From f7de54fc6fa6b40dfa2dfbe4c2a8ee933affa126 Mon Sep 17 00:00:00 2001 From: JanHenrik Date: Wed, 1 Apr 2020 00:40:03 +0200 Subject: added files --- .../DSP/Source/BasicMathFunctions/arm_abs_f32.c | 153 + .../DSP/Source/BasicMathFunctions/arm_abs_q15.c | 167 + .../DSP/Source/BasicMathFunctions/arm_abs_q31.c | 118 + .../DSP/Source/BasicMathFunctions/arm_abs_q7.c | 145 + .../DSP/Source/BasicMathFunctions/arm_add_f32.c | 138 + .../DSP/Source/BasicMathFunctions/arm_add_q15.c | 128 + .../DSP/Source/BasicMathFunctions/arm_add_q31.c | 136 + .../DSP/Source/BasicMathFunctions/arm_add_q7.c | 122 + .../Source/BasicMathFunctions/arm_dot_prod_f32.c | 123 + .../Source/BasicMathFunctions/arm_dot_prod_q15.c | 128 + .../Source/BasicMathFunctions/arm_dot_prod_q31.c | 131 + .../Source/BasicMathFunctions/arm_dot_prod_q7.c | 147 + .../DSP/Source/BasicMathFunctions/arm_mult_f32.c | 162 + .../DSP/Source/BasicMathFunctions/arm_mult_q15.c | 142 + .../DSP/Source/BasicMathFunctions/arm_mult_q31.c | 148 + .../DSP/Source/BasicMathFunctions/arm_mult_q7.c | 115 + .../DSP/Source/BasicMathFunctions/arm_negate_f32.c | 134 + .../DSP/Source/BasicMathFunctions/arm_negate_q15.c | 131 + .../DSP/Source/BasicMathFunctions/arm_negate_q31.c | 117 + .../DSP/Source/BasicMathFunctions/arm_negate_q7.c | 113 + .../DSP/Source/BasicMathFunctions/arm_offset_f32.c | 154 + .../DSP/Source/BasicMathFunctions/arm_offset_q15.c | 124 + .../DSP/Source/BasicMathFunctions/arm_offset_q31.c | 128 + .../DSP/Source/BasicMathFunctions/arm_offset_q7.c | 123 + .../DSP/Source/BasicMathFunctions/arm_scale_f32.c | 157 + .../DSP/Source/BasicMathFunctions/arm_scale_q15.c | 150 + .../DSP/Source/BasicMathFunctions/arm_scale_q31.c | 227 + .../DSP/Source/BasicMathFunctions/arm_scale_q7.c | 137 + .../DSP/Source/BasicMathFunctions/arm_shift_q15.c | 236 + .../DSP/Source/BasicMathFunctions/arm_shift_q31.c | 191 + .../DSP/Source/BasicMathFunctions/arm_shift_q7.c | 208 + .../DSP/Source/BasicMathFunctions/arm_sub_f32.c | 138 + .../DSP/Source/BasicMathFunctions/arm_sub_q15.c | 128 + .../DSP/Source/BasicMathFunctions/arm_sub_q31.c | 134 + .../DSP/Source/BasicMathFunctions/arm_sub_q7.c | 119 + .../DSP/Source/CommonTables/arm_common_tables.c | 22176 +++++++++++++++++++ .../DSP/Source/CommonTables/arm_const_structs.c | 379 + .../ComplexMathFunctions/arm_cmplx_conj_f32.c | 171 + .../ComplexMathFunctions/arm_cmplx_conj_q15.c | 149 + .../ComplexMathFunctions/arm_cmplx_conj_q31.c | 169 + .../ComplexMathFunctions/arm_cmplx_dot_prod_f32.c | 191 + .../ComplexMathFunctions/arm_cmplx_dot_prod_q15.c | 177 + .../ComplexMathFunctions/arm_cmplx_dot_prod_q31.c | 175 + .../ComplexMathFunctions/arm_cmplx_mag_f32.c | 153 + .../ComplexMathFunctions/arm_cmplx_mag_q15.c | 141 + .../ComplexMathFunctions/arm_cmplx_mag_q31.c | 173 + .../arm_cmplx_mag_squared_f32.c | 204 + .../arm_cmplx_mag_squared_q15.c | 136 + .../arm_cmplx_mag_squared_q31.c | 149 + .../arm_cmplx_mult_cmplx_f32.c | 196 + .../arm_cmplx_mult_cmplx_q15.c | 181 + .../arm_cmplx_mult_cmplx_q31.c | 314 + .../ComplexMathFunctions/arm_cmplx_mult_real_f32.c | 213 + .../ComplexMathFunctions/arm_cmplx_mult_real_q15.c | 191 + .../ComplexMathFunctions/arm_cmplx_mult_real_q31.c | 211 + .../Source/ControllerFunctions/arm_pid_init_f32.c | 74 + .../Source/ControllerFunctions/arm_pid_init_q15.c | 110 + .../Source/ControllerFunctions/arm_pid_init_q31.c | 95 + .../Source/ControllerFunctions/arm_pid_reset_f32.c | 53 + .../Source/ControllerFunctions/arm_pid_reset_q15.c | 52 + .../Source/ControllerFunctions/arm_pid_reset_q31.c | 53 + .../Source/ControllerFunctions/arm_sin_cos_f32.c | 144 + .../Source/ControllerFunctions/arm_sin_cos_q31.c | 110 + .../DSP/Source/FastMathFunctions/arm_cos_f32.c | 115 + .../DSP/Source/FastMathFunctions/arm_cos_q15.c | 84 + .../DSP/Source/FastMathFunctions/arm_cos_q31.c | 84 + .../DSP/Source/FastMathFunctions/arm_sin_f32.c | 123 + .../DSP/Source/FastMathFunctions/arm_sin_q15.c | 76 + .../DSP/Source/FastMathFunctions/arm_sin_q31.c | 75 + .../DSP/Source/FastMathFunctions/arm_sqrt_q15.c | 144 + .../DSP/Source/FastMathFunctions/arm_sqrt_q31.c | 142 + .../arm_biquad_cascade_df1_32x64_init_q31.c | 98 + .../arm_biquad_cascade_df1_32x64_q31.c | 549 + .../arm_biquad_cascade_df1_f32.c | 412 + .../arm_biquad_cascade_df1_fast_q15.c | 273 + .../arm_biquad_cascade_df1_fast_q31.c | 292 + .../arm_biquad_cascade_df1_init_f32.c | 97 + .../arm_biquad_cascade_df1_init_q15.c | 99 + .../arm_biquad_cascade_df1_init_q31.c | 98 + .../arm_biquad_cascade_df1_q15.c | 398 + .../arm_biquad_cascade_df1_q31.c | 392 + .../arm_biquad_cascade_df2T_f32.c | 590 + .../arm_biquad_cascade_df2T_f64.c | 590 + .../arm_biquad_cascade_df2T_init_f32.c | 89 + .../arm_biquad_cascade_df2T_init_f64.c | 89 + .../arm_biquad_cascade_stereo_df2T_f32.c | 670 + .../arm_biquad_cascade_stereo_df2T_init_f32.c | 89 + .../DSP/Source/FilteringFunctions/arm_conv_f32.c | 635 + .../FilteringFunctions/arm_conv_fast_opt_q15.c | 531 + .../Source/FilteringFunctions/arm_conv_fast_q15.c | 1398 ++ .../Source/FilteringFunctions/arm_conv_fast_q31.c | 565 + .../Source/FilteringFunctions/arm_conv_opt_q15.c | 533 + .../Source/FilteringFunctions/arm_conv_opt_q7.c | 423 + .../FilteringFunctions/arm_conv_partial_f32.c | 678 + .../arm_conv_partial_fast_opt_q15.c | 756 + .../FilteringFunctions/arm_conv_partial_fast_q15.c | 1494 ++ .../FilteringFunctions/arm_conv_partial_fast_q31.c | 620 + .../FilteringFunctions/arm_conv_partial_opt_q15.c | 753 + .../FilteringFunctions/arm_conv_partial_opt_q7.c | 791 + .../FilteringFunctions/arm_conv_partial_q15.c | 795 + .../FilteringFunctions/arm_conv_partial_q31.c | 616 + .../FilteringFunctions/arm_conv_partial_q7.c | 750 + .../DSP/Source/FilteringFunctions/arm_conv_q15.c | 722 + .../DSP/Source/FilteringFunctions/arm_conv_q31.c | 553 + .../DSP/Source/FilteringFunctions/arm_conv_q7.c | 678 + .../Source/FilteringFunctions/arm_correlate_f32.c | 727 + .../arm_correlate_fast_opt_q15.c | 500 + .../FilteringFunctions/arm_correlate_fast_q15.c | 1307 ++ .../FilteringFunctions/arm_correlate_fast_q31.c | 600 + .../FilteringFunctions/arm_correlate_opt_q15.c | 501 + .../FilteringFunctions/arm_correlate_opt_q7.c | 452 + .../Source/FilteringFunctions/arm_correlate_q15.c | 707 + .../Source/FilteringFunctions/arm_correlate_q31.c | 653 + .../Source/FilteringFunctions/arm_correlate_q7.c | 778 + .../FilteringFunctions/arm_fir_decimate_f32.c | 512 + .../FilteringFunctions/arm_fir_decimate_fast_q15.c | 586 + .../FilteringFunctions/arm_fir_decimate_fast_q31.c | 339 + .../FilteringFunctions/arm_fir_decimate_init_f32.c | 105 + .../FilteringFunctions/arm_fir_decimate_init_q15.c | 107 + .../FilteringFunctions/arm_fir_decimate_init_q31.c | 105 + .../FilteringFunctions/arm_fir_decimate_q15.c | 684 + .../FilteringFunctions/arm_fir_decimate_q31.c | 299 + .../DSP/Source/FilteringFunctions/arm_fir_f32.c | 985 + .../Source/FilteringFunctions/arm_fir_fast_q15.c | 333 + .../Source/FilteringFunctions/arm_fir_fast_q31.c | 293 + .../Source/FilteringFunctions/arm_fir_init_f32.c | 84 + .../Source/FilteringFunctions/arm_fir_init_q15.c | 142 + .../Source/FilteringFunctions/arm_fir_init_q31.c | 84 + .../Source/FilteringFunctions/arm_fir_init_q7.c | 82 + .../FilteringFunctions/arm_fir_interpolate_f32.c | 569 + .../arm_fir_interpolate_init_f32.c | 109 + .../arm_fir_interpolate_init_q15.c | 108 + .../arm_fir_interpolate_init_q31.c | 109 + .../FilteringFunctions/arm_fir_interpolate_q15.c | 496 + .../FilteringFunctions/arm_fir_interpolate_q31.c | 492 + .../FilteringFunctions/arm_fir_lattice_f32.c | 494 + .../FilteringFunctions/arm_fir_lattice_init_f32.c | 71 + .../FilteringFunctions/arm_fir_lattice_init_q15.c | 71 + .../FilteringFunctions/arm_fir_lattice_init_q31.c | 71 + .../FilteringFunctions/arm_fir_lattice_q15.c | 524 + .../FilteringFunctions/arm_fir_lattice_q31.c | 341 + .../DSP/Source/FilteringFunctions/arm_fir_q15.c | 679 + .../DSP/Source/FilteringFunctions/arm_fir_q31.c | 353 + .../DSP/Source/FilteringFunctions/arm_fir_q7.c | 385 + .../Source/FilteringFunctions/arm_fir_sparse_f32.c | 433 + .../FilteringFunctions/arm_fir_sparse_init_f32.c | 95 + .../FilteringFunctions/arm_fir_sparse_init_q15.c | 95 + .../FilteringFunctions/arm_fir_sparse_init_q31.c | 94 + .../FilteringFunctions/arm_fir_sparse_init_q7.c | 95 + .../Source/FilteringFunctions/arm_fir_sparse_q15.c | 470 + .../Source/FilteringFunctions/arm_fir_sparse_q31.c | 450 + .../Source/FilteringFunctions/arm_fir_sparse_q7.c | 469 + .../FilteringFunctions/arm_iir_lattice_f32.c | 435 + .../FilteringFunctions/arm_iir_lattice_init_f32.c | 79 + .../FilteringFunctions/arm_iir_lattice_init_q15.c | 79 + .../FilteringFunctions/arm_iir_lattice_init_q31.c | 79 + .../FilteringFunctions/arm_iir_lattice_q15.c | 452 + .../FilteringFunctions/arm_iir_lattice_q31.c | 338 + .../DSP/Source/FilteringFunctions/arm_lms_f32.c | 430 + .../Source/FilteringFunctions/arm_lms_init_f32.c | 83 + .../Source/FilteringFunctions/arm_lms_init_q15.c | 93 + .../Source/FilteringFunctions/arm_lms_init_q31.c | 93 + .../Source/FilteringFunctions/arm_lms_norm_f32.c | 454 + .../FilteringFunctions/arm_lms_norm_init_f32.c | 93 + .../FilteringFunctions/arm_lms_norm_init_q15.c | 100 + .../FilteringFunctions/arm_lms_norm_init_q31.c | 99 + .../Source/FilteringFunctions/arm_lms_norm_q15.c | 428 + .../Source/FilteringFunctions/arm_lms_norm_q31.c | 419 + .../DSP/Source/FilteringFunctions/arm_lms_q15.c | 368 + .../DSP/Source/FilteringFunctions/arm_lms_q31.c | 357 + .../DSP/Source/MatrixFunctions/arm_mat_add_f32.c | 196 + .../DSP/Source/MatrixFunctions/arm_mat_add_q15.c | 151 + .../DSP/Source/MatrixFunctions/arm_mat_add_q31.c | 195 + .../MatrixFunctions/arm_mat_cmplx_mult_f32.c | 272 + .../MatrixFunctions/arm_mat_cmplx_mult_q15.c | 413 + .../MatrixFunctions/arm_mat_cmplx_mult_q31.c | 282 + .../DSP/Source/MatrixFunctions/arm_mat_init_f32.c | 76 + .../DSP/Source/MatrixFunctions/arm_mat_init_q15.c | 67 + .../DSP/Source/MatrixFunctions/arm_mat_init_q31.c | 72 + .../Source/MatrixFunctions/arm_mat_inverse_f32.c | 691 + .../Source/MatrixFunctions/arm_mat_inverse_f64.c | 691 + .../DSP/Source/MatrixFunctions/arm_mat_mult_f32.c | 274 + .../Source/MatrixFunctions/arm_mat_mult_fast_q15.c | 525 + .../Source/MatrixFunctions/arm_mat_mult_fast_q31.c | 384 + .../DSP/Source/MatrixFunctions/arm_mat_mult_q15.c | 457 + .../DSP/Source/MatrixFunctions/arm_mat_mult_q31.c | 282 + .../DSP/Source/MatrixFunctions/arm_mat_scale_f32.c | 169 + .../DSP/Source/MatrixFunctions/arm_mat_scale_q15.c | 171 + .../DSP/Source/MatrixFunctions/arm_mat_scale_q31.c | 191 + .../DSP/Source/MatrixFunctions/arm_mat_sub_f32.c | 197 + .../DSP/Source/MatrixFunctions/arm_mat_sub_q15.c | 148 + .../DSP/Source/MatrixFunctions/arm_mat_sub_q31.c | 196 + .../DSP/Source/MatrixFunctions/arm_mat_trans_f32.c | 206 + .../DSP/Source/MatrixFunctions/arm_mat_trans_q15.c | 272 + .../DSP/Source/MatrixFunctions/arm_mat_trans_q31.c | 198 + .../DSP/Source/StatisticsFunctions/arm_max_f32.c | 170 + .../DSP/Source/StatisticsFunctions/arm_max_q15.c | 162 + .../DSP/Source/StatisticsFunctions/arm_max_q31.c | 162 + .../DSP/Source/StatisticsFunctions/arm_max_q7.c | 162 + .../DSP/Source/StatisticsFunctions/arm_mean_f32.c | 125 + .../DSP/Source/StatisticsFunctions/arm_mean_q15.c | 120 + .../DSP/Source/StatisticsFunctions/arm_mean_q31.c | 123 + .../DSP/Source/StatisticsFunctions/arm_mean_q7.c | 120 + .../DSP/Source/StatisticsFunctions/arm_min_f32.c | 170 + .../DSP/Source/StatisticsFunctions/arm_min_q15.c | 163 + .../DSP/Source/StatisticsFunctions/arm_min_q31.c | 163 + .../DSP/Source/StatisticsFunctions/arm_min_q7.c | 163 + .../DSP/Source/StatisticsFunctions/arm_power_f32.c | 129 + .../DSP/Source/StatisticsFunctions/arm_power_q15.c | 138 + .../DSP/Source/StatisticsFunctions/arm_power_q31.c | 129 + .../DSP/Source/StatisticsFunctions/arm_power_q7.c | 127 + .../DSP/Source/StatisticsFunctions/arm_rms_f32.c | 127 + .../DSP/Source/StatisticsFunctions/arm_rms_q15.c | 139 + .../DSP/Source/StatisticsFunctions/arm_rms_q31.c | 137 + .../DSP/Source/StatisticsFunctions/arm_std_f32.c | 186 + .../DSP/Source/StatisticsFunctions/arm_std_q15.c | 174 + .../DSP/Source/StatisticsFunctions/arm_std_q31.c | 169 + .../DSP/Source/StatisticsFunctions/arm_var_f32.c | 181 + .../DSP/Source/StatisticsFunctions/arm_var_q15.c | 172 + .../DSP/Source/StatisticsFunctions/arm_var_q31.c | 169 + .../DSP/Source/SupportFunctions/arm_copy_f32.c | 123 + .../DSP/Source/SupportFunctions/arm_copy_q15.c | 102 + .../DSP/Source/SupportFunctions/arm_copy_q31.c | 111 + .../DSP/Source/SupportFunctions/arm_copy_q7.c | 103 + .../DSP/Source/SupportFunctions/arm_fill_f32.c | 122 + .../DSP/Source/SupportFunctions/arm_fill_q15.c | 108 + .../DSP/Source/SupportFunctions/arm_fill_q31.c | 109 + .../DSP/Source/SupportFunctions/arm_fill_q7.c | 106 + .../DSP/Source/SupportFunctions/arm_float_to_q15.c | 192 + .../DSP/Source/SupportFunctions/arm_float_to_q31.c | 199 + .../DSP/Source/SupportFunctions/arm_float_to_q7.c | 191 + .../DSP/Source/SupportFunctions/arm_q15_to_float.c | 122 + .../DSP/Source/SupportFunctions/arm_q15_to_q31.c | 144 + .../DSP/Source/SupportFunctions/arm_q15_to_q7.c | 142 + .../DSP/Source/SupportFunctions/arm_q31_to_float.c | 119 + .../DSP/Source/SupportFunctions/arm_q31_to_q15.c | 133 + .../DSP/Source/SupportFunctions/arm_q31_to_q7.c | 124 + .../DSP/Source/SupportFunctions/arm_q7_to_float.c | 119 + .../DSP/Source/SupportFunctions/arm_q7_to_q15.c | 145 + .../DSP/Source/SupportFunctions/arm_q7_to_q31.c | 130 + .../Source/TransformFunctions/arm_bitreversal.c | 230 + .../Source/TransformFunctions/arm_bitreversal2.S | 216 + .../DSP/Source/TransformFunctions/arm_cfft_f32.c | 620 + .../DSP/Source/TransformFunctions/arm_cfft_q15.c | 345 + .../DSP/Source/TransformFunctions/arm_cfft_q31.c | 252 + .../TransformFunctions/arm_cfft_radix2_f32.c | 472 + .../TransformFunctions/arm_cfft_radix2_init_f32.c | 192 + .../TransformFunctions/arm_cfft_radix2_init_q15.c | 177 + .../TransformFunctions/arm_cfft_radix2_init_q31.c | 174 + .../TransformFunctions/arm_cfft_radix2_q15.c | 729 + .../TransformFunctions/arm_cfft_radix2_q31.c | 338 + .../TransformFunctions/arm_cfft_radix4_f32.c | 1209 + .../TransformFunctions/arm_cfft_radix4_init_f32.c | 152 + .../TransformFunctions/arm_cfft_radix4_init_q15.c | 140 + .../TransformFunctions/arm_cfft_radix4_init_q31.c | 136 + .../TransformFunctions/arm_cfft_radix4_q15.c | 1910 ++ .../TransformFunctions/arm_cfft_radix4_q31.c | 1389 ++ .../TransformFunctions/arm_cfft_radix8_f32.c | 285 + .../DSP/Source/TransformFunctions/arm_dct4_f32.c | 449 + .../Source/TransformFunctions/arm_dct4_init_f32.c | 16513 ++++++++++++++ .../Source/TransformFunctions/arm_dct4_init_q15.c | 4280 ++++ .../Source/TransformFunctions/arm_dct4_init_q31.c | 7686 +++++++ .../DSP/Source/TransformFunctions/arm_dct4_q15.c | 382 + .../DSP/Source/TransformFunctions/arm_dct4_q31.c | 383 + .../DSP/Source/TransformFunctions/arm_rfft_f32.c | 318 + .../Source/TransformFunctions/arm_rfft_fast_f32.c | 317 + .../TransformFunctions/arm_rfft_fast_init_f32.c | 131 + .../Source/TransformFunctions/arm_rfft_init_f32.c | 4273 ++++ .../Source/TransformFunctions/arm_rfft_init_q15.c | 2229 ++ .../Source/TransformFunctions/arm_rfft_init_q31.c | 4280 ++++ .../DSP/Source/TransformFunctions/arm_rfft_q15.c | 426 + .../DSP/Source/TransformFunctions/arm_rfft_q31.c | 283 + 272 files changed, 137184 insertions(+) create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_abs_f32.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_abs_q15.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_abs_q31.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_abs_q7.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_add_f32.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_add_q15.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_add_q31.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_add_q7.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_dot_prod_f32.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_dot_prod_q15.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_dot_prod_q31.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_dot_prod_q7.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_mult_f32.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_mult_q15.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_mult_q31.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_mult_q7.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_negate_f32.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_negate_q15.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_negate_q31.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_negate_q7.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_offset_f32.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_offset_q15.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_offset_q31.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_offset_q7.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_scale_f32.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_scale_q15.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_scale_q31.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_scale_q7.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_shift_q15.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_shift_q31.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_shift_q7.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_sub_f32.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_sub_q15.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_sub_q31.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_sub_q7.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/CommonTables/arm_common_tables.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/CommonTables/arm_const_structs.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_conj_f32.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_conj_q15.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_conj_q31.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_dot_prod_f32.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_dot_prod_q15.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_dot_prod_q31.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_f32.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_q15.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_q31.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_squared_f32.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_squared_q15.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_squared_q31.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_f32.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_q15.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_q31.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_real_f32.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_real_q15.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_real_q31.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_pid_init_f32.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_pid_init_q15.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_pid_init_q31.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_pid_reset_f32.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_pid_reset_q15.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_pid_reset_q31.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_sin_cos_f32.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_sin_cos_q31.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_cos_f32.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_cos_q15.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_cos_q31.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_sin_f32.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_sin_q15.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_sin_q31.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_sqrt_q15.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_sqrt_q31.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_32x64_init_q31.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_32x64_q31.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_f32.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_fast_q15.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_fast_q31.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_init_f32.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_init_q15.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_init_q31.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_q15.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_q31.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df2T_f32.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df2T_f64.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df2T_init_f32.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df2T_init_f64.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_stereo_df2T_f32.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_stereo_df2T_init_f32.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_f32.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_fast_opt_q15.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_fast_q15.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_fast_q31.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_opt_q15.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_opt_q7.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_f32.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_fast_opt_q15.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_fast_q15.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_fast_q31.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_opt_q15.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_opt_q7.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_q15.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_q31.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_q7.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_q15.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_q31.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_q7.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_f32.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_fast_opt_q15.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_fast_q15.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_fast_q31.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_opt_q15.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_opt_q7.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_q15.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_q31.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_q7.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_f32.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_fast_q15.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_fast_q31.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_init_f32.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_init_q15.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_init_q31.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_q15.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_q31.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_f32.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_fast_q15.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_fast_q31.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_init_f32.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_init_q15.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_init_q31.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_init_q7.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_f32.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_init_f32.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_init_q15.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_init_q31.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_q15.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_q31.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_f32.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_init_f32.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_init_q15.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_init_q31.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_q15.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_q31.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_q15.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_q31.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_q7.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_f32.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_init_f32.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_init_q15.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_init_q31.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_init_q7.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_q15.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_q31.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_q7.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_f32.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_init_f32.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_init_q15.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_init_q31.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_q15.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_q31.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_f32.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_init_f32.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_init_q15.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_init_q31.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_f32.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_init_f32.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_init_q15.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_init_q31.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_q15.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_q31.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_q15.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_q31.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_add_f32.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_add_q15.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_add_q31.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_cmplx_mult_f32.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_cmplx_mult_q15.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_cmplx_mult_q31.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_init_f32.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_init_q15.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_init_q31.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_inverse_f32.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_inverse_f64.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_f32.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_fast_q15.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_fast_q31.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_q15.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_q31.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_scale_f32.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_scale_q15.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_scale_q31.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_sub_f32.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_sub_q15.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_sub_q31.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_trans_f32.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_trans_q15.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_trans_q31.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_max_f32.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_max_q15.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_max_q31.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_max_q7.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_mean_f32.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_mean_q15.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_mean_q31.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_mean_q7.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_min_f32.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_min_q15.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_min_q31.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_min_q7.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_power_f32.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_power_q15.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_power_q31.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_power_q7.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_rms_f32.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_rms_q15.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_rms_q31.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_std_f32.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_std_q15.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_std_q31.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_var_f32.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_var_q15.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_var_q31.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_copy_f32.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_copy_q15.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_copy_q31.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_copy_q7.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_fill_f32.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_fill_q15.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_fill_q31.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_fill_q7.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_float_to_q15.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_float_to_q31.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_float_to_q7.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_q15_to_float.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_q15_to_q31.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_q15_to_q7.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_q31_to_float.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_q31_to_q15.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_q31_to_q7.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_q7_to_float.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_q7_to_q15.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_q7_to_q31.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_bitreversal.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_bitreversal2.S create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_f32.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_q15.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_q31.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix2_f32.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix2_init_f32.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix2_init_q15.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix2_init_q31.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix2_q15.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix2_q31.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix4_f32.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix4_init_f32.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix4_init_q15.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix4_init_q31.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix4_q15.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix4_q31.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix8_f32.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_dct4_f32.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_dct4_init_f32.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_dct4_init_q15.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_dct4_init_q31.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_dct4_q15.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_dct4_q31.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_rfft_f32.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_rfft_fast_f32.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_rfft_fast_init_f32.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_rfft_init_f32.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_rfft_init_q15.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_rfft_init_q31.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_rfft_q15.c create mode 100644 cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_rfft_q31.c (limited to 'cdc-dials/Drivers/CMSIS/DSP/Source') diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_abs_f32.c b/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_abs_f32.c new file mode 100644 index 0000000..69b2bfc --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_abs_f32.c @@ -0,0 +1,153 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_abs_f32.c + * Description: Floating-point vector absolute value + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include + +/** + * @ingroup groupMath + */ + +/** + * @defgroup BasicAbs Vector Absolute Value + * + * Computes the absolute value of a vector on an element-by-element basis. + * + *
+ *     pDst[n] = abs(pSrc[n]),   0 <= n < blockSize.
+ * 
+ * + * The functions support in-place computation allowing the source and + * destination pointers to reference the same memory buffer. + * There are separate functions for floating-point, Q7, Q15, and Q31 data types. + */ + +/** + * @addtogroup BasicAbs + * @{ + */ + +/** + * @brief Floating-point vector absolute value. + * @param[in] *pSrc points to the input buffer + * @param[out] *pDst points to the output buffer + * @param[in] blockSize number of samples in each vector + * @return none. + */ + +void arm_abs_f32( + float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counter */ + +#if defined (ARM_MATH_DSP) + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + float32_t in1, in2, in3, in4; /* temporary variables */ + + /*loop Unrolling */ + blkCnt = blockSize >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C = |A| */ + /* Calculate absolute and then store the results in the destination buffer. */ + /* read sample from source */ + in1 = *pSrc; + in2 = *(pSrc + 1); + in3 = *(pSrc + 2); + + /* find absolute value */ + in1 = fabsf(in1); + + /* read sample from source */ + in4 = *(pSrc + 3); + + /* find absolute value */ + in2 = fabsf(in2); + + /* read sample from source */ + *pDst = in1; + + /* find absolute value */ + in3 = fabsf(in3); + + /* find absolute value */ + in4 = fabsf(in4); + + /* store result to destination */ + *(pDst + 1) = in2; + + /* store result to destination */ + *(pDst + 2) = in3; + + /* store result to destination */ + *(pDst + 3) = in4; + + + /* Update source pointer to process next sampels */ + pSrc += 4U; + + /* Update destination pointer to process next sampels */ + pDst += 4U; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4U; + +#else + + /* Run the below code for Cortex-M0 */ + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_DSP) */ + + while (blkCnt > 0U) + { + /* C = |A| */ + /* Calculate absolute and then store the results in the destination buffer. */ + *pDst++ = fabsf(*pSrc++); + + /* Decrement the loop counter */ + blkCnt--; + } +} + +/** + * @} end of BasicAbs group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_abs_q15.c b/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_abs_q15.c new file mode 100644 index 0000000..4bed8cc --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_abs_q15.c @@ -0,0 +1,167 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_abs_q15.c + * Description: Q15 vector absolute value + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupMath + */ + +/** + * @addtogroup BasicAbs + * @{ + */ + +/** + * @brief Q15 vector absolute value. + * @param[in] *pSrc points to the input buffer + * @param[out] *pDst points to the output buffer + * @param[in] blockSize number of samples in each vector + * @return none. + * + * Scaling and Overflow Behavior: + * \par + * The function uses saturating arithmetic. + * The Q15 value -1 (0x8000) will be saturated to the maximum allowable positive value 0x7FFF. + */ + +void arm_abs_q15( + q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counter */ + +#if defined (ARM_MATH_DSP) + __SIMD32_TYPE *simd; + +/* Run the below code for Cortex-M4 and Cortex-M3 */ + + q15_t in1; /* Input value1 */ + q15_t in2; /* Input value2 */ + + + /*loop Unrolling */ + blkCnt = blockSize >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + simd = __SIMD32_CONST(pDst); + while (blkCnt > 0U) + { + /* C = |A| */ + /* Read two inputs */ + in1 = *pSrc++; + in2 = *pSrc++; + + + /* Store the Absolute result in the destination buffer by packing the two values, in a single cycle */ +#ifndef ARM_MATH_BIG_ENDIAN + *simd++ = + __PKHBT(((in1 > 0) ? in1 : (q15_t)__QSUB16(0, in1)), + ((in2 > 0) ? in2 : (q15_t)__QSUB16(0, in2)), 16); + +#else + + + *simd++ = + __PKHBT(((in2 > 0) ? in2 : (q15_t)__QSUB16(0, in2)), + ((in1 > 0) ? in1 : (q15_t)__QSUB16(0, in1)), 16); + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + in1 = *pSrc++; + in2 = *pSrc++; + + +#ifndef ARM_MATH_BIG_ENDIAN + + *simd++ = + __PKHBT(((in1 > 0) ? in1 : (q15_t)__QSUB16(0, in1)), + ((in2 > 0) ? in2 : (q15_t)__QSUB16(0, in2)), 16); + +#else + + + *simd++ = + __PKHBT(((in2 > 0) ? in2 : (q15_t)__QSUB16(0, in2)), + ((in1 > 0) ? in1 : (q15_t)__QSUB16(0, in1)), 16); + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* Decrement the loop counter */ + blkCnt--; + } + pDst = (q15_t *)simd; + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4U; + + while (blkCnt > 0U) + { + /* C = |A| */ + /* Read the input */ + in1 = *pSrc++; + + /* Calculate absolute value of input and then store the result in the destination buffer. */ + *pDst++ = (in1 > 0) ? in1 : (q15_t)__QSUB16(0, in1); + + /* Decrement the loop counter */ + blkCnt--; + } + +#else + + /* Run the below code for Cortex-M0 */ + + q15_t in; /* Temporary input variable */ + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + + while (blkCnt > 0U) + { + /* C = |A| */ + /* Read the input */ + in = *pSrc++; + + /* Calculate absolute value of input and then store the result in the destination buffer. */ + *pDst++ = (in > 0) ? in : ((in == (q15_t) 0x8000) ? 0x7fff : -in); + + /* Decrement the loop counter */ + blkCnt--; + } + +#endif /* #if defined (ARM_MATH_DSP) */ + +} + +/** + * @} end of BasicAbs group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_abs_q31.c b/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_abs_q31.c new file mode 100644 index 0000000..25cd036 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_abs_q31.c @@ -0,0 +1,118 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_abs_q31.c + * Description: Q31 vector absolute value + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupMath + */ + +/** + * @addtogroup BasicAbs + * @{ + */ + + +/** + * @brief Q31 vector absolute value. + * @param[in] *pSrc points to the input buffer + * @param[out] *pDst points to the output buffer + * @param[in] blockSize number of samples in each vector + * @return none. + * + * Scaling and Overflow Behavior: + * \par + * The function uses saturating arithmetic. + * The Q31 value -1 (0x80000000) will be saturated to the maximum allowable positive value 0x7FFFFFFF. + */ + +void arm_abs_q31( + q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counter */ + q31_t in; /* Input value */ + +#if defined (ARM_MATH_DSP) + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + q31_t in1, in2, in3, in4; + + /*loop Unrolling */ + blkCnt = blockSize >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C = |A| */ + /* Calculate absolute of input (if -1 then saturated to 0x7fffffff) and then store the results in the destination buffer. */ + in1 = *pSrc++; + in2 = *pSrc++; + in3 = *pSrc++; + in4 = *pSrc++; + + *pDst++ = (in1 > 0) ? in1 : (q31_t)__QSUB(0, in1); + *pDst++ = (in2 > 0) ? in2 : (q31_t)__QSUB(0, in2); + *pDst++ = (in3 > 0) ? in3 : (q31_t)__QSUB(0, in3); + *pDst++ = (in4 > 0) ? in4 : (q31_t)__QSUB(0, in4); + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4U; + +#else + + /* Run the below code for Cortex-M0 */ + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_DSP) */ + + while (blkCnt > 0U) + { + /* C = |A| */ + /* Calculate absolute value of the input (if -1 then saturated to 0x7fffffff) and then store the results in the destination buffer. */ + in = *pSrc++; + *pDst++ = (in > 0) ? in : ((in == INT32_MIN) ? INT32_MAX : -in); + + /* Decrement the loop counter */ + blkCnt--; + } + +} + +/** + * @} end of BasicAbs group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_abs_q7.c b/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_abs_q7.c new file mode 100644 index 0000000..1ab2a1c --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_abs_q7.c @@ -0,0 +1,145 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_abs_q7.c + * Description: Q7 vector absolute value + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupMath + */ + +/** + * @addtogroup BasicAbs + * @{ + */ + +/** + * @brief Q7 vector absolute value. + * @param[in] *pSrc points to the input buffer + * @param[out] *pDst points to the output buffer + * @param[in] blockSize number of samples in each vector + * @return none. + * + * \par Conditions for optimum performance + * Input and output buffers should be aligned by 32-bit + * + * + * Scaling and Overflow Behavior: + * \par + * The function uses saturating arithmetic. + * The Q7 value -1 (0x80) will be saturated to the maximum allowable positive value 0x7F. + */ + +void arm_abs_q7( + q7_t * pSrc, + q7_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counter */ + q7_t in; /* Input value1 */ + +#if defined (ARM_MATH_DSP) + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + q31_t in1, in2, in3, in4; /* temporary input variables */ + q31_t out1, out2, out3, out4; /* temporary output variables */ + + /*loop Unrolling */ + blkCnt = blockSize >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C = |A| */ + /* Read inputs */ + in1 = (q31_t) * pSrc; + in2 = (q31_t) * (pSrc + 1); + in3 = (q31_t) * (pSrc + 2); + + /* find absolute value */ + out1 = (in1 > 0) ? in1 : (q31_t)__QSUB8(0, in1); + + /* read input */ + in4 = (q31_t) * (pSrc + 3); + + /* find absolute value */ + out2 = (in2 > 0) ? in2 : (q31_t)__QSUB8(0, in2); + + /* store result to destination */ + *pDst = (q7_t) out1; + + /* find absolute value */ + out3 = (in3 > 0) ? in3 : (q31_t)__QSUB8(0, in3); + + /* find absolute value */ + out4 = (in4 > 0) ? in4 : (q31_t)__QSUB8(0, in4); + + /* store result to destination */ + *(pDst + 1) = (q7_t) out2; + + /* store result to destination */ + *(pDst + 2) = (q7_t) out3; + + /* store result to destination */ + *(pDst + 3) = (q7_t) out4; + + /* update pointers to process next samples */ + pSrc += 4U; + pDst += 4U; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4U; +#else + + /* Run the below code for Cortex-M0 */ + blkCnt = blockSize; + +#endif /* #define ARM_MATH_CM0_FAMILY */ + + while (blkCnt > 0U) + { + /* C = |A| */ + /* Read the input */ + in = *pSrc++; + + /* Store the Absolute result in the destination buffer */ + *pDst++ = (in > 0) ? in : ((in == (q7_t) 0x80) ? 0x7f : -in); + + /* Decrement the loop counter */ + blkCnt--; + } +} + +/** + * @} end of BasicAbs group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_add_f32.c b/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_add_f32.c new file mode 100644 index 0000000..4d1ac4d --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_add_f32.c @@ -0,0 +1,138 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_add_f32.c + * Description: Floating-point vector addition + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupMath + */ + +/** + * @defgroup BasicAdd Vector Addition + * + * Element-by-element addition of two vectors. + * + *
+ *     pDst[n] = pSrcA[n] + pSrcB[n],   0 <= n < blockSize.
+ * 
+ * + * There are separate functions for floating-point, Q7, Q15, and Q31 data types. + */ + +/** + * @addtogroup BasicAdd + * @{ + */ + +/** + * @brief Floating-point vector addition. + * @param[in] *pSrcA points to the first input vector + * @param[in] *pSrcB points to the second input vector + * @param[out] *pDst points to the output vector + * @param[in] blockSize number of samples in each vector + * @return none. + */ + +void arm_add_f32( + float32_t * pSrcA, + float32_t * pSrcB, + float32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counter */ + +#if defined (ARM_MATH_DSP) + +/* Run the below code for Cortex-M4 and Cortex-M3 */ + float32_t inA1, inA2, inA3, inA4; /* temporary input variabels */ + float32_t inB1, inB2, inB3, inB4; /* temporary input variables */ + + /*loop Unrolling */ + blkCnt = blockSize >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C = A + B */ + /* Add and then store the results in the destination buffer. */ + + /* read four inputs from sourceA and four inputs from sourceB */ + inA1 = *pSrcA; + inB1 = *pSrcB; + inA2 = *(pSrcA + 1); + inB2 = *(pSrcB + 1); + inA3 = *(pSrcA + 2); + inB3 = *(pSrcB + 2); + inA4 = *(pSrcA + 3); + inB4 = *(pSrcB + 3); + + /* C = A + B */ + /* add and store result to destination */ + *pDst = inA1 + inB1; + *(pDst + 1) = inA2 + inB2; + *(pDst + 2) = inA3 + inB3; + *(pDst + 3) = inA4 + inB4; + + /* update pointers to process next samples */ + pSrcA += 4U; + pSrcB += 4U; + pDst += 4U; + + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4U; + +#else + + /* Run the below code for Cortex-M0 */ + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_DSP) */ + + while (blkCnt > 0U) + { + /* C = A + B */ + /* Add and then store the results in the destination buffer. */ + *pDst++ = (*pSrcA++) + (*pSrcB++); + + /* Decrement the loop counter */ + blkCnt--; + } +} + +/** + * @} end of BasicAdd group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_add_q15.c b/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_add_q15.c new file mode 100644 index 0000000..2a14c29 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_add_q15.c @@ -0,0 +1,128 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_add_q15.c + * Description: Q15 vector addition + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupMath + */ + +/** + * @addtogroup BasicAdd + * @{ + */ + +/** + * @brief Q15 vector addition. + * @param[in] *pSrcA points to the first input vector + * @param[in] *pSrcB points to the second input vector + * @param[out] *pDst points to the output vector + * @param[in] blockSize number of samples in each vector + * @return none. + * + * Scaling and Overflow Behavior: + * \par + * The function uses saturating arithmetic. + * Results outside of the allowable Q15 range [0x8000 0x7FFF] will be saturated. + */ + +void arm_add_q15( + q15_t * pSrcA, + q15_t * pSrcB, + q15_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counter */ + +#if defined (ARM_MATH_DSP) + +/* Run the below code for Cortex-M4 and Cortex-M3 */ + q31_t inA1, inA2, inB1, inB2; + + /*loop Unrolling */ + blkCnt = blockSize >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C = A + B */ + /* Add and then store the results in the destination buffer. */ + inA1 = *__SIMD32(pSrcA)++; + inA2 = *__SIMD32(pSrcA)++; + inB1 = *__SIMD32(pSrcB)++; + inB2 = *__SIMD32(pSrcB)++; + + *__SIMD32(pDst)++ = __QADD16(inA1, inB1); + *__SIMD32(pDst)++ = __QADD16(inA2, inB2); + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4U; + + while (blkCnt > 0U) + { + /* C = A + B */ + /* Add and then store the results in the destination buffer. */ + *pDst++ = (q15_t) __QADD16(*pSrcA++, *pSrcB++); + + /* Decrement the loop counter */ + blkCnt--; + } + +#else + + /* Run the below code for Cortex-M0 */ + + + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + + while (blkCnt > 0U) + { + /* C = A + B */ + /* Add and then store the results in the destination buffer. */ + *pDst++ = (q15_t) __SSAT(((q31_t) * pSrcA++ + *pSrcB++), 16); + + /* Decrement the loop counter */ + blkCnt--; + } + +#endif /* #if defined (ARM_MATH_DSP) */ + + +} + +/** + * @} end of BasicAdd group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_add_q31.c b/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_add_q31.c new file mode 100644 index 0000000..7503e1a --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_add_q31.c @@ -0,0 +1,136 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_add_q31.c + * Description: Q31 vector addition + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupMath + */ + +/** + * @addtogroup BasicAdd + * @{ + */ + + +/** + * @brief Q31 vector addition. + * @param[in] *pSrcA points to the first input vector + * @param[in] *pSrcB points to the second input vector + * @param[out] *pDst points to the output vector + * @param[in] blockSize number of samples in each vector + * @return none. + * + * Scaling and Overflow Behavior: + * \par + * The function uses saturating arithmetic. + * Results outside of the allowable Q31 range[0x80000000 0x7FFFFFFF] will be saturated. + */ + +void arm_add_q31( + q31_t * pSrcA, + q31_t * pSrcB, + q31_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counter */ + +#if defined (ARM_MATH_DSP) + +/* Run the below code for Cortex-M4 and Cortex-M3 */ + q31_t inA1, inA2, inA3, inA4; + q31_t inB1, inB2, inB3, inB4; + + /*loop Unrolling */ + blkCnt = blockSize >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C = A + B */ + /* Add and then store the results in the destination buffer. */ + inA1 = *pSrcA++; + inA2 = *pSrcA++; + inB1 = *pSrcB++; + inB2 = *pSrcB++; + + inA3 = *pSrcA++; + inA4 = *pSrcA++; + inB3 = *pSrcB++; + inB4 = *pSrcB++; + + *pDst++ = __QADD(inA1, inB1); + *pDst++ = __QADD(inA2, inB2); + *pDst++ = __QADD(inA3, inB3); + *pDst++ = __QADD(inA4, inB4); + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4U; + + while (blkCnt > 0U) + { + /* C = A + B */ + /* Add and then store the results in the destination buffer. */ + *pDst++ = __QADD(*pSrcA++, *pSrcB++); + + /* Decrement the loop counter */ + blkCnt--; + } + +#else + + /* Run the below code for Cortex-M0 */ + + + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + + while (blkCnt > 0U) + { + /* C = A + B */ + /* Add and then store the results in the destination buffer. */ + *pDst++ = (q31_t) clip_q63_to_q31((q63_t) * pSrcA++ + *pSrcB++); + + /* Decrement the loop counter */ + blkCnt--; + } + +#endif /* #if defined (ARM_MATH_DSP) */ + +} + +/** + * @} end of BasicAdd group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_add_q7.c b/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_add_q7.c new file mode 100644 index 0000000..fee1865 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_add_q7.c @@ -0,0 +1,122 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_add_q7.c + * Description: Q7 vector addition + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupMath + */ + +/** + * @addtogroup BasicAdd + * @{ + */ + +/** + * @brief Q7 vector addition. + * @param[in] *pSrcA points to the first input vector + * @param[in] *pSrcB points to the second input vector + * @param[out] *pDst points to the output vector + * @param[in] blockSize number of samples in each vector + * @return none. + * + * Scaling and Overflow Behavior: + * \par + * The function uses saturating arithmetic. + * Results outside of the allowable Q7 range [0x80 0x7F] will be saturated. + */ + +void arm_add_q7( + q7_t * pSrcA, + q7_t * pSrcB, + q7_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counter */ + +#if defined (ARM_MATH_DSP) + +/* Run the below code for Cortex-M4 and Cortex-M3 */ + + + /*loop Unrolling */ + blkCnt = blockSize >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C = A + B */ + /* Add and then store the results in the destination buffer. */ + *__SIMD32(pDst)++ = __QADD8(*__SIMD32(pSrcA)++, *__SIMD32(pSrcB)++); + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4U; + + while (blkCnt > 0U) + { + /* C = A + B */ + /* Add and then store the results in the destination buffer. */ + *pDst++ = (q7_t) __SSAT(*pSrcA++ + *pSrcB++, 8); + + /* Decrement the loop counter */ + blkCnt--; + } + +#else + + /* Run the below code for Cortex-M0 */ + + + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + + while (blkCnt > 0U) + { + /* C = A + B */ + /* Add and then store the results in the destination buffer. */ + *pDst++ = (q7_t) __SSAT((q15_t) * pSrcA++ + *pSrcB++, 8); + + /* Decrement the loop counter */ + blkCnt--; + } + +#endif /* #if defined (ARM_MATH_DSP) */ + + +} + +/** + * @} end of BasicAdd group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_dot_prod_f32.c b/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_dot_prod_f32.c new file mode 100644 index 0000000..6c7aae1 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_dot_prod_f32.c @@ -0,0 +1,123 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_dot_prod_f32.c + * Description: Floating-point dot product + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupMath + */ + +/** + * @defgroup dot_prod Vector Dot Product + * + * Computes the dot product of two vectors. + * The vectors are multiplied element-by-element and then summed. + * + *
+ *     sum = pSrcA[0]*pSrcB[0] + pSrcA[1]*pSrcB[1] + ... + pSrcA[blockSize-1]*pSrcB[blockSize-1]
+ * 
+ * + * There are separate functions for floating-point, Q7, Q15, and Q31 data types. + */ + +/** + * @addtogroup dot_prod + * @{ + */ + +/** + * @brief Dot product of floating-point vectors. + * @param[in] *pSrcA points to the first input vector + * @param[in] *pSrcB points to the second input vector + * @param[in] blockSize number of samples in each vector + * @param[out] *result output result returned here + * @return none. + */ + + +void arm_dot_prod_f32( + float32_t * pSrcA, + float32_t * pSrcB, + uint32_t blockSize, + float32_t * result) +{ + float32_t sum = 0.0f; /* Temporary result storage */ + uint32_t blkCnt; /* loop counter */ + + +#if defined (ARM_MATH_DSP) + +/* Run the below code for Cortex-M4 and Cortex-M3 */ + /*loop Unrolling */ + blkCnt = blockSize >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] */ + /* Calculate dot product and then store the result in a temporary buffer */ + sum += (*pSrcA++) * (*pSrcB++); + sum += (*pSrcA++) * (*pSrcB++); + sum += (*pSrcA++) * (*pSrcB++); + sum += (*pSrcA++) * (*pSrcB++); + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4U; + +#else + + /* Run the below code for Cortex-M0 */ + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_DSP) */ + + + while (blkCnt > 0U) + { + /* C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] */ + /* Calculate dot product and then store the result in a temporary buffer. */ + sum += (*pSrcA++) * (*pSrcB++); + + /* Decrement the loop counter */ + blkCnt--; + } + /* Store the result back in the destination buffer */ + *result = sum; +} + +/** + * @} end of dot_prod group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_dot_prod_q15.c b/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_dot_prod_q15.c new file mode 100644 index 0000000..6a48242 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_dot_prod_q15.c @@ -0,0 +1,128 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_dot_prod_q15.c + * Description: Q15 dot product + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupMath + */ + +/** + * @addtogroup dot_prod + * @{ + */ + +/** + * @brief Dot product of Q15 vectors. + * @param[in] *pSrcA points to the first input vector + * @param[in] *pSrcB points to the second input vector + * @param[in] blockSize number of samples in each vector + * @param[out] *result output result returned here + * @return none. + * + * Scaling and Overflow Behavior: + * \par + * The intermediate multiplications are in 1.15 x 1.15 = 2.30 format and these + * results are added to a 64-bit accumulator in 34.30 format. + * Nonsaturating additions are used and given that there are 33 guard bits in the accumulator + * there is no risk of overflow. + * The return result is in 34.30 format. + */ + +void arm_dot_prod_q15( + q15_t * pSrcA, + q15_t * pSrcB, + uint32_t blockSize, + q63_t * result) +{ + q63_t sum = 0; /* Temporary result storage */ + uint32_t blkCnt; /* loop counter */ + +#if defined (ARM_MATH_DSP) + +/* Run the below code for Cortex-M4 and Cortex-M3 */ + + + /*loop Unrolling */ + blkCnt = blockSize >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] */ + /* Calculate dot product and then store the result in a temporary buffer. */ + sum = __SMLALD(*__SIMD32(pSrcA)++, *__SIMD32(pSrcB)++, sum); + sum = __SMLALD(*__SIMD32(pSrcA)++, *__SIMD32(pSrcB)++, sum); + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4U; + + while (blkCnt > 0U) + { + /* C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] */ + /* Calculate dot product and then store the results in a temporary buffer. */ + sum = __SMLALD(*pSrcA++, *pSrcB++, sum); + + /* Decrement the loop counter */ + blkCnt--; + } + + +#else + + /* Run the below code for Cortex-M0 */ + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + + while (blkCnt > 0U) + { + /* C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] */ + /* Calculate dot product and then store the results in a temporary buffer. */ + sum += (q63_t) ((q31_t) * pSrcA++ * *pSrcB++); + + /* Decrement the loop counter */ + blkCnt--; + } + +#endif /* #if defined (ARM_MATH_DSP) */ + + /* Store the result in the destination buffer in 34.30 format */ + *result = sum; + +} + +/** + * @} end of dot_prod group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_dot_prod_q31.c b/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_dot_prod_q31.c new file mode 100644 index 0000000..e739879 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_dot_prod_q31.c @@ -0,0 +1,131 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_dot_prod_q31.c + * Description: Q31 dot product + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupMath + */ + +/** + * @addtogroup dot_prod + * @{ + */ + +/** + * @brief Dot product of Q31 vectors. + * @param[in] *pSrcA points to the first input vector + * @param[in] *pSrcB points to the second input vector + * @param[in] blockSize number of samples in each vector + * @param[out] *result output result returned here + * @return none. + * + * Scaling and Overflow Behavior: + * \par + * The intermediate multiplications are in 1.31 x 1.31 = 2.62 format and these + * are truncated to 2.48 format by discarding the lower 14 bits. + * The 2.48 result is then added without saturation to a 64-bit accumulator in 16.48 format. + * There are 15 guard bits in the accumulator and there is no risk of overflow as long as + * the length of the vectors is less than 2^16 elements. + * The return result is in 16.48 format. + */ + +void arm_dot_prod_q31( + q31_t * pSrcA, + q31_t * pSrcB, + uint32_t blockSize, + q63_t * result) +{ + q63_t sum = 0; /* Temporary result storage */ + uint32_t blkCnt; /* loop counter */ + + +#if defined (ARM_MATH_DSP) + +/* Run the below code for Cortex-M4 and Cortex-M3 */ + q31_t inA1, inA2, inA3, inA4; + q31_t inB1, inB2, inB3, inB4; + + /*loop Unrolling */ + blkCnt = blockSize >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] */ + /* Calculate dot product and then store the result in a temporary buffer. */ + inA1 = *pSrcA++; + inA2 = *pSrcA++; + inA3 = *pSrcA++; + inA4 = *pSrcA++; + inB1 = *pSrcB++; + inB2 = *pSrcB++; + inB3 = *pSrcB++; + inB4 = *pSrcB++; + + sum += ((q63_t) inA1 * inB1) >> 14U; + sum += ((q63_t) inA2 * inB2) >> 14U; + sum += ((q63_t) inA3 * inB3) >> 14U; + sum += ((q63_t) inA4 * inB4) >> 14U; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4U; + +#else + + /* Run the below code for Cortex-M0 */ + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_DSP) */ + + + while (blkCnt > 0U) + { + /* C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] */ + /* Calculate dot product and then store the result in a temporary buffer. */ + sum += ((q63_t) * pSrcA++ * *pSrcB++) >> 14U; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Store the result in the destination buffer in 16.48 format */ + *result = sum; +} + +/** + * @} end of dot_prod group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_dot_prod_q7.c b/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_dot_prod_q7.c new file mode 100644 index 0000000..ef08038 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_dot_prod_q7.c @@ -0,0 +1,147 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_dot_prod_q7.c + * Description: Q7 dot product + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupMath + */ + +/** + * @addtogroup dot_prod + * @{ + */ + +/** + * @brief Dot product of Q7 vectors. + * @param[in] *pSrcA points to the first input vector + * @param[in] *pSrcB points to the second input vector + * @param[in] blockSize number of samples in each vector + * @param[out] *result output result returned here + * @return none. + * + * Scaling and Overflow Behavior: + * \par + * The intermediate multiplications are in 1.7 x 1.7 = 2.14 format and these + * results are added to an accumulator in 18.14 format. + * Nonsaturating additions are used and there is no danger of wrap around as long as + * the vectors are less than 2^18 elements long. + * The return result is in 18.14 format. + */ + +void arm_dot_prod_q7( + q7_t * pSrcA, + q7_t * pSrcB, + uint32_t blockSize, + q31_t * result) +{ + uint32_t blkCnt; /* loop counter */ + + q31_t sum = 0; /* Temporary variables to store output */ + +#if defined (ARM_MATH_DSP) + +/* Run the below code for Cortex-M4 and Cortex-M3 */ + + q31_t input1, input2; /* Temporary variables to store input */ + q31_t inA1, inA2, inB1, inB2; /* Temporary variables to store input */ + + + + /*loop Unrolling */ + blkCnt = blockSize >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* read 4 samples at a time from sourceA */ + input1 = *__SIMD32(pSrcA)++; + /* read 4 samples at a time from sourceB */ + input2 = *__SIMD32(pSrcB)++; + + /* extract two q7_t samples to q15_t samples */ + inA1 = __SXTB16(__ROR(input1, 8)); + /* extract reminaing two samples */ + inA2 = __SXTB16(input1); + /* extract two q7_t samples to q15_t samples */ + inB1 = __SXTB16(__ROR(input2, 8)); + /* extract reminaing two samples */ + inB2 = __SXTB16(input2); + + /* multiply and accumulate two samples at a time */ + sum = __SMLAD(inA1, inB1, sum); + sum = __SMLAD(inA2, inB2, sum); + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4U; + + while (blkCnt > 0U) + { + /* C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] */ + /* Dot product and then store the results in a temporary buffer. */ + sum = __SMLAD(*pSrcA++, *pSrcB++, sum); + + /* Decrement the loop counter */ + blkCnt--; + } + +#else + + /* Run the below code for Cortex-M0 */ + + + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + + while (blkCnt > 0U) + { + /* C = A[0]* B[0] + A[1]* B[1] + A[2]* B[2] + .....+ A[blockSize-1]* B[blockSize-1] */ + /* Dot product and then store the results in a temporary buffer. */ + sum += (q31_t) ((q15_t) * pSrcA++ * *pSrcB++); + + /* Decrement the loop counter */ + blkCnt--; + } + +#endif /* #if defined (ARM_MATH_DSP) */ + + + /* Store the result in the destination buffer in 18.14 format */ + *result = sum; +} + +/** + * @} end of dot_prod group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_mult_f32.c b/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_mult_f32.c new file mode 100644 index 0000000..334e32b --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_mult_f32.c @@ -0,0 +1,162 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_mult_f32.c + * Description: Floating-point vector multiplication + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupMath + */ + +/** + * @defgroup BasicMult Vector Multiplication + * + * Element-by-element multiplication of two vectors. + * + *
+ *     pDst[n] = pSrcA[n] * pSrcB[n],   0 <= n < blockSize.
+ * 
+ * + * There are separate functions for floating-point, Q7, Q15, and Q31 data types. + */ + +/** + * @addtogroup BasicMult + * @{ + */ + +/** + * @brief Floating-point vector multiplication. + * @param[in] *pSrcA points to the first input vector + * @param[in] *pSrcB points to the second input vector + * @param[out] *pDst points to the output vector + * @param[in] blockSize number of samples in each vector + * @return none. + */ + +void arm_mult_f32( + float32_t * pSrcA, + float32_t * pSrcB, + float32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counters */ +#if defined (ARM_MATH_DSP) + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + float32_t inA1, inA2, inA3, inA4; /* temporary input variables */ + float32_t inB1, inB2, inB3, inB4; /* temporary input variables */ + float32_t out1, out2, out3, out4; /* temporary output variables */ + + /* loop Unrolling */ + blkCnt = blockSize >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C = A * B */ + /* Multiply the inputs and store the results in output buffer */ + /* read sample from sourceA */ + inA1 = *pSrcA; + /* read sample from sourceB */ + inB1 = *pSrcB; + /* read sample from sourceA */ + inA2 = *(pSrcA + 1); + /* read sample from sourceB */ + inB2 = *(pSrcB + 1); + + /* out = sourceA * sourceB */ + out1 = inA1 * inB1; + + /* read sample from sourceA */ + inA3 = *(pSrcA + 2); + /* read sample from sourceB */ + inB3 = *(pSrcB + 2); + + /* out = sourceA * sourceB */ + out2 = inA2 * inB2; + + /* read sample from sourceA */ + inA4 = *(pSrcA + 3); + + /* store result to destination buffer */ + *pDst = out1; + + /* read sample from sourceB */ + inB4 = *(pSrcB + 3); + + /* out = sourceA * sourceB */ + out3 = inA3 * inB3; + + /* store result to destination buffer */ + *(pDst + 1) = out2; + + /* out = sourceA * sourceB */ + out4 = inA4 * inB4; + /* store result to destination buffer */ + *(pDst + 2) = out3; + /* store result to destination buffer */ + *(pDst + 3) = out4; + + + /* update pointers to process next samples */ + pSrcA += 4U; + pSrcB += 4U; + pDst += 4U; + + /* Decrement the blockSize loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4U; + +#else + + /* Run the below code for Cortex-M0 */ + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_DSP) */ + + while (blkCnt > 0U) + { + /* C = A * B */ + /* Multiply the inputs and store the results in output buffer */ + *pDst++ = (*pSrcA++) * (*pSrcB++); + + /* Decrement the blockSize loop counter */ + blkCnt--; + } +} + +/** + * @} end of BasicMult group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_mult_q15.c b/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_mult_q15.c new file mode 100644 index 0000000..f3039d2 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_mult_q15.c @@ -0,0 +1,142 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_mult_q15.c + * Description: Q15 vector multiplication + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupMath + */ + +/** + * @addtogroup BasicMult + * @{ + */ + + +/** + * @brief Q15 vector multiplication + * @param[in] *pSrcA points to the first input vector + * @param[in] *pSrcB points to the second input vector + * @param[out] *pDst points to the output vector + * @param[in] blockSize number of samples in each vector + * @return none. + * + * Scaling and Overflow Behavior: + * \par + * The function uses saturating arithmetic. + * Results outside of the allowable Q15 range [0x8000 0x7FFF] will be saturated. + */ + +void arm_mult_q15( + q15_t * pSrcA, + q15_t * pSrcB, + q15_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counters */ + +#if defined (ARM_MATH_DSP) + +/* Run the below code for Cortex-M4 and Cortex-M3 */ + q31_t inA1, inA2, inB1, inB2; /* temporary input variables */ + q15_t out1, out2, out3, out4; /* temporary output variables */ + q31_t mul1, mul2, mul3, mul4; /* temporary variables */ + + /* loop Unrolling */ + blkCnt = blockSize >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* read two samples at a time from sourceA */ + inA1 = *__SIMD32(pSrcA)++; + /* read two samples at a time from sourceB */ + inB1 = *__SIMD32(pSrcB)++; + /* read two samples at a time from sourceA */ + inA2 = *__SIMD32(pSrcA)++; + /* read two samples at a time from sourceB */ + inB2 = *__SIMD32(pSrcB)++; + + /* multiply mul = sourceA * sourceB */ + mul1 = (q31_t) ((q15_t) (inA1 >> 16) * (q15_t) (inB1 >> 16)); + mul2 = (q31_t) ((q15_t) inA1 * (q15_t) inB1); + mul3 = (q31_t) ((q15_t) (inA2 >> 16) * (q15_t) (inB2 >> 16)); + mul4 = (q31_t) ((q15_t) inA2 * (q15_t) inB2); + + /* saturate result to 16 bit */ + out1 = (q15_t) __SSAT(mul1 >> 15, 16); + out2 = (q15_t) __SSAT(mul2 >> 15, 16); + out3 = (q15_t) __SSAT(mul3 >> 15, 16); + out4 = (q15_t) __SSAT(mul4 >> 15, 16); + + /* store the result */ +#ifndef ARM_MATH_BIG_ENDIAN + + *__SIMD32(pDst)++ = __PKHBT(out2, out1, 16); + *__SIMD32(pDst)++ = __PKHBT(out4, out3, 16); + +#else + + *__SIMD32(pDst)++ = __PKHBT(out2, out1, 16); + *__SIMD32(pDst)++ = __PKHBT(out4, out3, 16); + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* Decrement the blockSize loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4U; + +#else + + /* Run the below code for Cortex-M0 */ + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_DSP) */ + + + while (blkCnt > 0U) + { + /* C = A * B */ + /* Multiply the inputs and store the result in the destination buffer */ + *pDst++ = (q15_t) __SSAT((((q31_t) (*pSrcA++) * (*pSrcB++)) >> 15), 16); + + /* Decrement the blockSize loop counter */ + blkCnt--; + } +} + +/** + * @} end of BasicMult group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_mult_q31.c b/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_mult_q31.c new file mode 100644 index 0000000..93f0c73 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_mult_q31.c @@ -0,0 +1,148 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_mult_q31.c + * Description: Q31 vector multiplication + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupMath + */ + +/** + * @addtogroup BasicMult + * @{ + */ + +/** + * @brief Q31 vector multiplication. + * @param[in] *pSrcA points to the first input vector + * @param[in] *pSrcB points to the second input vector + * @param[out] *pDst points to the output vector + * @param[in] blockSize number of samples in each vector + * @return none. + * + * Scaling and Overflow Behavior: + * \par + * The function uses saturating arithmetic. + * Results outside of the allowable Q31 range[0x80000000 0x7FFFFFFF] will be saturated. + */ + +void arm_mult_q31( + q31_t * pSrcA, + q31_t * pSrcB, + q31_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counters */ + +#if defined (ARM_MATH_DSP) + +/* Run the below code for Cortex-M4 and Cortex-M3 */ + q31_t inA1, inA2, inA3, inA4; /* temporary input variables */ + q31_t inB1, inB2, inB3, inB4; /* temporary input variables */ + q31_t out1, out2, out3, out4; /* temporary output variables */ + + /* loop Unrolling */ + blkCnt = blockSize >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C = A * B */ + /* Multiply the inputs and then store the results in the destination buffer. */ + inA1 = *pSrcA++; + inA2 = *pSrcA++; + inA3 = *pSrcA++; + inA4 = *pSrcA++; + inB1 = *pSrcB++; + inB2 = *pSrcB++; + inB3 = *pSrcB++; + inB4 = *pSrcB++; + + out1 = ((q63_t) inA1 * inB1) >> 32; + out2 = ((q63_t) inA2 * inB2) >> 32; + out3 = ((q63_t) inA3 * inB3) >> 32; + out4 = ((q63_t) inA4 * inB4) >> 32; + + out1 = __SSAT(out1, 31); + out2 = __SSAT(out2, 31); + out3 = __SSAT(out3, 31); + out4 = __SSAT(out4, 31); + + *pDst++ = out1 << 1U; + *pDst++ = out2 << 1U; + *pDst++ = out3 << 1U; + *pDst++ = out4 << 1U; + + /* Decrement the blockSize loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4U; + + while (blkCnt > 0U) + { + /* C = A * B */ + /* Multiply the inputs and then store the results in the destination buffer. */ + inA1 = *pSrcA++; + inB1 = *pSrcB++; + out1 = ((q63_t) inA1 * inB1) >> 32; + out1 = __SSAT(out1, 31); + *pDst++ = out1 << 1U; + + /* Decrement the blockSize loop counter */ + blkCnt--; + } + +#else + + /* Run the below code for Cortex-M0 */ + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + + + while (blkCnt > 0U) + { + /* C = A * B */ + /* Multiply the inputs and then store the results in the destination buffer. */ + *pDst++ = + (q31_t) clip_q63_to_q31(((q63_t) (*pSrcA++) * (*pSrcB++)) >> 31); + + /* Decrement the blockSize loop counter */ + blkCnt--; + } + +#endif /* #if defined (ARM_MATH_DSP) */ +} + +/** + * @} end of BasicMult group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_mult_q7.c b/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_mult_q7.c new file mode 100644 index 0000000..e5a8f24 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_mult_q7.c @@ -0,0 +1,115 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_mult_q7.c + * Description: Q7 vector multiplication + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupMath + */ + +/** + * @addtogroup BasicMult + * @{ + */ + +/** + * @brief Q7 vector multiplication + * @param[in] *pSrcA points to the first input vector + * @param[in] *pSrcB points to the second input vector + * @param[out] *pDst points to the output vector + * @param[in] blockSize number of samples in each vector + * @return none. + * + * Scaling and Overflow Behavior: + * \par + * The function uses saturating arithmetic. + * Results outside of the allowable Q7 range [0x80 0x7F] will be saturated. + */ + +void arm_mult_q7( + q7_t * pSrcA, + q7_t * pSrcB, + q7_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counters */ + +#if defined (ARM_MATH_DSP) + +/* Run the below code for Cortex-M4 and Cortex-M3 */ + q7_t out1, out2, out3, out4; /* Temporary variables to store the product */ + + /* loop Unrolling */ + blkCnt = blockSize >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C = A * B */ + /* Multiply the inputs and store the results in temporary variables */ + out1 = (q7_t) __SSAT((((q15_t) (*pSrcA++) * (*pSrcB++)) >> 7), 8); + out2 = (q7_t) __SSAT((((q15_t) (*pSrcA++) * (*pSrcB++)) >> 7), 8); + out3 = (q7_t) __SSAT((((q15_t) (*pSrcA++) * (*pSrcB++)) >> 7), 8); + out4 = (q7_t) __SSAT((((q15_t) (*pSrcA++) * (*pSrcB++)) >> 7), 8); + + /* Store the results of 4 inputs in the destination buffer in single cycle by packing */ + *__SIMD32(pDst)++ = __PACKq7(out1, out2, out3, out4); + + /* Decrement the blockSize loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4U; + +#else + + /* Run the below code for Cortex-M0 */ + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_DSP) */ + + + while (blkCnt > 0U) + { + /* C = A * B */ + /* Multiply the inputs and store the result in the destination buffer */ + *pDst++ = (q7_t) __SSAT((((q15_t) (*pSrcA++) * (*pSrcB++)) >> 7), 8); + + /* Decrement the blockSize loop counter */ + blkCnt--; + } +} + +/** + * @} end of BasicMult group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_negate_f32.c b/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_negate_f32.c new file mode 100644 index 0000000..d463885 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_negate_f32.c @@ -0,0 +1,134 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_negate_f32.c + * Description: Negates floating-point vectors + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupMath + */ + +/** + * @defgroup negate Vector Negate + * + * Negates the elements of a vector. + * + *
+ *     pDst[n] = -pSrc[n],   0 <= n < blockSize.
+ * 
+ * + * The functions support in-place computation allowing the source and + * destination pointers to reference the same memory buffer. + * There are separate functions for floating-point, Q7, Q15, and Q31 data types. + */ + +/** + * @addtogroup negate + * @{ + */ + +/** + * @brief Negates the elements of a floating-point vector. + * @param[in] *pSrc points to the input vector + * @param[out] *pDst points to the output vector + * @param[in] blockSize number of samples in the vector + * @return none. + */ + +void arm_negate_f32( + float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counter */ + + +#if defined (ARM_MATH_DSP) + +/* Run the below code for Cortex-M4 and Cortex-M3 */ + float32_t in1, in2, in3, in4; /* temporary variables */ + + /*loop Unrolling */ + blkCnt = blockSize >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* read inputs from source */ + in1 = *pSrc; + in2 = *(pSrc + 1); + in3 = *(pSrc + 2); + in4 = *(pSrc + 3); + + /* negate the input */ + in1 = -in1; + in2 = -in2; + in3 = -in3; + in4 = -in4; + + /* store the result to destination */ + *pDst = in1; + *(pDst + 1) = in2; + *(pDst + 2) = in3; + *(pDst + 3) = in4; + + /* update pointers to process next samples */ + pSrc += 4U; + pDst += 4U; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4U; + +#else + + /* Run the below code for Cortex-M0 */ + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_DSP) */ + + while (blkCnt > 0U) + { + /* C = -A */ + /* Negate and then store the results in the destination buffer. */ + *pDst++ = -*pSrc++; + + /* Decrement the loop counter */ + blkCnt--; + } +} + +/** + * @} end of negate group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_negate_q15.c b/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_negate_q15.c new file mode 100644 index 0000000..0820f30 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_negate_q15.c @@ -0,0 +1,131 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_negate_q15.c + * Description: Negates Q15 vectors + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupMath + */ + +/** + * @addtogroup negate + * @{ + */ + +/** + * @brief Negates the elements of a Q15 vector. + * @param[in] *pSrc points to the input vector + * @param[out] *pDst points to the output vector + * @param[in] blockSize number of samples in the vector + * @return none. + * + * \par Conditions for optimum performance + * Input and output buffers should be aligned by 32-bit + * + * + * Scaling and Overflow Behavior: + * \par + * The function uses saturating arithmetic. + * The Q15 value -1 (0x8000) will be saturated to the maximum allowable positive value 0x7FFF. + */ + +void arm_negate_q15( + q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counter */ + q15_t in; + +#if defined (ARM_MATH_DSP) + +/* Run the below code for Cortex-M4 and Cortex-M3 */ + + q31_t in1, in2; /* Temporary variables */ + + + /*loop Unrolling */ + blkCnt = blockSize >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C = -A */ + /* Read two inputs at a time */ + in1 = _SIMD32_OFFSET(pSrc); + in2 = _SIMD32_OFFSET(pSrc + 2); + + /* negate two samples at a time */ + in1 = __QSUB16(0, in1); + + /* negate two samples at a time */ + in2 = __QSUB16(0, in2); + + /* store the result to destination 2 samples at a time */ + _SIMD32_OFFSET(pDst) = in1; + /* store the result to destination 2 samples at a time */ + _SIMD32_OFFSET(pDst + 2) = in2; + + + /* update pointers to process next samples */ + pSrc += 4U; + pDst += 4U; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4U; + +#else + + /* Run the below code for Cortex-M0 */ + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_DSP) */ + + while (blkCnt > 0U) + { + /* C = -A */ + /* Negate and then store the result in the destination buffer. */ + in = *pSrc++; + *pDst++ = (in == (q15_t) 0x8000) ? 0x7fff : -in; + + /* Decrement the loop counter */ + blkCnt--; + } +} + +/** + * @} end of negate group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_negate_q31.c b/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_negate_q31.c new file mode 100644 index 0000000..ab5985a --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_negate_q31.c @@ -0,0 +1,117 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_negate_q31.c + * Description: Negates Q31 vectors + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupMath + */ + +/** + * @addtogroup negate + * @{ + */ + +/** + * @brief Negates the elements of a Q31 vector. + * @param[in] *pSrc points to the input vector + * @param[out] *pDst points to the output vector + * @param[in] blockSize number of samples in the vector + * @return none. + * + * Scaling and Overflow Behavior: + * \par + * The function uses saturating arithmetic. + * The Q31 value -1 (0x80000000) will be saturated to the maximum allowable positive value 0x7FFFFFFF. + */ + +void arm_negate_q31( + q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize) +{ + q31_t in; /* Temporary variable */ + uint32_t blkCnt; /* loop counter */ + +#if defined (ARM_MATH_DSP) + +/* Run the below code for Cortex-M4 and Cortex-M3 */ + q31_t in1, in2, in3, in4; + + /*loop Unrolling */ + blkCnt = blockSize >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C = -A */ + /* Negate and then store the results in the destination buffer. */ + in1 = *pSrc++; + in2 = *pSrc++; + in3 = *pSrc++; + in4 = *pSrc++; + + *pDst++ = __QSUB(0, in1); + *pDst++ = __QSUB(0, in2); + *pDst++ = __QSUB(0, in3); + *pDst++ = __QSUB(0, in4); + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4U; + +#else + + /* Run the below code for Cortex-M0 */ + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_DSP) */ + + + while (blkCnt > 0U) + { + /* C = -A */ + /* Negate and then store the result in the destination buffer. */ + in = *pSrc++; + *pDst++ = (in == INT32_MIN) ? INT32_MAX : -in; + + /* Decrement the loop counter */ + blkCnt--; + } +} + +/** + * @} end of negate group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_negate_q7.c b/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_negate_q7.c new file mode 100644 index 0000000..b225c5e --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_negate_q7.c @@ -0,0 +1,113 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_negate_q7.c + * Description: Negates Q7 vectors + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupMath + */ + +/** + * @addtogroup negate + * @{ + */ + +/** + * @brief Negates the elements of a Q7 vector. + * @param[in] *pSrc points to the input vector + * @param[out] *pDst points to the output vector + * @param[in] blockSize number of samples in the vector + * @return none. + * + * Scaling and Overflow Behavior: + * \par + * The function uses saturating arithmetic. + * The Q7 value -1 (0x80) will be saturated to the maximum allowable positive value 0x7F. + */ + +void arm_negate_q7( + q7_t * pSrc, + q7_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counter */ + q7_t in; + +#if defined (ARM_MATH_DSP) + +/* Run the below code for Cortex-M4 and Cortex-M3 */ + q31_t input; /* Input values1-4 */ + q31_t zero = 0x00000000; + + + /*loop Unrolling */ + blkCnt = blockSize >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C = -A */ + /* Read four inputs */ + input = *__SIMD32(pSrc)++; + + /* Store the Negated results in the destination buffer in a single cycle by packing the results */ + *__SIMD32(pDst)++ = __QSUB8(zero, input); + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4U; + +#else + + /* Run the below code for Cortex-M0 */ + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_DSP) */ + + while (blkCnt > 0U) + { + /* C = -A */ + /* Negate and then store the results in the destination buffer. */ \ + in = *pSrc++; + *pDst++ = (in == (q7_t) 0x80) ? 0x7f : -in; + + /* Decrement the loop counter */ + blkCnt--; + } +} + +/** + * @} end of negate group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_offset_f32.c b/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_offset_f32.c new file mode 100644 index 0000000..c35fe8e --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_offset_f32.c @@ -0,0 +1,154 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_offset_f32.c + * Description: Floating-point vector offset + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupMath + */ + +/** + * @defgroup offset Vector Offset + * + * Adds a constant offset to each element of a vector. + * + *
+ *     pDst[n] = pSrc[n] + offset,   0 <= n < blockSize.
+ * 
+ * + * The functions support in-place computation allowing the source and + * destination pointers to reference the same memory buffer. + * There are separate functions for floating-point, Q7, Q15, and Q31 data types. + */ + +/** + * @addtogroup offset + * @{ + */ + +/** + * @brief Adds a constant offset to a floating-point vector. + * @param[in] *pSrc points to the input vector + * @param[in] offset is the offset to be added + * @param[out] *pDst points to the output vector + * @param[in] blockSize number of samples in the vector + * @return none. + */ + + +void arm_offset_f32( + float32_t * pSrc, + float32_t offset, + float32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counter */ + +#if defined (ARM_MATH_DSP) + +/* Run the below code for Cortex-M4 and Cortex-M3 */ + float32_t in1, in2, in3, in4; + + /*loop Unrolling */ + blkCnt = blockSize >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C = A + offset */ + /* Add offset and then store the results in the destination buffer. */ + /* read samples from source */ + in1 = *pSrc; + in2 = *(pSrc + 1); + + /* add offset to input */ + in1 = in1 + offset; + + /* read samples from source */ + in3 = *(pSrc + 2); + + /* add offset to input */ + in2 = in2 + offset; + + /* read samples from source */ + in4 = *(pSrc + 3); + + /* add offset to input */ + in3 = in3 + offset; + + /* store result to destination */ + *pDst = in1; + + /* add offset to input */ + in4 = in4 + offset; + + /* store result to destination */ + *(pDst + 1) = in2; + + /* store result to destination */ + *(pDst + 2) = in3; + + /* store result to destination */ + *(pDst + 3) = in4; + + /* update pointers to process next samples */ + pSrc += 4U; + pDst += 4U; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4U; + +#else + + /* Run the below code for Cortex-M0 */ + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_DSP) */ + + while (blkCnt > 0U) + { + /* C = A + offset */ + /* Add offset and then store the result in the destination buffer. */ + *pDst++ = (*pSrc++) + offset; + + /* Decrement the loop counter */ + blkCnt--; + } +} + +/** + * @} end of offset group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_offset_q15.c b/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_offset_q15.c new file mode 100644 index 0000000..4c16224 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_offset_q15.c @@ -0,0 +1,124 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_offset_q15.c + * Description: Q15 vector offset + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupMath + */ + +/** + * @addtogroup offset + * @{ + */ + +/** + * @brief Adds a constant offset to a Q15 vector. + * @param[in] *pSrc points to the input vector + * @param[in] offset is the offset to be added + * @param[out] *pDst points to the output vector + * @param[in] blockSize number of samples in the vector + * @return none. + * + * Scaling and Overflow Behavior: + * \par + * The function uses saturating arithmetic. + * Results outside of the allowable Q15 range [0x8000 0x7FFF] are saturated. + */ + +void arm_offset_q15( + q15_t * pSrc, + q15_t offset, + q15_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counter */ + +#if defined (ARM_MATH_DSP) + +/* Run the below code for Cortex-M4 and Cortex-M3 */ + q31_t offset_packed; /* Offset packed to 32 bit */ + + + /*loop Unrolling */ + blkCnt = blockSize >> 2U; + + /* Offset is packed to 32 bit in order to use SIMD32 for addition */ + offset_packed = __PKHBT(offset, offset, 16); + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C = A + offset */ + /* Add offset and then store the results in the destination buffer, 2 samples at a time. */ + *__SIMD32(pDst)++ = __QADD16(*__SIMD32(pSrc)++, offset_packed); + *__SIMD32(pDst)++ = __QADD16(*__SIMD32(pSrc)++, offset_packed); + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4U; + + while (blkCnt > 0U) + { + /* C = A + offset */ + /* Add offset and then store the results in the destination buffer. */ + *pDst++ = (q15_t) __QADD16(*pSrc++, offset); + + /* Decrement the loop counter */ + blkCnt--; + } + +#else + + /* Run the below code for Cortex-M0 */ + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + + while (blkCnt > 0U) + { + /* C = A + offset */ + /* Add offset and then store the results in the destination buffer. */ + *pDst++ = (q15_t) __SSAT(((q31_t) * pSrc++ + offset), 16); + + /* Decrement the loop counter */ + blkCnt--; + } + +#endif /* #if defined (ARM_MATH_DSP) */ + +} + +/** + * @} end of offset group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_offset_q31.c b/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_offset_q31.c new file mode 100644 index 0000000..0b0ee32 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_offset_q31.c @@ -0,0 +1,128 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_offset_q31.c + * Description: Q31 vector offset + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupMath + */ + +/** + * @addtogroup offset + * @{ + */ + +/** + * @brief Adds a constant offset to a Q31 vector. + * @param[in] *pSrc points to the input vector + * @param[in] offset is the offset to be added + * @param[out] *pDst points to the output vector + * @param[in] blockSize number of samples in the vector + * @return none. + * + * Scaling and Overflow Behavior: + * \par + * The function uses saturating arithmetic. + * Results outside of the allowable Q31 range [0x80000000 0x7FFFFFFF] are saturated. + */ + +void arm_offset_q31( + q31_t * pSrc, + q31_t offset, + q31_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counter */ + +#if defined (ARM_MATH_DSP) + +/* Run the below code for Cortex-M4 and Cortex-M3 */ + q31_t in1, in2, in3, in4; + + + /*loop Unrolling */ + blkCnt = blockSize >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C = A + offset */ + /* Add offset and then store the results in the destination buffer. */ + in1 = *pSrc++; + in2 = *pSrc++; + in3 = *pSrc++; + in4 = *pSrc++; + + *pDst++ = __QADD(in1, offset); + *pDst++ = __QADD(in2, offset); + *pDst++ = __QADD(in3, offset); + *pDst++ = __QADD(in4, offset); + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4U; + + while (blkCnt > 0U) + { + /* C = A + offset */ + /* Add offset and then store the result in the destination buffer. */ + *pDst++ = __QADD(*pSrc++, offset); + + /* Decrement the loop counter */ + blkCnt--; + } + +#else + + /* Run the below code for Cortex-M0 */ + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + + while (blkCnt > 0U) + { + /* C = A + offset */ + /* Add offset and then store the result in the destination buffer. */ + *pDst++ = (q31_t) clip_q63_to_q31((q63_t) * pSrc++ + offset); + + /* Decrement the loop counter */ + blkCnt--; + } + +#endif /* #if defined (ARM_MATH_DSP) */ + +} + +/** + * @} end of offset group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_offset_q7.c b/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_offset_q7.c new file mode 100644 index 0000000..5b98951 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_offset_q7.c @@ -0,0 +1,123 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_offset_q7.c + * Description: Q7 vector offset + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupMath + */ + +/** + * @addtogroup offset + * @{ + */ + +/** + * @brief Adds a constant offset to a Q7 vector. + * @param[in] *pSrc points to the input vector + * @param[in] offset is the offset to be added + * @param[out] *pDst points to the output vector + * @param[in] blockSize number of samples in the vector + * @return none. + * + * Scaling and Overflow Behavior: + * \par + * The function uses saturating arithmetic. + * Results outside of the allowable Q7 range [0x80 0x7F] are saturated. + */ + +void arm_offset_q7( + q7_t * pSrc, + q7_t offset, + q7_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counter */ + +#if defined (ARM_MATH_DSP) + +/* Run the below code for Cortex-M4 and Cortex-M3 */ + q31_t offset_packed; /* Offset packed to 32 bit */ + + + /*loop Unrolling */ + blkCnt = blockSize >> 2U; + + /* Offset is packed to 32 bit in order to use SIMD32 for addition */ + offset_packed = __PACKq7(offset, offset, offset, offset); + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C = A + offset */ + /* Add offset and then store the results in the destination bufferfor 4 samples at a time. */ + *__SIMD32(pDst)++ = __QADD8(*__SIMD32(pSrc)++, offset_packed); + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4U; + + while (blkCnt > 0U) + { + /* C = A + offset */ + /* Add offset and then store the result in the destination buffer. */ + *pDst++ = (q7_t) __SSAT(*pSrc++ + offset, 8); + + /* Decrement the loop counter */ + blkCnt--; + } + +#else + + /* Run the below code for Cortex-M0 */ + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + + while (blkCnt > 0U) + { + /* C = A + offset */ + /* Add offset and then store the result in the destination buffer. */ + *pDst++ = (q7_t) __SSAT((q15_t) * pSrc++ + offset, 8); + + /* Decrement the loop counter */ + blkCnt--; + } + +#endif /* #if defined (ARM_MATH_DSP) */ + +} + +/** + * @} end of offset group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_scale_f32.c b/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_scale_f32.c new file mode 100644 index 0000000..0fc3204 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_scale_f32.c @@ -0,0 +1,157 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_scale_f32.c + * Description: Multiplies a floating-point vector by a scalar + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupMath + */ + +/** + * @defgroup scale Vector Scale + * + * Multiply a vector by a scalar value. For floating-point data, the algorithm used is: + * + *
+ *     pDst[n] = pSrc[n] * scale,   0 <= n < blockSize.
+ * 
+ * + * In the fixed-point Q7, Q15, and Q31 functions, scale is represented by + * a fractional multiplication scaleFract and an arithmetic shift shift. + * The shift allows the gain of the scaling operation to exceed 1.0. + * The algorithm used with fixed-point data is: + * + *
+ *     pDst[n] = (pSrc[n] * scaleFract) << shift,   0 <= n < blockSize.
+ * 
+ * + * The overall scale factor applied to the fixed-point data is + *
+ *     scale = scaleFract * 2^shift.
+ * 
+ * + * The functions support in-place computation allowing the source and destination + * pointers to reference the same memory buffer. + */ + +/** + * @addtogroup scale + * @{ + */ + +/** + * @brief Multiplies a floating-point vector by a scalar. + * @param[in] *pSrc points to the input vector + * @param[in] scale scale factor to be applied + * @param[out] *pDst points to the output vector + * @param[in] blockSize number of samples in the vector + * @return none. + */ + + +void arm_scale_f32( + float32_t * pSrc, + float32_t scale, + float32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counter */ +#if defined (ARM_MATH_DSP) + +/* Run the below code for Cortex-M4 and Cortex-M3 */ + float32_t in1, in2, in3, in4; /* temporary variabels */ + + /*loop Unrolling */ + blkCnt = blockSize >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C = A * scale */ + /* Scale the input and then store the results in the destination buffer. */ + /* read input samples from source */ + in1 = *pSrc; + in2 = *(pSrc + 1); + + /* multiply with scaling factor */ + in1 = in1 * scale; + + /* read input sample from source */ + in3 = *(pSrc + 2); + + /* multiply with scaling factor */ + in2 = in2 * scale; + + /* read input sample from source */ + in4 = *(pSrc + 3); + + /* multiply with scaling factor */ + in3 = in3 * scale; + in4 = in4 * scale; + /* store the result to destination */ + *pDst = in1; + *(pDst + 1) = in2; + *(pDst + 2) = in3; + *(pDst + 3) = in4; + + /* update pointers to process next samples */ + pSrc += 4U; + pDst += 4U; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4U; + +#else + + /* Run the below code for Cortex-M0 */ + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_DSP) */ + + while (blkCnt > 0U) + { + /* C = A * scale */ + /* Scale the input and then store the result in the destination buffer. */ + *pDst++ = (*pSrc++) * scale; + + /* Decrement the loop counter */ + blkCnt--; + } +} + +/** + * @} end of scale group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_scale_q15.c b/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_scale_q15.c new file mode 100644 index 0000000..f1d3063 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_scale_q15.c @@ -0,0 +1,150 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_scale_q15.c + * Description: Multiplies a Q15 vector by a scalar + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupMath + */ + +/** + * @addtogroup scale + * @{ + */ + +/** + * @brief Multiplies a Q15 vector by a scalar. + * @param[in] *pSrc points to the input vector + * @param[in] scaleFract fractional portion of the scale value + * @param[in] shift number of bits to shift the result by + * @param[out] *pDst points to the output vector + * @param[in] blockSize number of samples in the vector + * @return none. + * + * Scaling and Overflow Behavior: + * \par + * The input data *pSrc and scaleFract are in 1.15 format. + * These are multiplied to yield a 2.30 intermediate result and this is shifted with saturation to 1.15 format. + */ + + +void arm_scale_q15( + q15_t * pSrc, + q15_t scaleFract, + int8_t shift, + q15_t * pDst, + uint32_t blockSize) +{ + int8_t kShift = 15 - shift; /* shift to apply after scaling */ + uint32_t blkCnt; /* loop counter */ + +#if defined (ARM_MATH_DSP) + +/* Run the below code for Cortex-M4 and Cortex-M3 */ + q15_t in1, in2, in3, in4; + q31_t inA1, inA2; /* Temporary variables */ + q31_t out1, out2, out3, out4; + + + /*loop Unrolling */ + blkCnt = blockSize >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* Reading 2 inputs from memory */ + inA1 = *__SIMD32(pSrc)++; + inA2 = *__SIMD32(pSrc)++; + + /* C = A * scale */ + /* Scale the inputs and then store the 2 results in the destination buffer + * in single cycle by packing the outputs */ + out1 = (q31_t) ((q15_t) (inA1 >> 16) * scaleFract); + out2 = (q31_t) ((q15_t) inA1 * scaleFract); + out3 = (q31_t) ((q15_t) (inA2 >> 16) * scaleFract); + out4 = (q31_t) ((q15_t) inA2 * scaleFract); + + /* apply shifting */ + out1 = out1 >> kShift; + out2 = out2 >> kShift; + out3 = out3 >> kShift; + out4 = out4 >> kShift; + + /* saturate the output */ + in1 = (q15_t) (__SSAT(out1, 16)); + in2 = (q15_t) (__SSAT(out2, 16)); + in3 = (q15_t) (__SSAT(out3, 16)); + in4 = (q15_t) (__SSAT(out4, 16)); + + /* store the result to destination */ + *__SIMD32(pDst)++ = __PKHBT(in2, in1, 16); + *__SIMD32(pDst)++ = __PKHBT(in4, in3, 16); + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4U; + + while (blkCnt > 0U) + { + /* C = A * scale */ + /* Scale the input and then store the result in the destination buffer. */ + *pDst++ = (q15_t) (__SSAT(((*pSrc++) * scaleFract) >> kShift, 16)); + + /* Decrement the loop counter */ + blkCnt--; + } + +#else + + /* Run the below code for Cortex-M0 */ + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + + while (blkCnt > 0U) + { + /* C = A * scale */ + /* Scale the input and then store the result in the destination buffer. */ + *pDst++ = (q15_t) (__SSAT(((q31_t) * pSrc++ * scaleFract) >> kShift, 16)); + + /* Decrement the loop counter */ + blkCnt--; + } + +#endif /* #if defined (ARM_MATH_DSP) */ + +} + +/** + * @} end of scale group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_scale_q31.c b/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_scale_q31.c new file mode 100644 index 0000000..dcc7bbe --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_scale_q31.c @@ -0,0 +1,227 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_scale_q31.c + * Description: Multiplies a Q31 vector by a scalar + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupMath + */ + +/** + * @addtogroup scale + * @{ + */ + +/** + * @brief Multiplies a Q31 vector by a scalar. + * @param[in] *pSrc points to the input vector + * @param[in] scaleFract fractional portion of the scale value + * @param[in] shift number of bits to shift the result by + * @param[out] *pDst points to the output vector + * @param[in] blockSize number of samples in the vector + * @return none. + * + * Scaling and Overflow Behavior: + * \par + * The input data *pSrc and scaleFract are in 1.31 format. + * These are multiplied to yield a 2.62 intermediate result and this is shifted with saturation to 1.31 format. + */ + +void arm_scale_q31( + q31_t * pSrc, + q31_t scaleFract, + int8_t shift, + q31_t * pDst, + uint32_t blockSize) +{ + int8_t kShift = shift + 1; /* Shift to apply after scaling */ + int8_t sign = (kShift & 0x80); + uint32_t blkCnt; /* loop counter */ + q31_t in, out; + +#if defined (ARM_MATH_DSP) + +/* Run the below code for Cortex-M4 and Cortex-M3 */ + + q31_t in1, in2, in3, in4; /* temporary input variables */ + q31_t out1, out2, out3, out4; /* temporary output variabels */ + + + /*loop Unrolling */ + blkCnt = blockSize >> 2U; + + if (sign == 0U) + { + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* read four inputs from source */ + in1 = *pSrc; + in2 = *(pSrc + 1); + in3 = *(pSrc + 2); + in4 = *(pSrc + 3); + + /* multiply input with scaler value */ + in1 = ((q63_t) in1 * scaleFract) >> 32; + in2 = ((q63_t) in2 * scaleFract) >> 32; + in3 = ((q63_t) in3 * scaleFract) >> 32; + in4 = ((q63_t) in4 * scaleFract) >> 32; + + /* apply shifting */ + out1 = in1 << kShift; + out2 = in2 << kShift; + + /* saturate the results. */ + if (in1 != (out1 >> kShift)) + out1 = 0x7FFFFFFF ^ (in1 >> 31); + + if (in2 != (out2 >> kShift)) + out2 = 0x7FFFFFFF ^ (in2 >> 31); + + out3 = in3 << kShift; + out4 = in4 << kShift; + + *pDst = out1; + *(pDst + 1) = out2; + + if (in3 != (out3 >> kShift)) + out3 = 0x7FFFFFFF ^ (in3 >> 31); + + if (in4 != (out4 >> kShift)) + out4 = 0x7FFFFFFF ^ (in4 >> 31); + + /* Store result destination */ + *(pDst + 2) = out3; + *(pDst + 3) = out4; + + /* Update pointers to process next sampels */ + pSrc += 4U; + pDst += 4U; + + /* Decrement the loop counter */ + blkCnt--; + } + + } + else + { + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* read four inputs from source */ + in1 = *pSrc; + in2 = *(pSrc + 1); + in3 = *(pSrc + 2); + in4 = *(pSrc + 3); + + /* multiply input with scaler value */ + in1 = ((q63_t) in1 * scaleFract) >> 32; + in2 = ((q63_t) in2 * scaleFract) >> 32; + in3 = ((q63_t) in3 * scaleFract) >> 32; + in4 = ((q63_t) in4 * scaleFract) >> 32; + + /* apply shifting */ + out1 = in1 >> -kShift; + out2 = in2 >> -kShift; + + out3 = in3 >> -kShift; + out4 = in4 >> -kShift; + + /* Store result destination */ + *pDst = out1; + *(pDst + 1) = out2; + + *(pDst + 2) = out3; + *(pDst + 3) = out4; + + /* Update pointers to process next sampels */ + pSrc += 4U; + pDst += 4U; + + /* Decrement the loop counter */ + blkCnt--; + } + } + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4U; + +#else + + /* Run the below code for Cortex-M0 */ + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_DSP) */ + + if (sign == 0) + { + while (blkCnt > 0U) + { + /* C = A * scale */ + /* Scale the input and then store the result in the destination buffer. */ + in = *pSrc++; + in = ((q63_t) in * scaleFract) >> 32; + + out = in << kShift; + + if (in != (out >> kShift)) + out = 0x7FFFFFFF ^ (in >> 31); + + *pDst++ = out; + + /* Decrement the loop counter */ + blkCnt--; + } + } + else + { + while (blkCnt > 0U) + { + /* C = A * scale */ + /* Scale the input and then store the result in the destination buffer. */ + in = *pSrc++; + in = ((q63_t) in * scaleFract) >> 32; + + out = in >> -kShift; + + *pDst++ = out; + + /* Decrement the loop counter */ + blkCnt--; + } + + } +} + +/** + * @} end of scale group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_scale_q7.c b/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_scale_q7.c new file mode 100644 index 0000000..8c90396 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_scale_q7.c @@ -0,0 +1,137 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_scale_q7.c + * Description: Multiplies a Q7 vector by a scalar + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupMath + */ + +/** + * @addtogroup scale + * @{ + */ + +/** + * @brief Multiplies a Q7 vector by a scalar. + * @param[in] *pSrc points to the input vector + * @param[in] scaleFract fractional portion of the scale value + * @param[in] shift number of bits to shift the result by + * @param[out] *pDst points to the output vector + * @param[in] blockSize number of samples in the vector + * @return none. + * + * Scaling and Overflow Behavior: + * \par + * The input data *pSrc and scaleFract are in 1.7 format. + * These are multiplied to yield a 2.14 intermediate result and this is shifted with saturation to 1.7 format. + */ + +void arm_scale_q7( + q7_t * pSrc, + q7_t scaleFract, + int8_t shift, + q7_t * pDst, + uint32_t blockSize) +{ + int8_t kShift = 7 - shift; /* shift to apply after scaling */ + uint32_t blkCnt; /* loop counter */ + +#if defined (ARM_MATH_DSP) + +/* Run the below code for Cortex-M4 and Cortex-M3 */ + q7_t in1, in2, in3, in4, out1, out2, out3, out4; /* Temporary variables to store input & output */ + + + /*loop Unrolling */ + blkCnt = blockSize >> 2U; + + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* Reading 4 inputs from memory */ + in1 = *pSrc++; + in2 = *pSrc++; + in3 = *pSrc++; + in4 = *pSrc++; + + /* C = A * scale */ + /* Scale the inputs and then store the results in the temporary variables. */ + out1 = (q7_t) (__SSAT(((in1) * scaleFract) >> kShift, 8)); + out2 = (q7_t) (__SSAT(((in2) * scaleFract) >> kShift, 8)); + out3 = (q7_t) (__SSAT(((in3) * scaleFract) >> kShift, 8)); + out4 = (q7_t) (__SSAT(((in4) * scaleFract) >> kShift, 8)); + + /* Packing the individual outputs into 32bit and storing in + * destination buffer in single write */ + *__SIMD32(pDst)++ = __PACKq7(out1, out2, out3, out4); + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4U; + + while (blkCnt > 0U) + { + /* C = A * scale */ + /* Scale the input and then store the result in the destination buffer. */ + *pDst++ = (q7_t) (__SSAT(((*pSrc++) * scaleFract) >> kShift, 8)); + + /* Decrement the loop counter */ + blkCnt--; + } + +#else + + /* Run the below code for Cortex-M0 */ + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + + while (blkCnt > 0U) + { + /* C = A * scale */ + /* Scale the input and then store the result in the destination buffer. */ + *pDst++ = (q7_t) (__SSAT((((q15_t) * pSrc++ * scaleFract) >> kShift), 8)); + + /* Decrement the loop counter */ + blkCnt--; + } + +#endif /* #if defined (ARM_MATH_DSP) */ + +} + +/** + * @} end of scale group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_shift_q15.c b/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_shift_q15.c new file mode 100644 index 0000000..9462ad7 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_shift_q15.c @@ -0,0 +1,236 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_shift_q15.c + * Description: Shifts the elements of a Q15 vector by a specified number of bits + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupMath + */ + +/** + * @addtogroup shift + * @{ + */ + +/** + * @brief Shifts the elements of a Q15 vector a specified number of bits. + * @param[in] *pSrc points to the input vector + * @param[in] shiftBits number of bits to shift. A positive value shifts left; a negative value shifts right. + * @param[out] *pDst points to the output vector + * @param[in] blockSize number of samples in the vector + * @return none. + * + * Scaling and Overflow Behavior: + * \par + * The function uses saturating arithmetic. + * Results outside of the allowable Q15 range [0x8000 0x7FFF] will be saturated. + */ + +void arm_shift_q15( + q15_t * pSrc, + int8_t shiftBits, + q15_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counter */ + uint8_t sign; /* Sign of shiftBits */ + +#if defined (ARM_MATH_DSP) + +/* Run the below code for Cortex-M4 and Cortex-M3 */ + + q15_t in1, in2; /* Temporary variables */ + + + /*loop Unrolling */ + blkCnt = blockSize >> 2U; + + /* Getting the sign of shiftBits */ + sign = (shiftBits & 0x80); + + /* If the shift value is positive then do right shift else left shift */ + if (sign == 0U) + { + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* Read 2 inputs */ + in1 = *pSrc++; + in2 = *pSrc++; + /* C = A << shiftBits */ + /* Shift the inputs and then store the results in the destination buffer. */ +#ifndef ARM_MATH_BIG_ENDIAN + + *__SIMD32(pDst)++ = __PKHBT(__SSAT((in1 << shiftBits), 16), + __SSAT((in2 << shiftBits), 16), 16); + +#else + + *__SIMD32(pDst)++ = __PKHBT(__SSAT((in2 << shiftBits), 16), + __SSAT((in1 << shiftBits), 16), 16); + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + in1 = *pSrc++; + in2 = *pSrc++; + +#ifndef ARM_MATH_BIG_ENDIAN + + *__SIMD32(pDst)++ = __PKHBT(__SSAT((in1 << shiftBits), 16), + __SSAT((in2 << shiftBits), 16), 16); + +#else + + *__SIMD32(pDst)++ = __PKHBT(__SSAT((in2 << shiftBits), 16), + __SSAT((in1 << shiftBits), 16), 16); + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4U; + + while (blkCnt > 0U) + { + /* C = A << shiftBits */ + /* Shift and then store the results in the destination buffer. */ + *pDst++ = __SSAT((*pSrc++ << shiftBits), 16); + + /* Decrement the loop counter */ + blkCnt--; + } + } + else + { + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* Read 2 inputs */ + in1 = *pSrc++; + in2 = *pSrc++; + + /* C = A >> shiftBits */ + /* Shift the inputs and then store the results in the destination buffer. */ +#ifndef ARM_MATH_BIG_ENDIAN + + *__SIMD32(pDst)++ = __PKHBT((in1 >> -shiftBits), + (in2 >> -shiftBits), 16); + +#else + + *__SIMD32(pDst)++ = __PKHBT((in2 >> -shiftBits), + (in1 >> -shiftBits), 16); + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + in1 = *pSrc++; + in2 = *pSrc++; + +#ifndef ARM_MATH_BIG_ENDIAN + + *__SIMD32(pDst)++ = __PKHBT((in1 >> -shiftBits), + (in2 >> -shiftBits), 16); + +#else + + *__SIMD32(pDst)++ = __PKHBT((in2 >> -shiftBits), + (in1 >> -shiftBits), 16); + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4U; + + while (blkCnt > 0U) + { + /* C = A >> shiftBits */ + /* Shift the inputs and then store the results in the destination buffer. */ + *pDst++ = (*pSrc++ >> -shiftBits); + + /* Decrement the loop counter */ + blkCnt--; + } + } + +#else + + /* Run the below code for Cortex-M0 */ + + /* Getting the sign of shiftBits */ + sign = (shiftBits & 0x80); + + /* If the shift value is positive then do right shift else left shift */ + if (sign == 0U) + { + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + + while (blkCnt > 0U) + { + /* C = A << shiftBits */ + /* Shift and then store the results in the destination buffer. */ + *pDst++ = __SSAT(((q31_t) * pSrc++ << shiftBits), 16); + + /* Decrement the loop counter */ + blkCnt--; + } + } + else + { + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + + while (blkCnt > 0U) + { + /* C = A >> shiftBits */ + /* Shift the inputs and then store the results in the destination buffer. */ + *pDst++ = (*pSrc++ >> -shiftBits); + + /* Decrement the loop counter */ + blkCnt--; + } + } + +#endif /* #if defined (ARM_MATH_DSP) */ + +} + +/** + * @} end of shift group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_shift_q31.c b/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_shift_q31.c new file mode 100644 index 0000000..12490a1 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_shift_q31.c @@ -0,0 +1,191 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_shift_q31.c + * Description: Shifts the elements of a Q31 vector by a specified number of bits + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupMath + */ +/** + * @defgroup shift Vector Shift + * + * Shifts the elements of a fixed-point vector by a specified number of bits. + * There are separate functions for Q7, Q15, and Q31 data types. + * The underlying algorithm used is: + * + *
+ *     pDst[n] = pSrc[n] << shift,   0 <= n < blockSize.
+ * 
+ * + * If shift is positive then the elements of the vector are shifted to the left. + * If shift is negative then the elements of the vector are shifted to the right. + * + * The functions support in-place computation allowing the source and destination + * pointers to reference the same memory buffer. + */ + +/** + * @addtogroup shift + * @{ + */ + +/** + * @brief Shifts the elements of a Q31 vector a specified number of bits. + * @param[in] *pSrc points to the input vector + * @param[in] shiftBits number of bits to shift. A positive value shifts left; a negative value shifts right. + * @param[out] *pDst points to the output vector + * @param[in] blockSize number of samples in the vector + * @return none. + * + * + * Scaling and Overflow Behavior: + * \par + * The function uses saturating arithmetic. + * Results outside of the allowable Q31 range [0x80000000 0x7FFFFFFF] will be saturated. + */ + +void arm_shift_q31( + q31_t * pSrc, + int8_t shiftBits, + q31_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counter */ + uint8_t sign = (shiftBits & 0x80); /* Sign of shiftBits */ + +#if defined (ARM_MATH_DSP) + + q31_t in1, in2, in3, in4; /* Temporary input variables */ + q31_t out1, out2, out3, out4; /* Temporary output variables */ + + /*loop Unrolling */ + blkCnt = blockSize >> 2U; + + + if (sign == 0U) + { + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C = A << shiftBits */ + /* Shift the input and then store the results in the destination buffer. */ + in1 = *pSrc; + in2 = *(pSrc + 1); + out1 = in1 << shiftBits; + in3 = *(pSrc + 2); + out2 = in2 << shiftBits; + in4 = *(pSrc + 3); + if (in1 != (out1 >> shiftBits)) + out1 = 0x7FFFFFFF ^ (in1 >> 31); + + if (in2 != (out2 >> shiftBits)) + out2 = 0x7FFFFFFF ^ (in2 >> 31); + + *pDst = out1; + out3 = in3 << shiftBits; + *(pDst + 1) = out2; + out4 = in4 << shiftBits; + + if (in3 != (out3 >> shiftBits)) + out3 = 0x7FFFFFFF ^ (in3 >> 31); + + if (in4 != (out4 >> shiftBits)) + out4 = 0x7FFFFFFF ^ (in4 >> 31); + + *(pDst + 2) = out3; + *(pDst + 3) = out4; + + /* Update destination pointer to process next sampels */ + pSrc += 4U; + pDst += 4U; + + /* Decrement the loop counter */ + blkCnt--; + } + } + else + { + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C = A >> shiftBits */ + /* Shift the input and then store the results in the destination buffer. */ + in1 = *pSrc; + in2 = *(pSrc + 1); + in3 = *(pSrc + 2); + in4 = *(pSrc + 3); + + *pDst = (in1 >> -shiftBits); + *(pDst + 1) = (in2 >> -shiftBits); + *(pDst + 2) = (in3 >> -shiftBits); + *(pDst + 3) = (in4 >> -shiftBits); + + + pSrc += 4U; + pDst += 4U; + + blkCnt--; + } + + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4U; + +#else + + /* Run the below code for Cortex-M0 */ + + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_DSP) */ + + + while (blkCnt > 0U) + { + /* C = A (>> or <<) shiftBits */ + /* Shift the input and then store the result in the destination buffer. */ + *pDst++ = (sign == 0U) ? clip_q63_to_q31((q63_t) * pSrc++ << shiftBits) : + (*pSrc++ >> -shiftBits); + + /* Decrement the loop counter */ + blkCnt--; + } + + +} + +/** + * @} end of shift group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_shift_q7.c b/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_shift_q7.c new file mode 100644 index 0000000..6f40431 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_shift_q7.c @@ -0,0 +1,208 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_shift_q7.c + * Description: Processing function for the Q7 Shifting + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupMath + */ + +/** + * @addtogroup shift + * @{ + */ + + +/** + * @brief Shifts the elements of a Q7 vector a specified number of bits. + * @param[in] *pSrc points to the input vector + * @param[in] shiftBits number of bits to shift. A positive value shifts left; a negative value shifts right. + * @param[out] *pDst points to the output vector + * @param[in] blockSize number of samples in the vector + * @return none. + * + * \par Conditions for optimum performance + * Input and output buffers should be aligned by 32-bit + * + * + * Scaling and Overflow Behavior: + * \par + * The function uses saturating arithmetic. + * Results outside of the allowable Q7 range [0x8 0x7F] will be saturated. + */ + +void arm_shift_q7( + q7_t * pSrc, + int8_t shiftBits, + q7_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counter */ + uint8_t sign; /* Sign of shiftBits */ + +#if defined (ARM_MATH_DSP) + +/* Run the below code for Cortex-M4 and Cortex-M3 */ + q7_t in1; /* Input value1 */ + q7_t in2; /* Input value2 */ + q7_t in3; /* Input value3 */ + q7_t in4; /* Input value4 */ + + + /*loop Unrolling */ + blkCnt = blockSize >> 2U; + + /* Getting the sign of shiftBits */ + sign = (shiftBits & 0x80); + + /* If the shift value is positive then do right shift else left shift */ + if (sign == 0U) + { + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C = A << shiftBits */ + /* Read 4 inputs */ + in1 = *pSrc; + in2 = *(pSrc + 1); + in3 = *(pSrc + 2); + in4 = *(pSrc + 3); + + /* Store the Shifted result in the destination buffer in single cycle by packing the outputs */ + *__SIMD32(pDst)++ = __PACKq7(__SSAT((in1 << shiftBits), 8), + __SSAT((in2 << shiftBits), 8), + __SSAT((in3 << shiftBits), 8), + __SSAT((in4 << shiftBits), 8)); + /* Update source pointer to process next sampels */ + pSrc += 4U; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4U; + + while (blkCnt > 0U) + { + /* C = A << shiftBits */ + /* Shift the input and then store the result in the destination buffer. */ + *pDst++ = (q7_t) __SSAT((*pSrc++ << shiftBits), 8); + + /* Decrement the loop counter */ + blkCnt--; + } + } + else + { + shiftBits = -shiftBits; + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C = A >> shiftBits */ + /* Read 4 inputs */ + in1 = *pSrc; + in2 = *(pSrc + 1); + in3 = *(pSrc + 2); + in4 = *(pSrc + 3); + + /* Store the Shifted result in the destination buffer in single cycle by packing the outputs */ + *__SIMD32(pDst)++ = __PACKq7((in1 >> shiftBits), (in2 >> shiftBits), + (in3 >> shiftBits), (in4 >> shiftBits)); + + + pSrc += 4U; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4U; + + while (blkCnt > 0U) + { + /* C = A >> shiftBits */ + /* Shift the input and then store the result in the destination buffer. */ + in1 = *pSrc++; + *pDst++ = (in1 >> shiftBits); + + /* Decrement the loop counter */ + blkCnt--; + } + } + +#else + + /* Run the below code for Cortex-M0 */ + + /* Getting the sign of shiftBits */ + sign = (shiftBits & 0x80); + + /* If the shift value is positive then do right shift else left shift */ + if (sign == 0U) + { + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + + while (blkCnt > 0U) + { + /* C = A << shiftBits */ + /* Shift the input and then store the result in the destination buffer. */ + *pDst++ = (q7_t) __SSAT(((q15_t) * pSrc++ << shiftBits), 8); + + /* Decrement the loop counter */ + blkCnt--; + } + } + else + { + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + + while (blkCnt > 0U) + { + /* C = A >> shiftBits */ + /* Shift the input and then store the result in the destination buffer. */ + *pDst++ = (*pSrc++ >> -shiftBits); + + /* Decrement the loop counter */ + blkCnt--; + } + } + +#endif /* #if defined (ARM_MATH_DSP) */ +} + +/** + * @} end of shift group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_sub_f32.c b/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_sub_f32.c new file mode 100644 index 0000000..6d56fa7 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_sub_f32.c @@ -0,0 +1,138 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_sub_f32.c + * Description: Floating-point vector subtraction. + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupMath + */ + +/** + * @defgroup BasicSub Vector Subtraction + * + * Element-by-element subtraction of two vectors. + * + *
+ *     pDst[n] = pSrcA[n] - pSrcB[n],   0 <= n < blockSize.
+ * 
+ * + * There are separate functions for floating-point, Q7, Q15, and Q31 data types. + */ + +/** + * @addtogroup BasicSub + * @{ + */ + + +/** + * @brief Floating-point vector subtraction. + * @param[in] *pSrcA points to the first input vector + * @param[in] *pSrcB points to the second input vector + * @param[out] *pDst points to the output vector + * @param[in] blockSize number of samples in each vector + * @return none. + */ + +void arm_sub_f32( + float32_t * pSrcA, + float32_t * pSrcB, + float32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counter */ + +#if defined (ARM_MATH_DSP) + +/* Run the below code for Cortex-M4 and Cortex-M3 */ + float32_t inA1, inA2, inA3, inA4; /* temporary variables */ + float32_t inB1, inB2, inB3, inB4; /* temporary variables */ + + /*loop Unrolling */ + blkCnt = blockSize >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C = A - B */ + /* Subtract and then store the results in the destination buffer. */ + /* Read 4 input samples from sourceA and sourceB */ + inA1 = *pSrcA; + inB1 = *pSrcB; + inA2 = *(pSrcA + 1); + inB2 = *(pSrcB + 1); + inA3 = *(pSrcA + 2); + inB3 = *(pSrcB + 2); + inA4 = *(pSrcA + 3); + inB4 = *(pSrcB + 3); + + /* dst = srcA - srcB */ + /* subtract and store the result */ + *pDst = inA1 - inB1; + *(pDst + 1) = inA2 - inB2; + *(pDst + 2) = inA3 - inB3; + *(pDst + 3) = inA4 - inB4; + + + /* Update pointers to process next sampels */ + pSrcA += 4U; + pSrcB += 4U; + pDst += 4U; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4U; + +#else + + /* Run the below code for Cortex-M0 */ + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_DSP) */ + + while (blkCnt > 0U) + { + /* C = A - B */ + /* Subtract and then store the results in the destination buffer. */ + *pDst++ = (*pSrcA++) - (*pSrcB++); + + /* Decrement the loop counter */ + blkCnt--; + } +} + +/** + * @} end of BasicSub group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_sub_q15.c b/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_sub_q15.c new file mode 100644 index 0000000..643f933 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_sub_q15.c @@ -0,0 +1,128 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_sub_q15.c + * Description: Q15 vector subtraction + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupMath + */ + +/** + * @addtogroup BasicSub + * @{ + */ + +/** + * @brief Q15 vector subtraction. + * @param[in] *pSrcA points to the first input vector + * @param[in] *pSrcB points to the second input vector + * @param[out] *pDst points to the output vector + * @param[in] blockSize number of samples in each vector + * @return none. + * + * Scaling and Overflow Behavior: + * \par + * The function uses saturating arithmetic. + * Results outside of the allowable Q15 range [0x8000 0x7FFF] will be saturated. + */ + +void arm_sub_q15( + q15_t * pSrcA, + q15_t * pSrcB, + q15_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counter */ + + +#if defined (ARM_MATH_DSP) + +/* Run the below code for Cortex-M4 and Cortex-M3 */ + q31_t inA1, inA2; + q31_t inB1, inB2; + + /*loop Unrolling */ + blkCnt = blockSize >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C = A - B */ + /* Subtract and then store the results in the destination buffer two samples at a time. */ + inA1 = *__SIMD32(pSrcA)++; + inA2 = *__SIMD32(pSrcA)++; + inB1 = *__SIMD32(pSrcB)++; + inB2 = *__SIMD32(pSrcB)++; + + *__SIMD32(pDst)++ = __QSUB16(inA1, inB1); + *__SIMD32(pDst)++ = __QSUB16(inA2, inB2); + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4U; + + while (blkCnt > 0U) + { + /* C = A - B */ + /* Subtract and then store the result in the destination buffer. */ + *pDst++ = (q15_t) __QSUB16(*pSrcA++, *pSrcB++); + + /* Decrement the loop counter */ + blkCnt--; + } + +#else + + /* Run the below code for Cortex-M0 */ + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + + while (blkCnt > 0U) + { + /* C = A - B */ + /* Subtract and then store the result in the destination buffer. */ + *pDst++ = (q15_t) __SSAT(((q31_t) * pSrcA++ - *pSrcB++), 16); + + /* Decrement the loop counter */ + blkCnt--; + } + +#endif /* #if defined (ARM_MATH_DSP) */ + + +} + +/** + * @} end of BasicSub group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_sub_q31.c b/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_sub_q31.c new file mode 100644 index 0000000..1c83aae --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_sub_q31.c @@ -0,0 +1,134 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_sub_q31.c + * Description: Q31 vector subtraction + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupMath + */ + +/** + * @addtogroup BasicSub + * @{ + */ + +/** + * @brief Q31 vector subtraction. + * @param[in] *pSrcA points to the first input vector + * @param[in] *pSrcB points to the second input vector + * @param[out] *pDst points to the output vector + * @param[in] blockSize number of samples in each vector + * @return none. + * + * Scaling and Overflow Behavior: + * \par + * The function uses saturating arithmetic. + * Results outside of the allowable Q31 range [0x80000000 0x7FFFFFFF] will be saturated. + */ + +void arm_sub_q31( + q31_t * pSrcA, + q31_t * pSrcB, + q31_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counter */ + + +#if defined (ARM_MATH_DSP) + +/* Run the below code for Cortex-M4 and Cortex-M3 */ + q31_t inA1, inA2, inA3, inA4; + q31_t inB1, inB2, inB3, inB4; + + /*loop Unrolling */ + blkCnt = blockSize >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C = A - B */ + /* Subtract and then store the results in the destination buffer. */ + inA1 = *pSrcA++; + inA2 = *pSrcA++; + inB1 = *pSrcB++; + inB2 = *pSrcB++; + + inA3 = *pSrcA++; + inA4 = *pSrcA++; + inB3 = *pSrcB++; + inB4 = *pSrcB++; + + *pDst++ = __QSUB(inA1, inB1); + *pDst++ = __QSUB(inA2, inB2); + *pDst++ = __QSUB(inA3, inB3); + *pDst++ = __QSUB(inA4, inB4); + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4U; + + while (blkCnt > 0U) + { + /* C = A - B */ + /* Subtract and then store the result in the destination buffer. */ + *pDst++ = __QSUB(*pSrcA++, *pSrcB++); + + /* Decrement the loop counter */ + blkCnt--; + } + +#else + + /* Run the below code for Cortex-M0 */ + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + + while (blkCnt > 0U) + { + /* C = A - B */ + /* Subtract and then store the result in the destination buffer. */ + *pDst++ = (q31_t) clip_q63_to_q31((q63_t) * pSrcA++ - *pSrcB++); + + /* Decrement the loop counter */ + blkCnt--; + } + +#endif /* #if defined (ARM_MATH_DSP) */ + +} + +/** + * @} end of BasicSub group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_sub_q7.c b/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_sub_q7.c new file mode 100644 index 0000000..8f8e111 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_sub_q7.c @@ -0,0 +1,119 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_sub_q7.c + * Description: Q7 vector subtraction + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupMath + */ + +/** + * @addtogroup BasicSub + * @{ + */ + +/** + * @brief Q7 vector subtraction. + * @param[in] *pSrcA points to the first input vector + * @param[in] *pSrcB points to the second input vector + * @param[out] *pDst points to the output vector + * @param[in] blockSize number of samples in each vector + * @return none. + * + * Scaling and Overflow Behavior: + * \par + * The function uses saturating arithmetic. + * Results outside of the allowable Q7 range [0x80 0x7F] will be saturated. + */ + +void arm_sub_q7( + q7_t * pSrcA, + q7_t * pSrcB, + q7_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counter */ + +#if defined (ARM_MATH_DSP) + +/* Run the below code for Cortex-M4 and Cortex-M3 */ + + /*loop Unrolling */ + blkCnt = blockSize >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C = A - B */ + /* Subtract and then store the results in the destination buffer 4 samples at a time. */ + *__SIMD32(pDst)++ = __QSUB8(*__SIMD32(pSrcA)++, *__SIMD32(pSrcB)++); + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4U; + + while (blkCnt > 0U) + { + /* C = A - B */ + /* Subtract and then store the result in the destination buffer. */ + *pDst++ = __SSAT(*pSrcA++ - *pSrcB++, 8); + + /* Decrement the loop counter */ + blkCnt--; + } + +#else + + /* Run the below code for Cortex-M0 */ + + /* Initialize blkCnt with number of samples */ + blkCnt = blockSize; + + while (blkCnt > 0U) + { + /* C = A - B */ + /* Subtract and then store the result in the destination buffer. */ + *pDst++ = (q7_t) __SSAT((q15_t) * pSrcA++ - *pSrcB++, 8); + + /* Decrement the loop counter */ + blkCnt--; + } + +#endif /* #if defined (ARM_MATH_DSP) */ + + +} + +/** + * @} end of BasicSub group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/CommonTables/arm_common_tables.c b/cdc-dials/Drivers/CMSIS/DSP/Source/CommonTables/arm_common_tables.c new file mode 100644 index 0000000..bb5c15a --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/CommonTables/arm_common_tables.c @@ -0,0 +1,22176 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_common_tables.c + * Description: common tables like fft twiddle factors, Bitreverse, reciprocal etc + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include "arm_common_tables.h" + +/** + * @ingroup ComplexFFT + */ + +/** + * @addtogroup CFFT_CIFFT Complex FFT Tables + * @{ + */ + +/** +* \par +* Pseudo code for Generation of Bit reversal Table is +* \par +*
for(l=1;l <= N/4;l++)
+* {
+*   for(i=0;i> 1;
+*  } 
+* \par +* where N = 4096 logN2 = 12 +* \par +* N is the maximum FFT Size supported +*/ + +/* +* @brief Table for bit reversal process +*/ +const uint16_t armBitRevTable[1024] = { + 0x400, 0x200, 0x600, 0x100, 0x500, 0x300, 0x700, 0x80, 0x480, 0x280, + 0x680, 0x180, 0x580, 0x380, 0x780, 0x40, 0x440, 0x240, 0x640, 0x140, + 0x540, 0x340, 0x740, 0xc0, 0x4c0, 0x2c0, 0x6c0, 0x1c0, 0x5c0, 0x3c0, + 0x7c0, 0x20, 0x420, 0x220, 0x620, 0x120, 0x520, 0x320, 0x720, 0xa0, + 0x4a0, 0x2a0, 0x6a0, 0x1a0, 0x5a0, 0x3a0, 0x7a0, 0x60, 0x460, 0x260, + 0x660, 0x160, 0x560, 0x360, 0x760, 0xe0, 0x4e0, 0x2e0, 0x6e0, 0x1e0, + 0x5e0, 0x3e0, 0x7e0, 0x10, 0x410, 0x210, 0x610, 0x110, 0x510, 0x310, + 0x710, 0x90, 0x490, 0x290, 0x690, 0x190, 0x590, 0x390, 0x790, 0x50, + 0x450, 0x250, 0x650, 0x150, 0x550, 0x350, 0x750, 0xd0, 0x4d0, 0x2d0, + 0x6d0, 0x1d0, 0x5d0, 0x3d0, 0x7d0, 0x30, 0x430, 0x230, 0x630, 0x130, + 0x530, 0x330, 0x730, 0xb0, 0x4b0, 0x2b0, 0x6b0, 0x1b0, 0x5b0, 0x3b0, + 0x7b0, 0x70, 0x470, 0x270, 0x670, 0x170, 0x570, 0x370, 0x770, 0xf0, + 0x4f0, 0x2f0, 0x6f0, 0x1f0, 0x5f0, 0x3f0, 0x7f0, 0x8, 0x408, 0x208, + 0x608, 0x108, 0x508, 0x308, 0x708, 0x88, 0x488, 0x288, 0x688, 0x188, + 0x588, 0x388, 0x788, 0x48, 0x448, 0x248, 0x648, 0x148, 0x548, 0x348, + 0x748, 0xc8, 0x4c8, 0x2c8, 0x6c8, 0x1c8, 0x5c8, 0x3c8, 0x7c8, 0x28, + 0x428, 0x228, 0x628, 0x128, 0x528, 0x328, 0x728, 0xa8, 0x4a8, 0x2a8, + 0x6a8, 0x1a8, 0x5a8, 0x3a8, 0x7a8, 0x68, 0x468, 0x268, 0x668, 0x168, + 0x568, 0x368, 0x768, 0xe8, 0x4e8, 0x2e8, 0x6e8, 0x1e8, 0x5e8, 0x3e8, + 0x7e8, 0x18, 0x418, 0x218, 0x618, 0x118, 0x518, 0x318, 0x718, 0x98, + 0x498, 0x298, 0x698, 0x198, 0x598, 0x398, 0x798, 0x58, 0x458, 0x258, + 0x658, 0x158, 0x558, 0x358, 0x758, 0xd8, 0x4d8, 0x2d8, 0x6d8, 0x1d8, + 0x5d8, 0x3d8, 0x7d8, 0x38, 0x438, 0x238, 0x638, 0x138, 0x538, 0x338, + 0x738, 0xb8, 0x4b8, 0x2b8, 0x6b8, 0x1b8, 0x5b8, 0x3b8, 0x7b8, 0x78, + 0x478, 0x278, 0x678, 0x178, 0x578, 0x378, 0x778, 0xf8, 0x4f8, 0x2f8, + 0x6f8, 0x1f8, 0x5f8, 0x3f8, 0x7f8, 0x4, 0x404, 0x204, 0x604, 0x104, + 0x504, 0x304, 0x704, 0x84, 0x484, 0x284, 0x684, 0x184, 0x584, 0x384, + 0x784, 0x44, 0x444, 0x244, 0x644, 0x144, 0x544, 0x344, 0x744, 0xc4, + 0x4c4, 0x2c4, 0x6c4, 0x1c4, 0x5c4, 0x3c4, 0x7c4, 0x24, 0x424, 0x224, + 0x624, 0x124, 0x524, 0x324, 0x724, 0xa4, 0x4a4, 0x2a4, 0x6a4, 0x1a4, + 0x5a4, 0x3a4, 0x7a4, 0x64, 0x464, 0x264, 0x664, 0x164, 0x564, 0x364, + 0x764, 0xe4, 0x4e4, 0x2e4, 0x6e4, 0x1e4, 0x5e4, 0x3e4, 0x7e4, 0x14, + 0x414, 0x214, 0x614, 0x114, 0x514, 0x314, 0x714, 0x94, 0x494, 0x294, + 0x694, 0x194, 0x594, 0x394, 0x794, 0x54, 0x454, 0x254, 0x654, 0x154, + 0x554, 0x354, 0x754, 0xd4, 0x4d4, 0x2d4, 0x6d4, 0x1d4, 0x5d4, 0x3d4, + 0x7d4, 0x34, 0x434, 0x234, 0x634, 0x134, 0x534, 0x334, 0x734, 0xb4, + 0x4b4, 0x2b4, 0x6b4, 0x1b4, 0x5b4, 0x3b4, 0x7b4, 0x74, 0x474, 0x274, + 0x674, 0x174, 0x574, 0x374, 0x774, 0xf4, 0x4f4, 0x2f4, 0x6f4, 0x1f4, + 0x5f4, 0x3f4, 0x7f4, 0xc, 0x40c, 0x20c, 0x60c, 0x10c, 0x50c, 0x30c, + 0x70c, 0x8c, 0x48c, 0x28c, 0x68c, 0x18c, 0x58c, 0x38c, 0x78c, 0x4c, + 0x44c, 0x24c, 0x64c, 0x14c, 0x54c, 0x34c, 0x74c, 0xcc, 0x4cc, 0x2cc, + 0x6cc, 0x1cc, 0x5cc, 0x3cc, 0x7cc, 0x2c, 0x42c, 0x22c, 0x62c, 0x12c, + 0x52c, 0x32c, 0x72c, 0xac, 0x4ac, 0x2ac, 0x6ac, 0x1ac, 0x5ac, 0x3ac, + 0x7ac, 0x6c, 0x46c, 0x26c, 0x66c, 0x16c, 0x56c, 0x36c, 0x76c, 0xec, + 0x4ec, 0x2ec, 0x6ec, 0x1ec, 0x5ec, 0x3ec, 0x7ec, 0x1c, 0x41c, 0x21c, + 0x61c, 0x11c, 0x51c, 0x31c, 0x71c, 0x9c, 0x49c, 0x29c, 0x69c, 0x19c, + 0x59c, 0x39c, 0x79c, 0x5c, 0x45c, 0x25c, 0x65c, 0x15c, 0x55c, 0x35c, + 0x75c, 0xdc, 0x4dc, 0x2dc, 0x6dc, 0x1dc, 0x5dc, 0x3dc, 0x7dc, 0x3c, + 0x43c, 0x23c, 0x63c, 0x13c, 0x53c, 0x33c, 0x73c, 0xbc, 0x4bc, 0x2bc, + 0x6bc, 0x1bc, 0x5bc, 0x3bc, 0x7bc, 0x7c, 0x47c, 0x27c, 0x67c, 0x17c, + 0x57c, 0x37c, 0x77c, 0xfc, 0x4fc, 0x2fc, 0x6fc, 0x1fc, 0x5fc, 0x3fc, + 0x7fc, 0x2, 0x402, 0x202, 0x602, 0x102, 0x502, 0x302, 0x702, 0x82, + 0x482, 0x282, 0x682, 0x182, 0x582, 0x382, 0x782, 0x42, 0x442, 0x242, + 0x642, 0x142, 0x542, 0x342, 0x742, 0xc2, 0x4c2, 0x2c2, 0x6c2, 0x1c2, + 0x5c2, 0x3c2, 0x7c2, 0x22, 0x422, 0x222, 0x622, 0x122, 0x522, 0x322, + 0x722, 0xa2, 0x4a2, 0x2a2, 0x6a2, 0x1a2, 0x5a2, 0x3a2, 0x7a2, 0x62, + 0x462, 0x262, 0x662, 0x162, 0x562, 0x362, 0x762, 0xe2, 0x4e2, 0x2e2, + 0x6e2, 0x1e2, 0x5e2, 0x3e2, 0x7e2, 0x12, 0x412, 0x212, 0x612, 0x112, + 0x512, 0x312, 0x712, 0x92, 0x492, 0x292, 0x692, 0x192, 0x592, 0x392, + 0x792, 0x52, 0x452, 0x252, 0x652, 0x152, 0x552, 0x352, 0x752, 0xd2, + 0x4d2, 0x2d2, 0x6d2, 0x1d2, 0x5d2, 0x3d2, 0x7d2, 0x32, 0x432, 0x232, + 0x632, 0x132, 0x532, 0x332, 0x732, 0xb2, 0x4b2, 0x2b2, 0x6b2, 0x1b2, + 0x5b2, 0x3b2, 0x7b2, 0x72, 0x472, 0x272, 0x672, 0x172, 0x572, 0x372, + 0x772, 0xf2, 0x4f2, 0x2f2, 0x6f2, 0x1f2, 0x5f2, 0x3f2, 0x7f2, 0xa, + 0x40a, 0x20a, 0x60a, 0x10a, 0x50a, 0x30a, 0x70a, 0x8a, 0x48a, 0x28a, + 0x68a, 0x18a, 0x58a, 0x38a, 0x78a, 0x4a, 0x44a, 0x24a, 0x64a, 0x14a, + 0x54a, 0x34a, 0x74a, 0xca, 0x4ca, 0x2ca, 0x6ca, 0x1ca, 0x5ca, 0x3ca, + 0x7ca, 0x2a, 0x42a, 0x22a, 0x62a, 0x12a, 0x52a, 0x32a, 0x72a, 0xaa, + 0x4aa, 0x2aa, 0x6aa, 0x1aa, 0x5aa, 0x3aa, 0x7aa, 0x6a, 0x46a, 0x26a, + 0x66a, 0x16a, 0x56a, 0x36a, 0x76a, 0xea, 0x4ea, 0x2ea, 0x6ea, 0x1ea, + 0x5ea, 0x3ea, 0x7ea, 0x1a, 0x41a, 0x21a, 0x61a, 0x11a, 0x51a, 0x31a, + 0x71a, 0x9a, 0x49a, 0x29a, 0x69a, 0x19a, 0x59a, 0x39a, 0x79a, 0x5a, + 0x45a, 0x25a, 0x65a, 0x15a, 0x55a, 0x35a, 0x75a, 0xda, 0x4da, 0x2da, + 0x6da, 0x1da, 0x5da, 0x3da, 0x7da, 0x3a, 0x43a, 0x23a, 0x63a, 0x13a, + 0x53a, 0x33a, 0x73a, 0xba, 0x4ba, 0x2ba, 0x6ba, 0x1ba, 0x5ba, 0x3ba, + 0x7ba, 0x7a, 0x47a, 0x27a, 0x67a, 0x17a, 0x57a, 0x37a, 0x77a, 0xfa, + 0x4fa, 0x2fa, 0x6fa, 0x1fa, 0x5fa, 0x3fa, 0x7fa, 0x6, 0x406, 0x206, + 0x606, 0x106, 0x506, 0x306, 0x706, 0x86, 0x486, 0x286, 0x686, 0x186, + 0x586, 0x386, 0x786, 0x46, 0x446, 0x246, 0x646, 0x146, 0x546, 0x346, + 0x746, 0xc6, 0x4c6, 0x2c6, 0x6c6, 0x1c6, 0x5c6, 0x3c6, 0x7c6, 0x26, + 0x426, 0x226, 0x626, 0x126, 0x526, 0x326, 0x726, 0xa6, 0x4a6, 0x2a6, + 0x6a6, 0x1a6, 0x5a6, 0x3a6, 0x7a6, 0x66, 0x466, 0x266, 0x666, 0x166, + 0x566, 0x366, 0x766, 0xe6, 0x4e6, 0x2e6, 0x6e6, 0x1e6, 0x5e6, 0x3e6, + 0x7e6, 0x16, 0x416, 0x216, 0x616, 0x116, 0x516, 0x316, 0x716, 0x96, + 0x496, 0x296, 0x696, 0x196, 0x596, 0x396, 0x796, 0x56, 0x456, 0x256, + 0x656, 0x156, 0x556, 0x356, 0x756, 0xd6, 0x4d6, 0x2d6, 0x6d6, 0x1d6, + 0x5d6, 0x3d6, 0x7d6, 0x36, 0x436, 0x236, 0x636, 0x136, 0x536, 0x336, + 0x736, 0xb6, 0x4b6, 0x2b6, 0x6b6, 0x1b6, 0x5b6, 0x3b6, 0x7b6, 0x76, + 0x476, 0x276, 0x676, 0x176, 0x576, 0x376, 0x776, 0xf6, 0x4f6, 0x2f6, + 0x6f6, 0x1f6, 0x5f6, 0x3f6, 0x7f6, 0xe, 0x40e, 0x20e, 0x60e, 0x10e, + 0x50e, 0x30e, 0x70e, 0x8e, 0x48e, 0x28e, 0x68e, 0x18e, 0x58e, 0x38e, + 0x78e, 0x4e, 0x44e, 0x24e, 0x64e, 0x14e, 0x54e, 0x34e, 0x74e, 0xce, + 0x4ce, 0x2ce, 0x6ce, 0x1ce, 0x5ce, 0x3ce, 0x7ce, 0x2e, 0x42e, 0x22e, + 0x62e, 0x12e, 0x52e, 0x32e, 0x72e, 0xae, 0x4ae, 0x2ae, 0x6ae, 0x1ae, + 0x5ae, 0x3ae, 0x7ae, 0x6e, 0x46e, 0x26e, 0x66e, 0x16e, 0x56e, 0x36e, + 0x76e, 0xee, 0x4ee, 0x2ee, 0x6ee, 0x1ee, 0x5ee, 0x3ee, 0x7ee, 0x1e, + 0x41e, 0x21e, 0x61e, 0x11e, 0x51e, 0x31e, 0x71e, 0x9e, 0x49e, 0x29e, + 0x69e, 0x19e, 0x59e, 0x39e, 0x79e, 0x5e, 0x45e, 0x25e, 0x65e, 0x15e, + 0x55e, 0x35e, 0x75e, 0xde, 0x4de, 0x2de, 0x6de, 0x1de, 0x5de, 0x3de, + 0x7de, 0x3e, 0x43e, 0x23e, 0x63e, 0x13e, 0x53e, 0x33e, 0x73e, 0xbe, + 0x4be, 0x2be, 0x6be, 0x1be, 0x5be, 0x3be, 0x7be, 0x7e, 0x47e, 0x27e, + 0x67e, 0x17e, 0x57e, 0x37e, 0x77e, 0xfe, 0x4fe, 0x2fe, 0x6fe, 0x1fe, + 0x5fe, 0x3fe, 0x7fe, 0x1 +}; + + +/* +* @brief Floating-point Twiddle factors Table Generation +*/ + +/** +* \par +* Example code for Floating-point Twiddle factors Generation: +* \par +*
for(i = 0; i< N/; i++)
+* {
+*	twiddleCoef[2*i]= cos(i * 2*PI/(float)N);
+*	twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);
+* } 
+* \par +* where N = 16 and PI = 3.14159265358979 +* \par +* Cos and Sin values are in interleaved fashion +* +*/ +const float32_t twiddleCoef_16[32] = { + 1.000000000f, 0.000000000f, + 0.923879533f, 0.382683432f, + 0.707106781f, 0.707106781f, + 0.382683432f, 0.923879533f, + 0.000000000f, 1.000000000f, + -0.382683432f, 0.923879533f, + -0.707106781f, 0.707106781f, + -0.923879533f, 0.382683432f, + -1.000000000f, 0.000000000f, + -0.923879533f, -0.382683432f, + -0.707106781f, -0.707106781f, + -0.382683432f, -0.923879533f, + -0.000000000f, -1.000000000f, + 0.382683432f, -0.923879533f, + 0.707106781f, -0.707106781f, + 0.923879533f, -0.382683432f +}; + +/** +* \par +* Example code for Floating-point Twiddle factors Generation: +* \par +*
for(i = 0; i< N/; i++)
+* {
+*	twiddleCoef[2*i]= cos(i * 2*PI/(float)N);
+*	twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);
+* } 
+* \par +* where N = 32 and PI = 3.14159265358979 +* \par +* Cos and Sin values are in interleaved fashion +* +*/ +const float32_t twiddleCoef_32[64] = { + 1.000000000f, 0.000000000f, + 0.980785280f, 0.195090322f, + 0.923879533f, 0.382683432f, + 0.831469612f, 0.555570233f, + 0.707106781f, 0.707106781f, + 0.555570233f, 0.831469612f, + 0.382683432f, 0.923879533f, + 0.195090322f, 0.980785280f, + 0.000000000f, 1.000000000f, + -0.195090322f, 0.980785280f, + -0.382683432f, 0.923879533f, + -0.555570233f, 0.831469612f, + -0.707106781f, 0.707106781f, + -0.831469612f, 0.555570233f, + -0.923879533f, 0.382683432f, + -0.980785280f, 0.195090322f, + -1.000000000f, 0.000000000f, + -0.980785280f, -0.195090322f, + -0.923879533f, -0.382683432f, + -0.831469612f, -0.555570233f, + -0.707106781f, -0.707106781f, + -0.555570233f, -0.831469612f, + -0.382683432f, -0.923879533f, + -0.195090322f, -0.980785280f, + -0.000000000f, -1.000000000f, + 0.195090322f, -0.980785280f, + 0.382683432f, -0.923879533f, + 0.555570233f, -0.831469612f, + 0.707106781f, -0.707106781f, + 0.831469612f, -0.555570233f, + 0.923879533f, -0.382683432f, + 0.980785280f, -0.195090322f +}; + +/** +* \par +* Example code for Floating-point Twiddle factors Generation: +* \par +*
for(i = 0; i< N/; i++)
+* {
+*	twiddleCoef[2*i]= cos(i * 2*PI/(float)N);
+*	twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);
+* } 
+* \par +* where N = 64 and PI = 3.14159265358979 +* \par +* Cos and Sin values are in interleaved fashion +* +*/ +const float32_t twiddleCoef_64[128] = { + 1.000000000f, 0.000000000f, + 0.995184727f, 0.098017140f, + 0.980785280f, 0.195090322f, + 0.956940336f, 0.290284677f, + 0.923879533f, 0.382683432f, + 0.881921264f, 0.471396737f, + 0.831469612f, 0.555570233f, + 0.773010453f, 0.634393284f, + 0.707106781f, 0.707106781f, + 0.634393284f, 0.773010453f, + 0.555570233f, 0.831469612f, + 0.471396737f, 0.881921264f, + 0.382683432f, 0.923879533f, + 0.290284677f, 0.956940336f, + 0.195090322f, 0.980785280f, + 0.098017140f, 0.995184727f, + 0.000000000f, 1.000000000f, + -0.098017140f, 0.995184727f, + -0.195090322f, 0.980785280f, + -0.290284677f, 0.956940336f, + -0.382683432f, 0.923879533f, + -0.471396737f, 0.881921264f, + -0.555570233f, 0.831469612f, + -0.634393284f, 0.773010453f, + -0.707106781f, 0.707106781f, + -0.773010453f, 0.634393284f, + -0.831469612f, 0.555570233f, + -0.881921264f, 0.471396737f, + -0.923879533f, 0.382683432f, + -0.956940336f, 0.290284677f, + -0.980785280f, 0.195090322f, + -0.995184727f, 0.098017140f, + -1.000000000f, 0.000000000f, + -0.995184727f, -0.098017140f, + -0.980785280f, -0.195090322f, + -0.956940336f, -0.290284677f, + -0.923879533f, -0.382683432f, + -0.881921264f, -0.471396737f, + -0.831469612f, -0.555570233f, + -0.773010453f, -0.634393284f, + -0.707106781f, -0.707106781f, + -0.634393284f, -0.773010453f, + -0.555570233f, -0.831469612f, + -0.471396737f, -0.881921264f, + -0.382683432f, -0.923879533f, + -0.290284677f, -0.956940336f, + -0.195090322f, -0.980785280f, + -0.098017140f, -0.995184727f, + -0.000000000f, -1.000000000f, + 0.098017140f, -0.995184727f, + 0.195090322f, -0.980785280f, + 0.290284677f, -0.956940336f, + 0.382683432f, -0.923879533f, + 0.471396737f, -0.881921264f, + 0.555570233f, -0.831469612f, + 0.634393284f, -0.773010453f, + 0.707106781f, -0.707106781f, + 0.773010453f, -0.634393284f, + 0.831469612f, -0.555570233f, + 0.881921264f, -0.471396737f, + 0.923879533f, -0.382683432f, + 0.956940336f, -0.290284677f, + 0.980785280f, -0.195090322f, + 0.995184727f, -0.098017140f +}; + +/** +* \par +* Example code for Floating-point Twiddle factors Generation: +* \par +*
for(i = 0; i< N/; i++)
+* {
+*	twiddleCoef[2*i]= cos(i * 2*PI/(float)N);
+*	twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);
+* } 
+* \par +* where N = 128 and PI = 3.14159265358979 +* \par +* Cos and Sin values are in interleaved fashion +* +*/ + +const float32_t twiddleCoef_128[256] = { + 1.000000000f, 0.000000000f, + 0.998795456f, 0.049067674f, + 0.995184727f, 0.098017140f, + 0.989176510f, 0.146730474f, + 0.980785280f, 0.195090322f, + 0.970031253f, 0.242980180f, + 0.956940336f, 0.290284677f, + 0.941544065f, 0.336889853f, + 0.923879533f, 0.382683432f, + 0.903989293f, 0.427555093f, + 0.881921264f, 0.471396737f, + 0.857728610f, 0.514102744f, + 0.831469612f, 0.555570233f, + 0.803207531f, 0.595699304f, + 0.773010453f, 0.634393284f, + 0.740951125f, 0.671558955f, + 0.707106781f, 0.707106781f, + 0.671558955f, 0.740951125f, + 0.634393284f, 0.773010453f, + 0.595699304f, 0.803207531f, + 0.555570233f, 0.831469612f, + 0.514102744f, 0.857728610f, + 0.471396737f, 0.881921264f, + 0.427555093f, 0.903989293f, + 0.382683432f, 0.923879533f, + 0.336889853f, 0.941544065f, + 0.290284677f, 0.956940336f, + 0.242980180f, 0.970031253f, + 0.195090322f, 0.980785280f, + 0.146730474f, 0.989176510f, + 0.098017140f, 0.995184727f, + 0.049067674f, 0.998795456f, + 0.000000000f, 1.000000000f, + -0.049067674f, 0.998795456f, + -0.098017140f, 0.995184727f, + -0.146730474f, 0.989176510f, + -0.195090322f, 0.980785280f, + -0.242980180f, 0.970031253f, + -0.290284677f, 0.956940336f, + -0.336889853f, 0.941544065f, + -0.382683432f, 0.923879533f, + -0.427555093f, 0.903989293f, + -0.471396737f, 0.881921264f, + -0.514102744f, 0.857728610f, + -0.555570233f, 0.831469612f, + -0.595699304f, 0.803207531f, + -0.634393284f, 0.773010453f, + -0.671558955f, 0.740951125f, + -0.707106781f, 0.707106781f, + -0.740951125f, 0.671558955f, + -0.773010453f, 0.634393284f, + -0.803207531f, 0.595699304f, + -0.831469612f, 0.555570233f, + -0.857728610f, 0.514102744f, + -0.881921264f, 0.471396737f, + -0.903989293f, 0.427555093f, + -0.923879533f, 0.382683432f, + -0.941544065f, 0.336889853f, + -0.956940336f, 0.290284677f, + -0.970031253f, 0.242980180f, + -0.980785280f, 0.195090322f, + -0.989176510f, 0.146730474f, + -0.995184727f, 0.098017140f, + -0.998795456f, 0.049067674f, + -1.000000000f, 0.000000000f, + -0.998795456f, -0.049067674f, + -0.995184727f, -0.098017140f, + -0.989176510f, -0.146730474f, + -0.980785280f, -0.195090322f, + -0.970031253f, -0.242980180f, + -0.956940336f, -0.290284677f, + -0.941544065f, -0.336889853f, + -0.923879533f, -0.382683432f, + -0.903989293f, -0.427555093f, + -0.881921264f, -0.471396737f, + -0.857728610f, -0.514102744f, + -0.831469612f, -0.555570233f, + -0.803207531f, -0.595699304f, + -0.773010453f, -0.634393284f, + -0.740951125f, -0.671558955f, + -0.707106781f, -0.707106781f, + -0.671558955f, -0.740951125f, + -0.634393284f, -0.773010453f, + -0.595699304f, -0.803207531f, + -0.555570233f, -0.831469612f, + -0.514102744f, -0.857728610f, + -0.471396737f, -0.881921264f, + -0.427555093f, -0.903989293f, + -0.382683432f, -0.923879533f, + -0.336889853f, -0.941544065f, + -0.290284677f, -0.956940336f, + -0.242980180f, -0.970031253f, + -0.195090322f, -0.980785280f, + -0.146730474f, -0.989176510f, + -0.098017140f, -0.995184727f, + -0.049067674f, -0.998795456f, + -0.000000000f, -1.000000000f, + 0.049067674f, -0.998795456f, + 0.098017140f, -0.995184727f, + 0.146730474f, -0.989176510f, + 0.195090322f, -0.980785280f, + 0.242980180f, -0.970031253f, + 0.290284677f, -0.956940336f, + 0.336889853f, -0.941544065f, + 0.382683432f, -0.923879533f, + 0.427555093f, -0.903989293f, + 0.471396737f, -0.881921264f, + 0.514102744f, -0.857728610f, + 0.555570233f, -0.831469612f, + 0.595699304f, -0.803207531f, + 0.634393284f, -0.773010453f, + 0.671558955f, -0.740951125f, + 0.707106781f, -0.707106781f, + 0.740951125f, -0.671558955f, + 0.773010453f, -0.634393284f, + 0.803207531f, -0.595699304f, + 0.831469612f, -0.555570233f, + 0.857728610f, -0.514102744f, + 0.881921264f, -0.471396737f, + 0.903989293f, -0.427555093f, + 0.923879533f, -0.382683432f, + 0.941544065f, -0.336889853f, + 0.956940336f, -0.290284677f, + 0.970031253f, -0.242980180f, + 0.980785280f, -0.195090322f, + 0.989176510f, -0.146730474f, + 0.995184727f, -0.098017140f, + 0.998795456f, -0.049067674f +}; + +/** +* \par +* Example code for Floating-point Twiddle factors Generation: +* \par +*
for(i = 0; i< N/; i++)
+* {
+*	twiddleCoef[2*i]= cos(i * 2*PI/(float)N);
+*	twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);
+* } 
+* \par +* where N = 256 and PI = 3.14159265358979 +* \par +* Cos and Sin values are in interleaved fashion +* +*/ +const float32_t twiddleCoef_256[512] = { + 1.000000000f, 0.000000000f, + 0.999698819f, 0.024541229f, + 0.998795456f, 0.049067674f, + 0.997290457f, 0.073564564f, + 0.995184727f, 0.098017140f, + 0.992479535f, 0.122410675f, + 0.989176510f, 0.146730474f, + 0.985277642f, 0.170961889f, + 0.980785280f, 0.195090322f, + 0.975702130f, 0.219101240f, + 0.970031253f, 0.242980180f, + 0.963776066f, 0.266712757f, + 0.956940336f, 0.290284677f, + 0.949528181f, 0.313681740f, + 0.941544065f, 0.336889853f, + 0.932992799f, 0.359895037f, + 0.923879533f, 0.382683432f, + 0.914209756f, 0.405241314f, + 0.903989293f, 0.427555093f, + 0.893224301f, 0.449611330f, + 0.881921264f, 0.471396737f, + 0.870086991f, 0.492898192f, + 0.857728610f, 0.514102744f, + 0.844853565f, 0.534997620f, + 0.831469612f, 0.555570233f, + 0.817584813f, 0.575808191f, + 0.803207531f, 0.595699304f, + 0.788346428f, 0.615231591f, + 0.773010453f, 0.634393284f, + 0.757208847f, 0.653172843f, + 0.740951125f, 0.671558955f, + 0.724247083f, 0.689540545f, + 0.707106781f, 0.707106781f, + 0.689540545f, 0.724247083f, + 0.671558955f, 0.740951125f, + 0.653172843f, 0.757208847f, + 0.634393284f, 0.773010453f, + 0.615231591f, 0.788346428f, + 0.595699304f, 0.803207531f, + 0.575808191f, 0.817584813f, + 0.555570233f, 0.831469612f, + 0.534997620f, 0.844853565f, + 0.514102744f, 0.857728610f, + 0.492898192f, 0.870086991f, + 0.471396737f, 0.881921264f, + 0.449611330f, 0.893224301f, + 0.427555093f, 0.903989293f, + 0.405241314f, 0.914209756f, + 0.382683432f, 0.923879533f, + 0.359895037f, 0.932992799f, + 0.336889853f, 0.941544065f, + 0.313681740f, 0.949528181f, + 0.290284677f, 0.956940336f, + 0.266712757f, 0.963776066f, + 0.242980180f, 0.970031253f, + 0.219101240f, 0.975702130f, + 0.195090322f, 0.980785280f, + 0.170961889f, 0.985277642f, + 0.146730474f, 0.989176510f, + 0.122410675f, 0.992479535f, + 0.098017140f, 0.995184727f, + 0.073564564f, 0.997290457f, + 0.049067674f, 0.998795456f, + 0.024541229f, 0.999698819f, + 0.000000000f, 1.000000000f, + -0.024541229f, 0.999698819f, + -0.049067674f, 0.998795456f, + -0.073564564f, 0.997290457f, + -0.098017140f, 0.995184727f, + -0.122410675f, 0.992479535f, + -0.146730474f, 0.989176510f, + -0.170961889f, 0.985277642f, + -0.195090322f, 0.980785280f, + -0.219101240f, 0.975702130f, + -0.242980180f, 0.970031253f, + -0.266712757f, 0.963776066f, + -0.290284677f, 0.956940336f, + -0.313681740f, 0.949528181f, + -0.336889853f, 0.941544065f, + -0.359895037f, 0.932992799f, + -0.382683432f, 0.923879533f, + -0.405241314f, 0.914209756f, + -0.427555093f, 0.903989293f, + -0.449611330f, 0.893224301f, + -0.471396737f, 0.881921264f, + -0.492898192f, 0.870086991f, + -0.514102744f, 0.857728610f, + -0.534997620f, 0.844853565f, + -0.555570233f, 0.831469612f, + -0.575808191f, 0.817584813f, + -0.595699304f, 0.803207531f, + -0.615231591f, 0.788346428f, + -0.634393284f, 0.773010453f, + -0.653172843f, 0.757208847f, + -0.671558955f, 0.740951125f, + -0.689540545f, 0.724247083f, + -0.707106781f, 0.707106781f, + -0.724247083f, 0.689540545f, + -0.740951125f, 0.671558955f, + -0.757208847f, 0.653172843f, + -0.773010453f, 0.634393284f, + -0.788346428f, 0.615231591f, + -0.803207531f, 0.595699304f, + -0.817584813f, 0.575808191f, + -0.831469612f, 0.555570233f, + -0.844853565f, 0.534997620f, + -0.857728610f, 0.514102744f, + -0.870086991f, 0.492898192f, + -0.881921264f, 0.471396737f, + -0.893224301f, 0.449611330f, + -0.903989293f, 0.427555093f, + -0.914209756f, 0.405241314f, + -0.923879533f, 0.382683432f, + -0.932992799f, 0.359895037f, + -0.941544065f, 0.336889853f, + -0.949528181f, 0.313681740f, + -0.956940336f, 0.290284677f, + -0.963776066f, 0.266712757f, + -0.970031253f, 0.242980180f, + -0.975702130f, 0.219101240f, + -0.980785280f, 0.195090322f, + -0.985277642f, 0.170961889f, + -0.989176510f, 0.146730474f, + -0.992479535f, 0.122410675f, + -0.995184727f, 0.098017140f, + -0.997290457f, 0.073564564f, + -0.998795456f, 0.049067674f, + -0.999698819f, 0.024541229f, + -1.000000000f, 0.000000000f, + -0.999698819f, -0.024541229f, + -0.998795456f, -0.049067674f, + -0.997290457f, -0.073564564f, + -0.995184727f, -0.098017140f, + -0.992479535f, -0.122410675f, + -0.989176510f, -0.146730474f, + -0.985277642f, -0.170961889f, + -0.980785280f, -0.195090322f, + -0.975702130f, -0.219101240f, + -0.970031253f, -0.242980180f, + -0.963776066f, -0.266712757f, + -0.956940336f, -0.290284677f, + -0.949528181f, -0.313681740f, + -0.941544065f, -0.336889853f, + -0.932992799f, -0.359895037f, + -0.923879533f, -0.382683432f, + -0.914209756f, -0.405241314f, + -0.903989293f, -0.427555093f, + -0.893224301f, -0.449611330f, + -0.881921264f, -0.471396737f, + -0.870086991f, -0.492898192f, + -0.857728610f, -0.514102744f, + -0.844853565f, -0.534997620f, + -0.831469612f, -0.555570233f, + -0.817584813f, -0.575808191f, + -0.803207531f, -0.595699304f, + -0.788346428f, -0.615231591f, + -0.773010453f, -0.634393284f, + -0.757208847f, -0.653172843f, + -0.740951125f, -0.671558955f, + -0.724247083f, -0.689540545f, + -0.707106781f, -0.707106781f, + -0.689540545f, -0.724247083f, + -0.671558955f, -0.740951125f, + -0.653172843f, -0.757208847f, + -0.634393284f, -0.773010453f, + -0.615231591f, -0.788346428f, + -0.595699304f, -0.803207531f, + -0.575808191f, -0.817584813f, + -0.555570233f, -0.831469612f, + -0.534997620f, -0.844853565f, + -0.514102744f, -0.857728610f, + -0.492898192f, -0.870086991f, + -0.471396737f, -0.881921264f, + -0.449611330f, -0.893224301f, + -0.427555093f, -0.903989293f, + -0.405241314f, -0.914209756f, + -0.382683432f, -0.923879533f, + -0.359895037f, -0.932992799f, + -0.336889853f, -0.941544065f, + -0.313681740f, -0.949528181f, + -0.290284677f, -0.956940336f, + -0.266712757f, -0.963776066f, + -0.242980180f, -0.970031253f, + -0.219101240f, -0.975702130f, + -0.195090322f, -0.980785280f, + -0.170961889f, -0.985277642f, + -0.146730474f, -0.989176510f, + -0.122410675f, -0.992479535f, + -0.098017140f, -0.995184727f, + -0.073564564f, -0.997290457f, + -0.049067674f, -0.998795456f, + -0.024541229f, -0.999698819f, + -0.000000000f, -1.000000000f, + 0.024541229f, -0.999698819f, + 0.049067674f, -0.998795456f, + 0.073564564f, -0.997290457f, + 0.098017140f, -0.995184727f, + 0.122410675f, -0.992479535f, + 0.146730474f, -0.989176510f, + 0.170961889f, -0.985277642f, + 0.195090322f, -0.980785280f, + 0.219101240f, -0.975702130f, + 0.242980180f, -0.970031253f, + 0.266712757f, -0.963776066f, + 0.290284677f, -0.956940336f, + 0.313681740f, -0.949528181f, + 0.336889853f, -0.941544065f, + 0.359895037f, -0.932992799f, + 0.382683432f, -0.923879533f, + 0.405241314f, -0.914209756f, + 0.427555093f, -0.903989293f, + 0.449611330f, -0.893224301f, + 0.471396737f, -0.881921264f, + 0.492898192f, -0.870086991f, + 0.514102744f, -0.857728610f, + 0.534997620f, -0.844853565f, + 0.555570233f, -0.831469612f, + 0.575808191f, -0.817584813f, + 0.595699304f, -0.803207531f, + 0.615231591f, -0.788346428f, + 0.634393284f, -0.773010453f, + 0.653172843f, -0.757208847f, + 0.671558955f, -0.740951125f, + 0.689540545f, -0.724247083f, + 0.707106781f, -0.707106781f, + 0.724247083f, -0.689540545f, + 0.740951125f, -0.671558955f, + 0.757208847f, -0.653172843f, + 0.773010453f, -0.634393284f, + 0.788346428f, -0.615231591f, + 0.803207531f, -0.595699304f, + 0.817584813f, -0.575808191f, + 0.831469612f, -0.555570233f, + 0.844853565f, -0.534997620f, + 0.857728610f, -0.514102744f, + 0.870086991f, -0.492898192f, + 0.881921264f, -0.471396737f, + 0.893224301f, -0.449611330f, + 0.903989293f, -0.427555093f, + 0.914209756f, -0.405241314f, + 0.923879533f, -0.382683432f, + 0.932992799f, -0.359895037f, + 0.941544065f, -0.336889853f, + 0.949528181f, -0.313681740f, + 0.956940336f, -0.290284677f, + 0.963776066f, -0.266712757f, + 0.970031253f, -0.242980180f, + 0.975702130f, -0.219101240f, + 0.980785280f, -0.195090322f, + 0.985277642f, -0.170961889f, + 0.989176510f, -0.146730474f, + 0.992479535f, -0.122410675f, + 0.995184727f, -0.098017140f, + 0.997290457f, -0.073564564f, + 0.998795456f, -0.049067674f, + 0.999698819f, -0.024541229f +}; + +/** +* \par +* Example code for Floating-point Twiddle factors Generation: +* \par +*
for(i = 0; i< N/; i++)
+* {
+*	twiddleCoef[2*i]= cos(i * 2*PI/(float)N);
+*	twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);
+* } 
+* \par +* where N = 512 and PI = 3.14159265358979 +* \par +* Cos and Sin values are in interleaved fashion +* +*/ +const float32_t twiddleCoef_512[1024] = { + 1.000000000f, 0.000000000f, + 0.999924702f, 0.012271538f, + 0.999698819f, 0.024541229f, + 0.999322385f, 0.036807223f, + 0.998795456f, 0.049067674f, + 0.998118113f, 0.061320736f, + 0.997290457f, 0.073564564f, + 0.996312612f, 0.085797312f, + 0.995184727f, 0.098017140f, + 0.993906970f, 0.110222207f, + 0.992479535f, 0.122410675f, + 0.990902635f, 0.134580709f, + 0.989176510f, 0.146730474f, + 0.987301418f, 0.158858143f, + 0.985277642f, 0.170961889f, + 0.983105487f, 0.183039888f, + 0.980785280f, 0.195090322f, + 0.978317371f, 0.207111376f, + 0.975702130f, 0.219101240f, + 0.972939952f, 0.231058108f, + 0.970031253f, 0.242980180f, + 0.966976471f, 0.254865660f, + 0.963776066f, 0.266712757f, + 0.960430519f, 0.278519689f, + 0.956940336f, 0.290284677f, + 0.953306040f, 0.302005949f, + 0.949528181f, 0.313681740f, + 0.945607325f, 0.325310292f, + 0.941544065f, 0.336889853f, + 0.937339012f, 0.348418680f, + 0.932992799f, 0.359895037f, + 0.928506080f, 0.371317194f, + 0.923879533f, 0.382683432f, + 0.919113852f, 0.393992040f, + 0.914209756f, 0.405241314f, + 0.909167983f, 0.416429560f, + 0.903989293f, 0.427555093f, + 0.898674466f, 0.438616239f, + 0.893224301f, 0.449611330f, + 0.887639620f, 0.460538711f, + 0.881921264f, 0.471396737f, + 0.876070094f, 0.482183772f, + 0.870086991f, 0.492898192f, + 0.863972856f, 0.503538384f, + 0.857728610f, 0.514102744f, + 0.851355193f, 0.524589683f, + 0.844853565f, 0.534997620f, + 0.838224706f, 0.545324988f, + 0.831469612f, 0.555570233f, + 0.824589303f, 0.565731811f, + 0.817584813f, 0.575808191f, + 0.810457198f, 0.585797857f, + 0.803207531f, 0.595699304f, + 0.795836905f, 0.605511041f, + 0.788346428f, 0.615231591f, + 0.780737229f, 0.624859488f, + 0.773010453f, 0.634393284f, + 0.765167266f, 0.643831543f, + 0.757208847f, 0.653172843f, + 0.749136395f, 0.662415778f, + 0.740951125f, 0.671558955f, + 0.732654272f, 0.680600998f, + 0.724247083f, 0.689540545f, + 0.715730825f, 0.698376249f, + 0.707106781f, 0.707106781f, + 0.698376249f, 0.715730825f, + 0.689540545f, 0.724247083f, + 0.680600998f, 0.732654272f, + 0.671558955f, 0.740951125f, + 0.662415778f, 0.749136395f, + 0.653172843f, 0.757208847f, + 0.643831543f, 0.765167266f, + 0.634393284f, 0.773010453f, + 0.624859488f, 0.780737229f, + 0.615231591f, 0.788346428f, + 0.605511041f, 0.795836905f, + 0.595699304f, 0.803207531f, + 0.585797857f, 0.810457198f, + 0.575808191f, 0.817584813f, + 0.565731811f, 0.824589303f, + 0.555570233f, 0.831469612f, + 0.545324988f, 0.838224706f, + 0.534997620f, 0.844853565f, + 0.524589683f, 0.851355193f, + 0.514102744f, 0.857728610f, + 0.503538384f, 0.863972856f, + 0.492898192f, 0.870086991f, + 0.482183772f, 0.876070094f, + 0.471396737f, 0.881921264f, + 0.460538711f, 0.887639620f, + 0.449611330f, 0.893224301f, + 0.438616239f, 0.898674466f, + 0.427555093f, 0.903989293f, + 0.416429560f, 0.909167983f, + 0.405241314f, 0.914209756f, + 0.393992040f, 0.919113852f, + 0.382683432f, 0.923879533f, + 0.371317194f, 0.928506080f, + 0.359895037f, 0.932992799f, + 0.348418680f, 0.937339012f, + 0.336889853f, 0.941544065f, + 0.325310292f, 0.945607325f, + 0.313681740f, 0.949528181f, + 0.302005949f, 0.953306040f, + 0.290284677f, 0.956940336f, + 0.278519689f, 0.960430519f, + 0.266712757f, 0.963776066f, + 0.254865660f, 0.966976471f, + 0.242980180f, 0.970031253f, + 0.231058108f, 0.972939952f, + 0.219101240f, 0.975702130f, + 0.207111376f, 0.978317371f, + 0.195090322f, 0.980785280f, + 0.183039888f, 0.983105487f, + 0.170961889f, 0.985277642f, + 0.158858143f, 0.987301418f, + 0.146730474f, 0.989176510f, + 0.134580709f, 0.990902635f, + 0.122410675f, 0.992479535f, + 0.110222207f, 0.993906970f, + 0.098017140f, 0.995184727f, + 0.085797312f, 0.996312612f, + 0.073564564f, 0.997290457f, + 0.061320736f, 0.998118113f, + 0.049067674f, 0.998795456f, + 0.036807223f, 0.999322385f, + 0.024541229f, 0.999698819f, + 0.012271538f, 0.999924702f, + 0.000000000f, 1.000000000f, + -0.012271538f, 0.999924702f, + -0.024541229f, 0.999698819f, + -0.036807223f, 0.999322385f, + -0.049067674f, 0.998795456f, + -0.061320736f, 0.998118113f, + -0.073564564f, 0.997290457f, + -0.085797312f, 0.996312612f, + -0.098017140f, 0.995184727f, + -0.110222207f, 0.993906970f, + -0.122410675f, 0.992479535f, + -0.134580709f, 0.990902635f, + -0.146730474f, 0.989176510f, + -0.158858143f, 0.987301418f, + -0.170961889f, 0.985277642f, + -0.183039888f, 0.983105487f, + -0.195090322f, 0.980785280f, + -0.207111376f, 0.978317371f, + -0.219101240f, 0.975702130f, + -0.231058108f, 0.972939952f, + -0.242980180f, 0.970031253f, + -0.254865660f, 0.966976471f, + -0.266712757f, 0.963776066f, + -0.278519689f, 0.960430519f, + -0.290284677f, 0.956940336f, + -0.302005949f, 0.953306040f, + -0.313681740f, 0.949528181f, + -0.325310292f, 0.945607325f, + -0.336889853f, 0.941544065f, + -0.348418680f, 0.937339012f, + -0.359895037f, 0.932992799f, + -0.371317194f, 0.928506080f, + -0.382683432f, 0.923879533f, + -0.393992040f, 0.919113852f, + -0.405241314f, 0.914209756f, + -0.416429560f, 0.909167983f, + -0.427555093f, 0.903989293f, + -0.438616239f, 0.898674466f, + -0.449611330f, 0.893224301f, + -0.460538711f, 0.887639620f, + -0.471396737f, 0.881921264f, + -0.482183772f, 0.876070094f, + -0.492898192f, 0.870086991f, + -0.503538384f, 0.863972856f, + -0.514102744f, 0.857728610f, + -0.524589683f, 0.851355193f, + -0.534997620f, 0.844853565f, + -0.545324988f, 0.838224706f, + -0.555570233f, 0.831469612f, + -0.565731811f, 0.824589303f, + -0.575808191f, 0.817584813f, + -0.585797857f, 0.810457198f, + -0.595699304f, 0.803207531f, + -0.605511041f, 0.795836905f, + -0.615231591f, 0.788346428f, + -0.624859488f, 0.780737229f, + -0.634393284f, 0.773010453f, + -0.643831543f, 0.765167266f, + -0.653172843f, 0.757208847f, + -0.662415778f, 0.749136395f, + -0.671558955f, 0.740951125f, + -0.680600998f, 0.732654272f, + -0.689540545f, 0.724247083f, + -0.698376249f, 0.715730825f, + -0.707106781f, 0.707106781f, + -0.715730825f, 0.698376249f, + -0.724247083f, 0.689540545f, + -0.732654272f, 0.680600998f, + -0.740951125f, 0.671558955f, + -0.749136395f, 0.662415778f, + -0.757208847f, 0.653172843f, + -0.765167266f, 0.643831543f, + -0.773010453f, 0.634393284f, + -0.780737229f, 0.624859488f, + -0.788346428f, 0.615231591f, + -0.795836905f, 0.605511041f, + -0.803207531f, 0.595699304f, + -0.810457198f, 0.585797857f, + -0.817584813f, 0.575808191f, + -0.824589303f, 0.565731811f, + -0.831469612f, 0.555570233f, + -0.838224706f, 0.545324988f, + -0.844853565f, 0.534997620f, + -0.851355193f, 0.524589683f, + -0.857728610f, 0.514102744f, + -0.863972856f, 0.503538384f, + -0.870086991f, 0.492898192f, + -0.876070094f, 0.482183772f, + -0.881921264f, 0.471396737f, + -0.887639620f, 0.460538711f, + -0.893224301f, 0.449611330f, + -0.898674466f, 0.438616239f, + -0.903989293f, 0.427555093f, + -0.909167983f, 0.416429560f, + -0.914209756f, 0.405241314f, + -0.919113852f, 0.393992040f, + -0.923879533f, 0.382683432f, + -0.928506080f, 0.371317194f, + -0.932992799f, 0.359895037f, + -0.937339012f, 0.348418680f, + -0.941544065f, 0.336889853f, + -0.945607325f, 0.325310292f, + -0.949528181f, 0.313681740f, + -0.953306040f, 0.302005949f, + -0.956940336f, 0.290284677f, + -0.960430519f, 0.278519689f, + -0.963776066f, 0.266712757f, + -0.966976471f, 0.254865660f, + -0.970031253f, 0.242980180f, + -0.972939952f, 0.231058108f, + -0.975702130f, 0.219101240f, + -0.978317371f, 0.207111376f, + -0.980785280f, 0.195090322f, + -0.983105487f, 0.183039888f, + -0.985277642f, 0.170961889f, + -0.987301418f, 0.158858143f, + -0.989176510f, 0.146730474f, + -0.990902635f, 0.134580709f, + -0.992479535f, 0.122410675f, + -0.993906970f, 0.110222207f, + -0.995184727f, 0.098017140f, + -0.996312612f, 0.085797312f, + -0.997290457f, 0.073564564f, + -0.998118113f, 0.061320736f, + -0.998795456f, 0.049067674f, + -0.999322385f, 0.036807223f, + -0.999698819f, 0.024541229f, + -0.999924702f, 0.012271538f, + -1.000000000f, 0.000000000f, + -0.999924702f, -0.012271538f, + -0.999698819f, -0.024541229f, + -0.999322385f, -0.036807223f, + -0.998795456f, -0.049067674f, + -0.998118113f, -0.061320736f, + -0.997290457f, -0.073564564f, + -0.996312612f, -0.085797312f, + -0.995184727f, -0.098017140f, + -0.993906970f, -0.110222207f, + -0.992479535f, -0.122410675f, + -0.990902635f, -0.134580709f, + -0.989176510f, -0.146730474f, + -0.987301418f, -0.158858143f, + -0.985277642f, -0.170961889f, + -0.983105487f, -0.183039888f, + -0.980785280f, -0.195090322f, + -0.978317371f, -0.207111376f, + -0.975702130f, -0.219101240f, + -0.972939952f, -0.231058108f, + -0.970031253f, -0.242980180f, + -0.966976471f, -0.254865660f, + -0.963776066f, -0.266712757f, + -0.960430519f, -0.278519689f, + -0.956940336f, -0.290284677f, + -0.953306040f, -0.302005949f, + -0.949528181f, -0.313681740f, + -0.945607325f, -0.325310292f, + -0.941544065f, -0.336889853f, + -0.937339012f, -0.348418680f, + -0.932992799f, -0.359895037f, + -0.928506080f, -0.371317194f, + -0.923879533f, -0.382683432f, + -0.919113852f, -0.393992040f, + -0.914209756f, -0.405241314f, + -0.909167983f, -0.416429560f, + -0.903989293f, -0.427555093f, + -0.898674466f, -0.438616239f, + -0.893224301f, -0.449611330f, + -0.887639620f, -0.460538711f, + -0.881921264f, -0.471396737f, + -0.876070094f, -0.482183772f, + -0.870086991f, -0.492898192f, + -0.863972856f, -0.503538384f, + -0.857728610f, -0.514102744f, + -0.851355193f, -0.524589683f, + -0.844853565f, -0.534997620f, + -0.838224706f, -0.545324988f, + -0.831469612f, -0.555570233f, + -0.824589303f, -0.565731811f, + -0.817584813f, -0.575808191f, + -0.810457198f, -0.585797857f, + -0.803207531f, -0.595699304f, + -0.795836905f, -0.605511041f, + -0.788346428f, -0.615231591f, + -0.780737229f, -0.624859488f, + -0.773010453f, -0.634393284f, + -0.765167266f, -0.643831543f, + -0.757208847f, -0.653172843f, + -0.749136395f, -0.662415778f, + -0.740951125f, -0.671558955f, + -0.732654272f, -0.680600998f, + -0.724247083f, -0.689540545f, + -0.715730825f, -0.698376249f, + -0.707106781f, -0.707106781f, + -0.698376249f, -0.715730825f, + -0.689540545f, -0.724247083f, + -0.680600998f, -0.732654272f, + -0.671558955f, -0.740951125f, + -0.662415778f, -0.749136395f, + -0.653172843f, -0.757208847f, + -0.643831543f, -0.765167266f, + -0.634393284f, -0.773010453f, + -0.624859488f, -0.780737229f, + -0.615231591f, -0.788346428f, + -0.605511041f, -0.795836905f, + -0.595699304f, -0.803207531f, + -0.585797857f, -0.810457198f, + -0.575808191f, -0.817584813f, + -0.565731811f, -0.824589303f, + -0.555570233f, -0.831469612f, + -0.545324988f, -0.838224706f, + -0.534997620f, -0.844853565f, + -0.524589683f, -0.851355193f, + -0.514102744f, -0.857728610f, + -0.503538384f, -0.863972856f, + -0.492898192f, -0.870086991f, + -0.482183772f, -0.876070094f, + -0.471396737f, -0.881921264f, + -0.460538711f, -0.887639620f, + -0.449611330f, -0.893224301f, + -0.438616239f, -0.898674466f, + -0.427555093f, -0.903989293f, + -0.416429560f, -0.909167983f, + -0.405241314f, -0.914209756f, + -0.393992040f, -0.919113852f, + -0.382683432f, -0.923879533f, + -0.371317194f, -0.928506080f, + -0.359895037f, -0.932992799f, + -0.348418680f, -0.937339012f, + -0.336889853f, -0.941544065f, + -0.325310292f, -0.945607325f, + -0.313681740f, -0.949528181f, + -0.302005949f, -0.953306040f, + -0.290284677f, -0.956940336f, + -0.278519689f, -0.960430519f, + -0.266712757f, -0.963776066f, + -0.254865660f, -0.966976471f, + -0.242980180f, -0.970031253f, + -0.231058108f, -0.972939952f, + -0.219101240f, -0.975702130f, + -0.207111376f, -0.978317371f, + -0.195090322f, -0.980785280f, + -0.183039888f, -0.983105487f, + -0.170961889f, -0.985277642f, + -0.158858143f, -0.987301418f, + -0.146730474f, -0.989176510f, + -0.134580709f, -0.990902635f, + -0.122410675f, -0.992479535f, + -0.110222207f, -0.993906970f, + -0.098017140f, -0.995184727f, + -0.085797312f, -0.996312612f, + -0.073564564f, -0.997290457f, + -0.061320736f, -0.998118113f, + -0.049067674f, -0.998795456f, + -0.036807223f, -0.999322385f, + -0.024541229f, -0.999698819f, + -0.012271538f, -0.999924702f, + -0.000000000f, -1.000000000f, + 0.012271538f, -0.999924702f, + 0.024541229f, -0.999698819f, + 0.036807223f, -0.999322385f, + 0.049067674f, -0.998795456f, + 0.061320736f, -0.998118113f, + 0.073564564f, -0.997290457f, + 0.085797312f, -0.996312612f, + 0.098017140f, -0.995184727f, + 0.110222207f, -0.993906970f, + 0.122410675f, -0.992479535f, + 0.134580709f, -0.990902635f, + 0.146730474f, -0.989176510f, + 0.158858143f, -0.987301418f, + 0.170961889f, -0.985277642f, + 0.183039888f, -0.983105487f, + 0.195090322f, -0.980785280f, + 0.207111376f, -0.978317371f, + 0.219101240f, -0.975702130f, + 0.231058108f, -0.972939952f, + 0.242980180f, -0.970031253f, + 0.254865660f, -0.966976471f, + 0.266712757f, -0.963776066f, + 0.278519689f, -0.960430519f, + 0.290284677f, -0.956940336f, + 0.302005949f, -0.953306040f, + 0.313681740f, -0.949528181f, + 0.325310292f, -0.945607325f, + 0.336889853f, -0.941544065f, + 0.348418680f, -0.937339012f, + 0.359895037f, -0.932992799f, + 0.371317194f, -0.928506080f, + 0.382683432f, -0.923879533f, + 0.393992040f, -0.919113852f, + 0.405241314f, -0.914209756f, + 0.416429560f, -0.909167983f, + 0.427555093f, -0.903989293f, + 0.438616239f, -0.898674466f, + 0.449611330f, -0.893224301f, + 0.460538711f, -0.887639620f, + 0.471396737f, -0.881921264f, + 0.482183772f, -0.876070094f, + 0.492898192f, -0.870086991f, + 0.503538384f, -0.863972856f, + 0.514102744f, -0.857728610f, + 0.524589683f, -0.851355193f, + 0.534997620f, -0.844853565f, + 0.545324988f, -0.838224706f, + 0.555570233f, -0.831469612f, + 0.565731811f, -0.824589303f, + 0.575808191f, -0.817584813f, + 0.585797857f, -0.810457198f, + 0.595699304f, -0.803207531f, + 0.605511041f, -0.795836905f, + 0.615231591f, -0.788346428f, + 0.624859488f, -0.780737229f, + 0.634393284f, -0.773010453f, + 0.643831543f, -0.765167266f, + 0.653172843f, -0.757208847f, + 0.662415778f, -0.749136395f, + 0.671558955f, -0.740951125f, + 0.680600998f, -0.732654272f, + 0.689540545f, -0.724247083f, + 0.698376249f, -0.715730825f, + 0.707106781f, -0.707106781f, + 0.715730825f, -0.698376249f, + 0.724247083f, -0.689540545f, + 0.732654272f, -0.680600998f, + 0.740951125f, -0.671558955f, + 0.749136395f, -0.662415778f, + 0.757208847f, -0.653172843f, + 0.765167266f, -0.643831543f, + 0.773010453f, -0.634393284f, + 0.780737229f, -0.624859488f, + 0.788346428f, -0.615231591f, + 0.795836905f, -0.605511041f, + 0.803207531f, -0.595699304f, + 0.810457198f, -0.585797857f, + 0.817584813f, -0.575808191f, + 0.824589303f, -0.565731811f, + 0.831469612f, -0.555570233f, + 0.838224706f, -0.545324988f, + 0.844853565f, -0.534997620f, + 0.851355193f, -0.524589683f, + 0.857728610f, -0.514102744f, + 0.863972856f, -0.503538384f, + 0.870086991f, -0.492898192f, + 0.876070094f, -0.482183772f, + 0.881921264f, -0.471396737f, + 0.887639620f, -0.460538711f, + 0.893224301f, -0.449611330f, + 0.898674466f, -0.438616239f, + 0.903989293f, -0.427555093f, + 0.909167983f, -0.416429560f, + 0.914209756f, -0.405241314f, + 0.919113852f, -0.393992040f, + 0.923879533f, -0.382683432f, + 0.928506080f, -0.371317194f, + 0.932992799f, -0.359895037f, + 0.937339012f, -0.348418680f, + 0.941544065f, -0.336889853f, + 0.945607325f, -0.325310292f, + 0.949528181f, -0.313681740f, + 0.953306040f, -0.302005949f, + 0.956940336f, -0.290284677f, + 0.960430519f, -0.278519689f, + 0.963776066f, -0.266712757f, + 0.966976471f, -0.254865660f, + 0.970031253f, -0.242980180f, + 0.972939952f, -0.231058108f, + 0.975702130f, -0.219101240f, + 0.978317371f, -0.207111376f, + 0.980785280f, -0.195090322f, + 0.983105487f, -0.183039888f, + 0.985277642f, -0.170961889f, + 0.987301418f, -0.158858143f, + 0.989176510f, -0.146730474f, + 0.990902635f, -0.134580709f, + 0.992479535f, -0.122410675f, + 0.993906970f, -0.110222207f, + 0.995184727f, -0.098017140f, + 0.996312612f, -0.085797312f, + 0.997290457f, -0.073564564f, + 0.998118113f, -0.061320736f, + 0.998795456f, -0.049067674f, + 0.999322385f, -0.036807223f, + 0.999698819f, -0.024541229f, + 0.999924702f, -0.012271538f +}; +/** +* \par +* Example code for Floating-point Twiddle factors Generation: +* \par +*
for(i = 0; i< N/; i++)
+* {
+*	twiddleCoef[2*i]= cos(i * 2*PI/(float)N);
+*	twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);
+* } 
+* \par +* where N = 1024 and PI = 3.14159265358979 +* \par +* Cos and Sin values are in interleaved fashion +* +*/ +const float32_t twiddleCoef_1024[2048] = { + 1.000000000f, 0.000000000f, + 0.999981175f, 0.006135885f, + 0.999924702f, 0.012271538f, + 0.999830582f, 0.018406730f, + 0.999698819f, 0.024541229f, + 0.999529418f, 0.030674803f, + 0.999322385f, 0.036807223f, + 0.999077728f, 0.042938257f, + 0.998795456f, 0.049067674f, + 0.998475581f, 0.055195244f, + 0.998118113f, 0.061320736f, + 0.997723067f, 0.067443920f, + 0.997290457f, 0.073564564f, + 0.996820299f, 0.079682438f, + 0.996312612f, 0.085797312f, + 0.995767414f, 0.091908956f, + 0.995184727f, 0.098017140f, + 0.994564571f, 0.104121634f, + 0.993906970f, 0.110222207f, + 0.993211949f, 0.116318631f, + 0.992479535f, 0.122410675f, + 0.991709754f, 0.128498111f, + 0.990902635f, 0.134580709f, + 0.990058210f, 0.140658239f, + 0.989176510f, 0.146730474f, + 0.988257568f, 0.152797185f, + 0.987301418f, 0.158858143f, + 0.986308097f, 0.164913120f, + 0.985277642f, 0.170961889f, + 0.984210092f, 0.177004220f, + 0.983105487f, 0.183039888f, + 0.981963869f, 0.189068664f, + 0.980785280f, 0.195090322f, + 0.979569766f, 0.201104635f, + 0.978317371f, 0.207111376f, + 0.977028143f, 0.213110320f, + 0.975702130f, 0.219101240f, + 0.974339383f, 0.225083911f, + 0.972939952f, 0.231058108f, + 0.971503891f, 0.237023606f, + 0.970031253f, 0.242980180f, + 0.968522094f, 0.248927606f, + 0.966976471f, 0.254865660f, + 0.965394442f, 0.260794118f, + 0.963776066f, 0.266712757f, + 0.962121404f, 0.272621355f, + 0.960430519f, 0.278519689f, + 0.958703475f, 0.284407537f, + 0.956940336f, 0.290284677f, + 0.955141168f, 0.296150888f, + 0.953306040f, 0.302005949f, + 0.951435021f, 0.307849640f, + 0.949528181f, 0.313681740f, + 0.947585591f, 0.319502031f, + 0.945607325f, 0.325310292f, + 0.943593458f, 0.331106306f, + 0.941544065f, 0.336889853f, + 0.939459224f, 0.342660717f, + 0.937339012f, 0.348418680f, + 0.935183510f, 0.354163525f, + 0.932992799f, 0.359895037f, + 0.930766961f, 0.365612998f, + 0.928506080f, 0.371317194f, + 0.926210242f, 0.377007410f, + 0.923879533f, 0.382683432f, + 0.921514039f, 0.388345047f, + 0.919113852f, 0.393992040f, + 0.916679060f, 0.399624200f, + 0.914209756f, 0.405241314f, + 0.911706032f, 0.410843171f, + 0.909167983f, 0.416429560f, + 0.906595705f, 0.422000271f, + 0.903989293f, 0.427555093f, + 0.901348847f, 0.433093819f, + 0.898674466f, 0.438616239f, + 0.895966250f, 0.444122145f, + 0.893224301f, 0.449611330f, + 0.890448723f, 0.455083587f, + 0.887639620f, 0.460538711f, + 0.884797098f, 0.465976496f, + 0.881921264f, 0.471396737f, + 0.879012226f, 0.476799230f, + 0.876070094f, 0.482183772f, + 0.873094978f, 0.487550160f, + 0.870086991f, 0.492898192f, + 0.867046246f, 0.498227667f, + 0.863972856f, 0.503538384f, + 0.860866939f, 0.508830143f, + 0.857728610f, 0.514102744f, + 0.854557988f, 0.519355990f, + 0.851355193f, 0.524589683f, + 0.848120345f, 0.529803625f, + 0.844853565f, 0.534997620f, + 0.841554977f, 0.540171473f, + 0.838224706f, 0.545324988f, + 0.834862875f, 0.550457973f, + 0.831469612f, 0.555570233f, + 0.828045045f, 0.560661576f, + 0.824589303f, 0.565731811f, + 0.821102515f, 0.570780746f, + 0.817584813f, 0.575808191f, + 0.814036330f, 0.580813958f, + 0.810457198f, 0.585797857f, + 0.806847554f, 0.590759702f, + 0.803207531f, 0.595699304f, + 0.799537269f, 0.600616479f, + 0.795836905f, 0.605511041f, + 0.792106577f, 0.610382806f, + 0.788346428f, 0.615231591f, + 0.784556597f, 0.620057212f, + 0.780737229f, 0.624859488f, + 0.776888466f, 0.629638239f, + 0.773010453f, 0.634393284f, + 0.769103338f, 0.639124445f, + 0.765167266f, 0.643831543f, + 0.761202385f, 0.648514401f, + 0.757208847f, 0.653172843f, + 0.753186799f, 0.657806693f, + 0.749136395f, 0.662415778f, + 0.745057785f, 0.666999922f, + 0.740951125f, 0.671558955f, + 0.736816569f, 0.676092704f, + 0.732654272f, 0.680600998f, + 0.728464390f, 0.685083668f, + 0.724247083f, 0.689540545f, + 0.720002508f, 0.693971461f, + 0.715730825f, 0.698376249f, + 0.711432196f, 0.702754744f, + 0.707106781f, 0.707106781f, + 0.702754744f, 0.711432196f, + 0.698376249f, 0.715730825f, + 0.693971461f, 0.720002508f, + 0.689540545f, 0.724247083f, + 0.685083668f, 0.728464390f, + 0.680600998f, 0.732654272f, + 0.676092704f, 0.736816569f, + 0.671558955f, 0.740951125f, + 0.666999922f, 0.745057785f, + 0.662415778f, 0.749136395f, + 0.657806693f, 0.753186799f, + 0.653172843f, 0.757208847f, + 0.648514401f, 0.761202385f, + 0.643831543f, 0.765167266f, + 0.639124445f, 0.769103338f, + 0.634393284f, 0.773010453f, + 0.629638239f, 0.776888466f, + 0.624859488f, 0.780737229f, + 0.620057212f, 0.784556597f, + 0.615231591f, 0.788346428f, + 0.610382806f, 0.792106577f, + 0.605511041f, 0.795836905f, + 0.600616479f, 0.799537269f, + 0.595699304f, 0.803207531f, + 0.590759702f, 0.806847554f, + 0.585797857f, 0.810457198f, + 0.580813958f, 0.814036330f, + 0.575808191f, 0.817584813f, + 0.570780746f, 0.821102515f, + 0.565731811f, 0.824589303f, + 0.560661576f, 0.828045045f, + 0.555570233f, 0.831469612f, + 0.550457973f, 0.834862875f, + 0.545324988f, 0.838224706f, + 0.540171473f, 0.841554977f, + 0.534997620f, 0.844853565f, + 0.529803625f, 0.848120345f, + 0.524589683f, 0.851355193f, + 0.519355990f, 0.854557988f, + 0.514102744f, 0.857728610f, + 0.508830143f, 0.860866939f, + 0.503538384f, 0.863972856f, + 0.498227667f, 0.867046246f, + 0.492898192f, 0.870086991f, + 0.487550160f, 0.873094978f, + 0.482183772f, 0.876070094f, + 0.476799230f, 0.879012226f, + 0.471396737f, 0.881921264f, + 0.465976496f, 0.884797098f, + 0.460538711f, 0.887639620f, + 0.455083587f, 0.890448723f, + 0.449611330f, 0.893224301f, + 0.444122145f, 0.895966250f, + 0.438616239f, 0.898674466f, + 0.433093819f, 0.901348847f, + 0.427555093f, 0.903989293f, + 0.422000271f, 0.906595705f, + 0.416429560f, 0.909167983f, + 0.410843171f, 0.911706032f, + 0.405241314f, 0.914209756f, + 0.399624200f, 0.916679060f, + 0.393992040f, 0.919113852f, + 0.388345047f, 0.921514039f, + 0.382683432f, 0.923879533f, + 0.377007410f, 0.926210242f, + 0.371317194f, 0.928506080f, + 0.365612998f, 0.930766961f, + 0.359895037f, 0.932992799f, + 0.354163525f, 0.935183510f, + 0.348418680f, 0.937339012f, + 0.342660717f, 0.939459224f, + 0.336889853f, 0.941544065f, + 0.331106306f, 0.943593458f, + 0.325310292f, 0.945607325f, + 0.319502031f, 0.947585591f, + 0.313681740f, 0.949528181f, + 0.307849640f, 0.951435021f, + 0.302005949f, 0.953306040f, + 0.296150888f, 0.955141168f, + 0.290284677f, 0.956940336f, + 0.284407537f, 0.958703475f, + 0.278519689f, 0.960430519f, + 0.272621355f, 0.962121404f, + 0.266712757f, 0.963776066f, + 0.260794118f, 0.965394442f, + 0.254865660f, 0.966976471f, + 0.248927606f, 0.968522094f, + 0.242980180f, 0.970031253f, + 0.237023606f, 0.971503891f, + 0.231058108f, 0.972939952f, + 0.225083911f, 0.974339383f, + 0.219101240f, 0.975702130f, + 0.213110320f, 0.977028143f, + 0.207111376f, 0.978317371f, + 0.201104635f, 0.979569766f, + 0.195090322f, 0.980785280f, + 0.189068664f, 0.981963869f, + 0.183039888f, 0.983105487f, + 0.177004220f, 0.984210092f, + 0.170961889f, 0.985277642f, + 0.164913120f, 0.986308097f, + 0.158858143f, 0.987301418f, + 0.152797185f, 0.988257568f, + 0.146730474f, 0.989176510f, + 0.140658239f, 0.990058210f, + 0.134580709f, 0.990902635f, + 0.128498111f, 0.991709754f, + 0.122410675f, 0.992479535f, + 0.116318631f, 0.993211949f, + 0.110222207f, 0.993906970f, + 0.104121634f, 0.994564571f, + 0.098017140f, 0.995184727f, + 0.091908956f, 0.995767414f, + 0.085797312f, 0.996312612f, + 0.079682438f, 0.996820299f, + 0.073564564f, 0.997290457f, + 0.067443920f, 0.997723067f, + 0.061320736f, 0.998118113f, + 0.055195244f, 0.998475581f, + 0.049067674f, 0.998795456f, + 0.042938257f, 0.999077728f, + 0.036807223f, 0.999322385f, + 0.030674803f, 0.999529418f, + 0.024541229f, 0.999698819f, + 0.018406730f, 0.999830582f, + 0.012271538f, 0.999924702f, + 0.006135885f, 0.999981175f, + 0.000000000f, 1.000000000f, + -0.006135885f, 0.999981175f, + -0.012271538f, 0.999924702f, + -0.018406730f, 0.999830582f, + -0.024541229f, 0.999698819f, + -0.030674803f, 0.999529418f, + -0.036807223f, 0.999322385f, + -0.042938257f, 0.999077728f, + -0.049067674f, 0.998795456f, + -0.055195244f, 0.998475581f, + -0.061320736f, 0.998118113f, + -0.067443920f, 0.997723067f, + -0.073564564f, 0.997290457f, + -0.079682438f, 0.996820299f, + -0.085797312f, 0.996312612f, + -0.091908956f, 0.995767414f, + -0.098017140f, 0.995184727f, + -0.104121634f, 0.994564571f, + -0.110222207f, 0.993906970f, + -0.116318631f, 0.993211949f, + -0.122410675f, 0.992479535f, + -0.128498111f, 0.991709754f, + -0.134580709f, 0.990902635f, + -0.140658239f, 0.990058210f, + -0.146730474f, 0.989176510f, + -0.152797185f, 0.988257568f, + -0.158858143f, 0.987301418f, + -0.164913120f, 0.986308097f, + -0.170961889f, 0.985277642f, + -0.177004220f, 0.984210092f, + -0.183039888f, 0.983105487f, + -0.189068664f, 0.981963869f, + -0.195090322f, 0.980785280f, + -0.201104635f, 0.979569766f, + -0.207111376f, 0.978317371f, + -0.213110320f, 0.977028143f, + -0.219101240f, 0.975702130f, + -0.225083911f, 0.974339383f, + -0.231058108f, 0.972939952f, + -0.237023606f, 0.971503891f, + -0.242980180f, 0.970031253f, + -0.248927606f, 0.968522094f, + -0.254865660f, 0.966976471f, + -0.260794118f, 0.965394442f, + -0.266712757f, 0.963776066f, + -0.272621355f, 0.962121404f, + -0.278519689f, 0.960430519f, + -0.284407537f, 0.958703475f, + -0.290284677f, 0.956940336f, + -0.296150888f, 0.955141168f, + -0.302005949f, 0.953306040f, + -0.307849640f, 0.951435021f, + -0.313681740f, 0.949528181f, + -0.319502031f, 0.947585591f, + -0.325310292f, 0.945607325f, + -0.331106306f, 0.943593458f, + -0.336889853f, 0.941544065f, + -0.342660717f, 0.939459224f, + -0.348418680f, 0.937339012f, + -0.354163525f, 0.935183510f, + -0.359895037f, 0.932992799f, + -0.365612998f, 0.930766961f, + -0.371317194f, 0.928506080f, + -0.377007410f, 0.926210242f, + -0.382683432f, 0.923879533f, + -0.388345047f, 0.921514039f, + -0.393992040f, 0.919113852f, + -0.399624200f, 0.916679060f, + -0.405241314f, 0.914209756f, + -0.410843171f, 0.911706032f, + -0.416429560f, 0.909167983f, + -0.422000271f, 0.906595705f, + -0.427555093f, 0.903989293f, + -0.433093819f, 0.901348847f, + -0.438616239f, 0.898674466f, + -0.444122145f, 0.895966250f, + -0.449611330f, 0.893224301f, + -0.455083587f, 0.890448723f, + -0.460538711f, 0.887639620f, + -0.465976496f, 0.884797098f, + -0.471396737f, 0.881921264f, + -0.476799230f, 0.879012226f, + -0.482183772f, 0.876070094f, + -0.487550160f, 0.873094978f, + -0.492898192f, 0.870086991f, + -0.498227667f, 0.867046246f, + -0.503538384f, 0.863972856f, + -0.508830143f, 0.860866939f, + -0.514102744f, 0.857728610f, + -0.519355990f, 0.854557988f, + -0.524589683f, 0.851355193f, + -0.529803625f, 0.848120345f, + -0.534997620f, 0.844853565f, + -0.540171473f, 0.841554977f, + -0.545324988f, 0.838224706f, + -0.550457973f, 0.834862875f, + -0.555570233f, 0.831469612f, + -0.560661576f, 0.828045045f, + -0.565731811f, 0.824589303f, + -0.570780746f, 0.821102515f, + -0.575808191f, 0.817584813f, + -0.580813958f, 0.814036330f, + -0.585797857f, 0.810457198f, + -0.590759702f, 0.806847554f, + -0.595699304f, 0.803207531f, + -0.600616479f, 0.799537269f, + -0.605511041f, 0.795836905f, + -0.610382806f, 0.792106577f, + -0.615231591f, 0.788346428f, + -0.620057212f, 0.784556597f, + -0.624859488f, 0.780737229f, + -0.629638239f, 0.776888466f, + -0.634393284f, 0.773010453f, + -0.639124445f, 0.769103338f, + -0.643831543f, 0.765167266f, + -0.648514401f, 0.761202385f, + -0.653172843f, 0.757208847f, + -0.657806693f, 0.753186799f, + -0.662415778f, 0.749136395f, + -0.666999922f, 0.745057785f, + -0.671558955f, 0.740951125f, + -0.676092704f, 0.736816569f, + -0.680600998f, 0.732654272f, + -0.685083668f, 0.728464390f, + -0.689540545f, 0.724247083f, + -0.693971461f, 0.720002508f, + -0.698376249f, 0.715730825f, + -0.702754744f, 0.711432196f, + -0.707106781f, 0.707106781f, + -0.711432196f, 0.702754744f, + -0.715730825f, 0.698376249f, + -0.720002508f, 0.693971461f, + -0.724247083f, 0.689540545f, + -0.728464390f, 0.685083668f, + -0.732654272f, 0.680600998f, + -0.736816569f, 0.676092704f, + -0.740951125f, 0.671558955f, + -0.745057785f, 0.666999922f, + -0.749136395f, 0.662415778f, + -0.753186799f, 0.657806693f, + -0.757208847f, 0.653172843f, + -0.761202385f, 0.648514401f, + -0.765167266f, 0.643831543f, + -0.769103338f, 0.639124445f, + -0.773010453f, 0.634393284f, + -0.776888466f, 0.629638239f, + -0.780737229f, 0.624859488f, + -0.784556597f, 0.620057212f, + -0.788346428f, 0.615231591f, + -0.792106577f, 0.610382806f, + -0.795836905f, 0.605511041f, + -0.799537269f, 0.600616479f, + -0.803207531f, 0.595699304f, + -0.806847554f, 0.590759702f, + -0.810457198f, 0.585797857f, + -0.814036330f, 0.580813958f, + -0.817584813f, 0.575808191f, + -0.821102515f, 0.570780746f, + -0.824589303f, 0.565731811f, + -0.828045045f, 0.560661576f, + -0.831469612f, 0.555570233f, + -0.834862875f, 0.550457973f, + -0.838224706f, 0.545324988f, + -0.841554977f, 0.540171473f, + -0.844853565f, 0.534997620f, + -0.848120345f, 0.529803625f, + -0.851355193f, 0.524589683f, + -0.854557988f, 0.519355990f, + -0.857728610f, 0.514102744f, + -0.860866939f, 0.508830143f, + -0.863972856f, 0.503538384f, + -0.867046246f, 0.498227667f, + -0.870086991f, 0.492898192f, + -0.873094978f, 0.487550160f, + -0.876070094f, 0.482183772f, + -0.879012226f, 0.476799230f, + -0.881921264f, 0.471396737f, + -0.884797098f, 0.465976496f, + -0.887639620f, 0.460538711f, + -0.890448723f, 0.455083587f, + -0.893224301f, 0.449611330f, + -0.895966250f, 0.444122145f, + -0.898674466f, 0.438616239f, + -0.901348847f, 0.433093819f, + -0.903989293f, 0.427555093f, + -0.906595705f, 0.422000271f, + -0.909167983f, 0.416429560f, + -0.911706032f, 0.410843171f, + -0.914209756f, 0.405241314f, + -0.916679060f, 0.399624200f, + -0.919113852f, 0.393992040f, + -0.921514039f, 0.388345047f, + -0.923879533f, 0.382683432f, + -0.926210242f, 0.377007410f, + -0.928506080f, 0.371317194f, + -0.930766961f, 0.365612998f, + -0.932992799f, 0.359895037f, + -0.935183510f, 0.354163525f, + -0.937339012f, 0.348418680f, + -0.939459224f, 0.342660717f, + -0.941544065f, 0.336889853f, + -0.943593458f, 0.331106306f, + -0.945607325f, 0.325310292f, + -0.947585591f, 0.319502031f, + -0.949528181f, 0.313681740f, + -0.951435021f, 0.307849640f, + -0.953306040f, 0.302005949f, + -0.955141168f, 0.296150888f, + -0.956940336f, 0.290284677f, + -0.958703475f, 0.284407537f, + -0.960430519f, 0.278519689f, + -0.962121404f, 0.272621355f, + -0.963776066f, 0.266712757f, + -0.965394442f, 0.260794118f, + -0.966976471f, 0.254865660f, + -0.968522094f, 0.248927606f, + -0.970031253f, 0.242980180f, + -0.971503891f, 0.237023606f, + -0.972939952f, 0.231058108f, + -0.974339383f, 0.225083911f, + -0.975702130f, 0.219101240f, + -0.977028143f, 0.213110320f, + -0.978317371f, 0.207111376f, + -0.979569766f, 0.201104635f, + -0.980785280f, 0.195090322f, + -0.981963869f, 0.189068664f, + -0.983105487f, 0.183039888f, + -0.984210092f, 0.177004220f, + -0.985277642f, 0.170961889f, + -0.986308097f, 0.164913120f, + -0.987301418f, 0.158858143f, + -0.988257568f, 0.152797185f, + -0.989176510f, 0.146730474f, + -0.990058210f, 0.140658239f, + -0.990902635f, 0.134580709f, + -0.991709754f, 0.128498111f, + -0.992479535f, 0.122410675f, + -0.993211949f, 0.116318631f, + -0.993906970f, 0.110222207f, + -0.994564571f, 0.104121634f, + -0.995184727f, 0.098017140f, + -0.995767414f, 0.091908956f, + -0.996312612f, 0.085797312f, + -0.996820299f, 0.079682438f, + -0.997290457f, 0.073564564f, + -0.997723067f, 0.067443920f, + -0.998118113f, 0.061320736f, + -0.998475581f, 0.055195244f, + -0.998795456f, 0.049067674f, + -0.999077728f, 0.042938257f, + -0.999322385f, 0.036807223f, + -0.999529418f, 0.030674803f, + -0.999698819f, 0.024541229f, + -0.999830582f, 0.018406730f, + -0.999924702f, 0.012271538f, + -0.999981175f, 0.006135885f, + -1.000000000f, 0.000000000f, + -0.999981175f, -0.006135885f, + -0.999924702f, -0.012271538f, + -0.999830582f, -0.018406730f, + -0.999698819f, -0.024541229f, + -0.999529418f, -0.030674803f, + -0.999322385f, -0.036807223f, + -0.999077728f, -0.042938257f, + -0.998795456f, -0.049067674f, + -0.998475581f, -0.055195244f, + -0.998118113f, -0.061320736f, + -0.997723067f, -0.067443920f, + -0.997290457f, -0.073564564f, + -0.996820299f, -0.079682438f, + -0.996312612f, -0.085797312f, + -0.995767414f, -0.091908956f, + -0.995184727f, -0.098017140f, + -0.994564571f, -0.104121634f, + -0.993906970f, -0.110222207f, + -0.993211949f, -0.116318631f, + -0.992479535f, -0.122410675f, + -0.991709754f, -0.128498111f, + -0.990902635f, -0.134580709f, + -0.990058210f, -0.140658239f, + -0.989176510f, -0.146730474f, + -0.988257568f, -0.152797185f, + -0.987301418f, -0.158858143f, + -0.986308097f, -0.164913120f, + -0.985277642f, -0.170961889f, + -0.984210092f, -0.177004220f, + -0.983105487f, -0.183039888f, + -0.981963869f, -0.189068664f, + -0.980785280f, -0.195090322f, + -0.979569766f, -0.201104635f, + -0.978317371f, -0.207111376f, + -0.977028143f, -0.213110320f, + -0.975702130f, -0.219101240f, + -0.974339383f, -0.225083911f, + -0.972939952f, -0.231058108f, + -0.971503891f, -0.237023606f, + -0.970031253f, -0.242980180f, + -0.968522094f, -0.248927606f, + -0.966976471f, -0.254865660f, + -0.965394442f, -0.260794118f, + -0.963776066f, -0.266712757f, + -0.962121404f, -0.272621355f, + -0.960430519f, -0.278519689f, + -0.958703475f, -0.284407537f, + -0.956940336f, -0.290284677f, + -0.955141168f, -0.296150888f, + -0.953306040f, -0.302005949f, + -0.951435021f, -0.307849640f, + -0.949528181f, -0.313681740f, + -0.947585591f, -0.319502031f, + -0.945607325f, -0.325310292f, + -0.943593458f, -0.331106306f, + -0.941544065f, -0.336889853f, + -0.939459224f, -0.342660717f, + -0.937339012f, -0.348418680f, + -0.935183510f, -0.354163525f, + -0.932992799f, -0.359895037f, + -0.930766961f, -0.365612998f, + -0.928506080f, -0.371317194f, + -0.926210242f, -0.377007410f, + -0.923879533f, -0.382683432f, + -0.921514039f, -0.388345047f, + -0.919113852f, -0.393992040f, + -0.916679060f, -0.399624200f, + -0.914209756f, -0.405241314f, + -0.911706032f, -0.410843171f, + -0.909167983f, -0.416429560f, + -0.906595705f, -0.422000271f, + -0.903989293f, -0.427555093f, + -0.901348847f, -0.433093819f, + -0.898674466f, -0.438616239f, + -0.895966250f, -0.444122145f, + -0.893224301f, -0.449611330f, + -0.890448723f, -0.455083587f, + -0.887639620f, -0.460538711f, + -0.884797098f, -0.465976496f, + -0.881921264f, -0.471396737f, + -0.879012226f, -0.476799230f, + -0.876070094f, -0.482183772f, + -0.873094978f, -0.487550160f, + -0.870086991f, -0.492898192f, + -0.867046246f, -0.498227667f, + -0.863972856f, -0.503538384f, + -0.860866939f, -0.508830143f, + -0.857728610f, -0.514102744f, + -0.854557988f, -0.519355990f, + -0.851355193f, -0.524589683f, + -0.848120345f, -0.529803625f, + -0.844853565f, -0.534997620f, + -0.841554977f, -0.540171473f, + -0.838224706f, -0.545324988f, + -0.834862875f, -0.550457973f, + -0.831469612f, -0.555570233f, + -0.828045045f, -0.560661576f, + -0.824589303f, -0.565731811f, + -0.821102515f, -0.570780746f, + -0.817584813f, -0.575808191f, + -0.814036330f, -0.580813958f, + -0.810457198f, -0.585797857f, + -0.806847554f, -0.590759702f, + -0.803207531f, -0.595699304f, + -0.799537269f, -0.600616479f, + -0.795836905f, -0.605511041f, + -0.792106577f, -0.610382806f, + -0.788346428f, -0.615231591f, + -0.784556597f, -0.620057212f, + -0.780737229f, -0.624859488f, + -0.776888466f, -0.629638239f, + -0.773010453f, -0.634393284f, + -0.769103338f, -0.639124445f, + -0.765167266f, -0.643831543f, + -0.761202385f, -0.648514401f, + -0.757208847f, -0.653172843f, + -0.753186799f, -0.657806693f, + -0.749136395f, -0.662415778f, + -0.745057785f, -0.666999922f, + -0.740951125f, -0.671558955f, + -0.736816569f, -0.676092704f, + -0.732654272f, -0.680600998f, + -0.728464390f, -0.685083668f, + -0.724247083f, -0.689540545f, + -0.720002508f, -0.693971461f, + -0.715730825f, -0.698376249f, + -0.711432196f, -0.702754744f, + -0.707106781f, -0.707106781f, + -0.702754744f, -0.711432196f, + -0.698376249f, -0.715730825f, + -0.693971461f, -0.720002508f, + -0.689540545f, -0.724247083f, + -0.685083668f, -0.728464390f, + -0.680600998f, -0.732654272f, + -0.676092704f, -0.736816569f, + -0.671558955f, -0.740951125f, + -0.666999922f, -0.745057785f, + -0.662415778f, -0.749136395f, + -0.657806693f, -0.753186799f, + -0.653172843f, -0.757208847f, + -0.648514401f, -0.761202385f, + -0.643831543f, -0.765167266f, + -0.639124445f, -0.769103338f, + -0.634393284f, -0.773010453f, + -0.629638239f, -0.776888466f, + -0.624859488f, -0.780737229f, + -0.620057212f, -0.784556597f, + -0.615231591f, -0.788346428f, + -0.610382806f, -0.792106577f, + -0.605511041f, -0.795836905f, + -0.600616479f, -0.799537269f, + -0.595699304f, -0.803207531f, + -0.590759702f, -0.806847554f, + -0.585797857f, -0.810457198f, + -0.580813958f, -0.814036330f, + -0.575808191f, -0.817584813f, + -0.570780746f, -0.821102515f, + -0.565731811f, -0.824589303f, + -0.560661576f, -0.828045045f, + -0.555570233f, -0.831469612f, + -0.550457973f, -0.834862875f, + -0.545324988f, -0.838224706f, + -0.540171473f, -0.841554977f, + -0.534997620f, -0.844853565f, + -0.529803625f, -0.848120345f, + -0.524589683f, -0.851355193f, + -0.519355990f, -0.854557988f, + -0.514102744f, -0.857728610f, + -0.508830143f, -0.860866939f, + -0.503538384f, -0.863972856f, + -0.498227667f, -0.867046246f, + -0.492898192f, -0.870086991f, + -0.487550160f, -0.873094978f, + -0.482183772f, -0.876070094f, + -0.476799230f, -0.879012226f, + -0.471396737f, -0.881921264f, + -0.465976496f, -0.884797098f, + -0.460538711f, -0.887639620f, + -0.455083587f, -0.890448723f, + -0.449611330f, -0.893224301f, + -0.444122145f, -0.895966250f, + -0.438616239f, -0.898674466f, + -0.433093819f, -0.901348847f, + -0.427555093f, -0.903989293f, + -0.422000271f, -0.906595705f, + -0.416429560f, -0.909167983f, + -0.410843171f, -0.911706032f, + -0.405241314f, -0.914209756f, + -0.399624200f, -0.916679060f, + -0.393992040f, -0.919113852f, + -0.388345047f, -0.921514039f, + -0.382683432f, -0.923879533f, + -0.377007410f, -0.926210242f, + -0.371317194f, -0.928506080f, + -0.365612998f, -0.930766961f, + -0.359895037f, -0.932992799f, + -0.354163525f, -0.935183510f, + -0.348418680f, -0.937339012f, + -0.342660717f, -0.939459224f, + -0.336889853f, -0.941544065f, + -0.331106306f, -0.943593458f, + -0.325310292f, -0.945607325f, + -0.319502031f, -0.947585591f, + -0.313681740f, -0.949528181f, + -0.307849640f, -0.951435021f, + -0.302005949f, -0.953306040f, + -0.296150888f, -0.955141168f, + -0.290284677f, -0.956940336f, + -0.284407537f, -0.958703475f, + -0.278519689f, -0.960430519f, + -0.272621355f, -0.962121404f, + -0.266712757f, -0.963776066f, + -0.260794118f, -0.965394442f, + -0.254865660f, -0.966976471f, + -0.248927606f, -0.968522094f, + -0.242980180f, -0.970031253f, + -0.237023606f, -0.971503891f, + -0.231058108f, -0.972939952f, + -0.225083911f, -0.974339383f, + -0.219101240f, -0.975702130f, + -0.213110320f, -0.977028143f, + -0.207111376f, -0.978317371f, + -0.201104635f, -0.979569766f, + -0.195090322f, -0.980785280f, + -0.189068664f, -0.981963869f, + -0.183039888f, -0.983105487f, + -0.177004220f, -0.984210092f, + -0.170961889f, -0.985277642f, + -0.164913120f, -0.986308097f, + -0.158858143f, -0.987301418f, + -0.152797185f, -0.988257568f, + -0.146730474f, -0.989176510f, + -0.140658239f, -0.990058210f, + -0.134580709f, -0.990902635f, + -0.128498111f, -0.991709754f, + -0.122410675f, -0.992479535f, + -0.116318631f, -0.993211949f, + -0.110222207f, -0.993906970f, + -0.104121634f, -0.994564571f, + -0.098017140f, -0.995184727f, + -0.091908956f, -0.995767414f, + -0.085797312f, -0.996312612f, + -0.079682438f, -0.996820299f, + -0.073564564f, -0.997290457f, + -0.067443920f, -0.997723067f, + -0.061320736f, -0.998118113f, + -0.055195244f, -0.998475581f, + -0.049067674f, -0.998795456f, + -0.042938257f, -0.999077728f, + -0.036807223f, -0.999322385f, + -0.030674803f, -0.999529418f, + -0.024541229f, -0.999698819f, + -0.018406730f, -0.999830582f, + -0.012271538f, -0.999924702f, + -0.006135885f, -0.999981175f, + -0.000000000f, -1.000000000f, + 0.006135885f, -0.999981175f, + 0.012271538f, -0.999924702f, + 0.018406730f, -0.999830582f, + 0.024541229f, -0.999698819f, + 0.030674803f, -0.999529418f, + 0.036807223f, -0.999322385f, + 0.042938257f, -0.999077728f, + 0.049067674f, -0.998795456f, + 0.055195244f, -0.998475581f, + 0.061320736f, -0.998118113f, + 0.067443920f, -0.997723067f, + 0.073564564f, -0.997290457f, + 0.079682438f, -0.996820299f, + 0.085797312f, -0.996312612f, + 0.091908956f, -0.995767414f, + 0.098017140f, -0.995184727f, + 0.104121634f, -0.994564571f, + 0.110222207f, -0.993906970f, + 0.116318631f, -0.993211949f, + 0.122410675f, -0.992479535f, + 0.128498111f, -0.991709754f, + 0.134580709f, -0.990902635f, + 0.140658239f, -0.990058210f, + 0.146730474f, -0.989176510f, + 0.152797185f, -0.988257568f, + 0.158858143f, -0.987301418f, + 0.164913120f, -0.986308097f, + 0.170961889f, -0.985277642f, + 0.177004220f, -0.984210092f, + 0.183039888f, -0.983105487f, + 0.189068664f, -0.981963869f, + 0.195090322f, -0.980785280f, + 0.201104635f, -0.979569766f, + 0.207111376f, -0.978317371f, + 0.213110320f, -0.977028143f, + 0.219101240f, -0.975702130f, + 0.225083911f, -0.974339383f, + 0.231058108f, -0.972939952f, + 0.237023606f, -0.971503891f, + 0.242980180f, -0.970031253f, + 0.248927606f, -0.968522094f, + 0.254865660f, -0.966976471f, + 0.260794118f, -0.965394442f, + 0.266712757f, -0.963776066f, + 0.272621355f, -0.962121404f, + 0.278519689f, -0.960430519f, + 0.284407537f, -0.958703475f, + 0.290284677f, -0.956940336f, + 0.296150888f, -0.955141168f, + 0.302005949f, -0.953306040f, + 0.307849640f, -0.951435021f, + 0.313681740f, -0.949528181f, + 0.319502031f, -0.947585591f, + 0.325310292f, -0.945607325f, + 0.331106306f, -0.943593458f, + 0.336889853f, -0.941544065f, + 0.342660717f, -0.939459224f, + 0.348418680f, -0.937339012f, + 0.354163525f, -0.935183510f, + 0.359895037f, -0.932992799f, + 0.365612998f, -0.930766961f, + 0.371317194f, -0.928506080f, + 0.377007410f, -0.926210242f, + 0.382683432f, -0.923879533f, + 0.388345047f, -0.921514039f, + 0.393992040f, -0.919113852f, + 0.399624200f, -0.916679060f, + 0.405241314f, -0.914209756f, + 0.410843171f, -0.911706032f, + 0.416429560f, -0.909167983f, + 0.422000271f, -0.906595705f, + 0.427555093f, -0.903989293f, + 0.433093819f, -0.901348847f, + 0.438616239f, -0.898674466f, + 0.444122145f, -0.895966250f, + 0.449611330f, -0.893224301f, + 0.455083587f, -0.890448723f, + 0.460538711f, -0.887639620f, + 0.465976496f, -0.884797098f, + 0.471396737f, -0.881921264f, + 0.476799230f, -0.879012226f, + 0.482183772f, -0.876070094f, + 0.487550160f, -0.873094978f, + 0.492898192f, -0.870086991f, + 0.498227667f, -0.867046246f, + 0.503538384f, -0.863972856f, + 0.508830143f, -0.860866939f, + 0.514102744f, -0.857728610f, + 0.519355990f, -0.854557988f, + 0.524589683f, -0.851355193f, + 0.529803625f, -0.848120345f, + 0.534997620f, -0.844853565f, + 0.540171473f, -0.841554977f, + 0.545324988f, -0.838224706f, + 0.550457973f, -0.834862875f, + 0.555570233f, -0.831469612f, + 0.560661576f, -0.828045045f, + 0.565731811f, -0.824589303f, + 0.570780746f, -0.821102515f, + 0.575808191f, -0.817584813f, + 0.580813958f, -0.814036330f, + 0.585797857f, -0.810457198f, + 0.590759702f, -0.806847554f, + 0.595699304f, -0.803207531f, + 0.600616479f, -0.799537269f, + 0.605511041f, -0.795836905f, + 0.610382806f, -0.792106577f, + 0.615231591f, -0.788346428f, + 0.620057212f, -0.784556597f, + 0.624859488f, -0.780737229f, + 0.629638239f, -0.776888466f, + 0.634393284f, -0.773010453f, + 0.639124445f, -0.769103338f, + 0.643831543f, -0.765167266f, + 0.648514401f, -0.761202385f, + 0.653172843f, -0.757208847f, + 0.657806693f, -0.753186799f, + 0.662415778f, -0.749136395f, + 0.666999922f, -0.745057785f, + 0.671558955f, -0.740951125f, + 0.676092704f, -0.736816569f, + 0.680600998f, -0.732654272f, + 0.685083668f, -0.728464390f, + 0.689540545f, -0.724247083f, + 0.693971461f, -0.720002508f, + 0.698376249f, -0.715730825f, + 0.702754744f, -0.711432196f, + 0.707106781f, -0.707106781f, + 0.711432196f, -0.702754744f, + 0.715730825f, -0.698376249f, + 0.720002508f, -0.693971461f, + 0.724247083f, -0.689540545f, + 0.728464390f, -0.685083668f, + 0.732654272f, -0.680600998f, + 0.736816569f, -0.676092704f, + 0.740951125f, -0.671558955f, + 0.745057785f, -0.666999922f, + 0.749136395f, -0.662415778f, + 0.753186799f, -0.657806693f, + 0.757208847f, -0.653172843f, + 0.761202385f, -0.648514401f, + 0.765167266f, -0.643831543f, + 0.769103338f, -0.639124445f, + 0.773010453f, -0.634393284f, + 0.776888466f, -0.629638239f, + 0.780737229f, -0.624859488f, + 0.784556597f, -0.620057212f, + 0.788346428f, -0.615231591f, + 0.792106577f, -0.610382806f, + 0.795836905f, -0.605511041f, + 0.799537269f, -0.600616479f, + 0.803207531f, -0.595699304f, + 0.806847554f, -0.590759702f, + 0.810457198f, -0.585797857f, + 0.814036330f, -0.580813958f, + 0.817584813f, -0.575808191f, + 0.821102515f, -0.570780746f, + 0.824589303f, -0.565731811f, + 0.828045045f, -0.560661576f, + 0.831469612f, -0.555570233f, + 0.834862875f, -0.550457973f, + 0.838224706f, -0.545324988f, + 0.841554977f, -0.540171473f, + 0.844853565f, -0.534997620f, + 0.848120345f, -0.529803625f, + 0.851355193f, -0.524589683f, + 0.854557988f, -0.519355990f, + 0.857728610f, -0.514102744f, + 0.860866939f, -0.508830143f, + 0.863972856f, -0.503538384f, + 0.867046246f, -0.498227667f, + 0.870086991f, -0.492898192f, + 0.873094978f, -0.487550160f, + 0.876070094f, -0.482183772f, + 0.879012226f, -0.476799230f, + 0.881921264f, -0.471396737f, + 0.884797098f, -0.465976496f, + 0.887639620f, -0.460538711f, + 0.890448723f, -0.455083587f, + 0.893224301f, -0.449611330f, + 0.895966250f, -0.444122145f, + 0.898674466f, -0.438616239f, + 0.901348847f, -0.433093819f, + 0.903989293f, -0.427555093f, + 0.906595705f, -0.422000271f, + 0.909167983f, -0.416429560f, + 0.911706032f, -0.410843171f, + 0.914209756f, -0.405241314f, + 0.916679060f, -0.399624200f, + 0.919113852f, -0.393992040f, + 0.921514039f, -0.388345047f, + 0.923879533f, -0.382683432f, + 0.926210242f, -0.377007410f, + 0.928506080f, -0.371317194f, + 0.930766961f, -0.365612998f, + 0.932992799f, -0.359895037f, + 0.935183510f, -0.354163525f, + 0.937339012f, -0.348418680f, + 0.939459224f, -0.342660717f, + 0.941544065f, -0.336889853f, + 0.943593458f, -0.331106306f, + 0.945607325f, -0.325310292f, + 0.947585591f, -0.319502031f, + 0.949528181f, -0.313681740f, + 0.951435021f, -0.307849640f, + 0.953306040f, -0.302005949f, + 0.955141168f, -0.296150888f, + 0.956940336f, -0.290284677f, + 0.958703475f, -0.284407537f, + 0.960430519f, -0.278519689f, + 0.962121404f, -0.272621355f, + 0.963776066f, -0.266712757f, + 0.965394442f, -0.260794118f, + 0.966976471f, -0.254865660f, + 0.968522094f, -0.248927606f, + 0.970031253f, -0.242980180f, + 0.971503891f, -0.237023606f, + 0.972939952f, -0.231058108f, + 0.974339383f, -0.225083911f, + 0.975702130f, -0.219101240f, + 0.977028143f, -0.213110320f, + 0.978317371f, -0.207111376f, + 0.979569766f, -0.201104635f, + 0.980785280f, -0.195090322f, + 0.981963869f, -0.189068664f, + 0.983105487f, -0.183039888f, + 0.984210092f, -0.177004220f, + 0.985277642f, -0.170961889f, + 0.986308097f, -0.164913120f, + 0.987301418f, -0.158858143f, + 0.988257568f, -0.152797185f, + 0.989176510f, -0.146730474f, + 0.990058210f, -0.140658239f, + 0.990902635f, -0.134580709f, + 0.991709754f, -0.128498111f, + 0.992479535f, -0.122410675f, + 0.993211949f, -0.116318631f, + 0.993906970f, -0.110222207f, + 0.994564571f, -0.104121634f, + 0.995184727f, -0.098017140f, + 0.995767414f, -0.091908956f, + 0.996312612f, -0.085797312f, + 0.996820299f, -0.079682438f, + 0.997290457f, -0.073564564f, + 0.997723067f, -0.067443920f, + 0.998118113f, -0.061320736f, + 0.998475581f, -0.055195244f, + 0.998795456f, -0.049067674f, + 0.999077728f, -0.042938257f, + 0.999322385f, -0.036807223f, + 0.999529418f, -0.030674803f, + 0.999698819f, -0.024541229f, + 0.999830582f, -0.018406730f, + 0.999924702f, -0.012271538f, + 0.999981175f, -0.006135885f +}; + +/** +* \par +* Example code for Floating-point Twiddle factors Generation: +* \par +*
for(i = 0; i< N/; i++)
+* {
+*	twiddleCoef[2*i]= cos(i * 2*PI/(float)N);
+*	twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);
+* } 
+* \par +* where N = 2048 and PI = 3.14159265358979 +* \par +* Cos and Sin values are in interleaved fashion +* +*/ +const float32_t twiddleCoef_2048[4096] = { + 1.000000000f, 0.000000000f, + 0.999995294f, 0.003067957f, + 0.999981175f, 0.006135885f, + 0.999957645f, 0.009203755f, + 0.999924702f, 0.012271538f, + 0.999882347f, 0.015339206f, + 0.999830582f, 0.018406730f, + 0.999769405f, 0.021474080f, + 0.999698819f, 0.024541229f, + 0.999618822f, 0.027608146f, + 0.999529418f, 0.030674803f, + 0.999430605f, 0.033741172f, + 0.999322385f, 0.036807223f, + 0.999204759f, 0.039872928f, + 0.999077728f, 0.042938257f, + 0.998941293f, 0.046003182f, + 0.998795456f, 0.049067674f, + 0.998640218f, 0.052131705f, + 0.998475581f, 0.055195244f, + 0.998301545f, 0.058258265f, + 0.998118113f, 0.061320736f, + 0.997925286f, 0.064382631f, + 0.997723067f, 0.067443920f, + 0.997511456f, 0.070504573f, + 0.997290457f, 0.073564564f, + 0.997060070f, 0.076623861f, + 0.996820299f, 0.079682438f, + 0.996571146f, 0.082740265f, + 0.996312612f, 0.085797312f, + 0.996044701f, 0.088853553f, + 0.995767414f, 0.091908956f, + 0.995480755f, 0.094963495f, + 0.995184727f, 0.098017140f, + 0.994879331f, 0.101069863f, + 0.994564571f, 0.104121634f, + 0.994240449f, 0.107172425f, + 0.993906970f, 0.110222207f, + 0.993564136f, 0.113270952f, + 0.993211949f, 0.116318631f, + 0.992850414f, 0.119365215f, + 0.992479535f, 0.122410675f, + 0.992099313f, 0.125454983f, + 0.991709754f, 0.128498111f, + 0.991310860f, 0.131540029f, + 0.990902635f, 0.134580709f, + 0.990485084f, 0.137620122f, + 0.990058210f, 0.140658239f, + 0.989622017f, 0.143695033f, + 0.989176510f, 0.146730474f, + 0.988721692f, 0.149764535f, + 0.988257568f, 0.152797185f, + 0.987784142f, 0.155828398f, + 0.987301418f, 0.158858143f, + 0.986809402f, 0.161886394f, + 0.986308097f, 0.164913120f, + 0.985797509f, 0.167938295f, + 0.985277642f, 0.170961889f, + 0.984748502f, 0.173983873f, + 0.984210092f, 0.177004220f, + 0.983662419f, 0.180022901f, + 0.983105487f, 0.183039888f, + 0.982539302f, 0.186055152f, + 0.981963869f, 0.189068664f, + 0.981379193f, 0.192080397f, + 0.980785280f, 0.195090322f, + 0.980182136f, 0.198098411f, + 0.979569766f, 0.201104635f, + 0.978948175f, 0.204108966f, + 0.978317371f, 0.207111376f, + 0.977677358f, 0.210111837f, + 0.977028143f, 0.213110320f, + 0.976369731f, 0.216106797f, + 0.975702130f, 0.219101240f, + 0.975025345f, 0.222093621f, + 0.974339383f, 0.225083911f, + 0.973644250f, 0.228072083f, + 0.972939952f, 0.231058108f, + 0.972226497f, 0.234041959f, + 0.971503891f, 0.237023606f, + 0.970772141f, 0.240003022f, + 0.970031253f, 0.242980180f, + 0.969281235f, 0.245955050f, + 0.968522094f, 0.248927606f, + 0.967753837f, 0.251897818f, + 0.966976471f, 0.254865660f, + 0.966190003f, 0.257831102f, + 0.965394442f, 0.260794118f, + 0.964589793f, 0.263754679f, + 0.963776066f, 0.266712757f, + 0.962953267f, 0.269668326f, + 0.962121404f, 0.272621355f, + 0.961280486f, 0.275571819f, + 0.960430519f, 0.278519689f, + 0.959571513f, 0.281464938f, + 0.958703475f, 0.284407537f, + 0.957826413f, 0.287347460f, + 0.956940336f, 0.290284677f, + 0.956045251f, 0.293219163f, + 0.955141168f, 0.296150888f, + 0.954228095f, 0.299079826f, + 0.953306040f, 0.302005949f, + 0.952375013f, 0.304929230f, + 0.951435021f, 0.307849640f, + 0.950486074f, 0.310767153f, + 0.949528181f, 0.313681740f, + 0.948561350f, 0.316593376f, + 0.947585591f, 0.319502031f, + 0.946600913f, 0.322407679f, + 0.945607325f, 0.325310292f, + 0.944604837f, 0.328209844f, + 0.943593458f, 0.331106306f, + 0.942573198f, 0.333999651f, + 0.941544065f, 0.336889853f, + 0.940506071f, 0.339776884f, + 0.939459224f, 0.342660717f, + 0.938403534f, 0.345541325f, + 0.937339012f, 0.348418680f, + 0.936265667f, 0.351292756f, + 0.935183510f, 0.354163525f, + 0.934092550f, 0.357030961f, + 0.932992799f, 0.359895037f, + 0.931884266f, 0.362755724f, + 0.930766961f, 0.365612998f, + 0.929640896f, 0.368466830f, + 0.928506080f, 0.371317194f, + 0.927362526f, 0.374164063f, + 0.926210242f, 0.377007410f, + 0.925049241f, 0.379847209f, + 0.923879533f, 0.382683432f, + 0.922701128f, 0.385516054f, + 0.921514039f, 0.388345047f, + 0.920318277f, 0.391170384f, + 0.919113852f, 0.393992040f, + 0.917900776f, 0.396809987f, + 0.916679060f, 0.399624200f, + 0.915448716f, 0.402434651f, + 0.914209756f, 0.405241314f, + 0.912962190f, 0.408044163f, + 0.911706032f, 0.410843171f, + 0.910441292f, 0.413638312f, + 0.909167983f, 0.416429560f, + 0.907886116f, 0.419216888f, + 0.906595705f, 0.422000271f, + 0.905296759f, 0.424779681f, + 0.903989293f, 0.427555093f, + 0.902673318f, 0.430326481f, + 0.901348847f, 0.433093819f, + 0.900015892f, 0.435857080f, + 0.898674466f, 0.438616239f, + 0.897324581f, 0.441371269f, + 0.895966250f, 0.444122145f, + 0.894599486f, 0.446868840f, + 0.893224301f, 0.449611330f, + 0.891840709f, 0.452349587f, + 0.890448723f, 0.455083587f, + 0.889048356f, 0.457813304f, + 0.887639620f, 0.460538711f, + 0.886222530f, 0.463259784f, + 0.884797098f, 0.465976496f, + 0.883363339f, 0.468688822f, + 0.881921264f, 0.471396737f, + 0.880470889f, 0.474100215f, + 0.879012226f, 0.476799230f, + 0.877545290f, 0.479493758f, + 0.876070094f, 0.482183772f, + 0.874586652f, 0.484869248f, + 0.873094978f, 0.487550160f, + 0.871595087f, 0.490226483f, + 0.870086991f, 0.492898192f, + 0.868570706f, 0.495565262f, + 0.867046246f, 0.498227667f, + 0.865513624f, 0.500885383f, + 0.863972856f, 0.503538384f, + 0.862423956f, 0.506186645f, + 0.860866939f, 0.508830143f, + 0.859301818f, 0.511468850f, + 0.857728610f, 0.514102744f, + 0.856147328f, 0.516731799f, + 0.854557988f, 0.519355990f, + 0.852960605f, 0.521975293f, + 0.851355193f, 0.524589683f, + 0.849741768f, 0.527199135f, + 0.848120345f, 0.529803625f, + 0.846490939f, 0.532403128f, + 0.844853565f, 0.534997620f, + 0.843208240f, 0.537587076f, + 0.841554977f, 0.540171473f, + 0.839893794f, 0.542750785f, + 0.838224706f, 0.545324988f, + 0.836547727f, 0.547894059f, + 0.834862875f, 0.550457973f, + 0.833170165f, 0.553016706f, + 0.831469612f, 0.555570233f, + 0.829761234f, 0.558118531f, + 0.828045045f, 0.560661576f, + 0.826321063f, 0.563199344f, + 0.824589303f, 0.565731811f, + 0.822849781f, 0.568258953f, + 0.821102515f, 0.570780746f, + 0.819347520f, 0.573297167f, + 0.817584813f, 0.575808191f, + 0.815814411f, 0.578313796f, + 0.814036330f, 0.580813958f, + 0.812250587f, 0.583308653f, + 0.810457198f, 0.585797857f, + 0.808656182f, 0.588281548f, + 0.806847554f, 0.590759702f, + 0.805031331f, 0.593232295f, + 0.803207531f, 0.595699304f, + 0.801376172f, 0.598160707f, + 0.799537269f, 0.600616479f, + 0.797690841f, 0.603066599f, + 0.795836905f, 0.605511041f, + 0.793975478f, 0.607949785f, + 0.792106577f, 0.610382806f, + 0.790230221f, 0.612810082f, + 0.788346428f, 0.615231591f, + 0.786455214f, 0.617647308f, + 0.784556597f, 0.620057212f, + 0.782650596f, 0.622461279f, + 0.780737229f, 0.624859488f, + 0.778816512f, 0.627251815f, + 0.776888466f, 0.629638239f, + 0.774953107f, 0.632018736f, + 0.773010453f, 0.634393284f, + 0.771060524f, 0.636761861f, + 0.769103338f, 0.639124445f, + 0.767138912f, 0.641481013f, + 0.765167266f, 0.643831543f, + 0.763188417f, 0.646176013f, + 0.761202385f, 0.648514401f, + 0.759209189f, 0.650846685f, + 0.757208847f, 0.653172843f, + 0.755201377f, 0.655492853f, + 0.753186799f, 0.657806693f, + 0.751165132f, 0.660114342f, + 0.749136395f, 0.662415778f, + 0.747100606f, 0.664710978f, + 0.745057785f, 0.666999922f, + 0.743007952f, 0.669282588f, + 0.740951125f, 0.671558955f, + 0.738887324f, 0.673829000f, + 0.736816569f, 0.676092704f, + 0.734738878f, 0.678350043f, + 0.732654272f, 0.680600998f, + 0.730562769f, 0.682845546f, + 0.728464390f, 0.685083668f, + 0.726359155f, 0.687315341f, + 0.724247083f, 0.689540545f, + 0.722128194f, 0.691759258f, + 0.720002508f, 0.693971461f, + 0.717870045f, 0.696177131f, + 0.715730825f, 0.698376249f, + 0.713584869f, 0.700568794f, + 0.711432196f, 0.702754744f, + 0.709272826f, 0.704934080f, + 0.707106781f, 0.707106781f, + 0.704934080f, 0.709272826f, + 0.702754744f, 0.711432196f, + 0.700568794f, 0.713584869f, + 0.698376249f, 0.715730825f, + 0.696177131f, 0.717870045f, + 0.693971461f, 0.720002508f, + 0.691759258f, 0.722128194f, + 0.689540545f, 0.724247083f, + 0.687315341f, 0.726359155f, + 0.685083668f, 0.728464390f, + 0.682845546f, 0.730562769f, + 0.680600998f, 0.732654272f, + 0.678350043f, 0.734738878f, + 0.676092704f, 0.736816569f, + 0.673829000f, 0.738887324f, + 0.671558955f, 0.740951125f, + 0.669282588f, 0.743007952f, + 0.666999922f, 0.745057785f, + 0.664710978f, 0.747100606f, + 0.662415778f, 0.749136395f, + 0.660114342f, 0.751165132f, + 0.657806693f, 0.753186799f, + 0.655492853f, 0.755201377f, + 0.653172843f, 0.757208847f, + 0.650846685f, 0.759209189f, + 0.648514401f, 0.761202385f, + 0.646176013f, 0.763188417f, + 0.643831543f, 0.765167266f, + 0.641481013f, 0.767138912f, + 0.639124445f, 0.769103338f, + 0.636761861f, 0.771060524f, + 0.634393284f, 0.773010453f, + 0.632018736f, 0.774953107f, + 0.629638239f, 0.776888466f, + 0.627251815f, 0.778816512f, + 0.624859488f, 0.780737229f, + 0.622461279f, 0.782650596f, + 0.620057212f, 0.784556597f, + 0.617647308f, 0.786455214f, + 0.615231591f, 0.788346428f, + 0.612810082f, 0.790230221f, + 0.610382806f, 0.792106577f, + 0.607949785f, 0.793975478f, + 0.605511041f, 0.795836905f, + 0.603066599f, 0.797690841f, + 0.600616479f, 0.799537269f, + 0.598160707f, 0.801376172f, + 0.595699304f, 0.803207531f, + 0.593232295f, 0.805031331f, + 0.590759702f, 0.806847554f, + 0.588281548f, 0.808656182f, + 0.585797857f, 0.810457198f, + 0.583308653f, 0.812250587f, + 0.580813958f, 0.814036330f, + 0.578313796f, 0.815814411f, + 0.575808191f, 0.817584813f, + 0.573297167f, 0.819347520f, + 0.570780746f, 0.821102515f, + 0.568258953f, 0.822849781f, + 0.565731811f, 0.824589303f, + 0.563199344f, 0.826321063f, + 0.560661576f, 0.828045045f, + 0.558118531f, 0.829761234f, + 0.555570233f, 0.831469612f, + 0.553016706f, 0.833170165f, + 0.550457973f, 0.834862875f, + 0.547894059f, 0.836547727f, + 0.545324988f, 0.838224706f, + 0.542750785f, 0.839893794f, + 0.540171473f, 0.841554977f, + 0.537587076f, 0.843208240f, + 0.534997620f, 0.844853565f, + 0.532403128f, 0.846490939f, + 0.529803625f, 0.848120345f, + 0.527199135f, 0.849741768f, + 0.524589683f, 0.851355193f, + 0.521975293f, 0.852960605f, + 0.519355990f, 0.854557988f, + 0.516731799f, 0.856147328f, + 0.514102744f, 0.857728610f, + 0.511468850f, 0.859301818f, + 0.508830143f, 0.860866939f, + 0.506186645f, 0.862423956f, + 0.503538384f, 0.863972856f, + 0.500885383f, 0.865513624f, + 0.498227667f, 0.867046246f, + 0.495565262f, 0.868570706f, + 0.492898192f, 0.870086991f, + 0.490226483f, 0.871595087f, + 0.487550160f, 0.873094978f, + 0.484869248f, 0.874586652f, + 0.482183772f, 0.876070094f, + 0.479493758f, 0.877545290f, + 0.476799230f, 0.879012226f, + 0.474100215f, 0.880470889f, + 0.471396737f, 0.881921264f, + 0.468688822f, 0.883363339f, + 0.465976496f, 0.884797098f, + 0.463259784f, 0.886222530f, + 0.460538711f, 0.887639620f, + 0.457813304f, 0.889048356f, + 0.455083587f, 0.890448723f, + 0.452349587f, 0.891840709f, + 0.449611330f, 0.893224301f, + 0.446868840f, 0.894599486f, + 0.444122145f, 0.895966250f, + 0.441371269f, 0.897324581f, + 0.438616239f, 0.898674466f, + 0.435857080f, 0.900015892f, + 0.433093819f, 0.901348847f, + 0.430326481f, 0.902673318f, + 0.427555093f, 0.903989293f, + 0.424779681f, 0.905296759f, + 0.422000271f, 0.906595705f, + 0.419216888f, 0.907886116f, + 0.416429560f, 0.909167983f, + 0.413638312f, 0.910441292f, + 0.410843171f, 0.911706032f, + 0.408044163f, 0.912962190f, + 0.405241314f, 0.914209756f, + 0.402434651f, 0.915448716f, + 0.399624200f, 0.916679060f, + 0.396809987f, 0.917900776f, + 0.393992040f, 0.919113852f, + 0.391170384f, 0.920318277f, + 0.388345047f, 0.921514039f, + 0.385516054f, 0.922701128f, + 0.382683432f, 0.923879533f, + 0.379847209f, 0.925049241f, + 0.377007410f, 0.926210242f, + 0.374164063f, 0.927362526f, + 0.371317194f, 0.928506080f, + 0.368466830f, 0.929640896f, + 0.365612998f, 0.930766961f, + 0.362755724f, 0.931884266f, + 0.359895037f, 0.932992799f, + 0.357030961f, 0.934092550f, + 0.354163525f, 0.935183510f, + 0.351292756f, 0.936265667f, + 0.348418680f, 0.937339012f, + 0.345541325f, 0.938403534f, + 0.342660717f, 0.939459224f, + 0.339776884f, 0.940506071f, + 0.336889853f, 0.941544065f, + 0.333999651f, 0.942573198f, + 0.331106306f, 0.943593458f, + 0.328209844f, 0.944604837f, + 0.325310292f, 0.945607325f, + 0.322407679f, 0.946600913f, + 0.319502031f, 0.947585591f, + 0.316593376f, 0.948561350f, + 0.313681740f, 0.949528181f, + 0.310767153f, 0.950486074f, + 0.307849640f, 0.951435021f, + 0.304929230f, 0.952375013f, + 0.302005949f, 0.953306040f, + 0.299079826f, 0.954228095f, + 0.296150888f, 0.955141168f, + 0.293219163f, 0.956045251f, + 0.290284677f, 0.956940336f, + 0.287347460f, 0.957826413f, + 0.284407537f, 0.958703475f, + 0.281464938f, 0.959571513f, + 0.278519689f, 0.960430519f, + 0.275571819f, 0.961280486f, + 0.272621355f, 0.962121404f, + 0.269668326f, 0.962953267f, + 0.266712757f, 0.963776066f, + 0.263754679f, 0.964589793f, + 0.260794118f, 0.965394442f, + 0.257831102f, 0.966190003f, + 0.254865660f, 0.966976471f, + 0.251897818f, 0.967753837f, + 0.248927606f, 0.968522094f, + 0.245955050f, 0.969281235f, + 0.242980180f, 0.970031253f, + 0.240003022f, 0.970772141f, + 0.237023606f, 0.971503891f, + 0.234041959f, 0.972226497f, + 0.231058108f, 0.972939952f, + 0.228072083f, 0.973644250f, + 0.225083911f, 0.974339383f, + 0.222093621f, 0.975025345f, + 0.219101240f, 0.975702130f, + 0.216106797f, 0.976369731f, + 0.213110320f, 0.977028143f, + 0.210111837f, 0.977677358f, + 0.207111376f, 0.978317371f, + 0.204108966f, 0.978948175f, + 0.201104635f, 0.979569766f, + 0.198098411f, 0.980182136f, + 0.195090322f, 0.980785280f, + 0.192080397f, 0.981379193f, + 0.189068664f, 0.981963869f, + 0.186055152f, 0.982539302f, + 0.183039888f, 0.983105487f, + 0.180022901f, 0.983662419f, + 0.177004220f, 0.984210092f, + 0.173983873f, 0.984748502f, + 0.170961889f, 0.985277642f, + 0.167938295f, 0.985797509f, + 0.164913120f, 0.986308097f, + 0.161886394f, 0.986809402f, + 0.158858143f, 0.987301418f, + 0.155828398f, 0.987784142f, + 0.152797185f, 0.988257568f, + 0.149764535f, 0.988721692f, + 0.146730474f, 0.989176510f, + 0.143695033f, 0.989622017f, + 0.140658239f, 0.990058210f, + 0.137620122f, 0.990485084f, + 0.134580709f, 0.990902635f, + 0.131540029f, 0.991310860f, + 0.128498111f, 0.991709754f, + 0.125454983f, 0.992099313f, + 0.122410675f, 0.992479535f, + 0.119365215f, 0.992850414f, + 0.116318631f, 0.993211949f, + 0.113270952f, 0.993564136f, + 0.110222207f, 0.993906970f, + 0.107172425f, 0.994240449f, + 0.104121634f, 0.994564571f, + 0.101069863f, 0.994879331f, + 0.098017140f, 0.995184727f, + 0.094963495f, 0.995480755f, + 0.091908956f, 0.995767414f, + 0.088853553f, 0.996044701f, + 0.085797312f, 0.996312612f, + 0.082740265f, 0.996571146f, + 0.079682438f, 0.996820299f, + 0.076623861f, 0.997060070f, + 0.073564564f, 0.997290457f, + 0.070504573f, 0.997511456f, + 0.067443920f, 0.997723067f, + 0.064382631f, 0.997925286f, + 0.061320736f, 0.998118113f, + 0.058258265f, 0.998301545f, + 0.055195244f, 0.998475581f, + 0.052131705f, 0.998640218f, + 0.049067674f, 0.998795456f, + 0.046003182f, 0.998941293f, + 0.042938257f, 0.999077728f, + 0.039872928f, 0.999204759f, + 0.036807223f, 0.999322385f, + 0.033741172f, 0.999430605f, + 0.030674803f, 0.999529418f, + 0.027608146f, 0.999618822f, + 0.024541229f, 0.999698819f, + 0.021474080f, 0.999769405f, + 0.018406730f, 0.999830582f, + 0.015339206f, 0.999882347f, + 0.012271538f, 0.999924702f, + 0.009203755f, 0.999957645f, + 0.006135885f, 0.999981175f, + 0.003067957f, 0.999995294f, + 0.000000000f, 1.000000000f, + -0.003067957f, 0.999995294f, + -0.006135885f, 0.999981175f, + -0.009203755f, 0.999957645f, + -0.012271538f, 0.999924702f, + -0.015339206f, 0.999882347f, + -0.018406730f, 0.999830582f, + -0.021474080f, 0.999769405f, + -0.024541229f, 0.999698819f, + -0.027608146f, 0.999618822f, + -0.030674803f, 0.999529418f, + -0.033741172f, 0.999430605f, + -0.036807223f, 0.999322385f, + -0.039872928f, 0.999204759f, + -0.042938257f, 0.999077728f, + -0.046003182f, 0.998941293f, + -0.049067674f, 0.998795456f, + -0.052131705f, 0.998640218f, + -0.055195244f, 0.998475581f, + -0.058258265f, 0.998301545f, + -0.061320736f, 0.998118113f, + -0.064382631f, 0.997925286f, + -0.067443920f, 0.997723067f, + -0.070504573f, 0.997511456f, + -0.073564564f, 0.997290457f, + -0.076623861f, 0.997060070f, + -0.079682438f, 0.996820299f, + -0.082740265f, 0.996571146f, + -0.085797312f, 0.996312612f, + -0.088853553f, 0.996044701f, + -0.091908956f, 0.995767414f, + -0.094963495f, 0.995480755f, + -0.098017140f, 0.995184727f, + -0.101069863f, 0.994879331f, + -0.104121634f, 0.994564571f, + -0.107172425f, 0.994240449f, + -0.110222207f, 0.993906970f, + -0.113270952f, 0.993564136f, + -0.116318631f, 0.993211949f, + -0.119365215f, 0.992850414f, + -0.122410675f, 0.992479535f, + -0.125454983f, 0.992099313f, + -0.128498111f, 0.991709754f, + -0.131540029f, 0.991310860f, + -0.134580709f, 0.990902635f, + -0.137620122f, 0.990485084f, + -0.140658239f, 0.990058210f, + -0.143695033f, 0.989622017f, + -0.146730474f, 0.989176510f, + -0.149764535f, 0.988721692f, + -0.152797185f, 0.988257568f, + -0.155828398f, 0.987784142f, + -0.158858143f, 0.987301418f, + -0.161886394f, 0.986809402f, + -0.164913120f, 0.986308097f, + -0.167938295f, 0.985797509f, + -0.170961889f, 0.985277642f, + -0.173983873f, 0.984748502f, + -0.177004220f, 0.984210092f, + -0.180022901f, 0.983662419f, + -0.183039888f, 0.983105487f, + -0.186055152f, 0.982539302f, + -0.189068664f, 0.981963869f, + -0.192080397f, 0.981379193f, + -0.195090322f, 0.980785280f, + -0.198098411f, 0.980182136f, + -0.201104635f, 0.979569766f, + -0.204108966f, 0.978948175f, + -0.207111376f, 0.978317371f, + -0.210111837f, 0.977677358f, + -0.213110320f, 0.977028143f, + -0.216106797f, 0.976369731f, + -0.219101240f, 0.975702130f, + -0.222093621f, 0.975025345f, + -0.225083911f, 0.974339383f, + -0.228072083f, 0.973644250f, + -0.231058108f, 0.972939952f, + -0.234041959f, 0.972226497f, + -0.237023606f, 0.971503891f, + -0.240003022f, 0.970772141f, + -0.242980180f, 0.970031253f, + -0.245955050f, 0.969281235f, + -0.248927606f, 0.968522094f, + -0.251897818f, 0.967753837f, + -0.254865660f, 0.966976471f, + -0.257831102f, 0.966190003f, + -0.260794118f, 0.965394442f, + -0.263754679f, 0.964589793f, + -0.266712757f, 0.963776066f, + -0.269668326f, 0.962953267f, + -0.272621355f, 0.962121404f, + -0.275571819f, 0.961280486f, + -0.278519689f, 0.960430519f, + -0.281464938f, 0.959571513f, + -0.284407537f, 0.958703475f, + -0.287347460f, 0.957826413f, + -0.290284677f, 0.956940336f, + -0.293219163f, 0.956045251f, + -0.296150888f, 0.955141168f, + -0.299079826f, 0.954228095f, + -0.302005949f, 0.953306040f, + -0.304929230f, 0.952375013f, + -0.307849640f, 0.951435021f, + -0.310767153f, 0.950486074f, + -0.313681740f, 0.949528181f, + -0.316593376f, 0.948561350f, + -0.319502031f, 0.947585591f, + -0.322407679f, 0.946600913f, + -0.325310292f, 0.945607325f, + -0.328209844f, 0.944604837f, + -0.331106306f, 0.943593458f, + -0.333999651f, 0.942573198f, + -0.336889853f, 0.941544065f, + -0.339776884f, 0.940506071f, + -0.342660717f, 0.939459224f, + -0.345541325f, 0.938403534f, + -0.348418680f, 0.937339012f, + -0.351292756f, 0.936265667f, + -0.354163525f, 0.935183510f, + -0.357030961f, 0.934092550f, + -0.359895037f, 0.932992799f, + -0.362755724f, 0.931884266f, + -0.365612998f, 0.930766961f, + -0.368466830f, 0.929640896f, + -0.371317194f, 0.928506080f, + -0.374164063f, 0.927362526f, + -0.377007410f, 0.926210242f, + -0.379847209f, 0.925049241f, + -0.382683432f, 0.923879533f, + -0.385516054f, 0.922701128f, + -0.388345047f, 0.921514039f, + -0.391170384f, 0.920318277f, + -0.393992040f, 0.919113852f, + -0.396809987f, 0.917900776f, + -0.399624200f, 0.916679060f, + -0.402434651f, 0.915448716f, + -0.405241314f, 0.914209756f, + -0.408044163f, 0.912962190f, + -0.410843171f, 0.911706032f, + -0.413638312f, 0.910441292f, + -0.416429560f, 0.909167983f, + -0.419216888f, 0.907886116f, + -0.422000271f, 0.906595705f, + -0.424779681f, 0.905296759f, + -0.427555093f, 0.903989293f, + -0.430326481f, 0.902673318f, + -0.433093819f, 0.901348847f, + -0.435857080f, 0.900015892f, + -0.438616239f, 0.898674466f, + -0.441371269f, 0.897324581f, + -0.444122145f, 0.895966250f, + -0.446868840f, 0.894599486f, + -0.449611330f, 0.893224301f, + -0.452349587f, 0.891840709f, + -0.455083587f, 0.890448723f, + -0.457813304f, 0.889048356f, + -0.460538711f, 0.887639620f, + -0.463259784f, 0.886222530f, + -0.465976496f, 0.884797098f, + -0.468688822f, 0.883363339f, + -0.471396737f, 0.881921264f, + -0.474100215f, 0.880470889f, + -0.476799230f, 0.879012226f, + -0.479493758f, 0.877545290f, + -0.482183772f, 0.876070094f, + -0.484869248f, 0.874586652f, + -0.487550160f, 0.873094978f, + -0.490226483f, 0.871595087f, + -0.492898192f, 0.870086991f, + -0.495565262f, 0.868570706f, + -0.498227667f, 0.867046246f, + -0.500885383f, 0.865513624f, + -0.503538384f, 0.863972856f, + -0.506186645f, 0.862423956f, + -0.508830143f, 0.860866939f, + -0.511468850f, 0.859301818f, + -0.514102744f, 0.857728610f, + -0.516731799f, 0.856147328f, + -0.519355990f, 0.854557988f, + -0.521975293f, 0.852960605f, + -0.524589683f, 0.851355193f, + -0.527199135f, 0.849741768f, + -0.529803625f, 0.848120345f, + -0.532403128f, 0.846490939f, + -0.534997620f, 0.844853565f, + -0.537587076f, 0.843208240f, + -0.540171473f, 0.841554977f, + -0.542750785f, 0.839893794f, + -0.545324988f, 0.838224706f, + -0.547894059f, 0.836547727f, + -0.550457973f, 0.834862875f, + -0.553016706f, 0.833170165f, + -0.555570233f, 0.831469612f, + -0.558118531f, 0.829761234f, + -0.560661576f, 0.828045045f, + -0.563199344f, 0.826321063f, + -0.565731811f, 0.824589303f, + -0.568258953f, 0.822849781f, + -0.570780746f, 0.821102515f, + -0.573297167f, 0.819347520f, + -0.575808191f, 0.817584813f, + -0.578313796f, 0.815814411f, + -0.580813958f, 0.814036330f, + -0.583308653f, 0.812250587f, + -0.585797857f, 0.810457198f, + -0.588281548f, 0.808656182f, + -0.590759702f, 0.806847554f, + -0.593232295f, 0.805031331f, + -0.595699304f, 0.803207531f, + -0.598160707f, 0.801376172f, + -0.600616479f, 0.799537269f, + -0.603066599f, 0.797690841f, + -0.605511041f, 0.795836905f, + -0.607949785f, 0.793975478f, + -0.610382806f, 0.792106577f, + -0.612810082f, 0.790230221f, + -0.615231591f, 0.788346428f, + -0.617647308f, 0.786455214f, + -0.620057212f, 0.784556597f, + -0.622461279f, 0.782650596f, + -0.624859488f, 0.780737229f, + -0.627251815f, 0.778816512f, + -0.629638239f, 0.776888466f, + -0.632018736f, 0.774953107f, + -0.634393284f, 0.773010453f, + -0.636761861f, 0.771060524f, + -0.639124445f, 0.769103338f, + -0.641481013f, 0.767138912f, + -0.643831543f, 0.765167266f, + -0.646176013f, 0.763188417f, + -0.648514401f, 0.761202385f, + -0.650846685f, 0.759209189f, + -0.653172843f, 0.757208847f, + -0.655492853f, 0.755201377f, + -0.657806693f, 0.753186799f, + -0.660114342f, 0.751165132f, + -0.662415778f, 0.749136395f, + -0.664710978f, 0.747100606f, + -0.666999922f, 0.745057785f, + -0.669282588f, 0.743007952f, + -0.671558955f, 0.740951125f, + -0.673829000f, 0.738887324f, + -0.676092704f, 0.736816569f, + -0.678350043f, 0.734738878f, + -0.680600998f, 0.732654272f, + -0.682845546f, 0.730562769f, + -0.685083668f, 0.728464390f, + -0.687315341f, 0.726359155f, + -0.689540545f, 0.724247083f, + -0.691759258f, 0.722128194f, + -0.693971461f, 0.720002508f, + -0.696177131f, 0.717870045f, + -0.698376249f, 0.715730825f, + -0.700568794f, 0.713584869f, + -0.702754744f, 0.711432196f, + -0.704934080f, 0.709272826f, + -0.707106781f, 0.707106781f, + -0.709272826f, 0.704934080f, + -0.711432196f, 0.702754744f, + -0.713584869f, 0.700568794f, + -0.715730825f, 0.698376249f, + -0.717870045f, 0.696177131f, + -0.720002508f, 0.693971461f, + -0.722128194f, 0.691759258f, + -0.724247083f, 0.689540545f, + -0.726359155f, 0.687315341f, + -0.728464390f, 0.685083668f, + -0.730562769f, 0.682845546f, + -0.732654272f, 0.680600998f, + -0.734738878f, 0.678350043f, + -0.736816569f, 0.676092704f, + -0.738887324f, 0.673829000f, + -0.740951125f, 0.671558955f, + -0.743007952f, 0.669282588f, + -0.745057785f, 0.666999922f, + -0.747100606f, 0.664710978f, + -0.749136395f, 0.662415778f, + -0.751165132f, 0.660114342f, + -0.753186799f, 0.657806693f, + -0.755201377f, 0.655492853f, + -0.757208847f, 0.653172843f, + -0.759209189f, 0.650846685f, + -0.761202385f, 0.648514401f, + -0.763188417f, 0.646176013f, + -0.765167266f, 0.643831543f, + -0.767138912f, 0.641481013f, + -0.769103338f, 0.639124445f, + -0.771060524f, 0.636761861f, + -0.773010453f, 0.634393284f, + -0.774953107f, 0.632018736f, + -0.776888466f, 0.629638239f, + -0.778816512f, 0.627251815f, + -0.780737229f, 0.624859488f, + -0.782650596f, 0.622461279f, + -0.784556597f, 0.620057212f, + -0.786455214f, 0.617647308f, + -0.788346428f, 0.615231591f, + -0.790230221f, 0.612810082f, + -0.792106577f, 0.610382806f, + -0.793975478f, 0.607949785f, + -0.795836905f, 0.605511041f, + -0.797690841f, 0.603066599f, + -0.799537269f, 0.600616479f, + -0.801376172f, 0.598160707f, + -0.803207531f, 0.595699304f, + -0.805031331f, 0.593232295f, + -0.806847554f, 0.590759702f, + -0.808656182f, 0.588281548f, + -0.810457198f, 0.585797857f, + -0.812250587f, 0.583308653f, + -0.814036330f, 0.580813958f, + -0.815814411f, 0.578313796f, + -0.817584813f, 0.575808191f, + -0.819347520f, 0.573297167f, + -0.821102515f, 0.570780746f, + -0.822849781f, 0.568258953f, + -0.824589303f, 0.565731811f, + -0.826321063f, 0.563199344f, + -0.828045045f, 0.560661576f, + -0.829761234f, 0.558118531f, + -0.831469612f, 0.555570233f, + -0.833170165f, 0.553016706f, + -0.834862875f, 0.550457973f, + -0.836547727f, 0.547894059f, + -0.838224706f, 0.545324988f, + -0.839893794f, 0.542750785f, + -0.841554977f, 0.540171473f, + -0.843208240f, 0.537587076f, + -0.844853565f, 0.534997620f, + -0.846490939f, 0.532403128f, + -0.848120345f, 0.529803625f, + -0.849741768f, 0.527199135f, + -0.851355193f, 0.524589683f, + -0.852960605f, 0.521975293f, + -0.854557988f, 0.519355990f, + -0.856147328f, 0.516731799f, + -0.857728610f, 0.514102744f, + -0.859301818f, 0.511468850f, + -0.860866939f, 0.508830143f, + -0.862423956f, 0.506186645f, + -0.863972856f, 0.503538384f, + -0.865513624f, 0.500885383f, + -0.867046246f, 0.498227667f, + -0.868570706f, 0.495565262f, + -0.870086991f, 0.492898192f, + -0.871595087f, 0.490226483f, + -0.873094978f, 0.487550160f, + -0.874586652f, 0.484869248f, + -0.876070094f, 0.482183772f, + -0.877545290f, 0.479493758f, + -0.879012226f, 0.476799230f, + -0.880470889f, 0.474100215f, + -0.881921264f, 0.471396737f, + -0.883363339f, 0.468688822f, + -0.884797098f, 0.465976496f, + -0.886222530f, 0.463259784f, + -0.887639620f, 0.460538711f, + -0.889048356f, 0.457813304f, + -0.890448723f, 0.455083587f, + -0.891840709f, 0.452349587f, + -0.893224301f, 0.449611330f, + -0.894599486f, 0.446868840f, + -0.895966250f, 0.444122145f, + -0.897324581f, 0.441371269f, + -0.898674466f, 0.438616239f, + -0.900015892f, 0.435857080f, + -0.901348847f, 0.433093819f, + -0.902673318f, 0.430326481f, + -0.903989293f, 0.427555093f, + -0.905296759f, 0.424779681f, + -0.906595705f, 0.422000271f, + -0.907886116f, 0.419216888f, + -0.909167983f, 0.416429560f, + -0.910441292f, 0.413638312f, + -0.911706032f, 0.410843171f, + -0.912962190f, 0.408044163f, + -0.914209756f, 0.405241314f, + -0.915448716f, 0.402434651f, + -0.916679060f, 0.399624200f, + -0.917900776f, 0.396809987f, + -0.919113852f, 0.393992040f, + -0.920318277f, 0.391170384f, + -0.921514039f, 0.388345047f, + -0.922701128f, 0.385516054f, + -0.923879533f, 0.382683432f, + -0.925049241f, 0.379847209f, + -0.926210242f, 0.377007410f, + -0.927362526f, 0.374164063f, + -0.928506080f, 0.371317194f, + -0.929640896f, 0.368466830f, + -0.930766961f, 0.365612998f, + -0.931884266f, 0.362755724f, + -0.932992799f, 0.359895037f, + -0.934092550f, 0.357030961f, + -0.935183510f, 0.354163525f, + -0.936265667f, 0.351292756f, + -0.937339012f, 0.348418680f, + -0.938403534f, 0.345541325f, + -0.939459224f, 0.342660717f, + -0.940506071f, 0.339776884f, + -0.941544065f, 0.336889853f, + -0.942573198f, 0.333999651f, + -0.943593458f, 0.331106306f, + -0.944604837f, 0.328209844f, + -0.945607325f, 0.325310292f, + -0.946600913f, 0.322407679f, + -0.947585591f, 0.319502031f, + -0.948561350f, 0.316593376f, + -0.949528181f, 0.313681740f, + -0.950486074f, 0.310767153f, + -0.951435021f, 0.307849640f, + -0.952375013f, 0.304929230f, + -0.953306040f, 0.302005949f, + -0.954228095f, 0.299079826f, + -0.955141168f, 0.296150888f, + -0.956045251f, 0.293219163f, + -0.956940336f, 0.290284677f, + -0.957826413f, 0.287347460f, + -0.958703475f, 0.284407537f, + -0.959571513f, 0.281464938f, + -0.960430519f, 0.278519689f, + -0.961280486f, 0.275571819f, + -0.962121404f, 0.272621355f, + -0.962953267f, 0.269668326f, + -0.963776066f, 0.266712757f, + -0.964589793f, 0.263754679f, + -0.965394442f, 0.260794118f, + -0.966190003f, 0.257831102f, + -0.966976471f, 0.254865660f, + -0.967753837f, 0.251897818f, + -0.968522094f, 0.248927606f, + -0.969281235f, 0.245955050f, + -0.970031253f, 0.242980180f, + -0.970772141f, 0.240003022f, + -0.971503891f, 0.237023606f, + -0.972226497f, 0.234041959f, + -0.972939952f, 0.231058108f, + -0.973644250f, 0.228072083f, + -0.974339383f, 0.225083911f, + -0.975025345f, 0.222093621f, + -0.975702130f, 0.219101240f, + -0.976369731f, 0.216106797f, + -0.977028143f, 0.213110320f, + -0.977677358f, 0.210111837f, + -0.978317371f, 0.207111376f, + -0.978948175f, 0.204108966f, + -0.979569766f, 0.201104635f, + -0.980182136f, 0.198098411f, + -0.980785280f, 0.195090322f, + -0.981379193f, 0.192080397f, + -0.981963869f, 0.189068664f, + -0.982539302f, 0.186055152f, + -0.983105487f, 0.183039888f, + -0.983662419f, 0.180022901f, + -0.984210092f, 0.177004220f, + -0.984748502f, 0.173983873f, + -0.985277642f, 0.170961889f, + -0.985797509f, 0.167938295f, + -0.986308097f, 0.164913120f, + -0.986809402f, 0.161886394f, + -0.987301418f, 0.158858143f, + -0.987784142f, 0.155828398f, + -0.988257568f, 0.152797185f, + -0.988721692f, 0.149764535f, + -0.989176510f, 0.146730474f, + -0.989622017f, 0.143695033f, + -0.990058210f, 0.140658239f, + -0.990485084f, 0.137620122f, + -0.990902635f, 0.134580709f, + -0.991310860f, 0.131540029f, + -0.991709754f, 0.128498111f, + -0.992099313f, 0.125454983f, + -0.992479535f, 0.122410675f, + -0.992850414f, 0.119365215f, + -0.993211949f, 0.116318631f, + -0.993564136f, 0.113270952f, + -0.993906970f, 0.110222207f, + -0.994240449f, 0.107172425f, + -0.994564571f, 0.104121634f, + -0.994879331f, 0.101069863f, + -0.995184727f, 0.098017140f, + -0.995480755f, 0.094963495f, + -0.995767414f, 0.091908956f, + -0.996044701f, 0.088853553f, + -0.996312612f, 0.085797312f, + -0.996571146f, 0.082740265f, + -0.996820299f, 0.079682438f, + -0.997060070f, 0.076623861f, + -0.997290457f, 0.073564564f, + -0.997511456f, 0.070504573f, + -0.997723067f, 0.067443920f, + -0.997925286f, 0.064382631f, + -0.998118113f, 0.061320736f, + -0.998301545f, 0.058258265f, + -0.998475581f, 0.055195244f, + -0.998640218f, 0.052131705f, + -0.998795456f, 0.049067674f, + -0.998941293f, 0.046003182f, + -0.999077728f, 0.042938257f, + -0.999204759f, 0.039872928f, + -0.999322385f, 0.036807223f, + -0.999430605f, 0.033741172f, + -0.999529418f, 0.030674803f, + -0.999618822f, 0.027608146f, + -0.999698819f, 0.024541229f, + -0.999769405f, 0.021474080f, + -0.999830582f, 0.018406730f, + -0.999882347f, 0.015339206f, + -0.999924702f, 0.012271538f, + -0.999957645f, 0.009203755f, + -0.999981175f, 0.006135885f, + -0.999995294f, 0.003067957f, + -1.000000000f, 0.000000000f, + -0.999995294f, -0.003067957f, + -0.999981175f, -0.006135885f, + -0.999957645f, -0.009203755f, + -0.999924702f, -0.012271538f, + -0.999882347f, -0.015339206f, + -0.999830582f, -0.018406730f, + -0.999769405f, -0.021474080f, + -0.999698819f, -0.024541229f, + -0.999618822f, -0.027608146f, + -0.999529418f, -0.030674803f, + -0.999430605f, -0.033741172f, + -0.999322385f, -0.036807223f, + -0.999204759f, -0.039872928f, + -0.999077728f, -0.042938257f, + -0.998941293f, -0.046003182f, + -0.998795456f, -0.049067674f, + -0.998640218f, -0.052131705f, + -0.998475581f, -0.055195244f, + -0.998301545f, -0.058258265f, + -0.998118113f, -0.061320736f, + -0.997925286f, -0.064382631f, + -0.997723067f, -0.067443920f, + -0.997511456f, -0.070504573f, + -0.997290457f, -0.073564564f, + -0.997060070f, -0.076623861f, + -0.996820299f, -0.079682438f, + -0.996571146f, -0.082740265f, + -0.996312612f, -0.085797312f, + -0.996044701f, -0.088853553f, + -0.995767414f, -0.091908956f, + -0.995480755f, -0.094963495f, + -0.995184727f, -0.098017140f, + -0.994879331f, -0.101069863f, + -0.994564571f, -0.104121634f, + -0.994240449f, -0.107172425f, + -0.993906970f, -0.110222207f, + -0.993564136f, -0.113270952f, + -0.993211949f, -0.116318631f, + -0.992850414f, -0.119365215f, + -0.992479535f, -0.122410675f, + -0.992099313f, -0.125454983f, + -0.991709754f, -0.128498111f, + -0.991310860f, -0.131540029f, + -0.990902635f, -0.134580709f, + -0.990485084f, -0.137620122f, + -0.990058210f, -0.140658239f, + -0.989622017f, -0.143695033f, + -0.989176510f, -0.146730474f, + -0.988721692f, -0.149764535f, + -0.988257568f, -0.152797185f, + -0.987784142f, -0.155828398f, + -0.987301418f, -0.158858143f, + -0.986809402f, -0.161886394f, + -0.986308097f, -0.164913120f, + -0.985797509f, -0.167938295f, + -0.985277642f, -0.170961889f, + -0.984748502f, -0.173983873f, + -0.984210092f, -0.177004220f, + -0.983662419f, -0.180022901f, + -0.983105487f, -0.183039888f, + -0.982539302f, -0.186055152f, + -0.981963869f, -0.189068664f, + -0.981379193f, -0.192080397f, + -0.980785280f, -0.195090322f, + -0.980182136f, -0.198098411f, + -0.979569766f, -0.201104635f, + -0.978948175f, -0.204108966f, + -0.978317371f, -0.207111376f, + -0.977677358f, -0.210111837f, + -0.977028143f, -0.213110320f, + -0.976369731f, -0.216106797f, + -0.975702130f, -0.219101240f, + -0.975025345f, -0.222093621f, + -0.974339383f, -0.225083911f, + -0.973644250f, -0.228072083f, + -0.972939952f, -0.231058108f, + -0.972226497f, -0.234041959f, + -0.971503891f, -0.237023606f, + -0.970772141f, -0.240003022f, + -0.970031253f, -0.242980180f, + -0.969281235f, -0.245955050f, + -0.968522094f, -0.248927606f, + -0.967753837f, -0.251897818f, + -0.966976471f, -0.254865660f, + -0.966190003f, -0.257831102f, + -0.965394442f, -0.260794118f, + -0.964589793f, -0.263754679f, + -0.963776066f, -0.266712757f, + -0.962953267f, -0.269668326f, + -0.962121404f, -0.272621355f, + -0.961280486f, -0.275571819f, + -0.960430519f, -0.278519689f, + -0.959571513f, -0.281464938f, + -0.958703475f, -0.284407537f, + -0.957826413f, -0.287347460f, + -0.956940336f, -0.290284677f, + -0.956045251f, -0.293219163f, + -0.955141168f, -0.296150888f, + -0.954228095f, -0.299079826f, + -0.953306040f, -0.302005949f, + -0.952375013f, -0.304929230f, + -0.951435021f, -0.307849640f, + -0.950486074f, -0.310767153f, + -0.949528181f, -0.313681740f, + -0.948561350f, -0.316593376f, + -0.947585591f, -0.319502031f, + -0.946600913f, -0.322407679f, + -0.945607325f, -0.325310292f, + -0.944604837f, -0.328209844f, + -0.943593458f, -0.331106306f, + -0.942573198f, -0.333999651f, + -0.941544065f, -0.336889853f, + -0.940506071f, -0.339776884f, + -0.939459224f, -0.342660717f, + -0.938403534f, -0.345541325f, + -0.937339012f, -0.348418680f, + -0.936265667f, -0.351292756f, + -0.935183510f, -0.354163525f, + -0.934092550f, -0.357030961f, + -0.932992799f, -0.359895037f, + -0.931884266f, -0.362755724f, + -0.930766961f, -0.365612998f, + -0.929640896f, -0.368466830f, + -0.928506080f, -0.371317194f, + -0.927362526f, -0.374164063f, + -0.926210242f, -0.377007410f, + -0.925049241f, -0.379847209f, + -0.923879533f, -0.382683432f, + -0.922701128f, -0.385516054f, + -0.921514039f, -0.388345047f, + -0.920318277f, -0.391170384f, + -0.919113852f, -0.393992040f, + -0.917900776f, -0.396809987f, + -0.916679060f, -0.399624200f, + -0.915448716f, -0.402434651f, + -0.914209756f, -0.405241314f, + -0.912962190f, -0.408044163f, + -0.911706032f, -0.410843171f, + -0.910441292f, -0.413638312f, + -0.909167983f, -0.416429560f, + -0.907886116f, -0.419216888f, + -0.906595705f, -0.422000271f, + -0.905296759f, -0.424779681f, + -0.903989293f, -0.427555093f, + -0.902673318f, -0.430326481f, + -0.901348847f, -0.433093819f, + -0.900015892f, -0.435857080f, + -0.898674466f, -0.438616239f, + -0.897324581f, -0.441371269f, + -0.895966250f, -0.444122145f, + -0.894599486f, -0.446868840f, + -0.893224301f, -0.449611330f, + -0.891840709f, -0.452349587f, + -0.890448723f, -0.455083587f, + -0.889048356f, -0.457813304f, + -0.887639620f, -0.460538711f, + -0.886222530f, -0.463259784f, + -0.884797098f, -0.465976496f, + -0.883363339f, -0.468688822f, + -0.881921264f, -0.471396737f, + -0.880470889f, -0.474100215f, + -0.879012226f, -0.476799230f, + -0.877545290f, -0.479493758f, + -0.876070094f, -0.482183772f, + -0.874586652f, -0.484869248f, + -0.873094978f, -0.487550160f, + -0.871595087f, -0.490226483f, + -0.870086991f, -0.492898192f, + -0.868570706f, -0.495565262f, + -0.867046246f, -0.498227667f, + -0.865513624f, -0.500885383f, + -0.863972856f, -0.503538384f, + -0.862423956f, -0.506186645f, + -0.860866939f, -0.508830143f, + -0.859301818f, -0.511468850f, + -0.857728610f, -0.514102744f, + -0.856147328f, -0.516731799f, + -0.854557988f, -0.519355990f, + -0.852960605f, -0.521975293f, + -0.851355193f, -0.524589683f, + -0.849741768f, -0.527199135f, + -0.848120345f, -0.529803625f, + -0.846490939f, -0.532403128f, + -0.844853565f, -0.534997620f, + -0.843208240f, -0.537587076f, + -0.841554977f, -0.540171473f, + -0.839893794f, -0.542750785f, + -0.838224706f, -0.545324988f, + -0.836547727f, -0.547894059f, + -0.834862875f, -0.550457973f, + -0.833170165f, -0.553016706f, + -0.831469612f, -0.555570233f, + -0.829761234f, -0.558118531f, + -0.828045045f, -0.560661576f, + -0.826321063f, -0.563199344f, + -0.824589303f, -0.565731811f, + -0.822849781f, -0.568258953f, + -0.821102515f, -0.570780746f, + -0.819347520f, -0.573297167f, + -0.817584813f, -0.575808191f, + -0.815814411f, -0.578313796f, + -0.814036330f, -0.580813958f, + -0.812250587f, -0.583308653f, + -0.810457198f, -0.585797857f, + -0.808656182f, -0.588281548f, + -0.806847554f, -0.590759702f, + -0.805031331f, -0.593232295f, + -0.803207531f, -0.595699304f, + -0.801376172f, -0.598160707f, + -0.799537269f, -0.600616479f, + -0.797690841f, -0.603066599f, + -0.795836905f, -0.605511041f, + -0.793975478f, -0.607949785f, + -0.792106577f, -0.610382806f, + -0.790230221f, -0.612810082f, + -0.788346428f, -0.615231591f, + -0.786455214f, -0.617647308f, + -0.784556597f, -0.620057212f, + -0.782650596f, -0.622461279f, + -0.780737229f, -0.624859488f, + -0.778816512f, -0.627251815f, + -0.776888466f, -0.629638239f, + -0.774953107f, -0.632018736f, + -0.773010453f, -0.634393284f, + -0.771060524f, -0.636761861f, + -0.769103338f, -0.639124445f, + -0.767138912f, -0.641481013f, + -0.765167266f, -0.643831543f, + -0.763188417f, -0.646176013f, + -0.761202385f, -0.648514401f, + -0.759209189f, -0.650846685f, + -0.757208847f, -0.653172843f, + -0.755201377f, -0.655492853f, + -0.753186799f, -0.657806693f, + -0.751165132f, -0.660114342f, + -0.749136395f, -0.662415778f, + -0.747100606f, -0.664710978f, + -0.745057785f, -0.666999922f, + -0.743007952f, -0.669282588f, + -0.740951125f, -0.671558955f, + -0.738887324f, -0.673829000f, + -0.736816569f, -0.676092704f, + -0.734738878f, -0.678350043f, + -0.732654272f, -0.680600998f, + -0.730562769f, -0.682845546f, + -0.728464390f, -0.685083668f, + -0.726359155f, -0.687315341f, + -0.724247083f, -0.689540545f, + -0.722128194f, -0.691759258f, + -0.720002508f, -0.693971461f, + -0.717870045f, -0.696177131f, + -0.715730825f, -0.698376249f, + -0.713584869f, -0.700568794f, + -0.711432196f, -0.702754744f, + -0.709272826f, -0.704934080f, + -0.707106781f, -0.707106781f, + -0.704934080f, -0.709272826f, + -0.702754744f, -0.711432196f, + -0.700568794f, -0.713584869f, + -0.698376249f, -0.715730825f, + -0.696177131f, -0.717870045f, + -0.693971461f, -0.720002508f, + -0.691759258f, -0.722128194f, + -0.689540545f, -0.724247083f, + -0.687315341f, -0.726359155f, + -0.685083668f, -0.728464390f, + -0.682845546f, -0.730562769f, + -0.680600998f, -0.732654272f, + -0.678350043f, -0.734738878f, + -0.676092704f, -0.736816569f, + -0.673829000f, -0.738887324f, + -0.671558955f, -0.740951125f, + -0.669282588f, -0.743007952f, + -0.666999922f, -0.745057785f, + -0.664710978f, -0.747100606f, + -0.662415778f, -0.749136395f, + -0.660114342f, -0.751165132f, + -0.657806693f, -0.753186799f, + -0.655492853f, -0.755201377f, + -0.653172843f, -0.757208847f, + -0.650846685f, -0.759209189f, + -0.648514401f, -0.761202385f, + -0.646176013f, -0.763188417f, + -0.643831543f, -0.765167266f, + -0.641481013f, -0.767138912f, + -0.639124445f, -0.769103338f, + -0.636761861f, -0.771060524f, + -0.634393284f, -0.773010453f, + -0.632018736f, -0.774953107f, + -0.629638239f, -0.776888466f, + -0.627251815f, -0.778816512f, + -0.624859488f, -0.780737229f, + -0.622461279f, -0.782650596f, + -0.620057212f, -0.784556597f, + -0.617647308f, -0.786455214f, + -0.615231591f, -0.788346428f, + -0.612810082f, -0.790230221f, + -0.610382806f, -0.792106577f, + -0.607949785f, -0.793975478f, + -0.605511041f, -0.795836905f, + -0.603066599f, -0.797690841f, + -0.600616479f, -0.799537269f, + -0.598160707f, -0.801376172f, + -0.595699304f, -0.803207531f, + -0.593232295f, -0.805031331f, + -0.590759702f, -0.806847554f, + -0.588281548f, -0.808656182f, + -0.585797857f, -0.810457198f, + -0.583308653f, -0.812250587f, + -0.580813958f, -0.814036330f, + -0.578313796f, -0.815814411f, + -0.575808191f, -0.817584813f, + -0.573297167f, -0.819347520f, + -0.570780746f, -0.821102515f, + -0.568258953f, -0.822849781f, + -0.565731811f, -0.824589303f, + -0.563199344f, -0.826321063f, + -0.560661576f, -0.828045045f, + -0.558118531f, -0.829761234f, + -0.555570233f, -0.831469612f, + -0.553016706f, -0.833170165f, + -0.550457973f, -0.834862875f, + -0.547894059f, -0.836547727f, + -0.545324988f, -0.838224706f, + -0.542750785f, -0.839893794f, + -0.540171473f, -0.841554977f, + -0.537587076f, -0.843208240f, + -0.534997620f, -0.844853565f, + -0.532403128f, -0.846490939f, + -0.529803625f, -0.848120345f, + -0.527199135f, -0.849741768f, + -0.524589683f, -0.851355193f, + -0.521975293f, -0.852960605f, + -0.519355990f, -0.854557988f, + -0.516731799f, -0.856147328f, + -0.514102744f, -0.857728610f, + -0.511468850f, -0.859301818f, + -0.508830143f, -0.860866939f, + -0.506186645f, -0.862423956f, + -0.503538384f, -0.863972856f, + -0.500885383f, -0.865513624f, + -0.498227667f, -0.867046246f, + -0.495565262f, -0.868570706f, + -0.492898192f, -0.870086991f, + -0.490226483f, -0.871595087f, + -0.487550160f, -0.873094978f, + -0.484869248f, -0.874586652f, + -0.482183772f, -0.876070094f, + -0.479493758f, -0.877545290f, + -0.476799230f, -0.879012226f, + -0.474100215f, -0.880470889f, + -0.471396737f, -0.881921264f, + -0.468688822f, -0.883363339f, + -0.465976496f, -0.884797098f, + -0.463259784f, -0.886222530f, + -0.460538711f, -0.887639620f, + -0.457813304f, -0.889048356f, + -0.455083587f, -0.890448723f, + -0.452349587f, -0.891840709f, + -0.449611330f, -0.893224301f, + -0.446868840f, -0.894599486f, + -0.444122145f, -0.895966250f, + -0.441371269f, -0.897324581f, + -0.438616239f, -0.898674466f, + -0.435857080f, -0.900015892f, + -0.433093819f, -0.901348847f, + -0.430326481f, -0.902673318f, + -0.427555093f, -0.903989293f, + -0.424779681f, -0.905296759f, + -0.422000271f, -0.906595705f, + -0.419216888f, -0.907886116f, + -0.416429560f, -0.909167983f, + -0.413638312f, -0.910441292f, + -0.410843171f, -0.911706032f, + -0.408044163f, -0.912962190f, + -0.405241314f, -0.914209756f, + -0.402434651f, -0.915448716f, + -0.399624200f, -0.916679060f, + -0.396809987f, -0.917900776f, + -0.393992040f, -0.919113852f, + -0.391170384f, -0.920318277f, + -0.388345047f, -0.921514039f, + -0.385516054f, -0.922701128f, + -0.382683432f, -0.923879533f, + -0.379847209f, -0.925049241f, + -0.377007410f, -0.926210242f, + -0.374164063f, -0.927362526f, + -0.371317194f, -0.928506080f, + -0.368466830f, -0.929640896f, + -0.365612998f, -0.930766961f, + -0.362755724f, -0.931884266f, + -0.359895037f, -0.932992799f, + -0.357030961f, -0.934092550f, + -0.354163525f, -0.935183510f, + -0.351292756f, -0.936265667f, + -0.348418680f, -0.937339012f, + -0.345541325f, -0.938403534f, + -0.342660717f, -0.939459224f, + -0.339776884f, -0.940506071f, + -0.336889853f, -0.941544065f, + -0.333999651f, -0.942573198f, + -0.331106306f, -0.943593458f, + -0.328209844f, -0.944604837f, + -0.325310292f, -0.945607325f, + -0.322407679f, -0.946600913f, + -0.319502031f, -0.947585591f, + -0.316593376f, -0.948561350f, + -0.313681740f, -0.949528181f, + -0.310767153f, -0.950486074f, + -0.307849640f, -0.951435021f, + -0.304929230f, -0.952375013f, + -0.302005949f, -0.953306040f, + -0.299079826f, -0.954228095f, + -0.296150888f, -0.955141168f, + -0.293219163f, -0.956045251f, + -0.290284677f, -0.956940336f, + -0.287347460f, -0.957826413f, + -0.284407537f, -0.958703475f, + -0.281464938f, -0.959571513f, + -0.278519689f, -0.960430519f, + -0.275571819f, -0.961280486f, + -0.272621355f, -0.962121404f, + -0.269668326f, -0.962953267f, + -0.266712757f, -0.963776066f, + -0.263754679f, -0.964589793f, + -0.260794118f, -0.965394442f, + -0.257831102f, -0.966190003f, + -0.254865660f, -0.966976471f, + -0.251897818f, -0.967753837f, + -0.248927606f, -0.968522094f, + -0.245955050f, -0.969281235f, + -0.242980180f, -0.970031253f, + -0.240003022f, -0.970772141f, + -0.237023606f, -0.971503891f, + -0.234041959f, -0.972226497f, + -0.231058108f, -0.972939952f, + -0.228072083f, -0.973644250f, + -0.225083911f, -0.974339383f, + -0.222093621f, -0.975025345f, + -0.219101240f, -0.975702130f, + -0.216106797f, -0.976369731f, + -0.213110320f, -0.977028143f, + -0.210111837f, -0.977677358f, + -0.207111376f, -0.978317371f, + -0.204108966f, -0.978948175f, + -0.201104635f, -0.979569766f, + -0.198098411f, -0.980182136f, + -0.195090322f, -0.980785280f, + -0.192080397f, -0.981379193f, + -0.189068664f, -0.981963869f, + -0.186055152f, -0.982539302f, + -0.183039888f, -0.983105487f, + -0.180022901f, -0.983662419f, + -0.177004220f, -0.984210092f, + -0.173983873f, -0.984748502f, + -0.170961889f, -0.985277642f, + -0.167938295f, -0.985797509f, + -0.164913120f, -0.986308097f, + -0.161886394f, -0.986809402f, + -0.158858143f, -0.987301418f, + -0.155828398f, -0.987784142f, + -0.152797185f, -0.988257568f, + -0.149764535f, -0.988721692f, + -0.146730474f, -0.989176510f, + -0.143695033f, -0.989622017f, + -0.140658239f, -0.990058210f, + -0.137620122f, -0.990485084f, + -0.134580709f, -0.990902635f, + -0.131540029f, -0.991310860f, + -0.128498111f, -0.991709754f, + -0.125454983f, -0.992099313f, + -0.122410675f, -0.992479535f, + -0.119365215f, -0.992850414f, + -0.116318631f, -0.993211949f, + -0.113270952f, -0.993564136f, + -0.110222207f, -0.993906970f, + -0.107172425f, -0.994240449f, + -0.104121634f, -0.994564571f, + -0.101069863f, -0.994879331f, + -0.098017140f, -0.995184727f, + -0.094963495f, -0.995480755f, + -0.091908956f, -0.995767414f, + -0.088853553f, -0.996044701f, + -0.085797312f, -0.996312612f, + -0.082740265f, -0.996571146f, + -0.079682438f, -0.996820299f, + -0.076623861f, -0.997060070f, + -0.073564564f, -0.997290457f, + -0.070504573f, -0.997511456f, + -0.067443920f, -0.997723067f, + -0.064382631f, -0.997925286f, + -0.061320736f, -0.998118113f, + -0.058258265f, -0.998301545f, + -0.055195244f, -0.998475581f, + -0.052131705f, -0.998640218f, + -0.049067674f, -0.998795456f, + -0.046003182f, -0.998941293f, + -0.042938257f, -0.999077728f, + -0.039872928f, -0.999204759f, + -0.036807223f, -0.999322385f, + -0.033741172f, -0.999430605f, + -0.030674803f, -0.999529418f, + -0.027608146f, -0.999618822f, + -0.024541229f, -0.999698819f, + -0.021474080f, -0.999769405f, + -0.018406730f, -0.999830582f, + -0.015339206f, -0.999882347f, + -0.012271538f, -0.999924702f, + -0.009203755f, -0.999957645f, + -0.006135885f, -0.999981175f, + -0.003067957f, -0.999995294f, + -0.000000000f, -1.000000000f, + 0.003067957f, -0.999995294f, + 0.006135885f, -0.999981175f, + 0.009203755f, -0.999957645f, + 0.012271538f, -0.999924702f, + 0.015339206f, -0.999882347f, + 0.018406730f, -0.999830582f, + 0.021474080f, -0.999769405f, + 0.024541229f, -0.999698819f, + 0.027608146f, -0.999618822f, + 0.030674803f, -0.999529418f, + 0.033741172f, -0.999430605f, + 0.036807223f, -0.999322385f, + 0.039872928f, -0.999204759f, + 0.042938257f, -0.999077728f, + 0.046003182f, -0.998941293f, + 0.049067674f, -0.998795456f, + 0.052131705f, -0.998640218f, + 0.055195244f, -0.998475581f, + 0.058258265f, -0.998301545f, + 0.061320736f, -0.998118113f, + 0.064382631f, -0.997925286f, + 0.067443920f, -0.997723067f, + 0.070504573f, -0.997511456f, + 0.073564564f, -0.997290457f, + 0.076623861f, -0.997060070f, + 0.079682438f, -0.996820299f, + 0.082740265f, -0.996571146f, + 0.085797312f, -0.996312612f, + 0.088853553f, -0.996044701f, + 0.091908956f, -0.995767414f, + 0.094963495f, -0.995480755f, + 0.098017140f, -0.995184727f, + 0.101069863f, -0.994879331f, + 0.104121634f, -0.994564571f, + 0.107172425f, -0.994240449f, + 0.110222207f, -0.993906970f, + 0.113270952f, -0.993564136f, + 0.116318631f, -0.993211949f, + 0.119365215f, -0.992850414f, + 0.122410675f, -0.992479535f, + 0.125454983f, -0.992099313f, + 0.128498111f, -0.991709754f, + 0.131540029f, -0.991310860f, + 0.134580709f, -0.990902635f, + 0.137620122f, -0.990485084f, + 0.140658239f, -0.990058210f, + 0.143695033f, -0.989622017f, + 0.146730474f, -0.989176510f, + 0.149764535f, -0.988721692f, + 0.152797185f, -0.988257568f, + 0.155828398f, -0.987784142f, + 0.158858143f, -0.987301418f, + 0.161886394f, -0.986809402f, + 0.164913120f, -0.986308097f, + 0.167938295f, -0.985797509f, + 0.170961889f, -0.985277642f, + 0.173983873f, -0.984748502f, + 0.177004220f, -0.984210092f, + 0.180022901f, -0.983662419f, + 0.183039888f, -0.983105487f, + 0.186055152f, -0.982539302f, + 0.189068664f, -0.981963869f, + 0.192080397f, -0.981379193f, + 0.195090322f, -0.980785280f, + 0.198098411f, -0.980182136f, + 0.201104635f, -0.979569766f, + 0.204108966f, -0.978948175f, + 0.207111376f, -0.978317371f, + 0.210111837f, -0.977677358f, + 0.213110320f, -0.977028143f, + 0.216106797f, -0.976369731f, + 0.219101240f, -0.975702130f, + 0.222093621f, -0.975025345f, + 0.225083911f, -0.974339383f, + 0.228072083f, -0.973644250f, + 0.231058108f, -0.972939952f, + 0.234041959f, -0.972226497f, + 0.237023606f, -0.971503891f, + 0.240003022f, -0.970772141f, + 0.242980180f, -0.970031253f, + 0.245955050f, -0.969281235f, + 0.248927606f, -0.968522094f, + 0.251897818f, -0.967753837f, + 0.254865660f, -0.966976471f, + 0.257831102f, -0.966190003f, + 0.260794118f, -0.965394442f, + 0.263754679f, -0.964589793f, + 0.266712757f, -0.963776066f, + 0.269668326f, -0.962953267f, + 0.272621355f, -0.962121404f, + 0.275571819f, -0.961280486f, + 0.278519689f, -0.960430519f, + 0.281464938f, -0.959571513f, + 0.284407537f, -0.958703475f, + 0.287347460f, -0.957826413f, + 0.290284677f, -0.956940336f, + 0.293219163f, -0.956045251f, + 0.296150888f, -0.955141168f, + 0.299079826f, -0.954228095f, + 0.302005949f, -0.953306040f, + 0.304929230f, -0.952375013f, + 0.307849640f, -0.951435021f, + 0.310767153f, -0.950486074f, + 0.313681740f, -0.949528181f, + 0.316593376f, -0.948561350f, + 0.319502031f, -0.947585591f, + 0.322407679f, -0.946600913f, + 0.325310292f, -0.945607325f, + 0.328209844f, -0.944604837f, + 0.331106306f, -0.943593458f, + 0.333999651f, -0.942573198f, + 0.336889853f, -0.941544065f, + 0.339776884f, -0.940506071f, + 0.342660717f, -0.939459224f, + 0.345541325f, -0.938403534f, + 0.348418680f, -0.937339012f, + 0.351292756f, -0.936265667f, + 0.354163525f, -0.935183510f, + 0.357030961f, -0.934092550f, + 0.359895037f, -0.932992799f, + 0.362755724f, -0.931884266f, + 0.365612998f, -0.930766961f, + 0.368466830f, -0.929640896f, + 0.371317194f, -0.928506080f, + 0.374164063f, -0.927362526f, + 0.377007410f, -0.926210242f, + 0.379847209f, -0.925049241f, + 0.382683432f, -0.923879533f, + 0.385516054f, -0.922701128f, + 0.388345047f, -0.921514039f, + 0.391170384f, -0.920318277f, + 0.393992040f, -0.919113852f, + 0.396809987f, -0.917900776f, + 0.399624200f, -0.916679060f, + 0.402434651f, -0.915448716f, + 0.405241314f, -0.914209756f, + 0.408044163f, -0.912962190f, + 0.410843171f, -0.911706032f, + 0.413638312f, -0.910441292f, + 0.416429560f, -0.909167983f, + 0.419216888f, -0.907886116f, + 0.422000271f, -0.906595705f, + 0.424779681f, -0.905296759f, + 0.427555093f, -0.903989293f, + 0.430326481f, -0.902673318f, + 0.433093819f, -0.901348847f, + 0.435857080f, -0.900015892f, + 0.438616239f, -0.898674466f, + 0.441371269f, -0.897324581f, + 0.444122145f, -0.895966250f, + 0.446868840f, -0.894599486f, + 0.449611330f, -0.893224301f, + 0.452349587f, -0.891840709f, + 0.455083587f, -0.890448723f, + 0.457813304f, -0.889048356f, + 0.460538711f, -0.887639620f, + 0.463259784f, -0.886222530f, + 0.465976496f, -0.884797098f, + 0.468688822f, -0.883363339f, + 0.471396737f, -0.881921264f, + 0.474100215f, -0.880470889f, + 0.476799230f, -0.879012226f, + 0.479493758f, -0.877545290f, + 0.482183772f, -0.876070094f, + 0.484869248f, -0.874586652f, + 0.487550160f, -0.873094978f, + 0.490226483f, -0.871595087f, + 0.492898192f, -0.870086991f, + 0.495565262f, -0.868570706f, + 0.498227667f, -0.867046246f, + 0.500885383f, -0.865513624f, + 0.503538384f, -0.863972856f, + 0.506186645f, -0.862423956f, + 0.508830143f, -0.860866939f, + 0.511468850f, -0.859301818f, + 0.514102744f, -0.857728610f, + 0.516731799f, -0.856147328f, + 0.519355990f, -0.854557988f, + 0.521975293f, -0.852960605f, + 0.524589683f, -0.851355193f, + 0.527199135f, -0.849741768f, + 0.529803625f, -0.848120345f, + 0.532403128f, -0.846490939f, + 0.534997620f, -0.844853565f, + 0.537587076f, -0.843208240f, + 0.540171473f, -0.841554977f, + 0.542750785f, -0.839893794f, + 0.545324988f, -0.838224706f, + 0.547894059f, -0.836547727f, + 0.550457973f, -0.834862875f, + 0.553016706f, -0.833170165f, + 0.555570233f, -0.831469612f, + 0.558118531f, -0.829761234f, + 0.560661576f, -0.828045045f, + 0.563199344f, -0.826321063f, + 0.565731811f, -0.824589303f, + 0.568258953f, -0.822849781f, + 0.570780746f, -0.821102515f, + 0.573297167f, -0.819347520f, + 0.575808191f, -0.817584813f, + 0.578313796f, -0.815814411f, + 0.580813958f, -0.814036330f, + 0.583308653f, -0.812250587f, + 0.585797857f, -0.810457198f, + 0.588281548f, -0.808656182f, + 0.590759702f, -0.806847554f, + 0.593232295f, -0.805031331f, + 0.595699304f, -0.803207531f, + 0.598160707f, -0.801376172f, + 0.600616479f, -0.799537269f, + 0.603066599f, -0.797690841f, + 0.605511041f, -0.795836905f, + 0.607949785f, -0.793975478f, + 0.610382806f, -0.792106577f, + 0.612810082f, -0.790230221f, + 0.615231591f, -0.788346428f, + 0.617647308f, -0.786455214f, + 0.620057212f, -0.784556597f, + 0.622461279f, -0.782650596f, + 0.624859488f, -0.780737229f, + 0.627251815f, -0.778816512f, + 0.629638239f, -0.776888466f, + 0.632018736f, -0.774953107f, + 0.634393284f, -0.773010453f, + 0.636761861f, -0.771060524f, + 0.639124445f, -0.769103338f, + 0.641481013f, -0.767138912f, + 0.643831543f, -0.765167266f, + 0.646176013f, -0.763188417f, + 0.648514401f, -0.761202385f, + 0.650846685f, -0.759209189f, + 0.653172843f, -0.757208847f, + 0.655492853f, -0.755201377f, + 0.657806693f, -0.753186799f, + 0.660114342f, -0.751165132f, + 0.662415778f, -0.749136395f, + 0.664710978f, -0.747100606f, + 0.666999922f, -0.745057785f, + 0.669282588f, -0.743007952f, + 0.671558955f, -0.740951125f, + 0.673829000f, -0.738887324f, + 0.676092704f, -0.736816569f, + 0.678350043f, -0.734738878f, + 0.680600998f, -0.732654272f, + 0.682845546f, -0.730562769f, + 0.685083668f, -0.728464390f, + 0.687315341f, -0.726359155f, + 0.689540545f, -0.724247083f, + 0.691759258f, -0.722128194f, + 0.693971461f, -0.720002508f, + 0.696177131f, -0.717870045f, + 0.698376249f, -0.715730825f, + 0.700568794f, -0.713584869f, + 0.702754744f, -0.711432196f, + 0.704934080f, -0.709272826f, + 0.707106781f, -0.707106781f, + 0.709272826f, -0.704934080f, + 0.711432196f, -0.702754744f, + 0.713584869f, -0.700568794f, + 0.715730825f, -0.698376249f, + 0.717870045f, -0.696177131f, + 0.720002508f, -0.693971461f, + 0.722128194f, -0.691759258f, + 0.724247083f, -0.689540545f, + 0.726359155f, -0.687315341f, + 0.728464390f, -0.685083668f, + 0.730562769f, -0.682845546f, + 0.732654272f, -0.680600998f, + 0.734738878f, -0.678350043f, + 0.736816569f, -0.676092704f, + 0.738887324f, -0.673829000f, + 0.740951125f, -0.671558955f, + 0.743007952f, -0.669282588f, + 0.745057785f, -0.666999922f, + 0.747100606f, -0.664710978f, + 0.749136395f, -0.662415778f, + 0.751165132f, -0.660114342f, + 0.753186799f, -0.657806693f, + 0.755201377f, -0.655492853f, + 0.757208847f, -0.653172843f, + 0.759209189f, -0.650846685f, + 0.761202385f, -0.648514401f, + 0.763188417f, -0.646176013f, + 0.765167266f, -0.643831543f, + 0.767138912f, -0.641481013f, + 0.769103338f, -0.639124445f, + 0.771060524f, -0.636761861f, + 0.773010453f, -0.634393284f, + 0.774953107f, -0.632018736f, + 0.776888466f, -0.629638239f, + 0.778816512f, -0.627251815f, + 0.780737229f, -0.624859488f, + 0.782650596f, -0.622461279f, + 0.784556597f, -0.620057212f, + 0.786455214f, -0.617647308f, + 0.788346428f, -0.615231591f, + 0.790230221f, -0.612810082f, + 0.792106577f, -0.610382806f, + 0.793975478f, -0.607949785f, + 0.795836905f, -0.605511041f, + 0.797690841f, -0.603066599f, + 0.799537269f, -0.600616479f, + 0.801376172f, -0.598160707f, + 0.803207531f, -0.595699304f, + 0.805031331f, -0.593232295f, + 0.806847554f, -0.590759702f, + 0.808656182f, -0.588281548f, + 0.810457198f, -0.585797857f, + 0.812250587f, -0.583308653f, + 0.814036330f, -0.580813958f, + 0.815814411f, -0.578313796f, + 0.817584813f, -0.575808191f, + 0.819347520f, -0.573297167f, + 0.821102515f, -0.570780746f, + 0.822849781f, -0.568258953f, + 0.824589303f, -0.565731811f, + 0.826321063f, -0.563199344f, + 0.828045045f, -0.560661576f, + 0.829761234f, -0.558118531f, + 0.831469612f, -0.555570233f, + 0.833170165f, -0.553016706f, + 0.834862875f, -0.550457973f, + 0.836547727f, -0.547894059f, + 0.838224706f, -0.545324988f, + 0.839893794f, -0.542750785f, + 0.841554977f, -0.540171473f, + 0.843208240f, -0.537587076f, + 0.844853565f, -0.534997620f, + 0.846490939f, -0.532403128f, + 0.848120345f, -0.529803625f, + 0.849741768f, -0.527199135f, + 0.851355193f, -0.524589683f, + 0.852960605f, -0.521975293f, + 0.854557988f, -0.519355990f, + 0.856147328f, -0.516731799f, + 0.857728610f, -0.514102744f, + 0.859301818f, -0.511468850f, + 0.860866939f, -0.508830143f, + 0.862423956f, -0.506186645f, + 0.863972856f, -0.503538384f, + 0.865513624f, -0.500885383f, + 0.867046246f, -0.498227667f, + 0.868570706f, -0.495565262f, + 0.870086991f, -0.492898192f, + 0.871595087f, -0.490226483f, + 0.873094978f, -0.487550160f, + 0.874586652f, -0.484869248f, + 0.876070094f, -0.482183772f, + 0.877545290f, -0.479493758f, + 0.879012226f, -0.476799230f, + 0.880470889f, -0.474100215f, + 0.881921264f, -0.471396737f, + 0.883363339f, -0.468688822f, + 0.884797098f, -0.465976496f, + 0.886222530f, -0.463259784f, + 0.887639620f, -0.460538711f, + 0.889048356f, -0.457813304f, + 0.890448723f, -0.455083587f, + 0.891840709f, -0.452349587f, + 0.893224301f, -0.449611330f, + 0.894599486f, -0.446868840f, + 0.895966250f, -0.444122145f, + 0.897324581f, -0.441371269f, + 0.898674466f, -0.438616239f, + 0.900015892f, -0.435857080f, + 0.901348847f, -0.433093819f, + 0.902673318f, -0.430326481f, + 0.903989293f, -0.427555093f, + 0.905296759f, -0.424779681f, + 0.906595705f, -0.422000271f, + 0.907886116f, -0.419216888f, + 0.909167983f, -0.416429560f, + 0.910441292f, -0.413638312f, + 0.911706032f, -0.410843171f, + 0.912962190f, -0.408044163f, + 0.914209756f, -0.405241314f, + 0.915448716f, -0.402434651f, + 0.916679060f, -0.399624200f, + 0.917900776f, -0.396809987f, + 0.919113852f, -0.393992040f, + 0.920318277f, -0.391170384f, + 0.921514039f, -0.388345047f, + 0.922701128f, -0.385516054f, + 0.923879533f, -0.382683432f, + 0.925049241f, -0.379847209f, + 0.926210242f, -0.377007410f, + 0.927362526f, -0.374164063f, + 0.928506080f, -0.371317194f, + 0.929640896f, -0.368466830f, + 0.930766961f, -0.365612998f, + 0.931884266f, -0.362755724f, + 0.932992799f, -0.359895037f, + 0.934092550f, -0.357030961f, + 0.935183510f, -0.354163525f, + 0.936265667f, -0.351292756f, + 0.937339012f, -0.348418680f, + 0.938403534f, -0.345541325f, + 0.939459224f, -0.342660717f, + 0.940506071f, -0.339776884f, + 0.941544065f, -0.336889853f, + 0.942573198f, -0.333999651f, + 0.943593458f, -0.331106306f, + 0.944604837f, -0.328209844f, + 0.945607325f, -0.325310292f, + 0.946600913f, -0.322407679f, + 0.947585591f, -0.319502031f, + 0.948561350f, -0.316593376f, + 0.949528181f, -0.313681740f, + 0.950486074f, -0.310767153f, + 0.951435021f, -0.307849640f, + 0.952375013f, -0.304929230f, + 0.953306040f, -0.302005949f, + 0.954228095f, -0.299079826f, + 0.955141168f, -0.296150888f, + 0.956045251f, -0.293219163f, + 0.956940336f, -0.290284677f, + 0.957826413f, -0.287347460f, + 0.958703475f, -0.284407537f, + 0.959571513f, -0.281464938f, + 0.960430519f, -0.278519689f, + 0.961280486f, -0.275571819f, + 0.962121404f, -0.272621355f, + 0.962953267f, -0.269668326f, + 0.963776066f, -0.266712757f, + 0.964589793f, -0.263754679f, + 0.965394442f, -0.260794118f, + 0.966190003f, -0.257831102f, + 0.966976471f, -0.254865660f, + 0.967753837f, -0.251897818f, + 0.968522094f, -0.248927606f, + 0.969281235f, -0.245955050f, + 0.970031253f, -0.242980180f, + 0.970772141f, -0.240003022f, + 0.971503891f, -0.237023606f, + 0.972226497f, -0.234041959f, + 0.972939952f, -0.231058108f, + 0.973644250f, -0.228072083f, + 0.974339383f, -0.225083911f, + 0.975025345f, -0.222093621f, + 0.975702130f, -0.219101240f, + 0.976369731f, -0.216106797f, + 0.977028143f, -0.213110320f, + 0.977677358f, -0.210111837f, + 0.978317371f, -0.207111376f, + 0.978948175f, -0.204108966f, + 0.979569766f, -0.201104635f, + 0.980182136f, -0.198098411f, + 0.980785280f, -0.195090322f, + 0.981379193f, -0.192080397f, + 0.981963869f, -0.189068664f, + 0.982539302f, -0.186055152f, + 0.983105487f, -0.183039888f, + 0.983662419f, -0.180022901f, + 0.984210092f, -0.177004220f, + 0.984748502f, -0.173983873f, + 0.985277642f, -0.170961889f, + 0.985797509f, -0.167938295f, + 0.986308097f, -0.164913120f, + 0.986809402f, -0.161886394f, + 0.987301418f, -0.158858143f, + 0.987784142f, -0.155828398f, + 0.988257568f, -0.152797185f, + 0.988721692f, -0.149764535f, + 0.989176510f, -0.146730474f, + 0.989622017f, -0.143695033f, + 0.990058210f, -0.140658239f, + 0.990485084f, -0.137620122f, + 0.990902635f, -0.134580709f, + 0.991310860f, -0.131540029f, + 0.991709754f, -0.128498111f, + 0.992099313f, -0.125454983f, + 0.992479535f, -0.122410675f, + 0.992850414f, -0.119365215f, + 0.993211949f, -0.116318631f, + 0.993564136f, -0.113270952f, + 0.993906970f, -0.110222207f, + 0.994240449f, -0.107172425f, + 0.994564571f, -0.104121634f, + 0.994879331f, -0.101069863f, + 0.995184727f, -0.098017140f, + 0.995480755f, -0.094963495f, + 0.995767414f, -0.091908956f, + 0.996044701f, -0.088853553f, + 0.996312612f, -0.085797312f, + 0.996571146f, -0.082740265f, + 0.996820299f, -0.079682438f, + 0.997060070f, -0.076623861f, + 0.997290457f, -0.073564564f, + 0.997511456f, -0.070504573f, + 0.997723067f, -0.067443920f, + 0.997925286f, -0.064382631f, + 0.998118113f, -0.061320736f, + 0.998301545f, -0.058258265f, + 0.998475581f, -0.055195244f, + 0.998640218f, -0.052131705f, + 0.998795456f, -0.049067674f, + 0.998941293f, -0.046003182f, + 0.999077728f, -0.042938257f, + 0.999204759f, -0.039872928f, + 0.999322385f, -0.036807223f, + 0.999430605f, -0.033741172f, + 0.999529418f, -0.030674803f, + 0.999618822f, -0.027608146f, + 0.999698819f, -0.024541229f, + 0.999769405f, -0.021474080f, + 0.999830582f, -0.018406730f, + 0.999882347f, -0.015339206f, + 0.999924702f, -0.012271538f, + 0.999957645f, -0.009203755f, + 0.999981175f, -0.006135885f, + 0.999995294f, -0.003067957f +}; + +/** +* \par +* Example code for Floating-point Twiddle factors Generation: +* \par +*
for(i = 0; i< N/; i++)
+* {
+*	twiddleCoef[2*i]= cos(i * 2*PI/(float)N);
+*	twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N);
+* } 
+* \par +* where N = 4096 and PI = 3.14159265358979 +* \par +* Cos and Sin values are in interleaved fashion +* +*/ +const float32_t twiddleCoef_4096[8192] = { + 1.000000000f, 0.000000000f, + 0.999998823f, 0.001533980f, + 0.999995294f, 0.003067957f, + 0.999989411f, 0.004601926f, + 0.999981175f, 0.006135885f, + 0.999970586f, 0.007669829f, + 0.999957645f, 0.009203755f, + 0.999942350f, 0.010737659f, + 0.999924702f, 0.012271538f, + 0.999904701f, 0.013805389f, + 0.999882347f, 0.015339206f, + 0.999857641f, 0.016872988f, + 0.999830582f, 0.018406730f, + 0.999801170f, 0.019940429f, + 0.999769405f, 0.021474080f, + 0.999735288f, 0.023007681f, + 0.999698819f, 0.024541229f, + 0.999659997f, 0.026074718f, + 0.999618822f, 0.027608146f, + 0.999575296f, 0.029141509f, + 0.999529418f, 0.030674803f, + 0.999481187f, 0.032208025f, + 0.999430605f, 0.033741172f, + 0.999377670f, 0.035274239f, + 0.999322385f, 0.036807223f, + 0.999264747f, 0.038340120f, + 0.999204759f, 0.039872928f, + 0.999142419f, 0.041405641f, + 0.999077728f, 0.042938257f, + 0.999010686f, 0.044470772f, + 0.998941293f, 0.046003182f, + 0.998869550f, 0.047535484f, + 0.998795456f, 0.049067674f, + 0.998719012f, 0.050599749f, + 0.998640218f, 0.052131705f, + 0.998559074f, 0.053663538f, + 0.998475581f, 0.055195244f, + 0.998389737f, 0.056726821f, + 0.998301545f, 0.058258265f, + 0.998211003f, 0.059789571f, + 0.998118113f, 0.061320736f, + 0.998022874f, 0.062851758f, + 0.997925286f, 0.064382631f, + 0.997825350f, 0.065913353f, + 0.997723067f, 0.067443920f, + 0.997618435f, 0.068974328f, + 0.997511456f, 0.070504573f, + 0.997402130f, 0.072034653f, + 0.997290457f, 0.073564564f, + 0.997176437f, 0.075094301f, + 0.997060070f, 0.076623861f, + 0.996941358f, 0.078153242f, + 0.996820299f, 0.079682438f, + 0.996696895f, 0.081211447f, + 0.996571146f, 0.082740265f, + 0.996443051f, 0.084268888f, + 0.996312612f, 0.085797312f, + 0.996179829f, 0.087325535f, + 0.996044701f, 0.088853553f, + 0.995907229f, 0.090381361f, + 0.995767414f, 0.091908956f, + 0.995625256f, 0.093436336f, + 0.995480755f, 0.094963495f, + 0.995333912f, 0.096490431f, + 0.995184727f, 0.098017140f, + 0.995033199f, 0.099543619f, + 0.994879331f, 0.101069863f, + 0.994723121f, 0.102595869f, + 0.994564571f, 0.104121634f, + 0.994403680f, 0.105647154f, + 0.994240449f, 0.107172425f, + 0.994074879f, 0.108697444f, + 0.993906970f, 0.110222207f, + 0.993736722f, 0.111746711f, + 0.993564136f, 0.113270952f, + 0.993389211f, 0.114794927f, + 0.993211949f, 0.116318631f, + 0.993032350f, 0.117842062f, + 0.992850414f, 0.119365215f, + 0.992666142f, 0.120888087f, + 0.992479535f, 0.122410675f, + 0.992290591f, 0.123932975f, + 0.992099313f, 0.125454983f, + 0.991905700f, 0.126976696f, + 0.991709754f, 0.128498111f, + 0.991511473f, 0.130019223f, + 0.991310860f, 0.131540029f, + 0.991107914f, 0.133060525f, + 0.990902635f, 0.134580709f, + 0.990695025f, 0.136100575f, + 0.990485084f, 0.137620122f, + 0.990272812f, 0.139139344f, + 0.990058210f, 0.140658239f, + 0.989841278f, 0.142176804f, + 0.989622017f, 0.143695033f, + 0.989400428f, 0.145212925f, + 0.989176510f, 0.146730474f, + 0.988950265f, 0.148247679f, + 0.988721692f, 0.149764535f, + 0.988490793f, 0.151281038f, + 0.988257568f, 0.152797185f, + 0.988022017f, 0.154312973f, + 0.987784142f, 0.155828398f, + 0.987543942f, 0.157343456f, + 0.987301418f, 0.158858143f, + 0.987056571f, 0.160372457f, + 0.986809402f, 0.161886394f, + 0.986559910f, 0.163399949f, + 0.986308097f, 0.164913120f, + 0.986053963f, 0.166425904f, + 0.985797509f, 0.167938295f, + 0.985538735f, 0.169450291f, + 0.985277642f, 0.170961889f, + 0.985014231f, 0.172473084f, + 0.984748502f, 0.173983873f, + 0.984480455f, 0.175494253f, + 0.984210092f, 0.177004220f, + 0.983937413f, 0.178513771f, + 0.983662419f, 0.180022901f, + 0.983385110f, 0.181531608f, + 0.983105487f, 0.183039888f, + 0.982823551f, 0.184547737f, + 0.982539302f, 0.186055152f, + 0.982252741f, 0.187562129f, + 0.981963869f, 0.189068664f, + 0.981672686f, 0.190574755f, + 0.981379193f, 0.192080397f, + 0.981083391f, 0.193585587f, + 0.980785280f, 0.195090322f, + 0.980484862f, 0.196594598f, + 0.980182136f, 0.198098411f, + 0.979877104f, 0.199601758f, + 0.979569766f, 0.201104635f, + 0.979260123f, 0.202607039f, + 0.978948175f, 0.204108966f, + 0.978633924f, 0.205610413f, + 0.978317371f, 0.207111376f, + 0.977998515f, 0.208611852f, + 0.977677358f, 0.210111837f, + 0.977353900f, 0.211611327f, + 0.977028143f, 0.213110320f, + 0.976700086f, 0.214608811f, + 0.976369731f, 0.216106797f, + 0.976037079f, 0.217604275f, + 0.975702130f, 0.219101240f, + 0.975364885f, 0.220597690f, + 0.975025345f, 0.222093621f, + 0.974683511f, 0.223589029f, + 0.974339383f, 0.225083911f, + 0.973992962f, 0.226578264f, + 0.973644250f, 0.228072083f, + 0.973293246f, 0.229565366f, + 0.972939952f, 0.231058108f, + 0.972584369f, 0.232550307f, + 0.972226497f, 0.234041959f, + 0.971866337f, 0.235533059f, + 0.971503891f, 0.237023606f, + 0.971139158f, 0.238513595f, + 0.970772141f, 0.240003022f, + 0.970402839f, 0.241491885f, + 0.970031253f, 0.242980180f, + 0.969657385f, 0.244467903f, + 0.969281235f, 0.245955050f, + 0.968902805f, 0.247441619f, + 0.968522094f, 0.248927606f, + 0.968139105f, 0.250413007f, + 0.967753837f, 0.251897818f, + 0.967366292f, 0.253382037f, + 0.966976471f, 0.254865660f, + 0.966584374f, 0.256348682f, + 0.966190003f, 0.257831102f, + 0.965793359f, 0.259312915f, + 0.965394442f, 0.260794118f, + 0.964993253f, 0.262274707f, + 0.964589793f, 0.263754679f, + 0.964184064f, 0.265234030f, + 0.963776066f, 0.266712757f, + 0.963365800f, 0.268190857f, + 0.962953267f, 0.269668326f, + 0.962538468f, 0.271145160f, + 0.962121404f, 0.272621355f, + 0.961702077f, 0.274096910f, + 0.961280486f, 0.275571819f, + 0.960856633f, 0.277046080f, + 0.960430519f, 0.278519689f, + 0.960002146f, 0.279992643f, + 0.959571513f, 0.281464938f, + 0.959138622f, 0.282936570f, + 0.958703475f, 0.284407537f, + 0.958266071f, 0.285877835f, + 0.957826413f, 0.287347460f, + 0.957384501f, 0.288816408f, + 0.956940336f, 0.290284677f, + 0.956493919f, 0.291752263f, + 0.956045251f, 0.293219163f, + 0.955594334f, 0.294685372f, + 0.955141168f, 0.296150888f, + 0.954685755f, 0.297615707f, + 0.954228095f, 0.299079826f, + 0.953768190f, 0.300543241f, + 0.953306040f, 0.302005949f, + 0.952841648f, 0.303467947f, + 0.952375013f, 0.304929230f, + 0.951906137f, 0.306389795f, + 0.951435021f, 0.307849640f, + 0.950961666f, 0.309308760f, + 0.950486074f, 0.310767153f, + 0.950008245f, 0.312224814f, + 0.949528181f, 0.313681740f, + 0.949045882f, 0.315137929f, + 0.948561350f, 0.316593376f, + 0.948074586f, 0.318048077f, + 0.947585591f, 0.319502031f, + 0.947094366f, 0.320955232f, + 0.946600913f, 0.322407679f, + 0.946105232f, 0.323859367f, + 0.945607325f, 0.325310292f, + 0.945107193f, 0.326760452f, + 0.944604837f, 0.328209844f, + 0.944100258f, 0.329658463f, + 0.943593458f, 0.331106306f, + 0.943084437f, 0.332553370f, + 0.942573198f, 0.333999651f, + 0.942059740f, 0.335445147f, + 0.941544065f, 0.336889853f, + 0.941026175f, 0.338333767f, + 0.940506071f, 0.339776884f, + 0.939983753f, 0.341219202f, + 0.939459224f, 0.342660717f, + 0.938932484f, 0.344101426f, + 0.938403534f, 0.345541325f, + 0.937872376f, 0.346980411f, + 0.937339012f, 0.348418680f, + 0.936803442f, 0.349856130f, + 0.936265667f, 0.351292756f, + 0.935725689f, 0.352728556f, + 0.935183510f, 0.354163525f, + 0.934639130f, 0.355597662f, + 0.934092550f, 0.357030961f, + 0.933543773f, 0.358463421f, + 0.932992799f, 0.359895037f, + 0.932439629f, 0.361325806f, + 0.931884266f, 0.362755724f, + 0.931326709f, 0.364184790f, + 0.930766961f, 0.365612998f, + 0.930205023f, 0.367040346f, + 0.929640896f, 0.368466830f, + 0.929074581f, 0.369892447f, + 0.928506080f, 0.371317194f, + 0.927935395f, 0.372741067f, + 0.927362526f, 0.374164063f, + 0.926787474f, 0.375586178f, + 0.926210242f, 0.377007410f, + 0.925630831f, 0.378427755f, + 0.925049241f, 0.379847209f, + 0.924465474f, 0.381265769f, + 0.923879533f, 0.382683432f, + 0.923291417f, 0.384100195f, + 0.922701128f, 0.385516054f, + 0.922108669f, 0.386931006f, + 0.921514039f, 0.388345047f, + 0.920917242f, 0.389758174f, + 0.920318277f, 0.391170384f, + 0.919717146f, 0.392581674f, + 0.919113852f, 0.393992040f, + 0.918508394f, 0.395401479f, + 0.917900776f, 0.396809987f, + 0.917290997f, 0.398217562f, + 0.916679060f, 0.399624200f, + 0.916064966f, 0.401029897f, + 0.915448716f, 0.402434651f, + 0.914830312f, 0.403838458f, + 0.914209756f, 0.405241314f, + 0.913587048f, 0.406643217f, + 0.912962190f, 0.408044163f, + 0.912335185f, 0.409444149f, + 0.911706032f, 0.410843171f, + 0.911074734f, 0.412241227f, + 0.910441292f, 0.413638312f, + 0.909805708f, 0.415034424f, + 0.909167983f, 0.416429560f, + 0.908528119f, 0.417823716f, + 0.907886116f, 0.419216888f, + 0.907241978f, 0.420609074f, + 0.906595705f, 0.422000271f, + 0.905947298f, 0.423390474f, + 0.905296759f, 0.424779681f, + 0.904644091f, 0.426167889f, + 0.903989293f, 0.427555093f, + 0.903332368f, 0.428941292f, + 0.902673318f, 0.430326481f, + 0.902012144f, 0.431710658f, + 0.901348847f, 0.433093819f, + 0.900683429f, 0.434475961f, + 0.900015892f, 0.435857080f, + 0.899346237f, 0.437237174f, + 0.898674466f, 0.438616239f, + 0.898000580f, 0.439994271f, + 0.897324581f, 0.441371269f, + 0.896646470f, 0.442747228f, + 0.895966250f, 0.444122145f, + 0.895283921f, 0.445496017f, + 0.894599486f, 0.446868840f, + 0.893912945f, 0.448240612f, + 0.893224301f, 0.449611330f, + 0.892533555f, 0.450980989f, + 0.891840709f, 0.452349587f, + 0.891145765f, 0.453717121f, + 0.890448723f, 0.455083587f, + 0.889749586f, 0.456448982f, + 0.889048356f, 0.457813304f, + 0.888345033f, 0.459176548f, + 0.887639620f, 0.460538711f, + 0.886932119f, 0.461899791f, + 0.886222530f, 0.463259784f, + 0.885510856f, 0.464618686f, + 0.884797098f, 0.465976496f, + 0.884081259f, 0.467333209f, + 0.883363339f, 0.468688822f, + 0.882643340f, 0.470043332f, + 0.881921264f, 0.471396737f, + 0.881197113f, 0.472749032f, + 0.880470889f, 0.474100215f, + 0.879742593f, 0.475450282f, + 0.879012226f, 0.476799230f, + 0.878279792f, 0.478147056f, + 0.877545290f, 0.479493758f, + 0.876808724f, 0.480839331f, + 0.876070094f, 0.482183772f, + 0.875329403f, 0.483527079f, + 0.874586652f, 0.484869248f, + 0.873841843f, 0.486210276f, + 0.873094978f, 0.487550160f, + 0.872346059f, 0.488888897f, + 0.871595087f, 0.490226483f, + 0.870842063f, 0.491562916f, + 0.870086991f, 0.492898192f, + 0.869329871f, 0.494232309f, + 0.868570706f, 0.495565262f, + 0.867809497f, 0.496897049f, + 0.867046246f, 0.498227667f, + 0.866280954f, 0.499557113f, + 0.865513624f, 0.500885383f, + 0.864744258f, 0.502212474f, + 0.863972856f, 0.503538384f, + 0.863199422f, 0.504863109f, + 0.862423956f, 0.506186645f, + 0.861646461f, 0.507508991f, + 0.860866939f, 0.508830143f, + 0.860085390f, 0.510150097f, + 0.859301818f, 0.511468850f, + 0.858516224f, 0.512786401f, + 0.857728610f, 0.514102744f, + 0.856938977f, 0.515417878f, + 0.856147328f, 0.516731799f, + 0.855353665f, 0.518044504f, + 0.854557988f, 0.519355990f, + 0.853760301f, 0.520666254f, + 0.852960605f, 0.521975293f, + 0.852158902f, 0.523283103f, + 0.851355193f, 0.524589683f, + 0.850549481f, 0.525895027f, + 0.849741768f, 0.527199135f, + 0.848932055f, 0.528502002f, + 0.848120345f, 0.529803625f, + 0.847306639f, 0.531104001f, + 0.846490939f, 0.532403128f, + 0.845673247f, 0.533701002f, + 0.844853565f, 0.534997620f, + 0.844031895f, 0.536292979f, + 0.843208240f, 0.537587076f, + 0.842382600f, 0.538879909f, + 0.841554977f, 0.540171473f, + 0.840725375f, 0.541461766f, + 0.839893794f, 0.542750785f, + 0.839060237f, 0.544038527f, + 0.838224706f, 0.545324988f, + 0.837387202f, 0.546610167f, + 0.836547727f, 0.547894059f, + 0.835706284f, 0.549176662f, + 0.834862875f, 0.550457973f, + 0.834017501f, 0.551737988f, + 0.833170165f, 0.553016706f, + 0.832320868f, 0.554294121f, + 0.831469612f, 0.555570233f, + 0.830616400f, 0.556845037f, + 0.829761234f, 0.558118531f, + 0.828904115f, 0.559390712f, + 0.828045045f, 0.560661576f, + 0.827184027f, 0.561931121f, + 0.826321063f, 0.563199344f, + 0.825456154f, 0.564466242f, + 0.824589303f, 0.565731811f, + 0.823720511f, 0.566996049f, + 0.822849781f, 0.568258953f, + 0.821977115f, 0.569520519f, + 0.821102515f, 0.570780746f, + 0.820225983f, 0.572039629f, + 0.819347520f, 0.573297167f, + 0.818467130f, 0.574553355f, + 0.817584813f, 0.575808191f, + 0.816700573f, 0.577061673f, + 0.815814411f, 0.578313796f, + 0.814926329f, 0.579564559f, + 0.814036330f, 0.580813958f, + 0.813144415f, 0.582061990f, + 0.812250587f, 0.583308653f, + 0.811354847f, 0.584553943f, + 0.810457198f, 0.585797857f, + 0.809557642f, 0.587040394f, + 0.808656182f, 0.588281548f, + 0.807752818f, 0.589521319f, + 0.806847554f, 0.590759702f, + 0.805940391f, 0.591996695f, + 0.805031331f, 0.593232295f, + 0.804120377f, 0.594466499f, + 0.803207531f, 0.595699304f, + 0.802292796f, 0.596930708f, + 0.801376172f, 0.598160707f, + 0.800457662f, 0.599389298f, + 0.799537269f, 0.600616479f, + 0.798614995f, 0.601842247f, + 0.797690841f, 0.603066599f, + 0.796764810f, 0.604289531f, + 0.795836905f, 0.605511041f, + 0.794907126f, 0.606731127f, + 0.793975478f, 0.607949785f, + 0.793041960f, 0.609167012f, + 0.792106577f, 0.610382806f, + 0.791169330f, 0.611597164f, + 0.790230221f, 0.612810082f, + 0.789289253f, 0.614021559f, + 0.788346428f, 0.615231591f, + 0.787401747f, 0.616440175f, + 0.786455214f, 0.617647308f, + 0.785506830f, 0.618852988f, + 0.784556597f, 0.620057212f, + 0.783604519f, 0.621259977f, + 0.782650596f, 0.622461279f, + 0.781694832f, 0.623661118f, + 0.780737229f, 0.624859488f, + 0.779777788f, 0.626056388f, + 0.778816512f, 0.627251815f, + 0.777853404f, 0.628445767f, + 0.776888466f, 0.629638239f, + 0.775921699f, 0.630829230f, + 0.774953107f, 0.632018736f, + 0.773982691f, 0.633206755f, + 0.773010453f, 0.634393284f, + 0.772036397f, 0.635578320f, + 0.771060524f, 0.636761861f, + 0.770082837f, 0.637943904f, + 0.769103338f, 0.639124445f, + 0.768122029f, 0.640303482f, + 0.767138912f, 0.641481013f, + 0.766153990f, 0.642657034f, + 0.765167266f, 0.643831543f, + 0.764178741f, 0.645004537f, + 0.763188417f, 0.646176013f, + 0.762196298f, 0.647345969f, + 0.761202385f, 0.648514401f, + 0.760206682f, 0.649681307f, + 0.759209189f, 0.650846685f, + 0.758209910f, 0.652010531f, + 0.757208847f, 0.653172843f, + 0.756206001f, 0.654333618f, + 0.755201377f, 0.655492853f, + 0.754194975f, 0.656650546f, + 0.753186799f, 0.657806693f, + 0.752176850f, 0.658961293f, + 0.751165132f, 0.660114342f, + 0.750151646f, 0.661265838f, + 0.749136395f, 0.662415778f, + 0.748119380f, 0.663564159f, + 0.747100606f, 0.664710978f, + 0.746080074f, 0.665856234f, + 0.745057785f, 0.666999922f, + 0.744033744f, 0.668142041f, + 0.743007952f, 0.669282588f, + 0.741980412f, 0.670421560f, + 0.740951125f, 0.671558955f, + 0.739920095f, 0.672694769f, + 0.738887324f, 0.673829000f, + 0.737852815f, 0.674961646f, + 0.736816569f, 0.676092704f, + 0.735778589f, 0.677222170f, + 0.734738878f, 0.678350043f, + 0.733697438f, 0.679476320f, + 0.732654272f, 0.680600998f, + 0.731609381f, 0.681724074f, + 0.730562769f, 0.682845546f, + 0.729514438f, 0.683965412f, + 0.728464390f, 0.685083668f, + 0.727412629f, 0.686200312f, + 0.726359155f, 0.687315341f, + 0.725303972f, 0.688428753f, + 0.724247083f, 0.689540545f, + 0.723188489f, 0.690650714f, + 0.722128194f, 0.691759258f, + 0.721066199f, 0.692866175f, + 0.720002508f, 0.693971461f, + 0.718937122f, 0.695075114f, + 0.717870045f, 0.696177131f, + 0.716801279f, 0.697277511f, + 0.715730825f, 0.698376249f, + 0.714658688f, 0.699473345f, + 0.713584869f, 0.700568794f, + 0.712509371f, 0.701662595f, + 0.711432196f, 0.702754744f, + 0.710353347f, 0.703845241f, + 0.709272826f, 0.704934080f, + 0.708190637f, 0.706021261f, + 0.707106781f, 0.707106781f, + 0.706021261f, 0.708190637f, + 0.704934080f, 0.709272826f, + 0.703845241f, 0.710353347f, + 0.702754744f, 0.711432196f, + 0.701662595f, 0.712509371f, + 0.700568794f, 0.713584869f, + 0.699473345f, 0.714658688f, + 0.698376249f, 0.715730825f, + 0.697277511f, 0.716801279f, + 0.696177131f, 0.717870045f, + 0.695075114f, 0.718937122f, + 0.693971461f, 0.720002508f, + 0.692866175f, 0.721066199f, + 0.691759258f, 0.722128194f, + 0.690650714f, 0.723188489f, + 0.689540545f, 0.724247083f, + 0.688428753f, 0.725303972f, + 0.687315341f, 0.726359155f, + 0.686200312f, 0.727412629f, + 0.685083668f, 0.728464390f, + 0.683965412f, 0.729514438f, + 0.682845546f, 0.730562769f, + 0.681724074f, 0.731609381f, + 0.680600998f, 0.732654272f, + 0.679476320f, 0.733697438f, + 0.678350043f, 0.734738878f, + 0.677222170f, 0.735778589f, + 0.676092704f, 0.736816569f, + 0.674961646f, 0.737852815f, + 0.673829000f, 0.738887324f, + 0.672694769f, 0.739920095f, + 0.671558955f, 0.740951125f, + 0.670421560f, 0.741980412f, + 0.669282588f, 0.743007952f, + 0.668142041f, 0.744033744f, + 0.666999922f, 0.745057785f, + 0.665856234f, 0.746080074f, + 0.664710978f, 0.747100606f, + 0.663564159f, 0.748119380f, + 0.662415778f, 0.749136395f, + 0.661265838f, 0.750151646f, + 0.660114342f, 0.751165132f, + 0.658961293f, 0.752176850f, + 0.657806693f, 0.753186799f, + 0.656650546f, 0.754194975f, + 0.655492853f, 0.755201377f, + 0.654333618f, 0.756206001f, + 0.653172843f, 0.757208847f, + 0.652010531f, 0.758209910f, + 0.650846685f, 0.759209189f, + 0.649681307f, 0.760206682f, + 0.648514401f, 0.761202385f, + 0.647345969f, 0.762196298f, + 0.646176013f, 0.763188417f, + 0.645004537f, 0.764178741f, + 0.643831543f, 0.765167266f, + 0.642657034f, 0.766153990f, + 0.641481013f, 0.767138912f, + 0.640303482f, 0.768122029f, + 0.639124445f, 0.769103338f, + 0.637943904f, 0.770082837f, + 0.636761861f, 0.771060524f, + 0.635578320f, 0.772036397f, + 0.634393284f, 0.773010453f, + 0.633206755f, 0.773982691f, + 0.632018736f, 0.774953107f, + 0.630829230f, 0.775921699f, + 0.629638239f, 0.776888466f, + 0.628445767f, 0.777853404f, + 0.627251815f, 0.778816512f, + 0.626056388f, 0.779777788f, + 0.624859488f, 0.780737229f, + 0.623661118f, 0.781694832f, + 0.622461279f, 0.782650596f, + 0.621259977f, 0.783604519f, + 0.620057212f, 0.784556597f, + 0.618852988f, 0.785506830f, + 0.617647308f, 0.786455214f, + 0.616440175f, 0.787401747f, + 0.615231591f, 0.788346428f, + 0.614021559f, 0.789289253f, + 0.612810082f, 0.790230221f, + 0.611597164f, 0.791169330f, + 0.610382806f, 0.792106577f, + 0.609167012f, 0.793041960f, + 0.607949785f, 0.793975478f, + 0.606731127f, 0.794907126f, + 0.605511041f, 0.795836905f, + 0.604289531f, 0.796764810f, + 0.603066599f, 0.797690841f, + 0.601842247f, 0.798614995f, + 0.600616479f, 0.799537269f, + 0.599389298f, 0.800457662f, + 0.598160707f, 0.801376172f, + 0.596930708f, 0.802292796f, + 0.595699304f, 0.803207531f, + 0.594466499f, 0.804120377f, + 0.593232295f, 0.805031331f, + 0.591996695f, 0.805940391f, + 0.590759702f, 0.806847554f, + 0.589521319f, 0.807752818f, + 0.588281548f, 0.808656182f, + 0.587040394f, 0.809557642f, + 0.585797857f, 0.810457198f, + 0.584553943f, 0.811354847f, + 0.583308653f, 0.812250587f, + 0.582061990f, 0.813144415f, + 0.580813958f, 0.814036330f, + 0.579564559f, 0.814926329f, + 0.578313796f, 0.815814411f, + 0.577061673f, 0.816700573f, + 0.575808191f, 0.817584813f, + 0.574553355f, 0.818467130f, + 0.573297167f, 0.819347520f, + 0.572039629f, 0.820225983f, + 0.570780746f, 0.821102515f, + 0.569520519f, 0.821977115f, + 0.568258953f, 0.822849781f, + 0.566996049f, 0.823720511f, + 0.565731811f, 0.824589303f, + 0.564466242f, 0.825456154f, + 0.563199344f, 0.826321063f, + 0.561931121f, 0.827184027f, + 0.560661576f, 0.828045045f, + 0.559390712f, 0.828904115f, + 0.558118531f, 0.829761234f, + 0.556845037f, 0.830616400f, + 0.555570233f, 0.831469612f, + 0.554294121f, 0.832320868f, + 0.553016706f, 0.833170165f, + 0.551737988f, 0.834017501f, + 0.550457973f, 0.834862875f, + 0.549176662f, 0.835706284f, + 0.547894059f, 0.836547727f, + 0.546610167f, 0.837387202f, + 0.545324988f, 0.838224706f, + 0.544038527f, 0.839060237f, + 0.542750785f, 0.839893794f, + 0.541461766f, 0.840725375f, + 0.540171473f, 0.841554977f, + 0.538879909f, 0.842382600f, + 0.537587076f, 0.843208240f, + 0.536292979f, 0.844031895f, + 0.534997620f, 0.844853565f, + 0.533701002f, 0.845673247f, + 0.532403128f, 0.846490939f, + 0.531104001f, 0.847306639f, + 0.529803625f, 0.848120345f, + 0.528502002f, 0.848932055f, + 0.527199135f, 0.849741768f, + 0.525895027f, 0.850549481f, + 0.524589683f, 0.851355193f, + 0.523283103f, 0.852158902f, + 0.521975293f, 0.852960605f, + 0.520666254f, 0.853760301f, + 0.519355990f, 0.854557988f, + 0.518044504f, 0.855353665f, + 0.516731799f, 0.856147328f, + 0.515417878f, 0.856938977f, + 0.514102744f, 0.857728610f, + 0.512786401f, 0.858516224f, + 0.511468850f, 0.859301818f, + 0.510150097f, 0.860085390f, + 0.508830143f, 0.860866939f, + 0.507508991f, 0.861646461f, + 0.506186645f, 0.862423956f, + 0.504863109f, 0.863199422f, + 0.503538384f, 0.863972856f, + 0.502212474f, 0.864744258f, + 0.500885383f, 0.865513624f, + 0.499557113f, 0.866280954f, + 0.498227667f, 0.867046246f, + 0.496897049f, 0.867809497f, + 0.495565262f, 0.868570706f, + 0.494232309f, 0.869329871f, + 0.492898192f, 0.870086991f, + 0.491562916f, 0.870842063f, + 0.490226483f, 0.871595087f, + 0.488888897f, 0.872346059f, + 0.487550160f, 0.873094978f, + 0.486210276f, 0.873841843f, + 0.484869248f, 0.874586652f, + 0.483527079f, 0.875329403f, + 0.482183772f, 0.876070094f, + 0.480839331f, 0.876808724f, + 0.479493758f, 0.877545290f, + 0.478147056f, 0.878279792f, + 0.476799230f, 0.879012226f, + 0.475450282f, 0.879742593f, + 0.474100215f, 0.880470889f, + 0.472749032f, 0.881197113f, + 0.471396737f, 0.881921264f, + 0.470043332f, 0.882643340f, + 0.468688822f, 0.883363339f, + 0.467333209f, 0.884081259f, + 0.465976496f, 0.884797098f, + 0.464618686f, 0.885510856f, + 0.463259784f, 0.886222530f, + 0.461899791f, 0.886932119f, + 0.460538711f, 0.887639620f, + 0.459176548f, 0.888345033f, + 0.457813304f, 0.889048356f, + 0.456448982f, 0.889749586f, + 0.455083587f, 0.890448723f, + 0.453717121f, 0.891145765f, + 0.452349587f, 0.891840709f, + 0.450980989f, 0.892533555f, + 0.449611330f, 0.893224301f, + 0.448240612f, 0.893912945f, + 0.446868840f, 0.894599486f, + 0.445496017f, 0.895283921f, + 0.444122145f, 0.895966250f, + 0.442747228f, 0.896646470f, + 0.441371269f, 0.897324581f, + 0.439994271f, 0.898000580f, + 0.438616239f, 0.898674466f, + 0.437237174f, 0.899346237f, + 0.435857080f, 0.900015892f, + 0.434475961f, 0.900683429f, + 0.433093819f, 0.901348847f, + 0.431710658f, 0.902012144f, + 0.430326481f, 0.902673318f, + 0.428941292f, 0.903332368f, + 0.427555093f, 0.903989293f, + 0.426167889f, 0.904644091f, + 0.424779681f, 0.905296759f, + 0.423390474f, 0.905947298f, + 0.422000271f, 0.906595705f, + 0.420609074f, 0.907241978f, + 0.419216888f, 0.907886116f, + 0.417823716f, 0.908528119f, + 0.416429560f, 0.909167983f, + 0.415034424f, 0.909805708f, + 0.413638312f, 0.910441292f, + 0.412241227f, 0.911074734f, + 0.410843171f, 0.911706032f, + 0.409444149f, 0.912335185f, + 0.408044163f, 0.912962190f, + 0.406643217f, 0.913587048f, + 0.405241314f, 0.914209756f, + 0.403838458f, 0.914830312f, + 0.402434651f, 0.915448716f, + 0.401029897f, 0.916064966f, + 0.399624200f, 0.916679060f, + 0.398217562f, 0.917290997f, + 0.396809987f, 0.917900776f, + 0.395401479f, 0.918508394f, + 0.393992040f, 0.919113852f, + 0.392581674f, 0.919717146f, + 0.391170384f, 0.920318277f, + 0.389758174f, 0.920917242f, + 0.388345047f, 0.921514039f, + 0.386931006f, 0.922108669f, + 0.385516054f, 0.922701128f, + 0.384100195f, 0.923291417f, + 0.382683432f, 0.923879533f, + 0.381265769f, 0.924465474f, + 0.379847209f, 0.925049241f, + 0.378427755f, 0.925630831f, + 0.377007410f, 0.926210242f, + 0.375586178f, 0.926787474f, + 0.374164063f, 0.927362526f, + 0.372741067f, 0.927935395f, + 0.371317194f, 0.928506080f, + 0.369892447f, 0.929074581f, + 0.368466830f, 0.929640896f, + 0.367040346f, 0.930205023f, + 0.365612998f, 0.930766961f, + 0.364184790f, 0.931326709f, + 0.362755724f, 0.931884266f, + 0.361325806f, 0.932439629f, + 0.359895037f, 0.932992799f, + 0.358463421f, 0.933543773f, + 0.357030961f, 0.934092550f, + 0.355597662f, 0.934639130f, + 0.354163525f, 0.935183510f, + 0.352728556f, 0.935725689f, + 0.351292756f, 0.936265667f, + 0.349856130f, 0.936803442f, + 0.348418680f, 0.937339012f, + 0.346980411f, 0.937872376f, + 0.345541325f, 0.938403534f, + 0.344101426f, 0.938932484f, + 0.342660717f, 0.939459224f, + 0.341219202f, 0.939983753f, + 0.339776884f, 0.940506071f, + 0.338333767f, 0.941026175f, + 0.336889853f, 0.941544065f, + 0.335445147f, 0.942059740f, + 0.333999651f, 0.942573198f, + 0.332553370f, 0.943084437f, + 0.331106306f, 0.943593458f, + 0.329658463f, 0.944100258f, + 0.328209844f, 0.944604837f, + 0.326760452f, 0.945107193f, + 0.325310292f, 0.945607325f, + 0.323859367f, 0.946105232f, + 0.322407679f, 0.946600913f, + 0.320955232f, 0.947094366f, + 0.319502031f, 0.947585591f, + 0.318048077f, 0.948074586f, + 0.316593376f, 0.948561350f, + 0.315137929f, 0.949045882f, + 0.313681740f, 0.949528181f, + 0.312224814f, 0.950008245f, + 0.310767153f, 0.950486074f, + 0.309308760f, 0.950961666f, + 0.307849640f, 0.951435021f, + 0.306389795f, 0.951906137f, + 0.304929230f, 0.952375013f, + 0.303467947f, 0.952841648f, + 0.302005949f, 0.953306040f, + 0.300543241f, 0.953768190f, + 0.299079826f, 0.954228095f, + 0.297615707f, 0.954685755f, + 0.296150888f, 0.955141168f, + 0.294685372f, 0.955594334f, + 0.293219163f, 0.956045251f, + 0.291752263f, 0.956493919f, + 0.290284677f, 0.956940336f, + 0.288816408f, 0.957384501f, + 0.287347460f, 0.957826413f, + 0.285877835f, 0.958266071f, + 0.284407537f, 0.958703475f, + 0.282936570f, 0.959138622f, + 0.281464938f, 0.959571513f, + 0.279992643f, 0.960002146f, + 0.278519689f, 0.960430519f, + 0.277046080f, 0.960856633f, + 0.275571819f, 0.961280486f, + 0.274096910f, 0.961702077f, + 0.272621355f, 0.962121404f, + 0.271145160f, 0.962538468f, + 0.269668326f, 0.962953267f, + 0.268190857f, 0.963365800f, + 0.266712757f, 0.963776066f, + 0.265234030f, 0.964184064f, + 0.263754679f, 0.964589793f, + 0.262274707f, 0.964993253f, + 0.260794118f, 0.965394442f, + 0.259312915f, 0.965793359f, + 0.257831102f, 0.966190003f, + 0.256348682f, 0.966584374f, + 0.254865660f, 0.966976471f, + 0.253382037f, 0.967366292f, + 0.251897818f, 0.967753837f, + 0.250413007f, 0.968139105f, + 0.248927606f, 0.968522094f, + 0.247441619f, 0.968902805f, + 0.245955050f, 0.969281235f, + 0.244467903f, 0.969657385f, + 0.242980180f, 0.970031253f, + 0.241491885f, 0.970402839f, + 0.240003022f, 0.970772141f, + 0.238513595f, 0.971139158f, + 0.237023606f, 0.971503891f, + 0.235533059f, 0.971866337f, + 0.234041959f, 0.972226497f, + 0.232550307f, 0.972584369f, + 0.231058108f, 0.972939952f, + 0.229565366f, 0.973293246f, + 0.228072083f, 0.973644250f, + 0.226578264f, 0.973992962f, + 0.225083911f, 0.974339383f, + 0.223589029f, 0.974683511f, + 0.222093621f, 0.975025345f, + 0.220597690f, 0.975364885f, + 0.219101240f, 0.975702130f, + 0.217604275f, 0.976037079f, + 0.216106797f, 0.976369731f, + 0.214608811f, 0.976700086f, + 0.213110320f, 0.977028143f, + 0.211611327f, 0.977353900f, + 0.210111837f, 0.977677358f, + 0.208611852f, 0.977998515f, + 0.207111376f, 0.978317371f, + 0.205610413f, 0.978633924f, + 0.204108966f, 0.978948175f, + 0.202607039f, 0.979260123f, + 0.201104635f, 0.979569766f, + 0.199601758f, 0.979877104f, + 0.198098411f, 0.980182136f, + 0.196594598f, 0.980484862f, + 0.195090322f, 0.980785280f, + 0.193585587f, 0.981083391f, + 0.192080397f, 0.981379193f, + 0.190574755f, 0.981672686f, + 0.189068664f, 0.981963869f, + 0.187562129f, 0.982252741f, + 0.186055152f, 0.982539302f, + 0.184547737f, 0.982823551f, + 0.183039888f, 0.983105487f, + 0.181531608f, 0.983385110f, + 0.180022901f, 0.983662419f, + 0.178513771f, 0.983937413f, + 0.177004220f, 0.984210092f, + 0.175494253f, 0.984480455f, + 0.173983873f, 0.984748502f, + 0.172473084f, 0.985014231f, + 0.170961889f, 0.985277642f, + 0.169450291f, 0.985538735f, + 0.167938295f, 0.985797509f, + 0.166425904f, 0.986053963f, + 0.164913120f, 0.986308097f, + 0.163399949f, 0.986559910f, + 0.161886394f, 0.986809402f, + 0.160372457f, 0.987056571f, + 0.158858143f, 0.987301418f, + 0.157343456f, 0.987543942f, + 0.155828398f, 0.987784142f, + 0.154312973f, 0.988022017f, + 0.152797185f, 0.988257568f, + 0.151281038f, 0.988490793f, + 0.149764535f, 0.988721692f, + 0.148247679f, 0.988950265f, + 0.146730474f, 0.989176510f, + 0.145212925f, 0.989400428f, + 0.143695033f, 0.989622017f, + 0.142176804f, 0.989841278f, + 0.140658239f, 0.990058210f, + 0.139139344f, 0.990272812f, + 0.137620122f, 0.990485084f, + 0.136100575f, 0.990695025f, + 0.134580709f, 0.990902635f, + 0.133060525f, 0.991107914f, + 0.131540029f, 0.991310860f, + 0.130019223f, 0.991511473f, + 0.128498111f, 0.991709754f, + 0.126976696f, 0.991905700f, + 0.125454983f, 0.992099313f, + 0.123932975f, 0.992290591f, + 0.122410675f, 0.992479535f, + 0.120888087f, 0.992666142f, + 0.119365215f, 0.992850414f, + 0.117842062f, 0.993032350f, + 0.116318631f, 0.993211949f, + 0.114794927f, 0.993389211f, + 0.113270952f, 0.993564136f, + 0.111746711f, 0.993736722f, + 0.110222207f, 0.993906970f, + 0.108697444f, 0.994074879f, + 0.107172425f, 0.994240449f, + 0.105647154f, 0.994403680f, + 0.104121634f, 0.994564571f, + 0.102595869f, 0.994723121f, + 0.101069863f, 0.994879331f, + 0.099543619f, 0.995033199f, + 0.098017140f, 0.995184727f, + 0.096490431f, 0.995333912f, + 0.094963495f, 0.995480755f, + 0.093436336f, 0.995625256f, + 0.091908956f, 0.995767414f, + 0.090381361f, 0.995907229f, + 0.088853553f, 0.996044701f, + 0.087325535f, 0.996179829f, + 0.085797312f, 0.996312612f, + 0.084268888f, 0.996443051f, + 0.082740265f, 0.996571146f, + 0.081211447f, 0.996696895f, + 0.079682438f, 0.996820299f, + 0.078153242f, 0.996941358f, + 0.076623861f, 0.997060070f, + 0.075094301f, 0.997176437f, + 0.073564564f, 0.997290457f, + 0.072034653f, 0.997402130f, + 0.070504573f, 0.997511456f, + 0.068974328f, 0.997618435f, + 0.067443920f, 0.997723067f, + 0.065913353f, 0.997825350f, + 0.064382631f, 0.997925286f, + 0.062851758f, 0.998022874f, + 0.061320736f, 0.998118113f, + 0.059789571f, 0.998211003f, + 0.058258265f, 0.998301545f, + 0.056726821f, 0.998389737f, + 0.055195244f, 0.998475581f, + 0.053663538f, 0.998559074f, + 0.052131705f, 0.998640218f, + 0.050599749f, 0.998719012f, + 0.049067674f, 0.998795456f, + 0.047535484f, 0.998869550f, + 0.046003182f, 0.998941293f, + 0.044470772f, 0.999010686f, + 0.042938257f, 0.999077728f, + 0.041405641f, 0.999142419f, + 0.039872928f, 0.999204759f, + 0.038340120f, 0.999264747f, + 0.036807223f, 0.999322385f, + 0.035274239f, 0.999377670f, + 0.033741172f, 0.999430605f, + 0.032208025f, 0.999481187f, + 0.030674803f, 0.999529418f, + 0.029141509f, 0.999575296f, + 0.027608146f, 0.999618822f, + 0.026074718f, 0.999659997f, + 0.024541229f, 0.999698819f, + 0.023007681f, 0.999735288f, + 0.021474080f, 0.999769405f, + 0.019940429f, 0.999801170f, + 0.018406730f, 0.999830582f, + 0.016872988f, 0.999857641f, + 0.015339206f, 0.999882347f, + 0.013805389f, 0.999904701f, + 0.012271538f, 0.999924702f, + 0.010737659f, 0.999942350f, + 0.009203755f, 0.999957645f, + 0.007669829f, 0.999970586f, + 0.006135885f, 0.999981175f, + 0.004601926f, 0.999989411f, + 0.003067957f, 0.999995294f, + 0.001533980f, 0.999998823f, + 0.000000000f, 1.000000000f, + -0.001533980f, 0.999998823f, + -0.003067957f, 0.999995294f, + -0.004601926f, 0.999989411f, + -0.006135885f, 0.999981175f, + -0.007669829f, 0.999970586f, + -0.009203755f, 0.999957645f, + -0.010737659f, 0.999942350f, + -0.012271538f, 0.999924702f, + -0.013805389f, 0.999904701f, + -0.015339206f, 0.999882347f, + -0.016872988f, 0.999857641f, + -0.018406730f, 0.999830582f, + -0.019940429f, 0.999801170f, + -0.021474080f, 0.999769405f, + -0.023007681f, 0.999735288f, + -0.024541229f, 0.999698819f, + -0.026074718f, 0.999659997f, + -0.027608146f, 0.999618822f, + -0.029141509f, 0.999575296f, + -0.030674803f, 0.999529418f, + -0.032208025f, 0.999481187f, + -0.033741172f, 0.999430605f, + -0.035274239f, 0.999377670f, + -0.036807223f, 0.999322385f, + -0.038340120f, 0.999264747f, + -0.039872928f, 0.999204759f, + -0.041405641f, 0.999142419f, + -0.042938257f, 0.999077728f, + -0.044470772f, 0.999010686f, + -0.046003182f, 0.998941293f, + -0.047535484f, 0.998869550f, + -0.049067674f, 0.998795456f, + -0.050599749f, 0.998719012f, + -0.052131705f, 0.998640218f, + -0.053663538f, 0.998559074f, + -0.055195244f, 0.998475581f, + -0.056726821f, 0.998389737f, + -0.058258265f, 0.998301545f, + -0.059789571f, 0.998211003f, + -0.061320736f, 0.998118113f, + -0.062851758f, 0.998022874f, + -0.064382631f, 0.997925286f, + -0.065913353f, 0.997825350f, + -0.067443920f, 0.997723067f, + -0.068974328f, 0.997618435f, + -0.070504573f, 0.997511456f, + -0.072034653f, 0.997402130f, + -0.073564564f, 0.997290457f, + -0.075094301f, 0.997176437f, + -0.076623861f, 0.997060070f, + -0.078153242f, 0.996941358f, + -0.079682438f, 0.996820299f, + -0.081211447f, 0.996696895f, + -0.082740265f, 0.996571146f, + -0.084268888f, 0.996443051f, + -0.085797312f, 0.996312612f, + -0.087325535f, 0.996179829f, + -0.088853553f, 0.996044701f, + -0.090381361f, 0.995907229f, + -0.091908956f, 0.995767414f, + -0.093436336f, 0.995625256f, + -0.094963495f, 0.995480755f, + -0.096490431f, 0.995333912f, + -0.098017140f, 0.995184727f, + -0.099543619f, 0.995033199f, + -0.101069863f, 0.994879331f, + -0.102595869f, 0.994723121f, + -0.104121634f, 0.994564571f, + -0.105647154f, 0.994403680f, + -0.107172425f, 0.994240449f, + -0.108697444f, 0.994074879f, + -0.110222207f, 0.993906970f, + -0.111746711f, 0.993736722f, + -0.113270952f, 0.993564136f, + -0.114794927f, 0.993389211f, + -0.116318631f, 0.993211949f, + -0.117842062f, 0.993032350f, + -0.119365215f, 0.992850414f, + -0.120888087f, 0.992666142f, + -0.122410675f, 0.992479535f, + -0.123932975f, 0.992290591f, + -0.125454983f, 0.992099313f, + -0.126976696f, 0.991905700f, + -0.128498111f, 0.991709754f, + -0.130019223f, 0.991511473f, + -0.131540029f, 0.991310860f, + -0.133060525f, 0.991107914f, + -0.134580709f, 0.990902635f, + -0.136100575f, 0.990695025f, + -0.137620122f, 0.990485084f, + -0.139139344f, 0.990272812f, + -0.140658239f, 0.990058210f, + -0.142176804f, 0.989841278f, + -0.143695033f, 0.989622017f, + -0.145212925f, 0.989400428f, + -0.146730474f, 0.989176510f, + -0.148247679f, 0.988950265f, + -0.149764535f, 0.988721692f, + -0.151281038f, 0.988490793f, + -0.152797185f, 0.988257568f, + -0.154312973f, 0.988022017f, + -0.155828398f, 0.987784142f, + -0.157343456f, 0.987543942f, + -0.158858143f, 0.987301418f, + -0.160372457f, 0.987056571f, + -0.161886394f, 0.986809402f, + -0.163399949f, 0.986559910f, + -0.164913120f, 0.986308097f, + -0.166425904f, 0.986053963f, + -0.167938295f, 0.985797509f, + -0.169450291f, 0.985538735f, + -0.170961889f, 0.985277642f, + -0.172473084f, 0.985014231f, + -0.173983873f, 0.984748502f, + -0.175494253f, 0.984480455f, + -0.177004220f, 0.984210092f, + -0.178513771f, 0.983937413f, + -0.180022901f, 0.983662419f, + -0.181531608f, 0.983385110f, + -0.183039888f, 0.983105487f, + -0.184547737f, 0.982823551f, + -0.186055152f, 0.982539302f, + -0.187562129f, 0.982252741f, + -0.189068664f, 0.981963869f, + -0.190574755f, 0.981672686f, + -0.192080397f, 0.981379193f, + -0.193585587f, 0.981083391f, + -0.195090322f, 0.980785280f, + -0.196594598f, 0.980484862f, + -0.198098411f, 0.980182136f, + -0.199601758f, 0.979877104f, + -0.201104635f, 0.979569766f, + -0.202607039f, 0.979260123f, + -0.204108966f, 0.978948175f, + -0.205610413f, 0.978633924f, + -0.207111376f, 0.978317371f, + -0.208611852f, 0.977998515f, + -0.210111837f, 0.977677358f, + -0.211611327f, 0.977353900f, + -0.213110320f, 0.977028143f, + -0.214608811f, 0.976700086f, + -0.216106797f, 0.976369731f, + -0.217604275f, 0.976037079f, + -0.219101240f, 0.975702130f, + -0.220597690f, 0.975364885f, + -0.222093621f, 0.975025345f, + -0.223589029f, 0.974683511f, + -0.225083911f, 0.974339383f, + -0.226578264f, 0.973992962f, + -0.228072083f, 0.973644250f, + -0.229565366f, 0.973293246f, + -0.231058108f, 0.972939952f, + -0.232550307f, 0.972584369f, + -0.234041959f, 0.972226497f, + -0.235533059f, 0.971866337f, + -0.237023606f, 0.971503891f, + -0.238513595f, 0.971139158f, + -0.240003022f, 0.970772141f, + -0.241491885f, 0.970402839f, + -0.242980180f, 0.970031253f, + -0.244467903f, 0.969657385f, + -0.245955050f, 0.969281235f, + -0.247441619f, 0.968902805f, + -0.248927606f, 0.968522094f, + -0.250413007f, 0.968139105f, + -0.251897818f, 0.967753837f, + -0.253382037f, 0.967366292f, + -0.254865660f, 0.966976471f, + -0.256348682f, 0.966584374f, + -0.257831102f, 0.966190003f, + -0.259312915f, 0.965793359f, + -0.260794118f, 0.965394442f, + -0.262274707f, 0.964993253f, + -0.263754679f, 0.964589793f, + -0.265234030f, 0.964184064f, + -0.266712757f, 0.963776066f, + -0.268190857f, 0.963365800f, + -0.269668326f, 0.962953267f, + -0.271145160f, 0.962538468f, + -0.272621355f, 0.962121404f, + -0.274096910f, 0.961702077f, + -0.275571819f, 0.961280486f, + -0.277046080f, 0.960856633f, + -0.278519689f, 0.960430519f, + -0.279992643f, 0.960002146f, + -0.281464938f, 0.959571513f, + -0.282936570f, 0.959138622f, + -0.284407537f, 0.958703475f, + -0.285877835f, 0.958266071f, + -0.287347460f, 0.957826413f, + -0.288816408f, 0.957384501f, + -0.290284677f, 0.956940336f, + -0.291752263f, 0.956493919f, + -0.293219163f, 0.956045251f, + -0.294685372f, 0.955594334f, + -0.296150888f, 0.955141168f, + -0.297615707f, 0.954685755f, + -0.299079826f, 0.954228095f, + -0.300543241f, 0.953768190f, + -0.302005949f, 0.953306040f, + -0.303467947f, 0.952841648f, + -0.304929230f, 0.952375013f, + -0.306389795f, 0.951906137f, + -0.307849640f, 0.951435021f, + -0.309308760f, 0.950961666f, + -0.310767153f, 0.950486074f, + -0.312224814f, 0.950008245f, + -0.313681740f, 0.949528181f, + -0.315137929f, 0.949045882f, + -0.316593376f, 0.948561350f, + -0.318048077f, 0.948074586f, + -0.319502031f, 0.947585591f, + -0.320955232f, 0.947094366f, + -0.322407679f, 0.946600913f, + -0.323859367f, 0.946105232f, + -0.325310292f, 0.945607325f, + -0.326760452f, 0.945107193f, + -0.328209844f, 0.944604837f, + -0.329658463f, 0.944100258f, + -0.331106306f, 0.943593458f, + -0.332553370f, 0.943084437f, + -0.333999651f, 0.942573198f, + -0.335445147f, 0.942059740f, + -0.336889853f, 0.941544065f, + -0.338333767f, 0.941026175f, + -0.339776884f, 0.940506071f, + -0.341219202f, 0.939983753f, + -0.342660717f, 0.939459224f, + -0.344101426f, 0.938932484f, + -0.345541325f, 0.938403534f, + -0.346980411f, 0.937872376f, + -0.348418680f, 0.937339012f, + -0.349856130f, 0.936803442f, + -0.351292756f, 0.936265667f, + -0.352728556f, 0.935725689f, + -0.354163525f, 0.935183510f, + -0.355597662f, 0.934639130f, + -0.357030961f, 0.934092550f, + -0.358463421f, 0.933543773f, + -0.359895037f, 0.932992799f, + -0.361325806f, 0.932439629f, + -0.362755724f, 0.931884266f, + -0.364184790f, 0.931326709f, + -0.365612998f, 0.930766961f, + -0.367040346f, 0.930205023f, + -0.368466830f, 0.929640896f, + -0.369892447f, 0.929074581f, + -0.371317194f, 0.928506080f, + -0.372741067f, 0.927935395f, + -0.374164063f, 0.927362526f, + -0.375586178f, 0.926787474f, + -0.377007410f, 0.926210242f, + -0.378427755f, 0.925630831f, + -0.379847209f, 0.925049241f, + -0.381265769f, 0.924465474f, + -0.382683432f, 0.923879533f, + -0.384100195f, 0.923291417f, + -0.385516054f, 0.922701128f, + -0.386931006f, 0.922108669f, + -0.388345047f, 0.921514039f, + -0.389758174f, 0.920917242f, + -0.391170384f, 0.920318277f, + -0.392581674f, 0.919717146f, + -0.393992040f, 0.919113852f, + -0.395401479f, 0.918508394f, + -0.396809987f, 0.917900776f, + -0.398217562f, 0.917290997f, + -0.399624200f, 0.916679060f, + -0.401029897f, 0.916064966f, + -0.402434651f, 0.915448716f, + -0.403838458f, 0.914830312f, + -0.405241314f, 0.914209756f, + -0.406643217f, 0.913587048f, + -0.408044163f, 0.912962190f, + -0.409444149f, 0.912335185f, + -0.410843171f, 0.911706032f, + -0.412241227f, 0.911074734f, + -0.413638312f, 0.910441292f, + -0.415034424f, 0.909805708f, + -0.416429560f, 0.909167983f, + -0.417823716f, 0.908528119f, + -0.419216888f, 0.907886116f, + -0.420609074f, 0.907241978f, + -0.422000271f, 0.906595705f, + -0.423390474f, 0.905947298f, + -0.424779681f, 0.905296759f, + -0.426167889f, 0.904644091f, + -0.427555093f, 0.903989293f, + -0.428941292f, 0.903332368f, + -0.430326481f, 0.902673318f, + -0.431710658f, 0.902012144f, + -0.433093819f, 0.901348847f, + -0.434475961f, 0.900683429f, + -0.435857080f, 0.900015892f, + -0.437237174f, 0.899346237f, + -0.438616239f, 0.898674466f, + -0.439994271f, 0.898000580f, + -0.441371269f, 0.897324581f, + -0.442747228f, 0.896646470f, + -0.444122145f, 0.895966250f, + -0.445496017f, 0.895283921f, + -0.446868840f, 0.894599486f, + -0.448240612f, 0.893912945f, + -0.449611330f, 0.893224301f, + -0.450980989f, 0.892533555f, + -0.452349587f, 0.891840709f, + -0.453717121f, 0.891145765f, + -0.455083587f, 0.890448723f, + -0.456448982f, 0.889749586f, + -0.457813304f, 0.889048356f, + -0.459176548f, 0.888345033f, + -0.460538711f, 0.887639620f, + -0.461899791f, 0.886932119f, + -0.463259784f, 0.886222530f, + -0.464618686f, 0.885510856f, + -0.465976496f, 0.884797098f, + -0.467333209f, 0.884081259f, + -0.468688822f, 0.883363339f, + -0.470043332f, 0.882643340f, + -0.471396737f, 0.881921264f, + -0.472749032f, 0.881197113f, + -0.474100215f, 0.880470889f, + -0.475450282f, 0.879742593f, + -0.476799230f, 0.879012226f, + -0.478147056f, 0.878279792f, + -0.479493758f, 0.877545290f, + -0.480839331f, 0.876808724f, + -0.482183772f, 0.876070094f, + -0.483527079f, 0.875329403f, + -0.484869248f, 0.874586652f, + -0.486210276f, 0.873841843f, + -0.487550160f, 0.873094978f, + -0.488888897f, 0.872346059f, + -0.490226483f, 0.871595087f, + -0.491562916f, 0.870842063f, + -0.492898192f, 0.870086991f, + -0.494232309f, 0.869329871f, + -0.495565262f, 0.868570706f, + -0.496897049f, 0.867809497f, + -0.498227667f, 0.867046246f, + -0.499557113f, 0.866280954f, + -0.500885383f, 0.865513624f, + -0.502212474f, 0.864744258f, + -0.503538384f, 0.863972856f, + -0.504863109f, 0.863199422f, + -0.506186645f, 0.862423956f, + -0.507508991f, 0.861646461f, + -0.508830143f, 0.860866939f, + -0.510150097f, 0.860085390f, + -0.511468850f, 0.859301818f, + -0.512786401f, 0.858516224f, + -0.514102744f, 0.857728610f, + -0.515417878f, 0.856938977f, + -0.516731799f, 0.856147328f, + -0.518044504f, 0.855353665f, + -0.519355990f, 0.854557988f, + -0.520666254f, 0.853760301f, + -0.521975293f, 0.852960605f, + -0.523283103f, 0.852158902f, + -0.524589683f, 0.851355193f, + -0.525895027f, 0.850549481f, + -0.527199135f, 0.849741768f, + -0.528502002f, 0.848932055f, + -0.529803625f, 0.848120345f, + -0.531104001f, 0.847306639f, + -0.532403128f, 0.846490939f, + -0.533701002f, 0.845673247f, + -0.534997620f, 0.844853565f, + -0.536292979f, 0.844031895f, + -0.537587076f, 0.843208240f, + -0.538879909f, 0.842382600f, + -0.540171473f, 0.841554977f, + -0.541461766f, 0.840725375f, + -0.542750785f, 0.839893794f, + -0.544038527f, 0.839060237f, + -0.545324988f, 0.838224706f, + -0.546610167f, 0.837387202f, + -0.547894059f, 0.836547727f, + -0.549176662f, 0.835706284f, + -0.550457973f, 0.834862875f, + -0.551737988f, 0.834017501f, + -0.553016706f, 0.833170165f, + -0.554294121f, 0.832320868f, + -0.555570233f, 0.831469612f, + -0.556845037f, 0.830616400f, + -0.558118531f, 0.829761234f, + -0.559390712f, 0.828904115f, + -0.560661576f, 0.828045045f, + -0.561931121f, 0.827184027f, + -0.563199344f, 0.826321063f, + -0.564466242f, 0.825456154f, + -0.565731811f, 0.824589303f, + -0.566996049f, 0.823720511f, + -0.568258953f, 0.822849781f, + -0.569520519f, 0.821977115f, + -0.570780746f, 0.821102515f, + -0.572039629f, 0.820225983f, + -0.573297167f, 0.819347520f, + -0.574553355f, 0.818467130f, + -0.575808191f, 0.817584813f, + -0.577061673f, 0.816700573f, + -0.578313796f, 0.815814411f, + -0.579564559f, 0.814926329f, + -0.580813958f, 0.814036330f, + -0.582061990f, 0.813144415f, + -0.583308653f, 0.812250587f, + -0.584553943f, 0.811354847f, + -0.585797857f, 0.810457198f, + -0.587040394f, 0.809557642f, + -0.588281548f, 0.808656182f, + -0.589521319f, 0.807752818f, + -0.590759702f, 0.806847554f, + -0.591996695f, 0.805940391f, + -0.593232295f, 0.805031331f, + -0.594466499f, 0.804120377f, + -0.595699304f, 0.803207531f, + -0.596930708f, 0.802292796f, + -0.598160707f, 0.801376172f, + -0.599389298f, 0.800457662f, + -0.600616479f, 0.799537269f, + -0.601842247f, 0.798614995f, + -0.603066599f, 0.797690841f, + -0.604289531f, 0.796764810f, + -0.605511041f, 0.795836905f, + -0.606731127f, 0.794907126f, + -0.607949785f, 0.793975478f, + -0.609167012f, 0.793041960f, + -0.610382806f, 0.792106577f, + -0.611597164f, 0.791169330f, + -0.612810082f, 0.790230221f, + -0.614021559f, 0.789289253f, + -0.615231591f, 0.788346428f, + -0.616440175f, 0.787401747f, + -0.617647308f, 0.786455214f, + -0.618852988f, 0.785506830f, + -0.620057212f, 0.784556597f, + -0.621259977f, 0.783604519f, + -0.622461279f, 0.782650596f, + -0.623661118f, 0.781694832f, + -0.624859488f, 0.780737229f, + -0.626056388f, 0.779777788f, + -0.627251815f, 0.778816512f, + -0.628445767f, 0.777853404f, + -0.629638239f, 0.776888466f, + -0.630829230f, 0.775921699f, + -0.632018736f, 0.774953107f, + -0.633206755f, 0.773982691f, + -0.634393284f, 0.773010453f, + -0.635578320f, 0.772036397f, + -0.636761861f, 0.771060524f, + -0.637943904f, 0.770082837f, + -0.639124445f, 0.769103338f, + -0.640303482f, 0.768122029f, + -0.641481013f, 0.767138912f, + -0.642657034f, 0.766153990f, + -0.643831543f, 0.765167266f, + -0.645004537f, 0.764178741f, + -0.646176013f, 0.763188417f, + -0.647345969f, 0.762196298f, + -0.648514401f, 0.761202385f, + -0.649681307f, 0.760206682f, + -0.650846685f, 0.759209189f, + -0.652010531f, 0.758209910f, + -0.653172843f, 0.757208847f, + -0.654333618f, 0.756206001f, + -0.655492853f, 0.755201377f, + -0.656650546f, 0.754194975f, + -0.657806693f, 0.753186799f, + -0.658961293f, 0.752176850f, + -0.660114342f, 0.751165132f, + -0.661265838f, 0.750151646f, + -0.662415778f, 0.749136395f, + -0.663564159f, 0.748119380f, + -0.664710978f, 0.747100606f, + -0.665856234f, 0.746080074f, + -0.666999922f, 0.745057785f, + -0.668142041f, 0.744033744f, + -0.669282588f, 0.743007952f, + -0.670421560f, 0.741980412f, + -0.671558955f, 0.740951125f, + -0.672694769f, 0.739920095f, + -0.673829000f, 0.738887324f, + -0.674961646f, 0.737852815f, + -0.676092704f, 0.736816569f, + -0.677222170f, 0.735778589f, + -0.678350043f, 0.734738878f, + -0.679476320f, 0.733697438f, + -0.680600998f, 0.732654272f, + -0.681724074f, 0.731609381f, + -0.682845546f, 0.730562769f, + -0.683965412f, 0.729514438f, + -0.685083668f, 0.728464390f, + -0.686200312f, 0.727412629f, + -0.687315341f, 0.726359155f, + -0.688428753f, 0.725303972f, + -0.689540545f, 0.724247083f, + -0.690650714f, 0.723188489f, + -0.691759258f, 0.722128194f, + -0.692866175f, 0.721066199f, + -0.693971461f, 0.720002508f, + -0.695075114f, 0.718937122f, + -0.696177131f, 0.717870045f, + -0.697277511f, 0.716801279f, + -0.698376249f, 0.715730825f, + -0.699473345f, 0.714658688f, + -0.700568794f, 0.713584869f, + -0.701662595f, 0.712509371f, + -0.702754744f, 0.711432196f, + -0.703845241f, 0.710353347f, + -0.704934080f, 0.709272826f, + -0.706021261f, 0.708190637f, + -0.707106781f, 0.707106781f, + -0.708190637f, 0.706021261f, + -0.709272826f, 0.704934080f, + -0.710353347f, 0.703845241f, + -0.711432196f, 0.702754744f, + -0.712509371f, 0.701662595f, + -0.713584869f, 0.700568794f, + -0.714658688f, 0.699473345f, + -0.715730825f, 0.698376249f, + -0.716801279f, 0.697277511f, + -0.717870045f, 0.696177131f, + -0.718937122f, 0.695075114f, + -0.720002508f, 0.693971461f, + -0.721066199f, 0.692866175f, + -0.722128194f, 0.691759258f, + -0.723188489f, 0.690650714f, + -0.724247083f, 0.689540545f, + -0.725303972f, 0.688428753f, + -0.726359155f, 0.687315341f, + -0.727412629f, 0.686200312f, + -0.728464390f, 0.685083668f, + -0.729514438f, 0.683965412f, + -0.730562769f, 0.682845546f, + -0.731609381f, 0.681724074f, + -0.732654272f, 0.680600998f, + -0.733697438f, 0.679476320f, + -0.734738878f, 0.678350043f, + -0.735778589f, 0.677222170f, + -0.736816569f, 0.676092704f, + -0.737852815f, 0.674961646f, + -0.738887324f, 0.673829000f, + -0.739920095f, 0.672694769f, + -0.740951125f, 0.671558955f, + -0.741980412f, 0.670421560f, + -0.743007952f, 0.669282588f, + -0.744033744f, 0.668142041f, + -0.745057785f, 0.666999922f, + -0.746080074f, 0.665856234f, + -0.747100606f, 0.664710978f, + -0.748119380f, 0.663564159f, + -0.749136395f, 0.662415778f, + -0.750151646f, 0.661265838f, + -0.751165132f, 0.660114342f, + -0.752176850f, 0.658961293f, + -0.753186799f, 0.657806693f, + -0.754194975f, 0.656650546f, + -0.755201377f, 0.655492853f, + -0.756206001f, 0.654333618f, + -0.757208847f, 0.653172843f, + -0.758209910f, 0.652010531f, + -0.759209189f, 0.650846685f, + -0.760206682f, 0.649681307f, + -0.761202385f, 0.648514401f, + -0.762196298f, 0.647345969f, + -0.763188417f, 0.646176013f, + -0.764178741f, 0.645004537f, + -0.765167266f, 0.643831543f, + -0.766153990f, 0.642657034f, + -0.767138912f, 0.641481013f, + -0.768122029f, 0.640303482f, + -0.769103338f, 0.639124445f, + -0.770082837f, 0.637943904f, + -0.771060524f, 0.636761861f, + -0.772036397f, 0.635578320f, + -0.773010453f, 0.634393284f, + -0.773982691f, 0.633206755f, + -0.774953107f, 0.632018736f, + -0.775921699f, 0.630829230f, + -0.776888466f, 0.629638239f, + -0.777853404f, 0.628445767f, + -0.778816512f, 0.627251815f, + -0.779777788f, 0.626056388f, + -0.780737229f, 0.624859488f, + -0.781694832f, 0.623661118f, + -0.782650596f, 0.622461279f, + -0.783604519f, 0.621259977f, + -0.784556597f, 0.620057212f, + -0.785506830f, 0.618852988f, + -0.786455214f, 0.617647308f, + -0.787401747f, 0.616440175f, + -0.788346428f, 0.615231591f, + -0.789289253f, 0.614021559f, + -0.790230221f, 0.612810082f, + -0.791169330f, 0.611597164f, + -0.792106577f, 0.610382806f, + -0.793041960f, 0.609167012f, + -0.793975478f, 0.607949785f, + -0.794907126f, 0.606731127f, + -0.795836905f, 0.605511041f, + -0.796764810f, 0.604289531f, + -0.797690841f, 0.603066599f, + -0.798614995f, 0.601842247f, + -0.799537269f, 0.600616479f, + -0.800457662f, 0.599389298f, + -0.801376172f, 0.598160707f, + -0.802292796f, 0.596930708f, + -0.803207531f, 0.595699304f, + -0.804120377f, 0.594466499f, + -0.805031331f, 0.593232295f, + -0.805940391f, 0.591996695f, + -0.806847554f, 0.590759702f, + -0.807752818f, 0.589521319f, + -0.808656182f, 0.588281548f, + -0.809557642f, 0.587040394f, + -0.810457198f, 0.585797857f, + -0.811354847f, 0.584553943f, + -0.812250587f, 0.583308653f, + -0.813144415f, 0.582061990f, + -0.814036330f, 0.580813958f, + -0.814926329f, 0.579564559f, + -0.815814411f, 0.578313796f, + -0.816700573f, 0.577061673f, + -0.817584813f, 0.575808191f, + -0.818467130f, 0.574553355f, + -0.819347520f, 0.573297167f, + -0.820225983f, 0.572039629f, + -0.821102515f, 0.570780746f, + -0.821977115f, 0.569520519f, + -0.822849781f, 0.568258953f, + -0.823720511f, 0.566996049f, + -0.824589303f, 0.565731811f, + -0.825456154f, 0.564466242f, + -0.826321063f, 0.563199344f, + -0.827184027f, 0.561931121f, + -0.828045045f, 0.560661576f, + -0.828904115f, 0.559390712f, + -0.829761234f, 0.558118531f, + -0.830616400f, 0.556845037f, + -0.831469612f, 0.555570233f, + -0.832320868f, 0.554294121f, + -0.833170165f, 0.553016706f, + -0.834017501f, 0.551737988f, + -0.834862875f, 0.550457973f, + -0.835706284f, 0.549176662f, + -0.836547727f, 0.547894059f, + -0.837387202f, 0.546610167f, + -0.838224706f, 0.545324988f, + -0.839060237f, 0.544038527f, + -0.839893794f, 0.542750785f, + -0.840725375f, 0.541461766f, + -0.841554977f, 0.540171473f, + -0.842382600f, 0.538879909f, + -0.843208240f, 0.537587076f, + -0.844031895f, 0.536292979f, + -0.844853565f, 0.534997620f, + -0.845673247f, 0.533701002f, + -0.846490939f, 0.532403128f, + -0.847306639f, 0.531104001f, + -0.848120345f, 0.529803625f, + -0.848932055f, 0.528502002f, + -0.849741768f, 0.527199135f, + -0.850549481f, 0.525895027f, + -0.851355193f, 0.524589683f, + -0.852158902f, 0.523283103f, + -0.852960605f, 0.521975293f, + -0.853760301f, 0.520666254f, + -0.854557988f, 0.519355990f, + -0.855353665f, 0.518044504f, + -0.856147328f, 0.516731799f, + -0.856938977f, 0.515417878f, + -0.857728610f, 0.514102744f, + -0.858516224f, 0.512786401f, + -0.859301818f, 0.511468850f, + -0.860085390f, 0.510150097f, + -0.860866939f, 0.508830143f, + -0.861646461f, 0.507508991f, + -0.862423956f, 0.506186645f, + -0.863199422f, 0.504863109f, + -0.863972856f, 0.503538384f, + -0.864744258f, 0.502212474f, + -0.865513624f, 0.500885383f, + -0.866280954f, 0.499557113f, + -0.867046246f, 0.498227667f, + -0.867809497f, 0.496897049f, + -0.868570706f, 0.495565262f, + -0.869329871f, 0.494232309f, + -0.870086991f, 0.492898192f, + -0.870842063f, 0.491562916f, + -0.871595087f, 0.490226483f, + -0.872346059f, 0.488888897f, + -0.873094978f, 0.487550160f, + -0.873841843f, 0.486210276f, + -0.874586652f, 0.484869248f, + -0.875329403f, 0.483527079f, + -0.876070094f, 0.482183772f, + -0.876808724f, 0.480839331f, + -0.877545290f, 0.479493758f, + -0.878279792f, 0.478147056f, + -0.879012226f, 0.476799230f, + -0.879742593f, 0.475450282f, + -0.880470889f, 0.474100215f, + -0.881197113f, 0.472749032f, + -0.881921264f, 0.471396737f, + -0.882643340f, 0.470043332f, + -0.883363339f, 0.468688822f, + -0.884081259f, 0.467333209f, + -0.884797098f, 0.465976496f, + -0.885510856f, 0.464618686f, + -0.886222530f, 0.463259784f, + -0.886932119f, 0.461899791f, + -0.887639620f, 0.460538711f, + -0.888345033f, 0.459176548f, + -0.889048356f, 0.457813304f, + -0.889749586f, 0.456448982f, + -0.890448723f, 0.455083587f, + -0.891145765f, 0.453717121f, + -0.891840709f, 0.452349587f, + -0.892533555f, 0.450980989f, + -0.893224301f, 0.449611330f, + -0.893912945f, 0.448240612f, + -0.894599486f, 0.446868840f, + -0.895283921f, 0.445496017f, + -0.895966250f, 0.444122145f, + -0.896646470f, 0.442747228f, + -0.897324581f, 0.441371269f, + -0.898000580f, 0.439994271f, + -0.898674466f, 0.438616239f, + -0.899346237f, 0.437237174f, + -0.900015892f, 0.435857080f, + -0.900683429f, 0.434475961f, + -0.901348847f, 0.433093819f, + -0.902012144f, 0.431710658f, + -0.902673318f, 0.430326481f, + -0.903332368f, 0.428941292f, + -0.903989293f, 0.427555093f, + -0.904644091f, 0.426167889f, + -0.905296759f, 0.424779681f, + -0.905947298f, 0.423390474f, + -0.906595705f, 0.422000271f, + -0.907241978f, 0.420609074f, + -0.907886116f, 0.419216888f, + -0.908528119f, 0.417823716f, + -0.909167983f, 0.416429560f, + -0.909805708f, 0.415034424f, + -0.910441292f, 0.413638312f, + -0.911074734f, 0.412241227f, + -0.911706032f, 0.410843171f, + -0.912335185f, 0.409444149f, + -0.912962190f, 0.408044163f, + -0.913587048f, 0.406643217f, + -0.914209756f, 0.405241314f, + -0.914830312f, 0.403838458f, + -0.915448716f, 0.402434651f, + -0.916064966f, 0.401029897f, + -0.916679060f, 0.399624200f, + -0.917290997f, 0.398217562f, + -0.917900776f, 0.396809987f, + -0.918508394f, 0.395401479f, + -0.919113852f, 0.393992040f, + -0.919717146f, 0.392581674f, + -0.920318277f, 0.391170384f, + -0.920917242f, 0.389758174f, + -0.921514039f, 0.388345047f, + -0.922108669f, 0.386931006f, + -0.922701128f, 0.385516054f, + -0.923291417f, 0.384100195f, + -0.923879533f, 0.382683432f, + -0.924465474f, 0.381265769f, + -0.925049241f, 0.379847209f, + -0.925630831f, 0.378427755f, + -0.926210242f, 0.377007410f, + -0.926787474f, 0.375586178f, + -0.927362526f, 0.374164063f, + -0.927935395f, 0.372741067f, + -0.928506080f, 0.371317194f, + -0.929074581f, 0.369892447f, + -0.929640896f, 0.368466830f, + -0.930205023f, 0.367040346f, + -0.930766961f, 0.365612998f, + -0.931326709f, 0.364184790f, + -0.931884266f, 0.362755724f, + -0.932439629f, 0.361325806f, + -0.932992799f, 0.359895037f, + -0.933543773f, 0.358463421f, + -0.934092550f, 0.357030961f, + -0.934639130f, 0.355597662f, + -0.935183510f, 0.354163525f, + -0.935725689f, 0.352728556f, + -0.936265667f, 0.351292756f, + -0.936803442f, 0.349856130f, + -0.937339012f, 0.348418680f, + -0.937872376f, 0.346980411f, + -0.938403534f, 0.345541325f, + -0.938932484f, 0.344101426f, + -0.939459224f, 0.342660717f, + -0.939983753f, 0.341219202f, + -0.940506071f, 0.339776884f, + -0.941026175f, 0.338333767f, + -0.941544065f, 0.336889853f, + -0.942059740f, 0.335445147f, + -0.942573198f, 0.333999651f, + -0.943084437f, 0.332553370f, + -0.943593458f, 0.331106306f, + -0.944100258f, 0.329658463f, + -0.944604837f, 0.328209844f, + -0.945107193f, 0.326760452f, + -0.945607325f, 0.325310292f, + -0.946105232f, 0.323859367f, + -0.946600913f, 0.322407679f, + -0.947094366f, 0.320955232f, + -0.947585591f, 0.319502031f, + -0.948074586f, 0.318048077f, + -0.948561350f, 0.316593376f, + -0.949045882f, 0.315137929f, + -0.949528181f, 0.313681740f, + -0.950008245f, 0.312224814f, + -0.950486074f, 0.310767153f, + -0.950961666f, 0.309308760f, + -0.951435021f, 0.307849640f, + -0.951906137f, 0.306389795f, + -0.952375013f, 0.304929230f, + -0.952841648f, 0.303467947f, + -0.953306040f, 0.302005949f, + -0.953768190f, 0.300543241f, + -0.954228095f, 0.299079826f, + -0.954685755f, 0.297615707f, + -0.955141168f, 0.296150888f, + -0.955594334f, 0.294685372f, + -0.956045251f, 0.293219163f, + -0.956493919f, 0.291752263f, + -0.956940336f, 0.290284677f, + -0.957384501f, 0.288816408f, + -0.957826413f, 0.287347460f, + -0.958266071f, 0.285877835f, + -0.958703475f, 0.284407537f, + -0.959138622f, 0.282936570f, + -0.959571513f, 0.281464938f, + -0.960002146f, 0.279992643f, + -0.960430519f, 0.278519689f, + -0.960856633f, 0.277046080f, + -0.961280486f, 0.275571819f, + -0.961702077f, 0.274096910f, + -0.962121404f, 0.272621355f, + -0.962538468f, 0.271145160f, + -0.962953267f, 0.269668326f, + -0.963365800f, 0.268190857f, + -0.963776066f, 0.266712757f, + -0.964184064f, 0.265234030f, + -0.964589793f, 0.263754679f, + -0.964993253f, 0.262274707f, + -0.965394442f, 0.260794118f, + -0.965793359f, 0.259312915f, + -0.966190003f, 0.257831102f, + -0.966584374f, 0.256348682f, + -0.966976471f, 0.254865660f, + -0.967366292f, 0.253382037f, + -0.967753837f, 0.251897818f, + -0.968139105f, 0.250413007f, + -0.968522094f, 0.248927606f, + -0.968902805f, 0.247441619f, + -0.969281235f, 0.245955050f, + -0.969657385f, 0.244467903f, + -0.970031253f, 0.242980180f, + -0.970402839f, 0.241491885f, + -0.970772141f, 0.240003022f, + -0.971139158f, 0.238513595f, + -0.971503891f, 0.237023606f, + -0.971866337f, 0.235533059f, + -0.972226497f, 0.234041959f, + -0.972584369f, 0.232550307f, + -0.972939952f, 0.231058108f, + -0.973293246f, 0.229565366f, + -0.973644250f, 0.228072083f, + -0.973992962f, 0.226578264f, + -0.974339383f, 0.225083911f, + -0.974683511f, 0.223589029f, + -0.975025345f, 0.222093621f, + -0.975364885f, 0.220597690f, + -0.975702130f, 0.219101240f, + -0.976037079f, 0.217604275f, + -0.976369731f, 0.216106797f, + -0.976700086f, 0.214608811f, + -0.977028143f, 0.213110320f, + -0.977353900f, 0.211611327f, + -0.977677358f, 0.210111837f, + -0.977998515f, 0.208611852f, + -0.978317371f, 0.207111376f, + -0.978633924f, 0.205610413f, + -0.978948175f, 0.204108966f, + -0.979260123f, 0.202607039f, + -0.979569766f, 0.201104635f, + -0.979877104f, 0.199601758f, + -0.980182136f, 0.198098411f, + -0.980484862f, 0.196594598f, + -0.980785280f, 0.195090322f, + -0.981083391f, 0.193585587f, + -0.981379193f, 0.192080397f, + -0.981672686f, 0.190574755f, + -0.981963869f, 0.189068664f, + -0.982252741f, 0.187562129f, + -0.982539302f, 0.186055152f, + -0.982823551f, 0.184547737f, + -0.983105487f, 0.183039888f, + -0.983385110f, 0.181531608f, + -0.983662419f, 0.180022901f, + -0.983937413f, 0.178513771f, + -0.984210092f, 0.177004220f, + -0.984480455f, 0.175494253f, + -0.984748502f, 0.173983873f, + -0.985014231f, 0.172473084f, + -0.985277642f, 0.170961889f, + -0.985538735f, 0.169450291f, + -0.985797509f, 0.167938295f, + -0.986053963f, 0.166425904f, + -0.986308097f, 0.164913120f, + -0.986559910f, 0.163399949f, + -0.986809402f, 0.161886394f, + -0.987056571f, 0.160372457f, + -0.987301418f, 0.158858143f, + -0.987543942f, 0.157343456f, + -0.987784142f, 0.155828398f, + -0.988022017f, 0.154312973f, + -0.988257568f, 0.152797185f, + -0.988490793f, 0.151281038f, + -0.988721692f, 0.149764535f, + -0.988950265f, 0.148247679f, + -0.989176510f, 0.146730474f, + -0.989400428f, 0.145212925f, + -0.989622017f, 0.143695033f, + -0.989841278f, 0.142176804f, + -0.990058210f, 0.140658239f, + -0.990272812f, 0.139139344f, + -0.990485084f, 0.137620122f, + -0.990695025f, 0.136100575f, + -0.990902635f, 0.134580709f, + -0.991107914f, 0.133060525f, + -0.991310860f, 0.131540029f, + -0.991511473f, 0.130019223f, + -0.991709754f, 0.128498111f, + -0.991905700f, 0.126976696f, + -0.992099313f, 0.125454983f, + -0.992290591f, 0.123932975f, + -0.992479535f, 0.122410675f, + -0.992666142f, 0.120888087f, + -0.992850414f, 0.119365215f, + -0.993032350f, 0.117842062f, + -0.993211949f, 0.116318631f, + -0.993389211f, 0.114794927f, + -0.993564136f, 0.113270952f, + -0.993736722f, 0.111746711f, + -0.993906970f, 0.110222207f, + -0.994074879f, 0.108697444f, + -0.994240449f, 0.107172425f, + -0.994403680f, 0.105647154f, + -0.994564571f, 0.104121634f, + -0.994723121f, 0.102595869f, + -0.994879331f, 0.101069863f, + -0.995033199f, 0.099543619f, + -0.995184727f, 0.098017140f, + -0.995333912f, 0.096490431f, + -0.995480755f, 0.094963495f, + -0.995625256f, 0.093436336f, + -0.995767414f, 0.091908956f, + -0.995907229f, 0.090381361f, + -0.996044701f, 0.088853553f, + -0.996179829f, 0.087325535f, + -0.996312612f, 0.085797312f, + -0.996443051f, 0.084268888f, + -0.996571146f, 0.082740265f, + -0.996696895f, 0.081211447f, + -0.996820299f, 0.079682438f, + -0.996941358f, 0.078153242f, + -0.997060070f, 0.076623861f, + -0.997176437f, 0.075094301f, + -0.997290457f, 0.073564564f, + -0.997402130f, 0.072034653f, + -0.997511456f, 0.070504573f, + -0.997618435f, 0.068974328f, + -0.997723067f, 0.067443920f, + -0.997825350f, 0.065913353f, + -0.997925286f, 0.064382631f, + -0.998022874f, 0.062851758f, + -0.998118113f, 0.061320736f, + -0.998211003f, 0.059789571f, + -0.998301545f, 0.058258265f, + -0.998389737f, 0.056726821f, + -0.998475581f, 0.055195244f, + -0.998559074f, 0.053663538f, + -0.998640218f, 0.052131705f, + -0.998719012f, 0.050599749f, + -0.998795456f, 0.049067674f, + -0.998869550f, 0.047535484f, + -0.998941293f, 0.046003182f, + -0.999010686f, 0.044470772f, + -0.999077728f, 0.042938257f, + -0.999142419f, 0.041405641f, + -0.999204759f, 0.039872928f, + -0.999264747f, 0.038340120f, + -0.999322385f, 0.036807223f, + -0.999377670f, 0.035274239f, + -0.999430605f, 0.033741172f, + -0.999481187f, 0.032208025f, + -0.999529418f, 0.030674803f, + -0.999575296f, 0.029141509f, + -0.999618822f, 0.027608146f, + -0.999659997f, 0.026074718f, + -0.999698819f, 0.024541229f, + -0.999735288f, 0.023007681f, + -0.999769405f, 0.021474080f, + -0.999801170f, 0.019940429f, + -0.999830582f, 0.018406730f, + -0.999857641f, 0.016872988f, + -0.999882347f, 0.015339206f, + -0.999904701f, 0.013805389f, + -0.999924702f, 0.012271538f, + -0.999942350f, 0.010737659f, + -0.999957645f, 0.009203755f, + -0.999970586f, 0.007669829f, + -0.999981175f, 0.006135885f, + -0.999989411f, 0.004601926f, + -0.999995294f, 0.003067957f, + -0.999998823f, 0.001533980f, + -1.000000000f, 0.000000000f, + -0.999998823f, -0.001533980f, + -0.999995294f, -0.003067957f, + -0.999989411f, -0.004601926f, + -0.999981175f, -0.006135885f, + -0.999970586f, -0.007669829f, + -0.999957645f, -0.009203755f, + -0.999942350f, -0.010737659f, + -0.999924702f, -0.012271538f, + -0.999904701f, -0.013805389f, + -0.999882347f, -0.015339206f, + -0.999857641f, -0.016872988f, + -0.999830582f, -0.018406730f, + -0.999801170f, -0.019940429f, + -0.999769405f, -0.021474080f, + -0.999735288f, -0.023007681f, + -0.999698819f, -0.024541229f, + -0.999659997f, -0.026074718f, + -0.999618822f, -0.027608146f, + -0.999575296f, -0.029141509f, + -0.999529418f, -0.030674803f, + -0.999481187f, -0.032208025f, + -0.999430605f, -0.033741172f, + -0.999377670f, -0.035274239f, + -0.999322385f, -0.036807223f, + -0.999264747f, -0.038340120f, + -0.999204759f, -0.039872928f, + -0.999142419f, -0.041405641f, + -0.999077728f, -0.042938257f, + -0.999010686f, -0.044470772f, + -0.998941293f, -0.046003182f, + -0.998869550f, -0.047535484f, + -0.998795456f, -0.049067674f, + -0.998719012f, -0.050599749f, + -0.998640218f, -0.052131705f, + -0.998559074f, -0.053663538f, + -0.998475581f, -0.055195244f, + -0.998389737f, -0.056726821f, + -0.998301545f, -0.058258265f, + -0.998211003f, -0.059789571f, + -0.998118113f, -0.061320736f, + -0.998022874f, -0.062851758f, + -0.997925286f, -0.064382631f, + -0.997825350f, -0.065913353f, + -0.997723067f, -0.067443920f, + -0.997618435f, -0.068974328f, + -0.997511456f, -0.070504573f, + -0.997402130f, -0.072034653f, + -0.997290457f, -0.073564564f, + -0.997176437f, -0.075094301f, + -0.997060070f, -0.076623861f, + -0.996941358f, -0.078153242f, + -0.996820299f, -0.079682438f, + -0.996696895f, -0.081211447f, + -0.996571146f, -0.082740265f, + -0.996443051f, -0.084268888f, + -0.996312612f, -0.085797312f, + -0.996179829f, -0.087325535f, + -0.996044701f, -0.088853553f, + -0.995907229f, -0.090381361f, + -0.995767414f, -0.091908956f, + -0.995625256f, -0.093436336f, + -0.995480755f, -0.094963495f, + -0.995333912f, -0.096490431f, + -0.995184727f, -0.098017140f, + -0.995033199f, -0.099543619f, + -0.994879331f, -0.101069863f, + -0.994723121f, -0.102595869f, + -0.994564571f, -0.104121634f, + -0.994403680f, -0.105647154f, + -0.994240449f, -0.107172425f, + -0.994074879f, -0.108697444f, + -0.993906970f, -0.110222207f, + -0.993736722f, -0.111746711f, + -0.993564136f, -0.113270952f, + -0.993389211f, -0.114794927f, + -0.993211949f, -0.116318631f, + -0.993032350f, -0.117842062f, + -0.992850414f, -0.119365215f, + -0.992666142f, -0.120888087f, + -0.992479535f, -0.122410675f, + -0.992290591f, -0.123932975f, + -0.992099313f, -0.125454983f, + -0.991905700f, -0.126976696f, + -0.991709754f, -0.128498111f, + -0.991511473f, -0.130019223f, + -0.991310860f, -0.131540029f, + -0.991107914f, -0.133060525f, + -0.990902635f, -0.134580709f, + -0.990695025f, -0.136100575f, + -0.990485084f, -0.137620122f, + -0.990272812f, -0.139139344f, + -0.990058210f, -0.140658239f, + -0.989841278f, -0.142176804f, + -0.989622017f, -0.143695033f, + -0.989400428f, -0.145212925f, + -0.989176510f, -0.146730474f, + -0.988950265f, -0.148247679f, + -0.988721692f, -0.149764535f, + -0.988490793f, -0.151281038f, + -0.988257568f, -0.152797185f, + -0.988022017f, -0.154312973f, + -0.987784142f, -0.155828398f, + -0.987543942f, -0.157343456f, + -0.987301418f, -0.158858143f, + -0.987056571f, -0.160372457f, + -0.986809402f, -0.161886394f, + -0.986559910f, -0.163399949f, + -0.986308097f, -0.164913120f, + -0.986053963f, -0.166425904f, + -0.985797509f, -0.167938295f, + -0.985538735f, -0.169450291f, + -0.985277642f, -0.170961889f, + -0.985014231f, -0.172473084f, + -0.984748502f, -0.173983873f, + -0.984480455f, -0.175494253f, + -0.984210092f, -0.177004220f, + -0.983937413f, -0.178513771f, + -0.983662419f, -0.180022901f, + -0.983385110f, -0.181531608f, + -0.983105487f, -0.183039888f, + -0.982823551f, -0.184547737f, + -0.982539302f, -0.186055152f, + -0.982252741f, -0.187562129f, + -0.981963869f, -0.189068664f, + -0.981672686f, -0.190574755f, + -0.981379193f, -0.192080397f, + -0.981083391f, -0.193585587f, + -0.980785280f, -0.195090322f, + -0.980484862f, -0.196594598f, + -0.980182136f, -0.198098411f, + -0.979877104f, -0.199601758f, + -0.979569766f, -0.201104635f, + -0.979260123f, -0.202607039f, + -0.978948175f, -0.204108966f, + -0.978633924f, -0.205610413f, + -0.978317371f, -0.207111376f, + -0.977998515f, -0.208611852f, + -0.977677358f, -0.210111837f, + -0.977353900f, -0.211611327f, + -0.977028143f, -0.213110320f, + -0.976700086f, -0.214608811f, + -0.976369731f, -0.216106797f, + -0.976037079f, -0.217604275f, + -0.975702130f, -0.219101240f, + -0.975364885f, -0.220597690f, + -0.975025345f, -0.222093621f, + -0.974683511f, -0.223589029f, + -0.974339383f, -0.225083911f, + -0.973992962f, -0.226578264f, + -0.973644250f, -0.228072083f, + -0.973293246f, -0.229565366f, + -0.972939952f, -0.231058108f, + -0.972584369f, -0.232550307f, + -0.972226497f, -0.234041959f, + -0.971866337f, -0.235533059f, + -0.971503891f, -0.237023606f, + -0.971139158f, -0.238513595f, + -0.970772141f, -0.240003022f, + -0.970402839f, -0.241491885f, + -0.970031253f, -0.242980180f, + -0.969657385f, -0.244467903f, + -0.969281235f, -0.245955050f, + -0.968902805f, -0.247441619f, + -0.968522094f, -0.248927606f, + -0.968139105f, -0.250413007f, + -0.967753837f, -0.251897818f, + -0.967366292f, -0.253382037f, + -0.966976471f, -0.254865660f, + -0.966584374f, -0.256348682f, + -0.966190003f, -0.257831102f, + -0.965793359f, -0.259312915f, + -0.965394442f, -0.260794118f, + -0.964993253f, -0.262274707f, + -0.964589793f, -0.263754679f, + -0.964184064f, -0.265234030f, + -0.963776066f, -0.266712757f, + -0.963365800f, -0.268190857f, + -0.962953267f, -0.269668326f, + -0.962538468f, -0.271145160f, + -0.962121404f, -0.272621355f, + -0.961702077f, -0.274096910f, + -0.961280486f, -0.275571819f, + -0.960856633f, -0.277046080f, + -0.960430519f, -0.278519689f, + -0.960002146f, -0.279992643f, + -0.959571513f, -0.281464938f, + -0.959138622f, -0.282936570f, + -0.958703475f, -0.284407537f, + -0.958266071f, -0.285877835f, + -0.957826413f, -0.287347460f, + -0.957384501f, -0.288816408f, + -0.956940336f, -0.290284677f, + -0.956493919f, -0.291752263f, + -0.956045251f, -0.293219163f, + -0.955594334f, -0.294685372f, + -0.955141168f, -0.296150888f, + -0.954685755f, -0.297615707f, + -0.954228095f, -0.299079826f, + -0.953768190f, -0.300543241f, + -0.953306040f, -0.302005949f, + -0.952841648f, -0.303467947f, + -0.952375013f, -0.304929230f, + -0.951906137f, -0.306389795f, + -0.951435021f, -0.307849640f, + -0.950961666f, -0.309308760f, + -0.950486074f, -0.310767153f, + -0.950008245f, -0.312224814f, + -0.949528181f, -0.313681740f, + -0.949045882f, -0.315137929f, + -0.948561350f, -0.316593376f, + -0.948074586f, -0.318048077f, + -0.947585591f, -0.319502031f, + -0.947094366f, -0.320955232f, + -0.946600913f, -0.322407679f, + -0.946105232f, -0.323859367f, + -0.945607325f, -0.325310292f, + -0.945107193f, -0.326760452f, + -0.944604837f, -0.328209844f, + -0.944100258f, -0.329658463f, + -0.943593458f, -0.331106306f, + -0.943084437f, -0.332553370f, + -0.942573198f, -0.333999651f, + -0.942059740f, -0.335445147f, + -0.941544065f, -0.336889853f, + -0.941026175f, -0.338333767f, + -0.940506071f, -0.339776884f, + -0.939983753f, -0.341219202f, + -0.939459224f, -0.342660717f, + -0.938932484f, -0.344101426f, + -0.938403534f, -0.345541325f, + -0.937872376f, -0.346980411f, + -0.937339012f, -0.348418680f, + -0.936803442f, -0.349856130f, + -0.936265667f, -0.351292756f, + -0.935725689f, -0.352728556f, + -0.935183510f, -0.354163525f, + -0.934639130f, -0.355597662f, + -0.934092550f, -0.357030961f, + -0.933543773f, -0.358463421f, + -0.932992799f, -0.359895037f, + -0.932439629f, -0.361325806f, + -0.931884266f, -0.362755724f, + -0.931326709f, -0.364184790f, + -0.930766961f, -0.365612998f, + -0.930205023f, -0.367040346f, + -0.929640896f, -0.368466830f, + -0.929074581f, -0.369892447f, + -0.928506080f, -0.371317194f, + -0.927935395f, -0.372741067f, + -0.927362526f, -0.374164063f, + -0.926787474f, -0.375586178f, + -0.926210242f, -0.377007410f, + -0.925630831f, -0.378427755f, + -0.925049241f, -0.379847209f, + -0.924465474f, -0.381265769f, + -0.923879533f, -0.382683432f, + -0.923291417f, -0.384100195f, + -0.922701128f, -0.385516054f, + -0.922108669f, -0.386931006f, + -0.921514039f, -0.388345047f, + -0.920917242f, -0.389758174f, + -0.920318277f, -0.391170384f, + -0.919717146f, -0.392581674f, + -0.919113852f, -0.393992040f, + -0.918508394f, -0.395401479f, + -0.917900776f, -0.396809987f, + -0.917290997f, -0.398217562f, + -0.916679060f, -0.399624200f, + -0.916064966f, -0.401029897f, + -0.915448716f, -0.402434651f, + -0.914830312f, -0.403838458f, + -0.914209756f, -0.405241314f, + -0.913587048f, -0.406643217f, + -0.912962190f, -0.408044163f, + -0.912335185f, -0.409444149f, + -0.911706032f, -0.410843171f, + -0.911074734f, -0.412241227f, + -0.910441292f, -0.413638312f, + -0.909805708f, -0.415034424f, + -0.909167983f, -0.416429560f, + -0.908528119f, -0.417823716f, + -0.907886116f, -0.419216888f, + -0.907241978f, -0.420609074f, + -0.906595705f, -0.422000271f, + -0.905947298f, -0.423390474f, + -0.905296759f, -0.424779681f, + -0.904644091f, -0.426167889f, + -0.903989293f, -0.427555093f, + -0.903332368f, -0.428941292f, + -0.902673318f, -0.430326481f, + -0.902012144f, -0.431710658f, + -0.901348847f, -0.433093819f, + -0.900683429f, -0.434475961f, + -0.900015892f, -0.435857080f, + -0.899346237f, -0.437237174f, + -0.898674466f, -0.438616239f, + -0.898000580f, -0.439994271f, + -0.897324581f, -0.441371269f, + -0.896646470f, -0.442747228f, + -0.895966250f, -0.444122145f, + -0.895283921f, -0.445496017f, + -0.894599486f, -0.446868840f, + -0.893912945f, -0.448240612f, + -0.893224301f, -0.449611330f, + -0.892533555f, -0.450980989f, + -0.891840709f, -0.452349587f, + -0.891145765f, -0.453717121f, + -0.890448723f, -0.455083587f, + -0.889749586f, -0.456448982f, + -0.889048356f, -0.457813304f, + -0.888345033f, -0.459176548f, + -0.887639620f, -0.460538711f, + -0.886932119f, -0.461899791f, + -0.886222530f, -0.463259784f, + -0.885510856f, -0.464618686f, + -0.884797098f, -0.465976496f, + -0.884081259f, -0.467333209f, + -0.883363339f, -0.468688822f, + -0.882643340f, -0.470043332f, + -0.881921264f, -0.471396737f, + -0.881197113f, -0.472749032f, + -0.880470889f, -0.474100215f, + -0.879742593f, -0.475450282f, + -0.879012226f, -0.476799230f, + -0.878279792f, -0.478147056f, + -0.877545290f, -0.479493758f, + -0.876808724f, -0.480839331f, + -0.876070094f, -0.482183772f, + -0.875329403f, -0.483527079f, + -0.874586652f, -0.484869248f, + -0.873841843f, -0.486210276f, + -0.873094978f, -0.487550160f, + -0.872346059f, -0.488888897f, + -0.871595087f, -0.490226483f, + -0.870842063f, -0.491562916f, + -0.870086991f, -0.492898192f, + -0.869329871f, -0.494232309f, + -0.868570706f, -0.495565262f, + -0.867809497f, -0.496897049f, + -0.867046246f, -0.498227667f, + -0.866280954f, -0.499557113f, + -0.865513624f, -0.500885383f, + -0.864744258f, -0.502212474f, + -0.863972856f, -0.503538384f, + -0.863199422f, -0.504863109f, + -0.862423956f, -0.506186645f, + -0.861646461f, -0.507508991f, + -0.860866939f, -0.508830143f, + -0.860085390f, -0.510150097f, + -0.859301818f, -0.511468850f, + -0.858516224f, -0.512786401f, + -0.857728610f, -0.514102744f, + -0.856938977f, -0.515417878f, + -0.856147328f, -0.516731799f, + -0.855353665f, -0.518044504f, + -0.854557988f, -0.519355990f, + -0.853760301f, -0.520666254f, + -0.852960605f, -0.521975293f, + -0.852158902f, -0.523283103f, + -0.851355193f, -0.524589683f, + -0.850549481f, -0.525895027f, + -0.849741768f, -0.527199135f, + -0.848932055f, -0.528502002f, + -0.848120345f, -0.529803625f, + -0.847306639f, -0.531104001f, + -0.846490939f, -0.532403128f, + -0.845673247f, -0.533701002f, + -0.844853565f, -0.534997620f, + -0.844031895f, -0.536292979f, + -0.843208240f, -0.537587076f, + -0.842382600f, -0.538879909f, + -0.841554977f, -0.540171473f, + -0.840725375f, -0.541461766f, + -0.839893794f, -0.542750785f, + -0.839060237f, -0.544038527f, + -0.838224706f, -0.545324988f, + -0.837387202f, -0.546610167f, + -0.836547727f, -0.547894059f, + -0.835706284f, -0.549176662f, + -0.834862875f, -0.550457973f, + -0.834017501f, -0.551737988f, + -0.833170165f, -0.553016706f, + -0.832320868f, -0.554294121f, + -0.831469612f, -0.555570233f, + -0.830616400f, -0.556845037f, + -0.829761234f, -0.558118531f, + -0.828904115f, -0.559390712f, + -0.828045045f, -0.560661576f, + -0.827184027f, -0.561931121f, + -0.826321063f, -0.563199344f, + -0.825456154f, -0.564466242f, + -0.824589303f, -0.565731811f, + -0.823720511f, -0.566996049f, + -0.822849781f, -0.568258953f, + -0.821977115f, -0.569520519f, + -0.821102515f, -0.570780746f, + -0.820225983f, -0.572039629f, + -0.819347520f, -0.573297167f, + -0.818467130f, -0.574553355f, + -0.817584813f, -0.575808191f, + -0.816700573f, -0.577061673f, + -0.815814411f, -0.578313796f, + -0.814926329f, -0.579564559f, + -0.814036330f, -0.580813958f, + -0.813144415f, -0.582061990f, + -0.812250587f, -0.583308653f, + -0.811354847f, -0.584553943f, + -0.810457198f, -0.585797857f, + -0.809557642f, -0.587040394f, + -0.808656182f, -0.588281548f, + -0.807752818f, -0.589521319f, + -0.806847554f, -0.590759702f, + -0.805940391f, -0.591996695f, + -0.805031331f, -0.593232295f, + -0.804120377f, -0.594466499f, + -0.803207531f, -0.595699304f, + -0.802292796f, -0.596930708f, + -0.801376172f, -0.598160707f, + -0.800457662f, -0.599389298f, + -0.799537269f, -0.600616479f, + -0.798614995f, -0.601842247f, + -0.797690841f, -0.603066599f, + -0.796764810f, -0.604289531f, + -0.795836905f, -0.605511041f, + -0.794907126f, -0.606731127f, + -0.793975478f, -0.607949785f, + -0.793041960f, -0.609167012f, + -0.792106577f, -0.610382806f, + -0.791169330f, -0.611597164f, + -0.790230221f, -0.612810082f, + -0.789289253f, -0.614021559f, + -0.788346428f, -0.615231591f, + -0.787401747f, -0.616440175f, + -0.786455214f, -0.617647308f, + -0.785506830f, -0.618852988f, + -0.784556597f, -0.620057212f, + -0.783604519f, -0.621259977f, + -0.782650596f, -0.622461279f, + -0.781694832f, -0.623661118f, + -0.780737229f, -0.624859488f, + -0.779777788f, -0.626056388f, + -0.778816512f, -0.627251815f, + -0.777853404f, -0.628445767f, + -0.776888466f, -0.629638239f, + -0.775921699f, -0.630829230f, + -0.774953107f, -0.632018736f, + -0.773982691f, -0.633206755f, + -0.773010453f, -0.634393284f, + -0.772036397f, -0.635578320f, + -0.771060524f, -0.636761861f, + -0.770082837f, -0.637943904f, + -0.769103338f, -0.639124445f, + -0.768122029f, -0.640303482f, + -0.767138912f, -0.641481013f, + -0.766153990f, -0.642657034f, + -0.765167266f, -0.643831543f, + -0.764178741f, -0.645004537f, + -0.763188417f, -0.646176013f, + -0.762196298f, -0.647345969f, + -0.761202385f, -0.648514401f, + -0.760206682f, -0.649681307f, + -0.759209189f, -0.650846685f, + -0.758209910f, -0.652010531f, + -0.757208847f, -0.653172843f, + -0.756206001f, -0.654333618f, + -0.755201377f, -0.655492853f, + -0.754194975f, -0.656650546f, + -0.753186799f, -0.657806693f, + -0.752176850f, -0.658961293f, + -0.751165132f, -0.660114342f, + -0.750151646f, -0.661265838f, + -0.749136395f, -0.662415778f, + -0.748119380f, -0.663564159f, + -0.747100606f, -0.664710978f, + -0.746080074f, -0.665856234f, + -0.745057785f, -0.666999922f, + -0.744033744f, -0.668142041f, + -0.743007952f, -0.669282588f, + -0.741980412f, -0.670421560f, + -0.740951125f, -0.671558955f, + -0.739920095f, -0.672694769f, + -0.738887324f, -0.673829000f, + -0.737852815f, -0.674961646f, + -0.736816569f, -0.676092704f, + -0.735778589f, -0.677222170f, + -0.734738878f, -0.678350043f, + -0.733697438f, -0.679476320f, + -0.732654272f, -0.680600998f, + -0.731609381f, -0.681724074f, + -0.730562769f, -0.682845546f, + -0.729514438f, -0.683965412f, + -0.728464390f, -0.685083668f, + -0.727412629f, -0.686200312f, + -0.726359155f, -0.687315341f, + -0.725303972f, -0.688428753f, + -0.724247083f, -0.689540545f, + -0.723188489f, -0.690650714f, + -0.722128194f, -0.691759258f, + -0.721066199f, -0.692866175f, + -0.720002508f, -0.693971461f, + -0.718937122f, -0.695075114f, + -0.717870045f, -0.696177131f, + -0.716801279f, -0.697277511f, + -0.715730825f, -0.698376249f, + -0.714658688f, -0.699473345f, + -0.713584869f, -0.700568794f, + -0.712509371f, -0.701662595f, + -0.711432196f, -0.702754744f, + -0.710353347f, -0.703845241f, + -0.709272826f, -0.704934080f, + -0.708190637f, -0.706021261f, + -0.707106781f, -0.707106781f, + -0.706021261f, -0.708190637f, + -0.704934080f, -0.709272826f, + -0.703845241f, -0.710353347f, + -0.702754744f, -0.711432196f, + -0.701662595f, -0.712509371f, + -0.700568794f, -0.713584869f, + -0.699473345f, -0.714658688f, + -0.698376249f, -0.715730825f, + -0.697277511f, -0.716801279f, + -0.696177131f, -0.717870045f, + -0.695075114f, -0.718937122f, + -0.693971461f, -0.720002508f, + -0.692866175f, -0.721066199f, + -0.691759258f, -0.722128194f, + -0.690650714f, -0.723188489f, + -0.689540545f, -0.724247083f, + -0.688428753f, -0.725303972f, + -0.687315341f, -0.726359155f, + -0.686200312f, -0.727412629f, + -0.685083668f, -0.728464390f, + -0.683965412f, -0.729514438f, + -0.682845546f, -0.730562769f, + -0.681724074f, -0.731609381f, + -0.680600998f, -0.732654272f, + -0.679476320f, -0.733697438f, + -0.678350043f, -0.734738878f, + -0.677222170f, -0.735778589f, + -0.676092704f, -0.736816569f, + -0.674961646f, -0.737852815f, + -0.673829000f, -0.738887324f, + -0.672694769f, -0.739920095f, + -0.671558955f, -0.740951125f, + -0.670421560f, -0.741980412f, + -0.669282588f, -0.743007952f, + -0.668142041f, -0.744033744f, + -0.666999922f, -0.745057785f, + -0.665856234f, -0.746080074f, + -0.664710978f, -0.747100606f, + -0.663564159f, -0.748119380f, + -0.662415778f, -0.749136395f, + -0.661265838f, -0.750151646f, + -0.660114342f, -0.751165132f, + -0.658961293f, -0.752176850f, + -0.657806693f, -0.753186799f, + -0.656650546f, -0.754194975f, + -0.655492853f, -0.755201377f, + -0.654333618f, -0.756206001f, + -0.653172843f, -0.757208847f, + -0.652010531f, -0.758209910f, + -0.650846685f, -0.759209189f, + -0.649681307f, -0.760206682f, + -0.648514401f, -0.761202385f, + -0.647345969f, -0.762196298f, + -0.646176013f, -0.763188417f, + -0.645004537f, -0.764178741f, + -0.643831543f, -0.765167266f, + -0.642657034f, -0.766153990f, + -0.641481013f, -0.767138912f, + -0.640303482f, -0.768122029f, + -0.639124445f, -0.769103338f, + -0.637943904f, -0.770082837f, + -0.636761861f, -0.771060524f, + -0.635578320f, -0.772036397f, + -0.634393284f, -0.773010453f, + -0.633206755f, -0.773982691f, + -0.632018736f, -0.774953107f, + -0.630829230f, -0.775921699f, + -0.629638239f, -0.776888466f, + -0.628445767f, -0.777853404f, + -0.627251815f, -0.778816512f, + -0.626056388f, -0.779777788f, + -0.624859488f, -0.780737229f, + -0.623661118f, -0.781694832f, + -0.622461279f, -0.782650596f, + -0.621259977f, -0.783604519f, + -0.620057212f, -0.784556597f, + -0.618852988f, -0.785506830f, + -0.617647308f, -0.786455214f, + -0.616440175f, -0.787401747f, + -0.615231591f, -0.788346428f, + -0.614021559f, -0.789289253f, + -0.612810082f, -0.790230221f, + -0.611597164f, -0.791169330f, + -0.610382806f, -0.792106577f, + -0.609167012f, -0.793041960f, + -0.607949785f, -0.793975478f, + -0.606731127f, -0.794907126f, + -0.605511041f, -0.795836905f, + -0.604289531f, -0.796764810f, + -0.603066599f, -0.797690841f, + -0.601842247f, -0.798614995f, + -0.600616479f, -0.799537269f, + -0.599389298f, -0.800457662f, + -0.598160707f, -0.801376172f, + -0.596930708f, -0.802292796f, + -0.595699304f, -0.803207531f, + -0.594466499f, -0.804120377f, + -0.593232295f, -0.805031331f, + -0.591996695f, -0.805940391f, + -0.590759702f, -0.806847554f, + -0.589521319f, -0.807752818f, + -0.588281548f, -0.808656182f, + -0.587040394f, -0.809557642f, + -0.585797857f, -0.810457198f, + -0.584553943f, -0.811354847f, + -0.583308653f, -0.812250587f, + -0.582061990f, -0.813144415f, + -0.580813958f, -0.814036330f, + -0.579564559f, -0.814926329f, + -0.578313796f, -0.815814411f, + -0.577061673f, -0.816700573f, + -0.575808191f, -0.817584813f, + -0.574553355f, -0.818467130f, + -0.573297167f, -0.819347520f, + -0.572039629f, -0.820225983f, + -0.570780746f, -0.821102515f, + -0.569520519f, -0.821977115f, + -0.568258953f, -0.822849781f, + -0.566996049f, -0.823720511f, + -0.565731811f, -0.824589303f, + -0.564466242f, -0.825456154f, + -0.563199344f, -0.826321063f, + -0.561931121f, -0.827184027f, + -0.560661576f, -0.828045045f, + -0.559390712f, -0.828904115f, + -0.558118531f, -0.829761234f, + -0.556845037f, -0.830616400f, + -0.555570233f, -0.831469612f, + -0.554294121f, -0.832320868f, + -0.553016706f, -0.833170165f, + -0.551737988f, -0.834017501f, + -0.550457973f, -0.834862875f, + -0.549176662f, -0.835706284f, + -0.547894059f, -0.836547727f, + -0.546610167f, -0.837387202f, + -0.545324988f, -0.838224706f, + -0.544038527f, -0.839060237f, + -0.542750785f, -0.839893794f, + -0.541461766f, -0.840725375f, + -0.540171473f, -0.841554977f, + -0.538879909f, -0.842382600f, + -0.537587076f, -0.843208240f, + -0.536292979f, -0.844031895f, + -0.534997620f, -0.844853565f, + -0.533701002f, -0.845673247f, + -0.532403128f, -0.846490939f, + -0.531104001f, -0.847306639f, + -0.529803625f, -0.848120345f, + -0.528502002f, -0.848932055f, + -0.527199135f, -0.849741768f, + -0.525895027f, -0.850549481f, + -0.524589683f, -0.851355193f, + -0.523283103f, -0.852158902f, + -0.521975293f, -0.852960605f, + -0.520666254f, -0.853760301f, + -0.519355990f, -0.854557988f, + -0.518044504f, -0.855353665f, + -0.516731799f, -0.856147328f, + -0.515417878f, -0.856938977f, + -0.514102744f, -0.857728610f, + -0.512786401f, -0.858516224f, + -0.511468850f, -0.859301818f, + -0.510150097f, -0.860085390f, + -0.508830143f, -0.860866939f, + -0.507508991f, -0.861646461f, + -0.506186645f, -0.862423956f, + -0.504863109f, -0.863199422f, + -0.503538384f, -0.863972856f, + -0.502212474f, -0.864744258f, + -0.500885383f, -0.865513624f, + -0.499557113f, -0.866280954f, + -0.498227667f, -0.867046246f, + -0.496897049f, -0.867809497f, + -0.495565262f, -0.868570706f, + -0.494232309f, -0.869329871f, + -0.492898192f, -0.870086991f, + -0.491562916f, -0.870842063f, + -0.490226483f, -0.871595087f, + -0.488888897f, -0.872346059f, + -0.487550160f, -0.873094978f, + -0.486210276f, -0.873841843f, + -0.484869248f, -0.874586652f, + -0.483527079f, -0.875329403f, + -0.482183772f, -0.876070094f, + -0.480839331f, -0.876808724f, + -0.479493758f, -0.877545290f, + -0.478147056f, -0.878279792f, + -0.476799230f, -0.879012226f, + -0.475450282f, -0.879742593f, + -0.474100215f, -0.880470889f, + -0.472749032f, -0.881197113f, + -0.471396737f, -0.881921264f, + -0.470043332f, -0.882643340f, + -0.468688822f, -0.883363339f, + -0.467333209f, -0.884081259f, + -0.465976496f, -0.884797098f, + -0.464618686f, -0.885510856f, + -0.463259784f, -0.886222530f, + -0.461899791f, -0.886932119f, + -0.460538711f, -0.887639620f, + -0.459176548f, -0.888345033f, + -0.457813304f, -0.889048356f, + -0.456448982f, -0.889749586f, + -0.455083587f, -0.890448723f, + -0.453717121f, -0.891145765f, + -0.452349587f, -0.891840709f, + -0.450980989f, -0.892533555f, + -0.449611330f, -0.893224301f, + -0.448240612f, -0.893912945f, + -0.446868840f, -0.894599486f, + -0.445496017f, -0.895283921f, + -0.444122145f, -0.895966250f, + -0.442747228f, -0.896646470f, + -0.441371269f, -0.897324581f, + -0.439994271f, -0.898000580f, + -0.438616239f, -0.898674466f, + -0.437237174f, -0.899346237f, + -0.435857080f, -0.900015892f, + -0.434475961f, -0.900683429f, + -0.433093819f, -0.901348847f, + -0.431710658f, -0.902012144f, + -0.430326481f, -0.902673318f, + -0.428941292f, -0.903332368f, + -0.427555093f, -0.903989293f, + -0.426167889f, -0.904644091f, + -0.424779681f, -0.905296759f, + -0.423390474f, -0.905947298f, + -0.422000271f, -0.906595705f, + -0.420609074f, -0.907241978f, + -0.419216888f, -0.907886116f, + -0.417823716f, -0.908528119f, + -0.416429560f, -0.909167983f, + -0.415034424f, -0.909805708f, + -0.413638312f, -0.910441292f, + -0.412241227f, -0.911074734f, + -0.410843171f, -0.911706032f, + -0.409444149f, -0.912335185f, + -0.408044163f, -0.912962190f, + -0.406643217f, -0.913587048f, + -0.405241314f, -0.914209756f, + -0.403838458f, -0.914830312f, + -0.402434651f, -0.915448716f, + -0.401029897f, -0.916064966f, + -0.399624200f, -0.916679060f, + -0.398217562f, -0.917290997f, + -0.396809987f, -0.917900776f, + -0.395401479f, -0.918508394f, + -0.393992040f, -0.919113852f, + -0.392581674f, -0.919717146f, + -0.391170384f, -0.920318277f, + -0.389758174f, -0.920917242f, + -0.388345047f, -0.921514039f, + -0.386931006f, -0.922108669f, + -0.385516054f, -0.922701128f, + -0.384100195f, -0.923291417f, + -0.382683432f, -0.923879533f, + -0.381265769f, -0.924465474f, + -0.379847209f, -0.925049241f, + -0.378427755f, -0.925630831f, + -0.377007410f, -0.926210242f, + -0.375586178f, -0.926787474f, + -0.374164063f, -0.927362526f, + -0.372741067f, -0.927935395f, + -0.371317194f, -0.928506080f, + -0.369892447f, -0.929074581f, + -0.368466830f, -0.929640896f, + -0.367040346f, -0.930205023f, + -0.365612998f, -0.930766961f, + -0.364184790f, -0.931326709f, + -0.362755724f, -0.931884266f, + -0.361325806f, -0.932439629f, + -0.359895037f, -0.932992799f, + -0.358463421f, -0.933543773f, + -0.357030961f, -0.934092550f, + -0.355597662f, -0.934639130f, + -0.354163525f, -0.935183510f, + -0.352728556f, -0.935725689f, + -0.351292756f, -0.936265667f, + -0.349856130f, -0.936803442f, + -0.348418680f, -0.937339012f, + -0.346980411f, -0.937872376f, + -0.345541325f, -0.938403534f, + -0.344101426f, -0.938932484f, + -0.342660717f, -0.939459224f, + -0.341219202f, -0.939983753f, + -0.339776884f, -0.940506071f, + -0.338333767f, -0.941026175f, + -0.336889853f, -0.941544065f, + -0.335445147f, -0.942059740f, + -0.333999651f, -0.942573198f, + -0.332553370f, -0.943084437f, + -0.331106306f, -0.943593458f, + -0.329658463f, -0.944100258f, + -0.328209844f, -0.944604837f, + -0.326760452f, -0.945107193f, + -0.325310292f, -0.945607325f, + -0.323859367f, -0.946105232f, + -0.322407679f, -0.946600913f, + -0.320955232f, -0.947094366f, + -0.319502031f, -0.947585591f, + -0.318048077f, -0.948074586f, + -0.316593376f, -0.948561350f, + -0.315137929f, -0.949045882f, + -0.313681740f, -0.949528181f, + -0.312224814f, -0.950008245f, + -0.310767153f, -0.950486074f, + -0.309308760f, -0.950961666f, + -0.307849640f, -0.951435021f, + -0.306389795f, -0.951906137f, + -0.304929230f, -0.952375013f, + -0.303467947f, -0.952841648f, + -0.302005949f, -0.953306040f, + -0.300543241f, -0.953768190f, + -0.299079826f, -0.954228095f, + -0.297615707f, -0.954685755f, + -0.296150888f, -0.955141168f, + -0.294685372f, -0.955594334f, + -0.293219163f, -0.956045251f, + -0.291752263f, -0.956493919f, + -0.290284677f, -0.956940336f, + -0.288816408f, -0.957384501f, + -0.287347460f, -0.957826413f, + -0.285877835f, -0.958266071f, + -0.284407537f, -0.958703475f, + -0.282936570f, -0.959138622f, + -0.281464938f, -0.959571513f, + -0.279992643f, -0.960002146f, + -0.278519689f, -0.960430519f, + -0.277046080f, -0.960856633f, + -0.275571819f, -0.961280486f, + -0.274096910f, -0.961702077f, + -0.272621355f, -0.962121404f, + -0.271145160f, -0.962538468f, + -0.269668326f, -0.962953267f, + -0.268190857f, -0.963365800f, + -0.266712757f, -0.963776066f, + -0.265234030f, -0.964184064f, + -0.263754679f, -0.964589793f, + -0.262274707f, -0.964993253f, + -0.260794118f, -0.965394442f, + -0.259312915f, -0.965793359f, + -0.257831102f, -0.966190003f, + -0.256348682f, -0.966584374f, + -0.254865660f, -0.966976471f, + -0.253382037f, -0.967366292f, + -0.251897818f, -0.967753837f, + -0.250413007f, -0.968139105f, + -0.248927606f, -0.968522094f, + -0.247441619f, -0.968902805f, + -0.245955050f, -0.969281235f, + -0.244467903f, -0.969657385f, + -0.242980180f, -0.970031253f, + -0.241491885f, -0.970402839f, + -0.240003022f, -0.970772141f, + -0.238513595f, -0.971139158f, + -0.237023606f, -0.971503891f, + -0.235533059f, -0.971866337f, + -0.234041959f, -0.972226497f, + -0.232550307f, -0.972584369f, + -0.231058108f, -0.972939952f, + -0.229565366f, -0.973293246f, + -0.228072083f, -0.973644250f, + -0.226578264f, -0.973992962f, + -0.225083911f, -0.974339383f, + -0.223589029f, -0.974683511f, + -0.222093621f, -0.975025345f, + -0.220597690f, -0.975364885f, + -0.219101240f, -0.975702130f, + -0.217604275f, -0.976037079f, + -0.216106797f, -0.976369731f, + -0.214608811f, -0.976700086f, + -0.213110320f, -0.977028143f, + -0.211611327f, -0.977353900f, + -0.210111837f, -0.977677358f, + -0.208611852f, -0.977998515f, + -0.207111376f, -0.978317371f, + -0.205610413f, -0.978633924f, + -0.204108966f, -0.978948175f, + -0.202607039f, -0.979260123f, + -0.201104635f, -0.979569766f, + -0.199601758f, -0.979877104f, + -0.198098411f, -0.980182136f, + -0.196594598f, -0.980484862f, + -0.195090322f, -0.980785280f, + -0.193585587f, -0.981083391f, + -0.192080397f, -0.981379193f, + -0.190574755f, -0.981672686f, + -0.189068664f, -0.981963869f, + -0.187562129f, -0.982252741f, + -0.186055152f, -0.982539302f, + -0.184547737f, -0.982823551f, + -0.183039888f, -0.983105487f, + -0.181531608f, -0.983385110f, + -0.180022901f, -0.983662419f, + -0.178513771f, -0.983937413f, + -0.177004220f, -0.984210092f, + -0.175494253f, -0.984480455f, + -0.173983873f, -0.984748502f, + -0.172473084f, -0.985014231f, + -0.170961889f, -0.985277642f, + -0.169450291f, -0.985538735f, + -0.167938295f, -0.985797509f, + -0.166425904f, -0.986053963f, + -0.164913120f, -0.986308097f, + -0.163399949f, -0.986559910f, + -0.161886394f, -0.986809402f, + -0.160372457f, -0.987056571f, + -0.158858143f, -0.987301418f, + -0.157343456f, -0.987543942f, + -0.155828398f, -0.987784142f, + -0.154312973f, -0.988022017f, + -0.152797185f, -0.988257568f, + -0.151281038f, -0.988490793f, + -0.149764535f, -0.988721692f, + -0.148247679f, -0.988950265f, + -0.146730474f, -0.989176510f, + -0.145212925f, -0.989400428f, + -0.143695033f, -0.989622017f, + -0.142176804f, -0.989841278f, + -0.140658239f, -0.990058210f, + -0.139139344f, -0.990272812f, + -0.137620122f, -0.990485084f, + -0.136100575f, -0.990695025f, + -0.134580709f, -0.990902635f, + -0.133060525f, -0.991107914f, + -0.131540029f, -0.991310860f, + -0.130019223f, -0.991511473f, + -0.128498111f, -0.991709754f, + -0.126976696f, -0.991905700f, + -0.125454983f, -0.992099313f, + -0.123932975f, -0.992290591f, + -0.122410675f, -0.992479535f, + -0.120888087f, -0.992666142f, + -0.119365215f, -0.992850414f, + -0.117842062f, -0.993032350f, + -0.116318631f, -0.993211949f, + -0.114794927f, -0.993389211f, + -0.113270952f, -0.993564136f, + -0.111746711f, -0.993736722f, + -0.110222207f, -0.993906970f, + -0.108697444f, -0.994074879f, + -0.107172425f, -0.994240449f, + -0.105647154f, -0.994403680f, + -0.104121634f, -0.994564571f, + -0.102595869f, -0.994723121f, + -0.101069863f, -0.994879331f, + -0.099543619f, -0.995033199f, + -0.098017140f, -0.995184727f, + -0.096490431f, -0.995333912f, + -0.094963495f, -0.995480755f, + -0.093436336f, -0.995625256f, + -0.091908956f, -0.995767414f, + -0.090381361f, -0.995907229f, + -0.088853553f, -0.996044701f, + -0.087325535f, -0.996179829f, + -0.085797312f, -0.996312612f, + -0.084268888f, -0.996443051f, + -0.082740265f, -0.996571146f, + -0.081211447f, -0.996696895f, + -0.079682438f, -0.996820299f, + -0.078153242f, -0.996941358f, + -0.076623861f, -0.997060070f, + -0.075094301f, -0.997176437f, + -0.073564564f, -0.997290457f, + -0.072034653f, -0.997402130f, + -0.070504573f, -0.997511456f, + -0.068974328f, -0.997618435f, + -0.067443920f, -0.997723067f, + -0.065913353f, -0.997825350f, + -0.064382631f, -0.997925286f, + -0.062851758f, -0.998022874f, + -0.061320736f, -0.998118113f, + -0.059789571f, -0.998211003f, + -0.058258265f, -0.998301545f, + -0.056726821f, -0.998389737f, + -0.055195244f, -0.998475581f, + -0.053663538f, -0.998559074f, + -0.052131705f, -0.998640218f, + -0.050599749f, -0.998719012f, + -0.049067674f, -0.998795456f, + -0.047535484f, -0.998869550f, + -0.046003182f, -0.998941293f, + -0.044470772f, -0.999010686f, + -0.042938257f, -0.999077728f, + -0.041405641f, -0.999142419f, + -0.039872928f, -0.999204759f, + -0.038340120f, -0.999264747f, + -0.036807223f, -0.999322385f, + -0.035274239f, -0.999377670f, + -0.033741172f, -0.999430605f, + -0.032208025f, -0.999481187f, + -0.030674803f, -0.999529418f, + -0.029141509f, -0.999575296f, + -0.027608146f, -0.999618822f, + -0.026074718f, -0.999659997f, + -0.024541229f, -0.999698819f, + -0.023007681f, -0.999735288f, + -0.021474080f, -0.999769405f, + -0.019940429f, -0.999801170f, + -0.018406730f, -0.999830582f, + -0.016872988f, -0.999857641f, + -0.015339206f, -0.999882347f, + -0.013805389f, -0.999904701f, + -0.012271538f, -0.999924702f, + -0.010737659f, -0.999942350f, + -0.009203755f, -0.999957645f, + -0.007669829f, -0.999970586f, + -0.006135885f, -0.999981175f, + -0.004601926f, -0.999989411f, + -0.003067957f, -0.999995294f, + -0.001533980f, -0.999998823f, + -0.000000000f, -1.000000000f, + 0.001533980f, -0.999998823f, + 0.003067957f, -0.999995294f, + 0.004601926f, -0.999989411f, + 0.006135885f, -0.999981175f, + 0.007669829f, -0.999970586f, + 0.009203755f, -0.999957645f, + 0.010737659f, -0.999942350f, + 0.012271538f, -0.999924702f, + 0.013805389f, -0.999904701f, + 0.015339206f, -0.999882347f, + 0.016872988f, -0.999857641f, + 0.018406730f, -0.999830582f, + 0.019940429f, -0.999801170f, + 0.021474080f, -0.999769405f, + 0.023007681f, -0.999735288f, + 0.024541229f, -0.999698819f, + 0.026074718f, -0.999659997f, + 0.027608146f, -0.999618822f, + 0.029141509f, -0.999575296f, + 0.030674803f, -0.999529418f, + 0.032208025f, -0.999481187f, + 0.033741172f, -0.999430605f, + 0.035274239f, -0.999377670f, + 0.036807223f, -0.999322385f, + 0.038340120f, -0.999264747f, + 0.039872928f, -0.999204759f, + 0.041405641f, -0.999142419f, + 0.042938257f, -0.999077728f, + 0.044470772f, -0.999010686f, + 0.046003182f, -0.998941293f, + 0.047535484f, -0.998869550f, + 0.049067674f, -0.998795456f, + 0.050599749f, -0.998719012f, + 0.052131705f, -0.998640218f, + 0.053663538f, -0.998559074f, + 0.055195244f, -0.998475581f, + 0.056726821f, -0.998389737f, + 0.058258265f, -0.998301545f, + 0.059789571f, -0.998211003f, + 0.061320736f, -0.998118113f, + 0.062851758f, -0.998022874f, + 0.064382631f, -0.997925286f, + 0.065913353f, -0.997825350f, + 0.067443920f, -0.997723067f, + 0.068974328f, -0.997618435f, + 0.070504573f, -0.997511456f, + 0.072034653f, -0.997402130f, + 0.073564564f, -0.997290457f, + 0.075094301f, -0.997176437f, + 0.076623861f, -0.997060070f, + 0.078153242f, -0.996941358f, + 0.079682438f, -0.996820299f, + 0.081211447f, -0.996696895f, + 0.082740265f, -0.996571146f, + 0.084268888f, -0.996443051f, + 0.085797312f, -0.996312612f, + 0.087325535f, -0.996179829f, + 0.088853553f, -0.996044701f, + 0.090381361f, -0.995907229f, + 0.091908956f, -0.995767414f, + 0.093436336f, -0.995625256f, + 0.094963495f, -0.995480755f, + 0.096490431f, -0.995333912f, + 0.098017140f, -0.995184727f, + 0.099543619f, -0.995033199f, + 0.101069863f, -0.994879331f, + 0.102595869f, -0.994723121f, + 0.104121634f, -0.994564571f, + 0.105647154f, -0.994403680f, + 0.107172425f, -0.994240449f, + 0.108697444f, -0.994074879f, + 0.110222207f, -0.993906970f, + 0.111746711f, -0.993736722f, + 0.113270952f, -0.993564136f, + 0.114794927f, -0.993389211f, + 0.116318631f, -0.993211949f, + 0.117842062f, -0.993032350f, + 0.119365215f, -0.992850414f, + 0.120888087f, -0.992666142f, + 0.122410675f, -0.992479535f, + 0.123932975f, -0.992290591f, + 0.125454983f, -0.992099313f, + 0.126976696f, -0.991905700f, + 0.128498111f, -0.991709754f, + 0.130019223f, -0.991511473f, + 0.131540029f, -0.991310860f, + 0.133060525f, -0.991107914f, + 0.134580709f, -0.990902635f, + 0.136100575f, -0.990695025f, + 0.137620122f, -0.990485084f, + 0.139139344f, -0.990272812f, + 0.140658239f, -0.990058210f, + 0.142176804f, -0.989841278f, + 0.143695033f, -0.989622017f, + 0.145212925f, -0.989400428f, + 0.146730474f, -0.989176510f, + 0.148247679f, -0.988950265f, + 0.149764535f, -0.988721692f, + 0.151281038f, -0.988490793f, + 0.152797185f, -0.988257568f, + 0.154312973f, -0.988022017f, + 0.155828398f, -0.987784142f, + 0.157343456f, -0.987543942f, + 0.158858143f, -0.987301418f, + 0.160372457f, -0.987056571f, + 0.161886394f, -0.986809402f, + 0.163399949f, -0.986559910f, + 0.164913120f, -0.986308097f, + 0.166425904f, -0.986053963f, + 0.167938295f, -0.985797509f, + 0.169450291f, -0.985538735f, + 0.170961889f, -0.985277642f, + 0.172473084f, -0.985014231f, + 0.173983873f, -0.984748502f, + 0.175494253f, -0.984480455f, + 0.177004220f, -0.984210092f, + 0.178513771f, -0.983937413f, + 0.180022901f, -0.983662419f, + 0.181531608f, -0.983385110f, + 0.183039888f, -0.983105487f, + 0.184547737f, -0.982823551f, + 0.186055152f, -0.982539302f, + 0.187562129f, -0.982252741f, + 0.189068664f, -0.981963869f, + 0.190574755f, -0.981672686f, + 0.192080397f, -0.981379193f, + 0.193585587f, -0.981083391f, + 0.195090322f, -0.980785280f, + 0.196594598f, -0.980484862f, + 0.198098411f, -0.980182136f, + 0.199601758f, -0.979877104f, + 0.201104635f, -0.979569766f, + 0.202607039f, -0.979260123f, + 0.204108966f, -0.978948175f, + 0.205610413f, -0.978633924f, + 0.207111376f, -0.978317371f, + 0.208611852f, -0.977998515f, + 0.210111837f, -0.977677358f, + 0.211611327f, -0.977353900f, + 0.213110320f, -0.977028143f, + 0.214608811f, -0.976700086f, + 0.216106797f, -0.976369731f, + 0.217604275f, -0.976037079f, + 0.219101240f, -0.975702130f, + 0.220597690f, -0.975364885f, + 0.222093621f, -0.975025345f, + 0.223589029f, -0.974683511f, + 0.225083911f, -0.974339383f, + 0.226578264f, -0.973992962f, + 0.228072083f, -0.973644250f, + 0.229565366f, -0.973293246f, + 0.231058108f, -0.972939952f, + 0.232550307f, -0.972584369f, + 0.234041959f, -0.972226497f, + 0.235533059f, -0.971866337f, + 0.237023606f, -0.971503891f, + 0.238513595f, -0.971139158f, + 0.240003022f, -0.970772141f, + 0.241491885f, -0.970402839f, + 0.242980180f, -0.970031253f, + 0.244467903f, -0.969657385f, + 0.245955050f, -0.969281235f, + 0.247441619f, -0.968902805f, + 0.248927606f, -0.968522094f, + 0.250413007f, -0.968139105f, + 0.251897818f, -0.967753837f, + 0.253382037f, -0.967366292f, + 0.254865660f, -0.966976471f, + 0.256348682f, -0.966584374f, + 0.257831102f, -0.966190003f, + 0.259312915f, -0.965793359f, + 0.260794118f, -0.965394442f, + 0.262274707f, -0.964993253f, + 0.263754679f, -0.964589793f, + 0.265234030f, -0.964184064f, + 0.266712757f, -0.963776066f, + 0.268190857f, -0.963365800f, + 0.269668326f, -0.962953267f, + 0.271145160f, -0.962538468f, + 0.272621355f, -0.962121404f, + 0.274096910f, -0.961702077f, + 0.275571819f, -0.961280486f, + 0.277046080f, -0.960856633f, + 0.278519689f, -0.960430519f, + 0.279992643f, -0.960002146f, + 0.281464938f, -0.959571513f, + 0.282936570f, -0.959138622f, + 0.284407537f, -0.958703475f, + 0.285877835f, -0.958266071f, + 0.287347460f, -0.957826413f, + 0.288816408f, -0.957384501f, + 0.290284677f, -0.956940336f, + 0.291752263f, -0.956493919f, + 0.293219163f, -0.956045251f, + 0.294685372f, -0.955594334f, + 0.296150888f, -0.955141168f, + 0.297615707f, -0.954685755f, + 0.299079826f, -0.954228095f, + 0.300543241f, -0.953768190f, + 0.302005949f, -0.953306040f, + 0.303467947f, -0.952841648f, + 0.304929230f, -0.952375013f, + 0.306389795f, -0.951906137f, + 0.307849640f, -0.951435021f, + 0.309308760f, -0.950961666f, + 0.310767153f, -0.950486074f, + 0.312224814f, -0.950008245f, + 0.313681740f, -0.949528181f, + 0.315137929f, -0.949045882f, + 0.316593376f, -0.948561350f, + 0.318048077f, -0.948074586f, + 0.319502031f, -0.947585591f, + 0.320955232f, -0.947094366f, + 0.322407679f, -0.946600913f, + 0.323859367f, -0.946105232f, + 0.325310292f, -0.945607325f, + 0.326760452f, -0.945107193f, + 0.328209844f, -0.944604837f, + 0.329658463f, -0.944100258f, + 0.331106306f, -0.943593458f, + 0.332553370f, -0.943084437f, + 0.333999651f, -0.942573198f, + 0.335445147f, -0.942059740f, + 0.336889853f, -0.941544065f, + 0.338333767f, -0.941026175f, + 0.339776884f, -0.940506071f, + 0.341219202f, -0.939983753f, + 0.342660717f, -0.939459224f, + 0.344101426f, -0.938932484f, + 0.345541325f, -0.938403534f, + 0.346980411f, -0.937872376f, + 0.348418680f, -0.937339012f, + 0.349856130f, -0.936803442f, + 0.351292756f, -0.936265667f, + 0.352728556f, -0.935725689f, + 0.354163525f, -0.935183510f, + 0.355597662f, -0.934639130f, + 0.357030961f, -0.934092550f, + 0.358463421f, -0.933543773f, + 0.359895037f, -0.932992799f, + 0.361325806f, -0.932439629f, + 0.362755724f, -0.931884266f, + 0.364184790f, -0.931326709f, + 0.365612998f, -0.930766961f, + 0.367040346f, -0.930205023f, + 0.368466830f, -0.929640896f, + 0.369892447f, -0.929074581f, + 0.371317194f, -0.928506080f, + 0.372741067f, -0.927935395f, + 0.374164063f, -0.927362526f, + 0.375586178f, -0.926787474f, + 0.377007410f, -0.926210242f, + 0.378427755f, -0.925630831f, + 0.379847209f, -0.925049241f, + 0.381265769f, -0.924465474f, + 0.382683432f, -0.923879533f, + 0.384100195f, -0.923291417f, + 0.385516054f, -0.922701128f, + 0.386931006f, -0.922108669f, + 0.388345047f, -0.921514039f, + 0.389758174f, -0.920917242f, + 0.391170384f, -0.920318277f, + 0.392581674f, -0.919717146f, + 0.393992040f, -0.919113852f, + 0.395401479f, -0.918508394f, + 0.396809987f, -0.917900776f, + 0.398217562f, -0.917290997f, + 0.399624200f, -0.916679060f, + 0.401029897f, -0.916064966f, + 0.402434651f, -0.915448716f, + 0.403838458f, -0.914830312f, + 0.405241314f, -0.914209756f, + 0.406643217f, -0.913587048f, + 0.408044163f, -0.912962190f, + 0.409444149f, -0.912335185f, + 0.410843171f, -0.911706032f, + 0.412241227f, -0.911074734f, + 0.413638312f, -0.910441292f, + 0.415034424f, -0.909805708f, + 0.416429560f, -0.909167983f, + 0.417823716f, -0.908528119f, + 0.419216888f, -0.907886116f, + 0.420609074f, -0.907241978f, + 0.422000271f, -0.906595705f, + 0.423390474f, -0.905947298f, + 0.424779681f, -0.905296759f, + 0.426167889f, -0.904644091f, + 0.427555093f, -0.903989293f, + 0.428941292f, -0.903332368f, + 0.430326481f, -0.902673318f, + 0.431710658f, -0.902012144f, + 0.433093819f, -0.901348847f, + 0.434475961f, -0.900683429f, + 0.435857080f, -0.900015892f, + 0.437237174f, -0.899346237f, + 0.438616239f, -0.898674466f, + 0.439994271f, -0.898000580f, + 0.441371269f, -0.897324581f, + 0.442747228f, -0.896646470f, + 0.444122145f, -0.895966250f, + 0.445496017f, -0.895283921f, + 0.446868840f, -0.894599486f, + 0.448240612f, -0.893912945f, + 0.449611330f, -0.893224301f, + 0.450980989f, -0.892533555f, + 0.452349587f, -0.891840709f, + 0.453717121f, -0.891145765f, + 0.455083587f, -0.890448723f, + 0.456448982f, -0.889749586f, + 0.457813304f, -0.889048356f, + 0.459176548f, -0.888345033f, + 0.460538711f, -0.887639620f, + 0.461899791f, -0.886932119f, + 0.463259784f, -0.886222530f, + 0.464618686f, -0.885510856f, + 0.465976496f, -0.884797098f, + 0.467333209f, -0.884081259f, + 0.468688822f, -0.883363339f, + 0.470043332f, -0.882643340f, + 0.471396737f, -0.881921264f, + 0.472749032f, -0.881197113f, + 0.474100215f, -0.880470889f, + 0.475450282f, -0.879742593f, + 0.476799230f, -0.879012226f, + 0.478147056f, -0.878279792f, + 0.479493758f, -0.877545290f, + 0.480839331f, -0.876808724f, + 0.482183772f, -0.876070094f, + 0.483527079f, -0.875329403f, + 0.484869248f, -0.874586652f, + 0.486210276f, -0.873841843f, + 0.487550160f, -0.873094978f, + 0.488888897f, -0.872346059f, + 0.490226483f, -0.871595087f, + 0.491562916f, -0.870842063f, + 0.492898192f, -0.870086991f, + 0.494232309f, -0.869329871f, + 0.495565262f, -0.868570706f, + 0.496897049f, -0.867809497f, + 0.498227667f, -0.867046246f, + 0.499557113f, -0.866280954f, + 0.500885383f, -0.865513624f, + 0.502212474f, -0.864744258f, + 0.503538384f, -0.863972856f, + 0.504863109f, -0.863199422f, + 0.506186645f, -0.862423956f, + 0.507508991f, -0.861646461f, + 0.508830143f, -0.860866939f, + 0.510150097f, -0.860085390f, + 0.511468850f, -0.859301818f, + 0.512786401f, -0.858516224f, + 0.514102744f, -0.857728610f, + 0.515417878f, -0.856938977f, + 0.516731799f, -0.856147328f, + 0.518044504f, -0.855353665f, + 0.519355990f, -0.854557988f, + 0.520666254f, -0.853760301f, + 0.521975293f, -0.852960605f, + 0.523283103f, -0.852158902f, + 0.524589683f, -0.851355193f, + 0.525895027f, -0.850549481f, + 0.527199135f, -0.849741768f, + 0.528502002f, -0.848932055f, + 0.529803625f, -0.848120345f, + 0.531104001f, -0.847306639f, + 0.532403128f, -0.846490939f, + 0.533701002f, -0.845673247f, + 0.534997620f, -0.844853565f, + 0.536292979f, -0.844031895f, + 0.537587076f, -0.843208240f, + 0.538879909f, -0.842382600f, + 0.540171473f, -0.841554977f, + 0.541461766f, -0.840725375f, + 0.542750785f, -0.839893794f, + 0.544038527f, -0.839060237f, + 0.545324988f, -0.838224706f, + 0.546610167f, -0.837387202f, + 0.547894059f, -0.836547727f, + 0.549176662f, -0.835706284f, + 0.550457973f, -0.834862875f, + 0.551737988f, -0.834017501f, + 0.553016706f, -0.833170165f, + 0.554294121f, -0.832320868f, + 0.555570233f, -0.831469612f, + 0.556845037f, -0.830616400f, + 0.558118531f, -0.829761234f, + 0.559390712f, -0.828904115f, + 0.560661576f, -0.828045045f, + 0.561931121f, -0.827184027f, + 0.563199344f, -0.826321063f, + 0.564466242f, -0.825456154f, + 0.565731811f, -0.824589303f, + 0.566996049f, -0.823720511f, + 0.568258953f, -0.822849781f, + 0.569520519f, -0.821977115f, + 0.570780746f, -0.821102515f, + 0.572039629f, -0.820225983f, + 0.573297167f, -0.819347520f, + 0.574553355f, -0.818467130f, + 0.575808191f, -0.817584813f, + 0.577061673f, -0.816700573f, + 0.578313796f, -0.815814411f, + 0.579564559f, -0.814926329f, + 0.580813958f, -0.814036330f, + 0.582061990f, -0.813144415f, + 0.583308653f, -0.812250587f, + 0.584553943f, -0.811354847f, + 0.585797857f, -0.810457198f, + 0.587040394f, -0.809557642f, + 0.588281548f, -0.808656182f, + 0.589521319f, -0.807752818f, + 0.590759702f, -0.806847554f, + 0.591996695f, -0.805940391f, + 0.593232295f, -0.805031331f, + 0.594466499f, -0.804120377f, + 0.595699304f, -0.803207531f, + 0.596930708f, -0.802292796f, + 0.598160707f, -0.801376172f, + 0.599389298f, -0.800457662f, + 0.600616479f, -0.799537269f, + 0.601842247f, -0.798614995f, + 0.603066599f, -0.797690841f, + 0.604289531f, -0.796764810f, + 0.605511041f, -0.795836905f, + 0.606731127f, -0.794907126f, + 0.607949785f, -0.793975478f, + 0.609167012f, -0.793041960f, + 0.610382806f, -0.792106577f, + 0.611597164f, -0.791169330f, + 0.612810082f, -0.790230221f, + 0.614021559f, -0.789289253f, + 0.615231591f, -0.788346428f, + 0.616440175f, -0.787401747f, + 0.617647308f, -0.786455214f, + 0.618852988f, -0.785506830f, + 0.620057212f, -0.784556597f, + 0.621259977f, -0.783604519f, + 0.622461279f, -0.782650596f, + 0.623661118f, -0.781694832f, + 0.624859488f, -0.780737229f, + 0.626056388f, -0.779777788f, + 0.627251815f, -0.778816512f, + 0.628445767f, -0.777853404f, + 0.629638239f, -0.776888466f, + 0.630829230f, -0.775921699f, + 0.632018736f, -0.774953107f, + 0.633206755f, -0.773982691f, + 0.634393284f, -0.773010453f, + 0.635578320f, -0.772036397f, + 0.636761861f, -0.771060524f, + 0.637943904f, -0.770082837f, + 0.639124445f, -0.769103338f, + 0.640303482f, -0.768122029f, + 0.641481013f, -0.767138912f, + 0.642657034f, -0.766153990f, + 0.643831543f, -0.765167266f, + 0.645004537f, -0.764178741f, + 0.646176013f, -0.763188417f, + 0.647345969f, -0.762196298f, + 0.648514401f, -0.761202385f, + 0.649681307f, -0.760206682f, + 0.650846685f, -0.759209189f, + 0.652010531f, -0.758209910f, + 0.653172843f, -0.757208847f, + 0.654333618f, -0.756206001f, + 0.655492853f, -0.755201377f, + 0.656650546f, -0.754194975f, + 0.657806693f, -0.753186799f, + 0.658961293f, -0.752176850f, + 0.660114342f, -0.751165132f, + 0.661265838f, -0.750151646f, + 0.662415778f, -0.749136395f, + 0.663564159f, -0.748119380f, + 0.664710978f, -0.747100606f, + 0.665856234f, -0.746080074f, + 0.666999922f, -0.745057785f, + 0.668142041f, -0.744033744f, + 0.669282588f, -0.743007952f, + 0.670421560f, -0.741980412f, + 0.671558955f, -0.740951125f, + 0.672694769f, -0.739920095f, + 0.673829000f, -0.738887324f, + 0.674961646f, -0.737852815f, + 0.676092704f, -0.736816569f, + 0.677222170f, -0.735778589f, + 0.678350043f, -0.734738878f, + 0.679476320f, -0.733697438f, + 0.680600998f, -0.732654272f, + 0.681724074f, -0.731609381f, + 0.682845546f, -0.730562769f, + 0.683965412f, -0.729514438f, + 0.685083668f, -0.728464390f, + 0.686200312f, -0.727412629f, + 0.687315341f, -0.726359155f, + 0.688428753f, -0.725303972f, + 0.689540545f, -0.724247083f, + 0.690650714f, -0.723188489f, + 0.691759258f, -0.722128194f, + 0.692866175f, -0.721066199f, + 0.693971461f, -0.720002508f, + 0.695075114f, -0.718937122f, + 0.696177131f, -0.717870045f, + 0.697277511f, -0.716801279f, + 0.698376249f, -0.715730825f, + 0.699473345f, -0.714658688f, + 0.700568794f, -0.713584869f, + 0.701662595f, -0.712509371f, + 0.702754744f, -0.711432196f, + 0.703845241f, -0.710353347f, + 0.704934080f, -0.709272826f, + 0.706021261f, -0.708190637f, + 0.707106781f, -0.707106781f, + 0.708190637f, -0.706021261f, + 0.709272826f, -0.704934080f, + 0.710353347f, -0.703845241f, + 0.711432196f, -0.702754744f, + 0.712509371f, -0.701662595f, + 0.713584869f, -0.700568794f, + 0.714658688f, -0.699473345f, + 0.715730825f, -0.698376249f, + 0.716801279f, -0.697277511f, + 0.717870045f, -0.696177131f, + 0.718937122f, -0.695075114f, + 0.720002508f, -0.693971461f, + 0.721066199f, -0.692866175f, + 0.722128194f, -0.691759258f, + 0.723188489f, -0.690650714f, + 0.724247083f, -0.689540545f, + 0.725303972f, -0.688428753f, + 0.726359155f, -0.687315341f, + 0.727412629f, -0.686200312f, + 0.728464390f, -0.685083668f, + 0.729514438f, -0.683965412f, + 0.730562769f, -0.682845546f, + 0.731609381f, -0.681724074f, + 0.732654272f, -0.680600998f, + 0.733697438f, -0.679476320f, + 0.734738878f, -0.678350043f, + 0.735778589f, -0.677222170f, + 0.736816569f, -0.676092704f, + 0.737852815f, -0.674961646f, + 0.738887324f, -0.673829000f, + 0.739920095f, -0.672694769f, + 0.740951125f, -0.671558955f, + 0.741980412f, -0.670421560f, + 0.743007952f, -0.669282588f, + 0.744033744f, -0.668142041f, + 0.745057785f, -0.666999922f, + 0.746080074f, -0.665856234f, + 0.747100606f, -0.664710978f, + 0.748119380f, -0.663564159f, + 0.749136395f, -0.662415778f, + 0.750151646f, -0.661265838f, + 0.751165132f, -0.660114342f, + 0.752176850f, -0.658961293f, + 0.753186799f, -0.657806693f, + 0.754194975f, -0.656650546f, + 0.755201377f, -0.655492853f, + 0.756206001f, -0.654333618f, + 0.757208847f, -0.653172843f, + 0.758209910f, -0.652010531f, + 0.759209189f, -0.650846685f, + 0.760206682f, -0.649681307f, + 0.761202385f, -0.648514401f, + 0.762196298f, -0.647345969f, + 0.763188417f, -0.646176013f, + 0.764178741f, -0.645004537f, + 0.765167266f, -0.643831543f, + 0.766153990f, -0.642657034f, + 0.767138912f, -0.641481013f, + 0.768122029f, -0.640303482f, + 0.769103338f, -0.639124445f, + 0.770082837f, -0.637943904f, + 0.771060524f, -0.636761861f, + 0.772036397f, -0.635578320f, + 0.773010453f, -0.634393284f, + 0.773982691f, -0.633206755f, + 0.774953107f, -0.632018736f, + 0.775921699f, -0.630829230f, + 0.776888466f, -0.629638239f, + 0.777853404f, -0.628445767f, + 0.778816512f, -0.627251815f, + 0.779777788f, -0.626056388f, + 0.780737229f, -0.624859488f, + 0.781694832f, -0.623661118f, + 0.782650596f, -0.622461279f, + 0.783604519f, -0.621259977f, + 0.784556597f, -0.620057212f, + 0.785506830f, -0.618852988f, + 0.786455214f, -0.617647308f, + 0.787401747f, -0.616440175f, + 0.788346428f, -0.615231591f, + 0.789289253f, -0.614021559f, + 0.790230221f, -0.612810082f, + 0.791169330f, -0.611597164f, + 0.792106577f, -0.610382806f, + 0.793041960f, -0.609167012f, + 0.793975478f, -0.607949785f, + 0.794907126f, -0.606731127f, + 0.795836905f, -0.605511041f, + 0.796764810f, -0.604289531f, + 0.797690841f, -0.603066599f, + 0.798614995f, -0.601842247f, + 0.799537269f, -0.600616479f, + 0.800457662f, -0.599389298f, + 0.801376172f, -0.598160707f, + 0.802292796f, -0.596930708f, + 0.803207531f, -0.595699304f, + 0.804120377f, -0.594466499f, + 0.805031331f, -0.593232295f, + 0.805940391f, -0.591996695f, + 0.806847554f, -0.590759702f, + 0.807752818f, -0.589521319f, + 0.808656182f, -0.588281548f, + 0.809557642f, -0.587040394f, + 0.810457198f, -0.585797857f, + 0.811354847f, -0.584553943f, + 0.812250587f, -0.583308653f, + 0.813144415f, -0.582061990f, + 0.814036330f, -0.580813958f, + 0.814926329f, -0.579564559f, + 0.815814411f, -0.578313796f, + 0.816700573f, -0.577061673f, + 0.817584813f, -0.575808191f, + 0.818467130f, -0.574553355f, + 0.819347520f, -0.573297167f, + 0.820225983f, -0.572039629f, + 0.821102515f, -0.570780746f, + 0.821977115f, -0.569520519f, + 0.822849781f, -0.568258953f, + 0.823720511f, -0.566996049f, + 0.824589303f, -0.565731811f, + 0.825456154f, -0.564466242f, + 0.826321063f, -0.563199344f, + 0.827184027f, -0.561931121f, + 0.828045045f, -0.560661576f, + 0.828904115f, -0.559390712f, + 0.829761234f, -0.558118531f, + 0.830616400f, -0.556845037f, + 0.831469612f, -0.555570233f, + 0.832320868f, -0.554294121f, + 0.833170165f, -0.553016706f, + 0.834017501f, -0.551737988f, + 0.834862875f, -0.550457973f, + 0.835706284f, -0.549176662f, + 0.836547727f, -0.547894059f, + 0.837387202f, -0.546610167f, + 0.838224706f, -0.545324988f, + 0.839060237f, -0.544038527f, + 0.839893794f, -0.542750785f, + 0.840725375f, -0.541461766f, + 0.841554977f, -0.540171473f, + 0.842382600f, -0.538879909f, + 0.843208240f, -0.537587076f, + 0.844031895f, -0.536292979f, + 0.844853565f, -0.534997620f, + 0.845673247f, -0.533701002f, + 0.846490939f, -0.532403128f, + 0.847306639f, -0.531104001f, + 0.848120345f, -0.529803625f, + 0.848932055f, -0.528502002f, + 0.849741768f, -0.527199135f, + 0.850549481f, -0.525895027f, + 0.851355193f, -0.524589683f, + 0.852158902f, -0.523283103f, + 0.852960605f, -0.521975293f, + 0.853760301f, -0.520666254f, + 0.854557988f, -0.519355990f, + 0.855353665f, -0.518044504f, + 0.856147328f, -0.516731799f, + 0.856938977f, -0.515417878f, + 0.857728610f, -0.514102744f, + 0.858516224f, -0.512786401f, + 0.859301818f, -0.511468850f, + 0.860085390f, -0.510150097f, + 0.860866939f, -0.508830143f, + 0.861646461f, -0.507508991f, + 0.862423956f, -0.506186645f, + 0.863199422f, -0.504863109f, + 0.863972856f, -0.503538384f, + 0.864744258f, -0.502212474f, + 0.865513624f, -0.500885383f, + 0.866280954f, -0.499557113f, + 0.867046246f, -0.498227667f, + 0.867809497f, -0.496897049f, + 0.868570706f, -0.495565262f, + 0.869329871f, -0.494232309f, + 0.870086991f, -0.492898192f, + 0.870842063f, -0.491562916f, + 0.871595087f, -0.490226483f, + 0.872346059f, -0.488888897f, + 0.873094978f, -0.487550160f, + 0.873841843f, -0.486210276f, + 0.874586652f, -0.484869248f, + 0.875329403f, -0.483527079f, + 0.876070094f, -0.482183772f, + 0.876808724f, -0.480839331f, + 0.877545290f, -0.479493758f, + 0.878279792f, -0.478147056f, + 0.879012226f, -0.476799230f, + 0.879742593f, -0.475450282f, + 0.880470889f, -0.474100215f, + 0.881197113f, -0.472749032f, + 0.881921264f, -0.471396737f, + 0.882643340f, -0.470043332f, + 0.883363339f, -0.468688822f, + 0.884081259f, -0.467333209f, + 0.884797098f, -0.465976496f, + 0.885510856f, -0.464618686f, + 0.886222530f, -0.463259784f, + 0.886932119f, -0.461899791f, + 0.887639620f, -0.460538711f, + 0.888345033f, -0.459176548f, + 0.889048356f, -0.457813304f, + 0.889749586f, -0.456448982f, + 0.890448723f, -0.455083587f, + 0.891145765f, -0.453717121f, + 0.891840709f, -0.452349587f, + 0.892533555f, -0.450980989f, + 0.893224301f, -0.449611330f, + 0.893912945f, -0.448240612f, + 0.894599486f, -0.446868840f, + 0.895283921f, -0.445496017f, + 0.895966250f, -0.444122145f, + 0.896646470f, -0.442747228f, + 0.897324581f, -0.441371269f, + 0.898000580f, -0.439994271f, + 0.898674466f, -0.438616239f, + 0.899346237f, -0.437237174f, + 0.900015892f, -0.435857080f, + 0.900683429f, -0.434475961f, + 0.901348847f, -0.433093819f, + 0.902012144f, -0.431710658f, + 0.902673318f, -0.430326481f, + 0.903332368f, -0.428941292f, + 0.903989293f, -0.427555093f, + 0.904644091f, -0.426167889f, + 0.905296759f, -0.424779681f, + 0.905947298f, -0.423390474f, + 0.906595705f, -0.422000271f, + 0.907241978f, -0.420609074f, + 0.907886116f, -0.419216888f, + 0.908528119f, -0.417823716f, + 0.909167983f, -0.416429560f, + 0.909805708f, -0.415034424f, + 0.910441292f, -0.413638312f, + 0.911074734f, -0.412241227f, + 0.911706032f, -0.410843171f, + 0.912335185f, -0.409444149f, + 0.912962190f, -0.408044163f, + 0.913587048f, -0.406643217f, + 0.914209756f, -0.405241314f, + 0.914830312f, -0.403838458f, + 0.915448716f, -0.402434651f, + 0.916064966f, -0.401029897f, + 0.916679060f, -0.399624200f, + 0.917290997f, -0.398217562f, + 0.917900776f, -0.396809987f, + 0.918508394f, -0.395401479f, + 0.919113852f, -0.393992040f, + 0.919717146f, -0.392581674f, + 0.920318277f, -0.391170384f, + 0.920917242f, -0.389758174f, + 0.921514039f, -0.388345047f, + 0.922108669f, -0.386931006f, + 0.922701128f, -0.385516054f, + 0.923291417f, -0.384100195f, + 0.923879533f, -0.382683432f, + 0.924465474f, -0.381265769f, + 0.925049241f, -0.379847209f, + 0.925630831f, -0.378427755f, + 0.926210242f, -0.377007410f, + 0.926787474f, -0.375586178f, + 0.927362526f, -0.374164063f, + 0.927935395f, -0.372741067f, + 0.928506080f, -0.371317194f, + 0.929074581f, -0.369892447f, + 0.929640896f, -0.368466830f, + 0.930205023f, -0.367040346f, + 0.930766961f, -0.365612998f, + 0.931326709f, -0.364184790f, + 0.931884266f, -0.362755724f, + 0.932439629f, -0.361325806f, + 0.932992799f, -0.359895037f, + 0.933543773f, -0.358463421f, + 0.934092550f, -0.357030961f, + 0.934639130f, -0.355597662f, + 0.935183510f, -0.354163525f, + 0.935725689f, -0.352728556f, + 0.936265667f, -0.351292756f, + 0.936803442f, -0.349856130f, + 0.937339012f, -0.348418680f, + 0.937872376f, -0.346980411f, + 0.938403534f, -0.345541325f, + 0.938932484f, -0.344101426f, + 0.939459224f, -0.342660717f, + 0.939983753f, -0.341219202f, + 0.940506071f, -0.339776884f, + 0.941026175f, -0.338333767f, + 0.941544065f, -0.336889853f, + 0.942059740f, -0.335445147f, + 0.942573198f, -0.333999651f, + 0.943084437f, -0.332553370f, + 0.943593458f, -0.331106306f, + 0.944100258f, -0.329658463f, + 0.944604837f, -0.328209844f, + 0.945107193f, -0.326760452f, + 0.945607325f, -0.325310292f, + 0.946105232f, -0.323859367f, + 0.946600913f, -0.322407679f, + 0.947094366f, -0.320955232f, + 0.947585591f, -0.319502031f, + 0.948074586f, -0.318048077f, + 0.948561350f, -0.316593376f, + 0.949045882f, -0.315137929f, + 0.949528181f, -0.313681740f, + 0.950008245f, -0.312224814f, + 0.950486074f, -0.310767153f, + 0.950961666f, -0.309308760f, + 0.951435021f, -0.307849640f, + 0.951906137f, -0.306389795f, + 0.952375013f, -0.304929230f, + 0.952841648f, -0.303467947f, + 0.953306040f, -0.302005949f, + 0.953768190f, -0.300543241f, + 0.954228095f, -0.299079826f, + 0.954685755f, -0.297615707f, + 0.955141168f, -0.296150888f, + 0.955594334f, -0.294685372f, + 0.956045251f, -0.293219163f, + 0.956493919f, -0.291752263f, + 0.956940336f, -0.290284677f, + 0.957384501f, -0.288816408f, + 0.957826413f, -0.287347460f, + 0.958266071f, -0.285877835f, + 0.958703475f, -0.284407537f, + 0.959138622f, -0.282936570f, + 0.959571513f, -0.281464938f, + 0.960002146f, -0.279992643f, + 0.960430519f, -0.278519689f, + 0.960856633f, -0.277046080f, + 0.961280486f, -0.275571819f, + 0.961702077f, -0.274096910f, + 0.962121404f, -0.272621355f, + 0.962538468f, -0.271145160f, + 0.962953267f, -0.269668326f, + 0.963365800f, -0.268190857f, + 0.963776066f, -0.266712757f, + 0.964184064f, -0.265234030f, + 0.964589793f, -0.263754679f, + 0.964993253f, -0.262274707f, + 0.965394442f, -0.260794118f, + 0.965793359f, -0.259312915f, + 0.966190003f, -0.257831102f, + 0.966584374f, -0.256348682f, + 0.966976471f, -0.254865660f, + 0.967366292f, -0.253382037f, + 0.967753837f, -0.251897818f, + 0.968139105f, -0.250413007f, + 0.968522094f, -0.248927606f, + 0.968902805f, -0.247441619f, + 0.969281235f, -0.245955050f, + 0.969657385f, -0.244467903f, + 0.970031253f, -0.242980180f, + 0.970402839f, -0.241491885f, + 0.970772141f, -0.240003022f, + 0.971139158f, -0.238513595f, + 0.971503891f, -0.237023606f, + 0.971866337f, -0.235533059f, + 0.972226497f, -0.234041959f, + 0.972584369f, -0.232550307f, + 0.972939952f, -0.231058108f, + 0.973293246f, -0.229565366f, + 0.973644250f, -0.228072083f, + 0.973992962f, -0.226578264f, + 0.974339383f, -0.225083911f, + 0.974683511f, -0.223589029f, + 0.975025345f, -0.222093621f, + 0.975364885f, -0.220597690f, + 0.975702130f, -0.219101240f, + 0.976037079f, -0.217604275f, + 0.976369731f, -0.216106797f, + 0.976700086f, -0.214608811f, + 0.977028143f, -0.213110320f, + 0.977353900f, -0.211611327f, + 0.977677358f, -0.210111837f, + 0.977998515f, -0.208611852f, + 0.978317371f, -0.207111376f, + 0.978633924f, -0.205610413f, + 0.978948175f, -0.204108966f, + 0.979260123f, -0.202607039f, + 0.979569766f, -0.201104635f, + 0.979877104f, -0.199601758f, + 0.980182136f, -0.198098411f, + 0.980484862f, -0.196594598f, + 0.980785280f, -0.195090322f, + 0.981083391f, -0.193585587f, + 0.981379193f, -0.192080397f, + 0.981672686f, -0.190574755f, + 0.981963869f, -0.189068664f, + 0.982252741f, -0.187562129f, + 0.982539302f, -0.186055152f, + 0.982823551f, -0.184547737f, + 0.983105487f, -0.183039888f, + 0.983385110f, -0.181531608f, + 0.983662419f, -0.180022901f, + 0.983937413f, -0.178513771f, + 0.984210092f, -0.177004220f, + 0.984480455f, -0.175494253f, + 0.984748502f, -0.173983873f, + 0.985014231f, -0.172473084f, + 0.985277642f, -0.170961889f, + 0.985538735f, -0.169450291f, + 0.985797509f, -0.167938295f, + 0.986053963f, -0.166425904f, + 0.986308097f, -0.164913120f, + 0.986559910f, -0.163399949f, + 0.986809402f, -0.161886394f, + 0.987056571f, -0.160372457f, + 0.987301418f, -0.158858143f, + 0.987543942f, -0.157343456f, + 0.987784142f, -0.155828398f, + 0.988022017f, -0.154312973f, + 0.988257568f, -0.152797185f, + 0.988490793f, -0.151281038f, + 0.988721692f, -0.149764535f, + 0.988950265f, -0.148247679f, + 0.989176510f, -0.146730474f, + 0.989400428f, -0.145212925f, + 0.989622017f, -0.143695033f, + 0.989841278f, -0.142176804f, + 0.990058210f, -0.140658239f, + 0.990272812f, -0.139139344f, + 0.990485084f, -0.137620122f, + 0.990695025f, -0.136100575f, + 0.990902635f, -0.134580709f, + 0.991107914f, -0.133060525f, + 0.991310860f, -0.131540029f, + 0.991511473f, -0.130019223f, + 0.991709754f, -0.128498111f, + 0.991905700f, -0.126976696f, + 0.992099313f, -0.125454983f, + 0.992290591f, -0.123932975f, + 0.992479535f, -0.122410675f, + 0.992666142f, -0.120888087f, + 0.992850414f, -0.119365215f, + 0.993032350f, -0.117842062f, + 0.993211949f, -0.116318631f, + 0.993389211f, -0.114794927f, + 0.993564136f, -0.113270952f, + 0.993736722f, -0.111746711f, + 0.993906970f, -0.110222207f, + 0.994074879f, -0.108697444f, + 0.994240449f, -0.107172425f, + 0.994403680f, -0.105647154f, + 0.994564571f, -0.104121634f, + 0.994723121f, -0.102595869f, + 0.994879331f, -0.101069863f, + 0.995033199f, -0.099543619f, + 0.995184727f, -0.098017140f, + 0.995333912f, -0.096490431f, + 0.995480755f, -0.094963495f, + 0.995625256f, -0.093436336f, + 0.995767414f, -0.091908956f, + 0.995907229f, -0.090381361f, + 0.996044701f, -0.088853553f, + 0.996179829f, -0.087325535f, + 0.996312612f, -0.085797312f, + 0.996443051f, -0.084268888f, + 0.996571146f, -0.082740265f, + 0.996696895f, -0.081211447f, + 0.996820299f, -0.079682438f, + 0.996941358f, -0.078153242f, + 0.997060070f, -0.076623861f, + 0.997176437f, -0.075094301f, + 0.997290457f, -0.073564564f, + 0.997402130f, -0.072034653f, + 0.997511456f, -0.070504573f, + 0.997618435f, -0.068974328f, + 0.997723067f, -0.067443920f, + 0.997825350f, -0.065913353f, + 0.997925286f, -0.064382631f, + 0.998022874f, -0.062851758f, + 0.998118113f, -0.061320736f, + 0.998211003f, -0.059789571f, + 0.998301545f, -0.058258265f, + 0.998389737f, -0.056726821f, + 0.998475581f, -0.055195244f, + 0.998559074f, -0.053663538f, + 0.998640218f, -0.052131705f, + 0.998719012f, -0.050599749f, + 0.998795456f, -0.049067674f, + 0.998869550f, -0.047535484f, + 0.998941293f, -0.046003182f, + 0.999010686f, -0.044470772f, + 0.999077728f, -0.042938257f, + 0.999142419f, -0.041405641f, + 0.999204759f, -0.039872928f, + 0.999264747f, -0.038340120f, + 0.999322385f, -0.036807223f, + 0.999377670f, -0.035274239f, + 0.999430605f, -0.033741172f, + 0.999481187f, -0.032208025f, + 0.999529418f, -0.030674803f, + 0.999575296f, -0.029141509f, + 0.999618822f, -0.027608146f, + 0.999659997f, -0.026074718f, + 0.999698819f, -0.024541229f, + 0.999735288f, -0.023007681f, + 0.999769405f, -0.021474080f, + 0.999801170f, -0.019940429f, + 0.999830582f, -0.018406730f, + 0.999857641f, -0.016872988f, + 0.999882347f, -0.015339206f, + 0.999904701f, -0.013805389f, + 0.999924702f, -0.012271538f, + 0.999942350f, -0.010737659f, + 0.999957645f, -0.009203755f, + 0.999970586f, -0.007669829f, + 0.999981175f, -0.006135885f, + 0.999989411f, -0.004601926f, + 0.999995294f, -0.003067957f, + 0.999998823f, -0.001533980f +}; + +/* +* @brief Q31 Twiddle factors Table +*/ + + +/** +* \par +* Example code for Q31 Twiddle factors Generation:: +* \par +*
for(i = 0; i< 3N/4; i++)
+* {
+*    twiddleCoefQ31[2*i]= cos(i * 2*PI/(float)N);
+*    twiddleCoefQ31[2*i+1]= sin(i * 2*PI/(float)N);
+* } 
+* \par +* where N = 16 and PI = 3.14159265358979 +* \par +* Cos and Sin values are interleaved fashion +* \par +* Convert Floating point to Q31(Fixed point 1.31): +* round(twiddleCoefQ31(i) * pow(2, 31)) +* +*/ +const q31_t twiddleCoef_16_q31[24] = { + (q31_t)0x7FFFFFFF, (q31_t)0x00000000, + (q31_t)0x7641AF3C, (q31_t)0x30FBC54D, + (q31_t)0x5A82799A, (q31_t)0x5A82799A, + (q31_t)0x30FBC54D, (q31_t)0x7641AF3C, + (q31_t)0x00000000, (q31_t)0x7FFFFFFF, + (q31_t)0xCF043AB2, (q31_t)0x7641AF3C, + (q31_t)0xA57D8666, (q31_t)0x5A82799A, + (q31_t)0x89BE50C3, (q31_t)0x30FBC54D, + (q31_t)0x80000000, (q31_t)0x00000000, + (q31_t)0x89BE50C3, (q31_t)0xCF043AB2, + (q31_t)0xA57D8666, (q31_t)0xA57D8666, + (q31_t)0xCF043AB2, (q31_t)0x89BE50C3 +}; + +/** +* \par +* Example code for Q31 Twiddle factors Generation:: +* \par +*
for(i = 0; i< 3N/4; i++)
+* {
+*    twiddleCoefQ31[2*i]= cos(i * 2*PI/(float)N);
+*    twiddleCoefQ31[2*i+1]= sin(i * 2*PI/(float)N);
+* } 
+* \par +* where N = 32 and PI = 3.14159265358979 +* \par +* Cos and Sin values are interleaved fashion +* \par +* Convert Floating point to Q31(Fixed point 1.31): +* round(twiddleCoefQ31(i) * pow(2, 31)) +* +*/ +const q31_t twiddleCoef_32_q31[48] = { + (q31_t)0x7FFFFFFF, (q31_t)0x00000000, + (q31_t)0x7D8A5F3F, (q31_t)0x18F8B83C, + (q31_t)0x7641AF3C, (q31_t)0x30FBC54D, + (q31_t)0x6A6D98A4, (q31_t)0x471CECE6, + (q31_t)0x5A82799A, (q31_t)0x5A82799A, + (q31_t)0x471CECE6, (q31_t)0x6A6D98A4, + (q31_t)0x30FBC54D, (q31_t)0x7641AF3C, + (q31_t)0x18F8B83C, (q31_t)0x7D8A5F3F, + (q31_t)0x00000000, (q31_t)0x7FFFFFFF, + (q31_t)0xE70747C3, (q31_t)0x7D8A5F3F, + (q31_t)0xCF043AB2, (q31_t)0x7641AF3C, + (q31_t)0xB8E31319, (q31_t)0x6A6D98A4, + (q31_t)0xA57D8666, (q31_t)0x5A82799A, + (q31_t)0x9592675B, (q31_t)0x471CECE6, + (q31_t)0x89BE50C3, (q31_t)0x30FBC54D, + (q31_t)0x8275A0C0, (q31_t)0x18F8B83C, + (q31_t)0x80000000, (q31_t)0x00000000, + (q31_t)0x8275A0C0, (q31_t)0xE70747C3, + (q31_t)0x89BE50C3, (q31_t)0xCF043AB2, + (q31_t)0x9592675B, (q31_t)0xB8E31319, + (q31_t)0xA57D8666, (q31_t)0xA57D8666, + (q31_t)0xB8E31319, (q31_t)0x9592675B, + (q31_t)0xCF043AB2, (q31_t)0x89BE50C3, + (q31_t)0xE70747C3, (q31_t)0x8275A0C0 +}; + +/** +* \par +* Example code for Q31 Twiddle factors Generation:: +* \par +*
for(i = 0; i< 3N/4; i++)
+* {
+*    twiddleCoefQ31[2*i]= cos(i * 2*PI/(float)N);
+*    twiddleCoefQ31[2*i+1]= sin(i * 2*PI/(float)N);
+* } 
+* \par +* where N = 64 and PI = 3.14159265358979 +* \par +* Cos and Sin values are interleaved fashion +* \par +* Convert Floating point to Q31(Fixed point 1.31): +* round(twiddleCoefQ31(i) * pow(2, 31)) +* +*/ +const q31_t twiddleCoef_64_q31[96] = { + (q31_t)0x7FFFFFFF, (q31_t)0x00000000, (q31_t)0x7F62368F, + (q31_t)0x0C8BD35E, (q31_t)0x7D8A5F3F, (q31_t)0x18F8B83C, + (q31_t)0x7A7D055B, (q31_t)0x25280C5D, (q31_t)0x7641AF3C, + (q31_t)0x30FBC54D, (q31_t)0x70E2CBC6, (q31_t)0x3C56BA70, + (q31_t)0x6A6D98A4, (q31_t)0x471CECE6, (q31_t)0x62F201AC, + (q31_t)0x5133CC94, (q31_t)0x5A82799A, (q31_t)0x5A82799A, + (q31_t)0x5133CC94, (q31_t)0x62F201AC, (q31_t)0x471CECE6, + (q31_t)0x6A6D98A4, (q31_t)0x3C56BA70, (q31_t)0x70E2CBC6, + (q31_t)0x30FBC54D, (q31_t)0x7641AF3C, (q31_t)0x25280C5D, + (q31_t)0x7A7D055B, (q31_t)0x18F8B83C, (q31_t)0x7D8A5F3F, + (q31_t)0x0C8BD35E, (q31_t)0x7F62368F, (q31_t)0x00000000, + (q31_t)0x7FFFFFFF, (q31_t)0xF3742CA1, (q31_t)0x7F62368F, + (q31_t)0xE70747C3, (q31_t)0x7D8A5F3F, (q31_t)0xDAD7F3A2, + (q31_t)0x7A7D055B, (q31_t)0xCF043AB2, (q31_t)0x7641AF3C, + (q31_t)0xC3A9458F, (q31_t)0x70E2CBC6, (q31_t)0xB8E31319, + (q31_t)0x6A6D98A4, (q31_t)0xAECC336B, (q31_t)0x62F201AC, + (q31_t)0xA57D8666, (q31_t)0x5A82799A, (q31_t)0x9D0DFE53, + (q31_t)0x5133CC94, (q31_t)0x9592675B, (q31_t)0x471CECE6, + (q31_t)0x8F1D343A, (q31_t)0x3C56BA70, (q31_t)0x89BE50C3, + (q31_t)0x30FBC54D, (q31_t)0x8582FAA4, (q31_t)0x25280C5D, + (q31_t)0x8275A0C0, (q31_t)0x18F8B83C, (q31_t)0x809DC970, + (q31_t)0x0C8BD35E, (q31_t)0x80000000, (q31_t)0x00000000, + (q31_t)0x809DC970, (q31_t)0xF3742CA1, (q31_t)0x8275A0C0, + (q31_t)0xE70747C3, (q31_t)0x8582FAA4, (q31_t)0xDAD7F3A2, + (q31_t)0x89BE50C3, (q31_t)0xCF043AB2, (q31_t)0x8F1D343A, + (q31_t)0xC3A9458F, (q31_t)0x9592675B, (q31_t)0xB8E31319, + (q31_t)0x9D0DFE53, (q31_t)0xAECC336B, (q31_t)0xA57D8666, + (q31_t)0xA57D8666, (q31_t)0xAECC336B, (q31_t)0x9D0DFE53, + (q31_t)0xB8E31319, (q31_t)0x9592675B, (q31_t)0xC3A9458F, + (q31_t)0x8F1D343A, (q31_t)0xCF043AB2, (q31_t)0x89BE50C3, + (q31_t)0xDAD7F3A2, (q31_t)0x8582FAA4, (q31_t)0xE70747C3, + (q31_t)0x8275A0C0, (q31_t)0xF3742CA1, (q31_t)0x809DC970 +}; + +/** +* \par +* Example code for Q31 Twiddle factors Generation:: +* \par +*
for(i = 0; i< 3N/4; i++)
+* {
+*    twiddleCoefQ31[2*i]= cos(i * 2*PI/(float)N);
+*    twiddleCoefQ31[2*i+1]= sin(i * 2*PI/(float)N);
+* } 
+* \par +* where N = 128 and PI = 3.14159265358979 +* \par +* Cos and Sin values are interleaved fashion +* \par +* Convert Floating point to Q31(Fixed point 1.31): +* round(twiddleCoefQ31(i) * pow(2, 31)) +* +*/ +const q31_t twiddleCoef_128_q31[192] = { + (q31_t)0x7FFFFFFF, (q31_t)0x00000000, (q31_t)0x7FD8878D, + (q31_t)0x0647D97C, (q31_t)0x7F62368F, (q31_t)0x0C8BD35E, + (q31_t)0x7E9D55FC, (q31_t)0x12C8106E, (q31_t)0x7D8A5F3F, + (q31_t)0x18F8B83C, (q31_t)0x7C29FBEE, (q31_t)0x1F19F97B, + (q31_t)0x7A7D055B, (q31_t)0x25280C5D, (q31_t)0x78848413, + (q31_t)0x2B1F34EB, (q31_t)0x7641AF3C, (q31_t)0x30FBC54D, + (q31_t)0x73B5EBD0, (q31_t)0x36BA2013, (q31_t)0x70E2CBC6, + (q31_t)0x3C56BA70, (q31_t)0x6DCA0D14, (q31_t)0x41CE1E64, + (q31_t)0x6A6D98A4, (q31_t)0x471CECE6, (q31_t)0x66CF811F, + (q31_t)0x4C3FDFF3, (q31_t)0x62F201AC, (q31_t)0x5133CC94, + (q31_t)0x5ED77C89, (q31_t)0x55F5A4D2, (q31_t)0x5A82799A, + (q31_t)0x5A82799A, (q31_t)0x55F5A4D2, (q31_t)0x5ED77C89, + (q31_t)0x5133CC94, (q31_t)0x62F201AC, (q31_t)0x4C3FDFF3, + (q31_t)0x66CF811F, (q31_t)0x471CECE6, (q31_t)0x6A6D98A4, + (q31_t)0x41CE1E64, (q31_t)0x6DCA0D14, (q31_t)0x3C56BA70, + (q31_t)0x70E2CBC6, (q31_t)0x36BA2013, (q31_t)0x73B5EBD0, + (q31_t)0x30FBC54D, (q31_t)0x7641AF3C, (q31_t)0x2B1F34EB, + (q31_t)0x78848413, (q31_t)0x25280C5D, (q31_t)0x7A7D055B, + (q31_t)0x1F19F97B, (q31_t)0x7C29FBEE, (q31_t)0x18F8B83C, + (q31_t)0x7D8A5F3F, (q31_t)0x12C8106E, (q31_t)0x7E9D55FC, + (q31_t)0x0C8BD35E, (q31_t)0x7F62368F, (q31_t)0x0647D97C, + (q31_t)0x7FD8878D, (q31_t)0x00000000, (q31_t)0x7FFFFFFF, + (q31_t)0xF9B82683, (q31_t)0x7FD8878D, (q31_t)0xF3742CA1, + (q31_t)0x7F62368F, (q31_t)0xED37EF91, (q31_t)0x7E9D55FC, + (q31_t)0xE70747C3, (q31_t)0x7D8A5F3F, (q31_t)0xE0E60684, + (q31_t)0x7C29FBEE, (q31_t)0xDAD7F3A2, (q31_t)0x7A7D055B, + (q31_t)0xD4E0CB14, (q31_t)0x78848413, (q31_t)0xCF043AB2, + (q31_t)0x7641AF3C, (q31_t)0xC945DFEC, (q31_t)0x73B5EBD0, + (q31_t)0xC3A9458F, (q31_t)0x70E2CBC6, (q31_t)0xBE31E19B, + (q31_t)0x6DCA0D14, (q31_t)0xB8E31319, (q31_t)0x6A6D98A4, + (q31_t)0xB3C0200C, (q31_t)0x66CF811F, (q31_t)0xAECC336B, + (q31_t)0x62F201AC, (q31_t)0xAA0A5B2D, (q31_t)0x5ED77C89, + (q31_t)0xA57D8666, (q31_t)0x5A82799A, (q31_t)0xA1288376, + (q31_t)0x55F5A4D2, (q31_t)0x9D0DFE53, (q31_t)0x5133CC94, + (q31_t)0x99307EE0, (q31_t)0x4C3FDFF3, (q31_t)0x9592675B, + (q31_t)0x471CECE6, (q31_t)0x9235F2EB, (q31_t)0x41CE1E64, + (q31_t)0x8F1D343A, (q31_t)0x3C56BA70, (q31_t)0x8C4A142F, + (q31_t)0x36BA2013, (q31_t)0x89BE50C3, (q31_t)0x30FBC54D, + (q31_t)0x877B7BEC, (q31_t)0x2B1F34EB, (q31_t)0x8582FAA4, + (q31_t)0x25280C5D, (q31_t)0x83D60411, (q31_t)0x1F19F97B, + (q31_t)0x8275A0C0, (q31_t)0x18F8B83C, (q31_t)0x8162AA03, + (q31_t)0x12C8106E, (q31_t)0x809DC970, (q31_t)0x0C8BD35E, + (q31_t)0x80277872, (q31_t)0x0647D97C, (q31_t)0x80000000, + (q31_t)0x00000000, (q31_t)0x80277872, (q31_t)0xF9B82683, + (q31_t)0x809DC970, (q31_t)0xF3742CA1, (q31_t)0x8162AA03, + (q31_t)0xED37EF91, (q31_t)0x8275A0C0, (q31_t)0xE70747C3, + (q31_t)0x83D60411, (q31_t)0xE0E60684, (q31_t)0x8582FAA4, + (q31_t)0xDAD7F3A2, (q31_t)0x877B7BEC, (q31_t)0xD4E0CB14, + (q31_t)0x89BE50C3, (q31_t)0xCF043AB2, (q31_t)0x8C4A142F, + (q31_t)0xC945DFEC, (q31_t)0x8F1D343A, (q31_t)0xC3A9458F, + (q31_t)0x9235F2EB, (q31_t)0xBE31E19B, (q31_t)0x9592675B, + (q31_t)0xB8E31319, (q31_t)0x99307EE0, (q31_t)0xB3C0200C, + (q31_t)0x9D0DFE53, (q31_t)0xAECC336B, (q31_t)0xA1288376, + (q31_t)0xAA0A5B2D, (q31_t)0xA57D8666, (q31_t)0xA57D8666, + (q31_t)0xAA0A5B2D, (q31_t)0xA1288376, (q31_t)0xAECC336B, + (q31_t)0x9D0DFE53, (q31_t)0xB3C0200C, (q31_t)0x99307EE0, + (q31_t)0xB8E31319, (q31_t)0x9592675B, (q31_t)0xBE31E19B, + (q31_t)0x9235F2EB, (q31_t)0xC3A9458F, (q31_t)0x8F1D343A, + (q31_t)0xC945DFEC, (q31_t)0x8C4A142F, (q31_t)0xCF043AB2, + (q31_t)0x89BE50C3, (q31_t)0xD4E0CB14, (q31_t)0x877B7BEC, + (q31_t)0xDAD7F3A2, (q31_t)0x8582FAA4, (q31_t)0xE0E60684, + (q31_t)0x83D60411, (q31_t)0xE70747C3, (q31_t)0x8275A0C0, + (q31_t)0xED37EF91, (q31_t)0x8162AA03, (q31_t)0xF3742CA1, + (q31_t)0x809DC970, (q31_t)0xF9B82683, (q31_t)0x80277872 +}; + +/** +* \par +* Example code for Q31 Twiddle factors Generation:: +* \par +*
for(i = 0; i< 3N/4; i++)
+* {
+*    twiddleCoefQ31[2*i]= cos(i * 2*PI/(float)N);
+*    twiddleCoefQ31[2*i+1]= sin(i * 2*PI/(float)N);
+* } 
+* \par +* where N = 256 and PI = 3.14159265358979 +* \par +* Cos and Sin values are interleaved fashion +* \par +* Convert Floating point to Q31(Fixed point 1.31): +* round(twiddleCoefQ31(i) * pow(2, 31)) +* +*/ +const q31_t twiddleCoef_256_q31[384] = { + (q31_t)0x7FFFFFFF, (q31_t)0x00000000, (q31_t)0x7FF62182, + (q31_t)0x03242ABF, (q31_t)0x7FD8878D, (q31_t)0x0647D97C, + (q31_t)0x7FA736B4, (q31_t)0x096A9049, (q31_t)0x7F62368F, + (q31_t)0x0C8BD35E, (q31_t)0x7F0991C3, (q31_t)0x0FAB272B, + (q31_t)0x7E9D55FC, (q31_t)0x12C8106E, (q31_t)0x7E1D93E9, + (q31_t)0x15E21444, (q31_t)0x7D8A5F3F, (q31_t)0x18F8B83C, + (q31_t)0x7CE3CEB1, (q31_t)0x1C0B826A, (q31_t)0x7C29FBEE, + (q31_t)0x1F19F97B, (q31_t)0x7B5D039D, (q31_t)0x2223A4C5, + (q31_t)0x7A7D055B, (q31_t)0x25280C5D, (q31_t)0x798A23B1, + (q31_t)0x2826B928, (q31_t)0x78848413, (q31_t)0x2B1F34EB, + (q31_t)0x776C4EDB, (q31_t)0x2E110A62, (q31_t)0x7641AF3C, + (q31_t)0x30FBC54D, (q31_t)0x7504D345, (q31_t)0x33DEF287, + (q31_t)0x73B5EBD0, (q31_t)0x36BA2013, (q31_t)0x72552C84, + (q31_t)0x398CDD32, (q31_t)0x70E2CBC6, (q31_t)0x3C56BA70, + (q31_t)0x6F5F02B1, (q31_t)0x3F1749B7, (q31_t)0x6DCA0D14, + (q31_t)0x41CE1E64, (q31_t)0x6C242960, (q31_t)0x447ACD50, + (q31_t)0x6A6D98A4, (q31_t)0x471CECE6, (q31_t)0x68A69E81, + (q31_t)0x49B41533, (q31_t)0x66CF811F, (q31_t)0x4C3FDFF3, + (q31_t)0x64E88926, (q31_t)0x4EBFE8A4, (q31_t)0x62F201AC, + (q31_t)0x5133CC94, (q31_t)0x60EC3830, (q31_t)0x539B2AEF, + (q31_t)0x5ED77C89, (q31_t)0x55F5A4D2, (q31_t)0x5CB420DF, + (q31_t)0x5842DD54, (q31_t)0x5A82799A, (q31_t)0x5A82799A, + (q31_t)0x5842DD54, (q31_t)0x5CB420DF, (q31_t)0x55F5A4D2, + (q31_t)0x5ED77C89, (q31_t)0x539B2AEF, (q31_t)0x60EC3830, + (q31_t)0x5133CC94, (q31_t)0x62F201AC, (q31_t)0x4EBFE8A4, + (q31_t)0x64E88926, (q31_t)0x4C3FDFF3, (q31_t)0x66CF811F, + (q31_t)0x49B41533, (q31_t)0x68A69E81, (q31_t)0x471CECE6, + (q31_t)0x6A6D98A4, (q31_t)0x447ACD50, (q31_t)0x6C242960, + (q31_t)0x41CE1E64, (q31_t)0x6DCA0D14, (q31_t)0x3F1749B7, + (q31_t)0x6F5F02B1, (q31_t)0x3C56BA70, (q31_t)0x70E2CBC6, + (q31_t)0x398CDD32, (q31_t)0x72552C84, (q31_t)0x36BA2013, + (q31_t)0x73B5EBD0, (q31_t)0x33DEF287, (q31_t)0x7504D345, + (q31_t)0x30FBC54D, (q31_t)0x7641AF3C, (q31_t)0x2E110A62, + (q31_t)0x776C4EDB, (q31_t)0x2B1F34EB, (q31_t)0x78848413, + (q31_t)0x2826B928, (q31_t)0x798A23B1, (q31_t)0x25280C5D, + (q31_t)0x7A7D055B, (q31_t)0x2223A4C5, (q31_t)0x7B5D039D, + (q31_t)0x1F19F97B, (q31_t)0x7C29FBEE, (q31_t)0x1C0B826A, + (q31_t)0x7CE3CEB1, (q31_t)0x18F8B83C, (q31_t)0x7D8A5F3F, + (q31_t)0x15E21444, (q31_t)0x7E1D93E9, (q31_t)0x12C8106E, + (q31_t)0x7E9D55FC, (q31_t)0x0FAB272B, (q31_t)0x7F0991C3, + (q31_t)0x0C8BD35E, (q31_t)0x7F62368F, (q31_t)0x096A9049, + (q31_t)0x7FA736B4, (q31_t)0x0647D97C, (q31_t)0x7FD8878D, + (q31_t)0x03242ABF, (q31_t)0x7FF62182, (q31_t)0x00000000, + (q31_t)0x7FFFFFFF, (q31_t)0xFCDBD541, (q31_t)0x7FF62182, + (q31_t)0xF9B82683, (q31_t)0x7FD8878D, (q31_t)0xF6956FB6, + (q31_t)0x7FA736B4, (q31_t)0xF3742CA1, (q31_t)0x7F62368F, + (q31_t)0xF054D8D4, (q31_t)0x7F0991C3, (q31_t)0xED37EF91, + (q31_t)0x7E9D55FC, (q31_t)0xEA1DEBBB, (q31_t)0x7E1D93E9, + (q31_t)0xE70747C3, (q31_t)0x7D8A5F3F, (q31_t)0xE3F47D95, + (q31_t)0x7CE3CEB1, (q31_t)0xE0E60684, (q31_t)0x7C29FBEE, + (q31_t)0xDDDC5B3A, (q31_t)0x7B5D039D, (q31_t)0xDAD7F3A2, + (q31_t)0x7A7D055B, (q31_t)0xD7D946D7, (q31_t)0x798A23B1, + (q31_t)0xD4E0CB14, (q31_t)0x78848413, (q31_t)0xD1EEF59E, + (q31_t)0x776C4EDB, (q31_t)0xCF043AB2, (q31_t)0x7641AF3C, + (q31_t)0xCC210D78, (q31_t)0x7504D345, (q31_t)0xC945DFEC, + (q31_t)0x73B5EBD0, (q31_t)0xC67322CD, (q31_t)0x72552C84, + (q31_t)0xC3A9458F, (q31_t)0x70E2CBC6, (q31_t)0xC0E8B648, + (q31_t)0x6F5F02B1, (q31_t)0xBE31E19B, (q31_t)0x6DCA0D14, + (q31_t)0xBB8532AF, (q31_t)0x6C242960, (q31_t)0xB8E31319, + (q31_t)0x6A6D98A4, (q31_t)0xB64BEACC, (q31_t)0x68A69E81, + (q31_t)0xB3C0200C, (q31_t)0x66CF811F, (q31_t)0xB140175B, + (q31_t)0x64E88926, (q31_t)0xAECC336B, (q31_t)0x62F201AC, + (q31_t)0xAC64D510, (q31_t)0x60EC3830, (q31_t)0xAA0A5B2D, + (q31_t)0x5ED77C89, (q31_t)0xA7BD22AB, (q31_t)0x5CB420DF, + (q31_t)0xA57D8666, (q31_t)0x5A82799A, (q31_t)0xA34BDF20, + (q31_t)0x5842DD54, (q31_t)0xA1288376, (q31_t)0x55F5A4D2, + (q31_t)0x9F13C7D0, (q31_t)0x539B2AEF, (q31_t)0x9D0DFE53, + (q31_t)0x5133CC94, (q31_t)0x9B1776D9, (q31_t)0x4EBFE8A4, + (q31_t)0x99307EE0, (q31_t)0x4C3FDFF3, (q31_t)0x9759617E, + (q31_t)0x49B41533, (q31_t)0x9592675B, (q31_t)0x471CECE6, + (q31_t)0x93DBD69F, (q31_t)0x447ACD50, (q31_t)0x9235F2EB, + (q31_t)0x41CE1E64, (q31_t)0x90A0FD4E, (q31_t)0x3F1749B7, + (q31_t)0x8F1D343A, (q31_t)0x3C56BA70, (q31_t)0x8DAAD37B, + (q31_t)0x398CDD32, (q31_t)0x8C4A142F, (q31_t)0x36BA2013, + (q31_t)0x8AFB2CBA, (q31_t)0x33DEF287, (q31_t)0x89BE50C3, + (q31_t)0x30FBC54D, (q31_t)0x8893B124, (q31_t)0x2E110A62, + (q31_t)0x877B7BEC, (q31_t)0x2B1F34EB, (q31_t)0x8675DC4E, + (q31_t)0x2826B928, (q31_t)0x8582FAA4, (q31_t)0x25280C5D, + (q31_t)0x84A2FC62, (q31_t)0x2223A4C5, (q31_t)0x83D60411, + (q31_t)0x1F19F97B, (q31_t)0x831C314E, (q31_t)0x1C0B826A, + (q31_t)0x8275A0C0, (q31_t)0x18F8B83C, (q31_t)0x81E26C16, + (q31_t)0x15E21444, (q31_t)0x8162AA03, (q31_t)0x12C8106E, + (q31_t)0x80F66E3C, (q31_t)0x0FAB272B, (q31_t)0x809DC970, + (q31_t)0x0C8BD35E, (q31_t)0x8058C94C, (q31_t)0x096A9049, + (q31_t)0x80277872, (q31_t)0x0647D97C, (q31_t)0x8009DE7D, + (q31_t)0x03242ABF, (q31_t)0x80000000, (q31_t)0x00000000, + (q31_t)0x8009DE7D, (q31_t)0xFCDBD541, (q31_t)0x80277872, + (q31_t)0xF9B82683, (q31_t)0x8058C94C, (q31_t)0xF6956FB6, + (q31_t)0x809DC970, (q31_t)0xF3742CA1, (q31_t)0x80F66E3C, + (q31_t)0xF054D8D4, (q31_t)0x8162AA03, (q31_t)0xED37EF91, + (q31_t)0x81E26C16, (q31_t)0xEA1DEBBB, (q31_t)0x8275A0C0, + (q31_t)0xE70747C3, (q31_t)0x831C314E, (q31_t)0xE3F47D95, + (q31_t)0x83D60411, (q31_t)0xE0E60684, (q31_t)0x84A2FC62, + (q31_t)0xDDDC5B3A, (q31_t)0x8582FAA4, (q31_t)0xDAD7F3A2, + (q31_t)0x8675DC4E, (q31_t)0xD7D946D7, (q31_t)0x877B7BEC, + (q31_t)0xD4E0CB14, (q31_t)0x8893B124, (q31_t)0xD1EEF59E, + (q31_t)0x89BE50C3, (q31_t)0xCF043AB2, (q31_t)0x8AFB2CBA, + (q31_t)0xCC210D78, (q31_t)0x8C4A142F, (q31_t)0xC945DFEC, + (q31_t)0x8DAAD37B, (q31_t)0xC67322CD, (q31_t)0x8F1D343A, + (q31_t)0xC3A9458F, (q31_t)0x90A0FD4E, (q31_t)0xC0E8B648, + (q31_t)0x9235F2EB, (q31_t)0xBE31E19B, (q31_t)0x93DBD69F, + (q31_t)0xBB8532AF, (q31_t)0x9592675B, (q31_t)0xB8E31319, + (q31_t)0x9759617E, (q31_t)0xB64BEACC, (q31_t)0x99307EE0, + (q31_t)0xB3C0200C, (q31_t)0x9B1776D9, (q31_t)0xB140175B, + (q31_t)0x9D0DFE53, (q31_t)0xAECC336B, (q31_t)0x9F13C7D0, + (q31_t)0xAC64D510, (q31_t)0xA1288376, (q31_t)0xAA0A5B2D, + (q31_t)0xA34BDF20, (q31_t)0xA7BD22AB, (q31_t)0xA57D8666, + (q31_t)0xA57D8666, (q31_t)0xA7BD22AB, (q31_t)0xA34BDF20, + (q31_t)0xAA0A5B2D, (q31_t)0xA1288376, (q31_t)0xAC64D510, + (q31_t)0x9F13C7D0, (q31_t)0xAECC336B, (q31_t)0x9D0DFE53, + (q31_t)0xB140175B, (q31_t)0x9B1776D9, (q31_t)0xB3C0200C, + (q31_t)0x99307EE0, (q31_t)0xB64BEACC, (q31_t)0x9759617E, + (q31_t)0xB8E31319, (q31_t)0x9592675B, (q31_t)0xBB8532AF, + (q31_t)0x93DBD69F, (q31_t)0xBE31E19B, (q31_t)0x9235F2EB, + (q31_t)0xC0E8B648, (q31_t)0x90A0FD4E, (q31_t)0xC3A9458F, + (q31_t)0x8F1D343A, (q31_t)0xC67322CD, (q31_t)0x8DAAD37B, + (q31_t)0xC945DFEC, (q31_t)0x8C4A142F, (q31_t)0xCC210D78, + (q31_t)0x8AFB2CBA, (q31_t)0xCF043AB2, (q31_t)0x89BE50C3, + (q31_t)0xD1EEF59E, (q31_t)0x8893B124, (q31_t)0xD4E0CB14, + (q31_t)0x877B7BEC, (q31_t)0xD7D946D7, (q31_t)0x8675DC4E, + (q31_t)0xDAD7F3A2, (q31_t)0x8582FAA4, (q31_t)0xDDDC5B3A, + (q31_t)0x84A2FC62, (q31_t)0xE0E60684, (q31_t)0x83D60411, + (q31_t)0xE3F47D95, (q31_t)0x831C314E, (q31_t)0xE70747C3, + (q31_t)0x8275A0C0, (q31_t)0xEA1DEBBB, (q31_t)0x81E26C16, + (q31_t)0xED37EF91, (q31_t)0x8162AA03, (q31_t)0xF054D8D4, + (q31_t)0x80F66E3C, (q31_t)0xF3742CA1, (q31_t)0x809DC970, + (q31_t)0xF6956FB6, (q31_t)0x8058C94C, (q31_t)0xF9B82683, + (q31_t)0x80277872, (q31_t)0xFCDBD541, (q31_t)0x8009DE7D +}; + +/** +* \par +* Example code for Q31 Twiddle factors Generation:: +* \par +*
for(i = 0; i< 3N/4; i++)
+* {
+*    twiddleCoefQ31[2*i]= cos(i * 2*PI/(float)N);
+*    twiddleCoefQ31[2*i+1]= sin(i * 2*PI/(float)N);
+* } 
+* \par +* where N = 512 and PI = 3.14159265358979 +* \par +* Cos and Sin values are interleaved fashion +* \par +* Convert Floating point to Q31(Fixed point 1.31): +* round(twiddleCoefQ31(i) * pow(2, 31)) +* +*/ +const q31_t twiddleCoef_512_q31[768] = { + (q31_t)0x7FFFFFFF, (q31_t)0x00000000, (q31_t)0x7FFD885A, + (q31_t)0x01921D1F, (q31_t)0x7FF62182, (q31_t)0x03242ABF, + (q31_t)0x7FE9CBC0, (q31_t)0x04B6195D, (q31_t)0x7FD8878D, + (q31_t)0x0647D97C, (q31_t)0x7FC25596, (q31_t)0x07D95B9E, + (q31_t)0x7FA736B4, (q31_t)0x096A9049, (q31_t)0x7F872BF3, + (q31_t)0x0AFB6805, (q31_t)0x7F62368F, (q31_t)0x0C8BD35E, + (q31_t)0x7F3857F5, (q31_t)0x0E1BC2E3, (q31_t)0x7F0991C3, + (q31_t)0x0FAB272B, (q31_t)0x7ED5E5C6, (q31_t)0x1139F0CE, + (q31_t)0x7E9D55FC, (q31_t)0x12C8106E, (q31_t)0x7E5FE493, + (q31_t)0x145576B1, (q31_t)0x7E1D93E9, (q31_t)0x15E21444, + (q31_t)0x7DD6668E, (q31_t)0x176DD9DE, (q31_t)0x7D8A5F3F, + (q31_t)0x18F8B83C, (q31_t)0x7D3980EC, (q31_t)0x1A82A025, + (q31_t)0x7CE3CEB1, (q31_t)0x1C0B826A, (q31_t)0x7C894BDD, + (q31_t)0x1D934FE5, (q31_t)0x7C29FBEE, (q31_t)0x1F19F97B, + (q31_t)0x7BC5E28F, (q31_t)0x209F701C, (q31_t)0x7B5D039D, + (q31_t)0x2223A4C5, (q31_t)0x7AEF6323, (q31_t)0x23A6887E, + (q31_t)0x7A7D055B, (q31_t)0x25280C5D, (q31_t)0x7A05EEAD, + (q31_t)0x26A82185, (q31_t)0x798A23B1, (q31_t)0x2826B928, + (q31_t)0x7909A92C, (q31_t)0x29A3C484, (q31_t)0x78848413, + (q31_t)0x2B1F34EB, (q31_t)0x77FAB988, (q31_t)0x2C98FBBA, + (q31_t)0x776C4EDB, (q31_t)0x2E110A62, (q31_t)0x76D94988, + (q31_t)0x2F875262, (q31_t)0x7641AF3C, (q31_t)0x30FBC54D, + (q31_t)0x75A585CF, (q31_t)0x326E54C7, (q31_t)0x7504D345, + (q31_t)0x33DEF287, (q31_t)0x745F9DD1, (q31_t)0x354D9056, + (q31_t)0x73B5EBD0, (q31_t)0x36BA2013, (q31_t)0x7307C3D0, + (q31_t)0x382493B0, (q31_t)0x72552C84, (q31_t)0x398CDD32, + (q31_t)0x719E2CD2, (q31_t)0x3AF2EEB7, (q31_t)0x70E2CBC6, + (q31_t)0x3C56BA70, (q31_t)0x70231099, (q31_t)0x3DB832A5, + (q31_t)0x6F5F02B1, (q31_t)0x3F1749B7, (q31_t)0x6E96A99C, + (q31_t)0x4073F21D, (q31_t)0x6DCA0D14, (q31_t)0x41CE1E64, + (q31_t)0x6CF934FB, (q31_t)0x4325C135, (q31_t)0x6C242960, + (q31_t)0x447ACD50, (q31_t)0x6B4AF278, (q31_t)0x45CD358F, + (q31_t)0x6A6D98A4, (q31_t)0x471CECE6, (q31_t)0x698C246C, + (q31_t)0x4869E664, (q31_t)0x68A69E81, (q31_t)0x49B41533, + (q31_t)0x67BD0FBC, (q31_t)0x4AFB6C97, (q31_t)0x66CF811F, + (q31_t)0x4C3FDFF3, (q31_t)0x65DDFBD3, (q31_t)0x4D8162C4, + (q31_t)0x64E88926, (q31_t)0x4EBFE8A4, (q31_t)0x63EF328F, + (q31_t)0x4FFB654D, (q31_t)0x62F201AC, (q31_t)0x5133CC94, + (q31_t)0x61F1003E, (q31_t)0x5269126E, (q31_t)0x60EC3830, + (q31_t)0x539B2AEF, (q31_t)0x5FE3B38D, (q31_t)0x54CA0A4A, + (q31_t)0x5ED77C89, (q31_t)0x55F5A4D2, (q31_t)0x5DC79D7C, + (q31_t)0x571DEEF9, (q31_t)0x5CB420DF, (q31_t)0x5842DD54, + (q31_t)0x5B9D1153, (q31_t)0x59646497, (q31_t)0x5A82799A, + (q31_t)0x5A82799A, (q31_t)0x59646497, (q31_t)0x5B9D1153, + (q31_t)0x5842DD54, (q31_t)0x5CB420DF, (q31_t)0x571DEEF9, + (q31_t)0x5DC79D7C, (q31_t)0x55F5A4D2, (q31_t)0x5ED77C89, + (q31_t)0x54CA0A4A, (q31_t)0x5FE3B38D, (q31_t)0x539B2AEF, + (q31_t)0x60EC3830, (q31_t)0x5269126E, (q31_t)0x61F1003E, + (q31_t)0x5133CC94, (q31_t)0x62F201AC, (q31_t)0x4FFB654D, + (q31_t)0x63EF328F, (q31_t)0x4EBFE8A4, (q31_t)0x64E88926, + (q31_t)0x4D8162C4, (q31_t)0x65DDFBD3, (q31_t)0x4C3FDFF3, + (q31_t)0x66CF811F, (q31_t)0x4AFB6C97, (q31_t)0x67BD0FBC, + (q31_t)0x49B41533, (q31_t)0x68A69E81, (q31_t)0x4869E664, + (q31_t)0x698C246C, (q31_t)0x471CECE6, (q31_t)0x6A6D98A4, + (q31_t)0x45CD358F, (q31_t)0x6B4AF278, (q31_t)0x447ACD50, + (q31_t)0x6C242960, (q31_t)0x4325C135, (q31_t)0x6CF934FB, + (q31_t)0x41CE1E64, (q31_t)0x6DCA0D14, (q31_t)0x4073F21D, + (q31_t)0x6E96A99C, (q31_t)0x3F1749B7, (q31_t)0x6F5F02B1, + (q31_t)0x3DB832A5, (q31_t)0x70231099, (q31_t)0x3C56BA70, + (q31_t)0x70E2CBC6, (q31_t)0x3AF2EEB7, (q31_t)0x719E2CD2, + (q31_t)0x398CDD32, (q31_t)0x72552C84, (q31_t)0x382493B0, + (q31_t)0x7307C3D0, (q31_t)0x36BA2013, (q31_t)0x73B5EBD0, + (q31_t)0x354D9056, (q31_t)0x745F9DD1, (q31_t)0x33DEF287, + (q31_t)0x7504D345, (q31_t)0x326E54C7, (q31_t)0x75A585CF, + (q31_t)0x30FBC54D, (q31_t)0x7641AF3C, (q31_t)0x2F875262, + (q31_t)0x76D94988, (q31_t)0x2E110A62, (q31_t)0x776C4EDB, + (q31_t)0x2C98FBBA, (q31_t)0x77FAB988, (q31_t)0x2B1F34EB, + (q31_t)0x78848413, (q31_t)0x29A3C484, (q31_t)0x7909A92C, + (q31_t)0x2826B928, (q31_t)0x798A23B1, (q31_t)0x26A82185, + (q31_t)0x7A05EEAD, (q31_t)0x25280C5D, (q31_t)0x7A7D055B, + (q31_t)0x23A6887E, (q31_t)0x7AEF6323, (q31_t)0x2223A4C5, + (q31_t)0x7B5D039D, (q31_t)0x209F701C, (q31_t)0x7BC5E28F, + (q31_t)0x1F19F97B, (q31_t)0x7C29FBEE, (q31_t)0x1D934FE5, + (q31_t)0x7C894BDD, (q31_t)0x1C0B826A, (q31_t)0x7CE3CEB1, + (q31_t)0x1A82A025, (q31_t)0x7D3980EC, (q31_t)0x18F8B83C, + (q31_t)0x7D8A5F3F, (q31_t)0x176DD9DE, (q31_t)0x7DD6668E, + (q31_t)0x15E21444, (q31_t)0x7E1D93E9, (q31_t)0x145576B1, + (q31_t)0x7E5FE493, (q31_t)0x12C8106E, (q31_t)0x7E9D55FC, + (q31_t)0x1139F0CE, (q31_t)0x7ED5E5C6, (q31_t)0x0FAB272B, + (q31_t)0x7F0991C3, (q31_t)0x0E1BC2E3, (q31_t)0x7F3857F5, + (q31_t)0x0C8BD35E, (q31_t)0x7F62368F, (q31_t)0x0AFB6805, + (q31_t)0x7F872BF3, (q31_t)0x096A9049, (q31_t)0x7FA736B4, + (q31_t)0x07D95B9E, (q31_t)0x7FC25596, (q31_t)0x0647D97C, + (q31_t)0x7FD8878D, (q31_t)0x04B6195D, (q31_t)0x7FE9CBC0, + (q31_t)0x03242ABF, (q31_t)0x7FF62182, (q31_t)0x01921D1F, + (q31_t)0x7FFD885A, (q31_t)0x00000000, (q31_t)0x7FFFFFFF, + (q31_t)0xFE6DE2E0, (q31_t)0x7FFD885A, (q31_t)0xFCDBD541, + (q31_t)0x7FF62182, (q31_t)0xFB49E6A2, (q31_t)0x7FE9CBC0, + (q31_t)0xF9B82683, (q31_t)0x7FD8878D, (q31_t)0xF826A461, + (q31_t)0x7FC25596, (q31_t)0xF6956FB6, (q31_t)0x7FA736B4, + (q31_t)0xF50497FA, (q31_t)0x7F872BF3, (q31_t)0xF3742CA1, + (q31_t)0x7F62368F, (q31_t)0xF1E43D1C, (q31_t)0x7F3857F5, + (q31_t)0xF054D8D4, (q31_t)0x7F0991C3, (q31_t)0xEEC60F31, + (q31_t)0x7ED5E5C6, (q31_t)0xED37EF91, (q31_t)0x7E9D55FC, + (q31_t)0xEBAA894E, (q31_t)0x7E5FE493, (q31_t)0xEA1DEBBB, + (q31_t)0x7E1D93E9, (q31_t)0xE8922621, (q31_t)0x7DD6668E, + (q31_t)0xE70747C3, (q31_t)0x7D8A5F3F, (q31_t)0xE57D5FDA, + (q31_t)0x7D3980EC, (q31_t)0xE3F47D95, (q31_t)0x7CE3CEB1, + (q31_t)0xE26CB01A, (q31_t)0x7C894BDD, (q31_t)0xE0E60684, + (q31_t)0x7C29FBEE, (q31_t)0xDF608FE3, (q31_t)0x7BC5E28F, + (q31_t)0xDDDC5B3A, (q31_t)0x7B5D039D, (q31_t)0xDC597781, + (q31_t)0x7AEF6323, (q31_t)0xDAD7F3A2, (q31_t)0x7A7D055B, + (q31_t)0xD957DE7A, (q31_t)0x7A05EEAD, (q31_t)0xD7D946D7, + (q31_t)0x798A23B1, (q31_t)0xD65C3B7B, (q31_t)0x7909A92C, + (q31_t)0xD4E0CB14, (q31_t)0x78848413, (q31_t)0xD3670445, + (q31_t)0x77FAB988, (q31_t)0xD1EEF59E, (q31_t)0x776C4EDB, + (q31_t)0xD078AD9D, (q31_t)0x76D94988, (q31_t)0xCF043AB2, + (q31_t)0x7641AF3C, (q31_t)0xCD91AB38, (q31_t)0x75A585CF, + (q31_t)0xCC210D78, (q31_t)0x7504D345, (q31_t)0xCAB26FA9, + (q31_t)0x745F9DD1, (q31_t)0xC945DFEC, (q31_t)0x73B5EBD0, + (q31_t)0xC7DB6C50, (q31_t)0x7307C3D0, (q31_t)0xC67322CD, + (q31_t)0x72552C84, (q31_t)0xC50D1148, (q31_t)0x719E2CD2, + (q31_t)0xC3A9458F, (q31_t)0x70E2CBC6, (q31_t)0xC247CD5A, + (q31_t)0x70231099, (q31_t)0xC0E8B648, (q31_t)0x6F5F02B1, + (q31_t)0xBF8C0DE2, (q31_t)0x6E96A99C, (q31_t)0xBE31E19B, + (q31_t)0x6DCA0D14, (q31_t)0xBCDA3ECA, (q31_t)0x6CF934FB, + (q31_t)0xBB8532AF, (q31_t)0x6C242960, (q31_t)0xBA32CA70, + (q31_t)0x6B4AF278, (q31_t)0xB8E31319, (q31_t)0x6A6D98A4, + (q31_t)0xB796199B, (q31_t)0x698C246C, (q31_t)0xB64BEACC, + (q31_t)0x68A69E81, (q31_t)0xB5049368, (q31_t)0x67BD0FBC, + (q31_t)0xB3C0200C, (q31_t)0x66CF811F, (q31_t)0xB27E9D3B, + (q31_t)0x65DDFBD3, (q31_t)0xB140175B, (q31_t)0x64E88926, + (q31_t)0xB0049AB2, (q31_t)0x63EF328F, (q31_t)0xAECC336B, + (q31_t)0x62F201AC, (q31_t)0xAD96ED91, (q31_t)0x61F1003E, + (q31_t)0xAC64D510, (q31_t)0x60EC3830, (q31_t)0xAB35F5B5, + (q31_t)0x5FE3B38D, (q31_t)0xAA0A5B2D, (q31_t)0x5ED77C89, + (q31_t)0xA8E21106, (q31_t)0x5DC79D7C, (q31_t)0xA7BD22AB, + (q31_t)0x5CB420DF, (q31_t)0xA69B9B68, (q31_t)0x5B9D1153, + (q31_t)0xA57D8666, (q31_t)0x5A82799A, (q31_t)0xA462EEAC, + (q31_t)0x59646497, (q31_t)0xA34BDF20, (q31_t)0x5842DD54, + (q31_t)0xA2386283, (q31_t)0x571DEEF9, (q31_t)0xA1288376, + (q31_t)0x55F5A4D2, (q31_t)0xA01C4C72, (q31_t)0x54CA0A4A, + (q31_t)0x9F13C7D0, (q31_t)0x539B2AEF, (q31_t)0x9E0EFFC1, + (q31_t)0x5269126E, (q31_t)0x9D0DFE53, (q31_t)0x5133CC94, + (q31_t)0x9C10CD70, (q31_t)0x4FFB654D, (q31_t)0x9B1776D9, + (q31_t)0x4EBFE8A4, (q31_t)0x9A22042C, (q31_t)0x4D8162C4, + (q31_t)0x99307EE0, (q31_t)0x4C3FDFF3, (q31_t)0x9842F043, + (q31_t)0x4AFB6C97, (q31_t)0x9759617E, (q31_t)0x49B41533, + (q31_t)0x9673DB94, (q31_t)0x4869E664, (q31_t)0x9592675B, + (q31_t)0x471CECE6, (q31_t)0x94B50D87, (q31_t)0x45CD358F, + (q31_t)0x93DBD69F, (q31_t)0x447ACD50, (q31_t)0x9306CB04, + (q31_t)0x4325C135, (q31_t)0x9235F2EB, (q31_t)0x41CE1E64, + (q31_t)0x91695663, (q31_t)0x4073F21D, (q31_t)0x90A0FD4E, + (q31_t)0x3F1749B7, (q31_t)0x8FDCEF66, (q31_t)0x3DB832A5, + (q31_t)0x8F1D343A, (q31_t)0x3C56BA70, (q31_t)0x8E61D32D, + (q31_t)0x3AF2EEB7, (q31_t)0x8DAAD37B, (q31_t)0x398CDD32, + (q31_t)0x8CF83C30, (q31_t)0x382493B0, (q31_t)0x8C4A142F, + (q31_t)0x36BA2013, (q31_t)0x8BA0622F, (q31_t)0x354D9056, + (q31_t)0x8AFB2CBA, (q31_t)0x33DEF287, (q31_t)0x8A5A7A30, + (q31_t)0x326E54C7, (q31_t)0x89BE50C3, (q31_t)0x30FBC54D, + (q31_t)0x8926B677, (q31_t)0x2F875262, (q31_t)0x8893B124, + (q31_t)0x2E110A62, (q31_t)0x88054677, (q31_t)0x2C98FBBA, + (q31_t)0x877B7BEC, (q31_t)0x2B1F34EB, (q31_t)0x86F656D3, + (q31_t)0x29A3C484, (q31_t)0x8675DC4E, (q31_t)0x2826B928, + (q31_t)0x85FA1152, (q31_t)0x26A82185, (q31_t)0x8582FAA4, + (q31_t)0x25280C5D, (q31_t)0x85109CDC, (q31_t)0x23A6887E, + (q31_t)0x84A2FC62, (q31_t)0x2223A4C5, (q31_t)0x843A1D70, + (q31_t)0x209F701C, (q31_t)0x83D60411, (q31_t)0x1F19F97B, + (q31_t)0x8376B422, (q31_t)0x1D934FE5, (q31_t)0x831C314E, + (q31_t)0x1C0B826A, (q31_t)0x82C67F13, (q31_t)0x1A82A025, + (q31_t)0x8275A0C0, (q31_t)0x18F8B83C, (q31_t)0x82299971, + (q31_t)0x176DD9DE, (q31_t)0x81E26C16, (q31_t)0x15E21444, + (q31_t)0x81A01B6C, (q31_t)0x145576B1, (q31_t)0x8162AA03, + (q31_t)0x12C8106E, (q31_t)0x812A1A39, (q31_t)0x1139F0CE, + (q31_t)0x80F66E3C, (q31_t)0x0FAB272B, (q31_t)0x80C7A80A, + (q31_t)0x0E1BC2E3, (q31_t)0x809DC970, (q31_t)0x0C8BD35E, + (q31_t)0x8078D40D, (q31_t)0x0AFB6805, (q31_t)0x8058C94C, + (q31_t)0x096A9049, (q31_t)0x803DAA69, (q31_t)0x07D95B9E, + (q31_t)0x80277872, (q31_t)0x0647D97C, (q31_t)0x80163440, + (q31_t)0x04B6195D, (q31_t)0x8009DE7D, (q31_t)0x03242ABF, + (q31_t)0x800277A5, (q31_t)0x01921D1F, (q31_t)0x80000000, + (q31_t)0x00000000, (q31_t)0x800277A5, (q31_t)0xFE6DE2E0, + (q31_t)0x8009DE7D, (q31_t)0xFCDBD541, (q31_t)0x80163440, + (q31_t)0xFB49E6A2, (q31_t)0x80277872, (q31_t)0xF9B82683, + (q31_t)0x803DAA69, (q31_t)0xF826A461, (q31_t)0x8058C94C, + (q31_t)0xF6956FB6, (q31_t)0x8078D40D, (q31_t)0xF50497FA, + (q31_t)0x809DC970, (q31_t)0xF3742CA1, (q31_t)0x80C7A80A, + (q31_t)0xF1E43D1C, (q31_t)0x80F66E3C, (q31_t)0xF054D8D4, + (q31_t)0x812A1A39, (q31_t)0xEEC60F31, (q31_t)0x8162AA03, + (q31_t)0xED37EF91, (q31_t)0x81A01B6C, (q31_t)0xEBAA894E, + (q31_t)0x81E26C16, (q31_t)0xEA1DEBBB, (q31_t)0x82299971, + (q31_t)0xE8922621, (q31_t)0x8275A0C0, (q31_t)0xE70747C3, + (q31_t)0x82C67F13, (q31_t)0xE57D5FDA, (q31_t)0x831C314E, + (q31_t)0xE3F47D95, (q31_t)0x8376B422, (q31_t)0xE26CB01A, + (q31_t)0x83D60411, (q31_t)0xE0E60684, (q31_t)0x843A1D70, + (q31_t)0xDF608FE3, (q31_t)0x84A2FC62, (q31_t)0xDDDC5B3A, + (q31_t)0x85109CDC, (q31_t)0xDC597781, (q31_t)0x8582FAA4, + (q31_t)0xDAD7F3A2, (q31_t)0x85FA1152, (q31_t)0xD957DE7A, + (q31_t)0x8675DC4E, (q31_t)0xD7D946D7, (q31_t)0x86F656D3, + (q31_t)0xD65C3B7B, (q31_t)0x877B7BEC, (q31_t)0xD4E0CB14, + (q31_t)0x88054677, (q31_t)0xD3670445, (q31_t)0x8893B124, + (q31_t)0xD1EEF59E, (q31_t)0x8926B677, (q31_t)0xD078AD9D, + (q31_t)0x89BE50C3, (q31_t)0xCF043AB2, (q31_t)0x8A5A7A30, + (q31_t)0xCD91AB38, (q31_t)0x8AFB2CBA, (q31_t)0xCC210D78, + (q31_t)0x8BA0622F, (q31_t)0xCAB26FA9, (q31_t)0x8C4A142F, + (q31_t)0xC945DFEC, (q31_t)0x8CF83C30, (q31_t)0xC7DB6C50, + (q31_t)0x8DAAD37B, (q31_t)0xC67322CD, (q31_t)0x8E61D32D, + (q31_t)0xC50D1148, (q31_t)0x8F1D343A, (q31_t)0xC3A9458F, + (q31_t)0x8FDCEF66, (q31_t)0xC247CD5A, (q31_t)0x90A0FD4E, + (q31_t)0xC0E8B648, (q31_t)0x91695663, (q31_t)0xBF8C0DE2, + (q31_t)0x9235F2EB, (q31_t)0xBE31E19B, (q31_t)0x9306CB04, + (q31_t)0xBCDA3ECA, (q31_t)0x93DBD69F, (q31_t)0xBB8532AF, + (q31_t)0x94B50D87, (q31_t)0xBA32CA70, (q31_t)0x9592675B, + (q31_t)0xB8E31319, (q31_t)0x9673DB94, (q31_t)0xB796199B, + (q31_t)0x9759617E, (q31_t)0xB64BEACC, (q31_t)0x9842F043, + (q31_t)0xB5049368, (q31_t)0x99307EE0, (q31_t)0xB3C0200C, + (q31_t)0x9A22042C, (q31_t)0xB27E9D3B, (q31_t)0x9B1776D9, + (q31_t)0xB140175B, (q31_t)0x9C10CD70, (q31_t)0xB0049AB2, + (q31_t)0x9D0DFE53, (q31_t)0xAECC336B, (q31_t)0x9E0EFFC1, + (q31_t)0xAD96ED91, (q31_t)0x9F13C7D0, (q31_t)0xAC64D510, + (q31_t)0xA01C4C72, (q31_t)0xAB35F5B5, (q31_t)0xA1288376, + (q31_t)0xAA0A5B2D, (q31_t)0xA2386283, (q31_t)0xA8E21106, + (q31_t)0xA34BDF20, (q31_t)0xA7BD22AB, (q31_t)0xA462EEAC, + (q31_t)0xA69B9B68, (q31_t)0xA57D8666, (q31_t)0xA57D8666, + (q31_t)0xA69B9B68, (q31_t)0xA462EEAC, (q31_t)0xA7BD22AB, + (q31_t)0xA34BDF20, (q31_t)0xA8E21106, (q31_t)0xA2386283, + (q31_t)0xAA0A5B2D, (q31_t)0xA1288376, (q31_t)0xAB35F5B5, + (q31_t)0xA01C4C72, (q31_t)0xAC64D510, (q31_t)0x9F13C7D0, + (q31_t)0xAD96ED91, (q31_t)0x9E0EFFC1, (q31_t)0xAECC336B, + (q31_t)0x9D0DFE53, (q31_t)0xB0049AB2, (q31_t)0x9C10CD70, + (q31_t)0xB140175B, (q31_t)0x9B1776D9, (q31_t)0xB27E9D3B, + (q31_t)0x9A22042C, (q31_t)0xB3C0200C, (q31_t)0x99307EE0, + (q31_t)0xB5049368, (q31_t)0x9842F043, (q31_t)0xB64BEACC, + (q31_t)0x9759617E, (q31_t)0xB796199B, (q31_t)0x9673DB94, + (q31_t)0xB8E31319, (q31_t)0x9592675B, (q31_t)0xBA32CA70, + (q31_t)0x94B50D87, (q31_t)0xBB8532AF, (q31_t)0x93DBD69F, + (q31_t)0xBCDA3ECA, (q31_t)0x9306CB04, (q31_t)0xBE31E19B, + (q31_t)0x9235F2EB, (q31_t)0xBF8C0DE2, (q31_t)0x91695663, + (q31_t)0xC0E8B648, (q31_t)0x90A0FD4E, (q31_t)0xC247CD5A, + (q31_t)0x8FDCEF66, (q31_t)0xC3A9458F, (q31_t)0x8F1D343A, + (q31_t)0xC50D1148, (q31_t)0x8E61D32D, (q31_t)0xC67322CD, + (q31_t)0x8DAAD37B, (q31_t)0xC7DB6C50, (q31_t)0x8CF83C30, + (q31_t)0xC945DFEC, (q31_t)0x8C4A142F, (q31_t)0xCAB26FA9, + (q31_t)0x8BA0622F, (q31_t)0xCC210D78, (q31_t)0x8AFB2CBA, + (q31_t)0xCD91AB38, (q31_t)0x8A5A7A30, (q31_t)0xCF043AB2, + (q31_t)0x89BE50C3, (q31_t)0xD078AD9D, (q31_t)0x8926B677, + (q31_t)0xD1EEF59E, (q31_t)0x8893B124, (q31_t)0xD3670445, + (q31_t)0x88054677, (q31_t)0xD4E0CB14, (q31_t)0x877B7BEC, + (q31_t)0xD65C3B7B, (q31_t)0x86F656D3, (q31_t)0xD7D946D7, + (q31_t)0x8675DC4E, (q31_t)0xD957DE7A, (q31_t)0x85FA1152, + (q31_t)0xDAD7F3A2, (q31_t)0x8582FAA4, (q31_t)0xDC597781, + (q31_t)0x85109CDC, (q31_t)0xDDDC5B3A, (q31_t)0x84A2FC62, + (q31_t)0xDF608FE3, (q31_t)0x843A1D70, (q31_t)0xE0E60684, + (q31_t)0x83D60411, (q31_t)0xE26CB01A, (q31_t)0x8376B422, + (q31_t)0xE3F47D95, (q31_t)0x831C314E, (q31_t)0xE57D5FDA, + (q31_t)0x82C67F13, (q31_t)0xE70747C3, (q31_t)0x8275A0C0, + (q31_t)0xE8922621, (q31_t)0x82299971, (q31_t)0xEA1DEBBB, + (q31_t)0x81E26C16, (q31_t)0xEBAA894E, (q31_t)0x81A01B6C, + (q31_t)0xED37EF91, (q31_t)0x8162AA03, (q31_t)0xEEC60F31, + (q31_t)0x812A1A39, (q31_t)0xF054D8D4, (q31_t)0x80F66E3C, + (q31_t)0xF1E43D1C, (q31_t)0x80C7A80A, (q31_t)0xF3742CA1, + (q31_t)0x809DC970, (q31_t)0xF50497FA, (q31_t)0x8078D40D, + (q31_t)0xF6956FB6, (q31_t)0x8058C94C, (q31_t)0xF826A461, + (q31_t)0x803DAA69, (q31_t)0xF9B82683, (q31_t)0x80277872, + (q31_t)0xFB49E6A2, (q31_t)0x80163440, (q31_t)0xFCDBD541, + (q31_t)0x8009DE7D, (q31_t)0xFE6DE2E0, (q31_t)0x800277A5 +}; + +/** +* \par +* Example code for Q31 Twiddle factors Generation:: +* \par +*
for(i = 0; i< 3N/4; i++)
+* {
+*    twiddleCoefQ31[2*i]= cos(i * 2*PI/(float)N);
+*    twiddleCoefQ31[2*i+1]= sin(i * 2*PI/(float)N);
+* } 
+* \par +* where N = 1024 and PI = 3.14159265358979 +* \par +* Cos and Sin values are interleaved fashion +* \par +* Convert Floating point to Q31(Fixed point 1.31): +* round(twiddleCoefQ31(i) * pow(2, 31)) +* +*/ +const q31_t twiddleCoef_1024_q31[1536] = { + (q31_t)0x7FFFFFFF, (q31_t)0x00000000, (q31_t)0x7FFF6216, + (q31_t)0x00C90F88, (q31_t)0x7FFD885A, (q31_t)0x01921D1F, + (q31_t)0x7FFA72D1, (q31_t)0x025B26D7, (q31_t)0x7FF62182, + (q31_t)0x03242ABF, (q31_t)0x7FF09477, (q31_t)0x03ED26E6, + (q31_t)0x7FE9CBC0, (q31_t)0x04B6195D, (q31_t)0x7FE1C76B, + (q31_t)0x057F0034, (q31_t)0x7FD8878D, (q31_t)0x0647D97C, + (q31_t)0x7FCE0C3E, (q31_t)0x0710A344, (q31_t)0x7FC25596, + (q31_t)0x07D95B9E, (q31_t)0x7FB563B2, (q31_t)0x08A2009A, + (q31_t)0x7FA736B4, (q31_t)0x096A9049, (q31_t)0x7F97CEBC, + (q31_t)0x0A3308BC, (q31_t)0x7F872BF3, (q31_t)0x0AFB6805, + (q31_t)0x7F754E7F, (q31_t)0x0BC3AC35, (q31_t)0x7F62368F, + (q31_t)0x0C8BD35E, (q31_t)0x7F4DE450, (q31_t)0x0D53DB92, + (q31_t)0x7F3857F5, (q31_t)0x0E1BC2E3, (q31_t)0x7F2191B4, + (q31_t)0x0EE38765, (q31_t)0x7F0991C3, (q31_t)0x0FAB272B, + (q31_t)0x7EF0585F, (q31_t)0x1072A047, (q31_t)0x7ED5E5C6, + (q31_t)0x1139F0CE, (q31_t)0x7EBA3A39, (q31_t)0x120116D4, + (q31_t)0x7E9D55FC, (q31_t)0x12C8106E, (q31_t)0x7E7F3956, + (q31_t)0x138EDBB0, (q31_t)0x7E5FE493, (q31_t)0x145576B1, + (q31_t)0x7E3F57FE, (q31_t)0x151BDF85, (q31_t)0x7E1D93E9, + (q31_t)0x15E21444, (q31_t)0x7DFA98A7, (q31_t)0x16A81305, + (q31_t)0x7DD6668E, (q31_t)0x176DD9DE, (q31_t)0x7DB0FDF7, + (q31_t)0x183366E8, (q31_t)0x7D8A5F3F, (q31_t)0x18F8B83C, + (q31_t)0x7D628AC5, (q31_t)0x19BDCBF2, (q31_t)0x7D3980EC, + (q31_t)0x1A82A025, (q31_t)0x7D0F4218, (q31_t)0x1B4732EF, + (q31_t)0x7CE3CEB1, (q31_t)0x1C0B826A, (q31_t)0x7CB72724, + (q31_t)0x1CCF8CB3, (q31_t)0x7C894BDD, (q31_t)0x1D934FE5, + (q31_t)0x7C5A3D4F, (q31_t)0x1E56CA1E, (q31_t)0x7C29FBEE, + (q31_t)0x1F19F97B, (q31_t)0x7BF88830, (q31_t)0x1FDCDC1A, + (q31_t)0x7BC5E28F, (q31_t)0x209F701C, (q31_t)0x7B920B89, + (q31_t)0x2161B39F, (q31_t)0x7B5D039D, (q31_t)0x2223A4C5, + (q31_t)0x7B26CB4F, (q31_t)0x22E541AE, (q31_t)0x7AEF6323, + (q31_t)0x23A6887E, (q31_t)0x7AB6CBA3, (q31_t)0x24677757, + (q31_t)0x7A7D055B, (q31_t)0x25280C5D, (q31_t)0x7A4210D8, + (q31_t)0x25E845B5, (q31_t)0x7A05EEAD, (q31_t)0x26A82185, + (q31_t)0x79C89F6D, (q31_t)0x27679DF4, (q31_t)0x798A23B1, + (q31_t)0x2826B928, (q31_t)0x794A7C11, (q31_t)0x28E5714A, + (q31_t)0x7909A92C, (q31_t)0x29A3C484, (q31_t)0x78C7ABA1, + (q31_t)0x2A61B101, (q31_t)0x78848413, (q31_t)0x2B1F34EB, + (q31_t)0x78403328, (q31_t)0x2BDC4E6F, (q31_t)0x77FAB988, + (q31_t)0x2C98FBBA, (q31_t)0x77B417DF, (q31_t)0x2D553AFB, + (q31_t)0x776C4EDB, (q31_t)0x2E110A62, (q31_t)0x77235F2D, + (q31_t)0x2ECC681E, (q31_t)0x76D94988, (q31_t)0x2F875262, + (q31_t)0x768E0EA5, (q31_t)0x3041C760, (q31_t)0x7641AF3C, + (q31_t)0x30FBC54D, (q31_t)0x75F42C0A, (q31_t)0x31B54A5D, + (q31_t)0x75A585CF, (q31_t)0x326E54C7, (q31_t)0x7555BD4B, + (q31_t)0x3326E2C2, (q31_t)0x7504D345, (q31_t)0x33DEF287, + (q31_t)0x74B2C883, (q31_t)0x3496824F, (q31_t)0x745F9DD1, + (q31_t)0x354D9056, (q31_t)0x740B53FA, (q31_t)0x36041AD9, + (q31_t)0x73B5EBD0, (q31_t)0x36BA2013, (q31_t)0x735F6626, + (q31_t)0x376F9E46, (q31_t)0x7307C3D0, (q31_t)0x382493B0, + (q31_t)0x72AF05A6, (q31_t)0x38D8FE93, (q31_t)0x72552C84, + (q31_t)0x398CDD32, (q31_t)0x71FA3948, (q31_t)0x3A402DD1, + (q31_t)0x719E2CD2, (q31_t)0x3AF2EEB7, (q31_t)0x71410804, + (q31_t)0x3BA51E29, (q31_t)0x70E2CBC6, (q31_t)0x3C56BA70, + (q31_t)0x708378FE, (q31_t)0x3D07C1D5, (q31_t)0x70231099, + (q31_t)0x3DB832A5, (q31_t)0x6FC19385, (q31_t)0x3E680B2C, + (q31_t)0x6F5F02B1, (q31_t)0x3F1749B7, (q31_t)0x6EFB5F12, + (q31_t)0x3FC5EC97, (q31_t)0x6E96A99C, (q31_t)0x4073F21D, + (q31_t)0x6E30E349, (q31_t)0x4121589A, (q31_t)0x6DCA0D14, + (q31_t)0x41CE1E64, (q31_t)0x6D6227FA, (q31_t)0x427A41D0, + (q31_t)0x6CF934FB, (q31_t)0x4325C135, (q31_t)0x6C8F351C, + (q31_t)0x43D09AEC, (q31_t)0x6C242960, (q31_t)0x447ACD50, + (q31_t)0x6BB812D0, (q31_t)0x452456BC, (q31_t)0x6B4AF278, + (q31_t)0x45CD358F, (q31_t)0x6ADCC964, (q31_t)0x46756827, + (q31_t)0x6A6D98A4, (q31_t)0x471CECE6, (q31_t)0x69FD614A, + (q31_t)0x47C3C22E, (q31_t)0x698C246C, (q31_t)0x4869E664, + (q31_t)0x6919E320, (q31_t)0x490F57EE, (q31_t)0x68A69E81, + (q31_t)0x49B41533, (q31_t)0x683257AA, (q31_t)0x4A581C9D, + (q31_t)0x67BD0FBC, (q31_t)0x4AFB6C97, (q31_t)0x6746C7D7, + (q31_t)0x4B9E038F, (q31_t)0x66CF811F, (q31_t)0x4C3FDFF3, + (q31_t)0x66573CBB, (q31_t)0x4CE10034, (q31_t)0x65DDFBD3, + (q31_t)0x4D8162C4, (q31_t)0x6563BF92, (q31_t)0x4E210617, + (q31_t)0x64E88926, (q31_t)0x4EBFE8A4, (q31_t)0x646C59BF, + (q31_t)0x4F5E08E3, (q31_t)0x63EF328F, (q31_t)0x4FFB654D, + (q31_t)0x637114CC, (q31_t)0x5097FC5E, (q31_t)0x62F201AC, + (q31_t)0x5133CC94, (q31_t)0x6271FA69, (q31_t)0x51CED46E, + (q31_t)0x61F1003E, (q31_t)0x5269126E, (q31_t)0x616F146B, + (q31_t)0x53028517, (q31_t)0x60EC3830, (q31_t)0x539B2AEF, + (q31_t)0x60686CCE, (q31_t)0x5433027D, (q31_t)0x5FE3B38D, + (q31_t)0x54CA0A4A, (q31_t)0x5F5E0DB3, (q31_t)0x556040E2, + (q31_t)0x5ED77C89, (q31_t)0x55F5A4D2, (q31_t)0x5E50015D, + (q31_t)0x568A34A9, (q31_t)0x5DC79D7C, (q31_t)0x571DEEF9, + (q31_t)0x5D3E5236, (q31_t)0x57B0D256, (q31_t)0x5CB420DF, + (q31_t)0x5842DD54, (q31_t)0x5C290ACC, (q31_t)0x58D40E8C, + (q31_t)0x5B9D1153, (q31_t)0x59646497, (q31_t)0x5B1035CF, + (q31_t)0x59F3DE12, (q31_t)0x5A82799A, (q31_t)0x5A82799A, + (q31_t)0x59F3DE12, (q31_t)0x5B1035CF, (q31_t)0x59646497, + (q31_t)0x5B9D1153, (q31_t)0x58D40E8C, (q31_t)0x5C290ACC, + (q31_t)0x5842DD54, (q31_t)0x5CB420DF, (q31_t)0x57B0D256, + (q31_t)0x5D3E5236, (q31_t)0x571DEEF9, (q31_t)0x5DC79D7C, + (q31_t)0x568A34A9, (q31_t)0x5E50015D, (q31_t)0x55F5A4D2, + (q31_t)0x5ED77C89, (q31_t)0x556040E2, (q31_t)0x5F5E0DB3, + (q31_t)0x54CA0A4A, (q31_t)0x5FE3B38D, (q31_t)0x5433027D, + (q31_t)0x60686CCE, (q31_t)0x539B2AEF, (q31_t)0x60EC3830, + (q31_t)0x53028517, (q31_t)0x616F146B, (q31_t)0x5269126E, + (q31_t)0x61F1003E, (q31_t)0x51CED46E, (q31_t)0x6271FA69, + (q31_t)0x5133CC94, (q31_t)0x62F201AC, (q31_t)0x5097FC5E, + (q31_t)0x637114CC, (q31_t)0x4FFB654D, (q31_t)0x63EF328F, + (q31_t)0x4F5E08E3, (q31_t)0x646C59BF, (q31_t)0x4EBFE8A4, + (q31_t)0x64E88926, (q31_t)0x4E210617, (q31_t)0x6563BF92, + (q31_t)0x4D8162C4, (q31_t)0x65DDFBD3, (q31_t)0x4CE10034, + (q31_t)0x66573CBB, (q31_t)0x4C3FDFF3, (q31_t)0x66CF811F, + (q31_t)0x4B9E038F, (q31_t)0x6746C7D7, (q31_t)0x4AFB6C97, + (q31_t)0x67BD0FBC, (q31_t)0x4A581C9D, (q31_t)0x683257AA, + (q31_t)0x49B41533, (q31_t)0x68A69E81, (q31_t)0x490F57EE, + (q31_t)0x6919E320, (q31_t)0x4869E664, (q31_t)0x698C246C, + (q31_t)0x47C3C22E, (q31_t)0x69FD614A, (q31_t)0x471CECE6, + (q31_t)0x6A6D98A4, (q31_t)0x46756827, (q31_t)0x6ADCC964, + (q31_t)0x45CD358F, (q31_t)0x6B4AF278, (q31_t)0x452456BC, + (q31_t)0x6BB812D0, (q31_t)0x447ACD50, (q31_t)0x6C242960, + (q31_t)0x43D09AEC, (q31_t)0x6C8F351C, (q31_t)0x4325C135, + (q31_t)0x6CF934FB, (q31_t)0x427A41D0, (q31_t)0x6D6227FA, + (q31_t)0x41CE1E64, (q31_t)0x6DCA0D14, (q31_t)0x4121589A, + (q31_t)0x6E30E349, (q31_t)0x4073F21D, (q31_t)0x6E96A99C, + (q31_t)0x3FC5EC97, (q31_t)0x6EFB5F12, (q31_t)0x3F1749B7, + (q31_t)0x6F5F02B1, (q31_t)0x3E680B2C, (q31_t)0x6FC19385, + (q31_t)0x3DB832A5, (q31_t)0x70231099, (q31_t)0x3D07C1D5, + (q31_t)0x708378FE, (q31_t)0x3C56BA70, (q31_t)0x70E2CBC6, + (q31_t)0x3BA51E29, (q31_t)0x71410804, (q31_t)0x3AF2EEB7, + (q31_t)0x719E2CD2, (q31_t)0x3A402DD1, (q31_t)0x71FA3948, + (q31_t)0x398CDD32, (q31_t)0x72552C84, (q31_t)0x38D8FE93, + (q31_t)0x72AF05A6, (q31_t)0x382493B0, (q31_t)0x7307C3D0, + (q31_t)0x376F9E46, (q31_t)0x735F6626, (q31_t)0x36BA2013, + (q31_t)0x73B5EBD0, (q31_t)0x36041AD9, (q31_t)0x740B53FA, + (q31_t)0x354D9056, (q31_t)0x745F9DD1, (q31_t)0x3496824F, + (q31_t)0x74B2C883, (q31_t)0x33DEF287, (q31_t)0x7504D345, + (q31_t)0x3326E2C2, (q31_t)0x7555BD4B, (q31_t)0x326E54C7, + (q31_t)0x75A585CF, (q31_t)0x31B54A5D, (q31_t)0x75F42C0A, + (q31_t)0x30FBC54D, (q31_t)0x7641AF3C, (q31_t)0x3041C760, + (q31_t)0x768E0EA5, (q31_t)0x2F875262, (q31_t)0x76D94988, + (q31_t)0x2ECC681E, (q31_t)0x77235F2D, (q31_t)0x2E110A62, + (q31_t)0x776C4EDB, (q31_t)0x2D553AFB, (q31_t)0x77B417DF, + (q31_t)0x2C98FBBA, (q31_t)0x77FAB988, (q31_t)0x2BDC4E6F, + (q31_t)0x78403328, (q31_t)0x2B1F34EB, (q31_t)0x78848413, + (q31_t)0x2A61B101, (q31_t)0x78C7ABA1, (q31_t)0x29A3C484, + (q31_t)0x7909A92C, (q31_t)0x28E5714A, (q31_t)0x794A7C11, + (q31_t)0x2826B928, (q31_t)0x798A23B1, (q31_t)0x27679DF4, + (q31_t)0x79C89F6D, (q31_t)0x26A82185, (q31_t)0x7A05EEAD, + (q31_t)0x25E845B5, (q31_t)0x7A4210D8, (q31_t)0x25280C5D, + (q31_t)0x7A7D055B, (q31_t)0x24677757, (q31_t)0x7AB6CBA3, + (q31_t)0x23A6887E, (q31_t)0x7AEF6323, (q31_t)0x22E541AE, + (q31_t)0x7B26CB4F, (q31_t)0x2223A4C5, (q31_t)0x7B5D039D, + (q31_t)0x2161B39F, (q31_t)0x7B920B89, (q31_t)0x209F701C, + (q31_t)0x7BC5E28F, (q31_t)0x1FDCDC1A, (q31_t)0x7BF88830, + (q31_t)0x1F19F97B, (q31_t)0x7C29FBEE, (q31_t)0x1E56CA1E, + (q31_t)0x7C5A3D4F, (q31_t)0x1D934FE5, (q31_t)0x7C894BDD, + (q31_t)0x1CCF8CB3, (q31_t)0x7CB72724, (q31_t)0x1C0B826A, + (q31_t)0x7CE3CEB1, (q31_t)0x1B4732EF, (q31_t)0x7D0F4218, + (q31_t)0x1A82A025, (q31_t)0x7D3980EC, (q31_t)0x19BDCBF2, + (q31_t)0x7D628AC5, (q31_t)0x18F8B83C, (q31_t)0x7D8A5F3F, + (q31_t)0x183366E8, (q31_t)0x7DB0FDF7, (q31_t)0x176DD9DE, + (q31_t)0x7DD6668E, (q31_t)0x16A81305, (q31_t)0x7DFA98A7, + (q31_t)0x15E21444, (q31_t)0x7E1D93E9, (q31_t)0x151BDF85, + (q31_t)0x7E3F57FE, (q31_t)0x145576B1, (q31_t)0x7E5FE493, + (q31_t)0x138EDBB0, (q31_t)0x7E7F3956, (q31_t)0x12C8106E, + (q31_t)0x7E9D55FC, (q31_t)0x120116D4, (q31_t)0x7EBA3A39, + (q31_t)0x1139F0CE, (q31_t)0x7ED5E5C6, (q31_t)0x1072A047, + (q31_t)0x7EF0585F, (q31_t)0x0FAB272B, (q31_t)0x7F0991C3, + (q31_t)0x0EE38765, (q31_t)0x7F2191B4, (q31_t)0x0E1BC2E3, + (q31_t)0x7F3857F5, (q31_t)0x0D53DB92, (q31_t)0x7F4DE450, + (q31_t)0x0C8BD35E, (q31_t)0x7F62368F, (q31_t)0x0BC3AC35, + (q31_t)0x7F754E7F, (q31_t)0x0AFB6805, (q31_t)0x7F872BF3, + (q31_t)0x0A3308BC, (q31_t)0x7F97CEBC, (q31_t)0x096A9049, + (q31_t)0x7FA736B4, (q31_t)0x08A2009A, (q31_t)0x7FB563B2, + (q31_t)0x07D95B9E, (q31_t)0x7FC25596, (q31_t)0x0710A344, + (q31_t)0x7FCE0C3E, (q31_t)0x0647D97C, (q31_t)0x7FD8878D, + (q31_t)0x057F0034, (q31_t)0x7FE1C76B, (q31_t)0x04B6195D, + (q31_t)0x7FE9CBC0, (q31_t)0x03ED26E6, (q31_t)0x7FF09477, + (q31_t)0x03242ABF, (q31_t)0x7FF62182, (q31_t)0x025B26D7, + (q31_t)0x7FFA72D1, (q31_t)0x01921D1F, (q31_t)0x7FFD885A, + (q31_t)0x00C90F88, (q31_t)0x7FFF6216, (q31_t)0x00000000, + (q31_t)0x7FFFFFFF, (q31_t)0xFF36F078, (q31_t)0x7FFF6216, + (q31_t)0xFE6DE2E0, (q31_t)0x7FFD885A, (q31_t)0xFDA4D928, + (q31_t)0x7FFA72D1, (q31_t)0xFCDBD541, (q31_t)0x7FF62182, + (q31_t)0xFC12D919, (q31_t)0x7FF09477, (q31_t)0xFB49E6A2, + (q31_t)0x7FE9CBC0, (q31_t)0xFA80FFCB, (q31_t)0x7FE1C76B, + (q31_t)0xF9B82683, (q31_t)0x7FD8878D, (q31_t)0xF8EF5CBB, + (q31_t)0x7FCE0C3E, (q31_t)0xF826A461, (q31_t)0x7FC25596, + (q31_t)0xF75DFF65, (q31_t)0x7FB563B2, (q31_t)0xF6956FB6, + (q31_t)0x7FA736B4, (q31_t)0xF5CCF743, (q31_t)0x7F97CEBC, + (q31_t)0xF50497FA, (q31_t)0x7F872BF3, (q31_t)0xF43C53CA, + (q31_t)0x7F754E7F, (q31_t)0xF3742CA1, (q31_t)0x7F62368F, + (q31_t)0xF2AC246D, (q31_t)0x7F4DE450, (q31_t)0xF1E43D1C, + (q31_t)0x7F3857F5, (q31_t)0xF11C789A, (q31_t)0x7F2191B4, + (q31_t)0xF054D8D4, (q31_t)0x7F0991C3, (q31_t)0xEF8D5FB8, + (q31_t)0x7EF0585F, (q31_t)0xEEC60F31, (q31_t)0x7ED5E5C6, + (q31_t)0xEDFEE92B, (q31_t)0x7EBA3A39, (q31_t)0xED37EF91, + (q31_t)0x7E9D55FC, (q31_t)0xEC71244F, (q31_t)0x7E7F3956, + (q31_t)0xEBAA894E, (q31_t)0x7E5FE493, (q31_t)0xEAE4207A, + (q31_t)0x7E3F57FE, (q31_t)0xEA1DEBBB, (q31_t)0x7E1D93E9, + (q31_t)0xE957ECFB, (q31_t)0x7DFA98A7, (q31_t)0xE8922621, + (q31_t)0x7DD6668E, (q31_t)0xE7CC9917, (q31_t)0x7DB0FDF7, + (q31_t)0xE70747C3, (q31_t)0x7D8A5F3F, (q31_t)0xE642340D, + (q31_t)0x7D628AC5, (q31_t)0xE57D5FDA, (q31_t)0x7D3980EC, + (q31_t)0xE4B8CD10, (q31_t)0x7D0F4218, (q31_t)0xE3F47D95, + (q31_t)0x7CE3CEB1, (q31_t)0xE330734C, (q31_t)0x7CB72724, + (q31_t)0xE26CB01A, (q31_t)0x7C894BDD, (q31_t)0xE1A935E1, + (q31_t)0x7C5A3D4F, (q31_t)0xE0E60684, (q31_t)0x7C29FBEE, + (q31_t)0xE02323E5, (q31_t)0x7BF88830, (q31_t)0xDF608FE3, + (q31_t)0x7BC5E28F, (q31_t)0xDE9E4C60, (q31_t)0x7B920B89, + (q31_t)0xDDDC5B3A, (q31_t)0x7B5D039D, (q31_t)0xDD1ABE51, + (q31_t)0x7B26CB4F, (q31_t)0xDC597781, (q31_t)0x7AEF6323, + (q31_t)0xDB9888A8, (q31_t)0x7AB6CBA3, (q31_t)0xDAD7F3A2, + (q31_t)0x7A7D055B, (q31_t)0xDA17BA4A, (q31_t)0x7A4210D8, + (q31_t)0xD957DE7A, (q31_t)0x7A05EEAD, (q31_t)0xD898620C, + (q31_t)0x79C89F6D, (q31_t)0xD7D946D7, (q31_t)0x798A23B1, + (q31_t)0xD71A8EB5, (q31_t)0x794A7C11, (q31_t)0xD65C3B7B, + (q31_t)0x7909A92C, (q31_t)0xD59E4EFE, (q31_t)0x78C7ABA1, + (q31_t)0xD4E0CB14, (q31_t)0x78848413, (q31_t)0xD423B190, + (q31_t)0x78403328, (q31_t)0xD3670445, (q31_t)0x77FAB988, + (q31_t)0xD2AAC504, (q31_t)0x77B417DF, (q31_t)0xD1EEF59E, + (q31_t)0x776C4EDB, (q31_t)0xD13397E1, (q31_t)0x77235F2D, + (q31_t)0xD078AD9D, (q31_t)0x76D94988, (q31_t)0xCFBE389F, + (q31_t)0x768E0EA5, (q31_t)0xCF043AB2, (q31_t)0x7641AF3C, + (q31_t)0xCE4AB5A2, (q31_t)0x75F42C0A, (q31_t)0xCD91AB38, + (q31_t)0x75A585CF, (q31_t)0xCCD91D3D, (q31_t)0x7555BD4B, + (q31_t)0xCC210D78, (q31_t)0x7504D345, (q31_t)0xCB697DB0, + (q31_t)0x74B2C883, (q31_t)0xCAB26FA9, (q31_t)0x745F9DD1, + (q31_t)0xC9FBE527, (q31_t)0x740B53FA, (q31_t)0xC945DFEC, + (q31_t)0x73B5EBD0, (q31_t)0xC89061BA, (q31_t)0x735F6626, + (q31_t)0xC7DB6C50, (q31_t)0x7307C3D0, (q31_t)0xC727016C, + (q31_t)0x72AF05A6, (q31_t)0xC67322CD, (q31_t)0x72552C84, + (q31_t)0xC5BFD22E, (q31_t)0x71FA3948, (q31_t)0xC50D1148, + (q31_t)0x719E2CD2, (q31_t)0xC45AE1D7, (q31_t)0x71410804, + (q31_t)0xC3A9458F, (q31_t)0x70E2CBC6, (q31_t)0xC2F83E2A, + (q31_t)0x708378FE, (q31_t)0xC247CD5A, (q31_t)0x70231099, + (q31_t)0xC197F4D3, (q31_t)0x6FC19385, (q31_t)0xC0E8B648, + (q31_t)0x6F5F02B1, (q31_t)0xC03A1368, (q31_t)0x6EFB5F12, + (q31_t)0xBF8C0DE2, (q31_t)0x6E96A99C, (q31_t)0xBEDEA765, + (q31_t)0x6E30E349, (q31_t)0xBE31E19B, (q31_t)0x6DCA0D14, + (q31_t)0xBD85BE2F, (q31_t)0x6D6227FA, (q31_t)0xBCDA3ECA, + (q31_t)0x6CF934FB, (q31_t)0xBC2F6513, (q31_t)0x6C8F351C, + (q31_t)0xBB8532AF, (q31_t)0x6C242960, (q31_t)0xBADBA943, + (q31_t)0x6BB812D0, (q31_t)0xBA32CA70, (q31_t)0x6B4AF278, + (q31_t)0xB98A97D8, (q31_t)0x6ADCC964, (q31_t)0xB8E31319, + (q31_t)0x6A6D98A4, (q31_t)0xB83C3DD1, (q31_t)0x69FD614A, + (q31_t)0xB796199B, (q31_t)0x698C246C, (q31_t)0xB6F0A811, + (q31_t)0x6919E320, (q31_t)0xB64BEACC, (q31_t)0x68A69E81, + (q31_t)0xB5A7E362, (q31_t)0x683257AA, (q31_t)0xB5049368, + (q31_t)0x67BD0FBC, (q31_t)0xB461FC70, (q31_t)0x6746C7D7, + (q31_t)0xB3C0200C, (q31_t)0x66CF811F, (q31_t)0xB31EFFCB, + (q31_t)0x66573CBB, (q31_t)0xB27E9D3B, (q31_t)0x65DDFBD3, + (q31_t)0xB1DEF9E8, (q31_t)0x6563BF92, (q31_t)0xB140175B, + (q31_t)0x64E88926, (q31_t)0xB0A1F71C, (q31_t)0x646C59BF, + (q31_t)0xB0049AB2, (q31_t)0x63EF328F, (q31_t)0xAF6803A1, + (q31_t)0x637114CC, (q31_t)0xAECC336B, (q31_t)0x62F201AC, + (q31_t)0xAE312B91, (q31_t)0x6271FA69, (q31_t)0xAD96ED91, + (q31_t)0x61F1003E, (q31_t)0xACFD7AE8, (q31_t)0x616F146B, + (q31_t)0xAC64D510, (q31_t)0x60EC3830, (q31_t)0xABCCFD82, + (q31_t)0x60686CCE, (q31_t)0xAB35F5B5, (q31_t)0x5FE3B38D, + (q31_t)0xAA9FBF1D, (q31_t)0x5F5E0DB3, (q31_t)0xAA0A5B2D, + (q31_t)0x5ED77C89, (q31_t)0xA975CB56, (q31_t)0x5E50015D, + (q31_t)0xA8E21106, (q31_t)0x5DC79D7C, (q31_t)0xA84F2DA9, + (q31_t)0x5D3E5236, (q31_t)0xA7BD22AB, (q31_t)0x5CB420DF, + (q31_t)0xA72BF173, (q31_t)0x5C290ACC, (q31_t)0xA69B9B68, + (q31_t)0x5B9D1153, (q31_t)0xA60C21ED, (q31_t)0x5B1035CF, + (q31_t)0xA57D8666, (q31_t)0x5A82799A, (q31_t)0xA4EFCA31, + (q31_t)0x59F3DE12, (q31_t)0xA462EEAC, (q31_t)0x59646497, + (q31_t)0xA3D6F533, (q31_t)0x58D40E8C, (q31_t)0xA34BDF20, + (q31_t)0x5842DD54, (q31_t)0xA2C1ADC9, (q31_t)0x57B0D256, + (q31_t)0xA2386283, (q31_t)0x571DEEF9, (q31_t)0xA1AFFEA2, + (q31_t)0x568A34A9, (q31_t)0xA1288376, (q31_t)0x55F5A4D2, + (q31_t)0xA0A1F24C, (q31_t)0x556040E2, (q31_t)0xA01C4C72, + (q31_t)0x54CA0A4A, (q31_t)0x9F979331, (q31_t)0x5433027D, + (q31_t)0x9F13C7D0, (q31_t)0x539B2AEF, (q31_t)0x9E90EB94, + (q31_t)0x53028517, (q31_t)0x9E0EFFC1, (q31_t)0x5269126E, + (q31_t)0x9D8E0596, (q31_t)0x51CED46E, (q31_t)0x9D0DFE53, + (q31_t)0x5133CC94, (q31_t)0x9C8EEB33, (q31_t)0x5097FC5E, + (q31_t)0x9C10CD70, (q31_t)0x4FFB654D, (q31_t)0x9B93A640, + (q31_t)0x4F5E08E3, (q31_t)0x9B1776D9, (q31_t)0x4EBFE8A4, + (q31_t)0x9A9C406D, (q31_t)0x4E210617, (q31_t)0x9A22042C, + (q31_t)0x4D8162C4, (q31_t)0x99A8C344, (q31_t)0x4CE10034, + (q31_t)0x99307EE0, (q31_t)0x4C3FDFF3, (q31_t)0x98B93828, + (q31_t)0x4B9E038F, (q31_t)0x9842F043, (q31_t)0x4AFB6C97, + (q31_t)0x97CDA855, (q31_t)0x4A581C9D, (q31_t)0x9759617E, + (q31_t)0x49B41533, (q31_t)0x96E61CDF, (q31_t)0x490F57EE, + (q31_t)0x9673DB94, (q31_t)0x4869E664, (q31_t)0x96029EB5, + (q31_t)0x47C3C22E, (q31_t)0x9592675B, (q31_t)0x471CECE6, + (q31_t)0x9523369B, (q31_t)0x46756827, (q31_t)0x94B50D87, + (q31_t)0x45CD358F, (q31_t)0x9447ED2F, (q31_t)0x452456BC, + (q31_t)0x93DBD69F, (q31_t)0x447ACD50, (q31_t)0x9370CAE4, + (q31_t)0x43D09AEC, (q31_t)0x9306CB04, (q31_t)0x4325C135, + (q31_t)0x929DD805, (q31_t)0x427A41D0, (q31_t)0x9235F2EB, + (q31_t)0x41CE1E64, (q31_t)0x91CF1CB6, (q31_t)0x4121589A, + (q31_t)0x91695663, (q31_t)0x4073F21D, (q31_t)0x9104A0ED, + (q31_t)0x3FC5EC97, (q31_t)0x90A0FD4E, (q31_t)0x3F1749B7, + (q31_t)0x903E6C7A, (q31_t)0x3E680B2C, (q31_t)0x8FDCEF66, + (q31_t)0x3DB832A5, (q31_t)0x8F7C8701, (q31_t)0x3D07C1D5, + (q31_t)0x8F1D343A, (q31_t)0x3C56BA70, (q31_t)0x8EBEF7FB, + (q31_t)0x3BA51E29, (q31_t)0x8E61D32D, (q31_t)0x3AF2EEB7, + (q31_t)0x8E05C6B7, (q31_t)0x3A402DD1, (q31_t)0x8DAAD37B, + (q31_t)0x398CDD32, (q31_t)0x8D50FA59, (q31_t)0x38D8FE93, + (q31_t)0x8CF83C30, (q31_t)0x382493B0, (q31_t)0x8CA099D9, + (q31_t)0x376F9E46, (q31_t)0x8C4A142F, (q31_t)0x36BA2013, + (q31_t)0x8BF4AC05, (q31_t)0x36041AD9, (q31_t)0x8BA0622F, + (q31_t)0x354D9056, (q31_t)0x8B4D377C, (q31_t)0x3496824F, + (q31_t)0x8AFB2CBA, (q31_t)0x33DEF287, (q31_t)0x8AAA42B4, + (q31_t)0x3326E2C2, (q31_t)0x8A5A7A30, (q31_t)0x326E54C7, + (q31_t)0x8A0BD3F5, (q31_t)0x31B54A5D, (q31_t)0x89BE50C3, + (q31_t)0x30FBC54D, (q31_t)0x8971F15A, (q31_t)0x3041C760, + (q31_t)0x8926B677, (q31_t)0x2F875262, (q31_t)0x88DCA0D3, + (q31_t)0x2ECC681E, (q31_t)0x8893B124, (q31_t)0x2E110A62, + (q31_t)0x884BE820, (q31_t)0x2D553AFB, (q31_t)0x88054677, + (q31_t)0x2C98FBBA, (q31_t)0x87BFCCD7, (q31_t)0x2BDC4E6F, + (q31_t)0x877B7BEC, (q31_t)0x2B1F34EB, (q31_t)0x8738545E, + (q31_t)0x2A61B101, (q31_t)0x86F656D3, (q31_t)0x29A3C484, + (q31_t)0x86B583EE, (q31_t)0x28E5714A, (q31_t)0x8675DC4E, + (q31_t)0x2826B928, (q31_t)0x86376092, (q31_t)0x27679DF4, + (q31_t)0x85FA1152, (q31_t)0x26A82185, (q31_t)0x85BDEF27, + (q31_t)0x25E845B5, (q31_t)0x8582FAA4, (q31_t)0x25280C5D, + (q31_t)0x8549345C, (q31_t)0x24677757, (q31_t)0x85109CDC, + (q31_t)0x23A6887E, (q31_t)0x84D934B0, (q31_t)0x22E541AE, + (q31_t)0x84A2FC62, (q31_t)0x2223A4C5, (q31_t)0x846DF476, + (q31_t)0x2161B39F, (q31_t)0x843A1D70, (q31_t)0x209F701C, + (q31_t)0x840777CF, (q31_t)0x1FDCDC1A, (q31_t)0x83D60411, + (q31_t)0x1F19F97B, (q31_t)0x83A5C2B0, (q31_t)0x1E56CA1E, + (q31_t)0x8376B422, (q31_t)0x1D934FE5, (q31_t)0x8348D8DB, + (q31_t)0x1CCF8CB3, (q31_t)0x831C314E, (q31_t)0x1C0B826A, + (q31_t)0x82F0BDE8, (q31_t)0x1B4732EF, (q31_t)0x82C67F13, + (q31_t)0x1A82A025, (q31_t)0x829D753A, (q31_t)0x19BDCBF2, + (q31_t)0x8275A0C0, (q31_t)0x18F8B83C, (q31_t)0x824F0208, + (q31_t)0x183366E8, (q31_t)0x82299971, (q31_t)0x176DD9DE, + (q31_t)0x82056758, (q31_t)0x16A81305, (q31_t)0x81E26C16, + (q31_t)0x15E21444, (q31_t)0x81C0A801, (q31_t)0x151BDF85, + (q31_t)0x81A01B6C, (q31_t)0x145576B1, (q31_t)0x8180C6A9, + (q31_t)0x138EDBB0, (q31_t)0x8162AA03, (q31_t)0x12C8106E, + (q31_t)0x8145C5C6, (q31_t)0x120116D4, (q31_t)0x812A1A39, + (q31_t)0x1139F0CE, (q31_t)0x810FA7A0, (q31_t)0x1072A047, + (q31_t)0x80F66E3C, (q31_t)0x0FAB272B, (q31_t)0x80DE6E4C, + (q31_t)0x0EE38765, (q31_t)0x80C7A80A, (q31_t)0x0E1BC2E3, + (q31_t)0x80B21BAF, (q31_t)0x0D53DB92, (q31_t)0x809DC970, + (q31_t)0x0C8BD35E, (q31_t)0x808AB180, (q31_t)0x0BC3AC35, + (q31_t)0x8078D40D, (q31_t)0x0AFB6805, (q31_t)0x80683143, + (q31_t)0x0A3308BC, (q31_t)0x8058C94C, (q31_t)0x096A9049, + (q31_t)0x804A9C4D, (q31_t)0x08A2009A, (q31_t)0x803DAA69, + (q31_t)0x07D95B9E, (q31_t)0x8031F3C1, (q31_t)0x0710A344, + (q31_t)0x80277872, (q31_t)0x0647D97C, (q31_t)0x801E3894, + (q31_t)0x057F0034, (q31_t)0x80163440, (q31_t)0x04B6195D, + (q31_t)0x800F6B88, (q31_t)0x03ED26E6, (q31_t)0x8009DE7D, + (q31_t)0x03242ABF, (q31_t)0x80058D2E, (q31_t)0x025B26D7, + (q31_t)0x800277A5, (q31_t)0x01921D1F, (q31_t)0x80009DE9, + (q31_t)0x00C90F88, (q31_t)0x80000000, (q31_t)0x00000000, + (q31_t)0x80009DE9, (q31_t)0xFF36F078, (q31_t)0x800277A5, + (q31_t)0xFE6DE2E0, (q31_t)0x80058D2E, (q31_t)0xFDA4D928, + (q31_t)0x8009DE7D, (q31_t)0xFCDBD541, (q31_t)0x800F6B88, + (q31_t)0xFC12D919, (q31_t)0x80163440, (q31_t)0xFB49E6A2, + (q31_t)0x801E3894, (q31_t)0xFA80FFCB, (q31_t)0x80277872, + (q31_t)0xF9B82683, (q31_t)0x8031F3C1, (q31_t)0xF8EF5CBB, + (q31_t)0x803DAA69, (q31_t)0xF826A461, (q31_t)0x804A9C4D, + (q31_t)0xF75DFF65, (q31_t)0x8058C94C, (q31_t)0xF6956FB6, + (q31_t)0x80683143, (q31_t)0xF5CCF743, (q31_t)0x8078D40D, + (q31_t)0xF50497FA, (q31_t)0x808AB180, (q31_t)0xF43C53CA, + (q31_t)0x809DC970, (q31_t)0xF3742CA1, (q31_t)0x80B21BAF, + (q31_t)0xF2AC246D, (q31_t)0x80C7A80A, (q31_t)0xF1E43D1C, + (q31_t)0x80DE6E4C, (q31_t)0xF11C789A, (q31_t)0x80F66E3C, + (q31_t)0xF054D8D4, (q31_t)0x810FA7A0, (q31_t)0xEF8D5FB8, + (q31_t)0x812A1A39, (q31_t)0xEEC60F31, (q31_t)0x8145C5C6, + (q31_t)0xEDFEE92B, (q31_t)0x8162AA03, (q31_t)0xED37EF91, + (q31_t)0x8180C6A9, (q31_t)0xEC71244F, (q31_t)0x81A01B6C, + (q31_t)0xEBAA894E, (q31_t)0x81C0A801, (q31_t)0xEAE4207A, + (q31_t)0x81E26C16, (q31_t)0xEA1DEBBB, (q31_t)0x82056758, + (q31_t)0xE957ECFB, (q31_t)0x82299971, (q31_t)0xE8922621, + (q31_t)0x824F0208, (q31_t)0xE7CC9917, (q31_t)0x8275A0C0, + (q31_t)0xE70747C3, (q31_t)0x829D753A, (q31_t)0xE642340D, + (q31_t)0x82C67F13, (q31_t)0xE57D5FDA, (q31_t)0x82F0BDE8, + (q31_t)0xE4B8CD10, (q31_t)0x831C314E, (q31_t)0xE3F47D95, + (q31_t)0x8348D8DB, (q31_t)0xE330734C, (q31_t)0x8376B422, + (q31_t)0xE26CB01A, (q31_t)0x83A5C2B0, (q31_t)0xE1A935E1, + (q31_t)0x83D60411, (q31_t)0xE0E60684, (q31_t)0x840777CF, + (q31_t)0xE02323E5, (q31_t)0x843A1D70, (q31_t)0xDF608FE3, + (q31_t)0x846DF476, (q31_t)0xDE9E4C60, (q31_t)0x84A2FC62, + (q31_t)0xDDDC5B3A, (q31_t)0x84D934B0, (q31_t)0xDD1ABE51, + (q31_t)0x85109CDC, (q31_t)0xDC597781, (q31_t)0x8549345C, + (q31_t)0xDB9888A8, (q31_t)0x8582FAA4, (q31_t)0xDAD7F3A2, + (q31_t)0x85BDEF27, (q31_t)0xDA17BA4A, (q31_t)0x85FA1152, + (q31_t)0xD957DE7A, (q31_t)0x86376092, (q31_t)0xD898620C, + (q31_t)0x8675DC4E, (q31_t)0xD7D946D7, (q31_t)0x86B583EE, + (q31_t)0xD71A8EB5, (q31_t)0x86F656D3, (q31_t)0xD65C3B7B, + (q31_t)0x8738545E, (q31_t)0xD59E4EFE, (q31_t)0x877B7BEC, + (q31_t)0xD4E0CB14, (q31_t)0x87BFCCD7, (q31_t)0xD423B190, + (q31_t)0x88054677, (q31_t)0xD3670445, (q31_t)0x884BE820, + (q31_t)0xD2AAC504, (q31_t)0x8893B124, (q31_t)0xD1EEF59E, + (q31_t)0x88DCA0D3, (q31_t)0xD13397E1, (q31_t)0x8926B677, + (q31_t)0xD078AD9D, (q31_t)0x8971F15A, (q31_t)0xCFBE389F, + (q31_t)0x89BE50C3, (q31_t)0xCF043AB2, (q31_t)0x8A0BD3F5, + (q31_t)0xCE4AB5A2, (q31_t)0x8A5A7A30, (q31_t)0xCD91AB38, + (q31_t)0x8AAA42B4, (q31_t)0xCCD91D3D, (q31_t)0x8AFB2CBA, + (q31_t)0xCC210D78, (q31_t)0x8B4D377C, (q31_t)0xCB697DB0, + (q31_t)0x8BA0622F, (q31_t)0xCAB26FA9, (q31_t)0x8BF4AC05, + (q31_t)0xC9FBE527, (q31_t)0x8C4A142F, (q31_t)0xC945DFEC, + (q31_t)0x8CA099D9, (q31_t)0xC89061BA, (q31_t)0x8CF83C30, + (q31_t)0xC7DB6C50, (q31_t)0x8D50FA59, (q31_t)0xC727016C, + (q31_t)0x8DAAD37B, (q31_t)0xC67322CD, (q31_t)0x8E05C6B7, + (q31_t)0xC5BFD22E, (q31_t)0x8E61D32D, (q31_t)0xC50D1148, + (q31_t)0x8EBEF7FB, (q31_t)0xC45AE1D7, (q31_t)0x8F1D343A, + (q31_t)0xC3A9458F, (q31_t)0x8F7C8701, (q31_t)0xC2F83E2A, + (q31_t)0x8FDCEF66, (q31_t)0xC247CD5A, (q31_t)0x903E6C7A, + (q31_t)0xC197F4D3, (q31_t)0x90A0FD4E, (q31_t)0xC0E8B648, + (q31_t)0x9104A0ED, (q31_t)0xC03A1368, (q31_t)0x91695663, + (q31_t)0xBF8C0DE2, (q31_t)0x91CF1CB6, (q31_t)0xBEDEA765, + (q31_t)0x9235F2EB, (q31_t)0xBE31E19B, (q31_t)0x929DD805, + (q31_t)0xBD85BE2F, (q31_t)0x9306CB04, (q31_t)0xBCDA3ECA, + (q31_t)0x9370CAE4, (q31_t)0xBC2F6513, (q31_t)0x93DBD69F, + (q31_t)0xBB8532AF, (q31_t)0x9447ED2F, (q31_t)0xBADBA943, + (q31_t)0x94B50D87, (q31_t)0xBA32CA70, (q31_t)0x9523369B, + (q31_t)0xB98A97D8, (q31_t)0x9592675B, (q31_t)0xB8E31319, + (q31_t)0x96029EB5, (q31_t)0xB83C3DD1, (q31_t)0x9673DB94, + (q31_t)0xB796199B, (q31_t)0x96E61CDF, (q31_t)0xB6F0A811, + (q31_t)0x9759617E, (q31_t)0xB64BEACC, (q31_t)0x97CDA855, + (q31_t)0xB5A7E362, (q31_t)0x9842F043, (q31_t)0xB5049368, + (q31_t)0x98B93828, (q31_t)0xB461FC70, (q31_t)0x99307EE0, + (q31_t)0xB3C0200C, (q31_t)0x99A8C344, (q31_t)0xB31EFFCB, + (q31_t)0x9A22042C, (q31_t)0xB27E9D3B, (q31_t)0x9A9C406D, + (q31_t)0xB1DEF9E8, (q31_t)0x9B1776D9, (q31_t)0xB140175B, + (q31_t)0x9B93A640, (q31_t)0xB0A1F71C, (q31_t)0x9C10CD70, + (q31_t)0xB0049AB2, (q31_t)0x9C8EEB33, (q31_t)0xAF6803A1, + (q31_t)0x9D0DFE53, (q31_t)0xAECC336B, (q31_t)0x9D8E0596, + (q31_t)0xAE312B91, (q31_t)0x9E0EFFC1, (q31_t)0xAD96ED91, + (q31_t)0x9E90EB94, (q31_t)0xACFD7AE8, (q31_t)0x9F13C7D0, + (q31_t)0xAC64D510, (q31_t)0x9F979331, (q31_t)0xABCCFD82, + (q31_t)0xA01C4C72, (q31_t)0xAB35F5B5, (q31_t)0xA0A1F24C, + (q31_t)0xAA9FBF1D, (q31_t)0xA1288376, (q31_t)0xAA0A5B2D, + (q31_t)0xA1AFFEA2, (q31_t)0xA975CB56, (q31_t)0xA2386283, + (q31_t)0xA8E21106, (q31_t)0xA2C1ADC9, (q31_t)0xA84F2DA9, + (q31_t)0xA34BDF20, (q31_t)0xA7BD22AB, (q31_t)0xA3D6F533, + (q31_t)0xA72BF173, (q31_t)0xA462EEAC, (q31_t)0xA69B9B68, + (q31_t)0xA4EFCA31, (q31_t)0xA60C21ED, (q31_t)0xA57D8666, + (q31_t)0xA57D8666, (q31_t)0xA60C21ED, (q31_t)0xA4EFCA31, + (q31_t)0xA69B9B68, (q31_t)0xA462EEAC, (q31_t)0xA72BF173, + (q31_t)0xA3D6F533, (q31_t)0xA7BD22AB, (q31_t)0xA34BDF20, + (q31_t)0xA84F2DA9, (q31_t)0xA2C1ADC9, (q31_t)0xA8E21106, + (q31_t)0xA2386283, (q31_t)0xA975CB56, (q31_t)0xA1AFFEA2, + (q31_t)0xAA0A5B2D, (q31_t)0xA1288376, (q31_t)0xAA9FBF1D, + (q31_t)0xA0A1F24C, (q31_t)0xAB35F5B5, (q31_t)0xA01C4C72, + (q31_t)0xABCCFD82, (q31_t)0x9F979331, (q31_t)0xAC64D510, + (q31_t)0x9F13C7D0, (q31_t)0xACFD7AE8, (q31_t)0x9E90EB94, + (q31_t)0xAD96ED91, (q31_t)0x9E0EFFC1, (q31_t)0xAE312B91, + (q31_t)0x9D8E0596, (q31_t)0xAECC336B, (q31_t)0x9D0DFE53, + (q31_t)0xAF6803A1, (q31_t)0x9C8EEB33, (q31_t)0xB0049AB2, + (q31_t)0x9C10CD70, (q31_t)0xB0A1F71C, (q31_t)0x9B93A640, + (q31_t)0xB140175B, (q31_t)0x9B1776D9, (q31_t)0xB1DEF9E8, + (q31_t)0x9A9C406D, (q31_t)0xB27E9D3B, (q31_t)0x9A22042C, + (q31_t)0xB31EFFCB, (q31_t)0x99A8C344, (q31_t)0xB3C0200C, + (q31_t)0x99307EE0, (q31_t)0xB461FC70, (q31_t)0x98B93828, + (q31_t)0xB5049368, (q31_t)0x9842F043, (q31_t)0xB5A7E362, + (q31_t)0x97CDA855, (q31_t)0xB64BEACC, (q31_t)0x9759617E, + (q31_t)0xB6F0A811, (q31_t)0x96E61CDF, (q31_t)0xB796199B, + (q31_t)0x9673DB94, (q31_t)0xB83C3DD1, (q31_t)0x96029EB5, + (q31_t)0xB8E31319, (q31_t)0x9592675B, (q31_t)0xB98A97D8, + (q31_t)0x9523369B, (q31_t)0xBA32CA70, (q31_t)0x94B50D87, + (q31_t)0xBADBA943, (q31_t)0x9447ED2F, (q31_t)0xBB8532AF, + (q31_t)0x93DBD69F, (q31_t)0xBC2F6513, (q31_t)0x9370CAE4, + (q31_t)0xBCDA3ECA, (q31_t)0x9306CB04, (q31_t)0xBD85BE2F, + (q31_t)0x929DD805, (q31_t)0xBE31E19B, (q31_t)0x9235F2EB, + (q31_t)0xBEDEA765, (q31_t)0x91CF1CB6, (q31_t)0xBF8C0DE2, + (q31_t)0x91695663, (q31_t)0xC03A1368, (q31_t)0x9104A0ED, + (q31_t)0xC0E8B648, (q31_t)0x90A0FD4E, (q31_t)0xC197F4D3, + (q31_t)0x903E6C7A, (q31_t)0xC247CD5A, (q31_t)0x8FDCEF66, + (q31_t)0xC2F83E2A, (q31_t)0x8F7C8701, (q31_t)0xC3A9458F, + (q31_t)0x8F1D343A, (q31_t)0xC45AE1D7, (q31_t)0x8EBEF7FB, + (q31_t)0xC50D1148, (q31_t)0x8E61D32D, (q31_t)0xC5BFD22E, + (q31_t)0x8E05C6B7, (q31_t)0xC67322CD, (q31_t)0x8DAAD37B, + (q31_t)0xC727016C, (q31_t)0x8D50FA59, (q31_t)0xC7DB6C50, + (q31_t)0x8CF83C30, (q31_t)0xC89061BA, (q31_t)0x8CA099D9, + (q31_t)0xC945DFEC, (q31_t)0x8C4A142F, (q31_t)0xC9FBE527, + (q31_t)0x8BF4AC05, (q31_t)0xCAB26FA9, (q31_t)0x8BA0622F, + (q31_t)0xCB697DB0, (q31_t)0x8B4D377C, (q31_t)0xCC210D78, + (q31_t)0x8AFB2CBA, (q31_t)0xCCD91D3D, (q31_t)0x8AAA42B4, + (q31_t)0xCD91AB38, (q31_t)0x8A5A7A30, (q31_t)0xCE4AB5A2, + (q31_t)0x8A0BD3F5, (q31_t)0xCF043AB2, (q31_t)0x89BE50C3, + (q31_t)0xCFBE389F, (q31_t)0x8971F15A, (q31_t)0xD078AD9D, + (q31_t)0x8926B677, (q31_t)0xD13397E1, (q31_t)0x88DCA0D3, + (q31_t)0xD1EEF59E, (q31_t)0x8893B124, (q31_t)0xD2AAC504, + (q31_t)0x884BE820, (q31_t)0xD3670445, (q31_t)0x88054677, + (q31_t)0xD423B190, (q31_t)0x87BFCCD7, (q31_t)0xD4E0CB14, + (q31_t)0x877B7BEC, (q31_t)0xD59E4EFE, (q31_t)0x8738545E, + (q31_t)0xD65C3B7B, (q31_t)0x86F656D3, (q31_t)0xD71A8EB5, + (q31_t)0x86B583EE, (q31_t)0xD7D946D7, (q31_t)0x8675DC4E, + (q31_t)0xD898620C, (q31_t)0x86376092, (q31_t)0xD957DE7A, + (q31_t)0x85FA1152, (q31_t)0xDA17BA4A, (q31_t)0x85BDEF27, + (q31_t)0xDAD7F3A2, (q31_t)0x8582FAA4, (q31_t)0xDB9888A8, + (q31_t)0x8549345C, (q31_t)0xDC597781, (q31_t)0x85109CDC, + (q31_t)0xDD1ABE51, (q31_t)0x84D934B0, (q31_t)0xDDDC5B3A, + (q31_t)0x84A2FC62, (q31_t)0xDE9E4C60, (q31_t)0x846DF476, + (q31_t)0xDF608FE3, (q31_t)0x843A1D70, (q31_t)0xE02323E5, + (q31_t)0x840777CF, (q31_t)0xE0E60684, (q31_t)0x83D60411, + (q31_t)0xE1A935E1, (q31_t)0x83A5C2B0, (q31_t)0xE26CB01A, + (q31_t)0x8376B422, (q31_t)0xE330734C, (q31_t)0x8348D8DB, + (q31_t)0xE3F47D95, (q31_t)0x831C314E, (q31_t)0xE4B8CD10, + (q31_t)0x82F0BDE8, (q31_t)0xE57D5FDA, (q31_t)0x82C67F13, + (q31_t)0xE642340D, (q31_t)0x829D753A, (q31_t)0xE70747C3, + (q31_t)0x8275A0C0, (q31_t)0xE7CC9917, (q31_t)0x824F0208, + (q31_t)0xE8922621, (q31_t)0x82299971, (q31_t)0xE957ECFB, + (q31_t)0x82056758, (q31_t)0xEA1DEBBB, (q31_t)0x81E26C16, + (q31_t)0xEAE4207A, (q31_t)0x81C0A801, (q31_t)0xEBAA894E, + (q31_t)0x81A01B6C, (q31_t)0xEC71244F, (q31_t)0x8180C6A9, + (q31_t)0xED37EF91, (q31_t)0x8162AA03, (q31_t)0xEDFEE92B, + (q31_t)0x8145C5C6, (q31_t)0xEEC60F31, (q31_t)0x812A1A39, + (q31_t)0xEF8D5FB8, (q31_t)0x810FA7A0, (q31_t)0xF054D8D4, + (q31_t)0x80F66E3C, (q31_t)0xF11C789A, (q31_t)0x80DE6E4C, + (q31_t)0xF1E43D1C, (q31_t)0x80C7A80A, (q31_t)0xF2AC246D, + (q31_t)0x80B21BAF, (q31_t)0xF3742CA1, (q31_t)0x809DC970, + (q31_t)0xF43C53CA, (q31_t)0x808AB180, (q31_t)0xF50497FA, + (q31_t)0x8078D40D, (q31_t)0xF5CCF743, (q31_t)0x80683143, + (q31_t)0xF6956FB6, (q31_t)0x8058C94C, (q31_t)0xF75DFF65, + (q31_t)0x804A9C4D, (q31_t)0xF826A461, (q31_t)0x803DAA69, + (q31_t)0xF8EF5CBB, (q31_t)0x8031F3C1, (q31_t)0xF9B82683, + (q31_t)0x80277872, (q31_t)0xFA80FFCB, (q31_t)0x801E3894, + (q31_t)0xFB49E6A2, (q31_t)0x80163440, (q31_t)0xFC12D919, + (q31_t)0x800F6B88, (q31_t)0xFCDBD541, (q31_t)0x8009DE7D, + (q31_t)0xFDA4D928, (q31_t)0x80058D2E, (q31_t)0xFE6DE2E0, + (q31_t)0x800277A5, (q31_t)0xFF36F078, (q31_t)0x80009DE9 +}; + +/** +* \par +* Example code for Q31 Twiddle factors Generation:: +* \par +*
for(i = 0; i< 3N/4; i++)
+* {
+*    twiddleCoefQ31[2*i]= cos(i * 2*PI/(float)N);
+*    twiddleCoefQ31[2*i+1]= sin(i * 2*PI/(float)N);
+* } 
+* \par +* where N = 2048 and PI = 3.14159265358979 +* \par +* Cos and Sin values are interleaved fashion +* \par +* Convert Floating point to Q31(Fixed point 1.31): +* round(twiddleCoefQ31(i) * pow(2, 31)) +* +*/ +const q31_t twiddleCoef_2048_q31[3072] = { + (q31_t)0x7FFFFFFF, (q31_t)0x00000000, (q31_t)0x7FFFD885, + (q31_t)0x006487E3, (q31_t)0x7FFF6216, (q31_t)0x00C90F88, + (q31_t)0x7FFE9CB2, (q31_t)0x012D96B0, (q31_t)0x7FFD885A, + (q31_t)0x01921D1F, (q31_t)0x7FFC250F, (q31_t)0x01F6A296, + (q31_t)0x7FFA72D1, (q31_t)0x025B26D7, (q31_t)0x7FF871A1, + (q31_t)0x02BFA9A4, (q31_t)0x7FF62182, (q31_t)0x03242ABF, + (q31_t)0x7FF38273, (q31_t)0x0388A9E9, (q31_t)0x7FF09477, + (q31_t)0x03ED26E6, (q31_t)0x7FED5790, (q31_t)0x0451A176, + (q31_t)0x7FE9CBC0, (q31_t)0x04B6195D, (q31_t)0x7FE5F108, + (q31_t)0x051A8E5C, (q31_t)0x7FE1C76B, (q31_t)0x057F0034, + (q31_t)0x7FDD4EEC, (q31_t)0x05E36EA9, (q31_t)0x7FD8878D, + (q31_t)0x0647D97C, (q31_t)0x7FD37152, (q31_t)0x06AC406F, + (q31_t)0x7FCE0C3E, (q31_t)0x0710A344, (q31_t)0x7FC85853, + (q31_t)0x077501BE, (q31_t)0x7FC25596, (q31_t)0x07D95B9E, + (q31_t)0x7FBC040A, (q31_t)0x083DB0A7, (q31_t)0x7FB563B2, + (q31_t)0x08A2009A, (q31_t)0x7FAE7494, (q31_t)0x09064B3A, + (q31_t)0x7FA736B4, (q31_t)0x096A9049, (q31_t)0x7F9FAA15, + (q31_t)0x09CECF89, (q31_t)0x7F97CEBC, (q31_t)0x0A3308BC, + (q31_t)0x7F8FA4AF, (q31_t)0x0A973BA5, (q31_t)0x7F872BF3, + (q31_t)0x0AFB6805, (q31_t)0x7F7E648B, (q31_t)0x0B5F8D9F, + (q31_t)0x7F754E7F, (q31_t)0x0BC3AC35, (q31_t)0x7F6BE9D4, + (q31_t)0x0C27C389, (q31_t)0x7F62368F, (q31_t)0x0C8BD35E, + (q31_t)0x7F5834B6, (q31_t)0x0CEFDB75, (q31_t)0x7F4DE450, + (q31_t)0x0D53DB92, (q31_t)0x7F434563, (q31_t)0x0DB7D376, + (q31_t)0x7F3857F5, (q31_t)0x0E1BC2E3, (q31_t)0x7F2D1C0E, + (q31_t)0x0E7FA99D, (q31_t)0x7F2191B4, (q31_t)0x0EE38765, + (q31_t)0x7F15B8EE, (q31_t)0x0F475BFE, (q31_t)0x7F0991C3, + (q31_t)0x0FAB272B, (q31_t)0x7EFD1C3C, (q31_t)0x100EE8AD, + (q31_t)0x7EF0585F, (q31_t)0x1072A047, (q31_t)0x7EE34635, + (q31_t)0x10D64DBC, (q31_t)0x7ED5E5C6, (q31_t)0x1139F0CE, + (q31_t)0x7EC8371A, (q31_t)0x119D8940, (q31_t)0x7EBA3A39, + (q31_t)0x120116D4, (q31_t)0x7EABEF2C, (q31_t)0x1264994E, + (q31_t)0x7E9D55FC, (q31_t)0x12C8106E, (q31_t)0x7E8E6EB1, + (q31_t)0x132B7BF9, (q31_t)0x7E7F3956, (q31_t)0x138EDBB0, + (q31_t)0x7E6FB5F3, (q31_t)0x13F22F57, (q31_t)0x7E5FE493, + (q31_t)0x145576B1, (q31_t)0x7E4FC53E, (q31_t)0x14B8B17F, + (q31_t)0x7E3F57FE, (q31_t)0x151BDF85, (q31_t)0x7E2E9CDF, + (q31_t)0x157F0086, (q31_t)0x7E1D93E9, (q31_t)0x15E21444, + (q31_t)0x7E0C3D29, (q31_t)0x16451A83, (q31_t)0x7DFA98A7, + (q31_t)0x16A81305, (q31_t)0x7DE8A670, (q31_t)0x170AFD8D, + (q31_t)0x7DD6668E, (q31_t)0x176DD9DE, (q31_t)0x7DC3D90D, + (q31_t)0x17D0A7BB, (q31_t)0x7DB0FDF7, (q31_t)0x183366E8, + (q31_t)0x7D9DD55A, (q31_t)0x18961727, (q31_t)0x7D8A5F3F, + (q31_t)0x18F8B83C, (q31_t)0x7D769BB5, (q31_t)0x195B49E9, + (q31_t)0x7D628AC5, (q31_t)0x19BDCBF2, (q31_t)0x7D4E2C7E, + (q31_t)0x1A203E1B, (q31_t)0x7D3980EC, (q31_t)0x1A82A025, + (q31_t)0x7D24881A, (q31_t)0x1AE4F1D6, (q31_t)0x7D0F4218, + (q31_t)0x1B4732EF, (q31_t)0x7CF9AEF0, (q31_t)0x1BA96334, + (q31_t)0x7CE3CEB1, (q31_t)0x1C0B826A, (q31_t)0x7CCDA168, + (q31_t)0x1C6D9053, (q31_t)0x7CB72724, (q31_t)0x1CCF8CB3, + (q31_t)0x7CA05FF1, (q31_t)0x1D31774D, (q31_t)0x7C894BDD, + (q31_t)0x1D934FE5, (q31_t)0x7C71EAF8, (q31_t)0x1DF5163F, + (q31_t)0x7C5A3D4F, (q31_t)0x1E56CA1E, (q31_t)0x7C4242F2, + (q31_t)0x1EB86B46, (q31_t)0x7C29FBEE, (q31_t)0x1F19F97B, + (q31_t)0x7C116853, (q31_t)0x1F7B7480, (q31_t)0x7BF88830, + (q31_t)0x1FDCDC1A, (q31_t)0x7BDF5B94, (q31_t)0x203E300D, + (q31_t)0x7BC5E28F, (q31_t)0x209F701C, (q31_t)0x7BAC1D31, + (q31_t)0x21009C0B, (q31_t)0x7B920B89, (q31_t)0x2161B39F, + (q31_t)0x7B77ADA8, (q31_t)0x21C2B69C, (q31_t)0x7B5D039D, + (q31_t)0x2223A4C5, (q31_t)0x7B420D7A, (q31_t)0x22847DDF, + (q31_t)0x7B26CB4F, (q31_t)0x22E541AE, (q31_t)0x7B0B3D2C, + (q31_t)0x2345EFF7, (q31_t)0x7AEF6323, (q31_t)0x23A6887E, + (q31_t)0x7AD33D45, (q31_t)0x24070B07, (q31_t)0x7AB6CBA3, + (q31_t)0x24677757, (q31_t)0x7A9A0E4F, (q31_t)0x24C7CD32, + (q31_t)0x7A7D055B, (q31_t)0x25280C5D, (q31_t)0x7A5FB0D8, + (q31_t)0x2588349D, (q31_t)0x7A4210D8, (q31_t)0x25E845B5, + (q31_t)0x7A24256E, (q31_t)0x26483F6C, (q31_t)0x7A05EEAD, + (q31_t)0x26A82185, (q31_t)0x79E76CA6, (q31_t)0x2707EBC6, + (q31_t)0x79C89F6D, (q31_t)0x27679DF4, (q31_t)0x79A98715, + (q31_t)0x27C737D2, (q31_t)0x798A23B1, (q31_t)0x2826B928, + (q31_t)0x796A7554, (q31_t)0x288621B9, (q31_t)0x794A7C11, + (q31_t)0x28E5714A, (q31_t)0x792A37FE, (q31_t)0x2944A7A2, + (q31_t)0x7909A92C, (q31_t)0x29A3C484, (q31_t)0x78E8CFB1, + (q31_t)0x2A02C7B8, (q31_t)0x78C7ABA1, (q31_t)0x2A61B101, + (q31_t)0x78A63D10, (q31_t)0x2AC08025, (q31_t)0x78848413, + (q31_t)0x2B1F34EB, (q31_t)0x786280BF, (q31_t)0x2B7DCF17, + (q31_t)0x78403328, (q31_t)0x2BDC4E6F, (q31_t)0x781D9B64, + (q31_t)0x2C3AB2B9, (q31_t)0x77FAB988, (q31_t)0x2C98FBBA, + (q31_t)0x77D78DAA, (q31_t)0x2CF72939, (q31_t)0x77B417DF, + (q31_t)0x2D553AFB, (q31_t)0x7790583D, (q31_t)0x2DB330C7, + (q31_t)0x776C4EDB, (q31_t)0x2E110A62, (q31_t)0x7747FBCE, + (q31_t)0x2E6EC792, (q31_t)0x77235F2D, (q31_t)0x2ECC681E, + (q31_t)0x76FE790E, (q31_t)0x2F29EBCC, (q31_t)0x76D94988, + (q31_t)0x2F875262, (q31_t)0x76B3D0B3, (q31_t)0x2FE49BA6, + (q31_t)0x768E0EA5, (q31_t)0x3041C760, (q31_t)0x76680376, + (q31_t)0x309ED555, (q31_t)0x7641AF3C, (q31_t)0x30FBC54D, + (q31_t)0x761B1211, (q31_t)0x3158970D, (q31_t)0x75F42C0A, + (q31_t)0x31B54A5D, (q31_t)0x75CCFD42, (q31_t)0x3211DF03, + (q31_t)0x75A585CF, (q31_t)0x326E54C7, (q31_t)0x757DC5CA, + (q31_t)0x32CAAB6F, (q31_t)0x7555BD4B, (q31_t)0x3326E2C2, + (q31_t)0x752D6C6C, (q31_t)0x3382FA88, (q31_t)0x7504D345, + (q31_t)0x33DEF287, (q31_t)0x74DBF1EF, (q31_t)0x343ACA87, + (q31_t)0x74B2C883, (q31_t)0x3496824F, (q31_t)0x7489571B, + (q31_t)0x34F219A7, (q31_t)0x745F9DD1, (q31_t)0x354D9056, + (q31_t)0x74359CBD, (q31_t)0x35A8E624, (q31_t)0x740B53FA, + (q31_t)0x36041AD9, (q31_t)0x73E0C3A3, (q31_t)0x365F2E3B, + (q31_t)0x73B5EBD0, (q31_t)0x36BA2013, (q31_t)0x738ACC9E, + (q31_t)0x3714F02A, (q31_t)0x735F6626, (q31_t)0x376F9E46, + (q31_t)0x7333B883, (q31_t)0x37CA2A30, (q31_t)0x7307C3D0, + (q31_t)0x382493B0, (q31_t)0x72DB8828, (q31_t)0x387EDA8E, + (q31_t)0x72AF05A6, (q31_t)0x38D8FE93, (q31_t)0x72823C66, + (q31_t)0x3932FF87, (q31_t)0x72552C84, (q31_t)0x398CDD32, + (q31_t)0x7227D61C, (q31_t)0x39E6975D, (q31_t)0x71FA3948, + (q31_t)0x3A402DD1, (q31_t)0x71CC5626, (q31_t)0x3A99A057, + (q31_t)0x719E2CD2, (q31_t)0x3AF2EEB7, (q31_t)0x716FBD68, + (q31_t)0x3B4C18BA, (q31_t)0x71410804, (q31_t)0x3BA51E29, + (q31_t)0x71120CC5, (q31_t)0x3BFDFECD, (q31_t)0x70E2CBC6, + (q31_t)0x3C56BA70, (q31_t)0x70B34524, (q31_t)0x3CAF50DA, + (q31_t)0x708378FE, (q31_t)0x3D07C1D5, (q31_t)0x70536771, + (q31_t)0x3D600D2B, (q31_t)0x70231099, (q31_t)0x3DB832A5, + (q31_t)0x6FF27496, (q31_t)0x3E10320D, (q31_t)0x6FC19385, + (q31_t)0x3E680B2C, (q31_t)0x6F906D84, (q31_t)0x3EBFBDCC, + (q31_t)0x6F5F02B1, (q31_t)0x3F1749B7, (q31_t)0x6F2D532C, + (q31_t)0x3F6EAEB8, (q31_t)0x6EFB5F12, (q31_t)0x3FC5EC97, + (q31_t)0x6EC92682, (q31_t)0x401D0320, (q31_t)0x6E96A99C, + (q31_t)0x4073F21D, (q31_t)0x6E63E87F, (q31_t)0x40CAB957, + (q31_t)0x6E30E349, (q31_t)0x4121589A, (q31_t)0x6DFD9A1B, + (q31_t)0x4177CFB0, (q31_t)0x6DCA0D14, (q31_t)0x41CE1E64, + (q31_t)0x6D963C54, (q31_t)0x42244480, (q31_t)0x6D6227FA, + (q31_t)0x427A41D0, (q31_t)0x6D2DD027, (q31_t)0x42D0161E, + (q31_t)0x6CF934FB, (q31_t)0x4325C135, (q31_t)0x6CC45697, + (q31_t)0x437B42E1, (q31_t)0x6C8F351C, (q31_t)0x43D09AEC, + (q31_t)0x6C59D0A9, (q31_t)0x4425C923, (q31_t)0x6C242960, + (q31_t)0x447ACD50, (q31_t)0x6BEE3F62, (q31_t)0x44CFA73F, + (q31_t)0x6BB812D0, (q31_t)0x452456BC, (q31_t)0x6B81A3CD, + (q31_t)0x4578DB93, (q31_t)0x6B4AF278, (q31_t)0x45CD358F, + (q31_t)0x6B13FEF5, (q31_t)0x4621647C, (q31_t)0x6ADCC964, + (q31_t)0x46756827, (q31_t)0x6AA551E8, (q31_t)0x46C9405C, + (q31_t)0x6A6D98A4, (q31_t)0x471CECE6, (q31_t)0x6A359DB9, + (q31_t)0x47706D93, (q31_t)0x69FD614A, (q31_t)0x47C3C22E, + (q31_t)0x69C4E37A, (q31_t)0x4816EA85, (q31_t)0x698C246C, + (q31_t)0x4869E664, (q31_t)0x69532442, (q31_t)0x48BCB598, + (q31_t)0x6919E320, (q31_t)0x490F57EE, (q31_t)0x68E06129, + (q31_t)0x4961CD32, (q31_t)0x68A69E81, (q31_t)0x49B41533, + (q31_t)0x686C9B4B, (q31_t)0x4A062FBD, (q31_t)0x683257AA, + (q31_t)0x4A581C9D, (q31_t)0x67F7D3C4, (q31_t)0x4AA9DBA1, + (q31_t)0x67BD0FBC, (q31_t)0x4AFB6C97, (q31_t)0x67820BB6, + (q31_t)0x4B4CCF4D, (q31_t)0x6746C7D7, (q31_t)0x4B9E038F, + (q31_t)0x670B4443, (q31_t)0x4BEF092D, (q31_t)0x66CF811F, + (q31_t)0x4C3FDFF3, (q31_t)0x66937E90, (q31_t)0x4C9087B1, + (q31_t)0x66573CBB, (q31_t)0x4CE10034, (q31_t)0x661ABBC5, + (q31_t)0x4D31494B, (q31_t)0x65DDFBD3, (q31_t)0x4D8162C4, + (q31_t)0x65A0FD0B, (q31_t)0x4DD14C6E, (q31_t)0x6563BF92, + (q31_t)0x4E210617, (q31_t)0x6526438E, (q31_t)0x4E708F8F, + (q31_t)0x64E88926, (q31_t)0x4EBFE8A4, (q31_t)0x64AA907F, + (q31_t)0x4F0F1126, (q31_t)0x646C59BF, (q31_t)0x4F5E08E3, + (q31_t)0x642DE50D, (q31_t)0x4FACCFAB, (q31_t)0x63EF328F, + (q31_t)0x4FFB654D, (q31_t)0x63B0426D, (q31_t)0x5049C999, + (q31_t)0x637114CC, (q31_t)0x5097FC5E, (q31_t)0x6331A9D4, + (q31_t)0x50E5FD6C, (q31_t)0x62F201AC, (q31_t)0x5133CC94, + (q31_t)0x62B21C7B, (q31_t)0x518169A4, (q31_t)0x6271FA69, + (q31_t)0x51CED46E, (q31_t)0x62319B9D, (q31_t)0x521C0CC1, + (q31_t)0x61F1003E, (q31_t)0x5269126E, (q31_t)0x61B02876, + (q31_t)0x52B5E545, (q31_t)0x616F146B, (q31_t)0x53028517, + (q31_t)0x612DC446, (q31_t)0x534EF1B5, (q31_t)0x60EC3830, + (q31_t)0x539B2AEF, (q31_t)0x60AA704F, (q31_t)0x53E73097, + (q31_t)0x60686CCE, (q31_t)0x5433027D, (q31_t)0x60262DD5, + (q31_t)0x547EA073, (q31_t)0x5FE3B38D, (q31_t)0x54CA0A4A, + (q31_t)0x5FA0FE1E, (q31_t)0x55153FD4, (q31_t)0x5F5E0DB3, + (q31_t)0x556040E2, (q31_t)0x5F1AE273, (q31_t)0x55AB0D46, + (q31_t)0x5ED77C89, (q31_t)0x55F5A4D2, (q31_t)0x5E93DC1F, + (q31_t)0x56400757, (q31_t)0x5E50015D, (q31_t)0x568A34A9, + (q31_t)0x5E0BEC6E, (q31_t)0x56D42C99, (q31_t)0x5DC79D7C, + (q31_t)0x571DEEF9, (q31_t)0x5D8314B0, (q31_t)0x57677B9D, + (q31_t)0x5D3E5236, (q31_t)0x57B0D256, (q31_t)0x5CF95638, + (q31_t)0x57F9F2F7, (q31_t)0x5CB420DF, (q31_t)0x5842DD54, + (q31_t)0x5C6EB258, (q31_t)0x588B913F, (q31_t)0x5C290ACC, + (q31_t)0x58D40E8C, (q31_t)0x5BE32A67, (q31_t)0x591C550E, + (q31_t)0x5B9D1153, (q31_t)0x59646497, (q31_t)0x5B56BFBD, + (q31_t)0x59AC3CFD, (q31_t)0x5B1035CF, (q31_t)0x59F3DE12, + (q31_t)0x5AC973B4, (q31_t)0x5A3B47AA, (q31_t)0x5A82799A, + (q31_t)0x5A82799A, (q31_t)0x5A3B47AA, (q31_t)0x5AC973B4, + (q31_t)0x59F3DE12, (q31_t)0x5B1035CF, (q31_t)0x59AC3CFD, + (q31_t)0x5B56BFBD, (q31_t)0x59646497, (q31_t)0x5B9D1153, + (q31_t)0x591C550E, (q31_t)0x5BE32A67, (q31_t)0x58D40E8C, + (q31_t)0x5C290ACC, (q31_t)0x588B913F, (q31_t)0x5C6EB258, + (q31_t)0x5842DD54, (q31_t)0x5CB420DF, (q31_t)0x57F9F2F7, + (q31_t)0x5CF95638, (q31_t)0x57B0D256, (q31_t)0x5D3E5236, + (q31_t)0x57677B9D, (q31_t)0x5D8314B0, (q31_t)0x571DEEF9, + (q31_t)0x5DC79D7C, (q31_t)0x56D42C99, (q31_t)0x5E0BEC6E, + (q31_t)0x568A34A9, (q31_t)0x5E50015D, (q31_t)0x56400757, + (q31_t)0x5E93DC1F, (q31_t)0x55F5A4D2, (q31_t)0x5ED77C89, + (q31_t)0x55AB0D46, (q31_t)0x5F1AE273, (q31_t)0x556040E2, + (q31_t)0x5F5E0DB3, (q31_t)0x55153FD4, (q31_t)0x5FA0FE1E, + (q31_t)0x54CA0A4A, (q31_t)0x5FE3B38D, (q31_t)0x547EA073, + (q31_t)0x60262DD5, (q31_t)0x5433027D, (q31_t)0x60686CCE, + (q31_t)0x53E73097, (q31_t)0x60AA704F, (q31_t)0x539B2AEF, + (q31_t)0x60EC3830, (q31_t)0x534EF1B5, (q31_t)0x612DC446, + (q31_t)0x53028517, (q31_t)0x616F146B, (q31_t)0x52B5E545, + (q31_t)0x61B02876, (q31_t)0x5269126E, (q31_t)0x61F1003E, + (q31_t)0x521C0CC1, (q31_t)0x62319B9D, (q31_t)0x51CED46E, + (q31_t)0x6271FA69, (q31_t)0x518169A4, (q31_t)0x62B21C7B, + (q31_t)0x5133CC94, (q31_t)0x62F201AC, (q31_t)0x50E5FD6C, + (q31_t)0x6331A9D4, (q31_t)0x5097FC5E, (q31_t)0x637114CC, + (q31_t)0x5049C999, (q31_t)0x63B0426D, (q31_t)0x4FFB654D, + (q31_t)0x63EF328F, (q31_t)0x4FACCFAB, (q31_t)0x642DE50D, + (q31_t)0x4F5E08E3, (q31_t)0x646C59BF, (q31_t)0x4F0F1126, + (q31_t)0x64AA907F, (q31_t)0x4EBFE8A4, (q31_t)0x64E88926, + (q31_t)0x4E708F8F, (q31_t)0x6526438E, (q31_t)0x4E210617, + (q31_t)0x6563BF92, (q31_t)0x4DD14C6E, (q31_t)0x65A0FD0B, + (q31_t)0x4D8162C4, (q31_t)0x65DDFBD3, (q31_t)0x4D31494B, + (q31_t)0x661ABBC5, (q31_t)0x4CE10034, (q31_t)0x66573CBB, + (q31_t)0x4C9087B1, (q31_t)0x66937E90, (q31_t)0x4C3FDFF3, + (q31_t)0x66CF811F, (q31_t)0x4BEF092D, (q31_t)0x670B4443, + (q31_t)0x4B9E038F, (q31_t)0x6746C7D7, (q31_t)0x4B4CCF4D, + (q31_t)0x67820BB6, (q31_t)0x4AFB6C97, (q31_t)0x67BD0FBC, + (q31_t)0x4AA9DBA1, (q31_t)0x67F7D3C4, (q31_t)0x4A581C9D, + (q31_t)0x683257AA, (q31_t)0x4A062FBD, (q31_t)0x686C9B4B, + (q31_t)0x49B41533, (q31_t)0x68A69E81, (q31_t)0x4961CD32, + (q31_t)0x68E06129, (q31_t)0x490F57EE, (q31_t)0x6919E320, + (q31_t)0x48BCB598, (q31_t)0x69532442, (q31_t)0x4869E664, + (q31_t)0x698C246C, (q31_t)0x4816EA85, (q31_t)0x69C4E37A, + (q31_t)0x47C3C22E, (q31_t)0x69FD614A, (q31_t)0x47706D93, + (q31_t)0x6A359DB9, (q31_t)0x471CECE6, (q31_t)0x6A6D98A4, + (q31_t)0x46C9405C, (q31_t)0x6AA551E8, (q31_t)0x46756827, + (q31_t)0x6ADCC964, (q31_t)0x4621647C, (q31_t)0x6B13FEF5, + (q31_t)0x45CD358F, (q31_t)0x6B4AF278, (q31_t)0x4578DB93, + (q31_t)0x6B81A3CD, (q31_t)0x452456BC, (q31_t)0x6BB812D0, + (q31_t)0x44CFA73F, (q31_t)0x6BEE3F62, (q31_t)0x447ACD50, + (q31_t)0x6C242960, (q31_t)0x4425C923, (q31_t)0x6C59D0A9, + (q31_t)0x43D09AEC, (q31_t)0x6C8F351C, (q31_t)0x437B42E1, + (q31_t)0x6CC45697, (q31_t)0x4325C135, (q31_t)0x6CF934FB, + (q31_t)0x42D0161E, (q31_t)0x6D2DD027, (q31_t)0x427A41D0, + (q31_t)0x6D6227FA, (q31_t)0x42244480, (q31_t)0x6D963C54, + (q31_t)0x41CE1E64, (q31_t)0x6DCA0D14, (q31_t)0x4177CFB0, + (q31_t)0x6DFD9A1B, (q31_t)0x4121589A, (q31_t)0x6E30E349, + (q31_t)0x40CAB957, (q31_t)0x6E63E87F, (q31_t)0x4073F21D, + (q31_t)0x6E96A99C, (q31_t)0x401D0320, (q31_t)0x6EC92682, + (q31_t)0x3FC5EC97, (q31_t)0x6EFB5F12, (q31_t)0x3F6EAEB8, + (q31_t)0x6F2D532C, (q31_t)0x3F1749B7, (q31_t)0x6F5F02B1, + (q31_t)0x3EBFBDCC, (q31_t)0x6F906D84, (q31_t)0x3E680B2C, + (q31_t)0x6FC19385, (q31_t)0x3E10320D, (q31_t)0x6FF27496, + (q31_t)0x3DB832A5, (q31_t)0x70231099, (q31_t)0x3D600D2B, + (q31_t)0x70536771, (q31_t)0x3D07C1D5, (q31_t)0x708378FE, + (q31_t)0x3CAF50DA, (q31_t)0x70B34524, (q31_t)0x3C56BA70, + (q31_t)0x70E2CBC6, (q31_t)0x3BFDFECD, (q31_t)0x71120CC5, + (q31_t)0x3BA51E29, (q31_t)0x71410804, (q31_t)0x3B4C18BA, + (q31_t)0x716FBD68, (q31_t)0x3AF2EEB7, (q31_t)0x719E2CD2, + (q31_t)0x3A99A057, (q31_t)0x71CC5626, (q31_t)0x3A402DD1, + (q31_t)0x71FA3948, (q31_t)0x39E6975D, (q31_t)0x7227D61C, + (q31_t)0x398CDD32, (q31_t)0x72552C84, (q31_t)0x3932FF87, + (q31_t)0x72823C66, (q31_t)0x38D8FE93, (q31_t)0x72AF05A6, + (q31_t)0x387EDA8E, (q31_t)0x72DB8828, (q31_t)0x382493B0, + (q31_t)0x7307C3D0, (q31_t)0x37CA2A30, (q31_t)0x7333B883, + (q31_t)0x376F9E46, (q31_t)0x735F6626, (q31_t)0x3714F02A, + (q31_t)0x738ACC9E, (q31_t)0x36BA2013, (q31_t)0x73B5EBD0, + (q31_t)0x365F2E3B, (q31_t)0x73E0C3A3, (q31_t)0x36041AD9, + (q31_t)0x740B53FA, (q31_t)0x35A8E624, (q31_t)0x74359CBD, + (q31_t)0x354D9056, (q31_t)0x745F9DD1, (q31_t)0x34F219A7, + (q31_t)0x7489571B, (q31_t)0x3496824F, (q31_t)0x74B2C883, + (q31_t)0x343ACA87, (q31_t)0x74DBF1EF, (q31_t)0x33DEF287, + (q31_t)0x7504D345, (q31_t)0x3382FA88, (q31_t)0x752D6C6C, + (q31_t)0x3326E2C2, (q31_t)0x7555BD4B, (q31_t)0x32CAAB6F, + (q31_t)0x757DC5CA, (q31_t)0x326E54C7, (q31_t)0x75A585CF, + (q31_t)0x3211DF03, (q31_t)0x75CCFD42, (q31_t)0x31B54A5D, + (q31_t)0x75F42C0A, (q31_t)0x3158970D, (q31_t)0x761B1211, + (q31_t)0x30FBC54D, (q31_t)0x7641AF3C, (q31_t)0x309ED555, + (q31_t)0x76680376, (q31_t)0x3041C760, (q31_t)0x768E0EA5, + (q31_t)0x2FE49BA6, (q31_t)0x76B3D0B3, (q31_t)0x2F875262, + (q31_t)0x76D94988, (q31_t)0x2F29EBCC, (q31_t)0x76FE790E, + (q31_t)0x2ECC681E, (q31_t)0x77235F2D, (q31_t)0x2E6EC792, + (q31_t)0x7747FBCE, (q31_t)0x2E110A62, (q31_t)0x776C4EDB, + (q31_t)0x2DB330C7, (q31_t)0x7790583D, (q31_t)0x2D553AFB, + (q31_t)0x77B417DF, (q31_t)0x2CF72939, (q31_t)0x77D78DAA, + (q31_t)0x2C98FBBA, (q31_t)0x77FAB988, (q31_t)0x2C3AB2B9, + (q31_t)0x781D9B64, (q31_t)0x2BDC4E6F, (q31_t)0x78403328, + (q31_t)0x2B7DCF17, (q31_t)0x786280BF, (q31_t)0x2B1F34EB, + (q31_t)0x78848413, (q31_t)0x2AC08025, (q31_t)0x78A63D10, + (q31_t)0x2A61B101, (q31_t)0x78C7ABA1, (q31_t)0x2A02C7B8, + (q31_t)0x78E8CFB1, (q31_t)0x29A3C484, (q31_t)0x7909A92C, + (q31_t)0x2944A7A2, (q31_t)0x792A37FE, (q31_t)0x28E5714A, + (q31_t)0x794A7C11, (q31_t)0x288621B9, (q31_t)0x796A7554, + (q31_t)0x2826B928, (q31_t)0x798A23B1, (q31_t)0x27C737D2, + (q31_t)0x79A98715, (q31_t)0x27679DF4, (q31_t)0x79C89F6D, + (q31_t)0x2707EBC6, (q31_t)0x79E76CA6, (q31_t)0x26A82185, + (q31_t)0x7A05EEAD, (q31_t)0x26483F6C, (q31_t)0x7A24256E, + (q31_t)0x25E845B5, (q31_t)0x7A4210D8, (q31_t)0x2588349D, + (q31_t)0x7A5FB0D8, (q31_t)0x25280C5D, (q31_t)0x7A7D055B, + (q31_t)0x24C7CD32, (q31_t)0x7A9A0E4F, (q31_t)0x24677757, + (q31_t)0x7AB6CBA3, (q31_t)0x24070B07, (q31_t)0x7AD33D45, + (q31_t)0x23A6887E, (q31_t)0x7AEF6323, (q31_t)0x2345EFF7, + (q31_t)0x7B0B3D2C, (q31_t)0x22E541AE, (q31_t)0x7B26CB4F, + (q31_t)0x22847DDF, (q31_t)0x7B420D7A, (q31_t)0x2223A4C5, + (q31_t)0x7B5D039D, (q31_t)0x21C2B69C, (q31_t)0x7B77ADA8, + (q31_t)0x2161B39F, (q31_t)0x7B920B89, (q31_t)0x21009C0B, + (q31_t)0x7BAC1D31, (q31_t)0x209F701C, (q31_t)0x7BC5E28F, + (q31_t)0x203E300D, (q31_t)0x7BDF5B94, (q31_t)0x1FDCDC1A, + (q31_t)0x7BF88830, (q31_t)0x1F7B7480, (q31_t)0x7C116853, + (q31_t)0x1F19F97B, (q31_t)0x7C29FBEE, (q31_t)0x1EB86B46, + (q31_t)0x7C4242F2, (q31_t)0x1E56CA1E, (q31_t)0x7C5A3D4F, + (q31_t)0x1DF5163F, (q31_t)0x7C71EAF8, (q31_t)0x1D934FE5, + (q31_t)0x7C894BDD, (q31_t)0x1D31774D, (q31_t)0x7CA05FF1, + (q31_t)0x1CCF8CB3, (q31_t)0x7CB72724, (q31_t)0x1C6D9053, + (q31_t)0x7CCDA168, (q31_t)0x1C0B826A, (q31_t)0x7CE3CEB1, + (q31_t)0x1BA96334, (q31_t)0x7CF9AEF0, (q31_t)0x1B4732EF, + (q31_t)0x7D0F4218, (q31_t)0x1AE4F1D6, (q31_t)0x7D24881A, + (q31_t)0x1A82A025, (q31_t)0x7D3980EC, (q31_t)0x1A203E1B, + (q31_t)0x7D4E2C7E, (q31_t)0x19BDCBF2, (q31_t)0x7D628AC5, + (q31_t)0x195B49E9, (q31_t)0x7D769BB5, (q31_t)0x18F8B83C, + (q31_t)0x7D8A5F3F, (q31_t)0x18961727, (q31_t)0x7D9DD55A, + (q31_t)0x183366E8, (q31_t)0x7DB0FDF7, (q31_t)0x17D0A7BB, + (q31_t)0x7DC3D90D, (q31_t)0x176DD9DE, (q31_t)0x7DD6668E, + (q31_t)0x170AFD8D, (q31_t)0x7DE8A670, (q31_t)0x16A81305, + (q31_t)0x7DFA98A7, (q31_t)0x16451A83, (q31_t)0x7E0C3D29, + (q31_t)0x15E21444, (q31_t)0x7E1D93E9, (q31_t)0x157F0086, + (q31_t)0x7E2E9CDF, (q31_t)0x151BDF85, (q31_t)0x7E3F57FE, + (q31_t)0x14B8B17F, (q31_t)0x7E4FC53E, (q31_t)0x145576B1, + (q31_t)0x7E5FE493, (q31_t)0x13F22F57, (q31_t)0x7E6FB5F3, + (q31_t)0x138EDBB0, (q31_t)0x7E7F3956, (q31_t)0x132B7BF9, + (q31_t)0x7E8E6EB1, (q31_t)0x12C8106E, (q31_t)0x7E9D55FC, + (q31_t)0x1264994E, (q31_t)0x7EABEF2C, (q31_t)0x120116D4, + (q31_t)0x7EBA3A39, (q31_t)0x119D8940, (q31_t)0x7EC8371A, + (q31_t)0x1139F0CE, (q31_t)0x7ED5E5C6, (q31_t)0x10D64DBC, + (q31_t)0x7EE34635, (q31_t)0x1072A047, (q31_t)0x7EF0585F, + (q31_t)0x100EE8AD, (q31_t)0x7EFD1C3C, (q31_t)0x0FAB272B, + (q31_t)0x7F0991C3, (q31_t)0x0F475BFE, (q31_t)0x7F15B8EE, + (q31_t)0x0EE38765, (q31_t)0x7F2191B4, (q31_t)0x0E7FA99D, + (q31_t)0x7F2D1C0E, (q31_t)0x0E1BC2E3, (q31_t)0x7F3857F5, + (q31_t)0x0DB7D376, (q31_t)0x7F434563, (q31_t)0x0D53DB92, + (q31_t)0x7F4DE450, (q31_t)0x0CEFDB75, (q31_t)0x7F5834B6, + (q31_t)0x0C8BD35E, (q31_t)0x7F62368F, (q31_t)0x0C27C389, + (q31_t)0x7F6BE9D4, (q31_t)0x0BC3AC35, (q31_t)0x7F754E7F, + (q31_t)0x0B5F8D9F, (q31_t)0x7F7E648B, (q31_t)0x0AFB6805, + (q31_t)0x7F872BF3, (q31_t)0x0A973BA5, (q31_t)0x7F8FA4AF, + (q31_t)0x0A3308BC, (q31_t)0x7F97CEBC, (q31_t)0x09CECF89, + (q31_t)0x7F9FAA15, (q31_t)0x096A9049, (q31_t)0x7FA736B4, + (q31_t)0x09064B3A, (q31_t)0x7FAE7494, (q31_t)0x08A2009A, + (q31_t)0x7FB563B2, (q31_t)0x083DB0A7, (q31_t)0x7FBC040A, + (q31_t)0x07D95B9E, (q31_t)0x7FC25596, (q31_t)0x077501BE, + (q31_t)0x7FC85853, (q31_t)0x0710A344, (q31_t)0x7FCE0C3E, + (q31_t)0x06AC406F, (q31_t)0x7FD37152, (q31_t)0x0647D97C, + (q31_t)0x7FD8878D, (q31_t)0x05E36EA9, (q31_t)0x7FDD4EEC, + (q31_t)0x057F0034, (q31_t)0x7FE1C76B, (q31_t)0x051A8E5C, + (q31_t)0x7FE5F108, (q31_t)0x04B6195D, (q31_t)0x7FE9CBC0, + (q31_t)0x0451A176, (q31_t)0x7FED5790, (q31_t)0x03ED26E6, + (q31_t)0x7FF09477, (q31_t)0x0388A9E9, (q31_t)0x7FF38273, + (q31_t)0x03242ABF, (q31_t)0x7FF62182, (q31_t)0x02BFA9A4, + (q31_t)0x7FF871A1, (q31_t)0x025B26D7, (q31_t)0x7FFA72D1, + (q31_t)0x01F6A296, (q31_t)0x7FFC250F, (q31_t)0x01921D1F, + (q31_t)0x7FFD885A, (q31_t)0x012D96B0, (q31_t)0x7FFE9CB2, + (q31_t)0x00C90F88, (q31_t)0x7FFF6216, (q31_t)0x006487E3, + (q31_t)0x7FFFD885, (q31_t)0x00000000, (q31_t)0x7FFFFFFF, + (q31_t)0xFF9B781D, (q31_t)0x7FFFD885, (q31_t)0xFF36F078, + (q31_t)0x7FFF6216, (q31_t)0xFED2694F, (q31_t)0x7FFE9CB2, + (q31_t)0xFE6DE2E0, (q31_t)0x7FFD885A, (q31_t)0xFE095D69, + (q31_t)0x7FFC250F, (q31_t)0xFDA4D928, (q31_t)0x7FFA72D1, + (q31_t)0xFD40565B, (q31_t)0x7FF871A1, (q31_t)0xFCDBD541, + (q31_t)0x7FF62182, (q31_t)0xFC775616, (q31_t)0x7FF38273, + (q31_t)0xFC12D919, (q31_t)0x7FF09477, (q31_t)0xFBAE5E89, + (q31_t)0x7FED5790, (q31_t)0xFB49E6A2, (q31_t)0x7FE9CBC0, + (q31_t)0xFAE571A4, (q31_t)0x7FE5F108, (q31_t)0xFA80FFCB, + (q31_t)0x7FE1C76B, (q31_t)0xFA1C9156, (q31_t)0x7FDD4EEC, + (q31_t)0xF9B82683, (q31_t)0x7FD8878D, (q31_t)0xF953BF90, + (q31_t)0x7FD37152, (q31_t)0xF8EF5CBB, (q31_t)0x7FCE0C3E, + (q31_t)0xF88AFE41, (q31_t)0x7FC85853, (q31_t)0xF826A461, + (q31_t)0x7FC25596, (q31_t)0xF7C24F58, (q31_t)0x7FBC040A, + (q31_t)0xF75DFF65, (q31_t)0x7FB563B2, (q31_t)0xF6F9B4C5, + (q31_t)0x7FAE7494, (q31_t)0xF6956FB6, (q31_t)0x7FA736B4, + (q31_t)0xF6313076, (q31_t)0x7F9FAA15, (q31_t)0xF5CCF743, + (q31_t)0x7F97CEBC, (q31_t)0xF568C45A, (q31_t)0x7F8FA4AF, + (q31_t)0xF50497FA, (q31_t)0x7F872BF3, (q31_t)0xF4A07260, + (q31_t)0x7F7E648B, (q31_t)0xF43C53CA, (q31_t)0x7F754E7F, + (q31_t)0xF3D83C76, (q31_t)0x7F6BE9D4, (q31_t)0xF3742CA1, + (q31_t)0x7F62368F, (q31_t)0xF310248A, (q31_t)0x7F5834B6, + (q31_t)0xF2AC246D, (q31_t)0x7F4DE450, (q31_t)0xF2482C89, + (q31_t)0x7F434563, (q31_t)0xF1E43D1C, (q31_t)0x7F3857F5, + (q31_t)0xF1805662, (q31_t)0x7F2D1C0E, (q31_t)0xF11C789A, + (q31_t)0x7F2191B4, (q31_t)0xF0B8A401, (q31_t)0x7F15B8EE, + (q31_t)0xF054D8D4, (q31_t)0x7F0991C3, (q31_t)0xEFF11752, + (q31_t)0x7EFD1C3C, (q31_t)0xEF8D5FB8, (q31_t)0x7EF0585F, + (q31_t)0xEF29B243, (q31_t)0x7EE34635, (q31_t)0xEEC60F31, + (q31_t)0x7ED5E5C6, (q31_t)0xEE6276BF, (q31_t)0x7EC8371A, + (q31_t)0xEDFEE92B, (q31_t)0x7EBA3A39, (q31_t)0xED9B66B2, + (q31_t)0x7EABEF2C, (q31_t)0xED37EF91, (q31_t)0x7E9D55FC, + (q31_t)0xECD48406, (q31_t)0x7E8E6EB1, (q31_t)0xEC71244F, + (q31_t)0x7E7F3956, (q31_t)0xEC0DD0A8, (q31_t)0x7E6FB5F3, + (q31_t)0xEBAA894E, (q31_t)0x7E5FE493, (q31_t)0xEB474E80, + (q31_t)0x7E4FC53E, (q31_t)0xEAE4207A, (q31_t)0x7E3F57FE, + (q31_t)0xEA80FF79, (q31_t)0x7E2E9CDF, (q31_t)0xEA1DEBBB, + (q31_t)0x7E1D93E9, (q31_t)0xE9BAE57C, (q31_t)0x7E0C3D29, + (q31_t)0xE957ECFB, (q31_t)0x7DFA98A7, (q31_t)0xE8F50273, + (q31_t)0x7DE8A670, (q31_t)0xE8922621, (q31_t)0x7DD6668E, + (q31_t)0xE82F5844, (q31_t)0x7DC3D90D, (q31_t)0xE7CC9917, + (q31_t)0x7DB0FDF7, (q31_t)0xE769E8D8, (q31_t)0x7D9DD55A, + (q31_t)0xE70747C3, (q31_t)0x7D8A5F3F, (q31_t)0xE6A4B616, + (q31_t)0x7D769BB5, (q31_t)0xE642340D, (q31_t)0x7D628AC5, + (q31_t)0xE5DFC1E4, (q31_t)0x7D4E2C7E, (q31_t)0xE57D5FDA, + (q31_t)0x7D3980EC, (q31_t)0xE51B0E2A, (q31_t)0x7D24881A, + (q31_t)0xE4B8CD10, (q31_t)0x7D0F4218, (q31_t)0xE4569CCB, + (q31_t)0x7CF9AEF0, (q31_t)0xE3F47D95, (q31_t)0x7CE3CEB1, + (q31_t)0xE3926FAC, (q31_t)0x7CCDA168, (q31_t)0xE330734C, + (q31_t)0x7CB72724, (q31_t)0xE2CE88B2, (q31_t)0x7CA05FF1, + (q31_t)0xE26CB01A, (q31_t)0x7C894BDD, (q31_t)0xE20AE9C1, + (q31_t)0x7C71EAF8, (q31_t)0xE1A935E1, (q31_t)0x7C5A3D4F, + (q31_t)0xE14794B9, (q31_t)0x7C4242F2, (q31_t)0xE0E60684, + (q31_t)0x7C29FBEE, (q31_t)0xE0848B7F, (q31_t)0x7C116853, + (q31_t)0xE02323E5, (q31_t)0x7BF88830, (q31_t)0xDFC1CFF2, + (q31_t)0x7BDF5B94, (q31_t)0xDF608FE3, (q31_t)0x7BC5E28F, + (q31_t)0xDEFF63F4, (q31_t)0x7BAC1D31, (q31_t)0xDE9E4C60, + (q31_t)0x7B920B89, (q31_t)0xDE3D4963, (q31_t)0x7B77ADA8, + (q31_t)0xDDDC5B3A, (q31_t)0x7B5D039D, (q31_t)0xDD7B8220, + (q31_t)0x7B420D7A, (q31_t)0xDD1ABE51, (q31_t)0x7B26CB4F, + (q31_t)0xDCBA1008, (q31_t)0x7B0B3D2C, (q31_t)0xDC597781, + (q31_t)0x7AEF6323, (q31_t)0xDBF8F4F8, (q31_t)0x7AD33D45, + (q31_t)0xDB9888A8, (q31_t)0x7AB6CBA3, (q31_t)0xDB3832CD, + (q31_t)0x7A9A0E4F, (q31_t)0xDAD7F3A2, (q31_t)0x7A7D055B, + (q31_t)0xDA77CB62, (q31_t)0x7A5FB0D8, (q31_t)0xDA17BA4A, + (q31_t)0x7A4210D8, (q31_t)0xD9B7C093, (q31_t)0x7A24256E, + (q31_t)0xD957DE7A, (q31_t)0x7A05EEAD, (q31_t)0xD8F81439, + (q31_t)0x79E76CA6, (q31_t)0xD898620C, (q31_t)0x79C89F6D, + (q31_t)0xD838C82D, (q31_t)0x79A98715, (q31_t)0xD7D946D7, + (q31_t)0x798A23B1, (q31_t)0xD779DE46, (q31_t)0x796A7554, + (q31_t)0xD71A8EB5, (q31_t)0x794A7C11, (q31_t)0xD6BB585D, + (q31_t)0x792A37FE, (q31_t)0xD65C3B7B, (q31_t)0x7909A92C, + (q31_t)0xD5FD3847, (q31_t)0x78E8CFB1, (q31_t)0xD59E4EFE, + (q31_t)0x78C7ABA1, (q31_t)0xD53F7FDA, (q31_t)0x78A63D10, + (q31_t)0xD4E0CB14, (q31_t)0x78848413, (q31_t)0xD48230E8, + (q31_t)0x786280BF, (q31_t)0xD423B190, (q31_t)0x78403328, + (q31_t)0xD3C54D46, (q31_t)0x781D9B64, (q31_t)0xD3670445, + (q31_t)0x77FAB988, (q31_t)0xD308D6C6, (q31_t)0x77D78DAA, + (q31_t)0xD2AAC504, (q31_t)0x77B417DF, (q31_t)0xD24CCF38, + (q31_t)0x7790583D, (q31_t)0xD1EEF59E, (q31_t)0x776C4EDB, + (q31_t)0xD191386D, (q31_t)0x7747FBCE, (q31_t)0xD13397E1, + (q31_t)0x77235F2D, (q31_t)0xD0D61433, (q31_t)0x76FE790E, + (q31_t)0xD078AD9D, (q31_t)0x76D94988, (q31_t)0xD01B6459, + (q31_t)0x76B3D0B3, (q31_t)0xCFBE389F, (q31_t)0x768E0EA5, + (q31_t)0xCF612AAA, (q31_t)0x76680376, (q31_t)0xCF043AB2, + (q31_t)0x7641AF3C, (q31_t)0xCEA768F2, (q31_t)0x761B1211, + (q31_t)0xCE4AB5A2, (q31_t)0x75F42C0A, (q31_t)0xCDEE20FC, + (q31_t)0x75CCFD42, (q31_t)0xCD91AB38, (q31_t)0x75A585CF, + (q31_t)0xCD355490, (q31_t)0x757DC5CA, (q31_t)0xCCD91D3D, + (q31_t)0x7555BD4B, (q31_t)0xCC7D0577, (q31_t)0x752D6C6C, + (q31_t)0xCC210D78, (q31_t)0x7504D345, (q31_t)0xCBC53578, + (q31_t)0x74DBF1EF, (q31_t)0xCB697DB0, (q31_t)0x74B2C883, + (q31_t)0xCB0DE658, (q31_t)0x7489571B, (q31_t)0xCAB26FA9, + (q31_t)0x745F9DD1, (q31_t)0xCA5719DB, (q31_t)0x74359CBD, + (q31_t)0xC9FBE527, (q31_t)0x740B53FA, (q31_t)0xC9A0D1C4, + (q31_t)0x73E0C3A3, (q31_t)0xC945DFEC, (q31_t)0x73B5EBD0, + (q31_t)0xC8EB0FD6, (q31_t)0x738ACC9E, (q31_t)0xC89061BA, + (q31_t)0x735F6626, (q31_t)0xC835D5D0, (q31_t)0x7333B883, + (q31_t)0xC7DB6C50, (q31_t)0x7307C3D0, (q31_t)0xC7812571, + (q31_t)0x72DB8828, (q31_t)0xC727016C, (q31_t)0x72AF05A6, + (q31_t)0xC6CD0079, (q31_t)0x72823C66, (q31_t)0xC67322CD, + (q31_t)0x72552C84, (q31_t)0xC61968A2, (q31_t)0x7227D61C, + (q31_t)0xC5BFD22E, (q31_t)0x71FA3948, (q31_t)0xC5665FA8, + (q31_t)0x71CC5626, (q31_t)0xC50D1148, (q31_t)0x719E2CD2, + (q31_t)0xC4B3E746, (q31_t)0x716FBD68, (q31_t)0xC45AE1D7, + (q31_t)0x71410804, (q31_t)0xC4020132, (q31_t)0x71120CC5, + (q31_t)0xC3A9458F, (q31_t)0x70E2CBC6, (q31_t)0xC350AF25, + (q31_t)0x70B34524, (q31_t)0xC2F83E2A, (q31_t)0x708378FE, + (q31_t)0xC29FF2D4, (q31_t)0x70536771, (q31_t)0xC247CD5A, + (q31_t)0x70231099, (q31_t)0xC1EFCDF2, (q31_t)0x6FF27496, + (q31_t)0xC197F4D3, (q31_t)0x6FC19385, (q31_t)0xC1404233, + (q31_t)0x6F906D84, (q31_t)0xC0E8B648, (q31_t)0x6F5F02B1, + (q31_t)0xC0915147, (q31_t)0x6F2D532C, (q31_t)0xC03A1368, + (q31_t)0x6EFB5F12, (q31_t)0xBFE2FCDF, (q31_t)0x6EC92682, + (q31_t)0xBF8C0DE2, (q31_t)0x6E96A99C, (q31_t)0xBF3546A8, + (q31_t)0x6E63E87F, (q31_t)0xBEDEA765, (q31_t)0x6E30E349, + (q31_t)0xBE88304F, (q31_t)0x6DFD9A1B, (q31_t)0xBE31E19B, + (q31_t)0x6DCA0D14, (q31_t)0xBDDBBB7F, (q31_t)0x6D963C54, + (q31_t)0xBD85BE2F, (q31_t)0x6D6227FA, (q31_t)0xBD2FE9E1, + (q31_t)0x6D2DD027, (q31_t)0xBCDA3ECA, (q31_t)0x6CF934FB, + (q31_t)0xBC84BD1E, (q31_t)0x6CC45697, (q31_t)0xBC2F6513, + (q31_t)0x6C8F351C, (q31_t)0xBBDA36DC, (q31_t)0x6C59D0A9, + (q31_t)0xBB8532AF, (q31_t)0x6C242960, (q31_t)0xBB3058C0, + (q31_t)0x6BEE3F62, (q31_t)0xBADBA943, (q31_t)0x6BB812D0, + (q31_t)0xBA87246C, (q31_t)0x6B81A3CD, (q31_t)0xBA32CA70, + (q31_t)0x6B4AF278, (q31_t)0xB9DE9B83, (q31_t)0x6B13FEF5, + (q31_t)0xB98A97D8, (q31_t)0x6ADCC964, (q31_t)0xB936BFA3, + (q31_t)0x6AA551E8, (q31_t)0xB8E31319, (q31_t)0x6A6D98A4, + (q31_t)0xB88F926C, (q31_t)0x6A359DB9, (q31_t)0xB83C3DD1, + (q31_t)0x69FD614A, (q31_t)0xB7E9157A, (q31_t)0x69C4E37A, + (q31_t)0xB796199B, (q31_t)0x698C246C, (q31_t)0xB7434A67, + (q31_t)0x69532442, (q31_t)0xB6F0A811, (q31_t)0x6919E320, + (q31_t)0xB69E32CD, (q31_t)0x68E06129, (q31_t)0xB64BEACC, + (q31_t)0x68A69E81, (q31_t)0xB5F9D042, (q31_t)0x686C9B4B, + (q31_t)0xB5A7E362, (q31_t)0x683257AA, (q31_t)0xB556245E, + (q31_t)0x67F7D3C4, (q31_t)0xB5049368, (q31_t)0x67BD0FBC, + (q31_t)0xB4B330B2, (q31_t)0x67820BB6, (q31_t)0xB461FC70, + (q31_t)0x6746C7D7, (q31_t)0xB410F6D2, (q31_t)0x670B4443, + (q31_t)0xB3C0200C, (q31_t)0x66CF811F, (q31_t)0xB36F784E, + (q31_t)0x66937E90, (q31_t)0xB31EFFCB, (q31_t)0x66573CBB, + (q31_t)0xB2CEB6B5, (q31_t)0x661ABBC5, (q31_t)0xB27E9D3B, + (q31_t)0x65DDFBD3, (q31_t)0xB22EB392, (q31_t)0x65A0FD0B, + (q31_t)0xB1DEF9E8, (q31_t)0x6563BF92, (q31_t)0xB18F7070, + (q31_t)0x6526438E, (q31_t)0xB140175B, (q31_t)0x64E88926, + (q31_t)0xB0F0EEDA, (q31_t)0x64AA907F, (q31_t)0xB0A1F71C, + (q31_t)0x646C59BF, (q31_t)0xB0533055, (q31_t)0x642DE50D, + (q31_t)0xB0049AB2, (q31_t)0x63EF328F, (q31_t)0xAFB63667, + (q31_t)0x63B0426D, (q31_t)0xAF6803A1, (q31_t)0x637114CC, + (q31_t)0xAF1A0293, (q31_t)0x6331A9D4, (q31_t)0xAECC336B, + (q31_t)0x62F201AC, (q31_t)0xAE7E965B, (q31_t)0x62B21C7B, + (q31_t)0xAE312B91, (q31_t)0x6271FA69, (q31_t)0xADE3F33E, + (q31_t)0x62319B9D, (q31_t)0xAD96ED91, (q31_t)0x61F1003E, + (q31_t)0xAD4A1ABA, (q31_t)0x61B02876, (q31_t)0xACFD7AE8, + (q31_t)0x616F146B, (q31_t)0xACB10E4A, (q31_t)0x612DC446, + (q31_t)0xAC64D510, (q31_t)0x60EC3830, (q31_t)0xAC18CF68, + (q31_t)0x60AA704F, (q31_t)0xABCCFD82, (q31_t)0x60686CCE, + (q31_t)0xAB815F8C, (q31_t)0x60262DD5, (q31_t)0xAB35F5B5, + (q31_t)0x5FE3B38D, (q31_t)0xAAEAC02B, (q31_t)0x5FA0FE1E, + (q31_t)0xAA9FBF1D, (q31_t)0x5F5E0DB3, (q31_t)0xAA54F2B9, + (q31_t)0x5F1AE273, (q31_t)0xAA0A5B2D, (q31_t)0x5ED77C89, + (q31_t)0xA9BFF8A8, (q31_t)0x5E93DC1F, (q31_t)0xA975CB56, + (q31_t)0x5E50015D, (q31_t)0xA92BD366, (q31_t)0x5E0BEC6E, + (q31_t)0xA8E21106, (q31_t)0x5DC79D7C, (q31_t)0xA8988463, + (q31_t)0x5D8314B0, (q31_t)0xA84F2DA9, (q31_t)0x5D3E5236, + (q31_t)0xA8060D08, (q31_t)0x5CF95638, (q31_t)0xA7BD22AB, + (q31_t)0x5CB420DF, (q31_t)0xA7746EC0, (q31_t)0x5C6EB258, + (q31_t)0xA72BF173, (q31_t)0x5C290ACC, (q31_t)0xA6E3AAF2, + (q31_t)0x5BE32A67, (q31_t)0xA69B9B68, (q31_t)0x5B9D1153, + (q31_t)0xA653C302, (q31_t)0x5B56BFBD, (q31_t)0xA60C21ED, + (q31_t)0x5B1035CF, (q31_t)0xA5C4B855, (q31_t)0x5AC973B4, + (q31_t)0xA57D8666, (q31_t)0x5A82799A, (q31_t)0xA5368C4B, + (q31_t)0x5A3B47AA, (q31_t)0xA4EFCA31, (q31_t)0x59F3DE12, + (q31_t)0xA4A94042, (q31_t)0x59AC3CFD, (q31_t)0xA462EEAC, + (q31_t)0x59646497, (q31_t)0xA41CD598, (q31_t)0x591C550E, + (q31_t)0xA3D6F533, (q31_t)0x58D40E8C, (q31_t)0xA3914DA7, + (q31_t)0x588B913F, (q31_t)0xA34BDF20, (q31_t)0x5842DD54, + (q31_t)0xA306A9C7, (q31_t)0x57F9F2F7, (q31_t)0xA2C1ADC9, + (q31_t)0x57B0D256, (q31_t)0xA27CEB4F, (q31_t)0x57677B9D, + (q31_t)0xA2386283, (q31_t)0x571DEEF9, (q31_t)0xA1F41391, + (q31_t)0x56D42C99, (q31_t)0xA1AFFEA2, (q31_t)0x568A34A9, + (q31_t)0xA16C23E1, (q31_t)0x56400757, (q31_t)0xA1288376, + (q31_t)0x55F5A4D2, (q31_t)0xA0E51D8C, (q31_t)0x55AB0D46, + (q31_t)0xA0A1F24C, (q31_t)0x556040E2, (q31_t)0xA05F01E1, + (q31_t)0x55153FD4, (q31_t)0xA01C4C72, (q31_t)0x54CA0A4A, + (q31_t)0x9FD9D22A, (q31_t)0x547EA073, (q31_t)0x9F979331, + (q31_t)0x5433027D, (q31_t)0x9F558FB0, (q31_t)0x53E73097, + (q31_t)0x9F13C7D0, (q31_t)0x539B2AEF, (q31_t)0x9ED23BB9, + (q31_t)0x534EF1B5, (q31_t)0x9E90EB94, (q31_t)0x53028517, + (q31_t)0x9E4FD789, (q31_t)0x52B5E545, (q31_t)0x9E0EFFC1, + (q31_t)0x5269126E, (q31_t)0x9DCE6462, (q31_t)0x521C0CC1, + (q31_t)0x9D8E0596, (q31_t)0x51CED46E, (q31_t)0x9D4DE384, + (q31_t)0x518169A4, (q31_t)0x9D0DFE53, (q31_t)0x5133CC94, + (q31_t)0x9CCE562B, (q31_t)0x50E5FD6C, (q31_t)0x9C8EEB33, + (q31_t)0x5097FC5E, (q31_t)0x9C4FBD92, (q31_t)0x5049C999, + (q31_t)0x9C10CD70, (q31_t)0x4FFB654D, (q31_t)0x9BD21AF2, + (q31_t)0x4FACCFAB, (q31_t)0x9B93A640, (q31_t)0x4F5E08E3, + (q31_t)0x9B556F80, (q31_t)0x4F0F1126, (q31_t)0x9B1776D9, + (q31_t)0x4EBFE8A4, (q31_t)0x9AD9BC71, (q31_t)0x4E708F8F, + (q31_t)0x9A9C406D, (q31_t)0x4E210617, (q31_t)0x9A5F02F5, + (q31_t)0x4DD14C6E, (q31_t)0x9A22042C, (q31_t)0x4D8162C4, + (q31_t)0x99E5443A, (q31_t)0x4D31494B, (q31_t)0x99A8C344, + (q31_t)0x4CE10034, (q31_t)0x996C816F, (q31_t)0x4C9087B1, + (q31_t)0x99307EE0, (q31_t)0x4C3FDFF3, (q31_t)0x98F4BBBC, + (q31_t)0x4BEF092D, (q31_t)0x98B93828, (q31_t)0x4B9E038F, + (q31_t)0x987DF449, (q31_t)0x4B4CCF4D, (q31_t)0x9842F043, + (q31_t)0x4AFB6C97, (q31_t)0x98082C3B, (q31_t)0x4AA9DBA1, + (q31_t)0x97CDA855, (q31_t)0x4A581C9D, (q31_t)0x979364B5, + (q31_t)0x4A062FBD, (q31_t)0x9759617E, (q31_t)0x49B41533, + (q31_t)0x971F9ED6, (q31_t)0x4961CD32, (q31_t)0x96E61CDF, + (q31_t)0x490F57EE, (q31_t)0x96ACDBBD, (q31_t)0x48BCB598, + (q31_t)0x9673DB94, (q31_t)0x4869E664, (q31_t)0x963B1C85, + (q31_t)0x4816EA85, (q31_t)0x96029EB5, (q31_t)0x47C3C22E, + (q31_t)0x95CA6246, (q31_t)0x47706D93, (q31_t)0x9592675B, + (q31_t)0x471CECE6, (q31_t)0x955AAE17, (q31_t)0x46C9405C, + (q31_t)0x9523369B, (q31_t)0x46756827, (q31_t)0x94EC010B, + (q31_t)0x4621647C, (q31_t)0x94B50D87, (q31_t)0x45CD358F, + (q31_t)0x947E5C32, (q31_t)0x4578DB93, (q31_t)0x9447ED2F, + (q31_t)0x452456BC, (q31_t)0x9411C09D, (q31_t)0x44CFA73F, + (q31_t)0x93DBD69F, (q31_t)0x447ACD50, (q31_t)0x93A62F56, + (q31_t)0x4425C923, (q31_t)0x9370CAE4, (q31_t)0x43D09AEC, + (q31_t)0x933BA968, (q31_t)0x437B42E1, (q31_t)0x9306CB04, + (q31_t)0x4325C135, (q31_t)0x92D22FD8, (q31_t)0x42D0161E, + (q31_t)0x929DD805, (q31_t)0x427A41D0, (q31_t)0x9269C3AC, + (q31_t)0x42244480, (q31_t)0x9235F2EB, (q31_t)0x41CE1E64, + (q31_t)0x920265E4, (q31_t)0x4177CFB0, (q31_t)0x91CF1CB6, + (q31_t)0x4121589A, (q31_t)0x919C1780, (q31_t)0x40CAB957, + (q31_t)0x91695663, (q31_t)0x4073F21D, (q31_t)0x9136D97D, + (q31_t)0x401D0320, (q31_t)0x9104A0ED, (q31_t)0x3FC5EC97, + (q31_t)0x90D2ACD3, (q31_t)0x3F6EAEB8, (q31_t)0x90A0FD4E, + (q31_t)0x3F1749B7, (q31_t)0x906F927B, (q31_t)0x3EBFBDCC, + (q31_t)0x903E6C7A, (q31_t)0x3E680B2C, (q31_t)0x900D8B69, + (q31_t)0x3E10320D, (q31_t)0x8FDCEF66, (q31_t)0x3DB832A5, + (q31_t)0x8FAC988E, (q31_t)0x3D600D2B, (q31_t)0x8F7C8701, + (q31_t)0x3D07C1D5, (q31_t)0x8F4CBADB, (q31_t)0x3CAF50DA, + (q31_t)0x8F1D343A, (q31_t)0x3C56BA70, (q31_t)0x8EEDF33B, + (q31_t)0x3BFDFECD, (q31_t)0x8EBEF7FB, (q31_t)0x3BA51E29, + (q31_t)0x8E904298, (q31_t)0x3B4C18BA, (q31_t)0x8E61D32D, + (q31_t)0x3AF2EEB7, (q31_t)0x8E33A9D9, (q31_t)0x3A99A057, + (q31_t)0x8E05C6B7, (q31_t)0x3A402DD1, (q31_t)0x8DD829E4, + (q31_t)0x39E6975D, (q31_t)0x8DAAD37B, (q31_t)0x398CDD32, + (q31_t)0x8D7DC399, (q31_t)0x3932FF87, (q31_t)0x8D50FA59, + (q31_t)0x38D8FE93, (q31_t)0x8D2477D8, (q31_t)0x387EDA8E, + (q31_t)0x8CF83C30, (q31_t)0x382493B0, (q31_t)0x8CCC477D, + (q31_t)0x37CA2A30, (q31_t)0x8CA099D9, (q31_t)0x376F9E46, + (q31_t)0x8C753361, (q31_t)0x3714F02A, (q31_t)0x8C4A142F, + (q31_t)0x36BA2013, (q31_t)0x8C1F3C5C, (q31_t)0x365F2E3B, + (q31_t)0x8BF4AC05, (q31_t)0x36041AD9, (q31_t)0x8BCA6342, + (q31_t)0x35A8E624, (q31_t)0x8BA0622F, (q31_t)0x354D9056, + (q31_t)0x8B76A8E4, (q31_t)0x34F219A7, (q31_t)0x8B4D377C, + (q31_t)0x3496824F, (q31_t)0x8B240E10, (q31_t)0x343ACA87, + (q31_t)0x8AFB2CBA, (q31_t)0x33DEF287, (q31_t)0x8AD29393, + (q31_t)0x3382FA88, (q31_t)0x8AAA42B4, (q31_t)0x3326E2C2, + (q31_t)0x8A823A35, (q31_t)0x32CAAB6F, (q31_t)0x8A5A7A30, + (q31_t)0x326E54C7, (q31_t)0x8A3302BD, (q31_t)0x3211DF03, + (q31_t)0x8A0BD3F5, (q31_t)0x31B54A5D, (q31_t)0x89E4EDEE, + (q31_t)0x3158970D, (q31_t)0x89BE50C3, (q31_t)0x30FBC54D, + (q31_t)0x8997FC89, (q31_t)0x309ED555, (q31_t)0x8971F15A, + (q31_t)0x3041C760, (q31_t)0x894C2F4C, (q31_t)0x2FE49BA6, + (q31_t)0x8926B677, (q31_t)0x2F875262, (q31_t)0x890186F1, + (q31_t)0x2F29EBCC, (q31_t)0x88DCA0D3, (q31_t)0x2ECC681E, + (q31_t)0x88B80431, (q31_t)0x2E6EC792, (q31_t)0x8893B124, + (q31_t)0x2E110A62, (q31_t)0x886FA7C2, (q31_t)0x2DB330C7, + (q31_t)0x884BE820, (q31_t)0x2D553AFB, (q31_t)0x88287255, + (q31_t)0x2CF72939, (q31_t)0x88054677, (q31_t)0x2C98FBBA, + (q31_t)0x87E2649B, (q31_t)0x2C3AB2B9, (q31_t)0x87BFCCD7, + (q31_t)0x2BDC4E6F, (q31_t)0x879D7F40, (q31_t)0x2B7DCF17, + (q31_t)0x877B7BEC, (q31_t)0x2B1F34EB, (q31_t)0x8759C2EF, + (q31_t)0x2AC08025, (q31_t)0x8738545E, (q31_t)0x2A61B101, + (q31_t)0x8717304E, (q31_t)0x2A02C7B8, (q31_t)0x86F656D3, + (q31_t)0x29A3C484, (q31_t)0x86D5C802, (q31_t)0x2944A7A2, + (q31_t)0x86B583EE, (q31_t)0x28E5714A, (q31_t)0x86958AAB, + (q31_t)0x288621B9, (q31_t)0x8675DC4E, (q31_t)0x2826B928, + (q31_t)0x865678EA, (q31_t)0x27C737D2, (q31_t)0x86376092, + (q31_t)0x27679DF4, (q31_t)0x86189359, (q31_t)0x2707EBC6, + (q31_t)0x85FA1152, (q31_t)0x26A82185, (q31_t)0x85DBDA91, + (q31_t)0x26483F6C, (q31_t)0x85BDEF27, (q31_t)0x25E845B5, + (q31_t)0x85A04F28, (q31_t)0x2588349D, (q31_t)0x8582FAA4, + (q31_t)0x25280C5D, (q31_t)0x8565F1B0, (q31_t)0x24C7CD32, + (q31_t)0x8549345C, (q31_t)0x24677757, (q31_t)0x852CC2BA, + (q31_t)0x24070B07, (q31_t)0x85109CDC, (q31_t)0x23A6887E, + (q31_t)0x84F4C2D3, (q31_t)0x2345EFF7, (q31_t)0x84D934B0, + (q31_t)0x22E541AE, (q31_t)0x84BDF285, (q31_t)0x22847DDF, + (q31_t)0x84A2FC62, (q31_t)0x2223A4C5, (q31_t)0x84885257, + (q31_t)0x21C2B69C, (q31_t)0x846DF476, (q31_t)0x2161B39F, + (q31_t)0x8453E2CE, (q31_t)0x21009C0B, (q31_t)0x843A1D70, + (q31_t)0x209F701C, (q31_t)0x8420A46B, (q31_t)0x203E300D, + (q31_t)0x840777CF, (q31_t)0x1FDCDC1A, (q31_t)0x83EE97AC, + (q31_t)0x1F7B7480, (q31_t)0x83D60411, (q31_t)0x1F19F97B, + (q31_t)0x83BDBD0D, (q31_t)0x1EB86B46, (q31_t)0x83A5C2B0, + (q31_t)0x1E56CA1E, (q31_t)0x838E1507, (q31_t)0x1DF5163F, + (q31_t)0x8376B422, (q31_t)0x1D934FE5, (q31_t)0x835FA00E, + (q31_t)0x1D31774D, (q31_t)0x8348D8DB, (q31_t)0x1CCF8CB3, + (q31_t)0x83325E97, (q31_t)0x1C6D9053, (q31_t)0x831C314E, + (q31_t)0x1C0B826A, (q31_t)0x8306510F, (q31_t)0x1BA96334, + (q31_t)0x82F0BDE8, (q31_t)0x1B4732EF, (q31_t)0x82DB77E5, + (q31_t)0x1AE4F1D6, (q31_t)0x82C67F13, (q31_t)0x1A82A025, + (q31_t)0x82B1D381, (q31_t)0x1A203E1B, (q31_t)0x829D753A, + (q31_t)0x19BDCBF2, (q31_t)0x8289644A, (q31_t)0x195B49E9, + (q31_t)0x8275A0C0, (q31_t)0x18F8B83C, (q31_t)0x82622AA5, + (q31_t)0x18961727, (q31_t)0x824F0208, (q31_t)0x183366E8, + (q31_t)0x823C26F2, (q31_t)0x17D0A7BB, (q31_t)0x82299971, + (q31_t)0x176DD9DE, (q31_t)0x8217598F, (q31_t)0x170AFD8D, + (q31_t)0x82056758, (q31_t)0x16A81305, (q31_t)0x81F3C2D7, + (q31_t)0x16451A83, (q31_t)0x81E26C16, (q31_t)0x15E21444, + (q31_t)0x81D16320, (q31_t)0x157F0086, (q31_t)0x81C0A801, + (q31_t)0x151BDF85, (q31_t)0x81B03AC1, (q31_t)0x14B8B17F, + (q31_t)0x81A01B6C, (q31_t)0x145576B1, (q31_t)0x81904A0C, + (q31_t)0x13F22F57, (q31_t)0x8180C6A9, (q31_t)0x138EDBB0, + (q31_t)0x8171914E, (q31_t)0x132B7BF9, (q31_t)0x8162AA03, + (q31_t)0x12C8106E, (q31_t)0x815410D3, (q31_t)0x1264994E, + (q31_t)0x8145C5C6, (q31_t)0x120116D4, (q31_t)0x8137C8E6, + (q31_t)0x119D8940, (q31_t)0x812A1A39, (q31_t)0x1139F0CE, + (q31_t)0x811CB9CA, (q31_t)0x10D64DBC, (q31_t)0x810FA7A0, + (q31_t)0x1072A047, (q31_t)0x8102E3C3, (q31_t)0x100EE8AD, + (q31_t)0x80F66E3C, (q31_t)0x0FAB272B, (q31_t)0x80EA4712, + (q31_t)0x0F475BFE, (q31_t)0x80DE6E4C, (q31_t)0x0EE38765, + (q31_t)0x80D2E3F1, (q31_t)0x0E7FA99D, (q31_t)0x80C7A80A, + (q31_t)0x0E1BC2E3, (q31_t)0x80BCBA9C, (q31_t)0x0DB7D376, + (q31_t)0x80B21BAF, (q31_t)0x0D53DB92, (q31_t)0x80A7CB49, + (q31_t)0x0CEFDB75, (q31_t)0x809DC970, (q31_t)0x0C8BD35E, + (q31_t)0x8094162B, (q31_t)0x0C27C389, (q31_t)0x808AB180, + (q31_t)0x0BC3AC35, (q31_t)0x80819B74, (q31_t)0x0B5F8D9F, + (q31_t)0x8078D40D, (q31_t)0x0AFB6805, (q31_t)0x80705B50, + (q31_t)0x0A973BA5, (q31_t)0x80683143, (q31_t)0x0A3308BC, + (q31_t)0x806055EA, (q31_t)0x09CECF89, (q31_t)0x8058C94C, + (q31_t)0x096A9049, (q31_t)0x80518B6B, (q31_t)0x09064B3A, + (q31_t)0x804A9C4D, (q31_t)0x08A2009A, (q31_t)0x8043FBF6, + (q31_t)0x083DB0A7, (q31_t)0x803DAA69, (q31_t)0x07D95B9E, + (q31_t)0x8037A7AC, (q31_t)0x077501BE, (q31_t)0x8031F3C1, + (q31_t)0x0710A344, (q31_t)0x802C8EAD, (q31_t)0x06AC406F, + (q31_t)0x80277872, (q31_t)0x0647D97C, (q31_t)0x8022B113, + (q31_t)0x05E36EA9, (q31_t)0x801E3894, (q31_t)0x057F0034, + (q31_t)0x801A0EF7, (q31_t)0x051A8E5C, (q31_t)0x80163440, + (q31_t)0x04B6195D, (q31_t)0x8012A86F, (q31_t)0x0451A176, + (q31_t)0x800F6B88, (q31_t)0x03ED26E6, (q31_t)0x800C7D8C, + (q31_t)0x0388A9E9, (q31_t)0x8009DE7D, (q31_t)0x03242ABF, + (q31_t)0x80078E5E, (q31_t)0x02BFA9A4, (q31_t)0x80058D2E, + (q31_t)0x025B26D7, (q31_t)0x8003DAF0, (q31_t)0x01F6A296, + (q31_t)0x800277A5, (q31_t)0x01921D1F, (q31_t)0x8001634D, + (q31_t)0x012D96B0, (q31_t)0x80009DE9, (q31_t)0x00C90F88, + (q31_t)0x8000277A, (q31_t)0x006487E3, (q31_t)0x80000000, + (q31_t)0x00000000, (q31_t)0x8000277A, (q31_t)0xFF9B781D, + (q31_t)0x80009DE9, (q31_t)0xFF36F078, (q31_t)0x8001634D, + (q31_t)0xFED2694F, (q31_t)0x800277A5, (q31_t)0xFE6DE2E0, + (q31_t)0x8003DAF0, (q31_t)0xFE095D69, (q31_t)0x80058D2E, + (q31_t)0xFDA4D928, (q31_t)0x80078E5E, (q31_t)0xFD40565B, + (q31_t)0x8009DE7D, (q31_t)0xFCDBD541, (q31_t)0x800C7D8C, + (q31_t)0xFC775616, (q31_t)0x800F6B88, (q31_t)0xFC12D919, + (q31_t)0x8012A86F, (q31_t)0xFBAE5E89, (q31_t)0x80163440, + (q31_t)0xFB49E6A2, (q31_t)0x801A0EF7, (q31_t)0xFAE571A4, + (q31_t)0x801E3894, (q31_t)0xFA80FFCB, (q31_t)0x8022B113, + (q31_t)0xFA1C9156, (q31_t)0x80277872, (q31_t)0xF9B82683, + (q31_t)0x802C8EAD, (q31_t)0xF953BF90, (q31_t)0x8031F3C1, + (q31_t)0xF8EF5CBB, (q31_t)0x8037A7AC, (q31_t)0xF88AFE41, + (q31_t)0x803DAA69, (q31_t)0xF826A461, (q31_t)0x8043FBF6, + (q31_t)0xF7C24F58, (q31_t)0x804A9C4D, (q31_t)0xF75DFF65, + (q31_t)0x80518B6B, (q31_t)0xF6F9B4C5, (q31_t)0x8058C94C, + (q31_t)0xF6956FB6, (q31_t)0x806055EA, (q31_t)0xF6313076, + (q31_t)0x80683143, (q31_t)0xF5CCF743, (q31_t)0x80705B50, + (q31_t)0xF568C45A, (q31_t)0x8078D40D, (q31_t)0xF50497FA, + (q31_t)0x80819B74, (q31_t)0xF4A07260, (q31_t)0x808AB180, + (q31_t)0xF43C53CA, (q31_t)0x8094162B, (q31_t)0xF3D83C76, + (q31_t)0x809DC970, (q31_t)0xF3742CA1, (q31_t)0x80A7CB49, + (q31_t)0xF310248A, (q31_t)0x80B21BAF, (q31_t)0xF2AC246D, + (q31_t)0x80BCBA9C, (q31_t)0xF2482C89, (q31_t)0x80C7A80A, + (q31_t)0xF1E43D1C, (q31_t)0x80D2E3F1, (q31_t)0xF1805662, + (q31_t)0x80DE6E4C, (q31_t)0xF11C789A, (q31_t)0x80EA4712, + (q31_t)0xF0B8A401, (q31_t)0x80F66E3C, (q31_t)0xF054D8D4, + (q31_t)0x8102E3C3, (q31_t)0xEFF11752, (q31_t)0x810FA7A0, + (q31_t)0xEF8D5FB8, (q31_t)0x811CB9CA, (q31_t)0xEF29B243, + (q31_t)0x812A1A39, (q31_t)0xEEC60F31, (q31_t)0x8137C8E6, + (q31_t)0xEE6276BF, (q31_t)0x8145C5C6, (q31_t)0xEDFEE92B, + (q31_t)0x815410D3, (q31_t)0xED9B66B2, (q31_t)0x8162AA03, + (q31_t)0xED37EF91, (q31_t)0x8171914E, (q31_t)0xECD48406, + (q31_t)0x8180C6A9, (q31_t)0xEC71244F, (q31_t)0x81904A0C, + (q31_t)0xEC0DD0A8, (q31_t)0x81A01B6C, (q31_t)0xEBAA894E, + (q31_t)0x81B03AC1, (q31_t)0xEB474E80, (q31_t)0x81C0A801, + (q31_t)0xEAE4207A, (q31_t)0x81D16320, (q31_t)0xEA80FF79, + (q31_t)0x81E26C16, (q31_t)0xEA1DEBBB, (q31_t)0x81F3C2D7, + (q31_t)0xE9BAE57C, (q31_t)0x82056758, (q31_t)0xE957ECFB, + (q31_t)0x8217598F, (q31_t)0xE8F50273, (q31_t)0x82299971, + (q31_t)0xE8922621, (q31_t)0x823C26F2, (q31_t)0xE82F5844, + (q31_t)0x824F0208, (q31_t)0xE7CC9917, (q31_t)0x82622AA5, + (q31_t)0xE769E8D8, (q31_t)0x8275A0C0, (q31_t)0xE70747C3, + (q31_t)0x8289644A, (q31_t)0xE6A4B616, (q31_t)0x829D753A, + (q31_t)0xE642340D, (q31_t)0x82B1D381, (q31_t)0xE5DFC1E4, + (q31_t)0x82C67F13, (q31_t)0xE57D5FDA, (q31_t)0x82DB77E5, + (q31_t)0xE51B0E2A, (q31_t)0x82F0BDE8, (q31_t)0xE4B8CD10, + (q31_t)0x8306510F, (q31_t)0xE4569CCB, (q31_t)0x831C314E, + (q31_t)0xE3F47D95, (q31_t)0x83325E97, (q31_t)0xE3926FAC, + (q31_t)0x8348D8DB, (q31_t)0xE330734C, (q31_t)0x835FA00E, + (q31_t)0xE2CE88B2, (q31_t)0x8376B422, (q31_t)0xE26CB01A, + (q31_t)0x838E1507, (q31_t)0xE20AE9C1, (q31_t)0x83A5C2B0, + (q31_t)0xE1A935E1, (q31_t)0x83BDBD0D, (q31_t)0xE14794B9, + (q31_t)0x83D60411, (q31_t)0xE0E60684, (q31_t)0x83EE97AC, + (q31_t)0xE0848B7F, (q31_t)0x840777CF, (q31_t)0xE02323E5, + (q31_t)0x8420A46B, (q31_t)0xDFC1CFF2, (q31_t)0x843A1D70, + (q31_t)0xDF608FE3, (q31_t)0x8453E2CE, (q31_t)0xDEFF63F4, + (q31_t)0x846DF476, (q31_t)0xDE9E4C60, (q31_t)0x84885257, + (q31_t)0xDE3D4963, (q31_t)0x84A2FC62, (q31_t)0xDDDC5B3A, + (q31_t)0x84BDF285, (q31_t)0xDD7B8220, (q31_t)0x84D934B0, + (q31_t)0xDD1ABE51, (q31_t)0x84F4C2D3, (q31_t)0xDCBA1008, + (q31_t)0x85109CDC, (q31_t)0xDC597781, (q31_t)0x852CC2BA, + (q31_t)0xDBF8F4F8, (q31_t)0x8549345C, (q31_t)0xDB9888A8, + (q31_t)0x8565F1B0, (q31_t)0xDB3832CD, (q31_t)0x8582FAA4, + (q31_t)0xDAD7F3A2, (q31_t)0x85A04F28, (q31_t)0xDA77CB62, + (q31_t)0x85BDEF27, (q31_t)0xDA17BA4A, (q31_t)0x85DBDA91, + (q31_t)0xD9B7C093, (q31_t)0x85FA1152, (q31_t)0xD957DE7A, + (q31_t)0x86189359, (q31_t)0xD8F81439, (q31_t)0x86376092, + (q31_t)0xD898620C, (q31_t)0x865678EA, (q31_t)0xD838C82D, + (q31_t)0x8675DC4E, (q31_t)0xD7D946D7, (q31_t)0x86958AAB, + (q31_t)0xD779DE46, (q31_t)0x86B583EE, (q31_t)0xD71A8EB5, + (q31_t)0x86D5C802, (q31_t)0xD6BB585D, (q31_t)0x86F656D3, + (q31_t)0xD65C3B7B, (q31_t)0x8717304E, (q31_t)0xD5FD3847, + (q31_t)0x8738545E, (q31_t)0xD59E4EFE, (q31_t)0x8759C2EF, + (q31_t)0xD53F7FDA, (q31_t)0x877B7BEC, (q31_t)0xD4E0CB14, + (q31_t)0x879D7F40, (q31_t)0xD48230E8, (q31_t)0x87BFCCD7, + (q31_t)0xD423B190, (q31_t)0x87E2649B, (q31_t)0xD3C54D46, + (q31_t)0x88054677, (q31_t)0xD3670445, (q31_t)0x88287255, + (q31_t)0xD308D6C6, (q31_t)0x884BE820, (q31_t)0xD2AAC504, + (q31_t)0x886FA7C2, (q31_t)0xD24CCF38, (q31_t)0x8893B124, + (q31_t)0xD1EEF59E, (q31_t)0x88B80431, (q31_t)0xD191386D, + (q31_t)0x88DCA0D3, (q31_t)0xD13397E1, (q31_t)0x890186F1, + (q31_t)0xD0D61433, (q31_t)0x8926B677, (q31_t)0xD078AD9D, + (q31_t)0x894C2F4C, (q31_t)0xD01B6459, (q31_t)0x8971F15A, + (q31_t)0xCFBE389F, (q31_t)0x8997FC89, (q31_t)0xCF612AAA, + (q31_t)0x89BE50C3, (q31_t)0xCF043AB2, (q31_t)0x89E4EDEE, + (q31_t)0xCEA768F2, (q31_t)0x8A0BD3F5, (q31_t)0xCE4AB5A2, + (q31_t)0x8A3302BD, (q31_t)0xCDEE20FC, (q31_t)0x8A5A7A30, + (q31_t)0xCD91AB38, (q31_t)0x8A823A35, (q31_t)0xCD355490, + (q31_t)0x8AAA42B4, (q31_t)0xCCD91D3D, (q31_t)0x8AD29393, + (q31_t)0xCC7D0577, (q31_t)0x8AFB2CBA, (q31_t)0xCC210D78, + (q31_t)0x8B240E10, (q31_t)0xCBC53578, (q31_t)0x8B4D377C, + (q31_t)0xCB697DB0, (q31_t)0x8B76A8E4, (q31_t)0xCB0DE658, + (q31_t)0x8BA0622F, (q31_t)0xCAB26FA9, (q31_t)0x8BCA6342, + (q31_t)0xCA5719DB, (q31_t)0x8BF4AC05, (q31_t)0xC9FBE527, + (q31_t)0x8C1F3C5C, (q31_t)0xC9A0D1C4, (q31_t)0x8C4A142F, + (q31_t)0xC945DFEC, (q31_t)0x8C753361, (q31_t)0xC8EB0FD6, + (q31_t)0x8CA099D9, (q31_t)0xC89061BA, (q31_t)0x8CCC477D, + (q31_t)0xC835D5D0, (q31_t)0x8CF83C30, (q31_t)0xC7DB6C50, + (q31_t)0x8D2477D8, (q31_t)0xC7812571, (q31_t)0x8D50FA59, + (q31_t)0xC727016C, (q31_t)0x8D7DC399, (q31_t)0xC6CD0079, + (q31_t)0x8DAAD37B, (q31_t)0xC67322CD, (q31_t)0x8DD829E4, + (q31_t)0xC61968A2, (q31_t)0x8E05C6B7, (q31_t)0xC5BFD22E, + (q31_t)0x8E33A9D9, (q31_t)0xC5665FA8, (q31_t)0x8E61D32D, + (q31_t)0xC50D1148, (q31_t)0x8E904298, (q31_t)0xC4B3E746, + (q31_t)0x8EBEF7FB, (q31_t)0xC45AE1D7, (q31_t)0x8EEDF33B, + (q31_t)0xC4020132, (q31_t)0x8F1D343A, (q31_t)0xC3A9458F, + (q31_t)0x8F4CBADB, (q31_t)0xC350AF25, (q31_t)0x8F7C8701, + (q31_t)0xC2F83E2A, (q31_t)0x8FAC988E, (q31_t)0xC29FF2D4, + (q31_t)0x8FDCEF66, (q31_t)0xC247CD5A, (q31_t)0x900D8B69, + (q31_t)0xC1EFCDF2, (q31_t)0x903E6C7A, (q31_t)0xC197F4D3, + (q31_t)0x906F927B, (q31_t)0xC1404233, (q31_t)0x90A0FD4E, + (q31_t)0xC0E8B648, (q31_t)0x90D2ACD3, (q31_t)0xC0915147, + (q31_t)0x9104A0ED, (q31_t)0xC03A1368, (q31_t)0x9136D97D, + (q31_t)0xBFE2FCDF, (q31_t)0x91695663, (q31_t)0xBF8C0DE2, + (q31_t)0x919C1780, (q31_t)0xBF3546A8, (q31_t)0x91CF1CB6, + (q31_t)0xBEDEA765, (q31_t)0x920265E4, (q31_t)0xBE88304F, + (q31_t)0x9235F2EB, (q31_t)0xBE31E19B, (q31_t)0x9269C3AC, + (q31_t)0xBDDBBB7F, (q31_t)0x929DD805, (q31_t)0xBD85BE2F, + (q31_t)0x92D22FD8, (q31_t)0xBD2FE9E1, (q31_t)0x9306CB04, + (q31_t)0xBCDA3ECA, (q31_t)0x933BA968, (q31_t)0xBC84BD1E, + (q31_t)0x9370CAE4, (q31_t)0xBC2F6513, (q31_t)0x93A62F56, + (q31_t)0xBBDA36DC, (q31_t)0x93DBD69F, (q31_t)0xBB8532AF, + (q31_t)0x9411C09D, (q31_t)0xBB3058C0, (q31_t)0x9447ED2F, + (q31_t)0xBADBA943, (q31_t)0x947E5C32, (q31_t)0xBA87246C, + (q31_t)0x94B50D87, (q31_t)0xBA32CA70, (q31_t)0x94EC010B, + (q31_t)0xB9DE9B83, (q31_t)0x9523369B, (q31_t)0xB98A97D8, + (q31_t)0x955AAE17, (q31_t)0xB936BFA3, (q31_t)0x9592675B, + (q31_t)0xB8E31319, (q31_t)0x95CA6246, (q31_t)0xB88F926C, + (q31_t)0x96029EB5, (q31_t)0xB83C3DD1, (q31_t)0x963B1C85, + (q31_t)0xB7E9157A, (q31_t)0x9673DB94, (q31_t)0xB796199B, + (q31_t)0x96ACDBBD, (q31_t)0xB7434A67, (q31_t)0x96E61CDF, + (q31_t)0xB6F0A811, (q31_t)0x971F9ED6, (q31_t)0xB69E32CD, + (q31_t)0x9759617E, (q31_t)0xB64BEACC, (q31_t)0x979364B5, + (q31_t)0xB5F9D042, (q31_t)0x97CDA855, (q31_t)0xB5A7E362, + (q31_t)0x98082C3B, (q31_t)0xB556245E, (q31_t)0x9842F043, + (q31_t)0xB5049368, (q31_t)0x987DF449, (q31_t)0xB4B330B2, + (q31_t)0x98B93828, (q31_t)0xB461FC70, (q31_t)0x98F4BBBC, + (q31_t)0xB410F6D2, (q31_t)0x99307EE0, (q31_t)0xB3C0200C, + (q31_t)0x996C816F, (q31_t)0xB36F784E, (q31_t)0x99A8C344, + (q31_t)0xB31EFFCB, (q31_t)0x99E5443A, (q31_t)0xB2CEB6B5, + (q31_t)0x9A22042C, (q31_t)0xB27E9D3B, (q31_t)0x9A5F02F5, + (q31_t)0xB22EB392, (q31_t)0x9A9C406D, (q31_t)0xB1DEF9E8, + (q31_t)0x9AD9BC71, (q31_t)0xB18F7070, (q31_t)0x9B1776D9, + (q31_t)0xB140175B, (q31_t)0x9B556F80, (q31_t)0xB0F0EEDA, + (q31_t)0x9B93A640, (q31_t)0xB0A1F71C, (q31_t)0x9BD21AF2, + (q31_t)0xB0533055, (q31_t)0x9C10CD70, (q31_t)0xB0049AB2, + (q31_t)0x9C4FBD92, (q31_t)0xAFB63667, (q31_t)0x9C8EEB33, + (q31_t)0xAF6803A1, (q31_t)0x9CCE562B, (q31_t)0xAF1A0293, + (q31_t)0x9D0DFE53, (q31_t)0xAECC336B, (q31_t)0x9D4DE384, + (q31_t)0xAE7E965B, (q31_t)0x9D8E0596, (q31_t)0xAE312B91, + (q31_t)0x9DCE6462, (q31_t)0xADE3F33E, (q31_t)0x9E0EFFC1, + (q31_t)0xAD96ED91, (q31_t)0x9E4FD789, (q31_t)0xAD4A1ABA, + (q31_t)0x9E90EB94, (q31_t)0xACFD7AE8, (q31_t)0x9ED23BB9, + (q31_t)0xACB10E4A, (q31_t)0x9F13C7D0, (q31_t)0xAC64D510, + (q31_t)0x9F558FB0, (q31_t)0xAC18CF68, (q31_t)0x9F979331, + (q31_t)0xABCCFD82, (q31_t)0x9FD9D22A, (q31_t)0xAB815F8C, + (q31_t)0xA01C4C72, (q31_t)0xAB35F5B5, (q31_t)0xA05F01E1, + (q31_t)0xAAEAC02B, (q31_t)0xA0A1F24C, (q31_t)0xAA9FBF1D, + (q31_t)0xA0E51D8C, (q31_t)0xAA54F2B9, (q31_t)0xA1288376, + (q31_t)0xAA0A5B2D, (q31_t)0xA16C23E1, (q31_t)0xA9BFF8A8, + (q31_t)0xA1AFFEA2, (q31_t)0xA975CB56, (q31_t)0xA1F41391, + (q31_t)0xA92BD366, (q31_t)0xA2386283, (q31_t)0xA8E21106, + (q31_t)0xA27CEB4F, (q31_t)0xA8988463, (q31_t)0xA2C1ADC9, + (q31_t)0xA84F2DA9, (q31_t)0xA306A9C7, (q31_t)0xA8060D08, + (q31_t)0xA34BDF20, (q31_t)0xA7BD22AB, (q31_t)0xA3914DA7, + (q31_t)0xA7746EC0, (q31_t)0xA3D6F533, (q31_t)0xA72BF173, + (q31_t)0xA41CD598, (q31_t)0xA6E3AAF2, (q31_t)0xA462EEAC, + (q31_t)0xA69B9B68, (q31_t)0xA4A94042, (q31_t)0xA653C302, + (q31_t)0xA4EFCA31, (q31_t)0xA60C21ED, (q31_t)0xA5368C4B, + (q31_t)0xA5C4B855, (q31_t)0xA57D8666, (q31_t)0xA57D8666, + (q31_t)0xA5C4B855, (q31_t)0xA5368C4B, (q31_t)0xA60C21ED, + (q31_t)0xA4EFCA31, (q31_t)0xA653C302, (q31_t)0xA4A94042, + (q31_t)0xA69B9B68, (q31_t)0xA462EEAC, (q31_t)0xA6E3AAF2, + (q31_t)0xA41CD598, (q31_t)0xA72BF173, (q31_t)0xA3D6F533, + (q31_t)0xA7746EC0, (q31_t)0xA3914DA7, (q31_t)0xA7BD22AB, + (q31_t)0xA34BDF20, (q31_t)0xA8060D08, (q31_t)0xA306A9C7, + (q31_t)0xA84F2DA9, (q31_t)0xA2C1ADC9, (q31_t)0xA8988463, + (q31_t)0xA27CEB4F, (q31_t)0xA8E21106, (q31_t)0xA2386283, + (q31_t)0xA92BD366, (q31_t)0xA1F41391, (q31_t)0xA975CB56, + (q31_t)0xA1AFFEA2, (q31_t)0xA9BFF8A8, (q31_t)0xA16C23E1, + (q31_t)0xAA0A5B2D, (q31_t)0xA1288376, (q31_t)0xAA54F2B9, + (q31_t)0xA0E51D8C, (q31_t)0xAA9FBF1D, (q31_t)0xA0A1F24C, + (q31_t)0xAAEAC02B, (q31_t)0xA05F01E1, (q31_t)0xAB35F5B5, + (q31_t)0xA01C4C72, (q31_t)0xAB815F8C, (q31_t)0x9FD9D22A, + (q31_t)0xABCCFD82, (q31_t)0x9F979331, (q31_t)0xAC18CF68, + (q31_t)0x9F558FB0, (q31_t)0xAC64D510, (q31_t)0x9F13C7D0, + (q31_t)0xACB10E4A, (q31_t)0x9ED23BB9, (q31_t)0xACFD7AE8, + (q31_t)0x9E90EB94, (q31_t)0xAD4A1ABA, (q31_t)0x9E4FD789, + (q31_t)0xAD96ED91, (q31_t)0x9E0EFFC1, (q31_t)0xADE3F33E, + (q31_t)0x9DCE6462, (q31_t)0xAE312B91, (q31_t)0x9D8E0596, + (q31_t)0xAE7E965B, (q31_t)0x9D4DE384, (q31_t)0xAECC336B, + (q31_t)0x9D0DFE53, (q31_t)0xAF1A0293, (q31_t)0x9CCE562B, + (q31_t)0xAF6803A1, (q31_t)0x9C8EEB33, (q31_t)0xAFB63667, + (q31_t)0x9C4FBD92, (q31_t)0xB0049AB2, (q31_t)0x9C10CD70, + (q31_t)0xB0533055, (q31_t)0x9BD21AF2, (q31_t)0xB0A1F71C, + (q31_t)0x9B93A640, (q31_t)0xB0F0EEDA, (q31_t)0x9B556F80, + (q31_t)0xB140175B, (q31_t)0x9B1776D9, (q31_t)0xB18F7070, + (q31_t)0x9AD9BC71, (q31_t)0xB1DEF9E8, (q31_t)0x9A9C406D, + (q31_t)0xB22EB392, (q31_t)0x9A5F02F5, (q31_t)0xB27E9D3B, + (q31_t)0x9A22042C, (q31_t)0xB2CEB6B5, (q31_t)0x99E5443A, + (q31_t)0xB31EFFCB, (q31_t)0x99A8C344, (q31_t)0xB36F784E, + (q31_t)0x996C816F, (q31_t)0xB3C0200C, (q31_t)0x99307EE0, + (q31_t)0xB410F6D2, (q31_t)0x98F4BBBC, (q31_t)0xB461FC70, + (q31_t)0x98B93828, (q31_t)0xB4B330B2, (q31_t)0x987DF449, + (q31_t)0xB5049368, (q31_t)0x9842F043, (q31_t)0xB556245E, + (q31_t)0x98082C3B, (q31_t)0xB5A7E362, (q31_t)0x97CDA855, + (q31_t)0xB5F9D042, (q31_t)0x979364B5, (q31_t)0xB64BEACC, + (q31_t)0x9759617E, (q31_t)0xB69E32CD, (q31_t)0x971F9ED6, + (q31_t)0xB6F0A811, (q31_t)0x96E61CDF, (q31_t)0xB7434A67, + (q31_t)0x96ACDBBD, (q31_t)0xB796199B, (q31_t)0x9673DB94, + (q31_t)0xB7E9157A, (q31_t)0x963B1C85, (q31_t)0xB83C3DD1, + (q31_t)0x96029EB5, (q31_t)0xB88F926C, (q31_t)0x95CA6246, + (q31_t)0xB8E31319, (q31_t)0x9592675B, (q31_t)0xB936BFA3, + (q31_t)0x955AAE17, (q31_t)0xB98A97D8, (q31_t)0x9523369B, + (q31_t)0xB9DE9B83, (q31_t)0x94EC010B, (q31_t)0xBA32CA70, + (q31_t)0x94B50D87, (q31_t)0xBA87246C, (q31_t)0x947E5C32, + (q31_t)0xBADBA943, (q31_t)0x9447ED2F, (q31_t)0xBB3058C0, + (q31_t)0x9411C09D, (q31_t)0xBB8532AF, (q31_t)0x93DBD69F, + (q31_t)0xBBDA36DC, (q31_t)0x93A62F56, (q31_t)0xBC2F6513, + (q31_t)0x9370CAE4, (q31_t)0xBC84BD1E, (q31_t)0x933BA968, + (q31_t)0xBCDA3ECA, (q31_t)0x9306CB04, (q31_t)0xBD2FE9E1, + (q31_t)0x92D22FD8, (q31_t)0xBD85BE2F, (q31_t)0x929DD805, + (q31_t)0xBDDBBB7F, (q31_t)0x9269C3AC, (q31_t)0xBE31E19B, + (q31_t)0x9235F2EB, (q31_t)0xBE88304F, (q31_t)0x920265E4, + (q31_t)0xBEDEA765, (q31_t)0x91CF1CB6, (q31_t)0xBF3546A8, + (q31_t)0x919C1780, (q31_t)0xBF8C0DE2, (q31_t)0x91695663, + (q31_t)0xBFE2FCDF, (q31_t)0x9136D97D, (q31_t)0xC03A1368, + (q31_t)0x9104A0ED, (q31_t)0xC0915147, (q31_t)0x90D2ACD3, + (q31_t)0xC0E8B648, (q31_t)0x90A0FD4E, (q31_t)0xC1404233, + (q31_t)0x906F927B, (q31_t)0xC197F4D3, (q31_t)0x903E6C7A, + (q31_t)0xC1EFCDF2, (q31_t)0x900D8B69, (q31_t)0xC247CD5A, + (q31_t)0x8FDCEF66, (q31_t)0xC29FF2D4, (q31_t)0x8FAC988E, + (q31_t)0xC2F83E2A, (q31_t)0x8F7C8701, (q31_t)0xC350AF25, + (q31_t)0x8F4CBADB, (q31_t)0xC3A9458F, (q31_t)0x8F1D343A, + (q31_t)0xC4020132, (q31_t)0x8EEDF33B, (q31_t)0xC45AE1D7, + (q31_t)0x8EBEF7FB, (q31_t)0xC4B3E746, (q31_t)0x8E904298, + (q31_t)0xC50D1148, (q31_t)0x8E61D32D, (q31_t)0xC5665FA8, + (q31_t)0x8E33A9D9, (q31_t)0xC5BFD22E, (q31_t)0x8E05C6B7, + (q31_t)0xC61968A2, (q31_t)0x8DD829E4, (q31_t)0xC67322CD, + (q31_t)0x8DAAD37B, (q31_t)0xC6CD0079, (q31_t)0x8D7DC399, + (q31_t)0xC727016C, (q31_t)0x8D50FA59, (q31_t)0xC7812571, + (q31_t)0x8D2477D8, (q31_t)0xC7DB6C50, (q31_t)0x8CF83C30, + (q31_t)0xC835D5D0, (q31_t)0x8CCC477D, (q31_t)0xC89061BA, + (q31_t)0x8CA099D9, (q31_t)0xC8EB0FD6, (q31_t)0x8C753361, + (q31_t)0xC945DFEC, (q31_t)0x8C4A142F, (q31_t)0xC9A0D1C4, + (q31_t)0x8C1F3C5C, (q31_t)0xC9FBE527, (q31_t)0x8BF4AC05, + (q31_t)0xCA5719DB, (q31_t)0x8BCA6342, (q31_t)0xCAB26FA9, + (q31_t)0x8BA0622F, (q31_t)0xCB0DE658, (q31_t)0x8B76A8E4, + (q31_t)0xCB697DB0, (q31_t)0x8B4D377C, (q31_t)0xCBC53578, + (q31_t)0x8B240E10, (q31_t)0xCC210D78, (q31_t)0x8AFB2CBA, + (q31_t)0xCC7D0577, (q31_t)0x8AD29393, (q31_t)0xCCD91D3D, + (q31_t)0x8AAA42B4, (q31_t)0xCD355490, (q31_t)0x8A823A35, + (q31_t)0xCD91AB38, (q31_t)0x8A5A7A30, (q31_t)0xCDEE20FC, + (q31_t)0x8A3302BD, (q31_t)0xCE4AB5A2, (q31_t)0x8A0BD3F5, + (q31_t)0xCEA768F2, (q31_t)0x89E4EDEE, (q31_t)0xCF043AB2, + (q31_t)0x89BE50C3, (q31_t)0xCF612AAA, (q31_t)0x8997FC89, + (q31_t)0xCFBE389F, (q31_t)0x8971F15A, (q31_t)0xD01B6459, + (q31_t)0x894C2F4C, (q31_t)0xD078AD9D, (q31_t)0x8926B677, + (q31_t)0xD0D61433, (q31_t)0x890186F1, (q31_t)0xD13397E1, + (q31_t)0x88DCA0D3, (q31_t)0xD191386D, (q31_t)0x88B80431, + (q31_t)0xD1EEF59E, (q31_t)0x8893B124, (q31_t)0xD24CCF38, + (q31_t)0x886FA7C2, (q31_t)0xD2AAC504, (q31_t)0x884BE820, + (q31_t)0xD308D6C6, (q31_t)0x88287255, (q31_t)0xD3670445, + (q31_t)0x88054677, (q31_t)0xD3C54D46, (q31_t)0x87E2649B, + (q31_t)0xD423B190, (q31_t)0x87BFCCD7, (q31_t)0xD48230E8, + (q31_t)0x879D7F40, (q31_t)0xD4E0CB14, (q31_t)0x877B7BEC, + (q31_t)0xD53F7FDA, (q31_t)0x8759C2EF, (q31_t)0xD59E4EFE, + (q31_t)0x8738545E, (q31_t)0xD5FD3847, (q31_t)0x8717304E, + (q31_t)0xD65C3B7B, (q31_t)0x86F656D3, (q31_t)0xD6BB585D, + (q31_t)0x86D5C802, (q31_t)0xD71A8EB5, (q31_t)0x86B583EE, + (q31_t)0xD779DE46, (q31_t)0x86958AAB, (q31_t)0xD7D946D7, + (q31_t)0x8675DC4E, (q31_t)0xD838C82D, (q31_t)0x865678EA, + (q31_t)0xD898620C, (q31_t)0x86376092, (q31_t)0xD8F81439, + (q31_t)0x86189359, (q31_t)0xD957DE7A, (q31_t)0x85FA1152, + (q31_t)0xD9B7C093, (q31_t)0x85DBDA91, (q31_t)0xDA17BA4A, + (q31_t)0x85BDEF27, (q31_t)0xDA77CB62, (q31_t)0x85A04F28, + (q31_t)0xDAD7F3A2, (q31_t)0x8582FAA4, (q31_t)0xDB3832CD, + (q31_t)0x8565F1B0, (q31_t)0xDB9888A8, (q31_t)0x8549345C, + (q31_t)0xDBF8F4F8, (q31_t)0x852CC2BA, (q31_t)0xDC597781, + (q31_t)0x85109CDC, (q31_t)0xDCBA1008, (q31_t)0x84F4C2D3, + (q31_t)0xDD1ABE51, (q31_t)0x84D934B0, (q31_t)0xDD7B8220, + (q31_t)0x84BDF285, (q31_t)0xDDDC5B3A, (q31_t)0x84A2FC62, + (q31_t)0xDE3D4963, (q31_t)0x84885257, (q31_t)0xDE9E4C60, + (q31_t)0x846DF476, (q31_t)0xDEFF63F4, (q31_t)0x8453E2CE, + (q31_t)0xDF608FE3, (q31_t)0x843A1D70, (q31_t)0xDFC1CFF2, + (q31_t)0x8420A46B, (q31_t)0xE02323E5, (q31_t)0x840777CF, + (q31_t)0xE0848B7F, (q31_t)0x83EE97AC, (q31_t)0xE0E60684, + (q31_t)0x83D60411, (q31_t)0xE14794B9, (q31_t)0x83BDBD0D, + (q31_t)0xE1A935E1, (q31_t)0x83A5C2B0, (q31_t)0xE20AE9C1, + (q31_t)0x838E1507, (q31_t)0xE26CB01A, (q31_t)0x8376B422, + (q31_t)0xE2CE88B2, (q31_t)0x835FA00E, (q31_t)0xE330734C, + (q31_t)0x8348D8DB, (q31_t)0xE3926FAC, (q31_t)0x83325E97, + (q31_t)0xE3F47D95, (q31_t)0x831C314E, (q31_t)0xE4569CCB, + (q31_t)0x8306510F, (q31_t)0xE4B8CD10, (q31_t)0x82F0BDE8, + (q31_t)0xE51B0E2A, (q31_t)0x82DB77E5, (q31_t)0xE57D5FDA, + (q31_t)0x82C67F13, (q31_t)0xE5DFC1E4, (q31_t)0x82B1D381, + (q31_t)0xE642340D, (q31_t)0x829D753A, (q31_t)0xE6A4B616, + (q31_t)0x8289644A, (q31_t)0xE70747C3, (q31_t)0x8275A0C0, + (q31_t)0xE769E8D8, (q31_t)0x82622AA5, (q31_t)0xE7CC9917, + (q31_t)0x824F0208, (q31_t)0xE82F5844, (q31_t)0x823C26F2, + (q31_t)0xE8922621, (q31_t)0x82299971, (q31_t)0xE8F50273, + (q31_t)0x8217598F, (q31_t)0xE957ECFB, (q31_t)0x82056758, + (q31_t)0xE9BAE57C, (q31_t)0x81F3C2D7, (q31_t)0xEA1DEBBB, + (q31_t)0x81E26C16, (q31_t)0xEA80FF79, (q31_t)0x81D16320, + (q31_t)0xEAE4207A, (q31_t)0x81C0A801, (q31_t)0xEB474E80, + (q31_t)0x81B03AC1, (q31_t)0xEBAA894E, (q31_t)0x81A01B6C, + (q31_t)0xEC0DD0A8, (q31_t)0x81904A0C, (q31_t)0xEC71244F, + (q31_t)0x8180C6A9, (q31_t)0xECD48406, (q31_t)0x8171914E, + (q31_t)0xED37EF91, (q31_t)0x8162AA03, (q31_t)0xED9B66B2, + (q31_t)0x815410D3, (q31_t)0xEDFEE92B, (q31_t)0x8145C5C6, + (q31_t)0xEE6276BF, (q31_t)0x8137C8E6, (q31_t)0xEEC60F31, + (q31_t)0x812A1A39, (q31_t)0xEF29B243, (q31_t)0x811CB9CA, + (q31_t)0xEF8D5FB8, (q31_t)0x810FA7A0, (q31_t)0xEFF11752, + (q31_t)0x8102E3C3, (q31_t)0xF054D8D4, (q31_t)0x80F66E3C, + (q31_t)0xF0B8A401, (q31_t)0x80EA4712, (q31_t)0xF11C789A, + (q31_t)0x80DE6E4C, (q31_t)0xF1805662, (q31_t)0x80D2E3F1, + (q31_t)0xF1E43D1C, (q31_t)0x80C7A80A, (q31_t)0xF2482C89, + (q31_t)0x80BCBA9C, (q31_t)0xF2AC246D, (q31_t)0x80B21BAF, + (q31_t)0xF310248A, (q31_t)0x80A7CB49, (q31_t)0xF3742CA1, + (q31_t)0x809DC970, (q31_t)0xF3D83C76, (q31_t)0x8094162B, + (q31_t)0xF43C53CA, (q31_t)0x808AB180, (q31_t)0xF4A07260, + (q31_t)0x80819B74, (q31_t)0xF50497FA, (q31_t)0x8078D40D, + (q31_t)0xF568C45A, (q31_t)0x80705B50, (q31_t)0xF5CCF743, + (q31_t)0x80683143, (q31_t)0xF6313076, (q31_t)0x806055EA, + (q31_t)0xF6956FB6, (q31_t)0x8058C94C, (q31_t)0xF6F9B4C5, + (q31_t)0x80518B6B, (q31_t)0xF75DFF65, (q31_t)0x804A9C4D, + (q31_t)0xF7C24F58, (q31_t)0x8043FBF6, (q31_t)0xF826A461, + (q31_t)0x803DAA69, (q31_t)0xF88AFE41, (q31_t)0x8037A7AC, + (q31_t)0xF8EF5CBB, (q31_t)0x8031F3C1, (q31_t)0xF953BF90, + (q31_t)0x802C8EAD, (q31_t)0xF9B82683, (q31_t)0x80277872, + (q31_t)0xFA1C9156, (q31_t)0x8022B113, (q31_t)0xFA80FFCB, + (q31_t)0x801E3894, (q31_t)0xFAE571A4, (q31_t)0x801A0EF7, + (q31_t)0xFB49E6A2, (q31_t)0x80163440, (q31_t)0xFBAE5E89, + (q31_t)0x8012A86F, (q31_t)0xFC12D919, (q31_t)0x800F6B88, + (q31_t)0xFC775616, (q31_t)0x800C7D8C, (q31_t)0xFCDBD541, + (q31_t)0x8009DE7D, (q31_t)0xFD40565B, (q31_t)0x80078E5E, + (q31_t)0xFDA4D928, (q31_t)0x80058D2E, (q31_t)0xFE095D69, + (q31_t)0x8003DAF0, (q31_t)0xFE6DE2E0, (q31_t)0x800277A5, + (q31_t)0xFED2694F, (q31_t)0x8001634D, (q31_t)0xFF36F078, + (q31_t)0x80009DE9, (q31_t)0xFF9B781D, (q31_t)0x8000277A +}; + +/** +* \par +* Example code for Q31 Twiddle factors Generation:: +* \par +*
for(i = 0; i< 3N/4; i++)
+* {
+*    twiddleCoefQ31[2*i]= cos(i * 2*PI/(float)N);
+*    twiddleCoefQ31[2*i+1]= sin(i * 2*PI/(float)N);
+* } 
+* \par +* where N = 4096 and PI = 3.14159265358979 +* \par +* Cos and Sin values are interleaved fashion +* \par +* Convert Floating point to Q31(Fixed point 1.31): +* round(twiddleCoefQ31(i) * pow(2, 31)) +* +*/ +const q31_t twiddleCoef_4096_q31[6144] = +{ + (q31_t)0x7FFFFFFF, (q31_t)0x00000000, (q31_t)0x7FFFF621, + (q31_t)0x003243F5, (q31_t)0x7FFFD885, (q31_t)0x006487E3, + (q31_t)0x7FFFA72C, (q31_t)0x0096CBC1, (q31_t)0x7FFF6216, + (q31_t)0x00C90F88, (q31_t)0x7FFF0942, (q31_t)0x00FB532F, + (q31_t)0x7FFE9CB2, (q31_t)0x012D96B0, (q31_t)0x7FFE1C64, + (q31_t)0x015FDA03, (q31_t)0x7FFD885A, (q31_t)0x01921D1F, + (q31_t)0x7FFCE093, (q31_t)0x01C45FFE, (q31_t)0x7FFC250F, + (q31_t)0x01F6A296, (q31_t)0x7FFB55CE, (q31_t)0x0228E4E1, + (q31_t)0x7FFA72D1, (q31_t)0x025B26D7, (q31_t)0x7FF97C17, + (q31_t)0x028D6870, (q31_t)0x7FF871A1, (q31_t)0x02BFA9A4, + (q31_t)0x7FF7536F, (q31_t)0x02F1EA6B, (q31_t)0x7FF62182, + (q31_t)0x03242ABF, (q31_t)0x7FF4DBD8, (q31_t)0x03566A96, + (q31_t)0x7FF38273, (q31_t)0x0388A9E9, (q31_t)0x7FF21553, + (q31_t)0x03BAE8B1, (q31_t)0x7FF09477, (q31_t)0x03ED26E6, + (q31_t)0x7FEEFFE1, (q31_t)0x041F647F, (q31_t)0x7FED5790, + (q31_t)0x0451A176, (q31_t)0x7FEB9B85, (q31_t)0x0483DDC3, + (q31_t)0x7FE9CBC0, (q31_t)0x04B6195D, (q31_t)0x7FE7E840, + (q31_t)0x04E8543D, (q31_t)0x7FE5F108, (q31_t)0x051A8E5C, + (q31_t)0x7FE3E616, (q31_t)0x054CC7B0, (q31_t)0x7FE1C76B, + (q31_t)0x057F0034, (q31_t)0x7FDF9508, (q31_t)0x05B137DF, + (q31_t)0x7FDD4EEC, (q31_t)0x05E36EA9, (q31_t)0x7FDAF518, + (q31_t)0x0615A48A, (q31_t)0x7FD8878D, (q31_t)0x0647D97C, + (q31_t)0x7FD6064B, (q31_t)0x067A0D75, (q31_t)0x7FD37152, + (q31_t)0x06AC406F, (q31_t)0x7FD0C8A3, (q31_t)0x06DE7261, + (q31_t)0x7FCE0C3E, (q31_t)0x0710A344, (q31_t)0x7FCB3C23, + (q31_t)0x0742D310, (q31_t)0x7FC85853, (q31_t)0x077501BE, + (q31_t)0x7FC560CF, (q31_t)0x07A72F45, (q31_t)0x7FC25596, + (q31_t)0x07D95B9E, (q31_t)0x7FBF36A9, (q31_t)0x080B86C1, + (q31_t)0x7FBC040A, (q31_t)0x083DB0A7, (q31_t)0x7FB8BDB7, + (q31_t)0x086FD947, (q31_t)0x7FB563B2, (q31_t)0x08A2009A, + (q31_t)0x7FB1F5FC, (q31_t)0x08D42698, (q31_t)0x7FAE7494, + (q31_t)0x09064B3A, (q31_t)0x7FAADF7C, (q31_t)0x09386E77, + (q31_t)0x7FA736B4, (q31_t)0x096A9049, (q31_t)0x7FA37A3C, + (q31_t)0x099CB0A7, (q31_t)0x7F9FAA15, (q31_t)0x09CECF89, + (q31_t)0x7F9BC63F, (q31_t)0x0A00ECE8, (q31_t)0x7F97CEBC, + (q31_t)0x0A3308BC, (q31_t)0x7F93C38C, (q31_t)0x0A6522FE, + (q31_t)0x7F8FA4AF, (q31_t)0x0A973BA5, (q31_t)0x7F8B7226, + (q31_t)0x0AC952AA, (q31_t)0x7F872BF3, (q31_t)0x0AFB6805, + (q31_t)0x7F82D214, (q31_t)0x0B2D7BAE, (q31_t)0x7F7E648B, + (q31_t)0x0B5F8D9F, (q31_t)0x7F79E35A, (q31_t)0x0B919DCE, + (q31_t)0x7F754E7F, (q31_t)0x0BC3AC35, (q31_t)0x7F70A5FD, + (q31_t)0x0BF5B8CB, (q31_t)0x7F6BE9D4, (q31_t)0x0C27C389, + (q31_t)0x7F671A04, (q31_t)0x0C59CC67, (q31_t)0x7F62368F, + (q31_t)0x0C8BD35E, (q31_t)0x7F5D3F75, (q31_t)0x0CBDD865, + (q31_t)0x7F5834B6, (q31_t)0x0CEFDB75, (q31_t)0x7F531654, + (q31_t)0x0D21DC87, (q31_t)0x7F4DE450, (q31_t)0x0D53DB92, + (q31_t)0x7F489EAA, (q31_t)0x0D85D88F, (q31_t)0x7F434563, + (q31_t)0x0DB7D376, (q31_t)0x7F3DD87C, (q31_t)0x0DE9CC3F, + (q31_t)0x7F3857F5, (q31_t)0x0E1BC2E3, (q31_t)0x7F32C3D0, + (q31_t)0x0E4DB75B, (q31_t)0x7F2D1C0E, (q31_t)0x0E7FA99D, + (q31_t)0x7F2760AF, (q31_t)0x0EB199A3, (q31_t)0x7F2191B4, + (q31_t)0x0EE38765, (q31_t)0x7F1BAF1E, (q31_t)0x0F1572DC, + (q31_t)0x7F15B8EE, (q31_t)0x0F475BFE, (q31_t)0x7F0FAF24, + (q31_t)0x0F7942C6, (q31_t)0x7F0991C3, (q31_t)0x0FAB272B, + (q31_t)0x7F0360CB, (q31_t)0x0FDD0925, (q31_t)0x7EFD1C3C, + (q31_t)0x100EE8AD, (q31_t)0x7EF6C418, (q31_t)0x1040C5BB, + (q31_t)0x7EF0585F, (q31_t)0x1072A047, (q31_t)0x7EE9D913, + (q31_t)0x10A4784A, (q31_t)0x7EE34635, (q31_t)0x10D64DBC, + (q31_t)0x7EDC9FC6, (q31_t)0x11082096, (q31_t)0x7ED5E5C6, + (q31_t)0x1139F0CE, (q31_t)0x7ECF1837, (q31_t)0x116BBE5F, + (q31_t)0x7EC8371A, (q31_t)0x119D8940, (q31_t)0x7EC1426F, + (q31_t)0x11CF516A, (q31_t)0x7EBA3A39, (q31_t)0x120116D4, + (q31_t)0x7EB31E77, (q31_t)0x1232D978, (q31_t)0x7EABEF2C, + (q31_t)0x1264994E, (q31_t)0x7EA4AC58, (q31_t)0x1296564D, + (q31_t)0x7E9D55FC, (q31_t)0x12C8106E, (q31_t)0x7E95EC19, + (q31_t)0x12F9C7AA, (q31_t)0x7E8E6EB1, (q31_t)0x132B7BF9, + (q31_t)0x7E86DDC5, (q31_t)0x135D2D53, (q31_t)0x7E7F3956, + (q31_t)0x138EDBB0, (q31_t)0x7E778165, (q31_t)0x13C0870A, + (q31_t)0x7E6FB5F3, (q31_t)0x13F22F57, (q31_t)0x7E67D702, + (q31_t)0x1423D492, (q31_t)0x7E5FE493, (q31_t)0x145576B1, + (q31_t)0x7E57DEA6, (q31_t)0x148715AD, (q31_t)0x7E4FC53E, + (q31_t)0x14B8B17F, (q31_t)0x7E47985B, (q31_t)0x14EA4A1F, + (q31_t)0x7E3F57FE, (q31_t)0x151BDF85, (q31_t)0x7E37042A, + (q31_t)0x154D71AA, (q31_t)0x7E2E9CDF, (q31_t)0x157F0086, + (q31_t)0x7E26221E, (q31_t)0x15B08C11, (q31_t)0x7E1D93E9, + (q31_t)0x15E21444, (q31_t)0x7E14F242, (q31_t)0x16139917, + (q31_t)0x7E0C3D29, (q31_t)0x16451A83, (q31_t)0x7E03749F, + (q31_t)0x1676987F, (q31_t)0x7DFA98A7, (q31_t)0x16A81305, + (q31_t)0x7DF1A942, (q31_t)0x16D98A0C, (q31_t)0x7DE8A670, + (q31_t)0x170AFD8D, (q31_t)0x7DDF9034, (q31_t)0x173C6D80, + (q31_t)0x7DD6668E, (q31_t)0x176DD9DE, (q31_t)0x7DCD2981, + (q31_t)0x179F429F, (q31_t)0x7DC3D90D, (q31_t)0x17D0A7BB, + (q31_t)0x7DBA7534, (q31_t)0x1802092C, (q31_t)0x7DB0FDF7, + (q31_t)0x183366E8, (q31_t)0x7DA77359, (q31_t)0x1864C0E9, + (q31_t)0x7D9DD55A, (q31_t)0x18961727, (q31_t)0x7D9423FB, + (q31_t)0x18C7699B, (q31_t)0x7D8A5F3F, (q31_t)0x18F8B83C, + (q31_t)0x7D808727, (q31_t)0x192A0303, (q31_t)0x7D769BB5, + (q31_t)0x195B49E9, (q31_t)0x7D6C9CE9, (q31_t)0x198C8CE6, + (q31_t)0x7D628AC5, (q31_t)0x19BDCBF2, (q31_t)0x7D58654C, + (q31_t)0x19EF0706, (q31_t)0x7D4E2C7E, (q31_t)0x1A203E1B, + (q31_t)0x7D43E05E, (q31_t)0x1A517127, (q31_t)0x7D3980EC, + (q31_t)0x1A82A025, (q31_t)0x7D2F0E2A, (q31_t)0x1AB3CB0C, + (q31_t)0x7D24881A, (q31_t)0x1AE4F1D6, (q31_t)0x7D19EEBE, + (q31_t)0x1B161479, (q31_t)0x7D0F4218, (q31_t)0x1B4732EF, + (q31_t)0x7D048228, (q31_t)0x1B784D30, (q31_t)0x7CF9AEF0, + (q31_t)0x1BA96334, (q31_t)0x7CEEC873, (q31_t)0x1BDA74F5, + (q31_t)0x7CE3CEB1, (q31_t)0x1C0B826A, (q31_t)0x7CD8C1AD, + (q31_t)0x1C3C8B8C, (q31_t)0x7CCDA168, (q31_t)0x1C6D9053, + (q31_t)0x7CC26DE5, (q31_t)0x1C9E90B8, (q31_t)0x7CB72724, + (q31_t)0x1CCF8CB3, (q31_t)0x7CABCD27, (q31_t)0x1D00843C, + (q31_t)0x7CA05FF1, (q31_t)0x1D31774D, (q31_t)0x7C94DF82, + (q31_t)0x1D6265DD, (q31_t)0x7C894BDD, (q31_t)0x1D934FE5, + (q31_t)0x7C7DA504, (q31_t)0x1DC4355D, (q31_t)0x7C71EAF8, + (q31_t)0x1DF5163F, (q31_t)0x7C661DBB, (q31_t)0x1E25F281, + (q31_t)0x7C5A3D4F, (q31_t)0x1E56CA1E, (q31_t)0x7C4E49B6, + (q31_t)0x1E879D0C, (q31_t)0x7C4242F2, (q31_t)0x1EB86B46, + (q31_t)0x7C362904, (q31_t)0x1EE934C2, (q31_t)0x7C29FBEE, + (q31_t)0x1F19F97B, (q31_t)0x7C1DBBB2, (q31_t)0x1F4AB967, + (q31_t)0x7C116853, (q31_t)0x1F7B7480, (q31_t)0x7C0501D1, + (q31_t)0x1FAC2ABF, (q31_t)0x7BF88830, (q31_t)0x1FDCDC1A, + (q31_t)0x7BEBFB70, (q31_t)0x200D888C, (q31_t)0x7BDF5B94, + (q31_t)0x203E300D, (q31_t)0x7BD2A89E, (q31_t)0x206ED295, + (q31_t)0x7BC5E28F, (q31_t)0x209F701C, (q31_t)0x7BB9096A, + (q31_t)0x20D0089B, (q31_t)0x7BAC1D31, (q31_t)0x21009C0B, + (q31_t)0x7B9F1DE5, (q31_t)0x21312A65, (q31_t)0x7B920B89, + (q31_t)0x2161B39F, (q31_t)0x7B84E61E, (q31_t)0x219237B4, + (q31_t)0x7B77ADA8, (q31_t)0x21C2B69C, (q31_t)0x7B6A6227, + (q31_t)0x21F3304E, (q31_t)0x7B5D039D, (q31_t)0x2223A4C5, + (q31_t)0x7B4F920E, (q31_t)0x225413F8, (q31_t)0x7B420D7A, + (q31_t)0x22847DDF, (q31_t)0x7B3475E4, (q31_t)0x22B4E274, + (q31_t)0x7B26CB4F, (q31_t)0x22E541AE, (q31_t)0x7B190DBB, + (q31_t)0x23159B87, (q31_t)0x7B0B3D2C, (q31_t)0x2345EFF7, + (q31_t)0x7AFD59A3, (q31_t)0x23763EF7, (q31_t)0x7AEF6323, + (q31_t)0x23A6887E, (q31_t)0x7AE159AE, (q31_t)0x23D6CC86, + (q31_t)0x7AD33D45, (q31_t)0x24070B07, (q31_t)0x7AC50DEB, + (q31_t)0x243743FA, (q31_t)0x7AB6CBA3, (q31_t)0x24677757, + (q31_t)0x7AA8766E, (q31_t)0x2497A517, (q31_t)0x7A9A0E4F, + (q31_t)0x24C7CD32, (q31_t)0x7A8B9348, (q31_t)0x24F7EFA1, + (q31_t)0x7A7D055B, (q31_t)0x25280C5D, (q31_t)0x7A6E648A, + (q31_t)0x2558235E, (q31_t)0x7A5FB0D8, (q31_t)0x2588349D, + (q31_t)0x7A50EA46, (q31_t)0x25B84012, (q31_t)0x7A4210D8, + (q31_t)0x25E845B5, (q31_t)0x7A33248F, (q31_t)0x26184581, + (q31_t)0x7A24256E, (q31_t)0x26483F6C, (q31_t)0x7A151377, + (q31_t)0x26783370, (q31_t)0x7A05EEAD, (q31_t)0x26A82185, + (q31_t)0x79F6B711, (q31_t)0x26D809A5, (q31_t)0x79E76CA6, + (q31_t)0x2707EBC6, (q31_t)0x79D80F6F, (q31_t)0x2737C7E3, + (q31_t)0x79C89F6D, (q31_t)0x27679DF4, (q31_t)0x79B91CA4, + (q31_t)0x27976DF1, (q31_t)0x79A98715, (q31_t)0x27C737D2, + (q31_t)0x7999DEC3, (q31_t)0x27F6FB92, (q31_t)0x798A23B1, + (q31_t)0x2826B928, (q31_t)0x797A55E0, (q31_t)0x2856708C, + (q31_t)0x796A7554, (q31_t)0x288621B9, (q31_t)0x795A820E, + (q31_t)0x28B5CCA5, (q31_t)0x794A7C11, (q31_t)0x28E5714A, + (q31_t)0x793A6360, (q31_t)0x29150FA1, (q31_t)0x792A37FE, + (q31_t)0x2944A7A2, (q31_t)0x7919F9EB, (q31_t)0x29743945, + (q31_t)0x7909A92C, (q31_t)0x29A3C484, (q31_t)0x78F945C3, + (q31_t)0x29D34958, (q31_t)0x78E8CFB1, (q31_t)0x2A02C7B8, + (q31_t)0x78D846FB, (q31_t)0x2A323F9D, (q31_t)0x78C7ABA1, + (q31_t)0x2A61B101, (q31_t)0x78B6FDA8, (q31_t)0x2A911BDB, + (q31_t)0x78A63D10, (q31_t)0x2AC08025, (q31_t)0x789569DE, + (q31_t)0x2AEFDDD8, (q31_t)0x78848413, (q31_t)0x2B1F34EB, + (q31_t)0x78738BB3, (q31_t)0x2B4E8558, (q31_t)0x786280BF, + (q31_t)0x2B7DCF17, (q31_t)0x7851633B, (q31_t)0x2BAD1221, + (q31_t)0x78403328, (q31_t)0x2BDC4E6F, (q31_t)0x782EF08B, + (q31_t)0x2C0B83F9, (q31_t)0x781D9B64, (q31_t)0x2C3AB2B9, + (q31_t)0x780C33B8, (q31_t)0x2C69DAA6, (q31_t)0x77FAB988, + (q31_t)0x2C98FBBA, (q31_t)0x77E92CD8, (q31_t)0x2CC815ED, + (q31_t)0x77D78DAA, (q31_t)0x2CF72939, (q31_t)0x77C5DC01, + (q31_t)0x2D263595, (q31_t)0x77B417DF, (q31_t)0x2D553AFB, + (q31_t)0x77A24148, (q31_t)0x2D843963, (q31_t)0x7790583D, + (q31_t)0x2DB330C7, (q31_t)0x777E5CC3, (q31_t)0x2DE2211E, + (q31_t)0x776C4EDB, (q31_t)0x2E110A62, (q31_t)0x775A2E88, + (q31_t)0x2E3FEC8B, (q31_t)0x7747FBCE, (q31_t)0x2E6EC792, + (q31_t)0x7735B6AE, (q31_t)0x2E9D9B70, (q31_t)0x77235F2D, + (q31_t)0x2ECC681E, (q31_t)0x7710F54B, (q31_t)0x2EFB2D94, + (q31_t)0x76FE790E, (q31_t)0x2F29EBCC, (q31_t)0x76EBEA77, + (q31_t)0x2F58A2BD, (q31_t)0x76D94988, (q31_t)0x2F875262, + (q31_t)0x76C69646, (q31_t)0x2FB5FAB2, (q31_t)0x76B3D0B3, + (q31_t)0x2FE49BA6, (q31_t)0x76A0F8D2, (q31_t)0x30133538, + (q31_t)0x768E0EA5, (q31_t)0x3041C760, (q31_t)0x767B1230, + (q31_t)0x30705217, (q31_t)0x76680376, (q31_t)0x309ED555, + (q31_t)0x7654E279, (q31_t)0x30CD5114, (q31_t)0x7641AF3C, + (q31_t)0x30FBC54D, (q31_t)0x762E69C3, (q31_t)0x312A31F8, + (q31_t)0x761B1211, (q31_t)0x3158970D, (q31_t)0x7607A827, + (q31_t)0x3186F487, (q31_t)0x75F42C0A, (q31_t)0x31B54A5D, + (q31_t)0x75E09DBD, (q31_t)0x31E39889, (q31_t)0x75CCFD42, + (q31_t)0x3211DF03, (q31_t)0x75B94A9C, (q31_t)0x32401DC5, + (q31_t)0x75A585CF, (q31_t)0x326E54C7, (q31_t)0x7591AEDD, + (q31_t)0x329C8402, (q31_t)0x757DC5CA, (q31_t)0x32CAAB6F, + (q31_t)0x7569CA98, (q31_t)0x32F8CB07, (q31_t)0x7555BD4B, + (q31_t)0x3326E2C2, (q31_t)0x75419DE6, (q31_t)0x3354F29A, + (q31_t)0x752D6C6C, (q31_t)0x3382FA88, (q31_t)0x751928E0, + (q31_t)0x33B0FA84, (q31_t)0x7504D345, (q31_t)0x33DEF287, + (q31_t)0x74F06B9E, (q31_t)0x340CE28A, (q31_t)0x74DBF1EF, + (q31_t)0x343ACA87, (q31_t)0x74C7663A, (q31_t)0x3468AA76, + (q31_t)0x74B2C883, (q31_t)0x3496824F, (q31_t)0x749E18CD, + (q31_t)0x34C4520D, (q31_t)0x7489571B, (q31_t)0x34F219A7, + (q31_t)0x74748371, (q31_t)0x351FD917, (q31_t)0x745F9DD1, + (q31_t)0x354D9056, (q31_t)0x744AA63E, (q31_t)0x357B3F5D, + (q31_t)0x74359CBD, (q31_t)0x35A8E624, (q31_t)0x74208150, + (q31_t)0x35D684A5, (q31_t)0x740B53FA, (q31_t)0x36041AD9, + (q31_t)0x73F614C0, (q31_t)0x3631A8B7, (q31_t)0x73E0C3A3, + (q31_t)0x365F2E3B, (q31_t)0x73CB60A7, (q31_t)0x368CAB5C, + (q31_t)0x73B5EBD0, (q31_t)0x36BA2013, (q31_t)0x73A06522, + (q31_t)0x36E78C5A, (q31_t)0x738ACC9E, (q31_t)0x3714F02A, + (q31_t)0x73752249, (q31_t)0x37424B7A, (q31_t)0x735F6626, + (q31_t)0x376F9E46, (q31_t)0x73499838, (q31_t)0x379CE884, + (q31_t)0x7333B883, (q31_t)0x37CA2A30, (q31_t)0x731DC709, + (q31_t)0x37F76340, (q31_t)0x7307C3D0, (q31_t)0x382493B0, + (q31_t)0x72F1AED8, (q31_t)0x3851BB76, (q31_t)0x72DB8828, + (q31_t)0x387EDA8E, (q31_t)0x72C54FC0, (q31_t)0x38ABF0EF, + (q31_t)0x72AF05A6, (q31_t)0x38D8FE93, (q31_t)0x7298A9DC, + (q31_t)0x39060372, (q31_t)0x72823C66, (q31_t)0x3932FF87, + (q31_t)0x726BBD48, (q31_t)0x395FF2C9, (q31_t)0x72552C84, + (q31_t)0x398CDD32, (q31_t)0x723E8A1F, (q31_t)0x39B9BEBB, + (q31_t)0x7227D61C, (q31_t)0x39E6975D, (q31_t)0x7211107D, + (q31_t)0x3A136712, (q31_t)0x71FA3948, (q31_t)0x3A402DD1, + (q31_t)0x71E3507F, (q31_t)0x3A6CEB95, (q31_t)0x71CC5626, + (q31_t)0x3A99A057, (q31_t)0x71B54A40, (q31_t)0x3AC64C0F, + (q31_t)0x719E2CD2, (q31_t)0x3AF2EEB7, (q31_t)0x7186FDDE, + (q31_t)0x3B1F8847, (q31_t)0x716FBD68, (q31_t)0x3B4C18BA, + (q31_t)0x71586B73, (q31_t)0x3B78A007, (q31_t)0x71410804, + (q31_t)0x3BA51E29, (q31_t)0x7129931E, (q31_t)0x3BD19317, + (q31_t)0x71120CC5, (q31_t)0x3BFDFECD, (q31_t)0x70FA74FB, + (q31_t)0x3C2A6142, (q31_t)0x70E2CBC6, (q31_t)0x3C56BA70, + (q31_t)0x70CB1127, (q31_t)0x3C830A4F, (q31_t)0x70B34524, + (q31_t)0x3CAF50DA, (q31_t)0x709B67C0, (q31_t)0x3CDB8E09, + (q31_t)0x708378FE, (q31_t)0x3D07C1D5, (q31_t)0x706B78E3, + (q31_t)0x3D33EC39, (q31_t)0x70536771, (q31_t)0x3D600D2B, + (q31_t)0x703B44AC, (q31_t)0x3D8C24A7, (q31_t)0x70231099, + (q31_t)0x3DB832A5, (q31_t)0x700ACB3B, (q31_t)0x3DE4371F, + (q31_t)0x6FF27496, (q31_t)0x3E10320D, (q31_t)0x6FDA0CAD, + (q31_t)0x3E3C2369, (q31_t)0x6FC19385, (q31_t)0x3E680B2C, + (q31_t)0x6FA90920, (q31_t)0x3E93E94F, (q31_t)0x6F906D84, + (q31_t)0x3EBFBDCC, (q31_t)0x6F77C0B3, (q31_t)0x3EEB889C, + (q31_t)0x6F5F02B1, (q31_t)0x3F1749B7, (q31_t)0x6F463383, + (q31_t)0x3F430118, (q31_t)0x6F2D532C, (q31_t)0x3F6EAEB8, + (q31_t)0x6F1461AF, (q31_t)0x3F9A528F, (q31_t)0x6EFB5F12, + (q31_t)0x3FC5EC97, (q31_t)0x6EE24B57, (q31_t)0x3FF17CCA, + (q31_t)0x6EC92682, (q31_t)0x401D0320, (q31_t)0x6EAFF098, + (q31_t)0x40487F93, (q31_t)0x6E96A99C, (q31_t)0x4073F21D, + (q31_t)0x6E7D5193, (q31_t)0x409F5AB6, (q31_t)0x6E63E87F, + (q31_t)0x40CAB957, (q31_t)0x6E4A6E65, (q31_t)0x40F60DFB, + (q31_t)0x6E30E349, (q31_t)0x4121589A, (q31_t)0x6E17472F, + (q31_t)0x414C992E, (q31_t)0x6DFD9A1B, (q31_t)0x4177CFB0, + (q31_t)0x6DE3DC11, (q31_t)0x41A2FC1A, (q31_t)0x6DCA0D14, + (q31_t)0x41CE1E64, (q31_t)0x6DB02D29, (q31_t)0x41F93688, + (q31_t)0x6D963C54, (q31_t)0x42244480, (q31_t)0x6D7C3A98, + (q31_t)0x424F4845, (q31_t)0x6D6227FA, (q31_t)0x427A41D0, + (q31_t)0x6D48047E, (q31_t)0x42A5311A, (q31_t)0x6D2DD027, + (q31_t)0x42D0161E, (q31_t)0x6D138AFA, (q31_t)0x42FAF0D4, + (q31_t)0x6CF934FB, (q31_t)0x4325C135, (q31_t)0x6CDECE2E, + (q31_t)0x4350873C, (q31_t)0x6CC45697, (q31_t)0x437B42E1, + (q31_t)0x6CA9CE3A, (q31_t)0x43A5F41E, (q31_t)0x6C8F351C, + (q31_t)0x43D09AEC, (q31_t)0x6C748B3F, (q31_t)0x43FB3745, + (q31_t)0x6C59D0A9, (q31_t)0x4425C923, (q31_t)0x6C3F055D, + (q31_t)0x4450507E, (q31_t)0x6C242960, (q31_t)0x447ACD50, + (q31_t)0x6C093CB6, (q31_t)0x44A53F93, (q31_t)0x6BEE3F62, + (q31_t)0x44CFA73F, (q31_t)0x6BD3316A, (q31_t)0x44FA044F, + (q31_t)0x6BB812D0, (q31_t)0x452456BC, (q31_t)0x6B9CE39B, + (q31_t)0x454E9E80, (q31_t)0x6B81A3CD, (q31_t)0x4578DB93, + (q31_t)0x6B66536A, (q31_t)0x45A30DF0, (q31_t)0x6B4AF278, + (q31_t)0x45CD358F, (q31_t)0x6B2F80FA, (q31_t)0x45F7526B, + (q31_t)0x6B13FEF5, (q31_t)0x4621647C, (q31_t)0x6AF86C6C, + (q31_t)0x464B6BBD, (q31_t)0x6ADCC964, (q31_t)0x46756827, + (q31_t)0x6AC115E1, (q31_t)0x469F59B4, (q31_t)0x6AA551E8, + (q31_t)0x46C9405C, (q31_t)0x6A897D7D, (q31_t)0x46F31C1A, + (q31_t)0x6A6D98A4, (q31_t)0x471CECE6, (q31_t)0x6A51A361, + (q31_t)0x4746B2BC, (q31_t)0x6A359DB9, (q31_t)0x47706D93, + (q31_t)0x6A1987B0, (q31_t)0x479A1D66, (q31_t)0x69FD614A, + (q31_t)0x47C3C22E, (q31_t)0x69E12A8C, (q31_t)0x47ED5BE6, + (q31_t)0x69C4E37A, (q31_t)0x4816EA85, (q31_t)0x69A88C18, + (q31_t)0x48406E07, (q31_t)0x698C246C, (q31_t)0x4869E664, + (q31_t)0x696FAC78, (q31_t)0x48935397, (q31_t)0x69532442, + (q31_t)0x48BCB598, (q31_t)0x69368BCE, (q31_t)0x48E60C62, + (q31_t)0x6919E320, (q31_t)0x490F57EE, (q31_t)0x68FD2A3D, + (q31_t)0x49389836, (q31_t)0x68E06129, (q31_t)0x4961CD32, + (q31_t)0x68C387E9, (q31_t)0x498AF6DE, (q31_t)0x68A69E81, + (q31_t)0x49B41533, (q31_t)0x6889A4F5, (q31_t)0x49DD282A, + (q31_t)0x686C9B4B, (q31_t)0x4A062FBD, (q31_t)0x684F8186, + (q31_t)0x4A2F2BE5, (q31_t)0x683257AA, (q31_t)0x4A581C9D, + (q31_t)0x68151DBE, (q31_t)0x4A8101DE, (q31_t)0x67F7D3C4, + (q31_t)0x4AA9DBA1, (q31_t)0x67DA79C2, (q31_t)0x4AD2A9E1, + (q31_t)0x67BD0FBC, (q31_t)0x4AFB6C97, (q31_t)0x679F95B7, + (q31_t)0x4B2423BD, (q31_t)0x67820BB6, (q31_t)0x4B4CCF4D, + (q31_t)0x676471C0, (q31_t)0x4B756F3F, (q31_t)0x6746C7D7, + (q31_t)0x4B9E038F, (q31_t)0x67290E02, (q31_t)0x4BC68C36, + (q31_t)0x670B4443, (q31_t)0x4BEF092D, (q31_t)0x66ED6AA1, + (q31_t)0x4C177A6E, (q31_t)0x66CF811F, (q31_t)0x4C3FDFF3, + (q31_t)0x66B187C3, (q31_t)0x4C6839B6, (q31_t)0x66937E90, + (q31_t)0x4C9087B1, (q31_t)0x6675658C, (q31_t)0x4CB8C9DD, + (q31_t)0x66573CBB, (q31_t)0x4CE10034, (q31_t)0x66390422, + (q31_t)0x4D092AB0, (q31_t)0x661ABBC5, (q31_t)0x4D31494B, + (q31_t)0x65FC63A9, (q31_t)0x4D595BFE, (q31_t)0x65DDFBD3, + (q31_t)0x4D8162C4, (q31_t)0x65BF8447, (q31_t)0x4DA95D96, + (q31_t)0x65A0FD0B, (q31_t)0x4DD14C6E, (q31_t)0x65826622, + (q31_t)0x4DF92F45, (q31_t)0x6563BF92, (q31_t)0x4E210617, + (q31_t)0x6545095F, (q31_t)0x4E48D0DC, (q31_t)0x6526438E, + (q31_t)0x4E708F8F, (q31_t)0x65076E24, (q31_t)0x4E984229, + (q31_t)0x64E88926, (q31_t)0x4EBFE8A4, (q31_t)0x64C99498, + (q31_t)0x4EE782FA, (q31_t)0x64AA907F, (q31_t)0x4F0F1126, + (q31_t)0x648B7CDF, (q31_t)0x4F369320, (q31_t)0x646C59BF, + (q31_t)0x4F5E08E3, (q31_t)0x644D2722, (q31_t)0x4F857268, + (q31_t)0x642DE50D, (q31_t)0x4FACCFAB, (q31_t)0x640E9385, + (q31_t)0x4FD420A3, (q31_t)0x63EF328F, (q31_t)0x4FFB654D, + (q31_t)0x63CFC230, (q31_t)0x50229DA0, (q31_t)0x63B0426D, + (q31_t)0x5049C999, (q31_t)0x6390B34A, (q31_t)0x5070E92F, + (q31_t)0x637114CC, (q31_t)0x5097FC5E, (q31_t)0x635166F8, + (q31_t)0x50BF031F, (q31_t)0x6331A9D4, (q31_t)0x50E5FD6C, + (q31_t)0x6311DD63, (q31_t)0x510CEB40, (q31_t)0x62F201AC, + (q31_t)0x5133CC94, (q31_t)0x62D216B2, (q31_t)0x515AA162, + (q31_t)0x62B21C7B, (q31_t)0x518169A4, (q31_t)0x6292130C, + (q31_t)0x51A82555, (q31_t)0x6271FA69, (q31_t)0x51CED46E, + (q31_t)0x6251D297, (q31_t)0x51F576E9, (q31_t)0x62319B9D, + (q31_t)0x521C0CC1, (q31_t)0x6211557D, (q31_t)0x524295EF, + (q31_t)0x61F1003E, (q31_t)0x5269126E, (q31_t)0x61D09BE5, + (q31_t)0x528F8237, (q31_t)0x61B02876, (q31_t)0x52B5E545, + (q31_t)0x618FA5F6, (q31_t)0x52DC3B92, (q31_t)0x616F146B, + (q31_t)0x53028517, (q31_t)0x614E73D9, (q31_t)0x5328C1D0, + (q31_t)0x612DC446, (q31_t)0x534EF1B5, (q31_t)0x610D05B7, + (q31_t)0x537514C1, (q31_t)0x60EC3830, (q31_t)0x539B2AEF, + (q31_t)0x60CB5BB6, (q31_t)0x53C13438, (q31_t)0x60AA704F, + (q31_t)0x53E73097, (q31_t)0x60897600, (q31_t)0x540D2005, + (q31_t)0x60686CCE, (q31_t)0x5433027D, (q31_t)0x604754BE, + (q31_t)0x5458D7F9, (q31_t)0x60262DD5, (q31_t)0x547EA073, + (q31_t)0x6004F818, (q31_t)0x54A45BE5, (q31_t)0x5FE3B38D, + (q31_t)0x54CA0A4A, (q31_t)0x5FC26038, (q31_t)0x54EFAB9C, + (q31_t)0x5FA0FE1E, (q31_t)0x55153FD4, (q31_t)0x5F7F8D46, + (q31_t)0x553AC6ED, (q31_t)0x5F5E0DB3, (q31_t)0x556040E2, + (q31_t)0x5F3C7F6B, (q31_t)0x5585ADAC, (q31_t)0x5F1AE273, + (q31_t)0x55AB0D46, (q31_t)0x5EF936D1, (q31_t)0x55D05FAA, + (q31_t)0x5ED77C89, (q31_t)0x55F5A4D2, (q31_t)0x5EB5B3A1, + (q31_t)0x561ADCB8, (q31_t)0x5E93DC1F, (q31_t)0x56400757, + (q31_t)0x5E71F606, (q31_t)0x566524AA, (q31_t)0x5E50015D, + (q31_t)0x568A34A9, (q31_t)0x5E2DFE28, (q31_t)0x56AF3750, + (q31_t)0x5E0BEC6E, (q31_t)0x56D42C99, (q31_t)0x5DE9CC32, + (q31_t)0x56F9147E, (q31_t)0x5DC79D7C, (q31_t)0x571DEEF9, + (q31_t)0x5DA5604E, (q31_t)0x5742BC05, (q31_t)0x5D8314B0, + (q31_t)0x57677B9D, (q31_t)0x5D60BAA6, (q31_t)0x578C2DB9, + (q31_t)0x5D3E5236, (q31_t)0x57B0D256, (q31_t)0x5D1BDB65, + (q31_t)0x57D5696C, (q31_t)0x5CF95638, (q31_t)0x57F9F2F7, + (q31_t)0x5CD6C2B4, (q31_t)0x581E6EF1, (q31_t)0x5CB420DF, + (q31_t)0x5842DD54, (q31_t)0x5C9170BF, (q31_t)0x58673E1B, + (q31_t)0x5C6EB258, (q31_t)0x588B913F, (q31_t)0x5C4BE5B0, + (q31_t)0x58AFD6BC, (q31_t)0x5C290ACC, (q31_t)0x58D40E8C, + (q31_t)0x5C0621B2, (q31_t)0x58F838A9, (q31_t)0x5BE32A67, + (q31_t)0x591C550E, (q31_t)0x5BC024F0, (q31_t)0x594063B4, + (q31_t)0x5B9D1153, (q31_t)0x59646497, (q31_t)0x5B79EF96, + (q31_t)0x598857B1, (q31_t)0x5B56BFBD, (q31_t)0x59AC3CFD, + (q31_t)0x5B3381CE, (q31_t)0x59D01474, (q31_t)0x5B1035CF, + (q31_t)0x59F3DE12, (q31_t)0x5AECDBC4, (q31_t)0x5A1799D0, + (q31_t)0x5AC973B4, (q31_t)0x5A3B47AA, (q31_t)0x5AA5FDA4, + (q31_t)0x5A5EE79A, (q31_t)0x5A82799A, (q31_t)0x5A82799A, + (q31_t)0x5A5EE79A, (q31_t)0x5AA5FDA4, (q31_t)0x5A3B47AA, + (q31_t)0x5AC973B4, (q31_t)0x5A1799D0, (q31_t)0x5AECDBC4, + (q31_t)0x59F3DE12, (q31_t)0x5B1035CF, (q31_t)0x59D01474, + (q31_t)0x5B3381CE, (q31_t)0x59AC3CFD, (q31_t)0x5B56BFBD, + (q31_t)0x598857B1, (q31_t)0x5B79EF96, (q31_t)0x59646497, + (q31_t)0x5B9D1153, (q31_t)0x594063B4, (q31_t)0x5BC024F0, + (q31_t)0x591C550E, (q31_t)0x5BE32A67, (q31_t)0x58F838A9, + (q31_t)0x5C0621B2, (q31_t)0x58D40E8C, (q31_t)0x5C290ACC, + (q31_t)0x58AFD6BC, (q31_t)0x5C4BE5B0, (q31_t)0x588B913F, + (q31_t)0x5C6EB258, (q31_t)0x58673E1B, (q31_t)0x5C9170BF, + (q31_t)0x5842DD54, (q31_t)0x5CB420DF, (q31_t)0x581E6EF1, + (q31_t)0x5CD6C2B4, (q31_t)0x57F9F2F7, (q31_t)0x5CF95638, + (q31_t)0x57D5696C, (q31_t)0x5D1BDB65, (q31_t)0x57B0D256, + (q31_t)0x5D3E5236, (q31_t)0x578C2DB9, (q31_t)0x5D60BAA6, + (q31_t)0x57677B9D, (q31_t)0x5D8314B0, (q31_t)0x5742BC05, + (q31_t)0x5DA5604E, (q31_t)0x571DEEF9, (q31_t)0x5DC79D7C, + (q31_t)0x56F9147E, (q31_t)0x5DE9CC32, (q31_t)0x56D42C99, + (q31_t)0x5E0BEC6E, (q31_t)0x56AF3750, (q31_t)0x5E2DFE28, + (q31_t)0x568A34A9, (q31_t)0x5E50015D, (q31_t)0x566524AA, + (q31_t)0x5E71F606, (q31_t)0x56400757, (q31_t)0x5E93DC1F, + (q31_t)0x561ADCB8, (q31_t)0x5EB5B3A1, (q31_t)0x55F5A4D2, + (q31_t)0x5ED77C89, (q31_t)0x55D05FAA, (q31_t)0x5EF936D1, + (q31_t)0x55AB0D46, (q31_t)0x5F1AE273, (q31_t)0x5585ADAC, + (q31_t)0x5F3C7F6B, (q31_t)0x556040E2, (q31_t)0x5F5E0DB3, + (q31_t)0x553AC6ED, (q31_t)0x5F7F8D46, (q31_t)0x55153FD4, + (q31_t)0x5FA0FE1E, (q31_t)0x54EFAB9C, (q31_t)0x5FC26038, + (q31_t)0x54CA0A4A, (q31_t)0x5FE3B38D, (q31_t)0x54A45BE5, + (q31_t)0x6004F818, (q31_t)0x547EA073, (q31_t)0x60262DD5, + (q31_t)0x5458D7F9, (q31_t)0x604754BE, (q31_t)0x5433027D, + (q31_t)0x60686CCE, (q31_t)0x540D2005, (q31_t)0x60897600, + (q31_t)0x53E73097, (q31_t)0x60AA704F, (q31_t)0x53C13438, + (q31_t)0x60CB5BB6, (q31_t)0x539B2AEF, (q31_t)0x60EC3830, + (q31_t)0x537514C1, (q31_t)0x610D05B7, (q31_t)0x534EF1B5, + (q31_t)0x612DC446, (q31_t)0x5328C1D0, (q31_t)0x614E73D9, + (q31_t)0x53028517, (q31_t)0x616F146B, (q31_t)0x52DC3B92, + (q31_t)0x618FA5F6, (q31_t)0x52B5E545, (q31_t)0x61B02876, + (q31_t)0x528F8237, (q31_t)0x61D09BE5, (q31_t)0x5269126E, + (q31_t)0x61F1003E, (q31_t)0x524295EF, (q31_t)0x6211557D, + (q31_t)0x521C0CC1, (q31_t)0x62319B9D, (q31_t)0x51F576E9, + (q31_t)0x6251D297, (q31_t)0x51CED46E, (q31_t)0x6271FA69, + (q31_t)0x51A82555, (q31_t)0x6292130C, (q31_t)0x518169A4, + (q31_t)0x62B21C7B, (q31_t)0x515AA162, (q31_t)0x62D216B2, + (q31_t)0x5133CC94, (q31_t)0x62F201AC, (q31_t)0x510CEB40, + (q31_t)0x6311DD63, (q31_t)0x50E5FD6C, (q31_t)0x6331A9D4, + (q31_t)0x50BF031F, (q31_t)0x635166F8, (q31_t)0x5097FC5E, + (q31_t)0x637114CC, (q31_t)0x5070E92F, (q31_t)0x6390B34A, + (q31_t)0x5049C999, (q31_t)0x63B0426D, (q31_t)0x50229DA0, + (q31_t)0x63CFC230, (q31_t)0x4FFB654D, (q31_t)0x63EF328F, + (q31_t)0x4FD420A3, (q31_t)0x640E9385, (q31_t)0x4FACCFAB, + (q31_t)0x642DE50D, (q31_t)0x4F857268, (q31_t)0x644D2722, + (q31_t)0x4F5E08E3, (q31_t)0x646C59BF, (q31_t)0x4F369320, + (q31_t)0x648B7CDF, (q31_t)0x4F0F1126, (q31_t)0x64AA907F, + (q31_t)0x4EE782FA, (q31_t)0x64C99498, (q31_t)0x4EBFE8A4, + (q31_t)0x64E88926, (q31_t)0x4E984229, (q31_t)0x65076E24, + (q31_t)0x4E708F8F, (q31_t)0x6526438E, (q31_t)0x4E48D0DC, + (q31_t)0x6545095F, (q31_t)0x4E210617, (q31_t)0x6563BF92, + (q31_t)0x4DF92F45, (q31_t)0x65826622, (q31_t)0x4DD14C6E, + (q31_t)0x65A0FD0B, (q31_t)0x4DA95D96, (q31_t)0x65BF8447, + (q31_t)0x4D8162C4, (q31_t)0x65DDFBD3, (q31_t)0x4D595BFE, + (q31_t)0x65FC63A9, (q31_t)0x4D31494B, (q31_t)0x661ABBC5, + (q31_t)0x4D092AB0, (q31_t)0x66390422, (q31_t)0x4CE10034, + (q31_t)0x66573CBB, (q31_t)0x4CB8C9DD, (q31_t)0x6675658C, + (q31_t)0x4C9087B1, (q31_t)0x66937E90, (q31_t)0x4C6839B6, + (q31_t)0x66B187C3, (q31_t)0x4C3FDFF3, (q31_t)0x66CF811F, + (q31_t)0x4C177A6E, (q31_t)0x66ED6AA1, (q31_t)0x4BEF092D, + (q31_t)0x670B4443, (q31_t)0x4BC68C36, (q31_t)0x67290E02, + (q31_t)0x4B9E038F, (q31_t)0x6746C7D7, (q31_t)0x4B756F3F, + (q31_t)0x676471C0, (q31_t)0x4B4CCF4D, (q31_t)0x67820BB6, + (q31_t)0x4B2423BD, (q31_t)0x679F95B7, (q31_t)0x4AFB6C97, + (q31_t)0x67BD0FBC, (q31_t)0x4AD2A9E1, (q31_t)0x67DA79C2, + (q31_t)0x4AA9DBA1, (q31_t)0x67F7D3C4, (q31_t)0x4A8101DE, + (q31_t)0x68151DBE, (q31_t)0x4A581C9D, (q31_t)0x683257AA, + (q31_t)0x4A2F2BE5, (q31_t)0x684F8186, (q31_t)0x4A062FBD, + (q31_t)0x686C9B4B, (q31_t)0x49DD282A, (q31_t)0x6889A4F5, + (q31_t)0x49B41533, (q31_t)0x68A69E81, (q31_t)0x498AF6DE, + (q31_t)0x68C387E9, (q31_t)0x4961CD32, (q31_t)0x68E06129, + (q31_t)0x49389836, (q31_t)0x68FD2A3D, (q31_t)0x490F57EE, + (q31_t)0x6919E320, (q31_t)0x48E60C62, (q31_t)0x69368BCE, + (q31_t)0x48BCB598, (q31_t)0x69532442, (q31_t)0x48935397, + (q31_t)0x696FAC78, (q31_t)0x4869E664, (q31_t)0x698C246C, + (q31_t)0x48406E07, (q31_t)0x69A88C18, (q31_t)0x4816EA85, + (q31_t)0x69C4E37A, (q31_t)0x47ED5BE6, (q31_t)0x69E12A8C, + (q31_t)0x47C3C22E, (q31_t)0x69FD614A, (q31_t)0x479A1D66, + (q31_t)0x6A1987B0, (q31_t)0x47706D93, (q31_t)0x6A359DB9, + (q31_t)0x4746B2BC, (q31_t)0x6A51A361, (q31_t)0x471CECE6, + (q31_t)0x6A6D98A4, (q31_t)0x46F31C1A, (q31_t)0x6A897D7D, + (q31_t)0x46C9405C, (q31_t)0x6AA551E8, (q31_t)0x469F59B4, + (q31_t)0x6AC115E1, (q31_t)0x46756827, (q31_t)0x6ADCC964, + (q31_t)0x464B6BBD, (q31_t)0x6AF86C6C, (q31_t)0x4621647C, + (q31_t)0x6B13FEF5, (q31_t)0x45F7526B, (q31_t)0x6B2F80FA, + (q31_t)0x45CD358F, (q31_t)0x6B4AF278, (q31_t)0x45A30DF0, + (q31_t)0x6B66536A, (q31_t)0x4578DB93, (q31_t)0x6B81A3CD, + (q31_t)0x454E9E80, (q31_t)0x6B9CE39B, (q31_t)0x452456BC, + (q31_t)0x6BB812D0, (q31_t)0x44FA044F, (q31_t)0x6BD3316A, + (q31_t)0x44CFA73F, (q31_t)0x6BEE3F62, (q31_t)0x44A53F93, + (q31_t)0x6C093CB6, (q31_t)0x447ACD50, (q31_t)0x6C242960, + (q31_t)0x4450507E, (q31_t)0x6C3F055D, (q31_t)0x4425C923, + (q31_t)0x6C59D0A9, (q31_t)0x43FB3745, (q31_t)0x6C748B3F, + (q31_t)0x43D09AEC, (q31_t)0x6C8F351C, (q31_t)0x43A5F41E, + (q31_t)0x6CA9CE3A, (q31_t)0x437B42E1, (q31_t)0x6CC45697, + (q31_t)0x4350873C, (q31_t)0x6CDECE2E, (q31_t)0x4325C135, + (q31_t)0x6CF934FB, (q31_t)0x42FAF0D4, (q31_t)0x6D138AFA, + (q31_t)0x42D0161E, (q31_t)0x6D2DD027, (q31_t)0x42A5311A, + (q31_t)0x6D48047E, (q31_t)0x427A41D0, (q31_t)0x6D6227FA, + (q31_t)0x424F4845, (q31_t)0x6D7C3A98, (q31_t)0x42244480, + (q31_t)0x6D963C54, (q31_t)0x41F93688, (q31_t)0x6DB02D29, + (q31_t)0x41CE1E64, (q31_t)0x6DCA0D14, (q31_t)0x41A2FC1A, + (q31_t)0x6DE3DC11, (q31_t)0x4177CFB0, (q31_t)0x6DFD9A1B, + (q31_t)0x414C992E, (q31_t)0x6E17472F, (q31_t)0x4121589A, + (q31_t)0x6E30E349, (q31_t)0x40F60DFB, (q31_t)0x6E4A6E65, + (q31_t)0x40CAB957, (q31_t)0x6E63E87F, (q31_t)0x409F5AB6, + (q31_t)0x6E7D5193, (q31_t)0x4073F21D, (q31_t)0x6E96A99C, + (q31_t)0x40487F93, (q31_t)0x6EAFF098, (q31_t)0x401D0320, + (q31_t)0x6EC92682, (q31_t)0x3FF17CCA, (q31_t)0x6EE24B57, + (q31_t)0x3FC5EC97, (q31_t)0x6EFB5F12, (q31_t)0x3F9A528F, + (q31_t)0x6F1461AF, (q31_t)0x3F6EAEB8, (q31_t)0x6F2D532C, + (q31_t)0x3F430118, (q31_t)0x6F463383, (q31_t)0x3F1749B7, + (q31_t)0x6F5F02B1, (q31_t)0x3EEB889C, (q31_t)0x6F77C0B3, + (q31_t)0x3EBFBDCC, (q31_t)0x6F906D84, (q31_t)0x3E93E94F, + (q31_t)0x6FA90920, (q31_t)0x3E680B2C, (q31_t)0x6FC19385, + (q31_t)0x3E3C2369, (q31_t)0x6FDA0CAD, (q31_t)0x3E10320D, + (q31_t)0x6FF27496, (q31_t)0x3DE4371F, (q31_t)0x700ACB3B, + (q31_t)0x3DB832A5, (q31_t)0x70231099, (q31_t)0x3D8C24A7, + (q31_t)0x703B44AC, (q31_t)0x3D600D2B, (q31_t)0x70536771, + (q31_t)0x3D33EC39, (q31_t)0x706B78E3, (q31_t)0x3D07C1D5, + (q31_t)0x708378FE, (q31_t)0x3CDB8E09, (q31_t)0x709B67C0, + (q31_t)0x3CAF50DA, (q31_t)0x70B34524, (q31_t)0x3C830A4F, + (q31_t)0x70CB1127, (q31_t)0x3C56BA70, (q31_t)0x70E2CBC6, + (q31_t)0x3C2A6142, (q31_t)0x70FA74FB, (q31_t)0x3BFDFECD, + (q31_t)0x71120CC5, (q31_t)0x3BD19317, (q31_t)0x7129931E, + (q31_t)0x3BA51E29, (q31_t)0x71410804, (q31_t)0x3B78A007, + (q31_t)0x71586B73, (q31_t)0x3B4C18BA, (q31_t)0x716FBD68, + (q31_t)0x3B1F8847, (q31_t)0x7186FDDE, (q31_t)0x3AF2EEB7, + (q31_t)0x719E2CD2, (q31_t)0x3AC64C0F, (q31_t)0x71B54A40, + (q31_t)0x3A99A057, (q31_t)0x71CC5626, (q31_t)0x3A6CEB95, + (q31_t)0x71E3507F, (q31_t)0x3A402DD1, (q31_t)0x71FA3948, + (q31_t)0x3A136712, (q31_t)0x7211107D, (q31_t)0x39E6975D, + (q31_t)0x7227D61C, (q31_t)0x39B9BEBB, (q31_t)0x723E8A1F, + (q31_t)0x398CDD32, (q31_t)0x72552C84, (q31_t)0x395FF2C9, + (q31_t)0x726BBD48, (q31_t)0x3932FF87, (q31_t)0x72823C66, + (q31_t)0x39060372, (q31_t)0x7298A9DC, (q31_t)0x38D8FE93, + (q31_t)0x72AF05A6, (q31_t)0x38ABF0EF, (q31_t)0x72C54FC0, + (q31_t)0x387EDA8E, (q31_t)0x72DB8828, (q31_t)0x3851BB76, + (q31_t)0x72F1AED8, (q31_t)0x382493B0, (q31_t)0x7307C3D0, + (q31_t)0x37F76340, (q31_t)0x731DC709, (q31_t)0x37CA2A30, + (q31_t)0x7333B883, (q31_t)0x379CE884, (q31_t)0x73499838, + (q31_t)0x376F9E46, (q31_t)0x735F6626, (q31_t)0x37424B7A, + (q31_t)0x73752249, (q31_t)0x3714F02A, (q31_t)0x738ACC9E, + (q31_t)0x36E78C5A, (q31_t)0x73A06522, (q31_t)0x36BA2013, + (q31_t)0x73B5EBD0, (q31_t)0x368CAB5C, (q31_t)0x73CB60A7, + (q31_t)0x365F2E3B, (q31_t)0x73E0C3A3, (q31_t)0x3631A8B7, + (q31_t)0x73F614C0, (q31_t)0x36041AD9, (q31_t)0x740B53FA, + (q31_t)0x35D684A5, (q31_t)0x74208150, (q31_t)0x35A8E624, + (q31_t)0x74359CBD, (q31_t)0x357B3F5D, (q31_t)0x744AA63E, + (q31_t)0x354D9056, (q31_t)0x745F9DD1, (q31_t)0x351FD917, + (q31_t)0x74748371, (q31_t)0x34F219A7, (q31_t)0x7489571B, + (q31_t)0x34C4520D, (q31_t)0x749E18CD, (q31_t)0x3496824F, + (q31_t)0x74B2C883, (q31_t)0x3468AA76, (q31_t)0x74C7663A, + (q31_t)0x343ACA87, (q31_t)0x74DBF1EF, (q31_t)0x340CE28A, + (q31_t)0x74F06B9E, (q31_t)0x33DEF287, (q31_t)0x7504D345, + (q31_t)0x33B0FA84, (q31_t)0x751928E0, (q31_t)0x3382FA88, + (q31_t)0x752D6C6C, (q31_t)0x3354F29A, (q31_t)0x75419DE6, + (q31_t)0x3326E2C2, (q31_t)0x7555BD4B, (q31_t)0x32F8CB07, + (q31_t)0x7569CA98, (q31_t)0x32CAAB6F, (q31_t)0x757DC5CA, + (q31_t)0x329C8402, (q31_t)0x7591AEDD, (q31_t)0x326E54C7, + (q31_t)0x75A585CF, (q31_t)0x32401DC5, (q31_t)0x75B94A9C, + (q31_t)0x3211DF03, (q31_t)0x75CCFD42, (q31_t)0x31E39889, + (q31_t)0x75E09DBD, (q31_t)0x31B54A5D, (q31_t)0x75F42C0A, + (q31_t)0x3186F487, (q31_t)0x7607A827, (q31_t)0x3158970D, + (q31_t)0x761B1211, (q31_t)0x312A31F8, (q31_t)0x762E69C3, + (q31_t)0x30FBC54D, (q31_t)0x7641AF3C, (q31_t)0x30CD5114, + (q31_t)0x7654E279, (q31_t)0x309ED555, (q31_t)0x76680376, + (q31_t)0x30705217, (q31_t)0x767B1230, (q31_t)0x3041C760, + (q31_t)0x768E0EA5, (q31_t)0x30133538, (q31_t)0x76A0F8D2, + (q31_t)0x2FE49BA6, (q31_t)0x76B3D0B3, (q31_t)0x2FB5FAB2, + (q31_t)0x76C69646, (q31_t)0x2F875262, (q31_t)0x76D94988, + (q31_t)0x2F58A2BD, (q31_t)0x76EBEA77, (q31_t)0x2F29EBCC, + (q31_t)0x76FE790E, (q31_t)0x2EFB2D94, (q31_t)0x7710F54B, + (q31_t)0x2ECC681E, (q31_t)0x77235F2D, (q31_t)0x2E9D9B70, + (q31_t)0x7735B6AE, (q31_t)0x2E6EC792, (q31_t)0x7747FBCE, + (q31_t)0x2E3FEC8B, (q31_t)0x775A2E88, (q31_t)0x2E110A62, + (q31_t)0x776C4EDB, (q31_t)0x2DE2211E, (q31_t)0x777E5CC3, + (q31_t)0x2DB330C7, (q31_t)0x7790583D, (q31_t)0x2D843963, + (q31_t)0x77A24148, (q31_t)0x2D553AFB, (q31_t)0x77B417DF, + (q31_t)0x2D263595, (q31_t)0x77C5DC01, (q31_t)0x2CF72939, + (q31_t)0x77D78DAA, (q31_t)0x2CC815ED, (q31_t)0x77E92CD8, + (q31_t)0x2C98FBBA, (q31_t)0x77FAB988, (q31_t)0x2C69DAA6, + (q31_t)0x780C33B8, (q31_t)0x2C3AB2B9, (q31_t)0x781D9B64, + (q31_t)0x2C0B83F9, (q31_t)0x782EF08B, (q31_t)0x2BDC4E6F, + (q31_t)0x78403328, (q31_t)0x2BAD1221, (q31_t)0x7851633B, + (q31_t)0x2B7DCF17, (q31_t)0x786280BF, (q31_t)0x2B4E8558, + (q31_t)0x78738BB3, (q31_t)0x2B1F34EB, (q31_t)0x78848413, + (q31_t)0x2AEFDDD8, (q31_t)0x789569DE, (q31_t)0x2AC08025, + (q31_t)0x78A63D10, (q31_t)0x2A911BDB, (q31_t)0x78B6FDA8, + (q31_t)0x2A61B101, (q31_t)0x78C7ABA1, (q31_t)0x2A323F9D, + (q31_t)0x78D846FB, (q31_t)0x2A02C7B8, (q31_t)0x78E8CFB1, + (q31_t)0x29D34958, (q31_t)0x78F945C3, (q31_t)0x29A3C484, + (q31_t)0x7909A92C, (q31_t)0x29743945, (q31_t)0x7919F9EB, + (q31_t)0x2944A7A2, (q31_t)0x792A37FE, (q31_t)0x29150FA1, + (q31_t)0x793A6360, (q31_t)0x28E5714A, (q31_t)0x794A7C11, + (q31_t)0x28B5CCA5, (q31_t)0x795A820E, (q31_t)0x288621B9, + (q31_t)0x796A7554, (q31_t)0x2856708C, (q31_t)0x797A55E0, + (q31_t)0x2826B928, (q31_t)0x798A23B1, (q31_t)0x27F6FB92, + (q31_t)0x7999DEC3, (q31_t)0x27C737D2, (q31_t)0x79A98715, + (q31_t)0x27976DF1, (q31_t)0x79B91CA4, (q31_t)0x27679DF4, + (q31_t)0x79C89F6D, (q31_t)0x2737C7E3, (q31_t)0x79D80F6F, + (q31_t)0x2707EBC6, (q31_t)0x79E76CA6, (q31_t)0x26D809A5, + (q31_t)0x79F6B711, (q31_t)0x26A82185, (q31_t)0x7A05EEAD, + (q31_t)0x26783370, (q31_t)0x7A151377, (q31_t)0x26483F6C, + (q31_t)0x7A24256E, (q31_t)0x26184581, (q31_t)0x7A33248F, + (q31_t)0x25E845B5, (q31_t)0x7A4210D8, (q31_t)0x25B84012, + (q31_t)0x7A50EA46, (q31_t)0x2588349D, (q31_t)0x7A5FB0D8, + (q31_t)0x2558235E, (q31_t)0x7A6E648A, (q31_t)0x25280C5D, + (q31_t)0x7A7D055B, (q31_t)0x24F7EFA1, (q31_t)0x7A8B9348, + (q31_t)0x24C7CD32, (q31_t)0x7A9A0E4F, (q31_t)0x2497A517, + (q31_t)0x7AA8766E, (q31_t)0x24677757, (q31_t)0x7AB6CBA3, + (q31_t)0x243743FA, (q31_t)0x7AC50DEB, (q31_t)0x24070B07, + (q31_t)0x7AD33D45, (q31_t)0x23D6CC86, (q31_t)0x7AE159AE, + (q31_t)0x23A6887E, (q31_t)0x7AEF6323, (q31_t)0x23763EF7, + (q31_t)0x7AFD59A3, (q31_t)0x2345EFF7, (q31_t)0x7B0B3D2C, + (q31_t)0x23159B87, (q31_t)0x7B190DBB, (q31_t)0x22E541AE, + (q31_t)0x7B26CB4F, (q31_t)0x22B4E274, (q31_t)0x7B3475E4, + (q31_t)0x22847DDF, (q31_t)0x7B420D7A, (q31_t)0x225413F8, + (q31_t)0x7B4F920E, (q31_t)0x2223A4C5, (q31_t)0x7B5D039D, + (q31_t)0x21F3304E, (q31_t)0x7B6A6227, (q31_t)0x21C2B69C, + (q31_t)0x7B77ADA8, (q31_t)0x219237B4, (q31_t)0x7B84E61E, + (q31_t)0x2161B39F, (q31_t)0x7B920B89, (q31_t)0x21312A65, + (q31_t)0x7B9F1DE5, (q31_t)0x21009C0B, (q31_t)0x7BAC1D31, + (q31_t)0x20D0089B, (q31_t)0x7BB9096A, (q31_t)0x209F701C, + (q31_t)0x7BC5E28F, (q31_t)0x206ED295, (q31_t)0x7BD2A89E, + (q31_t)0x203E300D, (q31_t)0x7BDF5B94, (q31_t)0x200D888C, + (q31_t)0x7BEBFB70, (q31_t)0x1FDCDC1A, (q31_t)0x7BF88830, + (q31_t)0x1FAC2ABF, (q31_t)0x7C0501D1, (q31_t)0x1F7B7480, + (q31_t)0x7C116853, (q31_t)0x1F4AB967, (q31_t)0x7C1DBBB2, + (q31_t)0x1F19F97B, (q31_t)0x7C29FBEE, (q31_t)0x1EE934C2, + (q31_t)0x7C362904, (q31_t)0x1EB86B46, (q31_t)0x7C4242F2, + (q31_t)0x1E879D0C, (q31_t)0x7C4E49B6, (q31_t)0x1E56CA1E, + (q31_t)0x7C5A3D4F, (q31_t)0x1E25F281, (q31_t)0x7C661DBB, + (q31_t)0x1DF5163F, (q31_t)0x7C71EAF8, (q31_t)0x1DC4355D, + (q31_t)0x7C7DA504, (q31_t)0x1D934FE5, (q31_t)0x7C894BDD, + (q31_t)0x1D6265DD, (q31_t)0x7C94DF82, (q31_t)0x1D31774D, + (q31_t)0x7CA05FF1, (q31_t)0x1D00843C, (q31_t)0x7CABCD27, + (q31_t)0x1CCF8CB3, (q31_t)0x7CB72724, (q31_t)0x1C9E90B8, + (q31_t)0x7CC26DE5, (q31_t)0x1C6D9053, (q31_t)0x7CCDA168, + (q31_t)0x1C3C8B8C, (q31_t)0x7CD8C1AD, (q31_t)0x1C0B826A, + (q31_t)0x7CE3CEB1, (q31_t)0x1BDA74F5, (q31_t)0x7CEEC873, + (q31_t)0x1BA96334, (q31_t)0x7CF9AEF0, (q31_t)0x1B784D30, + (q31_t)0x7D048228, (q31_t)0x1B4732EF, (q31_t)0x7D0F4218, + (q31_t)0x1B161479, (q31_t)0x7D19EEBE, (q31_t)0x1AE4F1D6, + (q31_t)0x7D24881A, (q31_t)0x1AB3CB0C, (q31_t)0x7D2F0E2A, + (q31_t)0x1A82A025, (q31_t)0x7D3980EC, (q31_t)0x1A517127, + (q31_t)0x7D43E05E, (q31_t)0x1A203E1B, (q31_t)0x7D4E2C7E, + (q31_t)0x19EF0706, (q31_t)0x7D58654C, (q31_t)0x19BDCBF2, + (q31_t)0x7D628AC5, (q31_t)0x198C8CE6, (q31_t)0x7D6C9CE9, + (q31_t)0x195B49E9, (q31_t)0x7D769BB5, (q31_t)0x192A0303, + (q31_t)0x7D808727, (q31_t)0x18F8B83C, (q31_t)0x7D8A5F3F, + (q31_t)0x18C7699B, (q31_t)0x7D9423FB, (q31_t)0x18961727, + (q31_t)0x7D9DD55A, (q31_t)0x1864C0E9, (q31_t)0x7DA77359, + (q31_t)0x183366E8, (q31_t)0x7DB0FDF7, (q31_t)0x1802092C, + (q31_t)0x7DBA7534, (q31_t)0x17D0A7BB, (q31_t)0x7DC3D90D, + (q31_t)0x179F429F, (q31_t)0x7DCD2981, (q31_t)0x176DD9DE, + (q31_t)0x7DD6668E, (q31_t)0x173C6D80, (q31_t)0x7DDF9034, + (q31_t)0x170AFD8D, (q31_t)0x7DE8A670, (q31_t)0x16D98A0C, + (q31_t)0x7DF1A942, (q31_t)0x16A81305, (q31_t)0x7DFA98A7, + (q31_t)0x1676987F, (q31_t)0x7E03749F, (q31_t)0x16451A83, + (q31_t)0x7E0C3D29, (q31_t)0x16139917, (q31_t)0x7E14F242, + (q31_t)0x15E21444, (q31_t)0x7E1D93E9, (q31_t)0x15B08C11, + (q31_t)0x7E26221E, (q31_t)0x157F0086, (q31_t)0x7E2E9CDF, + (q31_t)0x154D71AA, (q31_t)0x7E37042A, (q31_t)0x151BDF85, + (q31_t)0x7E3F57FE, (q31_t)0x14EA4A1F, (q31_t)0x7E47985B, + (q31_t)0x14B8B17F, (q31_t)0x7E4FC53E, (q31_t)0x148715AD, + (q31_t)0x7E57DEA6, (q31_t)0x145576B1, (q31_t)0x7E5FE493, + (q31_t)0x1423D492, (q31_t)0x7E67D702, (q31_t)0x13F22F57, + (q31_t)0x7E6FB5F3, (q31_t)0x13C0870A, (q31_t)0x7E778165, + (q31_t)0x138EDBB0, (q31_t)0x7E7F3956, (q31_t)0x135D2D53, + (q31_t)0x7E86DDC5, (q31_t)0x132B7BF9, (q31_t)0x7E8E6EB1, + (q31_t)0x12F9C7AA, (q31_t)0x7E95EC19, (q31_t)0x12C8106E, + (q31_t)0x7E9D55FC, (q31_t)0x1296564D, (q31_t)0x7EA4AC58, + (q31_t)0x1264994E, (q31_t)0x7EABEF2C, (q31_t)0x1232D978, + (q31_t)0x7EB31E77, (q31_t)0x120116D4, (q31_t)0x7EBA3A39, + (q31_t)0x11CF516A, (q31_t)0x7EC1426F, (q31_t)0x119D8940, + (q31_t)0x7EC8371A, (q31_t)0x116BBE5F, (q31_t)0x7ECF1837, + (q31_t)0x1139F0CE, (q31_t)0x7ED5E5C6, (q31_t)0x11082096, + (q31_t)0x7EDC9FC6, (q31_t)0x10D64DBC, (q31_t)0x7EE34635, + (q31_t)0x10A4784A, (q31_t)0x7EE9D913, (q31_t)0x1072A047, + (q31_t)0x7EF0585F, (q31_t)0x1040C5BB, (q31_t)0x7EF6C418, + (q31_t)0x100EE8AD, (q31_t)0x7EFD1C3C, (q31_t)0x0FDD0925, + (q31_t)0x7F0360CB, (q31_t)0x0FAB272B, (q31_t)0x7F0991C3, + (q31_t)0x0F7942C6, (q31_t)0x7F0FAF24, (q31_t)0x0F475BFE, + (q31_t)0x7F15B8EE, (q31_t)0x0F1572DC, (q31_t)0x7F1BAF1E, + (q31_t)0x0EE38765, (q31_t)0x7F2191B4, (q31_t)0x0EB199A3, + (q31_t)0x7F2760AF, (q31_t)0x0E7FA99D, (q31_t)0x7F2D1C0E, + (q31_t)0x0E4DB75B, (q31_t)0x7F32C3D0, (q31_t)0x0E1BC2E3, + (q31_t)0x7F3857F5, (q31_t)0x0DE9CC3F, (q31_t)0x7F3DD87C, + (q31_t)0x0DB7D376, (q31_t)0x7F434563, (q31_t)0x0D85D88F, + (q31_t)0x7F489EAA, (q31_t)0x0D53DB92, (q31_t)0x7F4DE450, + (q31_t)0x0D21DC87, (q31_t)0x7F531654, (q31_t)0x0CEFDB75, + (q31_t)0x7F5834B6, (q31_t)0x0CBDD865, (q31_t)0x7F5D3F75, + (q31_t)0x0C8BD35E, (q31_t)0x7F62368F, (q31_t)0x0C59CC67, + (q31_t)0x7F671A04, (q31_t)0x0C27C389, (q31_t)0x7F6BE9D4, + (q31_t)0x0BF5B8CB, (q31_t)0x7F70A5FD, (q31_t)0x0BC3AC35, + (q31_t)0x7F754E7F, (q31_t)0x0B919DCE, (q31_t)0x7F79E35A, + (q31_t)0x0B5F8D9F, (q31_t)0x7F7E648B, (q31_t)0x0B2D7BAE, + (q31_t)0x7F82D214, (q31_t)0x0AFB6805, (q31_t)0x7F872BF3, + (q31_t)0x0AC952AA, (q31_t)0x7F8B7226, (q31_t)0x0A973BA5, + (q31_t)0x7F8FA4AF, (q31_t)0x0A6522FE, (q31_t)0x7F93C38C, + (q31_t)0x0A3308BC, (q31_t)0x7F97CEBC, (q31_t)0x0A00ECE8, + (q31_t)0x7F9BC63F, (q31_t)0x09CECF89, (q31_t)0x7F9FAA15, + (q31_t)0x099CB0A7, (q31_t)0x7FA37A3C, (q31_t)0x096A9049, + (q31_t)0x7FA736B4, (q31_t)0x09386E77, (q31_t)0x7FAADF7C, + (q31_t)0x09064B3A, (q31_t)0x7FAE7494, (q31_t)0x08D42698, + (q31_t)0x7FB1F5FC, (q31_t)0x08A2009A, (q31_t)0x7FB563B2, + (q31_t)0x086FD947, (q31_t)0x7FB8BDB7, (q31_t)0x083DB0A7, + (q31_t)0x7FBC040A, (q31_t)0x080B86C1, (q31_t)0x7FBF36A9, + (q31_t)0x07D95B9E, (q31_t)0x7FC25596, (q31_t)0x07A72F45, + (q31_t)0x7FC560CF, (q31_t)0x077501BE, (q31_t)0x7FC85853, + (q31_t)0x0742D310, (q31_t)0x7FCB3C23, (q31_t)0x0710A344, + (q31_t)0x7FCE0C3E, (q31_t)0x06DE7261, (q31_t)0x7FD0C8A3, + (q31_t)0x06AC406F, (q31_t)0x7FD37152, (q31_t)0x067A0D75, + (q31_t)0x7FD6064B, (q31_t)0x0647D97C, (q31_t)0x7FD8878D, + (q31_t)0x0615A48A, (q31_t)0x7FDAF518, (q31_t)0x05E36EA9, + (q31_t)0x7FDD4EEC, (q31_t)0x05B137DF, (q31_t)0x7FDF9508, + (q31_t)0x057F0034, (q31_t)0x7FE1C76B, (q31_t)0x054CC7B0, + (q31_t)0x7FE3E616, (q31_t)0x051A8E5C, (q31_t)0x7FE5F108, + (q31_t)0x04E8543D, (q31_t)0x7FE7E840, (q31_t)0x04B6195D, + (q31_t)0x7FE9CBC0, (q31_t)0x0483DDC3, (q31_t)0x7FEB9B85, + (q31_t)0x0451A176, (q31_t)0x7FED5790, (q31_t)0x041F647F, + (q31_t)0x7FEEFFE1, (q31_t)0x03ED26E6, (q31_t)0x7FF09477, + (q31_t)0x03BAE8B1, (q31_t)0x7FF21553, (q31_t)0x0388A9E9, + (q31_t)0x7FF38273, (q31_t)0x03566A96, (q31_t)0x7FF4DBD8, + (q31_t)0x03242ABF, (q31_t)0x7FF62182, (q31_t)0x02F1EA6B, + (q31_t)0x7FF7536F, (q31_t)0x02BFA9A4, (q31_t)0x7FF871A1, + (q31_t)0x028D6870, (q31_t)0x7FF97C17, (q31_t)0x025B26D7, + (q31_t)0x7FFA72D1, (q31_t)0x0228E4E1, (q31_t)0x7FFB55CE, + (q31_t)0x01F6A296, (q31_t)0x7FFC250F, (q31_t)0x01C45FFE, + (q31_t)0x7FFCE093, (q31_t)0x01921D1F, (q31_t)0x7FFD885A, + (q31_t)0x015FDA03, (q31_t)0x7FFE1C64, (q31_t)0x012D96B0, + (q31_t)0x7FFE9CB2, (q31_t)0x00FB532F, (q31_t)0x7FFF0942, + (q31_t)0x00C90F88, (q31_t)0x7FFF6216, (q31_t)0x0096CBC1, + (q31_t)0x7FFFA72C, (q31_t)0x006487E3, (q31_t)0x7FFFD885, + (q31_t)0x003243F5, (q31_t)0x7FFFF621, (q31_t)0x00000000, + (q31_t)0x7FFFFFFF, (q31_t)0xFFCDBC0A, (q31_t)0x7FFFF621, + (q31_t)0xFF9B781D, (q31_t)0x7FFFD885, (q31_t)0xFF69343E, + (q31_t)0x7FFFA72C, (q31_t)0xFF36F078, (q31_t)0x7FFF6216, + (q31_t)0xFF04ACD0, (q31_t)0x7FFF0942, (q31_t)0xFED2694F, + (q31_t)0x7FFE9CB2, (q31_t)0xFEA025FC, (q31_t)0x7FFE1C64, + (q31_t)0xFE6DE2E0, (q31_t)0x7FFD885A, (q31_t)0xFE3BA001, + (q31_t)0x7FFCE093, (q31_t)0xFE095D69, (q31_t)0x7FFC250F, + (q31_t)0xFDD71B1E, (q31_t)0x7FFB55CE, (q31_t)0xFDA4D928, + (q31_t)0x7FFA72D1, (q31_t)0xFD72978F, (q31_t)0x7FF97C17, + (q31_t)0xFD40565B, (q31_t)0x7FF871A1, (q31_t)0xFD0E1594, + (q31_t)0x7FF7536F, (q31_t)0xFCDBD541, (q31_t)0x7FF62182, + (q31_t)0xFCA99569, (q31_t)0x7FF4DBD8, (q31_t)0xFC775616, + (q31_t)0x7FF38273, (q31_t)0xFC45174E, (q31_t)0x7FF21553, + (q31_t)0xFC12D919, (q31_t)0x7FF09477, (q31_t)0xFBE09B80, + (q31_t)0x7FEEFFE1, (q31_t)0xFBAE5E89, (q31_t)0x7FED5790, + (q31_t)0xFB7C223C, (q31_t)0x7FEB9B85, (q31_t)0xFB49E6A2, + (q31_t)0x7FE9CBC0, (q31_t)0xFB17ABC2, (q31_t)0x7FE7E840, + (q31_t)0xFAE571A4, (q31_t)0x7FE5F108, (q31_t)0xFAB3384F, + (q31_t)0x7FE3E616, (q31_t)0xFA80FFCB, (q31_t)0x7FE1C76B, + (q31_t)0xFA4EC820, (q31_t)0x7FDF9508, (q31_t)0xFA1C9156, + (q31_t)0x7FDD4EEC, (q31_t)0xF9EA5B75, (q31_t)0x7FDAF518, + (q31_t)0xF9B82683, (q31_t)0x7FD8878D, (q31_t)0xF985F28A, + (q31_t)0x7FD6064B, (q31_t)0xF953BF90, (q31_t)0x7FD37152, + (q31_t)0xF9218D9E, (q31_t)0x7FD0C8A3, (q31_t)0xF8EF5CBB, + (q31_t)0x7FCE0C3E, (q31_t)0xF8BD2CEF, (q31_t)0x7FCB3C23, + (q31_t)0xF88AFE41, (q31_t)0x7FC85853, (q31_t)0xF858D0BA, + (q31_t)0x7FC560CF, (q31_t)0xF826A461, (q31_t)0x7FC25596, + (q31_t)0xF7F4793E, (q31_t)0x7FBF36A9, (q31_t)0xF7C24F58, + (q31_t)0x7FBC040A, (q31_t)0xF79026B8, (q31_t)0x7FB8BDB7, + (q31_t)0xF75DFF65, (q31_t)0x7FB563B2, (q31_t)0xF72BD967, + (q31_t)0x7FB1F5FC, (q31_t)0xF6F9B4C5, (q31_t)0x7FAE7494, + (q31_t)0xF6C79188, (q31_t)0x7FAADF7C, (q31_t)0xF6956FB6, + (q31_t)0x7FA736B4, (q31_t)0xF6634F58, (q31_t)0x7FA37A3C, + (q31_t)0xF6313076, (q31_t)0x7F9FAA15, (q31_t)0xF5FF1317, + (q31_t)0x7F9BC63F, (q31_t)0xF5CCF743, (q31_t)0x7F97CEBC, + (q31_t)0xF59ADD01, (q31_t)0x7F93C38C, (q31_t)0xF568C45A, + (q31_t)0x7F8FA4AF, (q31_t)0xF536AD55, (q31_t)0x7F8B7226, + (q31_t)0xF50497FA, (q31_t)0x7F872BF3, (q31_t)0xF4D28451, + (q31_t)0x7F82D214, (q31_t)0xF4A07260, (q31_t)0x7F7E648B, + (q31_t)0xF46E6231, (q31_t)0x7F79E35A, (q31_t)0xF43C53CA, + (q31_t)0x7F754E7F, (q31_t)0xF40A4734, (q31_t)0x7F70A5FD, + (q31_t)0xF3D83C76, (q31_t)0x7F6BE9D4, (q31_t)0xF3A63398, + (q31_t)0x7F671A04, (q31_t)0xF3742CA1, (q31_t)0x7F62368F, + (q31_t)0xF342279A, (q31_t)0x7F5D3F75, (q31_t)0xF310248A, + (q31_t)0x7F5834B6, (q31_t)0xF2DE2378, (q31_t)0x7F531654, + (q31_t)0xF2AC246D, (q31_t)0x7F4DE450, (q31_t)0xF27A2770, + (q31_t)0x7F489EAA, (q31_t)0xF2482C89, (q31_t)0x7F434563, + (q31_t)0xF21633C0, (q31_t)0x7F3DD87C, (q31_t)0xF1E43D1C, + (q31_t)0x7F3857F5, (q31_t)0xF1B248A5, (q31_t)0x7F32C3D0, + (q31_t)0xF1805662, (q31_t)0x7F2D1C0E, (q31_t)0xF14E665C, + (q31_t)0x7F2760AF, (q31_t)0xF11C789A, (q31_t)0x7F2191B4, + (q31_t)0xF0EA8D23, (q31_t)0x7F1BAF1E, (q31_t)0xF0B8A401, + (q31_t)0x7F15B8EE, (q31_t)0xF086BD39, (q31_t)0x7F0FAF24, + (q31_t)0xF054D8D4, (q31_t)0x7F0991C3, (q31_t)0xF022F6DA, + (q31_t)0x7F0360CB, (q31_t)0xEFF11752, (q31_t)0x7EFD1C3C, + (q31_t)0xEFBF3A44, (q31_t)0x7EF6C418, (q31_t)0xEF8D5FB8, + (q31_t)0x7EF0585F, (q31_t)0xEF5B87B5, (q31_t)0x7EE9D913, + (q31_t)0xEF29B243, (q31_t)0x7EE34635, (q31_t)0xEEF7DF6A, + (q31_t)0x7EDC9FC6, (q31_t)0xEEC60F31, (q31_t)0x7ED5E5C6, + (q31_t)0xEE9441A0, (q31_t)0x7ECF1837, (q31_t)0xEE6276BF, + (q31_t)0x7EC8371A, (q31_t)0xEE30AE95, (q31_t)0x7EC1426F, + (q31_t)0xEDFEE92B, (q31_t)0x7EBA3A39, (q31_t)0xEDCD2687, + (q31_t)0x7EB31E77, (q31_t)0xED9B66B2, (q31_t)0x7EABEF2C, + (q31_t)0xED69A9B2, (q31_t)0x7EA4AC58, (q31_t)0xED37EF91, + (q31_t)0x7E9D55FC, (q31_t)0xED063855, (q31_t)0x7E95EC19, + (q31_t)0xECD48406, (q31_t)0x7E8E6EB1, (q31_t)0xECA2D2AC, + (q31_t)0x7E86DDC5, (q31_t)0xEC71244F, (q31_t)0x7E7F3956, + (q31_t)0xEC3F78F5, (q31_t)0x7E778165, (q31_t)0xEC0DD0A8, + (q31_t)0x7E6FB5F3, (q31_t)0xEBDC2B6D, (q31_t)0x7E67D702, + (q31_t)0xEBAA894E, (q31_t)0x7E5FE493, (q31_t)0xEB78EA52, + (q31_t)0x7E57DEA6, (q31_t)0xEB474E80, (q31_t)0x7E4FC53E, + (q31_t)0xEB15B5E0, (q31_t)0x7E47985B, (q31_t)0xEAE4207A, + (q31_t)0x7E3F57FE, (q31_t)0xEAB28E55, (q31_t)0x7E37042A, + (q31_t)0xEA80FF79, (q31_t)0x7E2E9CDF, (q31_t)0xEA4F73EE, + (q31_t)0x7E26221E, (q31_t)0xEA1DEBBB, (q31_t)0x7E1D93E9, + (q31_t)0xE9EC66E8, (q31_t)0x7E14F242, (q31_t)0xE9BAE57C, + (q31_t)0x7E0C3D29, (q31_t)0xE9896780, (q31_t)0x7E03749F, + (q31_t)0xE957ECFB, (q31_t)0x7DFA98A7, (q31_t)0xE92675F4, + (q31_t)0x7DF1A942, (q31_t)0xE8F50273, (q31_t)0x7DE8A670, + (q31_t)0xE8C3927F, (q31_t)0x7DDF9034, (q31_t)0xE8922621, + (q31_t)0x7DD6668E, (q31_t)0xE860BD60, (q31_t)0x7DCD2981, + (q31_t)0xE82F5844, (q31_t)0x7DC3D90D, (q31_t)0xE7FDF6D3, + (q31_t)0x7DBA7534, (q31_t)0xE7CC9917, (q31_t)0x7DB0FDF7, + (q31_t)0xE79B3F16, (q31_t)0x7DA77359, (q31_t)0xE769E8D8, + (q31_t)0x7D9DD55A, (q31_t)0xE7389664, (q31_t)0x7D9423FB, + (q31_t)0xE70747C3, (q31_t)0x7D8A5F3F, (q31_t)0xE6D5FCFC, + (q31_t)0x7D808727, (q31_t)0xE6A4B616, (q31_t)0x7D769BB5, + (q31_t)0xE6737319, (q31_t)0x7D6C9CE9, (q31_t)0xE642340D, + (q31_t)0x7D628AC5, (q31_t)0xE610F8F9, (q31_t)0x7D58654C, + (q31_t)0xE5DFC1E4, (q31_t)0x7D4E2C7E, (q31_t)0xE5AE8ED8, + (q31_t)0x7D43E05E, (q31_t)0xE57D5FDA, (q31_t)0x7D3980EC, + (q31_t)0xE54C34F3, (q31_t)0x7D2F0E2A, (q31_t)0xE51B0E2A, + (q31_t)0x7D24881A, (q31_t)0xE4E9EB86, (q31_t)0x7D19EEBE, + (q31_t)0xE4B8CD10, (q31_t)0x7D0F4218, (q31_t)0xE487B2CF, + (q31_t)0x7D048228, (q31_t)0xE4569CCB, (q31_t)0x7CF9AEF0, + (q31_t)0xE4258B0A, (q31_t)0x7CEEC873, (q31_t)0xE3F47D95, + (q31_t)0x7CE3CEB1, (q31_t)0xE3C37473, (q31_t)0x7CD8C1AD, + (q31_t)0xE3926FAC, (q31_t)0x7CCDA168, (q31_t)0xE3616F47, + (q31_t)0x7CC26DE5, (q31_t)0xE330734C, (q31_t)0x7CB72724, + (q31_t)0xE2FF7BC3, (q31_t)0x7CABCD27, (q31_t)0xE2CE88B2, + (q31_t)0x7CA05FF1, (q31_t)0xE29D9A22, (q31_t)0x7C94DF82, + (q31_t)0xE26CB01A, (q31_t)0x7C894BDD, (q31_t)0xE23BCAA2, + (q31_t)0x7C7DA504, (q31_t)0xE20AE9C1, (q31_t)0x7C71EAF8, + (q31_t)0xE1DA0D7E, (q31_t)0x7C661DBB, (q31_t)0xE1A935E1, + (q31_t)0x7C5A3D4F, (q31_t)0xE17862F3, (q31_t)0x7C4E49B6, + (q31_t)0xE14794B9, (q31_t)0x7C4242F2, (q31_t)0xE116CB3D, + (q31_t)0x7C362904, (q31_t)0xE0E60684, (q31_t)0x7C29FBEE, + (q31_t)0xE0B54698, (q31_t)0x7C1DBBB2, (q31_t)0xE0848B7F, + (q31_t)0x7C116853, (q31_t)0xE053D541, (q31_t)0x7C0501D1, + (q31_t)0xE02323E5, (q31_t)0x7BF88830, (q31_t)0xDFF27773, + (q31_t)0x7BEBFB70, (q31_t)0xDFC1CFF2, (q31_t)0x7BDF5B94, + (q31_t)0xDF912D6A, (q31_t)0x7BD2A89E, (q31_t)0xDF608FE3, + (q31_t)0x7BC5E28F, (q31_t)0xDF2FF764, (q31_t)0x7BB9096A, + (q31_t)0xDEFF63F4, (q31_t)0x7BAC1D31, (q31_t)0xDECED59B, + (q31_t)0x7B9F1DE5, (q31_t)0xDE9E4C60, (q31_t)0x7B920B89, + (q31_t)0xDE6DC84B, (q31_t)0x7B84E61E, (q31_t)0xDE3D4963, + (q31_t)0x7B77ADA8, (q31_t)0xDE0CCFB1, (q31_t)0x7B6A6227, + (q31_t)0xDDDC5B3A, (q31_t)0x7B5D039D, (q31_t)0xDDABEC07, + (q31_t)0x7B4F920E, (q31_t)0xDD7B8220, (q31_t)0x7B420D7A, + (q31_t)0xDD4B1D8B, (q31_t)0x7B3475E4, (q31_t)0xDD1ABE51, + (q31_t)0x7B26CB4F, (q31_t)0xDCEA6478, (q31_t)0x7B190DBB, + (q31_t)0xDCBA1008, (q31_t)0x7B0B3D2C, (q31_t)0xDC89C108, + (q31_t)0x7AFD59A3, (q31_t)0xDC597781, (q31_t)0x7AEF6323, + (q31_t)0xDC293379, (q31_t)0x7AE159AE, (q31_t)0xDBF8F4F8, + (q31_t)0x7AD33D45, (q31_t)0xDBC8BC05, (q31_t)0x7AC50DEB, + (q31_t)0xDB9888A8, (q31_t)0x7AB6CBA3, (q31_t)0xDB685AE8, + (q31_t)0x7AA8766E, (q31_t)0xDB3832CD, (q31_t)0x7A9A0E4F, + (q31_t)0xDB08105E, (q31_t)0x7A8B9348, (q31_t)0xDAD7F3A2, + (q31_t)0x7A7D055B, (q31_t)0xDAA7DCA1, (q31_t)0x7A6E648A, + (q31_t)0xDA77CB62, (q31_t)0x7A5FB0D8, (q31_t)0xDA47BFED, + (q31_t)0x7A50EA46, (q31_t)0xDA17BA4A, (q31_t)0x7A4210D8, + (q31_t)0xD9E7BA7E, (q31_t)0x7A33248F, (q31_t)0xD9B7C093, + (q31_t)0x7A24256E, (q31_t)0xD987CC8F, (q31_t)0x7A151377, + (q31_t)0xD957DE7A, (q31_t)0x7A05EEAD, (q31_t)0xD927F65B, + (q31_t)0x79F6B711, (q31_t)0xD8F81439, (q31_t)0x79E76CA6, + (q31_t)0xD8C8381C, (q31_t)0x79D80F6F, (q31_t)0xD898620C, + (q31_t)0x79C89F6D, (q31_t)0xD868920F, (q31_t)0x79B91CA4, + (q31_t)0xD838C82D, (q31_t)0x79A98715, (q31_t)0xD809046D, + (q31_t)0x7999DEC3, (q31_t)0xD7D946D7, (q31_t)0x798A23B1, + (q31_t)0xD7A98F73, (q31_t)0x797A55E0, (q31_t)0xD779DE46, + (q31_t)0x796A7554, (q31_t)0xD74A335A, (q31_t)0x795A820E, + (q31_t)0xD71A8EB5, (q31_t)0x794A7C11, (q31_t)0xD6EAF05E, + (q31_t)0x793A6360, (q31_t)0xD6BB585D, (q31_t)0x792A37FE, + (q31_t)0xD68BC6BA, (q31_t)0x7919F9EB, (q31_t)0xD65C3B7B, + (q31_t)0x7909A92C, (q31_t)0xD62CB6A7, (q31_t)0x78F945C3, + (q31_t)0xD5FD3847, (q31_t)0x78E8CFB1, (q31_t)0xD5CDC062, + (q31_t)0x78D846FB, (q31_t)0xD59E4EFE, (q31_t)0x78C7ABA1, + (q31_t)0xD56EE424, (q31_t)0x78B6FDA8, (q31_t)0xD53F7FDA, + (q31_t)0x78A63D10, (q31_t)0xD5102227, (q31_t)0x789569DE, + (q31_t)0xD4E0CB14, (q31_t)0x78848413, (q31_t)0xD4B17AA7, + (q31_t)0x78738BB3, (q31_t)0xD48230E8, (q31_t)0x786280BF, + (q31_t)0xD452EDDE, (q31_t)0x7851633B, (q31_t)0xD423B190, + (q31_t)0x78403328, (q31_t)0xD3F47C06, (q31_t)0x782EF08B, + (q31_t)0xD3C54D46, (q31_t)0x781D9B64, (q31_t)0xD3962559, + (q31_t)0x780C33B8, (q31_t)0xD3670445, (q31_t)0x77FAB988, + (q31_t)0xD337EA12, (q31_t)0x77E92CD8, (q31_t)0xD308D6C6, + (q31_t)0x77D78DAA, (q31_t)0xD2D9CA6A, (q31_t)0x77C5DC01, + (q31_t)0xD2AAC504, (q31_t)0x77B417DF, (q31_t)0xD27BC69C, + (q31_t)0x77A24148, (q31_t)0xD24CCF38, (q31_t)0x7790583D, + (q31_t)0xD21DDEE1, (q31_t)0x777E5CC3, (q31_t)0xD1EEF59E, + (q31_t)0x776C4EDB, (q31_t)0xD1C01374, (q31_t)0x775A2E88, + (q31_t)0xD191386D, (q31_t)0x7747FBCE, (q31_t)0xD162648F, + (q31_t)0x7735B6AE, (q31_t)0xD13397E1, (q31_t)0x77235F2D, + (q31_t)0xD104D26B, (q31_t)0x7710F54B, (q31_t)0xD0D61433, + (q31_t)0x76FE790E, (q31_t)0xD0A75D42, (q31_t)0x76EBEA77, + (q31_t)0xD078AD9D, (q31_t)0x76D94988, (q31_t)0xD04A054D, + (q31_t)0x76C69646, (q31_t)0xD01B6459, (q31_t)0x76B3D0B3, + (q31_t)0xCFECCAC7, (q31_t)0x76A0F8D2, (q31_t)0xCFBE389F, + (q31_t)0x768E0EA5, (q31_t)0xCF8FADE8, (q31_t)0x767B1230, + (q31_t)0xCF612AAA, (q31_t)0x76680376, (q31_t)0xCF32AEEB, + (q31_t)0x7654E279, (q31_t)0xCF043AB2, (q31_t)0x7641AF3C, + (q31_t)0xCED5CE08, (q31_t)0x762E69C3, (q31_t)0xCEA768F2, + (q31_t)0x761B1211, (q31_t)0xCE790B78, (q31_t)0x7607A827, + (q31_t)0xCE4AB5A2, (q31_t)0x75F42C0A, (q31_t)0xCE1C6776, + (q31_t)0x75E09DBD, (q31_t)0xCDEE20FC, (q31_t)0x75CCFD42, + (q31_t)0xCDBFE23A, (q31_t)0x75B94A9C, (q31_t)0xCD91AB38, + (q31_t)0x75A585CF, (q31_t)0xCD637BFD, (q31_t)0x7591AEDD, + (q31_t)0xCD355490, (q31_t)0x757DC5CA, (q31_t)0xCD0734F8, + (q31_t)0x7569CA98, (q31_t)0xCCD91D3D, (q31_t)0x7555BD4B, + (q31_t)0xCCAB0D65, (q31_t)0x75419DE6, (q31_t)0xCC7D0577, + (q31_t)0x752D6C6C, (q31_t)0xCC4F057B, (q31_t)0x751928E0, + (q31_t)0xCC210D78, (q31_t)0x7504D345, (q31_t)0xCBF31D75, + (q31_t)0x74F06B9E, (q31_t)0xCBC53578, (q31_t)0x74DBF1EF, + (q31_t)0xCB975589, (q31_t)0x74C7663A, (q31_t)0xCB697DB0, + (q31_t)0x74B2C883, (q31_t)0xCB3BADF2, (q31_t)0x749E18CD, + (q31_t)0xCB0DE658, (q31_t)0x7489571B, (q31_t)0xCAE026E8, + (q31_t)0x74748371, (q31_t)0xCAB26FA9, (q31_t)0x745F9DD1, + (q31_t)0xCA84C0A2, (q31_t)0x744AA63E, (q31_t)0xCA5719DB, + (q31_t)0x74359CBD, (q31_t)0xCA297B5A, (q31_t)0x74208150, + (q31_t)0xC9FBE527, (q31_t)0x740B53FA, (q31_t)0xC9CE5748, + (q31_t)0x73F614C0, (q31_t)0xC9A0D1C4, (q31_t)0x73E0C3A3, + (q31_t)0xC97354A3, (q31_t)0x73CB60A7, (q31_t)0xC945DFEC, + (q31_t)0x73B5EBD0, (q31_t)0xC91873A5, (q31_t)0x73A06522, + (q31_t)0xC8EB0FD6, (q31_t)0x738ACC9E, (q31_t)0xC8BDB485, + (q31_t)0x73752249, (q31_t)0xC89061BA, (q31_t)0x735F6626, + (q31_t)0xC863177B, (q31_t)0x73499838, (q31_t)0xC835D5D0, + (q31_t)0x7333B883, (q31_t)0xC8089CBF, (q31_t)0x731DC709, + (q31_t)0xC7DB6C50, (q31_t)0x7307C3D0, (q31_t)0xC7AE4489, + (q31_t)0x72F1AED8, (q31_t)0xC7812571, (q31_t)0x72DB8828, + (q31_t)0xC7540F10, (q31_t)0x72C54FC0, (q31_t)0xC727016C, + (q31_t)0x72AF05A6, (q31_t)0xC6F9FC8D, (q31_t)0x7298A9DC, + (q31_t)0xC6CD0079, (q31_t)0x72823C66, (q31_t)0xC6A00D36, + (q31_t)0x726BBD48, (q31_t)0xC67322CD, (q31_t)0x72552C84, + (q31_t)0xC6464144, (q31_t)0x723E8A1F, (q31_t)0xC61968A2, + (q31_t)0x7227D61C, (q31_t)0xC5EC98ED, (q31_t)0x7211107D, + (q31_t)0xC5BFD22E, (q31_t)0x71FA3948, (q31_t)0xC593146A, + (q31_t)0x71E3507F, (q31_t)0xC5665FA8, (q31_t)0x71CC5626, + (q31_t)0xC539B3F0, (q31_t)0x71B54A40, (q31_t)0xC50D1148, + (q31_t)0x719E2CD2, (q31_t)0xC4E077B8, (q31_t)0x7186FDDE, + (q31_t)0xC4B3E746, (q31_t)0x716FBD68, (q31_t)0xC4875FF8, + (q31_t)0x71586B73, (q31_t)0xC45AE1D7, (q31_t)0x71410804, + (q31_t)0xC42E6CE8, (q31_t)0x7129931E, (q31_t)0xC4020132, + (q31_t)0x71120CC5, (q31_t)0xC3D59EBD, (q31_t)0x70FA74FB, + (q31_t)0xC3A9458F, (q31_t)0x70E2CBC6, (q31_t)0xC37CF5B0, + (q31_t)0x70CB1127, (q31_t)0xC350AF25, (q31_t)0x70B34524, + (q31_t)0xC32471F6, (q31_t)0x709B67C0, (q31_t)0xC2F83E2A, + (q31_t)0x708378FE, (q31_t)0xC2CC13C7, (q31_t)0x706B78E3, + (q31_t)0xC29FF2D4, (q31_t)0x70536771, (q31_t)0xC273DB58, + (q31_t)0x703B44AC, (q31_t)0xC247CD5A, (q31_t)0x70231099, + (q31_t)0xC21BC8E0, (q31_t)0x700ACB3B, (q31_t)0xC1EFCDF2, + (q31_t)0x6FF27496, (q31_t)0xC1C3DC96, (q31_t)0x6FDA0CAD, + (q31_t)0xC197F4D3, (q31_t)0x6FC19385, (q31_t)0xC16C16B0, + (q31_t)0x6FA90920, (q31_t)0xC1404233, (q31_t)0x6F906D84, + (q31_t)0xC1147763, (q31_t)0x6F77C0B3, (q31_t)0xC0E8B648, + (q31_t)0x6F5F02B1, (q31_t)0xC0BCFEE7, (q31_t)0x6F463383, + (q31_t)0xC0915147, (q31_t)0x6F2D532C, (q31_t)0xC065AD70, + (q31_t)0x6F1461AF, (q31_t)0xC03A1368, (q31_t)0x6EFB5F12, + (q31_t)0xC00E8335, (q31_t)0x6EE24B57, (q31_t)0xBFE2FCDF, + (q31_t)0x6EC92682, (q31_t)0xBFB7806C, (q31_t)0x6EAFF098, + (q31_t)0xBF8C0DE2, (q31_t)0x6E96A99C, (q31_t)0xBF60A54A, + (q31_t)0x6E7D5193, (q31_t)0xBF3546A8, (q31_t)0x6E63E87F, + (q31_t)0xBF09F204, (q31_t)0x6E4A6E65, (q31_t)0xBEDEA765, + (q31_t)0x6E30E349, (q31_t)0xBEB366D1, (q31_t)0x6E17472F, + (q31_t)0xBE88304F, (q31_t)0x6DFD9A1B, (q31_t)0xBE5D03E5, + (q31_t)0x6DE3DC11, (q31_t)0xBE31E19B, (q31_t)0x6DCA0D14, + (q31_t)0xBE06C977, (q31_t)0x6DB02D29, (q31_t)0xBDDBBB7F, + (q31_t)0x6D963C54, (q31_t)0xBDB0B7BA, (q31_t)0x6D7C3A98, + (q31_t)0xBD85BE2F, (q31_t)0x6D6227FA, (q31_t)0xBD5ACEE5, + (q31_t)0x6D48047E, (q31_t)0xBD2FE9E1, (q31_t)0x6D2DD027, + (q31_t)0xBD050F2C, (q31_t)0x6D138AFA, (q31_t)0xBCDA3ECA, + (q31_t)0x6CF934FB, (q31_t)0xBCAF78C3, (q31_t)0x6CDECE2E, + (q31_t)0xBC84BD1E, (q31_t)0x6CC45697, (q31_t)0xBC5A0BE1, + (q31_t)0x6CA9CE3A, (q31_t)0xBC2F6513, (q31_t)0x6C8F351C, + (q31_t)0xBC04C8BA, (q31_t)0x6C748B3F, (q31_t)0xBBDA36DC, + (q31_t)0x6C59D0A9, (q31_t)0xBBAFAF81, (q31_t)0x6C3F055D, + (q31_t)0xBB8532AF, (q31_t)0x6C242960, (q31_t)0xBB5AC06C, + (q31_t)0x6C093CB6, (q31_t)0xBB3058C0, (q31_t)0x6BEE3F62, + (q31_t)0xBB05FBB0, (q31_t)0x6BD3316A, (q31_t)0xBADBA943, + (q31_t)0x6BB812D0, (q31_t)0xBAB1617F, (q31_t)0x6B9CE39B, + (q31_t)0xBA87246C, (q31_t)0x6B81A3CD, (q31_t)0xBA5CF210, + (q31_t)0x6B66536A, (q31_t)0xBA32CA70, (q31_t)0x6B4AF278, + (q31_t)0xBA08AD94, (q31_t)0x6B2F80FA, (q31_t)0xB9DE9B83, + (q31_t)0x6B13FEF5, (q31_t)0xB9B49442, (q31_t)0x6AF86C6C, + (q31_t)0xB98A97D8, (q31_t)0x6ADCC964, (q31_t)0xB960A64B, + (q31_t)0x6AC115E1, (q31_t)0xB936BFA3, (q31_t)0x6AA551E8, + (q31_t)0xB90CE3E6, (q31_t)0x6A897D7D, (q31_t)0xB8E31319, + (q31_t)0x6A6D98A4, (q31_t)0xB8B94D44, (q31_t)0x6A51A361, + (q31_t)0xB88F926C, (q31_t)0x6A359DB9, (q31_t)0xB865E299, + (q31_t)0x6A1987B0, (q31_t)0xB83C3DD1, (q31_t)0x69FD614A, + (q31_t)0xB812A419, (q31_t)0x69E12A8C, (q31_t)0xB7E9157A, + (q31_t)0x69C4E37A, (q31_t)0xB7BF91F8, (q31_t)0x69A88C18, + (q31_t)0xB796199B, (q31_t)0x698C246C, (q31_t)0xB76CAC68, + (q31_t)0x696FAC78, (q31_t)0xB7434A67, (q31_t)0x69532442, + (q31_t)0xB719F39D, (q31_t)0x69368BCE, (q31_t)0xB6F0A811, + (q31_t)0x6919E320, (q31_t)0xB6C767CA, (q31_t)0x68FD2A3D, + (q31_t)0xB69E32CD, (q31_t)0x68E06129, (q31_t)0xB6750921, + (q31_t)0x68C387E9, (q31_t)0xB64BEACC, (q31_t)0x68A69E81, + (q31_t)0xB622D7D5, (q31_t)0x6889A4F5, (q31_t)0xB5F9D042, + (q31_t)0x686C9B4B, (q31_t)0xB5D0D41A, (q31_t)0x684F8186, + (q31_t)0xB5A7E362, (q31_t)0x683257AA, (q31_t)0xB57EFE21, + (q31_t)0x68151DBE, (q31_t)0xB556245E, (q31_t)0x67F7D3C4, + (q31_t)0xB52D561E, (q31_t)0x67DA79C2, (q31_t)0xB5049368, + (q31_t)0x67BD0FBC, (q31_t)0xB4DBDC42, (q31_t)0x679F95B7, + (q31_t)0xB4B330B2, (q31_t)0x67820BB6, (q31_t)0xB48A90C0, + (q31_t)0x676471C0, (q31_t)0xB461FC70, (q31_t)0x6746C7D7, + (q31_t)0xB43973C9, (q31_t)0x67290E02, (q31_t)0xB410F6D2, + (q31_t)0x670B4443, (q31_t)0xB3E88591, (q31_t)0x66ED6AA1, + (q31_t)0xB3C0200C, (q31_t)0x66CF811F, (q31_t)0xB397C649, + (q31_t)0x66B187C3, (q31_t)0xB36F784E, (q31_t)0x66937E90, + (q31_t)0xB3473622, (q31_t)0x6675658C, (q31_t)0xB31EFFCB, + (q31_t)0x66573CBB, (q31_t)0xB2F6D54F, (q31_t)0x66390422, + (q31_t)0xB2CEB6B5, (q31_t)0x661ABBC5, (q31_t)0xB2A6A401, + (q31_t)0x65FC63A9, (q31_t)0xB27E9D3B, (q31_t)0x65DDFBD3, + (q31_t)0xB256A26A, (q31_t)0x65BF8447, (q31_t)0xB22EB392, + (q31_t)0x65A0FD0B, (q31_t)0xB206D0BA, (q31_t)0x65826622, + (q31_t)0xB1DEF9E8, (q31_t)0x6563BF92, (q31_t)0xB1B72F23, + (q31_t)0x6545095F, (q31_t)0xB18F7070, (q31_t)0x6526438E, + (q31_t)0xB167BDD6, (q31_t)0x65076E24, (q31_t)0xB140175B, + (q31_t)0x64E88926, (q31_t)0xB1187D05, (q31_t)0x64C99498, + (q31_t)0xB0F0EEDA, (q31_t)0x64AA907F, (q31_t)0xB0C96CDF, + (q31_t)0x648B7CDF, (q31_t)0xB0A1F71C, (q31_t)0x646C59BF, + (q31_t)0xB07A8D97, (q31_t)0x644D2722, (q31_t)0xB0533055, + (q31_t)0x642DE50D, (q31_t)0xB02BDF5C, (q31_t)0x640E9385, + (q31_t)0xB0049AB2, (q31_t)0x63EF328F, (q31_t)0xAFDD625F, + (q31_t)0x63CFC230, (q31_t)0xAFB63667, (q31_t)0x63B0426D, + (q31_t)0xAF8F16D0, (q31_t)0x6390B34A, (q31_t)0xAF6803A1, + (q31_t)0x637114CC, (q31_t)0xAF40FCE0, (q31_t)0x635166F8, + (q31_t)0xAF1A0293, (q31_t)0x6331A9D4, (q31_t)0xAEF314BF, + (q31_t)0x6311DD63, (q31_t)0xAECC336B, (q31_t)0x62F201AC, + (q31_t)0xAEA55E9D, (q31_t)0x62D216B2, (q31_t)0xAE7E965B, + (q31_t)0x62B21C7B, (q31_t)0xAE57DAAA, (q31_t)0x6292130C, + (q31_t)0xAE312B91, (q31_t)0x6271FA69, (q31_t)0xAE0A8916, + (q31_t)0x6251D297, (q31_t)0xADE3F33E, (q31_t)0x62319B9D, + (q31_t)0xADBD6A10, (q31_t)0x6211557D, (q31_t)0xAD96ED91, + (q31_t)0x61F1003E, (q31_t)0xAD707DC8, (q31_t)0x61D09BE5, + (q31_t)0xAD4A1ABA, (q31_t)0x61B02876, (q31_t)0xAD23C46D, + (q31_t)0x618FA5F6, (q31_t)0xACFD7AE8, (q31_t)0x616F146B, + (q31_t)0xACD73E30, (q31_t)0x614E73D9, (q31_t)0xACB10E4A, + (q31_t)0x612DC446, (q31_t)0xAC8AEB3E, (q31_t)0x610D05B7, + (q31_t)0xAC64D510, (q31_t)0x60EC3830, (q31_t)0xAC3ECBC7, + (q31_t)0x60CB5BB6, (q31_t)0xAC18CF68, (q31_t)0x60AA704F, + (q31_t)0xABF2DFFA, (q31_t)0x60897600, (q31_t)0xABCCFD82, + (q31_t)0x60686CCE, (q31_t)0xABA72806, (q31_t)0x604754BE, + (q31_t)0xAB815F8C, (q31_t)0x60262DD5, (q31_t)0xAB5BA41A, + (q31_t)0x6004F818, (q31_t)0xAB35F5B5, (q31_t)0x5FE3B38D, + (q31_t)0xAB105464, (q31_t)0x5FC26038, (q31_t)0xAAEAC02B, + (q31_t)0x5FA0FE1E, (q31_t)0xAAC53912, (q31_t)0x5F7F8D46, + (q31_t)0xAA9FBF1D, (q31_t)0x5F5E0DB3, (q31_t)0xAA7A5253, + (q31_t)0x5F3C7F6B, (q31_t)0xAA54F2B9, (q31_t)0x5F1AE273, + (q31_t)0xAA2FA055, (q31_t)0x5EF936D1, (q31_t)0xAA0A5B2D, + (q31_t)0x5ED77C89, (q31_t)0xA9E52347, (q31_t)0x5EB5B3A1, + (q31_t)0xA9BFF8A8, (q31_t)0x5E93DC1F, (q31_t)0xA99ADB56, + (q31_t)0x5E71F606, (q31_t)0xA975CB56, (q31_t)0x5E50015D, + (q31_t)0xA950C8AF, (q31_t)0x5E2DFE28, (q31_t)0xA92BD366, + (q31_t)0x5E0BEC6E, (q31_t)0xA906EB81, (q31_t)0x5DE9CC32, + (q31_t)0xA8E21106, (q31_t)0x5DC79D7C, (q31_t)0xA8BD43FA, + (q31_t)0x5DA5604E, (q31_t)0xA8988463, (q31_t)0x5D8314B0, + (q31_t)0xA873D246, (q31_t)0x5D60BAA6, (q31_t)0xA84F2DA9, + (q31_t)0x5D3E5236, (q31_t)0xA82A9693, (q31_t)0x5D1BDB65, + (q31_t)0xA8060D08, (q31_t)0x5CF95638, (q31_t)0xA7E1910E, + (q31_t)0x5CD6C2B4, (q31_t)0xA7BD22AB, (q31_t)0x5CB420DF, + (q31_t)0xA798C1E4, (q31_t)0x5C9170BF, (q31_t)0xA7746EC0, + (q31_t)0x5C6EB258, (q31_t)0xA7502943, (q31_t)0x5C4BE5B0, + (q31_t)0xA72BF173, (q31_t)0x5C290ACC, (q31_t)0xA707C756, + (q31_t)0x5C0621B2, (q31_t)0xA6E3AAF2, (q31_t)0x5BE32A67, + (q31_t)0xA6BF9C4B, (q31_t)0x5BC024F0, (q31_t)0xA69B9B68, + (q31_t)0x5B9D1153, (q31_t)0xA677A84E, (q31_t)0x5B79EF96, + (q31_t)0xA653C302, (q31_t)0x5B56BFBD, (q31_t)0xA62FEB8B, + (q31_t)0x5B3381CE, (q31_t)0xA60C21ED, (q31_t)0x5B1035CF, + (q31_t)0xA5E8662F, (q31_t)0x5AECDBC4, (q31_t)0xA5C4B855, + (q31_t)0x5AC973B4, (q31_t)0xA5A11865, (q31_t)0x5AA5FDA4, + (q31_t)0xA57D8666, (q31_t)0x5A82799A, (q31_t)0xA55A025B, + (q31_t)0x5A5EE79A, (q31_t)0xA5368C4B, (q31_t)0x5A3B47AA, + (q31_t)0xA513243B, (q31_t)0x5A1799D0, (q31_t)0xA4EFCA31, + (q31_t)0x59F3DE12, (q31_t)0xA4CC7E31, (q31_t)0x59D01474, + (q31_t)0xA4A94042, (q31_t)0x59AC3CFD, (q31_t)0xA4861069, + (q31_t)0x598857B1, (q31_t)0xA462EEAC, (q31_t)0x59646497, + (q31_t)0xA43FDB0F, (q31_t)0x594063B4, (q31_t)0xA41CD598, + (q31_t)0x591C550E, (q31_t)0xA3F9DE4D, (q31_t)0x58F838A9, + (q31_t)0xA3D6F533, (q31_t)0x58D40E8C, (q31_t)0xA3B41A4F, + (q31_t)0x58AFD6BC, (q31_t)0xA3914DA7, (q31_t)0x588B913F, + (q31_t)0xA36E8F40, (q31_t)0x58673E1B, (q31_t)0xA34BDF20, + (q31_t)0x5842DD54, (q31_t)0xA3293D4B, (q31_t)0x581E6EF1, + (q31_t)0xA306A9C7, (q31_t)0x57F9F2F7, (q31_t)0xA2E4249A, + (q31_t)0x57D5696C, (q31_t)0xA2C1ADC9, (q31_t)0x57B0D256, + (q31_t)0xA29F4559, (q31_t)0x578C2DB9, (q31_t)0xA27CEB4F, + (q31_t)0x57677B9D, (q31_t)0xA25A9FB1, (q31_t)0x5742BC05, + (q31_t)0xA2386283, (q31_t)0x571DEEF9, (q31_t)0xA21633CD, + (q31_t)0x56F9147E, (q31_t)0xA1F41391, (q31_t)0x56D42C99, + (q31_t)0xA1D201D7, (q31_t)0x56AF3750, (q31_t)0xA1AFFEA2, + (q31_t)0x568A34A9, (q31_t)0xA18E09F9, (q31_t)0x566524AA, + (q31_t)0xA16C23E1, (q31_t)0x56400757, (q31_t)0xA14A4C5E, + (q31_t)0x561ADCB8, (q31_t)0xA1288376, (q31_t)0x55F5A4D2, + (q31_t)0xA106C92E, (q31_t)0x55D05FAA, (q31_t)0xA0E51D8C, + (q31_t)0x55AB0D46, (q31_t)0xA0C38094, (q31_t)0x5585ADAC, + (q31_t)0xA0A1F24C, (q31_t)0x556040E2, (q31_t)0xA08072BA, + (q31_t)0x553AC6ED, (q31_t)0xA05F01E1, (q31_t)0x55153FD4, + (q31_t)0xA03D9FC7, (q31_t)0x54EFAB9C, (q31_t)0xA01C4C72, + (q31_t)0x54CA0A4A, (q31_t)0x9FFB07E7, (q31_t)0x54A45BE5, + (q31_t)0x9FD9D22A, (q31_t)0x547EA073, (q31_t)0x9FB8AB41, + (q31_t)0x5458D7F9, (q31_t)0x9F979331, (q31_t)0x5433027D, + (q31_t)0x9F7689FF, (q31_t)0x540D2005, (q31_t)0x9F558FB0, + (q31_t)0x53E73097, (q31_t)0x9F34A449, (q31_t)0x53C13438, + (q31_t)0x9F13C7D0, (q31_t)0x539B2AEF, (q31_t)0x9EF2FA48, + (q31_t)0x537514C1, (q31_t)0x9ED23BB9, (q31_t)0x534EF1B5, + (q31_t)0x9EB18C26, (q31_t)0x5328C1D0, (q31_t)0x9E90EB94, + (q31_t)0x53028517, (q31_t)0x9E705A09, (q31_t)0x52DC3B92, + (q31_t)0x9E4FD789, (q31_t)0x52B5E545, (q31_t)0x9E2F641A, + (q31_t)0x528F8237, (q31_t)0x9E0EFFC1, (q31_t)0x5269126E, + (q31_t)0x9DEEAA82, (q31_t)0x524295EF, (q31_t)0x9DCE6462, + (q31_t)0x521C0CC1, (q31_t)0x9DAE2D68, (q31_t)0x51F576E9, + (q31_t)0x9D8E0596, (q31_t)0x51CED46E, (q31_t)0x9D6DECF4, + (q31_t)0x51A82555, (q31_t)0x9D4DE384, (q31_t)0x518169A4, + (q31_t)0x9D2DE94D, (q31_t)0x515AA162, (q31_t)0x9D0DFE53, + (q31_t)0x5133CC94, (q31_t)0x9CEE229C, (q31_t)0x510CEB40, + (q31_t)0x9CCE562B, (q31_t)0x50E5FD6C, (q31_t)0x9CAE9907, + (q31_t)0x50BF031F, (q31_t)0x9C8EEB33, (q31_t)0x5097FC5E, + (q31_t)0x9C6F4CB5, (q31_t)0x5070E92F, (q31_t)0x9C4FBD92, + (q31_t)0x5049C999, (q31_t)0x9C303DCF, (q31_t)0x50229DA0, + (q31_t)0x9C10CD70, (q31_t)0x4FFB654D, (q31_t)0x9BF16C7A, + (q31_t)0x4FD420A3, (q31_t)0x9BD21AF2, (q31_t)0x4FACCFAB, + (q31_t)0x9BB2D8DD, (q31_t)0x4F857268, (q31_t)0x9B93A640, + (q31_t)0x4F5E08E3, (q31_t)0x9B748320, (q31_t)0x4F369320, + (q31_t)0x9B556F80, (q31_t)0x4F0F1126, (q31_t)0x9B366B67, + (q31_t)0x4EE782FA, (q31_t)0x9B1776D9, (q31_t)0x4EBFE8A4, + (q31_t)0x9AF891DB, (q31_t)0x4E984229, (q31_t)0x9AD9BC71, + (q31_t)0x4E708F8F, (q31_t)0x9ABAF6A0, (q31_t)0x4E48D0DC, + (q31_t)0x9A9C406D, (q31_t)0x4E210617, (q31_t)0x9A7D99DD, + (q31_t)0x4DF92F45, (q31_t)0x9A5F02F5, (q31_t)0x4DD14C6E, + (q31_t)0x9A407BB8, (q31_t)0x4DA95D96, (q31_t)0x9A22042C, + (q31_t)0x4D8162C4, (q31_t)0x9A039C56, (q31_t)0x4D595BFE, + (q31_t)0x99E5443A, (q31_t)0x4D31494B, (q31_t)0x99C6FBDE, + (q31_t)0x4D092AB0, (q31_t)0x99A8C344, (q31_t)0x4CE10034, + (q31_t)0x998A9A73, (q31_t)0x4CB8C9DD, (q31_t)0x996C816F, + (q31_t)0x4C9087B1, (q31_t)0x994E783C, (q31_t)0x4C6839B6, + (q31_t)0x99307EE0, (q31_t)0x4C3FDFF3, (q31_t)0x9912955E, + (q31_t)0x4C177A6E, (q31_t)0x98F4BBBC, (q31_t)0x4BEF092D, + (q31_t)0x98D6F1FE, (q31_t)0x4BC68C36, (q31_t)0x98B93828, + (q31_t)0x4B9E038F, (q31_t)0x989B8E3F, (q31_t)0x4B756F3F, + (q31_t)0x987DF449, (q31_t)0x4B4CCF4D, (q31_t)0x98606A48, + (q31_t)0x4B2423BD, (q31_t)0x9842F043, (q31_t)0x4AFB6C97, + (q31_t)0x9825863D, (q31_t)0x4AD2A9E1, (q31_t)0x98082C3B, + (q31_t)0x4AA9DBA1, (q31_t)0x97EAE241, (q31_t)0x4A8101DE, + (q31_t)0x97CDA855, (q31_t)0x4A581C9D, (q31_t)0x97B07E7A, + (q31_t)0x4A2F2BE5, (q31_t)0x979364B5, (q31_t)0x4A062FBD, + (q31_t)0x97765B0A, (q31_t)0x49DD282A, (q31_t)0x9759617E, + (q31_t)0x49B41533, (q31_t)0x973C7816, (q31_t)0x498AF6DE, + (q31_t)0x971F9ED6, (q31_t)0x4961CD32, (q31_t)0x9702D5C2, + (q31_t)0x49389836, (q31_t)0x96E61CDF, (q31_t)0x490F57EE, + (q31_t)0x96C97431, (q31_t)0x48E60C62, (q31_t)0x96ACDBBD, + (q31_t)0x48BCB598, (q31_t)0x96905387, (q31_t)0x48935397, + (q31_t)0x9673DB94, (q31_t)0x4869E664, (q31_t)0x965773E7, + (q31_t)0x48406E07, (q31_t)0x963B1C85, (q31_t)0x4816EA85, + (q31_t)0x961ED573, (q31_t)0x47ED5BE6, (q31_t)0x96029EB5, + (q31_t)0x47C3C22E, (q31_t)0x95E6784F, (q31_t)0x479A1D66, + (q31_t)0x95CA6246, (q31_t)0x47706D93, (q31_t)0x95AE5C9E, + (q31_t)0x4746B2BC, (q31_t)0x9592675B, (q31_t)0x471CECE6, + (q31_t)0x95768282, (q31_t)0x46F31C1A, (q31_t)0x955AAE17, + (q31_t)0x46C9405C, (q31_t)0x953EEA1E, (q31_t)0x469F59B4, + (q31_t)0x9523369B, (q31_t)0x46756827, (q31_t)0x95079393, + (q31_t)0x464B6BBD, (q31_t)0x94EC010B, (q31_t)0x4621647C, + (q31_t)0x94D07F05, (q31_t)0x45F7526B, (q31_t)0x94B50D87, + (q31_t)0x45CD358F, (q31_t)0x9499AC95, (q31_t)0x45A30DF0, + (q31_t)0x947E5C32, (q31_t)0x4578DB93, (q31_t)0x94631C64, + (q31_t)0x454E9E80, (q31_t)0x9447ED2F, (q31_t)0x452456BC, + (q31_t)0x942CCE95, (q31_t)0x44FA044F, (q31_t)0x9411C09D, + (q31_t)0x44CFA73F, (q31_t)0x93F6C34A, (q31_t)0x44A53F93, + (q31_t)0x93DBD69F, (q31_t)0x447ACD50, (q31_t)0x93C0FAA2, + (q31_t)0x4450507E, (q31_t)0x93A62F56, (q31_t)0x4425C923, + (q31_t)0x938B74C0, (q31_t)0x43FB3745, (q31_t)0x9370CAE4, + (q31_t)0x43D09AEC, (q31_t)0x935631C5, (q31_t)0x43A5F41E, + (q31_t)0x933BA968, (q31_t)0x437B42E1, (q31_t)0x932131D1, + (q31_t)0x4350873C, (q31_t)0x9306CB04, (q31_t)0x4325C135, + (q31_t)0x92EC7505, (q31_t)0x42FAF0D4, (q31_t)0x92D22FD8, + (q31_t)0x42D0161E, (q31_t)0x92B7FB82, (q31_t)0x42A5311A, + (q31_t)0x929DD805, (q31_t)0x427A41D0, (q31_t)0x9283C567, + (q31_t)0x424F4845, (q31_t)0x9269C3AC, (q31_t)0x42244480, + (q31_t)0x924FD2D6, (q31_t)0x41F93688, (q31_t)0x9235F2EB, + (q31_t)0x41CE1E64, (q31_t)0x921C23EE, (q31_t)0x41A2FC1A, + (q31_t)0x920265E4, (q31_t)0x4177CFB0, (q31_t)0x91E8B8D0, + (q31_t)0x414C992E, (q31_t)0x91CF1CB6, (q31_t)0x4121589A, + (q31_t)0x91B5919A, (q31_t)0x40F60DFB, (q31_t)0x919C1780, + (q31_t)0x40CAB957, (q31_t)0x9182AE6C, (q31_t)0x409F5AB6, + (q31_t)0x91695663, (q31_t)0x4073F21D, (q31_t)0x91500F67, + (q31_t)0x40487F93, (q31_t)0x9136D97D, (q31_t)0x401D0320, + (q31_t)0x911DB4A8, (q31_t)0x3FF17CCA, (q31_t)0x9104A0ED, + (q31_t)0x3FC5EC97, (q31_t)0x90EB9E50, (q31_t)0x3F9A528F, + (q31_t)0x90D2ACD3, (q31_t)0x3F6EAEB8, (q31_t)0x90B9CC7C, + (q31_t)0x3F430118, (q31_t)0x90A0FD4E, (q31_t)0x3F1749B7, + (q31_t)0x90883F4C, (q31_t)0x3EEB889C, (q31_t)0x906F927B, + (q31_t)0x3EBFBDCC, (q31_t)0x9056F6DF, (q31_t)0x3E93E94F, + (q31_t)0x903E6C7A, (q31_t)0x3E680B2C, (q31_t)0x9025F352, + (q31_t)0x3E3C2369, (q31_t)0x900D8B69, (q31_t)0x3E10320D, + (q31_t)0x8FF534C4, (q31_t)0x3DE4371F, (q31_t)0x8FDCEF66, + (q31_t)0x3DB832A5, (q31_t)0x8FC4BB53, (q31_t)0x3D8C24A7, + (q31_t)0x8FAC988E, (q31_t)0x3D600D2B, (q31_t)0x8F94871D, + (q31_t)0x3D33EC39, (q31_t)0x8F7C8701, (q31_t)0x3D07C1D5, + (q31_t)0x8F64983F, (q31_t)0x3CDB8E09, (q31_t)0x8F4CBADB, + (q31_t)0x3CAF50DA, (q31_t)0x8F34EED8, (q31_t)0x3C830A4F, + (q31_t)0x8F1D343A, (q31_t)0x3C56BA70, (q31_t)0x8F058B04, + (q31_t)0x3C2A6142, (q31_t)0x8EEDF33B, (q31_t)0x3BFDFECD, + (q31_t)0x8ED66CE1, (q31_t)0x3BD19317, (q31_t)0x8EBEF7FB, + (q31_t)0x3BA51E29, (q31_t)0x8EA7948C, (q31_t)0x3B78A007, + (q31_t)0x8E904298, (q31_t)0x3B4C18BA, (q31_t)0x8E790222, + (q31_t)0x3B1F8847, (q31_t)0x8E61D32D, (q31_t)0x3AF2EEB7, + (q31_t)0x8E4AB5BF, (q31_t)0x3AC64C0F, (q31_t)0x8E33A9D9, + (q31_t)0x3A99A057, (q31_t)0x8E1CAF80, (q31_t)0x3A6CEB95, + (q31_t)0x8E05C6B7, (q31_t)0x3A402DD1, (q31_t)0x8DEEEF82, + (q31_t)0x3A136712, (q31_t)0x8DD829E4, (q31_t)0x39E6975D, + (q31_t)0x8DC175E0, (q31_t)0x39B9BEBB, (q31_t)0x8DAAD37B, + (q31_t)0x398CDD32, (q31_t)0x8D9442B7, (q31_t)0x395FF2C9, + (q31_t)0x8D7DC399, (q31_t)0x3932FF87, (q31_t)0x8D675623, + (q31_t)0x39060372, (q31_t)0x8D50FA59, (q31_t)0x38D8FE93, + (q31_t)0x8D3AB03F, (q31_t)0x38ABF0EF, (q31_t)0x8D2477D8, + (q31_t)0x387EDA8E, (q31_t)0x8D0E5127, (q31_t)0x3851BB76, + (q31_t)0x8CF83C30, (q31_t)0x382493B0, (q31_t)0x8CE238F6, + (q31_t)0x37F76340, (q31_t)0x8CCC477D, (q31_t)0x37CA2A30, + (q31_t)0x8CB667C7, (q31_t)0x379CE884, (q31_t)0x8CA099D9, + (q31_t)0x376F9E46, (q31_t)0x8C8ADDB6, (q31_t)0x37424B7A, + (q31_t)0x8C753361, (q31_t)0x3714F02A, (q31_t)0x8C5F9ADD, + (q31_t)0x36E78C5A, (q31_t)0x8C4A142F, (q31_t)0x36BA2013, + (q31_t)0x8C349F58, (q31_t)0x368CAB5C, (q31_t)0x8C1F3C5C, + (q31_t)0x365F2E3B, (q31_t)0x8C09EB40, (q31_t)0x3631A8B7, + (q31_t)0x8BF4AC05, (q31_t)0x36041AD9, (q31_t)0x8BDF7EAF, + (q31_t)0x35D684A5, (q31_t)0x8BCA6342, (q31_t)0x35A8E624, + (q31_t)0x8BB559C1, (q31_t)0x357B3F5D, (q31_t)0x8BA0622F, + (q31_t)0x354D9056, (q31_t)0x8B8B7C8F, (q31_t)0x351FD917, + (q31_t)0x8B76A8E4, (q31_t)0x34F219A7, (q31_t)0x8B61E732, + (q31_t)0x34C4520D, (q31_t)0x8B4D377C, (q31_t)0x3496824F, + (q31_t)0x8B3899C5, (q31_t)0x3468AA76, (q31_t)0x8B240E10, + (q31_t)0x343ACA87, (q31_t)0x8B0F9461, (q31_t)0x340CE28A, + (q31_t)0x8AFB2CBA, (q31_t)0x33DEF287, (q31_t)0x8AE6D71F, + (q31_t)0x33B0FA84, (q31_t)0x8AD29393, (q31_t)0x3382FA88, + (q31_t)0x8ABE6219, (q31_t)0x3354F29A, (q31_t)0x8AAA42B4, + (q31_t)0x3326E2C2, (q31_t)0x8A963567, (q31_t)0x32F8CB07, + (q31_t)0x8A823A35, (q31_t)0x32CAAB6F, (q31_t)0x8A6E5122, + (q31_t)0x329C8402, (q31_t)0x8A5A7A30, (q31_t)0x326E54C7, + (q31_t)0x8A46B563, (q31_t)0x32401DC5, (q31_t)0x8A3302BD, + (q31_t)0x3211DF03, (q31_t)0x8A1F6242, (q31_t)0x31E39889, + (q31_t)0x8A0BD3F5, (q31_t)0x31B54A5D, (q31_t)0x89F857D8, + (q31_t)0x3186F487, (q31_t)0x89E4EDEE, (q31_t)0x3158970D, + (q31_t)0x89D1963C, (q31_t)0x312A31F8, (q31_t)0x89BE50C3, + (q31_t)0x30FBC54D, (q31_t)0x89AB1D86, (q31_t)0x30CD5114, + (q31_t)0x8997FC89, (q31_t)0x309ED555, (q31_t)0x8984EDCF, + (q31_t)0x30705217, (q31_t)0x8971F15A, (q31_t)0x3041C760, + (q31_t)0x895F072D, (q31_t)0x30133538, (q31_t)0x894C2F4C, + (q31_t)0x2FE49BA6, (q31_t)0x893969B9, (q31_t)0x2FB5FAB2, + (q31_t)0x8926B677, (q31_t)0x2F875262, (q31_t)0x89141589, + (q31_t)0x2F58A2BD, (q31_t)0x890186F1, (q31_t)0x2F29EBCC, + (q31_t)0x88EF0AB4, (q31_t)0x2EFB2D94, (q31_t)0x88DCA0D3, + (q31_t)0x2ECC681E, (q31_t)0x88CA4951, (q31_t)0x2E9D9B70, + (q31_t)0x88B80431, (q31_t)0x2E6EC792, (q31_t)0x88A5D177, + (q31_t)0x2E3FEC8B, (q31_t)0x8893B124, (q31_t)0x2E110A62, + (q31_t)0x8881A33C, (q31_t)0x2DE2211E, (q31_t)0x886FA7C2, + (q31_t)0x2DB330C7, (q31_t)0x885DBEB7, (q31_t)0x2D843963, + (q31_t)0x884BE820, (q31_t)0x2D553AFB, (q31_t)0x883A23FE, + (q31_t)0x2D263595, (q31_t)0x88287255, (q31_t)0x2CF72939, + (q31_t)0x8816D327, (q31_t)0x2CC815ED, (q31_t)0x88054677, + (q31_t)0x2C98FBBA, (q31_t)0x87F3CC47, (q31_t)0x2C69DAA6, + (q31_t)0x87E2649B, (q31_t)0x2C3AB2B9, (q31_t)0x87D10F75, + (q31_t)0x2C0B83F9, (q31_t)0x87BFCCD7, (q31_t)0x2BDC4E6F, + (q31_t)0x87AE9CC5, (q31_t)0x2BAD1221, (q31_t)0x879D7F40, + (q31_t)0x2B7DCF17, (q31_t)0x878C744C, (q31_t)0x2B4E8558, + (q31_t)0x877B7BEC, (q31_t)0x2B1F34EB, (q31_t)0x876A9621, + (q31_t)0x2AEFDDD8, (q31_t)0x8759C2EF, (q31_t)0x2AC08025, + (q31_t)0x87490257, (q31_t)0x2A911BDB, (q31_t)0x8738545E, + (q31_t)0x2A61B101, (q31_t)0x8727B904, (q31_t)0x2A323F9D, + (q31_t)0x8717304E, (q31_t)0x2A02C7B8, (q31_t)0x8706BA3C, + (q31_t)0x29D34958, (q31_t)0x86F656D3, (q31_t)0x29A3C484, + (q31_t)0x86E60614, (q31_t)0x29743945, (q31_t)0x86D5C802, + (q31_t)0x2944A7A2, (q31_t)0x86C59C9F, (q31_t)0x29150FA1, + (q31_t)0x86B583EE, (q31_t)0x28E5714A, (q31_t)0x86A57DF1, + (q31_t)0x28B5CCA5, (q31_t)0x86958AAB, (q31_t)0x288621B9, + (q31_t)0x8685AA1F, (q31_t)0x2856708C, (q31_t)0x8675DC4E, + (q31_t)0x2826B928, (q31_t)0x8666213C, (q31_t)0x27F6FB92, + (q31_t)0x865678EA, (q31_t)0x27C737D2, (q31_t)0x8646E35B, + (q31_t)0x27976DF1, (q31_t)0x86376092, (q31_t)0x27679DF4, + (q31_t)0x8627F090, (q31_t)0x2737C7E3, (q31_t)0x86189359, + (q31_t)0x2707EBC6, (q31_t)0x860948EE, (q31_t)0x26D809A5, + (q31_t)0x85FA1152, (q31_t)0x26A82185, (q31_t)0x85EAEC88, + (q31_t)0x26783370, (q31_t)0x85DBDA91, (q31_t)0x26483F6C, + (q31_t)0x85CCDB70, (q31_t)0x26184581, (q31_t)0x85BDEF27, + (q31_t)0x25E845B5, (q31_t)0x85AF15B9, (q31_t)0x25B84012, + (q31_t)0x85A04F28, (q31_t)0x2588349D, (q31_t)0x85919B75, + (q31_t)0x2558235E, (q31_t)0x8582FAA4, (q31_t)0x25280C5D, + (q31_t)0x85746CB7, (q31_t)0x24F7EFA1, (q31_t)0x8565F1B0, + (q31_t)0x24C7CD32, (q31_t)0x85578991, (q31_t)0x2497A517, + (q31_t)0x8549345C, (q31_t)0x24677757, (q31_t)0x853AF214, + (q31_t)0x243743FA, (q31_t)0x852CC2BA, (q31_t)0x24070B07, + (q31_t)0x851EA652, (q31_t)0x23D6CC86, (q31_t)0x85109CDC, + (q31_t)0x23A6887E, (q31_t)0x8502A65C, (q31_t)0x23763EF7, + (q31_t)0x84F4C2D3, (q31_t)0x2345EFF7, (q31_t)0x84E6F244, + (q31_t)0x23159B87, (q31_t)0x84D934B0, (q31_t)0x22E541AE, + (q31_t)0x84CB8A1B, (q31_t)0x22B4E274, (q31_t)0x84BDF285, + (q31_t)0x22847DDF, (q31_t)0x84B06DF1, (q31_t)0x225413F8, + (q31_t)0x84A2FC62, (q31_t)0x2223A4C5, (q31_t)0x84959DD9, + (q31_t)0x21F3304E, (q31_t)0x84885257, (q31_t)0x21C2B69C, + (q31_t)0x847B19E1, (q31_t)0x219237B4, (q31_t)0x846DF476, + (q31_t)0x2161B39F, (q31_t)0x8460E21A, (q31_t)0x21312A65, + (q31_t)0x8453E2CE, (q31_t)0x21009C0B, (q31_t)0x8446F695, + (q31_t)0x20D0089B, (q31_t)0x843A1D70, (q31_t)0x209F701C, + (q31_t)0x842D5761, (q31_t)0x206ED295, (q31_t)0x8420A46B, + (q31_t)0x203E300D, (q31_t)0x8414048F, (q31_t)0x200D888C, + (q31_t)0x840777CF, (q31_t)0x1FDCDC1A, (q31_t)0x83FAFE2E, + (q31_t)0x1FAC2ABF, (q31_t)0x83EE97AC, (q31_t)0x1F7B7480, + (q31_t)0x83E2444D, (q31_t)0x1F4AB967, (q31_t)0x83D60411, + (q31_t)0x1F19F97B, (q31_t)0x83C9D6FB, (q31_t)0x1EE934C2, + (q31_t)0x83BDBD0D, (q31_t)0x1EB86B46, (q31_t)0x83B1B649, + (q31_t)0x1E879D0C, (q31_t)0x83A5C2B0, (q31_t)0x1E56CA1E, + (q31_t)0x8399E244, (q31_t)0x1E25F281, (q31_t)0x838E1507, + (q31_t)0x1DF5163F, (q31_t)0x83825AFB, (q31_t)0x1DC4355D, + (q31_t)0x8376B422, (q31_t)0x1D934FE5, (q31_t)0x836B207D, + (q31_t)0x1D6265DD, (q31_t)0x835FA00E, (q31_t)0x1D31774D, + (q31_t)0x835432D8, (q31_t)0x1D00843C, (q31_t)0x8348D8DB, + (q31_t)0x1CCF8CB3, (q31_t)0x833D921A, (q31_t)0x1C9E90B8, + (q31_t)0x83325E97, (q31_t)0x1C6D9053, (q31_t)0x83273E52, + (q31_t)0x1C3C8B8C, (q31_t)0x831C314E, (q31_t)0x1C0B826A, + (q31_t)0x8311378C, (q31_t)0x1BDA74F5, (q31_t)0x8306510F, + (q31_t)0x1BA96334, (q31_t)0x82FB7DD8, (q31_t)0x1B784D30, + (q31_t)0x82F0BDE8, (q31_t)0x1B4732EF, (q31_t)0x82E61141, + (q31_t)0x1B161479, (q31_t)0x82DB77E5, (q31_t)0x1AE4F1D6, + (q31_t)0x82D0F1D5, (q31_t)0x1AB3CB0C, (q31_t)0x82C67F13, + (q31_t)0x1A82A025, (q31_t)0x82BC1FA1, (q31_t)0x1A517127, + (q31_t)0x82B1D381, (q31_t)0x1A203E1B, (q31_t)0x82A79AB3, + (q31_t)0x19EF0706, (q31_t)0x829D753A, (q31_t)0x19BDCBF2, + (q31_t)0x82936316, (q31_t)0x198C8CE6, (q31_t)0x8289644A, + (q31_t)0x195B49E9, (q31_t)0x827F78D8, (q31_t)0x192A0303, + (q31_t)0x8275A0C0, (q31_t)0x18F8B83C, (q31_t)0x826BDC04, + (q31_t)0x18C7699B, (q31_t)0x82622AA5, (q31_t)0x18961727, + (q31_t)0x82588CA6, (q31_t)0x1864C0E9, (q31_t)0x824F0208, + (q31_t)0x183366E8, (q31_t)0x82458ACB, (q31_t)0x1802092C, + (q31_t)0x823C26F2, (q31_t)0x17D0A7BB, (q31_t)0x8232D67E, + (q31_t)0x179F429F, (q31_t)0x82299971, (q31_t)0x176DD9DE, + (q31_t)0x82206FCB, (q31_t)0x173C6D80, (q31_t)0x8217598F, + (q31_t)0x170AFD8D, (q31_t)0x820E56BE, (q31_t)0x16D98A0C, + (q31_t)0x82056758, (q31_t)0x16A81305, (q31_t)0x81FC8B60, + (q31_t)0x1676987F, (q31_t)0x81F3C2D7, (q31_t)0x16451A83, + (q31_t)0x81EB0DBD, (q31_t)0x16139917, (q31_t)0x81E26C16, + (q31_t)0x15E21444, (q31_t)0x81D9DDE1, (q31_t)0x15B08C11, + (q31_t)0x81D16320, (q31_t)0x157F0086, (q31_t)0x81C8FBD5, + (q31_t)0x154D71AA, (q31_t)0x81C0A801, (q31_t)0x151BDF85, + (q31_t)0x81B867A4, (q31_t)0x14EA4A1F, (q31_t)0x81B03AC1, + (q31_t)0x14B8B17F, (q31_t)0x81A82159, (q31_t)0x148715AD, + (q31_t)0x81A01B6C, (q31_t)0x145576B1, (q31_t)0x819828FD, + (q31_t)0x1423D492, (q31_t)0x81904A0C, (q31_t)0x13F22F57, + (q31_t)0x81887E9A, (q31_t)0x13C0870A, (q31_t)0x8180C6A9, + (q31_t)0x138EDBB0, (q31_t)0x8179223A, (q31_t)0x135D2D53, + (q31_t)0x8171914E, (q31_t)0x132B7BF9, (q31_t)0x816A13E6, + (q31_t)0x12F9C7AA, (q31_t)0x8162AA03, (q31_t)0x12C8106E, + (q31_t)0x815B53A8, (q31_t)0x1296564D, (q31_t)0x815410D3, + (q31_t)0x1264994E, (q31_t)0x814CE188, (q31_t)0x1232D978, + (q31_t)0x8145C5C6, (q31_t)0x120116D4, (q31_t)0x813EBD90, + (q31_t)0x11CF516A, (q31_t)0x8137C8E6, (q31_t)0x119D8940, + (q31_t)0x8130E7C8, (q31_t)0x116BBE5F, (q31_t)0x812A1A39, + (q31_t)0x1139F0CE, (q31_t)0x81236039, (q31_t)0x11082096, + (q31_t)0x811CB9CA, (q31_t)0x10D64DBC, (q31_t)0x811626EC, + (q31_t)0x10A4784A, (q31_t)0x810FA7A0, (q31_t)0x1072A047, + (q31_t)0x81093BE8, (q31_t)0x1040C5BB, (q31_t)0x8102E3C3, + (q31_t)0x100EE8AD, (q31_t)0x80FC9F35, (q31_t)0x0FDD0925, + (q31_t)0x80F66E3C, (q31_t)0x0FAB272B, (q31_t)0x80F050DB, + (q31_t)0x0F7942C6, (q31_t)0x80EA4712, (q31_t)0x0F475BFE, + (q31_t)0x80E450E2, (q31_t)0x0F1572DC, (q31_t)0x80DE6E4C, + (q31_t)0x0EE38765, (q31_t)0x80D89F51, (q31_t)0x0EB199A3, + (q31_t)0x80D2E3F1, (q31_t)0x0E7FA99D, (q31_t)0x80CD3C2F, + (q31_t)0x0E4DB75B, (q31_t)0x80C7A80A, (q31_t)0x0E1BC2E3, + (q31_t)0x80C22783, (q31_t)0x0DE9CC3F, (q31_t)0x80BCBA9C, + (q31_t)0x0DB7D376, (q31_t)0x80B76155, (q31_t)0x0D85D88F, + (q31_t)0x80B21BAF, (q31_t)0x0D53DB92, (q31_t)0x80ACE9AB, + (q31_t)0x0D21DC87, (q31_t)0x80A7CB49, (q31_t)0x0CEFDB75, + (q31_t)0x80A2C08B, (q31_t)0x0CBDD865, (q31_t)0x809DC970, + (q31_t)0x0C8BD35E, (q31_t)0x8098E5FB, (q31_t)0x0C59CC67, + (q31_t)0x8094162B, (q31_t)0x0C27C389, (q31_t)0x808F5A02, + (q31_t)0x0BF5B8CB, (q31_t)0x808AB180, (q31_t)0x0BC3AC35, + (q31_t)0x80861CA5, (q31_t)0x0B919DCE, (q31_t)0x80819B74, + (q31_t)0x0B5F8D9F, (q31_t)0x807D2DEB, (q31_t)0x0B2D7BAE, + (q31_t)0x8078D40D, (q31_t)0x0AFB6805, (q31_t)0x80748DD9, + (q31_t)0x0AC952AA, (q31_t)0x80705B50, (q31_t)0x0A973BA5, + (q31_t)0x806C3C73, (q31_t)0x0A6522FE, (q31_t)0x80683143, + (q31_t)0x0A3308BC, (q31_t)0x806439C0, (q31_t)0x0A00ECE8, + (q31_t)0x806055EA, (q31_t)0x09CECF89, (q31_t)0x805C85C3, + (q31_t)0x099CB0A7, (q31_t)0x8058C94C, (q31_t)0x096A9049, + (q31_t)0x80552083, (q31_t)0x09386E77, (q31_t)0x80518B6B, + (q31_t)0x09064B3A, (q31_t)0x804E0A03, (q31_t)0x08D42698, + (q31_t)0x804A9C4D, (q31_t)0x08A2009A, (q31_t)0x80474248, + (q31_t)0x086FD947, (q31_t)0x8043FBF6, (q31_t)0x083DB0A7, + (q31_t)0x8040C956, (q31_t)0x080B86C1, (q31_t)0x803DAA69, + (q31_t)0x07D95B9E, (q31_t)0x803A9F31, (q31_t)0x07A72F45, + (q31_t)0x8037A7AC, (q31_t)0x077501BE, (q31_t)0x8034C3DC, + (q31_t)0x0742D310, (q31_t)0x8031F3C1, (q31_t)0x0710A344, + (q31_t)0x802F375C, (q31_t)0x06DE7261, (q31_t)0x802C8EAD, + (q31_t)0x06AC406F, (q31_t)0x8029F9B4, (q31_t)0x067A0D75, + (q31_t)0x80277872, (q31_t)0x0647D97C, (q31_t)0x80250AE7, + (q31_t)0x0615A48A, (q31_t)0x8022B113, (q31_t)0x05E36EA9, + (q31_t)0x80206AF8, (q31_t)0x05B137DF, (q31_t)0x801E3894, + (q31_t)0x057F0034, (q31_t)0x801C19E9, (q31_t)0x054CC7B0, + (q31_t)0x801A0EF7, (q31_t)0x051A8E5C, (q31_t)0x801817BF, + (q31_t)0x04E8543D, (q31_t)0x80163440, (q31_t)0x04B6195D, + (q31_t)0x8014647A, (q31_t)0x0483DDC3, (q31_t)0x8012A86F, + (q31_t)0x0451A176, (q31_t)0x8011001E, (q31_t)0x041F647F, + (q31_t)0x800F6B88, (q31_t)0x03ED26E6, (q31_t)0x800DEAAC, + (q31_t)0x03BAE8B1, (q31_t)0x800C7D8C, (q31_t)0x0388A9E9, + (q31_t)0x800B2427, (q31_t)0x03566A96, (q31_t)0x8009DE7D, + (q31_t)0x03242ABF, (q31_t)0x8008AC90, (q31_t)0x02F1EA6B, + (q31_t)0x80078E5E, (q31_t)0x02BFA9A4, (q31_t)0x800683E8, + (q31_t)0x028D6870, (q31_t)0x80058D2E, (q31_t)0x025B26D7, + (q31_t)0x8004AA31, (q31_t)0x0228E4E1, (q31_t)0x8003DAF0, + (q31_t)0x01F6A296, (q31_t)0x80031F6C, (q31_t)0x01C45FFE, + (q31_t)0x800277A5, (q31_t)0x01921D1F, (q31_t)0x8001E39B, + (q31_t)0x015FDA03, (q31_t)0x8001634D, (q31_t)0x012D96B0, + (q31_t)0x8000F6BD, (q31_t)0x00FB532F, (q31_t)0x80009DE9, + (q31_t)0x00C90F88, (q31_t)0x800058D3, (q31_t)0x0096CBC1, + (q31_t)0x8000277A, (q31_t)0x006487E3, (q31_t)0x800009DE, + (q31_t)0x003243F5, (q31_t)0x80000000, (q31_t)0x00000000, + (q31_t)0x800009DE, (q31_t)0xFFCDBC0A, (q31_t)0x8000277A, + (q31_t)0xFF9B781D, (q31_t)0x800058D3, (q31_t)0xFF69343E, + (q31_t)0x80009DE9, (q31_t)0xFF36F078, (q31_t)0x8000F6BD, + (q31_t)0xFF04ACD0, (q31_t)0x8001634D, (q31_t)0xFED2694F, + (q31_t)0x8001E39B, (q31_t)0xFEA025FC, (q31_t)0x800277A5, + (q31_t)0xFE6DE2E0, (q31_t)0x80031F6C, (q31_t)0xFE3BA001, + (q31_t)0x8003DAF0, (q31_t)0xFE095D69, (q31_t)0x8004AA31, + (q31_t)0xFDD71B1E, (q31_t)0x80058D2E, (q31_t)0xFDA4D928, + (q31_t)0x800683E8, (q31_t)0xFD72978F, (q31_t)0x80078E5E, + (q31_t)0xFD40565B, (q31_t)0x8008AC90, (q31_t)0xFD0E1594, + (q31_t)0x8009DE7D, (q31_t)0xFCDBD541, (q31_t)0x800B2427, + (q31_t)0xFCA99569, (q31_t)0x800C7D8C, (q31_t)0xFC775616, + (q31_t)0x800DEAAC, (q31_t)0xFC45174E, (q31_t)0x800F6B88, + (q31_t)0xFC12D919, (q31_t)0x8011001E, (q31_t)0xFBE09B80, + (q31_t)0x8012A86F, (q31_t)0xFBAE5E89, (q31_t)0x8014647A, + (q31_t)0xFB7C223C, (q31_t)0x80163440, (q31_t)0xFB49E6A2, + (q31_t)0x801817BF, (q31_t)0xFB17ABC2, (q31_t)0x801A0EF7, + (q31_t)0xFAE571A4, (q31_t)0x801C19E9, (q31_t)0xFAB3384F, + (q31_t)0x801E3894, (q31_t)0xFA80FFCB, (q31_t)0x80206AF8, + (q31_t)0xFA4EC820, (q31_t)0x8022B113, (q31_t)0xFA1C9156, + (q31_t)0x80250AE7, (q31_t)0xF9EA5B75, (q31_t)0x80277872, + (q31_t)0xF9B82683, (q31_t)0x8029F9B4, (q31_t)0xF985F28A, + (q31_t)0x802C8EAD, (q31_t)0xF953BF90, (q31_t)0x802F375C, + (q31_t)0xF9218D9E, (q31_t)0x8031F3C1, (q31_t)0xF8EF5CBB, + (q31_t)0x8034C3DC, (q31_t)0xF8BD2CEF, (q31_t)0x8037A7AC, + (q31_t)0xF88AFE41, (q31_t)0x803A9F31, (q31_t)0xF858D0BA, + (q31_t)0x803DAA69, (q31_t)0xF826A461, (q31_t)0x8040C956, + (q31_t)0xF7F4793E, (q31_t)0x8043FBF6, (q31_t)0xF7C24F58, + (q31_t)0x80474248, (q31_t)0xF79026B8, (q31_t)0x804A9C4D, + (q31_t)0xF75DFF65, (q31_t)0x804E0A03, (q31_t)0xF72BD967, + (q31_t)0x80518B6B, (q31_t)0xF6F9B4C5, (q31_t)0x80552083, + (q31_t)0xF6C79188, (q31_t)0x8058C94C, (q31_t)0xF6956FB6, + (q31_t)0x805C85C3, (q31_t)0xF6634F58, (q31_t)0x806055EA, + (q31_t)0xF6313076, (q31_t)0x806439C0, (q31_t)0xF5FF1317, + (q31_t)0x80683143, (q31_t)0xF5CCF743, (q31_t)0x806C3C73, + (q31_t)0xF59ADD01, (q31_t)0x80705B50, (q31_t)0xF568C45A, + (q31_t)0x80748DD9, (q31_t)0xF536AD55, (q31_t)0x8078D40D, + (q31_t)0xF50497FA, (q31_t)0x807D2DEB, (q31_t)0xF4D28451, + (q31_t)0x80819B74, (q31_t)0xF4A07260, (q31_t)0x80861CA5, + (q31_t)0xF46E6231, (q31_t)0x808AB180, (q31_t)0xF43C53CA, + (q31_t)0x808F5A02, (q31_t)0xF40A4734, (q31_t)0x8094162B, + (q31_t)0xF3D83C76, (q31_t)0x8098E5FB, (q31_t)0xF3A63398, + (q31_t)0x809DC970, (q31_t)0xF3742CA1, (q31_t)0x80A2C08B, + (q31_t)0xF342279A, (q31_t)0x80A7CB49, (q31_t)0xF310248A, + (q31_t)0x80ACE9AB, (q31_t)0xF2DE2378, (q31_t)0x80B21BAF, + (q31_t)0xF2AC246D, (q31_t)0x80B76155, (q31_t)0xF27A2770, + (q31_t)0x80BCBA9C, (q31_t)0xF2482C89, (q31_t)0x80C22783, + (q31_t)0xF21633C0, (q31_t)0x80C7A80A, (q31_t)0xF1E43D1C, + (q31_t)0x80CD3C2F, (q31_t)0xF1B248A5, (q31_t)0x80D2E3F1, + (q31_t)0xF1805662, (q31_t)0x80D89F51, (q31_t)0xF14E665C, + (q31_t)0x80DE6E4C, (q31_t)0xF11C789A, (q31_t)0x80E450E2, + (q31_t)0xF0EA8D23, (q31_t)0x80EA4712, (q31_t)0xF0B8A401, + (q31_t)0x80F050DB, (q31_t)0xF086BD39, (q31_t)0x80F66E3C, + (q31_t)0xF054D8D4, (q31_t)0x80FC9F35, (q31_t)0xF022F6DA, + (q31_t)0x8102E3C3, (q31_t)0xEFF11752, (q31_t)0x81093BE8, + (q31_t)0xEFBF3A44, (q31_t)0x810FA7A0, (q31_t)0xEF8D5FB8, + (q31_t)0x811626EC, (q31_t)0xEF5B87B5, (q31_t)0x811CB9CA, + (q31_t)0xEF29B243, (q31_t)0x81236039, (q31_t)0xEEF7DF6A, + (q31_t)0x812A1A39, (q31_t)0xEEC60F31, (q31_t)0x8130E7C8, + (q31_t)0xEE9441A0, (q31_t)0x8137C8E6, (q31_t)0xEE6276BF, + (q31_t)0x813EBD90, (q31_t)0xEE30AE95, (q31_t)0x8145C5C6, + (q31_t)0xEDFEE92B, (q31_t)0x814CE188, (q31_t)0xEDCD2687, + (q31_t)0x815410D3, (q31_t)0xED9B66B2, (q31_t)0x815B53A8, + (q31_t)0xED69A9B2, (q31_t)0x8162AA03, (q31_t)0xED37EF91, + (q31_t)0x816A13E6, (q31_t)0xED063855, (q31_t)0x8171914E, + (q31_t)0xECD48406, (q31_t)0x8179223A, (q31_t)0xECA2D2AC, + (q31_t)0x8180C6A9, (q31_t)0xEC71244F, (q31_t)0x81887E9A, + (q31_t)0xEC3F78F5, (q31_t)0x81904A0C, (q31_t)0xEC0DD0A8, + (q31_t)0x819828FD, (q31_t)0xEBDC2B6D, (q31_t)0x81A01B6C, + (q31_t)0xEBAA894E, (q31_t)0x81A82159, (q31_t)0xEB78EA52, + (q31_t)0x81B03AC1, (q31_t)0xEB474E80, (q31_t)0x81B867A4, + (q31_t)0xEB15B5E0, (q31_t)0x81C0A801, (q31_t)0xEAE4207A, + (q31_t)0x81C8FBD5, (q31_t)0xEAB28E55, (q31_t)0x81D16320, + (q31_t)0xEA80FF79, (q31_t)0x81D9DDE1, (q31_t)0xEA4F73EE, + (q31_t)0x81E26C16, (q31_t)0xEA1DEBBB, (q31_t)0x81EB0DBD, + (q31_t)0xE9EC66E8, (q31_t)0x81F3C2D7, (q31_t)0xE9BAE57C, + (q31_t)0x81FC8B60, (q31_t)0xE9896780, (q31_t)0x82056758, + (q31_t)0xE957ECFB, (q31_t)0x820E56BE, (q31_t)0xE92675F4, + (q31_t)0x8217598F, (q31_t)0xE8F50273, (q31_t)0x82206FCB, + (q31_t)0xE8C3927F, (q31_t)0x82299971, (q31_t)0xE8922621, + (q31_t)0x8232D67E, (q31_t)0xE860BD60, (q31_t)0x823C26F2, + (q31_t)0xE82F5844, (q31_t)0x82458ACB, (q31_t)0xE7FDF6D3, + (q31_t)0x824F0208, (q31_t)0xE7CC9917, (q31_t)0x82588CA6, + (q31_t)0xE79B3F16, (q31_t)0x82622AA5, (q31_t)0xE769E8D8, + (q31_t)0x826BDC04, (q31_t)0xE7389664, (q31_t)0x8275A0C0, + (q31_t)0xE70747C3, (q31_t)0x827F78D8, (q31_t)0xE6D5FCFC, + (q31_t)0x8289644A, (q31_t)0xE6A4B616, (q31_t)0x82936316, + (q31_t)0xE6737319, (q31_t)0x829D753A, (q31_t)0xE642340D, + (q31_t)0x82A79AB3, (q31_t)0xE610F8F9, (q31_t)0x82B1D381, + (q31_t)0xE5DFC1E4, (q31_t)0x82BC1FA1, (q31_t)0xE5AE8ED8, + (q31_t)0x82C67F13, (q31_t)0xE57D5FDA, (q31_t)0x82D0F1D5, + (q31_t)0xE54C34F3, (q31_t)0x82DB77E5, (q31_t)0xE51B0E2A, + (q31_t)0x82E61141, (q31_t)0xE4E9EB86, (q31_t)0x82F0BDE8, + (q31_t)0xE4B8CD10, (q31_t)0x82FB7DD8, (q31_t)0xE487B2CF, + (q31_t)0x8306510F, (q31_t)0xE4569CCB, (q31_t)0x8311378C, + (q31_t)0xE4258B0A, (q31_t)0x831C314E, (q31_t)0xE3F47D95, + (q31_t)0x83273E52, (q31_t)0xE3C37473, (q31_t)0x83325E97, + (q31_t)0xE3926FAC, (q31_t)0x833D921A, (q31_t)0xE3616F47, + (q31_t)0x8348D8DB, (q31_t)0xE330734C, (q31_t)0x835432D8, + (q31_t)0xE2FF7BC3, (q31_t)0x835FA00E, (q31_t)0xE2CE88B2, + (q31_t)0x836B207D, (q31_t)0xE29D9A22, (q31_t)0x8376B422, + (q31_t)0xE26CB01A, (q31_t)0x83825AFB, (q31_t)0xE23BCAA2, + (q31_t)0x838E1507, (q31_t)0xE20AE9C1, (q31_t)0x8399E244, + (q31_t)0xE1DA0D7E, (q31_t)0x83A5C2B0, (q31_t)0xE1A935E1, + (q31_t)0x83B1B649, (q31_t)0xE17862F3, (q31_t)0x83BDBD0D, + (q31_t)0xE14794B9, (q31_t)0x83C9D6FB, (q31_t)0xE116CB3D, + (q31_t)0x83D60411, (q31_t)0xE0E60684, (q31_t)0x83E2444D, + (q31_t)0xE0B54698, (q31_t)0x83EE97AC, (q31_t)0xE0848B7F, + (q31_t)0x83FAFE2E, (q31_t)0xE053D541, (q31_t)0x840777CF, + (q31_t)0xE02323E5, (q31_t)0x8414048F, (q31_t)0xDFF27773, + (q31_t)0x8420A46B, (q31_t)0xDFC1CFF2, (q31_t)0x842D5761, + (q31_t)0xDF912D6A, (q31_t)0x843A1D70, (q31_t)0xDF608FE3, + (q31_t)0x8446F695, (q31_t)0xDF2FF764, (q31_t)0x8453E2CE, + (q31_t)0xDEFF63F4, (q31_t)0x8460E21A, (q31_t)0xDECED59B, + (q31_t)0x846DF476, (q31_t)0xDE9E4C60, (q31_t)0x847B19E1, + (q31_t)0xDE6DC84B, (q31_t)0x84885257, (q31_t)0xDE3D4963, + (q31_t)0x84959DD9, (q31_t)0xDE0CCFB1, (q31_t)0x84A2FC62, + (q31_t)0xDDDC5B3A, (q31_t)0x84B06DF1, (q31_t)0xDDABEC07, + (q31_t)0x84BDF285, (q31_t)0xDD7B8220, (q31_t)0x84CB8A1B, + (q31_t)0xDD4B1D8B, (q31_t)0x84D934B0, (q31_t)0xDD1ABE51, + (q31_t)0x84E6F244, (q31_t)0xDCEA6478, (q31_t)0x84F4C2D3, + (q31_t)0xDCBA1008, (q31_t)0x8502A65C, (q31_t)0xDC89C108, + (q31_t)0x85109CDC, (q31_t)0xDC597781, (q31_t)0x851EA652, + (q31_t)0xDC293379, (q31_t)0x852CC2BA, (q31_t)0xDBF8F4F8, + (q31_t)0x853AF214, (q31_t)0xDBC8BC05, (q31_t)0x8549345C, + (q31_t)0xDB9888A8, (q31_t)0x85578991, (q31_t)0xDB685AE8, + (q31_t)0x8565F1B0, (q31_t)0xDB3832CD, (q31_t)0x85746CB7, + (q31_t)0xDB08105E, (q31_t)0x8582FAA4, (q31_t)0xDAD7F3A2, + (q31_t)0x85919B75, (q31_t)0xDAA7DCA1, (q31_t)0x85A04F28, + (q31_t)0xDA77CB62, (q31_t)0x85AF15B9, (q31_t)0xDA47BFED, + (q31_t)0x85BDEF27, (q31_t)0xDA17BA4A, (q31_t)0x85CCDB70, + (q31_t)0xD9E7BA7E, (q31_t)0x85DBDA91, (q31_t)0xD9B7C093, + (q31_t)0x85EAEC88, (q31_t)0xD987CC8F, (q31_t)0x85FA1152, + (q31_t)0xD957DE7A, (q31_t)0x860948EE, (q31_t)0xD927F65B, + (q31_t)0x86189359, (q31_t)0xD8F81439, (q31_t)0x8627F090, + (q31_t)0xD8C8381C, (q31_t)0x86376092, (q31_t)0xD898620C, + (q31_t)0x8646E35B, (q31_t)0xD868920F, (q31_t)0x865678EA, + (q31_t)0xD838C82D, (q31_t)0x8666213C, (q31_t)0xD809046D, + (q31_t)0x8675DC4E, (q31_t)0xD7D946D7, (q31_t)0x8685AA1F, + (q31_t)0xD7A98F73, (q31_t)0x86958AAB, (q31_t)0xD779DE46, + (q31_t)0x86A57DF1, (q31_t)0xD74A335A, (q31_t)0x86B583EE, + (q31_t)0xD71A8EB5, (q31_t)0x86C59C9F, (q31_t)0xD6EAF05E, + (q31_t)0x86D5C802, (q31_t)0xD6BB585D, (q31_t)0x86E60614, + (q31_t)0xD68BC6BA, (q31_t)0x86F656D3, (q31_t)0xD65C3B7B, + (q31_t)0x8706BA3C, (q31_t)0xD62CB6A7, (q31_t)0x8717304E, + (q31_t)0xD5FD3847, (q31_t)0x8727B904, (q31_t)0xD5CDC062, + (q31_t)0x8738545E, (q31_t)0xD59E4EFE, (q31_t)0x87490257, + (q31_t)0xD56EE424, (q31_t)0x8759C2EF, (q31_t)0xD53F7FDA, + (q31_t)0x876A9621, (q31_t)0xD5102227, (q31_t)0x877B7BEC, + (q31_t)0xD4E0CB14, (q31_t)0x878C744C, (q31_t)0xD4B17AA7, + (q31_t)0x879D7F40, (q31_t)0xD48230E8, (q31_t)0x87AE9CC5, + (q31_t)0xD452EDDE, (q31_t)0x87BFCCD7, (q31_t)0xD423B190, + (q31_t)0x87D10F75, (q31_t)0xD3F47C06, (q31_t)0x87E2649B, + (q31_t)0xD3C54D46, (q31_t)0x87F3CC47, (q31_t)0xD3962559, + (q31_t)0x88054677, (q31_t)0xD3670445, (q31_t)0x8816D327, + (q31_t)0xD337EA12, (q31_t)0x88287255, (q31_t)0xD308D6C6, + (q31_t)0x883A23FE, (q31_t)0xD2D9CA6A, (q31_t)0x884BE820, + (q31_t)0xD2AAC504, (q31_t)0x885DBEB7, (q31_t)0xD27BC69C, + (q31_t)0x886FA7C2, (q31_t)0xD24CCF38, (q31_t)0x8881A33C, + (q31_t)0xD21DDEE1, (q31_t)0x8893B124, (q31_t)0xD1EEF59E, + (q31_t)0x88A5D177, (q31_t)0xD1C01374, (q31_t)0x88B80431, + (q31_t)0xD191386D, (q31_t)0x88CA4951, (q31_t)0xD162648F, + (q31_t)0x88DCA0D3, (q31_t)0xD13397E1, (q31_t)0x88EF0AB4, + (q31_t)0xD104D26B, (q31_t)0x890186F1, (q31_t)0xD0D61433, + (q31_t)0x89141589, (q31_t)0xD0A75D42, (q31_t)0x8926B677, + (q31_t)0xD078AD9D, (q31_t)0x893969B9, (q31_t)0xD04A054D, + (q31_t)0x894C2F4C, (q31_t)0xD01B6459, (q31_t)0x895F072D, + (q31_t)0xCFECCAC7, (q31_t)0x8971F15A, (q31_t)0xCFBE389F, + (q31_t)0x8984EDCF, (q31_t)0xCF8FADE8, (q31_t)0x8997FC89, + (q31_t)0xCF612AAA, (q31_t)0x89AB1D86, (q31_t)0xCF32AEEB, + (q31_t)0x89BE50C3, (q31_t)0xCF043AB2, (q31_t)0x89D1963C, + (q31_t)0xCED5CE08, (q31_t)0x89E4EDEE, (q31_t)0xCEA768F2, + (q31_t)0x89F857D8, (q31_t)0xCE790B78, (q31_t)0x8A0BD3F5, + (q31_t)0xCE4AB5A2, (q31_t)0x8A1F6242, (q31_t)0xCE1C6776, + (q31_t)0x8A3302BD, (q31_t)0xCDEE20FC, (q31_t)0x8A46B563, + (q31_t)0xCDBFE23A, (q31_t)0x8A5A7A30, (q31_t)0xCD91AB38, + (q31_t)0x8A6E5122, (q31_t)0xCD637BFD, (q31_t)0x8A823A35, + (q31_t)0xCD355490, (q31_t)0x8A963567, (q31_t)0xCD0734F8, + (q31_t)0x8AAA42B4, (q31_t)0xCCD91D3D, (q31_t)0x8ABE6219, + (q31_t)0xCCAB0D65, (q31_t)0x8AD29393, (q31_t)0xCC7D0577, + (q31_t)0x8AE6D71F, (q31_t)0xCC4F057B, (q31_t)0x8AFB2CBA, + (q31_t)0xCC210D78, (q31_t)0x8B0F9461, (q31_t)0xCBF31D75, + (q31_t)0x8B240E10, (q31_t)0xCBC53578, (q31_t)0x8B3899C5, + (q31_t)0xCB975589, (q31_t)0x8B4D377C, (q31_t)0xCB697DB0, + (q31_t)0x8B61E732, (q31_t)0xCB3BADF2, (q31_t)0x8B76A8E4, + (q31_t)0xCB0DE658, (q31_t)0x8B8B7C8F, (q31_t)0xCAE026E8, + (q31_t)0x8BA0622F, (q31_t)0xCAB26FA9, (q31_t)0x8BB559C1, + (q31_t)0xCA84C0A2, (q31_t)0x8BCA6342, (q31_t)0xCA5719DB, + (q31_t)0x8BDF7EAF, (q31_t)0xCA297B5A, (q31_t)0x8BF4AC05, + (q31_t)0xC9FBE527, (q31_t)0x8C09EB40, (q31_t)0xC9CE5748, + (q31_t)0x8C1F3C5C, (q31_t)0xC9A0D1C4, (q31_t)0x8C349F58, + (q31_t)0xC97354A3, (q31_t)0x8C4A142F, (q31_t)0xC945DFEC, + (q31_t)0x8C5F9ADD, (q31_t)0xC91873A5, (q31_t)0x8C753361, + (q31_t)0xC8EB0FD6, (q31_t)0x8C8ADDB6, (q31_t)0xC8BDB485, + (q31_t)0x8CA099D9, (q31_t)0xC89061BA, (q31_t)0x8CB667C7, + (q31_t)0xC863177B, (q31_t)0x8CCC477D, (q31_t)0xC835D5D0, + (q31_t)0x8CE238F6, (q31_t)0xC8089CBF, (q31_t)0x8CF83C30, + (q31_t)0xC7DB6C50, (q31_t)0x8D0E5127, (q31_t)0xC7AE4489, + (q31_t)0x8D2477D8, (q31_t)0xC7812571, (q31_t)0x8D3AB03F, + (q31_t)0xC7540F10, (q31_t)0x8D50FA59, (q31_t)0xC727016C, + (q31_t)0x8D675623, (q31_t)0xC6F9FC8D, (q31_t)0x8D7DC399, + (q31_t)0xC6CD0079, (q31_t)0x8D9442B7, (q31_t)0xC6A00D36, + (q31_t)0x8DAAD37B, (q31_t)0xC67322CD, (q31_t)0x8DC175E0, + (q31_t)0xC6464144, (q31_t)0x8DD829E4, (q31_t)0xC61968A2, + (q31_t)0x8DEEEF82, (q31_t)0xC5EC98ED, (q31_t)0x8E05C6B7, + (q31_t)0xC5BFD22E, (q31_t)0x8E1CAF80, (q31_t)0xC593146A, + (q31_t)0x8E33A9D9, (q31_t)0xC5665FA8, (q31_t)0x8E4AB5BF, + (q31_t)0xC539B3F0, (q31_t)0x8E61D32D, (q31_t)0xC50D1148, + (q31_t)0x8E790222, (q31_t)0xC4E077B8, (q31_t)0x8E904298, + (q31_t)0xC4B3E746, (q31_t)0x8EA7948C, (q31_t)0xC4875FF8, + (q31_t)0x8EBEF7FB, (q31_t)0xC45AE1D7, (q31_t)0x8ED66CE1, + (q31_t)0xC42E6CE8, (q31_t)0x8EEDF33B, (q31_t)0xC4020132, + (q31_t)0x8F058B04, (q31_t)0xC3D59EBD, (q31_t)0x8F1D343A, + (q31_t)0xC3A9458F, (q31_t)0x8F34EED8, (q31_t)0xC37CF5B0, + (q31_t)0x8F4CBADB, (q31_t)0xC350AF25, (q31_t)0x8F64983F, + (q31_t)0xC32471F6, (q31_t)0x8F7C8701, (q31_t)0xC2F83E2A, + (q31_t)0x8F94871D, (q31_t)0xC2CC13C7, (q31_t)0x8FAC988E, + (q31_t)0xC29FF2D4, (q31_t)0x8FC4BB53, (q31_t)0xC273DB58, + (q31_t)0x8FDCEF66, (q31_t)0xC247CD5A, (q31_t)0x8FF534C4, + (q31_t)0xC21BC8E0, (q31_t)0x900D8B69, (q31_t)0xC1EFCDF2, + (q31_t)0x9025F352, (q31_t)0xC1C3DC96, (q31_t)0x903E6C7A, + (q31_t)0xC197F4D3, (q31_t)0x9056F6DF, (q31_t)0xC16C16B0, + (q31_t)0x906F927B, (q31_t)0xC1404233, (q31_t)0x90883F4C, + (q31_t)0xC1147763, (q31_t)0x90A0FD4E, (q31_t)0xC0E8B648, + (q31_t)0x90B9CC7C, (q31_t)0xC0BCFEE7, (q31_t)0x90D2ACD3, + (q31_t)0xC0915147, (q31_t)0x90EB9E50, (q31_t)0xC065AD70, + (q31_t)0x9104A0ED, (q31_t)0xC03A1368, (q31_t)0x911DB4A8, + (q31_t)0xC00E8335, (q31_t)0x9136D97D, (q31_t)0xBFE2FCDF, + (q31_t)0x91500F67, (q31_t)0xBFB7806C, (q31_t)0x91695663, + (q31_t)0xBF8C0DE2, (q31_t)0x9182AE6C, (q31_t)0xBF60A54A, + (q31_t)0x919C1780, (q31_t)0xBF3546A8, (q31_t)0x91B5919A, + (q31_t)0xBF09F204, (q31_t)0x91CF1CB6, (q31_t)0xBEDEA765, + (q31_t)0x91E8B8D0, (q31_t)0xBEB366D1, (q31_t)0x920265E4, + (q31_t)0xBE88304F, (q31_t)0x921C23EE, (q31_t)0xBE5D03E5, + (q31_t)0x9235F2EB, (q31_t)0xBE31E19B, (q31_t)0x924FD2D6, + (q31_t)0xBE06C977, (q31_t)0x9269C3AC, (q31_t)0xBDDBBB7F, + (q31_t)0x9283C567, (q31_t)0xBDB0B7BA, (q31_t)0x929DD805, + (q31_t)0xBD85BE2F, (q31_t)0x92B7FB82, (q31_t)0xBD5ACEE5, + (q31_t)0x92D22FD8, (q31_t)0xBD2FE9E1, (q31_t)0x92EC7505, + (q31_t)0xBD050F2C, (q31_t)0x9306CB04, (q31_t)0xBCDA3ECA, + (q31_t)0x932131D1, (q31_t)0xBCAF78C3, (q31_t)0x933BA968, + (q31_t)0xBC84BD1E, (q31_t)0x935631C5, (q31_t)0xBC5A0BE1, + (q31_t)0x9370CAE4, (q31_t)0xBC2F6513, (q31_t)0x938B74C0, + (q31_t)0xBC04C8BA, (q31_t)0x93A62F56, (q31_t)0xBBDA36DC, + (q31_t)0x93C0FAA2, (q31_t)0xBBAFAF81, (q31_t)0x93DBD69F, + (q31_t)0xBB8532AF, (q31_t)0x93F6C34A, (q31_t)0xBB5AC06C, + (q31_t)0x9411C09D, (q31_t)0xBB3058C0, (q31_t)0x942CCE95, + (q31_t)0xBB05FBB0, (q31_t)0x9447ED2F, (q31_t)0xBADBA943, + (q31_t)0x94631C64, (q31_t)0xBAB1617F, (q31_t)0x947E5C32, + (q31_t)0xBA87246C, (q31_t)0x9499AC95, (q31_t)0xBA5CF210, + (q31_t)0x94B50D87, (q31_t)0xBA32CA70, (q31_t)0x94D07F05, + (q31_t)0xBA08AD94, (q31_t)0x94EC010B, (q31_t)0xB9DE9B83, + (q31_t)0x95079393, (q31_t)0xB9B49442, (q31_t)0x9523369B, + (q31_t)0xB98A97D8, (q31_t)0x953EEA1E, (q31_t)0xB960A64B, + (q31_t)0x955AAE17, (q31_t)0xB936BFA3, (q31_t)0x95768282, + (q31_t)0xB90CE3E6, (q31_t)0x9592675B, (q31_t)0xB8E31319, + (q31_t)0x95AE5C9E, (q31_t)0xB8B94D44, (q31_t)0x95CA6246, + (q31_t)0xB88F926C, (q31_t)0x95E6784F, (q31_t)0xB865E299, + (q31_t)0x96029EB5, (q31_t)0xB83C3DD1, (q31_t)0x961ED573, + (q31_t)0xB812A419, (q31_t)0x963B1C85, (q31_t)0xB7E9157A, + (q31_t)0x965773E7, (q31_t)0xB7BF91F8, (q31_t)0x9673DB94, + (q31_t)0xB796199B, (q31_t)0x96905387, (q31_t)0xB76CAC68, + (q31_t)0x96ACDBBD, (q31_t)0xB7434A67, (q31_t)0x96C97431, + (q31_t)0xB719F39D, (q31_t)0x96E61CDF, (q31_t)0xB6F0A811, + (q31_t)0x9702D5C2, (q31_t)0xB6C767CA, (q31_t)0x971F9ED6, + (q31_t)0xB69E32CD, (q31_t)0x973C7816, (q31_t)0xB6750921, + (q31_t)0x9759617E, (q31_t)0xB64BEACC, (q31_t)0x97765B0A, + (q31_t)0xB622D7D5, (q31_t)0x979364B5, (q31_t)0xB5F9D042, + (q31_t)0x97B07E7A, (q31_t)0xB5D0D41A, (q31_t)0x97CDA855, + (q31_t)0xB5A7E362, (q31_t)0x97EAE241, (q31_t)0xB57EFE21, + (q31_t)0x98082C3B, (q31_t)0xB556245E, (q31_t)0x9825863D, + (q31_t)0xB52D561E, (q31_t)0x9842F043, (q31_t)0xB5049368, + (q31_t)0x98606A48, (q31_t)0xB4DBDC42, (q31_t)0x987DF449, + (q31_t)0xB4B330B2, (q31_t)0x989B8E3F, (q31_t)0xB48A90C0, + (q31_t)0x98B93828, (q31_t)0xB461FC70, (q31_t)0x98D6F1FE, + (q31_t)0xB43973C9, (q31_t)0x98F4BBBC, (q31_t)0xB410F6D2, + (q31_t)0x9912955E, (q31_t)0xB3E88591, (q31_t)0x99307EE0, + (q31_t)0xB3C0200C, (q31_t)0x994E783C, (q31_t)0xB397C649, + (q31_t)0x996C816F, (q31_t)0xB36F784E, (q31_t)0x998A9A73, + (q31_t)0xB3473622, (q31_t)0x99A8C344, (q31_t)0xB31EFFCB, + (q31_t)0x99C6FBDE, (q31_t)0xB2F6D54F, (q31_t)0x99E5443A, + (q31_t)0xB2CEB6B5, (q31_t)0x9A039C56, (q31_t)0xB2A6A401, + (q31_t)0x9A22042C, (q31_t)0xB27E9D3B, (q31_t)0x9A407BB8, + (q31_t)0xB256A26A, (q31_t)0x9A5F02F5, (q31_t)0xB22EB392, + (q31_t)0x9A7D99DD, (q31_t)0xB206D0BA, (q31_t)0x9A9C406D, + (q31_t)0xB1DEF9E8, (q31_t)0x9ABAF6A0, (q31_t)0xB1B72F23, + (q31_t)0x9AD9BC71, (q31_t)0xB18F7070, (q31_t)0x9AF891DB, + (q31_t)0xB167BDD6, (q31_t)0x9B1776D9, (q31_t)0xB140175B, + (q31_t)0x9B366B67, (q31_t)0xB1187D05, (q31_t)0x9B556F80, + (q31_t)0xB0F0EEDA, (q31_t)0x9B748320, (q31_t)0xB0C96CDF, + (q31_t)0x9B93A640, (q31_t)0xB0A1F71C, (q31_t)0x9BB2D8DD, + (q31_t)0xB07A8D97, (q31_t)0x9BD21AF2, (q31_t)0xB0533055, + (q31_t)0x9BF16C7A, (q31_t)0xB02BDF5C, (q31_t)0x9C10CD70, + (q31_t)0xB0049AB2, (q31_t)0x9C303DCF, (q31_t)0xAFDD625F, + (q31_t)0x9C4FBD92, (q31_t)0xAFB63667, (q31_t)0x9C6F4CB5, + (q31_t)0xAF8F16D0, (q31_t)0x9C8EEB33, (q31_t)0xAF6803A1, + (q31_t)0x9CAE9907, (q31_t)0xAF40FCE0, (q31_t)0x9CCE562B, + (q31_t)0xAF1A0293, (q31_t)0x9CEE229C, (q31_t)0xAEF314BF, + (q31_t)0x9D0DFE53, (q31_t)0xAECC336B, (q31_t)0x9D2DE94D, + (q31_t)0xAEA55E9D, (q31_t)0x9D4DE384, (q31_t)0xAE7E965B, + (q31_t)0x9D6DECF4, (q31_t)0xAE57DAAA, (q31_t)0x9D8E0596, + (q31_t)0xAE312B91, (q31_t)0x9DAE2D68, (q31_t)0xAE0A8916, + (q31_t)0x9DCE6462, (q31_t)0xADE3F33E, (q31_t)0x9DEEAA82, + (q31_t)0xADBD6A10, (q31_t)0x9E0EFFC1, (q31_t)0xAD96ED91, + (q31_t)0x9E2F641A, (q31_t)0xAD707DC8, (q31_t)0x9E4FD789, + (q31_t)0xAD4A1ABA, (q31_t)0x9E705A09, (q31_t)0xAD23C46D, + (q31_t)0x9E90EB94, (q31_t)0xACFD7AE8, (q31_t)0x9EB18C26, + (q31_t)0xACD73E30, (q31_t)0x9ED23BB9, (q31_t)0xACB10E4A, + (q31_t)0x9EF2FA48, (q31_t)0xAC8AEB3E, (q31_t)0x9F13C7D0, + (q31_t)0xAC64D510, (q31_t)0x9F34A449, (q31_t)0xAC3ECBC7, + (q31_t)0x9F558FB0, (q31_t)0xAC18CF68, (q31_t)0x9F7689FF, + (q31_t)0xABF2DFFA, (q31_t)0x9F979331, (q31_t)0xABCCFD82, + (q31_t)0x9FB8AB41, (q31_t)0xABA72806, (q31_t)0x9FD9D22A, + (q31_t)0xAB815F8C, (q31_t)0x9FFB07E7, (q31_t)0xAB5BA41A, + (q31_t)0xA01C4C72, (q31_t)0xAB35F5B5, (q31_t)0xA03D9FC7, + (q31_t)0xAB105464, (q31_t)0xA05F01E1, (q31_t)0xAAEAC02B, + (q31_t)0xA08072BA, (q31_t)0xAAC53912, (q31_t)0xA0A1F24C, + (q31_t)0xAA9FBF1D, (q31_t)0xA0C38094, (q31_t)0xAA7A5253, + (q31_t)0xA0E51D8C, (q31_t)0xAA54F2B9, (q31_t)0xA106C92E, + (q31_t)0xAA2FA055, (q31_t)0xA1288376, (q31_t)0xAA0A5B2D, + (q31_t)0xA14A4C5E, (q31_t)0xA9E52347, (q31_t)0xA16C23E1, + (q31_t)0xA9BFF8A8, (q31_t)0xA18E09F9, (q31_t)0xA99ADB56, + (q31_t)0xA1AFFEA2, (q31_t)0xA975CB56, (q31_t)0xA1D201D7, + (q31_t)0xA950C8AF, (q31_t)0xA1F41391, (q31_t)0xA92BD366, + (q31_t)0xA21633CD, (q31_t)0xA906EB81, (q31_t)0xA2386283, + (q31_t)0xA8E21106, (q31_t)0xA25A9FB1, (q31_t)0xA8BD43FA, + (q31_t)0xA27CEB4F, (q31_t)0xA8988463, (q31_t)0xA29F4559, + (q31_t)0xA873D246, (q31_t)0xA2C1ADC9, (q31_t)0xA84F2DA9, + (q31_t)0xA2E4249A, (q31_t)0xA82A9693, (q31_t)0xA306A9C7, + (q31_t)0xA8060D08, (q31_t)0xA3293D4B, (q31_t)0xA7E1910E, + (q31_t)0xA34BDF20, (q31_t)0xA7BD22AB, (q31_t)0xA36E8F40, + (q31_t)0xA798C1E4, (q31_t)0xA3914DA7, (q31_t)0xA7746EC0, + (q31_t)0xA3B41A4F, (q31_t)0xA7502943, (q31_t)0xA3D6F533, + (q31_t)0xA72BF173, (q31_t)0xA3F9DE4D, (q31_t)0xA707C756, + (q31_t)0xA41CD598, (q31_t)0xA6E3AAF2, (q31_t)0xA43FDB0F, + (q31_t)0xA6BF9C4B, (q31_t)0xA462EEAC, (q31_t)0xA69B9B68, + (q31_t)0xA4861069, (q31_t)0xA677A84E, (q31_t)0xA4A94042, + (q31_t)0xA653C302, (q31_t)0xA4CC7E31, (q31_t)0xA62FEB8B, + (q31_t)0xA4EFCA31, (q31_t)0xA60C21ED, (q31_t)0xA513243B, + (q31_t)0xA5E8662F, (q31_t)0xA5368C4B, (q31_t)0xA5C4B855, + (q31_t)0xA55A025B, (q31_t)0xA5A11865, (q31_t)0xA57D8666, + (q31_t)0xA57D8666, (q31_t)0xA5A11865, (q31_t)0xA55A025B, + (q31_t)0xA5C4B855, (q31_t)0xA5368C4B, (q31_t)0xA5E8662F, + (q31_t)0xA513243B, (q31_t)0xA60C21ED, (q31_t)0xA4EFCA31, + (q31_t)0xA62FEB8B, (q31_t)0xA4CC7E31, (q31_t)0xA653C302, + (q31_t)0xA4A94042, (q31_t)0xA677A84E, (q31_t)0xA4861069, + (q31_t)0xA69B9B68, (q31_t)0xA462EEAC, (q31_t)0xA6BF9C4B, + (q31_t)0xA43FDB0F, (q31_t)0xA6E3AAF2, (q31_t)0xA41CD598, + (q31_t)0xA707C756, (q31_t)0xA3F9DE4D, (q31_t)0xA72BF173, + (q31_t)0xA3D6F533, (q31_t)0xA7502943, (q31_t)0xA3B41A4F, + (q31_t)0xA7746EC0, (q31_t)0xA3914DA7, (q31_t)0xA798C1E4, + (q31_t)0xA36E8F40, (q31_t)0xA7BD22AB, (q31_t)0xA34BDF20, + (q31_t)0xA7E1910E, (q31_t)0xA3293D4B, (q31_t)0xA8060D08, + (q31_t)0xA306A9C7, (q31_t)0xA82A9693, (q31_t)0xA2E4249A, + (q31_t)0xA84F2DA9, (q31_t)0xA2C1ADC9, (q31_t)0xA873D246, + (q31_t)0xA29F4559, (q31_t)0xA8988463, (q31_t)0xA27CEB4F, + (q31_t)0xA8BD43FA, (q31_t)0xA25A9FB1, (q31_t)0xA8E21106, + (q31_t)0xA2386283, (q31_t)0xA906EB81, (q31_t)0xA21633CD, + (q31_t)0xA92BD366, (q31_t)0xA1F41391, (q31_t)0xA950C8AF, + (q31_t)0xA1D201D7, (q31_t)0xA975CB56, (q31_t)0xA1AFFEA2, + (q31_t)0xA99ADB56, (q31_t)0xA18E09F9, (q31_t)0xA9BFF8A8, + (q31_t)0xA16C23E1, (q31_t)0xA9E52347, (q31_t)0xA14A4C5E, + (q31_t)0xAA0A5B2D, (q31_t)0xA1288376, (q31_t)0xAA2FA055, + (q31_t)0xA106C92E, (q31_t)0xAA54F2B9, (q31_t)0xA0E51D8C, + (q31_t)0xAA7A5253, (q31_t)0xA0C38094, (q31_t)0xAA9FBF1D, + (q31_t)0xA0A1F24C, (q31_t)0xAAC53912, (q31_t)0xA08072BA, + (q31_t)0xAAEAC02B, (q31_t)0xA05F01E1, (q31_t)0xAB105464, + (q31_t)0xA03D9FC7, (q31_t)0xAB35F5B5, (q31_t)0xA01C4C72, + (q31_t)0xAB5BA41A, (q31_t)0x9FFB07E7, (q31_t)0xAB815F8C, + (q31_t)0x9FD9D22A, (q31_t)0xABA72806, (q31_t)0x9FB8AB41, + (q31_t)0xABCCFD82, (q31_t)0x9F979331, (q31_t)0xABF2DFFA, + (q31_t)0x9F7689FF, (q31_t)0xAC18CF68, (q31_t)0x9F558FB0, + (q31_t)0xAC3ECBC7, (q31_t)0x9F34A449, (q31_t)0xAC64D510, + (q31_t)0x9F13C7D0, (q31_t)0xAC8AEB3E, (q31_t)0x9EF2FA48, + (q31_t)0xACB10E4A, (q31_t)0x9ED23BB9, (q31_t)0xACD73E30, + (q31_t)0x9EB18C26, (q31_t)0xACFD7AE8, (q31_t)0x9E90EB94, + (q31_t)0xAD23C46D, (q31_t)0x9E705A09, (q31_t)0xAD4A1ABA, + (q31_t)0x9E4FD789, (q31_t)0xAD707DC8, (q31_t)0x9E2F641A, + (q31_t)0xAD96ED91, (q31_t)0x9E0EFFC1, (q31_t)0xADBD6A10, + (q31_t)0x9DEEAA82, (q31_t)0xADE3F33E, (q31_t)0x9DCE6462, + (q31_t)0xAE0A8916, (q31_t)0x9DAE2D68, (q31_t)0xAE312B91, + (q31_t)0x9D8E0596, (q31_t)0xAE57DAAA, (q31_t)0x9D6DECF4, + (q31_t)0xAE7E965B, (q31_t)0x9D4DE384, (q31_t)0xAEA55E9D, + (q31_t)0x9D2DE94D, (q31_t)0xAECC336B, (q31_t)0x9D0DFE53, + (q31_t)0xAEF314BF, (q31_t)0x9CEE229C, (q31_t)0xAF1A0293, + (q31_t)0x9CCE562B, (q31_t)0xAF40FCE0, (q31_t)0x9CAE9907, + (q31_t)0xAF6803A1, (q31_t)0x9C8EEB33, (q31_t)0xAF8F16D0, + (q31_t)0x9C6F4CB5, (q31_t)0xAFB63667, (q31_t)0x9C4FBD92, + (q31_t)0xAFDD625F, (q31_t)0x9C303DCF, (q31_t)0xB0049AB2, + (q31_t)0x9C10CD70, (q31_t)0xB02BDF5C, (q31_t)0x9BF16C7A, + (q31_t)0xB0533055, (q31_t)0x9BD21AF2, (q31_t)0xB07A8D97, + (q31_t)0x9BB2D8DD, (q31_t)0xB0A1F71C, (q31_t)0x9B93A640, + (q31_t)0xB0C96CDF, (q31_t)0x9B748320, (q31_t)0xB0F0EEDA, + (q31_t)0x9B556F80, (q31_t)0xB1187D05, (q31_t)0x9B366B67, + (q31_t)0xB140175B, (q31_t)0x9B1776D9, (q31_t)0xB167BDD6, + (q31_t)0x9AF891DB, (q31_t)0xB18F7070, (q31_t)0x9AD9BC71, + (q31_t)0xB1B72F23, (q31_t)0x9ABAF6A0, (q31_t)0xB1DEF9E8, + (q31_t)0x9A9C406D, (q31_t)0xB206D0BA, (q31_t)0x9A7D99DD, + (q31_t)0xB22EB392, (q31_t)0x9A5F02F5, (q31_t)0xB256A26A, + (q31_t)0x9A407BB8, (q31_t)0xB27E9D3B, (q31_t)0x9A22042C, + (q31_t)0xB2A6A401, (q31_t)0x9A039C56, (q31_t)0xB2CEB6B5, + (q31_t)0x99E5443A, (q31_t)0xB2F6D54F, (q31_t)0x99C6FBDE, + (q31_t)0xB31EFFCB, (q31_t)0x99A8C344, (q31_t)0xB3473622, + (q31_t)0x998A9A73, (q31_t)0xB36F784E, (q31_t)0x996C816F, + (q31_t)0xB397C649, (q31_t)0x994E783C, (q31_t)0xB3C0200C, + (q31_t)0x99307EE0, (q31_t)0xB3E88591, (q31_t)0x9912955E, + (q31_t)0xB410F6D2, (q31_t)0x98F4BBBC, (q31_t)0xB43973C9, + (q31_t)0x98D6F1FE, (q31_t)0xB461FC70, (q31_t)0x98B93828, + (q31_t)0xB48A90C0, (q31_t)0x989B8E3F, (q31_t)0xB4B330B2, + (q31_t)0x987DF449, (q31_t)0xB4DBDC42, (q31_t)0x98606A48, + (q31_t)0xB5049368, (q31_t)0x9842F043, (q31_t)0xB52D561E, + (q31_t)0x9825863D, (q31_t)0xB556245E, (q31_t)0x98082C3B, + (q31_t)0xB57EFE21, (q31_t)0x97EAE241, (q31_t)0xB5A7E362, + (q31_t)0x97CDA855, (q31_t)0xB5D0D41A, (q31_t)0x97B07E7A, + (q31_t)0xB5F9D042, (q31_t)0x979364B5, (q31_t)0xB622D7D5, + (q31_t)0x97765B0A, (q31_t)0xB64BEACC, (q31_t)0x9759617E, + (q31_t)0xB6750921, (q31_t)0x973C7816, (q31_t)0xB69E32CD, + (q31_t)0x971F9ED6, (q31_t)0xB6C767CA, (q31_t)0x9702D5C2, + (q31_t)0xB6F0A811, (q31_t)0x96E61CDF, (q31_t)0xB719F39D, + (q31_t)0x96C97431, (q31_t)0xB7434A67, (q31_t)0x96ACDBBD, + (q31_t)0xB76CAC68, (q31_t)0x96905387, (q31_t)0xB796199B, + (q31_t)0x9673DB94, (q31_t)0xB7BF91F8, (q31_t)0x965773E7, + (q31_t)0xB7E9157A, (q31_t)0x963B1C85, (q31_t)0xB812A419, + (q31_t)0x961ED573, (q31_t)0xB83C3DD1, (q31_t)0x96029EB5, + (q31_t)0xB865E299, (q31_t)0x95E6784F, (q31_t)0xB88F926C, + (q31_t)0x95CA6246, (q31_t)0xB8B94D44, (q31_t)0x95AE5C9E, + (q31_t)0xB8E31319, (q31_t)0x9592675B, (q31_t)0xB90CE3E6, + (q31_t)0x95768282, (q31_t)0xB936BFA3, (q31_t)0x955AAE17, + (q31_t)0xB960A64B, (q31_t)0x953EEA1E, (q31_t)0xB98A97D8, + (q31_t)0x9523369B, (q31_t)0xB9B49442, (q31_t)0x95079393, + (q31_t)0xB9DE9B83, (q31_t)0x94EC010B, (q31_t)0xBA08AD94, + (q31_t)0x94D07F05, (q31_t)0xBA32CA70, (q31_t)0x94B50D87, + (q31_t)0xBA5CF210, (q31_t)0x9499AC95, (q31_t)0xBA87246C, + (q31_t)0x947E5C32, (q31_t)0xBAB1617F, (q31_t)0x94631C64, + (q31_t)0xBADBA943, (q31_t)0x9447ED2F, (q31_t)0xBB05FBB0, + (q31_t)0x942CCE95, (q31_t)0xBB3058C0, (q31_t)0x9411C09D, + (q31_t)0xBB5AC06C, (q31_t)0x93F6C34A, (q31_t)0xBB8532AF, + (q31_t)0x93DBD69F, (q31_t)0xBBAFAF81, (q31_t)0x93C0FAA2, + (q31_t)0xBBDA36DC, (q31_t)0x93A62F56, (q31_t)0xBC04C8BA, + (q31_t)0x938B74C0, (q31_t)0xBC2F6513, (q31_t)0x9370CAE4, + (q31_t)0xBC5A0BE1, (q31_t)0x935631C5, (q31_t)0xBC84BD1E, + (q31_t)0x933BA968, (q31_t)0xBCAF78C3, (q31_t)0x932131D1, + (q31_t)0xBCDA3ECA, (q31_t)0x9306CB04, (q31_t)0xBD050F2C, + (q31_t)0x92EC7505, (q31_t)0xBD2FE9E1, (q31_t)0x92D22FD8, + (q31_t)0xBD5ACEE5, (q31_t)0x92B7FB82, (q31_t)0xBD85BE2F, + (q31_t)0x929DD805, (q31_t)0xBDB0B7BA, (q31_t)0x9283C567, + (q31_t)0xBDDBBB7F, (q31_t)0x9269C3AC, (q31_t)0xBE06C977, + (q31_t)0x924FD2D6, (q31_t)0xBE31E19B, (q31_t)0x9235F2EB, + (q31_t)0xBE5D03E5, (q31_t)0x921C23EE, (q31_t)0xBE88304F, + (q31_t)0x920265E4, (q31_t)0xBEB366D1, (q31_t)0x91E8B8D0, + (q31_t)0xBEDEA765, (q31_t)0x91CF1CB6, (q31_t)0xBF09F204, + (q31_t)0x91B5919A, (q31_t)0xBF3546A8, (q31_t)0x919C1780, + (q31_t)0xBF60A54A, (q31_t)0x9182AE6C, (q31_t)0xBF8C0DE2, + (q31_t)0x91695663, (q31_t)0xBFB7806C, (q31_t)0x91500F67, + (q31_t)0xBFE2FCDF, (q31_t)0x9136D97D, (q31_t)0xC00E8335, + (q31_t)0x911DB4A8, (q31_t)0xC03A1368, (q31_t)0x9104A0ED, + (q31_t)0xC065AD70, (q31_t)0x90EB9E50, (q31_t)0xC0915147, + (q31_t)0x90D2ACD3, (q31_t)0xC0BCFEE7, (q31_t)0x90B9CC7C, + (q31_t)0xC0E8B648, (q31_t)0x90A0FD4E, (q31_t)0xC1147763, + (q31_t)0x90883F4C, (q31_t)0xC1404233, (q31_t)0x906F927B, + (q31_t)0xC16C16B0, (q31_t)0x9056F6DF, (q31_t)0xC197F4D3, + (q31_t)0x903E6C7A, (q31_t)0xC1C3DC96, (q31_t)0x9025F352, + (q31_t)0xC1EFCDF2, (q31_t)0x900D8B69, (q31_t)0xC21BC8E0, + (q31_t)0x8FF534C4, (q31_t)0xC247CD5A, (q31_t)0x8FDCEF66, + (q31_t)0xC273DB58, (q31_t)0x8FC4BB53, (q31_t)0xC29FF2D4, + (q31_t)0x8FAC988E, (q31_t)0xC2CC13C7, (q31_t)0x8F94871D, + (q31_t)0xC2F83E2A, (q31_t)0x8F7C8701, (q31_t)0xC32471F6, + (q31_t)0x8F64983F, (q31_t)0xC350AF25, (q31_t)0x8F4CBADB, + (q31_t)0xC37CF5B0, (q31_t)0x8F34EED8, (q31_t)0xC3A9458F, + (q31_t)0x8F1D343A, (q31_t)0xC3D59EBD, (q31_t)0x8F058B04, + (q31_t)0xC4020132, (q31_t)0x8EEDF33B, (q31_t)0xC42E6CE8, + (q31_t)0x8ED66CE1, (q31_t)0xC45AE1D7, (q31_t)0x8EBEF7FB, + (q31_t)0xC4875FF8, (q31_t)0x8EA7948C, (q31_t)0xC4B3E746, + (q31_t)0x8E904298, (q31_t)0xC4E077B8, (q31_t)0x8E790222, + (q31_t)0xC50D1148, (q31_t)0x8E61D32D, (q31_t)0xC539B3F0, + (q31_t)0x8E4AB5BF, (q31_t)0xC5665FA8, (q31_t)0x8E33A9D9, + (q31_t)0xC593146A, (q31_t)0x8E1CAF80, (q31_t)0xC5BFD22E, + (q31_t)0x8E05C6B7, (q31_t)0xC5EC98ED, (q31_t)0x8DEEEF82, + (q31_t)0xC61968A2, (q31_t)0x8DD829E4, (q31_t)0xC6464144, + (q31_t)0x8DC175E0, (q31_t)0xC67322CD, (q31_t)0x8DAAD37B, + (q31_t)0xC6A00D36, (q31_t)0x8D9442B7, (q31_t)0xC6CD0079, + (q31_t)0x8D7DC399, (q31_t)0xC6F9FC8D, (q31_t)0x8D675623, + (q31_t)0xC727016C, (q31_t)0x8D50FA59, (q31_t)0xC7540F10, + (q31_t)0x8D3AB03F, (q31_t)0xC7812571, (q31_t)0x8D2477D8, + (q31_t)0xC7AE4489, (q31_t)0x8D0E5127, (q31_t)0xC7DB6C50, + (q31_t)0x8CF83C30, (q31_t)0xC8089CBF, (q31_t)0x8CE238F6, + (q31_t)0xC835D5D0, (q31_t)0x8CCC477D, (q31_t)0xC863177B, + (q31_t)0x8CB667C7, (q31_t)0xC89061BA, (q31_t)0x8CA099D9, + (q31_t)0xC8BDB485, (q31_t)0x8C8ADDB6, (q31_t)0xC8EB0FD6, + (q31_t)0x8C753361, (q31_t)0xC91873A5, (q31_t)0x8C5F9ADD, + (q31_t)0xC945DFEC, (q31_t)0x8C4A142F, (q31_t)0xC97354A3, + (q31_t)0x8C349F58, (q31_t)0xC9A0D1C4, (q31_t)0x8C1F3C5C, + (q31_t)0xC9CE5748, (q31_t)0x8C09EB40, (q31_t)0xC9FBE527, + (q31_t)0x8BF4AC05, (q31_t)0xCA297B5A, (q31_t)0x8BDF7EAF, + (q31_t)0xCA5719DB, (q31_t)0x8BCA6342, (q31_t)0xCA84C0A2, + (q31_t)0x8BB559C1, (q31_t)0xCAB26FA9, (q31_t)0x8BA0622F, + (q31_t)0xCAE026E8, (q31_t)0x8B8B7C8F, (q31_t)0xCB0DE658, + (q31_t)0x8B76A8E4, (q31_t)0xCB3BADF2, (q31_t)0x8B61E732, + (q31_t)0xCB697DB0, (q31_t)0x8B4D377C, (q31_t)0xCB975589, + (q31_t)0x8B3899C5, (q31_t)0xCBC53578, (q31_t)0x8B240E10, + (q31_t)0xCBF31D75, (q31_t)0x8B0F9461, (q31_t)0xCC210D78, + (q31_t)0x8AFB2CBA, (q31_t)0xCC4F057B, (q31_t)0x8AE6D71F, + (q31_t)0xCC7D0577, (q31_t)0x8AD29393, (q31_t)0xCCAB0D65, + (q31_t)0x8ABE6219, (q31_t)0xCCD91D3D, (q31_t)0x8AAA42B4, + (q31_t)0xCD0734F8, (q31_t)0x8A963567, (q31_t)0xCD355490, + (q31_t)0x8A823A35, (q31_t)0xCD637BFD, (q31_t)0x8A6E5122, + (q31_t)0xCD91AB38, (q31_t)0x8A5A7A30, (q31_t)0xCDBFE23A, + (q31_t)0x8A46B563, (q31_t)0xCDEE20FC, (q31_t)0x8A3302BD, + (q31_t)0xCE1C6776, (q31_t)0x8A1F6242, (q31_t)0xCE4AB5A2, + (q31_t)0x8A0BD3F5, (q31_t)0xCE790B78, (q31_t)0x89F857D8, + (q31_t)0xCEA768F2, (q31_t)0x89E4EDEE, (q31_t)0xCED5CE08, + (q31_t)0x89D1963C, (q31_t)0xCF043AB2, (q31_t)0x89BE50C3, + (q31_t)0xCF32AEEB, (q31_t)0x89AB1D86, (q31_t)0xCF612AAA, + (q31_t)0x8997FC89, (q31_t)0xCF8FADE8, (q31_t)0x8984EDCF, + (q31_t)0xCFBE389F, (q31_t)0x8971F15A, (q31_t)0xCFECCAC7, + (q31_t)0x895F072D, (q31_t)0xD01B6459, (q31_t)0x894C2F4C, + (q31_t)0xD04A054D, (q31_t)0x893969B9, (q31_t)0xD078AD9D, + (q31_t)0x8926B677, (q31_t)0xD0A75D42, (q31_t)0x89141589, + (q31_t)0xD0D61433, (q31_t)0x890186F1, (q31_t)0xD104D26B, + (q31_t)0x88EF0AB4, (q31_t)0xD13397E1, (q31_t)0x88DCA0D3, + (q31_t)0xD162648F, (q31_t)0x88CA4951, (q31_t)0xD191386D, + (q31_t)0x88B80431, (q31_t)0xD1C01374, (q31_t)0x88A5D177, + (q31_t)0xD1EEF59E, (q31_t)0x8893B124, (q31_t)0xD21DDEE1, + (q31_t)0x8881A33C, (q31_t)0xD24CCF38, (q31_t)0x886FA7C2, + (q31_t)0xD27BC69C, (q31_t)0x885DBEB7, (q31_t)0xD2AAC504, + (q31_t)0x884BE820, (q31_t)0xD2D9CA6A, (q31_t)0x883A23FE, + (q31_t)0xD308D6C6, (q31_t)0x88287255, (q31_t)0xD337EA12, + (q31_t)0x8816D327, (q31_t)0xD3670445, (q31_t)0x88054677, + (q31_t)0xD3962559, (q31_t)0x87F3CC47, (q31_t)0xD3C54D46, + (q31_t)0x87E2649B, (q31_t)0xD3F47C06, (q31_t)0x87D10F75, + (q31_t)0xD423B190, (q31_t)0x87BFCCD7, (q31_t)0xD452EDDE, + (q31_t)0x87AE9CC5, (q31_t)0xD48230E8, (q31_t)0x879D7F40, + (q31_t)0xD4B17AA7, (q31_t)0x878C744C, (q31_t)0xD4E0CB14, + (q31_t)0x877B7BEC, (q31_t)0xD5102227, (q31_t)0x876A9621, + (q31_t)0xD53F7FDA, (q31_t)0x8759C2EF, (q31_t)0xD56EE424, + (q31_t)0x87490257, (q31_t)0xD59E4EFE, (q31_t)0x8738545E, + (q31_t)0xD5CDC062, (q31_t)0x8727B904, (q31_t)0xD5FD3847, + (q31_t)0x8717304E, (q31_t)0xD62CB6A7, (q31_t)0x8706BA3C, + (q31_t)0xD65C3B7B, (q31_t)0x86F656D3, (q31_t)0xD68BC6BA, + (q31_t)0x86E60614, (q31_t)0xD6BB585D, (q31_t)0x86D5C802, + (q31_t)0xD6EAF05E, (q31_t)0x86C59C9F, (q31_t)0xD71A8EB5, + (q31_t)0x86B583EE, (q31_t)0xD74A335A, (q31_t)0x86A57DF1, + (q31_t)0xD779DE46, (q31_t)0x86958AAB, (q31_t)0xD7A98F73, + (q31_t)0x8685AA1F, (q31_t)0xD7D946D7, (q31_t)0x8675DC4E, + (q31_t)0xD809046D, (q31_t)0x8666213C, (q31_t)0xD838C82D, + (q31_t)0x865678EA, (q31_t)0xD868920F, (q31_t)0x8646E35B, + (q31_t)0xD898620C, (q31_t)0x86376092, (q31_t)0xD8C8381C, + (q31_t)0x8627F090, (q31_t)0xD8F81439, (q31_t)0x86189359, + (q31_t)0xD927F65B, (q31_t)0x860948EE, (q31_t)0xD957DE7A, + (q31_t)0x85FA1152, (q31_t)0xD987CC8F, (q31_t)0x85EAEC88, + (q31_t)0xD9B7C093, (q31_t)0x85DBDA91, (q31_t)0xD9E7BA7E, + (q31_t)0x85CCDB70, (q31_t)0xDA17BA4A, (q31_t)0x85BDEF27, + (q31_t)0xDA47BFED, (q31_t)0x85AF15B9, (q31_t)0xDA77CB62, + (q31_t)0x85A04F28, (q31_t)0xDAA7DCA1, (q31_t)0x85919B75, + (q31_t)0xDAD7F3A2, (q31_t)0x8582FAA4, (q31_t)0xDB08105E, + (q31_t)0x85746CB7, (q31_t)0xDB3832CD, (q31_t)0x8565F1B0, + (q31_t)0xDB685AE8, (q31_t)0x85578991, (q31_t)0xDB9888A8, + (q31_t)0x8549345C, (q31_t)0xDBC8BC05, (q31_t)0x853AF214, + (q31_t)0xDBF8F4F8, (q31_t)0x852CC2BA, (q31_t)0xDC293379, + (q31_t)0x851EA652, (q31_t)0xDC597781, (q31_t)0x85109CDC, + (q31_t)0xDC89C108, (q31_t)0x8502A65C, (q31_t)0xDCBA1008, + (q31_t)0x84F4C2D3, (q31_t)0xDCEA6478, (q31_t)0x84E6F244, + (q31_t)0xDD1ABE51, (q31_t)0x84D934B0, (q31_t)0xDD4B1D8B, + (q31_t)0x84CB8A1B, (q31_t)0xDD7B8220, (q31_t)0x84BDF285, + (q31_t)0xDDABEC07, (q31_t)0x84B06DF1, (q31_t)0xDDDC5B3A, + (q31_t)0x84A2FC62, (q31_t)0xDE0CCFB1, (q31_t)0x84959DD9, + (q31_t)0xDE3D4963, (q31_t)0x84885257, (q31_t)0xDE6DC84B, + (q31_t)0x847B19E1, (q31_t)0xDE9E4C60, (q31_t)0x846DF476, + (q31_t)0xDECED59B, (q31_t)0x8460E21A, (q31_t)0xDEFF63F4, + (q31_t)0x8453E2CE, (q31_t)0xDF2FF764, (q31_t)0x8446F695, + (q31_t)0xDF608FE3, (q31_t)0x843A1D70, (q31_t)0xDF912D6A, + (q31_t)0x842D5761, (q31_t)0xDFC1CFF2, (q31_t)0x8420A46B, + (q31_t)0xDFF27773, (q31_t)0x8414048F, (q31_t)0xE02323E5, + (q31_t)0x840777CF, (q31_t)0xE053D541, (q31_t)0x83FAFE2E, + (q31_t)0xE0848B7F, (q31_t)0x83EE97AC, (q31_t)0xE0B54698, + (q31_t)0x83E2444D, (q31_t)0xE0E60684, (q31_t)0x83D60411, + (q31_t)0xE116CB3D, (q31_t)0x83C9D6FB, (q31_t)0xE14794B9, + (q31_t)0x83BDBD0D, (q31_t)0xE17862F3, (q31_t)0x83B1B649, + (q31_t)0xE1A935E1, (q31_t)0x83A5C2B0, (q31_t)0xE1DA0D7E, + (q31_t)0x8399E244, (q31_t)0xE20AE9C1, (q31_t)0x838E1507, + (q31_t)0xE23BCAA2, (q31_t)0x83825AFB, (q31_t)0xE26CB01A, + (q31_t)0x8376B422, (q31_t)0xE29D9A22, (q31_t)0x836B207D, + (q31_t)0xE2CE88B2, (q31_t)0x835FA00E, (q31_t)0xE2FF7BC3, + (q31_t)0x835432D8, (q31_t)0xE330734C, (q31_t)0x8348D8DB, + (q31_t)0xE3616F47, (q31_t)0x833D921A, (q31_t)0xE3926FAC, + (q31_t)0x83325E97, (q31_t)0xE3C37473, (q31_t)0x83273E52, + (q31_t)0xE3F47D95, (q31_t)0x831C314E, (q31_t)0xE4258B0A, + (q31_t)0x8311378C, (q31_t)0xE4569CCB, (q31_t)0x8306510F, + (q31_t)0xE487B2CF, (q31_t)0x82FB7DD8, (q31_t)0xE4B8CD10, + (q31_t)0x82F0BDE8, (q31_t)0xE4E9EB86, (q31_t)0x82E61141, + (q31_t)0xE51B0E2A, (q31_t)0x82DB77E5, (q31_t)0xE54C34F3, + (q31_t)0x82D0F1D5, (q31_t)0xE57D5FDA, (q31_t)0x82C67F13, + (q31_t)0xE5AE8ED8, (q31_t)0x82BC1FA1, (q31_t)0xE5DFC1E4, + (q31_t)0x82B1D381, (q31_t)0xE610F8F9, (q31_t)0x82A79AB3, + (q31_t)0xE642340D, (q31_t)0x829D753A, (q31_t)0xE6737319, + (q31_t)0x82936316, (q31_t)0xE6A4B616, (q31_t)0x8289644A, + (q31_t)0xE6D5FCFC, (q31_t)0x827F78D8, (q31_t)0xE70747C3, + (q31_t)0x8275A0C0, (q31_t)0xE7389664, (q31_t)0x826BDC04, + (q31_t)0xE769E8D8, (q31_t)0x82622AA5, (q31_t)0xE79B3F16, + (q31_t)0x82588CA6, (q31_t)0xE7CC9917, (q31_t)0x824F0208, + (q31_t)0xE7FDF6D3, (q31_t)0x82458ACB, (q31_t)0xE82F5844, + (q31_t)0x823C26F2, (q31_t)0xE860BD60, (q31_t)0x8232D67E, + (q31_t)0xE8922621, (q31_t)0x82299971, (q31_t)0xE8C3927F, + (q31_t)0x82206FCB, (q31_t)0xE8F50273, (q31_t)0x8217598F, + (q31_t)0xE92675F4, (q31_t)0x820E56BE, (q31_t)0xE957ECFB, + (q31_t)0x82056758, (q31_t)0xE9896780, (q31_t)0x81FC8B60, + (q31_t)0xE9BAE57C, (q31_t)0x81F3C2D7, (q31_t)0xE9EC66E8, + (q31_t)0x81EB0DBD, (q31_t)0xEA1DEBBB, (q31_t)0x81E26C16, + (q31_t)0xEA4F73EE, (q31_t)0x81D9DDE1, (q31_t)0xEA80FF79, + (q31_t)0x81D16320, (q31_t)0xEAB28E55, (q31_t)0x81C8FBD5, + (q31_t)0xEAE4207A, (q31_t)0x81C0A801, (q31_t)0xEB15B5E0, + (q31_t)0x81B867A4, (q31_t)0xEB474E80, (q31_t)0x81B03AC1, + (q31_t)0xEB78EA52, (q31_t)0x81A82159, (q31_t)0xEBAA894E, + (q31_t)0x81A01B6C, (q31_t)0xEBDC2B6D, (q31_t)0x819828FD, + (q31_t)0xEC0DD0A8, (q31_t)0x81904A0C, (q31_t)0xEC3F78F5, + (q31_t)0x81887E9A, (q31_t)0xEC71244F, (q31_t)0x8180C6A9, + (q31_t)0xECA2D2AC, (q31_t)0x8179223A, (q31_t)0xECD48406, + (q31_t)0x8171914E, (q31_t)0xED063855, (q31_t)0x816A13E6, + (q31_t)0xED37EF91, (q31_t)0x8162AA03, (q31_t)0xED69A9B2, + (q31_t)0x815B53A8, (q31_t)0xED9B66B2, (q31_t)0x815410D3, + (q31_t)0xEDCD2687, (q31_t)0x814CE188, (q31_t)0xEDFEE92B, + (q31_t)0x8145C5C6, (q31_t)0xEE30AE95, (q31_t)0x813EBD90, + (q31_t)0xEE6276BF, (q31_t)0x8137C8E6, (q31_t)0xEE9441A0, + (q31_t)0x8130E7C8, (q31_t)0xEEC60F31, (q31_t)0x812A1A39, + (q31_t)0xEEF7DF6A, (q31_t)0x81236039, (q31_t)0xEF29B243, + (q31_t)0x811CB9CA, (q31_t)0xEF5B87B5, (q31_t)0x811626EC, + (q31_t)0xEF8D5FB8, (q31_t)0x810FA7A0, (q31_t)0xEFBF3A44, + (q31_t)0x81093BE8, (q31_t)0xEFF11752, (q31_t)0x8102E3C3, + (q31_t)0xF022F6DA, (q31_t)0x80FC9F35, (q31_t)0xF054D8D4, + (q31_t)0x80F66E3C, (q31_t)0xF086BD39, (q31_t)0x80F050DB, + (q31_t)0xF0B8A401, (q31_t)0x80EA4712, (q31_t)0xF0EA8D23, + (q31_t)0x80E450E2, (q31_t)0xF11C789A, (q31_t)0x80DE6E4C, + (q31_t)0xF14E665C, (q31_t)0x80D89F51, (q31_t)0xF1805662, + (q31_t)0x80D2E3F1, (q31_t)0xF1B248A5, (q31_t)0x80CD3C2F, + (q31_t)0xF1E43D1C, (q31_t)0x80C7A80A, (q31_t)0xF21633C0, + (q31_t)0x80C22783, (q31_t)0xF2482C89, (q31_t)0x80BCBA9C, + (q31_t)0xF27A2770, (q31_t)0x80B76155, (q31_t)0xF2AC246D, + (q31_t)0x80B21BAF, (q31_t)0xF2DE2378, (q31_t)0x80ACE9AB, + (q31_t)0xF310248A, (q31_t)0x80A7CB49, (q31_t)0xF342279A, + (q31_t)0x80A2C08B, (q31_t)0xF3742CA1, (q31_t)0x809DC970, + (q31_t)0xF3A63398, (q31_t)0x8098E5FB, (q31_t)0xF3D83C76, + (q31_t)0x8094162B, (q31_t)0xF40A4734, (q31_t)0x808F5A02, + (q31_t)0xF43C53CA, (q31_t)0x808AB180, (q31_t)0xF46E6231, + (q31_t)0x80861CA5, (q31_t)0xF4A07260, (q31_t)0x80819B74, + (q31_t)0xF4D28451, (q31_t)0x807D2DEB, (q31_t)0xF50497FA, + (q31_t)0x8078D40D, (q31_t)0xF536AD55, (q31_t)0x80748DD9, + (q31_t)0xF568C45A, (q31_t)0x80705B50, (q31_t)0xF59ADD01, + (q31_t)0x806C3C73, (q31_t)0xF5CCF743, (q31_t)0x80683143, + (q31_t)0xF5FF1317, (q31_t)0x806439C0, (q31_t)0xF6313076, + (q31_t)0x806055EA, (q31_t)0xF6634F58, (q31_t)0x805C85C3, + (q31_t)0xF6956FB6, (q31_t)0x8058C94C, (q31_t)0xF6C79188, + (q31_t)0x80552083, (q31_t)0xF6F9B4C5, (q31_t)0x80518B6B, + (q31_t)0xF72BD967, (q31_t)0x804E0A03, (q31_t)0xF75DFF65, + (q31_t)0x804A9C4D, (q31_t)0xF79026B8, (q31_t)0x80474248, + (q31_t)0xF7C24F58, (q31_t)0x8043FBF6, (q31_t)0xF7F4793E, + (q31_t)0x8040C956, (q31_t)0xF826A461, (q31_t)0x803DAA69, + (q31_t)0xF858D0BA, (q31_t)0x803A9F31, (q31_t)0xF88AFE41, + (q31_t)0x8037A7AC, (q31_t)0xF8BD2CEF, (q31_t)0x8034C3DC, + (q31_t)0xF8EF5CBB, (q31_t)0x8031F3C1, (q31_t)0xF9218D9E, + (q31_t)0x802F375C, (q31_t)0xF953BF90, (q31_t)0x802C8EAD, + (q31_t)0xF985F28A, (q31_t)0x8029F9B4, (q31_t)0xF9B82683, + (q31_t)0x80277872, (q31_t)0xF9EA5B75, (q31_t)0x80250AE7, + (q31_t)0xFA1C9156, (q31_t)0x8022B113, (q31_t)0xFA4EC820, + (q31_t)0x80206AF8, (q31_t)0xFA80FFCB, (q31_t)0x801E3894, + (q31_t)0xFAB3384F, (q31_t)0x801C19E9, (q31_t)0xFAE571A4, + (q31_t)0x801A0EF7, (q31_t)0xFB17ABC2, (q31_t)0x801817BF, + (q31_t)0xFB49E6A2, (q31_t)0x80163440, (q31_t)0xFB7C223C, + (q31_t)0x8014647A, (q31_t)0xFBAE5E89, (q31_t)0x8012A86F, + (q31_t)0xFBE09B80, (q31_t)0x8011001E, (q31_t)0xFC12D919, + (q31_t)0x800F6B88, (q31_t)0xFC45174E, (q31_t)0x800DEAAC, + (q31_t)0xFC775616, (q31_t)0x800C7D8C, (q31_t)0xFCA99569, + (q31_t)0x800B2427, (q31_t)0xFCDBD541, (q31_t)0x8009DE7D, + (q31_t)0xFD0E1594, (q31_t)0x8008AC90, (q31_t)0xFD40565B, + (q31_t)0x80078E5E, (q31_t)0xFD72978F, (q31_t)0x800683E8, + (q31_t)0xFDA4D928, (q31_t)0x80058D2E, (q31_t)0xFDD71B1E, + (q31_t)0x8004AA31, (q31_t)0xFE095D69, (q31_t)0x8003DAF0, + (q31_t)0xFE3BA001, (q31_t)0x80031F6C, (q31_t)0xFE6DE2E0, + (q31_t)0x800277A5, (q31_t)0xFEA025FC, (q31_t)0x8001E39B, + (q31_t)0xFED2694F, (q31_t)0x8001634D, (q31_t)0xFF04ACD0, + (q31_t)0x8000F6BD, (q31_t)0xFF36F078, (q31_t)0x80009DE9, + (q31_t)0xFF69343E, (q31_t)0x800058D3, (q31_t)0xFF9B781D, + (q31_t)0x8000277A, (q31_t)0xFFCDBC0A, (q31_t)0x800009DE +}; + + + +/* +* @brief q15 Twiddle factors Table +*/ + + +/** +* \par +* Example code for q15 Twiddle factors Generation:: +* \par +*
for(i = 0; i< 3N/4; i++)
+* {
+*    twiddleCoefq15[2*i]= cos(i * 2*PI/(float)N);
+*    twiddleCoefq15[2*i+1]= sin(i * 2*PI/(float)N);
+* } 
+* \par +* where N = 16 and PI = 3.14159265358979 +* \par +* Cos and Sin values are interleaved fashion +* \par +* Convert Floating point to q15(Fixed point 1.15): +* round(twiddleCoefq15(i) * pow(2, 15)) +* +*/ +const q15_t twiddleCoef_16_q15[24] = { + (q15_t)0x7FFF, (q15_t)0x0000, + (q15_t)0x7641, (q15_t)0x30FB, + (q15_t)0x5A82, (q15_t)0x5A82, + (q15_t)0x30FB, (q15_t)0x7641, + (q15_t)0x0000, (q15_t)0x7FFF, + (q15_t)0xCF04, (q15_t)0x7641, + (q15_t)0xA57D, (q15_t)0x5A82, + (q15_t)0x89BE, (q15_t)0x30FB, + (q15_t)0x8000, (q15_t)0x0000, + (q15_t)0x89BE, (q15_t)0xCF04, + (q15_t)0xA57D, (q15_t)0xA57D, + (q15_t)0xCF04, (q15_t)0x89BE +}; + +/** +* \par +* Example code for q15 Twiddle factors Generation:: +* \par +*
for(i = 0; i< 3N/4; i++)
+* {
+*    twiddleCoefq15[2*i]= cos(i * 2*PI/(float)N);
+*    twiddleCoefq15[2*i+1]= sin(i * 2*PI/(float)N);
+* } 
+* \par +* where N = 32 and PI = 3.14159265358979 +* \par +* Cos and Sin values are interleaved fashion +* \par +* Convert Floating point to q15(Fixed point 1.15): +* round(twiddleCoefq15(i) * pow(2, 15)) +* +*/ +const q15_t twiddleCoef_32_q15[48] = { + (q15_t)0x7FFF, (q15_t)0x0000, + (q15_t)0x7D8A, (q15_t)0x18F8, + (q15_t)0x7641, (q15_t)0x30FB, + (q15_t)0x6A6D, (q15_t)0x471C, + (q15_t)0x5A82, (q15_t)0x5A82, + (q15_t)0x471C, (q15_t)0x6A6D, + (q15_t)0x30FB, (q15_t)0x7641, + (q15_t)0x18F8, (q15_t)0x7D8A, + (q15_t)0x0000, (q15_t)0x7FFF, + (q15_t)0xE707, (q15_t)0x7D8A, + (q15_t)0xCF04, (q15_t)0x7641, + (q15_t)0xB8E3, (q15_t)0x6A6D, + (q15_t)0xA57D, (q15_t)0x5A82, + (q15_t)0x9592, (q15_t)0x471C, + (q15_t)0x89BE, (q15_t)0x30FB, + (q15_t)0x8275, (q15_t)0x18F8, + (q15_t)0x8000, (q15_t)0x0000, + (q15_t)0x8275, (q15_t)0xE707, + (q15_t)0x89BE, (q15_t)0xCF04, + (q15_t)0x9592, (q15_t)0xB8E3, + (q15_t)0xA57D, (q15_t)0xA57D, + (q15_t)0xB8E3, (q15_t)0x9592, + (q15_t)0xCF04, (q15_t)0x89BE, + (q15_t)0xE707, (q15_t)0x8275 +}; + +/** +* \par +* Example code for q15 Twiddle factors Generation:: +* \par +*
for(i = 0; i< 3N/4; i++)
+* {
+*    twiddleCoefq15[2*i]= cos(i * 2*PI/(float)N);
+*    twiddleCoefq15[2*i+1]= sin(i * 2*PI/(float)N);
+* } 
+* \par +* where N = 64 and PI = 3.14159265358979 +* \par +* Cos and Sin values are interleaved fashion +* \par +* Convert Floating point to q15(Fixed point 1.15): +* round(twiddleCoefq15(i) * pow(2, 15)) +* +*/ +const q15_t twiddleCoef_64_q15[96] = { + (q15_t)0x7FFF, (q15_t)0x0000, (q15_t)0x7F62, (q15_t)0x0C8B, + (q15_t)0x7D8A, (q15_t)0x18F8, (q15_t)0x7A7D, (q15_t)0x2528, + (q15_t)0x7641, (q15_t)0x30FB, (q15_t)0x70E2, (q15_t)0x3C56, + (q15_t)0x6A6D, (q15_t)0x471C, (q15_t)0x62F2, (q15_t)0x5133, + (q15_t)0x5A82, (q15_t)0x5A82, (q15_t)0x5133, (q15_t)0x62F2, + (q15_t)0x471C, (q15_t)0x6A6D, (q15_t)0x3C56, (q15_t)0x70E2, + (q15_t)0x30FB, (q15_t)0x7641, (q15_t)0x2528, (q15_t)0x7A7D, + (q15_t)0x18F8, (q15_t)0x7D8A, (q15_t)0x0C8B, (q15_t)0x7F62, + (q15_t)0x0000, (q15_t)0x7FFF, (q15_t)0xF374, (q15_t)0x7F62, + (q15_t)0xE707, (q15_t)0x7D8A, (q15_t)0xDAD7, (q15_t)0x7A7D, + (q15_t)0xCF04, (q15_t)0x7641, (q15_t)0xC3A9, (q15_t)0x70E2, + (q15_t)0xB8E3, (q15_t)0x6A6D, (q15_t)0xAECC, (q15_t)0x62F2, + (q15_t)0xA57D, (q15_t)0x5A82, (q15_t)0x9D0D, (q15_t)0x5133, + (q15_t)0x9592, (q15_t)0x471C, (q15_t)0x8F1D, (q15_t)0x3C56, + (q15_t)0x89BE, (q15_t)0x30FB, (q15_t)0x8582, (q15_t)0x2528, + (q15_t)0x8275, (q15_t)0x18F8, (q15_t)0x809D, (q15_t)0x0C8B, + (q15_t)0x8000, (q15_t)0x0000, (q15_t)0x809D, (q15_t)0xF374, + (q15_t)0x8275, (q15_t)0xE707, (q15_t)0x8582, (q15_t)0xDAD7, + (q15_t)0x89BE, (q15_t)0xCF04, (q15_t)0x8F1D, (q15_t)0xC3A9, + (q15_t)0x9592, (q15_t)0xB8E3, (q15_t)0x9D0D, (q15_t)0xAECC, + (q15_t)0xA57D, (q15_t)0xA57D, (q15_t)0xAECC, (q15_t)0x9D0D, + (q15_t)0xB8E3, (q15_t)0x9592, (q15_t)0xC3A9, (q15_t)0x8F1D, + (q15_t)0xCF04, (q15_t)0x89BE, (q15_t)0xDAD7, (q15_t)0x8582, + (q15_t)0xE707, (q15_t)0x8275, (q15_t)0xF374, (q15_t)0x809D +}; + +/** +* \par +* Example code for q15 Twiddle factors Generation:: +* \par +*
for(i = 0; i< 3N/4; i++)
+* {
+*    twiddleCoefq15[2*i]= cos(i * 2*PI/(float)N);
+*    twiddleCoefq15[2*i+1]= sin(i * 2*PI/(float)N);
+* } 
+* \par +* where N = 128 and PI = 3.14159265358979 +* \par +* Cos and Sin values are interleaved fashion +* \par +* Convert Floating point to q15(Fixed point 1.15): +* round(twiddleCoefq15(i) * pow(2, 15)) +* +*/ +const q15_t twiddleCoef_128_q15[192] = { + (q15_t)0x7FFF, (q15_t)0x0000, (q15_t)0x7FD8, (q15_t)0x0647, + (q15_t)0x7F62, (q15_t)0x0C8B, (q15_t)0x7E9D, (q15_t)0x12C8, + (q15_t)0x7D8A, (q15_t)0x18F8, (q15_t)0x7C29, (q15_t)0x1F19, + (q15_t)0x7A7D, (q15_t)0x2528, (q15_t)0x7884, (q15_t)0x2B1F, + (q15_t)0x7641, (q15_t)0x30FB, (q15_t)0x73B5, (q15_t)0x36BA, + (q15_t)0x70E2, (q15_t)0x3C56, (q15_t)0x6DCA, (q15_t)0x41CE, + (q15_t)0x6A6D, (q15_t)0x471C, (q15_t)0x66CF, (q15_t)0x4C3F, + (q15_t)0x62F2, (q15_t)0x5133, (q15_t)0x5ED7, (q15_t)0x55F5, + (q15_t)0x5A82, (q15_t)0x5A82, (q15_t)0x55F5, (q15_t)0x5ED7, + (q15_t)0x5133, (q15_t)0x62F2, (q15_t)0x4C3F, (q15_t)0x66CF, + (q15_t)0x471C, (q15_t)0x6A6D, (q15_t)0x41CE, (q15_t)0x6DCA, + (q15_t)0x3C56, (q15_t)0x70E2, (q15_t)0x36BA, (q15_t)0x73B5, + (q15_t)0x30FB, (q15_t)0x7641, (q15_t)0x2B1F, (q15_t)0x7884, + (q15_t)0x2528, (q15_t)0x7A7D, (q15_t)0x1F19, (q15_t)0x7C29, + (q15_t)0x18F8, (q15_t)0x7D8A, (q15_t)0x12C8, (q15_t)0x7E9D, + (q15_t)0x0C8B, (q15_t)0x7F62, (q15_t)0x0647, (q15_t)0x7FD8, + (q15_t)0x0000, (q15_t)0x7FFF, (q15_t)0xF9B8, (q15_t)0x7FD8, + (q15_t)0xF374, (q15_t)0x7F62, (q15_t)0xED37, (q15_t)0x7E9D, + (q15_t)0xE707, (q15_t)0x7D8A, (q15_t)0xE0E6, (q15_t)0x7C29, + (q15_t)0xDAD7, (q15_t)0x7A7D, (q15_t)0xD4E0, (q15_t)0x7884, + (q15_t)0xCF04, (q15_t)0x7641, (q15_t)0xC945, (q15_t)0x73B5, + (q15_t)0xC3A9, (q15_t)0x70E2, (q15_t)0xBE31, (q15_t)0x6DCA, + (q15_t)0xB8E3, (q15_t)0x6A6D, (q15_t)0xB3C0, (q15_t)0x66CF, + (q15_t)0xAECC, (q15_t)0x62F2, (q15_t)0xAA0A, (q15_t)0x5ED7, + (q15_t)0xA57D, (q15_t)0x5A82, (q15_t)0xA128, (q15_t)0x55F5, + (q15_t)0x9D0D, (q15_t)0x5133, (q15_t)0x9930, (q15_t)0x4C3F, + (q15_t)0x9592, (q15_t)0x471C, (q15_t)0x9235, (q15_t)0x41CE, + (q15_t)0x8F1D, (q15_t)0x3C56, (q15_t)0x8C4A, (q15_t)0x36BA, + (q15_t)0x89BE, (q15_t)0x30FB, (q15_t)0x877B, (q15_t)0x2B1F, + (q15_t)0x8582, (q15_t)0x2528, (q15_t)0x83D6, (q15_t)0x1F19, + (q15_t)0x8275, (q15_t)0x18F8, (q15_t)0x8162, (q15_t)0x12C8, + (q15_t)0x809D, (q15_t)0x0C8B, (q15_t)0x8027, (q15_t)0x0647, + (q15_t)0x8000, (q15_t)0x0000, (q15_t)0x8027, (q15_t)0xF9B8, + (q15_t)0x809D, (q15_t)0xF374, (q15_t)0x8162, (q15_t)0xED37, + (q15_t)0x8275, (q15_t)0xE707, (q15_t)0x83D6, (q15_t)0xE0E6, + (q15_t)0x8582, (q15_t)0xDAD7, (q15_t)0x877B, (q15_t)0xD4E0, + (q15_t)0x89BE, (q15_t)0xCF04, (q15_t)0x8C4A, (q15_t)0xC945, + (q15_t)0x8F1D, (q15_t)0xC3A9, (q15_t)0x9235, (q15_t)0xBE31, + (q15_t)0x9592, (q15_t)0xB8E3, (q15_t)0x9930, (q15_t)0xB3C0, + (q15_t)0x9D0D, (q15_t)0xAECC, (q15_t)0xA128, (q15_t)0xAA0A, + (q15_t)0xA57D, (q15_t)0xA57D, (q15_t)0xAA0A, (q15_t)0xA128, + (q15_t)0xAECC, (q15_t)0x9D0D, (q15_t)0xB3C0, (q15_t)0x9930, + (q15_t)0xB8E3, (q15_t)0x9592, (q15_t)0xBE31, (q15_t)0x9235, + (q15_t)0xC3A9, (q15_t)0x8F1D, (q15_t)0xC945, (q15_t)0x8C4A, + (q15_t)0xCF04, (q15_t)0x89BE, (q15_t)0xD4E0, (q15_t)0x877B, + (q15_t)0xDAD7, (q15_t)0x8582, (q15_t)0xE0E6, (q15_t)0x83D6, + (q15_t)0xE707, (q15_t)0x8275, (q15_t)0xED37, (q15_t)0x8162, + (q15_t)0xF374, (q15_t)0x809D, (q15_t)0xF9B8, (q15_t)0x8027 +}; + +/** +* \par +* Example code for q15 Twiddle factors Generation:: +* \par +*
for(i = 0; i< 3N/4; i++)
+* {
+*    twiddleCoefq15[2*i]= cos(i * 2*PI/(float)N);
+*    twiddleCoefq15[2*i+1]= sin(i * 2*PI/(float)N);
+* } 
+* \par +* where N = 256 and PI = 3.14159265358979 +* \par +* Cos and Sin values are interleaved fashion +* \par +* Convert Floating point to q15(Fixed point 1.15): +* round(twiddleCoefq15(i) * pow(2, 15)) +* +*/ +const q15_t twiddleCoef_256_q15[384] = { + (q15_t)0x7FFF, (q15_t)0x0000, (q15_t)0x7FF6, (q15_t)0x0324, + (q15_t)0x7FD8, (q15_t)0x0647, (q15_t)0x7FA7, (q15_t)0x096A, + (q15_t)0x7F62, (q15_t)0x0C8B, (q15_t)0x7F09, (q15_t)0x0FAB, + (q15_t)0x7E9D, (q15_t)0x12C8, (q15_t)0x7E1D, (q15_t)0x15E2, + (q15_t)0x7D8A, (q15_t)0x18F8, (q15_t)0x7CE3, (q15_t)0x1C0B, + (q15_t)0x7C29, (q15_t)0x1F19, (q15_t)0x7B5D, (q15_t)0x2223, + (q15_t)0x7A7D, (q15_t)0x2528, (q15_t)0x798A, (q15_t)0x2826, + (q15_t)0x7884, (q15_t)0x2B1F, (q15_t)0x776C, (q15_t)0x2E11, + (q15_t)0x7641, (q15_t)0x30FB, (q15_t)0x7504, (q15_t)0x33DE, + (q15_t)0x73B5, (q15_t)0x36BA, (q15_t)0x7255, (q15_t)0x398C, + (q15_t)0x70E2, (q15_t)0x3C56, (q15_t)0x6F5F, (q15_t)0x3F17, + (q15_t)0x6DCA, (q15_t)0x41CE, (q15_t)0x6C24, (q15_t)0x447A, + (q15_t)0x6A6D, (q15_t)0x471C, (q15_t)0x68A6, (q15_t)0x49B4, + (q15_t)0x66CF, (q15_t)0x4C3F, (q15_t)0x64E8, (q15_t)0x4EBF, + (q15_t)0x62F2, (q15_t)0x5133, (q15_t)0x60EC, (q15_t)0x539B, + (q15_t)0x5ED7, (q15_t)0x55F5, (q15_t)0x5CB4, (q15_t)0x5842, + (q15_t)0x5A82, (q15_t)0x5A82, (q15_t)0x5842, (q15_t)0x5CB4, + (q15_t)0x55F5, (q15_t)0x5ED7, (q15_t)0x539B, (q15_t)0x60EC, + (q15_t)0x5133, (q15_t)0x62F2, (q15_t)0x4EBF, (q15_t)0x64E8, + (q15_t)0x4C3F, (q15_t)0x66CF, (q15_t)0x49B4, (q15_t)0x68A6, + (q15_t)0x471C, (q15_t)0x6A6D, (q15_t)0x447A, (q15_t)0x6C24, + (q15_t)0x41CE, (q15_t)0x6DCA, (q15_t)0x3F17, (q15_t)0x6F5F, + (q15_t)0x3C56, (q15_t)0x70E2, (q15_t)0x398C, (q15_t)0x7255, + (q15_t)0x36BA, (q15_t)0x73B5, (q15_t)0x33DE, (q15_t)0x7504, + (q15_t)0x30FB, (q15_t)0x7641, (q15_t)0x2E11, (q15_t)0x776C, + (q15_t)0x2B1F, (q15_t)0x7884, (q15_t)0x2826, (q15_t)0x798A, + (q15_t)0x2528, (q15_t)0x7A7D, (q15_t)0x2223, (q15_t)0x7B5D, + (q15_t)0x1F19, (q15_t)0x7C29, (q15_t)0x1C0B, (q15_t)0x7CE3, + (q15_t)0x18F8, (q15_t)0x7D8A, (q15_t)0x15E2, (q15_t)0x7E1D, + (q15_t)0x12C8, (q15_t)0x7E9D, (q15_t)0x0FAB, (q15_t)0x7F09, + (q15_t)0x0C8B, (q15_t)0x7F62, (q15_t)0x096A, (q15_t)0x7FA7, + (q15_t)0x0647, (q15_t)0x7FD8, (q15_t)0x0324, (q15_t)0x7FF6, + (q15_t)0x0000, (q15_t)0x7FFF, (q15_t)0xFCDB, (q15_t)0x7FF6, + (q15_t)0xF9B8, (q15_t)0x7FD8, (q15_t)0xF695, (q15_t)0x7FA7, + (q15_t)0xF374, (q15_t)0x7F62, (q15_t)0xF054, (q15_t)0x7F09, + (q15_t)0xED37, (q15_t)0x7E9D, (q15_t)0xEA1D, (q15_t)0x7E1D, + (q15_t)0xE707, (q15_t)0x7D8A, (q15_t)0xE3F4, (q15_t)0x7CE3, + (q15_t)0xE0E6, (q15_t)0x7C29, (q15_t)0xDDDC, (q15_t)0x7B5D, + (q15_t)0xDAD7, (q15_t)0x7A7D, (q15_t)0xD7D9, (q15_t)0x798A, + (q15_t)0xD4E0, (q15_t)0x7884, (q15_t)0xD1EE, (q15_t)0x776C, + (q15_t)0xCF04, (q15_t)0x7641, (q15_t)0xCC21, (q15_t)0x7504, + (q15_t)0xC945, (q15_t)0x73B5, (q15_t)0xC673, (q15_t)0x7255, + (q15_t)0xC3A9, (q15_t)0x70E2, (q15_t)0xC0E8, (q15_t)0x6F5F, + (q15_t)0xBE31, (q15_t)0x6DCA, (q15_t)0xBB85, (q15_t)0x6C24, + (q15_t)0xB8E3, (q15_t)0x6A6D, (q15_t)0xB64B, (q15_t)0x68A6, + (q15_t)0xB3C0, (q15_t)0x66CF, (q15_t)0xB140, (q15_t)0x64E8, + (q15_t)0xAECC, (q15_t)0x62F2, (q15_t)0xAC64, (q15_t)0x60EC, + (q15_t)0xAA0A, (q15_t)0x5ED7, (q15_t)0xA7BD, (q15_t)0x5CB4, + (q15_t)0xA57D, (q15_t)0x5A82, (q15_t)0xA34B, (q15_t)0x5842, + (q15_t)0xA128, (q15_t)0x55F5, (q15_t)0x9F13, (q15_t)0x539B, + (q15_t)0x9D0D, (q15_t)0x5133, (q15_t)0x9B17, (q15_t)0x4EBF, + (q15_t)0x9930, (q15_t)0x4C3F, (q15_t)0x9759, (q15_t)0x49B4, + (q15_t)0x9592, (q15_t)0x471C, (q15_t)0x93DB, (q15_t)0x447A, + (q15_t)0x9235, (q15_t)0x41CE, (q15_t)0x90A0, (q15_t)0x3F17, + (q15_t)0x8F1D, (q15_t)0x3C56, (q15_t)0x8DAA, (q15_t)0x398C, + (q15_t)0x8C4A, (q15_t)0x36BA, (q15_t)0x8AFB, (q15_t)0x33DE, + (q15_t)0x89BE, (q15_t)0x30FB, (q15_t)0x8893, (q15_t)0x2E11, + (q15_t)0x877B, (q15_t)0x2B1F, (q15_t)0x8675, (q15_t)0x2826, + (q15_t)0x8582, (q15_t)0x2528, (q15_t)0x84A2, (q15_t)0x2223, + (q15_t)0x83D6, (q15_t)0x1F19, (q15_t)0x831C, (q15_t)0x1C0B, + (q15_t)0x8275, (q15_t)0x18F8, (q15_t)0x81E2, (q15_t)0x15E2, + (q15_t)0x8162, (q15_t)0x12C8, (q15_t)0x80F6, (q15_t)0x0FAB, + (q15_t)0x809D, (q15_t)0x0C8B, (q15_t)0x8058, (q15_t)0x096A, + (q15_t)0x8027, (q15_t)0x0647, (q15_t)0x8009, (q15_t)0x0324, + (q15_t)0x8000, (q15_t)0x0000, (q15_t)0x8009, (q15_t)0xFCDB, + (q15_t)0x8027, (q15_t)0xF9B8, (q15_t)0x8058, (q15_t)0xF695, + (q15_t)0x809D, (q15_t)0xF374, (q15_t)0x80F6, (q15_t)0xF054, + (q15_t)0x8162, (q15_t)0xED37, (q15_t)0x81E2, (q15_t)0xEA1D, + (q15_t)0x8275, (q15_t)0xE707, (q15_t)0x831C, (q15_t)0xE3F4, + (q15_t)0x83D6, (q15_t)0xE0E6, (q15_t)0x84A2, (q15_t)0xDDDC, + (q15_t)0x8582, (q15_t)0xDAD7, (q15_t)0x8675, (q15_t)0xD7D9, + (q15_t)0x877B, (q15_t)0xD4E0, (q15_t)0x8893, (q15_t)0xD1EE, + (q15_t)0x89BE, (q15_t)0xCF04, (q15_t)0x8AFB, (q15_t)0xCC21, + (q15_t)0x8C4A, (q15_t)0xC945, (q15_t)0x8DAA, (q15_t)0xC673, + (q15_t)0x8F1D, (q15_t)0xC3A9, (q15_t)0x90A0, (q15_t)0xC0E8, + (q15_t)0x9235, (q15_t)0xBE31, (q15_t)0x93DB, (q15_t)0xBB85, + (q15_t)0x9592, (q15_t)0xB8E3, (q15_t)0x9759, (q15_t)0xB64B, + (q15_t)0x9930, (q15_t)0xB3C0, (q15_t)0x9B17, (q15_t)0xB140, + (q15_t)0x9D0D, (q15_t)0xAECC, (q15_t)0x9F13, (q15_t)0xAC64, + (q15_t)0xA128, (q15_t)0xAA0A, (q15_t)0xA34B, (q15_t)0xA7BD, + (q15_t)0xA57D, (q15_t)0xA57D, (q15_t)0xA7BD, (q15_t)0xA34B, + (q15_t)0xAA0A, (q15_t)0xA128, (q15_t)0xAC64, (q15_t)0x9F13, + (q15_t)0xAECC, (q15_t)0x9D0D, (q15_t)0xB140, (q15_t)0x9B17, + (q15_t)0xB3C0, (q15_t)0x9930, (q15_t)0xB64B, (q15_t)0x9759, + (q15_t)0xB8E3, (q15_t)0x9592, (q15_t)0xBB85, (q15_t)0x93DB, + (q15_t)0xBE31, (q15_t)0x9235, (q15_t)0xC0E8, (q15_t)0x90A0, + (q15_t)0xC3A9, (q15_t)0x8F1D, (q15_t)0xC673, (q15_t)0x8DAA, + (q15_t)0xC945, (q15_t)0x8C4A, (q15_t)0xCC21, (q15_t)0x8AFB, + (q15_t)0xCF04, (q15_t)0x89BE, (q15_t)0xD1EE, (q15_t)0x8893, + (q15_t)0xD4E0, (q15_t)0x877B, (q15_t)0xD7D9, (q15_t)0x8675, + (q15_t)0xDAD7, (q15_t)0x8582, (q15_t)0xDDDC, (q15_t)0x84A2, + (q15_t)0xE0E6, (q15_t)0x83D6, (q15_t)0xE3F4, (q15_t)0x831C, + (q15_t)0xE707, (q15_t)0x8275, (q15_t)0xEA1D, (q15_t)0x81E2, + (q15_t)0xED37, (q15_t)0x8162, (q15_t)0xF054, (q15_t)0x80F6, + (q15_t)0xF374, (q15_t)0x809D, (q15_t)0xF695, (q15_t)0x8058, + (q15_t)0xF9B8, (q15_t)0x8027, (q15_t)0xFCDB, (q15_t)0x8009 +}; + +/** +* \par +* Example code for q15 Twiddle factors Generation:: +* \par +*
for(i = 0; i< 3N/4; i++)
+* {
+*    twiddleCoefq15[2*i]= cos(i * 2*PI/(float)N);
+*    twiddleCoefq15[2*i+1]= sin(i * 2*PI/(float)N);
+* } 
+* \par +* where N = 512 and PI = 3.14159265358979 +* \par +* Cos and Sin values are interleaved fashion +* \par +* Convert Floating point to q15(Fixed point 1.15): +* round(twiddleCoefq15(i) * pow(2, 15)) +* +*/ +const q15_t twiddleCoef_512_q15[768] = { + (q15_t)0x7FFF, (q15_t)0x0000, (q15_t)0x7FFD, (q15_t)0x0192, + (q15_t)0x7FF6, (q15_t)0x0324, (q15_t)0x7FE9, (q15_t)0x04B6, + (q15_t)0x7FD8, (q15_t)0x0647, (q15_t)0x7FC2, (q15_t)0x07D9, + (q15_t)0x7FA7, (q15_t)0x096A, (q15_t)0x7F87, (q15_t)0x0AFB, + (q15_t)0x7F62, (q15_t)0x0C8B, (q15_t)0x7F38, (q15_t)0x0E1B, + (q15_t)0x7F09, (q15_t)0x0FAB, (q15_t)0x7ED5, (q15_t)0x1139, + (q15_t)0x7E9D, (q15_t)0x12C8, (q15_t)0x7E5F, (q15_t)0x1455, + (q15_t)0x7E1D, (q15_t)0x15E2, (q15_t)0x7DD6, (q15_t)0x176D, + (q15_t)0x7D8A, (q15_t)0x18F8, (q15_t)0x7D39, (q15_t)0x1A82, + (q15_t)0x7CE3, (q15_t)0x1C0B, (q15_t)0x7C89, (q15_t)0x1D93, + (q15_t)0x7C29, (q15_t)0x1F19, (q15_t)0x7BC5, (q15_t)0x209F, + (q15_t)0x7B5D, (q15_t)0x2223, (q15_t)0x7AEF, (q15_t)0x23A6, + (q15_t)0x7A7D, (q15_t)0x2528, (q15_t)0x7A05, (q15_t)0x26A8, + (q15_t)0x798A, (q15_t)0x2826, (q15_t)0x7909, (q15_t)0x29A3, + (q15_t)0x7884, (q15_t)0x2B1F, (q15_t)0x77FA, (q15_t)0x2C98, + (q15_t)0x776C, (q15_t)0x2E11, (q15_t)0x76D9, (q15_t)0x2F87, + (q15_t)0x7641, (q15_t)0x30FB, (q15_t)0x75A5, (q15_t)0x326E, + (q15_t)0x7504, (q15_t)0x33DE, (q15_t)0x745F, (q15_t)0x354D, + (q15_t)0x73B5, (q15_t)0x36BA, (q15_t)0x7307, (q15_t)0x3824, + (q15_t)0x7255, (q15_t)0x398C, (q15_t)0x719E, (q15_t)0x3AF2, + (q15_t)0x70E2, (q15_t)0x3C56, (q15_t)0x7023, (q15_t)0x3DB8, + (q15_t)0x6F5F, (q15_t)0x3F17, (q15_t)0x6E96, (q15_t)0x4073, + (q15_t)0x6DCA, (q15_t)0x41CE, (q15_t)0x6CF9, (q15_t)0x4325, + (q15_t)0x6C24, (q15_t)0x447A, (q15_t)0x6B4A, (q15_t)0x45CD, + (q15_t)0x6A6D, (q15_t)0x471C, (q15_t)0x698C, (q15_t)0x4869, + (q15_t)0x68A6, (q15_t)0x49B4, (q15_t)0x67BD, (q15_t)0x4AFB, + (q15_t)0x66CF, (q15_t)0x4C3F, (q15_t)0x65DD, (q15_t)0x4D81, + (q15_t)0x64E8, (q15_t)0x4EBF, (q15_t)0x63EF, (q15_t)0x4FFB, + (q15_t)0x62F2, (q15_t)0x5133, (q15_t)0x61F1, (q15_t)0x5269, + (q15_t)0x60EC, (q15_t)0x539B, (q15_t)0x5FE3, (q15_t)0x54CA, + (q15_t)0x5ED7, (q15_t)0x55F5, (q15_t)0x5DC7, (q15_t)0x571D, + (q15_t)0x5CB4, (q15_t)0x5842, (q15_t)0x5B9D, (q15_t)0x5964, + (q15_t)0x5A82, (q15_t)0x5A82, (q15_t)0x5964, (q15_t)0x5B9D, + (q15_t)0x5842, (q15_t)0x5CB4, (q15_t)0x571D, (q15_t)0x5DC7, + (q15_t)0x55F5, (q15_t)0x5ED7, (q15_t)0x54CA, (q15_t)0x5FE3, + (q15_t)0x539B, (q15_t)0x60EC, (q15_t)0x5269, (q15_t)0x61F1, + (q15_t)0x5133, (q15_t)0x62F2, (q15_t)0x4FFB, (q15_t)0x63EF, + (q15_t)0x4EBF, (q15_t)0x64E8, (q15_t)0x4D81, (q15_t)0x65DD, + (q15_t)0x4C3F, (q15_t)0x66CF, (q15_t)0x4AFB, (q15_t)0x67BD, + (q15_t)0x49B4, (q15_t)0x68A6, (q15_t)0x4869, (q15_t)0x698C, + (q15_t)0x471C, (q15_t)0x6A6D, (q15_t)0x45CD, (q15_t)0x6B4A, + (q15_t)0x447A, (q15_t)0x6C24, (q15_t)0x4325, (q15_t)0x6CF9, + (q15_t)0x41CE, (q15_t)0x6DCA, (q15_t)0x4073, (q15_t)0x6E96, + (q15_t)0x3F17, (q15_t)0x6F5F, (q15_t)0x3DB8, (q15_t)0x7023, + (q15_t)0x3C56, (q15_t)0x70E2, (q15_t)0x3AF2, (q15_t)0x719E, + (q15_t)0x398C, (q15_t)0x7255, (q15_t)0x3824, (q15_t)0x7307, + (q15_t)0x36BA, (q15_t)0x73B5, (q15_t)0x354D, (q15_t)0x745F, + (q15_t)0x33DE, (q15_t)0x7504, (q15_t)0x326E, (q15_t)0x75A5, + (q15_t)0x30FB, (q15_t)0x7641, (q15_t)0x2F87, (q15_t)0x76D9, + (q15_t)0x2E11, (q15_t)0x776C, (q15_t)0x2C98, (q15_t)0x77FA, + (q15_t)0x2B1F, (q15_t)0x7884, (q15_t)0x29A3, (q15_t)0x7909, + (q15_t)0x2826, (q15_t)0x798A, (q15_t)0x26A8, (q15_t)0x7A05, + (q15_t)0x2528, (q15_t)0x7A7D, (q15_t)0x23A6, (q15_t)0x7AEF, + (q15_t)0x2223, (q15_t)0x7B5D, (q15_t)0x209F, (q15_t)0x7BC5, + (q15_t)0x1F19, (q15_t)0x7C29, (q15_t)0x1D93, (q15_t)0x7C89, + (q15_t)0x1C0B, (q15_t)0x7CE3, (q15_t)0x1A82, (q15_t)0x7D39, + (q15_t)0x18F8, (q15_t)0x7D8A, (q15_t)0x176D, (q15_t)0x7DD6, + (q15_t)0x15E2, (q15_t)0x7E1D, (q15_t)0x1455, (q15_t)0x7E5F, + (q15_t)0x12C8, (q15_t)0x7E9D, (q15_t)0x1139, (q15_t)0x7ED5, + (q15_t)0x0FAB, (q15_t)0x7F09, (q15_t)0x0E1B, (q15_t)0x7F38, + (q15_t)0x0C8B, (q15_t)0x7F62, (q15_t)0x0AFB, (q15_t)0x7F87, + (q15_t)0x096A, (q15_t)0x7FA7, (q15_t)0x07D9, (q15_t)0x7FC2, + (q15_t)0x0647, (q15_t)0x7FD8, (q15_t)0x04B6, (q15_t)0x7FE9, + (q15_t)0x0324, (q15_t)0x7FF6, (q15_t)0x0192, (q15_t)0x7FFD, + (q15_t)0x0000, (q15_t)0x7FFF, (q15_t)0xFE6D, (q15_t)0x7FFD, + (q15_t)0xFCDB, (q15_t)0x7FF6, (q15_t)0xFB49, (q15_t)0x7FE9, + (q15_t)0xF9B8, (q15_t)0x7FD8, (q15_t)0xF826, (q15_t)0x7FC2, + (q15_t)0xF695, (q15_t)0x7FA7, (q15_t)0xF504, (q15_t)0x7F87, + (q15_t)0xF374, (q15_t)0x7F62, (q15_t)0xF1E4, (q15_t)0x7F38, + (q15_t)0xF054, (q15_t)0x7F09, (q15_t)0xEEC6, (q15_t)0x7ED5, + (q15_t)0xED37, (q15_t)0x7E9D, (q15_t)0xEBAA, (q15_t)0x7E5F, + (q15_t)0xEA1D, (q15_t)0x7E1D, (q15_t)0xE892, (q15_t)0x7DD6, + (q15_t)0xE707, (q15_t)0x7D8A, (q15_t)0xE57D, (q15_t)0x7D39, + (q15_t)0xE3F4, (q15_t)0x7CE3, (q15_t)0xE26C, (q15_t)0x7C89, + (q15_t)0xE0E6, (q15_t)0x7C29, (q15_t)0xDF60, (q15_t)0x7BC5, + (q15_t)0xDDDC, (q15_t)0x7B5D, (q15_t)0xDC59, (q15_t)0x7AEF, + (q15_t)0xDAD7, (q15_t)0x7A7D, (q15_t)0xD957, (q15_t)0x7A05, + (q15_t)0xD7D9, (q15_t)0x798A, (q15_t)0xD65C, (q15_t)0x7909, + (q15_t)0xD4E0, (q15_t)0x7884, (q15_t)0xD367, (q15_t)0x77FA, + (q15_t)0xD1EE, (q15_t)0x776C, (q15_t)0xD078, (q15_t)0x76D9, + (q15_t)0xCF04, (q15_t)0x7641, (q15_t)0xCD91, (q15_t)0x75A5, + (q15_t)0xCC21, (q15_t)0x7504, (q15_t)0xCAB2, (q15_t)0x745F, + (q15_t)0xC945, (q15_t)0x73B5, (q15_t)0xC7DB, (q15_t)0x7307, + (q15_t)0xC673, (q15_t)0x7255, (q15_t)0xC50D, (q15_t)0x719E, + (q15_t)0xC3A9, (q15_t)0x70E2, (q15_t)0xC247, (q15_t)0x7023, + (q15_t)0xC0E8, (q15_t)0x6F5F, (q15_t)0xBF8C, (q15_t)0x6E96, + (q15_t)0xBE31, (q15_t)0x6DCA, (q15_t)0xBCDA, (q15_t)0x6CF9, + (q15_t)0xBB85, (q15_t)0x6C24, (q15_t)0xBA32, (q15_t)0x6B4A, + (q15_t)0xB8E3, (q15_t)0x6A6D, (q15_t)0xB796, (q15_t)0x698C, + (q15_t)0xB64B, (q15_t)0x68A6, (q15_t)0xB504, (q15_t)0x67BD, + (q15_t)0xB3C0, (q15_t)0x66CF, (q15_t)0xB27E, (q15_t)0x65DD, + (q15_t)0xB140, (q15_t)0x64E8, (q15_t)0xB004, (q15_t)0x63EF, + (q15_t)0xAECC, (q15_t)0x62F2, (q15_t)0xAD96, (q15_t)0x61F1, + (q15_t)0xAC64, (q15_t)0x60EC, (q15_t)0xAB35, (q15_t)0x5FE3, + (q15_t)0xAA0A, (q15_t)0x5ED7, (q15_t)0xA8E2, (q15_t)0x5DC7, + (q15_t)0xA7BD, (q15_t)0x5CB4, (q15_t)0xA69B, (q15_t)0x5B9D, + (q15_t)0xA57D, (q15_t)0x5A82, (q15_t)0xA462, (q15_t)0x5964, + (q15_t)0xA34B, (q15_t)0x5842, (q15_t)0xA238, (q15_t)0x571D, + (q15_t)0xA128, (q15_t)0x55F5, (q15_t)0xA01C, (q15_t)0x54CA, + (q15_t)0x9F13, (q15_t)0x539B, (q15_t)0x9E0E, (q15_t)0x5269, + (q15_t)0x9D0D, (q15_t)0x5133, (q15_t)0x9C10, (q15_t)0x4FFB, + (q15_t)0x9B17, (q15_t)0x4EBF, (q15_t)0x9A22, (q15_t)0x4D81, + (q15_t)0x9930, (q15_t)0x4C3F, (q15_t)0x9842, (q15_t)0x4AFB, + (q15_t)0x9759, (q15_t)0x49B4, (q15_t)0x9673, (q15_t)0x4869, + (q15_t)0x9592, (q15_t)0x471C, (q15_t)0x94B5, (q15_t)0x45CD, + (q15_t)0x93DB, (q15_t)0x447A, (q15_t)0x9306, (q15_t)0x4325, + (q15_t)0x9235, (q15_t)0x41CE, (q15_t)0x9169, (q15_t)0x4073, + (q15_t)0x90A0, (q15_t)0x3F17, (q15_t)0x8FDC, (q15_t)0x3DB8, + (q15_t)0x8F1D, (q15_t)0x3C56, (q15_t)0x8E61, (q15_t)0x3AF2, + (q15_t)0x8DAA, (q15_t)0x398C, (q15_t)0x8CF8, (q15_t)0x3824, + (q15_t)0x8C4A, (q15_t)0x36BA, (q15_t)0x8BA0, (q15_t)0x354D, + (q15_t)0x8AFB, (q15_t)0x33DE, (q15_t)0x8A5A, (q15_t)0x326E, + (q15_t)0x89BE, (q15_t)0x30FB, (q15_t)0x8926, (q15_t)0x2F87, + (q15_t)0x8893, (q15_t)0x2E11, (q15_t)0x8805, (q15_t)0x2C98, + (q15_t)0x877B, (q15_t)0x2B1F, (q15_t)0x86F6, (q15_t)0x29A3, + (q15_t)0x8675, (q15_t)0x2826, (q15_t)0x85FA, (q15_t)0x26A8, + (q15_t)0x8582, (q15_t)0x2528, (q15_t)0x8510, (q15_t)0x23A6, + (q15_t)0x84A2, (q15_t)0x2223, (q15_t)0x843A, (q15_t)0x209F, + (q15_t)0x83D6, (q15_t)0x1F19, (q15_t)0x8376, (q15_t)0x1D93, + (q15_t)0x831C, (q15_t)0x1C0B, (q15_t)0x82C6, (q15_t)0x1A82, + (q15_t)0x8275, (q15_t)0x18F8, (q15_t)0x8229, (q15_t)0x176D, + (q15_t)0x81E2, (q15_t)0x15E2, (q15_t)0x81A0, (q15_t)0x1455, + (q15_t)0x8162, (q15_t)0x12C8, (q15_t)0x812A, (q15_t)0x1139, + (q15_t)0x80F6, (q15_t)0x0FAB, (q15_t)0x80C7, (q15_t)0x0E1B, + (q15_t)0x809D, (q15_t)0x0C8B, (q15_t)0x8078, (q15_t)0x0AFB, + (q15_t)0x8058, (q15_t)0x096A, (q15_t)0x803D, (q15_t)0x07D9, + (q15_t)0x8027, (q15_t)0x0647, (q15_t)0x8016, (q15_t)0x04B6, + (q15_t)0x8009, (q15_t)0x0324, (q15_t)0x8002, (q15_t)0x0192, + (q15_t)0x8000, (q15_t)0x0000, (q15_t)0x8002, (q15_t)0xFE6D, + (q15_t)0x8009, (q15_t)0xFCDB, (q15_t)0x8016, (q15_t)0xFB49, + (q15_t)0x8027, (q15_t)0xF9B8, (q15_t)0x803D, (q15_t)0xF826, + (q15_t)0x8058, (q15_t)0xF695, (q15_t)0x8078, (q15_t)0xF504, + (q15_t)0x809D, (q15_t)0xF374, (q15_t)0x80C7, (q15_t)0xF1E4, + (q15_t)0x80F6, (q15_t)0xF054, (q15_t)0x812A, (q15_t)0xEEC6, + (q15_t)0x8162, (q15_t)0xED37, (q15_t)0x81A0, (q15_t)0xEBAA, + (q15_t)0x81E2, (q15_t)0xEA1D, (q15_t)0x8229, (q15_t)0xE892, + (q15_t)0x8275, (q15_t)0xE707, (q15_t)0x82C6, (q15_t)0xE57D, + (q15_t)0x831C, (q15_t)0xE3F4, (q15_t)0x8376, (q15_t)0xE26C, + (q15_t)0x83D6, (q15_t)0xE0E6, (q15_t)0x843A, (q15_t)0xDF60, + (q15_t)0x84A2, (q15_t)0xDDDC, (q15_t)0x8510, (q15_t)0xDC59, + (q15_t)0x8582, (q15_t)0xDAD7, (q15_t)0x85FA, (q15_t)0xD957, + (q15_t)0x8675, (q15_t)0xD7D9, (q15_t)0x86F6, (q15_t)0xD65C, + (q15_t)0x877B, (q15_t)0xD4E0, (q15_t)0x8805, (q15_t)0xD367, + (q15_t)0x8893, (q15_t)0xD1EE, (q15_t)0x8926, (q15_t)0xD078, + (q15_t)0x89BE, (q15_t)0xCF04, (q15_t)0x8A5A, (q15_t)0xCD91, + (q15_t)0x8AFB, (q15_t)0xCC21, (q15_t)0x8BA0, (q15_t)0xCAB2, + (q15_t)0x8C4A, (q15_t)0xC945, (q15_t)0x8CF8, (q15_t)0xC7DB, + (q15_t)0x8DAA, (q15_t)0xC673, (q15_t)0x8E61, (q15_t)0xC50D, + (q15_t)0x8F1D, (q15_t)0xC3A9, (q15_t)0x8FDC, (q15_t)0xC247, + (q15_t)0x90A0, (q15_t)0xC0E8, (q15_t)0x9169, (q15_t)0xBF8C, + (q15_t)0x9235, (q15_t)0xBE31, (q15_t)0x9306, (q15_t)0xBCDA, + (q15_t)0x93DB, (q15_t)0xBB85, (q15_t)0x94B5, (q15_t)0xBA32, + (q15_t)0x9592, (q15_t)0xB8E3, (q15_t)0x9673, (q15_t)0xB796, + (q15_t)0x9759, (q15_t)0xB64B, (q15_t)0x9842, (q15_t)0xB504, + (q15_t)0x9930, (q15_t)0xB3C0, (q15_t)0x9A22, (q15_t)0xB27E, + (q15_t)0x9B17, (q15_t)0xB140, (q15_t)0x9C10, (q15_t)0xB004, + (q15_t)0x9D0D, (q15_t)0xAECC, (q15_t)0x9E0E, (q15_t)0xAD96, + (q15_t)0x9F13, (q15_t)0xAC64, (q15_t)0xA01C, (q15_t)0xAB35, + (q15_t)0xA128, (q15_t)0xAA0A, (q15_t)0xA238, (q15_t)0xA8E2, + (q15_t)0xA34B, (q15_t)0xA7BD, (q15_t)0xA462, (q15_t)0xA69B, + (q15_t)0xA57D, (q15_t)0xA57D, (q15_t)0xA69B, (q15_t)0xA462, + (q15_t)0xA7BD, (q15_t)0xA34B, (q15_t)0xA8E2, (q15_t)0xA238, + (q15_t)0xAA0A, (q15_t)0xA128, (q15_t)0xAB35, (q15_t)0xA01C, + (q15_t)0xAC64, (q15_t)0x9F13, (q15_t)0xAD96, (q15_t)0x9E0E, + (q15_t)0xAECC, (q15_t)0x9D0D, (q15_t)0xB004, (q15_t)0x9C10, + (q15_t)0xB140, (q15_t)0x9B17, (q15_t)0xB27E, (q15_t)0x9A22, + (q15_t)0xB3C0, (q15_t)0x9930, (q15_t)0xB504, (q15_t)0x9842, + (q15_t)0xB64B, (q15_t)0x9759, (q15_t)0xB796, (q15_t)0x9673, + (q15_t)0xB8E3, (q15_t)0x9592, (q15_t)0xBA32, (q15_t)0x94B5, + (q15_t)0xBB85, (q15_t)0x93DB, (q15_t)0xBCDA, (q15_t)0x9306, + (q15_t)0xBE31, (q15_t)0x9235, (q15_t)0xBF8C, (q15_t)0x9169, + (q15_t)0xC0E8, (q15_t)0x90A0, (q15_t)0xC247, (q15_t)0x8FDC, + (q15_t)0xC3A9, (q15_t)0x8F1D, (q15_t)0xC50D, (q15_t)0x8E61, + (q15_t)0xC673, (q15_t)0x8DAA, (q15_t)0xC7DB, (q15_t)0x8CF8, + (q15_t)0xC945, (q15_t)0x8C4A, (q15_t)0xCAB2, (q15_t)0x8BA0, + (q15_t)0xCC21, (q15_t)0x8AFB, (q15_t)0xCD91, (q15_t)0x8A5A, + (q15_t)0xCF04, (q15_t)0x89BE, (q15_t)0xD078, (q15_t)0x8926, + (q15_t)0xD1EE, (q15_t)0x8893, (q15_t)0xD367, (q15_t)0x8805, + (q15_t)0xD4E0, (q15_t)0x877B, (q15_t)0xD65C, (q15_t)0x86F6, + (q15_t)0xD7D9, (q15_t)0x8675, (q15_t)0xD957, (q15_t)0x85FA, + (q15_t)0xDAD7, (q15_t)0x8582, (q15_t)0xDC59, (q15_t)0x8510, + (q15_t)0xDDDC, (q15_t)0x84A2, (q15_t)0xDF60, (q15_t)0x843A, + (q15_t)0xE0E6, (q15_t)0x83D6, (q15_t)0xE26C, (q15_t)0x8376, + (q15_t)0xE3F4, (q15_t)0x831C, (q15_t)0xE57D, (q15_t)0x82C6, + (q15_t)0xE707, (q15_t)0x8275, (q15_t)0xE892, (q15_t)0x8229, + (q15_t)0xEA1D, (q15_t)0x81E2, (q15_t)0xEBAA, (q15_t)0x81A0, + (q15_t)0xED37, (q15_t)0x8162, (q15_t)0xEEC6, (q15_t)0x812A, + (q15_t)0xF054, (q15_t)0x80F6, (q15_t)0xF1E4, (q15_t)0x80C7, + (q15_t)0xF374, (q15_t)0x809D, (q15_t)0xF504, (q15_t)0x8078, + (q15_t)0xF695, (q15_t)0x8058, (q15_t)0xF826, (q15_t)0x803D, + (q15_t)0xF9B8, (q15_t)0x8027, (q15_t)0xFB49, (q15_t)0x8016, + (q15_t)0xFCDB, (q15_t)0x8009, (q15_t)0xFE6D, (q15_t)0x8002 +}; + +/** +* \par +* Example code for q15 Twiddle factors Generation:: +* \par +*
for(i = 0; i< 3N/4; i++)
+* {
+*    twiddleCoefq15[2*i]= cos(i * 2*PI/(float)N);
+*    twiddleCoefq15[2*i+1]= sin(i * 2*PI/(float)N);
+* } 
+* \par +* where N = 1024 and PI = 3.14159265358979 +* \par +* Cos and Sin values are interleaved fashion +* \par +* Convert Floating point to q15(Fixed point 1.15): +* round(twiddleCoefq15(i) * pow(2, 15)) +* +*/ +const q15_t twiddleCoef_1024_q15[1536] = { + (q15_t)0x7FFF, (q15_t)0x0000, (q15_t)0x7FFF, (q15_t)0x00C9, + (q15_t)0x7FFD, (q15_t)0x0192, (q15_t)0x7FFA, (q15_t)0x025B, + (q15_t)0x7FF6, (q15_t)0x0324, (q15_t)0x7FF0, (q15_t)0x03ED, + (q15_t)0x7FE9, (q15_t)0x04B6, (q15_t)0x7FE1, (q15_t)0x057F, + (q15_t)0x7FD8, (q15_t)0x0647, (q15_t)0x7FCE, (q15_t)0x0710, + (q15_t)0x7FC2, (q15_t)0x07D9, (q15_t)0x7FB5, (q15_t)0x08A2, + (q15_t)0x7FA7, (q15_t)0x096A, (q15_t)0x7F97, (q15_t)0x0A33, + (q15_t)0x7F87, (q15_t)0x0AFB, (q15_t)0x7F75, (q15_t)0x0BC3, + (q15_t)0x7F62, (q15_t)0x0C8B, (q15_t)0x7F4D, (q15_t)0x0D53, + (q15_t)0x7F38, (q15_t)0x0E1B, (q15_t)0x7F21, (q15_t)0x0EE3, + (q15_t)0x7F09, (q15_t)0x0FAB, (q15_t)0x7EF0, (q15_t)0x1072, + (q15_t)0x7ED5, (q15_t)0x1139, (q15_t)0x7EBA, (q15_t)0x1201, + (q15_t)0x7E9D, (q15_t)0x12C8, (q15_t)0x7E7F, (q15_t)0x138E, + (q15_t)0x7E5F, (q15_t)0x1455, (q15_t)0x7E3F, (q15_t)0x151B, + (q15_t)0x7E1D, (q15_t)0x15E2, (q15_t)0x7DFA, (q15_t)0x16A8, + (q15_t)0x7DD6, (q15_t)0x176D, (q15_t)0x7DB0, (q15_t)0x1833, + (q15_t)0x7D8A, (q15_t)0x18F8, (q15_t)0x7D62, (q15_t)0x19BD, + (q15_t)0x7D39, (q15_t)0x1A82, (q15_t)0x7D0F, (q15_t)0x1B47, + (q15_t)0x7CE3, (q15_t)0x1C0B, (q15_t)0x7CB7, (q15_t)0x1CCF, + (q15_t)0x7C89, (q15_t)0x1D93, (q15_t)0x7C5A, (q15_t)0x1E56, + (q15_t)0x7C29, (q15_t)0x1F19, (q15_t)0x7BF8, (q15_t)0x1FDC, + (q15_t)0x7BC5, (q15_t)0x209F, (q15_t)0x7B92, (q15_t)0x2161, + (q15_t)0x7B5D, (q15_t)0x2223, (q15_t)0x7B26, (q15_t)0x22E5, + (q15_t)0x7AEF, (q15_t)0x23A6, (q15_t)0x7AB6, (q15_t)0x2467, + (q15_t)0x7A7D, (q15_t)0x2528, (q15_t)0x7A42, (q15_t)0x25E8, + (q15_t)0x7A05, (q15_t)0x26A8, (q15_t)0x79C8, (q15_t)0x2767, + (q15_t)0x798A, (q15_t)0x2826, (q15_t)0x794A, (q15_t)0x28E5, + (q15_t)0x7909, (q15_t)0x29A3, (q15_t)0x78C7, (q15_t)0x2A61, + (q15_t)0x7884, (q15_t)0x2B1F, (q15_t)0x7840, (q15_t)0x2BDC, + (q15_t)0x77FA, (q15_t)0x2C98, (q15_t)0x77B4, (q15_t)0x2D55, + (q15_t)0x776C, (q15_t)0x2E11, (q15_t)0x7723, (q15_t)0x2ECC, + (q15_t)0x76D9, (q15_t)0x2F87, (q15_t)0x768E, (q15_t)0x3041, + (q15_t)0x7641, (q15_t)0x30FB, (q15_t)0x75F4, (q15_t)0x31B5, + (q15_t)0x75A5, (q15_t)0x326E, (q15_t)0x7555, (q15_t)0x3326, + (q15_t)0x7504, (q15_t)0x33DE, (q15_t)0x74B2, (q15_t)0x3496, + (q15_t)0x745F, (q15_t)0x354D, (q15_t)0x740B, (q15_t)0x3604, + (q15_t)0x73B5, (q15_t)0x36BA, (q15_t)0x735F, (q15_t)0x376F, + (q15_t)0x7307, (q15_t)0x3824, (q15_t)0x72AF, (q15_t)0x38D8, + (q15_t)0x7255, (q15_t)0x398C, (q15_t)0x71FA, (q15_t)0x3A40, + (q15_t)0x719E, (q15_t)0x3AF2, (q15_t)0x7141, (q15_t)0x3BA5, + (q15_t)0x70E2, (q15_t)0x3C56, (q15_t)0x7083, (q15_t)0x3D07, + (q15_t)0x7023, (q15_t)0x3DB8, (q15_t)0x6FC1, (q15_t)0x3E68, + (q15_t)0x6F5F, (q15_t)0x3F17, (q15_t)0x6EFB, (q15_t)0x3FC5, + (q15_t)0x6E96, (q15_t)0x4073, (q15_t)0x6E30, (q15_t)0x4121, + (q15_t)0x6DCA, (q15_t)0x41CE, (q15_t)0x6D62, (q15_t)0x427A, + (q15_t)0x6CF9, (q15_t)0x4325, (q15_t)0x6C8F, (q15_t)0x43D0, + (q15_t)0x6C24, (q15_t)0x447A, (q15_t)0x6BB8, (q15_t)0x4524, + (q15_t)0x6B4A, (q15_t)0x45CD, (q15_t)0x6ADC, (q15_t)0x4675, + (q15_t)0x6A6D, (q15_t)0x471C, (q15_t)0x69FD, (q15_t)0x47C3, + (q15_t)0x698C, (q15_t)0x4869, (q15_t)0x6919, (q15_t)0x490F, + (q15_t)0x68A6, (q15_t)0x49B4, (q15_t)0x6832, (q15_t)0x4A58, + (q15_t)0x67BD, (q15_t)0x4AFB, (q15_t)0x6746, (q15_t)0x4B9E, + (q15_t)0x66CF, (q15_t)0x4C3F, (q15_t)0x6657, (q15_t)0x4CE1, + (q15_t)0x65DD, (q15_t)0x4D81, (q15_t)0x6563, (q15_t)0x4E21, + (q15_t)0x64E8, (q15_t)0x4EBF, (q15_t)0x646C, (q15_t)0x4F5E, + (q15_t)0x63EF, (q15_t)0x4FFB, (q15_t)0x6371, (q15_t)0x5097, + (q15_t)0x62F2, (q15_t)0x5133, (q15_t)0x6271, (q15_t)0x51CE, + (q15_t)0x61F1, (q15_t)0x5269, (q15_t)0x616F, (q15_t)0x5302, + (q15_t)0x60EC, (q15_t)0x539B, (q15_t)0x6068, (q15_t)0x5433, + (q15_t)0x5FE3, (q15_t)0x54CA, (q15_t)0x5F5E, (q15_t)0x5560, + (q15_t)0x5ED7, (q15_t)0x55F5, (q15_t)0x5E50, (q15_t)0x568A, + (q15_t)0x5DC7, (q15_t)0x571D, (q15_t)0x5D3E, (q15_t)0x57B0, + (q15_t)0x5CB4, (q15_t)0x5842, (q15_t)0x5C29, (q15_t)0x58D4, + (q15_t)0x5B9D, (q15_t)0x5964, (q15_t)0x5B10, (q15_t)0x59F3, + (q15_t)0x5A82, (q15_t)0x5A82, (q15_t)0x59F3, (q15_t)0x5B10, + (q15_t)0x5964, (q15_t)0x5B9D, (q15_t)0x58D4, (q15_t)0x5C29, + (q15_t)0x5842, (q15_t)0x5CB4, (q15_t)0x57B0, (q15_t)0x5D3E, + (q15_t)0x571D, (q15_t)0x5DC7, (q15_t)0x568A, (q15_t)0x5E50, + (q15_t)0x55F5, (q15_t)0x5ED7, (q15_t)0x5560, (q15_t)0x5F5E, + (q15_t)0x54CA, (q15_t)0x5FE3, (q15_t)0x5433, (q15_t)0x6068, + (q15_t)0x539B, (q15_t)0x60EC, (q15_t)0x5302, (q15_t)0x616F, + (q15_t)0x5269, (q15_t)0x61F1, (q15_t)0x51CE, (q15_t)0x6271, + (q15_t)0x5133, (q15_t)0x62F2, (q15_t)0x5097, (q15_t)0x6371, + (q15_t)0x4FFB, (q15_t)0x63EF, (q15_t)0x4F5E, (q15_t)0x646C, + (q15_t)0x4EBF, (q15_t)0x64E8, (q15_t)0x4E21, (q15_t)0x6563, + (q15_t)0x4D81, (q15_t)0x65DD, (q15_t)0x4CE1, (q15_t)0x6657, + (q15_t)0x4C3F, (q15_t)0x66CF, (q15_t)0x4B9E, (q15_t)0x6746, + (q15_t)0x4AFB, (q15_t)0x67BD, (q15_t)0x4A58, (q15_t)0x6832, + (q15_t)0x49B4, (q15_t)0x68A6, (q15_t)0x490F, (q15_t)0x6919, + (q15_t)0x4869, (q15_t)0x698C, (q15_t)0x47C3, (q15_t)0x69FD, + (q15_t)0x471C, (q15_t)0x6A6D, (q15_t)0x4675, (q15_t)0x6ADC, + (q15_t)0x45CD, (q15_t)0x6B4A, (q15_t)0x4524, (q15_t)0x6BB8, + (q15_t)0x447A, (q15_t)0x6C24, (q15_t)0x43D0, (q15_t)0x6C8F, + (q15_t)0x4325, (q15_t)0x6CF9, (q15_t)0x427A, (q15_t)0x6D62, + (q15_t)0x41CE, (q15_t)0x6DCA, (q15_t)0x4121, (q15_t)0x6E30, + (q15_t)0x4073, (q15_t)0x6E96, (q15_t)0x3FC5, (q15_t)0x6EFB, + (q15_t)0x3F17, (q15_t)0x6F5F, (q15_t)0x3E68, (q15_t)0x6FC1, + (q15_t)0x3DB8, (q15_t)0x7023, (q15_t)0x3D07, (q15_t)0x7083, + (q15_t)0x3C56, (q15_t)0x70E2, (q15_t)0x3BA5, (q15_t)0x7141, + (q15_t)0x3AF2, (q15_t)0x719E, (q15_t)0x3A40, (q15_t)0x71FA, + (q15_t)0x398C, (q15_t)0x7255, (q15_t)0x38D8, (q15_t)0x72AF, + (q15_t)0x3824, (q15_t)0x7307, (q15_t)0x376F, (q15_t)0x735F, + (q15_t)0x36BA, (q15_t)0x73B5, (q15_t)0x3604, (q15_t)0x740B, + (q15_t)0x354D, (q15_t)0x745F, (q15_t)0x3496, (q15_t)0x74B2, + (q15_t)0x33DE, (q15_t)0x7504, (q15_t)0x3326, (q15_t)0x7555, + (q15_t)0x326E, (q15_t)0x75A5, (q15_t)0x31B5, (q15_t)0x75F4, + (q15_t)0x30FB, (q15_t)0x7641, (q15_t)0x3041, (q15_t)0x768E, + (q15_t)0x2F87, (q15_t)0x76D9, (q15_t)0x2ECC, (q15_t)0x7723, + (q15_t)0x2E11, (q15_t)0x776C, (q15_t)0x2D55, (q15_t)0x77B4, + (q15_t)0x2C98, (q15_t)0x77FA, (q15_t)0x2BDC, (q15_t)0x7840, + (q15_t)0x2B1F, (q15_t)0x7884, (q15_t)0x2A61, (q15_t)0x78C7, + (q15_t)0x29A3, (q15_t)0x7909, (q15_t)0x28E5, (q15_t)0x794A, + (q15_t)0x2826, (q15_t)0x798A, (q15_t)0x2767, (q15_t)0x79C8, + (q15_t)0x26A8, (q15_t)0x7A05, (q15_t)0x25E8, (q15_t)0x7A42, + (q15_t)0x2528, (q15_t)0x7A7D, (q15_t)0x2467, (q15_t)0x7AB6, + (q15_t)0x23A6, (q15_t)0x7AEF, (q15_t)0x22E5, (q15_t)0x7B26, + (q15_t)0x2223, (q15_t)0x7B5D, (q15_t)0x2161, (q15_t)0x7B92, + (q15_t)0x209F, (q15_t)0x7BC5, (q15_t)0x1FDC, (q15_t)0x7BF8, + (q15_t)0x1F19, (q15_t)0x7C29, (q15_t)0x1E56, (q15_t)0x7C5A, + (q15_t)0x1D93, (q15_t)0x7C89, (q15_t)0x1CCF, (q15_t)0x7CB7, + (q15_t)0x1C0B, (q15_t)0x7CE3, (q15_t)0x1B47, (q15_t)0x7D0F, + (q15_t)0x1A82, (q15_t)0x7D39, (q15_t)0x19BD, (q15_t)0x7D62, + (q15_t)0x18F8, (q15_t)0x7D8A, (q15_t)0x1833, (q15_t)0x7DB0, + (q15_t)0x176D, (q15_t)0x7DD6, (q15_t)0x16A8, (q15_t)0x7DFA, + (q15_t)0x15E2, (q15_t)0x7E1D, (q15_t)0x151B, (q15_t)0x7E3F, + (q15_t)0x1455, (q15_t)0x7E5F, (q15_t)0x138E, (q15_t)0x7E7F, + (q15_t)0x12C8, (q15_t)0x7E9D, (q15_t)0x1201, (q15_t)0x7EBA, + (q15_t)0x1139, (q15_t)0x7ED5, (q15_t)0x1072, (q15_t)0x7EF0, + (q15_t)0x0FAB, (q15_t)0x7F09, (q15_t)0x0EE3, (q15_t)0x7F21, + (q15_t)0x0E1B, (q15_t)0x7F38, (q15_t)0x0D53, (q15_t)0x7F4D, + (q15_t)0x0C8B, (q15_t)0x7F62, (q15_t)0x0BC3, (q15_t)0x7F75, + (q15_t)0x0AFB, (q15_t)0x7F87, (q15_t)0x0A33, (q15_t)0x7F97, + (q15_t)0x096A, (q15_t)0x7FA7, (q15_t)0x08A2, (q15_t)0x7FB5, + (q15_t)0x07D9, (q15_t)0x7FC2, (q15_t)0x0710, (q15_t)0x7FCE, + (q15_t)0x0647, (q15_t)0x7FD8, (q15_t)0x057F, (q15_t)0x7FE1, + (q15_t)0x04B6, (q15_t)0x7FE9, (q15_t)0x03ED, (q15_t)0x7FF0, + (q15_t)0x0324, (q15_t)0x7FF6, (q15_t)0x025B, (q15_t)0x7FFA, + (q15_t)0x0192, (q15_t)0x7FFD, (q15_t)0x00C9, (q15_t)0x7FFF, + (q15_t)0x0000, (q15_t)0x7FFF, (q15_t)0xFF36, (q15_t)0x7FFF, + (q15_t)0xFE6D, (q15_t)0x7FFD, (q15_t)0xFDA4, (q15_t)0x7FFA, + (q15_t)0xFCDB, (q15_t)0x7FF6, (q15_t)0xFC12, (q15_t)0x7FF0, + (q15_t)0xFB49, (q15_t)0x7FE9, (q15_t)0xFA80, (q15_t)0x7FE1, + (q15_t)0xF9B8, (q15_t)0x7FD8, (q15_t)0xF8EF, (q15_t)0x7FCE, + (q15_t)0xF826, (q15_t)0x7FC2, (q15_t)0xF75D, (q15_t)0x7FB5, + (q15_t)0xF695, (q15_t)0x7FA7, (q15_t)0xF5CC, (q15_t)0x7F97, + (q15_t)0xF504, (q15_t)0x7F87, (q15_t)0xF43C, (q15_t)0x7F75, + (q15_t)0xF374, (q15_t)0x7F62, (q15_t)0xF2AC, (q15_t)0x7F4D, + (q15_t)0xF1E4, (q15_t)0x7F38, (q15_t)0xF11C, (q15_t)0x7F21, + (q15_t)0xF054, (q15_t)0x7F09, (q15_t)0xEF8D, (q15_t)0x7EF0, + (q15_t)0xEEC6, (q15_t)0x7ED5, (q15_t)0xEDFE, (q15_t)0x7EBA, + (q15_t)0xED37, (q15_t)0x7E9D, (q15_t)0xEC71, (q15_t)0x7E7F, + (q15_t)0xEBAA, (q15_t)0x7E5F, (q15_t)0xEAE4, (q15_t)0x7E3F, + (q15_t)0xEA1D, (q15_t)0x7E1D, (q15_t)0xE957, (q15_t)0x7DFA, + (q15_t)0xE892, (q15_t)0x7DD6, (q15_t)0xE7CC, (q15_t)0x7DB0, + (q15_t)0xE707, (q15_t)0x7D8A, (q15_t)0xE642, (q15_t)0x7D62, + (q15_t)0xE57D, (q15_t)0x7D39, (q15_t)0xE4B8, (q15_t)0x7D0F, + (q15_t)0xE3F4, (q15_t)0x7CE3, (q15_t)0xE330, (q15_t)0x7CB7, + (q15_t)0xE26C, (q15_t)0x7C89, (q15_t)0xE1A9, (q15_t)0x7C5A, + (q15_t)0xE0E6, (q15_t)0x7C29, (q15_t)0xE023, (q15_t)0x7BF8, + (q15_t)0xDF60, (q15_t)0x7BC5, (q15_t)0xDE9E, (q15_t)0x7B92, + (q15_t)0xDDDC, (q15_t)0x7B5D, (q15_t)0xDD1A, (q15_t)0x7B26, + (q15_t)0xDC59, (q15_t)0x7AEF, (q15_t)0xDB98, (q15_t)0x7AB6, + (q15_t)0xDAD7, (q15_t)0x7A7D, (q15_t)0xDA17, (q15_t)0x7A42, + (q15_t)0xD957, (q15_t)0x7A05, (q15_t)0xD898, (q15_t)0x79C8, + (q15_t)0xD7D9, (q15_t)0x798A, (q15_t)0xD71A, (q15_t)0x794A, + (q15_t)0xD65C, (q15_t)0x7909, (q15_t)0xD59E, (q15_t)0x78C7, + (q15_t)0xD4E0, (q15_t)0x7884, (q15_t)0xD423, (q15_t)0x7840, + (q15_t)0xD367, (q15_t)0x77FA, (q15_t)0xD2AA, (q15_t)0x77B4, + (q15_t)0xD1EE, (q15_t)0x776C, (q15_t)0xD133, (q15_t)0x7723, + (q15_t)0xD078, (q15_t)0x76D9, (q15_t)0xCFBE, (q15_t)0x768E, + (q15_t)0xCF04, (q15_t)0x7641, (q15_t)0xCE4A, (q15_t)0x75F4, + (q15_t)0xCD91, (q15_t)0x75A5, (q15_t)0xCCD9, (q15_t)0x7555, + (q15_t)0xCC21, (q15_t)0x7504, (q15_t)0xCB69, (q15_t)0x74B2, + (q15_t)0xCAB2, (q15_t)0x745F, (q15_t)0xC9FB, (q15_t)0x740B, + (q15_t)0xC945, (q15_t)0x73B5, (q15_t)0xC890, (q15_t)0x735F, + (q15_t)0xC7DB, (q15_t)0x7307, (q15_t)0xC727, (q15_t)0x72AF, + (q15_t)0xC673, (q15_t)0x7255, (q15_t)0xC5BF, (q15_t)0x71FA, + (q15_t)0xC50D, (q15_t)0x719E, (q15_t)0xC45A, (q15_t)0x7141, + (q15_t)0xC3A9, (q15_t)0x70E2, (q15_t)0xC2F8, (q15_t)0x7083, + (q15_t)0xC247, (q15_t)0x7023, (q15_t)0xC197, (q15_t)0x6FC1, + (q15_t)0xC0E8, (q15_t)0x6F5F, (q15_t)0xC03A, (q15_t)0x6EFB, + (q15_t)0xBF8C, (q15_t)0x6E96, (q15_t)0xBEDE, (q15_t)0x6E30, + (q15_t)0xBE31, (q15_t)0x6DCA, (q15_t)0xBD85, (q15_t)0x6D62, + (q15_t)0xBCDA, (q15_t)0x6CF9, (q15_t)0xBC2F, (q15_t)0x6C8F, + (q15_t)0xBB85, (q15_t)0x6C24, (q15_t)0xBADB, (q15_t)0x6BB8, + (q15_t)0xBA32, (q15_t)0x6B4A, (q15_t)0xB98A, (q15_t)0x6ADC, + (q15_t)0xB8E3, (q15_t)0x6A6D, (q15_t)0xB83C, (q15_t)0x69FD, + (q15_t)0xB796, (q15_t)0x698C, (q15_t)0xB6F0, (q15_t)0x6919, + (q15_t)0xB64B, (q15_t)0x68A6, (q15_t)0xB5A7, (q15_t)0x6832, + (q15_t)0xB504, (q15_t)0x67BD, (q15_t)0xB461, (q15_t)0x6746, + (q15_t)0xB3C0, (q15_t)0x66CF, (q15_t)0xB31E, (q15_t)0x6657, + (q15_t)0xB27E, (q15_t)0x65DD, (q15_t)0xB1DE, (q15_t)0x6563, + (q15_t)0xB140, (q15_t)0x64E8, (q15_t)0xB0A1, (q15_t)0x646C, + (q15_t)0xB004, (q15_t)0x63EF, (q15_t)0xAF68, (q15_t)0x6371, + (q15_t)0xAECC, (q15_t)0x62F2, (q15_t)0xAE31, (q15_t)0x6271, + (q15_t)0xAD96, (q15_t)0x61F1, (q15_t)0xACFD, (q15_t)0x616F, + (q15_t)0xAC64, (q15_t)0x60EC, (q15_t)0xABCC, (q15_t)0x6068, + (q15_t)0xAB35, (q15_t)0x5FE3, (q15_t)0xAA9F, (q15_t)0x5F5E, + (q15_t)0xAA0A, (q15_t)0x5ED7, (q15_t)0xA975, (q15_t)0x5E50, + (q15_t)0xA8E2, (q15_t)0x5DC7, (q15_t)0xA84F, (q15_t)0x5D3E, + (q15_t)0xA7BD, (q15_t)0x5CB4, (q15_t)0xA72B, (q15_t)0x5C29, + (q15_t)0xA69B, (q15_t)0x5B9D, (q15_t)0xA60C, (q15_t)0x5B10, + (q15_t)0xA57D, (q15_t)0x5A82, (q15_t)0xA4EF, (q15_t)0x59F3, + (q15_t)0xA462, (q15_t)0x5964, (q15_t)0xA3D6, (q15_t)0x58D4, + (q15_t)0xA34B, (q15_t)0x5842, (q15_t)0xA2C1, (q15_t)0x57B0, + (q15_t)0xA238, (q15_t)0x571D, (q15_t)0xA1AF, (q15_t)0x568A, + (q15_t)0xA128, (q15_t)0x55F5, (q15_t)0xA0A1, (q15_t)0x5560, + (q15_t)0xA01C, (q15_t)0x54CA, (q15_t)0x9F97, (q15_t)0x5433, + (q15_t)0x9F13, (q15_t)0x539B, (q15_t)0x9E90, (q15_t)0x5302, + (q15_t)0x9E0E, (q15_t)0x5269, (q15_t)0x9D8E, (q15_t)0x51CE, + (q15_t)0x9D0D, (q15_t)0x5133, (q15_t)0x9C8E, (q15_t)0x5097, + (q15_t)0x9C10, (q15_t)0x4FFB, (q15_t)0x9B93, (q15_t)0x4F5E, + (q15_t)0x9B17, (q15_t)0x4EBF, (q15_t)0x9A9C, (q15_t)0x4E21, + (q15_t)0x9A22, (q15_t)0x4D81, (q15_t)0x99A8, (q15_t)0x4CE1, + (q15_t)0x9930, (q15_t)0x4C3F, (q15_t)0x98B9, (q15_t)0x4B9E, + (q15_t)0x9842, (q15_t)0x4AFB, (q15_t)0x97CD, (q15_t)0x4A58, + (q15_t)0x9759, (q15_t)0x49B4, (q15_t)0x96E6, (q15_t)0x490F, + (q15_t)0x9673, (q15_t)0x4869, (q15_t)0x9602, (q15_t)0x47C3, + (q15_t)0x9592, (q15_t)0x471C, (q15_t)0x9523, (q15_t)0x4675, + (q15_t)0x94B5, (q15_t)0x45CD, (q15_t)0x9447, (q15_t)0x4524, + (q15_t)0x93DB, (q15_t)0x447A, (q15_t)0x9370, (q15_t)0x43D0, + (q15_t)0x9306, (q15_t)0x4325, (q15_t)0x929D, (q15_t)0x427A, + (q15_t)0x9235, (q15_t)0x41CE, (q15_t)0x91CF, (q15_t)0x4121, + (q15_t)0x9169, (q15_t)0x4073, (q15_t)0x9104, (q15_t)0x3FC5, + (q15_t)0x90A0, (q15_t)0x3F17, (q15_t)0x903E, (q15_t)0x3E68, + (q15_t)0x8FDC, (q15_t)0x3DB8, (q15_t)0x8F7C, (q15_t)0x3D07, + (q15_t)0x8F1D, (q15_t)0x3C56, (q15_t)0x8EBE, (q15_t)0x3BA5, + (q15_t)0x8E61, (q15_t)0x3AF2, (q15_t)0x8E05, (q15_t)0x3A40, + (q15_t)0x8DAA, (q15_t)0x398C, (q15_t)0x8D50, (q15_t)0x38D8, + (q15_t)0x8CF8, (q15_t)0x3824, (q15_t)0x8CA0, (q15_t)0x376F, + (q15_t)0x8C4A, (q15_t)0x36BA, (q15_t)0x8BF4, (q15_t)0x3604, + (q15_t)0x8BA0, (q15_t)0x354D, (q15_t)0x8B4D, (q15_t)0x3496, + (q15_t)0x8AFB, (q15_t)0x33DE, (q15_t)0x8AAA, (q15_t)0x3326, + (q15_t)0x8A5A, (q15_t)0x326E, (q15_t)0x8A0B, (q15_t)0x31B5, + (q15_t)0x89BE, (q15_t)0x30FB, (q15_t)0x8971, (q15_t)0x3041, + (q15_t)0x8926, (q15_t)0x2F87, (q15_t)0x88DC, (q15_t)0x2ECC, + (q15_t)0x8893, (q15_t)0x2E11, (q15_t)0x884B, (q15_t)0x2D55, + (q15_t)0x8805, (q15_t)0x2C98, (q15_t)0x87BF, (q15_t)0x2BDC, + (q15_t)0x877B, (q15_t)0x2B1F, (q15_t)0x8738, (q15_t)0x2A61, + (q15_t)0x86F6, (q15_t)0x29A3, (q15_t)0x86B5, (q15_t)0x28E5, + (q15_t)0x8675, (q15_t)0x2826, (q15_t)0x8637, (q15_t)0x2767, + (q15_t)0x85FA, (q15_t)0x26A8, (q15_t)0x85BD, (q15_t)0x25E8, + (q15_t)0x8582, (q15_t)0x2528, (q15_t)0x8549, (q15_t)0x2467, + (q15_t)0x8510, (q15_t)0x23A6, (q15_t)0x84D9, (q15_t)0x22E5, + (q15_t)0x84A2, (q15_t)0x2223, (q15_t)0x846D, (q15_t)0x2161, + (q15_t)0x843A, (q15_t)0x209F, (q15_t)0x8407, (q15_t)0x1FDC, + (q15_t)0x83D6, (q15_t)0x1F19, (q15_t)0x83A5, (q15_t)0x1E56, + (q15_t)0x8376, (q15_t)0x1D93, (q15_t)0x8348, (q15_t)0x1CCF, + (q15_t)0x831C, (q15_t)0x1C0B, (q15_t)0x82F0, (q15_t)0x1B47, + (q15_t)0x82C6, (q15_t)0x1A82, (q15_t)0x829D, (q15_t)0x19BD, + (q15_t)0x8275, (q15_t)0x18F8, (q15_t)0x824F, (q15_t)0x1833, + (q15_t)0x8229, (q15_t)0x176D, (q15_t)0x8205, (q15_t)0x16A8, + (q15_t)0x81E2, (q15_t)0x15E2, (q15_t)0x81C0, (q15_t)0x151B, + (q15_t)0x81A0, (q15_t)0x1455, (q15_t)0x8180, (q15_t)0x138E, + (q15_t)0x8162, (q15_t)0x12C8, (q15_t)0x8145, (q15_t)0x1201, + (q15_t)0x812A, (q15_t)0x1139, (q15_t)0x810F, (q15_t)0x1072, + (q15_t)0x80F6, (q15_t)0x0FAB, (q15_t)0x80DE, (q15_t)0x0EE3, + (q15_t)0x80C7, (q15_t)0x0E1B, (q15_t)0x80B2, (q15_t)0x0D53, + (q15_t)0x809D, (q15_t)0x0C8B, (q15_t)0x808A, (q15_t)0x0BC3, + (q15_t)0x8078, (q15_t)0x0AFB, (q15_t)0x8068, (q15_t)0x0A33, + (q15_t)0x8058, (q15_t)0x096A, (q15_t)0x804A, (q15_t)0x08A2, + (q15_t)0x803D, (q15_t)0x07D9, (q15_t)0x8031, (q15_t)0x0710, + (q15_t)0x8027, (q15_t)0x0647, (q15_t)0x801E, (q15_t)0x057F, + (q15_t)0x8016, (q15_t)0x04B6, (q15_t)0x800F, (q15_t)0x03ED, + (q15_t)0x8009, (q15_t)0x0324, (q15_t)0x8005, (q15_t)0x025B, + (q15_t)0x8002, (q15_t)0x0192, (q15_t)0x8000, (q15_t)0x00C9, + (q15_t)0x8000, (q15_t)0x0000, (q15_t)0x8000, (q15_t)0xFF36, + (q15_t)0x8002, (q15_t)0xFE6D, (q15_t)0x8005, (q15_t)0xFDA4, + (q15_t)0x8009, (q15_t)0xFCDB, (q15_t)0x800F, (q15_t)0xFC12, + (q15_t)0x8016, (q15_t)0xFB49, (q15_t)0x801E, (q15_t)0xFA80, + (q15_t)0x8027, (q15_t)0xF9B8, (q15_t)0x8031, (q15_t)0xF8EF, + (q15_t)0x803D, (q15_t)0xF826, (q15_t)0x804A, (q15_t)0xF75D, + (q15_t)0x8058, (q15_t)0xF695, (q15_t)0x8068, (q15_t)0xF5CC, + (q15_t)0x8078, (q15_t)0xF504, (q15_t)0x808A, (q15_t)0xF43C, + (q15_t)0x809D, (q15_t)0xF374, (q15_t)0x80B2, (q15_t)0xF2AC, + (q15_t)0x80C7, (q15_t)0xF1E4, (q15_t)0x80DE, (q15_t)0xF11C, + (q15_t)0x80F6, (q15_t)0xF054, (q15_t)0x810F, (q15_t)0xEF8D, + (q15_t)0x812A, (q15_t)0xEEC6, (q15_t)0x8145, (q15_t)0xEDFE, + (q15_t)0x8162, (q15_t)0xED37, (q15_t)0x8180, (q15_t)0xEC71, + (q15_t)0x81A0, (q15_t)0xEBAA, (q15_t)0x81C0, (q15_t)0xEAE4, + (q15_t)0x81E2, (q15_t)0xEA1D, (q15_t)0x8205, (q15_t)0xE957, + (q15_t)0x8229, (q15_t)0xE892, (q15_t)0x824F, (q15_t)0xE7CC, + (q15_t)0x8275, (q15_t)0xE707, (q15_t)0x829D, (q15_t)0xE642, + (q15_t)0x82C6, (q15_t)0xE57D, (q15_t)0x82F0, (q15_t)0xE4B8, + (q15_t)0x831C, (q15_t)0xE3F4, (q15_t)0x8348, (q15_t)0xE330, + (q15_t)0x8376, (q15_t)0xE26C, (q15_t)0x83A5, (q15_t)0xE1A9, + (q15_t)0x83D6, (q15_t)0xE0E6, (q15_t)0x8407, (q15_t)0xE023, + (q15_t)0x843A, (q15_t)0xDF60, (q15_t)0x846D, (q15_t)0xDE9E, + (q15_t)0x84A2, (q15_t)0xDDDC, (q15_t)0x84D9, (q15_t)0xDD1A, + (q15_t)0x8510, (q15_t)0xDC59, (q15_t)0x8549, (q15_t)0xDB98, + (q15_t)0x8582, (q15_t)0xDAD7, (q15_t)0x85BD, (q15_t)0xDA17, + (q15_t)0x85FA, (q15_t)0xD957, (q15_t)0x8637, (q15_t)0xD898, + (q15_t)0x8675, (q15_t)0xD7D9, (q15_t)0x86B5, (q15_t)0xD71A, + (q15_t)0x86F6, (q15_t)0xD65C, (q15_t)0x8738, (q15_t)0xD59E, + (q15_t)0x877B, (q15_t)0xD4E0, (q15_t)0x87BF, (q15_t)0xD423, + (q15_t)0x8805, (q15_t)0xD367, (q15_t)0x884B, (q15_t)0xD2AA, + (q15_t)0x8893, (q15_t)0xD1EE, (q15_t)0x88DC, (q15_t)0xD133, + (q15_t)0x8926, (q15_t)0xD078, (q15_t)0x8971, (q15_t)0xCFBE, + (q15_t)0x89BE, (q15_t)0xCF04, (q15_t)0x8A0B, (q15_t)0xCE4A, + (q15_t)0x8A5A, (q15_t)0xCD91, (q15_t)0x8AAA, (q15_t)0xCCD9, + (q15_t)0x8AFB, (q15_t)0xCC21, (q15_t)0x8B4D, (q15_t)0xCB69, + (q15_t)0x8BA0, (q15_t)0xCAB2, (q15_t)0x8BF4, (q15_t)0xC9FB, + (q15_t)0x8C4A, (q15_t)0xC945, (q15_t)0x8CA0, (q15_t)0xC890, + (q15_t)0x8CF8, (q15_t)0xC7DB, (q15_t)0x8D50, (q15_t)0xC727, + (q15_t)0x8DAA, (q15_t)0xC673, (q15_t)0x8E05, (q15_t)0xC5BF, + (q15_t)0x8E61, (q15_t)0xC50D, (q15_t)0x8EBE, (q15_t)0xC45A, + (q15_t)0x8F1D, (q15_t)0xC3A9, (q15_t)0x8F7C, (q15_t)0xC2F8, + (q15_t)0x8FDC, (q15_t)0xC247, (q15_t)0x903E, (q15_t)0xC197, + (q15_t)0x90A0, (q15_t)0xC0E8, (q15_t)0x9104, (q15_t)0xC03A, + (q15_t)0x9169, (q15_t)0xBF8C, (q15_t)0x91CF, (q15_t)0xBEDE, + (q15_t)0x9235, (q15_t)0xBE31, (q15_t)0x929D, (q15_t)0xBD85, + (q15_t)0x9306, (q15_t)0xBCDA, (q15_t)0x9370, (q15_t)0xBC2F, + (q15_t)0x93DB, (q15_t)0xBB85, (q15_t)0x9447, (q15_t)0xBADB, + (q15_t)0x94B5, (q15_t)0xBA32, (q15_t)0x9523, (q15_t)0xB98A, + (q15_t)0x9592, (q15_t)0xB8E3, (q15_t)0x9602, (q15_t)0xB83C, + (q15_t)0x9673, (q15_t)0xB796, (q15_t)0x96E6, (q15_t)0xB6F0, + (q15_t)0x9759, (q15_t)0xB64B, (q15_t)0x97CD, (q15_t)0xB5A7, + (q15_t)0x9842, (q15_t)0xB504, (q15_t)0x98B9, (q15_t)0xB461, + (q15_t)0x9930, (q15_t)0xB3C0, (q15_t)0x99A8, (q15_t)0xB31E, + (q15_t)0x9A22, (q15_t)0xB27E, (q15_t)0x9A9C, (q15_t)0xB1DE, + (q15_t)0x9B17, (q15_t)0xB140, (q15_t)0x9B93, (q15_t)0xB0A1, + (q15_t)0x9C10, (q15_t)0xB004, (q15_t)0x9C8E, (q15_t)0xAF68, + (q15_t)0x9D0D, (q15_t)0xAECC, (q15_t)0x9D8E, (q15_t)0xAE31, + (q15_t)0x9E0E, (q15_t)0xAD96, (q15_t)0x9E90, (q15_t)0xACFD, + (q15_t)0x9F13, (q15_t)0xAC64, (q15_t)0x9F97, (q15_t)0xABCC, + (q15_t)0xA01C, (q15_t)0xAB35, (q15_t)0xA0A1, (q15_t)0xAA9F, + (q15_t)0xA128, (q15_t)0xAA0A, (q15_t)0xA1AF, (q15_t)0xA975, + (q15_t)0xA238, (q15_t)0xA8E2, (q15_t)0xA2C1, (q15_t)0xA84F, + (q15_t)0xA34B, (q15_t)0xA7BD, (q15_t)0xA3D6, (q15_t)0xA72B, + (q15_t)0xA462, (q15_t)0xA69B, (q15_t)0xA4EF, (q15_t)0xA60C, + (q15_t)0xA57D, (q15_t)0xA57D, (q15_t)0xA60C, (q15_t)0xA4EF, + (q15_t)0xA69B, (q15_t)0xA462, (q15_t)0xA72B, (q15_t)0xA3D6, + (q15_t)0xA7BD, (q15_t)0xA34B, (q15_t)0xA84F, (q15_t)0xA2C1, + (q15_t)0xA8E2, (q15_t)0xA238, (q15_t)0xA975, (q15_t)0xA1AF, + (q15_t)0xAA0A, (q15_t)0xA128, (q15_t)0xAA9F, (q15_t)0xA0A1, + (q15_t)0xAB35, (q15_t)0xA01C, (q15_t)0xABCC, (q15_t)0x9F97, + (q15_t)0xAC64, (q15_t)0x9F13, (q15_t)0xACFD, (q15_t)0x9E90, + (q15_t)0xAD96, (q15_t)0x9E0E, (q15_t)0xAE31, (q15_t)0x9D8E, + (q15_t)0xAECC, (q15_t)0x9D0D, (q15_t)0xAF68, (q15_t)0x9C8E, + (q15_t)0xB004, (q15_t)0x9C10, (q15_t)0xB0A1, (q15_t)0x9B93, + (q15_t)0xB140, (q15_t)0x9B17, (q15_t)0xB1DE, (q15_t)0x9A9C, + (q15_t)0xB27E, (q15_t)0x9A22, (q15_t)0xB31E, (q15_t)0x99A8, + (q15_t)0xB3C0, (q15_t)0x9930, (q15_t)0xB461, (q15_t)0x98B9, + (q15_t)0xB504, (q15_t)0x9842, (q15_t)0xB5A7, (q15_t)0x97CD, + (q15_t)0xB64B, (q15_t)0x9759, (q15_t)0xB6F0, (q15_t)0x96E6, + (q15_t)0xB796, (q15_t)0x9673, (q15_t)0xB83C, (q15_t)0x9602, + (q15_t)0xB8E3, (q15_t)0x9592, (q15_t)0xB98A, (q15_t)0x9523, + (q15_t)0xBA32, (q15_t)0x94B5, (q15_t)0xBADB, (q15_t)0x9447, + (q15_t)0xBB85, (q15_t)0x93DB, (q15_t)0xBC2F, (q15_t)0x9370, + (q15_t)0xBCDA, (q15_t)0x9306, (q15_t)0xBD85, (q15_t)0x929D, + (q15_t)0xBE31, (q15_t)0x9235, (q15_t)0xBEDE, (q15_t)0x91CF, + (q15_t)0xBF8C, (q15_t)0x9169, (q15_t)0xC03A, (q15_t)0x9104, + (q15_t)0xC0E8, (q15_t)0x90A0, (q15_t)0xC197, (q15_t)0x903E, + (q15_t)0xC247, (q15_t)0x8FDC, (q15_t)0xC2F8, (q15_t)0x8F7C, + (q15_t)0xC3A9, (q15_t)0x8F1D, (q15_t)0xC45A, (q15_t)0x8EBE, + (q15_t)0xC50D, (q15_t)0x8E61, (q15_t)0xC5BF, (q15_t)0x8E05, + (q15_t)0xC673, (q15_t)0x8DAA, (q15_t)0xC727, (q15_t)0x8D50, + (q15_t)0xC7DB, (q15_t)0x8CF8, (q15_t)0xC890, (q15_t)0x8CA0, + (q15_t)0xC945, (q15_t)0x8C4A, (q15_t)0xC9FB, (q15_t)0x8BF4, + (q15_t)0xCAB2, (q15_t)0x8BA0, (q15_t)0xCB69, (q15_t)0x8B4D, + (q15_t)0xCC21, (q15_t)0x8AFB, (q15_t)0xCCD9, (q15_t)0x8AAA, + (q15_t)0xCD91, (q15_t)0x8A5A, (q15_t)0xCE4A, (q15_t)0x8A0B, + (q15_t)0xCF04, (q15_t)0x89BE, (q15_t)0xCFBE, (q15_t)0x8971, + (q15_t)0xD078, (q15_t)0x8926, (q15_t)0xD133, (q15_t)0x88DC, + (q15_t)0xD1EE, (q15_t)0x8893, (q15_t)0xD2AA, (q15_t)0x884B, + (q15_t)0xD367, (q15_t)0x8805, (q15_t)0xD423, (q15_t)0x87BF, + (q15_t)0xD4E0, (q15_t)0x877B, (q15_t)0xD59E, (q15_t)0x8738, + (q15_t)0xD65C, (q15_t)0x86F6, (q15_t)0xD71A, (q15_t)0x86B5, + (q15_t)0xD7D9, (q15_t)0x8675, (q15_t)0xD898, (q15_t)0x8637, + (q15_t)0xD957, (q15_t)0x85FA, (q15_t)0xDA17, (q15_t)0x85BD, + (q15_t)0xDAD7, (q15_t)0x8582, (q15_t)0xDB98, (q15_t)0x8549, + (q15_t)0xDC59, (q15_t)0x8510, (q15_t)0xDD1A, (q15_t)0x84D9, + (q15_t)0xDDDC, (q15_t)0x84A2, (q15_t)0xDE9E, (q15_t)0x846D, + (q15_t)0xDF60, (q15_t)0x843A, (q15_t)0xE023, (q15_t)0x8407, + (q15_t)0xE0E6, (q15_t)0x83D6, (q15_t)0xE1A9, (q15_t)0x83A5, + (q15_t)0xE26C, (q15_t)0x8376, (q15_t)0xE330, (q15_t)0x8348, + (q15_t)0xE3F4, (q15_t)0x831C, (q15_t)0xE4B8, (q15_t)0x82F0, + (q15_t)0xE57D, (q15_t)0x82C6, (q15_t)0xE642, (q15_t)0x829D, + (q15_t)0xE707, (q15_t)0x8275, (q15_t)0xE7CC, (q15_t)0x824F, + (q15_t)0xE892, (q15_t)0x8229, (q15_t)0xE957, (q15_t)0x8205, + (q15_t)0xEA1D, (q15_t)0x81E2, (q15_t)0xEAE4, (q15_t)0x81C0, + (q15_t)0xEBAA, (q15_t)0x81A0, (q15_t)0xEC71, (q15_t)0x8180, + (q15_t)0xED37, (q15_t)0x8162, (q15_t)0xEDFE, (q15_t)0x8145, + (q15_t)0xEEC6, (q15_t)0x812A, (q15_t)0xEF8D, (q15_t)0x810F, + (q15_t)0xF054, (q15_t)0x80F6, (q15_t)0xF11C, (q15_t)0x80DE, + (q15_t)0xF1E4, (q15_t)0x80C7, (q15_t)0xF2AC, (q15_t)0x80B2, + (q15_t)0xF374, (q15_t)0x809D, (q15_t)0xF43C, (q15_t)0x808A, + (q15_t)0xF504, (q15_t)0x8078, (q15_t)0xF5CC, (q15_t)0x8068, + (q15_t)0xF695, (q15_t)0x8058, (q15_t)0xF75D, (q15_t)0x804A, + (q15_t)0xF826, (q15_t)0x803D, (q15_t)0xF8EF, (q15_t)0x8031, + (q15_t)0xF9B8, (q15_t)0x8027, (q15_t)0xFA80, (q15_t)0x801E, + (q15_t)0xFB49, (q15_t)0x8016, (q15_t)0xFC12, (q15_t)0x800F, + (q15_t)0xFCDB, (q15_t)0x8009, (q15_t)0xFDA4, (q15_t)0x8005, + (q15_t)0xFE6D, (q15_t)0x8002, (q15_t)0xFF36, (q15_t)0x8000 +}; + +/** +* \par +* Example code for q15 Twiddle factors Generation:: +* \par +*
for(i = 0; i< 3N/4; i++)
+* {
+*    twiddleCoefq15[2*i]= cos(i * 2*PI/(float)N);
+*    twiddleCoefq15[2*i+1]= sin(i * 2*PI/(float)N);
+* } 
+* \par +* where N = 2048 and PI = 3.14159265358979 +* \par +* Cos and Sin values are interleaved fashion +* \par +* Convert Floating point to q15(Fixed point 1.15): +* round(twiddleCoefq15(i) * pow(2, 15)) +* +*/ +const q15_t twiddleCoef_2048_q15[3072] = { + (q15_t)0x7FFF, (q15_t)0x0000, (q15_t)0x7FFF, (q15_t)0x0064, + (q15_t)0x7FFF, (q15_t)0x00C9, (q15_t)0x7FFE, (q15_t)0x012D, + (q15_t)0x7FFD, (q15_t)0x0192, (q15_t)0x7FFC, (q15_t)0x01F6, + (q15_t)0x7FFA, (q15_t)0x025B, (q15_t)0x7FF8, (q15_t)0x02BF, + (q15_t)0x7FF6, (q15_t)0x0324, (q15_t)0x7FF3, (q15_t)0x0388, + (q15_t)0x7FF0, (q15_t)0x03ED, (q15_t)0x7FED, (q15_t)0x0451, + (q15_t)0x7FE9, (q15_t)0x04B6, (q15_t)0x7FE5, (q15_t)0x051A, + (q15_t)0x7FE1, (q15_t)0x057F, (q15_t)0x7FDD, (q15_t)0x05E3, + (q15_t)0x7FD8, (q15_t)0x0647, (q15_t)0x7FD3, (q15_t)0x06AC, + (q15_t)0x7FCE, (q15_t)0x0710, (q15_t)0x7FC8, (q15_t)0x0775, + (q15_t)0x7FC2, (q15_t)0x07D9, (q15_t)0x7FBC, (q15_t)0x083D, + (q15_t)0x7FB5, (q15_t)0x08A2, (q15_t)0x7FAE, (q15_t)0x0906, + (q15_t)0x7FA7, (q15_t)0x096A, (q15_t)0x7F9F, (q15_t)0x09CE, + (q15_t)0x7F97, (q15_t)0x0A33, (q15_t)0x7F8F, (q15_t)0x0A97, + (q15_t)0x7F87, (q15_t)0x0AFB, (q15_t)0x7F7E, (q15_t)0x0B5F, + (q15_t)0x7F75, (q15_t)0x0BC3, (q15_t)0x7F6B, (q15_t)0x0C27, + (q15_t)0x7F62, (q15_t)0x0C8B, (q15_t)0x7F58, (q15_t)0x0CEF, + (q15_t)0x7F4D, (q15_t)0x0D53, (q15_t)0x7F43, (q15_t)0x0DB7, + (q15_t)0x7F38, (q15_t)0x0E1B, (q15_t)0x7F2D, (q15_t)0x0E7F, + (q15_t)0x7F21, (q15_t)0x0EE3, (q15_t)0x7F15, (q15_t)0x0F47, + (q15_t)0x7F09, (q15_t)0x0FAB, (q15_t)0x7EFD, (q15_t)0x100E, + (q15_t)0x7EF0, (q15_t)0x1072, (q15_t)0x7EE3, (q15_t)0x10D6, + (q15_t)0x7ED5, (q15_t)0x1139, (q15_t)0x7EC8, (q15_t)0x119D, + (q15_t)0x7EBA, (q15_t)0x1201, (q15_t)0x7EAB, (q15_t)0x1264, + (q15_t)0x7E9D, (q15_t)0x12C8, (q15_t)0x7E8E, (q15_t)0x132B, + (q15_t)0x7E7F, (q15_t)0x138E, (q15_t)0x7E6F, (q15_t)0x13F2, + (q15_t)0x7E5F, (q15_t)0x1455, (q15_t)0x7E4F, (q15_t)0x14B8, + (q15_t)0x7E3F, (q15_t)0x151B, (q15_t)0x7E2E, (q15_t)0x157F, + (q15_t)0x7E1D, (q15_t)0x15E2, (q15_t)0x7E0C, (q15_t)0x1645, + (q15_t)0x7DFA, (q15_t)0x16A8, (q15_t)0x7DE8, (q15_t)0x170A, + (q15_t)0x7DD6, (q15_t)0x176D, (q15_t)0x7DC3, (q15_t)0x17D0, + (q15_t)0x7DB0, (q15_t)0x1833, (q15_t)0x7D9D, (q15_t)0x1896, + (q15_t)0x7D8A, (q15_t)0x18F8, (q15_t)0x7D76, (q15_t)0x195B, + (q15_t)0x7D62, (q15_t)0x19BD, (q15_t)0x7D4E, (q15_t)0x1A20, + (q15_t)0x7D39, (q15_t)0x1A82, (q15_t)0x7D24, (q15_t)0x1AE4, + (q15_t)0x7D0F, (q15_t)0x1B47, (q15_t)0x7CF9, (q15_t)0x1BA9, + (q15_t)0x7CE3, (q15_t)0x1C0B, (q15_t)0x7CCD, (q15_t)0x1C6D, + (q15_t)0x7CB7, (q15_t)0x1CCF, (q15_t)0x7CA0, (q15_t)0x1D31, + (q15_t)0x7C89, (q15_t)0x1D93, (q15_t)0x7C71, (q15_t)0x1DF5, + (q15_t)0x7C5A, (q15_t)0x1E56, (q15_t)0x7C42, (q15_t)0x1EB8, + (q15_t)0x7C29, (q15_t)0x1F19, (q15_t)0x7C11, (q15_t)0x1F7B, + (q15_t)0x7BF8, (q15_t)0x1FDC, (q15_t)0x7BDF, (q15_t)0x203E, + (q15_t)0x7BC5, (q15_t)0x209F, (q15_t)0x7BAC, (q15_t)0x2100, + (q15_t)0x7B92, (q15_t)0x2161, (q15_t)0x7B77, (q15_t)0x21C2, + (q15_t)0x7B5D, (q15_t)0x2223, (q15_t)0x7B42, (q15_t)0x2284, + (q15_t)0x7B26, (q15_t)0x22E5, (q15_t)0x7B0B, (q15_t)0x2345, + (q15_t)0x7AEF, (q15_t)0x23A6, (q15_t)0x7AD3, (q15_t)0x2407, + (q15_t)0x7AB6, (q15_t)0x2467, (q15_t)0x7A9A, (q15_t)0x24C7, + (q15_t)0x7A7D, (q15_t)0x2528, (q15_t)0x7A5F, (q15_t)0x2588, + (q15_t)0x7A42, (q15_t)0x25E8, (q15_t)0x7A24, (q15_t)0x2648, + (q15_t)0x7A05, (q15_t)0x26A8, (q15_t)0x79E7, (q15_t)0x2707, + (q15_t)0x79C8, (q15_t)0x2767, (q15_t)0x79A9, (q15_t)0x27C7, + (q15_t)0x798A, (q15_t)0x2826, (q15_t)0x796A, (q15_t)0x2886, + (q15_t)0x794A, (q15_t)0x28E5, (q15_t)0x792A, (q15_t)0x2944, + (q15_t)0x7909, (q15_t)0x29A3, (q15_t)0x78E8, (q15_t)0x2A02, + (q15_t)0x78C7, (q15_t)0x2A61, (q15_t)0x78A6, (q15_t)0x2AC0, + (q15_t)0x7884, (q15_t)0x2B1F, (q15_t)0x7862, (q15_t)0x2B7D, + (q15_t)0x7840, (q15_t)0x2BDC, (q15_t)0x781D, (q15_t)0x2C3A, + (q15_t)0x77FA, (q15_t)0x2C98, (q15_t)0x77D7, (q15_t)0x2CF7, + (q15_t)0x77B4, (q15_t)0x2D55, (q15_t)0x7790, (q15_t)0x2DB3, + (q15_t)0x776C, (q15_t)0x2E11, (q15_t)0x7747, (q15_t)0x2E6E, + (q15_t)0x7723, (q15_t)0x2ECC, (q15_t)0x76FE, (q15_t)0x2F29, + (q15_t)0x76D9, (q15_t)0x2F87, (q15_t)0x76B3, (q15_t)0x2FE4, + (q15_t)0x768E, (q15_t)0x3041, (q15_t)0x7668, (q15_t)0x309E, + (q15_t)0x7641, (q15_t)0x30FB, (q15_t)0x761B, (q15_t)0x3158, + (q15_t)0x75F4, (q15_t)0x31B5, (q15_t)0x75CC, (q15_t)0x3211, + (q15_t)0x75A5, (q15_t)0x326E, (q15_t)0x757D, (q15_t)0x32CA, + (q15_t)0x7555, (q15_t)0x3326, (q15_t)0x752D, (q15_t)0x3382, + (q15_t)0x7504, (q15_t)0x33DE, (q15_t)0x74DB, (q15_t)0x343A, + (q15_t)0x74B2, (q15_t)0x3496, (q15_t)0x7489, (q15_t)0x34F2, + (q15_t)0x745F, (q15_t)0x354D, (q15_t)0x7435, (q15_t)0x35A8, + (q15_t)0x740B, (q15_t)0x3604, (q15_t)0x73E0, (q15_t)0x365F, + (q15_t)0x73B5, (q15_t)0x36BA, (q15_t)0x738A, (q15_t)0x3714, + (q15_t)0x735F, (q15_t)0x376F, (q15_t)0x7333, (q15_t)0x37CA, + (q15_t)0x7307, (q15_t)0x3824, (q15_t)0x72DB, (q15_t)0x387E, + (q15_t)0x72AF, (q15_t)0x38D8, (q15_t)0x7282, (q15_t)0x3932, + (q15_t)0x7255, (q15_t)0x398C, (q15_t)0x7227, (q15_t)0x39E6, + (q15_t)0x71FA, (q15_t)0x3A40, (q15_t)0x71CC, (q15_t)0x3A99, + (q15_t)0x719E, (q15_t)0x3AF2, (q15_t)0x716F, (q15_t)0x3B4C, + (q15_t)0x7141, (q15_t)0x3BA5, (q15_t)0x7112, (q15_t)0x3BFD, + (q15_t)0x70E2, (q15_t)0x3C56, (q15_t)0x70B3, (q15_t)0x3CAF, + (q15_t)0x7083, (q15_t)0x3D07, (q15_t)0x7053, (q15_t)0x3D60, + (q15_t)0x7023, (q15_t)0x3DB8, (q15_t)0x6FF2, (q15_t)0x3E10, + (q15_t)0x6FC1, (q15_t)0x3E68, (q15_t)0x6F90, (q15_t)0x3EBF, + (q15_t)0x6F5F, (q15_t)0x3F17, (q15_t)0x6F2D, (q15_t)0x3F6E, + (q15_t)0x6EFB, (q15_t)0x3FC5, (q15_t)0x6EC9, (q15_t)0x401D, + (q15_t)0x6E96, (q15_t)0x4073, (q15_t)0x6E63, (q15_t)0x40CA, + (q15_t)0x6E30, (q15_t)0x4121, (q15_t)0x6DFD, (q15_t)0x4177, + (q15_t)0x6DCA, (q15_t)0x41CE, (q15_t)0x6D96, (q15_t)0x4224, + (q15_t)0x6D62, (q15_t)0x427A, (q15_t)0x6D2D, (q15_t)0x42D0, + (q15_t)0x6CF9, (q15_t)0x4325, (q15_t)0x6CC4, (q15_t)0x437B, + (q15_t)0x6C8F, (q15_t)0x43D0, (q15_t)0x6C59, (q15_t)0x4425, + (q15_t)0x6C24, (q15_t)0x447A, (q15_t)0x6BEE, (q15_t)0x44CF, + (q15_t)0x6BB8, (q15_t)0x4524, (q15_t)0x6B81, (q15_t)0x4578, + (q15_t)0x6B4A, (q15_t)0x45CD, (q15_t)0x6B13, (q15_t)0x4621, + (q15_t)0x6ADC, (q15_t)0x4675, (q15_t)0x6AA5, (q15_t)0x46C9, + (q15_t)0x6A6D, (q15_t)0x471C, (q15_t)0x6A35, (q15_t)0x4770, + (q15_t)0x69FD, (q15_t)0x47C3, (q15_t)0x69C4, (q15_t)0x4816, + (q15_t)0x698C, (q15_t)0x4869, (q15_t)0x6953, (q15_t)0x48BC, + (q15_t)0x6919, (q15_t)0x490F, (q15_t)0x68E0, (q15_t)0x4961, + (q15_t)0x68A6, (q15_t)0x49B4, (q15_t)0x686C, (q15_t)0x4A06, + (q15_t)0x6832, (q15_t)0x4A58, (q15_t)0x67F7, (q15_t)0x4AA9, + (q15_t)0x67BD, (q15_t)0x4AFB, (q15_t)0x6782, (q15_t)0x4B4C, + (q15_t)0x6746, (q15_t)0x4B9E, (q15_t)0x670B, (q15_t)0x4BEF, + (q15_t)0x66CF, (q15_t)0x4C3F, (q15_t)0x6693, (q15_t)0x4C90, + (q15_t)0x6657, (q15_t)0x4CE1, (q15_t)0x661A, (q15_t)0x4D31, + (q15_t)0x65DD, (q15_t)0x4D81, (q15_t)0x65A0, (q15_t)0x4DD1, + (q15_t)0x6563, (q15_t)0x4E21, (q15_t)0x6526, (q15_t)0x4E70, + (q15_t)0x64E8, (q15_t)0x4EBF, (q15_t)0x64AA, (q15_t)0x4F0F, + (q15_t)0x646C, (q15_t)0x4F5E, (q15_t)0x642D, (q15_t)0x4FAC, + (q15_t)0x63EF, (q15_t)0x4FFB, (q15_t)0x63B0, (q15_t)0x5049, + (q15_t)0x6371, (q15_t)0x5097, (q15_t)0x6331, (q15_t)0x50E5, + (q15_t)0x62F2, (q15_t)0x5133, (q15_t)0x62B2, (q15_t)0x5181, + (q15_t)0x6271, (q15_t)0x51CE, (q15_t)0x6231, (q15_t)0x521C, + (q15_t)0x61F1, (q15_t)0x5269, (q15_t)0x61B0, (q15_t)0x52B5, + (q15_t)0x616F, (q15_t)0x5302, (q15_t)0x612D, (q15_t)0x534E, + (q15_t)0x60EC, (q15_t)0x539B, (q15_t)0x60AA, (q15_t)0x53E7, + (q15_t)0x6068, (q15_t)0x5433, (q15_t)0x6026, (q15_t)0x547E, + (q15_t)0x5FE3, (q15_t)0x54CA, (q15_t)0x5FA0, (q15_t)0x5515, + (q15_t)0x5F5E, (q15_t)0x5560, (q15_t)0x5F1A, (q15_t)0x55AB, + (q15_t)0x5ED7, (q15_t)0x55F5, (q15_t)0x5E93, (q15_t)0x5640, + (q15_t)0x5E50, (q15_t)0x568A, (q15_t)0x5E0B, (q15_t)0x56D4, + (q15_t)0x5DC7, (q15_t)0x571D, (q15_t)0x5D83, (q15_t)0x5767, + (q15_t)0x5D3E, (q15_t)0x57B0, (q15_t)0x5CF9, (q15_t)0x57F9, + (q15_t)0x5CB4, (q15_t)0x5842, (q15_t)0x5C6E, (q15_t)0x588B, + (q15_t)0x5C29, (q15_t)0x58D4, (q15_t)0x5BE3, (q15_t)0x591C, + (q15_t)0x5B9D, (q15_t)0x5964, (q15_t)0x5B56, (q15_t)0x59AC, + (q15_t)0x5B10, (q15_t)0x59F3, (q15_t)0x5AC9, (q15_t)0x5A3B, + (q15_t)0x5A82, (q15_t)0x5A82, (q15_t)0x5A3B, (q15_t)0x5AC9, + (q15_t)0x59F3, (q15_t)0x5B10, (q15_t)0x59AC, (q15_t)0x5B56, + (q15_t)0x5964, (q15_t)0x5B9D, (q15_t)0x591C, (q15_t)0x5BE3, + (q15_t)0x58D4, (q15_t)0x5C29, (q15_t)0x588B, (q15_t)0x5C6E, + (q15_t)0x5842, (q15_t)0x5CB4, (q15_t)0x57F9, (q15_t)0x5CF9, + (q15_t)0x57B0, (q15_t)0x5D3E, (q15_t)0x5767, (q15_t)0x5D83, + (q15_t)0x571D, (q15_t)0x5DC7, (q15_t)0x56D4, (q15_t)0x5E0B, + (q15_t)0x568A, (q15_t)0x5E50, (q15_t)0x5640, (q15_t)0x5E93, + (q15_t)0x55F5, (q15_t)0x5ED7, (q15_t)0x55AB, (q15_t)0x5F1A, + (q15_t)0x5560, (q15_t)0x5F5E, (q15_t)0x5515, (q15_t)0x5FA0, + (q15_t)0x54CA, (q15_t)0x5FE3, (q15_t)0x547E, (q15_t)0x6026, + (q15_t)0x5433, (q15_t)0x6068, (q15_t)0x53E7, (q15_t)0x60AA, + (q15_t)0x539B, (q15_t)0x60EC, (q15_t)0x534E, (q15_t)0x612D, + (q15_t)0x5302, (q15_t)0x616F, (q15_t)0x52B5, (q15_t)0x61B0, + (q15_t)0x5269, (q15_t)0x61F1, (q15_t)0x521C, (q15_t)0x6231, + (q15_t)0x51CE, (q15_t)0x6271, (q15_t)0x5181, (q15_t)0x62B2, + (q15_t)0x5133, (q15_t)0x62F2, (q15_t)0x50E5, (q15_t)0x6331, + (q15_t)0x5097, (q15_t)0x6371, (q15_t)0x5049, (q15_t)0x63B0, + (q15_t)0x4FFB, (q15_t)0x63EF, (q15_t)0x4FAC, (q15_t)0x642D, + (q15_t)0x4F5E, (q15_t)0x646C, (q15_t)0x4F0F, (q15_t)0x64AA, + (q15_t)0x4EBF, (q15_t)0x64E8, (q15_t)0x4E70, (q15_t)0x6526, + (q15_t)0x4E21, (q15_t)0x6563, (q15_t)0x4DD1, (q15_t)0x65A0, + (q15_t)0x4D81, (q15_t)0x65DD, (q15_t)0x4D31, (q15_t)0x661A, + (q15_t)0x4CE1, (q15_t)0x6657, (q15_t)0x4C90, (q15_t)0x6693, + (q15_t)0x4C3F, (q15_t)0x66CF, (q15_t)0x4BEF, (q15_t)0x670B, + (q15_t)0x4B9E, (q15_t)0x6746, (q15_t)0x4B4C, (q15_t)0x6782, + (q15_t)0x4AFB, (q15_t)0x67BD, (q15_t)0x4AA9, (q15_t)0x67F7, + (q15_t)0x4A58, (q15_t)0x6832, (q15_t)0x4A06, (q15_t)0x686C, + (q15_t)0x49B4, (q15_t)0x68A6, (q15_t)0x4961, (q15_t)0x68E0, + (q15_t)0x490F, (q15_t)0x6919, (q15_t)0x48BC, (q15_t)0x6953, + (q15_t)0x4869, (q15_t)0x698C, (q15_t)0x4816, (q15_t)0x69C4, + (q15_t)0x47C3, (q15_t)0x69FD, (q15_t)0x4770, (q15_t)0x6A35, + (q15_t)0x471C, (q15_t)0x6A6D, (q15_t)0x46C9, (q15_t)0x6AA5, + (q15_t)0x4675, (q15_t)0x6ADC, (q15_t)0x4621, (q15_t)0x6B13, + (q15_t)0x45CD, (q15_t)0x6B4A, (q15_t)0x4578, (q15_t)0x6B81, + (q15_t)0x4524, (q15_t)0x6BB8, (q15_t)0x44CF, (q15_t)0x6BEE, + (q15_t)0x447A, (q15_t)0x6C24, (q15_t)0x4425, (q15_t)0x6C59, + (q15_t)0x43D0, (q15_t)0x6C8F, (q15_t)0x437B, (q15_t)0x6CC4, + (q15_t)0x4325, (q15_t)0x6CF9, (q15_t)0x42D0, (q15_t)0x6D2D, + (q15_t)0x427A, (q15_t)0x6D62, (q15_t)0x4224, (q15_t)0x6D96, + (q15_t)0x41CE, (q15_t)0x6DCA, (q15_t)0x4177, (q15_t)0x6DFD, + (q15_t)0x4121, (q15_t)0x6E30, (q15_t)0x40CA, (q15_t)0x6E63, + (q15_t)0x4073, (q15_t)0x6E96, (q15_t)0x401D, (q15_t)0x6EC9, + (q15_t)0x3FC5, (q15_t)0x6EFB, (q15_t)0x3F6E, (q15_t)0x6F2D, + (q15_t)0x3F17, (q15_t)0x6F5F, (q15_t)0x3EBF, (q15_t)0x6F90, + (q15_t)0x3E68, (q15_t)0x6FC1, (q15_t)0x3E10, (q15_t)0x6FF2, + (q15_t)0x3DB8, (q15_t)0x7023, (q15_t)0x3D60, (q15_t)0x7053, + (q15_t)0x3D07, (q15_t)0x7083, (q15_t)0x3CAF, (q15_t)0x70B3, + (q15_t)0x3C56, (q15_t)0x70E2, (q15_t)0x3BFD, (q15_t)0x7112, + (q15_t)0x3BA5, (q15_t)0x7141, (q15_t)0x3B4C, (q15_t)0x716F, + (q15_t)0x3AF2, (q15_t)0x719E, (q15_t)0x3A99, (q15_t)0x71CC, + (q15_t)0x3A40, (q15_t)0x71FA, (q15_t)0x39E6, (q15_t)0x7227, + (q15_t)0x398C, (q15_t)0x7255, (q15_t)0x3932, (q15_t)0x7282, + (q15_t)0x38D8, (q15_t)0x72AF, (q15_t)0x387E, (q15_t)0x72DB, + (q15_t)0x3824, (q15_t)0x7307, (q15_t)0x37CA, (q15_t)0x7333, + (q15_t)0x376F, (q15_t)0x735F, (q15_t)0x3714, (q15_t)0x738A, + (q15_t)0x36BA, (q15_t)0x73B5, (q15_t)0x365F, (q15_t)0x73E0, + (q15_t)0x3604, (q15_t)0x740B, (q15_t)0x35A8, (q15_t)0x7435, + (q15_t)0x354D, (q15_t)0x745F, (q15_t)0x34F2, (q15_t)0x7489, + (q15_t)0x3496, (q15_t)0x74B2, (q15_t)0x343A, (q15_t)0x74DB, + (q15_t)0x33DE, (q15_t)0x7504, (q15_t)0x3382, (q15_t)0x752D, + (q15_t)0x3326, (q15_t)0x7555, (q15_t)0x32CA, (q15_t)0x757D, + (q15_t)0x326E, (q15_t)0x75A5, (q15_t)0x3211, (q15_t)0x75CC, + (q15_t)0x31B5, (q15_t)0x75F4, (q15_t)0x3158, (q15_t)0x761B, + (q15_t)0x30FB, (q15_t)0x7641, (q15_t)0x309E, (q15_t)0x7668, + (q15_t)0x3041, (q15_t)0x768E, (q15_t)0x2FE4, (q15_t)0x76B3, + (q15_t)0x2F87, (q15_t)0x76D9, (q15_t)0x2F29, (q15_t)0x76FE, + (q15_t)0x2ECC, (q15_t)0x7723, (q15_t)0x2E6E, (q15_t)0x7747, + (q15_t)0x2E11, (q15_t)0x776C, (q15_t)0x2DB3, (q15_t)0x7790, + (q15_t)0x2D55, (q15_t)0x77B4, (q15_t)0x2CF7, (q15_t)0x77D7, + (q15_t)0x2C98, (q15_t)0x77FA, (q15_t)0x2C3A, (q15_t)0x781D, + (q15_t)0x2BDC, (q15_t)0x7840, (q15_t)0x2B7D, (q15_t)0x7862, + (q15_t)0x2B1F, (q15_t)0x7884, (q15_t)0x2AC0, (q15_t)0x78A6, + (q15_t)0x2A61, (q15_t)0x78C7, (q15_t)0x2A02, (q15_t)0x78E8, + (q15_t)0x29A3, (q15_t)0x7909, (q15_t)0x2944, (q15_t)0x792A, + (q15_t)0x28E5, (q15_t)0x794A, (q15_t)0x2886, (q15_t)0x796A, + (q15_t)0x2826, (q15_t)0x798A, (q15_t)0x27C7, (q15_t)0x79A9, + (q15_t)0x2767, (q15_t)0x79C8, (q15_t)0x2707, (q15_t)0x79E7, + (q15_t)0x26A8, (q15_t)0x7A05, (q15_t)0x2648, (q15_t)0x7A24, + (q15_t)0x25E8, (q15_t)0x7A42, (q15_t)0x2588, (q15_t)0x7A5F, + (q15_t)0x2528, (q15_t)0x7A7D, (q15_t)0x24C7, (q15_t)0x7A9A, + (q15_t)0x2467, (q15_t)0x7AB6, (q15_t)0x2407, (q15_t)0x7AD3, + (q15_t)0x23A6, (q15_t)0x7AEF, (q15_t)0x2345, (q15_t)0x7B0B, + (q15_t)0x22E5, (q15_t)0x7B26, (q15_t)0x2284, (q15_t)0x7B42, + (q15_t)0x2223, (q15_t)0x7B5D, (q15_t)0x21C2, (q15_t)0x7B77, + (q15_t)0x2161, (q15_t)0x7B92, (q15_t)0x2100, (q15_t)0x7BAC, + (q15_t)0x209F, (q15_t)0x7BC5, (q15_t)0x203E, (q15_t)0x7BDF, + (q15_t)0x1FDC, (q15_t)0x7BF8, (q15_t)0x1F7B, (q15_t)0x7C11, + (q15_t)0x1F19, (q15_t)0x7C29, (q15_t)0x1EB8, (q15_t)0x7C42, + (q15_t)0x1E56, (q15_t)0x7C5A, (q15_t)0x1DF5, (q15_t)0x7C71, + (q15_t)0x1D93, (q15_t)0x7C89, (q15_t)0x1D31, (q15_t)0x7CA0, + (q15_t)0x1CCF, (q15_t)0x7CB7, (q15_t)0x1C6D, (q15_t)0x7CCD, + (q15_t)0x1C0B, (q15_t)0x7CE3, (q15_t)0x1BA9, (q15_t)0x7CF9, + (q15_t)0x1B47, (q15_t)0x7D0F, (q15_t)0x1AE4, (q15_t)0x7D24, + (q15_t)0x1A82, (q15_t)0x7D39, (q15_t)0x1A20, (q15_t)0x7D4E, + (q15_t)0x19BD, (q15_t)0x7D62, (q15_t)0x195B, (q15_t)0x7D76, + (q15_t)0x18F8, (q15_t)0x7D8A, (q15_t)0x1896, (q15_t)0x7D9D, + (q15_t)0x1833, (q15_t)0x7DB0, (q15_t)0x17D0, (q15_t)0x7DC3, + (q15_t)0x176D, (q15_t)0x7DD6, (q15_t)0x170A, (q15_t)0x7DE8, + (q15_t)0x16A8, (q15_t)0x7DFA, (q15_t)0x1645, (q15_t)0x7E0C, + (q15_t)0x15E2, (q15_t)0x7E1D, (q15_t)0x157F, (q15_t)0x7E2E, + (q15_t)0x151B, (q15_t)0x7E3F, (q15_t)0x14B8, (q15_t)0x7E4F, + (q15_t)0x1455, (q15_t)0x7E5F, (q15_t)0x13F2, (q15_t)0x7E6F, + (q15_t)0x138E, (q15_t)0x7E7F, (q15_t)0x132B, (q15_t)0x7E8E, + (q15_t)0x12C8, (q15_t)0x7E9D, (q15_t)0x1264, (q15_t)0x7EAB, + (q15_t)0x1201, (q15_t)0x7EBA, (q15_t)0x119D, (q15_t)0x7EC8, + (q15_t)0x1139, (q15_t)0x7ED5, (q15_t)0x10D6, (q15_t)0x7EE3, + (q15_t)0x1072, (q15_t)0x7EF0, (q15_t)0x100E, (q15_t)0x7EFD, + (q15_t)0x0FAB, (q15_t)0x7F09, (q15_t)0x0F47, (q15_t)0x7F15, + (q15_t)0x0EE3, (q15_t)0x7F21, (q15_t)0x0E7F, (q15_t)0x7F2D, + (q15_t)0x0E1B, (q15_t)0x7F38, (q15_t)0x0DB7, (q15_t)0x7F43, + (q15_t)0x0D53, (q15_t)0x7F4D, (q15_t)0x0CEF, (q15_t)0x7F58, + (q15_t)0x0C8B, (q15_t)0x7F62, (q15_t)0x0C27, (q15_t)0x7F6B, + (q15_t)0x0BC3, (q15_t)0x7F75, (q15_t)0x0B5F, (q15_t)0x7F7E, + (q15_t)0x0AFB, (q15_t)0x7F87, (q15_t)0x0A97, (q15_t)0x7F8F, + (q15_t)0x0A33, (q15_t)0x7F97, (q15_t)0x09CE, (q15_t)0x7F9F, + (q15_t)0x096A, (q15_t)0x7FA7, (q15_t)0x0906, (q15_t)0x7FAE, + (q15_t)0x08A2, (q15_t)0x7FB5, (q15_t)0x083D, (q15_t)0x7FBC, + (q15_t)0x07D9, (q15_t)0x7FC2, (q15_t)0x0775, (q15_t)0x7FC8, + (q15_t)0x0710, (q15_t)0x7FCE, (q15_t)0x06AC, (q15_t)0x7FD3, + (q15_t)0x0647, (q15_t)0x7FD8, (q15_t)0x05E3, (q15_t)0x7FDD, + (q15_t)0x057F, (q15_t)0x7FE1, (q15_t)0x051A, (q15_t)0x7FE5, + (q15_t)0x04B6, (q15_t)0x7FE9, (q15_t)0x0451, (q15_t)0x7FED, + (q15_t)0x03ED, (q15_t)0x7FF0, (q15_t)0x0388, (q15_t)0x7FF3, + (q15_t)0x0324, (q15_t)0x7FF6, (q15_t)0x02BF, (q15_t)0x7FF8, + (q15_t)0x025B, (q15_t)0x7FFA, (q15_t)0x01F6, (q15_t)0x7FFC, + (q15_t)0x0192, (q15_t)0x7FFD, (q15_t)0x012D, (q15_t)0x7FFE, + (q15_t)0x00C9, (q15_t)0x7FFF, (q15_t)0x0064, (q15_t)0x7FFF, + (q15_t)0x0000, (q15_t)0x7FFF, (q15_t)0xFF9B, (q15_t)0x7FFF, + (q15_t)0xFF36, (q15_t)0x7FFF, (q15_t)0xFED2, (q15_t)0x7FFE, + (q15_t)0xFE6D, (q15_t)0x7FFD, (q15_t)0xFE09, (q15_t)0x7FFC, + (q15_t)0xFDA4, (q15_t)0x7FFA, (q15_t)0xFD40, (q15_t)0x7FF8, + (q15_t)0xFCDB, (q15_t)0x7FF6, (q15_t)0xFC77, (q15_t)0x7FF3, + (q15_t)0xFC12, (q15_t)0x7FF0, (q15_t)0xFBAE, (q15_t)0x7FED, + (q15_t)0xFB49, (q15_t)0x7FE9, (q15_t)0xFAE5, (q15_t)0x7FE5, + (q15_t)0xFA80, (q15_t)0x7FE1, (q15_t)0xFA1C, (q15_t)0x7FDD, + (q15_t)0xF9B8, (q15_t)0x7FD8, (q15_t)0xF953, (q15_t)0x7FD3, + (q15_t)0xF8EF, (q15_t)0x7FCE, (q15_t)0xF88A, (q15_t)0x7FC8, + (q15_t)0xF826, (q15_t)0x7FC2, (q15_t)0xF7C2, (q15_t)0x7FBC, + (q15_t)0xF75D, (q15_t)0x7FB5, (q15_t)0xF6F9, (q15_t)0x7FAE, + (q15_t)0xF695, (q15_t)0x7FA7, (q15_t)0xF631, (q15_t)0x7F9F, + (q15_t)0xF5CC, (q15_t)0x7F97, (q15_t)0xF568, (q15_t)0x7F8F, + (q15_t)0xF504, (q15_t)0x7F87, (q15_t)0xF4A0, (q15_t)0x7F7E, + (q15_t)0xF43C, (q15_t)0x7F75, (q15_t)0xF3D8, (q15_t)0x7F6B, + (q15_t)0xF374, (q15_t)0x7F62, (q15_t)0xF310, (q15_t)0x7F58, + (q15_t)0xF2AC, (q15_t)0x7F4D, (q15_t)0xF248, (q15_t)0x7F43, + (q15_t)0xF1E4, (q15_t)0x7F38, (q15_t)0xF180, (q15_t)0x7F2D, + (q15_t)0xF11C, (q15_t)0x7F21, (q15_t)0xF0B8, (q15_t)0x7F15, + (q15_t)0xF054, (q15_t)0x7F09, (q15_t)0xEFF1, (q15_t)0x7EFD, + (q15_t)0xEF8D, (q15_t)0x7EF0, (q15_t)0xEF29, (q15_t)0x7EE3, + (q15_t)0xEEC6, (q15_t)0x7ED5, (q15_t)0xEE62, (q15_t)0x7EC8, + (q15_t)0xEDFE, (q15_t)0x7EBA, (q15_t)0xED9B, (q15_t)0x7EAB, + (q15_t)0xED37, (q15_t)0x7E9D, (q15_t)0xECD4, (q15_t)0x7E8E, + (q15_t)0xEC71, (q15_t)0x7E7F, (q15_t)0xEC0D, (q15_t)0x7E6F, + (q15_t)0xEBAA, (q15_t)0x7E5F, (q15_t)0xEB47, (q15_t)0x7E4F, + (q15_t)0xEAE4, (q15_t)0x7E3F, (q15_t)0xEA80, (q15_t)0x7E2E, + (q15_t)0xEA1D, (q15_t)0x7E1D, (q15_t)0xE9BA, (q15_t)0x7E0C, + (q15_t)0xE957, (q15_t)0x7DFA, (q15_t)0xE8F5, (q15_t)0x7DE8, + (q15_t)0xE892, (q15_t)0x7DD6, (q15_t)0xE82F, (q15_t)0x7DC3, + (q15_t)0xE7CC, (q15_t)0x7DB0, (q15_t)0xE769, (q15_t)0x7D9D, + (q15_t)0xE707, (q15_t)0x7D8A, (q15_t)0xE6A4, (q15_t)0x7D76, + (q15_t)0xE642, (q15_t)0x7D62, (q15_t)0xE5DF, (q15_t)0x7D4E, + (q15_t)0xE57D, (q15_t)0x7D39, (q15_t)0xE51B, (q15_t)0x7D24, + (q15_t)0xE4B8, (q15_t)0x7D0F, (q15_t)0xE456, (q15_t)0x7CF9, + (q15_t)0xE3F4, (q15_t)0x7CE3, (q15_t)0xE392, (q15_t)0x7CCD, + (q15_t)0xE330, (q15_t)0x7CB7, (q15_t)0xE2CE, (q15_t)0x7CA0, + (q15_t)0xE26C, (q15_t)0x7C89, (q15_t)0xE20A, (q15_t)0x7C71, + (q15_t)0xE1A9, (q15_t)0x7C5A, (q15_t)0xE147, (q15_t)0x7C42, + (q15_t)0xE0E6, (q15_t)0x7C29, (q15_t)0xE084, (q15_t)0x7C11, + (q15_t)0xE023, (q15_t)0x7BF8, (q15_t)0xDFC1, (q15_t)0x7BDF, + (q15_t)0xDF60, (q15_t)0x7BC5, (q15_t)0xDEFF, (q15_t)0x7BAC, + (q15_t)0xDE9E, (q15_t)0x7B92, (q15_t)0xDE3D, (q15_t)0x7B77, + (q15_t)0xDDDC, (q15_t)0x7B5D, (q15_t)0xDD7B, (q15_t)0x7B42, + (q15_t)0xDD1A, (q15_t)0x7B26, (q15_t)0xDCBA, (q15_t)0x7B0B, + (q15_t)0xDC59, (q15_t)0x7AEF, (q15_t)0xDBF8, (q15_t)0x7AD3, + (q15_t)0xDB98, (q15_t)0x7AB6, (q15_t)0xDB38, (q15_t)0x7A9A, + (q15_t)0xDAD7, (q15_t)0x7A7D, (q15_t)0xDA77, (q15_t)0x7A5F, + (q15_t)0xDA17, (q15_t)0x7A42, (q15_t)0xD9B7, (q15_t)0x7A24, + (q15_t)0xD957, (q15_t)0x7A05, (q15_t)0xD8F8, (q15_t)0x79E7, + (q15_t)0xD898, (q15_t)0x79C8, (q15_t)0xD838, (q15_t)0x79A9, + (q15_t)0xD7D9, (q15_t)0x798A, (q15_t)0xD779, (q15_t)0x796A, + (q15_t)0xD71A, (q15_t)0x794A, (q15_t)0xD6BB, (q15_t)0x792A, + (q15_t)0xD65C, (q15_t)0x7909, (q15_t)0xD5FD, (q15_t)0x78E8, + (q15_t)0xD59E, (q15_t)0x78C7, (q15_t)0xD53F, (q15_t)0x78A6, + (q15_t)0xD4E0, (q15_t)0x7884, (q15_t)0xD482, (q15_t)0x7862, + (q15_t)0xD423, (q15_t)0x7840, (q15_t)0xD3C5, (q15_t)0x781D, + (q15_t)0xD367, (q15_t)0x77FA, (q15_t)0xD308, (q15_t)0x77D7, + (q15_t)0xD2AA, (q15_t)0x77B4, (q15_t)0xD24C, (q15_t)0x7790, + (q15_t)0xD1EE, (q15_t)0x776C, (q15_t)0xD191, (q15_t)0x7747, + (q15_t)0xD133, (q15_t)0x7723, (q15_t)0xD0D6, (q15_t)0x76FE, + (q15_t)0xD078, (q15_t)0x76D9, (q15_t)0xD01B, (q15_t)0x76B3, + (q15_t)0xCFBE, (q15_t)0x768E, (q15_t)0xCF61, (q15_t)0x7668, + (q15_t)0xCF04, (q15_t)0x7641, (q15_t)0xCEA7, (q15_t)0x761B, + (q15_t)0xCE4A, (q15_t)0x75F4, (q15_t)0xCDEE, (q15_t)0x75CC, + (q15_t)0xCD91, (q15_t)0x75A5, (q15_t)0xCD35, (q15_t)0x757D, + (q15_t)0xCCD9, (q15_t)0x7555, (q15_t)0xCC7D, (q15_t)0x752D, + (q15_t)0xCC21, (q15_t)0x7504, (q15_t)0xCBC5, (q15_t)0x74DB, + (q15_t)0xCB69, (q15_t)0x74B2, (q15_t)0xCB0D, (q15_t)0x7489, + (q15_t)0xCAB2, (q15_t)0x745F, (q15_t)0xCA57, (q15_t)0x7435, + (q15_t)0xC9FB, (q15_t)0x740B, (q15_t)0xC9A0, (q15_t)0x73E0, + (q15_t)0xC945, (q15_t)0x73B5, (q15_t)0xC8EB, (q15_t)0x738A, + (q15_t)0xC890, (q15_t)0x735F, (q15_t)0xC835, (q15_t)0x7333, + (q15_t)0xC7DB, (q15_t)0x7307, (q15_t)0xC781, (q15_t)0x72DB, + (q15_t)0xC727, (q15_t)0x72AF, (q15_t)0xC6CD, (q15_t)0x7282, + (q15_t)0xC673, (q15_t)0x7255, (q15_t)0xC619, (q15_t)0x7227, + (q15_t)0xC5BF, (q15_t)0x71FA, (q15_t)0xC566, (q15_t)0x71CC, + (q15_t)0xC50D, (q15_t)0x719E, (q15_t)0xC4B3, (q15_t)0x716F, + (q15_t)0xC45A, (q15_t)0x7141, (q15_t)0xC402, (q15_t)0x7112, + (q15_t)0xC3A9, (q15_t)0x70E2, (q15_t)0xC350, (q15_t)0x70B3, + (q15_t)0xC2F8, (q15_t)0x7083, (q15_t)0xC29F, (q15_t)0x7053, + (q15_t)0xC247, (q15_t)0x7023, (q15_t)0xC1EF, (q15_t)0x6FF2, + (q15_t)0xC197, (q15_t)0x6FC1, (q15_t)0xC140, (q15_t)0x6F90, + (q15_t)0xC0E8, (q15_t)0x6F5F, (q15_t)0xC091, (q15_t)0x6F2D, + (q15_t)0xC03A, (q15_t)0x6EFB, (q15_t)0xBFE2, (q15_t)0x6EC9, + (q15_t)0xBF8C, (q15_t)0x6E96, (q15_t)0xBF35, (q15_t)0x6E63, + (q15_t)0xBEDE, (q15_t)0x6E30, (q15_t)0xBE88, (q15_t)0x6DFD, + (q15_t)0xBE31, (q15_t)0x6DCA, (q15_t)0xBDDB, (q15_t)0x6D96, + (q15_t)0xBD85, (q15_t)0x6D62, (q15_t)0xBD2F, (q15_t)0x6D2D, + (q15_t)0xBCDA, (q15_t)0x6CF9, (q15_t)0xBC84, (q15_t)0x6CC4, + (q15_t)0xBC2F, (q15_t)0x6C8F, (q15_t)0xBBDA, (q15_t)0x6C59, + (q15_t)0xBB85, (q15_t)0x6C24, (q15_t)0xBB30, (q15_t)0x6BEE, + (q15_t)0xBADB, (q15_t)0x6BB8, (q15_t)0xBA87, (q15_t)0x6B81, + (q15_t)0xBA32, (q15_t)0x6B4A, (q15_t)0xB9DE, (q15_t)0x6B13, + (q15_t)0xB98A, (q15_t)0x6ADC, (q15_t)0xB936, (q15_t)0x6AA5, + (q15_t)0xB8E3, (q15_t)0x6A6D, (q15_t)0xB88F, (q15_t)0x6A35, + (q15_t)0xB83C, (q15_t)0x69FD, (q15_t)0xB7E9, (q15_t)0x69C4, + (q15_t)0xB796, (q15_t)0x698C, (q15_t)0xB743, (q15_t)0x6953, + (q15_t)0xB6F0, (q15_t)0x6919, (q15_t)0xB69E, (q15_t)0x68E0, + (q15_t)0xB64B, (q15_t)0x68A6, (q15_t)0xB5F9, (q15_t)0x686C, + (q15_t)0xB5A7, (q15_t)0x6832, (q15_t)0xB556, (q15_t)0x67F7, + (q15_t)0xB504, (q15_t)0x67BD, (q15_t)0xB4B3, (q15_t)0x6782, + (q15_t)0xB461, (q15_t)0x6746, (q15_t)0xB410, (q15_t)0x670B, + (q15_t)0xB3C0, (q15_t)0x66CF, (q15_t)0xB36F, (q15_t)0x6693, + (q15_t)0xB31E, (q15_t)0x6657, (q15_t)0xB2CE, (q15_t)0x661A, + (q15_t)0xB27E, (q15_t)0x65DD, (q15_t)0xB22E, (q15_t)0x65A0, + (q15_t)0xB1DE, (q15_t)0x6563, (q15_t)0xB18F, (q15_t)0x6526, + (q15_t)0xB140, (q15_t)0x64E8, (q15_t)0xB0F0, (q15_t)0x64AA, + (q15_t)0xB0A1, (q15_t)0x646C, (q15_t)0xB053, (q15_t)0x642D, + (q15_t)0xB004, (q15_t)0x63EF, (q15_t)0xAFB6, (q15_t)0x63B0, + (q15_t)0xAF68, (q15_t)0x6371, (q15_t)0xAF1A, (q15_t)0x6331, + (q15_t)0xAECC, (q15_t)0x62F2, (q15_t)0xAE7E, (q15_t)0x62B2, + (q15_t)0xAE31, (q15_t)0x6271, (q15_t)0xADE3, (q15_t)0x6231, + (q15_t)0xAD96, (q15_t)0x61F1, (q15_t)0xAD4A, (q15_t)0x61B0, + (q15_t)0xACFD, (q15_t)0x616F, (q15_t)0xACB1, (q15_t)0x612D, + (q15_t)0xAC64, (q15_t)0x60EC, (q15_t)0xAC18, (q15_t)0x60AA, + (q15_t)0xABCC, (q15_t)0x6068, (q15_t)0xAB81, (q15_t)0x6026, + (q15_t)0xAB35, (q15_t)0x5FE3, (q15_t)0xAAEA, (q15_t)0x5FA0, + (q15_t)0xAA9F, (q15_t)0x5F5E, (q15_t)0xAA54, (q15_t)0x5F1A, + (q15_t)0xAA0A, (q15_t)0x5ED7, (q15_t)0xA9BF, (q15_t)0x5E93, + (q15_t)0xA975, (q15_t)0x5E50, (q15_t)0xA92B, (q15_t)0x5E0B, + (q15_t)0xA8E2, (q15_t)0x5DC7, (q15_t)0xA898, (q15_t)0x5D83, + (q15_t)0xA84F, (q15_t)0x5D3E, (q15_t)0xA806, (q15_t)0x5CF9, + (q15_t)0xA7BD, (q15_t)0x5CB4, (q15_t)0xA774, (q15_t)0x5C6E, + (q15_t)0xA72B, (q15_t)0x5C29, (q15_t)0xA6E3, (q15_t)0x5BE3, + (q15_t)0xA69B, (q15_t)0x5B9D, (q15_t)0xA653, (q15_t)0x5B56, + (q15_t)0xA60C, (q15_t)0x5B10, (q15_t)0xA5C4, (q15_t)0x5AC9, + (q15_t)0xA57D, (q15_t)0x5A82, (q15_t)0xA536, (q15_t)0x5A3B, + (q15_t)0xA4EF, (q15_t)0x59F3, (q15_t)0xA4A9, (q15_t)0x59AC, + (q15_t)0xA462, (q15_t)0x5964, (q15_t)0xA41C, (q15_t)0x591C, + (q15_t)0xA3D6, (q15_t)0x58D4, (q15_t)0xA391, (q15_t)0x588B, + (q15_t)0xA34B, (q15_t)0x5842, (q15_t)0xA306, (q15_t)0x57F9, + (q15_t)0xA2C1, (q15_t)0x57B0, (q15_t)0xA27C, (q15_t)0x5767, + (q15_t)0xA238, (q15_t)0x571D, (q15_t)0xA1F4, (q15_t)0x56D4, + (q15_t)0xA1AF, (q15_t)0x568A, (q15_t)0xA16C, (q15_t)0x5640, + (q15_t)0xA128, (q15_t)0x55F5, (q15_t)0xA0E5, (q15_t)0x55AB, + (q15_t)0xA0A1, (q15_t)0x5560, (q15_t)0xA05F, (q15_t)0x5515, + (q15_t)0xA01C, (q15_t)0x54CA, (q15_t)0x9FD9, (q15_t)0x547E, + (q15_t)0x9F97, (q15_t)0x5433, (q15_t)0x9F55, (q15_t)0x53E7, + (q15_t)0x9F13, (q15_t)0x539B, (q15_t)0x9ED2, (q15_t)0x534E, + (q15_t)0x9E90, (q15_t)0x5302, (q15_t)0x9E4F, (q15_t)0x52B5, + (q15_t)0x9E0E, (q15_t)0x5269, (q15_t)0x9DCE, (q15_t)0x521C, + (q15_t)0x9D8E, (q15_t)0x51CE, (q15_t)0x9D4D, (q15_t)0x5181, + (q15_t)0x9D0D, (q15_t)0x5133, (q15_t)0x9CCE, (q15_t)0x50E5, + (q15_t)0x9C8E, (q15_t)0x5097, (q15_t)0x9C4F, (q15_t)0x5049, + (q15_t)0x9C10, (q15_t)0x4FFB, (q15_t)0x9BD2, (q15_t)0x4FAC, + (q15_t)0x9B93, (q15_t)0x4F5E, (q15_t)0x9B55, (q15_t)0x4F0F, + (q15_t)0x9B17, (q15_t)0x4EBF, (q15_t)0x9AD9, (q15_t)0x4E70, + (q15_t)0x9A9C, (q15_t)0x4E21, (q15_t)0x9A5F, (q15_t)0x4DD1, + (q15_t)0x9A22, (q15_t)0x4D81, (q15_t)0x99E5, (q15_t)0x4D31, + (q15_t)0x99A8, (q15_t)0x4CE1, (q15_t)0x996C, (q15_t)0x4C90, + (q15_t)0x9930, (q15_t)0x4C3F, (q15_t)0x98F4, (q15_t)0x4BEF, + (q15_t)0x98B9, (q15_t)0x4B9E, (q15_t)0x987D, (q15_t)0x4B4C, + (q15_t)0x9842, (q15_t)0x4AFB, (q15_t)0x9808, (q15_t)0x4AA9, + (q15_t)0x97CD, (q15_t)0x4A58, (q15_t)0x9793, (q15_t)0x4A06, + (q15_t)0x9759, (q15_t)0x49B4, (q15_t)0x971F, (q15_t)0x4961, + (q15_t)0x96E6, (q15_t)0x490F, (q15_t)0x96AC, (q15_t)0x48BC, + (q15_t)0x9673, (q15_t)0x4869, (q15_t)0x963B, (q15_t)0x4816, + (q15_t)0x9602, (q15_t)0x47C3, (q15_t)0x95CA, (q15_t)0x4770, + (q15_t)0x9592, (q15_t)0x471C, (q15_t)0x955A, (q15_t)0x46C9, + (q15_t)0x9523, (q15_t)0x4675, (q15_t)0x94EC, (q15_t)0x4621, + (q15_t)0x94B5, (q15_t)0x45CD, (q15_t)0x947E, (q15_t)0x4578, + (q15_t)0x9447, (q15_t)0x4524, (q15_t)0x9411, (q15_t)0x44CF, + (q15_t)0x93DB, (q15_t)0x447A, (q15_t)0x93A6, (q15_t)0x4425, + (q15_t)0x9370, (q15_t)0x43D0, (q15_t)0x933B, (q15_t)0x437B, + (q15_t)0x9306, (q15_t)0x4325, (q15_t)0x92D2, (q15_t)0x42D0, + (q15_t)0x929D, (q15_t)0x427A, (q15_t)0x9269, (q15_t)0x4224, + (q15_t)0x9235, (q15_t)0x41CE, (q15_t)0x9202, (q15_t)0x4177, + (q15_t)0x91CF, (q15_t)0x4121, (q15_t)0x919C, (q15_t)0x40CA, + (q15_t)0x9169, (q15_t)0x4073, (q15_t)0x9136, (q15_t)0x401D, + (q15_t)0x9104, (q15_t)0x3FC5, (q15_t)0x90D2, (q15_t)0x3F6E, + (q15_t)0x90A0, (q15_t)0x3F17, (q15_t)0x906F, (q15_t)0x3EBF, + (q15_t)0x903E, (q15_t)0x3E68, (q15_t)0x900D, (q15_t)0x3E10, + (q15_t)0x8FDC, (q15_t)0x3DB8, (q15_t)0x8FAC, (q15_t)0x3D60, + (q15_t)0x8F7C, (q15_t)0x3D07, (q15_t)0x8F4C, (q15_t)0x3CAF, + (q15_t)0x8F1D, (q15_t)0x3C56, (q15_t)0x8EED, (q15_t)0x3BFD, + (q15_t)0x8EBE, (q15_t)0x3BA5, (q15_t)0x8E90, (q15_t)0x3B4C, + (q15_t)0x8E61, (q15_t)0x3AF2, (q15_t)0x8E33, (q15_t)0x3A99, + (q15_t)0x8E05, (q15_t)0x3A40, (q15_t)0x8DD8, (q15_t)0x39E6, + (q15_t)0x8DAA, (q15_t)0x398C, (q15_t)0x8D7D, (q15_t)0x3932, + (q15_t)0x8D50, (q15_t)0x38D8, (q15_t)0x8D24, (q15_t)0x387E, + (q15_t)0x8CF8, (q15_t)0x3824, (q15_t)0x8CCC, (q15_t)0x37CA, + (q15_t)0x8CA0, (q15_t)0x376F, (q15_t)0x8C75, (q15_t)0x3714, + (q15_t)0x8C4A, (q15_t)0x36BA, (q15_t)0x8C1F, (q15_t)0x365F, + (q15_t)0x8BF4, (q15_t)0x3604, (q15_t)0x8BCA, (q15_t)0x35A8, + (q15_t)0x8BA0, (q15_t)0x354D, (q15_t)0x8B76, (q15_t)0x34F2, + (q15_t)0x8B4D, (q15_t)0x3496, (q15_t)0x8B24, (q15_t)0x343A, + (q15_t)0x8AFB, (q15_t)0x33DE, (q15_t)0x8AD2, (q15_t)0x3382, + (q15_t)0x8AAA, (q15_t)0x3326, (q15_t)0x8A82, (q15_t)0x32CA, + (q15_t)0x8A5A, (q15_t)0x326E, (q15_t)0x8A33, (q15_t)0x3211, + (q15_t)0x8A0B, (q15_t)0x31B5, (q15_t)0x89E4, (q15_t)0x3158, + (q15_t)0x89BE, (q15_t)0x30FB, (q15_t)0x8997, (q15_t)0x309E, + (q15_t)0x8971, (q15_t)0x3041, (q15_t)0x894C, (q15_t)0x2FE4, + (q15_t)0x8926, (q15_t)0x2F87, (q15_t)0x8901, (q15_t)0x2F29, + (q15_t)0x88DC, (q15_t)0x2ECC, (q15_t)0x88B8, (q15_t)0x2E6E, + (q15_t)0x8893, (q15_t)0x2E11, (q15_t)0x886F, (q15_t)0x2DB3, + (q15_t)0x884B, (q15_t)0x2D55, (q15_t)0x8828, (q15_t)0x2CF7, + (q15_t)0x8805, (q15_t)0x2C98, (q15_t)0x87E2, (q15_t)0x2C3A, + (q15_t)0x87BF, (q15_t)0x2BDC, (q15_t)0x879D, (q15_t)0x2B7D, + (q15_t)0x877B, (q15_t)0x2B1F, (q15_t)0x8759, (q15_t)0x2AC0, + (q15_t)0x8738, (q15_t)0x2A61, (q15_t)0x8717, (q15_t)0x2A02, + (q15_t)0x86F6, (q15_t)0x29A3, (q15_t)0x86D5, (q15_t)0x2944, + (q15_t)0x86B5, (q15_t)0x28E5, (q15_t)0x8695, (q15_t)0x2886, + (q15_t)0x8675, (q15_t)0x2826, (q15_t)0x8656, (q15_t)0x27C7, + (q15_t)0x8637, (q15_t)0x2767, (q15_t)0x8618, (q15_t)0x2707, + (q15_t)0x85FA, (q15_t)0x26A8, (q15_t)0x85DB, (q15_t)0x2648, + (q15_t)0x85BD, (q15_t)0x25E8, (q15_t)0x85A0, (q15_t)0x2588, + (q15_t)0x8582, (q15_t)0x2528, (q15_t)0x8565, (q15_t)0x24C7, + (q15_t)0x8549, (q15_t)0x2467, (q15_t)0x852C, (q15_t)0x2407, + (q15_t)0x8510, (q15_t)0x23A6, (q15_t)0x84F4, (q15_t)0x2345, + (q15_t)0x84D9, (q15_t)0x22E5, (q15_t)0x84BD, (q15_t)0x2284, + (q15_t)0x84A2, (q15_t)0x2223, (q15_t)0x8488, (q15_t)0x21C2, + (q15_t)0x846D, (q15_t)0x2161, (q15_t)0x8453, (q15_t)0x2100, + (q15_t)0x843A, (q15_t)0x209F, (q15_t)0x8420, (q15_t)0x203E, + (q15_t)0x8407, (q15_t)0x1FDC, (q15_t)0x83EE, (q15_t)0x1F7B, + (q15_t)0x83D6, (q15_t)0x1F19, (q15_t)0x83BD, (q15_t)0x1EB8, + (q15_t)0x83A5, (q15_t)0x1E56, (q15_t)0x838E, (q15_t)0x1DF5, + (q15_t)0x8376, (q15_t)0x1D93, (q15_t)0x835F, (q15_t)0x1D31, + (q15_t)0x8348, (q15_t)0x1CCF, (q15_t)0x8332, (q15_t)0x1C6D, + (q15_t)0x831C, (q15_t)0x1C0B, (q15_t)0x8306, (q15_t)0x1BA9, + (q15_t)0x82F0, (q15_t)0x1B47, (q15_t)0x82DB, (q15_t)0x1AE4, + (q15_t)0x82C6, (q15_t)0x1A82, (q15_t)0x82B1, (q15_t)0x1A20, + (q15_t)0x829D, (q15_t)0x19BD, (q15_t)0x8289, (q15_t)0x195B, + (q15_t)0x8275, (q15_t)0x18F8, (q15_t)0x8262, (q15_t)0x1896, + (q15_t)0x824F, (q15_t)0x1833, (q15_t)0x823C, (q15_t)0x17D0, + (q15_t)0x8229, (q15_t)0x176D, (q15_t)0x8217, (q15_t)0x170A, + (q15_t)0x8205, (q15_t)0x16A8, (q15_t)0x81F3, (q15_t)0x1645, + (q15_t)0x81E2, (q15_t)0x15E2, (q15_t)0x81D1, (q15_t)0x157F, + (q15_t)0x81C0, (q15_t)0x151B, (q15_t)0x81B0, (q15_t)0x14B8, + (q15_t)0x81A0, (q15_t)0x1455, (q15_t)0x8190, (q15_t)0x13F2, + (q15_t)0x8180, (q15_t)0x138E, (q15_t)0x8171, (q15_t)0x132B, + (q15_t)0x8162, (q15_t)0x12C8, (q15_t)0x8154, (q15_t)0x1264, + (q15_t)0x8145, (q15_t)0x1201, (q15_t)0x8137, (q15_t)0x119D, + (q15_t)0x812A, (q15_t)0x1139, (q15_t)0x811C, (q15_t)0x10D6, + (q15_t)0x810F, (q15_t)0x1072, (q15_t)0x8102, (q15_t)0x100E, + (q15_t)0x80F6, (q15_t)0x0FAB, (q15_t)0x80EA, (q15_t)0x0F47, + (q15_t)0x80DE, (q15_t)0x0EE3, (q15_t)0x80D2, (q15_t)0x0E7F, + (q15_t)0x80C7, (q15_t)0x0E1B, (q15_t)0x80BC, (q15_t)0x0DB7, + (q15_t)0x80B2, (q15_t)0x0D53, (q15_t)0x80A7, (q15_t)0x0CEF, + (q15_t)0x809D, (q15_t)0x0C8B, (q15_t)0x8094, (q15_t)0x0C27, + (q15_t)0x808A, (q15_t)0x0BC3, (q15_t)0x8081, (q15_t)0x0B5F, + (q15_t)0x8078, (q15_t)0x0AFB, (q15_t)0x8070, (q15_t)0x0A97, + (q15_t)0x8068, (q15_t)0x0A33, (q15_t)0x8060, (q15_t)0x09CE, + (q15_t)0x8058, (q15_t)0x096A, (q15_t)0x8051, (q15_t)0x0906, + (q15_t)0x804A, (q15_t)0x08A2, (q15_t)0x8043, (q15_t)0x083D, + (q15_t)0x803D, (q15_t)0x07D9, (q15_t)0x8037, (q15_t)0x0775, + (q15_t)0x8031, (q15_t)0x0710, (q15_t)0x802C, (q15_t)0x06AC, + (q15_t)0x8027, (q15_t)0x0647, (q15_t)0x8022, (q15_t)0x05E3, + (q15_t)0x801E, (q15_t)0x057F, (q15_t)0x801A, (q15_t)0x051A, + (q15_t)0x8016, (q15_t)0x04B6, (q15_t)0x8012, (q15_t)0x0451, + (q15_t)0x800F, (q15_t)0x03ED, (q15_t)0x800C, (q15_t)0x0388, + (q15_t)0x8009, (q15_t)0x0324, (q15_t)0x8007, (q15_t)0x02BF, + (q15_t)0x8005, (q15_t)0x025B, (q15_t)0x8003, (q15_t)0x01F6, + (q15_t)0x8002, (q15_t)0x0192, (q15_t)0x8001, (q15_t)0x012D, + (q15_t)0x8000, (q15_t)0x00C9, (q15_t)0x8000, (q15_t)0x0064, + (q15_t)0x8000, (q15_t)0x0000, (q15_t)0x8000, (q15_t)0xFF9B, + (q15_t)0x8000, (q15_t)0xFF36, (q15_t)0x8001, (q15_t)0xFED2, + (q15_t)0x8002, (q15_t)0xFE6D, (q15_t)0x8003, (q15_t)0xFE09, + (q15_t)0x8005, (q15_t)0xFDA4, (q15_t)0x8007, (q15_t)0xFD40, + (q15_t)0x8009, (q15_t)0xFCDB, (q15_t)0x800C, (q15_t)0xFC77, + (q15_t)0x800F, (q15_t)0xFC12, (q15_t)0x8012, (q15_t)0xFBAE, + (q15_t)0x8016, (q15_t)0xFB49, (q15_t)0x801A, (q15_t)0xFAE5, + (q15_t)0x801E, (q15_t)0xFA80, (q15_t)0x8022, (q15_t)0xFA1C, + (q15_t)0x8027, (q15_t)0xF9B8, (q15_t)0x802C, (q15_t)0xF953, + (q15_t)0x8031, (q15_t)0xF8EF, (q15_t)0x8037, (q15_t)0xF88A, + (q15_t)0x803D, (q15_t)0xF826, (q15_t)0x8043, (q15_t)0xF7C2, + (q15_t)0x804A, (q15_t)0xF75D, (q15_t)0x8051, (q15_t)0xF6F9, + (q15_t)0x8058, (q15_t)0xF695, (q15_t)0x8060, (q15_t)0xF631, + (q15_t)0x8068, (q15_t)0xF5CC, (q15_t)0x8070, (q15_t)0xF568, + (q15_t)0x8078, (q15_t)0xF504, (q15_t)0x8081, (q15_t)0xF4A0, + (q15_t)0x808A, (q15_t)0xF43C, (q15_t)0x8094, (q15_t)0xF3D8, + (q15_t)0x809D, (q15_t)0xF374, (q15_t)0x80A7, (q15_t)0xF310, + (q15_t)0x80B2, (q15_t)0xF2AC, (q15_t)0x80BC, (q15_t)0xF248, + (q15_t)0x80C7, (q15_t)0xF1E4, (q15_t)0x80D2, (q15_t)0xF180, + (q15_t)0x80DE, (q15_t)0xF11C, (q15_t)0x80EA, (q15_t)0xF0B8, + (q15_t)0x80F6, (q15_t)0xF054, (q15_t)0x8102, (q15_t)0xEFF1, + (q15_t)0x810F, (q15_t)0xEF8D, (q15_t)0x811C, (q15_t)0xEF29, + (q15_t)0x812A, (q15_t)0xEEC6, (q15_t)0x8137, (q15_t)0xEE62, + (q15_t)0x8145, (q15_t)0xEDFE, (q15_t)0x8154, (q15_t)0xED9B, + (q15_t)0x8162, (q15_t)0xED37, (q15_t)0x8171, (q15_t)0xECD4, + (q15_t)0x8180, (q15_t)0xEC71, (q15_t)0x8190, (q15_t)0xEC0D, + (q15_t)0x81A0, (q15_t)0xEBAA, (q15_t)0x81B0, (q15_t)0xEB47, + (q15_t)0x81C0, (q15_t)0xEAE4, (q15_t)0x81D1, (q15_t)0xEA80, + (q15_t)0x81E2, (q15_t)0xEA1D, (q15_t)0x81F3, (q15_t)0xE9BA, + (q15_t)0x8205, (q15_t)0xE957, (q15_t)0x8217, (q15_t)0xE8F5, + (q15_t)0x8229, (q15_t)0xE892, (q15_t)0x823C, (q15_t)0xE82F, + (q15_t)0x824F, (q15_t)0xE7CC, (q15_t)0x8262, (q15_t)0xE769, + (q15_t)0x8275, (q15_t)0xE707, (q15_t)0x8289, (q15_t)0xE6A4, + (q15_t)0x829D, (q15_t)0xE642, (q15_t)0x82B1, (q15_t)0xE5DF, + (q15_t)0x82C6, (q15_t)0xE57D, (q15_t)0x82DB, (q15_t)0xE51B, + (q15_t)0x82F0, (q15_t)0xE4B8, (q15_t)0x8306, (q15_t)0xE456, + (q15_t)0x831C, (q15_t)0xE3F4, (q15_t)0x8332, (q15_t)0xE392, + (q15_t)0x8348, (q15_t)0xE330, (q15_t)0x835F, (q15_t)0xE2CE, + (q15_t)0x8376, (q15_t)0xE26C, (q15_t)0x838E, (q15_t)0xE20A, + (q15_t)0x83A5, (q15_t)0xE1A9, (q15_t)0x83BD, (q15_t)0xE147, + (q15_t)0x83D6, (q15_t)0xE0E6, (q15_t)0x83EE, (q15_t)0xE084, + (q15_t)0x8407, (q15_t)0xE023, (q15_t)0x8420, (q15_t)0xDFC1, + (q15_t)0x843A, (q15_t)0xDF60, (q15_t)0x8453, (q15_t)0xDEFF, + (q15_t)0x846D, (q15_t)0xDE9E, (q15_t)0x8488, (q15_t)0xDE3D, + (q15_t)0x84A2, (q15_t)0xDDDC, (q15_t)0x84BD, (q15_t)0xDD7B, + (q15_t)0x84D9, (q15_t)0xDD1A, (q15_t)0x84F4, (q15_t)0xDCBA, + (q15_t)0x8510, (q15_t)0xDC59, (q15_t)0x852C, (q15_t)0xDBF8, + (q15_t)0x8549, (q15_t)0xDB98, (q15_t)0x8565, (q15_t)0xDB38, + (q15_t)0x8582, (q15_t)0xDAD7, (q15_t)0x85A0, (q15_t)0xDA77, + (q15_t)0x85BD, (q15_t)0xDA17, (q15_t)0x85DB, (q15_t)0xD9B7, + (q15_t)0x85FA, (q15_t)0xD957, (q15_t)0x8618, (q15_t)0xD8F8, + (q15_t)0x8637, (q15_t)0xD898, (q15_t)0x8656, (q15_t)0xD838, + (q15_t)0x8675, (q15_t)0xD7D9, (q15_t)0x8695, (q15_t)0xD779, + (q15_t)0x86B5, (q15_t)0xD71A, (q15_t)0x86D5, (q15_t)0xD6BB, + (q15_t)0x86F6, (q15_t)0xD65C, (q15_t)0x8717, (q15_t)0xD5FD, + (q15_t)0x8738, (q15_t)0xD59E, (q15_t)0x8759, (q15_t)0xD53F, + (q15_t)0x877B, (q15_t)0xD4E0, (q15_t)0x879D, (q15_t)0xD482, + (q15_t)0x87BF, (q15_t)0xD423, (q15_t)0x87E2, (q15_t)0xD3C5, + (q15_t)0x8805, (q15_t)0xD367, (q15_t)0x8828, (q15_t)0xD308, + (q15_t)0x884B, (q15_t)0xD2AA, (q15_t)0x886F, (q15_t)0xD24C, + (q15_t)0x8893, (q15_t)0xD1EE, (q15_t)0x88B8, (q15_t)0xD191, + (q15_t)0x88DC, (q15_t)0xD133, (q15_t)0x8901, (q15_t)0xD0D6, + (q15_t)0x8926, (q15_t)0xD078, (q15_t)0x894C, (q15_t)0xD01B, + (q15_t)0x8971, (q15_t)0xCFBE, (q15_t)0x8997, (q15_t)0xCF61, + (q15_t)0x89BE, (q15_t)0xCF04, (q15_t)0x89E4, (q15_t)0xCEA7, + (q15_t)0x8A0B, (q15_t)0xCE4A, (q15_t)0x8A33, (q15_t)0xCDEE, + (q15_t)0x8A5A, (q15_t)0xCD91, (q15_t)0x8A82, (q15_t)0xCD35, + (q15_t)0x8AAA, (q15_t)0xCCD9, (q15_t)0x8AD2, (q15_t)0xCC7D, + (q15_t)0x8AFB, (q15_t)0xCC21, (q15_t)0x8B24, (q15_t)0xCBC5, + (q15_t)0x8B4D, (q15_t)0xCB69, (q15_t)0x8B76, (q15_t)0xCB0D, + (q15_t)0x8BA0, (q15_t)0xCAB2, (q15_t)0x8BCA, (q15_t)0xCA57, + (q15_t)0x8BF4, (q15_t)0xC9FB, (q15_t)0x8C1F, (q15_t)0xC9A0, + (q15_t)0x8C4A, (q15_t)0xC945, (q15_t)0x8C75, (q15_t)0xC8EB, + (q15_t)0x8CA0, (q15_t)0xC890, (q15_t)0x8CCC, (q15_t)0xC835, + (q15_t)0x8CF8, (q15_t)0xC7DB, (q15_t)0x8D24, (q15_t)0xC781, + (q15_t)0x8D50, (q15_t)0xC727, (q15_t)0x8D7D, (q15_t)0xC6CD, + (q15_t)0x8DAA, (q15_t)0xC673, (q15_t)0x8DD8, (q15_t)0xC619, + (q15_t)0x8E05, (q15_t)0xC5BF, (q15_t)0x8E33, (q15_t)0xC566, + (q15_t)0x8E61, (q15_t)0xC50D, (q15_t)0x8E90, (q15_t)0xC4B3, + (q15_t)0x8EBE, (q15_t)0xC45A, (q15_t)0x8EED, (q15_t)0xC402, + (q15_t)0x8F1D, (q15_t)0xC3A9, (q15_t)0x8F4C, (q15_t)0xC350, + (q15_t)0x8F7C, (q15_t)0xC2F8, (q15_t)0x8FAC, (q15_t)0xC29F, + (q15_t)0x8FDC, (q15_t)0xC247, (q15_t)0x900D, (q15_t)0xC1EF, + (q15_t)0x903E, (q15_t)0xC197, (q15_t)0x906F, (q15_t)0xC140, + (q15_t)0x90A0, (q15_t)0xC0E8, (q15_t)0x90D2, (q15_t)0xC091, + (q15_t)0x9104, (q15_t)0xC03A, (q15_t)0x9136, (q15_t)0xBFE2, + (q15_t)0x9169, (q15_t)0xBF8C, (q15_t)0x919C, (q15_t)0xBF35, + (q15_t)0x91CF, (q15_t)0xBEDE, (q15_t)0x9202, (q15_t)0xBE88, + (q15_t)0x9235, (q15_t)0xBE31, (q15_t)0x9269, (q15_t)0xBDDB, + (q15_t)0x929D, (q15_t)0xBD85, (q15_t)0x92D2, (q15_t)0xBD2F, + (q15_t)0x9306, (q15_t)0xBCDA, (q15_t)0x933B, (q15_t)0xBC84, + (q15_t)0x9370, (q15_t)0xBC2F, (q15_t)0x93A6, (q15_t)0xBBDA, + (q15_t)0x93DB, (q15_t)0xBB85, (q15_t)0x9411, (q15_t)0xBB30, + (q15_t)0x9447, (q15_t)0xBADB, (q15_t)0x947E, (q15_t)0xBA87, + (q15_t)0x94B5, (q15_t)0xBA32, (q15_t)0x94EC, (q15_t)0xB9DE, + (q15_t)0x9523, (q15_t)0xB98A, (q15_t)0x955A, (q15_t)0xB936, + (q15_t)0x9592, (q15_t)0xB8E3, (q15_t)0x95CA, (q15_t)0xB88F, + (q15_t)0x9602, (q15_t)0xB83C, (q15_t)0x963B, (q15_t)0xB7E9, + (q15_t)0x9673, (q15_t)0xB796, (q15_t)0x96AC, (q15_t)0xB743, + (q15_t)0x96E6, (q15_t)0xB6F0, (q15_t)0x971F, (q15_t)0xB69E, + (q15_t)0x9759, (q15_t)0xB64B, (q15_t)0x9793, (q15_t)0xB5F9, + (q15_t)0x97CD, (q15_t)0xB5A7, (q15_t)0x9808, (q15_t)0xB556, + (q15_t)0x9842, (q15_t)0xB504, (q15_t)0x987D, (q15_t)0xB4B3, + (q15_t)0x98B9, (q15_t)0xB461, (q15_t)0x98F4, (q15_t)0xB410, + (q15_t)0x9930, (q15_t)0xB3C0, (q15_t)0x996C, (q15_t)0xB36F, + (q15_t)0x99A8, (q15_t)0xB31E, (q15_t)0x99E5, (q15_t)0xB2CE, + (q15_t)0x9A22, (q15_t)0xB27E, (q15_t)0x9A5F, (q15_t)0xB22E, + (q15_t)0x9A9C, (q15_t)0xB1DE, (q15_t)0x9AD9, (q15_t)0xB18F, + (q15_t)0x9B17, (q15_t)0xB140, (q15_t)0x9B55, (q15_t)0xB0F0, + (q15_t)0x9B93, (q15_t)0xB0A1, (q15_t)0x9BD2, (q15_t)0xB053, + (q15_t)0x9C10, (q15_t)0xB004, (q15_t)0x9C4F, (q15_t)0xAFB6, + (q15_t)0x9C8E, (q15_t)0xAF68, (q15_t)0x9CCE, (q15_t)0xAF1A, + (q15_t)0x9D0D, (q15_t)0xAECC, (q15_t)0x9D4D, (q15_t)0xAE7E, + (q15_t)0x9D8E, (q15_t)0xAE31, (q15_t)0x9DCE, (q15_t)0xADE3, + (q15_t)0x9E0E, (q15_t)0xAD96, (q15_t)0x9E4F, (q15_t)0xAD4A, + (q15_t)0x9E90, (q15_t)0xACFD, (q15_t)0x9ED2, (q15_t)0xACB1, + (q15_t)0x9F13, (q15_t)0xAC64, (q15_t)0x9F55, (q15_t)0xAC18, + (q15_t)0x9F97, (q15_t)0xABCC, (q15_t)0x9FD9, (q15_t)0xAB81, + (q15_t)0xA01C, (q15_t)0xAB35, (q15_t)0xA05F, (q15_t)0xAAEA, + (q15_t)0xA0A1, (q15_t)0xAA9F, (q15_t)0xA0E5, (q15_t)0xAA54, + (q15_t)0xA128, (q15_t)0xAA0A, (q15_t)0xA16C, (q15_t)0xA9BF, + (q15_t)0xA1AF, (q15_t)0xA975, (q15_t)0xA1F4, (q15_t)0xA92B, + (q15_t)0xA238, (q15_t)0xA8E2, (q15_t)0xA27C, (q15_t)0xA898, + (q15_t)0xA2C1, (q15_t)0xA84F, (q15_t)0xA306, (q15_t)0xA806, + (q15_t)0xA34B, (q15_t)0xA7BD, (q15_t)0xA391, (q15_t)0xA774, + (q15_t)0xA3D6, (q15_t)0xA72B, (q15_t)0xA41C, (q15_t)0xA6E3, + (q15_t)0xA462, (q15_t)0xA69B, (q15_t)0xA4A9, (q15_t)0xA653, + (q15_t)0xA4EF, (q15_t)0xA60C, (q15_t)0xA536, (q15_t)0xA5C4, + (q15_t)0xA57D, (q15_t)0xA57D, (q15_t)0xA5C4, (q15_t)0xA536, + (q15_t)0xA60C, (q15_t)0xA4EF, (q15_t)0xA653, (q15_t)0xA4A9, + (q15_t)0xA69B, (q15_t)0xA462, (q15_t)0xA6E3, (q15_t)0xA41C, + (q15_t)0xA72B, (q15_t)0xA3D6, (q15_t)0xA774, (q15_t)0xA391, + (q15_t)0xA7BD, (q15_t)0xA34B, (q15_t)0xA806, (q15_t)0xA306, + (q15_t)0xA84F, (q15_t)0xA2C1, (q15_t)0xA898, (q15_t)0xA27C, + (q15_t)0xA8E2, (q15_t)0xA238, (q15_t)0xA92B, (q15_t)0xA1F4, + (q15_t)0xA975, (q15_t)0xA1AF, (q15_t)0xA9BF, (q15_t)0xA16C, + (q15_t)0xAA0A, (q15_t)0xA128, (q15_t)0xAA54, (q15_t)0xA0E5, + (q15_t)0xAA9F, (q15_t)0xA0A1, (q15_t)0xAAEA, (q15_t)0xA05F, + (q15_t)0xAB35, (q15_t)0xA01C, (q15_t)0xAB81, (q15_t)0x9FD9, + (q15_t)0xABCC, (q15_t)0x9F97, (q15_t)0xAC18, (q15_t)0x9F55, + (q15_t)0xAC64, (q15_t)0x9F13, (q15_t)0xACB1, (q15_t)0x9ED2, + (q15_t)0xACFD, (q15_t)0x9E90, (q15_t)0xAD4A, (q15_t)0x9E4F, + (q15_t)0xAD96, (q15_t)0x9E0E, (q15_t)0xADE3, (q15_t)0x9DCE, + (q15_t)0xAE31, (q15_t)0x9D8E, (q15_t)0xAE7E, (q15_t)0x9D4D, + (q15_t)0xAECC, (q15_t)0x9D0D, (q15_t)0xAF1A, (q15_t)0x9CCE, + (q15_t)0xAF68, (q15_t)0x9C8E, (q15_t)0xAFB6, (q15_t)0x9C4F, + (q15_t)0xB004, (q15_t)0x9C10, (q15_t)0xB053, (q15_t)0x9BD2, + (q15_t)0xB0A1, (q15_t)0x9B93, (q15_t)0xB0F0, (q15_t)0x9B55, + (q15_t)0xB140, (q15_t)0x9B17, (q15_t)0xB18F, (q15_t)0x9AD9, + (q15_t)0xB1DE, (q15_t)0x9A9C, (q15_t)0xB22E, (q15_t)0x9A5F, + (q15_t)0xB27E, (q15_t)0x9A22, (q15_t)0xB2CE, (q15_t)0x99E5, + (q15_t)0xB31E, (q15_t)0x99A8, (q15_t)0xB36F, (q15_t)0x996C, + (q15_t)0xB3C0, (q15_t)0x9930, (q15_t)0xB410, (q15_t)0x98F4, + (q15_t)0xB461, (q15_t)0x98B9, (q15_t)0xB4B3, (q15_t)0x987D, + (q15_t)0xB504, (q15_t)0x9842, (q15_t)0xB556, (q15_t)0x9808, + (q15_t)0xB5A7, (q15_t)0x97CD, (q15_t)0xB5F9, (q15_t)0x9793, + (q15_t)0xB64B, (q15_t)0x9759, (q15_t)0xB69E, (q15_t)0x971F, + (q15_t)0xB6F0, (q15_t)0x96E6, (q15_t)0xB743, (q15_t)0x96AC, + (q15_t)0xB796, (q15_t)0x9673, (q15_t)0xB7E9, (q15_t)0x963B, + (q15_t)0xB83C, (q15_t)0x9602, (q15_t)0xB88F, (q15_t)0x95CA, + (q15_t)0xB8E3, (q15_t)0x9592, (q15_t)0xB936, (q15_t)0x955A, + (q15_t)0xB98A, (q15_t)0x9523, (q15_t)0xB9DE, (q15_t)0x94EC, + (q15_t)0xBA32, (q15_t)0x94B5, (q15_t)0xBA87, (q15_t)0x947E, + (q15_t)0xBADB, (q15_t)0x9447, (q15_t)0xBB30, (q15_t)0x9411, + (q15_t)0xBB85, (q15_t)0x93DB, (q15_t)0xBBDA, (q15_t)0x93A6, + (q15_t)0xBC2F, (q15_t)0x9370, (q15_t)0xBC84, (q15_t)0x933B, + (q15_t)0xBCDA, (q15_t)0x9306, (q15_t)0xBD2F, (q15_t)0x92D2, + (q15_t)0xBD85, (q15_t)0x929D, (q15_t)0xBDDB, (q15_t)0x9269, + (q15_t)0xBE31, (q15_t)0x9235, (q15_t)0xBE88, (q15_t)0x9202, + (q15_t)0xBEDE, (q15_t)0x91CF, (q15_t)0xBF35, (q15_t)0x919C, + (q15_t)0xBF8C, (q15_t)0x9169, (q15_t)0xBFE2, (q15_t)0x9136, + (q15_t)0xC03A, (q15_t)0x9104, (q15_t)0xC091, (q15_t)0x90D2, + (q15_t)0xC0E8, (q15_t)0x90A0, (q15_t)0xC140, (q15_t)0x906F, + (q15_t)0xC197, (q15_t)0x903E, (q15_t)0xC1EF, (q15_t)0x900D, + (q15_t)0xC247, (q15_t)0x8FDC, (q15_t)0xC29F, (q15_t)0x8FAC, + (q15_t)0xC2F8, (q15_t)0x8F7C, (q15_t)0xC350, (q15_t)0x8F4C, + (q15_t)0xC3A9, (q15_t)0x8F1D, (q15_t)0xC402, (q15_t)0x8EED, + (q15_t)0xC45A, (q15_t)0x8EBE, (q15_t)0xC4B3, (q15_t)0x8E90, + (q15_t)0xC50D, (q15_t)0x8E61, (q15_t)0xC566, (q15_t)0x8E33, + (q15_t)0xC5BF, (q15_t)0x8E05, (q15_t)0xC619, (q15_t)0x8DD8, + (q15_t)0xC673, (q15_t)0x8DAA, (q15_t)0xC6CD, (q15_t)0x8D7D, + (q15_t)0xC727, (q15_t)0x8D50, (q15_t)0xC781, (q15_t)0x8D24, + (q15_t)0xC7DB, (q15_t)0x8CF8, (q15_t)0xC835, (q15_t)0x8CCC, + (q15_t)0xC890, (q15_t)0x8CA0, (q15_t)0xC8EB, (q15_t)0x8C75, + (q15_t)0xC945, (q15_t)0x8C4A, (q15_t)0xC9A0, (q15_t)0x8C1F, + (q15_t)0xC9FB, (q15_t)0x8BF4, (q15_t)0xCA57, (q15_t)0x8BCA, + (q15_t)0xCAB2, (q15_t)0x8BA0, (q15_t)0xCB0D, (q15_t)0x8B76, + (q15_t)0xCB69, (q15_t)0x8B4D, (q15_t)0xCBC5, (q15_t)0x8B24, + (q15_t)0xCC21, (q15_t)0x8AFB, (q15_t)0xCC7D, (q15_t)0x8AD2, + (q15_t)0xCCD9, (q15_t)0x8AAA, (q15_t)0xCD35, (q15_t)0x8A82, + (q15_t)0xCD91, (q15_t)0x8A5A, (q15_t)0xCDEE, (q15_t)0x8A33, + (q15_t)0xCE4A, (q15_t)0x8A0B, (q15_t)0xCEA7, (q15_t)0x89E4, + (q15_t)0xCF04, (q15_t)0x89BE, (q15_t)0xCF61, (q15_t)0x8997, + (q15_t)0xCFBE, (q15_t)0x8971, (q15_t)0xD01B, (q15_t)0x894C, + (q15_t)0xD078, (q15_t)0x8926, (q15_t)0xD0D6, (q15_t)0x8901, + (q15_t)0xD133, (q15_t)0x88DC, (q15_t)0xD191, (q15_t)0x88B8, + (q15_t)0xD1EE, (q15_t)0x8893, (q15_t)0xD24C, (q15_t)0x886F, + (q15_t)0xD2AA, (q15_t)0x884B, (q15_t)0xD308, (q15_t)0x8828, + (q15_t)0xD367, (q15_t)0x8805, (q15_t)0xD3C5, (q15_t)0x87E2, + (q15_t)0xD423, (q15_t)0x87BF, (q15_t)0xD482, (q15_t)0x879D, + (q15_t)0xD4E0, (q15_t)0x877B, (q15_t)0xD53F, (q15_t)0x8759, + (q15_t)0xD59E, (q15_t)0x8738, (q15_t)0xD5FD, (q15_t)0x8717, + (q15_t)0xD65C, (q15_t)0x86F6, (q15_t)0xD6BB, (q15_t)0x86D5, + (q15_t)0xD71A, (q15_t)0x86B5, (q15_t)0xD779, (q15_t)0x8695, + (q15_t)0xD7D9, (q15_t)0x8675, (q15_t)0xD838, (q15_t)0x8656, + (q15_t)0xD898, (q15_t)0x8637, (q15_t)0xD8F8, (q15_t)0x8618, + (q15_t)0xD957, (q15_t)0x85FA, (q15_t)0xD9B7, (q15_t)0x85DB, + (q15_t)0xDA17, (q15_t)0x85BD, (q15_t)0xDA77, (q15_t)0x85A0, + (q15_t)0xDAD7, (q15_t)0x8582, (q15_t)0xDB38, (q15_t)0x8565, + (q15_t)0xDB98, (q15_t)0x8549, (q15_t)0xDBF8, (q15_t)0x852C, + (q15_t)0xDC59, (q15_t)0x8510, (q15_t)0xDCBA, (q15_t)0x84F4, + (q15_t)0xDD1A, (q15_t)0x84D9, (q15_t)0xDD7B, (q15_t)0x84BD, + (q15_t)0xDDDC, (q15_t)0x84A2, (q15_t)0xDE3D, (q15_t)0x8488, + (q15_t)0xDE9E, (q15_t)0x846D, (q15_t)0xDEFF, (q15_t)0x8453, + (q15_t)0xDF60, (q15_t)0x843A, (q15_t)0xDFC1, (q15_t)0x8420, + (q15_t)0xE023, (q15_t)0x8407, (q15_t)0xE084, (q15_t)0x83EE, + (q15_t)0xE0E6, (q15_t)0x83D6, (q15_t)0xE147, (q15_t)0x83BD, + (q15_t)0xE1A9, (q15_t)0x83A5, (q15_t)0xE20A, (q15_t)0x838E, + (q15_t)0xE26C, (q15_t)0x8376, (q15_t)0xE2CE, (q15_t)0x835F, + (q15_t)0xE330, (q15_t)0x8348, (q15_t)0xE392, (q15_t)0x8332, + (q15_t)0xE3F4, (q15_t)0x831C, (q15_t)0xE456, (q15_t)0x8306, + (q15_t)0xE4B8, (q15_t)0x82F0, (q15_t)0xE51B, (q15_t)0x82DB, + (q15_t)0xE57D, (q15_t)0x82C6, (q15_t)0xE5DF, (q15_t)0x82B1, + (q15_t)0xE642, (q15_t)0x829D, (q15_t)0xE6A4, (q15_t)0x8289, + (q15_t)0xE707, (q15_t)0x8275, (q15_t)0xE769, (q15_t)0x8262, + (q15_t)0xE7CC, (q15_t)0x824F, (q15_t)0xE82F, (q15_t)0x823C, + (q15_t)0xE892, (q15_t)0x8229, (q15_t)0xE8F5, (q15_t)0x8217, + (q15_t)0xE957, (q15_t)0x8205, (q15_t)0xE9BA, (q15_t)0x81F3, + (q15_t)0xEA1D, (q15_t)0x81E2, (q15_t)0xEA80, (q15_t)0x81D1, + (q15_t)0xEAE4, (q15_t)0x81C0, (q15_t)0xEB47, (q15_t)0x81B0, + (q15_t)0xEBAA, (q15_t)0x81A0, (q15_t)0xEC0D, (q15_t)0x8190, + (q15_t)0xEC71, (q15_t)0x8180, (q15_t)0xECD4, (q15_t)0x8171, + (q15_t)0xED37, (q15_t)0x8162, (q15_t)0xED9B, (q15_t)0x8154, + (q15_t)0xEDFE, (q15_t)0x8145, (q15_t)0xEE62, (q15_t)0x8137, + (q15_t)0xEEC6, (q15_t)0x812A, (q15_t)0xEF29, (q15_t)0x811C, + (q15_t)0xEF8D, (q15_t)0x810F, (q15_t)0xEFF1, (q15_t)0x8102, + (q15_t)0xF054, (q15_t)0x80F6, (q15_t)0xF0B8, (q15_t)0x80EA, + (q15_t)0xF11C, (q15_t)0x80DE, (q15_t)0xF180, (q15_t)0x80D2, + (q15_t)0xF1E4, (q15_t)0x80C7, (q15_t)0xF248, (q15_t)0x80BC, + (q15_t)0xF2AC, (q15_t)0x80B2, (q15_t)0xF310, (q15_t)0x80A7, + (q15_t)0xF374, (q15_t)0x809D, (q15_t)0xF3D8, (q15_t)0x8094, + (q15_t)0xF43C, (q15_t)0x808A, (q15_t)0xF4A0, (q15_t)0x8081, + (q15_t)0xF504, (q15_t)0x8078, (q15_t)0xF568, (q15_t)0x8070, + (q15_t)0xF5CC, (q15_t)0x8068, (q15_t)0xF631, (q15_t)0x8060, + (q15_t)0xF695, (q15_t)0x8058, (q15_t)0xF6F9, (q15_t)0x8051, + (q15_t)0xF75D, (q15_t)0x804A, (q15_t)0xF7C2, (q15_t)0x8043, + (q15_t)0xF826, (q15_t)0x803D, (q15_t)0xF88A, (q15_t)0x8037, + (q15_t)0xF8EF, (q15_t)0x8031, (q15_t)0xF953, (q15_t)0x802C, + (q15_t)0xF9B8, (q15_t)0x8027, (q15_t)0xFA1C, (q15_t)0x8022, + (q15_t)0xFA80, (q15_t)0x801E, (q15_t)0xFAE5, (q15_t)0x801A, + (q15_t)0xFB49, (q15_t)0x8016, (q15_t)0xFBAE, (q15_t)0x8012, + (q15_t)0xFC12, (q15_t)0x800F, (q15_t)0xFC77, (q15_t)0x800C, + (q15_t)0xFCDB, (q15_t)0x8009, (q15_t)0xFD40, (q15_t)0x8007, + (q15_t)0xFDA4, (q15_t)0x8005, (q15_t)0xFE09, (q15_t)0x8003, + (q15_t)0xFE6D, (q15_t)0x8002, (q15_t)0xFED2, (q15_t)0x8001, + (q15_t)0xFF36, (q15_t)0x8000, (q15_t)0xFF9B, (q15_t)0x8000 +}; + +/** +* \par +* Example code for q15 Twiddle factors Generation:: +* \par +*
for(i = 0; i< 3N/4; i++)
+* {
+*    twiddleCoefq15[2*i]= cos(i * 2*PI/(float)N);
+*    twiddleCoefq15[2*i+1]= sin(i * 2*PI/(float)N);
+* } 
+* \par +* where N = 4096 and PI = 3.14159265358979 +* \par +* Cos and Sin values are interleaved fashion +* \par +* Convert Floating point to q15(Fixed point 1.15): +* round(twiddleCoefq15(i) * pow(2, 15)) +* +*/ +const q15_t twiddleCoef_4096_q15[6144] = +{ + (q15_t)0x7FFF, (q15_t)0x0000, (q15_t)0x7FFF, (q15_t)0x0032, + (q15_t)0x7FFF, (q15_t)0x0064, (q15_t)0x7FFF, (q15_t)0x0096, + (q15_t)0x7FFF, (q15_t)0x00C9, (q15_t)0x7FFF, (q15_t)0x00FB, + (q15_t)0x7FFE, (q15_t)0x012D, (q15_t)0x7FFE, (q15_t)0x015F, + (q15_t)0x7FFD, (q15_t)0x0192, (q15_t)0x7FFC, (q15_t)0x01C4, + (q15_t)0x7FFC, (q15_t)0x01F6, (q15_t)0x7FFB, (q15_t)0x0228, + (q15_t)0x7FFA, (q15_t)0x025B, (q15_t)0x7FF9, (q15_t)0x028D, + (q15_t)0x7FF8, (q15_t)0x02BF, (q15_t)0x7FF7, (q15_t)0x02F1, + (q15_t)0x7FF6, (q15_t)0x0324, (q15_t)0x7FF4, (q15_t)0x0356, + (q15_t)0x7FF3, (q15_t)0x0388, (q15_t)0x7FF2, (q15_t)0x03BA, + (q15_t)0x7FF0, (q15_t)0x03ED, (q15_t)0x7FEE, (q15_t)0x041F, + (q15_t)0x7FED, (q15_t)0x0451, (q15_t)0x7FEB, (q15_t)0x0483, + (q15_t)0x7FE9, (q15_t)0x04B6, (q15_t)0x7FE7, (q15_t)0x04E8, + (q15_t)0x7FE5, (q15_t)0x051A, (q15_t)0x7FE3, (q15_t)0x054C, + (q15_t)0x7FE1, (q15_t)0x057F, (q15_t)0x7FDF, (q15_t)0x05B1, + (q15_t)0x7FDD, (q15_t)0x05E3, (q15_t)0x7FDA, (q15_t)0x0615, + (q15_t)0x7FD8, (q15_t)0x0647, (q15_t)0x7FD6, (q15_t)0x067A, + (q15_t)0x7FD3, (q15_t)0x06AC, (q15_t)0x7FD0, (q15_t)0x06DE, + (q15_t)0x7FCE, (q15_t)0x0710, (q15_t)0x7FCB, (q15_t)0x0742, + (q15_t)0x7FC8, (q15_t)0x0775, (q15_t)0x7FC5, (q15_t)0x07A7, + (q15_t)0x7FC2, (q15_t)0x07D9, (q15_t)0x7FBF, (q15_t)0x080B, + (q15_t)0x7FBC, (q15_t)0x083D, (q15_t)0x7FB8, (q15_t)0x086F, + (q15_t)0x7FB5, (q15_t)0x08A2, (q15_t)0x7FB1, (q15_t)0x08D4, + (q15_t)0x7FAE, (q15_t)0x0906, (q15_t)0x7FAA, (q15_t)0x0938, + (q15_t)0x7FA7, (q15_t)0x096A, (q15_t)0x7FA3, (q15_t)0x099C, + (q15_t)0x7F9F, (q15_t)0x09CE, (q15_t)0x7F9B, (q15_t)0x0A00, + (q15_t)0x7F97, (q15_t)0x0A33, (q15_t)0x7F93, (q15_t)0x0A65, + (q15_t)0x7F8F, (q15_t)0x0A97, (q15_t)0x7F8B, (q15_t)0x0AC9, + (q15_t)0x7F87, (q15_t)0x0AFB, (q15_t)0x7F82, (q15_t)0x0B2D, + (q15_t)0x7F7E, (q15_t)0x0B5F, (q15_t)0x7F79, (q15_t)0x0B91, + (q15_t)0x7F75, (q15_t)0x0BC3, (q15_t)0x7F70, (q15_t)0x0BF5, + (q15_t)0x7F6B, (q15_t)0x0C27, (q15_t)0x7F67, (q15_t)0x0C59, + (q15_t)0x7F62, (q15_t)0x0C8B, (q15_t)0x7F5D, (q15_t)0x0CBD, + (q15_t)0x7F58, (q15_t)0x0CEF, (q15_t)0x7F53, (q15_t)0x0D21, + (q15_t)0x7F4D, (q15_t)0x0D53, (q15_t)0x7F48, (q15_t)0x0D85, + (q15_t)0x7F43, (q15_t)0x0DB7, (q15_t)0x7F3D, (q15_t)0x0DE9, + (q15_t)0x7F38, (q15_t)0x0E1B, (q15_t)0x7F32, (q15_t)0x0E4D, + (q15_t)0x7F2D, (q15_t)0x0E7F, (q15_t)0x7F27, (q15_t)0x0EB1, + (q15_t)0x7F21, (q15_t)0x0EE3, (q15_t)0x7F1B, (q15_t)0x0F15, + (q15_t)0x7F15, (q15_t)0x0F47, (q15_t)0x7F0F, (q15_t)0x0F79, + (q15_t)0x7F09, (q15_t)0x0FAB, (q15_t)0x7F03, (q15_t)0x0FDD, + (q15_t)0x7EFD, (q15_t)0x100E, (q15_t)0x7EF6, (q15_t)0x1040, + (q15_t)0x7EF0, (q15_t)0x1072, (q15_t)0x7EE9, (q15_t)0x10A4, + (q15_t)0x7EE3, (q15_t)0x10D6, (q15_t)0x7EDC, (q15_t)0x1108, + (q15_t)0x7ED5, (q15_t)0x1139, (q15_t)0x7ECF, (q15_t)0x116B, + (q15_t)0x7EC8, (q15_t)0x119D, (q15_t)0x7EC1, (q15_t)0x11CF, + (q15_t)0x7EBA, (q15_t)0x1201, (q15_t)0x7EB3, (q15_t)0x1232, + (q15_t)0x7EAB, (q15_t)0x1264, (q15_t)0x7EA4, (q15_t)0x1296, + (q15_t)0x7E9D, (q15_t)0x12C8, (q15_t)0x7E95, (q15_t)0x12F9, + (q15_t)0x7E8E, (q15_t)0x132B, (q15_t)0x7E86, (q15_t)0x135D, + (q15_t)0x7E7F, (q15_t)0x138E, (q15_t)0x7E77, (q15_t)0x13C0, + (q15_t)0x7E6F, (q15_t)0x13F2, (q15_t)0x7E67, (q15_t)0x1423, + (q15_t)0x7E5F, (q15_t)0x1455, (q15_t)0x7E57, (q15_t)0x1487, + (q15_t)0x7E4F, (q15_t)0x14B8, (q15_t)0x7E47, (q15_t)0x14EA, + (q15_t)0x7E3F, (q15_t)0x151B, (q15_t)0x7E37, (q15_t)0x154D, + (q15_t)0x7E2E, (q15_t)0x157F, (q15_t)0x7E26, (q15_t)0x15B0, + (q15_t)0x7E1D, (q15_t)0x15E2, (q15_t)0x7E14, (q15_t)0x1613, + (q15_t)0x7E0C, (q15_t)0x1645, (q15_t)0x7E03, (q15_t)0x1676, + (q15_t)0x7DFA, (q15_t)0x16A8, (q15_t)0x7DF1, (q15_t)0x16D9, + (q15_t)0x7DE8, (q15_t)0x170A, (q15_t)0x7DDF, (q15_t)0x173C, + (q15_t)0x7DD6, (q15_t)0x176D, (q15_t)0x7DCD, (q15_t)0x179F, + (q15_t)0x7DC3, (q15_t)0x17D0, (q15_t)0x7DBA, (q15_t)0x1802, + (q15_t)0x7DB0, (q15_t)0x1833, (q15_t)0x7DA7, (q15_t)0x1864, + (q15_t)0x7D9D, (q15_t)0x1896, (q15_t)0x7D94, (q15_t)0x18C7, + (q15_t)0x7D8A, (q15_t)0x18F8, (q15_t)0x7D80, (q15_t)0x192A, + (q15_t)0x7D76, (q15_t)0x195B, (q15_t)0x7D6C, (q15_t)0x198C, + (q15_t)0x7D62, (q15_t)0x19BD, (q15_t)0x7D58, (q15_t)0x19EF, + (q15_t)0x7D4E, (q15_t)0x1A20, (q15_t)0x7D43, (q15_t)0x1A51, + (q15_t)0x7D39, (q15_t)0x1A82, (q15_t)0x7D2F, (q15_t)0x1AB3, + (q15_t)0x7D24, (q15_t)0x1AE4, (q15_t)0x7D19, (q15_t)0x1B16, + (q15_t)0x7D0F, (q15_t)0x1B47, (q15_t)0x7D04, (q15_t)0x1B78, + (q15_t)0x7CF9, (q15_t)0x1BA9, (q15_t)0x7CEE, (q15_t)0x1BDA, + (q15_t)0x7CE3, (q15_t)0x1C0B, (q15_t)0x7CD8, (q15_t)0x1C3C, + (q15_t)0x7CCD, (q15_t)0x1C6D, (q15_t)0x7CC2, (q15_t)0x1C9E, + (q15_t)0x7CB7, (q15_t)0x1CCF, (q15_t)0x7CAB, (q15_t)0x1D00, + (q15_t)0x7CA0, (q15_t)0x1D31, (q15_t)0x7C94, (q15_t)0x1D62, + (q15_t)0x7C89, (q15_t)0x1D93, (q15_t)0x7C7D, (q15_t)0x1DC4, + (q15_t)0x7C71, (q15_t)0x1DF5, (q15_t)0x7C66, (q15_t)0x1E25, + (q15_t)0x7C5A, (q15_t)0x1E56, (q15_t)0x7C4E, (q15_t)0x1E87, + (q15_t)0x7C42, (q15_t)0x1EB8, (q15_t)0x7C36, (q15_t)0x1EE9, + (q15_t)0x7C29, (q15_t)0x1F19, (q15_t)0x7C1D, (q15_t)0x1F4A, + (q15_t)0x7C11, (q15_t)0x1F7B, (q15_t)0x7C05, (q15_t)0x1FAC, + (q15_t)0x7BF8, (q15_t)0x1FDC, (q15_t)0x7BEB, (q15_t)0x200D, + (q15_t)0x7BDF, (q15_t)0x203E, (q15_t)0x7BD2, (q15_t)0x206E, + (q15_t)0x7BC5, (q15_t)0x209F, (q15_t)0x7BB9, (q15_t)0x20D0, + (q15_t)0x7BAC, (q15_t)0x2100, (q15_t)0x7B9F, (q15_t)0x2131, + (q15_t)0x7B92, (q15_t)0x2161, (q15_t)0x7B84, (q15_t)0x2192, + (q15_t)0x7B77, (q15_t)0x21C2, (q15_t)0x7B6A, (q15_t)0x21F3, + (q15_t)0x7B5D, (q15_t)0x2223, (q15_t)0x7B4F, (q15_t)0x2254, + (q15_t)0x7B42, (q15_t)0x2284, (q15_t)0x7B34, (q15_t)0x22B4, + (q15_t)0x7B26, (q15_t)0x22E5, (q15_t)0x7B19, (q15_t)0x2315, + (q15_t)0x7B0B, (q15_t)0x2345, (q15_t)0x7AFD, (q15_t)0x2376, + (q15_t)0x7AEF, (q15_t)0x23A6, (q15_t)0x7AE1, (q15_t)0x23D6, + (q15_t)0x7AD3, (q15_t)0x2407, (q15_t)0x7AC5, (q15_t)0x2437, + (q15_t)0x7AB6, (q15_t)0x2467, (q15_t)0x7AA8, (q15_t)0x2497, + (q15_t)0x7A9A, (q15_t)0x24C7, (q15_t)0x7A8B, (q15_t)0x24F7, + (q15_t)0x7A7D, (q15_t)0x2528, (q15_t)0x7A6E, (q15_t)0x2558, + (q15_t)0x7A5F, (q15_t)0x2588, (q15_t)0x7A50, (q15_t)0x25B8, + (q15_t)0x7A42, (q15_t)0x25E8, (q15_t)0x7A33, (q15_t)0x2618, + (q15_t)0x7A24, (q15_t)0x2648, (q15_t)0x7A15, (q15_t)0x2678, + (q15_t)0x7A05, (q15_t)0x26A8, (q15_t)0x79F6, (q15_t)0x26D8, + (q15_t)0x79E7, (q15_t)0x2707, (q15_t)0x79D8, (q15_t)0x2737, + (q15_t)0x79C8, (q15_t)0x2767, (q15_t)0x79B9, (q15_t)0x2797, + (q15_t)0x79A9, (q15_t)0x27C7, (q15_t)0x7999, (q15_t)0x27F6, + (q15_t)0x798A, (q15_t)0x2826, (q15_t)0x797A, (q15_t)0x2856, + (q15_t)0x796A, (q15_t)0x2886, (q15_t)0x795A, (q15_t)0x28B5, + (q15_t)0x794A, (q15_t)0x28E5, (q15_t)0x793A, (q15_t)0x2915, + (q15_t)0x792A, (q15_t)0x2944, (q15_t)0x7919, (q15_t)0x2974, + (q15_t)0x7909, (q15_t)0x29A3, (q15_t)0x78F9, (q15_t)0x29D3, + (q15_t)0x78E8, (q15_t)0x2A02, (q15_t)0x78D8, (q15_t)0x2A32, + (q15_t)0x78C7, (q15_t)0x2A61, (q15_t)0x78B6, (q15_t)0x2A91, + (q15_t)0x78A6, (q15_t)0x2AC0, (q15_t)0x7895, (q15_t)0x2AEF, + (q15_t)0x7884, (q15_t)0x2B1F, (q15_t)0x7873, (q15_t)0x2B4E, + (q15_t)0x7862, (q15_t)0x2B7D, (q15_t)0x7851, (q15_t)0x2BAD, + (q15_t)0x7840, (q15_t)0x2BDC, (q15_t)0x782E, (q15_t)0x2C0B, + (q15_t)0x781D, (q15_t)0x2C3A, (q15_t)0x780C, (q15_t)0x2C69, + (q15_t)0x77FA, (q15_t)0x2C98, (q15_t)0x77E9, (q15_t)0x2CC8, + (q15_t)0x77D7, (q15_t)0x2CF7, (q15_t)0x77C5, (q15_t)0x2D26, + (q15_t)0x77B4, (q15_t)0x2D55, (q15_t)0x77A2, (q15_t)0x2D84, + (q15_t)0x7790, (q15_t)0x2DB3, (q15_t)0x777E, (q15_t)0x2DE2, + (q15_t)0x776C, (q15_t)0x2E11, (q15_t)0x775A, (q15_t)0x2E3F, + (q15_t)0x7747, (q15_t)0x2E6E, (q15_t)0x7735, (q15_t)0x2E9D, + (q15_t)0x7723, (q15_t)0x2ECC, (q15_t)0x7710, (q15_t)0x2EFB, + (q15_t)0x76FE, (q15_t)0x2F29, (q15_t)0x76EB, (q15_t)0x2F58, + (q15_t)0x76D9, (q15_t)0x2F87, (q15_t)0x76C6, (q15_t)0x2FB5, + (q15_t)0x76B3, (q15_t)0x2FE4, (q15_t)0x76A0, (q15_t)0x3013, + (q15_t)0x768E, (q15_t)0x3041, (q15_t)0x767B, (q15_t)0x3070, + (q15_t)0x7668, (q15_t)0x309E, (q15_t)0x7654, (q15_t)0x30CD, + (q15_t)0x7641, (q15_t)0x30FB, (q15_t)0x762E, (q15_t)0x312A, + (q15_t)0x761B, (q15_t)0x3158, (q15_t)0x7607, (q15_t)0x3186, + (q15_t)0x75F4, (q15_t)0x31B5, (q15_t)0x75E0, (q15_t)0x31E3, + (q15_t)0x75CC, (q15_t)0x3211, (q15_t)0x75B9, (q15_t)0x3240, + (q15_t)0x75A5, (q15_t)0x326E, (q15_t)0x7591, (q15_t)0x329C, + (q15_t)0x757D, (q15_t)0x32CA, (q15_t)0x7569, (q15_t)0x32F8, + (q15_t)0x7555, (q15_t)0x3326, (q15_t)0x7541, (q15_t)0x3354, + (q15_t)0x752D, (q15_t)0x3382, (q15_t)0x7519, (q15_t)0x33B0, + (q15_t)0x7504, (q15_t)0x33DE, (q15_t)0x74F0, (q15_t)0x340C, + (q15_t)0x74DB, (q15_t)0x343A, (q15_t)0x74C7, (q15_t)0x3468, + (q15_t)0x74B2, (q15_t)0x3496, (q15_t)0x749E, (q15_t)0x34C4, + (q15_t)0x7489, (q15_t)0x34F2, (q15_t)0x7474, (q15_t)0x351F, + (q15_t)0x745F, (q15_t)0x354D, (q15_t)0x744A, (q15_t)0x357B, + (q15_t)0x7435, (q15_t)0x35A8, (q15_t)0x7420, (q15_t)0x35D6, + (q15_t)0x740B, (q15_t)0x3604, (q15_t)0x73F6, (q15_t)0x3631, + (q15_t)0x73E0, (q15_t)0x365F, (q15_t)0x73CB, (q15_t)0x368C, + (q15_t)0x73B5, (q15_t)0x36BA, (q15_t)0x73A0, (q15_t)0x36E7, + (q15_t)0x738A, (q15_t)0x3714, (q15_t)0x7375, (q15_t)0x3742, + (q15_t)0x735F, (q15_t)0x376F, (q15_t)0x7349, (q15_t)0x379C, + (q15_t)0x7333, (q15_t)0x37CA, (q15_t)0x731D, (q15_t)0x37F7, + (q15_t)0x7307, (q15_t)0x3824, (q15_t)0x72F1, (q15_t)0x3851, + (q15_t)0x72DB, (q15_t)0x387E, (q15_t)0x72C5, (q15_t)0x38AB, + (q15_t)0x72AF, (q15_t)0x38D8, (q15_t)0x7298, (q15_t)0x3906, + (q15_t)0x7282, (q15_t)0x3932, (q15_t)0x726B, (q15_t)0x395F, + (q15_t)0x7255, (q15_t)0x398C, (q15_t)0x723E, (q15_t)0x39B9, + (q15_t)0x7227, (q15_t)0x39E6, (q15_t)0x7211, (q15_t)0x3A13, + (q15_t)0x71FA, (q15_t)0x3A40, (q15_t)0x71E3, (q15_t)0x3A6C, + (q15_t)0x71CC, (q15_t)0x3A99, (q15_t)0x71B5, (q15_t)0x3AC6, + (q15_t)0x719E, (q15_t)0x3AF2, (q15_t)0x7186, (q15_t)0x3B1F, + (q15_t)0x716F, (q15_t)0x3B4C, (q15_t)0x7158, (q15_t)0x3B78, + (q15_t)0x7141, (q15_t)0x3BA5, (q15_t)0x7129, (q15_t)0x3BD1, + (q15_t)0x7112, (q15_t)0x3BFD, (q15_t)0x70FA, (q15_t)0x3C2A, + (q15_t)0x70E2, (q15_t)0x3C56, (q15_t)0x70CB, (q15_t)0x3C83, + (q15_t)0x70B3, (q15_t)0x3CAF, (q15_t)0x709B, (q15_t)0x3CDB, + (q15_t)0x7083, (q15_t)0x3D07, (q15_t)0x706B, (q15_t)0x3D33, + (q15_t)0x7053, (q15_t)0x3D60, (q15_t)0x703B, (q15_t)0x3D8C, + (q15_t)0x7023, (q15_t)0x3DB8, (q15_t)0x700A, (q15_t)0x3DE4, + (q15_t)0x6FF2, (q15_t)0x3E10, (q15_t)0x6FDA, (q15_t)0x3E3C, + (q15_t)0x6FC1, (q15_t)0x3E68, (q15_t)0x6FA9, (q15_t)0x3E93, + (q15_t)0x6F90, (q15_t)0x3EBF, (q15_t)0x6F77, (q15_t)0x3EEB, + (q15_t)0x6F5F, (q15_t)0x3F17, (q15_t)0x6F46, (q15_t)0x3F43, + (q15_t)0x6F2D, (q15_t)0x3F6E, (q15_t)0x6F14, (q15_t)0x3F9A, + (q15_t)0x6EFB, (q15_t)0x3FC5, (q15_t)0x6EE2, (q15_t)0x3FF1, + (q15_t)0x6EC9, (q15_t)0x401D, (q15_t)0x6EAF, (q15_t)0x4048, + (q15_t)0x6E96, (q15_t)0x4073, (q15_t)0x6E7D, (q15_t)0x409F, + (q15_t)0x6E63, (q15_t)0x40CA, (q15_t)0x6E4A, (q15_t)0x40F6, + (q15_t)0x6E30, (q15_t)0x4121, (q15_t)0x6E17, (q15_t)0x414C, + (q15_t)0x6DFD, (q15_t)0x4177, (q15_t)0x6DE3, (q15_t)0x41A2, + (q15_t)0x6DCA, (q15_t)0x41CE, (q15_t)0x6DB0, (q15_t)0x41F9, + (q15_t)0x6D96, (q15_t)0x4224, (q15_t)0x6D7C, (q15_t)0x424F, + (q15_t)0x6D62, (q15_t)0x427A, (q15_t)0x6D48, (q15_t)0x42A5, + (q15_t)0x6D2D, (q15_t)0x42D0, (q15_t)0x6D13, (q15_t)0x42FA, + (q15_t)0x6CF9, (q15_t)0x4325, (q15_t)0x6CDE, (q15_t)0x4350, + (q15_t)0x6CC4, (q15_t)0x437B, (q15_t)0x6CA9, (q15_t)0x43A5, + (q15_t)0x6C8F, (q15_t)0x43D0, (q15_t)0x6C74, (q15_t)0x43FB, + (q15_t)0x6C59, (q15_t)0x4425, (q15_t)0x6C3F, (q15_t)0x4450, + (q15_t)0x6C24, (q15_t)0x447A, (q15_t)0x6C09, (q15_t)0x44A5, + (q15_t)0x6BEE, (q15_t)0x44CF, (q15_t)0x6BD3, (q15_t)0x44FA, + (q15_t)0x6BB8, (q15_t)0x4524, (q15_t)0x6B9C, (q15_t)0x454E, + (q15_t)0x6B81, (q15_t)0x4578, (q15_t)0x6B66, (q15_t)0x45A3, + (q15_t)0x6B4A, (q15_t)0x45CD, (q15_t)0x6B2F, (q15_t)0x45F7, + (q15_t)0x6B13, (q15_t)0x4621, (q15_t)0x6AF8, (q15_t)0x464B, + (q15_t)0x6ADC, (q15_t)0x4675, (q15_t)0x6AC1, (q15_t)0x469F, + (q15_t)0x6AA5, (q15_t)0x46C9, (q15_t)0x6A89, (q15_t)0x46F3, + (q15_t)0x6A6D, (q15_t)0x471C, (q15_t)0x6A51, (q15_t)0x4746, + (q15_t)0x6A35, (q15_t)0x4770, (q15_t)0x6A19, (q15_t)0x479A, + (q15_t)0x69FD, (q15_t)0x47C3, (q15_t)0x69E1, (q15_t)0x47ED, + (q15_t)0x69C4, (q15_t)0x4816, (q15_t)0x69A8, (q15_t)0x4840, + (q15_t)0x698C, (q15_t)0x4869, (q15_t)0x696F, (q15_t)0x4893, + (q15_t)0x6953, (q15_t)0x48BC, (q15_t)0x6936, (q15_t)0x48E6, + (q15_t)0x6919, (q15_t)0x490F, (q15_t)0x68FD, (q15_t)0x4938, + (q15_t)0x68E0, (q15_t)0x4961, (q15_t)0x68C3, (q15_t)0x498A, + (q15_t)0x68A6, (q15_t)0x49B4, (q15_t)0x6889, (q15_t)0x49DD, + (q15_t)0x686C, (q15_t)0x4A06, (q15_t)0x684F, (q15_t)0x4A2F, + (q15_t)0x6832, (q15_t)0x4A58, (q15_t)0x6815, (q15_t)0x4A81, + (q15_t)0x67F7, (q15_t)0x4AA9, (q15_t)0x67DA, (q15_t)0x4AD2, + (q15_t)0x67BD, (q15_t)0x4AFB, (q15_t)0x679F, (q15_t)0x4B24, + (q15_t)0x6782, (q15_t)0x4B4C, (q15_t)0x6764, (q15_t)0x4B75, + (q15_t)0x6746, (q15_t)0x4B9E, (q15_t)0x6729, (q15_t)0x4BC6, + (q15_t)0x670B, (q15_t)0x4BEF, (q15_t)0x66ED, (q15_t)0x4C17, + (q15_t)0x66CF, (q15_t)0x4C3F, (q15_t)0x66B1, (q15_t)0x4C68, + (q15_t)0x6693, (q15_t)0x4C90, (q15_t)0x6675, (q15_t)0x4CB8, + (q15_t)0x6657, (q15_t)0x4CE1, (q15_t)0x6639, (q15_t)0x4D09, + (q15_t)0x661A, (q15_t)0x4D31, (q15_t)0x65FC, (q15_t)0x4D59, + (q15_t)0x65DD, (q15_t)0x4D81, (q15_t)0x65BF, (q15_t)0x4DA9, + (q15_t)0x65A0, (q15_t)0x4DD1, (q15_t)0x6582, (q15_t)0x4DF9, + (q15_t)0x6563, (q15_t)0x4E21, (q15_t)0x6545, (q15_t)0x4E48, + (q15_t)0x6526, (q15_t)0x4E70, (q15_t)0x6507, (q15_t)0x4E98, + (q15_t)0x64E8, (q15_t)0x4EBF, (q15_t)0x64C9, (q15_t)0x4EE7, + (q15_t)0x64AA, (q15_t)0x4F0F, (q15_t)0x648B, (q15_t)0x4F36, + (q15_t)0x646C, (q15_t)0x4F5E, (q15_t)0x644D, (q15_t)0x4F85, + (q15_t)0x642D, (q15_t)0x4FAC, (q15_t)0x640E, (q15_t)0x4FD4, + (q15_t)0x63EF, (q15_t)0x4FFB, (q15_t)0x63CF, (q15_t)0x5022, + (q15_t)0x63B0, (q15_t)0x5049, (q15_t)0x6390, (q15_t)0x5070, + (q15_t)0x6371, (q15_t)0x5097, (q15_t)0x6351, (q15_t)0x50BF, + (q15_t)0x6331, (q15_t)0x50E5, (q15_t)0x6311, (q15_t)0x510C, + (q15_t)0x62F2, (q15_t)0x5133, (q15_t)0x62D2, (q15_t)0x515A, + (q15_t)0x62B2, (q15_t)0x5181, (q15_t)0x6292, (q15_t)0x51A8, + (q15_t)0x6271, (q15_t)0x51CE, (q15_t)0x6251, (q15_t)0x51F5, + (q15_t)0x6231, (q15_t)0x521C, (q15_t)0x6211, (q15_t)0x5242, + (q15_t)0x61F1, (q15_t)0x5269, (q15_t)0x61D0, (q15_t)0x528F, + (q15_t)0x61B0, (q15_t)0x52B5, (q15_t)0x618F, (q15_t)0x52DC, + (q15_t)0x616F, (q15_t)0x5302, (q15_t)0x614E, (q15_t)0x5328, + (q15_t)0x612D, (q15_t)0x534E, (q15_t)0x610D, (q15_t)0x5375, + (q15_t)0x60EC, (q15_t)0x539B, (q15_t)0x60CB, (q15_t)0x53C1, + (q15_t)0x60AA, (q15_t)0x53E7, (q15_t)0x6089, (q15_t)0x540D, + (q15_t)0x6068, (q15_t)0x5433, (q15_t)0x6047, (q15_t)0x5458, + (q15_t)0x6026, (q15_t)0x547E, (q15_t)0x6004, (q15_t)0x54A4, + (q15_t)0x5FE3, (q15_t)0x54CA, (q15_t)0x5FC2, (q15_t)0x54EF, + (q15_t)0x5FA0, (q15_t)0x5515, (q15_t)0x5F7F, (q15_t)0x553A, + (q15_t)0x5F5E, (q15_t)0x5560, (q15_t)0x5F3C, (q15_t)0x5585, + (q15_t)0x5F1A, (q15_t)0x55AB, (q15_t)0x5EF9, (q15_t)0x55D0, + (q15_t)0x5ED7, (q15_t)0x55F5, (q15_t)0x5EB5, (q15_t)0x561A, + (q15_t)0x5E93, (q15_t)0x5640, (q15_t)0x5E71, (q15_t)0x5665, + (q15_t)0x5E50, (q15_t)0x568A, (q15_t)0x5E2D, (q15_t)0x56AF, + (q15_t)0x5E0B, (q15_t)0x56D4, (q15_t)0x5DE9, (q15_t)0x56F9, + (q15_t)0x5DC7, (q15_t)0x571D, (q15_t)0x5DA5, (q15_t)0x5742, + (q15_t)0x5D83, (q15_t)0x5767, (q15_t)0x5D60, (q15_t)0x578C, + (q15_t)0x5D3E, (q15_t)0x57B0, (q15_t)0x5D1B, (q15_t)0x57D5, + (q15_t)0x5CF9, (q15_t)0x57F9, (q15_t)0x5CD6, (q15_t)0x581E, + (q15_t)0x5CB4, (q15_t)0x5842, (q15_t)0x5C91, (q15_t)0x5867, + (q15_t)0x5C6E, (q15_t)0x588B, (q15_t)0x5C4B, (q15_t)0x58AF, + (q15_t)0x5C29, (q15_t)0x58D4, (q15_t)0x5C06, (q15_t)0x58F8, + (q15_t)0x5BE3, (q15_t)0x591C, (q15_t)0x5BC0, (q15_t)0x5940, + (q15_t)0x5B9D, (q15_t)0x5964, (q15_t)0x5B79, (q15_t)0x5988, + (q15_t)0x5B56, (q15_t)0x59AC, (q15_t)0x5B33, (q15_t)0x59D0, + (q15_t)0x5B10, (q15_t)0x59F3, (q15_t)0x5AEC, (q15_t)0x5A17, + (q15_t)0x5AC9, (q15_t)0x5A3B, (q15_t)0x5AA5, (q15_t)0x5A5E, + (q15_t)0x5A82, (q15_t)0x5A82, (q15_t)0x5A5E, (q15_t)0x5AA5, + (q15_t)0x5A3B, (q15_t)0x5AC9, (q15_t)0x5A17, (q15_t)0x5AEC, + (q15_t)0x59F3, (q15_t)0x5B10, (q15_t)0x59D0, (q15_t)0x5B33, + (q15_t)0x59AC, (q15_t)0x5B56, (q15_t)0x5988, (q15_t)0x5B79, + (q15_t)0x5964, (q15_t)0x5B9D, (q15_t)0x5940, (q15_t)0x5BC0, + (q15_t)0x591C, (q15_t)0x5BE3, (q15_t)0x58F8, (q15_t)0x5C06, + (q15_t)0x58D4, (q15_t)0x5C29, (q15_t)0x58AF, (q15_t)0x5C4B, + (q15_t)0x588B, (q15_t)0x5C6E, (q15_t)0x5867, (q15_t)0x5C91, + (q15_t)0x5842, (q15_t)0x5CB4, (q15_t)0x581E, (q15_t)0x5CD6, + (q15_t)0x57F9, (q15_t)0x5CF9, (q15_t)0x57D5, (q15_t)0x5D1B, + (q15_t)0x57B0, (q15_t)0x5D3E, (q15_t)0x578C, (q15_t)0x5D60, + (q15_t)0x5767, (q15_t)0x5D83, (q15_t)0x5742, (q15_t)0x5DA5, + (q15_t)0x571D, (q15_t)0x5DC7, (q15_t)0x56F9, (q15_t)0x5DE9, + (q15_t)0x56D4, (q15_t)0x5E0B, (q15_t)0x56AF, (q15_t)0x5E2D, + (q15_t)0x568A, (q15_t)0x5E50, (q15_t)0x5665, (q15_t)0x5E71, + (q15_t)0x5640, (q15_t)0x5E93, (q15_t)0x561A, (q15_t)0x5EB5, + (q15_t)0x55F5, (q15_t)0x5ED7, (q15_t)0x55D0, (q15_t)0x5EF9, + (q15_t)0x55AB, (q15_t)0x5F1A, (q15_t)0x5585, (q15_t)0x5F3C, + (q15_t)0x5560, (q15_t)0x5F5E, (q15_t)0x553A, (q15_t)0x5F7F, + (q15_t)0x5515, (q15_t)0x5FA0, (q15_t)0x54EF, (q15_t)0x5FC2, + (q15_t)0x54CA, (q15_t)0x5FE3, (q15_t)0x54A4, (q15_t)0x6004, + (q15_t)0x547E, (q15_t)0x6026, (q15_t)0x5458, (q15_t)0x6047, + (q15_t)0x5433, (q15_t)0x6068, (q15_t)0x540D, (q15_t)0x6089, + (q15_t)0x53E7, (q15_t)0x60AA, (q15_t)0x53C1, (q15_t)0x60CB, + (q15_t)0x539B, (q15_t)0x60EC, (q15_t)0x5375, (q15_t)0x610D, + (q15_t)0x534E, (q15_t)0x612D, (q15_t)0x5328, (q15_t)0x614E, + (q15_t)0x5302, (q15_t)0x616F, (q15_t)0x52DC, (q15_t)0x618F, + (q15_t)0x52B5, (q15_t)0x61B0, (q15_t)0x528F, (q15_t)0x61D0, + (q15_t)0x5269, (q15_t)0x61F1, (q15_t)0x5242, (q15_t)0x6211, + (q15_t)0x521C, (q15_t)0x6231, (q15_t)0x51F5, (q15_t)0x6251, + (q15_t)0x51CE, (q15_t)0x6271, (q15_t)0x51A8, (q15_t)0x6292, + (q15_t)0x5181, (q15_t)0x62B2, (q15_t)0x515A, (q15_t)0x62D2, + (q15_t)0x5133, (q15_t)0x62F2, (q15_t)0x510C, (q15_t)0x6311, + (q15_t)0x50E5, (q15_t)0x6331, (q15_t)0x50BF, (q15_t)0x6351, + (q15_t)0x5097, (q15_t)0x6371, (q15_t)0x5070, (q15_t)0x6390, + (q15_t)0x5049, (q15_t)0x63B0, (q15_t)0x5022, (q15_t)0x63CF, + (q15_t)0x4FFB, (q15_t)0x63EF, (q15_t)0x4FD4, (q15_t)0x640E, + (q15_t)0x4FAC, (q15_t)0x642D, (q15_t)0x4F85, (q15_t)0x644D, + (q15_t)0x4F5E, (q15_t)0x646C, (q15_t)0x4F36, (q15_t)0x648B, + (q15_t)0x4F0F, (q15_t)0x64AA, (q15_t)0x4EE7, (q15_t)0x64C9, + (q15_t)0x4EBF, (q15_t)0x64E8, (q15_t)0x4E98, (q15_t)0x6507, + (q15_t)0x4E70, (q15_t)0x6526, (q15_t)0x4E48, (q15_t)0x6545, + (q15_t)0x4E21, (q15_t)0x6563, (q15_t)0x4DF9, (q15_t)0x6582, + (q15_t)0x4DD1, (q15_t)0x65A0, (q15_t)0x4DA9, (q15_t)0x65BF, + (q15_t)0x4D81, (q15_t)0x65DD, (q15_t)0x4D59, (q15_t)0x65FC, + (q15_t)0x4D31, (q15_t)0x661A, (q15_t)0x4D09, (q15_t)0x6639, + (q15_t)0x4CE1, (q15_t)0x6657, (q15_t)0x4CB8, (q15_t)0x6675, + (q15_t)0x4C90, (q15_t)0x6693, (q15_t)0x4C68, (q15_t)0x66B1, + (q15_t)0x4C3F, (q15_t)0x66CF, (q15_t)0x4C17, (q15_t)0x66ED, + (q15_t)0x4BEF, (q15_t)0x670B, (q15_t)0x4BC6, (q15_t)0x6729, + (q15_t)0x4B9E, (q15_t)0x6746, (q15_t)0x4B75, (q15_t)0x6764, + (q15_t)0x4B4C, (q15_t)0x6782, (q15_t)0x4B24, (q15_t)0x679F, + (q15_t)0x4AFB, (q15_t)0x67BD, (q15_t)0x4AD2, (q15_t)0x67DA, + (q15_t)0x4AA9, (q15_t)0x67F7, (q15_t)0x4A81, (q15_t)0x6815, + (q15_t)0x4A58, (q15_t)0x6832, (q15_t)0x4A2F, (q15_t)0x684F, + (q15_t)0x4A06, (q15_t)0x686C, (q15_t)0x49DD, (q15_t)0x6889, + (q15_t)0x49B4, (q15_t)0x68A6, (q15_t)0x498A, (q15_t)0x68C3, + (q15_t)0x4961, (q15_t)0x68E0, (q15_t)0x4938, (q15_t)0x68FD, + (q15_t)0x490F, (q15_t)0x6919, (q15_t)0x48E6, (q15_t)0x6936, + (q15_t)0x48BC, (q15_t)0x6953, (q15_t)0x4893, (q15_t)0x696F, + (q15_t)0x4869, (q15_t)0x698C, (q15_t)0x4840, (q15_t)0x69A8, + (q15_t)0x4816, (q15_t)0x69C4, (q15_t)0x47ED, (q15_t)0x69E1, + (q15_t)0x47C3, (q15_t)0x69FD, (q15_t)0x479A, (q15_t)0x6A19, + (q15_t)0x4770, (q15_t)0x6A35, (q15_t)0x4746, (q15_t)0x6A51, + (q15_t)0x471C, (q15_t)0x6A6D, (q15_t)0x46F3, (q15_t)0x6A89, + (q15_t)0x46C9, (q15_t)0x6AA5, (q15_t)0x469F, (q15_t)0x6AC1, + (q15_t)0x4675, (q15_t)0x6ADC, (q15_t)0x464B, (q15_t)0x6AF8, + (q15_t)0x4621, (q15_t)0x6B13, (q15_t)0x45F7, (q15_t)0x6B2F, + (q15_t)0x45CD, (q15_t)0x6B4A, (q15_t)0x45A3, (q15_t)0x6B66, + (q15_t)0x4578, (q15_t)0x6B81, (q15_t)0x454E, (q15_t)0x6B9C, + (q15_t)0x4524, (q15_t)0x6BB8, (q15_t)0x44FA, (q15_t)0x6BD3, + (q15_t)0x44CF, (q15_t)0x6BEE, (q15_t)0x44A5, (q15_t)0x6C09, + (q15_t)0x447A, (q15_t)0x6C24, (q15_t)0x4450, (q15_t)0x6C3F, + (q15_t)0x4425, (q15_t)0x6C59, (q15_t)0x43FB, (q15_t)0x6C74, + (q15_t)0x43D0, (q15_t)0x6C8F, (q15_t)0x43A5, (q15_t)0x6CA9, + (q15_t)0x437B, (q15_t)0x6CC4, (q15_t)0x4350, (q15_t)0x6CDE, + (q15_t)0x4325, (q15_t)0x6CF9, (q15_t)0x42FA, (q15_t)0x6D13, + (q15_t)0x42D0, (q15_t)0x6D2D, (q15_t)0x42A5, (q15_t)0x6D48, + (q15_t)0x427A, (q15_t)0x6D62, (q15_t)0x424F, (q15_t)0x6D7C, + (q15_t)0x4224, (q15_t)0x6D96, (q15_t)0x41F9, (q15_t)0x6DB0, + (q15_t)0x41CE, (q15_t)0x6DCA, (q15_t)0x41A2, (q15_t)0x6DE3, + (q15_t)0x4177, (q15_t)0x6DFD, (q15_t)0x414C, (q15_t)0x6E17, + (q15_t)0x4121, (q15_t)0x6E30, (q15_t)0x40F6, (q15_t)0x6E4A, + (q15_t)0x40CA, (q15_t)0x6E63, (q15_t)0x409F, (q15_t)0x6E7D, + (q15_t)0x4073, (q15_t)0x6E96, (q15_t)0x4048, (q15_t)0x6EAF, + (q15_t)0x401D, (q15_t)0x6EC9, (q15_t)0x3FF1, (q15_t)0x6EE2, + (q15_t)0x3FC5, (q15_t)0x6EFB, (q15_t)0x3F9A, (q15_t)0x6F14, + (q15_t)0x3F6E, (q15_t)0x6F2D, (q15_t)0x3F43, (q15_t)0x6F46, + (q15_t)0x3F17, (q15_t)0x6F5F, (q15_t)0x3EEB, (q15_t)0x6F77, + (q15_t)0x3EBF, (q15_t)0x6F90, (q15_t)0x3E93, (q15_t)0x6FA9, + (q15_t)0x3E68, (q15_t)0x6FC1, (q15_t)0x3E3C, (q15_t)0x6FDA, + (q15_t)0x3E10, (q15_t)0x6FF2, (q15_t)0x3DE4, (q15_t)0x700A, + (q15_t)0x3DB8, (q15_t)0x7023, (q15_t)0x3D8C, (q15_t)0x703B, + (q15_t)0x3D60, (q15_t)0x7053, (q15_t)0x3D33, (q15_t)0x706B, + (q15_t)0x3D07, (q15_t)0x7083, (q15_t)0x3CDB, (q15_t)0x709B, + (q15_t)0x3CAF, (q15_t)0x70B3, (q15_t)0x3C83, (q15_t)0x70CB, + (q15_t)0x3C56, (q15_t)0x70E2, (q15_t)0x3C2A, (q15_t)0x70FA, + (q15_t)0x3BFD, (q15_t)0x7112, (q15_t)0x3BD1, (q15_t)0x7129, + (q15_t)0x3BA5, (q15_t)0x7141, (q15_t)0x3B78, (q15_t)0x7158, + (q15_t)0x3B4C, (q15_t)0x716F, (q15_t)0x3B1F, (q15_t)0x7186, + (q15_t)0x3AF2, (q15_t)0x719E, (q15_t)0x3AC6, (q15_t)0x71B5, + (q15_t)0x3A99, (q15_t)0x71CC, (q15_t)0x3A6C, (q15_t)0x71E3, + (q15_t)0x3A40, (q15_t)0x71FA, (q15_t)0x3A13, (q15_t)0x7211, + (q15_t)0x39E6, (q15_t)0x7227, (q15_t)0x39B9, (q15_t)0x723E, + (q15_t)0x398C, (q15_t)0x7255, (q15_t)0x395F, (q15_t)0x726B, + (q15_t)0x3932, (q15_t)0x7282, (q15_t)0x3906, (q15_t)0x7298, + (q15_t)0x38D8, (q15_t)0x72AF, (q15_t)0x38AB, (q15_t)0x72C5, + (q15_t)0x387E, (q15_t)0x72DB, (q15_t)0x3851, (q15_t)0x72F1, + (q15_t)0x3824, (q15_t)0x7307, (q15_t)0x37F7, (q15_t)0x731D, + (q15_t)0x37CA, (q15_t)0x7333, (q15_t)0x379C, (q15_t)0x7349, + (q15_t)0x376F, (q15_t)0x735F, (q15_t)0x3742, (q15_t)0x7375, + (q15_t)0x3714, (q15_t)0x738A, (q15_t)0x36E7, (q15_t)0x73A0, + (q15_t)0x36BA, (q15_t)0x73B5, (q15_t)0x368C, (q15_t)0x73CB, + (q15_t)0x365F, (q15_t)0x73E0, (q15_t)0x3631, (q15_t)0x73F6, + (q15_t)0x3604, (q15_t)0x740B, (q15_t)0x35D6, (q15_t)0x7420, + (q15_t)0x35A8, (q15_t)0x7435, (q15_t)0x357B, (q15_t)0x744A, + (q15_t)0x354D, (q15_t)0x745F, (q15_t)0x351F, (q15_t)0x7474, + (q15_t)0x34F2, (q15_t)0x7489, (q15_t)0x34C4, (q15_t)0x749E, + (q15_t)0x3496, (q15_t)0x74B2, (q15_t)0x3468, (q15_t)0x74C7, + (q15_t)0x343A, (q15_t)0x74DB, (q15_t)0x340C, (q15_t)0x74F0, + (q15_t)0x33DE, (q15_t)0x7504, (q15_t)0x33B0, (q15_t)0x7519, + (q15_t)0x3382, (q15_t)0x752D, (q15_t)0x3354, (q15_t)0x7541, + (q15_t)0x3326, (q15_t)0x7555, (q15_t)0x32F8, (q15_t)0x7569, + (q15_t)0x32CA, (q15_t)0x757D, (q15_t)0x329C, (q15_t)0x7591, + (q15_t)0x326E, (q15_t)0x75A5, (q15_t)0x3240, (q15_t)0x75B9, + (q15_t)0x3211, (q15_t)0x75CC, (q15_t)0x31E3, (q15_t)0x75E0, + (q15_t)0x31B5, (q15_t)0x75F4, (q15_t)0x3186, (q15_t)0x7607, + (q15_t)0x3158, (q15_t)0x761B, (q15_t)0x312A, (q15_t)0x762E, + (q15_t)0x30FB, (q15_t)0x7641, (q15_t)0x30CD, (q15_t)0x7654, + (q15_t)0x309E, (q15_t)0x7668, (q15_t)0x3070, (q15_t)0x767B, + (q15_t)0x3041, (q15_t)0x768E, (q15_t)0x3013, (q15_t)0x76A0, + (q15_t)0x2FE4, (q15_t)0x76B3, (q15_t)0x2FB5, (q15_t)0x76C6, + (q15_t)0x2F87, (q15_t)0x76D9, (q15_t)0x2F58, (q15_t)0x76EB, + (q15_t)0x2F29, (q15_t)0x76FE, (q15_t)0x2EFB, (q15_t)0x7710, + (q15_t)0x2ECC, (q15_t)0x7723, (q15_t)0x2E9D, (q15_t)0x7735, + (q15_t)0x2E6E, (q15_t)0x7747, (q15_t)0x2E3F, (q15_t)0x775A, + (q15_t)0x2E11, (q15_t)0x776C, (q15_t)0x2DE2, (q15_t)0x777E, + (q15_t)0x2DB3, (q15_t)0x7790, (q15_t)0x2D84, (q15_t)0x77A2, + (q15_t)0x2D55, (q15_t)0x77B4, (q15_t)0x2D26, (q15_t)0x77C5, + (q15_t)0x2CF7, (q15_t)0x77D7, (q15_t)0x2CC8, (q15_t)0x77E9, + (q15_t)0x2C98, (q15_t)0x77FA, (q15_t)0x2C69, (q15_t)0x780C, + (q15_t)0x2C3A, (q15_t)0x781D, (q15_t)0x2C0B, (q15_t)0x782E, + (q15_t)0x2BDC, (q15_t)0x7840, (q15_t)0x2BAD, (q15_t)0x7851, + (q15_t)0x2B7D, (q15_t)0x7862, (q15_t)0x2B4E, (q15_t)0x7873, + (q15_t)0x2B1F, (q15_t)0x7884, (q15_t)0x2AEF, (q15_t)0x7895, + (q15_t)0x2AC0, (q15_t)0x78A6, (q15_t)0x2A91, (q15_t)0x78B6, + (q15_t)0x2A61, (q15_t)0x78C7, (q15_t)0x2A32, (q15_t)0x78D8, + (q15_t)0x2A02, (q15_t)0x78E8, (q15_t)0x29D3, (q15_t)0x78F9, + (q15_t)0x29A3, (q15_t)0x7909, (q15_t)0x2974, (q15_t)0x7919, + (q15_t)0x2944, (q15_t)0x792A, (q15_t)0x2915, (q15_t)0x793A, + (q15_t)0x28E5, (q15_t)0x794A, (q15_t)0x28B5, (q15_t)0x795A, + (q15_t)0x2886, (q15_t)0x796A, (q15_t)0x2856, (q15_t)0x797A, + (q15_t)0x2826, (q15_t)0x798A, (q15_t)0x27F6, (q15_t)0x7999, + (q15_t)0x27C7, (q15_t)0x79A9, (q15_t)0x2797, (q15_t)0x79B9, + (q15_t)0x2767, (q15_t)0x79C8, (q15_t)0x2737, (q15_t)0x79D8, + (q15_t)0x2707, (q15_t)0x79E7, (q15_t)0x26D8, (q15_t)0x79F6, + (q15_t)0x26A8, (q15_t)0x7A05, (q15_t)0x2678, (q15_t)0x7A15, + (q15_t)0x2648, (q15_t)0x7A24, (q15_t)0x2618, (q15_t)0x7A33, + (q15_t)0x25E8, (q15_t)0x7A42, (q15_t)0x25B8, (q15_t)0x7A50, + (q15_t)0x2588, (q15_t)0x7A5F, (q15_t)0x2558, (q15_t)0x7A6E, + (q15_t)0x2528, (q15_t)0x7A7D, (q15_t)0x24F7, (q15_t)0x7A8B, + (q15_t)0x24C7, (q15_t)0x7A9A, (q15_t)0x2497, (q15_t)0x7AA8, + (q15_t)0x2467, (q15_t)0x7AB6, (q15_t)0x2437, (q15_t)0x7AC5, + (q15_t)0x2407, (q15_t)0x7AD3, (q15_t)0x23D6, (q15_t)0x7AE1, + (q15_t)0x23A6, (q15_t)0x7AEF, (q15_t)0x2376, (q15_t)0x7AFD, + (q15_t)0x2345, (q15_t)0x7B0B, (q15_t)0x2315, (q15_t)0x7B19, + (q15_t)0x22E5, (q15_t)0x7B26, (q15_t)0x22B4, (q15_t)0x7B34, + (q15_t)0x2284, (q15_t)0x7B42, (q15_t)0x2254, (q15_t)0x7B4F, + (q15_t)0x2223, (q15_t)0x7B5D, (q15_t)0x21F3, (q15_t)0x7B6A, + (q15_t)0x21C2, (q15_t)0x7B77, (q15_t)0x2192, (q15_t)0x7B84, + (q15_t)0x2161, (q15_t)0x7B92, (q15_t)0x2131, (q15_t)0x7B9F, + (q15_t)0x2100, (q15_t)0x7BAC, (q15_t)0x20D0, (q15_t)0x7BB9, + (q15_t)0x209F, (q15_t)0x7BC5, (q15_t)0x206E, (q15_t)0x7BD2, + (q15_t)0x203E, (q15_t)0x7BDF, (q15_t)0x200D, (q15_t)0x7BEB, + (q15_t)0x1FDC, (q15_t)0x7BF8, (q15_t)0x1FAC, (q15_t)0x7C05, + (q15_t)0x1F7B, (q15_t)0x7C11, (q15_t)0x1F4A, (q15_t)0x7C1D, + (q15_t)0x1F19, (q15_t)0x7C29, (q15_t)0x1EE9, (q15_t)0x7C36, + (q15_t)0x1EB8, (q15_t)0x7C42, (q15_t)0x1E87, (q15_t)0x7C4E, + (q15_t)0x1E56, (q15_t)0x7C5A, (q15_t)0x1E25, (q15_t)0x7C66, + (q15_t)0x1DF5, (q15_t)0x7C71, (q15_t)0x1DC4, (q15_t)0x7C7D, + (q15_t)0x1D93, (q15_t)0x7C89, (q15_t)0x1D62, (q15_t)0x7C94, + (q15_t)0x1D31, (q15_t)0x7CA0, (q15_t)0x1D00, (q15_t)0x7CAB, + (q15_t)0x1CCF, (q15_t)0x7CB7, (q15_t)0x1C9E, (q15_t)0x7CC2, + (q15_t)0x1C6D, (q15_t)0x7CCD, (q15_t)0x1C3C, (q15_t)0x7CD8, + (q15_t)0x1C0B, (q15_t)0x7CE3, (q15_t)0x1BDA, (q15_t)0x7CEE, + (q15_t)0x1BA9, (q15_t)0x7CF9, (q15_t)0x1B78, (q15_t)0x7D04, + (q15_t)0x1B47, (q15_t)0x7D0F, (q15_t)0x1B16, (q15_t)0x7D19, + (q15_t)0x1AE4, (q15_t)0x7D24, (q15_t)0x1AB3, (q15_t)0x7D2F, + (q15_t)0x1A82, (q15_t)0x7D39, (q15_t)0x1A51, (q15_t)0x7D43, + (q15_t)0x1A20, (q15_t)0x7D4E, (q15_t)0x19EF, (q15_t)0x7D58, + (q15_t)0x19BD, (q15_t)0x7D62, (q15_t)0x198C, (q15_t)0x7D6C, + (q15_t)0x195B, (q15_t)0x7D76, (q15_t)0x192A, (q15_t)0x7D80, + (q15_t)0x18F8, (q15_t)0x7D8A, (q15_t)0x18C7, (q15_t)0x7D94, + (q15_t)0x1896, (q15_t)0x7D9D, (q15_t)0x1864, (q15_t)0x7DA7, + (q15_t)0x1833, (q15_t)0x7DB0, (q15_t)0x1802, (q15_t)0x7DBA, + (q15_t)0x17D0, (q15_t)0x7DC3, (q15_t)0x179F, (q15_t)0x7DCD, + (q15_t)0x176D, (q15_t)0x7DD6, (q15_t)0x173C, (q15_t)0x7DDF, + (q15_t)0x170A, (q15_t)0x7DE8, (q15_t)0x16D9, (q15_t)0x7DF1, + (q15_t)0x16A8, (q15_t)0x7DFA, (q15_t)0x1676, (q15_t)0x7E03, + (q15_t)0x1645, (q15_t)0x7E0C, (q15_t)0x1613, (q15_t)0x7E14, + (q15_t)0x15E2, (q15_t)0x7E1D, (q15_t)0x15B0, (q15_t)0x7E26, + (q15_t)0x157F, (q15_t)0x7E2E, (q15_t)0x154D, (q15_t)0x7E37, + (q15_t)0x151B, (q15_t)0x7E3F, (q15_t)0x14EA, (q15_t)0x7E47, + (q15_t)0x14B8, (q15_t)0x7E4F, (q15_t)0x1487, (q15_t)0x7E57, + (q15_t)0x1455, (q15_t)0x7E5F, (q15_t)0x1423, (q15_t)0x7E67, + (q15_t)0x13F2, (q15_t)0x7E6F, (q15_t)0x13C0, (q15_t)0x7E77, + (q15_t)0x138E, (q15_t)0x7E7F, (q15_t)0x135D, (q15_t)0x7E86, + (q15_t)0x132B, (q15_t)0x7E8E, (q15_t)0x12F9, (q15_t)0x7E95, + (q15_t)0x12C8, (q15_t)0x7E9D, (q15_t)0x1296, (q15_t)0x7EA4, + (q15_t)0x1264, (q15_t)0x7EAB, (q15_t)0x1232, (q15_t)0x7EB3, + (q15_t)0x1201, (q15_t)0x7EBA, (q15_t)0x11CF, (q15_t)0x7EC1, + (q15_t)0x119D, (q15_t)0x7EC8, (q15_t)0x116B, (q15_t)0x7ECF, + (q15_t)0x1139, (q15_t)0x7ED5, (q15_t)0x1108, (q15_t)0x7EDC, + (q15_t)0x10D6, (q15_t)0x7EE3, (q15_t)0x10A4, (q15_t)0x7EE9, + (q15_t)0x1072, (q15_t)0x7EF0, (q15_t)0x1040, (q15_t)0x7EF6, + (q15_t)0x100E, (q15_t)0x7EFD, (q15_t)0x0FDD, (q15_t)0x7F03, + (q15_t)0x0FAB, (q15_t)0x7F09, (q15_t)0x0F79, (q15_t)0x7F0F, + (q15_t)0x0F47, (q15_t)0x7F15, (q15_t)0x0F15, (q15_t)0x7F1B, + (q15_t)0x0EE3, (q15_t)0x7F21, (q15_t)0x0EB1, (q15_t)0x7F27, + (q15_t)0x0E7F, (q15_t)0x7F2D, (q15_t)0x0E4D, (q15_t)0x7F32, + (q15_t)0x0E1B, (q15_t)0x7F38, (q15_t)0x0DE9, (q15_t)0x7F3D, + (q15_t)0x0DB7, (q15_t)0x7F43, (q15_t)0x0D85, (q15_t)0x7F48, + (q15_t)0x0D53, (q15_t)0x7F4D, (q15_t)0x0D21, (q15_t)0x7F53, + (q15_t)0x0CEF, (q15_t)0x7F58, (q15_t)0x0CBD, (q15_t)0x7F5D, + (q15_t)0x0C8B, (q15_t)0x7F62, (q15_t)0x0C59, (q15_t)0x7F67, + (q15_t)0x0C27, (q15_t)0x7F6B, (q15_t)0x0BF5, (q15_t)0x7F70, + (q15_t)0x0BC3, (q15_t)0x7F75, (q15_t)0x0B91, (q15_t)0x7F79, + (q15_t)0x0B5F, (q15_t)0x7F7E, (q15_t)0x0B2D, (q15_t)0x7F82, + (q15_t)0x0AFB, (q15_t)0x7F87, (q15_t)0x0AC9, (q15_t)0x7F8B, + (q15_t)0x0A97, (q15_t)0x7F8F, (q15_t)0x0A65, (q15_t)0x7F93, + (q15_t)0x0A33, (q15_t)0x7F97, (q15_t)0x0A00, (q15_t)0x7F9B, + (q15_t)0x09CE, (q15_t)0x7F9F, (q15_t)0x099C, (q15_t)0x7FA3, + (q15_t)0x096A, (q15_t)0x7FA7, (q15_t)0x0938, (q15_t)0x7FAA, + (q15_t)0x0906, (q15_t)0x7FAE, (q15_t)0x08D4, (q15_t)0x7FB1, + (q15_t)0x08A2, (q15_t)0x7FB5, (q15_t)0x086F, (q15_t)0x7FB8, + (q15_t)0x083D, (q15_t)0x7FBC, (q15_t)0x080B, (q15_t)0x7FBF, + (q15_t)0x07D9, (q15_t)0x7FC2, (q15_t)0x07A7, (q15_t)0x7FC5, + (q15_t)0x0775, (q15_t)0x7FC8, (q15_t)0x0742, (q15_t)0x7FCB, + (q15_t)0x0710, (q15_t)0x7FCE, (q15_t)0x06DE, (q15_t)0x7FD0, + (q15_t)0x06AC, (q15_t)0x7FD3, (q15_t)0x067A, (q15_t)0x7FD6, + (q15_t)0x0647, (q15_t)0x7FD8, (q15_t)0x0615, (q15_t)0x7FDA, + (q15_t)0x05E3, (q15_t)0x7FDD, (q15_t)0x05B1, (q15_t)0x7FDF, + (q15_t)0x057F, (q15_t)0x7FE1, (q15_t)0x054C, (q15_t)0x7FE3, + (q15_t)0x051A, (q15_t)0x7FE5, (q15_t)0x04E8, (q15_t)0x7FE7, + (q15_t)0x04B6, (q15_t)0x7FE9, (q15_t)0x0483, (q15_t)0x7FEB, + (q15_t)0x0451, (q15_t)0x7FED, (q15_t)0x041F, (q15_t)0x7FEE, + (q15_t)0x03ED, (q15_t)0x7FF0, (q15_t)0x03BA, (q15_t)0x7FF2, + (q15_t)0x0388, (q15_t)0x7FF3, (q15_t)0x0356, (q15_t)0x7FF4, + (q15_t)0x0324, (q15_t)0x7FF6, (q15_t)0x02F1, (q15_t)0x7FF7, + (q15_t)0x02BF, (q15_t)0x7FF8, (q15_t)0x028D, (q15_t)0x7FF9, + (q15_t)0x025B, (q15_t)0x7FFA, (q15_t)0x0228, (q15_t)0x7FFB, + (q15_t)0x01F6, (q15_t)0x7FFC, (q15_t)0x01C4, (q15_t)0x7FFC, + (q15_t)0x0192, (q15_t)0x7FFD, (q15_t)0x015F, (q15_t)0x7FFE, + (q15_t)0x012D, (q15_t)0x7FFE, (q15_t)0x00FB, (q15_t)0x7FFF, + (q15_t)0x00C9, (q15_t)0x7FFF, (q15_t)0x0096, (q15_t)0x7FFF, + (q15_t)0x0064, (q15_t)0x7FFF, (q15_t)0x0032, (q15_t)0x7FFF, + (q15_t)0x0000, (q15_t)0x7FFF, (q15_t)0xFFCD, (q15_t)0x7FFF, + (q15_t)0xFF9B, (q15_t)0x7FFF, (q15_t)0xFF69, (q15_t)0x7FFF, + (q15_t)0xFF36, (q15_t)0x7FFF, (q15_t)0xFF04, (q15_t)0x7FFF, + (q15_t)0xFED2, (q15_t)0x7FFE, (q15_t)0xFEA0, (q15_t)0x7FFE, + (q15_t)0xFE6D, (q15_t)0x7FFD, (q15_t)0xFE3B, (q15_t)0x7FFC, + (q15_t)0xFE09, (q15_t)0x7FFC, (q15_t)0xFDD7, (q15_t)0x7FFB, + (q15_t)0xFDA4, (q15_t)0x7FFA, (q15_t)0xFD72, (q15_t)0x7FF9, + (q15_t)0xFD40, (q15_t)0x7FF8, (q15_t)0xFD0E, (q15_t)0x7FF7, + (q15_t)0xFCDB, (q15_t)0x7FF6, (q15_t)0xFCA9, (q15_t)0x7FF4, + (q15_t)0xFC77, (q15_t)0x7FF3, (q15_t)0xFC45, (q15_t)0x7FF2, + (q15_t)0xFC12, (q15_t)0x7FF0, (q15_t)0xFBE0, (q15_t)0x7FEE, + (q15_t)0xFBAE, (q15_t)0x7FED, (q15_t)0xFB7C, (q15_t)0x7FEB, + (q15_t)0xFB49, (q15_t)0x7FE9, (q15_t)0xFB17, (q15_t)0x7FE7, + (q15_t)0xFAE5, (q15_t)0x7FE5, (q15_t)0xFAB3, (q15_t)0x7FE3, + (q15_t)0xFA80, (q15_t)0x7FE1, (q15_t)0xFA4E, (q15_t)0x7FDF, + (q15_t)0xFA1C, (q15_t)0x7FDD, (q15_t)0xF9EA, (q15_t)0x7FDA, + (q15_t)0xF9B8, (q15_t)0x7FD8, (q15_t)0xF985, (q15_t)0x7FD6, + (q15_t)0xF953, (q15_t)0x7FD3, (q15_t)0xF921, (q15_t)0x7FD0, + (q15_t)0xF8EF, (q15_t)0x7FCE, (q15_t)0xF8BD, (q15_t)0x7FCB, + (q15_t)0xF88A, (q15_t)0x7FC8, (q15_t)0xF858, (q15_t)0x7FC5, + (q15_t)0xF826, (q15_t)0x7FC2, (q15_t)0xF7F4, (q15_t)0x7FBF, + (q15_t)0xF7C2, (q15_t)0x7FBC, (q15_t)0xF790, (q15_t)0x7FB8, + (q15_t)0xF75D, (q15_t)0x7FB5, (q15_t)0xF72B, (q15_t)0x7FB1, + (q15_t)0xF6F9, (q15_t)0x7FAE, (q15_t)0xF6C7, (q15_t)0x7FAA, + (q15_t)0xF695, (q15_t)0x7FA7, (q15_t)0xF663, (q15_t)0x7FA3, + (q15_t)0xF631, (q15_t)0x7F9F, (q15_t)0xF5FF, (q15_t)0x7F9B, + (q15_t)0xF5CC, (q15_t)0x7F97, (q15_t)0xF59A, (q15_t)0x7F93, + (q15_t)0xF568, (q15_t)0x7F8F, (q15_t)0xF536, (q15_t)0x7F8B, + (q15_t)0xF504, (q15_t)0x7F87, (q15_t)0xF4D2, (q15_t)0x7F82, + (q15_t)0xF4A0, (q15_t)0x7F7E, (q15_t)0xF46E, (q15_t)0x7F79, + (q15_t)0xF43C, (q15_t)0x7F75, (q15_t)0xF40A, (q15_t)0x7F70, + (q15_t)0xF3D8, (q15_t)0x7F6B, (q15_t)0xF3A6, (q15_t)0x7F67, + (q15_t)0xF374, (q15_t)0x7F62, (q15_t)0xF342, (q15_t)0x7F5D, + (q15_t)0xF310, (q15_t)0x7F58, (q15_t)0xF2DE, (q15_t)0x7F53, + (q15_t)0xF2AC, (q15_t)0x7F4D, (q15_t)0xF27A, (q15_t)0x7F48, + (q15_t)0xF248, (q15_t)0x7F43, (q15_t)0xF216, (q15_t)0x7F3D, + (q15_t)0xF1E4, (q15_t)0x7F38, (q15_t)0xF1B2, (q15_t)0x7F32, + (q15_t)0xF180, (q15_t)0x7F2D, (q15_t)0xF14E, (q15_t)0x7F27, + (q15_t)0xF11C, (q15_t)0x7F21, (q15_t)0xF0EA, (q15_t)0x7F1B, + (q15_t)0xF0B8, (q15_t)0x7F15, (q15_t)0xF086, (q15_t)0x7F0F, + (q15_t)0xF054, (q15_t)0x7F09, (q15_t)0xF022, (q15_t)0x7F03, + (q15_t)0xEFF1, (q15_t)0x7EFD, (q15_t)0xEFBF, (q15_t)0x7EF6, + (q15_t)0xEF8D, (q15_t)0x7EF0, (q15_t)0xEF5B, (q15_t)0x7EE9, + (q15_t)0xEF29, (q15_t)0x7EE3, (q15_t)0xEEF7, (q15_t)0x7EDC, + (q15_t)0xEEC6, (q15_t)0x7ED5, (q15_t)0xEE94, (q15_t)0x7ECF, + (q15_t)0xEE62, (q15_t)0x7EC8, (q15_t)0xEE30, (q15_t)0x7EC1, + (q15_t)0xEDFE, (q15_t)0x7EBA, (q15_t)0xEDCD, (q15_t)0x7EB3, + (q15_t)0xED9B, (q15_t)0x7EAB, (q15_t)0xED69, (q15_t)0x7EA4, + (q15_t)0xED37, (q15_t)0x7E9D, (q15_t)0xED06, (q15_t)0x7E95, + (q15_t)0xECD4, (q15_t)0x7E8E, (q15_t)0xECA2, (q15_t)0x7E86, + (q15_t)0xEC71, (q15_t)0x7E7F, (q15_t)0xEC3F, (q15_t)0x7E77, + (q15_t)0xEC0D, (q15_t)0x7E6F, (q15_t)0xEBDC, (q15_t)0x7E67, + (q15_t)0xEBAA, (q15_t)0x7E5F, (q15_t)0xEB78, (q15_t)0x7E57, + (q15_t)0xEB47, (q15_t)0x7E4F, (q15_t)0xEB15, (q15_t)0x7E47, + (q15_t)0xEAE4, (q15_t)0x7E3F, (q15_t)0xEAB2, (q15_t)0x7E37, + (q15_t)0xEA80, (q15_t)0x7E2E, (q15_t)0xEA4F, (q15_t)0x7E26, + (q15_t)0xEA1D, (q15_t)0x7E1D, (q15_t)0xE9EC, (q15_t)0x7E14, + (q15_t)0xE9BA, (q15_t)0x7E0C, (q15_t)0xE989, (q15_t)0x7E03, + (q15_t)0xE957, (q15_t)0x7DFA, (q15_t)0xE926, (q15_t)0x7DF1, + (q15_t)0xE8F5, (q15_t)0x7DE8, (q15_t)0xE8C3, (q15_t)0x7DDF, + (q15_t)0xE892, (q15_t)0x7DD6, (q15_t)0xE860, (q15_t)0x7DCD, + (q15_t)0xE82F, (q15_t)0x7DC3, (q15_t)0xE7FD, (q15_t)0x7DBA, + (q15_t)0xE7CC, (q15_t)0x7DB0, (q15_t)0xE79B, (q15_t)0x7DA7, + (q15_t)0xE769, (q15_t)0x7D9D, (q15_t)0xE738, (q15_t)0x7D94, + (q15_t)0xE707, (q15_t)0x7D8A, (q15_t)0xE6D5, (q15_t)0x7D80, + (q15_t)0xE6A4, (q15_t)0x7D76, (q15_t)0xE673, (q15_t)0x7D6C, + (q15_t)0xE642, (q15_t)0x7D62, (q15_t)0xE610, (q15_t)0x7D58, + (q15_t)0xE5DF, (q15_t)0x7D4E, (q15_t)0xE5AE, (q15_t)0x7D43, + (q15_t)0xE57D, (q15_t)0x7D39, (q15_t)0xE54C, (q15_t)0x7D2F, + (q15_t)0xE51B, (q15_t)0x7D24, (q15_t)0xE4E9, (q15_t)0x7D19, + (q15_t)0xE4B8, (q15_t)0x7D0F, (q15_t)0xE487, (q15_t)0x7D04, + (q15_t)0xE456, (q15_t)0x7CF9, (q15_t)0xE425, (q15_t)0x7CEE, + (q15_t)0xE3F4, (q15_t)0x7CE3, (q15_t)0xE3C3, (q15_t)0x7CD8, + (q15_t)0xE392, (q15_t)0x7CCD, (q15_t)0xE361, (q15_t)0x7CC2, + (q15_t)0xE330, (q15_t)0x7CB7, (q15_t)0xE2FF, (q15_t)0x7CAB, + (q15_t)0xE2CE, (q15_t)0x7CA0, (q15_t)0xE29D, (q15_t)0x7C94, + (q15_t)0xE26C, (q15_t)0x7C89, (q15_t)0xE23B, (q15_t)0x7C7D, + (q15_t)0xE20A, (q15_t)0x7C71, (q15_t)0xE1DA, (q15_t)0x7C66, + (q15_t)0xE1A9, (q15_t)0x7C5A, (q15_t)0xE178, (q15_t)0x7C4E, + (q15_t)0xE147, (q15_t)0x7C42, (q15_t)0xE116, (q15_t)0x7C36, + (q15_t)0xE0E6, (q15_t)0x7C29, (q15_t)0xE0B5, (q15_t)0x7C1D, + (q15_t)0xE084, (q15_t)0x7C11, (q15_t)0xE053, (q15_t)0x7C05, + (q15_t)0xE023, (q15_t)0x7BF8, (q15_t)0xDFF2, (q15_t)0x7BEB, + (q15_t)0xDFC1, (q15_t)0x7BDF, (q15_t)0xDF91, (q15_t)0x7BD2, + (q15_t)0xDF60, (q15_t)0x7BC5, (q15_t)0xDF2F, (q15_t)0x7BB9, + (q15_t)0xDEFF, (q15_t)0x7BAC, (q15_t)0xDECE, (q15_t)0x7B9F, + (q15_t)0xDE9E, (q15_t)0x7B92, (q15_t)0xDE6D, (q15_t)0x7B84, + (q15_t)0xDE3D, (q15_t)0x7B77, (q15_t)0xDE0C, (q15_t)0x7B6A, + (q15_t)0xDDDC, (q15_t)0x7B5D, (q15_t)0xDDAB, (q15_t)0x7B4F, + (q15_t)0xDD7B, (q15_t)0x7B42, (q15_t)0xDD4B, (q15_t)0x7B34, + (q15_t)0xDD1A, (q15_t)0x7B26, (q15_t)0xDCEA, (q15_t)0x7B19, + (q15_t)0xDCBA, (q15_t)0x7B0B, (q15_t)0xDC89, (q15_t)0x7AFD, + (q15_t)0xDC59, (q15_t)0x7AEF, (q15_t)0xDC29, (q15_t)0x7AE1, + (q15_t)0xDBF8, (q15_t)0x7AD3, (q15_t)0xDBC8, (q15_t)0x7AC5, + (q15_t)0xDB98, (q15_t)0x7AB6, (q15_t)0xDB68, (q15_t)0x7AA8, + (q15_t)0xDB38, (q15_t)0x7A9A, (q15_t)0xDB08, (q15_t)0x7A8B, + (q15_t)0xDAD7, (q15_t)0x7A7D, (q15_t)0xDAA7, (q15_t)0x7A6E, + (q15_t)0xDA77, (q15_t)0x7A5F, (q15_t)0xDA47, (q15_t)0x7A50, + (q15_t)0xDA17, (q15_t)0x7A42, (q15_t)0xD9E7, (q15_t)0x7A33, + (q15_t)0xD9B7, (q15_t)0x7A24, (q15_t)0xD987, (q15_t)0x7A15, + (q15_t)0xD957, (q15_t)0x7A05, (q15_t)0xD927, (q15_t)0x79F6, + (q15_t)0xD8F8, (q15_t)0x79E7, (q15_t)0xD8C8, (q15_t)0x79D8, + (q15_t)0xD898, (q15_t)0x79C8, (q15_t)0xD868, (q15_t)0x79B9, + (q15_t)0xD838, (q15_t)0x79A9, (q15_t)0xD809, (q15_t)0x7999, + (q15_t)0xD7D9, (q15_t)0x798A, (q15_t)0xD7A9, (q15_t)0x797A, + (q15_t)0xD779, (q15_t)0x796A, (q15_t)0xD74A, (q15_t)0x795A, + (q15_t)0xD71A, (q15_t)0x794A, (q15_t)0xD6EA, (q15_t)0x793A, + (q15_t)0xD6BB, (q15_t)0x792A, (q15_t)0xD68B, (q15_t)0x7919, + (q15_t)0xD65C, (q15_t)0x7909, (q15_t)0xD62C, (q15_t)0x78F9, + (q15_t)0xD5FD, (q15_t)0x78E8, (q15_t)0xD5CD, (q15_t)0x78D8, + (q15_t)0xD59E, (q15_t)0x78C7, (q15_t)0xD56E, (q15_t)0x78B6, + (q15_t)0xD53F, (q15_t)0x78A6, (q15_t)0xD510, (q15_t)0x7895, + (q15_t)0xD4E0, (q15_t)0x7884, (q15_t)0xD4B1, (q15_t)0x7873, + (q15_t)0xD482, (q15_t)0x7862, (q15_t)0xD452, (q15_t)0x7851, + (q15_t)0xD423, (q15_t)0x7840, (q15_t)0xD3F4, (q15_t)0x782E, + (q15_t)0xD3C5, (q15_t)0x781D, (q15_t)0xD396, (q15_t)0x780C, + (q15_t)0xD367, (q15_t)0x77FA, (q15_t)0xD337, (q15_t)0x77E9, + (q15_t)0xD308, (q15_t)0x77D7, (q15_t)0xD2D9, (q15_t)0x77C5, + (q15_t)0xD2AA, (q15_t)0x77B4, (q15_t)0xD27B, (q15_t)0x77A2, + (q15_t)0xD24C, (q15_t)0x7790, (q15_t)0xD21D, (q15_t)0x777E, + (q15_t)0xD1EE, (q15_t)0x776C, (q15_t)0xD1C0, (q15_t)0x775A, + (q15_t)0xD191, (q15_t)0x7747, (q15_t)0xD162, (q15_t)0x7735, + (q15_t)0xD133, (q15_t)0x7723, (q15_t)0xD104, (q15_t)0x7710, + (q15_t)0xD0D6, (q15_t)0x76FE, (q15_t)0xD0A7, (q15_t)0x76EB, + (q15_t)0xD078, (q15_t)0x76D9, (q15_t)0xD04A, (q15_t)0x76C6, + (q15_t)0xD01B, (q15_t)0x76B3, (q15_t)0xCFEC, (q15_t)0x76A0, + (q15_t)0xCFBE, (q15_t)0x768E, (q15_t)0xCF8F, (q15_t)0x767B, + (q15_t)0xCF61, (q15_t)0x7668, (q15_t)0xCF32, (q15_t)0x7654, + (q15_t)0xCF04, (q15_t)0x7641, (q15_t)0xCED5, (q15_t)0x762E, + (q15_t)0xCEA7, (q15_t)0x761B, (q15_t)0xCE79, (q15_t)0x7607, + (q15_t)0xCE4A, (q15_t)0x75F4, (q15_t)0xCE1C, (q15_t)0x75E0, + (q15_t)0xCDEE, (q15_t)0x75CC, (q15_t)0xCDBF, (q15_t)0x75B9, + (q15_t)0xCD91, (q15_t)0x75A5, (q15_t)0xCD63, (q15_t)0x7591, + (q15_t)0xCD35, (q15_t)0x757D, (q15_t)0xCD07, (q15_t)0x7569, + (q15_t)0xCCD9, (q15_t)0x7555, (q15_t)0xCCAB, (q15_t)0x7541, + (q15_t)0xCC7D, (q15_t)0x752D, (q15_t)0xCC4F, (q15_t)0x7519, + (q15_t)0xCC21, (q15_t)0x7504, (q15_t)0xCBF3, (q15_t)0x74F0, + (q15_t)0xCBC5, (q15_t)0x74DB, (q15_t)0xCB97, (q15_t)0x74C7, + (q15_t)0xCB69, (q15_t)0x74B2, (q15_t)0xCB3B, (q15_t)0x749E, + (q15_t)0xCB0D, (q15_t)0x7489, (q15_t)0xCAE0, (q15_t)0x7474, + (q15_t)0xCAB2, (q15_t)0x745F, (q15_t)0xCA84, (q15_t)0x744A, + (q15_t)0xCA57, (q15_t)0x7435, (q15_t)0xCA29, (q15_t)0x7420, + (q15_t)0xC9FB, (q15_t)0x740B, (q15_t)0xC9CE, (q15_t)0x73F6, + (q15_t)0xC9A0, (q15_t)0x73E0, (q15_t)0xC973, (q15_t)0x73CB, + (q15_t)0xC945, (q15_t)0x73B5, (q15_t)0xC918, (q15_t)0x73A0, + (q15_t)0xC8EB, (q15_t)0x738A, (q15_t)0xC8BD, (q15_t)0x7375, + (q15_t)0xC890, (q15_t)0x735F, (q15_t)0xC863, (q15_t)0x7349, + (q15_t)0xC835, (q15_t)0x7333, (q15_t)0xC808, (q15_t)0x731D, + (q15_t)0xC7DB, (q15_t)0x7307, (q15_t)0xC7AE, (q15_t)0x72F1, + (q15_t)0xC781, (q15_t)0x72DB, (q15_t)0xC754, (q15_t)0x72C5, + (q15_t)0xC727, (q15_t)0x72AF, (q15_t)0xC6F9, (q15_t)0x7298, + (q15_t)0xC6CD, (q15_t)0x7282, (q15_t)0xC6A0, (q15_t)0x726B, + (q15_t)0xC673, (q15_t)0x7255, (q15_t)0xC646, (q15_t)0x723E, + (q15_t)0xC619, (q15_t)0x7227, (q15_t)0xC5EC, (q15_t)0x7211, + (q15_t)0xC5BF, (q15_t)0x71FA, (q15_t)0xC593, (q15_t)0x71E3, + (q15_t)0xC566, (q15_t)0x71CC, (q15_t)0xC539, (q15_t)0x71B5, + (q15_t)0xC50D, (q15_t)0x719E, (q15_t)0xC4E0, (q15_t)0x7186, + (q15_t)0xC4B3, (q15_t)0x716F, (q15_t)0xC487, (q15_t)0x7158, + (q15_t)0xC45A, (q15_t)0x7141, (q15_t)0xC42E, (q15_t)0x7129, + (q15_t)0xC402, (q15_t)0x7112, (q15_t)0xC3D5, (q15_t)0x70FA, + (q15_t)0xC3A9, (q15_t)0x70E2, (q15_t)0xC37C, (q15_t)0x70CB, + (q15_t)0xC350, (q15_t)0x70B3, (q15_t)0xC324, (q15_t)0x709B, + (q15_t)0xC2F8, (q15_t)0x7083, (q15_t)0xC2CC, (q15_t)0x706B, + (q15_t)0xC29F, (q15_t)0x7053, (q15_t)0xC273, (q15_t)0x703B, + (q15_t)0xC247, (q15_t)0x7023, (q15_t)0xC21B, (q15_t)0x700A, + (q15_t)0xC1EF, (q15_t)0x6FF2, (q15_t)0xC1C3, (q15_t)0x6FDA, + (q15_t)0xC197, (q15_t)0x6FC1, (q15_t)0xC16C, (q15_t)0x6FA9, + (q15_t)0xC140, (q15_t)0x6F90, (q15_t)0xC114, (q15_t)0x6F77, + (q15_t)0xC0E8, (q15_t)0x6F5F, (q15_t)0xC0BC, (q15_t)0x6F46, + (q15_t)0xC091, (q15_t)0x6F2D, (q15_t)0xC065, (q15_t)0x6F14, + (q15_t)0xC03A, (q15_t)0x6EFB, (q15_t)0xC00E, (q15_t)0x6EE2, + (q15_t)0xBFE2, (q15_t)0x6EC9, (q15_t)0xBFB7, (q15_t)0x6EAF, + (q15_t)0xBF8C, (q15_t)0x6E96, (q15_t)0xBF60, (q15_t)0x6E7D, + (q15_t)0xBF35, (q15_t)0x6E63, (q15_t)0xBF09, (q15_t)0x6E4A, + (q15_t)0xBEDE, (q15_t)0x6E30, (q15_t)0xBEB3, (q15_t)0x6E17, + (q15_t)0xBE88, (q15_t)0x6DFD, (q15_t)0xBE5D, (q15_t)0x6DE3, + (q15_t)0xBE31, (q15_t)0x6DCA, (q15_t)0xBE06, (q15_t)0x6DB0, + (q15_t)0xBDDB, (q15_t)0x6D96, (q15_t)0xBDB0, (q15_t)0x6D7C, + (q15_t)0xBD85, (q15_t)0x6D62, (q15_t)0xBD5A, (q15_t)0x6D48, + (q15_t)0xBD2F, (q15_t)0x6D2D, (q15_t)0xBD05, (q15_t)0x6D13, + (q15_t)0xBCDA, (q15_t)0x6CF9, (q15_t)0xBCAF, (q15_t)0x6CDE, + (q15_t)0xBC84, (q15_t)0x6CC4, (q15_t)0xBC5A, (q15_t)0x6CA9, + (q15_t)0xBC2F, (q15_t)0x6C8F, (q15_t)0xBC04, (q15_t)0x6C74, + (q15_t)0xBBDA, (q15_t)0x6C59, (q15_t)0xBBAF, (q15_t)0x6C3F, + (q15_t)0xBB85, (q15_t)0x6C24, (q15_t)0xBB5A, (q15_t)0x6C09, + (q15_t)0xBB30, (q15_t)0x6BEE, (q15_t)0xBB05, (q15_t)0x6BD3, + (q15_t)0xBADB, (q15_t)0x6BB8, (q15_t)0xBAB1, (q15_t)0x6B9C, + (q15_t)0xBA87, (q15_t)0x6B81, (q15_t)0xBA5C, (q15_t)0x6B66, + (q15_t)0xBA32, (q15_t)0x6B4A, (q15_t)0xBA08, (q15_t)0x6B2F, + (q15_t)0xB9DE, (q15_t)0x6B13, (q15_t)0xB9B4, (q15_t)0x6AF8, + (q15_t)0xB98A, (q15_t)0x6ADC, (q15_t)0xB960, (q15_t)0x6AC1, + (q15_t)0xB936, (q15_t)0x6AA5, (q15_t)0xB90C, (q15_t)0x6A89, + (q15_t)0xB8E3, (q15_t)0x6A6D, (q15_t)0xB8B9, (q15_t)0x6A51, + (q15_t)0xB88F, (q15_t)0x6A35, (q15_t)0xB865, (q15_t)0x6A19, + (q15_t)0xB83C, (q15_t)0x69FD, (q15_t)0xB812, (q15_t)0x69E1, + (q15_t)0xB7E9, (q15_t)0x69C4, (q15_t)0xB7BF, (q15_t)0x69A8, + (q15_t)0xB796, (q15_t)0x698C, (q15_t)0xB76C, (q15_t)0x696F, + (q15_t)0xB743, (q15_t)0x6953, (q15_t)0xB719, (q15_t)0x6936, + (q15_t)0xB6F0, (q15_t)0x6919, (q15_t)0xB6C7, (q15_t)0x68FD, + (q15_t)0xB69E, (q15_t)0x68E0, (q15_t)0xB675, (q15_t)0x68C3, + (q15_t)0xB64B, (q15_t)0x68A6, (q15_t)0xB622, (q15_t)0x6889, + (q15_t)0xB5F9, (q15_t)0x686C, (q15_t)0xB5D0, (q15_t)0x684F, + (q15_t)0xB5A7, (q15_t)0x6832, (q15_t)0xB57E, (q15_t)0x6815, + (q15_t)0xB556, (q15_t)0x67F7, (q15_t)0xB52D, (q15_t)0x67DA, + (q15_t)0xB504, (q15_t)0x67BD, (q15_t)0xB4DB, (q15_t)0x679F, + (q15_t)0xB4B3, (q15_t)0x6782, (q15_t)0xB48A, (q15_t)0x6764, + (q15_t)0xB461, (q15_t)0x6746, (q15_t)0xB439, (q15_t)0x6729, + (q15_t)0xB410, (q15_t)0x670B, (q15_t)0xB3E8, (q15_t)0x66ED, + (q15_t)0xB3C0, (q15_t)0x66CF, (q15_t)0xB397, (q15_t)0x66B1, + (q15_t)0xB36F, (q15_t)0x6693, (q15_t)0xB347, (q15_t)0x6675, + (q15_t)0xB31E, (q15_t)0x6657, (q15_t)0xB2F6, (q15_t)0x6639, + (q15_t)0xB2CE, (q15_t)0x661A, (q15_t)0xB2A6, (q15_t)0x65FC, + (q15_t)0xB27E, (q15_t)0x65DD, (q15_t)0xB256, (q15_t)0x65BF, + (q15_t)0xB22E, (q15_t)0x65A0, (q15_t)0xB206, (q15_t)0x6582, + (q15_t)0xB1DE, (q15_t)0x6563, (q15_t)0xB1B7, (q15_t)0x6545, + (q15_t)0xB18F, (q15_t)0x6526, (q15_t)0xB167, (q15_t)0x6507, + (q15_t)0xB140, (q15_t)0x64E8, (q15_t)0xB118, (q15_t)0x64C9, + (q15_t)0xB0F0, (q15_t)0x64AA, (q15_t)0xB0C9, (q15_t)0x648B, + (q15_t)0xB0A1, (q15_t)0x646C, (q15_t)0xB07A, (q15_t)0x644D, + (q15_t)0xB053, (q15_t)0x642D, (q15_t)0xB02B, (q15_t)0x640E, + (q15_t)0xB004, (q15_t)0x63EF, (q15_t)0xAFDD, (q15_t)0x63CF, + (q15_t)0xAFB6, (q15_t)0x63B0, (q15_t)0xAF8F, (q15_t)0x6390, + (q15_t)0xAF68, (q15_t)0x6371, (q15_t)0xAF40, (q15_t)0x6351, + (q15_t)0xAF1A, (q15_t)0x6331, (q15_t)0xAEF3, (q15_t)0x6311, + (q15_t)0xAECC, (q15_t)0x62F2, (q15_t)0xAEA5, (q15_t)0x62D2, + (q15_t)0xAE7E, (q15_t)0x62B2, (q15_t)0xAE57, (q15_t)0x6292, + (q15_t)0xAE31, (q15_t)0x6271, (q15_t)0xAE0A, (q15_t)0x6251, + (q15_t)0xADE3, (q15_t)0x6231, (q15_t)0xADBD, (q15_t)0x6211, + (q15_t)0xAD96, (q15_t)0x61F1, (q15_t)0xAD70, (q15_t)0x61D0, + (q15_t)0xAD4A, (q15_t)0x61B0, (q15_t)0xAD23, (q15_t)0x618F, + (q15_t)0xACFD, (q15_t)0x616F, (q15_t)0xACD7, (q15_t)0x614E, + (q15_t)0xACB1, (q15_t)0x612D, (q15_t)0xAC8A, (q15_t)0x610D, + (q15_t)0xAC64, (q15_t)0x60EC, (q15_t)0xAC3E, (q15_t)0x60CB, + (q15_t)0xAC18, (q15_t)0x60AA, (q15_t)0xABF2, (q15_t)0x6089, + (q15_t)0xABCC, (q15_t)0x6068, (q15_t)0xABA7, (q15_t)0x6047, + (q15_t)0xAB81, (q15_t)0x6026, (q15_t)0xAB5B, (q15_t)0x6004, + (q15_t)0xAB35, (q15_t)0x5FE3, (q15_t)0xAB10, (q15_t)0x5FC2, + (q15_t)0xAAEA, (q15_t)0x5FA0, (q15_t)0xAAC5, (q15_t)0x5F7F, + (q15_t)0xAA9F, (q15_t)0x5F5E, (q15_t)0xAA7A, (q15_t)0x5F3C, + (q15_t)0xAA54, (q15_t)0x5F1A, (q15_t)0xAA2F, (q15_t)0x5EF9, + (q15_t)0xAA0A, (q15_t)0x5ED7, (q15_t)0xA9E5, (q15_t)0x5EB5, + (q15_t)0xA9BF, (q15_t)0x5E93, (q15_t)0xA99A, (q15_t)0x5E71, + (q15_t)0xA975, (q15_t)0x5E50, (q15_t)0xA950, (q15_t)0x5E2D, + (q15_t)0xA92B, (q15_t)0x5E0B, (q15_t)0xA906, (q15_t)0x5DE9, + (q15_t)0xA8E2, (q15_t)0x5DC7, (q15_t)0xA8BD, (q15_t)0x5DA5, + (q15_t)0xA898, (q15_t)0x5D83, (q15_t)0xA873, (q15_t)0x5D60, + (q15_t)0xA84F, (q15_t)0x5D3E, (q15_t)0xA82A, (q15_t)0x5D1B, + (q15_t)0xA806, (q15_t)0x5CF9, (q15_t)0xA7E1, (q15_t)0x5CD6, + (q15_t)0xA7BD, (q15_t)0x5CB4, (q15_t)0xA798, (q15_t)0x5C91, + (q15_t)0xA774, (q15_t)0x5C6E, (q15_t)0xA750, (q15_t)0x5C4B, + (q15_t)0xA72B, (q15_t)0x5C29, (q15_t)0xA707, (q15_t)0x5C06, + (q15_t)0xA6E3, (q15_t)0x5BE3, (q15_t)0xA6BF, (q15_t)0x5BC0, + (q15_t)0xA69B, (q15_t)0x5B9D, (q15_t)0xA677, (q15_t)0x5B79, + (q15_t)0xA653, (q15_t)0x5B56, (q15_t)0xA62F, (q15_t)0x5B33, + (q15_t)0xA60C, (q15_t)0x5B10, (q15_t)0xA5E8, (q15_t)0x5AEC, + (q15_t)0xA5C4, (q15_t)0x5AC9, (q15_t)0xA5A1, (q15_t)0x5AA5, + (q15_t)0xA57D, (q15_t)0x5A82, (q15_t)0xA55A, (q15_t)0x5A5E, + (q15_t)0xA536, (q15_t)0x5A3B, (q15_t)0xA513, (q15_t)0x5A17, + (q15_t)0xA4EF, (q15_t)0x59F3, (q15_t)0xA4CC, (q15_t)0x59D0, + (q15_t)0xA4A9, (q15_t)0x59AC, (q15_t)0xA486, (q15_t)0x5988, + (q15_t)0xA462, (q15_t)0x5964, (q15_t)0xA43F, (q15_t)0x5940, + (q15_t)0xA41C, (q15_t)0x591C, (q15_t)0xA3F9, (q15_t)0x58F8, + (q15_t)0xA3D6, (q15_t)0x58D4, (q15_t)0xA3B4, (q15_t)0x58AF, + (q15_t)0xA391, (q15_t)0x588B, (q15_t)0xA36E, (q15_t)0x5867, + (q15_t)0xA34B, (q15_t)0x5842, (q15_t)0xA329, (q15_t)0x581E, + (q15_t)0xA306, (q15_t)0x57F9, (q15_t)0xA2E4, (q15_t)0x57D5, + (q15_t)0xA2C1, (q15_t)0x57B0, (q15_t)0xA29F, (q15_t)0x578C, + (q15_t)0xA27C, (q15_t)0x5767, (q15_t)0xA25A, (q15_t)0x5742, + (q15_t)0xA238, (q15_t)0x571D, (q15_t)0xA216, (q15_t)0x56F9, + (q15_t)0xA1F4, (q15_t)0x56D4, (q15_t)0xA1D2, (q15_t)0x56AF, + (q15_t)0xA1AF, (q15_t)0x568A, (q15_t)0xA18E, (q15_t)0x5665, + (q15_t)0xA16C, (q15_t)0x5640, (q15_t)0xA14A, (q15_t)0x561A, + (q15_t)0xA128, (q15_t)0x55F5, (q15_t)0xA106, (q15_t)0x55D0, + (q15_t)0xA0E5, (q15_t)0x55AB, (q15_t)0xA0C3, (q15_t)0x5585, + (q15_t)0xA0A1, (q15_t)0x5560, (q15_t)0xA080, (q15_t)0x553A, + (q15_t)0xA05F, (q15_t)0x5515, (q15_t)0xA03D, (q15_t)0x54EF, + (q15_t)0xA01C, (q15_t)0x54CA, (q15_t)0x9FFB, (q15_t)0x54A4, + (q15_t)0x9FD9, (q15_t)0x547E, (q15_t)0x9FB8, (q15_t)0x5458, + (q15_t)0x9F97, (q15_t)0x5433, (q15_t)0x9F76, (q15_t)0x540D, + (q15_t)0x9F55, (q15_t)0x53E7, (q15_t)0x9F34, (q15_t)0x53C1, + (q15_t)0x9F13, (q15_t)0x539B, (q15_t)0x9EF2, (q15_t)0x5375, + (q15_t)0x9ED2, (q15_t)0x534E, (q15_t)0x9EB1, (q15_t)0x5328, + (q15_t)0x9E90, (q15_t)0x5302, (q15_t)0x9E70, (q15_t)0x52DC, + (q15_t)0x9E4F, (q15_t)0x52B5, (q15_t)0x9E2F, (q15_t)0x528F, + (q15_t)0x9E0E, (q15_t)0x5269, (q15_t)0x9DEE, (q15_t)0x5242, + (q15_t)0x9DCE, (q15_t)0x521C, (q15_t)0x9DAE, (q15_t)0x51F5, + (q15_t)0x9D8E, (q15_t)0x51CE, (q15_t)0x9D6D, (q15_t)0x51A8, + (q15_t)0x9D4D, (q15_t)0x5181, (q15_t)0x9D2D, (q15_t)0x515A, + (q15_t)0x9D0D, (q15_t)0x5133, (q15_t)0x9CEE, (q15_t)0x510C, + (q15_t)0x9CCE, (q15_t)0x50E5, (q15_t)0x9CAE, (q15_t)0x50BF, + (q15_t)0x9C8E, (q15_t)0x5097, (q15_t)0x9C6F, (q15_t)0x5070, + (q15_t)0x9C4F, (q15_t)0x5049, (q15_t)0x9C30, (q15_t)0x5022, + (q15_t)0x9C10, (q15_t)0x4FFB, (q15_t)0x9BF1, (q15_t)0x4FD4, + (q15_t)0x9BD2, (q15_t)0x4FAC, (q15_t)0x9BB2, (q15_t)0x4F85, + (q15_t)0x9B93, (q15_t)0x4F5E, (q15_t)0x9B74, (q15_t)0x4F36, + (q15_t)0x9B55, (q15_t)0x4F0F, (q15_t)0x9B36, (q15_t)0x4EE7, + (q15_t)0x9B17, (q15_t)0x4EBF, (q15_t)0x9AF8, (q15_t)0x4E98, + (q15_t)0x9AD9, (q15_t)0x4E70, (q15_t)0x9ABA, (q15_t)0x4E48, + (q15_t)0x9A9C, (q15_t)0x4E21, (q15_t)0x9A7D, (q15_t)0x4DF9, + (q15_t)0x9A5F, (q15_t)0x4DD1, (q15_t)0x9A40, (q15_t)0x4DA9, + (q15_t)0x9A22, (q15_t)0x4D81, (q15_t)0x9A03, (q15_t)0x4D59, + (q15_t)0x99E5, (q15_t)0x4D31, (q15_t)0x99C6, (q15_t)0x4D09, + (q15_t)0x99A8, (q15_t)0x4CE1, (q15_t)0x998A, (q15_t)0x4CB8, + (q15_t)0x996C, (q15_t)0x4C90, (q15_t)0x994E, (q15_t)0x4C68, + (q15_t)0x9930, (q15_t)0x4C3F, (q15_t)0x9912, (q15_t)0x4C17, + (q15_t)0x98F4, (q15_t)0x4BEF, (q15_t)0x98D6, (q15_t)0x4BC6, + (q15_t)0x98B9, (q15_t)0x4B9E, (q15_t)0x989B, (q15_t)0x4B75, + (q15_t)0x987D, (q15_t)0x4B4C, (q15_t)0x9860, (q15_t)0x4B24, + (q15_t)0x9842, (q15_t)0x4AFB, (q15_t)0x9825, (q15_t)0x4AD2, + (q15_t)0x9808, (q15_t)0x4AA9, (q15_t)0x97EA, (q15_t)0x4A81, + (q15_t)0x97CD, (q15_t)0x4A58, (q15_t)0x97B0, (q15_t)0x4A2F, + (q15_t)0x9793, (q15_t)0x4A06, (q15_t)0x9776, (q15_t)0x49DD, + (q15_t)0x9759, (q15_t)0x49B4, (q15_t)0x973C, (q15_t)0x498A, + (q15_t)0x971F, (q15_t)0x4961, (q15_t)0x9702, (q15_t)0x4938, + (q15_t)0x96E6, (q15_t)0x490F, (q15_t)0x96C9, (q15_t)0x48E6, + (q15_t)0x96AC, (q15_t)0x48BC, (q15_t)0x9690, (q15_t)0x4893, + (q15_t)0x9673, (q15_t)0x4869, (q15_t)0x9657, (q15_t)0x4840, + (q15_t)0x963B, (q15_t)0x4816, (q15_t)0x961E, (q15_t)0x47ED, + (q15_t)0x9602, (q15_t)0x47C3, (q15_t)0x95E6, (q15_t)0x479A, + (q15_t)0x95CA, (q15_t)0x4770, (q15_t)0x95AE, (q15_t)0x4746, + (q15_t)0x9592, (q15_t)0x471C, (q15_t)0x9576, (q15_t)0x46F3, + (q15_t)0x955A, (q15_t)0x46C9, (q15_t)0x953E, (q15_t)0x469F, + (q15_t)0x9523, (q15_t)0x4675, (q15_t)0x9507, (q15_t)0x464B, + (q15_t)0x94EC, (q15_t)0x4621, (q15_t)0x94D0, (q15_t)0x45F7, + (q15_t)0x94B5, (q15_t)0x45CD, (q15_t)0x9499, (q15_t)0x45A3, + (q15_t)0x947E, (q15_t)0x4578, (q15_t)0x9463, (q15_t)0x454E, + (q15_t)0x9447, (q15_t)0x4524, (q15_t)0x942C, (q15_t)0x44FA, + (q15_t)0x9411, (q15_t)0x44CF, (q15_t)0x93F6, (q15_t)0x44A5, + (q15_t)0x93DB, (q15_t)0x447A, (q15_t)0x93C0, (q15_t)0x4450, + (q15_t)0x93A6, (q15_t)0x4425, (q15_t)0x938B, (q15_t)0x43FB, + (q15_t)0x9370, (q15_t)0x43D0, (q15_t)0x9356, (q15_t)0x43A5, + (q15_t)0x933B, (q15_t)0x437B, (q15_t)0x9321, (q15_t)0x4350, + (q15_t)0x9306, (q15_t)0x4325, (q15_t)0x92EC, (q15_t)0x42FA, + (q15_t)0x92D2, (q15_t)0x42D0, (q15_t)0x92B7, (q15_t)0x42A5, + (q15_t)0x929D, (q15_t)0x427A, (q15_t)0x9283, (q15_t)0x424F, + (q15_t)0x9269, (q15_t)0x4224, (q15_t)0x924F, (q15_t)0x41F9, + (q15_t)0x9235, (q15_t)0x41CE, (q15_t)0x921C, (q15_t)0x41A2, + (q15_t)0x9202, (q15_t)0x4177, (q15_t)0x91E8, (q15_t)0x414C, + (q15_t)0x91CF, (q15_t)0x4121, (q15_t)0x91B5, (q15_t)0x40F6, + (q15_t)0x919C, (q15_t)0x40CA, (q15_t)0x9182, (q15_t)0x409F, + (q15_t)0x9169, (q15_t)0x4073, (q15_t)0x9150, (q15_t)0x4048, + (q15_t)0x9136, (q15_t)0x401D, (q15_t)0x911D, (q15_t)0x3FF1, + (q15_t)0x9104, (q15_t)0x3FC5, (q15_t)0x90EB, (q15_t)0x3F9A, + (q15_t)0x90D2, (q15_t)0x3F6E, (q15_t)0x90B9, (q15_t)0x3F43, + (q15_t)0x90A0, (q15_t)0x3F17, (q15_t)0x9088, (q15_t)0x3EEB, + (q15_t)0x906F, (q15_t)0x3EBF, (q15_t)0x9056, (q15_t)0x3E93, + (q15_t)0x903E, (q15_t)0x3E68, (q15_t)0x9025, (q15_t)0x3E3C, + (q15_t)0x900D, (q15_t)0x3E10, (q15_t)0x8FF5, (q15_t)0x3DE4, + (q15_t)0x8FDC, (q15_t)0x3DB8, (q15_t)0x8FC4, (q15_t)0x3D8C, + (q15_t)0x8FAC, (q15_t)0x3D60, (q15_t)0x8F94, (q15_t)0x3D33, + (q15_t)0x8F7C, (q15_t)0x3D07, (q15_t)0x8F64, (q15_t)0x3CDB, + (q15_t)0x8F4C, (q15_t)0x3CAF, (q15_t)0x8F34, (q15_t)0x3C83, + (q15_t)0x8F1D, (q15_t)0x3C56, (q15_t)0x8F05, (q15_t)0x3C2A, + (q15_t)0x8EED, (q15_t)0x3BFD, (q15_t)0x8ED6, (q15_t)0x3BD1, + (q15_t)0x8EBE, (q15_t)0x3BA5, (q15_t)0x8EA7, (q15_t)0x3B78, + (q15_t)0x8E90, (q15_t)0x3B4C, (q15_t)0x8E79, (q15_t)0x3B1F, + (q15_t)0x8E61, (q15_t)0x3AF2, (q15_t)0x8E4A, (q15_t)0x3AC6, + (q15_t)0x8E33, (q15_t)0x3A99, (q15_t)0x8E1C, (q15_t)0x3A6C, + (q15_t)0x8E05, (q15_t)0x3A40, (q15_t)0x8DEE, (q15_t)0x3A13, + (q15_t)0x8DD8, (q15_t)0x39E6, (q15_t)0x8DC1, (q15_t)0x39B9, + (q15_t)0x8DAA, (q15_t)0x398C, (q15_t)0x8D94, (q15_t)0x395F, + (q15_t)0x8D7D, (q15_t)0x3932, (q15_t)0x8D67, (q15_t)0x3906, + (q15_t)0x8D50, (q15_t)0x38D8, (q15_t)0x8D3A, (q15_t)0x38AB, + (q15_t)0x8D24, (q15_t)0x387E, (q15_t)0x8D0E, (q15_t)0x3851, + (q15_t)0x8CF8, (q15_t)0x3824, (q15_t)0x8CE2, (q15_t)0x37F7, + (q15_t)0x8CCC, (q15_t)0x37CA, (q15_t)0x8CB6, (q15_t)0x379C, + (q15_t)0x8CA0, (q15_t)0x376F, (q15_t)0x8C8A, (q15_t)0x3742, + (q15_t)0x8C75, (q15_t)0x3714, (q15_t)0x8C5F, (q15_t)0x36E7, + (q15_t)0x8C4A, (q15_t)0x36BA, (q15_t)0x8C34, (q15_t)0x368C, + (q15_t)0x8C1F, (q15_t)0x365F, (q15_t)0x8C09, (q15_t)0x3631, + (q15_t)0x8BF4, (q15_t)0x3604, (q15_t)0x8BDF, (q15_t)0x35D6, + (q15_t)0x8BCA, (q15_t)0x35A8, (q15_t)0x8BB5, (q15_t)0x357B, + (q15_t)0x8BA0, (q15_t)0x354D, (q15_t)0x8B8B, (q15_t)0x351F, + (q15_t)0x8B76, (q15_t)0x34F2, (q15_t)0x8B61, (q15_t)0x34C4, + (q15_t)0x8B4D, (q15_t)0x3496, (q15_t)0x8B38, (q15_t)0x3468, + (q15_t)0x8B24, (q15_t)0x343A, (q15_t)0x8B0F, (q15_t)0x340C, + (q15_t)0x8AFB, (q15_t)0x33DE, (q15_t)0x8AE6, (q15_t)0x33B0, + (q15_t)0x8AD2, (q15_t)0x3382, (q15_t)0x8ABE, (q15_t)0x3354, + (q15_t)0x8AAA, (q15_t)0x3326, (q15_t)0x8A96, (q15_t)0x32F8, + (q15_t)0x8A82, (q15_t)0x32CA, (q15_t)0x8A6E, (q15_t)0x329C, + (q15_t)0x8A5A, (q15_t)0x326E, (q15_t)0x8A46, (q15_t)0x3240, + (q15_t)0x8A33, (q15_t)0x3211, (q15_t)0x8A1F, (q15_t)0x31E3, + (q15_t)0x8A0B, (q15_t)0x31B5, (q15_t)0x89F8, (q15_t)0x3186, + (q15_t)0x89E4, (q15_t)0x3158, (q15_t)0x89D1, (q15_t)0x312A, + (q15_t)0x89BE, (q15_t)0x30FB, (q15_t)0x89AB, (q15_t)0x30CD, + (q15_t)0x8997, (q15_t)0x309E, (q15_t)0x8984, (q15_t)0x3070, + (q15_t)0x8971, (q15_t)0x3041, (q15_t)0x895F, (q15_t)0x3013, + (q15_t)0x894C, (q15_t)0x2FE4, (q15_t)0x8939, (q15_t)0x2FB5, + (q15_t)0x8926, (q15_t)0x2F87, (q15_t)0x8914, (q15_t)0x2F58, + (q15_t)0x8901, (q15_t)0x2F29, (q15_t)0x88EF, (q15_t)0x2EFB, + (q15_t)0x88DC, (q15_t)0x2ECC, (q15_t)0x88CA, (q15_t)0x2E9D, + (q15_t)0x88B8, (q15_t)0x2E6E, (q15_t)0x88A5, (q15_t)0x2E3F, + (q15_t)0x8893, (q15_t)0x2E11, (q15_t)0x8881, (q15_t)0x2DE2, + (q15_t)0x886F, (q15_t)0x2DB3, (q15_t)0x885D, (q15_t)0x2D84, + (q15_t)0x884B, (q15_t)0x2D55, (q15_t)0x883A, (q15_t)0x2D26, + (q15_t)0x8828, (q15_t)0x2CF7, (q15_t)0x8816, (q15_t)0x2CC8, + (q15_t)0x8805, (q15_t)0x2C98, (q15_t)0x87F3, (q15_t)0x2C69, + (q15_t)0x87E2, (q15_t)0x2C3A, (q15_t)0x87D1, (q15_t)0x2C0B, + (q15_t)0x87BF, (q15_t)0x2BDC, (q15_t)0x87AE, (q15_t)0x2BAD, + (q15_t)0x879D, (q15_t)0x2B7D, (q15_t)0x878C, (q15_t)0x2B4E, + (q15_t)0x877B, (q15_t)0x2B1F, (q15_t)0x876A, (q15_t)0x2AEF, + (q15_t)0x8759, (q15_t)0x2AC0, (q15_t)0x8749, (q15_t)0x2A91, + (q15_t)0x8738, (q15_t)0x2A61, (q15_t)0x8727, (q15_t)0x2A32, + (q15_t)0x8717, (q15_t)0x2A02, (q15_t)0x8706, (q15_t)0x29D3, + (q15_t)0x86F6, (q15_t)0x29A3, (q15_t)0x86E6, (q15_t)0x2974, + (q15_t)0x86D5, (q15_t)0x2944, (q15_t)0x86C5, (q15_t)0x2915, + (q15_t)0x86B5, (q15_t)0x28E5, (q15_t)0x86A5, (q15_t)0x28B5, + (q15_t)0x8695, (q15_t)0x2886, (q15_t)0x8685, (q15_t)0x2856, + (q15_t)0x8675, (q15_t)0x2826, (q15_t)0x8666, (q15_t)0x27F6, + (q15_t)0x8656, (q15_t)0x27C7, (q15_t)0x8646, (q15_t)0x2797, + (q15_t)0x8637, (q15_t)0x2767, (q15_t)0x8627, (q15_t)0x2737, + (q15_t)0x8618, (q15_t)0x2707, (q15_t)0x8609, (q15_t)0x26D8, + (q15_t)0x85FA, (q15_t)0x26A8, (q15_t)0x85EA, (q15_t)0x2678, + (q15_t)0x85DB, (q15_t)0x2648, (q15_t)0x85CC, (q15_t)0x2618, + (q15_t)0x85BD, (q15_t)0x25E8, (q15_t)0x85AF, (q15_t)0x25B8, + (q15_t)0x85A0, (q15_t)0x2588, (q15_t)0x8591, (q15_t)0x2558, + (q15_t)0x8582, (q15_t)0x2528, (q15_t)0x8574, (q15_t)0x24F7, + (q15_t)0x8565, (q15_t)0x24C7, (q15_t)0x8557, (q15_t)0x2497, + (q15_t)0x8549, (q15_t)0x2467, (q15_t)0x853A, (q15_t)0x2437, + (q15_t)0x852C, (q15_t)0x2407, (q15_t)0x851E, (q15_t)0x23D6, + (q15_t)0x8510, (q15_t)0x23A6, (q15_t)0x8502, (q15_t)0x2376, + (q15_t)0x84F4, (q15_t)0x2345, (q15_t)0x84E6, (q15_t)0x2315, + (q15_t)0x84D9, (q15_t)0x22E5, (q15_t)0x84CB, (q15_t)0x22B4, + (q15_t)0x84BD, (q15_t)0x2284, (q15_t)0x84B0, (q15_t)0x2254, + (q15_t)0x84A2, (q15_t)0x2223, (q15_t)0x8495, (q15_t)0x21F3, + (q15_t)0x8488, (q15_t)0x21C2, (q15_t)0x847B, (q15_t)0x2192, + (q15_t)0x846D, (q15_t)0x2161, (q15_t)0x8460, (q15_t)0x2131, + (q15_t)0x8453, (q15_t)0x2100, (q15_t)0x8446, (q15_t)0x20D0, + (q15_t)0x843A, (q15_t)0x209F, (q15_t)0x842D, (q15_t)0x206E, + (q15_t)0x8420, (q15_t)0x203E, (q15_t)0x8414, (q15_t)0x200D, + (q15_t)0x8407, (q15_t)0x1FDC, (q15_t)0x83FA, (q15_t)0x1FAC, + (q15_t)0x83EE, (q15_t)0x1F7B, (q15_t)0x83E2, (q15_t)0x1F4A, + (q15_t)0x83D6, (q15_t)0x1F19, (q15_t)0x83C9, (q15_t)0x1EE9, + (q15_t)0x83BD, (q15_t)0x1EB8, (q15_t)0x83B1, (q15_t)0x1E87, + (q15_t)0x83A5, (q15_t)0x1E56, (q15_t)0x8399, (q15_t)0x1E25, + (q15_t)0x838E, (q15_t)0x1DF5, (q15_t)0x8382, (q15_t)0x1DC4, + (q15_t)0x8376, (q15_t)0x1D93, (q15_t)0x836B, (q15_t)0x1D62, + (q15_t)0x835F, (q15_t)0x1D31, (q15_t)0x8354, (q15_t)0x1D00, + (q15_t)0x8348, (q15_t)0x1CCF, (q15_t)0x833D, (q15_t)0x1C9E, + (q15_t)0x8332, (q15_t)0x1C6D, (q15_t)0x8327, (q15_t)0x1C3C, + (q15_t)0x831C, (q15_t)0x1C0B, (q15_t)0x8311, (q15_t)0x1BDA, + (q15_t)0x8306, (q15_t)0x1BA9, (q15_t)0x82FB, (q15_t)0x1B78, + (q15_t)0x82F0, (q15_t)0x1B47, (q15_t)0x82E6, (q15_t)0x1B16, + (q15_t)0x82DB, (q15_t)0x1AE4, (q15_t)0x82D0, (q15_t)0x1AB3, + (q15_t)0x82C6, (q15_t)0x1A82, (q15_t)0x82BC, (q15_t)0x1A51, + (q15_t)0x82B1, (q15_t)0x1A20, (q15_t)0x82A7, (q15_t)0x19EF, + (q15_t)0x829D, (q15_t)0x19BD, (q15_t)0x8293, (q15_t)0x198C, + (q15_t)0x8289, (q15_t)0x195B, (q15_t)0x827F, (q15_t)0x192A, + (q15_t)0x8275, (q15_t)0x18F8, (q15_t)0x826B, (q15_t)0x18C7, + (q15_t)0x8262, (q15_t)0x1896, (q15_t)0x8258, (q15_t)0x1864, + (q15_t)0x824F, (q15_t)0x1833, (q15_t)0x8245, (q15_t)0x1802, + (q15_t)0x823C, (q15_t)0x17D0, (q15_t)0x8232, (q15_t)0x179F, + (q15_t)0x8229, (q15_t)0x176D, (q15_t)0x8220, (q15_t)0x173C, + (q15_t)0x8217, (q15_t)0x170A, (q15_t)0x820E, (q15_t)0x16D9, + (q15_t)0x8205, (q15_t)0x16A8, (q15_t)0x81FC, (q15_t)0x1676, + (q15_t)0x81F3, (q15_t)0x1645, (q15_t)0x81EB, (q15_t)0x1613, + (q15_t)0x81E2, (q15_t)0x15E2, (q15_t)0x81D9, (q15_t)0x15B0, + (q15_t)0x81D1, (q15_t)0x157F, (q15_t)0x81C8, (q15_t)0x154D, + (q15_t)0x81C0, (q15_t)0x151B, (q15_t)0x81B8, (q15_t)0x14EA, + (q15_t)0x81B0, (q15_t)0x14B8, (q15_t)0x81A8, (q15_t)0x1487, + (q15_t)0x81A0, (q15_t)0x1455, (q15_t)0x8198, (q15_t)0x1423, + (q15_t)0x8190, (q15_t)0x13F2, (q15_t)0x8188, (q15_t)0x13C0, + (q15_t)0x8180, (q15_t)0x138E, (q15_t)0x8179, (q15_t)0x135D, + (q15_t)0x8171, (q15_t)0x132B, (q15_t)0x816A, (q15_t)0x12F9, + (q15_t)0x8162, (q15_t)0x12C8, (q15_t)0x815B, (q15_t)0x1296, + (q15_t)0x8154, (q15_t)0x1264, (q15_t)0x814C, (q15_t)0x1232, + (q15_t)0x8145, (q15_t)0x1201, (q15_t)0x813E, (q15_t)0x11CF, + (q15_t)0x8137, (q15_t)0x119D, (q15_t)0x8130, (q15_t)0x116B, + (q15_t)0x812A, (q15_t)0x1139, (q15_t)0x8123, (q15_t)0x1108, + (q15_t)0x811C, (q15_t)0x10D6, (q15_t)0x8116, (q15_t)0x10A4, + (q15_t)0x810F, (q15_t)0x1072, (q15_t)0x8109, (q15_t)0x1040, + (q15_t)0x8102, (q15_t)0x100E, (q15_t)0x80FC, (q15_t)0x0FDD, + (q15_t)0x80F6, (q15_t)0x0FAB, (q15_t)0x80F0, (q15_t)0x0F79, + (q15_t)0x80EA, (q15_t)0x0F47, (q15_t)0x80E4, (q15_t)0x0F15, + (q15_t)0x80DE, (q15_t)0x0EE3, (q15_t)0x80D8, (q15_t)0x0EB1, + (q15_t)0x80D2, (q15_t)0x0E7F, (q15_t)0x80CD, (q15_t)0x0E4D, + (q15_t)0x80C7, (q15_t)0x0E1B, (q15_t)0x80C2, (q15_t)0x0DE9, + (q15_t)0x80BC, (q15_t)0x0DB7, (q15_t)0x80B7, (q15_t)0x0D85, + (q15_t)0x80B2, (q15_t)0x0D53, (q15_t)0x80AC, (q15_t)0x0D21, + (q15_t)0x80A7, (q15_t)0x0CEF, (q15_t)0x80A2, (q15_t)0x0CBD, + (q15_t)0x809D, (q15_t)0x0C8B, (q15_t)0x8098, (q15_t)0x0C59, + (q15_t)0x8094, (q15_t)0x0C27, (q15_t)0x808F, (q15_t)0x0BF5, + (q15_t)0x808A, (q15_t)0x0BC3, (q15_t)0x8086, (q15_t)0x0B91, + (q15_t)0x8081, (q15_t)0x0B5F, (q15_t)0x807D, (q15_t)0x0B2D, + (q15_t)0x8078, (q15_t)0x0AFB, (q15_t)0x8074, (q15_t)0x0AC9, + (q15_t)0x8070, (q15_t)0x0A97, (q15_t)0x806C, (q15_t)0x0A65, + (q15_t)0x8068, (q15_t)0x0A33, (q15_t)0x8064, (q15_t)0x0A00, + (q15_t)0x8060, (q15_t)0x09CE, (q15_t)0x805C, (q15_t)0x099C, + (q15_t)0x8058, (q15_t)0x096A, (q15_t)0x8055, (q15_t)0x0938, + (q15_t)0x8051, (q15_t)0x0906, (q15_t)0x804E, (q15_t)0x08D4, + (q15_t)0x804A, (q15_t)0x08A2, (q15_t)0x8047, (q15_t)0x086F, + (q15_t)0x8043, (q15_t)0x083D, (q15_t)0x8040, (q15_t)0x080B, + (q15_t)0x803D, (q15_t)0x07D9, (q15_t)0x803A, (q15_t)0x07A7, + (q15_t)0x8037, (q15_t)0x0775, (q15_t)0x8034, (q15_t)0x0742, + (q15_t)0x8031, (q15_t)0x0710, (q15_t)0x802F, (q15_t)0x06DE, + (q15_t)0x802C, (q15_t)0x06AC, (q15_t)0x8029, (q15_t)0x067A, + (q15_t)0x8027, (q15_t)0x0647, (q15_t)0x8025, (q15_t)0x0615, + (q15_t)0x8022, (q15_t)0x05E3, (q15_t)0x8020, (q15_t)0x05B1, + (q15_t)0x801E, (q15_t)0x057F, (q15_t)0x801C, (q15_t)0x054C, + (q15_t)0x801A, (q15_t)0x051A, (q15_t)0x8018, (q15_t)0x04E8, + (q15_t)0x8016, (q15_t)0x04B6, (q15_t)0x8014, (q15_t)0x0483, + (q15_t)0x8012, (q15_t)0x0451, (q15_t)0x8011, (q15_t)0x041F, + (q15_t)0x800F, (q15_t)0x03ED, (q15_t)0x800D, (q15_t)0x03BA, + (q15_t)0x800C, (q15_t)0x0388, (q15_t)0x800B, (q15_t)0x0356, + (q15_t)0x8009, (q15_t)0x0324, (q15_t)0x8008, (q15_t)0x02F1, + (q15_t)0x8007, (q15_t)0x02BF, (q15_t)0x8006, (q15_t)0x028D, + (q15_t)0x8005, (q15_t)0x025B, (q15_t)0x8004, (q15_t)0x0228, + (q15_t)0x8003, (q15_t)0x01F6, (q15_t)0x8003, (q15_t)0x01C4, + (q15_t)0x8002, (q15_t)0x0192, (q15_t)0x8001, (q15_t)0x015F, + (q15_t)0x8001, (q15_t)0x012D, (q15_t)0x8000, (q15_t)0x00FB, + (q15_t)0x8000, (q15_t)0x00C9, (q15_t)0x8000, (q15_t)0x0096, + (q15_t)0x8000, (q15_t)0x0064, (q15_t)0x8000, (q15_t)0x0032, + (q15_t)0x8000, (q15_t)0x0000, (q15_t)0x8000, (q15_t)0xFFCD, + (q15_t)0x8000, (q15_t)0xFF9B, (q15_t)0x8000, (q15_t)0xFF69, + (q15_t)0x8000, (q15_t)0xFF36, (q15_t)0x8000, (q15_t)0xFF04, + (q15_t)0x8001, (q15_t)0xFED2, (q15_t)0x8001, (q15_t)0xFEA0, + (q15_t)0x8002, (q15_t)0xFE6D, (q15_t)0x8003, (q15_t)0xFE3B, + (q15_t)0x8003, (q15_t)0xFE09, (q15_t)0x8004, (q15_t)0xFDD7, + (q15_t)0x8005, (q15_t)0xFDA4, (q15_t)0x8006, (q15_t)0xFD72, + (q15_t)0x8007, (q15_t)0xFD40, (q15_t)0x8008, (q15_t)0xFD0E, + (q15_t)0x8009, (q15_t)0xFCDB, (q15_t)0x800B, (q15_t)0xFCA9, + (q15_t)0x800C, (q15_t)0xFC77, (q15_t)0x800D, (q15_t)0xFC45, + (q15_t)0x800F, (q15_t)0xFC12, (q15_t)0x8011, (q15_t)0xFBE0, + (q15_t)0x8012, (q15_t)0xFBAE, (q15_t)0x8014, (q15_t)0xFB7C, + (q15_t)0x8016, (q15_t)0xFB49, (q15_t)0x8018, (q15_t)0xFB17, + (q15_t)0x801A, (q15_t)0xFAE5, (q15_t)0x801C, (q15_t)0xFAB3, + (q15_t)0x801E, (q15_t)0xFA80, (q15_t)0x8020, (q15_t)0xFA4E, + (q15_t)0x8022, (q15_t)0xFA1C, (q15_t)0x8025, (q15_t)0xF9EA, + (q15_t)0x8027, (q15_t)0xF9B8, (q15_t)0x8029, (q15_t)0xF985, + (q15_t)0x802C, (q15_t)0xF953, (q15_t)0x802F, (q15_t)0xF921, + (q15_t)0x8031, (q15_t)0xF8EF, (q15_t)0x8034, (q15_t)0xF8BD, + (q15_t)0x8037, (q15_t)0xF88A, (q15_t)0x803A, (q15_t)0xF858, + (q15_t)0x803D, (q15_t)0xF826, (q15_t)0x8040, (q15_t)0xF7F4, + (q15_t)0x8043, (q15_t)0xF7C2, (q15_t)0x8047, (q15_t)0xF790, + (q15_t)0x804A, (q15_t)0xF75D, (q15_t)0x804E, (q15_t)0xF72B, + (q15_t)0x8051, (q15_t)0xF6F9, (q15_t)0x8055, (q15_t)0xF6C7, + (q15_t)0x8058, (q15_t)0xF695, (q15_t)0x805C, (q15_t)0xF663, + (q15_t)0x8060, (q15_t)0xF631, (q15_t)0x8064, (q15_t)0xF5FF, + (q15_t)0x8068, (q15_t)0xF5CC, (q15_t)0x806C, (q15_t)0xF59A, + (q15_t)0x8070, (q15_t)0xF568, (q15_t)0x8074, (q15_t)0xF536, + (q15_t)0x8078, (q15_t)0xF504, (q15_t)0x807D, (q15_t)0xF4D2, + (q15_t)0x8081, (q15_t)0xF4A0, (q15_t)0x8086, (q15_t)0xF46E, + (q15_t)0x808A, (q15_t)0xF43C, (q15_t)0x808F, (q15_t)0xF40A, + (q15_t)0x8094, (q15_t)0xF3D8, (q15_t)0x8098, (q15_t)0xF3A6, + (q15_t)0x809D, (q15_t)0xF374, (q15_t)0x80A2, (q15_t)0xF342, + (q15_t)0x80A7, (q15_t)0xF310, (q15_t)0x80AC, (q15_t)0xF2DE, + (q15_t)0x80B2, (q15_t)0xF2AC, (q15_t)0x80B7, (q15_t)0xF27A, + (q15_t)0x80BC, (q15_t)0xF248, (q15_t)0x80C2, (q15_t)0xF216, + (q15_t)0x80C7, (q15_t)0xF1E4, (q15_t)0x80CD, (q15_t)0xF1B2, + (q15_t)0x80D2, (q15_t)0xF180, (q15_t)0x80D8, (q15_t)0xF14E, + (q15_t)0x80DE, (q15_t)0xF11C, (q15_t)0x80E4, (q15_t)0xF0EA, + (q15_t)0x80EA, (q15_t)0xF0B8, (q15_t)0x80F0, (q15_t)0xF086, + (q15_t)0x80F6, (q15_t)0xF054, (q15_t)0x80FC, (q15_t)0xF022, + (q15_t)0x8102, (q15_t)0xEFF1, (q15_t)0x8109, (q15_t)0xEFBF, + (q15_t)0x810F, (q15_t)0xEF8D, (q15_t)0x8116, (q15_t)0xEF5B, + (q15_t)0x811C, (q15_t)0xEF29, (q15_t)0x8123, (q15_t)0xEEF7, + (q15_t)0x812A, (q15_t)0xEEC6, (q15_t)0x8130, (q15_t)0xEE94, + (q15_t)0x8137, (q15_t)0xEE62, (q15_t)0x813E, (q15_t)0xEE30, + (q15_t)0x8145, (q15_t)0xEDFE, (q15_t)0x814C, (q15_t)0xEDCD, + (q15_t)0x8154, (q15_t)0xED9B, (q15_t)0x815B, (q15_t)0xED69, + (q15_t)0x8162, (q15_t)0xED37, (q15_t)0x816A, (q15_t)0xED06, + (q15_t)0x8171, (q15_t)0xECD4, (q15_t)0x8179, (q15_t)0xECA2, + (q15_t)0x8180, (q15_t)0xEC71, (q15_t)0x8188, (q15_t)0xEC3F, + (q15_t)0x8190, (q15_t)0xEC0D, (q15_t)0x8198, (q15_t)0xEBDC, + (q15_t)0x81A0, (q15_t)0xEBAA, (q15_t)0x81A8, (q15_t)0xEB78, + (q15_t)0x81B0, (q15_t)0xEB47, (q15_t)0x81B8, (q15_t)0xEB15, + (q15_t)0x81C0, (q15_t)0xEAE4, (q15_t)0x81C8, (q15_t)0xEAB2, + (q15_t)0x81D1, (q15_t)0xEA80, (q15_t)0x81D9, (q15_t)0xEA4F, + (q15_t)0x81E2, (q15_t)0xEA1D, (q15_t)0x81EB, (q15_t)0xE9EC, + (q15_t)0x81F3, (q15_t)0xE9BA, (q15_t)0x81FC, (q15_t)0xE989, + (q15_t)0x8205, (q15_t)0xE957, (q15_t)0x820E, (q15_t)0xE926, + (q15_t)0x8217, (q15_t)0xE8F5, (q15_t)0x8220, (q15_t)0xE8C3, + (q15_t)0x8229, (q15_t)0xE892, (q15_t)0x8232, (q15_t)0xE860, + (q15_t)0x823C, (q15_t)0xE82F, (q15_t)0x8245, (q15_t)0xE7FD, + (q15_t)0x824F, (q15_t)0xE7CC, (q15_t)0x8258, (q15_t)0xE79B, + (q15_t)0x8262, (q15_t)0xE769, (q15_t)0x826B, (q15_t)0xE738, + (q15_t)0x8275, (q15_t)0xE707, (q15_t)0x827F, (q15_t)0xE6D5, + (q15_t)0x8289, (q15_t)0xE6A4, (q15_t)0x8293, (q15_t)0xE673, + (q15_t)0x829D, (q15_t)0xE642, (q15_t)0x82A7, (q15_t)0xE610, + (q15_t)0x82B1, (q15_t)0xE5DF, (q15_t)0x82BC, (q15_t)0xE5AE, + (q15_t)0x82C6, (q15_t)0xE57D, (q15_t)0x82D0, (q15_t)0xE54C, + (q15_t)0x82DB, (q15_t)0xE51B, (q15_t)0x82E6, (q15_t)0xE4E9, + (q15_t)0x82F0, (q15_t)0xE4B8, (q15_t)0x82FB, (q15_t)0xE487, + (q15_t)0x8306, (q15_t)0xE456, (q15_t)0x8311, (q15_t)0xE425, + (q15_t)0x831C, (q15_t)0xE3F4, (q15_t)0x8327, (q15_t)0xE3C3, + (q15_t)0x8332, (q15_t)0xE392, (q15_t)0x833D, (q15_t)0xE361, + (q15_t)0x8348, (q15_t)0xE330, (q15_t)0x8354, (q15_t)0xE2FF, + (q15_t)0x835F, (q15_t)0xE2CE, (q15_t)0x836B, (q15_t)0xE29D, + (q15_t)0x8376, (q15_t)0xE26C, (q15_t)0x8382, (q15_t)0xE23B, + (q15_t)0x838E, (q15_t)0xE20A, (q15_t)0x8399, (q15_t)0xE1DA, + (q15_t)0x83A5, (q15_t)0xE1A9, (q15_t)0x83B1, (q15_t)0xE178, + (q15_t)0x83BD, (q15_t)0xE147, (q15_t)0x83C9, (q15_t)0xE116, + (q15_t)0x83D6, (q15_t)0xE0E6, (q15_t)0x83E2, (q15_t)0xE0B5, + (q15_t)0x83EE, (q15_t)0xE084, (q15_t)0x83FA, (q15_t)0xE053, + (q15_t)0x8407, (q15_t)0xE023, (q15_t)0x8414, (q15_t)0xDFF2, + (q15_t)0x8420, (q15_t)0xDFC1, (q15_t)0x842D, (q15_t)0xDF91, + (q15_t)0x843A, (q15_t)0xDF60, (q15_t)0x8446, (q15_t)0xDF2F, + (q15_t)0x8453, (q15_t)0xDEFF, (q15_t)0x8460, (q15_t)0xDECE, + (q15_t)0x846D, (q15_t)0xDE9E, (q15_t)0x847B, (q15_t)0xDE6D, + (q15_t)0x8488, (q15_t)0xDE3D, (q15_t)0x8495, (q15_t)0xDE0C, + (q15_t)0x84A2, (q15_t)0xDDDC, (q15_t)0x84B0, (q15_t)0xDDAB, + (q15_t)0x84BD, (q15_t)0xDD7B, (q15_t)0x84CB, (q15_t)0xDD4B, + (q15_t)0x84D9, (q15_t)0xDD1A, (q15_t)0x84E6, (q15_t)0xDCEA, + (q15_t)0x84F4, (q15_t)0xDCBA, (q15_t)0x8502, (q15_t)0xDC89, + (q15_t)0x8510, (q15_t)0xDC59, (q15_t)0x851E, (q15_t)0xDC29, + (q15_t)0x852C, (q15_t)0xDBF8, (q15_t)0x853A, (q15_t)0xDBC8, + (q15_t)0x8549, (q15_t)0xDB98, (q15_t)0x8557, (q15_t)0xDB68, + (q15_t)0x8565, (q15_t)0xDB38, (q15_t)0x8574, (q15_t)0xDB08, + (q15_t)0x8582, (q15_t)0xDAD7, (q15_t)0x8591, (q15_t)0xDAA7, + (q15_t)0x85A0, (q15_t)0xDA77, (q15_t)0x85AF, (q15_t)0xDA47, + (q15_t)0x85BD, (q15_t)0xDA17, (q15_t)0x85CC, (q15_t)0xD9E7, + (q15_t)0x85DB, (q15_t)0xD9B7, (q15_t)0x85EA, (q15_t)0xD987, + (q15_t)0x85FA, (q15_t)0xD957, (q15_t)0x8609, (q15_t)0xD927, + (q15_t)0x8618, (q15_t)0xD8F8, (q15_t)0x8627, (q15_t)0xD8C8, + (q15_t)0x8637, (q15_t)0xD898, (q15_t)0x8646, (q15_t)0xD868, + (q15_t)0x8656, (q15_t)0xD838, (q15_t)0x8666, (q15_t)0xD809, + (q15_t)0x8675, (q15_t)0xD7D9, (q15_t)0x8685, (q15_t)0xD7A9, + (q15_t)0x8695, (q15_t)0xD779, (q15_t)0x86A5, (q15_t)0xD74A, + (q15_t)0x86B5, (q15_t)0xD71A, (q15_t)0x86C5, (q15_t)0xD6EA, + (q15_t)0x86D5, (q15_t)0xD6BB, (q15_t)0x86E6, (q15_t)0xD68B, + (q15_t)0x86F6, (q15_t)0xD65C, (q15_t)0x8706, (q15_t)0xD62C, + (q15_t)0x8717, (q15_t)0xD5FD, (q15_t)0x8727, (q15_t)0xD5CD, + (q15_t)0x8738, (q15_t)0xD59E, (q15_t)0x8749, (q15_t)0xD56E, + (q15_t)0x8759, (q15_t)0xD53F, (q15_t)0x876A, (q15_t)0xD510, + (q15_t)0x877B, (q15_t)0xD4E0, (q15_t)0x878C, (q15_t)0xD4B1, + (q15_t)0x879D, (q15_t)0xD482, (q15_t)0x87AE, (q15_t)0xD452, + (q15_t)0x87BF, (q15_t)0xD423, (q15_t)0x87D1, (q15_t)0xD3F4, + (q15_t)0x87E2, (q15_t)0xD3C5, (q15_t)0x87F3, (q15_t)0xD396, + (q15_t)0x8805, (q15_t)0xD367, (q15_t)0x8816, (q15_t)0xD337, + (q15_t)0x8828, (q15_t)0xD308, (q15_t)0x883A, (q15_t)0xD2D9, + (q15_t)0x884B, (q15_t)0xD2AA, (q15_t)0x885D, (q15_t)0xD27B, + (q15_t)0x886F, (q15_t)0xD24C, (q15_t)0x8881, (q15_t)0xD21D, + (q15_t)0x8893, (q15_t)0xD1EE, (q15_t)0x88A5, (q15_t)0xD1C0, + (q15_t)0x88B8, (q15_t)0xD191, (q15_t)0x88CA, (q15_t)0xD162, + (q15_t)0x88DC, (q15_t)0xD133, (q15_t)0x88EF, (q15_t)0xD104, + (q15_t)0x8901, (q15_t)0xD0D6, (q15_t)0x8914, (q15_t)0xD0A7, + (q15_t)0x8926, (q15_t)0xD078, (q15_t)0x8939, (q15_t)0xD04A, + (q15_t)0x894C, (q15_t)0xD01B, (q15_t)0x895F, (q15_t)0xCFEC, + (q15_t)0x8971, (q15_t)0xCFBE, (q15_t)0x8984, (q15_t)0xCF8F, + (q15_t)0x8997, (q15_t)0xCF61, (q15_t)0x89AB, (q15_t)0xCF32, + (q15_t)0x89BE, (q15_t)0xCF04, (q15_t)0x89D1, (q15_t)0xCED5, + (q15_t)0x89E4, (q15_t)0xCEA7, (q15_t)0x89F8, (q15_t)0xCE79, + (q15_t)0x8A0B, (q15_t)0xCE4A, (q15_t)0x8A1F, (q15_t)0xCE1C, + (q15_t)0x8A33, (q15_t)0xCDEE, (q15_t)0x8A46, (q15_t)0xCDBF, + (q15_t)0x8A5A, (q15_t)0xCD91, (q15_t)0x8A6E, (q15_t)0xCD63, + (q15_t)0x8A82, (q15_t)0xCD35, (q15_t)0x8A96, (q15_t)0xCD07, + (q15_t)0x8AAA, (q15_t)0xCCD9, (q15_t)0x8ABE, (q15_t)0xCCAB, + (q15_t)0x8AD2, (q15_t)0xCC7D, (q15_t)0x8AE6, (q15_t)0xCC4F, + (q15_t)0x8AFB, (q15_t)0xCC21, (q15_t)0x8B0F, (q15_t)0xCBF3, + (q15_t)0x8B24, (q15_t)0xCBC5, (q15_t)0x8B38, (q15_t)0xCB97, + (q15_t)0x8B4D, (q15_t)0xCB69, (q15_t)0x8B61, (q15_t)0xCB3B, + (q15_t)0x8B76, (q15_t)0xCB0D, (q15_t)0x8B8B, (q15_t)0xCAE0, + (q15_t)0x8BA0, (q15_t)0xCAB2, (q15_t)0x8BB5, (q15_t)0xCA84, + (q15_t)0x8BCA, (q15_t)0xCA57, (q15_t)0x8BDF, (q15_t)0xCA29, + (q15_t)0x8BF4, (q15_t)0xC9FB, (q15_t)0x8C09, (q15_t)0xC9CE, + (q15_t)0x8C1F, (q15_t)0xC9A0, (q15_t)0x8C34, (q15_t)0xC973, + (q15_t)0x8C4A, (q15_t)0xC945, (q15_t)0x8C5F, (q15_t)0xC918, + (q15_t)0x8C75, (q15_t)0xC8EB, (q15_t)0x8C8A, (q15_t)0xC8BD, + (q15_t)0x8CA0, (q15_t)0xC890, (q15_t)0x8CB6, (q15_t)0xC863, + (q15_t)0x8CCC, (q15_t)0xC835, (q15_t)0x8CE2, (q15_t)0xC808, + (q15_t)0x8CF8, (q15_t)0xC7DB, (q15_t)0x8D0E, (q15_t)0xC7AE, + (q15_t)0x8D24, (q15_t)0xC781, (q15_t)0x8D3A, (q15_t)0xC754, + (q15_t)0x8D50, (q15_t)0xC727, (q15_t)0x8D67, (q15_t)0xC6F9, + (q15_t)0x8D7D, (q15_t)0xC6CD, (q15_t)0x8D94, (q15_t)0xC6A0, + (q15_t)0x8DAA, (q15_t)0xC673, (q15_t)0x8DC1, (q15_t)0xC646, + (q15_t)0x8DD8, (q15_t)0xC619, (q15_t)0x8DEE, (q15_t)0xC5EC, + (q15_t)0x8E05, (q15_t)0xC5BF, (q15_t)0x8E1C, (q15_t)0xC593, + (q15_t)0x8E33, (q15_t)0xC566, (q15_t)0x8E4A, (q15_t)0xC539, + (q15_t)0x8E61, (q15_t)0xC50D, (q15_t)0x8E79, (q15_t)0xC4E0, + (q15_t)0x8E90, (q15_t)0xC4B3, (q15_t)0x8EA7, (q15_t)0xC487, + (q15_t)0x8EBE, (q15_t)0xC45A, (q15_t)0x8ED6, (q15_t)0xC42E, + (q15_t)0x8EED, (q15_t)0xC402, (q15_t)0x8F05, (q15_t)0xC3D5, + (q15_t)0x8F1D, (q15_t)0xC3A9, (q15_t)0x8F34, (q15_t)0xC37C, + (q15_t)0x8F4C, (q15_t)0xC350, (q15_t)0x8F64, (q15_t)0xC324, + (q15_t)0x8F7C, (q15_t)0xC2F8, (q15_t)0x8F94, (q15_t)0xC2CC, + (q15_t)0x8FAC, (q15_t)0xC29F, (q15_t)0x8FC4, (q15_t)0xC273, + (q15_t)0x8FDC, (q15_t)0xC247, (q15_t)0x8FF5, (q15_t)0xC21B, + (q15_t)0x900D, (q15_t)0xC1EF, (q15_t)0x9025, (q15_t)0xC1C3, + (q15_t)0x903E, (q15_t)0xC197, (q15_t)0x9056, (q15_t)0xC16C, + (q15_t)0x906F, (q15_t)0xC140, (q15_t)0x9088, (q15_t)0xC114, + (q15_t)0x90A0, (q15_t)0xC0E8, (q15_t)0x90B9, (q15_t)0xC0BC, + (q15_t)0x90D2, (q15_t)0xC091, (q15_t)0x90EB, (q15_t)0xC065, + (q15_t)0x9104, (q15_t)0xC03A, (q15_t)0x911D, (q15_t)0xC00E, + (q15_t)0x9136, (q15_t)0xBFE2, (q15_t)0x9150, (q15_t)0xBFB7, + (q15_t)0x9169, (q15_t)0xBF8C, (q15_t)0x9182, (q15_t)0xBF60, + (q15_t)0x919C, (q15_t)0xBF35, (q15_t)0x91B5, (q15_t)0xBF09, + (q15_t)0x91CF, (q15_t)0xBEDE, (q15_t)0x91E8, (q15_t)0xBEB3, + (q15_t)0x9202, (q15_t)0xBE88, (q15_t)0x921C, (q15_t)0xBE5D, + (q15_t)0x9235, (q15_t)0xBE31, (q15_t)0x924F, (q15_t)0xBE06, + (q15_t)0x9269, (q15_t)0xBDDB, (q15_t)0x9283, (q15_t)0xBDB0, + (q15_t)0x929D, (q15_t)0xBD85, (q15_t)0x92B7, (q15_t)0xBD5A, + (q15_t)0x92D2, (q15_t)0xBD2F, (q15_t)0x92EC, (q15_t)0xBD05, + (q15_t)0x9306, (q15_t)0xBCDA, (q15_t)0x9321, (q15_t)0xBCAF, + (q15_t)0x933B, (q15_t)0xBC84, (q15_t)0x9356, (q15_t)0xBC5A, + (q15_t)0x9370, (q15_t)0xBC2F, (q15_t)0x938B, (q15_t)0xBC04, + (q15_t)0x93A6, (q15_t)0xBBDA, (q15_t)0x93C0, (q15_t)0xBBAF, + (q15_t)0x93DB, (q15_t)0xBB85, (q15_t)0x93F6, (q15_t)0xBB5A, + (q15_t)0x9411, (q15_t)0xBB30, (q15_t)0x942C, (q15_t)0xBB05, + (q15_t)0x9447, (q15_t)0xBADB, (q15_t)0x9463, (q15_t)0xBAB1, + (q15_t)0x947E, (q15_t)0xBA87, (q15_t)0x9499, (q15_t)0xBA5C, + (q15_t)0x94B5, (q15_t)0xBA32, (q15_t)0x94D0, (q15_t)0xBA08, + (q15_t)0x94EC, (q15_t)0xB9DE, (q15_t)0x9507, (q15_t)0xB9B4, + (q15_t)0x9523, (q15_t)0xB98A, (q15_t)0x953E, (q15_t)0xB960, + (q15_t)0x955A, (q15_t)0xB936, (q15_t)0x9576, (q15_t)0xB90C, + (q15_t)0x9592, (q15_t)0xB8E3, (q15_t)0x95AE, (q15_t)0xB8B9, + (q15_t)0x95CA, (q15_t)0xB88F, (q15_t)0x95E6, (q15_t)0xB865, + (q15_t)0x9602, (q15_t)0xB83C, (q15_t)0x961E, (q15_t)0xB812, + (q15_t)0x963B, (q15_t)0xB7E9, (q15_t)0x9657, (q15_t)0xB7BF, + (q15_t)0x9673, (q15_t)0xB796, (q15_t)0x9690, (q15_t)0xB76C, + (q15_t)0x96AC, (q15_t)0xB743, (q15_t)0x96C9, (q15_t)0xB719, + (q15_t)0x96E6, (q15_t)0xB6F0, (q15_t)0x9702, (q15_t)0xB6C7, + (q15_t)0x971F, (q15_t)0xB69E, (q15_t)0x973C, (q15_t)0xB675, + (q15_t)0x9759, (q15_t)0xB64B, (q15_t)0x9776, (q15_t)0xB622, + (q15_t)0x9793, (q15_t)0xB5F9, (q15_t)0x97B0, (q15_t)0xB5D0, + (q15_t)0x97CD, (q15_t)0xB5A7, (q15_t)0x97EA, (q15_t)0xB57E, + (q15_t)0x9808, (q15_t)0xB556, (q15_t)0x9825, (q15_t)0xB52D, + (q15_t)0x9842, (q15_t)0xB504, (q15_t)0x9860, (q15_t)0xB4DB, + (q15_t)0x987D, (q15_t)0xB4B3, (q15_t)0x989B, (q15_t)0xB48A, + (q15_t)0x98B9, (q15_t)0xB461, (q15_t)0x98D6, (q15_t)0xB439, + (q15_t)0x98F4, (q15_t)0xB410, (q15_t)0x9912, (q15_t)0xB3E8, + (q15_t)0x9930, (q15_t)0xB3C0, (q15_t)0x994E, (q15_t)0xB397, + (q15_t)0x996C, (q15_t)0xB36F, (q15_t)0x998A, (q15_t)0xB347, + (q15_t)0x99A8, (q15_t)0xB31E, (q15_t)0x99C6, (q15_t)0xB2F6, + (q15_t)0x99E5, (q15_t)0xB2CE, (q15_t)0x9A03, (q15_t)0xB2A6, + (q15_t)0x9A22, (q15_t)0xB27E, (q15_t)0x9A40, (q15_t)0xB256, + (q15_t)0x9A5F, (q15_t)0xB22E, (q15_t)0x9A7D, (q15_t)0xB206, + (q15_t)0x9A9C, (q15_t)0xB1DE, (q15_t)0x9ABA, (q15_t)0xB1B7, + (q15_t)0x9AD9, (q15_t)0xB18F, (q15_t)0x9AF8, (q15_t)0xB167, + (q15_t)0x9B17, (q15_t)0xB140, (q15_t)0x9B36, (q15_t)0xB118, + (q15_t)0x9B55, (q15_t)0xB0F0, (q15_t)0x9B74, (q15_t)0xB0C9, + (q15_t)0x9B93, (q15_t)0xB0A1, (q15_t)0x9BB2, (q15_t)0xB07A, + (q15_t)0x9BD2, (q15_t)0xB053, (q15_t)0x9BF1, (q15_t)0xB02B, + (q15_t)0x9C10, (q15_t)0xB004, (q15_t)0x9C30, (q15_t)0xAFDD, + (q15_t)0x9C4F, (q15_t)0xAFB6, (q15_t)0x9C6F, (q15_t)0xAF8F, + (q15_t)0x9C8E, (q15_t)0xAF68, (q15_t)0x9CAE, (q15_t)0xAF40, + (q15_t)0x9CCE, (q15_t)0xAF1A, (q15_t)0x9CEE, (q15_t)0xAEF3, + (q15_t)0x9D0D, (q15_t)0xAECC, (q15_t)0x9D2D, (q15_t)0xAEA5, + (q15_t)0x9D4D, (q15_t)0xAE7E, (q15_t)0x9D6D, (q15_t)0xAE57, + (q15_t)0x9D8E, (q15_t)0xAE31, (q15_t)0x9DAE, (q15_t)0xAE0A, + (q15_t)0x9DCE, (q15_t)0xADE3, (q15_t)0x9DEE, (q15_t)0xADBD, + (q15_t)0x9E0E, (q15_t)0xAD96, (q15_t)0x9E2F, (q15_t)0xAD70, + (q15_t)0x9E4F, (q15_t)0xAD4A, (q15_t)0x9E70, (q15_t)0xAD23, + (q15_t)0x9E90, (q15_t)0xACFD, (q15_t)0x9EB1, (q15_t)0xACD7, + (q15_t)0x9ED2, (q15_t)0xACB1, (q15_t)0x9EF2, (q15_t)0xAC8A, + (q15_t)0x9F13, (q15_t)0xAC64, (q15_t)0x9F34, (q15_t)0xAC3E, + (q15_t)0x9F55, (q15_t)0xAC18, (q15_t)0x9F76, (q15_t)0xABF2, + (q15_t)0x9F97, (q15_t)0xABCC, (q15_t)0x9FB8, (q15_t)0xABA7, + (q15_t)0x9FD9, (q15_t)0xAB81, (q15_t)0x9FFB, (q15_t)0xAB5B, + (q15_t)0xA01C, (q15_t)0xAB35, (q15_t)0xA03D, (q15_t)0xAB10, + (q15_t)0xA05F, (q15_t)0xAAEA, (q15_t)0xA080, (q15_t)0xAAC5, + (q15_t)0xA0A1, (q15_t)0xAA9F, (q15_t)0xA0C3, (q15_t)0xAA7A, + (q15_t)0xA0E5, (q15_t)0xAA54, (q15_t)0xA106, (q15_t)0xAA2F, + (q15_t)0xA128, (q15_t)0xAA0A, (q15_t)0xA14A, (q15_t)0xA9E5, + (q15_t)0xA16C, (q15_t)0xA9BF, (q15_t)0xA18E, (q15_t)0xA99A, + (q15_t)0xA1AF, (q15_t)0xA975, (q15_t)0xA1D2, (q15_t)0xA950, + (q15_t)0xA1F4, (q15_t)0xA92B, (q15_t)0xA216, (q15_t)0xA906, + (q15_t)0xA238, (q15_t)0xA8E2, (q15_t)0xA25A, (q15_t)0xA8BD, + (q15_t)0xA27C, (q15_t)0xA898, (q15_t)0xA29F, (q15_t)0xA873, + (q15_t)0xA2C1, (q15_t)0xA84F, (q15_t)0xA2E4, (q15_t)0xA82A, + (q15_t)0xA306, (q15_t)0xA806, (q15_t)0xA329, (q15_t)0xA7E1, + (q15_t)0xA34B, (q15_t)0xA7BD, (q15_t)0xA36E, (q15_t)0xA798, + (q15_t)0xA391, (q15_t)0xA774, (q15_t)0xA3B4, (q15_t)0xA750, + (q15_t)0xA3D6, (q15_t)0xA72B, (q15_t)0xA3F9, (q15_t)0xA707, + (q15_t)0xA41C, (q15_t)0xA6E3, (q15_t)0xA43F, (q15_t)0xA6BF, + (q15_t)0xA462, (q15_t)0xA69B, (q15_t)0xA486, (q15_t)0xA677, + (q15_t)0xA4A9, (q15_t)0xA653, (q15_t)0xA4CC, (q15_t)0xA62F, + (q15_t)0xA4EF, (q15_t)0xA60C, (q15_t)0xA513, (q15_t)0xA5E8, + (q15_t)0xA536, (q15_t)0xA5C4, (q15_t)0xA55A, (q15_t)0xA5A1, + (q15_t)0xA57D, (q15_t)0xA57D, (q15_t)0xA5A1, (q15_t)0xA55A, + (q15_t)0xA5C4, (q15_t)0xA536, (q15_t)0xA5E8, (q15_t)0xA513, + (q15_t)0xA60C, (q15_t)0xA4EF, (q15_t)0xA62F, (q15_t)0xA4CC, + (q15_t)0xA653, (q15_t)0xA4A9, (q15_t)0xA677, (q15_t)0xA486, + (q15_t)0xA69B, (q15_t)0xA462, (q15_t)0xA6BF, (q15_t)0xA43F, + (q15_t)0xA6E3, (q15_t)0xA41C, (q15_t)0xA707, (q15_t)0xA3F9, + (q15_t)0xA72B, (q15_t)0xA3D6, (q15_t)0xA750, (q15_t)0xA3B4, + (q15_t)0xA774, (q15_t)0xA391, (q15_t)0xA798, (q15_t)0xA36E, + (q15_t)0xA7BD, (q15_t)0xA34B, (q15_t)0xA7E1, (q15_t)0xA329, + (q15_t)0xA806, (q15_t)0xA306, (q15_t)0xA82A, (q15_t)0xA2E4, + (q15_t)0xA84F, (q15_t)0xA2C1, (q15_t)0xA873, (q15_t)0xA29F, + (q15_t)0xA898, (q15_t)0xA27C, (q15_t)0xA8BD, (q15_t)0xA25A, + (q15_t)0xA8E2, (q15_t)0xA238, (q15_t)0xA906, (q15_t)0xA216, + (q15_t)0xA92B, (q15_t)0xA1F4, (q15_t)0xA950, (q15_t)0xA1D2, + (q15_t)0xA975, (q15_t)0xA1AF, (q15_t)0xA99A, (q15_t)0xA18E, + (q15_t)0xA9BF, (q15_t)0xA16C, (q15_t)0xA9E5, (q15_t)0xA14A, + (q15_t)0xAA0A, (q15_t)0xA128, (q15_t)0xAA2F, (q15_t)0xA106, + (q15_t)0xAA54, (q15_t)0xA0E5, (q15_t)0xAA7A, (q15_t)0xA0C3, + (q15_t)0xAA9F, (q15_t)0xA0A1, (q15_t)0xAAC5, (q15_t)0xA080, + (q15_t)0xAAEA, (q15_t)0xA05F, (q15_t)0xAB10, (q15_t)0xA03D, + (q15_t)0xAB35, (q15_t)0xA01C, (q15_t)0xAB5B, (q15_t)0x9FFB, + (q15_t)0xAB81, (q15_t)0x9FD9, (q15_t)0xABA7, (q15_t)0x9FB8, + (q15_t)0xABCC, (q15_t)0x9F97, (q15_t)0xABF2, (q15_t)0x9F76, + (q15_t)0xAC18, (q15_t)0x9F55, (q15_t)0xAC3E, (q15_t)0x9F34, + (q15_t)0xAC64, (q15_t)0x9F13, (q15_t)0xAC8A, (q15_t)0x9EF2, + (q15_t)0xACB1, (q15_t)0x9ED2, (q15_t)0xACD7, (q15_t)0x9EB1, + (q15_t)0xACFD, (q15_t)0x9E90, (q15_t)0xAD23, (q15_t)0x9E70, + (q15_t)0xAD4A, (q15_t)0x9E4F, (q15_t)0xAD70, (q15_t)0x9E2F, + (q15_t)0xAD96, (q15_t)0x9E0E, (q15_t)0xADBD, (q15_t)0x9DEE, + (q15_t)0xADE3, (q15_t)0x9DCE, (q15_t)0xAE0A, (q15_t)0x9DAE, + (q15_t)0xAE31, (q15_t)0x9D8E, (q15_t)0xAE57, (q15_t)0x9D6D, + (q15_t)0xAE7E, (q15_t)0x9D4D, (q15_t)0xAEA5, (q15_t)0x9D2D, + (q15_t)0xAECC, (q15_t)0x9D0D, (q15_t)0xAEF3, (q15_t)0x9CEE, + (q15_t)0xAF1A, (q15_t)0x9CCE, (q15_t)0xAF40, (q15_t)0x9CAE, + (q15_t)0xAF68, (q15_t)0x9C8E, (q15_t)0xAF8F, (q15_t)0x9C6F, + (q15_t)0xAFB6, (q15_t)0x9C4F, (q15_t)0xAFDD, (q15_t)0x9C30, + (q15_t)0xB004, (q15_t)0x9C10, (q15_t)0xB02B, (q15_t)0x9BF1, + (q15_t)0xB053, (q15_t)0x9BD2, (q15_t)0xB07A, (q15_t)0x9BB2, + (q15_t)0xB0A1, (q15_t)0x9B93, (q15_t)0xB0C9, (q15_t)0x9B74, + (q15_t)0xB0F0, (q15_t)0x9B55, (q15_t)0xB118, (q15_t)0x9B36, + (q15_t)0xB140, (q15_t)0x9B17, (q15_t)0xB167, (q15_t)0x9AF8, + (q15_t)0xB18F, (q15_t)0x9AD9, (q15_t)0xB1B7, (q15_t)0x9ABA, + (q15_t)0xB1DE, (q15_t)0x9A9C, (q15_t)0xB206, (q15_t)0x9A7D, + (q15_t)0xB22E, (q15_t)0x9A5F, (q15_t)0xB256, (q15_t)0x9A40, + (q15_t)0xB27E, (q15_t)0x9A22, (q15_t)0xB2A6, (q15_t)0x9A03, + (q15_t)0xB2CE, (q15_t)0x99E5, (q15_t)0xB2F6, (q15_t)0x99C6, + (q15_t)0xB31E, (q15_t)0x99A8, (q15_t)0xB347, (q15_t)0x998A, + (q15_t)0xB36F, (q15_t)0x996C, (q15_t)0xB397, (q15_t)0x994E, + (q15_t)0xB3C0, (q15_t)0x9930, (q15_t)0xB3E8, (q15_t)0x9912, + (q15_t)0xB410, (q15_t)0x98F4, (q15_t)0xB439, (q15_t)0x98D6, + (q15_t)0xB461, (q15_t)0x98B9, (q15_t)0xB48A, (q15_t)0x989B, + (q15_t)0xB4B3, (q15_t)0x987D, (q15_t)0xB4DB, (q15_t)0x9860, + (q15_t)0xB504, (q15_t)0x9842, (q15_t)0xB52D, (q15_t)0x9825, + (q15_t)0xB556, (q15_t)0x9808, (q15_t)0xB57E, (q15_t)0x97EA, + (q15_t)0xB5A7, (q15_t)0x97CD, (q15_t)0xB5D0, (q15_t)0x97B0, + (q15_t)0xB5F9, (q15_t)0x9793, (q15_t)0xB622, (q15_t)0x9776, + (q15_t)0xB64B, (q15_t)0x9759, (q15_t)0xB675, (q15_t)0x973C, + (q15_t)0xB69E, (q15_t)0x971F, (q15_t)0xB6C7, (q15_t)0x9702, + (q15_t)0xB6F0, (q15_t)0x96E6, (q15_t)0xB719, (q15_t)0x96C9, + (q15_t)0xB743, (q15_t)0x96AC, (q15_t)0xB76C, (q15_t)0x9690, + (q15_t)0xB796, (q15_t)0x9673, (q15_t)0xB7BF, (q15_t)0x9657, + (q15_t)0xB7E9, (q15_t)0x963B, (q15_t)0xB812, (q15_t)0x961E, + (q15_t)0xB83C, (q15_t)0x9602, (q15_t)0xB865, (q15_t)0x95E6, + (q15_t)0xB88F, (q15_t)0x95CA, (q15_t)0xB8B9, (q15_t)0x95AE, + (q15_t)0xB8E3, (q15_t)0x9592, (q15_t)0xB90C, (q15_t)0x9576, + (q15_t)0xB936, (q15_t)0x955A, (q15_t)0xB960, (q15_t)0x953E, + (q15_t)0xB98A, (q15_t)0x9523, (q15_t)0xB9B4, (q15_t)0x9507, + (q15_t)0xB9DE, (q15_t)0x94EC, (q15_t)0xBA08, (q15_t)0x94D0, + (q15_t)0xBA32, (q15_t)0x94B5, (q15_t)0xBA5C, (q15_t)0x9499, + (q15_t)0xBA87, (q15_t)0x947E, (q15_t)0xBAB1, (q15_t)0x9463, + (q15_t)0xBADB, (q15_t)0x9447, (q15_t)0xBB05, (q15_t)0x942C, + (q15_t)0xBB30, (q15_t)0x9411, (q15_t)0xBB5A, (q15_t)0x93F6, + (q15_t)0xBB85, (q15_t)0x93DB, (q15_t)0xBBAF, (q15_t)0x93C0, + (q15_t)0xBBDA, (q15_t)0x93A6, (q15_t)0xBC04, (q15_t)0x938B, + (q15_t)0xBC2F, (q15_t)0x9370, (q15_t)0xBC5A, (q15_t)0x9356, + (q15_t)0xBC84, (q15_t)0x933B, (q15_t)0xBCAF, (q15_t)0x9321, + (q15_t)0xBCDA, (q15_t)0x9306, (q15_t)0xBD05, (q15_t)0x92EC, + (q15_t)0xBD2F, (q15_t)0x92D2, (q15_t)0xBD5A, (q15_t)0x92B7, + (q15_t)0xBD85, (q15_t)0x929D, (q15_t)0xBDB0, (q15_t)0x9283, + (q15_t)0xBDDB, (q15_t)0x9269, (q15_t)0xBE06, (q15_t)0x924F, + (q15_t)0xBE31, (q15_t)0x9235, (q15_t)0xBE5D, (q15_t)0x921C, + (q15_t)0xBE88, (q15_t)0x9202, (q15_t)0xBEB3, (q15_t)0x91E8, + (q15_t)0xBEDE, (q15_t)0x91CF, (q15_t)0xBF09, (q15_t)0x91B5, + (q15_t)0xBF35, (q15_t)0x919C, (q15_t)0xBF60, (q15_t)0x9182, + (q15_t)0xBF8C, (q15_t)0x9169, (q15_t)0xBFB7, (q15_t)0x9150, + (q15_t)0xBFE2, (q15_t)0x9136, (q15_t)0xC00E, (q15_t)0x911D, + (q15_t)0xC03A, (q15_t)0x9104, (q15_t)0xC065, (q15_t)0x90EB, + (q15_t)0xC091, (q15_t)0x90D2, (q15_t)0xC0BC, (q15_t)0x90B9, + (q15_t)0xC0E8, (q15_t)0x90A0, (q15_t)0xC114, (q15_t)0x9088, + (q15_t)0xC140, (q15_t)0x906F, (q15_t)0xC16C, (q15_t)0x9056, + (q15_t)0xC197, (q15_t)0x903E, (q15_t)0xC1C3, (q15_t)0x9025, + (q15_t)0xC1EF, (q15_t)0x900D, (q15_t)0xC21B, (q15_t)0x8FF5, + (q15_t)0xC247, (q15_t)0x8FDC, (q15_t)0xC273, (q15_t)0x8FC4, + (q15_t)0xC29F, (q15_t)0x8FAC, (q15_t)0xC2CC, (q15_t)0x8F94, + (q15_t)0xC2F8, (q15_t)0x8F7C, (q15_t)0xC324, (q15_t)0x8F64, + (q15_t)0xC350, (q15_t)0x8F4C, (q15_t)0xC37C, (q15_t)0x8F34, + (q15_t)0xC3A9, (q15_t)0x8F1D, (q15_t)0xC3D5, (q15_t)0x8F05, + (q15_t)0xC402, (q15_t)0x8EED, (q15_t)0xC42E, (q15_t)0x8ED6, + (q15_t)0xC45A, (q15_t)0x8EBE, (q15_t)0xC487, (q15_t)0x8EA7, + (q15_t)0xC4B3, (q15_t)0x8E90, (q15_t)0xC4E0, (q15_t)0x8E79, + (q15_t)0xC50D, (q15_t)0x8E61, (q15_t)0xC539, (q15_t)0x8E4A, + (q15_t)0xC566, (q15_t)0x8E33, (q15_t)0xC593, (q15_t)0x8E1C, + (q15_t)0xC5BF, (q15_t)0x8E05, (q15_t)0xC5EC, (q15_t)0x8DEE, + (q15_t)0xC619, (q15_t)0x8DD8, (q15_t)0xC646, (q15_t)0x8DC1, + (q15_t)0xC673, (q15_t)0x8DAA, (q15_t)0xC6A0, (q15_t)0x8D94, + (q15_t)0xC6CD, (q15_t)0x8D7D, (q15_t)0xC6F9, (q15_t)0x8D67, + (q15_t)0xC727, (q15_t)0x8D50, (q15_t)0xC754, (q15_t)0x8D3A, + (q15_t)0xC781, (q15_t)0x8D24, (q15_t)0xC7AE, (q15_t)0x8D0E, + (q15_t)0xC7DB, (q15_t)0x8CF8, (q15_t)0xC808, (q15_t)0x8CE2, + (q15_t)0xC835, (q15_t)0x8CCC, (q15_t)0xC863, (q15_t)0x8CB6, + (q15_t)0xC890, (q15_t)0x8CA0, (q15_t)0xC8BD, (q15_t)0x8C8A, + (q15_t)0xC8EB, (q15_t)0x8C75, (q15_t)0xC918, (q15_t)0x8C5F, + (q15_t)0xC945, (q15_t)0x8C4A, (q15_t)0xC973, (q15_t)0x8C34, + (q15_t)0xC9A0, (q15_t)0x8C1F, (q15_t)0xC9CE, (q15_t)0x8C09, + (q15_t)0xC9FB, (q15_t)0x8BF4, (q15_t)0xCA29, (q15_t)0x8BDF, + (q15_t)0xCA57, (q15_t)0x8BCA, (q15_t)0xCA84, (q15_t)0x8BB5, + (q15_t)0xCAB2, (q15_t)0x8BA0, (q15_t)0xCAE0, (q15_t)0x8B8B, + (q15_t)0xCB0D, (q15_t)0x8B76, (q15_t)0xCB3B, (q15_t)0x8B61, + (q15_t)0xCB69, (q15_t)0x8B4D, (q15_t)0xCB97, (q15_t)0x8B38, + (q15_t)0xCBC5, (q15_t)0x8B24, (q15_t)0xCBF3, (q15_t)0x8B0F, + (q15_t)0xCC21, (q15_t)0x8AFB, (q15_t)0xCC4F, (q15_t)0x8AE6, + (q15_t)0xCC7D, (q15_t)0x8AD2, (q15_t)0xCCAB, (q15_t)0x8ABE, + (q15_t)0xCCD9, (q15_t)0x8AAA, (q15_t)0xCD07, (q15_t)0x8A96, + (q15_t)0xCD35, (q15_t)0x8A82, (q15_t)0xCD63, (q15_t)0x8A6E, + (q15_t)0xCD91, (q15_t)0x8A5A, (q15_t)0xCDBF, (q15_t)0x8A46, + (q15_t)0xCDEE, (q15_t)0x8A33, (q15_t)0xCE1C, (q15_t)0x8A1F, + (q15_t)0xCE4A, (q15_t)0x8A0B, (q15_t)0xCE79, (q15_t)0x89F8, + (q15_t)0xCEA7, (q15_t)0x89E4, (q15_t)0xCED5, (q15_t)0x89D1, + (q15_t)0xCF04, (q15_t)0x89BE, (q15_t)0xCF32, (q15_t)0x89AB, + (q15_t)0xCF61, (q15_t)0x8997, (q15_t)0xCF8F, (q15_t)0x8984, + (q15_t)0xCFBE, (q15_t)0x8971, (q15_t)0xCFEC, (q15_t)0x895F, + (q15_t)0xD01B, (q15_t)0x894C, (q15_t)0xD04A, (q15_t)0x8939, + (q15_t)0xD078, (q15_t)0x8926, (q15_t)0xD0A7, (q15_t)0x8914, + (q15_t)0xD0D6, (q15_t)0x8901, (q15_t)0xD104, (q15_t)0x88EF, + (q15_t)0xD133, (q15_t)0x88DC, (q15_t)0xD162, (q15_t)0x88CA, + (q15_t)0xD191, (q15_t)0x88B8, (q15_t)0xD1C0, (q15_t)0x88A5, + (q15_t)0xD1EE, (q15_t)0x8893, (q15_t)0xD21D, (q15_t)0x8881, + (q15_t)0xD24C, (q15_t)0x886F, (q15_t)0xD27B, (q15_t)0x885D, + (q15_t)0xD2AA, (q15_t)0x884B, (q15_t)0xD2D9, (q15_t)0x883A, + (q15_t)0xD308, (q15_t)0x8828, (q15_t)0xD337, (q15_t)0x8816, + (q15_t)0xD367, (q15_t)0x8805, (q15_t)0xD396, (q15_t)0x87F3, + (q15_t)0xD3C5, (q15_t)0x87E2, (q15_t)0xD3F4, (q15_t)0x87D1, + (q15_t)0xD423, (q15_t)0x87BF, (q15_t)0xD452, (q15_t)0x87AE, + (q15_t)0xD482, (q15_t)0x879D, (q15_t)0xD4B1, (q15_t)0x878C, + (q15_t)0xD4E0, (q15_t)0x877B, (q15_t)0xD510, (q15_t)0x876A, + (q15_t)0xD53F, (q15_t)0x8759, (q15_t)0xD56E, (q15_t)0x8749, + (q15_t)0xD59E, (q15_t)0x8738, (q15_t)0xD5CD, (q15_t)0x8727, + (q15_t)0xD5FD, (q15_t)0x8717, (q15_t)0xD62C, (q15_t)0x8706, + (q15_t)0xD65C, (q15_t)0x86F6, (q15_t)0xD68B, (q15_t)0x86E6, + (q15_t)0xD6BB, (q15_t)0x86D5, (q15_t)0xD6EA, (q15_t)0x86C5, + (q15_t)0xD71A, (q15_t)0x86B5, (q15_t)0xD74A, (q15_t)0x86A5, + (q15_t)0xD779, (q15_t)0x8695, (q15_t)0xD7A9, (q15_t)0x8685, + (q15_t)0xD7D9, (q15_t)0x8675, (q15_t)0xD809, (q15_t)0x8666, + (q15_t)0xD838, (q15_t)0x8656, (q15_t)0xD868, (q15_t)0x8646, + (q15_t)0xD898, (q15_t)0x8637, (q15_t)0xD8C8, (q15_t)0x8627, + (q15_t)0xD8F8, (q15_t)0x8618, (q15_t)0xD927, (q15_t)0x8609, + (q15_t)0xD957, (q15_t)0x85FA, (q15_t)0xD987, (q15_t)0x85EA, + (q15_t)0xD9B7, (q15_t)0x85DB, (q15_t)0xD9E7, (q15_t)0x85CC, + (q15_t)0xDA17, (q15_t)0x85BD, (q15_t)0xDA47, (q15_t)0x85AF, + (q15_t)0xDA77, (q15_t)0x85A0, (q15_t)0xDAA7, (q15_t)0x8591, + (q15_t)0xDAD7, (q15_t)0x8582, (q15_t)0xDB08, (q15_t)0x8574, + (q15_t)0xDB38, (q15_t)0x8565, (q15_t)0xDB68, (q15_t)0x8557, + (q15_t)0xDB98, (q15_t)0x8549, (q15_t)0xDBC8, (q15_t)0x853A, + (q15_t)0xDBF8, (q15_t)0x852C, (q15_t)0xDC29, (q15_t)0x851E, + (q15_t)0xDC59, (q15_t)0x8510, (q15_t)0xDC89, (q15_t)0x8502, + (q15_t)0xDCBA, (q15_t)0x84F4, (q15_t)0xDCEA, (q15_t)0x84E6, + (q15_t)0xDD1A, (q15_t)0x84D9, (q15_t)0xDD4B, (q15_t)0x84CB, + (q15_t)0xDD7B, (q15_t)0x84BD, (q15_t)0xDDAB, (q15_t)0x84B0, + (q15_t)0xDDDC, (q15_t)0x84A2, (q15_t)0xDE0C, (q15_t)0x8495, + (q15_t)0xDE3D, (q15_t)0x8488, (q15_t)0xDE6D, (q15_t)0x847B, + (q15_t)0xDE9E, (q15_t)0x846D, (q15_t)0xDECE, (q15_t)0x8460, + (q15_t)0xDEFF, (q15_t)0x8453, (q15_t)0xDF2F, (q15_t)0x8446, + (q15_t)0xDF60, (q15_t)0x843A, (q15_t)0xDF91, (q15_t)0x842D, + (q15_t)0xDFC1, (q15_t)0x8420, (q15_t)0xDFF2, (q15_t)0x8414, + (q15_t)0xE023, (q15_t)0x8407, (q15_t)0xE053, (q15_t)0x83FA, + (q15_t)0xE084, (q15_t)0x83EE, (q15_t)0xE0B5, (q15_t)0x83E2, + (q15_t)0xE0E6, (q15_t)0x83D6, (q15_t)0xE116, (q15_t)0x83C9, + (q15_t)0xE147, (q15_t)0x83BD, (q15_t)0xE178, (q15_t)0x83B1, + (q15_t)0xE1A9, (q15_t)0x83A5, (q15_t)0xE1DA, (q15_t)0x8399, + (q15_t)0xE20A, (q15_t)0x838E, (q15_t)0xE23B, (q15_t)0x8382, + (q15_t)0xE26C, (q15_t)0x8376, (q15_t)0xE29D, (q15_t)0x836B, + (q15_t)0xE2CE, (q15_t)0x835F, (q15_t)0xE2FF, (q15_t)0x8354, + (q15_t)0xE330, (q15_t)0x8348, (q15_t)0xE361, (q15_t)0x833D, + (q15_t)0xE392, (q15_t)0x8332, (q15_t)0xE3C3, (q15_t)0x8327, + (q15_t)0xE3F4, (q15_t)0x831C, (q15_t)0xE425, (q15_t)0x8311, + (q15_t)0xE456, (q15_t)0x8306, (q15_t)0xE487, (q15_t)0x82FB, + (q15_t)0xE4B8, (q15_t)0x82F0, (q15_t)0xE4E9, (q15_t)0x82E6, + (q15_t)0xE51B, (q15_t)0x82DB, (q15_t)0xE54C, (q15_t)0x82D0, + (q15_t)0xE57D, (q15_t)0x82C6, (q15_t)0xE5AE, (q15_t)0x82BC, + (q15_t)0xE5DF, (q15_t)0x82B1, (q15_t)0xE610, (q15_t)0x82A7, + (q15_t)0xE642, (q15_t)0x829D, (q15_t)0xE673, (q15_t)0x8293, + (q15_t)0xE6A4, (q15_t)0x8289, (q15_t)0xE6D5, (q15_t)0x827F, + (q15_t)0xE707, (q15_t)0x8275, (q15_t)0xE738, (q15_t)0x826B, + (q15_t)0xE769, (q15_t)0x8262, (q15_t)0xE79B, (q15_t)0x8258, + (q15_t)0xE7CC, (q15_t)0x824F, (q15_t)0xE7FD, (q15_t)0x8245, + (q15_t)0xE82F, (q15_t)0x823C, (q15_t)0xE860, (q15_t)0x8232, + (q15_t)0xE892, (q15_t)0x8229, (q15_t)0xE8C3, (q15_t)0x8220, + (q15_t)0xE8F5, (q15_t)0x8217, (q15_t)0xE926, (q15_t)0x820E, + (q15_t)0xE957, (q15_t)0x8205, (q15_t)0xE989, (q15_t)0x81FC, + (q15_t)0xE9BA, (q15_t)0x81F3, (q15_t)0xE9EC, (q15_t)0x81EB, + (q15_t)0xEA1D, (q15_t)0x81E2, (q15_t)0xEA4F, (q15_t)0x81D9, + (q15_t)0xEA80, (q15_t)0x81D1, (q15_t)0xEAB2, (q15_t)0x81C8, + (q15_t)0xEAE4, (q15_t)0x81C0, (q15_t)0xEB15, (q15_t)0x81B8, + (q15_t)0xEB47, (q15_t)0x81B0, (q15_t)0xEB78, (q15_t)0x81A8, + (q15_t)0xEBAA, (q15_t)0x81A0, (q15_t)0xEBDC, (q15_t)0x8198, + (q15_t)0xEC0D, (q15_t)0x8190, (q15_t)0xEC3F, (q15_t)0x8188, + (q15_t)0xEC71, (q15_t)0x8180, (q15_t)0xECA2, (q15_t)0x8179, + (q15_t)0xECD4, (q15_t)0x8171, (q15_t)0xED06, (q15_t)0x816A, + (q15_t)0xED37, (q15_t)0x8162, (q15_t)0xED69, (q15_t)0x815B, + (q15_t)0xED9B, (q15_t)0x8154, (q15_t)0xEDCD, (q15_t)0x814C, + (q15_t)0xEDFE, (q15_t)0x8145, (q15_t)0xEE30, (q15_t)0x813E, + (q15_t)0xEE62, (q15_t)0x8137, (q15_t)0xEE94, (q15_t)0x8130, + (q15_t)0xEEC6, (q15_t)0x812A, (q15_t)0xEEF7, (q15_t)0x8123, + (q15_t)0xEF29, (q15_t)0x811C, (q15_t)0xEF5B, (q15_t)0x8116, + (q15_t)0xEF8D, (q15_t)0x810F, (q15_t)0xEFBF, (q15_t)0x8109, + (q15_t)0xEFF1, (q15_t)0x8102, (q15_t)0xF022, (q15_t)0x80FC, + (q15_t)0xF054, (q15_t)0x80F6, (q15_t)0xF086, (q15_t)0x80F0, + (q15_t)0xF0B8, (q15_t)0x80EA, (q15_t)0xF0EA, (q15_t)0x80E4, + (q15_t)0xF11C, (q15_t)0x80DE, (q15_t)0xF14E, (q15_t)0x80D8, + (q15_t)0xF180, (q15_t)0x80D2, (q15_t)0xF1B2, (q15_t)0x80CD, + (q15_t)0xF1E4, (q15_t)0x80C7, (q15_t)0xF216, (q15_t)0x80C2, + (q15_t)0xF248, (q15_t)0x80BC, (q15_t)0xF27A, (q15_t)0x80B7, + (q15_t)0xF2AC, (q15_t)0x80B2, (q15_t)0xF2DE, (q15_t)0x80AC, + (q15_t)0xF310, (q15_t)0x80A7, (q15_t)0xF342, (q15_t)0x80A2, + (q15_t)0xF374, (q15_t)0x809D, (q15_t)0xF3A6, (q15_t)0x8098, + (q15_t)0xF3D8, (q15_t)0x8094, (q15_t)0xF40A, (q15_t)0x808F, + (q15_t)0xF43C, (q15_t)0x808A, (q15_t)0xF46E, (q15_t)0x8086, + (q15_t)0xF4A0, (q15_t)0x8081, (q15_t)0xF4D2, (q15_t)0x807D, + (q15_t)0xF504, (q15_t)0x8078, (q15_t)0xF536, (q15_t)0x8074, + (q15_t)0xF568, (q15_t)0x8070, (q15_t)0xF59A, (q15_t)0x806C, + (q15_t)0xF5CC, (q15_t)0x8068, (q15_t)0xF5FF, (q15_t)0x8064, + (q15_t)0xF631, (q15_t)0x8060, (q15_t)0xF663, (q15_t)0x805C, + (q15_t)0xF695, (q15_t)0x8058, (q15_t)0xF6C7, (q15_t)0x8055, + (q15_t)0xF6F9, (q15_t)0x8051, (q15_t)0xF72B, (q15_t)0x804E, + (q15_t)0xF75D, (q15_t)0x804A, (q15_t)0xF790, (q15_t)0x8047, + (q15_t)0xF7C2, (q15_t)0x8043, (q15_t)0xF7F4, (q15_t)0x8040, + (q15_t)0xF826, (q15_t)0x803D, (q15_t)0xF858, (q15_t)0x803A, + (q15_t)0xF88A, (q15_t)0x8037, (q15_t)0xF8BD, (q15_t)0x8034, + (q15_t)0xF8EF, (q15_t)0x8031, (q15_t)0xF921, (q15_t)0x802F, + (q15_t)0xF953, (q15_t)0x802C, (q15_t)0xF985, (q15_t)0x8029, + (q15_t)0xF9B8, (q15_t)0x8027, (q15_t)0xF9EA, (q15_t)0x8025, + (q15_t)0xFA1C, (q15_t)0x8022, (q15_t)0xFA4E, (q15_t)0x8020, + (q15_t)0xFA80, (q15_t)0x801E, (q15_t)0xFAB3, (q15_t)0x801C, + (q15_t)0xFAE5, (q15_t)0x801A, (q15_t)0xFB17, (q15_t)0x8018, + (q15_t)0xFB49, (q15_t)0x8016, (q15_t)0xFB7C, (q15_t)0x8014, + (q15_t)0xFBAE, (q15_t)0x8012, (q15_t)0xFBE0, (q15_t)0x8011, + (q15_t)0xFC12, (q15_t)0x800F, (q15_t)0xFC45, (q15_t)0x800D, + (q15_t)0xFC77, (q15_t)0x800C, (q15_t)0xFCA9, (q15_t)0x800B, + (q15_t)0xFCDB, (q15_t)0x8009, (q15_t)0xFD0E, (q15_t)0x8008, + (q15_t)0xFD40, (q15_t)0x8007, (q15_t)0xFD72, (q15_t)0x8006, + (q15_t)0xFDA4, (q15_t)0x8005, (q15_t)0xFDD7, (q15_t)0x8004, + (q15_t)0xFE09, (q15_t)0x8003, (q15_t)0xFE3B, (q15_t)0x8003, + (q15_t)0xFE6D, (q15_t)0x8002, (q15_t)0xFEA0, (q15_t)0x8001, + (q15_t)0xFED2, (q15_t)0x8001, (q15_t)0xFF04, (q15_t)0x8000, + (q15_t)0xFF36, (q15_t)0x8000, (q15_t)0xFF69, (q15_t)0x8000, + (q15_t)0xFF9B, (q15_t)0x8000, (q15_t)0xFFCD, (q15_t)0x8000 +}; + + +/** +* @} end of CFFT_CIFFT group +*/ + +/* +* @brief Q15 table for reciprocal +*/ +const q15_t ALIGN4 armRecipTableQ15[64] = { + 0x7F03, 0x7D13, 0x7B31, 0x795E, 0x7798, 0x75E0, + 0x7434, 0x7294, 0x70FF, 0x6F76, 0x6DF6, 0x6C82, + 0x6B16, 0x69B5, 0x685C, 0x670C, 0x65C4, 0x6484, + 0x634C, 0x621C, 0x60F3, 0x5FD0, 0x5EB5, 0x5DA0, + 0x5C91, 0x5B88, 0x5A85, 0x5988, 0x5890, 0x579E, + 0x56B0, 0x55C8, 0x54E4, 0x5405, 0x532B, 0x5255, + 0x5183, 0x50B6, 0x4FEC, 0x4F26, 0x4E64, 0x4DA6, + 0x4CEC, 0x4C34, 0x4B81, 0x4AD0, 0x4A23, 0x4978, + 0x48D1, 0x482D, 0x478C, 0x46ED, 0x4651, 0x45B8, + 0x4521, 0x448D, 0x43FC, 0x436C, 0x42DF, 0x4255, + 0x41CC, 0x4146, 0x40C2, 0x4040 +}; + +/* +* @brief Q31 table for reciprocal +*/ +const q31_t armRecipTableQ31[64] = { + 0x7F03F03F, 0x7D137420, 0x7B31E739, 0x795E9F94, 0x7798FD29, 0x75E06928, + 0x7434554D, 0x72943B4B, 0x70FF9C40, 0x6F760031, 0x6DF6F593, 0x6C8210E3, + 0x6B16EC3A, 0x69B526F6, 0x685C655F, 0x670C505D, 0x65C4952D, 0x6484E519, + 0x634CF53E, 0x621C7E4F, 0x60F33C61, 0x5FD0EEB3, 0x5EB55785, 0x5DA03BEB, + 0x5C9163A1, 0x5B8898E6, 0x5A85A85A, 0x598860DF, 0x58909373, 0x579E1318, + 0x56B0B4B8, 0x55C84F0B, 0x54E4BA80, 0x5405D124, 0x532B6E8F, 0x52556FD0, + 0x5183B35A, 0x50B618F3, 0x4FEC81A2, 0x4F26CFA2, 0x4E64E64E, 0x4DA6AA1D, + 0x4CEC008B, 0x4C34D010, 0x4B810016, 0x4AD078EF, 0x4A2323C4, 0x4978EA96, + 0x48D1B827, 0x482D77FE, 0x478C1657, 0x46ED801D, 0x4651A2E5, 0x45B86CE2, + 0x4521CCE1, 0x448DB244, 0x43FC0CFA, 0x436CCD78, 0x42DFE4B4, 0x42554426, + 0x41CCDDB6, 0x4146A3C6, 0x40C28923, 0x40408102 +}; + +const uint16_t armBitRevIndexTable16[ARMBITREVINDEXTABLE_16_TABLE_LENGTH] = +{ + /* 8x2, size 20 */ + 8,64, 24,72, 16,64, 40,80, 32,64, 56,88, 48,72, 88,104, 72,96, 104,112 +}; + +const uint16_t armBitRevIndexTable32[ARMBITREVINDEXTABLE_32_TABLE_LENGTH] = +{ + /* 8x4, size 48 */ + 8,64, 16,128, 24,192, 32,64, 40,72, 48,136, 56,200, 64,128, 72,80, 88,208, + 80,144, 96,192, 104,208, 112,152, 120,216, 136,192, 144,160, 168,208, + 152,224, 176,208, 184,232, 216,240, 200,224, 232,240 +}; + +const uint16_t armBitRevIndexTable64[ARMBITREVINDEXTABLE_64_TABLE_LENGTH] = +{ + /* radix 8, size 56 */ + 8,64, 16,128, 24,192, 32,256, 40,320, 48,384, 56,448, 80,136, 88,200, + 96,264, 104,328, 112,392, 120,456, 152,208, 160,272, 168,336, 176,400, + 184,464, 224,280, 232,344, 240,408, 248,472, 296,352, 304,416, 312,480, + 368,424, 376,488, 440,496 +}; + +const uint16_t armBitRevIndexTable128[ARMBITREVINDEXTABLE_128_TABLE_LENGTH] = +{ + /* 8x2, size 208 */ + 8,512, 16,64, 24,576, 32,128, 40,640, 48,192, 56,704, 64,256, 72,768, + 80,320, 88,832, 96,384, 104,896, 112,448, 120,960, 128,512, 136,520, + 144,768, 152,584, 160,520, 168,648, 176,200, 184,712, 192,264, 200,776, + 208,328, 216,840, 224,392, 232,904, 240,456, 248,968, 264,528, 272,320, + 280,592, 288,768, 296,656, 304,328, 312,720, 328,784, 344,848, 352,400, + 360,912, 368,464, 376,976, 384,576, 392,536, 400,832, 408,600, 416,584, + 424,664, 432,840, 440,728, 448,592, 456,792, 464,848, 472,856, 480,600, + 488,920, 496,856, 504,984, 520,544, 528,576, 536,608, 552,672, 560,608, + 568,736, 576,768, 584,800, 592,832, 600,864, 608,800, 616,928, 624,864, + 632,992, 648,672, 656,896, 664,928, 688,904, 696,744, 704,896, 712,808, + 720,912, 728,872, 736,928, 744,936, 752,920, 760,1000, 776,800, 784,832, + 792,864, 808,904, 816,864, 824,920, 840,864, 856,880, 872,944, 888,1008, + 904,928, 912,960, 920,992, 944,968, 952,1000, 968,992, 984,1008 +}; + +const uint16_t armBitRevIndexTable256[ARMBITREVINDEXTABLE_256_TABLE_LENGTH] = +{ + /* 8x4, size 440 */ + 8,512, 16,1024, 24,1536, 32,64, 40,576, 48,1088, 56,1600, 64,128, 72,640, + 80,1152, 88,1664, 96,192, 104,704, 112,1216, 120,1728, 128,256, 136,768, + 144,1280, 152,1792, 160,320, 168,832, 176,1344, 184,1856, 192,384, + 200,896, 208,1408, 216,1920, 224,448, 232,960, 240,1472, 248,1984, + 256,512, 264,520, 272,1032, 280,1544, 288,640, 296,584, 304,1096, 312,1608, + 320,768, 328,648, 336,1160, 344,1672, 352,896, 360,712, 368,1224, 376,1736, + 384,520, 392,776, 400,1288, 408,1800, 416,648, 424,840, 432,1352, 440,1864, + 448,776, 456,904, 464,1416, 472,1928, 480,904, 488,968, 496,1480, 504,1992, + 520,528, 512,1024, 528,1040, 536,1552, 544,1152, 552,592, 560,1104, + 568,1616, 576,1280, 584,656, 592,1168, 600,1680, 608,1408, 616,720, + 624,1232, 632,1744, 640,1032, 648,784, 656,1296, 664,1808, 672,1160, + 680,848, 688,1360, 696,1872, 704,1288, 712,912, 720,1424, 728,1936, + 736,1416, 744,976, 752,1488, 760,2000, 768,1536, 776,1552, 784,1048, + 792,1560, 800,1664, 808,1680, 816,1112, 824,1624, 832,1792, 840,1808, + 848,1176, 856,1688, 864,1920, 872,1936, 880,1240, 888,1752, 896,1544, + 904,1560, 912,1304, 920,1816, 928,1672, 936,1688, 944,1368, 952,1880, + 960,1800, 968,1816, 976,1432, 984,1944, 992,1928, 1000,1944, 1008,1496, + 1016,2008, 1032,1152, 1040,1056, 1048,1568, 1064,1408, 1072,1120, + 1080,1632, 1088,1536, 1096,1160, 1104,1184, 1112,1696, 1120,1552, + 1128,1416, 1136,1248, 1144,1760, 1160,1664, 1168,1312, 1176,1824, + 1184,1544, 1192,1920, 1200,1376, 1208,1888, 1216,1568, 1224,1672, + 1232,1440, 1240,1952, 1248,1560, 1256,1928, 1264,1504, 1272,2016, + 1288,1312, 1296,1408, 1304,1576, 1320,1424, 1328,1416, 1336,1640, + 1344,1792, 1352,1824, 1360,1920, 1368,1704, 1376,1800, 1384,1432, + 1392,1928, 1400,1768, 1416,1680, 1432,1832, 1440,1576, 1448,1936, + 1456,1832, 1464,1896, 1472,1808, 1480,1688, 1488,1936, 1496,1960, + 1504,1816, 1512,1944, 1520,1944, 1528,2024, 1560,1584, 1592,1648, + 1600,1792, 1608,1920, 1616,1800, 1624,1712, 1632,1808, 1640,1936, + 1648,1816, 1656,1776, 1672,1696, 1688,1840, 1704,1952, 1712,1928, + 1720,1904, 1728,1824, 1736,1952, 1744,1832, 1752,1968, 1760,1840, + 1768,1960, 1776,1944, 1784,2032, 1864,1872, 1848,1944, 1872,1888, + 1880,1904, 1888,1984, 1896,2000, 1912,2032, 1904,2016, 1976,2032, + 1960,1968, 2008,2032, 1992,2016, 2024,2032 +}; + +const uint16_t armBitRevIndexTable512[ARMBITREVINDEXTABLE_512_TABLE_LENGTH] = +{ + /* radix 8, size 448 */ + 8,512, 16,1024, 24,1536, 32,2048, 40,2560, 48,3072, 56,3584, 72,576, + 80,1088, 88,1600, 96,2112, 104,2624, 112,3136, 120,3648, 136,640, 144,1152, + 152,1664, 160,2176, 168,2688, 176,3200, 184,3712, 200,704, 208,1216, + 216,1728, 224,2240, 232,2752, 240,3264, 248,3776, 264,768, 272,1280, + 280,1792, 288,2304, 296,2816, 304,3328, 312,3840, 328,832, 336,1344, + 344,1856, 352,2368, 360,2880, 368,3392, 376,3904, 392,896, 400,1408, + 408,1920, 416,2432, 424,2944, 432,3456, 440,3968, 456,960, 464,1472, + 472,1984, 480,2496, 488,3008, 496,3520, 504,4032, 528,1032, 536,1544, + 544,2056, 552,2568, 560,3080, 568,3592, 592,1096, 600,1608, 608,2120, + 616,2632, 624,3144, 632,3656, 656,1160, 664,1672, 672,2184, 680,2696, + 688,3208, 696,3720, 720,1224, 728,1736, 736,2248, 744,2760, 752,3272, + 760,3784, 784,1288, 792,1800, 800,2312, 808,2824, 816,3336, 824,3848, + 848,1352, 856,1864, 864,2376, 872,2888, 880,3400, 888,3912, 912,1416, + 920,1928, 928,2440, 936,2952, 944,3464, 952,3976, 976,1480, 984,1992, + 992,2504, 1000,3016, 1008,3528, 1016,4040, 1048,1552, 1056,2064, 1064,2576, + 1072,3088, 1080,3600, 1112,1616, 1120,2128, 1128,2640, 1136,3152, + 1144,3664, 1176,1680, 1184,2192, 1192,2704, 1200,3216, 1208,3728, + 1240,1744, 1248,2256, 1256,2768, 1264,3280, 1272,3792, 1304,1808, + 1312,2320, 1320,2832, 1328,3344, 1336,3856, 1368,1872, 1376,2384, + 1384,2896, 1392,3408, 1400,3920, 1432,1936, 1440,2448, 1448,2960, + 1456,3472, 1464,3984, 1496,2000, 1504,2512, 1512,3024, 1520,3536, + 1528,4048, 1568,2072, 1576,2584, 1584,3096, 1592,3608, 1632,2136, + 1640,2648, 1648,3160, 1656,3672, 1696,2200, 1704,2712, 1712,3224, + 1720,3736, 1760,2264, 1768,2776, 1776,3288, 1784,3800, 1824,2328, + 1832,2840, 1840,3352, 1848,3864, 1888,2392, 1896,2904, 1904,3416, + 1912,3928, 1952,2456, 1960,2968, 1968,3480, 1976,3992, 2016,2520, + 2024,3032, 2032,3544, 2040,4056, 2088,2592, 2096,3104, 2104,3616, + 2152,2656, 2160,3168, 2168,3680, 2216,2720, 2224,3232, 2232,3744, + 2280,2784, 2288,3296, 2296,3808, 2344,2848, 2352,3360, 2360,3872, + 2408,2912, 2416,3424, 2424,3936, 2472,2976, 2480,3488, 2488,4000, + 2536,3040, 2544,3552, 2552,4064, 2608,3112, 2616,3624, 2672,3176, + 2680,3688, 2736,3240, 2744,3752, 2800,3304, 2808,3816, 2864,3368, + 2872,3880, 2928,3432, 2936,3944, 2992,3496, 3000,4008, 3056,3560, + 3064,4072, 3128,3632, 3192,3696, 3256,3760, 3320,3824, 3384,3888, + 3448,3952, 3512,4016, 3576,4080 +}; + +const uint16_t armBitRevIndexTable1024[ARMBITREVINDEXTABLE_1024_TABLE_LENGTH] = +{ + /* 8x2, size 1800 */ + 8,4096, 16,512, 24,4608, 32,1024, 40,5120, 48,1536, 56,5632, 64,2048, + 72,6144, 80,2560, 88,6656, 96,3072, 104,7168, 112,3584, 120,7680, 128,2048, + 136,4160, 144,576, 152,4672, 160,1088, 168,5184, 176,1600, 184,5696, + 192,2112, 200,6208, 208,2624, 216,6720, 224,3136, 232,7232, 240,3648, + 248,7744, 256,2048, 264,4224, 272,640, 280,4736, 288,1152, 296,5248, + 304,1664, 312,5760, 320,2176, 328,6272, 336,2688, 344,6784, 352,3200, + 360,7296, 368,3712, 376,7808, 384,2112, 392,4288, 400,704, 408,4800, + 416,1216, 424,5312, 432,1728, 440,5824, 448,2240, 456,6336, 464,2752, + 472,6848, 480,3264, 488,7360, 496,3776, 504,7872, 512,2048, 520,4352, + 528,768, 536,4864, 544,1280, 552,5376, 560,1792, 568,5888, 576,2304, + 584,6400, 592,2816, 600,6912, 608,3328, 616,7424, 624,3840, 632,7936, + 640,2176, 648,4416, 656,832, 664,4928, 672,1344, 680,5440, 688,1856, + 696,5952, 704,2368, 712,6464, 720,2880, 728,6976, 736,3392, 744,7488, + 752,3904, 760,8000, 768,2112, 776,4480, 784,896, 792,4992, 800,1408, + 808,5504, 816,1920, 824,6016, 832,2432, 840,6528, 848,2944, 856,7040, + 864,3456, 872,7552, 880,3968, 888,8064, 896,2240, 904,4544, 912,960, + 920,5056, 928,1472, 936,5568, 944,1984, 952,6080, 960,2496, 968,6592, + 976,3008, 984,7104, 992,3520, 1000,7616, 1008,4032, 1016,8128, 1024,4096, + 1032,4104, 1040,4352, 1048,4616, 1056,4104, 1064,5128, 1072,1544, + 1080,5640, 1088,2056, 1096,6152, 1104,2568, 1112,6664, 1120,3080, + 1128,7176, 1136,3592, 1144,7688, 1152,6144, 1160,4168, 1168,6400, + 1176,4680, 1184,6152, 1192,5192, 1200,1608, 1208,5704, 1216,2120, + 1224,6216, 1232,2632, 1240,6728, 1248,3144, 1256,7240, 1264,3656, + 1272,7752, 1280,4160, 1288,4232, 1296,4416, 1304,4744, 1312,4168, + 1320,5256, 1328,1672, 1336,5768, 1344,2184, 1352,6280, 1360,2696, + 1368,6792, 1376,3208, 1384,7304, 1392,3720, 1400,7816, 1408,6208, + 1416,4296, 1424,6464, 1432,4808, 1440,6216, 1448,5320, 1456,1736, + 1464,5832, 1472,2248, 1480,6344, 1488,2760, 1496,6856, 1504,3272, + 1512,7368, 1520,3784, 1528,7880, 1536,4224, 1544,4360, 1552,4480, + 1560,4872, 1568,4232, 1576,5384, 1584,1800, 1592,5896, 1600,2312, + 1608,6408, 1616,2824, 1624,6920, 1632,3336, 1640,7432, 1648,3848, + 1656,7944, 1664,6272, 1672,4424, 1680,6528, 1688,4936, 1696,6280, + 1704,5448, 1712,1864, 1720,5960, 1728,2376, 1736,6472, 1744,2888, + 1752,6984, 1760,3400, 1768,7496, 1776,3912, 1784,8008, 1792,4288, + 1800,4488, 1808,4544, 1816,5000, 1824,4296, 1832,5512, 1840,1928, + 1848,6024, 1856,2440, 1864,6536, 1872,2952, 1880,7048, 1888,3464, + 1896,7560, 1904,3976, 1912,8072, 1920,6336, 1928,4552, 1936,6592, + 1944,5064, 1952,6344, 1960,5576, 1968,1992, 1976,6088, 1984,2504, + 1992,6600, 2000,3016, 2008,7112, 2016,3528, 2024,7624, 2032,4040, + 2040,8136, 2056,4112, 2064,2112, 2072,4624, 2080,4352, 2088,5136, + 2096,4480, 2104,5648, 2120,6160, 2128,2576, 2136,6672, 2144,3088, + 2152,7184, 2160,3600, 2168,7696, 2176,2560, 2184,4176, 2192,2816, + 2200,4688, 2208,2568, 2216,5200, 2224,2824, 2232,5712, 2240,2576, + 2248,6224, 2256,2640, 2264,6736, 2272,3152, 2280,7248, 2288,3664, + 2296,7760, 2312,4240, 2320,2432, 2328,4752, 2336,6400, 2344,5264, + 2352,6528, 2360,5776, 2368,2816, 2376,6288, 2384,2704, 2392,6800, + 2400,3216, 2408,7312, 2416,3728, 2424,7824, 2432,2624, 2440,4304, + 2448,2880, 2456,4816, 2464,2632, 2472,5328, 2480,2888, 2488,5840, + 2496,2640, 2504,6352, 2512,2768, 2520,6864, 2528,3280, 2536,7376, + 2544,3792, 2552,7888, 2568,4368, 2584,4880, 2592,4416, 2600,5392, + 2608,4544, 2616,5904, 2632,6416, 2640,2832, 2648,6928, 2656,3344, + 2664,7440, 2672,3856, 2680,7952, 2696,4432, 2704,2944, 2712,4944, + 2720,4432, 2728,5456, 2736,2952, 2744,5968, 2752,2944, 2760,6480, + 2768,2896, 2776,6992, 2784,3408, 2792,7504, 2800,3920, 2808,8016, + 2824,4496, 2840,5008, 2848,6464, 2856,5520, 2864,6592, 2872,6032, + 2888,6544, 2896,2960, 2904,7056, 2912,3472, 2920,7568, 2928,3984, + 2936,8080, 2952,4560, 2960,3008, 2968,5072, 2976,6480, 2984,5584, + 2992,3016, 3000,6096, 3016,6608, 3032,7120, 3040,3536, 3048,7632, + 3056,4048, 3064,8144, 3072,4608, 3080,4120, 3088,4864, 3096,4632, + 3104,4616, 3112,5144, 3120,4872, 3128,5656, 3136,4624, 3144,6168, + 3152,4880, 3160,6680, 3168,4632, 3176,7192, 3184,3608, 3192,7704, + 3200,6656, 3208,4184, 3216,6912, 3224,4696, 3232,6664, 3240,5208, + 3248,6920, 3256,5720, 3264,6672, 3272,6232, 3280,6928, 3288,6744, + 3296,6680, 3304,7256, 3312,3672, 3320,7768, 3328,4672, 3336,4248, + 3344,4928, 3352,4760, 3360,4680, 3368,5272, 3376,4936, 3384,5784, + 3392,4688, 3400,6296, 3408,4944, 3416,6808, 3424,4696, 3432,7320, + 3440,3736, 3448,7832, 3456,6720, 3464,4312, 3472,6976, 3480,4824, + 3488,6728, 3496,5336, 3504,6984, 3512,5848, 3520,6736, 3528,6360, + 3536,6992, 3544,6872, 3552,6744, 3560,7384, 3568,3800, 3576,7896, + 3584,4736, 3592,4376, 3600,4992, 3608,4888, 3616,4744, 3624,5400, + 3632,5000, 3640,5912, 3648,4752, 3656,6424, 3664,5008, 3672,6936, + 3680,4760, 3688,7448, 3696,3864, 3704,7960, 3712,6784, 3720,4440, + 3728,7040, 3736,4952, 3744,6792, 3752,5464, 3760,7048, 3768,5976, + 3776,6800, 3784,6488, 3792,7056, 3800,7000, 3808,6808, 3816,7512, + 3824,3928, 3832,8024, 3840,4800, 3848,4504, 3856,5056, 3864,5016, + 3872,4808, 3880,5528, 3888,5064, 3896,6040, 3904,4816, 3912,6552, + 3920,5072, 3928,7064, 3936,4824, 3944,7576, 3952,3992, 3960,8088, + 3968,6848, 3976,4568, 3984,7104, 3992,5080, 4000,6856, 4008,5592, + 4016,7112, 4024,6104, 4032,6864, 4040,6616, 4048,7120, 4056,7128, + 4064,6872, 4072,7640, 4080,7128, 4088,8152, 4104,4128, 4112,4160, + 4120,4640, 4136,5152, 4144,4232, 4152,5664, 4160,4352, 4168,6176, + 4176,4416, 4184,6688, 4192,4616, 4200,7200, 4208,4744, 4216,7712, + 4224,4608, 4232,4616, 4240,4672, 4248,4704, 4256,4640, 4264,5216, + 4272,4704, 4280,5728, 4288,4864, 4296,6240, 4304,4928, 4312,6752, + 4320,4632, 4328,7264, 4336,4760, 4344,7776, 4360,4640, 4368,4416, + 4376,4768, 4384,6152, 4392,5280, 4400,6280, 4408,5792, 4424,6304, + 4440,6816, 4448,6664, 4456,7328, 4464,6792, 4472,7840, 4480,4624, + 4488,4632, 4496,4688, 4504,4832, 4512,6168, 4520,5344, 4528,6296, + 4536,5856, 4544,4880, 4552,6368, 4560,4944, 4568,6880, 4576,6680, + 4584,7392, 4592,6808, 4600,7904, 4608,6144, 4616,6152, 4624,6208, + 4632,4896, 4640,6176, 4648,5408, 4656,6240, 4664,5920, 4672,6400, + 4680,6432, 4688,6464, 4696,6944, 4704,6432, 4712,7456, 4720,4808, + 4728,7968, 4736,6656, 4744,6664, 4752,6720, 4760,4960, 4768,6688, + 4776,5472, 4784,6752, 4792,5984, 4800,6912, 4808,6496, 4816,6976, + 4824,7008, 4832,6944, 4840,7520, 4848,7008, 4856,8032, 4864,6160, + 4872,6168, 4880,6224, 4888,5024, 4896,6216, 4904,5536, 4912,6344, + 4920,6048, 4928,6416, 4936,6560, 4944,6480, 4952,7072, 4960,6728, + 4968,7584, 4976,6856, 4984,8096, 4992,6672, 5000,6680, 5008,6736, + 5016,5088, 5024,6232, 5032,5600, 5040,6360, 5048,6112, 5056,6928, + 5064,6624, 5072,6992, 5080,7136, 5088,6744, 5096,7648, 5104,6872, + 5112,8160, 5128,5152, 5136,5376, 5144,5408, 5168,5384, 5176,5672, + 5184,5376, 5192,6184, 5200,5392, 5208,6696, 5216,5408, 5224,7208, + 5232,5400, 5240,7720, 5248,7168, 5256,7200, 5264,7424, 5272,7456, + 5280,7176, 5288,7208, 5296,7432, 5304,5736, 5312,7184, 5320,6248, + 5328,7440, 5336,6760, 5344,7192, 5352,7272, 5360,7448, 5368,7784, + 5384,5408, 5392,5440, 5400,5472, 5408,6184, 5416,7208, 5424,5448, + 5432,5800, 5448,6312, 5464,6824, 5472,6696, 5480,7336, 5488,6824, + 5496,7848, 5504,7232, 5512,7264, 5520,7488, 5528,7520, 5536,7240, + 5544,7272, 5552,7496, 5560,5864, 5568,7248, 5576,6376, 5584,7504, + 5592,6888, 5600,7256, 5608,7400, 5616,7512, 5624,7912, 5632,7168, + 5640,7176, 5648,7232, 5656,7240, 5664,7200, 5672,7208, 5680,7264, + 5688,5928, 5696,7424, 5704,6440, 5712,7488, 5720,6952, 5728,7456, + 5736,7464, 5744,7520, 5752,7976, 5760,7296, 5768,7328, 5776,7552, + 5784,7584, 5792,7304, 5800,7336, 5808,7560, 5816,5992, 5824,7312, + 5832,6504, 5840,7568, 5848,7016, 5856,7320, 5864,7528, 5872,7576, + 5880,8040, 5888,7184, 5896,7192, 5904,7248, 5912,7256, 5920,6248, + 5928,7272, 5936,6376, 5944,6056, 5952,7440, 5960,6568, 5968,7504, + 5976,7080, 5984,6760, 5992,7592, 6000,6888, 6008,8104, 6016,7360, + 6024,7392, 6032,7616, 6040,7648, 6048,7368, 6056,7400, 6064,7624, + 6072,6120, 6080,7376, 6088,6632, 6096,7632, 6104,7144, 6112,7384, + 6120,7656, 6128,7640, 6136,8168, 6168,6240, 6192,6216, 6200,7264, + 6232,6704, 6248,7216, 6256,6680, 6264,7728, 6272,6656, 6280,6664, + 6288,6912, 6296,6496, 6304,6688, 6312,6696, 6320,6944, 6328,7520, + 6336,6672, 6344,6680, 6352,6928, 6360,6768, 6368,6704, 6376,7280, + 6384,6744, 6392,7792, 6408,6432, 6424,6752, 6440,7432, 6448,6536, + 6456,7560, 6472,6944, 6488,6832, 6496,6920, 6504,7344, 6512,7048, + 6520,7856, 6528,6720, 6536,6728, 6544,6976, 6552,7008, 6560,6752, + 6568,7448, 6576,7008, 6584,7576, 6592,6736, 6600,6744, 6608,6992, + 6616,6896, 6624,6936, 6632,7408, 6640,7064, 6648,7920, 6712,7280, + 6744,6960, 6760,7472, 6768,6936, 6776,7984, 6800,6848, 6808,6856, + 6832,6880, 6840,6888, 6848,7040, 6856,7048, 6864,7104, 6872,7024, + 6880,7072, 6888,7536, 6896,7136, 6904,8048, 6952,7496, 6968,7624, + 6984,7008, 7000,7088, 7016,7600, 7024,7112, 7032,8112, 7056,7104, + 7064,7112, 7080,7512, 7088,7136, 7096,7640, 7128,7152, 7144,7664, + 7160,8176, 7176,7200, 7192,7216, 7224,7272, 7240,7264, 7256,7280, + 7288,7736, 7296,7680, 7304,7712, 7312,7936, 7320,7968, 7328,7688, + 7336,7720, 7344,7944, 7352,7976, 7360,7696, 7368,7728, 7376,7952, + 7384,7984, 7392,7704, 7400,7736, 7408,7960, 7416,7800, 7432,7456, + 7448,7472, 7480,7592, 7496,7520, 7512,7536, 7528,7976, 7544,7864, + 7552,7744, 7560,7776, 7568,8000, 7576,8032, 7584,7752, 7592,7784, + 7600,8008, 7608,8040, 7616,7760, 7624,7792, 7632,8016, 7640,8048, + 7648,7768, 7656,7800, 7664,8024, 7672,7928, 7688,7712, 7704,7728, + 7752,7776, 7768,7792, 7800,7992, 7816,7840, 7824,8064, 7832,8096, + 7856,8072, 7864,8104, 7872,8064, 7880,8072, 7888,8080, 7896,8112, + 7904,8096, 7912,8104, 7920,8088, 7928,8056, 7944,7968, 7960,7984, + 8008,8032, 8024,8048, 8056,8120, 8072,8096, 8080,8128, 8088,8160, + 8112,8136, 8120,8168, 8136,8160, 8152,8176 +}; + +const uint16_t armBitRevIndexTable2048[ARMBITREVINDEXTABLE_2048_TABLE_LENGTH] = +{ + /* 8x2, size 3808 */ + 8,4096, 16,8192, 24,12288, 32,512, 40,4608, 48,8704, 56,12800, 64,1024, + 72,5120, 80,9216, 88,13312, 96,1536, 104,5632, 112,9728, 120,13824, + 128,2048, 136,6144, 144,10240, 152,14336, 160,2560, 168,6656, 176,10752, + 184,14848, 192,3072, 200,7168, 208,11264, 216,15360, 224,3584, 232,7680, + 240,11776, 248,15872, 256,1024, 264,4160, 272,8256, 280,12352, 288,576, + 296,4672, 304,8768, 312,12864, 320,1088, 328,5184, 336,9280, 344,13376, + 352,1600, 360,5696, 368,9792, 376,13888, 384,2112, 392,6208, 400,10304, + 408,14400, 416,2624, 424,6720, 432,10816, 440,14912, 448,3136, 456,7232, + 464,11328, 472,15424, 480,3648, 488,7744, 496,11840, 504,15936, 512,2048, + 520,4224, 528,8320, 536,12416, 544,640, 552,4736, 560,8832, 568,12928, + 576,1152, 584,5248, 592,9344, 600,13440, 608,1664, 616,5760, 624,9856, + 632,13952, 640,2176, 648,6272, 656,10368, 664,14464, 672,2688, 680,6784, + 688,10880, 696,14976, 704,3200, 712,7296, 720,11392, 728,15488, 736,3712, + 744,7808, 752,11904, 760,16000, 768,3072, 776,4288, 784,8384, 792,12480, + 800,3200, 808,4800, 816,8896, 824,12992, 832,1216, 840,5312, 848,9408, + 856,13504, 864,1728, 872,5824, 880,9920, 888,14016, 896,2240, 904,6336, + 912,10432, 920,14528, 928,2752, 936,6848, 944,10944, 952,15040, 960,3264, + 968,7360, 976,11456, 984,15552, 992,3776, 1000,7872, 1008,11968, 1016,16064, + 1032,4352, 1040,8448, 1048,12544, 1056,3072, 1064,4864, 1072,8960, + 1080,13056, 1088,1280, 1096,5376, 1104,9472, 1112,13568, 1120,1792, + 1128,5888, 1136,9984, 1144,14080, 1152,2304, 1160,6400, 1168,10496, + 1176,14592, 1184,2816, 1192,6912, 1200,11008, 1208,15104, 1216,3328, + 1224,7424, 1232,11520, 1240,15616, 1248,3840, 1256,7936, 1264,12032, + 1272,16128, 1288,4416, 1296,8512, 1304,12608, 1312,3328, 1320,4928, + 1328,9024, 1336,13120, 1352,5440, 1360,9536, 1368,13632, 1376,1856, + 1384,5952, 1392,10048, 1400,14144, 1408,2368, 1416,6464, 1424,10560, + 1432,14656, 1440,2880, 1448,6976, 1456,11072, 1464,15168, 1472,3392, + 1480,7488, 1488,11584, 1496,15680, 1504,3904, 1512,8000, 1520,12096, + 1528,16192, 1536,2112, 1544,4480, 1552,8576, 1560,12672, 1568,2240, + 1576,4992, 1584,9088, 1592,13184, 1600,2368, 1608,5504, 1616,9600, + 1624,13696, 1632,1920, 1640,6016, 1648,10112, 1656,14208, 1664,2432, + 1672,6528, 1680,10624, 1688,14720, 1696,2944, 1704,7040, 1712,11136, + 1720,15232, 1728,3456, 1736,7552, 1744,11648, 1752,15744, 1760,3968, + 1768,8064, 1776,12160, 1784,16256, 1792,3136, 1800,4544, 1808,8640, + 1816,12736, 1824,3264, 1832,5056, 1840,9152, 1848,13248, 1856,3392, + 1864,5568, 1872,9664, 1880,13760, 1888,1984, 1896,6080, 1904,10176, + 1912,14272, 1920,2496, 1928,6592, 1936,10688, 1944,14784, 1952,3008, + 1960,7104, 1968,11200, 1976,15296, 1984,3520, 1992,7616, 2000,11712, + 2008,15808, 2016,4032, 2024,8128, 2032,12224, 2040,16320, 2048,4096, + 2056,4104, 2064,8200, 2072,12296, 2080,4224, 2088,4616, 2096,8712, + 2104,12808, 2112,4352, 2120,5128, 2128,9224, 2136,13320, 2144,4480, + 2152,5640, 2160,9736, 2168,13832, 2176,4104, 2184,6152, 2192,10248, + 2200,14344, 2208,2568, 2216,6664, 2224,10760, 2232,14856, 2240,3080, + 2248,7176, 2256,11272, 2264,15368, 2272,3592, 2280,7688, 2288,11784, + 2296,15880, 2304,5120, 2312,4168, 2320,8264, 2328,12360, 2336,5248, + 2344,4680, 2352,8776, 2360,12872, 2368,5376, 2376,5192, 2384,9288, + 2392,13384, 2400,5504, 2408,5704, 2416,9800, 2424,13896, 2432,5128, + 2440,6216, 2448,10312, 2456,14408, 2464,2632, 2472,6728, 2480,10824, + 2488,14920, 2496,3144, 2504,7240, 2512,11336, 2520,15432, 2528,3656, + 2536,7752, 2544,11848, 2552,15944, 2560,6144, 2568,4232, 2576,8328, + 2584,12424, 2592,6272, 2600,4744, 2608,8840, 2616,12936, 2624,6400, + 2632,5256, 2640,9352, 2648,13448, 2656,6528, 2664,5768, 2672,9864, + 2680,13960, 2688,6152, 2696,6280, 2704,10376, 2712,14472, 2720,6280, + 2728,6792, 2736,10888, 2744,14984, 2752,3208, 2760,7304, 2768,11400, + 2776,15496, 2784,3720, 2792,7816, 2800,11912, 2808,16008, 2816,7168, + 2824,4296, 2832,8392, 2840,12488, 2848,7296, 2856,4808, 2864,8904, + 2872,13000, 2880,7424, 2888,5320, 2896,9416, 2904,13512, 2912,7552, + 2920,5832, 2928,9928, 2936,14024, 2944,7176, 2952,6344, 2960,10440, + 2968,14536, 2976,7304, 2984,6856, 2992,10952, 3000,15048, 3008,3272, + 3016,7368, 3024,11464, 3032,15560, 3040,3784, 3048,7880, 3056,11976, + 3064,16072, 3072,4160, 3080,4360, 3088,8456, 3096,12552, 3104,4288, + 3112,4872, 3120,8968, 3128,13064, 3136,4416, 3144,5384, 3152,9480, + 3160,13576, 3168,4544, 3176,5896, 3184,9992, 3192,14088, 3200,4168, + 3208,6408, 3216,10504, 3224,14600, 3232,4296, 3240,6920, 3248,11016, + 3256,15112, 3264,3336, 3272,7432, 3280,11528, 3288,15624, 3296,3848, + 3304,7944, 3312,12040, 3320,16136, 3328,5184, 3336,4424, 3344,8520, + 3352,12616, 3360,5312, 3368,4936, 3376,9032, 3384,13128, 3392,5440, + 3400,5448, 3408,9544, 3416,13640, 3424,5568, 3432,5960, 3440,10056, + 3448,14152, 3456,5192, 3464,6472, 3472,10568, 3480,14664, 3488,5320, + 3496,6984, 3504,11080, 3512,15176, 3520,5448, 3528,7496, 3536,11592, + 3544,15688, 3552,3912, 3560,8008, 3568,12104, 3576,16200, 3584,6208, + 3592,4488, 3600,8584, 3608,12680, 3616,6336, 3624,5000, 3632,9096, + 3640,13192, 3648,6464, 3656,5512, 3664,9608, 3672,13704, 3680,6592, + 3688,6024, 3696,10120, 3704,14216, 3712,6216, 3720,6536, 3728,10632, + 3736,14728, 3744,6344, 3752,7048, 3760,11144, 3768,15240, 3776,6472, + 3784,7560, 3792,11656, 3800,15752, 3808,3976, 3816,8072, 3824,12168, + 3832,16264, 3840,7232, 3848,4552, 3856,8648, 3864,12744, 3872,7360, + 3880,5064, 3888,9160, 3896,13256, 3904,7488, 3912,5576, 3920,9672, + 3928,13768, 3936,7616, 3944,6088, 3952,10184, 3960,14280, 3968,7240, + 3976,6600, 3984,10696, 3992,14792, 4000,7368, 4008,7112, 4016,11208, + 4024,15304, 4032,7496, 4040,7624, 4048,11720, 4056,15816, 4064,7624, + 4072,8136, 4080,12232, 4088,16328, 4096,8192, 4104,4112, 4112,8208, + 4120,12304, 4128,8320, 4136,4624, 4144,8720, 4152,12816, 4160,8448, + 4168,5136, 4176,9232, 4184,13328, 4192,8576, 4200,5648, 4208,9744, + 4216,13840, 4224,8200, 4232,6160, 4240,10256, 4248,14352, 4256,8328, + 4264,6672, 4272,10768, 4280,14864, 4288,8456, 4296,7184, 4304,11280, + 4312,15376, 4320,8584, 4328,7696, 4336,11792, 4344,15888, 4352,9216, + 4360,9232, 4368,8272, 4376,12368, 4384,9344, 4392,4688, 4400,8784, + 4408,12880, 4416,9472, 4424,5200, 4432,9296, 4440,13392, 4448,9600, + 4456,5712, 4464,9808, 4472,13904, 4480,9224, 4488,6224, 4496,10320, + 4504,14416, 4512,9352, 4520,6736, 4528,10832, 4536,14928, 4544,9480, + 4552,7248, 4560,11344, 4568,15440, 4576,9608, 4584,7760, 4592,11856, + 4600,15952, 4608,10240, 4616,10256, 4624,8336, 4632,12432, 4640,10368, + 4648,4752, 4656,8848, 4664,12944, 4672,10496, 4680,5264, 4688,9360, + 4696,13456, 4704,10624, 4712,5776, 4720,9872, 4728,13968, 4736,10248, + 4744,6288, 4752,10384, 4760,14480, 4768,10376, 4776,6800, 4784,10896, + 4792,14992, 4800,10504, 4808,7312, 4816,11408, 4824,15504, 4832,10632, + 4840,7824, 4848,11920, 4856,16016, 4864,11264, 4872,11280, 4880,8400, + 4888,12496, 4896,11392, 4904,11408, 4912,8912, 4920,13008, 4928,11520, + 4936,5328, 4944,9424, 4952,13520, 4960,11648, 4968,5840, 4976,9936, + 4984,14032, 4992,11272, 5000,6352, 5008,10448, 5016,14544, 5024,11400, + 5032,6864, 5040,10960, 5048,15056, 5056,11528, 5064,7376, 5072,11472, + 5080,15568, 5088,11656, 5096,7888, 5104,11984, 5112,16080, 5120,8256, + 5128,8272, 5136,8464, 5144,12560, 5152,8384, 5160,8400, 5168,8976, + 5176,13072, 5184,8512, 5192,5392, 5200,9488, 5208,13584, 5216,8640, + 5224,5904, 5232,10000, 5240,14096, 5248,8264, 5256,6416, 5264,10512, + 5272,14608, 5280,8392, 5288,6928, 5296,11024, 5304,15120, 5312,8520, + 5320,7440, 5328,11536, 5336,15632, 5344,8648, 5352,7952, 5360,12048, + 5368,16144, 5376,9280, 5384,9296, 5392,8528, 5400,12624, 5408,9408, + 5416,9424, 5424,9040, 5432,13136, 5440,9536, 5448,5456, 5456,9552, + 5464,13648, 5472,9664, 5480,5968, 5488,10064, 5496,14160, 5504,9288, + 5512,6480, 5520,10576, 5528,14672, 5536,9416, 5544,6992, 5552,11088, + 5560,15184, 5568,9544, 5576,7504, 5584,11600, 5592,15696, 5600,9672, + 5608,8016, 5616,12112, 5624,16208, 5632,10304, 5640,10320, 5648,8592, + 5656,12688, 5664,10432, 5672,10448, 5680,9104, 5688,13200, 5696,10560, + 5704,10576, 5712,9616, 5720,13712, 5728,10688, 5736,6032, 5744,10128, + 5752,14224, 5760,10312, 5768,6544, 5776,10640, 5784,14736, 5792,10440, + 5800,7056, 5808,11152, 5816,15248, 5824,10568, 5832,7568, 5840,11664, + 5848,15760, 5856,10696, 5864,8080, 5872,12176, 5880,16272, 5888,11328, + 5896,11344, 5904,8656, 5912,12752, 5920,11456, 5928,11472, 5936,9168, + 5944,13264, 5952,11584, 5960,11600, 5968,9680, 5976,13776, 5984,11712, + 5992,6096, 6000,10192, 6008,14288, 6016,11336, 6024,6608, 6032,10704, + 6040,14800, 6048,11464, 6056,7120, 6064,11216, 6072,15312, 6080,11592, + 6088,7632, 6096,11728, 6104,15824, 6112,11720, 6120,8144, 6128,12240, + 6136,16336, 6144,12288, 6152,12304, 6160,8216, 6168,12312, 6176,12416, + 6184,12432, 6192,8728, 6200,12824, 6208,12544, 6216,12560, 6224,9240, + 6232,13336, 6240,12672, 6248,12688, 6256,9752, 6264,13848, 6272,12296, + 6280,12312, 6288,10264, 6296,14360, 6304,12424, 6312,6680, 6320,10776, + 6328,14872, 6336,12552, 6344,7192, 6352,11288, 6360,15384, 6368,12680, + 6376,7704, 6384,11800, 6392,15896, 6400,13312, 6408,13328, 6416,8280, + 6424,12376, 6432,13440, 6440,13456, 6448,8792, 6456,12888, 6464,13568, + 6472,13584, 6480,9304, 6488,13400, 6496,13696, 6504,13712, 6512,9816, + 6520,13912, 6528,13320, 6536,13336, 6544,10328, 6552,14424, 6560,13448, + 6568,6744, 6576,10840, 6584,14936, 6592,13576, 6600,7256, 6608,11352, + 6616,15448, 6624,13704, 6632,7768, 6640,11864, 6648,15960, 6656,14336, + 6664,14352, 6672,8344, 6680,12440, 6688,14464, 6696,14480, 6704,8856, + 6712,12952, 6720,14592, 6728,14608, 6736,9368, 6744,13464, 6752,14720, + 6760,14736, 6768,9880, 6776,13976, 6784,14344, 6792,14360, 6800,10392, + 6808,14488, 6816,14472, 6824,14488, 6832,10904, 6840,15000, 6848,14600, + 6856,7320, 6864,11416, 6872,15512, 6880,14728, 6888,7832, 6896,11928, + 6904,16024, 6912,15360, 6920,15376, 6928,8408, 6936,12504, 6944,15488, + 6952,15504, 6960,8920, 6968,13016, 6976,15616, 6984,15632, 6992,9432, + 7000,13528, 7008,15744, 7016,15760, 7024,9944, 7032,14040, 7040,15368, + 7048,15384, 7056,10456, 7064,14552, 7072,15496, 7080,15512, 7088,10968, + 7096,15064, 7104,15624, 7112,7384, 7120,11480, 7128,15576, 7136,15752, + 7144,7896, 7152,11992, 7160,16088, 7168,12352, 7176,12368, 7184,8472, + 7192,12568, 7200,12480, 7208,12496, 7216,8984, 7224,13080, 7232,12608, + 7240,12624, 7248,9496, 7256,13592, 7264,12736, 7272,12752, 7280,10008, + 7288,14104, 7296,12360, 7304,12376, 7312,10520, 7320,14616, 7328,12488, + 7336,12504, 7344,11032, 7352,15128, 7360,12616, 7368,7448, 7376,11544, + 7384,15640, 7392,12744, 7400,7960, 7408,12056, 7416,16152, 7424,13376, + 7432,13392, 7440,8536, 7448,12632, 7456,13504, 7464,13520, 7472,9048, + 7480,13144, 7488,13632, 7496,13648, 7504,9560, 7512,13656, 7520,13760, + 7528,13776, 7536,10072, 7544,14168, 7552,13384, 7560,13400, 7568,10584, + 7576,14680, 7584,13512, 7592,13528, 7600,11096, 7608,15192, 7616,13640, + 7624,13656, 7632,11608, 7640,15704, 7648,13768, 7656,8024, 7664,12120, + 7672,16216, 7680,14400, 7688,14416, 7696,8600, 7704,12696, 7712,14528, + 7720,14544, 7728,9112, 7736,13208, 7744,14656, 7752,14672, 7760,9624, + 7768,13720, 7776,14784, 7784,14800, 7792,10136, 7800,14232, 7808,14408, + 7816,14424, 7824,10648, 7832,14744, 7840,14536, 7848,14552, 7856,11160, + 7864,15256, 7872,14664, 7880,14680, 7888,11672, 7896,15768, 7904,14792, + 7912,8088, 7920,12184, 7928,16280, 7936,15424, 7944,15440, 7952,8664, + 7960,12760, 7968,15552, 7976,15568, 7984,9176, 7992,13272, 8000,15680, + 8008,15696, 8016,9688, 8024,13784, 8032,15808, 8040,15824, 8048,10200, + 8056,14296, 8064,15432, 8072,15448, 8080,10712, 8088,14808, 8096,15560, + 8104,15576, 8112,11224, 8120,15320, 8128,15688, 8136,15704, 8144,11736, + 8152,15832, 8160,15816, 8168,15832, 8176,12248, 8184,16344, 8200,8320, + 8208,8224, 8216,12320, 8232,10368, 8240,8736, 8248,12832, 8256,8448, + 8264,8384, 8272,9248, 8280,13344, 8288,9232, 8296,10432, 8304,9760, + 8312,13856, 8328,12416, 8336,10272, 8344,14368, 8352,12296, 8360,14464, + 8368,10784, 8376,14880, 8384,8456, 8392,12480, 8400,11296, 8408,15392, + 8416,12552, 8424,14528, 8432,11808, 8440,15904, 8448,9216, 8456,8576, + 8464,9232, 8472,12384, 8480,9248, 8488,10624, 8496,8800, 8504,12896, + 8512,9472, 8520,8640, 8528,9312, 8536,13408, 8544,9296, 8552,10688, + 8560,9824, 8568,13920, 8576,9224, 8584,12672, 8592,10336, 8600,14432, + 8608,13320, 8616,14720, 8624,10848, 8632,14944, 8640,9480, 8648,12736, + 8656,11360, 8664,15456, 8672,13576, 8680,14784, 8688,11872, 8696,15968, + 8704,12288, 8712,12416, 8720,12296, 8728,12448, 8736,12304, 8744,10376, + 8752,8864, 8760,12960, 8768,12352, 8776,12480, 8784,9376, 8792,13472, + 8800,12368, 8808,10440, 8816,9888, 8824,13984, 8832,12320, 8840,12424, + 8848,10400, 8856,14496, 8864,12312, 8872,14472, 8880,10912, 8888,15008, + 8896,12384, 8904,12488, 8912,11424, 8920,15520, 8928,12568, 8936,14536, + 8944,11936, 8952,16032, 8960,12544, 8968,12672, 8976,12552, 8984,12512, + 8992,12560, 9000,10632, 9008,12568, 9016,13024, 9024,12608, 9032,12736, + 9040,9440, 9048,13536, 9056,12624, 9064,10696, 9072,9952, 9080,14048, + 9088,9240, 9096,12680, 9104,10464, 9112,14560, 9120,13336, 9128,14728, + 9136,10976, 9144,15072, 9152,9496, 9160,12744, 9168,11488, 9176,15584, + 9184,13592, 9192,14792, 9200,12000, 9208,16096, 9224,9344, 9232,9248, + 9240,12576, 9256,11392, 9264,12560, 9272,13088, 9280,9472, 9288,9408, + 9296,9504, 9304,13600, 9312,9488, 9320,11456, 9328,10016, 9336,14112, + 9352,13440, 9360,10528, 9368,14624, 9376,12360, 9384,15488, 9392,11040, + 9400,15136, 9408,9480, 9416,13504, 9424,11552, 9432,15648, 9440,12616, + 9448,15552, 9456,12064, 9464,16160, 9480,9600, 9488,9504, 9496,12640, + 9512,11648, 9520,12624, 9528,13152, 9544,9664, 9552,9568, 9560,13664, + 9576,11712, 9584,10080, 9592,14176, 9608,13696, 9616,10592, 9624,14688, + 9632,13384, 9640,15744, 9648,11104, 9656,15200, 9672,13760, 9680,11616, + 9688,15712, 9696,13640, 9704,15808, 9712,12128, 9720,16224, 9728,13312, + 9736,13440, 9744,13320, 9752,12704, 9760,13328, 9768,11400, 9776,13336, + 9784,13216, 9792,13376, 9800,13504, 9808,13384, 9816,13728, 9824,13392, + 9832,11464, 9840,10144, 9848,14240, 9856,13344, 9864,13448, 9872,10656, + 9880,14752, 9888,12376, 9896,15496, 9904,11168, 9912,15264, 9920,13408, + 9928,13512, 9936,11680, 9944,15776, 9952,12632, 9960,15560, 9968,12192, + 9976,16288, 9984,13568, 9992,13696, 10000,13576, 10008,12768, 10016,13584, + 10024,11656, 10032,13592, 10040,13280, 10048,13632, 10056,13760, + 10064,13640, 10072,13792, 10080,13648, 10088,11720, 10096,10208, + 10104,14304, 10112,13600, 10120,13704, 10128,10720, 10136,14816, + 10144,13400, 10152,15752, 10160,11232, 10168,15328, 10176,13664, + 10184,13768, 10192,11744, 10200,15840, 10208,13656, 10216,15816, + 10224,12256, 10232,16352, 10248,10272, 10256,10368, 10264,12328, + 10280,10384, 10288,10376, 10296,12840, 10304,11264, 10312,11296, + 10320,11392, 10328,13352, 10336,11272, 10344,10448, 10352,11400, + 10360,13864, 10376,12432, 10392,14376, 10400,12328, 10408,14480, + 10416,10792, 10424,14888, 10432,11280, 10440,12496, 10448,11304, + 10456,15400, 10464,11288, 10472,14544, 10480,11816, 10488,15912, + 10496,11264, 10504,11272, 10512,11280, 10520,12392, 10528,11296, + 10536,10640, 10544,12496, 10552,12904, 10560,11328, 10568,11360, + 10576,11456, 10584,13416, 10592,11336, 10600,10704, 10608,11464, + 10616,13928, 10624,11392, 10632,12688, 10640,11304, 10648,14440, + 10656,13352, 10664,14736, 10672,10856, 10680,14952, 10688,11344, + 10696,12752, 10704,11368, 10712,15464, 10720,11352, 10728,14800, + 10736,11880, 10744,15976, 10752,14336, 10760,14368, 10768,14464, + 10776,12456, 10784,14344, 10792,14376, 10800,14472, 10808,12968, + 10816,15360, 10824,15392, 10832,15488, 10840,13480, 10848,15368, + 10856,15400, 10864,15496, 10872,13992, 10880,14352, 10888,12440, + 10896,14480, 10904,14504, 10912,14360, 10920,14488, 10928,14488, + 10936,15016, 10944,15376, 10952,12504, 10960,11432, 10968,15528, + 10976,15384, 10984,14552, 10992,11944, 11000,16040, 11008,14400, + 11016,14432, 11024,14528, 11032,12520, 11040,14408, 11048,14440, + 11056,14536, 11064,13032, 11072,15424, 11080,15456, 11088,15552, + 11096,13544, 11104,15432, 11112,15464, 11120,15560, 11128,14056, + 11136,14416, 11144,12696, 11152,14544, 11160,14568, 11168,14424, + 11176,14744, 11184,14552, 11192,15080, 11200,15440, 11208,12760, + 11216,11496, 11224,15592, 11232,15448, 11240,14808, 11248,12008, + 11256,16104, 11272,11296, 11280,11392, 11288,12584, 11304,11408, + 11312,12688, 11320,13096, 11328,11520, 11336,11552, 11344,11648, + 11352,13608, 11360,11528, 11368,11472, 11376,11656, 11384,14120, + 11400,13456, 11416,14632, 11424,12392, 11432,15504, 11440,14440, + 11448,15144, 11456,11536, 11464,13520, 11472,11560, 11480,15656, + 11488,11544, 11496,15568, 11504,12072, 11512,16168, 11528,11552, + 11536,11648, 11544,12648, 11560,11664, 11568,12752, 11576,13160, + 11592,11616, 11600,11712, 11608,13672, 11624,11728, 11632,11720, + 11640,14184, 11656,13712, 11672,14696, 11680,13416, 11688,15760, + 11696,15464, 11704,15208, 11720,13776, 11736,15720, 11744,13672, + 11752,15824, 11760,12136, 11768,16232, 11776,14592, 11784,14624, + 11792,14720, 11800,12712, 11808,14600, 11816,14632, 11824,14728, + 11832,13224, 11840,15616, 11848,15648, 11856,15744, 11864,13736, + 11872,15624, 11880,15656, 11888,15752, 11896,14248, 11904,14608, + 11912,13464, 11920,14736, 11928,14760, 11936,14616, 11944,15512, + 11952,14744, 11960,15272, 11968,15632, 11976,13528, 11984,15760, + 11992,15784, 12000,15640, 12008,15576, 12016,12200, 12024,16296, + 12032,14656, 12040,14688, 12048,14784, 12056,12776, 12064,14664, + 12072,14696, 12080,14792, 12088,13288, 12096,15680, 12104,15712, + 12112,15808, 12120,13800, 12128,15688, 12136,15720, 12144,15816, + 12152,14312, 12160,14672, 12168,13720, 12176,14800, 12184,14824, + 12192,14680, 12200,15768, 12208,14808, 12216,15336, 12224,15696, + 12232,13784, 12240,15824, 12248,15848, 12256,15704, 12264,15832, + 12272,15832, 12280,16360, 12312,12336, 12344,12848, 12352,12544, + 12360,12552, 12368,12560, 12376,13360, 12384,12576, 12392,12584, + 12400,13336, 12408,13872, 12424,12448, 12440,14384, 12456,14496, + 12464,14472, 12472,14896, 12480,12672, 12488,12512, 12496,12688, + 12504,15408, 12512,12680, 12520,14560, 12528,14728, 12536,15920, + 12544,13312, 12552,13320, 12560,13328, 12568,13336, 12576,13344, + 12584,13352, 12592,13360, 12600,12912, 12608,13568, 12616,13576, + 12624,13584, 12632,13424, 12640,13600, 12648,13608, 12656,13400, + 12664,13936, 12672,13440, 12680,12704, 12688,13456, 12696,14448, + 12704,13448, 12712,14752, 12720,15496, 12728,14960, 12736,13696, + 12744,12768, 12752,13712, 12760,15472, 12768,13704, 12776,14816, + 12784,15752, 12792,15984, 12800,14336, 12808,14464, 12816,14344, + 12824,14472, 12832,14352, 12840,14480, 12848,14360, 12856,12976, + 12864,14400, 12872,14528, 12880,14408, 12888,13488, 12896,14416, + 12904,14544, 12912,14424, 12920,14000, 12928,14368, 12936,14496, + 12944,14376, 12952,14512, 12960,14384, 12968,14504, 12976,14488, + 12984,15024, 12992,14432, 13000,14560, 13008,14440, 13016,15536, + 13024,14448, 13032,14568, 13040,14744, 13048,16048, 13056,14592, + 13064,14720, 13072,14600, 13080,14728, 13088,14608, 13096,14736, + 13104,14616, 13112,14744, 13120,14656, 13128,14784, 13136,14664, + 13144,13552, 13152,14672, 13160,14800, 13168,14680, 13176,14064, + 13184,14624, 13192,14752, 13200,14632, 13208,14576, 13216,13464, + 13224,14760, 13232,15512, 13240,15088, 13248,14688, 13256,14816, + 13264,14696, 13272,15600, 13280,13720, 13288,14824, 13296,15768, + 13304,16112, 13336,13360, 13368,14616, 13376,13568, 13384,13576, + 13392,13584, 13400,13616, 13408,13600, 13416,13608, 13424,13592, + 13432,14128, 13448,13472, 13464,14640, 13480,15520, 13488,14536, + 13496,15152, 13504,13696, 13512,13536, 13520,13712, 13528,15664, + 13536,13704, 13544,15584, 13552,14792, 13560,16176, 13592,13616, + 13624,14680, 13656,13680, 13688,14192, 13704,13728, 13720,14704, + 13736,15776, 13744,15560, 13752,15216, 13768,13792, 13784,15728, + 13800,15840, 13808,15816, 13816,16240, 13824,15360, 13832,15488, + 13840,15368, 13848,15496, 13856,15376, 13864,15504, 13872,15384, + 13880,15512, 13888,15424, 13896,15552, 13904,15432, 13912,15560, + 13920,15440, 13928,15568, 13936,15448, 13944,14256, 13952,15392, + 13960,15520, 13968,15400, 13976,14768, 13984,15408, 13992,15528, + 14000,14552, 14008,15280, 14016,15456, 14024,15584, 14032,15464, + 14040,15792, 14048,15472, 14056,15592, 14064,14808, 14072,16304, + 14080,15616, 14088,15744, 14096,15624, 14104,15752, 14112,15632, + 14120,15760, 14128,15640, 14136,15768, 14144,15680, 14152,15808, + 14160,15688, 14168,15816, 14176,15696, 14184,15824, 14192,15704, + 14200,14320, 14208,15648, 14216,15776, 14224,15656, 14232,14832, + 14240,15664, 14248,15784, 14256,15576, 14264,15344, 14272,15712, + 14280,15840, 14288,15720, 14296,15856, 14304,15728, 14312,15848, + 14320,15832, 14328,16368, 14392,14488, 14400,14592, 14408,14600, + 14416,14608, 14424,14616, 14432,14624, 14440,14632, 14448,14640, + 14456,15512, 14504,14512, 14520,14904, 14528,14720, 14536,14728, + 14544,14736, 14552,15416, 14560,14752, 14568,14576, 14584,15928, + 14576,14760, 14592,15360, 14600,15368, 14608,15376, 14616,15384, + 14624,15392, 14632,15400, 14640,15408, 14648,15416, 14656,15616, + 14664,15624, 14672,15632, 14680,15640, 14688,15648, 14696,15656, + 14704,15664, 14712,15576, 14720,15488, 14728,15496, 14736,15504, + 14744,15512, 14752,15520, 14760,14768, 14776,14968, 14768,15528, + 14784,15744, 14792,15752, 14800,15760, 14808,15480, 14816,15776, + 14824,14832, 14840,15992, 14832,15784, 14856,14864, 14864,14880, + 14872,14896, 14880,14976, 14888,14992, 14896,15008, 14904,15024, + 14912,15104, 14920,15120, 14928,15136, 14936,15152, 14944,15232, + 14952,15248, 14960,15264, 14968,15280, 14984,15008, 15000,15024, + 15016,15024, 15040,15112, 15048,15128, 15056,15144, 15064,15544, + 15072,15240, 15080,15256, 15088,15272, 15096,16056, 15104,15872, + 15112,15888, 15120,15904, 15128,15920, 15136,16000, 15144,16016, + 15152,16032, 15160,16048, 15168,16128, 15176,16144, 15184,16160, + 15192,16176, 15200,16256, 15208,16272, 15216,16288, 15224,16304, + 15232,15880, 15240,15896, 15248,15912, 15256,15928, 15264,16008, + 15272,16024, 15280,16040, 15288,16056, 15296,16136, 15304,16152, + 15312,16168, 15320,15608, 15328,16264, 15336,16280, 15344,16296, + 15352,16120, 15416,15512, 15424,15616, 15432,15624, 15440,15632, + 15448,15640, 15456,15648, 15464,15656, 15472,15664, 15480,15768, + 15528,15536, 15544,16048, 15552,15744, 15560,15752, 15568,15760, + 15576,15672, 15584,15776, 15592,15600, 15600,15784, 15608,16184, + 15672,15768, 15736,15832, 15784,15792, 15800,16304, 15848,15856, + 15880,16000, 15864,16248, 15888,16000, 15896,16008, 15904,16000, + 15912,16016, 15920,16008, 15928,16024, 15936,16128, 15944,16160, + 15952,16256, 15960,16288, 15968,16136, 15976,16168, 15984,16264, + 15992,16296, 16008,16032, 16024,16040, 16064,16144, 16040,16048, + 16072,16176, 16080,16272, 16088,16304, 16096,16152, 16104,16184, + 16112,16280, 16136,16256, 16120,16312, 16144,16256, 16152,16264, + 16160,16256, 16168,16272, 16176,16264, 16184,16280, 16200,16208, + 16208,16224, 16216,16240, 16224,16320, 16232,16336, 16240,16352, + 16248,16368, 16264,16288, 16280,16296, 16296,16304, 16344,16368, + 16328,16352, 16360,16368 +}; + +const uint16_t armBitRevIndexTable4096[ARMBITREVINDEXTABLE_4096_TABLE_LENGTH] = +{ + /* radix 8, size 4032 */ + 8,4096, 16,8192, 24,12288, 32,16384, 40,20480, 48,24576, 56,28672, 64,512, + 72,4608, 80,8704, 88,12800, 96,16896, 104,20992, 112,25088, 120,29184, + 128,1024, 136,5120, 144,9216, 152,13312, 160,17408, 168,21504, 176,25600, + 184,29696, 192,1536, 200,5632, 208,9728, 216,13824, 224,17920, 232,22016, + 240,26112, 248,30208, 256,2048, 264,6144, 272,10240, 280,14336, 288,18432, + 296,22528, 304,26624, 312,30720, 320,2560, 328,6656, 336,10752, 344,14848, + 352,18944, 360,23040, 368,27136, 376,31232, 384,3072, 392,7168, 400,11264, + 408,15360, 416,19456, 424,23552, 432,27648, 440,31744, 448,3584, 456,7680, + 464,11776, 472,15872, 480,19968, 488,24064, 496,28160, 504,32256, 520,4160, + 528,8256, 536,12352, 544,16448, 552,20544, 560,24640, 568,28736, 584,4672, + 592,8768, 600,12864, 608,16960, 616,21056, 624,25152, 632,29248, 640,1088, + 648,5184, 656,9280, 664,13376, 672,17472, 680,21568, 688,25664, 696,29760, + 704,1600, 712,5696, 720,9792, 728,13888, 736,17984, 744,22080, 752,26176, + 760,30272, 768,2112, 776,6208, 784,10304, 792,14400, 800,18496, 808,22592, + 816,26688, 824,30784, 832,2624, 840,6720, 848,10816, 856,14912, 864,19008, + 872,23104, 880,27200, 888,31296, 896,3136, 904,7232, 912,11328, 920,15424, + 928,19520, 936,23616, 944,27712, 952,31808, 960,3648, 968,7744, 976,11840, + 984,15936, 992,20032, 1000,24128, 1008,28224, 1016,32320, 1032,4224, + 1040,8320, 1048,12416, 1056,16512, 1064,20608, 1072,24704, 1080,28800, + 1096,4736, 1104,8832, 1112,12928, 1120,17024, 1128,21120, 1136,25216, + 1144,29312, 1160,5248, 1168,9344, 1176,13440, 1184,17536, 1192,21632, + 1200,25728, 1208,29824, 1216,1664, 1224,5760, 1232,9856, 1240,13952, + 1248,18048, 1256,22144, 1264,26240, 1272,30336, 1280,2176, 1288,6272, + 1296,10368, 1304,14464, 1312,18560, 1320,22656, 1328,26752, 1336,30848, + 1344,2688, 1352,6784, 1360,10880, 1368,14976, 1376,19072, 1384,23168, + 1392,27264, 1400,31360, 1408,3200, 1416,7296, 1424,11392, 1432,15488, + 1440,19584, 1448,23680, 1456,27776, 1464,31872, 1472,3712, 1480,7808, + 1488,11904, 1496,16000, 1504,20096, 1512,24192, 1520,28288, 1528,32384, + 1544,4288, 1552,8384, 1560,12480, 1568,16576, 1576,20672, 1584,24768, + 1592,28864, 1608,4800, 1616,8896, 1624,12992, 1632,17088, 1640,21184, + 1648,25280, 1656,29376, 1672,5312, 1680,9408, 1688,13504, 1696,17600, + 1704,21696, 1712,25792, 1720,29888, 1736,5824, 1744,9920, 1752,14016, + 1760,18112, 1768,22208, 1776,26304, 1784,30400, 1792,2240, 1800,6336, + 1808,10432, 1816,14528, 1824,18624, 1832,22720, 1840,26816, 1848,30912, + 1856,2752, 1864,6848, 1872,10944, 1880,15040, 1888,19136, 1896,23232, + 1904,27328, 1912,31424, 1920,3264, 1928,7360, 1936,11456, 1944,15552, + 1952,19648, 1960,23744, 1968,27840, 1976,31936, 1984,3776, 1992,7872, + 2000,11968, 2008,16064, 2016,20160, 2024,24256, 2032,28352, 2040,32448, + 2056,4352, 2064,8448, 2072,12544, 2080,16640, 2088,20736, 2096,24832, + 2104,28928, 2120,4864, 2128,8960, 2136,13056, 2144,17152, 2152,21248, + 2160,25344, 2168,29440, 2184,5376, 2192,9472, 2200,13568, 2208,17664, + 2216,21760, 2224,25856, 2232,29952, 2248,5888, 2256,9984, 2264,14080, + 2272,18176, 2280,22272, 2288,26368, 2296,30464, 2312,6400, 2320,10496, + 2328,14592, 2336,18688, 2344,22784, 2352,26880, 2360,30976, 2368,2816, + 2376,6912, 2384,11008, 2392,15104, 2400,19200, 2408,23296, 2416,27392, + 2424,31488, 2432,3328, 2440,7424, 2448,11520, 2456,15616, 2464,19712, + 2472,23808, 2480,27904, 2488,32000, 2496,3840, 2504,7936, 2512,12032, + 2520,16128, 2528,20224, 2536,24320, 2544,28416, 2552,32512, 2568,4416, + 2576,8512, 2584,12608, 2592,16704, 2600,20800, 2608,24896, 2616,28992, + 2632,4928, 2640,9024, 2648,13120, 2656,17216, 2664,21312, 2672,25408, + 2680,29504, 2696,5440, 2704,9536, 2712,13632, 2720,17728, 2728,21824, + 2736,25920, 2744,30016, 2760,5952, 2768,10048, 2776,14144, 2784,18240, + 2792,22336, 2800,26432, 2808,30528, 2824,6464, 2832,10560, 2840,14656, + 2848,18752, 2856,22848, 2864,26944, 2872,31040, 2888,6976, 2896,11072, + 2904,15168, 2912,19264, 2920,23360, 2928,27456, 2936,31552, 2944,3392, + 2952,7488, 2960,11584, 2968,15680, 2976,19776, 2984,23872, 2992,27968, + 3000,32064, 3008,3904, 3016,8000, 3024,12096, 3032,16192, 3040,20288, + 3048,24384, 3056,28480, 3064,32576, 3080,4480, 3088,8576, 3096,12672, + 3104,16768, 3112,20864, 3120,24960, 3128,29056, 3144,4992, 3152,9088, + 3160,13184, 3168,17280, 3176,21376, 3184,25472, 3192,29568, 3208,5504, + 3216,9600, 3224,13696, 3232,17792, 3240,21888, 3248,25984, 3256,30080, + 3272,6016, 3280,10112, 3288,14208, 3296,18304, 3304,22400, 3312,26496, + 3320,30592, 3336,6528, 3344,10624, 3352,14720, 3360,18816, 3368,22912, + 3376,27008, 3384,31104, 3400,7040, 3408,11136, 3416,15232, 3424,19328, + 3432,23424, 3440,27520, 3448,31616, 3464,7552, 3472,11648, 3480,15744, + 3488,19840, 3496,23936, 3504,28032, 3512,32128, 3520,3968, 3528,8064, + 3536,12160, 3544,16256, 3552,20352, 3560,24448, 3568,28544, 3576,32640, + 3592,4544, 3600,8640, 3608,12736, 3616,16832, 3624,20928, 3632,25024, + 3640,29120, 3656,5056, 3664,9152, 3672,13248, 3680,17344, 3688,21440, + 3696,25536, 3704,29632, 3720,5568, 3728,9664, 3736,13760, 3744,17856, + 3752,21952, 3760,26048, 3768,30144, 3784,6080, 3792,10176, 3800,14272, + 3808,18368, 3816,22464, 3824,26560, 3832,30656, 3848,6592, 3856,10688, + 3864,14784, 3872,18880, 3880,22976, 3888,27072, 3896,31168, 3912,7104, + 3920,11200, 3928,15296, 3936,19392, 3944,23488, 3952,27584, 3960,31680, + 3976,7616, 3984,11712, 3992,15808, 4000,19904, 4008,24000, 4016,28096, + 4024,32192, 4040,8128, 4048,12224, 4056,16320, 4064,20416, 4072,24512, + 4080,28608, 4088,32704, 4112,8200, 4120,12296, 4128,16392, 4136,20488, + 4144,24584, 4152,28680, 4168,4616, 4176,8712, 4184,12808, 4192,16904, + 4200,21000, 4208,25096, 4216,29192, 4232,5128, 4240,9224, 4248,13320, + 4256,17416, 4264,21512, 4272,25608, 4280,29704, 4296,5640, 4304,9736, + 4312,13832, 4320,17928, 4328,22024, 4336,26120, 4344,30216, 4360,6152, + 4368,10248, 4376,14344, 4384,18440, 4392,22536, 4400,26632, 4408,30728, + 4424,6664, 4432,10760, 4440,14856, 4448,18952, 4456,23048, 4464,27144, + 4472,31240, 4488,7176, 4496,11272, 4504,15368, 4512,19464, 4520,23560, + 4528,27656, 4536,31752, 4552,7688, 4560,11784, 4568,15880, 4576,19976, + 4584,24072, 4592,28168, 4600,32264, 4624,8264, 4632,12360, 4640,16456, + 4648,20552, 4656,24648, 4664,28744, 4688,8776, 4696,12872, 4704,16968, + 4712,21064, 4720,25160, 4728,29256, 4744,5192, 4752,9288, 4760,13384, + 4768,17480, 4776,21576, 4784,25672, 4792,29768, 4808,5704, 4816,9800, + 4824,13896, 4832,17992, 4840,22088, 4848,26184, 4856,30280, 4872,6216, + 4880,10312, 4888,14408, 4896,18504, 4904,22600, 4912,26696, 4920,30792, + 4936,6728, 4944,10824, 4952,14920, 4960,19016, 4968,23112, 4976,27208, + 4984,31304, 5000,7240, 5008,11336, 5016,15432, 5024,19528, 5032,23624, + 5040,27720, 5048,31816, 5064,7752, 5072,11848, 5080,15944, 5088,20040, + 5096,24136, 5104,28232, 5112,32328, 5136,8328, 5144,12424, 5152,16520, + 5160,20616, 5168,24712, 5176,28808, 5200,8840, 5208,12936, 5216,17032, + 5224,21128, 5232,25224, 5240,29320, 5264,9352, 5272,13448, 5280,17544, + 5288,21640, 5296,25736, 5304,29832, 5320,5768, 5328,9864, 5336,13960, + 5344,18056, 5352,22152, 5360,26248, 5368,30344, 5384,6280, 5392,10376, + 5400,14472, 5408,18568, 5416,22664, 5424,26760, 5432,30856, 5448,6792, + 5456,10888, 5464,14984, 5472,19080, 5480,23176, 5488,27272, 5496,31368, + 5512,7304, 5520,11400, 5528,15496, 5536,19592, 5544,23688, 5552,27784, + 5560,31880, 5576,7816, 5584,11912, 5592,16008, 5600,20104, 5608,24200, + 5616,28296, 5624,32392, 5648,8392, 5656,12488, 5664,16584, 5672,20680, + 5680,24776, 5688,28872, 5712,8904, 5720,13000, 5728,17096, 5736,21192, + 5744,25288, 5752,29384, 5776,9416, 5784,13512, 5792,17608, 5800,21704, + 5808,25800, 5816,29896, 5840,9928, 5848,14024, 5856,18120, 5864,22216, + 5872,26312, 5880,30408, 5896,6344, 5904,10440, 5912,14536, 5920,18632, + 5928,22728, 5936,26824, 5944,30920, 5960,6856, 5968,10952, 5976,15048, + 5984,19144, 5992,23240, 6000,27336, 6008,31432, 6024,7368, 6032,11464, + 6040,15560, 6048,19656, 6056,23752, 6064,27848, 6072,31944, 6088,7880, + 6096,11976, 6104,16072, 6112,20168, 6120,24264, 6128,28360, 6136,32456, + 6160,8456, 6168,12552, 6176,16648, 6184,20744, 6192,24840, 6200,28936, + 6224,8968, 6232,13064, 6240,17160, 6248,21256, 6256,25352, 6264,29448, + 6288,9480, 6296,13576, 6304,17672, 6312,21768, 6320,25864, 6328,29960, + 6352,9992, 6360,14088, 6368,18184, 6376,22280, 6384,26376, 6392,30472, + 6416,10504, 6424,14600, 6432,18696, 6440,22792, 6448,26888, 6456,30984, + 6472,6920, 6480,11016, 6488,15112, 6496,19208, 6504,23304, 6512,27400, + 6520,31496, 6536,7432, 6544,11528, 6552,15624, 6560,19720, 6568,23816, + 6576,27912, 6584,32008, 6600,7944, 6608,12040, 6616,16136, 6624,20232, + 6632,24328, 6640,28424, 6648,32520, 6672,8520, 6680,12616, 6688,16712, + 6696,20808, 6704,24904, 6712,29000, 6736,9032, 6744,13128, 6752,17224, + 6760,21320, 6768,25416, 6776,29512, 6800,9544, 6808,13640, 6816,17736, + 6824,21832, 6832,25928, 6840,30024, 6864,10056, 6872,14152, 6880,18248, + 6888,22344, 6896,26440, 6904,30536, 6928,10568, 6936,14664, 6944,18760, + 6952,22856, 6960,26952, 6968,31048, 6992,11080, 7000,15176, 7008,19272, + 7016,23368, 7024,27464, 7032,31560, 7048,7496, 7056,11592, 7064,15688, + 7072,19784, 7080,23880, 7088,27976, 7096,32072, 7112,8008, 7120,12104, + 7128,16200, 7136,20296, 7144,24392, 7152,28488, 7160,32584, 7184,8584, + 7192,12680, 7200,16776, 7208,20872, 7216,24968, 7224,29064, 7248,9096, + 7256,13192, 7264,17288, 7272,21384, 7280,25480, 7288,29576, 7312,9608, + 7320,13704, 7328,17800, 7336,21896, 7344,25992, 7352,30088, 7376,10120, + 7384,14216, 7392,18312, 7400,22408, 7408,26504, 7416,30600, 7440,10632, + 7448,14728, 7456,18824, 7464,22920, 7472,27016, 7480,31112, 7504,11144, + 7512,15240, 7520,19336, 7528,23432, 7536,27528, 7544,31624, 7568,11656, + 7576,15752, 7584,19848, 7592,23944, 7600,28040, 7608,32136, 7624,8072, + 7632,12168, 7640,16264, 7648,20360, 7656,24456, 7664,28552, 7672,32648, + 7696,8648, 7704,12744, 7712,16840, 7720,20936, 7728,25032, 7736,29128, + 7760,9160, 7768,13256, 7776,17352, 7784,21448, 7792,25544, 7800,29640, + 7824,9672, 7832,13768, 7840,17864, 7848,21960, 7856,26056, 7864,30152, + 7888,10184, 7896,14280, 7904,18376, 7912,22472, 7920,26568, 7928,30664, + 7952,10696, 7960,14792, 7968,18888, 7976,22984, 7984,27080, 7992,31176, + 8016,11208, 8024,15304, 8032,19400, 8040,23496, 8048,27592, 8056,31688, + 8080,11720, 8088,15816, 8096,19912, 8104,24008, 8112,28104, 8120,32200, + 8144,12232, 8152,16328, 8160,20424, 8168,24520, 8176,28616, 8184,32712, + 8216,12304, 8224,16400, 8232,20496, 8240,24592, 8248,28688, 8272,8720, + 8280,12816, 8288,16912, 8296,21008, 8304,25104, 8312,29200, 8336,9232, + 8344,13328, 8352,17424, 8360,21520, 8368,25616, 8376,29712, 8400,9744, + 8408,13840, 8416,17936, 8424,22032, 8432,26128, 8440,30224, 8464,10256, + 8472,14352, 8480,18448, 8488,22544, 8496,26640, 8504,30736, 8528,10768, + 8536,14864, 8544,18960, 8552,23056, 8560,27152, 8568,31248, 8592,11280, + 8600,15376, 8608,19472, 8616,23568, 8624,27664, 8632,31760, 8656,11792, + 8664,15888, 8672,19984, 8680,24080, 8688,28176, 8696,32272, 8728,12368, + 8736,16464, 8744,20560, 8752,24656, 8760,28752, 8792,12880, 8800,16976, + 8808,21072, 8816,25168, 8824,29264, 8848,9296, 8856,13392, 8864,17488, + 8872,21584, 8880,25680, 8888,29776, 8912,9808, 8920,13904, 8928,18000, + 8936,22096, 8944,26192, 8952,30288, 8976,10320, 8984,14416, 8992,18512, + 9000,22608, 9008,26704, 9016,30800, 9040,10832, 9048,14928, 9056,19024, + 9064,23120, 9072,27216, 9080,31312, 9104,11344, 9112,15440, 9120,19536, + 9128,23632, 9136,27728, 9144,31824, 9168,11856, 9176,15952, 9184,20048, + 9192,24144, 9200,28240, 9208,32336, 9240,12432, 9248,16528, 9256,20624, + 9264,24720, 9272,28816, 9304,12944, 9312,17040, 9320,21136, 9328,25232, + 9336,29328, 9368,13456, 9376,17552, 9384,21648, 9392,25744, 9400,29840, + 9424,9872, 9432,13968, 9440,18064, 9448,22160, 9456,26256, 9464,30352, + 9488,10384, 9496,14480, 9504,18576, 9512,22672, 9520,26768, 9528,30864, + 9552,10896, 9560,14992, 9568,19088, 9576,23184, 9584,27280, 9592,31376, + 9616,11408, 9624,15504, 9632,19600, 9640,23696, 9648,27792, 9656,31888, + 9680,11920, 9688,16016, 9696,20112, 9704,24208, 9712,28304, 9720,32400, + 9752,12496, 9760,16592, 9768,20688, 9776,24784, 9784,28880, 9816,13008, + 9824,17104, 9832,21200, 9840,25296, 9848,29392, 9880,13520, 9888,17616, + 9896,21712, 9904,25808, 9912,29904, 9944,14032, 9952,18128, 9960,22224, + 9968,26320, 9976,30416, 10000,10448, 10008,14544, 10016,18640, 10024,22736, + 10032,26832, 10040,30928, 10064,10960, 10072,15056, 10080,19152, + 10088,23248, 10096,27344, 10104,31440, 10128,11472, 10136,15568, + 10144,19664, 10152,23760, 10160,27856, 10168,31952, 10192,11984, + 10200,16080, 10208,20176, 10216,24272, 10224,28368, 10232,32464, + 10264,12560, 10272,16656, 10280,20752, 10288,24848, 10296,28944, + 10328,13072, 10336,17168, 10344,21264, 10352,25360, 10360,29456, + 10392,13584, 10400,17680, 10408,21776, 10416,25872, 10424,29968, + 10456,14096, 10464,18192, 10472,22288, 10480,26384, 10488,30480, + 10520,14608, 10528,18704, 10536,22800, 10544,26896, 10552,30992, + 10576,11024, 10584,15120, 10592,19216, 10600,23312, 10608,27408, + 10616,31504, 10640,11536, 10648,15632, 10656,19728, 10664,23824, + 10672,27920, 10680,32016, 10704,12048, 10712,16144, 10720,20240, + 10728,24336, 10736,28432, 10744,32528, 10776,12624, 10784,16720, + 10792,20816, 10800,24912, 10808,29008, 10840,13136, 10848,17232, + 10856,21328, 10864,25424, 10872,29520, 10904,13648, 10912,17744, + 10920,21840, 10928,25936, 10936,30032, 10968,14160, 10976,18256, + 10984,22352, 10992,26448, 11000,30544, 11032,14672, 11040,18768, + 11048,22864, 11056,26960, 11064,31056, 11096,15184, 11104,19280, + 11112,23376, 11120,27472, 11128,31568, 11152,11600, 11160,15696, + 11168,19792, 11176,23888, 11184,27984, 11192,32080, 11216,12112, + 11224,16208, 11232,20304, 11240,24400, 11248,28496, 11256,32592, + 11288,12688, 11296,16784, 11304,20880, 11312,24976, 11320,29072, + 11352,13200, 11360,17296, 11368,21392, 11376,25488, 11384,29584, + 11416,13712, 11424,17808, 11432,21904, 11440,26000, 11448,30096, + 11480,14224, 11488,18320, 11496,22416, 11504,26512, 11512,30608, + 11544,14736, 11552,18832, 11560,22928, 11568,27024, 11576,31120, + 11608,15248, 11616,19344, 11624,23440, 11632,27536, 11640,31632, + 11672,15760, 11680,19856, 11688,23952, 11696,28048, 11704,32144, + 11728,12176, 11736,16272, 11744,20368, 11752,24464, 11760,28560, + 11768,32656, 11800,12752, 11808,16848, 11816,20944, 11824,25040, + 11832,29136, 11864,13264, 11872,17360, 11880,21456, 11888,25552, + 11896,29648, 11928,13776, 11936,17872, 11944,21968, 11952,26064, + 11960,30160, 11992,14288, 12000,18384, 12008,22480, 12016,26576, + 12024,30672, 12056,14800, 12064,18896, 12072,22992, 12080,27088, + 12088,31184, 12120,15312, 12128,19408, 12136,23504, 12144,27600, + 12152,31696, 12184,15824, 12192,19920, 12200,24016, 12208,28112, + 12216,32208, 12248,16336, 12256,20432, 12264,24528, 12272,28624, + 12280,32720, 12320,16408, 12328,20504, 12336,24600, 12344,28696, + 12376,12824, 12384,16920, 12392,21016, 12400,25112, 12408,29208, + 12440,13336, 12448,17432, 12456,21528, 12464,25624, 12472,29720, + 12504,13848, 12512,17944, 12520,22040, 12528,26136, 12536,30232, + 12568,14360, 12576,18456, 12584,22552, 12592,26648, 12600,30744, + 12632,14872, 12640,18968, 12648,23064, 12656,27160, 12664,31256, + 12696,15384, 12704,19480, 12712,23576, 12720,27672, 12728,31768, + 12760,15896, 12768,19992, 12776,24088, 12784,28184, 12792,32280, + 12832,16472, 12840,20568, 12848,24664, 12856,28760, 12896,16984, + 12904,21080, 12912,25176, 12920,29272, 12952,13400, 12960,17496, + 12968,21592, 12976,25688, 12984,29784, 13016,13912, 13024,18008, + 13032,22104, 13040,26200, 13048,30296, 13080,14424, 13088,18520, + 13096,22616, 13104,26712, 13112,30808, 13144,14936, 13152,19032, + 13160,23128, 13168,27224, 13176,31320, 13208,15448, 13216,19544, + 13224,23640, 13232,27736, 13240,31832, 13272,15960, 13280,20056, + 13288,24152, 13296,28248, 13304,32344, 13344,16536, 13352,20632, + 13360,24728, 13368,28824, 13408,17048, 13416,21144, 13424,25240, + 13432,29336, 13472,17560, 13480,21656, 13488,25752, 13496,29848, + 13528,13976, 13536,18072, 13544,22168, 13552,26264, 13560,30360, + 13592,14488, 13600,18584, 13608,22680, 13616,26776, 13624,30872, + 13656,15000, 13664,19096, 13672,23192, 13680,27288, 13688,31384, + 13720,15512, 13728,19608, 13736,23704, 13744,27800, 13752,31896, + 13784,16024, 13792,20120, 13800,24216, 13808,28312, 13816,32408, + 13856,16600, 13864,20696, 13872,24792, 13880,28888, 13920,17112, + 13928,21208, 13936,25304, 13944,29400, 13984,17624, 13992,21720, + 14000,25816, 14008,29912, 14048,18136, 14056,22232, 14064,26328, + 14072,30424, 14104,14552, 14112,18648, 14120,22744, 14128,26840, + 14136,30936, 14168,15064, 14176,19160, 14184,23256, 14192,27352, + 14200,31448, 14232,15576, 14240,19672, 14248,23768, 14256,27864, + 14264,31960, 14296,16088, 14304,20184, 14312,24280, 14320,28376, + 14328,32472, 14368,16664, 14376,20760, 14384,24856, 14392,28952, + 14432,17176, 14440,21272, 14448,25368, 14456,29464, 14496,17688, + 14504,21784, 14512,25880, 14520,29976, 14560,18200, 14568,22296, + 14576,26392, 14584,30488, 14624,18712, 14632,22808, 14640,26904, + 14648,31000, 14680,15128, 14688,19224, 14696,23320, 14704,27416, + 14712,31512, 14744,15640, 14752,19736, 14760,23832, 14768,27928, + 14776,32024, 14808,16152, 14816,20248, 14824,24344, 14832,28440, + 14840,32536, 14880,16728, 14888,20824, 14896,24920, 14904,29016, + 14944,17240, 14952,21336, 14960,25432, 14968,29528, 15008,17752, + 15016,21848, 15024,25944, 15032,30040, 15072,18264, 15080,22360, + 15088,26456, 15096,30552, 15136,18776, 15144,22872, 15152,26968, + 15160,31064, 15200,19288, 15208,23384, 15216,27480, 15224,31576, + 15256,15704, 15264,19800, 15272,23896, 15280,27992, 15288,32088, + 15320,16216, 15328,20312, 15336,24408, 15344,28504, 15352,32600, + 15392,16792, 15400,20888, 15408,24984, 15416,29080, 15456,17304, + 15464,21400, 15472,25496, 15480,29592, 15520,17816, 15528,21912, + 15536,26008, 15544,30104, 15584,18328, 15592,22424, 15600,26520, + 15608,30616, 15648,18840, 15656,22936, 15664,27032, 15672,31128, + 15712,19352, 15720,23448, 15728,27544, 15736,31640, 15776,19864, + 15784,23960, 15792,28056, 15800,32152, 15832,16280, 15840,20376, + 15848,24472, 15856,28568, 15864,32664, 15904,16856, 15912,20952, + 15920,25048, 15928,29144, 15968,17368, 15976,21464, 15984,25560, + 15992,29656, 16032,17880, 16040,21976, 16048,26072, 16056,30168, + 16096,18392, 16104,22488, 16112,26584, 16120,30680, 16160,18904, + 16168,23000, 16176,27096, 16184,31192, 16224,19416, 16232,23512, + 16240,27608, 16248,31704, 16288,19928, 16296,24024, 16304,28120, + 16312,32216, 16352,20440, 16360,24536, 16368,28632, 16376,32728, + 16424,20512, 16432,24608, 16440,28704, 16480,16928, 16488,21024, + 16496,25120, 16504,29216, 16544,17440, 16552,21536, 16560,25632, + 16568,29728, 16608,17952, 16616,22048, 16624,26144, 16632,30240, + 16672,18464, 16680,22560, 16688,26656, 16696,30752, 16736,18976, + 16744,23072, 16752,27168, 16760,31264, 16800,19488, 16808,23584, + 16816,27680, 16824,31776, 16864,20000, 16872,24096, 16880,28192, + 16888,32288, 16936,20576, 16944,24672, 16952,28768, 17000,21088, + 17008,25184, 17016,29280, 17056,17504, 17064,21600, 17072,25696, + 17080,29792, 17120,18016, 17128,22112, 17136,26208, 17144,30304, + 17184,18528, 17192,22624, 17200,26720, 17208,30816, 17248,19040, + 17256,23136, 17264,27232, 17272,31328, 17312,19552, 17320,23648, + 17328,27744, 17336,31840, 17376,20064, 17384,24160, 17392,28256, + 17400,32352, 17448,20640, 17456,24736, 17464,28832, 17512,21152, + 17520,25248, 17528,29344, 17576,21664, 17584,25760, 17592,29856, + 17632,18080, 17640,22176, 17648,26272, 17656,30368, 17696,18592, + 17704,22688, 17712,26784, 17720,30880, 17760,19104, 17768,23200, + 17776,27296, 17784,31392, 17824,19616, 17832,23712, 17840,27808, + 17848,31904, 17888,20128, 17896,24224, 17904,28320, 17912,32416, + 17960,20704, 17968,24800, 17976,28896, 18024,21216, 18032,25312, + 18040,29408, 18088,21728, 18096,25824, 18104,29920, 18152,22240, + 18160,26336, 18168,30432, 18208,18656, 18216,22752, 18224,26848, + 18232,30944, 18272,19168, 18280,23264, 18288,27360, 18296,31456, + 18336,19680, 18344,23776, 18352,27872, 18360,31968, 18400,20192, + 18408,24288, 18416,28384, 18424,32480, 18472,20768, 18480,24864, + 18488,28960, 18536,21280, 18544,25376, 18552,29472, 18600,21792, + 18608,25888, 18616,29984, 18664,22304, 18672,26400, 18680,30496, + 18728,22816, 18736,26912, 18744,31008, 18784,19232, 18792,23328, + 18800,27424, 18808,31520, 18848,19744, 18856,23840, 18864,27936, + 18872,32032, 18912,20256, 18920,24352, 18928,28448, 18936,32544, + 18984,20832, 18992,24928, 19000,29024, 19048,21344, 19056,25440, + 19064,29536, 19112,21856, 19120,25952, 19128,30048, 19176,22368, + 19184,26464, 19192,30560, 19240,22880, 19248,26976, 19256,31072, + 19304,23392, 19312,27488, 19320,31584, 19360,19808, 19368,23904, + 19376,28000, 19384,32096, 19424,20320, 19432,24416, 19440,28512, + 19448,32608, 19496,20896, 19504,24992, 19512,29088, 19560,21408, + 19568,25504, 19576,29600, 19624,21920, 19632,26016, 19640,30112, + 19688,22432, 19696,26528, 19704,30624, 19752,22944, 19760,27040, + 19768,31136, 19816,23456, 19824,27552, 19832,31648, 19880,23968, + 19888,28064, 19896,32160, 19936,20384, 19944,24480, 19952,28576, + 19960,32672, 20008,20960, 20016,25056, 20024,29152, 20072,21472, + 20080,25568, 20088,29664, 20136,21984, 20144,26080, 20152,30176, + 20200,22496, 20208,26592, 20216,30688, 20264,23008, 20272,27104, + 20280,31200, 20328,23520, 20336,27616, 20344,31712, 20392,24032, + 20400,28128, 20408,32224, 20456,24544, 20464,28640, 20472,32736, + 20528,24616, 20536,28712, 20584,21032, 20592,25128, 20600,29224, + 20648,21544, 20656,25640, 20664,29736, 20712,22056, 20720,26152, + 20728,30248, 20776,22568, 20784,26664, 20792,30760, 20840,23080, + 20848,27176, 20856,31272, 20904,23592, 20912,27688, 20920,31784, + 20968,24104, 20976,28200, 20984,32296, 21040,24680, 21048,28776, + 21104,25192, 21112,29288, 21160,21608, 21168,25704, 21176,29800, + 21224,22120, 21232,26216, 21240,30312, 21288,22632, 21296,26728, + 21304,30824, 21352,23144, 21360,27240, 21368,31336, 21416,23656, + 21424,27752, 21432,31848, 21480,24168, 21488,28264, 21496,32360, + 21552,24744, 21560,28840, 21616,25256, 21624,29352, 21680,25768, + 21688,29864, 21736,22184, 21744,26280, 21752,30376, 21800,22696, + 21808,26792, 21816,30888, 21864,23208, 21872,27304, 21880,31400, + 21928,23720, 21936,27816, 21944,31912, 21992,24232, 22000,28328, + 22008,32424, 22064,24808, 22072,28904, 22128,25320, 22136,29416, + 22192,25832, 22200,29928, 22256,26344, 22264,30440, 22312,22760, + 22320,26856, 22328,30952, 22376,23272, 22384,27368, 22392,31464, + 22440,23784, 22448,27880, 22456,31976, 22504,24296, 22512,28392, + 22520,32488, 22576,24872, 22584,28968, 22640,25384, 22648,29480, + 22704,25896, 22712,29992, 22768,26408, 22776,30504, 22832,26920, + 22840,31016, 22888,23336, 22896,27432, 22904,31528, 22952,23848, + 22960,27944, 22968,32040, 23016,24360, 23024,28456, 23032,32552, + 23088,24936, 23096,29032, 23152,25448, 23160,29544, 23216,25960, + 23224,30056, 23280,26472, 23288,30568, 23344,26984, 23352,31080, + 23408,27496, 23416,31592, 23464,23912, 23472,28008, 23480,32104, + 23528,24424, 23536,28520, 23544,32616, 23600,25000, 23608,29096, + 23664,25512, 23672,29608, 23728,26024, 23736,30120, 23792,26536, + 23800,30632, 23856,27048, 23864,31144, 23920,27560, 23928,31656, + 23984,28072, 23992,32168, 24040,24488, 24048,28584, 24056,32680, + 24112,25064, 24120,29160, 24176,25576, 24184,29672, 24240,26088, + 24248,30184, 24304,26600, 24312,30696, 24368,27112, 24376,31208, + 24432,27624, 24440,31720, 24496,28136, 24504,32232, 24560,28648, + 24568,32744, 24632,28720, 24688,25136, 24696,29232, 24752,25648, + 24760,29744, 24816,26160, 24824,30256, 24880,26672, 24888,30768, + 24944,27184, 24952,31280, 25008,27696, 25016,31792, 25072,28208, + 25080,32304, 25144,28784, 25208,29296, 25264,25712, 25272,29808, + 25328,26224, 25336,30320, 25392,26736, 25400,30832, 25456,27248, + 25464,31344, 25520,27760, 25528,31856, 25584,28272, 25592,32368, + 25656,28848, 25720,29360, 25784,29872, 25840,26288, 25848,30384, + 25904,26800, 25912,30896, 25968,27312, 25976,31408, 26032,27824, + 26040,31920, 26096,28336, 26104,32432, 26168,28912, 26232,29424, + 26296,29936, 26360,30448, 26416,26864, 26424,30960, 26480,27376, + 26488,31472, 26544,27888, 26552,31984, 26608,28400, 26616,32496, + 26680,28976, 26744,29488, 26808,30000, 26872,30512, 26936,31024, + 26992,27440, 27000,31536, 27056,27952, 27064,32048, 27120,28464, + 27128,32560, 27192,29040, 27256,29552, 27320,30064, 27384,30576, + 27448,31088, 27512,31600, 27568,28016, 27576,32112, 27632,28528, + 27640,32624, 27704,29104, 27768,29616, 27832,30128, 27896,30640, + 27960,31152, 28024,31664, 28088,32176, 28144,28592, 28152,32688, + 28216,29168, 28280,29680, 28344,30192, 28408,30704, 28472,31216, + 28536,31728, 28600,32240, 28664,32752, 28792,29240, 28856,29752, + 28920,30264, 28984,30776, 29048,31288, 29112,31800, 29176,32312, + 29368,29816, 29432,30328, 29496,30840, 29560,31352, 29624,31864, + 29688,32376, 29944,30392, 30008,30904, 30072,31416, 30136,31928, + 30200,32440, 30520,30968, 30584,31480, 30648,31992, 30712,32504, + 31096,31544, 31160,32056, 31224,32568, 31672,32120, 31736,32632, + 32248,32696 +}; + + +const uint16_t armBitRevIndexTable_fixed_16[ARMBITREVINDEXTABLE_FIXED_16_TABLE_LENGTH] = +{ + /* radix 4, size 12 */ + 8,64, 16,32, 24,96, 40,80, 56,112, 88,104 +}; + +const uint16_t armBitRevIndexTable_fixed_32[ARMBITREVINDEXTABLE_FIXED_32_TABLE_LENGTH] = +{ + /* 4x2, size 24 */ + 8,128, 16,64, 24,192, 40,160, 48,96, 56,224, 72,144, + 88,208, 104,176, 120,240, 152,200, 184,232 +}; + +const uint16_t armBitRevIndexTable_fixed_64[ARMBITREVINDEXTABLE_FIXED_64_TABLE_LENGTH] = +{ + /* radix 4, size 56 */ + 8,256, 16,128, 24,384, 32,64, 40,320, 48,192, 56,448, 72,288, 80,160, 88,416, 104,352, + 112,224, 120,480, 136,272, 152,400, 168,336, 176,208, 184,464, 200,304, 216,432, + 232,368, 248,496, 280,392, 296,328, 312,456, 344,424, 376,488, 440,472 +}; + +const uint16_t armBitRevIndexTable_fixed_128[ARMBITREVINDEXTABLE_FIXED_128_TABLE_LENGTH] = +{ + /* 4x2, size 112 */ + 8,512, 16,256, 24,768, 32,128, 40,640, 48,384, 56,896, 72,576, 80,320, 88,832, 96,192, + 104,704, 112,448, 120,960, 136,544, 144,288, 152,800, 168,672, 176,416, 184,928, 200,608, + 208,352, 216,864, 232,736, 240,480, 248,992, 264,528, 280,784, 296,656, 304,400, 312,912, + 328,592, 344,848, 360,720, 368,464, 376,976, 392,560, 408,816, 424,688, 440,944, 456,624, + 472,880, 488,752, 504,1008, 536,776, 552,648, 568,904, 600,840, 616,712, 632,968, + 664,808, 696,936, 728,872, 760,1000, 824,920, 888,984 +}; + +const uint16_t armBitRevIndexTable_fixed_256[ARMBITREVINDEXTABLE_FIXED_256_TABLE_LENGTH] = +{ + /* radix 4, size 240 */ + 8,1024, 16,512, 24,1536, 32,256, 40,1280, 48,768, 56,1792, 64,128, 72,1152, 80,640, + 88,1664, 96,384, 104,1408, 112,896, 120,1920, 136,1088, 144,576, 152,1600, 160,320, + 168,1344, 176,832, 184,1856, 200,1216, 208,704, 216,1728, 224,448, 232,1472, 240,960, + 248,1984, 264,1056, 272,544, 280,1568, 296,1312, 304,800, 312,1824, 328,1184, 336,672, + 344,1696, 352,416, 360,1440, 368,928, 376,1952, 392,1120, 400,608, 408,1632, 424,1376, + 432,864, 440,1888, 456,1248, 464,736, 472,1760, 488,1504, 496,992, 504,2016, 520,1040, + 536,1552, 552,1296, 560,784, 568,1808, 584,1168, 592,656, 600,1680, 616,1424, 624,912, + 632,1936, 648,1104, 664,1616, 680,1360, 688,848, 696,1872, 712,1232, 728,1744, 744,1488, + 752,976, 760,2000, 776,1072, 792,1584, 808,1328, 824,1840, 840,1200, 856,1712, 872,1456, + 880,944, 888,1968, 904,1136, 920,1648, 936,1392, 952,1904, 968,1264, 984,1776, 1000,1520, + 1016,2032, 1048,1544, 1064,1288, 1080,1800, 1096,1160, 1112,1672, 1128,1416, 1144,1928, + 1176,1608, 1192,1352, 1208,1864, 1240,1736, 1256,1480, 1272,1992, 1304,1576, 1336,1832, + 1368,1704, 1384,1448, 1400,1960, 1432,1640, 1464,1896, 1496,1768, 1528,2024, 1592,1816, + 1624,1688, 1656,1944, 1720,1880, 1784,2008, 1912,1976 +}; + +const uint16_t armBitRevIndexTable_fixed_512[ARMBITREVINDEXTABLE_FIXED_512_TABLE_LENGTH] = +{ + /* 4x2, size 480 */ + 8,2048, 16,1024, 24,3072, 32,512, 40,2560, 48,1536, 56,3584, 64,256, 72,2304, 80,1280, + 88,3328, 96,768, 104,2816, 112,1792, 120,3840, 136,2176, 144,1152, 152,3200, 160,640, + 168,2688, 176,1664, 184,3712, 192,384, 200,2432, 208,1408, 216,3456, 224,896, 232,2944, + 240,1920, 248,3968, 264,2112, 272,1088, 280,3136, 288,576, 296,2624, 304,1600, 312,3648, + 328,2368, 336,1344, 344,3392, 352,832, 360,2880, 368,1856, 376,3904, 392,2240, 400,1216, + 408,3264, 416,704, 424,2752, 432,1728, 440,3776, 456,2496, 464,1472, 472,3520, 480,960, + 488,3008, 496,1984, 504,4032, 520,2080, 528,1056, 536,3104, 552,2592, 560,1568, 568,3616, + 584,2336, 592,1312, 600,3360, 608,800, 616,2848, 624,1824, 632,3872, 648,2208, 656,1184, + 664,3232, 680,2720, 688,1696, 696,3744, 712,2464, 720,1440, 728,3488, 736,928, 744,2976, + 752,1952, 760,4000, 776,2144, 784,1120, 792,3168, 808,2656, 816,1632, 824,3680, 840,2400, + 848,1376, 856,3424, 872,2912, 880,1888, 888,3936, 904,2272, 912,1248, 920,3296, 936,2784, + 944,1760, 952,3808, 968,2528, 976,1504, 984,3552, 1000,3040, 1008,2016, 1016,4064, + 1032,2064, 1048,3088, 1064,2576, 1072,1552, 1080,3600, 1096,2320, 1104,1296, 1112,3344, + 1128,2832, 1136,1808, 1144,3856, 1160,2192, 1176,3216, 1192,2704, 1200,1680, 1208,3728, + 1224,2448, 1232,1424, 1240,3472, 1256,2960, 1264,1936, 1272,3984, 1288,2128, 1304,3152, + 1320,2640, 1328,1616, 1336,3664, 1352,2384, 1368,3408, 1384,2896, 1392,1872, 1400,3920, + 1416,2256, 1432,3280, 1448,2768, 1456,1744, 1464,3792, 1480,2512, 1496,3536, 1512,3024, + 1520,2000, 1528,4048, 1544,2096, 1560,3120, 1576,2608, 1592,3632, 1608,2352, 1624,3376, + 1640,2864, 1648,1840, 1656,3888, 1672,2224, 1688,3248, 1704,2736, 1720,3760, 1736,2480, + 1752,3504, 1768,2992, 1776,1968, 1784,4016, 1800,2160, 1816,3184, 1832,2672, 1848,3696, + 1864,2416, 1880,3440, 1896,2928, 1912,3952, 1928,2288, 1944,3312, 1960,2800, 1976,3824, + 1992,2544, 2008,3568, 2024,3056, 2040,4080, 2072,3080, 2088,2568, 2104,3592, 2120,2312, + 2136,3336, 2152,2824, 2168,3848, 2200,3208, 2216,2696, 2232,3720, 2248,2440, 2264,3464, + 2280,2952, 2296,3976, 2328,3144, 2344,2632, 2360,3656, 2392,3400, 2408,2888, 2424,3912, + 2456,3272, 2472,2760, 2488,3784, 2520,3528, 2536,3016, 2552,4040, 2584,3112, 2616,3624, + 2648,3368, 2664,2856, 2680,3880, 2712,3240, 2744,3752, 2776,3496, 2792,2984, 2808,4008, + 2840,3176, 2872,3688, 2904,3432, 2936,3944, 2968,3304, 3000,3816, 3032,3560, 3064,4072, + 3128,3608, 3160,3352, 3192,3864, 3256,3736, 3288,3480, 3320,3992, 3384,3672, 3448,3928, + 3512,3800, 3576,4056, 3704,3896, 3832,4024 +}; + +const uint16_t armBitRevIndexTable_fixed_1024[ARMBITREVINDEXTABLE_FIXED_1024_TABLE_LENGTH] = +{ + /* radix 4, size 992 */ + 8,4096, 16,2048, 24,6144, 32,1024, 40,5120, 48,3072, 56,7168, 64,512, 72,4608, + 80,2560, 88,6656, 96,1536, 104,5632, 112,3584, 120,7680, 128,256, 136,4352, + 144,2304, 152,6400, 160,1280, 168,5376, 176,3328, 184,7424, 192,768, 200,4864, + 208,2816, 216,6912, 224,1792, 232,5888, 240,3840, 248,7936, 264,4224, 272,2176, + 280,6272, 288,1152, 296,5248, 304,3200, 312,7296, 320,640, 328,4736, 336,2688, + 344,6784, 352,1664, 360,5760, 368,3712, 376,7808, 392,4480, 400,2432, 408,6528, + 416,1408, 424,5504, 432,3456, 440,7552, 448,896, 456,4992, 464,2944, 472,7040, + 480,1920, 488,6016, 496,3968, 504,8064, 520,4160, 528,2112, 536,6208, 544,1088, + 552,5184, 560,3136, 568,7232, 584,4672, 592,2624, 600,6720, 608,1600, 616,5696, + 624,3648, 632,7744, 648,4416, 656,2368, 664,6464, 672,1344, 680,5440, 688,3392, + 696,7488, 704,832, 712,4928, 720,2880, 728,6976, 736,1856, 744,5952, 752,3904, + 760,8000, 776,4288, 784,2240, 792,6336, 800,1216, 808,5312, 816,3264, 824,7360, + 840,4800, 848,2752, 856,6848, 864,1728, 872,5824, 880,3776, 888,7872, 904,4544, + 912,2496, 920,6592, 928,1472, 936,5568, 944,3520, 952,7616, 968,5056, 976,3008, + 984,7104, 992,1984, 1000,6080, 1008,4032, 1016,8128, 1032,4128, 1040,2080, + 1048,6176, 1064,5152, 1072,3104, 1080,7200, 1096,4640, 1104,2592, 1112,6688, + 1120,1568, 1128,5664, 1136,3616, 1144,7712, 1160,4384, 1168,2336, 1176,6432, + 1184,1312, 1192,5408, 1200,3360, 1208,7456, 1224,4896, 1232,2848, 1240,6944, + 1248,1824, 1256,5920, 1264,3872, 1272,7968, 1288,4256, 1296,2208, 1304,6304, + 1320,5280, 1328,3232, 1336,7328, 1352,4768, 1360,2720, 1368,6816, 1376,1696, + 1384,5792, 1392,3744, 1400,7840, 1416,4512, 1424,2464, 1432,6560, 1448,5536, + 1456,3488, 1464,7584, 1480,5024, 1488,2976, 1496,7072, 1504,1952, 1512,6048, + 1520,4000, 1528,8096, 1544,4192, 1552,2144, 1560,6240, 1576,5216, 1584,3168, + 1592,7264, 1608,4704, 1616,2656, 1624,6752, 1640,5728, 1648,3680, 1656,7776, + 1672,4448, 1680,2400, 1688,6496, 1704,5472, 1712,3424, 1720,7520, 1736,4960, + 1744,2912, 1752,7008, 1760,1888, 1768,5984, 1776,3936, 1784,8032, 1800,4320, + 1808,2272, 1816,6368, 1832,5344, 1840,3296, 1848,7392, 1864,4832, 1872,2784, + 1880,6880, 1896,5856, 1904,3808, 1912,7904, 1928,4576, 1936,2528, 1944,6624, + 1960,5600, 1968,3552, 1976,7648, 1992,5088, 2000,3040, 2008,7136, 2024,6112, + 2032,4064, 2040,8160, 2056,4112, 2072,6160, 2088,5136, 2096,3088, 2104,7184, + 2120,4624, 2128,2576, 2136,6672, 2152,5648, 2160,3600, 2168,7696, 2184,4368, + 2192,2320, 2200,6416, 2216,5392, 2224,3344, 2232,7440, 2248,4880, 2256,2832, + 2264,6928, 2280,5904, 2288,3856, 2296,7952, 2312,4240, 2328,6288, 2344,5264, + 2352,3216, 2360,7312, 2376,4752, 2384,2704, 2392,6800, 2408,5776, 2416,3728, + 2424,7824, 2440,4496, 2456,6544, 2472,5520, 2480,3472, 2488,7568, 2504,5008, + 2512,2960, 2520,7056, 2536,6032, 2544,3984, 2552,8080, 2568,4176, 2584,6224, + 2600,5200, 2608,3152, 2616,7248, 2632,4688, 2648,6736, 2664,5712, 2672,3664, + 2680,7760, 2696,4432, 2712,6480, 2728,5456, 2736,3408, 2744,7504, 2760,4944, + 2768,2896, 2776,6992, 2792,5968, 2800,3920, 2808,8016, 2824,4304, 2840,6352, + 2856,5328, 2864,3280, 2872,7376, 2888,4816, 2904,6864, 2920,5840, 2928,3792, + 2936,7888, 2952,4560, 2968,6608, 2984,5584, 2992,3536, 3000,7632, 3016,5072, + 3032,7120, 3048,6096, 3056,4048, 3064,8144, 3080,4144, 3096,6192, 3112,5168, + 3128,7216, 3144,4656, 3160,6704, 3176,5680, 3184,3632, 3192,7728, 3208,4400, + 3224,6448, 3240,5424, 3248,3376, 3256,7472, 3272,4912, 3288,6960, 3304,5936, + 3312,3888, 3320,7984, 3336,4272, 3352,6320, 3368,5296, 3384,7344, 3400,4784, + 3416,6832, 3432,5808, 3440,3760, 3448,7856, 3464,4528, 3480,6576, 3496,5552, + 3512,7600, 3528,5040, 3544,7088, 3560,6064, 3568,4016, 3576,8112, 3592,4208, + 3608,6256, 3624,5232, 3640,7280, 3656,4720, 3672,6768, 3688,5744, 3704,7792, + 3720,4464, 3736,6512, 3752,5488, 3768,7536, 3784,4976, 3800,7024, 3816,6000, + 3824,3952, 3832,8048, 3848,4336, 3864,6384, 3880,5360, 3896,7408, 3912,4848, + 3928,6896, 3944,5872, 3960,7920, 3976,4592, 3992,6640, 4008,5616, 4024,7664, + 4040,5104, 4056,7152, 4072,6128, 4088,8176, 4120,6152, 4136,5128, 4152,7176, + 4168,4616, 4184,6664, 4200,5640, 4216,7688, 4232,4360, 4248,6408, 4264,5384, + 4280,7432, 4296,4872, 4312,6920, 4328,5896, 4344,7944, 4376,6280, 4392,5256, + 4408,7304, 4424,4744, 4440,6792, 4456,5768, 4472,7816, 4504,6536, 4520,5512, + 4536,7560, 4552,5000, 4568,7048, 4584,6024, 4600,8072, 4632,6216, 4648,5192, + 4664,7240, 4696,6728, 4712,5704, 4728,7752, 4760,6472, 4776,5448, 4792,7496, + 4808,4936, 4824,6984, 4840,5960, 4856,8008, 4888,6344, 4904,5320, 4920,7368, + 4952,6856, 4968,5832, 4984,7880, 5016,6600, 5032,5576, 5048,7624, 5080,7112, + 5096,6088, 5112,8136, 5144,6184, 5176,7208, 5208,6696, 5224,5672, 5240,7720, + 5272,6440, 5288,5416, 5304,7464, 5336,6952, 5352,5928, 5368,7976, 5400,6312, + 5432,7336, 5464,6824, 5480,5800, 5496,7848, 5528,6568, 5560,7592, 5592,7080, + 5608,6056, 5624,8104, 5656,6248, 5688,7272, 5720,6760, 5752,7784, 5784,6504, + 5816,7528, 5848,7016, 5864,5992, 5880,8040, 5912,6376, 5944,7400, 5976,6888, + 6008,7912, 6040,6632, 6072,7656, 6104,7144, 6136,8168, 6200,7192, 6232,6680, + 6264,7704, 6296,6424, 6328,7448, 6360,6936, 6392,7960, 6456,7320, 6488,6808, + 6520,7832, 6584,7576, 6616,7064, 6648,8088, 6712,7256, 6776,7768, 6840,7512, + 6872,7000, 6904,8024, 6968,7384, 7032,7896, 7096,7640, 7160,8152, 7288,7736, + 7352,7480, 7416,7992, 7544,7864, 7672,8120, 7928,8056 +}; + +const uint16_t armBitRevIndexTable_fixed_2048[ARMBITREVINDEXTABLE_FIXED_2048_TABLE_LENGTH] = +{ + /* 4x2, size 1984 */ + 8,8192, 16,4096, 24,12288, 32,2048, 40,10240, 48,6144, 56,14336, 64,1024, + 72,9216, 80,5120, 88,13312, 96,3072, 104,11264, 112,7168, 120,15360, 128,512, + 136,8704, 144,4608, 152,12800, 160,2560, 168,10752, 176,6656, 184,14848, + 192,1536, 200,9728, 208,5632, 216,13824, 224,3584, 232,11776, 240,7680, + 248,15872, 264,8448, 272,4352, 280,12544, 288,2304, 296,10496, 304,6400, + 312,14592, 320,1280, 328,9472, 336,5376, 344,13568, 352,3328, 360,11520, + 368,7424, 376,15616, 384,768, 392,8960, 400,4864, 408,13056, 416,2816, + 424,11008, 432,6912, 440,15104, 448,1792, 456,9984, 464,5888, 472,14080, + 480,3840, 488,12032, 496,7936, 504,16128, 520,8320, 528,4224, 536,12416, + 544,2176, 552,10368, 560,6272, 568,14464, 576,1152, 584,9344, 592,5248, + 600,13440, 608,3200, 616,11392, 624,7296, 632,15488, 648,8832, 656,4736, + 664,12928, 672,2688, 680,10880, 688,6784, 696,14976, 704,1664, 712,9856, + 720,5760, 728,13952, 736,3712, 744,11904, 752,7808, 760,16000, 776,8576, + 784,4480, 792,12672, 800,2432, 808,10624, 816,6528, 824,14720, 832,1408, + 840,9600, 848,5504, 856,13696, 864,3456, 872,11648, 880,7552, 888,15744, + 904,9088, 912,4992, 920,13184, 928,2944, 936,11136, 944,7040, 952,15232, + 960,1920, 968,10112, 976,6016, 984,14208, 992,3968, 1000,12160, 1008,8064, + 1016,16256, 1032,8256, 1040,4160, 1048,12352, 1056,2112, 1064,10304, 1072,6208, + 1080,14400, 1096,9280, 1104,5184, 1112,13376, 1120,3136, 1128,11328, 1136,7232, + 1144,15424, 1160,8768, 1168,4672, 1176,12864, 1184,2624, 1192,10816, 1200,6720, + 1208,14912, 1216,1600, 1224,9792, 1232,5696, 1240,13888, 1248,3648, 1256,11840, + 1264,7744, 1272,15936, 1288,8512, 1296,4416, 1304,12608, 1312,2368, 1320,10560, + 1328,6464, 1336,14656, 1352,9536, 1360,5440, 1368,13632, 1376,3392, 1384,11584, + 1392,7488, 1400,15680, 1416,9024, 1424,4928, 1432,13120, 1440,2880, 1448,11072, + 1456,6976, 1464,15168, 1472,1856, 1480,10048, 1488,5952, 1496,14144, 1504,3904, + 1512,12096, 1520,8000, 1528,16192, 1544,8384, 1552,4288, 1560,12480, 1568,2240, + 1576,10432, 1584,6336, 1592,14528, 1608,9408, 1616,5312, 1624,13504, 1632,3264, + 1640,11456, 1648,7360, 1656,15552, 1672,8896, 1680,4800, 1688,12992, 1696,2752, + 1704,10944, 1712,6848, 1720,15040, 1736,9920, 1744,5824, 1752,14016, 1760,3776, + 1768,11968, 1776,7872, 1784,16064, 1800,8640, 1808,4544, 1816,12736, 1824,2496, + 1832,10688, 1840,6592, 1848,14784, 1864,9664, 1872,5568, 1880,13760, 1888,3520, + 1896,11712, 1904,7616, 1912,15808, 1928,9152, 1936,5056, 1944,13248, 1952,3008, + 1960,11200, 1968,7104, 1976,15296, 1992,10176, 2000,6080, 2008,14272, 2016,4032, + 2024,12224, 2032,8128, 2040,16320, 2056,8224, 2064,4128, 2072,12320, 2088,10272, + 2096,6176, 2104,14368, 2120,9248, 2128,5152, 2136,13344, 2144,3104, 2152,11296, + 2160,7200, 2168,15392, 2184,8736, 2192,4640, 2200,12832, 2208,2592, 2216,10784, + 2224,6688, 2232,14880, 2248,9760, 2256,5664, 2264,13856, 2272,3616, 2280,11808, + 2288,7712, 2296,15904, 2312,8480, 2320,4384, 2328,12576, 2344,10528, 2352,6432, + 2360,14624, 2376,9504, 2384,5408, 2392,13600, 2400,3360, 2408,11552, 2416,7456, + 2424,15648, 2440,8992, 2448,4896, 2456,13088, 2464,2848, 2472,11040, 2480,6944, + 2488,15136, 2504,10016, 2512,5920, 2520,14112, 2528,3872, 2536,12064, 2544,7968, + 2552,16160, 2568,8352, 2576,4256, 2584,12448, 2600,10400, 2608,6304, 2616,14496, + 2632,9376, 2640,5280, 2648,13472, 2656,3232, 2664,11424, 2672,7328, 2680,15520, + 2696,8864, 2704,4768, 2712,12960, 2728,10912, 2736,6816, 2744,15008, 2760,9888, + 2768,5792, 2776,13984, 2784,3744, 2792,11936, 2800,7840, 2808,16032, 2824,8608, + 2832,4512, 2840,12704, 2856,10656, 2864,6560, 2872,14752, 2888,9632, 2896,5536, + 2904,13728, 2912,3488, 2920,11680, 2928,7584, 2936,15776, 2952,9120, 2960,5024, + 2968,13216, 2984,11168, 2992,7072, 3000,15264, 3016,10144, 3024,6048, + 3032,14240, 3040,4000, 3048,12192, 3056,8096, 3064,16288, 3080,8288, 3088,4192, + 3096,12384, 3112,10336, 3120,6240, 3128,14432, 3144,9312, 3152,5216, 3160,13408, + 3176,11360, 3184,7264, 3192,15456, 3208,8800, 3216,4704, 3224,12896, 3240,10848, + 3248,6752, 3256,14944, 3272,9824, 3280,5728, 3288,13920, 3296,3680, 3304,11872, + 3312,7776, 3320,15968, 3336,8544, 3344,4448, 3352,12640, 3368,10592, 3376,6496, + 3384,14688, 3400,9568, 3408,5472, 3416,13664, 3432,11616, 3440,7520, 3448,15712, + 3464,9056, 3472,4960, 3480,13152, 3496,11104, 3504,7008, 3512,15200, 3528,10080, + 3536,5984, 3544,14176, 3552,3936, 3560,12128, 3568,8032, 3576,16224, 3592,8416, + 3600,4320, 3608,12512, 3624,10464, 3632,6368, 3640,14560, 3656,9440, 3664,5344, + 3672,13536, 3688,11488, 3696,7392, 3704,15584, 3720,8928, 3728,4832, 3736,13024, + 3752,10976, 3760,6880, 3768,15072, 3784,9952, 3792,5856, 3800,14048, 3816,12000, + 3824,7904, 3832,16096, 3848,8672, 3856,4576, 3864,12768, 3880,10720, 3888,6624, + 3896,14816, 3912,9696, 3920,5600, 3928,13792, 3944,11744, 3952,7648, 3960,15840, + 3976,9184, 3984,5088, 3992,13280, 4008,11232, 4016,7136, 4024,15328, 4040,10208, + 4048,6112, 4056,14304, 4072,12256, 4080,8160, 4088,16352, 4104,8208, 4120,12304, + 4136,10256, 4144,6160, 4152,14352, 4168,9232, 4176,5136, 4184,13328, 4200,11280, + 4208,7184, 4216,15376, 4232,8720, 4240,4624, 4248,12816, 4264,10768, 4272,6672, + 4280,14864, 4296,9744, 4304,5648, 4312,13840, 4328,11792, 4336,7696, 4344,15888, + 4360,8464, 4376,12560, 4392,10512, 4400,6416, 4408,14608, 4424,9488, 4432,5392, + 4440,13584, 4456,11536, 4464,7440, 4472,15632, 4488,8976, 4496,4880, 4504,13072, + 4520,11024, 4528,6928, 4536,15120, 4552,10000, 4560,5904, 4568,14096, + 4584,12048, 4592,7952, 4600,16144, 4616,8336, 4632,12432, 4648,10384, 4656,6288, + 4664,14480, 4680,9360, 4688,5264, 4696,13456, 4712,11408, 4720,7312, 4728,15504, + 4744,8848, 4760,12944, 4776,10896, 4784,6800, 4792,14992, 4808,9872, 4816,5776, + 4824,13968, 4840,11920, 4848,7824, 4856,16016, 4872,8592, 4888,12688, + 4904,10640, 4912,6544, 4920,14736, 4936,9616, 4944,5520, 4952,13712, 4968,11664, + 4976,7568, 4984,15760, 5000,9104, 5016,13200, 5032,11152, 5040,7056, 5048,15248, + 5064,10128, 5072,6032, 5080,14224, 5096,12176, 5104,8080, 5112,16272, 5128,8272, + 5144,12368, 5160,10320, 5168,6224, 5176,14416, 5192,9296, 5208,13392, + 5224,11344, 5232,7248, 5240,15440, 5256,8784, 5272,12880, 5288,10832, 5296,6736, + 5304,14928, 5320,9808, 5328,5712, 5336,13904, 5352,11856, 5360,7760, 5368,15952, + 5384,8528, 5400,12624, 5416,10576, 5424,6480, 5432,14672, 5448,9552, 5464,13648, + 5480,11600, 5488,7504, 5496,15696, 5512,9040, 5528,13136, 5544,11088, 5552,6992, + 5560,15184, 5576,10064, 5584,5968, 5592,14160, 5608,12112, 5616,8016, + 5624,16208, 5640,8400, 5656,12496, 5672,10448, 5680,6352, 5688,14544, 5704,9424, + 5720,13520, 5736,11472, 5744,7376, 5752,15568, 5768,8912, 5784,13008, + 5800,10960, 5808,6864, 5816,15056, 5832,9936, 5848,14032, 5864,11984, 5872,7888, + 5880,16080, 5896,8656, 5912,12752, 5928,10704, 5936,6608, 5944,14800, 5960,9680, + 5976,13776, 5992,11728, 6000,7632, 6008,15824, 6024,9168, 6040,13264, + 6056,11216, 6064,7120, 6072,15312, 6088,10192, 6104,14288, 6120,12240, + 6128,8144, 6136,16336, 6152,8240, 6168,12336, 6184,10288, 6200,14384, 6216,9264, + 6232,13360, 6248,11312, 6256,7216, 6264,15408, 6280,8752, 6296,12848, + 6312,10800, 6320,6704, 6328,14896, 6344,9776, 6360,13872, 6376,11824, 6384,7728, + 6392,15920, 6408,8496, 6424,12592, 6440,10544, 6456,14640, 6472,9520, + 6488,13616, 6504,11568, 6512,7472, 6520,15664, 6536,9008, 6552,13104, + 6568,11056, 6576,6960, 6584,15152, 6600,10032, 6616,14128, 6632,12080, + 6640,7984, 6648,16176, 6664,8368, 6680,12464, 6696,10416, 6712,14512, 6728,9392, + 6744,13488, 6760,11440, 6768,7344, 6776,15536, 6792,8880, 6808,12976, + 6824,10928, 6840,15024, 6856,9904, 6872,14000, 6888,11952, 6896,7856, + 6904,16048, 6920,8624, 6936,12720, 6952,10672, 6968,14768, 6984,9648, + 7000,13744, 7016,11696, 7024,7600, 7032,15792, 7048,9136, 7064,13232, + 7080,11184, 7096,15280, 7112,10160, 7128,14256, 7144,12208, 7152,8112, + 7160,16304, 7176,8304, 7192,12400, 7208,10352, 7224,14448, 7240,9328, + 7256,13424, 7272,11376, 7288,15472, 7304,8816, 7320,12912, 7336,10864, + 7352,14960, 7368,9840, 7384,13936, 7400,11888, 7408,7792, 7416,15984, 7432,8560, + 7448,12656, 7464,10608, 7480,14704, 7496,9584, 7512,13680, 7528,11632, + 7544,15728, 7560,9072, 7576,13168, 7592,11120, 7608,15216, 7624,10096, + 7640,14192, 7656,12144, 7664,8048, 7672,16240, 7688,8432, 7704,12528, + 7720,10480, 7736,14576, 7752,9456, 7768,13552, 7784,11504, 7800,15600, + 7816,8944, 7832,13040, 7848,10992, 7864,15088, 7880,9968, 7896,14064, + 7912,12016, 7928,16112, 7944,8688, 7960,12784, 7976,10736, 7992,14832, + 8008,9712, 8024,13808, 8040,11760, 8056,15856, 8072,9200, 8088,13296, + 8104,11248, 8120,15344, 8136,10224, 8152,14320, 8168,12272, 8184,16368, + 8216,12296, 8232,10248, 8248,14344, 8264,9224, 8280,13320, 8296,11272, + 8312,15368, 8328,8712, 8344,12808, 8360,10760, 8376,14856, 8392,9736, + 8408,13832, 8424,11784, 8440,15880, 8472,12552, 8488,10504, 8504,14600, + 8520,9480, 8536,13576, 8552,11528, 8568,15624, 8584,8968, 8600,13064, + 8616,11016, 8632,15112, 8648,9992, 8664,14088, 8680,12040, 8696,16136, + 8728,12424, 8744,10376, 8760,14472, 8776,9352, 8792,13448, 8808,11400, + 8824,15496, 8856,12936, 8872,10888, 8888,14984, 8904,9864, 8920,13960, + 8936,11912, 8952,16008, 8984,12680, 9000,10632, 9016,14728, 9032,9608, + 9048,13704, 9064,11656, 9080,15752, 9112,13192, 9128,11144, 9144,15240, + 9160,10120, 9176,14216, 9192,12168, 9208,16264, 9240,12360, 9256,10312, + 9272,14408, 9304,13384, 9320,11336, 9336,15432, 9368,12872, 9384,10824, + 9400,14920, 9416,9800, 9432,13896, 9448,11848, 9464,15944, 9496,12616, + 9512,10568, 9528,14664, 9560,13640, 9576,11592, 9592,15688, 9624,13128, + 9640,11080, 9656,15176, 9672,10056, 9688,14152, 9704,12104, 9720,16200, + 9752,12488, 9768,10440, 9784,14536, 9816,13512, 9832,11464, 9848,15560, + 9880,13000, 9896,10952, 9912,15048, 9944,14024, 9960,11976, 9976,16072, + 10008,12744, 10024,10696, 10040,14792, 10072,13768, 10088,11720, 10104,15816, + 10136,13256, 10152,11208, 10168,15304, 10200,14280, 10216,12232, 10232,16328, + 10264,12328, 10296,14376, 10328,13352, 10344,11304, 10360,15400, 10392,12840, + 10408,10792, 10424,14888, 10456,13864, 10472,11816, 10488,15912, 10520,12584, + 10552,14632, 10584,13608, 10600,11560, 10616,15656, 10648,13096, 10664,11048, + 10680,15144, 10712,14120, 10728,12072, 10744,16168, 10776,12456, 10808,14504, + 10840,13480, 10856,11432, 10872,15528, 10904,12968, 10936,15016, 10968,13992, + 10984,11944, 11000,16040, 11032,12712, 11064,14760, 11096,13736, 11112,11688, + 11128,15784, 11160,13224, 11192,15272, 11224,14248, 11240,12200, 11256,16296, + 11288,12392, 11320,14440, 11352,13416, 11384,15464, 11416,12904, 11448,14952, + 11480,13928, 11496,11880, 11512,15976, 11544,12648, 11576,14696, 11608,13672, + 11640,15720, 11672,13160, 11704,15208, 11736,14184, 11752,12136, 11768,16232, + 11800,12520, 11832,14568, 11864,13544, 11896,15592, 11928,13032, 11960,15080, + 11992,14056, 12024,16104, 12056,12776, 12088,14824, 12120,13800, 12152,15848, + 12184,13288, 12216,15336, 12248,14312, 12280,16360, 12344,14360, 12376,13336, + 12408,15384, 12440,12824, 12472,14872, 12504,13848, 12536,15896, 12600,14616, + 12632,13592, 12664,15640, 12696,13080, 12728,15128, 12760,14104, 12792,16152, + 12856,14488, 12888,13464, 12920,15512, 12984,15000, 13016,13976, 13048,16024, + 13112,14744, 13144,13720, 13176,15768, 13240,15256, 13272,14232, 13304,16280, + 13368,14424, 13432,15448, 13496,14936, 13528,13912, 13560,15960, 13624,14680, + 13688,15704, 13752,15192, 13784,14168, 13816,16216, 13880,14552, 13944,15576, + 14008,15064, 14072,16088, 14136,14808, 14200,15832, 14264,15320, 14328,16344, + 14456,15416, 14520,14904, 14584,15928, 14712,15672, 14776,15160, 14840,16184, + 14968,15544, 15096,16056, 15224,15800, 15352,16312, 15608,15992, 15864,16248 +}; + +const uint16_t armBitRevIndexTable_fixed_4096[ARMBITREVINDEXTABLE_FIXED_4096_TABLE_LENGTH] = +{ + /* radix 4, size 4032 */ + 8,16384, 16,8192, 24,24576, 32,4096, 40,20480, 48,12288, 56,28672, 64,2048, + 72,18432, 80,10240, 88,26624, 96,6144, 104,22528, 112,14336, 120,30720, + 128,1024, 136,17408, 144,9216, 152,25600, 160,5120, 168,21504, 176,13312, + 184,29696, 192,3072, 200,19456, 208,11264, 216,27648, 224,7168, 232,23552, + 240,15360, 248,31744, 256,512, 264,16896, 272,8704, 280,25088, 288,4608, + 296,20992, 304,12800, 312,29184, 320,2560, 328,18944, 336,10752, 344,27136, + 352,6656, 360,23040, 368,14848, 376,31232, 384,1536, 392,17920, 400,9728, + 408,26112, 416,5632, 424,22016, 432,13824, 440,30208, 448,3584, 456,19968, + 464,11776, 472,28160, 480,7680, 488,24064, 496,15872, 504,32256, 520,16640, + 528,8448, 536,24832, 544,4352, 552,20736, 560,12544, 568,28928, 576,2304, + 584,18688, 592,10496, 600,26880, 608,6400, 616,22784, 624,14592, 632,30976, + 640,1280, 648,17664, 656,9472, 664,25856, 672,5376, 680,21760, 688,13568, + 696,29952, 704,3328, 712,19712, 720,11520, 728,27904, 736,7424, 744,23808, + 752,15616, 760,32000, 776,17152, 784,8960, 792,25344, 800,4864, 808,21248, + 816,13056, 824,29440, 832,2816, 840,19200, 848,11008, 856,27392, 864,6912, + 872,23296, 880,15104, 888,31488, 896,1792, 904,18176, 912,9984, 920,26368, + 928,5888, 936,22272, 944,14080, 952,30464, 960,3840, 968,20224, 976,12032, + 984,28416, 992,7936, 1000,24320, 1008,16128, 1016,32512, 1032,16512, 1040,8320, + 1048,24704, 1056,4224, 1064,20608, 1072,12416, 1080,28800, 1088,2176, + 1096,18560, 1104,10368, 1112,26752, 1120,6272, 1128,22656, 1136,14464, + 1144,30848, 1160,17536, 1168,9344, 1176,25728, 1184,5248, 1192,21632, + 1200,13440, 1208,29824, 1216,3200, 1224,19584, 1232,11392, 1240,27776, + 1248,7296, 1256,23680, 1264,15488, 1272,31872, 1288,17024, 1296,8832, + 1304,25216, 1312,4736, 1320,21120, 1328,12928, 1336,29312, 1344,2688, + 1352,19072, 1360,10880, 1368,27264, 1376,6784, 1384,23168, 1392,14976, + 1400,31360, 1408,1664, 1416,18048, 1424,9856, 1432,26240, 1440,5760, 1448,22144, + 1456,13952, 1464,30336, 1472,3712, 1480,20096, 1488,11904, 1496,28288, + 1504,7808, 1512,24192, 1520,16000, 1528,32384, 1544,16768, 1552,8576, + 1560,24960, 1568,4480, 1576,20864, 1584,12672, 1592,29056, 1600,2432, + 1608,18816, 1616,10624, 1624,27008, 1632,6528, 1640,22912, 1648,14720, + 1656,31104, 1672,17792, 1680,9600, 1688,25984, 1696,5504, 1704,21888, + 1712,13696, 1720,30080, 1728,3456, 1736,19840, 1744,11648, 1752,28032, + 1760,7552, 1768,23936, 1776,15744, 1784,32128, 1800,17280, 1808,9088, + 1816,25472, 1824,4992, 1832,21376, 1840,13184, 1848,29568, 1856,2944, + 1864,19328, 1872,11136, 1880,27520, 1888,7040, 1896,23424, 1904,15232, + 1912,31616, 1928,18304, 1936,10112, 1944,26496, 1952,6016, 1960,22400, + 1968,14208, 1976,30592, 1984,3968, 1992,20352, 2000,12160, 2008,28544, + 2016,8064, 2024,24448, 2032,16256, 2040,32640, 2056,16448, 2064,8256, + 2072,24640, 2080,4160, 2088,20544, 2096,12352, 2104,28736, 2120,18496, + 2128,10304, 2136,26688, 2144,6208, 2152,22592, 2160,14400, 2168,30784, + 2184,17472, 2192,9280, 2200,25664, 2208,5184, 2216,21568, 2224,13376, + 2232,29760, 2240,3136, 2248,19520, 2256,11328, 2264,27712, 2272,7232, + 2280,23616, 2288,15424, 2296,31808, 2312,16960, 2320,8768, 2328,25152, + 2336,4672, 2344,21056, 2352,12864, 2360,29248, 2368,2624, 2376,19008, + 2384,10816, 2392,27200, 2400,6720, 2408,23104, 2416,14912, 2424,31296, + 2440,17984, 2448,9792, 2456,26176, 2464,5696, 2472,22080, 2480,13888, + 2488,30272, 2496,3648, 2504,20032, 2512,11840, 2520,28224, 2528,7744, + 2536,24128, 2544,15936, 2552,32320, 2568,16704, 2576,8512, 2584,24896, + 2592,4416, 2600,20800, 2608,12608, 2616,28992, 2632,18752, 2640,10560, + 2648,26944, 2656,6464, 2664,22848, 2672,14656, 2680,31040, 2696,17728, + 2704,9536, 2712,25920, 2720,5440, 2728,21824, 2736,13632, 2744,30016, 2752,3392, + 2760,19776, 2768,11584, 2776,27968, 2784,7488, 2792,23872, 2800,15680, + 2808,32064, 2824,17216, 2832,9024, 2840,25408, 2848,4928, 2856,21312, + 2864,13120, 2872,29504, 2888,19264, 2896,11072, 2904,27456, 2912,6976, + 2920,23360, 2928,15168, 2936,31552, 2952,18240, 2960,10048, 2968,26432, + 2976,5952, 2984,22336, 2992,14144, 3000,30528, 3008,3904, 3016,20288, + 3024,12096, 3032,28480, 3040,8000, 3048,24384, 3056,16192, 3064,32576, + 3080,16576, 3088,8384, 3096,24768, 3104,4288, 3112,20672, 3120,12480, + 3128,28864, 3144,18624, 3152,10432, 3160,26816, 3168,6336, 3176,22720, + 3184,14528, 3192,30912, 3208,17600, 3216,9408, 3224,25792, 3232,5312, + 3240,21696, 3248,13504, 3256,29888, 3272,19648, 3280,11456, 3288,27840, + 3296,7360, 3304,23744, 3312,15552, 3320,31936, 3336,17088, 3344,8896, + 3352,25280, 3360,4800, 3368,21184, 3376,12992, 3384,29376, 3400,19136, + 3408,10944, 3416,27328, 3424,6848, 3432,23232, 3440,15040, 3448,31424, + 3464,18112, 3472,9920, 3480,26304, 3488,5824, 3496,22208, 3504,14016, + 3512,30400, 3520,3776, 3528,20160, 3536,11968, 3544,28352, 3552,7872, + 3560,24256, 3568,16064, 3576,32448, 3592,16832, 3600,8640, 3608,25024, + 3616,4544, 3624,20928, 3632,12736, 3640,29120, 3656,18880, 3664,10688, + 3672,27072, 3680,6592, 3688,22976, 3696,14784, 3704,31168, 3720,17856, + 3728,9664, 3736,26048, 3744,5568, 3752,21952, 3760,13760, 3768,30144, + 3784,19904, 3792,11712, 3800,28096, 3808,7616, 3816,24000, 3824,15808, + 3832,32192, 3848,17344, 3856,9152, 3864,25536, 3872,5056, 3880,21440, + 3888,13248, 3896,29632, 3912,19392, 3920,11200, 3928,27584, 3936,7104, + 3944,23488, 3952,15296, 3960,31680, 3976,18368, 3984,10176, 3992,26560, + 4000,6080, 4008,22464, 4016,14272, 4024,30656, 4040,20416, 4048,12224, + 4056,28608, 4064,8128, 4072,24512, 4080,16320, 4088,32704, 4104,16416, + 4112,8224, 4120,24608, 4136,20512, 4144,12320, 4152,28704, 4168,18464, + 4176,10272, 4184,26656, 4192,6176, 4200,22560, 4208,14368, 4216,30752, + 4232,17440, 4240,9248, 4248,25632, 4256,5152, 4264,21536, 4272,13344, + 4280,29728, 4296,19488, 4304,11296, 4312,27680, 4320,7200, 4328,23584, + 4336,15392, 4344,31776, 4360,16928, 4368,8736, 4376,25120, 4384,4640, + 4392,21024, 4400,12832, 4408,29216, 4424,18976, 4432,10784, 4440,27168, + 4448,6688, 4456,23072, 4464,14880, 4472,31264, 4488,17952, 4496,9760, + 4504,26144, 4512,5664, 4520,22048, 4528,13856, 4536,30240, 4552,20000, + 4560,11808, 4568,28192, 4576,7712, 4584,24096, 4592,15904, 4600,32288, + 4616,16672, 4624,8480, 4632,24864, 4648,20768, 4656,12576, 4664,28960, + 4680,18720, 4688,10528, 4696,26912, 4704,6432, 4712,22816, 4720,14624, + 4728,31008, 4744,17696, 4752,9504, 4760,25888, 4768,5408, 4776,21792, + 4784,13600, 4792,29984, 4808,19744, 4816,11552, 4824,27936, 4832,7456, + 4840,23840, 4848,15648, 4856,32032, 4872,17184, 4880,8992, 4888,25376, + 4904,21280, 4912,13088, 4920,29472, 4936,19232, 4944,11040, 4952,27424, + 4960,6944, 4968,23328, 4976,15136, 4984,31520, 5000,18208, 5008,10016, + 5016,26400, 5024,5920, 5032,22304, 5040,14112, 5048,30496, 5064,20256, + 5072,12064, 5080,28448, 5088,7968, 5096,24352, 5104,16160, 5112,32544, + 5128,16544, 5136,8352, 5144,24736, 5160,20640, 5168,12448, 5176,28832, + 5192,18592, 5200,10400, 5208,26784, 5216,6304, 5224,22688, 5232,14496, + 5240,30880, 5256,17568, 5264,9376, 5272,25760, 5288,21664, 5296,13472, + 5304,29856, 5320,19616, 5328,11424, 5336,27808, 5344,7328, 5352,23712, + 5360,15520, 5368,31904, 5384,17056, 5392,8864, 5400,25248, 5416,21152, + 5424,12960, 5432,29344, 5448,19104, 5456,10912, 5464,27296, 5472,6816, + 5480,23200, 5488,15008, 5496,31392, 5512,18080, 5520,9888, 5528,26272, + 5536,5792, 5544,22176, 5552,13984, 5560,30368, 5576,20128, 5584,11936, + 5592,28320, 5600,7840, 5608,24224, 5616,16032, 5624,32416, 5640,16800, + 5648,8608, 5656,24992, 5672,20896, 5680,12704, 5688,29088, 5704,18848, + 5712,10656, 5720,27040, 5728,6560, 5736,22944, 5744,14752, 5752,31136, + 5768,17824, 5776,9632, 5784,26016, 5800,21920, 5808,13728, 5816,30112, + 5832,19872, 5840,11680, 5848,28064, 5856,7584, 5864,23968, 5872,15776, + 5880,32160, 5896,17312, 5904,9120, 5912,25504, 5928,21408, 5936,13216, + 5944,29600, 5960,19360, 5968,11168, 5976,27552, 5984,7072, 5992,23456, + 6000,15264, 6008,31648, 6024,18336, 6032,10144, 6040,26528, 6056,22432, + 6064,14240, 6072,30624, 6088,20384, 6096,12192, 6104,28576, 6112,8096, + 6120,24480, 6128,16288, 6136,32672, 6152,16480, 6160,8288, 6168,24672, + 6184,20576, 6192,12384, 6200,28768, 6216,18528, 6224,10336, 6232,26720, + 6248,22624, 6256,14432, 6264,30816, 6280,17504, 6288,9312, 6296,25696, + 6312,21600, 6320,13408, 6328,29792, 6344,19552, 6352,11360, 6360,27744, + 6368,7264, 6376,23648, 6384,15456, 6392,31840, 6408,16992, 6416,8800, + 6424,25184, 6440,21088, 6448,12896, 6456,29280, 6472,19040, 6480,10848, + 6488,27232, 6496,6752, 6504,23136, 6512,14944, 6520,31328, 6536,18016, + 6544,9824, 6552,26208, 6568,22112, 6576,13920, 6584,30304, 6600,20064, + 6608,11872, 6616,28256, 6624,7776, 6632,24160, 6640,15968, 6648,32352, + 6664,16736, 6672,8544, 6680,24928, 6696,20832, 6704,12640, 6712,29024, + 6728,18784, 6736,10592, 6744,26976, 6760,22880, 6768,14688, 6776,31072, + 6792,17760, 6800,9568, 6808,25952, 6824,21856, 6832,13664, 6840,30048, + 6856,19808, 6864,11616, 6872,28000, 6880,7520, 6888,23904, 6896,15712, + 6904,32096, 6920,17248, 6928,9056, 6936,25440, 6952,21344, 6960,13152, + 6968,29536, 6984,19296, 6992,11104, 7000,27488, 7016,23392, 7024,15200, + 7032,31584, 7048,18272, 7056,10080, 7064,26464, 7080,22368, 7088,14176, + 7096,30560, 7112,20320, 7120,12128, 7128,28512, 7136,8032, 7144,24416, + 7152,16224, 7160,32608, 7176,16608, 7184,8416, 7192,24800, 7208,20704, + 7216,12512, 7224,28896, 7240,18656, 7248,10464, 7256,26848, 7272,22752, + 7280,14560, 7288,30944, 7304,17632, 7312,9440, 7320,25824, 7336,21728, + 7344,13536, 7352,29920, 7368,19680, 7376,11488, 7384,27872, 7400,23776, + 7408,15584, 7416,31968, 7432,17120, 7440,8928, 7448,25312, 7464,21216, + 7472,13024, 7480,29408, 7496,19168, 7504,10976, 7512,27360, 7528,23264, + 7536,15072, 7544,31456, 7560,18144, 7568,9952, 7576,26336, 7592,22240, + 7600,14048, 7608,30432, 7624,20192, 7632,12000, 7640,28384, 7648,7904, + 7656,24288, 7664,16096, 7672,32480, 7688,16864, 7696,8672, 7704,25056, + 7720,20960, 7728,12768, 7736,29152, 7752,18912, 7760,10720, 7768,27104, + 7784,23008, 7792,14816, 7800,31200, 7816,17888, 7824,9696, 7832,26080, + 7848,21984, 7856,13792, 7864,30176, 7880,19936, 7888,11744, 7896,28128, + 7912,24032, 7920,15840, 7928,32224, 7944,17376, 7952,9184, 7960,25568, + 7976,21472, 7984,13280, 7992,29664, 8008,19424, 8016,11232, 8024,27616, + 8040,23520, 8048,15328, 8056,31712, 8072,18400, 8080,10208, 8088,26592, + 8104,22496, 8112,14304, 8120,30688, 8136,20448, 8144,12256, 8152,28640, + 8168,24544, 8176,16352, 8184,32736, 8200,16400, 8216,24592, 8232,20496, + 8240,12304, 8248,28688, 8264,18448, 8272,10256, 8280,26640, 8296,22544, + 8304,14352, 8312,30736, 8328,17424, 8336,9232, 8344,25616, 8360,21520, + 8368,13328, 8376,29712, 8392,19472, 8400,11280, 8408,27664, 8424,23568, + 8432,15376, 8440,31760, 8456,16912, 8464,8720, 8472,25104, 8488,21008, + 8496,12816, 8504,29200, 8520,18960, 8528,10768, 8536,27152, 8552,23056, + 8560,14864, 8568,31248, 8584,17936, 8592,9744, 8600,26128, 8616,22032, + 8624,13840, 8632,30224, 8648,19984, 8656,11792, 8664,28176, 8680,24080, + 8688,15888, 8696,32272, 8712,16656, 8728,24848, 8744,20752, 8752,12560, + 8760,28944, 8776,18704, 8784,10512, 8792,26896, 8808,22800, 8816,14608, + 8824,30992, 8840,17680, 8848,9488, 8856,25872, 8872,21776, 8880,13584, + 8888,29968, 8904,19728, 8912,11536, 8920,27920, 8936,23824, 8944,15632, + 8952,32016, 8968,17168, 8984,25360, 9000,21264, 9008,13072, 9016,29456, + 9032,19216, 9040,11024, 9048,27408, 9064,23312, 9072,15120, 9080,31504, + 9096,18192, 9104,10000, 9112,26384, 9128,22288, 9136,14096, 9144,30480, + 9160,20240, 9168,12048, 9176,28432, 9192,24336, 9200,16144, 9208,32528, + 9224,16528, 9240,24720, 9256,20624, 9264,12432, 9272,28816, 9288,18576, + 9296,10384, 9304,26768, 9320,22672, 9328,14480, 9336,30864, 9352,17552, + 9368,25744, 9384,21648, 9392,13456, 9400,29840, 9416,19600, 9424,11408, + 9432,27792, 9448,23696, 9456,15504, 9464,31888, 9480,17040, 9496,25232, + 9512,21136, 9520,12944, 9528,29328, 9544,19088, 9552,10896, 9560,27280, + 9576,23184, 9584,14992, 9592,31376, 9608,18064, 9616,9872, 9624,26256, + 9640,22160, 9648,13968, 9656,30352, 9672,20112, 9680,11920, 9688,28304, + 9704,24208, 9712,16016, 9720,32400, 9736,16784, 9752,24976, 9768,20880, + 9776,12688, 9784,29072, 9800,18832, 9808,10640, 9816,27024, 9832,22928, + 9840,14736, 9848,31120, 9864,17808, 9880,26000, 9896,21904, 9904,13712, + 9912,30096, 9928,19856, 9936,11664, 9944,28048, 9960,23952, 9968,15760, + 9976,32144, 9992,17296, 10008,25488, 10024,21392, 10032,13200, 10040,29584, + 10056,19344, 10064,11152, 10072,27536, 10088,23440, 10096,15248, 10104,31632, + 10120,18320, 10136,26512, 10152,22416, 10160,14224, 10168,30608, 10184,20368, + 10192,12176, 10200,28560, 10216,24464, 10224,16272, 10232,32656, 10248,16464, + 10264,24656, 10280,20560, 10288,12368, 10296,28752, 10312,18512, 10328,26704, + 10344,22608, 10352,14416, 10360,30800, 10376,17488, 10392,25680, 10408,21584, + 10416,13392, 10424,29776, 10440,19536, 10448,11344, 10456,27728, 10472,23632, + 10480,15440, 10488,31824, 10504,16976, 10520,25168, 10536,21072, 10544,12880, + 10552,29264, 10568,19024, 10576,10832, 10584,27216, 10600,23120, 10608,14928, + 10616,31312, 10632,18000, 10648,26192, 10664,22096, 10672,13904, 10680,30288, + 10696,20048, 10704,11856, 10712,28240, 10728,24144, 10736,15952, 10744,32336, + 10760,16720, 10776,24912, 10792,20816, 10800,12624, 10808,29008, 10824,18768, + 10840,26960, 10856,22864, 10864,14672, 10872,31056, 10888,17744, 10904,25936, + 10920,21840, 10928,13648, 10936,30032, 10952,19792, 10960,11600, 10968,27984, + 10984,23888, 10992,15696, 11000,32080, 11016,17232, 11032,25424, 11048,21328, + 11056,13136, 11064,29520, 11080,19280, 11096,27472, 11112,23376, 11120,15184, + 11128,31568, 11144,18256, 11160,26448, 11176,22352, 11184,14160, 11192,30544, + 11208,20304, 11216,12112, 11224,28496, 11240,24400, 11248,16208, 11256,32592, + 11272,16592, 11288,24784, 11304,20688, 11312,12496, 11320,28880, 11336,18640, + 11352,26832, 11368,22736, 11376,14544, 11384,30928, 11400,17616, 11416,25808, + 11432,21712, 11440,13520, 11448,29904, 11464,19664, 11480,27856, 11496,23760, + 11504,15568, 11512,31952, 11528,17104, 11544,25296, 11560,21200, 11568,13008, + 11576,29392, 11592,19152, 11608,27344, 11624,23248, 11632,15056, 11640,31440, + 11656,18128, 11672,26320, 11688,22224, 11696,14032, 11704,30416, 11720,20176, + 11728,11984, 11736,28368, 11752,24272, 11760,16080, 11768,32464, 11784,16848, + 11800,25040, 11816,20944, 11824,12752, 11832,29136, 11848,18896, 11864,27088, + 11880,22992, 11888,14800, 11896,31184, 11912,17872, 11928,26064, 11944,21968, + 11952,13776, 11960,30160, 11976,19920, 11992,28112, 12008,24016, 12016,15824, + 12024,32208, 12040,17360, 12056,25552, 12072,21456, 12080,13264, 12088,29648, + 12104,19408, 12120,27600, 12136,23504, 12144,15312, 12152,31696, 12168,18384, + 12184,26576, 12200,22480, 12208,14288, 12216,30672, 12232,20432, 12248,28624, + 12264,24528, 12272,16336, 12280,32720, 12296,16432, 12312,24624, 12328,20528, + 12344,28720, 12360,18480, 12376,26672, 12392,22576, 12400,14384, 12408,30768, + 12424,17456, 12440,25648, 12456,21552, 12464,13360, 12472,29744, 12488,19504, + 12504,27696, 12520,23600, 12528,15408, 12536,31792, 12552,16944, 12568,25136, + 12584,21040, 12592,12848, 12600,29232, 12616,18992, 12632,27184, 12648,23088, + 12656,14896, 12664,31280, 12680,17968, 12696,26160, 12712,22064, 12720,13872, + 12728,30256, 12744,20016, 12760,28208, 12776,24112, 12784,15920, 12792,32304, + 12808,16688, 12824,24880, 12840,20784, 12856,28976, 12872,18736, 12888,26928, + 12904,22832, 12912,14640, 12920,31024, 12936,17712, 12952,25904, 12968,21808, + 12976,13616, 12984,30000, 13000,19760, 13016,27952, 13032,23856, 13040,15664, + 13048,32048, 13064,17200, 13080,25392, 13096,21296, 13112,29488, 13128,19248, + 13144,27440, 13160,23344, 13168,15152, 13176,31536, 13192,18224, 13208,26416, + 13224,22320, 13232,14128, 13240,30512, 13256,20272, 13272,28464, 13288,24368, + 13296,16176, 13304,32560, 13320,16560, 13336,24752, 13352,20656, 13368,28848, + 13384,18608, 13400,26800, 13416,22704, 13424,14512, 13432,30896, 13448,17584, + 13464,25776, 13480,21680, 13496,29872, 13512,19632, 13528,27824, 13544,23728, + 13552,15536, 13560,31920, 13576,17072, 13592,25264, 13608,21168, 13624,29360, + 13640,19120, 13656,27312, 13672,23216, 13680,15024, 13688,31408, 13704,18096, + 13720,26288, 13736,22192, 13744,14000, 13752,30384, 13768,20144, 13784,28336, + 13800,24240, 13808,16048, 13816,32432, 13832,16816, 13848,25008, 13864,20912, + 13880,29104, 13896,18864, 13912,27056, 13928,22960, 13936,14768, 13944,31152, + 13960,17840, 13976,26032, 13992,21936, 14008,30128, 14024,19888, 14040,28080, + 14056,23984, 14064,15792, 14072,32176, 14088,17328, 14104,25520, 14120,21424, + 14136,29616, 14152,19376, 14168,27568, 14184,23472, 14192,15280, 14200,31664, + 14216,18352, 14232,26544, 14248,22448, 14264,30640, 14280,20400, 14296,28592, + 14312,24496, 14320,16304, 14328,32688, 14344,16496, 14360,24688, 14376,20592, + 14392,28784, 14408,18544, 14424,26736, 14440,22640, 14456,30832, 14472,17520, + 14488,25712, 14504,21616, 14520,29808, 14536,19568, 14552,27760, 14568,23664, + 14576,15472, 14584,31856, 14600,17008, 14616,25200, 14632,21104, 14648,29296, + 14664,19056, 14680,27248, 14696,23152, 14704,14960, 14712,31344, 14728,18032, + 14744,26224, 14760,22128, 14776,30320, 14792,20080, 14808,28272, 14824,24176, + 14832,15984, 14840,32368, 14856,16752, 14872,24944, 14888,20848, 14904,29040, + 14920,18800, 14936,26992, 14952,22896, 14968,31088, 14984,17776, 15000,25968, + 15016,21872, 15032,30064, 15048,19824, 15064,28016, 15080,23920, 15088,15728, + 15096,32112, 15112,17264, 15128,25456, 15144,21360, 15160,29552, 15176,19312, + 15192,27504, 15208,23408, 15224,31600, 15240,18288, 15256,26480, 15272,22384, + 15288,30576, 15304,20336, 15320,28528, 15336,24432, 15344,16240, 15352,32624, + 15368,16624, 15384,24816, 15400,20720, 15416,28912, 15432,18672, 15448,26864, + 15464,22768, 15480,30960, 15496,17648, 15512,25840, 15528,21744, 15544,29936, + 15560,19696, 15576,27888, 15592,23792, 15608,31984, 15624,17136, 15640,25328, + 15656,21232, 15672,29424, 15688,19184, 15704,27376, 15720,23280, 15736,31472, + 15752,18160, 15768,26352, 15784,22256, 15800,30448, 15816,20208, 15832,28400, + 15848,24304, 15856,16112, 15864,32496, 15880,16880, 15896,25072, 15912,20976, + 15928,29168, 15944,18928, 15960,27120, 15976,23024, 15992,31216, 16008,17904, + 16024,26096, 16040,22000, 16056,30192, 16072,19952, 16088,28144, 16104,24048, + 16120,32240, 16136,17392, 16152,25584, 16168,21488, 16184,29680, 16200,19440, + 16216,27632, 16232,23536, 16248,31728, 16264,18416, 16280,26608, 16296,22512, + 16312,30704, 16328,20464, 16344,28656, 16360,24560, 16376,32752, 16408,24584, + 16424,20488, 16440,28680, 16456,18440, 16472,26632, 16488,22536, 16504,30728, + 16520,17416, 16536,25608, 16552,21512, 16568,29704, 16584,19464, 16600,27656, + 16616,23560, 16632,31752, 16648,16904, 16664,25096, 16680,21000, 16696,29192, + 16712,18952, 16728,27144, 16744,23048, 16760,31240, 16776,17928, 16792,26120, + 16808,22024, 16824,30216, 16840,19976, 16856,28168, 16872,24072, 16888,32264, + 16920,24840, 16936,20744, 16952,28936, 16968,18696, 16984,26888, 17000,22792, + 17016,30984, 17032,17672, 17048,25864, 17064,21768, 17080,29960, 17096,19720, + 17112,27912, 17128,23816, 17144,32008, 17176,25352, 17192,21256, 17208,29448, + 17224,19208, 17240,27400, 17256,23304, 17272,31496, 17288,18184, 17304,26376, + 17320,22280, 17336,30472, 17352,20232, 17368,28424, 17384,24328, 17400,32520, + 17432,24712, 17448,20616, 17464,28808, 17480,18568, 17496,26760, 17512,22664, + 17528,30856, 17560,25736, 17576,21640, 17592,29832, 17608,19592, 17624,27784, + 17640,23688, 17656,31880, 17688,25224, 17704,21128, 17720,29320, 17736,19080, + 17752,27272, 17768,23176, 17784,31368, 17800,18056, 17816,26248, 17832,22152, + 17848,30344, 17864,20104, 17880,28296, 17896,24200, 17912,32392, 17944,24968, + 17960,20872, 17976,29064, 17992,18824, 18008,27016, 18024,22920, 18040,31112, + 18072,25992, 18088,21896, 18104,30088, 18120,19848, 18136,28040, 18152,23944, + 18168,32136, 18200,25480, 18216,21384, 18232,29576, 18248,19336, 18264,27528, + 18280,23432, 18296,31624, 18328,26504, 18344,22408, 18360,30600, 18376,20360, + 18392,28552, 18408,24456, 18424,32648, 18456,24648, 18472,20552, 18488,28744, + 18520,26696, 18536,22600, 18552,30792, 18584,25672, 18600,21576, 18616,29768, + 18632,19528, 18648,27720, 18664,23624, 18680,31816, 18712,25160, 18728,21064, + 18744,29256, 18760,19016, 18776,27208, 18792,23112, 18808,31304, 18840,26184, + 18856,22088, 18872,30280, 18888,20040, 18904,28232, 18920,24136, 18936,32328, + 18968,24904, 18984,20808, 19000,29000, 19032,26952, 19048,22856, 19064,31048, + 19096,25928, 19112,21832, 19128,30024, 19144,19784, 19160,27976, 19176,23880, + 19192,32072, 19224,25416, 19240,21320, 19256,29512, 19288,27464, 19304,23368, + 19320,31560, 19352,26440, 19368,22344, 19384,30536, 19400,20296, 19416,28488, + 19432,24392, 19448,32584, 19480,24776, 19496,20680, 19512,28872, 19544,26824, + 19560,22728, 19576,30920, 19608,25800, 19624,21704, 19640,29896, 19672,27848, + 19688,23752, 19704,31944, 19736,25288, 19752,21192, 19768,29384, 19800,27336, + 19816,23240, 19832,31432, 19864,26312, 19880,22216, 19896,30408, 19912,20168, + 19928,28360, 19944,24264, 19960,32456, 19992,25032, 20008,20936, 20024,29128, + 20056,27080, 20072,22984, 20088,31176, 20120,26056, 20136,21960, 20152,30152, + 20184,28104, 20200,24008, 20216,32200, 20248,25544, 20264,21448, 20280,29640, + 20312,27592, 20328,23496, 20344,31688, 20376,26568, 20392,22472, 20408,30664, + 20440,28616, 20456,24520, 20472,32712, 20504,24616, 20536,28712, 20568,26664, + 20584,22568, 20600,30760, 20632,25640, 20648,21544, 20664,29736, 20696,27688, + 20712,23592, 20728,31784, 20760,25128, 20776,21032, 20792,29224, 20824,27176, + 20840,23080, 20856,31272, 20888,26152, 20904,22056, 20920,30248, 20952,28200, + 20968,24104, 20984,32296, 21016,24872, 21048,28968, 21080,26920, 21096,22824, + 21112,31016, 21144,25896, 21160,21800, 21176,29992, 21208,27944, 21224,23848, + 21240,32040, 21272,25384, 21304,29480, 21336,27432, 21352,23336, 21368,31528, + 21400,26408, 21416,22312, 21432,30504, 21464,28456, 21480,24360, 21496,32552, + 21528,24744, 21560,28840, 21592,26792, 21608,22696, 21624,30888, 21656,25768, + 21688,29864, 21720,27816, 21736,23720, 21752,31912, 21784,25256, 21816,29352, + 21848,27304, 21864,23208, 21880,31400, 21912,26280, 21928,22184, 21944,30376, + 21976,28328, 21992,24232, 22008,32424, 22040,25000, 22072,29096, 22104,27048, + 22120,22952, 22136,31144, 22168,26024, 22200,30120, 22232,28072, 22248,23976, + 22264,32168, 22296,25512, 22328,29608, 22360,27560, 22376,23464, 22392,31656, + 22424,26536, 22456,30632, 22488,28584, 22504,24488, 22520,32680, 22552,24680, + 22584,28776, 22616,26728, 22648,30824, 22680,25704, 22712,29800, 22744,27752, + 22760,23656, 22776,31848, 22808,25192, 22840,29288, 22872,27240, 22888,23144, + 22904,31336, 22936,26216, 22968,30312, 23000,28264, 23016,24168, 23032,32360, + 23064,24936, 23096,29032, 23128,26984, 23160,31080, 23192,25960, 23224,30056, + 23256,28008, 23272,23912, 23288,32104, 23320,25448, 23352,29544, 23384,27496, + 23416,31592, 23448,26472, 23480,30568, 23512,28520, 23528,24424, 23544,32616, + 23576,24808, 23608,28904, 23640,26856, 23672,30952, 23704,25832, 23736,29928, + 23768,27880, 23800,31976, 23832,25320, 23864,29416, 23896,27368, 23928,31464, + 23960,26344, 23992,30440, 24024,28392, 24040,24296, 24056,32488, 24088,25064, + 24120,29160, 24152,27112, 24184,31208, 24216,26088, 24248,30184, 24280,28136, + 24312,32232, 24344,25576, 24376,29672, 24408,27624, 24440,31720, 24472,26600, + 24504,30696, 24536,28648, 24568,32744, 24632,28696, 24664,26648, 24696,30744, + 24728,25624, 24760,29720, 24792,27672, 24824,31768, 24856,25112, 24888,29208, + 24920,27160, 24952,31256, 24984,26136, 25016,30232, 25048,28184, 25080,32280, + 25144,28952, 25176,26904, 25208,31000, 25240,25880, 25272,29976, 25304,27928, + 25336,32024, 25400,29464, 25432,27416, 25464,31512, 25496,26392, 25528,30488, + 25560,28440, 25592,32536, 25656,28824, 25688,26776, 25720,30872, 25784,29848, + 25816,27800, 25848,31896, 25912,29336, 25944,27288, 25976,31384, 26008,26264, + 26040,30360, 26072,28312, 26104,32408, 26168,29080, 26200,27032, 26232,31128, + 26296,30104, 26328,28056, 26360,32152, 26424,29592, 26456,27544, 26488,31640, + 26552,30616, 26584,28568, 26616,32664, 26680,28760, 26744,30808, 26808,29784, + 26840,27736, 26872,31832, 26936,29272, 26968,27224, 27000,31320, 27064,30296, + 27096,28248, 27128,32344, 27192,29016, 27256,31064, 27320,30040, 27352,27992, + 27384,32088, 27448,29528, 27512,31576, 27576,30552, 27608,28504, 27640,32600, + 27704,28888, 27768,30936, 27832,29912, 27896,31960, 27960,29400, 28024,31448, + 28088,30424, 28120,28376, 28152,32472, 28216,29144, 28280,31192, 28344,30168, + 28408,32216, 28472,29656, 28536,31704, 28600,30680, 28664,32728, 28792,30776, + 28856,29752, 28920,31800, 28984,29240, 29048,31288, 29112,30264, 29176,32312, + 29304,31032, 29368,30008, 29432,32056, 29560,31544, 29624,30520, 29688,32568, + 29816,30904, 29944,31928, 30072,31416, 30136,30392, 30200,32440, 30328,31160, + 30456,32184, 30584,31672, 30712,32696, 30968,31864, 31096,31352, 31224,32376, + 31480,32120, 31736,32632, 32248,32504 +}; + +/** +* \par +* Example code for Floating-point RFFT Twiddle factors Generation: +* \par +*
TW = exp(2*pi*i*[0:L/2-1]/L - pi/2*i).' 
+* \par +* Real and Imag values are in interleaved fashion +*/ +const float32_t twiddleCoef_rfft_32[32] = { + 0.000000000f, 1.000000000f, + 0.195090322f, 0.980785280f, + 0.382683432f, 0.923879533f, + 0.555570233f, 0.831469612f, + 0.707106781f, 0.707106781f, + 0.831469612f, 0.555570233f, + 0.923879533f, 0.382683432f, + 0.980785280f, 0.195090322f, + 1.000000000f, 0.000000000f, + 0.980785280f, -0.195090322f, + 0.923879533f, -0.382683432f, + 0.831469612f, -0.555570233f, + 0.707106781f, -0.707106781f, + 0.555570233f, -0.831469612f, + 0.382683432f, -0.923879533f, + 0.195090322f, -0.980785280f +}; + +const float32_t twiddleCoef_rfft_64[64] = { + 0.000000000000000f, 1.000000000000000f, + 0.098017140329561f, 0.995184726672197f, + 0.195090322016128f, 0.980785280403230f, + 0.290284677254462f, 0.956940335732209f, + 0.382683432365090f, 0.923879532511287f, + 0.471396736825998f, 0.881921264348355f, + 0.555570233019602f, 0.831469612302545f, + 0.634393284163645f, 0.773010453362737f, + 0.707106781186547f, 0.707106781186548f, + 0.773010453362737f, 0.634393284163645f, + 0.831469612302545f, 0.555570233019602f, + 0.881921264348355f, 0.471396736825998f, + 0.923879532511287f, 0.382683432365090f, + 0.956940335732209f, 0.290284677254462f, + 0.980785280403230f, 0.195090322016128f, + 0.995184726672197f, 0.098017140329561f, + 1.000000000000000f, 0.000000000000000f, + 0.995184726672197f, -0.098017140329561f, + 0.980785280403230f, -0.195090322016128f, + 0.956940335732209f, -0.290284677254462f, + 0.923879532511287f, -0.382683432365090f, + 0.881921264348355f, -0.471396736825998f, + 0.831469612302545f, -0.555570233019602f, + 0.773010453362737f, -0.634393284163645f, + 0.707106781186548f, -0.707106781186547f, + 0.634393284163645f, -0.773010453362737f, + 0.555570233019602f, -0.831469612302545f, + 0.471396736825998f, -0.881921264348355f, + 0.382683432365090f, -0.923879532511287f, + 0.290284677254462f, -0.956940335732209f, + 0.195090322016129f, -0.980785280403230f, + 0.098017140329561f, -0.995184726672197f +}; + +const float32_t twiddleCoef_rfft_128[128] = { + 0.000000000f, 1.000000000f, + 0.049067674f, 0.998795456f, + 0.098017140f, 0.995184727f, + 0.146730474f, 0.989176510f, + 0.195090322f, 0.980785280f, + 0.242980180f, 0.970031253f, + 0.290284677f, 0.956940336f, + 0.336889853f, 0.941544065f, + 0.382683432f, 0.923879533f, + 0.427555093f, 0.903989293f, + 0.471396737f, 0.881921264f, + 0.514102744f, 0.857728610f, + 0.555570233f, 0.831469612f, + 0.595699304f, 0.803207531f, + 0.634393284f, 0.773010453f, + 0.671558955f, 0.740951125f, + 0.707106781f, 0.707106781f, + 0.740951125f, 0.671558955f, + 0.773010453f, 0.634393284f, + 0.803207531f, 0.595699304f, + 0.831469612f, 0.555570233f, + 0.857728610f, 0.514102744f, + 0.881921264f, 0.471396737f, + 0.903989293f, 0.427555093f, + 0.923879533f, 0.382683432f, + 0.941544065f, 0.336889853f, + 0.956940336f, 0.290284677f, + 0.970031253f, 0.242980180f, + 0.980785280f, 0.195090322f, + 0.989176510f, 0.146730474f, + 0.995184727f, 0.098017140f, + 0.998795456f, 0.049067674f, + 1.000000000f, 0.000000000f, + 0.998795456f, -0.049067674f, + 0.995184727f, -0.098017140f, + 0.989176510f, -0.146730474f, + 0.980785280f, -0.195090322f, + 0.970031253f, -0.242980180f, + 0.956940336f, -0.290284677f, + 0.941544065f, -0.336889853f, + 0.923879533f, -0.382683432f, + 0.903989293f, -0.427555093f, + 0.881921264f, -0.471396737f, + 0.857728610f, -0.514102744f, + 0.831469612f, -0.555570233f, + 0.803207531f, -0.595699304f, + 0.773010453f, -0.634393284f, + 0.740951125f, -0.671558955f, + 0.707106781f, -0.707106781f, + 0.671558955f, -0.740951125f, + 0.634393284f, -0.773010453f, + 0.595699304f, -0.803207531f, + 0.555570233f, -0.831469612f, + 0.514102744f, -0.857728610f, + 0.471396737f, -0.881921264f, + 0.427555093f, -0.903989293f, + 0.382683432f, -0.923879533f, + 0.336889853f, -0.941544065f, + 0.290284677f, -0.956940336f, + 0.242980180f, -0.970031253f, + 0.195090322f, -0.980785280f, + 0.146730474f, -0.989176510f, + 0.098017140f, -0.995184727f, + 0.049067674f, -0.998795456f +}; + +const float32_t twiddleCoef_rfft_256[256] = { + 0.000000000f, 1.000000000f, + 0.024541229f, 0.999698819f, + 0.049067674f, 0.998795456f, + 0.073564564f, 0.997290457f, + 0.098017140f, 0.995184727f, + 0.122410675f, 0.992479535f, + 0.146730474f, 0.989176510f, + 0.170961889f, 0.985277642f, + 0.195090322f, 0.980785280f, + 0.219101240f, 0.975702130f, + 0.242980180f, 0.970031253f, + 0.266712757f, 0.963776066f, + 0.290284677f, 0.956940336f, + 0.313681740f, 0.949528181f, + 0.336889853f, 0.941544065f, + 0.359895037f, 0.932992799f, + 0.382683432f, 0.923879533f, + 0.405241314f, 0.914209756f, + 0.427555093f, 0.903989293f, + 0.449611330f, 0.893224301f, + 0.471396737f, 0.881921264f, + 0.492898192f, 0.870086991f, + 0.514102744f, 0.857728610f, + 0.534997620f, 0.844853565f, + 0.555570233f, 0.831469612f, + 0.575808191f, 0.817584813f, + 0.595699304f, 0.803207531f, + 0.615231591f, 0.788346428f, + 0.634393284f, 0.773010453f, + 0.653172843f, 0.757208847f, + 0.671558955f, 0.740951125f, + 0.689540545f, 0.724247083f, + 0.707106781f, 0.707106781f, + 0.724247083f, 0.689540545f, + 0.740951125f, 0.671558955f, + 0.757208847f, 0.653172843f, + 0.773010453f, 0.634393284f, + 0.788346428f, 0.615231591f, + 0.803207531f, 0.595699304f, + 0.817584813f, 0.575808191f, + 0.831469612f, 0.555570233f, + 0.844853565f, 0.534997620f, + 0.857728610f, 0.514102744f, + 0.870086991f, 0.492898192f, + 0.881921264f, 0.471396737f, + 0.893224301f, 0.449611330f, + 0.903989293f, 0.427555093f, + 0.914209756f, 0.405241314f, + 0.923879533f, 0.382683432f, + 0.932992799f, 0.359895037f, + 0.941544065f, 0.336889853f, + 0.949528181f, 0.313681740f, + 0.956940336f, 0.290284677f, + 0.963776066f, 0.266712757f, + 0.970031253f, 0.242980180f, + 0.975702130f, 0.219101240f, + 0.980785280f, 0.195090322f, + 0.985277642f, 0.170961889f, + 0.989176510f, 0.146730474f, + 0.992479535f, 0.122410675f, + 0.995184727f, 0.098017140f, + 0.997290457f, 0.073564564f, + 0.998795456f, 0.049067674f, + 0.999698819f, 0.024541229f, + 1.000000000f, 0.000000000f, + 0.999698819f, -0.024541229f, + 0.998795456f, -0.049067674f, + 0.997290457f, -0.073564564f, + 0.995184727f, -0.098017140f, + 0.992479535f, -0.122410675f, + 0.989176510f, -0.146730474f, + 0.985277642f, -0.170961889f, + 0.980785280f, -0.195090322f, + 0.975702130f, -0.219101240f, + 0.970031253f, -0.242980180f, + 0.963776066f, -0.266712757f, + 0.956940336f, -0.290284677f, + 0.949528181f, -0.313681740f, + 0.941544065f, -0.336889853f, + 0.932992799f, -0.359895037f, + 0.923879533f, -0.382683432f, + 0.914209756f, -0.405241314f, + 0.903989293f, -0.427555093f, + 0.893224301f, -0.449611330f, + 0.881921264f, -0.471396737f, + 0.870086991f, -0.492898192f, + 0.857728610f, -0.514102744f, + 0.844853565f, -0.534997620f, + 0.831469612f, -0.555570233f, + 0.817584813f, -0.575808191f, + 0.803207531f, -0.595699304f, + 0.788346428f, -0.615231591f, + 0.773010453f, -0.634393284f, + 0.757208847f, -0.653172843f, + 0.740951125f, -0.671558955f, + 0.724247083f, -0.689540545f, + 0.707106781f, -0.707106781f, + 0.689540545f, -0.724247083f, + 0.671558955f, -0.740951125f, + 0.653172843f, -0.757208847f, + 0.634393284f, -0.773010453f, + 0.615231591f, -0.788346428f, + 0.595699304f, -0.803207531f, + 0.575808191f, -0.817584813f, + 0.555570233f, -0.831469612f, + 0.534997620f, -0.844853565f, + 0.514102744f, -0.857728610f, + 0.492898192f, -0.870086991f, + 0.471396737f, -0.881921264f, + 0.449611330f, -0.893224301f, + 0.427555093f, -0.903989293f, + 0.405241314f, -0.914209756f, + 0.382683432f, -0.923879533f, + 0.359895037f, -0.932992799f, + 0.336889853f, -0.941544065f, + 0.313681740f, -0.949528181f, + 0.290284677f, -0.956940336f, + 0.266712757f, -0.963776066f, + 0.242980180f, -0.970031253f, + 0.219101240f, -0.975702130f, + 0.195090322f, -0.980785280f, + 0.170961889f, -0.985277642f, + 0.146730474f, -0.989176510f, + 0.122410675f, -0.992479535f, + 0.098017140f, -0.995184727f, + 0.073564564f, -0.997290457f, + 0.049067674f, -0.998795456f, + 0.024541229f, -0.999698819f +}; + +const float32_t twiddleCoef_rfft_512[512] = { + 0.000000000f, 1.000000000f, + 0.012271538f, 0.999924702f, + 0.024541229f, 0.999698819f, + 0.036807223f, 0.999322385f, + 0.049067674f, 0.998795456f, + 0.061320736f, 0.998118113f, + 0.073564564f, 0.997290457f, + 0.085797312f, 0.996312612f, + 0.098017140f, 0.995184727f, + 0.110222207f, 0.993906970f, + 0.122410675f, 0.992479535f, + 0.134580709f, 0.990902635f, + 0.146730474f, 0.989176510f, + 0.158858143f, 0.987301418f, + 0.170961889f, 0.985277642f, + 0.183039888f, 0.983105487f, + 0.195090322f, 0.980785280f, + 0.207111376f, 0.978317371f, + 0.219101240f, 0.975702130f, + 0.231058108f, 0.972939952f, + 0.242980180f, 0.970031253f, + 0.254865660f, 0.966976471f, + 0.266712757f, 0.963776066f, + 0.278519689f, 0.960430519f, + 0.290284677f, 0.956940336f, + 0.302005949f, 0.953306040f, + 0.313681740f, 0.949528181f, + 0.325310292f, 0.945607325f, + 0.336889853f, 0.941544065f, + 0.348418680f, 0.937339012f, + 0.359895037f, 0.932992799f, + 0.371317194f, 0.928506080f, + 0.382683432f, 0.923879533f, + 0.393992040f, 0.919113852f, + 0.405241314f, 0.914209756f, + 0.416429560f, 0.909167983f, + 0.427555093f, 0.903989293f, + 0.438616239f, 0.898674466f, + 0.449611330f, 0.893224301f, + 0.460538711f, 0.887639620f, + 0.471396737f, 0.881921264f, + 0.482183772f, 0.876070094f, + 0.492898192f, 0.870086991f, + 0.503538384f, 0.863972856f, + 0.514102744f, 0.857728610f, + 0.524589683f, 0.851355193f, + 0.534997620f, 0.844853565f, + 0.545324988f, 0.838224706f, + 0.555570233f, 0.831469612f, + 0.565731811f, 0.824589303f, + 0.575808191f, 0.817584813f, + 0.585797857f, 0.810457198f, + 0.595699304f, 0.803207531f, + 0.605511041f, 0.795836905f, + 0.615231591f, 0.788346428f, + 0.624859488f, 0.780737229f, + 0.634393284f, 0.773010453f, + 0.643831543f, 0.765167266f, + 0.653172843f, 0.757208847f, + 0.662415778f, 0.749136395f, + 0.671558955f, 0.740951125f, + 0.680600998f, 0.732654272f, + 0.689540545f, 0.724247083f, + 0.698376249f, 0.715730825f, + 0.707106781f, 0.707106781f, + 0.715730825f, 0.698376249f, + 0.724247083f, 0.689540545f, + 0.732654272f, 0.680600998f, + 0.740951125f, 0.671558955f, + 0.749136395f, 0.662415778f, + 0.757208847f, 0.653172843f, + 0.765167266f, 0.643831543f, + 0.773010453f, 0.634393284f, + 0.780737229f, 0.624859488f, + 0.788346428f, 0.615231591f, + 0.795836905f, 0.605511041f, + 0.803207531f, 0.595699304f, + 0.810457198f, 0.585797857f, + 0.817584813f, 0.575808191f, + 0.824589303f, 0.565731811f, + 0.831469612f, 0.555570233f, + 0.838224706f, 0.545324988f, + 0.844853565f, 0.534997620f, + 0.851355193f, 0.524589683f, + 0.857728610f, 0.514102744f, + 0.863972856f, 0.503538384f, + 0.870086991f, 0.492898192f, + 0.876070094f, 0.482183772f, + 0.881921264f, 0.471396737f, + 0.887639620f, 0.460538711f, + 0.893224301f, 0.449611330f, + 0.898674466f, 0.438616239f, + 0.903989293f, 0.427555093f, + 0.909167983f, 0.416429560f, + 0.914209756f, 0.405241314f, + 0.919113852f, 0.393992040f, + 0.923879533f, 0.382683432f, + 0.928506080f, 0.371317194f, + 0.932992799f, 0.359895037f, + 0.937339012f, 0.348418680f, + 0.941544065f, 0.336889853f, + 0.945607325f, 0.325310292f, + 0.949528181f, 0.313681740f, + 0.953306040f, 0.302005949f, + 0.956940336f, 0.290284677f, + 0.960430519f, 0.278519689f, + 0.963776066f, 0.266712757f, + 0.966976471f, 0.254865660f, + 0.970031253f, 0.242980180f, + 0.972939952f, 0.231058108f, + 0.975702130f, 0.219101240f, + 0.978317371f, 0.207111376f, + 0.980785280f, 0.195090322f, + 0.983105487f, 0.183039888f, + 0.985277642f, 0.170961889f, + 0.987301418f, 0.158858143f, + 0.989176510f, 0.146730474f, + 0.990902635f, 0.134580709f, + 0.992479535f, 0.122410675f, + 0.993906970f, 0.110222207f, + 0.995184727f, 0.098017140f, + 0.996312612f, 0.085797312f, + 0.997290457f, 0.073564564f, + 0.998118113f, 0.061320736f, + 0.998795456f, 0.049067674f, + 0.999322385f, 0.036807223f, + 0.999698819f, 0.024541229f, + 0.999924702f, 0.012271538f, + 1.000000000f, 0.000000000f, + 0.999924702f, -0.012271538f, + 0.999698819f, -0.024541229f, + 0.999322385f, -0.036807223f, + 0.998795456f, -0.049067674f, + 0.998118113f, -0.061320736f, + 0.997290457f, -0.073564564f, + 0.996312612f, -0.085797312f, + 0.995184727f, -0.098017140f, + 0.993906970f, -0.110222207f, + 0.992479535f, -0.122410675f, + 0.990902635f, -0.134580709f, + 0.989176510f, -0.146730474f, + 0.987301418f, -0.158858143f, + 0.985277642f, -0.170961889f, + 0.983105487f, -0.183039888f, + 0.980785280f, -0.195090322f, + 0.978317371f, -0.207111376f, + 0.975702130f, -0.219101240f, + 0.972939952f, -0.231058108f, + 0.970031253f, -0.242980180f, + 0.966976471f, -0.254865660f, + 0.963776066f, -0.266712757f, + 0.960430519f, -0.278519689f, + 0.956940336f, -0.290284677f, + 0.953306040f, -0.302005949f, + 0.949528181f, -0.313681740f, + 0.945607325f, -0.325310292f, + 0.941544065f, -0.336889853f, + 0.937339012f, -0.348418680f, + 0.932992799f, -0.359895037f, + 0.928506080f, -0.371317194f, + 0.923879533f, -0.382683432f, + 0.919113852f, -0.393992040f, + 0.914209756f, -0.405241314f, + 0.909167983f, -0.416429560f, + 0.903989293f, -0.427555093f, + 0.898674466f, -0.438616239f, + 0.893224301f, -0.449611330f, + 0.887639620f, -0.460538711f, + 0.881921264f, -0.471396737f, + 0.876070094f, -0.482183772f, + 0.870086991f, -0.492898192f, + 0.863972856f, -0.503538384f, + 0.857728610f, -0.514102744f, + 0.851355193f, -0.524589683f, + 0.844853565f, -0.534997620f, + 0.838224706f, -0.545324988f, + 0.831469612f, -0.555570233f, + 0.824589303f, -0.565731811f, + 0.817584813f, -0.575808191f, + 0.810457198f, -0.585797857f, + 0.803207531f, -0.595699304f, + 0.795836905f, -0.605511041f, + 0.788346428f, -0.615231591f, + 0.780737229f, -0.624859488f, + 0.773010453f, -0.634393284f, + 0.765167266f, -0.643831543f, + 0.757208847f, -0.653172843f, + 0.749136395f, -0.662415778f, + 0.740951125f, -0.671558955f, + 0.732654272f, -0.680600998f, + 0.724247083f, -0.689540545f, + 0.715730825f, -0.698376249f, + 0.707106781f, -0.707106781f, + 0.698376249f, -0.715730825f, + 0.689540545f, -0.724247083f, + 0.680600998f, -0.732654272f, + 0.671558955f, -0.740951125f, + 0.662415778f, -0.749136395f, + 0.653172843f, -0.757208847f, + 0.643831543f, -0.765167266f, + 0.634393284f, -0.773010453f, + 0.624859488f, -0.780737229f, + 0.615231591f, -0.788346428f, + 0.605511041f, -0.795836905f, + 0.595699304f, -0.803207531f, + 0.585797857f, -0.810457198f, + 0.575808191f, -0.817584813f, + 0.565731811f, -0.824589303f, + 0.555570233f, -0.831469612f, + 0.545324988f, -0.838224706f, + 0.534997620f, -0.844853565f, + 0.524589683f, -0.851355193f, + 0.514102744f, -0.857728610f, + 0.503538384f, -0.863972856f, + 0.492898192f, -0.870086991f, + 0.482183772f, -0.876070094f, + 0.471396737f, -0.881921264f, + 0.460538711f, -0.887639620f, + 0.449611330f, -0.893224301f, + 0.438616239f, -0.898674466f, + 0.427555093f, -0.903989293f, + 0.416429560f, -0.909167983f, + 0.405241314f, -0.914209756f, + 0.393992040f, -0.919113852f, + 0.382683432f, -0.923879533f, + 0.371317194f, -0.928506080f, + 0.359895037f, -0.932992799f, + 0.348418680f, -0.937339012f, + 0.336889853f, -0.941544065f, + 0.325310292f, -0.945607325f, + 0.313681740f, -0.949528181f, + 0.302005949f, -0.953306040f, + 0.290284677f, -0.956940336f, + 0.278519689f, -0.960430519f, + 0.266712757f, -0.963776066f, + 0.254865660f, -0.966976471f, + 0.242980180f, -0.970031253f, + 0.231058108f, -0.972939952f, + 0.219101240f, -0.975702130f, + 0.207111376f, -0.978317371f, + 0.195090322f, -0.980785280f, + 0.183039888f, -0.983105487f, + 0.170961889f, -0.985277642f, + 0.158858143f, -0.987301418f, + 0.146730474f, -0.989176510f, + 0.134580709f, -0.990902635f, + 0.122410675f, -0.992479535f, + 0.110222207f, -0.993906970f, + 0.098017140f, -0.995184727f, + 0.085797312f, -0.996312612f, + 0.073564564f, -0.997290457f, + 0.061320736f, -0.998118113f, + 0.049067674f, -0.998795456f, + 0.036807223f, -0.999322385f, + 0.024541229f, -0.999698819f, + 0.012271538f, -0.999924702f +}; + +const float32_t twiddleCoef_rfft_1024[1024] = { + 0.000000000f, 1.000000000f, + 0.006135885f, 0.999981175f, + 0.012271538f, 0.999924702f, + 0.018406730f, 0.999830582f, + 0.024541229f, 0.999698819f, + 0.030674803f, 0.999529418f, + 0.036807223f, 0.999322385f, + 0.042938257f, 0.999077728f, + 0.049067674f, 0.998795456f, + 0.055195244f, 0.998475581f, + 0.061320736f, 0.998118113f, + 0.067443920f, 0.997723067f, + 0.073564564f, 0.997290457f, + 0.079682438f, 0.996820299f, + 0.085797312f, 0.996312612f, + 0.091908956f, 0.995767414f, + 0.098017140f, 0.995184727f, + 0.104121634f, 0.994564571f, + 0.110222207f, 0.993906970f, + 0.116318631f, 0.993211949f, + 0.122410675f, 0.992479535f, + 0.128498111f, 0.991709754f, + 0.134580709f, 0.990902635f, + 0.140658239f, 0.990058210f, + 0.146730474f, 0.989176510f, + 0.152797185f, 0.988257568f, + 0.158858143f, 0.987301418f, + 0.164913120f, 0.986308097f, + 0.170961889f, 0.985277642f, + 0.177004220f, 0.984210092f, + 0.183039888f, 0.983105487f, + 0.189068664f, 0.981963869f, + 0.195090322f, 0.980785280f, + 0.201104635f, 0.979569766f, + 0.207111376f, 0.978317371f, + 0.213110320f, 0.977028143f, + 0.219101240f, 0.975702130f, + 0.225083911f, 0.974339383f, + 0.231058108f, 0.972939952f, + 0.237023606f, 0.971503891f, + 0.242980180f, 0.970031253f, + 0.248927606f, 0.968522094f, + 0.254865660f, 0.966976471f, + 0.260794118f, 0.965394442f, + 0.266712757f, 0.963776066f, + 0.272621355f, 0.962121404f, + 0.278519689f, 0.960430519f, + 0.284407537f, 0.958703475f, + 0.290284677f, 0.956940336f, + 0.296150888f, 0.955141168f, + 0.302005949f, 0.953306040f, + 0.307849640f, 0.951435021f, + 0.313681740f, 0.949528181f, + 0.319502031f, 0.947585591f, + 0.325310292f, 0.945607325f, + 0.331106306f, 0.943593458f, + 0.336889853f, 0.941544065f, + 0.342660717f, 0.939459224f, + 0.348418680f, 0.937339012f, + 0.354163525f, 0.935183510f, + 0.359895037f, 0.932992799f, + 0.365612998f, 0.930766961f, + 0.371317194f, 0.928506080f, + 0.377007410f, 0.926210242f, + 0.382683432f, 0.923879533f, + 0.388345047f, 0.921514039f, + 0.393992040f, 0.919113852f, + 0.399624200f, 0.916679060f, + 0.405241314f, 0.914209756f, + 0.410843171f, 0.911706032f, + 0.416429560f, 0.909167983f, + 0.422000271f, 0.906595705f, + 0.427555093f, 0.903989293f, + 0.433093819f, 0.901348847f, + 0.438616239f, 0.898674466f, + 0.444122145f, 0.895966250f, + 0.449611330f, 0.893224301f, + 0.455083587f, 0.890448723f, + 0.460538711f, 0.887639620f, + 0.465976496f, 0.884797098f, + 0.471396737f, 0.881921264f, + 0.476799230f, 0.879012226f, + 0.482183772f, 0.876070094f, + 0.487550160f, 0.873094978f, + 0.492898192f, 0.870086991f, + 0.498227667f, 0.867046246f, + 0.503538384f, 0.863972856f, + 0.508830143f, 0.860866939f, + 0.514102744f, 0.857728610f, + 0.519355990f, 0.854557988f, + 0.524589683f, 0.851355193f, + 0.529803625f, 0.848120345f, + 0.534997620f, 0.844853565f, + 0.540171473f, 0.841554977f, + 0.545324988f, 0.838224706f, + 0.550457973f, 0.834862875f, + 0.555570233f, 0.831469612f, + 0.560661576f, 0.828045045f, + 0.565731811f, 0.824589303f, + 0.570780746f, 0.821102515f, + 0.575808191f, 0.817584813f, + 0.580813958f, 0.814036330f, + 0.585797857f, 0.810457198f, + 0.590759702f, 0.806847554f, + 0.595699304f, 0.803207531f, + 0.600616479f, 0.799537269f, + 0.605511041f, 0.795836905f, + 0.610382806f, 0.792106577f, + 0.615231591f, 0.788346428f, + 0.620057212f, 0.784556597f, + 0.624859488f, 0.780737229f, + 0.629638239f, 0.776888466f, + 0.634393284f, 0.773010453f, + 0.639124445f, 0.769103338f, + 0.643831543f, 0.765167266f, + 0.648514401f, 0.761202385f, + 0.653172843f, 0.757208847f, + 0.657806693f, 0.753186799f, + 0.662415778f, 0.749136395f, + 0.666999922f, 0.745057785f, + 0.671558955f, 0.740951125f, + 0.676092704f, 0.736816569f, + 0.680600998f, 0.732654272f, + 0.685083668f, 0.728464390f, + 0.689540545f, 0.724247083f, + 0.693971461f, 0.720002508f, + 0.698376249f, 0.715730825f, + 0.702754744f, 0.711432196f, + 0.707106781f, 0.707106781f, + 0.711432196f, 0.702754744f, + 0.715730825f, 0.698376249f, + 0.720002508f, 0.693971461f, + 0.724247083f, 0.689540545f, + 0.728464390f, 0.685083668f, + 0.732654272f, 0.680600998f, + 0.736816569f, 0.676092704f, + 0.740951125f, 0.671558955f, + 0.745057785f, 0.666999922f, + 0.749136395f, 0.662415778f, + 0.753186799f, 0.657806693f, + 0.757208847f, 0.653172843f, + 0.761202385f, 0.648514401f, + 0.765167266f, 0.643831543f, + 0.769103338f, 0.639124445f, + 0.773010453f, 0.634393284f, + 0.776888466f, 0.629638239f, + 0.780737229f, 0.624859488f, + 0.784556597f, 0.620057212f, + 0.788346428f, 0.615231591f, + 0.792106577f, 0.610382806f, + 0.795836905f, 0.605511041f, + 0.799537269f, 0.600616479f, + 0.803207531f, 0.595699304f, + 0.806847554f, 0.590759702f, + 0.810457198f, 0.585797857f, + 0.814036330f, 0.580813958f, + 0.817584813f, 0.575808191f, + 0.821102515f, 0.570780746f, + 0.824589303f, 0.565731811f, + 0.828045045f, 0.560661576f, + 0.831469612f, 0.555570233f, + 0.834862875f, 0.550457973f, + 0.838224706f, 0.545324988f, + 0.841554977f, 0.540171473f, + 0.844853565f, 0.534997620f, + 0.848120345f, 0.529803625f, + 0.851355193f, 0.524589683f, + 0.854557988f, 0.519355990f, + 0.857728610f, 0.514102744f, + 0.860866939f, 0.508830143f, + 0.863972856f, 0.503538384f, + 0.867046246f, 0.498227667f, + 0.870086991f, 0.492898192f, + 0.873094978f, 0.487550160f, + 0.876070094f, 0.482183772f, + 0.879012226f, 0.476799230f, + 0.881921264f, 0.471396737f, + 0.884797098f, 0.465976496f, + 0.887639620f, 0.460538711f, + 0.890448723f, 0.455083587f, + 0.893224301f, 0.449611330f, + 0.895966250f, 0.444122145f, + 0.898674466f, 0.438616239f, + 0.901348847f, 0.433093819f, + 0.903989293f, 0.427555093f, + 0.906595705f, 0.422000271f, + 0.909167983f, 0.416429560f, + 0.911706032f, 0.410843171f, + 0.914209756f, 0.405241314f, + 0.916679060f, 0.399624200f, + 0.919113852f, 0.393992040f, + 0.921514039f, 0.388345047f, + 0.923879533f, 0.382683432f, + 0.926210242f, 0.377007410f, + 0.928506080f, 0.371317194f, + 0.930766961f, 0.365612998f, + 0.932992799f, 0.359895037f, + 0.935183510f, 0.354163525f, + 0.937339012f, 0.348418680f, + 0.939459224f, 0.342660717f, + 0.941544065f, 0.336889853f, + 0.943593458f, 0.331106306f, + 0.945607325f, 0.325310292f, + 0.947585591f, 0.319502031f, + 0.949528181f, 0.313681740f, + 0.951435021f, 0.307849640f, + 0.953306040f, 0.302005949f, + 0.955141168f, 0.296150888f, + 0.956940336f, 0.290284677f, + 0.958703475f, 0.284407537f, + 0.960430519f, 0.278519689f, + 0.962121404f, 0.272621355f, + 0.963776066f, 0.266712757f, + 0.965394442f, 0.260794118f, + 0.966976471f, 0.254865660f, + 0.968522094f, 0.248927606f, + 0.970031253f, 0.242980180f, + 0.971503891f, 0.237023606f, + 0.972939952f, 0.231058108f, + 0.974339383f, 0.225083911f, + 0.975702130f, 0.219101240f, + 0.977028143f, 0.213110320f, + 0.978317371f, 0.207111376f, + 0.979569766f, 0.201104635f, + 0.980785280f, 0.195090322f, + 0.981963869f, 0.189068664f, + 0.983105487f, 0.183039888f, + 0.984210092f, 0.177004220f, + 0.985277642f, 0.170961889f, + 0.986308097f, 0.164913120f, + 0.987301418f, 0.158858143f, + 0.988257568f, 0.152797185f, + 0.989176510f, 0.146730474f, + 0.990058210f, 0.140658239f, + 0.990902635f, 0.134580709f, + 0.991709754f, 0.128498111f, + 0.992479535f, 0.122410675f, + 0.993211949f, 0.116318631f, + 0.993906970f, 0.110222207f, + 0.994564571f, 0.104121634f, + 0.995184727f, 0.098017140f, + 0.995767414f, 0.091908956f, + 0.996312612f, 0.085797312f, + 0.996820299f, 0.079682438f, + 0.997290457f, 0.073564564f, + 0.997723067f, 0.067443920f, + 0.998118113f, 0.061320736f, + 0.998475581f, 0.055195244f, + 0.998795456f, 0.049067674f, + 0.999077728f, 0.042938257f, + 0.999322385f, 0.036807223f, + 0.999529418f, 0.030674803f, + 0.999698819f, 0.024541229f, + 0.999830582f, 0.018406730f, + 0.999924702f, 0.012271538f, + 0.999981175f, 0.006135885f, + 1.000000000f, 0.000000000f, + 0.999981175f, -0.006135885f, + 0.999924702f, -0.012271538f, + 0.999830582f, -0.018406730f, + 0.999698819f, -0.024541229f, + 0.999529418f, -0.030674803f, + 0.999322385f, -0.036807223f, + 0.999077728f, -0.042938257f, + 0.998795456f, -0.049067674f, + 0.998475581f, -0.055195244f, + 0.998118113f, -0.061320736f, + 0.997723067f, -0.067443920f, + 0.997290457f, -0.073564564f, + 0.996820299f, -0.079682438f, + 0.996312612f, -0.085797312f, + 0.995767414f, -0.091908956f, + 0.995184727f, -0.098017140f, + 0.994564571f, -0.104121634f, + 0.993906970f, -0.110222207f, + 0.993211949f, -0.116318631f, + 0.992479535f, -0.122410675f, + 0.991709754f, -0.128498111f, + 0.990902635f, -0.134580709f, + 0.990058210f, -0.140658239f, + 0.989176510f, -0.146730474f, + 0.988257568f, -0.152797185f, + 0.987301418f, -0.158858143f, + 0.986308097f, -0.164913120f, + 0.985277642f, -0.170961889f, + 0.984210092f, -0.177004220f, + 0.983105487f, -0.183039888f, + 0.981963869f, -0.189068664f, + 0.980785280f, -0.195090322f, + 0.979569766f, -0.201104635f, + 0.978317371f, -0.207111376f, + 0.977028143f, -0.213110320f, + 0.975702130f, -0.219101240f, + 0.974339383f, -0.225083911f, + 0.972939952f, -0.231058108f, + 0.971503891f, -0.237023606f, + 0.970031253f, -0.242980180f, + 0.968522094f, -0.248927606f, + 0.966976471f, -0.254865660f, + 0.965394442f, -0.260794118f, + 0.963776066f, -0.266712757f, + 0.962121404f, -0.272621355f, + 0.960430519f, -0.278519689f, + 0.958703475f, -0.284407537f, + 0.956940336f, -0.290284677f, + 0.955141168f, -0.296150888f, + 0.953306040f, -0.302005949f, + 0.951435021f, -0.307849640f, + 0.949528181f, -0.313681740f, + 0.947585591f, -0.319502031f, + 0.945607325f, -0.325310292f, + 0.943593458f, -0.331106306f, + 0.941544065f, -0.336889853f, + 0.939459224f, -0.342660717f, + 0.937339012f, -0.348418680f, + 0.935183510f, -0.354163525f, + 0.932992799f, -0.359895037f, + 0.930766961f, -0.365612998f, + 0.928506080f, -0.371317194f, + 0.926210242f, -0.377007410f, + 0.923879533f, -0.382683432f, + 0.921514039f, -0.388345047f, + 0.919113852f, -0.393992040f, + 0.916679060f, -0.399624200f, + 0.914209756f, -0.405241314f, + 0.911706032f, -0.410843171f, + 0.909167983f, -0.416429560f, + 0.906595705f, -0.422000271f, + 0.903989293f, -0.427555093f, + 0.901348847f, -0.433093819f, + 0.898674466f, -0.438616239f, + 0.895966250f, -0.444122145f, + 0.893224301f, -0.449611330f, + 0.890448723f, -0.455083587f, + 0.887639620f, -0.460538711f, + 0.884797098f, -0.465976496f, + 0.881921264f, -0.471396737f, + 0.879012226f, -0.476799230f, + 0.876070094f, -0.482183772f, + 0.873094978f, -0.487550160f, + 0.870086991f, -0.492898192f, + 0.867046246f, -0.498227667f, + 0.863972856f, -0.503538384f, + 0.860866939f, -0.508830143f, + 0.857728610f, -0.514102744f, + 0.854557988f, -0.519355990f, + 0.851355193f, -0.524589683f, + 0.848120345f, -0.529803625f, + 0.844853565f, -0.534997620f, + 0.841554977f, -0.540171473f, + 0.838224706f, -0.545324988f, + 0.834862875f, -0.550457973f, + 0.831469612f, -0.555570233f, + 0.828045045f, -0.560661576f, + 0.824589303f, -0.565731811f, + 0.821102515f, -0.570780746f, + 0.817584813f, -0.575808191f, + 0.814036330f, -0.580813958f, + 0.810457198f, -0.585797857f, + 0.806847554f, -0.590759702f, + 0.803207531f, -0.595699304f, + 0.799537269f, -0.600616479f, + 0.795836905f, -0.605511041f, + 0.792106577f, -0.610382806f, + 0.788346428f, -0.615231591f, + 0.784556597f, -0.620057212f, + 0.780737229f, -0.624859488f, + 0.776888466f, -0.629638239f, + 0.773010453f, -0.634393284f, + 0.769103338f, -0.639124445f, + 0.765167266f, -0.643831543f, + 0.761202385f, -0.648514401f, + 0.757208847f, -0.653172843f, + 0.753186799f, -0.657806693f, + 0.749136395f, -0.662415778f, + 0.745057785f, -0.666999922f, + 0.740951125f, -0.671558955f, + 0.736816569f, -0.676092704f, + 0.732654272f, -0.680600998f, + 0.728464390f, -0.685083668f, + 0.724247083f, -0.689540545f, + 0.720002508f, -0.693971461f, + 0.715730825f, -0.698376249f, + 0.711432196f, -0.702754744f, + 0.707106781f, -0.707106781f, + 0.702754744f, -0.711432196f, + 0.698376249f, -0.715730825f, + 0.693971461f, -0.720002508f, + 0.689540545f, -0.724247083f, + 0.685083668f, -0.728464390f, + 0.680600998f, -0.732654272f, + 0.676092704f, -0.736816569f, + 0.671558955f, -0.740951125f, + 0.666999922f, -0.745057785f, + 0.662415778f, -0.749136395f, + 0.657806693f, -0.753186799f, + 0.653172843f, -0.757208847f, + 0.648514401f, -0.761202385f, + 0.643831543f, -0.765167266f, + 0.639124445f, -0.769103338f, + 0.634393284f, -0.773010453f, + 0.629638239f, -0.776888466f, + 0.624859488f, -0.780737229f, + 0.620057212f, -0.784556597f, + 0.615231591f, -0.788346428f, + 0.610382806f, -0.792106577f, + 0.605511041f, -0.795836905f, + 0.600616479f, -0.799537269f, + 0.595699304f, -0.803207531f, + 0.590759702f, -0.806847554f, + 0.585797857f, -0.810457198f, + 0.580813958f, -0.814036330f, + 0.575808191f, -0.817584813f, + 0.570780746f, -0.821102515f, + 0.565731811f, -0.824589303f, + 0.560661576f, -0.828045045f, + 0.555570233f, -0.831469612f, + 0.550457973f, -0.834862875f, + 0.545324988f, -0.838224706f, + 0.540171473f, -0.841554977f, + 0.534997620f, -0.844853565f, + 0.529803625f, -0.848120345f, + 0.524589683f, -0.851355193f, + 0.519355990f, -0.854557988f, + 0.514102744f, -0.857728610f, + 0.508830143f, -0.860866939f, + 0.503538384f, -0.863972856f, + 0.498227667f, -0.867046246f, + 0.492898192f, -0.870086991f, + 0.487550160f, -0.873094978f, + 0.482183772f, -0.876070094f, + 0.476799230f, -0.879012226f, + 0.471396737f, -0.881921264f, + 0.465976496f, -0.884797098f, + 0.460538711f, -0.887639620f, + 0.455083587f, -0.890448723f, + 0.449611330f, -0.893224301f, + 0.444122145f, -0.895966250f, + 0.438616239f, -0.898674466f, + 0.433093819f, -0.901348847f, + 0.427555093f, -0.903989293f, + 0.422000271f, -0.906595705f, + 0.416429560f, -0.909167983f, + 0.410843171f, -0.911706032f, + 0.405241314f, -0.914209756f, + 0.399624200f, -0.916679060f, + 0.393992040f, -0.919113852f, + 0.388345047f, -0.921514039f, + 0.382683432f, -0.923879533f, + 0.377007410f, -0.926210242f, + 0.371317194f, -0.928506080f, + 0.365612998f, -0.930766961f, + 0.359895037f, -0.932992799f, + 0.354163525f, -0.935183510f, + 0.348418680f, -0.937339012f, + 0.342660717f, -0.939459224f, + 0.336889853f, -0.941544065f, + 0.331106306f, -0.943593458f, + 0.325310292f, -0.945607325f, + 0.319502031f, -0.947585591f, + 0.313681740f, -0.949528181f, + 0.307849640f, -0.951435021f, + 0.302005949f, -0.953306040f, + 0.296150888f, -0.955141168f, + 0.290284677f, -0.956940336f, + 0.284407537f, -0.958703475f, + 0.278519689f, -0.960430519f, + 0.272621355f, -0.962121404f, + 0.266712757f, -0.963776066f, + 0.260794118f, -0.965394442f, + 0.254865660f, -0.966976471f, + 0.248927606f, -0.968522094f, + 0.242980180f, -0.970031253f, + 0.237023606f, -0.971503891f, + 0.231058108f, -0.972939952f, + 0.225083911f, -0.974339383f, + 0.219101240f, -0.975702130f, + 0.213110320f, -0.977028143f, + 0.207111376f, -0.978317371f, + 0.201104635f, -0.979569766f, + 0.195090322f, -0.980785280f, + 0.189068664f, -0.981963869f, + 0.183039888f, -0.983105487f, + 0.177004220f, -0.984210092f, + 0.170961889f, -0.985277642f, + 0.164913120f, -0.986308097f, + 0.158858143f, -0.987301418f, + 0.152797185f, -0.988257568f, + 0.146730474f, -0.989176510f, + 0.140658239f, -0.990058210f, + 0.134580709f, -0.990902635f, + 0.128498111f, -0.991709754f, + 0.122410675f, -0.992479535f, + 0.116318631f, -0.993211949f, + 0.110222207f, -0.993906970f, + 0.104121634f, -0.994564571f, + 0.098017140f, -0.995184727f, + 0.091908956f, -0.995767414f, + 0.085797312f, -0.996312612f, + 0.079682438f, -0.996820299f, + 0.073564564f, -0.997290457f, + 0.067443920f, -0.997723067f, + 0.061320736f, -0.998118113f, + 0.055195244f, -0.998475581f, + 0.049067674f, -0.998795456f, + 0.042938257f, -0.999077728f, + 0.036807223f, -0.999322385f, + 0.030674803f, -0.999529418f, + 0.024541229f, -0.999698819f, + 0.018406730f, -0.999830582f, + 0.012271538f, -0.999924702f, + 0.006135885f, -0.999981175f +}; + +const float32_t twiddleCoef_rfft_2048[2048] = { + 0.000000000f, 1.000000000f, + 0.003067957f, 0.999995294f, + 0.006135885f, 0.999981175f, + 0.009203755f, 0.999957645f, + 0.012271538f, 0.999924702f, + 0.015339206f, 0.999882347f, + 0.018406730f, 0.999830582f, + 0.021474080f, 0.999769405f, + 0.024541229f, 0.999698819f, + 0.027608146f, 0.999618822f, + 0.030674803f, 0.999529418f, + 0.033741172f, 0.999430605f, + 0.036807223f, 0.999322385f, + 0.039872928f, 0.999204759f, + 0.042938257f, 0.999077728f, + 0.046003182f, 0.998941293f, + 0.049067674f, 0.998795456f, + 0.052131705f, 0.998640218f, + 0.055195244f, 0.998475581f, + 0.058258265f, 0.998301545f, + 0.061320736f, 0.998118113f, + 0.064382631f, 0.997925286f, + 0.067443920f, 0.997723067f, + 0.070504573f, 0.997511456f, + 0.073564564f, 0.997290457f, + 0.076623861f, 0.997060070f, + 0.079682438f, 0.996820299f, + 0.082740265f, 0.996571146f, + 0.085797312f, 0.996312612f, + 0.088853553f, 0.996044701f, + 0.091908956f, 0.995767414f, + 0.094963495f, 0.995480755f, + 0.098017140f, 0.995184727f, + 0.101069863f, 0.994879331f, + 0.104121634f, 0.994564571f, + 0.107172425f, 0.994240449f, + 0.110222207f, 0.993906970f, + 0.113270952f, 0.993564136f, + 0.116318631f, 0.993211949f, + 0.119365215f, 0.992850414f, + 0.122410675f, 0.992479535f, + 0.125454983f, 0.992099313f, + 0.128498111f, 0.991709754f, + 0.131540029f, 0.991310860f, + 0.134580709f, 0.990902635f, + 0.137620122f, 0.990485084f, + 0.140658239f, 0.990058210f, + 0.143695033f, 0.989622017f, + 0.146730474f, 0.989176510f, + 0.149764535f, 0.988721692f, + 0.152797185f, 0.988257568f, + 0.155828398f, 0.987784142f, + 0.158858143f, 0.987301418f, + 0.161886394f, 0.986809402f, + 0.164913120f, 0.986308097f, + 0.167938295f, 0.985797509f, + 0.170961889f, 0.985277642f, + 0.173983873f, 0.984748502f, + 0.177004220f, 0.984210092f, + 0.180022901f, 0.983662419f, + 0.183039888f, 0.983105487f, + 0.186055152f, 0.982539302f, + 0.189068664f, 0.981963869f, + 0.192080397f, 0.981379193f, + 0.195090322f, 0.980785280f, + 0.198098411f, 0.980182136f, + 0.201104635f, 0.979569766f, + 0.204108966f, 0.978948175f, + 0.207111376f, 0.978317371f, + 0.210111837f, 0.977677358f, + 0.213110320f, 0.977028143f, + 0.216106797f, 0.976369731f, + 0.219101240f, 0.975702130f, + 0.222093621f, 0.975025345f, + 0.225083911f, 0.974339383f, + 0.228072083f, 0.973644250f, + 0.231058108f, 0.972939952f, + 0.234041959f, 0.972226497f, + 0.237023606f, 0.971503891f, + 0.240003022f, 0.970772141f, + 0.242980180f, 0.970031253f, + 0.245955050f, 0.969281235f, + 0.248927606f, 0.968522094f, + 0.251897818f, 0.967753837f, + 0.254865660f, 0.966976471f, + 0.257831102f, 0.966190003f, + 0.260794118f, 0.965394442f, + 0.263754679f, 0.964589793f, + 0.266712757f, 0.963776066f, + 0.269668326f, 0.962953267f, + 0.272621355f, 0.962121404f, + 0.275571819f, 0.961280486f, + 0.278519689f, 0.960430519f, + 0.281464938f, 0.959571513f, + 0.284407537f, 0.958703475f, + 0.287347460f, 0.957826413f, + 0.290284677f, 0.956940336f, + 0.293219163f, 0.956045251f, + 0.296150888f, 0.955141168f, + 0.299079826f, 0.954228095f, + 0.302005949f, 0.953306040f, + 0.304929230f, 0.952375013f, + 0.307849640f, 0.951435021f, + 0.310767153f, 0.950486074f, + 0.313681740f, 0.949528181f, + 0.316593376f, 0.948561350f, + 0.319502031f, 0.947585591f, + 0.322407679f, 0.946600913f, + 0.325310292f, 0.945607325f, + 0.328209844f, 0.944604837f, + 0.331106306f, 0.943593458f, + 0.333999651f, 0.942573198f, + 0.336889853f, 0.941544065f, + 0.339776884f, 0.940506071f, + 0.342660717f, 0.939459224f, + 0.345541325f, 0.938403534f, + 0.348418680f, 0.937339012f, + 0.351292756f, 0.936265667f, + 0.354163525f, 0.935183510f, + 0.357030961f, 0.934092550f, + 0.359895037f, 0.932992799f, + 0.362755724f, 0.931884266f, + 0.365612998f, 0.930766961f, + 0.368466830f, 0.929640896f, + 0.371317194f, 0.928506080f, + 0.374164063f, 0.927362526f, + 0.377007410f, 0.926210242f, + 0.379847209f, 0.925049241f, + 0.382683432f, 0.923879533f, + 0.385516054f, 0.922701128f, + 0.388345047f, 0.921514039f, + 0.391170384f, 0.920318277f, + 0.393992040f, 0.919113852f, + 0.396809987f, 0.917900776f, + 0.399624200f, 0.916679060f, + 0.402434651f, 0.915448716f, + 0.405241314f, 0.914209756f, + 0.408044163f, 0.912962190f, + 0.410843171f, 0.911706032f, + 0.413638312f, 0.910441292f, + 0.416429560f, 0.909167983f, + 0.419216888f, 0.907886116f, + 0.422000271f, 0.906595705f, + 0.424779681f, 0.905296759f, + 0.427555093f, 0.903989293f, + 0.430326481f, 0.902673318f, + 0.433093819f, 0.901348847f, + 0.435857080f, 0.900015892f, + 0.438616239f, 0.898674466f, + 0.441371269f, 0.897324581f, + 0.444122145f, 0.895966250f, + 0.446868840f, 0.894599486f, + 0.449611330f, 0.893224301f, + 0.452349587f, 0.891840709f, + 0.455083587f, 0.890448723f, + 0.457813304f, 0.889048356f, + 0.460538711f, 0.887639620f, + 0.463259784f, 0.886222530f, + 0.465976496f, 0.884797098f, + 0.468688822f, 0.883363339f, + 0.471396737f, 0.881921264f, + 0.474100215f, 0.880470889f, + 0.476799230f, 0.879012226f, + 0.479493758f, 0.877545290f, + 0.482183772f, 0.876070094f, + 0.484869248f, 0.874586652f, + 0.487550160f, 0.873094978f, + 0.490226483f, 0.871595087f, + 0.492898192f, 0.870086991f, + 0.495565262f, 0.868570706f, + 0.498227667f, 0.867046246f, + 0.500885383f, 0.865513624f, + 0.503538384f, 0.863972856f, + 0.506186645f, 0.862423956f, + 0.508830143f, 0.860866939f, + 0.511468850f, 0.859301818f, + 0.514102744f, 0.857728610f, + 0.516731799f, 0.856147328f, + 0.519355990f, 0.854557988f, + 0.521975293f, 0.852960605f, + 0.524589683f, 0.851355193f, + 0.527199135f, 0.849741768f, + 0.529803625f, 0.848120345f, + 0.532403128f, 0.846490939f, + 0.534997620f, 0.844853565f, + 0.537587076f, 0.843208240f, + 0.540171473f, 0.841554977f, + 0.542750785f, 0.839893794f, + 0.545324988f, 0.838224706f, + 0.547894059f, 0.836547727f, + 0.550457973f, 0.834862875f, + 0.553016706f, 0.833170165f, + 0.555570233f, 0.831469612f, + 0.558118531f, 0.829761234f, + 0.560661576f, 0.828045045f, + 0.563199344f, 0.826321063f, + 0.565731811f, 0.824589303f, + 0.568258953f, 0.822849781f, + 0.570780746f, 0.821102515f, + 0.573297167f, 0.819347520f, + 0.575808191f, 0.817584813f, + 0.578313796f, 0.815814411f, + 0.580813958f, 0.814036330f, + 0.583308653f, 0.812250587f, + 0.585797857f, 0.810457198f, + 0.588281548f, 0.808656182f, + 0.590759702f, 0.806847554f, + 0.593232295f, 0.805031331f, + 0.595699304f, 0.803207531f, + 0.598160707f, 0.801376172f, + 0.600616479f, 0.799537269f, + 0.603066599f, 0.797690841f, + 0.605511041f, 0.795836905f, + 0.607949785f, 0.793975478f, + 0.610382806f, 0.792106577f, + 0.612810082f, 0.790230221f, + 0.615231591f, 0.788346428f, + 0.617647308f, 0.786455214f, + 0.620057212f, 0.784556597f, + 0.622461279f, 0.782650596f, + 0.624859488f, 0.780737229f, + 0.627251815f, 0.778816512f, + 0.629638239f, 0.776888466f, + 0.632018736f, 0.774953107f, + 0.634393284f, 0.773010453f, + 0.636761861f, 0.771060524f, + 0.639124445f, 0.769103338f, + 0.641481013f, 0.767138912f, + 0.643831543f, 0.765167266f, + 0.646176013f, 0.763188417f, + 0.648514401f, 0.761202385f, + 0.650846685f, 0.759209189f, + 0.653172843f, 0.757208847f, + 0.655492853f, 0.755201377f, + 0.657806693f, 0.753186799f, + 0.660114342f, 0.751165132f, + 0.662415778f, 0.749136395f, + 0.664710978f, 0.747100606f, + 0.666999922f, 0.745057785f, + 0.669282588f, 0.743007952f, + 0.671558955f, 0.740951125f, + 0.673829000f, 0.738887324f, + 0.676092704f, 0.736816569f, + 0.678350043f, 0.734738878f, + 0.680600998f, 0.732654272f, + 0.682845546f, 0.730562769f, + 0.685083668f, 0.728464390f, + 0.687315341f, 0.726359155f, + 0.689540545f, 0.724247083f, + 0.691759258f, 0.722128194f, + 0.693971461f, 0.720002508f, + 0.696177131f, 0.717870045f, + 0.698376249f, 0.715730825f, + 0.700568794f, 0.713584869f, + 0.702754744f, 0.711432196f, + 0.704934080f, 0.709272826f, + 0.707106781f, 0.707106781f, + 0.709272826f, 0.704934080f, + 0.711432196f, 0.702754744f, + 0.713584869f, 0.700568794f, + 0.715730825f, 0.698376249f, + 0.717870045f, 0.696177131f, + 0.720002508f, 0.693971461f, + 0.722128194f, 0.691759258f, + 0.724247083f, 0.689540545f, + 0.726359155f, 0.687315341f, + 0.728464390f, 0.685083668f, + 0.730562769f, 0.682845546f, + 0.732654272f, 0.680600998f, + 0.734738878f, 0.678350043f, + 0.736816569f, 0.676092704f, + 0.738887324f, 0.673829000f, + 0.740951125f, 0.671558955f, + 0.743007952f, 0.669282588f, + 0.745057785f, 0.666999922f, + 0.747100606f, 0.664710978f, + 0.749136395f, 0.662415778f, + 0.751165132f, 0.660114342f, + 0.753186799f, 0.657806693f, + 0.755201377f, 0.655492853f, + 0.757208847f, 0.653172843f, + 0.759209189f, 0.650846685f, + 0.761202385f, 0.648514401f, + 0.763188417f, 0.646176013f, + 0.765167266f, 0.643831543f, + 0.767138912f, 0.641481013f, + 0.769103338f, 0.639124445f, + 0.771060524f, 0.636761861f, + 0.773010453f, 0.634393284f, + 0.774953107f, 0.632018736f, + 0.776888466f, 0.629638239f, + 0.778816512f, 0.627251815f, + 0.780737229f, 0.624859488f, + 0.782650596f, 0.622461279f, + 0.784556597f, 0.620057212f, + 0.786455214f, 0.617647308f, + 0.788346428f, 0.615231591f, + 0.790230221f, 0.612810082f, + 0.792106577f, 0.610382806f, + 0.793975478f, 0.607949785f, + 0.795836905f, 0.605511041f, + 0.797690841f, 0.603066599f, + 0.799537269f, 0.600616479f, + 0.801376172f, 0.598160707f, + 0.803207531f, 0.595699304f, + 0.805031331f, 0.593232295f, + 0.806847554f, 0.590759702f, + 0.808656182f, 0.588281548f, + 0.810457198f, 0.585797857f, + 0.812250587f, 0.583308653f, + 0.814036330f, 0.580813958f, + 0.815814411f, 0.578313796f, + 0.817584813f, 0.575808191f, + 0.819347520f, 0.573297167f, + 0.821102515f, 0.570780746f, + 0.822849781f, 0.568258953f, + 0.824589303f, 0.565731811f, + 0.826321063f, 0.563199344f, + 0.828045045f, 0.560661576f, + 0.829761234f, 0.558118531f, + 0.831469612f, 0.555570233f, + 0.833170165f, 0.553016706f, + 0.834862875f, 0.550457973f, + 0.836547727f, 0.547894059f, + 0.838224706f, 0.545324988f, + 0.839893794f, 0.542750785f, + 0.841554977f, 0.540171473f, + 0.843208240f, 0.537587076f, + 0.844853565f, 0.534997620f, + 0.846490939f, 0.532403128f, + 0.848120345f, 0.529803625f, + 0.849741768f, 0.527199135f, + 0.851355193f, 0.524589683f, + 0.852960605f, 0.521975293f, + 0.854557988f, 0.519355990f, + 0.856147328f, 0.516731799f, + 0.857728610f, 0.514102744f, + 0.859301818f, 0.511468850f, + 0.860866939f, 0.508830143f, + 0.862423956f, 0.506186645f, + 0.863972856f, 0.503538384f, + 0.865513624f, 0.500885383f, + 0.867046246f, 0.498227667f, + 0.868570706f, 0.495565262f, + 0.870086991f, 0.492898192f, + 0.871595087f, 0.490226483f, + 0.873094978f, 0.487550160f, + 0.874586652f, 0.484869248f, + 0.876070094f, 0.482183772f, + 0.877545290f, 0.479493758f, + 0.879012226f, 0.476799230f, + 0.880470889f, 0.474100215f, + 0.881921264f, 0.471396737f, + 0.883363339f, 0.468688822f, + 0.884797098f, 0.465976496f, + 0.886222530f, 0.463259784f, + 0.887639620f, 0.460538711f, + 0.889048356f, 0.457813304f, + 0.890448723f, 0.455083587f, + 0.891840709f, 0.452349587f, + 0.893224301f, 0.449611330f, + 0.894599486f, 0.446868840f, + 0.895966250f, 0.444122145f, + 0.897324581f, 0.441371269f, + 0.898674466f, 0.438616239f, + 0.900015892f, 0.435857080f, + 0.901348847f, 0.433093819f, + 0.902673318f, 0.430326481f, + 0.903989293f, 0.427555093f, + 0.905296759f, 0.424779681f, + 0.906595705f, 0.422000271f, + 0.907886116f, 0.419216888f, + 0.909167983f, 0.416429560f, + 0.910441292f, 0.413638312f, + 0.911706032f, 0.410843171f, + 0.912962190f, 0.408044163f, + 0.914209756f, 0.405241314f, + 0.915448716f, 0.402434651f, + 0.916679060f, 0.399624200f, + 0.917900776f, 0.396809987f, + 0.919113852f, 0.393992040f, + 0.920318277f, 0.391170384f, + 0.921514039f, 0.388345047f, + 0.922701128f, 0.385516054f, + 0.923879533f, 0.382683432f, + 0.925049241f, 0.379847209f, + 0.926210242f, 0.377007410f, + 0.927362526f, 0.374164063f, + 0.928506080f, 0.371317194f, + 0.929640896f, 0.368466830f, + 0.930766961f, 0.365612998f, + 0.931884266f, 0.362755724f, + 0.932992799f, 0.359895037f, + 0.934092550f, 0.357030961f, + 0.935183510f, 0.354163525f, + 0.936265667f, 0.351292756f, + 0.937339012f, 0.348418680f, + 0.938403534f, 0.345541325f, + 0.939459224f, 0.342660717f, + 0.940506071f, 0.339776884f, + 0.941544065f, 0.336889853f, + 0.942573198f, 0.333999651f, + 0.943593458f, 0.331106306f, + 0.944604837f, 0.328209844f, + 0.945607325f, 0.325310292f, + 0.946600913f, 0.322407679f, + 0.947585591f, 0.319502031f, + 0.948561350f, 0.316593376f, + 0.949528181f, 0.313681740f, + 0.950486074f, 0.310767153f, + 0.951435021f, 0.307849640f, + 0.952375013f, 0.304929230f, + 0.953306040f, 0.302005949f, + 0.954228095f, 0.299079826f, + 0.955141168f, 0.296150888f, + 0.956045251f, 0.293219163f, + 0.956940336f, 0.290284677f, + 0.957826413f, 0.287347460f, + 0.958703475f, 0.284407537f, + 0.959571513f, 0.281464938f, + 0.960430519f, 0.278519689f, + 0.961280486f, 0.275571819f, + 0.962121404f, 0.272621355f, + 0.962953267f, 0.269668326f, + 0.963776066f, 0.266712757f, + 0.964589793f, 0.263754679f, + 0.965394442f, 0.260794118f, + 0.966190003f, 0.257831102f, + 0.966976471f, 0.254865660f, + 0.967753837f, 0.251897818f, + 0.968522094f, 0.248927606f, + 0.969281235f, 0.245955050f, + 0.970031253f, 0.242980180f, + 0.970772141f, 0.240003022f, + 0.971503891f, 0.237023606f, + 0.972226497f, 0.234041959f, + 0.972939952f, 0.231058108f, + 0.973644250f, 0.228072083f, + 0.974339383f, 0.225083911f, + 0.975025345f, 0.222093621f, + 0.975702130f, 0.219101240f, + 0.976369731f, 0.216106797f, + 0.977028143f, 0.213110320f, + 0.977677358f, 0.210111837f, + 0.978317371f, 0.207111376f, + 0.978948175f, 0.204108966f, + 0.979569766f, 0.201104635f, + 0.980182136f, 0.198098411f, + 0.980785280f, 0.195090322f, + 0.981379193f, 0.192080397f, + 0.981963869f, 0.189068664f, + 0.982539302f, 0.186055152f, + 0.983105487f, 0.183039888f, + 0.983662419f, 0.180022901f, + 0.984210092f, 0.177004220f, + 0.984748502f, 0.173983873f, + 0.985277642f, 0.170961889f, + 0.985797509f, 0.167938295f, + 0.986308097f, 0.164913120f, + 0.986809402f, 0.161886394f, + 0.987301418f, 0.158858143f, + 0.987784142f, 0.155828398f, + 0.988257568f, 0.152797185f, + 0.988721692f, 0.149764535f, + 0.989176510f, 0.146730474f, + 0.989622017f, 0.143695033f, + 0.990058210f, 0.140658239f, + 0.990485084f, 0.137620122f, + 0.990902635f, 0.134580709f, + 0.991310860f, 0.131540029f, + 0.991709754f, 0.128498111f, + 0.992099313f, 0.125454983f, + 0.992479535f, 0.122410675f, + 0.992850414f, 0.119365215f, + 0.993211949f, 0.116318631f, + 0.993564136f, 0.113270952f, + 0.993906970f, 0.110222207f, + 0.994240449f, 0.107172425f, + 0.994564571f, 0.104121634f, + 0.994879331f, 0.101069863f, + 0.995184727f, 0.098017140f, + 0.995480755f, 0.094963495f, + 0.995767414f, 0.091908956f, + 0.996044701f, 0.088853553f, + 0.996312612f, 0.085797312f, + 0.996571146f, 0.082740265f, + 0.996820299f, 0.079682438f, + 0.997060070f, 0.076623861f, + 0.997290457f, 0.073564564f, + 0.997511456f, 0.070504573f, + 0.997723067f, 0.067443920f, + 0.997925286f, 0.064382631f, + 0.998118113f, 0.061320736f, + 0.998301545f, 0.058258265f, + 0.998475581f, 0.055195244f, + 0.998640218f, 0.052131705f, + 0.998795456f, 0.049067674f, + 0.998941293f, 0.046003182f, + 0.999077728f, 0.042938257f, + 0.999204759f, 0.039872928f, + 0.999322385f, 0.036807223f, + 0.999430605f, 0.033741172f, + 0.999529418f, 0.030674803f, + 0.999618822f, 0.027608146f, + 0.999698819f, 0.024541229f, + 0.999769405f, 0.021474080f, + 0.999830582f, 0.018406730f, + 0.999882347f, 0.015339206f, + 0.999924702f, 0.012271538f, + 0.999957645f, 0.009203755f, + 0.999981175f, 0.006135885f, + 0.999995294f, 0.003067957f, + 1.000000000f, 0.000000000f, + 0.999995294f, -0.003067957f, + 0.999981175f, -0.006135885f, + 0.999957645f, -0.009203755f, + 0.999924702f, -0.012271538f, + 0.999882347f, -0.015339206f, + 0.999830582f, -0.018406730f, + 0.999769405f, -0.021474080f, + 0.999698819f, -0.024541229f, + 0.999618822f, -0.027608146f, + 0.999529418f, -0.030674803f, + 0.999430605f, -0.033741172f, + 0.999322385f, -0.036807223f, + 0.999204759f, -0.039872928f, + 0.999077728f, -0.042938257f, + 0.998941293f, -0.046003182f, + 0.998795456f, -0.049067674f, + 0.998640218f, -0.052131705f, + 0.998475581f, -0.055195244f, + 0.998301545f, -0.058258265f, + 0.998118113f, -0.061320736f, + 0.997925286f, -0.064382631f, + 0.997723067f, -0.067443920f, + 0.997511456f, -0.070504573f, + 0.997290457f, -0.073564564f, + 0.997060070f, -0.076623861f, + 0.996820299f, -0.079682438f, + 0.996571146f, -0.082740265f, + 0.996312612f, -0.085797312f, + 0.996044701f, -0.088853553f, + 0.995767414f, -0.091908956f, + 0.995480755f, -0.094963495f, + 0.995184727f, -0.098017140f, + 0.994879331f, -0.101069863f, + 0.994564571f, -0.104121634f, + 0.994240449f, -0.107172425f, + 0.993906970f, -0.110222207f, + 0.993564136f, -0.113270952f, + 0.993211949f, -0.116318631f, + 0.992850414f, -0.119365215f, + 0.992479535f, -0.122410675f, + 0.992099313f, -0.125454983f, + 0.991709754f, -0.128498111f, + 0.991310860f, -0.131540029f, + 0.990902635f, -0.134580709f, + 0.990485084f, -0.137620122f, + 0.990058210f, -0.140658239f, + 0.989622017f, -0.143695033f, + 0.989176510f, -0.146730474f, + 0.988721692f, -0.149764535f, + 0.988257568f, -0.152797185f, + 0.987784142f, -0.155828398f, + 0.987301418f, -0.158858143f, + 0.986809402f, -0.161886394f, + 0.986308097f, -0.164913120f, + 0.985797509f, -0.167938295f, + 0.985277642f, -0.170961889f, + 0.984748502f, -0.173983873f, + 0.984210092f, -0.177004220f, + 0.983662419f, -0.180022901f, + 0.983105487f, -0.183039888f, + 0.982539302f, -0.186055152f, + 0.981963869f, -0.189068664f, + 0.981379193f, -0.192080397f, + 0.980785280f, -0.195090322f, + 0.980182136f, -0.198098411f, + 0.979569766f, -0.201104635f, + 0.978948175f, -0.204108966f, + 0.978317371f, -0.207111376f, + 0.977677358f, -0.210111837f, + 0.977028143f, -0.213110320f, + 0.976369731f, -0.216106797f, + 0.975702130f, -0.219101240f, + 0.975025345f, -0.222093621f, + 0.974339383f, -0.225083911f, + 0.973644250f, -0.228072083f, + 0.972939952f, -0.231058108f, + 0.972226497f, -0.234041959f, + 0.971503891f, -0.237023606f, + 0.970772141f, -0.240003022f, + 0.970031253f, -0.242980180f, + 0.969281235f, -0.245955050f, + 0.968522094f, -0.248927606f, + 0.967753837f, -0.251897818f, + 0.966976471f, -0.254865660f, + 0.966190003f, -0.257831102f, + 0.965394442f, -0.260794118f, + 0.964589793f, -0.263754679f, + 0.963776066f, -0.266712757f, + 0.962953267f, -0.269668326f, + 0.962121404f, -0.272621355f, + 0.961280486f, -0.275571819f, + 0.960430519f, -0.278519689f, + 0.959571513f, -0.281464938f, + 0.958703475f, -0.284407537f, + 0.957826413f, -0.287347460f, + 0.956940336f, -0.290284677f, + 0.956045251f, -0.293219163f, + 0.955141168f, -0.296150888f, + 0.954228095f, -0.299079826f, + 0.953306040f, -0.302005949f, + 0.952375013f, -0.304929230f, + 0.951435021f, -0.307849640f, + 0.950486074f, -0.310767153f, + 0.949528181f, -0.313681740f, + 0.948561350f, -0.316593376f, + 0.947585591f, -0.319502031f, + 0.946600913f, -0.322407679f, + 0.945607325f, -0.325310292f, + 0.944604837f, -0.328209844f, + 0.943593458f, -0.331106306f, + 0.942573198f, -0.333999651f, + 0.941544065f, -0.336889853f, + 0.940506071f, -0.339776884f, + 0.939459224f, -0.342660717f, + 0.938403534f, -0.345541325f, + 0.937339012f, -0.348418680f, + 0.936265667f, -0.351292756f, + 0.935183510f, -0.354163525f, + 0.934092550f, -0.357030961f, + 0.932992799f, -0.359895037f, + 0.931884266f, -0.362755724f, + 0.930766961f, -0.365612998f, + 0.929640896f, -0.368466830f, + 0.928506080f, -0.371317194f, + 0.927362526f, -0.374164063f, + 0.926210242f, -0.377007410f, + 0.925049241f, -0.379847209f, + 0.923879533f, -0.382683432f, + 0.922701128f, -0.385516054f, + 0.921514039f, -0.388345047f, + 0.920318277f, -0.391170384f, + 0.919113852f, -0.393992040f, + 0.917900776f, -0.396809987f, + 0.916679060f, -0.399624200f, + 0.915448716f, -0.402434651f, + 0.914209756f, -0.405241314f, + 0.912962190f, -0.408044163f, + 0.911706032f, -0.410843171f, + 0.910441292f, -0.413638312f, + 0.909167983f, -0.416429560f, + 0.907886116f, -0.419216888f, + 0.906595705f, -0.422000271f, + 0.905296759f, -0.424779681f, + 0.903989293f, -0.427555093f, + 0.902673318f, -0.430326481f, + 0.901348847f, -0.433093819f, + 0.900015892f, -0.435857080f, + 0.898674466f, -0.438616239f, + 0.897324581f, -0.441371269f, + 0.895966250f, -0.444122145f, + 0.894599486f, -0.446868840f, + 0.893224301f, -0.449611330f, + 0.891840709f, -0.452349587f, + 0.890448723f, -0.455083587f, + 0.889048356f, -0.457813304f, + 0.887639620f, -0.460538711f, + 0.886222530f, -0.463259784f, + 0.884797098f, -0.465976496f, + 0.883363339f, -0.468688822f, + 0.881921264f, -0.471396737f, + 0.880470889f, -0.474100215f, + 0.879012226f, -0.476799230f, + 0.877545290f, -0.479493758f, + 0.876070094f, -0.482183772f, + 0.874586652f, -0.484869248f, + 0.873094978f, -0.487550160f, + 0.871595087f, -0.490226483f, + 0.870086991f, -0.492898192f, + 0.868570706f, -0.495565262f, + 0.867046246f, -0.498227667f, + 0.865513624f, -0.500885383f, + 0.863972856f, -0.503538384f, + 0.862423956f, -0.506186645f, + 0.860866939f, -0.508830143f, + 0.859301818f, -0.511468850f, + 0.857728610f, -0.514102744f, + 0.856147328f, -0.516731799f, + 0.854557988f, -0.519355990f, + 0.852960605f, -0.521975293f, + 0.851355193f, -0.524589683f, + 0.849741768f, -0.527199135f, + 0.848120345f, -0.529803625f, + 0.846490939f, -0.532403128f, + 0.844853565f, -0.534997620f, + 0.843208240f, -0.537587076f, + 0.841554977f, -0.540171473f, + 0.839893794f, -0.542750785f, + 0.838224706f, -0.545324988f, + 0.836547727f, -0.547894059f, + 0.834862875f, -0.550457973f, + 0.833170165f, -0.553016706f, + 0.831469612f, -0.555570233f, + 0.829761234f, -0.558118531f, + 0.828045045f, -0.560661576f, + 0.826321063f, -0.563199344f, + 0.824589303f, -0.565731811f, + 0.822849781f, -0.568258953f, + 0.821102515f, -0.570780746f, + 0.819347520f, -0.573297167f, + 0.817584813f, -0.575808191f, + 0.815814411f, -0.578313796f, + 0.814036330f, -0.580813958f, + 0.812250587f, -0.583308653f, + 0.810457198f, -0.585797857f, + 0.808656182f, -0.588281548f, + 0.806847554f, -0.590759702f, + 0.805031331f, -0.593232295f, + 0.803207531f, -0.595699304f, + 0.801376172f, -0.598160707f, + 0.799537269f, -0.600616479f, + 0.797690841f, -0.603066599f, + 0.795836905f, -0.605511041f, + 0.793975478f, -0.607949785f, + 0.792106577f, -0.610382806f, + 0.790230221f, -0.612810082f, + 0.788346428f, -0.615231591f, + 0.786455214f, -0.617647308f, + 0.784556597f, -0.620057212f, + 0.782650596f, -0.622461279f, + 0.780737229f, -0.624859488f, + 0.778816512f, -0.627251815f, + 0.776888466f, -0.629638239f, + 0.774953107f, -0.632018736f, + 0.773010453f, -0.634393284f, + 0.771060524f, -0.636761861f, + 0.769103338f, -0.639124445f, + 0.767138912f, -0.641481013f, + 0.765167266f, -0.643831543f, + 0.763188417f, -0.646176013f, + 0.761202385f, -0.648514401f, + 0.759209189f, -0.650846685f, + 0.757208847f, -0.653172843f, + 0.755201377f, -0.655492853f, + 0.753186799f, -0.657806693f, + 0.751165132f, -0.660114342f, + 0.749136395f, -0.662415778f, + 0.747100606f, -0.664710978f, + 0.745057785f, -0.666999922f, + 0.743007952f, -0.669282588f, + 0.740951125f, -0.671558955f, + 0.738887324f, -0.673829000f, + 0.736816569f, -0.676092704f, + 0.734738878f, -0.678350043f, + 0.732654272f, -0.680600998f, + 0.730562769f, -0.682845546f, + 0.728464390f, -0.685083668f, + 0.726359155f, -0.687315341f, + 0.724247083f, -0.689540545f, + 0.722128194f, -0.691759258f, + 0.720002508f, -0.693971461f, + 0.717870045f, -0.696177131f, + 0.715730825f, -0.698376249f, + 0.713584869f, -0.700568794f, + 0.711432196f, -0.702754744f, + 0.709272826f, -0.704934080f, + 0.707106781f, -0.707106781f, + 0.704934080f, -0.709272826f, + 0.702754744f, -0.711432196f, + 0.700568794f, -0.713584869f, + 0.698376249f, -0.715730825f, + 0.696177131f, -0.717870045f, + 0.693971461f, -0.720002508f, + 0.691759258f, -0.722128194f, + 0.689540545f, -0.724247083f, + 0.687315341f, -0.726359155f, + 0.685083668f, -0.728464390f, + 0.682845546f, -0.730562769f, + 0.680600998f, -0.732654272f, + 0.678350043f, -0.734738878f, + 0.676092704f, -0.736816569f, + 0.673829000f, -0.738887324f, + 0.671558955f, -0.740951125f, + 0.669282588f, -0.743007952f, + 0.666999922f, -0.745057785f, + 0.664710978f, -0.747100606f, + 0.662415778f, -0.749136395f, + 0.660114342f, -0.751165132f, + 0.657806693f, -0.753186799f, + 0.655492853f, -0.755201377f, + 0.653172843f, -0.757208847f, + 0.650846685f, -0.759209189f, + 0.648514401f, -0.761202385f, + 0.646176013f, -0.763188417f, + 0.643831543f, -0.765167266f, + 0.641481013f, -0.767138912f, + 0.639124445f, -0.769103338f, + 0.636761861f, -0.771060524f, + 0.634393284f, -0.773010453f, + 0.632018736f, -0.774953107f, + 0.629638239f, -0.776888466f, + 0.627251815f, -0.778816512f, + 0.624859488f, -0.780737229f, + 0.622461279f, -0.782650596f, + 0.620057212f, -0.784556597f, + 0.617647308f, -0.786455214f, + 0.615231591f, -0.788346428f, + 0.612810082f, -0.790230221f, + 0.610382806f, -0.792106577f, + 0.607949785f, -0.793975478f, + 0.605511041f, -0.795836905f, + 0.603066599f, -0.797690841f, + 0.600616479f, -0.799537269f, + 0.598160707f, -0.801376172f, + 0.595699304f, -0.803207531f, + 0.593232295f, -0.805031331f, + 0.590759702f, -0.806847554f, + 0.588281548f, -0.808656182f, + 0.585797857f, -0.810457198f, + 0.583308653f, -0.812250587f, + 0.580813958f, -0.814036330f, + 0.578313796f, -0.815814411f, + 0.575808191f, -0.817584813f, + 0.573297167f, -0.819347520f, + 0.570780746f, -0.821102515f, + 0.568258953f, -0.822849781f, + 0.565731811f, -0.824589303f, + 0.563199344f, -0.826321063f, + 0.560661576f, -0.828045045f, + 0.558118531f, -0.829761234f, + 0.555570233f, -0.831469612f, + 0.553016706f, -0.833170165f, + 0.550457973f, -0.834862875f, + 0.547894059f, -0.836547727f, + 0.545324988f, -0.838224706f, + 0.542750785f, -0.839893794f, + 0.540171473f, -0.841554977f, + 0.537587076f, -0.843208240f, + 0.534997620f, -0.844853565f, + 0.532403128f, -0.846490939f, + 0.529803625f, -0.848120345f, + 0.527199135f, -0.849741768f, + 0.524589683f, -0.851355193f, + 0.521975293f, -0.852960605f, + 0.519355990f, -0.854557988f, + 0.516731799f, -0.856147328f, + 0.514102744f, -0.857728610f, + 0.511468850f, -0.859301818f, + 0.508830143f, -0.860866939f, + 0.506186645f, -0.862423956f, + 0.503538384f, -0.863972856f, + 0.500885383f, -0.865513624f, + 0.498227667f, -0.867046246f, + 0.495565262f, -0.868570706f, + 0.492898192f, -0.870086991f, + 0.490226483f, -0.871595087f, + 0.487550160f, -0.873094978f, + 0.484869248f, -0.874586652f, + 0.482183772f, -0.876070094f, + 0.479493758f, -0.877545290f, + 0.476799230f, -0.879012226f, + 0.474100215f, -0.880470889f, + 0.471396737f, -0.881921264f, + 0.468688822f, -0.883363339f, + 0.465976496f, -0.884797098f, + 0.463259784f, -0.886222530f, + 0.460538711f, -0.887639620f, + 0.457813304f, -0.889048356f, + 0.455083587f, -0.890448723f, + 0.452349587f, -0.891840709f, + 0.449611330f, -0.893224301f, + 0.446868840f, -0.894599486f, + 0.444122145f, -0.895966250f, + 0.441371269f, -0.897324581f, + 0.438616239f, -0.898674466f, + 0.435857080f, -0.900015892f, + 0.433093819f, -0.901348847f, + 0.430326481f, -0.902673318f, + 0.427555093f, -0.903989293f, + 0.424779681f, -0.905296759f, + 0.422000271f, -0.906595705f, + 0.419216888f, -0.907886116f, + 0.416429560f, -0.909167983f, + 0.413638312f, -0.910441292f, + 0.410843171f, -0.911706032f, + 0.408044163f, -0.912962190f, + 0.405241314f, -0.914209756f, + 0.402434651f, -0.915448716f, + 0.399624200f, -0.916679060f, + 0.396809987f, -0.917900776f, + 0.393992040f, -0.919113852f, + 0.391170384f, -0.920318277f, + 0.388345047f, -0.921514039f, + 0.385516054f, -0.922701128f, + 0.382683432f, -0.923879533f, + 0.379847209f, -0.925049241f, + 0.377007410f, -0.926210242f, + 0.374164063f, -0.927362526f, + 0.371317194f, -0.928506080f, + 0.368466830f, -0.929640896f, + 0.365612998f, -0.930766961f, + 0.362755724f, -0.931884266f, + 0.359895037f, -0.932992799f, + 0.357030961f, -0.934092550f, + 0.354163525f, -0.935183510f, + 0.351292756f, -0.936265667f, + 0.348418680f, -0.937339012f, + 0.345541325f, -0.938403534f, + 0.342660717f, -0.939459224f, + 0.339776884f, -0.940506071f, + 0.336889853f, -0.941544065f, + 0.333999651f, -0.942573198f, + 0.331106306f, -0.943593458f, + 0.328209844f, -0.944604837f, + 0.325310292f, -0.945607325f, + 0.322407679f, -0.946600913f, + 0.319502031f, -0.947585591f, + 0.316593376f, -0.948561350f, + 0.313681740f, -0.949528181f, + 0.310767153f, -0.950486074f, + 0.307849640f, -0.951435021f, + 0.304929230f, -0.952375013f, + 0.302005949f, -0.953306040f, + 0.299079826f, -0.954228095f, + 0.296150888f, -0.955141168f, + 0.293219163f, -0.956045251f, + 0.290284677f, -0.956940336f, + 0.287347460f, -0.957826413f, + 0.284407537f, -0.958703475f, + 0.281464938f, -0.959571513f, + 0.278519689f, -0.960430519f, + 0.275571819f, -0.961280486f, + 0.272621355f, -0.962121404f, + 0.269668326f, -0.962953267f, + 0.266712757f, -0.963776066f, + 0.263754679f, -0.964589793f, + 0.260794118f, -0.965394442f, + 0.257831102f, -0.966190003f, + 0.254865660f, -0.966976471f, + 0.251897818f, -0.967753837f, + 0.248927606f, -0.968522094f, + 0.245955050f, -0.969281235f, + 0.242980180f, -0.970031253f, + 0.240003022f, -0.970772141f, + 0.237023606f, -0.971503891f, + 0.234041959f, -0.972226497f, + 0.231058108f, -0.972939952f, + 0.228072083f, -0.973644250f, + 0.225083911f, -0.974339383f, + 0.222093621f, -0.975025345f, + 0.219101240f, -0.975702130f, + 0.216106797f, -0.976369731f, + 0.213110320f, -0.977028143f, + 0.210111837f, -0.977677358f, + 0.207111376f, -0.978317371f, + 0.204108966f, -0.978948175f, + 0.201104635f, -0.979569766f, + 0.198098411f, -0.980182136f, + 0.195090322f, -0.980785280f, + 0.192080397f, -0.981379193f, + 0.189068664f, -0.981963869f, + 0.186055152f, -0.982539302f, + 0.183039888f, -0.983105487f, + 0.180022901f, -0.983662419f, + 0.177004220f, -0.984210092f, + 0.173983873f, -0.984748502f, + 0.170961889f, -0.985277642f, + 0.167938295f, -0.985797509f, + 0.164913120f, -0.986308097f, + 0.161886394f, -0.986809402f, + 0.158858143f, -0.987301418f, + 0.155828398f, -0.987784142f, + 0.152797185f, -0.988257568f, + 0.149764535f, -0.988721692f, + 0.146730474f, -0.989176510f, + 0.143695033f, -0.989622017f, + 0.140658239f, -0.990058210f, + 0.137620122f, -0.990485084f, + 0.134580709f, -0.990902635f, + 0.131540029f, -0.991310860f, + 0.128498111f, -0.991709754f, + 0.125454983f, -0.992099313f, + 0.122410675f, -0.992479535f, + 0.119365215f, -0.992850414f, + 0.116318631f, -0.993211949f, + 0.113270952f, -0.993564136f, + 0.110222207f, -0.993906970f, + 0.107172425f, -0.994240449f, + 0.104121634f, -0.994564571f, + 0.101069863f, -0.994879331f, + 0.098017140f, -0.995184727f, + 0.094963495f, -0.995480755f, + 0.091908956f, -0.995767414f, + 0.088853553f, -0.996044701f, + 0.085797312f, -0.996312612f, + 0.082740265f, -0.996571146f, + 0.079682438f, -0.996820299f, + 0.076623861f, -0.997060070f, + 0.073564564f, -0.997290457f, + 0.070504573f, -0.997511456f, + 0.067443920f, -0.997723067f, + 0.064382631f, -0.997925286f, + 0.061320736f, -0.998118113f, + 0.058258265f, -0.998301545f, + 0.055195244f, -0.998475581f, + 0.052131705f, -0.998640218f, + 0.049067674f, -0.998795456f, + 0.046003182f, -0.998941293f, + 0.042938257f, -0.999077728f, + 0.039872928f, -0.999204759f, + 0.036807223f, -0.999322385f, + 0.033741172f, -0.999430605f, + 0.030674803f, -0.999529418f, + 0.027608146f, -0.999618822f, + 0.024541229f, -0.999698819f, + 0.021474080f, -0.999769405f, + 0.018406730f, -0.999830582f, + 0.015339206f, -0.999882347f, + 0.012271538f, -0.999924702f, + 0.009203755f, -0.999957645f, + 0.006135885f, -0.999981175f, + 0.003067957f, -0.999995294f +}; + +const float32_t twiddleCoef_rfft_4096[4096] = { + 0.000000000f, 1.000000000f, + 0.001533980f, 0.999998823f, + 0.003067957f, 0.999995294f, + 0.004601926f, 0.999989411f, + 0.006135885f, 0.999981175f, + 0.007669829f, 0.999970586f, + 0.009203755f, 0.999957645f, + 0.010737659f, 0.999942350f, + 0.012271538f, 0.999924702f, + 0.013805389f, 0.999904701f, + 0.015339206f, 0.999882347f, + 0.016872988f, 0.999857641f, + 0.018406730f, 0.999830582f, + 0.019940429f, 0.999801170f, + 0.021474080f, 0.999769405f, + 0.023007681f, 0.999735288f, + 0.024541229f, 0.999698819f, + 0.026074718f, 0.999659997f, + 0.027608146f, 0.999618822f, + 0.029141509f, 0.999575296f, + 0.030674803f, 0.999529418f, + 0.032208025f, 0.999481187f, + 0.033741172f, 0.999430605f, + 0.035274239f, 0.999377670f, + 0.036807223f, 0.999322385f, + 0.038340120f, 0.999264747f, + 0.039872928f, 0.999204759f, + 0.041405641f, 0.999142419f, + 0.042938257f, 0.999077728f, + 0.044470772f, 0.999010686f, + 0.046003182f, 0.998941293f, + 0.047535484f, 0.998869550f, + 0.049067674f, 0.998795456f, + 0.050599749f, 0.998719012f, + 0.052131705f, 0.998640218f, + 0.053663538f, 0.998559074f, + 0.055195244f, 0.998475581f, + 0.056726821f, 0.998389737f, + 0.058258265f, 0.998301545f, + 0.059789571f, 0.998211003f, + 0.061320736f, 0.998118113f, + 0.062851758f, 0.998022874f, + 0.064382631f, 0.997925286f, + 0.065913353f, 0.997825350f, + 0.067443920f, 0.997723067f, + 0.068974328f, 0.997618435f, + 0.070504573f, 0.997511456f, + 0.072034653f, 0.997402130f, + 0.073564564f, 0.997290457f, + 0.075094301f, 0.997176437f, + 0.076623861f, 0.997060070f, + 0.078153242f, 0.996941358f, + 0.079682438f, 0.996820299f, + 0.081211447f, 0.996696895f, + 0.082740265f, 0.996571146f, + 0.084268888f, 0.996443051f, + 0.085797312f, 0.996312612f, + 0.087325535f, 0.996179829f, + 0.088853553f, 0.996044701f, + 0.090381361f, 0.995907229f, + 0.091908956f, 0.995767414f, + 0.093436336f, 0.995625256f, + 0.094963495f, 0.995480755f, + 0.096490431f, 0.995333912f, + 0.098017140f, 0.995184727f, + 0.099543619f, 0.995033199f, + 0.101069863f, 0.994879331f, + 0.102595869f, 0.994723121f, + 0.104121634f, 0.994564571f, + 0.105647154f, 0.994403680f, + 0.107172425f, 0.994240449f, + 0.108697444f, 0.994074879f, + 0.110222207f, 0.993906970f, + 0.111746711f, 0.993736722f, + 0.113270952f, 0.993564136f, + 0.114794927f, 0.993389211f, + 0.116318631f, 0.993211949f, + 0.117842062f, 0.993032350f, + 0.119365215f, 0.992850414f, + 0.120888087f, 0.992666142f, + 0.122410675f, 0.992479535f, + 0.123932975f, 0.992290591f, + 0.125454983f, 0.992099313f, + 0.126976696f, 0.991905700f, + 0.128498111f, 0.991709754f, + 0.130019223f, 0.991511473f, + 0.131540029f, 0.991310860f, + 0.133060525f, 0.991107914f, + 0.134580709f, 0.990902635f, + 0.136100575f, 0.990695025f, + 0.137620122f, 0.990485084f, + 0.139139344f, 0.990272812f, + 0.140658239f, 0.990058210f, + 0.142176804f, 0.989841278f, + 0.143695033f, 0.989622017f, + 0.145212925f, 0.989400428f, + 0.146730474f, 0.989176510f, + 0.148247679f, 0.988950265f, + 0.149764535f, 0.988721692f, + 0.151281038f, 0.988490793f, + 0.152797185f, 0.988257568f, + 0.154312973f, 0.988022017f, + 0.155828398f, 0.987784142f, + 0.157343456f, 0.987543942f, + 0.158858143f, 0.987301418f, + 0.160372457f, 0.987056571f, + 0.161886394f, 0.986809402f, + 0.163399949f, 0.986559910f, + 0.164913120f, 0.986308097f, + 0.166425904f, 0.986053963f, + 0.167938295f, 0.985797509f, + 0.169450291f, 0.985538735f, + 0.170961889f, 0.985277642f, + 0.172473084f, 0.985014231f, + 0.173983873f, 0.984748502f, + 0.175494253f, 0.984480455f, + 0.177004220f, 0.984210092f, + 0.178513771f, 0.983937413f, + 0.180022901f, 0.983662419f, + 0.181531608f, 0.983385110f, + 0.183039888f, 0.983105487f, + 0.184547737f, 0.982823551f, + 0.186055152f, 0.982539302f, + 0.187562129f, 0.982252741f, + 0.189068664f, 0.981963869f, + 0.190574755f, 0.981672686f, + 0.192080397f, 0.981379193f, + 0.193585587f, 0.981083391f, + 0.195090322f, 0.980785280f, + 0.196594598f, 0.980484862f, + 0.198098411f, 0.980182136f, + 0.199601758f, 0.979877104f, + 0.201104635f, 0.979569766f, + 0.202607039f, 0.979260123f, + 0.204108966f, 0.978948175f, + 0.205610413f, 0.978633924f, + 0.207111376f, 0.978317371f, + 0.208611852f, 0.977998515f, + 0.210111837f, 0.977677358f, + 0.211611327f, 0.977353900f, + 0.213110320f, 0.977028143f, + 0.214608811f, 0.976700086f, + 0.216106797f, 0.976369731f, + 0.217604275f, 0.976037079f, + 0.219101240f, 0.975702130f, + 0.220597690f, 0.975364885f, + 0.222093621f, 0.975025345f, + 0.223589029f, 0.974683511f, + 0.225083911f, 0.974339383f, + 0.226578264f, 0.973992962f, + 0.228072083f, 0.973644250f, + 0.229565366f, 0.973293246f, + 0.231058108f, 0.972939952f, + 0.232550307f, 0.972584369f, + 0.234041959f, 0.972226497f, + 0.235533059f, 0.971866337f, + 0.237023606f, 0.971503891f, + 0.238513595f, 0.971139158f, + 0.240003022f, 0.970772141f, + 0.241491885f, 0.970402839f, + 0.242980180f, 0.970031253f, + 0.244467903f, 0.969657385f, + 0.245955050f, 0.969281235f, + 0.247441619f, 0.968902805f, + 0.248927606f, 0.968522094f, + 0.250413007f, 0.968139105f, + 0.251897818f, 0.967753837f, + 0.253382037f, 0.967366292f, + 0.254865660f, 0.966976471f, + 0.256348682f, 0.966584374f, + 0.257831102f, 0.966190003f, + 0.259312915f, 0.965793359f, + 0.260794118f, 0.965394442f, + 0.262274707f, 0.964993253f, + 0.263754679f, 0.964589793f, + 0.265234030f, 0.964184064f, + 0.266712757f, 0.963776066f, + 0.268190857f, 0.963365800f, + 0.269668326f, 0.962953267f, + 0.271145160f, 0.962538468f, + 0.272621355f, 0.962121404f, + 0.274096910f, 0.961702077f, + 0.275571819f, 0.961280486f, + 0.277046080f, 0.960856633f, + 0.278519689f, 0.960430519f, + 0.279992643f, 0.960002146f, + 0.281464938f, 0.959571513f, + 0.282936570f, 0.959138622f, + 0.284407537f, 0.958703475f, + 0.285877835f, 0.958266071f, + 0.287347460f, 0.957826413f, + 0.288816408f, 0.957384501f, + 0.290284677f, 0.956940336f, + 0.291752263f, 0.956493919f, + 0.293219163f, 0.956045251f, + 0.294685372f, 0.955594334f, + 0.296150888f, 0.955141168f, + 0.297615707f, 0.954685755f, + 0.299079826f, 0.954228095f, + 0.300543241f, 0.953768190f, + 0.302005949f, 0.953306040f, + 0.303467947f, 0.952841648f, + 0.304929230f, 0.952375013f, + 0.306389795f, 0.951906137f, + 0.307849640f, 0.951435021f, + 0.309308760f, 0.950961666f, + 0.310767153f, 0.950486074f, + 0.312224814f, 0.950008245f, + 0.313681740f, 0.949528181f, + 0.315137929f, 0.949045882f, + 0.316593376f, 0.948561350f, + 0.318048077f, 0.948074586f, + 0.319502031f, 0.947585591f, + 0.320955232f, 0.947094366f, + 0.322407679f, 0.946600913f, + 0.323859367f, 0.946105232f, + 0.325310292f, 0.945607325f, + 0.326760452f, 0.945107193f, + 0.328209844f, 0.944604837f, + 0.329658463f, 0.944100258f, + 0.331106306f, 0.943593458f, + 0.332553370f, 0.943084437f, + 0.333999651f, 0.942573198f, + 0.335445147f, 0.942059740f, + 0.336889853f, 0.941544065f, + 0.338333767f, 0.941026175f, + 0.339776884f, 0.940506071f, + 0.341219202f, 0.939983753f, + 0.342660717f, 0.939459224f, + 0.344101426f, 0.938932484f, + 0.345541325f, 0.938403534f, + 0.346980411f, 0.937872376f, + 0.348418680f, 0.937339012f, + 0.349856130f, 0.936803442f, + 0.351292756f, 0.936265667f, + 0.352728556f, 0.935725689f, + 0.354163525f, 0.935183510f, + 0.355597662f, 0.934639130f, + 0.357030961f, 0.934092550f, + 0.358463421f, 0.933543773f, + 0.359895037f, 0.932992799f, + 0.361325806f, 0.932439629f, + 0.362755724f, 0.931884266f, + 0.364184790f, 0.931326709f, + 0.365612998f, 0.930766961f, + 0.367040346f, 0.930205023f, + 0.368466830f, 0.929640896f, + 0.369892447f, 0.929074581f, + 0.371317194f, 0.928506080f, + 0.372741067f, 0.927935395f, + 0.374164063f, 0.927362526f, + 0.375586178f, 0.926787474f, + 0.377007410f, 0.926210242f, + 0.378427755f, 0.925630831f, + 0.379847209f, 0.925049241f, + 0.381265769f, 0.924465474f, + 0.382683432f, 0.923879533f, + 0.384100195f, 0.923291417f, + 0.385516054f, 0.922701128f, + 0.386931006f, 0.922108669f, + 0.388345047f, 0.921514039f, + 0.389758174f, 0.920917242f, + 0.391170384f, 0.920318277f, + 0.392581674f, 0.919717146f, + 0.393992040f, 0.919113852f, + 0.395401479f, 0.918508394f, + 0.396809987f, 0.917900776f, + 0.398217562f, 0.917290997f, + 0.399624200f, 0.916679060f, + 0.401029897f, 0.916064966f, + 0.402434651f, 0.915448716f, + 0.403838458f, 0.914830312f, + 0.405241314f, 0.914209756f, + 0.406643217f, 0.913587048f, + 0.408044163f, 0.912962190f, + 0.409444149f, 0.912335185f, + 0.410843171f, 0.911706032f, + 0.412241227f, 0.911074734f, + 0.413638312f, 0.910441292f, + 0.415034424f, 0.909805708f, + 0.416429560f, 0.909167983f, + 0.417823716f, 0.908528119f, + 0.419216888f, 0.907886116f, + 0.420609074f, 0.907241978f, + 0.422000271f, 0.906595705f, + 0.423390474f, 0.905947298f, + 0.424779681f, 0.905296759f, + 0.426167889f, 0.904644091f, + 0.427555093f, 0.903989293f, + 0.428941292f, 0.903332368f, + 0.430326481f, 0.902673318f, + 0.431710658f, 0.902012144f, + 0.433093819f, 0.901348847f, + 0.434475961f, 0.900683429f, + 0.435857080f, 0.900015892f, + 0.437237174f, 0.899346237f, + 0.438616239f, 0.898674466f, + 0.439994271f, 0.898000580f, + 0.441371269f, 0.897324581f, + 0.442747228f, 0.896646470f, + 0.444122145f, 0.895966250f, + 0.445496017f, 0.895283921f, + 0.446868840f, 0.894599486f, + 0.448240612f, 0.893912945f, + 0.449611330f, 0.893224301f, + 0.450980989f, 0.892533555f, + 0.452349587f, 0.891840709f, + 0.453717121f, 0.891145765f, + 0.455083587f, 0.890448723f, + 0.456448982f, 0.889749586f, + 0.457813304f, 0.889048356f, + 0.459176548f, 0.888345033f, + 0.460538711f, 0.887639620f, + 0.461899791f, 0.886932119f, + 0.463259784f, 0.886222530f, + 0.464618686f, 0.885510856f, + 0.465976496f, 0.884797098f, + 0.467333209f, 0.884081259f, + 0.468688822f, 0.883363339f, + 0.470043332f, 0.882643340f, + 0.471396737f, 0.881921264f, + 0.472749032f, 0.881197113f, + 0.474100215f, 0.880470889f, + 0.475450282f, 0.879742593f, + 0.476799230f, 0.879012226f, + 0.478147056f, 0.878279792f, + 0.479493758f, 0.877545290f, + 0.480839331f, 0.876808724f, + 0.482183772f, 0.876070094f, + 0.483527079f, 0.875329403f, + 0.484869248f, 0.874586652f, + 0.486210276f, 0.873841843f, + 0.487550160f, 0.873094978f, + 0.488888897f, 0.872346059f, + 0.490226483f, 0.871595087f, + 0.491562916f, 0.870842063f, + 0.492898192f, 0.870086991f, + 0.494232309f, 0.869329871f, + 0.495565262f, 0.868570706f, + 0.496897049f, 0.867809497f, + 0.498227667f, 0.867046246f, + 0.499557113f, 0.866280954f, + 0.500885383f, 0.865513624f, + 0.502212474f, 0.864744258f, + 0.503538384f, 0.863972856f, + 0.504863109f, 0.863199422f, + 0.506186645f, 0.862423956f, + 0.507508991f, 0.861646461f, + 0.508830143f, 0.860866939f, + 0.510150097f, 0.860085390f, + 0.511468850f, 0.859301818f, + 0.512786401f, 0.858516224f, + 0.514102744f, 0.857728610f, + 0.515417878f, 0.856938977f, + 0.516731799f, 0.856147328f, + 0.518044504f, 0.855353665f, + 0.519355990f, 0.854557988f, + 0.520666254f, 0.853760301f, + 0.521975293f, 0.852960605f, + 0.523283103f, 0.852158902f, + 0.524589683f, 0.851355193f, + 0.525895027f, 0.850549481f, + 0.527199135f, 0.849741768f, + 0.528502002f, 0.848932055f, + 0.529803625f, 0.848120345f, + 0.531104001f, 0.847306639f, + 0.532403128f, 0.846490939f, + 0.533701002f, 0.845673247f, + 0.534997620f, 0.844853565f, + 0.536292979f, 0.844031895f, + 0.537587076f, 0.843208240f, + 0.538879909f, 0.842382600f, + 0.540171473f, 0.841554977f, + 0.541461766f, 0.840725375f, + 0.542750785f, 0.839893794f, + 0.544038527f, 0.839060237f, + 0.545324988f, 0.838224706f, + 0.546610167f, 0.837387202f, + 0.547894059f, 0.836547727f, + 0.549176662f, 0.835706284f, + 0.550457973f, 0.834862875f, + 0.551737988f, 0.834017501f, + 0.553016706f, 0.833170165f, + 0.554294121f, 0.832320868f, + 0.555570233f, 0.831469612f, + 0.556845037f, 0.830616400f, + 0.558118531f, 0.829761234f, + 0.559390712f, 0.828904115f, + 0.560661576f, 0.828045045f, + 0.561931121f, 0.827184027f, + 0.563199344f, 0.826321063f, + 0.564466242f, 0.825456154f, + 0.565731811f, 0.824589303f, + 0.566996049f, 0.823720511f, + 0.568258953f, 0.822849781f, + 0.569520519f, 0.821977115f, + 0.570780746f, 0.821102515f, + 0.572039629f, 0.820225983f, + 0.573297167f, 0.819347520f, + 0.574553355f, 0.818467130f, + 0.575808191f, 0.817584813f, + 0.577061673f, 0.816700573f, + 0.578313796f, 0.815814411f, + 0.579564559f, 0.814926329f, + 0.580813958f, 0.814036330f, + 0.582061990f, 0.813144415f, + 0.583308653f, 0.812250587f, + 0.584553943f, 0.811354847f, + 0.585797857f, 0.810457198f, + 0.587040394f, 0.809557642f, + 0.588281548f, 0.808656182f, + 0.589521319f, 0.807752818f, + 0.590759702f, 0.806847554f, + 0.591996695f, 0.805940391f, + 0.593232295f, 0.805031331f, + 0.594466499f, 0.804120377f, + 0.595699304f, 0.803207531f, + 0.596930708f, 0.802292796f, + 0.598160707f, 0.801376172f, + 0.599389298f, 0.800457662f, + 0.600616479f, 0.799537269f, + 0.601842247f, 0.798614995f, + 0.603066599f, 0.797690841f, + 0.604289531f, 0.796764810f, + 0.605511041f, 0.795836905f, + 0.606731127f, 0.794907126f, + 0.607949785f, 0.793975478f, + 0.609167012f, 0.793041960f, + 0.610382806f, 0.792106577f, + 0.611597164f, 0.791169330f, + 0.612810082f, 0.790230221f, + 0.614021559f, 0.789289253f, + 0.615231591f, 0.788346428f, + 0.616440175f, 0.787401747f, + 0.617647308f, 0.786455214f, + 0.618852988f, 0.785506830f, + 0.620057212f, 0.784556597f, + 0.621259977f, 0.783604519f, + 0.622461279f, 0.782650596f, + 0.623661118f, 0.781694832f, + 0.624859488f, 0.780737229f, + 0.626056388f, 0.779777788f, + 0.627251815f, 0.778816512f, + 0.628445767f, 0.777853404f, + 0.629638239f, 0.776888466f, + 0.630829230f, 0.775921699f, + 0.632018736f, 0.774953107f, + 0.633206755f, 0.773982691f, + 0.634393284f, 0.773010453f, + 0.635578320f, 0.772036397f, + 0.636761861f, 0.771060524f, + 0.637943904f, 0.770082837f, + 0.639124445f, 0.769103338f, + 0.640303482f, 0.768122029f, + 0.641481013f, 0.767138912f, + 0.642657034f, 0.766153990f, + 0.643831543f, 0.765167266f, + 0.645004537f, 0.764178741f, + 0.646176013f, 0.763188417f, + 0.647345969f, 0.762196298f, + 0.648514401f, 0.761202385f, + 0.649681307f, 0.760206682f, + 0.650846685f, 0.759209189f, + 0.652010531f, 0.758209910f, + 0.653172843f, 0.757208847f, + 0.654333618f, 0.756206001f, + 0.655492853f, 0.755201377f, + 0.656650546f, 0.754194975f, + 0.657806693f, 0.753186799f, + 0.658961293f, 0.752176850f, + 0.660114342f, 0.751165132f, + 0.661265838f, 0.750151646f, + 0.662415778f, 0.749136395f, + 0.663564159f, 0.748119380f, + 0.664710978f, 0.747100606f, + 0.665856234f, 0.746080074f, + 0.666999922f, 0.745057785f, + 0.668142041f, 0.744033744f, + 0.669282588f, 0.743007952f, + 0.670421560f, 0.741980412f, + 0.671558955f, 0.740951125f, + 0.672694769f, 0.739920095f, + 0.673829000f, 0.738887324f, + 0.674961646f, 0.737852815f, + 0.676092704f, 0.736816569f, + 0.677222170f, 0.735778589f, + 0.678350043f, 0.734738878f, + 0.679476320f, 0.733697438f, + 0.680600998f, 0.732654272f, + 0.681724074f, 0.731609381f, + 0.682845546f, 0.730562769f, + 0.683965412f, 0.729514438f, + 0.685083668f, 0.728464390f, + 0.686200312f, 0.727412629f, + 0.687315341f, 0.726359155f, + 0.688428753f, 0.725303972f, + 0.689540545f, 0.724247083f, + 0.690650714f, 0.723188489f, + 0.691759258f, 0.722128194f, + 0.692866175f, 0.721066199f, + 0.693971461f, 0.720002508f, + 0.695075114f, 0.718937122f, + 0.696177131f, 0.717870045f, + 0.697277511f, 0.716801279f, + 0.698376249f, 0.715730825f, + 0.699473345f, 0.714658688f, + 0.700568794f, 0.713584869f, + 0.701662595f, 0.712509371f, + 0.702754744f, 0.711432196f, + 0.703845241f, 0.710353347f, + 0.704934080f, 0.709272826f, + 0.706021261f, 0.708190637f, + 0.707106781f, 0.707106781f, + 0.708190637f, 0.706021261f, + 0.709272826f, 0.704934080f, + 0.710353347f, 0.703845241f, + 0.711432196f, 0.702754744f, + 0.712509371f, 0.701662595f, + 0.713584869f, 0.700568794f, + 0.714658688f, 0.699473345f, + 0.715730825f, 0.698376249f, + 0.716801279f, 0.697277511f, + 0.717870045f, 0.696177131f, + 0.718937122f, 0.695075114f, + 0.720002508f, 0.693971461f, + 0.721066199f, 0.692866175f, + 0.722128194f, 0.691759258f, + 0.723188489f, 0.690650714f, + 0.724247083f, 0.689540545f, + 0.725303972f, 0.688428753f, + 0.726359155f, 0.687315341f, + 0.727412629f, 0.686200312f, + 0.728464390f, 0.685083668f, + 0.729514438f, 0.683965412f, + 0.730562769f, 0.682845546f, + 0.731609381f, 0.681724074f, + 0.732654272f, 0.680600998f, + 0.733697438f, 0.679476320f, + 0.734738878f, 0.678350043f, + 0.735778589f, 0.677222170f, + 0.736816569f, 0.676092704f, + 0.737852815f, 0.674961646f, + 0.738887324f, 0.673829000f, + 0.739920095f, 0.672694769f, + 0.740951125f, 0.671558955f, + 0.741980412f, 0.670421560f, + 0.743007952f, 0.669282588f, + 0.744033744f, 0.668142041f, + 0.745057785f, 0.666999922f, + 0.746080074f, 0.665856234f, + 0.747100606f, 0.664710978f, + 0.748119380f, 0.663564159f, + 0.749136395f, 0.662415778f, + 0.750151646f, 0.661265838f, + 0.751165132f, 0.660114342f, + 0.752176850f, 0.658961293f, + 0.753186799f, 0.657806693f, + 0.754194975f, 0.656650546f, + 0.755201377f, 0.655492853f, + 0.756206001f, 0.654333618f, + 0.757208847f, 0.653172843f, + 0.758209910f, 0.652010531f, + 0.759209189f, 0.650846685f, + 0.760206682f, 0.649681307f, + 0.761202385f, 0.648514401f, + 0.762196298f, 0.647345969f, + 0.763188417f, 0.646176013f, + 0.764178741f, 0.645004537f, + 0.765167266f, 0.643831543f, + 0.766153990f, 0.642657034f, + 0.767138912f, 0.641481013f, + 0.768122029f, 0.640303482f, + 0.769103338f, 0.639124445f, + 0.770082837f, 0.637943904f, + 0.771060524f, 0.636761861f, + 0.772036397f, 0.635578320f, + 0.773010453f, 0.634393284f, + 0.773982691f, 0.633206755f, + 0.774953107f, 0.632018736f, + 0.775921699f, 0.630829230f, + 0.776888466f, 0.629638239f, + 0.777853404f, 0.628445767f, + 0.778816512f, 0.627251815f, + 0.779777788f, 0.626056388f, + 0.780737229f, 0.624859488f, + 0.781694832f, 0.623661118f, + 0.782650596f, 0.622461279f, + 0.783604519f, 0.621259977f, + 0.784556597f, 0.620057212f, + 0.785506830f, 0.618852988f, + 0.786455214f, 0.617647308f, + 0.787401747f, 0.616440175f, + 0.788346428f, 0.615231591f, + 0.789289253f, 0.614021559f, + 0.790230221f, 0.612810082f, + 0.791169330f, 0.611597164f, + 0.792106577f, 0.610382806f, + 0.793041960f, 0.609167012f, + 0.793975478f, 0.607949785f, + 0.794907126f, 0.606731127f, + 0.795836905f, 0.605511041f, + 0.796764810f, 0.604289531f, + 0.797690841f, 0.603066599f, + 0.798614995f, 0.601842247f, + 0.799537269f, 0.600616479f, + 0.800457662f, 0.599389298f, + 0.801376172f, 0.598160707f, + 0.802292796f, 0.596930708f, + 0.803207531f, 0.595699304f, + 0.804120377f, 0.594466499f, + 0.805031331f, 0.593232295f, + 0.805940391f, 0.591996695f, + 0.806847554f, 0.590759702f, + 0.807752818f, 0.589521319f, + 0.808656182f, 0.588281548f, + 0.809557642f, 0.587040394f, + 0.810457198f, 0.585797857f, + 0.811354847f, 0.584553943f, + 0.812250587f, 0.583308653f, + 0.813144415f, 0.582061990f, + 0.814036330f, 0.580813958f, + 0.814926329f, 0.579564559f, + 0.815814411f, 0.578313796f, + 0.816700573f, 0.577061673f, + 0.817584813f, 0.575808191f, + 0.818467130f, 0.574553355f, + 0.819347520f, 0.573297167f, + 0.820225983f, 0.572039629f, + 0.821102515f, 0.570780746f, + 0.821977115f, 0.569520519f, + 0.822849781f, 0.568258953f, + 0.823720511f, 0.566996049f, + 0.824589303f, 0.565731811f, + 0.825456154f, 0.564466242f, + 0.826321063f, 0.563199344f, + 0.827184027f, 0.561931121f, + 0.828045045f, 0.560661576f, + 0.828904115f, 0.559390712f, + 0.829761234f, 0.558118531f, + 0.830616400f, 0.556845037f, + 0.831469612f, 0.555570233f, + 0.832320868f, 0.554294121f, + 0.833170165f, 0.553016706f, + 0.834017501f, 0.551737988f, + 0.834862875f, 0.550457973f, + 0.835706284f, 0.549176662f, + 0.836547727f, 0.547894059f, + 0.837387202f, 0.546610167f, + 0.838224706f, 0.545324988f, + 0.839060237f, 0.544038527f, + 0.839893794f, 0.542750785f, + 0.840725375f, 0.541461766f, + 0.841554977f, 0.540171473f, + 0.842382600f, 0.538879909f, + 0.843208240f, 0.537587076f, + 0.844031895f, 0.536292979f, + 0.844853565f, 0.534997620f, + 0.845673247f, 0.533701002f, + 0.846490939f, 0.532403128f, + 0.847306639f, 0.531104001f, + 0.848120345f, 0.529803625f, + 0.848932055f, 0.528502002f, + 0.849741768f, 0.527199135f, + 0.850549481f, 0.525895027f, + 0.851355193f, 0.524589683f, + 0.852158902f, 0.523283103f, + 0.852960605f, 0.521975293f, + 0.853760301f, 0.520666254f, + 0.854557988f, 0.519355990f, + 0.855353665f, 0.518044504f, + 0.856147328f, 0.516731799f, + 0.856938977f, 0.515417878f, + 0.857728610f, 0.514102744f, + 0.858516224f, 0.512786401f, + 0.859301818f, 0.511468850f, + 0.860085390f, 0.510150097f, + 0.860866939f, 0.508830143f, + 0.861646461f, 0.507508991f, + 0.862423956f, 0.506186645f, + 0.863199422f, 0.504863109f, + 0.863972856f, 0.503538384f, + 0.864744258f, 0.502212474f, + 0.865513624f, 0.500885383f, + 0.866280954f, 0.499557113f, + 0.867046246f, 0.498227667f, + 0.867809497f, 0.496897049f, + 0.868570706f, 0.495565262f, + 0.869329871f, 0.494232309f, + 0.870086991f, 0.492898192f, + 0.870842063f, 0.491562916f, + 0.871595087f, 0.490226483f, + 0.872346059f, 0.488888897f, + 0.873094978f, 0.487550160f, + 0.873841843f, 0.486210276f, + 0.874586652f, 0.484869248f, + 0.875329403f, 0.483527079f, + 0.876070094f, 0.482183772f, + 0.876808724f, 0.480839331f, + 0.877545290f, 0.479493758f, + 0.878279792f, 0.478147056f, + 0.879012226f, 0.476799230f, + 0.879742593f, 0.475450282f, + 0.880470889f, 0.474100215f, + 0.881197113f, 0.472749032f, + 0.881921264f, 0.471396737f, + 0.882643340f, 0.470043332f, + 0.883363339f, 0.468688822f, + 0.884081259f, 0.467333209f, + 0.884797098f, 0.465976496f, + 0.885510856f, 0.464618686f, + 0.886222530f, 0.463259784f, + 0.886932119f, 0.461899791f, + 0.887639620f, 0.460538711f, + 0.888345033f, 0.459176548f, + 0.889048356f, 0.457813304f, + 0.889749586f, 0.456448982f, + 0.890448723f, 0.455083587f, + 0.891145765f, 0.453717121f, + 0.891840709f, 0.452349587f, + 0.892533555f, 0.450980989f, + 0.893224301f, 0.449611330f, + 0.893912945f, 0.448240612f, + 0.894599486f, 0.446868840f, + 0.895283921f, 0.445496017f, + 0.895966250f, 0.444122145f, + 0.896646470f, 0.442747228f, + 0.897324581f, 0.441371269f, + 0.898000580f, 0.439994271f, + 0.898674466f, 0.438616239f, + 0.899346237f, 0.437237174f, + 0.900015892f, 0.435857080f, + 0.900683429f, 0.434475961f, + 0.901348847f, 0.433093819f, + 0.902012144f, 0.431710658f, + 0.902673318f, 0.430326481f, + 0.903332368f, 0.428941292f, + 0.903989293f, 0.427555093f, + 0.904644091f, 0.426167889f, + 0.905296759f, 0.424779681f, + 0.905947298f, 0.423390474f, + 0.906595705f, 0.422000271f, + 0.907241978f, 0.420609074f, + 0.907886116f, 0.419216888f, + 0.908528119f, 0.417823716f, + 0.909167983f, 0.416429560f, + 0.909805708f, 0.415034424f, + 0.910441292f, 0.413638312f, + 0.911074734f, 0.412241227f, + 0.911706032f, 0.410843171f, + 0.912335185f, 0.409444149f, + 0.912962190f, 0.408044163f, + 0.913587048f, 0.406643217f, + 0.914209756f, 0.405241314f, + 0.914830312f, 0.403838458f, + 0.915448716f, 0.402434651f, + 0.916064966f, 0.401029897f, + 0.916679060f, 0.399624200f, + 0.917290997f, 0.398217562f, + 0.917900776f, 0.396809987f, + 0.918508394f, 0.395401479f, + 0.919113852f, 0.393992040f, + 0.919717146f, 0.392581674f, + 0.920318277f, 0.391170384f, + 0.920917242f, 0.389758174f, + 0.921514039f, 0.388345047f, + 0.922108669f, 0.386931006f, + 0.922701128f, 0.385516054f, + 0.923291417f, 0.384100195f, + 0.923879533f, 0.382683432f, + 0.924465474f, 0.381265769f, + 0.925049241f, 0.379847209f, + 0.925630831f, 0.378427755f, + 0.926210242f, 0.377007410f, + 0.926787474f, 0.375586178f, + 0.927362526f, 0.374164063f, + 0.927935395f, 0.372741067f, + 0.928506080f, 0.371317194f, + 0.929074581f, 0.369892447f, + 0.929640896f, 0.368466830f, + 0.930205023f, 0.367040346f, + 0.930766961f, 0.365612998f, + 0.931326709f, 0.364184790f, + 0.931884266f, 0.362755724f, + 0.932439629f, 0.361325806f, + 0.932992799f, 0.359895037f, + 0.933543773f, 0.358463421f, + 0.934092550f, 0.357030961f, + 0.934639130f, 0.355597662f, + 0.935183510f, 0.354163525f, + 0.935725689f, 0.352728556f, + 0.936265667f, 0.351292756f, + 0.936803442f, 0.349856130f, + 0.937339012f, 0.348418680f, + 0.937872376f, 0.346980411f, + 0.938403534f, 0.345541325f, + 0.938932484f, 0.344101426f, + 0.939459224f, 0.342660717f, + 0.939983753f, 0.341219202f, + 0.940506071f, 0.339776884f, + 0.941026175f, 0.338333767f, + 0.941544065f, 0.336889853f, + 0.942059740f, 0.335445147f, + 0.942573198f, 0.333999651f, + 0.943084437f, 0.332553370f, + 0.943593458f, 0.331106306f, + 0.944100258f, 0.329658463f, + 0.944604837f, 0.328209844f, + 0.945107193f, 0.326760452f, + 0.945607325f, 0.325310292f, + 0.946105232f, 0.323859367f, + 0.946600913f, 0.322407679f, + 0.947094366f, 0.320955232f, + 0.947585591f, 0.319502031f, + 0.948074586f, 0.318048077f, + 0.948561350f, 0.316593376f, + 0.949045882f, 0.315137929f, + 0.949528181f, 0.313681740f, + 0.950008245f, 0.312224814f, + 0.950486074f, 0.310767153f, + 0.950961666f, 0.309308760f, + 0.951435021f, 0.307849640f, + 0.951906137f, 0.306389795f, + 0.952375013f, 0.304929230f, + 0.952841648f, 0.303467947f, + 0.953306040f, 0.302005949f, + 0.953768190f, 0.300543241f, + 0.954228095f, 0.299079826f, + 0.954685755f, 0.297615707f, + 0.955141168f, 0.296150888f, + 0.955594334f, 0.294685372f, + 0.956045251f, 0.293219163f, + 0.956493919f, 0.291752263f, + 0.956940336f, 0.290284677f, + 0.957384501f, 0.288816408f, + 0.957826413f, 0.287347460f, + 0.958266071f, 0.285877835f, + 0.958703475f, 0.284407537f, + 0.959138622f, 0.282936570f, + 0.959571513f, 0.281464938f, + 0.960002146f, 0.279992643f, + 0.960430519f, 0.278519689f, + 0.960856633f, 0.277046080f, + 0.961280486f, 0.275571819f, + 0.961702077f, 0.274096910f, + 0.962121404f, 0.272621355f, + 0.962538468f, 0.271145160f, + 0.962953267f, 0.269668326f, + 0.963365800f, 0.268190857f, + 0.963776066f, 0.266712757f, + 0.964184064f, 0.265234030f, + 0.964589793f, 0.263754679f, + 0.964993253f, 0.262274707f, + 0.965394442f, 0.260794118f, + 0.965793359f, 0.259312915f, + 0.966190003f, 0.257831102f, + 0.966584374f, 0.256348682f, + 0.966976471f, 0.254865660f, + 0.967366292f, 0.253382037f, + 0.967753837f, 0.251897818f, + 0.968139105f, 0.250413007f, + 0.968522094f, 0.248927606f, + 0.968902805f, 0.247441619f, + 0.969281235f, 0.245955050f, + 0.969657385f, 0.244467903f, + 0.970031253f, 0.242980180f, + 0.970402839f, 0.241491885f, + 0.970772141f, 0.240003022f, + 0.971139158f, 0.238513595f, + 0.971503891f, 0.237023606f, + 0.971866337f, 0.235533059f, + 0.972226497f, 0.234041959f, + 0.972584369f, 0.232550307f, + 0.972939952f, 0.231058108f, + 0.973293246f, 0.229565366f, + 0.973644250f, 0.228072083f, + 0.973992962f, 0.226578264f, + 0.974339383f, 0.225083911f, + 0.974683511f, 0.223589029f, + 0.975025345f, 0.222093621f, + 0.975364885f, 0.220597690f, + 0.975702130f, 0.219101240f, + 0.976037079f, 0.217604275f, + 0.976369731f, 0.216106797f, + 0.976700086f, 0.214608811f, + 0.977028143f, 0.213110320f, + 0.977353900f, 0.211611327f, + 0.977677358f, 0.210111837f, + 0.977998515f, 0.208611852f, + 0.978317371f, 0.207111376f, + 0.978633924f, 0.205610413f, + 0.978948175f, 0.204108966f, + 0.979260123f, 0.202607039f, + 0.979569766f, 0.201104635f, + 0.979877104f, 0.199601758f, + 0.980182136f, 0.198098411f, + 0.980484862f, 0.196594598f, + 0.980785280f, 0.195090322f, + 0.981083391f, 0.193585587f, + 0.981379193f, 0.192080397f, + 0.981672686f, 0.190574755f, + 0.981963869f, 0.189068664f, + 0.982252741f, 0.187562129f, + 0.982539302f, 0.186055152f, + 0.982823551f, 0.184547737f, + 0.983105487f, 0.183039888f, + 0.983385110f, 0.181531608f, + 0.983662419f, 0.180022901f, + 0.983937413f, 0.178513771f, + 0.984210092f, 0.177004220f, + 0.984480455f, 0.175494253f, + 0.984748502f, 0.173983873f, + 0.985014231f, 0.172473084f, + 0.985277642f, 0.170961889f, + 0.985538735f, 0.169450291f, + 0.985797509f, 0.167938295f, + 0.986053963f, 0.166425904f, + 0.986308097f, 0.164913120f, + 0.986559910f, 0.163399949f, + 0.986809402f, 0.161886394f, + 0.987056571f, 0.160372457f, + 0.987301418f, 0.158858143f, + 0.987543942f, 0.157343456f, + 0.987784142f, 0.155828398f, + 0.988022017f, 0.154312973f, + 0.988257568f, 0.152797185f, + 0.988490793f, 0.151281038f, + 0.988721692f, 0.149764535f, + 0.988950265f, 0.148247679f, + 0.989176510f, 0.146730474f, + 0.989400428f, 0.145212925f, + 0.989622017f, 0.143695033f, + 0.989841278f, 0.142176804f, + 0.990058210f, 0.140658239f, + 0.990272812f, 0.139139344f, + 0.990485084f, 0.137620122f, + 0.990695025f, 0.136100575f, + 0.990902635f, 0.134580709f, + 0.991107914f, 0.133060525f, + 0.991310860f, 0.131540029f, + 0.991511473f, 0.130019223f, + 0.991709754f, 0.128498111f, + 0.991905700f, 0.126976696f, + 0.992099313f, 0.125454983f, + 0.992290591f, 0.123932975f, + 0.992479535f, 0.122410675f, + 0.992666142f, 0.120888087f, + 0.992850414f, 0.119365215f, + 0.993032350f, 0.117842062f, + 0.993211949f, 0.116318631f, + 0.993389211f, 0.114794927f, + 0.993564136f, 0.113270952f, + 0.993736722f, 0.111746711f, + 0.993906970f, 0.110222207f, + 0.994074879f, 0.108697444f, + 0.994240449f, 0.107172425f, + 0.994403680f, 0.105647154f, + 0.994564571f, 0.104121634f, + 0.994723121f, 0.102595869f, + 0.994879331f, 0.101069863f, + 0.995033199f, 0.099543619f, + 0.995184727f, 0.098017140f, + 0.995333912f, 0.096490431f, + 0.995480755f, 0.094963495f, + 0.995625256f, 0.093436336f, + 0.995767414f, 0.091908956f, + 0.995907229f, 0.090381361f, + 0.996044701f, 0.088853553f, + 0.996179829f, 0.087325535f, + 0.996312612f, 0.085797312f, + 0.996443051f, 0.084268888f, + 0.996571146f, 0.082740265f, + 0.996696895f, 0.081211447f, + 0.996820299f, 0.079682438f, + 0.996941358f, 0.078153242f, + 0.997060070f, 0.076623861f, + 0.997176437f, 0.075094301f, + 0.997290457f, 0.073564564f, + 0.997402130f, 0.072034653f, + 0.997511456f, 0.070504573f, + 0.997618435f, 0.068974328f, + 0.997723067f, 0.067443920f, + 0.997825350f, 0.065913353f, + 0.997925286f, 0.064382631f, + 0.998022874f, 0.062851758f, + 0.998118113f, 0.061320736f, + 0.998211003f, 0.059789571f, + 0.998301545f, 0.058258265f, + 0.998389737f, 0.056726821f, + 0.998475581f, 0.055195244f, + 0.998559074f, 0.053663538f, + 0.998640218f, 0.052131705f, + 0.998719012f, 0.050599749f, + 0.998795456f, 0.049067674f, + 0.998869550f, 0.047535484f, + 0.998941293f, 0.046003182f, + 0.999010686f, 0.044470772f, + 0.999077728f, 0.042938257f, + 0.999142419f, 0.041405641f, + 0.999204759f, 0.039872928f, + 0.999264747f, 0.038340120f, + 0.999322385f, 0.036807223f, + 0.999377670f, 0.035274239f, + 0.999430605f, 0.033741172f, + 0.999481187f, 0.032208025f, + 0.999529418f, 0.030674803f, + 0.999575296f, 0.029141509f, + 0.999618822f, 0.027608146f, + 0.999659997f, 0.026074718f, + 0.999698819f, 0.024541229f, + 0.999735288f, 0.023007681f, + 0.999769405f, 0.021474080f, + 0.999801170f, 0.019940429f, + 0.999830582f, 0.018406730f, + 0.999857641f, 0.016872988f, + 0.999882347f, 0.015339206f, + 0.999904701f, 0.013805389f, + 0.999924702f, 0.012271538f, + 0.999942350f, 0.010737659f, + 0.999957645f, 0.009203755f, + 0.999970586f, 0.007669829f, + 0.999981175f, 0.006135885f, + 0.999989411f, 0.004601926f, + 0.999995294f, 0.003067957f, + 0.999998823f, 0.001533980f, + 1.000000000f, 0.000000000f, + 0.999998823f, -0.001533980f, + 0.999995294f, -0.003067957f, + 0.999989411f, -0.004601926f, + 0.999981175f, -0.006135885f, + 0.999970586f, -0.007669829f, + 0.999957645f, -0.009203755f, + 0.999942350f, -0.010737659f, + 0.999924702f, -0.012271538f, + 0.999904701f, -0.013805389f, + 0.999882347f, -0.015339206f, + 0.999857641f, -0.016872988f, + 0.999830582f, -0.018406730f, + 0.999801170f, -0.019940429f, + 0.999769405f, -0.021474080f, + 0.999735288f, -0.023007681f, + 0.999698819f, -0.024541229f, + 0.999659997f, -0.026074718f, + 0.999618822f, -0.027608146f, + 0.999575296f, -0.029141509f, + 0.999529418f, -0.030674803f, + 0.999481187f, -0.032208025f, + 0.999430605f, -0.033741172f, + 0.999377670f, -0.035274239f, + 0.999322385f, -0.036807223f, + 0.999264747f, -0.038340120f, + 0.999204759f, -0.039872928f, + 0.999142419f, -0.041405641f, + 0.999077728f, -0.042938257f, + 0.999010686f, -0.044470772f, + 0.998941293f, -0.046003182f, + 0.998869550f, -0.047535484f, + 0.998795456f, -0.049067674f, + 0.998719012f, -0.050599749f, + 0.998640218f, -0.052131705f, + 0.998559074f, -0.053663538f, + 0.998475581f, -0.055195244f, + 0.998389737f, -0.056726821f, + 0.998301545f, -0.058258265f, + 0.998211003f, -0.059789571f, + 0.998118113f, -0.061320736f, + 0.998022874f, -0.062851758f, + 0.997925286f, -0.064382631f, + 0.997825350f, -0.065913353f, + 0.997723067f, -0.067443920f, + 0.997618435f, -0.068974328f, + 0.997511456f, -0.070504573f, + 0.997402130f, -0.072034653f, + 0.997290457f, -0.073564564f, + 0.997176437f, -0.075094301f, + 0.997060070f, -0.076623861f, + 0.996941358f, -0.078153242f, + 0.996820299f, -0.079682438f, + 0.996696895f, -0.081211447f, + 0.996571146f, -0.082740265f, + 0.996443051f, -0.084268888f, + 0.996312612f, -0.085797312f, + 0.996179829f, -0.087325535f, + 0.996044701f, -0.088853553f, + 0.995907229f, -0.090381361f, + 0.995767414f, -0.091908956f, + 0.995625256f, -0.093436336f, + 0.995480755f, -0.094963495f, + 0.995333912f, -0.096490431f, + 0.995184727f, -0.098017140f, + 0.995033199f, -0.099543619f, + 0.994879331f, -0.101069863f, + 0.994723121f, -0.102595869f, + 0.994564571f, -0.104121634f, + 0.994403680f, -0.105647154f, + 0.994240449f, -0.107172425f, + 0.994074879f, -0.108697444f, + 0.993906970f, -0.110222207f, + 0.993736722f, -0.111746711f, + 0.993564136f, -0.113270952f, + 0.993389211f, -0.114794927f, + 0.993211949f, -0.116318631f, + 0.993032350f, -0.117842062f, + 0.992850414f, -0.119365215f, + 0.992666142f, -0.120888087f, + 0.992479535f, -0.122410675f, + 0.992290591f, -0.123932975f, + 0.992099313f, -0.125454983f, + 0.991905700f, -0.126976696f, + 0.991709754f, -0.128498111f, + 0.991511473f, -0.130019223f, + 0.991310860f, -0.131540029f, + 0.991107914f, -0.133060525f, + 0.990902635f, -0.134580709f, + 0.990695025f, -0.136100575f, + 0.990485084f, -0.137620122f, + 0.990272812f, -0.139139344f, + 0.990058210f, -0.140658239f, + 0.989841278f, -0.142176804f, + 0.989622017f, -0.143695033f, + 0.989400428f, -0.145212925f, + 0.989176510f, -0.146730474f, + 0.988950265f, -0.148247679f, + 0.988721692f, -0.149764535f, + 0.988490793f, -0.151281038f, + 0.988257568f, -0.152797185f, + 0.988022017f, -0.154312973f, + 0.987784142f, -0.155828398f, + 0.987543942f, -0.157343456f, + 0.987301418f, -0.158858143f, + 0.987056571f, -0.160372457f, + 0.986809402f, -0.161886394f, + 0.986559910f, -0.163399949f, + 0.986308097f, -0.164913120f, + 0.986053963f, -0.166425904f, + 0.985797509f, -0.167938295f, + 0.985538735f, -0.169450291f, + 0.985277642f, -0.170961889f, + 0.985014231f, -0.172473084f, + 0.984748502f, -0.173983873f, + 0.984480455f, -0.175494253f, + 0.984210092f, -0.177004220f, + 0.983937413f, -0.178513771f, + 0.983662419f, -0.180022901f, + 0.983385110f, -0.181531608f, + 0.983105487f, -0.183039888f, + 0.982823551f, -0.184547737f, + 0.982539302f, -0.186055152f, + 0.982252741f, -0.187562129f, + 0.981963869f, -0.189068664f, + 0.981672686f, -0.190574755f, + 0.981379193f, -0.192080397f, + 0.981083391f, -0.193585587f, + 0.980785280f, -0.195090322f, + 0.980484862f, -0.196594598f, + 0.980182136f, -0.198098411f, + 0.979877104f, -0.199601758f, + 0.979569766f, -0.201104635f, + 0.979260123f, -0.202607039f, + 0.978948175f, -0.204108966f, + 0.978633924f, -0.205610413f, + 0.978317371f, -0.207111376f, + 0.977998515f, -0.208611852f, + 0.977677358f, -0.210111837f, + 0.977353900f, -0.211611327f, + 0.977028143f, -0.213110320f, + 0.976700086f, -0.214608811f, + 0.976369731f, -0.216106797f, + 0.976037079f, -0.217604275f, + 0.975702130f, -0.219101240f, + 0.975364885f, -0.220597690f, + 0.975025345f, -0.222093621f, + 0.974683511f, -0.223589029f, + 0.974339383f, -0.225083911f, + 0.973992962f, -0.226578264f, + 0.973644250f, -0.228072083f, + 0.973293246f, -0.229565366f, + 0.972939952f, -0.231058108f, + 0.972584369f, -0.232550307f, + 0.972226497f, -0.234041959f, + 0.971866337f, -0.235533059f, + 0.971503891f, -0.237023606f, + 0.971139158f, -0.238513595f, + 0.970772141f, -0.240003022f, + 0.970402839f, -0.241491885f, + 0.970031253f, -0.242980180f, + 0.969657385f, -0.244467903f, + 0.969281235f, -0.245955050f, + 0.968902805f, -0.247441619f, + 0.968522094f, -0.248927606f, + 0.968139105f, -0.250413007f, + 0.967753837f, -0.251897818f, + 0.967366292f, -0.253382037f, + 0.966976471f, -0.254865660f, + 0.966584374f, -0.256348682f, + 0.966190003f, -0.257831102f, + 0.965793359f, -0.259312915f, + 0.965394442f, -0.260794118f, + 0.964993253f, -0.262274707f, + 0.964589793f, -0.263754679f, + 0.964184064f, -0.265234030f, + 0.963776066f, -0.266712757f, + 0.963365800f, -0.268190857f, + 0.962953267f, -0.269668326f, + 0.962538468f, -0.271145160f, + 0.962121404f, -0.272621355f, + 0.961702077f, -0.274096910f, + 0.961280486f, -0.275571819f, + 0.960856633f, -0.277046080f, + 0.960430519f, -0.278519689f, + 0.960002146f, -0.279992643f, + 0.959571513f, -0.281464938f, + 0.959138622f, -0.282936570f, + 0.958703475f, -0.284407537f, + 0.958266071f, -0.285877835f, + 0.957826413f, -0.287347460f, + 0.957384501f, -0.288816408f, + 0.956940336f, -0.290284677f, + 0.956493919f, -0.291752263f, + 0.956045251f, -0.293219163f, + 0.955594334f, -0.294685372f, + 0.955141168f, -0.296150888f, + 0.954685755f, -0.297615707f, + 0.954228095f, -0.299079826f, + 0.953768190f, -0.300543241f, + 0.953306040f, -0.302005949f, + 0.952841648f, -0.303467947f, + 0.952375013f, -0.304929230f, + 0.951906137f, -0.306389795f, + 0.951435021f, -0.307849640f, + 0.950961666f, -0.309308760f, + 0.950486074f, -0.310767153f, + 0.950008245f, -0.312224814f, + 0.949528181f, -0.313681740f, + 0.949045882f, -0.315137929f, + 0.948561350f, -0.316593376f, + 0.948074586f, -0.318048077f, + 0.947585591f, -0.319502031f, + 0.947094366f, -0.320955232f, + 0.946600913f, -0.322407679f, + 0.946105232f, -0.323859367f, + 0.945607325f, -0.325310292f, + 0.945107193f, -0.326760452f, + 0.944604837f, -0.328209844f, + 0.944100258f, -0.329658463f, + 0.943593458f, -0.331106306f, + 0.943084437f, -0.332553370f, + 0.942573198f, -0.333999651f, + 0.942059740f, -0.335445147f, + 0.941544065f, -0.336889853f, + 0.941026175f, -0.338333767f, + 0.940506071f, -0.339776884f, + 0.939983753f, -0.341219202f, + 0.939459224f, -0.342660717f, + 0.938932484f, -0.344101426f, + 0.938403534f, -0.345541325f, + 0.937872376f, -0.346980411f, + 0.937339012f, -0.348418680f, + 0.936803442f, -0.349856130f, + 0.936265667f, -0.351292756f, + 0.935725689f, -0.352728556f, + 0.935183510f, -0.354163525f, + 0.934639130f, -0.355597662f, + 0.934092550f, -0.357030961f, + 0.933543773f, -0.358463421f, + 0.932992799f, -0.359895037f, + 0.932439629f, -0.361325806f, + 0.931884266f, -0.362755724f, + 0.931326709f, -0.364184790f, + 0.930766961f, -0.365612998f, + 0.930205023f, -0.367040346f, + 0.929640896f, -0.368466830f, + 0.929074581f, -0.369892447f, + 0.928506080f, -0.371317194f, + 0.927935395f, -0.372741067f, + 0.927362526f, -0.374164063f, + 0.926787474f, -0.375586178f, + 0.926210242f, -0.377007410f, + 0.925630831f, -0.378427755f, + 0.925049241f, -0.379847209f, + 0.924465474f, -0.381265769f, + 0.923879533f, -0.382683432f, + 0.923291417f, -0.384100195f, + 0.922701128f, -0.385516054f, + 0.922108669f, -0.386931006f, + 0.921514039f, -0.388345047f, + 0.920917242f, -0.389758174f, + 0.920318277f, -0.391170384f, + 0.919717146f, -0.392581674f, + 0.919113852f, -0.393992040f, + 0.918508394f, -0.395401479f, + 0.917900776f, -0.396809987f, + 0.917290997f, -0.398217562f, + 0.916679060f, -0.399624200f, + 0.916064966f, -0.401029897f, + 0.915448716f, -0.402434651f, + 0.914830312f, -0.403838458f, + 0.914209756f, -0.405241314f, + 0.913587048f, -0.406643217f, + 0.912962190f, -0.408044163f, + 0.912335185f, -0.409444149f, + 0.911706032f, -0.410843171f, + 0.911074734f, -0.412241227f, + 0.910441292f, -0.413638312f, + 0.909805708f, -0.415034424f, + 0.909167983f, -0.416429560f, + 0.908528119f, -0.417823716f, + 0.907886116f, -0.419216888f, + 0.907241978f, -0.420609074f, + 0.906595705f, -0.422000271f, + 0.905947298f, -0.423390474f, + 0.905296759f, -0.424779681f, + 0.904644091f, -0.426167889f, + 0.903989293f, -0.427555093f, + 0.903332368f, -0.428941292f, + 0.902673318f, -0.430326481f, + 0.902012144f, -0.431710658f, + 0.901348847f, -0.433093819f, + 0.900683429f, -0.434475961f, + 0.900015892f, -0.435857080f, + 0.899346237f, -0.437237174f, + 0.898674466f, -0.438616239f, + 0.898000580f, -0.439994271f, + 0.897324581f, -0.441371269f, + 0.896646470f, -0.442747228f, + 0.895966250f, -0.444122145f, + 0.895283921f, -0.445496017f, + 0.894599486f, -0.446868840f, + 0.893912945f, -0.448240612f, + 0.893224301f, -0.449611330f, + 0.892533555f, -0.450980989f, + 0.891840709f, -0.452349587f, + 0.891145765f, -0.453717121f, + 0.890448723f, -0.455083587f, + 0.889749586f, -0.456448982f, + 0.889048356f, -0.457813304f, + 0.888345033f, -0.459176548f, + 0.887639620f, -0.460538711f, + 0.886932119f, -0.461899791f, + 0.886222530f, -0.463259784f, + 0.885510856f, -0.464618686f, + 0.884797098f, -0.465976496f, + 0.884081259f, -0.467333209f, + 0.883363339f, -0.468688822f, + 0.882643340f, -0.470043332f, + 0.881921264f, -0.471396737f, + 0.881197113f, -0.472749032f, + 0.880470889f, -0.474100215f, + 0.879742593f, -0.475450282f, + 0.879012226f, -0.476799230f, + 0.878279792f, -0.478147056f, + 0.877545290f, -0.479493758f, + 0.876808724f, -0.480839331f, + 0.876070094f, -0.482183772f, + 0.875329403f, -0.483527079f, + 0.874586652f, -0.484869248f, + 0.873841843f, -0.486210276f, + 0.873094978f, -0.487550160f, + 0.872346059f, -0.488888897f, + 0.871595087f, -0.490226483f, + 0.870842063f, -0.491562916f, + 0.870086991f, -0.492898192f, + 0.869329871f, -0.494232309f, + 0.868570706f, -0.495565262f, + 0.867809497f, -0.496897049f, + 0.867046246f, -0.498227667f, + 0.866280954f, -0.499557113f, + 0.865513624f, -0.500885383f, + 0.864744258f, -0.502212474f, + 0.863972856f, -0.503538384f, + 0.863199422f, -0.504863109f, + 0.862423956f, -0.506186645f, + 0.861646461f, -0.507508991f, + 0.860866939f, -0.508830143f, + 0.860085390f, -0.510150097f, + 0.859301818f, -0.511468850f, + 0.858516224f, -0.512786401f, + 0.857728610f, -0.514102744f, + 0.856938977f, -0.515417878f, + 0.856147328f, -0.516731799f, + 0.855353665f, -0.518044504f, + 0.854557988f, -0.519355990f, + 0.853760301f, -0.520666254f, + 0.852960605f, -0.521975293f, + 0.852158902f, -0.523283103f, + 0.851355193f, -0.524589683f, + 0.850549481f, -0.525895027f, + 0.849741768f, -0.527199135f, + 0.848932055f, -0.528502002f, + 0.848120345f, -0.529803625f, + 0.847306639f, -0.531104001f, + 0.846490939f, -0.532403128f, + 0.845673247f, -0.533701002f, + 0.844853565f, -0.534997620f, + 0.844031895f, -0.536292979f, + 0.843208240f, -0.537587076f, + 0.842382600f, -0.538879909f, + 0.841554977f, -0.540171473f, + 0.840725375f, -0.541461766f, + 0.839893794f, -0.542750785f, + 0.839060237f, -0.544038527f, + 0.838224706f, -0.545324988f, + 0.837387202f, -0.546610167f, + 0.836547727f, -0.547894059f, + 0.835706284f, -0.549176662f, + 0.834862875f, -0.550457973f, + 0.834017501f, -0.551737988f, + 0.833170165f, -0.553016706f, + 0.832320868f, -0.554294121f, + 0.831469612f, -0.555570233f, + 0.830616400f, -0.556845037f, + 0.829761234f, -0.558118531f, + 0.828904115f, -0.559390712f, + 0.828045045f, -0.560661576f, + 0.827184027f, -0.561931121f, + 0.826321063f, -0.563199344f, + 0.825456154f, -0.564466242f, + 0.824589303f, -0.565731811f, + 0.823720511f, -0.566996049f, + 0.822849781f, -0.568258953f, + 0.821977115f, -0.569520519f, + 0.821102515f, -0.570780746f, + 0.820225983f, -0.572039629f, + 0.819347520f, -0.573297167f, + 0.818467130f, -0.574553355f, + 0.817584813f, -0.575808191f, + 0.816700573f, -0.577061673f, + 0.815814411f, -0.578313796f, + 0.814926329f, -0.579564559f, + 0.814036330f, -0.580813958f, + 0.813144415f, -0.582061990f, + 0.812250587f, -0.583308653f, + 0.811354847f, -0.584553943f, + 0.810457198f, -0.585797857f, + 0.809557642f, -0.587040394f, + 0.808656182f, -0.588281548f, + 0.807752818f, -0.589521319f, + 0.806847554f, -0.590759702f, + 0.805940391f, -0.591996695f, + 0.805031331f, -0.593232295f, + 0.804120377f, -0.594466499f, + 0.803207531f, -0.595699304f, + 0.802292796f, -0.596930708f, + 0.801376172f, -0.598160707f, + 0.800457662f, -0.599389298f, + 0.799537269f, -0.600616479f, + 0.798614995f, -0.601842247f, + 0.797690841f, -0.603066599f, + 0.796764810f, -0.604289531f, + 0.795836905f, -0.605511041f, + 0.794907126f, -0.606731127f, + 0.793975478f, -0.607949785f, + 0.793041960f, -0.609167012f, + 0.792106577f, -0.610382806f, + 0.791169330f, -0.611597164f, + 0.790230221f, -0.612810082f, + 0.789289253f, -0.614021559f, + 0.788346428f, -0.615231591f, + 0.787401747f, -0.616440175f, + 0.786455214f, -0.617647308f, + 0.785506830f, -0.618852988f, + 0.784556597f, -0.620057212f, + 0.783604519f, -0.621259977f, + 0.782650596f, -0.622461279f, + 0.781694832f, -0.623661118f, + 0.780737229f, -0.624859488f, + 0.779777788f, -0.626056388f, + 0.778816512f, -0.627251815f, + 0.777853404f, -0.628445767f, + 0.776888466f, -0.629638239f, + 0.775921699f, -0.630829230f, + 0.774953107f, -0.632018736f, + 0.773982691f, -0.633206755f, + 0.773010453f, -0.634393284f, + 0.772036397f, -0.635578320f, + 0.771060524f, -0.636761861f, + 0.770082837f, -0.637943904f, + 0.769103338f, -0.639124445f, + 0.768122029f, -0.640303482f, + 0.767138912f, -0.641481013f, + 0.766153990f, -0.642657034f, + 0.765167266f, -0.643831543f, + 0.764178741f, -0.645004537f, + 0.763188417f, -0.646176013f, + 0.762196298f, -0.647345969f, + 0.761202385f, -0.648514401f, + 0.760206682f, -0.649681307f, + 0.759209189f, -0.650846685f, + 0.758209910f, -0.652010531f, + 0.757208847f, -0.653172843f, + 0.756206001f, -0.654333618f, + 0.755201377f, -0.655492853f, + 0.754194975f, -0.656650546f, + 0.753186799f, -0.657806693f, + 0.752176850f, -0.658961293f, + 0.751165132f, -0.660114342f, + 0.750151646f, -0.661265838f, + 0.749136395f, -0.662415778f, + 0.748119380f, -0.663564159f, + 0.747100606f, -0.664710978f, + 0.746080074f, -0.665856234f, + 0.745057785f, -0.666999922f, + 0.744033744f, -0.668142041f, + 0.743007952f, -0.669282588f, + 0.741980412f, -0.670421560f, + 0.740951125f, -0.671558955f, + 0.739920095f, -0.672694769f, + 0.738887324f, -0.673829000f, + 0.737852815f, -0.674961646f, + 0.736816569f, -0.676092704f, + 0.735778589f, -0.677222170f, + 0.734738878f, -0.678350043f, + 0.733697438f, -0.679476320f, + 0.732654272f, -0.680600998f, + 0.731609381f, -0.681724074f, + 0.730562769f, -0.682845546f, + 0.729514438f, -0.683965412f, + 0.728464390f, -0.685083668f, + 0.727412629f, -0.686200312f, + 0.726359155f, -0.687315341f, + 0.725303972f, -0.688428753f, + 0.724247083f, -0.689540545f, + 0.723188489f, -0.690650714f, + 0.722128194f, -0.691759258f, + 0.721066199f, -0.692866175f, + 0.720002508f, -0.693971461f, + 0.718937122f, -0.695075114f, + 0.717870045f, -0.696177131f, + 0.716801279f, -0.697277511f, + 0.715730825f, -0.698376249f, + 0.714658688f, -0.699473345f, + 0.713584869f, -0.700568794f, + 0.712509371f, -0.701662595f, + 0.711432196f, -0.702754744f, + 0.710353347f, -0.703845241f, + 0.709272826f, -0.704934080f, + 0.708190637f, -0.706021261f, + 0.707106781f, -0.707106781f, + 0.706021261f, -0.708190637f, + 0.704934080f, -0.709272826f, + 0.703845241f, -0.710353347f, + 0.702754744f, -0.711432196f, + 0.701662595f, -0.712509371f, + 0.700568794f, -0.713584869f, + 0.699473345f, -0.714658688f, + 0.698376249f, -0.715730825f, + 0.697277511f, -0.716801279f, + 0.696177131f, -0.717870045f, + 0.695075114f, -0.718937122f, + 0.693971461f, -0.720002508f, + 0.692866175f, -0.721066199f, + 0.691759258f, -0.722128194f, + 0.690650714f, -0.723188489f, + 0.689540545f, -0.724247083f, + 0.688428753f, -0.725303972f, + 0.687315341f, -0.726359155f, + 0.686200312f, -0.727412629f, + 0.685083668f, -0.728464390f, + 0.683965412f, -0.729514438f, + 0.682845546f, -0.730562769f, + 0.681724074f, -0.731609381f, + 0.680600998f, -0.732654272f, + 0.679476320f, -0.733697438f, + 0.678350043f, -0.734738878f, + 0.677222170f, -0.735778589f, + 0.676092704f, -0.736816569f, + 0.674961646f, -0.737852815f, + 0.673829000f, -0.738887324f, + 0.672694769f, -0.739920095f, + 0.671558955f, -0.740951125f, + 0.670421560f, -0.741980412f, + 0.669282588f, -0.743007952f, + 0.668142041f, -0.744033744f, + 0.666999922f, -0.745057785f, + 0.665856234f, -0.746080074f, + 0.664710978f, -0.747100606f, + 0.663564159f, -0.748119380f, + 0.662415778f, -0.749136395f, + 0.661265838f, -0.750151646f, + 0.660114342f, -0.751165132f, + 0.658961293f, -0.752176850f, + 0.657806693f, -0.753186799f, + 0.656650546f, -0.754194975f, + 0.655492853f, -0.755201377f, + 0.654333618f, -0.756206001f, + 0.653172843f, -0.757208847f, + 0.652010531f, -0.758209910f, + 0.650846685f, -0.759209189f, + 0.649681307f, -0.760206682f, + 0.648514401f, -0.761202385f, + 0.647345969f, -0.762196298f, + 0.646176013f, -0.763188417f, + 0.645004537f, -0.764178741f, + 0.643831543f, -0.765167266f, + 0.642657034f, -0.766153990f, + 0.641481013f, -0.767138912f, + 0.640303482f, -0.768122029f, + 0.639124445f, -0.769103338f, + 0.637943904f, -0.770082837f, + 0.636761861f, -0.771060524f, + 0.635578320f, -0.772036397f, + 0.634393284f, -0.773010453f, + 0.633206755f, -0.773982691f, + 0.632018736f, -0.774953107f, + 0.630829230f, -0.775921699f, + 0.629638239f, -0.776888466f, + 0.628445767f, -0.777853404f, + 0.627251815f, -0.778816512f, + 0.626056388f, -0.779777788f, + 0.624859488f, -0.780737229f, + 0.623661118f, -0.781694832f, + 0.622461279f, -0.782650596f, + 0.621259977f, -0.783604519f, + 0.620057212f, -0.784556597f, + 0.618852988f, -0.785506830f, + 0.617647308f, -0.786455214f, + 0.616440175f, -0.787401747f, + 0.615231591f, -0.788346428f, + 0.614021559f, -0.789289253f, + 0.612810082f, -0.790230221f, + 0.611597164f, -0.791169330f, + 0.610382806f, -0.792106577f, + 0.609167012f, -0.793041960f, + 0.607949785f, -0.793975478f, + 0.606731127f, -0.794907126f, + 0.605511041f, -0.795836905f, + 0.604289531f, -0.796764810f, + 0.603066599f, -0.797690841f, + 0.601842247f, -0.798614995f, + 0.600616479f, -0.799537269f, + 0.599389298f, -0.800457662f, + 0.598160707f, -0.801376172f, + 0.596930708f, -0.802292796f, + 0.595699304f, -0.803207531f, + 0.594466499f, -0.804120377f, + 0.593232295f, -0.805031331f, + 0.591996695f, -0.805940391f, + 0.590759702f, -0.806847554f, + 0.589521319f, -0.807752818f, + 0.588281548f, -0.808656182f, + 0.587040394f, -0.809557642f, + 0.585797857f, -0.810457198f, + 0.584553943f, -0.811354847f, + 0.583308653f, -0.812250587f, + 0.582061990f, -0.813144415f, + 0.580813958f, -0.814036330f, + 0.579564559f, -0.814926329f, + 0.578313796f, -0.815814411f, + 0.577061673f, -0.816700573f, + 0.575808191f, -0.817584813f, + 0.574553355f, -0.818467130f, + 0.573297167f, -0.819347520f, + 0.572039629f, -0.820225983f, + 0.570780746f, -0.821102515f, + 0.569520519f, -0.821977115f, + 0.568258953f, -0.822849781f, + 0.566996049f, -0.823720511f, + 0.565731811f, -0.824589303f, + 0.564466242f, -0.825456154f, + 0.563199344f, -0.826321063f, + 0.561931121f, -0.827184027f, + 0.560661576f, -0.828045045f, + 0.559390712f, -0.828904115f, + 0.558118531f, -0.829761234f, + 0.556845037f, -0.830616400f, + 0.555570233f, -0.831469612f, + 0.554294121f, -0.832320868f, + 0.553016706f, -0.833170165f, + 0.551737988f, -0.834017501f, + 0.550457973f, -0.834862875f, + 0.549176662f, -0.835706284f, + 0.547894059f, -0.836547727f, + 0.546610167f, -0.837387202f, + 0.545324988f, -0.838224706f, + 0.544038527f, -0.839060237f, + 0.542750785f, -0.839893794f, + 0.541461766f, -0.840725375f, + 0.540171473f, -0.841554977f, + 0.538879909f, -0.842382600f, + 0.537587076f, -0.843208240f, + 0.536292979f, -0.844031895f, + 0.534997620f, -0.844853565f, + 0.533701002f, -0.845673247f, + 0.532403128f, -0.846490939f, + 0.531104001f, -0.847306639f, + 0.529803625f, -0.848120345f, + 0.528502002f, -0.848932055f, + 0.527199135f, -0.849741768f, + 0.525895027f, -0.850549481f, + 0.524589683f, -0.851355193f, + 0.523283103f, -0.852158902f, + 0.521975293f, -0.852960605f, + 0.520666254f, -0.853760301f, + 0.519355990f, -0.854557988f, + 0.518044504f, -0.855353665f, + 0.516731799f, -0.856147328f, + 0.515417878f, -0.856938977f, + 0.514102744f, -0.857728610f, + 0.512786401f, -0.858516224f, + 0.511468850f, -0.859301818f, + 0.510150097f, -0.860085390f, + 0.508830143f, -0.860866939f, + 0.507508991f, -0.861646461f, + 0.506186645f, -0.862423956f, + 0.504863109f, -0.863199422f, + 0.503538384f, -0.863972856f, + 0.502212474f, -0.864744258f, + 0.500885383f, -0.865513624f, + 0.499557113f, -0.866280954f, + 0.498227667f, -0.867046246f, + 0.496897049f, -0.867809497f, + 0.495565262f, -0.868570706f, + 0.494232309f, -0.869329871f, + 0.492898192f, -0.870086991f, + 0.491562916f, -0.870842063f, + 0.490226483f, -0.871595087f, + 0.488888897f, -0.872346059f, + 0.487550160f, -0.873094978f, + 0.486210276f, -0.873841843f, + 0.484869248f, -0.874586652f, + 0.483527079f, -0.875329403f, + 0.482183772f, -0.876070094f, + 0.480839331f, -0.876808724f, + 0.479493758f, -0.877545290f, + 0.478147056f, -0.878279792f, + 0.476799230f, -0.879012226f, + 0.475450282f, -0.879742593f, + 0.474100215f, -0.880470889f, + 0.472749032f, -0.881197113f, + 0.471396737f, -0.881921264f, + 0.470043332f, -0.882643340f, + 0.468688822f, -0.883363339f, + 0.467333209f, -0.884081259f, + 0.465976496f, -0.884797098f, + 0.464618686f, -0.885510856f, + 0.463259784f, -0.886222530f, + 0.461899791f, -0.886932119f, + 0.460538711f, -0.887639620f, + 0.459176548f, -0.888345033f, + 0.457813304f, -0.889048356f, + 0.456448982f, -0.889749586f, + 0.455083587f, -0.890448723f, + 0.453717121f, -0.891145765f, + 0.452349587f, -0.891840709f, + 0.450980989f, -0.892533555f, + 0.449611330f, -0.893224301f, + 0.448240612f, -0.893912945f, + 0.446868840f, -0.894599486f, + 0.445496017f, -0.895283921f, + 0.444122145f, -0.895966250f, + 0.442747228f, -0.896646470f, + 0.441371269f, -0.897324581f, + 0.439994271f, -0.898000580f, + 0.438616239f, -0.898674466f, + 0.437237174f, -0.899346237f, + 0.435857080f, -0.900015892f, + 0.434475961f, -0.900683429f, + 0.433093819f, -0.901348847f, + 0.431710658f, -0.902012144f, + 0.430326481f, -0.902673318f, + 0.428941292f, -0.903332368f, + 0.427555093f, -0.903989293f, + 0.426167889f, -0.904644091f, + 0.424779681f, -0.905296759f, + 0.423390474f, -0.905947298f, + 0.422000271f, -0.906595705f, + 0.420609074f, -0.907241978f, + 0.419216888f, -0.907886116f, + 0.417823716f, -0.908528119f, + 0.416429560f, -0.909167983f, + 0.415034424f, -0.909805708f, + 0.413638312f, -0.910441292f, + 0.412241227f, -0.911074734f, + 0.410843171f, -0.911706032f, + 0.409444149f, -0.912335185f, + 0.408044163f, -0.912962190f, + 0.406643217f, -0.913587048f, + 0.405241314f, -0.914209756f, + 0.403838458f, -0.914830312f, + 0.402434651f, -0.915448716f, + 0.401029897f, -0.916064966f, + 0.399624200f, -0.916679060f, + 0.398217562f, -0.917290997f, + 0.396809987f, -0.917900776f, + 0.395401479f, -0.918508394f, + 0.393992040f, -0.919113852f, + 0.392581674f, -0.919717146f, + 0.391170384f, -0.920318277f, + 0.389758174f, -0.920917242f, + 0.388345047f, -0.921514039f, + 0.386931006f, -0.922108669f, + 0.385516054f, -0.922701128f, + 0.384100195f, -0.923291417f, + 0.382683432f, -0.923879533f, + 0.381265769f, -0.924465474f, + 0.379847209f, -0.925049241f, + 0.378427755f, -0.925630831f, + 0.377007410f, -0.926210242f, + 0.375586178f, -0.926787474f, + 0.374164063f, -0.927362526f, + 0.372741067f, -0.927935395f, + 0.371317194f, -0.928506080f, + 0.369892447f, -0.929074581f, + 0.368466830f, -0.929640896f, + 0.367040346f, -0.930205023f, + 0.365612998f, -0.930766961f, + 0.364184790f, -0.931326709f, + 0.362755724f, -0.931884266f, + 0.361325806f, -0.932439629f, + 0.359895037f, -0.932992799f, + 0.358463421f, -0.933543773f, + 0.357030961f, -0.934092550f, + 0.355597662f, -0.934639130f, + 0.354163525f, -0.935183510f, + 0.352728556f, -0.935725689f, + 0.351292756f, -0.936265667f, + 0.349856130f, -0.936803442f, + 0.348418680f, -0.937339012f, + 0.346980411f, -0.937872376f, + 0.345541325f, -0.938403534f, + 0.344101426f, -0.938932484f, + 0.342660717f, -0.939459224f, + 0.341219202f, -0.939983753f, + 0.339776884f, -0.940506071f, + 0.338333767f, -0.941026175f, + 0.336889853f, -0.941544065f, + 0.335445147f, -0.942059740f, + 0.333999651f, -0.942573198f, + 0.332553370f, -0.943084437f, + 0.331106306f, -0.943593458f, + 0.329658463f, -0.944100258f, + 0.328209844f, -0.944604837f, + 0.326760452f, -0.945107193f, + 0.325310292f, -0.945607325f, + 0.323859367f, -0.946105232f, + 0.322407679f, -0.946600913f, + 0.320955232f, -0.947094366f, + 0.319502031f, -0.947585591f, + 0.318048077f, -0.948074586f, + 0.316593376f, -0.948561350f, + 0.315137929f, -0.949045882f, + 0.313681740f, -0.949528181f, + 0.312224814f, -0.950008245f, + 0.310767153f, -0.950486074f, + 0.309308760f, -0.950961666f, + 0.307849640f, -0.951435021f, + 0.306389795f, -0.951906137f, + 0.304929230f, -0.952375013f, + 0.303467947f, -0.952841648f, + 0.302005949f, -0.953306040f, + 0.300543241f, -0.953768190f, + 0.299079826f, -0.954228095f, + 0.297615707f, -0.954685755f, + 0.296150888f, -0.955141168f, + 0.294685372f, -0.955594334f, + 0.293219163f, -0.956045251f, + 0.291752263f, -0.956493919f, + 0.290284677f, -0.956940336f, + 0.288816408f, -0.957384501f, + 0.287347460f, -0.957826413f, + 0.285877835f, -0.958266071f, + 0.284407537f, -0.958703475f, + 0.282936570f, -0.959138622f, + 0.281464938f, -0.959571513f, + 0.279992643f, -0.960002146f, + 0.278519689f, -0.960430519f, + 0.277046080f, -0.960856633f, + 0.275571819f, -0.961280486f, + 0.274096910f, -0.961702077f, + 0.272621355f, -0.962121404f, + 0.271145160f, -0.962538468f, + 0.269668326f, -0.962953267f, + 0.268190857f, -0.963365800f, + 0.266712757f, -0.963776066f, + 0.265234030f, -0.964184064f, + 0.263754679f, -0.964589793f, + 0.262274707f, -0.964993253f, + 0.260794118f, -0.965394442f, + 0.259312915f, -0.965793359f, + 0.257831102f, -0.966190003f, + 0.256348682f, -0.966584374f, + 0.254865660f, -0.966976471f, + 0.253382037f, -0.967366292f, + 0.251897818f, -0.967753837f, + 0.250413007f, -0.968139105f, + 0.248927606f, -0.968522094f, + 0.247441619f, -0.968902805f, + 0.245955050f, -0.969281235f, + 0.244467903f, -0.969657385f, + 0.242980180f, -0.970031253f, + 0.241491885f, -0.970402839f, + 0.240003022f, -0.970772141f, + 0.238513595f, -0.971139158f, + 0.237023606f, -0.971503891f, + 0.235533059f, -0.971866337f, + 0.234041959f, -0.972226497f, + 0.232550307f, -0.972584369f, + 0.231058108f, -0.972939952f, + 0.229565366f, -0.973293246f, + 0.228072083f, -0.973644250f, + 0.226578264f, -0.973992962f, + 0.225083911f, -0.974339383f, + 0.223589029f, -0.974683511f, + 0.222093621f, -0.975025345f, + 0.220597690f, -0.975364885f, + 0.219101240f, -0.975702130f, + 0.217604275f, -0.976037079f, + 0.216106797f, -0.976369731f, + 0.214608811f, -0.976700086f, + 0.213110320f, -0.977028143f, + 0.211611327f, -0.977353900f, + 0.210111837f, -0.977677358f, + 0.208611852f, -0.977998515f, + 0.207111376f, -0.978317371f, + 0.205610413f, -0.978633924f, + 0.204108966f, -0.978948175f, + 0.202607039f, -0.979260123f, + 0.201104635f, -0.979569766f, + 0.199601758f, -0.979877104f, + 0.198098411f, -0.980182136f, + 0.196594598f, -0.980484862f, + 0.195090322f, -0.980785280f, + 0.193585587f, -0.981083391f, + 0.192080397f, -0.981379193f, + 0.190574755f, -0.981672686f, + 0.189068664f, -0.981963869f, + 0.187562129f, -0.982252741f, + 0.186055152f, -0.982539302f, + 0.184547737f, -0.982823551f, + 0.183039888f, -0.983105487f, + 0.181531608f, -0.983385110f, + 0.180022901f, -0.983662419f, + 0.178513771f, -0.983937413f, + 0.177004220f, -0.984210092f, + 0.175494253f, -0.984480455f, + 0.173983873f, -0.984748502f, + 0.172473084f, -0.985014231f, + 0.170961889f, -0.985277642f, + 0.169450291f, -0.985538735f, + 0.167938295f, -0.985797509f, + 0.166425904f, -0.986053963f, + 0.164913120f, -0.986308097f, + 0.163399949f, -0.986559910f, + 0.161886394f, -0.986809402f, + 0.160372457f, -0.987056571f, + 0.158858143f, -0.987301418f, + 0.157343456f, -0.987543942f, + 0.155828398f, -0.987784142f, + 0.154312973f, -0.988022017f, + 0.152797185f, -0.988257568f, + 0.151281038f, -0.988490793f, + 0.149764535f, -0.988721692f, + 0.148247679f, -0.988950265f, + 0.146730474f, -0.989176510f, + 0.145212925f, -0.989400428f, + 0.143695033f, -0.989622017f, + 0.142176804f, -0.989841278f, + 0.140658239f, -0.990058210f, + 0.139139344f, -0.990272812f, + 0.137620122f, -0.990485084f, + 0.136100575f, -0.990695025f, + 0.134580709f, -0.990902635f, + 0.133060525f, -0.991107914f, + 0.131540029f, -0.991310860f, + 0.130019223f, -0.991511473f, + 0.128498111f, -0.991709754f, + 0.126976696f, -0.991905700f, + 0.125454983f, -0.992099313f, + 0.123932975f, -0.992290591f, + 0.122410675f, -0.992479535f, + 0.120888087f, -0.992666142f, + 0.119365215f, -0.992850414f, + 0.117842062f, -0.993032350f, + 0.116318631f, -0.993211949f, + 0.114794927f, -0.993389211f, + 0.113270952f, -0.993564136f, + 0.111746711f, -0.993736722f, + 0.110222207f, -0.993906970f, + 0.108697444f, -0.994074879f, + 0.107172425f, -0.994240449f, + 0.105647154f, -0.994403680f, + 0.104121634f, -0.994564571f, + 0.102595869f, -0.994723121f, + 0.101069863f, -0.994879331f, + 0.099543619f, -0.995033199f, + 0.098017140f, -0.995184727f, + 0.096490431f, -0.995333912f, + 0.094963495f, -0.995480755f, + 0.093436336f, -0.995625256f, + 0.091908956f, -0.995767414f, + 0.090381361f, -0.995907229f, + 0.088853553f, -0.996044701f, + 0.087325535f, -0.996179829f, + 0.085797312f, -0.996312612f, + 0.084268888f, -0.996443051f, + 0.082740265f, -0.996571146f, + 0.081211447f, -0.996696895f, + 0.079682438f, -0.996820299f, + 0.078153242f, -0.996941358f, + 0.076623861f, -0.997060070f, + 0.075094301f, -0.997176437f, + 0.073564564f, -0.997290457f, + 0.072034653f, -0.997402130f, + 0.070504573f, -0.997511456f, + 0.068974328f, -0.997618435f, + 0.067443920f, -0.997723067f, + 0.065913353f, -0.997825350f, + 0.064382631f, -0.997925286f, + 0.062851758f, -0.998022874f, + 0.061320736f, -0.998118113f, + 0.059789571f, -0.998211003f, + 0.058258265f, -0.998301545f, + 0.056726821f, -0.998389737f, + 0.055195244f, -0.998475581f, + 0.053663538f, -0.998559074f, + 0.052131705f, -0.998640218f, + 0.050599749f, -0.998719012f, + 0.049067674f, -0.998795456f, + 0.047535484f, -0.998869550f, + 0.046003182f, -0.998941293f, + 0.044470772f, -0.999010686f, + 0.042938257f, -0.999077728f, + 0.041405641f, -0.999142419f, + 0.039872928f, -0.999204759f, + 0.038340120f, -0.999264747f, + 0.036807223f, -0.999322385f, + 0.035274239f, -0.999377670f, + 0.033741172f, -0.999430605f, + 0.032208025f, -0.999481187f, + 0.030674803f, -0.999529418f, + 0.029141509f, -0.999575296f, + 0.027608146f, -0.999618822f, + 0.026074718f, -0.999659997f, + 0.024541229f, -0.999698819f, + 0.023007681f, -0.999735288f, + 0.021474080f, -0.999769405f, + 0.019940429f, -0.999801170f, + 0.018406730f, -0.999830582f, + 0.016872988f, -0.999857641f, + 0.015339206f, -0.999882347f, + 0.013805389f, -0.999904701f, + 0.012271538f, -0.999924702f, + 0.010737659f, -0.999942350f, + 0.009203755f, -0.999957645f, + 0.007669829f, -0.999970586f, + 0.006135885f, -0.999981175f, + 0.004601926f, -0.999989411f, + 0.003067957f, -0.999995294f, + 0.001533980f, -0.999998823f +}; + + +/** + * \par + * Example code for the generation of the floating-point sine table: + *
+ * tableSize = 512;
+ * for(n = 0; n < (tableSize + 1); n++)
+ * {
+ *	sinTable[n]=sin(2*pi*n/tableSize);
+ * }
+ * \par + * where pi value is 3.14159265358979 + */ + +const float32_t sinTable_f32[FAST_MATH_TABLE_SIZE + 1] = { + 0.00000000f, 0.01227154f, 0.02454123f, 0.03680722f, 0.04906767f, 0.06132074f, + 0.07356456f, 0.08579731f, 0.09801714f, 0.11022221f, 0.12241068f, 0.13458071f, + 0.14673047f, 0.15885814f, 0.17096189f, 0.18303989f, 0.19509032f, 0.20711138f, + 0.21910124f, 0.23105811f, 0.24298018f, 0.25486566f, 0.26671276f, 0.27851969f, + 0.29028468f, 0.30200595f, 0.31368174f, 0.32531029f, 0.33688985f, 0.34841868f, + 0.35989504f, 0.37131719f, 0.38268343f, 0.39399204f, 0.40524131f, 0.41642956f, + 0.42755509f, 0.43861624f, 0.44961133f, 0.46053871f, 0.47139674f, 0.48218377f, + 0.49289819f, 0.50353838f, 0.51410274f, 0.52458968f, 0.53499762f, 0.54532499f, + 0.55557023f, 0.56573181f, 0.57580819f, 0.58579786f, 0.59569930f, 0.60551104f, + 0.61523159f, 0.62485949f, 0.63439328f, 0.64383154f, 0.65317284f, 0.66241578f, + 0.67155895f, 0.68060100f, 0.68954054f, 0.69837625f, 0.70710678f, 0.71573083f, + 0.72424708f, 0.73265427f, 0.74095113f, 0.74913639f, 0.75720885f, 0.76516727f, + 0.77301045f, 0.78073723f, 0.78834643f, 0.79583690f, 0.80320753f, 0.81045720f, + 0.81758481f, 0.82458930f, 0.83146961f, 0.83822471f, 0.84485357f, 0.85135519f, + 0.85772861f, 0.86397286f, 0.87008699f, 0.87607009f, 0.88192126f, 0.88763962f, + 0.89322430f, 0.89867447f, 0.90398929f, 0.90916798f, 0.91420976f, 0.91911385f, + 0.92387953f, 0.92850608f, 0.93299280f, 0.93733901f, 0.94154407f, 0.94560733f, + 0.94952818f, 0.95330604f, 0.95694034f, 0.96043052f, 0.96377607f, 0.96697647f, + 0.97003125f, 0.97293995f, 0.97570213f, 0.97831737f, 0.98078528f, 0.98310549f, + 0.98527764f, 0.98730142f, 0.98917651f, 0.99090264f, 0.99247953f, 0.99390697f, + 0.99518473f, 0.99631261f, 0.99729046f, 0.99811811f, 0.99879546f, 0.99932238f, + 0.99969882f, 0.99992470f, 1.00000000f, 0.99992470f, 0.99969882f, 0.99932238f, + 0.99879546f, 0.99811811f, 0.99729046f, 0.99631261f, 0.99518473f, 0.99390697f, + 0.99247953f, 0.99090264f, 0.98917651f, 0.98730142f, 0.98527764f, 0.98310549f, + 0.98078528f, 0.97831737f, 0.97570213f, 0.97293995f, 0.97003125f, 0.96697647f, + 0.96377607f, 0.96043052f, 0.95694034f, 0.95330604f, 0.94952818f, 0.94560733f, + 0.94154407f, 0.93733901f, 0.93299280f, 0.92850608f, 0.92387953f, 0.91911385f, + 0.91420976f, 0.90916798f, 0.90398929f, 0.89867447f, 0.89322430f, 0.88763962f, + 0.88192126f, 0.87607009f, 0.87008699f, 0.86397286f, 0.85772861f, 0.85135519f, + 0.84485357f, 0.83822471f, 0.83146961f, 0.82458930f, 0.81758481f, 0.81045720f, + 0.80320753f, 0.79583690f, 0.78834643f, 0.78073723f, 0.77301045f, 0.76516727f, + 0.75720885f, 0.74913639f, 0.74095113f, 0.73265427f, 0.72424708f, 0.71573083f, + 0.70710678f, 0.69837625f, 0.68954054f, 0.68060100f, 0.67155895f, 0.66241578f, + 0.65317284f, 0.64383154f, 0.63439328f, 0.62485949f, 0.61523159f, 0.60551104f, + 0.59569930f, 0.58579786f, 0.57580819f, 0.56573181f, 0.55557023f, 0.54532499f, + 0.53499762f, 0.52458968f, 0.51410274f, 0.50353838f, 0.49289819f, 0.48218377f, + 0.47139674f, 0.46053871f, 0.44961133f, 0.43861624f, 0.42755509f, 0.41642956f, + 0.40524131f, 0.39399204f, 0.38268343f, 0.37131719f, 0.35989504f, 0.34841868f, + 0.33688985f, 0.32531029f, 0.31368174f, 0.30200595f, 0.29028468f, 0.27851969f, + 0.26671276f, 0.25486566f, 0.24298018f, 0.23105811f, 0.21910124f, 0.20711138f, + 0.19509032f, 0.18303989f, 0.17096189f, 0.15885814f, 0.14673047f, 0.13458071f, + 0.12241068f, 0.11022221f, 0.09801714f, 0.08579731f, 0.07356456f, 0.06132074f, + 0.04906767f, 0.03680722f, 0.02454123f, 0.01227154f, 0.00000000f, -0.01227154f, + -0.02454123f, -0.03680722f, -0.04906767f, -0.06132074f, -0.07356456f, + -0.08579731f, -0.09801714f, -0.11022221f, -0.12241068f, -0.13458071f, + -0.14673047f, -0.15885814f, -0.17096189f, -0.18303989f, -0.19509032f, + -0.20711138f, -0.21910124f, -0.23105811f, -0.24298018f, -0.25486566f, + -0.26671276f, -0.27851969f, -0.29028468f, -0.30200595f, -0.31368174f, + -0.32531029f, -0.33688985f, -0.34841868f, -0.35989504f, -0.37131719f, + -0.38268343f, -0.39399204f, -0.40524131f, -0.41642956f, -0.42755509f, + -0.43861624f, -0.44961133f, -0.46053871f, -0.47139674f, -0.48218377f, + -0.49289819f, -0.50353838f, -0.51410274f, -0.52458968f, -0.53499762f, + -0.54532499f, -0.55557023f, -0.56573181f, -0.57580819f, -0.58579786f, + -0.59569930f, -0.60551104f, -0.61523159f, -0.62485949f, -0.63439328f, + -0.64383154f, -0.65317284f, -0.66241578f, -0.67155895f, -0.68060100f, + -0.68954054f, -0.69837625f, -0.70710678f, -0.71573083f, -0.72424708f, + -0.73265427f, -0.74095113f, -0.74913639f, -0.75720885f, -0.76516727f, + -0.77301045f, -0.78073723f, -0.78834643f, -0.79583690f, -0.80320753f, + -0.81045720f, -0.81758481f, -0.82458930f, -0.83146961f, -0.83822471f, + -0.84485357f, -0.85135519f, -0.85772861f, -0.86397286f, -0.87008699f, + -0.87607009f, -0.88192126f, -0.88763962f, -0.89322430f, -0.89867447f, + -0.90398929f, -0.90916798f, -0.91420976f, -0.91911385f, -0.92387953f, + -0.92850608f, -0.93299280f, -0.93733901f, -0.94154407f, -0.94560733f, + -0.94952818f, -0.95330604f, -0.95694034f, -0.96043052f, -0.96377607f, + -0.96697647f, -0.97003125f, -0.97293995f, -0.97570213f, -0.97831737f, + -0.98078528f, -0.98310549f, -0.98527764f, -0.98730142f, -0.98917651f, + -0.99090264f, -0.99247953f, -0.99390697f, -0.99518473f, -0.99631261f, + -0.99729046f, -0.99811811f, -0.99879546f, -0.99932238f, -0.99969882f, + -0.99992470f, -1.00000000f, -0.99992470f, -0.99969882f, -0.99932238f, + -0.99879546f, -0.99811811f, -0.99729046f, -0.99631261f, -0.99518473f, + -0.99390697f, -0.99247953f, -0.99090264f, -0.98917651f, -0.98730142f, + -0.98527764f, -0.98310549f, -0.98078528f, -0.97831737f, -0.97570213f, + -0.97293995f, -0.97003125f, -0.96697647f, -0.96377607f, -0.96043052f, + -0.95694034f, -0.95330604f, -0.94952818f, -0.94560733f, -0.94154407f, + -0.93733901f, -0.93299280f, -0.92850608f, -0.92387953f, -0.91911385f, + -0.91420976f, -0.90916798f, -0.90398929f, -0.89867447f, -0.89322430f, + -0.88763962f, -0.88192126f, -0.87607009f, -0.87008699f, -0.86397286f, + -0.85772861f, -0.85135519f, -0.84485357f, -0.83822471f, -0.83146961f, + -0.82458930f, -0.81758481f, -0.81045720f, -0.80320753f, -0.79583690f, + -0.78834643f, -0.78073723f, -0.77301045f, -0.76516727f, -0.75720885f, + -0.74913639f, -0.74095113f, -0.73265427f, -0.72424708f, -0.71573083f, + -0.70710678f, -0.69837625f, -0.68954054f, -0.68060100f, -0.67155895f, + -0.66241578f, -0.65317284f, -0.64383154f, -0.63439328f, -0.62485949f, + -0.61523159f, -0.60551104f, -0.59569930f, -0.58579786f, -0.57580819f, + -0.56573181f, -0.55557023f, -0.54532499f, -0.53499762f, -0.52458968f, + -0.51410274f, -0.50353838f, -0.49289819f, -0.48218377f, -0.47139674f, + -0.46053871f, -0.44961133f, -0.43861624f, -0.42755509f, -0.41642956f, + -0.40524131f, -0.39399204f, -0.38268343f, -0.37131719f, -0.35989504f, + -0.34841868f, -0.33688985f, -0.32531029f, -0.31368174f, -0.30200595f, + -0.29028468f, -0.27851969f, -0.26671276f, -0.25486566f, -0.24298018f, + -0.23105811f, -0.21910124f, -0.20711138f, -0.19509032f, -0.18303989f, + -0.17096189f, -0.15885814f, -0.14673047f, -0.13458071f, -0.12241068f, + -0.11022221f, -0.09801714f, -0.08579731f, -0.07356456f, -0.06132074f, + -0.04906767f, -0.03680722f, -0.02454123f, -0.01227154f, -0.00000000f +}; + +/** + * \par + * Table values are in Q31 (1.31 fixed-point format) and generation is done in + * three steps. First, generate sin values in floating point: + *
+ * tableSize = 512;
+ * for(n = 0; n < (tableSize + 1); n++)
+ * {
+ *	sinTable[n]= sin(2*pi*n/tableSize);
+ * } 
+ * where pi value is 3.14159265358979 + * \par + * Second, convert floating-point to Q31 (Fixed point): + * (sinTable[i] * pow(2, 31)) + * \par + * Finally, round to the nearest integer value: + * sinTable[i] += (sinTable[i] > 0 ? 0.5 :-0.5); + */ +const q31_t sinTable_q31[FAST_MATH_TABLE_SIZE + 1] = { + 0L, 26352928L, 52701887L, 79042909L, 105372028L, 131685278L, 157978697L, + 184248325L, 210490206L, 236700388L, 262874923L, 289009871L, 315101295L, + 341145265L, 367137861L, 393075166L, 418953276L, 444768294L, 470516330L, + 496193509L, 521795963L, 547319836L, 572761285L, 598116479L, 623381598L, + 648552838L, 673626408L, 698598533L, 723465451L, 748223418L, 772868706L, + 797397602L, 821806413L, 846091463L, 870249095L, 894275671L, 918167572L, + 941921200L, 965532978L, 988999351L, 1012316784L, 1035481766L, 1058490808L, + 1081340445L, 1104027237L, 1126547765L, 1148898640L, 1171076495L, 1193077991L, + 1214899813L, 1236538675L, 1257991320L, 1279254516L, 1300325060L, 1321199781L, + 1341875533L, 1362349204L, 1382617710L, 1402678000L, 1422527051L, 1442161874L, + 1461579514L, 1480777044L, 1499751576L, 1518500250L, 1537020244L, 1555308768L, + 1573363068L, 1591180426L, 1608758157L, 1626093616L, 1643184191L, 1660027308L, + 1676620432L, 1692961062L, 1709046739L, 1724875040L, 1740443581L, 1755750017L, + 1770792044L, 1785567396L, 1800073849L, 1814309216L, 1828271356L, 1841958164L, + 1855367581L, 1868497586L, 1881346202L, 1893911494L, 1906191570L, 1918184581L, + 1929888720L, 1941302225L, 1952423377L, 1963250501L, 1973781967L, 1984016189L, + 1993951625L, 2003586779L, 2012920201L, 2021950484L, 2030676269L, 2039096241L, + 2047209133L, 2055013723L, 2062508835L, 2069693342L, 2076566160L, 2083126254L, + 2089372638L, 2095304370L, 2100920556L, 2106220352L, 2111202959L, 2115867626L, + 2120213651L, 2124240380L, 2127947206L, 2131333572L, 2134398966L, 2137142927L, + 2139565043L, 2141664948L, 2143442326L, 2144896910L, 2146028480L, 2146836866L, + 2147321946L, 2147483647L, 2147321946L, 2146836866L, 2146028480L, 2144896910L, + 2143442326L, 2141664948L, 2139565043L, 2137142927L, 2134398966L, 2131333572L, + 2127947206L, 2124240380L, 2120213651L, 2115867626L, 2111202959L, 2106220352L, + 2100920556L, 2095304370L, 2089372638L, 2083126254L, 2076566160L, 2069693342L, + 2062508835L, 2055013723L, 2047209133L, 2039096241L, 2030676269L, 2021950484L, + 2012920201L, 2003586779L, 1993951625L, 1984016189L, 1973781967L, 1963250501L, + 1952423377L, 1941302225L, 1929888720L, 1918184581L, 1906191570L, 1893911494L, + 1881346202L, 1868497586L, 1855367581L, 1841958164L, 1828271356L, 1814309216L, + 1800073849L, 1785567396L, 1770792044L, 1755750017L, 1740443581L, 1724875040L, + 1709046739L, 1692961062L, 1676620432L, 1660027308L, 1643184191L, 1626093616L, + 1608758157L, 1591180426L, 1573363068L, 1555308768L, 1537020244L, 1518500250L, + 1499751576L, 1480777044L, 1461579514L, 1442161874L, 1422527051L, 1402678000L, + 1382617710L, 1362349204L, 1341875533L, 1321199781L, 1300325060L, 1279254516L, + 1257991320L, 1236538675L, 1214899813L, 1193077991L, 1171076495L, 1148898640L, + 1126547765L, 1104027237L, 1081340445L, 1058490808L, 1035481766L, 1012316784L, + 988999351L, 965532978L, 941921200L, 918167572L, 894275671L, 870249095L, + 846091463L, 821806413L, 797397602L, 772868706L, 748223418L, 723465451L, + 698598533L, 673626408L, 648552838L, 623381598L, 598116479L, 572761285L, + 547319836L, 521795963L, 496193509L, 470516330L, 444768294L, 418953276L, + 393075166L, 367137861L, 341145265L, 315101295L, 289009871L, 262874923L, + 236700388L, 210490206L, 184248325L, 157978697L, 131685278L, 105372028L, + 79042909L, 52701887L, 26352928L, 0L, -26352928L, -52701887L, -79042909L, + -105372028L, -131685278L, -157978697L, -184248325L, -210490206L, -236700388L, + -262874923L, -289009871L, -315101295L, -341145265L, -367137861L, -393075166L, + -418953276L, -444768294L, -470516330L, -496193509L, -521795963L, -547319836L, + -572761285L, -598116479L, -623381598L, -648552838L, -673626408L, -698598533L, + -723465451L, -748223418L, -772868706L, -797397602L, -821806413L, -846091463L, + -870249095L, -894275671L, -918167572L, -941921200L, -965532978L, -988999351L, + -1012316784L, -1035481766L, -1058490808L, -1081340445L, -1104027237L, + -1126547765L, -1148898640L, -1171076495L, -1193077991L, -1214899813L, + -1236538675L, -1257991320L, -1279254516L, -1300325060L, -1321199781L, + -1341875533L, -1362349204L, -1382617710L, -1402678000L, -1422527051L, + -1442161874L, -1461579514L, -1480777044L, -1499751576L, -1518500250L, + -1537020244L, -1555308768L, -1573363068L, -1591180426L, -1608758157L, + -1626093616L, -1643184191L, -1660027308L, -1676620432L, -1692961062L, + -1709046739L, -1724875040L, -1740443581L, -1755750017L, -1770792044L, + -1785567396L, -1800073849L, -1814309216L, -1828271356L, -1841958164L, + -1855367581L, -1868497586L, -1881346202L, -1893911494L, -1906191570L, + -1918184581L, -1929888720L, -1941302225L, -1952423377L, -1963250501L, + -1973781967L, -1984016189L, -1993951625L, -2003586779L, -2012920201L, + -2021950484L, -2030676269L, -2039096241L, -2047209133L, -2055013723L, + -2062508835L, -2069693342L, -2076566160L, -2083126254L, -2089372638L, + -2095304370L, -2100920556L, -2106220352L, -2111202959L, -2115867626L, + -2120213651L, -2124240380L, -2127947206L, -2131333572L, -2134398966L, + -2137142927L, -2139565043L, -2141664948L, -2143442326L, -2144896910L, + -2146028480L, -2146836866L, -2147321946L, (q31_t)0x80000000, -2147321946L, + -2146836866L, -2146028480L, -2144896910L, -2143442326L, -2141664948L, + -2139565043L, -2137142927L, -2134398966L, -2131333572L, -2127947206L, + -2124240380L, -2120213651L, -2115867626L, -2111202959L, -2106220352L, + -2100920556L, -2095304370L, -2089372638L, -2083126254L, -2076566160L, + -2069693342L, -2062508835L, -2055013723L, -2047209133L, -2039096241L, + -2030676269L, -2021950484L, -2012920201L, -2003586779L, -1993951625L, + -1984016189L, -1973781967L, -1963250501L, -1952423377L, -1941302225L, + -1929888720L, -1918184581L, -1906191570L, -1893911494L, -1881346202L, + -1868497586L, -1855367581L, -1841958164L, -1828271356L, -1814309216L, + -1800073849L, -1785567396L, -1770792044L, -1755750017L, -1740443581L, + -1724875040L, -1709046739L, -1692961062L, -1676620432L, -1660027308L, + -1643184191L, -1626093616L, -1608758157L, -1591180426L, -1573363068L, + -1555308768L, -1537020244L, -1518500250L, -1499751576L, -1480777044L, + -1461579514L, -1442161874L, -1422527051L, -1402678000L, -1382617710L, + -1362349204L, -1341875533L, -1321199781L, -1300325060L, -1279254516L, + -1257991320L, -1236538675L, -1214899813L, -1193077991L, -1171076495L, + -1148898640L, -1126547765L, -1104027237L, -1081340445L, -1058490808L, + -1035481766L, -1012316784L, -988999351L, -965532978L, -941921200L, + -918167572L, -894275671L, -870249095L, -846091463L, -821806413L, -797397602L, + -772868706L, -748223418L, -723465451L, -698598533L, -673626408L, -648552838L, + -623381598L, -598116479L, -572761285L, -547319836L, -521795963L, -496193509L, + -470516330L, -444768294L, -418953276L, -393075166L, -367137861L, -341145265L, + -315101295L, -289009871L, -262874923L, -236700388L, -210490206L, -184248325L, + -157978697L, -131685278L, -105372028L, -79042909L, -52701887L, -26352928L, 0 +}; + +/** + * \par + * Table values are in Q15 (1.15 fixed-point format) and generation is done in + * three steps. First, generate sin values in floating point: + *
+ * tableSize = 512;
+ * for(n = 0; n < (tableSize + 1); n++)
+ * {
+ *	sinTable[n]= sin(2*pi*n/tableSize);
+ * } 
+ * where pi value is 3.14159265358979 + * \par + * Second, convert floating-point to Q15 (Fixed point): + * (sinTable[i] * pow(2, 15)) + * \par + * Finally, round to the nearest integer value: + * sinTable[i] += (sinTable[i] > 0 ? 0.5 :-0.5); + */ +const q15_t sinTable_q15[FAST_MATH_TABLE_SIZE + 1] = { + 0, 402, 804, 1206, 1608, 2009, 2411, 2811, 3212, 3612, 4011, 4410, 4808, + 5205, 5602, 5998, 6393, 6787, 7180, 7571, 7962, 8351, 8740, 9127, 9512, + 9896, 10279, 10660, 11039, 11417, 11793, 12167, 12540, 12910, 13279, + 13646, 14010, 14373, 14733, 15091, 15447, 15800, 16151, 16500, 16846, + 17190, 17531, 17869, 18205, 18538, 18868, 19195, 19520, 19841, 20160, + 20475, 20788, 21097, 21403, 21706, 22006, 22302, 22595, 22884, 23170, + 23453, 23732, 24008, 24279, 24548, 24812, 25073, 25330, 25583, 25833, + 26078, 26320, 26557, 26791, 27020, 27246, 27467, 27684, 27897, 28106, + 28311, 28511, 28707, 28899, 29086, 29269, 29448, 29622, 29792, 29957, + 30118, 30274, 30425, 30572, 30715, 30853, 30986, 31114, 31238, 31357, + 31471, 31581, 31686, 31786, 31881, 31972, 32058, 32138, 32214, 32286, + 32352, 32413, 32470, 32522, 32568, 32610, 32647, 32679, 32706, 32729, + 32746, 32758, 32766, 32767, 32766, 32758, 32746, 32729, 32706, 32679, + 32647, 32610, 32568, 32522, 32470, 32413, 32352, 32286, 32214, 32138, + 32058, 31972, 31881, 31786, 31686, 31581, 31471, 31357, 31238, 31114, + 30986, 30853, 30715, 30572, 30425, 30274, 30118, 29957, 29792, 29622, + 29448, 29269, 29086, 28899, 28707, 28511, 28311, 28106, 27897, 27684, + 27467, 27246, 27020, 26791, 26557, 26320, 26078, 25833, 25583, 25330, + 25073, 24812, 24548, 24279, 24008, 23732, 23453, 23170, 22884, 22595, + 22302, 22006, 21706, 21403, 21097, 20788, 20475, 20160, 19841, 19520, + 19195, 18868, 18538, 18205, 17869, 17531, 17190, 16846, 16500, 16151, + 15800, 15447, 15091, 14733, 14373, 14010, 13646, 13279, 12910, 12540, + 12167, 11793, 11417, 11039, 10660, 10279, 9896, 9512, 9127, 8740, 8351, + 7962, 7571, 7180, 6787, 6393, 5998, 5602, 5205, 4808, 4410, 4011, 3612, + 3212, 2811, 2411, 2009, 1608, 1206, 804, 402, 0, -402, -804, -1206, + -1608, -2009, -2411, -2811, -3212, -3612, -4011, -4410, -4808, -5205, + -5602, -5998, -6393, -6787, -7180, -7571, -7962, -8351, -8740, -9127, + -9512, -9896, -10279, -10660, -11039, -11417, -11793, -12167, -12540, + -12910, -13279, -13646, -14010, -14373, -14733, -15091, -15447, -15800, + -16151, -16500, -16846, -17190, -17531, -17869, -18205, -18538, -18868, + -19195, -19520, -19841, -20160, -20475, -20788, -21097, -21403, -21706, + -22006, -22302, -22595, -22884, -23170, -23453, -23732, -24008, -24279, + -24548, -24812, -25073, -25330, -25583, -25833, -26078, -26320, -26557, + -26791, -27020, -27246, -27467, -27684, -27897, -28106, -28311, -28511, + -28707, -28899, -29086, -29269, -29448, -29622, -29792, -29957, -30118, + -30274, -30425, -30572, -30715, -30853, -30986, -31114, -31238, -31357, + -31471, -31581, -31686, -31786, -31881, -31972, -32058, -32138, -32214, + -32286, -32352, -32413, -32470, -32522, -32568, -32610, -32647, -32679, + -32706, -32729, -32746, -32758, -32766, -32768, -32766, -32758, -32746, + -32729, -32706, -32679, -32647, -32610, -32568, -32522, -32470, -32413, + -32352, -32286, -32214, -32138, -32058, -31972, -31881, -31786, -31686, + -31581, -31471, -31357, -31238, -31114, -30986, -30853, -30715, -30572, + -30425, -30274, -30118, -29957, -29792, -29622, -29448, -29269, -29086, + -28899, -28707, -28511, -28311, -28106, -27897, -27684, -27467, -27246, + -27020, -26791, -26557, -26320, -26078, -25833, -25583, -25330, -25073, + -24812, -24548, -24279, -24008, -23732, -23453, -23170, -22884, -22595, + -22302, -22006, -21706, -21403, -21097, -20788, -20475, -20160, -19841, + -19520, -19195, -18868, -18538, -18205, -17869, -17531, -17190, -16846, + -16500, -16151, -15800, -15447, -15091, -14733, -14373, -14010, -13646, + -13279, -12910, -12540, -12167, -11793, -11417, -11039, -10660, -10279, + -9896, -9512, -9127, -8740, -8351, -7962, -7571, -7180, -6787, -6393, + -5998, -5602, -5205, -4808, -4410, -4011, -3612, -3212, -2811, -2411, + -2009, -1608, -1206, -804, -402, 0 +}; diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/CommonTables/arm_const_structs.c b/cdc-dials/Drivers/CMSIS/DSP/Source/CommonTables/arm_const_structs.c new file mode 100644 index 0000000..96808d3 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/CommonTables/arm_const_structs.c @@ -0,0 +1,379 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_const_structs.c + * Description: Constant structs that are initialized for user convenience. + * For example, some can be given as arguments to the arm_cfft_f32() or arm_rfft_f32() functions. + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_const_structs.h" + +/* Floating-point structs */ +const arm_cfft_instance_f32 arm_cfft_sR_f32_len16 = { + 16, twiddleCoef_16, armBitRevIndexTable16, ARMBITREVINDEXTABLE_16_TABLE_LENGTH +}; + +const arm_cfft_instance_f32 arm_cfft_sR_f32_len32 = { + 32, twiddleCoef_32, armBitRevIndexTable32, ARMBITREVINDEXTABLE_32_TABLE_LENGTH +}; + +const arm_cfft_instance_f32 arm_cfft_sR_f32_len64 = { + 64, twiddleCoef_64, armBitRevIndexTable64, ARMBITREVINDEXTABLE_64_TABLE_LENGTH +}; + +const arm_cfft_instance_f32 arm_cfft_sR_f32_len128 = { + 128, twiddleCoef_128, armBitRevIndexTable128, ARMBITREVINDEXTABLE_128_TABLE_LENGTH +}; + +const arm_cfft_instance_f32 arm_cfft_sR_f32_len256 = { + 256, twiddleCoef_256, armBitRevIndexTable256, ARMBITREVINDEXTABLE_256_TABLE_LENGTH +}; + +const arm_cfft_instance_f32 arm_cfft_sR_f32_len512 = { + 512, twiddleCoef_512, armBitRevIndexTable512, ARMBITREVINDEXTABLE_512_TABLE_LENGTH +}; + +const arm_cfft_instance_f32 arm_cfft_sR_f32_len1024 = { + 1024, twiddleCoef_1024, armBitRevIndexTable1024, ARMBITREVINDEXTABLE_1024_TABLE_LENGTH +}; + +const arm_cfft_instance_f32 arm_cfft_sR_f32_len2048 = { + 2048, twiddleCoef_2048, armBitRevIndexTable2048, ARMBITREVINDEXTABLE_2048_TABLE_LENGTH +}; + +const arm_cfft_instance_f32 arm_cfft_sR_f32_len4096 = { + 4096, twiddleCoef_4096, armBitRevIndexTable4096, ARMBITREVINDEXTABLE_4096_TABLE_LENGTH +}; + +/* Fixed-point structs */ +const arm_cfft_instance_q31 arm_cfft_sR_q31_len16 = { + 16, twiddleCoef_16_q31, armBitRevIndexTable_fixed_16, ARMBITREVINDEXTABLE_FIXED_16_TABLE_LENGTH +}; + +const arm_cfft_instance_q31 arm_cfft_sR_q31_len32 = { + 32, twiddleCoef_32_q31, armBitRevIndexTable_fixed_32, ARMBITREVINDEXTABLE_FIXED_32_TABLE_LENGTH +}; + +const arm_cfft_instance_q31 arm_cfft_sR_q31_len64 = { + 64, twiddleCoef_64_q31, armBitRevIndexTable_fixed_64, ARMBITREVINDEXTABLE_FIXED_64_TABLE_LENGTH +}; + +const arm_cfft_instance_q31 arm_cfft_sR_q31_len128 = { + 128, twiddleCoef_128_q31, armBitRevIndexTable_fixed_128, ARMBITREVINDEXTABLE_FIXED_128_TABLE_LENGTH +}; + +const arm_cfft_instance_q31 arm_cfft_sR_q31_len256 = { + 256, twiddleCoef_256_q31, armBitRevIndexTable_fixed_256, ARMBITREVINDEXTABLE_FIXED_256_TABLE_LENGTH +}; + +const arm_cfft_instance_q31 arm_cfft_sR_q31_len512 = { + 512, twiddleCoef_512_q31, armBitRevIndexTable_fixed_512, ARMBITREVINDEXTABLE_FIXED_512_TABLE_LENGTH +}; + +const arm_cfft_instance_q31 arm_cfft_sR_q31_len1024 = { + 1024, twiddleCoef_1024_q31, armBitRevIndexTable_fixed_1024, ARMBITREVINDEXTABLE_FIXED_1024_TABLE_LENGTH +}; + +const arm_cfft_instance_q31 arm_cfft_sR_q31_len2048 = { + 2048, twiddleCoef_2048_q31, armBitRevIndexTable_fixed_2048, ARMBITREVINDEXTABLE_FIXED_2048_TABLE_LENGTH +}; + +const arm_cfft_instance_q31 arm_cfft_sR_q31_len4096 = { + 4096, twiddleCoef_4096_q31, armBitRevIndexTable_fixed_4096, ARMBITREVINDEXTABLE_FIXED_4096_TABLE_LENGTH +}; + +const arm_cfft_instance_q15 arm_cfft_sR_q15_len16 = { + 16, twiddleCoef_16_q15, armBitRevIndexTable_fixed_16, ARMBITREVINDEXTABLE_FIXED_16_TABLE_LENGTH +}; + +const arm_cfft_instance_q15 arm_cfft_sR_q15_len32 = { + 32, twiddleCoef_32_q15, armBitRevIndexTable_fixed_32, ARMBITREVINDEXTABLE_FIXED_32_TABLE_LENGTH +}; + +const arm_cfft_instance_q15 arm_cfft_sR_q15_len64 = { + 64, twiddleCoef_64_q15, armBitRevIndexTable_fixed_64, ARMBITREVINDEXTABLE_FIXED_64_TABLE_LENGTH +}; + +const arm_cfft_instance_q15 arm_cfft_sR_q15_len128 = { + 128, twiddleCoef_128_q15, armBitRevIndexTable_fixed_128, ARMBITREVINDEXTABLE_FIXED_128_TABLE_LENGTH +}; + +const arm_cfft_instance_q15 arm_cfft_sR_q15_len256 = { + 256, twiddleCoef_256_q15, armBitRevIndexTable_fixed_256, ARMBITREVINDEXTABLE_FIXED_256_TABLE_LENGTH +}; + +const arm_cfft_instance_q15 arm_cfft_sR_q15_len512 = { + 512, twiddleCoef_512_q15, armBitRevIndexTable_fixed_512, ARMBITREVINDEXTABLE_FIXED_512_TABLE_LENGTH +}; + +const arm_cfft_instance_q15 arm_cfft_sR_q15_len1024 = { + 1024, twiddleCoef_1024_q15, armBitRevIndexTable_fixed_1024, ARMBITREVINDEXTABLE_FIXED_1024_TABLE_LENGTH +}; + +const arm_cfft_instance_q15 arm_cfft_sR_q15_len2048 = { + 2048, twiddleCoef_2048_q15, armBitRevIndexTable_fixed_2048, ARMBITREVINDEXTABLE_FIXED_2048_TABLE_LENGTH +}; + +const arm_cfft_instance_q15 arm_cfft_sR_q15_len4096 = { + 4096, twiddleCoef_4096_q15, armBitRevIndexTable_fixed_4096, ARMBITREVINDEXTABLE_FIXED_4096_TABLE_LENGTH +}; + +/* Structure for real-value inputs */ +/* Floating-point structs */ +const arm_rfft_fast_instance_f32 arm_rfft_fast_sR_f32_len32 = { + { 16, twiddleCoef_32, armBitRevIndexTable32, ARMBITREVINDEXTABLE_16_TABLE_LENGTH }, + 32U, + (float32_t *)twiddleCoef_rfft_32 +}; + +const arm_rfft_fast_instance_f32 arm_rfft_fast_sR_f32_len64 = { + { 32, twiddleCoef_32, armBitRevIndexTable32, ARMBITREVINDEXTABLE_32_TABLE_LENGTH }, + 64U, + (float32_t *)twiddleCoef_rfft_64 +}; + +const arm_rfft_fast_instance_f32 arm_rfft_fast_sR_f32_len128 = { + { 64, twiddleCoef_64, armBitRevIndexTable64, ARMBITREVINDEXTABLE_64_TABLE_LENGTH }, + 128U, + (float32_t *)twiddleCoef_rfft_128 +}; + +const arm_rfft_fast_instance_f32 arm_rfft_fast_sR_f32_len256 = { + { 128, twiddleCoef_128, armBitRevIndexTable128, ARMBITREVINDEXTABLE_128_TABLE_LENGTH }, + 256U, + (float32_t *)twiddleCoef_rfft_256 +}; + +const arm_rfft_fast_instance_f32 arm_rfft_fast_sR_f32_len512 = { + { 256, twiddleCoef_256, armBitRevIndexTable256, ARMBITREVINDEXTABLE_256_TABLE_LENGTH }, + 512U, + (float32_t *)twiddleCoef_rfft_512 +}; + +const arm_rfft_fast_instance_f32 arm_rfft_fast_sR_f32_len1024 = { + { 512, twiddleCoef_512, armBitRevIndexTable512, ARMBITREVINDEXTABLE_512_TABLE_LENGTH }, + 1024U, + (float32_t *)twiddleCoef_rfft_1024 +}; + +const arm_rfft_fast_instance_f32 arm_rfft_fast_sR_f32_len2048 = { + { 1024, twiddleCoef_1024, armBitRevIndexTable1024, ARMBITREVINDEXTABLE_1024_TABLE_LENGTH }, + 2048U, + (float32_t *)twiddleCoef_rfft_2048 +}; + +const arm_rfft_fast_instance_f32 arm_rfft_fast_sR_f32_len4096 = { + { 2048, twiddleCoef_2048, armBitRevIndexTable2048, ARMBITREVINDEXTABLE_2048_TABLE_LENGTH }, + 4096U, + (float32_t *)twiddleCoef_rfft_4096 +}; + +/* Fixed-point structs */ +/* q31_t */ +extern const q31_t realCoefAQ31[8192]; +extern const q31_t realCoefBQ31[8192]; + +const arm_rfft_instance_q31 arm_rfft_sR_q31_len32 = { + 32U, + 0, + 1, + 256U, + (q31_t*)realCoefAQ31, + (q31_t*)realCoefBQ31, + &arm_cfft_sR_q31_len16 +}; + +const arm_rfft_instance_q31 arm_rfft_sR_q31_len64 = { + 64U, + 0, + 1, + 128U, + (q31_t*)realCoefAQ31, + (q31_t*)realCoefBQ31, + &arm_cfft_sR_q31_len32 +}; + +const arm_rfft_instance_q31 arm_rfft_sR_q31_len128 = { + 128U, + 0, + 1, + 64U, + (q31_t*)realCoefAQ31, + (q31_t*)realCoefBQ31, + &arm_cfft_sR_q31_len64 +}; + +const arm_rfft_instance_q31 arm_rfft_sR_q31_len256 = { + 256U, + 0, + 1, + 32U, + (q31_t*)realCoefAQ31, + (q31_t*)realCoefBQ31, + &arm_cfft_sR_q31_len128 +}; + +const arm_rfft_instance_q31 arm_rfft_sR_q31_len512 = { + 512U, + 0, + 1, + 16U, + (q31_t*)realCoefAQ31, + (q31_t*)realCoefBQ31, + &arm_cfft_sR_q31_len256 +}; + +const arm_rfft_instance_q31 arm_rfft_sR_q31_len1024 = { + 1024U, + 0, + 1, + 8U, + (q31_t*)realCoefAQ31, + (q31_t*)realCoefBQ31, + &arm_cfft_sR_q31_len512 +}; + +const arm_rfft_instance_q31 arm_rfft_sR_q31_len2048 = { + 2048U, + 0, + 1, + 4U, + (q31_t*)realCoefAQ31, + (q31_t*)realCoefBQ31, + &arm_cfft_sR_q31_len1024 +}; + +const arm_rfft_instance_q31 arm_rfft_sR_q31_len4096 = { + 4096U, + 0, + 1, + 2U, + (q31_t*)realCoefAQ31, + (q31_t*)realCoefBQ31, + &arm_cfft_sR_q31_len2048 +}; + +const arm_rfft_instance_q31 arm_rfft_sR_q31_len8192 = { + 8192U, + 0, + 1, + 1U, + (q31_t*)realCoefAQ31, + (q31_t*)realCoefBQ31, + &arm_cfft_sR_q31_len4096 +}; + +/* q15_t */ +extern const q15_t realCoefAQ15[8192]; +extern const q15_t realCoefBQ15[8192]; + +const arm_rfft_instance_q15 arm_rfft_sR_q15_len32 = { + 32U, + 0, + 1, + 256U, + (q15_t*)realCoefAQ15, + (q15_t*)realCoefBQ15, + &arm_cfft_sR_q15_len16 +}; + +const arm_rfft_instance_q15 arm_rfft_sR_q15_len64 = { + 64U, + 0, + 1, + 128U, + (q15_t*)realCoefAQ15, + (q15_t*)realCoefBQ15, + &arm_cfft_sR_q15_len32 +}; + +const arm_rfft_instance_q15 arm_rfft_sR_q15_len128 = { + 128U, + 0, + 1, + 64U, + (q15_t*)realCoefAQ15, + (q15_t*)realCoefBQ15, + &arm_cfft_sR_q15_len64 +}; + +const arm_rfft_instance_q15 arm_rfft_sR_q15_len256 = { + 256U, + 0, + 1, + 32U, + (q15_t*)realCoefAQ15, + (q15_t*)realCoefBQ15, + &arm_cfft_sR_q15_len128 +}; + +const arm_rfft_instance_q15 arm_rfft_sR_q15_len512 = { + 512U, + 0, + 1, + 16U, + (q15_t*)realCoefAQ15, + (q15_t*)realCoefBQ15, + &arm_cfft_sR_q15_len256 +}; + +const arm_rfft_instance_q15 arm_rfft_sR_q15_len1024 = { + 1024U, + 0, + 1, + 8U, + (q15_t*)realCoefAQ15, + (q15_t*)realCoefBQ15, + &arm_cfft_sR_q15_len512 +}; + +const arm_rfft_instance_q15 arm_rfft_sR_q15_len2048 = { + 2048U, + 0, + 1, + 4U, + (q15_t*)realCoefAQ15, + (q15_t*)realCoefBQ15, + &arm_cfft_sR_q15_len1024 +}; + +const arm_rfft_instance_q15 arm_rfft_sR_q15_len4096 = { + 4096U, + 0, + 1, + 2U, + (q15_t*)realCoefAQ15, + (q15_t*)realCoefBQ15, + &arm_cfft_sR_q15_len2048 +}; + +const arm_rfft_instance_q15 arm_rfft_sR_q15_len8192 = { + 8192U, + 0, + 1, + 1U, + (q15_t*)realCoefAQ15, + (q15_t*)realCoefBQ15, + &arm_cfft_sR_q15_len4096 +}; diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_conj_f32.c b/cdc-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_conj_f32.c new file mode 100644 index 0000000..29e74bc --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_conj_f32.c @@ -0,0 +1,171 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_cmplx_conj_f32.c + * Description: Floating-point complex conjugate + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupCmplxMath + */ + +/** + * @defgroup cmplx_conj Complex Conjugate + * + * Conjugates the elements of a complex data vector. + * + * The pSrc points to the source data and + * pDst points to the where the result should be written. + * numSamples specifies the number of complex samples + * and the data in each array is stored in an interleaved fashion + * (real, imag, real, imag, ...). + * Each array has a total of 2*numSamples values. + * The underlying algorithm is used: + * + *
+ * for(n=0; n
+ *
+ * There are separate functions for floating-point, Q15, and Q31 data types.
+ */
+
+/**
+ * @addtogroup cmplx_conj
+ * @{
+ */
+
+/**
+ * @brief  Floating-point complex conjugate.
+ * @param  *pSrc points to the input vector
+ * @param  *pDst points to the output vector
+ * @param  numSamples number of complex samples in each vector
+ * @return none.
+ */
+
+void arm_cmplx_conj_f32(
+  float32_t * pSrc,
+  float32_t * pDst,
+  uint32_t numSamples)
+{
+  uint32_t blkCnt;                               /* loop counter */
+
+#if defined (ARM_MATH_DSP)
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+  float32_t inR1, inR2, inR3, inR4;
+  float32_t inI1, inI2, inI3, inI4;
+
+  /*loop Unrolling */
+  blkCnt = numSamples >> 2U;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while (blkCnt > 0U)
+  {
+    /* C[0]+jC[1] = A[0]+ j (-1) A[1] */
+    /* Calculate Complex Conjugate and then store the results in the destination buffer. */
+    /* read real input samples */
+    inR1 = pSrc[0];
+    /* store real samples to destination */
+    pDst[0] = inR1;
+    inR2 = pSrc[2];
+    pDst[2] = inR2;
+    inR3 = pSrc[4];
+    pDst[4] = inR3;
+    inR4 = pSrc[6];
+    pDst[6] = inR4;
+
+    /* read imaginary input samples */
+    inI1 = pSrc[1];
+    inI2 = pSrc[3];
+
+    /* conjugate input */
+    inI1 = -inI1;
+
+    /* read imaginary input samples */
+    inI3 = pSrc[5];
+
+    /* conjugate input */
+    inI2 = -inI2;
+
+    /* read imaginary input samples */
+    inI4 = pSrc[7];
+
+    /* conjugate input */
+    inI3 = -inI3;
+
+    /* store imaginary samples to destination */
+    pDst[1] = inI1;
+    pDst[3] = inI2;
+
+    /* conjugate input */
+    inI4 = -inI4;
+
+    /* store imaginary samples to destination */
+    pDst[5] = inI3;
+
+    /* increment source pointer by 8 to process next sampels */
+    pSrc += 8U;
+
+    /* store imaginary sample to destination */
+    pDst[7] = inI4;
+
+    /* increment destination pointer by 8 to store next samples */
+    pDst += 8U;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the numSamples is not a multiple of 4, compute any remaining output samples here.
+   ** No loop unrolling is used. */
+  blkCnt = numSamples % 0x4U;
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+  blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+  while (blkCnt > 0U)
+  {
+    /* realOut + j (imagOut) = realIn + j (-1) imagIn */
+    /* Calculate Complex Conjugate and then store the results in the destination buffer. */
+    *pDst++ = *pSrc++;
+    *pDst++ = -*pSrc++;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+}
+
+/**
+ * @} end of cmplx_conj group
+ */
diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_conj_q15.c b/cdc-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_conj_q15.c
new file mode 100644
index 0000000..1e371bd
--- /dev/null
+++ b/cdc-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_conj_q15.c
@@ -0,0 +1,149 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_cmplx_conj_q15.c
+ * Description:  Q15 complex conjugate
+ *
+ * $Date:        27. January 2017
+ * $Revision:    V.1.5.1
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ * @ingroup groupCmplxMath
+ */
+
+/**
+ * @addtogroup cmplx_conj
+ * @{
+ */
+
+/**
+ * @brief  Q15 complex conjugate.
+ * @param  *pSrc points to the input vector
+ * @param  *pDst points to the output vector
+ * @param  numSamples number of complex samples in each vector
+ * @return none.
+ *
+ * Scaling and Overflow Behavior:
+ * \par
+ * The function uses saturating arithmetic.
+ * The Q15 value -1 (0x8000) will be saturated to the maximum allowable positive value 0x7FFF.
+ */
+
+void arm_cmplx_conj_q15(
+  q15_t * pSrc,
+  q15_t * pDst,
+  uint32_t numSamples)
+{
+
+#if defined (ARM_MATH_DSP)
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+  uint32_t blkCnt;                               /* loop counter */
+  q31_t in1, in2, in3, in4;
+  q31_t zero = 0;
+
+  /*loop Unrolling */
+  blkCnt = numSamples >> 2U;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while (blkCnt > 0U)
+  {
+    /* C[0]+jC[1] = A[0]+ j (-1) A[1] */
+    /* Calculate Complex Conjugate and then store the results in the destination buffer. */
+    in1 = *__SIMD32(pSrc)++;
+    in2 = *__SIMD32(pSrc)++;
+    in3 = *__SIMD32(pSrc)++;
+    in4 = *__SIMD32(pSrc)++;
+
+#ifndef ARM_MATH_BIG_ENDIAN
+
+    in1 = __QASX(zero, in1);
+    in2 = __QASX(zero, in2);
+    in3 = __QASX(zero, in3);
+    in4 = __QASX(zero, in4);
+
+#else
+
+    in1 = __QSAX(zero, in1);
+    in2 = __QSAX(zero, in2);
+    in3 = __QSAX(zero, in3);
+    in4 = __QSAX(zero, in4);
+
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+    in1 = ((uint32_t) in1 >> 16) | ((uint32_t) in1 << 16);
+    in2 = ((uint32_t) in2 >> 16) | ((uint32_t) in2 << 16);
+    in3 = ((uint32_t) in3 >> 16) | ((uint32_t) in3 << 16);
+    in4 = ((uint32_t) in4 >> 16) | ((uint32_t) in4 << 16);
+
+    *__SIMD32(pDst)++ = in1;
+    *__SIMD32(pDst)++ = in2;
+    *__SIMD32(pDst)++ = in3;
+    *__SIMD32(pDst)++ = in4;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the numSamples is not a multiple of 4, compute any remaining output samples here.
+   ** No loop unrolling is used. */
+  blkCnt = numSamples % 0x4U;
+
+  while (blkCnt > 0U)
+  {
+    /* C[0]+jC[1] = A[0]+ j (-1) A[1] */
+    /* Calculate Complex Conjugate and then store the results in the destination buffer. */
+    *pDst++ = *pSrc++;
+    *pDst++ = __SSAT(-*pSrc++, 16);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+#else
+
+  q15_t in;
+
+  /* Run the below code for Cortex-M0 */
+
+  while (numSamples > 0U)
+  {
+    /* realOut + j (imagOut) = realIn+ j (-1) imagIn */
+    /* Calculate Complex Conjugate and then store the results in the destination buffer. */
+    *pDst++ = *pSrc++;
+    in = *pSrc++;
+    *pDst++ = (in == (q15_t) 0x8000) ? 0x7fff : -in;
+
+    /* Decrement the loop counter */
+    numSamples--;
+  }
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+}
+
+/**
+ * @} end of cmplx_conj group
+ */
diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_conj_q31.c b/cdc-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_conj_q31.c
new file mode 100644
index 0000000..af14414
--- /dev/null
+++ b/cdc-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_conj_q31.c
@@ -0,0 +1,169 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_cmplx_conj_q31.c
+ * Description:  Q31 complex conjugate
+ *
+ * $Date:        27. January 2017
+ * $Revision:    V.1.5.1
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ * @ingroup groupCmplxMath
+ */
+
+/**
+ * @addtogroup cmplx_conj
+ * @{
+ */
+
+/**
+ * @brief  Q31 complex conjugate.
+ * @param  *pSrc points to the input vector
+ * @param  *pDst points to the output vector
+ * @param  numSamples number of complex samples in each vector
+ * @return none.
+ *
+ * Scaling and Overflow Behavior:
+ * \par
+ * The function uses saturating arithmetic.
+ * The Q31 value -1 (0x80000000) will be saturated to the maximum allowable positive value 0x7FFFFFFF.
+ */
+
+void arm_cmplx_conj_q31(
+  q31_t * pSrc,
+  q31_t * pDst,
+  uint32_t numSamples)
+{
+  uint32_t blkCnt;                               /* loop counter */
+  q31_t in;                                      /* Input value */
+
+#if defined (ARM_MATH_DSP)
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+  q31_t inR1, inR2, inR3, inR4;                  /* Temporary real variables */
+  q31_t inI1, inI2, inI3, inI4;                  /* Temporary imaginary variables */
+
+  /*loop Unrolling */
+  blkCnt = numSamples >> 2U;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while (blkCnt > 0U)
+  {
+    /* C[0]+jC[1] = A[0]+ j (-1) A[1] */
+    /* Calculate Complex Conjugate and then store the results in the destination buffer. */
+    /* Saturated to 0x7fffffff if the input is -1(0x80000000) */
+    /* read real input sample */
+    inR1 = pSrc[0];
+    /* store real input sample */
+    pDst[0] = inR1;
+
+    /* read imaginary input sample */
+    inI1 = pSrc[1];
+
+    /* read real input sample */
+    inR2 = pSrc[2];
+    /* store real input sample */
+    pDst[2] = inR2;
+
+    /* read imaginary input sample */
+    inI2 = pSrc[3];
+
+    /* negate imaginary input sample */
+    inI1 = __QSUB(0, inI1);
+
+    /* read real input sample */
+    inR3 = pSrc[4];
+    /* store real input sample */
+    pDst[4] = inR3;
+
+    /* read imaginary input sample */
+    inI3 = pSrc[5];
+
+    /* negate imaginary input sample */
+    inI2 = __QSUB(0, inI2);
+
+    /* read real input sample */
+    inR4 = pSrc[6];
+    /* store real input sample */
+    pDst[6] = inR4;
+
+    /* negate imaginary input sample */
+    inI3 = __QSUB(0, inI3);
+
+    /* store imaginary input sample */
+    inI4 = pSrc[7];
+
+    /* store imaginary input samples */
+    pDst[1] = inI1;
+
+    /* negate imaginary input sample */
+    inI4 = __QSUB(0, inI4);
+
+    /* store imaginary input samples */
+    pDst[3] = inI2;
+
+    /* increment source pointer by 8 to proecess next samples */
+    pSrc += 8U;
+
+    /* store imaginary input samples */
+    pDst[5] = inI3;
+    pDst[7] = inI4;
+
+    /* increment destination pointer by 8 to process next samples */
+    pDst += 8U;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the numSamples is not a multiple of 4, compute any remaining output samples here.
+   ** No loop unrolling is used. */
+  blkCnt = numSamples % 0x4U;
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+  blkCnt = numSamples;
+
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+  while (blkCnt > 0U)
+  {
+    /* C[0]+jC[1] = A[0]+ j (-1) A[1] */
+    /* Calculate Complex Conjugate and then store the results in the destination buffer. */
+    /* Saturated to 0x7fffffff if the input is -1(0x80000000) */
+    *pDst++ = *pSrc++;
+    in = *pSrc++;
+    *pDst++ = (in == INT32_MIN) ? INT32_MAX : -in;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+}
+
+/**
+ * @} end of cmplx_conj group
+ */
diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_dot_prod_f32.c b/cdc-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_dot_prod_f32.c
new file mode 100644
index 0000000..aac177f
--- /dev/null
+++ b/cdc-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_dot_prod_f32.c
@@ -0,0 +1,191 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_cmplx_dot_prod_f32.c
+ * Description:  Floating-point complex dot product
+ *
+ * $Date:        27. January 2017
+ * $Revision:    V.1.5.1
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ * @ingroup groupCmplxMath
+ */
+
+/**
+ * @defgroup cmplx_dot_prod Complex Dot Product
+ *
+ * Computes the dot product of two complex vectors.
+ * The vectors are multiplied element-by-element and then summed.
+ *
+ * The pSrcA points to the first complex input vector and
+ * pSrcB points to the second complex input vector.
+ * numSamples specifies the number of complex samples
+ * and the data in each array is stored in an interleaved fashion
+ * (real, imag, real, imag, ...).
+ * Each array has a total of 2*numSamples values.
+ *
+ * The underlying algorithm is used:
+ * 
+ * realResult=0;
+ * imagResult=0;
+ * for(n=0; n
+ *
+ * There are separate functions for floating-point, Q15, and Q31 data types.
+ */
+
+/**
+ * @addtogroup cmplx_dot_prod
+ * @{
+ */
+
+/**
+ * @brief  Floating-point complex dot product
+ * @param  *pSrcA points to the first input vector
+ * @param  *pSrcB points to the second input vector
+ * @param  numSamples number of complex samples in each vector
+ * @param  *realResult real part of the result returned here
+ * @param  *imagResult imaginary part of the result returned here
+ * @return none.
+ */
+
+void arm_cmplx_dot_prod_f32(
+  float32_t * pSrcA,
+  float32_t * pSrcB,
+  uint32_t numSamples,
+  float32_t * realResult,
+  float32_t * imagResult)
+{
+  float32_t real_sum = 0.0f, imag_sum = 0.0f;    /* Temporary result storage */
+  float32_t a0,b0,c0,d0;
+
+#if defined (ARM_MATH_DSP)
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+  uint32_t blkCnt;                               /* loop counter */
+
+  /*loop Unrolling */
+  blkCnt = numSamples >> 2U;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while (blkCnt > 0U)
+  {
+      a0 = *pSrcA++;
+      b0 = *pSrcA++;
+      c0 = *pSrcB++;
+      d0 = *pSrcB++;
+
+      real_sum += a0 * c0;
+      imag_sum += a0 * d0;
+      real_sum -= b0 * d0;
+      imag_sum += b0 * c0;
+
+      a0 = *pSrcA++;
+      b0 = *pSrcA++;
+      c0 = *pSrcB++;
+      d0 = *pSrcB++;
+
+      real_sum += a0 * c0;
+      imag_sum += a0 * d0;
+      real_sum -= b0 * d0;
+      imag_sum += b0 * c0;
+
+      a0 = *pSrcA++;
+      b0 = *pSrcA++;
+      c0 = *pSrcB++;
+      d0 = *pSrcB++;
+
+      real_sum += a0 * c0;
+      imag_sum += a0 * d0;
+      real_sum -= b0 * d0;
+      imag_sum += b0 * c0;
+
+      a0 = *pSrcA++;
+      b0 = *pSrcA++;
+      c0 = *pSrcB++;
+      d0 = *pSrcB++;
+
+      real_sum += a0 * c0;
+      imag_sum += a0 * d0;
+      real_sum -= b0 * d0;
+      imag_sum += b0 * c0;
+
+      /* Decrement the loop counter */
+      blkCnt--;
+  }
+
+  /* If the numSamples is not a multiple of 4, compute any remaining output samples here.
+   ** No loop unrolling is used. */
+  blkCnt = numSamples & 0x3U;
+
+  while (blkCnt > 0U)
+  {
+      a0 = *pSrcA++;
+      b0 = *pSrcA++;
+      c0 = *pSrcB++;
+      d0 = *pSrcB++;
+
+      real_sum += a0 * c0;
+      imag_sum += a0 * d0;
+      real_sum -= b0 * d0;
+      imag_sum += b0 * c0;
+
+      /* Decrement the loop counter */
+      blkCnt--;
+  }
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  while (numSamples > 0U)
+  {
+      a0 = *pSrcA++;
+      b0 = *pSrcA++;
+      c0 = *pSrcB++;
+      d0 = *pSrcB++;
+
+      real_sum += a0 * c0;
+      imag_sum += a0 * d0;
+      real_sum -= b0 * d0;
+      imag_sum += b0 * c0;
+
+      /* Decrement the loop counter */
+      numSamples--;
+  }
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+  /* Store the real and imaginary results in the destination buffers */
+  *realResult = real_sum;
+  *imagResult = imag_sum;
+}
+
+/**
+ * @} end of cmplx_dot_prod group
+ */
diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_dot_prod_q15.c b/cdc-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_dot_prod_q15.c
new file mode 100644
index 0000000..efe72a2
--- /dev/null
+++ b/cdc-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_dot_prod_q15.c
@@ -0,0 +1,177 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_cmplx_dot_prod_q15.c
+ * Description:  Processing function for the Q15 Complex Dot product
+ *
+ * $Date:        27. January 2017
+ * $Revision:    V.1.5.1
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ * @ingroup groupCmplxMath
+ */
+
+/**
+ * @addtogroup cmplx_dot_prod
+ * @{
+ */
+
+/**
+ * @brief  Q15 complex dot product
+ * @param  *pSrcA points to the first input vector
+ * @param  *pSrcB points to the second input vector
+ * @param  numSamples number of complex samples in each vector
+ * @param  *realResult real part of the result returned here
+ * @param  *imagResult imaginary part of the result returned here
+ * @return none.
+ *
+ * Scaling and Overflow Behavior:
+ * \par
+ * The function is implemented using an internal 64-bit accumulator.
+ * The intermediate 1.15 by 1.15 multiplications are performed with full precision and yield a 2.30 result.
+ * These are accumulated in a 64-bit accumulator with 34.30 precision.
+ * As a final step, the accumulators are converted to 8.24 format.
+ * The return results realResult and imagResult are in 8.24 format.
+ */
+
+void arm_cmplx_dot_prod_q15(
+  q15_t * pSrcA,
+  q15_t * pSrcB,
+  uint32_t numSamples,
+  q31_t * realResult,
+  q31_t * imagResult)
+{
+  q63_t real_sum = 0, imag_sum = 0;              /* Temporary result storage */
+  q15_t a0,b0,c0,d0;
+
+#if defined (ARM_MATH_DSP)
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+  uint32_t blkCnt;                               /* loop counter */
+
+
+  /*loop Unrolling */
+  blkCnt = numSamples >> 2U;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while (blkCnt > 0U)
+  {
+      a0 = *pSrcA++;
+      b0 = *pSrcA++;
+      c0 = *pSrcB++;
+      d0 = *pSrcB++;
+
+      real_sum += (q31_t)a0 * c0;
+      imag_sum += (q31_t)a0 * d0;
+      real_sum -= (q31_t)b0 * d0;
+      imag_sum += (q31_t)b0 * c0;
+
+      a0 = *pSrcA++;
+      b0 = *pSrcA++;
+      c0 = *pSrcB++;
+      d0 = *pSrcB++;
+
+      real_sum += (q31_t)a0 * c0;
+      imag_sum += (q31_t)a0 * d0;
+      real_sum -= (q31_t)b0 * d0;
+      imag_sum += (q31_t)b0 * c0;
+
+      a0 = *pSrcA++;
+      b0 = *pSrcA++;
+      c0 = *pSrcB++;
+      d0 = *pSrcB++;
+
+      real_sum += (q31_t)a0 * c0;
+      imag_sum += (q31_t)a0 * d0;
+      real_sum -= (q31_t)b0 * d0;
+      imag_sum += (q31_t)b0 * c0;
+
+      a0 = *pSrcA++;
+      b0 = *pSrcA++;
+      c0 = *pSrcB++;
+      d0 = *pSrcB++;
+
+      real_sum += (q31_t)a0 * c0;
+      imag_sum += (q31_t)a0 * d0;
+      real_sum -= (q31_t)b0 * d0;
+      imag_sum += (q31_t)b0 * c0;
+
+      /* Decrement the loop counter */
+      blkCnt--;
+  }
+
+  /* If the numSamples is not a multiple of 4, compute any remaining output samples here.
+   ** No loop unrolling is used. */
+  blkCnt = numSamples % 0x4U;
+
+  while (blkCnt > 0U)
+  {
+      a0 = *pSrcA++;
+      b0 = *pSrcA++;
+      c0 = *pSrcB++;
+      d0 = *pSrcB++;
+
+      real_sum += (q31_t)a0 * c0;
+      imag_sum += (q31_t)a0 * d0;
+      real_sum -= (q31_t)b0 * d0;
+      imag_sum += (q31_t)b0 * c0;
+
+      /* Decrement the loop counter */
+      blkCnt--;
+  }
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  while (numSamples > 0U)
+  {
+      a0 = *pSrcA++;
+      b0 = *pSrcA++;
+      c0 = *pSrcB++;
+      d0 = *pSrcB++;
+
+      real_sum += a0 * c0;
+      imag_sum += a0 * d0;
+      real_sum -= b0 * d0;
+      imag_sum += b0 * c0;
+
+
+      /* Decrement the loop counter */
+      numSamples--;
+  }
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+  /* Store the real and imaginary results in 8.24 format  */
+  /* Convert real data in 34.30 to 8.24 by 6 right shifts */
+  *realResult = (q31_t) (real_sum >> 6);
+  /* Convert imaginary data in 34.30 to 8.24 by 6 right shifts */
+  *imagResult = (q31_t) (imag_sum >> 6);
+}
+
+/**
+ * @} end of cmplx_dot_prod group
+ */
diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_dot_prod_q31.c b/cdc-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_dot_prod_q31.c
new file mode 100644
index 0000000..dfd3a4b
--- /dev/null
+++ b/cdc-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_dot_prod_q31.c
@@ -0,0 +1,175 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_cmplx_dot_prod_q31.c
+ * Description:  Q31 complex dot product
+ *
+ * $Date:        27. January 2017
+ * $Revision:    V.1.5.1
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ * @ingroup groupCmplxMath
+ */
+
+/**
+ * @addtogroup cmplx_dot_prod
+ * @{
+ */
+
+/**
+ * @brief  Q31 complex dot product
+ * @param  *pSrcA points to the first input vector
+ * @param  *pSrcB points to the second input vector
+ * @param  numSamples number of complex samples in each vector
+ * @param  *realResult real part of the result returned here
+ * @param  *imagResult imaginary part of the result returned here
+ * @return none.
+ *
+ * Scaling and Overflow Behavior:
+ * \par
+ * The function is implemented using an internal 64-bit accumulator.
+ * The intermediate 1.31 by 1.31 multiplications are performed with 64-bit precision and then shifted to 16.48 format.
+ * The internal real and imaginary accumulators are in 16.48 format and provide 15 guard bits.
+ * Additions are nonsaturating and no overflow will occur as long as numSamples is less than 32768.
+ * The return results realResult and imagResult are in 16.48 format.
+ * Input down scaling is not required.
+ */
+
+void arm_cmplx_dot_prod_q31(
+  q31_t * pSrcA,
+  q31_t * pSrcB,
+  uint32_t numSamples,
+  q63_t * realResult,
+  q63_t * imagResult)
+{
+  q63_t real_sum = 0, imag_sum = 0;              /* Temporary result storage */
+  q31_t a0,b0,c0,d0;
+
+#if defined (ARM_MATH_DSP)
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+  uint32_t blkCnt;                               /* loop counter */
+
+
+  /*loop Unrolling */
+  blkCnt = numSamples >> 2U;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while (blkCnt > 0U)
+  {
+      a0 = *pSrcA++;
+      b0 = *pSrcA++;
+      c0 = *pSrcB++;
+      d0 = *pSrcB++;
+
+      real_sum += ((q63_t)a0 * c0) >> 14;
+      imag_sum += ((q63_t)a0 * d0) >> 14;
+      real_sum -= ((q63_t)b0 * d0) >> 14;
+      imag_sum += ((q63_t)b0 * c0) >> 14;
+
+      a0 = *pSrcA++;
+      b0 = *pSrcA++;
+      c0 = *pSrcB++;
+      d0 = *pSrcB++;
+
+      real_sum += ((q63_t)a0 * c0) >> 14;
+      imag_sum += ((q63_t)a0 * d0) >> 14;
+      real_sum -= ((q63_t)b0 * d0) >> 14;
+      imag_sum += ((q63_t)b0 * c0) >> 14;
+
+      a0 = *pSrcA++;
+      b0 = *pSrcA++;
+      c0 = *pSrcB++;
+      d0 = *pSrcB++;
+
+      real_sum += ((q63_t)a0 * c0) >> 14;
+      imag_sum += ((q63_t)a0 * d0) >> 14;
+      real_sum -= ((q63_t)b0 * d0) >> 14;
+      imag_sum += ((q63_t)b0 * c0) >> 14;
+
+      a0 = *pSrcA++;
+      b0 = *pSrcA++;
+      c0 = *pSrcB++;
+      d0 = *pSrcB++;
+
+      real_sum += ((q63_t)a0 * c0) >> 14;
+      imag_sum += ((q63_t)a0 * d0) >> 14;
+      real_sum -= ((q63_t)b0 * d0) >> 14;
+      imag_sum += ((q63_t)b0 * c0) >> 14;
+
+      /* Decrement the loop counter */
+      blkCnt--;
+  }
+
+  /* If the numSamples  is not a multiple of 4, compute any remaining output samples here.
+   ** No loop unrolling is used. */
+  blkCnt = numSamples % 0x4U;
+
+  while (blkCnt > 0U)
+  {
+      a0 = *pSrcA++;
+      b0 = *pSrcA++;
+      c0 = *pSrcB++;
+      d0 = *pSrcB++;
+
+      real_sum += ((q63_t)a0 * c0) >> 14;
+      imag_sum += ((q63_t)a0 * d0) >> 14;
+      real_sum -= ((q63_t)b0 * d0) >> 14;
+      imag_sum += ((q63_t)b0 * c0) >> 14;
+
+      /* Decrement the loop counter */
+      blkCnt--;
+  }
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  while (numSamples > 0U)
+  {
+      a0 = *pSrcA++;
+      b0 = *pSrcA++;
+      c0 = *pSrcB++;
+      d0 = *pSrcB++;
+
+      real_sum += ((q63_t)a0 * c0) >> 14;
+      imag_sum += ((q63_t)a0 * d0) >> 14;
+      real_sum -= ((q63_t)b0 * d0) >> 14;
+      imag_sum += ((q63_t)b0 * c0) >> 14;
+
+      /* Decrement the loop counter */
+      numSamples--;
+  }
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+  /* Store the real and imaginary results in 16.48 format  */
+  *realResult = real_sum;
+  *imagResult = imag_sum;
+}
+
+/**
+ * @} end of cmplx_dot_prod group
+ */
diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_f32.c b/cdc-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_f32.c
new file mode 100644
index 0000000..6c8be8f
--- /dev/null
+++ b/cdc-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_f32.c
@@ -0,0 +1,153 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_cmplx_mag_f32.c
+ * Description:  Floating-point complex magnitude
+ *
+ * $Date:        27. January 2017
+ * $Revision:    V.1.5.1
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ * @ingroup groupCmplxMath
+ */
+
+/**
+ * @defgroup cmplx_mag Complex Magnitude
+ *
+ * Computes the magnitude of the elements of a complex data vector.
+ *
+ * The pSrc points to the source data and
+ * pDst points to the where the result should be written.
+ * numSamples specifies the number of complex samples
+ * in the input array and the data is stored in an interleaved fashion
+ * (real, imag, real, imag, ...).
+ * The input array has a total of 2*numSamples values;
+ * the output array has a total of numSamples values.
+ * The underlying algorithm is used:
+ *
+ * 
+ * for(n=0; n
+ *
+ * There are separate functions for floating-point, Q15, and Q31 data types.
+ */
+
+/**
+ * @addtogroup cmplx_mag
+ * @{
+ */
+/**
+ * @brief Floating-point complex magnitude.
+ * @param[in]       *pSrc points to complex input buffer
+ * @param[out]      *pDst points to real output buffer
+ * @param[in]       numSamples number of complex samples in the input vector
+ * @return none.
+ *
+ */
+
+
+void arm_cmplx_mag_f32(
+  float32_t * pSrc,
+  float32_t * pDst,
+  uint32_t numSamples)
+{
+  float32_t realIn, imagIn;                      /* Temporary variables to hold input values */
+
+#if defined (ARM_MATH_DSP)
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+  uint32_t blkCnt;                               /* loop counter */
+
+  /*loop Unrolling */
+  blkCnt = numSamples >> 2U;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while (blkCnt > 0U)
+  {
+
+    /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */
+    realIn = *pSrc++;
+    imagIn = *pSrc++;
+    /* store the result in the destination buffer. */
+    arm_sqrt_f32((realIn * realIn) + (imagIn * imagIn), pDst++);
+
+    realIn = *pSrc++;
+    imagIn = *pSrc++;
+    arm_sqrt_f32((realIn * realIn) + (imagIn * imagIn), pDst++);
+
+    realIn = *pSrc++;
+    imagIn = *pSrc++;
+    arm_sqrt_f32((realIn * realIn) + (imagIn * imagIn), pDst++);
+
+    realIn = *pSrc++;
+    imagIn = *pSrc++;
+    arm_sqrt_f32((realIn * realIn) + (imagIn * imagIn), pDst++);
+
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the numSamples is not a multiple of 4, compute any remaining output samples here.
+   ** No loop unrolling is used. */
+  blkCnt = numSamples % 0x4U;
+
+  while (blkCnt > 0U)
+  {
+    /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */
+    realIn = *pSrc++;
+    imagIn = *pSrc++;
+    /* store the result in the destination buffer. */
+    arm_sqrt_f32((realIn * realIn) + (imagIn * imagIn), pDst++);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  while (numSamples > 0U)
+  {
+    /* out = sqrt((real * real) + (imag * imag)) */
+    realIn = *pSrc++;
+    imagIn = *pSrc++;
+    /* store the result in the destination buffer. */
+    arm_sqrt_f32((realIn * realIn) + (imagIn * imagIn), pDst++);
+
+    /* Decrement the loop counter */
+    numSamples--;
+  }
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+}
+
+/**
+ * @} end of cmplx_mag group
+ */
diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_q15.c b/cdc-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_q15.c
new file mode 100644
index 0000000..445c996
--- /dev/null
+++ b/cdc-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_q15.c
@@ -0,0 +1,141 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_cmplx_mag_q15.c
+ * Description:  Q15 complex magnitude
+ *
+ * $Date:        27. January 2017
+ * $Revision:    V.1.5.1
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ * @ingroup groupCmplxMath
+ */
+
+/**
+ * @addtogroup cmplx_mag
+ * @{
+ */
+
+
+/**
+ * @brief  Q15 complex magnitude
+ * @param  *pSrc points to the complex input vector
+ * @param  *pDst points to the real output vector
+ * @param  numSamples number of complex samples in the input vector
+ * @return none.
+ *
+ * Scaling and Overflow Behavior:
+ * \par
+ * The function implements 1.15 by 1.15 multiplications and finally output is converted into 2.14 format.
+ */
+
+void arm_cmplx_mag_q15(
+  q15_t * pSrc,
+  q15_t * pDst,
+  uint32_t numSamples)
+{
+  q31_t acc0, acc1;                              /* Accumulators */
+
+#if defined (ARM_MATH_DSP)
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+  uint32_t blkCnt;                               /* loop counter */
+  q31_t in1, in2, in3, in4;
+  q31_t acc2, acc3;
+
+
+  /*loop Unrolling */
+  blkCnt = numSamples >> 2U;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while (blkCnt > 0U)
+  {
+
+    /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */
+    in1 = *__SIMD32(pSrc)++;
+    in2 = *__SIMD32(pSrc)++;
+    in3 = *__SIMD32(pSrc)++;
+    in4 = *__SIMD32(pSrc)++;
+
+    acc0 = __SMUAD(in1, in1);
+    acc1 = __SMUAD(in2, in2);
+    acc2 = __SMUAD(in3, in3);
+    acc3 = __SMUAD(in4, in4);
+
+    /* store the result in 2.14 format in the destination buffer. */
+    arm_sqrt_q15((q15_t) ((acc0) >> 17), pDst++);
+    arm_sqrt_q15((q15_t) ((acc1) >> 17), pDst++);
+    arm_sqrt_q15((q15_t) ((acc2) >> 17), pDst++);
+    arm_sqrt_q15((q15_t) ((acc3) >> 17), pDst++);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the numSamples is not a multiple of 4, compute any remaining output samples here.
+   ** No loop unrolling is used. */
+  blkCnt = numSamples % 0x4U;
+
+  while (blkCnt > 0U)
+  {
+    /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */
+    in1 = *__SIMD32(pSrc)++;
+    acc0 = __SMUAD(in1, in1);
+
+    /* store the result in 2.14 format in the destination buffer. */
+    arm_sqrt_q15((q15_t) (acc0 >> 17), pDst++);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+  q15_t real, imag;                              /* Temporary variables to hold input values */
+
+  while (numSamples > 0U)
+  {
+    /* out = sqrt(real * real + imag * imag) */
+    real = *pSrc++;
+    imag = *pSrc++;
+
+    acc0 = (real * real);
+    acc1 = (imag * imag);
+
+    /* store the result in 2.14 format in the destination buffer. */
+    arm_sqrt_q15((q15_t) (((q63_t) acc0 + acc1) >> 17), pDst++);
+
+    /* Decrement the loop counter */
+    numSamples--;
+  }
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+}
+
+/**
+ * @} end of cmplx_mag group
+ */
diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_q31.c b/cdc-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_q31.c
new file mode 100644
index 0000000..c1fdfdf
--- /dev/null
+++ b/cdc-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_q31.c
@@ -0,0 +1,173 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_cmplx_mag_q31.c
+ * Description:  Q31 complex magnitude
+ *
+ * $Date:        27. January 2017
+ * $Revision:    V.1.5.1
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ * @ingroup groupCmplxMath
+ */
+
+/**
+ * @addtogroup cmplx_mag
+ * @{
+ */
+
+/**
+ * @brief  Q31 complex magnitude
+ * @param  *pSrc points to the complex input vector
+ * @param  *pDst points to the real output vector
+ * @param  numSamples number of complex samples in the input vector
+ * @return none.
+ *
+ * Scaling and Overflow Behavior:
+ * \par
+ * The function implements 1.31 by 1.31 multiplications and finally output is converted into 2.30 format.
+ * Input down scaling is not required.
+ */
+
+void arm_cmplx_mag_q31(
+  q31_t * pSrc,
+  q31_t * pDst,
+  uint32_t numSamples)
+{
+  q31_t real, imag;                              /* Temporary variables to hold input values */
+  q31_t acc0, acc1;                              /* Accumulators */
+  uint32_t blkCnt;                               /* loop counter */
+
+#if defined (ARM_MATH_DSP)
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+  q31_t real1, real2, imag1, imag2;              /* Temporary variables to hold input values */
+  q31_t out1, out2, out3, out4;                  /* Accumulators */
+  q63_t mul1, mul2, mul3, mul4;                  /* Temporary variables */
+
+
+  /*loop Unrolling */
+  blkCnt = numSamples >> 2U;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while (blkCnt > 0U)
+  {
+    /* read complex input from source buffer */
+    real1 = pSrc[0];
+    imag1 = pSrc[1];
+    real2 = pSrc[2];
+    imag2 = pSrc[3];
+
+    /* calculate power of input values */
+    mul1 = (q63_t) real1 *real1;
+    mul2 = (q63_t) imag1 *imag1;
+    mul3 = (q63_t) real2 *real2;
+    mul4 = (q63_t) imag2 *imag2;
+
+    /* get the result to 3.29 format */
+    out1 = (q31_t) (mul1 >> 33);
+    out2 = (q31_t) (mul2 >> 33);
+    out3 = (q31_t) (mul3 >> 33);
+    out4 = (q31_t) (mul4 >> 33);
+
+    /* add real and imaginary accumulators */
+    out1 = out1 + out2;
+    out3 = out3 + out4;
+
+    /* read complex input from source buffer */
+    real1 = pSrc[4];
+    imag1 = pSrc[5];
+    real2 = pSrc[6];
+    imag2 = pSrc[7];
+
+    /* calculate square root */
+    arm_sqrt_q31(out1, &pDst[0]);
+
+    /* calculate power of input values */
+    mul1 = (q63_t) real1 *real1;
+
+    /* calculate square root */
+    arm_sqrt_q31(out3, &pDst[1]);
+
+    /* calculate power of input values */
+    mul2 = (q63_t) imag1 *imag1;
+    mul3 = (q63_t) real2 *real2;
+    mul4 = (q63_t) imag2 *imag2;
+
+    /* get the result to 3.29 format */
+    out1 = (q31_t) (mul1 >> 33);
+    out2 = (q31_t) (mul2 >> 33);
+    out3 = (q31_t) (mul3 >> 33);
+    out4 = (q31_t) (mul4 >> 33);
+
+    /* add real and imaginary accumulators */
+    out1 = out1 + out2;
+    out3 = out3 + out4;
+
+    /* calculate square root */
+    arm_sqrt_q31(out1, &pDst[2]);
+
+    /* increment destination by 8 to process next samples */
+    pSrc += 8U;
+
+    /* calculate square root */
+    arm_sqrt_q31(out3, &pDst[3]);
+
+    /* increment destination by 4 to process next samples */
+    pDst += 4U;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the numSamples is not a multiple of 4, compute any remaining output samples here.
+   ** No loop unrolling is used. */
+  blkCnt = numSamples % 0x4U;
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+  blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+  while (blkCnt > 0U)
+  {
+    /* C[0] = sqrt(A[0] * A[0] + A[1] * A[1]) */
+    real = *pSrc++;
+    imag = *pSrc++;
+    acc0 = (q31_t) (((q63_t) real * real) >> 33);
+    acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
+    /* store the result in 2.30 format in the destination buffer. */
+    arm_sqrt_q31(acc0 + acc1, pDst++);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+}
+
+/**
+ * @} end of cmplx_mag group
+ */
diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_squared_f32.c b/cdc-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_squared_f32.c
new file mode 100644
index 0000000..a7a34a3
--- /dev/null
+++ b/cdc-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_squared_f32.c
@@ -0,0 +1,204 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_cmplx_mag_squared_f32.c
+ * Description:  Floating-point complex magnitude squared
+ *
+ * $Date:        27. January 2017
+ * $Revision:    V.1.5.1
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ * @ingroup groupCmplxMath
+ */
+
+/**
+ * @defgroup cmplx_mag_squared Complex Magnitude Squared
+ *
+ * Computes the magnitude squared of the elements of a complex data vector.
+ *
+ * The pSrc points to the source data and
+ * pDst points to the where the result should be written.
+ * numSamples specifies the number of complex samples
+ * in the input array and the data is stored in an interleaved fashion
+ * (real, imag, real, imag, ...).
+ * The input array has a total of 2*numSamples values;
+ * the output array has a total of numSamples values.
+ *
+ * The underlying algorithm is used:
+ *
+ * 
+ * for(n=0; n
+ *
+ * There are separate functions for floating-point, Q15, and Q31 data types.
+ */
+
+/**
+ * @addtogroup cmplx_mag_squared
+ * @{
+ */
+
+
+/**
+ * @brief  Floating-point complex magnitude squared
+ * @param[in]  *pSrc points to the complex input vector
+ * @param[out]  *pDst points to the real output vector
+ * @param[in]  numSamples number of complex samples in the input vector
+ * @return none.
+ */
+
+void arm_cmplx_mag_squared_f32(
+  float32_t * pSrc,
+  float32_t * pDst,
+  uint32_t numSamples)
+{
+  float32_t real, imag;                          /* Temporary variables to store real and imaginary values */
+  uint32_t blkCnt;                               /* loop counter */
+
+#if defined (ARM_MATH_DSP)
+  float32_t real1, real2, real3, real4;          /* Temporary variables to hold real values */
+  float32_t imag1, imag2, imag3, imag4;          /* Temporary variables to hold imaginary values */
+  float32_t mul1, mul2, mul3, mul4;              /* Temporary variables */
+  float32_t mul5, mul6, mul7, mul8;              /* Temporary variables */
+  float32_t out1, out2, out3, out4;              /* Temporary variables to hold output values */
+
+  /*loop Unrolling */
+  blkCnt = numSamples >> 2U;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while (blkCnt > 0U)
+  {
+    /* C[0] = (A[0] * A[0] + A[1] * A[1]) */
+    /* read real input sample from source buffer */
+    real1 = pSrc[0];
+    /* read imaginary input sample from source buffer */
+    imag1 = pSrc[1];
+
+    /* calculate power of real value */
+    mul1 = real1 * real1;
+
+    /* read real input sample from source buffer */
+    real2 = pSrc[2];
+
+    /* calculate power of imaginary value */
+    mul2 = imag1 * imag1;
+
+    /* read imaginary input sample from source buffer */
+    imag2 = pSrc[3];
+
+    /* calculate power of real value */
+    mul3 = real2 * real2;
+
+    /* read real input sample from source buffer */
+    real3 = pSrc[4];
+
+    /* calculate power of imaginary value */
+    mul4 = imag2 * imag2;
+
+    /* read imaginary input sample from source buffer */
+    imag3 = pSrc[5];
+
+    /* calculate power of real value */
+    mul5 = real3 * real3;
+    /* calculate power of imaginary value */
+    mul6 = imag3 * imag3;
+
+    /* read real input sample from source buffer */
+    real4 = pSrc[6];
+
+    /* accumulate real and imaginary powers */
+    out1 = mul1 + mul2;
+
+    /* read imaginary input sample from source buffer */
+    imag4 = pSrc[7];
+
+    /* accumulate real and imaginary powers */
+    out2 = mul3 + mul4;
+
+    /* calculate power of real value */
+    mul7 = real4 * real4;
+    /* calculate power of imaginary value */
+    mul8 = imag4 * imag4;
+
+    /* store output to destination */
+    pDst[0] = out1;
+
+    /* accumulate real and imaginary powers */
+    out3 = mul5 + mul6;
+
+    /* store output to destination */
+    pDst[1] = out2;
+
+    /* accumulate real and imaginary powers */
+    out4 = mul7 + mul8;
+
+    /* store output to destination */
+    pDst[2] = out3;
+
+    /* increment destination pointer by 8 to process next samples */
+    pSrc += 8U;
+
+    /* store output to destination */
+    pDst[3] = out4;
+
+    /* increment destination pointer by 4 to process next samples */
+    pDst += 4U;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the numSamples is not a multiple of 4, compute any remaining output samples here.
+   ** No loop unrolling is used. */
+  blkCnt = numSamples % 0x4U;
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+  while (blkCnt > 0U)
+  {
+    /* C[0] = (A[0] * A[0] + A[1] * A[1]) */
+    real = *pSrc++;
+    imag = *pSrc++;
+
+    /* out = (real * real) + (imag * imag) */
+    /* store the result in the destination buffer. */
+    *pDst++ = (real * real) + (imag * imag);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+}
+
+/**
+ * @} end of cmplx_mag_squared group
+ */
diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_squared_q15.c b/cdc-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_squared_q15.c
new file mode 100644
index 0000000..7876cdc
--- /dev/null
+++ b/cdc-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_squared_q15.c
@@ -0,0 +1,136 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_cmplx_mag_squared_q15.c
+ * Description:  Q15 complex magnitude squared
+ *
+ * $Date:        27. January 2017
+ * $Revision:    V.1.5.1
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ * @ingroup groupCmplxMath
+ */
+
+/**
+ * @addtogroup cmplx_mag_squared
+ * @{
+ */
+
+/**
+ * @brief  Q15 complex magnitude squared
+ * @param  *pSrc points to the complex input vector
+ * @param  *pDst points to the real output vector
+ * @param  numSamples number of complex samples in the input vector
+ * @return none.
+ *
+ * Scaling and Overflow Behavior:
+ * \par
+ * The function implements 1.15 by 1.15 multiplications and finally output is converted into 3.13 format.
+ */
+
+void arm_cmplx_mag_squared_q15(
+  q15_t * pSrc,
+  q15_t * pDst,
+  uint32_t numSamples)
+{
+  q31_t acc0, acc1;                              /* Accumulators */
+
+#if defined (ARM_MATH_DSP)
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+  uint32_t blkCnt;                               /* loop counter */
+  q31_t in1, in2, in3, in4;
+  q31_t acc2, acc3;
+
+  /*loop Unrolling */
+  blkCnt = numSamples >> 2U;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while (blkCnt > 0U)
+  {
+    /* C[0] = (A[0] * A[0] + A[1] * A[1]) */
+    in1 = *__SIMD32(pSrc)++;
+    in2 = *__SIMD32(pSrc)++;
+    in3 = *__SIMD32(pSrc)++;
+    in4 = *__SIMD32(pSrc)++;
+
+    acc0 = __SMUAD(in1, in1);
+    acc1 = __SMUAD(in2, in2);
+    acc2 = __SMUAD(in3, in3);
+    acc3 = __SMUAD(in4, in4);
+
+    /* store the result in 3.13 format in the destination buffer. */
+    *pDst++ = (q15_t) (acc0 >> 17);
+    *pDst++ = (q15_t) (acc1 >> 17);
+    *pDst++ = (q15_t) (acc2 >> 17);
+    *pDst++ = (q15_t) (acc3 >> 17);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the numSamples is not a multiple of 4, compute any remaining output samples here.
+   ** No loop unrolling is used. */
+  blkCnt = numSamples % 0x4U;
+
+  while (blkCnt > 0U)
+  {
+    /* C[0] = (A[0] * A[0] + A[1] * A[1]) */
+    in1 = *__SIMD32(pSrc)++;
+    acc0 = __SMUAD(in1, in1);
+
+    /* store the result in 3.13 format in the destination buffer. */
+    *pDst++ = (q15_t) (acc0 >> 17);
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+  q15_t real, imag;                              /* Temporary variables to store real and imaginary values */
+
+  while (numSamples > 0U)
+  {
+    /* out = ((real * real) + (imag * imag)) */
+    real = *pSrc++;
+    imag = *pSrc++;
+    acc0 = (real * real);
+    acc1 = (imag * imag);
+    /* store the result in 3.13 format in the destination buffer. */
+    *pDst++ = (q15_t) (((q63_t) acc0 + acc1) >> 17);
+
+    /* Decrement the loop counter */
+    numSamples--;
+  }
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+}
+
+/**
+ * @} end of cmplx_mag_squared group
+ */
diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_squared_q31.c b/cdc-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_squared_q31.c
new file mode 100644
index 0000000..b9c0c0c
--- /dev/null
+++ b/cdc-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_squared_q31.c
@@ -0,0 +1,149 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_cmplx_mag_squared_q31.c
+ * Description:  Q31 complex magnitude squared
+ *
+ * $Date:        27. January 2017
+ * $Revision:    V.1.5.1
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ * @ingroup groupCmplxMath
+ */
+
+/**
+ * @addtogroup cmplx_mag_squared
+ * @{
+ */
+
+
+/**
+ * @brief  Q31 complex magnitude squared
+ * @param  *pSrc points to the complex input vector
+ * @param  *pDst points to the real output vector
+ * @param  numSamples number of complex samples in the input vector
+ * @return none.
+ *
+ * Scaling and Overflow Behavior:
+ * \par
+ * The function implements 1.31 by 1.31 multiplications and finally output is converted into 3.29 format.
+ * Input down scaling is not required.
+ */
+
+void arm_cmplx_mag_squared_q31(
+  q31_t * pSrc,
+  q31_t * pDst,
+  uint32_t numSamples)
+{
+  q31_t real, imag;                              /* Temporary variables to store real and imaginary values */
+  q31_t acc0, acc1;                              /* Accumulators */
+
+#if defined (ARM_MATH_DSP)
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+  uint32_t blkCnt;                               /* loop counter */
+
+  /* loop Unrolling */
+  blkCnt = numSamples >> 2U;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while (blkCnt > 0U)
+  {
+    /* C[0] = (A[0] * A[0] + A[1] * A[1]) */
+    real = *pSrc++;
+    imag = *pSrc++;
+    acc0 = (q31_t) (((q63_t) real * real) >> 33);
+    acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
+    /* store the result in 3.29 format in the destination buffer. */
+    *pDst++ = acc0 + acc1;
+
+    real = *pSrc++;
+    imag = *pSrc++;
+    acc0 = (q31_t) (((q63_t) real * real) >> 33);
+    acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
+    /* store the result in 3.29 format in the destination buffer. */
+    *pDst++ = acc0 + acc1;
+
+    real = *pSrc++;
+    imag = *pSrc++;
+    acc0 = (q31_t) (((q63_t) real * real) >> 33);
+    acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
+    /* store the result in 3.29 format in the destination buffer. */
+    *pDst++ = acc0 + acc1;
+
+    real = *pSrc++;
+    imag = *pSrc++;
+    acc0 = (q31_t) (((q63_t) real * real) >> 33);
+    acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
+    /* store the result in 3.29 format in the destination buffer. */
+    *pDst++ = acc0 + acc1;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+  /* If the numSamples is not a multiple of 4, compute any remaining output samples here.
+   ** No loop unrolling is used. */
+  blkCnt = numSamples % 0x4U;
+
+  while (blkCnt > 0U)
+  {
+    /* C[0] = (A[0] * A[0] + A[1] * A[1]) */
+    real = *pSrc++;
+    imag = *pSrc++;
+    acc0 = (q31_t) (((q63_t) real * real) >> 33);
+    acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
+    /* store the result in 3.29 format in the destination buffer. */
+    *pDst++ = acc0 + acc1;
+
+    /* Decrement the loop counter */
+    blkCnt--;
+  }
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  while (numSamples > 0U)
+  {
+    /* out = ((real * real) + (imag * imag)) */
+    real = *pSrc++;
+    imag = *pSrc++;
+    acc0 = (q31_t) (((q63_t) real * real) >> 33);
+    acc1 = (q31_t) (((q63_t) imag * imag) >> 33);
+    /* store the result in 3.29 format in the destination buffer. */
+    *pDst++ = acc0 + acc1;
+
+    /* Decrement the loop counter */
+    numSamples--;
+  }
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+}
+
+/**
+ * @} end of cmplx_mag_squared group
+ */
diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_f32.c b/cdc-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_f32.c
new file mode 100644
index 0000000..90af35a
--- /dev/null
+++ b/cdc-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_f32.c
@@ -0,0 +1,196 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_cmplx_mult_cmplx_f32.c
+ * Description:  Floating-point complex-by-complex multiplication
+ *
+ * $Date:        27. January 2017
+ * $Revision:    V.1.5.1
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ * @ingroup groupCmplxMath
+ */
+
+/**
+ * @defgroup CmplxByCmplxMult Complex-by-Complex Multiplication
+ *
+ * Multiplies a complex vector by another complex vector and generates a complex result.
+ * The data in the complex arrays is stored in an interleaved fashion
+ * (real, imag, real, imag, ...).
+ * The parameter numSamples represents the number of complex
+ * samples processed.  The complex arrays have a total of 2*numSamples
+ * real values.
+ *
+ * The underlying algorithm is used:
+ *
+ * 
+ * for(n=0; n
+ *
+ * There are separate functions for floating-point, Q15, and Q31 data types.
+ */
+
+/**
+ * @addtogroup CmplxByCmplxMult
+ * @{
+ */
+
+
+/**
+ * @brief  Floating-point complex-by-complex multiplication
+ * @param[in]  *pSrcA points to the first input vector
+ * @param[in]  *pSrcB points to the second input vector
+ * @param[out]  *pDst  points to the output vector
+ * @param[in]  numSamples number of complex samples in each vector
+ * @return none.
+ */
+
+void arm_cmplx_mult_cmplx_f32(
+  float32_t * pSrcA,
+  float32_t * pSrcB,
+  float32_t * pDst,
+  uint32_t numSamples)
+{
+  float32_t a1, b1, c1, d1;                      /* Temporary variables to store real and imaginary values */
+  uint32_t blkCnt;                               /* loop counters */
+
+#if defined (ARM_MATH_DSP)
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+  float32_t a2, b2, c2, d2;                      /* Temporary variables to store real and imaginary values */
+  float32_t acc1, acc2, acc3, acc4;
+
+
+  /* loop Unrolling */
+  blkCnt = numSamples >> 2U;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while (blkCnt > 0U)
+  {
+    /* C[2 * i] = A[2 * i] * B[2 * i] - A[2 * i + 1] * B[2 * i + 1].  */
+    /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i].  */
+    a1 = *pSrcA;                /* A[2 * i] */
+    c1 = *pSrcB;                /* B[2 * i] */
+
+    b1 = *(pSrcA + 1);          /* A[2 * i + 1] */
+    acc1 = a1 * c1;             /* acc1 = A[2 * i] * B[2 * i] */
+
+    a2 = *(pSrcA + 2);          /* A[2 * i + 2] */
+    acc2 = (b1 * c1);           /* acc2 = A[2 * i + 1] * B[2 * i] */
+
+    d1 = *(pSrcB + 1);          /* B[2 * i + 1] */
+    c2 = *(pSrcB + 2);          /* B[2 * i + 2] */
+    acc1 -= b1 * d1;            /* acc1 =      A[2 * i] * B[2 * i] - A[2 * i + 1] * B[2 * i + 1] */
+
+    d2 = *(pSrcB + 3);          /* B[2 * i + 3] */
+    acc3 = a2 * c2;             /* acc3 =       A[2 * i + 2] * B[2 * i + 2] */
+
+    b2 = *(pSrcA + 3);          /* A[2 * i + 3] */
+    acc2 += (a1 * d1);          /* acc2 =      A[2 * i + 1] * B[2 * i] + A[2 * i] * B[2 * i + 1] */
+
+    a1 = *(pSrcA + 4);          /* A[2 * i + 4] */
+    acc4 = (a2 * d2);           /* acc4 =   A[2 * i + 2] * B[2 * i + 3] */
+
+    c1 = *(pSrcB + 4);          /* B[2 * i + 4] */
+    acc3 -= (b2 * d2);          /* acc3 =       A[2 * i + 2] * B[2 * i + 2] - A[2 * i + 3] * B[2 * i + 3] */
+    *pDst = acc1;               /* C[2 * i] = A[2 * i] * B[2 * i] - A[2 * i + 1] * B[2 * i + 1] */
+
+    b1 = *(pSrcA + 5);          /* A[2 * i + 5] */
+    acc4 += b2 * c2;            /* acc4 =   A[2 * i + 2] * B[2 * i + 3] + A[2 * i + 3] * B[2 * i + 2] */
+
+    *(pDst + 1) = acc2;         /* C[2 * i + 1] = A[2 * i + 1] * B[2 * i] + A[2 * i] * B[2 * i + 1]  */
+    acc1 = (a1 * c1);
+
+    d1 = *(pSrcB + 5);
+    acc2 = (b1 * c1);
+
+    *(pDst + 2) = acc3;
+    *(pDst + 3) = acc4;
+
+    a2 = *(pSrcA + 6);
+    acc1 -= (b1 * d1);
+
+    c2 = *(pSrcB + 6);
+    acc2 += (a1 * d1);
+
+    b2 = *(pSrcA + 7);
+    acc3 = (a2 * c2);
+
+    d2 = *(pSrcB + 7);
+    acc4 = (b2 * c2);
+
+    *(pDst + 4) = acc1;
+    pSrcA += 8U;
+
+    acc3 -= (b2 * d2);
+    acc4 += (a2 * d2);
+
+    *(pDst + 5) = acc2;
+    pSrcB += 8U;
+
+    *(pDst + 6) = acc3;
+    *(pDst + 7) = acc4;
+
+    pDst += 8U;
+
+    /* Decrement the numSamples loop counter */
+    blkCnt--;
+  }
+
+  /* If the numSamples is not a multiple of 4, compute any remaining output samples here.
+   ** No loop unrolling is used. */
+  blkCnt = numSamples % 0x4U;
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+  blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+  while (blkCnt > 0U)
+  {
+    /* C[2 * i] = A[2 * i] * B[2 * i] - A[2 * i + 1] * B[2 * i + 1].  */
+    /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i].  */
+    a1 = *pSrcA++;
+    b1 = *pSrcA++;
+    c1 = *pSrcB++;
+    d1 = *pSrcB++;
+
+    /* store the result in the destination buffer. */
+    *pDst++ = (a1 * c1) - (b1 * d1);
+    *pDst++ = (a1 * d1) + (b1 * c1);
+
+    /* Decrement the numSamples loop counter */
+    blkCnt--;
+  }
+}
+
+/**
+ * @} end of CmplxByCmplxMult group
+ */
diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_q15.c b/cdc-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_q15.c
new file mode 100644
index 0000000..1dce470
--- /dev/null
+++ b/cdc-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_q15.c
@@ -0,0 +1,181 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_cmplx_mult_cmplx_q15.c
+ * Description:  Q15 complex-by-complex multiplication
+ *
+ * $Date:        27. January 2017
+ * $Revision:    V.1.5.1
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ * @ingroup groupCmplxMath
+ */
+
+/**
+ * @addtogroup CmplxByCmplxMult
+ * @{
+ */
+
+/**
+ * @brief  Q15 complex-by-complex multiplication
+ * @param[in]  *pSrcA points to the first input vector
+ * @param[in]  *pSrcB points to the second input vector
+ * @param[out]  *pDst  points to the output vector
+ * @param[in]  numSamples number of complex samples in each vector
+ * @return none.
+ *
+ * Scaling and Overflow Behavior:
+ * \par
+ * The function implements 1.15 by 1.15 multiplications and finally output is converted into 3.13 format.
+ */
+
+void arm_cmplx_mult_cmplx_q15(
+  q15_t * pSrcA,
+  q15_t * pSrcB,
+  q15_t * pDst,
+  uint32_t numSamples)
+{
+  q15_t a, b, c, d;                              /* Temporary variables to store real and imaginary values */
+
+#if defined (ARM_MATH_DSP)
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+  uint32_t blkCnt;                               /* loop counters */
+
+  /* loop Unrolling */
+  blkCnt = numSamples >> 2U;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while (blkCnt > 0U)
+  {
+    /* C[2 * i] = A[2 * i] * B[2 * i] - A[2 * i + 1] * B[2 * i + 1].  */
+    /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i].  */
+    a = *pSrcA++;
+    b = *pSrcA++;
+    c = *pSrcB++;
+    d = *pSrcB++;
+
+    /* store the result in 3.13 format in the destination buffer. */
+    *pDst++ =
+      (q15_t) (q31_t) (((q31_t) a * c) >> 17) - (((q31_t) b * d) >> 17);
+    /* store the result in 3.13 format in the destination buffer. */
+    *pDst++ =
+      (q15_t) (q31_t) (((q31_t) a * d) >> 17) + (((q31_t) b * c) >> 17);
+
+    a = *pSrcA++;
+    b = *pSrcA++;
+    c = *pSrcB++;
+    d = *pSrcB++;
+
+    /* store the result in 3.13 format in the destination buffer. */
+    *pDst++ =
+      (q15_t) (q31_t) (((q31_t) a * c) >> 17) - (((q31_t) b * d) >> 17);
+    /* store the result in 3.13 format in the destination buffer. */
+    *pDst++ =
+      (q15_t) (q31_t) (((q31_t) a * d) >> 17) + (((q31_t) b * c) >> 17);
+
+    a = *pSrcA++;
+    b = *pSrcA++;
+    c = *pSrcB++;
+    d = *pSrcB++;
+
+    /* store the result in 3.13 format in the destination buffer. */
+    *pDst++ =
+      (q15_t) (q31_t) (((q31_t) a * c) >> 17) - (((q31_t) b * d) >> 17);
+    /* store the result in 3.13 format in the destination buffer. */
+    *pDst++ =
+      (q15_t) (q31_t) (((q31_t) a * d) >> 17) + (((q31_t) b * c) >> 17);
+
+    a = *pSrcA++;
+    b = *pSrcA++;
+    c = *pSrcB++;
+    d = *pSrcB++;
+
+    /* store the result in 3.13 format in the destination buffer. */
+    *pDst++ =
+      (q15_t) (q31_t) (((q31_t) a * c) >> 17) - (((q31_t) b * d) >> 17);
+    /* store the result in 3.13 format in the destination buffer. */
+    *pDst++ =
+      (q15_t) (q31_t) (((q31_t) a * d) >> 17) + (((q31_t) b * c) >> 17);
+
+    /* Decrement the blockSize loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.
+   ** No loop unrolling is used. */
+  blkCnt = numSamples % 0x4U;
+
+  while (blkCnt > 0U)
+  {
+    /* C[2 * i] = A[2 * i] * B[2 * i] - A[2 * i + 1] * B[2 * i + 1].  */
+    /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i].  */
+    a = *pSrcA++;
+    b = *pSrcA++;
+    c = *pSrcB++;
+    d = *pSrcB++;
+
+    /* store the result in 3.13 format in the destination buffer. */
+    *pDst++ =
+      (q15_t) (q31_t) (((q31_t) a * c) >> 17) - (((q31_t) b * d) >> 17);
+    /* store the result in 3.13 format in the destination buffer. */
+    *pDst++ =
+      (q15_t) (q31_t) (((q31_t) a * d) >> 17) + (((q31_t) b * c) >> 17);
+
+    /* Decrement the blockSize loop counter */
+    blkCnt--;
+  }
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  while (numSamples > 0U)
+  {
+    /* C[2 * i] = A[2 * i] * B[2 * i] - A[2 * i + 1] * B[2 * i + 1].  */
+    /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i].  */
+    a = *pSrcA++;
+    b = *pSrcA++;
+    c = *pSrcB++;
+    d = *pSrcB++;
+
+    /* store the result in 3.13 format in the destination buffer. */
+    *pDst++ =
+      (q15_t) (q31_t) (((q31_t) a * c) >> 17) - (((q31_t) b * d) >> 17);
+    /* store the result in 3.13 format in the destination buffer. */
+    *pDst++ =
+      (q15_t) (q31_t) (((q31_t) a * d) >> 17) + (((q31_t) b * c) >> 17);
+
+    /* Decrement the blockSize loop counter */
+    numSamples--;
+  }
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+}
+
+/**
+ * @} end of CmplxByCmplxMult group
+ */
diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_q31.c b/cdc-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_q31.c
new file mode 100644
index 0000000..2eed4e8
--- /dev/null
+++ b/cdc-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_q31.c
@@ -0,0 +1,314 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_cmplx_mult_cmplx_q31.c
+ * Description:  Q31 complex-by-complex multiplication
+ *
+ * $Date:        27. January 2017
+ * $Revision:    V.1.5.1
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ * @ingroup groupCmplxMath
+ */
+
+/**
+ * @addtogroup CmplxByCmplxMult
+ * @{
+ */
+
+
+/**
+ * @brief  Q31 complex-by-complex multiplication
+ * @param[in]  *pSrcA points to the first input vector
+ * @param[in]  *pSrcB points to the second input vector
+ * @param[out]  *pDst  points to the output vector
+ * @param[in]  numSamples number of complex samples in each vector
+ * @return none.
+ *
+ * Scaling and Overflow Behavior:
+ * \par
+ * The function implements 1.31 by 1.31 multiplications and finally output is converted into 3.29 format.
+ * Input down scaling is not required.
+ */
+
+void arm_cmplx_mult_cmplx_q31(
+  q31_t * pSrcA,
+  q31_t * pSrcB,
+  q31_t * pDst,
+  uint32_t numSamples)
+{
+  q31_t a, b, c, d;                              /* Temporary variables to store real and imaginary values */
+  uint32_t blkCnt;                               /* loop counters */
+  q31_t mul1, mul2, mul3, mul4;
+  q31_t out1, out2;
+
+#if defined (ARM_MATH_DSP)
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  /* loop Unrolling */
+  blkCnt = numSamples >> 2U;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while (blkCnt > 0U)
+  {
+    /* C[2 * i] = A[2 * i] * B[2 * i] - A[2 * i + 1] * B[2 * i + 1].  */
+    /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i].  */
+    a = *pSrcA++;
+    b = *pSrcA++;
+    c = *pSrcB++;
+    d = *pSrcB++;
+
+    mul1 = (q31_t) (((q63_t) a * c) >> 32);
+    mul2 = (q31_t) (((q63_t) b * d) >> 32);
+    mul3 = (q31_t) (((q63_t) a * d) >> 32);
+    mul4 = (q31_t) (((q63_t) b * c) >> 32);
+
+    mul1 = (mul1 >> 1);
+    mul2 = (mul2 >> 1);
+    mul3 = (mul3 >> 1);
+    mul4 = (mul4 >> 1);
+
+    out1 = mul1 - mul2;
+    out2 = mul3 + mul4;
+
+    /* store the real result in 3.29 format in the destination buffer. */
+    *pDst++ = out1;
+    /* store the imag result in 3.29 format in the destination buffer. */
+    *pDst++ = out2;
+
+    a = *pSrcA++;
+    b = *pSrcA++;
+    c = *pSrcB++;
+    d = *pSrcB++;
+
+    mul1 = (q31_t) (((q63_t) a * c) >> 32);
+    mul2 = (q31_t) (((q63_t) b * d) >> 32);
+    mul3 = (q31_t) (((q63_t) a * d) >> 32);
+    mul4 = (q31_t) (((q63_t) b * c) >> 32);
+
+    mul1 = (mul1 >> 1);
+    mul2 = (mul2 >> 1);
+    mul3 = (mul3 >> 1);
+    mul4 = (mul4 >> 1);
+
+    out1 = mul1 - mul2;
+    out2 = mul3 + mul4;
+
+    /* store the real result in 3.29 format in the destination buffer. */
+    *pDst++ = out1;
+    /* store the imag result in 3.29 format in the destination buffer. */
+    *pDst++ = out2;
+
+    a = *pSrcA++;
+    b = *pSrcA++;
+    c = *pSrcB++;
+    d = *pSrcB++;
+
+    mul1 = (q31_t) (((q63_t) a * c) >> 32);
+    mul2 = (q31_t) (((q63_t) b * d) >> 32);
+    mul3 = (q31_t) (((q63_t) a * d) >> 32);
+    mul4 = (q31_t) (((q63_t) b * c) >> 32);
+
+    mul1 = (mul1 >> 1);
+    mul2 = (mul2 >> 1);
+    mul3 = (mul3 >> 1);
+    mul4 = (mul4 >> 1);
+
+    out1 = mul1 - mul2;
+    out2 = mul3 + mul4;
+
+    /* store the real result in 3.29 format in the destination buffer. */
+    *pDst++ = out1;
+    /* store the imag result in 3.29 format in the destination buffer. */
+    *pDst++ = out2;
+
+    a = *pSrcA++;
+    b = *pSrcA++;
+    c = *pSrcB++;
+    d = *pSrcB++;
+
+    mul1 = (q31_t) (((q63_t) a * c) >> 32);
+    mul2 = (q31_t) (((q63_t) b * d) >> 32);
+    mul3 = (q31_t) (((q63_t) a * d) >> 32);
+    mul4 = (q31_t) (((q63_t) b * c) >> 32);
+
+    mul1 = (mul1 >> 1);
+    mul2 = (mul2 >> 1);
+    mul3 = (mul3 >> 1);
+    mul4 = (mul4 >> 1);
+
+    out1 = mul1 - mul2;
+    out2 = mul3 + mul4;
+
+    /* store the real result in 3.29 format in the destination buffer. */
+    *pDst++ = out1;
+    /* store the imag result in 3.29 format in the destination buffer. */
+    *pDst++ = out2;
+
+    /* Decrement the blockSize loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 4, compute any remaining output samples here.
+   ** No loop unrolling is used. */
+  blkCnt = numSamples % 0x4U;
+
+  while (blkCnt > 0U)
+  {
+    /* C[2 * i] = A[2 * i] * B[2 * i] - A[2 * i + 1] * B[2 * i + 1].  */
+    /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i].  */
+    a = *pSrcA++;
+    b = *pSrcA++;
+    c = *pSrcB++;
+    d = *pSrcB++;
+
+    mul1 = (q31_t) (((q63_t) a * c) >> 32);
+    mul2 = (q31_t) (((q63_t) b * d) >> 32);
+    mul3 = (q31_t) (((q63_t) a * d) >> 32);
+    mul4 = (q31_t) (((q63_t) b * c) >> 32);
+
+    mul1 = (mul1 >> 1);
+    mul2 = (mul2 >> 1);
+    mul3 = (mul3 >> 1);
+    mul4 = (mul4 >> 1);
+
+    out1 = mul1 - mul2;
+    out2 = mul3 + mul4;
+
+    /* store the real result in 3.29 format in the destination buffer. */
+    *pDst++ = out1;
+    /* store the imag result in 3.29 format in the destination buffer. */
+    *pDst++ = out2;
+
+    /* Decrement the blockSize loop counter */
+    blkCnt--;
+  }
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  /* loop Unrolling */
+  blkCnt = numSamples >> 1U;
+
+  /* First part of the processing with loop unrolling.  Compute 2 outputs at a time.
+   ** a second loop below computes the remaining 1 sample. */
+  while (blkCnt > 0U)
+  {
+    /* C[2 * i] = A[2 * i] * B[2 * i] - A[2 * i + 1] * B[2 * i + 1].  */
+    /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i].  */
+    a = *pSrcA++;
+    b = *pSrcA++;
+    c = *pSrcB++;
+    d = *pSrcB++;
+
+    mul1 = (q31_t) (((q63_t) a * c) >> 32);
+    mul2 = (q31_t) (((q63_t) b * d) >> 32);
+    mul3 = (q31_t) (((q63_t) a * d) >> 32);
+    mul4 = (q31_t) (((q63_t) b * c) >> 32);
+
+    mul1 = (mul1 >> 1);
+    mul2 = (mul2 >> 1);
+    mul3 = (mul3 >> 1);
+    mul4 = (mul4 >> 1);
+
+    out1 = mul1 - mul2;
+    out2 = mul3 + mul4;
+
+    /* store the real result in 3.29 format in the destination buffer. */
+    *pDst++ = out1;
+    /* store the imag result in 3.29 format in the destination buffer. */
+    *pDst++ = out2;
+
+    a = *pSrcA++;
+    b = *pSrcA++;
+    c = *pSrcB++;
+    d = *pSrcB++;
+
+    mul1 = (q31_t) (((q63_t) a * c) >> 32);
+    mul2 = (q31_t) (((q63_t) b * d) >> 32);
+    mul3 = (q31_t) (((q63_t) a * d) >> 32);
+    mul4 = (q31_t) (((q63_t) b * c) >> 32);
+
+    mul1 = (mul1 >> 1);
+    mul2 = (mul2 >> 1);
+    mul3 = (mul3 >> 1);
+    mul4 = (mul4 >> 1);
+
+    out1 = mul1 - mul2;
+    out2 = mul3 + mul4;
+
+    /* store the real result in 3.29 format in the destination buffer. */
+    *pDst++ = out1;
+    /* store the imag result in 3.29 format in the destination buffer. */
+    *pDst++ = out2;
+
+    /* Decrement the blockSize loop counter */
+    blkCnt--;
+  }
+
+  /* If the blockSize is not a multiple of 2, compute any remaining output samples here.
+   ** No loop unrolling is used. */
+  blkCnt = numSamples % 0x2U;
+
+  while (blkCnt > 0U)
+  {
+    /* C[2 * i] = A[2 * i] * B[2 * i] - A[2 * i + 1] * B[2 * i + 1].  */
+    /* C[2 * i + 1] = A[2 * i] * B[2 * i + 1] + A[2 * i + 1] * B[2 * i].  */
+    a = *pSrcA++;
+    b = *pSrcA++;
+    c = *pSrcB++;
+    d = *pSrcB++;
+
+    mul1 = (q31_t) (((q63_t) a * c) >> 32);
+    mul2 = (q31_t) (((q63_t) b * d) >> 32);
+    mul3 = (q31_t) (((q63_t) a * d) >> 32);
+    mul4 = (q31_t) (((q63_t) b * c) >> 32);
+
+    mul1 = (mul1 >> 1);
+    mul2 = (mul2 >> 1);
+    mul3 = (mul3 >> 1);
+    mul4 = (mul4 >> 1);
+
+    out1 = mul1 - mul2;
+    out2 = mul3 + mul4;
+
+    /* store the real result in 3.29 format in the destination buffer. */
+    *pDst++ = out1;
+    /* store the imag result in 3.29 format in the destination buffer. */
+    *pDst++ = out2;
+
+    /* Decrement the blockSize loop counter */
+    blkCnt--;
+  }
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+}
+
+/**
+ * @} end of CmplxByCmplxMult group
+ */
diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_real_f32.c b/cdc-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_real_f32.c
new file mode 100644
index 0000000..6f45804
--- /dev/null
+++ b/cdc-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_real_f32.c
@@ -0,0 +1,213 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_cmplx_mult_real_f32.c
+ * Description:  Floating-point complex by real multiplication
+ *
+ * $Date:        27. January 2017
+ * $Revision:    V.1.5.1
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ * @ingroup groupCmplxMath
+ */
+
+/**
+ * @defgroup CmplxByRealMult Complex-by-Real Multiplication
+ *
+ * Multiplies a complex vector by a real vector and generates a complex result.
+ * The data in the complex arrays is stored in an interleaved fashion
+ * (real, imag, real, imag, ...).
+ * The parameter numSamples represents the number of complex
+ * samples processed.  The complex arrays have a total of 2*numSamples
+ * real values while the real array has a total of numSamples
+ * real values.
+ *
+ * The underlying algorithm is used:
+ *
+ * 
+ * for(n=0; n
+ *
+ * There are separate functions for floating-point, Q15, and Q31 data types.
+ */
+
+/**
+ * @addtogroup CmplxByRealMult
+ * @{
+ */
+
+
+/**
+ * @brief  Floating-point complex-by-real multiplication
+ * @param[in]  *pSrcCmplx points to the complex input vector
+ * @param[in]  *pSrcReal points to the real input vector
+ * @param[out]  *pCmplxDst points to the complex output vector
+ * @param[in]  numSamples number of samples in each vector
+ * @return none.
+ */
+
+void arm_cmplx_mult_real_f32(
+  float32_t * pSrcCmplx,
+  float32_t * pSrcReal,
+  float32_t * pCmplxDst,
+  uint32_t numSamples)
+{
+  float32_t in;                                  /* Temporary variable to store input value */
+  uint32_t blkCnt;                               /* loop counters */
+
+#if defined (ARM_MATH_DSP)
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+  float32_t inA1, inA2, inA3, inA4;              /* Temporary variables to hold input data */
+  float32_t inA5, inA6, inA7, inA8;              /* Temporary variables to hold input data */
+  float32_t inB1, inB2, inB3, inB4;              /* Temporary variables to hold input data */
+  float32_t out1, out2, out3, out4;              /* Temporary variables to hold output data */
+  float32_t out5, out6, out7, out8;              /* Temporary variables to hold output data */
+
+  /* loop Unrolling */
+  blkCnt = numSamples >> 2U;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while (blkCnt > 0U)
+  {
+    /* C[2 * i] = A[2 * i] * B[i].            */
+    /* C[2 * i + 1] = A[2 * i + 1] * B[i].        */
+    /* read input from complex input buffer */
+    inA1 = pSrcCmplx[0];
+    inA2 = pSrcCmplx[1];
+    /* read input from real input buffer */
+    inB1 = pSrcReal[0];
+
+    /* read input from complex input buffer */
+    inA3 = pSrcCmplx[2];
+
+    /* multiply complex buffer real input with real buffer input */
+    out1 = inA1 * inB1;
+
+    /* read input from complex input buffer */
+    inA4 = pSrcCmplx[3];
+
+    /* multiply complex buffer imaginary input with real buffer input */
+    out2 = inA2 * inB1;
+
+    /* read input from real input buffer */
+    inB2 = pSrcReal[1];
+    /* read input from complex input buffer */
+    inA5 = pSrcCmplx[4];
+
+    /* multiply complex buffer real input with real buffer input */
+    out3 = inA3 * inB2;
+
+    /* read input from complex input buffer */
+    inA6 = pSrcCmplx[5];
+    /* read input from real input buffer */
+    inB3 = pSrcReal[2];
+
+    /* multiply complex buffer imaginary input with real buffer input */
+    out4 = inA4 * inB2;
+
+    /* read input from complex input buffer */
+    inA7 = pSrcCmplx[6];
+
+    /* multiply complex buffer real input with real buffer input */
+    out5 = inA5 * inB3;
+
+    /* read input from complex input buffer */
+    inA8 = pSrcCmplx[7];
+
+    /* multiply complex buffer imaginary input with real buffer input */
+    out6 = inA6 * inB3;
+
+    /* read input from real input buffer */
+    inB4 = pSrcReal[3];
+
+    /* store result to destination bufer */
+    pCmplxDst[0] = out1;
+
+    /* multiply complex buffer real input with real buffer input */
+    out7 = inA7 * inB4;
+
+    /* store result to destination bufer */
+    pCmplxDst[1] = out2;
+
+    /* multiply complex buffer imaginary input with real buffer input */
+    out8 = inA8 * inB4;
+
+    /* store result to destination bufer */
+    pCmplxDst[2] = out3;
+    pCmplxDst[3] = out4;
+    pCmplxDst[4] = out5;
+
+    /* incremnet complex input buffer by 8 to process next samples */
+    pSrcCmplx += 8U;
+
+    /* store result to destination bufer */
+    pCmplxDst[5] = out6;
+
+    /* increment real input buffer by 4 to process next samples */
+    pSrcReal += 4U;
+
+    /* store result to destination bufer */
+    pCmplxDst[6] = out7;
+    pCmplxDst[7] = out8;
+
+    /* increment destination buffer by 8 to process next sampels */
+    pCmplxDst += 8U;
+
+    /* Decrement the numSamples loop counter */
+    blkCnt--;
+  }
+
+  /* If the numSamples is not a multiple of 4, compute any remaining output samples here.
+   ** No loop unrolling is used. */
+  blkCnt = numSamples % 0x4U;
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+  blkCnt = numSamples;
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+  while (blkCnt > 0U)
+  {
+    /* C[2 * i] = A[2 * i] * B[i].            */
+    /* C[2 * i + 1] = A[2 * i + 1] * B[i].        */
+    in = *pSrcReal++;
+    /* store the result in the destination buffer. */
+    *pCmplxDst++ = (*pSrcCmplx++) * (in);
+    *pCmplxDst++ = (*pSrcCmplx++) * (in);
+
+    /* Decrement the numSamples loop counter */
+    blkCnt--;
+  }
+}
+
+/**
+ * @} end of CmplxByRealMult group
+ */
diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_real_q15.c b/cdc-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_real_q15.c
new file mode 100644
index 0000000..abafc3b
--- /dev/null
+++ b/cdc-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_real_q15.c
@@ -0,0 +1,191 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_cmplx_mult_real_q15.c
+ * Description:  Q15 complex by real multiplication
+ *
+ * $Date:        27. January 2017
+ * $Revision:    V.1.5.1
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ * @ingroup groupCmplxMath
+ */
+
+/**
+ * @addtogroup CmplxByRealMult
+ * @{
+ */
+
+
+/**
+ * @brief  Q15 complex-by-real multiplication
+ * @param[in]  *pSrcCmplx points to the complex input vector
+ * @param[in]  *pSrcReal points to the real input vector
+ * @param[out]  *pCmplxDst points to the complex output vector
+ * @param[in]  numSamples number of samples in each vector
+ * @return none.
+ *
+ * Scaling and Overflow Behavior:
+ * \par
+ * The function uses saturating arithmetic.
+ * Results outside of the allowable Q15 range [0x8000 0x7FFF] will be saturated.
+ */
+
+void arm_cmplx_mult_real_q15(
+  q15_t * pSrcCmplx,
+  q15_t * pSrcReal,
+  q15_t * pCmplxDst,
+  uint32_t numSamples)
+{
+  q15_t in;                                      /* Temporary variable to store input value */
+
+#if defined (ARM_MATH_DSP)
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+  uint32_t blkCnt;                               /* loop counters */
+  q31_t inA1, inA2;                              /* Temporary variables to hold input data */
+  q31_t inB1;                                    /* Temporary variables to hold input data */
+  q15_t out1, out2, out3, out4;                  /* Temporary variables to hold output data */
+  q31_t mul1, mul2, mul3, mul4;                  /* Temporary variables to hold intermediate data */
+
+  /* loop Unrolling */
+  blkCnt = numSamples >> 2U;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while (blkCnt > 0U)
+  {
+    /* C[2 * i] = A[2 * i] * B[i].            */
+    /* C[2 * i + 1] = A[2 * i + 1] * B[i].        */
+    /* read complex number both real and imaginary from complex input buffer */
+    inA1 = *__SIMD32(pSrcCmplx)++;
+    /* read two real values at a time from real input buffer */
+    inB1 = *__SIMD32(pSrcReal)++;
+    /* read complex number both real and imaginary from complex input buffer */
+    inA2 = *__SIMD32(pSrcCmplx)++;
+
+    /* multiply complex number with real numbers */
+#ifndef ARM_MATH_BIG_ENDIAN
+
+    mul1 = (q31_t) ((q15_t) (inA1) * (q15_t) (inB1));
+    mul2 = (q31_t) ((q15_t) (inA1 >> 16) * (q15_t) (inB1));
+    mul3 = (q31_t) ((q15_t) (inA2) * (q15_t) (inB1 >> 16));
+    mul4 = (q31_t) ((q15_t) (inA2 >> 16) * (q15_t) (inB1 >> 16));
+
+#else
+
+    mul2 = (q31_t) ((q15_t) (inA1 >> 16) * (q15_t) (inB1 >> 16));
+    mul1 = (q31_t) ((q15_t) inA1 * (q15_t) (inB1 >> 16));
+    mul4 = (q31_t) ((q15_t) (inA2 >> 16) * (q15_t) inB1);
+    mul3 = (q31_t) ((q15_t) inA2 * (q15_t) inB1);
+
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+    /* saturate the result */
+    out1 = (q15_t) __SSAT(mul1 >> 15U, 16);
+    out2 = (q15_t) __SSAT(mul2 >> 15U, 16);
+    out3 = (q15_t) __SSAT(mul3 >> 15U, 16);
+    out4 = (q15_t) __SSAT(mul4 >> 15U, 16);
+
+    /* pack real and imaginary outputs and store them to destination */
+    *__SIMD32(pCmplxDst)++ = __PKHBT(out1, out2, 16);
+    *__SIMD32(pCmplxDst)++ = __PKHBT(out3, out4, 16);
+
+    inA1 = *__SIMD32(pSrcCmplx)++;
+    inB1 = *__SIMD32(pSrcReal)++;
+    inA2 = *__SIMD32(pSrcCmplx)++;
+
+#ifndef ARM_MATH_BIG_ENDIAN
+
+    mul1 = (q31_t) ((q15_t) (inA1) * (q15_t) (inB1));
+    mul2 = (q31_t) ((q15_t) (inA1 >> 16) * (q15_t) (inB1));
+    mul3 = (q31_t) ((q15_t) (inA2) * (q15_t) (inB1 >> 16));
+    mul4 = (q31_t) ((q15_t) (inA2 >> 16) * (q15_t) (inB1 >> 16));
+
+#else
+
+    mul2 = (q31_t) ((q15_t) (inA1 >> 16) * (q15_t) (inB1 >> 16));
+    mul1 = (q31_t) ((q15_t) inA1 * (q15_t) (inB1 >> 16));
+    mul4 = (q31_t) ((q15_t) (inA2 >> 16) * (q15_t) inB1);
+    mul3 = (q31_t) ((q15_t) inA2 * (q15_t) inB1);
+
+#endif /* #ifndef ARM_MATH_BIG_ENDIAN */
+
+    out1 = (q15_t) __SSAT(mul1 >> 15U, 16);
+    out2 = (q15_t) __SSAT(mul2 >> 15U, 16);
+    out3 = (q15_t) __SSAT(mul3 >> 15U, 16);
+    out4 = (q15_t) __SSAT(mul4 >> 15U, 16);
+
+    *__SIMD32(pCmplxDst)++ = __PKHBT(out1, out2, 16);
+    *__SIMD32(pCmplxDst)++ = __PKHBT(out3, out4, 16);
+
+    /* Decrement the numSamples loop counter */
+    blkCnt--;
+  }
+
+  /* If the numSamples is not a multiple of 4, compute any remaining output samples here.
+   ** No loop unrolling is used. */
+  blkCnt = numSamples % 0x4U;
+
+  while (blkCnt > 0U)
+  {
+    /* C[2 * i] = A[2 * i] * B[i].            */
+    /* C[2 * i + 1] = A[2 * i + 1] * B[i].        */
+    in = *pSrcReal++;
+    /* store the result in the destination buffer. */
+    *pCmplxDst++ =
+      (q15_t) __SSAT((((q31_t) (*pSrcCmplx++) * (in)) >> 15), 16);
+    *pCmplxDst++ =
+      (q15_t) __SSAT((((q31_t) (*pSrcCmplx++) * (in)) >> 15), 16);
+
+    /* Decrement the numSamples loop counter */
+    blkCnt--;
+  }
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  while (numSamples > 0U)
+  {
+    /* realOut = realA * realB.            */
+    /* imagOut = imagA * realB.                */
+    in = *pSrcReal++;
+    /* store the result in the destination buffer. */
+    *pCmplxDst++ =
+      (q15_t) __SSAT((((q31_t) (*pSrcCmplx++) * (in)) >> 15), 16);
+    *pCmplxDst++ =
+      (q15_t) __SSAT((((q31_t) (*pSrcCmplx++) * (in)) >> 15), 16);
+
+    /* Decrement the numSamples loop counter */
+    numSamples--;
+  }
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+}
+
+/**
+ * @} end of CmplxByRealMult group
+ */
diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_real_q31.c b/cdc-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_real_q31.c
new file mode 100644
index 0000000..aaa3ec0
--- /dev/null
+++ b/cdc-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_real_q31.c
@@ -0,0 +1,211 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_cmplx_mult_real_q31.c
+ * Description:  Q31 complex by real multiplication
+ *
+ * $Date:        27. January 2017
+ * $Revision:    V.1.5.1
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+/**
+ * @ingroup groupCmplxMath
+ */
+
+/**
+ * @addtogroup CmplxByRealMult
+ * @{
+ */
+
+
+/**
+ * @brief  Q31 complex-by-real multiplication
+ * @param[in]  *pSrcCmplx points to the complex input vector
+ * @param[in]  *pSrcReal points to the real input vector
+ * @param[out]  *pCmplxDst points to the complex output vector
+ * @param[in]  numSamples number of samples in each vector
+ * @return none.
+ *
+ * Scaling and Overflow Behavior:
+ * \par
+ * The function uses saturating arithmetic.
+ * Results outside of the allowable Q31 range[0x80000000 0x7FFFFFFF] will be saturated.
+ */
+
+void arm_cmplx_mult_real_q31(
+  q31_t * pSrcCmplx,
+  q31_t * pSrcReal,
+  q31_t * pCmplxDst,
+  uint32_t numSamples)
+{
+  q31_t inA1;                                    /* Temporary variable to store input value */
+
+#if defined (ARM_MATH_DSP)
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+  uint32_t blkCnt;                               /* loop counters */
+  q31_t inA2, inA3, inA4;                        /* Temporary variables to hold input data */
+  q31_t inB1, inB2;                              /* Temporary variabels to hold input data */
+  q31_t out1, out2, out3, out4;                  /* Temporary variables to hold output data */
+
+  /* loop Unrolling */
+  blkCnt = numSamples >> 2U;
+
+  /* First part of the processing with loop unrolling.  Compute 4 outputs at a time.
+   ** a second loop below computes the remaining 1 to 3 samples. */
+  while (blkCnt > 0U)
+  {
+    /* C[2 * i] = A[2 * i] * B[i].            */
+    /* C[2 * i + 1] = A[2 * i + 1] * B[i].        */
+    /* read real input from complex input buffer */
+    inA1 = *pSrcCmplx++;
+    inA2 = *pSrcCmplx++;
+    /* read input from real input bufer */
+    inB1 = *pSrcReal++;
+    inB2 = *pSrcReal++;
+    /* read imaginary input from complex input buffer */
+    inA3 = *pSrcCmplx++;
+    inA4 = *pSrcCmplx++;
+
+    /* multiply complex input with real input */
+    out1 = ((q63_t) inA1 * inB1) >> 32;
+    out2 = ((q63_t) inA2 * inB1) >> 32;
+    out3 = ((q63_t) inA3 * inB2) >> 32;
+    out4 = ((q63_t) inA4 * inB2) >> 32;
+
+    /* sature the result */
+    out1 = __SSAT(out1, 31);
+    out2 = __SSAT(out2, 31);
+    out3 = __SSAT(out3, 31);
+    out4 = __SSAT(out4, 31);
+
+    /* get result in 1.31 format */
+    out1 = out1 << 1;
+    out2 = out2 << 1;
+    out3 = out3 << 1;
+    out4 = out4 << 1;
+
+    /* store the result to destination buffer */
+    *pCmplxDst++ = out1;
+    *pCmplxDst++ = out2;
+    *pCmplxDst++ = out3;
+    *pCmplxDst++ = out4;
+
+    /* read real input from complex input buffer */
+    inA1 = *pSrcCmplx++;
+    inA2 = *pSrcCmplx++;
+    /* read input from real input bufer */
+    inB1 = *pSrcReal++;
+    inB2 = *pSrcReal++;
+    /* read imaginary input from complex input buffer */
+    inA3 = *pSrcCmplx++;
+    inA4 = *pSrcCmplx++;
+
+    /* multiply complex input with real input */
+    out1 = ((q63_t) inA1 * inB1) >> 32;
+    out2 = ((q63_t) inA2 * inB1) >> 32;
+    out3 = ((q63_t) inA3 * inB2) >> 32;
+    out4 = ((q63_t) inA4 * inB2) >> 32;
+
+    /* sature the result */
+    out1 = __SSAT(out1, 31);
+    out2 = __SSAT(out2, 31);
+    out3 = __SSAT(out3, 31);
+    out4 = __SSAT(out4, 31);
+
+    /* get result in 1.31 format */
+    out1 = out1 << 1;
+    out2 = out2 << 1;
+    out3 = out3 << 1;
+    out4 = out4 << 1;
+
+    /* store the result to destination buffer */
+    *pCmplxDst++ = out1;
+    *pCmplxDst++ = out2;
+    *pCmplxDst++ = out3;
+    *pCmplxDst++ = out4;
+
+    /* Decrement the numSamples loop counter */
+    blkCnt--;
+  }
+
+  /* If the numSamples is not a multiple of 4, compute any remaining output samples here.
+   ** No loop unrolling is used. */
+  blkCnt = numSamples % 0x4U;
+
+  while (blkCnt > 0U)
+  {
+    /* C[2 * i] = A[2 * i] * B[i].            */
+    /* C[2 * i + 1] = A[2 * i + 1] * B[i].        */
+    /* read real input from complex input buffer */
+    inA1 = *pSrcCmplx++;
+    inA2 = *pSrcCmplx++;
+    /* read input from real input bufer */
+    inB1 = *pSrcReal++;
+
+    /* multiply complex input with real input */
+    out1 = ((q63_t) inA1 * inB1) >> 32;
+    out2 = ((q63_t) inA2 * inB1) >> 32;
+
+    /* sature the result */
+    out1 = __SSAT(out1, 31);
+    out2 = __SSAT(out2, 31);
+
+    /* get result in 1.31 format */
+    out1 = out1 << 1;
+    out2 = out2 << 1;
+
+    /* store the result to destination buffer */
+    *pCmplxDst++ = out1;
+    *pCmplxDst++ = out2;
+
+    /* Decrement the numSamples loop counter */
+    blkCnt--;
+  }
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  while (numSamples > 0U)
+  {
+    /* realOut = realA * realB.            */
+    /* imagReal = imagA * realB.               */
+    inA1 = *pSrcReal++;
+    /* store the result in the destination buffer. */
+    *pCmplxDst++ =
+      (q31_t) clip_q63_to_q31(((q63_t) * pSrcCmplx++ * inA1) >> 31);
+    *pCmplxDst++ =
+      (q31_t) clip_q63_to_q31(((q63_t) * pSrcCmplx++ * inA1) >> 31);
+
+    /* Decrement the numSamples loop counter */
+    numSamples--;
+  }
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+}
+
+/**
+ * @} end of CmplxByRealMult group
+ */
diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_pid_init_f32.c b/cdc-dials/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_pid_init_f32.c
new file mode 100644
index 0000000..e729500
--- /dev/null
+++ b/cdc-dials/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_pid_init_f32.c
@@ -0,0 +1,74 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_pid_init_f32.c
+ * Description:  Floating-point PID Control initialization function
+ *
+ * $Date:        27. January 2017
+ * $Revision:    V.1.5.1
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+ /**
+ * @addtogroup PID
+ * @{
+ */
+
+/**
+ * @brief  Initialization function for the floating-point PID Control.
+ * @param[in,out] *S points to an instance of the PID structure.
+ * @param[in]     resetStateFlag  flag to reset the state. 0 = no change in state & 1 = reset the state.
+ * @return none.
+ * \par Description:
+ * \par
+ * The resetStateFlag specifies whether to set state to zero or not. \n
+ * The function computes the structure fields: A0, A1 A2
+ * using the proportional gain( \c Kp), integral gain( \c Ki) and derivative gain( \c Kd)
+ * also sets the state variables to all zeros.
+ */
+
+void arm_pid_init_f32(
+  arm_pid_instance_f32 * S,
+  int32_t resetStateFlag)
+{
+
+  /* Derived coefficient A0 */
+  S->A0 = S->Kp + S->Ki + S->Kd;
+
+  /* Derived coefficient A1 */
+  S->A1 = (-S->Kp) - ((float32_t) 2.0 * S->Kd);
+
+  /* Derived coefficient A2 */
+  S->A2 = S->Kd;
+
+  /* Check whether state needs reset or not */
+  if (resetStateFlag)
+  {
+    /* Clear the state buffer.  The size will be always 3 samples */
+    memset(S->state, 0, 3U * sizeof(float32_t));
+  }
+
+}
+
+/**
+ * @} end of PID group
+ */
diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_pid_init_q15.c b/cdc-dials/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_pid_init_q15.c
new file mode 100644
index 0000000..0f83f35
--- /dev/null
+++ b/cdc-dials/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_pid_init_q15.c
@@ -0,0 +1,110 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_pid_init_q15.c
+ * Description:  Q15 PID Control initialization function
+ *
+ * $Date:        27. January 2017
+ * $Revision:    V.1.5.1
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+ /**
+ * @addtogroup PID
+ * @{
+ */
+
+/**
+ * @details
+ * @param[in,out] *S points to an instance of the Q15 PID structure.
+ * @param[in]     resetStateFlag  flag to reset the state. 0 = no change in state 1 = reset the state.
+ * @return none.
+ * \par Description:
+ * \par
+ * The resetStateFlag specifies whether to set state to zero or not. \n
+ * The function computes the structure fields: A0, A1 A2
+ * using the proportional gain( \c Kp), integral gain( \c Ki) and derivative gain( \c Kd)
+ * also sets the state variables to all zeros.
+ */
+
+void arm_pid_init_q15(
+  arm_pid_instance_q15 * S,
+  int32_t resetStateFlag)
+{
+
+#if defined (ARM_MATH_DSP)
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  /* Derived coefficient A0 */
+  S->A0 = __QADD16(__QADD16(S->Kp, S->Ki), S->Kd);
+
+  /* Derived coefficients and pack into A1 */
+
+#ifndef  ARM_MATH_BIG_ENDIAN
+
+  S->A1 = __PKHBT(-__QADD16(__QADD16(S->Kd, S->Kd), S->Kp), S->Kd, 16);
+
+#else
+
+  S->A1 = __PKHBT(S->Kd, -__QADD16(__QADD16(S->Kd, S->Kd), S->Kp), 16);
+
+#endif /*      #ifndef  ARM_MATH_BIG_ENDIAN    */
+
+  /* Check whether state needs reset or not */
+  if (resetStateFlag)
+  {
+    /* Clear the state buffer.  The size will be always 3 samples */
+    memset(S->state, 0, 3U * sizeof(q15_t));
+  }
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  q31_t temp;                                    /*to store the sum */
+
+  /* Derived coefficient A0 */
+  temp = S->Kp + S->Ki + S->Kd;
+  S->A0 = (q15_t) __SSAT(temp, 16);
+
+  /* Derived coefficients and pack into A1 */
+  temp = -(S->Kd + S->Kd + S->Kp);
+  S->A1 = (q15_t) __SSAT(temp, 16);
+  S->A2 = S->Kd;
+
+
+
+  /* Check whether state needs reset or not */
+  if (resetStateFlag)
+  {
+    /* Clear the state buffer.  The size will be always 3 samples */
+    memset(S->state, 0, 3U * sizeof(q15_t));
+  }
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+}
+
+/**
+ * @} end of PID group
+ */
diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_pid_init_q31.c b/cdc-dials/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_pid_init_q31.c
new file mode 100644
index 0000000..ce2936e
--- /dev/null
+++ b/cdc-dials/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_pid_init_q31.c
@@ -0,0 +1,95 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_pid_init_q31.c
+ * Description:  Q31 PID Control initialization function
+ *
+ * $Date:        27. January 2017
+ * $Revision:    V.1.5.1
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+ /**
+ * @addtogroup PID
+ * @{
+ */
+
+/**
+ * @brief  Initialization function for the Q31 PID Control.
+ * @param[in,out] *S points to an instance of the Q31 PID structure.
+ * @param[in]     resetStateFlag  flag to reset the state. 0 = no change in state 1 = reset the state.
+ * @return none.
+ * \par Description:
+ * \par
+ * The resetStateFlag specifies whether to set state to zero or not. \n
+ * The function computes the structure fields: A0, A1 A2
+ * using the proportional gain( \c Kp), integral gain( \c Ki) and derivative gain( \c Kd)
+ * also sets the state variables to all zeros.
+ */
+
+void arm_pid_init_q31(
+  arm_pid_instance_q31 * S,
+  int32_t resetStateFlag)
+{
+
+#if defined (ARM_MATH_DSP)
+
+  /* Run the below code for Cortex-M4 and Cortex-M3 */
+
+  /* Derived coefficient A0 */
+  S->A0 = __QADD(__QADD(S->Kp, S->Ki), S->Kd);
+
+  /* Derived coefficient A1 */
+  S->A1 = -__QADD(__QADD(S->Kd, S->Kd), S->Kp);
+
+
+#else
+
+  /* Run the below code for Cortex-M0 */
+
+  q31_t temp;
+
+  /* Derived coefficient A0 */
+  temp = clip_q63_to_q31((q63_t) S->Kp + S->Ki);
+  S->A0 = clip_q63_to_q31((q63_t) temp + S->Kd);
+
+  /* Derived coefficient A1 */
+  temp = clip_q63_to_q31((q63_t) S->Kd + S->Kd);
+  S->A1 = -clip_q63_to_q31((q63_t) temp + S->Kp);
+
+#endif /* #if defined (ARM_MATH_DSP) */
+
+  /* Derived coefficient A2 */
+  S->A2 = S->Kd;
+
+  /* Check whether state needs reset or not */
+  if (resetStateFlag)
+  {
+    /* Clear the state buffer.  The size will be always 3 samples */
+    memset(S->state, 0, 3U * sizeof(q31_t));
+  }
+
+}
+
+/**
+ * @} end of PID group
+ */
diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_pid_reset_f32.c b/cdc-dials/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_pid_reset_f32.c
new file mode 100644
index 0000000..acc1709
--- /dev/null
+++ b/cdc-dials/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_pid_reset_f32.c
@@ -0,0 +1,53 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_pid_reset_f32.c
+ * Description:  Floating-point PID Control reset function
+ *
+ * $Date:        27. January 2017
+ * $Revision:    V.1.5.1
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+ /**
+ * @addtogroup PID
+ * @{
+ */
+
+/**
+* @brief  Reset function for the floating-point PID Control.
+* @param[in] *S	Instance pointer of PID control data structure.
+* @return none.
+* \par Description:
+* The function resets the state buffer to zeros.
+*/
+void arm_pid_reset_f32(
+  arm_pid_instance_f32 * S)
+{
+
+  /* Clear the state buffer.  The size will be always 3 samples */
+  memset(S->state, 0, 3U * sizeof(float32_t));
+}
+
+/**
+ * @} end of PID group
+ */
diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_pid_reset_q15.c b/cdc-dials/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_pid_reset_q15.c
new file mode 100644
index 0000000..59c4416
--- /dev/null
+++ b/cdc-dials/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_pid_reset_q15.c
@@ -0,0 +1,52 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_pid_reset_q15.c
+ * Description:  Q15 PID Control reset function
+ *
+ * $Date:        27. January 2017
+ * $Revision:    V.1.5.1
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+ /**
+ * @addtogroup PID
+ * @{
+ */
+
+/**
+* @brief  Reset function for the Q15 PID Control.
+* @param[in] *S		Instance pointer of PID control data structure.
+* @return none.
+* \par Description:
+* The function resets the state buffer to zeros.
+*/
+void arm_pid_reset_q15(
+  arm_pid_instance_q15 * S)
+{
+  /* Reset state to zero, The size will be always 3 samples */
+  memset(S->state, 0, 3U * sizeof(q15_t));
+}
+
+/**
+ * @} end of PID group
+ */
diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_pid_reset_q31.c b/cdc-dials/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_pid_reset_q31.c
new file mode 100644
index 0000000..7112a77
--- /dev/null
+++ b/cdc-dials/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_pid_reset_q31.c
@@ -0,0 +1,53 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_pid_reset_q31.c
+ * Description:  Q31 PID Control reset function
+ *
+ * $Date:        27. January 2017
+ * $Revision:    V.1.5.1
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+
+ /**
+ * @addtogroup PID
+ * @{
+ */
+
+/**
+* @brief  Reset function for the Q31 PID Control.
+* @param[in] *S	Instance pointer of PID control data structure.
+* @return none.
+* \par Description:
+* The function resets the state buffer to zeros.
+*/
+void arm_pid_reset_q31(
+  arm_pid_instance_q31 * S)
+{
+
+  /* Clear the state buffer.  The size will be always 3 samples */
+  memset(S->state, 0, 3U * sizeof(q31_t));
+}
+
+/**
+ * @} end of PID group
+ */
diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_sin_cos_f32.c b/cdc-dials/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_sin_cos_f32.c
new file mode 100644
index 0000000..2aff091
--- /dev/null
+++ b/cdc-dials/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_sin_cos_f32.c
@@ -0,0 +1,144 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_sin_cos_f32.c
+ * Description:  Sine and Cosine calculation for floating-point values
+ *
+ * $Date:        27. January 2017
+ * $Revision:    V.1.5.1
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+#include "arm_common_tables.h"
+
+/**
+ * @ingroup groupController
+ */
+
+/**
+ * @defgroup SinCos Sine Cosine
+ *
+ * Computes the trigonometric sine and cosine values using a combination of table lookup
+ * and linear interpolation.
+ * There are separate functions for Q31 and floating-point data types.
+ * The input to the floating-point version is in degrees while the
+ * fixed-point Q31 have a scaled input with the range
+ * [-1 0.9999] mapping to [-180 +180] degrees.
+ *
+ * The floating point function also allows values that are out of the usual range. When this happens, the function will
+ * take extra time to adjust the input value to the range of [-180 180].
+ *
+ * The result is accurate to 5 digits after the decimal point.
+ *
+ * The implementation is based on table lookup using 360 values together with linear interpolation.
+ * The steps used are:
+ *  -# Calculation of the nearest integer table index.
+ *  -# Compute the fractional portion (fract) of the input.
+ *  -# Fetch the value corresponding to \c index from sine table to \c y0 and also value from \c index+1 to \c y1.
+ *  -# Sine value is computed as  *psinVal = y0 + (fract * (y1 - y0)).
+ *  -# Fetch the value corresponding to \c index from cosine table to \c y0 and also value from \c index+1 to \c y1.
+ *  -# Cosine value is computed as  *pcosVal = y0 + (fract * (y1 - y0)).
+ */
+
+ /**
+ * @addtogroup SinCos
+ * @{
+ */
+
+/**
+ * @brief  Floating-point sin_cos function.
+ * @param[in]  theta    input value in degrees
+ * @param[out] *pSinVal points to the processed sine output.
+ * @param[out] *pCosVal points to the processed cos output.
+ * @return none.
+ */
+
+void arm_sin_cos_f32(
+                      float32_t theta,
+                      float32_t * pSinVal,
+                      float32_t * pCosVal)
+{
+    float32_t fract, in;                             /* Temporary variables for input, output */
+    uint16_t indexS, indexC;                         /* Index variable */
+    float32_t f1, f2, d1, d2;                        /* Two nearest output values */
+    float32_t findex, Dn, Df, temp;
+
+    /* input x is in degrees */
+    /* Scale the input, divide input by 360, for cosine add 0.25 (pi/2) to read sine table */
+    in = theta * 0.00277777777778f;
+
+    if (in < 0.0f)
+    {
+        in = -in;
+    }
+
+    in = in - (int32_t)in;
+
+    /* Calculation of index of the table */
+    findex = (float32_t) FAST_MATH_TABLE_SIZE * in;
+    indexS = ((uint16_t)findex) & 0x1ff;
+    indexC = (indexS + (FAST_MATH_TABLE_SIZE / 4)) & 0x1ff;
+
+    /* fractional value calculation */
+    fract = findex - (float32_t) indexS;
+
+    /* Read two nearest values of input value from the cos & sin tables */
+    f1 = sinTable_f32[indexC+0];
+    f2 = sinTable_f32[indexC+1];
+    d1 = -sinTable_f32[indexS+0];
+    d2 = -sinTable_f32[indexS+1];
+
+    temp = (1.0f - fract) * f1 + fract * f2;
+
+    Dn = 0.0122718463030f; // delta between the two points (fixed), in this case 2*pi/FAST_MATH_TABLE_SIZE
+    Df = f2 - f1;          // delta between the values of the functions
+
+    temp = Dn *(d1 + d2) - 2 * Df;
+    temp = fract * temp + (3 * Df - (d2 + 2 * d1) * Dn);
+    temp = fract * temp + d1 * Dn;
+
+    /* Calculation of cosine value */
+    *pCosVal = fract * temp + f1;
+
+    /* Read two nearest values of input value from the cos & sin tables */
+    f1 = sinTable_f32[indexS+0];
+    f2 = sinTable_f32[indexS+1];
+    d1 = sinTable_f32[indexC+0];
+    d2 = sinTable_f32[indexC+1];
+
+    temp = (1.0f - fract) * f1 + fract * f2;
+
+    Df = f2 - f1; // delta between the values of the functions
+    temp = Dn*(d1 + d2) - 2*Df;
+    temp = fract*temp + (3*Df - (d2 + 2*d1)*Dn);
+    temp = fract*temp + d1*Dn;
+
+    /* Calculation of sine value */
+    *pSinVal = fract*temp + f1;
+
+    if (theta < 0.0f)
+    {
+        *pSinVal = -*pSinVal;
+    }
+}
+/**
+ * @} end of SinCos group
+ */
diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_sin_cos_q31.c b/cdc-dials/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_sin_cos_q31.c
new file mode 100644
index 0000000..c1c33ec
--- /dev/null
+++ b/cdc-dials/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_sin_cos_q31.c
@@ -0,0 +1,110 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_sin_cos_q31.c
+ * Description:  Cosine & Sine calculation for Q31 values
+ *
+ * $Date:        27. January 2017
+ * $Revision:    V.1.5.1
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+#include "arm_common_tables.h"
+
+/**
+ * @ingroup groupController
+ */
+
+ /**
+ * @addtogroup SinCos
+ * @{
+ */
+
+/**
+ * @brief  Q31 sin_cos function.
+ * @param[in]  theta    scaled input value in degrees
+ * @param[out] *pSinVal points to the processed sine output.
+ * @param[out] *pCosVal points to the processed cosine output.
+ * @return none.
+ *
+ * The Q31 input value is in the range [-1 0.999999] and is mapped to a degree value in the range [-180 179].
+ *
+ */
+
+void arm_sin_cos_q31(
+  q31_t theta,
+  q31_t * pSinVal,
+  q31_t * pCosVal)
+{
+  q31_t fract;                                 /* Temporary variables for input, output */
+  uint16_t indexS, indexC;                     /* Index variable */
+  q31_t f1, f2, d1, d2;                        /* Two nearest output values */
+  q31_t Dn, Df;
+  q63_t temp;
+
+  /* Calculate the nearest index */
+  indexS = (uint32_t)theta >> CONTROLLER_Q31_SHIFT;
+  indexC = (indexS + 128) & 0x1ff;
+
+  /* Calculation of fractional value */
+  fract = (theta - (indexS << CONTROLLER_Q31_SHIFT)) << 8;
+
+  /* Read two nearest values of input value from the cos & sin tables */
+  f1 = sinTable_q31[indexC+0];
+  f2 = sinTable_q31[indexC+1];
+  d1 = -sinTable_q31[indexS+0];
+  d2 = -sinTable_q31[indexS+1];
+
+  Dn = 0x1921FB5; // delta between the two points (fixed), in this case 2*pi/FAST_MATH_TABLE_SIZE
+  Df = f2 - f1; // delta between the values of the functions
+  temp = Dn*((q63_t)d1 + d2);
+  temp = temp - ((q63_t)Df << 32);
+  temp = (q63_t)fract*(temp >> 31);
+  temp = temp + ((3*(q63_t)Df << 31) - (d2 + ((q63_t)d1 << 1))*Dn);
+  temp = (q63_t)fract*(temp >> 31);
+  temp = temp + (q63_t)d1*Dn;
+  temp = (q63_t)fract*(temp >> 31);
+
+  /* Calculation of cosine value */
+  *pCosVal = clip_q63_to_q31((temp >> 31) + (q63_t)f1);
+
+  /* Read two nearest values of input value from the cos & sin tables */
+  f1 = sinTable_q31[indexS+0];
+  f2 = sinTable_q31[indexS+1];
+  d1 = sinTable_q31[indexC+0];
+  d2 = sinTable_q31[indexC+1];
+
+  Df = f2 - f1; // delta between the values of the functions
+  temp = Dn*((q63_t)d1 + d2);
+  temp = temp - ((q63_t)Df << 32);
+  temp = (q63_t)fract*(temp >> 31);
+  temp = temp + ((3*(q63_t)Df << 31) - (d2 + ((q63_t)d1 << 1))*Dn);
+  temp = (q63_t)fract*(temp >> 31);
+  temp = temp + (q63_t)d1*Dn;
+  temp = (q63_t)fract*(temp >> 31);
+
+  /* Calculation of sine value */
+  *pSinVal = clip_q63_to_q31((temp >> 31) + (q63_t)f1);
+}
+
+/**
+ * @} end of SinCos group
+ */
diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_cos_f32.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_cos_f32.c
new file mode 100644
index 0000000..44efbd5
--- /dev/null
+++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_cos_f32.c
@@ -0,0 +1,115 @@
+/* ----------------------------------------------------------------------
+ * Project:      CMSIS DSP Library
+ * Title:        arm_cos_f32.c
+ * Description:  Fast cosine calculation for floating-point values
+ *
+ * $Date:        27. January 2017
+ * $Revision:    V.1.5.1
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#include "arm_math.h"
+#include "arm_common_tables.h"
+/**
+ * @ingroup groupFastMath
+ */
+
+/**
+ * @defgroup cos Cosine
+ *
+ * Computes the trigonometric cosine function using a combination of table lookup
+ * and linear interpolation.  There are separate functions for
+ * Q15, Q31, and floating-point data types.
+ * The input to the floating-point version is in radians and in the range [0 2*pi) while the
+ * fixed-point Q15 and Q31 have a scaled input with the range
+ * [0 +0.9999] mapping to [0 2*pi).  The fixed-point range is chosen so that a
+ * value of 2*pi wraps around to 0.
+ *
+ * The implementation is based on table lookup using 256 values together with linear interpolation.
+ * The steps used are:
+ *  -# Calculation of the nearest integer table index
+ *  -# Compute the fractional portion (fract) of the table index.
+ *  -# The final result equals (1.0f-fract)*a + fract*b;
+ *
+ * where
+ * 
+ *    b=Table[index+0];
+ *    c=Table[index+1];
+ * 
+ */ + + /** + * @addtogroup cos + * @{ + */ + +/** + * @brief Fast approximation to the trigonometric cosine function for floating-point data. + * @param[in] x input value in radians. + * @return cos(x). + */ + +float32_t arm_cos_f32( + float32_t x) +{ + float32_t cosVal, fract, in; /* Temporary variables for input, output */ + uint16_t index; /* Index variable */ + float32_t a, b; /* Two nearest output values */ + int32_t n; + float32_t findex; + + /* input x is in radians */ + /* Scale the input to [0 1] range from [0 2*PI] , divide input by 2*pi, add 0.25 (pi/2) to read sine table */ + in = x * 0.159154943092f + 0.25f; + + /* Calculation of floor value of input */ + n = (int32_t) in; + + /* Make negative values towards -infinity */ + if (in < 0.0f) + { + n--; + } + + /* Map input value to [0 1] */ + in = in - (float32_t) n; + + /* Calculation of index of the table */ + findex = (float32_t) FAST_MATH_TABLE_SIZE * in; + index = ((uint16_t)findex) & 0x1ff; + + /* fractional value calculation */ + fract = findex - (float32_t) index; + + /* Read two nearest values of input value from the cos table */ + a = sinTable_f32[index]; + b = sinTable_f32[index+1]; + + /* Linear interpolation process */ + cosVal = (1.0f-fract)*a + fract*b; + + /* Return the output value */ + return (cosVal); +} + +/** + * @} end of cos group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_cos_q15.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_cos_q15.c new file mode 100644 index 0000000..036c5d7 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_cos_q15.c @@ -0,0 +1,84 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_cos_q15.c + * Description: Fast cosine calculation for Q15 values + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include "arm_common_tables.h" + +/** + * @ingroup groupFastMath + */ + + /** + * @addtogroup cos + * @{ + */ + +/** + * @brief Fast approximation to the trigonometric cosine function for Q15 data. + * @param[in] x Scaled input value in radians. + * @return cos(x). + * + * The Q15 input value is in the range [0 +0.9999] and is mapped to a radian + * value in the range [0 2*pi). + */ + +q15_t arm_cos_q15( + q15_t x) +{ + q15_t cosVal; /* Temporary variables for input, output */ + int32_t index; /* Index variables */ + q15_t a, b; /* Four nearest output values */ + q15_t fract; /* Temporary values for fractional values */ + + /* add 0.25 (pi/2) to read sine table */ + x = (uint16_t)x + 0x2000; + if (x < 0) + { /* convert negative numbers to corresponding positive ones */ + x = (uint16_t)x + 0x8000; + } + + /* Calculate the nearest index */ + index = (uint32_t)x >> FAST_MATH_Q15_SHIFT; + + /* Calculation of fractional value */ + fract = (x - (index << FAST_MATH_Q15_SHIFT)) << 9; + + /* Read two nearest values of input value from the sin table */ + a = sinTable_q15[index]; + b = sinTable_q15[index+1]; + + /* Linear interpolation process */ + cosVal = (q31_t)(0x8000-fract)*a >> 16; + cosVal = (q15_t)((((q31_t)cosVal << 16) + ((q31_t)fract*b)) >> 16); + + return cosVal << 1; +} + +/** + * @} end of cos group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_cos_q31.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_cos_q31.c new file mode 100644 index 0000000..105addb --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_cos_q31.c @@ -0,0 +1,84 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_cos_q31.c + * Description: Fast cosine calculation for Q31 values + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include "arm_common_tables.h" + +/** + * @ingroup groupFastMath + */ + + /** + * @addtogroup cos + * @{ + */ + +/** + * @brief Fast approximation to the trigonometric cosine function for Q31 data. + * @param[in] x Scaled input value in radians. + * @return cos(x). + * + * The Q31 input value is in the range [0 +0.9999] and is mapped to a radian + * value in the range [0 2*pi). + */ + +q31_t arm_cos_q31( + q31_t x) +{ + q31_t cosVal; /* Temporary variables for input, output */ + int32_t index; /* Index variables */ + q31_t a, b; /* Four nearest output values */ + q31_t fract; /* Temporary values for fractional values */ + + /* add 0.25 (pi/2) to read sine table */ + x = (uint32_t)x + 0x20000000; + if (x < 0) + { /* convert negative numbers to corresponding positive ones */ + x = (uint32_t)x + 0x80000000; + } + + /* Calculate the nearest index */ + index = (uint32_t)x >> FAST_MATH_Q31_SHIFT; + + /* Calculation of fractional value */ + fract = (x - (index << FAST_MATH_Q31_SHIFT)) << 9; + + /* Read two nearest values of input value from the sin table */ + a = sinTable_q31[index]; + b = sinTable_q31[index+1]; + + /* Linear interpolation process */ + cosVal = (q63_t)(0x80000000-fract)*a >> 32; + cosVal = (q31_t)((((q63_t)cosVal << 32) + ((q63_t)fract*b)) >> 32); + + return cosVal << 1; +} + +/** + * @} end of cos group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_sin_f32.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_sin_f32.c new file mode 100644 index 0000000..3fb5153 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_sin_f32.c @@ -0,0 +1,123 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_sin_f32.c + * Description: Fast sine calculation for floating-point values + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include "arm_common_tables.h" +#include + +/** + * @ingroup groupFastMath + */ + +/** + * @defgroup sin Sine + * + * Computes the trigonometric sine function using a combination of table lookup + * and linear interpolation. There are separate functions for + * Q15, Q31, and floating-point data types. + * The input to the floating-point version is in radians and in the range [0 2*pi) while the + * fixed-point Q15 and Q31 have a scaled input with the range + * [0 +0.9999] mapping to [0 2*pi). The fixed-point range is chosen so that a + * value of 2*pi wraps around to 0. + * + * The implementation is based on table lookup using 256 values together with linear interpolation. + * The steps used are: + * -# Calculation of the nearest integer table index + * -# Compute the fractional portion (fract) of the table index. + * -# The final result equals (1.0f-fract)*a + fract*b; + * + * where + *
+ *    b=Table[index+0];
+ *    c=Table[index+1];
+ * 
+ */ + +/** + * @addtogroup sin + * @{ + */ + +/** + * @brief Fast approximation to the trigonometric sine function for floating-point data. + * @param[in] x input value in radians. + * @return sin(x). + */ + +float32_t arm_sin_f32( + float32_t x) +{ + float32_t sinVal, fract, in; /* Temporary variables for input, output */ + uint16_t index; /* Index variable */ + float32_t a, b; /* Two nearest output values */ + int32_t n; + float32_t findex; + + /* Special case for small negative inputs */ + if ((x < 0.0f) && (x >= -1.9e-7f)) { + return x; + } + + /* input x is in radians */ + /* Scale the input to [0 1] range from [0 2*PI] , divide input by 2*pi */ + in = x * 0.159154943092f; + + /* Calculation of floor value of input */ + n = (int32_t) in; + + /* Make negative values towards -infinity */ + if (x < 0.0f) + { + n--; + } + + /* Map input value to [0 1] */ + in = in - (float32_t) n; + + /* Calculation of index of the table */ + findex = (float32_t) FAST_MATH_TABLE_SIZE * in; + + index = ((uint16_t)findex) & 0x1ff; + + /* fractional value calculation */ + fract = findex - (float32_t) index; + + /* Read two nearest values of input value from the sin table */ + a = sinTable_f32[index]; + b = sinTable_f32[index+1]; + + /* Linear interpolation process */ + sinVal = (1.0f-fract)*a + fract*b; + + /* Return the output value */ + return (sinVal); +} + +/** + * @} end of sin group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_sin_q15.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_sin_q15.c new file mode 100644 index 0000000..9eecaa9 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_sin_q15.c @@ -0,0 +1,76 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_sin_q15.c + * Description: Fast sine calculation for Q15 values + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include "arm_common_tables.h" + +/** + * @ingroup groupFastMath + */ + + /** + * @addtogroup sin + * @{ + */ + +/** + * @brief Fast approximation to the trigonometric sine function for Q15 data. + * @param[in] x Scaled input value in radians. + * @return sin(x). + * + * The Q15 input value is in the range [0 +0.9999] and is mapped to a radian value in the range [0 2*pi). + */ + +q15_t arm_sin_q15( + q15_t x) +{ + q15_t sinVal; /* Temporary variables for input, output */ + int32_t index; /* Index variables */ + q15_t a, b; /* Four nearest output values */ + q15_t fract; /* Temporary values for fractional values */ + + /* Calculate the nearest index */ + index = (uint32_t)x >> FAST_MATH_Q15_SHIFT; + + /* Calculation of fractional value */ + fract = (x - (index << FAST_MATH_Q15_SHIFT)) << 9; + + /* Read two nearest values of input value from the sin table */ + a = sinTable_q15[index]; + b = sinTable_q15[index+1]; + + /* Linear interpolation process */ + sinVal = (q31_t)(0x8000-fract)*a >> 16; + sinVal = (q15_t)((((q31_t)sinVal << 16) + ((q31_t)fract*b)) >> 16); + + return sinVal << 1; +} + +/** + * @} end of sin group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_sin_q31.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_sin_q31.c new file mode 100644 index 0000000..2119016 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_sin_q31.c @@ -0,0 +1,75 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_sin_q31.c + * Description: Fast sine calculation for Q31 values + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include "arm_common_tables.h" + +/** + * @ingroup groupFastMath + */ + + /** + * @addtogroup sin + * @{ + */ + +/** + * @brief Fast approximation to the trigonometric sine function for Q31 data. + * @param[in] x Scaled input value in radians. + * @return sin(x). + * + * The Q31 input value is in the range [0 +0.9999] and is mapped to a radian value in the range [0 2*pi). */ + +q31_t arm_sin_q31( + q31_t x) +{ + q31_t sinVal; /* Temporary variables for input, output */ + int32_t index; /* Index variables */ + q31_t a, b; /* Four nearest output values */ + q31_t fract; /* Temporary values for fractional values */ + + /* Calculate the nearest index */ + index = (uint32_t)x >> FAST_MATH_Q31_SHIFT; + + /* Calculation of fractional value */ + fract = (x - (index << FAST_MATH_Q31_SHIFT)) << 9; + + /* Read two nearest values of input value from the sin table */ + a = sinTable_q31[index]; + b = sinTable_q31[index+1]; + + /* Linear interpolation process */ + sinVal = (q63_t)(0x80000000-fract)*a >> 32; + sinVal = (q31_t)((((q63_t)sinVal << 32) + ((q63_t)fract*b)) >> 32); + + return sinVal << 1; +} + +/** + * @} end of sin group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_sqrt_q15.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_sqrt_q15.c new file mode 100644 index 0000000..83e4ddd --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_sqrt_q15.c @@ -0,0 +1,144 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_sqrt_q15.c + * Description: Q15 square root function + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include "arm_common_tables.h" + + +/** + * @ingroup groupFastMath + */ + +/** + * @addtogroup SQRT + * @{ + */ + + /** + * @brief Q15 square root function. + * @param[in] in input value. The range of the input value is [0 +1) or 0x0000 to 0x7FFF. + * @param[out] *pOut square root of input value. + * @return The function returns ARM_MATH_SUCCESS if the input value is positive + * and ARM_MATH_ARGUMENT_ERROR if the input is negative. For + * negative inputs, the function returns *pOut = 0. + */ + +arm_status arm_sqrt_q15( + q15_t in, + q15_t * pOut) +{ + q15_t number, temp1, var1, signBits1, half; + q31_t bits_val1; + float32_t temp_float1; + union + { + q31_t fracval; + float32_t floatval; + } tempconv; + + number = in; + + /* If the input is a positive number then compute the signBits. */ + if (number > 0) + { + signBits1 = __CLZ(number) - 17; + + /* Shift by the number of signBits1 */ + if ((signBits1 % 2) == 0) + { + number = number << signBits1; + } + else + { + number = number << (signBits1 - 1); + } + + /* Calculate half value of the number */ + half = number >> 1; + /* Store the number for later use */ + temp1 = number; + + /* Convert to float */ + temp_float1 = number * 3.051757812500000e-005f; + /*Store as integer */ + tempconv.floatval = temp_float1; + bits_val1 = tempconv.fracval; + /* Subtract the shifted value from the magic number to give intial guess */ + bits_val1 = 0x5f3759df - (bits_val1 >> 1); /* gives initial guess */ + /* Store as float */ + tempconv.fracval = bits_val1; + temp_float1 = tempconv.floatval; + /* Convert to integer format */ + var1 = (q31_t) (temp_float1 * 16384); + + /* 1st iteration */ + var1 = ((q15_t) ((q31_t) var1 * (0x3000 - + ((q15_t) + ((((q15_t) + (((q31_t) var1 * var1) >> 15)) * + (q31_t) half) >> 15))) >> 15)) << 2; + /* 2nd iteration */ + var1 = ((q15_t) ((q31_t) var1 * (0x3000 - + ((q15_t) + ((((q15_t) + (((q31_t) var1 * var1) >> 15)) * + (q31_t) half) >> 15))) >> 15)) << 2; + /* 3rd iteration */ + var1 = ((q15_t) ((q31_t) var1 * (0x3000 - + ((q15_t) + ((((q15_t) + (((q31_t) var1 * var1) >> 15)) * + (q31_t) half) >> 15))) >> 15)) << 2; + + /* Multiply the inverse square root with the original value */ + var1 = ((q15_t) (((q31_t) temp1 * var1) >> 15)) << 1; + + /* Shift the output down accordingly */ + if ((signBits1 % 2) == 0) + { + var1 = var1 >> (signBits1 / 2); + } + else + { + var1 = var1 >> ((signBits1 - 1) / 2); + } + *pOut = var1; + + return (ARM_MATH_SUCCESS); + } + /* If the number is a negative number then store zero as its square root value */ + else + { + *pOut = 0; + return (ARM_MATH_ARGUMENT_ERROR); + } +} + +/** + * @} end of SQRT group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_sqrt_q31.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_sqrt_q31.c new file mode 100644 index 0000000..de8c35f --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_sqrt_q31.c @@ -0,0 +1,142 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_sqrt_q31.c + * Description: Q31 square root function + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include "arm_common_tables.h" + +/** + * @ingroup groupFastMath + */ + +/** + * @addtogroup SQRT + * @{ + */ + +/** + * @brief Q31 square root function. + * @param[in] in input value. The range of the input value is [0 +1) or 0x00000000 to 0x7FFFFFFF. + * @param[out] *pOut square root of input value. + * @return The function returns ARM_MATH_SUCCESS if the input value is positive + * and ARM_MATH_ARGUMENT_ERROR if the input is negative. For + * negative inputs, the function returns *pOut = 0. + */ + +arm_status arm_sqrt_q31( + q31_t in, + q31_t * pOut) +{ + q31_t number, temp1, bits_val1, var1, signBits1, half; + float32_t temp_float1; + union + { + q31_t fracval; + float32_t floatval; + } tempconv; + + number = in; + + /* If the input is a positive number then compute the signBits. */ + if (number > 0) + { + signBits1 = __CLZ(number) - 1; + + /* Shift by the number of signBits1 */ + if ((signBits1 % 2) == 0) + { + number = number << signBits1; + } + else + { + number = number << (signBits1 - 1); + } + + /* Calculate half value of the number */ + half = number >> 1; + /* Store the number for later use */ + temp1 = number; + + /*Convert to float */ + temp_float1 = number * 4.6566128731e-010f; + /*Store as integer */ + tempconv.floatval = temp_float1; + bits_val1 = tempconv.fracval; + /* Subtract the shifted value from the magic number to give intial guess */ + bits_val1 = 0x5f3759df - (bits_val1 >> 1); /* gives initial guess */ + /* Store as float */ + tempconv.fracval = bits_val1; + temp_float1 = tempconv.floatval; + /* Convert to integer format */ + var1 = (q31_t) (temp_float1 * 1073741824); + + /* 1st iteration */ + var1 = ((q31_t) ((q63_t) var1 * (0x30000000 - + ((q31_t) + ((((q31_t) + (((q63_t) var1 * var1) >> 31)) * + (q63_t) half) >> 31))) >> 31)) << 2; + /* 2nd iteration */ + var1 = ((q31_t) ((q63_t) var1 * (0x30000000 - + ((q31_t) + ((((q31_t) + (((q63_t) var1 * var1) >> 31)) * + (q63_t) half) >> 31))) >> 31)) << 2; + /* 3rd iteration */ + var1 = ((q31_t) ((q63_t) var1 * (0x30000000 - + ((q31_t) + ((((q31_t) + (((q63_t) var1 * var1) >> 31)) * + (q63_t) half) >> 31))) >> 31)) << 2; + + /* Multiply the inverse square root with the original value */ + var1 = ((q31_t) (((q63_t) temp1 * var1) >> 31)) << 1; + + /* Shift the output down accordingly */ + if ((signBits1 % 2) == 0) + { + var1 = var1 >> (signBits1 / 2); + } + else + { + var1 = var1 >> ((signBits1 - 1) / 2); + } + *pOut = var1; + + return (ARM_MATH_SUCCESS); + } + /* If the number is a negative number then store zero as its square root value */ + else + { + *pOut = 0; + return (ARM_MATH_ARGUMENT_ERROR); + } +} + +/** + * @} end of SQRT group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_32x64_init_q31.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_32x64_init_q31.c new file mode 100644 index 0000000..8a29213 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_32x64_init_q31.c @@ -0,0 +1,98 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_biquad_cascade_df1_32x64_init_q31.c + * Description: High precision Q31 Biquad cascade filter initialization function + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupFilters + */ + +/** + * @addtogroup BiquadCascadeDF1_32x64 + * @{ + */ + +/** + * @details + * + * @param[in,out] *S points to an instance of the high precision Q31 Biquad cascade filter structure. + * @param[in] numStages number of 2nd order stages in the filter. + * @param[in] *pCoeffs points to the filter coefficients. + * @param[in] *pState points to the state buffer. + * @param[in] postShift Shift to be applied after the accumulator. Varies according to the coefficients format. + * @return none + * + * Coefficient and State Ordering: + * + * \par + * The coefficients are stored in the array pCoeffs in the following order: + *
+ *     {b10, b11, b12, a11, a12, b20, b21, b22, a21, a22, ...}
+ * 
+ * where b1x and a1x are the coefficients for the first stage, + * b2x and a2x are the coefficients for the second stage, + * and so on. The pCoeffs array contains a total of 5*numStages values. + * + * \par + * The pState points to state variables array and size of each state variable is 1.63 format. + * Each Biquad stage has 4 state variables x[n-1], x[n-2], y[n-1], and y[n-2]. + * The state variables are arranged in the state array as: + *
+ *     {x[n-1], x[n-2], y[n-1], y[n-2]}
+ * 
+ * The 4 state variables for stage 1 are first, then the 4 state variables for stage 2, and so on. + * The state array has a total length of 4*numStages values. + * The state variables are updated after each block of data is processed; the coefficients are untouched. + */ + +void arm_biquad_cas_df1_32x64_init_q31( + arm_biquad_cas_df1_32x64_ins_q31 * S, + uint8_t numStages, + q31_t * pCoeffs, + q63_t * pState, + uint8_t postShift) +{ + /* Assign filter stages */ + S->numStages = numStages; + + /* Assign postShift to be applied to the output */ + S->postShift = postShift; + + /* Assign coefficient pointer */ + S->pCoeffs = pCoeffs; + + /* Clear state buffer and size is always 4 * numStages */ + memset(pState, 0, (4U * (uint32_t) numStages) * sizeof(q63_t)); + + /* Assign state pointer */ + S->pState = pState; +} + +/** + * @} end of BiquadCascadeDF1_32x64 group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_32x64_q31.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_32x64_q31.c new file mode 100644 index 0000000..d241f76 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_32x64_q31.c @@ -0,0 +1,549 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_biquad_cascade_df1_32x64_q31.c + * Description: High precision Q31 Biquad cascade filter processing function + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupFilters + */ + +/** + * @defgroup BiquadCascadeDF1_32x64 High Precision Q31 Biquad Cascade Filter + * + * This function implements a high precision Biquad cascade filter which operates on + * Q31 data values. The filter coefficients are in 1.31 format and the state variables + * are in 1.63 format. The double precision state variables reduce quantization noise + * in the filter and provide a cleaner output. + * These filters are particularly useful when implementing filters in which the + * singularities are close to the unit circle. This is common for low pass or high + * pass filters with very low cutoff frequencies. + * + * The function operates on blocks of input and output data + * and each call to the function processes blockSize samples through + * the filter. pSrc and pDst points to input and output arrays + * containing blockSize Q31 values. + * + * \par Algorithm + * Each Biquad stage implements a second order filter using the difference equation: + *
+ *     y[n] = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]
+ * 
+ * A Direct Form I algorithm is used with 5 coefficients and 4 state variables per stage. + * \image html Biquad.gif "Single Biquad filter stage" + * Coefficients b0, b1, and b2 multiply the input signal x[n] and are referred to as the feedforward coefficients. + * Coefficients a1 and a2 multiply the output signal y[n] and are referred to as the feedback coefficients. + * Pay careful attention to the sign of the feedback coefficients. + * Some design tools use the difference equation + *
+ *     y[n] = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] - a1 * y[n-1] - a2 * y[n-2]
+ * 
+ * In this case the feedback coefficients a1 and a2 must be negated when used with the CMSIS DSP Library. + * + * \par + * Higher order filters are realized as a cascade of second order sections. + * numStages refers to the number of second order stages used. + * For example, an 8th order filter would be realized with numStages=4 second order stages. + * \image html BiquadCascade.gif "8th order filter using a cascade of Biquad stages" + * A 9th order filter would be realized with numStages=5 second order stages with the coefficients for one of the stages configured as a first order filter (b2=0 and a2=0). + * + * \par + * The pState points to state variables array . + * Each Biquad stage has 4 state variables x[n-1], x[n-2], y[n-1], and y[n-2] and each state variable in 1.63 format to improve precision. + * The state variables are arranged in the array as: + *
+ *     {x[n-1], x[n-2], y[n-1], y[n-2]}
+ * 
+ * + * \par + * The 4 state variables for stage 1 are first, then the 4 state variables for stage 2, and so on. + * The state array has a total length of 4*numStages values of data in 1.63 format. + * The state variables are updated after each block of data is processed; the coefficients are untouched. + * + * \par Instance Structure + * The coefficients and state variables for a filter are stored together in an instance data structure. + * A separate instance structure must be defined for each filter. + * Coefficient arrays may be shared among several instances while state variable arrays cannot be shared. + * + * \par Init Function + * There is also an associated initialization function which performs the following operations: + * - Sets the values of the internal structure fields. + * - Zeros out the values in the state buffer. + * To do this manually without calling the init function, assign the follow subfields of the instance structure: + * numStages, pCoeffs, postShift, pState. Also set all of the values in pState to zero. + * + * \par + * Use of the initialization function is optional. + * However, if the initialization function is used, then the instance structure cannot be placed into a const data section. + * To place an instance structure into a const data section, the instance structure must be manually initialized. + * Set the values in the state buffer to zeros before static initialization. + * For example, to statically initialize the filter instance structure use + *
+ *     arm_biquad_cas_df1_32x64_ins_q31 S1 = {numStages, pState, pCoeffs, postShift};
+ * 
+ * where numStages is the number of Biquad stages in the filter; pState is the address of the state buffer; + * pCoeffs is the address of the coefficient buffer; postShift shift to be applied which is described in detail below. + * \par Fixed-Point Behavior + * Care must be taken while using Biquad Cascade 32x64 filter function. + * Following issues must be considered: + * - Scaling of coefficients + * - Filter gain + * - Overflow and saturation + * + * \par + * Filter coefficients are represented as fractional values and + * restricted to lie in the range [-1 +1). + * The processing function has an additional scaling parameter postShift + * which allows the filter coefficients to exceed the range [+1 -1). + * At the output of the filter's accumulator is a shift register which shifts the result by postShift bits. + * \image html BiquadPostshift.gif "Fixed-point Biquad with shift by postShift bits after accumulator" + * This essentially scales the filter coefficients by 2^postShift. + * For example, to realize the coefficients + *
+ *    {1.5, -0.8, 1.2, 1.6, -0.9}
+ * 
+ * set the Coefficient array to: + *
+ *    {0.75, -0.4, 0.6, 0.8, -0.45}
+ * 
+ * and set postShift=1 + * + * \par + * The second thing to keep in mind is the gain through the filter. + * The frequency response of a Biquad filter is a function of its coefficients. + * It is possible for the gain through the filter to exceed 1.0 meaning that the filter increases the amplitude of certain frequencies. + * This means that an input signal with amplitude < 1.0 may result in an output > 1.0 and these are saturated or overflowed based on the implementation of the filter. + * To avoid this behavior the filter needs to be scaled down such that its peak gain < 1.0 or the input signal must be scaled down so that the combination of input and filter are never overflowed. + * + * \par + * The third item to consider is the overflow and saturation behavior of the fixed-point Q31 version. + * This is described in the function specific documentation below. + */ + +/** + * @addtogroup BiquadCascadeDF1_32x64 + * @{ + */ + +/** + * @details + + * @param[in] *S points to an instance of the high precision Q31 Biquad cascade filter. + * @param[in] *pSrc points to the block of input data. + * @param[out] *pDst points to the block of output data. + * @param[in] blockSize number of samples to process. + * @return none. + * + * \par + * The function is implemented using an internal 64-bit accumulator. + * The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit. + * Thus, if the accumulator result overflows it wraps around rather than clip. + * In order to avoid overflows completely the input signal must be scaled down by 2 bits and lie in the range [-0.25 +0.25). + * After all 5 multiply-accumulates are performed, the 2.62 accumulator is shifted by postShift bits and the result truncated to + * 1.31 format by discarding the low 32 bits. + * + * \par + * Two related functions are provided in the CMSIS DSP library. + * arm_biquad_cascade_df1_q31() implements a Biquad cascade with 32-bit coefficients and state variables with a Q63 accumulator. + * arm_biquad_cascade_df1_fast_q31() implements a Biquad cascade with 32-bit coefficients and state variables with a Q31 accumulator. + */ + +void arm_biquad_cas_df1_32x64_q31( + const arm_biquad_cas_df1_32x64_ins_q31 * S, + q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize) +{ + q31_t *pIn = pSrc; /* input pointer initialization */ + q31_t *pOut = pDst; /* output pointer initialization */ + q63_t *pState = S->pState; /* state pointer initialization */ + q31_t *pCoeffs = S->pCoeffs; /* coeff pointer initialization */ + q63_t acc; /* accumulator */ + q31_t Xn1, Xn2; /* Input Filter state variables */ + q63_t Yn1, Yn2; /* Output Filter state variables */ + q31_t b0, b1, b2, a1, a2; /* Filter coefficients */ + q31_t Xn; /* temporary input */ + int32_t shift = (int32_t) S->postShift + 1; /* Shift to be applied to the output */ + uint32_t sample, stage = S->numStages; /* loop counters */ + q31_t acc_l, acc_h; /* temporary output */ + uint32_t uShift = ((uint32_t) S->postShift + 1U); + uint32_t lShift = 32U - uShift; /* Shift to be applied to the output */ + + +#if defined (ARM_MATH_DSP) + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + do + { + /* Reading the coefficients */ + b0 = *pCoeffs++; + b1 = *pCoeffs++; + b2 = *pCoeffs++; + a1 = *pCoeffs++; + a2 = *pCoeffs++; + + /* Reading the state values */ + Xn1 = (q31_t) (pState[0]); + Xn2 = (q31_t) (pState[1]); + Yn1 = pState[2]; + Yn2 = pState[3]; + + /* Apply loop unrolling and compute 4 output values simultaneously. */ + /* The variable acc hold output value that is being computed and + * stored in the destination buffer + * acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] + */ + + sample = blockSize >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (sample > 0U) + { + /* Read the input */ + Xn = *pIn++; + + /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */ + + /* acc = b0 * x[n] */ + acc = (q63_t) Xn *b0; + + /* acc += b1 * x[n-1] */ + acc += (q63_t) Xn1 *b1; + + /* acc += b[2] * x[n-2] */ + acc += (q63_t) Xn2 *b2; + + /* acc += a1 * y[n-1] */ + acc += mult32x64(Yn1, a1); + + /* acc += a2 * y[n-2] */ + acc += mult32x64(Yn2, a2); + + /* The result is converted to 1.63 , Yn2 variable is reused */ + Yn2 = acc << shift; + + /* Calc lower part of acc */ + acc_l = acc & 0xffffffff; + + /* Calc upper part of acc */ + acc_h = (acc >> 32) & 0xffffffff; + + /* Apply shift for lower part of acc and upper part of acc */ + acc_h = (uint32_t) acc_l >> lShift | acc_h << uShift; + + /* Store the output in the destination buffer in 1.31 format. */ + *pOut = acc_h; + + /* Read the second input into Xn2, to reuse the value */ + Xn2 = *pIn++; + + /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */ + + /* acc += b1 * x[n-1] */ + acc = (q63_t) Xn *b1; + + /* acc = b0 * x[n] */ + acc += (q63_t) Xn2 *b0; + + /* acc += b[2] * x[n-2] */ + acc += (q63_t) Xn1 *b2; + + /* acc += a1 * y[n-1] */ + acc += mult32x64(Yn2, a1); + + /* acc += a2 * y[n-2] */ + acc += mult32x64(Yn1, a2); + + /* The result is converted to 1.63, Yn1 variable is reused */ + Yn1 = acc << shift; + + /* Calc lower part of acc */ + acc_l = acc & 0xffffffff; + + /* Calc upper part of acc */ + acc_h = (acc >> 32) & 0xffffffff; + + /* Apply shift for lower part of acc and upper part of acc */ + acc_h = (uint32_t) acc_l >> lShift | acc_h << uShift; + + /* Read the third input into Xn1, to reuse the value */ + Xn1 = *pIn++; + + /* The result is converted to 1.31 */ + /* Store the output in the destination buffer. */ + *(pOut + 1U) = acc_h; + + /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */ + + /* acc = b0 * x[n] */ + acc = (q63_t) Xn1 *b0; + + /* acc += b1 * x[n-1] */ + acc += (q63_t) Xn2 *b1; + + /* acc += b[2] * x[n-2] */ + acc += (q63_t) Xn *b2; + + /* acc += a1 * y[n-1] */ + acc += mult32x64(Yn1, a1); + + /* acc += a2 * y[n-2] */ + acc += mult32x64(Yn2, a2); + + /* The result is converted to 1.63, Yn2 variable is reused */ + Yn2 = acc << shift; + + /* Calc lower part of acc */ + acc_l = acc & 0xffffffff; + + /* Calc upper part of acc */ + acc_h = (acc >> 32) & 0xffffffff; + + /* Apply shift for lower part of acc and upper part of acc */ + acc_h = (uint32_t) acc_l >> lShift | acc_h << uShift; + + /* Store the output in the destination buffer in 1.31 format. */ + *(pOut + 2U) = acc_h; + + /* Read the fourth input into Xn, to reuse the value */ + Xn = *pIn++; + + /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */ + /* acc = b0 * x[n] */ + acc = (q63_t) Xn *b0; + + /* acc += b1 * x[n-1] */ + acc += (q63_t) Xn1 *b1; + + /* acc += b[2] * x[n-2] */ + acc += (q63_t) Xn2 *b2; + + /* acc += a1 * y[n-1] */ + acc += mult32x64(Yn2, a1); + + /* acc += a2 * y[n-2] */ + acc += mult32x64(Yn1, a2); + + /* The result is converted to 1.63, Yn1 variable is reused */ + Yn1 = acc << shift; + + /* Calc lower part of acc */ + acc_l = acc & 0xffffffff; + + /* Calc upper part of acc */ + acc_h = (acc >> 32) & 0xffffffff; + + /* Apply shift for lower part of acc and upper part of acc */ + acc_h = (uint32_t) acc_l >> lShift | acc_h << uShift; + + /* Store the output in the destination buffer in 1.31 format. */ + *(pOut + 3U) = acc_h; + + /* Every time after the output is computed state should be updated. */ + /* The states should be updated as: */ + /* Xn2 = Xn1 */ + /* Xn1 = Xn */ + /* Yn2 = Yn1 */ + /* Yn1 = acc */ + Xn2 = Xn1; + Xn1 = Xn; + + /* update output pointer */ + pOut += 4U; + + /* decrement the loop counter */ + sample--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + sample = (blockSize & 0x3U); + + while (sample > 0U) + { + /* Read the input */ + Xn = *pIn++; + + /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */ + + /* acc = b0 * x[n] */ + acc = (q63_t) Xn *b0; + /* acc += b1 * x[n-1] */ + acc += (q63_t) Xn1 *b1; + /* acc += b[2] * x[n-2] */ + acc += (q63_t) Xn2 *b2; + /* acc += a1 * y[n-1] */ + acc += mult32x64(Yn1, a1); + /* acc += a2 * y[n-2] */ + acc += mult32x64(Yn2, a2); + + /* Every time after the output is computed state should be updated. */ + /* The states should be updated as: */ + /* Xn2 = Xn1 */ + /* Xn1 = Xn */ + /* Yn2 = Yn1 */ + /* Yn1 = acc */ + Xn2 = Xn1; + Xn1 = Xn; + Yn2 = Yn1; + /* The result is converted to 1.63, Yn1 variable is reused */ + Yn1 = acc << shift; + + /* Calc lower part of acc */ + acc_l = acc & 0xffffffff; + + /* Calc upper part of acc */ + acc_h = (acc >> 32) & 0xffffffff; + + /* Apply shift for lower part of acc and upper part of acc */ + acc_h = (uint32_t) acc_l >> lShift | acc_h << uShift; + + /* Store the output in the destination buffer in 1.31 format. */ + *pOut++ = acc_h; + /* Yn1 = acc << shift; */ + + /* Store the output in the destination buffer in 1.31 format. */ +/* *pOut++ = (q31_t) (acc >> (32 - shift)); */ + + /* decrement the loop counter */ + sample--; + } + + /* The first stage output is given as input to the second stage. */ + pIn = pDst; + + /* Reset to destination buffer working pointer */ + pOut = pDst; + + /* Store the updated state variables back into the pState array */ + /* Store the updated state variables back into the pState array */ + *pState++ = (q63_t) Xn1; + *pState++ = (q63_t) Xn2; + *pState++ = Yn1; + *pState++ = Yn2; + + } while (--stage); + +#else + + /* Run the below code for Cortex-M0 */ + + do + { + /* Reading the coefficients */ + b0 = *pCoeffs++; + b1 = *pCoeffs++; + b2 = *pCoeffs++; + a1 = *pCoeffs++; + a2 = *pCoeffs++; + + /* Reading the state values */ + Xn1 = pState[0]; + Xn2 = pState[1]; + Yn1 = pState[2]; + Yn2 = pState[3]; + + /* The variable acc hold output value that is being computed and + * stored in the destination buffer + * acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] + */ + + sample = blockSize; + + while (sample > 0U) + { + /* Read the input */ + Xn = *pIn++; + + /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */ + /* acc = b0 * x[n] */ + acc = (q63_t) Xn *b0; + /* acc += b1 * x[n-1] */ + acc += (q63_t) Xn1 *b1; + /* acc += b[2] * x[n-2] */ + acc += (q63_t) Xn2 *b2; + /* acc += a1 * y[n-1] */ + acc += mult32x64(Yn1, a1); + /* acc += a2 * y[n-2] */ + acc += mult32x64(Yn2, a2); + + /* Every time after the output is computed state should be updated. */ + /* The states should be updated as: */ + /* Xn2 = Xn1 */ + /* Xn1 = Xn */ + /* Yn2 = Yn1 */ + /* Yn1 = acc */ + Xn2 = Xn1; + Xn1 = Xn; + Yn2 = Yn1; + + /* The result is converted to 1.63, Yn1 variable is reused */ + Yn1 = acc << shift; + + /* Calc lower part of acc */ + acc_l = acc & 0xffffffff; + + /* Calc upper part of acc */ + acc_h = (acc >> 32) & 0xffffffff; + + /* Apply shift for lower part of acc and upper part of acc */ + acc_h = (uint32_t) acc_l >> lShift | acc_h << uShift; + + /* Store the output in the destination buffer in 1.31 format. */ + *pOut++ = acc_h; + + /* Yn1 = acc << shift; */ + + /* Store the output in the destination buffer in 1.31 format. */ + /* *pOut++ = (q31_t) (acc >> (32 - shift)); */ + + /* decrement the loop counter */ + sample--; + } + + /* The first stage output is given as input to the second stage. */ + pIn = pDst; + + /* Reset to destination buffer working pointer */ + pOut = pDst; + + /* Store the updated state variables back into the pState array */ + *pState++ = (q63_t) Xn1; + *pState++ = (q63_t) Xn2; + *pState++ = Yn1; + *pState++ = Yn2; + + } while (--stage); + +#endif /* #if defined (ARM_MATH_DSP) */ +} + + /** + * @} end of BiquadCascadeDF1_32x64 group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_f32.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_f32.c new file mode 100644 index 0000000..658e395 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_f32.c @@ -0,0 +1,412 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_biquad_cascade_df1_f32.c + * Description: Processing function for the floating-point Biquad cascade DirectFormI(DF1) filter + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupFilters + */ + +/** + * @defgroup BiquadCascadeDF1 Biquad Cascade IIR Filters Using Direct Form I Structure + * + * This set of functions implements arbitrary order recursive (IIR) filters. + * The filters are implemented as a cascade of second order Biquad sections. + * The functions support Q15, Q31 and floating-point data types. + * Fast version of Q15 and Q31 also supported on CortexM4 and Cortex-M3. + * + * The functions operate on blocks of input and output data and each call to the function + * processes blockSize samples through the filter. + * pSrc points to the array of input data and + * pDst points to the array of output data. + * Both arrays contain blockSize values. + * + * \par Algorithm + * Each Biquad stage implements a second order filter using the difference equation: + *
+ *     y[n] = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2]
+ * 
+ * A Direct Form I algorithm is used with 5 coefficients and 4 state variables per stage. + * \image html Biquad.gif "Single Biquad filter stage" + * Coefficients b0, b1 and b2 multiply the input signal x[n] and are referred to as the feedforward coefficients. + * Coefficients a1 and a2 multiply the output signal y[n] and are referred to as the feedback coefficients. + * Pay careful attention to the sign of the feedback coefficients. + * Some design tools use the difference equation + *
+ *     y[n] = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] - a1 * y[n-1] - a2 * y[n-2]
+ * 
+ * In this case the feedback coefficients a1 and a2 must be negated when used with the CMSIS DSP Library. + * + * \par + * Higher order filters are realized as a cascade of second order sections. + * numStages refers to the number of second order stages used. + * For example, an 8th order filter would be realized with numStages=4 second order stages. + * \image html BiquadCascade.gif "8th order filter using a cascade of Biquad stages" + * A 9th order filter would be realized with numStages=5 second order stages with the coefficients for one of the stages configured as a first order filter (b2=0 and a2=0). + * + * \par + * The pState points to state variables array. + * Each Biquad stage has 4 state variables x[n-1], x[n-2], y[n-1], and y[n-2]. + * The state variables are arranged in the pState array as: + *
+ *     {x[n-1], x[n-2], y[n-1], y[n-2]}
+ * 
+ * + * \par + * The 4 state variables for stage 1 are first, then the 4 state variables for stage 2, and so on. + * The state array has a total length of 4*numStages values. + * The state variables are updated after each block of data is processed, the coefficients are untouched. + * + * \par Instance Structure + * The coefficients and state variables for a filter are stored together in an instance data structure. + * A separate instance structure must be defined for each filter. + * Coefficient arrays may be shared among several instances while state variable arrays cannot be shared. + * There are separate instance structure declarations for each of the 3 supported data types. + * + * \par Init Functions + * There is also an associated initialization function for each data type. + * The initialization function performs following operations: + * - Sets the values of the internal structure fields. + * - Zeros out the values in the state buffer. + * To do this manually without calling the init function, assign the follow subfields of the instance structure: + * numStages, pCoeffs, pState. Also set all of the values in pState to zero. + * + * \par + * Use of the initialization function is optional. + * However, if the initialization function is used, then the instance structure cannot be placed into a const data section. + * To place an instance structure into a const data section, the instance structure must be manually initialized. + * Set the values in the state buffer to zeros before static initialization. + * The code below statically initializes each of the 3 different data type filter instance structures + *
+ *     arm_biquad_casd_df1_inst_f32 S1 = {numStages, pState, pCoeffs};
+ *     arm_biquad_casd_df1_inst_q15 S2 = {numStages, pState, pCoeffs, postShift};
+ *     arm_biquad_casd_df1_inst_q31 S3 = {numStages, pState, pCoeffs, postShift};
+ * 
+ * where numStages is the number of Biquad stages in the filter; pState is the address of the state buffer; + * pCoeffs is the address of the coefficient buffer; postShift shift to be applied. + * + * \par Fixed-Point Behavior + * Care must be taken when using the Q15 and Q31 versions of the Biquad Cascade filter functions. + * Following issues must be considered: + * - Scaling of coefficients + * - Filter gain + * - Overflow and saturation + * + * \par + * Scaling of coefficients: + * Filter coefficients are represented as fractional values and + * coefficients are restricted to lie in the range [-1 +1). + * The fixed-point functions have an additional scaling parameter postShift + * which allow the filter coefficients to exceed the range [+1 -1). + * At the output of the filter's accumulator is a shift register which shifts the result by postShift bits. + * \image html BiquadPostshift.gif "Fixed-point Biquad with shift by postShift bits after accumulator" + * This essentially scales the filter coefficients by 2^postShift. + * For example, to realize the coefficients + *
+ *    {1.5, -0.8, 1.2, 1.6, -0.9}
+ * 
+ * set the pCoeffs array to: + *
+ *    {0.75, -0.4, 0.6, 0.8, -0.45}
+ * 
+ * and set postShift=1 + * + * \par + * Filter gain: + * The frequency response of a Biquad filter is a function of its coefficients. + * It is possible for the gain through the filter to exceed 1.0 meaning that the filter increases the amplitude of certain frequencies. + * This means that an input signal with amplitude < 1.0 may result in an output > 1.0 and these are saturated or overflowed based on the implementation of the filter. + * To avoid this behavior the filter needs to be scaled down such that its peak gain < 1.0 or the input signal must be scaled down so that the combination of input and filter are never overflowed. + * + * \par + * Overflow and saturation: + * For Q15 and Q31 versions, it is described separately as part of the function specific documentation below. + */ + +/** + * @addtogroup BiquadCascadeDF1 + * @{ + */ + +/** + * @param[in] *S points to an instance of the floating-point Biquad cascade structure. + * @param[in] *pSrc points to the block of input data. + * @param[out] *pDst points to the block of output data. + * @param[in] blockSize number of samples to process per call. + * @return none. + * + */ + +void arm_biquad_cascade_df1_f32( + const arm_biquad_casd_df1_inst_f32 * S, + float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize) +{ + float32_t *pIn = pSrc; /* source pointer */ + float32_t *pOut = pDst; /* destination pointer */ + float32_t *pState = S->pState; /* pState pointer */ + float32_t *pCoeffs = S->pCoeffs; /* coefficient pointer */ + float32_t acc; /* Simulates the accumulator */ + float32_t b0, b1, b2, a1, a2; /* Filter coefficients */ + float32_t Xn1, Xn2, Yn1, Yn2; /* Filter pState variables */ + float32_t Xn; /* temporary input */ + uint32_t sample, stage = S->numStages; /* loop counters */ + + +#if defined (ARM_MATH_DSP) + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + do + { + /* Reading the coefficients */ + b0 = *pCoeffs++; + b1 = *pCoeffs++; + b2 = *pCoeffs++; + a1 = *pCoeffs++; + a2 = *pCoeffs++; + + /* Reading the pState values */ + Xn1 = pState[0]; + Xn2 = pState[1]; + Yn1 = pState[2]; + Yn2 = pState[3]; + + /* Apply loop unrolling and compute 4 output values simultaneously. */ + /* The variable acc hold output values that are being computed: + * + * acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] + * acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] + * acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] + * acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] + */ + + sample = blockSize >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (sample > 0U) + { + /* Read the first input */ + Xn = *pIn++; + + /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */ + Yn2 = (b0 * Xn) + (b1 * Xn1) + (b2 * Xn2) + (a1 * Yn1) + (a2 * Yn2); + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = Yn2; + + /* Every time after the output is computed state should be updated. */ + /* The states should be updated as: */ + /* Xn2 = Xn1 */ + /* Xn1 = Xn */ + /* Yn2 = Yn1 */ + /* Yn1 = acc */ + + /* Read the second input */ + Xn2 = *pIn++; + + /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */ + Yn1 = (b0 * Xn2) + (b1 * Xn) + (b2 * Xn1) + (a1 * Yn2) + (a2 * Yn1); + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = Yn1; + + /* Every time after the output is computed state should be updated. */ + /* The states should be updated as: */ + /* Xn2 = Xn1 */ + /* Xn1 = Xn */ + /* Yn2 = Yn1 */ + /* Yn1 = acc */ + + /* Read the third input */ + Xn1 = *pIn++; + + /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */ + Yn2 = (b0 * Xn1) + (b1 * Xn2) + (b2 * Xn) + (a1 * Yn1) + (a2 * Yn2); + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = Yn2; + + /* Every time after the output is computed state should be updated. */ + /* The states should be updated as: */ + /* Xn2 = Xn1 */ + /* Xn1 = Xn */ + /* Yn2 = Yn1 */ + /* Yn1 = acc */ + + /* Read the forth input */ + Xn = *pIn++; + + /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */ + Yn1 = (b0 * Xn) + (b1 * Xn1) + (b2 * Xn2) + (a1 * Yn2) + (a2 * Yn1); + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = Yn1; + + /* Every time after the output is computed state should be updated. */ + /* The states should be updated as: */ + /* Xn2 = Xn1 */ + /* Xn1 = Xn */ + /* Yn2 = Yn1 */ + /* Yn1 = acc */ + Xn2 = Xn1; + Xn1 = Xn; + + /* decrement the loop counter */ + sample--; + + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + sample = blockSize & 0x3U; + + while (sample > 0U) + { + /* Read the input */ + Xn = *pIn++; + + /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */ + acc = (b0 * Xn) + (b1 * Xn1) + (b2 * Xn2) + (a1 * Yn1) + (a2 * Yn2); + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = acc; + + /* Every time after the output is computed state should be updated. */ + /* The states should be updated as: */ + /* Xn2 = Xn1 */ + /* Xn1 = Xn */ + /* Yn2 = Yn1 */ + /* Yn1 = acc */ + Xn2 = Xn1; + Xn1 = Xn; + Yn2 = Yn1; + Yn1 = acc; + + /* decrement the loop counter */ + sample--; + + } + + /* Store the updated state variables back into the pState array */ + *pState++ = Xn1; + *pState++ = Xn2; + *pState++ = Yn1; + *pState++ = Yn2; + + /* The first stage goes from the input buffer to the output buffer. */ + /* Subsequent numStages occur in-place in the output buffer */ + pIn = pDst; + + /* Reset the output pointer */ + pOut = pDst; + + /* decrement the loop counter */ + stage--; + + } while (stage > 0U); + +#else + + /* Run the below code for Cortex-M0 */ + + do + { + /* Reading the coefficients */ + b0 = *pCoeffs++; + b1 = *pCoeffs++; + b2 = *pCoeffs++; + a1 = *pCoeffs++; + a2 = *pCoeffs++; + + /* Reading the pState values */ + Xn1 = pState[0]; + Xn2 = pState[1]; + Yn1 = pState[2]; + Yn2 = pState[3]; + + /* The variables acc holds the output value that is computed: + * acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] + */ + + sample = blockSize; + + while (sample > 0U) + { + /* Read the input */ + Xn = *pIn++; + + /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */ + acc = (b0 * Xn) + (b1 * Xn1) + (b2 * Xn2) + (a1 * Yn1) + (a2 * Yn2); + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = acc; + + /* Every time after the output is computed state should be updated. */ + /* The states should be updated as: */ + /* Xn2 = Xn1 */ + /* Xn1 = Xn */ + /* Yn2 = Yn1 */ + /* Yn1 = acc */ + Xn2 = Xn1; + Xn1 = Xn; + Yn2 = Yn1; + Yn1 = acc; + + /* decrement the loop counter */ + sample--; + } + + /* Store the updated state variables back into the pState array */ + *pState++ = Xn1; + *pState++ = Xn2; + *pState++ = Yn1; + *pState++ = Yn2; + + /* The first stage goes from the input buffer to the output buffer. */ + /* Subsequent numStages occur in-place in the output buffer */ + pIn = pDst; + + /* Reset the output pointer */ + pOut = pDst; + + /* decrement the loop counter */ + stage--; + + } while (stage > 0U); + +#endif /* #if defined (ARM_MATH_DSP) */ + +} + + + /** + * @} end of BiquadCascadeDF1 group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_fast_q15.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_fast_q15.c new file mode 100644 index 0000000..2a08968 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_fast_q15.c @@ -0,0 +1,273 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_biquad_cascade_df1_fast_q15.c + * Description: Fast processing function for the Q15 Biquad cascade filter + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupFilters + */ + +/** + * @addtogroup BiquadCascadeDF1 + * @{ + */ + +/** + * @details + * @param[in] *S points to an instance of the Q15 Biquad cascade structure. + * @param[in] *pSrc points to the block of input data. + * @param[out] *pDst points to the block of output data. + * @param[in] blockSize number of samples to process per call. + * @return none. + * + * Scaling and Overflow Behavior: + * \par + * This fast version uses a 32-bit accumulator with 2.30 format. + * The accumulator maintains full precision of the intermediate multiplication results but provides only a single guard bit. + * Thus, if the accumulator result overflows it wraps around and distorts the result. + * In order to avoid overflows completely the input signal must be scaled down by two bits and lie in the range [-0.25 +0.25). + * The 2.30 accumulator is then shifted by postShift bits and the result truncated to 1.15 format by discarding the low 16 bits. + * + * \par + * Refer to the function arm_biquad_cascade_df1_q15() for a slower implementation of this function which uses 64-bit accumulation to avoid wrap around distortion. Both the slow and the fast versions use the same instance structure. + * Use the function arm_biquad_cascade_df1_init_q15() to initialize the filter structure. + * + */ + +void arm_biquad_cascade_df1_fast_q15( + const arm_biquad_casd_df1_inst_q15 * S, + q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize) +{ + q15_t *pIn = pSrc; /* Source pointer */ + q15_t *pOut = pDst; /* Destination pointer */ + q31_t in; /* Temporary variable to hold input value */ + q31_t out; /* Temporary variable to hold output value */ + q31_t b0; /* Temporary variable to hold bo value */ + q31_t b1, a1; /* Filter coefficients */ + q31_t state_in, state_out; /* Filter state variables */ + q31_t acc; /* Accumulator */ + int32_t shift = (int32_t) (15 - S->postShift); /* Post shift */ + q15_t *pState = S->pState; /* State pointer */ + q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + uint32_t sample, stage = S->numStages; /* Stage loop counter */ + + + + do + { + + /* Read the b0 and 0 coefficients using SIMD */ + b0 = *__SIMD32(pCoeffs)++; + + /* Read the b1 and b2 coefficients using SIMD */ + b1 = *__SIMD32(pCoeffs)++; + + /* Read the a1 and a2 coefficients using SIMD */ + a1 = *__SIMD32(pCoeffs)++; + + /* Read the input state values from the state buffer: x[n-1], x[n-2] */ + state_in = *__SIMD32(pState)++; + + /* Read the output state values from the state buffer: y[n-1], y[n-2] */ + state_out = *__SIMD32(pState)--; + + /* Apply loop unrolling and compute 2 output values simultaneously. */ + /* The variable acc hold output values that are being computed: + * + * acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] + * acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] + */ + sample = blockSize >> 1U; + + /* First part of the processing with loop unrolling. Compute 2 outputs at a time. + ** a second loop below computes the remaining 1 sample. */ + while (sample > 0U) + { + + /* Read the input */ + in = *__SIMD32(pIn)++; + + /* out = b0 * x[n] + 0 * 0 */ + out = __SMUAD(b0, in); + /* acc = b1 * x[n-1] + acc += b2 * x[n-2] + out */ + acc = __SMLAD(b1, state_in, out); + /* acc += a1 * y[n-1] + acc += a2 * y[n-2] */ + acc = __SMLAD(a1, state_out, acc); + + /* The result is converted from 3.29 to 1.31 and then saturation is applied */ + out = __SSAT((acc >> shift), 16); + + /* Every time after the output is computed state should be updated. */ + /* The states should be updated as: */ + /* Xn2 = Xn1 */ + /* Xn1 = Xn */ + /* Yn2 = Yn1 */ + /* Yn1 = acc */ + /* x[n-N], x[n-N-1] are packed together to make state_in of type q31 */ + /* y[n-N], y[n-N-1] are packed together to make state_out of type q31 */ + +#ifndef ARM_MATH_BIG_ENDIAN + + state_in = __PKHBT(in, state_in, 16); + state_out = __PKHBT(out, state_out, 16); + +#else + + state_in = __PKHBT(state_in >> 16, (in >> 16), 16); + state_out = __PKHBT(state_out >> 16, (out), 16); + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* out = b0 * x[n] + 0 * 0 */ + out = __SMUADX(b0, in); + /* acc0 = b1 * x[n-1] , acc0 += b2 * x[n-2] + out */ + acc = __SMLAD(b1, state_in, out); + /* acc += a1 * y[n-1] + acc += a2 * y[n-2] */ + acc = __SMLAD(a1, state_out, acc); + + /* The result is converted from 3.29 to 1.31 and then saturation is applied */ + out = __SSAT((acc >> shift), 16); + + + /* Store the output in the destination buffer. */ + +#ifndef ARM_MATH_BIG_ENDIAN + + *__SIMD32(pOut)++ = __PKHBT(state_out, out, 16); + +#else + + *__SIMD32(pOut)++ = __PKHBT(out, state_out >> 16, 16); + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* Every time after the output is computed state should be updated. */ + /* The states should be updated as: */ + /* Xn2 = Xn1 */ + /* Xn1 = Xn */ + /* Yn2 = Yn1 */ + /* Yn1 = acc */ + /* x[n-N], x[n-N-1] are packed together to make state_in of type q31 */ + /* y[n-N], y[n-N-1] are packed together to make state_out of type q31 */ + +#ifndef ARM_MATH_BIG_ENDIAN + + state_in = __PKHBT(in >> 16, state_in, 16); + state_out = __PKHBT(out, state_out, 16); + +#else + + state_in = __PKHBT(state_in >> 16, in, 16); + state_out = __PKHBT(state_out >> 16, out, 16); + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + + /* Decrement the loop counter */ + sample--; + + } + + /* If the blockSize is not a multiple of 2, compute any remaining output samples here. + ** No loop unrolling is used. */ + + if ((blockSize & 0x1U) != 0U) + { + /* Read the input */ + in = *pIn++; + + /* out = b0 * x[n] + 0 * 0 */ + +#ifndef ARM_MATH_BIG_ENDIAN + + out = __SMUAD(b0, in); + +#else + + out = __SMUADX(b0, in); + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* acc = b1 * x[n-1], acc += b2 * x[n-2] + out */ + acc = __SMLAD(b1, state_in, out); + /* acc += a1 * y[n-1] + acc += a2 * y[n-2] */ + acc = __SMLAD(a1, state_out, acc); + + /* The result is converted from 3.29 to 1.31 and then saturation is applied */ + out = __SSAT((acc >> shift), 16); + + /* Store the output in the destination buffer. */ + *pOut++ = (q15_t) out; + + /* Every time after the output is computed state should be updated. */ + /* The states should be updated as: */ + /* Xn2 = Xn1 */ + /* Xn1 = Xn */ + /* Yn2 = Yn1 */ + /* Yn1 = acc */ + /* x[n-N], x[n-N-1] are packed together to make state_in of type q31 */ + /* y[n-N], y[n-N-1] are packed together to make state_out of type q31 */ + +#ifndef ARM_MATH_BIG_ENDIAN + + state_in = __PKHBT(in, state_in, 16); + state_out = __PKHBT(out, state_out, 16); + +#else + + state_in = __PKHBT(state_in >> 16, in, 16); + state_out = __PKHBT(state_out >> 16, out, 16); + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + } + + /* The first stage goes from the input buffer to the output buffer. */ + /* Subsequent (numStages - 1) occur in-place in the output buffer */ + pIn = pDst; + + /* Reset the output pointer */ + pOut = pDst; + + /* Store the updated state variables back into the state array */ + *__SIMD32(pState)++ = state_in; + *__SIMD32(pState)++ = state_out; + + + /* Decrement the loop counter */ + stage--; + + } while (stage > 0U); +} + + +/** + * @} end of BiquadCascadeDF1 group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_fast_q31.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_fast_q31.c new file mode 100644 index 0000000..5e41faa --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_fast_q31.c @@ -0,0 +1,292 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_biquad_cascade_df1_fast_q31.c + * Description: Processing function for the Q31 Fast Biquad cascade DirectFormI(DF1) filter + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupFilters + */ + +/** + * @addtogroup BiquadCascadeDF1 + * @{ + */ + +/** + * @details + * + * @param[in] *S points to an instance of the Q31 Biquad cascade structure. + * @param[in] *pSrc points to the block of input data. + * @param[out] *pDst points to the block of output data. + * @param[in] blockSize number of samples to process per call. + * @return none. + * + * Scaling and Overflow Behavior: + * \par + * This function is optimized for speed at the expense of fixed-point precision and overflow protection. + * The result of each 1.31 x 1.31 multiplication is truncated to 2.30 format. + * These intermediate results are added to a 2.30 accumulator. + * Finally, the accumulator is saturated and converted to a 1.31 result. + * The fast version has the same overflow behavior as the standard version and provides less precision since it discards the low 32 bits of each multiplication result. + * In order to avoid overflows completely the input signal must be scaled down by two bits and lie in the range [-0.25 +0.25). Use the intialization function + * arm_biquad_cascade_df1_init_q31() to initialize filter structure. + * + * \par + * Refer to the function arm_biquad_cascade_df1_q31() for a slower implementation of this function which uses 64-bit accumulation to provide higher precision. Both the slow and the fast versions use the same instance structure. + * Use the function arm_biquad_cascade_df1_init_q31() to initialize the filter structure. + */ + +void arm_biquad_cascade_df1_fast_q31( + const arm_biquad_casd_df1_inst_q31 * S, + q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize) +{ + q31_t acc = 0; /* accumulator */ + q31_t Xn1, Xn2, Yn1, Yn2; /* Filter state variables */ + q31_t b0, b1, b2, a1, a2; /* Filter coefficients */ + q31_t *pIn = pSrc; /* input pointer initialization */ + q31_t *pOut = pDst; /* output pointer initialization */ + q31_t *pState = S->pState; /* pState pointer initialization */ + q31_t *pCoeffs = S->pCoeffs; /* coeff pointer initialization */ + q31_t Xn; /* temporary input */ + int32_t shift = (int32_t) S->postShift + 1; /* Shift to be applied to the output */ + uint32_t sample, stage = S->numStages; /* loop counters */ + + + do + { + /* Reading the coefficients */ + b0 = *pCoeffs++; + b1 = *pCoeffs++; + b2 = *pCoeffs++; + a1 = *pCoeffs++; + a2 = *pCoeffs++; + + /* Reading the state values */ + Xn1 = pState[0]; + Xn2 = pState[1]; + Yn1 = pState[2]; + Yn2 = pState[3]; + + /* Apply loop unrolling and compute 4 output values simultaneously. */ + /* The variables acc ... acc3 hold output values that are being computed: + * + * acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] + */ + + sample = blockSize >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (sample > 0U) + { + /* Read the input */ + Xn = *pIn; + + /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */ + /* acc = b0 * x[n] */ + /*acc = (q31_t) (((q63_t) b1 * Xn1) >> 32);*/ + mult_32x32_keep32_R(acc, b1, Xn1); + /* acc += b1 * x[n-1] */ + /*acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b0 * (Xn))) >> 32);*/ + multAcc_32x32_keep32_R(acc, b0, Xn); + /* acc += b[2] * x[n-2] */ + /*acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b2 * (Xn2))) >> 32);*/ + multAcc_32x32_keep32_R(acc, b2, Xn2); + /* acc += a1 * y[n-1] */ + /*acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a1 * (Yn1))) >> 32);*/ + multAcc_32x32_keep32_R(acc, a1, Yn1); + /* acc += a2 * y[n-2] */ + /*acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a2 * (Yn2))) >> 32);*/ + multAcc_32x32_keep32_R(acc, a2, Yn2); + + /* The result is converted to 1.31 , Yn2 variable is reused */ + Yn2 = acc << shift; + + /* Read the second input */ + Xn2 = *(pIn + 1U); + + /* Store the output in the destination buffer. */ + *pOut = Yn2; + + /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */ + /* acc = b0 * x[n] */ + /*acc = (q31_t) (((q63_t) b0 * (Xn2)) >> 32);*/ + mult_32x32_keep32_R(acc, b0, Xn2); + /* acc += b1 * x[n-1] */ + /*acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b1 * (Xn))) >> 32);*/ + multAcc_32x32_keep32_R(acc, b1, Xn); + /* acc += b[2] * x[n-2] */ + /*acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b2 * (Xn1))) >> 32);*/ + multAcc_32x32_keep32_R(acc, b2, Xn1); + /* acc += a1 * y[n-1] */ + /*acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a1 * (Yn2))) >> 32);*/ + multAcc_32x32_keep32_R(acc, a1, Yn2); + /* acc += a2 * y[n-2] */ + /*acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a2 * (Yn1))) >> 32);*/ + multAcc_32x32_keep32_R(acc, a2, Yn1); + + /* The result is converted to 1.31, Yn1 variable is reused */ + Yn1 = acc << shift; + + /* Read the third input */ + Xn1 = *(pIn + 2U); + + /* Store the output in the destination buffer. */ + *(pOut + 1U) = Yn1; + + /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */ + /* acc = b0 * x[n] */ + /*acc = (q31_t) (((q63_t) b0 * (Xn1)) >> 32);*/ + mult_32x32_keep32_R(acc, b0, Xn1); + /* acc += b1 * x[n-1] */ + /*acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b1 * (Xn2))) >> 32);*/ + multAcc_32x32_keep32_R(acc, b1, Xn2); + /* acc += b[2] * x[n-2] */ + /*acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b2 * (Xn))) >> 32);*/ + multAcc_32x32_keep32_R(acc, b2, Xn); + /* acc += a1 * y[n-1] */ + /*acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a1 * (Yn1))) >> 32);*/ + multAcc_32x32_keep32_R(acc, a1, Yn1); + /* acc += a2 * y[n-2] */ + /*acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a2 * (Yn2))) >> 32);*/ + multAcc_32x32_keep32_R(acc, a2, Yn2); + + /* The result is converted to 1.31, Yn2 variable is reused */ + Yn2 = acc << shift; + + /* Read the forth input */ + Xn = *(pIn + 3U); + + /* Store the output in the destination buffer. */ + *(pOut + 2U) = Yn2; + pIn += 4U; + + /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */ + /* acc = b0 * x[n] */ + /*acc = (q31_t) (((q63_t) b0 * (Xn)) >> 32);*/ + mult_32x32_keep32_R(acc, b0, Xn); + /* acc += b1 * x[n-1] */ + /*acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b1 * (Xn1))) >> 32);*/ + multAcc_32x32_keep32_R(acc, b1, Xn1); + /* acc += b[2] * x[n-2] */ + /*acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b2 * (Xn2))) >> 32);*/ + multAcc_32x32_keep32_R(acc, b2, Xn2); + /* acc += a1 * y[n-1] */ + /*acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a1 * (Yn2))) >> 32);*/ + multAcc_32x32_keep32_R(acc, a1, Yn2); + /* acc += a2 * y[n-2] */ + /*acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a2 * (Yn1))) >> 32);*/ + multAcc_32x32_keep32_R(acc, a2, Yn1); + + /* Every time after the output is computed state should be updated. */ + /* The states should be updated as: */ + /* Xn2 = Xn1 */ + Xn2 = Xn1; + + /* The result is converted to 1.31, Yn1 variable is reused */ + Yn1 = acc << shift; + + /* Xn1 = Xn */ + Xn1 = Xn; + + /* Store the output in the destination buffer. */ + *(pOut + 3U) = Yn1; + pOut += 4U; + + /* decrement the loop counter */ + sample--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + sample = (blockSize & 0x3U); + + while (sample > 0U) + { + /* Read the input */ + Xn = *pIn++; + + /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */ + /* acc = b0 * x[n] */ + /*acc = (q31_t) (((q63_t) b0 * (Xn)) >> 32);*/ + mult_32x32_keep32_R(acc, b0, Xn); + /* acc += b1 * x[n-1] */ + /*acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b1 * (Xn1))) >> 32);*/ + multAcc_32x32_keep32_R(acc, b1, Xn1); + /* acc += b[2] * x[n-2] */ + /*acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) b2 * (Xn2))) >> 32);*/ + multAcc_32x32_keep32_R(acc, b2, Xn2); + /* acc += a1 * y[n-1] */ + /*acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a1 * (Yn1))) >> 32);*/ + multAcc_32x32_keep32_R(acc, a1, Yn1); + /* acc += a2 * y[n-2] */ + /*acc = (q31_t) ((((q63_t) acc << 32) + ((q63_t) a2 * (Yn2))) >> 32);*/ + multAcc_32x32_keep32_R(acc, a2, Yn2); + + /* The result is converted to 1.31 */ + acc = acc << shift; + + /* Every time after the output is computed state should be updated. */ + /* The states should be updated as: */ + /* Xn2 = Xn1 */ + /* Xn1 = Xn */ + /* Yn2 = Yn1 */ + /* Yn1 = acc */ + Xn2 = Xn1; + Xn1 = Xn; + Yn2 = Yn1; + Yn1 = acc; + + /* Store the output in the destination buffer. */ + *pOut++ = acc; + + /* decrement the loop counter */ + sample--; + } + + /* The first stage goes from the input buffer to the output buffer. */ + /* Subsequent stages occur in-place in the output buffer */ + pIn = pDst; + + /* Reset to destination pointer */ + pOut = pDst; + + /* Store the updated state variables back into the pState array */ + *pState++ = Xn1; + *pState++ = Xn2; + *pState++ = Yn1; + *pState++ = Yn2; + + } while (--stage); +} + +/** + * @} end of BiquadCascadeDF1 group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_init_f32.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_init_f32.c new file mode 100644 index 0000000..147c8c5 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_init_f32.c @@ -0,0 +1,97 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_biquad_cascade_df1_init_f32.c + * Description: Floating-point Biquad cascade DirectFormI(DF1) filter initialization function + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupFilters + */ + +/** + * @addtogroup BiquadCascadeDF1 + * @{ + */ + +/** + * @details + * @brief Initialization function for the floating-point Biquad cascade filter. + * @param[in,out] *S points to an instance of the floating-point Biquad cascade structure. + * @param[in] numStages number of 2nd order stages in the filter. + * @param[in] *pCoeffs points to the filter coefficients array. + * @param[in] *pState points to the state array. + * @return none + * + * + * Coefficient and State Ordering: + * + * \par + * The coefficients are stored in the array pCoeffs in the following order: + *
+ *     {b10, b11, b12, a11, a12, b20, b21, b22, a21, a22, ...}
+ * 
+ * + * \par + * where b1x and a1x are the coefficients for the first stage, + * b2x and a2x are the coefficients for the second stage, + * and so on. The pCoeffs array contains a total of 5*numStages values. + * + * \par + * The pState is a pointer to state array. + * Each Biquad stage has 4 state variables x[n-1], x[n-2], y[n-1], and y[n-2]. + * The state variables are arranged in the pState array as: + *
+ *     {x[n-1], x[n-2], y[n-1], y[n-2]}
+ * 
+ * The 4 state variables for stage 1 are first, then the 4 state variables for stage 2, and so on. + * The state array has a total length of 4*numStages values. + * The state variables are updated after each block of data is processed; the coefficients are untouched. + * + */ + +void arm_biquad_cascade_df1_init_f32( + arm_biquad_casd_df1_inst_f32 * S, + uint8_t numStages, + float32_t * pCoeffs, + float32_t * pState) +{ + /* Assign filter stages */ + S->numStages = numStages; + + /* Assign coefficient pointer */ + S->pCoeffs = pCoeffs; + + /* Clear state buffer and size is always 4 * numStages */ + memset(pState, 0, (4U * (uint32_t) numStages) * sizeof(float32_t)); + + /* Assign state pointer */ + S->pState = pState; +} + +/** + * @} end of BiquadCascadeDF1 group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_init_q15.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_init_q15.c new file mode 100644 index 0000000..dd46fb4 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_init_q15.c @@ -0,0 +1,99 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_biquad_cascade_df1_init_q15.c + * Description: Q15 Biquad cascade DirectFormI(DF1) filter initialization function + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupFilters + */ + +/** + * @addtogroup BiquadCascadeDF1 + * @{ + */ + +/** + * @details + * + * @param[in,out] *S points to an instance of the Q15 Biquad cascade structure. + * @param[in] numStages number of 2nd order stages in the filter. + * @param[in] *pCoeffs points to the filter coefficients. + * @param[in] *pState points to the state buffer. + * @param[in] postShift Shift to be applied to the accumulator result. Varies according to the coefficients format + * @return none + * + * Coefficient and State Ordering: + * + * \par + * The coefficients are stored in the array pCoeffs in the following order: + *
+ *     {b10, 0, b11, b12, a11, a12, b20, 0, b21, b22, a21, a22, ...}
+ * 
+ * where b1x and a1x are the coefficients for the first stage, + * b2x and a2x are the coefficients for the second stage, + * and so on. The pCoeffs array contains a total of 6*numStages values. + * The zero coefficient between b1 and b2 facilities use of 16-bit SIMD instructions on the Cortex-M4. + * + * \par + * The state variables are stored in the array pState. + * Each Biquad stage has 4 state variables x[n-1], x[n-2], y[n-1], and y[n-2]. + * The state variables are arranged in the pState array as: + *
+ *     {x[n-1], x[n-2], y[n-1], y[n-2]}
+ * 
+ * The 4 state variables for stage 1 are first, then the 4 state variables for stage 2, and so on. + * The state array has a total length of 4*numStages values. + * The state variables are updated after each block of data is processed; the coefficients are untouched. + */ + +void arm_biquad_cascade_df1_init_q15( + arm_biquad_casd_df1_inst_q15 * S, + uint8_t numStages, + q15_t * pCoeffs, + q15_t * pState, + int8_t postShift) +{ + /* Assign filter stages */ + S->numStages = numStages; + + /* Assign postShift to be applied to the output */ + S->postShift = postShift; + + /* Assign coefficient pointer */ + S->pCoeffs = pCoeffs; + + /* Clear state buffer and size is always 4 * numStages */ + memset(pState, 0, (4U * (uint32_t) numStages) * sizeof(q15_t)); + + /* Assign state pointer */ + S->pState = pState; +} + +/** + * @} end of BiquadCascadeDF1 group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_init_q31.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_init_q31.c new file mode 100644 index 0000000..10fb6bc --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_init_q31.c @@ -0,0 +1,98 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_biquad_cascade_df1_init_q31.c + * Description: Q31 Biquad cascade DirectFormI(DF1) filter initialization function + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupFilters + */ + +/** + * @addtogroup BiquadCascadeDF1 + * @{ + */ + +/** + * @details + * + * @param[in,out] *S points to an instance of the Q31 Biquad cascade structure. + * @param[in] numStages number of 2nd order stages in the filter. + * @param[in] *pCoeffs points to the filter coefficients buffer. + * @param[in] *pState points to the state buffer. + * @param[in] postShift Shift to be applied after the accumulator. Varies according to the coefficients format + * @return none + * + * Coefficient and State Ordering: + * + * \par + * The coefficients are stored in the array pCoeffs in the following order: + *
+ *     {b10, b11, b12, a11, a12, b20, b21, b22, a21, a22, ...}
+ * 
+ * where b1x and a1x are the coefficients for the first stage, + * b2x and a2x are the coefficients for the second stage, + * and so on. The pCoeffs array contains a total of 5*numStages values. + * + * \par + * The pState points to state variables array. + * Each Biquad stage has 4 state variables x[n-1], x[n-2], y[n-1], and y[n-2]. + * The state variables are arranged in the pState array as: + *
+ *     {x[n-1], x[n-2], y[n-1], y[n-2]}
+ * 
+ * The 4 state variables for stage 1 are first, then the 4 state variables for stage 2, and so on. + * The state array has a total length of 4*numStages values. + * The state variables are updated after each block of data is processed; the coefficients are untouched. + */ + +void arm_biquad_cascade_df1_init_q31( + arm_biquad_casd_df1_inst_q31 * S, + uint8_t numStages, + q31_t * pCoeffs, + q31_t * pState, + int8_t postShift) +{ + /* Assign filter stages */ + S->numStages = numStages; + + /* Assign postShift to be applied to the output */ + S->postShift = postShift; + + /* Assign coefficient pointer */ + S->pCoeffs = pCoeffs; + + /* Clear state buffer and size is always 4 * numStages */ + memset(pState, 0, (4U * (uint32_t) numStages) * sizeof(q31_t)); + + /* Assign state pointer */ + S->pState = pState; +} + +/** + * @} end of BiquadCascadeDF1 group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_q15.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_q15.c new file mode 100644 index 0000000..c524756 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_q15.c @@ -0,0 +1,398 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_biquad_cascade_df1_q15.c + * Description: Processing function for the Q15 Biquad cascade DirectFormI(DF1) filter + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupFilters + */ + +/** + * @addtogroup BiquadCascadeDF1 + * @{ + */ + +/** + * @brief Processing function for the Q15 Biquad cascade filter. + * @param[in] *S points to an instance of the Q15 Biquad cascade structure. + * @param[in] *pSrc points to the block of input data. + * @param[out] *pDst points to the location where the output result is written. + * @param[in] blockSize number of samples to process per call. + * @return none. + * + * + * Scaling and Overflow Behavior: + * \par + * The function is implemented using a 64-bit internal accumulator. + * Both coefficients and state variables are represented in 1.15 format and multiplications yield a 2.30 result. + * The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format. + * There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved. + * The accumulator is then shifted by postShift bits to truncate the result to 1.15 format by discarding the low 16 bits. + * Finally, the result is saturated to 1.15 format. + * + * \par + * Refer to the function arm_biquad_cascade_df1_fast_q15() for a faster but less precise implementation of this filter for Cortex-M3 and Cortex-M4. + */ + +void arm_biquad_cascade_df1_q15( + const arm_biquad_casd_df1_inst_q15 * S, + q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize) +{ + + +#if defined (ARM_MATH_DSP) + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + q15_t *pIn = pSrc; /* Source pointer */ + q15_t *pOut = pDst; /* Destination pointer */ + q31_t in; /* Temporary variable to hold input value */ + q31_t out; /* Temporary variable to hold output value */ + q31_t b0; /* Temporary variable to hold bo value */ + q31_t b1, a1; /* Filter coefficients */ + q31_t state_in, state_out; /* Filter state variables */ + q31_t acc_l, acc_h; + q63_t acc; /* Accumulator */ + int32_t lShift = (15 - (int32_t) S->postShift); /* Post shift */ + q15_t *pState = S->pState; /* State pointer */ + q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + uint32_t sample, stage = (uint32_t) S->numStages; /* Stage loop counter */ + int32_t uShift = (32 - lShift); + + do + { + /* Read the b0 and 0 coefficients using SIMD */ + b0 = *__SIMD32(pCoeffs)++; + + /* Read the b1 and b2 coefficients using SIMD */ + b1 = *__SIMD32(pCoeffs)++; + + /* Read the a1 and a2 coefficients using SIMD */ + a1 = *__SIMD32(pCoeffs)++; + + /* Read the input state values from the state buffer: x[n-1], x[n-2] */ + state_in = *__SIMD32(pState)++; + + /* Read the output state values from the state buffer: y[n-1], y[n-2] */ + state_out = *__SIMD32(pState)--; + + /* Apply loop unrolling and compute 2 output values simultaneously. */ + /* The variable acc hold output values that are being computed: + * + * acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] + * acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] + */ + sample = blockSize >> 1U; + + /* First part of the processing with loop unrolling. Compute 2 outputs at a time. + ** a second loop below computes the remaining 1 sample. */ + while (sample > 0U) + { + + /* Read the input */ + in = *__SIMD32(pIn)++; + + /* out = b0 * x[n] + 0 * 0 */ + out = __SMUAD(b0, in); + + /* acc += b1 * x[n-1] + b2 * x[n-2] + out */ + acc = __SMLALD(b1, state_in, out); + /* acc += a1 * y[n-1] + a2 * y[n-2] */ + acc = __SMLALD(a1, state_out, acc); + + /* The result is converted from 3.29 to 1.31 if postShift = 1, and then saturation is applied */ + /* Calc lower part of acc */ + acc_l = acc & 0xffffffff; + + /* Calc upper part of acc */ + acc_h = (acc >> 32) & 0xffffffff; + + /* Apply shift for lower part of acc and upper part of acc */ + out = (uint32_t) acc_l >> lShift | acc_h << uShift; + + out = __SSAT(out, 16); + + /* Every time after the output is computed state should be updated. */ + /* The states should be updated as: */ + /* Xn2 = Xn1 */ + /* Xn1 = Xn */ + /* Yn2 = Yn1 */ + /* Yn1 = acc */ + /* x[n-N], x[n-N-1] are packed together to make state_in of type q31 */ + /* y[n-N], y[n-N-1] are packed together to make state_out of type q31 */ + +#ifndef ARM_MATH_BIG_ENDIAN + + state_in = __PKHBT(in, state_in, 16); + state_out = __PKHBT(out, state_out, 16); + +#else + + state_in = __PKHBT(state_in >> 16, (in >> 16), 16); + state_out = __PKHBT(state_out >> 16, (out), 16); + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* out = b0 * x[n] + 0 * 0 */ + out = __SMUADX(b0, in); + /* acc += b1 * x[n-1] + b2 * x[n-2] + out */ + acc = __SMLALD(b1, state_in, out); + /* acc += a1 * y[n-1] + a2 * y[n-2] */ + acc = __SMLALD(a1, state_out, acc); + + /* The result is converted from 3.29 to 1.31 if postShift = 1, and then saturation is applied */ + /* Calc lower part of acc */ + acc_l = acc & 0xffffffff; + + /* Calc upper part of acc */ + acc_h = (acc >> 32) & 0xffffffff; + + /* Apply shift for lower part of acc and upper part of acc */ + out = (uint32_t) acc_l >> lShift | acc_h << uShift; + + out = __SSAT(out, 16); + + /* Store the output in the destination buffer. */ + +#ifndef ARM_MATH_BIG_ENDIAN + + *__SIMD32(pOut)++ = __PKHBT(state_out, out, 16); + +#else + + *__SIMD32(pOut)++ = __PKHBT(out, state_out >> 16, 16); + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* Every time after the output is computed state should be updated. */ + /* The states should be updated as: */ + /* Xn2 = Xn1 */ + /* Xn1 = Xn */ + /* Yn2 = Yn1 */ + /* Yn1 = acc */ + /* x[n-N], x[n-N-1] are packed together to make state_in of type q31 */ + /* y[n-N], y[n-N-1] are packed together to make state_out of type q31 */ +#ifndef ARM_MATH_BIG_ENDIAN + + state_in = __PKHBT(in >> 16, state_in, 16); + state_out = __PKHBT(out, state_out, 16); + +#else + + state_in = __PKHBT(state_in >> 16, in, 16); + state_out = __PKHBT(state_out >> 16, out, 16); + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + + /* Decrement the loop counter */ + sample--; + + } + + /* If the blockSize is not a multiple of 2, compute any remaining output samples here. + ** No loop unrolling is used. */ + + if ((blockSize & 0x1U) != 0U) + { + /* Read the input */ + in = *pIn++; + + /* out = b0 * x[n] + 0 * 0 */ + +#ifndef ARM_MATH_BIG_ENDIAN + + out = __SMUAD(b0, in); + +#else + + out = __SMUADX(b0, in); + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* acc = b1 * x[n-1] + b2 * x[n-2] + out */ + acc = __SMLALD(b1, state_in, out); + /* acc += a1 * y[n-1] + a2 * y[n-2] */ + acc = __SMLALD(a1, state_out, acc); + + /* The result is converted from 3.29 to 1.31 if postShift = 1, and then saturation is applied */ + /* Calc lower part of acc */ + acc_l = acc & 0xffffffff; + + /* Calc upper part of acc */ + acc_h = (acc >> 32) & 0xffffffff; + + /* Apply shift for lower part of acc and upper part of acc */ + out = (uint32_t) acc_l >> lShift | acc_h << uShift; + + out = __SSAT(out, 16); + + /* Store the output in the destination buffer. */ + *pOut++ = (q15_t) out; + + /* Every time after the output is computed state should be updated. */ + /* The states should be updated as: */ + /* Xn2 = Xn1 */ + /* Xn1 = Xn */ + /* Yn2 = Yn1 */ + /* Yn1 = acc */ + /* x[n-N], x[n-N-1] are packed together to make state_in of type q31 */ + /* y[n-N], y[n-N-1] are packed together to make state_out of type q31 */ + +#ifndef ARM_MATH_BIG_ENDIAN + + state_in = __PKHBT(in, state_in, 16); + state_out = __PKHBT(out, state_out, 16); + +#else + + state_in = __PKHBT(state_in >> 16, in, 16); + state_out = __PKHBT(state_out >> 16, out, 16); + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + } + + /* The first stage goes from the input wire to the output wire. */ + /* Subsequent numStages occur in-place in the output wire */ + pIn = pDst; + + /* Reset the output pointer */ + pOut = pDst; + + /* Store the updated state variables back into the state array */ + *__SIMD32(pState)++ = state_in; + *__SIMD32(pState)++ = state_out; + + + /* Decrement the loop counter */ + stage--; + + } while (stage > 0U); + +#else + + /* Run the below code for Cortex-M0 */ + + q15_t *pIn = pSrc; /* Source pointer */ + q15_t *pOut = pDst; /* Destination pointer */ + q15_t b0, b1, b2, a1, a2; /* Filter coefficients */ + q15_t Xn1, Xn2, Yn1, Yn2; /* Filter state variables */ + q15_t Xn; /* temporary input */ + q63_t acc; /* Accumulator */ + int32_t shift = (15 - (int32_t) S->postShift); /* Post shift */ + q15_t *pState = S->pState; /* State pointer */ + q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + uint32_t sample, stage = (uint32_t) S->numStages; /* Stage loop counter */ + + do + { + /* Reading the coefficients */ + b0 = *pCoeffs++; + pCoeffs++; // skip the 0 coefficient + b1 = *pCoeffs++; + b2 = *pCoeffs++; + a1 = *pCoeffs++; + a2 = *pCoeffs++; + + /* Reading the state values */ + Xn1 = pState[0]; + Xn2 = pState[1]; + Yn1 = pState[2]; + Yn2 = pState[3]; + + /* The variables acc holds the output value that is computed: + * acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] + */ + + sample = blockSize; + + while (sample > 0U) + { + /* Read the input */ + Xn = *pIn++; + + /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */ + /* acc = b0 * x[n] */ + acc = (q31_t) b0 *Xn; + + /* acc += b1 * x[n-1] */ + acc += (q31_t) b1 *Xn1; + /* acc += b[2] * x[n-2] */ + acc += (q31_t) b2 *Xn2; + /* acc += a1 * y[n-1] */ + acc += (q31_t) a1 *Yn1; + /* acc += a2 * y[n-2] */ + acc += (q31_t) a2 *Yn2; + + /* The result is converted to 1.31 */ + acc = __SSAT((acc >> shift), 16); + + /* Every time after the output is computed state should be updated. */ + /* The states should be updated as: */ + /* Xn2 = Xn1 */ + /* Xn1 = Xn */ + /* Yn2 = Yn1 */ + /* Yn1 = acc */ + Xn2 = Xn1; + Xn1 = Xn; + Yn2 = Yn1; + Yn1 = (q15_t) acc; + + /* Store the output in the destination buffer. */ + *pOut++ = (q15_t) acc; + + /* decrement the loop counter */ + sample--; + } + + /* The first stage goes from the input buffer to the output buffer. */ + /* Subsequent stages occur in-place in the output buffer */ + pIn = pDst; + + /* Reset to destination pointer */ + pOut = pDst; + + /* Store the updated state variables back into the pState array */ + *pState++ = Xn1; + *pState++ = Xn2; + *pState++ = Yn1; + *pState++ = Yn2; + + } while (--stage); + +#endif /* #if defined (ARM_MATH_DSP) */ + +} + + +/** + * @} end of BiquadCascadeDF1 group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_q31.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_q31.c new file mode 100644 index 0000000..da367ec --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_q31.c @@ -0,0 +1,392 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_biquad_cascade_df1_q31.c + * Description: Processing function for the Q31 Biquad cascade filter + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupFilters + */ + +/** + * @addtogroup BiquadCascadeDF1 + * @{ + */ + +/** + * @brief Processing function for the Q31 Biquad cascade filter. + * @param[in] *S points to an instance of the Q31 Biquad cascade structure. + * @param[in] *pSrc points to the block of input data. + * @param[out] *pDst points to the block of output data. + * @param[in] blockSize number of samples to process per call. + * @return none. + * + * Scaling and Overflow Behavior: + * \par + * The function is implemented using an internal 64-bit accumulator. + * The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit. + * Thus, if the accumulator result overflows it wraps around rather than clip. + * In order to avoid overflows completely the input signal must be scaled down by 2 bits and lie in the range [-0.25 +0.25). + * After all 5 multiply-accumulates are performed, the 2.62 accumulator is shifted by postShift bits and the result truncated to + * 1.31 format by discarding the low 32 bits. + * + * \par + * Refer to the function arm_biquad_cascade_df1_fast_q31() for a faster but less precise implementation of this filter for Cortex-M3 and Cortex-M4. + */ + +void arm_biquad_cascade_df1_q31( + const arm_biquad_casd_df1_inst_q31 * S, + q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize) +{ + q63_t acc; /* accumulator */ + uint32_t uShift = ((uint32_t) S->postShift + 1U); + uint32_t lShift = 32U - uShift; /* Shift to be applied to the output */ + q31_t *pIn = pSrc; /* input pointer initialization */ + q31_t *pOut = pDst; /* output pointer initialization */ + q31_t *pState = S->pState; /* pState pointer initialization */ + q31_t *pCoeffs = S->pCoeffs; /* coeff pointer initialization */ + q31_t Xn1, Xn2, Yn1, Yn2; /* Filter state variables */ + q31_t b0, b1, b2, a1, a2; /* Filter coefficients */ + q31_t Xn; /* temporary input */ + uint32_t sample, stage = S->numStages; /* loop counters */ + + +#if defined (ARM_MATH_DSP) + + q31_t acc_l, acc_h; /* temporary output variables */ + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + do + { + /* Reading the coefficients */ + b0 = *pCoeffs++; + b1 = *pCoeffs++; + b2 = *pCoeffs++; + a1 = *pCoeffs++; + a2 = *pCoeffs++; + + /* Reading the state values */ + Xn1 = pState[0]; + Xn2 = pState[1]; + Yn1 = pState[2]; + Yn2 = pState[3]; + + /* Apply loop unrolling and compute 4 output values simultaneously. */ + /* The variable acc hold output values that are being computed: + * + * acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] + */ + + sample = blockSize >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (sample > 0U) + { + /* Read the input */ + Xn = *pIn++; + + /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */ + + /* acc = b0 * x[n] */ + acc = (q63_t) b0 *Xn; + /* acc += b1 * x[n-1] */ + acc += (q63_t) b1 *Xn1; + /* acc += b[2] * x[n-2] */ + acc += (q63_t) b2 *Xn2; + /* acc += a1 * y[n-1] */ + acc += (q63_t) a1 *Yn1; + /* acc += a2 * y[n-2] */ + acc += (q63_t) a2 *Yn2; + + /* The result is converted to 1.31 , Yn2 variable is reused */ + + /* Calc lower part of acc */ + acc_l = acc & 0xffffffff; + + /* Calc upper part of acc */ + acc_h = (acc >> 32) & 0xffffffff; + + /* Apply shift for lower part of acc and upper part of acc */ + Yn2 = (uint32_t) acc_l >> lShift | acc_h << uShift; + + /* Store the output in the destination buffer. */ + *pOut++ = Yn2; + + /* Read the second input */ + Xn2 = *pIn++; + + /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */ + + /* acc = b0 * x[n] */ + acc = (q63_t) b0 *Xn2; + /* acc += b1 * x[n-1] */ + acc += (q63_t) b1 *Xn; + /* acc += b[2] * x[n-2] */ + acc += (q63_t) b2 *Xn1; + /* acc += a1 * y[n-1] */ + acc += (q63_t) a1 *Yn2; + /* acc += a2 * y[n-2] */ + acc += (q63_t) a2 *Yn1; + + + /* The result is converted to 1.31, Yn1 variable is reused */ + + /* Calc lower part of acc */ + acc_l = acc & 0xffffffff; + + /* Calc upper part of acc */ + acc_h = (acc >> 32) & 0xffffffff; + + + /* Apply shift for lower part of acc and upper part of acc */ + Yn1 = (uint32_t) acc_l >> lShift | acc_h << uShift; + + /* Store the output in the destination buffer. */ + *pOut++ = Yn1; + + /* Read the third input */ + Xn1 = *pIn++; + + /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */ + + /* acc = b0 * x[n] */ + acc = (q63_t) b0 *Xn1; + /* acc += b1 * x[n-1] */ + acc += (q63_t) b1 *Xn2; + /* acc += b[2] * x[n-2] */ + acc += (q63_t) b2 *Xn; + /* acc += a1 * y[n-1] */ + acc += (q63_t) a1 *Yn1; + /* acc += a2 * y[n-2] */ + acc += (q63_t) a2 *Yn2; + + /* The result is converted to 1.31, Yn2 variable is reused */ + /* Calc lower part of acc */ + acc_l = acc & 0xffffffff; + + /* Calc upper part of acc */ + acc_h = (acc >> 32) & 0xffffffff; + + + /* Apply shift for lower part of acc and upper part of acc */ + Yn2 = (uint32_t) acc_l >> lShift | acc_h << uShift; + + /* Store the output in the destination buffer. */ + *pOut++ = Yn2; + + /* Read the forth input */ + Xn = *pIn++; + + /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */ + + /* acc = b0 * x[n] */ + acc = (q63_t) b0 *Xn; + /* acc += b1 * x[n-1] */ + acc += (q63_t) b1 *Xn1; + /* acc += b[2] * x[n-2] */ + acc += (q63_t) b2 *Xn2; + /* acc += a1 * y[n-1] */ + acc += (q63_t) a1 *Yn2; + /* acc += a2 * y[n-2] */ + acc += (q63_t) a2 *Yn1; + + /* The result is converted to 1.31, Yn1 variable is reused */ + /* Calc lower part of acc */ + acc_l = acc & 0xffffffff; + + /* Calc upper part of acc */ + acc_h = (acc >> 32) & 0xffffffff; + + /* Apply shift for lower part of acc and upper part of acc */ + Yn1 = (uint32_t) acc_l >> lShift | acc_h << uShift; + + /* Every time after the output is computed state should be updated. */ + /* The states should be updated as: */ + /* Xn2 = Xn1 */ + /* Xn1 = Xn */ + /* Yn2 = Yn1 */ + /* Yn1 = acc */ + Xn2 = Xn1; + Xn1 = Xn; + + /* Store the output in the destination buffer. */ + *pOut++ = Yn1; + + /* decrement the loop counter */ + sample--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + sample = (blockSize & 0x3U); + + while (sample > 0U) + { + /* Read the input */ + Xn = *pIn++; + + /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */ + + /* acc = b0 * x[n] */ + acc = (q63_t) b0 *Xn; + /* acc += b1 * x[n-1] */ + acc += (q63_t) b1 *Xn1; + /* acc += b[2] * x[n-2] */ + acc += (q63_t) b2 *Xn2; + /* acc += a1 * y[n-1] */ + acc += (q63_t) a1 *Yn1; + /* acc += a2 * y[n-2] */ + acc += (q63_t) a2 *Yn2; + + /* The result is converted to 1.31 */ + acc = acc >> lShift; + + /* Every time after the output is computed state should be updated. */ + /* The states should be updated as: */ + /* Xn2 = Xn1 */ + /* Xn1 = Xn */ + /* Yn2 = Yn1 */ + /* Yn1 = acc */ + Xn2 = Xn1; + Xn1 = Xn; + Yn2 = Yn1; + Yn1 = (q31_t) acc; + + /* Store the output in the destination buffer. */ + *pOut++ = (q31_t) acc; + + /* decrement the loop counter */ + sample--; + } + + /* The first stage goes from the input buffer to the output buffer. */ + /* Subsequent stages occur in-place in the output buffer */ + pIn = pDst; + + /* Reset to destination pointer */ + pOut = pDst; + + /* Store the updated state variables back into the pState array */ + *pState++ = Xn1; + *pState++ = Xn2; + *pState++ = Yn1; + *pState++ = Yn2; + + } while (--stage); + +#else + + /* Run the below code for Cortex-M0 */ + + do + { + /* Reading the coefficients */ + b0 = *pCoeffs++; + b1 = *pCoeffs++; + b2 = *pCoeffs++; + a1 = *pCoeffs++; + a2 = *pCoeffs++; + + /* Reading the state values */ + Xn1 = pState[0]; + Xn2 = pState[1]; + Yn1 = pState[2]; + Yn2 = pState[3]; + + /* The variables acc holds the output value that is computed: + * acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] + */ + + sample = blockSize; + + while (sample > 0U) + { + /* Read the input */ + Xn = *pIn++; + + /* acc = b0 * x[n] + b1 * x[n-1] + b2 * x[n-2] + a1 * y[n-1] + a2 * y[n-2] */ + /* acc = b0 * x[n] */ + acc = (q63_t) b0 *Xn; + + /* acc += b1 * x[n-1] */ + acc += (q63_t) b1 *Xn1; + /* acc += b[2] * x[n-2] */ + acc += (q63_t) b2 *Xn2; + /* acc += a1 * y[n-1] */ + acc += (q63_t) a1 *Yn1; + /* acc += a2 * y[n-2] */ + acc += (q63_t) a2 *Yn2; + + /* The result is converted to 1.31 */ + acc = acc >> lShift; + + /* Every time after the output is computed state should be updated. */ + /* The states should be updated as: */ + /* Xn2 = Xn1 */ + /* Xn1 = Xn */ + /* Yn2 = Yn1 */ + /* Yn1 = acc */ + Xn2 = Xn1; + Xn1 = Xn; + Yn2 = Yn1; + Yn1 = (q31_t) acc; + + /* Store the output in the destination buffer. */ + *pOut++ = (q31_t) acc; + + /* decrement the loop counter */ + sample--; + } + + /* The first stage goes from the input buffer to the output buffer. */ + /* Subsequent stages occur in-place in the output buffer */ + pIn = pDst; + + /* Reset to destination pointer */ + pOut = pDst; + + /* Store the updated state variables back into the pState array */ + *pState++ = Xn1; + *pState++ = Xn2; + *pState++ = Yn1; + *pState++ = Yn2; + + } while (--stage); + +#endif /* #if defined (ARM_MATH_DSP) */ +} + + + + +/** + * @} end of BiquadCascadeDF1 group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df2T_f32.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df2T_f32.c new file mode 100644 index 0000000..3f1ce03 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df2T_f32.c @@ -0,0 +1,590 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_biquad_cascade_df2T_f32.c + * Description: Processing function for floating-point transposed direct form II Biquad cascade filter + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** +* @ingroup groupFilters +*/ + +/** +* @defgroup BiquadCascadeDF2T Biquad Cascade IIR Filters Using a Direct Form II Transposed Structure +* +* This set of functions implements arbitrary order recursive (IIR) filters using a transposed direct form II structure. +* The filters are implemented as a cascade of second order Biquad sections. +* These functions provide a slight memory savings as compared to the direct form I Biquad filter functions. +* Only floating-point data is supported. +* +* This function operate on blocks of input and output data and each call to the function +* processes blockSize samples through the filter. +* pSrc points to the array of input data and +* pDst points to the array of output data. +* Both arrays contain blockSize values. +* +* \par Algorithm +* Each Biquad stage implements a second order filter using the difference equation: +*
+*    y[n] = b0 * x[n] + d1
+*    d1 = b1 * x[n] + a1 * y[n] + d2
+*    d2 = b2 * x[n] + a2 * y[n]
+* 
+* where d1 and d2 represent the two state values. +* +* \par +* A Biquad filter using a transposed Direct Form II structure is shown below. +* \image html BiquadDF2Transposed.gif "Single transposed Direct Form II Biquad" +* Coefficients b0, b1, and b2 multiply the input signal x[n] and are referred to as the feedforward coefficients. +* Coefficients a1 and a2 multiply the output signal y[n] and are referred to as the feedback coefficients. +* Pay careful attention to the sign of the feedback coefficients. +* Some design tools flip the sign of the feedback coefficients: +*
+*    y[n] = b0 * x[n] + d1;
+*    d1 = b1 * x[n] - a1 * y[n] + d2;
+*    d2 = b2 * x[n] - a2 * y[n];
+* 
+* In this case the feedback coefficients a1 and a2 must be negated when used with the CMSIS DSP Library. +* +* \par +* Higher order filters are realized as a cascade of second order sections. +* numStages refers to the number of second order stages used. +* For example, an 8th order filter would be realized with numStages=4 second order stages. +* A 9th order filter would be realized with numStages=5 second order stages with the +* coefficients for one of the stages configured as a first order filter (b2=0 and a2=0). +* +* \par +* pState points to the state variable array. +* Each Biquad stage has 2 state variables d1 and d2. +* The state variables are arranged in the pState array as: +*
+*     {d11, d12, d21, d22, ...}
+* 
+* where d1x refers to the state variables for the first Biquad and +* d2x refers to the state variables for the second Biquad. +* The state array has a total length of 2*numStages values. +* The state variables are updated after each block of data is processed; the coefficients are untouched. +* +* \par +* The CMSIS library contains Biquad filters in both Direct Form I and transposed Direct Form II. +* The advantage of the Direct Form I structure is that it is numerically more robust for fixed-point data types. +* That is why the Direct Form I structure supports Q15 and Q31 data types. +* The transposed Direct Form II structure, on the other hand, requires a wide dynamic range for the state variables d1 and d2. +* Because of this, the CMSIS library only has a floating-point version of the Direct Form II Biquad. +* The advantage of the Direct Form II Biquad is that it requires half the number of state variables, 2 rather than 4, per Biquad stage. +* +* \par Instance Structure +* The coefficients and state variables for a filter are stored together in an instance data structure. +* A separate instance structure must be defined for each filter. +* Coefficient arrays may be shared among several instances while state variable arrays cannot be shared. +* +* \par Init Functions +* There is also an associated initialization function. +* The initialization function performs following operations: +* - Sets the values of the internal structure fields. +* - Zeros out the values in the state buffer. +* To do this manually without calling the init function, assign the follow subfields of the instance structure: +* numStages, pCoeffs, pState. Also set all of the values in pState to zero. +* +* \par +* Use of the initialization function is optional. +* However, if the initialization function is used, then the instance structure cannot be placed into a const data section. +* To place an instance structure into a const data section, the instance structure must be manually initialized. +* Set the values in the state buffer to zeros before static initialization. +* For example, to statically initialize the instance structure use +*
+*     arm_biquad_cascade_df2T_instance_f32 S1 = {numStages, pState, pCoeffs};
+* 
+* where numStages is the number of Biquad stages in the filter; pState is the address of the state buffer. +* pCoeffs is the address of the coefficient buffer; +* +*/ + +/** +* @addtogroup BiquadCascadeDF2T +* @{ +*/ + +/** +* @brief Processing function for the floating-point transposed direct form II Biquad cascade filter. +* @param[in] *S points to an instance of the filter data structure. +* @param[in] *pSrc points to the block of input data. +* @param[out] *pDst points to the block of output data +* @param[in] blockSize number of samples to process. +* @return none. +*/ + + +LOW_OPTIMIZATION_ENTER +void arm_biquad_cascade_df2T_f32( +const arm_biquad_cascade_df2T_instance_f32 * S, +float32_t * pSrc, +float32_t * pDst, +uint32_t blockSize) +{ + + float32_t *pIn = pSrc; /* source pointer */ + float32_t *pOut = pDst; /* destination pointer */ + float32_t *pState = S->pState; /* State pointer */ + float32_t *pCoeffs = S->pCoeffs; /* coefficient pointer */ + float32_t acc1; /* accumulator */ + float32_t b0, b1, b2, a1, a2; /* Filter coefficients */ + float32_t Xn1; /* temporary input */ + float32_t d1, d2; /* state variables */ + uint32_t sample, stage = S->numStages; /* loop counters */ + +#if defined(ARM_MATH_CM7) + + float32_t Xn2, Xn3, Xn4, Xn5, Xn6, Xn7, Xn8; /* Input State variables */ + float32_t Xn9, Xn10, Xn11, Xn12, Xn13, Xn14, Xn15, Xn16; + float32_t acc2, acc3, acc4, acc5, acc6, acc7; /* Simulates the accumulator */ + float32_t acc8, acc9, acc10, acc11, acc12, acc13, acc14, acc15, acc16; + + do + { + /* Reading the coefficients */ + b0 = pCoeffs[0]; + b1 = pCoeffs[1]; + b2 = pCoeffs[2]; + a1 = pCoeffs[3]; + /* Apply loop unrolling and compute 16 output values simultaneously. */ + sample = blockSize >> 4U; + a2 = pCoeffs[4]; + + /*Reading the state values */ + d1 = pState[0]; + d2 = pState[1]; + + pCoeffs += 5U; + + + /* First part of the processing with loop unrolling. Compute 16 outputs at a time. + ** a second loop below computes the remaining 1 to 15 samples. */ + while (sample > 0U) { + + /* y[n] = b0 * x[n] + d1 */ + /* d1 = b1 * x[n] + a1 * y[n] + d2 */ + /* d2 = b2 * x[n] + a2 * y[n] */ + + /* Read the first 2 inputs. 2 cycles */ + Xn1 = pIn[0 ]; + Xn2 = pIn[1 ]; + + /* Sample 1. 5 cycles */ + Xn3 = pIn[2 ]; + acc1 = b0 * Xn1 + d1; + + Xn4 = pIn[3 ]; + d1 = b1 * Xn1 + d2; + + Xn5 = pIn[4 ]; + d2 = b2 * Xn1; + + Xn6 = pIn[5 ]; + d1 += a1 * acc1; + + Xn7 = pIn[6 ]; + d2 += a2 * acc1; + + /* Sample 2. 5 cycles */ + Xn8 = pIn[7 ]; + acc2 = b0 * Xn2 + d1; + + Xn9 = pIn[8 ]; + d1 = b1 * Xn2 + d2; + + Xn10 = pIn[9 ]; + d2 = b2 * Xn2; + + Xn11 = pIn[10]; + d1 += a1 * acc2; + + Xn12 = pIn[11]; + d2 += a2 * acc2; + + /* Sample 3. 5 cycles */ + Xn13 = pIn[12]; + acc3 = b0 * Xn3 + d1; + + Xn14 = pIn[13]; + d1 = b1 * Xn3 + d2; + + Xn15 = pIn[14]; + d2 = b2 * Xn3; + + Xn16 = pIn[15]; + d1 += a1 * acc3; + + pIn += 16; + d2 += a2 * acc3; + + /* Sample 4. 5 cycles */ + acc4 = b0 * Xn4 + d1; + d1 = b1 * Xn4 + d2; + d2 = b2 * Xn4; + d1 += a1 * acc4; + d2 += a2 * acc4; + + /* Sample 5. 5 cycles */ + acc5 = b0 * Xn5 + d1; + d1 = b1 * Xn5 + d2; + d2 = b2 * Xn5; + d1 += a1 * acc5; + d2 += a2 * acc5; + + /* Sample 6. 5 cycles */ + acc6 = b0 * Xn6 + d1; + d1 = b1 * Xn6 + d2; + d2 = b2 * Xn6; + d1 += a1 * acc6; + d2 += a2 * acc6; + + /* Sample 7. 5 cycles */ + acc7 = b0 * Xn7 + d1; + d1 = b1 * Xn7 + d2; + d2 = b2 * Xn7; + d1 += a1 * acc7; + d2 += a2 * acc7; + + /* Sample 8. 5 cycles */ + acc8 = b0 * Xn8 + d1; + d1 = b1 * Xn8 + d2; + d2 = b2 * Xn8; + d1 += a1 * acc8; + d2 += a2 * acc8; + + /* Sample 9. 5 cycles */ + acc9 = b0 * Xn9 + d1; + d1 = b1 * Xn9 + d2; + d2 = b2 * Xn9; + d1 += a1 * acc9; + d2 += a2 * acc9; + + /* Sample 10. 5 cycles */ + acc10 = b0 * Xn10 + d1; + d1 = b1 * Xn10 + d2; + d2 = b2 * Xn10; + d1 += a1 * acc10; + d2 += a2 * acc10; + + /* Sample 11. 5 cycles */ + acc11 = b0 * Xn11 + d1; + d1 = b1 * Xn11 + d2; + d2 = b2 * Xn11; + d1 += a1 * acc11; + d2 += a2 * acc11; + + /* Sample 12. 5 cycles */ + acc12 = b0 * Xn12 + d1; + d1 = b1 * Xn12 + d2; + d2 = b2 * Xn12; + d1 += a1 * acc12; + d2 += a2 * acc12; + + /* Sample 13. 5 cycles */ + acc13 = b0 * Xn13 + d1; + d1 = b1 * Xn13 + d2; + d2 = b2 * Xn13; + + pOut[0 ] = acc1 ; + d1 += a1 * acc13; + + pOut[1 ] = acc2 ; + d2 += a2 * acc13; + + /* Sample 14. 5 cycles */ + pOut[2 ] = acc3 ; + acc14 = b0 * Xn14 + d1; + + pOut[3 ] = acc4 ; + d1 = b1 * Xn14 + d2; + + pOut[4 ] = acc5 ; + d2 = b2 * Xn14; + + pOut[5 ] = acc6 ; + d1 += a1 * acc14; + + pOut[6 ] = acc7 ; + d2 += a2 * acc14; + + /* Sample 15. 5 cycles */ + pOut[7 ] = acc8 ; + pOut[8 ] = acc9 ; + acc15 = b0 * Xn15 + d1; + + pOut[9 ] = acc10; + d1 = b1 * Xn15 + d2; + + pOut[10] = acc11; + d2 = b2 * Xn15; + + pOut[11] = acc12; + d1 += a1 * acc15; + + pOut[12] = acc13; + d2 += a2 * acc15; + + /* Sample 16. 5 cycles */ + pOut[13] = acc14; + acc16 = b0 * Xn16 + d1; + + pOut[14] = acc15; + d1 = b1 * Xn16 + d2; + + pOut[15] = acc16; + d2 = b2 * Xn16; + + sample--; + d1 += a1 * acc16; + + pOut += 16; + d2 += a2 * acc16; + } + + sample = blockSize & 0xFu; + while (sample > 0U) { + Xn1 = *pIn; + acc1 = b0 * Xn1 + d1; + + pIn++; + d1 = b1 * Xn1 + d2; + + *pOut = acc1; + d2 = b2 * Xn1; + + pOut++; + d1 += a1 * acc1; + + sample--; + d2 += a2 * acc1; + } + + /* Store the updated state variables back into the state array */ + pState[0] = d1; + /* The current stage input is given as the output to the next stage */ + pIn = pDst; + + pState[1] = d2; + /* decrement the loop counter */ + stage--; + + pState += 2U; + + /*Reset the output working pointer */ + pOut = pDst; + + } while (stage > 0U); + +#elif defined(ARM_MATH_CM0_FAMILY) + + /* Run the below code for Cortex-M0 */ + + do + { + /* Reading the coefficients */ + b0 = *pCoeffs++; + b1 = *pCoeffs++; + b2 = *pCoeffs++; + a1 = *pCoeffs++; + a2 = *pCoeffs++; + + /*Reading the state values */ + d1 = pState[0]; + d2 = pState[1]; + + + sample = blockSize; + + while (sample > 0U) + { + /* Read the input */ + Xn1 = *pIn++; + + /* y[n] = b0 * x[n] + d1 */ + acc1 = (b0 * Xn1) + d1; + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = acc1; + + /* Every time after the output is computed state should be updated. */ + /* d1 = b1 * x[n] + a1 * y[n] + d2 */ + d1 = ((b1 * Xn1) + (a1 * acc1)) + d2; + + /* d2 = b2 * x[n] + a2 * y[n] */ + d2 = (b2 * Xn1) + (a2 * acc1); + + /* decrement the loop counter */ + sample--; + } + + /* Store the updated state variables back into the state array */ + *pState++ = d1; + *pState++ = d2; + + /* The current stage input is given as the output to the next stage */ + pIn = pDst; + + /*Reset the output working pointer */ + pOut = pDst; + + /* decrement the loop counter */ + stage--; + + } while (stage > 0U); + +#else + + float32_t Xn2, Xn3, Xn4; /* Input State variables */ + float32_t acc2, acc3, acc4; /* accumulator */ + + + float32_t p0, p1, p2, p3, p4, A1; + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + do + { + /* Reading the coefficients */ + b0 = *pCoeffs++; + b1 = *pCoeffs++; + b2 = *pCoeffs++; + a1 = *pCoeffs++; + a2 = *pCoeffs++; + + + /*Reading the state values */ + d1 = pState[0]; + d2 = pState[1]; + + /* Apply loop unrolling and compute 4 output values simultaneously. */ + sample = blockSize >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (sample > 0U) { + + /* y[n] = b0 * x[n] + d1 */ + /* d1 = b1 * x[n] + a1 * y[n] + d2 */ + /* d2 = b2 * x[n] + a2 * y[n] */ + + /* Read the four inputs */ + Xn1 = pIn[0]; + Xn2 = pIn[1]; + Xn3 = pIn[2]; + Xn4 = pIn[3]; + pIn += 4; + + p0 = b0 * Xn1; + p1 = b1 * Xn1; + acc1 = p0 + d1; + p0 = b0 * Xn2; + p3 = a1 * acc1; + p2 = b2 * Xn1; + A1 = p1 + p3; + p4 = a2 * acc1; + d1 = A1 + d2; + d2 = p2 + p4; + + p1 = b1 * Xn2; + acc2 = p0 + d1; + p0 = b0 * Xn3; + p3 = a1 * acc2; + p2 = b2 * Xn2; + A1 = p1 + p3; + p4 = a2 * acc2; + d1 = A1 + d2; + d2 = p2 + p4; + + p1 = b1 * Xn3; + acc3 = p0 + d1; + p0 = b0 * Xn4; + p3 = a1 * acc3; + p2 = b2 * Xn3; + A1 = p1 + p3; + p4 = a2 * acc3; + d1 = A1 + d2; + d2 = p2 + p4; + + acc4 = p0 + d1; + p1 = b1 * Xn4; + p3 = a1 * acc4; + p2 = b2 * Xn4; + A1 = p1 + p3; + p4 = a2 * acc4; + d1 = A1 + d2; + d2 = p2 + p4; + + pOut[0] = acc1; + pOut[1] = acc2; + pOut[2] = acc3; + pOut[3] = acc4; + pOut += 4; + + sample--; + } + + sample = blockSize & 0x3U; + while (sample > 0U) { + Xn1 = *pIn++; + + p0 = b0 * Xn1; + p1 = b1 * Xn1; + acc1 = p0 + d1; + p3 = a1 * acc1; + p2 = b2 * Xn1; + A1 = p1 + p3; + p4 = a2 * acc1; + d1 = A1 + d2; + d2 = p2 + p4; + + *pOut++ = acc1; + + sample--; + } + + /* Store the updated state variables back into the state array */ + *pState++ = d1; + *pState++ = d2; + + /* The current stage input is given as the output to the next stage */ + pIn = pDst; + + /*Reset the output working pointer */ + pOut = pDst; + + /* decrement the loop counter */ + stage--; + + } while (stage > 0U); + +#endif + +} +LOW_OPTIMIZATION_EXIT + +/** + * @} end of BiquadCascadeDF2T group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df2T_f64.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df2T_f64.c new file mode 100644 index 0000000..8f8a830 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df2T_f64.c @@ -0,0 +1,590 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_biquad_cascade_df2T_f64.c + * Description: Processing function for floating-point transposed direct form II Biquad cascade filter + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** +* @ingroup groupFilters +*/ + +/** +* @defgroup BiquadCascadeDF2T Biquad Cascade IIR Filters Using a Direct Form II Transposed Structure +* +* This set of functions implements arbitrary order recursive (IIR) filters using a transposed direct form II structure. +* The filters are implemented as a cascade of second order Biquad sections. +* These functions provide a slight memory savings as compared to the direct form I Biquad filter functions. +* Only floating-point data is supported. +* +* This function operate on blocks of input and output data and each call to the function +* processes blockSize samples through the filter. +* pSrc points to the array of input data and +* pDst points to the array of output data. +* Both arrays contain blockSize values. +* +* \par Algorithm +* Each Biquad stage implements a second order filter using the difference equation: +*
+*    y[n] = b0 * x[n] + d1
+*    d1 = b1 * x[n] + a1 * y[n] + d2
+*    d2 = b2 * x[n] + a2 * y[n]
+* 
+* where d1 and d2 represent the two state values. +* +* \par +* A Biquad filter using a transposed Direct Form II structure is shown below. +* \image html BiquadDF2Transposed.gif "Single transposed Direct Form II Biquad" +* Coefficients b0, b1, and b2 multiply the input signal x[n] and are referred to as the feedforward coefficients. +* Coefficients a1 and a2 multiply the output signal y[n] and are referred to as the feedback coefficients. +* Pay careful attention to the sign of the feedback coefficients. +* Some design tools flip the sign of the feedback coefficients: +*
+*    y[n] = b0 * x[n] + d1;
+*    d1 = b1 * x[n] - a1 * y[n] + d2;
+*    d2 = b2 * x[n] - a2 * y[n];
+* 
+* In this case the feedback coefficients a1 and a2 must be negated when used with the CMSIS DSP Library. +* +* \par +* Higher order filters are realized as a cascade of second order sections. +* numStages refers to the number of second order stages used. +* For example, an 8th order filter would be realized with numStages=4 second order stages. +* A 9th order filter would be realized with numStages=5 second order stages with the +* coefficients for one of the stages configured as a first order filter (b2=0 and a2=0). +* +* \par +* pState points to the state variable array. +* Each Biquad stage has 2 state variables d1 and d2. +* The state variables are arranged in the pState array as: +*
+*     {d11, d12, d21, d22, ...}
+* 
+* where d1x refers to the state variables for the first Biquad and +* d2x refers to the state variables for the second Biquad. +* The state array has a total length of 2*numStages values. +* The state variables are updated after each block of data is processed; the coefficients are untouched. +* +* \par +* The CMSIS library contains Biquad filters in both Direct Form I and transposed Direct Form II. +* The advantage of the Direct Form I structure is that it is numerically more robust for fixed-point data types. +* That is why the Direct Form I structure supports Q15 and Q31 data types. +* The transposed Direct Form II structure, on the other hand, requires a wide dynamic range for the state variables d1 and d2. +* Because of this, the CMSIS library only has a floating-point version of the Direct Form II Biquad. +* The advantage of the Direct Form II Biquad is that it requires half the number of state variables, 2 rather than 4, per Biquad stage. +* +* \par Instance Structure +* The coefficients and state variables for a filter are stored together in an instance data structure. +* A separate instance structure must be defined for each filter. +* Coefficient arrays may be shared among several instances while state variable arrays cannot be shared. +* +* \par Init Functions +* There is also an associated initialization function. +* The initialization function performs following operations: +* - Sets the values of the internal structure fields. +* - Zeros out the values in the state buffer. +* To do this manually without calling the init function, assign the follow subfields of the instance structure: +* numStages, pCoeffs, pState. Also set all of the values in pState to zero. +* +* \par +* Use of the initialization function is optional. +* However, if the initialization function is used, then the instance structure cannot be placed into a const data section. +* To place an instance structure into a const data section, the instance structure must be manually initialized. +* Set the values in the state buffer to zeros before static initialization. +* For example, to statically initialize the instance structure use +*
+*     arm_biquad_cascade_df2T_instance_f64 S1 = {numStages, pState, pCoeffs};
+* 
+* where numStages is the number of Biquad stages in the filter; pState is the address of the state buffer. +* pCoeffs is the address of the coefficient buffer; +* +*/ + +/** +* @addtogroup BiquadCascadeDF2T +* @{ +*/ + +/** +* @brief Processing function for the floating-point transposed direct form II Biquad cascade filter. +* @param[in] *S points to an instance of the filter data structure. +* @param[in] *pSrc points to the block of input data. +* @param[out] *pDst points to the block of output data +* @param[in] blockSize number of samples to process. +* @return none. +*/ + + +LOW_OPTIMIZATION_ENTER +void arm_biquad_cascade_df2T_f64( +const arm_biquad_cascade_df2T_instance_f64 * S, +float64_t * pSrc, +float64_t * pDst, +uint32_t blockSize) +{ + + float64_t *pIn = pSrc; /* source pointer */ + float64_t *pOut = pDst; /* destination pointer */ + float64_t *pState = S->pState; /* State pointer */ + float64_t *pCoeffs = S->pCoeffs; /* coefficient pointer */ + float64_t acc1; /* accumulator */ + float64_t b0, b1, b2, a1, a2; /* Filter coefficients */ + float64_t Xn1; /* temporary input */ + float64_t d1, d2; /* state variables */ + uint32_t sample, stage = S->numStages; /* loop counters */ + +#if defined(ARM_MATH_CM7) + + float64_t Xn2, Xn3, Xn4, Xn5, Xn6, Xn7, Xn8; /* Input State variables */ + float64_t Xn9, Xn10, Xn11, Xn12, Xn13, Xn14, Xn15, Xn16; + float64_t acc2, acc3, acc4, acc5, acc6, acc7; /* Simulates the accumulator */ + float64_t acc8, acc9, acc10, acc11, acc12, acc13, acc14, acc15, acc16; + + do + { + /* Reading the coefficients */ + b0 = pCoeffs[0]; + b1 = pCoeffs[1]; + b2 = pCoeffs[2]; + a1 = pCoeffs[3]; + /* Apply loop unrolling and compute 16 output values simultaneously. */ + sample = blockSize >> 4U; + a2 = pCoeffs[4]; + + /*Reading the state values */ + d1 = pState[0]; + d2 = pState[1]; + + pCoeffs += 5U; + + + /* First part of the processing with loop unrolling. Compute 16 outputs at a time. + ** a second loop below computes the remaining 1 to 15 samples. */ + while (sample > 0U) { + + /* y[n] = b0 * x[n] + d1 */ + /* d1 = b1 * x[n] + a1 * y[n] + d2 */ + /* d2 = b2 * x[n] + a2 * y[n] */ + + /* Read the first 2 inputs. 2 cycles */ + Xn1 = pIn[0 ]; + Xn2 = pIn[1 ]; + + /* Sample 1. 5 cycles */ + Xn3 = pIn[2 ]; + acc1 = b0 * Xn1 + d1; + + Xn4 = pIn[3 ]; + d1 = b1 * Xn1 + d2; + + Xn5 = pIn[4 ]; + d2 = b2 * Xn1; + + Xn6 = pIn[5 ]; + d1 += a1 * acc1; + + Xn7 = pIn[6 ]; + d2 += a2 * acc1; + + /* Sample 2. 5 cycles */ + Xn8 = pIn[7 ]; + acc2 = b0 * Xn2 + d1; + + Xn9 = pIn[8 ]; + d1 = b1 * Xn2 + d2; + + Xn10 = pIn[9 ]; + d2 = b2 * Xn2; + + Xn11 = pIn[10]; + d1 += a1 * acc2; + + Xn12 = pIn[11]; + d2 += a2 * acc2; + + /* Sample 3. 5 cycles */ + Xn13 = pIn[12]; + acc3 = b0 * Xn3 + d1; + + Xn14 = pIn[13]; + d1 = b1 * Xn3 + d2; + + Xn15 = pIn[14]; + d2 = b2 * Xn3; + + Xn16 = pIn[15]; + d1 += a1 * acc3; + + pIn += 16; + d2 += a2 * acc3; + + /* Sample 4. 5 cycles */ + acc4 = b0 * Xn4 + d1; + d1 = b1 * Xn4 + d2; + d2 = b2 * Xn4; + d1 += a1 * acc4; + d2 += a2 * acc4; + + /* Sample 5. 5 cycles */ + acc5 = b0 * Xn5 + d1; + d1 = b1 * Xn5 + d2; + d2 = b2 * Xn5; + d1 += a1 * acc5; + d2 += a2 * acc5; + + /* Sample 6. 5 cycles */ + acc6 = b0 * Xn6 + d1; + d1 = b1 * Xn6 + d2; + d2 = b2 * Xn6; + d1 += a1 * acc6; + d2 += a2 * acc6; + + /* Sample 7. 5 cycles */ + acc7 = b0 * Xn7 + d1; + d1 = b1 * Xn7 + d2; + d2 = b2 * Xn7; + d1 += a1 * acc7; + d2 += a2 * acc7; + + /* Sample 8. 5 cycles */ + acc8 = b0 * Xn8 + d1; + d1 = b1 * Xn8 + d2; + d2 = b2 * Xn8; + d1 += a1 * acc8; + d2 += a2 * acc8; + + /* Sample 9. 5 cycles */ + acc9 = b0 * Xn9 + d1; + d1 = b1 * Xn9 + d2; + d2 = b2 * Xn9; + d1 += a1 * acc9; + d2 += a2 * acc9; + + /* Sample 10. 5 cycles */ + acc10 = b0 * Xn10 + d1; + d1 = b1 * Xn10 + d2; + d2 = b2 * Xn10; + d1 += a1 * acc10; + d2 += a2 * acc10; + + /* Sample 11. 5 cycles */ + acc11 = b0 * Xn11 + d1; + d1 = b1 * Xn11 + d2; + d2 = b2 * Xn11; + d1 += a1 * acc11; + d2 += a2 * acc11; + + /* Sample 12. 5 cycles */ + acc12 = b0 * Xn12 + d1; + d1 = b1 * Xn12 + d2; + d2 = b2 * Xn12; + d1 += a1 * acc12; + d2 += a2 * acc12; + + /* Sample 13. 5 cycles */ + acc13 = b0 * Xn13 + d1; + d1 = b1 * Xn13 + d2; + d2 = b2 * Xn13; + + pOut[0 ] = acc1 ; + d1 += a1 * acc13; + + pOut[1 ] = acc2 ; + d2 += a2 * acc13; + + /* Sample 14. 5 cycles */ + pOut[2 ] = acc3 ; + acc14 = b0 * Xn14 + d1; + + pOut[3 ] = acc4 ; + d1 = b1 * Xn14 + d2; + + pOut[4 ] = acc5 ; + d2 = b2 * Xn14; + + pOut[5 ] = acc6 ; + d1 += a1 * acc14; + + pOut[6 ] = acc7 ; + d2 += a2 * acc14; + + /* Sample 15. 5 cycles */ + pOut[7 ] = acc8 ; + pOut[8 ] = acc9 ; + acc15 = b0 * Xn15 + d1; + + pOut[9 ] = acc10; + d1 = b1 * Xn15 + d2; + + pOut[10] = acc11; + d2 = b2 * Xn15; + + pOut[11] = acc12; + d1 += a1 * acc15; + + pOut[12] = acc13; + d2 += a2 * acc15; + + /* Sample 16. 5 cycles */ + pOut[13] = acc14; + acc16 = b0 * Xn16 + d1; + + pOut[14] = acc15; + d1 = b1 * Xn16 + d2; + + pOut[15] = acc16; + d2 = b2 * Xn16; + + sample--; + d1 += a1 * acc16; + + pOut += 16; + d2 += a2 * acc16; + } + + sample = blockSize & 0xFu; + while (sample > 0U) { + Xn1 = *pIn; + acc1 = b0 * Xn1 + d1; + + pIn++; + d1 = b1 * Xn1 + d2; + + *pOut = acc1; + d2 = b2 * Xn1; + + pOut++; + d1 += a1 * acc1; + + sample--; + d2 += a2 * acc1; + } + + /* Store the updated state variables back into the state array */ + pState[0] = d1; + /* The current stage input is given as the output to the next stage */ + pIn = pDst; + + pState[1] = d2; + /* decrement the loop counter */ + stage--; + + pState += 2U; + + /*Reset the output working pointer */ + pOut = pDst; + + } while (stage > 0U); + +#elif defined(ARM_MATH_CM0_FAMILY) + + /* Run the below code for Cortex-M0 */ + + do + { + /* Reading the coefficients */ + b0 = *pCoeffs++; + b1 = *pCoeffs++; + b2 = *pCoeffs++; + a1 = *pCoeffs++; + a2 = *pCoeffs++; + + /*Reading the state values */ + d1 = pState[0]; + d2 = pState[1]; + + + sample = blockSize; + + while (sample > 0U) + { + /* Read the input */ + Xn1 = *pIn++; + + /* y[n] = b0 * x[n] + d1 */ + acc1 = (b0 * Xn1) + d1; + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = acc1; + + /* Every time after the output is computed state should be updated. */ + /* d1 = b1 * x[n] + a1 * y[n] + d2 */ + d1 = ((b1 * Xn1) + (a1 * acc1)) + d2; + + /* d2 = b2 * x[n] + a2 * y[n] */ + d2 = (b2 * Xn1) + (a2 * acc1); + + /* decrement the loop counter */ + sample--; + } + + /* Store the updated state variables back into the state array */ + *pState++ = d1; + *pState++ = d2; + + /* The current stage input is given as the output to the next stage */ + pIn = pDst; + + /*Reset the output working pointer */ + pOut = pDst; + + /* decrement the loop counter */ + stage--; + + } while (stage > 0U); + +#else + + float64_t Xn2, Xn3, Xn4; /* Input State variables */ + float64_t acc2, acc3, acc4; /* accumulator */ + + + float64_t p0, p1, p2, p3, p4, A1; + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + do + { + /* Reading the coefficients */ + b0 = *pCoeffs++; + b1 = *pCoeffs++; + b2 = *pCoeffs++; + a1 = *pCoeffs++; + a2 = *pCoeffs++; + + + /*Reading the state values */ + d1 = pState[0]; + d2 = pState[1]; + + /* Apply loop unrolling and compute 4 output values simultaneously. */ + sample = blockSize >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (sample > 0U) { + + /* y[n] = b0 * x[n] + d1 */ + /* d1 = b1 * x[n] + a1 * y[n] + d2 */ + /* d2 = b2 * x[n] + a2 * y[n] */ + + /* Read the four inputs */ + Xn1 = pIn[0]; + Xn2 = pIn[1]; + Xn3 = pIn[2]; + Xn4 = pIn[3]; + pIn += 4; + + p0 = b0 * Xn1; + p1 = b1 * Xn1; + acc1 = p0 + d1; + p0 = b0 * Xn2; + p3 = a1 * acc1; + p2 = b2 * Xn1; + A1 = p1 + p3; + p4 = a2 * acc1; + d1 = A1 + d2; + d2 = p2 + p4; + + p1 = b1 * Xn2; + acc2 = p0 + d1; + p0 = b0 * Xn3; + p3 = a1 * acc2; + p2 = b2 * Xn2; + A1 = p1 + p3; + p4 = a2 * acc2; + d1 = A1 + d2; + d2 = p2 + p4; + + p1 = b1 * Xn3; + acc3 = p0 + d1; + p0 = b0 * Xn4; + p3 = a1 * acc3; + p2 = b2 * Xn3; + A1 = p1 + p3; + p4 = a2 * acc3; + d1 = A1 + d2; + d2 = p2 + p4; + + acc4 = p0 + d1; + p1 = b1 * Xn4; + p3 = a1 * acc4; + p2 = b2 * Xn4; + A1 = p1 + p3; + p4 = a2 * acc4; + d1 = A1 + d2; + d2 = p2 + p4; + + pOut[0] = acc1; + pOut[1] = acc2; + pOut[2] = acc3; + pOut[3] = acc4; + pOut += 4; + + sample--; + } + + sample = blockSize & 0x3U; + while (sample > 0U) { + Xn1 = *pIn++; + + p0 = b0 * Xn1; + p1 = b1 * Xn1; + acc1 = p0 + d1; + p3 = a1 * acc1; + p2 = b2 * Xn1; + A1 = p1 + p3; + p4 = a2 * acc1; + d1 = A1 + d2; + d2 = p2 + p4; + + *pOut++ = acc1; + + sample--; + } + + /* Store the updated state variables back into the state array */ + *pState++ = d1; + *pState++ = d2; + + /* The current stage input is given as the output to the next stage */ + pIn = pDst; + + /*Reset the output working pointer */ + pOut = pDst; + + /* decrement the loop counter */ + stage--; + + } while (stage > 0U); + +#endif + +} +LOW_OPTIMIZATION_EXIT + +/** + * @} end of BiquadCascadeDF2T group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df2T_init_f32.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df2T_init_f32.c new file mode 100644 index 0000000..6dfc985 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df2T_init_f32.c @@ -0,0 +1,89 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_biquad_cascade_df2T_init_f32.c + * Description: Initialization function for floating-point transposed direct form II Biquad cascade filter + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupFilters + */ + +/** + * @addtogroup BiquadCascadeDF2T + * @{ + */ + +/** + * @brief Initialization function for the floating-point transposed direct form II Biquad cascade filter. + * @param[in,out] *S points to an instance of the filter data structure. + * @param[in] numStages number of 2nd order stages in the filter. + * @param[in] *pCoeffs points to the filter coefficients. + * @param[in] *pState points to the state buffer. + * @return none + * + * Coefficient and State Ordering: + * \par + * The coefficients are stored in the array pCoeffs in the following order: + *
+ *     {b10, b11, b12, a11, a12, b20, b21, b22, a21, a22, ...}
+ * 
+ * + * \par + * where b1x and a1x are the coefficients for the first stage, + * b2x and a2x are the coefficients for the second stage, + * and so on. The pCoeffs array contains a total of 5*numStages values. + * + * \par + * The pState is a pointer to state array. + * Each Biquad stage has 2 state variables d1, and d2. + * The 2 state variables for stage 1 are first, then the 2 state variables for stage 2, and so on. + * The state array has a total length of 2*numStages values. + * The state variables are updated after each block of data is processed; the coefficients are untouched. + */ + +void arm_biquad_cascade_df2T_init_f32( + arm_biquad_cascade_df2T_instance_f32 * S, + uint8_t numStages, + float32_t * pCoeffs, + float32_t * pState) +{ + /* Assign filter stages */ + S->numStages = numStages; + + /* Assign coefficient pointer */ + S->pCoeffs = pCoeffs; + + /* Clear state buffer and size is always 2 * numStages */ + memset(pState, 0, (2U * (uint32_t) numStages) * sizeof(float32_t)); + + /* Assign state pointer */ + S->pState = pState; +} + +/** + * @} end of BiquadCascadeDF2T group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df2T_init_f64.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df2T_init_f64.c new file mode 100644 index 0000000..8141da5 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df2T_init_f64.c @@ -0,0 +1,89 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_biquad_cascade_df2T_init_f64.c + * Description: Initialization function for floating-point transposed direct form II Biquad cascade filter + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupFilters + */ + +/** + * @addtogroup BiquadCascadeDF2T + * @{ + */ + +/** + * @brief Initialization function for the floating-point transposed direct form II Biquad cascade filter. + * @param[in,out] *S points to an instance of the filter data structure. + * @param[in] numStages number of 2nd order stages in the filter. + * @param[in] *pCoeffs points to the filter coefficients. + * @param[in] *pState points to the state buffer. + * @return none + * + * Coefficient and State Ordering: + * \par + * The coefficients are stored in the array pCoeffs in the following order: + *
+ *     {b10, b11, b12, a11, a12, b20, b21, b22, a21, a22, ...}
+ * 
+ * + * \par + * where b1x and a1x are the coefficients for the first stage, + * b2x and a2x are the coefficients for the second stage, + * and so on. The pCoeffs array contains a total of 5*numStages values. + * + * \par + * The pState is a pointer to state array. + * Each Biquad stage has 2 state variables d1, and d2. + * The 2 state variables for stage 1 are first, then the 2 state variables for stage 2, and so on. + * The state array has a total length of 2*numStages values. + * The state variables are updated after each block of data is processed; the coefficients are untouched. + */ + +void arm_biquad_cascade_df2T_init_f64( + arm_biquad_cascade_df2T_instance_f64 * S, + uint8_t numStages, + float64_t * pCoeffs, + float64_t * pState) +{ + /* Assign filter stages */ + S->numStages = numStages; + + /* Assign coefficient pointer */ + S->pCoeffs = pCoeffs; + + /* Clear state buffer and size is always 2 * numStages */ + memset(pState, 0, (2U * (uint32_t) numStages) * sizeof(float64_t)); + + /* Assign state pointer */ + S->pState = pState; +} + +/** + * @} end of BiquadCascadeDF2T group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_stereo_df2T_f32.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_stereo_df2T_f32.c new file mode 100644 index 0000000..36084e5 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_stereo_df2T_f32.c @@ -0,0 +1,670 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_biquad_cascade_stereo_df2T_f32.c + * Description: Processing function for floating-point transposed direct form II Biquad cascade filter. 2 channels + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** +* @ingroup groupFilters +*/ + +/** +* @defgroup BiquadCascadeDF2T Biquad Cascade IIR Filters Using a Direct Form II Transposed Structure +* +* This set of functions implements arbitrary order recursive (IIR) filters using a transposed direct form II structure. +* The filters are implemented as a cascade of second order Biquad sections. +* These functions provide a slight memory savings as compared to the direct form I Biquad filter functions. +* Only floating-point data is supported. +* +* This function operate on blocks of input and output data and each call to the function +* processes blockSize samples through the filter. +* pSrc points to the array of input data and +* pDst points to the array of output data. +* Both arrays contain blockSize values. +* +* \par Algorithm +* Each Biquad stage implements a second order filter using the difference equation: +*
+*    y[n] = b0 * x[n] + d1
+*    d1 = b1 * x[n] + a1 * y[n] + d2
+*    d2 = b2 * x[n] + a2 * y[n]
+* 
+* where d1 and d2 represent the two state values. +* +* \par +* A Biquad filter using a transposed Direct Form II structure is shown below. +* \image html BiquadDF2Transposed.gif "Single transposed Direct Form II Biquad" +* Coefficients b0, b1, and b2 multiply the input signal x[n] and are referred to as the feedforward coefficients. +* Coefficients a1 and a2 multiply the output signal y[n] and are referred to as the feedback coefficients. +* Pay careful attention to the sign of the feedback coefficients. +* Some design tools flip the sign of the feedback coefficients: +*
+*    y[n] = b0 * x[n] + d1;
+*    d1 = b1 * x[n] - a1 * y[n] + d2;
+*    d2 = b2 * x[n] - a2 * y[n];
+* 
+* In this case the feedback coefficients a1 and a2 must be negated when used with the CMSIS DSP Library. +* +* \par +* Higher order filters are realized as a cascade of second order sections. +* numStages refers to the number of second order stages used. +* For example, an 8th order filter would be realized with numStages=4 second order stages. +* A 9th order filter would be realized with numStages=5 second order stages with the +* coefficients for one of the stages configured as a first order filter (b2=0 and a2=0). +* +* \par +* pState points to the state variable array. +* Each Biquad stage has 2 state variables d1 and d2. +* The state variables are arranged in the pState array as: +*
+*     {d11, d12, d21, d22, ...}
+* 
+* where d1x refers to the state variables for the first Biquad and +* d2x refers to the state variables for the second Biquad. +* The state array has a total length of 2*numStages values. +* The state variables are updated after each block of data is processed; the coefficients are untouched. +* +* \par +* The CMSIS library contains Biquad filters in both Direct Form I and transposed Direct Form II. +* The advantage of the Direct Form I structure is that it is numerically more robust for fixed-point data types. +* That is why the Direct Form I structure supports Q15 and Q31 data types. +* The transposed Direct Form II structure, on the other hand, requires a wide dynamic range for the state variables d1 and d2. +* Because of this, the CMSIS library only has a floating-point version of the Direct Form II Biquad. +* The advantage of the Direct Form II Biquad is that it requires half the number of state variables, 2 rather than 4, per Biquad stage. +* +* \par Instance Structure +* The coefficients and state variables for a filter are stored together in an instance data structure. +* A separate instance structure must be defined for each filter. +* Coefficient arrays may be shared among several instances while state variable arrays cannot be shared. +* +* \par Init Functions +* There is also an associated initialization function. +* The initialization function performs following operations: +* - Sets the values of the internal structure fields. +* - Zeros out the values in the state buffer. +* To do this manually without calling the init function, assign the follow subfields of the instance structure: +* numStages, pCoeffs, pState. Also set all of the values in pState to zero. +* +* \par +* Use of the initialization function is optional. +* However, if the initialization function is used, then the instance structure cannot be placed into a const data section. +* To place an instance structure into a const data section, the instance structure must be manually initialized. +* Set the values in the state buffer to zeros before static initialization. +* For example, to statically initialize the instance structure use +*
+*     arm_biquad_cascade_df2T_instance_f32 S1 = {numStages, pState, pCoeffs};
+* 
+* where numStages is the number of Biquad stages in the filter; pState is the address of the state buffer. +* pCoeffs is the address of the coefficient buffer; +* +*/ + +/** +* @addtogroup BiquadCascadeDF2T +* @{ +*/ + +/** +* @brief Processing function for the floating-point transposed direct form II Biquad cascade filter. +* @param[in] *S points to an instance of the filter data structure. +* @param[in] *pSrc points to the block of input data. +* @param[out] *pDst points to the block of output data +* @param[in] blockSize number of samples to process. +* @return none. +*/ + + +LOW_OPTIMIZATION_ENTER +void arm_biquad_cascade_stereo_df2T_f32( +const arm_biquad_cascade_stereo_df2T_instance_f32 * S, +float32_t * pSrc, +float32_t * pDst, +uint32_t blockSize) +{ + + float32_t *pIn = pSrc; /* source pointer */ + float32_t *pOut = pDst; /* destination pointer */ + float32_t *pState = S->pState; /* State pointer */ + float32_t *pCoeffs = S->pCoeffs; /* coefficient pointer */ + float32_t acc1a, acc1b; /* accumulator */ + float32_t b0, b1, b2, a1, a2; /* Filter coefficients */ + float32_t Xn1a, Xn1b; /* temporary input */ + float32_t d1a, d2a, d1b, d2b; /* state variables */ + uint32_t sample, stage = S->numStages; /* loop counters */ + +#if defined(ARM_MATH_CM7) + + float32_t Xn2a, Xn3a, Xn4a, Xn5a, Xn6a, Xn7a, Xn8a; /* Input State variables */ + float32_t Xn2b, Xn3b, Xn4b, Xn5b, Xn6b, Xn7b, Xn8b; /* Input State variables */ + float32_t acc2a, acc3a, acc4a, acc5a, acc6a, acc7a, acc8a; /* Simulates the accumulator */ + float32_t acc2b, acc3b, acc4b, acc5b, acc6b, acc7b, acc8b; /* Simulates the accumulator */ + + do + { + /* Reading the coefficients */ + b0 = pCoeffs[0]; + b1 = pCoeffs[1]; + b2 = pCoeffs[2]; + a1 = pCoeffs[3]; + /* Apply loop unrolling and compute 8 output values simultaneously. */ + sample = blockSize >> 3U; + a2 = pCoeffs[4]; + + /*Reading the state values */ + d1a = pState[0]; + d2a = pState[1]; + d1b = pState[2]; + d2b = pState[3]; + + pCoeffs += 5U; + + /* First part of the processing with loop unrolling. Compute 8 outputs at a time. + ** a second loop below computes the remaining 1 to 7 samples. */ + while (sample > 0U) { + + /* y[n] = b0 * x[n] + d1 */ + /* d1 = b1 * x[n] + a1 * y[n] + d2 */ + /* d2 = b2 * x[n] + a2 * y[n] */ + + /* Read the first 2 inputs. 2 cycles */ + Xn1a = pIn[0 ]; + Xn1b = pIn[1 ]; + + /* Sample 1. 5 cycles */ + Xn2a = pIn[2 ]; + acc1a = b0 * Xn1a + d1a; + + Xn2b = pIn[3 ]; + d1a = b1 * Xn1a + d2a; + + Xn3a = pIn[4 ]; + d2a = b2 * Xn1a; + + Xn3b = pIn[5 ]; + d1a += a1 * acc1a; + + Xn4a = pIn[6 ]; + d2a += a2 * acc1a; + + /* Sample 2. 5 cycles */ + Xn4b = pIn[7 ]; + acc1b = b0 * Xn1b + d1b; + + Xn5a = pIn[8 ]; + d1b = b1 * Xn1b + d2b; + + Xn5b = pIn[9 ]; + d2b = b2 * Xn1b; + + Xn6a = pIn[10]; + d1b += a1 * acc1b; + + Xn6b = pIn[11]; + d2b += a2 * acc1b; + + /* Sample 3. 5 cycles */ + Xn7a = pIn[12]; + acc2a = b0 * Xn2a + d1a; + + Xn7b = pIn[13]; + d1a = b1 * Xn2a + d2a; + + Xn8a = pIn[14]; + d2a = b2 * Xn2a; + + Xn8b = pIn[15]; + d1a += a1 * acc2a; + + pIn += 16; + d2a += a2 * acc2a; + + /* Sample 4. 5 cycles */ + acc2b = b0 * Xn2b + d1b; + d1b = b1 * Xn2b + d2b; + d2b = b2 * Xn2b; + d1b += a1 * acc2b; + d2b += a2 * acc2b; + + /* Sample 5. 5 cycles */ + acc3a = b0 * Xn3a + d1a; + d1a = b1 * Xn3a + d2a; + d2a = b2 * Xn3a; + d1a += a1 * acc3a; + d2a += a2 * acc3a; + + /* Sample 6. 5 cycles */ + acc3b = b0 * Xn3b + d1b; + d1b = b1 * Xn3b + d2b; + d2b = b2 * Xn3b; + d1b += a1 * acc3b; + d2b += a2 * acc3b; + + /* Sample 7. 5 cycles */ + acc4a = b0 * Xn4a + d1a; + d1a = b1 * Xn4a + d2a; + d2a = b2 * Xn4a; + d1a += a1 * acc4a; + d2a += a2 * acc4a; + + /* Sample 8. 5 cycles */ + acc4b = b0 * Xn4b + d1b; + d1b = b1 * Xn4b + d2b; + d2b = b2 * Xn4b; + d1b += a1 * acc4b; + d2b += a2 * acc4b; + + /* Sample 9. 5 cycles */ + acc5a = b0 * Xn5a + d1a; + d1a = b1 * Xn5a + d2a; + d2a = b2 * Xn5a; + d1a += a1 * acc5a; + d2a += a2 * acc5a; + + /* Sample 10. 5 cycles */ + acc5b = b0 * Xn5b + d1b; + d1b = b1 * Xn5b + d2b; + d2b = b2 * Xn5b; + d1b += a1 * acc5b; + d2b += a2 * acc5b; + + /* Sample 11. 5 cycles */ + acc6a = b0 * Xn6a + d1a; + d1a = b1 * Xn6a + d2a; + d2a = b2 * Xn6a; + d1a += a1 * acc6a; + d2a += a2 * acc6a; + + /* Sample 12. 5 cycles */ + acc6b = b0 * Xn6b + d1b; + d1b = b1 * Xn6b + d2b; + d2b = b2 * Xn6b; + d1b += a1 * acc6b; + d2b += a2 * acc6b; + + /* Sample 13. 5 cycles */ + acc7a = b0 * Xn7a + d1a; + d1a = b1 * Xn7a + d2a; + + pOut[0 ] = acc1a ; + d2a = b2 * Xn7a; + + pOut[1 ] = acc1b ; + d1a += a1 * acc7a; + + pOut[2 ] = acc2a ; + d2a += a2 * acc7a; + + /* Sample 14. 5 cycles */ + pOut[3 ] = acc2b ; + acc7b = b0 * Xn7b + d1b; + + pOut[4 ] = acc3a ; + d1b = b1 * Xn7b + d2b; + + pOut[5 ] = acc3b ; + d2b = b2 * Xn7b; + + pOut[6 ] = acc4a ; + d1b += a1 * acc7b; + + pOut[7 ] = acc4b ; + d2b += a2 * acc7b; + + /* Sample 15. 5 cycles */ + pOut[8 ] = acc5a ; + acc8a = b0 * Xn8a + d1a; + + pOut[9 ] = acc5b; + d1a = b1 * Xn8a + d2a; + + pOut[10] = acc6a; + d2a = b2 * Xn8a; + + pOut[11] = acc6b; + d1a += a1 * acc8a; + + pOut[12] = acc7a; + d2a += a2 * acc8a; + + /* Sample 16. 5 cycles */ + pOut[13] = acc7b; + acc8b = b0 * Xn8b + d1b; + + pOut[14] = acc8a; + d1b = b1 * Xn8b + d2b; + + pOut[15] = acc8b; + d2b = b2 * Xn8b; + + sample--; + d1b += a1 * acc8b; + + pOut += 16; + d2b += a2 * acc8b; + } + + sample = blockSize & 0x7U; + while (sample > 0U) { + /* Read the input */ + Xn1a = *pIn++; //Channel a + Xn1b = *pIn++; //Channel b + + /* y[n] = b0 * x[n] + d1 */ + acc1a = (b0 * Xn1a) + d1a; + acc1b = (b0 * Xn1b) + d1b; + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = acc1a; + *pOut++ = acc1b; + + /* Every time after the output is computed state should be updated. */ + /* d1 = b1 * x[n] + a1 * y[n] + d2 */ + d1a = ((b1 * Xn1a) + (a1 * acc1a)) + d2a; + d1b = ((b1 * Xn1b) + (a1 * acc1b)) + d2b; + + /* d2 = b2 * x[n] + a2 * y[n] */ + d2a = (b2 * Xn1a) + (a2 * acc1a); + d2b = (b2 * Xn1b) + (a2 * acc1b); + + sample--; + } + + /* Store the updated state variables back into the state array */ + pState[0] = d1a; + pState[1] = d2a; + + pState[2] = d1b; + pState[3] = d2b; + + /* The current stage input is given as the output to the next stage */ + pIn = pDst; + /* decrement the loop counter */ + stage--; + + pState += 4U; + /*Reset the output working pointer */ + pOut = pDst; + + } while (stage > 0U); + +#elif defined(ARM_MATH_CM0_FAMILY) + + /* Run the below code for Cortex-M0 */ + + do + { + /* Reading the coefficients */ + b0 = *pCoeffs++; + b1 = *pCoeffs++; + b2 = *pCoeffs++; + a1 = *pCoeffs++; + a2 = *pCoeffs++; + + /*Reading the state values */ + d1a = pState[0]; + d2a = pState[1]; + d1b = pState[2]; + d2b = pState[3]; + + + sample = blockSize; + + while (sample > 0U) + { + /* Read the input */ + Xn1a = *pIn++; //Channel a + Xn1b = *pIn++; //Channel b + + /* y[n] = b0 * x[n] + d1 */ + acc1a = (b0 * Xn1a) + d1a; + acc1b = (b0 * Xn1b) + d1b; + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = acc1a; + *pOut++ = acc1b; + + /* Every time after the output is computed state should be updated. */ + /* d1 = b1 * x[n] + a1 * y[n] + d2 */ + d1a = ((b1 * Xn1a) + (a1 * acc1a)) + d2a; + d1b = ((b1 * Xn1b) + (a1 * acc1b)) + d2b; + + /* d2 = b2 * x[n] + a2 * y[n] */ + d2a = (b2 * Xn1a) + (a2 * acc1a); + d2b = (b2 * Xn1b) + (a2 * acc1b); + + /* decrement the loop counter */ + sample--; + } + + /* Store the updated state variables back into the state array */ + *pState++ = d1a; + *pState++ = d2a; + *pState++ = d1b; + *pState++ = d2b; + + /* The current stage input is given as the output to the next stage */ + pIn = pDst; + + /*Reset the output working pointer */ + pOut = pDst; + + /* decrement the loop counter */ + stage--; + + } while (stage > 0U); + +#else + + float32_t Xn2a, Xn3a, Xn4a; /* Input State variables */ + float32_t Xn2b, Xn3b, Xn4b; /* Input State variables */ + float32_t acc2a, acc3a, acc4a; /* accumulator */ + float32_t acc2b, acc3b, acc4b; /* accumulator */ + float32_t p0a, p1a, p2a, p3a, p4a, A1a; + float32_t p0b, p1b, p2b, p3b, p4b, A1b; + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + do + { + /* Reading the coefficients */ + b0 = *pCoeffs++; + b1 = *pCoeffs++; + b2 = *pCoeffs++; + a1 = *pCoeffs++; + a2 = *pCoeffs++; + + /*Reading the state values */ + d1a = pState[0]; + d2a = pState[1]; + d1b = pState[2]; + d2b = pState[3]; + + /* Apply loop unrolling and compute 4 output values simultaneously. */ + sample = blockSize >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (sample > 0U) { + + /* y[n] = b0 * x[n] + d1 */ + /* d1 = b1 * x[n] + a1 * y[n] + d2 */ + /* d2 = b2 * x[n] + a2 * y[n] */ + + /* Read the four inputs */ + Xn1a = pIn[0]; + Xn1b = pIn[1]; + Xn2a = pIn[2]; + Xn2b = pIn[3]; + Xn3a = pIn[4]; + Xn3b = pIn[5]; + Xn4a = pIn[6]; + Xn4b = pIn[7]; + pIn += 8; + + p0a = b0 * Xn1a; + p0b = b0 * Xn1b; + p1a = b1 * Xn1a; + p1b = b1 * Xn1b; + acc1a = p0a + d1a; + acc1b = p0b + d1b; + p0a = b0 * Xn2a; + p0b = b0 * Xn2b; + p3a = a1 * acc1a; + p3b = a1 * acc1b; + p2a = b2 * Xn1a; + p2b = b2 * Xn1b; + A1a = p1a + p3a; + A1b = p1b + p3b; + p4a = a2 * acc1a; + p4b = a2 * acc1b; + d1a = A1a + d2a; + d1b = A1b + d2b; + d2a = p2a + p4a; + d2b = p2b + p4b; + + p1a = b1 * Xn2a; + p1b = b1 * Xn2b; + acc2a = p0a + d1a; + acc2b = p0b + d1b; + p0a = b0 * Xn3a; + p0b = b0 * Xn3b; + p3a = a1 * acc2a; + p3b = a1 * acc2b; + p2a = b2 * Xn2a; + p2b = b2 * Xn2b; + A1a = p1a + p3a; + A1b = p1b + p3b; + p4a = a2 * acc2a; + p4b = a2 * acc2b; + d1a = A1a + d2a; + d1b = A1b + d2b; + d2a = p2a + p4a; + d2b = p2b + p4b; + + p1a = b1 * Xn3a; + p1b = b1 * Xn3b; + acc3a = p0a + d1a; + acc3b = p0b + d1b; + p0a = b0 * Xn4a; + p0b = b0 * Xn4b; + p3a = a1 * acc3a; + p3b = a1 * acc3b; + p2a = b2 * Xn3a; + p2b = b2 * Xn3b; + A1a = p1a + p3a; + A1b = p1b + p3b; + p4a = a2 * acc3a; + p4b = a2 * acc3b; + d1a = A1a + d2a; + d1b = A1b + d2b; + d2a = p2a + p4a; + d2b = p2b + p4b; + + acc4a = p0a + d1a; + acc4b = p0b + d1b; + p1a = b1 * Xn4a; + p1b = b1 * Xn4b; + p3a = a1 * acc4a; + p3b = a1 * acc4b; + p2a = b2 * Xn4a; + p2b = b2 * Xn4b; + A1a = p1a + p3a; + A1b = p1b + p3b; + p4a = a2 * acc4a; + p4b = a2 * acc4b; + d1a = A1a + d2a; + d1b = A1b + d2b; + d2a = p2a + p4a; + d2b = p2b + p4b; + + pOut[0] = acc1a; + pOut[1] = acc1b; + pOut[2] = acc2a; + pOut[3] = acc2b; + pOut[4] = acc3a; + pOut[5] = acc3b; + pOut[6] = acc4a; + pOut[7] = acc4b; + pOut += 8; + + sample--; + } + + sample = blockSize & 0x3U; + while (sample > 0U) { + Xn1a = *pIn++; + Xn1b = *pIn++; + + p0a = b0 * Xn1a; + p0b = b0 * Xn1b; + p1a = b1 * Xn1a; + p1b = b1 * Xn1b; + acc1a = p0a + d1a; + acc1b = p0b + d1b; + p3a = a1 * acc1a; + p3b = a1 * acc1b; + p2a = b2 * Xn1a; + p2b = b2 * Xn1b; + A1a = p1a + p3a; + A1b = p1b + p3b; + p4a = a2 * acc1a; + p4b = a2 * acc1b; + d1a = A1a + d2a; + d1b = A1b + d2b; + d2a = p2a + p4a; + d2b = p2b + p4b; + + *pOut++ = acc1a; + *pOut++ = acc1b; + + sample--; + } + + /* Store the updated state variables back into the state array */ + *pState++ = d1a; + *pState++ = d2a; + *pState++ = d1b; + *pState++ = d2b; + + /* The current stage input is given as the output to the next stage */ + pIn = pDst; + + /*Reset the output working pointer */ + pOut = pDst; + + /* decrement the loop counter */ + stage--; + + } while (stage > 0U); + +#endif + +} +LOW_OPTIMIZATION_EXIT + +/** + * @} end of BiquadCascadeDF2T group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_stereo_df2T_init_f32.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_stereo_df2T_init_f32.c new file mode 100644 index 0000000..b847c6e --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_stereo_df2T_init_f32.c @@ -0,0 +1,89 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_biquad_cascade_stereo_df2T_init_f32.c + * Description: Initialization function for floating-point transposed direct form II Biquad cascade filter + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupFilters + */ + +/** + * @addtogroup BiquadCascadeDF2T + * @{ + */ + +/** + * @brief Initialization function for the floating-point transposed direct form II Biquad cascade filter. + * @param[in,out] *S points to an instance of the filter data structure. + * @param[in] numStages number of 2nd order stages in the filter. + * @param[in] *pCoeffs points to the filter coefficients. + * @param[in] *pState points to the state buffer. + * @return none + * + * Coefficient and State Ordering: + * \par + * The coefficients are stored in the array pCoeffs in the following order: + *
+ *     {b10, b11, b12, a11, a12, b20, b21, b22, a21, a22, ...}
+ * 
+ * + * \par + * where b1x and a1x are the coefficients for the first stage, + * b2x and a2x are the coefficients for the second stage, + * and so on. The pCoeffs array contains a total of 5*numStages values. + * + * \par + * The pState is a pointer to state array. + * Each Biquad stage has 2 state variables d1, and d2 for each channel. + * The 2 state variables for stage 1 are first, then the 2 state variables for stage 2, and so on. + * The state array has a total length of 2*numStages values. + * The state variables are updated after each block of data is processed; the coefficients are untouched. + */ + +void arm_biquad_cascade_stereo_df2T_init_f32( + arm_biquad_cascade_stereo_df2T_instance_f32 * S, + uint8_t numStages, + float32_t * pCoeffs, + float32_t * pState) +{ + /* Assign filter stages */ + S->numStages = numStages; + + /* Assign coefficient pointer */ + S->pCoeffs = pCoeffs; + + /* Clear state buffer and size is always 4 * numStages */ + memset(pState, 0, (4U * (uint32_t) numStages) * sizeof(float32_t)); + + /* Assign state pointer */ + S->pState = pState; +} + +/** + * @} end of BiquadCascadeDF2T group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_f32.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_f32.c new file mode 100644 index 0000000..906f7ab --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_f32.c @@ -0,0 +1,635 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_conv_f32.c + * Description: Convolution of floating-point sequences + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupFilters + */ + +/** + * @defgroup Conv Convolution + * + * Convolution is a mathematical operation that operates on two finite length vectors to generate a finite length output vector. + * Convolution is similar to correlation and is frequently used in filtering and data analysis. + * The CMSIS DSP library contains functions for convolving Q7, Q15, Q31, and floating-point data types. + * The library also provides fast versions of the Q15 and Q31 functions on Cortex-M4 and Cortex-M3. + * + * \par Algorithm + * Let a[n] and b[n] be sequences of length srcALen and srcBLen samples respectively. + * Then the convolution + * + *
+ *                   c[n] = a[n] * b[n]
+ * 
+ * + * \par + * is defined as + * \image html ConvolutionEquation.gif + * \par + * Note that c[n] is of length srcALen + srcBLen - 1 and is defined over the interval n=0, 1, 2, ..., srcALen + srcBLen - 2. + * pSrcA points to the first input vector of length srcALen and + * pSrcB points to the second input vector of length srcBLen. + * The output result is written to pDst and the calling function must allocate srcALen+srcBLen-1 words for the result. + * + * \par + * Conceptually, when two signals a[n] and b[n] are convolved, + * the signal b[n] slides over a[n]. + * For each offset \c n, the overlapping portions of a[n] and b[n] are multiplied and summed together. + * + * \par + * Note that convolution is a commutative operation: + * + *
+ *                   a[n] * b[n] = b[n] * a[n].
+ * 
+ * + * \par + * This means that switching the A and B arguments to the convolution functions has no effect. + * + * Fixed-Point Behavior + * + * \par + * Convolution requires summing up a large number of intermediate products. + * As such, the Q7, Q15, and Q31 functions run a risk of overflow and saturation. + * Refer to the function specific documentation below for further details of the particular algorithm used. + * + * + * Fast Versions + * + * \par + * Fast versions are supported for Q31 and Q15. Cycles for Fast versions are less compared to Q31 and Q15 of conv and the design requires + * the input signals should be scaled down to avoid intermediate overflows. + * + * + * Opt Versions + * + * \par + * Opt versions are supported for Q15 and Q7. Design uses internal scratch buffer for getting good optimisation. + * These versions are optimised in cycles and consumes more memory(Scratch memory) compared to Q15 and Q7 versions + */ + +/** + * @addtogroup Conv + * @{ + */ + +/** + * @brief Convolution of floating-point sequences. + * @param[in] *pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] *pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] *pDst points to the location where the output result is written. Length srcALen+srcBLen-1. + * @return none. + */ + +void arm_conv_f32( + float32_t * pSrcA, + uint32_t srcALen, + float32_t * pSrcB, + uint32_t srcBLen, + float32_t * pDst) +{ + + +#if defined (ARM_MATH_DSP) + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + float32_t *pIn1; /* inputA pointer */ + float32_t *pIn2; /* inputB pointer */ + float32_t *pOut = pDst; /* output pointer */ + float32_t *px; /* Intermediate inputA pointer */ + float32_t *py; /* Intermediate inputB pointer */ + float32_t *pSrc1, *pSrc2; /* Intermediate pointers */ + float32_t sum, acc0, acc1, acc2, acc3; /* Accumulator */ + float32_t x0, x1, x2, x3, c0; /* Temporary variables to hold state and coefficient values */ + uint32_t j, k, count, blkCnt, blockSize1, blockSize2, blockSize3; /* loop counters */ + + /* The algorithm implementation is based on the lengths of the inputs. */ + /* srcB is always made to slide across srcA. */ + /* So srcBLen is always considered as shorter or equal to srcALen */ + if (srcALen >= srcBLen) + { + /* Initialization of inputA pointer */ + pIn1 = pSrcA; + + /* Initialization of inputB pointer */ + pIn2 = pSrcB; + } + else + { + /* Initialization of inputA pointer */ + pIn1 = pSrcB; + + /* Initialization of inputB pointer */ + pIn2 = pSrcA; + + /* srcBLen is always considered as shorter or equal to srcALen */ + j = srcBLen; + srcBLen = srcALen; + srcALen = j; + } + + /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */ + /* The function is internally + * divided into three stages according to the number of multiplications that has to be + * taken place between inputA samples and inputB samples. In the first stage of the + * algorithm, the multiplications increase by one for every iteration. + * In the second stage of the algorithm, srcBLen number of multiplications are done. + * In the third stage of the algorithm, the multiplications decrease by one + * for every iteration. */ + + /* The algorithm is implemented in three stages. + The loop counters of each stage is initiated here. */ + blockSize1 = srcBLen - 1U; + blockSize2 = srcALen - (srcBLen - 1U); + blockSize3 = blockSize1; + + /* -------------------------- + * initializations of stage1 + * -------------------------*/ + + /* sum = x[0] * y[0] + * sum = x[0] * y[1] + x[1] * y[0] + * .... + * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0] + */ + + /* In this stage the MAC operations are increased by 1 for every iteration. + The count variable holds the number of MAC operations performed */ + count = 1U; + + /* Working pointer of inputA */ + px = pIn1; + + /* Working pointer of inputB */ + py = pIn2; + + + /* ------------------------ + * Stage1 process + * ----------------------*/ + + /* The first stage starts here */ + while (blockSize1 > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0.0f; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = count >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* x[0] * y[srcBLen - 1] */ + sum += *px++ * *py--; + + /* x[1] * y[srcBLen - 2] */ + sum += *px++ * *py--; + + /* x[2] * y[srcBLen - 3] */ + sum += *px++ * *py--; + + /* x[3] * y[srcBLen - 4] */ + sum += *px++ * *py--; + + /* Decrement the loop counter */ + k--; + } + + /* If the count is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = count % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum += *px++ * *py--; + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = sum; + + /* Update the inputA and inputB pointers for next MAC calculation */ + py = pIn2 + count; + px = pIn1; + + /* Increment the MAC count */ + count++; + + /* Decrement the loop counter */ + blockSize1--; + } + + /* -------------------------- + * Initializations of stage2 + * ------------------------*/ + + /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0] + * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0] + * .... + * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0] + */ + + /* Working pointer of inputA */ + px = pIn1; + + /* Working pointer of inputB */ + pSrc2 = pIn2 + (srcBLen - 1U); + py = pSrc2; + + /* count is index by which the pointer pIn1 to be incremented */ + count = 0U; + + /* ------------------- + * Stage2 process + * ------------------*/ + + /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed. + * So, to loop unroll over blockSize2, + * srcBLen should be greater than or equal to 4 */ + if (srcBLen >= 4U) + { + /* Loop unroll over blockSize2, by 4 */ + blkCnt = blockSize2 >> 2U; + + while (blkCnt > 0U) + { + /* Set all accumulators to zero */ + acc0 = 0.0f; + acc1 = 0.0f; + acc2 = 0.0f; + acc3 = 0.0f; + + /* read x[0], x[1], x[2] samples */ + x0 = *(px++); + x1 = *(px++); + x2 = *(px++); + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = srcBLen >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + do + { + /* Read y[srcBLen - 1] sample */ + c0 = *(py--); + + /* Read x[3] sample */ + x3 = *(px); + + /* Perform the multiply-accumulate */ + /* acc0 += x[0] * y[srcBLen - 1] */ + acc0 += x0 * c0; + + /* acc1 += x[1] * y[srcBLen - 1] */ + acc1 += x1 * c0; + + /* acc2 += x[2] * y[srcBLen - 1] */ + acc2 += x2 * c0; + + /* acc3 += x[3] * y[srcBLen - 1] */ + acc3 += x3 * c0; + + /* Read y[srcBLen - 2] sample */ + c0 = *(py--); + + /* Read x[4] sample */ + x0 = *(px + 1U); + + /* Perform the multiply-accumulate */ + /* acc0 += x[1] * y[srcBLen - 2] */ + acc0 += x1 * c0; + /* acc1 += x[2] * y[srcBLen - 2] */ + acc1 += x2 * c0; + /* acc2 += x[3] * y[srcBLen - 2] */ + acc2 += x3 * c0; + /* acc3 += x[4] * y[srcBLen - 2] */ + acc3 += x0 * c0; + + /* Read y[srcBLen - 3] sample */ + c0 = *(py--); + + /* Read x[5] sample */ + x1 = *(px + 2U); + + /* Perform the multiply-accumulates */ + /* acc0 += x[2] * y[srcBLen - 3] */ + acc0 += x2 * c0; + /* acc1 += x[3] * y[srcBLen - 2] */ + acc1 += x3 * c0; + /* acc2 += x[4] * y[srcBLen - 2] */ + acc2 += x0 * c0; + /* acc3 += x[5] * y[srcBLen - 2] */ + acc3 += x1 * c0; + + /* Read y[srcBLen - 4] sample */ + c0 = *(py--); + + /* Read x[6] sample */ + x2 = *(px + 3U); + px += 4U; + + /* Perform the multiply-accumulates */ + /* acc0 += x[3] * y[srcBLen - 4] */ + acc0 += x3 * c0; + /* acc1 += x[4] * y[srcBLen - 4] */ + acc1 += x0 * c0; + /* acc2 += x[5] * y[srcBLen - 4] */ + acc2 += x1 * c0; + /* acc3 += x[6] * y[srcBLen - 4] */ + acc3 += x2 * c0; + + + } while (--k); + + /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = srcBLen % 0x4U; + + while (k > 0U) + { + /* Read y[srcBLen - 5] sample */ + c0 = *(py--); + + /* Read x[7] sample */ + x3 = *(px++); + + /* Perform the multiply-accumulates */ + /* acc0 += x[4] * y[srcBLen - 5] */ + acc0 += x0 * c0; + /* acc1 += x[5] * y[srcBLen - 5] */ + acc1 += x1 * c0; + /* acc2 += x[6] * y[srcBLen - 5] */ + acc2 += x2 * c0; + /* acc3 += x[7] * y[srcBLen - 5] */ + acc3 += x3 * c0; + + /* Reuse the present samples for the next MAC */ + x0 = x1; + x1 = x2; + x2 = x3; + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = acc0; + *pOut++ = acc1; + *pOut++ = acc2; + *pOut++ = acc3; + + /* Increment the pointer pIn1 index, count by 4 */ + count += 4U; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pSrc2; + + + /* Decrement the loop counter */ + blkCnt--; + } + + + /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize2 % 0x4U; + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0.0f; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = srcBLen >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum += *px++ * *py--; + sum += *px++ * *py--; + sum += *px++ * *py--; + sum += *px++ * *py--; + + /* Decrement the loop counter */ + k--; + } + + /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = srcBLen % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum += *px++ * *py--; + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = sum; + + /* Increment the MAC count */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pSrc2; + + /* Decrement the loop counter */ + blkCnt--; + } + } + else + { + /* If the srcBLen is not a multiple of 4, + * the blockSize2 loop cannot be unrolled by 4 */ + blkCnt = blockSize2; + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0.0f; + + /* srcBLen number of MACS should be performed */ + k = srcBLen; + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum += *px++ * *py--; + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = sum; + + /* Increment the MAC count */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pSrc2; + + /* Decrement the loop counter */ + blkCnt--; + } + } + + + /* -------------------------- + * Initializations of stage3 + * -------------------------*/ + + /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1] + * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2] + * .... + * sum += x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2] + * sum += x[srcALen-1] * y[srcBLen-1] + */ + + /* In this stage the MAC operations are decreased by 1 for every iteration. + The blockSize3 variable holds the number of MAC operations performed */ + + /* Working pointer of inputA */ + pSrc1 = (pIn1 + srcALen) - (srcBLen - 1U); + px = pSrc1; + + /* Working pointer of inputB */ + pSrc2 = pIn2 + (srcBLen - 1U); + py = pSrc2; + + /* ------------------- + * Stage3 process + * ------------------*/ + + while (blockSize3 > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0.0f; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = blockSize3 >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* sum += x[srcALen - srcBLen + 1] * y[srcBLen - 1] */ + sum += *px++ * *py--; + + /* sum += x[srcALen - srcBLen + 2] * y[srcBLen - 2] */ + sum += *px++ * *py--; + + /* sum += x[srcALen - srcBLen + 3] * y[srcBLen - 3] */ + sum += *px++ * *py--; + + /* sum += x[srcALen - srcBLen + 4] * y[srcBLen - 4] */ + sum += *px++ * *py--; + + /* Decrement the loop counter */ + k--; + } + + /* If the blockSize3 is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = blockSize3 % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + /* sum += x[srcALen-1] * y[srcBLen-1] */ + sum += *px++ * *py--; + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = sum; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = ++pSrc1; + py = pSrc2; + + /* Decrement the loop counter */ + blockSize3--; + } + +#else + + /* Run the below code for Cortex-M0 */ + + float32_t *pIn1 = pSrcA; /* inputA pointer */ + float32_t *pIn2 = pSrcB; /* inputB pointer */ + float32_t sum; /* Accumulator */ + uint32_t i, j; /* loop counters */ + + /* Loop to calculate convolution for output length number of times */ + for (i = 0U; i < ((srcALen + srcBLen) - 1U); i++) + { + /* Initialize sum with zero to carry out MAC operations */ + sum = 0.0f; + + /* Loop to perform MAC operations according to convolution equation */ + for (j = 0U; j <= i; j++) + { + /* Check the array limitations */ + if ((((i - j) < srcBLen) && (j < srcALen))) + { + /* z[i] += x[i-j] * y[j] */ + sum += pIn1[j] * pIn2[i - j]; + } + } + /* Store the output in the destination buffer */ + pDst[i] = sum; + } + +#endif /* #if defined (ARM_MATH_DSP) */ + +} + +/** + * @} end of Conv group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_fast_opt_q15.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_fast_opt_q15.c new file mode 100644 index 0000000..26c37f0 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_fast_opt_q15.c @@ -0,0 +1,531 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_conv_fast_opt_q15.c + * Description: Fast Q15 Convolution + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupFilters + */ + +/** + * @addtogroup Conv + * @{ + */ + +/** + * @brief Convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4. + * @param[in] *pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] *pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] *pDst points to the location where the output result is written. Length srcALen+srcBLen-1. + * @param[in] *pScratch1 points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2. + * @param[in] *pScratch2 points to scratch buffer of size min(srcALen, srcBLen). + * @return none. + * + * \par Restrictions + * If the silicon does not support unaligned memory access enable the macro UNALIGNED_SUPPORT_DISABLE + * In this case input, output, scratch1 and scratch2 buffers should be aligned by 32-bit + * + * Scaling and Overflow Behavior: + * + * \par + * This fast version uses a 32-bit accumulator with 2.30 format. + * The accumulator maintains full precision of the intermediate multiplication results + * but provides only a single guard bit. There is no saturation on intermediate additions. + * Thus, if the accumulator overflows it wraps around and distorts the result. + * The input signals should be scaled down to avoid intermediate overflows. + * Scale down the inputs by log2(min(srcALen, srcBLen)) (log2 is read as log to the base 2) times to avoid overflows, + * as maximum of min(srcALen, srcBLen) number of additions are carried internally. + * The 2.30 accumulator is right shifted by 15 bits and then saturated to 1.15 format to yield the final result. + * + * \par + * See arm_conv_q15() for a slower implementation of this function which uses 64-bit accumulation to avoid wrap around distortion. + */ + +void arm_conv_fast_opt_q15( + q15_t * pSrcA, + uint32_t srcALen, + q15_t * pSrcB, + uint32_t srcBLen, + q15_t * pDst, + q15_t * pScratch1, + q15_t * pScratch2) +{ + q31_t acc0, acc1, acc2, acc3; /* Accumulators */ + q31_t x1, x2, x3; /* Temporary variables to hold state and coefficient values */ + q31_t y1, y2; /* State variables */ + q15_t *pOut = pDst; /* output pointer */ + q15_t *pScr1 = pScratch1; /* Temporary pointer for scratch1 */ + q15_t *pScr2 = pScratch2; /* Temporary pointer for scratch1 */ + q15_t *pIn1; /* inputA pointer */ + q15_t *pIn2; /* inputB pointer */ + q15_t *px; /* Intermediate inputA pointer */ + q15_t *py; /* Intermediate inputB pointer */ + uint32_t j, k, blkCnt; /* loop counter */ + uint32_t tapCnt; /* loop count */ +#ifdef UNALIGNED_SUPPORT_DISABLE + + q15_t a, b; + +#endif /* #ifdef UNALIGNED_SUPPORT_DISABLE */ + + /* The algorithm implementation is based on the lengths of the inputs. */ + /* srcB is always made to slide across srcA. */ + /* So srcBLen is always considered as shorter or equal to srcALen */ + if (srcALen >= srcBLen) + { + /* Initialization of inputA pointer */ + pIn1 = pSrcA; + + /* Initialization of inputB pointer */ + pIn2 = pSrcB; + } + else + { + /* Initialization of inputA pointer */ + pIn1 = pSrcB; + + /* Initialization of inputB pointer */ + pIn2 = pSrcA; + + /* srcBLen is always considered as shorter or equal to srcALen */ + j = srcBLen; + srcBLen = srcALen; + srcALen = j; + } + + /* Pointer to take end of scratch2 buffer */ + pScr2 = pScratch2 + srcBLen - 1; + + /* points to smaller length sequence */ + px = pIn2; + + /* Apply loop unrolling and do 4 Copies simultaneously. */ + k = srcBLen >> 2U; + + /* First part of the processing with loop unrolling copies 4 data points at a time. + ** a second loop below copies for the remaining 1 to 3 samples. */ + + /* Copy smaller length input sequence in reverse order into second scratch buffer */ + while (k > 0U) + { + /* copy second buffer in reversal manner */ + *pScr2-- = *px++; + *pScr2-- = *px++; + *pScr2-- = *px++; + *pScr2-- = *px++; + + /* Decrement the loop counter */ + k--; + } + + /* If the count is not a multiple of 4, copy remaining samples here. + ** No loop unrolling is used. */ + k = srcBLen % 0x4U; + + while (k > 0U) + { + /* copy second buffer in reversal manner for remaining samples */ + *pScr2-- = *px++; + + /* Decrement the loop counter */ + k--; + } + + /* Initialze temporary scratch pointer */ + pScr1 = pScratch1; + + /* Assuming scratch1 buffer is aligned by 32-bit */ + /* Fill (srcBLen - 1U) zeros in scratch1 buffer */ + arm_fill_q15(0, pScr1, (srcBLen - 1U)); + + /* Update temporary scratch pointer */ + pScr1 += (srcBLen - 1U); + + /* Copy bigger length sequence(srcALen) samples in scratch1 buffer */ + +#ifndef UNALIGNED_SUPPORT_DISABLE + + /* Copy (srcALen) samples in scratch buffer */ + arm_copy_q15(pIn1, pScr1, srcALen); + + /* Update pointers */ + pScr1 += srcALen; + +#else + + /* Apply loop unrolling and do 4 Copies simultaneously. */ + k = srcALen >> 2U; + + /* First part of the processing with loop unrolling copies 4 data points at a time. + ** a second loop below copies for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* copy second buffer in reversal manner */ + *pScr1++ = *pIn1++; + *pScr1++ = *pIn1++; + *pScr1++ = *pIn1++; + *pScr1++ = *pIn1++; + + /* Decrement the loop counter */ + k--; + } + + /* If the count is not a multiple of 4, copy remaining samples here. + ** No loop unrolling is used. */ + k = srcALen % 0x4U; + + while (k > 0U) + { + /* copy second buffer in reversal manner for remaining samples */ + *pScr1++ = *pIn1++; + + /* Decrement the loop counter */ + k--; + } + +#endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */ + + +#ifndef UNALIGNED_SUPPORT_DISABLE + + /* Fill (srcBLen - 1U) zeros at end of scratch buffer */ + arm_fill_q15(0, pScr1, (srcBLen - 1U)); + + /* Update pointer */ + pScr1 += (srcBLen - 1U); + +#else + + /* Apply loop unrolling and do 4 Copies simultaneously. */ + k = (srcBLen - 1U) >> 2U; + + /* First part of the processing with loop unrolling copies 4 data points at a time. + ** a second loop below copies for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* copy second buffer in reversal manner */ + *pScr1++ = 0; + *pScr1++ = 0; + *pScr1++ = 0; + *pScr1++ = 0; + + /* Decrement the loop counter */ + k--; + } + + /* If the count is not a multiple of 4, copy remaining samples here. + ** No loop unrolling is used. */ + k = (srcBLen - 1U) % 0x4U; + + while (k > 0U) + { + /* copy second buffer in reversal manner for remaining samples */ + *pScr1++ = 0; + + /* Decrement the loop counter */ + k--; + } + +#endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */ + + /* Temporary pointer for scratch2 */ + py = pScratch2; + + + /* Initialization of pIn2 pointer */ + pIn2 = py; + + /* First part of the processing with loop unrolling process 4 data points at a time. + ** a second loop below process for the remaining 1 to 3 samples. */ + + /* Actual convolution process starts here */ + blkCnt = (srcALen + srcBLen - 1U) >> 2; + + while (blkCnt > 0) + { + /* Initialze temporary scratch pointer as scratch1 */ + pScr1 = pScratch1; + + /* Clear Accumlators */ + acc0 = 0; + acc1 = 0; + acc2 = 0; + acc3 = 0; + + /* Read two samples from scratch1 buffer */ + x1 = *__SIMD32(pScr1)++; + + /* Read next two samples from scratch1 buffer */ + x2 = *__SIMD32(pScr1)++; + + tapCnt = (srcBLen) >> 2U; + + while (tapCnt > 0U) + { + +#ifndef UNALIGNED_SUPPORT_DISABLE + + /* Read four samples from smaller buffer */ + y1 = _SIMD32_OFFSET(pIn2); + y2 = _SIMD32_OFFSET(pIn2 + 2U); + + /* multiply and accumlate */ + acc0 = __SMLAD(x1, y1, acc0); + acc2 = __SMLAD(x2, y1, acc2); + + /* pack input data */ +#ifndef ARM_MATH_BIG_ENDIAN + x3 = __PKHBT(x2, x1, 0); +#else + x3 = __PKHBT(x1, x2, 0); +#endif + + /* multiply and accumlate */ + acc1 = __SMLADX(x3, y1, acc1); + + /* Read next two samples from scratch1 buffer */ + x1 = _SIMD32_OFFSET(pScr1); + + /* multiply and accumlate */ + acc0 = __SMLAD(x2, y2, acc0); + acc2 = __SMLAD(x1, y2, acc2); + + /* pack input data */ +#ifndef ARM_MATH_BIG_ENDIAN + x3 = __PKHBT(x1, x2, 0); +#else + x3 = __PKHBT(x2, x1, 0); +#endif + + acc3 = __SMLADX(x3, y1, acc3); + acc1 = __SMLADX(x3, y2, acc1); + + x2 = _SIMD32_OFFSET(pScr1 + 2U); + +#ifndef ARM_MATH_BIG_ENDIAN + x3 = __PKHBT(x2, x1, 0); +#else + x3 = __PKHBT(x1, x2, 0); +#endif + + acc3 = __SMLADX(x3, y2, acc3); + +#else + + /* Read four samples from smaller buffer */ + a = *pIn2; + b = *(pIn2 + 1); + +#ifndef ARM_MATH_BIG_ENDIAN + y1 = __PKHBT(a, b, 16); +#else + y1 = __PKHBT(b, a, 16); +#endif + + a = *(pIn2 + 2); + b = *(pIn2 + 3); +#ifndef ARM_MATH_BIG_ENDIAN + y2 = __PKHBT(a, b, 16); +#else + y2 = __PKHBT(b, a, 16); +#endif + + acc0 = __SMLAD(x1, y1, acc0); + + acc2 = __SMLAD(x2, y1, acc2); + +#ifndef ARM_MATH_BIG_ENDIAN + x3 = __PKHBT(x2, x1, 0); +#else + x3 = __PKHBT(x1, x2, 0); +#endif + + acc1 = __SMLADX(x3, y1, acc1); + + a = *pScr1; + b = *(pScr1 + 1); + +#ifndef ARM_MATH_BIG_ENDIAN + x1 = __PKHBT(a, b, 16); +#else + x1 = __PKHBT(b, a, 16); +#endif + + acc0 = __SMLAD(x2, y2, acc0); + + acc2 = __SMLAD(x1, y2, acc2); + +#ifndef ARM_MATH_BIG_ENDIAN + x3 = __PKHBT(x1, x2, 0); +#else + x3 = __PKHBT(x2, x1, 0); +#endif + + acc3 = __SMLADX(x3, y1, acc3); + + acc1 = __SMLADX(x3, y2, acc1); + + a = *(pScr1 + 2); + b = *(pScr1 + 3); + +#ifndef ARM_MATH_BIG_ENDIAN + x2 = __PKHBT(a, b, 16); +#else + x2 = __PKHBT(b, a, 16); +#endif + +#ifndef ARM_MATH_BIG_ENDIAN + x3 = __PKHBT(x2, x1, 0); +#else + x3 = __PKHBT(x1, x2, 0); +#endif + + acc3 = __SMLADX(x3, y2, acc3); + +#endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */ + + /* update scratch pointers */ + pIn2 += 4U; + pScr1 += 4U; + + + /* Decrement the loop counter */ + tapCnt--; + } + + /* Update scratch pointer for remaining samples of smaller length sequence */ + pScr1 -= 4U; + + /* apply same above for remaining samples of smaller length sequence */ + tapCnt = (srcBLen) & 3U; + + while (tapCnt > 0U) + { + + /* accumlate the results */ + acc0 += (*pScr1++ * *pIn2); + acc1 += (*pScr1++ * *pIn2); + acc2 += (*pScr1++ * *pIn2); + acc3 += (*pScr1++ * *pIn2++); + + pScr1 -= 3U; + + /* Decrement the loop counter */ + tapCnt--; + } + + blkCnt--; + + + /* Store the results in the accumulators in the destination buffer. */ + +#ifndef ARM_MATH_BIG_ENDIAN + + *__SIMD32(pOut)++ = + __PKHBT(__SSAT((acc0 >> 15), 16), __SSAT((acc1 >> 15), 16), 16); + + *__SIMD32(pOut)++ = + __PKHBT(__SSAT((acc2 >> 15), 16), __SSAT((acc3 >> 15), 16), 16); + + +#else + + *__SIMD32(pOut)++ = + __PKHBT(__SSAT((acc1 >> 15), 16), __SSAT((acc0 >> 15), 16), 16); + + *__SIMD32(pOut)++ = + __PKHBT(__SSAT((acc3 >> 15), 16), __SSAT((acc2 >> 15), 16), 16); + + + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* Initialization of inputB pointer */ + pIn2 = py; + + pScratch1 += 4U; + + } + + + blkCnt = (srcALen + srcBLen - 1U) & 0x3; + + /* Calculate convolution for remaining samples of Bigger length sequence */ + while (blkCnt > 0) + { + /* Initialze temporary scratch pointer as scratch1 */ + pScr1 = pScratch1; + + /* Clear Accumlators */ + acc0 = 0; + + tapCnt = (srcBLen) >> 1U; + + while (tapCnt > 0U) + { + + acc0 += (*pScr1++ * *pIn2++); + acc0 += (*pScr1++ * *pIn2++); + + /* Decrement the loop counter */ + tapCnt--; + } + + tapCnt = (srcBLen) & 1U; + + /* apply same above for remaining samples of smaller length sequence */ + while (tapCnt > 0U) + { + + /* accumlate the results */ + acc0 += (*pScr1++ * *pIn2++); + + /* Decrement the loop counter */ + tapCnt--; + } + + blkCnt--; + + /* The result is in 2.30 format. Convert to 1.15 with saturation. + ** Then store the output in the destination buffer. */ + *pOut++ = (q15_t) (__SSAT((acc0 >> 15), 16)); + + /* Initialization of inputB pointer */ + pIn2 = py; + + pScratch1 += 1U; + + } + +} + +/** + * @} end of Conv group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_fast_q15.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_fast_q15.c new file mode 100644 index 0000000..16b0424 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_fast_q15.c @@ -0,0 +1,1398 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_conv_fast_q15.c + * Description: Fast Q15 Convolution + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupFilters + */ + +/** + * @addtogroup Conv + * @{ + */ + +/** + * @brief Convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4. + * @param[in] *pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] *pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] *pDst points to the location where the output result is written. Length srcALen+srcBLen-1. + * @return none. + * + * Scaling and Overflow Behavior: + * + * \par + * This fast version uses a 32-bit accumulator with 2.30 format. + * The accumulator maintains full precision of the intermediate multiplication results + * but provides only a single guard bit. There is no saturation on intermediate additions. + * Thus, if the accumulator overflows it wraps around and distorts the result. + * The input signals should be scaled down to avoid intermediate overflows. + * Scale down the inputs by log2(min(srcALen, srcBLen)) (log2 is read as log to the base 2) times to avoid overflows, + * as maximum of min(srcALen, srcBLen) number of additions are carried internally. + * The 2.30 accumulator is right shifted by 15 bits and then saturated to 1.15 format to yield the final result. + * + * \par + * See arm_conv_q15() for a slower implementation of this function which uses 64-bit accumulation to avoid wrap around distortion. + */ + +void arm_conv_fast_q15( + q15_t * pSrcA, + uint32_t srcALen, + q15_t * pSrcB, + uint32_t srcBLen, + q15_t * pDst) +{ +#ifndef UNALIGNED_SUPPORT_DISABLE + q15_t *pIn1; /* inputA pointer */ + q15_t *pIn2; /* inputB pointer */ + q15_t *pOut = pDst; /* output pointer */ + q31_t sum, acc0, acc1, acc2, acc3; /* Accumulator */ + q15_t *px; /* Intermediate inputA pointer */ + q15_t *py; /* Intermediate inputB pointer */ + q15_t *pSrc1, *pSrc2; /* Intermediate pointers */ + q31_t x0, x1, x2, x3, c0; /* Temporary variables to hold state and coefficient values */ + uint32_t blockSize1, blockSize2, blockSize3, j, k, count, blkCnt; /* loop counter */ + + /* The algorithm implementation is based on the lengths of the inputs. */ + /* srcB is always made to slide across srcA. */ + /* So srcBLen is always considered as shorter or equal to srcALen */ + if (srcALen >= srcBLen) + { + /* Initialization of inputA pointer */ + pIn1 = pSrcA; + + /* Initialization of inputB pointer */ + pIn2 = pSrcB; + } + else + { + /* Initialization of inputA pointer */ + pIn1 = pSrcB; + + /* Initialization of inputB pointer */ + pIn2 = pSrcA; + + /* srcBLen is always considered as shorter or equal to srcALen */ + j = srcBLen; + srcBLen = srcALen; + srcALen = j; + } + + /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */ + /* The function is internally + * divided into three stages according to the number of multiplications that has to be + * taken place between inputA samples and inputB samples. In the first stage of the + * algorithm, the multiplications increase by one for every iteration. + * In the second stage of the algorithm, srcBLen number of multiplications are done. + * In the third stage of the algorithm, the multiplications decrease by one + * for every iteration. */ + + /* The algorithm is implemented in three stages. + The loop counters of each stage is initiated here. */ + blockSize1 = srcBLen - 1U; + blockSize2 = srcALen - (srcBLen - 1U); + blockSize3 = blockSize1; + + /* -------------------------- + * Initializations of stage1 + * -------------------------*/ + + /* sum = x[0] * y[0] + * sum = x[0] * y[1] + x[1] * y[0] + * .... + * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0] + */ + + /* In this stage the MAC operations are increased by 1 for every iteration. + The count variable holds the number of MAC operations performed */ + count = 1U; + + /* Working pointer of inputA */ + px = pIn1; + + /* Working pointer of inputB */ + py = pIn2; + + + /* ------------------------ + * Stage1 process + * ----------------------*/ + + /* For loop unrolling by 4, this stage is divided into two. */ + /* First part of this stage computes the MAC operations less than 4 */ + /* Second part of this stage computes the MAC operations greater than or equal to 4 */ + + /* The first part of the stage starts here */ + while ((count < 4U) && (blockSize1 > 0U)) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Loop over number of MAC operations between + * inputA samples and inputB samples */ + k = count; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum = __SMLAD(*px++, *py--, sum); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q15_t) (sum >> 15); + + /* Update the inputA and inputB pointers for next MAC calculation */ + py = pIn2 + count; + px = pIn1; + + /* Increment the MAC count */ + count++; + + /* Decrement the loop counter */ + blockSize1--; + } + + /* The second part of the stage starts here */ + /* The internal loop, over count, is unrolled by 4 */ + /* To, read the last two inputB samples using SIMD: + * y[srcBLen] and y[srcBLen-1] coefficients, py is decremented by 1 */ + py = py - 1; + + while (blockSize1 > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = count >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* Perform the multiply-accumulates */ + /* x[0], x[1] are multiplied with y[srcBLen - 1], y[srcBLen - 2] respectively */ + sum = __SMLADX(*__SIMD32(px)++, *__SIMD32(py)--, sum); + /* x[2], x[3] are multiplied with y[srcBLen - 3], y[srcBLen - 4] respectively */ + sum = __SMLADX(*__SIMD32(px)++, *__SIMD32(py)--, sum); + + /* Decrement the loop counter */ + k--; + } + + /* For the next MAC operations, the pointer py is used without SIMD + * So, py is incremented by 1 */ + py = py + 1U; + + /* If the count is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = count % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum = __SMLAD(*px++, *py--, sum); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q15_t) (sum >> 15); + + /* Update the inputA and inputB pointers for next MAC calculation */ + py = pIn2 + (count - 1U); + px = pIn1; + + /* Increment the MAC count */ + count++; + + /* Decrement the loop counter */ + blockSize1--; + } + + /* -------------------------- + * Initializations of stage2 + * ------------------------*/ + + /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0] + * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0] + * .... + * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0] + */ + + /* Working pointer of inputA */ + px = pIn1; + + /* Working pointer of inputB */ + pSrc2 = pIn2 + (srcBLen - 1U); + py = pSrc2; + + /* count is the index by which the pointer pIn1 to be incremented */ + count = 0U; + + + /* -------------------- + * Stage2 process + * -------------------*/ + + /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed. + * So, to loop unroll over blockSize2, + * srcBLen should be greater than or equal to 4 */ + if (srcBLen >= 4U) + { + /* Loop unroll over blockSize2, by 4 */ + blkCnt = blockSize2 >> 2U; + + while (blkCnt > 0U) + { + py = py - 1U; + + /* Set all accumulators to zero */ + acc0 = 0; + acc1 = 0; + acc2 = 0; + acc3 = 0; + + + /* read x[0], x[1] samples */ + x0 = *__SIMD32(px); + /* read x[1], x[2] samples */ + x1 = _SIMD32_OFFSET(px+1); + px+= 2U; + + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = srcBLen >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + do + { + /* Read the last two inputB samples using SIMD: + * y[srcBLen - 1] and y[srcBLen - 2] */ + c0 = *__SIMD32(py)--; + + /* acc0 += x[0] * y[srcBLen - 1] + x[1] * y[srcBLen - 2] */ + acc0 = __SMLADX(x0, c0, acc0); + + /* acc1 += x[1] * y[srcBLen - 1] + x[2] * y[srcBLen - 2] */ + acc1 = __SMLADX(x1, c0, acc1); + + /* Read x[2], x[3] */ + x2 = *__SIMD32(px); + + /* Read x[3], x[4] */ + x3 = _SIMD32_OFFSET(px+1); + + /* acc2 += x[2] * y[srcBLen - 1] + x[3] * y[srcBLen - 2] */ + acc2 = __SMLADX(x2, c0, acc2); + + /* acc3 += x[3] * y[srcBLen - 1] + x[4] * y[srcBLen - 2] */ + acc3 = __SMLADX(x3, c0, acc3); + + /* Read y[srcBLen - 3] and y[srcBLen - 4] */ + c0 = *__SIMD32(py)--; + + /* acc0 += x[2] * y[srcBLen - 3] + x[3] * y[srcBLen - 4] */ + acc0 = __SMLADX(x2, c0, acc0); + + /* acc1 += x[3] * y[srcBLen - 3] + x[4] * y[srcBLen - 4] */ + acc1 = __SMLADX(x3, c0, acc1); + + /* Read x[4], x[5] */ + x0 = _SIMD32_OFFSET(px+2); + + /* Read x[5], x[6] */ + x1 = _SIMD32_OFFSET(px+3); + px += 4U; + + /* acc2 += x[4] * y[srcBLen - 3] + x[5] * y[srcBLen - 4] */ + acc2 = __SMLADX(x0, c0, acc2); + + /* acc3 += x[5] * y[srcBLen - 3] + x[6] * y[srcBLen - 4] */ + acc3 = __SMLADX(x1, c0, acc3); + + } while (--k); + + /* For the next MAC operations, SIMD is not used + * So, the 16 bit pointer if inputB, py is updated */ + + /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = srcBLen % 0x4U; + + if (k == 1U) + { + /* Read y[srcBLen - 5] */ + c0 = *(py+1); + +#ifdef ARM_MATH_BIG_ENDIAN + + c0 = c0 << 16U; + +#else + + c0 = c0 & 0x0000FFFF; + +#endif /* #ifdef ARM_MATH_BIG_ENDIAN */ + + /* Read x[7] */ + x3 = *__SIMD32(px); + px++; + + /* Perform the multiply-accumulates */ + acc0 = __SMLAD(x0, c0, acc0); + acc1 = __SMLAD(x1, c0, acc1); + acc2 = __SMLADX(x1, c0, acc2); + acc3 = __SMLADX(x3, c0, acc3); + } + + if (k == 2U) + { + /* Read y[srcBLen - 5], y[srcBLen - 6] */ + c0 = _SIMD32_OFFSET(py); + + /* Read x[7], x[8] */ + x3 = *__SIMD32(px); + + /* Read x[9] */ + x2 = _SIMD32_OFFSET(px+1); + px += 2U; + + /* Perform the multiply-accumulates */ + acc0 = __SMLADX(x0, c0, acc0); + acc1 = __SMLADX(x1, c0, acc1); + acc2 = __SMLADX(x3, c0, acc2); + acc3 = __SMLADX(x2, c0, acc3); + } + + if (k == 3U) + { + /* Read y[srcBLen - 5], y[srcBLen - 6] */ + c0 = _SIMD32_OFFSET(py); + + /* Read x[7], x[8] */ + x3 = *__SIMD32(px); + + /* Read x[9] */ + x2 = _SIMD32_OFFSET(px+1); + + /* Perform the multiply-accumulates */ + acc0 = __SMLADX(x0, c0, acc0); + acc1 = __SMLADX(x1, c0, acc1); + acc2 = __SMLADX(x3, c0, acc2); + acc3 = __SMLADX(x2, c0, acc3); + + /* Read y[srcBLen - 7] */ + c0 = *(py-1); +#ifdef ARM_MATH_BIG_ENDIAN + + c0 = c0 << 16U; +#else + + c0 = c0 & 0x0000FFFF; +#endif /* #ifdef ARM_MATH_BIG_ENDIAN */ + + /* Read x[10] */ + x3 = _SIMD32_OFFSET(px+2); + px += 3U; + + /* Perform the multiply-accumulates */ + acc0 = __SMLADX(x1, c0, acc0); + acc1 = __SMLAD(x2, c0, acc1); + acc2 = __SMLADX(x2, c0, acc2); + acc3 = __SMLADX(x3, c0, acc3); + } + + /* Store the results in the accumulators in the destination buffer. */ +#ifndef ARM_MATH_BIG_ENDIAN + + *__SIMD32(pOut)++ = __PKHBT((acc0 >> 15), (acc1 >> 15), 16); + *__SIMD32(pOut)++ = __PKHBT((acc2 >> 15), (acc3 >> 15), 16); + +#else + + *__SIMD32(pOut)++ = __PKHBT((acc1 >> 15), (acc0 >> 15), 16); + *__SIMD32(pOut)++ = __PKHBT((acc3 >> 15), (acc2 >> 15), 16); + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* Increment the pointer pIn1 index, count by 4 */ + count += 4U; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pSrc2; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize2 % 0x4U; + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = srcBLen >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum += ((q31_t) * px++ * *py--); + sum += ((q31_t) * px++ * *py--); + sum += ((q31_t) * px++ * *py--); + sum += ((q31_t) * px++ * *py--); + + /* Decrement the loop counter */ + k--; + } + + /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = srcBLen % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum += ((q31_t) * px++ * *py--); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q15_t) (sum >> 15); + + /* Increment the pointer pIn1 index, count by 1 */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pSrc2; + + /* Decrement the loop counter */ + blkCnt--; + } + } + else + { + /* If the srcBLen is not a multiple of 4, + * the blockSize2 loop cannot be unrolled by 4 */ + blkCnt = blockSize2; + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* srcBLen number of MACS should be performed */ + k = srcBLen; + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum += ((q31_t) * px++ * *py--); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q15_t) (sum >> 15); + + /* Increment the MAC count */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pSrc2; + + /* Decrement the loop counter */ + blkCnt--; + } + } + + + /* -------------------------- + * Initializations of stage3 + * -------------------------*/ + + /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1] + * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2] + * .... + * sum += x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2] + * sum += x[srcALen-1] * y[srcBLen-1] + */ + + /* In this stage the MAC operations are decreased by 1 for every iteration. + The blockSize3 variable holds the number of MAC operations performed */ + + /* Working pointer of inputA */ + pSrc1 = (pIn1 + srcALen) - (srcBLen - 1U); + px = pSrc1; + + /* Working pointer of inputB */ + pSrc2 = pIn2 + (srcBLen - 1U); + pIn2 = pSrc2 - 1U; + py = pIn2; + + /* ------------------- + * Stage3 process + * ------------------*/ + + /* For loop unrolling by 4, this stage is divided into two. */ + /* First part of this stage computes the MAC operations greater than 4 */ + /* Second part of this stage computes the MAC operations less than or equal to 4 */ + + /* The first part of the stage starts here */ + j = blockSize3 >> 2U; + + while ((j > 0U) && (blockSize3 > 0U)) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = blockSize3 >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* x[srcALen - srcBLen + 1], x[srcALen - srcBLen + 2] are multiplied + * with y[srcBLen - 1], y[srcBLen - 2] respectively */ + sum = __SMLADX(*__SIMD32(px)++, *__SIMD32(py)--, sum); + /* x[srcALen - srcBLen + 3], x[srcALen - srcBLen + 4] are multiplied + * with y[srcBLen - 3], y[srcBLen - 4] respectively */ + sum = __SMLADX(*__SIMD32(px)++, *__SIMD32(py)--, sum); + + /* Decrement the loop counter */ + k--; + } + + /* For the next MAC operations, the pointer py is used without SIMD + * So, py is incremented by 1 */ + py = py + 1U; + + /* If the blockSize3 is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = blockSize3 % 0x4U; + + while (k > 0U) + { + /* sum += x[srcALen - srcBLen + 5] * y[srcBLen - 5] */ + sum = __SMLAD(*px++, *py--, sum); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q15_t) (sum >> 15); + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = ++pSrc1; + py = pIn2; + + /* Decrement the loop counter */ + blockSize3--; + + j--; + } + + /* The second part of the stage starts here */ + /* SIMD is not used for the next MAC operations, + * so pointer py is updated to read only one sample at a time */ + py = py + 1U; + + while (blockSize3 > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = blockSize3; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + /* sum += x[srcALen-1] * y[srcBLen-1] */ + sum = __SMLAD(*px++, *py--, sum); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q15_t) (sum >> 15); + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = ++pSrc1; + py = pSrc2; + + /* Decrement the loop counter */ + blockSize3--; + } + +#else + q15_t *pIn1; /* inputA pointer */ + q15_t *pIn2; /* inputB pointer */ + q15_t *pOut = pDst; /* output pointer */ + q31_t sum, acc0, acc1, acc2, acc3; /* Accumulator */ + q15_t *px; /* Intermediate inputA pointer */ + q15_t *py; /* Intermediate inputB pointer */ + q15_t *pSrc1, *pSrc2; /* Intermediate pointers */ + q31_t x0, x1, x2, x3, c0; /* Temporary variables to hold state and coefficient values */ + uint32_t blockSize1, blockSize2, blockSize3, j, k, count, blkCnt; /* loop counter */ + q15_t a, b; + + /* The algorithm implementation is based on the lengths of the inputs. */ + /* srcB is always made to slide across srcA. */ + /* So srcBLen is always considered as shorter or equal to srcALen */ + if (srcALen >= srcBLen) + { + /* Initialization of inputA pointer */ + pIn1 = pSrcA; + + /* Initialization of inputB pointer */ + pIn2 = pSrcB; + } + else + { + /* Initialization of inputA pointer */ + pIn1 = pSrcB; + + /* Initialization of inputB pointer */ + pIn2 = pSrcA; + + /* srcBLen is always considered as shorter or equal to srcALen */ + j = srcBLen; + srcBLen = srcALen; + srcALen = j; + } + + /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */ + /* The function is internally + * divided into three stages according to the number of multiplications that has to be + * taken place between inputA samples and inputB samples. In the first stage of the + * algorithm, the multiplications increase by one for every iteration. + * In the second stage of the algorithm, srcBLen number of multiplications are done. + * In the third stage of the algorithm, the multiplications decrease by one + * for every iteration. */ + + /* The algorithm is implemented in three stages. + The loop counters of each stage is initiated here. */ + blockSize1 = srcBLen - 1U; + blockSize2 = srcALen - (srcBLen - 1U); + blockSize3 = blockSize1; + + /* -------------------------- + * Initializations of stage1 + * -------------------------*/ + + /* sum = x[0] * y[0] + * sum = x[0] * y[1] + x[1] * y[0] + * .... + * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0] + */ + + /* In this stage the MAC operations are increased by 1 for every iteration. + The count variable holds the number of MAC operations performed */ + count = 1U; + + /* Working pointer of inputA */ + px = pIn1; + + /* Working pointer of inputB */ + py = pIn2; + + + /* ------------------------ + * Stage1 process + * ----------------------*/ + + /* For loop unrolling by 4, this stage is divided into two. */ + /* First part of this stage computes the MAC operations less than 4 */ + /* Second part of this stage computes the MAC operations greater than or equal to 4 */ + + /* The first part of the stage starts here */ + while ((count < 4U) && (blockSize1 > 0U)) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Loop over number of MAC operations between + * inputA samples and inputB samples */ + k = count; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum += ((q31_t) * px++ * *py--); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q15_t) (sum >> 15); + + /* Update the inputA and inputB pointers for next MAC calculation */ + py = pIn2 + count; + px = pIn1; + + /* Increment the MAC count */ + count++; + + /* Decrement the loop counter */ + blockSize1--; + } + + /* The second part of the stage starts here */ + /* The internal loop, over count, is unrolled by 4 */ + /* To, read the last two inputB samples using SIMD: + * y[srcBLen] and y[srcBLen-1] coefficients, py is decremented by 1 */ + py = py - 1; + + while (blockSize1 > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = count >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + py++; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum += ((q31_t) * px++ * *py--); + sum += ((q31_t) * px++ * *py--); + sum += ((q31_t) * px++ * *py--); + sum += ((q31_t) * px++ * *py--); + + /* Decrement the loop counter */ + k--; + } + + /* If the count is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = count % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum += ((q31_t) * px++ * *py--); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q15_t) (sum >> 15); + + /* Update the inputA and inputB pointers for next MAC calculation */ + py = pIn2 + (count - 1U); + px = pIn1; + + /* Increment the MAC count */ + count++; + + /* Decrement the loop counter */ + blockSize1--; + } + + /* -------------------------- + * Initializations of stage2 + * ------------------------*/ + + /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0] + * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0] + * .... + * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0] + */ + + /* Working pointer of inputA */ + px = pIn1; + + /* Working pointer of inputB */ + pSrc2 = pIn2 + (srcBLen - 1U); + py = pSrc2; + + /* count is the index by which the pointer pIn1 to be incremented */ + count = 0U; + + + /* -------------------- + * Stage2 process + * -------------------*/ + + /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed. + * So, to loop unroll over blockSize2, + * srcBLen should be greater than or equal to 4 */ + if (srcBLen >= 4U) + { + /* Loop unroll over blockSize2, by 4 */ + blkCnt = blockSize2 >> 2U; + + while (blkCnt > 0U) + { + py = py - 1U; + + /* Set all accumulators to zero */ + acc0 = 0; + acc1 = 0; + acc2 = 0; + acc3 = 0; + + /* read x[0], x[1] samples */ + a = *px++; + b = *px++; + +#ifndef ARM_MATH_BIG_ENDIAN + + x0 = __PKHBT(a, b, 16); + a = *px; + x1 = __PKHBT(b, a, 16); + +#else + + x0 = __PKHBT(b, a, 16); + a = *px; + x1 = __PKHBT(a, b, 16); + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = srcBLen >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + do + { + /* Read the last two inputB samples using SIMD: + * y[srcBLen - 1] and y[srcBLen - 2] */ + a = *py; + b = *(py+1); + py -= 2; + +#ifndef ARM_MATH_BIG_ENDIAN + + c0 = __PKHBT(a, b, 16); + +#else + + c0 = __PKHBT(b, a, 16);; + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* acc0 += x[0] * y[srcBLen - 1] + x[1] * y[srcBLen - 2] */ + acc0 = __SMLADX(x0, c0, acc0); + + /* acc1 += x[1] * y[srcBLen - 1] + x[2] * y[srcBLen - 2] */ + acc1 = __SMLADX(x1, c0, acc1); + + a = *px; + b = *(px + 1); + +#ifndef ARM_MATH_BIG_ENDIAN + + x2 = __PKHBT(a, b, 16); + a = *(px + 2); + x3 = __PKHBT(b, a, 16); + +#else + + x2 = __PKHBT(b, a, 16); + a = *(px + 2); + x3 = __PKHBT(a, b, 16); + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* acc2 += x[2] * y[srcBLen - 1] + x[3] * y[srcBLen - 2] */ + acc2 = __SMLADX(x2, c0, acc2); + + /* acc3 += x[3] * y[srcBLen - 1] + x[4] * y[srcBLen - 2] */ + acc3 = __SMLADX(x3, c0, acc3); + + /* Read y[srcBLen - 3] and y[srcBLen - 4] */ + a = *py; + b = *(py+1); + py -= 2; + +#ifndef ARM_MATH_BIG_ENDIAN + + c0 = __PKHBT(a, b, 16); + +#else + + c0 = __PKHBT(b, a, 16);; + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* acc0 += x[2] * y[srcBLen - 3] + x[3] * y[srcBLen - 4] */ + acc0 = __SMLADX(x2, c0, acc0); + + /* acc1 += x[3] * y[srcBLen - 3] + x[4] * y[srcBLen - 4] */ + acc1 = __SMLADX(x3, c0, acc1); + + /* Read x[4], x[5], x[6] */ + a = *(px + 2); + b = *(px + 3); + +#ifndef ARM_MATH_BIG_ENDIAN + + x0 = __PKHBT(a, b, 16); + a = *(px + 4); + x1 = __PKHBT(b, a, 16); + +#else + + x0 = __PKHBT(b, a, 16); + a = *(px + 4); + x1 = __PKHBT(a, b, 16); + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + px += 4U; + + /* acc2 += x[4] * y[srcBLen - 3] + x[5] * y[srcBLen - 4] */ + acc2 = __SMLADX(x0, c0, acc2); + + /* acc3 += x[5] * y[srcBLen - 3] + x[6] * y[srcBLen - 4] */ + acc3 = __SMLADX(x1, c0, acc3); + + } while (--k); + + /* For the next MAC operations, SIMD is not used + * So, the 16 bit pointer if inputB, py is updated */ + + /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = srcBLen % 0x4U; + + if (k == 1U) + { + /* Read y[srcBLen - 5] */ + c0 = *(py+1); + +#ifdef ARM_MATH_BIG_ENDIAN + + c0 = c0 << 16U; + +#else + + c0 = c0 & 0x0000FFFF; + +#endif /* #ifdef ARM_MATH_BIG_ENDIAN */ + + /* Read x[7] */ + a = *px; + b = *(px+1); + px++; + +#ifndef ARM_MATH_BIG_ENDIAN + + x3 = __PKHBT(a, b, 16); + +#else + + x3 = __PKHBT(b, a, 16);; + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + + /* Perform the multiply-accumulates */ + acc0 = __SMLAD(x0, c0, acc0); + acc1 = __SMLAD(x1, c0, acc1); + acc2 = __SMLADX(x1, c0, acc2); + acc3 = __SMLADX(x3, c0, acc3); + } + + if (k == 2U) + { + /* Read y[srcBLen - 5], y[srcBLen - 6] */ + a = *py; + b = *(py+1); + +#ifndef ARM_MATH_BIG_ENDIAN + + c0 = __PKHBT(a, b, 16); + +#else + + c0 = __PKHBT(b, a, 16);; + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* Read x[7], x[8], x[9] */ + a = *px; + b = *(px + 1); + +#ifndef ARM_MATH_BIG_ENDIAN + + x3 = __PKHBT(a, b, 16); + a = *(px + 2); + x2 = __PKHBT(b, a, 16); + +#else + + x3 = __PKHBT(b, a, 16); + a = *(px + 2); + x2 = __PKHBT(a, b, 16); + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + px += 2U; + + /* Perform the multiply-accumulates */ + acc0 = __SMLADX(x0, c0, acc0); + acc1 = __SMLADX(x1, c0, acc1); + acc2 = __SMLADX(x3, c0, acc2); + acc3 = __SMLADX(x2, c0, acc3); + } + + if (k == 3U) + { + /* Read y[srcBLen - 5], y[srcBLen - 6] */ + a = *py; + b = *(py+1); + +#ifndef ARM_MATH_BIG_ENDIAN + + c0 = __PKHBT(a, b, 16); + +#else + + c0 = __PKHBT(b, a, 16);; + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* Read x[7], x[8], x[9] */ + a = *px; + b = *(px + 1); + +#ifndef ARM_MATH_BIG_ENDIAN + + x3 = __PKHBT(a, b, 16); + a = *(px + 2); + x2 = __PKHBT(b, a, 16); + +#else + + x3 = __PKHBT(b, a, 16); + a = *(px + 2); + x2 = __PKHBT(a, b, 16); + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* Perform the multiply-accumulates */ + acc0 = __SMLADX(x0, c0, acc0); + acc1 = __SMLADX(x1, c0, acc1); + acc2 = __SMLADX(x3, c0, acc2); + acc3 = __SMLADX(x2, c0, acc3); + + /* Read y[srcBLen - 7] */ + c0 = *(py-1); +#ifdef ARM_MATH_BIG_ENDIAN + + c0 = c0 << 16U; +#else + + c0 = c0 & 0x0000FFFF; +#endif /* #ifdef ARM_MATH_BIG_ENDIAN */ + + /* Read x[10] */ + a = *(px+2); + b = *(px+3); + +#ifndef ARM_MATH_BIG_ENDIAN + + x3 = __PKHBT(a, b, 16); + +#else + + x3 = __PKHBT(b, a, 16);; + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + px += 3U; + + /* Perform the multiply-accumulates */ + acc0 = __SMLADX(x1, c0, acc0); + acc1 = __SMLAD(x2, c0, acc1); + acc2 = __SMLADX(x2, c0, acc2); + acc3 = __SMLADX(x3, c0, acc3); + } + + /* Store the results in the accumulators in the destination buffer. */ + *pOut++ = (q15_t)(acc0 >> 15); + *pOut++ = (q15_t)(acc1 >> 15); + *pOut++ = (q15_t)(acc2 >> 15); + *pOut++ = (q15_t)(acc3 >> 15); + + /* Increment the pointer pIn1 index, count by 4 */ + count += 4U; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pSrc2; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize2 % 0x4U; + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = srcBLen >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum += ((q31_t) * px++ * *py--); + sum += ((q31_t) * px++ * *py--); + sum += ((q31_t) * px++ * *py--); + sum += ((q31_t) * px++ * *py--); + + /* Decrement the loop counter */ + k--; + } + + /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = srcBLen % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum += ((q31_t) * px++ * *py--); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q15_t) (sum >> 15); + + /* Increment the pointer pIn1 index, count by 1 */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pSrc2; + + /* Decrement the loop counter */ + blkCnt--; + } + } + else + { + /* If the srcBLen is not a multiple of 4, + * the blockSize2 loop cannot be unrolled by 4 */ + blkCnt = blockSize2; + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* srcBLen number of MACS should be performed */ + k = srcBLen; + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum += ((q31_t) * px++ * *py--); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q15_t) (sum >> 15); + + /* Increment the MAC count */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pSrc2; + + /* Decrement the loop counter */ + blkCnt--; + } + } + + + /* -------------------------- + * Initializations of stage3 + * -------------------------*/ + + /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1] + * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2] + * .... + * sum += x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2] + * sum += x[srcALen-1] * y[srcBLen-1] + */ + + /* In this stage the MAC operations are decreased by 1 for every iteration. + The blockSize3 variable holds the number of MAC operations performed */ + + /* Working pointer of inputA */ + pSrc1 = (pIn1 + srcALen) - (srcBLen - 1U); + px = pSrc1; + + /* Working pointer of inputB */ + pSrc2 = pIn2 + (srcBLen - 1U); + pIn2 = pSrc2 - 1U; + py = pIn2; + + /* ------------------- + * Stage3 process + * ------------------*/ + + /* For loop unrolling by 4, this stage is divided into two. */ + /* First part of this stage computes the MAC operations greater than 4 */ + /* Second part of this stage computes the MAC operations less than or equal to 4 */ + + /* The first part of the stage starts here */ + j = blockSize3 >> 2U; + + while ((j > 0U) && (blockSize3 > 0U)) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = blockSize3 >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + py++; + + while (k > 0U) + { + sum += ((q31_t) * px++ * *py--); + sum += ((q31_t) * px++ * *py--); + sum += ((q31_t) * px++ * *py--); + sum += ((q31_t) * px++ * *py--); + /* Decrement the loop counter */ + k--; + } + + /* If the blockSize3 is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = blockSize3 % 0x4U; + + while (k > 0U) + { + /* sum += x[srcALen - srcBLen + 5] * y[srcBLen - 5] */ + sum += ((q31_t) * px++ * *py--); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q15_t) (sum >> 15); + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = ++pSrc1; + py = pIn2; + + /* Decrement the loop counter */ + blockSize3--; + + j--; + } + + /* The second part of the stage starts here */ + /* SIMD is not used for the next MAC operations, + * so pointer py is updated to read only one sample at a time */ + py = py + 1U; + + while (blockSize3 > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = blockSize3; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + /* sum += x[srcALen-1] * y[srcBLen-1] */ + sum += ((q31_t) * px++ * *py--); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q15_t) (sum >> 15); + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = ++pSrc1; + py = pSrc2; + + /* Decrement the loop counter */ + blockSize3--; + } + +#endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */ +} + +/** + * @} end of Conv group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_fast_q31.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_fast_q31.c new file mode 100644 index 0000000..bc57221 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_fast_q31.c @@ -0,0 +1,565 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_conv_fast_q31.c + * Description: Fast Q31 Convolution + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupFilters + */ + +/** + * @addtogroup Conv + * @{ + */ + +/** + * @param[in] *pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] *pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] *pDst points to the location where the output result is written. Length srcALen+srcBLen-1. + * @return none. + * + * @details + * Scaling and Overflow Behavior: + * + * \par + * This function is optimized for speed at the expense of fixed-point precision and overflow protection. + * The result of each 1.31 x 1.31 multiplication is truncated to 2.30 format. + * These intermediate results are accumulated in a 32-bit register in 2.30 format. + * Finally, the accumulator is saturated and converted to a 1.31 result. + * + * \par + * The fast version has the same overflow behavior as the standard version but provides less precision since it discards the low 32 bits of each multiplication result. + * In order to avoid overflows completely the input signals must be scaled down. + * Scale down the inputs by log2(min(srcALen, srcBLen)) (log2 is read as log to the base 2) times to avoid overflows, + * as maximum of min(srcALen, srcBLen) number of additions are carried internally. + * + * \par + * See arm_conv_q31() for a slower implementation of this function which uses 64-bit accumulation to provide higher precision. + */ + +void arm_conv_fast_q31( + q31_t * pSrcA, + uint32_t srcALen, + q31_t * pSrcB, + uint32_t srcBLen, + q31_t * pDst) +{ + q31_t *pIn1; /* inputA pointer */ + q31_t *pIn2; /* inputB pointer */ + q31_t *pOut = pDst; /* output pointer */ + q31_t *px; /* Intermediate inputA pointer */ + q31_t *py; /* Intermediate inputB pointer */ + q31_t *pSrc1, *pSrc2; /* Intermediate pointers */ + q31_t sum, acc0, acc1, acc2, acc3; /* Accumulator */ + q31_t x0, x1, x2, x3, c0; /* Temporary variables to hold state and coefficient values */ + uint32_t j, k, count, blkCnt, blockSize1, blockSize2, blockSize3; /* loop counter */ + + /* The algorithm implementation is based on the lengths of the inputs. */ + /* srcB is always made to slide across srcA. */ + /* So srcBLen is always considered as shorter or equal to srcALen */ + if (srcALen >= srcBLen) + { + /* Initialization of inputA pointer */ + pIn1 = pSrcA; + + /* Initialization of inputB pointer */ + pIn2 = pSrcB; + } + else + { + /* Initialization of inputA pointer */ + pIn1 = pSrcB; + + /* Initialization of inputB pointer */ + pIn2 = pSrcA; + + /* srcBLen is always considered as shorter or equal to srcALen */ + j = srcBLen; + srcBLen = srcALen; + srcALen = j; + } + + /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */ + /* The function is internally + * divided into three stages according to the number of multiplications that has to be + * taken place between inputA samples and inputB samples. In the first stage of the + * algorithm, the multiplications increase by one for every iteration. + * In the second stage of the algorithm, srcBLen number of multiplications are done. + * In the third stage of the algorithm, the multiplications decrease by one + * for every iteration. */ + + /* The algorithm is implemented in three stages. + The loop counters of each stage is initiated here. */ + blockSize1 = srcBLen - 1U; + blockSize2 = srcALen - (srcBLen - 1U); + blockSize3 = blockSize1; + + /* -------------------------- + * Initializations of stage1 + * -------------------------*/ + + /* sum = x[0] * y[0] + * sum = x[0] * y[1] + x[1] * y[0] + * .... + * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0] + */ + + /* In this stage the MAC operations are increased by 1 for every iteration. + The count variable holds the number of MAC operations performed */ + count = 1U; + + /* Working pointer of inputA */ + px = pIn1; + + /* Working pointer of inputB */ + py = pIn2; + + + /* ------------------------ + * Stage1 process + * ----------------------*/ + + /* The first stage starts here */ + while (blockSize1 > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = count >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* x[0] * y[srcBLen - 1] */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) * px++ * (*py--))) >> 32); + + /* x[1] * y[srcBLen - 2] */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) * px++ * (*py--))) >> 32); + + /* x[2] * y[srcBLen - 3] */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) * px++ * (*py--))) >> 32); + + /* x[3] * y[srcBLen - 4] */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) * px++ * (*py--))) >> 32); + + /* Decrement the loop counter */ + k--; + } + + /* If the count is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = count % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) * px++ * (*py--))) >> 32); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = sum << 1; + + /* Update the inputA and inputB pointers for next MAC calculation */ + py = pIn2 + count; + px = pIn1; + + /* Increment the MAC count */ + count++; + + /* Decrement the loop counter */ + blockSize1--; + } + + /* -------------------------- + * Initializations of stage2 + * ------------------------*/ + + /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0] + * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0] + * .... + * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0] + */ + + /* Working pointer of inputA */ + px = pIn1; + + /* Working pointer of inputB */ + pSrc2 = pIn2 + (srcBLen - 1U); + py = pSrc2; + + /* count is index by which the pointer pIn1 to be incremented */ + count = 0U; + + /* ------------------- + * Stage2 process + * ------------------*/ + + /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed. + * So, to loop unroll over blockSize2, + * srcBLen should be greater than or equal to 4 */ + if (srcBLen >= 4U) + { + /* Loop unroll over blockSize2, by 4 */ + blkCnt = blockSize2 >> 2U; + + while (blkCnt > 0U) + { + /* Set all accumulators to zero */ + acc0 = 0; + acc1 = 0; + acc2 = 0; + acc3 = 0; + + /* read x[0], x[1], x[2] samples */ + x0 = *(px++); + x1 = *(px++); + x2 = *(px++); + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = srcBLen >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + do + { + /* Read y[srcBLen - 1] sample */ + c0 = *(py--); + + /* Read x[3] sample */ + x3 = *(px++); + + /* Perform the multiply-accumulates */ + /* acc0 += x[0] * y[srcBLen - 1] */ + acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32); + + /* acc1 += x[1] * y[srcBLen - 1] */ + acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32); + + /* acc2 += x[2] * y[srcBLen - 1] */ + acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x2 * c0)) >> 32); + + /* acc3 += x[3] * y[srcBLen - 1] */ + acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x3 * c0)) >> 32); + + /* Read y[srcBLen - 2] sample */ + c0 = *(py--); + + /* Read x[4] sample */ + x0 = *(px++); + + /* Perform the multiply-accumulate */ + /* acc0 += x[1] * y[srcBLen - 2] */ + acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x1 * c0)) >> 32); + /* acc1 += x[2] * y[srcBLen - 2] */ + acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x2 * c0)) >> 32); + /* acc2 += x[3] * y[srcBLen - 2] */ + acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x3 * c0)) >> 32); + /* acc3 += x[4] * y[srcBLen - 2] */ + acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x0 * c0)) >> 32); + + /* Read y[srcBLen - 3] sample */ + c0 = *(py--); + + /* Read x[5] sample */ + x1 = *(px++); + + /* Perform the multiply-accumulates */ + /* acc0 += x[2] * y[srcBLen - 3] */ + acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x2 * c0)) >> 32); + /* acc1 += x[3] * y[srcBLen - 3] */ + acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x3 * c0)) >> 32); + /* acc2 += x[4] * y[srcBLen - 3] */ + acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x0 * c0)) >> 32); + /* acc3 += x[5] * y[srcBLen - 3] */ + acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x1 * c0)) >> 32); + + /* Read y[srcBLen - 4] sample */ + c0 = *(py--); + + /* Read x[6] sample */ + x2 = *(px++); + + /* Perform the multiply-accumulates */ + /* acc0 += x[3] * y[srcBLen - 4] */ + acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x3 * c0)) >> 32); + /* acc1 += x[4] * y[srcBLen - 4] */ + acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x0 * c0)) >> 32); + /* acc2 += x[5] * y[srcBLen - 4] */ + acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x1 * c0)) >> 32); + /* acc3 += x[6] * y[srcBLen - 4] */ + acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x2 * c0)) >> 32); + + + } while (--k); + + /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = srcBLen % 0x4U; + + while (k > 0U) + { + /* Read y[srcBLen - 5] sample */ + c0 = *(py--); + + /* Read x[7] sample */ + x3 = *(px++); + + /* Perform the multiply-accumulates */ + /* acc0 += x[4] * y[srcBLen - 5] */ + acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32); + /* acc1 += x[5] * y[srcBLen - 5] */ + acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32); + /* acc2 += x[6] * y[srcBLen - 5] */ + acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x2 * c0)) >> 32); + /* acc3 += x[7] * y[srcBLen - 5] */ + acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x3 * c0)) >> 32); + + /* Reuse the present samples for the next MAC */ + x0 = x1; + x1 = x2; + x2 = x3; + + /* Decrement the loop counter */ + k--; + } + + /* Store the results in the accumulators in the destination buffer. */ + *pOut++ = (q31_t) (acc0 << 1); + *pOut++ = (q31_t) (acc1 << 1); + *pOut++ = (q31_t) (acc2 << 1); + *pOut++ = (q31_t) (acc3 << 1); + + /* Increment the pointer pIn1 index, count by 4 */ + count += 4U; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pSrc2; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize2 % 0x4U; + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = srcBLen >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) * px++ * (*py--))) >> 32); + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) * px++ * (*py--))) >> 32); + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) * px++ * (*py--))) >> 32); + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) * px++ * (*py--))) >> 32); + + /* Decrement the loop counter */ + k--; + } + + /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = srcBLen % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) * px++ * (*py--))) >> 32); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = sum << 1; + + /* Increment the MAC count */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pSrc2; + + /* Decrement the loop counter */ + blkCnt--; + } + } + else + { + /* If the srcBLen is not a multiple of 4, + * the blockSize2 loop cannot be unrolled by 4 */ + blkCnt = blockSize2; + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* srcBLen number of MACS should be performed */ + k = srcBLen; + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) * px++ * (*py--))) >> 32); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = sum << 1; + + /* Increment the MAC count */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pSrc2; + + /* Decrement the loop counter */ + blkCnt--; + } + } + + + /* -------------------------- + * Initializations of stage3 + * -------------------------*/ + + /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1] + * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2] + * .... + * sum += x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2] + * sum += x[srcALen-1] * y[srcBLen-1] + */ + + /* In this stage the MAC operations are decreased by 1 for every iteration. + The blockSize3 variable holds the number of MAC operations performed */ + + /* Working pointer of inputA */ + pSrc1 = (pIn1 + srcALen) - (srcBLen - 1U); + px = pSrc1; + + /* Working pointer of inputB */ + pSrc2 = pIn2 + (srcBLen - 1U); + py = pSrc2; + + /* ------------------- + * Stage3 process + * ------------------*/ + + while (blockSize3 > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = blockSize3 >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* sum += x[srcALen - srcBLen + 1] * y[srcBLen - 1] */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) * px++ * (*py--))) >> 32); + + /* sum += x[srcALen - srcBLen + 2] * y[srcBLen - 2] */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) * px++ * (*py--))) >> 32); + + /* sum += x[srcALen - srcBLen + 3] * y[srcBLen - 3] */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) * px++ * (*py--))) >> 32); + + /* sum += x[srcALen - srcBLen + 4] * y[srcBLen - 4] */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) * px++ * (*py--))) >> 32); + + /* Decrement the loop counter */ + k--; + } + + /* If the blockSize3 is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = blockSize3 % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) * px++ * (*py--))) >> 32); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = sum << 1; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = ++pSrc1; + py = pSrc2; + + /* Decrement the loop counter */ + blockSize3--; + } + +} + +/** + * @} end of Conv group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_opt_q15.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_opt_q15.c new file mode 100644 index 0000000..47f6f84 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_opt_q15.c @@ -0,0 +1,533 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_conv_opt_q15.c + * Description: Convolution of Q15 sequences + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupFilters + */ + +/** + * @addtogroup Conv + * @{ + */ + +/** + * @brief Convolution of Q15 sequences. + * @param[in] *pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] *pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] *pDst points to the location where the output result is written. Length srcALen+srcBLen-1. + * @param[in] *pScratch1 points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2. + * @param[in] *pScratch2 points to scratch buffer of size min(srcALen, srcBLen). + * @return none. + * + * \par Restrictions + * If the silicon does not support unaligned memory access enable the macro UNALIGNED_SUPPORT_DISABLE + * In this case input, output, scratch1 and scratch2 buffers should be aligned by 32-bit + * + * + * @details + * Scaling and Overflow Behavior: + * + * \par + * The function is implemented using a 64-bit internal accumulator. + * Both inputs are in 1.15 format and multiplications yield a 2.30 result. + * The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format. + * This approach provides 33 guard bits and there is no risk of overflow. + * The 34.30 result is then truncated to 34.15 format by discarding the low 15 bits and then saturated to 1.15 format. + * + * + * \par + * Refer to arm_conv_fast_q15() for a faster but less precise version of this function for Cortex-M3 and Cortex-M4. + * + * + */ + +void arm_conv_opt_q15( + q15_t * pSrcA, + uint32_t srcALen, + q15_t * pSrcB, + uint32_t srcBLen, + q15_t * pDst, + q15_t * pScratch1, + q15_t * pScratch2) +{ + q63_t acc0, acc1, acc2, acc3; /* Accumulator */ + q31_t x1, x2, x3; /* Temporary variables to hold state and coefficient values */ + q31_t y1, y2; /* State variables */ + q15_t *pOut = pDst; /* output pointer */ + q15_t *pScr1 = pScratch1; /* Temporary pointer for scratch1 */ + q15_t *pScr2 = pScratch2; /* Temporary pointer for scratch1 */ + q15_t *pIn1; /* inputA pointer */ + q15_t *pIn2; /* inputB pointer */ + q15_t *px; /* Intermediate inputA pointer */ + q15_t *py; /* Intermediate inputB pointer */ + uint32_t j, k, blkCnt; /* loop counter */ + uint32_t tapCnt; /* loop count */ +#ifdef UNALIGNED_SUPPORT_DISABLE + + q15_t a, b; + +#endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */ + + /* The algorithm implementation is based on the lengths of the inputs. */ + /* srcB is always made to slide across srcA. */ + /* So srcBLen is always considered as shorter or equal to srcALen */ + if (srcALen >= srcBLen) + { + /* Initialization of inputA pointer */ + pIn1 = pSrcA; + + /* Initialization of inputB pointer */ + pIn2 = pSrcB; + + } + else + { + /* Initialization of inputA pointer */ + pIn1 = pSrcB; + + /* Initialization of inputB pointer */ + pIn2 = pSrcA; + + /* srcBLen is always considered as shorter or equal to srcALen */ + j = srcBLen; + srcBLen = srcALen; + srcALen = j; + } + + /* pointer to take end of scratch2 buffer */ + pScr2 = pScratch2 + srcBLen - 1; + + /* points to smaller length sequence */ + px = pIn2; + + /* Apply loop unrolling and do 4 Copies simultaneously. */ + k = srcBLen >> 2U; + + /* First part of the processing with loop unrolling copies 4 data points at a time. + ** a second loop below copies for the remaining 1 to 3 samples. */ + /* Copy smaller length input sequence in reverse order into second scratch buffer */ + while (k > 0U) + { + /* copy second buffer in reversal manner */ + *pScr2-- = *px++; + *pScr2-- = *px++; + *pScr2-- = *px++; + *pScr2-- = *px++; + + /* Decrement the loop counter */ + k--; + } + + /* If the count is not a multiple of 4, copy remaining samples here. + ** No loop unrolling is used. */ + k = srcBLen % 0x4U; + + while (k > 0U) + { + /* copy second buffer in reversal manner for remaining samples */ + *pScr2-- = *px++; + + /* Decrement the loop counter */ + k--; + } + + /* Initialze temporary scratch pointer */ + pScr1 = pScratch1; + + /* Assuming scratch1 buffer is aligned by 32-bit */ + /* Fill (srcBLen - 1U) zeros in scratch buffer */ + arm_fill_q15(0, pScr1, (srcBLen - 1U)); + + /* Update temporary scratch pointer */ + pScr1 += (srcBLen - 1U); + + /* Copy bigger length sequence(srcALen) samples in scratch1 buffer */ + +#ifndef UNALIGNED_SUPPORT_DISABLE + + /* Copy (srcALen) samples in scratch buffer */ + arm_copy_q15(pIn1, pScr1, srcALen); + + /* Update pointers */ + pScr1 += srcALen; + +#else + + /* Apply loop unrolling and do 4 Copies simultaneously. */ + k = srcALen >> 2U; + + /* First part of the processing with loop unrolling copies 4 data points at a time. + ** a second loop below copies for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* copy second buffer in reversal manner */ + *pScr1++ = *pIn1++; + *pScr1++ = *pIn1++; + *pScr1++ = *pIn1++; + *pScr1++ = *pIn1++; + + /* Decrement the loop counter */ + k--; + } + + /* If the count is not a multiple of 4, copy remaining samples here. + ** No loop unrolling is used. */ + k = srcALen % 0x4U; + + while (k > 0U) + { + /* copy second buffer in reversal manner for remaining samples */ + *pScr1++ = *pIn1++; + + /* Decrement the loop counter */ + k--; + } + +#endif + + +#ifndef UNALIGNED_SUPPORT_DISABLE + + /* Fill (srcBLen - 1U) zeros at end of scratch buffer */ + arm_fill_q15(0, pScr1, (srcBLen - 1U)); + + /* Update pointer */ + pScr1 += (srcBLen - 1U); + +#else + + /* Apply loop unrolling and do 4 Copies simultaneously. */ + k = (srcBLen - 1U) >> 2U; + + /* First part of the processing with loop unrolling copies 4 data points at a time. + ** a second loop below copies for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* copy second buffer in reversal manner */ + *pScr1++ = 0; + *pScr1++ = 0; + *pScr1++ = 0; + *pScr1++ = 0; + + /* Decrement the loop counter */ + k--; + } + + /* If the count is not a multiple of 4, copy remaining samples here. + ** No loop unrolling is used. */ + k = (srcBLen - 1U) % 0x4U; + + while (k > 0U) + { + /* copy second buffer in reversal manner for remaining samples */ + *pScr1++ = 0; + + /* Decrement the loop counter */ + k--; + } + +#endif + + /* Temporary pointer for scratch2 */ + py = pScratch2; + + + /* Initialization of pIn2 pointer */ + pIn2 = py; + + /* First part of the processing with loop unrolling process 4 data points at a time. + ** a second loop below process for the remaining 1 to 3 samples. */ + + /* Actual convolution process starts here */ + blkCnt = (srcALen + srcBLen - 1U) >> 2; + + while (blkCnt > 0) + { + /* Initialze temporary scratch pointer as scratch1 */ + pScr1 = pScratch1; + + /* Clear Accumlators */ + acc0 = 0; + acc1 = 0; + acc2 = 0; + acc3 = 0; + + /* Read two samples from scratch1 buffer */ + x1 = *__SIMD32(pScr1)++; + + /* Read next two samples from scratch1 buffer */ + x2 = *__SIMD32(pScr1)++; + + tapCnt = (srcBLen) >> 2U; + + while (tapCnt > 0U) + { + +#ifndef UNALIGNED_SUPPORT_DISABLE + + /* Read four samples from smaller buffer */ + y1 = _SIMD32_OFFSET(pIn2); + y2 = _SIMD32_OFFSET(pIn2 + 2U); + + /* multiply and accumlate */ + acc0 = __SMLALD(x1, y1, acc0); + acc2 = __SMLALD(x2, y1, acc2); + + /* pack input data */ +#ifndef ARM_MATH_BIG_ENDIAN + x3 = __PKHBT(x2, x1, 0); +#else + x3 = __PKHBT(x1, x2, 0); +#endif + + /* multiply and accumlate */ + acc1 = __SMLALDX(x3, y1, acc1); + + /* Read next two samples from scratch1 buffer */ + x1 = _SIMD32_OFFSET(pScr1); + + /* multiply and accumlate */ + acc0 = __SMLALD(x2, y2, acc0); + acc2 = __SMLALD(x1, y2, acc2); + + /* pack input data */ +#ifndef ARM_MATH_BIG_ENDIAN + x3 = __PKHBT(x1, x2, 0); +#else + x3 = __PKHBT(x2, x1, 0); +#endif + + acc3 = __SMLALDX(x3, y1, acc3); + acc1 = __SMLALDX(x3, y2, acc1); + + x2 = _SIMD32_OFFSET(pScr1 + 2U); + +#ifndef ARM_MATH_BIG_ENDIAN + x3 = __PKHBT(x2, x1, 0); +#else + x3 = __PKHBT(x1, x2, 0); +#endif + + acc3 = __SMLALDX(x3, y2, acc3); + +#else + + /* Read four samples from smaller buffer */ + a = *pIn2; + b = *(pIn2 + 1); + +#ifndef ARM_MATH_BIG_ENDIAN + y1 = __PKHBT(a, b, 16); +#else + y1 = __PKHBT(b, a, 16); +#endif + + a = *(pIn2 + 2); + b = *(pIn2 + 3); +#ifndef ARM_MATH_BIG_ENDIAN + y2 = __PKHBT(a, b, 16); +#else + y2 = __PKHBT(b, a, 16); +#endif + + acc0 = __SMLALD(x1, y1, acc0); + + acc2 = __SMLALD(x2, y1, acc2); + +#ifndef ARM_MATH_BIG_ENDIAN + x3 = __PKHBT(x2, x1, 0); +#else + x3 = __PKHBT(x1, x2, 0); +#endif + + acc1 = __SMLALDX(x3, y1, acc1); + + a = *pScr1; + b = *(pScr1 + 1); + +#ifndef ARM_MATH_BIG_ENDIAN + x1 = __PKHBT(a, b, 16); +#else + x1 = __PKHBT(b, a, 16); +#endif + + acc0 = __SMLALD(x2, y2, acc0); + + acc2 = __SMLALD(x1, y2, acc2); + +#ifndef ARM_MATH_BIG_ENDIAN + x3 = __PKHBT(x1, x2, 0); +#else + x3 = __PKHBT(x2, x1, 0); +#endif + + acc3 = __SMLALDX(x3, y1, acc3); + + acc1 = __SMLALDX(x3, y2, acc1); + + a = *(pScr1 + 2); + b = *(pScr1 + 3); + +#ifndef ARM_MATH_BIG_ENDIAN + x2 = __PKHBT(a, b, 16); +#else + x2 = __PKHBT(b, a, 16); +#endif + +#ifndef ARM_MATH_BIG_ENDIAN + x3 = __PKHBT(x2, x1, 0); +#else + x3 = __PKHBT(x1, x2, 0); +#endif + + acc3 = __SMLALDX(x3, y2, acc3); + +#endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */ + + pIn2 += 4U; + pScr1 += 4U; + + + /* Decrement the loop counter */ + tapCnt--; + } + + /* Update scratch pointer for remaining samples of smaller length sequence */ + pScr1 -= 4U; + + /* apply same above for remaining samples of smaller length sequence */ + tapCnt = (srcBLen) & 3U; + + while (tapCnt > 0U) + { + + /* accumlate the results */ + acc0 += (*pScr1++ * *pIn2); + acc1 += (*pScr1++ * *pIn2); + acc2 += (*pScr1++ * *pIn2); + acc3 += (*pScr1++ * *pIn2++); + + pScr1 -= 3U; + + /* Decrement the loop counter */ + tapCnt--; + } + + blkCnt--; + + + /* Store the results in the accumulators in the destination buffer. */ + +#ifndef ARM_MATH_BIG_ENDIAN + + *__SIMD32(pOut)++ = + __PKHBT(__SSAT((acc0 >> 15), 16), __SSAT((acc1 >> 15), 16), 16); + + *__SIMD32(pOut)++ = + __PKHBT(__SSAT((acc2 >> 15), 16), __SSAT((acc3 >> 15), 16), 16); + +#else + + *__SIMD32(pOut)++ = + __PKHBT(__SSAT((acc1 >> 15), 16), __SSAT((acc0 >> 15), 16), 16); + + *__SIMD32(pOut)++ = + __PKHBT(__SSAT((acc3 >> 15), 16), __SSAT((acc2 >> 15), 16), 16); + + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* Initialization of inputB pointer */ + pIn2 = py; + + pScratch1 += 4U; + + } + + + blkCnt = (srcALen + srcBLen - 1U) & 0x3; + + /* Calculate convolution for remaining samples of Bigger length sequence */ + while (blkCnt > 0) + { + /* Initialze temporary scratch pointer as scratch1 */ + pScr1 = pScratch1; + + /* Clear Accumlators */ + acc0 = 0; + + tapCnt = (srcBLen) >> 1U; + + while (tapCnt > 0U) + { + + /* Read next two samples from scratch1 buffer */ + acc0 += (*pScr1++ * *pIn2++); + acc0 += (*pScr1++ * *pIn2++); + + /* Decrement the loop counter */ + tapCnt--; + } + + tapCnt = (srcBLen) & 1U; + + /* apply same above for remaining samples of smaller length sequence */ + while (tapCnt > 0U) + { + + /* accumlate the results */ + acc0 += (*pScr1++ * *pIn2++); + + /* Decrement the loop counter */ + tapCnt--; + } + + blkCnt--; + + /* The result is in 2.30 format. Convert to 1.15 with saturation. + ** Then store the output in the destination buffer. */ + *pOut++ = (q15_t) (__SSAT((acc0 >> 15), 16)); + + + /* Initialization of inputB pointer */ + pIn2 = py; + + pScratch1 += 1U; + + } + +} + + +/** + * @} end of Conv group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_opt_q7.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_opt_q7.c new file mode 100644 index 0000000..1dc2e49 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_opt_q7.c @@ -0,0 +1,423 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_conv_opt_q7.c + * Description: Convolution of Q7 sequences + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupFilters + */ + +/** + * @addtogroup Conv + * @{ + */ + +/** + * @brief Convolution of Q7 sequences. + * @param[in] *pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] *pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] *pDst points to the location where the output result is written. Length srcALen+srcBLen-1. + * @param[in] *pScratch1 points to scratch buffer(of type q15_t) of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2. + * @param[in] *pScratch2 points to scratch buffer (of type q15_t) of size min(srcALen, srcBLen). + * @return none. + * + * \par Restrictions + * If the silicon does not support unaligned memory access enable the macro UNALIGNED_SUPPORT_DISABLE + * In this case input, output, scratch1 and scratch2 buffers should be aligned by 32-bit + * + * @details + * Scaling and Overflow Behavior: + * + * \par + * The function is implemented using a 32-bit internal accumulator. + * Both the inputs are represented in 1.7 format and multiplications yield a 2.14 result. + * The 2.14 intermediate results are accumulated in a 32-bit accumulator in 18.14 format. + * This approach provides 17 guard bits and there is no risk of overflow as long as max(srcALen, srcBLen)<131072. + * The 18.14 result is then truncated to 18.7 format by discarding the low 7 bits and then saturated to 1.7 format. + * + */ + +void arm_conv_opt_q7( + q7_t * pSrcA, + uint32_t srcALen, + q7_t * pSrcB, + uint32_t srcBLen, + q7_t * pDst, + q15_t * pScratch1, + q15_t * pScratch2) +{ + + q15_t *pScr2, *pScr1; /* Intermediate pointers for scratch pointers */ + q15_t x4; /* Temporary input variable */ + q7_t *pIn1, *pIn2; /* inputA and inputB pointer */ + uint32_t j, k, blkCnt, tapCnt; /* loop counter */ + q7_t *px; /* Temporary input1 pointer */ + q15_t *py; /* Temporary input2 pointer */ + q31_t acc0, acc1, acc2, acc3; /* Accumulator */ + q31_t x1, x2, x3, y1; /* Temporary input variables */ + q7_t *pOut = pDst; /* output pointer */ + q7_t out0, out1, out2, out3; /* temporary variables */ + + /* The algorithm implementation is based on the lengths of the inputs. */ + /* srcB is always made to slide across srcA. */ + /* So srcBLen is always considered as shorter or equal to srcALen */ + if (srcALen >= srcBLen) + { + /* Initialization of inputA pointer */ + pIn1 = pSrcA; + + /* Initialization of inputB pointer */ + pIn2 = pSrcB; + } + else + { + /* Initialization of inputA pointer */ + pIn1 = pSrcB; + + /* Initialization of inputB pointer */ + pIn2 = pSrcA; + + /* srcBLen is always considered as shorter or equal to srcALen */ + j = srcBLen; + srcBLen = srcALen; + srcALen = j; + } + + /* pointer to take end of scratch2 buffer */ + pScr2 = pScratch2; + + /* points to smaller length sequence */ + px = pIn2 + srcBLen - 1; + + /* Apply loop unrolling and do 4 Copies simultaneously. */ + k = srcBLen >> 2U; + + /* First part of the processing with loop unrolling copies 4 data points at a time. + ** a second loop below copies for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* copy second buffer in reversal manner */ + x4 = (q15_t) * px--; + *pScr2++ = x4; + x4 = (q15_t) * px--; + *pScr2++ = x4; + x4 = (q15_t) * px--; + *pScr2++ = x4; + x4 = (q15_t) * px--; + *pScr2++ = x4; + + /* Decrement the loop counter */ + k--; + } + + /* If the count is not a multiple of 4, copy remaining samples here. + ** No loop unrolling is used. */ + k = srcBLen % 0x4U; + + while (k > 0U) + { + /* copy second buffer in reversal manner for remaining samples */ + x4 = (q15_t) * px--; + *pScr2++ = x4; + + /* Decrement the loop counter */ + k--; + } + + /* Initialze temporary scratch pointer */ + pScr1 = pScratch1; + + /* Fill (srcBLen - 1U) zeros in scratch buffer */ + arm_fill_q15(0, pScr1, (srcBLen - 1U)); + + /* Update temporary scratch pointer */ + pScr1 += (srcBLen - 1U); + + /* Copy (srcALen) samples in scratch buffer */ + /* Apply loop unrolling and do 4 Copies simultaneously. */ + k = srcALen >> 2U; + + /* First part of the processing with loop unrolling copies 4 data points at a time. + ** a second loop below copies for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* copy second buffer in reversal manner */ + x4 = (q15_t) * pIn1++; + *pScr1++ = x4; + x4 = (q15_t) * pIn1++; + *pScr1++ = x4; + x4 = (q15_t) * pIn1++; + *pScr1++ = x4; + x4 = (q15_t) * pIn1++; + *pScr1++ = x4; + + /* Decrement the loop counter */ + k--; + } + + /* If the count is not a multiple of 4, copy remaining samples here. + ** No loop unrolling is used. */ + k = srcALen % 0x4U; + + while (k > 0U) + { + /* copy second buffer in reversal manner for remaining samples */ + x4 = (q15_t) * pIn1++; + *pScr1++ = x4; + + /* Decrement the loop counter */ + k--; + } + +#ifndef UNALIGNED_SUPPORT_DISABLE + + /* Fill (srcBLen - 1U) zeros at end of scratch buffer */ + arm_fill_q15(0, pScr1, (srcBLen - 1U)); + + /* Update pointer */ + pScr1 += (srcBLen - 1U); + +#else + + /* Apply loop unrolling and do 4 Copies simultaneously. */ + k = (srcBLen - 1U) >> 2U; + + /* First part of the processing with loop unrolling copies 4 data points at a time. + ** a second loop below copies for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* copy second buffer in reversal manner */ + *pScr1++ = 0; + *pScr1++ = 0; + *pScr1++ = 0; + *pScr1++ = 0; + + /* Decrement the loop counter */ + k--; + } + + /* If the count is not a multiple of 4, copy remaining samples here. + ** No loop unrolling is used. */ + k = (srcBLen - 1U) % 0x4U; + + while (k > 0U) + { + /* copy second buffer in reversal manner for remaining samples */ + *pScr1++ = 0; + + /* Decrement the loop counter */ + k--; + } + +#endif + + /* Temporary pointer for scratch2 */ + py = pScratch2; + + /* Initialization of pIn2 pointer */ + pIn2 = (q7_t *) py; + + pScr2 = py; + + /* Actual convolution process starts here */ + blkCnt = (srcALen + srcBLen - 1U) >> 2; + + while (blkCnt > 0) + { + /* Initialze temporary scratch pointer as scratch1 */ + pScr1 = pScratch1; + + /* Clear Accumlators */ + acc0 = 0; + acc1 = 0; + acc2 = 0; + acc3 = 0; + + /* Read two samples from scratch1 buffer */ + x1 = *__SIMD32(pScr1)++; + + /* Read next two samples from scratch1 buffer */ + x2 = *__SIMD32(pScr1)++; + + tapCnt = (srcBLen) >> 2U; + + while (tapCnt > 0U) + { + + /* Read four samples from smaller buffer */ + y1 = _SIMD32_OFFSET(pScr2); + + /* multiply and accumlate */ + acc0 = __SMLAD(x1, y1, acc0); + acc2 = __SMLAD(x2, y1, acc2); + + /* pack input data */ +#ifndef ARM_MATH_BIG_ENDIAN + x3 = __PKHBT(x2, x1, 0); +#else + x3 = __PKHBT(x1, x2, 0); +#endif + + /* multiply and accumlate */ + acc1 = __SMLADX(x3, y1, acc1); + + /* Read next two samples from scratch1 buffer */ + x1 = *__SIMD32(pScr1)++; + + /* pack input data */ +#ifndef ARM_MATH_BIG_ENDIAN + x3 = __PKHBT(x1, x2, 0); +#else + x3 = __PKHBT(x2, x1, 0); +#endif + + acc3 = __SMLADX(x3, y1, acc3); + + /* Read four samples from smaller buffer */ + y1 = _SIMD32_OFFSET(pScr2 + 2U); + + acc0 = __SMLAD(x2, y1, acc0); + + acc2 = __SMLAD(x1, y1, acc2); + + acc1 = __SMLADX(x3, y1, acc1); + + x2 = *__SIMD32(pScr1)++; + +#ifndef ARM_MATH_BIG_ENDIAN + x3 = __PKHBT(x2, x1, 0); +#else + x3 = __PKHBT(x1, x2, 0); +#endif + + acc3 = __SMLADX(x3, y1, acc3); + + pScr2 += 4U; + + + /* Decrement the loop counter */ + tapCnt--; + } + + + + /* Update scratch pointer for remaining samples of smaller length sequence */ + pScr1 -= 4U; + + + /* apply same above for remaining samples of smaller length sequence */ + tapCnt = (srcBLen) & 3U; + + while (tapCnt > 0U) + { + + /* accumlate the results */ + acc0 += (*pScr1++ * *pScr2); + acc1 += (*pScr1++ * *pScr2); + acc2 += (*pScr1++ * *pScr2); + acc3 += (*pScr1++ * *pScr2++); + + pScr1 -= 3U; + + /* Decrement the loop counter */ + tapCnt--; + } + + blkCnt--; + + /* Store the result in the accumulator in the destination buffer. */ + out0 = (q7_t) (__SSAT(acc0 >> 7U, 8)); + out1 = (q7_t) (__SSAT(acc1 >> 7U, 8)); + out2 = (q7_t) (__SSAT(acc2 >> 7U, 8)); + out3 = (q7_t) (__SSAT(acc3 >> 7U, 8)); + + *__SIMD32(pOut)++ = __PACKq7(out0, out1, out2, out3); + + /* Initialization of inputB pointer */ + pScr2 = py; + + pScratch1 += 4U; + + } + + + blkCnt = (srcALen + srcBLen - 1U) & 0x3; + + /* Calculate convolution for remaining samples of Bigger length sequence */ + while (blkCnt > 0) + { + /* Initialze temporary scratch pointer as scratch1 */ + pScr1 = pScratch1; + + /* Clear Accumlators */ + acc0 = 0; + + tapCnt = (srcBLen) >> 1U; + + while (tapCnt > 0U) + { + acc0 += (*pScr1++ * *pScr2++); + acc0 += (*pScr1++ * *pScr2++); + + /* Decrement the loop counter */ + tapCnt--; + } + + tapCnt = (srcBLen) & 1U; + + /* apply same above for remaining samples of smaller length sequence */ + while (tapCnt > 0U) + { + + /* accumlate the results */ + acc0 += (*pScr1++ * *pScr2++); + + /* Decrement the loop counter */ + tapCnt--; + } + + blkCnt--; + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q7_t) (__SSAT(acc0 >> 7U, 8)); + + /* Initialization of inputB pointer */ + pScr2 = py; + + pScratch1 += 1U; + + } + +} + + +/** + * @} end of Conv group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_f32.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_f32.c new file mode 100644 index 0000000..9eae124 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_f32.c @@ -0,0 +1,678 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_conv_partial_f32.c + * Description: Partial convolution of floating-point sequences + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupFilters + */ + +/** + * @defgroup PartialConv Partial Convolution + * + * Partial Convolution is equivalent to Convolution except that a subset of the output samples is generated. + * Each function has two additional arguments. + * firstIndex specifies the starting index of the subset of output samples. + * numPoints is the number of output samples to compute. + * The function computes the output in the range + * [firstIndex, ..., firstIndex+numPoints-1]. + * The output array pDst contains numPoints values. + * + * The allowable range of output indices is [0 srcALen+srcBLen-2]. + * If the requested subset does not fall in this range then the functions return ARM_MATH_ARGUMENT_ERROR. + * Otherwise the functions return ARM_MATH_SUCCESS. + * \note Refer arm_conv_f32() for details on fixed point behavior. + * + * + * Fast Versions + * + * \par + * Fast versions are supported for Q31 and Q15 of partial convolution. Cycles for Fast versions are less compared to Q31 and Q15 of partial conv and the design requires + * the input signals should be scaled down to avoid intermediate overflows. + * + * + * Opt Versions + * + * \par + * Opt versions are supported for Q15 and Q7. Design uses internal scratch buffer for getting good optimisation. + * These versions are optimised in cycles and consumes more memory(Scratch memory) compared to Q15 and Q7 versions of partial convolution + */ + +/** + * @addtogroup PartialConv + * @{ + */ + +/** + * @brief Partial convolution of floating-point sequences. + * @param[in] *pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] *pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] *pDst points to the location where the output result is written. + * @param[in] firstIndex is the first output sample to start with. + * @param[in] numPoints is the number of output points to be computed. + * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2]. + */ + +arm_status arm_conv_partial_f32( + float32_t * pSrcA, + uint32_t srcALen, + float32_t * pSrcB, + uint32_t srcBLen, + float32_t * pDst, + uint32_t firstIndex, + uint32_t numPoints) +{ + + +#if defined (ARM_MATH_DSP) + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + float32_t *pIn1 = pSrcA; /* inputA pointer */ + float32_t *pIn2 = pSrcB; /* inputB pointer */ + float32_t *pOut = pDst; /* output pointer */ + float32_t *px; /* Intermediate inputA pointer */ + float32_t *py; /* Intermediate inputB pointer */ + float32_t *pSrc1, *pSrc2; /* Intermediate pointers */ + float32_t sum, acc0, acc1, acc2, acc3; /* Accumulator */ + float32_t x0, x1, x2, x3, c0; /* Temporary variables to hold state and coefficient values */ + uint32_t j, k, count = 0U, blkCnt, check; + int32_t blockSize1, blockSize2, blockSize3; /* loop counters */ + arm_status status; /* status of Partial convolution */ + + + /* Check for range of output samples to be calculated */ + if ((firstIndex + numPoints) > ((srcALen + (srcBLen - 1U)))) + { + /* Set status as ARM_MATH_ARGUMENT_ERROR */ + status = ARM_MATH_ARGUMENT_ERROR; + } + else + { + + /* The algorithm implementation is based on the lengths of the inputs. */ + /* srcB is always made to slide across srcA. */ + /* So srcBLen is always considered as shorter or equal to srcALen */ + if (srcALen >= srcBLen) + { + /* Initialization of inputA pointer */ + pIn1 = pSrcA; + + /* Initialization of inputB pointer */ + pIn2 = pSrcB; + } + else + { + /* Initialization of inputA pointer */ + pIn1 = pSrcB; + + /* Initialization of inputB pointer */ + pIn2 = pSrcA; + + /* srcBLen is always considered as shorter or equal to srcALen */ + j = srcBLen; + srcBLen = srcALen; + srcALen = j; + } + + /* Conditions to check which loopCounter holds + * the first and last indices of the output samples to be calculated. */ + check = firstIndex + numPoints; + blockSize3 = ((int32_t)check > (int32_t)srcALen) ? (int32_t)check - (int32_t)srcALen : 0; + blockSize3 = ((int32_t)firstIndex > (int32_t)srcALen - 1) ? blockSize3 - (int32_t)firstIndex + (int32_t)srcALen : blockSize3; + blockSize1 = ((int32_t) srcBLen - 1) - (int32_t) firstIndex; + blockSize1 = (blockSize1 > 0) ? ((check > (srcBLen - 1U)) ? blockSize1 : + (int32_t) numPoints) : 0; + blockSize2 = ((int32_t) check - blockSize3) - + (blockSize1 + (int32_t) firstIndex); + blockSize2 = (blockSize2 > 0) ? blockSize2 : 0; + + /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */ + /* The function is internally + * divided into three stages according to the number of multiplications that has to be + * taken place between inputA samples and inputB samples. In the first stage of the + * algorithm, the multiplications increase by one for every iteration. + * In the second stage of the algorithm, srcBLen number of multiplications are done. + * In the third stage of the algorithm, the multiplications decrease by one + * for every iteration. */ + + /* Set the output pointer to point to the firstIndex + * of the output sample to be calculated. */ + pOut = pDst + firstIndex; + + /* -------------------------- + * Initializations of stage1 + * -------------------------*/ + + /* sum = x[0] * y[0] + * sum = x[0] * y[1] + x[1] * y[0] + * .... + * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0] + */ + + /* In this stage the MAC operations are increased by 1 for every iteration. + The count variable holds the number of MAC operations performed. + Since the partial convolution starts from from firstIndex + Number of Macs to be performed is firstIndex + 1 */ + count = 1U + firstIndex; + + /* Working pointer of inputA */ + px = pIn1; + + /* Working pointer of inputB */ + pSrc1 = pIn2 + firstIndex; + py = pSrc1; + + /* ------------------------ + * Stage1 process + * ----------------------*/ + + /* The first stage starts here */ + while (blockSize1 > 0) + { + /* Accumulator is made zero for every iteration */ + sum = 0.0f; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = count >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* x[0] * y[srcBLen - 1] */ + sum += *px++ * *py--; + + /* x[1] * y[srcBLen - 2] */ + sum += *px++ * *py--; + + /* x[2] * y[srcBLen - 3] */ + sum += *px++ * *py--; + + /* x[3] * y[srcBLen - 4] */ + sum += *px++ * *py--; + + /* Decrement the loop counter */ + k--; + } + + /* If the count is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = count % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum += *px++ * *py--; + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = sum; + + /* Update the inputA and inputB pointers for next MAC calculation */ + py = ++pSrc1; + px = pIn1; + + /* Increment the MAC count */ + count++; + + /* Decrement the loop counter */ + blockSize1--; + } + + /* -------------------------- + * Initializations of stage2 + * ------------------------*/ + + /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0] + * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0] + * .... + * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0] + */ + + /* Working pointer of inputA */ + if ((int32_t)firstIndex - (int32_t)srcBLen + 1 > 0) + { + px = pIn1 + firstIndex - srcBLen + 1; + } + else + { + px = pIn1; + } + + /* Working pointer of inputB */ + pSrc2 = pIn2 + (srcBLen - 1U); + py = pSrc2; + + /* count is index by which the pointer pIn1 to be incremented */ + count = 0U; + + /* ------------------- + * Stage2 process + * ------------------*/ + + /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed. + * So, to loop unroll over blockSize2, + * srcBLen should be greater than or equal to 4 */ + if (srcBLen >= 4U) + { + /* Loop unroll over blockSize2, by 4 */ + blkCnt = ((uint32_t) blockSize2 >> 2U); + + while (blkCnt > 0U) + { + /* Set all accumulators to zero */ + acc0 = 0.0f; + acc1 = 0.0f; + acc2 = 0.0f; + acc3 = 0.0f; + + /* read x[0], x[1], x[2] samples */ + x0 = *(px++); + x1 = *(px++); + x2 = *(px++); + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = srcBLen >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + do + { + /* Read y[srcBLen - 1] sample */ + c0 = *(py--); + + /* Read x[3] sample */ + x3 = *(px++); + + /* Perform the multiply-accumulate */ + /* acc0 += x[0] * y[srcBLen - 1] */ + acc0 += x0 * c0; + + /* acc1 += x[1] * y[srcBLen - 1] */ + acc1 += x1 * c0; + + /* acc2 += x[2] * y[srcBLen - 1] */ + acc2 += x2 * c0; + + /* acc3 += x[3] * y[srcBLen - 1] */ + acc3 += x3 * c0; + + /* Read y[srcBLen - 2] sample */ + c0 = *(py--); + + /* Read x[4] sample */ + x0 = *(px++); + + /* Perform the multiply-accumulate */ + /* acc0 += x[1] * y[srcBLen - 2] */ + acc0 += x1 * c0; + /* acc1 += x[2] * y[srcBLen - 2] */ + acc1 += x2 * c0; + /* acc2 += x[3] * y[srcBLen - 2] */ + acc2 += x3 * c0; + /* acc3 += x[4] * y[srcBLen - 2] */ + acc3 += x0 * c0; + + /* Read y[srcBLen - 3] sample */ + c0 = *(py--); + + /* Read x[5] sample */ + x1 = *(px++); + + /* Perform the multiply-accumulates */ + /* acc0 += x[2] * y[srcBLen - 3] */ + acc0 += x2 * c0; + /* acc1 += x[3] * y[srcBLen - 2] */ + acc1 += x3 * c0; + /* acc2 += x[4] * y[srcBLen - 2] */ + acc2 += x0 * c0; + /* acc3 += x[5] * y[srcBLen - 2] */ + acc3 += x1 * c0; + + /* Read y[srcBLen - 4] sample */ + c0 = *(py--); + + /* Read x[6] sample */ + x2 = *(px++); + + /* Perform the multiply-accumulates */ + /* acc0 += x[3] * y[srcBLen - 4] */ + acc0 += x3 * c0; + /* acc1 += x[4] * y[srcBLen - 4] */ + acc1 += x0 * c0; + /* acc2 += x[5] * y[srcBLen - 4] */ + acc2 += x1 * c0; + /* acc3 += x[6] * y[srcBLen - 4] */ + acc3 += x2 * c0; + + + } while (--k); + + /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = srcBLen % 0x4U; + + while (k > 0U) + { + /* Read y[srcBLen - 5] sample */ + c0 = *(py--); + + /* Read x[7] sample */ + x3 = *(px++); + + /* Perform the multiply-accumulates */ + /* acc0 += x[4] * y[srcBLen - 5] */ + acc0 += x0 * c0; + /* acc1 += x[5] * y[srcBLen - 5] */ + acc1 += x1 * c0; + /* acc2 += x[6] * y[srcBLen - 5] */ + acc2 += x2 * c0; + /* acc3 += x[7] * y[srcBLen - 5] */ + acc3 += x3 * c0; + + /* Reuse the present samples for the next MAC */ + x0 = x1; + x1 = x2; + x2 = x3; + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = acc0; + *pOut++ = acc1; + *pOut++ = acc2; + *pOut++ = acc3; + + /* Increment the pointer pIn1 index, count by 1 */ + count += 4U; + + /* Update the inputA and inputB pointers for next MAC calculation */ + if ((int32_t)firstIndex - (int32_t)srcBLen + 1 > 0) + { + px = pIn1 + firstIndex - srcBLen + 1 + count; + } + else + { + px = pIn1 + count; + } + py = pSrc2; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = (uint32_t) blockSize2 % 0x4U; + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0.0f; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = srcBLen >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum += *px++ * *py--; + sum += *px++ * *py--; + sum += *px++ * *py--; + sum += *px++ * *py--; + + /* Decrement the loop counter */ + k--; + } + + /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = srcBLen % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum += *px++ * *py--; + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = sum; + + /* Increment the MAC count */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + if ((int32_t)firstIndex - (int32_t)srcBLen + 1 > 0) + { + px = pIn1 + firstIndex - srcBLen + 1 + count; + } + else + { + px = pIn1 + count; + } + py = pSrc2; + + /* Decrement the loop counter */ + blkCnt--; + } + } + else + { + /* If the srcBLen is not a multiple of 4, + * the blockSize2 loop cannot be unrolled by 4 */ + blkCnt = (uint32_t) blockSize2; + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0.0f; + + /* srcBLen number of MACS should be performed */ + k = srcBLen; + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum += *px++ * *py--; + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = sum; + + /* Increment the MAC count */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + if ((int32_t)firstIndex - (int32_t)srcBLen + 1 > 0) + { + px = pIn1 + firstIndex - srcBLen + 1 + count; + } + else + { + px = pIn1 + count; + } + py = pSrc2; + + /* Decrement the loop counter */ + blkCnt--; + } + } + + + /* -------------------------- + * Initializations of stage3 + * -------------------------*/ + + /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1] + * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2] + * .... + * sum += x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2] + * sum += x[srcALen-1] * y[srcBLen-1] + */ + + /* In this stage the MAC operations are decreased by 1 for every iteration. + The count variable holds the number of MAC operations performed */ + count = srcBLen - 1U; + + /* Working pointer of inputA */ + pSrc1 = (pIn1 + srcALen) - (srcBLen - 1U); + px = pSrc1; + + /* Working pointer of inputB */ + pSrc2 = pIn2 + (srcBLen - 1U); + py = pSrc2; + + while (blockSize3 > 0) + { + /* Accumulator is made zero for every iteration */ + sum = 0.0f; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = count >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* sum += x[srcALen - srcBLen + 1] * y[srcBLen - 1] */ + sum += *px++ * *py--; + + /* sum += x[srcALen - srcBLen + 2] * y[srcBLen - 2] */ + sum += *px++ * *py--; + + /* sum += x[srcALen - srcBLen + 3] * y[srcBLen - 3] */ + sum += *px++ * *py--; + + /* sum += x[srcALen - srcBLen + 4] * y[srcBLen - 4] */ + sum += *px++ * *py--; + + /* Decrement the loop counter */ + k--; + } + + /* If the count is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = count % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + /* sum += x[srcALen-1] * y[srcBLen-1] */ + sum += *px++ * *py--; + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = sum; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = ++pSrc1; + py = pSrc2; + + /* Decrement the MAC count */ + count--; + + /* Decrement the loop counter */ + blockSize3--; + + } + + /* set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + } + + /* Return to application */ + return (status); + +#else + + /* Run the below code for Cortex-M0 */ + + float32_t *pIn1 = pSrcA; /* inputA pointer */ + float32_t *pIn2 = pSrcB; /* inputB pointer */ + float32_t sum; /* Accumulator */ + uint32_t i, j; /* loop counters */ + arm_status status; /* status of Partial convolution */ + + /* Check for range of output samples to be calculated */ + if ((firstIndex + numPoints) > ((srcALen + (srcBLen - 1U)))) + { + /* Set status as ARM_ARGUMENT_ERROR */ + status = ARM_MATH_ARGUMENT_ERROR; + } + else + { + /* Loop to calculate convolution for output length number of values */ + for (i = firstIndex; i <= (firstIndex + numPoints - 1); i++) + { + /* Initialize sum with zero to carry on MAC operations */ + sum = 0.0f; + + /* Loop to perform MAC operations according to convolution equation */ + for (j = 0U; j <= i; j++) + { + /* Check the array limitations for inputs */ + if ((((i - j) < srcBLen) && (j < srcALen))) + { + /* z[i] += x[i-j] * y[j] */ + sum += pIn1[j] * pIn2[i - j]; + } + } + /* Store the output in the destination buffer */ + pDst[i] = sum; + } + /* set status as ARM_SUCCESS as there are no argument errors */ + status = ARM_MATH_SUCCESS; + } + return (status); + +#endif /* #if defined (ARM_MATH_DSP) */ + +} + +/** + * @} end of PartialConv group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_fast_opt_q15.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_fast_opt_q15.c new file mode 100644 index 0000000..f469d1f --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_fast_opt_q15.c @@ -0,0 +1,756 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_conv_partial_fast_opt_q15.c + * Description: Fast Q15 Partial convolution + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupFilters + */ + +/** + * @addtogroup PartialConv + * @{ + */ + +/** + * @brief Partial convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4. + * @param[in] *pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] *pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] *pDst points to the location where the output result is written. + * @param[in] firstIndex is the first output sample to start with. + * @param[in] numPoints is the number of output points to be computed. + * @param[in] *pScratch1 points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2. + * @param[in] *pScratch2 points to scratch buffer of size min(srcALen, srcBLen). + * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2]. + * + * See arm_conv_partial_q15() for a slower implementation of this function which uses a 64-bit accumulator to avoid wrap around distortion. + * + * \par Restrictions + * If the silicon does not support unaligned memory access enable the macro UNALIGNED_SUPPORT_DISABLE + * In this case input, output, scratch1 and scratch2 buffers should be aligned by 32-bit + * + */ + +#ifndef UNALIGNED_SUPPORT_DISABLE + +arm_status arm_conv_partial_fast_opt_q15( + q15_t * pSrcA, + uint32_t srcALen, + q15_t * pSrcB, + uint32_t srcBLen, + q15_t * pDst, + uint32_t firstIndex, + uint32_t numPoints, + q15_t * pScratch1, + q15_t * pScratch2) +{ + + q15_t *pOut = pDst; /* output pointer */ + q15_t *pScr1 = pScratch1; /* Temporary pointer for scratch1 */ + q15_t *pScr2 = pScratch2; /* Temporary pointer for scratch1 */ + q31_t acc0, acc1, acc2, acc3; /* Accumulator */ + q31_t x1, x2, x3; /* Temporary variables to hold state and coefficient values */ + q31_t y1, y2; /* State variables */ + q15_t *pIn1; /* inputA pointer */ + q15_t *pIn2; /* inputB pointer */ + q15_t *px; /* Intermediate inputA pointer */ + q15_t *py; /* Intermediate inputB pointer */ + uint32_t j, k, blkCnt; /* loop counter */ + arm_status status; + + uint32_t tapCnt; /* loop count */ + + /* Check for range of output samples to be calculated */ + if ((firstIndex + numPoints) > ((srcALen + (srcBLen - 1U)))) + { + /* Set status as ARM_MATH_ARGUMENT_ERROR */ + status = ARM_MATH_ARGUMENT_ERROR; + } + else + { + + /* The algorithm implementation is based on the lengths of the inputs. */ + /* srcB is always made to slide across srcA. */ + /* So srcBLen is always considered as shorter or equal to srcALen */ + if (srcALen >= srcBLen) + { + /* Initialization of inputA pointer */ + pIn1 = pSrcA; + + /* Initialization of inputB pointer */ + pIn2 = pSrcB; + } + else + { + /* Initialization of inputA pointer */ + pIn1 = pSrcB; + + /* Initialization of inputB pointer */ + pIn2 = pSrcA; + + /* srcBLen is always considered as shorter or equal to srcALen */ + j = srcBLen; + srcBLen = srcALen; + srcALen = j; + } + + /* Temporary pointer for scratch2 */ + py = pScratch2; + + /* pointer to take end of scratch2 buffer */ + pScr2 = pScratch2 + srcBLen - 1; + + /* points to smaller length sequence */ + px = pIn2; + + /* Apply loop unrolling and do 4 Copies simultaneously. */ + k = srcBLen >> 2U; + + /* First part of the processing with loop unrolling copies 4 data points at a time. + ** a second loop below copies for the remaining 1 to 3 samples. */ + + /* Copy smaller length input sequence in reverse order into second scratch buffer */ + while (k > 0U) + { + /* copy second buffer in reversal manner */ + *pScr2-- = *px++; + *pScr2-- = *px++; + *pScr2-- = *px++; + *pScr2-- = *px++; + + /* Decrement the loop counter */ + k--; + } + + /* If the count is not a multiple of 4, copy remaining samples here. + ** No loop unrolling is used. */ + k = srcBLen % 0x4U; + + while (k > 0U) + { + /* copy second buffer in reversal manner for remaining samples */ + *pScr2-- = *px++; + + /* Decrement the loop counter */ + k--; + } + + /* Initialze temporary scratch pointer */ + pScr1 = pScratch1; + + /* Assuming scratch1 buffer is aligned by 32-bit */ + /* Fill (srcBLen - 1U) zeros in scratch buffer */ + arm_fill_q15(0, pScr1, (srcBLen - 1U)); + + /* Update temporary scratch pointer */ + pScr1 += (srcBLen - 1U); + + /* Copy bigger length sequence(srcALen) samples in scratch1 buffer */ + + /* Copy (srcALen) samples in scratch buffer */ + arm_copy_q15(pIn1, pScr1, srcALen); + + /* Update pointers */ + pScr1 += srcALen; + + /* Fill (srcBLen - 1U) zeros at end of scratch buffer */ + arm_fill_q15(0, pScr1, (srcBLen - 1U)); + + /* Update pointer */ + pScr1 += (srcBLen - 1U); + + /* Initialization of pIn2 pointer */ + pIn2 = py; + + pScratch1 += firstIndex; + + pOut = pDst + firstIndex; + + /* First part of the processing with loop unrolling process 4 data points at a time. + ** a second loop below process for the remaining 1 to 3 samples. */ + + /* Actual convolution process starts here */ + blkCnt = (numPoints) >> 2; + + while (blkCnt > 0) + { + /* Initialze temporary scratch pointer as scratch1 */ + pScr1 = pScratch1; + + /* Clear Accumlators */ + acc0 = 0; + acc1 = 0; + acc2 = 0; + acc3 = 0; + + /* Read two samples from scratch1 buffer */ + x1 = *__SIMD32(pScr1)++; + + /* Read next two samples from scratch1 buffer */ + x2 = *__SIMD32(pScr1)++; + + tapCnt = (srcBLen) >> 2U; + + while (tapCnt > 0U) + { + + /* Read four samples from smaller buffer */ + y1 = _SIMD32_OFFSET(pIn2); + y2 = _SIMD32_OFFSET(pIn2 + 2U); + + /* multiply and accumlate */ + acc0 = __SMLAD(x1, y1, acc0); + acc2 = __SMLAD(x2, y1, acc2); + + /* pack input data */ +#ifndef ARM_MATH_BIG_ENDIAN + x3 = __PKHBT(x2, x1, 0); +#else + x3 = __PKHBT(x1, x2, 0); +#endif + + /* multiply and accumlate */ + acc1 = __SMLADX(x3, y1, acc1); + + /* Read next two samples from scratch1 buffer */ + x1 = _SIMD32_OFFSET(pScr1); + + /* multiply and accumlate */ + acc0 = __SMLAD(x2, y2, acc0); + + acc2 = __SMLAD(x1, y2, acc2); + + /* pack input data */ +#ifndef ARM_MATH_BIG_ENDIAN + x3 = __PKHBT(x1, x2, 0); +#else + x3 = __PKHBT(x2, x1, 0); +#endif + + acc3 = __SMLADX(x3, y1, acc3); + acc1 = __SMLADX(x3, y2, acc1); + + x2 = _SIMD32_OFFSET(pScr1 + 2U); + +#ifndef ARM_MATH_BIG_ENDIAN + x3 = __PKHBT(x2, x1, 0); +#else + x3 = __PKHBT(x1, x2, 0); +#endif + + acc3 = __SMLADX(x3, y2, acc3); + + /* update scratch pointers */ + pIn2 += 4U; + pScr1 += 4U; + + + /* Decrement the loop counter */ + tapCnt--; + } + + /* Update scratch pointer for remaining samples of smaller length sequence */ + pScr1 -= 4U; + + /* apply same above for remaining samples of smaller length sequence */ + tapCnt = (srcBLen) & 3U; + + while (tapCnt > 0U) + { + + /* accumlate the results */ + acc0 += (*pScr1++ * *pIn2); + acc1 += (*pScr1++ * *pIn2); + acc2 += (*pScr1++ * *pIn2); + acc3 += (*pScr1++ * *pIn2++); + + pScr1 -= 3U; + + /* Decrement the loop counter */ + tapCnt--; + } + + blkCnt--; + + + /* Store the results in the accumulators in the destination buffer. */ + +#ifndef ARM_MATH_BIG_ENDIAN + + *__SIMD32(pOut)++ = + __PKHBT(__SSAT((acc0 >> 15), 16), __SSAT((acc1 >> 15), 16), 16); + *__SIMD32(pOut)++ = + __PKHBT(__SSAT((acc2 >> 15), 16), __SSAT((acc3 >> 15), 16), 16); + +#else + + *__SIMD32(pOut)++ = + __PKHBT(__SSAT((acc1 >> 15), 16), __SSAT((acc0 >> 15), 16), 16); + *__SIMD32(pOut)++ = + __PKHBT(__SSAT((acc3 >> 15), 16), __SSAT((acc2 >> 15), 16), 16); + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* Initialization of inputB pointer */ + pIn2 = py; + + pScratch1 += 4U; + + } + + + blkCnt = numPoints & 0x3; + + /* Calculate convolution for remaining samples of Bigger length sequence */ + while (blkCnt > 0) + { + /* Initialze temporary scratch pointer as scratch1 */ + pScr1 = pScratch1; + + /* Clear Accumlators */ + acc0 = 0; + + tapCnt = (srcBLen) >> 1U; + + while (tapCnt > 0U) + { + + /* Read next two samples from scratch1 buffer */ + x1 = *__SIMD32(pScr1)++; + + /* Read two samples from smaller buffer */ + y1 = *__SIMD32(pIn2)++; + + acc0 = __SMLAD(x1, y1, acc0); + + /* Decrement the loop counter */ + tapCnt--; + } + + tapCnt = (srcBLen) & 1U; + + /* apply same above for remaining samples of smaller length sequence */ + while (tapCnt > 0U) + { + + /* accumlate the results */ + acc0 += (*pScr1++ * *pIn2++); + + /* Decrement the loop counter */ + tapCnt--; + } + + blkCnt--; + + /* The result is in 2.30 format. Convert to 1.15 with saturation. + ** Then store the output in the destination buffer. */ + *pOut++ = (q15_t) (__SSAT((acc0 >> 15), 16)); + + /* Initialization of inputB pointer */ + pIn2 = py; + + pScratch1 += 1U; + + } + /* set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + } + /* Return to application */ + return (status); +} + +#else + +arm_status arm_conv_partial_fast_opt_q15( + q15_t * pSrcA, + uint32_t srcALen, + q15_t * pSrcB, + uint32_t srcBLen, + q15_t * pDst, + uint32_t firstIndex, + uint32_t numPoints, + q15_t * pScratch1, + q15_t * pScratch2) +{ + + q15_t *pOut = pDst; /* output pointer */ + q15_t *pScr1 = pScratch1; /* Temporary pointer for scratch1 */ + q15_t *pScr2 = pScratch2; /* Temporary pointer for scratch1 */ + q31_t acc0, acc1, acc2, acc3; /* Accumulator */ + q15_t *pIn1; /* inputA pointer */ + q15_t *pIn2; /* inputB pointer */ + q15_t *px; /* Intermediate inputA pointer */ + q15_t *py; /* Intermediate inputB pointer */ + uint32_t j, k, blkCnt; /* loop counter */ + arm_status status; /* Status variable */ + uint32_t tapCnt; /* loop count */ + q15_t x10, x11, x20, x21; /* Temporary variables to hold srcA buffer */ + q15_t y10, y11; /* Temporary variables to hold srcB buffer */ + + + /* Check for range of output samples to be calculated */ + if ((firstIndex + numPoints) > ((srcALen + (srcBLen - 1U)))) + { + /* Set status as ARM_MATH_ARGUMENT_ERROR */ + status = ARM_MATH_ARGUMENT_ERROR; + } + else + { + + /* The algorithm implementation is based on the lengths of the inputs. */ + /* srcB is always made to slide across srcA. */ + /* So srcBLen is always considered as shorter or equal to srcALen */ + if (srcALen >= srcBLen) + { + /* Initialization of inputA pointer */ + pIn1 = pSrcA; + + /* Initialization of inputB pointer */ + pIn2 = pSrcB; + } + else + { + /* Initialization of inputA pointer */ + pIn1 = pSrcB; + + /* Initialization of inputB pointer */ + pIn2 = pSrcA; + + /* srcBLen is always considered as shorter or equal to srcALen */ + j = srcBLen; + srcBLen = srcALen; + srcALen = j; + } + + /* Temporary pointer for scratch2 */ + py = pScratch2; + + /* pointer to take end of scratch2 buffer */ + pScr2 = pScratch2 + srcBLen - 1; + + /* points to smaller length sequence */ + px = pIn2; + + /* Apply loop unrolling and do 4 Copies simultaneously. */ + k = srcBLen >> 2U; + + /* First part of the processing with loop unrolling copies 4 data points at a time. + ** a second loop below copies for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* copy second buffer in reversal manner */ + *pScr2-- = *px++; + *pScr2-- = *px++; + *pScr2-- = *px++; + *pScr2-- = *px++; + + /* Decrement the loop counter */ + k--; + } + + /* If the count is not a multiple of 4, copy remaining samples here. + ** No loop unrolling is used. */ + k = srcBLen % 0x4U; + + while (k > 0U) + { + /* copy second buffer in reversal manner for remaining samples */ + *pScr2-- = *px++; + + /* Decrement the loop counter */ + k--; + } + + /* Initialze temporary scratch pointer */ + pScr1 = pScratch1; + + /* Fill (srcBLen - 1U) zeros in scratch buffer */ + arm_fill_q15(0, pScr1, (srcBLen - 1U)); + + /* Update temporary scratch pointer */ + pScr1 += (srcBLen - 1U); + + /* Copy bigger length sequence(srcALen) samples in scratch1 buffer */ + + + /* Apply loop unrolling and do 4 Copies simultaneously. */ + k = srcALen >> 2U; + + /* First part of the processing with loop unrolling copies 4 data points at a time. + ** a second loop below copies for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* copy second buffer in reversal manner */ + *pScr1++ = *pIn1++; + *pScr1++ = *pIn1++; + *pScr1++ = *pIn1++; + *pScr1++ = *pIn1++; + + /* Decrement the loop counter */ + k--; + } + + /* If the count is not a multiple of 4, copy remaining samples here. + ** No loop unrolling is used. */ + k = srcALen % 0x4U; + + while (k > 0U) + { + /* copy second buffer in reversal manner for remaining samples */ + *pScr1++ = *pIn1++; + + /* Decrement the loop counter */ + k--; + } + + + /* Apply loop unrolling and do 4 Copies simultaneously. */ + k = (srcBLen - 1U) >> 2U; + + /* First part of the processing with loop unrolling copies 4 data points at a time. + ** a second loop below copies for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* copy second buffer in reversal manner */ + *pScr1++ = 0; + *pScr1++ = 0; + *pScr1++ = 0; + *pScr1++ = 0; + + /* Decrement the loop counter */ + k--; + } + + /* If the count is not a multiple of 4, copy remaining samples here. + ** No loop unrolling is used. */ + k = (srcBLen - 1U) % 0x4U; + + while (k > 0U) + { + /* copy second buffer in reversal manner for remaining samples */ + *pScr1++ = 0; + + /* Decrement the loop counter */ + k--; + } + + + /* Initialization of pIn2 pointer */ + pIn2 = py; + + pScratch1 += firstIndex; + + pOut = pDst + firstIndex; + + /* Actual convolution process starts here */ + blkCnt = (numPoints) >> 2; + + while (blkCnt > 0) + { + /* Initialze temporary scratch pointer as scratch1 */ + pScr1 = pScratch1; + + /* Clear Accumlators */ + acc0 = 0; + acc1 = 0; + acc2 = 0; + acc3 = 0; + + /* Read two samples from scratch1 buffer */ + x10 = *pScr1++; + x11 = *pScr1++; + + /* Read next two samples from scratch1 buffer */ + x20 = *pScr1++; + x21 = *pScr1++; + + tapCnt = (srcBLen) >> 2U; + + while (tapCnt > 0U) + { + + /* Read two samples from smaller buffer */ + y10 = *pIn2; + y11 = *(pIn2 + 1U); + + /* multiply and accumlate */ + acc0 += (q31_t) x10 *y10; + acc0 += (q31_t) x11 *y11; + acc2 += (q31_t) x20 *y10; + acc2 += (q31_t) x21 *y11; + + /* multiply and accumlate */ + acc1 += (q31_t) x11 *y10; + acc1 += (q31_t) x20 *y11; + + /* Read next two samples from scratch1 buffer */ + x10 = *pScr1; + x11 = *(pScr1 + 1U); + + /* multiply and accumlate */ + acc3 += (q31_t) x21 *y10; + acc3 += (q31_t) x10 *y11; + + /* Read next two samples from scratch2 buffer */ + y10 = *(pIn2 + 2U); + y11 = *(pIn2 + 3U); + + /* multiply and accumlate */ + acc0 += (q31_t) x20 *y10; + acc0 += (q31_t) x21 *y11; + acc2 += (q31_t) x10 *y10; + acc2 += (q31_t) x11 *y11; + acc1 += (q31_t) x21 *y10; + acc1 += (q31_t) x10 *y11; + + /* Read next two samples from scratch1 buffer */ + x20 = *(pScr1 + 2); + x21 = *(pScr1 + 3); + + /* multiply and accumlate */ + acc3 += (q31_t) x11 *y10; + acc3 += (q31_t) x20 *y11; + + /* update scratch pointers */ + pIn2 += 4U; + pScr1 += 4U; + + /* Decrement the loop counter */ + tapCnt--; + } + + /* Update scratch pointer for remaining samples of smaller length sequence */ + pScr1 -= 4U; + + /* apply same above for remaining samples of smaller length sequence */ + tapCnt = (srcBLen) & 3U; + + while (tapCnt > 0U) + { + /* accumlate the results */ + acc0 += (*pScr1++ * *pIn2); + acc1 += (*pScr1++ * *pIn2); + acc2 += (*pScr1++ * *pIn2); + acc3 += (*pScr1++ * *pIn2++); + + pScr1 -= 3U; + + /* Decrement the loop counter */ + tapCnt--; + } + + blkCnt--; + + + /* Store the results in the accumulators in the destination buffer. */ + *pOut++ = __SSAT((acc0 >> 15), 16); + *pOut++ = __SSAT((acc1 >> 15), 16); + *pOut++ = __SSAT((acc2 >> 15), 16); + *pOut++ = __SSAT((acc3 >> 15), 16); + + /* Initialization of inputB pointer */ + pIn2 = py; + + pScratch1 += 4U; + + } + + + blkCnt = numPoints & 0x3; + + /* Calculate convolution for remaining samples of Bigger length sequence */ + while (blkCnt > 0) + { + /* Initialze temporary scratch pointer as scratch1 */ + pScr1 = pScratch1; + + /* Clear Accumlators */ + acc0 = 0; + + tapCnt = (srcBLen) >> 1U; + + while (tapCnt > 0U) + { + + /* Read next two samples from scratch1 buffer */ + x10 = *pScr1++; + x11 = *pScr1++; + + /* Read two samples from smaller buffer */ + y10 = *pIn2++; + y11 = *pIn2++; + + /* multiply and accumlate */ + acc0 += (q31_t) x10 *y10; + acc0 += (q31_t) x11 *y11; + + /* Decrement the loop counter */ + tapCnt--; + } + + tapCnt = (srcBLen) & 1U; + + /* apply same above for remaining samples of smaller length sequence */ + while (tapCnt > 0U) + { + + /* accumlate the results */ + acc0 += (*pScr1++ * *pIn2++); + + /* Decrement the loop counter */ + tapCnt--; + } + + blkCnt--; + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q15_t) (__SSAT((acc0 >> 15), 16)); + + /* Initialization of inputB pointer */ + pIn2 = py; + + pScratch1 += 1U; + + } + + /* set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + + } + + /* Return to application */ + return (status); +} + +#endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */ + +/** + * @} end of PartialConv group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_fast_q15.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_fast_q15.c new file mode 100644 index 0000000..0d4486a --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_fast_q15.c @@ -0,0 +1,1494 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_conv_partial_fast_q15.c + * Description: Fast Q15 Partial convolution + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupFilters + */ + +/** + * @addtogroup PartialConv + * @{ + */ + +/** + * @brief Partial convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4. + * @param[in] *pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] *pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] *pDst points to the location where the output result is written. + * @param[in] firstIndex is the first output sample to start with. + * @param[in] numPoints is the number of output points to be computed. + * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2]. + * + * See arm_conv_partial_q15() for a slower implementation of this function which uses a 64-bit accumulator to avoid wrap around distortion. + */ + + +arm_status arm_conv_partial_fast_q15( + q15_t * pSrcA, + uint32_t srcALen, + q15_t * pSrcB, + uint32_t srcBLen, + q15_t * pDst, + uint32_t firstIndex, + uint32_t numPoints) +{ +#ifndef UNALIGNED_SUPPORT_DISABLE + + q15_t *pIn1; /* inputA pointer */ + q15_t *pIn2; /* inputB pointer */ + q15_t *pOut = pDst; /* output pointer */ + q31_t sum, acc0, acc1, acc2, acc3; /* Accumulator */ + q15_t *px; /* Intermediate inputA pointer */ + q15_t *py; /* Intermediate inputB pointer */ + q15_t *pSrc1, *pSrc2; /* Intermediate pointers */ + q31_t x0, x1, x2, x3, c0; + uint32_t j, k, count, check, blkCnt; + int32_t blockSize1, blockSize2, blockSize3; /* loop counters */ + arm_status status; /* status of Partial convolution */ + + /* Check for range of output samples to be calculated */ + if ((firstIndex + numPoints) > ((srcALen + (srcBLen - 1U)))) + { + /* Set status as ARM_MATH_ARGUMENT_ERROR */ + status = ARM_MATH_ARGUMENT_ERROR; + } + else + { + + /* The algorithm implementation is based on the lengths of the inputs. */ + /* srcB is always made to slide across srcA. */ + /* So srcBLen is always considered as shorter or equal to srcALen */ + if (srcALen >=srcBLen) + { + /* Initialization of inputA pointer */ + pIn1 = pSrcA; + + /* Initialization of inputB pointer */ + pIn2 = pSrcB; + } + else + { + /* Initialization of inputA pointer */ + pIn1 = pSrcB; + + /* Initialization of inputB pointer */ + pIn2 = pSrcA; + + /* srcBLen is always considered as shorter or equal to srcALen */ + j = srcBLen; + srcBLen = srcALen; + srcALen = j; + } + + /* Conditions to check which loopCounter holds + * the first and last indices of the output samples to be calculated. */ + check = firstIndex + numPoints; + blockSize3 = ((int32_t)check > (int32_t)srcALen) ? (int32_t)check - (int32_t)srcALen : 0; + blockSize3 = ((int32_t)firstIndex > (int32_t)srcALen - 1) ? blockSize3 - (int32_t)firstIndex + (int32_t)srcALen : blockSize3; + blockSize1 = (((int32_t) srcBLen - 1) - (int32_t) firstIndex); + blockSize1 = (blockSize1 > 0) ? ((check > (srcBLen - 1U)) ? blockSize1 : + (int32_t) numPoints) : 0; + blockSize2 = (int32_t) check - ((blockSize3 + blockSize1) + + (int32_t) firstIndex); + blockSize2 = (blockSize2 > 0) ? blockSize2 : 0; + + /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */ + /* The function is internally + * divided into three stages according to the number of multiplications that has to be + * taken place between inputA samples and inputB samples. In the first stage of the + * algorithm, the multiplications increase by one for every iteration. + * In the second stage of the algorithm, srcBLen number of multiplications are done. + * In the third stage of the algorithm, the multiplications decrease by one + * for every iteration. */ + + /* Set the output pointer to point to the firstIndex + * of the output sample to be calculated. */ + pOut = pDst + firstIndex; + + /* -------------------------- + * Initializations of stage1 + * -------------------------*/ + + /* sum = x[0] * y[0] + * sum = x[0] * y[1] + x[1] * y[0] + * .... + * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0] + */ + + /* In this stage the MAC operations are increased by 1 for every iteration. + The count variable holds the number of MAC operations performed. + Since the partial convolution starts from firstIndex + Number of Macs to be performed is firstIndex + 1 */ + count = 1U + firstIndex; + + /* Working pointer of inputA */ + px = pIn1; + + /* Working pointer of inputB */ + pSrc2 = pIn2 + firstIndex; + py = pSrc2; + + /* ------------------------ + * Stage1 process + * ----------------------*/ + + /* For loop unrolling by 4, this stage is divided into two. */ + /* First part of this stage computes the MAC operations less than 4 */ + /* Second part of this stage computes the MAC operations greater than or equal to 4 */ + + /* The first part of the stage starts here */ + while ((count < 4U) && (blockSize1 > 0)) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Loop over number of MAC operations between + * inputA samples and inputB samples */ + k = count; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum = __SMLAD(*px++, *py--, sum); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q15_t) (sum >> 15); + + /* Update the inputA and inputB pointers for next MAC calculation */ + py = ++pSrc2; + px = pIn1; + + /* Increment the MAC count */ + count++; + + /* Decrement the loop counter */ + blockSize1--; + } + + /* The second part of the stage starts here */ + /* The internal loop, over count, is unrolled by 4 */ + /* To, read the last two inputB samples using SIMD: + * y[srcBLen] and y[srcBLen-1] coefficients, py is decremented by 1 */ + py = py - 1; + + while (blockSize1 > 0) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = count >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* Perform the multiply-accumulates */ + /* x[0], x[1] are multiplied with y[srcBLen - 1], y[srcBLen - 2] respectively */ + sum = __SMLADX(*__SIMD32(px)++, *__SIMD32(py)--, sum); + /* x[2], x[3] are multiplied with y[srcBLen - 3], y[srcBLen - 4] respectively */ + sum = __SMLADX(*__SIMD32(px)++, *__SIMD32(py)--, sum); + + /* Decrement the loop counter */ + k--; + } + + /* For the next MAC operations, the pointer py is used without SIMD + * So, py is incremented by 1 */ + py = py + 1U; + + /* If the count is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = count % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum = __SMLAD(*px++, *py--, sum); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q15_t) (sum >> 15); + + /* Update the inputA and inputB pointers for next MAC calculation */ + py = ++pSrc2 - 1U; + px = pIn1; + + /* Increment the MAC count */ + count++; + + /* Decrement the loop counter */ + blockSize1--; + } + + /* -------------------------- + * Initializations of stage2 + * ------------------------*/ + + /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0] + * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0] + * .... + * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0] + */ + + /* Working pointer of inputA */ + if ((int32_t)firstIndex - (int32_t)srcBLen + 1 > 0) + { + px = pIn1 + firstIndex - srcBLen + 1; + } + else + { + px = pIn1; + } + + /* Working pointer of inputB */ + pSrc2 = pIn2 + (srcBLen - 1U); + py = pSrc2; + + /* count is the index by which the pointer pIn1 to be incremented */ + count = 0U; + + + /* -------------------- + * Stage2 process + * -------------------*/ + + /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed. + * So, to loop unroll over blockSize2, + * srcBLen should be greater than or equal to 4 */ + if (srcBLen >= 4U) + { + /* Loop unroll over blockSize2, by 4 */ + blkCnt = ((uint32_t) blockSize2 >> 2U); + + while (blkCnt > 0U) + { + py = py - 1U; + + /* Set all accumulators to zero */ + acc0 = 0; + acc1 = 0; + acc2 = 0; + acc3 = 0; + + + /* read x[0], x[1] samples */ + x0 = *__SIMD32(px); + /* read x[1], x[2] samples */ + x1 = _SIMD32_OFFSET(px+1); + px+= 2U; + + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = srcBLen >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + do + { + /* Read the last two inputB samples using SIMD: + * y[srcBLen - 1] and y[srcBLen - 2] */ + c0 = *__SIMD32(py)--; + + /* acc0 += x[0] * y[srcBLen - 1] + x[1] * y[srcBLen - 2] */ + acc0 = __SMLADX(x0, c0, acc0); + + /* acc1 += x[1] * y[srcBLen - 1] + x[2] * y[srcBLen - 2] */ + acc1 = __SMLADX(x1, c0, acc1); + + /* Read x[2], x[3] */ + x2 = *__SIMD32(px); + + /* Read x[3], x[4] */ + x3 = _SIMD32_OFFSET(px+1); + + /* acc2 += x[2] * y[srcBLen - 1] + x[3] * y[srcBLen - 2] */ + acc2 = __SMLADX(x2, c0, acc2); + + /* acc3 += x[3] * y[srcBLen - 1] + x[4] * y[srcBLen - 2] */ + acc3 = __SMLADX(x3, c0, acc3); + + /* Read y[srcBLen - 3] and y[srcBLen - 4] */ + c0 = *__SIMD32(py)--; + + /* acc0 += x[2] * y[srcBLen - 3] + x[3] * y[srcBLen - 4] */ + acc0 = __SMLADX(x2, c0, acc0); + + /* acc1 += x[3] * y[srcBLen - 3] + x[4] * y[srcBLen - 4] */ + acc1 = __SMLADX(x3, c0, acc1); + + /* Read x[4], x[5] */ + x0 = _SIMD32_OFFSET(px+2); + + /* Read x[5], x[6] */ + x1 = _SIMD32_OFFSET(px+3); + px += 4U; + + /* acc2 += x[4] * y[srcBLen - 3] + x[5] * y[srcBLen - 4] */ + acc2 = __SMLADX(x0, c0, acc2); + + /* acc3 += x[5] * y[srcBLen - 3] + x[6] * y[srcBLen - 4] */ + acc3 = __SMLADX(x1, c0, acc3); + + } while (--k); + + /* For the next MAC operations, SIMD is not used + * So, the 16 bit pointer if inputB, py is updated */ + + /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = srcBLen % 0x4U; + + if (k == 1U) + { + /* Read y[srcBLen - 5] */ + c0 = *(py+1); +#ifdef ARM_MATH_BIG_ENDIAN + + c0 = c0 << 16U; + +#else + + c0 = c0 & 0x0000FFFF; + +#endif /* #ifdef ARM_MATH_BIG_ENDIAN */ + + /* Read x[7] */ + x3 = *__SIMD32(px); + px++; + + /* Perform the multiply-accumulates */ + acc0 = __SMLAD(x0, c0, acc0); + acc1 = __SMLAD(x1, c0, acc1); + acc2 = __SMLADX(x1, c0, acc2); + acc3 = __SMLADX(x3, c0, acc3); + } + + if (k == 2U) + { + /* Read y[srcBLen - 5], y[srcBLen - 6] */ + c0 = _SIMD32_OFFSET(py); + + /* Read x[7], x[8] */ + x3 = *__SIMD32(px); + + /* Read x[9] */ + x2 = _SIMD32_OFFSET(px+1); + px += 2U; + + /* Perform the multiply-accumulates */ + acc0 = __SMLADX(x0, c0, acc0); + acc1 = __SMLADX(x1, c0, acc1); + acc2 = __SMLADX(x3, c0, acc2); + acc3 = __SMLADX(x2, c0, acc3); + } + + if (k == 3U) + { + /* Read y[srcBLen - 5], y[srcBLen - 6] */ + c0 = _SIMD32_OFFSET(py); + + /* Read x[7], x[8] */ + x3 = *__SIMD32(px); + + /* Read x[9] */ + x2 = _SIMD32_OFFSET(px+1); + + /* Perform the multiply-accumulates */ + acc0 = __SMLADX(x0, c0, acc0); + acc1 = __SMLADX(x1, c0, acc1); + acc2 = __SMLADX(x3, c0, acc2); + acc3 = __SMLADX(x2, c0, acc3); + + c0 = *(py-1); +#ifdef ARM_MATH_BIG_ENDIAN + + c0 = c0 << 16U; +#else + + c0 = c0 & 0x0000FFFF; +#endif /* #ifdef ARM_MATH_BIG_ENDIAN */ + + /* Read x[10] */ + x3 = _SIMD32_OFFSET(px+2); + px += 3U; + + /* Perform the multiply-accumulates */ + acc0 = __SMLADX(x1, c0, acc0); + acc1 = __SMLAD(x2, c0, acc1); + acc2 = __SMLADX(x2, c0, acc2); + acc3 = __SMLADX(x3, c0, acc3); + } + + /* Store the results in the accumulators in the destination buffer. */ +#ifndef ARM_MATH_BIG_ENDIAN + + *__SIMD32(pOut)++ = __PKHBT(acc0 >> 15, acc1 >> 15, 16); + *__SIMD32(pOut)++ = __PKHBT(acc2 >> 15, acc3 >> 15, 16); + +#else + + *__SIMD32(pOut)++ = __PKHBT(acc1 >> 15, acc0 >> 15, 16); + *__SIMD32(pOut)++ = __PKHBT(acc3 >> 15, acc2 >> 15, 16); + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* Increment the pointer pIn1 index, count by 4 */ + count += 4U; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pSrc2; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = (uint32_t) blockSize2 % 0x4U; + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = srcBLen >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum += ((q31_t) * px++ * *py--); + sum += ((q31_t) * px++ * *py--); + sum += ((q31_t) * px++ * *py--); + sum += ((q31_t) * px++ * *py--); + + /* Decrement the loop counter */ + k--; + } + + /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = srcBLen % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum += ((q31_t) * px++ * *py--); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q15_t) (sum >> 15); + + /* Increment the pointer pIn1 index, count by 1 */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + if ((int32_t)firstIndex - (int32_t)srcBLen + 1 > 0) + { + px = pIn1 + firstIndex - srcBLen + 1 + count; + } + else + { + px = pIn1 + count; + } + py = pSrc2; + + /* Decrement the loop counter */ + blkCnt--; + } + } + else + { + /* If the srcBLen is not a multiple of 4, + * the blockSize2 loop cannot be unrolled by 4 */ + blkCnt = (uint32_t) blockSize2; + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* srcBLen number of MACS should be performed */ + k = srcBLen; + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum += ((q31_t) * px++ * *py--); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q15_t) (sum >> 15); + + /* Increment the MAC count */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + if ((int32_t)firstIndex - (int32_t)srcBLen + 1 > 0) + { + px = pIn1 + firstIndex - srcBLen + 1 + count; + } + else + { + px = pIn1 + count; + } + py = pSrc2; + + /* Decrement the loop counter */ + blkCnt--; + } + } + + + /* -------------------------- + * Initializations of stage3 + * -------------------------*/ + + /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1] + * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2] + * .... + * sum += x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2] + * sum += x[srcALen-1] * y[srcBLen-1] + */ + + /* In this stage the MAC operations are decreased by 1 for every iteration. + The count variable holds the number of MAC operations performed */ + count = srcBLen - 1U; + + /* Working pointer of inputA */ + pSrc1 = (pIn1 + srcALen) - (srcBLen - 1U); + px = pSrc1; + + /* Working pointer of inputB */ + pSrc2 = pIn2 + (srcBLen - 1U); + pIn2 = pSrc2 - 1U; + py = pIn2; + + /* ------------------- + * Stage3 process + * ------------------*/ + + /* For loop unrolling by 4, this stage is divided into two. */ + /* First part of this stage computes the MAC operations greater than 4 */ + /* Second part of this stage computes the MAC operations less than or equal to 4 */ + + /* The first part of the stage starts here */ + j = count >> 2U; + + while ((j > 0U) && (blockSize3 > 0)) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = count >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* x[srcALen - srcBLen + 1], x[srcALen - srcBLen + 2] are multiplied + * with y[srcBLen - 1], y[srcBLen - 2] respectively */ + sum = __SMLADX(*__SIMD32(px)++, *__SIMD32(py)--, sum); + /* x[srcALen - srcBLen + 3], x[srcALen - srcBLen + 4] are multiplied + * with y[srcBLen - 3], y[srcBLen - 4] respectively */ + sum = __SMLADX(*__SIMD32(px)++, *__SIMD32(py)--, sum); + + /* Decrement the loop counter */ + k--; + } + + /* For the next MAC operations, the pointer py is used without SIMD + * So, py is incremented by 1 */ + py = py + 1U; + + /* If the count is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = count % 0x4U; + + while (k > 0U) + { + /* sum += x[srcALen - srcBLen + 5] * y[srcBLen - 5] */ + sum = __SMLAD(*px++, *py--, sum); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q15_t) (sum >> 15); + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = ++pSrc1; + py = pIn2; + + /* Decrement the MAC count */ + count--; + + /* Decrement the loop counter */ + blockSize3--; + + j--; + } + + /* The second part of the stage starts here */ + /* SIMD is not used for the next MAC operations, + * so pointer py is updated to read only one sample at a time */ + py = py + 1U; + + while (blockSize3 > 0) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = count; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + /* sum += x[srcALen-1] * y[srcBLen-1] */ + sum = __SMLAD(*px++, *py--, sum); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q15_t) (sum >> 15); + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = ++pSrc1; + py = pSrc2; + + /* Decrement the MAC count */ + count--; + + /* Decrement the loop counter */ + blockSize3--; + } + + /* set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + } + + /* Return to application */ + return (status); + +#else + + q15_t *pIn1; /* inputA pointer */ + q15_t *pIn2; /* inputB pointer */ + q15_t *pOut = pDst; /* output pointer */ + q31_t sum, acc0, acc1, acc2, acc3; /* Accumulator */ + q15_t *px; /* Intermediate inputA pointer */ + q15_t *py; /* Intermediate inputB pointer */ + q15_t *pSrc1, *pSrc2; /* Intermediate pointers */ + q31_t x0, x1, x2, x3, c0; + uint32_t j, k, count, check, blkCnt; + int32_t blockSize1, blockSize2, blockSize3; /* loop counters */ + arm_status status; /* status of Partial convolution */ + q15_t a, b; + + /* Check for range of output samples to be calculated */ + if ((firstIndex + numPoints) > ((srcALen + (srcBLen - 1U)))) + { + /* Set status as ARM_MATH_ARGUMENT_ERROR */ + status = ARM_MATH_ARGUMENT_ERROR; + } + else + { + + /* The algorithm implementation is based on the lengths of the inputs. */ + /* srcB is always made to slide across srcA. */ + /* So srcBLen is always considered as shorter or equal to srcALen */ + if (srcALen >=srcBLen) + { + /* Initialization of inputA pointer */ + pIn1 = pSrcA; + + /* Initialization of inputB pointer */ + pIn2 = pSrcB; + } + else + { + /* Initialization of inputA pointer */ + pIn1 = pSrcB; + + /* Initialization of inputB pointer */ + pIn2 = pSrcA; + + /* srcBLen is always considered as shorter or equal to srcALen */ + j = srcBLen; + srcBLen = srcALen; + srcALen = j; + } + + /* Conditions to check which loopCounter holds + * the first and last indices of the output samples to be calculated. */ + check = firstIndex + numPoints; + blockSize3 = ((int32_t)check > (int32_t)srcALen) ? (int32_t)check - (int32_t)srcALen : 0; + blockSize3 = ((int32_t)firstIndex > (int32_t)srcALen - 1) ? blockSize3 - (int32_t)firstIndex + (int32_t)srcALen : blockSize3; + blockSize1 = ((int32_t) srcBLen - 1) - (int32_t) firstIndex; + blockSize1 = (blockSize1 > 0) ? ((check > (srcBLen - 1U)) ? blockSize1 : + (int32_t) numPoints) : 0; + blockSize2 = ((int32_t) check - blockSize3) - + (blockSize1 + (int32_t) firstIndex); + blockSize2 = (blockSize2 > 0) ? blockSize2 : 0; + + /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */ + /* The function is internally + * divided into three stages according to the number of multiplications that has to be + * taken place between inputA samples and inputB samples. In the first stage of the + * algorithm, the multiplications increase by one for every iteration. + * In the second stage of the algorithm, srcBLen number of multiplications are done. + * In the third stage of the algorithm, the multiplications decrease by one + * for every iteration. */ + + /* Set the output pointer to point to the firstIndex + * of the output sample to be calculated. */ + pOut = pDst + firstIndex; + + /* -------------------------- + * Initializations of stage1 + * -------------------------*/ + + /* sum = x[0] * y[0] + * sum = x[0] * y[1] + x[1] * y[0] + * .... + * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0] + */ + + /* In this stage the MAC operations are increased by 1 for every iteration. + The count variable holds the number of MAC operations performed. + Since the partial convolution starts from firstIndex + Number of Macs to be performed is firstIndex + 1 */ + count = 1U + firstIndex; + + /* Working pointer of inputA */ + px = pIn1; + + /* Working pointer of inputB */ + pSrc2 = pIn2 + firstIndex; + py = pSrc2; + + /* ------------------------ + * Stage1 process + * ----------------------*/ + + /* For loop unrolling by 4, this stage is divided into two. */ + /* First part of this stage computes the MAC operations less than 4 */ + /* Second part of this stage computes the MAC operations greater than or equal to 4 */ + + /* The first part of the stage starts here */ + while ((count < 4U) && (blockSize1 > 0)) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Loop over number of MAC operations between + * inputA samples and inputB samples */ + k = count; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum += ((q31_t) * px++ * *py--); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q15_t) (sum >> 15); + + /* Update the inputA and inputB pointers for next MAC calculation */ + py = ++pSrc2; + px = pIn1; + + /* Increment the MAC count */ + count++; + + /* Decrement the loop counter */ + blockSize1--; + } + + /* The second part of the stage starts here */ + /* The internal loop, over count, is unrolled by 4 */ + /* To, read the last two inputB samples using SIMD: + * y[srcBLen] and y[srcBLen-1] coefficients, py is decremented by 1 */ + py = py - 1; + + while (blockSize1 > 0) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = count >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + py++; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum += ((q31_t) * px++ * *py--); + sum += ((q31_t) * px++ * *py--); + sum += ((q31_t) * px++ * *py--); + sum += ((q31_t) * px++ * *py--); + + /* Decrement the loop counter */ + k--; + } + + /* If the count is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = count % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum += ((q31_t) * px++ * *py--); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q15_t) (sum >> 15); + + /* Update the inputA and inputB pointers for next MAC calculation */ + py = ++pSrc2 - 1U; + px = pIn1; + + /* Increment the MAC count */ + count++; + + /* Decrement the loop counter */ + blockSize1--; + } + + /* -------------------------- + * Initializations of stage2 + * ------------------------*/ + + /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0] + * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0] + * .... + * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0] + */ + + /* Working pointer of inputA */ + if ((int32_t)firstIndex - (int32_t)srcBLen + 1 > 0) + { + px = pIn1 + firstIndex - srcBLen + 1; + } + else + { + px = pIn1; + } + + /* Working pointer of inputB */ + pSrc2 = pIn2 + (srcBLen - 1U); + py = pSrc2; + + /* count is the index by which the pointer pIn1 to be incremented */ + count = 0U; + + + /* -------------------- + * Stage2 process + * -------------------*/ + + /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed. + * So, to loop unroll over blockSize2, + * srcBLen should be greater than or equal to 4 */ + if (srcBLen >= 4U) + { + /* Loop unroll over blockSize2, by 4 */ + blkCnt = ((uint32_t) blockSize2 >> 2U); + + while (blkCnt > 0U) + { + py = py - 1U; + + /* Set all accumulators to zero */ + acc0 = 0; + acc1 = 0; + acc2 = 0; + acc3 = 0; + + /* read x[0], x[1] samples */ + a = *px++; + b = *px++; + +#ifndef ARM_MATH_BIG_ENDIAN + + x0 = __PKHBT(a, b, 16); + a = *px; + x1 = __PKHBT(b, a, 16); + +#else + + x0 = __PKHBT(b, a, 16); + a = *px; + x1 = __PKHBT(a, b, 16); + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = srcBLen >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + do + { + /* Read the last two inputB samples using SIMD: + * y[srcBLen - 1] and y[srcBLen - 2] */ + a = *py; + b = *(py+1); + py -= 2; + +#ifndef ARM_MATH_BIG_ENDIAN + + c0 = __PKHBT(a, b, 16); + +#else + + c0 = __PKHBT(b, a, 16);; + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* acc0 += x[0] * y[srcBLen - 1] + x[1] * y[srcBLen - 2] */ + acc0 = __SMLADX(x0, c0, acc0); + + /* acc1 += x[1] * y[srcBLen - 1] + x[2] * y[srcBLen - 2] */ + acc1 = __SMLADX(x1, c0, acc1); + + a = *px; + b = *(px + 1); + +#ifndef ARM_MATH_BIG_ENDIAN + + x2 = __PKHBT(a, b, 16); + a = *(px + 2); + x3 = __PKHBT(b, a, 16); + +#else + + x2 = __PKHBT(b, a, 16); + a = *(px + 2); + x3 = __PKHBT(a, b, 16); + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* acc2 += x[2] * y[srcBLen - 1] + x[3] * y[srcBLen - 2] */ + acc2 = __SMLADX(x2, c0, acc2); + + /* acc3 += x[3] * y[srcBLen - 1] + x[4] * y[srcBLen - 2] */ + acc3 = __SMLADX(x3, c0, acc3); + + /* Read y[srcBLen - 3] and y[srcBLen - 4] */ + a = *py; + b = *(py+1); + py -= 2; + +#ifndef ARM_MATH_BIG_ENDIAN + + c0 = __PKHBT(a, b, 16); + +#else + + c0 = __PKHBT(b, a, 16);; + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* acc0 += x[2] * y[srcBLen - 3] + x[3] * y[srcBLen - 4] */ + acc0 = __SMLADX(x2, c0, acc0); + + /* acc1 += x[3] * y[srcBLen - 3] + x[4] * y[srcBLen - 4] */ + acc1 = __SMLADX(x3, c0, acc1); + + /* Read x[4], x[5], x[6] */ + a = *(px + 2); + b = *(px + 3); + +#ifndef ARM_MATH_BIG_ENDIAN + + x0 = __PKHBT(a, b, 16); + a = *(px + 4); + x1 = __PKHBT(b, a, 16); + +#else + + x0 = __PKHBT(b, a, 16); + a = *(px + 4); + x1 = __PKHBT(a, b, 16); + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + px += 4U; + + /* acc2 += x[4] * y[srcBLen - 3] + x[5] * y[srcBLen - 4] */ + acc2 = __SMLADX(x0, c0, acc2); + + /* acc3 += x[5] * y[srcBLen - 3] + x[6] * y[srcBLen - 4] */ + acc3 = __SMLADX(x1, c0, acc3); + + } while (--k); + + /* For the next MAC operations, SIMD is not used + * So, the 16 bit pointer if inputB, py is updated */ + + /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = srcBLen % 0x4U; + + if (k == 1U) + { + /* Read y[srcBLen - 5] */ + c0 = *(py+1); + +#ifdef ARM_MATH_BIG_ENDIAN + + c0 = c0 << 16U; + +#else + + c0 = c0 & 0x0000FFFF; + +#endif /* #ifdef ARM_MATH_BIG_ENDIAN */ + + /* Read x[7] */ + a = *px; + b = *(px+1); + px++; + +#ifndef ARM_MATH_BIG_ENDIAN + + x3 = __PKHBT(a, b, 16); + +#else + + x3 = __PKHBT(b, a, 16);; + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + + /* Perform the multiply-accumulates */ + acc0 = __SMLAD(x0, c0, acc0); + acc1 = __SMLAD(x1, c0, acc1); + acc2 = __SMLADX(x1, c0, acc2); + acc3 = __SMLADX(x3, c0, acc3); + } + + if (k == 2U) + { + /* Read y[srcBLen - 5], y[srcBLen - 6] */ + a = *py; + b = *(py+1); + +#ifndef ARM_MATH_BIG_ENDIAN + + c0 = __PKHBT(a, b, 16); + +#else + + c0 = __PKHBT(b, a, 16);; + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* Read x[7], x[8], x[9] */ + a = *px; + b = *(px + 1); + +#ifndef ARM_MATH_BIG_ENDIAN + + x3 = __PKHBT(a, b, 16); + a = *(px + 2); + x2 = __PKHBT(b, a, 16); + +#else + + x3 = __PKHBT(b, a, 16); + a = *(px + 2); + x2 = __PKHBT(a, b, 16); + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + px += 2U; + + /* Perform the multiply-accumulates */ + acc0 = __SMLADX(x0, c0, acc0); + acc1 = __SMLADX(x1, c0, acc1); + acc2 = __SMLADX(x3, c0, acc2); + acc3 = __SMLADX(x2, c0, acc3); + } + + if (k == 3U) + { + /* Read y[srcBLen - 5], y[srcBLen - 6] */ + a = *py; + b = *(py+1); + +#ifndef ARM_MATH_BIG_ENDIAN + + c0 = __PKHBT(a, b, 16); + +#else + + c0 = __PKHBT(b, a, 16);; + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* Read x[7], x[8], x[9] */ + a = *px; + b = *(px + 1); + +#ifndef ARM_MATH_BIG_ENDIAN + + x3 = __PKHBT(a, b, 16); + a = *(px + 2); + x2 = __PKHBT(b, a, 16); + +#else + + x3 = __PKHBT(b, a, 16); + a = *(px + 2); + x2 = __PKHBT(a, b, 16); + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* Perform the multiply-accumulates */ + acc0 = __SMLADX(x0, c0, acc0); + acc1 = __SMLADX(x1, c0, acc1); + acc2 = __SMLADX(x3, c0, acc2); + acc3 = __SMLADX(x2, c0, acc3); + + /* Read y[srcBLen - 7] */ + c0 = *(py-1); +#ifdef ARM_MATH_BIG_ENDIAN + + c0 = c0 << 16U; +#else + + c0 = c0 & 0x0000FFFF; +#endif /* #ifdef ARM_MATH_BIG_ENDIAN */ + + /* Read x[10] */ + a = *(px+2); + b = *(px+3); + +#ifndef ARM_MATH_BIG_ENDIAN + + x3 = __PKHBT(a, b, 16); + +#else + + x3 = __PKHBT(b, a, 16);; + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + px += 3U; + + /* Perform the multiply-accumulates */ + acc0 = __SMLADX(x1, c0, acc0); + acc1 = __SMLAD(x2, c0, acc1); + acc2 = __SMLADX(x2, c0, acc2); + acc3 = __SMLADX(x3, c0, acc3); + } + + /* Store the results in the accumulators in the destination buffer. */ + *pOut++ = (q15_t)(acc0 >> 15); + *pOut++ = (q15_t)(acc1 >> 15); + *pOut++ = (q15_t)(acc2 >> 15); + *pOut++ = (q15_t)(acc3 >> 15); + + /* Increment the pointer pIn1 index, count by 4 */ + count += 4U; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pSrc2; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = (uint32_t) blockSize2 % 0x4U; + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = srcBLen >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum += ((q31_t) * px++ * *py--); + sum += ((q31_t) * px++ * *py--); + sum += ((q31_t) * px++ * *py--); + sum += ((q31_t) * px++ * *py--); + + /* Decrement the loop counter */ + k--; + } + + /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = srcBLen % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum += ((q31_t) * px++ * *py--); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q15_t) (sum >> 15); + + /* Increment the pointer pIn1 index, count by 1 */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pSrc2; + + /* Decrement the loop counter */ + blkCnt--; + } + } + else + { + /* If the srcBLen is not a multiple of 4, + * the blockSize2 loop cannot be unrolled by 4 */ + blkCnt = (uint32_t) blockSize2; + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* srcBLen number of MACS should be performed */ + k = srcBLen; + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum += ((q31_t) * px++ * *py--); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q15_t) (sum >> 15); + + /* Increment the MAC count */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pSrc2; + + /* Decrement the loop counter */ + blkCnt--; + } + } + + + /* -------------------------- + * Initializations of stage3 + * -------------------------*/ + + /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1] + * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2] + * .... + * sum += x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2] + * sum += x[srcALen-1] * y[srcBLen-1] + */ + + /* In this stage the MAC operations are decreased by 1 for every iteration. + The count variable holds the number of MAC operations performed */ + count = srcBLen - 1U; + + /* Working pointer of inputA */ + pSrc1 = (pIn1 + srcALen) - (srcBLen - 1U); + px = pSrc1; + + /* Working pointer of inputB */ + pSrc2 = pIn2 + (srcBLen - 1U); + pIn2 = pSrc2 - 1U; + py = pIn2; + + /* ------------------- + * Stage3 process + * ------------------*/ + + /* For loop unrolling by 4, this stage is divided into two. */ + /* First part of this stage computes the MAC operations greater than 4 */ + /* Second part of this stage computes the MAC operations less than or equal to 4 */ + + /* The first part of the stage starts here */ + j = count >> 2U; + + while ((j > 0U) && (blockSize3 > 0)) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = count >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + py++; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum += ((q31_t) * px++ * *py--); + sum += ((q31_t) * px++ * *py--); + sum += ((q31_t) * px++ * *py--); + sum += ((q31_t) * px++ * *py--); + /* Decrement the loop counter */ + k--; + } + + + /* If the count is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = count % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum += ((q31_t) * px++ * *py--); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q15_t) (sum >> 15); + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = ++pSrc1; + py = pIn2; + + /* Decrement the MAC count */ + count--; + + /* Decrement the loop counter */ + blockSize3--; + + j--; + } + + /* The second part of the stage starts here */ + /* SIMD is not used for the next MAC operations, + * so pointer py is updated to read only one sample at a time */ + py = py + 1U; + + while (blockSize3 > 0) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = count; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + /* sum += x[srcALen-1] * y[srcBLen-1] */ + sum += ((q31_t) * px++ * *py--); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q15_t) (sum >> 15); + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = ++pSrc1; + py = pSrc2; + + /* Decrement the MAC count */ + count--; + + /* Decrement the loop counter */ + blockSize3--; + } + + /* set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + } + + /* Return to application */ + return (status); + +#endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */ +} + +/** + * @} end of PartialConv group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_fast_q31.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_fast_q31.c new file mode 100644 index 0000000..e845947 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_fast_q31.c @@ -0,0 +1,620 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_conv_partial_fast_q31.c + * Description: Fast Q31 Partial convolution + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupFilters + */ + +/** + * @addtogroup PartialConv + * @{ + */ + +/** + * @brief Partial convolution of Q31 sequences (fast version) for Cortex-M3 and Cortex-M4. + * @param[in] *pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] *pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] *pDst points to the location where the output result is written. + * @param[in] firstIndex is the first output sample to start with. + * @param[in] numPoints is the number of output points to be computed. + * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2]. + * + * \par + * See arm_conv_partial_q31() for a slower implementation of this function which uses a 64-bit accumulator to provide higher precision. + */ + +arm_status arm_conv_partial_fast_q31( + q31_t * pSrcA, + uint32_t srcALen, + q31_t * pSrcB, + uint32_t srcBLen, + q31_t * pDst, + uint32_t firstIndex, + uint32_t numPoints) +{ + q31_t *pIn1; /* inputA pointer */ + q31_t *pIn2; /* inputB pointer */ + q31_t *pOut = pDst; /* output pointer */ + q31_t *px; /* Intermediate inputA pointer */ + q31_t *py; /* Intermediate inputB pointer */ + q31_t *pSrc1, *pSrc2; /* Intermediate pointers */ + q31_t sum, acc0, acc1, acc2, acc3; /* Accumulators */ + q31_t x0, x1, x2, x3, c0; + uint32_t j, k, count, check, blkCnt; + int32_t blockSize1, blockSize2, blockSize3; /* loop counters */ + arm_status status; /* status of Partial convolution */ + + + /* Check for range of output samples to be calculated */ + if ((firstIndex + numPoints) > ((srcALen + (srcBLen - 1U)))) + { + /* Set status as ARM_MATH_ARGUMENT_ERROR */ + status = ARM_MATH_ARGUMENT_ERROR; + } + else + { + + /* The algorithm implementation is based on the lengths of the inputs. */ + /* srcB is always made to slide across srcA. */ + /* So srcBLen is always considered as shorter or equal to srcALen */ + if (srcALen >= srcBLen) + { + /* Initialization of inputA pointer */ + pIn1 = pSrcA; + + /* Initialization of inputB pointer */ + pIn2 = pSrcB; + } + else + { + /* Initialization of inputA pointer */ + pIn1 = pSrcB; + + /* Initialization of inputB pointer */ + pIn2 = pSrcA; + + /* srcBLen is always considered as shorter or equal to srcALen */ + j = srcBLen; + srcBLen = srcALen; + srcALen = j; + } + + /* Conditions to check which loopCounter holds + * the first and last indices of the output samples to be calculated. */ + check = firstIndex + numPoints; + blockSize3 = ((int32_t)check > (int32_t)srcALen) ? (int32_t)check - (int32_t)srcALen : 0; + blockSize3 = ((int32_t)firstIndex > (int32_t)srcALen - 1) ? blockSize3 - (int32_t)firstIndex + (int32_t)srcALen : blockSize3; + blockSize1 = (((int32_t) srcBLen - 1) - (int32_t) firstIndex); + blockSize1 = (blockSize1 > 0) ? ((check > (srcBLen - 1U)) ? blockSize1 : + (int32_t) numPoints) : 0; + blockSize2 = (int32_t) check - ((blockSize3 + blockSize1) + + (int32_t) firstIndex); + blockSize2 = (blockSize2 > 0) ? blockSize2 : 0; + + /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */ + /* The function is internally + * divided into three stages according to the number of multiplications that has to be + * taken place between inputA samples and inputB samples. In the first stage of the + * algorithm, the multiplications increase by one for every iteration. + * In the second stage of the algorithm, srcBLen number of multiplications are done. + * In the third stage of the algorithm, the multiplications decrease by one + * for every iteration. */ + + /* Set the output pointer to point to the firstIndex + * of the output sample to be calculated. */ + pOut = pDst + firstIndex; + + /* -------------------------- + * Initializations of stage1 + * -------------------------*/ + + /* sum = x[0] * y[0] + * sum = x[0] * y[1] + x[1] * y[0] + * .... + * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0] + */ + + /* In this stage the MAC operations are increased by 1 for every iteration. + The count variable holds the number of MAC operations performed. + Since the partial convolution starts from firstIndex + Number of Macs to be performed is firstIndex + 1 */ + count = 1U + firstIndex; + + /* Working pointer of inputA */ + px = pIn1; + + /* Working pointer of inputB */ + pSrc2 = pIn2 + firstIndex; + py = pSrc2; + + /* ------------------------ + * Stage1 process + * ----------------------*/ + + /* The first loop starts here */ + while (blockSize1 > 0) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = count >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* x[0] * y[srcBLen - 1] */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) * px++ * (*py--))) >> 32); + + /* x[1] * y[srcBLen - 2] */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) * px++ * (*py--))) >> 32); + + /* x[2] * y[srcBLen - 3] */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) * px++ * (*py--))) >> 32); + + /* x[3] * y[srcBLen - 4] */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) * px++ * (*py--))) >> 32); + + /* Decrement the loop counter */ + k--; + } + + /* If the count is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = count % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) * px++ * (*py--))) >> 32); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = sum << 1; + + /* Update the inputA and inputB pointers for next MAC calculation */ + py = ++pSrc2; + px = pIn1; + + /* Increment the MAC count */ + count++; + + /* Decrement the loop counter */ + blockSize1--; + } + + /* -------------------------- + * Initializations of stage2 + * ------------------------*/ + + /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0] + * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0] + * .... + * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0] + */ + + /* Working pointer of inputA */ + if ((int32_t)firstIndex - (int32_t)srcBLen + 1 > 0) + { + px = pIn1 + firstIndex - srcBLen + 1; + } + else + { + px = pIn1; + } + + /* Working pointer of inputB */ + pSrc2 = pIn2 + (srcBLen - 1U); + py = pSrc2; + + /* count is index by which the pointer pIn1 to be incremented */ + count = 0U; + + /* ------------------- + * Stage2 process + * ------------------*/ + + /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed. + * So, to loop unroll over blockSize2, + * srcBLen should be greater than or equal to 4 */ + if (srcBLen >= 4U) + { + /* Loop unroll over blockSize2 */ + blkCnt = ((uint32_t) blockSize2 >> 2U); + + while (blkCnt > 0U) + { + /* Set all accumulators to zero */ + acc0 = 0; + acc1 = 0; + acc2 = 0; + acc3 = 0; + + /* read x[0], x[1], x[2] samples */ + x0 = *(px++); + x1 = *(px++); + x2 = *(px++); + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = srcBLen >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + do + { + /* Read y[srcBLen - 1] sample */ + c0 = *(py--); + + /* Read x[3] sample */ + x3 = *(px++); + + /* Perform the multiply-accumulate */ + /* acc0 += x[0] * y[srcBLen - 1] */ + acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32); + + /* acc1 += x[1] * y[srcBLen - 1] */ + acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32); + + /* acc2 += x[2] * y[srcBLen - 1] */ + acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x2 * c0)) >> 32); + + /* acc3 += x[3] * y[srcBLen - 1] */ + acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x3 * c0)) >> 32); + + /* Read y[srcBLen - 2] sample */ + c0 = *(py--); + + /* Read x[4] sample */ + x0 = *(px++); + + /* Perform the multiply-accumulate */ + /* acc0 += x[1] * y[srcBLen - 2] */ + acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x1 * c0)) >> 32); + /* acc1 += x[2] * y[srcBLen - 2] */ + acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x2 * c0)) >> 32); + /* acc2 += x[3] * y[srcBLen - 2] */ + acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x3 * c0)) >> 32); + /* acc3 += x[4] * y[srcBLen - 2] */ + acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x0 * c0)) >> 32); + + /* Read y[srcBLen - 3] sample */ + c0 = *(py--); + + /* Read x[5] sample */ + x1 = *(px++); + + /* Perform the multiply-accumulates */ + /* acc0 += x[2] * y[srcBLen - 3] */ + acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x2 * c0)) >> 32); + /* acc1 += x[3] * y[srcBLen - 2] */ + acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x3 * c0)) >> 32); + /* acc2 += x[4] * y[srcBLen - 2] */ + acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x0 * c0)) >> 32); + /* acc3 += x[5] * y[srcBLen - 2] */ + acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x1 * c0)) >> 32); + + /* Read y[srcBLen - 4] sample */ + c0 = *(py--); + + /* Read x[6] sample */ + x2 = *(px++); + + /* Perform the multiply-accumulates */ + /* acc0 += x[3] * y[srcBLen - 4] */ + acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x3 * c0)) >> 32); + /* acc1 += x[4] * y[srcBLen - 4] */ + acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x0 * c0)) >> 32); + /* acc2 += x[5] * y[srcBLen - 4] */ + acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x1 * c0)) >> 32); + /* acc3 += x[6] * y[srcBLen - 4] */ + acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x2 * c0)) >> 32); + + + } while (--k); + + /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = srcBLen % 0x4U; + + while (k > 0U) + { + /* Read y[srcBLen - 5] sample */ + c0 = *(py--); + + /* Read x[7] sample */ + x3 = *(px++); + + /* Perform the multiply-accumulates */ + /* acc0 += x[4] * y[srcBLen - 5] */ + acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32); + /* acc1 += x[5] * y[srcBLen - 5] */ + acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32); + /* acc2 += x[6] * y[srcBLen - 5] */ + acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x2 * c0)) >> 32); + /* acc3 += x[7] * y[srcBLen - 5] */ + acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x3 * c0)) >> 32); + + /* Reuse the present samples for the next MAC */ + x0 = x1; + x1 = x2; + x2 = x3; + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q31_t) (acc0 << 1); + *pOut++ = (q31_t) (acc1 << 1); + *pOut++ = (q31_t) (acc2 << 1); + *pOut++ = (q31_t) (acc3 << 1); + + /* Increment the pointer pIn1 index, count by 4 */ + count += 4U; + + /* Update the inputA and inputB pointers for next MAC calculation */ + if ((int32_t)firstIndex - (int32_t)srcBLen + 1 > 0) + { + px = pIn1 + firstIndex - srcBLen + 1 + count; + } + else + { + px = pIn1 + count; + } + py = pSrc2; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = (uint32_t) blockSize2 % 0x4U; + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = srcBLen >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) * px++ * (*py--))) >> 32); + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) * px++ * (*py--))) >> 32); + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) * px++ * (*py--))) >> 32); + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) * px++ * (*py--))) >> 32); + + /* Decrement the loop counter */ + k--; + } + + /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = srcBLen % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) * px++ * (*py--))) >> 32); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = sum << 1; + + /* Increment the MAC count */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + if ((int32_t)firstIndex - (int32_t)srcBLen + 1 > 0) + { + px = pIn1 + firstIndex - srcBLen + 1 + count; + } + else + { + px = pIn1 + count; + } + py = pSrc2; + + /* Decrement the loop counter */ + blkCnt--; + } + } + else + { + /* If the srcBLen is not a multiple of 4, + * the blockSize2 loop cannot be unrolled by 4 */ + blkCnt = (uint32_t) blockSize2; + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* srcBLen number of MACS should be performed */ + k = srcBLen; + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) * px++ * (*py--))) >> 32); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = sum << 1; + + /* Increment the MAC count */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + if ((int32_t)firstIndex - (int32_t)srcBLen + 1 > 0) + { + px = pIn1 + firstIndex - srcBLen + 1 + count; + } + else + { + px = pIn1 + count; + } + py = pSrc2; + + /* Decrement the loop counter */ + blkCnt--; + } + } + + + /* -------------------------- + * Initializations of stage3 + * -------------------------*/ + + /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1] + * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2] + * .... + * sum += x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2] + * sum += x[srcALen-1] * y[srcBLen-1] + */ + + /* In this stage the MAC operations are decreased by 1 for every iteration. + The count variable holds the number of MAC operations performed */ + count = srcBLen - 1U; + + /* Working pointer of inputA */ + pSrc1 = (pIn1 + srcALen) - (srcBLen - 1U); + px = pSrc1; + + /* Working pointer of inputB */ + pSrc2 = pIn2 + (srcBLen - 1U); + py = pSrc2; + + /* ------------------- + * Stage3 process + * ------------------*/ + + while (blockSize3 > 0) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = count >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* sum += x[srcALen - srcBLen + 1] * y[srcBLen - 1] */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) * px++ * (*py--))) >> 32); + + /* sum += x[srcALen - srcBLen + 2] * y[srcBLen - 2] */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) * px++ * (*py--))) >> 32); + + /* sum += x[srcALen - srcBLen + 3] * y[srcBLen - 3] */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) * px++ * (*py--))) >> 32); + + /* sum += x[srcALen - srcBLen + 4] * y[srcBLen - 4] */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) * px++ * (*py--))) >> 32); + + /* Decrement the loop counter */ + k--; + } + + /* If the count is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = count % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + /* sum += x[srcALen-1] * y[srcBLen-1] */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) * px++ * (*py--))) >> 32); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = sum << 1; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = ++pSrc1; + py = pSrc2; + + /* Decrement the MAC count */ + count--; + + /* Decrement the loop counter */ + blockSize3--; + + } + + /* set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + } + + /* Return to application */ + return (status); + +} + +/** + * @} end of PartialConv group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_opt_q15.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_opt_q15.c new file mode 100644 index 0000000..78dd548 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_opt_q15.c @@ -0,0 +1,753 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_conv_partial_opt_q15.c + * Description: Partial convolution of Q15 sequences + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupFilters + */ + +/** + * @addtogroup PartialConv + * @{ + */ + +/** + * @brief Partial convolution of Q15 sequences. + * @param[in] *pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] *pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] *pDst points to the location where the output result is written. + * @param[in] firstIndex is the first output sample to start with. + * @param[in] numPoints is the number of output points to be computed. + * @param[in] *pScratch1 points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2. + * @param[in] *pScratch2 points to scratch buffer of size min(srcALen, srcBLen). + * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2]. + * + * \par Restrictions + * If the silicon does not support unaligned memory access enable the macro UNALIGNED_SUPPORT_DISABLE + * In this case input, output, state buffers should be aligned by 32-bit + * + * Refer to arm_conv_partial_fast_q15() for a faster but less precise version of this function for Cortex-M3 and Cortex-M4. + * + * + */ + +#ifndef UNALIGNED_SUPPORT_DISABLE + +arm_status arm_conv_partial_opt_q15( + q15_t * pSrcA, + uint32_t srcALen, + q15_t * pSrcB, + uint32_t srcBLen, + q15_t * pDst, + uint32_t firstIndex, + uint32_t numPoints, + q15_t * pScratch1, + q15_t * pScratch2) +{ + + q15_t *pOut = pDst; /* output pointer */ + q15_t *pScr1 = pScratch1; /* Temporary pointer for scratch1 */ + q15_t *pScr2 = pScratch2; /* Temporary pointer for scratch1 */ + q63_t acc0, acc1, acc2, acc3; /* Accumulator */ + q31_t x1, x2, x3; /* Temporary variables to hold state and coefficient values */ + q31_t y1, y2; /* State variables */ + q15_t *pIn1; /* inputA pointer */ + q15_t *pIn2; /* inputB pointer */ + q15_t *px; /* Intermediate inputA pointer */ + q15_t *py; /* Intermediate inputB pointer */ + uint32_t j, k, blkCnt; /* loop counter */ + arm_status status; /* Status variable */ + uint32_t tapCnt; /* loop count */ + + /* Check for range of output samples to be calculated */ + if ((firstIndex + numPoints) > ((srcALen + (srcBLen - 1U)))) + { + /* Set status as ARM_MATH_ARGUMENT_ERROR */ + status = ARM_MATH_ARGUMENT_ERROR; + } + else + { + + /* The algorithm implementation is based on the lengths of the inputs. */ + /* srcB is always made to slide across srcA. */ + /* So srcBLen is always considered as shorter or equal to srcALen */ + if (srcALen >= srcBLen) + { + /* Initialization of inputA pointer */ + pIn1 = pSrcA; + + /* Initialization of inputB pointer */ + pIn2 = pSrcB; + } + else + { + /* Initialization of inputA pointer */ + pIn1 = pSrcB; + + /* Initialization of inputB pointer */ + pIn2 = pSrcA; + + /* srcBLen is always considered as shorter or equal to srcALen */ + j = srcBLen; + srcBLen = srcALen; + srcALen = j; + } + + /* Temporary pointer for scratch2 */ + py = pScratch2; + + /* pointer to take end of scratch2 buffer */ + pScr2 = pScratch2 + srcBLen - 1; + + /* points to smaller length sequence */ + px = pIn2; + + /* Apply loop unrolling and do 4 Copies simultaneously. */ + k = srcBLen >> 2U; + + /* First part of the processing with loop unrolling copies 4 data points at a time. + ** a second loop below copies for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* copy second buffer in reversal manner */ + *pScr2-- = *px++; + *pScr2-- = *px++; + *pScr2-- = *px++; + *pScr2-- = *px++; + + /* Decrement the loop counter */ + k--; + } + + /* If the count is not a multiple of 4, copy remaining samples here. + ** No loop unrolling is used. */ + k = srcBLen % 0x4U; + + while (k > 0U) + { + /* copy second buffer in reversal manner for remaining samples */ + *pScr2-- = *px++; + + /* Decrement the loop counter */ + k--; + } + + /* Initialze temporary scratch pointer */ + pScr1 = pScratch1; + + /* Fill (srcBLen - 1U) zeros in scratch buffer */ + arm_fill_q15(0, pScr1, (srcBLen - 1U)); + + /* Update temporary scratch pointer */ + pScr1 += (srcBLen - 1U); + + /* Copy bigger length sequence(srcALen) samples in scratch1 buffer */ + + /* Copy (srcALen) samples in scratch buffer */ + arm_copy_q15(pIn1, pScr1, srcALen); + + /* Update pointers */ + pScr1 += srcALen; + + /* Fill (srcBLen - 1U) zeros at end of scratch buffer */ + arm_fill_q15(0, pScr1, (srcBLen - 1U)); + + /* Update pointer */ + pScr1 += (srcBLen - 1U); + + /* Initialization of pIn2 pointer */ + pIn2 = py; + + pScratch1 += firstIndex; + + pOut = pDst + firstIndex; + + /* Actual convolution process starts here */ + blkCnt = (numPoints) >> 2; + + while (blkCnt > 0) + { + /* Initialze temporary scratch pointer as scratch1 */ + pScr1 = pScratch1; + + /* Clear Accumlators */ + acc0 = 0; + acc1 = 0; + acc2 = 0; + acc3 = 0; + + /* Read two samples from scratch1 buffer */ + x1 = *__SIMD32(pScr1)++; + + /* Read next two samples from scratch1 buffer */ + x2 = *__SIMD32(pScr1)++; + + tapCnt = (srcBLen) >> 2U; + + while (tapCnt > 0U) + { + + /* Read four samples from smaller buffer */ + y1 = _SIMD32_OFFSET(pIn2); + y2 = _SIMD32_OFFSET(pIn2 + 2U); + + /* multiply and accumlate */ + acc0 = __SMLALD(x1, y1, acc0); + acc2 = __SMLALD(x2, y1, acc2); + + /* pack input data */ +#ifndef ARM_MATH_BIG_ENDIAN + x3 = __PKHBT(x2, x1, 0); +#else + x3 = __PKHBT(x1, x2, 0); +#endif + + /* multiply and accumlate */ + acc1 = __SMLALDX(x3, y1, acc1); + + /* Read next two samples from scratch1 buffer */ + x1 = _SIMD32_OFFSET(pScr1); + + /* multiply and accumlate */ + acc0 = __SMLALD(x2, y2, acc0); + acc2 = __SMLALD(x1, y2, acc2); + + /* pack input data */ +#ifndef ARM_MATH_BIG_ENDIAN + x3 = __PKHBT(x1, x2, 0); +#else + x3 = __PKHBT(x2, x1, 0); +#endif + + acc3 = __SMLALDX(x3, y1, acc3); + acc1 = __SMLALDX(x3, y2, acc1); + + x2 = _SIMD32_OFFSET(pScr1 + 2U); + +#ifndef ARM_MATH_BIG_ENDIAN + x3 = __PKHBT(x2, x1, 0); +#else + x3 = __PKHBT(x1, x2, 0); +#endif + + acc3 = __SMLALDX(x3, y2, acc3); + + /* update scratch pointers */ + pIn2 += 4U; + pScr1 += 4U; + + + /* Decrement the loop counter */ + tapCnt--; + } + + /* Update scratch pointer for remaining samples of smaller length sequence */ + pScr1 -= 4U; + + /* apply same above for remaining samples of smaller length sequence */ + tapCnt = (srcBLen) & 3U; + + while (tapCnt > 0U) + { + /* accumlate the results */ + acc0 += (*pScr1++ * *pIn2); + acc1 += (*pScr1++ * *pIn2); + acc2 += (*pScr1++ * *pIn2); + acc3 += (*pScr1++ * *pIn2++); + + pScr1 -= 3U; + + /* Decrement the loop counter */ + tapCnt--; + } + + blkCnt--; + + + /* Store the results in the accumulators in the destination buffer. */ + +#ifndef ARM_MATH_BIG_ENDIAN + + *__SIMD32(pOut)++ = + __PKHBT(__SSAT((acc0 >> 15), 16), __SSAT((acc1 >> 15), 16), 16); + *__SIMD32(pOut)++ = + __PKHBT(__SSAT((acc2 >> 15), 16), __SSAT((acc3 >> 15), 16), 16); + +#else + + *__SIMD32(pOut)++ = + __PKHBT(__SSAT((acc1 >> 15), 16), __SSAT((acc0 >> 15), 16), 16); + *__SIMD32(pOut)++ = + __PKHBT(__SSAT((acc3 >> 15), 16), __SSAT((acc2 >> 15), 16), 16); + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* Initialization of inputB pointer */ + pIn2 = py; + + pScratch1 += 4U; + + } + + + blkCnt = numPoints & 0x3; + + /* Calculate convolution for remaining samples of Bigger length sequence */ + while (blkCnt > 0) + { + /* Initialze temporary scratch pointer as scratch1 */ + pScr1 = pScratch1; + + /* Clear Accumlators */ + acc0 = 0; + + tapCnt = (srcBLen) >> 1U; + + while (tapCnt > 0U) + { + + /* Read next two samples from scratch1 buffer */ + x1 = *__SIMD32(pScr1)++; + + /* Read two samples from smaller buffer */ + y1 = *__SIMD32(pIn2)++; + + acc0 = __SMLALD(x1, y1, acc0); + + /* Decrement the loop counter */ + tapCnt--; + } + + tapCnt = (srcBLen) & 1U; + + /* apply same above for remaining samples of smaller length sequence */ + while (tapCnt > 0U) + { + + /* accumlate the results */ + acc0 += (*pScr1++ * *pIn2++); + + /* Decrement the loop counter */ + tapCnt--; + } + + blkCnt--; + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q15_t) (__SSAT((acc0 >> 15), 16)); + + /* Initialization of inputB pointer */ + pIn2 = py; + + pScratch1 += 1U; + + } + + /* set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + + } + + /* Return to application */ + return (status); +} + +#else + +arm_status arm_conv_partial_opt_q15( + q15_t * pSrcA, + uint32_t srcALen, + q15_t * pSrcB, + uint32_t srcBLen, + q15_t * pDst, + uint32_t firstIndex, + uint32_t numPoints, + q15_t * pScratch1, + q15_t * pScratch2) +{ + + q15_t *pOut = pDst; /* output pointer */ + q15_t *pScr1 = pScratch1; /* Temporary pointer for scratch1 */ + q15_t *pScr2 = pScratch2; /* Temporary pointer for scratch1 */ + q63_t acc0, acc1, acc2, acc3; /* Accumulator */ + q15_t *pIn1; /* inputA pointer */ + q15_t *pIn2; /* inputB pointer */ + q15_t *px; /* Intermediate inputA pointer */ + q15_t *py; /* Intermediate inputB pointer */ + uint32_t j, k, blkCnt; /* loop counter */ + arm_status status; /* Status variable */ + uint32_t tapCnt; /* loop count */ + q15_t x10, x11, x20, x21; /* Temporary variables to hold srcA buffer */ + q15_t y10, y11; /* Temporary variables to hold srcB buffer */ + + + /* Check for range of output samples to be calculated */ + if ((firstIndex + numPoints) > ((srcALen + (srcBLen - 1U)))) + { + /* Set status as ARM_MATH_ARGUMENT_ERROR */ + status = ARM_MATH_ARGUMENT_ERROR; + } + else + { + + /* The algorithm implementation is based on the lengths of the inputs. */ + /* srcB is always made to slide across srcA. */ + /* So srcBLen is always considered as shorter or equal to srcALen */ + if (srcALen >= srcBLen) + { + /* Initialization of inputA pointer */ + pIn1 = pSrcA; + + /* Initialization of inputB pointer */ + pIn2 = pSrcB; + } + else + { + /* Initialization of inputA pointer */ + pIn1 = pSrcB; + + /* Initialization of inputB pointer */ + pIn2 = pSrcA; + + /* srcBLen is always considered as shorter or equal to srcALen */ + j = srcBLen; + srcBLen = srcALen; + srcALen = j; + } + + /* Temporary pointer for scratch2 */ + py = pScratch2; + + /* pointer to take end of scratch2 buffer */ + pScr2 = pScratch2 + srcBLen - 1; + + /* points to smaller length sequence */ + px = pIn2; + + /* Apply loop unrolling and do 4 Copies simultaneously. */ + k = srcBLen >> 2U; + + /* First part of the processing with loop unrolling copies 4 data points at a time. + ** a second loop below copies for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* copy second buffer in reversal manner */ + *pScr2-- = *px++; + *pScr2-- = *px++; + *pScr2-- = *px++; + *pScr2-- = *px++; + + /* Decrement the loop counter */ + k--; + } + + /* If the count is not a multiple of 4, copy remaining samples here. + ** No loop unrolling is used. */ + k = srcBLen % 0x4U; + + while (k > 0U) + { + /* copy second buffer in reversal manner for remaining samples */ + *pScr2-- = *px++; + + /* Decrement the loop counter */ + k--; + } + + /* Initialze temporary scratch pointer */ + pScr1 = pScratch1; + + /* Fill (srcBLen - 1U) zeros in scratch buffer */ + arm_fill_q15(0, pScr1, (srcBLen - 1U)); + + /* Update temporary scratch pointer */ + pScr1 += (srcBLen - 1U); + + /* Copy bigger length sequence(srcALen) samples in scratch1 buffer */ + + + /* Apply loop unrolling and do 4 Copies simultaneously. */ + k = srcALen >> 2U; + + /* First part of the processing with loop unrolling copies 4 data points at a time. + ** a second loop below copies for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* copy second buffer in reversal manner */ + *pScr1++ = *pIn1++; + *pScr1++ = *pIn1++; + *pScr1++ = *pIn1++; + *pScr1++ = *pIn1++; + + /* Decrement the loop counter */ + k--; + } + + /* If the count is not a multiple of 4, copy remaining samples here. + ** No loop unrolling is used. */ + k = srcALen % 0x4U; + + while (k > 0U) + { + /* copy second buffer in reversal manner for remaining samples */ + *pScr1++ = *pIn1++; + + /* Decrement the loop counter */ + k--; + } + + + /* Apply loop unrolling and do 4 Copies simultaneously. */ + k = (srcBLen - 1U) >> 2U; + + /* First part of the processing with loop unrolling copies 4 data points at a time. + ** a second loop below copies for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* copy second buffer in reversal manner */ + *pScr1++ = 0; + *pScr1++ = 0; + *pScr1++ = 0; + *pScr1++ = 0; + + /* Decrement the loop counter */ + k--; + } + + /* If the count is not a multiple of 4, copy remaining samples here. + ** No loop unrolling is used. */ + k = (srcBLen - 1U) % 0x4U; + + while (k > 0U) + { + /* copy second buffer in reversal manner for remaining samples */ + *pScr1++ = 0; + + /* Decrement the loop counter */ + k--; + } + + + /* Initialization of pIn2 pointer */ + pIn2 = py; + + pScratch1 += firstIndex; + + pOut = pDst + firstIndex; + + /* Actual convolution process starts here */ + blkCnt = (numPoints) >> 2; + + while (blkCnt > 0) + { + /* Initialze temporary scratch pointer as scratch1 */ + pScr1 = pScratch1; + + /* Clear Accumlators */ + acc0 = 0; + acc1 = 0; + acc2 = 0; + acc3 = 0; + + /* Read two samples from scratch1 buffer */ + x10 = *pScr1++; + x11 = *pScr1++; + + /* Read next two samples from scratch1 buffer */ + x20 = *pScr1++; + x21 = *pScr1++; + + tapCnt = (srcBLen) >> 2U; + + while (tapCnt > 0U) + { + + /* Read two samples from smaller buffer */ + y10 = *pIn2; + y11 = *(pIn2 + 1U); + + /* multiply and accumlate */ + acc0 += (q63_t) x10 *y10; + acc0 += (q63_t) x11 *y11; + acc2 += (q63_t) x20 *y10; + acc2 += (q63_t) x21 *y11; + + /* multiply and accumlate */ + acc1 += (q63_t) x11 *y10; + acc1 += (q63_t) x20 *y11; + + /* Read next two samples from scratch1 buffer */ + x10 = *pScr1; + x11 = *(pScr1 + 1U); + + /* multiply and accumlate */ + acc3 += (q63_t) x21 *y10; + acc3 += (q63_t) x10 *y11; + + /* Read next two samples from scratch2 buffer */ + y10 = *(pIn2 + 2U); + y11 = *(pIn2 + 3U); + + /* multiply and accumlate */ + acc0 += (q63_t) x20 *y10; + acc0 += (q63_t) x21 *y11; + acc2 += (q63_t) x10 *y10; + acc2 += (q63_t) x11 *y11; + acc1 += (q63_t) x21 *y10; + acc1 += (q63_t) x10 *y11; + + /* Read next two samples from scratch1 buffer */ + x20 = *(pScr1 + 2); + x21 = *(pScr1 + 3); + + /* multiply and accumlate */ + acc3 += (q63_t) x11 *y10; + acc3 += (q63_t) x20 *y11; + + /* update scratch pointers */ + pIn2 += 4U; + pScr1 += 4U; + + /* Decrement the loop counter */ + tapCnt--; + } + + /* Update scratch pointer for remaining samples of smaller length sequence */ + pScr1 -= 4U; + + /* apply same above for remaining samples of smaller length sequence */ + tapCnt = (srcBLen) & 3U; + + while (tapCnt > 0U) + { + /* accumlate the results */ + acc0 += (*pScr1++ * *pIn2); + acc1 += (*pScr1++ * *pIn2); + acc2 += (*pScr1++ * *pIn2); + acc3 += (*pScr1++ * *pIn2++); + + pScr1 -= 3U; + + /* Decrement the loop counter */ + tapCnt--; + } + + blkCnt--; + + + /* Store the results in the accumulators in the destination buffer. */ + *pOut++ = __SSAT((acc0 >> 15), 16); + *pOut++ = __SSAT((acc1 >> 15), 16); + *pOut++ = __SSAT((acc2 >> 15), 16); + *pOut++ = __SSAT((acc3 >> 15), 16); + + + /* Initialization of inputB pointer */ + pIn2 = py; + + pScratch1 += 4U; + + } + + + blkCnt = numPoints & 0x3; + + /* Calculate convolution for remaining samples of Bigger length sequence */ + while (blkCnt > 0) + { + /* Initialze temporary scratch pointer as scratch1 */ + pScr1 = pScratch1; + + /* Clear Accumlators */ + acc0 = 0; + + tapCnt = (srcBLen) >> 1U; + + while (tapCnt > 0U) + { + + /* Read next two samples from scratch1 buffer */ + x10 = *pScr1++; + x11 = *pScr1++; + + /* Read two samples from smaller buffer */ + y10 = *pIn2++; + y11 = *pIn2++; + + /* multiply and accumlate */ + acc0 += (q63_t) x10 *y10; + acc0 += (q63_t) x11 *y11; + + /* Decrement the loop counter */ + tapCnt--; + } + + tapCnt = (srcBLen) & 1U; + + /* apply same above for remaining samples of smaller length sequence */ + while (tapCnt > 0U) + { + + /* accumlate the results */ + acc0 += (*pScr1++ * *pIn2++); + + /* Decrement the loop counter */ + tapCnt--; + } + + blkCnt--; + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q15_t) (__SSAT((acc0 >> 15), 16)); + + + /* Initialization of inputB pointer */ + pIn2 = py; + + pScratch1 += 1U; + + } + + /* set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + + } + + /* Return to application */ + return (status); +} + +#endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */ + + +/** + * @} end of PartialConv group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_opt_q7.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_opt_q7.c new file mode 100644 index 0000000..351c290 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_opt_q7.c @@ -0,0 +1,791 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_conv_partial_opt_q7.c + * Description: Partial convolution of Q7 sequences + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupFilters + */ + +/** + * @addtogroup PartialConv + * @{ + */ + +/** + * @brief Partial convolution of Q7 sequences. + * @param[in] *pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] *pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] *pDst points to the location where the output result is written. + * @param[in] firstIndex is the first output sample to start with. + * @param[in] numPoints is the number of output points to be computed. + * @param[in] *pScratch1 points to scratch buffer(of type q15_t) of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2. + * @param[in] *pScratch2 points to scratch buffer (of type q15_t) of size min(srcALen, srcBLen). + * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2]. + * + * \par Restrictions + * If the silicon does not support unaligned memory access enable the macro UNALIGNED_SUPPORT_DISABLE + * In this case input, output, scratch1 and scratch2 buffers should be aligned by 32-bit + * + * + * + */ + + +#ifndef UNALIGNED_SUPPORT_DISABLE + +arm_status arm_conv_partial_opt_q7( + q7_t * pSrcA, + uint32_t srcALen, + q7_t * pSrcB, + uint32_t srcBLen, + q7_t * pDst, + uint32_t firstIndex, + uint32_t numPoints, + q15_t * pScratch1, + q15_t * pScratch2) +{ + + q15_t *pScr2, *pScr1; /* Intermediate pointers for scratch pointers */ + q15_t x4; /* Temporary input variable */ + q7_t *pIn1, *pIn2; /* inputA and inputB pointer */ + uint32_t j, k, blkCnt, tapCnt; /* loop counter */ + q7_t *px; /* Temporary input1 pointer */ + q15_t *py; /* Temporary input2 pointer */ + q31_t acc0, acc1, acc2, acc3; /* Accumulator */ + q31_t x1, x2, x3, y1; /* Temporary input variables */ + arm_status status; + q7_t *pOut = pDst; /* output pointer */ + q7_t out0, out1, out2, out3; /* temporary variables */ + + /* Check for range of output samples to be calculated */ + if ((firstIndex + numPoints) > ((srcALen + (srcBLen - 1U)))) + { + /* Set status as ARM_MATH_ARGUMENT_ERROR */ + status = ARM_MATH_ARGUMENT_ERROR; + } + else + { + + /* The algorithm implementation is based on the lengths of the inputs. */ + /* srcB is always made to slide across srcA. */ + /* So srcBLen is always considered as shorter or equal to srcALen */ + if (srcALen >= srcBLen) + { + /* Initialization of inputA pointer */ + pIn1 = pSrcA; + + /* Initialization of inputB pointer */ + pIn2 = pSrcB; + } + else + { + /* Initialization of inputA pointer */ + pIn1 = pSrcB; + + /* Initialization of inputB pointer */ + pIn2 = pSrcA; + + /* srcBLen is always considered as shorter or equal to srcALen */ + j = srcBLen; + srcBLen = srcALen; + srcALen = j; + } + + /* pointer to take end of scratch2 buffer */ + pScr2 = pScratch2; + + /* points to smaller length sequence */ + px = pIn2 + srcBLen - 1; + + /* Apply loop unrolling and do 4 Copies simultaneously. */ + k = srcBLen >> 2U; + + /* First part of the processing with loop unrolling copies 4 data points at a time. + ** a second loop below copies for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* copy second buffer in reversal manner */ + x4 = (q15_t) * px--; + *pScr2++ = x4; + x4 = (q15_t) * px--; + *pScr2++ = x4; + x4 = (q15_t) * px--; + *pScr2++ = x4; + x4 = (q15_t) * px--; + *pScr2++ = x4; + + /* Decrement the loop counter */ + k--; + } + + /* If the count is not a multiple of 4, copy remaining samples here. + ** No loop unrolling is used. */ + k = srcBLen % 0x4U; + + while (k > 0U) + { + /* copy second buffer in reversal manner for remaining samples */ + x4 = (q15_t) * px--; + *pScr2++ = x4; + + /* Decrement the loop counter */ + k--; + } + + /* Initialze temporary scratch pointer */ + pScr1 = pScratch1; + + /* Fill (srcBLen - 1U) zeros in scratch buffer */ + arm_fill_q15(0, pScr1, (srcBLen - 1U)); + + /* Update temporary scratch pointer */ + pScr1 += (srcBLen - 1U); + + /* Copy (srcALen) samples in scratch buffer */ + /* Apply loop unrolling and do 4 Copies simultaneously. */ + k = srcALen >> 2U; + + /* First part of the processing with loop unrolling copies 4 data points at a time. + ** a second loop below copies for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* copy second buffer in reversal manner */ + x4 = (q15_t) * pIn1++; + *pScr1++ = x4; + x4 = (q15_t) * pIn1++; + *pScr1++ = x4; + x4 = (q15_t) * pIn1++; + *pScr1++ = x4; + x4 = (q15_t) * pIn1++; + *pScr1++ = x4; + + /* Decrement the loop counter */ + k--; + } + + /* If the count is not a multiple of 4, copy remaining samples here. + ** No loop unrolling is used. */ + k = srcALen % 0x4U; + + while (k > 0U) + { + /* copy second buffer in reversal manner for remaining samples */ + x4 = (q15_t) * pIn1++; + *pScr1++ = x4; + + /* Decrement the loop counter */ + k--; + } + + /* Fill (srcBLen - 1U) zeros at end of scratch buffer */ + arm_fill_q15(0, pScr1, (srcBLen - 1U)); + + /* Update pointer */ + pScr1 += (srcBLen - 1U); + + + /* Temporary pointer for scratch2 */ + py = pScratch2; + + /* Initialization of pIn2 pointer */ + pIn2 = (q7_t *) py; + + pScr2 = py; + + pOut = pDst + firstIndex; + + pScratch1 += firstIndex; + + /* Actual convolution process starts here */ + blkCnt = (numPoints) >> 2; + + + while (blkCnt > 0) + { + /* Initialze temporary scratch pointer as scratch1 */ + pScr1 = pScratch1; + + /* Clear Accumlators */ + acc0 = 0; + acc1 = 0; + acc2 = 0; + acc3 = 0; + + /* Read two samples from scratch1 buffer */ + x1 = *__SIMD32(pScr1)++; + + /* Read next two samples from scratch1 buffer */ + x2 = *__SIMD32(pScr1)++; + + tapCnt = (srcBLen) >> 2U; + + while (tapCnt > 0U) + { + + /* Read four samples from smaller buffer */ + y1 = _SIMD32_OFFSET(pScr2); + + /* multiply and accumlate */ + acc0 = __SMLAD(x1, y1, acc0); + acc2 = __SMLAD(x2, y1, acc2); + + /* pack input data */ +#ifndef ARM_MATH_BIG_ENDIAN + x3 = __PKHBT(x2, x1, 0); +#else + x3 = __PKHBT(x1, x2, 0); +#endif + + /* multiply and accumlate */ + acc1 = __SMLADX(x3, y1, acc1); + + /* Read next two samples from scratch1 buffer */ + x1 = *__SIMD32(pScr1)++; + + /* pack input data */ +#ifndef ARM_MATH_BIG_ENDIAN + x3 = __PKHBT(x1, x2, 0); +#else + x3 = __PKHBT(x2, x1, 0); +#endif + + acc3 = __SMLADX(x3, y1, acc3); + + /* Read four samples from smaller buffer */ + y1 = _SIMD32_OFFSET(pScr2 + 2U); + + acc0 = __SMLAD(x2, y1, acc0); + + acc2 = __SMLAD(x1, y1, acc2); + + acc1 = __SMLADX(x3, y1, acc1); + + x2 = *__SIMD32(pScr1)++; + +#ifndef ARM_MATH_BIG_ENDIAN + x3 = __PKHBT(x2, x1, 0); +#else + x3 = __PKHBT(x1, x2, 0); +#endif + + acc3 = __SMLADX(x3, y1, acc3); + + pScr2 += 4U; + + + /* Decrement the loop counter */ + tapCnt--; + } + + + + /* Update scratch pointer for remaining samples of smaller length sequence */ + pScr1 -= 4U; + + + /* apply same above for remaining samples of smaller length sequence */ + tapCnt = (srcBLen) & 3U; + + while (tapCnt > 0U) + { + + /* accumlate the results */ + acc0 += (*pScr1++ * *pScr2); + acc1 += (*pScr1++ * *pScr2); + acc2 += (*pScr1++ * *pScr2); + acc3 += (*pScr1++ * *pScr2++); + + pScr1 -= 3U; + + /* Decrement the loop counter */ + tapCnt--; + } + + blkCnt--; + + /* Store the result in the accumulator in the destination buffer. */ + out0 = (q7_t) (__SSAT(acc0 >> 7U, 8)); + out1 = (q7_t) (__SSAT(acc1 >> 7U, 8)); + out2 = (q7_t) (__SSAT(acc2 >> 7U, 8)); + out3 = (q7_t) (__SSAT(acc3 >> 7U, 8)); + + *__SIMD32(pOut)++ = __PACKq7(out0, out1, out2, out3); + + /* Initialization of inputB pointer */ + pScr2 = py; + + pScratch1 += 4U; + + } + + blkCnt = (numPoints) & 0x3; + + /* Calculate convolution for remaining samples of Bigger length sequence */ + while (blkCnt > 0) + { + /* Initialze temporary scratch pointer as scratch1 */ + pScr1 = pScratch1; + + /* Clear Accumlators */ + acc0 = 0; + + tapCnt = (srcBLen) >> 1U; + + while (tapCnt > 0U) + { + + /* Read next two samples from scratch1 buffer */ + x1 = *__SIMD32(pScr1)++; + + /* Read two samples from smaller buffer */ + y1 = *__SIMD32(pScr2)++; + + acc0 = __SMLAD(x1, y1, acc0); + + /* Decrement the loop counter */ + tapCnt--; + } + + tapCnt = (srcBLen) & 1U; + + /* apply same above for remaining samples of smaller length sequence */ + while (tapCnt > 0U) + { + + /* accumlate the results */ + acc0 += (*pScr1++ * *pScr2++); + + /* Decrement the loop counter */ + tapCnt--; + } + + blkCnt--; + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q7_t) (__SSAT(acc0 >> 7U, 8)); + + /* Initialization of inputB pointer */ + pScr2 = py; + + pScratch1 += 1U; + + } + + /* set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + + + } + + return (status); + +} + +#else + +arm_status arm_conv_partial_opt_q7( + q7_t * pSrcA, + uint32_t srcALen, + q7_t * pSrcB, + uint32_t srcBLen, + q7_t * pDst, + uint32_t firstIndex, + uint32_t numPoints, + q15_t * pScratch1, + q15_t * pScratch2) +{ + + q15_t *pScr2, *pScr1; /* Intermediate pointers for scratch pointers */ + q15_t x4; /* Temporary input variable */ + q7_t *pIn1, *pIn2; /* inputA and inputB pointer */ + uint32_t j, k, blkCnt, tapCnt; /* loop counter */ + q7_t *px; /* Temporary input1 pointer */ + q15_t *py; /* Temporary input2 pointer */ + q31_t acc0, acc1, acc2, acc3; /* Accumulator */ + arm_status status; + q7_t *pOut = pDst; /* output pointer */ + q15_t x10, x11, x20, x21; /* Temporary input variables */ + q15_t y10, y11; /* Temporary input variables */ + + /* Check for range of output samples to be calculated */ + if ((firstIndex + numPoints) > ((srcALen + (srcBLen - 1U)))) + { + /* Set status as ARM_MATH_ARGUMENT_ERROR */ + status = ARM_MATH_ARGUMENT_ERROR; + } + else + { + + /* The algorithm implementation is based on the lengths of the inputs. */ + /* srcB is always made to slide across srcA. */ + /* So srcBLen is always considered as shorter or equal to srcALen */ + if (srcALen >= srcBLen) + { + /* Initialization of inputA pointer */ + pIn1 = pSrcA; + + /* Initialization of inputB pointer */ + pIn2 = pSrcB; + } + else + { + /* Initialization of inputA pointer */ + pIn1 = pSrcB; + + /* Initialization of inputB pointer */ + pIn2 = pSrcA; + + /* srcBLen is always considered as shorter or equal to srcALen */ + j = srcBLen; + srcBLen = srcALen; + srcALen = j; + } + + /* pointer to take end of scratch2 buffer */ + pScr2 = pScratch2; + + /* points to smaller length sequence */ + px = pIn2 + srcBLen - 1; + + /* Apply loop unrolling and do 4 Copies simultaneously. */ + k = srcBLen >> 2U; + + /* First part of the processing with loop unrolling copies 4 data points at a time. + ** a second loop below copies for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* copy second buffer in reversal manner */ + x4 = (q15_t) * px--; + *pScr2++ = x4; + x4 = (q15_t) * px--; + *pScr2++ = x4; + x4 = (q15_t) * px--; + *pScr2++ = x4; + x4 = (q15_t) * px--; + *pScr2++ = x4; + + /* Decrement the loop counter */ + k--; + } + + /* If the count is not a multiple of 4, copy remaining samples here. + ** No loop unrolling is used. */ + k = srcBLen % 0x4U; + + while (k > 0U) + { + /* copy second buffer in reversal manner for remaining samples */ + x4 = (q15_t) * px--; + *pScr2++ = x4; + + /* Decrement the loop counter */ + k--; + } + + /* Initialze temporary scratch pointer */ + pScr1 = pScratch1; + + /* Fill (srcBLen - 1U) zeros in scratch buffer */ + arm_fill_q15(0, pScr1, (srcBLen - 1U)); + + /* Update temporary scratch pointer */ + pScr1 += (srcBLen - 1U); + + /* Copy (srcALen) samples in scratch buffer */ + /* Apply loop unrolling and do 4 Copies simultaneously. */ + k = srcALen >> 2U; + + /* First part of the processing with loop unrolling copies 4 data points at a time. + ** a second loop below copies for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* copy second buffer in reversal manner */ + x4 = (q15_t) * pIn1++; + *pScr1++ = x4; + x4 = (q15_t) * pIn1++; + *pScr1++ = x4; + x4 = (q15_t) * pIn1++; + *pScr1++ = x4; + x4 = (q15_t) * pIn1++; + *pScr1++ = x4; + + /* Decrement the loop counter */ + k--; + } + + /* If the count is not a multiple of 4, copy remaining samples here. + ** No loop unrolling is used. */ + k = srcALen % 0x4U; + + while (k > 0U) + { + /* copy second buffer in reversal manner for remaining samples */ + x4 = (q15_t) * pIn1++; + *pScr1++ = x4; + + /* Decrement the loop counter */ + k--; + } + + /* Apply loop unrolling and do 4 Copies simultaneously. */ + k = (srcBLen - 1U) >> 2U; + + /* First part of the processing with loop unrolling copies 4 data points at a time. + ** a second loop below copies for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* copy second buffer in reversal manner */ + *pScr1++ = 0; + *pScr1++ = 0; + *pScr1++ = 0; + *pScr1++ = 0; + + /* Decrement the loop counter */ + k--; + } + + /* If the count is not a multiple of 4, copy remaining samples here. + ** No loop unrolling is used. */ + k = (srcBLen - 1U) % 0x4U; + + while (k > 0U) + { + /* copy second buffer in reversal manner for remaining samples */ + *pScr1++ = 0; + + /* Decrement the loop counter */ + k--; + } + + + /* Temporary pointer for scratch2 */ + py = pScratch2; + + /* Initialization of pIn2 pointer */ + pIn2 = (q7_t *) py; + + pScr2 = py; + + pOut = pDst + firstIndex; + + pScratch1 += firstIndex; + + /* Actual convolution process starts here */ + blkCnt = (numPoints) >> 2; + + + while (blkCnt > 0) + { + /* Initialze temporary scratch pointer as scratch1 */ + pScr1 = pScratch1; + + /* Clear Accumlators */ + acc0 = 0; + acc1 = 0; + acc2 = 0; + acc3 = 0; + + /* Read two samples from scratch1 buffer */ + x10 = *pScr1++; + x11 = *pScr1++; + + /* Read next two samples from scratch1 buffer */ + x20 = *pScr1++; + x21 = *pScr1++; + + tapCnt = (srcBLen) >> 2U; + + while (tapCnt > 0U) + { + + /* Read four samples from smaller buffer */ + y10 = *pScr2; + y11 = *(pScr2 + 1U); + + /* multiply and accumlate */ + acc0 += (q31_t) x10 *y10; + acc0 += (q31_t) x11 *y11; + acc2 += (q31_t) x20 *y10; + acc2 += (q31_t) x21 *y11; + + + acc1 += (q31_t) x11 *y10; + acc1 += (q31_t) x20 *y11; + + /* Read next two samples from scratch1 buffer */ + x10 = *pScr1; + x11 = *(pScr1 + 1U); + + /* multiply and accumlate */ + acc3 += (q31_t) x21 *y10; + acc3 += (q31_t) x10 *y11; + + /* Read next two samples from scratch2 buffer */ + y10 = *(pScr2 + 2U); + y11 = *(pScr2 + 3U); + + /* multiply and accumlate */ + acc0 += (q31_t) x20 *y10; + acc0 += (q31_t) x21 *y11; + acc2 += (q31_t) x10 *y10; + acc2 += (q31_t) x11 *y11; + acc1 += (q31_t) x21 *y10; + acc1 += (q31_t) x10 *y11; + + /* Read next two samples from scratch1 buffer */ + x20 = *(pScr1 + 2); + x21 = *(pScr1 + 3); + + /* multiply and accumlate */ + acc3 += (q31_t) x11 *y10; + acc3 += (q31_t) x20 *y11; + + /* update scratch pointers */ + + pScr1 += 4U; + pScr2 += 4U; + + /* Decrement the loop counter */ + tapCnt--; + } + + + + /* Update scratch pointer for remaining samples of smaller length sequence */ + pScr1 -= 4U; + + + /* apply same above for remaining samples of smaller length sequence */ + tapCnt = (srcBLen) & 3U; + + while (tapCnt > 0U) + { + + /* accumlate the results */ + acc0 += (*pScr1++ * *pScr2); + acc1 += (*pScr1++ * *pScr2); + acc2 += (*pScr1++ * *pScr2); + acc3 += (*pScr1++ * *pScr2++); + + pScr1 -= 3U; + + /* Decrement the loop counter */ + tapCnt--; + } + + blkCnt--; + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q7_t) (__SSAT(acc0 >> 7U, 8)); + *pOut++ = (q7_t) (__SSAT(acc1 >> 7U, 8)); + *pOut++ = (q7_t) (__SSAT(acc2 >> 7U, 8)); + *pOut++ = (q7_t) (__SSAT(acc3 >> 7U, 8)); + + /* Initialization of inputB pointer */ + pScr2 = py; + + pScratch1 += 4U; + + } + + blkCnt = (numPoints) & 0x3; + + /* Calculate convolution for remaining samples of Bigger length sequence */ + while (blkCnt > 0) + { + /* Initialze temporary scratch pointer as scratch1 */ + pScr1 = pScratch1; + + /* Clear Accumlators */ + acc0 = 0; + + tapCnt = (srcBLen) >> 1U; + + while (tapCnt > 0U) + { + + /* Read next two samples from scratch1 buffer */ + x10 = *pScr1++; + x11 = *pScr1++; + + /* Read two samples from smaller buffer */ + y10 = *pScr2++; + y11 = *pScr2++; + + /* multiply and accumlate */ + acc0 += (q31_t) x10 *y10; + acc0 += (q31_t) x11 *y11; + + /* Decrement the loop counter */ + tapCnt--; + } + + tapCnt = (srcBLen) & 1U; + + /* apply same above for remaining samples of smaller length sequence */ + while (tapCnt > 0U) + { + + /* accumlate the results */ + acc0 += (*pScr1++ * *pScr2++); + + /* Decrement the loop counter */ + tapCnt--; + } + + blkCnt--; + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q7_t) (__SSAT(acc0 >> 7U, 8)); + + /* Initialization of inputB pointer */ + pScr2 = py; + + pScratch1 += 1U; + + } + + /* set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + + } + + return (status); + +} + +#endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */ + + + +/** + * @} end of PartialConv group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_q15.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_q15.c new file mode 100644 index 0000000..43d2b35 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_q15.c @@ -0,0 +1,795 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_conv_partial_q15.c + * Description: Partial convolution of Q15 sequences + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupFilters + */ + +/** + * @addtogroup PartialConv + * @{ + */ + +/** + * @brief Partial convolution of Q15 sequences. + * @param[in] *pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] *pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] *pDst points to the location where the output result is written. + * @param[in] firstIndex is the first output sample to start with. + * @param[in] numPoints is the number of output points to be computed. + * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2]. + * + * Refer to arm_conv_partial_fast_q15() for a faster but less precise version of this function for Cortex-M3 and Cortex-M4. + * + * \par + * Refer the function arm_conv_partial_opt_q15() for a faster implementation of this function using scratch buffers. + * + */ + +arm_status arm_conv_partial_q15( + q15_t * pSrcA, + uint32_t srcALen, + q15_t * pSrcB, + uint32_t srcBLen, + q15_t * pDst, + uint32_t firstIndex, + uint32_t numPoints) +{ + + +#if (defined(ARM_MATH_CM7) || defined(ARM_MATH_CM4) || defined(ARM_MATH_CM3)) && !defined(UNALIGNED_SUPPORT_DISABLE) + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + q15_t *pIn1; /* inputA pointer */ + q15_t *pIn2; /* inputB pointer */ + q15_t *pOut = pDst; /* output pointer */ + q63_t sum, acc0, acc1, acc2, acc3; /* Accumulator */ + q15_t *px; /* Intermediate inputA pointer */ + q15_t *py; /* Intermediate inputB pointer */ + q15_t *pSrc1, *pSrc2; /* Intermediate pointers */ + q31_t x0, x1, x2, x3, c0; /* Temporary input variables */ + uint32_t j, k, count, check, blkCnt; + int32_t blockSize1, blockSize2, blockSize3; /* loop counter */ + arm_status status; /* status of Partial convolution */ + + /* Check for range of output samples to be calculated */ + if ((firstIndex + numPoints) > ((srcALen + (srcBLen - 1U)))) + { + /* Set status as ARM_MATH_ARGUMENT_ERROR */ + status = ARM_MATH_ARGUMENT_ERROR; + } + else + { + + /* The algorithm implementation is based on the lengths of the inputs. */ + /* srcB is always made to slide across srcA. */ + /* So srcBLen is always considered as shorter or equal to srcALen */ + if (srcALen >= srcBLen) + { + /* Initialization of inputA pointer */ + pIn1 = pSrcA; + + /* Initialization of inputB pointer */ + pIn2 = pSrcB; + } + else + { + /* Initialization of inputA pointer */ + pIn1 = pSrcB; + + /* Initialization of inputB pointer */ + pIn2 = pSrcA; + + /* srcBLen is always considered as shorter or equal to srcALen */ + j = srcBLen; + srcBLen = srcALen; + srcALen = j; + } + + /* Conditions to check which loopCounter holds + * the first and last indices of the output samples to be calculated. */ + check = firstIndex + numPoints; + blockSize3 = ((int32_t)check > (int32_t)srcALen) ? (int32_t)check - (int32_t)srcALen : 0; + blockSize3 = ((int32_t)firstIndex > (int32_t)srcALen - 1) ? blockSize3 - (int32_t)firstIndex + (int32_t)srcALen : blockSize3; + blockSize1 = (((int32_t) srcBLen - 1) - (int32_t) firstIndex); + blockSize1 = (blockSize1 > 0) ? ((check > (srcBLen - 1U)) ? blockSize1 : + (int32_t) numPoints) : 0; + blockSize2 = (int32_t) check - ((blockSize3 + blockSize1) + + (int32_t) firstIndex); + blockSize2 = (blockSize2 > 0) ? blockSize2 : 0; + + /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */ + /* The function is internally + * divided into three stages according to the number of multiplications that has to be + * taken place between inputA samples and inputB samples. In the first stage of the + * algorithm, the multiplications increase by one for every iteration. + * In the second stage of the algorithm, srcBLen number of multiplications are done. + * In the third stage of the algorithm, the multiplications decrease by one + * for every iteration. */ + + /* Set the output pointer to point to the firstIndex + * of the output sample to be calculated. */ + pOut = pDst + firstIndex; + + /* -------------------------- + * Initializations of stage1 + * -------------------------*/ + + /* sum = x[0] * y[0] + * sum = x[0] * y[1] + x[1] * y[0] + * .... + * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0] + */ + + /* In this stage the MAC operations are increased by 1 for every iteration. + The count variable holds the number of MAC operations performed. + Since the partial convolution starts from firstIndex + Number of Macs to be performed is firstIndex + 1 */ + count = 1U + firstIndex; + + /* Working pointer of inputA */ + px = pIn1; + + /* Working pointer of inputB */ + pSrc2 = pIn2 + firstIndex; + py = pSrc2; + + /* ------------------------ + * Stage1 process + * ----------------------*/ + + /* For loop unrolling by 4, this stage is divided into two. */ + /* First part of this stage computes the MAC operations less than 4 */ + /* Second part of this stage computes the MAC operations greater than or equal to 4 */ + + /* The first part of the stage starts here */ + while ((count < 4U) && (blockSize1 > 0)) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Loop over number of MAC operations between + * inputA samples and inputB samples */ + k = count; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum = __SMLALD(*px++, *py--, sum); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q15_t) (__SSAT((sum >> 15), 16)); + + /* Update the inputA and inputB pointers for next MAC calculation */ + py = ++pSrc2; + px = pIn1; + + /* Increment the MAC count */ + count++; + + /* Decrement the loop counter */ + blockSize1--; + } + + /* The second part of the stage starts here */ + /* The internal loop, over count, is unrolled by 4 */ + /* To, read the last two inputB samples using SIMD: + * y[srcBLen] and y[srcBLen-1] coefficients, py is decremented by 1 */ + py = py - 1; + + while (blockSize1 > 0) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = count >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* Perform the multiply-accumulates */ + /* x[0], x[1] are multiplied with y[srcBLen - 1], y[srcBLen - 2] respectively */ + sum = __SMLALDX(*__SIMD32(px)++, *__SIMD32(py)--, sum); + /* x[2], x[3] are multiplied with y[srcBLen - 3], y[srcBLen - 4] respectively */ + sum = __SMLALDX(*__SIMD32(px)++, *__SIMD32(py)--, sum); + + /* Decrement the loop counter */ + k--; + } + + /* For the next MAC operations, the pointer py is used without SIMD + * So, py is incremented by 1 */ + py = py + 1U; + + /* If the count is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = count % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum = __SMLALD(*px++, *py--, sum); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q15_t) (__SSAT((sum >> 15), 16)); + + /* Update the inputA and inputB pointers for next MAC calculation */ + py = ++pSrc2 - 1U; + px = pIn1; + + /* Increment the MAC count */ + count++; + + /* Decrement the loop counter */ + blockSize1--; + } + + /* -------------------------- + * Initializations of stage2 + * ------------------------*/ + + /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0] + * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0] + * .... + * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0] + */ + + /* Working pointer of inputA */ + if ((int32_t)firstIndex - (int32_t)srcBLen + 1 > 0) + { + px = pIn1 + firstIndex - srcBLen + 1; + } + else + { + px = pIn1; + } + + /* Working pointer of inputB */ + pSrc2 = pIn2 + (srcBLen - 1U); + py = pSrc2; + + /* count is the index by which the pointer pIn1 to be incremented */ + count = 0U; + + + /* -------------------- + * Stage2 process + * -------------------*/ + + /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed. + * So, to loop unroll over blockSize2, + * srcBLen should be greater than or equal to 4 */ + if (srcBLen >= 4U) + { + /* Loop unroll over blockSize2, by 4 */ + blkCnt = blockSize2 >> 2U; + + while (blkCnt > 0U) + { + py = py - 1U; + + /* Set all accumulators to zero */ + acc0 = 0; + acc1 = 0; + acc2 = 0; + acc3 = 0; + + + /* read x[0], x[1] samples */ + x0 = *__SIMD32(px); + /* read x[1], x[2] samples */ + x1 = _SIMD32_OFFSET(px+1); + px+= 2U; + + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = srcBLen >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + do + { + /* Read the last two inputB samples using SIMD: + * y[srcBLen - 1] and y[srcBLen - 2] */ + c0 = *__SIMD32(py)--; + + /* acc0 += x[0] * y[srcBLen - 1] + x[1] * y[srcBLen - 2] */ + acc0 = __SMLALDX(x0, c0, acc0); + + /* acc1 += x[1] * y[srcBLen - 1] + x[2] * y[srcBLen - 2] */ + acc1 = __SMLALDX(x1, c0, acc1); + + /* Read x[2], x[3] */ + x2 = *__SIMD32(px); + + /* Read x[3], x[4] */ + x3 = _SIMD32_OFFSET(px+1); + + /* acc2 += x[2] * y[srcBLen - 1] + x[3] * y[srcBLen - 2] */ + acc2 = __SMLALDX(x2, c0, acc2); + + /* acc3 += x[3] * y[srcBLen - 1] + x[4] * y[srcBLen - 2] */ + acc3 = __SMLALDX(x3, c0, acc3); + + /* Read y[srcBLen - 3] and y[srcBLen - 4] */ + c0 = *__SIMD32(py)--; + + /* acc0 += x[2] * y[srcBLen - 3] + x[3] * y[srcBLen - 4] */ + acc0 = __SMLALDX(x2, c0, acc0); + + /* acc1 += x[3] * y[srcBLen - 3] + x[4] * y[srcBLen - 4] */ + acc1 = __SMLALDX(x3, c0, acc1); + + /* Read x[4], x[5] */ + x0 = _SIMD32_OFFSET(px+2); + + /* Read x[5], x[6] */ + x1 = _SIMD32_OFFSET(px+3); + px += 4U; + + /* acc2 += x[4] * y[srcBLen - 3] + x[5] * y[srcBLen - 4] */ + acc2 = __SMLALDX(x0, c0, acc2); + + /* acc3 += x[5] * y[srcBLen - 3] + x[6] * y[srcBLen - 4] */ + acc3 = __SMLALDX(x1, c0, acc3); + + } while (--k); + + /* For the next MAC operations, SIMD is not used + * So, the 16 bit pointer if inputB, py is updated */ + + /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = srcBLen % 0x4U; + + if (k == 1U) + { + /* Read y[srcBLen - 5] */ + c0 = *(py+1); + +#ifdef ARM_MATH_BIG_ENDIAN + + c0 = c0 << 16U; + +#else + + c0 = c0 & 0x0000FFFF; + +#endif /* #ifdef ARM_MATH_BIG_ENDIAN */ + + /* Read x[7] */ + x3 = *__SIMD32(px); + px++; + + /* Perform the multiply-accumulates */ + acc0 = __SMLALD(x0, c0, acc0); + acc1 = __SMLALD(x1, c0, acc1); + acc2 = __SMLALDX(x1, c0, acc2); + acc3 = __SMLALDX(x3, c0, acc3); + } + + if (k == 2U) + { + /* Read y[srcBLen - 5], y[srcBLen - 6] */ + c0 = _SIMD32_OFFSET(py); + + /* Read x[7], x[8] */ + x3 = *__SIMD32(px); + + /* Read x[9] */ + x2 = _SIMD32_OFFSET(px+1); + px += 2U; + + /* Perform the multiply-accumulates */ + acc0 = __SMLALDX(x0, c0, acc0); + acc1 = __SMLALDX(x1, c0, acc1); + acc2 = __SMLALDX(x3, c0, acc2); + acc3 = __SMLALDX(x2, c0, acc3); + } + + if (k == 3U) + { + /* Read y[srcBLen - 5], y[srcBLen - 6] */ + c0 = _SIMD32_OFFSET(py); + + /* Read x[7], x[8] */ + x3 = *__SIMD32(px); + + /* Read x[9] */ + x2 = _SIMD32_OFFSET(px+1); + + /* Perform the multiply-accumulates */ + acc0 = __SMLALDX(x0, c0, acc0); + acc1 = __SMLALDX(x1, c0, acc1); + acc2 = __SMLALDX(x3, c0, acc2); + acc3 = __SMLALDX(x2, c0, acc3); + + c0 = *(py-1); + +#ifdef ARM_MATH_BIG_ENDIAN + + c0 = c0 << 16U; +#else + + c0 = c0 & 0x0000FFFF; +#endif /* #ifdef ARM_MATH_BIG_ENDIAN */ + + /* Read x[10] */ + x3 = _SIMD32_OFFSET(px+2); + px += 3U; + + /* Perform the multiply-accumulates */ + acc0 = __SMLALDX(x1, c0, acc0); + acc1 = __SMLALD(x2, c0, acc1); + acc2 = __SMLALDX(x2, c0, acc2); + acc3 = __SMLALDX(x3, c0, acc3); + } + + + /* Store the results in the accumulators in the destination buffer. */ + +#ifndef ARM_MATH_BIG_ENDIAN + + *__SIMD32(pOut)++ = + __PKHBT(__SSAT((acc0 >> 15), 16), __SSAT((acc1 >> 15), 16), 16); + *__SIMD32(pOut)++ = + __PKHBT(__SSAT((acc2 >> 15), 16), __SSAT((acc3 >> 15), 16), 16); + +#else + + *__SIMD32(pOut)++ = + __PKHBT(__SSAT((acc1 >> 15), 16), __SSAT((acc0 >> 15), 16), 16); + *__SIMD32(pOut)++ = + __PKHBT(__SSAT((acc3 >> 15), 16), __SSAT((acc2 >> 15), 16), 16); + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* Increment the pointer pIn1 index, count by 4 */ + count += 4U; + + /* Update the inputA and inputB pointers for next MAC calculation */ + if ((int32_t)firstIndex - (int32_t)srcBLen + 1 > 0) + { + px = pIn1 + firstIndex - srcBLen + 1 + count; + } + else + { + px = pIn1 + count; + } + py = pSrc2; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = (uint32_t) blockSize2 % 0x4U; + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = srcBLen >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum += (q63_t) ((q31_t) * px++ * *py--); + sum += (q63_t) ((q31_t) * px++ * *py--); + sum += (q63_t) ((q31_t) * px++ * *py--); + sum += (q63_t) ((q31_t) * px++ * *py--); + + /* Decrement the loop counter */ + k--; + } + + /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = srcBLen % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum += (q63_t) ((q31_t) * px++ * *py--); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q15_t) (__SSAT(sum >> 15, 16)); + + /* Increment the pointer pIn1 index, count by 1 */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + if ((int32_t)firstIndex - (int32_t)srcBLen + 1 > 0) + { + px = pIn1 + firstIndex - srcBLen + 1 + count; + } + else + { + px = pIn1 + count; + } + py = pSrc2; + + /* Decrement the loop counter */ + blkCnt--; + } + } + else + { + /* If the srcBLen is not a multiple of 4, + * the blockSize2 loop cannot be unrolled by 4 */ + blkCnt = (uint32_t) blockSize2; + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* srcBLen number of MACS should be performed */ + k = srcBLen; + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum += (q63_t) ((q31_t) * px++ * *py--); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q15_t) (__SSAT(sum >> 15, 16)); + + /* Increment the MAC count */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + if ((int32_t)firstIndex - (int32_t)srcBLen + 1 > 0) + { + px = pIn1 + firstIndex - srcBLen + 1 + count; + } + else + { + px = pIn1 + count; + } + py = pSrc2; + + /* Decrement the loop counter */ + blkCnt--; + } + } + + + /* -------------------------- + * Initializations of stage3 + * -------------------------*/ + + /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1] + * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2] + * .... + * sum += x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2] + * sum += x[srcALen-1] * y[srcBLen-1] + */ + + /* In this stage the MAC operations are decreased by 1 for every iteration. + The count variable holds the number of MAC operations performed */ + count = srcBLen - 1U; + + /* Working pointer of inputA */ + pSrc1 = (pIn1 + srcALen) - (srcBLen - 1U); + px = pSrc1; + + /* Working pointer of inputB */ + pSrc2 = pIn2 + (srcBLen - 1U); + pIn2 = pSrc2 - 1U; + py = pIn2; + + /* ------------------- + * Stage3 process + * ------------------*/ + + /* For loop unrolling by 4, this stage is divided into two. */ + /* First part of this stage computes the MAC operations greater than 4 */ + /* Second part of this stage computes the MAC operations less than or equal to 4 */ + + /* The first part of the stage starts here */ + j = count >> 2U; + + while ((j > 0U) && (blockSize3 > 0)) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = count >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* x[srcALen - srcBLen + 1], x[srcALen - srcBLen + 2] are multiplied + * with y[srcBLen - 1], y[srcBLen - 2] respectively */ + sum = __SMLALDX(*__SIMD32(px)++, *__SIMD32(py)--, sum); + /* x[srcALen - srcBLen + 3], x[srcALen - srcBLen + 4] are multiplied + * with y[srcBLen - 3], y[srcBLen - 4] respectively */ + sum = __SMLALDX(*__SIMD32(px)++, *__SIMD32(py)--, sum); + + /* Decrement the loop counter */ + k--; + } + + /* For the next MAC operations, the pointer py is used without SIMD + * So, py is incremented by 1 */ + py = py + 1U; + + /* If the count is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = count % 0x4U; + + while (k > 0U) + { + /* sum += x[srcALen - srcBLen + 5] * y[srcBLen - 5] */ + sum = __SMLALD(*px++, *py--, sum); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q15_t) (__SSAT((sum >> 15), 16)); + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = ++pSrc1; + py = pIn2; + + /* Decrement the MAC count */ + count--; + + /* Decrement the loop counter */ + blockSize3--; + + j--; + } + + /* The second part of the stage starts here */ + /* SIMD is not used for the next MAC operations, + * so pointer py is updated to read only one sample at a time */ + py = py + 1U; + + while (blockSize3 > 0) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = count; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + /* sum += x[srcALen-1] * y[srcBLen-1] */ + sum = __SMLALD(*px++, *py--, sum); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q15_t) (__SSAT((sum >> 15), 16)); + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = ++pSrc1; + py = pSrc2; + + /* Decrement the MAC count */ + count--; + + /* Decrement the loop counter */ + blockSize3--; + } + + /* set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + } + + /* Return to application */ + return (status); + +#else + + /* Run the below code for Cortex-M0 */ + + q15_t *pIn1 = pSrcA; /* inputA pointer */ + q15_t *pIn2 = pSrcB; /* inputB pointer */ + q63_t sum; /* Accumulator */ + uint32_t i, j; /* loop counters */ + arm_status status; /* status of Partial convolution */ + + /* Check for range of output samples to be calculated */ + if ((firstIndex + numPoints) > ((srcALen + (srcBLen - 1U)))) + { + /* Set status as ARM_ARGUMENT_ERROR */ + status = ARM_MATH_ARGUMENT_ERROR; + } + else + { + /* Loop to calculate convolution for output length number of values */ + for (i = firstIndex; i <= (firstIndex + numPoints - 1); i++) + { + /* Initialize sum with zero to carry on MAC operations */ + sum = 0; + + /* Loop to perform MAC operations according to convolution equation */ + for (j = 0; j <= i; j++) + { + /* Check the array limitations */ + if (((i - j) < srcBLen) && (j < srcALen)) + { + /* z[i] += x[i-j] * y[j] */ + sum += ((q31_t) pIn1[j] * (pIn2[i - j])); + } + } + + /* Store the output in the destination buffer */ + pDst[i] = (q15_t) __SSAT((sum >> 15U), 16U); + } + /* set status as ARM_SUCCESS as there are no argument errors */ + status = ARM_MATH_SUCCESS; + } + return (status); + +#endif /* #if (defined(ARM_MATH_CM7) || defined(ARM_MATH_CM4) || defined(ARM_MATH_CM3)) && !defined(UNALIGNED_SUPPORT_DISABLE) */ + +} + +/** + * @} end of PartialConv group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_q31.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_q31.c new file mode 100644 index 0000000..3a108e0 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_q31.c @@ -0,0 +1,616 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_conv_partial_q31.c + * Description: Partial convolution of Q31 sequences + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupFilters + */ + +/** + * @addtogroup PartialConv + * @{ + */ + +/** + * @brief Partial convolution of Q31 sequences. + * @param[in] *pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] *pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] *pDst points to the location where the output result is written. + * @param[in] firstIndex is the first output sample to start with. + * @param[in] numPoints is the number of output points to be computed. + * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2]. + * + * See arm_conv_partial_fast_q31() for a faster but less precise implementation of this function for Cortex-M3 and Cortex-M4. + */ + +arm_status arm_conv_partial_q31( + q31_t * pSrcA, + uint32_t srcALen, + q31_t * pSrcB, + uint32_t srcBLen, + q31_t * pDst, + uint32_t firstIndex, + uint32_t numPoints) +{ + + +#if defined (ARM_MATH_DSP) + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + q31_t *pIn1; /* inputA pointer */ + q31_t *pIn2; /* inputB pointer */ + q31_t *pOut = pDst; /* output pointer */ + q31_t *px; /* Intermediate inputA pointer */ + q31_t *py; /* Intermediate inputB pointer */ + q31_t *pSrc1, *pSrc2; /* Intermediate pointers */ + q63_t sum, acc0, acc1, acc2; /* Accumulator */ + q31_t x0, x1, x2, c0; + uint32_t j, k, count, check, blkCnt; + int32_t blockSize1, blockSize2, blockSize3; /* loop counter */ + arm_status status; /* status of Partial convolution */ + + + /* Check for range of output samples to be calculated */ + if ((firstIndex + numPoints) > ((srcALen + (srcBLen - 1U)))) + { + /* Set status as ARM_MATH_ARGUMENT_ERROR */ + status = ARM_MATH_ARGUMENT_ERROR; + } + else + { + + /* The algorithm implementation is based on the lengths of the inputs. */ + /* srcB is always made to slide across srcA. */ + /* So srcBLen is always considered as shorter or equal to srcALen */ + if (srcALen >= srcBLen) + { + /* Initialization of inputA pointer */ + pIn1 = pSrcA; + + /* Initialization of inputB pointer */ + pIn2 = pSrcB; + } + else + { + /* Initialization of inputA pointer */ + pIn1 = pSrcB; + + /* Initialization of inputB pointer */ + pIn2 = pSrcA; + + /* srcBLen is always considered as shorter or equal to srcALen */ + j = srcBLen; + srcBLen = srcALen; + srcALen = j; + } + + /* Conditions to check which loopCounter holds + * the first and last indices of the output samples to be calculated. */ + check = firstIndex + numPoints; + blockSize3 = ((int32_t)check > (int32_t)srcALen) ? (int32_t)check - (int32_t)srcALen : 0; + blockSize3 = ((int32_t)firstIndex > (int32_t)srcALen - 1) ? blockSize3 - (int32_t)firstIndex + (int32_t)srcALen : blockSize3; + blockSize1 = (((int32_t) srcBLen - 1) - (int32_t) firstIndex); + blockSize1 = (blockSize1 > 0) ? ((check > (srcBLen - 1U)) ? blockSize1 : + (int32_t) numPoints) : 0; + blockSize2 = (int32_t) check - ((blockSize3 + blockSize1) + + (int32_t) firstIndex); + blockSize2 = (blockSize2 > 0) ? blockSize2 : 0; + + /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */ + /* The function is internally + * divided into three stages according to the number of multiplications that has to be + * taken place between inputA samples and inputB samples. In the first stage of the + * algorithm, the multiplications increase by one for every iteration. + * In the second stage of the algorithm, srcBLen number of multiplications are done. + * In the third stage of the algorithm, the multiplications decrease by one + * for every iteration. */ + + /* Set the output pointer to point to the firstIndex + * of the output sample to be calculated. */ + pOut = pDst + firstIndex; + + /* -------------------------- + * Initializations of stage1 + * -------------------------*/ + + /* sum = x[0] * y[0] + * sum = x[0] * y[1] + x[1] * y[0] + * .... + * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0] + */ + + /* In this stage the MAC operations are increased by 1 for every iteration. + The count variable holds the number of MAC operations performed. + Since the partial convolution starts from firstIndex + Number of Macs to be performed is firstIndex + 1 */ + count = 1U + firstIndex; + + /* Working pointer of inputA */ + px = pIn1; + + /* Working pointer of inputB */ + pSrc2 = pIn2 + firstIndex; + py = pSrc2; + + /* ------------------------ + * Stage1 process + * ----------------------*/ + + /* The first loop starts here */ + while (blockSize1 > 0) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = count >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* x[0] * y[srcBLen - 1] */ + sum += (q63_t) * px++ * (*py--); + /* x[1] * y[srcBLen - 2] */ + sum += (q63_t) * px++ * (*py--); + /* x[2] * y[srcBLen - 3] */ + sum += (q63_t) * px++ * (*py--); + /* x[3] * y[srcBLen - 4] */ + sum += (q63_t) * px++ * (*py--); + + /* Decrement the loop counter */ + k--; + } + + /* If the count is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = count % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum += (q63_t) * px++ * (*py--); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q31_t) (sum >> 31); + + /* Update the inputA and inputB pointers for next MAC calculation */ + py = ++pSrc2; + px = pIn1; + + /* Increment the MAC count */ + count++; + + /* Decrement the loop counter */ + blockSize1--; + } + + /* -------------------------- + * Initializations of stage2 + * ------------------------*/ + + /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0] + * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0] + * .... + * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0] + */ + + /* Working pointer of inputA */ + if ((int32_t)firstIndex - (int32_t)srcBLen + 1 > 0) + { + px = pIn1 + firstIndex - srcBLen + 1; + } + else + { + px = pIn1; + } + + /* Working pointer of inputB */ + pSrc2 = pIn2 + (srcBLen - 1U); + py = pSrc2; + + /* count is index by which the pointer pIn1 to be incremented */ + count = 0U; + + /* ------------------- + * Stage2 process + * ------------------*/ + + /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed. + * So, to loop unroll over blockSize2, + * srcBLen should be greater than or equal to 4 */ + if (srcBLen >= 4U) + { + /* Loop unroll over blkCnt */ + + blkCnt = blockSize2 / 3; + while (blkCnt > 0U) + { + /* Set all accumulators to zero */ + acc0 = 0; + acc1 = 0; + acc2 = 0; + + /* read x[0], x[1] samples */ + x0 = *(px++); + x1 = *(px++); + + /* Apply loop unrolling and compute 3 MACs simultaneously. */ + k = srcBLen / 3; + + /* First part of the processing with loop unrolling. Compute 3 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 2 samples. */ + do + { + /* Read y[srcBLen - 1] sample */ + c0 = *(py); + + /* Read x[2] sample */ + x2 = *(px); + + /* Perform the multiply-accumulates */ + /* acc0 += x[0] * y[srcBLen - 1] */ + acc0 += (q63_t) x0 *c0; + /* acc1 += x[1] * y[srcBLen - 1] */ + acc1 += (q63_t) x1 *c0; + /* acc2 += x[2] * y[srcBLen - 1] */ + acc2 += (q63_t) x2 *c0; + + /* Read y[srcBLen - 2] sample */ + c0 = *(py - 1U); + + /* Read x[3] sample */ + x0 = *(px + 1U); + + /* Perform the multiply-accumulate */ + /* acc0 += x[1] * y[srcBLen - 2] */ + acc0 += (q63_t) x1 *c0; + /* acc1 += x[2] * y[srcBLen - 2] */ + acc1 += (q63_t) x2 *c0; + /* acc2 += x[3] * y[srcBLen - 2] */ + acc2 += (q63_t) x0 *c0; + + /* Read y[srcBLen - 3] sample */ + c0 = *(py - 2U); + + /* Read x[4] sample */ + x1 = *(px + 2U); + + /* Perform the multiply-accumulates */ + /* acc0 += x[2] * y[srcBLen - 3] */ + acc0 += (q63_t) x2 *c0; + /* acc1 += x[3] * y[srcBLen - 2] */ + acc1 += (q63_t) x0 *c0; + /* acc2 += x[4] * y[srcBLen - 2] */ + acc2 += (q63_t) x1 *c0; + + + px += 3U; + + py -= 3U; + + } while (--k); + + /* If the srcBLen is not a multiple of 3, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = srcBLen - (3 * (srcBLen / 3)); + + while (k > 0U) + { + /* Read y[srcBLen - 5] sample */ + c0 = *(py--); + + /* Read x[7] sample */ + x2 = *(px++); + + /* Perform the multiply-accumulates */ + /* acc0 += x[4] * y[srcBLen - 5] */ + acc0 += (q63_t) x0 *c0; + /* acc1 += x[5] * y[srcBLen - 5] */ + acc1 += (q63_t) x1 *c0; + /* acc2 += x[6] * y[srcBLen - 5] */ + acc2 += (q63_t) x2 *c0; + + /* Reuse the present samples for the next MAC */ + x0 = x1; + x1 = x2; + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q31_t) (acc0 >> 31); + *pOut++ = (q31_t) (acc1 >> 31); + *pOut++ = (q31_t) (acc2 >> 31); + + /* Increment the pointer pIn1 index, count by 3 */ + count += 3U; + + /* Update the inputA and inputB pointers for next MAC calculation */ + if ((int32_t)firstIndex - (int32_t)srcBLen + 1 > 0) + { + px = pIn1 + firstIndex - srcBLen + 1 + count; + } + else + { + px = pIn1 + count; + } + py = pSrc2; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize2 is not a multiple of 3, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize2 - 3 * (blockSize2 / 3); + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = srcBLen >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum += (q63_t) * px++ * (*py--); + sum += (q63_t) * px++ * (*py--); + sum += (q63_t) * px++ * (*py--); + sum += (q63_t) * px++ * (*py--); + + /* Decrement the loop counter */ + k--; + } + + /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = srcBLen % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum += (q63_t) * px++ * (*py--); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q31_t) (sum >> 31); + + /* Increment the MAC count */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + if ((int32_t)firstIndex - (int32_t)srcBLen + 1 > 0) + { + px = pIn1 + firstIndex - srcBLen + 1 + count; + } + else + { + px = pIn1 + count; + } + py = pSrc2; + + /* Decrement the loop counter */ + blkCnt--; + } + } + else + { + /* If the srcBLen is not a multiple of 4, + * the blockSize2 loop cannot be unrolled by 4 */ + blkCnt = (uint32_t) blockSize2; + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* srcBLen number of MACS should be performed */ + k = srcBLen; + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum += (q63_t) * px++ * (*py--); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q31_t) (sum >> 31); + + /* Increment the MAC count */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + if ((int32_t)firstIndex - (int32_t)srcBLen + 1 > 0) + { + px = pIn1 + firstIndex - srcBLen + 1 + count; + } + else + { + px = pIn1 + count; + } + py = pSrc2; + + /* Decrement the loop counter */ + blkCnt--; + } + } + + + /* -------------------------- + * Initializations of stage3 + * -------------------------*/ + + /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1] + * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2] + * .... + * sum += x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2] + * sum += x[srcALen-1] * y[srcBLen-1] + */ + + /* In this stage the MAC operations are decreased by 1 for every iteration. + The blockSize3 variable holds the number of MAC operations performed */ + count = srcBLen - 1U; + + /* Working pointer of inputA */ + pSrc1 = (pIn1 + srcALen) - (srcBLen - 1U); + px = pSrc1; + + /* Working pointer of inputB */ + pSrc2 = pIn2 + (srcBLen - 1U); + py = pSrc2; + + /* ------------------- + * Stage3 process + * ------------------*/ + + while (blockSize3 > 0) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = count >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + sum += (q63_t) * px++ * (*py--); + sum += (q63_t) * px++ * (*py--); + sum += (q63_t) * px++ * (*py--); + sum += (q63_t) * px++ * (*py--); + + /* Decrement the loop counter */ + k--; + } + + /* If the blockSize3 is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = count % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum += (q63_t) * px++ * (*py--); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q31_t) (sum >> 31); + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = ++pSrc1; + py = pSrc2; + + /* Decrement the MAC count */ + count--; + + /* Decrement the loop counter */ + blockSize3--; + + } + + /* set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + } + + /* Return to application */ + return (status); + +#else + + /* Run the below code for Cortex-M0 */ + + q31_t *pIn1 = pSrcA; /* inputA pointer */ + q31_t *pIn2 = pSrcB; /* inputB pointer */ + q63_t sum; /* Accumulator */ + uint32_t i, j; /* loop counters */ + arm_status status; /* status of Partial convolution */ + + /* Check for range of output samples to be calculated */ + if ((firstIndex + numPoints) > ((srcALen + (srcBLen - 1U)))) + { + /* Set status as ARM_ARGUMENT_ERROR */ + status = ARM_MATH_ARGUMENT_ERROR; + } + else + { + /* Loop to calculate convolution for output length number of values */ + for (i = firstIndex; i <= (firstIndex + numPoints - 1); i++) + { + /* Initialize sum with zero to carry on MAC operations */ + sum = 0; + + /* Loop to perform MAC operations according to convolution equation */ + for (j = 0; j <= i; j++) + { + /* Check the array limitations */ + if (((i - j) < srcBLen) && (j < srcALen)) + { + /* z[i] += x[i-j] * y[j] */ + sum += ((q63_t) pIn1[j] * (pIn2[i - j])); + } + } + + /* Store the output in the destination buffer */ + pDst[i] = (q31_t) (sum >> 31U); + } + /* set status as ARM_SUCCESS as there are no argument errors */ + status = ARM_MATH_SUCCESS; + } + return (status); + +#endif /* #if defined (ARM_MATH_DSP) */ + +} + +/** + * @} end of PartialConv group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_q7.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_q7.c new file mode 100644 index 0000000..cb4c562 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_q7.c @@ -0,0 +1,750 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_conv_partial_q7.c + * Description: Partial convolution of Q7 sequences + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupFilters + */ + +/** + * @addtogroup PartialConv + * @{ + */ + +/** + * @brief Partial convolution of Q7 sequences. + * @param[in] *pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] *pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] *pDst points to the location where the output result is written. + * @param[in] firstIndex is the first output sample to start with. + * @param[in] numPoints is the number of output points to be computed. + * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2]. + * + * \par + * Refer the function arm_conv_partial_opt_q7() for a faster implementation of this function. + * + */ + +arm_status arm_conv_partial_q7( + q7_t * pSrcA, + uint32_t srcALen, + q7_t * pSrcB, + uint32_t srcBLen, + q7_t * pDst, + uint32_t firstIndex, + uint32_t numPoints) +{ + + +#if defined (ARM_MATH_DSP) + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + q7_t *pIn1; /* inputA pointer */ + q7_t *pIn2; /* inputB pointer */ + q7_t *pOut = pDst; /* output pointer */ + q7_t *px; /* Intermediate inputA pointer */ + q7_t *py; /* Intermediate inputB pointer */ + q7_t *pSrc1, *pSrc2; /* Intermediate pointers */ + q31_t sum, acc0, acc1, acc2, acc3; /* Accumulator */ + q31_t input1, input2; + q15_t in1, in2; + q7_t x0, x1, x2, x3, c0, c1; + uint32_t j, k, count, check, blkCnt; + int32_t blockSize1, blockSize2, blockSize3; /* loop counter */ + arm_status status; + + + /* Check for range of output samples to be calculated */ + if ((firstIndex + numPoints) > ((srcALen + (srcBLen - 1U)))) + { + /* Set status as ARM_MATH_ARGUMENT_ERROR */ + status = ARM_MATH_ARGUMENT_ERROR; + } + else + { + + /* The algorithm implementation is based on the lengths of the inputs. */ + /* srcB is always made to slide across srcA. */ + /* So srcBLen is always considered as shorter or equal to srcALen */ + if (srcALen >= srcBLen) + { + /* Initialization of inputA pointer */ + pIn1 = pSrcA; + + /* Initialization of inputB pointer */ + pIn2 = pSrcB; + } + else + { + /* Initialization of inputA pointer */ + pIn1 = pSrcB; + + /* Initialization of inputB pointer */ + pIn2 = pSrcA; + + /* srcBLen is always considered as shorter or equal to srcALen */ + j = srcBLen; + srcBLen = srcALen; + srcALen = j; + } + + /* Conditions to check which loopCounter holds + * the first and last indices of the output samples to be calculated. */ + check = firstIndex + numPoints; + blockSize3 = ((int32_t)check > (int32_t)srcALen) ? (int32_t)check - (int32_t)srcALen : 0; + blockSize3 = ((int32_t)firstIndex > (int32_t)srcALen - 1) ? blockSize3 - (int32_t)firstIndex + (int32_t)srcALen : blockSize3; + blockSize1 = (((int32_t) srcBLen - 1) - (int32_t) firstIndex); + blockSize1 = (blockSize1 > 0) ? ((check > (srcBLen - 1U)) ? blockSize1 : + (int32_t) numPoints) : 0; + blockSize2 = (int32_t) check - ((blockSize3 + blockSize1) + + (int32_t) firstIndex); + blockSize2 = (blockSize2 > 0) ? blockSize2 : 0; + + /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */ + /* The function is internally + * divided into three stages according to the number of multiplications that has to be + * taken place between inputA samples and inputB samples. In the first stage of the + * algorithm, the multiplications increase by one for every iteration. + * In the second stage of the algorithm, srcBLen number of multiplications are done. + * In the third stage of the algorithm, the multiplications decrease by one + * for every iteration. */ + + /* Set the output pointer to point to the firstIndex + * of the output sample to be calculated. */ + pOut = pDst + firstIndex; + + /* -------------------------- + * Initializations of stage1 + * -------------------------*/ + + /* sum = x[0] * y[0] + * sum = x[0] * y[1] + x[1] * y[0] + * .... + * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0] + */ + + /* In this stage the MAC operations are increased by 1 for every iteration. + The count variable holds the number of MAC operations performed. + Since the partial convolution starts from from firstIndex + Number of Macs to be performed is firstIndex + 1 */ + count = 1U + firstIndex; + + /* Working pointer of inputA */ + px = pIn1; + + /* Working pointer of inputB */ + pSrc2 = pIn2 + firstIndex; + py = pSrc2; + + /* ------------------------ + * Stage1 process + * ----------------------*/ + + /* The first stage starts here */ + while (blockSize1 > 0) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = count >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* x[0] , x[1] */ + in1 = (q15_t) * px++; + in2 = (q15_t) * px++; + input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); + + /* y[srcBLen - 1] , y[srcBLen - 2] */ + in1 = (q15_t) * py--; + in2 = (q15_t) * py--; + input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); + + /* x[0] * y[srcBLen - 1] */ + /* x[1] * y[srcBLen - 2] */ + sum = __SMLAD(input1, input2, sum); + + /* x[2] , x[3] */ + in1 = (q15_t) * px++; + in2 = (q15_t) * px++; + input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); + + /* y[srcBLen - 3] , y[srcBLen - 4] */ + in1 = (q15_t) * py--; + in2 = (q15_t) * py--; + input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); + + /* x[2] * y[srcBLen - 3] */ + /* x[3] * y[srcBLen - 4] */ + sum = __SMLAD(input1, input2, sum); + + /* Decrement the loop counter */ + k--; + } + + /* If the count is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = count % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum += ((q31_t) * px++ * *py--); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q7_t) (__SSAT(sum >> 7, 8)); + + /* Update the inputA and inputB pointers for next MAC calculation */ + py = ++pSrc2; + px = pIn1; + + /* Increment the MAC count */ + count++; + + /* Decrement the loop counter */ + blockSize1--; + } + + /* -------------------------- + * Initializations of stage2 + * ------------------------*/ + + /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0] + * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0] + * .... + * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0] + */ + + /* Working pointer of inputA */ + if ((int32_t)firstIndex - (int32_t)srcBLen + 1 > 0) + { + px = pIn1 + firstIndex - srcBLen + 1; + } + else + { + px = pIn1; + } + + /* Working pointer of inputB */ + pSrc2 = pIn2 + (srcBLen - 1U); + py = pSrc2; + + /* count is index by which the pointer pIn1 to be incremented */ + count = 0U; + + /* ------------------- + * Stage2 process + * ------------------*/ + + /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed. + * So, to loop unroll over blockSize2, + * srcBLen should be greater than or equal to 4 */ + if (srcBLen >= 4U) + { + /* Loop unroll over blockSize2, by 4 */ + blkCnt = ((uint32_t) blockSize2 >> 2U); + + while (blkCnt > 0U) + { + /* Set all accumulators to zero */ + acc0 = 0; + acc1 = 0; + acc2 = 0; + acc3 = 0; + + /* read x[0], x[1], x[2] samples */ + x0 = *(px++); + x1 = *(px++); + x2 = *(px++); + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = srcBLen >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + do + { + /* Read y[srcBLen - 1] sample */ + c0 = *(py--); + /* Read y[srcBLen - 2] sample */ + c1 = *(py--); + + /* Read x[3] sample */ + x3 = *(px++); + + /* x[0] and x[1] are packed */ + in1 = (q15_t) x0; + in2 = (q15_t) x1; + + input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); + + /* y[srcBLen - 1] and y[srcBLen - 2] are packed */ + in1 = (q15_t) c0; + in2 = (q15_t) c1; + + input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); + + /* acc0 += x[0] * y[srcBLen - 1] + x[1] * y[srcBLen - 2] */ + acc0 = __SMLAD(input1, input2, acc0); + + /* x[1] and x[2] are packed */ + in1 = (q15_t) x1; + in2 = (q15_t) x2; + + input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); + + /* acc1 += x[1] * y[srcBLen - 1] + x[2] * y[srcBLen - 2] */ + acc1 = __SMLAD(input1, input2, acc1); + + /* x[2] and x[3] are packed */ + in1 = (q15_t) x2; + in2 = (q15_t) x3; + + input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); + + /* acc2 += x[2] * y[srcBLen - 1] + x[3] * y[srcBLen - 2] */ + acc2 = __SMLAD(input1, input2, acc2); + + /* Read x[4] sample */ + x0 = *(px++); + + /* x[3] and x[4] are packed */ + in1 = (q15_t) x3; + in2 = (q15_t) x0; + + input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); + + /* acc3 += x[3] * y[srcBLen - 1] + x[4] * y[srcBLen - 2] */ + acc3 = __SMLAD(input1, input2, acc3); + + /* Read y[srcBLen - 3] sample */ + c0 = *(py--); + /* Read y[srcBLen - 4] sample */ + c1 = *(py--); + + /* Read x[5] sample */ + x1 = *(px++); + + /* x[2] and x[3] are packed */ + in1 = (q15_t) x2; + in2 = (q15_t) x3; + + input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); + + /* y[srcBLen - 3] and y[srcBLen - 4] are packed */ + in1 = (q15_t) c0; + in2 = (q15_t) c1; + + input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); + + /* acc0 += x[2] * y[srcBLen - 3] + x[3] * y[srcBLen - 4] */ + acc0 = __SMLAD(input1, input2, acc0); + + /* x[3] and x[4] are packed */ + in1 = (q15_t) x3; + in2 = (q15_t) x0; + + input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); + + /* acc1 += x[3] * y[srcBLen - 3] + x[4] * y[srcBLen - 4] */ + acc1 = __SMLAD(input1, input2, acc1); + + /* x[4] and x[5] are packed */ + in1 = (q15_t) x0; + in2 = (q15_t) x1; + + input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); + + /* acc2 += x[4] * y[srcBLen - 3] + x[5] * y[srcBLen - 4] */ + acc2 = __SMLAD(input1, input2, acc2); + + /* Read x[6] sample */ + x2 = *(px++); + + /* x[5] and x[6] are packed */ + in1 = (q15_t) x1; + in2 = (q15_t) x2; + + input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); + + /* acc3 += x[5] * y[srcBLen - 3] + x[6] * y[srcBLen - 4] */ + acc3 = __SMLAD(input1, input2, acc3); + + } while (--k); + + /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = srcBLen % 0x4U; + + while (k > 0U) + { + /* Read y[srcBLen - 5] sample */ + c0 = *(py--); + + /* Read x[7] sample */ + x3 = *(px++); + + /* Perform the multiply-accumulates */ + /* acc0 += x[4] * y[srcBLen - 5] */ + acc0 += ((q31_t) x0 * c0); + /* acc1 += x[5] * y[srcBLen - 5] */ + acc1 += ((q31_t) x1 * c0); + /* acc2 += x[6] * y[srcBLen - 5] */ + acc2 += ((q31_t) x2 * c0); + /* acc3 += x[7] * y[srcBLen - 5] */ + acc3 += ((q31_t) x3 * c0); + + /* Reuse the present samples for the next MAC */ + x0 = x1; + x1 = x2; + x2 = x3; + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q7_t) (__SSAT(acc0 >> 7, 8)); + *pOut++ = (q7_t) (__SSAT(acc1 >> 7, 8)); + *pOut++ = (q7_t) (__SSAT(acc2 >> 7, 8)); + *pOut++ = (q7_t) (__SSAT(acc3 >> 7, 8)); + + /* Increment the pointer pIn1 index, count by 4 */ + count += 4U; + + /* Update the inputA and inputB pointers for next MAC calculation */ + if ((int32_t)firstIndex - (int32_t)srcBLen + 1 > 0) + { + px = pIn1 + firstIndex - srcBLen + 1 + count; + } + else + { + px = pIn1 + count; + } + py = pSrc2; + + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = (uint32_t) blockSize2 % 0x4U; + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = srcBLen >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + + /* Reading two inputs of SrcA buffer and packing */ + in1 = (q15_t) * px++; + in2 = (q15_t) * px++; + input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); + + /* Reading two inputs of SrcB buffer and packing */ + in1 = (q15_t) * py--; + in2 = (q15_t) * py--; + input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); + + /* Perform the multiply-accumulates */ + sum = __SMLAD(input1, input2, sum); + + /* Reading two inputs of SrcA buffer and packing */ + in1 = (q15_t) * px++; + in2 = (q15_t) * px++; + input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); + + /* Reading two inputs of SrcB buffer and packing */ + in1 = (q15_t) * py--; + in2 = (q15_t) * py--; + input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); + + /* Perform the multiply-accumulates */ + sum = __SMLAD(input1, input2, sum); + + /* Decrement the loop counter */ + k--; + } + + /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = srcBLen % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum += ((q31_t) * px++ * *py--); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q7_t) (__SSAT(sum >> 7, 8)); + + /* Increment the pointer pIn1 index, count by 1 */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + if ((int32_t)firstIndex - (int32_t)srcBLen + 1 > 0) + { + px = pIn1 + firstIndex - srcBLen + 1 + count; + } + else + { + px = pIn1 + count; + } + py = pSrc2; + + /* Decrement the loop counter */ + blkCnt--; + } + } + else + { + /* If the srcBLen is not a multiple of 4, + * the blockSize2 loop cannot be unrolled by 4 */ + blkCnt = (uint32_t) blockSize2; + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* srcBLen number of MACS should be performed */ + k = srcBLen; + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum += ((q31_t) * px++ * *py--); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q7_t) (__SSAT(sum >> 7, 8)); + + /* Increment the MAC count */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + if ((int32_t)firstIndex - (int32_t)srcBLen + 1 > 0) + { + px = pIn1 + firstIndex - srcBLen + 1 + count; + } + else + { + px = pIn1 + count; + } + py = pSrc2; + + /* Decrement the loop counter */ + blkCnt--; + } + } + + + /* -------------------------- + * Initializations of stage3 + * -------------------------*/ + + /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1] + * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2] + * .... + * sum += x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2] + * sum += x[srcALen-1] * y[srcBLen-1] + */ + + /* In this stage the MAC operations are decreased by 1 for every iteration. + The count variable holds the number of MAC operations performed */ + count = srcBLen - 1U; + + /* Working pointer of inputA */ + pSrc1 = (pIn1 + srcALen) - (srcBLen - 1U); + px = pSrc1; + + /* Working pointer of inputB */ + pSrc2 = pIn2 + (srcBLen - 1U); + py = pSrc2; + + /* ------------------- + * Stage3 process + * ------------------*/ + + while (blockSize3 > 0) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = count >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* Reading two inputs, x[srcALen - srcBLen + 1] and x[srcALen - srcBLen + 2] of SrcA buffer and packing */ + in1 = (q15_t) * px++; + in2 = (q15_t) * px++; + input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); + + /* Reading two inputs, y[srcBLen - 1] and y[srcBLen - 2] of SrcB buffer and packing */ + in1 = (q15_t) * py--; + in2 = (q15_t) * py--; + input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); + + /* sum += x[srcALen - srcBLen + 1] * y[srcBLen - 1] */ + /* sum += x[srcALen - srcBLen + 2] * y[srcBLen - 2] */ + sum = __SMLAD(input1, input2, sum); + + /* Reading two inputs, x[srcALen - srcBLen + 3] and x[srcALen - srcBLen + 4] of SrcA buffer and packing */ + in1 = (q15_t) * px++; + in2 = (q15_t) * px++; + input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); + + /* Reading two inputs, y[srcBLen - 3] and y[srcBLen - 4] of SrcB buffer and packing */ + in1 = (q15_t) * py--; + in2 = (q15_t) * py--; + input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); + + /* sum += x[srcALen - srcBLen + 3] * y[srcBLen - 3] */ + /* sum += x[srcALen - srcBLen + 4] * y[srcBLen - 4] */ + sum = __SMLAD(input1, input2, sum); + + /* Decrement the loop counter */ + k--; + } + + /* If the count is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = count % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + /* sum += x[srcALen-1] * y[srcBLen-1] */ + sum += ((q31_t) * px++ * *py--); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q7_t) (__SSAT(sum >> 7, 8)); + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = ++pSrc1; + py = pSrc2; + + /* Decrement the MAC count */ + count--; + + /* Decrement the loop counter */ + blockSize3--; + + } + + /* set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + } + + /* Return to application */ + return (status); + +#else + + /* Run the below code for Cortex-M0 */ + + q7_t *pIn1 = pSrcA; /* inputA pointer */ + q7_t *pIn2 = pSrcB; /* inputB pointer */ + q31_t sum; /* Accumulator */ + uint32_t i, j; /* loop counters */ + arm_status status; /* status of Partial convolution */ + + /* Check for range of output samples to be calculated */ + if ((firstIndex + numPoints) > ((srcALen + (srcBLen - 1U)))) + { + /* Set status as ARM_ARGUMENT_ERROR */ + status = ARM_MATH_ARGUMENT_ERROR; + } + else + { + /* Loop to calculate convolution for output length number of values */ + for (i = firstIndex; i <= (firstIndex + numPoints - 1); i++) + { + /* Initialize sum with zero to carry on MAC operations */ + sum = 0; + + /* Loop to perform MAC operations according to convolution equation */ + for (j = 0; j <= i; j++) + { + /* Check the array limitations */ + if (((i - j) < srcBLen) && (j < srcALen)) + { + /* z[i] += x[i-j] * y[j] */ + sum += ((q15_t) pIn1[j] * (pIn2[i - j])); + } + } + + /* Store the output in the destination buffer */ + pDst[i] = (q7_t) __SSAT((sum >> 7U), 8U); + } + /* set status as ARM_SUCCESS as there are no argument errors */ + status = ARM_MATH_SUCCESS; + } + return (status); + +#endif /* #if defined (ARM_MATH_DSP) */ + +} + +/** + * @} end of PartialConv group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_q15.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_q15.c new file mode 100644 index 0000000..c6721e0 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_q15.c @@ -0,0 +1,722 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_conv_q15.c + * Description: Convolution of Q15 sequences + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupFilters + */ + +/** + * @addtogroup Conv + * @{ + */ + +/** + * @brief Convolution of Q15 sequences. + * @param[in] *pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] *pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] *pDst points to the location where the output result is written. Length srcALen+srcBLen-1. + * @return none. + * + * @details + * Scaling and Overflow Behavior: + * + * \par + * The function is implemented using a 64-bit internal accumulator. + * Both inputs are in 1.15 format and multiplications yield a 2.30 result. + * The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format. + * This approach provides 33 guard bits and there is no risk of overflow. + * The 34.30 result is then truncated to 34.15 format by discarding the low 15 bits and then saturated to 1.15 format. + * + * \par + * Refer to arm_conv_fast_q15() for a faster but less precise version of this function for Cortex-M3 and Cortex-M4. + * + * \par + * Refer the function arm_conv_opt_q15() for a faster implementation of this function using scratch buffers. + * + */ + +void arm_conv_q15( + q15_t * pSrcA, + uint32_t srcALen, + q15_t * pSrcB, + uint32_t srcBLen, + q15_t * pDst) +{ + +#if (defined(ARM_MATH_CM7) || defined(ARM_MATH_CM4) || defined(ARM_MATH_CM3)) && !defined(UNALIGNED_SUPPORT_DISABLE) + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + q15_t *pIn1; /* inputA pointer */ + q15_t *pIn2; /* inputB pointer */ + q15_t *pOut = pDst; /* output pointer */ + q63_t sum, acc0, acc1, acc2, acc3; /* Accumulator */ + q15_t *px; /* Intermediate inputA pointer */ + q15_t *py; /* Intermediate inputB pointer */ + q15_t *pSrc1, *pSrc2; /* Intermediate pointers */ + q31_t x0, x1, x2, x3, c0; /* Temporary variables to hold state and coefficient values */ + uint32_t blockSize1, blockSize2, blockSize3, j, k, count, blkCnt; /* loop counter */ + + /* The algorithm implementation is based on the lengths of the inputs. */ + /* srcB is always made to slide across srcA. */ + /* So srcBLen is always considered as shorter or equal to srcALen */ + if (srcALen >= srcBLen) + { + /* Initialization of inputA pointer */ + pIn1 = pSrcA; + + /* Initialization of inputB pointer */ + pIn2 = pSrcB; + } + else + { + /* Initialization of inputA pointer */ + pIn1 = pSrcB; + + /* Initialization of inputB pointer */ + pIn2 = pSrcA; + + /* srcBLen is always considered as shorter or equal to srcALen */ + j = srcBLen; + srcBLen = srcALen; + srcALen = j; + } + + /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */ + /* The function is internally + * divided into three stages according to the number of multiplications that has to be + * taken place between inputA samples and inputB samples. In the first stage of the + * algorithm, the multiplications increase by one for every iteration. + * In the second stage of the algorithm, srcBLen number of multiplications are done. + * In the third stage of the algorithm, the multiplications decrease by one + * for every iteration. */ + + /* The algorithm is implemented in three stages. + The loop counters of each stage is initiated here. */ + blockSize1 = srcBLen - 1U; + blockSize2 = srcALen - (srcBLen - 1U); + + /* -------------------------- + * Initializations of stage1 + * -------------------------*/ + + /* sum = x[0] * y[0] + * sum = x[0] * y[1] + x[1] * y[0] + * .... + * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0] + */ + + /* In this stage the MAC operations are increased by 1 for every iteration. + The count variable holds the number of MAC operations performed */ + count = 1U; + + /* Working pointer of inputA */ + px = pIn1; + + /* Working pointer of inputB */ + py = pIn2; + + + /* ------------------------ + * Stage1 process + * ----------------------*/ + + /* For loop unrolling by 4, this stage is divided into two. */ + /* First part of this stage computes the MAC operations less than 4 */ + /* Second part of this stage computes the MAC operations greater than or equal to 4 */ + + /* The first part of the stage starts here */ + while ((count < 4U) && (blockSize1 > 0U)) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Loop over number of MAC operations between + * inputA samples and inputB samples */ + k = count; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum = __SMLALD(*px++, *py--, sum); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q15_t) (__SSAT((sum >> 15), 16)); + + /* Update the inputA and inputB pointers for next MAC calculation */ + py = pIn2 + count; + px = pIn1; + + /* Increment the MAC count */ + count++; + + /* Decrement the loop counter */ + blockSize1--; + } + + /* The second part of the stage starts here */ + /* The internal loop, over count, is unrolled by 4 */ + /* To, read the last two inputB samples using SIMD: + * y[srcBLen] and y[srcBLen-1] coefficients, py is decremented by 1 */ + py = py - 1; + + while (blockSize1 > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = count >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* Perform the multiply-accumulates */ + /* x[0], x[1] are multiplied with y[srcBLen - 1], y[srcBLen - 2] respectively */ + sum = __SMLALDX(*__SIMD32(px)++, *__SIMD32(py)--, sum); + /* x[2], x[3] are multiplied with y[srcBLen - 3], y[srcBLen - 4] respectively */ + sum = __SMLALDX(*__SIMD32(px)++, *__SIMD32(py)--, sum); + + /* Decrement the loop counter */ + k--; + } + + /* For the next MAC operations, the pointer py is used without SIMD + * So, py is incremented by 1 */ + py = py + 1U; + + /* If the count is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = count % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum = __SMLALD(*px++, *py--, sum); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q15_t) (__SSAT((sum >> 15), 16)); + + /* Update the inputA and inputB pointers for next MAC calculation */ + py = pIn2 + (count - 1U); + px = pIn1; + + /* Increment the MAC count */ + count++; + + /* Decrement the loop counter */ + blockSize1--; + } + + /* -------------------------- + * Initializations of stage2 + * ------------------------*/ + + /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0] + * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0] + * .... + * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0] + */ + + /* Working pointer of inputA */ + px = pIn1; + + /* Working pointer of inputB */ + pSrc2 = pIn2 + (srcBLen - 1U); + py = pSrc2; + + /* count is the index by which the pointer pIn1 to be incremented */ + count = 0U; + + + /* -------------------- + * Stage2 process + * -------------------*/ + + /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed. + * So, to loop unroll over blockSize2, + * srcBLen should be greater than or equal to 4 */ + if (srcBLen >= 4U) + { + /* Loop unroll over blockSize2, by 4 */ + blkCnt = blockSize2 >> 2U; + + while (blkCnt > 0U) + { + py = py - 1U; + + /* Set all accumulators to zero */ + acc0 = 0; + acc1 = 0; + acc2 = 0; + acc3 = 0; + + + /* read x[0], x[1] samples */ + x0 = *__SIMD32(px); + /* read x[1], x[2] samples */ + x1 = _SIMD32_OFFSET(px+1); + px+= 2U; + + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = srcBLen >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + do + { + /* Read the last two inputB samples using SIMD: + * y[srcBLen - 1] and y[srcBLen - 2] */ + c0 = *__SIMD32(py)--; + + /* acc0 += x[0] * y[srcBLen - 1] + x[1] * y[srcBLen - 2] */ + acc0 = __SMLALDX(x0, c0, acc0); + + /* acc1 += x[1] * y[srcBLen - 1] + x[2] * y[srcBLen - 2] */ + acc1 = __SMLALDX(x1, c0, acc1); + + /* Read x[2], x[3] */ + x2 = *__SIMD32(px); + + /* Read x[3], x[4] */ + x3 = _SIMD32_OFFSET(px+1); + + /* acc2 += x[2] * y[srcBLen - 1] + x[3] * y[srcBLen - 2] */ + acc2 = __SMLALDX(x2, c0, acc2); + + /* acc3 += x[3] * y[srcBLen - 1] + x[4] * y[srcBLen - 2] */ + acc3 = __SMLALDX(x3, c0, acc3); + + /* Read y[srcBLen - 3] and y[srcBLen - 4] */ + c0 = *__SIMD32(py)--; + + /* acc0 += x[2] * y[srcBLen - 3] + x[3] * y[srcBLen - 4] */ + acc0 = __SMLALDX(x2, c0, acc0); + + /* acc1 += x[3] * y[srcBLen - 3] + x[4] * y[srcBLen - 4] */ + acc1 = __SMLALDX(x3, c0, acc1); + + /* Read x[4], x[5] */ + x0 = _SIMD32_OFFSET(px+2); + + /* Read x[5], x[6] */ + x1 = _SIMD32_OFFSET(px+3); + px += 4U; + + /* acc2 += x[4] * y[srcBLen - 3] + x[5] * y[srcBLen - 4] */ + acc2 = __SMLALDX(x0, c0, acc2); + + /* acc3 += x[5] * y[srcBLen - 3] + x[6] * y[srcBLen - 4] */ + acc3 = __SMLALDX(x1, c0, acc3); + + } while (--k); + + /* For the next MAC operations, SIMD is not used + * So, the 16 bit pointer if inputB, py is updated */ + + /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = srcBLen % 0x4U; + + if (k == 1U) + { + /* Read y[srcBLen - 5] */ + c0 = *(py+1); + +#ifdef ARM_MATH_BIG_ENDIAN + + c0 = c0 << 16U; + +#else + + c0 = c0 & 0x0000FFFF; + +#endif /* #ifdef ARM_MATH_BIG_ENDIAN */ + /* Read x[7] */ + x3 = *__SIMD32(px); + px++; + + /* Perform the multiply-accumulates */ + acc0 = __SMLALD(x0, c0, acc0); + acc1 = __SMLALD(x1, c0, acc1); + acc2 = __SMLALDX(x1, c0, acc2); + acc3 = __SMLALDX(x3, c0, acc3); + } + + if (k == 2U) + { + /* Read y[srcBLen - 5], y[srcBLen - 6] */ + c0 = _SIMD32_OFFSET(py); + + /* Read x[7], x[8] */ + x3 = *__SIMD32(px); + + /* Read x[9] */ + x2 = _SIMD32_OFFSET(px+1); + px += 2U; + + /* Perform the multiply-accumulates */ + acc0 = __SMLALDX(x0, c0, acc0); + acc1 = __SMLALDX(x1, c0, acc1); + acc2 = __SMLALDX(x3, c0, acc2); + acc3 = __SMLALDX(x2, c0, acc3); + } + + if (k == 3U) + { + /* Read y[srcBLen - 5], y[srcBLen - 6] */ + c0 = _SIMD32_OFFSET(py); + + /* Read x[7], x[8] */ + x3 = *__SIMD32(px); + + /* Read x[9] */ + x2 = _SIMD32_OFFSET(px+1); + + /* Perform the multiply-accumulates */ + acc0 = __SMLALDX(x0, c0, acc0); + acc1 = __SMLALDX(x1, c0, acc1); + acc2 = __SMLALDX(x3, c0, acc2); + acc3 = __SMLALDX(x2, c0, acc3); + + c0 = *(py-1); + +#ifdef ARM_MATH_BIG_ENDIAN + + c0 = c0 << 16U; +#else + + c0 = c0 & 0x0000FFFF; +#endif /* #ifdef ARM_MATH_BIG_ENDIAN */ + /* Read x[10] */ + x3 = _SIMD32_OFFSET(px+2); + px += 3U; + + /* Perform the multiply-accumulates */ + acc0 = __SMLALDX(x1, c0, acc0); + acc1 = __SMLALD(x2, c0, acc1); + acc2 = __SMLALDX(x2, c0, acc2); + acc3 = __SMLALDX(x3, c0, acc3); + } + + + /* Store the results in the accumulators in the destination buffer. */ + +#ifndef ARM_MATH_BIG_ENDIAN + + *__SIMD32(pOut)++ = + __PKHBT(__SSAT((acc0 >> 15), 16), __SSAT((acc1 >> 15), 16), 16); + *__SIMD32(pOut)++ = + __PKHBT(__SSAT((acc2 >> 15), 16), __SSAT((acc3 >> 15), 16), 16); + +#else + + *__SIMD32(pOut)++ = + __PKHBT(__SSAT((acc1 >> 15), 16), __SSAT((acc0 >> 15), 16), 16); + *__SIMD32(pOut)++ = + __PKHBT(__SSAT((acc3 >> 15), 16), __SSAT((acc2 >> 15), 16), 16); + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* Increment the pointer pIn1 index, count by 4 */ + count += 4U; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pSrc2; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize2 % 0x4U; + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = srcBLen >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum += (q63_t) ((q31_t) * px++ * *py--); + sum += (q63_t) ((q31_t) * px++ * *py--); + sum += (q63_t) ((q31_t) * px++ * *py--); + sum += (q63_t) ((q31_t) * px++ * *py--); + + /* Decrement the loop counter */ + k--; + } + + /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = srcBLen % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum += (q63_t) ((q31_t) * px++ * *py--); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q15_t) (__SSAT(sum >> 15, 16)); + + /* Increment the pointer pIn1 index, count by 1 */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pSrc2; + + /* Decrement the loop counter */ + blkCnt--; + } + } + else + { + /* If the srcBLen is not a multiple of 4, + * the blockSize2 loop cannot be unrolled by 4 */ + blkCnt = blockSize2; + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* srcBLen number of MACS should be performed */ + k = srcBLen; + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum += (q63_t) ((q31_t) * px++ * *py--); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q15_t) (__SSAT(sum >> 15, 16)); + + /* Increment the MAC count */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pSrc2; + + /* Decrement the loop counter */ + blkCnt--; + } + } + + + /* -------------------------- + * Initializations of stage3 + * -------------------------*/ + + /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1] + * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2] + * .... + * sum += x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2] + * sum += x[srcALen-1] * y[srcBLen-1] + */ + + /* In this stage the MAC operations are decreased by 1 for every iteration. + The blockSize3 variable holds the number of MAC operations performed */ + + blockSize3 = srcBLen - 1U; + + /* Working pointer of inputA */ + pSrc1 = (pIn1 + srcALen) - (srcBLen - 1U); + px = pSrc1; + + /* Working pointer of inputB */ + pSrc2 = pIn2 + (srcBLen - 1U); + pIn2 = pSrc2 - 1U; + py = pIn2; + + /* ------------------- + * Stage3 process + * ------------------*/ + + /* For loop unrolling by 4, this stage is divided into two. */ + /* First part of this stage computes the MAC operations greater than 4 */ + /* Second part of this stage computes the MAC operations less than or equal to 4 */ + + /* The first part of the stage starts here */ + j = blockSize3 >> 2U; + + while ((j > 0U) && (blockSize3 > 0U)) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = blockSize3 >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* x[srcALen - srcBLen + 1], x[srcALen - srcBLen + 2] are multiplied + * with y[srcBLen - 1], y[srcBLen - 2] respectively */ + sum = __SMLALDX(*__SIMD32(px)++, *__SIMD32(py)--, sum); + /* x[srcALen - srcBLen + 3], x[srcALen - srcBLen + 4] are multiplied + * with y[srcBLen - 3], y[srcBLen - 4] respectively */ + sum = __SMLALDX(*__SIMD32(px)++, *__SIMD32(py)--, sum); + + /* Decrement the loop counter */ + k--; + } + + /* For the next MAC operations, the pointer py is used without SIMD + * So, py is incremented by 1 */ + py = py + 1U; + + /* If the blockSize3 is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = blockSize3 % 0x4U; + + while (k > 0U) + { + /* sum += x[srcALen - srcBLen + 5] * y[srcBLen - 5] */ + sum = __SMLALD(*px++, *py--, sum); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q15_t) (__SSAT((sum >> 15), 16)); + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = ++pSrc1; + py = pIn2; + + /* Decrement the loop counter */ + blockSize3--; + + j--; + } + + /* The second part of the stage starts here */ + /* SIMD is not used for the next MAC operations, + * so pointer py is updated to read only one sample at a time */ + py = py + 1U; + + while (blockSize3 > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = blockSize3; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + /* sum += x[srcALen-1] * y[srcBLen-1] */ + sum = __SMLALD(*px++, *py--, sum); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q15_t) (__SSAT((sum >> 15), 16)); + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = ++pSrc1; + py = pSrc2; + + /* Decrement the loop counter */ + blockSize3--; + } + +#else + +/* Run the below code for Cortex-M0 */ + + q15_t *pIn1 = pSrcA; /* input pointer */ + q15_t *pIn2 = pSrcB; /* coefficient pointer */ + q63_t sum; /* Accumulator */ + uint32_t i, j; /* loop counter */ + + /* Loop to calculate output of convolution for output length number of times */ + for (i = 0; i < (srcALen + srcBLen - 1); i++) + { + /* Initialize sum with zero to carry on MAC operations */ + sum = 0; + + /* Loop to perform MAC operations according to convolution equation */ + for (j = 0; j <= i; j++) + { + /* Check the array limitations */ + if (((i - j) < srcBLen) && (j < srcALen)) + { + /* z[i] += x[i-j] * y[j] */ + sum += (q31_t) pIn1[j] * (pIn2[i - j]); + } + } + + /* Store the output in the destination buffer */ + pDst[i] = (q15_t) __SSAT((sum >> 15U), 16U); + } + +#endif /* #if (defined(ARM_MATH_CM7) || defined(ARM_MATH_CM4) || defined(ARM_MATH_CM3)) && !defined(UNALIGNED_SUPPORT_DISABLE) */ + +} + +/** + * @} end of Conv group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_q31.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_q31.c new file mode 100644 index 0000000..14e5f86 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_q31.c @@ -0,0 +1,553 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_conv_q31.c + * Description: Convolution of Q31 sequences + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupFilters + */ + +/** + * @addtogroup Conv + * @{ + */ + +/** + * @brief Convolution of Q31 sequences. + * @param[in] *pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] *pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] *pDst points to the location where the output result is written. Length srcALen+srcBLen-1. + * @return none. + * + * @details + * Scaling and Overflow Behavior: + * + * \par + * The function is implemented using an internal 64-bit accumulator. + * The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit. + * There is no saturation on intermediate additions. + * Thus, if the accumulator overflows it wraps around and distorts the result. + * The input signals should be scaled down to avoid intermediate overflows. + * Scale down the inputs by log2(min(srcALen, srcBLen)) (log2 is read as log to the base 2) times to avoid overflows, + * as maximum of min(srcALen, srcBLen) number of additions are carried internally. + * The 2.62 accumulator is right shifted by 31 bits and saturated to 1.31 format to yield the final result. + * + * \par + * See arm_conv_fast_q31() for a faster but less precise implementation of this function for Cortex-M3 and Cortex-M4. + */ + +void arm_conv_q31( + q31_t * pSrcA, + uint32_t srcALen, + q31_t * pSrcB, + uint32_t srcBLen, + q31_t * pDst) +{ + + +#if defined (ARM_MATH_DSP) + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + q31_t *pIn1; /* inputA pointer */ + q31_t *pIn2; /* inputB pointer */ + q31_t *pOut = pDst; /* output pointer */ + q31_t *px; /* Intermediate inputA pointer */ + q31_t *py; /* Intermediate inputB pointer */ + q31_t *pSrc1, *pSrc2; /* Intermediate pointers */ + q63_t sum; /* Accumulator */ + q63_t acc0, acc1, acc2; /* Accumulator */ + q31_t x0, x1, x2, c0; /* Temporary variables to hold state and coefficient values */ + uint32_t j, k, count, blkCnt, blockSize1, blockSize2, blockSize3; /* loop counter */ + + /* The algorithm implementation is based on the lengths of the inputs. */ + /* srcB is always made to slide across srcA. */ + /* So srcBLen is always considered as shorter or equal to srcALen */ + if (srcALen >= srcBLen) + { + /* Initialization of inputA pointer */ + pIn1 = pSrcA; + + /* Initialization of inputB pointer */ + pIn2 = pSrcB; + } + else + { + /* Initialization of inputA pointer */ + pIn1 = (q31_t *) pSrcB; + + /* Initialization of inputB pointer */ + pIn2 = (q31_t *) pSrcA; + + /* srcBLen is always considered as shorter or equal to srcALen */ + j = srcBLen; + srcBLen = srcALen; + srcALen = j; + } + + /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */ + /* The function is internally + * divided into three stages according to the number of multiplications that has to be + * taken place between inputA samples and inputB samples. In the first stage of the + * algorithm, the multiplications increase by one for every iteration. + * In the second stage of the algorithm, srcBLen number of multiplications are done. + * In the third stage of the algorithm, the multiplications decrease by one + * for every iteration. */ + + /* The algorithm is implemented in three stages. + The loop counters of each stage is initiated here. */ + blockSize1 = srcBLen - 1U; + blockSize2 = srcALen - (srcBLen - 1U); + blockSize3 = blockSize1; + + /* -------------------------- + * Initializations of stage1 + * -------------------------*/ + + /* sum = x[0] * y[0] + * sum = x[0] * y[1] + x[1] * y[0] + * .... + * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0] + */ + + /* In this stage the MAC operations are increased by 1 for every iteration. + The count variable holds the number of MAC operations performed */ + count = 1U; + + /* Working pointer of inputA */ + px = pIn1; + + /* Working pointer of inputB */ + py = pIn2; + + + /* ------------------------ + * Stage1 process + * ----------------------*/ + + /* The first stage starts here */ + while (blockSize1 > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = count >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* x[0] * y[srcBLen - 1] */ + sum += (q63_t) * px++ * (*py--); + /* x[1] * y[srcBLen - 2] */ + sum += (q63_t) * px++ * (*py--); + /* x[2] * y[srcBLen - 3] */ + sum += (q63_t) * px++ * (*py--); + /* x[3] * y[srcBLen - 4] */ + sum += (q63_t) * px++ * (*py--); + + /* Decrement the loop counter */ + k--; + } + + /* If the count is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = count % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum += (q63_t) * px++ * (*py--); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q31_t) (sum >> 31); + + /* Update the inputA and inputB pointers for next MAC calculation */ + py = pIn2 + count; + px = pIn1; + + /* Increment the MAC count */ + count++; + + /* Decrement the loop counter */ + blockSize1--; + } + + /* -------------------------- + * Initializations of stage2 + * ------------------------*/ + + /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0] + * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0] + * .... + * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0] + */ + + /* Working pointer of inputA */ + px = pIn1; + + /* Working pointer of inputB */ + pSrc2 = pIn2 + (srcBLen - 1U); + py = pSrc2; + + /* count is index by which the pointer pIn1 to be incremented */ + count = 0U; + + /* ------------------- + * Stage2 process + * ------------------*/ + + /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed. + * So, to loop unroll over blockSize2, + * srcBLen should be greater than or equal to 4 */ + if (srcBLen >= 4U) + { + /* Loop unroll by 3 */ + blkCnt = blockSize2 / 3; + + while (blkCnt > 0U) + { + /* Set all accumulators to zero */ + acc0 = 0; + acc1 = 0; + acc2 = 0; + + /* read x[0], x[1], x[2] samples */ + x0 = *(px++); + x1 = *(px++); + + /* Apply loop unrolling and compute 3 MACs simultaneously. */ + k = srcBLen / 3; + + /* First part of the processing with loop unrolling. Compute 3 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 2 samples. */ + do + { + /* Read y[srcBLen - 1] sample */ + c0 = *(py); + + /* Read x[3] sample */ + x2 = *(px); + + /* Perform the multiply-accumulates */ + /* acc0 += x[0] * y[srcBLen - 1] */ + acc0 += ((q63_t) x0 * c0); + /* acc1 += x[1] * y[srcBLen - 1] */ + acc1 += ((q63_t) x1 * c0); + /* acc2 += x[2] * y[srcBLen - 1] */ + acc2 += ((q63_t) x2 * c0); + + /* Read y[srcBLen - 2] sample */ + c0 = *(py - 1U); + + /* Read x[4] sample */ + x0 = *(px + 1U); + + /* Perform the multiply-accumulate */ + /* acc0 += x[1] * y[srcBLen - 2] */ + acc0 += ((q63_t) x1 * c0); + /* acc1 += x[2] * y[srcBLen - 2] */ + acc1 += ((q63_t) x2 * c0); + /* acc2 += x[3] * y[srcBLen - 2] */ + acc2 += ((q63_t) x0 * c0); + + /* Read y[srcBLen - 3] sample */ + c0 = *(py - 2U); + + /* Read x[5] sample */ + x1 = *(px + 2U); + + /* Perform the multiply-accumulates */ + /* acc0 += x[2] * y[srcBLen - 3] */ + acc0 += ((q63_t) x2 * c0); + /* acc1 += x[3] * y[srcBLen - 2] */ + acc1 += ((q63_t) x0 * c0); + /* acc2 += x[4] * y[srcBLen - 2] */ + acc2 += ((q63_t) x1 * c0); + + /* update scratch pointers */ + px += 3U; + py -= 3U; + + } while (--k); + + /* If the srcBLen is not a multiple of 3, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = srcBLen - (3 * (srcBLen / 3)); + + while (k > 0U) + { + /* Read y[srcBLen - 5] sample */ + c0 = *(py--); + + /* Read x[7] sample */ + x2 = *(px++); + + /* Perform the multiply-accumulates */ + /* acc0 += x[4] * y[srcBLen - 5] */ + acc0 += ((q63_t) x0 * c0); + /* acc1 += x[5] * y[srcBLen - 5] */ + acc1 += ((q63_t) x1 * c0); + /* acc2 += x[6] * y[srcBLen - 5] */ + acc2 += ((q63_t) x2 * c0); + + /* Reuse the present samples for the next MAC */ + x0 = x1; + x1 = x2; + + /* Decrement the loop counter */ + k--; + } + + /* Store the results in the accumulators in the destination buffer. */ + *pOut++ = (q31_t) (acc0 >> 31); + *pOut++ = (q31_t) (acc1 >> 31); + *pOut++ = (q31_t) (acc2 >> 31); + + /* Increment the pointer pIn1 index, count by 3 */ + count += 3U; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pSrc2; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize2 is not a multiple of 3, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize2 - 3 * (blockSize2 / 3); + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = srcBLen >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum += (q63_t) * px++ * (*py--); + sum += (q63_t) * px++ * (*py--); + sum += (q63_t) * px++ * (*py--); + sum += (q63_t) * px++ * (*py--); + + /* Decrement the loop counter */ + k--; + } + + /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = srcBLen % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum += (q63_t) * px++ * (*py--); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q31_t) (sum >> 31); + + /* Increment the MAC count */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pSrc2; + + /* Decrement the loop counter */ + blkCnt--; + } + } + else + { + /* If the srcBLen is not a multiple of 4, + * the blockSize2 loop cannot be unrolled by 4 */ + blkCnt = blockSize2; + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* srcBLen number of MACS should be performed */ + k = srcBLen; + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum += (q63_t) * px++ * (*py--); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q31_t) (sum >> 31); + + /* Increment the MAC count */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pSrc2; + + /* Decrement the loop counter */ + blkCnt--; + } + } + + + /* -------------------------- + * Initializations of stage3 + * -------------------------*/ + + /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1] + * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2] + * .... + * sum += x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2] + * sum += x[srcALen-1] * y[srcBLen-1] + */ + + /* In this stage the MAC operations are decreased by 1 for every iteration. + The blockSize3 variable holds the number of MAC operations performed */ + + /* Working pointer of inputA */ + pSrc1 = (pIn1 + srcALen) - (srcBLen - 1U); + px = pSrc1; + + /* Working pointer of inputB */ + pSrc2 = pIn2 + (srcBLen - 1U); + py = pSrc2; + + /* ------------------- + * Stage3 process + * ------------------*/ + + while (blockSize3 > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = blockSize3 >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* sum += x[srcALen - srcBLen + 1] * y[srcBLen - 1] */ + sum += (q63_t) * px++ * (*py--); + /* sum += x[srcALen - srcBLen + 2] * y[srcBLen - 2] */ + sum += (q63_t) * px++ * (*py--); + /* sum += x[srcALen - srcBLen + 3] * y[srcBLen - 3] */ + sum += (q63_t) * px++ * (*py--); + /* sum += x[srcALen - srcBLen + 4] * y[srcBLen - 4] */ + sum += (q63_t) * px++ * (*py--); + + /* Decrement the loop counter */ + k--; + } + + /* If the blockSize3 is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = blockSize3 % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum += (q63_t) * px++ * (*py--); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q31_t) (sum >> 31); + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = ++pSrc1; + py = pSrc2; + + /* Decrement the loop counter */ + blockSize3--; + } + +#else + + /* Run the below code for Cortex-M0 */ + + q31_t *pIn1 = pSrcA; /* input pointer */ + q31_t *pIn2 = pSrcB; /* coefficient pointer */ + q63_t sum; /* Accumulator */ + uint32_t i, j; /* loop counter */ + + /* Loop to calculate output of convolution for output length number of times */ + for (i = 0; i < (srcALen + srcBLen - 1); i++) + { + /* Initialize sum with zero to carry on MAC operations */ + sum = 0; + + /* Loop to perform MAC operations according to convolution equation */ + for (j = 0; j <= i; j++) + { + /* Check the array limitations */ + if (((i - j) < srcBLen) && (j < srcALen)) + { + /* z[i] += x[i-j] * y[j] */ + sum += ((q63_t) pIn1[j] * (pIn2[i - j])); + } + } + + /* Store the output in the destination buffer */ + pDst[i] = (q31_t) (sum >> 31U); + } + +#endif /* #if defined (ARM_MATH_DSP) */ + +} + +/** + * @} end of Conv group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_q7.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_q7.c new file mode 100644 index 0000000..6c4dd3c --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_q7.c @@ -0,0 +1,678 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_conv_q7.c + * Description: Convolution of Q7 sequences + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupFilters + */ + +/** + * @addtogroup Conv + * @{ + */ + +/** + * @brief Convolution of Q7 sequences. + * @param[in] *pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] *pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] *pDst points to the location where the output result is written. Length srcALen+srcBLen-1. + * @return none. + * + * @details + * Scaling and Overflow Behavior: + * + * \par + * The function is implemented using a 32-bit internal accumulator. + * Both the inputs are represented in 1.7 format and multiplications yield a 2.14 result. + * The 2.14 intermediate results are accumulated in a 32-bit accumulator in 18.14 format. + * This approach provides 17 guard bits and there is no risk of overflow as long as max(srcALen, srcBLen)<131072. + * The 18.14 result is then truncated to 18.7 format by discarding the low 7 bits and then saturated to 1.7 format. + * + * \par + * Refer the function arm_conv_opt_q7() for a faster implementation of this function. + * + */ + +void arm_conv_q7( + q7_t * pSrcA, + uint32_t srcALen, + q7_t * pSrcB, + uint32_t srcBLen, + q7_t * pDst) +{ + + +#if defined (ARM_MATH_DSP) + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + q7_t *pIn1; /* inputA pointer */ + q7_t *pIn2; /* inputB pointer */ + q7_t *pOut = pDst; /* output pointer */ + q7_t *px; /* Intermediate inputA pointer */ + q7_t *py; /* Intermediate inputB pointer */ + q7_t *pSrc1, *pSrc2; /* Intermediate pointers */ + q7_t x0, x1, x2, x3, c0, c1; /* Temporary variables to hold state and coefficient values */ + q31_t sum, acc0, acc1, acc2, acc3; /* Accumulator */ + q31_t input1, input2; /* Temporary input variables */ + q15_t in1, in2; /* Temporary input variables */ + uint32_t j, k, count, blkCnt, blockSize1, blockSize2, blockSize3; /* loop counter */ + + /* The algorithm implementation is based on the lengths of the inputs. */ + /* srcB is always made to slide across srcA. */ + /* So srcBLen is always considered as shorter or equal to srcALen */ + if (srcALen >= srcBLen) + { + /* Initialization of inputA pointer */ + pIn1 = pSrcA; + + /* Initialization of inputB pointer */ + pIn2 = pSrcB; + } + else + { + /* Initialization of inputA pointer */ + pIn1 = pSrcB; + + /* Initialization of inputB pointer */ + pIn2 = pSrcA; + + /* srcBLen is always considered as shorter or equal to srcALen */ + j = srcBLen; + srcBLen = srcALen; + srcALen = j; + } + + /* conv(x,y) at n = x[n] * y[0] + x[n-1] * y[1] + x[n-2] * y[2] + ...+ x[n-N+1] * y[N -1] */ + /* The function is internally + * divided into three stages according to the number of multiplications that has to be + * taken place between inputA samples and inputB samples. In the first stage of the + * algorithm, the multiplications increase by one for every iteration. + * In the second stage of the algorithm, srcBLen number of multiplications are done. + * In the third stage of the algorithm, the multiplications decrease by one + * for every iteration. */ + + /* The algorithm is implemented in three stages. + The loop counters of each stage is initiated here. */ + blockSize1 = srcBLen - 1U; + blockSize2 = (srcALen - srcBLen) + 1U; + blockSize3 = blockSize1; + + /* -------------------------- + * Initializations of stage1 + * -------------------------*/ + + /* sum = x[0] * y[0] + * sum = x[0] * y[1] + x[1] * y[0] + * .... + * sum = x[0] * y[srcBlen - 1] + x[1] * y[srcBlen - 2] +...+ x[srcBLen - 1] * y[0] + */ + + /* In this stage the MAC operations are increased by 1 for every iteration. + The count variable holds the number of MAC operations performed */ + count = 1U; + + /* Working pointer of inputA */ + px = pIn1; + + /* Working pointer of inputB */ + py = pIn2; + + + /* ------------------------ + * Stage1 process + * ----------------------*/ + + /* The first stage starts here */ + while (blockSize1 > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = count >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* x[0] , x[1] */ + in1 = (q15_t) * px++; + in2 = (q15_t) * px++; + input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U); + + /* y[srcBLen - 1] , y[srcBLen - 2] */ + in1 = (q15_t) * py--; + in2 = (q15_t) * py--; + input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U); + + /* x[0] * y[srcBLen - 1] */ + /* x[1] * y[srcBLen - 2] */ + sum = __SMLAD(input1, input2, sum); + + /* x[2] , x[3] */ + in1 = (q15_t) * px++; + in2 = (q15_t) * px++; + input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U); + + /* y[srcBLen - 3] , y[srcBLen - 4] */ + in1 = (q15_t) * py--; + in2 = (q15_t) * py--; + input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U); + + /* x[2] * y[srcBLen - 3] */ + /* x[3] * y[srcBLen - 4] */ + sum = __SMLAD(input1, input2, sum); + + /* Decrement the loop counter */ + k--; + } + + /* If the count is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = count % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum += ((q15_t) * px++ * *py--); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q7_t) (__SSAT(sum >> 7U, 8)); + + /* Update the inputA and inputB pointers for next MAC calculation */ + py = pIn2 + count; + px = pIn1; + + /* Increment the MAC count */ + count++; + + /* Decrement the loop counter */ + blockSize1--; + } + + /* -------------------------- + * Initializations of stage2 + * ------------------------*/ + + /* sum = x[0] * y[srcBLen-1] + x[1] * y[srcBLen-2] +...+ x[srcBLen-1] * y[0] + * sum = x[1] * y[srcBLen-1] + x[2] * y[srcBLen-2] +...+ x[srcBLen] * y[0] + * .... + * sum = x[srcALen-srcBLen-2] * y[srcBLen-1] + x[srcALen] * y[srcBLen-2] +...+ x[srcALen-1] * y[0] + */ + + /* Working pointer of inputA */ + px = pIn1; + + /* Working pointer of inputB */ + pSrc2 = pIn2 + (srcBLen - 1U); + py = pSrc2; + + /* count is index by which the pointer pIn1 to be incremented */ + count = 0U; + + /* ------------------- + * Stage2 process + * ------------------*/ + + /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed. + * So, to loop unroll over blockSize2, + * srcBLen should be greater than or equal to 4 */ + if (srcBLen >= 4U) + { + /* Loop unroll over blockSize2, by 4 */ + blkCnt = blockSize2 >> 2U; + + while (blkCnt > 0U) + { + /* Set all accumulators to zero */ + acc0 = 0; + acc1 = 0; + acc2 = 0; + acc3 = 0; + + /* read x[0], x[1], x[2] samples */ + x0 = *(px++); + x1 = *(px++); + x2 = *(px++); + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = srcBLen >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + do + { + /* Read y[srcBLen - 1] sample */ + c0 = *(py--); + /* Read y[srcBLen - 2] sample */ + c1 = *(py--); + + /* Read x[3] sample */ + x3 = *(px++); + + /* x[0] and x[1] are packed */ + in1 = (q15_t) x0; + in2 = (q15_t) x1; + + input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U); + + /* y[srcBLen - 1] and y[srcBLen - 2] are packed */ + in1 = (q15_t) c0; + in2 = (q15_t) c1; + + input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U); + + /* acc0 += x[0] * y[srcBLen - 1] + x[1] * y[srcBLen - 2] */ + acc0 = __SMLAD(input1, input2, acc0); + + /* x[1] and x[2] are packed */ + in1 = (q15_t) x1; + in2 = (q15_t) x2; + + input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U); + + /* acc1 += x[1] * y[srcBLen - 1] + x[2] * y[srcBLen - 2] */ + acc1 = __SMLAD(input1, input2, acc1); + + /* x[2] and x[3] are packed */ + in1 = (q15_t) x2; + in2 = (q15_t) x3; + + input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U); + + /* acc2 += x[2] * y[srcBLen - 1] + x[3] * y[srcBLen - 2] */ + acc2 = __SMLAD(input1, input2, acc2); + + /* Read x[4] sample */ + x0 = *(px++); + + /* x[3] and x[4] are packed */ + in1 = (q15_t) x3; + in2 = (q15_t) x0; + + input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U); + + /* acc3 += x[3] * y[srcBLen - 1] + x[4] * y[srcBLen - 2] */ + acc3 = __SMLAD(input1, input2, acc3); + + /* Read y[srcBLen - 3] sample */ + c0 = *(py--); + /* Read y[srcBLen - 4] sample */ + c1 = *(py--); + + /* Read x[5] sample */ + x1 = *(px++); + + /* x[2] and x[3] are packed */ + in1 = (q15_t) x2; + in2 = (q15_t) x3; + + input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U); + + /* y[srcBLen - 3] and y[srcBLen - 4] are packed */ + in1 = (q15_t) c0; + in2 = (q15_t) c1; + + input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U); + + /* acc0 += x[2] * y[srcBLen - 3] + x[3] * y[srcBLen - 4] */ + acc0 = __SMLAD(input1, input2, acc0); + + /* x[3] and x[4] are packed */ + in1 = (q15_t) x3; + in2 = (q15_t) x0; + + input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U); + + /* acc1 += x[3] * y[srcBLen - 3] + x[4] * y[srcBLen - 4] */ + acc1 = __SMLAD(input1, input2, acc1); + + /* x[4] and x[5] are packed */ + in1 = (q15_t) x0; + in2 = (q15_t) x1; + + input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U); + + /* acc2 += x[4] * y[srcBLen - 3] + x[5] * y[srcBLen - 4] */ + acc2 = __SMLAD(input1, input2, acc2); + + /* Read x[6] sample */ + x2 = *(px++); + + /* x[5] and x[6] are packed */ + in1 = (q15_t) x1; + in2 = (q15_t) x2; + + input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U); + + /* acc3 += x[5] * y[srcBLen - 3] + x[6] * y[srcBLen - 4] */ + acc3 = __SMLAD(input1, input2, acc3); + + } while (--k); + + /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = srcBLen % 0x4U; + + while (k > 0U) + { + /* Read y[srcBLen - 5] sample */ + c0 = *(py--); + + /* Read x[7] sample */ + x3 = *(px++); + + /* Perform the multiply-accumulates */ + /* acc0 += x[4] * y[srcBLen - 5] */ + acc0 += ((q15_t) x0 * c0); + /* acc1 += x[5] * y[srcBLen - 5] */ + acc1 += ((q15_t) x1 * c0); + /* acc2 += x[6] * y[srcBLen - 5] */ + acc2 += ((q15_t) x2 * c0); + /* acc3 += x[7] * y[srcBLen - 5] */ + acc3 += ((q15_t) x3 * c0); + + /* Reuse the present samples for the next MAC */ + x0 = x1; + x1 = x2; + x2 = x3; + + /* Decrement the loop counter */ + k--; + } + + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q7_t) (__SSAT(acc0 >> 7U, 8)); + *pOut++ = (q7_t) (__SSAT(acc1 >> 7U, 8)); + *pOut++ = (q7_t) (__SSAT(acc2 >> 7U, 8)); + *pOut++ = (q7_t) (__SSAT(acc3 >> 7U, 8)); + + /* Increment the pointer pIn1 index, count by 4 */ + count += 4U; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pSrc2; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize2 % 0x4U; + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = srcBLen >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + + /* Reading two inputs of SrcA buffer and packing */ + in1 = (q15_t) * px++; + in2 = (q15_t) * px++; + input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U); + + /* Reading two inputs of SrcB buffer and packing */ + in1 = (q15_t) * py--; + in2 = (q15_t) * py--; + input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U); + + /* Perform the multiply-accumulates */ + sum = __SMLAD(input1, input2, sum); + + /* Reading two inputs of SrcA buffer and packing */ + in1 = (q15_t) * px++; + in2 = (q15_t) * px++; + input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U); + + /* Reading two inputs of SrcB buffer and packing */ + in1 = (q15_t) * py--; + in2 = (q15_t) * py--; + input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U); + + /* Perform the multiply-accumulates */ + sum = __SMLAD(input1, input2, sum); + + /* Decrement the loop counter */ + k--; + } + + /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = srcBLen % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum += ((q15_t) * px++ * *py--); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q7_t) (__SSAT(sum >> 7U, 8)); + + /* Increment the pointer pIn1 index, count by 1 */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pSrc2; + + /* Decrement the loop counter */ + blkCnt--; + } + } + else + { + /* If the srcBLen is not a multiple of 4, + * the blockSize2 loop cannot be unrolled by 4 */ + blkCnt = blockSize2; + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* srcBLen number of MACS should be performed */ + k = srcBLen; + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum += ((q15_t) * px++ * *py--); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q7_t) (__SSAT(sum >> 7U, 8)); + + /* Increment the MAC count */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pSrc2; + + /* Decrement the loop counter */ + blkCnt--; + } + } + + + /* -------------------------- + * Initializations of stage3 + * -------------------------*/ + + /* sum += x[srcALen-srcBLen+1] * y[srcBLen-1] + x[srcALen-srcBLen+2] * y[srcBLen-2] +...+ x[srcALen-1] * y[1] + * sum += x[srcALen-srcBLen+2] * y[srcBLen-1] + x[srcALen-srcBLen+3] * y[srcBLen-2] +...+ x[srcALen-1] * y[2] + * .... + * sum += x[srcALen-2] * y[srcBLen-1] + x[srcALen-1] * y[srcBLen-2] + * sum += x[srcALen-1] * y[srcBLen-1] + */ + + /* In this stage the MAC operations are decreased by 1 for every iteration. + The blockSize3 variable holds the number of MAC operations performed */ + + /* Working pointer of inputA */ + pSrc1 = pIn1 + (srcALen - (srcBLen - 1U)); + px = pSrc1; + + /* Working pointer of inputB */ + pSrc2 = pIn2 + (srcBLen - 1U); + py = pSrc2; + + /* ------------------- + * Stage3 process + * ------------------*/ + + while (blockSize3 > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = blockSize3 >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* Reading two inputs, x[srcALen - srcBLen + 1] and x[srcALen - srcBLen + 2] of SrcA buffer and packing */ + in1 = (q15_t) * px++; + in2 = (q15_t) * px++; + input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U); + + /* Reading two inputs, y[srcBLen - 1] and y[srcBLen - 2] of SrcB buffer and packing */ + in1 = (q15_t) * py--; + in2 = (q15_t) * py--; + input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U); + + /* sum += x[srcALen - srcBLen + 1] * y[srcBLen - 1] */ + /* sum += x[srcALen - srcBLen + 2] * y[srcBLen - 2] */ + sum = __SMLAD(input1, input2, sum); + + /* Reading two inputs, x[srcALen - srcBLen + 3] and x[srcALen - srcBLen + 4] of SrcA buffer and packing */ + in1 = (q15_t) * px++; + in2 = (q15_t) * px++; + input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U); + + /* Reading two inputs, y[srcBLen - 3] and y[srcBLen - 4] of SrcB buffer and packing */ + in1 = (q15_t) * py--; + in2 = (q15_t) * py--; + input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16U); + + /* sum += x[srcALen - srcBLen + 3] * y[srcBLen - 3] */ + /* sum += x[srcALen - srcBLen + 4] * y[srcBLen - 4] */ + sum = __SMLAD(input1, input2, sum); + + /* Decrement the loop counter */ + k--; + } + + /* If the blockSize3 is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = blockSize3 % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum += ((q15_t) * px++ * *py--); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut++ = (q7_t) (__SSAT(sum >> 7U, 8)); + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = ++pSrc1; + py = pSrc2; + + /* Decrement the loop counter */ + blockSize3--; + } + +#else + + /* Run the below code for Cortex-M0 */ + + q7_t *pIn1 = pSrcA; /* input pointer */ + q7_t *pIn2 = pSrcB; /* coefficient pointer */ + q31_t sum; /* Accumulator */ + uint32_t i, j; /* loop counter */ + + /* Loop to calculate output of convolution for output length number of times */ + for (i = 0; i < (srcALen + srcBLen - 1); i++) + { + /* Initialize sum with zero to carry on MAC operations */ + sum = 0; + + /* Loop to perform MAC operations according to convolution equation */ + for (j = 0; j <= i; j++) + { + /* Check the array limitations */ + if (((i - j) < srcBLen) && (j < srcALen)) + { + /* z[i] += x[i-j] * y[j] */ + sum += (q15_t) pIn1[j] * (pIn2[i - j]); + } + } + + /* Store the output in the destination buffer */ + pDst[i] = (q7_t) __SSAT((sum >> 7U), 8U); + } + +#endif /* #if defined (ARM_MATH_DSP) */ + +} + +/** + * @} end of Conv group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_f32.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_f32.c new file mode 100644 index 0000000..9451887 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_f32.c @@ -0,0 +1,727 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_correlate_f32.c + * Description: Correlation of floating-point sequences + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupFilters + */ + +/** + * @defgroup Corr Correlation + * + * Correlation is a mathematical operation that is similar to convolution. + * As with convolution, correlation uses two signals to produce a third signal. + * The underlying algorithms in correlation and convolution are identical except that one of the inputs is flipped in convolution. + * Correlation is commonly used to measure the similarity between two signals. + * It has applications in pattern recognition, cryptanalysis, and searching. + * The CMSIS library provides correlation functions for Q7, Q15, Q31 and floating-point data types. + * Fast versions of the Q15 and Q31 functions are also provided. + * + * \par Algorithm + * Let a[n] and b[n] be sequences of length srcALen and srcBLen samples respectively. + * The convolution of the two signals is denoted by + *
+ *                   c[n] = a[n] * b[n]
+ * 
+ * In correlation, one of the signals is flipped in time + *
+ *                   c[n] = a[n] * b[-n]
+ * 
+ * + * \par + * and this is mathematically defined as + * \image html CorrelateEquation.gif + * \par + * The pSrcA points to the first input vector of length srcALen and pSrcB points to the second input vector of length srcBLen. + * The result c[n] is of length 2 * max(srcALen, srcBLen) - 1 and is defined over the interval n=0, 1, 2, ..., (2 * max(srcALen, srcBLen) - 2). + * The output result is written to pDst and the calling function must allocate 2 * max(srcALen, srcBLen) - 1 words for the result. + * + * Note + * \par + * The pDst should be initialized to all zeros before being used. + * + * Fixed-Point Behavior + * \par + * Correlation requires summing up a large number of intermediate products. + * As such, the Q7, Q15, and Q31 functions run a risk of overflow and saturation. + * Refer to the function specific documentation below for further details of the particular algorithm used. + * + * + * Fast Versions + * + * \par + * Fast versions are supported for Q31 and Q15. Cycles for Fast versions are less compared to Q31 and Q15 of correlate and the design requires + * the input signals should be scaled down to avoid intermediate overflows. + * + * + * Opt Versions + * + * \par + * Opt versions are supported for Q15 and Q7. Design uses internal scratch buffer for getting good optimisation. + * These versions are optimised in cycles and consumes more memory(Scratch memory) compared to Q15 and Q7 versions of correlate + */ + +/** + * @addtogroup Corr + * @{ + */ +/** + * @brief Correlation of floating-point sequences. + * @param[in] *pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] *pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] *pDst points to the location where the output result is written. Length 2 * max(srcALen, srcBLen) - 1. + * @return none. + */ + +void arm_correlate_f32( + float32_t * pSrcA, + uint32_t srcALen, + float32_t * pSrcB, + uint32_t srcBLen, + float32_t * pDst) +{ + + +#if defined (ARM_MATH_DSP) + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + float32_t *pIn1; /* inputA pointer */ + float32_t *pIn2; /* inputB pointer */ + float32_t *pOut = pDst; /* output pointer */ + float32_t *px; /* Intermediate inputA pointer */ + float32_t *py; /* Intermediate inputB pointer */ + float32_t *pSrc1; /* Intermediate pointers */ + float32_t sum, acc0, acc1, acc2, acc3; /* Accumulators */ + float32_t x0, x1, x2, x3, c0; /* temporary variables for holding input and coefficient values */ + uint32_t j, k = 0U, count, blkCnt, outBlockSize, blockSize1, blockSize2, blockSize3; /* loop counters */ + int32_t inc = 1; /* Destination address modifier */ + + + /* The algorithm implementation is based on the lengths of the inputs. */ + /* srcB is always made to slide across srcA. */ + /* So srcBLen is always considered as shorter or equal to srcALen */ + /* But CORR(x, y) is reverse of CORR(y, x) */ + /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */ + /* and the destination pointer modifier, inc is set to -1 */ + /* If srcALen > srcBLen, zero pad has to be done to srcB to make the two inputs of same length */ + /* But to improve the performance, + * we assume zeroes in the output instead of zero padding either of the the inputs*/ + /* If srcALen > srcBLen, + * (srcALen - srcBLen) zeroes has to included in the starting of the output buffer */ + /* If srcALen < srcBLen, + * (srcALen - srcBLen) zeroes has to included in the ending of the output buffer */ + if (srcALen >= srcBLen) + { + /* Initialization of inputA pointer */ + pIn1 = pSrcA; + + /* Initialization of inputB pointer */ + pIn2 = pSrcB; + + /* Number of output samples is calculated */ + outBlockSize = (2U * srcALen) - 1U; + + /* When srcALen > srcBLen, zero padding has to be done to srcB + * to make their lengths equal. + * Instead, (outBlockSize - (srcALen + srcBLen - 1)) + * number of output samples are made zero */ + j = outBlockSize - (srcALen + (srcBLen - 1U)); + + /* Updating the pointer position to non zero value */ + pOut += j; + + //while (j > 0U) + //{ + // /* Zero is stored in the destination buffer */ + // *pOut++ = 0.0f; + + // /* Decrement the loop counter */ + // j--; + //} + + } + else + { + /* Initialization of inputA pointer */ + pIn1 = pSrcB; + + /* Initialization of inputB pointer */ + pIn2 = pSrcA; + + /* srcBLen is always considered as shorter or equal to srcALen */ + j = srcBLen; + srcBLen = srcALen; + srcALen = j; + + /* CORR(x, y) = Reverse order(CORR(y, x)) */ + /* Hence set the destination pointer to point to the last output sample */ + pOut = pDst + ((srcALen + srcBLen) - 2U); + + /* Destination address modifier is set to -1 */ + inc = -1; + + } + + /* The function is internally + * divided into three parts according to the number of multiplications that has to be + * taken place between inputA samples and inputB samples. In the first part of the + * algorithm, the multiplications increase by one for every iteration. + * In the second part of the algorithm, srcBLen number of multiplications are done. + * In the third part of the algorithm, the multiplications decrease by one + * for every iteration.*/ + /* The algorithm is implemented in three stages. + * The loop counters of each stage is initiated here. */ + blockSize1 = srcBLen - 1U; + blockSize2 = srcALen - (srcBLen - 1U); + blockSize3 = blockSize1; + + /* -------------------------- + * Initializations of stage1 + * -------------------------*/ + + /* sum = x[0] * y[srcBlen - 1] + * sum = x[0] * y[srcBlen-2] + x[1] * y[srcBlen - 1] + * .... + * sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen - 1] * y[srcBLen - 1] + */ + + /* In this stage the MAC operations are increased by 1 for every iteration. + The count variable holds the number of MAC operations performed */ + count = 1U; + + /* Working pointer of inputA */ + px = pIn1; + + /* Working pointer of inputB */ + pSrc1 = pIn2 + (srcBLen - 1U); + py = pSrc1; + + /* ------------------------ + * Stage1 process + * ----------------------*/ + + /* The first stage starts here */ + while (blockSize1 > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0.0f; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = count >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* x[0] * y[srcBLen - 4] */ + sum += *px++ * *py++; + /* x[1] * y[srcBLen - 3] */ + sum += *px++ * *py++; + /* x[2] * y[srcBLen - 2] */ + sum += *px++ * *py++; + /* x[3] * y[srcBLen - 1] */ + sum += *px++ * *py++; + + /* Decrement the loop counter */ + k--; + } + + /* If the count is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = count % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + /* x[0] * y[srcBLen - 1] */ + sum += *px++ * *py++; + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut = sum; + /* Destination pointer is updated according to the address modifier, inc */ + pOut += inc; + + /* Update the inputA and inputB pointers for next MAC calculation */ + py = pSrc1 - count; + px = pIn1; + + /* Increment the MAC count */ + count++; + + /* Decrement the loop counter */ + blockSize1--; + } + + /* -------------------------- + * Initializations of stage2 + * ------------------------*/ + + /* sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen-1] * y[srcBLen-1] + * sum = x[1] * y[0] + x[2] * y[1] +...+ x[srcBLen] * y[srcBLen-1] + * .... + * sum = x[srcALen-srcBLen-2] * y[0] + x[srcALen-srcBLen-1] * y[1] +...+ x[srcALen-1] * y[srcBLen-1] + */ + + /* Working pointer of inputA */ + px = pIn1; + + /* Working pointer of inputB */ + py = pIn2; + + /* count is index by which the pointer pIn1 to be incremented */ + count = 0U; + + /* ------------------- + * Stage2 process + * ------------------*/ + + /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed. + * So, to loop unroll over blockSize2, + * srcBLen should be greater than or equal to 4, to loop unroll the srcBLen loop */ + if (srcBLen >= 4U) + { + /* Loop unroll over blockSize2, by 4 */ + blkCnt = blockSize2 >> 2U; + + while (blkCnt > 0U) + { + /* Set all accumulators to zero */ + acc0 = 0.0f; + acc1 = 0.0f; + acc2 = 0.0f; + acc3 = 0.0f; + + /* read x[0], x[1], x[2] samples */ + x0 = *(px++); + x1 = *(px++); + x2 = *(px++); + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = srcBLen >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + do + { + /* Read y[0] sample */ + c0 = *(py++); + + /* Read x[3] sample */ + x3 = *(px++); + + /* Perform the multiply-accumulate */ + /* acc0 += x[0] * y[0] */ + acc0 += x0 * c0; + /* acc1 += x[1] * y[0] */ + acc1 += x1 * c0; + /* acc2 += x[2] * y[0] */ + acc2 += x2 * c0; + /* acc3 += x[3] * y[0] */ + acc3 += x3 * c0; + + /* Read y[1] sample */ + c0 = *(py++); + + /* Read x[4] sample */ + x0 = *(px++); + + /* Perform the multiply-accumulate */ + /* acc0 += x[1] * y[1] */ + acc0 += x1 * c0; + /* acc1 += x[2] * y[1] */ + acc1 += x2 * c0; + /* acc2 += x[3] * y[1] */ + acc2 += x3 * c0; + /* acc3 += x[4] * y[1] */ + acc3 += x0 * c0; + + /* Read y[2] sample */ + c0 = *(py++); + + /* Read x[5] sample */ + x1 = *(px++); + + /* Perform the multiply-accumulates */ + /* acc0 += x[2] * y[2] */ + acc0 += x2 * c0; + /* acc1 += x[3] * y[2] */ + acc1 += x3 * c0; + /* acc2 += x[4] * y[2] */ + acc2 += x0 * c0; + /* acc3 += x[5] * y[2] */ + acc3 += x1 * c0; + + /* Read y[3] sample */ + c0 = *(py++); + + /* Read x[6] sample */ + x2 = *(px++); + + /* Perform the multiply-accumulates */ + /* acc0 += x[3] * y[3] */ + acc0 += x3 * c0; + /* acc1 += x[4] * y[3] */ + acc1 += x0 * c0; + /* acc2 += x[5] * y[3] */ + acc2 += x1 * c0; + /* acc3 += x[6] * y[3] */ + acc3 += x2 * c0; + + + } while (--k); + + /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = srcBLen % 0x4U; + + while (k > 0U) + { + /* Read y[4] sample */ + c0 = *(py++); + + /* Read x[7] sample */ + x3 = *(px++); + + /* Perform the multiply-accumulates */ + /* acc0 += x[4] * y[4] */ + acc0 += x0 * c0; + /* acc1 += x[5] * y[4] */ + acc1 += x1 * c0; + /* acc2 += x[6] * y[4] */ + acc2 += x2 * c0; + /* acc3 += x[7] * y[4] */ + acc3 += x3 * c0; + + /* Reuse the present samples for the next MAC */ + x0 = x1; + x1 = x2; + x2 = x3; + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut = acc0; + /* Destination pointer is updated according to the address modifier, inc */ + pOut += inc; + + *pOut = acc1; + pOut += inc; + + *pOut = acc2; + pOut += inc; + + *pOut = acc3; + pOut += inc; + + /* Increment the pointer pIn1 index, count by 4 */ + count += 4U; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pIn2; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize2 % 0x4U; + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0.0f; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = srcBLen >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum += *px++ * *py++; + sum += *px++ * *py++; + sum += *px++ * *py++; + sum += *px++ * *py++; + + /* Decrement the loop counter */ + k--; + } + + /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = srcBLen % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum += *px++ * *py++; + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut = sum; + /* Destination pointer is updated according to the address modifier, inc */ + pOut += inc; + + /* Increment the pointer pIn1 index, count by 1 */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pIn2; + + /* Decrement the loop counter */ + blkCnt--; + } + } + else + { + /* If the srcBLen is not a multiple of 4, + * the blockSize2 loop cannot be unrolled by 4 */ + blkCnt = blockSize2; + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0.0f; + + /* Loop over srcBLen */ + k = srcBLen; + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum += *px++ * *py++; + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut = sum; + /* Destination pointer is updated according to the address modifier, inc */ + pOut += inc; + + /* Increment the pointer pIn1 index, count by 1 */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pIn2; + + /* Decrement the loop counter */ + blkCnt--; + } + } + + /* -------------------------- + * Initializations of stage3 + * -------------------------*/ + + /* sum += x[srcALen-srcBLen+1] * y[0] + x[srcALen-srcBLen+2] * y[1] +...+ x[srcALen-1] * y[srcBLen-1] + * sum += x[srcALen-srcBLen+2] * y[0] + x[srcALen-srcBLen+3] * y[1] +...+ x[srcALen-1] * y[srcBLen-1] + * .... + * sum += x[srcALen-2] * y[0] + x[srcALen-1] * y[1] + * sum += x[srcALen-1] * y[0] + */ + + /* In this stage the MAC operations are decreased by 1 for every iteration. + The count variable holds the number of MAC operations performed */ + count = srcBLen - 1U; + + /* Working pointer of inputA */ + pSrc1 = pIn1 + (srcALen - (srcBLen - 1U)); + px = pSrc1; + + /* Working pointer of inputB */ + py = pIn2; + + /* ------------------- + * Stage3 process + * ------------------*/ + + while (blockSize3 > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0.0f; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = count >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* Perform the multiply-accumulates */ + /* sum += x[srcALen - srcBLen + 4] * y[3] */ + sum += *px++ * *py++; + /* sum += x[srcALen - srcBLen + 3] * y[2] */ + sum += *px++ * *py++; + /* sum += x[srcALen - srcBLen + 2] * y[1] */ + sum += *px++ * *py++; + /* sum += x[srcALen - srcBLen + 1] * y[0] */ + sum += *px++ * *py++; + + /* Decrement the loop counter */ + k--; + } + + /* If the count is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = count % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum += *px++ * *py++; + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut = sum; + /* Destination pointer is updated according to the address modifier, inc */ + pOut += inc; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = ++pSrc1; + py = pIn2; + + /* Decrement the MAC count */ + count--; + + /* Decrement the loop counter */ + blockSize3--; + } + +#else + + /* Run the below code for Cortex-M0 */ + + float32_t *pIn1 = pSrcA; /* inputA pointer */ + float32_t *pIn2 = pSrcB + (srcBLen - 1U); /* inputB pointer */ + float32_t sum; /* Accumulator */ + uint32_t i = 0U, j; /* loop counters */ + uint32_t inv = 0U; /* Reverse order flag */ + uint32_t tot = 0U; /* Length */ + + /* The algorithm implementation is based on the lengths of the inputs. */ + /* srcB is always made to slide across srcA. */ + /* So srcBLen is always considered as shorter or equal to srcALen */ + /* But CORR(x, y) is reverse of CORR(y, x) */ + /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */ + /* and a varaible, inv is set to 1 */ + /* If lengths are not equal then zero pad has to be done to make the two + * inputs of same length. But to improve the performance, we assume zeroes + * in the output instead of zero padding either of the the inputs*/ + /* If srcALen > srcBLen, (srcALen - srcBLen) zeroes has to included in the + * starting of the output buffer */ + /* If srcALen < srcBLen, (srcALen - srcBLen) zeroes has to included in the + * ending of the output buffer */ + /* Once the zero padding is done the remaining of the output is calcualted + * using convolution but with the shorter signal time shifted. */ + + /* Calculate the length of the remaining sequence */ + tot = ((srcALen + srcBLen) - 2U); + + if (srcALen > srcBLen) + { + /* Calculating the number of zeros to be padded to the output */ + j = srcALen - srcBLen; + + /* Initialise the pointer after zero padding */ + pDst += j; + } + + else if (srcALen < srcBLen) + { + /* Initialization to inputB pointer */ + pIn1 = pSrcB; + + /* Initialization to the end of inputA pointer */ + pIn2 = pSrcA + (srcALen - 1U); + + /* Initialisation of the pointer after zero padding */ + pDst = pDst + tot; + + /* Swapping the lengths */ + j = srcALen; + srcALen = srcBLen; + srcBLen = j; + + /* Setting the reverse flag */ + inv = 1; + + } + + /* Loop to calculate convolution for output length number of times */ + for (i = 0U; i <= tot; i++) + { + /* Initialize sum with zero to carry on MAC operations */ + sum = 0.0f; + + /* Loop to perform MAC operations according to convolution equation */ + for (j = 0U; j <= i; j++) + { + /* Check the array limitations */ + if ((((i - j) < srcBLen) && (j < srcALen))) + { + /* z[i] += x[i-j] * y[j] */ + sum += pIn1[j] * pIn2[-((int32_t) i - j)]; + } + } + /* Store the output in the destination buffer */ + if (inv == 1) + *pDst-- = sum; + else + *pDst++ = sum; + } + +#endif /* #if defined (ARM_MATH_DSP) */ + +} + +/** + * @} end of Corr group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_fast_opt_q15.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_fast_opt_q15.c new file mode 100644 index 0000000..baebc49 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_fast_opt_q15.c @@ -0,0 +1,500 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_correlate_fast_opt_q15.c + * Description: Fast Q15 Correlation + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupFilters + */ + +/** + * @addtogroup Corr + * @{ + */ + +/** + * @brief Correlation of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4. + * @param[in] *pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] *pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] *pDst points to the location where the output result is written. Length 2 * max(srcALen, srcBLen) - 1. + * @param[in] *pScratch points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2. + * @return none. + * + * + * \par Restrictions + * If the silicon does not support unaligned memory access enable the macro UNALIGNED_SUPPORT_DISABLE + * In this case input, output, scratch buffers should be aligned by 32-bit + * + * + * Scaling and Overflow Behavior: + * + * \par + * This fast version uses a 32-bit accumulator with 2.30 format. + * The accumulator maintains full precision of the intermediate multiplication results but provides only a single guard bit. + * There is no saturation on intermediate additions. + * Thus, if the accumulator overflows it wraps around and distorts the result. + * The input signals should be scaled down to avoid intermediate overflows. + * Scale down one of the inputs by 1/min(srcALen, srcBLen) to avoid overflow since a + * maximum of min(srcALen, srcBLen) number of additions is carried internally. + * The 2.30 accumulator is right shifted by 15 bits and then saturated to 1.15 format to yield the final result. + * + * \par + * See arm_correlate_q15() for a slower implementation of this function which uses a 64-bit accumulator to avoid wrap around distortion. + */ + +void arm_correlate_fast_opt_q15( + q15_t * pSrcA, + uint32_t srcALen, + q15_t * pSrcB, + uint32_t srcBLen, + q15_t * pDst, + q15_t * pScratch) +{ + q15_t *pIn1; /* inputA pointer */ + q15_t *pIn2; /* inputB pointer */ + q31_t acc0, acc1, acc2, acc3; /* Accumulators */ + q15_t *py; /* Intermediate inputB pointer */ + q31_t x1, x2, x3; /* temporary variables for holding input and coefficient values */ + uint32_t j, blkCnt, outBlockSize; /* loop counter */ + int32_t inc = 1; /* Destination address modifier */ + uint32_t tapCnt; + q31_t y1, y2; + q15_t *pScr; /* Intermediate pointers */ + q15_t *pOut = pDst; /* output pointer */ +#ifdef UNALIGNED_SUPPORT_DISABLE + + q15_t a, b; + +#endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */ + + /* The algorithm implementation is based on the lengths of the inputs. */ + /* srcB is always made to slide across srcA. */ + /* So srcBLen is always considered as shorter or equal to srcALen */ + /* But CORR(x, y) is reverse of CORR(y, x) */ + /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */ + /* and the destination pointer modifier, inc is set to -1 */ + /* If srcALen > srcBLen, zero pad has to be done to srcB to make the two inputs of same length */ + /* But to improve the performance, + * we include zeroes in the output instead of zero padding either of the the inputs*/ + /* If srcALen > srcBLen, + * (srcALen - srcBLen) zeroes has to included in the starting of the output buffer */ + /* If srcALen < srcBLen, + * (srcALen - srcBLen) zeroes has to included in the ending of the output buffer */ + if (srcALen >= srcBLen) + { + /* Initialization of inputA pointer */ + pIn1 = (pSrcA); + + /* Initialization of inputB pointer */ + pIn2 = (pSrcB); + + /* Number of output samples is calculated */ + outBlockSize = (2U * srcALen) - 1U; + + /* When srcALen > srcBLen, zero padding is done to srcB + * to make their lengths equal. + * Instead, (outBlockSize - (srcALen + srcBLen - 1)) + * number of output samples are made zero */ + j = outBlockSize - (srcALen + (srcBLen - 1U)); + + /* Updating the pointer position to non zero value */ + pOut += j; + + } + else + { + /* Initialization of inputA pointer */ + pIn1 = (pSrcB); + + /* Initialization of inputB pointer */ + pIn2 = (pSrcA); + + /* srcBLen is always considered as shorter or equal to srcALen */ + j = srcBLen; + srcBLen = srcALen; + srcALen = j; + + /* CORR(x, y) = Reverse order(CORR(y, x)) */ + /* Hence set the destination pointer to point to the last output sample */ + pOut = pDst + ((srcALen + srcBLen) - 2U); + + /* Destination address modifier is set to -1 */ + inc = -1; + + } + + pScr = pScratch; + + /* Fill (srcBLen - 1U) zeros in scratch buffer */ + arm_fill_q15(0, pScr, (srcBLen - 1U)); + + /* Update temporary scratch pointer */ + pScr += (srcBLen - 1U); + +#ifndef UNALIGNED_SUPPORT_DISABLE + + /* Copy (srcALen) samples in scratch buffer */ + arm_copy_q15(pIn1, pScr, srcALen); + + /* Update pointers */ + pScr += srcALen; + +#else + + /* Apply loop unrolling and do 4 Copies simultaneously. */ + j = srcALen >> 2U; + + /* First part of the processing with loop unrolling copies 4 data points at a time. + ** a second loop below copies for the remaining 1 to 3 samples. */ + while (j > 0U) + { + /* copy second buffer in reversal manner */ + *pScr++ = *pIn1++; + *pScr++ = *pIn1++; + *pScr++ = *pIn1++; + *pScr++ = *pIn1++; + + /* Decrement the loop counter */ + j--; + } + + /* If the count is not a multiple of 4, copy remaining samples here. + ** No loop unrolling is used. */ + j = srcALen % 0x4U; + + while (j > 0U) + { + /* copy second buffer in reversal manner for remaining samples */ + *pScr++ = *pIn1++; + + /* Decrement the loop counter */ + j--; + } + +#endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */ + +#ifndef UNALIGNED_SUPPORT_DISABLE + + /* Fill (srcBLen - 1U) zeros at end of scratch buffer */ + arm_fill_q15(0, pScr, (srcBLen - 1U)); + + /* Update pointer */ + pScr += (srcBLen - 1U); + +#else + +/* Apply loop unrolling and do 4 Copies simultaneously. */ + j = (srcBLen - 1U) >> 2U; + + /* First part of the processing with loop unrolling copies 4 data points at a time. + ** a second loop below copies for the remaining 1 to 3 samples. */ + while (j > 0U) + { + /* copy second buffer in reversal manner */ + *pScr++ = 0; + *pScr++ = 0; + *pScr++ = 0; + *pScr++ = 0; + + /* Decrement the loop counter */ + j--; + } + + /* If the count is not a multiple of 4, copy remaining samples here. + ** No loop unrolling is used. */ + j = (srcBLen - 1U) % 0x4U; + + while (j > 0U) + { + /* copy second buffer in reversal manner for remaining samples */ + *pScr++ = 0; + + /* Decrement the loop counter */ + j--; + } + +#endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */ + + /* Temporary pointer for scratch2 */ + py = pIn2; + + + /* Actual correlation process starts here */ + blkCnt = (srcALen + srcBLen - 1U) >> 2; + + while (blkCnt > 0) + { + /* Initialze temporary scratch pointer as scratch1 */ + pScr = pScratch; + + /* Clear Accumlators */ + acc0 = 0; + acc1 = 0; + acc2 = 0; + acc3 = 0; + + /* Read four samples from scratch1 buffer */ + x1 = *__SIMD32(pScr)++; + + /* Read next four samples from scratch1 buffer */ + x2 = *__SIMD32(pScr)++; + + tapCnt = (srcBLen) >> 2U; + + while (tapCnt > 0U) + { + +#ifndef UNALIGNED_SUPPORT_DISABLE + + /* Read four samples from smaller buffer */ + y1 = _SIMD32_OFFSET(pIn2); + y2 = _SIMD32_OFFSET(pIn2 + 2U); + + acc0 = __SMLAD(x1, y1, acc0); + + acc2 = __SMLAD(x2, y1, acc2); + +#ifndef ARM_MATH_BIG_ENDIAN + x3 = __PKHBT(x2, x1, 0); +#else + x3 = __PKHBT(x1, x2, 0); +#endif + + acc1 = __SMLADX(x3, y1, acc1); + + x1 = _SIMD32_OFFSET(pScr); + + acc0 = __SMLAD(x2, y2, acc0); + + acc2 = __SMLAD(x1, y2, acc2); + +#ifndef ARM_MATH_BIG_ENDIAN + x3 = __PKHBT(x1, x2, 0); +#else + x3 = __PKHBT(x2, x1, 0); +#endif + + acc3 = __SMLADX(x3, y1, acc3); + + acc1 = __SMLADX(x3, y2, acc1); + + x2 = _SIMD32_OFFSET(pScr + 2U); + +#ifndef ARM_MATH_BIG_ENDIAN + x3 = __PKHBT(x2, x1, 0); +#else + x3 = __PKHBT(x1, x2, 0); +#endif + + acc3 = __SMLADX(x3, y2, acc3); +#else + + /* Read four samples from smaller buffer */ + a = *pIn2; + b = *(pIn2 + 1); + +#ifndef ARM_MATH_BIG_ENDIAN + y1 = __PKHBT(a, b, 16); +#else + y1 = __PKHBT(b, a, 16); +#endif + + a = *(pIn2 + 2); + b = *(pIn2 + 3); +#ifndef ARM_MATH_BIG_ENDIAN + y2 = __PKHBT(a, b, 16); +#else + y2 = __PKHBT(b, a, 16); +#endif + + acc0 = __SMLAD(x1, y1, acc0); + + acc2 = __SMLAD(x2, y1, acc2); + +#ifndef ARM_MATH_BIG_ENDIAN + x3 = __PKHBT(x2, x1, 0); +#else + x3 = __PKHBT(x1, x2, 0); +#endif + + acc1 = __SMLADX(x3, y1, acc1); + + a = *pScr; + b = *(pScr + 1); + +#ifndef ARM_MATH_BIG_ENDIAN + x1 = __PKHBT(a, b, 16); +#else + x1 = __PKHBT(b, a, 16); +#endif + + acc0 = __SMLAD(x2, y2, acc0); + + acc2 = __SMLAD(x1, y2, acc2); + +#ifndef ARM_MATH_BIG_ENDIAN + x3 = __PKHBT(x1, x2, 0); +#else + x3 = __PKHBT(x2, x1, 0); +#endif + + acc3 = __SMLADX(x3, y1, acc3); + + acc1 = __SMLADX(x3, y2, acc1); + + a = *(pScr + 2); + b = *(pScr + 3); + +#ifndef ARM_MATH_BIG_ENDIAN + x2 = __PKHBT(a, b, 16); +#else + x2 = __PKHBT(b, a, 16); +#endif + +#ifndef ARM_MATH_BIG_ENDIAN + x3 = __PKHBT(x2, x1, 0); +#else + x3 = __PKHBT(x1, x2, 0); +#endif + + acc3 = __SMLADX(x3, y2, acc3); + +#endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */ + + pIn2 += 4U; + + pScr += 4U; + + + /* Decrement the loop counter */ + tapCnt--; + } + + + + /* Update scratch pointer for remaining samples of smaller length sequence */ + pScr -= 4U; + + + /* apply same above for remaining samples of smaller length sequence */ + tapCnt = (srcBLen) & 3U; + + while (tapCnt > 0U) + { + + /* accumlate the results */ + acc0 += (*pScr++ * *pIn2); + acc1 += (*pScr++ * *pIn2); + acc2 += (*pScr++ * *pIn2); + acc3 += (*pScr++ * *pIn2++); + + pScr -= 3U; + + /* Decrement the loop counter */ + tapCnt--; + } + + blkCnt--; + + + /* Store the results in the accumulators in the destination buffer. */ + *pOut = (__SSAT(acc0 >> 15U, 16)); + pOut += inc; + *pOut = (__SSAT(acc1 >> 15U, 16)); + pOut += inc; + *pOut = (__SSAT(acc2 >> 15U, 16)); + pOut += inc; + *pOut = (__SSAT(acc3 >> 15U, 16)); + pOut += inc; + + + /* Initialization of inputB pointer */ + pIn2 = py; + + pScratch += 4U; + + } + + + blkCnt = (srcALen + srcBLen - 1U) & 0x3; + + /* Calculate correlation for remaining samples of Bigger length sequence */ + while (blkCnt > 0) + { + /* Initialze temporary scratch pointer as scratch1 */ + pScr = pScratch; + + /* Clear Accumlators */ + acc0 = 0; + + tapCnt = (srcBLen) >> 1U; + + while (tapCnt > 0U) + { + + acc0 += (*pScr++ * *pIn2++); + acc0 += (*pScr++ * *pIn2++); + + /* Decrement the loop counter */ + tapCnt--; + } + + tapCnt = (srcBLen) & 1U; + + /* apply same above for remaining samples of smaller length sequence */ + while (tapCnt > 0U) + { + + /* accumlate the results */ + acc0 += (*pScr++ * *pIn2++); + + /* Decrement the loop counter */ + tapCnt--; + } + + blkCnt--; + + /* Store the result in the accumulator in the destination buffer. */ + + *pOut = (q15_t) (__SSAT((acc0 >> 15), 16)); + + pOut += inc; + + /* Initialization of inputB pointer */ + pIn2 = py; + + pScratch += 1U; + + } +} + +/** + * @} end of Corr group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_fast_q15.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_fast_q15.c new file mode 100644 index 0000000..7b676d0 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_fast_q15.c @@ -0,0 +1,1307 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_correlate_fast_q15.c + * Description: Fast Q15 Correlation + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupFilters + */ + +/** + * @addtogroup Corr + * @{ + */ + +/** + * @brief Correlation of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4. + * @param[in] *pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] *pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] *pDst points to the location where the output result is written. Length 2 * max(srcALen, srcBLen) - 1. + * @return none. + * + * Scaling and Overflow Behavior: + * + * \par + * This fast version uses a 32-bit accumulator with 2.30 format. + * The accumulator maintains full precision of the intermediate multiplication results but provides only a single guard bit. + * There is no saturation on intermediate additions. + * Thus, if the accumulator overflows it wraps around and distorts the result. + * The input signals should be scaled down to avoid intermediate overflows. + * Scale down one of the inputs by 1/min(srcALen, srcBLen) to avoid overflow since a + * maximum of min(srcALen, srcBLen) number of additions is carried internally. + * The 2.30 accumulator is right shifted by 15 bits and then saturated to 1.15 format to yield the final result. + * + * \par + * See arm_correlate_q15() for a slower implementation of this function which uses a 64-bit accumulator to avoid wrap around distortion. + */ + +void arm_correlate_fast_q15( + q15_t * pSrcA, + uint32_t srcALen, + q15_t * pSrcB, + uint32_t srcBLen, + q15_t * pDst) +{ +#ifndef UNALIGNED_SUPPORT_DISABLE + + q15_t *pIn1; /* inputA pointer */ + q15_t *pIn2; /* inputB pointer */ + q15_t *pOut = pDst; /* output pointer */ + q31_t sum, acc0, acc1, acc2, acc3; /* Accumulators */ + q15_t *px; /* Intermediate inputA pointer */ + q15_t *py; /* Intermediate inputB pointer */ + q15_t *pSrc1; /* Intermediate pointers */ + q31_t x0, x1, x2, x3, c0; /* temporary variables for holding input and coefficient values */ + uint32_t j, k = 0U, count, blkCnt, outBlockSize, blockSize1, blockSize2, blockSize3; /* loop counter */ + int32_t inc = 1; /* Destination address modifier */ + + + /* The algorithm implementation is based on the lengths of the inputs. */ + /* srcB is always made to slide across srcA. */ + /* So srcBLen is always considered as shorter or equal to srcALen */ + /* But CORR(x, y) is reverse of CORR(y, x) */ + /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */ + /* and the destination pointer modifier, inc is set to -1 */ + /* If srcALen > srcBLen, zero pad has to be done to srcB to make the two inputs of same length */ + /* But to improve the performance, + * we include zeroes in the output instead of zero padding either of the the inputs*/ + /* If srcALen > srcBLen, + * (srcALen - srcBLen) zeroes has to included in the starting of the output buffer */ + /* If srcALen < srcBLen, + * (srcALen - srcBLen) zeroes has to included in the ending of the output buffer */ + if (srcALen >= srcBLen) + { + /* Initialization of inputA pointer */ + pIn1 = (pSrcA); + + /* Initialization of inputB pointer */ + pIn2 = (pSrcB); + + /* Number of output samples is calculated */ + outBlockSize = (2U * srcALen) - 1U; + + /* When srcALen > srcBLen, zero padding is done to srcB + * to make their lengths equal. + * Instead, (outBlockSize - (srcALen + srcBLen - 1)) + * number of output samples are made zero */ + j = outBlockSize - (srcALen + (srcBLen - 1U)); + + /* Updating the pointer position to non zero value */ + pOut += j; + + } + else + { + /* Initialization of inputA pointer */ + pIn1 = (pSrcB); + + /* Initialization of inputB pointer */ + pIn2 = (pSrcA); + + /* srcBLen is always considered as shorter or equal to srcALen */ + j = srcBLen; + srcBLen = srcALen; + srcALen = j; + + /* CORR(x, y) = Reverse order(CORR(y, x)) */ + /* Hence set the destination pointer to point to the last output sample */ + pOut = pDst + ((srcALen + srcBLen) - 2U); + + /* Destination address modifier is set to -1 */ + inc = -1; + + } + + /* The function is internally + * divided into three parts according to the number of multiplications that has to be + * taken place between inputA samples and inputB samples. In the first part of the + * algorithm, the multiplications increase by one for every iteration. + * In the second part of the algorithm, srcBLen number of multiplications are done. + * In the third part of the algorithm, the multiplications decrease by one + * for every iteration.*/ + /* The algorithm is implemented in three stages. + * The loop counters of each stage is initiated here. */ + blockSize1 = srcBLen - 1U; + blockSize2 = srcALen - (srcBLen - 1U); + blockSize3 = blockSize1; + + /* -------------------------- + * Initializations of stage1 + * -------------------------*/ + + /* sum = x[0] * y[srcBlen - 1] + * sum = x[0] * y[srcBlen - 2] + x[1] * y[srcBlen - 1] + * .... + * sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen - 1] * y[srcBLen - 1] + */ + + /* In this stage the MAC operations are increased by 1 for every iteration. + The count variable holds the number of MAC operations performed */ + count = 1U; + + /* Working pointer of inputA */ + px = pIn1; + + /* Working pointer of inputB */ + pSrc1 = pIn2 + (srcBLen - 1U); + py = pSrc1; + + /* ------------------------ + * Stage1 process + * ----------------------*/ + + /* The first loop starts here */ + while (blockSize1 > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = count >> 2; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* x[0] * y[srcBLen - 4] , x[1] * y[srcBLen - 3] */ + sum = __SMLAD(*__SIMD32(px)++, *__SIMD32(py)++, sum); + /* x[3] * y[srcBLen - 1] , x[2] * y[srcBLen - 2] */ + sum = __SMLAD(*__SIMD32(px)++, *__SIMD32(py)++, sum); + + /* Decrement the loop counter */ + k--; + } + + /* If the count is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = count % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + /* x[0] * y[srcBLen - 1] */ + sum = __SMLAD(*px++, *py++, sum); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut = (q15_t) (sum >> 15); + /* Destination pointer is updated according to the address modifier, inc */ + pOut += inc; + + /* Update the inputA and inputB pointers for next MAC calculation */ + py = pSrc1 - count; + px = pIn1; + + /* Increment the MAC count */ + count++; + + /* Decrement the loop counter */ + blockSize1--; + } + + /* -------------------------- + * Initializations of stage2 + * ------------------------*/ + + /* sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen-1] * y[srcBLen-1] + * sum = x[1] * y[0] + x[2] * y[1] +...+ x[srcBLen] * y[srcBLen-1] + * .... + * sum = x[srcALen-srcBLen-2] * y[0] + x[srcALen-srcBLen-1] * y[1] +...+ x[srcALen-1] * y[srcBLen-1] + */ + + /* Working pointer of inputA */ + px = pIn1; + + /* Working pointer of inputB */ + py = pIn2; + + /* count is index by which the pointer pIn1 to be incremented */ + count = 0U; + + /* ------------------- + * Stage2 process + * ------------------*/ + + /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed. + * So, to loop unroll over blockSize2, + * srcBLen should be greater than or equal to 4, to loop unroll the srcBLen loop */ + if (srcBLen >= 4U) + { + /* Loop unroll over blockSize2, by 4 */ + blkCnt = blockSize2 >> 2U; + + while (blkCnt > 0U) + { + /* Set all accumulators to zero */ + acc0 = 0; + acc1 = 0; + acc2 = 0; + acc3 = 0; + + /* read x[0], x[1] samples */ + x0 = *__SIMD32(px); + /* read x[1], x[2] samples */ + x1 = _SIMD32_OFFSET(px + 1); + px += 2U; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = srcBLen >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + do + { + /* Read the first two inputB samples using SIMD: + * y[0] and y[1] */ + c0 = *__SIMD32(py)++; + + /* acc0 += x[0] * y[0] + x[1] * y[1] */ + acc0 = __SMLAD(x0, c0, acc0); + + /* acc1 += x[1] * y[0] + x[2] * y[1] */ + acc1 = __SMLAD(x1, c0, acc1); + + /* Read x[2], x[3] */ + x2 = *__SIMD32(px); + + /* Read x[3], x[4] */ + x3 = _SIMD32_OFFSET(px + 1); + + /* acc2 += x[2] * y[0] + x[3] * y[1] */ + acc2 = __SMLAD(x2, c0, acc2); + + /* acc3 += x[3] * y[0] + x[4] * y[1] */ + acc3 = __SMLAD(x3, c0, acc3); + + /* Read y[2] and y[3] */ + c0 = *__SIMD32(py)++; + + /* acc0 += x[2] * y[2] + x[3] * y[3] */ + acc0 = __SMLAD(x2, c0, acc0); + + /* acc1 += x[3] * y[2] + x[4] * y[3] */ + acc1 = __SMLAD(x3, c0, acc1); + + /* Read x[4], x[5] */ + x0 = _SIMD32_OFFSET(px + 2); + + /* Read x[5], x[6] */ + x1 = _SIMD32_OFFSET(px + 3); + px += 4U; + + /* acc2 += x[4] * y[2] + x[5] * y[3] */ + acc2 = __SMLAD(x0, c0, acc2); + + /* acc3 += x[5] * y[2] + x[6] * y[3] */ + acc3 = __SMLAD(x1, c0, acc3); + + } while (--k); + + /* For the next MAC operations, SIMD is not used + * So, the 16 bit pointer if inputB, py is updated */ + + /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = srcBLen % 0x4U; + + if (k == 1U) + { + /* Read y[4] */ + c0 = *py; +#ifdef ARM_MATH_BIG_ENDIAN + + c0 = c0 << 16U; + +#else + + c0 = c0 & 0x0000FFFF; + +#endif /* #ifdef ARM_MATH_BIG_ENDIAN */ + + /* Read x[7] */ + x3 = *__SIMD32(px); + px++; + + /* Perform the multiply-accumulates */ + acc0 = __SMLAD(x0, c0, acc0); + acc1 = __SMLAD(x1, c0, acc1); + acc2 = __SMLADX(x1, c0, acc2); + acc3 = __SMLADX(x3, c0, acc3); + } + + if (k == 2U) + { + /* Read y[4], y[5] */ + c0 = *__SIMD32(py); + + /* Read x[7], x[8] */ + x3 = *__SIMD32(px); + + /* Read x[9] */ + x2 = _SIMD32_OFFSET(px + 1); + px += 2U; + + /* Perform the multiply-accumulates */ + acc0 = __SMLAD(x0, c0, acc0); + acc1 = __SMLAD(x1, c0, acc1); + acc2 = __SMLAD(x3, c0, acc2); + acc3 = __SMLAD(x2, c0, acc3); + } + + if (k == 3U) + { + /* Read y[4], y[5] */ + c0 = *__SIMD32(py)++; + + /* Read x[7], x[8] */ + x3 = *__SIMD32(px); + + /* Read x[9] */ + x2 = _SIMD32_OFFSET(px + 1); + + /* Perform the multiply-accumulates */ + acc0 = __SMLAD(x0, c0, acc0); + acc1 = __SMLAD(x1, c0, acc1); + acc2 = __SMLAD(x3, c0, acc2); + acc3 = __SMLAD(x2, c0, acc3); + + c0 = (*py); + /* Read y[6] */ +#ifdef ARM_MATH_BIG_ENDIAN + + c0 = c0 << 16U; +#else + + c0 = c0 & 0x0000FFFF; +#endif /* #ifdef ARM_MATH_BIG_ENDIAN */ + + /* Read x[10] */ + x3 = _SIMD32_OFFSET(px + 2); + px += 3U; + + /* Perform the multiply-accumulates */ + acc0 = __SMLADX(x1, c0, acc0); + acc1 = __SMLAD(x2, c0, acc1); + acc2 = __SMLADX(x2, c0, acc2); + acc3 = __SMLADX(x3, c0, acc3); + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut = (q15_t) (acc0 >> 15); + /* Destination pointer is updated according to the address modifier, inc */ + pOut += inc; + + *pOut = (q15_t) (acc1 >> 15); + pOut += inc; + + *pOut = (q15_t) (acc2 >> 15); + pOut += inc; + + *pOut = (q15_t) (acc3 >> 15); + pOut += inc; + + /* Increment the pointer pIn1 index, count by 1 */ + count += 4U; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pIn2; + + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize2 % 0x4U; + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = srcBLen >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum += ((q31_t) * px++ * *py++); + sum += ((q31_t) * px++ * *py++); + sum += ((q31_t) * px++ * *py++); + sum += ((q31_t) * px++ * *py++); + + /* Decrement the loop counter */ + k--; + } + + /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = srcBLen % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum += ((q31_t) * px++ * *py++); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut = (q15_t) (sum >> 15); + /* Destination pointer is updated according to the address modifier, inc */ + pOut += inc; + + /* Increment the pointer pIn1 index, count by 1 */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pIn2; + + /* Decrement the loop counter */ + blkCnt--; + } + } + else + { + /* If the srcBLen is not a multiple of 4, + * the blockSize2 loop cannot be unrolled by 4 */ + blkCnt = blockSize2; + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Loop over srcBLen */ + k = srcBLen; + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum += ((q31_t) * px++ * *py++); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut = (q15_t) (sum >> 15); + /* Destination pointer is updated according to the address modifier, inc */ + pOut += inc; + + /* Increment the MAC count */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pIn2; + + /* Decrement the loop counter */ + blkCnt--; + } + } + + /* -------------------------- + * Initializations of stage3 + * -------------------------*/ + + /* sum += x[srcALen-srcBLen+1] * y[0] + x[srcALen-srcBLen+2] * y[1] +...+ x[srcALen-1] * y[srcBLen-1] + * sum += x[srcALen-srcBLen+2] * y[0] + x[srcALen-srcBLen+3] * y[1] +...+ x[srcALen-1] * y[srcBLen-1] + * .... + * sum += x[srcALen-2] * y[0] + x[srcALen-1] * y[1] + * sum += x[srcALen-1] * y[0] + */ + + /* In this stage the MAC operations are decreased by 1 for every iteration. + The count variable holds the number of MAC operations performed */ + count = srcBLen - 1U; + + /* Working pointer of inputA */ + pSrc1 = (pIn1 + srcALen) - (srcBLen - 1U); + px = pSrc1; + + /* Working pointer of inputB */ + py = pIn2; + + /* ------------------- + * Stage3 process + * ------------------*/ + + while (blockSize3 > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = count >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* Perform the multiply-accumulates */ + /* sum += x[srcALen - srcBLen + 4] * y[3] , sum += x[srcALen - srcBLen + 3] * y[2] */ + sum = __SMLAD(*__SIMD32(px)++, *__SIMD32(py)++, sum); + /* sum += x[srcALen - srcBLen + 2] * y[1] , sum += x[srcALen - srcBLen + 1] * y[0] */ + sum = __SMLAD(*__SIMD32(px)++, *__SIMD32(py)++, sum); + + /* Decrement the loop counter */ + k--; + } + + /* If the count is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = count % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum = __SMLAD(*px++, *py++, sum); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut = (q15_t) (sum >> 15); + /* Destination pointer is updated according to the address modifier, inc */ + pOut += inc; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = ++pSrc1; + py = pIn2; + + /* Decrement the MAC count */ + count--; + + /* Decrement the loop counter */ + blockSize3--; + } + +#else + + q15_t *pIn1; /* inputA pointer */ + q15_t *pIn2; /* inputB pointer */ + q15_t *pOut = pDst; /* output pointer */ + q31_t sum, acc0, acc1, acc2, acc3; /* Accumulators */ + q15_t *px; /* Intermediate inputA pointer */ + q15_t *py; /* Intermediate inputB pointer */ + q15_t *pSrc1; /* Intermediate pointers */ + q31_t x0, x1, x2, x3, c0; /* temporary variables for holding input and coefficient values */ + uint32_t j, k = 0U, count, blkCnt, outBlockSize, blockSize1, blockSize2, blockSize3; /* loop counter */ + int32_t inc = 1; /* Destination address modifier */ + q15_t a, b; + + + /* The algorithm implementation is based on the lengths of the inputs. */ + /* srcB is always made to slide across srcA. */ + /* So srcBLen is always considered as shorter or equal to srcALen */ + /* But CORR(x, y) is reverse of CORR(y, x) */ + /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */ + /* and the destination pointer modifier, inc is set to -1 */ + /* If srcALen > srcBLen, zero pad has to be done to srcB to make the two inputs of same length */ + /* But to improve the performance, + * we include zeroes in the output instead of zero padding either of the the inputs*/ + /* If srcALen > srcBLen, + * (srcALen - srcBLen) zeroes has to included in the starting of the output buffer */ + /* If srcALen < srcBLen, + * (srcALen - srcBLen) zeroes has to included in the ending of the output buffer */ + if (srcALen >= srcBLen) + { + /* Initialization of inputA pointer */ + pIn1 = (pSrcA); + + /* Initialization of inputB pointer */ + pIn2 = (pSrcB); + + /* Number of output samples is calculated */ + outBlockSize = (2U * srcALen) - 1U; + + /* When srcALen > srcBLen, zero padding is done to srcB + * to make their lengths equal. + * Instead, (outBlockSize - (srcALen + srcBLen - 1)) + * number of output samples are made zero */ + j = outBlockSize - (srcALen + (srcBLen - 1U)); + + /* Updating the pointer position to non zero value */ + pOut += j; + + } + else + { + /* Initialization of inputA pointer */ + pIn1 = (pSrcB); + + /* Initialization of inputB pointer */ + pIn2 = (pSrcA); + + /* srcBLen is always considered as shorter or equal to srcALen */ + j = srcBLen; + srcBLen = srcALen; + srcALen = j; + + /* CORR(x, y) = Reverse order(CORR(y, x)) */ + /* Hence set the destination pointer to point to the last output sample */ + pOut = pDst + ((srcALen + srcBLen) - 2U); + + /* Destination address modifier is set to -1 */ + inc = -1; + + } + + /* The function is internally + * divided into three parts according to the number of multiplications that has to be + * taken place between inputA samples and inputB samples. In the first part of the + * algorithm, the multiplications increase by one for every iteration. + * In the second part of the algorithm, srcBLen number of multiplications are done. + * In the third part of the algorithm, the multiplications decrease by one + * for every iteration.*/ + /* The algorithm is implemented in three stages. + * The loop counters of each stage is initiated here. */ + blockSize1 = srcBLen - 1U; + blockSize2 = srcALen - (srcBLen - 1U); + blockSize3 = blockSize1; + + /* -------------------------- + * Initializations of stage1 + * -------------------------*/ + + /* sum = x[0] * y[srcBlen - 1] + * sum = x[0] * y[srcBlen - 2] + x[1] * y[srcBlen - 1] + * .... + * sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen - 1] * y[srcBLen - 1] + */ + + /* In this stage the MAC operations are increased by 1 for every iteration. + The count variable holds the number of MAC operations performed */ + count = 1U; + + /* Working pointer of inputA */ + px = pIn1; + + /* Working pointer of inputB */ + pSrc1 = pIn2 + (srcBLen - 1U); + py = pSrc1; + + /* ------------------------ + * Stage1 process + * ----------------------*/ + + /* The first loop starts here */ + while (blockSize1 > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = count >> 2; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* x[0] * y[srcBLen - 4] , x[1] * y[srcBLen - 3] */ + sum += ((q31_t) * px++ * *py++); + sum += ((q31_t) * px++ * *py++); + sum += ((q31_t) * px++ * *py++); + sum += ((q31_t) * px++ * *py++); + + /* Decrement the loop counter */ + k--; + } + + /* If the count is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = count % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + /* x[0] * y[srcBLen - 1] */ + sum += ((q31_t) * px++ * *py++); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut = (q15_t) (sum >> 15); + /* Destination pointer is updated according to the address modifier, inc */ + pOut += inc; + + /* Update the inputA and inputB pointers for next MAC calculation */ + py = pSrc1 - count; + px = pIn1; + + /* Increment the MAC count */ + count++; + + /* Decrement the loop counter */ + blockSize1--; + } + + /* -------------------------- + * Initializations of stage2 + * ------------------------*/ + + /* sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen-1] * y[srcBLen-1] + * sum = x[1] * y[0] + x[2] * y[1] +...+ x[srcBLen] * y[srcBLen-1] + * .... + * sum = x[srcALen-srcBLen-2] * y[0] + x[srcALen-srcBLen-1] * y[1] +...+ x[srcALen-1] * y[srcBLen-1] + */ + + /* Working pointer of inputA */ + px = pIn1; + + /* Working pointer of inputB */ + py = pIn2; + + /* count is index by which the pointer pIn1 to be incremented */ + count = 0U; + + /* ------------------- + * Stage2 process + * ------------------*/ + + /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed. + * So, to loop unroll over blockSize2, + * srcBLen should be greater than or equal to 4, to loop unroll the srcBLen loop */ + if (srcBLen >= 4U) + { + /* Loop unroll over blockSize2, by 4 */ + blkCnt = blockSize2 >> 2U; + + while (blkCnt > 0U) + { + /* Set all accumulators to zero */ + acc0 = 0; + acc1 = 0; + acc2 = 0; + acc3 = 0; + + /* read x[0], x[1], x[2] samples */ + a = *px; + b = *(px + 1); + +#ifndef ARM_MATH_BIG_ENDIAN + + x0 = __PKHBT(a, b, 16); + a = *(px + 2); + x1 = __PKHBT(b, a, 16); + +#else + + x0 = __PKHBT(b, a, 16); + a = *(px + 2); + x1 = __PKHBT(a, b, 16); + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + px += 2U; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = srcBLen >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + do + { + /* Read the first two inputB samples using SIMD: + * y[0] and y[1] */ + a = *py; + b = *(py + 1); + +#ifndef ARM_MATH_BIG_ENDIAN + + c0 = __PKHBT(a, b, 16); + +#else + + c0 = __PKHBT(b, a, 16); + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* acc0 += x[0] * y[0] + x[1] * y[1] */ + acc0 = __SMLAD(x0, c0, acc0); + + /* acc1 += x[1] * y[0] + x[2] * y[1] */ + acc1 = __SMLAD(x1, c0, acc1); + + /* Read x[2], x[3], x[4] */ + a = *px; + b = *(px + 1); + +#ifndef ARM_MATH_BIG_ENDIAN + + x2 = __PKHBT(a, b, 16); + a = *(px + 2); + x3 = __PKHBT(b, a, 16); + +#else + + x2 = __PKHBT(b, a, 16); + a = *(px + 2); + x3 = __PKHBT(a, b, 16); + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* acc2 += x[2] * y[0] + x[3] * y[1] */ + acc2 = __SMLAD(x2, c0, acc2); + + /* acc3 += x[3] * y[0] + x[4] * y[1] */ + acc3 = __SMLAD(x3, c0, acc3); + + /* Read y[2] and y[3] */ + a = *(py + 2); + b = *(py + 3); + + py += 4U; + +#ifndef ARM_MATH_BIG_ENDIAN + + c0 = __PKHBT(a, b, 16); + +#else + + c0 = __PKHBT(b, a, 16); + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* acc0 += x[2] * y[2] + x[3] * y[3] */ + acc0 = __SMLAD(x2, c0, acc0); + + /* acc1 += x[3] * y[2] + x[4] * y[3] */ + acc1 = __SMLAD(x3, c0, acc1); + + /* Read x[4], x[5], x[6] */ + a = *(px + 2); + b = *(px + 3); + +#ifndef ARM_MATH_BIG_ENDIAN + + x0 = __PKHBT(a, b, 16); + a = *(px + 4); + x1 = __PKHBT(b, a, 16); + +#else + + x0 = __PKHBT(b, a, 16); + a = *(px + 4); + x1 = __PKHBT(a, b, 16); + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + px += 4U; + + /* acc2 += x[4] * y[2] + x[5] * y[3] */ + acc2 = __SMLAD(x0, c0, acc2); + + /* acc3 += x[5] * y[2] + x[6] * y[3] */ + acc3 = __SMLAD(x1, c0, acc3); + + } while (--k); + + /* For the next MAC operations, SIMD is not used + * So, the 16 bit pointer if inputB, py is updated */ + + /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = srcBLen % 0x4U; + + if (k == 1U) + { + /* Read y[4] */ + c0 = *py; +#ifdef ARM_MATH_BIG_ENDIAN + + c0 = c0 << 16U; + +#else + + c0 = c0 & 0x0000FFFF; + +#endif /* #ifdef ARM_MATH_BIG_ENDIAN */ + + /* Read x[7] */ + a = *px; + b = *(px + 1); + + px++;; + +#ifndef ARM_MATH_BIG_ENDIAN + + x3 = __PKHBT(a, b, 16); + +#else + + x3 = __PKHBT(b, a, 16); + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + px++; + + /* Perform the multiply-accumulates */ + acc0 = __SMLAD(x0, c0, acc0); + acc1 = __SMLAD(x1, c0, acc1); + acc2 = __SMLADX(x1, c0, acc2); + acc3 = __SMLADX(x3, c0, acc3); + } + + if (k == 2U) + { + /* Read y[4], y[5] */ + a = *py; + b = *(py + 1); + +#ifndef ARM_MATH_BIG_ENDIAN + + c0 = __PKHBT(a, b, 16); + +#else + + c0 = __PKHBT(b, a, 16); + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* Read x[7], x[8], x[9] */ + a = *px; + b = *(px + 1); + +#ifndef ARM_MATH_BIG_ENDIAN + + x3 = __PKHBT(a, b, 16); + a = *(px + 2); + x2 = __PKHBT(b, a, 16); + +#else + + x3 = __PKHBT(b, a, 16); + a = *(px + 2); + x2 = __PKHBT(a, b, 16); + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + px += 2U; + + /* Perform the multiply-accumulates */ + acc0 = __SMLAD(x0, c0, acc0); + acc1 = __SMLAD(x1, c0, acc1); + acc2 = __SMLAD(x3, c0, acc2); + acc3 = __SMLAD(x2, c0, acc3); + } + + if (k == 3U) + { + /* Read y[4], y[5] */ + a = *py; + b = *(py + 1); + +#ifndef ARM_MATH_BIG_ENDIAN + + c0 = __PKHBT(a, b, 16); + +#else + + c0 = __PKHBT(b, a, 16); + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + py += 2U; + + /* Read x[7], x[8], x[9] */ + a = *px; + b = *(px + 1); + +#ifndef ARM_MATH_BIG_ENDIAN + + x3 = __PKHBT(a, b, 16); + a = *(px + 2); + x2 = __PKHBT(b, a, 16); + +#else + + x3 = __PKHBT(b, a, 16); + a = *(px + 2); + x2 = __PKHBT(a, b, 16); + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* Perform the multiply-accumulates */ + acc0 = __SMLAD(x0, c0, acc0); + acc1 = __SMLAD(x1, c0, acc1); + acc2 = __SMLAD(x3, c0, acc2); + acc3 = __SMLAD(x2, c0, acc3); + + c0 = (*py); + /* Read y[6] */ +#ifdef ARM_MATH_BIG_ENDIAN + + c0 = c0 << 16U; +#else + + c0 = c0 & 0x0000FFFF; +#endif /* #ifdef ARM_MATH_BIG_ENDIAN */ + + /* Read x[10] */ + b = *(px + 3); + +#ifndef ARM_MATH_BIG_ENDIAN + + x3 = __PKHBT(a, b, 16); + +#else + + x3 = __PKHBT(b, a, 16); + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + px += 3U; + + /* Perform the multiply-accumulates */ + acc0 = __SMLADX(x1, c0, acc0); + acc1 = __SMLAD(x2, c0, acc1); + acc2 = __SMLADX(x2, c0, acc2); + acc3 = __SMLADX(x3, c0, acc3); + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut = (q15_t) (acc0 >> 15); + /* Destination pointer is updated according to the address modifier, inc */ + pOut += inc; + + *pOut = (q15_t) (acc1 >> 15); + pOut += inc; + + *pOut = (q15_t) (acc2 >> 15); + pOut += inc; + + *pOut = (q15_t) (acc3 >> 15); + pOut += inc; + + /* Increment the pointer pIn1 index, count by 1 */ + count += 4U; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pIn2; + + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize2 % 0x4U; + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = srcBLen >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum += ((q31_t) * px++ * *py++); + sum += ((q31_t) * px++ * *py++); + sum += ((q31_t) * px++ * *py++); + sum += ((q31_t) * px++ * *py++); + + /* Decrement the loop counter */ + k--; + } + + /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = srcBLen % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum += ((q31_t) * px++ * *py++); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut = (q15_t) (sum >> 15); + /* Destination pointer is updated according to the address modifier, inc */ + pOut += inc; + + /* Increment the pointer pIn1 index, count by 1 */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pIn2; + + /* Decrement the loop counter */ + blkCnt--; + } + } + else + { + /* If the srcBLen is not a multiple of 4, + * the blockSize2 loop cannot be unrolled by 4 */ + blkCnt = blockSize2; + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Loop over srcBLen */ + k = srcBLen; + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum += ((q31_t) * px++ * *py++); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut = (q15_t) (sum >> 15); + /* Destination pointer is updated according to the address modifier, inc */ + pOut += inc; + + /* Increment the MAC count */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pIn2; + + /* Decrement the loop counter */ + blkCnt--; + } + } + + /* -------------------------- + * Initializations of stage3 + * -------------------------*/ + + /* sum += x[srcALen-srcBLen+1] * y[0] + x[srcALen-srcBLen+2] * y[1] +...+ x[srcALen-1] * y[srcBLen-1] + * sum += x[srcALen-srcBLen+2] * y[0] + x[srcALen-srcBLen+3] * y[1] +...+ x[srcALen-1] * y[srcBLen-1] + * .... + * sum += x[srcALen-2] * y[0] + x[srcALen-1] * y[1] + * sum += x[srcALen-1] * y[0] + */ + + /* In this stage the MAC operations are decreased by 1 for every iteration. + The count variable holds the number of MAC operations performed */ + count = srcBLen - 1U; + + /* Working pointer of inputA */ + pSrc1 = (pIn1 + srcALen) - (srcBLen - 1U); + px = pSrc1; + + /* Working pointer of inputB */ + py = pIn2; + + /* ------------------- + * Stage3 process + * ------------------*/ + + while (blockSize3 > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = count >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum += ((q31_t) * px++ * *py++); + sum += ((q31_t) * px++ * *py++); + sum += ((q31_t) * px++ * *py++); + sum += ((q31_t) * px++ * *py++); + + /* Decrement the loop counter */ + k--; + } + + /* If the count is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = count % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum += ((q31_t) * px++ * *py++); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut = (q15_t) (sum >> 15); + /* Destination pointer is updated according to the address modifier, inc */ + pOut += inc; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = ++pSrc1; + py = pIn2; + + /* Decrement the MAC count */ + count--; + + /* Decrement the loop counter */ + blockSize3--; + } + +#endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */ + +} + +/** + * @} end of Corr group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_fast_q31.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_fast_q31.c new file mode 100644 index 0000000..53373ac --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_fast_q31.c @@ -0,0 +1,600 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_correlate_fast_q31.c + * Description: Fast Q31 Correlation + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupFilters + */ + +/** + * @addtogroup Corr + * @{ + */ + +/** + * @brief Correlation of Q31 sequences (fast version) for Cortex-M3 and Cortex-M4. + * @param[in] *pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] *pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] *pDst points to the location where the output result is written. Length 2 * max(srcALen, srcBLen) - 1. + * @return none. + * + * @details + * Scaling and Overflow Behavior: + * + * \par + * This function is optimized for speed at the expense of fixed-point precision and overflow protection. + * The result of each 1.31 x 1.31 multiplication is truncated to 2.30 format. + * These intermediate results are accumulated in a 32-bit register in 2.30 format. + * Finally, the accumulator is saturated and converted to a 1.31 result. + * + * \par + * The fast version has the same overflow behavior as the standard version but provides less precision since it discards the low 32 bits of each multiplication result. + * In order to avoid overflows completely the input signals must be scaled down. + * The input signals should be scaled down to avoid intermediate overflows. + * Scale down one of the inputs by 1/min(srcALen, srcBLen)to avoid overflows since a + * maximum of min(srcALen, srcBLen) number of additions is carried internally. + * + * \par + * See arm_correlate_q31() for a slower implementation of this function which uses 64-bit accumulation to provide higher precision. + */ + +void arm_correlate_fast_q31( + q31_t * pSrcA, + uint32_t srcALen, + q31_t * pSrcB, + uint32_t srcBLen, + q31_t * pDst) +{ + q31_t *pIn1; /* inputA pointer */ + q31_t *pIn2; /* inputB pointer */ + q31_t *pOut = pDst; /* output pointer */ + q31_t *px; /* Intermediate inputA pointer */ + q31_t *py; /* Intermediate inputB pointer */ + q31_t *pSrc1; /* Intermediate pointers */ + q31_t sum, acc0, acc1, acc2, acc3; /* Accumulators */ + q31_t x0, x1, x2, x3, c0; /* temporary variables for holding input and coefficient values */ + uint32_t j, k = 0U, count, blkCnt, outBlockSize, blockSize1, blockSize2, blockSize3; /* loop counter */ + int32_t inc = 1; /* Destination address modifier */ + + + /* The algorithm implementation is based on the lengths of the inputs. */ + /* srcB is always made to slide across srcA. */ + /* So srcBLen is always considered as shorter or equal to srcALen */ + if (srcALen >= srcBLen) + { + /* Initialization of inputA pointer */ + pIn1 = (pSrcA); + + /* Initialization of inputB pointer */ + pIn2 = (pSrcB); + + /* Number of output samples is calculated */ + outBlockSize = (2U * srcALen) - 1U; + + /* When srcALen > srcBLen, zero padding is done to srcB + * to make their lengths equal. + * Instead, (outBlockSize - (srcALen + srcBLen - 1)) + * number of output samples are made zero */ + j = outBlockSize - (srcALen + (srcBLen - 1U)); + + /* Updating the pointer position to non zero value */ + pOut += j; + + } + else + { + /* Initialization of inputA pointer */ + pIn1 = (pSrcB); + + /* Initialization of inputB pointer */ + pIn2 = (pSrcA); + + /* srcBLen is always considered as shorter or equal to srcALen */ + j = srcBLen; + srcBLen = srcALen; + srcALen = j; + + /* CORR(x, y) = Reverse order(CORR(y, x)) */ + /* Hence set the destination pointer to point to the last output sample */ + pOut = pDst + ((srcALen + srcBLen) - 2U); + + /* Destination address modifier is set to -1 */ + inc = -1; + + } + + /* The function is internally + * divided into three parts according to the number of multiplications that has to be + * taken place between inputA samples and inputB samples. In the first part of the + * algorithm, the multiplications increase by one for every iteration. + * In the second part of the algorithm, srcBLen number of multiplications are done. + * In the third part of the algorithm, the multiplications decrease by one + * for every iteration.*/ + /* The algorithm is implemented in three stages. + * The loop counters of each stage is initiated here. */ + blockSize1 = srcBLen - 1U; + blockSize2 = srcALen - (srcBLen - 1U); + blockSize3 = blockSize1; + + /* -------------------------- + * Initializations of stage1 + * -------------------------*/ + + /* sum = x[0] * y[srcBlen - 1] + * sum = x[0] * y[srcBlen - 2] + x[1] * y[srcBlen - 1] + * .... + * sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen - 1] * y[srcBLen - 1] + */ + + /* In this stage the MAC operations are increased by 1 for every iteration. + The count variable holds the number of MAC operations performed */ + count = 1U; + + /* Working pointer of inputA */ + px = pIn1; + + /* Working pointer of inputB */ + pSrc1 = pIn2 + (srcBLen - 1U); + py = pSrc1; + + /* ------------------------ + * Stage1 process + * ----------------------*/ + + /* The first stage starts here */ + while (blockSize1 > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = count >> 2; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* x[0] * y[srcBLen - 4] */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) * px++ * (*py++))) >> 32); + /* x[1] * y[srcBLen - 3] */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) * px++ * (*py++))) >> 32); + /* x[2] * y[srcBLen - 2] */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) * px++ * (*py++))) >> 32); + /* x[3] * y[srcBLen - 1] */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) * px++ * (*py++))) >> 32); + + /* Decrement the loop counter */ + k--; + } + + /* If the count is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = count % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + /* x[0] * y[srcBLen - 1] */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) * px++ * (*py++))) >> 32); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut = sum << 1; + /* Destination pointer is updated according to the address modifier, inc */ + pOut += inc; + + /* Update the inputA and inputB pointers for next MAC calculation */ + py = pSrc1 - count; + px = pIn1; + + /* Increment the MAC count */ + count++; + + /* Decrement the loop counter */ + blockSize1--; + } + + /* -------------------------- + * Initializations of stage2 + * ------------------------*/ + + /* sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen-1] * y[srcBLen-1] + * sum = x[1] * y[0] + x[2] * y[1] +...+ x[srcBLen] * y[srcBLen-1] + * .... + * sum = x[srcALen-srcBLen-2] * y[0] + x[srcALen-srcBLen-1] * y[1] +...+ x[srcALen-1] * y[srcBLen-1] + */ + + /* Working pointer of inputA */ + px = pIn1; + + /* Working pointer of inputB */ + py = pIn2; + + /* count is index by which the pointer pIn1 to be incremented */ + count = 0U; + + /* ------------------- + * Stage2 process + * ------------------*/ + + /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed. + * So, to loop unroll over blockSize2, + * srcBLen should be greater than or equal to 4 */ + if (srcBLen >= 4U) + { + /* Loop unroll over blockSize2, by 4 */ + blkCnt = blockSize2 >> 2U; + + while (blkCnt > 0U) + { + /* Set all accumulators to zero */ + acc0 = 0; + acc1 = 0; + acc2 = 0; + acc3 = 0; + + /* read x[0], x[1], x[2] samples */ + x0 = *(px++); + x1 = *(px++); + x2 = *(px++); + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = srcBLen >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + do + { + /* Read y[0] sample */ + c0 = *(py++); + + /* Read x[3] sample */ + x3 = *(px++); + + /* Perform the multiply-accumulate */ + /* acc0 += x[0] * y[0] */ + acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32); + /* acc1 += x[1] * y[0] */ + acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32); + /* acc2 += x[2] * y[0] */ + acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x2 * c0)) >> 32); + /* acc3 += x[3] * y[0] */ + acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x3 * c0)) >> 32); + + /* Read y[1] sample */ + c0 = *(py++); + + /* Read x[4] sample */ + x0 = *(px++); + + /* Perform the multiply-accumulates */ + /* acc0 += x[1] * y[1] */ + acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x1 * c0)) >> 32); + /* acc1 += x[2] * y[1] */ + acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x2 * c0)) >> 32); + /* acc2 += x[3] * y[1] */ + acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x3 * c0)) >> 32); + /* acc3 += x[4] * y[1] */ + acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x0 * c0)) >> 32); + + /* Read y[2] sample */ + c0 = *(py++); + + /* Read x[5] sample */ + x1 = *(px++); + + /* Perform the multiply-accumulates */ + /* acc0 += x[2] * y[2] */ + acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x2 * c0)) >> 32); + /* acc1 += x[3] * y[2] */ + acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x3 * c0)) >> 32); + /* acc2 += x[4] * y[2] */ + acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x0 * c0)) >> 32); + /* acc3 += x[5] * y[2] */ + acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x1 * c0)) >> 32); + + /* Read y[3] sample */ + c0 = *(py++); + + /* Read x[6] sample */ + x2 = *(px++); + + /* Perform the multiply-accumulates */ + /* acc0 += x[3] * y[3] */ + acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x3 * c0)) >> 32); + /* acc1 += x[4] * y[3] */ + acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x0 * c0)) >> 32); + /* acc2 += x[5] * y[3] */ + acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x1 * c0)) >> 32); + /* acc3 += x[6] * y[3] */ + acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x2 * c0)) >> 32); + + + } while (--k); + + /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = srcBLen % 0x4U; + + while (k > 0U) + { + /* Read y[4] sample */ + c0 = *(py++); + + /* Read x[7] sample */ + x3 = *(px++); + + /* Perform the multiply-accumulates */ + /* acc0 += x[4] * y[4] */ + acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32); + /* acc1 += x[5] * y[4] */ + acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32); + /* acc2 += x[6] * y[4] */ + acc2 = (q31_t) ((((q63_t) acc2 << 32) + ((q63_t) x2 * c0)) >> 32); + /* acc3 += x[7] * y[4] */ + acc3 = (q31_t) ((((q63_t) acc3 << 32) + ((q63_t) x3 * c0)) >> 32); + + /* Reuse the present samples for the next MAC */ + x0 = x1; + x1 = x2; + x2 = x3; + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut = (q31_t) (acc0 << 1); + /* Destination pointer is updated according to the address modifier, inc */ + pOut += inc; + + *pOut = (q31_t) (acc1 << 1); + pOut += inc; + + *pOut = (q31_t) (acc2 << 1); + pOut += inc; + + *pOut = (q31_t) (acc3 << 1); + pOut += inc; + + /* Increment the pointer pIn1 index, count by 4 */ + count += 4U; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pIn2; + + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize2 % 0x4U; + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = srcBLen >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) * px++ * (*py++))) >> 32); + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) * px++ * (*py++))) >> 32); + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) * px++ * (*py++))) >> 32); + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) * px++ * (*py++))) >> 32); + + /* Decrement the loop counter */ + k--; + } + + /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = srcBLen % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) * px++ * (*py++))) >> 32); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut = sum << 1; + /* Destination pointer is updated according to the address modifier, inc */ + pOut += inc; + + /* Increment the MAC count */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pIn2; + + + /* Decrement the loop counter */ + blkCnt--; + } + } + else + { + /* If the srcBLen is not a multiple of 4, + * the blockSize2 loop cannot be unrolled by 4 */ + blkCnt = blockSize2; + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Loop over srcBLen */ + k = srcBLen; + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) * px++ * (*py++))) >> 32); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut = sum << 1; + /* Destination pointer is updated according to the address modifier, inc */ + pOut += inc; + + /* Increment the MAC count */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pIn2; + + /* Decrement the loop counter */ + blkCnt--; + } + } + + /* -------------------------- + * Initializations of stage3 + * -------------------------*/ + + /* sum += x[srcALen-srcBLen+1] * y[0] + x[srcALen-srcBLen+2] * y[1] +...+ x[srcALen-1] * y[srcBLen-1] + * sum += x[srcALen-srcBLen+2] * y[0] + x[srcALen-srcBLen+3] * y[1] +...+ x[srcALen-1] * y[srcBLen-1] + * .... + * sum += x[srcALen-2] * y[0] + x[srcALen-1] * y[1] + * sum += x[srcALen-1] * y[0] + */ + + /* In this stage the MAC operations are decreased by 1 for every iteration. + The count variable holds the number of MAC operations performed */ + count = srcBLen - 1U; + + /* Working pointer of inputA */ + pSrc1 = ((pIn1 + srcALen) - srcBLen) + 1U; + px = pSrc1; + + /* Working pointer of inputB */ + py = pIn2; + + /* ------------------- + * Stage3 process + * ------------------*/ + + while (blockSize3 > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = count >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* Perform the multiply-accumulates */ + /* sum += x[srcALen - srcBLen + 4] * y[3] */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) * px++ * (*py++))) >> 32); + /* sum += x[srcALen - srcBLen + 3] * y[2] */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) * px++ * (*py++))) >> 32); + /* sum += x[srcALen - srcBLen + 2] * y[1] */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) * px++ * (*py++))) >> 32); + /* sum += x[srcALen - srcBLen + 1] * y[0] */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) * px++ * (*py++))) >> 32); + + /* Decrement the loop counter */ + k--; + } + + /* If the count is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = count % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum = (q31_t) ((((q63_t) sum << 32) + + ((q63_t) * px++ * (*py++))) >> 32); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut = sum << 1; + /* Destination pointer is updated according to the address modifier, inc */ + pOut += inc; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = ++pSrc1; + py = pIn2; + + /* Decrement the MAC count */ + count--; + + /* Decrement the loop counter */ + blockSize3--; + } + +} + +/** + * @} end of Corr group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_opt_q15.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_opt_q15.c new file mode 100644 index 0000000..c021b05 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_opt_q15.c @@ -0,0 +1,501 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_correlate_opt_q15.c + * Description: Correlation of Q15 sequences + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupFilters + */ + +/** + * @addtogroup Corr + * @{ + */ + +/** + * @brief Correlation of Q15 sequences. + * @param[in] *pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] *pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] *pDst points to the location where the output result is written. Length 2 * max(srcALen, srcBLen) - 1. + * @param[in] *pScratch points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2. + * @return none. + * + * \par Restrictions + * If the silicon does not support unaligned memory access enable the macro UNALIGNED_SUPPORT_DISABLE + * In this case input, output, scratch buffers should be aligned by 32-bit + * + * @details + * Scaling and Overflow Behavior: + * + * \par + * The function is implemented using a 64-bit internal accumulator. + * Both inputs are in 1.15 format and multiplications yield a 2.30 result. + * The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format. + * This approach provides 33 guard bits and there is no risk of overflow. + * The 34.30 result is then truncated to 34.15 format by discarding the low 15 bits and then saturated to 1.15 format. + * + * \par + * Refer to arm_correlate_fast_q15() for a faster but less precise version of this function for Cortex-M3 and Cortex-M4. + * + * + */ + + +void arm_correlate_opt_q15( + q15_t * pSrcA, + uint32_t srcALen, + q15_t * pSrcB, + uint32_t srcBLen, + q15_t * pDst, + q15_t * pScratch) +{ + q15_t *pIn1; /* inputA pointer */ + q15_t *pIn2; /* inputB pointer */ + q63_t acc0, acc1, acc2, acc3; /* Accumulators */ + q15_t *py; /* Intermediate inputB pointer */ + q31_t x1, x2, x3; /* temporary variables for holding input1 and input2 values */ + uint32_t j, blkCnt, outBlockSize; /* loop counter */ + int32_t inc = 1; /* output pointer increment */ + uint32_t tapCnt; + q31_t y1, y2; + q15_t *pScr; /* Intermediate pointers */ + q15_t *pOut = pDst; /* output pointer */ +#ifdef UNALIGNED_SUPPORT_DISABLE + + q15_t a, b; + +#endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */ + + /* The algorithm implementation is based on the lengths of the inputs. */ + /* srcB is always made to slide across srcA. */ + /* So srcBLen is always considered as shorter or equal to srcALen */ + /* But CORR(x, y) is reverse of CORR(y, x) */ + /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */ + /* and the destination pointer modifier, inc is set to -1 */ + /* If srcALen > srcBLen, zero pad has to be done to srcB to make the two inputs of same length */ + /* But to improve the performance, + * we include zeroes in the output instead of zero padding either of the the inputs*/ + /* If srcALen > srcBLen, + * (srcALen - srcBLen) zeroes has to included in the starting of the output buffer */ + /* If srcALen < srcBLen, + * (srcALen - srcBLen) zeroes has to included in the ending of the output buffer */ + if (srcALen >= srcBLen) + { + /* Initialization of inputA pointer */ + pIn1 = (pSrcA); + + /* Initialization of inputB pointer */ + pIn2 = (pSrcB); + + /* Number of output samples is calculated */ + outBlockSize = (2U * srcALen) - 1U; + + /* When srcALen > srcBLen, zero padding is done to srcB + * to make their lengths equal. + * Instead, (outBlockSize - (srcALen + srcBLen - 1)) + * number of output samples are made zero */ + j = outBlockSize - (srcALen + (srcBLen - 1U)); + + /* Updating the pointer position to non zero value */ + pOut += j; + + } + else + { + /* Initialization of inputA pointer */ + pIn1 = (pSrcB); + + /* Initialization of inputB pointer */ + pIn2 = (pSrcA); + + /* srcBLen is always considered as shorter or equal to srcALen */ + j = srcBLen; + srcBLen = srcALen; + srcALen = j; + + /* CORR(x, y) = Reverse order(CORR(y, x)) */ + /* Hence set the destination pointer to point to the last output sample */ + pOut = pDst + ((srcALen + srcBLen) - 2U); + + /* Destination address modifier is set to -1 */ + inc = -1; + + } + + pScr = pScratch; + + /* Fill (srcBLen - 1U) zeros in scratch buffer */ + arm_fill_q15(0, pScr, (srcBLen - 1U)); + + /* Update temporary scratch pointer */ + pScr += (srcBLen - 1U); + +#ifndef UNALIGNED_SUPPORT_DISABLE + + /* Copy (srcALen) samples in scratch buffer */ + arm_copy_q15(pIn1, pScr, srcALen); + + /* Update pointers */ + //pIn1 += srcALen; + pScr += srcALen; + +#else + + /* Apply loop unrolling and do 4 Copies simultaneously. */ + j = srcALen >> 2U; + + /* First part of the processing with loop unrolling copies 4 data points at a time. + ** a second loop below copies for the remaining 1 to 3 samples. */ + while (j > 0U) + { + /* copy second buffer in reversal manner */ + *pScr++ = *pIn1++; + *pScr++ = *pIn1++; + *pScr++ = *pIn1++; + *pScr++ = *pIn1++; + + /* Decrement the loop counter */ + j--; + } + + /* If the count is not a multiple of 4, copy remaining samples here. + ** No loop unrolling is used. */ + j = srcALen % 0x4U; + + while (j > 0U) + { + /* copy second buffer in reversal manner for remaining samples */ + *pScr++ = *pIn1++; + + /* Decrement the loop counter */ + j--; + } + +#endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */ + +#ifndef UNALIGNED_SUPPORT_DISABLE + + /* Fill (srcBLen - 1U) zeros at end of scratch buffer */ + arm_fill_q15(0, pScr, (srcBLen - 1U)); + + /* Update pointer */ + pScr += (srcBLen - 1U); + +#else + +/* Apply loop unrolling and do 4 Copies simultaneously. */ + j = (srcBLen - 1U) >> 2U; + + /* First part of the processing with loop unrolling copies 4 data points at a time. + ** a second loop below copies for the remaining 1 to 3 samples. */ + while (j > 0U) + { + /* copy second buffer in reversal manner */ + *pScr++ = 0; + *pScr++ = 0; + *pScr++ = 0; + *pScr++ = 0; + + /* Decrement the loop counter */ + j--; + } + + /* If the count is not a multiple of 4, copy remaining samples here. + ** No loop unrolling is used. */ + j = (srcBLen - 1U) % 0x4U; + + while (j > 0U) + { + /* copy second buffer in reversal manner for remaining samples */ + *pScr++ = 0; + + /* Decrement the loop counter */ + j--; + } + +#endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */ + + /* Temporary pointer for scratch2 */ + py = pIn2; + + + /* Actual correlation process starts here */ + blkCnt = (srcALen + srcBLen - 1U) >> 2; + + while (blkCnt > 0) + { + /* Initialze temporary scratch pointer as scratch1 */ + pScr = pScratch; + + /* Clear Accumlators */ + acc0 = 0; + acc1 = 0; + acc2 = 0; + acc3 = 0; + + /* Read four samples from scratch1 buffer */ + x1 = *__SIMD32(pScr)++; + + /* Read next four samples from scratch1 buffer */ + x2 = *__SIMD32(pScr)++; + + tapCnt = (srcBLen) >> 2U; + + while (tapCnt > 0U) + { + +#ifndef UNALIGNED_SUPPORT_DISABLE + + /* Read four samples from smaller buffer */ + y1 = _SIMD32_OFFSET(pIn2); + y2 = _SIMD32_OFFSET(pIn2 + 2U); + + acc0 = __SMLALD(x1, y1, acc0); + + acc2 = __SMLALD(x2, y1, acc2); + +#ifndef ARM_MATH_BIG_ENDIAN + x3 = __PKHBT(x2, x1, 0); +#else + x3 = __PKHBT(x1, x2, 0); +#endif + + acc1 = __SMLALDX(x3, y1, acc1); + + x1 = _SIMD32_OFFSET(pScr); + + acc0 = __SMLALD(x2, y2, acc0); + + acc2 = __SMLALD(x1, y2, acc2); + +#ifndef ARM_MATH_BIG_ENDIAN + x3 = __PKHBT(x1, x2, 0); +#else + x3 = __PKHBT(x2, x1, 0); +#endif + + acc3 = __SMLALDX(x3, y1, acc3); + + acc1 = __SMLALDX(x3, y2, acc1); + + x2 = _SIMD32_OFFSET(pScr + 2U); + +#ifndef ARM_MATH_BIG_ENDIAN + x3 = __PKHBT(x2, x1, 0); +#else + x3 = __PKHBT(x1, x2, 0); +#endif + + acc3 = __SMLALDX(x3, y2, acc3); + +#else + + /* Read four samples from smaller buffer */ + a = *pIn2; + b = *(pIn2 + 1); + +#ifndef ARM_MATH_BIG_ENDIAN + y1 = __PKHBT(a, b, 16); +#else + y1 = __PKHBT(b, a, 16); +#endif + + a = *(pIn2 + 2); + b = *(pIn2 + 3); +#ifndef ARM_MATH_BIG_ENDIAN + y2 = __PKHBT(a, b, 16); +#else + y2 = __PKHBT(b, a, 16); +#endif + + acc0 = __SMLALD(x1, y1, acc0); + + acc2 = __SMLALD(x2, y1, acc2); + +#ifndef ARM_MATH_BIG_ENDIAN + x3 = __PKHBT(x2, x1, 0); +#else + x3 = __PKHBT(x1, x2, 0); +#endif + + acc1 = __SMLALDX(x3, y1, acc1); + + a = *pScr; + b = *(pScr + 1); + +#ifndef ARM_MATH_BIG_ENDIAN + x1 = __PKHBT(a, b, 16); +#else + x1 = __PKHBT(b, a, 16); +#endif + + acc0 = __SMLALD(x2, y2, acc0); + + acc2 = __SMLALD(x1, y2, acc2); + +#ifndef ARM_MATH_BIG_ENDIAN + x3 = __PKHBT(x1, x2, 0); +#else + x3 = __PKHBT(x2, x1, 0); +#endif + + acc3 = __SMLALDX(x3, y1, acc3); + + acc1 = __SMLALDX(x3, y2, acc1); + + a = *(pScr + 2); + b = *(pScr + 3); + +#ifndef ARM_MATH_BIG_ENDIAN + x2 = __PKHBT(a, b, 16); +#else + x2 = __PKHBT(b, a, 16); +#endif + +#ifndef ARM_MATH_BIG_ENDIAN + x3 = __PKHBT(x2, x1, 0); +#else + x3 = __PKHBT(x1, x2, 0); +#endif + + acc3 = __SMLALDX(x3, y2, acc3); + +#endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */ + + pIn2 += 4U; + + pScr += 4U; + + + /* Decrement the loop counter */ + tapCnt--; + } + + + + /* Update scratch pointer for remaining samples of smaller length sequence */ + pScr -= 4U; + + + /* apply same above for remaining samples of smaller length sequence */ + tapCnt = (srcBLen) & 3U; + + while (tapCnt > 0U) + { + + /* accumlate the results */ + acc0 += (*pScr++ * *pIn2); + acc1 += (*pScr++ * *pIn2); + acc2 += (*pScr++ * *pIn2); + acc3 += (*pScr++ * *pIn2++); + + pScr -= 3U; + + /* Decrement the loop counter */ + tapCnt--; + } + + blkCnt--; + + + /* Store the results in the accumulators in the destination buffer. */ + *pOut = (__SSAT(acc0 >> 15U, 16)); + pOut += inc; + *pOut = (__SSAT(acc1 >> 15U, 16)); + pOut += inc; + *pOut = (__SSAT(acc2 >> 15U, 16)); + pOut += inc; + *pOut = (__SSAT(acc3 >> 15U, 16)); + pOut += inc; + + /* Initialization of inputB pointer */ + pIn2 = py; + + pScratch += 4U; + + } + + + blkCnt = (srcALen + srcBLen - 1U) & 0x3; + + /* Calculate correlation for remaining samples of Bigger length sequence */ + while (blkCnt > 0) + { + /* Initialze temporary scratch pointer as scratch1 */ + pScr = pScratch; + + /* Clear Accumlators */ + acc0 = 0; + + tapCnt = (srcBLen) >> 1U; + + while (tapCnt > 0U) + { + + acc0 += (*pScr++ * *pIn2++); + acc0 += (*pScr++ * *pIn2++); + + /* Decrement the loop counter */ + tapCnt--; + } + + tapCnt = (srcBLen) & 1U; + + /* apply same above for remaining samples of smaller length sequence */ + while (tapCnt > 0U) + { + + /* accumlate the results */ + acc0 += (*pScr++ * *pIn2++); + + /* Decrement the loop counter */ + tapCnt--; + } + + blkCnt--; + + /* Store the result in the accumulator in the destination buffer. */ + *pOut = (q15_t) (__SSAT((acc0 >> 15), 16)); + + pOut += inc; + + /* Initialization of inputB pointer */ + pIn2 = py; + + pScratch += 1U; + + } + + +} + +/** + * @} end of Corr group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_opt_q7.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_opt_q7.c new file mode 100644 index 0000000..dbffd5d --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_opt_q7.c @@ -0,0 +1,452 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_correlate_opt_q7.c + * Description: Correlation of Q7 sequences + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupFilters + */ + +/** + * @addtogroup Corr + * @{ + */ + +/** + * @brief Correlation of Q7 sequences. + * @param[in] *pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] *pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] *pDst points to the location where the output result is written. Length 2 * max(srcALen, srcBLen) - 1. + * @param[in] *pScratch1 points to scratch buffer(of type q15_t) of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2. + * @param[in] *pScratch2 points to scratch buffer (of type q15_t) of size min(srcALen, srcBLen). + * @return none. + * + * + * \par Restrictions + * If the silicon does not support unaligned memory access enable the macro UNALIGNED_SUPPORT_DISABLE + * In this case input, output, scratch1 and scratch2 buffers should be aligned by 32-bit + * + * @details + * Scaling and Overflow Behavior: + * + * \par + * The function is implemented using a 32-bit internal accumulator. + * Both the inputs are represented in 1.7 format and multiplications yield a 2.14 result. + * The 2.14 intermediate results are accumulated in a 32-bit accumulator in 18.14 format. + * This approach provides 17 guard bits and there is no risk of overflow as long as max(srcALen, srcBLen)<131072. + * The 18.14 result is then truncated to 18.7 format by discarding the low 7 bits and saturated to 1.7 format. + * + * + */ + + + +void arm_correlate_opt_q7( + q7_t * pSrcA, + uint32_t srcALen, + q7_t * pSrcB, + uint32_t srcBLen, + q7_t * pDst, + q15_t * pScratch1, + q15_t * pScratch2) +{ + q7_t *pOut = pDst; /* output pointer */ + q15_t *pScr1 = pScratch1; /* Temporary pointer for scratch */ + q15_t *pScr2 = pScratch2; /* Temporary pointer for scratch */ + q7_t *pIn1; /* inputA pointer */ + q7_t *pIn2; /* inputB pointer */ + q15_t *py; /* Intermediate inputB pointer */ + q31_t acc0, acc1, acc2, acc3; /* Accumulators */ + uint32_t j, k = 0U, blkCnt; /* loop counter */ + int32_t inc = 1; /* output pointer increment */ + uint32_t outBlockSize; /* loop counter */ + q15_t x4; /* Temporary input variable */ + uint32_t tapCnt; /* loop counter */ + q31_t x1, x2, x3, y1; /* Temporary input variables */ + + /* The algorithm implementation is based on the lengths of the inputs. */ + /* srcB is always made to slide across srcA. */ + /* So srcBLen is always considered as shorter or equal to srcALen */ + /* But CORR(x, y) is reverse of CORR(y, x) */ + /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */ + /* and the destination pointer modifier, inc is set to -1 */ + /* If srcALen > srcBLen, zero pad has to be done to srcB to make the two inputs of same length */ + /* But to improve the performance, + * we include zeroes in the output instead of zero padding either of the the inputs*/ + /* If srcALen > srcBLen, + * (srcALen - srcBLen) zeroes has to included in the starting of the output buffer */ + /* If srcALen < srcBLen, + * (srcALen - srcBLen) zeroes has to included in the ending of the output buffer */ + if (srcALen >= srcBLen) + { + /* Initialization of inputA pointer */ + pIn1 = (pSrcA); + + /* Initialization of inputB pointer */ + pIn2 = (pSrcB); + + /* Number of output samples is calculated */ + outBlockSize = (2U * srcALen) - 1U; + + /* When srcALen > srcBLen, zero padding is done to srcB + * to make their lengths equal. + * Instead, (outBlockSize - (srcALen + srcBLen - 1)) + * number of output samples are made zero */ + j = outBlockSize - (srcALen + (srcBLen - 1U)); + + /* Updating the pointer position to non zero value */ + pOut += j; + + } + else + { + /* Initialization of inputA pointer */ + pIn1 = (pSrcB); + + /* Initialization of inputB pointer */ + pIn2 = (pSrcA); + + /* srcBLen is always considered as shorter or equal to srcALen */ + j = srcBLen; + srcBLen = srcALen; + srcALen = j; + + /* CORR(x, y) = Reverse order(CORR(y, x)) */ + /* Hence set the destination pointer to point to the last output sample */ + pOut = pDst + ((srcALen + srcBLen) - 2U); + + /* Destination address modifier is set to -1 */ + inc = -1; + + } + + + /* Copy (srcBLen) samples in scratch buffer */ + k = srcBLen >> 2U; + + /* First part of the processing with loop unrolling copies 4 data points at a time. + ** a second loop below copies for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* copy second buffer in reversal manner */ + x4 = (q15_t) * pIn2++; + *pScr2++ = x4; + x4 = (q15_t) * pIn2++; + *pScr2++ = x4; + x4 = (q15_t) * pIn2++; + *pScr2++ = x4; + x4 = (q15_t) * pIn2++; + *pScr2++ = x4; + + /* Decrement the loop counter */ + k--; + } + + /* If the count is not a multiple of 4, copy remaining samples here. + ** No loop unrolling is used. */ + k = srcBLen % 0x4U; + + while (k > 0U) + { + /* copy second buffer in reversal manner for remaining samples */ + x4 = (q15_t) * pIn2++; + *pScr2++ = x4; + + /* Decrement the loop counter */ + k--; + } + + /* Fill (srcBLen - 1U) zeros in scratch buffer */ + arm_fill_q15(0, pScr1, (srcBLen - 1U)); + + /* Update temporary scratch pointer */ + pScr1 += (srcBLen - 1U); + + /* Copy (srcALen) samples in scratch buffer */ + k = srcALen >> 2U; + + /* First part of the processing with loop unrolling copies 4 data points at a time. + ** a second loop below copies for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* copy second buffer in reversal manner */ + x4 = (q15_t) * pIn1++; + *pScr1++ = x4; + x4 = (q15_t) * pIn1++; + *pScr1++ = x4; + x4 = (q15_t) * pIn1++; + *pScr1++ = x4; + x4 = (q15_t) * pIn1++; + *pScr1++ = x4; + + /* Decrement the loop counter */ + k--; + } + + /* If the count is not a multiple of 4, copy remaining samples here. + ** No loop unrolling is used. */ + k = srcALen % 0x4U; + + while (k > 0U) + { + /* copy second buffer in reversal manner for remaining samples */ + x4 = (q15_t) * pIn1++; + *pScr1++ = x4; + + /* Decrement the loop counter */ + k--; + } + +#ifndef UNALIGNED_SUPPORT_DISABLE + + /* Fill (srcBLen - 1U) zeros at end of scratch buffer */ + arm_fill_q15(0, pScr1, (srcBLen - 1U)); + + /* Update pointer */ + pScr1 += (srcBLen - 1U); + +#else + +/* Apply loop unrolling and do 4 Copies simultaneously. */ + k = (srcBLen - 1U) >> 2U; + + /* First part of the processing with loop unrolling copies 4 data points at a time. + ** a second loop below copies for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* copy second buffer in reversal manner */ + *pScr1++ = 0; + *pScr1++ = 0; + *pScr1++ = 0; + *pScr1++ = 0; + + /* Decrement the loop counter */ + k--; + } + + /* If the count is not a multiple of 4, copy remaining samples here. + ** No loop unrolling is used. */ + k = (srcBLen - 1U) % 0x4U; + + while (k > 0U) + { + /* copy second buffer in reversal manner for remaining samples */ + *pScr1++ = 0; + + /* Decrement the loop counter */ + k--; + } + +#endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */ + + /* Temporary pointer for second sequence */ + py = pScratch2; + + /* Initialization of pScr2 pointer */ + pScr2 = pScratch2; + + /* Actual correlation process starts here */ + blkCnt = (srcALen + srcBLen - 1U) >> 2; + + while (blkCnt > 0) + { + /* Initialze temporary scratch pointer as scratch1 */ + pScr1 = pScratch1; + + /* Clear Accumlators */ + acc0 = 0; + acc1 = 0; + acc2 = 0; + acc3 = 0; + + /* Read two samples from scratch1 buffer */ + x1 = *__SIMD32(pScr1)++; + + /* Read next two samples from scratch1 buffer */ + x2 = *__SIMD32(pScr1)++; + + tapCnt = (srcBLen) >> 2U; + + while (tapCnt > 0U) + { + + /* Read four samples from smaller buffer */ + y1 = _SIMD32_OFFSET(pScr2); + + /* multiply and accumlate */ + acc0 = __SMLAD(x1, y1, acc0); + acc2 = __SMLAD(x2, y1, acc2); + + /* pack input data */ +#ifndef ARM_MATH_BIG_ENDIAN + x3 = __PKHBT(x2, x1, 0); +#else + x3 = __PKHBT(x1, x2, 0); +#endif + + /* multiply and accumlate */ + acc1 = __SMLADX(x3, y1, acc1); + + /* Read next two samples from scratch1 buffer */ + x1 = *__SIMD32(pScr1)++; + + /* pack input data */ +#ifndef ARM_MATH_BIG_ENDIAN + x3 = __PKHBT(x1, x2, 0); +#else + x3 = __PKHBT(x2, x1, 0); +#endif + + acc3 = __SMLADX(x3, y1, acc3); + + /* Read four samples from smaller buffer */ + y1 = _SIMD32_OFFSET(pScr2 + 2U); + + acc0 = __SMLAD(x2, y1, acc0); + + acc2 = __SMLAD(x1, y1, acc2); + + acc1 = __SMLADX(x3, y1, acc1); + + x2 = *__SIMD32(pScr1)++; + +#ifndef ARM_MATH_BIG_ENDIAN + x3 = __PKHBT(x2, x1, 0); +#else + x3 = __PKHBT(x1, x2, 0); +#endif + + acc3 = __SMLADX(x3, y1, acc3); + + pScr2 += 4U; + + + /* Decrement the loop counter */ + tapCnt--; + } + + + + /* Update scratch pointer for remaining samples of smaller length sequence */ + pScr1 -= 4U; + + + /* apply same above for remaining samples of smaller length sequence */ + tapCnt = (srcBLen) & 3U; + + while (tapCnt > 0U) + { + + /* accumlate the results */ + acc0 += (*pScr1++ * *pScr2); + acc1 += (*pScr1++ * *pScr2); + acc2 += (*pScr1++ * *pScr2); + acc3 += (*pScr1++ * *pScr2++); + + pScr1 -= 3U; + + /* Decrement the loop counter */ + tapCnt--; + } + + blkCnt--; + + /* Store the result in the accumulator in the destination buffer. */ + *pOut = (q7_t) (__SSAT(acc0 >> 7U, 8)); + pOut += inc; + *pOut = (q7_t) (__SSAT(acc1 >> 7U, 8)); + pOut += inc; + *pOut = (q7_t) (__SSAT(acc2 >> 7U, 8)); + pOut += inc; + *pOut = (q7_t) (__SSAT(acc3 >> 7U, 8)); + pOut += inc; + + /* Initialization of inputB pointer */ + pScr2 = py; + + pScratch1 += 4U; + + } + + + blkCnt = (srcALen + srcBLen - 1U) & 0x3; + + /* Calculate correlation for remaining samples of Bigger length sequence */ + while (blkCnt > 0) + { + /* Initialze temporary scratch pointer as scratch1 */ + pScr1 = pScratch1; + + /* Clear Accumlators */ + acc0 = 0; + + tapCnt = (srcBLen) >> 1U; + + while (tapCnt > 0U) + { + acc0 += (*pScr1++ * *pScr2++); + acc0 += (*pScr1++ * *pScr2++); + + /* Decrement the loop counter */ + tapCnt--; + } + + tapCnt = (srcBLen) & 1U; + + /* apply same above for remaining samples of smaller length sequence */ + while (tapCnt > 0U) + { + + /* accumlate the results */ + acc0 += (*pScr1++ * *pScr2++); + + /* Decrement the loop counter */ + tapCnt--; + } + + blkCnt--; + + /* Store the result in the accumulator in the destination buffer. */ + *pOut = (q7_t) (__SSAT(acc0 >> 7U, 8)); + + pOut += inc; + + /* Initialization of inputB pointer */ + pScr2 = py; + + pScratch1 += 1U; + + } + +} + +/** + * @} end of Corr group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_q15.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_q15.c new file mode 100644 index 0000000..fdff6db --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_q15.c @@ -0,0 +1,707 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_correlate_q15.c + * Description: Correlation of Q15 sequences + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupFilters + */ + +/** + * @addtogroup Corr + * @{ + */ + +/** + * @brief Correlation of Q15 sequences. + * @param[in] *pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] *pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] *pDst points to the location where the output result is written. Length 2 * max(srcALen, srcBLen) - 1. + * @return none. + * + * @details + * Scaling and Overflow Behavior: + * + * \par + * The function is implemented using a 64-bit internal accumulator. + * Both inputs are in 1.15 format and multiplications yield a 2.30 result. + * The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format. + * This approach provides 33 guard bits and there is no risk of overflow. + * The 34.30 result is then truncated to 34.15 format by discarding the low 15 bits and then saturated to 1.15 format. + * + * \par + * Refer to arm_correlate_fast_q15() for a faster but less precise version of this function for Cortex-M3 and Cortex-M4. + * + * \par + * Refer the function arm_correlate_opt_q15() for a faster implementation of this function using scratch buffers. + * + */ + +void arm_correlate_q15( + q15_t * pSrcA, + uint32_t srcALen, + q15_t * pSrcB, + uint32_t srcBLen, + q15_t * pDst) +{ + +#if (defined(ARM_MATH_CM7) || defined(ARM_MATH_CM4) || defined(ARM_MATH_CM3)) && !defined(UNALIGNED_SUPPORT_DISABLE) + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + q15_t *pIn1; /* inputA pointer */ + q15_t *pIn2; /* inputB pointer */ + q15_t *pOut = pDst; /* output pointer */ + q63_t sum, acc0, acc1, acc2, acc3; /* Accumulators */ + q15_t *px; /* Intermediate inputA pointer */ + q15_t *py; /* Intermediate inputB pointer */ + q15_t *pSrc1; /* Intermediate pointers */ + q31_t x0, x1, x2, x3, c0; /* temporary variables for holding input and coefficient values */ + uint32_t j, k = 0U, count, blkCnt, outBlockSize, blockSize1, blockSize2, blockSize3; /* loop counter */ + int32_t inc = 1; /* Destination address modifier */ + + + /* The algorithm implementation is based on the lengths of the inputs. */ + /* srcB is always made to slide across srcA. */ + /* So srcBLen is always considered as shorter or equal to srcALen */ + /* But CORR(x, y) is reverse of CORR(y, x) */ + /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */ + /* and the destination pointer modifier, inc is set to -1 */ + /* If srcALen > srcBLen, zero pad has to be done to srcB to make the two inputs of same length */ + /* But to improve the performance, + * we include zeroes in the output instead of zero padding either of the the inputs*/ + /* If srcALen > srcBLen, + * (srcALen - srcBLen) zeroes has to included in the starting of the output buffer */ + /* If srcALen < srcBLen, + * (srcALen - srcBLen) zeroes has to included in the ending of the output buffer */ + if (srcALen >= srcBLen) + { + /* Initialization of inputA pointer */ + pIn1 = (pSrcA); + + /* Initialization of inputB pointer */ + pIn2 = (pSrcB); + + /* Number of output samples is calculated */ + outBlockSize = (2U * srcALen) - 1U; + + /* When srcALen > srcBLen, zero padding is done to srcB + * to make their lengths equal. + * Instead, (outBlockSize - (srcALen + srcBLen - 1)) + * number of output samples are made zero */ + j = outBlockSize - (srcALen + (srcBLen - 1U)); + + /* Updating the pointer position to non zero value */ + pOut += j; + + } + else + { + /* Initialization of inputA pointer */ + pIn1 = (pSrcB); + + /* Initialization of inputB pointer */ + pIn2 = (pSrcA); + + /* srcBLen is always considered as shorter or equal to srcALen */ + j = srcBLen; + srcBLen = srcALen; + srcALen = j; + + /* CORR(x, y) = Reverse order(CORR(y, x)) */ + /* Hence set the destination pointer to point to the last output sample */ + pOut = pDst + ((srcALen + srcBLen) - 2U); + + /* Destination address modifier is set to -1 */ + inc = -1; + + } + + /* The function is internally + * divided into three parts according to the number of multiplications that has to be + * taken place between inputA samples and inputB samples. In the first part of the + * algorithm, the multiplications increase by one for every iteration. + * In the second part of the algorithm, srcBLen number of multiplications are done. + * In the third part of the algorithm, the multiplications decrease by one + * for every iteration.*/ + /* The algorithm is implemented in three stages. + * The loop counters of each stage is initiated here. */ + blockSize1 = srcBLen - 1U; + blockSize2 = srcALen - (srcBLen - 1U); + blockSize3 = blockSize1; + + /* -------------------------- + * Initializations of stage1 + * -------------------------*/ + + /* sum = x[0] * y[srcBlen - 1] + * sum = x[0] * y[srcBlen - 2] + x[1] * y[srcBlen - 1] + * .... + * sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen - 1] * y[srcBLen - 1] + */ + + /* In this stage the MAC operations are increased by 1 for every iteration. + The count variable holds the number of MAC operations performed */ + count = 1U; + + /* Working pointer of inputA */ + px = pIn1; + + /* Working pointer of inputB */ + pSrc1 = pIn2 + (srcBLen - 1U); + py = pSrc1; + + /* ------------------------ + * Stage1 process + * ----------------------*/ + + /* The first loop starts here */ + while (blockSize1 > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = count >> 2; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* x[0] * y[srcBLen - 4] , x[1] * y[srcBLen - 3] */ + sum = __SMLALD(*__SIMD32(px)++, *__SIMD32(py)++, sum); + /* x[3] * y[srcBLen - 1] , x[2] * y[srcBLen - 2] */ + sum = __SMLALD(*__SIMD32(px)++, *__SIMD32(py)++, sum); + + /* Decrement the loop counter */ + k--; + } + + /* If the count is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = count % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + /* x[0] * y[srcBLen - 1] */ + sum = __SMLALD(*px++, *py++, sum); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut = (q15_t) (__SSAT((sum >> 15), 16)); + /* Destination pointer is updated according to the address modifier, inc */ + pOut += inc; + + /* Update the inputA and inputB pointers for next MAC calculation */ + py = pSrc1 - count; + px = pIn1; + + /* Increment the MAC count */ + count++; + + /* Decrement the loop counter */ + blockSize1--; + } + + /* -------------------------- + * Initializations of stage2 + * ------------------------*/ + + /* sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen-1] * y[srcBLen-1] + * sum = x[1] * y[0] + x[2] * y[1] +...+ x[srcBLen] * y[srcBLen-1] + * .... + * sum = x[srcALen-srcBLen-2] * y[0] + x[srcALen-srcBLen-1] * y[1] +...+ x[srcALen-1] * y[srcBLen-1] + */ + + /* Working pointer of inputA */ + px = pIn1; + + /* Working pointer of inputB */ + py = pIn2; + + /* count is index by which the pointer pIn1 to be incremented */ + count = 0U; + + /* ------------------- + * Stage2 process + * ------------------*/ + + /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed. + * So, to loop unroll over blockSize2, + * srcBLen should be greater than or equal to 4, to loop unroll the srcBLen loop */ + if (srcBLen >= 4U) + { + /* Loop unroll over blockSize2, by 4 */ + blkCnt = blockSize2 >> 2U; + + while (blkCnt > 0U) + { + /* Set all accumulators to zero */ + acc0 = 0; + acc1 = 0; + acc2 = 0; + acc3 = 0; + + /* read x[0], x[1] samples */ + x0 = *__SIMD32(px); + /* read x[1], x[2] samples */ + x1 = _SIMD32_OFFSET(px + 1); + px += 2U; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = srcBLen >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + do + { + /* Read the first two inputB samples using SIMD: + * y[0] and y[1] */ + c0 = *__SIMD32(py)++; + + /* acc0 += x[0] * y[0] + x[1] * y[1] */ + acc0 = __SMLALD(x0, c0, acc0); + + /* acc1 += x[1] * y[0] + x[2] * y[1] */ + acc1 = __SMLALD(x1, c0, acc1); + + /* Read x[2], x[3] */ + x2 = *__SIMD32(px); + + /* Read x[3], x[4] */ + x3 = _SIMD32_OFFSET(px + 1); + + /* acc2 += x[2] * y[0] + x[3] * y[1] */ + acc2 = __SMLALD(x2, c0, acc2); + + /* acc3 += x[3] * y[0] + x[4] * y[1] */ + acc3 = __SMLALD(x3, c0, acc3); + + /* Read y[2] and y[3] */ + c0 = *__SIMD32(py)++; + + /* acc0 += x[2] * y[2] + x[3] * y[3] */ + acc0 = __SMLALD(x2, c0, acc0); + + /* acc1 += x[3] * y[2] + x[4] * y[3] */ + acc1 = __SMLALD(x3, c0, acc1); + + /* Read x[4], x[5] */ + x0 = _SIMD32_OFFSET(px + 2); + + /* Read x[5], x[6] */ + x1 = _SIMD32_OFFSET(px + 3); + + px += 4U; + + /* acc2 += x[4] * y[2] + x[5] * y[3] */ + acc2 = __SMLALD(x0, c0, acc2); + + /* acc3 += x[5] * y[2] + x[6] * y[3] */ + acc3 = __SMLALD(x1, c0, acc3); + + } while (--k); + + /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = srcBLen % 0x4U; + + if (k == 1U) + { + /* Read y[4] */ + c0 = *py; +#ifdef ARM_MATH_BIG_ENDIAN + + c0 = c0 << 16U; + +#else + + c0 = c0 & 0x0000FFFF; + +#endif /* #ifdef ARM_MATH_BIG_ENDIAN */ + /* Read x[7] */ + x3 = *__SIMD32(px); + px++; + + /* Perform the multiply-accumulates */ + acc0 = __SMLALD(x0, c0, acc0); + acc1 = __SMLALD(x1, c0, acc1); + acc2 = __SMLALDX(x1, c0, acc2); + acc3 = __SMLALDX(x3, c0, acc3); + } + + if (k == 2U) + { + /* Read y[4], y[5] */ + c0 = *__SIMD32(py); + + /* Read x[7], x[8] */ + x3 = *__SIMD32(px); + + /* Read x[9] */ + x2 = _SIMD32_OFFSET(px + 1); + px += 2U; + + /* Perform the multiply-accumulates */ + acc0 = __SMLALD(x0, c0, acc0); + acc1 = __SMLALD(x1, c0, acc1); + acc2 = __SMLALD(x3, c0, acc2); + acc3 = __SMLALD(x2, c0, acc3); + } + + if (k == 3U) + { + /* Read y[4], y[5] */ + c0 = *__SIMD32(py)++; + + /* Read x[7], x[8] */ + x3 = *__SIMD32(px); + + /* Read x[9] */ + x2 = _SIMD32_OFFSET(px + 1); + + /* Perform the multiply-accumulates */ + acc0 = __SMLALD(x0, c0, acc0); + acc1 = __SMLALD(x1, c0, acc1); + acc2 = __SMLALD(x3, c0, acc2); + acc3 = __SMLALD(x2, c0, acc3); + + c0 = (*py); + + /* Read y[6] */ +#ifdef ARM_MATH_BIG_ENDIAN + + c0 = c0 << 16U; +#else + + c0 = c0 & 0x0000FFFF; +#endif /* #ifdef ARM_MATH_BIG_ENDIAN */ + /* Read x[10] */ + x3 = _SIMD32_OFFSET(px + 2); + px += 3U; + + /* Perform the multiply-accumulates */ + acc0 = __SMLALDX(x1, c0, acc0); + acc1 = __SMLALD(x2, c0, acc1); + acc2 = __SMLALDX(x2, c0, acc2); + acc3 = __SMLALDX(x3, c0, acc3); + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut = (q15_t) (__SSAT(acc0 >> 15, 16)); + /* Destination pointer is updated according to the address modifier, inc */ + pOut += inc; + + *pOut = (q15_t) (__SSAT(acc1 >> 15, 16)); + pOut += inc; + + *pOut = (q15_t) (__SSAT(acc2 >> 15, 16)); + pOut += inc; + + *pOut = (q15_t) (__SSAT(acc3 >> 15, 16)); + pOut += inc; + + /* Increment the count by 4 as 4 output values are computed */ + count += 4U; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pIn2; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize2 % 0x4U; + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = srcBLen >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum += ((q63_t) * px++ * *py++); + sum += ((q63_t) * px++ * *py++); + sum += ((q63_t) * px++ * *py++); + sum += ((q63_t) * px++ * *py++); + + /* Decrement the loop counter */ + k--; + } + + /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = srcBLen % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum += ((q63_t) * px++ * *py++); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut = (q15_t) (__SSAT(sum >> 15, 16)); + /* Destination pointer is updated according to the address modifier, inc */ + pOut += inc; + + /* Increment count by 1, as one output value is computed */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pIn2; + + /* Decrement the loop counter */ + blkCnt--; + } + } + else + { + /* If the srcBLen is not a multiple of 4, + * the blockSize2 loop cannot be unrolled by 4 */ + blkCnt = blockSize2; + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Loop over srcBLen */ + k = srcBLen; + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum += ((q63_t) * px++ * *py++); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut = (q15_t) (__SSAT(sum >> 15, 16)); + /* Destination pointer is updated according to the address modifier, inc */ + pOut += inc; + + /* Increment the MAC count */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pIn2; + + /* Decrement the loop counter */ + blkCnt--; + } + } + + /* -------------------------- + * Initializations of stage3 + * -------------------------*/ + + /* sum += x[srcALen-srcBLen+1] * y[0] + x[srcALen-srcBLen+2] * y[1] +...+ x[srcALen-1] * y[srcBLen-1] + * sum += x[srcALen-srcBLen+2] * y[0] + x[srcALen-srcBLen+3] * y[1] +...+ x[srcALen-1] * y[srcBLen-1] + * .... + * sum += x[srcALen-2] * y[0] + x[srcALen-1] * y[1] + * sum += x[srcALen-1] * y[0] + */ + + /* In this stage the MAC operations are decreased by 1 for every iteration. + The count variable holds the number of MAC operations performed */ + count = srcBLen - 1U; + + /* Working pointer of inputA */ + pSrc1 = (pIn1 + srcALen) - (srcBLen - 1U); + px = pSrc1; + + /* Working pointer of inputB */ + py = pIn2; + + /* ------------------- + * Stage3 process + * ------------------*/ + + while (blockSize3 > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = count >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* Perform the multiply-accumulates */ + /* sum += x[srcALen - srcBLen + 4] * y[3] , sum += x[srcALen - srcBLen + 3] * y[2] */ + sum = __SMLALD(*__SIMD32(px)++, *__SIMD32(py)++, sum); + /* sum += x[srcALen - srcBLen + 2] * y[1] , sum += x[srcALen - srcBLen + 1] * y[0] */ + sum = __SMLALD(*__SIMD32(px)++, *__SIMD32(py)++, sum); + + /* Decrement the loop counter */ + k--; + } + + /* If the count is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = count % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum = __SMLALD(*px++, *py++, sum); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut = (q15_t) (__SSAT((sum >> 15), 16)); + /* Destination pointer is updated according to the address modifier, inc */ + pOut += inc; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = ++pSrc1; + py = pIn2; + + /* Decrement the MAC count */ + count--; + + /* Decrement the loop counter */ + blockSize3--; + } + +#else + +/* Run the below code for Cortex-M0 */ + + q15_t *pIn1 = pSrcA; /* inputA pointer */ + q15_t *pIn2 = pSrcB + (srcBLen - 1U); /* inputB pointer */ + q63_t sum; /* Accumulators */ + uint32_t i = 0U, j; /* loop counters */ + uint32_t inv = 0U; /* Reverse order flag */ + uint32_t tot = 0U; /* Length */ + + /* The algorithm implementation is based on the lengths of the inputs. */ + /* srcB is always made to slide across srcA. */ + /* So srcBLen is always considered as shorter or equal to srcALen */ + /* But CORR(x, y) is reverse of CORR(y, x) */ + /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */ + /* and a varaible, inv is set to 1 */ + /* If lengths are not equal then zero pad has to be done to make the two + * inputs of same length. But to improve the performance, we include zeroes + * in the output instead of zero padding either of the the inputs*/ + /* If srcALen > srcBLen, (srcALen - srcBLen) zeroes has to included in the + * starting of the output buffer */ + /* If srcALen < srcBLen, (srcALen - srcBLen) zeroes has to included in the + * ending of the output buffer */ + /* Once the zero padding is done the remaining of the output is calcualted + * using convolution but with the shorter signal time shifted. */ + + /* Calculate the length of the remaining sequence */ + tot = ((srcALen + srcBLen) - 2U); + + if (srcALen > srcBLen) + { + /* Calculating the number of zeros to be padded to the output */ + j = srcALen - srcBLen; + + /* Initialise the pointer after zero padding */ + pDst += j; + } + + else if (srcALen < srcBLen) + { + /* Initialization to inputB pointer */ + pIn1 = pSrcB; + + /* Initialization to the end of inputA pointer */ + pIn2 = pSrcA + (srcALen - 1U); + + /* Initialisation of the pointer after zero padding */ + pDst = pDst + tot; + + /* Swapping the lengths */ + j = srcALen; + srcALen = srcBLen; + srcBLen = j; + + /* Setting the reverse flag */ + inv = 1; + + } + + /* Loop to calculate convolution for output length number of times */ + for (i = 0U; i <= tot; i++) + { + /* Initialize sum with zero to carry on MAC operations */ + sum = 0; + + /* Loop to perform MAC operations according to convolution equation */ + for (j = 0U; j <= i; j++) + { + /* Check the array limitations */ + if ((((i - j) < srcBLen) && (j < srcALen))) + { + /* z[i] += x[i-j] * y[j] */ + sum += ((q31_t) pIn1[j] * pIn2[-((int32_t) i - j)]); + } + } + /* Store the output in the destination buffer */ + if (inv == 1) + *pDst-- = (q15_t) __SSAT((sum >> 15U), 16U); + else + *pDst++ = (q15_t) __SSAT((sum >> 15U), 16U); + } + +#endif /* #if (defined(ARM_MATH_CM7) || defined(ARM_MATH_CM4) || defined(ARM_MATH_CM3)) && !defined(UNALIGNED_SUPPORT_DISABLE) */ + +} + +/** + * @} end of Corr group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_q31.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_q31.c new file mode 100644 index 0000000..f2e946a --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_q31.c @@ -0,0 +1,653 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_correlate_q31.c + * Description: Correlation of Q31 sequences + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupFilters + */ + +/** + * @addtogroup Corr + * @{ + */ + +/** + * @brief Correlation of Q31 sequences. + * @param[in] *pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] *pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] *pDst points to the location where the output result is written. Length 2 * max(srcALen, srcBLen) - 1. + * @return none. + * + * @details + * Scaling and Overflow Behavior: + * + * \par + * The function is implemented using an internal 64-bit accumulator. + * The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit. + * There is no saturation on intermediate additions. + * Thus, if the accumulator overflows it wraps around and distorts the result. + * The input signals should be scaled down to avoid intermediate overflows. + * Scale down one of the inputs by 1/min(srcALen, srcBLen)to avoid overflows since a + * maximum of min(srcALen, srcBLen) number of additions is carried internally. + * The 2.62 accumulator is right shifted by 31 bits and saturated to 1.31 format to yield the final result. + * + * \par + * See arm_correlate_fast_q31() for a faster but less precise implementation of this function for Cortex-M3 and Cortex-M4. + */ + +void arm_correlate_q31( + q31_t * pSrcA, + uint32_t srcALen, + q31_t * pSrcB, + uint32_t srcBLen, + q31_t * pDst) +{ + +#if defined (ARM_MATH_DSP) + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + q31_t *pIn1; /* inputA pointer */ + q31_t *pIn2; /* inputB pointer */ + q31_t *pOut = pDst; /* output pointer */ + q31_t *px; /* Intermediate inputA pointer */ + q31_t *py; /* Intermediate inputB pointer */ + q31_t *pSrc1; /* Intermediate pointers */ + q63_t sum, acc0, acc1, acc2; /* Accumulators */ + q31_t x0, x1, x2, c0; /* temporary variables for holding input and coefficient values */ + uint32_t j, k = 0U, count, blkCnt, outBlockSize, blockSize1, blockSize2, blockSize3; /* loop counter */ + int32_t inc = 1; /* Destination address modifier */ + + + /* The algorithm implementation is based on the lengths of the inputs. */ + /* srcB is always made to slide across srcA. */ + /* So srcBLen is always considered as shorter or equal to srcALen */ + /* But CORR(x, y) is reverse of CORR(y, x) */ + /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */ + /* and the destination pointer modifier, inc is set to -1 */ + /* If srcALen > srcBLen, zero pad has to be done to srcB to make the two inputs of same length */ + /* But to improve the performance, + * we include zeroes in the output instead of zero padding either of the the inputs*/ + /* If srcALen > srcBLen, + * (srcALen - srcBLen) zeroes has to included in the starting of the output buffer */ + /* If srcALen < srcBLen, + * (srcALen - srcBLen) zeroes has to included in the ending of the output buffer */ + if (srcALen >= srcBLen) + { + /* Initialization of inputA pointer */ + pIn1 = (pSrcA); + + /* Initialization of inputB pointer */ + pIn2 = (pSrcB); + + /* Number of output samples is calculated */ + outBlockSize = (2U * srcALen) - 1U; + + /* When srcALen > srcBLen, zero padding is done to srcB + * to make their lengths equal. + * Instead, (outBlockSize - (srcALen + srcBLen - 1)) + * number of output samples are made zero */ + j = outBlockSize - (srcALen + (srcBLen - 1U)); + + /* Updating the pointer position to non zero value */ + pOut += j; + + } + else + { + /* Initialization of inputA pointer */ + pIn1 = (pSrcB); + + /* Initialization of inputB pointer */ + pIn2 = (pSrcA); + + /* srcBLen is always considered as shorter or equal to srcALen */ + j = srcBLen; + srcBLen = srcALen; + srcALen = j; + + /* CORR(x, y) = Reverse order(CORR(y, x)) */ + /* Hence set the destination pointer to point to the last output sample */ + pOut = pDst + ((srcALen + srcBLen) - 2U); + + /* Destination address modifier is set to -1 */ + inc = -1; + + } + + /* The function is internally + * divided into three parts according to the number of multiplications that has to be + * taken place between inputA samples and inputB samples. In the first part of the + * algorithm, the multiplications increase by one for every iteration. + * In the second part of the algorithm, srcBLen number of multiplications are done. + * In the third part of the algorithm, the multiplications decrease by one + * for every iteration.*/ + /* The algorithm is implemented in three stages. + * The loop counters of each stage is initiated here. */ + blockSize1 = srcBLen - 1U; + blockSize2 = srcALen - (srcBLen - 1U); + blockSize3 = blockSize1; + + /* -------------------------- + * Initializations of stage1 + * -------------------------*/ + + /* sum = x[0] * y[srcBlen - 1] + * sum = x[0] * y[srcBlen - 2] + x[1] * y[srcBlen - 1] + * .... + * sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen - 1] * y[srcBLen - 1] + */ + + /* In this stage the MAC operations are increased by 1 for every iteration. + The count variable holds the number of MAC operations performed */ + count = 1U; + + /* Working pointer of inputA */ + px = pIn1; + + /* Working pointer of inputB */ + pSrc1 = pIn2 + (srcBLen - 1U); + py = pSrc1; + + /* ------------------------ + * Stage1 process + * ----------------------*/ + + /* The first stage starts here */ + while (blockSize1 > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = count >> 2; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* x[0] * y[srcBLen - 4] */ + sum += (q63_t) * px++ * (*py++); + /* x[1] * y[srcBLen - 3] */ + sum += (q63_t) * px++ * (*py++); + /* x[2] * y[srcBLen - 2] */ + sum += (q63_t) * px++ * (*py++); + /* x[3] * y[srcBLen - 1] */ + sum += (q63_t) * px++ * (*py++); + + /* Decrement the loop counter */ + k--; + } + + /* If the count is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = count % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + /* x[0] * y[srcBLen - 1] */ + sum += (q63_t) * px++ * (*py++); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut = (q31_t) (sum >> 31); + /* Destination pointer is updated according to the address modifier, inc */ + pOut += inc; + + /* Update the inputA and inputB pointers for next MAC calculation */ + py = pSrc1 - count; + px = pIn1; + + /* Increment the MAC count */ + count++; + + /* Decrement the loop counter */ + blockSize1--; + } + + /* -------------------------- + * Initializations of stage2 + * ------------------------*/ + + /* sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen-1] * y[srcBLen-1] + * sum = x[1] * y[0] + x[2] * y[1] +...+ x[srcBLen] * y[srcBLen-1] + * .... + * sum = x[srcALen-srcBLen-2] * y[0] + x[srcALen-srcBLen-1] * y[1] +...+ x[srcALen-1] * y[srcBLen-1] + */ + + /* Working pointer of inputA */ + px = pIn1; + + /* Working pointer of inputB */ + py = pIn2; + + /* count is index by which the pointer pIn1 to be incremented */ + count = 0U; + + /* ------------------- + * Stage2 process + * ------------------*/ + + /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed. + * So, to loop unroll over blockSize2, + * srcBLen should be greater than or equal to 4 */ + if (srcBLen >= 4U) + { + /* Loop unroll by 3 */ + blkCnt = blockSize2 / 3; + + while (blkCnt > 0U) + { + /* Set all accumulators to zero */ + acc0 = 0; + acc1 = 0; + acc2 = 0; + + /* read x[0], x[1] samples */ + x0 = *(px++); + x1 = *(px++); + + /* Apply loop unrolling and compute 3 MACs simultaneously. */ + k = srcBLen / 3; + + /* First part of the processing with loop unrolling. Compute 3 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 2 samples. */ + do + { + /* Read y[0] sample */ + c0 = *(py); + + /* Read x[2] sample */ + x2 = *(px); + + /* Perform the multiply-accumulate */ + /* acc0 += x[0] * y[0] */ + acc0 += ((q63_t) x0 * c0); + /* acc1 += x[1] * y[0] */ + acc1 += ((q63_t) x1 * c0); + /* acc2 += x[2] * y[0] */ + acc2 += ((q63_t) x2 * c0); + + /* Read y[1] sample */ + c0 = *(py + 1U); + + /* Read x[3] sample */ + x0 = *(px + 1U); + + /* Perform the multiply-accumulates */ + /* acc0 += x[1] * y[1] */ + acc0 += ((q63_t) x1 * c0); + /* acc1 += x[2] * y[1] */ + acc1 += ((q63_t) x2 * c0); + /* acc2 += x[3] * y[1] */ + acc2 += ((q63_t) x0 * c0); + + /* Read y[2] sample */ + c0 = *(py + 2U); + + /* Read x[4] sample */ + x1 = *(px + 2U); + + /* Perform the multiply-accumulates */ + /* acc0 += x[2] * y[2] */ + acc0 += ((q63_t) x2 * c0); + /* acc1 += x[3] * y[2] */ + acc1 += ((q63_t) x0 * c0); + /* acc2 += x[4] * y[2] */ + acc2 += ((q63_t) x1 * c0); + + /* update scratch pointers */ + px += 3U; + py += 3U; + + } while (--k); + + /* If the srcBLen is not a multiple of 3, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = srcBLen - (3 * (srcBLen / 3)); + + while (k > 0U) + { + /* Read y[4] sample */ + c0 = *(py++); + + /* Read x[7] sample */ + x2 = *(px++); + + /* Perform the multiply-accumulates */ + /* acc0 += x[4] * y[4] */ + acc0 += ((q63_t) x0 * c0); + /* acc1 += x[5] * y[4] */ + acc1 += ((q63_t) x1 * c0); + /* acc2 += x[6] * y[4] */ + acc2 += ((q63_t) x2 * c0); + + /* Reuse the present samples for the next MAC */ + x0 = x1; + x1 = x2; + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut = (q31_t) (acc0 >> 31); + /* Destination pointer is updated according to the address modifier, inc */ + pOut += inc; + + *pOut = (q31_t) (acc1 >> 31); + pOut += inc; + + *pOut = (q31_t) (acc2 >> 31); + pOut += inc; + + /* Increment the pointer pIn1 index, count by 3 */ + count += 3U; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pIn2; + + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize2 is not a multiple of 3, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize2 - 3 * (blockSize2 / 3); + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = srcBLen >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum += (q63_t) * px++ * (*py++); + sum += (q63_t) * px++ * (*py++); + sum += (q63_t) * px++ * (*py++); + sum += (q63_t) * px++ * (*py++); + + /* Decrement the loop counter */ + k--; + } + + /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = srcBLen % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum += (q63_t) * px++ * (*py++); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut = (q31_t) (sum >> 31); + /* Destination pointer is updated according to the address modifier, inc */ + pOut += inc; + + /* Increment the MAC count */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pIn2; + + /* Decrement the loop counter */ + blkCnt--; + } + } + else + { + /* If the srcBLen is not a multiple of 4, + * the blockSize2 loop cannot be unrolled by 4 */ + blkCnt = blockSize2; + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Loop over srcBLen */ + k = srcBLen; + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum += (q63_t) * px++ * (*py++); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut = (q31_t) (sum >> 31); + /* Destination pointer is updated according to the address modifier, inc */ + pOut += inc; + + /* Increment the MAC count */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pIn2; + + /* Decrement the loop counter */ + blkCnt--; + } + } + + /* -------------------------- + * Initializations of stage3 + * -------------------------*/ + + /* sum += x[srcALen-srcBLen+1] * y[0] + x[srcALen-srcBLen+2] * y[1] +...+ x[srcALen-1] * y[srcBLen-1] + * sum += x[srcALen-srcBLen+2] * y[0] + x[srcALen-srcBLen+3] * y[1] +...+ x[srcALen-1] * y[srcBLen-1] + * .... + * sum += x[srcALen-2] * y[0] + x[srcALen-1] * y[1] + * sum += x[srcALen-1] * y[0] + */ + + /* In this stage the MAC operations are decreased by 1 for every iteration. + The count variable holds the number of MAC operations performed */ + count = srcBLen - 1U; + + /* Working pointer of inputA */ + pSrc1 = pIn1 + (srcALen - (srcBLen - 1U)); + px = pSrc1; + + /* Working pointer of inputB */ + py = pIn2; + + /* ------------------- + * Stage3 process + * ------------------*/ + + while (blockSize3 > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = count >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* Perform the multiply-accumulates */ + /* sum += x[srcALen - srcBLen + 4] * y[3] */ + sum += (q63_t) * px++ * (*py++); + /* sum += x[srcALen - srcBLen + 3] * y[2] */ + sum += (q63_t) * px++ * (*py++); + /* sum += x[srcALen - srcBLen + 2] * y[1] */ + sum += (q63_t) * px++ * (*py++); + /* sum += x[srcALen - srcBLen + 1] * y[0] */ + sum += (q63_t) * px++ * (*py++); + + /* Decrement the loop counter */ + k--; + } + + /* If the count is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = count % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum += (q63_t) * px++ * (*py++); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut = (q31_t) (sum >> 31); + /* Destination pointer is updated according to the address modifier, inc */ + pOut += inc; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = ++pSrc1; + py = pIn2; + + /* Decrement the MAC count */ + count--; + + /* Decrement the loop counter */ + blockSize3--; + } + +#else + + /* Run the below code for Cortex-M0 */ + + q31_t *pIn1 = pSrcA; /* inputA pointer */ + q31_t *pIn2 = pSrcB + (srcBLen - 1U); /* inputB pointer */ + q63_t sum; /* Accumulators */ + uint32_t i = 0U, j; /* loop counters */ + uint32_t inv = 0U; /* Reverse order flag */ + uint32_t tot = 0U; /* Length */ + + /* The algorithm implementation is based on the lengths of the inputs. */ + /* srcB is always made to slide across srcA. */ + /* So srcBLen is always considered as shorter or equal to srcALen */ + /* But CORR(x, y) is reverse of CORR(y, x) */ + /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */ + /* and a varaible, inv is set to 1 */ + /* If lengths are not equal then zero pad has to be done to make the two + * inputs of same length. But to improve the performance, we include zeroes + * in the output instead of zero padding either of the the inputs*/ + /* If srcALen > srcBLen, (srcALen - srcBLen) zeroes has to included in the + * starting of the output buffer */ + /* If srcALen < srcBLen, (srcALen - srcBLen) zeroes has to included in the + * ending of the output buffer */ + /* Once the zero padding is done the remaining of the output is calcualted + * using correlation but with the shorter signal time shifted. */ + + /* Calculate the length of the remaining sequence */ + tot = ((srcALen + srcBLen) - 2U); + + if (srcALen > srcBLen) + { + /* Calculating the number of zeros to be padded to the output */ + j = srcALen - srcBLen; + + /* Initialise the pointer after zero padding */ + pDst += j; + } + + else if (srcALen < srcBLen) + { + /* Initialization to inputB pointer */ + pIn1 = pSrcB; + + /* Initialization to the end of inputA pointer */ + pIn2 = pSrcA + (srcALen - 1U); + + /* Initialisation of the pointer after zero padding */ + pDst = pDst + tot; + + /* Swapping the lengths */ + j = srcALen; + srcALen = srcBLen; + srcBLen = j; + + /* Setting the reverse flag */ + inv = 1; + + } + + /* Loop to calculate correlation for output length number of times */ + for (i = 0U; i <= tot; i++) + { + /* Initialize sum with zero to carry on MAC operations */ + sum = 0; + + /* Loop to perform MAC operations according to correlation equation */ + for (j = 0U; j <= i; j++) + { + /* Check the array limitations */ + if ((((i - j) < srcBLen) && (j < srcALen))) + { + /* z[i] += x[i-j] * y[j] */ + sum += ((q63_t) pIn1[j] * pIn2[-((int32_t) i - j)]); + } + } + /* Store the output in the destination buffer */ + if (inv == 1) + *pDst-- = (q31_t) (sum >> 31U); + else + *pDst++ = (q31_t) (sum >> 31U); + } + +#endif /* #if defined (ARM_MATH_DSP) */ + +} + +/** + * @} end of Corr group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_q7.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_q7.c new file mode 100644 index 0000000..f8b1df5 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_q7.c @@ -0,0 +1,778 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_correlate_q7.c + * Description: Correlation of Q7 sequences + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupFilters + */ + +/** + * @addtogroup Corr + * @{ + */ + +/** + * @brief Correlation of Q7 sequences. + * @param[in] *pSrcA points to the first input sequence. + * @param[in] srcALen length of the first input sequence. + * @param[in] *pSrcB points to the second input sequence. + * @param[in] srcBLen length of the second input sequence. + * @param[out] *pDst points to the location where the output result is written. Length 2 * max(srcALen, srcBLen) - 1. + * @return none. + * + * @details + * Scaling and Overflow Behavior: + * + * \par + * The function is implemented using a 32-bit internal accumulator. + * Both the inputs are represented in 1.7 format and multiplications yield a 2.14 result. + * The 2.14 intermediate results are accumulated in a 32-bit accumulator in 18.14 format. + * This approach provides 17 guard bits and there is no risk of overflow as long as max(srcALen, srcBLen)<131072. + * The 18.14 result is then truncated to 18.7 format by discarding the low 7 bits and saturated to 1.7 format. + * + * \par + * Refer the function arm_correlate_opt_q7() for a faster implementation of this function. + * + */ + +void arm_correlate_q7( + q7_t * pSrcA, + uint32_t srcALen, + q7_t * pSrcB, + uint32_t srcBLen, + q7_t * pDst) +{ + + +#if defined (ARM_MATH_DSP) + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + q7_t *pIn1; /* inputA pointer */ + q7_t *pIn2; /* inputB pointer */ + q7_t *pOut = pDst; /* output pointer */ + q7_t *px; /* Intermediate inputA pointer */ + q7_t *py; /* Intermediate inputB pointer */ + q7_t *pSrc1; /* Intermediate pointers */ + q31_t sum, acc0, acc1, acc2, acc3; /* Accumulators */ + q31_t input1, input2; /* temporary variables */ + q15_t in1, in2; /* temporary variables */ + q7_t x0, x1, x2, x3, c0, c1; /* temporary variables for holding input and coefficient values */ + uint32_t j, k = 0U, count, blkCnt, outBlockSize, blockSize1, blockSize2, blockSize3; /* loop counter */ + int32_t inc = 1; + + + /* The algorithm implementation is based on the lengths of the inputs. */ + /* srcB is always made to slide across srcA. */ + /* So srcBLen is always considered as shorter or equal to srcALen */ + /* But CORR(x, y) is reverse of CORR(y, x) */ + /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */ + /* and the destination pointer modifier, inc is set to -1 */ + /* If srcALen > srcBLen, zero pad has to be done to srcB to make the two inputs of same length */ + /* But to improve the performance, + * we include zeroes in the output instead of zero padding either of the the inputs*/ + /* If srcALen > srcBLen, + * (srcALen - srcBLen) zeroes has to included in the starting of the output buffer */ + /* If srcALen < srcBLen, + * (srcALen - srcBLen) zeroes has to included in the ending of the output buffer */ + if (srcALen >= srcBLen) + { + /* Initialization of inputA pointer */ + pIn1 = (pSrcA); + + /* Initialization of inputB pointer */ + pIn2 = (pSrcB); + + /* Number of output samples is calculated */ + outBlockSize = (2U * srcALen) - 1U; + + /* When srcALen > srcBLen, zero padding is done to srcB + * to make their lengths equal. + * Instead, (outBlockSize - (srcALen + srcBLen - 1)) + * number of output samples are made zero */ + j = outBlockSize - (srcALen + (srcBLen - 1U)); + + /* Updating the pointer position to non zero value */ + pOut += j; + + } + else + { + /* Initialization of inputA pointer */ + pIn1 = (pSrcB); + + /* Initialization of inputB pointer */ + pIn2 = (pSrcA); + + /* srcBLen is always considered as shorter or equal to srcALen */ + j = srcBLen; + srcBLen = srcALen; + srcALen = j; + + /* CORR(x, y) = Reverse order(CORR(y, x)) */ + /* Hence set the destination pointer to point to the last output sample */ + pOut = pDst + ((srcALen + srcBLen) - 2U); + + /* Destination address modifier is set to -1 */ + inc = -1; + + } + + /* The function is internally + * divided into three parts according to the number of multiplications that has to be + * taken place between inputA samples and inputB samples. In the first part of the + * algorithm, the multiplications increase by one for every iteration. + * In the second part of the algorithm, srcBLen number of multiplications are done. + * In the third part of the algorithm, the multiplications decrease by one + * for every iteration.*/ + /* The algorithm is implemented in three stages. + * The loop counters of each stage is initiated here. */ + blockSize1 = srcBLen - 1U; + blockSize2 = srcALen - (srcBLen - 1U); + blockSize3 = blockSize1; + + /* -------------------------- + * Initializations of stage1 + * -------------------------*/ + + /* sum = x[0] * y[srcBlen - 1] + * sum = x[0] * y[srcBlen - 2] + x[1] * y[srcBlen - 1] + * .... + * sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen - 1] * y[srcBLen - 1] + */ + + /* In this stage the MAC operations are increased by 1 for every iteration. + The count variable holds the number of MAC operations performed */ + count = 1U; + + /* Working pointer of inputA */ + px = pIn1; + + /* Working pointer of inputB */ + pSrc1 = pIn2 + (srcBLen - 1U); + py = pSrc1; + + /* ------------------------ + * Stage1 process + * ----------------------*/ + + /* The first stage starts here */ + while (blockSize1 > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = count >> 2; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* x[0] , x[1] */ + in1 = (q15_t) * px++; + in2 = (q15_t) * px++; + input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); + + /* y[srcBLen - 4] , y[srcBLen - 3] */ + in1 = (q15_t) * py++; + in2 = (q15_t) * py++; + input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); + + /* x[0] * y[srcBLen - 4] */ + /* x[1] * y[srcBLen - 3] */ + sum = __SMLAD(input1, input2, sum); + + /* x[2] , x[3] */ + in1 = (q15_t) * px++; + in2 = (q15_t) * px++; + input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); + + /* y[srcBLen - 2] , y[srcBLen - 1] */ + in1 = (q15_t) * py++; + in2 = (q15_t) * py++; + input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); + + /* x[2] * y[srcBLen - 2] */ + /* x[3] * y[srcBLen - 1] */ + sum = __SMLAD(input1, input2, sum); + + + /* Decrement the loop counter */ + k--; + } + + /* If the count is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = count % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + /* x[0] * y[srcBLen - 1] */ + sum += (q31_t) ((q15_t) * px++ * *py++); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut = (q7_t) (__SSAT(sum >> 7, 8)); + /* Destination pointer is updated according to the address modifier, inc */ + pOut += inc; + + /* Update the inputA and inputB pointers for next MAC calculation */ + py = pSrc1 - count; + px = pIn1; + + /* Increment the MAC count */ + count++; + + /* Decrement the loop counter */ + blockSize1--; + } + + /* -------------------------- + * Initializations of stage2 + * ------------------------*/ + + /* sum = x[0] * y[0] + x[1] * y[1] +...+ x[srcBLen-1] * y[srcBLen-1] + * sum = x[1] * y[0] + x[2] * y[1] +...+ x[srcBLen] * y[srcBLen-1] + * .... + * sum = x[srcALen-srcBLen-2] * y[0] + x[srcALen-srcBLen-1] * y[1] +...+ x[srcALen-1] * y[srcBLen-1] + */ + + /* Working pointer of inputA */ + px = pIn1; + + /* Working pointer of inputB */ + py = pIn2; + + /* count is index by which the pointer pIn1 to be incremented */ + count = 0U; + + /* ------------------- + * Stage2 process + * ------------------*/ + + /* Stage2 depends on srcBLen as in this stage srcBLen number of MACS are performed. + * So, to loop unroll over blockSize2, + * srcBLen should be greater than or equal to 4 */ + if (srcBLen >= 4U) + { + /* Loop unroll over blockSize2, by 4 */ + blkCnt = blockSize2 >> 2U; + + while (blkCnt > 0U) + { + /* Set all accumulators to zero */ + acc0 = 0; + acc1 = 0; + acc2 = 0; + acc3 = 0; + + /* read x[0], x[1], x[2] samples */ + x0 = *px++; + x1 = *px++; + x2 = *px++; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = srcBLen >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + do + { + /* Read y[0] sample */ + c0 = *py++; + /* Read y[1] sample */ + c1 = *py++; + + /* Read x[3] sample */ + x3 = *px++; + + /* x[0] and x[1] are packed */ + in1 = (q15_t) x0; + in2 = (q15_t) x1; + + input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); + + /* y[0] and y[1] are packed */ + in1 = (q15_t) c0; + in2 = (q15_t) c1; + + input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); + + /* acc0 += x[0] * y[0] + x[1] * y[1] */ + acc0 = __SMLAD(input1, input2, acc0); + + /* x[1] and x[2] are packed */ + in1 = (q15_t) x1; + in2 = (q15_t) x2; + + input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); + + /* acc1 += x[1] * y[0] + x[2] * y[1] */ + acc1 = __SMLAD(input1, input2, acc1); + + /* x[2] and x[3] are packed */ + in1 = (q15_t) x2; + in2 = (q15_t) x3; + + input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); + + /* acc2 += x[2] * y[0] + x[3] * y[1] */ + acc2 = __SMLAD(input1, input2, acc2); + + /* Read x[4] sample */ + x0 = *(px++); + + /* x[3] and x[4] are packed */ + in1 = (q15_t) x3; + in2 = (q15_t) x0; + + input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); + + /* acc3 += x[3] * y[0] + x[4] * y[1] */ + acc3 = __SMLAD(input1, input2, acc3); + + /* Read y[2] sample */ + c0 = *py++; + /* Read y[3] sample */ + c1 = *py++; + + /* Read x[5] sample */ + x1 = *px++; + + /* x[2] and x[3] are packed */ + in1 = (q15_t) x2; + in2 = (q15_t) x3; + + input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); + + /* y[2] and y[3] are packed */ + in1 = (q15_t) c0; + in2 = (q15_t) c1; + + input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); + + /* acc0 += x[2] * y[2] + x[3] * y[3] */ + acc0 = __SMLAD(input1, input2, acc0); + + /* x[3] and x[4] are packed */ + in1 = (q15_t) x3; + in2 = (q15_t) x0; + + input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); + + /* acc1 += x[3] * y[2] + x[4] * y[3] */ + acc1 = __SMLAD(input1, input2, acc1); + + /* x[4] and x[5] are packed */ + in1 = (q15_t) x0; + in2 = (q15_t) x1; + + input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); + + /* acc2 += x[4] * y[2] + x[5] * y[3] */ + acc2 = __SMLAD(input1, input2, acc2); + + /* Read x[6] sample */ + x2 = *px++; + + /* x[5] and x[6] are packed */ + in1 = (q15_t) x1; + in2 = (q15_t) x2; + + input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); + + /* acc3 += x[5] * y[2] + x[6] * y[3] */ + acc3 = __SMLAD(input1, input2, acc3); + + } while (--k); + + /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = srcBLen % 0x4U; + + while (k > 0U) + { + /* Read y[4] sample */ + c0 = *py++; + + /* Read x[7] sample */ + x3 = *px++; + + /* Perform the multiply-accumulates */ + /* acc0 += x[4] * y[4] */ + acc0 += ((q15_t) x0 * c0); + /* acc1 += x[5] * y[4] */ + acc1 += ((q15_t) x1 * c0); + /* acc2 += x[6] * y[4] */ + acc2 += ((q15_t) x2 * c0); + /* acc3 += x[7] * y[4] */ + acc3 += ((q15_t) x3 * c0); + + /* Reuse the present samples for the next MAC */ + x0 = x1; + x1 = x2; + x2 = x3; + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut = (q7_t) (__SSAT(acc0 >> 7, 8)); + /* Destination pointer is updated according to the address modifier, inc */ + pOut += inc; + + *pOut = (q7_t) (__SSAT(acc1 >> 7, 8)); + pOut += inc; + + *pOut = (q7_t) (__SSAT(acc2 >> 7, 8)); + pOut += inc; + + *pOut = (q7_t) (__SSAT(acc3 >> 7, 8)); + pOut += inc; + + count += 4U; + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pIn2; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize2 is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize2 % 0x4U; + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = srcBLen >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* Reading two inputs of SrcA buffer and packing */ + in1 = (q15_t) * px++; + in2 = (q15_t) * px++; + input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); + + /* Reading two inputs of SrcB buffer and packing */ + in1 = (q15_t) * py++; + in2 = (q15_t) * py++; + input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); + + /* Perform the multiply-accumulates */ + sum = __SMLAD(input1, input2, sum); + + /* Reading two inputs of SrcA buffer and packing */ + in1 = (q15_t) * px++; + in2 = (q15_t) * px++; + input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); + + /* Reading two inputs of SrcB buffer and packing */ + in1 = (q15_t) * py++; + in2 = (q15_t) * py++; + input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); + + /* Perform the multiply-accumulates */ + sum = __SMLAD(input1, input2, sum); + + /* Decrement the loop counter */ + k--; + } + + /* If the srcBLen is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = srcBLen % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum += ((q15_t) * px++ * *py++); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut = (q7_t) (__SSAT(sum >> 7, 8)); + /* Destination pointer is updated according to the address modifier, inc */ + pOut += inc; + + /* Increment the pointer pIn1 index, count by 1 */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pIn2; + + /* Decrement the loop counter */ + blkCnt--; + } + } + else + { + /* If the srcBLen is not a multiple of 4, + * the blockSize2 loop cannot be unrolled by 4 */ + blkCnt = blockSize2; + + while (blkCnt > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Loop over srcBLen */ + k = srcBLen; + + while (k > 0U) + { + /* Perform the multiply-accumulate */ + sum += ((q15_t) * px++ * *py++); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut = (q7_t) (__SSAT(sum >> 7, 8)); + /* Destination pointer is updated according to the address modifier, inc */ + pOut += inc; + + /* Increment the MAC count */ + count++; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = pIn1 + count; + py = pIn2; + + + /* Decrement the loop counter */ + blkCnt--; + } + } + + /* -------------------------- + * Initializations of stage3 + * -------------------------*/ + + /* sum += x[srcALen-srcBLen+1] * y[0] + x[srcALen-srcBLen+2] * y[1] +...+ x[srcALen-1] * y[srcBLen-1] + * sum += x[srcALen-srcBLen+2] * y[0] + x[srcALen-srcBLen+3] * y[1] +...+ x[srcALen-1] * y[srcBLen-1] + * .... + * sum += x[srcALen-2] * y[0] + x[srcALen-1] * y[1] + * sum += x[srcALen-1] * y[0] + */ + + /* In this stage the MAC operations are decreased by 1 for every iteration. + The count variable holds the number of MAC operations performed */ + count = srcBLen - 1U; + + /* Working pointer of inputA */ + pSrc1 = pIn1 + (srcALen - (srcBLen - 1U)); + px = pSrc1; + + /* Working pointer of inputB */ + py = pIn2; + + /* ------------------- + * Stage3 process + * ------------------*/ + + while (blockSize3 > 0U) + { + /* Accumulator is made zero for every iteration */ + sum = 0; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + k = count >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 MACs at a time. + ** a second loop below computes MACs for the remaining 1 to 3 samples. */ + while (k > 0U) + { + /* x[srcALen - srcBLen + 1] , x[srcALen - srcBLen + 2] */ + in1 = (q15_t) * px++; + in2 = (q15_t) * px++; + input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); + + /* y[0] , y[1] */ + in1 = (q15_t) * py++; + in2 = (q15_t) * py++; + input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); + + /* sum += x[srcALen - srcBLen + 1] * y[0] */ + /* sum += x[srcALen - srcBLen + 2] * y[1] */ + sum = __SMLAD(input1, input2, sum); + + /* x[srcALen - srcBLen + 3] , x[srcALen - srcBLen + 4] */ + in1 = (q15_t) * px++; + in2 = (q15_t) * px++; + input1 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); + + /* y[2] , y[3] */ + in1 = (q15_t) * py++; + in2 = (q15_t) * py++; + input2 = ((q31_t) in1 & 0x0000FFFF) | ((q31_t) in2 << 16); + + /* sum += x[srcALen - srcBLen + 3] * y[2] */ + /* sum += x[srcALen - srcBLen + 4] * y[3] */ + sum = __SMLAD(input1, input2, sum); + + /* Decrement the loop counter */ + k--; + } + + /* If the count is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + k = count % 0x4U; + + while (k > 0U) + { + /* Perform the multiply-accumulates */ + sum += ((q15_t) * px++ * *py++); + + /* Decrement the loop counter */ + k--; + } + + /* Store the result in the accumulator in the destination buffer. */ + *pOut = (q7_t) (__SSAT(sum >> 7, 8)); + /* Destination pointer is updated according to the address modifier, inc */ + pOut += inc; + + /* Update the inputA and inputB pointers for next MAC calculation */ + px = ++pSrc1; + py = pIn2; + + /* Decrement the MAC count */ + count--; + + /* Decrement the loop counter */ + blockSize3--; + } + +#else + +/* Run the below code for Cortex-M0 */ + + q7_t *pIn1 = pSrcA; /* inputA pointer */ + q7_t *pIn2 = pSrcB + (srcBLen - 1U); /* inputB pointer */ + q31_t sum; /* Accumulator */ + uint32_t i = 0U, j; /* loop counters */ + uint32_t inv = 0U; /* Reverse order flag */ + uint32_t tot = 0U; /* Length */ + + /* The algorithm implementation is based on the lengths of the inputs. */ + /* srcB is always made to slide across srcA. */ + /* So srcBLen is always considered as shorter or equal to srcALen */ + /* But CORR(x, y) is reverse of CORR(y, x) */ + /* So, when srcBLen > srcALen, output pointer is made to point to the end of the output buffer */ + /* and a varaible, inv is set to 1 */ + /* If lengths are not equal then zero pad has to be done to make the two + * inputs of same length. But to improve the performance, we include zeroes + * in the output instead of zero padding either of the the inputs*/ + /* If srcALen > srcBLen, (srcALen - srcBLen) zeroes has to included in the + * starting of the output buffer */ + /* If srcALen < srcBLen, (srcALen - srcBLen) zeroes has to included in the + * ending of the output buffer */ + /* Once the zero padding is done the remaining of the output is calcualted + * using convolution but with the shorter signal time shifted. */ + + /* Calculate the length of the remaining sequence */ + tot = ((srcALen + srcBLen) - 2U); + + if (srcALen > srcBLen) + { + /* Calculating the number of zeros to be padded to the output */ + j = srcALen - srcBLen; + + /* Initialise the pointer after zero padding */ + pDst += j; + } + + else if (srcALen < srcBLen) + { + /* Initialization to inputB pointer */ + pIn1 = pSrcB; + + /* Initialization to the end of inputA pointer */ + pIn2 = pSrcA + (srcALen - 1U); + + /* Initialisation of the pointer after zero padding */ + pDst = pDst + tot; + + /* Swapping the lengths */ + j = srcALen; + srcALen = srcBLen; + srcBLen = j; + + /* Setting the reverse flag */ + inv = 1; + + } + + /* Loop to calculate convolution for output length number of times */ + for (i = 0U; i <= tot; i++) + { + /* Initialize sum with zero to carry on MAC operations */ + sum = 0; + + /* Loop to perform MAC operations according to convolution equation */ + for (j = 0U; j <= i; j++) + { + /* Check the array limitations */ + if ((((i - j) < srcBLen) && (j < srcALen))) + { + /* z[i] += x[i-j] * y[j] */ + sum += ((q15_t) pIn1[j] * pIn2[-((int32_t) i - j)]); + } + } + /* Store the output in the destination buffer */ + if (inv == 1) + *pDst-- = (q7_t) __SSAT((sum >> 7U), 8U); + else + *pDst++ = (q7_t) __SSAT((sum >> 7U), 8U); + } + +#endif /* #if defined (ARM_MATH_DSP) */ + +} + +/** + * @} end of Corr group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_f32.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_f32.c new file mode 100644 index 0000000..fd8e237 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_f32.c @@ -0,0 +1,512 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fir_decimate_f32.c + * Description: FIR decimation for floating-point sequences + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupFilters + */ + +/** + * @defgroup FIR_decimate Finite Impulse Response (FIR) Decimator + * + * These functions combine an FIR filter together with a decimator. + * They are used in multirate systems for reducing the sample rate of a signal without introducing aliasing distortion. + * Conceptually, the functions are equivalent to the block diagram below: + * \image html FIRDecimator.gif "Components included in the FIR Decimator functions" + * When decimating by a factor of M, the signal should be prefiltered by a lowpass filter with a normalized + * cutoff frequency of 1/M in order to prevent aliasing distortion. + * The user of the function is responsible for providing the filter coefficients. + * + * The FIR decimator functions provided in the CMSIS DSP Library combine the FIR filter and the decimator in an efficient manner. + * Instead of calculating all of the FIR filter outputs and discarding M-1 out of every M, only the + * samples output by the decimator are computed. + * The functions operate on blocks of input and output data. + * pSrc points to an array of blockSize input values and + * pDst points to an array of blockSize/M output values. + * In order to have an integer number of output samples blockSize + * must always be a multiple of the decimation factor M. + * + * The library provides separate functions for Q15, Q31 and floating-point data types. + * + * \par Algorithm: + * The FIR portion of the algorithm uses the standard form filter: + *
+ *    y[n] = b[0] * x[n] + b[1] * x[n-1] + b[2] * x[n-2] + ...+ b[numTaps-1] * x[n-numTaps+1]
+ * 
+ * where, b[n] are the filter coefficients. + * \par + * The pCoeffs points to a coefficient array of size numTaps. + * Coefficients are stored in time reversed order. + * \par + *
+ *    {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+ * 
+ * \par + * pState points to a state array of size numTaps + blockSize - 1. + * Samples in the state buffer are stored in the order: + * \par + *
+ *    {x[n-numTaps+1], x[n-numTaps], x[n-numTaps-1], x[n-numTaps-2]....x[0], x[1], ..., x[blockSize-1]}
+ * 
+ * The state variables are updated after each block of data is processed, the coefficients are untouched. + * + * \par Instance Structure + * The coefficients and state variables for a filter are stored together in an instance data structure. + * A separate instance structure must be defined for each filter. + * Coefficient arrays may be shared among several instances while state variable array should be allocated separately. + * There are separate instance structure declarations for each of the 3 supported data types. + * + * \par Initialization Functions + * There is also an associated initialization function for each data type. + * The initialization function performs the following operations: + * - Sets the values of the internal structure fields. + * - Zeros out the values in the state buffer. + * - Checks to make sure that the size of the input is a multiple of the decimation factor. + * To do this manually without calling the init function, assign the follow subfields of the instance structure: + * numTaps, pCoeffs, M (decimation factor), pState. Also set all of the values in pState to zero. + * + * \par + * Use of the initialization function is optional. + * However, if the initialization function is used, then the instance structure cannot be placed into a const data section. + * To place an instance structure into a const data section, the instance structure must be manually initialized. + * The code below statically initializes each of the 3 different data type filter instance structures + *
+ *arm_fir_decimate_instance_f32 S = {M, numTaps, pCoeffs, pState};
+ *arm_fir_decimate_instance_q31 S = {M, numTaps, pCoeffs, pState};
+ *arm_fir_decimate_instance_q15 S = {M, numTaps, pCoeffs, pState};
+ * 
+ * where M is the decimation factor; numTaps is the number of filter coefficients in the filter; + * pCoeffs is the address of the coefficient buffer; + * pState is the address of the state buffer. + * Be sure to set the values in the state buffer to zeros when doing static initialization. + * + * \par Fixed-Point Behavior + * Care must be taken when using the fixed-point versions of the FIR decimate filter functions. + * In particular, the overflow and saturation behavior of the accumulator used in each function must be considered. + * Refer to the function specific documentation below for usage guidelines. + */ + +/** + * @addtogroup FIR_decimate + * @{ + */ + + /** + * @brief Processing function for the floating-point FIR decimator. + * @param[in] *S points to an instance of the floating-point FIR decimator structure. + * @param[in] *pSrc points to the block of input data. + * @param[out] *pDst points to the block of output data. + * @param[in] blockSize number of input samples to process per call. + * @return none. + */ + +void arm_fir_decimate_f32( + const arm_fir_decimate_instance_f32 * S, + float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize) +{ + float32_t *pState = S->pState; /* State pointer */ + float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + float32_t *pStateCurnt; /* Points to the current sample of the state */ + float32_t *px, *pb; /* Temporary pointers for state and coefficient buffers */ + float32_t sum0; /* Accumulator */ + float32_t x0, c0; /* Temporary variables to hold state and coefficient values */ + uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */ + uint32_t i, tapCnt, blkCnt, outBlockSize = blockSize / S->M; /* Loop counters */ + +#if defined (ARM_MATH_DSP) + + uint32_t blkCntN4; + float32_t *px0, *px1, *px2, *px3; + float32_t acc0, acc1, acc2, acc3; + float32_t x1, x2, x3; + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + /* S->pState buffer contains previous frame (numTaps - 1) samples */ + /* pStateCurnt points to the location where the new input data should be written */ + pStateCurnt = S->pState + (numTaps - 1U); + + /* Total number of output samples to be computed */ + blkCnt = outBlockSize / 4; + blkCntN4 = outBlockSize - (4 * blkCnt); + + while (blkCnt > 0U) + { + /* Copy 4 * decimation factor number of new input samples into the state buffer */ + i = 4 * S->M; + + do + { + *pStateCurnt++ = *pSrc++; + + } while (--i); + + /* Set accumulators to zero */ + acc0 = 0.0f; + acc1 = 0.0f; + acc2 = 0.0f; + acc3 = 0.0f; + + /* Initialize state pointer for all the samples */ + px0 = pState; + px1 = pState + S->M; + px2 = pState + 2 * S->M; + px3 = pState + 3 * S->M; + + /* Initialize coeff pointer */ + pb = pCoeffs; + + /* Loop unrolling. Process 4 taps at a time. */ + tapCnt = numTaps >> 2; + + /* Loop over the number of taps. Unroll by a factor of 4. + ** Repeat until we've computed numTaps-4 coefficients. */ + + while (tapCnt > 0U) + { + /* Read the b[numTaps-1] coefficient */ + c0 = *(pb++); + + /* Read x[n-numTaps-1] sample for acc0 */ + x0 = *(px0++); + /* Read x[n-numTaps-1] sample for acc1 */ + x1 = *(px1++); + /* Read x[n-numTaps-1] sample for acc2 */ + x2 = *(px2++); + /* Read x[n-numTaps-1] sample for acc3 */ + x3 = *(px3++); + + /* Perform the multiply-accumulate */ + acc0 += x0 * c0; + acc1 += x1 * c0; + acc2 += x2 * c0; + acc3 += x3 * c0; + + /* Read the b[numTaps-2] coefficient */ + c0 = *(pb++); + + /* Read x[n-numTaps-2] sample for acc0, acc1, acc2, acc3 */ + x0 = *(px0++); + x1 = *(px1++); + x2 = *(px2++); + x3 = *(px3++); + + /* Perform the multiply-accumulate */ + acc0 += x0 * c0; + acc1 += x1 * c0; + acc2 += x2 * c0; + acc3 += x3 * c0; + + /* Read the b[numTaps-3] coefficient */ + c0 = *(pb++); + + /* Read x[n-numTaps-3] sample acc0, acc1, acc2, acc3 */ + x0 = *(px0++); + x1 = *(px1++); + x2 = *(px2++); + x3 = *(px3++); + + /* Perform the multiply-accumulate */ + acc0 += x0 * c0; + acc1 += x1 * c0; + acc2 += x2 * c0; + acc3 += x3 * c0; + + /* Read the b[numTaps-4] coefficient */ + c0 = *(pb++); + + /* Read x[n-numTaps-4] sample acc0, acc1, acc2, acc3 */ + x0 = *(px0++); + x1 = *(px1++); + x2 = *(px2++); + x3 = *(px3++); + + /* Perform the multiply-accumulate */ + acc0 += x0 * c0; + acc1 += x1 * c0; + acc2 += x2 * c0; + acc3 += x3 * c0; + + /* Decrement the loop counter */ + tapCnt--; + } + + /* If the filter length is not a multiple of 4, compute the remaining filter taps */ + tapCnt = numTaps % 0x4U; + + while (tapCnt > 0U) + { + /* Read coefficients */ + c0 = *(pb++); + + /* Fetch state variables for acc0, acc1, acc2, acc3 */ + x0 = *(px0++); + x1 = *(px1++); + x2 = *(px2++); + x3 = *(px3++); + + /* Perform the multiply-accumulate */ + acc0 += x0 * c0; + acc1 += x1 * c0; + acc2 += x2 * c0; + acc3 += x3 * c0; + + /* Decrement the loop counter */ + tapCnt--; + } + + /* Advance the state pointer by the decimation factor + * to process the next group of decimation factor number samples */ + pState = pState + 4 * S->M; + + /* The result is in the accumulator, store in the destination buffer. */ + *pDst++ = acc0; + *pDst++ = acc1; + *pDst++ = acc2; + *pDst++ = acc3; + + /* Decrement the loop counter */ + blkCnt--; + } + + while (blkCntN4 > 0U) + { + /* Copy decimation factor number of new input samples into the state buffer */ + i = S->M; + + do + { + *pStateCurnt++ = *pSrc++; + + } while (--i); + + /* Set accumulator to zero */ + sum0 = 0.0f; + + /* Initialize state pointer */ + px = pState; + + /* Initialize coeff pointer */ + pb = pCoeffs; + + /* Loop unrolling. Process 4 taps at a time. */ + tapCnt = numTaps >> 2; + + /* Loop over the number of taps. Unroll by a factor of 4. + ** Repeat until we've computed numTaps-4 coefficients. */ + while (tapCnt > 0U) + { + /* Read the b[numTaps-1] coefficient */ + c0 = *(pb++); + + /* Read x[n-numTaps-1] sample */ + x0 = *(px++); + + /* Perform the multiply-accumulate */ + sum0 += x0 * c0; + + /* Read the b[numTaps-2] coefficient */ + c0 = *(pb++); + + /* Read x[n-numTaps-2] sample */ + x0 = *(px++); + + /* Perform the multiply-accumulate */ + sum0 += x0 * c0; + + /* Read the b[numTaps-3] coefficient */ + c0 = *(pb++); + + /* Read x[n-numTaps-3] sample */ + x0 = *(px++); + + /* Perform the multiply-accumulate */ + sum0 += x0 * c0; + + /* Read the b[numTaps-4] coefficient */ + c0 = *(pb++); + + /* Read x[n-numTaps-4] sample */ + x0 = *(px++); + + /* Perform the multiply-accumulate */ + sum0 += x0 * c0; + + /* Decrement the loop counter */ + tapCnt--; + } + + /* If the filter length is not a multiple of 4, compute the remaining filter taps */ + tapCnt = numTaps % 0x4U; + + while (tapCnt > 0U) + { + /* Read coefficients */ + c0 = *(pb++); + + /* Fetch 1 state variable */ + x0 = *(px++); + + /* Perform the multiply-accumulate */ + sum0 += x0 * c0; + + /* Decrement the loop counter */ + tapCnt--; + } + + /* Advance the state pointer by the decimation factor + * to process the next group of decimation factor number samples */ + pState = pState + S->M; + + /* The result is in the accumulator, store in the destination buffer. */ + *pDst++ = sum0; + + /* Decrement the loop counter */ + blkCntN4--; + } + + /* Processing is complete. + ** Now copy the last numTaps - 1 samples to the satrt of the state buffer. + ** This prepares the state buffer for the next function call. */ + + /* Points to the start of the state buffer */ + pStateCurnt = S->pState; + + i = (numTaps - 1U) >> 2; + + /* copy data */ + while (i > 0U) + { + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + + /* Decrement the loop counter */ + i--; + } + + i = (numTaps - 1U) % 0x04U; + + /* copy data */ + while (i > 0U) + { + *pStateCurnt++ = *pState++; + + /* Decrement the loop counter */ + i--; + } + +#else + +/* Run the below code for Cortex-M0 */ + + /* S->pState buffer contains previous frame (numTaps - 1) samples */ + /* pStateCurnt points to the location where the new input data should be written */ + pStateCurnt = S->pState + (numTaps - 1U); + + /* Total number of output samples to be computed */ + blkCnt = outBlockSize; + + while (blkCnt > 0U) + { + /* Copy decimation factor number of new input samples into the state buffer */ + i = S->M; + + do + { + *pStateCurnt++ = *pSrc++; + + } while (--i); + + /* Set accumulator to zero */ + sum0 = 0.0f; + + /* Initialize state pointer */ + px = pState; + + /* Initialize coeff pointer */ + pb = pCoeffs; + + tapCnt = numTaps; + + while (tapCnt > 0U) + { + /* Read coefficients */ + c0 = *pb++; + + /* Fetch 1 state variable */ + x0 = *px++; + + /* Perform the multiply-accumulate */ + sum0 += x0 * c0; + + /* Decrement the loop counter */ + tapCnt--; + } + + /* Advance the state pointer by the decimation factor + * to process the next group of decimation factor number samples */ + pState = pState + S->M; + + /* The result is in the accumulator, store in the destination buffer. */ + *pDst++ = sum0; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Processing is complete. + ** Now copy the last numTaps - 1 samples to the start of the state buffer. + ** This prepares the state buffer for the next function call. */ + + /* Points to the start of the state buffer */ + pStateCurnt = S->pState; + + /* Copy numTaps number of values */ + i = (numTaps - 1U); + + /* copy data */ + while (i > 0U) + { + *pStateCurnt++ = *pState++; + + /* Decrement the loop counter */ + i--; + } + +#endif /* #if defined (ARM_MATH_DSP) */ + +} + +/** + * @} end of FIR_decimate group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_fast_q15.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_fast_q15.c new file mode 100644 index 0000000..684640e --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_fast_q15.c @@ -0,0 +1,586 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fir_decimate_fast_q15.c + * Description: Fast Q15 FIR Decimator + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupFilters + */ + +/** + * @addtogroup FIR_decimate + * @{ + */ + +/** + * @brief Processing function for the Q15 FIR decimator (fast variant) for Cortex-M3 and Cortex-M4. + * @param[in] *S points to an instance of the Q15 FIR decimator structure. + * @param[in] *pSrc points to the block of input data. + * @param[out] *pDst points to the block of output data + * @param[in] blockSize number of input samples to process per call. + * @return none + * + * \par Restrictions + * If the silicon does not support unaligned memory access enable the macro UNALIGNED_SUPPORT_DISABLE + * In this case input, output, state buffers should be aligned by 32-bit + * + * Scaling and Overflow Behavior: + * \par + * This fast version uses a 32-bit accumulator with 2.30 format. + * The accumulator maintains full precision of the intermediate multiplication results but provides only a single guard bit. + * Thus, if the accumulator result overflows it wraps around and distorts the result. + * In order to avoid overflows completely the input signal must be scaled down by log2(numTaps) bits (log2 is read as log to the base 2). + * The 2.30 accumulator is then truncated to 2.15 format and saturated to yield the 1.15 result. + * + * \par + * Refer to the function arm_fir_decimate_q15() for a slower implementation of this function which uses 64-bit accumulation to avoid wrap around distortion. + * Both the slow and the fast versions use the same instance structure. + * Use the function arm_fir_decimate_init_q15() to initialize the filter structure. + */ + +#ifndef UNALIGNED_SUPPORT_DISABLE + +void arm_fir_decimate_fast_q15( + const arm_fir_decimate_instance_q15 * S, + q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize) +{ + q15_t *pState = S->pState; /* State pointer */ + q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + q15_t *pStateCurnt; /* Points to the current sample of the state */ + q15_t *px; /* Temporary pointer for state buffer */ + q15_t *pb; /* Temporary pointer coefficient buffer */ + q31_t x0, x1, c0, c1; /* Temporary variables to hold state and coefficient values */ + q31_t sum0; /* Accumulators */ + q31_t acc0, acc1; + q15_t *px0, *px1; + uint32_t blkCntN3; + uint32_t numTaps = S->numTaps; /* Number of taps */ + uint32_t i, blkCnt, tapCnt, outBlockSize = blockSize / S->M; /* Loop counters */ + + + /* S->pState buffer contains previous frame (numTaps - 1) samples */ + /* pStateCurnt points to the location where the new input data should be written */ + pStateCurnt = S->pState + (numTaps - 1U); + + + /* Total number of output samples to be computed */ + blkCnt = outBlockSize / 2; + blkCntN3 = outBlockSize - (2 * blkCnt); + + + while (blkCnt > 0U) + { + /* Copy decimation factor number of new input samples into the state buffer */ + i = 2 * S->M; + + do + { + *pStateCurnt++ = *pSrc++; + + } while (--i); + + /* Set accumulator to zero */ + acc0 = 0; + acc1 = 0; + + /* Initialize state pointer */ + px0 = pState; + + px1 = pState + S->M; + + + /* Initialize coeff pointer */ + pb = pCoeffs; + + /* Loop unrolling. Process 4 taps at a time. */ + tapCnt = numTaps >> 2; + + /* Loop over the number of taps. Unroll by a factor of 4. + ** Repeat until we've computed numTaps-4 coefficients. */ + while (tapCnt > 0U) + { + /* Read the Read b[numTaps-1] and b[numTaps-2] coefficients */ + c0 = *__SIMD32(pb)++; + + /* Read x[n-numTaps-1] and x[n-numTaps-2]sample */ + x0 = *__SIMD32(px0)++; + + x1 = *__SIMD32(px1)++; + + /* Perform the multiply-accumulate */ + acc0 = __SMLAD(x0, c0, acc0); + + acc1 = __SMLAD(x1, c0, acc1); + + /* Read the b[numTaps-3] and b[numTaps-4] coefficient */ + c0 = *__SIMD32(pb)++; + + /* Read x[n-numTaps-2] and x[n-numTaps-3] sample */ + x0 = *__SIMD32(px0)++; + + x1 = *__SIMD32(px1)++; + + /* Perform the multiply-accumulate */ + acc0 = __SMLAD(x0, c0, acc0); + + acc1 = __SMLAD(x1, c0, acc1); + + /* Decrement the loop counter */ + tapCnt--; + } + + /* If the filter length is not a multiple of 4, compute the remaining filter taps */ + tapCnt = numTaps % 0x4U; + + while (tapCnt > 0U) + { + /* Read coefficients */ + c0 = *pb++; + + /* Fetch 1 state variable */ + x0 = *px0++; + + x1 = *px1++; + + /* Perform the multiply-accumulate */ + acc0 = __SMLAD(x0, c0, acc0); + acc1 = __SMLAD(x1, c0, acc1); + + /* Decrement the loop counter */ + tapCnt--; + } + + /* Advance the state pointer by the decimation factor + * to process the next group of decimation factor number samples */ + pState = pState + S->M * 2; + + /* Store filter output, smlad returns the values in 2.14 format */ + /* so downsacle by 15 to get output in 1.15 */ + *pDst++ = (q15_t) (__SSAT((acc0 >> 15), 16)); + *pDst++ = (q15_t) (__SSAT((acc1 >> 15), 16)); + + /* Decrement the loop counter */ + blkCnt--; + } + + + + while (blkCntN3 > 0U) + { + /* Copy decimation factor number of new input samples into the state buffer */ + i = S->M; + + do + { + *pStateCurnt++ = *pSrc++; + + } while (--i); + + /*Set sum to zero */ + sum0 = 0; + + /* Initialize state pointer */ + px = pState; + + /* Initialize coeff pointer */ + pb = pCoeffs; + + /* Loop unrolling. Process 4 taps at a time. */ + tapCnt = numTaps >> 2; + + /* Loop over the number of taps. Unroll by a factor of 4. + ** Repeat until we've computed numTaps-4 coefficients. */ + while (tapCnt > 0U) + { + /* Read the Read b[numTaps-1] and b[numTaps-2] coefficients */ + c0 = *__SIMD32(pb)++; + + /* Read x[n-numTaps-1] and x[n-numTaps-2]sample */ + x0 = *__SIMD32(px)++; + + /* Read the b[numTaps-3] and b[numTaps-4] coefficient */ + c1 = *__SIMD32(pb)++; + + /* Perform the multiply-accumulate */ + sum0 = __SMLAD(x0, c0, sum0); + + /* Read x[n-numTaps-2] and x[n-numTaps-3] sample */ + x0 = *__SIMD32(px)++; + + /* Perform the multiply-accumulate */ + sum0 = __SMLAD(x0, c1, sum0); + + /* Decrement the loop counter */ + tapCnt--; + } + + /* If the filter length is not a multiple of 4, compute the remaining filter taps */ + tapCnt = numTaps % 0x4U; + + while (tapCnt > 0U) + { + /* Read coefficients */ + c0 = *pb++; + + /* Fetch 1 state variable */ + x0 = *px++; + + /* Perform the multiply-accumulate */ + sum0 = __SMLAD(x0, c0, sum0); + + /* Decrement the loop counter */ + tapCnt--; + } + + /* Advance the state pointer by the decimation factor + * to process the next group of decimation factor number samples */ + pState = pState + S->M; + + /* Store filter output, smlad returns the values in 2.14 format */ + /* so downsacle by 15 to get output in 1.15 */ + *pDst++ = (q15_t) (__SSAT((sum0 >> 15), 16)); + + /* Decrement the loop counter */ + blkCntN3--; + } + + /* Processing is complete. + ** Now copy the last numTaps - 1 samples to the satrt of the state buffer. + ** This prepares the state buffer for the next function call. */ + + /* Points to the start of the state buffer */ + pStateCurnt = S->pState; + + i = (numTaps - 1U) >> 2U; + + /* copy data */ + while (i > 0U) + { + *__SIMD32(pStateCurnt)++ = *__SIMD32(pState)++; + *__SIMD32(pStateCurnt)++ = *__SIMD32(pState)++; + + /* Decrement the loop counter */ + i--; + } + + i = (numTaps - 1U) % 0x04U; + + /* copy data */ + while (i > 0U) + { + *pStateCurnt++ = *pState++; + + /* Decrement the loop counter */ + i--; + } +} + +#else + + +void arm_fir_decimate_fast_q15( + const arm_fir_decimate_instance_q15 * S, + q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize) +{ + q15_t *pState = S->pState; /* State pointer */ + q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + q15_t *pStateCurnt; /* Points to the current sample of the state */ + q15_t *px; /* Temporary pointer for state buffer */ + q15_t *pb; /* Temporary pointer coefficient buffer */ + q15_t x0, x1, c0; /* Temporary variables to hold state and coefficient values */ + q31_t sum0; /* Accumulators */ + q31_t acc0, acc1; + q15_t *px0, *px1; + uint32_t blkCntN3; + uint32_t numTaps = S->numTaps; /* Number of taps */ + uint32_t i, blkCnt, tapCnt, outBlockSize = blockSize / S->M; /* Loop counters */ + + + /* S->pState buffer contains previous frame (numTaps - 1) samples */ + /* pStateCurnt points to the location where the new input data should be written */ + pStateCurnt = S->pState + (numTaps - 1U); + + + /* Total number of output samples to be computed */ + blkCnt = outBlockSize / 2; + blkCntN3 = outBlockSize - (2 * blkCnt); + + while (blkCnt > 0U) + { + /* Copy decimation factor number of new input samples into the state buffer */ + i = 2 * S->M; + + do + { + *pStateCurnt++ = *pSrc++; + + } while (--i); + + /* Set accumulator to zero */ + acc0 = 0; + acc1 = 0; + + /* Initialize state pointer */ + px0 = pState; + + px1 = pState + S->M; + + + /* Initialize coeff pointer */ + pb = pCoeffs; + + /* Loop unrolling. Process 4 taps at a time. */ + tapCnt = numTaps >> 2; + + /* Loop over the number of taps. Unroll by a factor of 4. + ** Repeat until we've computed numTaps-4 coefficients. */ + while (tapCnt > 0U) + { + /* Read the Read b[numTaps-1] coefficients */ + c0 = *pb++; + + /* Read x[n-numTaps-1] for sample 0 and for sample 1 */ + x0 = *px0++; + x1 = *px1++; + + /* Perform the multiply-accumulate */ + acc0 += x0 * c0; + acc1 += x1 * c0; + + /* Read the b[numTaps-2] coefficient */ + c0 = *pb++; + + /* Read x[n-numTaps-2] for sample 0 and sample 1 */ + x0 = *px0++; + x1 = *px1++; + + /* Perform the multiply-accumulate */ + acc0 += x0 * c0; + acc1 += x1 * c0; + + /* Read the b[numTaps-3] coefficients */ + c0 = *pb++; + + /* Read x[n-numTaps-3] for sample 0 and sample 1 */ + x0 = *px0++; + x1 = *px1++; + + /* Perform the multiply-accumulate */ + acc0 += x0 * c0; + acc1 += x1 * c0; + + /* Read the b[numTaps-4] coefficient */ + c0 = *pb++; + + /* Read x[n-numTaps-4] for sample 0 and sample 1 */ + x0 = *px0++; + x1 = *px1++; + + /* Perform the multiply-accumulate */ + acc0 += x0 * c0; + acc1 += x1 * c0; + + /* Decrement the loop counter */ + tapCnt--; + } + + /* If the filter length is not a multiple of 4, compute the remaining filter taps */ + tapCnt = numTaps % 0x4U; + + while (tapCnt > 0U) + { + /* Read coefficients */ + c0 = *pb++; + + /* Fetch 1 state variable */ + x0 = *px0++; + x1 = *px1++; + + /* Perform the multiply-accumulate */ + acc0 += x0 * c0; + acc1 += x1 * c0; + + /* Decrement the loop counter */ + tapCnt--; + } + + /* Advance the state pointer by the decimation factor + * to process the next group of decimation factor number samples */ + pState = pState + S->M * 2; + + /* Store filter output, smlad returns the values in 2.14 format */ + /* so downsacle by 15 to get output in 1.15 */ + + *pDst++ = (q15_t) (__SSAT((acc0 >> 15), 16)); + *pDst++ = (q15_t) (__SSAT((acc1 >> 15), 16)); + + + /* Decrement the loop counter */ + blkCnt--; + } + + while (blkCntN3 > 0U) + { + /* Copy decimation factor number of new input samples into the state buffer */ + i = S->M; + + do + { + *pStateCurnt++ = *pSrc++; + + } while (--i); + + /*Set sum to zero */ + sum0 = 0; + + /* Initialize state pointer */ + px = pState; + + /* Initialize coeff pointer */ + pb = pCoeffs; + + /* Loop unrolling. Process 4 taps at a time. */ + tapCnt = numTaps >> 2; + + /* Loop over the number of taps. Unroll by a factor of 4. + ** Repeat until we've computed numTaps-4 coefficients. */ + while (tapCnt > 0U) + { + /* Read the Read b[numTaps-1] coefficients */ + c0 = *pb++; + + /* Read x[n-numTaps-1] and sample */ + x0 = *px++; + + /* Perform the multiply-accumulate */ + sum0 += x0 * c0; + + /* Read the b[numTaps-2] coefficient */ + c0 = *pb++; + + /* Read x[n-numTaps-2] and sample */ + x0 = *px++; + + /* Perform the multiply-accumulate */ + sum0 += x0 * c0; + + /* Read the b[numTaps-3] coefficients */ + c0 = *pb++; + + /* Read x[n-numTaps-3] sample */ + x0 = *px++; + + /* Perform the multiply-accumulate */ + sum0 += x0 * c0; + + /* Read the b[numTaps-4] coefficient */ + c0 = *pb++; + + /* Read x[n-numTaps-4] sample */ + x0 = *px++; + + /* Perform the multiply-accumulate */ + sum0 += x0 * c0; + + /* Decrement the loop counter */ + tapCnt--; + } + + /* If the filter length is not a multiple of 4, compute the remaining filter taps */ + tapCnt = numTaps % 0x4U; + + while (tapCnt > 0U) + { + /* Read coefficients */ + c0 = *pb++; + + /* Fetch 1 state variable */ + x0 = *px++; + + /* Perform the multiply-accumulate */ + sum0 += x0 * c0; + + /* Decrement the loop counter */ + tapCnt--; + } + + /* Advance the state pointer by the decimation factor + * to process the next group of decimation factor number samples */ + pState = pState + S->M; + + /* Store filter output, smlad returns the values in 2.14 format */ + /* so downsacle by 15 to get output in 1.15 */ + *pDst++ = (q15_t) (__SSAT((sum0 >> 15), 16)); + + /* Decrement the loop counter */ + blkCntN3--; + } + + /* Processing is complete. + ** Now copy the last numTaps - 1 samples to the satrt of the state buffer. + ** This prepares the state buffer for the next function call. */ + + /* Points to the start of the state buffer */ + pStateCurnt = S->pState; + + i = (numTaps - 1U) >> 2U; + + /* copy data */ + while (i > 0U) + { + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + + /* Decrement the loop counter */ + i--; + } + + i = (numTaps - 1U) % 0x04U; + + /* copy data */ + while (i > 0U) + { + *pStateCurnt++ = *pState++; + + /* Decrement the loop counter */ + i--; + } +} + + +#endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */ + +/** + * @} end of FIR_decimate group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_fast_q31.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_fast_q31.c new file mode 100644 index 0000000..46b7d3d --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_fast_q31.c @@ -0,0 +1,339 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fir_decimate_fast_q31.c + * Description: Fast Q31 FIR Decimator + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupFilters + */ + +/** + * @addtogroup FIR_decimate + * @{ + */ + +/** + * @brief Processing function for the Q31 FIR decimator (fast variant) for Cortex-M3 and Cortex-M4. + * @param[in] *S points to an instance of the Q31 FIR decimator structure. + * @param[in] *pSrc points to the block of input data. + * @param[out] *pDst points to the block of output data + * @param[in] blockSize number of input samples to process per call. + * @return none + * + * Scaling and Overflow Behavior: + * + * \par + * This function is optimized for speed at the expense of fixed-point precision and overflow protection. + * The result of each 1.31 x 1.31 multiplication is truncated to 2.30 format. + * These intermediate results are added to a 2.30 accumulator. + * Finally, the accumulator is saturated and converted to a 1.31 result. + * The fast version has the same overflow behavior as the standard version and provides less precision since it discards the low 32 bits of each multiplication result. + * In order to avoid overflows completely the input signal must be scaled down by log2(numTaps) bits (where log2 is read as log to the base 2). + * + * \par + * Refer to the function arm_fir_decimate_q31() for a slower implementation of this function which uses a 64-bit accumulator to provide higher precision. + * Both the slow and the fast versions use the same instance structure. + * Use the function arm_fir_decimate_init_q31() to initialize the filter structure. + */ + +void arm_fir_decimate_fast_q31( + arm_fir_decimate_instance_q31 * S, + q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize) +{ + q31_t *pState = S->pState; /* State pointer */ + q31_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + q31_t *pStateCurnt; /* Points to the current sample of the state */ + q31_t x0, c0; /* Temporary variables to hold state and coefficient values */ + q31_t *px; /* Temporary pointers for state buffer */ + q31_t *pb; /* Temporary pointers for coefficient buffer */ + q31_t sum0; /* Accumulator */ + uint32_t numTaps = S->numTaps; /* Number of taps */ + uint32_t i, tapCnt, blkCnt, outBlockSize = blockSize / S->M; /* Loop counters */ + uint32_t blkCntN2; + q31_t x1; + q31_t acc0, acc1; + q31_t *px0, *px1; + + /* S->pState buffer contains previous frame (numTaps - 1) samples */ + /* pStateCurnt points to the location where the new input data should be written */ + pStateCurnt = S->pState + (numTaps - 1U); + + /* Total number of output samples to be computed */ + + blkCnt = outBlockSize / 2; + blkCntN2 = outBlockSize - (2 * blkCnt); + + while (blkCnt > 0U) + { + /* Copy decimation factor number of new input samples into the state buffer */ + i = 2 * S->M; + + do + { + *pStateCurnt++ = *pSrc++; + + } while (--i); + + /* Set accumulator to zero */ + acc0 = 0; + acc1 = 0; + + /* Initialize state pointer */ + px0 = pState; + px1 = pState + S->M; + + /* Initialize coeff pointer */ + pb = pCoeffs; + + /* Loop unrolling. Process 4 taps at a time. */ + tapCnt = numTaps >> 2; + + /* Loop over the number of taps. Unroll by a factor of 4. + ** Repeat until we've computed numTaps-4 coefficients. */ + while (tapCnt > 0U) + { + /* Read the b[numTaps-1] coefficient */ + c0 = *(pb); + + /* Read x[n-numTaps-1] for sample 0 sample 1 */ + x0 = *(px0); + x1 = *(px1); + + /* Perform the multiply-accumulate */ + acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32); + acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32); + + /* Read the b[numTaps-2] coefficient */ + c0 = *(pb + 1U); + + /* Read x[n-numTaps-2] for sample 0 sample 1 */ + x0 = *(px0 + 1U); + x1 = *(px1 + 1U); + + /* Perform the multiply-accumulate */ + acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32); + acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32); + + /* Read the b[numTaps-3] coefficient */ + c0 = *(pb + 2U); + + /* Read x[n-numTaps-3] for sample 0 sample 1 */ + x0 = *(px0 + 2U); + x1 = *(px1 + 2U); + pb += 4U; + + /* Perform the multiply-accumulate */ + acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32); + acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32); + + /* Read the b[numTaps-4] coefficient */ + c0 = *(pb - 1U); + + /* Read x[n-numTaps-4] for sample 0 sample 1 */ + x0 = *(px0 + 3U); + x1 = *(px1 + 3U); + + + /* Perform the multiply-accumulate */ + acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32); + acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32); + + /* update state pointers */ + px0 += 4U; + px1 += 4U; + + /* Decrement the loop counter */ + tapCnt--; + } + + /* If the filter length is not a multiple of 4, compute the remaining filter taps */ + tapCnt = numTaps % 0x4U; + + while (tapCnt > 0U) + { + /* Read coefficients */ + c0 = *(pb++); + + /* Fetch 1 state variable */ + x0 = *(px0++); + x1 = *(px1++); + + /* Perform the multiply-accumulate */ + acc0 = (q31_t) ((((q63_t) acc0 << 32) + ((q63_t) x0 * c0)) >> 32); + acc1 = (q31_t) ((((q63_t) acc1 << 32) + ((q63_t) x1 * c0)) >> 32); + + /* Decrement the loop counter */ + tapCnt--; + } + + /* Advance the state pointer by the decimation factor + * to process the next group of decimation factor number samples */ + pState = pState + S->M * 2; + + /* The result is in the accumulator, store in the destination buffer. */ + *pDst++ = (q31_t) (acc0 << 1); + *pDst++ = (q31_t) (acc1 << 1); + + /* Decrement the loop counter */ + blkCnt--; + } + + while (blkCntN2 > 0U) + { + /* Copy decimation factor number of new input samples into the state buffer */ + i = S->M; + + do + { + *pStateCurnt++ = *pSrc++; + + } while (--i); + + /* Set accumulator to zero */ + sum0 = 0; + + /* Initialize state pointer */ + px = pState; + + /* Initialize coeff pointer */ + pb = pCoeffs; + + /* Loop unrolling. Process 4 taps at a time. */ + tapCnt = numTaps >> 2; + + /* Loop over the number of taps. Unroll by a factor of 4. + ** Repeat until we've computed numTaps-4 coefficients. */ + while (tapCnt > 0U) + { + /* Read the b[numTaps-1] coefficient */ + c0 = *(pb++); + + /* Read x[n-numTaps-1] sample */ + x0 = *(px++); + + /* Perform the multiply-accumulate */ + sum0 = (q31_t) ((((q63_t) sum0 << 32) + ((q63_t) x0 * c0)) >> 32); + + /* Read the b[numTaps-2] coefficient */ + c0 = *(pb++); + + /* Read x[n-numTaps-2] sample */ + x0 = *(px++); + + /* Perform the multiply-accumulate */ + sum0 = (q31_t) ((((q63_t) sum0 << 32) + ((q63_t) x0 * c0)) >> 32); + + /* Read the b[numTaps-3] coefficient */ + c0 = *(pb++); + + /* Read x[n-numTaps-3] sample */ + x0 = *(px++); + + /* Perform the multiply-accumulate */ + sum0 = (q31_t) ((((q63_t) sum0 << 32) + ((q63_t) x0 * c0)) >> 32); + + /* Read the b[numTaps-4] coefficient */ + c0 = *(pb++); + + /* Read x[n-numTaps-4] sample */ + x0 = *(px++); + + /* Perform the multiply-accumulate */ + sum0 = (q31_t) ((((q63_t) sum0 << 32) + ((q63_t) x0 * c0)) >> 32); + + /* Decrement the loop counter */ + tapCnt--; + } + + /* If the filter length is not a multiple of 4, compute the remaining filter taps */ + tapCnt = numTaps % 0x4U; + + while (tapCnt > 0U) + { + /* Read coefficients */ + c0 = *(pb++); + + /* Fetch 1 state variable */ + x0 = *(px++); + + /* Perform the multiply-accumulate */ + sum0 = (q31_t) ((((q63_t) sum0 << 32) + ((q63_t) x0 * c0)) >> 32); + + /* Decrement the loop counter */ + tapCnt--; + } + + /* Advance the state pointer by the decimation factor + * to process the next group of decimation factor number samples */ + pState = pState + S->M; + + /* The result is in the accumulator, store in the destination buffer. */ + *pDst++ = (q31_t) (sum0 << 1); + + /* Decrement the loop counter */ + blkCntN2--; + } + + /* Processing is complete. + ** Now copy the last numTaps - 1 samples to the satrt of the state buffer. + ** This prepares the state buffer for the next function call. */ + + /* Points to the start of the state buffer */ + pStateCurnt = S->pState; + + i = (numTaps - 1U) >> 2U; + + /* copy data */ + while (i > 0U) + { + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + + /* Decrement the loop counter */ + i--; + } + + i = (numTaps - 1U) % 0x04U; + + /* copy data */ + while (i > 0U) + { + *pStateCurnt++ = *pState++; + + /* Decrement the loop counter */ + i--; + } +} + +/** + * @} end of FIR_decimate group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_init_f32.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_init_f32.c new file mode 100644 index 0000000..45797dc --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_init_f32.c @@ -0,0 +1,105 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fir_decimate_init_f32.c + * Description: Floating-point FIR Decimator initialization function + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupFilters + */ + +/** + * @addtogroup FIR_decimate + * @{ + */ + +/** + * @brief Initialization function for the floating-point FIR decimator. + * @param[in,out] *S points to an instance of the floating-point FIR decimator structure. + * @param[in] numTaps number of coefficients in the filter. + * @param[in] M decimation factor. + * @param[in] *pCoeffs points to the filter coefficients. + * @param[in] *pState points to the state buffer. + * @param[in] blockSize number of input samples to process per call. + * @return The function returns ARM_MATH_SUCCESS if initialization was successful or ARM_MATH_LENGTH_ERROR if + * blockSize is not a multiple of M. + * + * Description: + * \par + * pCoeffs points to the array of filter coefficients stored in time reversed order: + *
+ *    {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+ * 
+ * \par + * pState points to the array of state variables. + * pState is of length numTaps+blockSize-1 words where blockSize is the number of input samples passed to arm_fir_decimate_f32(). + * M is the decimation factor. + */ + +arm_status arm_fir_decimate_init_f32( + arm_fir_decimate_instance_f32 * S, + uint16_t numTaps, + uint8_t M, + float32_t * pCoeffs, + float32_t * pState, + uint32_t blockSize) +{ + arm_status status; + + /* The size of the input block must be a multiple of the decimation factor */ + if ((blockSize % M) != 0U) + { + /* Set status as ARM_MATH_LENGTH_ERROR */ + status = ARM_MATH_LENGTH_ERROR; + } + else + { + /* Assign filter taps */ + S->numTaps = numTaps; + + /* Assign coefficient pointer */ + S->pCoeffs = pCoeffs; + + /* Clear state buffer and size is always (blockSize + numTaps - 1) */ + memset(pState, 0, (numTaps + (blockSize - 1U)) * sizeof(float32_t)); + + /* Assign state pointer */ + S->pState = pState; + + /* Assign Decimation Factor */ + S->M = M; + + status = ARM_MATH_SUCCESS; + } + + return (status); + +} + +/** + * @} end of FIR_decimate group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_init_q15.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_init_q15.c new file mode 100644 index 0000000..7314711 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_init_q15.c @@ -0,0 +1,107 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fir_decimate_init_q15.c + * Description: Initialization function for the Q15 FIR Decimator + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupFilters + */ + +/** + * @addtogroup FIR_decimate + * @{ + */ + +/** + * @brief Initialization function for the Q15 FIR decimator. + * @param[in,out] *S points to an instance of the Q15 FIR decimator structure. + * @param[in] numTaps number of coefficients in the filter. + * @param[in] M decimation factor. + * @param[in] *pCoeffs points to the filter coefficients. + * @param[in] *pState points to the state buffer. + * @param[in] blockSize number of input samples to process per call. + * @return The function returns ARM_MATH_SUCCESS if initialization was successful or ARM_MATH_LENGTH_ERROR if + * blockSize is not a multiple of M. + * + * Description: + * \par + * pCoeffs points to the array of filter coefficients stored in time reversed order: + *
+ *    {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+ * 
+ * \par + * pState points to the array of state variables. + * pState is of length numTaps+blockSize-1 words where blockSize is the number of input samples + * to the call arm_fir_decimate_q15(). + * M is the decimation factor. + */ + +arm_status arm_fir_decimate_init_q15( + arm_fir_decimate_instance_q15 * S, + uint16_t numTaps, + uint8_t M, + q15_t * pCoeffs, + q15_t * pState, + uint32_t blockSize) +{ + + arm_status status; + + /* The size of the input block must be a multiple of the decimation factor */ + if ((blockSize % M) != 0U) + { + /* Set status as ARM_MATH_LENGTH_ERROR */ + status = ARM_MATH_LENGTH_ERROR; + } + else + { + /* Assign filter taps */ + S->numTaps = numTaps; + + /* Assign coefficient pointer */ + S->pCoeffs = pCoeffs; + + /* Clear the state buffer. The size of buffer is always (blockSize + numTaps - 1) */ + memset(pState, 0, (numTaps + (blockSize - 1U)) * sizeof(q15_t)); + + /* Assign state pointer */ + S->pState = pState; + + /* Assign Decimation factor */ + S->M = M; + + status = ARM_MATH_SUCCESS; + } + + return (status); + +} + +/** + * @} end of FIR_decimate group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_init_q31.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_init_q31.c new file mode 100644 index 0000000..f6f3fb2 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_init_q31.c @@ -0,0 +1,105 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fir_decimate_init_q31.c + * Description: Initialization function for Q31 FIR Decimation filter + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupFilters + */ + +/** + * @addtogroup FIR_decimate + * @{ + */ + +/** + * @brief Initialization function for the Q31 FIR decimator. + * @param[in,out] *S points to an instance of the Q31 FIR decimator structure. + * @param[in] numTaps number of coefficients in the filter. + * @param[in] M decimation factor. + * @param[in] *pCoeffs points to the filter coefficients. + * @param[in] *pState points to the state buffer. + * @param[in] blockSize number of input samples to process per call. + * @return The function returns ARM_MATH_SUCCESS if initialization was successful or ARM_MATH_LENGTH_ERROR if + * blockSize is not a multiple of M. + * + * Description: + * \par + * pCoeffs points to the array of filter coefficients stored in time reversed order: + *
+ *    {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+ * 
+ * \par + * pState points to the array of state variables. + * pState is of length numTaps+blockSize-1 words where blockSize is the number of input samples passed to arm_fir_decimate_q31(). + * M is the decimation factor. + */ + +arm_status arm_fir_decimate_init_q31( + arm_fir_decimate_instance_q31 * S, + uint16_t numTaps, + uint8_t M, + q31_t * pCoeffs, + q31_t * pState, + uint32_t blockSize) +{ + arm_status status; + + /* The size of the input block must be a multiple of the decimation factor */ + if ((blockSize % M) != 0U) + { + /* Set status as ARM_MATH_LENGTH_ERROR */ + status = ARM_MATH_LENGTH_ERROR; + } + else + { + /* Assign filter taps */ + S->numTaps = numTaps; + + /* Assign coefficient pointer */ + S->pCoeffs = pCoeffs; + + /* Clear the state buffer. The size is always (blockSize + numTaps - 1) */ + memset(pState, 0, (numTaps + (blockSize - 1)) * sizeof(q31_t)); + + /* Assign state pointer */ + S->pState = pState; + + /* Assign Decimation factor */ + S->M = M; + + status = ARM_MATH_SUCCESS; + } + + return (status); + +} + +/** + * @} end of FIR_decimate group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_q15.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_q15.c new file mode 100644 index 0000000..56f12fb --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_q15.c @@ -0,0 +1,684 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fir_decimate_q15.c + * Description: Q15 FIR Decimator + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupFilters + */ + +/** + * @addtogroup FIR_decimate + * @{ + */ + +/** + * @brief Processing function for the Q15 FIR decimator. + * @param[in] *S points to an instance of the Q15 FIR decimator structure. + * @param[in] *pSrc points to the block of input data. + * @param[out] *pDst points to the location where the output result is written. + * @param[in] blockSize number of input samples to process per call. + * @return none. + * + * Scaling and Overflow Behavior: + * \par + * The function is implemented using a 64-bit internal accumulator. + * Both coefficients and state variables are represented in 1.15 format and multiplications yield a 2.30 result. + * The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format. + * There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved. + * After all additions have been performed, the accumulator is truncated to 34.15 format by discarding low 15 bits. + * Lastly, the accumulator is saturated to yield a result in 1.15 format. + * + * \par + * Refer to the function arm_fir_decimate_fast_q15() for a faster but less precise implementation of this function for Cortex-M3 and Cortex-M4. + */ + +#if defined (ARM_MATH_DSP) + +#ifndef UNALIGNED_SUPPORT_DISABLE + +void arm_fir_decimate_q15( + const arm_fir_decimate_instance_q15 * S, + q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize) +{ + q15_t *pState = S->pState; /* State pointer */ + q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + q15_t *pStateCurnt; /* Points to the current sample of the state */ + q15_t *px; /* Temporary pointer for state buffer */ + q15_t *pb; /* Temporary pointer coefficient buffer */ + q31_t x0, x1, c0, c1; /* Temporary variables to hold state and coefficient values */ + q63_t sum0; /* Accumulators */ + q63_t acc0, acc1; + q15_t *px0, *px1; + uint32_t blkCntN3; + uint32_t numTaps = S->numTaps; /* Number of taps */ + uint32_t i, blkCnt, tapCnt, outBlockSize = blockSize / S->M; /* Loop counters */ + + + /* S->pState buffer contains previous frame (numTaps - 1) samples */ + /* pStateCurnt points to the location where the new input data should be written */ + pStateCurnt = S->pState + (numTaps - 1U); + + + /* Total number of output samples to be computed */ + blkCnt = outBlockSize / 2; + blkCntN3 = outBlockSize - (2 * blkCnt); + + + while (blkCnt > 0U) + { + /* Copy decimation factor number of new input samples into the state buffer */ + i = 2 * S->M; + + do + { + *pStateCurnt++ = *pSrc++; + + } while (--i); + + /* Set accumulator to zero */ + acc0 = 0; + acc1 = 0; + + /* Initialize state pointer */ + px0 = pState; + + px1 = pState + S->M; + + + /* Initialize coeff pointer */ + pb = pCoeffs; + + /* Loop unrolling. Process 4 taps at a time. */ + tapCnt = numTaps >> 2; + + /* Loop over the number of taps. Unroll by a factor of 4. + ** Repeat until we've computed numTaps-4 coefficients. */ + while (tapCnt > 0U) + { + /* Read the Read b[numTaps-1] and b[numTaps-2] coefficients */ + c0 = *__SIMD32(pb)++; + + /* Read x[n-numTaps-1] and x[n-numTaps-2]sample */ + x0 = *__SIMD32(px0)++; + + x1 = *__SIMD32(px1)++; + + /* Perform the multiply-accumulate */ + acc0 = __SMLALD(x0, c0, acc0); + + acc1 = __SMLALD(x1, c0, acc1); + + /* Read the b[numTaps-3] and b[numTaps-4] coefficient */ + c0 = *__SIMD32(pb)++; + + /* Read x[n-numTaps-2] and x[n-numTaps-3] sample */ + x0 = *__SIMD32(px0)++; + + x1 = *__SIMD32(px1)++; + + /* Perform the multiply-accumulate */ + acc0 = __SMLALD(x0, c0, acc0); + + acc1 = __SMLALD(x1, c0, acc1); + + /* Decrement the loop counter */ + tapCnt--; + } + + /* If the filter length is not a multiple of 4, compute the remaining filter taps */ + tapCnt = numTaps % 0x4U; + + while (tapCnt > 0U) + { + /* Read coefficients */ + c0 = *pb++; + + /* Fetch 1 state variable */ + x0 = *px0++; + + x1 = *px1++; + + /* Perform the multiply-accumulate */ + acc0 = __SMLALD(x0, c0, acc0); + acc1 = __SMLALD(x1, c0, acc1); + + /* Decrement the loop counter */ + tapCnt--; + } + + /* Advance the state pointer by the decimation factor + * to process the next group of decimation factor number samples */ + pState = pState + S->M * 2; + + /* Store filter output, smlad returns the values in 2.14 format */ + /* so downsacle by 15 to get output in 1.15 */ + *pDst++ = (q15_t) (__SSAT((acc0 >> 15), 16)); + *pDst++ = (q15_t) (__SSAT((acc1 >> 15), 16)); + + /* Decrement the loop counter */ + blkCnt--; + } + + + + while (blkCntN3 > 0U) + { + /* Copy decimation factor number of new input samples into the state buffer */ + i = S->M; + + do + { + *pStateCurnt++ = *pSrc++; + + } while (--i); + + /*Set sum to zero */ + sum0 = 0; + + /* Initialize state pointer */ + px = pState; + + /* Initialize coeff pointer */ + pb = pCoeffs; + + /* Loop unrolling. Process 4 taps at a time. */ + tapCnt = numTaps >> 2; + + /* Loop over the number of taps. Unroll by a factor of 4. + ** Repeat until we've computed numTaps-4 coefficients. */ + while (tapCnt > 0U) + { + /* Read the Read b[numTaps-1] and b[numTaps-2] coefficients */ + c0 = *__SIMD32(pb)++; + + /* Read x[n-numTaps-1] and x[n-numTaps-2]sample */ + x0 = *__SIMD32(px)++; + + /* Read the b[numTaps-3] and b[numTaps-4] coefficient */ + c1 = *__SIMD32(pb)++; + + /* Perform the multiply-accumulate */ + sum0 = __SMLALD(x0, c0, sum0); + + /* Read x[n-numTaps-2] and x[n-numTaps-3] sample */ + x0 = *__SIMD32(px)++; + + /* Perform the multiply-accumulate */ + sum0 = __SMLALD(x0, c1, sum0); + + /* Decrement the loop counter */ + tapCnt--; + } + + /* If the filter length is not a multiple of 4, compute the remaining filter taps */ + tapCnt = numTaps % 0x4U; + + while (tapCnt > 0U) + { + /* Read coefficients */ + c0 = *pb++; + + /* Fetch 1 state variable */ + x0 = *px++; + + /* Perform the multiply-accumulate */ + sum0 = __SMLALD(x0, c0, sum0); + + /* Decrement the loop counter */ + tapCnt--; + } + + /* Advance the state pointer by the decimation factor + * to process the next group of decimation factor number samples */ + pState = pState + S->M; + + /* Store filter output, smlad returns the values in 2.14 format */ + /* so downsacle by 15 to get output in 1.15 */ + *pDst++ = (q15_t) (__SSAT((sum0 >> 15), 16)); + + /* Decrement the loop counter */ + blkCntN3--; + } + + /* Processing is complete. + ** Now copy the last numTaps - 1 samples to the satrt of the state buffer. + ** This prepares the state buffer for the next function call. */ + + /* Points to the start of the state buffer */ + pStateCurnt = S->pState; + + i = (numTaps - 1U) >> 2U; + + /* copy data */ + while (i > 0U) + { + *__SIMD32(pStateCurnt)++ = *__SIMD32(pState)++; + *__SIMD32(pStateCurnt)++ = *__SIMD32(pState)++; + + /* Decrement the loop counter */ + i--; + } + + i = (numTaps - 1U) % 0x04U; + + /* copy data */ + while (i > 0U) + { + *pStateCurnt++ = *pState++; + + /* Decrement the loop counter */ + i--; + } +} + +#else + + +void arm_fir_decimate_q15( + const arm_fir_decimate_instance_q15 * S, + q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize) +{ + q15_t *pState = S->pState; /* State pointer */ + q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + q15_t *pStateCurnt; /* Points to the current sample of the state */ + q15_t *px; /* Temporary pointer for state buffer */ + q15_t *pb; /* Temporary pointer coefficient buffer */ + q15_t x0, x1, c0; /* Temporary variables to hold state and coefficient values */ + q63_t sum0; /* Accumulators */ + q63_t acc0, acc1; + q15_t *px0, *px1; + uint32_t blkCntN3; + uint32_t numTaps = S->numTaps; /* Number of taps */ + uint32_t i, blkCnt, tapCnt, outBlockSize = blockSize / S->M; /* Loop counters */ + + + /* S->pState buffer contains previous frame (numTaps - 1) samples */ + /* pStateCurnt points to the location where the new input data should be written */ + pStateCurnt = S->pState + (numTaps - 1U); + + + /* Total number of output samples to be computed */ + blkCnt = outBlockSize / 2; + blkCntN3 = outBlockSize - (2 * blkCnt); + + while (blkCnt > 0U) + { + /* Copy decimation factor number of new input samples into the state buffer */ + i = 2 * S->M; + + do + { + *pStateCurnt++ = *pSrc++; + + } while (--i); + + /* Set accumulator to zero */ + acc0 = 0; + acc1 = 0; + + /* Initialize state pointer */ + px0 = pState; + + px1 = pState + S->M; + + + /* Initialize coeff pointer */ + pb = pCoeffs; + + /* Loop unrolling. Process 4 taps at a time. */ + tapCnt = numTaps >> 2; + + /* Loop over the number of taps. Unroll by a factor of 4. + ** Repeat until we've computed numTaps-4 coefficients. */ + while (tapCnt > 0U) + { + /* Read the Read b[numTaps-1] coefficients */ + c0 = *pb++; + + /* Read x[n-numTaps-1] for sample 0 and for sample 1 */ + x0 = *px0++; + x1 = *px1++; + + /* Perform the multiply-accumulate */ + acc0 += x0 * c0; + acc1 += x1 * c0; + + /* Read the b[numTaps-2] coefficient */ + c0 = *pb++; + + /* Read x[n-numTaps-2] for sample 0 and sample 1 */ + x0 = *px0++; + x1 = *px1++; + + /* Perform the multiply-accumulate */ + acc0 += x0 * c0; + acc1 += x1 * c0; + + /* Read the b[numTaps-3] coefficients */ + c0 = *pb++; + + /* Read x[n-numTaps-3] for sample 0 and sample 1 */ + x0 = *px0++; + x1 = *px1++; + + /* Perform the multiply-accumulate */ + acc0 += x0 * c0; + acc1 += x1 * c0; + + /* Read the b[numTaps-4] coefficient */ + c0 = *pb++; + + /* Read x[n-numTaps-4] for sample 0 and sample 1 */ + x0 = *px0++; + x1 = *px1++; + + /* Perform the multiply-accumulate */ + acc0 += x0 * c0; + acc1 += x1 * c0; + + /* Decrement the loop counter */ + tapCnt--; + } + + /* If the filter length is not a multiple of 4, compute the remaining filter taps */ + tapCnt = numTaps % 0x4U; + + while (tapCnt > 0U) + { + /* Read coefficients */ + c0 = *pb++; + + /* Fetch 1 state variable */ + x0 = *px0++; + x1 = *px1++; + + /* Perform the multiply-accumulate */ + acc0 += x0 * c0; + acc1 += x1 * c0; + + /* Decrement the loop counter */ + tapCnt--; + } + + /* Advance the state pointer by the decimation factor + * to process the next group of decimation factor number samples */ + pState = pState + S->M * 2; + + /* Store filter output, smlad returns the values in 2.14 format */ + /* so downsacle by 15 to get output in 1.15 */ + + *pDst++ = (q15_t) (__SSAT((acc0 >> 15), 16)); + *pDst++ = (q15_t) (__SSAT((acc1 >> 15), 16)); + + /* Decrement the loop counter */ + blkCnt--; + } + + while (blkCntN3 > 0U) + { + /* Copy decimation factor number of new input samples into the state buffer */ + i = S->M; + + do + { + *pStateCurnt++ = *pSrc++; + + } while (--i); + + /*Set sum to zero */ + sum0 = 0; + + /* Initialize state pointer */ + px = pState; + + /* Initialize coeff pointer */ + pb = pCoeffs; + + /* Loop unrolling. Process 4 taps at a time. */ + tapCnt = numTaps >> 2; + + /* Loop over the number of taps. Unroll by a factor of 4. + ** Repeat until we've computed numTaps-4 coefficients. */ + while (tapCnt > 0U) + { + /* Read the Read b[numTaps-1] coefficients */ + c0 = *pb++; + + /* Read x[n-numTaps-1] and sample */ + x0 = *px++; + + /* Perform the multiply-accumulate */ + sum0 += x0 * c0; + + /* Read the b[numTaps-2] coefficient */ + c0 = *pb++; + + /* Read x[n-numTaps-2] and sample */ + x0 = *px++; + + /* Perform the multiply-accumulate */ + sum0 += x0 * c0; + + /* Read the b[numTaps-3] coefficients */ + c0 = *pb++; + + /* Read x[n-numTaps-3] sample */ + x0 = *px++; + + /* Perform the multiply-accumulate */ + sum0 += x0 * c0; + + /* Read the b[numTaps-4] coefficient */ + c0 = *pb++; + + /* Read x[n-numTaps-4] sample */ + x0 = *px++; + + /* Perform the multiply-accumulate */ + sum0 += x0 * c0; + + /* Decrement the loop counter */ + tapCnt--; + } + + /* If the filter length is not a multiple of 4, compute the remaining filter taps */ + tapCnt = numTaps % 0x4U; + + while (tapCnt > 0U) + { + /* Read coefficients */ + c0 = *pb++; + + /* Fetch 1 state variable */ + x0 = *px++; + + /* Perform the multiply-accumulate */ + sum0 += x0 * c0; + + /* Decrement the loop counter */ + tapCnt--; + } + + /* Advance the state pointer by the decimation factor + * to process the next group of decimation factor number samples */ + pState = pState + S->M; + + /* Store filter output, smlad returns the values in 2.14 format */ + /* so downsacle by 15 to get output in 1.15 */ + *pDst++ = (q15_t) (__SSAT((sum0 >> 15), 16)); + + /* Decrement the loop counter */ + blkCntN3--; + } + + /* Processing is complete. + ** Now copy the last numTaps - 1 samples to the satrt of the state buffer. + ** This prepares the state buffer for the next function call. */ + + /* Points to the start of the state buffer */ + pStateCurnt = S->pState; + + i = (numTaps - 1U) >> 2U; + + /* copy data */ + while (i > 0U) + { + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + + /* Decrement the loop counter */ + i--; + } + + i = (numTaps - 1U) % 0x04U; + + /* copy data */ + while (i > 0U) + { + *pStateCurnt++ = *pState++; + + /* Decrement the loop counter */ + i--; + } +} + + +#endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */ + +#else + + +void arm_fir_decimate_q15( + const arm_fir_decimate_instance_q15 * S, + q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize) +{ + q15_t *pState = S->pState; /* State pointer */ + q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + q15_t *pStateCurnt; /* Points to the current sample of the state */ + q15_t *px; /* Temporary pointer for state buffer */ + q15_t *pb; /* Temporary pointer coefficient buffer */ + q31_t x0, c0; /* Temporary variables to hold state and coefficient values */ + q63_t sum0; /* Accumulators */ + uint32_t numTaps = S->numTaps; /* Number of taps */ + uint32_t i, blkCnt, tapCnt, outBlockSize = blockSize / S->M; /* Loop counters */ + + + +/* Run the below code for Cortex-M0 */ + + /* S->pState buffer contains previous frame (numTaps - 1) samples */ + /* pStateCurnt points to the location where the new input data should be written */ + pStateCurnt = S->pState + (numTaps - 1U); + + /* Total number of output samples to be computed */ + blkCnt = outBlockSize; + + while (blkCnt > 0U) + { + /* Copy decimation factor number of new input samples into the state buffer */ + i = S->M; + + do + { + *pStateCurnt++ = *pSrc++; + + } while (--i); + + /*Set sum to zero */ + sum0 = 0; + + /* Initialize state pointer */ + px = pState; + + /* Initialize coeff pointer */ + pb = pCoeffs; + + tapCnt = numTaps; + + while (tapCnt > 0U) + { + /* Read coefficients */ + c0 = *pb++; + + /* Fetch 1 state variable */ + x0 = *px++; + + /* Perform the multiply-accumulate */ + sum0 += (q31_t) x0 *c0; + + /* Decrement the loop counter */ + tapCnt--; + } + + /* Advance the state pointer by the decimation factor + * to process the next group of decimation factor number samples */ + pState = pState + S->M; + + /*Store filter output , smlad will return the values in 2.14 format */ + /* so downsacle by 15 to get output in 1.15 */ + *pDst++ = (q15_t) (__SSAT((sum0 >> 15), 16)); + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Processing is complete. + ** Now copy the last numTaps - 1 samples to the start of the state buffer. + ** This prepares the state buffer for the next function call. */ + + /* Points to the start of the state buffer */ + pStateCurnt = S->pState; + + i = numTaps - 1U; + + /* copy data */ + while (i > 0U) + { + *pStateCurnt++ = *pState++; + + /* Decrement the loop counter */ + i--; + } + + +} +#endif /* #if defined (ARM_MATH_DSP) */ + + +/** + * @} end of FIR_decimate group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_q31.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_q31.c new file mode 100644 index 0000000..6a13cb5 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_q31.c @@ -0,0 +1,299 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fir_decimate_q31.c + * Description: Q31 FIR Decimator + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupFilters + */ + +/** + * @addtogroup FIR_decimate + * @{ + */ + +/** + * @brief Processing function for the Q31 FIR decimator. + * @param[in] *S points to an instance of the Q31 FIR decimator structure. + * @param[in] *pSrc points to the block of input data. + * @param[out] *pDst points to the block of output data + * @param[in] blockSize number of input samples to process per call. + * @return none + * + * Scaling and Overflow Behavior: + * \par + * The function is implemented using an internal 64-bit accumulator. + * The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit. + * Thus, if the accumulator result overflows it wraps around rather than clip. + * In order to avoid overflows completely the input signal must be scaled down by log2(numTaps) bits (where log2 is read as log to the base 2). + * After all multiply-accumulates are performed, the 2.62 accumulator is truncated to 1.32 format and then saturated to 1.31 format. + * + * \par + * Refer to the function arm_fir_decimate_fast_q31() for a faster but less precise implementation of this function for Cortex-M3 and Cortex-M4. + */ + +void arm_fir_decimate_q31( + const arm_fir_decimate_instance_q31 * S, + q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize) +{ + q31_t *pState = S->pState; /* State pointer */ + q31_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + q31_t *pStateCurnt; /* Points to the current sample of the state */ + q31_t x0, c0; /* Temporary variables to hold state and coefficient values */ + q31_t *px; /* Temporary pointers for state buffer */ + q31_t *pb; /* Temporary pointers for coefficient buffer */ + q63_t sum0; /* Accumulator */ + uint32_t numTaps = S->numTaps; /* Number of taps */ + uint32_t i, tapCnt, blkCnt, outBlockSize = blockSize / S->M; /* Loop counters */ + + +#if defined (ARM_MATH_DSP) + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + /* S->pState buffer contains previous frame (numTaps - 1) samples */ + /* pStateCurnt points to the location where the new input data should be written */ + pStateCurnt = S->pState + (numTaps - 1U); + + /* Total number of output samples to be computed */ + blkCnt = outBlockSize; + + while (blkCnt > 0U) + { + /* Copy decimation factor number of new input samples into the state buffer */ + i = S->M; + + do + { + *pStateCurnt++ = *pSrc++; + + } while (--i); + + /* Set accumulator to zero */ + sum0 = 0; + + /* Initialize state pointer */ + px = pState; + + /* Initialize coeff pointer */ + pb = pCoeffs; + + /* Loop unrolling. Process 4 taps at a time. */ + tapCnt = numTaps >> 2; + + /* Loop over the number of taps. Unroll by a factor of 4. + ** Repeat until we've computed numTaps-4 coefficients. */ + while (tapCnt > 0U) + { + /* Read the b[numTaps-1] coefficient */ + c0 = *(pb++); + + /* Read x[n-numTaps-1] sample */ + x0 = *(px++); + + /* Perform the multiply-accumulate */ + sum0 += (q63_t) x0 *c0; + + /* Read the b[numTaps-2] coefficient */ + c0 = *(pb++); + + /* Read x[n-numTaps-2] sample */ + x0 = *(px++); + + /* Perform the multiply-accumulate */ + sum0 += (q63_t) x0 *c0; + + /* Read the b[numTaps-3] coefficient */ + c0 = *(pb++); + + /* Read x[n-numTaps-3] sample */ + x0 = *(px++); + + /* Perform the multiply-accumulate */ + sum0 += (q63_t) x0 *c0; + + /* Read the b[numTaps-4] coefficient */ + c0 = *(pb++); + + /* Read x[n-numTaps-4] sample */ + x0 = *(px++); + + /* Perform the multiply-accumulate */ + sum0 += (q63_t) x0 *c0; + + /* Decrement the loop counter */ + tapCnt--; + } + + /* If the filter length is not a multiple of 4, compute the remaining filter taps */ + tapCnt = numTaps % 0x4U; + + while (tapCnt > 0U) + { + /* Read coefficients */ + c0 = *(pb++); + + /* Fetch 1 state variable */ + x0 = *(px++); + + /* Perform the multiply-accumulate */ + sum0 += (q63_t) x0 *c0; + + /* Decrement the loop counter */ + tapCnt--; + } + + /* Advance the state pointer by the decimation factor + * to process the next group of decimation factor number samples */ + pState = pState + S->M; + + /* The result is in the accumulator, store in the destination buffer. */ + *pDst++ = (q31_t) (sum0 >> 31); + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Processing is complete. + ** Now copy the last numTaps - 1 samples to the satrt of the state buffer. + ** This prepares the state buffer for the next function call. */ + + /* Points to the start of the state buffer */ + pStateCurnt = S->pState; + + i = (numTaps - 1U) >> 2U; + + /* copy data */ + while (i > 0U) + { + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + + /* Decrement the loop counter */ + i--; + } + + i = (numTaps - 1U) % 0x04U; + + /* copy data */ + while (i > 0U) + { + *pStateCurnt++ = *pState++; + + /* Decrement the loop counter */ + i--; + } + +#else + +/* Run the below code for Cortex-M0 */ + + /* S->pState buffer contains previous frame (numTaps - 1) samples */ + /* pStateCurnt points to the location where the new input data should be written */ + pStateCurnt = S->pState + (numTaps - 1U); + + /* Total number of output samples to be computed */ + blkCnt = outBlockSize; + + while (blkCnt > 0U) + { + /* Copy decimation factor number of new input samples into the state buffer */ + i = S->M; + + do + { + *pStateCurnt++ = *pSrc++; + + } while (--i); + + /* Set accumulator to zero */ + sum0 = 0; + + /* Initialize state pointer */ + px = pState; + + /* Initialize coeff pointer */ + pb = pCoeffs; + + tapCnt = numTaps; + + while (tapCnt > 0U) + { + /* Read coefficients */ + c0 = *pb++; + + /* Fetch 1 state variable */ + x0 = *px++; + + /* Perform the multiply-accumulate */ + sum0 += (q63_t) x0 *c0; + + /* Decrement the loop counter */ + tapCnt--; + } + + /* Advance the state pointer by the decimation factor + * to process the next group of decimation factor number samples */ + pState = pState + S->M; + + /* The result is in the accumulator, store in the destination buffer. */ + *pDst++ = (q31_t) (sum0 >> 31); + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Processing is complete. + ** Now copy the last numTaps - 1 samples to the start of the state buffer. + ** This prepares the state buffer for the next function call. */ + + /* Points to the start of the state buffer */ + pStateCurnt = S->pState; + + i = numTaps - 1U; + + /* copy data */ + while (i > 0U) + { + *pStateCurnt++ = *pState++; + + /* Decrement the loop counter */ + i--; + } + +#endif /* #if defined (ARM_MATH_DSP) */ + +} + +/** + * @} end of FIR_decimate group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_f32.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_f32.c new file mode 100644 index 0000000..812f9df --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_f32.c @@ -0,0 +1,985 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fir_f32.c + * Description: Floating-point FIR filter processing function + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** +* @ingroup groupFilters +*/ + +/** +* @defgroup FIR Finite Impulse Response (FIR) Filters +* +* This set of functions implements Finite Impulse Response (FIR) filters +* for Q7, Q15, Q31, and floating-point data types. Fast versions of Q15 and Q31 are also provided. +* The functions operate on blocks of input and output data and each call to the function processes +* blockSize samples through the filter. pSrc and +* pDst points to input and output arrays containing blockSize values. +* +* \par Algorithm: +* The FIR filter algorithm is based upon a sequence of multiply-accumulate (MAC) operations. +* Each filter coefficient b[n] is multiplied by a state variable which equals a previous input sample x[n]. +*
+*    y[n] = b[0] * x[n] + b[1] * x[n-1] + b[2] * x[n-2] + ...+ b[numTaps-1] * x[n-numTaps+1]
+* 
+* \par +* \image html FIR.gif "Finite Impulse Response filter" +* \par +* pCoeffs points to a coefficient array of size numTaps. +* Coefficients are stored in time reversed order. +* \par +*
+*    {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+* 
+* \par +* pState points to a state array of size numTaps + blockSize - 1. +* Samples in the state buffer are stored in the following order. +* \par +*
+*    {x[n-numTaps+1], x[n-numTaps], x[n-numTaps-1], x[n-numTaps-2]....x[0], x[1], ..., x[blockSize-1]}
+* 
+* \par +* Note that the length of the state buffer exceeds the length of the coefficient array by blockSize-1. +* The increased state buffer length allows circular addressing, which is traditionally used in the FIR filters, +* to be avoided and yields a significant speed improvement. +* The state variables are updated after each block of data is processed; the coefficients are untouched. +* \par Instance Structure +* The coefficients and state variables for a filter are stored together in an instance data structure. +* A separate instance structure must be defined for each filter. +* Coefficient arrays may be shared among several instances while state variable arrays cannot be shared. +* There are separate instance structure declarations for each of the 4 supported data types. +* +* \par Initialization Functions +* There is also an associated initialization function for each data type. +* The initialization function performs the following operations: +* - Sets the values of the internal structure fields. +* - Zeros out the values in the state buffer. +* To do this manually without calling the init function, assign the follow subfields of the instance structure: +* numTaps, pCoeffs, pState. Also set all of the values in pState to zero. +* +* \par +* Use of the initialization function is optional. +* However, if the initialization function is used, then the instance structure cannot be placed into a const data section. +* To place an instance structure into a const data section, the instance structure must be manually initialized. +* Set the values in the state buffer to zeros before static initialization. +* The code below statically initializes each of the 4 different data type filter instance structures +*
+*arm_fir_instance_f32 S = {numTaps, pState, pCoeffs};
+*arm_fir_instance_q31 S = {numTaps, pState, pCoeffs};
+*arm_fir_instance_q15 S = {numTaps, pState, pCoeffs};
+*arm_fir_instance_q7 S =  {numTaps, pState, pCoeffs};
+* 
+* +* where numTaps is the number of filter coefficients in the filter; pState is the address of the state buffer; +* pCoeffs is the address of the coefficient buffer. +* +* \par Fixed-Point Behavior +* Care must be taken when using the fixed-point versions of the FIR filter functions. +* In particular, the overflow and saturation behavior of the accumulator used in each function must be considered. +* Refer to the function specific documentation below for usage guidelines. +*/ + +/** +* @addtogroup FIR +* @{ +*/ + +/** +* +* @param[in] *S points to an instance of the floating-point FIR filter structure. +* @param[in] *pSrc points to the block of input data. +* @param[out] *pDst points to the block of output data. +* @param[in] blockSize number of samples to process per call. +* @return none. +* +*/ + +#if defined(ARM_MATH_CM7) + +void arm_fir_f32( +const arm_fir_instance_f32 * S, +float32_t * pSrc, +float32_t * pDst, +uint32_t blockSize) +{ + float32_t *pState = S->pState; /* State pointer */ + float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + float32_t *pStateCurnt; /* Points to the current sample of the state */ + float32_t *px, *pb; /* Temporary pointers for state and coefficient buffers */ + float32_t acc0, acc1, acc2, acc3, acc4, acc5, acc6, acc7; /* Accumulators */ + float32_t x0, x1, x2, x3, x4, x5, x6, x7, c0; /* Temporary variables to hold state and coefficient values */ + uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */ + uint32_t i, tapCnt, blkCnt; /* Loop counters */ + + /* S->pState points to state array which contains previous frame (numTaps - 1) samples */ + /* pStateCurnt points to the location where the new input data should be written */ + pStateCurnt = &(S->pState[(numTaps - 1U)]); + + /* Apply loop unrolling and compute 8 output values simultaneously. + * The variables acc0 ... acc7 hold output values that are being computed: + * + * acc0 = b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0] + * acc1 = b[numTaps-1] * x[n-numTaps] + b[numTaps-2] * x[n-numTaps-1] + b[numTaps-3] * x[n-numTaps-2] +...+ b[0] * x[1] + * acc2 = b[numTaps-1] * x[n-numTaps+1] + b[numTaps-2] * x[n-numTaps] + b[numTaps-3] * x[n-numTaps-1] +...+ b[0] * x[2] + * acc3 = b[numTaps-1] * x[n-numTaps+2] + b[numTaps-2] * x[n-numTaps+1] + b[numTaps-3] * x[n-numTaps] +...+ b[0] * x[3] + */ + blkCnt = blockSize >> 3; + + /* First part of the processing with loop unrolling. Compute 8 outputs at a time. + ** a second loop below computes the remaining 1 to 7 samples. */ + while (blkCnt > 0U) + { + /* Copy four new input samples into the state buffer */ + *pStateCurnt++ = *pSrc++; + *pStateCurnt++ = *pSrc++; + *pStateCurnt++ = *pSrc++; + *pStateCurnt++ = *pSrc++; + + /* Set all accumulators to zero */ + acc0 = 0.0f; + acc1 = 0.0f; + acc2 = 0.0f; + acc3 = 0.0f; + acc4 = 0.0f; + acc5 = 0.0f; + acc6 = 0.0f; + acc7 = 0.0f; + + /* Initialize state pointer */ + px = pState; + + /* Initialize coeff pointer */ + pb = (pCoeffs); + + /* This is separated from the others to avoid + * a call to __aeabi_memmove which would be slower + */ + *pStateCurnt++ = *pSrc++; + *pStateCurnt++ = *pSrc++; + *pStateCurnt++ = *pSrc++; + *pStateCurnt++ = *pSrc++; + + /* Read the first seven samples from the state buffer: x[n-numTaps], x[n-numTaps-1], x[n-numTaps-2] */ + x0 = *px++; + x1 = *px++; + x2 = *px++; + x3 = *px++; + x4 = *px++; + x5 = *px++; + x6 = *px++; + + /* Loop unrolling. Process 8 taps at a time. */ + tapCnt = numTaps >> 3U; + + /* Loop over the number of taps. Unroll by a factor of 8. + ** Repeat until we've computed numTaps-8 coefficients. */ + while (tapCnt > 0U) + { + /* Read the b[numTaps-1] coefficient */ + c0 = *(pb++); + + /* Read x[n-numTaps-3] sample */ + x7 = *(px++); + + /* acc0 += b[numTaps-1] * x[n-numTaps] */ + acc0 += x0 * c0; + + /* acc1 += b[numTaps-1] * x[n-numTaps-1] */ + acc1 += x1 * c0; + + /* acc2 += b[numTaps-1] * x[n-numTaps-2] */ + acc2 += x2 * c0; + + /* acc3 += b[numTaps-1] * x[n-numTaps-3] */ + acc3 += x3 * c0; + + /* acc4 += b[numTaps-1] * x[n-numTaps-4] */ + acc4 += x4 * c0; + + /* acc1 += b[numTaps-1] * x[n-numTaps-5] */ + acc5 += x5 * c0; + + /* acc2 += b[numTaps-1] * x[n-numTaps-6] */ + acc6 += x6 * c0; + + /* acc3 += b[numTaps-1] * x[n-numTaps-7] */ + acc7 += x7 * c0; + + /* Read the b[numTaps-2] coefficient */ + c0 = *(pb++); + + /* Read x[n-numTaps-4] sample */ + x0 = *(px++); + + /* Perform the multiply-accumulate */ + acc0 += x1 * c0; + acc1 += x2 * c0; + acc2 += x3 * c0; + acc3 += x4 * c0; + acc4 += x5 * c0; + acc5 += x6 * c0; + acc6 += x7 * c0; + acc7 += x0 * c0; + + /* Read the b[numTaps-3] coefficient */ + c0 = *(pb++); + + /* Read x[n-numTaps-5] sample */ + x1 = *(px++); + + /* Perform the multiply-accumulates */ + acc0 += x2 * c0; + acc1 += x3 * c0; + acc2 += x4 * c0; + acc3 += x5 * c0; + acc4 += x6 * c0; + acc5 += x7 * c0; + acc6 += x0 * c0; + acc7 += x1 * c0; + + /* Read the b[numTaps-4] coefficient */ + c0 = *(pb++); + + /* Read x[n-numTaps-6] sample */ + x2 = *(px++); + + /* Perform the multiply-accumulates */ + acc0 += x3 * c0; + acc1 += x4 * c0; + acc2 += x5 * c0; + acc3 += x6 * c0; + acc4 += x7 * c0; + acc5 += x0 * c0; + acc6 += x1 * c0; + acc7 += x2 * c0; + + /* Read the b[numTaps-4] coefficient */ + c0 = *(pb++); + + /* Read x[n-numTaps-6] sample */ + x3 = *(px++); + /* Perform the multiply-accumulates */ + acc0 += x4 * c0; + acc1 += x5 * c0; + acc2 += x6 * c0; + acc3 += x7 * c0; + acc4 += x0 * c0; + acc5 += x1 * c0; + acc6 += x2 * c0; + acc7 += x3 * c0; + + /* Read the b[numTaps-4] coefficient */ + c0 = *(pb++); + + /* Read x[n-numTaps-6] sample */ + x4 = *(px++); + + /* Perform the multiply-accumulates */ + acc0 += x5 * c0; + acc1 += x6 * c0; + acc2 += x7 * c0; + acc3 += x0 * c0; + acc4 += x1 * c0; + acc5 += x2 * c0; + acc6 += x3 * c0; + acc7 += x4 * c0; + + /* Read the b[numTaps-4] coefficient */ + c0 = *(pb++); + + /* Read x[n-numTaps-6] sample */ + x5 = *(px++); + + /* Perform the multiply-accumulates */ + acc0 += x6 * c0; + acc1 += x7 * c0; + acc2 += x0 * c0; + acc3 += x1 * c0; + acc4 += x2 * c0; + acc5 += x3 * c0; + acc6 += x4 * c0; + acc7 += x5 * c0; + + /* Read the b[numTaps-4] coefficient */ + c0 = *(pb++); + + /* Read x[n-numTaps-6] sample */ + x6 = *(px++); + + /* Perform the multiply-accumulates */ + acc0 += x7 * c0; + acc1 += x0 * c0; + acc2 += x1 * c0; + acc3 += x2 * c0; + acc4 += x3 * c0; + acc5 += x4 * c0; + acc6 += x5 * c0; + acc7 += x6 * c0; + + tapCnt--; + } + + /* If the filter length is not a multiple of 8, compute the remaining filter taps */ + tapCnt = numTaps % 0x8U; + + while (tapCnt > 0U) + { + /* Read coefficients */ + c0 = *(pb++); + + /* Fetch 1 state variable */ + x7 = *(px++); + + /* Perform the multiply-accumulates */ + acc0 += x0 * c0; + acc1 += x1 * c0; + acc2 += x2 * c0; + acc3 += x3 * c0; + acc4 += x4 * c0; + acc5 += x5 * c0; + acc6 += x6 * c0; + acc7 += x7 * c0; + + /* Reuse the present sample states for next sample */ + x0 = x1; + x1 = x2; + x2 = x3; + x3 = x4; + x4 = x5; + x5 = x6; + x6 = x7; + + /* Decrement the loop counter */ + tapCnt--; + } + + /* Advance the state pointer by 8 to process the next group of 8 samples */ + pState = pState + 8; + + /* The results in the 8 accumulators, store in the destination buffer. */ + *pDst++ = acc0; + *pDst++ = acc1; + *pDst++ = acc2; + *pDst++ = acc3; + *pDst++ = acc4; + *pDst++ = acc5; + *pDst++ = acc6; + *pDst++ = acc7; + + blkCnt--; + } + + /* If the blockSize is not a multiple of 8, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x8U; + + while (blkCnt > 0U) + { + /* Copy one sample at a time into state buffer */ + *pStateCurnt++ = *pSrc++; + + /* Set the accumulator to zero */ + acc0 = 0.0f; + + /* Initialize state pointer */ + px = pState; + + /* Initialize Coefficient pointer */ + pb = (pCoeffs); + + i = numTaps; + + /* Perform the multiply-accumulates */ + do + { + acc0 += *px++ * *pb++; + i--; + + } while (i > 0U); + + /* The result is store in the destination buffer. */ + *pDst++ = acc0; + + /* Advance state pointer by 1 for the next sample */ + pState = pState + 1; + + blkCnt--; + } + + /* Processing is complete. + ** Now copy the last numTaps - 1 samples to the start of the state buffer. + ** This prepares the state buffer for the next function call. */ + + /* Points to the start of the state buffer */ + pStateCurnt = S->pState; + + tapCnt = (numTaps - 1U) >> 2U; + + /* copy data */ + while (tapCnt > 0U) + { + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + + /* Decrement the loop counter */ + tapCnt--; + } + + /* Calculate remaining number of copies */ + tapCnt = (numTaps - 1U) % 0x4U; + + /* Copy the remaining q31_t data */ + while (tapCnt > 0U) + { + *pStateCurnt++ = *pState++; + + /* Decrement the loop counter */ + tapCnt--; + } +} + +#elif defined(ARM_MATH_CM0_FAMILY) + +void arm_fir_f32( +const arm_fir_instance_f32 * S, +float32_t * pSrc, +float32_t * pDst, +uint32_t blockSize) +{ + float32_t *pState = S->pState; /* State pointer */ + float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + float32_t *pStateCurnt; /* Points to the current sample of the state */ + float32_t *px, *pb; /* Temporary pointers for state and coefficient buffers */ + uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */ + uint32_t i, tapCnt, blkCnt; /* Loop counters */ + + /* Run the below code for Cortex-M0 */ + + float32_t acc; + + /* S->pState points to state array which contains previous frame (numTaps - 1) samples */ + /* pStateCurnt points to the location where the new input data should be written */ + pStateCurnt = &(S->pState[(numTaps - 1U)]); + + /* Initialize blkCnt with blockSize */ + blkCnt = blockSize; + + while (blkCnt > 0U) + { + /* Copy one sample at a time into state buffer */ + *pStateCurnt++ = *pSrc++; + + /* Set the accumulator to zero */ + acc = 0.0f; + + /* Initialize state pointer */ + px = pState; + + /* Initialize Coefficient pointer */ + pb = pCoeffs; + + i = numTaps; + + /* Perform the multiply-accumulates */ + do + { + /* acc = b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0] */ + acc += *px++ * *pb++; + i--; + + } while (i > 0U); + + /* The result is store in the destination buffer. */ + *pDst++ = acc; + + /* Advance state pointer by 1 for the next sample */ + pState = pState + 1; + + blkCnt--; + } + + /* Processing is complete. + ** Now copy the last numTaps - 1 samples to the starting of the state buffer. + ** This prepares the state buffer for the next function call. */ + + /* Points to the start of the state buffer */ + pStateCurnt = S->pState; + + /* Copy numTaps number of values */ + tapCnt = numTaps - 1U; + + /* Copy data */ + while (tapCnt > 0U) + { + *pStateCurnt++ = *pState++; + + /* Decrement the loop counter */ + tapCnt--; + } + +} + +#else + +/* Run the below code for Cortex-M4 and Cortex-M3 */ + +void arm_fir_f32( +const arm_fir_instance_f32 * S, +float32_t * pSrc, +float32_t * pDst, +uint32_t blockSize) +{ + float32_t *pState = S->pState; /* State pointer */ + float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + float32_t *pStateCurnt; /* Points to the current sample of the state */ + float32_t *px, *pb; /* Temporary pointers for state and coefficient buffers */ + float32_t acc0, acc1, acc2, acc3, acc4, acc5, acc6, acc7; /* Accumulators */ + float32_t x0, x1, x2, x3, x4, x5, x6, x7, c0; /* Temporary variables to hold state and coefficient values */ + uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */ + uint32_t i, tapCnt, blkCnt; /* Loop counters */ + float32_t p0,p1,p2,p3,p4,p5,p6,p7; /* Temporary product values */ + + /* S->pState points to state array which contains previous frame (numTaps - 1) samples */ + /* pStateCurnt points to the location where the new input data should be written */ + pStateCurnt = &(S->pState[(numTaps - 1U)]); + + /* Apply loop unrolling and compute 8 output values simultaneously. + * The variables acc0 ... acc7 hold output values that are being computed: + * + * acc0 = b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0] + * acc1 = b[numTaps-1] * x[n-numTaps] + b[numTaps-2] * x[n-numTaps-1] + b[numTaps-3] * x[n-numTaps-2] +...+ b[0] * x[1] + * acc2 = b[numTaps-1] * x[n-numTaps+1] + b[numTaps-2] * x[n-numTaps] + b[numTaps-3] * x[n-numTaps-1] +...+ b[0] * x[2] + * acc3 = b[numTaps-1] * x[n-numTaps+2] + b[numTaps-2] * x[n-numTaps+1] + b[numTaps-3] * x[n-numTaps] +...+ b[0] * x[3] + */ + blkCnt = blockSize >> 3; + + /* First part of the processing with loop unrolling. Compute 8 outputs at a time. + ** a second loop below computes the remaining 1 to 7 samples. */ + while (blkCnt > 0U) + { + /* Copy four new input samples into the state buffer */ + *pStateCurnt++ = *pSrc++; + *pStateCurnt++ = *pSrc++; + *pStateCurnt++ = *pSrc++; + *pStateCurnt++ = *pSrc++; + + /* Set all accumulators to zero */ + acc0 = 0.0f; + acc1 = 0.0f; + acc2 = 0.0f; + acc3 = 0.0f; + acc4 = 0.0f; + acc5 = 0.0f; + acc6 = 0.0f; + acc7 = 0.0f; + + /* Initialize state pointer */ + px = pState; + + /* Initialize coeff pointer */ + pb = (pCoeffs); + + /* This is separated from the others to avoid + * a call to __aeabi_memmove which would be slower + */ + *pStateCurnt++ = *pSrc++; + *pStateCurnt++ = *pSrc++; + *pStateCurnt++ = *pSrc++; + *pStateCurnt++ = *pSrc++; + + /* Read the first seven samples from the state buffer: x[n-numTaps], x[n-numTaps-1], x[n-numTaps-2] */ + x0 = *px++; + x1 = *px++; + x2 = *px++; + x3 = *px++; + x4 = *px++; + x5 = *px++; + x6 = *px++; + + /* Loop unrolling. Process 8 taps at a time. */ + tapCnt = numTaps >> 3U; + + /* Loop over the number of taps. Unroll by a factor of 8. + ** Repeat until we've computed numTaps-8 coefficients. */ + while (tapCnt > 0U) + { + /* Read the b[numTaps-1] coefficient */ + c0 = *(pb++); + + /* Read x[n-numTaps-3] sample */ + x7 = *(px++); + + /* acc0 += b[numTaps-1] * x[n-numTaps] */ + p0 = x0 * c0; + + /* acc1 += b[numTaps-1] * x[n-numTaps-1] */ + p1 = x1 * c0; + + /* acc2 += b[numTaps-1] * x[n-numTaps-2] */ + p2 = x2 * c0; + + /* acc3 += b[numTaps-1] * x[n-numTaps-3] */ + p3 = x3 * c0; + + /* acc4 += b[numTaps-1] * x[n-numTaps-4] */ + p4 = x4 * c0; + + /* acc1 += b[numTaps-1] * x[n-numTaps-5] */ + p5 = x5 * c0; + + /* acc2 += b[numTaps-1] * x[n-numTaps-6] */ + p6 = x6 * c0; + + /* acc3 += b[numTaps-1] * x[n-numTaps-7] */ + p7 = x7 * c0; + + /* Read the b[numTaps-2] coefficient */ + c0 = *(pb++); + + /* Read x[n-numTaps-4] sample */ + x0 = *(px++); + + acc0 += p0; + acc1 += p1; + acc2 += p2; + acc3 += p3; + acc4 += p4; + acc5 += p5; + acc6 += p6; + acc7 += p7; + + + /* Perform the multiply-accumulate */ + p0 = x1 * c0; + p1 = x2 * c0; + p2 = x3 * c0; + p3 = x4 * c0; + p4 = x5 * c0; + p5 = x6 * c0; + p6 = x7 * c0; + p7 = x0 * c0; + + /* Read the b[numTaps-3] coefficient */ + c0 = *(pb++); + + /* Read x[n-numTaps-5] sample */ + x1 = *(px++); + + acc0 += p0; + acc1 += p1; + acc2 += p2; + acc3 += p3; + acc4 += p4; + acc5 += p5; + acc6 += p6; + acc7 += p7; + + /* Perform the multiply-accumulates */ + p0 = x2 * c0; + p1 = x3 * c0; + p2 = x4 * c0; + p3 = x5 * c0; + p4 = x6 * c0; + p5 = x7 * c0; + p6 = x0 * c0; + p7 = x1 * c0; + + /* Read the b[numTaps-4] coefficient */ + c0 = *(pb++); + + /* Read x[n-numTaps-6] sample */ + x2 = *(px++); + + acc0 += p0; + acc1 += p1; + acc2 += p2; + acc3 += p3; + acc4 += p4; + acc5 += p5; + acc6 += p6; + acc7 += p7; + + /* Perform the multiply-accumulates */ + p0 = x3 * c0; + p1 = x4 * c0; + p2 = x5 * c0; + p3 = x6 * c0; + p4 = x7 * c0; + p5 = x0 * c0; + p6 = x1 * c0; + p7 = x2 * c0; + + /* Read the b[numTaps-4] coefficient */ + c0 = *(pb++); + + /* Read x[n-numTaps-6] sample */ + x3 = *(px++); + + acc0 += p0; + acc1 += p1; + acc2 += p2; + acc3 += p3; + acc4 += p4; + acc5 += p5; + acc6 += p6; + acc7 += p7; + + /* Perform the multiply-accumulates */ + p0 = x4 * c0; + p1 = x5 * c0; + p2 = x6 * c0; + p3 = x7 * c0; + p4 = x0 * c0; + p5 = x1 * c0; + p6 = x2 * c0; + p7 = x3 * c0; + + /* Read the b[numTaps-4] coefficient */ + c0 = *(pb++); + + /* Read x[n-numTaps-6] sample */ + x4 = *(px++); + + acc0 += p0; + acc1 += p1; + acc2 += p2; + acc3 += p3; + acc4 += p4; + acc5 += p5; + acc6 += p6; + acc7 += p7; + + /* Perform the multiply-accumulates */ + p0 = x5 * c0; + p1 = x6 * c0; + p2 = x7 * c0; + p3 = x0 * c0; + p4 = x1 * c0; + p5 = x2 * c0; + p6 = x3 * c0; + p7 = x4 * c0; + + /* Read the b[numTaps-4] coefficient */ + c0 = *(pb++); + + /* Read x[n-numTaps-6] sample */ + x5 = *(px++); + + acc0 += p0; + acc1 += p1; + acc2 += p2; + acc3 += p3; + acc4 += p4; + acc5 += p5; + acc6 += p6; + acc7 += p7; + + /* Perform the multiply-accumulates */ + p0 = x6 * c0; + p1 = x7 * c0; + p2 = x0 * c0; + p3 = x1 * c0; + p4 = x2 * c0; + p5 = x3 * c0; + p6 = x4 * c0; + p7 = x5 * c0; + + /* Read the b[numTaps-4] coefficient */ + c0 = *(pb++); + + /* Read x[n-numTaps-6] sample */ + x6 = *(px++); + + acc0 += p0; + acc1 += p1; + acc2 += p2; + acc3 += p3; + acc4 += p4; + acc5 += p5; + acc6 += p6; + acc7 += p7; + + /* Perform the multiply-accumulates */ + p0 = x7 * c0; + p1 = x0 * c0; + p2 = x1 * c0; + p3 = x2 * c0; + p4 = x3 * c0; + p5 = x4 * c0; + p6 = x5 * c0; + p7 = x6 * c0; + + tapCnt--; + + acc0 += p0; + acc1 += p1; + acc2 += p2; + acc3 += p3; + acc4 += p4; + acc5 += p5; + acc6 += p6; + acc7 += p7; + } + + /* If the filter length is not a multiple of 8, compute the remaining filter taps */ + tapCnt = numTaps % 0x8U; + + while (tapCnt > 0U) + { + /* Read coefficients */ + c0 = *(pb++); + + /* Fetch 1 state variable */ + x7 = *(px++); + + /* Perform the multiply-accumulates */ + p0 = x0 * c0; + p1 = x1 * c0; + p2 = x2 * c0; + p3 = x3 * c0; + p4 = x4 * c0; + p5 = x5 * c0; + p6 = x6 * c0; + p7 = x7 * c0; + + /* Reuse the present sample states for next sample */ + x0 = x1; + x1 = x2; + x2 = x3; + x3 = x4; + x4 = x5; + x5 = x6; + x6 = x7; + + acc0 += p0; + acc1 += p1; + acc2 += p2; + acc3 += p3; + acc4 += p4; + acc5 += p5; + acc6 += p6; + acc7 += p7; + + /* Decrement the loop counter */ + tapCnt--; + } + + /* Advance the state pointer by 8 to process the next group of 8 samples */ + pState = pState + 8; + + /* The results in the 8 accumulators, store in the destination buffer. */ + *pDst++ = acc0; + *pDst++ = acc1; + *pDst++ = acc2; + *pDst++ = acc3; + *pDst++ = acc4; + *pDst++ = acc5; + *pDst++ = acc6; + *pDst++ = acc7; + + blkCnt--; + } + + /* If the blockSize is not a multiple of 8, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x8U; + + while (blkCnt > 0U) + { + /* Copy one sample at a time into state buffer */ + *pStateCurnt++ = *pSrc++; + + /* Set the accumulator to zero */ + acc0 = 0.0f; + + /* Initialize state pointer */ + px = pState; + + /* Initialize Coefficient pointer */ + pb = (pCoeffs); + + i = numTaps; + + /* Perform the multiply-accumulates */ + do + { + acc0 += *px++ * *pb++; + i--; + + } while (i > 0U); + + /* The result is store in the destination buffer. */ + *pDst++ = acc0; + + /* Advance state pointer by 1 for the next sample */ + pState = pState + 1; + + blkCnt--; + } + + /* Processing is complete. + ** Now copy the last numTaps - 1 samples to the start of the state buffer. + ** This prepares the state buffer for the next function call. */ + + /* Points to the start of the state buffer */ + pStateCurnt = S->pState; + + tapCnt = (numTaps - 1U) >> 2U; + + /* copy data */ + while (tapCnt > 0U) + { + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + + /* Decrement the loop counter */ + tapCnt--; + } + + /* Calculate remaining number of copies */ + tapCnt = (numTaps - 1U) % 0x4U; + + /* Copy the remaining q31_t data */ + while (tapCnt > 0U) + { + *pStateCurnt++ = *pState++; + + /* Decrement the loop counter */ + tapCnt--; + } +} + +#endif + +/** +* @} end of FIR group +*/ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_fast_q15.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_fast_q15.c new file mode 100644 index 0000000..35e431b --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_fast_q15.c @@ -0,0 +1,333 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fir_fast_q15.c + * Description: Q15 Fast FIR filter processing function + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupFilters + */ + +/** + * @addtogroup FIR + * @{ + */ + +/** + * @param[in] *S points to an instance of the Q15 FIR filter structure. + * @param[in] *pSrc points to the block of input data. + * @param[out] *pDst points to the block of output data. + * @param[in] blockSize number of samples to process per call. + * @return none. + * + * Scaling and Overflow Behavior: + * \par + * This fast version uses a 32-bit accumulator with 2.30 format. + * The accumulator maintains full precision of the intermediate multiplication results but provides only a single guard bit. + * Thus, if the accumulator result overflows it wraps around and distorts the result. + * In order to avoid overflows completely the input signal must be scaled down by log2(numTaps) bits. + * The 2.30 accumulator is then truncated to 2.15 format and saturated to yield the 1.15 result. + * + * \par + * Refer to the function arm_fir_q15() for a slower implementation of this function which uses 64-bit accumulation to avoid wrap around distortion. Both the slow and the fast versions use the same instance structure. + * Use the function arm_fir_init_q15() to initialize the filter structure. + */ + +void arm_fir_fast_q15( + const arm_fir_instance_q15 * S, + q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize) +{ + q15_t *pState = S->pState; /* State pointer */ + q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + q15_t *pStateCurnt; /* Points to the current sample of the state */ + q31_t acc0, acc1, acc2, acc3; /* Accumulators */ + q15_t *pb; /* Temporary pointer for coefficient buffer */ + q15_t *px; /* Temporary q31 pointer for SIMD state buffer accesses */ + q31_t x0, x1, x2, c0; /* Temporary variables to hold SIMD state and coefficient values */ + uint32_t numTaps = S->numTaps; /* Number of taps in the filter */ + uint32_t tapCnt, blkCnt; /* Loop counters */ + + + /* S->pState points to state array which contains previous frame (numTaps - 1) samples */ + /* pStateCurnt points to the location where the new input data should be written */ + pStateCurnt = &(S->pState[(numTaps - 1U)]); + + /* Apply loop unrolling and compute 4 output values simultaneously. + * The variables acc0 ... acc3 hold output values that are being computed: + * + * acc0 = b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0] + * acc1 = b[numTaps-1] * x[n-numTaps] + b[numTaps-2] * x[n-numTaps-1] + b[numTaps-3] * x[n-numTaps-2] +...+ b[0] * x[1] + * acc2 = b[numTaps-1] * x[n-numTaps+1] + b[numTaps-2] * x[n-numTaps] + b[numTaps-3] * x[n-numTaps-1] +...+ b[0] * x[2] + * acc3 = b[numTaps-1] * x[n-numTaps+2] + b[numTaps-2] * x[n-numTaps+1] + b[numTaps-3] * x[n-numTaps] +...+ b[0] * x[3] + */ + + blkCnt = blockSize >> 2; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* Copy four new input samples into the state buffer. + ** Use 32-bit SIMD to move the 16-bit data. Only requires two copies. */ + *pStateCurnt++ = *pSrc++; + *pStateCurnt++ = *pSrc++; + *pStateCurnt++ = *pSrc++; + *pStateCurnt++ = *pSrc++; + + + /* Set all accumulators to zero */ + acc0 = 0; + acc1 = 0; + acc2 = 0; + acc3 = 0; + + /* Typecast q15_t pointer to q31_t pointer for state reading in q31_t */ + px = pState; + + /* Typecast q15_t pointer to q31_t pointer for coefficient reading in q31_t */ + pb = pCoeffs; + + /* Read the first two samples from the state buffer: x[n-N], x[n-N-1] */ + x0 = *__SIMD32(px)++; + + /* Read the third and forth samples from the state buffer: x[n-N-2], x[n-N-3] */ + x2 = *__SIMD32(px)++; + + /* Loop over the number of taps. Unroll by a factor of 4. + ** Repeat until we've computed numTaps-(numTaps%4) coefficients. */ + tapCnt = numTaps >> 2; + + while (tapCnt > 0) + { + /* Read the first two coefficients using SIMD: b[N] and b[N-1] coefficients */ + c0 = *__SIMD32(pb)++; + + /* acc0 += b[N] * x[n-N] + b[N-1] * x[n-N-1] */ + acc0 = __SMLAD(x0, c0, acc0); + + /* acc2 += b[N] * x[n-N-2] + b[N-1] * x[n-N-3] */ + acc2 = __SMLAD(x2, c0, acc2); + + /* pack x[n-N-1] and x[n-N-2] */ +#ifndef ARM_MATH_BIG_ENDIAN + x1 = __PKHBT(x2, x0, 0); +#else + x1 = __PKHBT(x0, x2, 0); +#endif + + /* Read state x[n-N-4], x[n-N-5] */ + x0 = _SIMD32_OFFSET(px); + + /* acc1 += b[N] * x[n-N-1] + b[N-1] * x[n-N-2] */ + acc1 = __SMLADX(x1, c0, acc1); + + /* pack x[n-N-3] and x[n-N-4] */ +#ifndef ARM_MATH_BIG_ENDIAN + x1 = __PKHBT(x0, x2, 0); +#else + x1 = __PKHBT(x2, x0, 0); +#endif + + /* acc3 += b[N] * x[n-N-3] + b[N-1] * x[n-N-4] */ + acc3 = __SMLADX(x1, c0, acc3); + + /* Read coefficients b[N-2], b[N-3] */ + c0 = *__SIMD32(pb)++; + + /* acc0 += b[N-2] * x[n-N-2] + b[N-3] * x[n-N-3] */ + acc0 = __SMLAD(x2, c0, acc0); + + /* Read state x[n-N-6], x[n-N-7] with offset */ + x2 = _SIMD32_OFFSET(px + 2U); + + /* acc2 += b[N-2] * x[n-N-4] + b[N-3] * x[n-N-5] */ + acc2 = __SMLAD(x0, c0, acc2); + + /* acc1 += b[N-2] * x[n-N-3] + b[N-3] * x[n-N-4] */ + acc1 = __SMLADX(x1, c0, acc1); + + /* pack x[n-N-5] and x[n-N-6] */ +#ifndef ARM_MATH_BIG_ENDIAN + x1 = __PKHBT(x2, x0, 0); +#else + x1 = __PKHBT(x0, x2, 0); +#endif + + /* acc3 += b[N-2] * x[n-N-5] + b[N-3] * x[n-N-6] */ + acc3 = __SMLADX(x1, c0, acc3); + + /* Update state pointer for next state reading */ + px += 4U; + + /* Decrement tap count */ + tapCnt--; + + } + + /* If the filter length is not a multiple of 4, compute the remaining filter taps. + ** This is always be 2 taps since the filter length is even. */ + if ((numTaps & 0x3U) != 0U) + { + + /* Read last two coefficients */ + c0 = *__SIMD32(pb)++; + + /* Perform the multiply-accumulates */ + acc0 = __SMLAD(x0, c0, acc0); + acc2 = __SMLAD(x2, c0, acc2); + + /* pack state variables */ +#ifndef ARM_MATH_BIG_ENDIAN + x1 = __PKHBT(x2, x0, 0); +#else + x1 = __PKHBT(x0, x2, 0); +#endif + + /* Read last state variables */ + x0 = *__SIMD32(px); + + /* Perform the multiply-accumulates */ + acc1 = __SMLADX(x1, c0, acc1); + + /* pack state variables */ +#ifndef ARM_MATH_BIG_ENDIAN + x1 = __PKHBT(x0, x2, 0); +#else + x1 = __PKHBT(x2, x0, 0); +#endif + + /* Perform the multiply-accumulates */ + acc3 = __SMLADX(x1, c0, acc3); + } + + /* The results in the 4 accumulators are in 2.30 format. Convert to 1.15 with saturation. + ** Then store the 4 outputs in the destination buffer. */ + +#ifndef ARM_MATH_BIG_ENDIAN + + *__SIMD32(pDst)++ = + __PKHBT(__SSAT((acc0 >> 15), 16), __SSAT((acc1 >> 15), 16), 16); + + *__SIMD32(pDst)++ = + __PKHBT(__SSAT((acc2 >> 15), 16), __SSAT((acc3 >> 15), 16), 16); + +#else + + *__SIMD32(pDst)++ = + __PKHBT(__SSAT((acc1 >> 15), 16), __SSAT((acc0 >> 15), 16), 16); + + *__SIMD32(pDst)++ = + __PKHBT(__SSAT((acc3 >> 15), 16), __SSAT((acc2 >> 15), 16), 16); + + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* Advance the state pointer by 4 to process the next group of 4 samples */ + pState = pState + 4U; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4U; + while (blkCnt > 0U) + { + /* Copy two samples into state buffer */ + *pStateCurnt++ = *pSrc++; + + /* Set the accumulator to zero */ + acc0 = 0; + + /* Use SIMD to hold states and coefficients */ + px = pState; + pb = pCoeffs; + + tapCnt = numTaps >> 1U; + + do + { + + acc0 += (q31_t) * px++ * *pb++; + acc0 += (q31_t) * px++ * *pb++; + + tapCnt--; + } + while (tapCnt > 0U); + + /* The result is in 2.30 format. Convert to 1.15 with saturation. + ** Then store the output in the destination buffer. */ + *pDst++ = (q15_t) (__SSAT((acc0 >> 15), 16)); + + /* Advance state pointer by 1 for the next sample */ + pState = pState + 1U; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Processing is complete. + ** Now copy the last numTaps - 1 samples to the satrt of the state buffer. + ** This prepares the state buffer for the next function call. */ + + /* Points to the start of the state buffer */ + pStateCurnt = S->pState; + + /* Calculation of count for copying integer writes */ + tapCnt = (numTaps - 1U) >> 2; + + while (tapCnt > 0U) + { + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + + tapCnt--; + + } + + /* Calculation of count for remaining q15_t data */ + tapCnt = (numTaps - 1U) % 0x4U; + + /* copy remaining data */ + while (tapCnt > 0U) + { + *pStateCurnt++ = *pState++; + + /* Decrement the loop counter */ + tapCnt--; + } + +} + +/** + * @} end of FIR group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_fast_q31.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_fast_q31.c new file mode 100644 index 0000000..bd9c686 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_fast_q31.c @@ -0,0 +1,293 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fir_fast_q31.c + * Description: Processing function for the Q31 Fast FIR filter + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupFilters + */ + +/** + * @addtogroup FIR + * @{ + */ + +/** + * @param[in] *S points to an instance of the Q31 structure. + * @param[in] *pSrc points to the block of input data. + * @param[out] *pDst points to the block output data. + * @param[in] blockSize number of samples to process per call. + * @return none. + * + * Scaling and Overflow Behavior: + * + * \par + * This function is optimized for speed at the expense of fixed-point precision and overflow protection. + * The result of each 1.31 x 1.31 multiplication is truncated to 2.30 format. + * These intermediate results are added to a 2.30 accumulator. + * Finally, the accumulator is saturated and converted to a 1.31 result. + * The fast version has the same overflow behavior as the standard version and provides less precision since it discards the low 32 bits of each multiplication result. + * In order to avoid overflows completely the input signal must be scaled down by log2(numTaps) bits. + * + * \par + * Refer to the function arm_fir_q31() for a slower implementation of this function which uses a 64-bit accumulator to provide higher precision. Both the slow and the fast versions use the same instance structure. + * Use the function arm_fir_init_q31() to initialize the filter structure. + */ + +IAR_ONLY_LOW_OPTIMIZATION_ENTER +void arm_fir_fast_q31( + const arm_fir_instance_q31 * S, + q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize) +{ + q31_t *pState = S->pState; /* State pointer */ + q31_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + q31_t *pStateCurnt; /* Points to the current sample of the state */ + q31_t x0, x1, x2, x3; /* Temporary variables to hold state */ + q31_t c0; /* Temporary variable to hold coefficient value */ + q31_t *px; /* Temporary pointer for state */ + q31_t *pb; /* Temporary pointer for coefficient buffer */ + q31_t acc0, acc1, acc2, acc3; /* Accumulators */ + uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */ + uint32_t i, tapCnt, blkCnt; /* Loop counters */ + + /* S->pState points to buffer which contains previous frame (numTaps - 1) samples */ + /* pStateCurnt points to the location where the new input data should be written */ + pStateCurnt = &(S->pState[(numTaps - 1U)]); + + /* Apply loop unrolling and compute 4 output values simultaneously. + * The variables acc0 ... acc3 hold output values that are being computed: + * + * acc0 = b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0] + * acc1 = b[numTaps-1] * x[n-numTaps] + b[numTaps-2] * x[n-numTaps-1] + b[numTaps-3] * x[n-numTaps-2] +...+ b[0] * x[1] + * acc2 = b[numTaps-1] * x[n-numTaps+1] + b[numTaps-2] * x[n-numTaps] + b[numTaps-3] * x[n-numTaps-1] +...+ b[0] * x[2] + * acc3 = b[numTaps-1] * x[n-numTaps+2] + b[numTaps-2] * x[n-numTaps+1] + b[numTaps-3] * x[n-numTaps] +...+ b[0] * x[3] + */ + blkCnt = blockSize >> 2; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* Copy four new input samples into the state buffer */ + *pStateCurnt++ = *pSrc++; + *pStateCurnt++ = *pSrc++; + *pStateCurnt++ = *pSrc++; + *pStateCurnt++ = *pSrc++; + + /* Set all accumulators to zero */ + acc0 = 0; + acc1 = 0; + acc2 = 0; + acc3 = 0; + + /* Initialize state pointer */ + px = pState; + + /* Initialize coefficient pointer */ + pb = pCoeffs; + + /* Read the first three samples from the state buffer: + * x[n-numTaps], x[n-numTaps-1], x[n-numTaps-2] */ + x0 = *(px++); + x1 = *(px++); + x2 = *(px++); + + /* Loop unrolling. Process 4 taps at a time. */ + tapCnt = numTaps >> 2; + i = tapCnt; + + while (i > 0U) + { + /* Read the b[numTaps] coefficient */ + c0 = *pb; + + /* Read x[n-numTaps-3] sample */ + x3 = *px; + + /* acc0 += b[numTaps] * x[n-numTaps] */ + multAcc_32x32_keep32_R(acc0, x0, c0); + + /* acc1 += b[numTaps] * x[n-numTaps-1] */ + multAcc_32x32_keep32_R(acc1, x1, c0); + + /* acc2 += b[numTaps] * x[n-numTaps-2] */ + multAcc_32x32_keep32_R(acc2, x2, c0); + + /* acc3 += b[numTaps] * x[n-numTaps-3] */ + multAcc_32x32_keep32_R(acc3, x3, c0); + + /* Read the b[numTaps-1] coefficient */ + c0 = *(pb + 1U); + + /* Read x[n-numTaps-4] sample */ + x0 = *(px + 1U); + + /* Perform the multiply-accumulates */ + multAcc_32x32_keep32_R(acc0, x1, c0); + multAcc_32x32_keep32_R(acc1, x2, c0); + multAcc_32x32_keep32_R(acc2, x3, c0); + multAcc_32x32_keep32_R(acc3, x0, c0); + + /* Read the b[numTaps-2] coefficient */ + c0 = *(pb + 2U); + + /* Read x[n-numTaps-5] sample */ + x1 = *(px + 2U); + + /* Perform the multiply-accumulates */ + multAcc_32x32_keep32_R(acc0, x2, c0); + multAcc_32x32_keep32_R(acc1, x3, c0); + multAcc_32x32_keep32_R(acc2, x0, c0); + multAcc_32x32_keep32_R(acc3, x1, c0); + + /* Read the b[numTaps-3] coefficients */ + c0 = *(pb + 3U); + + /* Read x[n-numTaps-6] sample */ + x2 = *(px + 3U); + + /* Perform the multiply-accumulates */ + multAcc_32x32_keep32_R(acc0, x3, c0); + multAcc_32x32_keep32_R(acc1, x0, c0); + multAcc_32x32_keep32_R(acc2, x1, c0); + multAcc_32x32_keep32_R(acc3, x2, c0); + + /* update coefficient pointer */ + pb += 4U; + px += 4U; + + /* Decrement the loop counter */ + i--; + } + + /* If the filter length is not a multiple of 4, compute the remaining filter taps */ + + i = numTaps - (tapCnt * 4U); + while (i > 0U) + { + /* Read coefficients */ + c0 = *(pb++); + + /* Fetch 1 state variable */ + x3 = *(px++); + + /* Perform the multiply-accumulates */ + multAcc_32x32_keep32_R(acc0, x0, c0); + multAcc_32x32_keep32_R(acc1, x1, c0); + multAcc_32x32_keep32_R(acc2, x2, c0); + multAcc_32x32_keep32_R(acc3, x3, c0); + + /* Reuse the present sample states for next sample */ + x0 = x1; + x1 = x2; + x2 = x3; + + /* Decrement the loop counter */ + i--; + } + + /* Advance the state pointer by 4 to process the next group of 4 samples */ + pState = pState + 4; + + /* The results in the 4 accumulators are in 2.30 format. Convert to 1.31 + ** Then store the 4 outputs in the destination buffer. */ + *pDst++ = (q31_t) (acc0 << 1); + *pDst++ = (q31_t) (acc1 << 1); + *pDst++ = (q31_t) (acc2 << 1); + *pDst++ = (q31_t) (acc3 << 1); + + /* Decrement the samples loop counter */ + blkCnt--; + } + + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 4U; + + while (blkCnt > 0U) + { + /* Copy one sample at a time into state buffer */ + *pStateCurnt++ = *pSrc++; + + /* Set the accumulator to zero */ + acc0 = 0; + + /* Initialize state pointer */ + px = pState; + + /* Initialize Coefficient pointer */ + pb = (pCoeffs); + + i = numTaps; + + /* Perform the multiply-accumulates */ + do + { + multAcc_32x32_keep32_R(acc0, (*px++), (*(pb++))); + i--; + } while (i > 0U); + + /* The result is in 2.30 format. Convert to 1.31 + ** Then store the output in the destination buffer. */ + *pDst++ = (q31_t) (acc0 << 1); + + /* Advance state pointer by 1 for the next sample */ + pState = pState + 1; + + /* Decrement the samples loop counter */ + blkCnt--; + } + + /* Processing is complete. + ** Now copy the last numTaps - 1 samples to the start of the state buffer. + ** This prepares the state buffer for the next function call. */ + + /* Points to the start of the state buffer */ + pStateCurnt = S->pState; + + /* Calculate remaining number of copies */ + tapCnt = (numTaps - 1U); + + /* Copy the remaining q31_t data */ + while (tapCnt > 0U) + { + *pStateCurnt++ = *pState++; + + /* Decrement the loop counter */ + tapCnt--; + } + + +} +IAR_ONLY_LOW_OPTIMIZATION_EXIT +/** + * @} end of FIR group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_init_f32.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_init_f32.c new file mode 100644 index 0000000..25fcb01 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_init_f32.c @@ -0,0 +1,84 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fir_init_f32.c + * Description: Floating-point FIR filter initialization function + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupFilters + */ + +/** + * @addtogroup FIR + * @{ + */ + +/** + * @details + * + * @param[in,out] *S points to an instance of the floating-point FIR filter structure. + * @param[in] numTaps Number of filter coefficients in the filter. + * @param[in] *pCoeffs points to the filter coefficients buffer. + * @param[in] *pState points to the state buffer. + * @param[in] blockSize number of samples that are processed per call. + * @return none. + * + * Description: + * \par + * pCoeffs points to the array of filter coefficients stored in time reversed order: + *
+ *    {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+ * 
+ * \par + * pState points to the array of state variables. + * pState is of length numTaps+blockSize-1 samples, where blockSize is the number of input samples processed by each call to arm_fir_f32(). + */ + +void arm_fir_init_f32( + arm_fir_instance_f32 * S, + uint16_t numTaps, + float32_t * pCoeffs, + float32_t * pState, + uint32_t blockSize) +{ + /* Assign filter taps */ + S->numTaps = numTaps; + + /* Assign coefficient pointer */ + S->pCoeffs = pCoeffs; + + /* Clear state buffer and the size of state buffer is (blockSize + numTaps - 1) */ + memset(pState, 0, (numTaps + (blockSize - 1U)) * sizeof(float32_t)); + + /* Assign state pointer */ + S->pState = pState; + +} + +/** + * @} end of FIR group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_init_q15.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_init_q15.c new file mode 100644 index 0000000..a5638d5 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_init_q15.c @@ -0,0 +1,142 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fir_init_q15.c + * Description: Q15 FIR filter initialization function + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupFilters + */ + +/** + * @addtogroup FIR + * @{ + */ + +/** + * @param[in,out] *S points to an instance of the Q15 FIR filter structure. + * @param[in] numTaps Number of filter coefficients in the filter. Must be even and greater than or equal to 4. + * @param[in] *pCoeffs points to the filter coefficients buffer. + * @param[in] *pState points to the state buffer. + * @param[in] blockSize is number of samples processed per call. + * @return The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if + * numTaps is not greater than or equal to 4 and even. + * + * Description: + * \par + * pCoeffs points to the array of filter coefficients stored in time reversed order: + *
+ *    {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+ * 
+ * Note that numTaps must be even and greater than or equal to 4. + * To implement an odd length filter simply increase numTaps by 1 and set the last coefficient to zero. + * For example, to implement a filter with numTaps=3 and coefficients + *
+ *     {0.3, -0.8, 0.3}
+ * 
+ * set numTaps=4 and use the coefficients: + *
+ *     {0.3, -0.8, 0.3, 0}.
+ * 
+ * Similarly, to implement a two point filter + *
+ *     {0.3, -0.3}
+ * 
+ * set numTaps=4 and use the coefficients: + *
+ *     {0.3, -0.3, 0, 0}.
+ * 
+ * \par + * pState points to the array of state variables. + * pState is of length numTaps+blockSize, when running on Cortex-M4 and Cortex-M3 and is of length numTaps+blockSize-1, when running on Cortex-M0 where blockSize is the number of input samples processed by each call to arm_fir_q15(). + */ + +arm_status arm_fir_init_q15( + arm_fir_instance_q15 * S, + uint16_t numTaps, + q15_t * pCoeffs, + q15_t * pState, + uint32_t blockSize) +{ + arm_status status; + + +#if defined (ARM_MATH_DSP) + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + /* The Number of filter coefficients in the filter must be even and at least 4 */ + if (numTaps & 0x1U) + { + status = ARM_MATH_ARGUMENT_ERROR; + } + else + { + /* Assign filter taps */ + S->numTaps = numTaps; + + /* Assign coefficient pointer */ + S->pCoeffs = pCoeffs; + + /* Clear the state buffer. The size is always (blockSize + numTaps ) */ + memset(pState, 0, (numTaps + (blockSize)) * sizeof(q15_t)); + + /* Assign state pointer */ + S->pState = pState; + + status = ARM_MATH_SUCCESS; + } + + return (status); + +#else + + /* Run the below code for Cortex-M0 */ + + /* Assign filter taps */ + S->numTaps = numTaps; + + /* Assign coefficient pointer */ + S->pCoeffs = pCoeffs; + + /* Clear the state buffer. The size is always (blockSize + numTaps - 1) */ + memset(pState, 0, (numTaps + (blockSize - 1U)) * sizeof(q15_t)); + + /* Assign state pointer */ + S->pState = pState; + + status = ARM_MATH_SUCCESS; + + return (status); + +#endif /* #if defined (ARM_MATH_DSP) */ + +} + +/** + * @} end of FIR group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_init_q31.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_init_q31.c new file mode 100644 index 0000000..2367a65 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_init_q31.c @@ -0,0 +1,84 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fir_init_q31.c + * Description: Q31 FIR filter initialization function. + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupFilters + */ + +/** + * @addtogroup FIR + * @{ + */ + +/** + * @details + * + * @param[in,out] *S points to an instance of the Q31 FIR filter structure. + * @param[in] numTaps Number of filter coefficients in the filter. + * @param[in] *pCoeffs points to the filter coefficients buffer. + * @param[in] *pState points to the state buffer. + * @param[in] blockSize number of samples that are processed per call. + * @return none. + * + * Description: + * \par + * pCoeffs points to the array of filter coefficients stored in time reversed order: + *
+ *    {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+ * 
+ * \par + * pState points to the array of state variables. + * pState is of length numTaps+blockSize-1 samples, where blockSize is the number of input samples processed by each call to arm_fir_q31(). + */ + +void arm_fir_init_q31( + arm_fir_instance_q31 * S, + uint16_t numTaps, + q31_t * pCoeffs, + q31_t * pState, + uint32_t blockSize) +{ + /* Assign filter taps */ + S->numTaps = numTaps; + + /* Assign coefficient pointer */ + S->pCoeffs = pCoeffs; + + /* Clear state buffer and state array size is (blockSize + numTaps - 1) */ + memset(pState, 0, (blockSize + ((uint32_t) numTaps - 1U)) * sizeof(q31_t)); + + /* Assign state pointer */ + S->pState = pState; + +} + +/** + * @} end of FIR group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_init_q7.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_init_q7.c new file mode 100644 index 0000000..5a91fb8 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_init_q7.c @@ -0,0 +1,82 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fir_init_q7.c + * Description: Q7 FIR filter initialization function + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupFilters + */ + +/** + * @addtogroup FIR + * @{ + */ +/** + * @param[in,out] *S points to an instance of the Q7 FIR filter structure. + * @param[in] numTaps Number of filter coefficients in the filter. + * @param[in] *pCoeffs points to the filter coefficients buffer. + * @param[in] *pState points to the state buffer. + * @param[in] blockSize number of samples that are processed per call. + * @return none + * + * Description: + * \par + * pCoeffs points to the array of filter coefficients stored in time reversed order: + *
+ *    {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+ * 
+ * \par + * pState points to the array of state variables. + * pState is of length numTaps+blockSize-1 samples, where blockSize is the number of input samples processed by each call to arm_fir_q7(). + */ + +void arm_fir_init_q7( + arm_fir_instance_q7 * S, + uint16_t numTaps, + q7_t * pCoeffs, + q7_t * pState, + uint32_t blockSize) +{ + + /* Assign filter taps */ + S->numTaps = numTaps; + + /* Assign coefficient pointer */ + S->pCoeffs = pCoeffs; + + /* Clear the state buffer. The size is always (blockSize + numTaps - 1) */ + memset(pState, 0, (numTaps + (blockSize - 1U)) * sizeof(q7_t)); + + /* Assign state pointer */ + S->pState = pState; + +} + +/** + * @} end of FIR group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_f32.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_f32.c new file mode 100644 index 0000000..5f9d19c --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_f32.c @@ -0,0 +1,569 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fir_interpolate_f32.c + * Description: Floating-point FIR interpolation sequences + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @defgroup FIR_Interpolate Finite Impulse Response (FIR) Interpolator + * + * These functions combine an upsampler (zero stuffer) and an FIR filter. + * They are used in multirate systems for increasing the sample rate of a signal without introducing high frequency images. + * Conceptually, the functions are equivalent to the block diagram below: + * \image html FIRInterpolator.gif "Components included in the FIR Interpolator functions" + * After upsampling by a factor of L, the signal should be filtered by a lowpass filter with a normalized + * cutoff frequency of 1/L in order to eliminate high frequency copies of the spectrum. + * The user of the function is responsible for providing the filter coefficients. + * + * The FIR interpolator functions provided in the CMSIS DSP Library combine the upsampler and FIR filter in an efficient manner. + * The upsampler inserts L-1 zeros between each sample. + * Instead of multiplying by these zero values, the FIR filter is designed to skip them. + * This leads to an efficient implementation without any wasted effort. + * The functions operate on blocks of input and output data. + * pSrc points to an array of blockSize input values and + * pDst points to an array of blockSize*L output values. + * + * The library provides separate functions for Q15, Q31, and floating-point data types. + * + * \par Algorithm: + * The functions use a polyphase filter structure: + *
+ *    y[n] = b[0] * x[n] + b[L]   * x[n-1] + ... + b[L*(phaseLength-1)] * x[n-phaseLength+1]
+ *    y[n+1] = b[1] * x[n] + b[L+1] * x[n-1] + ... + b[L*(phaseLength-1)+1] * x[n-phaseLength+1]
+ *    ...
+ *    y[n+(L-1)] = b[L-1] * x[n] + b[2*L-1] * x[n-1] + ....+ b[L*(phaseLength-1)+(L-1)] * x[n-phaseLength+1]
+ * 
+ * This approach is more efficient than straightforward upsample-then-filter algorithms. + * With this method the computation is reduced by a factor of 1/L when compared to using a standard FIR filter. + * \par + * pCoeffs points to a coefficient array of size numTaps. + * numTaps must be a multiple of the interpolation factor L and this is checked by the + * initialization functions. + * Internally, the function divides the FIR filter's impulse response into shorter filters of length + * phaseLength=numTaps/L. + * Coefficients are stored in time reversed order. + * \par + *
+ *    {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+ * 
+ * \par + * pState points to a state array of size blockSize + phaseLength - 1. + * Samples in the state buffer are stored in the order: + * \par + *
+ *    {x[n-phaseLength+1], x[n-phaseLength], x[n-phaseLength-1], x[n-phaseLength-2]....x[0], x[1], ..., x[blockSize-1]}
+ * 
+ * The state variables are updated after each block of data is processed, the coefficients are untouched. + * + * \par Instance Structure + * The coefficients and state variables for a filter are stored together in an instance data structure. + * A separate instance structure must be defined for each filter. + * Coefficient arrays may be shared among several instances while state variable array should be allocated separately. + * There are separate instance structure declarations for each of the 3 supported data types. + * + * \par Initialization Functions + * There is also an associated initialization function for each data type. + * The initialization function performs the following operations: + * - Sets the values of the internal structure fields. + * - Zeros out the values in the state buffer. + * - Checks to make sure that the length of the filter is a multiple of the interpolation factor. + * To do this manually without calling the init function, assign the follow subfields of the instance structure: + * L (interpolation factor), pCoeffs, phaseLength (numTaps / L), pState. Also set all of the values in pState to zero. + * + * \par + * Use of the initialization function is optional. + * However, if the initialization function is used, then the instance structure cannot be placed into a const data section. + * To place an instance structure into a const data section, the instance structure must be manually initialized. + * The code below statically initializes each of the 3 different data type filter instance structures + *
+ * arm_fir_interpolate_instance_f32 S = {L, phaseLength, pCoeffs, pState};
+ * arm_fir_interpolate_instance_q31 S = {L, phaseLength, pCoeffs, pState};
+ * arm_fir_interpolate_instance_q15 S = {L, phaseLength, pCoeffs, pState};
+ * 
+ * where L is the interpolation factor; phaseLength=numTaps/L is the + * length of each of the shorter FIR filters used internally, + * pCoeffs is the address of the coefficient buffer; + * pState is the address of the state buffer. + * Be sure to set the values in the state buffer to zeros when doing static initialization. + * + * \par Fixed-Point Behavior + * Care must be taken when using the fixed-point versions of the FIR interpolate filter functions. + * In particular, the overflow and saturation behavior of the accumulator used in each function must be considered. + * Refer to the function specific documentation below for usage guidelines. + */ + +/** + * @addtogroup FIR_Interpolate + * @{ + */ + +/** + * @brief Processing function for the floating-point FIR interpolator. + * @param[in] *S points to an instance of the floating-point FIR interpolator structure. + * @param[in] *pSrc points to the block of input data. + * @param[out] *pDst points to the block of output data. + * @param[in] blockSize number of input samples to process per call. + * @return none. + */ +#if defined (ARM_MATH_DSP) + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + +void arm_fir_interpolate_f32( + const arm_fir_interpolate_instance_f32 * S, + float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize) +{ + float32_t *pState = S->pState; /* State pointer */ + float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + float32_t *pStateCurnt; /* Points to the current sample of the state */ + float32_t *ptr1, *ptr2; /* Temporary pointers for state and coefficient buffers */ + float32_t sum0; /* Accumulators */ + float32_t x0, c0; /* Temporary variables to hold state and coefficient values */ + uint32_t i, blkCnt, j; /* Loop counters */ + uint16_t phaseLen = S->phaseLength, tapCnt; /* Length of each polyphase filter component */ + float32_t acc0, acc1, acc2, acc3; + float32_t x1, x2, x3; + uint32_t blkCntN4; + float32_t c1, c2, c3; + + /* S->pState buffer contains previous frame (phaseLen - 1) samples */ + /* pStateCurnt points to the location where the new input data should be written */ + pStateCurnt = S->pState + (phaseLen - 1U); + + /* Initialise blkCnt */ + blkCnt = blockSize / 4; + blkCntN4 = blockSize - (4 * blkCnt); + + /* Samples loop unrolled by 4 */ + while (blkCnt > 0U) + { + /* Copy new input sample into the state buffer */ + *pStateCurnt++ = *pSrc++; + *pStateCurnt++ = *pSrc++; + *pStateCurnt++ = *pSrc++; + *pStateCurnt++ = *pSrc++; + + /* Address modifier index of coefficient buffer */ + j = 1U; + + /* Loop over the Interpolation factor. */ + i = (S->L); + + while (i > 0U) + { + /* Set accumulator to zero */ + acc0 = 0.0f; + acc1 = 0.0f; + acc2 = 0.0f; + acc3 = 0.0f; + + /* Initialize state pointer */ + ptr1 = pState; + + /* Initialize coefficient pointer */ + ptr2 = pCoeffs + (S->L - j); + + /* Loop over the polyPhase length. Unroll by a factor of 4. + ** Repeat until we've computed numTaps-(4*S->L) coefficients. */ + tapCnt = phaseLen >> 2U; + + x0 = *(ptr1++); + x1 = *(ptr1++); + x2 = *(ptr1++); + + while (tapCnt > 0U) + { + + /* Read the input sample */ + x3 = *(ptr1++); + + /* Read the coefficient */ + c0 = *(ptr2); + + /* Perform the multiply-accumulate */ + acc0 += x0 * c0; + acc1 += x1 * c0; + acc2 += x2 * c0; + acc3 += x3 * c0; + + /* Read the coefficient */ + c1 = *(ptr2 + S->L); + + /* Read the input sample */ + x0 = *(ptr1++); + + /* Perform the multiply-accumulate */ + acc0 += x1 * c1; + acc1 += x2 * c1; + acc2 += x3 * c1; + acc3 += x0 * c1; + + /* Read the coefficient */ + c2 = *(ptr2 + S->L * 2); + + /* Read the input sample */ + x1 = *(ptr1++); + + /* Perform the multiply-accumulate */ + acc0 += x2 * c2; + acc1 += x3 * c2; + acc2 += x0 * c2; + acc3 += x1 * c2; + + /* Read the coefficient */ + c3 = *(ptr2 + S->L * 3); + + /* Read the input sample */ + x2 = *(ptr1++); + + /* Perform the multiply-accumulate */ + acc0 += x3 * c3; + acc1 += x0 * c3; + acc2 += x1 * c3; + acc3 += x2 * c3; + + + /* Upsampling is done by stuffing L-1 zeros between each sample. + * So instead of multiplying zeros with coefficients, + * Increment the coefficient pointer by interpolation factor times. */ + ptr2 += 4 * S->L; + + /* Decrement the loop counter */ + tapCnt--; + } + + /* If the polyPhase length is not a multiple of 4, compute the remaining filter taps */ + tapCnt = phaseLen % 0x4U; + + while (tapCnt > 0U) + { + + /* Read the input sample */ + x3 = *(ptr1++); + + /* Read the coefficient */ + c0 = *(ptr2); + + /* Perform the multiply-accumulate */ + acc0 += x0 * c0; + acc1 += x1 * c0; + acc2 += x2 * c0; + acc3 += x3 * c0; + + /* Increment the coefficient pointer by interpolation factor times. */ + ptr2 += S->L; + + /* update states for next sample processing */ + x0 = x1; + x1 = x2; + x2 = x3; + + /* Decrement the loop counter */ + tapCnt--; + } + + /* The result is in the accumulator, store in the destination buffer. */ + *pDst = acc0; + *(pDst + S->L) = acc1; + *(pDst + 2 * S->L) = acc2; + *(pDst + 3 * S->L) = acc3; + + pDst++; + + /* Increment the address modifier index of coefficient buffer */ + j++; + + /* Decrement the loop counter */ + i--; + } + + /* Advance the state pointer by 1 + * to process the next group of interpolation factor number samples */ + pState = pState + 4; + + pDst += S->L * 3; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + + while (blkCntN4 > 0U) + { + /* Copy new input sample into the state buffer */ + *pStateCurnt++ = *pSrc++; + + /* Address modifier index of coefficient buffer */ + j = 1U; + + /* Loop over the Interpolation factor. */ + i = S->L; + while (i > 0U) + { + /* Set accumulator to zero */ + sum0 = 0.0f; + + /* Initialize state pointer */ + ptr1 = pState; + + /* Initialize coefficient pointer */ + ptr2 = pCoeffs + (S->L - j); + + /* Loop over the polyPhase length. Unroll by a factor of 4. + ** Repeat until we've computed numTaps-(4*S->L) coefficients. */ + tapCnt = phaseLen >> 2U; + while (tapCnt > 0U) + { + + /* Read the coefficient */ + c0 = *(ptr2); + + /* Upsampling is done by stuffing L-1 zeros between each sample. + * So instead of multiplying zeros with coefficients, + * Increment the coefficient pointer by interpolation factor times. */ + ptr2 += S->L; + + /* Read the input sample */ + x0 = *(ptr1++); + + /* Perform the multiply-accumulate */ + sum0 += x0 * c0; + + /* Read the coefficient */ + c0 = *(ptr2); + + /* Increment the coefficient pointer by interpolation factor times. */ + ptr2 += S->L; + + /* Read the input sample */ + x0 = *(ptr1++); + + /* Perform the multiply-accumulate */ + sum0 += x0 * c0; + + /* Read the coefficient */ + c0 = *(ptr2); + + /* Increment the coefficient pointer by interpolation factor times. */ + ptr2 += S->L; + + /* Read the input sample */ + x0 = *(ptr1++); + + /* Perform the multiply-accumulate */ + sum0 += x0 * c0; + + /* Read the coefficient */ + c0 = *(ptr2); + + /* Increment the coefficient pointer by interpolation factor times. */ + ptr2 += S->L; + + /* Read the input sample */ + x0 = *(ptr1++); + + /* Perform the multiply-accumulate */ + sum0 += x0 * c0; + + /* Decrement the loop counter */ + tapCnt--; + } + + /* If the polyPhase length is not a multiple of 4, compute the remaining filter taps */ + tapCnt = phaseLen % 0x4U; + + while (tapCnt > 0U) + { + /* Perform the multiply-accumulate */ + sum0 += *(ptr1++) * (*ptr2); + + /* Increment the coefficient pointer by interpolation factor times. */ + ptr2 += S->L; + + /* Decrement the loop counter */ + tapCnt--; + } + + /* The result is in the accumulator, store in the destination buffer. */ + *pDst++ = sum0; + + /* Increment the address modifier index of coefficient buffer */ + j++; + + /* Decrement the loop counter */ + i--; + } + + /* Advance the state pointer by 1 + * to process the next group of interpolation factor number samples */ + pState = pState + 1; + + /* Decrement the loop counter */ + blkCntN4--; + } + + /* Processing is complete. + ** Now copy the last phaseLen - 1 samples to the satrt of the state buffer. + ** This prepares the state buffer for the next function call. */ + + /* Points to the start of the state buffer */ + pStateCurnt = S->pState; + + tapCnt = (phaseLen - 1U) >> 2U; + + /* copy data */ + while (tapCnt > 0U) + { + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + + /* Decrement the loop counter */ + tapCnt--; + } + + tapCnt = (phaseLen - 1U) % 0x04U; + + /* copy data */ + while (tapCnt > 0U) + { + *pStateCurnt++ = *pState++; + + /* Decrement the loop counter */ + tapCnt--; + } +} + +#else + + /* Run the below code for Cortex-M0 */ + +void arm_fir_interpolate_f32( + const arm_fir_interpolate_instance_f32 * S, + float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize) +{ + float32_t *pState = S->pState; /* State pointer */ + float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + float32_t *pStateCurnt; /* Points to the current sample of the state */ + float32_t *ptr1, *ptr2; /* Temporary pointers for state and coefficient buffers */ + + + float32_t sum; /* Accumulator */ + uint32_t i, blkCnt; /* Loop counters */ + uint16_t phaseLen = S->phaseLength, tapCnt; /* Length of each polyphase filter component */ + + + /* S->pState buffer contains previous frame (phaseLen - 1) samples */ + /* pStateCurnt points to the location where the new input data should be written */ + pStateCurnt = S->pState + (phaseLen - 1U); + + /* Total number of intput samples */ + blkCnt = blockSize; + + /* Loop over the blockSize. */ + while (blkCnt > 0U) + { + /* Copy new input sample into the state buffer */ + *pStateCurnt++ = *pSrc++; + + /* Loop over the Interpolation factor. */ + i = S->L; + + while (i > 0U) + { + /* Set accumulator to zero */ + sum = 0.0f; + + /* Initialize state pointer */ + ptr1 = pState; + + /* Initialize coefficient pointer */ + ptr2 = pCoeffs + (i - 1U); + + /* Loop over the polyPhase length */ + tapCnt = phaseLen; + + while (tapCnt > 0U) + { + /* Perform the multiply-accumulate */ + sum += *ptr1++ * *ptr2; + + /* Increment the coefficient pointer by interpolation factor times. */ + ptr2 += S->L; + + /* Decrement the loop counter */ + tapCnt--; + } + + /* The result is in the accumulator, store in the destination buffer. */ + *pDst++ = sum; + + /* Decrement the loop counter */ + i--; + } + + /* Advance the state pointer by 1 + * to process the next group of interpolation factor number samples */ + pState = pState + 1; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Processing is complete. + ** Now copy the last phaseLen - 1 samples to the start of the state buffer. + ** This prepares the state buffer for the next function call. */ + + /* Points to the start of the state buffer */ + pStateCurnt = S->pState; + + tapCnt = phaseLen - 1U; + + while (tapCnt > 0U) + { + *pStateCurnt++ = *pState++; + + /* Decrement the loop counter */ + tapCnt--; + } + +} + +#endif /* #if defined (ARM_MATH_DSP) */ + + + + /** + * @} end of FIR_Interpolate group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_init_f32.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_init_f32.c new file mode 100644 index 0000000..415c8da --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_init_f32.c @@ -0,0 +1,109 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fir_interpolate_init_f32.c + * Description: Floating-point FIR interpolator initialization function + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupFilters + */ + +/** + * @addtogroup FIR_Interpolate + * @{ + */ + +/** + * @brief Initialization function for the floating-point FIR interpolator. + * @param[in,out] *S points to an instance of the floating-point FIR interpolator structure. + * @param[in] L upsample factor. + * @param[in] numTaps number of filter coefficients in the filter. + * @param[in] *pCoeffs points to the filter coefficient buffer. + * @param[in] *pState points to the state buffer. + * @param[in] blockSize number of input samples to process per call. + * @return The function returns ARM_MATH_SUCCESS if initialization was successful or ARM_MATH_LENGTH_ERROR if + * the filter length numTaps is not a multiple of the interpolation factor L. + * + * Description: + * \par + * pCoeffs points to the array of filter coefficients stored in time reversed order: + *
+ *    {b[numTaps-1], b[numTaps-2], b[numTaps-2], ..., b[1], b[0]}
+ * 
+ * The length of the filter numTaps must be a multiple of the interpolation factor L. + * \par + * pState points to the array of state variables. + * pState is of length (numTaps/L)+blockSize-1 words + * where blockSize is the number of input samples processed by each call to arm_fir_interpolate_f32(). + */ + +arm_status arm_fir_interpolate_init_f32( + arm_fir_interpolate_instance_f32 * S, + uint8_t L, + uint16_t numTaps, + float32_t * pCoeffs, + float32_t * pState, + uint32_t blockSize) +{ + arm_status status; + + /* The filter length must be a multiple of the interpolation factor */ + if ((numTaps % L) != 0U) + { + /* Set status as ARM_MATH_LENGTH_ERROR */ + status = ARM_MATH_LENGTH_ERROR; + } + else + { + + /* Assign coefficient pointer */ + S->pCoeffs = pCoeffs; + + /* Assign Interpolation factor */ + S->L = L; + + /* Assign polyPhaseLength */ + S->phaseLength = numTaps / L; + + /* Clear state buffer and size of state array is always phaseLength + blockSize - 1 */ + memset(pState, 0, + (blockSize + + ((uint32_t) S->phaseLength - 1U)) * sizeof(float32_t)); + + /* Assign state pointer */ + S->pState = pState; + + status = ARM_MATH_SUCCESS; + } + + return (status); + +} + + /** + * @} end of FIR_Interpolate group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_init_q15.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_init_q15.c new file mode 100644 index 0000000..6dce943 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_init_q15.c @@ -0,0 +1,108 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fir_interpolate_init_q15.c + * Description: Q15 FIR interpolator initialization function + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupFilters + */ + +/** + * @addtogroup FIR_Interpolate + * @{ + */ + +/** + * @brief Initialization function for the Q15 FIR interpolator. + * @param[in,out] *S points to an instance of the Q15 FIR interpolator structure. + * @param[in] L upsample factor. + * @param[in] numTaps number of filter coefficients in the filter. + * @param[in] *pCoeffs points to the filter coefficient buffer. + * @param[in] *pState points to the state buffer. + * @param[in] blockSize number of input samples to process per call. + * @return The function returns ARM_MATH_SUCCESS if initialization was successful or ARM_MATH_LENGTH_ERROR if + * the filter length numTaps is not a multiple of the interpolation factor L. + * + * Description: + * \par + * pCoeffs points to the array of filter coefficients stored in time reversed order: + *
+ *    {b[numTaps-1], b[numTaps-2], b[numTaps-2], ..., b[1], b[0]}
+ * 
+ * The length of the filter numTaps must be a multiple of the interpolation factor L. + * \par + * pState points to the array of state variables. + * pState is of length (numTaps/L)+blockSize-1 words + * where blockSize is the number of input samples processed by each call to arm_fir_interpolate_q15(). + */ + +arm_status arm_fir_interpolate_init_q15( + arm_fir_interpolate_instance_q15 * S, + uint8_t L, + uint16_t numTaps, + q15_t * pCoeffs, + q15_t * pState, + uint32_t blockSize) +{ + arm_status status; + + /* The filter length must be a multiple of the interpolation factor */ + if ((numTaps % L) != 0U) + { + /* Set status as ARM_MATH_LENGTH_ERROR */ + status = ARM_MATH_LENGTH_ERROR; + } + else + { + + /* Assign coefficient pointer */ + S->pCoeffs = pCoeffs; + + /* Assign Interpolation factor */ + S->L = L; + + /* Assign polyPhaseLength */ + S->phaseLength = numTaps / L; + + /* Clear state buffer and size of buffer is always phaseLength + blockSize - 1 */ + memset(pState, 0, + (blockSize + ((uint32_t) S->phaseLength - 1U)) * sizeof(q15_t)); + + /* Assign state pointer */ + S->pState = pState; + + status = ARM_MATH_SUCCESS; + } + + return (status); + +} + + /** + * @} end of FIR_Interpolate group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_init_q31.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_init_q31.c new file mode 100644 index 0000000..9875aa8 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_init_q31.c @@ -0,0 +1,109 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fir_interpolate_init_q31.c + * Description: Q31 FIR interpolator initialization function + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupFilters + */ + +/** + * @addtogroup FIR_Interpolate + * @{ + */ + + +/** + * @brief Initialization function for the Q31 FIR interpolator. + * @param[in,out] *S points to an instance of the Q31 FIR interpolator structure. + * @param[in] L upsample factor. + * @param[in] numTaps number of filter coefficients in the filter. + * @param[in] *pCoeffs points to the filter coefficient buffer. + * @param[in] *pState points to the state buffer. + * @param[in] blockSize number of input samples to process per call. + * @return The function returns ARM_MATH_SUCCESS if initialization was successful or ARM_MATH_LENGTH_ERROR if + * the filter length numTaps is not a multiple of the interpolation factor L. + * + * Description: + * \par + * pCoeffs points to the array of filter coefficients stored in time reversed order: + *
+ *    {b[numTaps-1], b[numTaps-2], b[numTaps-2], ..., b[1], b[0]}
+ * 
+ * The length of the filter numTaps must be a multiple of the interpolation factor L. + * \par + * pState points to the array of state variables. + * pState is of length (numTaps/L)+blockSize-1 words + * where blockSize is the number of input samples processed by each call to arm_fir_interpolate_q31(). + */ + +arm_status arm_fir_interpolate_init_q31( + arm_fir_interpolate_instance_q31 * S, + uint8_t L, + uint16_t numTaps, + q31_t * pCoeffs, + q31_t * pState, + uint32_t blockSize) +{ + arm_status status; + + /* The filter length must be a multiple of the interpolation factor */ + if ((numTaps % L) != 0U) + { + /* Set status as ARM_MATH_LENGTH_ERROR */ + status = ARM_MATH_LENGTH_ERROR; + } + else + { + + /* Assign coefficient pointer */ + S->pCoeffs = pCoeffs; + + /* Assign Interpolation factor */ + S->L = L; + + /* Assign polyPhaseLength */ + S->phaseLength = numTaps / L; + + /* Clear state buffer and size of buffer is always phaseLength + blockSize - 1 */ + memset(pState, 0, + (blockSize + ((uint32_t) S->phaseLength - 1U)) * sizeof(q31_t)); + + /* Assign state pointer */ + S->pState = pState; + + status = ARM_MATH_SUCCESS; + } + + return (status); + +} + + /** + * @} end of FIR_Interpolate group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_q15.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_q15.c new file mode 100644 index 0000000..1cedd25 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_q15.c @@ -0,0 +1,496 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fir_interpolate_q15.c + * Description: Q15 FIR interpolation + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupFilters + */ + +/** + * @addtogroup FIR_Interpolate + * @{ + */ + +/** + * @brief Processing function for the Q15 FIR interpolator. + * @param[in] *S points to an instance of the Q15 FIR interpolator structure. + * @param[in] *pSrc points to the block of input data. + * @param[out] *pDst points to the block of output data. + * @param[in] blockSize number of input samples to process per call. + * @return none. + * + * Scaling and Overflow Behavior: + * \par + * The function is implemented using a 64-bit internal accumulator. + * Both coefficients and state variables are represented in 1.15 format and multiplications yield a 2.30 result. + * The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format. + * There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved. + * After all additions have been performed, the accumulator is truncated to 34.15 format by discarding low 15 bits. + * Lastly, the accumulator is saturated to yield a result in 1.15 format. + */ + +#if defined (ARM_MATH_DSP) + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + +void arm_fir_interpolate_q15( + const arm_fir_interpolate_instance_q15 * S, + q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize) +{ + q15_t *pState = S->pState; /* State pointer */ + q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + q15_t *pStateCurnt; /* Points to the current sample of the state */ + q15_t *ptr1, *ptr2; /* Temporary pointers for state and coefficient buffers */ + q63_t sum0; /* Accumulators */ + q15_t x0, c0; /* Temporary variables to hold state and coefficient values */ + uint32_t i, blkCnt, j, tapCnt; /* Loop counters */ + uint16_t phaseLen = S->phaseLength; /* Length of each polyphase filter component */ + uint32_t blkCntN2; + q63_t acc0, acc1; + q15_t x1; + + /* S->pState buffer contains previous frame (phaseLen - 1) samples */ + /* pStateCurnt points to the location where the new input data should be written */ + pStateCurnt = S->pState + ((q31_t) phaseLen - 1); + + /* Initialise blkCnt */ + blkCnt = blockSize / 2; + blkCntN2 = blockSize - (2 * blkCnt); + + /* Samples loop unrolled by 2 */ + while (blkCnt > 0U) + { + /* Copy new input sample into the state buffer */ + *pStateCurnt++ = *pSrc++; + *pStateCurnt++ = *pSrc++; + + /* Address modifier index of coefficient buffer */ + j = 1U; + + /* Loop over the Interpolation factor. */ + i = (S->L); + + while (i > 0U) + { + /* Set accumulator to zero */ + acc0 = 0; + acc1 = 0; + + /* Initialize state pointer */ + ptr1 = pState; + + /* Initialize coefficient pointer */ + ptr2 = pCoeffs + (S->L - j); + + /* Loop over the polyPhase length. Unroll by a factor of 4. + ** Repeat until we've computed numTaps-(4*S->L) coefficients. */ + tapCnt = phaseLen >> 2U; + + x0 = *(ptr1++); + + while (tapCnt > 0U) + { + + /* Read the input sample */ + x1 = *(ptr1++); + + /* Read the coefficient */ + c0 = *(ptr2); + + /* Perform the multiply-accumulate */ + acc0 += (q63_t) x0 *c0; + acc1 += (q63_t) x1 *c0; + + + /* Read the coefficient */ + c0 = *(ptr2 + S->L); + + /* Read the input sample */ + x0 = *(ptr1++); + + /* Perform the multiply-accumulate */ + acc0 += (q63_t) x1 *c0; + acc1 += (q63_t) x0 *c0; + + + /* Read the coefficient */ + c0 = *(ptr2 + S->L * 2); + + /* Read the input sample */ + x1 = *(ptr1++); + + /* Perform the multiply-accumulate */ + acc0 += (q63_t) x0 *c0; + acc1 += (q63_t) x1 *c0; + + /* Read the coefficient */ + c0 = *(ptr2 + S->L * 3); + + /* Read the input sample */ + x0 = *(ptr1++); + + /* Perform the multiply-accumulate */ + acc0 += (q63_t) x1 *c0; + acc1 += (q63_t) x0 *c0; + + + /* Upsampling is done by stuffing L-1 zeros between each sample. + * So instead of multiplying zeros with coefficients, + * Increment the coefficient pointer by interpolation factor times. */ + ptr2 += 4 * S->L; + + /* Decrement the loop counter */ + tapCnt--; + } + + /* If the polyPhase length is not a multiple of 4, compute the remaining filter taps */ + tapCnt = phaseLen % 0x4U; + + while (tapCnt > 0U) + { + + /* Read the input sample */ + x1 = *(ptr1++); + + /* Read the coefficient */ + c0 = *(ptr2); + + /* Perform the multiply-accumulate */ + acc0 += (q63_t) x0 *c0; + acc1 += (q63_t) x1 *c0; + + /* Increment the coefficient pointer by interpolation factor times. */ + ptr2 += S->L; + + /* update states for next sample processing */ + x0 = x1; + + /* Decrement the loop counter */ + tapCnt--; + } + + /* The result is in the accumulator, store in the destination buffer. */ + *pDst = (q15_t) (__SSAT((acc0 >> 15), 16)); + *(pDst + S->L) = (q15_t) (__SSAT((acc1 >> 15), 16)); + + pDst++; + + /* Increment the address modifier index of coefficient buffer */ + j++; + + /* Decrement the loop counter */ + i--; + } + + /* Advance the state pointer by 1 + * to process the next group of interpolation factor number samples */ + pState = pState + 2; + + pDst += S->L; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 2, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blkCntN2; + + /* Loop over the blockSize. */ + while (blkCnt > 0U) + { + /* Copy new input sample into the state buffer */ + *pStateCurnt++ = *pSrc++; + + /* Address modifier index of coefficient buffer */ + j = 1U; + + /* Loop over the Interpolation factor. */ + i = S->L; + while (i > 0U) + { + /* Set accumulator to zero */ + sum0 = 0; + + /* Initialize state pointer */ + ptr1 = pState; + + /* Initialize coefficient pointer */ + ptr2 = pCoeffs + (S->L - j); + + /* Loop over the polyPhase length. Unroll by a factor of 4. + ** Repeat until we've computed numTaps-(4*S->L) coefficients. */ + tapCnt = phaseLen >> 2; + while (tapCnt > 0U) + { + + /* Read the coefficient */ + c0 = *(ptr2); + + /* Upsampling is done by stuffing L-1 zeros between each sample. + * So instead of multiplying zeros with coefficients, + * Increment the coefficient pointer by interpolation factor times. */ + ptr2 += S->L; + + /* Read the input sample */ + x0 = *(ptr1++); + + /* Perform the multiply-accumulate */ + sum0 += (q63_t) x0 *c0; + + /* Read the coefficient */ + c0 = *(ptr2); + + /* Increment the coefficient pointer by interpolation factor times. */ + ptr2 += S->L; + + /* Read the input sample */ + x0 = *(ptr1++); + + /* Perform the multiply-accumulate */ + sum0 += (q63_t) x0 *c0; + + /* Read the coefficient */ + c0 = *(ptr2); + + /* Increment the coefficient pointer by interpolation factor times. */ + ptr2 += S->L; + + /* Read the input sample */ + x0 = *(ptr1++); + + /* Perform the multiply-accumulate */ + sum0 += (q63_t) x0 *c0; + + /* Read the coefficient */ + c0 = *(ptr2); + + /* Increment the coefficient pointer by interpolation factor times. */ + ptr2 += S->L; + + /* Read the input sample */ + x0 = *(ptr1++); + + /* Perform the multiply-accumulate */ + sum0 += (q63_t) x0 *c0; + + /* Decrement the loop counter */ + tapCnt--; + } + + /* If the polyPhase length is not a multiple of 4, compute the remaining filter taps */ + tapCnt = phaseLen & 0x3U; + + while (tapCnt > 0U) + { + /* Read the coefficient */ + c0 = *(ptr2); + + /* Increment the coefficient pointer by interpolation factor times. */ + ptr2 += S->L; + + /* Read the input sample */ + x0 = *(ptr1++); + + /* Perform the multiply-accumulate */ + sum0 += (q63_t) x0 *c0; + + /* Decrement the loop counter */ + tapCnt--; + } + + /* The result is in the accumulator, store in the destination buffer. */ + *pDst++ = (q15_t) (__SSAT((sum0 >> 15), 16)); + + j++; + + /* Decrement the loop counter */ + i--; + } + + /* Advance the state pointer by 1 + * to process the next group of interpolation factor number samples */ + pState = pState + 1; + + /* Decrement the loop counter */ + blkCnt--; + } + + + /* Processing is complete. + ** Now copy the last phaseLen - 1 samples to the satrt of the state buffer. + ** This prepares the state buffer for the next function call. */ + + /* Points to the start of the state buffer */ + pStateCurnt = S->pState; + + i = ((uint32_t) phaseLen - 1U) >> 2U; + + /* copy data */ + while (i > 0U) + { +#ifndef UNALIGNED_SUPPORT_DISABLE + + *__SIMD32(pStateCurnt)++ = *__SIMD32(pState)++; + *__SIMD32(pStateCurnt)++ = *__SIMD32(pState)++; + +#else + + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + +#endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */ + + /* Decrement the loop counter */ + i--; + } + + i = ((uint32_t) phaseLen - 1U) % 0x04U; + + while (i > 0U) + { + *pStateCurnt++ = *pState++; + + /* Decrement the loop counter */ + i--; + } +} + +#else + + /* Run the below code for Cortex-M0 */ + +void arm_fir_interpolate_q15( + const arm_fir_interpolate_instance_q15 * S, + q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize) +{ + q15_t *pState = S->pState; /* State pointer */ + q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + q15_t *pStateCurnt; /* Points to the current sample of the state */ + q15_t *ptr1, *ptr2; /* Temporary pointers for state and coefficient buffers */ + q63_t sum; /* Accumulator */ + q15_t x0, c0; /* Temporary variables to hold state and coefficient values */ + uint32_t i, blkCnt, tapCnt; /* Loop counters */ + uint16_t phaseLen = S->phaseLength; /* Length of each polyphase filter component */ + + + /* S->pState buffer contains previous frame (phaseLen - 1) samples */ + /* pStateCurnt points to the location where the new input data should be written */ + pStateCurnt = S->pState + (phaseLen - 1U); + + /* Total number of intput samples */ + blkCnt = blockSize; + + /* Loop over the blockSize. */ + while (blkCnt > 0U) + { + /* Copy new input sample into the state buffer */ + *pStateCurnt++ = *pSrc++; + + /* Loop over the Interpolation factor. */ + i = S->L; + + while (i > 0U) + { + /* Set accumulator to zero */ + sum = 0; + + /* Initialize state pointer */ + ptr1 = pState; + + /* Initialize coefficient pointer */ + ptr2 = pCoeffs + (i - 1U); + + /* Loop over the polyPhase length */ + tapCnt = (uint32_t) phaseLen; + + while (tapCnt > 0U) + { + /* Read the coefficient */ + c0 = *ptr2; + + /* Increment the coefficient pointer by interpolation factor times. */ + ptr2 += S->L; + + /* Read the input sample */ + x0 = *ptr1++; + + /* Perform the multiply-accumulate */ + sum += ((q31_t) x0 * c0); + + /* Decrement the loop counter */ + tapCnt--; + } + + /* Store the result after converting to 1.15 format in the destination buffer */ + *pDst++ = (q15_t) (__SSAT((sum >> 15), 16)); + + /* Decrement the loop counter */ + i--; + } + + /* Advance the state pointer by 1 + * to process the next group of interpolation factor number samples */ + pState = pState + 1; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Processing is complete. + ** Now copy the last phaseLen - 1 samples to the start of the state buffer. + ** This prepares the state buffer for the next function call. */ + + /* Points to the start of the state buffer */ + pStateCurnt = S->pState; + + i = (uint32_t) phaseLen - 1U; + + while (i > 0U) + { + *pStateCurnt++ = *pState++; + + /* Decrement the loop counter */ + i--; + } + +} + +#endif /* #if defined (ARM_MATH_DSP) */ + + + /** + * @} end of FIR_Interpolate group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_q31.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_q31.c new file mode 100644 index 0000000..2c0f522 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_q31.c @@ -0,0 +1,492 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fir_interpolate_q31.c + * Description: Q31 FIR interpolation + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupFilters + */ + +/** + * @addtogroup FIR_Interpolate + * @{ + */ + +/** + * @brief Processing function for the Q31 FIR interpolator. + * @param[in] *S points to an instance of the Q31 FIR interpolator structure. + * @param[in] *pSrc points to the block of input data. + * @param[out] *pDst points to the block of output data. + * @param[in] blockSize number of input samples to process per call. + * @return none. + * + * Scaling and Overflow Behavior: + * \par + * The function is implemented using an internal 64-bit accumulator. + * The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit. + * Thus, if the accumulator result overflows it wraps around rather than clip. + * In order to avoid overflows completely the input signal must be scaled down by 1/(numTaps/L). + * since numTaps/L additions occur per output sample. + * After all multiply-accumulates are performed, the 2.62 accumulator is truncated to 1.32 format and then saturated to 1.31 format. + */ + +#if defined (ARM_MATH_DSP) + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + +void arm_fir_interpolate_q31( + const arm_fir_interpolate_instance_q31 * S, + q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize) +{ + q31_t *pState = S->pState; /* State pointer */ + q31_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + q31_t *pStateCurnt; /* Points to the current sample of the state */ + q31_t *ptr1, *ptr2; /* Temporary pointers for state and coefficient buffers */ + q63_t sum0; /* Accumulators */ + q31_t x0, c0; /* Temporary variables to hold state and coefficient values */ + uint32_t i, blkCnt, j; /* Loop counters */ + uint16_t phaseLen = S->phaseLength, tapCnt; /* Length of each polyphase filter component */ + + uint32_t blkCntN2; + q63_t acc0, acc1; + q31_t x1; + + /* S->pState buffer contains previous frame (phaseLen - 1) samples */ + /* pStateCurnt points to the location where the new input data should be written */ + pStateCurnt = S->pState + ((q31_t) phaseLen - 1); + + /* Initialise blkCnt */ + blkCnt = blockSize / 2; + blkCntN2 = blockSize - (2 * blkCnt); + + /* Samples loop unrolled by 2 */ + while (blkCnt > 0U) + { + /* Copy new input sample into the state buffer */ + *pStateCurnt++ = *pSrc++; + *pStateCurnt++ = *pSrc++; + + /* Address modifier index of coefficient buffer */ + j = 1U; + + /* Loop over the Interpolation factor. */ + i = (S->L); + + while (i > 0U) + { + /* Set accumulator to zero */ + acc0 = 0; + acc1 = 0; + + /* Initialize state pointer */ + ptr1 = pState; + + /* Initialize coefficient pointer */ + ptr2 = pCoeffs + (S->L - j); + + /* Loop over the polyPhase length. Unroll by a factor of 4. + ** Repeat until we've computed numTaps-(4*S->L) coefficients. */ + tapCnt = phaseLen >> 2U; + + x0 = *(ptr1++); + + while (tapCnt > 0U) + { + + /* Read the input sample */ + x1 = *(ptr1++); + + /* Read the coefficient */ + c0 = *(ptr2); + + /* Perform the multiply-accumulate */ + acc0 += (q63_t) x0 *c0; + acc1 += (q63_t) x1 *c0; + + + /* Read the coefficient */ + c0 = *(ptr2 + S->L); + + /* Read the input sample */ + x0 = *(ptr1++); + + /* Perform the multiply-accumulate */ + acc0 += (q63_t) x1 *c0; + acc1 += (q63_t) x0 *c0; + + + /* Read the coefficient */ + c0 = *(ptr2 + S->L * 2); + + /* Read the input sample */ + x1 = *(ptr1++); + + /* Perform the multiply-accumulate */ + acc0 += (q63_t) x0 *c0; + acc1 += (q63_t) x1 *c0; + + /* Read the coefficient */ + c0 = *(ptr2 + S->L * 3); + + /* Read the input sample */ + x0 = *(ptr1++); + + /* Perform the multiply-accumulate */ + acc0 += (q63_t) x1 *c0; + acc1 += (q63_t) x0 *c0; + + + /* Upsampling is done by stuffing L-1 zeros between each sample. + * So instead of multiplying zeros with coefficients, + * Increment the coefficient pointer by interpolation factor times. */ + ptr2 += 4 * S->L; + + /* Decrement the loop counter */ + tapCnt--; + } + + /* If the polyPhase length is not a multiple of 4, compute the remaining filter taps */ + tapCnt = phaseLen % 0x4U; + + while (tapCnt > 0U) + { + + /* Read the input sample */ + x1 = *(ptr1++); + + /* Read the coefficient */ + c0 = *(ptr2); + + /* Perform the multiply-accumulate */ + acc0 += (q63_t) x0 *c0; + acc1 += (q63_t) x1 *c0; + + /* Increment the coefficient pointer by interpolation factor times. */ + ptr2 += S->L; + + /* update states for next sample processing */ + x0 = x1; + + /* Decrement the loop counter */ + tapCnt--; + } + + /* The result is in the accumulator, store in the destination buffer. */ + *pDst = (q31_t) (acc0 >> 31); + *(pDst + S->L) = (q31_t) (acc1 >> 31); + + + pDst++; + + /* Increment the address modifier index of coefficient buffer */ + j++; + + /* Decrement the loop counter */ + i--; + } + + /* Advance the state pointer by 1 + * to process the next group of interpolation factor number samples */ + pState = pState + 2; + + pDst += S->L; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 2, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blkCntN2; + + /* Loop over the blockSize. */ + while (blkCnt > 0U) + { + /* Copy new input sample into the state buffer */ + *pStateCurnt++ = *pSrc++; + + /* Address modifier index of coefficient buffer */ + j = 1U; + + /* Loop over the Interpolation factor. */ + i = S->L; + while (i > 0U) + { + /* Set accumulator to zero */ + sum0 = 0; + + /* Initialize state pointer */ + ptr1 = pState; + + /* Initialize coefficient pointer */ + ptr2 = pCoeffs + (S->L - j); + + /* Loop over the polyPhase length. Unroll by a factor of 4. + ** Repeat until we've computed numTaps-(4*S->L) coefficients. */ + tapCnt = phaseLen >> 2; + while (tapCnt > 0U) + { + + /* Read the coefficient */ + c0 = *(ptr2); + + /* Upsampling is done by stuffing L-1 zeros between each sample. + * So instead of multiplying zeros with coefficients, + * Increment the coefficient pointer by interpolation factor times. */ + ptr2 += S->L; + + /* Read the input sample */ + x0 = *(ptr1++); + + /* Perform the multiply-accumulate */ + sum0 += (q63_t) x0 *c0; + + /* Read the coefficient */ + c0 = *(ptr2); + + /* Increment the coefficient pointer by interpolation factor times. */ + ptr2 += S->L; + + /* Read the input sample */ + x0 = *(ptr1++); + + /* Perform the multiply-accumulate */ + sum0 += (q63_t) x0 *c0; + + /* Read the coefficient */ + c0 = *(ptr2); + + /* Increment the coefficient pointer by interpolation factor times. */ + ptr2 += S->L; + + /* Read the input sample */ + x0 = *(ptr1++); + + /* Perform the multiply-accumulate */ + sum0 += (q63_t) x0 *c0; + + /* Read the coefficient */ + c0 = *(ptr2); + + /* Increment the coefficient pointer by interpolation factor times. */ + ptr2 += S->L; + + /* Read the input sample */ + x0 = *(ptr1++); + + /* Perform the multiply-accumulate */ + sum0 += (q63_t) x0 *c0; + + /* Decrement the loop counter */ + tapCnt--; + } + + /* If the polyPhase length is not a multiple of 4, compute the remaining filter taps */ + tapCnt = phaseLen & 0x3U; + + while (tapCnt > 0U) + { + /* Read the coefficient */ + c0 = *(ptr2); + + /* Increment the coefficient pointer by interpolation factor times. */ + ptr2 += S->L; + + /* Read the input sample */ + x0 = *(ptr1++); + + /* Perform the multiply-accumulate */ + sum0 += (q63_t) x0 *c0; + + /* Decrement the loop counter */ + tapCnt--; + } + + /* The result is in the accumulator, store in the destination buffer. */ + *pDst++ = (q31_t) (sum0 >> 31); + + /* Increment the address modifier index of coefficient buffer */ + j++; + + /* Decrement the loop counter */ + i--; + } + + /* Advance the state pointer by 1 + * to process the next group of interpolation factor number samples */ + pState = pState + 1; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Processing is complete. + ** Now copy the last phaseLen - 1 samples to the satrt of the state buffer. + ** This prepares the state buffer for the next function call. */ + + /* Points to the start of the state buffer */ + pStateCurnt = S->pState; + + tapCnt = (phaseLen - 1U) >> 2U; + + /* copy data */ + while (tapCnt > 0U) + { + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + + /* Decrement the loop counter */ + tapCnt--; + } + + tapCnt = (phaseLen - 1U) % 0x04U; + + /* copy data */ + while (tapCnt > 0U) + { + *pStateCurnt++ = *pState++; + + /* Decrement the loop counter */ + tapCnt--; + } + +} + + +#else + +void arm_fir_interpolate_q31( + const arm_fir_interpolate_instance_q31 * S, + q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize) +{ + q31_t *pState = S->pState; /* State pointer */ + q31_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + q31_t *pStateCurnt; /* Points to the current sample of the state */ + q31_t *ptr1, *ptr2; /* Temporary pointers for state and coefficient buffers */ + + /* Run the below code for Cortex-M0 */ + + q63_t sum; /* Accumulator */ + q31_t x0, c0; /* Temporary variables to hold state and coefficient values */ + uint32_t i, blkCnt; /* Loop counters */ + uint16_t phaseLen = S->phaseLength, tapCnt; /* Length of each polyphase filter component */ + + + /* S->pState buffer contains previous frame (phaseLen - 1) samples */ + /* pStateCurnt points to the location where the new input data should be written */ + pStateCurnt = S->pState + ((q31_t) phaseLen - 1); + + /* Total number of intput samples */ + blkCnt = blockSize; + + /* Loop over the blockSize. */ + while (blkCnt > 0U) + { + /* Copy new input sample into the state buffer */ + *pStateCurnt++ = *pSrc++; + + /* Loop over the Interpolation factor. */ + i = S->L; + + while (i > 0U) + { + /* Set accumulator to zero */ + sum = 0; + + /* Initialize state pointer */ + ptr1 = pState; + + /* Initialize coefficient pointer */ + ptr2 = pCoeffs + (i - 1U); + + tapCnt = phaseLen; + + while (tapCnt > 0U) + { + /* Read the coefficient */ + c0 = *(ptr2); + + /* Increment the coefficient pointer by interpolation factor times. */ + ptr2 += S->L; + + /* Read the input sample */ + x0 = *ptr1++; + + /* Perform the multiply-accumulate */ + sum += (q63_t) x0 *c0; + + /* Decrement the loop counter */ + tapCnt--; + } + + /* The result is in the accumulator, store in the destination buffer. */ + *pDst++ = (q31_t) (sum >> 31); + + /* Decrement the loop counter */ + i--; + } + + /* Advance the state pointer by 1 + * to process the next group of interpolation factor number samples */ + pState = pState + 1; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Processing is complete. + ** Now copy the last phaseLen - 1 samples to the satrt of the state buffer. + ** This prepares the state buffer for the next function call. */ + + /* Points to the start of the state buffer */ + pStateCurnt = S->pState; + + tapCnt = phaseLen - 1U; + + /* copy data */ + while (tapCnt > 0U) + { + *pStateCurnt++ = *pState++; + + /* Decrement the loop counter */ + tapCnt--; + } + +} + +#endif /* #if defined (ARM_MATH_DSP) */ + + /** + * @} end of FIR_Interpolate group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_f32.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_f32.c new file mode 100644 index 0000000..1b6d0fb --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_f32.c @@ -0,0 +1,494 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fir_lattice_f32.c + * Description: Processing function for the floating-point FIR Lattice filter + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupFilters + */ + +/** + * @defgroup FIR_Lattice Finite Impulse Response (FIR) Lattice Filters + * + * This set of functions implements Finite Impulse Response (FIR) lattice filters + * for Q15, Q31 and floating-point data types. Lattice filters are used in a + * variety of adaptive filter applications. The filter structure is feedforward and + * the net impulse response is finite length. + * The functions operate on blocks + * of input and output data and each call to the function processes + * blockSize samples through the filter. pSrc and + * pDst point to input and output arrays containing blockSize values. + * + * \par Algorithm: + * \image html FIRLattice.gif "Finite Impulse Response Lattice filter" + * The following difference equation is implemented: + *
+ *    f0[n] = g0[n] = x[n]
+ *    fm[n] = fm-1[n] + km * gm-1[n-1] for m = 1, 2, ...M
+ *    gm[n] = km * fm-1[n] + gm-1[n-1] for m = 1, 2, ...M
+ *    y[n] = fM[n]
+ * 
+ * \par + * pCoeffs points to tha array of reflection coefficients of size numStages. + * Reflection Coefficients are stored in the following order. + * \par + *
+ *    {k1, k2, ..., kM}
+ * 
+ * where M is number of stages + * \par + * pState points to a state array of size numStages. + * The state variables (g values) hold previous inputs and are stored in the following order. + *
+ *    {g0[n], g1[n], g2[n] ...gM-1[n]}
+ * 
+ * The state variables are updated after each block of data is processed; the coefficients are untouched. + * \par Instance Structure + * The coefficients and state variables for a filter are stored together in an instance data structure. + * A separate instance structure must be defined for each filter. + * Coefficient arrays may be shared among several instances while state variable arrays cannot be shared. + * There are separate instance structure declarations for each of the 3 supported data types. + * + * \par Initialization Functions + * There is also an associated initialization function for each data type. + * The initialization function performs the following operations: + * - Sets the values of the internal structure fields. + * - Zeros out the values in the state buffer. + * To do this manually without calling the init function, assign the follow subfields of the instance structure: + * numStages, pCoeffs, pState. Also set all of the values in pState to zero. + * + * \par + * Use of the initialization function is optional. + * However, if the initialization function is used, then the instance structure cannot be placed into a const data section. + * To place an instance structure into a const data section, the instance structure must be manually initialized. + * Set the values in the state buffer to zeros and then manually initialize the instance structure as follows: + *
+ *arm_fir_lattice_instance_f32 S = {numStages, pState, pCoeffs};
+ *arm_fir_lattice_instance_q31 S = {numStages, pState, pCoeffs};
+ *arm_fir_lattice_instance_q15 S = {numStages, pState, pCoeffs};
+ * 
+ * \par + * where numStages is the number of stages in the filter; pState is the address of the state buffer; + * pCoeffs is the address of the coefficient buffer. + * \par Fixed-Point Behavior + * Care must be taken when using the fixed-point versions of the FIR Lattice filter functions. + * In particular, the overflow and saturation behavior of the accumulator used in each function must be considered. + * Refer to the function specific documentation below for usage guidelines. + */ + +/** + * @addtogroup FIR_Lattice + * @{ + */ + + + /** + * @brief Processing function for the floating-point FIR lattice filter. + * @param[in] *S points to an instance of the floating-point FIR lattice structure. + * @param[in] *pSrc points to the block of input data. + * @param[out] *pDst points to the block of output data + * @param[in] blockSize number of samples to process. + * @return none. + */ + +void arm_fir_lattice_f32( + const arm_fir_lattice_instance_f32 * S, + float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize) +{ + float32_t *pState; /* State pointer */ + float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + float32_t *px; /* temporary state pointer */ + float32_t *pk; /* temporary coefficient pointer */ + + +#if defined (ARM_MATH_DSP) + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + float32_t fcurr1, fnext1, gcurr1, gnext1; /* temporary variables for first sample in loop unrolling */ + float32_t fcurr2, fnext2, gnext2; /* temporary variables for second sample in loop unrolling */ + float32_t fcurr3, fnext3, gnext3; /* temporary variables for third sample in loop unrolling */ + float32_t fcurr4, fnext4, gnext4; /* temporary variables for fourth sample in loop unrolling */ + uint32_t numStages = S->numStages; /* Number of stages in the filter */ + uint32_t blkCnt, stageCnt; /* temporary variables for counts */ + + gcurr1 = 0.0f; + pState = &S->pState[0]; + + blkCnt = blockSize >> 2; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + + /* Read two samples from input buffer */ + /* f0(n) = x(n) */ + fcurr1 = *pSrc++; + fcurr2 = *pSrc++; + + /* Initialize coeff pointer */ + pk = (pCoeffs); + + /* Initialize state pointer */ + px = pState; + + /* Read g0(n-1) from state */ + gcurr1 = *px; + + /* Process first sample for first tap */ + /* f1(n) = f0(n) + K1 * g0(n-1) */ + fnext1 = fcurr1 + ((*pk) * gcurr1); + /* g1(n) = f0(n) * K1 + g0(n-1) */ + gnext1 = (fcurr1 * (*pk)) + gcurr1; + + /* Process second sample for first tap */ + /* for sample 2 processing */ + fnext2 = fcurr2 + ((*pk) * fcurr1); + gnext2 = (fcurr2 * (*pk)) + fcurr1; + + /* Read next two samples from input buffer */ + /* f0(n+2) = x(n+2) */ + fcurr3 = *pSrc++; + fcurr4 = *pSrc++; + + /* Copy only last input samples into the state buffer + which will be used for next four samples processing */ + *px++ = fcurr4; + + /* Process third sample for first tap */ + fnext3 = fcurr3 + ((*pk) * fcurr2); + gnext3 = (fcurr3 * (*pk)) + fcurr2; + + /* Process fourth sample for first tap */ + fnext4 = fcurr4 + ((*pk) * fcurr3); + gnext4 = (fcurr4 * (*pk++)) + fcurr3; + + /* Update of f values for next coefficient set processing */ + fcurr1 = fnext1; + fcurr2 = fnext2; + fcurr3 = fnext3; + fcurr4 = fnext4; + + /* Loop unrolling. Process 4 taps at a time . */ + stageCnt = (numStages - 1U) >> 2U; + + /* Loop over the number of taps. Unroll by a factor of 4. + ** Repeat until we've computed numStages-3 coefficients. */ + + /* Process 2nd, 3rd, 4th and 5th taps ... here */ + while (stageCnt > 0U) + { + /* Read g1(n-1), g3(n-1) .... from state */ + gcurr1 = *px; + + /* save g1(n) in state buffer */ + *px++ = gnext4; + + /* Process first sample for 2nd, 6th .. tap */ + /* Sample processing for K2, K6.... */ + /* f2(n) = f1(n) + K2 * g1(n-1) */ + fnext1 = fcurr1 + ((*pk) * gcurr1); + /* Process second sample for 2nd, 6th .. tap */ + /* for sample 2 processing */ + fnext2 = fcurr2 + ((*pk) * gnext1); + /* Process third sample for 2nd, 6th .. tap */ + fnext3 = fcurr3 + ((*pk) * gnext2); + /* Process fourth sample for 2nd, 6th .. tap */ + fnext4 = fcurr4 + ((*pk) * gnext3); + + /* g2(n) = f1(n) * K2 + g1(n-1) */ + /* Calculation of state values for next stage */ + gnext4 = (fcurr4 * (*pk)) + gnext3; + gnext3 = (fcurr3 * (*pk)) + gnext2; + gnext2 = (fcurr2 * (*pk)) + gnext1; + gnext1 = (fcurr1 * (*pk++)) + gcurr1; + + + /* Read g2(n-1), g4(n-1) .... from state */ + gcurr1 = *px; + + /* save g2(n) in state buffer */ + *px++ = gnext4; + + /* Sample processing for K3, K7.... */ + /* Process first sample for 3rd, 7th .. tap */ + /* f3(n) = f2(n) + K3 * g2(n-1) */ + fcurr1 = fnext1 + ((*pk) * gcurr1); + /* Process second sample for 3rd, 7th .. tap */ + fcurr2 = fnext2 + ((*pk) * gnext1); + /* Process third sample for 3rd, 7th .. tap */ + fcurr3 = fnext3 + ((*pk) * gnext2); + /* Process fourth sample for 3rd, 7th .. tap */ + fcurr4 = fnext4 + ((*pk) * gnext3); + + /* Calculation of state values for next stage */ + /* g3(n) = f2(n) * K3 + g2(n-1) */ + gnext4 = (fnext4 * (*pk)) + gnext3; + gnext3 = (fnext3 * (*pk)) + gnext2; + gnext2 = (fnext2 * (*pk)) + gnext1; + gnext1 = (fnext1 * (*pk++)) + gcurr1; + + + /* Read g1(n-1), g3(n-1) .... from state */ + gcurr1 = *px; + + /* save g3(n) in state buffer */ + *px++ = gnext4; + + /* Sample processing for K4, K8.... */ + /* Process first sample for 4th, 8th .. tap */ + /* f4(n) = f3(n) + K4 * g3(n-1) */ + fnext1 = fcurr1 + ((*pk) * gcurr1); + /* Process second sample for 4th, 8th .. tap */ + /* for sample 2 processing */ + fnext2 = fcurr2 + ((*pk) * gnext1); + /* Process third sample for 4th, 8th .. tap */ + fnext3 = fcurr3 + ((*pk) * gnext2); + /* Process fourth sample for 4th, 8th .. tap */ + fnext4 = fcurr4 + ((*pk) * gnext3); + + /* g4(n) = f3(n) * K4 + g3(n-1) */ + /* Calculation of state values for next stage */ + gnext4 = (fcurr4 * (*pk)) + gnext3; + gnext3 = (fcurr3 * (*pk)) + gnext2; + gnext2 = (fcurr2 * (*pk)) + gnext1; + gnext1 = (fcurr1 * (*pk++)) + gcurr1; + + /* Read g2(n-1), g4(n-1) .... from state */ + gcurr1 = *px; + + /* save g4(n) in state buffer */ + *px++ = gnext4; + + /* Sample processing for K5, K9.... */ + /* Process first sample for 5th, 9th .. tap */ + /* f5(n) = f4(n) + K5 * g4(n-1) */ + fcurr1 = fnext1 + ((*pk) * gcurr1); + /* Process second sample for 5th, 9th .. tap */ + fcurr2 = fnext2 + ((*pk) * gnext1); + /* Process third sample for 5th, 9th .. tap */ + fcurr3 = fnext3 + ((*pk) * gnext2); + /* Process fourth sample for 5th, 9th .. tap */ + fcurr4 = fnext4 + ((*pk) * gnext3); + + /* Calculation of state values for next stage */ + /* g5(n) = f4(n) * K5 + g4(n-1) */ + gnext4 = (fnext4 * (*pk)) + gnext3; + gnext3 = (fnext3 * (*pk)) + gnext2; + gnext2 = (fnext2 * (*pk)) + gnext1; + gnext1 = (fnext1 * (*pk++)) + gcurr1; + + stageCnt--; + } + + /* If the (filter length -1) is not a multiple of 4, compute the remaining filter taps */ + stageCnt = (numStages - 1U) % 0x4U; + + while (stageCnt > 0U) + { + gcurr1 = *px; + + /* save g value in state buffer */ + *px++ = gnext4; + + /* Process four samples for last three taps here */ + fnext1 = fcurr1 + ((*pk) * gcurr1); + fnext2 = fcurr2 + ((*pk) * gnext1); + fnext3 = fcurr3 + ((*pk) * gnext2); + fnext4 = fcurr4 + ((*pk) * gnext3); + + /* g1(n) = f0(n) * K1 + g0(n-1) */ + gnext4 = (fcurr4 * (*pk)) + gnext3; + gnext3 = (fcurr3 * (*pk)) + gnext2; + gnext2 = (fcurr2 * (*pk)) + gnext1; + gnext1 = (fcurr1 * (*pk++)) + gcurr1; + + /* Update of f values for next coefficient set processing */ + fcurr1 = fnext1; + fcurr2 = fnext2; + fcurr3 = fnext3; + fcurr4 = fnext4; + + stageCnt--; + + } + + /* The results in the 4 accumulators, store in the destination buffer. */ + /* y(n) = fN(n) */ + *pDst++ = fcurr1; + *pDst++ = fcurr2; + *pDst++ = fcurr3; + *pDst++ = fcurr4; + + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4U; + + while (blkCnt > 0U) + { + /* f0(n) = x(n) */ + fcurr1 = *pSrc++; + + /* Initialize coeff pointer */ + pk = (pCoeffs); + + /* Initialize state pointer */ + px = pState; + + /* read g2(n) from state buffer */ + gcurr1 = *px; + + /* for sample 1 processing */ + /* f1(n) = f0(n) + K1 * g0(n-1) */ + fnext1 = fcurr1 + ((*pk) * gcurr1); + /* g1(n) = f0(n) * K1 + g0(n-1) */ + gnext1 = (fcurr1 * (*pk++)) + gcurr1; + + /* save g1(n) in state buffer */ + *px++ = fcurr1; + + /* f1(n) is saved in fcurr1 + for next stage processing */ + fcurr1 = fnext1; + + stageCnt = (numStages - 1U); + + /* stage loop */ + while (stageCnt > 0U) + { + /* read g2(n) from state buffer */ + gcurr1 = *px; + + /* save g1(n) in state buffer */ + *px++ = gnext1; + + /* Sample processing for K2, K3.... */ + /* f2(n) = f1(n) + K2 * g1(n-1) */ + fnext1 = fcurr1 + ((*pk) * gcurr1); + /* g2(n) = f1(n) * K2 + g1(n-1) */ + gnext1 = (fcurr1 * (*pk++)) + gcurr1; + + /* f1(n) is saved in fcurr1 + for next stage processing */ + fcurr1 = fnext1; + + stageCnt--; + + } + + /* y(n) = fN(n) */ + *pDst++ = fcurr1; + + blkCnt--; + + } + +#else + + /* Run the below code for Cortex-M0 */ + + float32_t fcurr, fnext, gcurr, gnext; /* temporary variables */ + uint32_t numStages = S->numStages; /* Length of the filter */ + uint32_t blkCnt, stageCnt; /* temporary variables for counts */ + + pState = &S->pState[0]; + + blkCnt = blockSize; + + while (blkCnt > 0U) + { + /* f0(n) = x(n) */ + fcurr = *pSrc++; + + /* Initialize coeff pointer */ + pk = pCoeffs; + + /* Initialize state pointer */ + px = pState; + + /* read g0(n-1) from state buffer */ + gcurr = *px; + + /* for sample 1 processing */ + /* f1(n) = f0(n) + K1 * g0(n-1) */ + fnext = fcurr + ((*pk) * gcurr); + /* g1(n) = f0(n) * K1 + g0(n-1) */ + gnext = (fcurr * (*pk++)) + gcurr; + + /* save f0(n) in state buffer */ + *px++ = fcurr; + + /* f1(n) is saved in fcurr + for next stage processing */ + fcurr = fnext; + + stageCnt = (numStages - 1U); + + /* stage loop */ + while (stageCnt > 0U) + { + /* read g2(n) from state buffer */ + gcurr = *px; + + /* save g1(n) in state buffer */ + *px++ = gnext; + + /* Sample processing for K2, K3.... */ + /* f2(n) = f1(n) + K2 * g1(n-1) */ + fnext = fcurr + ((*pk) * gcurr); + /* g2(n) = f1(n) * K2 + g1(n-1) */ + gnext = (fcurr * (*pk++)) + gcurr; + + /* f1(n) is saved in fcurr1 + for next stage processing */ + fcurr = fnext; + + stageCnt--; + + } + + /* y(n) = fN(n) */ + *pDst++ = fcurr; + + blkCnt--; + + } + +#endif /* #if defined (ARM_MATH_DSP) */ + +} + +/** + * @} end of FIR_Lattice group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_init_f32.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_init_f32.c new file mode 100644 index 0000000..55520eb --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_init_f32.c @@ -0,0 +1,71 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fir_lattice_init_f32.c + * Description: Floating-point FIR Lattice filter initialization function + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupFilters + */ + +/** + * @addtogroup FIR_Lattice + * @{ + */ + +/** + * @brief Initialization function for the floating-point FIR lattice filter. + * @param[in] *S points to an instance of the floating-point FIR lattice structure. + * @param[in] numStages number of filter stages. + * @param[in] *pCoeffs points to the coefficient buffer. The array is of length numStages. + * @param[in] *pState points to the state buffer. The array is of length numStages. + * @return none. + */ + +void arm_fir_lattice_init_f32( + arm_fir_lattice_instance_f32 * S, + uint16_t numStages, + float32_t * pCoeffs, + float32_t * pState) +{ + /* Assign filter taps */ + S->numStages = numStages; + + /* Assign coefficient pointer */ + S->pCoeffs = pCoeffs; + + /* Clear state buffer and size is always numStages */ + memset(pState, 0, (numStages) * sizeof(float32_t)); + + /* Assign state pointer */ + S->pState = pState; + +} + +/** + * @} end of FIR_Lattice group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_init_q15.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_init_q15.c new file mode 100644 index 0000000..59cf496 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_init_q15.c @@ -0,0 +1,71 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fir_lattice_init_q15.c + * Description: Q15 FIR Lattice filter initialization function + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupFilters + */ + +/** + * @addtogroup FIR_Lattice + * @{ + */ + + /** + * @brief Initialization function for the Q15 FIR lattice filter. + * @param[in] *S points to an instance of the Q15 FIR lattice structure. + * @param[in] numStages number of filter stages. + * @param[in] *pCoeffs points to the coefficient buffer. The array is of length numStages. + * @param[in] *pState points to the state buffer. The array is of length numStages. + * @return none. + */ + +void arm_fir_lattice_init_q15( + arm_fir_lattice_instance_q15 * S, + uint16_t numStages, + q15_t * pCoeffs, + q15_t * pState) +{ + /* Assign filter taps */ + S->numStages = numStages; + + /* Assign coefficient pointer */ + S->pCoeffs = pCoeffs; + + /* Clear state buffer and size is always numStages */ + memset(pState, 0, (numStages) * sizeof(q15_t)); + + /* Assign state pointer */ + S->pState = pState; + +} + +/** + * @} end of FIR_Lattice group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_init_q31.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_init_q31.c new file mode 100644 index 0000000..abdd76f --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_init_q31.c @@ -0,0 +1,71 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fir_lattice_init_q31.c + * Description: Q31 FIR lattice filter initialization function + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupFilters + */ + +/** + * @addtogroup FIR_Lattice + * @{ + */ + + /** + * @brief Initialization function for the Q31 FIR lattice filter. + * @param[in] *S points to an instance of the Q31 FIR lattice structure. + * @param[in] numStages number of filter stages. + * @param[in] *pCoeffs points to the coefficient buffer. The array is of length numStages. + * @param[in] *pState points to the state buffer. The array is of length numStages. + * @return none. + */ + +void arm_fir_lattice_init_q31( + arm_fir_lattice_instance_q31 * S, + uint16_t numStages, + q31_t * pCoeffs, + q31_t * pState) +{ + /* Assign filter taps */ + S->numStages = numStages; + + /* Assign coefficient pointer */ + S->pCoeffs = pCoeffs; + + /* Clear state buffer and size is always numStages */ + memset(pState, 0, (numStages) * sizeof(q31_t)); + + /* Assign state pointer */ + S->pState = pState; + +} + +/** + * @} end of FIR_Lattice group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_q15.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_q15.c new file mode 100644 index 0000000..fb95ab6 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_q15.c @@ -0,0 +1,524 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fir_lattice_q15.c + * Description: Q15 FIR lattice filter processing function + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupFilters + */ + +/** + * @addtogroup FIR_Lattice + * @{ + */ + + +/** + * @brief Processing function for the Q15 FIR lattice filter. + * @param[in] *S points to an instance of the Q15 FIR lattice structure. + * @param[in] *pSrc points to the block of input data. + * @param[out] *pDst points to the block of output data + * @param[in] blockSize number of samples to process. + * @return none. + */ + +void arm_fir_lattice_q15( + const arm_fir_lattice_instance_q15 * S, + q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize) +{ + q15_t *pState; /* State pointer */ + q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + q15_t *px; /* temporary state pointer */ + q15_t *pk; /* temporary coefficient pointer */ + + +#if defined (ARM_MATH_DSP) + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + q31_t fcurnt1, fnext1, gcurnt1 = 0, gnext1; /* temporary variables for first sample in loop unrolling */ + q31_t fcurnt2, fnext2, gnext2; /* temporary variables for second sample in loop unrolling */ + q31_t fcurnt3, fnext3, gnext3; /* temporary variables for third sample in loop unrolling */ + q31_t fcurnt4, fnext4, gnext4; /* temporary variables for fourth sample in loop unrolling */ + uint32_t numStages = S->numStages; /* Number of stages in the filter */ + uint32_t blkCnt, stageCnt; /* temporary variables for counts */ + + pState = &S->pState[0]; + + blkCnt = blockSize >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + + /* Read two samples from input buffer */ + /* f0(n) = x(n) */ + fcurnt1 = *pSrc++; + fcurnt2 = *pSrc++; + + /* Initialize coeff pointer */ + pk = (pCoeffs); + + /* Initialize state pointer */ + px = pState; + + /* Read g0(n-1) from state */ + gcurnt1 = *px; + + /* Process first sample for first tap */ + /* f1(n) = f0(n) + K1 * g0(n-1) */ + fnext1 = (q31_t) ((gcurnt1 * (*pk)) >> 15U) + fcurnt1; + fnext1 = __SSAT(fnext1, 16); + + /* g1(n) = f0(n) * K1 + g0(n-1) */ + gnext1 = (q31_t) ((fcurnt1 * (*pk)) >> 15U) + gcurnt1; + gnext1 = __SSAT(gnext1, 16); + + /* Process second sample for first tap */ + /* for sample 2 processing */ + fnext2 = (q31_t) ((fcurnt1 * (*pk)) >> 15U) + fcurnt2; + fnext2 = __SSAT(fnext2, 16); + + gnext2 = (q31_t) ((fcurnt2 * (*pk)) >> 15U) + fcurnt1; + gnext2 = __SSAT(gnext2, 16); + + + /* Read next two samples from input buffer */ + /* f0(n+2) = x(n+2) */ + fcurnt3 = *pSrc++; + fcurnt4 = *pSrc++; + + /* Copy only last input samples into the state buffer + which is used for next four samples processing */ + *px++ = (q15_t) fcurnt4; + + /* Process third sample for first tap */ + fnext3 = (q31_t) ((fcurnt2 * (*pk)) >> 15U) + fcurnt3; + fnext3 = __SSAT(fnext3, 16); + gnext3 = (q31_t) ((fcurnt3 * (*pk)) >> 15U) + fcurnt2; + gnext3 = __SSAT(gnext3, 16); + + /* Process fourth sample for first tap */ + fnext4 = (q31_t) ((fcurnt3 * (*pk)) >> 15U) + fcurnt4; + fnext4 = __SSAT(fnext4, 16); + gnext4 = (q31_t) ((fcurnt4 * (*pk++)) >> 15U) + fcurnt3; + gnext4 = __SSAT(gnext4, 16); + + /* Update of f values for next coefficient set processing */ + fcurnt1 = fnext1; + fcurnt2 = fnext2; + fcurnt3 = fnext3; + fcurnt4 = fnext4; + + + /* Loop unrolling. Process 4 taps at a time . */ + stageCnt = (numStages - 1U) >> 2; + + + /* Loop over the number of taps. Unroll by a factor of 4. + ** Repeat until we've computed numStages-3 coefficients. */ + + /* Process 2nd, 3rd, 4th and 5th taps ... here */ + while (stageCnt > 0U) + { + /* Read g1(n-1), g3(n-1) .... from state */ + gcurnt1 = *px; + + /* save g1(n) in state buffer */ + *px++ = (q15_t) gnext4; + + /* Process first sample for 2nd, 6th .. tap */ + /* Sample processing for K2, K6.... */ + /* f1(n) = f0(n) + K1 * g0(n-1) */ + fnext1 = (q31_t) ((gcurnt1 * (*pk)) >> 15U) + fcurnt1; + fnext1 = __SSAT(fnext1, 16); + + + /* Process second sample for 2nd, 6th .. tap */ + /* for sample 2 processing */ + fnext2 = (q31_t) ((gnext1 * (*pk)) >> 15U) + fcurnt2; + fnext2 = __SSAT(fnext2, 16); + /* Process third sample for 2nd, 6th .. tap */ + fnext3 = (q31_t) ((gnext2 * (*pk)) >> 15U) + fcurnt3; + fnext3 = __SSAT(fnext3, 16); + /* Process fourth sample for 2nd, 6th .. tap */ + /* fnext4 = fcurnt4 + (*pk) * gnext3; */ + fnext4 = (q31_t) ((gnext3 * (*pk)) >> 15U) + fcurnt4; + fnext4 = __SSAT(fnext4, 16); + + /* g1(n) = f0(n) * K1 + g0(n-1) */ + /* Calculation of state values for next stage */ + gnext4 = (q31_t) ((fcurnt4 * (*pk)) >> 15U) + gnext3; + gnext4 = __SSAT(gnext4, 16); + gnext3 = (q31_t) ((fcurnt3 * (*pk)) >> 15U) + gnext2; + gnext3 = __SSAT(gnext3, 16); + + gnext2 = (q31_t) ((fcurnt2 * (*pk)) >> 15U) + gnext1; + gnext2 = __SSAT(gnext2, 16); + + gnext1 = (q31_t) ((fcurnt1 * (*pk++)) >> 15U) + gcurnt1; + gnext1 = __SSAT(gnext1, 16); + + + /* Read g2(n-1), g4(n-1) .... from state */ + gcurnt1 = *px; + + /* save g1(n) in state buffer */ + *px++ = (q15_t) gnext4; + + /* Sample processing for K3, K7.... */ + /* Process first sample for 3rd, 7th .. tap */ + /* f3(n) = f2(n) + K3 * g2(n-1) */ + fcurnt1 = (q31_t) ((gcurnt1 * (*pk)) >> 15U) + fnext1; + fcurnt1 = __SSAT(fcurnt1, 16); + + /* Process second sample for 3rd, 7th .. tap */ + fcurnt2 = (q31_t) ((gnext1 * (*pk)) >> 15U) + fnext2; + fcurnt2 = __SSAT(fcurnt2, 16); + + /* Process third sample for 3rd, 7th .. tap */ + fcurnt3 = (q31_t) ((gnext2 * (*pk)) >> 15U) + fnext3; + fcurnt3 = __SSAT(fcurnt3, 16); + + /* Process fourth sample for 3rd, 7th .. tap */ + fcurnt4 = (q31_t) ((gnext3 * (*pk)) >> 15U) + fnext4; + fcurnt4 = __SSAT(fcurnt4, 16); + + /* Calculation of state values for next stage */ + /* g3(n) = f2(n) * K3 + g2(n-1) */ + gnext4 = (q31_t) ((fnext4 * (*pk)) >> 15U) + gnext3; + gnext4 = __SSAT(gnext4, 16); + + gnext3 = (q31_t) ((fnext3 * (*pk)) >> 15U) + gnext2; + gnext3 = __SSAT(gnext3, 16); + + gnext2 = (q31_t) ((fnext2 * (*pk)) >> 15U) + gnext1; + gnext2 = __SSAT(gnext2, 16); + + gnext1 = (q31_t) ((fnext1 * (*pk++)) >> 15U) + gcurnt1; + gnext1 = __SSAT(gnext1, 16); + + /* Read g1(n-1), g3(n-1) .... from state */ + gcurnt1 = *px; + + /* save g1(n) in state buffer */ + *px++ = (q15_t) gnext4; + + /* Sample processing for K4, K8.... */ + /* Process first sample for 4th, 8th .. tap */ + /* f4(n) = f3(n) + K4 * g3(n-1) */ + fnext1 = (q31_t) ((gcurnt1 * (*pk)) >> 15U) + fcurnt1; + fnext1 = __SSAT(fnext1, 16); + + /* Process second sample for 4th, 8th .. tap */ + /* for sample 2 processing */ + fnext2 = (q31_t) ((gnext1 * (*pk)) >> 15U) + fcurnt2; + fnext2 = __SSAT(fnext2, 16); + + /* Process third sample for 4th, 8th .. tap */ + fnext3 = (q31_t) ((gnext2 * (*pk)) >> 15U) + fcurnt3; + fnext3 = __SSAT(fnext3, 16); + + /* Process fourth sample for 4th, 8th .. tap */ + fnext4 = (q31_t) ((gnext3 * (*pk)) >> 15U) + fcurnt4; + fnext4 = __SSAT(fnext4, 16); + + /* g4(n) = f3(n) * K4 + g3(n-1) */ + /* Calculation of state values for next stage */ + gnext4 = (q31_t) ((fcurnt4 * (*pk)) >> 15U) + gnext3; + gnext4 = __SSAT(gnext4, 16); + + gnext3 = (q31_t) ((fcurnt3 * (*pk)) >> 15U) + gnext2; + gnext3 = __SSAT(gnext3, 16); + + gnext2 = (q31_t) ((fcurnt2 * (*pk)) >> 15U) + gnext1; + gnext2 = __SSAT(gnext2, 16); + gnext1 = (q31_t) ((fcurnt1 * (*pk++)) >> 15U) + gcurnt1; + gnext1 = __SSAT(gnext1, 16); + + + /* Read g2(n-1), g4(n-1) .... from state */ + gcurnt1 = *px; + + /* save g4(n) in state buffer */ + *px++ = (q15_t) gnext4; + + /* Sample processing for K5, K9.... */ + /* Process first sample for 5th, 9th .. tap */ + /* f5(n) = f4(n) + K5 * g4(n-1) */ + fcurnt1 = (q31_t) ((gcurnt1 * (*pk)) >> 15U) + fnext1; + fcurnt1 = __SSAT(fcurnt1, 16); + + /* Process second sample for 5th, 9th .. tap */ + fcurnt2 = (q31_t) ((gnext1 * (*pk)) >> 15U) + fnext2; + fcurnt2 = __SSAT(fcurnt2, 16); + + /* Process third sample for 5th, 9th .. tap */ + fcurnt3 = (q31_t) ((gnext2 * (*pk)) >> 15U) + fnext3; + fcurnt3 = __SSAT(fcurnt3, 16); + + /* Process fourth sample for 5th, 9th .. tap */ + fcurnt4 = (q31_t) ((gnext3 * (*pk)) >> 15U) + fnext4; + fcurnt4 = __SSAT(fcurnt4, 16); + + /* Calculation of state values for next stage */ + /* g5(n) = f4(n) * K5 + g4(n-1) */ + gnext4 = (q31_t) ((fnext4 * (*pk)) >> 15U) + gnext3; + gnext4 = __SSAT(gnext4, 16); + gnext3 = (q31_t) ((fnext3 * (*pk)) >> 15U) + gnext2; + gnext3 = __SSAT(gnext3, 16); + gnext2 = (q31_t) ((fnext2 * (*pk)) >> 15U) + gnext1; + gnext2 = __SSAT(gnext2, 16); + gnext1 = (q31_t) ((fnext1 * (*pk++)) >> 15U) + gcurnt1; + gnext1 = __SSAT(gnext1, 16); + + stageCnt--; + } + + /* If the (filter length -1) is not a multiple of 4, compute the remaining filter taps */ + stageCnt = (numStages - 1U) % 0x4U; + + while (stageCnt > 0U) + { + gcurnt1 = *px; + + /* save g value in state buffer */ + *px++ = (q15_t) gnext4; + + /* Process four samples for last three taps here */ + fnext1 = (q31_t) ((gcurnt1 * (*pk)) >> 15U) + fcurnt1; + fnext1 = __SSAT(fnext1, 16); + fnext2 = (q31_t) ((gnext1 * (*pk)) >> 15U) + fcurnt2; + fnext2 = __SSAT(fnext2, 16); + + fnext3 = (q31_t) ((gnext2 * (*pk)) >> 15U) + fcurnt3; + fnext3 = __SSAT(fnext3, 16); + + fnext4 = (q31_t) ((gnext3 * (*pk)) >> 15U) + fcurnt4; + fnext4 = __SSAT(fnext4, 16); + + /* g1(n) = f0(n) * K1 + g0(n-1) */ + gnext4 = (q31_t) ((fcurnt4 * (*pk)) >> 15U) + gnext3; + gnext4 = __SSAT(gnext4, 16); + gnext3 = (q31_t) ((fcurnt3 * (*pk)) >> 15U) + gnext2; + gnext3 = __SSAT(gnext3, 16); + gnext2 = (q31_t) ((fcurnt2 * (*pk)) >> 15U) + gnext1; + gnext2 = __SSAT(gnext2, 16); + gnext1 = (q31_t) ((fcurnt1 * (*pk++)) >> 15U) + gcurnt1; + gnext1 = __SSAT(gnext1, 16); + + /* Update of f values for next coefficient set processing */ + fcurnt1 = fnext1; + fcurnt2 = fnext2; + fcurnt3 = fnext3; + fcurnt4 = fnext4; + + stageCnt--; + + } + + /* The results in the 4 accumulators, store in the destination buffer. */ + /* y(n) = fN(n) */ + +#ifndef ARM_MATH_BIG_ENDIAN + + *__SIMD32(pDst)++ = __PKHBT(fcurnt1, fcurnt2, 16); + *__SIMD32(pDst)++ = __PKHBT(fcurnt3, fcurnt4, 16); + +#else + + *__SIMD32(pDst)++ = __PKHBT(fcurnt2, fcurnt1, 16); + *__SIMD32(pDst)++ = __PKHBT(fcurnt4, fcurnt3, 16); + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4U; + + while (blkCnt > 0U) + { + /* f0(n) = x(n) */ + fcurnt1 = *pSrc++; + + /* Initialize coeff pointer */ + pk = (pCoeffs); + + /* Initialize state pointer */ + px = pState; + + /* read g2(n) from state buffer */ + gcurnt1 = *px; + + /* for sample 1 processing */ + /* f1(n) = f0(n) + K1 * g0(n-1) */ + fnext1 = (((q31_t) gcurnt1 * (*pk)) >> 15U) + fcurnt1; + fnext1 = __SSAT(fnext1, 16); + + + /* g1(n) = f0(n) * K1 + g0(n-1) */ + gnext1 = (((q31_t) fcurnt1 * (*pk++)) >> 15U) + gcurnt1; + gnext1 = __SSAT(gnext1, 16); + + /* save g1(n) in state buffer */ + *px++ = (q15_t) fcurnt1; + + /* f1(n) is saved in fcurnt1 + for next stage processing */ + fcurnt1 = fnext1; + + stageCnt = (numStages - 1U); + + /* stage loop */ + while (stageCnt > 0U) + { + /* read g2(n) from state buffer */ + gcurnt1 = *px; + + /* save g1(n) in state buffer */ + *px++ = (q15_t) gnext1; + + /* Sample processing for K2, K3.... */ + /* f2(n) = f1(n) + K2 * g1(n-1) */ + fnext1 = (((q31_t) gcurnt1 * (*pk)) >> 15U) + fcurnt1; + fnext1 = __SSAT(fnext1, 16); + + /* g2(n) = f1(n) * K2 + g1(n-1) */ + gnext1 = (((q31_t) fcurnt1 * (*pk++)) >> 15U) + gcurnt1; + gnext1 = __SSAT(gnext1, 16); + + + /* f1(n) is saved in fcurnt1 + for next stage processing */ + fcurnt1 = fnext1; + + stageCnt--; + + } + + /* y(n) = fN(n) */ + *pDst++ = __SSAT(fcurnt1, 16); + + + blkCnt--; + + } + +#else + + /* Run the below code for Cortex-M0 */ + + q31_t fcurnt, fnext, gcurnt, gnext; /* temporary variables */ + uint32_t numStages = S->numStages; /* Length of the filter */ + uint32_t blkCnt, stageCnt; /* temporary variables for counts */ + + pState = &S->pState[0]; + + blkCnt = blockSize; + + while (blkCnt > 0U) + { + /* f0(n) = x(n) */ + fcurnt = *pSrc++; + + /* Initialize coeff pointer */ + pk = (pCoeffs); + + /* Initialize state pointer */ + px = pState; + + /* read g0(n-1) from state buffer */ + gcurnt = *px; + + /* for sample 1 processing */ + /* f1(n) = f0(n) + K1 * g0(n-1) */ + fnext = ((gcurnt * (*pk)) >> 15U) + fcurnt; + fnext = __SSAT(fnext, 16); + + + /* g1(n) = f0(n) * K1 + g0(n-1) */ + gnext = ((fcurnt * (*pk++)) >> 15U) + gcurnt; + gnext = __SSAT(gnext, 16); + + /* save f0(n) in state buffer */ + *px++ = (q15_t) fcurnt; + + /* f1(n) is saved in fcurnt + for next stage processing */ + fcurnt = fnext; + + stageCnt = (numStages - 1U); + + /* stage loop */ + while (stageCnt > 0U) + { + /* read g1(n-1) from state buffer */ + gcurnt = *px; + + /* save g0(n-1) in state buffer */ + *px++ = (q15_t) gnext; + + /* Sample processing for K2, K3.... */ + /* f2(n) = f1(n) + K2 * g1(n-1) */ + fnext = ((gcurnt * (*pk)) >> 15U) + fcurnt; + fnext = __SSAT(fnext, 16); + + /* g2(n) = f1(n) * K2 + g1(n-1) */ + gnext = ((fcurnt * (*pk++)) >> 15U) + gcurnt; + gnext = __SSAT(gnext, 16); + + + /* f1(n) is saved in fcurnt + for next stage processing */ + fcurnt = fnext; + + stageCnt--; + + } + + /* y(n) = fN(n) */ + *pDst++ = __SSAT(fcurnt, 16); + + + blkCnt--; + + } + +#endif /* #if defined (ARM_MATH_DSP) */ + +} + +/** + * @} end of FIR_Lattice group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_q31.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_q31.c new file mode 100644 index 0000000..9d52bbc --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_q31.c @@ -0,0 +1,341 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fir_lattice_q31.c + * Description: Q31 FIR lattice filter processing function + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupFilters + */ + +/** + * @addtogroup FIR_Lattice + * @{ + */ + + +/** + * @brief Processing function for the Q31 FIR lattice filter. + * @param[in] *S points to an instance of the Q31 FIR lattice structure. + * @param[in] *pSrc points to the block of input data. + * @param[out] *pDst points to the block of output data + * @param[in] blockSize number of samples to process. + * @return none. + * + * @details + * Scaling and Overflow Behavior: + * In order to avoid overflows the input signal must be scaled down by 2*log2(numStages) bits. + */ + +#if defined (ARM_MATH_DSP) + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + +void arm_fir_lattice_q31( + const arm_fir_lattice_instance_q31 * S, + q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize) +{ + q31_t *pState; /* State pointer */ + q31_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + q31_t *px; /* temporary state pointer */ + q31_t *pk; /* temporary coefficient pointer */ + q31_t fcurr1, fnext1, gcurr1 = 0, gnext1; /* temporary variables for first sample in loop unrolling */ + q31_t fcurr2, fnext2, gnext2; /* temporary variables for second sample in loop unrolling */ + uint32_t numStages = S->numStages; /* Length of the filter */ + uint32_t blkCnt, stageCnt; /* temporary variables for counts */ + q31_t k; + + pState = &S->pState[0]; + + blkCnt = blockSize >> 1U; + + /* First part of the processing with loop unrolling. Compute 2 outputs at a time. + a second loop below computes the remaining 1 sample. */ + while (blkCnt > 0U) + { + /* f0(n) = x(n) */ + fcurr1 = *pSrc++; + + /* f0(n) = x(n) */ + fcurr2 = *pSrc++; + + /* Initialize coeff pointer */ + pk = (pCoeffs); + + /* Initialize state pointer */ + px = pState; + + /* read g0(n - 1) from state buffer */ + gcurr1 = *px; + + /* Read the reflection coefficient */ + k = *pk++; + + /* for sample 1 processing */ + /* f1(n) = f0(n) + K1 * g0(n-1) */ + fnext1 = (q31_t) (((q63_t) gcurr1 * k) >> 32); + + /* g1(n) = f0(n) * K1 + g0(n-1) */ + gnext1 = (q31_t) (((q63_t) fcurr1 * (k)) >> 32); + fnext1 = fcurr1 + (fnext1 << 1U); + gnext1 = gcurr1 + (gnext1 << 1U); + + /* for sample 1 processing */ + /* f1(n) = f0(n) + K1 * g0(n-1) */ + fnext2 = (q31_t) (((q63_t) fcurr1 * k) >> 32); + + /* g1(n) = f0(n) * K1 + g0(n-1) */ + gnext2 = (q31_t) (((q63_t) fcurr2 * (k)) >> 32); + fnext2 = fcurr2 + (fnext2 << 1U); + gnext2 = fcurr1 + (gnext2 << 1U); + + /* save g1(n) in state buffer */ + *px++ = fcurr2; + + /* f1(n) is saved in fcurr1 + for next stage processing */ + fcurr1 = fnext1; + fcurr2 = fnext2; + + stageCnt = (numStages - 1U); + + /* stage loop */ + while (stageCnt > 0U) + { + + /* Read the reflection coefficient */ + k = *pk++; + + /* read g2(n) from state buffer */ + gcurr1 = *px; + + /* save g1(n) in state buffer */ + *px++ = gnext2; + + /* Sample processing for K2, K3.... */ + /* f2(n) = f1(n) + K2 * g1(n-1) */ + fnext1 = (q31_t) (((q63_t) gcurr1 * k) >> 32); + fnext2 = (q31_t) (((q63_t) gnext1 * k) >> 32); + + fnext1 = fcurr1 + (fnext1 << 1U); + fnext2 = fcurr2 + (fnext2 << 1U); + + /* g2(n) = f1(n) * K2 + g1(n-1) */ + gnext2 = (q31_t) (((q63_t) fcurr2 * (k)) >> 32); + gnext2 = gnext1 + (gnext2 << 1U); + + /* g2(n) = f1(n) * K2 + g1(n-1) */ + gnext1 = (q31_t) (((q63_t) fcurr1 * (k)) >> 32); + gnext1 = gcurr1 + (gnext1 << 1U); + + /* f1(n) is saved in fcurr1 + for next stage processing */ + fcurr1 = fnext1; + fcurr2 = fnext2; + + stageCnt--; + + } + + /* y(n) = fN(n) */ + *pDst++ = fcurr1; + *pDst++ = fcurr2; + + blkCnt--; + + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x2U; + + while (blkCnt > 0U) + { + /* f0(n) = x(n) */ + fcurr1 = *pSrc++; + + /* Initialize coeff pointer */ + pk = (pCoeffs); + + /* Initialize state pointer */ + px = pState; + + /* read g0(n - 1) from state buffer */ + gcurr1 = *px; + + /* Read the reflection coefficient */ + k = *pk++; + + /* for sample 1 processing */ + /* f1(n) = f0(n) + K1 * g0(n-1) */ + fnext1 = (q31_t) (((q63_t) gcurr1 * k) >> 32); + fnext1 = fcurr1 + (fnext1 << 1U); + + /* g1(n) = f0(n) * K1 + g0(n-1) */ + gnext1 = (q31_t) (((q63_t) fcurr1 * (k)) >> 32); + gnext1 = gcurr1 + (gnext1 << 1U); + + /* save g1(n) in state buffer */ + *px++ = fcurr1; + + /* f1(n) is saved in fcurr1 + for next stage processing */ + fcurr1 = fnext1; + + stageCnt = (numStages - 1U); + + /* stage loop */ + while (stageCnt > 0U) + { + /* Read the reflection coefficient */ + k = *pk++; + + /* read g2(n) from state buffer */ + gcurr1 = *px; + + /* save g1(n) in state buffer */ + *px++ = gnext1; + + /* Sample processing for K2, K3.... */ + /* f2(n) = f1(n) + K2 * g1(n-1) */ + fnext1 = (q31_t) (((q63_t) gcurr1 * k) >> 32); + fnext1 = fcurr1 + (fnext1 << 1U); + + /* g2(n) = f1(n) * K2 + g1(n-1) */ + gnext1 = (q31_t) (((q63_t) fcurr1 * (k)) >> 32); + gnext1 = gcurr1 + (gnext1 << 1U); + + /* f1(n) is saved in fcurr1 + for next stage processing */ + fcurr1 = fnext1; + + stageCnt--; + + } + + + /* y(n) = fN(n) */ + *pDst++ = fcurr1; + + blkCnt--; + + } + + +} + + +#else + +/* Run the below code for Cortex-M0 */ + +void arm_fir_lattice_q31( + const arm_fir_lattice_instance_q31 * S, + q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize) +{ + q31_t *pState; /* State pointer */ + q31_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + q31_t *px; /* temporary state pointer */ + q31_t *pk; /* temporary coefficient pointer */ + q31_t fcurr, fnext, gcurr, gnext; /* temporary variables */ + uint32_t numStages = S->numStages; /* Length of the filter */ + uint32_t blkCnt, stageCnt; /* temporary variables for counts */ + + pState = &S->pState[0]; + + blkCnt = blockSize; + + while (blkCnt > 0U) + { + /* f0(n) = x(n) */ + fcurr = *pSrc++; + + /* Initialize coeff pointer */ + pk = (pCoeffs); + + /* Initialize state pointer */ + px = pState; + + /* read g0(n-1) from state buffer */ + gcurr = *px; + + /* for sample 1 processing */ + /* f1(n) = f0(n) + K1 * g0(n-1) */ + fnext = (q31_t) (((q63_t) gcurr * (*pk)) >> 31) + fcurr; + /* g1(n) = f0(n) * K1 + g0(n-1) */ + gnext = (q31_t) (((q63_t) fcurr * (*pk++)) >> 31) + gcurr; + /* save g1(n) in state buffer */ + *px++ = fcurr; + + /* f1(n) is saved in fcurr1 + for next stage processing */ + fcurr = fnext; + + stageCnt = (numStages - 1U); + + /* stage loop */ + while (stageCnt > 0U) + { + /* read g2(n) from state buffer */ + gcurr = *px; + + /* save g1(n) in state buffer */ + *px++ = gnext; + + /* Sample processing for K2, K3.... */ + /* f2(n) = f1(n) + K2 * g1(n-1) */ + fnext = (q31_t) (((q63_t) gcurr * (*pk)) >> 31) + fcurr; + /* g2(n) = f1(n) * K2 + g1(n-1) */ + gnext = (q31_t) (((q63_t) fcurr * (*pk++)) >> 31) + gcurr; + + /* f1(n) is saved in fcurr1 + for next stage processing */ + fcurr = fnext; + + stageCnt--; + + } + + /* y(n) = fN(n) */ + *pDst++ = fcurr; + + blkCnt--; + + } + +} + +#endif /* #if defined (ARM_MATH_DSP) */ + + +/** + * @} end of FIR_Lattice group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_q15.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_q15.c new file mode 100644 index 0000000..a979783 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_q15.c @@ -0,0 +1,679 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fir_q15.c + * Description: Q15 FIR filter processing function + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupFilters + */ + +/** + * @addtogroup FIR + * @{ + */ + +/** + * @brief Processing function for the Q15 FIR filter. + * @param[in] *S points to an instance of the Q15 FIR structure. + * @param[in] *pSrc points to the block of input data. + * @param[out] *pDst points to the block of output data. + * @param[in] blockSize number of samples to process per call. + * @return none. + * + * + * \par Restrictions + * If the silicon does not support unaligned memory access enable the macro UNALIGNED_SUPPORT_DISABLE + * In this case input, output, state buffers should be aligned by 32-bit + * + * Scaling and Overflow Behavior: + * \par + * The function is implemented using a 64-bit internal accumulator. + * Both coefficients and state variables are represented in 1.15 format and multiplications yield a 2.30 result. + * The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format. + * There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved. + * After all additions have been performed, the accumulator is truncated to 34.15 format by discarding low 15 bits. + * Lastly, the accumulator is saturated to yield a result in 1.15 format. + * + * \par + * Refer to the function arm_fir_fast_q15() for a faster but less precise implementation of this function. + */ + +#if defined (ARM_MATH_DSP) + +/* Run the below code for Cortex-M4 and Cortex-M3 */ + +#ifndef UNALIGNED_SUPPORT_DISABLE + + +void arm_fir_q15( + const arm_fir_instance_q15 * S, + q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize) +{ + q15_t *pState = S->pState; /* State pointer */ + q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + q15_t *pStateCurnt; /* Points to the current sample of the state */ + q15_t *px1; /* Temporary q15 pointer for state buffer */ + q15_t *pb; /* Temporary pointer for coefficient buffer */ + q31_t x0, x1, x2, x3, c0; /* Temporary variables to hold SIMD state and coefficient values */ + q63_t acc0, acc1, acc2, acc3; /* Accumulators */ + uint32_t numTaps = S->numTaps; /* Number of taps in the filter */ + uint32_t tapCnt, blkCnt; /* Loop counters */ + + + /* S->pState points to state array which contains previous frame (numTaps - 1) samples */ + /* pStateCurnt points to the location where the new input data should be written */ + pStateCurnt = &(S->pState[(numTaps - 1U)]); + + /* Apply loop unrolling and compute 4 output values simultaneously. + * The variables acc0 ... acc3 hold output values that are being computed: + * + * acc0 = b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0] + * acc1 = b[numTaps-1] * x[n-numTaps] + b[numTaps-2] * x[n-numTaps-1] + b[numTaps-3] * x[n-numTaps-2] +...+ b[0] * x[1] + * acc2 = b[numTaps-1] * x[n-numTaps+1] + b[numTaps-2] * x[n-numTaps] + b[numTaps-3] * x[n-numTaps-1] +...+ b[0] * x[2] + * acc3 = b[numTaps-1] * x[n-numTaps+2] + b[numTaps-2] * x[n-numTaps+1] + b[numTaps-3] * x[n-numTaps] +...+ b[0] * x[3] + */ + + blkCnt = blockSize >> 2; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* Copy four new input samples into the state buffer. + ** Use 32-bit SIMD to move the 16-bit data. Only requires two copies. */ + *__SIMD32(pStateCurnt)++ = *__SIMD32(pSrc)++; + *__SIMD32(pStateCurnt)++ = *__SIMD32(pSrc)++; + + /* Set all accumulators to zero */ + acc0 = 0; + acc1 = 0; + acc2 = 0; + acc3 = 0; + + /* Initialize state pointer of type q15 */ + px1 = pState; + + /* Initialize coeff pointer of type q31 */ + pb = pCoeffs; + + /* Read the first two samples from the state buffer: x[n-N], x[n-N-1] */ + x0 = _SIMD32_OFFSET(px1); + + /* Read the third and forth samples from the state buffer: x[n-N-1], x[n-N-2] */ + x1 = _SIMD32_OFFSET(px1 + 1U); + + px1 += 2U; + + /* Loop over the number of taps. Unroll by a factor of 4. + ** Repeat until we've computed numTaps-4 coefficients. */ + tapCnt = numTaps >> 2; + + while (tapCnt > 0U) + { + /* Read the first two coefficients using SIMD: b[N] and b[N-1] coefficients */ + c0 = *__SIMD32(pb)++; + + /* acc0 += b[N] * x[n-N] + b[N-1] * x[n-N-1] */ + acc0 = __SMLALD(x0, c0, acc0); + + /* acc1 += b[N] * x[n-N-1] + b[N-1] * x[n-N-2] */ + acc1 = __SMLALD(x1, c0, acc1); + + /* Read state x[n-N-2], x[n-N-3] */ + x2 = _SIMD32_OFFSET(px1); + + /* Read state x[n-N-3], x[n-N-4] */ + x3 = _SIMD32_OFFSET(px1 + 1U); + + /* acc2 += b[N] * x[n-N-2] + b[N-1] * x[n-N-3] */ + acc2 = __SMLALD(x2, c0, acc2); + + /* acc3 += b[N] * x[n-N-3] + b[N-1] * x[n-N-4] */ + acc3 = __SMLALD(x3, c0, acc3); + + /* Read coefficients b[N-2], b[N-3] */ + c0 = *__SIMD32(pb)++; + + /* acc0 += b[N-2] * x[n-N-2] + b[N-3] * x[n-N-3] */ + acc0 = __SMLALD(x2, c0, acc0); + + /* acc1 += b[N-2] * x[n-N-3] + b[N-3] * x[n-N-4] */ + acc1 = __SMLALD(x3, c0, acc1); + + /* Read state x[n-N-4], x[n-N-5] */ + x0 = _SIMD32_OFFSET(px1 + 2U); + + /* Read state x[n-N-5], x[n-N-6] */ + x1 = _SIMD32_OFFSET(px1 + 3U); + + /* acc2 += b[N-2] * x[n-N-4] + b[N-3] * x[n-N-5] */ + acc2 = __SMLALD(x0, c0, acc2); + + /* acc3 += b[N-2] * x[n-N-5] + b[N-3] * x[n-N-6] */ + acc3 = __SMLALD(x1, c0, acc3); + + px1 += 4U; + + tapCnt--; + + } + + + /* If the filter length is not a multiple of 4, compute the remaining filter taps. + ** This is always be 2 taps since the filter length is even. */ + if ((numTaps & 0x3U) != 0U) + { + /* Read 2 coefficients */ + c0 = *__SIMD32(pb)++; + + /* Fetch 4 state variables */ + x2 = _SIMD32_OFFSET(px1); + + x3 = _SIMD32_OFFSET(px1 + 1U); + + /* Perform the multiply-accumulates */ + acc0 = __SMLALD(x0, c0, acc0); + + px1 += 2U; + + acc1 = __SMLALD(x1, c0, acc1); + acc2 = __SMLALD(x2, c0, acc2); + acc3 = __SMLALD(x3, c0, acc3); + } + + /* The results in the 4 accumulators are in 2.30 format. Convert to 1.15 with saturation. + ** Then store the 4 outputs in the destination buffer. */ + +#ifndef ARM_MATH_BIG_ENDIAN + + *__SIMD32(pDst)++ = + __PKHBT(__SSAT((acc0 >> 15), 16), __SSAT((acc1 >> 15), 16), 16); + *__SIMD32(pDst)++ = + __PKHBT(__SSAT((acc2 >> 15), 16), __SSAT((acc3 >> 15), 16), 16); + +#else + + *__SIMD32(pDst)++ = + __PKHBT(__SSAT((acc1 >> 15), 16), __SSAT((acc0 >> 15), 16), 16); + *__SIMD32(pDst)++ = + __PKHBT(__SSAT((acc3 >> 15), 16), __SSAT((acc2 >> 15), 16), 16); + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + + + /* Advance the state pointer by 4 to process the next group of 4 samples */ + pState = pState + 4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4U; + while (blkCnt > 0U) + { + /* Copy two samples into state buffer */ + *pStateCurnt++ = *pSrc++; + + /* Set the accumulator to zero */ + acc0 = 0; + + /* Initialize state pointer of type q15 */ + px1 = pState; + + /* Initialize coeff pointer of type q31 */ + pb = pCoeffs; + + tapCnt = numTaps >> 1; + + do + { + + c0 = *__SIMD32(pb)++; + x0 = *__SIMD32(px1)++; + + acc0 = __SMLALD(x0, c0, acc0); + tapCnt--; + } + while (tapCnt > 0U); + + /* The result is in 2.30 format. Convert to 1.15 with saturation. + ** Then store the output in the destination buffer. */ + *pDst++ = (q15_t) (__SSAT((acc0 >> 15), 16)); + + /* Advance state pointer by 1 for the next sample */ + pState = pState + 1; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Processing is complete. + ** Now copy the last numTaps - 1 samples to the satrt of the state buffer. + ** This prepares the state buffer for the next function call. */ + + /* Points to the start of the state buffer */ + pStateCurnt = S->pState; + + /* Calculation of count for copying integer writes */ + tapCnt = (numTaps - 1U) >> 2; + + while (tapCnt > 0U) + { + + /* Copy state values to start of state buffer */ + *__SIMD32(pStateCurnt)++ = *__SIMD32(pState)++; + *__SIMD32(pStateCurnt)++ = *__SIMD32(pState)++; + + tapCnt--; + + } + + /* Calculation of count for remaining q15_t data */ + tapCnt = (numTaps - 1U) % 0x4U; + + /* copy remaining data */ + while (tapCnt > 0U) + { + *pStateCurnt++ = *pState++; + + /* Decrement the loop counter */ + tapCnt--; + } +} + +#else /* UNALIGNED_SUPPORT_DISABLE */ + +void arm_fir_q15( + const arm_fir_instance_q15 * S, + q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize) +{ + q15_t *pState = S->pState; /* State pointer */ + q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + q15_t *pStateCurnt; /* Points to the current sample of the state */ + q63_t acc0, acc1, acc2, acc3; /* Accumulators */ + q15_t *pb; /* Temporary pointer for coefficient buffer */ + q15_t *px; /* Temporary q31 pointer for SIMD state buffer accesses */ + q31_t x0, x1, x2, c0; /* Temporary variables to hold SIMD state and coefficient values */ + uint32_t numTaps = S->numTaps; /* Number of taps in the filter */ + uint32_t tapCnt, blkCnt; /* Loop counters */ + + + /* S->pState points to state array which contains previous frame (numTaps - 1) samples */ + /* pStateCurnt points to the location where the new input data should be written */ + pStateCurnt = &(S->pState[(numTaps - 1U)]); + + /* Apply loop unrolling and compute 4 output values simultaneously. + * The variables acc0 ... acc3 hold output values that are being computed: + * + * acc0 = b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0] + * acc1 = b[numTaps-1] * x[n-numTaps] + b[numTaps-2] * x[n-numTaps-1] + b[numTaps-3] * x[n-numTaps-2] +...+ b[0] * x[1] + * acc2 = b[numTaps-1] * x[n-numTaps+1] + b[numTaps-2] * x[n-numTaps] + b[numTaps-3] * x[n-numTaps-1] +...+ b[0] * x[2] + * acc3 = b[numTaps-1] * x[n-numTaps+2] + b[numTaps-2] * x[n-numTaps+1] + b[numTaps-3] * x[n-numTaps] +...+ b[0] * x[3] + */ + + blkCnt = blockSize >> 2; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* Copy four new input samples into the state buffer. + ** Use 32-bit SIMD to move the 16-bit data. Only requires two copies. */ + *pStateCurnt++ = *pSrc++; + *pStateCurnt++ = *pSrc++; + *pStateCurnt++ = *pSrc++; + *pStateCurnt++ = *pSrc++; + + + /* Set all accumulators to zero */ + acc0 = 0; + acc1 = 0; + acc2 = 0; + acc3 = 0; + + /* Typecast q15_t pointer to q31_t pointer for state reading in q31_t */ + px = pState; + + /* Typecast q15_t pointer to q31_t pointer for coefficient reading in q31_t */ + pb = pCoeffs; + + /* Read the first two samples from the state buffer: x[n-N], x[n-N-1] */ + x0 = *__SIMD32(px)++; + + /* Read the third and forth samples from the state buffer: x[n-N-2], x[n-N-3] */ + x2 = *__SIMD32(px)++; + + /* Loop over the number of taps. Unroll by a factor of 4. + ** Repeat until we've computed numTaps-(numTaps%4) coefficients. */ + tapCnt = numTaps >> 2; + + while (tapCnt > 0) + { + /* Read the first two coefficients using SIMD: b[N] and b[N-1] coefficients */ + c0 = *__SIMD32(pb)++; + + /* acc0 += b[N] * x[n-N] + b[N-1] * x[n-N-1] */ + acc0 = __SMLALD(x0, c0, acc0); + + /* acc2 += b[N] * x[n-N-2] + b[N-1] * x[n-N-3] */ + acc2 = __SMLALD(x2, c0, acc2); + + /* pack x[n-N-1] and x[n-N-2] */ +#ifndef ARM_MATH_BIG_ENDIAN + x1 = __PKHBT(x2, x0, 0); +#else + x1 = __PKHBT(x0, x2, 0); +#endif + + /* Read state x[n-N-4], x[n-N-5] */ + x0 = _SIMD32_OFFSET(px); + + /* acc1 += b[N] * x[n-N-1] + b[N-1] * x[n-N-2] */ + acc1 = __SMLALDX(x1, c0, acc1); + + /* pack x[n-N-3] and x[n-N-4] */ +#ifndef ARM_MATH_BIG_ENDIAN + x1 = __PKHBT(x0, x2, 0); +#else + x1 = __PKHBT(x2, x0, 0); +#endif + + /* acc3 += b[N] * x[n-N-3] + b[N-1] * x[n-N-4] */ + acc3 = __SMLALDX(x1, c0, acc3); + + /* Read coefficients b[N-2], b[N-3] */ + c0 = *__SIMD32(pb)++; + + /* acc0 += b[N-2] * x[n-N-2] + b[N-3] * x[n-N-3] */ + acc0 = __SMLALD(x2, c0, acc0); + + /* Read state x[n-N-6], x[n-N-7] with offset */ + x2 = _SIMD32_OFFSET(px + 2U); + + /* acc2 += b[N-2] * x[n-N-4] + b[N-3] * x[n-N-5] */ + acc2 = __SMLALD(x0, c0, acc2); + + /* acc1 += b[N-2] * x[n-N-3] + b[N-3] * x[n-N-4] */ + acc1 = __SMLALDX(x1, c0, acc1); + + /* pack x[n-N-5] and x[n-N-6] */ +#ifndef ARM_MATH_BIG_ENDIAN + x1 = __PKHBT(x2, x0, 0); +#else + x1 = __PKHBT(x0, x2, 0); +#endif + + /* acc3 += b[N-2] * x[n-N-5] + b[N-3] * x[n-N-6] */ + acc3 = __SMLALDX(x1, c0, acc3); + + /* Update state pointer for next state reading */ + px += 4U; + + /* Decrement tap count */ + tapCnt--; + + } + + /* If the filter length is not a multiple of 4, compute the remaining filter taps. + ** This is always be 2 taps since the filter length is even. */ + if ((numTaps & 0x3U) != 0U) + { + + /* Read last two coefficients */ + c0 = *__SIMD32(pb)++; + + /* Perform the multiply-accumulates */ + acc0 = __SMLALD(x0, c0, acc0); + acc2 = __SMLALD(x2, c0, acc2); + + /* pack state variables */ +#ifndef ARM_MATH_BIG_ENDIAN + x1 = __PKHBT(x2, x0, 0); +#else + x1 = __PKHBT(x0, x2, 0); +#endif + + /* Read last state variables */ + x0 = *__SIMD32(px); + + /* Perform the multiply-accumulates */ + acc1 = __SMLALDX(x1, c0, acc1); + + /* pack state variables */ +#ifndef ARM_MATH_BIG_ENDIAN + x1 = __PKHBT(x0, x2, 0); +#else + x1 = __PKHBT(x2, x0, 0); +#endif + + /* Perform the multiply-accumulates */ + acc3 = __SMLALDX(x1, c0, acc3); + } + + /* The results in the 4 accumulators are in 2.30 format. Convert to 1.15 with saturation. + ** Then store the 4 outputs in the destination buffer. */ + +#ifndef ARM_MATH_BIG_ENDIAN + + *__SIMD32(pDst)++ = + __PKHBT(__SSAT((acc0 >> 15), 16), __SSAT((acc1 >> 15), 16), 16); + + *__SIMD32(pDst)++ = + __PKHBT(__SSAT((acc2 >> 15), 16), __SSAT((acc3 >> 15), 16), 16); + +#else + + *__SIMD32(pDst)++ = + __PKHBT(__SSAT((acc1 >> 15), 16), __SSAT((acc0 >> 15), 16), 16); + + *__SIMD32(pDst)++ = + __PKHBT(__SSAT((acc3 >> 15), 16), __SSAT((acc2 >> 15), 16), 16); + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* Advance the state pointer by 4 to process the next group of 4 samples */ + pState = pState + 4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4U; + while (blkCnt > 0U) + { + /* Copy two samples into state buffer */ + *pStateCurnt++ = *pSrc++; + + /* Set the accumulator to zero */ + acc0 = 0; + + /* Use SIMD to hold states and coefficients */ + px = pState; + pb = pCoeffs; + + tapCnt = numTaps >> 1U; + + do + { + acc0 += (q31_t) * px++ * *pb++; + acc0 += (q31_t) * px++ * *pb++; + tapCnt--; + } + while (tapCnt > 0U); + + /* The result is in 2.30 format. Convert to 1.15 with saturation. + ** Then store the output in the destination buffer. */ + *pDst++ = (q15_t) (__SSAT((acc0 >> 15), 16)); + + /* Advance state pointer by 1 for the next sample */ + pState = pState + 1U; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Processing is complete. + ** Now copy the last numTaps - 1 samples to the satrt of the state buffer. + ** This prepares the state buffer for the next function call. */ + + /* Points to the start of the state buffer */ + pStateCurnt = S->pState; + + /* Calculation of count for copying integer writes */ + tapCnt = (numTaps - 1U) >> 2; + + while (tapCnt > 0U) + { + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + + tapCnt--; + + } + + /* Calculation of count for remaining q15_t data */ + tapCnt = (numTaps - 1U) % 0x4U; + + /* copy remaining data */ + while (tapCnt > 0U) + { + *pStateCurnt++ = *pState++; + + /* Decrement the loop counter */ + tapCnt--; + } +} + + +#endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */ + +#else /* ARM_MATH_CM0_FAMILY */ + + +/* Run the below code for Cortex-M0 */ + +void arm_fir_q15( + const arm_fir_instance_q15 * S, + q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize) +{ + q15_t *pState = S->pState; /* State pointer */ + q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + q15_t *pStateCurnt; /* Points to the current sample of the state */ + + + + q15_t *px; /* Temporary pointer for state buffer */ + q15_t *pb; /* Temporary pointer for coefficient buffer */ + q63_t acc; /* Accumulator */ + uint32_t numTaps = S->numTaps; /* Number of nTaps in the filter */ + uint32_t tapCnt, blkCnt; /* Loop counters */ + + /* S->pState buffer contains previous frame (numTaps - 1) samples */ + /* pStateCurnt points to the location where the new input data should be written */ + pStateCurnt = &(S->pState[(numTaps - 1U)]); + + /* Initialize blkCnt with blockSize */ + blkCnt = blockSize; + + while (blkCnt > 0U) + { + /* Copy one sample at a time into state buffer */ + *pStateCurnt++ = *pSrc++; + + /* Set the accumulator to zero */ + acc = 0; + + /* Initialize state pointer */ + px = pState; + + /* Initialize Coefficient pointer */ + pb = pCoeffs; + + tapCnt = numTaps; + + /* Perform the multiply-accumulates */ + do + { + /* acc = b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0] */ + acc += (q31_t) * px++ * *pb++; + tapCnt--; + } while (tapCnt > 0U); + + /* The result is in 2.30 format. Convert to 1.15 + ** Then store the output in the destination buffer. */ + *pDst++ = (q15_t) __SSAT((acc >> 15U), 16); + + /* Advance state pointer by 1 for the next sample */ + pState = pState + 1; + + /* Decrement the samples loop counter */ + blkCnt--; + } + + /* Processing is complete. + ** Now copy the last numTaps - 1 samples to the satrt of the state buffer. + ** This prepares the state buffer for the next function call. */ + + /* Points to the start of the state buffer */ + pStateCurnt = S->pState; + + /* Copy numTaps number of values */ + tapCnt = (numTaps - 1U); + + /* copy data */ + while (tapCnt > 0U) + { + *pStateCurnt++ = *pState++; + + /* Decrement the loop counter */ + tapCnt--; + } + +} + +#endif /* #if defined (ARM_MATH_DSP) */ + + + + +/** + * @} end of FIR group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_q31.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_q31.c new file mode 100644 index 0000000..b0a2723 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_q31.c @@ -0,0 +1,353 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fir_q31.c + * Description: Q31 FIR filter processing function + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupFilters + */ + +/** + * @addtogroup FIR + * @{ + */ + +/** + * @param[in] *S points to an instance of the Q31 FIR filter structure. + * @param[in] *pSrc points to the block of input data. + * @param[out] *pDst points to the block of output data. + * @param[in] blockSize number of samples to process per call. + * @return none. + * + * @details + * Scaling and Overflow Behavior: + * \par + * The function is implemented using an internal 64-bit accumulator. + * The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit. + * Thus, if the accumulator result overflows it wraps around rather than clip. + * In order to avoid overflows completely the input signal must be scaled down by log2(numTaps) bits. + * After all multiply-accumulates are performed, the 2.62 accumulator is right shifted by 31 bits and saturated to 1.31 format to yield the final result. + * + * \par + * Refer to the function arm_fir_fast_q31() for a faster but less precise implementation of this filter for Cortex-M3 and Cortex-M4. + */ + +void arm_fir_q31( + const arm_fir_instance_q31 * S, + q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize) +{ + q31_t *pState = S->pState; /* State pointer */ + q31_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + q31_t *pStateCurnt; /* Points to the current sample of the state */ + + +#if defined (ARM_MATH_DSP) + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + q31_t x0, x1, x2; /* Temporary variables to hold state */ + q31_t c0; /* Temporary variable to hold coefficient value */ + q31_t *px; /* Temporary pointer for state */ + q31_t *pb; /* Temporary pointer for coefficient buffer */ + q63_t acc0, acc1, acc2; /* Accumulators */ + uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */ + uint32_t i, tapCnt, blkCnt, tapCntN3; /* Loop counters */ + + /* S->pState points to state array which contains previous frame (numTaps - 1) samples */ + /* pStateCurnt points to the location where the new input data should be written */ + pStateCurnt = &(S->pState[(numTaps - 1U)]); + + /* Apply loop unrolling and compute 4 output values simultaneously. + * The variables acc0 ... acc3 hold output values that are being computed: + * + * acc0 = b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0] + * acc1 = b[numTaps-1] * x[n-numTaps] + b[numTaps-2] * x[n-numTaps-1] + b[numTaps-3] * x[n-numTaps-2] +...+ b[0] * x[1] + * acc2 = b[numTaps-1] * x[n-numTaps+1] + b[numTaps-2] * x[n-numTaps] + b[numTaps-3] * x[n-numTaps-1] +...+ b[0] * x[2] + * acc3 = b[numTaps-1] * x[n-numTaps+2] + b[numTaps-2] * x[n-numTaps+1] + b[numTaps-3] * x[n-numTaps] +...+ b[0] * x[3] + */ + blkCnt = blockSize / 3; + blockSize = blockSize - (3 * blkCnt); + + tapCnt = numTaps / 3; + tapCntN3 = numTaps - (3 * tapCnt); + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* Copy three new input samples into the state buffer */ + *pStateCurnt++ = *pSrc++; + *pStateCurnt++ = *pSrc++; + *pStateCurnt++ = *pSrc++; + + /* Set all accumulators to zero */ + acc0 = 0; + acc1 = 0; + acc2 = 0; + + /* Initialize state pointer */ + px = pState; + + /* Initialize coefficient pointer */ + pb = pCoeffs; + + /* Read the first two samples from the state buffer: + * x[n-numTaps], x[n-numTaps-1] */ + x0 = *(px++); + x1 = *(px++); + + /* Loop unrolling. Process 3 taps at a time. */ + i = tapCnt; + + while (i > 0U) + { + /* Read the b[numTaps] coefficient */ + c0 = *pb; + + /* Read x[n-numTaps-2] sample */ + x2 = *(px++); + + /* Perform the multiply-accumulates */ + acc0 += ((q63_t) x0 * c0); + acc1 += ((q63_t) x1 * c0); + acc2 += ((q63_t) x2 * c0); + + /* Read the coefficient and state */ + c0 = *(pb + 1U); + x0 = *(px++); + + /* Perform the multiply-accumulates */ + acc0 += ((q63_t) x1 * c0); + acc1 += ((q63_t) x2 * c0); + acc2 += ((q63_t) x0 * c0); + + /* Read the coefficient and state */ + c0 = *(pb + 2U); + x1 = *(px++); + + /* update coefficient pointer */ + pb += 3U; + + /* Perform the multiply-accumulates */ + acc0 += ((q63_t) x2 * c0); + acc1 += ((q63_t) x0 * c0); + acc2 += ((q63_t) x1 * c0); + + /* Decrement the loop counter */ + i--; + } + + /* If the filter length is not a multiple of 3, compute the remaining filter taps */ + + i = tapCntN3; + + while (i > 0U) + { + /* Read coefficients */ + c0 = *(pb++); + + /* Fetch 1 state variable */ + x2 = *(px++); + + /* Perform the multiply-accumulates */ + acc0 += ((q63_t) x0 * c0); + acc1 += ((q63_t) x1 * c0); + acc2 += ((q63_t) x2 * c0); + + /* Reuse the present sample states for next sample */ + x0 = x1; + x1 = x2; + + /* Decrement the loop counter */ + i--; + } + + /* Advance the state pointer by 3 to process the next group of 3 samples */ + pState = pState + 3; + + /* The results in the 3 accumulators are in 2.30 format. Convert to 1.31 + ** Then store the 3 outputs in the destination buffer. */ + *pDst++ = (q31_t) (acc0 >> 31U); + *pDst++ = (q31_t) (acc1 >> 31U); + *pDst++ = (q31_t) (acc2 >> 31U); + + /* Decrement the samples loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 3, compute any remaining output samples here. + ** No loop unrolling is used. */ + + while (blockSize > 0U) + { + /* Copy one sample at a time into state buffer */ + *pStateCurnt++ = *pSrc++; + + /* Set the accumulator to zero */ + acc0 = 0; + + /* Initialize state pointer */ + px = pState; + + /* Initialize Coefficient pointer */ + pb = (pCoeffs); + + i = numTaps; + + /* Perform the multiply-accumulates */ + do + { + acc0 += (q63_t) * (px++) * (*(pb++)); + i--; + } while (i > 0U); + + /* The result is in 2.62 format. Convert to 1.31 + ** Then store the output in the destination buffer. */ + *pDst++ = (q31_t) (acc0 >> 31U); + + /* Advance state pointer by 1 for the next sample */ + pState = pState + 1; + + /* Decrement the samples loop counter */ + blockSize--; + } + + /* Processing is complete. + ** Now copy the last numTaps - 1 samples to the satrt of the state buffer. + ** This prepares the state buffer for the next function call. */ + + /* Points to the start of the state buffer */ + pStateCurnt = S->pState; + + tapCnt = (numTaps - 1U) >> 2U; + + /* copy data */ + while (tapCnt > 0U) + { + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + + /* Decrement the loop counter */ + tapCnt--; + } + + /* Calculate remaining number of copies */ + tapCnt = (numTaps - 1U) % 0x4U; + + /* Copy the remaining q31_t data */ + while (tapCnt > 0U) + { + *pStateCurnt++ = *pState++; + + /* Decrement the loop counter */ + tapCnt--; + } + +#else + +/* Run the below code for Cortex-M0 */ + + q31_t *px; /* Temporary pointer for state */ + q31_t *pb; /* Temporary pointer for coefficient buffer */ + q63_t acc; /* Accumulator */ + uint32_t numTaps = S->numTaps; /* Length of the filter */ + uint32_t i, tapCnt, blkCnt; /* Loop counters */ + + /* S->pState buffer contains previous frame (numTaps - 1) samples */ + /* pStateCurnt points to the location where the new input data should be written */ + pStateCurnt = &(S->pState[(numTaps - 1U)]); + + /* Initialize blkCnt with blockSize */ + blkCnt = blockSize; + + while (blkCnt > 0U) + { + /* Copy one sample at a time into state buffer */ + *pStateCurnt++ = *pSrc++; + + /* Set the accumulator to zero */ + acc = 0; + + /* Initialize state pointer */ + px = pState; + + /* Initialize Coefficient pointer */ + pb = pCoeffs; + + i = numTaps; + + /* Perform the multiply-accumulates */ + do + { + /* acc = b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0] */ + acc += (q63_t) * px++ * *pb++; + i--; + } while (i > 0U); + + /* The result is in 2.62 format. Convert to 1.31 + ** Then store the output in the destination buffer. */ + *pDst++ = (q31_t) (acc >> 31U); + + /* Advance state pointer by 1 for the next sample */ + pState = pState + 1; + + /* Decrement the samples loop counter */ + blkCnt--; + } + + /* Processing is complete. + ** Now copy the last numTaps - 1 samples to the starting of the state buffer. + ** This prepares the state buffer for the next function call. */ + + /* Points to the start of the state buffer */ + pStateCurnt = S->pState; + + /* Copy numTaps number of values */ + tapCnt = numTaps - 1U; + + /* Copy the data */ + while (tapCnt > 0U) + { + *pStateCurnt++ = *pState++; + + /* Decrement the loop counter */ + tapCnt--; + } + + +#endif /* #if defined (ARM_MATH_DSP) */ + +} + +/** + * @} end of FIR group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_q7.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_q7.c new file mode 100644 index 0000000..4f795d7 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_q7.c @@ -0,0 +1,385 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fir_q7.c + * Description: Q7 FIR filter processing function + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupFilters + */ + +/** + * @addtogroup FIR + * @{ + */ + +/** + * @param[in] *S points to an instance of the Q7 FIR filter structure. + * @param[in] *pSrc points to the block of input data. + * @param[out] *pDst points to the block of output data. + * @param[in] blockSize number of samples to process per call. + * @return none. + * + * Scaling and Overflow Behavior: + * \par + * The function is implemented using a 32-bit internal accumulator. + * Both coefficients and state variables are represented in 1.7 format and multiplications yield a 2.14 result. + * The 2.14 intermediate results are accumulated in a 32-bit accumulator in 18.14 format. + * There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved. + * The accumulator is converted to 18.7 format by discarding the low 7 bits. + * Finally, the result is truncated to 1.7 format. + */ + +void arm_fir_q7( + const arm_fir_instance_q7 * S, + q7_t * pSrc, + q7_t * pDst, + uint32_t blockSize) +{ + +#if defined (ARM_MATH_DSP) + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + q7_t *pState = S->pState; /* State pointer */ + q7_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + q7_t *pStateCurnt; /* Points to the current sample of the state */ + q7_t x0, x1, x2, x3; /* Temporary variables to hold state */ + q7_t c0; /* Temporary variable to hold coefficient value */ + q7_t *px; /* Temporary pointer for state */ + q7_t *pb; /* Temporary pointer for coefficient buffer */ + q31_t acc0, acc1, acc2, acc3; /* Accumulators */ + uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */ + uint32_t i, tapCnt, blkCnt; /* Loop counters */ + + /* S->pState points to state array which contains previous frame (numTaps - 1) samples */ + /* pStateCurnt points to the location where the new input data should be written */ + pStateCurnt = &(S->pState[(numTaps - 1U)]); + + /* Apply loop unrolling and compute 4 output values simultaneously. + * The variables acc0 ... acc3 hold output values that are being computed: + * + * acc0 = b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0] + * acc1 = b[numTaps-1] * x[n-numTaps] + b[numTaps-2] * x[n-numTaps-1] + b[numTaps-3] * x[n-numTaps-2] +...+ b[0] * x[1] + * acc2 = b[numTaps-1] * x[n-numTaps+1] + b[numTaps-2] * x[n-numTaps] + b[numTaps-3] * x[n-numTaps-1] +...+ b[0] * x[2] + * acc3 = b[numTaps-1] * x[n-numTaps+2] + b[numTaps-2] * x[n-numTaps+1] + b[numTaps-3] * x[n-numTaps] +...+ b[0] * x[3] + */ + blkCnt = blockSize >> 2; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* Copy four new input samples into the state buffer */ + *pStateCurnt++ = *pSrc++; + *pStateCurnt++ = *pSrc++; + *pStateCurnt++ = *pSrc++; + *pStateCurnt++ = *pSrc++; + + /* Set all accumulators to zero */ + acc0 = 0; + acc1 = 0; + acc2 = 0; + acc3 = 0; + + /* Initialize state pointer */ + px = pState; + + /* Initialize coefficient pointer */ + pb = pCoeffs; + + /* Read the first three samples from the state buffer: + * x[n-numTaps], x[n-numTaps-1], x[n-numTaps-2] */ + x0 = *(px++); + x1 = *(px++); + x2 = *(px++); + + /* Loop unrolling. Process 4 taps at a time. */ + tapCnt = numTaps >> 2; + i = tapCnt; + + while (i > 0U) + { + /* Read the b[numTaps] coefficient */ + c0 = *pb; + + /* Read x[n-numTaps-3] sample */ + x3 = *px; + + /* acc0 += b[numTaps] * x[n-numTaps] */ + acc0 += ((q15_t) x0 * c0); + + /* acc1 += b[numTaps] * x[n-numTaps-1] */ + acc1 += ((q15_t) x1 * c0); + + /* acc2 += b[numTaps] * x[n-numTaps-2] */ + acc2 += ((q15_t) x2 * c0); + + /* acc3 += b[numTaps] * x[n-numTaps-3] */ + acc3 += ((q15_t) x3 * c0); + + /* Read the b[numTaps-1] coefficient */ + c0 = *(pb + 1U); + + /* Read x[n-numTaps-4] sample */ + x0 = *(px + 1U); + + /* Perform the multiply-accumulates */ + acc0 += ((q15_t) x1 * c0); + acc1 += ((q15_t) x2 * c0); + acc2 += ((q15_t) x3 * c0); + acc3 += ((q15_t) x0 * c0); + + /* Read the b[numTaps-2] coefficient */ + c0 = *(pb + 2U); + + /* Read x[n-numTaps-5] sample */ + x1 = *(px + 2U); + + /* Perform the multiply-accumulates */ + acc0 += ((q15_t) x2 * c0); + acc1 += ((q15_t) x3 * c0); + acc2 += ((q15_t) x0 * c0); + acc3 += ((q15_t) x1 * c0); + + /* Read the b[numTaps-3] coefficients */ + c0 = *(pb + 3U); + + /* Read x[n-numTaps-6] sample */ + x2 = *(px + 3U); + + /* Perform the multiply-accumulates */ + acc0 += ((q15_t) x3 * c0); + acc1 += ((q15_t) x0 * c0); + acc2 += ((q15_t) x1 * c0); + acc3 += ((q15_t) x2 * c0); + + /* update coefficient pointer */ + pb += 4U; + px += 4U; + + /* Decrement the loop counter */ + i--; + } + + /* If the filter length is not a multiple of 4, compute the remaining filter taps */ + + i = numTaps - (tapCnt * 4U); + while (i > 0U) + { + /* Read coefficients */ + c0 = *(pb++); + + /* Fetch 1 state variable */ + x3 = *(px++); + + /* Perform the multiply-accumulates */ + acc0 += ((q15_t) x0 * c0); + acc1 += ((q15_t) x1 * c0); + acc2 += ((q15_t) x2 * c0); + acc3 += ((q15_t) x3 * c0); + + /* Reuse the present sample states for next sample */ + x0 = x1; + x1 = x2; + x2 = x3; + + /* Decrement the loop counter */ + i--; + } + + /* Advance the state pointer by 4 to process the next group of 4 samples */ + pState = pState + 4; + + /* The results in the 4 accumulators are in 2.62 format. Convert to 1.31 + ** Then store the 4 outputs in the destination buffer. */ + acc0 = __SSAT((acc0 >> 7U), 8); + *pDst++ = acc0; + acc1 = __SSAT((acc1 >> 7U), 8); + *pDst++ = acc1; + acc2 = __SSAT((acc2 >> 7U), 8); + *pDst++ = acc2; + acc3 = __SSAT((acc3 >> 7U), 8); + *pDst++ = acc3; + + /* Decrement the samples loop counter */ + blkCnt--; + } + + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 4U; + + while (blkCnt > 0U) + { + /* Copy one sample at a time into state buffer */ + *pStateCurnt++ = *pSrc++; + + /* Set the accumulator to zero */ + acc0 = 0; + + /* Initialize state pointer */ + px = pState; + + /* Initialize Coefficient pointer */ + pb = (pCoeffs); + + i = numTaps; + + /* Perform the multiply-accumulates */ + do + { + acc0 += (q15_t) * (px++) * (*(pb++)); + i--; + } while (i > 0U); + + /* The result is in 2.14 format. Convert to 1.7 + ** Then store the output in the destination buffer. */ + *pDst++ = __SSAT((acc0 >> 7U), 8); + + /* Advance state pointer by 1 for the next sample */ + pState = pState + 1; + + /* Decrement the samples loop counter */ + blkCnt--; + } + + /* Processing is complete. + ** Now copy the last numTaps - 1 samples to the satrt of the state buffer. + ** This prepares the state buffer for the next function call. */ + + /* Points to the start of the state buffer */ + pStateCurnt = S->pState; + + tapCnt = (numTaps - 1U) >> 2U; + + /* copy data */ + while (tapCnt > 0U) + { + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + + /* Decrement the loop counter */ + tapCnt--; + } + + /* Calculate remaining number of copies */ + tapCnt = (numTaps - 1U) % 0x4U; + + /* Copy the remaining q31_t data */ + while (tapCnt > 0U) + { + *pStateCurnt++ = *pState++; + + /* Decrement the loop counter */ + tapCnt--; + } + +#else + +/* Run the below code for Cortex-M0 */ + + uint32_t numTaps = S->numTaps; /* Number of taps in the filter */ + uint32_t i, blkCnt; /* Loop counters */ + q7_t *pState = S->pState; /* State pointer */ + q7_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + q7_t *px, *pb; /* Temporary pointers to state and coeff */ + q31_t acc = 0; /* Accumlator */ + q7_t *pStateCurnt; /* Points to the current sample of the state */ + + + /* S->pState points to state array which contains previous frame (numTaps - 1) samples */ + /* pStateCurnt points to the location where the new input data should be written */ + pStateCurnt = S->pState + (numTaps - 1U); + + /* Initialize blkCnt with blockSize */ + blkCnt = blockSize; + + /* Perform filtering upto BlockSize - BlockSize%4 */ + while (blkCnt > 0U) + { + /* Copy one sample at a time into state buffer */ + *pStateCurnt++ = *pSrc++; + + /* Set accumulator to zero */ + acc = 0; + + /* Initialize state pointer of type q7 */ + px = pState; + + /* Initialize coeff pointer of type q7 */ + pb = pCoeffs; + + + i = numTaps; + + while (i > 0U) + { + /* acc = b[numTaps-1] * x[n-numTaps-1] + b[numTaps-2] * x[n-numTaps-2] + b[numTaps-3] * x[n-numTaps-3] +...+ b[0] * x[0] */ + acc += (q15_t) * px++ * *pb++; + i--; + } + + /* Store the 1.7 format filter output in destination buffer */ + *pDst++ = (q7_t) __SSAT((acc >> 7), 8); + + /* Advance the state pointer by 1 to process the next sample */ + pState = pState + 1; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Processing is complete. + ** Now copy the last numTaps - 1 samples to the satrt of the state buffer. + ** This prepares the state buffer for the next function call. */ + + + /* Points to the start of the state buffer */ + pStateCurnt = S->pState; + + + /* Copy numTaps number of values */ + i = (numTaps - 1U); + + /* Copy q7_t data */ + while (i > 0U) + { + *pStateCurnt++ = *pState++; + i--; + } + +#endif /* #if defined (ARM_MATH_DSP) */ + +} + +/** + * @} end of FIR group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_f32.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_f32.c new file mode 100644 index 0000000..fe9aacd --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_f32.c @@ -0,0 +1,433 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fir_sparse_f32.c + * Description: Floating-point sparse FIR filter processing function + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupFilters + */ + +/** + * @defgroup FIR_Sparse Finite Impulse Response (FIR) Sparse Filters + * + * This group of functions implements sparse FIR filters. + * Sparse FIR filters are equivalent to standard FIR filters except that most of the coefficients are equal to zero. + * Sparse filters are used for simulating reflections in communications and audio applications. + * + * There are separate functions for Q7, Q15, Q31, and floating-point data types. + * The functions operate on blocks of input and output data and each call to the function processes + * blockSize samples through the filter. pSrc and + * pDst points to input and output arrays respectively containing blockSize values. + * + * \par Algorithm: + * The sparse filter instant structure contains an array of tap indices pTapDelay which specifies the locations of the non-zero coefficients. + * This is in addition to the coefficient array b. + * The implementation essentially skips the multiplications by zero and leads to an efficient realization. + *
+ *     y[n] = b[0] * x[n-pTapDelay[0]] + b[1] * x[n-pTapDelay[1]] + b[2] * x[n-pTapDelay[2]] + ...+ b[numTaps-1] * x[n-pTapDelay[numTaps-1]]
+ * 
+ * \par + * \image html FIRSparse.gif "Sparse FIR filter. b[n] represents the filter coefficients" + * \par + * pCoeffs points to a coefficient array of size numTaps; + * pTapDelay points to an array of nonzero indices and is also of size numTaps; + * pState points to a state array of size maxDelay + blockSize, where + * maxDelay is the largest offset value that is ever used in the pTapDelay array. + * Some of the processing functions also require temporary working buffers. + * + * \par Instance Structure + * The coefficients and state variables for a filter are stored together in an instance data structure. + * A separate instance structure must be defined for each filter. + * Coefficient and offset arrays may be shared among several instances while state variable arrays cannot be shared. + * There are separate instance structure declarations for each of the 4 supported data types. + * + * \par Initialization Functions + * There is also an associated initialization function for each data type. + * The initialization function performs the following operations: + * - Sets the values of the internal structure fields. + * - Zeros out the values in the state buffer. + * To do this manually without calling the init function, assign the follow subfields of the instance structure: + * numTaps, pCoeffs, pTapDelay, maxDelay, stateIndex, pState. Also set all of the values in pState to zero. + * + * \par + * Use of the initialization function is optional. + * However, if the initialization function is used, then the instance structure cannot be placed into a const data section. + * To place an instance structure into a const data section, the instance structure must be manually initialized. + * Set the values in the state buffer to zeros before static initialization. + * The code below statically initializes each of the 4 different data type filter instance structures + *
+ *arm_fir_sparse_instance_f32 S = {numTaps, 0, pState, pCoeffs, maxDelay, pTapDelay};
+ *arm_fir_sparse_instance_q31 S = {numTaps, 0, pState, pCoeffs, maxDelay, pTapDelay};
+ *arm_fir_sparse_instance_q15 S = {numTaps, 0, pState, pCoeffs, maxDelay, pTapDelay};
+ *arm_fir_sparse_instance_q7 S =  {numTaps, 0, pState, pCoeffs, maxDelay, pTapDelay};
+ * 
+ * \par + * + * \par Fixed-Point Behavior + * Care must be taken when using the fixed-point versions of the sparse FIR filter functions. + * In particular, the overflow and saturation behavior of the accumulator used in each function must be considered. + * Refer to the function specific documentation below for usage guidelines. + */ + +/** + * @addtogroup FIR_Sparse + * @{ + */ + +/** + * @brief Processing function for the floating-point sparse FIR filter. + * @param[in] *S points to an instance of the floating-point sparse FIR structure. + * @param[in] *pSrc points to the block of input data. + * @param[out] *pDst points to the block of output data + * @param[in] *pScratchIn points to a temporary buffer of size blockSize. + * @param[in] blockSize number of input samples to process per call. + * @return none. + */ + +void arm_fir_sparse_f32( + arm_fir_sparse_instance_f32 * S, + float32_t * pSrc, + float32_t * pDst, + float32_t * pScratchIn, + uint32_t blockSize) +{ + + float32_t *pState = S->pState; /* State pointer */ + float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + float32_t *px; /* Scratch buffer pointer */ + float32_t *py = pState; /* Temporary pointers for state buffer */ + float32_t *pb = pScratchIn; /* Temporary pointers for scratch buffer */ + float32_t *pOut; /* Destination pointer */ + int32_t *pTapDelay = S->pTapDelay; /* Pointer to the array containing offset of the non-zero tap values. */ + uint32_t delaySize = S->maxDelay + blockSize; /* state length */ + uint16_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */ + int32_t readIndex; /* Read index of the state buffer */ + uint32_t tapCnt, blkCnt; /* loop counters */ + float32_t coeff = *pCoeffs++; /* Read the first coefficient value */ + + + + /* BlockSize of Input samples are copied into the state buffer */ + /* StateIndex points to the starting position to write in the state buffer */ + arm_circularWrite_f32((int32_t *) py, delaySize, &S->stateIndex, 1, + (int32_t *) pSrc, 1, blockSize); + + + /* Read Index, from where the state buffer should be read, is calculated. */ + readIndex = ((int32_t) S->stateIndex - (int32_t) blockSize) - *pTapDelay++; + + /* Wraparound of readIndex */ + if (readIndex < 0) + { + readIndex += (int32_t) delaySize; + } + + /* Working pointer for state buffer is updated */ + py = pState; + + /* blockSize samples are read from the state buffer */ + arm_circularRead_f32((int32_t *) py, delaySize, &readIndex, 1, + (int32_t *) pb, (int32_t *) pb, blockSize, 1, + blockSize); + + /* Working pointer for the scratch buffer */ + px = pb; + + /* Working pointer for destination buffer */ + pOut = pDst; + + +#if defined (ARM_MATH_DSP) + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + /* Loop over the blockSize. Unroll by a factor of 4. + * Compute 4 Multiplications at a time. */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* Perform Multiplications and store in destination buffer */ + *pOut++ = *px++ * coeff; + *pOut++ = *px++ * coeff; + *pOut++ = *px++ * coeff; + *pOut++ = *px++ * coeff; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, + * compute the remaining samples */ + blkCnt = blockSize % 0x4U; + + while (blkCnt > 0U) + { + /* Perform Multiplications and store in destination buffer */ + *pOut++ = *px++ * coeff; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Load the coefficient value and + * increment the coefficient buffer for the next set of state values */ + coeff = *pCoeffs++; + + /* Read Index, from where the state buffer should be read, is calculated. */ + readIndex = ((int32_t) S->stateIndex - (int32_t) blockSize) - *pTapDelay++; + + /* Wraparound of readIndex */ + if (readIndex < 0) + { + readIndex += (int32_t) delaySize; + } + + /* Loop over the number of taps. */ + tapCnt = (uint32_t) numTaps - 2U; + + while (tapCnt > 0U) + { + + /* Working pointer for state buffer is updated */ + py = pState; + + /* blockSize samples are read from the state buffer */ + arm_circularRead_f32((int32_t *) py, delaySize, &readIndex, 1, + (int32_t *) pb, (int32_t *) pb, blockSize, 1, + blockSize); + + /* Working pointer for the scratch buffer */ + px = pb; + + /* Working pointer for destination buffer */ + pOut = pDst; + + /* Loop over the blockSize. Unroll by a factor of 4. + * Compute 4 MACS at a time. */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* Perform Multiply-Accumulate */ + *pOut++ += *px++ * coeff; + *pOut++ += *px++ * coeff; + *pOut++ += *px++ * coeff; + *pOut++ += *px++ * coeff; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, + * compute the remaining samples */ + blkCnt = blockSize % 0x4U; + + while (blkCnt > 0U) + { + /* Perform Multiply-Accumulate */ + *pOut++ += *px++ * coeff; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Load the coefficient value and + * increment the coefficient buffer for the next set of state values */ + coeff = *pCoeffs++; + + /* Read Index, from where the state buffer should be read, is calculated. */ + readIndex = ((int32_t) S->stateIndex - + (int32_t) blockSize) - *pTapDelay++; + + /* Wraparound of readIndex */ + if (readIndex < 0) + { + readIndex += (int32_t) delaySize; + } + + /* Decrement the tap loop counter */ + tapCnt--; + } + + /* Compute last tap without the final read of pTapDelay */ + + /* Working pointer for state buffer is updated */ + py = pState; + + /* blockSize samples are read from the state buffer */ + arm_circularRead_f32((int32_t *) py, delaySize, &readIndex, 1, + (int32_t *) pb, (int32_t *) pb, blockSize, 1, + blockSize); + + /* Working pointer for the scratch buffer */ + px = pb; + + /* Working pointer for destination buffer */ + pOut = pDst; + + /* Loop over the blockSize. Unroll by a factor of 4. + * Compute 4 MACS at a time. */ + blkCnt = blockSize >> 2U; + + while (blkCnt > 0U) + { + /* Perform Multiply-Accumulate */ + *pOut++ += *px++ * coeff; + *pOut++ += *px++ * coeff; + *pOut++ += *px++ * coeff; + *pOut++ += *px++ * coeff; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, + * compute the remaining samples */ + blkCnt = blockSize % 0x4U; + + while (blkCnt > 0U) + { + /* Perform Multiply-Accumulate */ + *pOut++ += *px++ * coeff; + + /* Decrement the loop counter */ + blkCnt--; + } + +#else + +/* Run the below code for Cortex-M0 */ + + blkCnt = blockSize; + + while (blkCnt > 0U) + { + /* Perform Multiplications and store in destination buffer */ + *pOut++ = *px++ * coeff; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Load the coefficient value and + * increment the coefficient buffer for the next set of state values */ + coeff = *pCoeffs++; + + /* Read Index, from where the state buffer should be read, is calculated. */ + readIndex = ((int32_t) S->stateIndex - (int32_t) blockSize) - *pTapDelay++; + + /* Wraparound of readIndex */ + if (readIndex < 0) + { + readIndex += (int32_t) delaySize; + } + + /* Loop over the number of taps. */ + tapCnt = (uint32_t) numTaps - 2U; + + while (tapCnt > 0U) + { + + /* Working pointer for state buffer is updated */ + py = pState; + + /* blockSize samples are read from the state buffer */ + arm_circularRead_f32((int32_t *) py, delaySize, &readIndex, 1, + (int32_t *) pb, (int32_t *) pb, blockSize, 1, + blockSize); + + /* Working pointer for the scratch buffer */ + px = pb; + + /* Working pointer for destination buffer */ + pOut = pDst; + + blkCnt = blockSize; + + while (blkCnt > 0U) + { + /* Perform Multiply-Accumulate */ + *pOut++ += *px++ * coeff; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Load the coefficient value and + * increment the coefficient buffer for the next set of state values */ + coeff = *pCoeffs++; + + /* Read Index, from where the state buffer should be read, is calculated. */ + readIndex = + ((int32_t) S->stateIndex - (int32_t) blockSize) - *pTapDelay++; + + /* Wraparound of readIndex */ + if (readIndex < 0) + { + readIndex += (int32_t) delaySize; + } + + /* Decrement the tap loop counter */ + tapCnt--; + } + + /* Compute last tap without the final read of pTapDelay */ + + /* Working pointer for state buffer is updated */ + py = pState; + + /* blockSize samples are read from the state buffer */ + arm_circularRead_f32((int32_t *) py, delaySize, &readIndex, 1, + (int32_t *) pb, (int32_t *) pb, blockSize, 1, + blockSize); + + /* Working pointer for the scratch buffer */ + px = pb; + + /* Working pointer for destination buffer */ + pOut = pDst; + + blkCnt = blockSize; + + while (blkCnt > 0U) + { + /* Perform Multiply-Accumulate */ + *pOut++ += *px++ * coeff; + + /* Decrement the loop counter */ + blkCnt--; + } + +#endif /* #if defined (ARM_MATH_DSP) */ + +} + +/** + * @} end of FIR_Sparse group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_init_f32.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_init_f32.c new file mode 100644 index 0000000..191f8bb --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_init_f32.c @@ -0,0 +1,95 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fir_sparse_init_f32.c + * Description: Floating-point sparse FIR filter initialization function + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupFilters + */ + +/** + * @addtogroup FIR_Sparse + * @{ + */ + +/** + * @brief Initialization function for the floating-point sparse FIR filter. + * @param[in,out] *S points to an instance of the floating-point sparse FIR structure. + * @param[in] numTaps number of nonzero coefficients in the filter. + * @param[in] *pCoeffs points to the array of filter coefficients. + * @param[in] *pState points to the state buffer. + * @param[in] *pTapDelay points to the array of offset times. + * @param[in] maxDelay maximum offset time supported. + * @param[in] blockSize number of samples that will be processed per block. + * @return none + * + * Description: + * \par + * pCoeffs holds the filter coefficients and has length numTaps. + * pState holds the filter's state variables and must be of length + * maxDelay + blockSize, where maxDelay + * is the maximum number of delay line values. + * blockSize is the + * number of samples processed by the arm_fir_sparse_f32() function. + */ + +void arm_fir_sparse_init_f32( + arm_fir_sparse_instance_f32 * S, + uint16_t numTaps, + float32_t * pCoeffs, + float32_t * pState, + int32_t * pTapDelay, + uint16_t maxDelay, + uint32_t blockSize) +{ + /* Assign filter taps */ + S->numTaps = numTaps; + + /* Assign coefficient pointer */ + S->pCoeffs = pCoeffs; + + /* Assign TapDelay pointer */ + S->pTapDelay = pTapDelay; + + /* Assign MaxDelay */ + S->maxDelay = maxDelay; + + /* reset the stateIndex to 0 */ + S->stateIndex = 0U; + + /* Clear state buffer and size is always maxDelay + blockSize */ + memset(pState, 0, (maxDelay + blockSize) * sizeof(float32_t)); + + /* Assign state pointer */ + S->pState = pState; + +} + +/** + * @} end of FIR_Sparse group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_init_q15.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_init_q15.c new file mode 100644 index 0000000..297c5fa --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_init_q15.c @@ -0,0 +1,95 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fir_sparse_init_q15.c + * Description: Q15 sparse FIR filter initialization function + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupFilters + */ + +/** + * @addtogroup FIR_Sparse + * @{ + */ + +/** + * @brief Initialization function for the Q15 sparse FIR filter. + * @param[in,out] *S points to an instance of the Q15 sparse FIR structure. + * @param[in] numTaps number of nonzero coefficients in the filter. + * @param[in] *pCoeffs points to the array of filter coefficients. + * @param[in] *pState points to the state buffer. + * @param[in] *pTapDelay points to the array of offset times. + * @param[in] maxDelay maximum offset time supported. + * @param[in] blockSize number of samples that will be processed per block. + * @return none + * + * Description: + * \par + * pCoeffs holds the filter coefficients and has length numTaps. + * pState holds the filter's state variables and must be of length + * maxDelay + blockSize, where maxDelay + * is the maximum number of delay line values. + * blockSize is the + * number of words processed by arm_fir_sparse_q15() function. + */ + +void arm_fir_sparse_init_q15( + arm_fir_sparse_instance_q15 * S, + uint16_t numTaps, + q15_t * pCoeffs, + q15_t * pState, + int32_t * pTapDelay, + uint16_t maxDelay, + uint32_t blockSize) +{ + /* Assign filter taps */ + S->numTaps = numTaps; + + /* Assign coefficient pointer */ + S->pCoeffs = pCoeffs; + + /* Assign TapDelay pointer */ + S->pTapDelay = pTapDelay; + + /* Assign MaxDelay */ + S->maxDelay = maxDelay; + + /* reset the stateIndex to 0 */ + S->stateIndex = 0U; + + /* Clear state buffer and size is always maxDelay + blockSize */ + memset(pState, 0, (maxDelay + blockSize) * sizeof(q15_t)); + + /* Assign state pointer */ + S->pState = pState; + +} + +/** + * @} end of FIR_Sparse group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_init_q31.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_init_q31.c new file mode 100644 index 0000000..3eb8d47 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_init_q31.c @@ -0,0 +1,94 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fir_sparse_init_q31.c + * Description: Q31 sparse FIR filter initialization function + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupFilters + */ + +/** + * @addtogroup FIR_Sparse + * @{ + */ + +/** + * @brief Initialization function for the Q31 sparse FIR filter. + * @param[in,out] *S points to an instance of the Q31 sparse FIR structure. + * @param[in] numTaps number of nonzero coefficients in the filter. + * @param[in] *pCoeffs points to the array of filter coefficients. + * @param[in] *pState points to the state buffer. + * @param[in] *pTapDelay points to the array of offset times. + * @param[in] maxDelay maximum offset time supported. + * @param[in] blockSize number of samples that will be processed per block. + * @return none + * + * Description: + * \par + * pCoeffs holds the filter coefficients and has length numTaps. + * pState holds the filter's state variables and must be of length + * maxDelay + blockSize, where maxDelay + * is the maximum number of delay line values. + * blockSize is the number of words processed by arm_fir_sparse_q31() function. + */ + +void arm_fir_sparse_init_q31( + arm_fir_sparse_instance_q31 * S, + uint16_t numTaps, + q31_t * pCoeffs, + q31_t * pState, + int32_t * pTapDelay, + uint16_t maxDelay, + uint32_t blockSize) +{ + /* Assign filter taps */ + S->numTaps = numTaps; + + /* Assign coefficient pointer */ + S->pCoeffs = pCoeffs; + + /* Assign TapDelay pointer */ + S->pTapDelay = pTapDelay; + + /* Assign MaxDelay */ + S->maxDelay = maxDelay; + + /* reset the stateIndex to 0 */ + S->stateIndex = 0U; + + /* Clear state buffer and size is always maxDelay + blockSize */ + memset(pState, 0, (maxDelay + blockSize) * sizeof(q31_t)); + + /* Assign state pointer */ + S->pState = pState; + +} + +/** + * @} end of FIR_Sparse group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_init_q7.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_init_q7.c new file mode 100644 index 0000000..c2cb7b0 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_init_q7.c @@ -0,0 +1,95 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fir_sparse_init_q7.c + * Description: Q7 sparse FIR filter initialization function + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupFilters + */ + +/** + * @addtogroup FIR_Sparse + * @{ + */ + +/** + * @brief Initialization function for the Q7 sparse FIR filter. + * @param[in,out] *S points to an instance of the Q7 sparse FIR structure. + * @param[in] numTaps number of nonzero coefficients in the filter. + * @param[in] *pCoeffs points to the array of filter coefficients. + * @param[in] *pState points to the state buffer. + * @param[in] *pTapDelay points to the array of offset times. + * @param[in] maxDelay maximum offset time supported. + * @param[in] blockSize number of samples that will be processed per block. + * @return none + * + * Description: + * \par + * pCoeffs holds the filter coefficients and has length numTaps. + * pState holds the filter's state variables and must be of length + * maxDelay + blockSize, where maxDelay + * is the maximum number of delay line values. + * blockSize is the + * number of samples processed by the arm_fir_sparse_q7() function. + */ + +void arm_fir_sparse_init_q7( + arm_fir_sparse_instance_q7 * S, + uint16_t numTaps, + q7_t * pCoeffs, + q7_t * pState, + int32_t * pTapDelay, + uint16_t maxDelay, + uint32_t blockSize) +{ + /* Assign filter taps */ + S->numTaps = numTaps; + + /* Assign coefficient pointer */ + S->pCoeffs = pCoeffs; + + /* Assign TapDelay pointer */ + S->pTapDelay = pTapDelay; + + /* Assign MaxDelay */ + S->maxDelay = maxDelay; + + /* reset the stateIndex to 0 */ + S->stateIndex = 0U; + + /* Clear state buffer and size is always maxDelay + blockSize */ + memset(pState, 0, (maxDelay + blockSize) * sizeof(q7_t)); + + /* Assign state pointer */ + S->pState = pState; + +} + +/** + * @} end of FIR_Sparse group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_q15.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_q15.c new file mode 100644 index 0000000..663b6e0 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_q15.c @@ -0,0 +1,470 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fir_sparse_q15.c + * Description: Q15 sparse FIR filter processing function + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @addtogroup FIR_Sparse + * @{ + */ + +/** + * @brief Processing function for the Q15 sparse FIR filter. + * @param[in] *S points to an instance of the Q15 sparse FIR structure. + * @param[in] *pSrc points to the block of input data. + * @param[out] *pDst points to the block of output data + * @param[in] *pScratchIn points to a temporary buffer of size blockSize. + * @param[in] *pScratchOut points to a temporary buffer of size blockSize. + * @param[in] blockSize number of input samples to process per call. + * @return none. + * + * Scaling and Overflow Behavior: + * \par + * The function is implemented using an internal 32-bit accumulator. + * The 1.15 x 1.15 multiplications yield a 2.30 result and these are added to a 2.30 accumulator. + * Thus the full precision of the multiplications is maintained but there is only a single guard bit in the accumulator. + * If the accumulator result overflows it will wrap around rather than saturate. + * After all multiply-accumulates are performed, the 2.30 accumulator is truncated to 2.15 format and then saturated to 1.15 format. + * In order to avoid overflows the input signal or coefficients must be scaled down by log2(numTaps) bits. + */ + + +void arm_fir_sparse_q15( + arm_fir_sparse_instance_q15 * S, + q15_t * pSrc, + q15_t * pDst, + q15_t * pScratchIn, + q31_t * pScratchOut, + uint32_t blockSize) +{ + + q15_t *pState = S->pState; /* State pointer */ + q15_t *pIn = pSrc; /* Working pointer for input */ + q15_t *pOut = pDst; /* Working pointer for output */ + q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + q15_t *px; /* Temporary pointers for scratch buffer */ + q15_t *pb = pScratchIn; /* Temporary pointers for scratch buffer */ + q15_t *py = pState; /* Temporary pointers for state buffer */ + int32_t *pTapDelay = S->pTapDelay; /* Pointer to the array containing offset of the non-zero tap values. */ + uint32_t delaySize = S->maxDelay + blockSize; /* state length */ + uint16_t numTaps = S->numTaps; /* Filter order */ + int32_t readIndex; /* Read index of the state buffer */ + uint32_t tapCnt, blkCnt; /* loop counters */ + q15_t coeff = *pCoeffs++; /* Read the first coefficient value */ + q31_t *pScr2 = pScratchOut; /* Working pointer for pScratchOut */ + + +#if defined (ARM_MATH_DSP) + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + q31_t in1, in2; /* Temporary variables */ + + + /* BlockSize of Input samples are copied into the state buffer */ + /* StateIndex points to the starting position to write in the state buffer */ + arm_circularWrite_q15(py, delaySize, &S->stateIndex, 1, pIn, 1, blockSize); + + /* Loop over the number of taps. */ + tapCnt = numTaps; + + /* Read Index, from where the state buffer should be read, is calculated. */ + readIndex = (S->stateIndex - blockSize) - *pTapDelay++; + + /* Wraparound of readIndex */ + if (readIndex < 0) + { + readIndex += (int32_t) delaySize; + } + + /* Working pointer for state buffer is updated */ + py = pState; + + /* blockSize samples are read from the state buffer */ + arm_circularRead_q15(py, delaySize, &readIndex, 1, + pb, pb, blockSize, 1, blockSize); + + /* Working pointer for the scratch buffer of state values */ + px = pb; + + /* Working pointer for scratch buffer of output values */ + pScratchOut = pScr2; + + /* Loop over the blockSize. Unroll by a factor of 4. + * Compute 4 multiplications at a time. */ + blkCnt = blockSize >> 2; + + while (blkCnt > 0U) + { + /* Perform multiplication and store in the scratch buffer */ + *pScratchOut++ = ((q31_t) * px++ * coeff); + *pScratchOut++ = ((q31_t) * px++ * coeff); + *pScratchOut++ = ((q31_t) * px++ * coeff); + *pScratchOut++ = ((q31_t) * px++ * coeff); + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, + * compute the remaining samples */ + blkCnt = blockSize % 0x4U; + + while (blkCnt > 0U) + { + /* Perform multiplication and store in the scratch buffer */ + *pScratchOut++ = ((q31_t) * px++ * coeff); + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Load the coefficient value and + * increment the coefficient buffer for the next set of state values */ + coeff = *pCoeffs++; + + /* Read Index, from where the state buffer should be read, is calculated. */ + readIndex = (S->stateIndex - blockSize) - *pTapDelay++; + + /* Wraparound of readIndex */ + if (readIndex < 0) + { + readIndex += (int32_t) delaySize; + } + + /* Loop over the number of taps. */ + tapCnt = (uint32_t) numTaps - 2U; + + while (tapCnt > 0U) + { + /* Working pointer for state buffer is updated */ + py = pState; + + /* blockSize samples are read from the state buffer */ + arm_circularRead_q15(py, delaySize, &readIndex, 1, + pb, pb, blockSize, 1, blockSize); + + /* Working pointer for the scratch buffer of state values */ + px = pb; + + /* Working pointer for scratch buffer of output values */ + pScratchOut = pScr2; + + /* Loop over the blockSize. Unroll by a factor of 4. + * Compute 4 MACS at a time. */ + blkCnt = blockSize >> 2; + + while (blkCnt > 0U) + { + /* Perform Multiply-Accumulate */ + *pScratchOut++ += (q31_t) * px++ * coeff; + *pScratchOut++ += (q31_t) * px++ * coeff; + *pScratchOut++ += (q31_t) * px++ * coeff; + *pScratchOut++ += (q31_t) * px++ * coeff; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, + * compute the remaining samples */ + blkCnt = blockSize % 0x4U; + + while (blkCnt > 0U) + { + /* Perform Multiply-Accumulate */ + *pScratchOut++ += (q31_t) * px++ * coeff; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Load the coefficient value and + * increment the coefficient buffer for the next set of state values */ + coeff = *pCoeffs++; + + /* Read Index, from where the state buffer should be read, is calculated. */ + readIndex = (S->stateIndex - blockSize) - *pTapDelay++; + + /* Wraparound of readIndex */ + if (readIndex < 0) + { + readIndex += (int32_t) delaySize; + } + + /* Decrement the tap loop counter */ + tapCnt--; + } + + /* Compute last tap without the final read of pTapDelay */ + + /* Working pointer for state buffer is updated */ + py = pState; + + /* blockSize samples are read from the state buffer */ + arm_circularRead_q15(py, delaySize, &readIndex, 1, + pb, pb, blockSize, 1, blockSize); + + /* Working pointer for the scratch buffer of state values */ + px = pb; + + /* Working pointer for scratch buffer of output values */ + pScratchOut = pScr2; + + /* Loop over the blockSize. Unroll by a factor of 4. + * Compute 4 MACS at a time. */ + blkCnt = blockSize >> 2; + + while (blkCnt > 0U) + { + /* Perform Multiply-Accumulate */ + *pScratchOut++ += (q31_t) * px++ * coeff; + *pScratchOut++ += (q31_t) * px++ * coeff; + *pScratchOut++ += (q31_t) * px++ * coeff; + *pScratchOut++ += (q31_t) * px++ * coeff; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, + * compute the remaining samples */ + blkCnt = blockSize % 0x4U; + + while (blkCnt > 0U) + { + /* Perform Multiply-Accumulate */ + *pScratchOut++ += (q31_t) * px++ * coeff; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* All the output values are in pScratchOut buffer. + Convert them into 1.15 format, saturate and store in the destination buffer. */ + /* Loop over the blockSize. */ + blkCnt = blockSize >> 2; + + while (blkCnt > 0U) + { + in1 = *pScr2++; + in2 = *pScr2++; + +#ifndef ARM_MATH_BIG_ENDIAN + + *__SIMD32(pOut)++ = + __PKHBT((q15_t) __SSAT(in1 >> 15, 16), (q15_t) __SSAT(in2 >> 15, 16), + 16); + +#else + *__SIMD32(pOut)++ = + __PKHBT((q15_t) __SSAT(in2 >> 15, 16), (q15_t) __SSAT(in1 >> 15, 16), + 16); + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + in1 = *pScr2++; + + in2 = *pScr2++; + +#ifndef ARM_MATH_BIG_ENDIAN + + *__SIMD32(pOut)++ = + __PKHBT((q15_t) __SSAT(in1 >> 15, 16), (q15_t) __SSAT(in2 >> 15, 16), + 16); + +#else + + *__SIMD32(pOut)++ = + __PKHBT((q15_t) __SSAT(in2 >> 15, 16), (q15_t) __SSAT(in1 >> 15, 16), + 16); + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + + blkCnt--; + + } + + /* If the blockSize is not a multiple of 4, + remaining samples are processed in the below loop */ + blkCnt = blockSize % 0x4U; + + while (blkCnt > 0U) + { + *pOut++ = (q15_t) __SSAT(*pScr2++ >> 15, 16); + blkCnt--; + } + +#else + + /* Run the below code for Cortex-M0 */ + + /* BlockSize of Input samples are copied into the state buffer */ + /* StateIndex points to the starting position to write in the state buffer */ + arm_circularWrite_q15(py, delaySize, &S->stateIndex, 1, pIn, 1, blockSize); + + /* Loop over the number of taps. */ + tapCnt = numTaps; + + /* Read Index, from where the state buffer should be read, is calculated. */ + readIndex = (S->stateIndex - blockSize) - *pTapDelay++; + + /* Wraparound of readIndex */ + if (readIndex < 0) + { + readIndex += (int32_t) delaySize; + } + + /* Working pointer for state buffer is updated */ + py = pState; + + /* blockSize samples are read from the state buffer */ + arm_circularRead_q15(py, delaySize, &readIndex, 1, + pb, pb, blockSize, 1, blockSize); + + /* Working pointer for the scratch buffer of state values */ + px = pb; + + /* Working pointer for scratch buffer of output values */ + pScratchOut = pScr2; + + blkCnt = blockSize; + + while (blkCnt > 0U) + { + /* Perform multiplication and store in the scratch buffer */ + *pScratchOut++ = ((q31_t) * px++ * coeff); + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Load the coefficient value and + * increment the coefficient buffer for the next set of state values */ + coeff = *pCoeffs++; + + /* Read Index, from where the state buffer should be read, is calculated. */ + readIndex = (S->stateIndex - blockSize) - *pTapDelay++; + + /* Wraparound of readIndex */ + if (readIndex < 0) + { + readIndex += (int32_t) delaySize; + } + + /* Loop over the number of taps. */ + tapCnt = (uint32_t) numTaps - 2U; + + while (tapCnt > 0U) + { + /* Working pointer for state buffer is updated */ + py = pState; + + /* blockSize samples are read from the state buffer */ + arm_circularRead_q15(py, delaySize, &readIndex, 1, + pb, pb, blockSize, 1, blockSize); + + /* Working pointer for the scratch buffer of state values */ + px = pb; + + /* Working pointer for scratch buffer of output values */ + pScratchOut = pScr2; + + blkCnt = blockSize; + + while (blkCnt > 0U) + { + /* Perform Multiply-Accumulate */ + *pScratchOut++ += (q31_t) * px++ * coeff; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Load the coefficient value and + * increment the coefficient buffer for the next set of state values */ + coeff = *pCoeffs++; + + /* Read Index, from where the state buffer should be read, is calculated. */ + readIndex = (S->stateIndex - blockSize) - *pTapDelay++; + + /* Wraparound of readIndex */ + if (readIndex < 0) + { + readIndex += (int32_t) delaySize; + } + + /* Decrement the tap loop counter */ + tapCnt--; + } + + /* Compute last tap without the final read of pTapDelay */ + + /* Working pointer for state buffer is updated */ + py = pState; + + /* blockSize samples are read from the state buffer */ + arm_circularRead_q15(py, delaySize, &readIndex, 1, + pb, pb, blockSize, 1, blockSize); + + /* Working pointer for the scratch buffer of state values */ + px = pb; + + /* Working pointer for scratch buffer of output values */ + pScratchOut = pScr2; + + blkCnt = blockSize; + + while (blkCnt > 0U) + { + /* Perform Multiply-Accumulate */ + *pScratchOut++ += (q31_t) * px++ * coeff; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* All the output values are in pScratchOut buffer. + Convert them into 1.15 format, saturate and store in the destination buffer. */ + /* Loop over the blockSize. */ + blkCnt = blockSize; + + while (blkCnt > 0U) + { + *pOut++ = (q15_t) __SSAT(*pScr2++ >> 15, 16); + blkCnt--; + } + +#endif /* #if defined (ARM_MATH_DSP) */ + +} + +/** + * @} end of FIR_Sparse group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_q31.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_q31.c new file mode 100644 index 0000000..3fd3da0 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_q31.c @@ -0,0 +1,450 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fir_sparse_q31.c + * Description: Q31 sparse FIR filter processing function + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + + +/** + * @addtogroup FIR_Sparse + * @{ + */ + +/** + * @brief Processing function for the Q31 sparse FIR filter. + * @param[in] *S points to an instance of the Q31 sparse FIR structure. + * @param[in] *pSrc points to the block of input data. + * @param[out] *pDst points to the block of output data + * @param[in] *pScratchIn points to a temporary buffer of size blockSize. + * @param[in] blockSize number of input samples to process per call. + * @return none. + * + * Scaling and Overflow Behavior: + * \par + * The function is implemented using an internal 32-bit accumulator. + * The 1.31 x 1.31 multiplications are truncated to 2.30 format. + * This leads to loss of precision on the intermediate multiplications and provides only a single guard bit. + * If the accumulator result overflows, it wraps around rather than saturate. + * In order to avoid overflows the input signal or coefficients must be scaled down by log2(numTaps) bits. + */ + +void arm_fir_sparse_q31( + arm_fir_sparse_instance_q31 * S, + q31_t * pSrc, + q31_t * pDst, + q31_t * pScratchIn, + uint32_t blockSize) +{ + + q31_t *pState = S->pState; /* State pointer */ + q31_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + q31_t *px; /* Scratch buffer pointer */ + q31_t *py = pState; /* Temporary pointers for state buffer */ + q31_t *pb = pScratchIn; /* Temporary pointers for scratch buffer */ + q31_t *pOut; /* Destination pointer */ + q63_t out; /* Temporary output variable */ + int32_t *pTapDelay = S->pTapDelay; /* Pointer to the array containing offset of the non-zero tap values. */ + uint32_t delaySize = S->maxDelay + blockSize; /* state length */ + uint16_t numTaps = S->numTaps; /* Filter order */ + int32_t readIndex; /* Read index of the state buffer */ + uint32_t tapCnt, blkCnt; /* loop counters */ + q31_t coeff = *pCoeffs++; /* Read the first coefficient value */ + q31_t in; + + + /* BlockSize of Input samples are copied into the state buffer */ + /* StateIndex points to the starting position to write in the state buffer */ + arm_circularWrite_f32((int32_t *) py, delaySize, &S->stateIndex, 1, + (int32_t *) pSrc, 1, blockSize); + + /* Read Index, from where the state buffer should be read, is calculated. */ + readIndex = (int32_t) (S->stateIndex - blockSize) - *pTapDelay++; + + /* Wraparound of readIndex */ + if (readIndex < 0) + { + readIndex += (int32_t) delaySize; + } + + /* Working pointer for state buffer is updated */ + py = pState; + + /* blockSize samples are read from the state buffer */ + arm_circularRead_f32((int32_t *) py, delaySize, &readIndex, 1, + (int32_t *) pb, (int32_t *) pb, blockSize, 1, + blockSize); + + /* Working pointer for the scratch buffer of state values */ + px = pb; + + /* Working pointer for scratch buffer of output values */ + pOut = pDst; + + +#if defined (ARM_MATH_DSP) + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + /* Loop over the blockSize. Unroll by a factor of 4. + * Compute 4 Multiplications at a time. */ + blkCnt = blockSize >> 2; + + while (blkCnt > 0U) + { + /* Perform Multiplications and store in the destination buffer */ + *pOut++ = (q31_t) (((q63_t) * px++ * coeff) >> 32); + *pOut++ = (q31_t) (((q63_t) * px++ * coeff) >> 32); + *pOut++ = (q31_t) (((q63_t) * px++ * coeff) >> 32); + *pOut++ = (q31_t) (((q63_t) * px++ * coeff) >> 32); + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, + * compute the remaining samples */ + blkCnt = blockSize % 0x4U; + + while (blkCnt > 0U) + { + /* Perform Multiplications and store in the destination buffer */ + *pOut++ = (q31_t) (((q63_t) * px++ * coeff) >> 32); + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Load the coefficient value and + * increment the coefficient buffer for the next set of state values */ + coeff = *pCoeffs++; + + /* Read Index, from where the state buffer should be read, is calculated. */ + readIndex = (int32_t) (S->stateIndex - blockSize) - *pTapDelay++; + + /* Wraparound of readIndex */ + if (readIndex < 0) + { + readIndex += (int32_t) delaySize; + } + + /* Loop over the number of taps. */ + tapCnt = (uint32_t) numTaps - 2U; + + while (tapCnt > 0U) + { + /* Working pointer for state buffer is updated */ + py = pState; + + /* blockSize samples are read from the state buffer */ + arm_circularRead_f32((int32_t *) py, delaySize, &readIndex, 1, + (int32_t *) pb, (int32_t *) pb, blockSize, 1, + blockSize); + + /* Working pointer for the scratch buffer of state values */ + px = pb; + + /* Working pointer for scratch buffer of output values */ + pOut = pDst; + + /* Loop over the blockSize. Unroll by a factor of 4. + * Compute 4 MACS at a time. */ + blkCnt = blockSize >> 2; + + while (blkCnt > 0U) + { + out = *pOut; + out += ((q63_t) * px++ * coeff) >> 32; + *pOut++ = (q31_t) (out); + + out = *pOut; + out += ((q63_t) * px++ * coeff) >> 32; + *pOut++ = (q31_t) (out); + + out = *pOut; + out += ((q63_t) * px++ * coeff) >> 32; + *pOut++ = (q31_t) (out); + + out = *pOut; + out += ((q63_t) * px++ * coeff) >> 32; + *pOut++ = (q31_t) (out); + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, + * compute the remaining samples */ + blkCnt = blockSize % 0x4U; + + while (blkCnt > 0U) + { + /* Perform Multiply-Accumulate */ + out = *pOut; + out += ((q63_t) * px++ * coeff) >> 32; + *pOut++ = (q31_t) (out); + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Load the coefficient value and + * increment the coefficient buffer for the next set of state values */ + coeff = *pCoeffs++; + + /* Read Index, from where the state buffer should be read, is calculated. */ + readIndex = (int32_t) (S->stateIndex - blockSize) - *pTapDelay++; + + /* Wraparound of readIndex */ + if (readIndex < 0) + { + readIndex += (int32_t) delaySize; + } + + /* Decrement the tap loop counter */ + tapCnt--; + } + + /* Compute last tap without the final read of pTapDelay */ + + /* Working pointer for state buffer is updated */ + py = pState; + + /* blockSize samples are read from the state buffer */ + arm_circularRead_f32((int32_t *) py, delaySize, &readIndex, 1, + (int32_t *) pb, (int32_t *) pb, blockSize, 1, + blockSize); + + /* Working pointer for the scratch buffer of state values */ + px = pb; + + /* Working pointer for scratch buffer of output values */ + pOut = pDst; + + /* Loop over the blockSize. Unroll by a factor of 4. + * Compute 4 MACS at a time. */ + blkCnt = blockSize >> 2; + + while (blkCnt > 0U) + { + out = *pOut; + out += ((q63_t) * px++ * coeff) >> 32; + *pOut++ = (q31_t) (out); + + out = *pOut; + out += ((q63_t) * px++ * coeff) >> 32; + *pOut++ = (q31_t) (out); + + out = *pOut; + out += ((q63_t) * px++ * coeff) >> 32; + *pOut++ = (q31_t) (out); + + out = *pOut; + out += ((q63_t) * px++ * coeff) >> 32; + *pOut++ = (q31_t) (out); + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, + * compute the remaining samples */ + blkCnt = blockSize % 0x4U; + + while (blkCnt > 0U) + { + /* Perform Multiply-Accumulate */ + out = *pOut; + out += ((q63_t) * px++ * coeff) >> 32; + *pOut++ = (q31_t) (out); + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Working output pointer is updated */ + pOut = pDst; + + /* Output is converted into 1.31 format. */ + /* Loop over the blockSize. Unroll by a factor of 4. + * process 4 output samples at a time. */ + blkCnt = blockSize >> 2; + + while (blkCnt > 0U) + { + in = *pOut << 1; + *pOut++ = in; + in = *pOut << 1; + *pOut++ = in; + in = *pOut << 1; + *pOut++ = in; + in = *pOut << 1; + *pOut++ = in; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, + * process the remaining output samples */ + blkCnt = blockSize % 0x4U; + + while (blkCnt > 0U) + { + in = *pOut << 1; + *pOut++ = in; + + /* Decrement the loop counter */ + blkCnt--; + } + +#else + + /* Run the below code for Cortex-M0 */ + blkCnt = blockSize; + + while (blkCnt > 0U) + { + /* Perform Multiplications and store in the destination buffer */ + *pOut++ = (q31_t) (((q63_t) * px++ * coeff) >> 32); + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Load the coefficient value and + * increment the coefficient buffer for the next set of state values */ + coeff = *pCoeffs++; + + /* Read Index, from where the state buffer should be read, is calculated. */ + readIndex = (int32_t) (S->stateIndex - blockSize) - *pTapDelay++; + + /* Wraparound of readIndex */ + if (readIndex < 0) + { + readIndex += (int32_t) delaySize; + } + + /* Loop over the number of taps. */ + tapCnt = (uint32_t) numTaps - 2U; + + while (tapCnt > 0U) + { + /* Working pointer for state buffer is updated */ + py = pState; + + /* blockSize samples are read from the state buffer */ + arm_circularRead_f32((int32_t *) py, delaySize, &readIndex, 1, + (int32_t *) pb, (int32_t *) pb, blockSize, 1, + blockSize); + + /* Working pointer for the scratch buffer of state values */ + px = pb; + + /* Working pointer for scratch buffer of output values */ + pOut = pDst; + + blkCnt = blockSize; + + while (blkCnt > 0U) + { + /* Perform Multiply-Accumulate */ + out = *pOut; + out += ((q63_t) * px++ * coeff) >> 32; + *pOut++ = (q31_t) (out); + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Load the coefficient value and + * increment the coefficient buffer for the next set of state values */ + coeff = *pCoeffs++; + + /* Read Index, from where the state buffer should be read, is calculated. */ + readIndex = (int32_t) (S->stateIndex - blockSize) - *pTapDelay++; + + /* Wraparound of readIndex */ + if (readIndex < 0) + { + readIndex += (int32_t) delaySize; + } + + /* Decrement the tap loop counter */ + tapCnt--; + } + + /* Compute last tap without the final read of pTapDelay */ + + /* Working pointer for state buffer is updated */ + py = pState; + + /* blockSize samples are read from the state buffer */ + arm_circularRead_f32((int32_t *) py, delaySize, &readIndex, 1, + (int32_t *) pb, (int32_t *) pb, blockSize, 1, + blockSize); + + /* Working pointer for the scratch buffer of state values */ + px = pb; + + /* Working pointer for scratch buffer of output values */ + pOut = pDst; + + blkCnt = blockSize; + + while (blkCnt > 0U) + { + /* Perform Multiply-Accumulate */ + out = *pOut; + out += ((q63_t) * px++ * coeff) >> 32; + *pOut++ = (q31_t) (out); + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Working output pointer is updated */ + pOut = pDst; + + /* Output is converted into 1.31 format. */ + blkCnt = blockSize; + + while (blkCnt > 0U) + { + in = *pOut << 1; + *pOut++ = in; + + /* Decrement the loop counter */ + blkCnt--; + } + +#endif /* #if defined (ARM_MATH_DSP) */ + +} + +/** + * @} end of FIR_Sparse group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_q7.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_q7.c new file mode 100644 index 0000000..252ba95 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_q7.c @@ -0,0 +1,469 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fir_sparse_q7.c + * Description: Q7 sparse FIR filter processing function + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + + +/** + * @ingroup groupFilters + */ + +/** + * @addtogroup FIR_Sparse + * @{ + */ + + +/** + * @brief Processing function for the Q7 sparse FIR filter. + * @param[in] *S points to an instance of the Q7 sparse FIR structure. + * @param[in] *pSrc points to the block of input data. + * @param[out] *pDst points to the block of output data + * @param[in] *pScratchIn points to a temporary buffer of size blockSize. + * @param[in] *pScratchOut points to a temporary buffer of size blockSize. + * @param[in] blockSize number of input samples to process per call. + * @return none. + * + * Scaling and Overflow Behavior: + * \par + * The function is implemented using a 32-bit internal accumulator. + * Both coefficients and state variables are represented in 1.7 format and multiplications yield a 2.14 result. + * The 2.14 intermediate results are accumulated in a 32-bit accumulator in 18.14 format. + * There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved. + * The accumulator is then converted to 18.7 format by discarding the low 7 bits. + * Finally, the result is truncated to 1.7 format. + */ + +void arm_fir_sparse_q7( + arm_fir_sparse_instance_q7 * S, + q7_t * pSrc, + q7_t * pDst, + q7_t * pScratchIn, + q31_t * pScratchOut, + uint32_t blockSize) +{ + + q7_t *pState = S->pState; /* State pointer */ + q7_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + q7_t *px; /* Scratch buffer pointer */ + q7_t *py = pState; /* Temporary pointers for state buffer */ + q7_t *pb = pScratchIn; /* Temporary pointers for scratch buffer */ + q7_t *pOut = pDst; /* Destination pointer */ + int32_t *pTapDelay = S->pTapDelay; /* Pointer to the array containing offset of the non-zero tap values. */ + uint32_t delaySize = S->maxDelay + blockSize; /* state length */ + uint16_t numTaps = S->numTaps; /* Filter order */ + int32_t readIndex; /* Read index of the state buffer */ + uint32_t tapCnt, blkCnt; /* loop counters */ + q7_t coeff = *pCoeffs++; /* Read the coefficient value */ + q31_t *pScr2 = pScratchOut; /* Working pointer for scratch buffer of output values */ + q31_t in; + + +#if defined (ARM_MATH_DSP) + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + q7_t in1, in2, in3, in4; + + /* BlockSize of Input samples are copied into the state buffer */ + /* StateIndex points to the starting position to write in the state buffer */ + arm_circularWrite_q7(py, (int32_t) delaySize, &S->stateIndex, 1, pSrc, 1, + blockSize); + + /* Loop over the number of taps. */ + tapCnt = numTaps; + + /* Read Index, from where the state buffer should be read, is calculated. */ + readIndex = ((int32_t) S->stateIndex - (int32_t) blockSize) - *pTapDelay++; + + /* Wraparound of readIndex */ + if (readIndex < 0) + { + readIndex += (int32_t) delaySize; + } + + /* Working pointer for state buffer is updated */ + py = pState; + + /* blockSize samples are read from the state buffer */ + arm_circularRead_q7(py, (int32_t) delaySize, &readIndex, 1, pb, pb, + (int32_t) blockSize, 1, blockSize); + + /* Working pointer for the scratch buffer of state values */ + px = pb; + + /* Working pointer for scratch buffer of output values */ + pScratchOut = pScr2; + + /* Loop over the blockSize. Unroll by a factor of 4. + * Compute 4 multiplications at a time. */ + blkCnt = blockSize >> 2; + + while (blkCnt > 0U) + { + /* Perform multiplication and store in the scratch buffer */ + *pScratchOut++ = ((q31_t) * px++ * coeff); + *pScratchOut++ = ((q31_t) * px++ * coeff); + *pScratchOut++ = ((q31_t) * px++ * coeff); + *pScratchOut++ = ((q31_t) * px++ * coeff); + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, + * compute the remaining samples */ + blkCnt = blockSize % 0x4U; + + while (blkCnt > 0U) + { + /* Perform multiplication and store in the scratch buffer */ + *pScratchOut++ = ((q31_t) * px++ * coeff); + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Load the coefficient value and + * increment the coefficient buffer for the next set of state values */ + coeff = *pCoeffs++; + + /* Read Index, from where the state buffer should be read, is calculated. */ + readIndex = ((int32_t) S->stateIndex - (int32_t) blockSize) - *pTapDelay++; + + /* Wraparound of readIndex */ + if (readIndex < 0) + { + readIndex += (int32_t) delaySize; + } + + /* Loop over the number of taps. */ + tapCnt = (uint32_t) numTaps - 2U; + + while (tapCnt > 0U) + { + /* Working pointer for state buffer is updated */ + py = pState; + + /* blockSize samples are read from the state buffer */ + arm_circularRead_q7(py, (int32_t) delaySize, &readIndex, 1, pb, pb, + (int32_t) blockSize, 1, blockSize); + + /* Working pointer for the scratch buffer of state values */ + px = pb; + + /* Working pointer for scratch buffer of output values */ + pScratchOut = pScr2; + + /* Loop over the blockSize. Unroll by a factor of 4. + * Compute 4 MACS at a time. */ + blkCnt = blockSize >> 2; + + while (blkCnt > 0U) + { + /* Perform Multiply-Accumulate */ + in = *pScratchOut + ((q31_t) * px++ * coeff); + *pScratchOut++ = in; + in = *pScratchOut + ((q31_t) * px++ * coeff); + *pScratchOut++ = in; + in = *pScratchOut + ((q31_t) * px++ * coeff); + *pScratchOut++ = in; + in = *pScratchOut + ((q31_t) * px++ * coeff); + *pScratchOut++ = in; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, + * compute the remaining samples */ + blkCnt = blockSize % 0x4U; + + while (blkCnt > 0U) + { + /* Perform Multiply-Accumulate */ + in = *pScratchOut + ((q31_t) * px++ * coeff); + *pScratchOut++ = in; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Load the coefficient value and + * increment the coefficient buffer for the next set of state values */ + coeff = *pCoeffs++; + + /* Read Index, from where the state buffer should be read, is calculated. */ + readIndex = ((int32_t) S->stateIndex - + (int32_t) blockSize) - *pTapDelay++; + + /* Wraparound of readIndex */ + if (readIndex < 0) + { + readIndex += (int32_t) delaySize; + } + + /* Decrement the tap loop counter */ + tapCnt--; + } + + /* Compute last tap without the final read of pTapDelay */ + + /* Working pointer for state buffer is updated */ + py = pState; + + /* blockSize samples are read from the state buffer */ + arm_circularRead_q7(py, (int32_t) delaySize, &readIndex, 1, pb, pb, + (int32_t) blockSize, 1, blockSize); + + /* Working pointer for the scratch buffer of state values */ + px = pb; + + /* Working pointer for scratch buffer of output values */ + pScratchOut = pScr2; + + /* Loop over the blockSize. Unroll by a factor of 4. + * Compute 4 MACS at a time. */ + blkCnt = blockSize >> 2; + + while (blkCnt > 0U) + { + /* Perform Multiply-Accumulate */ + in = *pScratchOut + ((q31_t) * px++ * coeff); + *pScratchOut++ = in; + in = *pScratchOut + ((q31_t) * px++ * coeff); + *pScratchOut++ = in; + in = *pScratchOut + ((q31_t) * px++ * coeff); + *pScratchOut++ = in; + in = *pScratchOut + ((q31_t) * px++ * coeff); + *pScratchOut++ = in; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, + * compute the remaining samples */ + blkCnt = blockSize % 0x4U; + + while (blkCnt > 0U) + { + /* Perform Multiply-Accumulate */ + in = *pScratchOut + ((q31_t) * px++ * coeff); + *pScratchOut++ = in; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* All the output values are in pScratchOut buffer. + Convert them into 1.15 format, saturate and store in the destination buffer. */ + /* Loop over the blockSize. */ + blkCnt = blockSize >> 2; + + while (blkCnt > 0U) + { + in1 = (q7_t) __SSAT(*pScr2++ >> 7, 8); + in2 = (q7_t) __SSAT(*pScr2++ >> 7, 8); + in3 = (q7_t) __SSAT(*pScr2++ >> 7, 8); + in4 = (q7_t) __SSAT(*pScr2++ >> 7, 8); + + *__SIMD32(pOut)++ = __PACKq7(in1, in2, in3, in4); + + /* Decrement the blockSize loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, + remaining samples are processed in the below loop */ + blkCnt = blockSize % 0x4U; + + while (blkCnt > 0U) + { + *pOut++ = (q7_t) __SSAT(*pScr2++ >> 7, 8); + + /* Decrement the blockSize loop counter */ + blkCnt--; + } + +#else + + /* Run the below code for Cortex-M0 */ + + /* BlockSize of Input samples are copied into the state buffer */ + /* StateIndex points to the starting position to write in the state buffer */ + arm_circularWrite_q7(py, (int32_t) delaySize, &S->stateIndex, 1, pSrc, 1, + blockSize); + + /* Loop over the number of taps. */ + tapCnt = numTaps; + + /* Read Index, from where the state buffer should be read, is calculated. */ + readIndex = ((int32_t) S->stateIndex - (int32_t) blockSize) - *pTapDelay++; + + /* Wraparound of readIndex */ + if (readIndex < 0) + { + readIndex += (int32_t) delaySize; + } + + /* Working pointer for state buffer is updated */ + py = pState; + + /* blockSize samples are read from the state buffer */ + arm_circularRead_q7(py, (int32_t) delaySize, &readIndex, 1, pb, pb, + (int32_t) blockSize, 1, blockSize); + + /* Working pointer for the scratch buffer of state values */ + px = pb; + + /* Working pointer for scratch buffer of output values */ + pScratchOut = pScr2; + + /* Loop over the blockSize */ + blkCnt = blockSize; + + while (blkCnt > 0U) + { + /* Perform multiplication and store in the scratch buffer */ + *pScratchOut++ = ((q31_t) * px++ * coeff); + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Load the coefficient value and + * increment the coefficient buffer for the next set of state values */ + coeff = *pCoeffs++; + + /* Read Index, from where the state buffer should be read, is calculated. */ + readIndex = ((int32_t) S->stateIndex - (int32_t) blockSize) - *pTapDelay++; + + /* Wraparound of readIndex */ + if (readIndex < 0) + { + readIndex += (int32_t) delaySize; + } + + /* Loop over the number of taps. */ + tapCnt = (uint32_t) numTaps - 2U; + + while (tapCnt > 0U) + { + /* Working pointer for state buffer is updated */ + py = pState; + + /* blockSize samples are read from the state buffer */ + arm_circularRead_q7(py, (int32_t) delaySize, &readIndex, 1, pb, pb, + (int32_t) blockSize, 1, blockSize); + + /* Working pointer for the scratch buffer of state values */ + px = pb; + + /* Working pointer for scratch buffer of output values */ + pScratchOut = pScr2; + + /* Loop over the blockSize */ + blkCnt = blockSize; + + while (blkCnt > 0U) + { + /* Perform Multiply-Accumulate */ + in = *pScratchOut + ((q31_t) * px++ * coeff); + *pScratchOut++ = in; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Load the coefficient value and + * increment the coefficient buffer for the next set of state values */ + coeff = *pCoeffs++; + + /* Read Index, from where the state buffer should be read, is calculated. */ + readIndex = + ((int32_t) S->stateIndex - (int32_t) blockSize) - *pTapDelay++; + + /* Wraparound of readIndex */ + if (readIndex < 0) + { + readIndex += (int32_t) delaySize; + } + + /* Decrement the tap loop counter */ + tapCnt--; + } + + /* Compute last tap without the final read of pTapDelay */ + + /* Working pointer for state buffer is updated */ + py = pState; + + /* blockSize samples are read from the state buffer */ + arm_circularRead_q7(py, (int32_t) delaySize, &readIndex, 1, pb, pb, + (int32_t) blockSize, 1, blockSize); + + /* Working pointer for the scratch buffer of state values */ + px = pb; + + /* Working pointer for scratch buffer of output values */ + pScratchOut = pScr2; + + /* Loop over the blockSize */ + blkCnt = blockSize; + + while (blkCnt > 0U) + { + /* Perform Multiply-Accumulate */ + in = *pScratchOut + ((q31_t) * px++ * coeff); + *pScratchOut++ = in; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* All the output values are in pScratchOut buffer. + Convert them into 1.15 format, saturate and store in the destination buffer. */ + /* Loop over the blockSize. */ + blkCnt = blockSize; + + while (blkCnt > 0U) + { + *pOut++ = (q7_t) __SSAT(*pScr2++ >> 7, 8); + + /* Decrement the blockSize loop counter */ + blkCnt--; + } + +#endif /* #if defined (ARM_MATH_DSP) */ + +} + +/** + * @} end of FIR_Sparse group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_f32.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_f32.c new file mode 100644 index 0000000..7cccd4a --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_f32.c @@ -0,0 +1,435 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_iir_lattice_f32.c + * Description: Floating-point IIR Lattice filter processing function + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupFilters + */ + +/** + * @defgroup IIR_Lattice Infinite Impulse Response (IIR) Lattice Filters + * + * This set of functions implements lattice filters + * for Q15, Q31 and floating-point data types. Lattice filters are used in a + * variety of adaptive filter applications. The filter structure has feedforward and + * feedback components and the net impulse response is infinite length. + * The functions operate on blocks + * of input and output data and each call to the function processes + * blockSize samples through the filter. pSrc and + * pDst point to input and output arrays containing blockSize values. + + * \par Algorithm: + * \image html IIRLattice.gif "Infinite Impulse Response Lattice filter" + *
+ *    fN(n)   =  x(n)
+ *    fm-1(n) = fm(n) - km * gm-1(n-1)   for m = N, N-1, ...1
+ *    gm(n)   = km * fm-1(n) + gm-1(n-1) for m = N, N-1, ...1
+ *    y(n)    = vN * gN(n) + vN-1 * gN-1(n) + ...+ v0 * g0(n)
+ * 
+ * \par + * pkCoeffs points to array of reflection coefficients of size numStages. + * Reflection coefficients are stored in time-reversed order. + * \par + *
+ *    {kN, kN-1, ....k1}
+ * 
+ * pvCoeffs points to the array of ladder coefficients of size (numStages+1). + * Ladder coefficients are stored in time-reversed order. + * \par + *
+ *    {vN, vN-1, ...v0}
+ * 
+ * pState points to a state array of size numStages + blockSize. + * The state variables shown in the figure above (the g values) are stored in the pState array. + * The state variables are updated after each block of data is processed; the coefficients are untouched. + * \par Instance Structure + * The coefficients and state variables for a filter are stored together in an instance data structure. + * A separate instance structure must be defined for each filter. + * Coefficient arrays may be shared among several instances while state variable arrays cannot be shared. + * There are separate instance structure declarations for each of the 3 supported data types. + * + * \par Initialization Functions + * There is also an associated initialization function for each data type. + * The initialization function performs the following operations: + * - Sets the values of the internal structure fields. + * - Zeros out the values in the state buffer. + * To do this manually without calling the init function, assign the follow subfields of the instance structure: + * numStages, pkCoeffs, pvCoeffs, pState. Also set all of the values in pState to zero. + * + * \par + * Use of the initialization function is optional. + * However, if the initialization function is used, then the instance structure cannot be placed into a const data section. + * To place an instance structure into a const data section, the instance structure must be manually initialized. + * Set the values in the state buffer to zeros and then manually initialize the instance structure as follows: + *
+ *arm_iir_lattice_instance_f32 S = {numStages, pState, pkCoeffs, pvCoeffs};
+ *arm_iir_lattice_instance_q31 S = {numStages, pState, pkCoeffs, pvCoeffs};
+ *arm_iir_lattice_instance_q15 S = {numStages, pState, pkCoeffs, pvCoeffs};
+ * 
+ * \par + * where numStages is the number of stages in the filter; pState points to the state buffer array; + * pkCoeffs points to array of the reflection coefficients; pvCoeffs points to the array of ladder coefficients. + * \par Fixed-Point Behavior + * Care must be taken when using the fixed-point versions of the IIR lattice filter functions. + * In particular, the overflow and saturation behavior of the accumulator used in each function must be considered. + * Refer to the function specific documentation below for usage guidelines. + */ + +/** + * @addtogroup IIR_Lattice + * @{ + */ + +/** + * @brief Processing function for the floating-point IIR lattice filter. + * @param[in] *S points to an instance of the floating-point IIR lattice structure. + * @param[in] *pSrc points to the block of input data. + * @param[out] *pDst points to the block of output data. + * @param[in] blockSize number of samples to process. + * @return none. + */ + +#if defined (ARM_MATH_DSP) + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + +void arm_iir_lattice_f32( + const arm_iir_lattice_instance_f32 * S, + float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize) +{ + float32_t fnext1, gcurr1, gnext; /* Temporary variables for lattice stages */ + float32_t acc; /* Accumlator */ + uint32_t blkCnt, tapCnt; /* temporary variables for counts */ + float32_t *px1, *px2, *pk, *pv; /* temporary pointers for state and coef */ + uint32_t numStages = S->numStages; /* number of stages */ + float32_t *pState; /* State pointer */ + float32_t *pStateCurnt; /* State current pointer */ + float32_t k1, k2; + float32_t v1, v2, v3, v4; + float32_t gcurr2; + float32_t fnext2; + + /* initialise loop count */ + blkCnt = blockSize; + + /* initialise state pointer */ + pState = &S->pState[0]; + + /* Sample processing */ + while (blkCnt > 0U) + { + /* Read Sample from input buffer */ + /* fN(n) = x(n) */ + fnext2 = *pSrc++; + + /* Initialize Ladder coeff pointer */ + pv = &S->pvCoeffs[0]; + /* Initialize Reflection coeff pointer */ + pk = &S->pkCoeffs[0]; + + /* Initialize state read pointer */ + px1 = pState; + /* Initialize state write pointer */ + px2 = pState; + + /* Set accumulator to zero */ + acc = 0.0; + + /* Loop unrolling. Process 4 taps at a time. */ + tapCnt = (numStages) >> 2; + + while (tapCnt > 0U) + { + /* Read gN-1(n-1) from state buffer */ + gcurr1 = *px1; + + /* read reflection coefficient kN */ + k1 = *pk; + + /* fN-1(n) = fN(n) - kN * gN-1(n-1) */ + fnext1 = fnext2 - (k1 * gcurr1); + + /* read ladder coefficient vN */ + v1 = *pv; + + /* read next reflection coefficient kN-1 */ + k2 = *(pk + 1U); + + /* Read gN-2(n-1) from state buffer */ + gcurr2 = *(px1 + 1U); + + /* read next ladder coefficient vN-1 */ + v2 = *(pv + 1U); + + /* fN-2(n) = fN-1(n) - kN-1 * gN-2(n-1) */ + fnext2 = fnext1 - (k2 * gcurr2); + + /* gN(n) = kN * fN-1(n) + gN-1(n-1) */ + gnext = gcurr1 + (k1 * fnext1); + + /* read reflection coefficient kN-2 */ + k1 = *(pk + 2U); + + /* write gN(n) into state for next sample processing */ + *px2++ = gnext; + + /* Read gN-3(n-1) from state buffer */ + gcurr1 = *(px1 + 2U); + + /* y(n) += gN(n) * vN */ + acc += (gnext * v1); + + /* fN-3(n) = fN-2(n) - kN-2 * gN-3(n-1) */ + fnext1 = fnext2 - (k1 * gcurr1); + + /* gN-1(n) = kN-1 * fN-2(n) + gN-2(n-1) */ + gnext = gcurr2 + (k2 * fnext2); + + /* Read gN-4(n-1) from state buffer */ + gcurr2 = *(px1 + 3U); + + /* y(n) += gN-1(n) * vN-1 */ + acc += (gnext * v2); + + /* read reflection coefficient kN-3 */ + k2 = *(pk + 3U); + + /* write gN-1(n) into state for next sample processing */ + *px2++ = gnext; + + /* fN-4(n) = fN-3(n) - kN-3 * gN-4(n-1) */ + fnext2 = fnext1 - (k2 * gcurr2); + + /* gN-2(n) = kN-2 * fN-3(n) + gN-3(n-1) */ + gnext = gcurr1 + (k1 * fnext1); + + /* read ladder coefficient vN-2 */ + v3 = *(pv + 2U); + + /* y(n) += gN-2(n) * vN-2 */ + acc += (gnext * v3); + + /* write gN-2(n) into state for next sample processing */ + *px2++ = gnext; + + /* update pointer */ + pk += 4U; + + /* gN-3(n) = kN-3 * fN-4(n) + gN-4(n-1) */ + gnext = (fnext2 * k2) + gcurr2; + + /* read next ladder coefficient vN-3 */ + v4 = *(pv + 3U); + + /* y(n) += gN-4(n) * vN-4 */ + acc += (gnext * v4); + + /* write gN-3(n) into state for next sample processing */ + *px2++ = gnext; + + /* update pointers */ + px1 += 4U; + pv += 4U; + + tapCnt--; + + } + + /* If the filter length is not a multiple of 4, compute the remaining filter taps */ + tapCnt = (numStages) % 0x4U; + + while (tapCnt > 0U) + { + gcurr1 = *px1++; + /* Process sample for last taps */ + fnext1 = fnext2 - ((*pk) * gcurr1); + gnext = (fnext1 * (*pk++)) + gcurr1; + /* Output samples for last taps */ + acc += (gnext * (*pv++)); + *px2++ = gnext; + fnext2 = fnext1; + + tapCnt--; + + } + + /* y(n) += g0(n) * v0 */ + acc += (fnext2 * (*pv)); + + *px2++ = fnext2; + + /* write out into pDst */ + *pDst++ = acc; + + /* Advance the state pointer by 4 to process the next group of 4 samples */ + pState = pState + 1U; + + blkCnt--; + + } + + /* Processing is complete. Now copy last S->numStages samples to start of the buffer + for the preperation of next frame process */ + + /* Points to the start of the state buffer */ + pStateCurnt = &S->pState[0]; + pState = &S->pState[blockSize]; + + tapCnt = numStages >> 2U; + + /* copy data */ + while (tapCnt > 0U) + { + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + + /* Decrement the loop counter */ + tapCnt--; + + } + + /* Calculate remaining number of copies */ + tapCnt = (numStages) % 0x4U; + + /* Copy the remaining q31_t data */ + while (tapCnt > 0U) + { + *pStateCurnt++ = *pState++; + + /* Decrement the loop counter */ + tapCnt--; + } +} + +#else + +void arm_iir_lattice_f32( + const arm_iir_lattice_instance_f32 * S, + float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize) +{ + float32_t fcurr, fnext = 0, gcurr, gnext; /* Temporary variables for lattice stages */ + float32_t acc; /* Accumlator */ + uint32_t blkCnt, tapCnt; /* temporary variables for counts */ + float32_t *px1, *px2, *pk, *pv; /* temporary pointers for state and coef */ + uint32_t numStages = S->numStages; /* number of stages */ + float32_t *pState; /* State pointer */ + float32_t *pStateCurnt; /* State current pointer */ + + + /* Run the below code for Cortex-M0 */ + + blkCnt = blockSize; + + pState = &S->pState[0]; + + /* Sample processing */ + while (blkCnt > 0U) + { + /* Read Sample from input buffer */ + /* fN(n) = x(n) */ + fcurr = *pSrc++; + + /* Initialize state read pointer */ + px1 = pState; + /* Initialize state write pointer */ + px2 = pState; + /* Set accumulator to zero */ + acc = 0.0f; + /* Initialize Ladder coeff pointer */ + pv = &S->pvCoeffs[0]; + /* Initialize Reflection coeff pointer */ + pk = &S->pkCoeffs[0]; + + + /* Process sample for numStages */ + tapCnt = numStages; + + while (tapCnt > 0U) + { + gcurr = *px1++; + /* Process sample for last taps */ + fnext = fcurr - ((*pk) * gcurr); + gnext = (fnext * (*pk++)) + gcurr; + + /* Output samples for last taps */ + acc += (gnext * (*pv++)); + *px2++ = gnext; + fcurr = fnext; + + /* Decrementing loop counter */ + tapCnt--; + + } + + /* y(n) += g0(n) * v0 */ + acc += (fnext * (*pv)); + + *px2++ = fnext; + + /* write out into pDst */ + *pDst++ = acc; + + /* Advance the state pointer by 1 to process the next group of samples */ + pState = pState + 1U; + blkCnt--; + + } + + /* Processing is complete. Now copy last S->numStages samples to start of the buffer + for the preperation of next frame process */ + + /* Points to the start of the state buffer */ + pStateCurnt = &S->pState[0]; + pState = &S->pState[blockSize]; + + tapCnt = numStages; + + /* Copy the data */ + while (tapCnt > 0U) + { + *pStateCurnt++ = *pState++; + + /* Decrement the loop counter */ + tapCnt--; + } + +} + +#endif /* #if defined (ARM_MATH_DSP) */ + + +/** + * @} end of IIR_Lattice group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_init_f32.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_init_f32.c new file mode 100644 index 0000000..f20a21b --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_init_f32.c @@ -0,0 +1,79 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_iir_lattice_init_f32.c + * Description: Floating-point IIR lattice filter initialization function + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupFilters + */ + +/** + * @addtogroup IIR_Lattice + * @{ + */ + +/** + * @brief Initialization function for the floating-point IIR lattice filter. + * @param[in] *S points to an instance of the floating-point IIR lattice structure. + * @param[in] numStages number of stages in the filter. + * @param[in] *pkCoeffs points to the reflection coefficient buffer. The array is of length numStages. + * @param[in] *pvCoeffs points to the ladder coefficient buffer. The array is of length numStages+1. + * @param[in] *pState points to the state buffer. The array is of length numStages+blockSize. + * @param[in] blockSize number of samples to process. + * @return none. + */ + +void arm_iir_lattice_init_f32( + arm_iir_lattice_instance_f32 * S, + uint16_t numStages, + float32_t * pkCoeffs, + float32_t * pvCoeffs, + float32_t * pState, + uint32_t blockSize) +{ + /* Assign filter taps */ + S->numStages = numStages; + + /* Assign reflection coefficient pointer */ + S->pkCoeffs = pkCoeffs; + + /* Assign ladder coefficient pointer */ + S->pvCoeffs = pvCoeffs; + + /* Clear state buffer and size is always blockSize + numStages */ + memset(pState, 0, (numStages + blockSize) * sizeof(float32_t)); + + /* Assign state pointer */ + S->pState = pState; + + +} + + /** + * @} end of IIR_Lattice group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_init_q15.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_init_q15.c new file mode 100644 index 0000000..6cae944 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_init_q15.c @@ -0,0 +1,79 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_iir_lattice_init_q15.c + * Description: Q15 IIR lattice filter initialization function + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupFilters + */ + +/** + * @addtogroup IIR_Lattice + * @{ + */ + + /** + * @brief Initialization function for the Q15 IIR lattice filter. + * @param[in] *S points to an instance of the Q15 IIR lattice structure. + * @param[in] numStages number of stages in the filter. + * @param[in] *pkCoeffs points to reflection coefficient buffer. The array is of length numStages. + * @param[in] *pvCoeffs points to ladder coefficient buffer. The array is of length numStages+1. + * @param[in] *pState points to state buffer. The array is of length numStages+blockSize. + * @param[in] blockSize number of samples to process per call. + * @return none. + */ + +void arm_iir_lattice_init_q15( + arm_iir_lattice_instance_q15 * S, + uint16_t numStages, + q15_t * pkCoeffs, + q15_t * pvCoeffs, + q15_t * pState, + uint32_t blockSize) +{ + /* Assign filter taps */ + S->numStages = numStages; + + /* Assign reflection coefficient pointer */ + S->pkCoeffs = pkCoeffs; + + /* Assign ladder coefficient pointer */ + S->pvCoeffs = pvCoeffs; + + /* Clear state buffer and size is always blockSize + numStages */ + memset(pState, 0, (numStages + blockSize) * sizeof(q15_t)); + + /* Assign state pointer */ + S->pState = pState; + + +} + +/** + * @} end of IIR_Lattice group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_init_q31.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_init_q31.c new file mode 100644 index 0000000..fe9869e --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_init_q31.c @@ -0,0 +1,79 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_iir_lattice_init_q31.c + * Description: Initialization function for the Q31 IIR lattice filter + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupFilters + */ + +/** + * @addtogroup IIR_Lattice + * @{ + */ + + /** + * @brief Initialization function for the Q31 IIR lattice filter. + * @param[in] *S points to an instance of the Q31 IIR lattice structure. + * @param[in] numStages number of stages in the filter. + * @param[in] *pkCoeffs points to the reflection coefficient buffer. The array is of length numStages. + * @param[in] *pvCoeffs points to the ladder coefficient buffer. The array is of length numStages+1. + * @param[in] *pState points to the state buffer. The array is of length numStages+blockSize. + * @param[in] blockSize number of samples to process. + * @return none. + */ + +void arm_iir_lattice_init_q31( + arm_iir_lattice_instance_q31 * S, + uint16_t numStages, + q31_t * pkCoeffs, + q31_t * pvCoeffs, + q31_t * pState, + uint32_t blockSize) +{ + /* Assign filter taps */ + S->numStages = numStages; + + /* Assign reflection coefficient pointer */ + S->pkCoeffs = pkCoeffs; + + /* Assign ladder coefficient pointer */ + S->pvCoeffs = pvCoeffs; + + /* Clear state buffer and size is always blockSize + numStages */ + memset(pState, 0, (numStages + blockSize) * sizeof(q31_t)); + + /* Assign state pointer */ + S->pState = pState; + + +} + +/** + * @} end of IIR_Lattice group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_q15.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_q15.c new file mode 100644 index 0000000..9c70b68 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_q15.c @@ -0,0 +1,452 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_iir_lattice_q15.c + * Description: Q15 IIR lattice filter processing function + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupFilters + */ + +/** + * @addtogroup IIR_Lattice + * @{ + */ + +/** + * @brief Processing function for the Q15 IIR lattice filter. + * @param[in] *S points to an instance of the Q15 IIR lattice structure. + * @param[in] *pSrc points to the block of input data. + * @param[out] *pDst points to the block of output data. + * @param[in] blockSize number of samples to process. + * @return none. + * + * @details + * Scaling and Overflow Behavior: + * \par + * The function is implemented using a 64-bit internal accumulator. + * Both coefficients and state variables are represented in 1.15 format and multiplications yield a 2.30 result. + * The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format. + * There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved. + * After all additions have been performed, the accumulator is truncated to 34.15 format by discarding low 15 bits. + * Lastly, the accumulator is saturated to yield a result in 1.15 format. + */ + +void arm_iir_lattice_q15( + const arm_iir_lattice_instance_q15 * S, + q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize) +{ + + +#if defined (ARM_MATH_DSP) + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + q31_t fcurr, fnext, gcurr = 0, gnext; /* Temporary variables for lattice stages */ + q15_t gnext1, gnext2; /* Temporary variables for lattice stages */ + uint32_t stgCnt; /* Temporary variables for counts */ + q63_t acc; /* Accumlator */ + uint32_t blkCnt, tapCnt; /* Temporary variables for counts */ + q15_t *px1, *px2, *pk, *pv; /* temporary pointers for state and coef */ + uint32_t numStages = S->numStages; /* number of stages */ + q15_t *pState; /* State pointer */ + q15_t *pStateCurnt; /* State current pointer */ + q15_t out; /* Temporary variable for output */ + q31_t v; /* Temporary variable for ladder coefficient */ +#ifdef UNALIGNED_SUPPORT_DISABLE + q15_t v1, v2; +#endif + + + blkCnt = blockSize; + + pState = &S->pState[0]; + + /* Sample processing */ + while (blkCnt > 0U) + { + /* Read Sample from input buffer */ + /* fN(n) = x(n) */ + fcurr = *pSrc++; + + /* Initialize state read pointer */ + px1 = pState; + /* Initialize state write pointer */ + px2 = pState; + /* Set accumulator to zero */ + acc = 0; + /* Initialize Ladder coeff pointer */ + pv = &S->pvCoeffs[0]; + /* Initialize Reflection coeff pointer */ + pk = &S->pkCoeffs[0]; + + + /* Process sample for first tap */ + gcurr = *px1++; + /* fN-1(n) = fN(n) - kN * gN-1(n-1) */ + fnext = fcurr - (((q31_t) gcurr * (*pk)) >> 15); + fnext = __SSAT(fnext, 16); + /* gN(n) = kN * fN-1(n) + gN-1(n-1) */ + gnext = (((q31_t) fnext * (*pk++)) >> 15) + gcurr; + gnext = __SSAT(gnext, 16); + /* write gN(n) into state for next sample processing */ + *px2++ = (q15_t) gnext; + /* y(n) += gN(n) * vN */ + acc += (q31_t) ((gnext * (*pv++))); + + + /* Update f values for next coefficient processing */ + fcurr = fnext; + + /* Loop unrolling. Process 4 taps at a time. */ + tapCnt = (numStages - 1U) >> 2; + + while (tapCnt > 0U) + { + + /* Process sample for 2nd, 6th ...taps */ + /* Read gN-2(n-1) from state buffer */ + gcurr = *px1++; + /* Process sample for 2nd, 6th .. taps */ + /* fN-2(n) = fN-1(n) - kN-1 * gN-2(n-1) */ + fnext = fcurr - (((q31_t) gcurr * (*pk)) >> 15); + fnext = __SSAT(fnext, 16); + /* gN-1(n) = kN-1 * fN-2(n) + gN-2(n-1) */ + gnext = (((q31_t) fnext * (*pk++)) >> 15) + gcurr; + gnext1 = (q15_t) __SSAT(gnext, 16); + /* write gN-1(n) into state */ + *px2++ = (q15_t) gnext1; + + + /* Process sample for 3nd, 7th ...taps */ + /* Read gN-3(n-1) from state */ + gcurr = *px1++; + /* Process sample for 3rd, 7th .. taps */ + /* fN-3(n) = fN-2(n) - kN-2 * gN-3(n-1) */ + fcurr = fnext - (((q31_t) gcurr * (*pk)) >> 15); + fcurr = __SSAT(fcurr, 16); + /* gN-2(n) = kN-2 * fN-3(n) + gN-3(n-1) */ + gnext = (((q31_t) fcurr * (*pk++)) >> 15) + gcurr; + gnext2 = (q15_t) __SSAT(gnext, 16); + /* write gN-2(n) into state */ + *px2++ = (q15_t) gnext2; + + /* Read vN-1 and vN-2 at a time */ +#ifndef UNALIGNED_SUPPORT_DISABLE + + v = *__SIMD32(pv)++; + +#else + + v1 = *pv++; + v2 = *pv++; + +#ifndef ARM_MATH_BIG_ENDIAN + + v = __PKHBT(v1, v2, 16); + +#else + + v = __PKHBT(v2, v1, 16); + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + +#endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */ + + + /* Pack gN-1(n) and gN-2(n) */ + +#ifndef ARM_MATH_BIG_ENDIAN + + gnext = __PKHBT(gnext1, gnext2, 16); + +#else + + gnext = __PKHBT(gnext2, gnext1, 16); + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* y(n) += gN-1(n) * vN-1 */ + /* process for gN-5(n) * vN-5, gN-9(n) * vN-9 ... */ + /* y(n) += gN-2(n) * vN-2 */ + /* process for gN-6(n) * vN-6, gN-10(n) * vN-10 ... */ + acc = __SMLALD(gnext, v, acc); + + + /* Process sample for 4th, 8th ...taps */ + /* Read gN-4(n-1) from state */ + gcurr = *px1++; + /* Process sample for 4th, 8th .. taps */ + /* fN-4(n) = fN-3(n) - kN-3 * gN-4(n-1) */ + fnext = fcurr - (((q31_t) gcurr * (*pk)) >> 15); + fnext = __SSAT(fnext, 16); + /* gN-3(n) = kN-3 * fN-1(n) + gN-1(n-1) */ + gnext = (((q31_t) fnext * (*pk++)) >> 15) + gcurr; + gnext1 = (q15_t) __SSAT(gnext, 16); + /* write gN-3(n) for the next sample process */ + *px2++ = (q15_t) gnext1; + + + /* Process sample for 5th, 9th ...taps */ + /* Read gN-5(n-1) from state */ + gcurr = *px1++; + /* Process sample for 5th, 9th .. taps */ + /* fN-5(n) = fN-4(n) - kN-4 * gN-5(n-1) */ + fcurr = fnext - (((q31_t) gcurr * (*pk)) >> 15); + fcurr = __SSAT(fcurr, 16); + /* gN-4(n) = kN-4 * fN-5(n) + gN-5(n-1) */ + gnext = (((q31_t) fcurr * (*pk++)) >> 15) + gcurr; + gnext2 = (q15_t) __SSAT(gnext, 16); + /* write gN-4(n) for the next sample process */ + *px2++ = (q15_t) gnext2; + + /* Read vN-3 and vN-4 at a time */ +#ifndef UNALIGNED_SUPPORT_DISABLE + + v = *__SIMD32(pv)++; + +#else + + v1 = *pv++; + v2 = *pv++; + +#ifndef ARM_MATH_BIG_ENDIAN + + v = __PKHBT(v1, v2, 16); + +#else + + v = __PKHBT(v2, v1, 16); + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + +#endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */ + + + /* Pack gN-3(n) and gN-4(n) */ +#ifndef ARM_MATH_BIG_ENDIAN + + gnext = __PKHBT(gnext1, gnext2, 16); + +#else + + gnext = __PKHBT(gnext2, gnext1, 16); + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* y(n) += gN-4(n) * vN-4 */ + /* process for gN-8(n) * vN-8, gN-12(n) * vN-12 ... */ + /* y(n) += gN-3(n) * vN-3 */ + /* process for gN-7(n) * vN-7, gN-11(n) * vN-11 ... */ + acc = __SMLALD(gnext, v, acc); + + tapCnt--; + + } + + fnext = fcurr; + + /* If the filter length is not a multiple of 4, compute the remaining filter taps */ + tapCnt = (numStages - 1U) % 0x4U; + + while (tapCnt > 0U) + { + gcurr = *px1++; + /* Process sample for last taps */ + fnext = fcurr - (((q31_t) gcurr * (*pk)) >> 15); + fnext = __SSAT(fnext, 16); + gnext = (((q31_t) fnext * (*pk++)) >> 15) + gcurr; + gnext = __SSAT(gnext, 16); + /* Output samples for last taps */ + acc += (q31_t) (((q31_t) gnext * (*pv++))); + *px2++ = (q15_t) gnext; + fcurr = fnext; + + tapCnt--; + } + + /* y(n) += g0(n) * v0 */ + acc += (q31_t) (((q31_t) fnext * (*pv++))); + + out = (q15_t) __SSAT(acc >> 15, 16); + *px2++ = (q15_t) fnext; + + /* write out into pDst */ + *pDst++ = out; + + /* Advance the state pointer by 4 to process the next group of 4 samples */ + pState = pState + 1U; + blkCnt--; + + } + + /* Processing is complete. Now copy last S->numStages samples to start of the buffer + for the preperation of next frame process */ + /* Points to the start of the state buffer */ + pStateCurnt = &S->pState[0]; + pState = &S->pState[blockSize]; + + stgCnt = (numStages >> 2U); + + /* copy data */ + while (stgCnt > 0U) + { +#ifndef UNALIGNED_SUPPORT_DISABLE + + *__SIMD32(pStateCurnt)++ = *__SIMD32(pState)++; + *__SIMD32(pStateCurnt)++ = *__SIMD32(pState)++; + +#else + + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + +#endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */ + + /* Decrement the loop counter */ + stgCnt--; + + } + + /* Calculation of count for remaining q15_t data */ + stgCnt = (numStages) % 0x4U; + + /* copy data */ + while (stgCnt > 0U) + { + *pStateCurnt++ = *pState++; + + /* Decrement the loop counter */ + stgCnt--; + } + +#else + + /* Run the below code for Cortex-M0 */ + + q31_t fcurr, fnext = 0, gcurr = 0, gnext; /* Temporary variables for lattice stages */ + uint32_t stgCnt; /* Temporary variables for counts */ + q63_t acc; /* Accumlator */ + uint32_t blkCnt, tapCnt; /* Temporary variables for counts */ + q15_t *px1, *px2, *pk, *pv; /* temporary pointers for state and coef */ + uint32_t numStages = S->numStages; /* number of stages */ + q15_t *pState; /* State pointer */ + q15_t *pStateCurnt; /* State current pointer */ + q15_t out; /* Temporary variable for output */ + + + blkCnt = blockSize; + + pState = &S->pState[0]; + + /* Sample processing */ + while (blkCnt > 0U) + { + /* Read Sample from input buffer */ + /* fN(n) = x(n) */ + fcurr = *pSrc++; + + /* Initialize state read pointer */ + px1 = pState; + /* Initialize state write pointer */ + px2 = pState; + /* Set accumulator to zero */ + acc = 0; + /* Initialize Ladder coeff pointer */ + pv = &S->pvCoeffs[0]; + /* Initialize Reflection coeff pointer */ + pk = &S->pkCoeffs[0]; + + tapCnt = numStages; + + while (tapCnt > 0U) + { + gcurr = *px1++; + /* Process sample */ + /* fN-1(n) = fN(n) - kN * gN-1(n-1) */ + fnext = fcurr - ((gcurr * (*pk)) >> 15); + fnext = __SSAT(fnext, 16); + /* gN(n) = kN * fN-1(n) + gN-1(n-1) */ + gnext = ((fnext * (*pk++)) >> 15) + gcurr; + gnext = __SSAT(gnext, 16); + /* Output samples */ + /* y(n) += gN(n) * vN */ + acc += (q31_t) ((gnext * (*pv++))); + /* write gN(n) into state for next sample processing */ + *px2++ = (q15_t) gnext; + /* Update f values for next coefficient processing */ + fcurr = fnext; + + tapCnt--; + } + + /* y(n) += g0(n) * v0 */ + acc += (q31_t) ((fnext * (*pv++))); + + out = (q15_t) __SSAT(acc >> 15, 16); + *px2++ = (q15_t) fnext; + + /* write out into pDst */ + *pDst++ = out; + + /* Advance the state pointer by 1 to process the next group of samples */ + pState = pState + 1U; + blkCnt--; + + } + + /* Processing is complete. Now copy last S->numStages samples to start of the buffer + for the preperation of next frame process */ + /* Points to the start of the state buffer */ + pStateCurnt = &S->pState[0]; + pState = &S->pState[blockSize]; + + stgCnt = numStages; + + /* copy data */ + while (stgCnt > 0U) + { + *pStateCurnt++ = *pState++; + + /* Decrement the loop counter */ + stgCnt--; + } + +#endif /* #if defined (ARM_MATH_DSP) */ + +} + + + + +/** + * @} end of IIR_Lattice group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_q31.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_q31.c new file mode 100644 index 0000000..736cbc0 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_q31.c @@ -0,0 +1,338 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_iir_lattice_q31.c + * Description: Q31 IIR lattice filter processing function + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupFilters + */ + +/** + * @addtogroup IIR_Lattice + * @{ + */ + +/** + * @brief Processing function for the Q31 IIR lattice filter. + * @param[in] *S points to an instance of the Q31 IIR lattice structure. + * @param[in] *pSrc points to the block of input data. + * @param[out] *pDst points to the block of output data. + * @param[in] blockSize number of samples to process. + * @return none. + * + * @details + * Scaling and Overflow Behavior: + * \par + * The function is implemented using an internal 64-bit accumulator. + * The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit. + * Thus, if the accumulator result overflows it wraps around rather than clip. + * In order to avoid overflows completely the input signal must be scaled down by 2*log2(numStages) bits. + * After all multiply-accumulates are performed, the 2.62 accumulator is saturated to 1.32 format and then truncated to 1.31 format. + */ + +void arm_iir_lattice_q31( + const arm_iir_lattice_instance_q31 * S, + q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize) +{ + q31_t fcurr, fnext = 0, gcurr = 0, gnext; /* Temporary variables for lattice stages */ + q63_t acc; /* Accumlator */ + uint32_t blkCnt, tapCnt; /* Temporary variables for counts */ + q31_t *px1, *px2, *pk, *pv; /* Temporary pointers for state and coef */ + uint32_t numStages = S->numStages; /* number of stages */ + q31_t *pState; /* State pointer */ + q31_t *pStateCurnt; /* State current pointer */ + + blkCnt = blockSize; + + pState = &S->pState[0]; + + +#if defined (ARM_MATH_DSP) + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + /* Sample processing */ + while (blkCnt > 0U) + { + /* Read Sample from input buffer */ + /* fN(n) = x(n) */ + fcurr = *pSrc++; + + /* Initialize state read pointer */ + px1 = pState; + /* Initialize state write pointer */ + px2 = pState; + /* Set accumulator to zero */ + acc = 0; + /* Initialize Ladder coeff pointer */ + pv = &S->pvCoeffs[0]; + /* Initialize Reflection coeff pointer */ + pk = &S->pkCoeffs[0]; + + + /* Process sample for first tap */ + gcurr = *px1++; + /* fN-1(n) = fN(n) - kN * gN-1(n-1) */ + fnext = __QSUB(fcurr, (q31_t) (((q63_t) gcurr * (*pk)) >> 31)); + /* gN(n) = kN * fN-1(n) + gN-1(n-1) */ + gnext = __QADD(gcurr, (q31_t) (((q63_t) fnext * (*pk++)) >> 31)); + /* write gN-1(n-1) into state for next sample processing */ + *px2++ = gnext; + /* y(n) += gN(n) * vN */ + acc += ((q63_t) gnext * *pv++); + + /* Update f values for next coefficient processing */ + fcurr = fnext; + + /* Loop unrolling. Process 4 taps at a time. */ + tapCnt = (numStages - 1U) >> 2; + + while (tapCnt > 0U) + { + + /* Process sample for 2nd, 6th .. taps */ + /* Read gN-2(n-1) from state buffer */ + gcurr = *px1++; + /* fN-2(n) = fN-1(n) - kN-1 * gN-2(n-1) */ + fnext = __QSUB(fcurr, (q31_t) (((q63_t) gcurr * (*pk)) >> 31)); + /* gN-1(n) = kN-1 * fN-2(n) + gN-2(n-1) */ + gnext = __QADD(gcurr, (q31_t) (((q63_t) fnext * (*pk++)) >> 31)); + /* y(n) += gN-1(n) * vN-1 */ + /* process for gN-5(n) * vN-5, gN-9(n) * vN-9 ... */ + acc += ((q63_t) gnext * *pv++); + /* write gN-1(n) into state for next sample processing */ + *px2++ = gnext; + + /* Process sample for 3nd, 7th ...taps */ + /* Read gN-3(n-1) from state buffer */ + gcurr = *px1++; + /* Process sample for 3rd, 7th .. taps */ + /* fN-3(n) = fN-2(n) - kN-2 * gN-3(n-1) */ + fcurr = __QSUB(fnext, (q31_t) (((q63_t) gcurr * (*pk)) >> 31)); + /* gN-2(n) = kN-2 * fN-3(n) + gN-3(n-1) */ + gnext = __QADD(gcurr, (q31_t) (((q63_t) fcurr * (*pk++)) >> 31)); + /* y(n) += gN-2(n) * vN-2 */ + /* process for gN-6(n) * vN-6, gN-10(n) * vN-10 ... */ + acc += ((q63_t) gnext * *pv++); + /* write gN-2(n) into state for next sample processing */ + *px2++ = gnext; + + + /* Process sample for 4th, 8th ...taps */ + /* Read gN-4(n-1) from state buffer */ + gcurr = *px1++; + /* Process sample for 4th, 8th .. taps */ + /* fN-4(n) = fN-3(n) - kN-3 * gN-4(n-1) */ + fnext = __QSUB(fcurr, (q31_t) (((q63_t) gcurr * (*pk)) >> 31)); + /* gN-3(n) = kN-3 * fN-4(n) + gN-4(n-1) */ + gnext = __QADD(gcurr, (q31_t) (((q63_t) fnext * (*pk++)) >> 31)); + /* y(n) += gN-3(n) * vN-3 */ + /* process for gN-7(n) * vN-7, gN-11(n) * vN-11 ... */ + acc += ((q63_t) gnext * *pv++); + /* write gN-3(n) into state for next sample processing */ + *px2++ = gnext; + + + /* Process sample for 5th, 9th ...taps */ + /* Read gN-5(n-1) from state buffer */ + gcurr = *px1++; + /* Process sample for 5th, 9th .. taps */ + /* fN-5(n) = fN-4(n) - kN-4 * gN-1(n-1) */ + fcurr = __QSUB(fnext, (q31_t) (((q63_t) gcurr * (*pk)) >> 31)); + /* gN-4(n) = kN-4 * fN-5(n) + gN-5(n-1) */ + gnext = __QADD(gcurr, (q31_t) (((q63_t) fcurr * (*pk++)) >> 31)); + /* y(n) += gN-4(n) * vN-4 */ + /* process for gN-8(n) * vN-8, gN-12(n) * vN-12 ... */ + acc += ((q63_t) gnext * *pv++); + /* write gN-4(n) into state for next sample processing */ + *px2++ = gnext; + + tapCnt--; + + } + + fnext = fcurr; + + /* If the filter length is not a multiple of 4, compute the remaining filter taps */ + tapCnt = (numStages - 1U) % 0x4U; + + while (tapCnt > 0U) + { + gcurr = *px1++; + /* Process sample for last taps */ + fnext = __QSUB(fcurr, (q31_t) (((q63_t) gcurr * (*pk)) >> 31)); + gnext = __QADD(gcurr, (q31_t) (((q63_t) fnext * (*pk++)) >> 31)); + /* Output samples for last taps */ + acc += ((q63_t) gnext * *pv++); + *px2++ = gnext; + fcurr = fnext; + + tapCnt--; + + } + + /* y(n) += g0(n) * v0 */ + acc += (q63_t) fnext *( + *pv++); + + *px2++ = fnext; + + /* write out into pDst */ + *pDst++ = (q31_t) (acc >> 31U); + + /* Advance the state pointer by 4 to process the next group of 4 samples */ + pState = pState + 1U; + blkCnt--; + + } + + /* Processing is complete. Now copy last S->numStages samples to start of the buffer + for the preperation of next frame process */ + + /* Points to the start of the state buffer */ + pStateCurnt = &S->pState[0]; + pState = &S->pState[blockSize]; + + tapCnt = numStages >> 2U; + + /* copy data */ + while (tapCnt > 0U) + { + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + + /* Decrement the loop counter */ + tapCnt--; + + } + + /* Calculate remaining number of copies */ + tapCnt = (numStages) % 0x4U; + + /* Copy the remaining q31_t data */ + while (tapCnt > 0U) + { + *pStateCurnt++ = *pState++; + + /* Decrement the loop counter */ + tapCnt--; + }; + +#else + + /* Run the below code for Cortex-M0 */ + /* Sample processing */ + while (blkCnt > 0U) + { + /* Read Sample from input buffer */ + /* fN(n) = x(n) */ + fcurr = *pSrc++; + + /* Initialize state read pointer */ + px1 = pState; + /* Initialize state write pointer */ + px2 = pState; + /* Set accumulator to zero */ + acc = 0; + /* Initialize Ladder coeff pointer */ + pv = &S->pvCoeffs[0]; + /* Initialize Reflection coeff pointer */ + pk = &S->pkCoeffs[0]; + + tapCnt = numStages; + + while (tapCnt > 0U) + { + gcurr = *px1++; + /* Process sample */ + /* fN-1(n) = fN(n) - kN * gN-1(n-1) */ + fnext = + clip_q63_to_q31(((q63_t) fcurr - + ((q31_t) (((q63_t) gcurr * (*pk)) >> 31)))); + /* gN(n) = kN * fN-1(n) + gN-1(n-1) */ + gnext = + clip_q63_to_q31(((q63_t) gcurr + + ((q31_t) (((q63_t) fnext * (*pk++)) >> 31)))); + /* Output samples */ + /* y(n) += gN(n) * vN */ + acc += ((q63_t) gnext * *pv++); + /* write gN-1(n-1) into state for next sample processing */ + *px2++ = gnext; + /* Update f values for next coefficient processing */ + fcurr = fnext; + + tapCnt--; + } + + /* y(n) += g0(n) * v0 */ + acc += (q63_t) fnext *( + *pv++); + + *px2++ = fnext; + + /* write out into pDst */ + *pDst++ = (q31_t) (acc >> 31U); + + /* Advance the state pointer by 1 to process the next group of samples */ + pState = pState + 1U; + blkCnt--; + + } + + /* Processing is complete. Now copy last S->numStages samples to start of the buffer + for the preperation of next frame process */ + + /* Points to the start of the state buffer */ + pStateCurnt = &S->pState[0]; + pState = &S->pState[blockSize]; + + tapCnt = numStages; + + /* Copy the remaining q31_t data */ + while (tapCnt > 0U) + { + *pStateCurnt++ = *pState++; + + /* Decrement the loop counter */ + tapCnt--; + } + +#endif /* #if defined (ARM_MATH_DSP) */ + +} + + + + +/** + * @} end of IIR_Lattice group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_f32.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_f32.c new file mode 100644 index 0000000..3975f00 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_f32.c @@ -0,0 +1,430 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_lms_f32.c + * Description: Processing function for the floating-point LMS filter + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupFilters + */ + +/** + * @defgroup LMS Least Mean Square (LMS) Filters + * + * LMS filters are a class of adaptive filters that are able to "learn" an unknown transfer functions. + * LMS filters use a gradient descent method in which the filter coefficients are updated based on the instantaneous error signal. + * Adaptive filters are often used in communication systems, equalizers, and noise removal. + * The CMSIS DSP Library contains LMS filter functions that operate on Q15, Q31, and floating-point data types. + * The library also contains normalized LMS filters in which the filter coefficient adaptation is indepedent of the level of the input signal. + * + * An LMS filter consists of two components as shown below. + * The first component is a standard transversal or FIR filter. + * The second component is a coefficient update mechanism. + * The LMS filter has two input signals. + * The "input" feeds the FIR filter while the "reference input" corresponds to the desired output of the FIR filter. + * That is, the FIR filter coefficients are updated so that the output of the FIR filter matches the reference input. + * The filter coefficient update mechanism is based on the difference between the FIR filter output and the reference input. + * This "error signal" tends towards zero as the filter adapts. + * The LMS processing functions accept the input and reference input signals and generate the filter output and error signal. + * \image html LMS.gif "Internal structure of the Least Mean Square filter" + * + * The functions operate on blocks of data and each call to the function processes + * blockSize samples through the filter. + * pSrc points to input signal, pRef points to reference signal, + * pOut points to output signal and pErr points to error signal. + * All arrays contain blockSize values. + * + * The functions operate on a block-by-block basis. + * Internally, the filter coefficients b[n] are updated on a sample-by-sample basis. + * The convergence of the LMS filter is slower compared to the normalized LMS algorithm. + * + * \par Algorithm: + * The output signal y[n] is computed by a standard FIR filter: + *
+ *     y[n] = b[0] * x[n] + b[1] * x[n-1] + b[2] * x[n-2] + ...+ b[numTaps-1] * x[n-numTaps+1]
+ * 
+ * + * \par + * The error signal equals the difference between the reference signal d[n] and the filter output: + *
+ *     e[n] = d[n] - y[n].
+ * 
+ * + * \par + * After each sample of the error signal is computed, the filter coefficients b[k] are updated on a sample-by-sample basis: + *
+ *     b[k] = b[k] + e[n] * mu * x[n-k],  for k=0, 1, ..., numTaps-1
+ * 
+ * where mu is the step size and controls the rate of coefficient convergence. + *\par + * In the APIs, pCoeffs points to a coefficient array of size numTaps. + * Coefficients are stored in time reversed order. + * \par + *
+ *    {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+ * 
+ * \par + * pState points to a state array of size numTaps + blockSize - 1. + * Samples in the state buffer are stored in the order: + * \par + *
+ *    {x[n-numTaps+1], x[n-numTaps], x[n-numTaps-1], x[n-numTaps-2]....x[0], x[1], ..., x[blockSize-1]}
+ * 
+ * \par + * Note that the length of the state buffer exceeds the length of the coefficient array by blockSize-1 samples. + * The increased state buffer length allows circular addressing, which is traditionally used in FIR filters, + * to be avoided and yields a significant speed improvement. + * The state variables are updated after each block of data is processed. + * \par Instance Structure + * The coefficients and state variables for a filter are stored together in an instance data structure. + * A separate instance structure must be defined for each filter and + * coefficient and state arrays cannot be shared among instances. + * There are separate instance structure declarations for each of the 3 supported data types. + * + * \par Initialization Functions + * There is also an associated initialization function for each data type. + * The initialization function performs the following operations: + * - Sets the values of the internal structure fields. + * - Zeros out the values in the state buffer. + * To do this manually without calling the init function, assign the follow subfields of the instance structure: + * numTaps, pCoeffs, mu, postShift (not for f32), pState. Also set all of the values in pState to zero. + * + * \par + * Use of the initialization function is optional. + * However, if the initialization function is used, then the instance structure cannot be placed into a const data section. + * To place an instance structure into a const data section, the instance structure must be manually initialized. + * Set the values in the state buffer to zeros before static initialization. + * The code below statically initializes each of the 3 different data type filter instance structures + *
+ *    arm_lms_instance_f32 S = {numTaps, pState, pCoeffs, mu};
+ *    arm_lms_instance_q31 S = {numTaps, pState, pCoeffs, mu, postShift};
+ *    arm_lms_instance_q15 S = {numTaps, pState, pCoeffs, mu, postShift};
+ * 
+ * where numTaps is the number of filter coefficients in the filter; pState is the address of the state buffer; + * pCoeffs is the address of the coefficient buffer; mu is the step size parameter; and postShift is the shift applied to coefficients. + * + * \par Fixed-Point Behavior: + * Care must be taken when using the Q15 and Q31 versions of the LMS filter. + * The following issues must be considered: + * - Scaling of coefficients + * - Overflow and saturation + * + * \par Scaling of Coefficients: + * Filter coefficients are represented as fractional values and + * coefficients are restricted to lie in the range [-1 +1). + * The fixed-point functions have an additional scaling parameter postShift. + * At the output of the filter's accumulator is a shift register which shifts the result by postShift bits. + * This essentially scales the filter coefficients by 2^postShift and + * allows the filter coefficients to exceed the range [+1 -1). + * The value of postShift is set by the user based on the expected gain through the system being modeled. + * + * \par Overflow and Saturation: + * Overflow and saturation behavior of the fixed-point Q15 and Q31 versions are + * described separately as part of the function specific documentation below. + */ + +/** + * @addtogroup LMS + * @{ + */ + +/** + * @details + * This function operates on floating-point data types. + * + * @brief Processing function for floating-point LMS filter. + * @param[in] *S points to an instance of the floating-point LMS filter structure. + * @param[in] *pSrc points to the block of input data. + * @param[in] *pRef points to the block of reference data. + * @param[out] *pOut points to the block of output data. + * @param[out] *pErr points to the block of error data. + * @param[in] blockSize number of samples to process. + * @return none. + */ + +void arm_lms_f32( + const arm_lms_instance_f32 * S, + float32_t * pSrc, + float32_t * pRef, + float32_t * pOut, + float32_t * pErr, + uint32_t blockSize) +{ + float32_t *pState = S->pState; /* State pointer */ + float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + float32_t *pStateCurnt; /* Points to the current sample of the state */ + float32_t *px, *pb; /* Temporary pointers for state and coefficient buffers */ + float32_t mu = S->mu; /* Adaptive factor */ + uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */ + uint32_t tapCnt, blkCnt; /* Loop counters */ + float32_t sum, e, d; /* accumulator, error, reference data sample */ + float32_t w = 0.0f; /* weight factor */ + + e = 0.0f; + d = 0.0f; + + /* S->pState points to state array which contains previous frame (numTaps - 1) samples */ + /* pStateCurnt points to the location where the new input data should be written */ + pStateCurnt = &(S->pState[(numTaps - 1U)]); + + blkCnt = blockSize; + + +#if defined (ARM_MATH_DSP) + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + while (blkCnt > 0U) + { + /* Copy the new input sample into the state buffer */ + *pStateCurnt++ = *pSrc++; + + /* Initialize pState pointer */ + px = pState; + + /* Initialize coeff pointer */ + pb = (pCoeffs); + + /* Set the accumulator to zero */ + sum = 0.0f; + + /* Loop unrolling. Process 4 taps at a time. */ + tapCnt = numTaps >> 2; + + while (tapCnt > 0U) + { + /* Perform the multiply-accumulate */ + sum += (*px++) * (*pb++); + sum += (*px++) * (*pb++); + sum += (*px++) * (*pb++); + sum += (*px++) * (*pb++); + + /* Decrement the loop counter */ + tapCnt--; + } + + /* If the filter length is not a multiple of 4, compute the remaining filter taps */ + tapCnt = numTaps % 0x4U; + + while (tapCnt > 0U) + { + /* Perform the multiply-accumulate */ + sum += (*px++) * (*pb++); + + /* Decrement the loop counter */ + tapCnt--; + } + + /* The result in the accumulator, store in the destination buffer. */ + *pOut++ = sum; + + /* Compute and store error */ + d = (float32_t) (*pRef++); + e = d - sum; + *pErr++ = e; + + /* Calculation of Weighting factor for the updating filter coefficients */ + w = e * mu; + + /* Initialize pState pointer */ + px = pState; + + /* Initialize coeff pointer */ + pb = (pCoeffs); + + /* Loop unrolling. Process 4 taps at a time. */ + tapCnt = numTaps >> 2; + + /* Update filter coefficients */ + while (tapCnt > 0U) + { + /* Perform the multiply-accumulate */ + *pb = *pb + (w * (*px++)); + pb++; + + *pb = *pb + (w * (*px++)); + pb++; + + *pb = *pb + (w * (*px++)); + pb++; + + *pb = *pb + (w * (*px++)); + pb++; + + /* Decrement the loop counter */ + tapCnt--; + } + + /* If the filter length is not a multiple of 4, compute the remaining filter taps */ + tapCnt = numTaps % 0x4U; + + while (tapCnt > 0U) + { + /* Perform the multiply-accumulate */ + *pb = *pb + (w * (*px++)); + pb++; + + /* Decrement the loop counter */ + tapCnt--; + } + + /* Advance state pointer by 1 for the next sample */ + pState = pState + 1; + + /* Decrement the loop counter */ + blkCnt--; + } + + + /* Processing is complete. Now copy the last numTaps - 1 samples to the + satrt of the state buffer. This prepares the state buffer for the + next function call. */ + + /* Points to the start of the pState buffer */ + pStateCurnt = S->pState; + + /* Loop unrolling for (numTaps - 1U) samples copy */ + tapCnt = (numTaps - 1U) >> 2U; + + /* copy data */ + while (tapCnt > 0U) + { + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + + /* Decrement the loop counter */ + tapCnt--; + } + + /* Calculate remaining number of copies */ + tapCnt = (numTaps - 1U) % 0x4U; + + /* Copy the remaining q31_t data */ + while (tapCnt > 0U) + { + *pStateCurnt++ = *pState++; + + /* Decrement the loop counter */ + tapCnt--; + } + +#else + + /* Run the below code for Cortex-M0 */ + + while (blkCnt > 0U) + { + /* Copy the new input sample into the state buffer */ + *pStateCurnt++ = *pSrc++; + + /* Initialize pState pointer */ + px = pState; + + /* Initialize pCoeffs pointer */ + pb = pCoeffs; + + /* Set the accumulator to zero */ + sum = 0.0f; + + /* Loop over numTaps number of values */ + tapCnt = numTaps; + + while (tapCnt > 0U) + { + /* Perform the multiply-accumulate */ + sum += (*px++) * (*pb++); + + /* Decrement the loop counter */ + tapCnt--; + } + + /* The result is stored in the destination buffer. */ + *pOut++ = sum; + + /* Compute and store error */ + d = (float32_t) (*pRef++); + e = d - sum; + *pErr++ = e; + + /* Weighting factor for the LMS version */ + w = e * mu; + + /* Initialize pState pointer */ + px = pState; + + /* Initialize pCoeffs pointer */ + pb = pCoeffs; + + /* Loop over numTaps number of values */ + tapCnt = numTaps; + + while (tapCnt > 0U) + { + /* Perform the multiply-accumulate */ + *pb = *pb + (w * (*px++)); + pb++; + + /* Decrement the loop counter */ + tapCnt--; + } + + /* Advance state pointer by 1 for the next sample */ + pState = pState + 1; + + /* Decrement the loop counter */ + blkCnt--; + } + + + /* Processing is complete. Now copy the last numTaps - 1 samples to the + * start of the state buffer. This prepares the state buffer for the + * next function call. */ + + /* Points to the start of the pState buffer */ + pStateCurnt = S->pState; + + /* Copy (numTaps - 1U) samples */ + tapCnt = (numTaps - 1U); + + /* Copy the data */ + while (tapCnt > 0U) + { + *pStateCurnt++ = *pState++; + + /* Decrement the loop counter */ + tapCnt--; + } + +#endif /* #if defined (ARM_MATH_DSP) */ + +} + +/** + * @} end of LMS group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_init_f32.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_init_f32.c new file mode 100644 index 0000000..73158bb --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_init_f32.c @@ -0,0 +1,83 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_lms_init_f32.c + * Description: Floating-point LMS filter initialization function + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @addtogroup LMS + * @{ + */ + + /** + * @brief Initialization function for floating-point LMS filter. + * @param[in] *S points to an instance of the floating-point LMS filter structure. + * @param[in] numTaps number of filter coefficients. + * @param[in] *pCoeffs points to the coefficient buffer. + * @param[in] *pState points to state buffer. + * @param[in] mu step size that controls filter coefficient updates. + * @param[in] blockSize number of samples to process. + * @return none. + */ + +/** + * \par Description: + * pCoeffs points to the array of filter coefficients stored in time reversed order: + *
+ *    {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+ * 
+ * The initial filter coefficients serve as a starting point for the adaptive filter. + * pState points to an array of length numTaps+blockSize-1 samples, where blockSize is the number of input samples processed by each call to arm_lms_f32(). + */ + +void arm_lms_init_f32( + arm_lms_instance_f32 * S, + uint16_t numTaps, + float32_t * pCoeffs, + float32_t * pState, + float32_t mu, + uint32_t blockSize) +{ + /* Assign filter taps */ + S->numTaps = numTaps; + + /* Assign coefficient pointer */ + S->pCoeffs = pCoeffs; + + /* Clear state buffer and size is always blockSize + numTaps */ + memset(pState, 0, (numTaps + (blockSize - 1)) * sizeof(float32_t)); + + /* Assign state pointer */ + S->pState = pState; + + /* Assign Step size value */ + S->mu = mu; +} + +/** + * @} end of LMS group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_init_q15.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_init_q15.c new file mode 100644 index 0000000..001287d --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_init_q15.c @@ -0,0 +1,93 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_lms_init_q15.c + * Description: Q15 LMS filter initialization function + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupFilters + */ + +/** + * @addtogroup LMS + * @{ + */ + +/** +* @brief Initialization function for the Q15 LMS filter. +* @param[in] *S points to an instance of the Q15 LMS filter structure. +* @param[in] numTaps number of filter coefficients. +* @param[in] *pCoeffs points to the coefficient buffer. +* @param[in] *pState points to the state buffer. +* @param[in] mu step size that controls filter coefficient updates. +* @param[in] blockSize number of samples to process. +* @param[in] postShift bit shift applied to coefficients. +* @return none. +* +* \par Description: +* pCoeffs points to the array of filter coefficients stored in time reversed order: +*
+*    {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+* 
+* The initial filter coefficients serve as a starting point for the adaptive filter. +* pState points to the array of state variables and size of array is +* numTaps+blockSize-1 samples, where blockSize is the number of +* input samples processed by each call to arm_lms_q15(). +*/ + +void arm_lms_init_q15( + arm_lms_instance_q15 * S, + uint16_t numTaps, + q15_t * pCoeffs, + q15_t * pState, + q15_t mu, + uint32_t blockSize, + uint32_t postShift) +{ + /* Assign filter taps */ + S->numTaps = numTaps; + + /* Assign coefficient pointer */ + S->pCoeffs = pCoeffs; + + /* Clear state buffer and size is always blockSize + numTaps - 1 */ + memset(pState, 0, (numTaps + (blockSize - 1U)) * sizeof(q15_t)); + + /* Assign state pointer */ + S->pState = pState; + + /* Assign Step size value */ + S->mu = mu; + + /* Assign postShift value to be applied */ + S->postShift = postShift; + +} + +/** + * @} end of LMS group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_init_q31.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_init_q31.c new file mode 100644 index 0000000..7d95d97 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_init_q31.c @@ -0,0 +1,93 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_lms_init_q31.c + * Description: Q31 LMS filter initialization function + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupFilters + */ + +/** + * @addtogroup LMS + * @{ + */ + + /** + * @brief Initialization function for Q31 LMS filter. + * @param[in] *S points to an instance of the Q31 LMS filter structure. + * @param[in] numTaps number of filter coefficients. + * @param[in] *pCoeffs points to coefficient buffer. + * @param[in] *pState points to state buffer. + * @param[in] mu step size that controls filter coefficient updates. + * @param[in] blockSize number of samples to process. + * @param[in] postShift bit shift applied to coefficients. + * @return none. + * + * \par Description: + * pCoeffs points to the array of filter coefficients stored in time reversed order: + *
+ *    {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+ * 
+ * The initial filter coefficients serve as a starting point for the adaptive filter. + * pState points to an array of length numTaps+blockSize-1 samples, + * where blockSize is the number of input samples processed by each call to + * arm_lms_q31(). + */ + +void arm_lms_init_q31( + arm_lms_instance_q31 * S, + uint16_t numTaps, + q31_t * pCoeffs, + q31_t * pState, + q31_t mu, + uint32_t blockSize, + uint32_t postShift) +{ + /* Assign filter taps */ + S->numTaps = numTaps; + + /* Assign coefficient pointer */ + S->pCoeffs = pCoeffs; + + /* Clear state buffer and size is always blockSize + numTaps - 1 */ + memset(pState, 0, ((uint32_t) numTaps + (blockSize - 1U)) * sizeof(q31_t)); + + /* Assign state pointer */ + S->pState = pState; + + /* Assign Step size value */ + S->mu = mu; + + /* Assign postShift value to be applied */ + S->postShift = postShift; + +} + +/** + * @} end of LMS group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_f32.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_f32.c new file mode 100644 index 0000000..a365b33 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_f32.c @@ -0,0 +1,454 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_lms_norm_f32.c + * Description: Processing function for the floating-point Normalised LMS + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupFilters + */ + +/** + * @defgroup LMS_NORM Normalized LMS Filters + * + * This set of functions implements a commonly used adaptive filter. + * It is related to the Least Mean Square (LMS) adaptive filter and includes an additional normalization + * factor which increases the adaptation rate of the filter. + * The CMSIS DSP Library contains normalized LMS filter functions that operate on Q15, Q31, and floating-point data types. + * + * A normalized least mean square (NLMS) filter consists of two components as shown below. + * The first component is a standard transversal or FIR filter. + * The second component is a coefficient update mechanism. + * The NLMS filter has two input signals. + * The "input" feeds the FIR filter while the "reference input" corresponds to the desired output of the FIR filter. + * That is, the FIR filter coefficients are updated so that the output of the FIR filter matches the reference input. + * The filter coefficient update mechanism is based on the difference between the FIR filter output and the reference input. + * This "error signal" tends towards zero as the filter adapts. + * The NLMS processing functions accept the input and reference input signals and generate the filter output and error signal. + * \image html LMS.gif "Internal structure of the NLMS adaptive filter" + * + * The functions operate on blocks of data and each call to the function processes + * blockSize samples through the filter. + * pSrc points to input signal, pRef points to reference signal, + * pOut points to output signal and pErr points to error signal. + * All arrays contain blockSize values. + * + * The functions operate on a block-by-block basis. + * Internally, the filter coefficients b[n] are updated on a sample-by-sample basis. + * The convergence of the LMS filter is slower compared to the normalized LMS algorithm. + * + * \par Algorithm: + * The output signal y[n] is computed by a standard FIR filter: + *
+ *     y[n] = b[0] * x[n] + b[1] * x[n-1] + b[2] * x[n-2] + ...+ b[numTaps-1] * x[n-numTaps+1]
+ * 
+ * + * \par + * The error signal equals the difference between the reference signal d[n] and the filter output: + *
+ *     e[n] = d[n] - y[n].
+ * 
+ * + * \par + * After each sample of the error signal is computed the instanteous energy of the filter state variables is calculated: + *
+ *    E = x[n]^2 + x[n-1]^2 + ... + x[n-numTaps+1]^2.
+ * 
+ * The filter coefficients b[k] are then updated on a sample-by-sample basis: + *
+ *     b[k] = b[k] + e[n] * (mu/E) * x[n-k],  for k=0, 1, ..., numTaps-1
+ * 
+ * where mu is the step size and controls the rate of coefficient convergence. + *\par + * In the APIs, pCoeffs points to a coefficient array of size numTaps. + * Coefficients are stored in time reversed order. + * \par + *
+ *    {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+ * 
+ * \par + * pState points to a state array of size numTaps + blockSize - 1. + * Samples in the state buffer are stored in the order: + * \par + *
+ *    {x[n-numTaps+1], x[n-numTaps], x[n-numTaps-1], x[n-numTaps-2]....x[0], x[1], ..., x[blockSize-1]}
+ * 
+ * \par + * Note that the length of the state buffer exceeds the length of the coefficient array by blockSize-1 samples. + * The increased state buffer length allows circular addressing, which is traditionally used in FIR filters, + * to be avoided and yields a significant speed improvement. + * The state variables are updated after each block of data is processed. + * \par Instance Structure + * The coefficients and state variables for a filter are stored together in an instance data structure. + * A separate instance structure must be defined for each filter and + * coefficient and state arrays cannot be shared among instances. + * There are separate instance structure declarations for each of the 3 supported data types. + * + * \par Initialization Functions + * There is also an associated initialization function for each data type. + * The initialization function performs the following operations: + * - Sets the values of the internal structure fields. + * - Zeros out the values in the state buffer. + * To do this manually without calling the init function, assign the follow subfields of the instance structure: + * numTaps, pCoeffs, mu, energy, x0, pState. Also set all of the values in pState to zero. + * For Q7, Q15, and Q31 the following fields must also be initialized; + * recipTable, postShift + * + * \par + * Instance structure cannot be placed into a const data section and it is recommended to use the initialization function. + * \par Fixed-Point Behavior: + * Care must be taken when using the Q15 and Q31 versions of the normalised LMS filter. + * The following issues must be considered: + * - Scaling of coefficients + * - Overflow and saturation + * + * \par Scaling of Coefficients: + * Filter coefficients are represented as fractional values and + * coefficients are restricted to lie in the range [-1 +1). + * The fixed-point functions have an additional scaling parameter postShift. + * At the output of the filter's accumulator is a shift register which shifts the result by postShift bits. + * This essentially scales the filter coefficients by 2^postShift and + * allows the filter coefficients to exceed the range [+1 -1). + * The value of postShift is set by the user based on the expected gain through the system being modeled. + * + * \par Overflow and Saturation: + * Overflow and saturation behavior of the fixed-point Q15 and Q31 versions are + * described separately as part of the function specific documentation below. + */ + + +/** + * @addtogroup LMS_NORM + * @{ + */ + + + /** + * @brief Processing function for floating-point normalized LMS filter. + * @param[in] *S points to an instance of the floating-point normalized LMS filter structure. + * @param[in] *pSrc points to the block of input data. + * @param[in] *pRef points to the block of reference data. + * @param[out] *pOut points to the block of output data. + * @param[out] *pErr points to the block of error data. + * @param[in] blockSize number of samples to process. + * @return none. + */ + +void arm_lms_norm_f32( + arm_lms_norm_instance_f32 * S, + float32_t * pSrc, + float32_t * pRef, + float32_t * pOut, + float32_t * pErr, + uint32_t blockSize) +{ + float32_t *pState = S->pState; /* State pointer */ + float32_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + float32_t *pStateCurnt; /* Points to the current sample of the state */ + float32_t *px, *pb; /* Temporary pointers for state and coefficient buffers */ + float32_t mu = S->mu; /* Adaptive factor */ + uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */ + uint32_t tapCnt, blkCnt; /* Loop counters */ + float32_t energy; /* Energy of the input */ + float32_t sum, e, d; /* accumulator, error, reference data sample */ + float32_t w, x0, in; /* weight factor, temporary variable to hold input sample and state */ + + /* Initializations of error, difference, Coefficient update */ + e = 0.0f; + d = 0.0f; + w = 0.0f; + + energy = S->energy; + x0 = S->x0; + + /* S->pState points to buffer which contains previous frame (numTaps - 1) samples */ + /* pStateCurnt points to the location where the new input data should be written */ + pStateCurnt = &(S->pState[(numTaps - 1U)]); + + /* Loop over blockSize number of values */ + blkCnt = blockSize; + + +#if defined (ARM_MATH_DSP) + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + while (blkCnt > 0U) + { + /* Copy the new input sample into the state buffer */ + *pStateCurnt++ = *pSrc; + + /* Initialize pState pointer */ + px = pState; + + /* Initialize coeff pointer */ + pb = (pCoeffs); + + /* Read the sample from input buffer */ + in = *pSrc++; + + /* Update the energy calculation */ + energy -= x0 * x0; + energy += in * in; + + /* Set the accumulator to zero */ + sum = 0.0f; + + /* Loop unrolling. Process 4 taps at a time. */ + tapCnt = numTaps >> 2; + + while (tapCnt > 0U) + { + /* Perform the multiply-accumulate */ + sum += (*px++) * (*pb++); + sum += (*px++) * (*pb++); + sum += (*px++) * (*pb++); + sum += (*px++) * (*pb++); + + /* Decrement the loop counter */ + tapCnt--; + } + + /* If the filter length is not a multiple of 4, compute the remaining filter taps */ + tapCnt = numTaps % 0x4U; + + while (tapCnt > 0U) + { + /* Perform the multiply-accumulate */ + sum += (*px++) * (*pb++); + + /* Decrement the loop counter */ + tapCnt--; + } + + /* The result in the accumulator, store in the destination buffer. */ + *pOut++ = sum; + + /* Compute and store error */ + d = (float32_t) (*pRef++); + e = d - sum; + *pErr++ = e; + + /* Calculation of Weighting factor for updating filter coefficients */ + /* epsilon value 0.000000119209289f */ + w = (e * mu) / (energy + 0.000000119209289f); + + /* Initialize pState pointer */ + px = pState; + + /* Initialize coeff pointer */ + pb = (pCoeffs); + + /* Loop unrolling. Process 4 taps at a time. */ + tapCnt = numTaps >> 2; + + /* Update filter coefficients */ + while (tapCnt > 0U) + { + /* Perform the multiply-accumulate */ + *pb += w * (*px++); + pb++; + + *pb += w * (*px++); + pb++; + + *pb += w * (*px++); + pb++; + + *pb += w * (*px++); + pb++; + + + /* Decrement the loop counter */ + tapCnt--; + } + + /* If the filter length is not a multiple of 4, compute the remaining filter taps */ + tapCnt = numTaps % 0x4U; + + while (tapCnt > 0U) + { + /* Perform the multiply-accumulate */ + *pb += w * (*px++); + pb++; + + /* Decrement the loop counter */ + tapCnt--; + } + + x0 = *pState; + + /* Advance state pointer by 1 for the next sample */ + pState = pState + 1; + + /* Decrement the loop counter */ + blkCnt--; + } + + S->energy = energy; + S->x0 = x0; + + /* Processing is complete. Now copy the last numTaps - 1 samples to the + satrt of the state buffer. This prepares the state buffer for the + next function call. */ + + /* Points to the start of the pState buffer */ + pStateCurnt = S->pState; + + /* Loop unrolling for (numTaps - 1U)/4 samples copy */ + tapCnt = (numTaps - 1U) >> 2U; + + /* copy data */ + while (tapCnt > 0U) + { + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + + /* Decrement the loop counter */ + tapCnt--; + } + + /* Calculate remaining number of copies */ + tapCnt = (numTaps - 1U) % 0x4U; + + /* Copy the remaining q31_t data */ + while (tapCnt > 0U) + { + *pStateCurnt++ = *pState++; + + /* Decrement the loop counter */ + tapCnt--; + } + +#else + + /* Run the below code for Cortex-M0 */ + + while (blkCnt > 0U) + { + /* Copy the new input sample into the state buffer */ + *pStateCurnt++ = *pSrc; + + /* Initialize pState pointer */ + px = pState; + + /* Initialize pCoeffs pointer */ + pb = pCoeffs; + + /* Read the sample from input buffer */ + in = *pSrc++; + + /* Update the energy calculation */ + energy -= x0 * x0; + energy += in * in; + + /* Set the accumulator to zero */ + sum = 0.0f; + + /* Loop over numTaps number of values */ + tapCnt = numTaps; + + while (tapCnt > 0U) + { + /* Perform the multiply-accumulate */ + sum += (*px++) * (*pb++); + + /* Decrement the loop counter */ + tapCnt--; + } + + /* The result in the accumulator is stored in the destination buffer. */ + *pOut++ = sum; + + /* Compute and store error */ + d = (float32_t) (*pRef++); + e = d - sum; + *pErr++ = e; + + /* Calculation of Weighting factor for updating filter coefficients */ + /* epsilon value 0.000000119209289f */ + w = (e * mu) / (energy + 0.000000119209289f); + + /* Initialize pState pointer */ + px = pState; + + /* Initialize pCcoeffs pointer */ + pb = pCoeffs; + + /* Loop over numTaps number of values */ + tapCnt = numTaps; + + while (tapCnt > 0U) + { + /* Perform the multiply-accumulate */ + *pb += w * (*px++); + pb++; + + /* Decrement the loop counter */ + tapCnt--; + } + + x0 = *pState; + + /* Advance state pointer by 1 for the next sample */ + pState = pState + 1; + + /* Decrement the loop counter */ + blkCnt--; + } + + S->energy = energy; + S->x0 = x0; + + /* Processing is complete. Now copy the last numTaps - 1 samples to the + satrt of the state buffer. This prepares the state buffer for the + next function call. */ + + /* Points to the start of the pState buffer */ + pStateCurnt = S->pState; + + /* Copy (numTaps - 1U) samples */ + tapCnt = (numTaps - 1U); + + /* Copy the remaining q31_t data */ + while (tapCnt > 0U) + { + *pStateCurnt++ = *pState++; + + /* Decrement the loop counter */ + tapCnt--; + } + +#endif /* #if defined (ARM_MATH_DSP) */ + +} + +/** + * @} end of LMS_NORM group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_init_f32.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_init_f32.c new file mode 100644 index 0000000..49272f8 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_init_f32.c @@ -0,0 +1,93 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_lms_norm_init_f32.c + * Description: Floating-point NLMS filter initialization function + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupFilters + */ + +/** + * @addtogroup LMS_NORM + * @{ + */ + + /** + * @brief Initialization function for floating-point normalized LMS filter. + * @param[in] *S points to an instance of the floating-point LMS filter structure. + * @param[in] numTaps number of filter coefficients. + * @param[in] *pCoeffs points to coefficient buffer. + * @param[in] *pState points to state buffer. + * @param[in] mu step size that controls filter coefficient updates. + * @param[in] blockSize number of samples to process. + * @return none. + * + * \par Description: + * pCoeffs points to the array of filter coefficients stored in time reversed order: + *
+ *    {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+ * 
+ * The initial filter coefficients serve as a starting point for the adaptive filter. + * pState points to an array of length numTaps+blockSize-1 samples, + * where blockSize is the number of input samples processed by each call to arm_lms_norm_f32(). + */ + +void arm_lms_norm_init_f32( + arm_lms_norm_instance_f32 * S, + uint16_t numTaps, + float32_t * pCoeffs, + float32_t * pState, + float32_t mu, + uint32_t blockSize) +{ + /* Assign filter taps */ + S->numTaps = numTaps; + + /* Assign coefficient pointer */ + S->pCoeffs = pCoeffs; + + /* Clear state buffer and size is always blockSize + numTaps - 1 */ + memset(pState, 0, (numTaps + (blockSize - 1U)) * sizeof(float32_t)); + + /* Assign state pointer */ + S->pState = pState; + + /* Assign Step size value */ + S->mu = mu; + + /* Initialise Energy to zero */ + S->energy = 0.0f; + + /* Initialise x0 to zero */ + S->x0 = 0.0f; + +} + +/** + * @} end of LMS_NORM group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_init_q15.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_init_q15.c new file mode 100644 index 0000000..0624222 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_init_q15.c @@ -0,0 +1,100 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_lms_norm_init_q15.c + * Description: Q15 NLMS initialization function + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include "arm_common_tables.h" + +/** + * @addtogroup LMS_NORM + * @{ + */ + + /** + * @brief Initialization function for Q15 normalized LMS filter. + * @param[in] *S points to an instance of the Q15 normalized LMS filter structure. + * @param[in] numTaps number of filter coefficients. + * @param[in] *pCoeffs points to coefficient buffer. + * @param[in] *pState points to state buffer. + * @param[in] mu step size that controls filter coefficient updates. + * @param[in] blockSize number of samples to process. + * @param[in] postShift bit shift applied to coefficients. + * @return none. + * + * Description: + * \par + * pCoeffs points to the array of filter coefficients stored in time reversed order: + *
+ *    {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+ * 
+ * The initial filter coefficients serve as a starting point for the adaptive filter. + * pState points to the array of state variables and size of array is + * numTaps+blockSize-1 samples, where blockSize is the number of input samples processed + * by each call to arm_lms_norm_q15(). + */ + +void arm_lms_norm_init_q15( + arm_lms_norm_instance_q15 * S, + uint16_t numTaps, + q15_t * pCoeffs, + q15_t * pState, + q15_t mu, + uint32_t blockSize, + uint8_t postShift) +{ + /* Assign filter taps */ + S->numTaps = numTaps; + + /* Assign coefficient pointer */ + S->pCoeffs = pCoeffs; + + /* Clear state buffer and size is always blockSize + numTaps - 1 */ + memset(pState, 0, (numTaps + (blockSize - 1U)) * sizeof(q15_t)); + + /* Assign post Shift value applied to coefficients */ + S->postShift = postShift; + + /* Assign state pointer */ + S->pState = pState; + + /* Assign Step size value */ + S->mu = mu; + + /* Initialize reciprocal pointer table */ + S->recipTable = (q15_t *) armRecipTableQ15; + + /* Initialise Energy to zero */ + S->energy = 0; + + /* Initialise x0 to zero */ + S->x0 = 0; + +} + +/** + * @} end of LMS_NORM group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_init_q31.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_init_q31.c new file mode 100644 index 0000000..4f70408 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_init_q31.c @@ -0,0 +1,99 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_lms_norm_init_q31.c + * Description: Q31 NLMS initialization function + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include "arm_common_tables.h" + +/** + * @addtogroup LMS_NORM + * @{ + */ + + /** + * @brief Initialization function for Q31 normalized LMS filter. + * @param[in] *S points to an instance of the Q31 normalized LMS filter structure. + * @param[in] numTaps number of filter coefficients. + * @param[in] *pCoeffs points to coefficient buffer. + * @param[in] *pState points to state buffer. + * @param[in] mu step size that controls filter coefficient updates. + * @param[in] blockSize number of samples to process. + * @param[in] postShift bit shift applied to coefficients. + * @return none. + * + * Description: + * \par + * pCoeffs points to the array of filter coefficients stored in time reversed order: + *
+ *    {b[numTaps-1], b[numTaps-2], b[N-2], ..., b[1], b[0]}
+ * 
+ * The initial filter coefficients serve as a starting point for the adaptive filter. + * pState points to an array of length numTaps+blockSize-1 samples, + * where blockSize is the number of input samples processed by each call to arm_lms_norm_q31(). + */ + +void arm_lms_norm_init_q31( + arm_lms_norm_instance_q31 * S, + uint16_t numTaps, + q31_t * pCoeffs, + q31_t * pState, + q31_t mu, + uint32_t blockSize, + uint8_t postShift) +{ + /* Assign filter taps */ + S->numTaps = numTaps; + + /* Assign coefficient pointer */ + S->pCoeffs = pCoeffs; + + /* Clear state buffer and size is always blockSize + numTaps - 1 */ + memset(pState, 0, (numTaps + (blockSize - 1U)) * sizeof(q31_t)); + + /* Assign post Shift value applied to coefficients */ + S->postShift = postShift; + + /* Assign state pointer */ + S->pState = pState; + + /* Assign Step size value */ + S->mu = mu; + + /* Initialize reciprocal pointer table */ + S->recipTable = (q31_t *) armRecipTableQ31; + + /* Initialise Energy to zero */ + S->energy = 0; + + /* Initialise x0 to zero */ + S->x0 = 0; + +} + +/** + * @} end of LMS_NORM group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_q15.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_q15.c new file mode 100644 index 0000000..00bde39 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_q15.c @@ -0,0 +1,428 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_lms_norm_q15.c + * Description: Q15 NLMS filter + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupFilters + */ + +/** + * @addtogroup LMS_NORM + * @{ + */ + +/** +* @brief Processing function for Q15 normalized LMS filter. +* @param[in] *S points to an instance of the Q15 normalized LMS filter structure. +* @param[in] *pSrc points to the block of input data. +* @param[in] *pRef points to the block of reference data. +* @param[out] *pOut points to the block of output data. +* @param[out] *pErr points to the block of error data. +* @param[in] blockSize number of samples to process. +* @return none. +* +* Scaling and Overflow Behavior: +* \par +* The function is implemented using a 64-bit internal accumulator. +* Both coefficients and state variables are represented in 1.15 format and +* multiplications yield a 2.30 result. The 2.30 intermediate results are +* accumulated in a 64-bit accumulator in 34.30 format. +* There is no risk of internal overflow with this approach and the full +* precision of intermediate multiplications is preserved. After all additions +* have been performed, the accumulator is truncated to 34.15 format by +* discarding low 15 bits. Lastly, the accumulator is saturated to yield a +* result in 1.15 format. +* +* \par +* In this filter, filter coefficients are updated for each sample and the updation of filter cofficients are saturted. +* + */ + +void arm_lms_norm_q15( + arm_lms_norm_instance_q15 * S, + q15_t * pSrc, + q15_t * pRef, + q15_t * pOut, + q15_t * pErr, + uint32_t blockSize) +{ + q15_t *pState = S->pState; /* State pointer */ + q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + q15_t *pStateCurnt; /* Points to the current sample of the state */ + q15_t *px, *pb; /* Temporary pointers for state and coefficient buffers */ + q15_t mu = S->mu; /* Adaptive factor */ + uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */ + uint32_t tapCnt, blkCnt; /* Loop counters */ + q31_t energy; /* Energy of the input */ + q63_t acc; /* Accumulator */ + q15_t e = 0, d = 0; /* error, reference data sample */ + q15_t w = 0, in; /* weight factor and state */ + q15_t x0; /* temporary variable to hold input sample */ + //uint32_t shift = (uint32_t) S->postShift + 1U; /* Shift to be applied to the output */ + q15_t errorXmu, oneByEnergy; /* Temporary variables to store error and mu product and reciprocal of energy */ + q15_t postShift; /* Post shift to be applied to weight after reciprocal calculation */ + q31_t coef; /* Teporary variable for coefficient */ + q31_t acc_l, acc_h; + int32_t lShift = (15 - (int32_t) S->postShift); /* Post shift */ + int32_t uShift = (32 - lShift); + + energy = S->energy; + x0 = S->x0; + + /* S->pState points to buffer which contains previous frame (numTaps - 1) samples */ + /* pStateCurnt points to the location where the new input data should be written */ + pStateCurnt = &(S->pState[(numTaps - 1U)]); + + /* Loop over blockSize number of values */ + blkCnt = blockSize; + + +#if defined (ARM_MATH_DSP) + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + while (blkCnt > 0U) + { + /* Copy the new input sample into the state buffer */ + *pStateCurnt++ = *pSrc; + + /* Initialize pState pointer */ + px = pState; + + /* Initialize coeff pointer */ + pb = (pCoeffs); + + /* Read the sample from input buffer */ + in = *pSrc++; + + /* Update the energy calculation */ + energy -= (((q31_t) x0 * (x0)) >> 15); + energy += (((q31_t) in * (in)) >> 15); + + /* Set the accumulator to zero */ + acc = 0; + + /* Loop unrolling. Process 4 taps at a time. */ + tapCnt = numTaps >> 2; + + while (tapCnt > 0U) + { + + /* Perform the multiply-accumulate */ +#ifndef UNALIGNED_SUPPORT_DISABLE + + acc = __SMLALD(*__SIMD32(px)++, (*__SIMD32(pb)++), acc); + acc = __SMLALD(*__SIMD32(px)++, (*__SIMD32(pb)++), acc); + +#else + + acc += (((q31_t) * px++ * (*pb++))); + acc += (((q31_t) * px++ * (*pb++))); + acc += (((q31_t) * px++ * (*pb++))); + acc += (((q31_t) * px++ * (*pb++))); + +#endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */ + + /* Decrement the loop counter */ + tapCnt--; + } + + /* If the filter length is not a multiple of 4, compute the remaining filter taps */ + tapCnt = numTaps % 0x4U; + + while (tapCnt > 0U) + { + /* Perform the multiply-accumulate */ + acc += (((q31_t) * px++ * (*pb++))); + + /* Decrement the loop counter */ + tapCnt--; + } + + /* Calc lower part of acc */ + acc_l = acc & 0xffffffff; + + /* Calc upper part of acc */ + acc_h = (acc >> 32) & 0xffffffff; + + /* Apply shift for lower part of acc and upper part of acc */ + acc = (uint32_t) acc_l >> lShift | acc_h << uShift; + + /* Converting the result to 1.15 format and saturate the output */ + acc = __SSAT(acc, 16U); + + /* Store the result from accumulator into the destination buffer. */ + *pOut++ = (q15_t) acc; + + /* Compute and store error */ + d = *pRef++; + e = d - (q15_t) acc; + *pErr++ = e; + + /* Calculation of 1/energy */ + postShift = arm_recip_q15((q15_t) energy + DELTA_Q15, + &oneByEnergy, S->recipTable); + + /* Calculation of e * mu value */ + errorXmu = (q15_t) (((q31_t) e * mu) >> 15); + + /* Calculation of (e * mu) * (1/energy) value */ + acc = (((q31_t) errorXmu * oneByEnergy) >> (15 - postShift)); + + /* Weighting factor for the normalized version */ + w = (q15_t) __SSAT((q31_t) acc, 16); + + /* Initialize pState pointer */ + px = pState; + + /* Initialize coeff pointer */ + pb = (pCoeffs); + + /* Loop unrolling. Process 4 taps at a time. */ + tapCnt = numTaps >> 2; + + /* Update filter coefficients */ + while (tapCnt > 0U) + { + coef = *pb + (((q31_t) w * (*px++)) >> 15); + *pb++ = (q15_t) __SSAT((coef), 16); + coef = *pb + (((q31_t) w * (*px++)) >> 15); + *pb++ = (q15_t) __SSAT((coef), 16); + coef = *pb + (((q31_t) w * (*px++)) >> 15); + *pb++ = (q15_t) __SSAT((coef), 16); + coef = *pb + (((q31_t) w * (*px++)) >> 15); + *pb++ = (q15_t) __SSAT((coef), 16); + + /* Decrement the loop counter */ + tapCnt--; + } + + /* If the filter length is not a multiple of 4, compute the remaining filter taps */ + tapCnt = numTaps % 0x4U; + + while (tapCnt > 0U) + { + /* Perform the multiply-accumulate */ + coef = *pb + (((q31_t) w * (*px++)) >> 15); + *pb++ = (q15_t) __SSAT((coef), 16); + + /* Decrement the loop counter */ + tapCnt--; + } + + /* Read the sample from state buffer */ + x0 = *pState; + + /* Advance state pointer by 1 for the next sample */ + pState = pState + 1U; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Save energy and x0 values for the next frame */ + S->energy = (q15_t) energy; + S->x0 = x0; + + /* Processing is complete. Now copy the last numTaps - 1 samples to the + satrt of the state buffer. This prepares the state buffer for the + next function call. */ + + /* Points to the start of the pState buffer */ + pStateCurnt = S->pState; + + /* Calculation of count for copying integer writes */ + tapCnt = (numTaps - 1U) >> 2; + + while (tapCnt > 0U) + { + +#ifndef UNALIGNED_SUPPORT_DISABLE + + *__SIMD32(pStateCurnt)++ = *__SIMD32(pState)++; + *__SIMD32(pStateCurnt)++ = *__SIMD32(pState)++; + +#else + + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + +#endif + + tapCnt--; + + } + + /* Calculation of count for remaining q15_t data */ + tapCnt = (numTaps - 1U) % 0x4U; + + /* copy data */ + while (tapCnt > 0U) + { + *pStateCurnt++ = *pState++; + + /* Decrement the loop counter */ + tapCnt--; + } + +#else + + /* Run the below code for Cortex-M0 */ + + while (blkCnt > 0U) + { + /* Copy the new input sample into the state buffer */ + *pStateCurnt++ = *pSrc; + + /* Initialize pState pointer */ + px = pState; + + /* Initialize pCoeffs pointer */ + pb = pCoeffs; + + /* Read the sample from input buffer */ + in = *pSrc++; + + /* Update the energy calculation */ + energy -= (((q31_t) x0 * (x0)) >> 15); + energy += (((q31_t) in * (in)) >> 15); + + /* Set the accumulator to zero */ + acc = 0; + + /* Loop over numTaps number of values */ + tapCnt = numTaps; + + while (tapCnt > 0U) + { + /* Perform the multiply-accumulate */ + acc += (((q31_t) * px++ * (*pb++))); + + /* Decrement the loop counter */ + tapCnt--; + } + + /* Calc lower part of acc */ + acc_l = acc & 0xffffffff; + + /* Calc upper part of acc */ + acc_h = (acc >> 32) & 0xffffffff; + + /* Apply shift for lower part of acc and upper part of acc */ + acc = (uint32_t) acc_l >> lShift | acc_h << uShift; + + /* Converting the result to 1.15 format and saturate the output */ + acc = __SSAT(acc, 16U); + + /* Converting the result to 1.15 format */ + //acc = __SSAT((acc >> (16U - shift)), 16U); + + /* Store the result from accumulator into the destination buffer. */ + *pOut++ = (q15_t) acc; + + /* Compute and store error */ + d = *pRef++; + e = d - (q15_t) acc; + *pErr++ = e; + + /* Calculation of 1/energy */ + postShift = arm_recip_q15((q15_t) energy + DELTA_Q15, + &oneByEnergy, S->recipTable); + + /* Calculation of e * mu value */ + errorXmu = (q15_t) (((q31_t) e * mu) >> 15); + + /* Calculation of (e * mu) * (1/energy) value */ + acc = (((q31_t) errorXmu * oneByEnergy) >> (15 - postShift)); + + /* Weighting factor for the normalized version */ + w = (q15_t) __SSAT((q31_t) acc, 16); + + /* Initialize pState pointer */ + px = pState; + + /* Initialize coeff pointer */ + pb = (pCoeffs); + + /* Loop over numTaps number of values */ + tapCnt = numTaps; + + while (tapCnt > 0U) + { + /* Perform the multiply-accumulate */ + coef = *pb + (((q31_t) w * (*px++)) >> 15); + *pb++ = (q15_t) __SSAT((coef), 16); + + /* Decrement the loop counter */ + tapCnt--; + } + + /* Read the sample from state buffer */ + x0 = *pState; + + /* Advance state pointer by 1 for the next sample */ + pState = pState + 1U; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Save energy and x0 values for the next frame */ + S->energy = (q15_t) energy; + S->x0 = x0; + + /* Processing is complete. Now copy the last numTaps - 1 samples to the + satrt of the state buffer. This prepares the state buffer for the + next function call. */ + + /* Points to the start of the pState buffer */ + pStateCurnt = S->pState; + + /* copy (numTaps - 1U) data */ + tapCnt = (numTaps - 1U); + + /* copy data */ + while (tapCnt > 0U) + { + *pStateCurnt++ = *pState++; + + /* Decrement the loop counter */ + tapCnt--; + } + +#endif /* #if defined (ARM_MATH_DSP) */ + +} + + +/** + * @} end of LMS_NORM group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_q31.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_q31.c new file mode 100644 index 0000000..bc65fa6 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_q31.c @@ -0,0 +1,419 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_lms_norm_q31.c + * Description: Processing function for the Q31 NLMS filter + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupFilters + */ + +/** + * @addtogroup LMS_NORM + * @{ + */ + +/** +* @brief Processing function for Q31 normalized LMS filter. +* @param[in] *S points to an instance of the Q31 normalized LMS filter structure. +* @param[in] *pSrc points to the block of input data. +* @param[in] *pRef points to the block of reference data. +* @param[out] *pOut points to the block of output data. +* @param[out] *pErr points to the block of error data. +* @param[in] blockSize number of samples to process. +* @return none. +* +* Scaling and Overflow Behavior: +* \par +* The function is implemented using an internal 64-bit accumulator. +* The accumulator has a 2.62 format and maintains full precision of the intermediate +* multiplication results but provides only a single guard bit. +* Thus, if the accumulator result overflows it wraps around rather than clip. +* In order to avoid overflows completely the input signal must be scaled down by +* log2(numTaps) bits. The reference signal should not be scaled down. +* After all multiply-accumulates are performed, the 2.62 accumulator is shifted +* and saturated to 1.31 format to yield the final result. +* The output signal and error signal are in 1.31 format. +* +* \par +* In this filter, filter coefficients are updated for each sample and the +* updation of filter cofficients are saturted. +* +*/ + +void arm_lms_norm_q31( + arm_lms_norm_instance_q31 * S, + q31_t * pSrc, + q31_t * pRef, + q31_t * pOut, + q31_t * pErr, + uint32_t blockSize) +{ + q31_t *pState = S->pState; /* State pointer */ + q31_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + q31_t *pStateCurnt; /* Points to the current sample of the state */ + q31_t *px, *pb; /* Temporary pointers for state and coefficient buffers */ + q31_t mu = S->mu; /* Adaptive factor */ + uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */ + uint32_t tapCnt, blkCnt; /* Loop counters */ + q63_t energy; /* Energy of the input */ + q63_t acc; /* Accumulator */ + q31_t e = 0, d = 0; /* error, reference data sample */ + q31_t w = 0, in; /* weight factor and state */ + q31_t x0; /* temporary variable to hold input sample */ +// uint32_t shift = 32U - ((uint32_t) S->postShift + 1U); /* Shift to be applied to the output */ + q31_t errorXmu, oneByEnergy; /* Temporary variables to store error and mu product and reciprocal of energy */ + q31_t postShift; /* Post shift to be applied to weight after reciprocal calculation */ + q31_t coef; /* Temporary variable for coef */ + q31_t acc_l, acc_h; /* temporary input */ + uint32_t uShift = ((uint32_t) S->postShift + 1U); + uint32_t lShift = 32U - uShift; /* Shift to be applied to the output */ + + energy = S->energy; + x0 = S->x0; + + /* S->pState points to buffer which contains previous frame (numTaps - 1) samples */ + /* pStateCurnt points to the location where the new input data should be written */ + pStateCurnt = &(S->pState[(numTaps - 1U)]); + + /* Loop over blockSize number of values */ + blkCnt = blockSize; + + +#if defined (ARM_MATH_DSP) + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + while (blkCnt > 0U) + { + + /* Copy the new input sample into the state buffer */ + *pStateCurnt++ = *pSrc; + + /* Initialize pState pointer */ + px = pState; + + /* Initialize coeff pointer */ + pb = (pCoeffs); + + /* Read the sample from input buffer */ + in = *pSrc++; + + /* Update the energy calculation */ + energy = (q31_t) ((((q63_t) energy << 32) - + (((q63_t) x0 * x0) << 1)) >> 32); + energy = (q31_t) (((((q63_t) in * in) << 1) + (energy << 32)) >> 32); + + /* Set the accumulator to zero */ + acc = 0; + + /* Loop unrolling. Process 4 taps at a time. */ + tapCnt = numTaps >> 2; + + while (tapCnt > 0U) + { + /* Perform the multiply-accumulate */ + acc += ((q63_t) (*px++)) * (*pb++); + acc += ((q63_t) (*px++)) * (*pb++); + acc += ((q63_t) (*px++)) * (*pb++); + acc += ((q63_t) (*px++)) * (*pb++); + + /* Decrement the loop counter */ + tapCnt--; + } + + /* If the filter length is not a multiple of 4, compute the remaining filter taps */ + tapCnt = numTaps % 0x4U; + + while (tapCnt > 0U) + { + /* Perform the multiply-accumulate */ + acc += ((q63_t) (*px++)) * (*pb++); + + /* Decrement the loop counter */ + tapCnt--; + } + + /* Converting the result to 1.31 format */ + /* Calc lower part of acc */ + acc_l = acc & 0xffffffff; + + /* Calc upper part of acc */ + acc_h = (acc >> 32) & 0xffffffff; + + acc = (uint32_t) acc_l >> lShift | acc_h << uShift; + + /* Store the result from accumulator into the destination buffer. */ + *pOut++ = (q31_t) acc; + + /* Compute and store error */ + d = *pRef++; + e = d - (q31_t) acc; + *pErr++ = e; + + /* Calculates the reciprocal of energy */ + postShift = arm_recip_q31(energy + DELTA_Q31, + &oneByEnergy, &S->recipTable[0]); + + /* Calculation of product of (e * mu) */ + errorXmu = (q31_t) (((q63_t) e * mu) >> 31); + + /* Weighting factor for the normalized version */ + w = clip_q63_to_q31(((q63_t) errorXmu * oneByEnergy) >> (31 - postShift)); + + /* Initialize pState pointer */ + px = pState; + + /* Initialize coeff pointer */ + pb = (pCoeffs); + + /* Loop unrolling. Process 4 taps at a time. */ + tapCnt = numTaps >> 2; + + /* Update filter coefficients */ + while (tapCnt > 0U) + { + /* Perform the multiply-accumulate */ + + /* coef is in 2.30 format */ + coef = (q31_t) (((q63_t) w * (*px++)) >> (32)); + /* get coef in 1.31 format by left shifting */ + *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1U)); + /* update coefficient buffer to next coefficient */ + pb++; + + coef = (q31_t) (((q63_t) w * (*px++)) >> (32)); + *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1U)); + pb++; + + coef = (q31_t) (((q63_t) w * (*px++)) >> (32)); + *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1U)); + pb++; + + coef = (q31_t) (((q63_t) w * (*px++)) >> (32)); + *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1U)); + pb++; + + /* Decrement the loop counter */ + tapCnt--; + } + + /* If the filter length is not a multiple of 4, compute the remaining filter taps */ + tapCnt = numTaps % 0x4U; + + while (tapCnt > 0U) + { + /* Perform the multiply-accumulate */ + coef = (q31_t) (((q63_t) w * (*px++)) >> (32)); + *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1U)); + pb++; + + /* Decrement the loop counter */ + tapCnt--; + } + + /* Read the sample from state buffer */ + x0 = *pState; + + /* Advance state pointer by 1 for the next sample */ + pState = pState + 1; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Save energy and x0 values for the next frame */ + S->energy = (q31_t) energy; + S->x0 = x0; + + /* Processing is complete. Now copy the last numTaps - 1 samples to the + satrt of the state buffer. This prepares the state buffer for the + next function call. */ + + /* Points to the start of the pState buffer */ + pStateCurnt = S->pState; + + /* Loop unrolling for (numTaps - 1U) samples copy */ + tapCnt = (numTaps - 1U) >> 2U; + + /* copy data */ + while (tapCnt > 0U) + { + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + + /* Decrement the loop counter */ + tapCnt--; + } + + /* Calculate remaining number of copies */ + tapCnt = (numTaps - 1U) % 0x4U; + + /* Copy the remaining q31_t data */ + while (tapCnt > 0U) + { + *pStateCurnt++ = *pState++; + + /* Decrement the loop counter */ + tapCnt--; + } + +#else + + /* Run the below code for Cortex-M0 */ + + while (blkCnt > 0U) + { + + /* Copy the new input sample into the state buffer */ + *pStateCurnt++ = *pSrc; + + /* Initialize pState pointer */ + px = pState; + + /* Initialize pCoeffs pointer */ + pb = pCoeffs; + + /* Read the sample from input buffer */ + in = *pSrc++; + + /* Update the energy calculation */ + energy = + (q31_t) ((((q63_t) energy << 32) - (((q63_t) x0 * x0) << 1)) >> 32); + energy = (q31_t) (((((q63_t) in * in) << 1) + (energy << 32)) >> 32); + + /* Set the accumulator to zero */ + acc = 0; + + /* Loop over numTaps number of values */ + tapCnt = numTaps; + + while (tapCnt > 0U) + { + /* Perform the multiply-accumulate */ + acc += ((q63_t) (*px++)) * (*pb++); + + /* Decrement the loop counter */ + tapCnt--; + } + + /* Converting the result to 1.31 format */ + /* Converting the result to 1.31 format */ + /* Calc lower part of acc */ + acc_l = acc & 0xffffffff; + + /* Calc upper part of acc */ + acc_h = (acc >> 32) & 0xffffffff; + + acc = (uint32_t) acc_l >> lShift | acc_h << uShift; + + + //acc = (q31_t) (acc >> shift); + + /* Store the result from accumulator into the destination buffer. */ + *pOut++ = (q31_t) acc; + + /* Compute and store error */ + d = *pRef++; + e = d - (q31_t) acc; + *pErr++ = e; + + /* Calculates the reciprocal of energy */ + postShift = + arm_recip_q31(energy + DELTA_Q31, &oneByEnergy, &S->recipTable[0]); + + /* Calculation of product of (e * mu) */ + errorXmu = (q31_t) (((q63_t) e * mu) >> 31); + + /* Weighting factor for the normalized version */ + w = clip_q63_to_q31(((q63_t) errorXmu * oneByEnergy) >> (31 - postShift)); + + /* Initialize pState pointer */ + px = pState; + + /* Initialize coeff pointer */ + pb = (pCoeffs); + + /* Loop over numTaps number of values */ + tapCnt = numTaps; + + while (tapCnt > 0U) + { + /* Perform the multiply-accumulate */ + /* coef is in 2.30 format */ + coef = (q31_t) (((q63_t) w * (*px++)) >> (32)); + /* get coef in 1.31 format by left shifting */ + *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1U)); + /* update coefficient buffer to next coefficient */ + pb++; + + /* Decrement the loop counter */ + tapCnt--; + } + + /* Read the sample from state buffer */ + x0 = *pState; + + /* Advance state pointer by 1 for the next sample */ + pState = pState + 1; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Save energy and x0 values for the next frame */ + S->energy = (q31_t) energy; + S->x0 = x0; + + /* Processing is complete. Now copy the last numTaps - 1 samples to the + start of the state buffer. This prepares the state buffer for the + next function call. */ + + /* Points to the start of the pState buffer */ + pStateCurnt = S->pState; + + /* Loop for (numTaps - 1U) samples copy */ + tapCnt = (numTaps - 1U); + + /* Copy the remaining q31_t data */ + while (tapCnt > 0U) + { + *pStateCurnt++ = *pState++; + + /* Decrement the loop counter */ + tapCnt--; + } + +#endif /* #if defined (ARM_MATH_DSP) */ + +} + +/** + * @} end of LMS_NORM group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_q15.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_q15.c new file mode 100644 index 0000000..8d5226e --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_q15.c @@ -0,0 +1,368 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_lms_q15.c + * Description: Processing function for the Q15 LMS filter + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +/** + * @ingroup groupFilters + */ + +/** + * @addtogroup LMS + * @{ + */ + + /** + * @brief Processing function for Q15 LMS filter. + * @param[in] *S points to an instance of the Q15 LMS filter structure. + * @param[in] *pSrc points to the block of input data. + * @param[in] *pRef points to the block of reference data. + * @param[out] *pOut points to the block of output data. + * @param[out] *pErr points to the block of error data. + * @param[in] blockSize number of samples to process. + * @return none. + * + * \par Scaling and Overflow Behavior: + * The function is implemented using a 64-bit internal accumulator. + * Both coefficients and state variables are represented in 1.15 format and multiplications yield a 2.30 result. + * The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format. + * There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved. + * After all additions have been performed, the accumulator is truncated to 34.15 format by discarding low 15 bits. + * Lastly, the accumulator is saturated to yield a result in 1.15 format. + * + * \par + * In this filter, filter coefficients are updated for each sample and the updation of filter cofficients are saturted. + * + */ + +void arm_lms_q15( + const arm_lms_instance_q15 * S, + q15_t * pSrc, + q15_t * pRef, + q15_t * pOut, + q15_t * pErr, + uint32_t blockSize) +{ + q15_t *pState = S->pState; /* State pointer */ + uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */ + q15_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + q15_t *pStateCurnt; /* Points to the current sample of the state */ + q15_t mu = S->mu; /* Adaptive factor */ + q15_t *px; /* Temporary pointer for state */ + q15_t *pb; /* Temporary pointer for coefficient buffer */ + uint32_t tapCnt, blkCnt; /* Loop counters */ + q63_t acc; /* Accumulator */ + q15_t e = 0; /* error of data sample */ + q15_t alpha; /* Intermediate constant for taps update */ + q31_t coef; /* Teporary variable for coefficient */ + q31_t acc_l, acc_h; + int32_t lShift = (15 - (int32_t) S->postShift); /* Post shift */ + int32_t uShift = (32 - lShift); + + +#if defined (ARM_MATH_DSP) + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + + /* S->pState points to buffer which contains previous frame (numTaps - 1) samples */ + /* pStateCurnt points to the location where the new input data should be written */ + pStateCurnt = &(S->pState[(numTaps - 1U)]); + + /* Initializing blkCnt with blockSize */ + blkCnt = blockSize; + + while (blkCnt > 0U) + { + /* Copy the new input sample into the state buffer */ + *pStateCurnt++ = *pSrc++; + + /* Initialize state pointer */ + px = pState; + + /* Initialize coefficient pointer */ + pb = pCoeffs; + + /* Set the accumulator to zero */ + acc = 0; + + /* Loop unrolling. Process 4 taps at a time. */ + tapCnt = numTaps >> 2U; + + while (tapCnt > 0U) + { + /* acc += b[N] * x[n-N] + b[N-1] * x[n-N-1] */ + /* Perform the multiply-accumulate */ +#ifndef UNALIGNED_SUPPORT_DISABLE + + acc = __SMLALD(*__SIMD32(px)++, (*__SIMD32(pb)++), acc); + acc = __SMLALD(*__SIMD32(px)++, (*__SIMD32(pb)++), acc); + +#else + + acc += (q63_t) (((q31_t) (*px++) * (*pb++))); + acc += (q63_t) (((q31_t) (*px++) * (*pb++))); + acc += (q63_t) (((q31_t) (*px++) * (*pb++))); + acc += (q63_t) (((q31_t) (*px++) * (*pb++))); + + +#endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */ + + /* Decrement the loop counter */ + tapCnt--; + } + + /* If the filter length is not a multiple of 4, compute the remaining filter taps */ + tapCnt = numTaps % 0x4U; + + while (tapCnt > 0U) + { + /* Perform the multiply-accumulate */ + acc += (q63_t) (((q31_t) (*px++) * (*pb++))); + + /* Decrement the loop counter */ + tapCnt--; + } + + /* Calc lower part of acc */ + acc_l = acc & 0xffffffff; + + /* Calc upper part of acc */ + acc_h = (acc >> 32) & 0xffffffff; + + /* Apply shift for lower part of acc and upper part of acc */ + acc = (uint32_t) acc_l >> lShift | acc_h << uShift; + + /* Converting the result to 1.15 format and saturate the output */ + acc = __SSAT(acc, 16); + + /* Store the result from accumulator into the destination buffer. */ + *pOut++ = (q15_t) acc; + + /* Compute and store error */ + e = *pRef++ - (q15_t) acc; + + *pErr++ = (q15_t) e; + + /* Compute alpha i.e. intermediate constant for taps update */ + alpha = (q15_t) (((q31_t) e * (mu)) >> 15); + + /* Initialize state pointer */ + /* Advance state pointer by 1 for the next sample */ + px = pState++; + + /* Initialize coefficient pointer */ + pb = pCoeffs; + + /* Loop unrolling. Process 4 taps at a time. */ + tapCnt = numTaps >> 2U; + + /* Update filter coefficients */ + while (tapCnt > 0U) + { + coef = (q31_t) * pb + (((q31_t) alpha * (*px++)) >> 15); + *pb++ = (q15_t) __SSAT((coef), 16); + coef = (q31_t) * pb + (((q31_t) alpha * (*px++)) >> 15); + *pb++ = (q15_t) __SSAT((coef), 16); + coef = (q31_t) * pb + (((q31_t) alpha * (*px++)) >> 15); + *pb++ = (q15_t) __SSAT((coef), 16); + coef = (q31_t) * pb + (((q31_t) alpha * (*px++)) >> 15); + *pb++ = (q15_t) __SSAT((coef), 16); + + /* Decrement the loop counter */ + tapCnt--; + } + + /* If the filter length is not a multiple of 4, compute the remaining filter taps */ + tapCnt = numTaps % 0x4U; + + while (tapCnt > 0U) + { + /* Perform the multiply-accumulate */ + coef = (q31_t) * pb + (((q31_t) alpha * (*px++)) >> 15); + *pb++ = (q15_t) __SSAT((coef), 16); + + /* Decrement the loop counter */ + tapCnt--; + } + + /* Decrement the loop counter */ + blkCnt--; + + } + + /* Processing is complete. Now copy the last numTaps - 1 samples to the + satrt of the state buffer. This prepares the state buffer for the + next function call. */ + + /* Points to the start of the pState buffer */ + pStateCurnt = S->pState; + + /* Calculation of count for copying integer writes */ + tapCnt = (numTaps - 1U) >> 2; + + while (tapCnt > 0U) + { + +#ifndef UNALIGNED_SUPPORT_DISABLE + + *__SIMD32(pStateCurnt)++ = *__SIMD32(pState)++; + *__SIMD32(pStateCurnt)++ = *__SIMD32(pState)++; +#else + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; +#endif + + tapCnt--; + + } + + /* Calculation of count for remaining q15_t data */ + tapCnt = (numTaps - 1U) % 0x4U; + + /* copy data */ + while (tapCnt > 0U) + { + *pStateCurnt++ = *pState++; + + /* Decrement the loop counter */ + tapCnt--; + } + +#else + + /* Run the below code for Cortex-M0 */ + + /* S->pState points to buffer which contains previous frame (numTaps - 1) samples */ + /* pStateCurnt points to the location where the new input data should be written */ + pStateCurnt = &(S->pState[(numTaps - 1U)]); + + /* Loop over blockSize number of values */ + blkCnt = blockSize; + + while (blkCnt > 0U) + { + /* Copy the new input sample into the state buffer */ + *pStateCurnt++ = *pSrc++; + + /* Initialize pState pointer */ + px = pState; + + /* Initialize pCoeffs pointer */ + pb = pCoeffs; + + /* Set the accumulator to zero */ + acc = 0; + + /* Loop over numTaps number of values */ + tapCnt = numTaps; + + while (tapCnt > 0U) + { + /* Perform the multiply-accumulate */ + acc += (q63_t) ((q31_t) (*px++) * (*pb++)); + + /* Decrement the loop counter */ + tapCnt--; + } + + /* Calc lower part of acc */ + acc_l = acc & 0xffffffff; + + /* Calc upper part of acc */ + acc_h = (acc >> 32) & 0xffffffff; + + /* Apply shift for lower part of acc and upper part of acc */ + acc = (uint32_t) acc_l >> lShift | acc_h << uShift; + + /* Converting the result to 1.15 format and saturate the output */ + acc = __SSAT(acc, 16); + + /* Store the result from accumulator into the destination buffer. */ + *pOut++ = (q15_t) acc; + + /* Compute and store error */ + e = *pRef++ - (q15_t) acc; + + *pErr++ = (q15_t) e; + + /* Compute alpha i.e. intermediate constant for taps update */ + alpha = (q15_t) (((q31_t) e * (mu)) >> 15); + + /* Initialize pState pointer */ + /* Advance state pointer by 1 for the next sample */ + px = pState++; + + /* Initialize pCoeffs pointer */ + pb = pCoeffs; + + /* Loop over numTaps number of values */ + tapCnt = numTaps; + + while (tapCnt > 0U) + { + /* Perform the multiply-accumulate */ + coef = (q31_t) * pb + (((q31_t) alpha * (*px++)) >> 15); + *pb++ = (q15_t) __SSAT((coef), 16); + + /* Decrement the loop counter */ + tapCnt--; + } + + /* Decrement the loop counter */ + blkCnt--; + + } + + /* Processing is complete. Now copy the last numTaps - 1 samples to the + start of the state buffer. This prepares the state buffer for the + next function call. */ + + /* Points to the start of the pState buffer */ + pStateCurnt = S->pState; + + /* Copy (numTaps - 1U) samples */ + tapCnt = (numTaps - 1U); + + /* Copy the data */ + while (tapCnt > 0U) + { + *pStateCurnt++ = *pState++; + + /* Decrement the loop counter */ + tapCnt--; + } + +#endif /* #if defined (ARM_MATH_DSP) */ + +} + +/** + * @} end of LMS group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_q31.c b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_q31.c new file mode 100644 index 0000000..66b2a91 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_q31.c @@ -0,0 +1,357 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_lms_q31.c + * Description: Processing function for the Q31 LMS filter + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +/** + * @ingroup groupFilters + */ + +/** + * @addtogroup LMS + * @{ + */ + + /** + * @brief Processing function for Q31 LMS filter. + * @param[in] *S points to an instance of the Q15 LMS filter structure. + * @param[in] *pSrc points to the block of input data. + * @param[in] *pRef points to the block of reference data. + * @param[out] *pOut points to the block of output data. + * @param[out] *pErr points to the block of error data. + * @param[in] blockSize number of samples to process. + * @return none. + * + * \par Scaling and Overflow Behavior: + * The function is implemented using an internal 64-bit accumulator. + * The accumulator has a 2.62 format and maintains full precision of the intermediate + * multiplication results but provides only a single guard bit. + * Thus, if the accumulator result overflows it wraps around rather than clips. + * In order to avoid overflows completely the input signal must be scaled down by + * log2(numTaps) bits. + * The reference signal should not be scaled down. + * After all multiply-accumulates are performed, the 2.62 accumulator is shifted + * and saturated to 1.31 format to yield the final result. + * The output signal and error signal are in 1.31 format. + * + * \par + * In this filter, filter coefficients are updated for each sample and the updation of filter cofficients are saturted. + */ + +void arm_lms_q31( + const arm_lms_instance_q31 * S, + q31_t * pSrc, + q31_t * pRef, + q31_t * pOut, + q31_t * pErr, + uint32_t blockSize) +{ + q31_t *pState = S->pState; /* State pointer */ + uint32_t numTaps = S->numTaps; /* Number of filter coefficients in the filter */ + q31_t *pCoeffs = S->pCoeffs; /* Coefficient pointer */ + q31_t *pStateCurnt; /* Points to the current sample of the state */ + q31_t mu = S->mu; /* Adaptive factor */ + q31_t *px; /* Temporary pointer for state */ + q31_t *pb; /* Temporary pointer for coefficient buffer */ + uint32_t tapCnt, blkCnt; /* Loop counters */ + q63_t acc; /* Accumulator */ + q31_t e = 0; /* error of data sample */ + q31_t alpha; /* Intermediate constant for taps update */ + q31_t coef; /* Temporary variable for coef */ + q31_t acc_l, acc_h; /* temporary input */ + uint32_t uShift = ((uint32_t) S->postShift + 1U); + uint32_t lShift = 32U - uShift; /* Shift to be applied to the output */ + + /* S->pState points to buffer which contains previous frame (numTaps - 1) samples */ + /* pStateCurnt points to the location where the new input data should be written */ + pStateCurnt = &(S->pState[(numTaps - 1U)]); + + /* Initializing blkCnt with blockSize */ + blkCnt = blockSize; + + +#if defined (ARM_MATH_DSP) + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + while (blkCnt > 0U) + { + /* Copy the new input sample into the state buffer */ + *pStateCurnt++ = *pSrc++; + + /* Initialize state pointer */ + px = pState; + + /* Initialize coefficient pointer */ + pb = pCoeffs; + + /* Set the accumulator to zero */ + acc = 0; + + /* Loop unrolling. Process 4 taps at a time. */ + tapCnt = numTaps >> 2; + + while (tapCnt > 0U) + { + /* Perform the multiply-accumulate */ + /* acc += b[N] * x[n-N] */ + acc += ((q63_t) (*px++)) * (*pb++); + + /* acc += b[N-1] * x[n-N-1] */ + acc += ((q63_t) (*px++)) * (*pb++); + + /* acc += b[N-2] * x[n-N-2] */ + acc += ((q63_t) (*px++)) * (*pb++); + + /* acc += b[N-3] * x[n-N-3] */ + acc += ((q63_t) (*px++)) * (*pb++); + + /* Decrement the loop counter */ + tapCnt--; + } + + /* If the filter length is not a multiple of 4, compute the remaining filter taps */ + tapCnt = numTaps % 0x4U; + + while (tapCnt > 0U) + { + /* Perform the multiply-accumulate */ + acc += ((q63_t) (*px++)) * (*pb++); + + /* Decrement the loop counter */ + tapCnt--; + } + + /* Converting the result to 1.31 format */ + /* Calc lower part of acc */ + acc_l = acc & 0xffffffff; + + /* Calc upper part of acc */ + acc_h = (acc >> 32) & 0xffffffff; + + acc = (uint32_t) acc_l >> lShift | acc_h << uShift; + + /* Store the result from accumulator into the destination buffer. */ + *pOut++ = (q31_t) acc; + + /* Compute and store error */ + e = *pRef++ - (q31_t) acc; + + *pErr++ = (q31_t) e; + + /* Compute alpha i.e. intermediate constant for taps update */ + alpha = (q31_t) (((q63_t) e * mu) >> 31); + + /* Initialize state pointer */ + /* Advance state pointer by 1 for the next sample */ + px = pState++; + + /* Initialize coefficient pointer */ + pb = pCoeffs; + + /* Loop unrolling. Process 4 taps at a time. */ + tapCnt = numTaps >> 2; + + /* Update filter coefficients */ + while (tapCnt > 0U) + { + /* coef is in 2.30 format */ + coef = (q31_t) (((q63_t) alpha * (*px++)) >> (32)); + /* get coef in 1.31 format by left shifting */ + *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1U)); + /* update coefficient buffer to next coefficient */ + pb++; + + coef = (q31_t) (((q63_t) alpha * (*px++)) >> (32)); + *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1U)); + pb++; + + coef = (q31_t) (((q63_t) alpha * (*px++)) >> (32)); + *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1U)); + pb++; + + coef = (q31_t) (((q63_t) alpha * (*px++)) >> (32)); + *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1U)); + pb++; + + /* Decrement the loop counter */ + tapCnt--; + } + + /* If the filter length is not a multiple of 4, compute the remaining filter taps */ + tapCnt = numTaps % 0x4U; + + while (tapCnt > 0U) + { + /* Perform the multiply-accumulate */ + coef = (q31_t) (((q63_t) alpha * (*px++)) >> (32)); + *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1U)); + pb++; + + /* Decrement the loop counter */ + tapCnt--; + } + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Processing is complete. Now copy the last numTaps - 1 samples to the + satrt of the state buffer. This prepares the state buffer for the + next function call. */ + + /* Points to the start of the pState buffer */ + pStateCurnt = S->pState; + + /* Loop unrolling for (numTaps - 1U) samples copy */ + tapCnt = (numTaps - 1U) >> 2U; + + /* copy data */ + while (tapCnt > 0U) + { + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + *pStateCurnt++ = *pState++; + + /* Decrement the loop counter */ + tapCnt--; + } + + /* Calculate remaining number of copies */ + tapCnt = (numTaps - 1U) % 0x4U; + + /* Copy the remaining q31_t data */ + while (tapCnt > 0U) + { + *pStateCurnt++ = *pState++; + + /* Decrement the loop counter */ + tapCnt--; + } + +#else + + /* Run the below code for Cortex-M0 */ + + while (blkCnt > 0U) + { + /* Copy the new input sample into the state buffer */ + *pStateCurnt++ = *pSrc++; + + /* Initialize pState pointer */ + px = pState; + + /* Initialize pCoeffs pointer */ + pb = pCoeffs; + + /* Set the accumulator to zero */ + acc = 0; + + /* Loop over numTaps number of values */ + tapCnt = numTaps; + + while (tapCnt > 0U) + { + /* Perform the multiply-accumulate */ + acc += ((q63_t) (*px++)) * (*pb++); + + /* Decrement the loop counter */ + tapCnt--; + } + + /* Converting the result to 1.31 format */ + /* Store the result from accumulator into the destination buffer. */ + /* Calc lower part of acc */ + acc_l = acc & 0xffffffff; + + /* Calc upper part of acc */ + acc_h = (acc >> 32) & 0xffffffff; + + acc = (uint32_t) acc_l >> lShift | acc_h << uShift; + + *pOut++ = (q31_t) acc; + + /* Compute and store error */ + e = *pRef++ - (q31_t) acc; + + *pErr++ = (q31_t) e; + + /* Weighting factor for the LMS version */ + alpha = (q31_t) (((q63_t) e * mu) >> 31); + + /* Initialize pState pointer */ + /* Advance state pointer by 1 for the next sample */ + px = pState++; + + /* Initialize pCoeffs pointer */ + pb = pCoeffs; + + /* Loop over numTaps number of values */ + tapCnt = numTaps; + + while (tapCnt > 0U) + { + /* Perform the multiply-accumulate */ + coef = (q31_t) (((q63_t) alpha * (*px++)) >> (32)); + *pb = clip_q63_to_q31((q63_t) * pb + (coef << 1U)); + pb++; + + /* Decrement the loop counter */ + tapCnt--; + } + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Processing is complete. Now copy the last numTaps - 1 samples to the + start of the state buffer. This prepares the state buffer for the + next function call. */ + + /* Points to the start of the pState buffer */ + pStateCurnt = S->pState; + + /* Copy (numTaps - 1U) samples */ + tapCnt = (numTaps - 1U); + + /* Copy the data */ + while (tapCnt > 0U) + { + *pStateCurnt++ = *pState++; + + /* Decrement the loop counter */ + tapCnt--; + } + +#endif /* #if defined (ARM_MATH_DSP) */ + +} + +/** + * @} end of LMS group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_add_f32.c b/cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_add_f32.c new file mode 100644 index 0000000..9b609be --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_add_f32.c @@ -0,0 +1,196 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_mat_add_f32.c + * Description: Floating-point matrix addition + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupMatrix + */ + +/** + * @defgroup MatrixAdd Matrix Addition + * + * Adds two matrices. + * \image html MatrixAddition.gif "Addition of two 3 x 3 matrices" + * + * The functions check to make sure that + * pSrcA, pSrcB, and pDst have the same + * number of rows and columns. + */ + +/** + * @addtogroup MatrixAdd + * @{ + */ + + +/** + * @brief Floating-point matrix addition. + * @param[in] *pSrcA points to the first input matrix structure + * @param[in] *pSrcB points to the second input matrix structure + * @param[out] *pDst points to output matrix structure + * @return The function returns either + * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. + */ + +arm_status arm_mat_add_f32( + const arm_matrix_instance_f32 * pSrcA, + const arm_matrix_instance_f32 * pSrcB, + arm_matrix_instance_f32 * pDst) +{ + float32_t *pIn1 = pSrcA->pData; /* input data matrix pointer A */ + float32_t *pIn2 = pSrcB->pData; /* input data matrix pointer B */ + float32_t *pOut = pDst->pData; /* output data matrix pointer */ + +#if defined (ARM_MATH_DSP) + + float32_t inA1, inA2, inB1, inB2, out1, out2; /* temporary variables */ + +#endif // #if defined (ARM_MATH_DSP) + + uint32_t numSamples; /* total number of elements in the matrix */ + uint32_t blkCnt; /* loop counters */ + arm_status status; /* status of matrix addition */ + +#ifdef ARM_MATH_MATRIX_CHECK + /* Check for matrix mismatch condition */ + if ((pSrcA->numRows != pSrcB->numRows) || + (pSrcA->numCols != pSrcB->numCols) || + (pSrcA->numRows != pDst->numRows) || (pSrcA->numCols != pDst->numCols)) + { + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else +#endif + { + + /* Total number of samples in the input matrix */ + numSamples = (uint32_t) pSrcA->numRows * pSrcA->numCols; + +#if defined (ARM_MATH_DSP) + + /* Loop unrolling */ + blkCnt = numSamples >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C(m,n) = A(m,n) + B(m,n) */ + /* Add and then store the results in the destination buffer. */ + /* Read values from source A */ + inA1 = pIn1[0]; + + /* Read values from source B */ + inB1 = pIn2[0]; + + /* Read values from source A */ + inA2 = pIn1[1]; + + /* out = sourceA + sourceB */ + out1 = inA1 + inB1; + + /* Read values from source B */ + inB2 = pIn2[1]; + + /* Read values from source A */ + inA1 = pIn1[2]; + + /* out = sourceA + sourceB */ + out2 = inA2 + inB2; + + /* Read values from source B */ + inB1 = pIn2[2]; + + /* Store result in destination */ + pOut[0] = out1; + pOut[1] = out2; + + /* Read values from source A */ + inA2 = pIn1[3]; + + /* Read values from source B */ + inB2 = pIn2[3]; + + /* out = sourceA + sourceB */ + out1 = inA1 + inB1; + + /* out = sourceA + sourceB */ + out2 = inA2 + inB2; + + /* Store result in destination */ + pOut[2] = out1; + + /* Store result in destination */ + pOut[3] = out2; + + + /* update pointers to process next sampels */ + pIn1 += 4U; + pIn2 += 4U; + pOut += 4U; + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the numSamples is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = numSamples % 0x4U; + +#else + + /* Run the below code for Cortex-M0 */ + + /* Initialize blkCnt with number of samples */ + blkCnt = numSamples; + +#endif /* #if defined (ARM_MATH_DSP) */ + + while (blkCnt > 0U) + { + /* C(m,n) = A(m,n) + B(m,n) */ + /* Add and then store the results in the destination buffer. */ + *pOut++ = (*pIn1++) + (*pIn2++); + + /* Decrement the loop counter */ + blkCnt--; + } + + /* set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + + } + + /* Return to application */ + return (status); +} + +/** + * @} end of MatrixAdd group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_add_q15.c b/cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_add_q15.c new file mode 100644 index 0000000..e6737fa --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_add_q15.c @@ -0,0 +1,151 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_mat_add_q15.c + * Description: Q15 matrix addition + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupMatrix + */ + +/** + * @addtogroup MatrixAdd + * @{ + */ + +/** + * @brief Q15 matrix addition. + * @param[in] *pSrcA points to the first input matrix structure + * @param[in] *pSrcB points to the second input matrix structure + * @param[out] *pDst points to output matrix structure + * @return The function returns either + * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. + * + * Scaling and Overflow Behavior: + * \par + * The function uses saturating arithmetic. + * Results outside of the allowable Q15 range [0x8000 0x7FFF] will be saturated. + */ + +arm_status arm_mat_add_q15( + const arm_matrix_instance_q15 * pSrcA, + const arm_matrix_instance_q15 * pSrcB, + arm_matrix_instance_q15 * pDst) +{ + q15_t *pInA = pSrcA->pData; /* input data matrix pointer A */ + q15_t *pInB = pSrcB->pData; /* input data matrix pointer B */ + q15_t *pOut = pDst->pData; /* output data matrix pointer */ + uint16_t numSamples; /* total number of elements in the matrix */ + uint32_t blkCnt; /* loop counters */ + arm_status status; /* status of matrix addition */ + +#ifdef ARM_MATH_MATRIX_CHECK + + + /* Check for matrix mismatch condition */ + if ((pSrcA->numRows != pSrcB->numRows) || + (pSrcA->numCols != pSrcB->numCols) || + (pSrcA->numRows != pDst->numRows) || (pSrcA->numCols != pDst->numCols)) + { + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else +#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ + + { + /* Total number of samples in the input matrix */ + numSamples = (uint16_t) (pSrcA->numRows * pSrcA->numCols); + +#if defined (ARM_MATH_DSP) + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + /* Loop unrolling */ + blkCnt = (uint32_t) numSamples >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C(m,n) = A(m,n) + B(m,n) */ + /* Add, Saturate and then store the results in the destination buffer. */ + *__SIMD32(pOut)++ = __QADD16(*__SIMD32(pInA)++, *__SIMD32(pInB)++); + *__SIMD32(pOut)++ = __QADD16(*__SIMD32(pInA)++, *__SIMD32(pInB)++); + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = (uint32_t) numSamples % 0x4U; + + /* q15 pointers of input and output are initialized */ + + while (blkCnt > 0U) + { + /* C(m,n) = A(m,n) + B(m,n) */ + /* Add, Saturate and then store the results in the destination buffer. */ + *pOut++ = (q15_t) __QADD16(*pInA++, *pInB++); + + /* Decrement the loop counter */ + blkCnt--; + } + +#else + + /* Run the below code for Cortex-M0 */ + + /* Initialize blkCnt with number of samples */ + blkCnt = (uint32_t) numSamples; + + + /* q15 pointers of input and output are initialized */ + while (blkCnt > 0U) + { + /* C(m,n) = A(m,n) + B(m,n) */ + /* Add, Saturate and then store the results in the destination buffer. */ + *pOut++ = (q15_t) __SSAT(((q31_t) * pInA++ + *pInB++), 16); + + /* Decrement the loop counter */ + blkCnt--; + } + +#endif /* #if defined (ARM_MATH_DSP) */ + + /* set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + } + + /* Return to application */ + return (status); +} + +/** + * @} end of MatrixAdd group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_add_q31.c b/cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_add_q31.c new file mode 100644 index 0000000..4119563 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_add_q31.c @@ -0,0 +1,195 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_mat_add_q31.c + * Description: Q31 matrix addition + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupMatrix + */ + +/** + * @addtogroup MatrixAdd + * @{ + */ + +/** + * @brief Q31 matrix addition. + * @param[in] *pSrcA points to the first input matrix structure + * @param[in] *pSrcB points to the second input matrix structure + * @param[out] *pDst points to output matrix structure + * @return The function returns either + * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. + * + * Scaling and Overflow Behavior: + * \par + * The function uses saturating arithmetic. + * Results outside of the allowable Q31 range [0x80000000 0x7FFFFFFF] will be saturated. + */ + +arm_status arm_mat_add_q31( + const arm_matrix_instance_q31 * pSrcA, + const arm_matrix_instance_q31 * pSrcB, + arm_matrix_instance_q31 * pDst) +{ + q31_t *pIn1 = pSrcA->pData; /* input data matrix pointer A */ + q31_t *pIn2 = pSrcB->pData; /* input data matrix pointer B */ + q31_t *pOut = pDst->pData; /* output data matrix pointer */ + q31_t inA1, inB1; /* temporary variables */ + +#if defined (ARM_MATH_DSP) + + q31_t inA2, inB2; /* temporary variables */ + q31_t out1, out2; /* temporary variables */ + +#endif // #if defined (ARM_MATH_DSP) + + uint32_t numSamples; /* total number of elements in the matrix */ + uint32_t blkCnt; /* loop counters */ + arm_status status; /* status of matrix addition */ + +#ifdef ARM_MATH_MATRIX_CHECK + /* Check for matrix mismatch condition */ + if ((pSrcA->numRows != pSrcB->numRows) || + (pSrcA->numCols != pSrcB->numCols) || + (pSrcA->numRows != pDst->numRows) || (pSrcA->numCols != pDst->numCols)) + { + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else +#endif + { + /* Total number of samples in the input matrix */ + numSamples = (uint32_t) pSrcA->numRows * pSrcA->numCols; + +#if defined (ARM_MATH_DSP) + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + /* Loop Unrolling */ + blkCnt = numSamples >> 2U; + + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C(m,n) = A(m,n) + B(m,n) */ + /* Add, saturate and then store the results in the destination buffer. */ + /* Read values from source A */ + inA1 = pIn1[0]; + + /* Read values from source B */ + inB1 = pIn2[0]; + + /* Read values from source A */ + inA2 = pIn1[1]; + + /* Add and saturate */ + out1 = __QADD(inA1, inB1); + + /* Read values from source B */ + inB2 = pIn2[1]; + + /* Read values from source A */ + inA1 = pIn1[2]; + + /* Add and saturate */ + out2 = __QADD(inA2, inB2); + + /* Read values from source B */ + inB1 = pIn2[2]; + + /* Store result in destination */ + pOut[0] = out1; + pOut[1] = out2; + + /* Read values from source A */ + inA2 = pIn1[3]; + + /* Read values from source B */ + inB2 = pIn2[3]; + + /* Add and saturate */ + out1 = __QADD(inA1, inB1); + out2 = __QADD(inA2, inB2); + + /* Store result in destination */ + pOut[2] = out1; + pOut[3] = out2; + + /* update pointers to process next sampels */ + pIn1 += 4U; + pIn2 += 4U; + pOut += 4U; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the numSamples is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = numSamples % 0x4U; + +#else + + /* Run the below code for Cortex-M0 */ + + /* Initialize blkCnt with number of samples */ + blkCnt = numSamples; + + +#endif /* #if defined (ARM_MATH_DSP) */ + + while (blkCnt > 0U) + { + /* C(m,n) = A(m,n) + B(m,n) */ + /* Add, saturate and then store the results in the destination buffer. */ + inA1 = *pIn1++; + inB1 = *pIn2++; + + inA1 = __QADD(inA1, inB1); + + /* Decrement the loop counter */ + blkCnt--; + + *pOut++ = inA1; + + } + + /* set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + } + + /* Return to application */ + return (status); +} + +/** + * @} end of MatrixAdd group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_cmplx_mult_f32.c b/cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_cmplx_mult_f32.c new file mode 100644 index 0000000..9b2f532 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_cmplx_mult_f32.c @@ -0,0 +1,272 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_mat_cmplx_mult_f32.c + * Description: Floating-point matrix multiplication + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupMatrix + */ + +/** + * @defgroup CmplxMatrixMult Complex Matrix Multiplication + * + * Complex Matrix multiplication is only defined if the number of columns of the + * first matrix equals the number of rows of the second matrix. + * Multiplying an M x N matrix with an N x P matrix results + * in an M x P matrix. + * When matrix size checking is enabled, the functions check: (1) that the inner dimensions of + * pSrcA and pSrcB are equal; and (2) that the size of the output + * matrix equals the outer dimensions of pSrcA and pSrcB. + */ + + +/** + * @addtogroup CmplxMatrixMult + * @{ + */ + +/** + * @brief Floating-point Complex matrix multiplication. + * @param[in] *pSrcA points to the first input complex matrix structure + * @param[in] *pSrcB points to the second input complex matrix structure + * @param[out] *pDst points to output complex matrix structure + * @return The function returns either + * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. + */ + +arm_status arm_mat_cmplx_mult_f32( + const arm_matrix_instance_f32 * pSrcA, + const arm_matrix_instance_f32 * pSrcB, + arm_matrix_instance_f32 * pDst) +{ + float32_t *pIn1 = pSrcA->pData; /* input data matrix pointer A */ + float32_t *pIn2 = pSrcB->pData; /* input data matrix pointer B */ + float32_t *pInA = pSrcA->pData; /* input data matrix pointer A */ + float32_t *pOut = pDst->pData; /* output data matrix pointer */ + float32_t *px; /* Temporary output data matrix pointer */ + uint16_t numRowsA = pSrcA->numRows; /* number of rows of input matrix A */ + uint16_t numColsB = pSrcB->numCols; /* number of columns of input matrix B */ + uint16_t numColsA = pSrcA->numCols; /* number of columns of input matrix A */ + float32_t sumReal1, sumImag1; /* accumulator */ + float32_t a0, b0, c0, d0; + float32_t a1, b1, c1, d1; + float32_t sumReal2, sumImag2; /* accumulator */ + + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + uint16_t col, i = 0U, j, row = numRowsA, colCnt; /* loop counters */ + arm_status status; /* status of matrix multiplication */ + +#ifdef ARM_MATH_MATRIX_CHECK + + + /* Check for matrix mismatch condition */ + if ((pSrcA->numCols != pSrcB->numRows) || + (pSrcA->numRows != pDst->numRows) || (pSrcB->numCols != pDst->numCols)) + { + + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else +#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ + + { + /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */ + /* row loop */ + do + { + /* Output pointer is set to starting address of the row being processed */ + px = pOut + 2 * i; + + /* For every row wise process, the column loop counter is to be initiated */ + col = numColsB; + + /* For every row wise process, the pIn2 pointer is set + ** to the starting address of the pSrcB data */ + pIn2 = pSrcB->pData; + + j = 0U; + + /* column loop */ + do + { + /* Set the variable sum, that acts as accumulator, to zero */ + sumReal1 = 0.0f; + sumImag1 = 0.0f; + + sumReal2 = 0.0f; + sumImag2 = 0.0f; + + /* Initiate the pointer pIn1 to point to the starting address of the column being processed */ + pIn1 = pInA; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + colCnt = numColsA >> 2; + + /* matrix multiplication */ + while (colCnt > 0U) + { + + /* Reading real part of complex matrix A */ + a0 = *pIn1; + + /* Reading real part of complex matrix B */ + c0 = *pIn2; + + /* Reading imaginary part of complex matrix A */ + b0 = *(pIn1 + 1U); + + /* Reading imaginary part of complex matrix B */ + d0 = *(pIn2 + 1U); + + sumReal1 += a0 * c0; + sumImag1 += b0 * c0; + + pIn1 += 2U; + pIn2 += 2 * numColsB; + + sumReal2 -= b0 * d0; + sumImag2 += a0 * d0; + + /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */ + + a1 = *pIn1; + c1 = *pIn2; + + b1 = *(pIn1 + 1U); + d1 = *(pIn2 + 1U); + + sumReal1 += a1 * c1; + sumImag1 += b1 * c1; + + pIn1 += 2U; + pIn2 += 2 * numColsB; + + sumReal2 -= b1 * d1; + sumImag2 += a1 * d1; + + a0 = *pIn1; + c0 = *pIn2; + + b0 = *(pIn1 + 1U); + d0 = *(pIn2 + 1U); + + sumReal1 += a0 * c0; + sumImag1 += b0 * c0; + + pIn1 += 2U; + pIn2 += 2 * numColsB; + + sumReal2 -= b0 * d0; + sumImag2 += a0 * d0; + + /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */ + + a1 = *pIn1; + c1 = *pIn2; + + b1 = *(pIn1 + 1U); + d1 = *(pIn2 + 1U); + + sumReal1 += a1 * c1; + sumImag1 += b1 * c1; + + pIn1 += 2U; + pIn2 += 2 * numColsB; + + sumReal2 -= b1 * d1; + sumImag2 += a1 * d1; + + /* Decrement the loop count */ + colCnt--; + } + + /* If the columns of pSrcA is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + colCnt = numColsA % 0x4U; + + while (colCnt > 0U) + { + /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */ + a1 = *pIn1; + c1 = *pIn2; + + b1 = *(pIn1 + 1U); + d1 = *(pIn2 + 1U); + + sumReal1 += a1 * c1; + sumImag1 += b1 * c1; + + pIn1 += 2U; + pIn2 += 2 * numColsB; + + sumReal2 -= b1 * d1; + sumImag2 += a1 * d1; + + /* Decrement the loop counter */ + colCnt--; + } + + sumReal1 += sumReal2; + sumImag1 += sumImag2; + + /* Store the result in the destination buffer */ + *px++ = sumReal1; + *px++ = sumImag1; + + /* Update the pointer pIn2 to point to the starting address of the next column */ + j++; + pIn2 = pSrcB->pData + 2U * j; + + /* Decrement the column loop counter */ + col--; + + } while (col > 0U); + + /* Update the pointer pInA to point to the starting address of the next row */ + i = i + numColsB; + pInA = pInA + 2 * numColsA; + + /* Decrement the row loop counter */ + row--; + + } while (row > 0U); + + /* Set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + } + + /* Return to application */ + return (status); +} + +/** + * @} end of MatrixMult group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_cmplx_mult_q15.c b/cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_cmplx_mult_q15.c new file mode 100644 index 0000000..b1578a5 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_cmplx_mult_q15.c @@ -0,0 +1,413 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_cmplx_mat_mult_q15.c + * Description: Q15 complex matrix multiplication + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupMatrix + */ + +/** + * @addtogroup CmplxMatrixMult + * @{ + */ + + +/** + * @brief Q15 Complex matrix multiplication + * @param[in] *pSrcA points to the first input complex matrix structure + * @param[in] *pSrcB points to the second input complex matrix structure + * @param[out] *pDst points to output complex matrix structure + * @param[in] *pScratch points to the array for storing intermediate results + * @return The function returns either + * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. + * + * \par Conditions for optimum performance + * Input, output and state buffers should be aligned by 32-bit + * + * \par Restrictions + * If the silicon does not support unaligned memory access enable the macro UNALIGNED_SUPPORT_DISABLE + * In this case input, output, scratch buffers should be aligned by 32-bit + * + * @details + * Scaling and Overflow Behavior: + * + * \par + * The function is implemented using a 64-bit internal accumulator. The inputs to the + * multiplications are in 1.15 format and multiplications yield a 2.30 result. + * The 2.30 intermediate + * results are accumulated in a 64-bit accumulator in 34.30 format. This approach + * provides 33 guard bits and there is no risk of overflow. The 34.30 result is then + * truncated to 34.15 format by discarding the low 15 bits and then saturated to + * 1.15 format. + * + * \par + * Refer to arm_mat_mult_fast_q15() for a faster but less precise version of this function. + * + */ + + + + +arm_status arm_mat_cmplx_mult_q15( + const arm_matrix_instance_q15 * pSrcA, + const arm_matrix_instance_q15 * pSrcB, + arm_matrix_instance_q15 * pDst, + q15_t * pScratch) +{ + /* accumulator */ + q15_t *pSrcBT = pScratch; /* input data matrix pointer for transpose */ + q15_t *pInA = pSrcA->pData; /* input data matrix pointer A of Q15 type */ + q15_t *pInB = pSrcB->pData; /* input data matrix pointer B of Q15 type */ + q15_t *px; /* Temporary output data matrix pointer */ + uint16_t numRowsA = pSrcA->numRows; /* number of rows of input matrix A */ + uint16_t numColsB = pSrcB->numCols; /* number of columns of input matrix B */ + uint16_t numColsA = pSrcA->numCols; /* number of columns of input matrix A */ + uint16_t numRowsB = pSrcB->numRows; /* number of rows of input matrix A */ + uint16_t col, i = 0U, row = numRowsB, colCnt; /* loop counters */ + arm_status status; /* status of matrix multiplication */ + q63_t sumReal, sumImag; + +#ifdef UNALIGNED_SUPPORT_DISABLE + q15_t in; /* Temporary variable to hold the input value */ + q15_t a, b, c, d; +#else + q31_t in; /* Temporary variable to hold the input value */ + q31_t prod1, prod2; + q31_t pSourceA, pSourceB; +#endif + +#ifdef ARM_MATH_MATRIX_CHECK + /* Check for matrix mismatch condition */ + if ((pSrcA->numCols != pSrcB->numRows) || + (pSrcA->numRows != pDst->numRows) || (pSrcB->numCols != pDst->numCols)) + { + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else +#endif + { + /* Matrix transpose */ + do + { + /* Apply loop unrolling and exchange the columns with row elements */ + col = numColsB >> 2; + + /* The pointer px is set to starting address of the column being processed */ + px = pSrcBT + i; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (col > 0U) + { +#ifdef UNALIGNED_SUPPORT_DISABLE + /* Read two elements from the row */ + in = *pInB++; + *px = in; + in = *pInB++; + px[1] = in; + + /* Update the pointer px to point to the next row of the transposed matrix */ + px += numRowsB * 2; + + /* Read two elements from the row */ + in = *pInB++; + *px = in; + in = *pInB++; + px[1] = in; + + /* Update the pointer px to point to the next row of the transposed matrix */ + px += numRowsB * 2; + + /* Read two elements from the row */ + in = *pInB++; + *px = in; + in = *pInB++; + px[1] = in; + + /* Update the pointer px to point to the next row of the transposed matrix */ + px += numRowsB * 2; + + /* Read two elements from the row */ + in = *pInB++; + *px = in; + in = *pInB++; + px[1] = in; + + /* Update the pointer px to point to the next row of the transposed matrix */ + px += numRowsB * 2; + + /* Decrement the column loop counter */ + col--; + } + + /* If the columns of pSrcB is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + col = numColsB % 0x4U; + + while (col > 0U) + { + /* Read two elements from the row */ + in = *pInB++; + *px = in; + in = *pInB++; + px[1] = in; +#else + + /* Read two elements from the row */ + in = *__SIMD32(pInB)++; + + *__SIMD32(px) = in; + + /* Update the pointer px to point to the next row of the transposed matrix */ + px += numRowsB * 2; + + + /* Read two elements from the row */ + in = *__SIMD32(pInB)++; + + *__SIMD32(px) = in; + + /* Update the pointer px to point to the next row of the transposed matrix */ + px += numRowsB * 2; + + /* Read two elements from the row */ + in = *__SIMD32(pInB)++; + + *__SIMD32(px) = in; + + /* Update the pointer px to point to the next row of the transposed matrix */ + px += numRowsB * 2; + + /* Read two elements from the row */ + in = *__SIMD32(pInB)++; + + *__SIMD32(px) = in; + + /* Update the pointer px to point to the next row of the transposed matrix */ + px += numRowsB * 2; + + /* Decrement the column loop counter */ + col--; + } + + /* If the columns of pSrcB is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + col = numColsB % 0x4U; + + while (col > 0U) + { + /* Read two elements from the row */ + in = *__SIMD32(pInB)++; + + *__SIMD32(px) = in; +#endif + + /* Update the pointer px to point to the next row of the transposed matrix */ + px += numRowsB * 2; + + /* Decrement the column loop counter */ + col--; + } + + i = i + 2U; + + /* Decrement the row loop counter */ + row--; + + } while (row > 0U); + + /* Reset the variables for the usage in the following multiplication process */ + row = numRowsA; + i = 0U; + px = pDst->pData; + + /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */ + /* row loop */ + do + { + /* For every row wise process, the column loop counter is to be initiated */ + col = numColsB; + + /* For every row wise process, the pIn2 pointer is set + ** to the starting address of the transposed pSrcB data */ + pInB = pSrcBT; + + /* column loop */ + do + { + /* Set the variable sum, that acts as accumulator, to zero */ + sumReal = 0; + sumImag = 0; + + /* Apply loop unrolling and compute 2 MACs simultaneously. */ + colCnt = numColsA >> 1; + + /* Initiate the pointer pIn1 to point to the starting address of the column being processed */ + pInA = pSrcA->pData + i * 2; + + + /* matrix multiplication */ + while (colCnt > 0U) + { + /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */ + +#ifdef UNALIGNED_SUPPORT_DISABLE + + /* read real and imag values from pSrcA buffer */ + a = *pInA; + b = *(pInA + 1U); + /* read real and imag values from pSrcB buffer */ + c = *pInB; + d = *(pInB + 1U); + + /* Multiply and Accumlates */ + sumReal += (q31_t) a *c; + sumImag += (q31_t) a *d; + sumReal -= (q31_t) b *d; + sumImag += (q31_t) b *c; + + /* read next real and imag values from pSrcA buffer */ + a = *(pInA + 2U); + b = *(pInA + 3U); + /* read next real and imag values from pSrcB buffer */ + c = *(pInB + 2U); + d = *(pInB + 3U); + + /* update pointer */ + pInA += 4U; + + /* Multiply and Accumlates */ + sumReal += (q31_t) a *c; + sumImag += (q31_t) a *d; + sumReal -= (q31_t) b *d; + sumImag += (q31_t) b *c; + /* update pointer */ + pInB += 4U; +#else + /* read real and imag values from pSrcA and pSrcB buffer */ + pSourceA = *__SIMD32(pInA)++; + pSourceB = *__SIMD32(pInB)++; + + /* Multiply and Accumlates */ +#ifdef ARM_MATH_BIG_ENDIAN + prod1 = -__SMUSD(pSourceA, pSourceB); +#else + prod1 = __SMUSD(pSourceA, pSourceB); +#endif + prod2 = __SMUADX(pSourceA, pSourceB); + sumReal += (q63_t) prod1; + sumImag += (q63_t) prod2; + + /* read real and imag values from pSrcA and pSrcB buffer */ + pSourceA = *__SIMD32(pInA)++; + pSourceB = *__SIMD32(pInB)++; + + /* Multiply and Accumlates */ +#ifdef ARM_MATH_BIG_ENDIAN + prod1 = -__SMUSD(pSourceA, pSourceB); +#else + prod1 = __SMUSD(pSourceA, pSourceB); +#endif + prod2 = __SMUADX(pSourceA, pSourceB); + sumReal += (q63_t) prod1; + sumImag += (q63_t) prod2; + +#endif /* #ifdef UNALIGNED_SUPPORT_DISABLE */ + + /* Decrement the loop counter */ + colCnt--; + } + + /* process odd column samples */ + if ((numColsA & 0x1U) > 0U) + { + /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */ + +#ifdef UNALIGNED_SUPPORT_DISABLE + + /* read real and imag values from pSrcA and pSrcB buffer */ + a = *pInA++; + b = *pInA++; + c = *pInB++; + d = *pInB++; + + /* Multiply and Accumlates */ + sumReal += (q31_t) a *c; + sumImag += (q31_t) a *d; + sumReal -= (q31_t) b *d; + sumImag += (q31_t) b *c; + +#else + /* read real and imag values from pSrcA and pSrcB buffer */ + pSourceA = *__SIMD32(pInA)++; + pSourceB = *__SIMD32(pInB)++; + + /* Multiply and Accumlates */ +#ifdef ARM_MATH_BIG_ENDIAN + prod1 = -__SMUSD(pSourceA, pSourceB); +#else + prod1 = __SMUSD(pSourceA, pSourceB); +#endif + prod2 = __SMUADX(pSourceA, pSourceB); + sumReal += (q63_t) prod1; + sumImag += (q63_t) prod2; + +#endif /* #ifdef UNALIGNED_SUPPORT_DISABLE */ + + } + + /* Saturate and store the result in the destination buffer */ + + *px++ = (q15_t) (__SSAT(sumReal >> 15, 16)); + *px++ = (q15_t) (__SSAT(sumImag >> 15, 16)); + + /* Decrement the column loop counter */ + col--; + + } while (col > 0U); + + i = i + numColsA; + + /* Decrement the row loop counter */ + row--; + + } while (row > 0U); + + /* set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + } + + /* Return to application */ + return (status); +} + +/** + * @} end of MatrixMult group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_cmplx_mult_q31.c b/cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_cmplx_mult_q31.c new file mode 100644 index 0000000..a05440e --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_cmplx_mult_q31.c @@ -0,0 +1,282 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_mat_cmplx_mult_q31.c + * Description: Floating-point matrix multiplication + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupMatrix + */ + +/** + * @addtogroup CmplxMatrixMult + * @{ + */ + +/** + * @brief Q31 Complex matrix multiplication + * @param[in] *pSrcA points to the first input complex matrix structure + * @param[in] *pSrcB points to the second input complex matrix structure + * @param[out] *pDst points to output complex matrix structure + * @return The function returns either + * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. + * + * @details + * Scaling and Overflow Behavior: + * + * \par + * The function is implemented using an internal 64-bit accumulator. + * The accumulator has a 2.62 format and maintains full precision of the intermediate + * multiplication results but provides only a single guard bit. There is no saturation + * on intermediate additions. Thus, if the accumulator overflows it wraps around and + * distorts the result. The input signals should be scaled down to avoid intermediate + * overflows. The input is thus scaled down by log2(numColsA) bits + * to avoid overflows, as a total of numColsA additions are performed internally. + * The 2.62 accumulator is right shifted by 31 bits and saturated to 1.31 format to yield the final result. + * + * + */ + +arm_status arm_mat_cmplx_mult_q31( + const arm_matrix_instance_q31 * pSrcA, + const arm_matrix_instance_q31 * pSrcB, + arm_matrix_instance_q31 * pDst) +{ + q31_t *pIn1 = pSrcA->pData; /* input data matrix pointer A */ + q31_t *pIn2 = pSrcB->pData; /* input data matrix pointer B */ + q31_t *pInA = pSrcA->pData; /* input data matrix pointer A */ + q31_t *pOut = pDst->pData; /* output data matrix pointer */ + q31_t *px; /* Temporary output data matrix pointer */ + uint16_t numRowsA = pSrcA->numRows; /* number of rows of input matrix A */ + uint16_t numColsB = pSrcB->numCols; /* number of columns of input matrix B */ + uint16_t numColsA = pSrcA->numCols; /* number of columns of input matrix A */ + q63_t sumReal1, sumImag1; /* accumulator */ + q31_t a0, b0, c0, d0; + q31_t a1, b1, c1, d1; + + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + uint16_t col, i = 0U, j, row = numRowsA, colCnt; /* loop counters */ + arm_status status; /* status of matrix multiplication */ + +#ifdef ARM_MATH_MATRIX_CHECK + + + /* Check for matrix mismatch condition */ + if ((pSrcA->numCols != pSrcB->numRows) || + (pSrcA->numRows != pDst->numRows) || (pSrcB->numCols != pDst->numCols)) + { + + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else +#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ + + { + /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */ + /* row loop */ + do + { + /* Output pointer is set to starting address of the row being processed */ + px = pOut + 2 * i; + + /* For every row wise process, the column loop counter is to be initiated */ + col = numColsB; + + /* For every row wise process, the pIn2 pointer is set + ** to the starting address of the pSrcB data */ + pIn2 = pSrcB->pData; + + j = 0U; + + /* column loop */ + do + { + /* Set the variable sum, that acts as accumulator, to zero */ + sumReal1 = 0.0; + sumImag1 = 0.0; + + /* Initiate the pointer pIn1 to point to the starting address of the column being processed */ + pIn1 = pInA; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + colCnt = numColsA >> 2; + + /* matrix multiplication */ + while (colCnt > 0U) + { + + /* Reading real part of complex matrix A */ + a0 = *pIn1; + + /* Reading real part of complex matrix B */ + c0 = *pIn2; + + /* Reading imaginary part of complex matrix A */ + b0 = *(pIn1 + 1U); + + /* Reading imaginary part of complex matrix B */ + d0 = *(pIn2 + 1U); + + /* Multiply and Accumlates */ + sumReal1 += (q63_t) a0 *c0; + sumImag1 += (q63_t) b0 *c0; + + /* update pointers */ + pIn1 += 2U; + pIn2 += 2 * numColsB; + + /* Multiply and Accumlates */ + sumReal1 -= (q63_t) b0 *d0; + sumImag1 += (q63_t) a0 *d0; + + /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */ + + /* read real and imag values from pSrcA and pSrcB buffer */ + a1 = *pIn1; + c1 = *pIn2; + b1 = *(pIn1 + 1U); + d1 = *(pIn2 + 1U); + + /* Multiply and Accumlates */ + sumReal1 += (q63_t) a1 *c1; + sumImag1 += (q63_t) b1 *c1; + + /* update pointers */ + pIn1 += 2U; + pIn2 += 2 * numColsB; + + /* Multiply and Accumlates */ + sumReal1 -= (q63_t) b1 *d1; + sumImag1 += (q63_t) a1 *d1; + + a0 = *pIn1; + c0 = *pIn2; + + b0 = *(pIn1 + 1U); + d0 = *(pIn2 + 1U); + + /* Multiply and Accumlates */ + sumReal1 += (q63_t) a0 *c0; + sumImag1 += (q63_t) b0 *c0; + + /* update pointers */ + pIn1 += 2U; + pIn2 += 2 * numColsB; + + /* Multiply and Accumlates */ + sumReal1 -= (q63_t) b0 *d0; + sumImag1 += (q63_t) a0 *d0; + + /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */ + + a1 = *pIn1; + c1 = *pIn2; + + b1 = *(pIn1 + 1U); + d1 = *(pIn2 + 1U); + + /* Multiply and Accumlates */ + sumReal1 += (q63_t) a1 *c1; + sumImag1 += (q63_t) b1 *c1; + + /* update pointers */ + pIn1 += 2U; + pIn2 += 2 * numColsB; + + /* Multiply and Accumlates */ + sumReal1 -= (q63_t) b1 *d1; + sumImag1 += (q63_t) a1 *d1; + + /* Decrement the loop count */ + colCnt--; + } + + /* If the columns of pSrcA is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + colCnt = numColsA % 0x4U; + + while (colCnt > 0U) + { + /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */ + a1 = *pIn1; + c1 = *pIn2; + + b1 = *(pIn1 + 1U); + d1 = *(pIn2 + 1U); + + /* Multiply and Accumlates */ + sumReal1 += (q63_t) a1 *c1; + sumImag1 += (q63_t) b1 *c1; + + /* update pointers */ + pIn1 += 2U; + pIn2 += 2 * numColsB; + + /* Multiply and Accumlates */ + sumReal1 -= (q63_t) b1 *d1; + sumImag1 += (q63_t) a1 *d1; + + /* Decrement the loop counter */ + colCnt--; + } + + /* Store the result in the destination buffer */ + *px++ = (q31_t) clip_q63_to_q31(sumReal1 >> 31); + *px++ = (q31_t) clip_q63_to_q31(sumImag1 >> 31); + + /* Update the pointer pIn2 to point to the starting address of the next column */ + j++; + pIn2 = pSrcB->pData + 2U * j; + + /* Decrement the column loop counter */ + col--; + + } while (col > 0U); + + /* Update the pointer pInA to point to the starting address of the next row */ + i = i + numColsB; + pInA = pInA + 2 * numColsA; + + /* Decrement the row loop counter */ + row--; + + } while (row > 0U); + + /* Set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + } + + /* Return to application */ + return (status); +} + +/** + * @} end of MatrixMult group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_init_f32.c b/cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_init_f32.c new file mode 100644 index 0000000..34399c7 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_init_f32.c @@ -0,0 +1,76 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_mat_init_f32.c + * Description: Floating-point matrix initialization + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupMatrix + */ + +/** + * @defgroup MatrixInit Matrix Initialization + * + * Initializes the underlying matrix data structure. + * The functions set the numRows, + * numCols, and pData fields + * of the matrix data structure. + */ + +/** + * @addtogroup MatrixInit + * @{ + */ + +/** + * @brief Floating-point matrix initialization. + * @param[in,out] *S points to an instance of the floating-point matrix structure. + * @param[in] nRows number of rows in the matrix. + * @param[in] nColumns number of columns in the matrix. + * @param[in] *pData points to the matrix data array. + * @return none + */ + +void arm_mat_init_f32( + arm_matrix_instance_f32 * S, + uint16_t nRows, + uint16_t nColumns, + float32_t * pData) +{ + /* Assign Number of Rows */ + S->numRows = nRows; + + /* Assign Number of Columns */ + S->numCols = nColumns; + + /* Assign Data pointer */ + S->pData = pData; +} + +/** + * @} end of MatrixInit group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_init_q15.c b/cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_init_q15.c new file mode 100644 index 0000000..6be7387 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_init_q15.c @@ -0,0 +1,67 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_mat_init_q15.c + * Description: Q15 matrix initialization + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupMatrix + */ + +/** + * @addtogroup MatrixInit + * @{ + */ + + /** + * @brief Q15 matrix initialization. + * @param[in,out] *S points to an instance of the floating-point matrix structure. + * @param[in] nRows number of rows in the matrix. + * @param[in] nColumns number of columns in the matrix. + * @param[in] *pData points to the matrix data array. + * @return none + */ + +void arm_mat_init_q15( + arm_matrix_instance_q15 * S, + uint16_t nRows, + uint16_t nColumns, + q15_t * pData) +{ + /* Assign Number of Rows */ + S->numRows = nRows; + + /* Assign Number of Columns */ + S->numCols = nColumns; + + /* Assign Data pointer */ + S->pData = pData; +} + +/** + * @} end of MatrixInit group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_init_q31.c b/cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_init_q31.c new file mode 100644 index 0000000..c8a0839 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_init_q31.c @@ -0,0 +1,72 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_mat_init_q31.c + * Description: Q31 matrix initialization + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupMatrix + */ + +/** + * @defgroup MatrixInit Matrix Initialization + * + */ + +/** + * @addtogroup MatrixInit + * @{ + */ + + /** + * @brief Q31 matrix initialization. + * @param[in,out] *S points to an instance of the floating-point matrix structure. + * @param[in] nRows number of rows in the matrix. + * @param[in] nColumns number of columns in the matrix. + * @param[in] *pData points to the matrix data array. + * @return none + */ + +void arm_mat_init_q31( + arm_matrix_instance_q31 * S, + uint16_t nRows, + uint16_t nColumns, + q31_t * pData) +{ + /* Assign Number of Rows */ + S->numRows = nRows; + + /* Assign Number of Columns */ + S->numCols = nColumns; + + /* Assign Data pointer */ + S->pData = pData; +} + +/** + * @} end of MatrixInit group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_inverse_f32.c b/cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_inverse_f32.c new file mode 100644 index 0000000..c0f8fc4 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_inverse_f32.c @@ -0,0 +1,691 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_mat_inverse_f32.c + * Description: Floating-point matrix inverse + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupMatrix + */ + +/** + * @defgroup MatrixInv Matrix Inverse + * + * Computes the inverse of a matrix. + * + * The inverse is defined only if the input matrix is square and non-singular (the determinant + * is non-zero). The function checks that the input and output matrices are square and of the + * same size. + * + * Matrix inversion is numerically sensitive and the CMSIS DSP library only supports matrix + * inversion of floating-point matrices. + * + * \par Algorithm + * The Gauss-Jordan method is used to find the inverse. + * The algorithm performs a sequence of elementary row-operations until it + * reduces the input matrix to an identity matrix. Applying the same sequence + * of elementary row-operations to an identity matrix yields the inverse matrix. + * If the input matrix is singular, then the algorithm terminates and returns error status + * ARM_MATH_SINGULAR. + * \image html MatrixInverse.gif "Matrix Inverse of a 3 x 3 matrix using Gauss-Jordan Method" + */ + +/** + * @addtogroup MatrixInv + * @{ + */ + +/** + * @brief Floating-point matrix inverse. + * @param[in] *pSrc points to input matrix structure + * @param[out] *pDst points to output matrix structure + * @return The function returns + * ARM_MATH_SIZE_MISMATCH if the input matrix is not square or if the size + * of the output matrix does not match the size of the input matrix. + * If the input matrix is found to be singular (non-invertible), then the function returns + * ARM_MATH_SINGULAR. Otherwise, the function returns ARM_MATH_SUCCESS. + */ + +arm_status arm_mat_inverse_f32( + const arm_matrix_instance_f32 * pSrc, + arm_matrix_instance_f32 * pDst) +{ + float32_t *pIn = pSrc->pData; /* input data matrix pointer */ + float32_t *pOut = pDst->pData; /* output data matrix pointer */ + float32_t *pInT1, *pInT2; /* Temporary input data matrix pointer */ + float32_t *pOutT1, *pOutT2; /* Temporary output data matrix pointer */ + float32_t *pPivotRowIn, *pPRT_in, *pPivotRowDst, *pPRT_pDst; /* Temporary input and output data matrix pointer */ + uint32_t numRows = pSrc->numRows; /* Number of rows in the matrix */ + uint32_t numCols = pSrc->numCols; /* Number of Cols in the matrix */ + +#if defined (ARM_MATH_DSP) + float32_t maxC; /* maximum value in the column */ + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + float32_t Xchg, in = 0.0f, in1; /* Temporary input values */ + uint32_t i, rowCnt, flag = 0U, j, loopCnt, k, l; /* loop counters */ + arm_status status; /* status of matrix inverse */ + +#ifdef ARM_MATH_MATRIX_CHECK + + + /* Check for matrix mismatch condition */ + if ((pSrc->numRows != pSrc->numCols) || (pDst->numRows != pDst->numCols) + || (pSrc->numRows != pDst->numRows)) + { + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else +#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ + + { + + /*-------------------------------------------------------------------------------------------------------------- + * Matrix Inverse can be solved using elementary row operations. + * + * Gauss-Jordan Method: + * + * 1. First combine the identity matrix and the input matrix separated by a bar to form an + * augmented matrix as follows: + * _ _ _ _ + * | a11 a12 | 1 0 | | X11 X12 | + * | | | = | | + * |_ a21 a22 | 0 1 _| |_ X21 X21 _| + * + * 2. In our implementation, pDst Matrix is used as identity matrix. + * + * 3. Begin with the first row. Let i = 1. + * + * 4. Check to see if the pivot for column i is the greatest of the column. + * The pivot is the element of the main diagonal that is on the current row. + * For instance, if working with row i, then the pivot element is aii. + * If the pivot is not the most significant of the columns, exchange that row with a row + * below it that does contain the most significant value in column i. If the most + * significant value of the column is zero, then an inverse to that matrix does not exist. + * The most significant value of the column is the absolute maximum. + * + * 5. Divide every element of row i by the pivot. + * + * 6. For every row below and row i, replace that row with the sum of that row and + * a multiple of row i so that each new element in column i below row i is zero. + * + * 7. Move to the next row and column and repeat steps 2 through 5 until you have zeros + * for every element below and above the main diagonal. + * + * 8. Now an identical matrix is formed to the left of the bar(input matrix, pSrc). + * Therefore, the matrix to the right of the bar is our solution(pDst matrix, pDst). + *----------------------------------------------------------------------------------------------------------------*/ + + /* Working pointer for destination matrix */ + pOutT1 = pOut; + + /* Loop over the number of rows */ + rowCnt = numRows; + + /* Making the destination matrix as identity matrix */ + while (rowCnt > 0U) + { + /* Writing all zeroes in lower triangle of the destination matrix */ + j = numRows - rowCnt; + while (j > 0U) + { + *pOutT1++ = 0.0f; + j--; + } + + /* Writing all ones in the diagonal of the destination matrix */ + *pOutT1++ = 1.0f; + + /* Writing all zeroes in upper triangle of the destination matrix */ + j = rowCnt - 1U; + while (j > 0U) + { + *pOutT1++ = 0.0f; + j--; + } + + /* Decrement the loop counter */ + rowCnt--; + } + + /* Loop over the number of columns of the input matrix. + All the elements in each column are processed by the row operations */ + loopCnt = numCols; + + /* Index modifier to navigate through the columns */ + l = 0U; + + while (loopCnt > 0U) + { + /* Check if the pivot element is zero.. + * If it is zero then interchange the row with non zero row below. + * If there is no non zero element to replace in the rows below, + * then the matrix is Singular. */ + + /* Working pointer for the input matrix that points + * to the pivot element of the particular row */ + pInT1 = pIn + (l * numCols); + + /* Working pointer for the destination matrix that points + * to the pivot element of the particular row */ + pOutT1 = pOut + (l * numCols); + + /* Temporary variable to hold the pivot value */ + in = *pInT1; + + /* Grab the most significant value from column l */ + maxC = 0; + for (i = l; i < numRows; i++) + { + maxC = *pInT1 > 0 ? (*pInT1 > maxC ? *pInT1 : maxC) : (-*pInT1 > maxC ? -*pInT1 : maxC); + pInT1 += numCols; + } + + /* Update the status if the matrix is singular */ + if (maxC == 0.0f) + { + return ARM_MATH_SINGULAR; + } + + /* Restore pInT1 */ + pInT1 = pIn; + + /* Destination pointer modifier */ + k = 1U; + + /* Check if the pivot element is the most significant of the column */ + if ( (in > 0.0f ? in : -in) != maxC) + { + /* Loop over the number rows present below */ + i = numRows - (l + 1U); + + while (i > 0U) + { + /* Update the input and destination pointers */ + pInT2 = pInT1 + (numCols * l); + pOutT2 = pOutT1 + (numCols * k); + + /* Look for the most significant element to + * replace in the rows below */ + if ((*pInT2 > 0.0f ? *pInT2: -*pInT2) == maxC) + { + /* Loop over number of columns + * to the right of the pilot element */ + j = numCols - l; + + while (j > 0U) + { + /* Exchange the row elements of the input matrix */ + Xchg = *pInT2; + *pInT2++ = *pInT1; + *pInT1++ = Xchg; + + /* Decrement the loop counter */ + j--; + } + + /* Loop over number of columns of the destination matrix */ + j = numCols; + + while (j > 0U) + { + /* Exchange the row elements of the destination matrix */ + Xchg = *pOutT2; + *pOutT2++ = *pOutT1; + *pOutT1++ = Xchg; + + /* Decrement the loop counter */ + j--; + } + + /* Flag to indicate whether exchange is done or not */ + flag = 1U; + + /* Break after exchange is done */ + break; + } + + /* Update the destination pointer modifier */ + k++; + + /* Decrement the loop counter */ + i--; + } + } + + /* Update the status if the matrix is singular */ + if ((flag != 1U) && (in == 0.0f)) + { + return ARM_MATH_SINGULAR; + } + + /* Points to the pivot row of input and destination matrices */ + pPivotRowIn = pIn + (l * numCols); + pPivotRowDst = pOut + (l * numCols); + + /* Temporary pointers to the pivot row pointers */ + pInT1 = pPivotRowIn; + pInT2 = pPivotRowDst; + + /* Pivot element of the row */ + in = *pPivotRowIn; + + /* Loop over number of columns + * to the right of the pilot element */ + j = (numCols - l); + + while (j > 0U) + { + /* Divide each element of the row of the input matrix + * by the pivot element */ + in1 = *pInT1; + *pInT1++ = in1 / in; + + /* Decrement the loop counter */ + j--; + } + + /* Loop over number of columns of the destination matrix */ + j = numCols; + + while (j > 0U) + { + /* Divide each element of the row of the destination matrix + * by the pivot element */ + in1 = *pInT2; + *pInT2++ = in1 / in; + + /* Decrement the loop counter */ + j--; + } + + /* Replace the rows with the sum of that row and a multiple of row i + * so that each new element in column i above row i is zero.*/ + + /* Temporary pointers for input and destination matrices */ + pInT1 = pIn; + pInT2 = pOut; + + /* index used to check for pivot element */ + i = 0U; + + /* Loop over number of rows */ + /* to be replaced by the sum of that row and a multiple of row i */ + k = numRows; + + while (k > 0U) + { + /* Check for the pivot element */ + if (i == l) + { + /* If the processing element is the pivot element, + only the columns to the right are to be processed */ + pInT1 += numCols - l; + + pInT2 += numCols; + } + else + { + /* Element of the reference row */ + in = *pInT1; + + /* Working pointers for input and destination pivot rows */ + pPRT_in = pPivotRowIn; + pPRT_pDst = pPivotRowDst; + + /* Loop over the number of columns to the right of the pivot element, + to replace the elements in the input matrix */ + j = (numCols - l); + + while (j > 0U) + { + /* Replace the element by the sum of that row + and a multiple of the reference row */ + in1 = *pInT1; + *pInT1++ = in1 - (in * *pPRT_in++); + + /* Decrement the loop counter */ + j--; + } + + /* Loop over the number of columns to + replace the elements in the destination matrix */ + j = numCols; + + while (j > 0U) + { + /* Replace the element by the sum of that row + and a multiple of the reference row */ + in1 = *pInT2; + *pInT2++ = in1 - (in * *pPRT_pDst++); + + /* Decrement the loop counter */ + j--; + } + + } + + /* Increment the temporary input pointer */ + pInT1 = pInT1 + l; + + /* Decrement the loop counter */ + k--; + + /* Increment the pivot index */ + i++; + } + + /* Increment the input pointer */ + pIn++; + + /* Decrement the loop counter */ + loopCnt--; + + /* Increment the index modifier */ + l++; + } + + +#else + + /* Run the below code for Cortex-M0 */ + + float32_t Xchg, in = 0.0f; /* Temporary input values */ + uint32_t i, rowCnt, flag = 0U, j, loopCnt, k, l; /* loop counters */ + arm_status status; /* status of matrix inverse */ + +#ifdef ARM_MATH_MATRIX_CHECK + + /* Check for matrix mismatch condition */ + if ((pSrc->numRows != pSrc->numCols) || (pDst->numRows != pDst->numCols) + || (pSrc->numRows != pDst->numRows)) + { + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else +#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ + { + + /*-------------------------------------------------------------------------------------------------------------- + * Matrix Inverse can be solved using elementary row operations. + * + * Gauss-Jordan Method: + * + * 1. First combine the identity matrix and the input matrix separated by a bar to form an + * augmented matrix as follows: + * _ _ _ _ _ _ _ _ + * | | a11 a12 | | | 1 0 | | | X11 X12 | + * | | | | | | | = | | + * |_ |_ a21 a22 _| | |_0 1 _| _| |_ X21 X21 _| + * + * 2. In our implementation, pDst Matrix is used as identity matrix. + * + * 3. Begin with the first row. Let i = 1. + * + * 4. Check to see if the pivot for row i is zero. + * The pivot is the element of the main diagonal that is on the current row. + * For instance, if working with row i, then the pivot element is aii. + * If the pivot is zero, exchange that row with a row below it that does not + * contain a zero in column i. If this is not possible, then an inverse + * to that matrix does not exist. + * + * 5. Divide every element of row i by the pivot. + * + * 6. For every row below and row i, replace that row with the sum of that row and + * a multiple of row i so that each new element in column i below row i is zero. + * + * 7. Move to the next row and column and repeat steps 2 through 5 until you have zeros + * for every element below and above the main diagonal. + * + * 8. Now an identical matrix is formed to the left of the bar(input matrix, src). + * Therefore, the matrix to the right of the bar is our solution(dst matrix, dst). + *----------------------------------------------------------------------------------------------------------------*/ + + /* Working pointer for destination matrix */ + pOutT1 = pOut; + + /* Loop over the number of rows */ + rowCnt = numRows; + + /* Making the destination matrix as identity matrix */ + while (rowCnt > 0U) + { + /* Writing all zeroes in lower triangle of the destination matrix */ + j = numRows - rowCnt; + while (j > 0U) + { + *pOutT1++ = 0.0f; + j--; + } + + /* Writing all ones in the diagonal of the destination matrix */ + *pOutT1++ = 1.0f; + + /* Writing all zeroes in upper triangle of the destination matrix */ + j = rowCnt - 1U; + while (j > 0U) + { + *pOutT1++ = 0.0f; + j--; + } + + /* Decrement the loop counter */ + rowCnt--; + } + + /* Loop over the number of columns of the input matrix. + All the elements in each column are processed by the row operations */ + loopCnt = numCols; + + /* Index modifier to navigate through the columns */ + l = 0U; + //for(loopCnt = 0U; loopCnt < numCols; loopCnt++) + while (loopCnt > 0U) + { + /* Check if the pivot element is zero.. + * If it is zero then interchange the row with non zero row below. + * If there is no non zero element to replace in the rows below, + * then the matrix is Singular. */ + + /* Working pointer for the input matrix that points + * to the pivot element of the particular row */ + pInT1 = pIn + (l * numCols); + + /* Working pointer for the destination matrix that points + * to the pivot element of the particular row */ + pOutT1 = pOut + (l * numCols); + + /* Temporary variable to hold the pivot value */ + in = *pInT1; + + /* Destination pointer modifier */ + k = 1U; + + /* Check if the pivot element is zero */ + if (*pInT1 == 0.0f) + { + /* Loop over the number rows present below */ + for (i = (l + 1U); i < numRows; i++) + { + /* Update the input and destination pointers */ + pInT2 = pInT1 + (numCols * l); + pOutT2 = pOutT1 + (numCols * k); + + /* Check if there is a non zero pivot element to + * replace in the rows below */ + if (*pInT2 != 0.0f) + { + /* Loop over number of columns + * to the right of the pilot element */ + for (j = 0U; j < (numCols - l); j++) + { + /* Exchange the row elements of the input matrix */ + Xchg = *pInT2; + *pInT2++ = *pInT1; + *pInT1++ = Xchg; + } + + for (j = 0U; j < numCols; j++) + { + Xchg = *pOutT2; + *pOutT2++ = *pOutT1; + *pOutT1++ = Xchg; + } + + /* Flag to indicate whether exchange is done or not */ + flag = 1U; + + /* Break after exchange is done */ + break; + } + + /* Update the destination pointer modifier */ + k++; + } + } + + /* Update the status if the matrix is singular */ + if ((flag != 1U) && (in == 0.0f)) + { + return ARM_MATH_SINGULAR; + } + + /* Points to the pivot row of input and destination matrices */ + pPivotRowIn = pIn + (l * numCols); + pPivotRowDst = pOut + (l * numCols); + + /* Temporary pointers to the pivot row pointers */ + pInT1 = pPivotRowIn; + pOutT1 = pPivotRowDst; + + /* Pivot element of the row */ + in = *(pIn + (l * numCols)); + + /* Loop over number of columns + * to the right of the pilot element */ + for (j = 0U; j < (numCols - l); j++) + { + /* Divide each element of the row of the input matrix + * by the pivot element */ + *pInT1 = *pInT1 / in; + pInT1++; + } + for (j = 0U; j < numCols; j++) + { + /* Divide each element of the row of the destination matrix + * by the pivot element */ + *pOutT1 = *pOutT1 / in; + pOutT1++; + } + + /* Replace the rows with the sum of that row and a multiple of row i + * so that each new element in column i above row i is zero.*/ + + /* Temporary pointers for input and destination matrices */ + pInT1 = pIn; + pOutT1 = pOut; + + for (i = 0U; i < numRows; i++) + { + /* Check for the pivot element */ + if (i == l) + { + /* If the processing element is the pivot element, + only the columns to the right are to be processed */ + pInT1 += numCols - l; + pOutT1 += numCols; + } + else + { + /* Element of the reference row */ + in = *pInT1; + + /* Working pointers for input and destination pivot rows */ + pPRT_in = pPivotRowIn; + pPRT_pDst = pPivotRowDst; + + /* Loop over the number of columns to the right of the pivot element, + to replace the elements in the input matrix */ + for (j = 0U; j < (numCols - l); j++) + { + /* Replace the element by the sum of that row + and a multiple of the reference row */ + *pInT1 = *pInT1 - (in * *pPRT_in++); + pInT1++; + } + /* Loop over the number of columns to + replace the elements in the destination matrix */ + for (j = 0U; j < numCols; j++) + { + /* Replace the element by the sum of that row + and a multiple of the reference row */ + *pOutT1 = *pOutT1 - (in * *pPRT_pDst++); + pOutT1++; + } + + } + /* Increment the temporary input pointer */ + pInT1 = pInT1 + l; + } + /* Increment the input pointer */ + pIn++; + + /* Decrement the loop counter */ + loopCnt--; + /* Increment the index modifier */ + l++; + } + + +#endif /* #if defined (ARM_MATH_DSP) */ + + /* Set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + + if ((flag != 1U) && (in == 0.0f)) + { + pIn = pSrc->pData; + for (i = 0; i < numRows * numCols; i++) + { + if (pIn[i] != 0.0f) + break; + } + + if (i == numRows * numCols) + status = ARM_MATH_SINGULAR; + } + } + /* Return to application */ + return (status); +} + +/** + * @} end of MatrixInv group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_inverse_f64.c b/cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_inverse_f64.c new file mode 100644 index 0000000..441376b --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_inverse_f64.c @@ -0,0 +1,691 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_mat_inverse_f64.c + * Description: Floating-point matrix inverse + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupMatrix + */ + +/** + * @defgroup MatrixInv Matrix Inverse + * + * Computes the inverse of a matrix. + * + * The inverse is defined only if the input matrix is square and non-singular (the determinant + * is non-zero). The function checks that the input and output matrices are square and of the + * same size. + * + * Matrix inversion is numerically sensitive and the CMSIS DSP library only supports matrix + * inversion of floating-point matrices. + * + * \par Algorithm + * The Gauss-Jordan method is used to find the inverse. + * The algorithm performs a sequence of elementary row-operations until it + * reduces the input matrix to an identity matrix. Applying the same sequence + * of elementary row-operations to an identity matrix yields the inverse matrix. + * If the input matrix is singular, then the algorithm terminates and returns error status + * ARM_MATH_SINGULAR. + * \image html MatrixInverse.gif "Matrix Inverse of a 3 x 3 matrix using Gauss-Jordan Method" + */ + +/** + * @addtogroup MatrixInv + * @{ + */ + +/** + * @brief Floating-point matrix inverse. + * @param[in] *pSrc points to input matrix structure + * @param[out] *pDst points to output matrix structure + * @return The function returns + * ARM_MATH_SIZE_MISMATCH if the input matrix is not square or if the size + * of the output matrix does not match the size of the input matrix. + * If the input matrix is found to be singular (non-invertible), then the function returns + * ARM_MATH_SINGULAR. Otherwise, the function returns ARM_MATH_SUCCESS. + */ + +arm_status arm_mat_inverse_f64( + const arm_matrix_instance_f64 * pSrc, + arm_matrix_instance_f64 * pDst) +{ + float64_t *pIn = pSrc->pData; /* input data matrix pointer */ + float64_t *pOut = pDst->pData; /* output data matrix pointer */ + float64_t *pInT1, *pInT2; /* Temporary input data matrix pointer */ + float64_t *pOutT1, *pOutT2; /* Temporary output data matrix pointer */ + float64_t *pPivotRowIn, *pPRT_in, *pPivotRowDst, *pPRT_pDst; /* Temporary input and output data matrix pointer */ + uint32_t numRows = pSrc->numRows; /* Number of rows in the matrix */ + uint32_t numCols = pSrc->numCols; /* Number of Cols in the matrix */ + +#if defined (ARM_MATH_DSP) + float64_t maxC; /* maximum value in the column */ + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + float64_t Xchg, in = 0.0f, in1; /* Temporary input values */ + uint32_t i, rowCnt, flag = 0U, j, loopCnt, k, l; /* loop counters */ + arm_status status; /* status of matrix inverse */ + +#ifdef ARM_MATH_MATRIX_CHECK + + + /* Check for matrix mismatch condition */ + if ((pSrc->numRows != pSrc->numCols) || (pDst->numRows != pDst->numCols) + || (pSrc->numRows != pDst->numRows)) + { + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else +#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ + + { + + /*-------------------------------------------------------------------------------------------------------------- + * Matrix Inverse can be solved using elementary row operations. + * + * Gauss-Jordan Method: + * + * 1. First combine the identity matrix and the input matrix separated by a bar to form an + * augmented matrix as follows: + * _ _ _ _ + * | a11 a12 | 1 0 | | X11 X12 | + * | | | = | | + * |_ a21 a22 | 0 1 _| |_ X21 X21 _| + * + * 2. In our implementation, pDst Matrix is used as identity matrix. + * + * 3. Begin with the first row. Let i = 1. + * + * 4. Check to see if the pivot for column i is the greatest of the column. + * The pivot is the element of the main diagonal that is on the current row. + * For instance, if working with row i, then the pivot element is aii. + * If the pivot is not the most significant of the columns, exchange that row with a row + * below it that does contain the most significant value in column i. If the most + * significant value of the column is zero, then an inverse to that matrix does not exist. + * The most significant value of the column is the absolute maximum. + * + * 5. Divide every element of row i by the pivot. + * + * 6. For every row below and row i, replace that row with the sum of that row and + * a multiple of row i so that each new element in column i below row i is zero. + * + * 7. Move to the next row and column and repeat steps 2 through 5 until you have zeros + * for every element below and above the main diagonal. + * + * 8. Now an identical matrix is formed to the left of the bar(input matrix, pSrc). + * Therefore, the matrix to the right of the bar is our solution(pDst matrix, pDst). + *----------------------------------------------------------------------------------------------------------------*/ + + /* Working pointer for destination matrix */ + pOutT1 = pOut; + + /* Loop over the number of rows */ + rowCnt = numRows; + + /* Making the destination matrix as identity matrix */ + while (rowCnt > 0U) + { + /* Writing all zeroes in lower triangle of the destination matrix */ + j = numRows - rowCnt; + while (j > 0U) + { + *pOutT1++ = 0.0f; + j--; + } + + /* Writing all ones in the diagonal of the destination matrix */ + *pOutT1++ = 1.0f; + + /* Writing all zeroes in upper triangle of the destination matrix */ + j = rowCnt - 1U; + while (j > 0U) + { + *pOutT1++ = 0.0f; + j--; + } + + /* Decrement the loop counter */ + rowCnt--; + } + + /* Loop over the number of columns of the input matrix. + All the elements in each column are processed by the row operations */ + loopCnt = numCols; + + /* Index modifier to navigate through the columns */ + l = 0U; + + while (loopCnt > 0U) + { + /* Check if the pivot element is zero.. + * If it is zero then interchange the row with non zero row below. + * If there is no non zero element to replace in the rows below, + * then the matrix is Singular. */ + + /* Working pointer for the input matrix that points + * to the pivot element of the particular row */ + pInT1 = pIn + (l * numCols); + + /* Working pointer for the destination matrix that points + * to the pivot element of the particular row */ + pOutT1 = pOut + (l * numCols); + + /* Temporary variable to hold the pivot value */ + in = *pInT1; + + /* Grab the most significant value from column l */ + maxC = 0; + for (i = l; i < numRows; i++) + { + maxC = *pInT1 > 0 ? (*pInT1 > maxC ? *pInT1 : maxC) : (-*pInT1 > maxC ? -*pInT1 : maxC); + pInT1 += numCols; + } + + /* Update the status if the matrix is singular */ + if (maxC == 0.0f) + { + return ARM_MATH_SINGULAR; + } + + /* Restore pInT1 */ + pInT1 = pIn; + + /* Destination pointer modifier */ + k = 1U; + + /* Check if the pivot element is the most significant of the column */ + if ( (in > 0.0f ? in : -in) != maxC) + { + /* Loop over the number rows present below */ + i = numRows - (l + 1U); + + while (i > 0U) + { + /* Update the input and destination pointers */ + pInT2 = pInT1 + (numCols * l); + pOutT2 = pOutT1 + (numCols * k); + + /* Look for the most significant element to + * replace in the rows below */ + if ((*pInT2 > 0.0f ? *pInT2: -*pInT2) == maxC) + { + /* Loop over number of columns + * to the right of the pilot element */ + j = numCols - l; + + while (j > 0U) + { + /* Exchange the row elements of the input matrix */ + Xchg = *pInT2; + *pInT2++ = *pInT1; + *pInT1++ = Xchg; + + /* Decrement the loop counter */ + j--; + } + + /* Loop over number of columns of the destination matrix */ + j = numCols; + + while (j > 0U) + { + /* Exchange the row elements of the destination matrix */ + Xchg = *pOutT2; + *pOutT2++ = *pOutT1; + *pOutT1++ = Xchg; + + /* Decrement the loop counter */ + j--; + } + + /* Flag to indicate whether exchange is done or not */ + flag = 1U; + + /* Break after exchange is done */ + break; + } + + /* Update the destination pointer modifier */ + k++; + + /* Decrement the loop counter */ + i--; + } + } + + /* Update the status if the matrix is singular */ + if ((flag != 1U) && (in == 0.0f)) + { + return ARM_MATH_SINGULAR; + } + + /* Points to the pivot row of input and destination matrices */ + pPivotRowIn = pIn + (l * numCols); + pPivotRowDst = pOut + (l * numCols); + + /* Temporary pointers to the pivot row pointers */ + pInT1 = pPivotRowIn; + pInT2 = pPivotRowDst; + + /* Pivot element of the row */ + in = *pPivotRowIn; + + /* Loop over number of columns + * to the right of the pilot element */ + j = (numCols - l); + + while (j > 0U) + { + /* Divide each element of the row of the input matrix + * by the pivot element */ + in1 = *pInT1; + *pInT1++ = in1 / in; + + /* Decrement the loop counter */ + j--; + } + + /* Loop over number of columns of the destination matrix */ + j = numCols; + + while (j > 0U) + { + /* Divide each element of the row of the destination matrix + * by the pivot element */ + in1 = *pInT2; + *pInT2++ = in1 / in; + + /* Decrement the loop counter */ + j--; + } + + /* Replace the rows with the sum of that row and a multiple of row i + * so that each new element in column i above row i is zero.*/ + + /* Temporary pointers for input and destination matrices */ + pInT1 = pIn; + pInT2 = pOut; + + /* index used to check for pivot element */ + i = 0U; + + /* Loop over number of rows */ + /* to be replaced by the sum of that row and a multiple of row i */ + k = numRows; + + while (k > 0U) + { + /* Check for the pivot element */ + if (i == l) + { + /* If the processing element is the pivot element, + only the columns to the right are to be processed */ + pInT1 += numCols - l; + + pInT2 += numCols; + } + else + { + /* Element of the reference row */ + in = *pInT1; + + /* Working pointers for input and destination pivot rows */ + pPRT_in = pPivotRowIn; + pPRT_pDst = pPivotRowDst; + + /* Loop over the number of columns to the right of the pivot element, + to replace the elements in the input matrix */ + j = (numCols - l); + + while (j > 0U) + { + /* Replace the element by the sum of that row + and a multiple of the reference row */ + in1 = *pInT1; + *pInT1++ = in1 - (in * *pPRT_in++); + + /* Decrement the loop counter */ + j--; + } + + /* Loop over the number of columns to + replace the elements in the destination matrix */ + j = numCols; + + while (j > 0U) + { + /* Replace the element by the sum of that row + and a multiple of the reference row */ + in1 = *pInT2; + *pInT2++ = in1 - (in * *pPRT_pDst++); + + /* Decrement the loop counter */ + j--; + } + + } + + /* Increment the temporary input pointer */ + pInT1 = pInT1 + l; + + /* Decrement the loop counter */ + k--; + + /* Increment the pivot index */ + i++; + } + + /* Increment the input pointer */ + pIn++; + + /* Decrement the loop counter */ + loopCnt--; + + /* Increment the index modifier */ + l++; + } + + +#else + + /* Run the below code for Cortex-M0 */ + + float64_t Xchg, in = 0.0f; /* Temporary input values */ + uint32_t i, rowCnt, flag = 0U, j, loopCnt, k, l; /* loop counters */ + arm_status status; /* status of matrix inverse */ + +#ifdef ARM_MATH_MATRIX_CHECK + + /* Check for matrix mismatch condition */ + if ((pSrc->numRows != pSrc->numCols) || (pDst->numRows != pDst->numCols) + || (pSrc->numRows != pDst->numRows)) + { + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else +#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ + { + + /*-------------------------------------------------------------------------------------------------------------- + * Matrix Inverse can be solved using elementary row operations. + * + * Gauss-Jordan Method: + * + * 1. First combine the identity matrix and the input matrix separated by a bar to form an + * augmented matrix as follows: + * _ _ _ _ _ _ _ _ + * | | a11 a12 | | | 1 0 | | | X11 X12 | + * | | | | | | | = | | + * |_ |_ a21 a22 _| | |_0 1 _| _| |_ X21 X21 _| + * + * 2. In our implementation, pDst Matrix is used as identity matrix. + * + * 3. Begin with the first row. Let i = 1. + * + * 4. Check to see if the pivot for row i is zero. + * The pivot is the element of the main diagonal that is on the current row. + * For instance, if working with row i, then the pivot element is aii. + * If the pivot is zero, exchange that row with a row below it that does not + * contain a zero in column i. If this is not possible, then an inverse + * to that matrix does not exist. + * + * 5. Divide every element of row i by the pivot. + * + * 6. For every row below and row i, replace that row with the sum of that row and + * a multiple of row i so that each new element in column i below row i is zero. + * + * 7. Move to the next row and column and repeat steps 2 through 5 until you have zeros + * for every element below and above the main diagonal. + * + * 8. Now an identical matrix is formed to the left of the bar(input matrix, src). + * Therefore, the matrix to the right of the bar is our solution(dst matrix, dst). + *----------------------------------------------------------------------------------------------------------------*/ + + /* Working pointer for destination matrix */ + pOutT1 = pOut; + + /* Loop over the number of rows */ + rowCnt = numRows; + + /* Making the destination matrix as identity matrix */ + while (rowCnt > 0U) + { + /* Writing all zeroes in lower triangle of the destination matrix */ + j = numRows - rowCnt; + while (j > 0U) + { + *pOutT1++ = 0.0f; + j--; + } + + /* Writing all ones in the diagonal of the destination matrix */ + *pOutT1++ = 1.0f; + + /* Writing all zeroes in upper triangle of the destination matrix */ + j = rowCnt - 1U; + while (j > 0U) + { + *pOutT1++ = 0.0f; + j--; + } + + /* Decrement the loop counter */ + rowCnt--; + } + + /* Loop over the number of columns of the input matrix. + All the elements in each column are processed by the row operations */ + loopCnt = numCols; + + /* Index modifier to navigate through the columns */ + l = 0U; + //for(loopCnt = 0U; loopCnt < numCols; loopCnt++) + while (loopCnt > 0U) + { + /* Check if the pivot element is zero.. + * If it is zero then interchange the row with non zero row below. + * If there is no non zero element to replace in the rows below, + * then the matrix is Singular. */ + + /* Working pointer for the input matrix that points + * to the pivot element of the particular row */ + pInT1 = pIn + (l * numCols); + + /* Working pointer for the destination matrix that points + * to the pivot element of the particular row */ + pOutT1 = pOut + (l * numCols); + + /* Temporary variable to hold the pivot value */ + in = *pInT1; + + /* Destination pointer modifier */ + k = 1U; + + /* Check if the pivot element is zero */ + if (*pInT1 == 0.0f) + { + /* Loop over the number rows present below */ + for (i = (l + 1U); i < numRows; i++) + { + /* Update the input and destination pointers */ + pInT2 = pInT1 + (numCols * l); + pOutT2 = pOutT1 + (numCols * k); + + /* Check if there is a non zero pivot element to + * replace in the rows below */ + if (*pInT2 != 0.0f) + { + /* Loop over number of columns + * to the right of the pilot element */ + for (j = 0U; j < (numCols - l); j++) + { + /* Exchange the row elements of the input matrix */ + Xchg = *pInT2; + *pInT2++ = *pInT1; + *pInT1++ = Xchg; + } + + for (j = 0U; j < numCols; j++) + { + Xchg = *pOutT2; + *pOutT2++ = *pOutT1; + *pOutT1++ = Xchg; + } + + /* Flag to indicate whether exchange is done or not */ + flag = 1U; + + /* Break after exchange is done */ + break; + } + + /* Update the destination pointer modifier */ + k++; + } + } + + /* Update the status if the matrix is singular */ + if ((flag != 1U) && (in == 0.0f)) + { + return ARM_MATH_SINGULAR; + } + + /* Points to the pivot row of input and destination matrices */ + pPivotRowIn = pIn + (l * numCols); + pPivotRowDst = pOut + (l * numCols); + + /* Temporary pointers to the pivot row pointers */ + pInT1 = pPivotRowIn; + pOutT1 = pPivotRowDst; + + /* Pivot element of the row */ + in = *(pIn + (l * numCols)); + + /* Loop over number of columns + * to the right of the pilot element */ + for (j = 0U; j < (numCols - l); j++) + { + /* Divide each element of the row of the input matrix + * by the pivot element */ + *pInT1 = *pInT1 / in; + pInT1++; + } + for (j = 0U; j < numCols; j++) + { + /* Divide each element of the row of the destination matrix + * by the pivot element */ + *pOutT1 = *pOutT1 / in; + pOutT1++; + } + + /* Replace the rows with the sum of that row and a multiple of row i + * so that each new element in column i above row i is zero.*/ + + /* Temporary pointers for input and destination matrices */ + pInT1 = pIn; + pOutT1 = pOut; + + for (i = 0U; i < numRows; i++) + { + /* Check for the pivot element */ + if (i == l) + { + /* If the processing element is the pivot element, + only the columns to the right are to be processed */ + pInT1 += numCols - l; + pOutT1 += numCols; + } + else + { + /* Element of the reference row */ + in = *pInT1; + + /* Working pointers for input and destination pivot rows */ + pPRT_in = pPivotRowIn; + pPRT_pDst = pPivotRowDst; + + /* Loop over the number of columns to the right of the pivot element, + to replace the elements in the input matrix */ + for (j = 0U; j < (numCols - l); j++) + { + /* Replace the element by the sum of that row + and a multiple of the reference row */ + *pInT1 = *pInT1 - (in * *pPRT_in++); + pInT1++; + } + /* Loop over the number of columns to + replace the elements in the destination matrix */ + for (j = 0U; j < numCols; j++) + { + /* Replace the element by the sum of that row + and a multiple of the reference row */ + *pOutT1 = *pOutT1 - (in * *pPRT_pDst++); + pOutT1++; + } + + } + /* Increment the temporary input pointer */ + pInT1 = pInT1 + l; + } + /* Increment the input pointer */ + pIn++; + + /* Decrement the loop counter */ + loopCnt--; + /* Increment the index modifier */ + l++; + } + + +#endif /* #if defined (ARM_MATH_DSP) */ + + /* Set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + + if ((flag != 1U) && (in == 0.0f)) + { + pIn = pSrc->pData; + for (i = 0; i < numRows * numCols; i++) + { + if (pIn[i] != 0.0f) + break; + } + + if (i == numRows * numCols) + status = ARM_MATH_SINGULAR; + } + } + /* Return to application */ + return (status); +} + +/** + * @} end of MatrixInv group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_f32.c b/cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_f32.c new file mode 100644 index 0000000..fa9f03f --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_f32.c @@ -0,0 +1,274 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_mat_mult_f32.c + * Description: Floating-point matrix multiplication + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupMatrix + */ + +/** + * @defgroup MatrixMult Matrix Multiplication + * + * Multiplies two matrices. + * + * \image html MatrixMultiplication.gif "Multiplication of two 3 x 3 matrices" + + * Matrix multiplication is only defined if the number of columns of the + * first matrix equals the number of rows of the second matrix. + * Multiplying an M x N matrix with an N x P matrix results + * in an M x P matrix. + * When matrix size checking is enabled, the functions check: (1) that the inner dimensions of + * pSrcA and pSrcB are equal; and (2) that the size of the output + * matrix equals the outer dimensions of pSrcA and pSrcB. + */ + + +/** + * @addtogroup MatrixMult + * @{ + */ + +/** + * @brief Floating-point matrix multiplication. + * @param[in] *pSrcA points to the first input matrix structure + * @param[in] *pSrcB points to the second input matrix structure + * @param[out] *pDst points to output matrix structure + * @return The function returns either + * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. + */ + +arm_status arm_mat_mult_f32( + const arm_matrix_instance_f32 * pSrcA, + const arm_matrix_instance_f32 * pSrcB, + arm_matrix_instance_f32 * pDst) +{ + float32_t *pIn1 = pSrcA->pData; /* input data matrix pointer A */ + float32_t *pIn2 = pSrcB->pData; /* input data matrix pointer B */ + float32_t *pInA = pSrcA->pData; /* input data matrix pointer A */ + float32_t *pOut = pDst->pData; /* output data matrix pointer */ + float32_t *px; /* Temporary output data matrix pointer */ + float32_t sum; /* Accumulator */ + uint16_t numRowsA = pSrcA->numRows; /* number of rows of input matrix A */ + uint16_t numColsB = pSrcB->numCols; /* number of columns of input matrix B */ + uint16_t numColsA = pSrcA->numCols; /* number of columns of input matrix A */ + +#if defined (ARM_MATH_DSP) + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + float32_t in1, in2, in3, in4; + uint16_t col, i = 0U, j, row = numRowsA, colCnt; /* loop counters */ + arm_status status; /* status of matrix multiplication */ + +#ifdef ARM_MATH_MATRIX_CHECK + + + /* Check for matrix mismatch condition */ + if ((pSrcA->numCols != pSrcB->numRows) || + (pSrcA->numRows != pDst->numRows) || (pSrcB->numCols != pDst->numCols)) + { + + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else +#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ + + { + /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */ + /* row loop */ + do + { + /* Output pointer is set to starting address of the row being processed */ + px = pOut + i; + + /* For every row wise process, the column loop counter is to be initiated */ + col = numColsB; + + /* For every row wise process, the pIn2 pointer is set + ** to the starting address of the pSrcB data */ + pIn2 = pSrcB->pData; + + j = 0U; + + /* column loop */ + do + { + /* Set the variable sum, that acts as accumulator, to zero */ + sum = 0.0f; + + /* Initiate the pointer pIn1 to point to the starting address of the column being processed */ + pIn1 = pInA; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + colCnt = numColsA >> 2U; + + /* matrix multiplication */ + while (colCnt > 0U) + { + /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */ + in3 = *pIn2; + pIn2 += numColsB; + in1 = pIn1[0]; + in2 = pIn1[1]; + sum += in1 * in3; + in4 = *pIn2; + pIn2 += numColsB; + sum += in2 * in4; + + in3 = *pIn2; + pIn2 += numColsB; + in1 = pIn1[2]; + in2 = pIn1[3]; + sum += in1 * in3; + in4 = *pIn2; + pIn2 += numColsB; + sum += in2 * in4; + pIn1 += 4U; + + /* Decrement the loop count */ + colCnt--; + } + + /* If the columns of pSrcA is not a multiple of 4, compute any remaining MACs here. + ** No loop unrolling is used. */ + colCnt = numColsA % 0x4U; + + while (colCnt > 0U) + { + /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */ + sum += *pIn1++ * (*pIn2); + pIn2 += numColsB; + + /* Decrement the loop counter */ + colCnt--; + } + + /* Store the result in the destination buffer */ + *px++ = sum; + + /* Update the pointer pIn2 to point to the starting address of the next column */ + j++; + pIn2 = pSrcB->pData + j; + + /* Decrement the column loop counter */ + col--; + + } while (col > 0U); + +#else + + /* Run the below code for Cortex-M0 */ + + float32_t *pInB = pSrcB->pData; /* input data matrix pointer B */ + uint16_t col, i = 0U, row = numRowsA, colCnt; /* loop counters */ + arm_status status; /* status of matrix multiplication */ + +#ifdef ARM_MATH_MATRIX_CHECK + + /* Check for matrix mismatch condition */ + if ((pSrcA->numCols != pSrcB->numRows) || + (pSrcA->numRows != pDst->numRows) || (pSrcB->numCols != pDst->numCols)) + { + + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else +#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ + + { + /* The following loop performs the dot-product of each row in pInA with each column in pInB */ + /* row loop */ + do + { + /* Output pointer is set to starting address of the row being processed */ + px = pOut + i; + + /* For every row wise process, the column loop counter is to be initiated */ + col = numColsB; + + /* For every row wise process, the pIn2 pointer is set + ** to the starting address of the pSrcB data */ + pIn2 = pSrcB->pData; + + /* column loop */ + do + { + /* Set the variable sum, that acts as accumulator, to zero */ + sum = 0.0f; + + /* Initialize the pointer pIn1 to point to the starting address of the row being processed */ + pIn1 = pInA; + + /* Matrix A columns number of MAC operations are to be performed */ + colCnt = numColsA; + + while (colCnt > 0U) + { + /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */ + sum += *pIn1++ * (*pIn2); + pIn2 += numColsB; + + /* Decrement the loop counter */ + colCnt--; + } + + /* Store the result in the destination buffer */ + *px++ = sum; + + /* Decrement the column loop counter */ + col--; + + /* Update the pointer pIn2 to point to the starting address of the next column */ + pIn2 = pInB + (numColsB - col); + + } while (col > 0U); + +#endif /* #if defined (ARM_MATH_DSP) */ + + /* Update the pointer pInA to point to the starting address of the next row */ + i = i + numColsB; + pInA = pInA + numColsA; + + /* Decrement the row loop counter */ + row--; + + } while (row > 0U); + /* Set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + } + + /* Return to application */ + return (status); +} + +/** + * @} end of MatrixMult group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_fast_q15.c b/cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_fast_q15.c new file mode 100644 index 0000000..796df88 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_fast_q15.c @@ -0,0 +1,525 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_mat_mult_fast_q15.c + * Description: Q15 matrix multiplication (fast variant) + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupMatrix + */ + +/** + * @addtogroup MatrixMult + * @{ + */ + + +/** + * @brief Q15 matrix multiplication (fast variant) for Cortex-M3 and Cortex-M4 + * @param[in] *pSrcA points to the first input matrix structure + * @param[in] *pSrcB points to the second input matrix structure + * @param[out] *pDst points to output matrix structure + * @param[in] *pState points to the array for storing intermediate results + * @return The function returns either + * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. + * + * @details + * Scaling and Overflow Behavior: + * + * \par + * The difference between the function arm_mat_mult_q15() and this fast variant is that + * the fast variant use a 32-bit rather than a 64-bit accumulator. + * The result of each 1.15 x 1.15 multiplication is truncated to + * 2.30 format. These intermediate results are accumulated in a 32-bit register in 2.30 + * format. Finally, the accumulator is saturated and converted to a 1.15 result. + * + * \par + * The fast version has the same overflow behavior as the standard version but provides + * less precision since it discards the low 16 bits of each multiplication result. + * In order to avoid overflows completely the input signals must be scaled down. + * Scale down one of the input matrices by log2(numColsA) bits to + * avoid overflows, as a total of numColsA additions are computed internally for each + * output element. + * + * \par + * See arm_mat_mult_q15() for a slower implementation of this function + * which uses 64-bit accumulation to provide higher precision. + */ + +arm_status arm_mat_mult_fast_q15( + const arm_matrix_instance_q15 * pSrcA, + const arm_matrix_instance_q15 * pSrcB, + arm_matrix_instance_q15 * pDst, + q15_t * pState) +{ + q31_t sum; /* accumulator */ + q15_t *pSrcBT = pState; /* input data matrix pointer for transpose */ + q15_t *pInA = pSrcA->pData; /* input data matrix pointer A of Q15 type */ + q15_t *pInB = pSrcB->pData; /* input data matrix pointer B of Q15 type */ + q15_t *px; /* Temporary output data matrix pointer */ + uint16_t numRowsA = pSrcA->numRows; /* number of rows of input matrix A */ + uint16_t numColsB = pSrcB->numCols; /* number of columns of input matrix B */ + uint16_t numColsA = pSrcA->numCols; /* number of columns of input matrix A */ + uint16_t numRowsB = pSrcB->numRows; /* number of rows of input matrix A */ + uint32_t col, i = 0U, row = numRowsB, colCnt; /* loop counters */ + arm_status status; /* status of matrix multiplication */ + +#ifndef UNALIGNED_SUPPORT_DISABLE + + q31_t in; /* Temporary variable to hold the input value */ + q31_t inA1, inA2, inB1, inB2; + q31_t sum2, sum3, sum4; + q15_t *pInA2, *pInB2, *px2; + uint32_t j = 0; + +#else + + q15_t in; /* Temporary variable to hold the input value */ + q15_t inA1, inA2, inB1, inB2; + +#endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */ + +#ifdef ARM_MATH_MATRIX_CHECK + /* Check for matrix mismatch condition */ + if ((pSrcA->numCols != pSrcB->numRows) || + (pSrcA->numRows != pDst->numRows) || (pSrcB->numCols != pDst->numCols)) + { + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else +#endif + { + /* Matrix transpose */ + do + { + /* Apply loop unrolling and exchange the columns with row elements */ + col = numColsB >> 2; + + /* The pointer px is set to starting address of the column being processed */ + px = pSrcBT + i; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (col > 0U) + { +#ifndef UNALIGNED_SUPPORT_DISABLE + /* Read two elements from the row */ + in = *__SIMD32(pInB)++; + + /* Unpack and store one element in the destination */ +#ifndef ARM_MATH_BIG_ENDIAN + + *px = (q15_t) in; + +#else + + *px = (q15_t) ((in & (q31_t) 0xffff0000) >> 16); + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* Update the pointer px to point to the next row of the transposed matrix */ + px += numRowsB; + + /* Unpack and store the second element in the destination */ +#ifndef ARM_MATH_BIG_ENDIAN + + *px = (q15_t) ((in & (q31_t) 0xffff0000) >> 16); + +#else + + *px = (q15_t) in; + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* Update the pointer px to point to the next row of the transposed matrix */ + px += numRowsB; + + /* Read two elements from the row */ + in = *__SIMD32(pInB)++; + + /* Unpack and store one element in the destination */ +#ifndef ARM_MATH_BIG_ENDIAN + + *px = (q15_t) in; + +#else + + *px = (q15_t) ((in & (q31_t) 0xffff0000) >> 16); + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* Update the pointer px to point to the next row of the transposed matrix */ + px += numRowsB; + + /* Unpack and store the second element in the destination */ + +#ifndef ARM_MATH_BIG_ENDIAN + + *px = (q15_t) ((in & (q31_t) 0xffff0000) >> 16); + +#else + + *px = (q15_t) in; + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + +#else + + /* Read one element from the row */ + in = *pInB++; + + /* Store one element in the destination */ + *px = in; + + /* Update the pointer px to point to the next row of the transposed matrix */ + px += numRowsB; + + /* Read one element from the row */ + in = *pInB++; + + /* Store one element in the destination */ + *px = in; + + /* Update the pointer px to point to the next row of the transposed matrix */ + px += numRowsB; + + /* Read one element from the row */ + in = *pInB++; + + /* Store one element in the destination */ + *px = in; + + /* Update the pointer px to point to the next row of the transposed matrix */ + px += numRowsB; + + /* Read one element from the row */ + in = *pInB++; + + /* Store one element in the destination */ + *px = in; + +#endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */ + + /* Update the pointer px to point to the next row of the transposed matrix */ + px += numRowsB; + + /* Decrement the column loop counter */ + col--; + } + + /* If the columns of pSrcB is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + col = numColsB % 0x4U; + + while (col > 0U) + { + /* Read and store the input element in the destination */ + *px = *pInB++; + + /* Update the pointer px to point to the next row of the transposed matrix */ + px += numRowsB; + + /* Decrement the column loop counter */ + col--; + } + + i++; + + /* Decrement the row loop counter */ + row--; + + } while (row > 0U); + + /* Reset the variables for the usage in the following multiplication process */ + row = numRowsA; + i = 0U; + px = pDst->pData; + +#ifndef UNALIGNED_SUPPORT_DISABLE + /* Process two rows from matrix A at a time and output two rows at a time */ + row = row >> 1; + px2 = px + numColsB; +#endif + + /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */ + /* row loop */ + while (row > 0U) + { + /* For every row wise process, the column loop counter is to be initiated */ + col = numColsB; + + /* For every row wise process, the pIn2 pointer is set + ** to the starting address of the transposed pSrcB data */ + pInB = pSrcBT; + +#ifndef UNALIGNED_SUPPORT_DISABLE + /* Process two (transposed) columns from matrix B at a time */ + col = col >> 1; + j = 0; +#endif + + /* column loop */ + while (col > 0U) + { + /* Set the variable sum, that acts as accumulator, to zero */ + sum = 0; + + /* Initiate the pointer pInA to point to the starting address of the column being processed */ + pInA = pSrcA->pData + i; + +#ifndef UNALIGNED_SUPPORT_DISABLE + sum2 = 0; + sum3 = 0; + sum4 = 0; + pInB = pSrcBT + j; + pInA2 = pInA + numColsA; + pInB2 = pInB + numRowsB; + + /* Read in two elements at once - alows dual MAC instruction */ + colCnt = numColsA >> 1; +#else + colCnt = numColsA >> 2; +#endif + + /* matrix multiplication */ + while (colCnt > 0U) + { + /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */ +#ifndef UNALIGNED_SUPPORT_DISABLE + + inA1 = *__SIMD32(pInA)++; + inB1 = *__SIMD32(pInB)++; + inA2 = *__SIMD32(pInA2)++; + inB2 = *__SIMD32(pInB2)++; + + sum = __SMLAD(inA1, inB1, sum); + sum2 = __SMLAD(inA1, inB2, sum2); + sum3 = __SMLAD(inA2, inB1, sum3); + sum4 = __SMLAD(inA2, inB2, sum4); + +#else + + inA1 = *pInA; + inB1 = *pInB; + sum += inA1 * inB1; + + inA2 = pInA[1]; + inB2 = pInB[1]; + sum += inA2 * inB2; + + inA1 = pInA[2]; + inB1 = pInB[2]; + sum += inA1 * inB1; + + inA2 = pInA[3]; + inB2 = pInB[3]; + sum += inA2 * inB2; + + pInA += 4; + pInB += 4; + +#endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */ + + /* Decrement the loop counter */ + colCnt--; + } + + /* process odd column samples */ +#ifndef UNALIGNED_SUPPORT_DISABLE + if (numColsA & 1U) { + inA1 = *pInA++; + inB1 = *pInB++; + inA2 = *pInA2++; + inB2 = *pInB2++; + sum += inA1 * inB1; + sum2 += inA1 * inB2; + sum3 += inA2 * inB1; + sum4 += inA2 * inB2; + } +#else + colCnt = numColsA % 0x4U; + + while (colCnt > 0U) + { + /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */ + sum += (q31_t) (*pInA++) * (*pInB++); + + colCnt--; + } +#endif + + /* Saturate and store the result in the destination buffer */ + *px++ = (q15_t) (sum >> 15); + +#ifndef UNALIGNED_SUPPORT_DISABLE + *px++ = (q15_t) (sum2 >> 15); + *px2++ = (q15_t) (sum3 >> 15); + *px2++ = (q15_t) (sum4 >> 15); + j += numRowsB * 2; +#endif + + /* Decrement the column loop counter */ + col--; + + } + + i = i + numColsA; + +#ifndef UNALIGNED_SUPPORT_DISABLE + i = i + numColsA; + px = px2 + (numColsB & 1U); + px2 = px + numColsB; +#endif + + /* Decrement the row loop counter */ + row--; + + } + + /* Compute any remaining odd row/column below */ + +#ifndef UNALIGNED_SUPPORT_DISABLE + + /* Compute remaining output column */ + if (numColsB & 1U) { + + /* Avoid redundant computation of last element */ + row = numRowsA & (~0x1); + + /* Point to remaining unfilled column in output matrix */ + px = pDst->pData+numColsB-1; + pInA = pSrcA->pData; + + /* row loop */ + while (row > 0) + { + + /* point to last column in matrix B */ + pInB = pSrcBT + numRowsB*(numColsB-1); + + /* Set the variable sum, that acts as accumulator, to zero */ + sum = 0; + + /* Compute 4 columns at once */ + colCnt = numColsA >> 2; + + /* matrix multiplication */ + while (colCnt > 0U) + { + inA1 = *__SIMD32(pInA)++; + inA2 = *__SIMD32(pInA)++; + inB1 = *__SIMD32(pInB)++; + inB2 = *__SIMD32(pInB)++; + + sum = __SMLAD(inA1, inB1, sum); + sum = __SMLAD(inA2, inB2, sum); + + /* Decrement the loop counter */ + colCnt--; + } + + colCnt = numColsA & 3U; + while (colCnt > 0U) { + sum += (q31_t) (*pInA++) * (*pInB++); + colCnt--; + } + + /* Store the result in the destination buffer */ + *px = (q15_t) (sum >> 15); + px += numColsB; + + /* Decrement the row loop counter */ + row--; + } + } + + /* Compute remaining output row */ + if (numRowsA & 1U) { + + /* point to last row in output matrix */ + px = pDst->pData+(numColsB)*(numRowsA-1); + + pInB = pSrcBT; + col = numColsB; + i = 0U; + + /* col loop */ + while (col > 0) + { + + /* point to last row in matrix A */ + pInA = pSrcA->pData + (numRowsA-1)*numColsA; + + /* Set the variable sum, that acts as accumulator, to zero */ + sum = 0; + + /* Compute 4 columns at once */ + colCnt = numColsA >> 2; + + /* matrix multiplication */ + while (colCnt > 0U) + { + inA1 = *__SIMD32(pInA)++; + inA2 = *__SIMD32(pInA)++; + inB1 = *__SIMD32(pInB)++; + inB2 = *__SIMD32(pInB)++; + + sum = __SMLAD(inA1, inB1, sum); + sum = __SMLAD(inA2, inB2, sum); + + /* Decrement the loop counter */ + colCnt--; + } + + colCnt = numColsA & 3U; + while (colCnt > 0U) { + sum += (q31_t) (*pInA++) * (*pInB++); + colCnt--; + } + + /* Store the result in the destination buffer */ + *px++ = (q15_t) (sum >> 15); + + /* Decrement the col loop counter */ + col--; + } + } + +#endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */ + + /* set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + } + + /* Return to application */ + return (status); +} + +/** + * @} end of MatrixMult group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_fast_q31.c b/cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_fast_q31.c new file mode 100644 index 0000000..bff3177 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_fast_q31.c @@ -0,0 +1,384 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_mat_mult_fast_q31.c + * Description: Q31 matrix multiplication (fast variant) + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupMatrix + */ + +/** + * @addtogroup MatrixMult + * @{ + */ + +/** + * @brief Q31 matrix multiplication (fast variant) for Cortex-M3 and Cortex-M4 + * @param[in] *pSrcA points to the first input matrix structure + * @param[in] *pSrcB points to the second input matrix structure + * @param[out] *pDst points to output matrix structure + * @return The function returns either + * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. + * + * @details + * Scaling and Overflow Behavior: + * + * \par + * The difference between the function arm_mat_mult_q31() and this fast variant is that + * the fast variant use a 32-bit rather than a 64-bit accumulator. + * The result of each 1.31 x 1.31 multiplication is truncated to + * 2.30 format. These intermediate results are accumulated in a 32-bit register in 2.30 + * format. Finally, the accumulator is saturated and converted to a 1.31 result. + * + * \par + * The fast version has the same overflow behavior as the standard version but provides + * less precision since it discards the low 32 bits of each multiplication result. + * In order to avoid overflows completely the input signals must be scaled down. + * Scale down one of the input matrices by log2(numColsA) bits to + * avoid overflows, as a total of numColsA additions are computed internally for each + * output element. + * + * \par + * See arm_mat_mult_q31() for a slower implementation of this function + * which uses 64-bit accumulation to provide higher precision. + */ + +arm_status arm_mat_mult_fast_q31( + const arm_matrix_instance_q31 * pSrcA, + const arm_matrix_instance_q31 * pSrcB, + arm_matrix_instance_q31 * pDst) +{ + q31_t *pInA = pSrcA->pData; /* input data matrix pointer A */ + q31_t *pInB = pSrcB->pData; /* input data matrix pointer B */ + q31_t *px; /* Temporary output data matrix pointer */ + q31_t sum; /* Accumulator */ + uint16_t numRowsA = pSrcA->numRows; /* number of rows of input matrix A */ + uint16_t numColsB = pSrcB->numCols; /* number of columns of input matrix B */ + uint16_t numColsA = pSrcA->numCols; /* number of columns of input matrix A */ + uint32_t col, i = 0U, j, row = numRowsA, colCnt; /* loop counters */ + arm_status status; /* status of matrix multiplication */ + q31_t inA1, inB1; + +#if defined (ARM_MATH_DSP) + + q31_t sum2, sum3, sum4; + q31_t inA2, inB2; + q31_t *pInA2; + q31_t *px2; + +#endif + +#ifdef ARM_MATH_MATRIX_CHECK + + /* Check for matrix mismatch condition */ + if ((pSrcA->numCols != pSrcB->numRows) || + (pSrcA->numRows != pDst->numRows) || (pSrcB->numCols != pDst->numCols)) + { + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else +#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ + + { + + px = pDst->pData; + +#if defined (ARM_MATH_DSP) + row = row >> 1; + px2 = px + numColsB; +#endif + + /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */ + /* row loop */ + while (row > 0U) + { + + /* For every row wise process, the column loop counter is to be initiated */ + col = numColsB; + + /* For every row wise process, the pIn2 pointer is set + ** to the starting address of the pSrcB data */ + pInB = pSrcB->pData; + + j = 0U; + +#if defined (ARM_MATH_DSP) + col = col >> 1; +#endif + + /* column loop */ + while (col > 0U) + { + /* Set the variable sum, that acts as accumulator, to zero */ + sum = 0; + + /* Initiate data pointers */ + pInA = pSrcA->pData + i; + pInB = pSrcB->pData + j; + +#if defined (ARM_MATH_DSP) + sum2 = 0; + sum3 = 0; + sum4 = 0; + pInA2 = pInA + numColsA; + colCnt = numColsA; +#else + colCnt = numColsA >> 2; +#endif + + /* matrix multiplication */ + while (colCnt > 0U) + { + +#if defined (ARM_MATH_DSP) + inA1 = *pInA++; + inB1 = pInB[0]; + inA2 = *pInA2++; + inB2 = pInB[1]; + pInB += numColsB; + + sum = __SMMLA(inA1, inB1, sum); + sum2 = __SMMLA(inA1, inB2, sum2); + sum3 = __SMMLA(inA2, inB1, sum3); + sum4 = __SMMLA(inA2, inB2, sum4); +#else + /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */ + /* Perform the multiply-accumulates */ + inB1 = *pInB; + pInB += numColsB; + inA1 = pInA[0]; + sum = __SMMLA(inA1, inB1, sum); + + inB1 = *pInB; + pInB += numColsB; + inA1 = pInA[1]; + sum = __SMMLA(inA1, inB1, sum); + + inB1 = *pInB; + pInB += numColsB; + inA1 = pInA[2]; + sum = __SMMLA(inA1, inB1, sum); + + inB1 = *pInB; + pInB += numColsB; + inA1 = pInA[3]; + sum = __SMMLA(inA1, inB1, sum); + + pInA += 4U; +#endif + + /* Decrement the loop counter */ + colCnt--; + } + +#ifdef ARM_MATH_CM0_FAMILY + /* If the columns of pSrcA is not a multiple of 4, compute any remaining output samples here. */ + colCnt = numColsA % 0x4U; + while (colCnt > 0U) + { + sum = __SMMLA(*pInA++, *pInB, sum); + pInB += numColsB; + colCnt--; + } + j++; +#endif + + /* Convert the result from 2.30 to 1.31 format and store in destination buffer */ + *px++ = sum << 1; + +#if defined (ARM_MATH_DSP) + *px++ = sum2 << 1; + *px2++ = sum3 << 1; + *px2++ = sum4 << 1; + j += 2; +#endif + + /* Decrement the column loop counter */ + col--; + + } + + i = i + numColsA; + +#if defined (ARM_MATH_DSP) + i = i + numColsA; + px = px2 + (numColsB & 1U); + px2 = px + numColsB; +#endif + + /* Decrement the row loop counter */ + row--; + + } + + /* Compute any remaining odd row/column below */ + +#if defined (ARM_MATH_DSP) + + /* Compute remaining output column */ + if (numColsB & 1U) { + + /* Avoid redundant computation of last element */ + row = numRowsA & (~0x1); + + /* Point to remaining unfilled column in output matrix */ + px = pDst->pData+numColsB-1; + pInA = pSrcA->pData; + + /* row loop */ + while (row > 0) + { + + /* point to last column in matrix B */ + pInB = pSrcB->pData + numColsB-1; + + /* Set the variable sum, that acts as accumulator, to zero */ + sum = 0; + + /* Compute 4 columns at once */ + colCnt = numColsA >> 2; + + /* matrix multiplication */ + while (colCnt > 0U) + { + inA1 = *pInA++; + inA2 = *pInA++; + inB1 = *pInB; + pInB += numColsB; + inB2 = *pInB; + pInB += numColsB; + sum = __SMMLA(inA1, inB1, sum); + sum = __SMMLA(inA2, inB2, sum); + + inA1 = *pInA++; + inA2 = *pInA++; + inB1 = *pInB; + pInB += numColsB; + inB2 = *pInB; + pInB += numColsB; + sum = __SMMLA(inA1, inB1, sum); + sum = __SMMLA(inA2, inB2, sum); + + /* Decrement the loop counter */ + colCnt--; + } + + colCnt = numColsA & 3U; + while (colCnt > 0U) { + sum = __SMMLA(*pInA++, *pInB, sum); + pInB += numColsB; + colCnt--; + } + + /* Convert the result from 2.30 to 1.31 format and store in destination buffer */ + *px = sum << 1; + px += numColsB; + + /* Decrement the row loop counter */ + row--; + } + } + + /* Compute remaining output row */ + if (numRowsA & 1U) { + + /* point to last row in output matrix */ + px = pDst->pData+(numColsB)*(numRowsA-1); + + col = numColsB; + i = 0U; + + /* col loop */ + while (col > 0) + { + + /* point to last row in matrix A */ + pInA = pSrcA->pData + (numRowsA-1)*numColsA; + pInB = pSrcB->pData + i; + + /* Set the variable sum, that acts as accumulator, to zero */ + sum = 0; + + /* Compute 4 columns at once */ + colCnt = numColsA >> 2; + + /* matrix multiplication */ + while (colCnt > 0U) + { + inA1 = *pInA++; + inA2 = *pInA++; + inB1 = *pInB; + pInB += numColsB; + inB2 = *pInB; + pInB += numColsB; + sum = __SMMLA(inA1, inB1, sum); + sum = __SMMLA(inA2, inB2, sum); + + inA1 = *pInA++; + inA2 = *pInA++; + inB1 = *pInB; + pInB += numColsB; + inB2 = *pInB; + pInB += numColsB; + sum = __SMMLA(inA1, inB1, sum); + sum = __SMMLA(inA2, inB2, sum); + + /* Decrement the loop counter */ + colCnt--; + } + + colCnt = numColsA & 3U; + while (colCnt > 0U) { + sum = __SMMLA(*pInA++, *pInB, sum); + pInB += numColsB; + colCnt--; + } + + /* Saturate and store the result in the destination buffer */ + *px++ = sum << 1; + i++; + + /* Decrement the col loop counter */ + col--; + } + } + +#endif /* #if defined (ARM_MATH_DSP) */ + + /* set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + } + + /* Return to application */ + return (status); +} + +/** + * @} end of MatrixMult group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_q15.c b/cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_q15.c new file mode 100644 index 0000000..abd55bd --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_q15.c @@ -0,0 +1,457 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_mat_mult_q15.c + * Description: Q15 matrix multiplication + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupMatrix + */ + +/** + * @addtogroup MatrixMult + * @{ + */ + + +/** + * @brief Q15 matrix multiplication + * @param[in] *pSrcA points to the first input matrix structure + * @param[in] *pSrcB points to the second input matrix structure + * @param[out] *pDst points to output matrix structure + * @param[in] *pState points to the array for storing intermediate results (Unused) + * @return The function returns either + * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. + * + * @details + * Scaling and Overflow Behavior: + * + * \par + * The function is implemented using a 64-bit internal accumulator. The inputs to the + * multiplications are in 1.15 format and multiplications yield a 2.30 result. + * The 2.30 intermediate + * results are accumulated in a 64-bit accumulator in 34.30 format. This approach + * provides 33 guard bits and there is no risk of overflow. The 34.30 result is then + * truncated to 34.15 format by discarding the low 15 bits and then saturated to + * 1.15 format. + * + * \par + * Refer to arm_mat_mult_fast_q15() for a faster but less precise version of this function for Cortex-M3 and Cortex-M4. + * + */ + +arm_status arm_mat_mult_q15( + const arm_matrix_instance_q15 * pSrcA, + const arm_matrix_instance_q15 * pSrcB, + arm_matrix_instance_q15 * pDst, + q15_t * pState) +{ + q63_t sum; /* accumulator */ + +#if defined (ARM_MATH_DSP) + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + q15_t *pSrcBT = pState; /* input data matrix pointer for transpose */ + q15_t *pInA = pSrcA->pData; /* input data matrix pointer A of Q15 type */ + q15_t *pInB = pSrcB->pData; /* input data matrix pointer B of Q15 type */ + q15_t *px; /* Temporary output data matrix pointer */ + uint16_t numRowsA = pSrcA->numRows; /* number of rows of input matrix A */ + uint16_t numColsB = pSrcB->numCols; /* number of columns of input matrix B */ + uint16_t numColsA = pSrcA->numCols; /* number of columns of input matrix A */ + uint16_t numRowsB = pSrcB->numRows; /* number of rows of input matrix A */ + uint16_t col, i = 0U, row = numRowsB, colCnt; /* loop counters */ + arm_status status; /* status of matrix multiplication */ + +#ifndef UNALIGNED_SUPPORT_DISABLE + + q31_t in; /* Temporary variable to hold the input value */ + q31_t pSourceA1, pSourceB1, pSourceA2, pSourceB2; + +#else + + q15_t in; /* Temporary variable to hold the input value */ + q15_t inA1, inB1, inA2, inB2; + +#endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */ + +#ifdef ARM_MATH_MATRIX_CHECK + /* Check for matrix mismatch condition */ + if ((pSrcA->numCols != pSrcB->numRows) || + (pSrcA->numRows != pDst->numRows) || (pSrcB->numCols != pDst->numCols)) + { + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else +#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ + { + /* Matrix transpose */ + do + { + /* Apply loop unrolling and exchange the columns with row elements */ + col = numColsB >> 2; + + /* The pointer px is set to starting address of the column being processed */ + px = pSrcBT + i; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (col > 0U) + { +#ifndef UNALIGNED_SUPPORT_DISABLE + + /* Read two elements from the row */ + in = *__SIMD32(pInB)++; + + /* Unpack and store one element in the destination */ +#ifndef ARM_MATH_BIG_ENDIAN + + *px = (q15_t) in; + +#else + + *px = (q15_t) ((in & (q31_t) 0xffff0000) >> 16); + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* Update the pointer px to point to the next row of the transposed matrix */ + px += numRowsB; + + /* Unpack and store the second element in the destination */ +#ifndef ARM_MATH_BIG_ENDIAN + + *px = (q15_t) ((in & (q31_t) 0xffff0000) >> 16); + +#else + + *px = (q15_t) in; + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* Update the pointer px to point to the next row of the transposed matrix */ + px += numRowsB; + + /* Read two elements from the row */ + in = *__SIMD32(pInB)++; + + /* Unpack and store one element in the destination */ +#ifndef ARM_MATH_BIG_ENDIAN + + *px = (q15_t) in; + +#else + + *px = (q15_t) ((in & (q31_t) 0xffff0000) >> 16); + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* Update the pointer px to point to the next row of the transposed matrix */ + px += numRowsB; + + /* Unpack and store the second element in the destination */ + +#ifndef ARM_MATH_BIG_ENDIAN + + *px = (q15_t) ((in & (q31_t) 0xffff0000) >> 16); + +#else + + *px = (q15_t) in; + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* Update the pointer px to point to the next row of the transposed matrix */ + px += numRowsB; + +#else + + /* Read one element from the row */ + in = *pInB++; + + /* Store one element in the destination */ + *px = in; + + /* Update the pointer px to point to the next row of the transposed matrix */ + px += numRowsB; + + /* Read one element from the row */ + in = *pInB++; + + /* Store one element in the destination */ + *px = in; + + /* Update the pointer px to point to the next row of the transposed matrix */ + px += numRowsB; + + /* Read one element from the row */ + in = *pInB++; + + /* Store one element in the destination */ + *px = in; + + /* Update the pointer px to point to the next row of the transposed matrix */ + px += numRowsB; + + /* Read one element from the row */ + in = *pInB++; + + /* Store one element in the destination */ + *px = in; + + /* Update the pointer px to point to the next row of the transposed matrix */ + px += numRowsB; + +#endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */ + + /* Decrement the column loop counter */ + col--; + } + + /* If the columns of pSrcB is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + col = numColsB % 0x4U; + + while (col > 0U) + { + /* Read and store the input element in the destination */ + *px = *pInB++; + + /* Update the pointer px to point to the next row of the transposed matrix */ + px += numRowsB; + + /* Decrement the column loop counter */ + col--; + } + + i++; + + /* Decrement the row loop counter */ + row--; + + } while (row > 0U); + + /* Reset the variables for the usage in the following multiplication process */ + row = numRowsA; + i = 0U; + px = pDst->pData; + + /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */ + /* row loop */ + do + { + /* For every row wise process, the column loop counter is to be initiated */ + col = numColsB; + + /* For every row wise process, the pIn2 pointer is set + ** to the starting address of the transposed pSrcB data */ + pInB = pSrcBT; + + /* column loop */ + do + { + /* Set the variable sum, that acts as accumulator, to zero */ + sum = 0; + + /* Apply loop unrolling and compute 2 MACs simultaneously. */ + colCnt = numColsA >> 2; + + /* Initiate the pointer pIn1 to point to the starting address of the column being processed */ + pInA = pSrcA->pData + i; + + + /* matrix multiplication */ + while (colCnt > 0U) + { + /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */ +#ifndef UNALIGNED_SUPPORT_DISABLE + + /* read real and imag values from pSrcA and pSrcB buffer */ + pSourceA1 = *__SIMD32(pInA)++; + pSourceB1 = *__SIMD32(pInB)++; + + pSourceA2 = *__SIMD32(pInA)++; + pSourceB2 = *__SIMD32(pInB)++; + + /* Multiply and Accumlates */ + sum = __SMLALD(pSourceA1, pSourceB1, sum); + sum = __SMLALD(pSourceA2, pSourceB2, sum); + +#else + /* read real and imag values from pSrcA and pSrcB buffer */ + inA1 = *pInA++; + inB1 = *pInB++; + inA2 = *pInA++; + /* Multiply and Accumlates */ + sum += inA1 * inB1; + inB2 = *pInB++; + + inA1 = *pInA++; + inB1 = *pInB++; + /* Multiply and Accumlates */ + sum += inA2 * inB2; + inA2 = *pInA++; + inB2 = *pInB++; + + /* Multiply and Accumlates */ + sum += inA1 * inB1; + sum += inA2 * inB2; + +#endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */ + + /* Decrement the loop counter */ + colCnt--; + } + + /* process remaining column samples */ + colCnt = numColsA & 3U; + + while (colCnt > 0U) + { + /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */ + sum += *pInA++ * *pInB++; + + /* Decrement the loop counter */ + colCnt--; + } + + /* Saturate and store the result in the destination buffer */ + *px = (q15_t) (__SSAT((sum >> 15), 16)); + px++; + + /* Decrement the column loop counter */ + col--; + + } while (col > 0U); + + i = i + numColsA; + + /* Decrement the row loop counter */ + row--; + + } while (row > 0U); + +#else + + /* Run the below code for Cortex-M0 */ + + q15_t *pIn1 = pSrcA->pData; /* input data matrix pointer A */ + q15_t *pIn2 = pSrcB->pData; /* input data matrix pointer B */ + q15_t *pInA = pSrcA->pData; /* input data matrix pointer A of Q15 type */ + q15_t *pInB = pSrcB->pData; /* input data matrix pointer B of Q15 type */ + q15_t *pOut = pDst->pData; /* output data matrix pointer */ + q15_t *px; /* Temporary output data matrix pointer */ + uint16_t numColsB = pSrcB->numCols; /* number of columns of input matrix B */ + uint16_t numColsA = pSrcA->numCols; /* number of columns of input matrix A */ + uint16_t numRowsA = pSrcA->numRows; /* number of rows of input matrix A */ + uint16_t col, i = 0U, row = numRowsA, colCnt; /* loop counters */ + arm_status status; /* status of matrix multiplication */ + +#ifdef ARM_MATH_MATRIX_CHECK + + /* Check for matrix mismatch condition */ + if ((pSrcA->numCols != pSrcB->numRows) || + (pSrcA->numRows != pDst->numRows) || (pSrcB->numCols != pDst->numCols)) + { + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else +#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ + + { + /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */ + /* row loop */ + do + { + /* Output pointer is set to starting address of the row being processed */ + px = pOut + i; + + /* For every row wise process, the column loop counter is to be initiated */ + col = numColsB; + + /* For every row wise process, the pIn2 pointer is set + ** to the starting address of the pSrcB data */ + pIn2 = pSrcB->pData; + + /* column loop */ + do + { + /* Set the variable sum, that acts as accumulator, to zero */ + sum = 0; + + /* Initiate the pointer pIn1 to point to the starting address of pSrcA */ + pIn1 = pInA; + + /* Matrix A columns number of MAC operations are to be performed */ + colCnt = numColsA; + + /* matrix multiplication */ + while (colCnt > 0U) + { + /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */ + /* Perform the multiply-accumulates */ + sum += (q31_t) * pIn1++ * *pIn2; + pIn2 += numColsB; + + /* Decrement the loop counter */ + colCnt--; + } + + /* Convert the result from 34.30 to 1.15 format and store the saturated value in destination buffer */ + /* Saturate and store the result in the destination buffer */ + *px++ = (q15_t) __SSAT((sum >> 15), 16); + + /* Decrement the column loop counter */ + col--; + + /* Update the pointer pIn2 to point to the starting address of the next column */ + pIn2 = pInB + (numColsB - col); + + } while (col > 0U); + + /* Update the pointer pSrcA to point to the starting address of the next row */ + i = i + numColsB; + pInA = pInA + numColsA; + + /* Decrement the row loop counter */ + row--; + + } while (row > 0U); + +#endif /* #if defined (ARM_MATH_DSP) */ + /* set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + } + + /* Return to application */ + return (status); +} + +/** + * @} end of MatrixMult group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_q31.c b/cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_q31.c new file mode 100644 index 0000000..2ce3637 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_q31.c @@ -0,0 +1,282 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_mat_mult_q31.c + * Description: Q31 matrix multiplication + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupMatrix + */ + +/** + * @addtogroup MatrixMult + * @{ + */ + +/** + * @brief Q31 matrix multiplication + * @param[in] *pSrcA points to the first input matrix structure + * @param[in] *pSrcB points to the second input matrix structure + * @param[out] *pDst points to output matrix structure + * @return The function returns either + * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. + * + * @details + * Scaling and Overflow Behavior: + * + * \par + * The function is implemented using an internal 64-bit accumulator. + * The accumulator has a 2.62 format and maintains full precision of the intermediate + * multiplication results but provides only a single guard bit. There is no saturation + * on intermediate additions. Thus, if the accumulator overflows it wraps around and + * distorts the result. The input signals should be scaled down to avoid intermediate + * overflows. The input is thus scaled down by log2(numColsA) bits + * to avoid overflows, as a total of numColsA additions are performed internally. + * The 2.62 accumulator is right shifted by 31 bits and saturated to 1.31 format to yield the final result. + * + * \par + * See arm_mat_mult_fast_q31() for a faster but less precise implementation of this function for Cortex-M3 and Cortex-M4. + * + */ + +arm_status arm_mat_mult_q31( + const arm_matrix_instance_q31 * pSrcA, + const arm_matrix_instance_q31 * pSrcB, + arm_matrix_instance_q31 * pDst) +{ + q31_t *pIn1 = pSrcA->pData; /* input data matrix pointer A */ + q31_t *pIn2 = pSrcB->pData; /* input data matrix pointer B */ + q31_t *pInA = pSrcA->pData; /* input data matrix pointer A */ + q31_t *pOut = pDst->pData; /* output data matrix pointer */ + q31_t *px; /* Temporary output data matrix pointer */ + q63_t sum; /* Accumulator */ + uint16_t numRowsA = pSrcA->numRows; /* number of rows of input matrix A */ + uint16_t numColsB = pSrcB->numCols; /* number of columns of input matrix B */ + uint16_t numColsA = pSrcA->numCols; /* number of columns of input matrix A */ + +#if defined (ARM_MATH_DSP) + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + uint16_t col, i = 0U, j, row = numRowsA, colCnt; /* loop counters */ + arm_status status; /* status of matrix multiplication */ + q31_t a0, a1, a2, a3, b0, b1, b2, b3; + +#ifdef ARM_MATH_MATRIX_CHECK + + + /* Check for matrix mismatch condition */ + if ((pSrcA->numCols != pSrcB->numRows) || + (pSrcA->numRows != pDst->numRows) || (pSrcB->numCols != pDst->numCols)) + { + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else +#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ + + { + /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */ + /* row loop */ + do + { + /* Output pointer is set to starting address of the row being processed */ + px = pOut + i; + + /* For every row wise process, the column loop counter is to be initiated */ + col = numColsB; + + /* For every row wise process, the pIn2 pointer is set + ** to the starting address of the pSrcB data */ + pIn2 = pSrcB->pData; + + j = 0U; + + /* column loop */ + do + { + /* Set the variable sum, that acts as accumulator, to zero */ + sum = 0; + + /* Initiate the pointer pIn1 to point to the starting address of pInA */ + pIn1 = pInA; + + /* Apply loop unrolling and compute 4 MACs simultaneously. */ + colCnt = numColsA >> 2; + + + /* matrix multiplication */ + while (colCnt > 0U) + { + /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */ + /* Perform the multiply-accumulates */ + b0 = *pIn2; + pIn2 += numColsB; + + a0 = *pIn1++; + a1 = *pIn1++; + + b1 = *pIn2; + pIn2 += numColsB; + b2 = *pIn2; + pIn2 += numColsB; + + sum += (q63_t) a0 *b0; + sum += (q63_t) a1 *b1; + + a2 = *pIn1++; + a3 = *pIn1++; + + b3 = *pIn2; + pIn2 += numColsB; + + sum += (q63_t) a2 *b2; + sum += (q63_t) a3 *b3; + + /* Decrement the loop counter */ + colCnt--; + } + + /* If the columns of pSrcA is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + colCnt = numColsA % 0x4U; + + while (colCnt > 0U) + { + /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */ + /* Perform the multiply-accumulates */ + sum += (q63_t) * pIn1++ * *pIn2; + pIn2 += numColsB; + + /* Decrement the loop counter */ + colCnt--; + } + + /* Convert the result from 2.62 to 1.31 format and store in destination buffer */ + *px++ = (q31_t) (sum >> 31); + + /* Update the pointer pIn2 to point to the starting address of the next column */ + j++; + pIn2 = (pSrcB->pData) + j; + + /* Decrement the column loop counter */ + col--; + + } while (col > 0U); + +#else + + /* Run the below code for Cortex-M0 */ + + q31_t *pInB = pSrcB->pData; /* input data matrix pointer B */ + uint16_t col, i = 0U, row = numRowsA, colCnt; /* loop counters */ + arm_status status; /* status of matrix multiplication */ + + +#ifdef ARM_MATH_MATRIX_CHECK + + /* Check for matrix mismatch condition */ + if ((pSrcA->numCols != pSrcB->numRows) || + (pSrcA->numRows != pDst->numRows) || (pSrcB->numCols != pDst->numCols)) + { + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else +#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ + + { + /* The following loop performs the dot-product of each row in pSrcA with each column in pSrcB */ + /* row loop */ + do + { + /* Output pointer is set to starting address of the row being processed */ + px = pOut + i; + + /* For every row wise process, the column loop counter is to be initiated */ + col = numColsB; + + /* For every row wise process, the pIn2 pointer is set + ** to the starting address of the pSrcB data */ + pIn2 = pSrcB->pData; + + /* column loop */ + do + { + /* Set the variable sum, that acts as accumulator, to zero */ + sum = 0; + + /* Initiate the pointer pIn1 to point to the starting address of pInA */ + pIn1 = pInA; + + /* Matrix A columns number of MAC operations are to be performed */ + colCnt = numColsA; + + /* matrix multiplication */ + while (colCnt > 0U) + { + /* c(m,n) = a(1,1)*b(1,1) + a(1,2) * b(2,1) + .... + a(m,p)*b(p,n) */ + /* Perform the multiply-accumulates */ + sum += (q63_t) * pIn1++ * *pIn2; + pIn2 += numColsB; + + /* Decrement the loop counter */ + colCnt--; + } + + /* Convert the result from 2.62 to 1.31 format and store in destination buffer */ + *px++ = (q31_t) clip_q63_to_q31(sum >> 31); + + /* Decrement the column loop counter */ + col--; + + /* Update the pointer pIn2 to point to the starting address of the next column */ + pIn2 = pInB + (numColsB - col); + + } while (col > 0U); + +#endif + + /* Update the pointer pInA to point to the starting address of the next row */ + i = i + numColsB; + pInA = pInA + numColsA; + + /* Decrement the row loop counter */ + row--; + + } while (row > 0U); + + /* set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + } + /* Return to application */ + return (status); +} + +/** + * @} end of MatrixMult group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_scale_f32.c b/cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_scale_f32.c new file mode 100644 index 0000000..3e4f5f7 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_scale_f32.c @@ -0,0 +1,169 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_mat_scale_f32.c + * Description: Multiplies a floating-point matrix by a scalar + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupMatrix + */ + +/** + * @defgroup MatrixScale Matrix Scale + * + * Multiplies a matrix by a scalar. This is accomplished by multiplying each element in the + * matrix by the scalar. For example: + * \image html MatrixScale.gif "Matrix Scaling of a 3 x 3 matrix" + * + * The function checks to make sure that the input and output matrices are of the same size. + * + * In the fixed-point Q15 and Q31 functions, scale is represented by + * a fractional multiplication scaleFract and an arithmetic shift shift. + * The shift allows the gain of the scaling operation to exceed 1.0. + * The overall scale factor applied to the fixed-point data is + *
+ *     scale = scaleFract * 2^shift.
+ * 
+ */ + +/** + * @addtogroup MatrixScale + * @{ + */ + +/** + * @brief Floating-point matrix scaling. + * @param[in] *pSrc points to input matrix structure + * @param[in] scale scale factor to be applied + * @param[out] *pDst points to output matrix structure + * @return The function returns either ARM_MATH_SIZE_MISMATCH + * or ARM_MATH_SUCCESS based on the outcome of size checking. + * + */ + +arm_status arm_mat_scale_f32( + const arm_matrix_instance_f32 * pSrc, + float32_t scale, + arm_matrix_instance_f32 * pDst) +{ + float32_t *pIn = pSrc->pData; /* input data matrix pointer */ + float32_t *pOut = pDst->pData; /* output data matrix pointer */ + uint32_t numSamples; /* total number of elements in the matrix */ + uint32_t blkCnt; /* loop counters */ + arm_status status; /* status of matrix scaling */ + +#if defined (ARM_MATH_DSP) + + float32_t in1, in2, in3, in4; /* temporary variables */ + float32_t out1, out2, out3, out4; /* temporary variables */ + +#endif // #if defined (ARM_MATH_DSP) + +#ifdef ARM_MATH_MATRIX_CHECK + /* Check for matrix mismatch condition */ + if ((pSrc->numRows != pDst->numRows) || (pSrc->numCols != pDst->numCols)) + { + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else +#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ + { + /* Total number of samples in the input matrix */ + numSamples = (uint32_t) pSrc->numRows * pSrc->numCols; + +#if defined (ARM_MATH_DSP) + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + /* Loop Unrolling */ + blkCnt = numSamples >> 2; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C(m,n) = A(m,n) * scale */ + /* Scaling and results are stored in the destination buffer. */ + in1 = pIn[0]; + in2 = pIn[1]; + in3 = pIn[2]; + in4 = pIn[3]; + + out1 = in1 * scale; + out2 = in2 * scale; + out3 = in3 * scale; + out4 = in4 * scale; + + + pOut[0] = out1; + pOut[1] = out2; + pOut[2] = out3; + pOut[3] = out4; + + /* update pointers to process next sampels */ + pIn += 4U; + pOut += 4U; + + /* Decrement the numSamples loop counter */ + blkCnt--; + } + + /* If the numSamples is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = numSamples % 0x4U; + +#else + + /* Run the below code for Cortex-M0 */ + + /* Initialize blkCnt with number of samples */ + blkCnt = numSamples; + +#endif /* #if defined (ARM_MATH_DSP) */ + + while (blkCnt > 0U) + { + /* C(m,n) = A(m,n) * scale */ + /* The results are stored in the destination buffer. */ + *pOut++ = (*pIn++) * scale; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + } + + /* Return to application */ + return (status); +} + +/** + * @} end of MatrixScale group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_scale_q15.c b/cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_scale_q15.c new file mode 100644 index 0000000..4eff925 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_scale_q15.c @@ -0,0 +1,171 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_mat_scale_q15.c + * Description: Multiplies a Q15 matrix by a scalar + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupMatrix + */ + +/** + * @addtogroup MatrixScale + * @{ + */ + +/** + * @brief Q15 matrix scaling. + * @param[in] *pSrc points to input matrix + * @param[in] scaleFract fractional portion of the scale factor + * @param[in] shift number of bits to shift the result by + * @param[out] *pDst points to output matrix structure + * @return The function returns either + * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. + * + * @details + * Scaling and Overflow Behavior: + * \par + * The input data *pSrc and scaleFract are in 1.15 format. + * These are multiplied to yield a 2.30 intermediate result and this is shifted with saturation to 1.15 format. + */ + +arm_status arm_mat_scale_q15( + const arm_matrix_instance_q15 * pSrc, + q15_t scaleFract, + int32_t shift, + arm_matrix_instance_q15 * pDst) +{ + q15_t *pIn = pSrc->pData; /* input data matrix pointer */ + q15_t *pOut = pDst->pData; /* output data matrix pointer */ + uint32_t numSamples; /* total number of elements in the matrix */ + int32_t totShift = 15 - shift; /* total shift to apply after scaling */ + uint32_t blkCnt; /* loop counters */ + arm_status status; /* status of matrix scaling */ + +#if defined (ARM_MATH_DSP) + + q15_t in1, in2, in3, in4; + q31_t out1, out2, out3, out4; + q31_t inA1, inA2; + +#endif // #if defined (ARM_MATH_DSP) + +#ifdef ARM_MATH_MATRIX_CHECK + /* Check for matrix mismatch */ + if ((pSrc->numRows != pDst->numRows) || (pSrc->numCols != pDst->numCols)) + { + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else +#endif // #ifdef ARM_MATH_MATRIX_CHECK + { + /* Total number of samples in the input matrix */ + numSamples = (uint32_t) pSrc->numRows * pSrc->numCols; + +#if defined (ARM_MATH_DSP) + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + /* Loop Unrolling */ + blkCnt = numSamples >> 2; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C(m,n) = A(m,n) * k */ + /* Scale, saturate and then store the results in the destination buffer. */ + /* Reading 2 inputs from memory */ + inA1 = _SIMD32_OFFSET(pIn); + inA2 = _SIMD32_OFFSET(pIn + 2); + + /* C = A * scale */ + /* Scale the inputs and then store the 2 results in the destination buffer + * in single cycle by packing the outputs */ + out1 = (q31_t) ((q15_t) (inA1 >> 16) * scaleFract); + out2 = (q31_t) ((q15_t) inA1 * scaleFract); + out3 = (q31_t) ((q15_t) (inA2 >> 16) * scaleFract); + out4 = (q31_t) ((q15_t) inA2 * scaleFract); + + out1 = out1 >> totShift; + inA1 = _SIMD32_OFFSET(pIn + 4); + out2 = out2 >> totShift; + inA2 = _SIMD32_OFFSET(pIn + 6); + out3 = out3 >> totShift; + out4 = out4 >> totShift; + + in1 = (q15_t) (__SSAT(out1, 16)); + in2 = (q15_t) (__SSAT(out2, 16)); + in3 = (q15_t) (__SSAT(out3, 16)); + in4 = (q15_t) (__SSAT(out4, 16)); + + _SIMD32_OFFSET(pOut) = __PKHBT(in2, in1, 16); + _SIMD32_OFFSET(pOut + 2) = __PKHBT(in4, in3, 16); + + /* update pointers to process next sampels */ + pIn += 4U; + pOut += 4U; + + + /* Decrement the numSamples loop counter */ + blkCnt--; + } + + /* If the numSamples is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = numSamples % 0x4U; + +#else + + /* Run the below code for Cortex-M0 */ + + /* Initialize blkCnt with number of samples */ + blkCnt = numSamples; + +#endif /* #if defined (ARM_MATH_DSP) */ + + while (blkCnt > 0U) + { + /* C(m,n) = A(m,n) * k */ + /* Scale, saturate and then store the results in the destination buffer. */ + *pOut++ = + (q15_t) (__SSAT(((q31_t) (*pIn++) * scaleFract) >> totShift, 16)); + + /* Decrement the numSamples loop counter */ + blkCnt--; + } + /* Set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + } + + /* Return to application */ + return (status); +} + +/** + * @} end of MatrixScale group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_scale_q31.c b/cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_scale_q31.c new file mode 100644 index 0000000..1b2b373 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_scale_q31.c @@ -0,0 +1,191 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_mat_scale_q31.c + * Description: Multiplies a Q31 matrix by a scalar + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupMatrix + */ + +/** + * @addtogroup MatrixScale + * @{ + */ + +/** + * @brief Q31 matrix scaling. + * @param[in] *pSrc points to input matrix + * @param[in] scaleFract fractional portion of the scale factor + * @param[in] shift number of bits to shift the result by + * @param[out] *pDst points to output matrix structure + * @return The function returns either + * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. + * + * @details + * Scaling and Overflow Behavior: + * \par + * The input data *pSrc and scaleFract are in 1.31 format. + * These are multiplied to yield a 2.62 intermediate result and this is shifted with saturation to 1.31 format. + */ + +arm_status arm_mat_scale_q31( + const arm_matrix_instance_q31 * pSrc, + q31_t scaleFract, + int32_t shift, + arm_matrix_instance_q31 * pDst) +{ + q31_t *pIn = pSrc->pData; /* input data matrix pointer */ + q31_t *pOut = pDst->pData; /* output data matrix pointer */ + uint32_t numSamples; /* total number of elements in the matrix */ + int32_t totShift = shift + 1; /* shift to apply after scaling */ + uint32_t blkCnt; /* loop counters */ + arm_status status; /* status of matrix scaling */ + q31_t in1, in2, out1; /* temporary variabels */ + +#if defined (ARM_MATH_DSP) + + q31_t in3, in4, out2, out3, out4; /* temporary variables */ + +#endif // #ifndef ARM_MAT_CM0 + +#ifdef ARM_MATH_MATRIX_CHECK + /* Check for matrix mismatch */ + if ((pSrc->numRows != pDst->numRows) || (pSrc->numCols != pDst->numCols)) + { + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else +#endif // #ifdef ARM_MATH_MATRIX_CHECK + { + /* Total number of samples in the input matrix */ + numSamples = (uint32_t) pSrc->numRows * pSrc->numCols; + +#if defined (ARM_MATH_DSP) + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + /* Loop Unrolling */ + blkCnt = numSamples >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C(m,n) = A(m,n) * k */ + /* Read values from input */ + in1 = *pIn; + in2 = *(pIn + 1); + in3 = *(pIn + 2); + in4 = *(pIn + 3); + + /* multiply input with scaler value */ + in1 = ((q63_t) in1 * scaleFract) >> 32; + in2 = ((q63_t) in2 * scaleFract) >> 32; + in3 = ((q63_t) in3 * scaleFract) >> 32; + in4 = ((q63_t) in4 * scaleFract) >> 32; + + /* apply shifting */ + out1 = in1 << totShift; + out2 = in2 << totShift; + + /* saturate the results. */ + if (in1 != (out1 >> totShift)) + out1 = 0x7FFFFFFF ^ (in1 >> 31); + + if (in2 != (out2 >> totShift)) + out2 = 0x7FFFFFFF ^ (in2 >> 31); + + out3 = in3 << totShift; + out4 = in4 << totShift; + + *pOut = out1; + *(pOut + 1) = out2; + + if (in3 != (out3 >> totShift)) + out3 = 0x7FFFFFFF ^ (in3 >> 31); + + if (in4 != (out4 >> totShift)) + out4 = 0x7FFFFFFF ^ (in4 >> 31); + + + *(pOut + 2) = out3; + *(pOut + 3) = out4; + + /* update pointers to process next sampels */ + pIn += 4U; + pOut += 4U; + + + /* Decrement the numSamples loop counter */ + blkCnt--; + } + + /* If the numSamples is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = numSamples % 0x4U; + +#else + + /* Run the below code for Cortex-M0 */ + + /* Initialize blkCnt with number of samples */ + blkCnt = numSamples; + +#endif /* #if defined (ARM_MATH_DSP) */ + + while (blkCnt > 0U) + { + /* C(m,n) = A(m,n) * k */ + /* Scale, saturate and then store the results in the destination buffer. */ + in1 = *pIn++; + + in2 = ((q63_t) in1 * scaleFract) >> 32; + + out1 = in2 << totShift; + + if (in2 != (out1 >> totShift)) + out1 = 0x7FFFFFFF ^ (in2 >> 31); + + *pOut++ = out1; + + /* Decrement the numSamples loop counter */ + blkCnt--; + } + + /* Set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + } + + /* Return to application */ + return (status); +} + +/** + * @} end of MatrixScale group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_sub_f32.c b/cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_sub_f32.c new file mode 100644 index 0000000..42eaadb --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_sub_f32.c @@ -0,0 +1,197 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_mat_sub_f32.c + * Description: Floating-point matrix subtraction + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupMatrix + */ + +/** + * @defgroup MatrixSub Matrix Subtraction + * + * Subtract two matrices. + * \image html MatrixSubtraction.gif "Subraction of two 3 x 3 matrices" + * + * The functions check to make sure that + * pSrcA, pSrcB, and pDst have the same + * number of rows and columns. + */ + +/** + * @addtogroup MatrixSub + * @{ + */ + +/** + * @brief Floating-point matrix subtraction + * @param[in] *pSrcA points to the first input matrix structure + * @param[in] *pSrcB points to the second input matrix structure + * @param[out] *pDst points to output matrix structure + * @return The function returns either + * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. + */ + +arm_status arm_mat_sub_f32( + const arm_matrix_instance_f32 * pSrcA, + const arm_matrix_instance_f32 * pSrcB, + arm_matrix_instance_f32 * pDst) +{ + float32_t *pIn1 = pSrcA->pData; /* input data matrix pointer A */ + float32_t *pIn2 = pSrcB->pData; /* input data matrix pointer B */ + float32_t *pOut = pDst->pData; /* output data matrix pointer */ + +#if defined (ARM_MATH_DSP) + + float32_t inA1, inA2, inB1, inB2, out1, out2; /* temporary variables */ + +#endif // #if defined (ARM_MATH_DSP) + + uint32_t numSamples; /* total number of elements in the matrix */ + uint32_t blkCnt; /* loop counters */ + arm_status status; /* status of matrix subtraction */ + +#ifdef ARM_MATH_MATRIX_CHECK + /* Check for matrix mismatch condition */ + if ((pSrcA->numRows != pSrcB->numRows) || + (pSrcA->numCols != pSrcB->numCols) || + (pSrcA->numRows != pDst->numRows) || (pSrcA->numCols != pDst->numCols)) + { + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else +#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ + { + /* Total number of samples in the input matrix */ + numSamples = (uint32_t) pSrcA->numRows * pSrcA->numCols; + +#if defined (ARM_MATH_DSP) + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + /* Loop Unrolling */ + blkCnt = numSamples >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C(m,n) = A(m,n) - B(m,n) */ + /* Subtract and then store the results in the destination buffer. */ + /* Read values from source A */ + inA1 = pIn1[0]; + + /* Read values from source B */ + inB1 = pIn2[0]; + + /* Read values from source A */ + inA2 = pIn1[1]; + + /* out = sourceA - sourceB */ + out1 = inA1 - inB1; + + /* Read values from source B */ + inB2 = pIn2[1]; + + /* Read values from source A */ + inA1 = pIn1[2]; + + /* out = sourceA - sourceB */ + out2 = inA2 - inB2; + + /* Read values from source B */ + inB1 = pIn2[2]; + + /* Store result in destination */ + pOut[0] = out1; + pOut[1] = out2; + + /* Read values from source A */ + inA2 = pIn1[3]; + + /* Read values from source B */ + inB2 = pIn2[3]; + + /* out = sourceA - sourceB */ + out1 = inA1 - inB1; + + + /* out = sourceA - sourceB */ + out2 = inA2 - inB2; + + /* Store result in destination */ + pOut[2] = out1; + + /* Store result in destination */ + pOut[3] = out2; + + + /* update pointers to process next sampels */ + pIn1 += 4U; + pIn2 += 4U; + pOut += 4U; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the numSamples is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = numSamples % 0x4U; + +#else + + /* Run the below code for Cortex-M0 */ + + /* Initialize blkCnt with number of samples */ + blkCnt = numSamples; + +#endif /* #if defined (ARM_MATH_DSP) */ + + while (blkCnt > 0U) + { + /* C(m,n) = A(m,n) - B(m,n) */ + /* Subtract and then store the results in the destination buffer. */ + *pOut++ = (*pIn1++) - (*pIn2++); + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + } + + /* Return to application */ + return (status); +} + +/** + * @} end of MatrixSub group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_sub_q15.c b/cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_sub_q15.c new file mode 100644 index 0000000..07818dc --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_sub_q15.c @@ -0,0 +1,148 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_mat_sub_q15.c + * Description: Q15 Matrix subtraction + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupMatrix + */ + +/** + * @addtogroup MatrixSub + * @{ + */ + +/** + * @brief Q15 matrix subtraction. + * @param[in] *pSrcA points to the first input matrix structure + * @param[in] *pSrcB points to the second input matrix structure + * @param[out] *pDst points to output matrix structure + * @return The function returns either + * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. + * + * Scaling and Overflow Behavior: + * \par + * The function uses saturating arithmetic. + * Results outside of the allowable Q15 range [0x8000 0x7FFF] will be saturated. + */ + +arm_status arm_mat_sub_q15( + const arm_matrix_instance_q15 * pSrcA, + const arm_matrix_instance_q15 * pSrcB, + arm_matrix_instance_q15 * pDst) +{ + q15_t *pInA = pSrcA->pData; /* input data matrix pointer A */ + q15_t *pInB = pSrcB->pData; /* input data matrix pointer B */ + q15_t *pOut = pDst->pData; /* output data matrix pointer */ + uint32_t numSamples; /* total number of elements in the matrix */ + uint32_t blkCnt; /* loop counters */ + arm_status status; /* status of matrix subtraction */ + + +#ifdef ARM_MATH_MATRIX_CHECK + + + /* Check for matrix mismatch condition */ + if ((pSrcA->numRows != pSrcB->numRows) || + (pSrcA->numCols != pSrcB->numCols) || + (pSrcA->numRows != pDst->numRows) || (pSrcA->numCols != pDst->numCols)) + { + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else +#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ + + { + /* Total number of samples in the input matrix */ + numSamples = (uint32_t) pSrcA->numRows * pSrcA->numCols; + +#if defined (ARM_MATH_DSP) + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + /* Apply loop unrolling */ + blkCnt = numSamples >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C(m,n) = A(m,n) - B(m,n) */ + /* Subtract, Saturate and then store the results in the destination buffer. */ + *__SIMD32(pOut)++ = __QSUB16(*__SIMD32(pInA)++, *__SIMD32(pInB)++); + *__SIMD32(pOut)++ = __QSUB16(*__SIMD32(pInA)++, *__SIMD32(pInB)++); + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = numSamples % 0x4U; + + while (blkCnt > 0U) + { + /* C(m,n) = A(m,n) - B(m,n) */ + /* Subtract and then store the results in the destination buffer. */ + *pOut++ = (q15_t) __QSUB16(*pInA++, *pInB++); + + /* Decrement the loop counter */ + blkCnt--; + } + +#else + + /* Run the below code for Cortex-M0 */ + + /* Initialize blkCnt with number of samples */ + blkCnt = numSamples; + + while (blkCnt > 0U) + { + /* C(m,n) = A(m,n) - B(m,n) */ + /* Subtract and then store the results in the destination buffer. */ + *pOut++ = (q15_t) __SSAT(((q31_t) * pInA++ - *pInB++), 16); + + /* Decrement the loop counter */ + blkCnt--; + } + +#endif /* #if defined (ARM_MATH_DSP) */ + + /* Set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + } + + /* Return to application */ + return (status); +} + +/** + * @} end of MatrixSub group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_sub_q31.c b/cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_sub_q31.c new file mode 100644 index 0000000..ebfd09d --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_sub_q31.c @@ -0,0 +1,196 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_mat_sub_q31.c + * Description: Q31 matrix subtraction + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupMatrix + */ + +/** + * @addtogroup MatrixSub + * @{ + */ + +/** + * @brief Q31 matrix subtraction. + * @param[in] *pSrcA points to the first input matrix structure + * @param[in] *pSrcB points to the second input matrix structure + * @param[out] *pDst points to output matrix structure + * @return The function returns either + * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking. + * + * Scaling and Overflow Behavior: + * \par + * The function uses saturating arithmetic. + * Results outside of the allowable Q31 range [0x80000000 0x7FFFFFFF] will be saturated. + */ + + +arm_status arm_mat_sub_q31( + const arm_matrix_instance_q31 * pSrcA, + const arm_matrix_instance_q31 * pSrcB, + arm_matrix_instance_q31 * pDst) +{ + q31_t *pIn1 = pSrcA->pData; /* input data matrix pointer A */ + q31_t *pIn2 = pSrcB->pData; /* input data matrix pointer B */ + q31_t *pOut = pDst->pData; /* output data matrix pointer */ + q31_t inA1, inB1; /* temporary variables */ + +#if defined (ARM_MATH_DSP) + + q31_t inA2, inB2; /* temporary variables */ + q31_t out1, out2; /* temporary variables */ + +#endif // #if defined (ARM_MATH_DSP) + + uint32_t numSamples; /* total number of elements in the matrix */ + uint32_t blkCnt; /* loop counters */ + arm_status status; /* status of matrix subtraction */ + + +#ifdef ARM_MATH_MATRIX_CHECK + /* Check for matrix mismatch condition */ + if ((pSrcA->numRows != pSrcB->numRows) || + (pSrcA->numCols != pSrcB->numCols) || + (pSrcA->numRows != pDst->numRows) || (pSrcA->numCols != pDst->numCols)) + { + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else +#endif + { + /* Total number of samples in the input matrix */ + numSamples = (uint32_t) pSrcA->numRows * pSrcA->numCols; + +#if defined (ARM_MATH_DSP) + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + /* Loop Unrolling */ + blkCnt = numSamples >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C(m,n) = A(m,n) - B(m,n) */ + /* Subtract, saturate and then store the results in the destination buffer. */ + /* Read values from source A */ + inA1 = pIn1[0]; + + /* Read values from source B */ + inB1 = pIn2[0]; + + /* Read values from source A */ + inA2 = pIn1[1]; + + /* Subtract and saturate */ + out1 = __QSUB(inA1, inB1); + + /* Read values from source B */ + inB2 = pIn2[1]; + + /* Read values from source A */ + inA1 = pIn1[2]; + + /* Subtract and saturate */ + out2 = __QSUB(inA2, inB2); + + /* Read values from source B */ + inB1 = pIn2[2]; + + /* Store result in destination */ + pOut[0] = out1; + pOut[1] = out2; + + /* Read values from source A */ + inA2 = pIn1[3]; + + /* Read values from source B */ + inB2 = pIn2[3]; + + /* Subtract and saturate */ + out1 = __QSUB(inA1, inB1); + + /* Subtract and saturate */ + out2 = __QSUB(inA2, inB2); + + /* Store result in destination */ + pOut[2] = out1; + pOut[3] = out2; + + /* update pointers to process next samples */ + pIn1 += 4U; + pIn2 += 4U; + pOut += 4U; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the numSamples is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = numSamples % 0x4U; + +#else + + /* Run the below code for Cortex-M0 */ + + /* Initialize blkCnt with number of samples */ + blkCnt = numSamples; + +#endif /* #if defined (ARM_MATH_DSP) */ + + while (blkCnt > 0U) + { + /* C(m,n) = A(m,n) - B(m,n) */ + /* Subtract, saturate and then store the results in the destination buffer. */ + inA1 = *pIn1++; + inB1 = *pIn2++; + + inA1 = __QSUB(inA1, inB1); + + *pOut++ = inA1; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + } + + /* Return to application */ + return (status); +} + +/** + * @} end of MatrixSub group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_trans_f32.c b/cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_trans_f32.c new file mode 100644 index 0000000..aaedb9d --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_trans_f32.c @@ -0,0 +1,206 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_mat_trans_f32.c + * Description: Floating-point matrix transpose + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +/** + * @defgroup MatrixTrans Matrix Transpose + * + * Tranposes a matrix. + * Transposing an M x N matrix flips it around the center diagonal and results in an N x M matrix. + * \image html MatrixTranspose.gif "Transpose of a 3 x 3 matrix" + */ + +#include "arm_math.h" + +/** + * @ingroup groupMatrix + */ + +/** + * @addtogroup MatrixTrans + * @{ + */ + +/** + * @brief Floating-point matrix transpose. + * @param[in] *pSrc points to the input matrix + * @param[out] *pDst points to the output matrix + * @return The function returns either ARM_MATH_SIZE_MISMATCH + * or ARM_MATH_SUCCESS based on the outcome of size checking. + */ + + +arm_status arm_mat_trans_f32( + const arm_matrix_instance_f32 * pSrc, + arm_matrix_instance_f32 * pDst) +{ + float32_t *pIn = pSrc->pData; /* input data matrix pointer */ + float32_t *pOut = pDst->pData; /* output data matrix pointer */ + float32_t *px; /* Temporary output data matrix pointer */ + uint16_t nRows = pSrc->numRows; /* number of rows */ + uint16_t nColumns = pSrc->numCols; /* number of columns */ + +#if defined (ARM_MATH_DSP) + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + uint16_t blkCnt, i = 0U, row = nRows; /* loop counters */ + arm_status status; /* status of matrix transpose */ + + +#ifdef ARM_MATH_MATRIX_CHECK + + + /* Check for matrix mismatch condition */ + if ((pSrc->numRows != pDst->numCols) || (pSrc->numCols != pDst->numRows)) + { + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else +#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ + + { + /* Matrix transpose by exchanging the rows with columns */ + /* row loop */ + do + { + /* Loop Unrolling */ + blkCnt = nColumns >> 2; + + /* The pointer px is set to starting address of the column being processed */ + px = pOut + i; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) /* column loop */ + { + /* Read and store the input element in the destination */ + *px = *pIn++; + + /* Update the pointer px to point to the next row of the transposed matrix */ + px += nRows; + + /* Read and store the input element in the destination */ + *px = *pIn++; + + /* Update the pointer px to point to the next row of the transposed matrix */ + px += nRows; + + /* Read and store the input element in the destination */ + *px = *pIn++; + + /* Update the pointer px to point to the next row of the transposed matrix */ + px += nRows; + + /* Read and store the input element in the destination */ + *px = *pIn++; + + /* Update the pointer px to point to the next row of the transposed matrix */ + px += nRows; + + /* Decrement the column loop counter */ + blkCnt--; + } + + /* Perform matrix transpose for last 3 samples here. */ + blkCnt = nColumns % 0x4U; + + while (blkCnt > 0U) + { + /* Read and store the input element in the destination */ + *px = *pIn++; + + /* Update the pointer px to point to the next row of the transposed matrix */ + px += nRows; + + /* Decrement the column loop counter */ + blkCnt--; + } + +#else + + /* Run the below code for Cortex-M0 */ + + uint16_t col, i = 0U, row = nRows; /* loop counters */ + arm_status status; /* status of matrix transpose */ + + +#ifdef ARM_MATH_MATRIX_CHECK + + /* Check for matrix mismatch condition */ + if ((pSrc->numRows != pDst->numCols) || (pSrc->numCols != pDst->numRows)) + { + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else +#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ + + { + /* Matrix transpose by exchanging the rows with columns */ + /* row loop */ + do + { + /* The pointer px is set to starting address of the column being processed */ + px = pOut + i; + + /* Initialize column loop counter */ + col = nColumns; + + while (col > 0U) + { + /* Read and store the input element in the destination */ + *px = *pIn++; + + /* Update the pointer px to point to the next row of the transposed matrix */ + px += nRows; + + /* Decrement the column loop counter */ + col--; + } + +#endif /* #if defined (ARM_MATH_DSP) */ + + i++; + + /* Decrement the row loop counter */ + row--; + + } while (row > 0U); /* row loop end */ + + /* Set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + } + + /* Return to application */ + return (status); +} + +/** + * @} end of MatrixTrans group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_trans_q15.c b/cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_trans_q15.c new file mode 100644 index 0000000..817210c --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_trans_q15.c @@ -0,0 +1,272 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_mat_trans_q15.c + * Description: Q15 matrix transpose + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupMatrix + */ + +/** + * @addtogroup MatrixTrans + * @{ + */ + +/* + * @brief Q15 matrix transpose. + * @param[in] *pSrc points to the input matrix + * @param[out] *pDst points to the output matrix + * @return The function returns either ARM_MATH_SIZE_MISMATCH + * or ARM_MATH_SUCCESS based on the outcome of size checking. + */ + +arm_status arm_mat_trans_q15( + const arm_matrix_instance_q15 * pSrc, + arm_matrix_instance_q15 * pDst) +{ + q15_t *pSrcA = pSrc->pData; /* input data matrix pointer */ + q15_t *pOut = pDst->pData; /* output data matrix pointer */ + uint16_t nRows = pSrc->numRows; /* number of nRows */ + uint16_t nColumns = pSrc->numCols; /* number of nColumns */ + uint16_t col, row = nRows, i = 0U; /* row and column loop counters */ + arm_status status; /* status of matrix transpose */ + +#if defined (ARM_MATH_DSP) + + /* Run the below code for Cortex-M4 and Cortex-M3 */ +#ifndef UNALIGNED_SUPPORT_DISABLE + + q31_t in; /* variable to hold temporary output */ + +#else + + q15_t in; + +#endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */ + +#ifdef ARM_MATH_MATRIX_CHECK + + + /* Check for matrix mismatch condition */ + if ((pSrc->numRows != pDst->numCols) || (pSrc->numCols != pDst->numRows)) + { + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else +#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ + + { + /* Matrix transpose by exchanging the rows with columns */ + /* row loop */ + do + { + + /* Apply loop unrolling and exchange the columns with row elements */ + col = nColumns >> 2U; + + /* The pointer pOut is set to starting address of the column being processed */ + pOut = pDst->pData + i; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (col > 0U) + { +#ifndef UNALIGNED_SUPPORT_DISABLE + + /* Read two elements from the row */ + in = *__SIMD32(pSrcA)++; + + /* Unpack and store one element in the destination */ +#ifndef ARM_MATH_BIG_ENDIAN + + *pOut = (q15_t) in; + +#else + + *pOut = (q15_t) ((in & (q31_t) 0xffff0000) >> 16); + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* Update the pointer pOut to point to the next row of the transposed matrix */ + pOut += nRows; + + /* Unpack and store the second element in the destination */ + +#ifndef ARM_MATH_BIG_ENDIAN + + *pOut = (q15_t) ((in & (q31_t) 0xffff0000) >> 16); + +#else + + *pOut = (q15_t) in; + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* Update the pointer pOut to point to the next row of the transposed matrix */ + pOut += nRows; + + /* Read two elements from the row */ +#ifndef ARM_MATH_BIG_ENDIAN + + in = *__SIMD32(pSrcA)++; + +#else + + in = *__SIMD32(pSrcA)++; + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* Unpack and store one element in the destination */ +#ifndef ARM_MATH_BIG_ENDIAN + + *pOut = (q15_t) in; + +#else + + *pOut = (q15_t) ((in & (q31_t) 0xffff0000) >> 16); + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* Update the pointer pOut to point to the next row of the transposed matrix */ + pOut += nRows; + + /* Unpack and store the second element in the destination */ +#ifndef ARM_MATH_BIG_ENDIAN + + *pOut = (q15_t) ((in & (q31_t) 0xffff0000) >> 16); + +#else + + *pOut = (q15_t) in; + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + +#else + /* Read one element from the row */ + in = *pSrcA++; + + /* Store one element in the destination */ + *pOut = in; + + /* Update the pointer px to point to the next row of the transposed matrix */ + pOut += nRows; + + /* Read one element from the row */ + in = *pSrcA++; + + /* Store one element in the destination */ + *pOut = in; + + /* Update the pointer px to point to the next row of the transposed matrix */ + pOut += nRows; + + /* Read one element from the row */ + in = *pSrcA++; + + /* Store one element in the destination */ + *pOut = in; + + /* Update the pointer px to point to the next row of the transposed matrix */ + pOut += nRows; + + /* Read one element from the row */ + in = *pSrcA++; + + /* Store one element in the destination */ + *pOut = in; + +#endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */ + + /* Update the pointer pOut to point to the next row of the transposed matrix */ + pOut += nRows; + + /* Decrement the column loop counter */ + col--; + } + + /* Perform matrix transpose for last 3 samples here. */ + col = nColumns % 0x4U; + +#else + + /* Run the below code for Cortex-M0 */ + +#ifdef ARM_MATH_MATRIX_CHECK + + /* Check for matrix mismatch condition */ + if ((pSrc->numRows != pDst->numCols) || (pSrc->numCols != pDst->numRows)) + { + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else +#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ + + { + /* Matrix transpose by exchanging the rows with columns */ + /* row loop */ + do + { + /* The pointer pOut is set to starting address of the column being processed */ + pOut = pDst->pData + i; + + /* Initialize column loop counter */ + col = nColumns; + +#endif /* #if defined (ARM_MATH_DSP) */ + + while (col > 0U) + { + /* Read and store the input element in the destination */ + *pOut = *pSrcA++; + + /* Update the pointer pOut to point to the next row of the transposed matrix */ + pOut += nRows; + + /* Decrement the column loop counter */ + col--; + } + + i++; + + /* Decrement the row loop counter */ + row--; + + } while (row > 0U); + + /* set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + } + /* Return to application */ + return (status); +} + +/** + * @} end of MatrixTrans group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_trans_q31.c b/cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_trans_q31.c new file mode 100644 index 0000000..9f94938 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_trans_q31.c @@ -0,0 +1,198 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_mat_trans_q31.c + * Description: Q31 matrix transpose + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupMatrix + */ + +/** + * @addtogroup MatrixTrans + * @{ + */ + +/* + * @brief Q31 matrix transpose. + * @param[in] *pSrc points to the input matrix + * @param[out] *pDst points to the output matrix + * @return The function returns either ARM_MATH_SIZE_MISMATCH + * or ARM_MATH_SUCCESS based on the outcome of size checking. + */ + +arm_status arm_mat_trans_q31( + const arm_matrix_instance_q31 * pSrc, + arm_matrix_instance_q31 * pDst) +{ + q31_t *pIn = pSrc->pData; /* input data matrix pointer */ + q31_t *pOut = pDst->pData; /* output data matrix pointer */ + q31_t *px; /* Temporary output data matrix pointer */ + uint16_t nRows = pSrc->numRows; /* number of nRows */ + uint16_t nColumns = pSrc->numCols; /* number of nColumns */ + +#if defined (ARM_MATH_DSP) + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + uint16_t blkCnt, i = 0U, row = nRows; /* loop counters */ + arm_status status; /* status of matrix transpose */ + + +#ifdef ARM_MATH_MATRIX_CHECK + + + /* Check for matrix mismatch condition */ + if ((pSrc->numRows != pDst->numCols) || (pSrc->numCols != pDst->numRows)) + { + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else +#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ + + { + /* Matrix transpose by exchanging the rows with columns */ + /* row loop */ + do + { + /* Apply loop unrolling and exchange the columns with row elements */ + blkCnt = nColumns >> 2U; + + /* The pointer px is set to starting address of the column being processed */ + px = pOut + i; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* Read and store the input element in the destination */ + *px = *pIn++; + + /* Update the pointer px to point to the next row of the transposed matrix */ + px += nRows; + + /* Read and store the input element in the destination */ + *px = *pIn++; + + /* Update the pointer px to point to the next row of the transposed matrix */ + px += nRows; + + /* Read and store the input element in the destination */ + *px = *pIn++; + + /* Update the pointer px to point to the next row of the transposed matrix */ + px += nRows; + + /* Read and store the input element in the destination */ + *px = *pIn++; + + /* Update the pointer px to point to the next row of the transposed matrix */ + px += nRows; + + /* Decrement the column loop counter */ + blkCnt--; + } + + /* Perform matrix transpose for last 3 samples here. */ + blkCnt = nColumns % 0x4U; + + while (blkCnt > 0U) + { + /* Read and store the input element in the destination */ + *px = *pIn++; + + /* Update the pointer px to point to the next row of the transposed matrix */ + px += nRows; + + /* Decrement the column loop counter */ + blkCnt--; + } + +#else + + /* Run the below code for Cortex-M0 */ + + uint16_t col, i = 0U, row = nRows; /* loop counters */ + arm_status status; /* status of matrix transpose */ + + +#ifdef ARM_MATH_MATRIX_CHECK + + /* Check for matrix mismatch condition */ + if ((pSrc->numRows != pDst->numCols) || (pSrc->numCols != pDst->numRows)) + { + /* Set status as ARM_MATH_SIZE_MISMATCH */ + status = ARM_MATH_SIZE_MISMATCH; + } + else +#endif /* #ifdef ARM_MATH_MATRIX_CHECK */ + + { + /* Matrix transpose by exchanging the rows with columns */ + /* row loop */ + do + { + /* The pointer px is set to starting address of the column being processed */ + px = pOut + i; + + /* Initialize column loop counter */ + col = nColumns; + + while (col > 0U) + { + /* Read and store the input element in the destination */ + *px = *pIn++; + + /* Update the pointer px to point to the next row of the transposed matrix */ + px += nRows; + + /* Decrement the column loop counter */ + col--; + } + +#endif /* #if defined (ARM_MATH_DSP) */ + + i++; + + /* Decrement the row loop counter */ + row--; + + } + while (row > 0U); /* row loop end */ + + /* set status as ARM_MATH_SUCCESS */ + status = ARM_MATH_SUCCESS; + } + + /* Return to application */ + return (status); +} + +/** + * @} end of MatrixTrans group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_max_f32.c b/cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_max_f32.c new file mode 100644 index 0000000..3a77a9f --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_max_f32.c @@ -0,0 +1,170 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_max_f32.c + * Description: Maximum value of a floating-point vector + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupStats + */ + +/** + * @defgroup Max Maximum + * + * Computes the maximum value of an array of data. + * The function returns both the maximum value and its position within the array. + * There are separate functions for floating-point, Q31, Q15, and Q7 data types. + */ + +/** + * @addtogroup Max + * @{ + */ + + +/** + * @brief Maximum value of a floating-point vector. + * @param[in] *pSrc points to the input vector + * @param[in] blockSize length of the input vector + * @param[out] *pResult maximum value returned here + * @param[out] *pIndex index of maximum value returned here + * @return none. + */ + +void arm_max_f32( + float32_t * pSrc, + uint32_t blockSize, + float32_t * pResult, + uint32_t * pIndex) +{ +#if defined (ARM_MATH_DSP) + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + float32_t maxVal1, maxVal2, out; /* Temporary variables to store the output value. */ + uint32_t blkCnt, outIndex, count; /* loop counter */ + + /* Initialise the count value. */ + count = 0U; + /* Initialise the index value to zero. */ + outIndex = 0U; + /* Load first input value that act as reference value for comparision */ + out = *pSrc++; + + /* Loop unrolling */ + blkCnt = (blockSize - 1U) >> 2U; + + while (blkCnt > 0U) + { + /* Initialize maxVal to the next consecutive values one by one */ + maxVal1 = *pSrc++; + maxVal2 = *pSrc++; + + /* compare for the maximum value */ + if (out < maxVal1) + { + /* Update the maximum value and its index */ + out = maxVal1; + outIndex = count + 1U; + } + + /* compare for the maximum value */ + if (out < maxVal2) + { + /* Update the maximum value and its index */ + out = maxVal2; + outIndex = count + 2U; + } + + /* Initialize maxVal to the next consecutive values one by one */ + maxVal1 = *pSrc++; + maxVal2 = *pSrc++; + + /* compare for the maximum value */ + if (out < maxVal1) + { + /* Update the maximum value and its index */ + out = maxVal1; + outIndex = count + 3U; + } + + /* compare for the maximum value */ + if (out < maxVal2) + { + /* Update the maximum value and its index */ + out = maxVal2; + outIndex = count + 4U; + } + + count += 4U; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* if (blockSize - 1U) is not multiple of 4 */ + blkCnt = (blockSize - 1U) % 4U; + +#else + /* Run the below code for Cortex-M0 */ + + float32_t maxVal1, out; /* Temporary variables to store the output value. */ + uint32_t blkCnt, outIndex; /* loop counter */ + + /* Initialise the index value to zero. */ + outIndex = 0U; + /* Load first input value that act as reference value for comparision */ + out = *pSrc++; + + blkCnt = (blockSize - 1U); + +#endif /* #if defined (ARM_MATH_DSP) */ + + while (blkCnt > 0U) + { + /* Initialize maxVal to the next consecutive values one by one */ + maxVal1 = *pSrc++; + + /* compare for the maximum value */ + if (out < maxVal1) + { + /* Update the maximum value and it's index */ + out = maxVal1; + outIndex = blockSize - blkCnt; + } + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Store the maximum value and it's index into destination pointers */ + *pResult = out; + *pIndex = outIndex; +} + +/** + * @} end of Max group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_max_q15.c b/cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_max_q15.c new file mode 100644 index 0000000..c2fead2 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_max_q15.c @@ -0,0 +1,162 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_max_q15.c + * Description: Maximum value of a Q15 vector + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupStats + */ + +/** + * @addtogroup Max + * @{ + */ + + +/** + * @brief Maximum value of a Q15 vector. + * @param[in] *pSrc points to the input vector + * @param[in] blockSize length of the input vector + * @param[out] *pResult maximum value returned here + * @param[out] *pIndex index of maximum value returned here + * @return none. + */ + +void arm_max_q15( + q15_t * pSrc, + uint32_t blockSize, + q15_t * pResult, + uint32_t * pIndex) +{ +#if defined (ARM_MATH_DSP) + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + q15_t maxVal1, maxVal2, out; /* Temporary variables to store the output value. */ + uint32_t blkCnt, outIndex, count; /* loop counter */ + + /* Initialise the count value. */ + count = 0U; + /* Initialise the index value to zero. */ + outIndex = 0U; + /* Load first input value that act as reference value for comparision */ + out = *pSrc++; + + /* Loop unrolling */ + blkCnt = (blockSize - 1U) >> 2U; + + while (blkCnt > 0U) + { + /* Initialize maxVal to the next consecutive values one by one */ + maxVal1 = *pSrc++; + maxVal2 = *pSrc++; + + /* compare for the maximum value */ + if (out < maxVal1) + { + /* Update the maximum value and its index */ + out = maxVal1; + outIndex = count + 1U; + } + + /* compare for the maximum value */ + if (out < maxVal2) + { + /* Update the maximum value and its index */ + out = maxVal2; + outIndex = count + 2U; + } + + /* Initialize maxVal to the next consecutive values one by one */ + maxVal1 = *pSrc++; + maxVal2 = *pSrc++; + + /* compare for the maximum value */ + if (out < maxVal1) + { + /* Update the maximum value and its index */ + out = maxVal1; + outIndex = count + 3U; + } + + /* compare for the maximum value */ + if (out < maxVal2) + { + /* Update the maximum value and its index */ + out = maxVal2; + outIndex = count + 4U; + } + + count += 4U; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* if (blockSize - 1U) is not multiple of 4 */ + blkCnt = (blockSize - 1U) % 4U; + +#else + /* Run the below code for Cortex-M0 */ + + q15_t maxVal1, out; /* Temporary variables to store the output value. */ + uint32_t blkCnt, outIndex; /* loop counter */ + + /* Initialise the index value to zero. */ + outIndex = 0U; + /* Load first input value that act as reference value for comparision */ + out = *pSrc++; + + blkCnt = (blockSize - 1U); + +#endif /* #if defined (ARM_MATH_DSP) */ + + while (blkCnt > 0U) + { + /* Initialize maxVal to the next consecutive values one by one */ + maxVal1 = *pSrc++; + + /* compare for the maximum value */ + if (out < maxVal1) + { + /* Update the maximum value and it's index */ + out = maxVal1; + outIndex = blockSize - blkCnt; + } + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Store the maximum value and it's index into destination pointers */ + *pResult = out; + *pIndex = outIndex; +} + +/** + * @} end of Max group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_max_q31.c b/cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_max_q31.c new file mode 100644 index 0000000..5e90693 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_max_q31.c @@ -0,0 +1,162 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_max_q31.c + * Description: Maximum value of a Q31 vector + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupStats + */ + +/** + * @addtogroup Max + * @{ + */ + + +/** + * @brief Maximum value of a Q31 vector. + * @param[in] *pSrc points to the input vector + * @param[in] blockSize length of the input vector + * @param[out] *pResult maximum value returned here + * @param[out] *pIndex index of maximum value returned here + * @return none. + */ + +void arm_max_q31( + q31_t * pSrc, + uint32_t blockSize, + q31_t * pResult, + uint32_t * pIndex) +{ +#if defined (ARM_MATH_DSP) + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + q31_t maxVal1, maxVal2, out; /* Temporary variables to store the output value. */ + uint32_t blkCnt, outIndex, count; /* loop counter */ + + /* Initialise the count value. */ + count = 0U; + /* Initialise the index value to zero. */ + outIndex = 0U; + /* Load first input value that act as reference value for comparision */ + out = *pSrc++; + + /* Loop unrolling */ + blkCnt = (blockSize - 1U) >> 2U; + + while (blkCnt > 0U) + { + /* Initialize maxVal to the next consecutive values one by one */ + maxVal1 = *pSrc++; + maxVal2 = *pSrc++; + + /* compare for the maximum value */ + if (out < maxVal1) + { + /* Update the maximum value and its index */ + out = maxVal1; + outIndex = count + 1U; + } + + /* compare for the maximum value */ + if (out < maxVal2) + { + /* Update the maximum value and its index */ + out = maxVal2; + outIndex = count + 2U; + } + + /* Initialize maxVal to the next consecutive values one by one */ + maxVal1 = *pSrc++; + maxVal2 = *pSrc++; + + /* compare for the maximum value */ + if (out < maxVal1) + { + /* Update the maximum value and its index */ + out = maxVal1; + outIndex = count + 3U; + } + + /* compare for the maximum value */ + if (out < maxVal2) + { + /* Update the maximum value and its index */ + out = maxVal2; + outIndex = count + 4U; + } + + count += 4U; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* if (blockSize - 1U) is not multiple of 4 */ + blkCnt = (blockSize - 1U) % 4U; + +#else + /* Run the below code for Cortex-M0 */ + + q31_t maxVal1, out; /* Temporary variables to store the output value. */ + uint32_t blkCnt, outIndex; /* loop counter */ + + /* Initialise the index value to zero. */ + outIndex = 0U; + /* Load first input value that act as reference value for comparision */ + out = *pSrc++; + + blkCnt = (blockSize - 1U); + +#endif /* #if defined (ARM_MATH_DSP) */ + + while (blkCnt > 0U) + { + /* Initialize maxVal to the next consecutive values one by one */ + maxVal1 = *pSrc++; + + /* compare for the maximum value */ + if (out < maxVal1) + { + /* Update the maximum value and it's index */ + out = maxVal1; + outIndex = blockSize - blkCnt; + } + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Store the maximum value and it's index into destination pointers */ + *pResult = out; + *pIndex = outIndex; +} + +/** + * @} end of Max group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_max_q7.c b/cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_max_q7.c new file mode 100644 index 0000000..6cd6f60 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_max_q7.c @@ -0,0 +1,162 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_max_q7.c + * Description: Maximum value of a Q7 vector + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupStats + */ + +/** + * @addtogroup Max + * @{ + */ + + +/** + * @brief Maximum value of a Q7 vector. + * @param[in] *pSrc points to the input vector + * @param[in] blockSize length of the input vector + * @param[out] *pResult maximum value returned here + * @param[out] *pIndex index of maximum value returned here + * @return none. + */ + +void arm_max_q7( + q7_t * pSrc, + uint32_t blockSize, + q7_t * pResult, + uint32_t * pIndex) +{ +#if defined (ARM_MATH_DSP) + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + q7_t maxVal1, maxVal2, out; /* Temporary variables to store the output value. */ + uint32_t blkCnt, outIndex, count; /* loop counter */ + + /* Initialise the count value. */ + count = 0U; + /* Initialise the index value to zero. */ + outIndex = 0U; + /* Load first input value that act as reference value for comparision */ + out = *pSrc++; + + /* Loop unrolling */ + blkCnt = (blockSize - 1U) >> 2U; + + while (blkCnt > 0U) + { + /* Initialize maxVal to the next consecutive values one by one */ + maxVal1 = *pSrc++; + maxVal2 = *pSrc++; + + /* compare for the maximum value */ + if (out < maxVal1) + { + /* Update the maximum value and its index */ + out = maxVal1; + outIndex = count + 1U; + } + + /* compare for the maximum value */ + if (out < maxVal2) + { + /* Update the maximum value and its index */ + out = maxVal2; + outIndex = count + 2U; + } + + /* Initialize maxVal to the next consecutive values one by one */ + maxVal1 = *pSrc++; + maxVal2 = *pSrc++; + + /* compare for the maximum value */ + if (out < maxVal1) + { + /* Update the maximum value and its index */ + out = maxVal1; + outIndex = count + 3U; + } + + /* compare for the maximum value */ + if (out < maxVal2) + { + /* Update the maximum value and its index */ + out = maxVal2; + outIndex = count + 4U; + } + + count += 4U; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* if (blockSize - 1U) is not multiple of 4 */ + blkCnt = (blockSize - 1U) % 4U; + +#else + /* Run the below code for Cortex-M0 */ + + q7_t maxVal1, out; /* Temporary variables to store the output value. */ + uint32_t blkCnt, outIndex; /* loop counter */ + + /* Initialise the index value to zero. */ + outIndex = 0U; + /* Load first input value that act as reference value for comparision */ + out = *pSrc++; + + blkCnt = (blockSize - 1U); + +#endif /* #if defined (ARM_MATH_DSP) */ + + while (blkCnt > 0U) + { + /* Initialize maxVal to the next consecutive values one by one */ + maxVal1 = *pSrc++; + + /* compare for the maximum value */ + if (out < maxVal1) + { + /* Update the maximum value and it's index */ + out = maxVal1; + outIndex = blockSize - blkCnt; + } + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Store the maximum value and it's index into destination pointers */ + *pResult = out; + *pIndex = outIndex; +} + +/** + * @} end of Max group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_mean_f32.c b/cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_mean_f32.c new file mode 100644 index 0000000..8a59188 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_mean_f32.c @@ -0,0 +1,125 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_mean_f32.c + * Description: Mean value of a floating-point vector + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupStats + */ + +/** + * @defgroup mean Mean + * + * Calculates the mean of the input vector. Mean is defined as the average of the elements in the vector. + * The underlying algorithm is used: + * + *
+ * 	Result = (pSrc[0] + pSrc[1] + pSrc[2] + ... + pSrc[blockSize-1]) / blockSize;
+ * 
+ * + * There are separate functions for floating-point, Q31, Q15, and Q7 data types. + */ + +/** + * @addtogroup mean + * @{ + */ + + +/** + * @brief Mean value of a floating-point vector. + * @param[in] *pSrc points to the input vector + * @param[in] blockSize length of the input vector + * @param[out] *pResult mean value returned here + * @return none. + */ + +void arm_mean_f32( + float32_t * pSrc, + uint32_t blockSize, + float32_t * pResult) +{ + float32_t sum = 0.0f; /* Temporary result storage */ + uint32_t blkCnt; /* loop counter */ + +#if defined (ARM_MATH_DSP) + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + float32_t in1, in2, in3, in4; + + /*loop Unrolling */ + blkCnt = blockSize >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */ + in1 = *pSrc++; + in2 = *pSrc++; + in3 = *pSrc++; + in4 = *pSrc++; + + sum += in1; + sum += in2; + sum += in3; + sum += in4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4U; + +#else + /* Run the below code for Cortex-M0 */ + + /* Loop over blockSize number of values */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_DSP) */ + + while (blkCnt > 0U) + { + /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */ + sum += *pSrc++; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) / blockSize */ + /* Store the result to the destination */ + *pResult = sum / (float32_t) blockSize; +} + +/** + * @} end of mean group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_mean_q15.c b/cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_mean_q15.c new file mode 100644 index 0000000..9ef0914 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_mean_q15.c @@ -0,0 +1,120 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_mean_q15.c + * Description: Mean value of a Q15 vector + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupStats + */ + +/** + * @addtogroup mean + * @{ + */ + + +/** + * @brief Mean value of a Q15 vector. + * @param[in] *pSrc points to the input vector + * @param[in] blockSize length of the input vector + * @param[out] *pResult mean value returned here + * @return none. + * + * @details + * Scaling and Overflow Behavior: + * \par + * The function is implemented using a 32-bit internal accumulator. + * The input is represented in 1.15 format and is accumulated in a 32-bit + * accumulator in 17.15 format. + * There is no risk of internal overflow with this approach, and the + * full precision of intermediate result is preserved. + * Finally, the accumulator is saturated and truncated to yield a result of 1.15 format. + * + */ + +void arm_mean_q15( + q15_t * pSrc, + uint32_t blockSize, + q15_t * pResult) +{ + q31_t sum = 0; /* Temporary result storage */ + uint32_t blkCnt; /* loop counter */ + +#if defined (ARM_MATH_DSP) + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + q31_t in; + + /*loop Unrolling */ + blkCnt = blockSize >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */ + in = *__SIMD32(pSrc)++; + sum += ((in << 16U) >> 16U); + sum += (in >> 16U); + in = *__SIMD32(pSrc)++; + sum += ((in << 16U) >> 16U); + sum += (in >> 16U); + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4U; + +#else + /* Run the below code for Cortex-M0 */ + + /* Loop over blockSize number of values */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_DSP) */ + + while (blkCnt > 0U) + { + /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */ + sum += *pSrc++; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) / blockSize */ + /* Store the result to the destination */ + *pResult = (q15_t) (sum / (q31_t)blockSize); +} + +/** + * @} end of mean group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_mean_q31.c b/cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_mean_q31.c new file mode 100644 index 0000000..def314a --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_mean_q31.c @@ -0,0 +1,123 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_mean_q31.c + * Description: Mean value of a Q31 vector + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupStats + */ + +/** + * @addtogroup mean + * @{ + */ + + +/** + * @brief Mean value of a Q31 vector. + * @param[in] *pSrc points to the input vector + * @param[in] blockSize length of the input vector + * @param[out] *pResult mean value returned here + * @return none. + * + * @details + * Scaling and Overflow Behavior: + *\par + * The function is implemented using a 64-bit internal accumulator. + * The input is represented in 1.31 format and is accumulated in a 64-bit + * accumulator in 33.31 format. + * There is no risk of internal overflow with this approach, and the + * full precision of intermediate result is preserved. + * Finally, the accumulator is truncated to yield a result of 1.31 format. + * + */ + +void arm_mean_q31( + q31_t * pSrc, + uint32_t blockSize, + q31_t * pResult) +{ + q63_t sum = 0; /* Temporary result storage */ + uint32_t blkCnt; /* loop counter */ + +#if defined (ARM_MATH_DSP) + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + q31_t in1, in2, in3, in4; + + /*loop Unrolling */ + blkCnt = blockSize >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */ + in1 = *pSrc++; + in2 = *pSrc++; + in3 = *pSrc++; + in4 = *pSrc++; + + sum += in1; + sum += in2; + sum += in3; + sum += in4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4U; + +#else + /* Run the below code for Cortex-M0 */ + + /* Loop over blockSize number of values */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_DSP) */ + + while (blkCnt > 0U) + { + /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */ + sum += *pSrc++; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) / blockSize */ + /* Store the result to the destination */ + *pResult = (q31_t) (sum / (int32_t) blockSize); +} + +/** + * @} end of mean group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_mean_q7.c b/cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_mean_q7.c new file mode 100644 index 0000000..ae60869 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_mean_q7.c @@ -0,0 +1,120 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_mean_q7.c + * Description: Mean value of a Q7 vector + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupStats + */ + +/** + * @addtogroup mean + * @{ + */ + + +/** + * @brief Mean value of a Q7 vector. + * @param[in] *pSrc points to the input vector + * @param[in] blockSize length of the input vector + * @param[out] *pResult mean value returned here + * @return none. + * + * @details + * Scaling and Overflow Behavior: + * \par + * The function is implemented using a 32-bit internal accumulator. + * The input is represented in 1.7 format and is accumulated in a 32-bit + * accumulator in 25.7 format. + * There is no risk of internal overflow with this approach, and the + * full precision of intermediate result is preserved. + * Finally, the accumulator is truncated to yield a result of 1.7 format. + * + */ + +void arm_mean_q7( + q7_t * pSrc, + uint32_t blockSize, + q7_t * pResult) +{ + q31_t sum = 0; /* Temporary result storage */ + uint32_t blkCnt; /* loop counter */ + +#if defined (ARM_MATH_DSP) + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + q31_t in; + + /*loop Unrolling */ + blkCnt = blockSize >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */ + in = *__SIMD32(pSrc)++; + + sum += ((in << 24U) >> 24U); + sum += ((in << 16U) >> 24U); + sum += ((in << 8U) >> 24U); + sum += (in >> 24U); + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4U; + +#else + /* Run the below code for Cortex-M0 */ + + /* Loop over blockSize number of values */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_DSP) */ + + while (blkCnt > 0U) + { + /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */ + sum += *pSrc++; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) / blockSize */ + /* Store the result to the destination */ + *pResult = (q7_t) (sum / (int32_t) blockSize); +} + +/** + * @} end of mean group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_min_f32.c b/cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_min_f32.c new file mode 100644 index 0000000..6ef11f9 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_min_f32.c @@ -0,0 +1,170 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_min_f32.c + * Description: Minimum value of a floating-point vector + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupStats + */ + +/** + * @defgroup Min Minimum + * + * Computes the minimum value of an array of data. + * The function returns both the minimum value and its position within the array. + * There are separate functions for floating-point, Q31, Q15, and Q7 data types. + */ + +/** + * @addtogroup Min + * @{ + */ + + +/** + * @brief Minimum value of a floating-point vector. + * @param[in] *pSrc points to the input vector + * @param[in] blockSize length of the input vector + * @param[out] *pResult minimum value returned here + * @param[out] *pIndex index of minimum value returned here + * @return none. + */ + +void arm_min_f32( + float32_t * pSrc, + uint32_t blockSize, + float32_t * pResult, + uint32_t * pIndex) +{ +#if defined (ARM_MATH_DSP) + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + float32_t minVal1, minVal2, out; /* Temporary variables to store the output value. */ + uint32_t blkCnt, outIndex, count; /* loop counter */ + + /* Initialise the count value. */ + count = 0U; + /* Initialise the index value to zero. */ + outIndex = 0U; + /* Load first input value that act as reference value for comparision */ + out = *pSrc++; + + /* Loop unrolling */ + blkCnt = (blockSize - 1U) >> 2U; + + while (blkCnt > 0U) + { + /* Initialize minVal to the next consecutive values one by one */ + minVal1 = *pSrc++; + minVal2 = *pSrc++; + + /* compare for the minimum value */ + if (out > minVal1) + { + /* Update the minimum value and its index */ + out = minVal1; + outIndex = count + 1U; + } + + /* compare for the minimum value */ + if (out > minVal2) + { + /* Update the minimum value and its index */ + out = minVal2; + outIndex = count + 2U; + } + + /* Initialize minVal to the next consecutive values one by one */ + minVal1 = *pSrc++; + minVal2 = *pSrc++; + + /* compare for the minimum value */ + if (out > minVal1) + { + /* Update the minimum value and its index */ + out = minVal1; + outIndex = count + 3U; + } + + /* compare for the minimum value */ + if (out > minVal2) + { + /* Update the minimum value and its index */ + out = minVal2; + outIndex = count + 4U; + } + + count += 4U; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* if (blockSize - 1U) is not multiple of 4 */ + blkCnt = (blockSize - 1U) % 4U; + +#else + /* Run the below code for Cortex-M0 */ + + float32_t minVal1, out; /* Temporary variables to store the output value. */ + uint32_t blkCnt, outIndex; /* loop counter */ + + /* Initialise the index value to zero. */ + outIndex = 0U; + /* Load first input value that act as reference value for comparision */ + out = *pSrc++; + + blkCnt = (blockSize - 1U); + +#endif /* #if defined (ARM_MATH_DSP) */ + + while (blkCnt > 0U) + { + /* Initialize minVal to the next consecutive values one by one */ + minVal1 = *pSrc++; + + /* compare for the minimum value */ + if (out > minVal1) + { + /* Update the minimum value and it's index */ + out = minVal1; + outIndex = blockSize - blkCnt; + } + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Store the minimum value and it's index into destination pointers */ + *pResult = out; + *pIndex = outIndex; +} + +/** + * @} end of Min group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_min_q15.c b/cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_min_q15.c new file mode 100644 index 0000000..aa7e424 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_min_q15.c @@ -0,0 +1,163 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_min_q15.c + * Description: Minimum value of a Q15 vector + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupStats + */ + + +/** + * @addtogroup Min + * @{ + */ + + +/** + * @brief Minimum value of a Q15 vector. + * @param[in] *pSrc points to the input vector + * @param[in] blockSize length of the input vector + * @param[out] *pResult minimum value returned here + * @param[out] *pIndex index of minimum value returned here + * @return none. + */ + +void arm_min_q15( + q15_t * pSrc, + uint32_t blockSize, + q15_t * pResult, + uint32_t * pIndex) +{ +#if defined (ARM_MATH_DSP) + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + q15_t minVal1, minVal2, out; /* Temporary variables to store the output value. */ + uint32_t blkCnt, outIndex, count; /* loop counter */ + + /* Initialise the count value. */ + count = 0U; + /* Initialise the index value to zero. */ + outIndex = 0U; + /* Load first input value that act as reference value for comparision */ + out = *pSrc++; + + /* Loop unrolling */ + blkCnt = (blockSize - 1U) >> 2U; + + while (blkCnt > 0U) + { + /* Initialize minVal to the next consecutive values one by one */ + minVal1 = *pSrc++; + minVal2 = *pSrc++; + + /* compare for the minimum value */ + if (out > minVal1) + { + /* Update the minimum value and its index */ + out = minVal1; + outIndex = count + 1U; + } + + /* compare for the minimum value */ + if (out > minVal2) + { + /* Update the minimum value and its index */ + out = minVal2; + outIndex = count + 2U; + } + + /* Initialize minVal to the next consecutive values one by one */ + minVal1 = *pSrc++; + minVal2 = *pSrc++; + + /* compare for the minimum value */ + if (out > minVal1) + { + /* Update the minimum value and its index */ + out = minVal1; + outIndex = count + 3U; + } + + /* compare for the minimum value */ + if (out > minVal2) + { + /* Update the minimum value and its index */ + out = minVal2; + outIndex = count + 4U; + } + + count += 4U; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* if (blockSize - 1U) is not multiple of 4 */ + blkCnt = (blockSize - 1U) % 4U; + +#else + /* Run the below code for Cortex-M0 */ + + q15_t minVal1, out; /* Temporary variables to store the output value. */ + uint32_t blkCnt, outIndex; /* loop counter */ + + /* Initialise the index value to zero. */ + outIndex = 0U; + /* Load first input value that act as reference value for comparision */ + out = *pSrc++; + + blkCnt = (blockSize - 1U); + +#endif /* #if defined (ARM_MATH_DSP) */ + + while (blkCnt > 0U) + { + /* Initialize minVal to the next consecutive values one by one */ + minVal1 = *pSrc++; + + /* compare for the minimum value */ + if (out > minVal1) + { + /* Update the minimum value and it's index */ + out = minVal1; + outIndex = blockSize - blkCnt; + } + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Store the minimum value and it's index into destination pointers */ + *pResult = out; + *pIndex = outIndex; +} + +/** + * @} end of Min group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_min_q31.c b/cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_min_q31.c new file mode 100644 index 0000000..57dd195 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_min_q31.c @@ -0,0 +1,163 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_min_q31.c + * Description: Minimum value of a Q31 vector + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupStats + */ + + +/** + * @addtogroup Min + * @{ + */ + + +/** + * @brief Minimum value of a Q31 vector. + * @param[in] *pSrc points to the input vector + * @param[in] blockSize length of the input vector + * @param[out] *pResult minimum value returned here + * @param[out] *pIndex index of minimum value returned here + * @return none. + */ + +void arm_min_q31( + q31_t * pSrc, + uint32_t blockSize, + q31_t * pResult, + uint32_t * pIndex) +{ +#if defined (ARM_MATH_DSP) + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + q31_t minVal1, minVal2, out; /* Temporary variables to store the output value. */ + uint32_t blkCnt, outIndex, count; /* loop counter */ + + /* Initialise the count value. */ + count = 0U; + /* Initialise the index value to zero. */ + outIndex = 0U; + /* Load first input value that act as reference value for comparision */ + out = *pSrc++; + + /* Loop unrolling */ + blkCnt = (blockSize - 1U) >> 2U; + + while (blkCnt > 0U) + { + /* Initialize minVal to the next consecutive values one by one */ + minVal1 = *pSrc++; + minVal2 = *pSrc++; + + /* compare for the minimum value */ + if (out > minVal1) + { + /* Update the minimum value and its index */ + out = minVal1; + outIndex = count + 1U; + } + + /* compare for the minimum value */ + if (out > minVal2) + { + /* Update the minimum value and its index */ + out = minVal2; + outIndex = count + 2U; + } + + /* Initialize minVal to the next consecutive values one by one */ + minVal1 = *pSrc++; + minVal2 = *pSrc++; + + /* compare for the minimum value */ + if (out > minVal1) + { + /* Update the minimum value and its index */ + out = minVal1; + outIndex = count + 3U; + } + + /* compare for the minimum value */ + if (out > minVal2) + { + /* Update the minimum value and its index */ + out = minVal2; + outIndex = count + 4U; + } + + count += 4U; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* if (blockSize - 1U) is not multiple of 4 */ + blkCnt = (blockSize - 1U) % 4U; + +#else + /* Run the below code for Cortex-M0 */ + + q31_t minVal1, out; /* Temporary variables to store the output value. */ + uint32_t blkCnt, outIndex; /* loop counter */ + + /* Initialise the index value to zero. */ + outIndex = 0U; + /* Load first input value that act as reference value for comparision */ + out = *pSrc++; + + blkCnt = (blockSize - 1U); + +#endif /* #if defined (ARM_MATH_DSP) */ + + while (blkCnt > 0U) + { + /* Initialize minVal to the next consecutive values one by one */ + minVal1 = *pSrc++; + + /* compare for the minimum value */ + if (out > minVal1) + { + /* Update the minimum value and it's index */ + out = minVal1; + outIndex = blockSize - blkCnt; + } + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Store the minimum value and it's index into destination pointers */ + *pResult = out; + *pIndex = outIndex; +} + +/** + * @} end of Min group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_min_q7.c b/cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_min_q7.c new file mode 100644 index 0000000..ac96603 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_min_q7.c @@ -0,0 +1,163 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_min_q7.c + * Description: Minimum value of a Q7 vector + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupStats + */ + + +/** + * @addtogroup Min + * @{ + */ + + +/** + * @brief Minimum value of a Q7 vector. + * @param[in] *pSrc points to the input vector + * @param[in] blockSize length of the input vector + * @param[out] *pResult minimum value returned here + * @param[out] *pIndex index of minimum value returned here + * @return none. + */ + +void arm_min_q7( + q7_t * pSrc, + uint32_t blockSize, + q7_t * pResult, + uint32_t * pIndex) +{ +#if defined (ARM_MATH_DSP) + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + q7_t minVal1, minVal2, out; /* Temporary variables to store the output value. */ + uint32_t blkCnt, outIndex, count; /* loop counter */ + + /* Initialise the count value. */ + count = 0U; + /* Initialise the index value to zero. */ + outIndex = 0U; + /* Load first input value that act as reference value for comparision */ + out = *pSrc++; + + /* Loop unrolling */ + blkCnt = (blockSize - 1U) >> 2U; + + while (blkCnt > 0U) + { + /* Initialize minVal to the next consecutive values one by one */ + minVal1 = *pSrc++; + minVal2 = *pSrc++; + + /* compare for the minimum value */ + if (out > minVal1) + { + /* Update the minimum value and its index */ + out = minVal1; + outIndex = count + 1U; + } + + /* compare for the minimum value */ + if (out > minVal2) + { + /* Update the minimum value and its index */ + out = minVal2; + outIndex = count + 2U; + } + + /* Initialize minVal to the next consecutive values one by one */ + minVal1 = *pSrc++; + minVal2 = *pSrc++; + + /* compare for the minimum value */ + if (out > minVal1) + { + /* Update the minimum value and its index */ + out = minVal1; + outIndex = count + 3U; + } + + /* compare for the minimum value */ + if (out > minVal2) + { + /* Update the minimum value and its index */ + out = minVal2; + outIndex = count + 4U; + } + + count += 4U; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* if (blockSize - 1U) is not multiple of 4 */ + blkCnt = (blockSize - 1U) % 4U; + +#else + /* Run the below code for Cortex-M0 */ + + q7_t minVal1, out; /* Temporary variables to store the output value. */ + uint32_t blkCnt, outIndex; /* loop counter */ + + /* Initialise the index value to zero. */ + outIndex = 0U; + /* Load first input value that act as reference value for comparision */ + out = *pSrc++; + + blkCnt = (blockSize - 1U); + +#endif /* #if defined (ARM_MATH_DSP) */ + + while (blkCnt > 0U) + { + /* Initialize minVal to the next consecutive values one by one */ + minVal1 = *pSrc++; + + /* compare for the minimum value */ + if (out > minVal1) + { + /* Update the minimum value and it's index */ + out = minVal1; + outIndex = blockSize - blkCnt; + } + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Store the minimum value and it's index into destination pointers */ + *pResult = out; + *pIndex = outIndex; +} + +/** + * @} end of Min group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_power_f32.c b/cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_power_f32.c new file mode 100644 index 0000000..bfe4dd3 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_power_f32.c @@ -0,0 +1,129 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_power_f32.c + * Description: Sum of the squares of the elements of a floating-point vector + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupStats + */ + +/** + * @defgroup power Power + * + * Calculates the sum of the squares of the elements in the input vector. + * The underlying algorithm is used: + * + *
+ * 	Result = pSrc[0] * pSrc[0] + pSrc[1] * pSrc[1] + pSrc[2] * pSrc[2] + ... + pSrc[blockSize-1] * pSrc[blockSize-1];
+ * 
+ * + * There are separate functions for floating point, Q31, Q15, and Q7 data types. + */ + +/** + * @addtogroup power + * @{ + */ + + +/** + * @brief Sum of the squares of the elements of a floating-point vector. + * @param[in] *pSrc points to the input vector + * @param[in] blockSize length of the input vector + * @param[out] *pResult sum of the squares value returned here + * @return none. + * + */ + + +void arm_power_f32( + float32_t * pSrc, + uint32_t blockSize, + float32_t * pResult) +{ + float32_t sum = 0.0f; /* accumulator */ + float32_t in; /* Temporary variable to store input value */ + uint32_t blkCnt; /* loop counter */ + +#if defined (ARM_MATH_DSP) + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + /*loop Unrolling */ + blkCnt = blockSize >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */ + /* Compute Power and then store the result in a temporary variable, sum. */ + in = *pSrc++; + sum += in * in; + in = *pSrc++; + sum += in * in; + in = *pSrc++; + sum += in * in; + in = *pSrc++; + sum += in * in; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4U; + + +#else + /* Run the below code for Cortex-M0 */ + + /* Loop over blockSize number of values */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_DSP) */ + + + while (blkCnt > 0U) + { + /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */ + /* compute power and then store the result in a temporary variable, sum. */ + in = *pSrc++; + sum += in * in; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Store the result to the destination */ + *pResult = sum; +} + +/** + * @} end of power group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_power_q15.c b/cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_power_q15.c new file mode 100644 index 0000000..fbe73d1 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_power_q15.c @@ -0,0 +1,138 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_power_q15.c + * Description: Sum of the squares of the elements of a Q15 vector + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupStats + */ + +/** + * @addtogroup power + * @{ + */ + +/** + * @brief Sum of the squares of the elements of a Q15 vector. + * @param[in] *pSrc points to the input vector + * @param[in] blockSize length of the input vector + * @param[out] *pResult sum of the squares value returned here + * @return none. + * + * @details + * Scaling and Overflow Behavior: + * + * \par + * The function is implemented using a 64-bit internal accumulator. + * The input is represented in 1.15 format. + * Intermediate multiplication yields a 2.30 format, and this + * result is added without saturation to a 64-bit accumulator in 34.30 format. + * With 33 guard bits in the accumulator, there is no risk of overflow, and the + * full precision of the intermediate multiplication is preserved. + * Finally, the return result is in 34.30 format. + * + */ + +void arm_power_q15( + q15_t * pSrc, + uint32_t blockSize, + q63_t * pResult) +{ + q63_t sum = 0; /* Temporary result storage */ + +#if defined (ARM_MATH_DSP) + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + q31_t in32; /* Temporary variable to store input value */ + q15_t in16; /* Temporary variable to store input value */ + uint32_t blkCnt; /* loop counter */ + + + /* loop Unrolling */ + blkCnt = blockSize >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */ + /* Compute Power and then store the result in a temporary variable, sum. */ + in32 = *__SIMD32(pSrc)++; + sum = __SMLALD(in32, in32, sum); + in32 = *__SIMD32(pSrc)++; + sum = __SMLALD(in32, in32, sum); + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4U; + + while (blkCnt > 0U) + { + /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */ + /* Compute Power and then store the result in a temporary variable, sum. */ + in16 = *pSrc++; + sum = __SMLALD(in16, in16, sum); + + /* Decrement the loop counter */ + blkCnt--; + } + +#else + /* Run the below code for Cortex-M0 */ + + q15_t in; /* Temporary variable to store input value */ + uint32_t blkCnt; /* loop counter */ + + + /* Loop over blockSize number of values */ + blkCnt = blockSize; + + while (blkCnt > 0U) + { + /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */ + /* Compute Power and then store the result in a temporary variable, sum. */ + in = *pSrc++; + sum += ((q31_t) in * in); + + /* Decrement the loop counter */ + blkCnt--; + } + +#endif /* #if defined (ARM_MATH_DSP) */ + + /* Store the results in 34.30 format */ + *pResult = sum; +} + +/** + * @} end of power group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_power_q31.c b/cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_power_q31.c new file mode 100644 index 0000000..498face --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_power_q31.c @@ -0,0 +1,129 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_power_q31.c + * Description: Sum of the squares of the elements of a Q31 vector + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupStats + */ + +/** + * @addtogroup power + * @{ + */ + +/** + * @brief Sum of the squares of the elements of a Q31 vector. + * @param[in] *pSrc points to the input vector + * @param[in] blockSize length of the input vector + * @param[out] *pResult sum of the squares value returned here + * @return none. + * + * @details + * Scaling and Overflow Behavior: + * + * \par + * The function is implemented using a 64-bit internal accumulator. + * The input is represented in 1.31 format. + * Intermediate multiplication yields a 2.62 format, and this + * result is truncated to 2.48 format by discarding the lower 14 bits. + * The 2.48 result is then added without saturation to a 64-bit accumulator in 16.48 format. + * With 15 guard bits in the accumulator, there is no risk of overflow, and the + * full precision of the intermediate multiplication is preserved. + * Finally, the return result is in 16.48 format. + * + */ + +void arm_power_q31( + q31_t * pSrc, + uint32_t blockSize, + q63_t * pResult) +{ + q63_t sum = 0; /* Temporary result storage */ + q31_t in; + uint32_t blkCnt; /* loop counter */ + + +#if defined (ARM_MATH_DSP) + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + /*loop Unrolling */ + blkCnt = blockSize >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */ + /* Compute Power then shift intermediate results by 14 bits to maintain 16.48 format and then store the result in a temporary variable sum, providing 15 guard bits. */ + in = *pSrc++; + sum += ((q63_t) in * in) >> 14U; + + in = *pSrc++; + sum += ((q63_t) in * in) >> 14U; + + in = *pSrc++; + sum += ((q63_t) in * in) >> 14U; + + in = *pSrc++; + sum += ((q63_t) in * in) >> 14U; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4U; + +#else + /* Run the below code for Cortex-M0 */ + + /* Loop over blockSize number of values */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_DSP) */ + + while (blkCnt > 0U) + { + /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */ + /* Compute Power and then store the result in a temporary variable, sum. */ + in = *pSrc++; + sum += ((q63_t) in * in) >> 14U; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Store the results in 16.48 format */ + *pResult = sum; +} + +/** + * @} end of power group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_power_q7.c b/cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_power_q7.c new file mode 100644 index 0000000..3b8335a --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_power_q7.c @@ -0,0 +1,127 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_power_q7.c + * Description: Sum of the squares of the elements of a Q7 vector + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupStats + */ + +/** + * @addtogroup power + * @{ + */ + +/** + * @brief Sum of the squares of the elements of a Q7 vector. + * @param[in] *pSrc points to the input vector + * @param[in] blockSize length of the input vector + * @param[out] *pResult sum of the squares value returned here + * @return none. + * + * @details + * Scaling and Overflow Behavior: + * + * \par + * The function is implemented using a 32-bit internal accumulator. + * The input is represented in 1.7 format. + * Intermediate multiplication yields a 2.14 format, and this + * result is added without saturation to an accumulator in 18.14 format. + * With 17 guard bits in the accumulator, there is no risk of overflow, and the + * full precision of the intermediate multiplication is preserved. + * Finally, the return result is in 18.14 format. + * + */ + +void arm_power_q7( + q7_t * pSrc, + uint32_t blockSize, + q31_t * pResult) +{ + q31_t sum = 0; /* Temporary result storage */ + q7_t in; /* Temporary variable to store input */ + uint32_t blkCnt; /* loop counter */ + +#if defined (ARM_MATH_DSP) + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + q31_t input1; /* Temporary variable to store packed input */ + q31_t in1, in2; /* Temporary variables to store input */ + + /*loop Unrolling */ + blkCnt = blockSize >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* Reading two inputs of pSrc vector and packing */ + input1 = *__SIMD32(pSrc)++; + + in1 = __SXTB16(__ROR(input1, 8)); + in2 = __SXTB16(input1); + + /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */ + /* calculate power and accumulate to accumulator */ + sum = __SMLAD(in1, in1, sum); + sum = __SMLAD(in2, in2, sum); + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4U; + +#else + /* Run the below code for Cortex-M0 */ + + /* Loop over blockSize number of values */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_DSP) */ + + while (blkCnt > 0U) + { + /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */ + /* Compute Power and then store the result in a temporary variable, sum. */ + in = *pSrc++; + sum += ((q15_t) in * in); + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Store the result in 18.14 format */ + *pResult = sum; +} + +/** + * @} end of power group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_rms_f32.c b/cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_rms_f32.c new file mode 100644 index 0000000..3089d40 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_rms_f32.c @@ -0,0 +1,127 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_rms_f32.c + * Description: Root mean square value of an array of F32 type + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupStats + */ + +/** + * @defgroup RMS Root mean square (RMS) + * + * + * Calculates the Root Mean Sqaure of the elements in the input vector. + * The underlying algorithm is used: + * + *
+ * 	Result = sqrt(((pSrc[0] * pSrc[0] + pSrc[1] * pSrc[1] + ... + pSrc[blockSize-1] * pSrc[blockSize-1]) / blockSize));
+ * 
+ * + * There are separate functions for floating point, Q31, and Q15 data types. + */ + +/** + * @addtogroup RMS + * @{ + */ + + +/** + * @brief Root Mean Square of the elements of a floating-point vector. + * @param[in] *pSrc points to the input vector + * @param[in] blockSize length of the input vector + * @param[out] *pResult rms value returned here + * @return none. + * + */ + +void arm_rms_f32( + float32_t * pSrc, + uint32_t blockSize, + float32_t * pResult) +{ + float32_t sum = 0.0f; /* Accumulator */ + float32_t in; /* Tempoprary variable to store input value */ + uint32_t blkCnt; /* loop counter */ + +#if defined (ARM_MATH_DSP) + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + /* loop Unrolling */ + blkCnt = blockSize >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */ + /* Compute sum of the squares and then store the result in a temporary variable, sum */ + in = *pSrc++; + sum += in * in; + in = *pSrc++; + sum += in * in; + in = *pSrc++; + sum += in * in; + in = *pSrc++; + sum += in * in; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4U; + +#else + /* Run the below code for Cortex-M0 */ + + /* Loop over blockSize number of values */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_DSP) */ + + while (blkCnt > 0U) + { + /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */ + /* Compute sum of the squares and then store the results in a temporary variable, sum */ + in = *pSrc++; + sum += in * in; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Compute Rms and store the result in the destination */ + arm_sqrt_f32(sum / (float32_t) blockSize, pResult); +} + +/** + * @} end of RMS group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_rms_q15.c b/cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_rms_q15.c new file mode 100644 index 0000000..7cc2e12 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_rms_q15.c @@ -0,0 +1,139 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_rms_q15.c + * Description: Root Mean Square of the elements of a Q15 vector + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @addtogroup RMS + * @{ + */ + +/** + * @brief Root Mean Square of the elements of a Q15 vector. + * @param[in] *pSrc points to the input vector + * @param[in] blockSize length of the input vector + * @param[out] *pResult rms value returned here + * @return none. + * + * @details + * Scaling and Overflow Behavior: + * + * \par + * The function is implemented using a 64-bit internal accumulator. + * The input is represented in 1.15 format. + * Intermediate multiplication yields a 2.30 format, and this + * result is added without saturation to a 64-bit accumulator in 34.30 format. + * With 33 guard bits in the accumulator, there is no risk of overflow, and the + * full precision of the intermediate multiplication is preserved. + * Finally, the 34.30 result is truncated to 34.15 format by discarding the lower + * 15 bits, and then saturated to yield a result in 1.15 format. + * + */ + +void arm_rms_q15( + q15_t * pSrc, + uint32_t blockSize, + q15_t * pResult) +{ + q63_t sum = 0; /* accumulator */ + +#if defined (ARM_MATH_DSP) + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + q31_t in; /* temporary variable to store the input value */ + q15_t in1; /* temporary variable to store the input value */ + uint32_t blkCnt; /* loop counter */ + + /* loop Unrolling */ + blkCnt = blockSize >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */ + /* Compute sum of the squares and then store the results in a temporary variable, sum */ + in = *__SIMD32(pSrc)++; + sum = __SMLALD(in, in, sum); + in = *__SIMD32(pSrc)++; + sum = __SMLALD(in, in, sum); + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4U; + + while (blkCnt > 0U) + { + /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */ + /* Compute sum of the squares and then store the results in a temporary variable, sum */ + in1 = *pSrc++; + sum = __SMLALD(in1, in1, sum); + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Truncating and saturating the accumulator to 1.15 format */ + /* Store the result in the destination */ + arm_sqrt_q15(__SSAT((sum / (q63_t)blockSize) >> 15, 16), pResult); + +#else + /* Run the below code for Cortex-M0 */ + + q15_t in; /* temporary variable to store the input value */ + uint32_t blkCnt; /* loop counter */ + + /* Loop over blockSize number of values */ + blkCnt = blockSize; + + while (blkCnt > 0U) + { + /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */ + /* Compute sum of the squares and then store the results in a temporary variable, sum */ + in = *pSrc++; + sum += ((q31_t) in * in); + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Truncating and saturating the accumulator to 1.15 format */ + /* Store the result in the destination */ + arm_sqrt_q15(__SSAT((sum / (q63_t)blockSize) >> 15, 16), pResult); + +#endif /* #if defined (ARM_MATH_DSP) */ + +} + +/** + * @} end of RMS group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_rms_q31.c b/cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_rms_q31.c new file mode 100644 index 0000000..7cb9149 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_rms_q31.c @@ -0,0 +1,137 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_rms_q31.c + * Description: Root Mean Square of the elements of a Q31 vector + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @addtogroup RMS + * @{ + */ + + +/** + * @brief Root Mean Square of the elements of a Q31 vector. + * @param[in] *pSrc points to the input vector + * @param[in] blockSize length of the input vector + * @param[out] *pResult rms value returned here + * @return none. + * + * @details + * Scaling and Overflow Behavior: + * + *\par + * The function is implemented using an internal 64-bit accumulator. + * The input is represented in 1.31 format, and intermediate multiplication + * yields a 2.62 format. + * The accumulator maintains full precision of the intermediate multiplication results, + * but provides only a single guard bit. + * There is no saturation on intermediate additions. + * If the accumulator overflows, it wraps around and distorts the result. + * In order to avoid overflows completely, the input signal must be scaled down by + * log2(blockSize) bits, as a total of blockSize additions are performed internally. + * Finally, the 2.62 accumulator is right shifted by 31 bits to yield a 1.31 format value. + * + */ + +void arm_rms_q31( + q31_t * pSrc, + uint32_t blockSize, + q31_t * pResult) +{ + q63_t sum = 0; /* accumulator */ + q31_t in; /* Temporary variable to store the input */ + uint32_t blkCnt; /* loop counter */ + +#if defined (ARM_MATH_DSP) + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + q31_t in1, in2, in3, in4; /* Temporary input variables */ + + /*loop Unrolling */ + blkCnt = blockSize >> 2U; + + /* First part of the processing with loop unrolling. Compute 8 outputs at a time. + ** a second loop below computes the remaining 1 to 7 samples. */ + while (blkCnt > 0U) + { + /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */ + /* Compute sum of the squares and then store the result in a temporary variable, sum */ + /* read two samples from source buffer */ + in1 = pSrc[0]; + in2 = pSrc[1]; + + /* calculate power and accumulate to accumulator */ + sum += (q63_t) in1 *in1; + sum += (q63_t) in2 *in2; + + /* read two samples from source buffer */ + in3 = pSrc[2]; + in4 = pSrc[3]; + + /* calculate power and accumulate to accumulator */ + sum += (q63_t) in3 *in3; + sum += (q63_t) in4 *in4; + + + /* update source buffer to process next samples */ + pSrc += 4U; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 8, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4U; + +#else + /* Run the below code for Cortex-M0 */ + + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_DSP) */ + + while (blkCnt > 0U) + { + /* C = A[0] * A[0] + A[1] * A[1] + A[2] * A[2] + ... + A[blockSize-1] * A[blockSize-1] */ + /* Compute sum of the squares and then store the results in a temporary variable, sum */ + in = *pSrc++; + sum += (q63_t) in *in; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Convert data in 2.62 to 1.31 by 31 right shifts and saturate */ + /* Compute Rms and store the result in the destination vector */ + arm_sqrt_q31(clip_q63_to_q31((sum / (q63_t) blockSize) >> 31), pResult); +} + +/** + * @} end of RMS group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_std_f32.c b/cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_std_f32.c new file mode 100644 index 0000000..e082fc6 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_std_f32.c @@ -0,0 +1,186 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_std_f32.c + * Description: Standard deviation of the elements of a floating-point vector + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupStats + */ + +/** + * @defgroup STD Standard deviation + * + * Calculates the standard deviation of the elements in the input vector. + * The underlying algorithm is used: + * + *
+ *   Result = sqrt((sumOfSquares - sum2 / blockSize) / (blockSize - 1))
+ *
+ *     where, sumOfSquares = pSrc[0] * pSrc[0] + pSrc[1] * pSrc[1] + ... + pSrc[blockSize-1] * pSrc[blockSize-1]
+ *
+ *                     sum = pSrc[0] + pSrc[1] + pSrc[2] + ... + pSrc[blockSize-1]
+ * 
+ * + * There are separate functions for floating point, Q31, and Q15 data types. + */ + +/** + * @addtogroup STD + * @{ + */ + + +/** + * @brief Standard deviation of the elements of a floating-point vector. + * @param[in] *pSrc points to the input vector + * @param[in] blockSize length of the input vector + * @param[out] *pResult standard deviation value returned here + * @return none. + */ + +void arm_std_f32( + float32_t * pSrc, + uint32_t blockSize, + float32_t * pResult) +{ + float32_t sum = 0.0f; /* Temporary result storage */ + float32_t sumOfSquares = 0.0f; /* Sum of squares */ + float32_t in; /* input value */ + uint32_t blkCnt; /* loop counter */ +#if defined (ARM_MATH_DSP) + float32_t meanOfSquares, mean, squareOfMean; /* Temporary variables */ +#else + float32_t squareOfSum; /* Square of Sum */ + float32_t var; /* Temporary varaince storage */ +#endif + + if (blockSize == 1U) + { + *pResult = 0; + return; + } + +#if defined (ARM_MATH_DSP) + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + /*loop Unrolling */ + blkCnt = blockSize >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */ + /* Compute Sum of squares of the input samples + * and then store the result in a temporary variable, sum. */ + in = *pSrc++; + sum += in; + sumOfSquares += in * in; + in = *pSrc++; + sum += in; + sumOfSquares += in * in; + in = *pSrc++; + sum += in; + sumOfSquares += in * in; + in = *pSrc++; + sum += in; + sumOfSquares += in * in; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4U; + + while (blkCnt > 0U) + { + /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */ + /* Compute Sum of squares of the input samples + * and then store the result in a temporary variable, sum. */ + in = *pSrc++; + sum += in; + sumOfSquares += in * in; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Compute Mean of squares of the input samples + * and then store the result in a temporary variable, meanOfSquares. */ + meanOfSquares = sumOfSquares / ((float32_t) blockSize - 1.0f); + + /* Compute mean of all input values */ + mean = sum / (float32_t) blockSize; + + /* Compute square of mean */ + squareOfMean = (mean * mean) * (((float32_t) blockSize) / + ((float32_t) blockSize - 1.0f)); + + /* Compute standard deviation and then store the result to the destination */ + arm_sqrt_f32((meanOfSquares - squareOfMean), pResult); + +#else + /* Run the below code for Cortex-M0 */ + + /* Loop over blockSize number of values */ + blkCnt = blockSize; + + while (blkCnt > 0U) + { + /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */ + /* Compute Sum of squares of the input samples + * and then store the result in a temporary variable, sumOfSquares. */ + in = *pSrc++; + sumOfSquares += in * in; + + /* C = (A[0] + A[1] + ... + A[blockSize-1]) */ + /* Compute Sum of the input samples + * and then store the result in a temporary variable, sum. */ + sum += in; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Compute the square of sum */ + squareOfSum = ((sum * sum) / (float32_t) blockSize); + + /* Compute the variance */ + var = ((sumOfSquares - squareOfSum) / (float32_t) (blockSize - 1.0f)); + + /* Compute standard deviation and then store the result to the destination */ + arm_sqrt_f32(var, pResult); + +#endif /* #if defined (ARM_MATH_DSP) */ +} + +/** + * @} end of STD group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_std_q15.c b/cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_std_q15.c new file mode 100644 index 0000000..e3626d8 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_std_q15.c @@ -0,0 +1,174 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_std_q15.c + * Description: Standard deviation of an array of Q15 vector + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupStats + */ + +/** + * @addtogroup STD + * @{ + */ + +/** + * @brief Standard deviation of the elements of a Q15 vector. + * @param[in] *pSrc points to the input vector + * @param[in] blockSize length of the input vector + * @param[out] *pResult standard deviation value returned here + * @return none. + * @details + * Scaling and Overflow Behavior: + * + * \par + * The function is implemented using a 64-bit internal accumulator. + * The input is represented in 1.15 format. + * Intermediate multiplication yields a 2.30 format, and this + * result is added without saturation to a 64-bit accumulator in 34.30 format. + * With 33 guard bits in the accumulator, there is no risk of overflow, and the + * full precision of the intermediate multiplication is preserved. + * Finally, the 34.30 result is truncated to 34.15 format by discarding the lower + * 15 bits, and then saturated to yield a result in 1.15 format. + */ + +void arm_std_q15( + q15_t * pSrc, + uint32_t blockSize, + q15_t * pResult) +{ + q31_t sum = 0; /* Accumulator */ + q31_t meanOfSquares, squareOfMean; /* square of mean and mean of square */ + uint32_t blkCnt; /* loop counter */ + q63_t sumOfSquares = 0; /* Accumulator */ +#if defined (ARM_MATH_DSP) + q31_t in; /* input value */ + q15_t in1; /* input value */ +#else + q15_t in; /* input value */ +#endif + + if (blockSize == 1U) + { + *pResult = 0; + return; + } + +#if defined (ARM_MATH_DSP) + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + /*loop Unrolling */ + blkCnt = blockSize >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */ + /* Compute Sum of squares of the input samples + * and then store the result in a temporary variable, sum. */ + in = *__SIMD32(pSrc)++; + sum += ((in << 16U) >> 16U); + sum += (in >> 16U); + sumOfSquares = __SMLALD(in, in, sumOfSquares); + in = *__SIMD32(pSrc)++; + sum += ((in << 16U) >> 16U); + sum += (in >> 16U); + sumOfSquares = __SMLALD(in, in, sumOfSquares); + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4U; + + while (blkCnt > 0U) + { + /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */ + /* Compute Sum of squares of the input samples + * and then store the result in a temporary variable, sum. */ + in1 = *pSrc++; + sumOfSquares = __SMLALD(in1, in1, sumOfSquares); + sum += in1; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Compute Mean of squares of the input samples + * and then store the result in a temporary variable, meanOfSquares. */ + meanOfSquares = (q31_t)(sumOfSquares / (q63_t)(blockSize - 1U)); + + /* Compute square of mean */ + squareOfMean = (q31_t)((q63_t)sum * sum / (q63_t)(blockSize * (blockSize - 1U))); + + /* mean of the squares minus the square of the mean. */ + /* Compute standard deviation and store the result to the destination */ + arm_sqrt_q15(__SSAT((meanOfSquares - squareOfMean) >> 15U, 16U), pResult); + +#else + /* Run the below code for Cortex-M0 */ + + /* Loop over blockSize number of values */ + blkCnt = blockSize; + + while (blkCnt > 0U) + { + /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */ + /* Compute Sum of squares of the input samples + * and then store the result in a temporary variable, sumOfSquares. */ + in = *pSrc++; + sumOfSquares += (in * in); + + /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */ + /* Compute sum of all input values and then store the result in a temporary variable, sum. */ + sum += in; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Compute Mean of squares of the input samples + * and then store the result in a temporary variable, meanOfSquares. */ + meanOfSquares = (q31_t)(sumOfSquares / (q63_t)(blockSize - 1U)); + + /* Compute square of mean */ + squareOfMean = (q31_t)((q63_t)sum * sum / (q63_t)(blockSize * (blockSize - 1U))); + + /* mean of the squares minus the square of the mean. */ + /* Compute standard deviation and store the result to the destination */ + arm_sqrt_q15(__SSAT((meanOfSquares - squareOfMean) >> 15U, 16U), pResult); + +#endif /* #if defined (ARM_MATH_DSP) */ +} + +/** + * @} end of STD group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_std_q31.c b/cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_std_q31.c new file mode 100644 index 0000000..806a90e --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_std_q31.c @@ -0,0 +1,169 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_std_q31.c + * Description: Standard deviation of an array of Q31 type. + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupStats + */ + +/** + * @addtogroup STD + * @{ + */ + +/** + * @brief Standard deviation of the elements of a Q31 vector. + * @param[in] *pSrc points to the input vector + * @param[in] blockSize length of the input vector + * @param[out] *pResult standard deviation value returned here + * @return none. + * @details + * Scaling and Overflow Behavior: + * + *\par + * The function is implemented using an internal 64-bit accumulator. + * The input is represented in 1.31 format, which is then downshifted by 8 bits + * which yields 1.23, and intermediate multiplication yields a 2.46 format. + * The accumulator maintains full precision of the intermediate multiplication results, + * but provides only a 16 guard bits. + * There is no saturation on intermediate additions. + * If the accumulator overflows it wraps around and distorts the result. + * In order to avoid overflows completely the input signal must be scaled down by + * log2(blockSize)-8 bits, as a total of blockSize additions are performed internally. + * After division, internal variables should be Q18.46 + * Finally, the 18.46 accumulator is right shifted by 15 bits to yield a 1.31 format value. + * + */ + +void arm_std_q31( + q31_t * pSrc, + uint32_t blockSize, + q31_t * pResult) +{ + q63_t sum = 0; /* Accumulator */ + q63_t meanOfSquares, squareOfMean; /* square of mean and mean of square */ + q31_t in; /* input value */ + uint32_t blkCnt; /* loop counter */ + q63_t sumOfSquares = 0; /* Accumulator */ + + if (blockSize == 1U) + { + *pResult = 0; + return; + } + +#if defined (ARM_MATH_DSP) + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + /*loop Unrolling */ + blkCnt = blockSize >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */ + /* Compute Sum of squares of the input samples + * and then store the result in a temporary variable, sum. */ + in = *pSrc++ >> 8U; + sum += in; + sumOfSquares += ((q63_t) (in) * (in)); + in = *pSrc++ >> 8U; + sum += in; + sumOfSquares += ((q63_t) (in) * (in)); + in = *pSrc++ >> 8U; + sum += in; + sumOfSquares += ((q63_t) (in) * (in)); + in = *pSrc++ >> 8U; + sum += in; + sumOfSquares += ((q63_t) (in) * (in)); + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4U; + + while (blkCnt > 0U) + { + /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */ + /* Compute Sum of squares of the input samples + * and then store the result in a temporary variable, sum. */ + in = *pSrc++ >> 8U; + sum += in; + sumOfSquares += ((q63_t) (in) * (in)); + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Compute Mean of squares of the input samples + * and then store the result in a temporary variable, meanOfSquares. */ + meanOfSquares = sumOfSquares / (q63_t)(blockSize - 1U); + +#else + /* Run the below code for Cortex-M0 */ + + /* Loop over blockSize number of values */ + blkCnt = blockSize; + + while (blkCnt > 0U) + { + /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */ + /* Compute Sum of squares of the input samples + * and then store the result in a temporary variable, sumOfSquares. */ + in = *pSrc++ >> 8U; + sumOfSquares += ((q63_t) (in) * (in)); + + /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */ + /* Compute sum of all input values and then store the result in a temporary variable, sum. */ + sum += in; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Compute Mean of squares of the input samples + * and then store the result in a temporary variable, meanOfSquares. */ + meanOfSquares = sumOfSquares / (q63_t)(blockSize - 1U); + +#endif /* #if defined (ARM_MATH_DSP) */ + + /* Compute square of mean */ + squareOfMean = sum * sum / (q63_t)(blockSize * (blockSize - 1U)); + + /* Compute standard deviation and then store the result to the destination */ + arm_sqrt_q31((meanOfSquares - squareOfMean) >> 15U, pResult); +} + +/** + * @} end of STD group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_var_f32.c b/cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_var_f32.c new file mode 100644 index 0000000..a366f5c --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_var_f32.c @@ -0,0 +1,181 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_var_f32.c + * Description: Variance of the elements of a floating-point vector + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupStats + */ + +/** + * @defgroup variance Variance + * + * Calculates the variance of the elements in the input vector. + * The underlying algorithm used is the direct method sometimes referred to as the two-pass method: + * + *
+ *   Result = sum(element - meanOfElements)^2) / numElement - 1
+ *
+ *     where, meanOfElements = ( pSrc[0] * pSrc[0] + pSrc[1] * pSrc[1] + ... + pSrc[blockSize-1] ) / blockSize
+ *
+ * 
+ * + * There are separate functions for floating point, Q31, and Q15 data types. + */ + +/** + * @addtogroup variance + * @{ + */ + + +/** + * @brief Variance of the elements of a floating-point vector. + * @param[in] *pSrc points to the input vector + * @param[in] blockSize length of the input vector + * @param[out] *pResult variance value returned here + * @return none. + */ + +void arm_var_f32( + float32_t * pSrc, + uint32_t blockSize, + float32_t * pResult) +{ + float32_t fMean, fValue; + uint32_t blkCnt; /* loop counter */ + float32_t * pInput = pSrc; + float32_t sum = 0.0f; + float32_t fSum = 0.0f; + #if defined(ARM_MATH_DSP) + float32_t in1, in2, in3, in4; + #endif + + if (blockSize <= 1U) + { + *pResult = 0; + return; + } + + #if defined(ARM_MATH_DSP) + /* Run the below code for Cortex-M4 and Cortex-M7 */ + + /*loop Unrolling */ + blkCnt = blockSize >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */ + in1 = *pInput++; + in2 = *pInput++; + in3 = *pInput++; + in4 = *pInput++; + + sum += in1; + sum += in2; + sum += in3; + sum += in4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4U; + + #else + /* Run the below code for Cortex-M0 or Cortex-M3 */ + + /* Loop over blockSize number of values */ + blkCnt = blockSize; + + #endif + + while (blkCnt > 0U) + { + /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */ + sum += *pInput++; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) / blockSize */ + fMean = sum / (float32_t) blockSize; + + pInput = pSrc; + + #if defined(ARM_MATH_DSP) + + /*loop Unrolling */ + blkCnt = blockSize >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + fValue = *pInput++ - fMean; + fSum += fValue * fValue; + fValue = *pInput++ - fMean; + fSum += fValue * fValue; + fValue = *pInput++ - fMean; + fSum += fValue * fValue; + fValue = *pInput++ - fMean; + fSum += fValue * fValue; + + /* Decrement the loop counter */ + blkCnt--; + } + + blkCnt = blockSize % 0x4U; + #else + /* Run the below code for Cortex-M0 or Cortex-M3 */ + + /* Loop over blockSize number of values */ + blkCnt = blockSize; + #endif + + while (blkCnt > 0U) + { + fValue = *pInput++ - fMean; + fSum += fValue * fValue; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Variance */ + *pResult = fSum / (float32_t)(blockSize - 1.0f); +} + +/** + * @} end of variance group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_var_q15.c b/cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_var_q15.c new file mode 100644 index 0000000..ff9972a --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_var_q15.c @@ -0,0 +1,172 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_var_q15.c + * Description: Variance of an array of Q15 type + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupStats + */ + +/** + * @addtogroup variance + * @{ + */ + +/** + * @brief Variance of the elements of a Q15 vector. + * @param[in] *pSrc points to the input vector + * @param[in] blockSize length of the input vector + * @param[out] *pResult variance value returned here + * @return none. + * @details + * Scaling and Overflow Behavior: + * + * \par + * The function is implemented using a 64-bit internal accumulator. + * The input is represented in 1.15 format. + * Intermediate multiplication yields a 2.30 format, and this + * result is added without saturation to a 64-bit accumulator in 34.30 format. + * With 33 guard bits in the accumulator, there is no risk of overflow, and the + * full precision of the intermediate multiplication is preserved. + * Finally, the 34.30 result is truncated to 34.15 format by discarding the lower + * 15 bits, and then saturated to yield a result in 1.15 format. + */ + +void arm_var_q15( + q15_t * pSrc, + uint32_t blockSize, + q15_t * pResult) +{ + q31_t sum = 0; /* Accumulator */ + q31_t meanOfSquares, squareOfMean; /* square of mean and mean of square */ + uint32_t blkCnt; /* loop counter */ + q63_t sumOfSquares = 0; /* Accumulator */ +#if defined (ARM_MATH_DSP) + q31_t in; /* input value */ + q15_t in1; /* input value */ +#else + q15_t in; /* input value */ +#endif + + if (blockSize == 1U) + { + *pResult = 0; + return; + } + +#if defined (ARM_MATH_DSP) + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + /*loop Unrolling */ + blkCnt = blockSize >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */ + /* Compute Sum of squares of the input samples + * and then store the result in a temporary variable, sum. */ + in = *__SIMD32(pSrc)++; + sum += ((in << 16U) >> 16U); + sum += (in >> 16U); + sumOfSquares = __SMLALD(in, in, sumOfSquares); + in = *__SIMD32(pSrc)++; + sum += ((in << 16U) >> 16U); + sum += (in >> 16U); + sumOfSquares = __SMLALD(in, in, sumOfSquares); + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4U; + + while (blkCnt > 0U) + { + /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */ + /* Compute Sum of squares of the input samples + * and then store the result in a temporary variable, sum. */ + in1 = *pSrc++; + sumOfSquares = __SMLALD(in1, in1, sumOfSquares); + sum += in1; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Compute Mean of squares of the input samples + * and then store the result in a temporary variable, meanOfSquares. */ + meanOfSquares = (q31_t)(sumOfSquares / (q63_t)(blockSize - 1U)); + + /* Compute square of mean */ + squareOfMean = (q31_t)((q63_t)sum * sum / (q63_t)(blockSize * (blockSize - 1U))); + + /* mean of the squares minus the square of the mean. */ + *pResult = (meanOfSquares - squareOfMean) >> 15U; + +#else + /* Run the below code for Cortex-M0 */ + + /* Loop over blockSize number of values */ + blkCnt = blockSize; + + while (blkCnt > 0U) + { + /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */ + /* Compute Sum of squares of the input samples + * and then store the result in a temporary variable, sumOfSquares. */ + in = *pSrc++; + sumOfSquares += (in * in); + + /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */ + /* Compute sum of all input values and then store the result in a temporary variable, sum. */ + sum += in; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Compute Mean of squares of the input samples + * and then store the result in a temporary variable, meanOfSquares. */ + meanOfSquares = (q31_t)(sumOfSquares / (q63_t)(blockSize - 1U)); + + /* Compute square of mean */ + squareOfMean = (q31_t)((q63_t)sum * sum / (q63_t)(blockSize * (blockSize - 1U))); + + /* mean of the squares minus the square of the mean. */ + *pResult = (meanOfSquares - squareOfMean) >> 15; + +#endif /* #if defined (ARM_MATH_DSP) */ +} + +/** + * @} end of variance group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_var_q31.c b/cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_var_q31.c new file mode 100644 index 0000000..08e80fe --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_var_q31.c @@ -0,0 +1,169 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_var_q31.c + * Description: Variance of an array of Q31 type + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupStats + */ + +/** + * @addtogroup variance + * @{ + */ + +/** + * @brief Variance of the elements of a Q31 vector. + * @param[in] *pSrc points to the input vector + * @param[in] blockSize length of the input vector + * @param[out] *pResult variance value returned here + * @return none. + * @details + * Scaling and Overflow Behavior: + * + *\par + * The function is implemented using an internal 64-bit accumulator. + * The input is represented in 1.31 format, which is then downshifted by 8 bits + * which yields 1.23, and intermediate multiplication yields a 2.46 format. + * The accumulator maintains full precision of the intermediate multiplication results, + * but provides only a 16 guard bits. + * There is no saturation on intermediate additions. + * If the accumulator overflows it wraps around and distorts the result. + * In order to avoid overflows completely the input signal must be scaled down by + * log2(blockSize)-8 bits, as a total of blockSize additions are performed internally. + * After division, internal variables should be Q18.46 + * Finally, the 18.46 accumulator is right shifted by 15 bits to yield a 1.31 format value. + * + */ + +void arm_var_q31( + q31_t * pSrc, + uint32_t blockSize, + q31_t * pResult) +{ + q63_t sum = 0; /* Accumulator */ + q63_t meanOfSquares, squareOfMean; /* square of mean and mean of square */ + q31_t in; /* input value */ + uint32_t blkCnt; /* loop counter */ + q63_t sumOfSquares = 0; /* Accumulator */ + + if (blockSize == 1U) + { + *pResult = 0; + return; + } + +#if defined (ARM_MATH_DSP) + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + /*loop Unrolling */ + blkCnt = blockSize >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */ + /* Compute Sum of squares of the input samples + * and then store the result in a temporary variable, sum. */ + in = *pSrc++ >> 8U; + sum += in; + sumOfSquares += ((q63_t) (in) * (in)); + in = *pSrc++ >> 8U; + sum += in; + sumOfSquares += ((q63_t) (in) * (in)); + in = *pSrc++ >> 8U; + sum += in; + sumOfSquares += ((q63_t) (in) * (in)); + in = *pSrc++ >> 8U; + sum += in; + sumOfSquares += ((q63_t) (in) * (in)); + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4U; + + while (blkCnt > 0U) + { + /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */ + /* Compute Sum of squares of the input samples + * and then store the result in a temporary variable, sum. */ + in = *pSrc++ >> 8U; + sum += in; + sumOfSquares += ((q63_t) (in) * (in)); + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Compute Mean of squares of the input samples + * and then store the result in a temporary variable, meanOfSquares. */ + meanOfSquares = sumOfSquares / (q63_t)(blockSize - 1U); + +#else + /* Run the below code for Cortex-M0 */ + + /* Loop over blockSize number of values */ + blkCnt = blockSize; + + while (blkCnt > 0U) + { + /* C = (A[0] * A[0] + A[1] * A[1] + ... + A[blockSize-1] * A[blockSize-1]) */ + /* Compute Sum of squares of the input samples + * and then store the result in a temporary variable, sumOfSquares. */ + in = *pSrc++ >> 8U; + sumOfSquares += ((q63_t) (in) * (in)); + + /* C = (A[0] + A[1] + A[2] + ... + A[blockSize-1]) */ + /* Compute sum of all input values and then store the result in a temporary variable, sum. */ + sum += in; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* Compute Mean of squares of the input samples + * and then store the result in a temporary variable, meanOfSquares. */ + meanOfSquares = sumOfSquares / (q63_t)(blockSize - 1U); + +#endif /* #if defined (ARM_MATH_DSP) */ + + /* Compute square of mean */ + squareOfMean = sum * sum / (q63_t)(blockSize * (blockSize - 1U)); + + /* Compute standard deviation and then store the result to the destination */ + *pResult = (meanOfSquares - squareOfMean) >> 15U; +} + +/** + * @} end of variance group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_copy_f32.c b/cdc-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_copy_f32.c new file mode 100644 index 0000000..13245b6 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_copy_f32.c @@ -0,0 +1,123 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_copy_f32.c + * Description: Copies the elements of a floating-point vector + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupSupport + */ + +/** + * @defgroup copy Vector Copy + * + * Copies sample by sample from source vector to destination vector. + * + *
+ * 	pDst[n] = pSrc[n];   0 <= n < blockSize.
+ * 
+ * + * There are separate functions for floating point, Q31, Q15, and Q7 data types. + */ + +/** + * @addtogroup copy + * @{ + */ + +/** + * @brief Copies the elements of a floating-point vector. + * @param[in] *pSrc points to input vector + * @param[out] *pDst points to output vector + * @param[in] blockSize length of the input vector + * @return none. + * + */ + + +void arm_copy_f32( + float32_t * pSrc, + float32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counter */ + +#if defined (ARM_MATH_DSP) + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + float32_t in1, in2, in3, in4; + + /*loop Unrolling */ + blkCnt = blockSize >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C = A */ + /* Copy and then store the results in the destination buffer */ + in1 = *pSrc++; + in2 = *pSrc++; + in3 = *pSrc++; + in4 = *pSrc++; + + *pDst++ = in1; + *pDst++ = in2; + *pDst++ = in3; + *pDst++ = in4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4U; + +#else + + /* Run the below code for Cortex-M0 */ + + /* Loop over blockSize number of values */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_DSP) */ + + while (blkCnt > 0U) + { + /* C = A */ + /* Copy and then store the results in the destination buffer */ + *pDst++ = *pSrc++; + + /* Decrement the loop counter */ + blkCnt--; + } +} + +/** + * @} end of BasicCopy group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_copy_q15.c b/cdc-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_copy_q15.c new file mode 100644 index 0000000..28b60d9 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_copy_q15.c @@ -0,0 +1,102 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_copy_q15.c + * Description: Copies the elements of a Q15 vector + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupSupport + */ + +/** + * @addtogroup copy + * @{ + */ +/** + * @brief Copies the elements of a Q15 vector. + * @param[in] *pSrc points to input vector + * @param[out] *pDst points to output vector + * @param[in] blockSize length of the input vector + * @return none. + * + */ + +void arm_copy_q15( + q15_t * pSrc, + q15_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counter */ + +#if defined (ARM_MATH_DSP) + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + /*loop Unrolling */ + blkCnt = blockSize >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C = A */ + /* Read two inputs */ + *__SIMD32(pDst)++ = *__SIMD32(pSrc)++; + *__SIMD32(pDst)++ = *__SIMD32(pSrc)++; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4U; + + +#else + + /* Run the below code for Cortex-M0 */ + + /* Loop over blockSize number of values */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_DSP) */ + + while (blkCnt > 0U) + { + /* C = A */ + /* Copy and then store the value in the destination buffer */ + *pDst++ = *pSrc++; + + /* Decrement the loop counter */ + blkCnt--; + } +} + +/** + * @} end of BasicCopy group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_copy_q31.c b/cdc-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_copy_q31.c new file mode 100644 index 0000000..b0bdd05 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_copy_q31.c @@ -0,0 +1,111 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_copy_q31.c + * Description: Copies the elements of a Q31 vector + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupSupport + */ + +/** + * @addtogroup copy + * @{ + */ + +/** + * @brief Copies the elements of a Q31 vector. + * @param[in] *pSrc points to input vector + * @param[out] *pDst points to output vector + * @param[in] blockSize length of the input vector + * @return none. + * + */ + +void arm_copy_q31( + q31_t * pSrc, + q31_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counter */ + + +#if defined (ARM_MATH_DSP) + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + q31_t in1, in2, in3, in4; + + /*loop Unrolling */ + blkCnt = blockSize >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C = A */ + /* Copy and then store the values in the destination buffer */ + in1 = *pSrc++; + in2 = *pSrc++; + in3 = *pSrc++; + in4 = *pSrc++; + + *pDst++ = in1; + *pDst++ = in2; + *pDst++ = in3; + *pDst++ = in4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4U; + +#else + + /* Run the below code for Cortex-M0 */ + + /* Loop over blockSize number of values */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_DSP) */ + + while (blkCnt > 0U) + { + /* C = A */ + /* Copy and then store the value in the destination buffer */ + *pDst++ = *pSrc++; + + /* Decrement the loop counter */ + blkCnt--; + } +} + +/** + * @} end of BasicCopy group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_copy_q7.c b/cdc-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_copy_q7.c new file mode 100644 index 0000000..a3afa36 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_copy_q7.c @@ -0,0 +1,103 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_copy_q7.c + * Description: Copies the elements of a Q7 vector + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupSupport + */ + +/** + * @addtogroup copy + * @{ + */ + +/** + * @brief Copies the elements of a Q7 vector. + * @param[in] *pSrc points to input vector + * @param[out] *pDst points to output vector + * @param[in] blockSize length of the input vector + * @return none. + * + */ + +void arm_copy_q7( + q7_t * pSrc, + q7_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counter */ + +#if defined (ARM_MATH_DSP) + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + /*loop Unrolling */ + blkCnt = blockSize >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C = A */ + /* Copy and then store the results in the destination buffer */ + /* 4 samples are copied and stored at a time using SIMD */ + *__SIMD32(pDst)++ = *__SIMD32(pSrc)++; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4U; + +#else + + /* Run the below code for Cortex-M0 */ + + /* Loop over blockSize number of values */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_DSP) */ + + + while (blkCnt > 0U) + { + /* C = A */ + /* Copy and then store the results in the destination buffer */ + *pDst++ = *pSrc++; + + /* Decrement the loop counter */ + blkCnt--; + } +} + +/** + * @} end of BasicCopy group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_fill_f32.c b/cdc-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_fill_f32.c new file mode 100644 index 0000000..5a70608 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_fill_f32.c @@ -0,0 +1,122 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fill_f32.c + * Description: Fills a constant value into a floating-point vector + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupSupport + */ + +/** + * @defgroup Fill Vector Fill + * + * Fills the destination vector with a constant value. + * + *
+ * 	pDst[n] = value;   0 <= n < blockSize.
+ * 
+ * + * There are separate functions for floating point, Q31, Q15, and Q7 data types. + */ + +/** + * @addtogroup Fill + * @{ + */ + +/** + * @brief Fills a constant value into a floating-point vector. + * @param[in] value input value to be filled + * @param[out] *pDst points to output vector + * @param[in] blockSize length of the output vector + * @return none. + * + */ + + +void arm_fill_f32( + float32_t value, + float32_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counter */ + +#if defined (ARM_MATH_DSP) + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + float32_t in1 = value; + float32_t in2 = value; + float32_t in3 = value; + float32_t in4 = value; + + /*loop Unrolling */ + blkCnt = blockSize >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C = value */ + /* Fill the value in the destination buffer */ + *pDst++ = in1; + *pDst++ = in2; + *pDst++ = in3; + *pDst++ = in4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4U; + +#else + + /* Run the below code for Cortex-M0 */ + + /* Loop over blockSize number of values */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_DSP) */ + + + while (blkCnt > 0U) + { + /* C = value */ + /* Fill the value in the destination buffer */ + *pDst++ = value; + + /* Decrement the loop counter */ + blkCnt--; + } +} + +/** + * @} end of Fill group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_fill_q15.c b/cdc-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_fill_q15.c new file mode 100644 index 0000000..8f27def --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_fill_q15.c @@ -0,0 +1,108 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fill_q15.c + * Description: Fills a constant value into a Q15 vector + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupSupport + */ + +/** + * @addtogroup Fill + * @{ + */ + +/** + * @brief Fills a constant value into a Q15 vector. + * @param[in] value input value to be filled + * @param[out] *pDst points to output vector + * @param[in] blockSize length of the output vector + * @return none. + * + */ + +void arm_fill_q15( + q15_t value, + q15_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counter */ + +#if defined (ARM_MATH_DSP) + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + q31_t packedValue; /* value packed to 32 bits */ + + + /*loop Unrolling */ + blkCnt = blockSize >> 2U; + + /* Packing two 16 bit values to 32 bit value in order to use SIMD */ + packedValue = __PKHBT(value, value, 16U); + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C = value */ + /* Fill the value in the destination buffer */ + *__SIMD32(pDst)++ = packedValue; + *__SIMD32(pDst)++ = packedValue; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4U; + +#else + + /* Run the below code for Cortex-M0 */ + + /* Loop over blockSize number of values */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_DSP) */ + + while (blkCnt > 0U) + { + /* C = value */ + /* Fill the value in the destination buffer */ + *pDst++ = value; + + /* Decrement the loop counter */ + blkCnt--; + } +} + +/** + * @} end of Fill group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_fill_q31.c b/cdc-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_fill_q31.c new file mode 100644 index 0000000..3769f4d --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_fill_q31.c @@ -0,0 +1,109 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fill_q31.c + * Description: Fills a constant value into a Q31 vector + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupSupport + */ + +/** + * @addtogroup Fill + * @{ + */ + +/** + * @brief Fills a constant value into a Q31 vector. + * @param[in] value input value to be filled + * @param[out] *pDst points to output vector + * @param[in] blockSize length of the output vector + * @return none. + * + */ + +void arm_fill_q31( + q31_t value, + q31_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counter */ + + +#if defined (ARM_MATH_DSP) + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + q31_t in1 = value; + q31_t in2 = value; + q31_t in3 = value; + q31_t in4 = value; + + /*loop Unrolling */ + blkCnt = blockSize >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C = value */ + /* Fill the value in the destination buffer */ + *pDst++ = in1; + *pDst++ = in2; + *pDst++ = in3; + *pDst++ = in4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4U; + +#else + + /* Run the below code for Cortex-M0 */ + + /* Loop over blockSize number of values */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_DSP) */ + + while (blkCnt > 0U) + { + /* C = value */ + /* Fill the value in the destination buffer */ + *pDst++ = value; + + /* Decrement the loop counter */ + blkCnt--; + } +} + +/** + * @} end of Fill group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_fill_q7.c b/cdc-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_fill_q7.c new file mode 100644 index 0000000..fa718b7 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_fill_q7.c @@ -0,0 +1,106 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_fill_q7.c + * Description: Fills a constant value into a Q7 vector + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupSupport + */ + +/** + * @addtogroup Fill + * @{ + */ + +/** + * @brief Fills a constant value into a Q7 vector. + * @param[in] value input value to be filled + * @param[out] *pDst points to output vector + * @param[in] blockSize length of the output vector + * @return none. + * + */ + +void arm_fill_q7( + q7_t value, + q7_t * pDst, + uint32_t blockSize) +{ + uint32_t blkCnt; /* loop counter */ + +#if defined (ARM_MATH_DSP) + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + q31_t packedValue; /* value packed to 32 bits */ + + /*loop Unrolling */ + blkCnt = blockSize >> 2U; + + /* Packing four 8 bit values to 32 bit value in order to use SIMD */ + packedValue = __PACKq7(value, value, value, value); + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C = value */ + /* Fill the value in the destination buffer */ + *__SIMD32(pDst)++ = packedValue; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4U; + +#else + + /* Run the below code for Cortex-M0 */ + + /* Loop over blockSize number of values */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_DSP) */ + + while (blkCnt > 0U) + { + /* C = value */ + /* Fill the value in the destination buffer */ + *pDst++ = value; + + /* Decrement the loop counter */ + blkCnt--; + } +} + +/** + * @} end of Fill group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_float_to_q15.c b/cdc-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_float_to_q15.c new file mode 100644 index 0000000..b652e7c --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_float_to_q15.c @@ -0,0 +1,192 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_float_to_q15.c + * Description: Converts the elements of the floating-point vector to Q15 vector + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupSupport + */ + +/** + * @addtogroup float_to_x + * @{ + */ + +/** + * @brief Converts the elements of the floating-point vector to Q15 vector. + * @param[in] *pSrc points to the floating-point input vector + * @param[out] *pDst points to the Q15 output vector + * @param[in] blockSize length of the input vector + * @return none. + * + * \par Description: + * \par + * The equation used for the conversion process is: + *
+ * 	pDst[n] = (q15_t)(pSrc[n] * 32768);   0 <= n < blockSize.
+ * 
+ * \par Scaling and Overflow Behavior: + * \par + * The function uses saturating arithmetic. + * Results outside of the allowable Q15 range [0x8000 0x7FFF] will be saturated. + * \note + * In order to apply rounding, the library should be rebuilt with the ROUNDING macro + * defined in the preprocessor section of project options. + * + */ + + +void arm_float_to_q15( + float32_t * pSrc, + q15_t * pDst, + uint32_t blockSize) +{ + float32_t *pIn = pSrc; /* Src pointer */ + uint32_t blkCnt; /* loop counter */ + +#ifdef ARM_MATH_ROUNDING + + float32_t in; + +#endif /* #ifdef ARM_MATH_ROUNDING */ + +#if defined (ARM_MATH_DSP) + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + /*loop Unrolling */ + blkCnt = blockSize >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + +#ifdef ARM_MATH_ROUNDING + /* C = A * 32768 */ + /* convert from float to q15 and then store the results in the destination buffer */ + in = *pIn++; + in = (in * 32768.0f); + in += in > 0.0f ? 0.5f : -0.5f; + *pDst++ = (q15_t) (__SSAT((q31_t) (in), 16)); + + in = *pIn++; + in = (in * 32768.0f); + in += in > 0.0f ? 0.5f : -0.5f; + *pDst++ = (q15_t) (__SSAT((q31_t) (in), 16)); + + in = *pIn++; + in = (in * 32768.0f); + in += in > 0.0f ? 0.5f : -0.5f; + *pDst++ = (q15_t) (__SSAT((q31_t) (in), 16)); + + in = *pIn++; + in = (in * 32768.0f); + in += in > 0.0f ? 0.5f : -0.5f; + *pDst++ = (q15_t) (__SSAT((q31_t) (in), 16)); + +#else + + /* C = A * 32768 */ + /* convert from float to q15 and then store the results in the destination buffer */ + *pDst++ = (q15_t) __SSAT((q31_t) (*pIn++ * 32768.0f), 16); + *pDst++ = (q15_t) __SSAT((q31_t) (*pIn++ * 32768.0f), 16); + *pDst++ = (q15_t) __SSAT((q31_t) (*pIn++ * 32768.0f), 16); + *pDst++ = (q15_t) __SSAT((q31_t) (*pIn++ * 32768.0f), 16); + +#endif /* #ifdef ARM_MATH_ROUNDING */ + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4U; + + while (blkCnt > 0U) + { + +#ifdef ARM_MATH_ROUNDING + /* C = A * 32768 */ + /* convert from float to q15 and then store the results in the destination buffer */ + in = *pIn++; + in = (in * 32768.0f); + in += in > 0.0f ? 0.5f : -0.5f; + *pDst++ = (q15_t) (__SSAT((q31_t) (in), 16)); + +#else + + /* C = A * 32768 */ + /* convert from float to q15 and then store the results in the destination buffer */ + *pDst++ = (q15_t) __SSAT((q31_t) (*pIn++ * 32768.0f), 16); + +#endif /* #ifdef ARM_MATH_ROUNDING */ + + /* Decrement the loop counter */ + blkCnt--; + } + + +#else + + /* Run the below code for Cortex-M0 */ + + /* Loop over blockSize number of values */ + blkCnt = blockSize; + + while (blkCnt > 0U) + { + +#ifdef ARM_MATH_ROUNDING + /* C = A * 32768 */ + /* convert from float to q15 and then store the results in the destination buffer */ + in = *pIn++; + in = (in * 32768.0f); + in += in > 0 ? 0.5f : -0.5f; + *pDst++ = (q15_t) (__SSAT((q31_t) (in), 16)); + +#else + + /* C = A * 32768 */ + /* convert from float to q15 and then store the results in the destination buffer */ + *pDst++ = (q15_t) __SSAT((q31_t) (*pIn++ * 32768.0f), 16); + +#endif /* #ifdef ARM_MATH_ROUNDING */ + + /* Decrement the loop counter */ + blkCnt--; + } + +#endif /* #if defined (ARM_MATH_DSP) */ + +} + +/** + * @} end of float_to_x group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_float_to_q31.c b/cdc-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_float_to_q31.c new file mode 100644 index 0000000..7ce1402 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_float_to_q31.c @@ -0,0 +1,199 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_float_to_q31.c + * Description: Converts the elements of the floating-point vector to Q31 vector + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupSupport + */ + +/** + * @defgroup float_to_x Convert 32-bit floating point value + */ + +/** + * @addtogroup float_to_x + * @{ + */ + +/** + * @brief Converts the elements of the floating-point vector to Q31 vector. + * @param[in] *pSrc points to the floating-point input vector + * @param[out] *pDst points to the Q31 output vector + * @param[in] blockSize length of the input vector + * @return none. + * + *\par Description: + * \par + * The equation used for the conversion process is: + * + *
+ * 	pDst[n] = (q31_t)(pSrc[n] * 2147483648);   0 <= n < blockSize.
+ * 
+ * Scaling and Overflow Behavior: + * \par + * The function uses saturating arithmetic. + * Results outside of the allowable Q31 range[0x80000000 0x7FFFFFFF] will be saturated. + * + * \note In order to apply rounding, the library should be rebuilt with the ROUNDING macro + * defined in the preprocessor section of project options. + */ + + +void arm_float_to_q31( + float32_t * pSrc, + q31_t * pDst, + uint32_t blockSize) +{ + float32_t *pIn = pSrc; /* Src pointer */ + uint32_t blkCnt; /* loop counter */ + +#ifdef ARM_MATH_ROUNDING + + float32_t in; + +#endif /* #ifdef ARM_MATH_ROUNDING */ + +#if defined (ARM_MATH_DSP) + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + /*loop Unrolling */ + blkCnt = blockSize >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + +#ifdef ARM_MATH_ROUNDING + + /* C = A * 32768 */ + /* convert from float to Q31 and then store the results in the destination buffer */ + in = *pIn++; + in = (in * 2147483648.0f); + in += in > 0.0f ? 0.5f : -0.5f; + *pDst++ = clip_q63_to_q31((q63_t) (in)); + + in = *pIn++; + in = (in * 2147483648.0f); + in += in > 0.0f ? 0.5f : -0.5f; + *pDst++ = clip_q63_to_q31((q63_t) (in)); + + in = *pIn++; + in = (in * 2147483648.0f); + in += in > 0.0f ? 0.5f : -0.5f; + *pDst++ = clip_q63_to_q31((q63_t) (in)); + + in = *pIn++; + in = (in * 2147483648.0f); + in += in > 0.0f ? 0.5f : -0.5f; + *pDst++ = clip_q63_to_q31((q63_t) (in)); + +#else + + /* C = A * 2147483648 */ + /* convert from float to Q31 and then store the results in the destination buffer */ + *pDst++ = clip_q63_to_q31((q63_t) (*pIn++ * 2147483648.0f)); + *pDst++ = clip_q63_to_q31((q63_t) (*pIn++ * 2147483648.0f)); + *pDst++ = clip_q63_to_q31((q63_t) (*pIn++ * 2147483648.0f)); + *pDst++ = clip_q63_to_q31((q63_t) (*pIn++ * 2147483648.0f)); + +#endif /* #ifdef ARM_MATH_ROUNDING */ + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4U; + + while (blkCnt > 0U) + { + +#ifdef ARM_MATH_ROUNDING + + /* C = A * 2147483648 */ + /* convert from float to Q31 and then store the results in the destination buffer */ + in = *pIn++; + in = (in * 2147483648.0f); + in += in > 0.0f ? 0.5f : -0.5f; + *pDst++ = clip_q63_to_q31((q63_t) (in)); + +#else + + /* C = A * 2147483648 */ + /* convert from float to Q31 and then store the results in the destination buffer */ + *pDst++ = clip_q63_to_q31((q63_t) (*pIn++ * 2147483648.0f)); + +#endif /* #ifdef ARM_MATH_ROUNDING */ + + /* Decrement the loop counter */ + blkCnt--; + } + + +#else + + /* Run the below code for Cortex-M0 */ + + /* Loop over blockSize number of values */ + blkCnt = blockSize; + + while (blkCnt > 0U) + { + +#ifdef ARM_MATH_ROUNDING + + /* C = A * 2147483648 */ + /* convert from float to Q31 and then store the results in the destination buffer */ + in = *pIn++; + in = (in * 2147483648.0f); + in += in > 0 ? 0.5f : -0.5f; + *pDst++ = clip_q63_to_q31((q63_t) (in)); + +#else + + /* C = A * 2147483648 */ + /* convert from float to Q31 and then store the results in the destination buffer */ + *pDst++ = clip_q63_to_q31((q63_t) (*pIn++ * 2147483648.0f)); + +#endif /* #ifdef ARM_MATH_ROUNDING */ + + /* Decrement the loop counter */ + blkCnt--; + } + +#endif /* #if defined (ARM_MATH_DSP) */ + +} + +/** + * @} end of float_to_x group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_float_to_q7.c b/cdc-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_float_to_q7.c new file mode 100644 index 0000000..7fd3f2c --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_float_to_q7.c @@ -0,0 +1,191 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_float_to_q7.c + * Description: Converts the elements of the floating-point vector to Q7 vector + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupSupport + */ + +/** + * @addtogroup float_to_x + * @{ + */ + +/** + * @brief Converts the elements of the floating-point vector to Q7 vector. + * @param[in] *pSrc points to the floating-point input vector + * @param[out] *pDst points to the Q7 output vector + * @param[in] blockSize length of the input vector + * @return none. + * + *\par Description: + * \par + * The equation used for the conversion process is: + *
+ * 	pDst[n] = (q7_t)(pSrc[n] * 128);   0 <= n < blockSize.
+ * 
+ * \par Scaling and Overflow Behavior: + * \par + * The function uses saturating arithmetic. + * Results outside of the allowable Q7 range [0x80 0x7F] will be saturated. + * \note + * In order to apply rounding, the library should be rebuilt with the ROUNDING macro + * defined in the preprocessor section of project options. + */ + + +void arm_float_to_q7( + float32_t * pSrc, + q7_t * pDst, + uint32_t blockSize) +{ + float32_t *pIn = pSrc; /* Src pointer */ + uint32_t blkCnt; /* loop counter */ + +#ifdef ARM_MATH_ROUNDING + + float32_t in; + +#endif /* #ifdef ARM_MATH_ROUNDING */ + +#if defined (ARM_MATH_DSP) + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + /*loop Unrolling */ + blkCnt = blockSize >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + +#ifdef ARM_MATH_ROUNDING + /* C = A * 128 */ + /* convert from float to q7 and then store the results in the destination buffer */ + in = *pIn++; + in = (in * 128); + in += in > 0.0f ? 0.5f : -0.5f; + *pDst++ = (q7_t) (__SSAT((q15_t) (in), 8)); + + in = *pIn++; + in = (in * 128); + in += in > 0.0f ? 0.5f : -0.5f; + *pDst++ = (q7_t) (__SSAT((q15_t) (in), 8)); + + in = *pIn++; + in = (in * 128); + in += in > 0.0f ? 0.5f : -0.5f; + *pDst++ = (q7_t) (__SSAT((q15_t) (in), 8)); + + in = *pIn++; + in = (in * 128); + in += in > 0.0f ? 0.5f : -0.5f; + *pDst++ = (q7_t) (__SSAT((q15_t) (in), 8)); + +#else + + /* C = A * 128 */ + /* convert from float to q7 and then store the results in the destination buffer */ + *pDst++ = __SSAT((q31_t) (*pIn++ * 128.0f), 8); + *pDst++ = __SSAT((q31_t) (*pIn++ * 128.0f), 8); + *pDst++ = __SSAT((q31_t) (*pIn++ * 128.0f), 8); + *pDst++ = __SSAT((q31_t) (*pIn++ * 128.0f), 8); + +#endif /* #ifdef ARM_MATH_ROUNDING */ + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4U; + + while (blkCnt > 0U) + { + +#ifdef ARM_MATH_ROUNDING + /* C = A * 128 */ + /* convert from float to q7 and then store the results in the destination buffer */ + in = *pIn++; + in = (in * 128); + in += in > 0.0f ? 0.5f : -0.5f; + *pDst++ = (q7_t) (__SSAT((q15_t) (in), 8)); + +#else + + /* C = A * 128 */ + /* convert from float to q7 and then store the results in the destination buffer */ + *pDst++ = __SSAT((q31_t) (*pIn++ * 128.0f), 8); + +#endif /* #ifdef ARM_MATH_ROUNDING */ + + /* Decrement the loop counter */ + blkCnt--; + } + + +#else + + /* Run the below code for Cortex-M0 */ + + + /* Loop over blockSize number of values */ + blkCnt = blockSize; + + while (blkCnt > 0U) + { +#ifdef ARM_MATH_ROUNDING + /* C = A * 128 */ + /* convert from float to q7 and then store the results in the destination buffer */ + in = *pIn++; + in = (in * 128.0f); + in += in > 0 ? 0.5f : -0.5f; + *pDst++ = (q7_t) (__SSAT((q31_t) (in), 8)); + +#else + + /* C = A * 128 */ + /* convert from float to q7 and then store the results in the destination buffer */ + *pDst++ = (q7_t) __SSAT((q31_t) (*pIn++ * 128.0f), 8); + +#endif /* #ifdef ARM_MATH_ROUNDING */ + + /* Decrement the loop counter */ + blkCnt--; + } + +#endif /* #if defined (ARM_MATH_DSP) */ + +} + +/** + * @} end of float_to_x group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_q15_to_float.c b/cdc-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_q15_to_float.c new file mode 100644 index 0000000..442ba9f --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_q15_to_float.c @@ -0,0 +1,122 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_q15_to_float.c + * Description: Converts the elements of the Q15 vector to floating-point vector + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupSupport + */ + +/** + * @defgroup q15_to_x Convert 16-bit Integer value + */ + +/** + * @addtogroup q15_to_x + * @{ + */ + + + + +/** + * @brief Converts the elements of the Q15 vector to floating-point vector. + * @param[in] *pSrc points to the Q15 input vector + * @param[out] *pDst points to the floating-point output vector + * @param[in] blockSize length of the input vector + * @return none. + * + * \par Description: + * + * The equation used for the conversion process is: + * + *
+ * 	pDst[n] = (float32_t) pSrc[n] / 32768;   0 <= n < blockSize.
+ * 
+ * + */ + + +void arm_q15_to_float( + q15_t * pSrc, + float32_t * pDst, + uint32_t blockSize) +{ + q15_t *pIn = pSrc; /* Src pointer */ + uint32_t blkCnt; /* loop counter */ + + +#if defined (ARM_MATH_DSP) + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + /*loop Unrolling */ + blkCnt = blockSize >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C = (float32_t) A / 32768 */ + /* convert from q15 to float and then store the results in the destination buffer */ + *pDst++ = ((float32_t) * pIn++ / 32768.0f); + *pDst++ = ((float32_t) * pIn++ / 32768.0f); + *pDst++ = ((float32_t) * pIn++ / 32768.0f); + *pDst++ = ((float32_t) * pIn++ / 32768.0f); + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4U; + +#else + + /* Run the below code for Cortex-M0 */ + + /* Loop over blockSize number of values */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_DSP) */ + + while (blkCnt > 0U) + { + /* C = (float32_t) A / 32768 */ + /* convert from q15 to float and then store the results in the destination buffer */ + *pDst++ = ((float32_t) * pIn++ / 32768.0f); + + /* Decrement the loop counter */ + blkCnt--; + } +} + +/** + * @} end of q15_to_x group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_q15_to_q31.c b/cdc-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_q15_to_q31.c new file mode 100644 index 0000000..2dff322 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_q15_to_q31.c @@ -0,0 +1,144 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_q15_to_q31.c + * Description: Converts the elements of the Q15 vector to Q31 vector + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupSupport + */ + +/** + * @addtogroup q15_to_x + * @{ + */ + +/** + * @brief Converts the elements of the Q15 vector to Q31 vector. + * @param[in] *pSrc points to the Q15 input vector + * @param[out] *pDst points to the Q31 output vector + * @param[in] blockSize length of the input vector + * @return none. + * + * \par Description: + * + * The equation used for the conversion process is: + * + *
+ * 	pDst[n] = (q31_t) pSrc[n] << 16;   0 <= n < blockSize.
+ * 
+ * + */ + + +void arm_q15_to_q31( + q15_t * pSrc, + q31_t * pDst, + uint32_t blockSize) +{ + q15_t *pIn = pSrc; /* Src pointer */ + uint32_t blkCnt; /* loop counter */ + +#if defined (ARM_MATH_DSP) + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + q31_t in1, in2; + q31_t out1, out2, out3, out4; + + /*loop Unrolling */ + blkCnt = blockSize >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C = (q31_t)A << 16 */ + /* convert from q15 to q31 and then store the results in the destination buffer */ + in1 = *__SIMD32(pIn)++; + in2 = *__SIMD32(pIn)++; + +#ifndef ARM_MATH_BIG_ENDIAN + + /* extract lower 16 bits to 32 bit result */ + out1 = in1 << 16U; + /* extract upper 16 bits to 32 bit result */ + out2 = in1 & 0xFFFF0000; + /* extract lower 16 bits to 32 bit result */ + out3 = in2 << 16U; + /* extract upper 16 bits to 32 bit result */ + out4 = in2 & 0xFFFF0000; + +#else + + /* extract upper 16 bits to 32 bit result */ + out1 = in1 & 0xFFFF0000; + /* extract lower 16 bits to 32 bit result */ + out2 = in1 << 16U; + /* extract upper 16 bits to 32 bit result */ + out3 = in2 & 0xFFFF0000; + /* extract lower 16 bits to 32 bit result */ + out4 = in2 << 16U; + +#endif // #ifndef ARM_MATH_BIG_ENDIAN + + *pDst++ = out1; + *pDst++ = out2; + *pDst++ = out3; + *pDst++ = out4; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4U; + +#else + + /* Run the below code for Cortex-M0 */ + + /* Loop over blockSize number of values */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_DSP) */ + + while (blkCnt > 0U) + { + /* C = (q31_t)A << 16 */ + /* convert from q15 to q31 and then store the results in the destination buffer */ + *pDst++ = (q31_t) * pIn++ << 16; + + /* Decrement the loop counter */ + blkCnt--; + } + +} + +/** + * @} end of q15_to_x group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_q15_to_q7.c b/cdc-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_q15_to_q7.c new file mode 100644 index 0000000..26a35e7 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_q15_to_q7.c @@ -0,0 +1,142 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_q15_to_q7.c + * Description: Converts the elements of the Q15 vector to Q7 vector + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupSupport + */ + +/** + * @addtogroup q15_to_x + * @{ + */ + + +/** + * @brief Converts the elements of the Q15 vector to Q7 vector. + * @param[in] *pSrc points to the Q15 input vector + * @param[out] *pDst points to the Q7 output vector + * @param[in] blockSize length of the input vector + * @return none. + * + * \par Description: + * + * The equation used for the conversion process is: + * + *
+ * 	pDst[n] = (q7_t) pSrc[n] >> 8;   0 <= n < blockSize.
+ * 
+ * + */ + + +void arm_q15_to_q7( + q15_t * pSrc, + q7_t * pDst, + uint32_t blockSize) +{ + q15_t *pIn = pSrc; /* Src pointer */ + uint32_t blkCnt; /* loop counter */ + +#if defined (ARM_MATH_DSP) + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + q31_t in1, in2; + q31_t out1, out2; + + /*loop Unrolling */ + blkCnt = blockSize >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C = (q7_t) A >> 8 */ + /* convert from q15 to q7 and then store the results in the destination buffer */ + in1 = *__SIMD32(pIn)++; + in2 = *__SIMD32(pIn)++; + +#ifndef ARM_MATH_BIG_ENDIAN + + out1 = __PKHTB(in2, in1, 16); + out2 = __PKHBT(in2, in1, 16); + +#else + + out1 = __PKHTB(in1, in2, 16); + out2 = __PKHBT(in1, in2, 16); + +#endif // #ifndef ARM_MATH_BIG_ENDIAN + + /* rotate packed value by 24 */ + out2 = ((uint32_t) out2 << 8) | ((uint32_t) out2 >> 24); + + /* anding with 0xff00ff00 to get two 8 bit values */ + out1 = out1 & 0xFF00FF00; + /* anding with 0x00ff00ff to get two 8 bit values */ + out2 = out2 & 0x00FF00FF; + + /* oring two values(contains two 8 bit values) to get four packed 8 bit values */ + out1 = out1 | out2; + + /* store 4 samples at a time to destiantion buffer */ + *__SIMD32(pDst)++ = out1; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4U; + +#else + + /* Run the below code for Cortex-M0 */ + + /* Loop over blockSize number of values */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_DSP) */ + + while (blkCnt > 0U) + { + /* C = (q7_t) A >> 8 */ + /* convert from q15 to q7 and then store the results in the destination buffer */ + *pDst++ = (q7_t) (*pIn++ >> 8); + + /* Decrement the loop counter */ + blkCnt--; + } + +} + +/** + * @} end of q15_to_x group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_q31_to_float.c b/cdc-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_q31_to_float.c new file mode 100644 index 0000000..b15d90e --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_q31_to_float.c @@ -0,0 +1,119 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_q31_to_float.c + * Description: Converts the elements of the Q31 vector to floating-point vector + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupSupport + */ + +/** + * @defgroup q31_to_x Convert 32-bit Integer value + */ + +/** + * @addtogroup q31_to_x + * @{ + */ + +/** + * @brief Converts the elements of the Q31 vector to floating-point vector. + * @param[in] *pSrc points to the Q31 input vector + * @param[out] *pDst points to the floating-point output vector + * @param[in] blockSize length of the input vector + * @return none. + * + * \par Description: + * + * The equation used for the conversion process is: + * + *
+ * 	pDst[n] = (float32_t) pSrc[n] / 2147483648;   0 <= n < blockSize.
+ * 
+ * + */ + + +void arm_q31_to_float( + q31_t * pSrc, + float32_t * pDst, + uint32_t blockSize) +{ + q31_t *pIn = pSrc; /* Src pointer */ + uint32_t blkCnt; /* loop counter */ + + +#if defined (ARM_MATH_DSP) + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + /*loop Unrolling */ + blkCnt = blockSize >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C = (float32_t) A / 2147483648 */ + /* convert from q31 to float and then store the results in the destination buffer */ + *pDst++ = ((float32_t) * pIn++ / 2147483648.0f); + *pDst++ = ((float32_t) * pIn++ / 2147483648.0f); + *pDst++ = ((float32_t) * pIn++ / 2147483648.0f); + *pDst++ = ((float32_t) * pIn++ / 2147483648.0f); + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4U; + +#else + + /* Run the below code for Cortex-M0 */ + + /* Loop over blockSize number of values */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_DSP) */ + + while (blkCnt > 0U) + { + /* C = (float32_t) A / 2147483648 */ + /* convert from q31 to float and then store the results in the destination buffer */ + *pDst++ = ((float32_t) * pIn++ / 2147483648.0f); + + /* Decrement the loop counter */ + blkCnt--; + } +} + +/** + * @} end of q31_to_x group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_q31_to_q15.c b/cdc-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_q31_to_q15.c new file mode 100644 index 0000000..2fd305b --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_q31_to_q15.c @@ -0,0 +1,133 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_q31_to_q15.c + * Description: Converts the elements of the Q31 vector to Q15 vector + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupSupport + */ + +/** + * @addtogroup q31_to_x + * @{ + */ + +/** + * @brief Converts the elements of the Q31 vector to Q15 vector. + * @param[in] *pSrc points to the Q31 input vector + * @param[out] *pDst points to the Q15 output vector + * @param[in] blockSize length of the input vector + * @return none. + * + * \par Description: + * + * The equation used for the conversion process is: + * + *
+ * 	pDst[n] = (q15_t) pSrc[n] >> 16;   0 <= n < blockSize.
+ * 
+ * + */ + + +void arm_q31_to_q15( + q31_t * pSrc, + q15_t * pDst, + uint32_t blockSize) +{ + q31_t *pIn = pSrc; /* Src pointer */ + uint32_t blkCnt; /* loop counter */ + +#if defined (ARM_MATH_DSP) + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + q31_t in1, in2, in3, in4; + q31_t out1, out2; + + /*loop Unrolling */ + blkCnt = blockSize >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C = (q15_t) A >> 16 */ + /* convert from q31 to q15 and then store the results in the destination buffer */ + in1 = *pIn++; + in2 = *pIn++; + in3 = *pIn++; + in4 = *pIn++; + + /* pack two higher 16-bit values from two 32-bit values */ +#ifndef ARM_MATH_BIG_ENDIAN + + out1 = __PKHTB(in2, in1, 16); + out2 = __PKHTB(in4, in3, 16); + +#else + + out1 = __PKHTB(in1, in2, 16); + out2 = __PKHTB(in3, in4, 16); + +#endif // #ifdef ARM_MATH_BIG_ENDIAN + + *__SIMD32(pDst)++ = out1; + *__SIMD32(pDst)++ = out2; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4U; + +#else + + /* Run the below code for Cortex-M0 */ + + /* Loop over blockSize number of values */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_DSP) */ + + while (blkCnt > 0U) + { + /* C = (q15_t) A >> 16 */ + /* convert from q31 to q15 and then store the results in the destination buffer */ + *pDst++ = (q15_t) (*pIn++ >> 16); + + /* Decrement the loop counter */ + blkCnt--; + } + +} + +/** + * @} end of q31_to_x group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_q31_to_q7.c b/cdc-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_q31_to_q7.c new file mode 100644 index 0000000..6586861 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_q31_to_q7.c @@ -0,0 +1,124 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_q31_to_q7.c + * Description: Converts the elements of the Q31 vector to Q7 vector + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupSupport + */ + +/** + * @addtogroup q31_to_x + * @{ + */ + +/** + * @brief Converts the elements of the Q31 vector to Q7 vector. + * @param[in] *pSrc points to the Q31 input vector + * @param[out] *pDst points to the Q7 output vector + * @param[in] blockSize length of the input vector + * @return none. + * + * \par Description: + * + * The equation used for the conversion process is: + * + *
+ * 	pDst[n] = (q7_t) pSrc[n] >> 24;   0 <= n < blockSize.
+ * 
+ * + */ + + +void arm_q31_to_q7( + q31_t * pSrc, + q7_t * pDst, + uint32_t blockSize) +{ + q31_t *pIn = pSrc; /* Src pointer */ + uint32_t blkCnt; /* loop counter */ + +#if defined (ARM_MATH_DSP) + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + q31_t in1, in2, in3, in4; + q7_t out1, out2, out3, out4; + + /*loop Unrolling */ + blkCnt = blockSize >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C = (q7_t) A >> 24 */ + /* convert from q31 to q7 and then store the results in the destination buffer */ + in1 = *pIn++; + in2 = *pIn++; + in3 = *pIn++; + in4 = *pIn++; + + out1 = (q7_t) (in1 >> 24); + out2 = (q7_t) (in2 >> 24); + out3 = (q7_t) (in3 >> 24); + out4 = (q7_t) (in4 >> 24); + + *__SIMD32(pDst)++ = __PACKq7(out1, out2, out3, out4); + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4U; + +#else + + /* Run the below code for Cortex-M0 */ + + /* Loop over blockSize number of values */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_DSP) */ + + while (blkCnt > 0U) + { + /* C = (q7_t) A >> 24 */ + /* convert from q31 to q7 and then store the results in the destination buffer */ + *pDst++ = (q7_t) (*pIn++ >> 24); + + /* Decrement the loop counter */ + blkCnt--; + } + +} + +/** + * @} end of q31_to_x group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_q7_to_float.c b/cdc-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_q7_to_float.c new file mode 100644 index 0000000..d866501 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_q7_to_float.c @@ -0,0 +1,119 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_q7_to_float.c + * Description: Converts the elements of the Q7 vector to floating-point vector + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupSupport + */ + +/** + * @defgroup q7_to_x Convert 8-bit Integer value + */ + +/** + * @addtogroup q7_to_x + * @{ + */ + +/** + * @brief Converts the elements of the Q7 vector to floating-point vector. + * @param[in] *pSrc points to the Q7 input vector + * @param[out] *pDst points to the floating-point output vector + * @param[in] blockSize length of the input vector + * @return none. + * + * \par Description: + * + * The equation used for the conversion process is: + * + *
+ * 	pDst[n] = (float32_t) pSrc[n] / 128;   0 <= n < blockSize.
+ * 
+ * + */ + + +void arm_q7_to_float( + q7_t * pSrc, + float32_t * pDst, + uint32_t blockSize) +{ + q7_t *pIn = pSrc; /* Src pointer */ + uint32_t blkCnt; /* loop counter */ + + +#if defined (ARM_MATH_DSP) + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + /*loop Unrolling */ + blkCnt = blockSize >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C = (float32_t) A / 128 */ + /* convert from q7 to float and then store the results in the destination buffer */ + *pDst++ = ((float32_t) * pIn++ / 128.0f); + *pDst++ = ((float32_t) * pIn++ / 128.0f); + *pDst++ = ((float32_t) * pIn++ / 128.0f); + *pDst++ = ((float32_t) * pIn++ / 128.0f); + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4U; + +#else + + /* Run the below code for Cortex-M0 */ + + /* Loop over blockSize number of values */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_DSP) */ + + while (blkCnt > 0U) + { + /* C = (float32_t) A / 128 */ + /* convert from q7 to float and then store the results in the destination buffer */ + *pDst++ = ((float32_t) * pIn++ / 128.0f); + + /* Decrement the loop counter */ + blkCnt--; + } +} + +/** + * @} end of q7_to_x group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_q7_to_q15.c b/cdc-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_q7_to_q15.c new file mode 100644 index 0000000..5bc5a56 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_q7_to_q15.c @@ -0,0 +1,145 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_q7_to_q15.c + * Description: Converts the elements of the Q7 vector to Q15 vector + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupSupport + */ + +/** + * @addtogroup q7_to_x + * @{ + */ + + + + +/** + * @brief Converts the elements of the Q7 vector to Q15 vector. + * @param[in] *pSrc points to the Q7 input vector + * @param[out] *pDst points to the Q15 output vector + * @param[in] blockSize length of the input vector + * @return none. + * + * \par Description: + * + * The equation used for the conversion process is: + * + *
+ * 	pDst[n] = (q15_t) pSrc[n] << 8;   0 <= n < blockSize.
+ * 
+ * + */ + + +void arm_q7_to_q15( + q7_t * pSrc, + q15_t * pDst, + uint32_t blockSize) +{ + q7_t *pIn = pSrc; /* Src pointer */ + uint32_t blkCnt; /* loop counter */ + +#if defined (ARM_MATH_DSP) + q31_t in; + q31_t in1, in2; + q31_t out1, out2; + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + /*loop Unrolling */ + blkCnt = blockSize >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C = (q15_t) A << 8 */ + /* convert from q7 to q15 and then store the results in the destination buffer */ + in = *__SIMD32(pIn)++; + + /* rotatate in by 8 and extend two q7_t values to q15_t values */ + in1 = __SXTB16(__ROR(in, 8)); + + /* extend remainig two q7_t values to q15_t values */ + in2 = __SXTB16(in); + + in1 = in1 << 8U; + in2 = in2 << 8U; + + in1 = in1 & 0xFF00FF00; + in2 = in2 & 0xFF00FF00; + +#ifndef ARM_MATH_BIG_ENDIAN + + out2 = __PKHTB(in1, in2, 16); + out1 = __PKHBT(in2, in1, 16); + +#else + + out1 = __PKHTB(in1, in2, 16); + out2 = __PKHBT(in2, in1, 16); + +#endif + + *__SIMD32(pDst)++ = out1; + *__SIMD32(pDst)++ = out2; + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4U; + +#else + + /* Run the below code for Cortex-M0 */ + + /* Loop over blockSize number of values */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_DSP) */ + + while (blkCnt > 0U) + { + /* C = (q15_t) A << 8 */ + /* convert from q7 to q15 and then store the results in the destination buffer */ + *pDst++ = (q15_t) * pIn++ << 8; + + /* Decrement the loop counter */ + blkCnt--; + } + +} + +/** + * @} end of q7_to_x group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_q7_to_q31.c b/cdc-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_q7_to_q31.c new file mode 100644 index 0000000..abbda7f --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_q7_to_q31.c @@ -0,0 +1,130 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_q7_to_q31.c + * Description: Converts the elements of the Q7 vector to Q31 vector + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupSupport + */ + +/** + * @addtogroup q7_to_x + * @{ + */ + +/** + * @brief Converts the elements of the Q7 vector to Q31 vector. + * @param[in] *pSrc points to the Q7 input vector + * @param[out] *pDst points to the Q31 output vector + * @param[in] blockSize length of the input vector + * @return none. + * + * \par Description: + * + * The equation used for the conversion process is: + * + *
+ * 	pDst[n] = (q31_t) pSrc[n] << 24;   0 <= n < blockSize.
+ * 
+ * + */ + + +void arm_q7_to_q31( + q7_t * pSrc, + q31_t * pDst, + uint32_t blockSize) +{ + q7_t *pIn = pSrc; /* Src pointer */ + uint32_t blkCnt; /* loop counter */ + +#if defined (ARM_MATH_DSP) + + q31_t in; + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + /*loop Unrolling */ + blkCnt = blockSize >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + while (blkCnt > 0U) + { + /* C = (q31_t) A << 24 */ + /* convert from q7 to q31 and then store the results in the destination buffer */ + in = *__SIMD32(pIn)++; + +#ifndef ARM_MATH_BIG_ENDIAN + + *pDst++ = (__ROR(in, 8)) & 0xFF000000; + *pDst++ = (__ROR(in, 16)) & 0xFF000000; + *pDst++ = (__ROR(in, 24)) & 0xFF000000; + *pDst++ = (in & 0xFF000000); + +#else + + *pDst++ = (in & 0xFF000000); + *pDst++ = (__ROR(in, 24)) & 0xFF000000; + *pDst++ = (__ROR(in, 16)) & 0xFF000000; + *pDst++ = (__ROR(in, 8)) & 0xFF000000; + +#endif // #ifndef ARM_MATH_BIG_ENDIAN + + /* Decrement the loop counter */ + blkCnt--; + } + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + blkCnt = blockSize % 0x4U; + +#else + + /* Run the below code for Cortex-M0 */ + + /* Loop over blockSize number of values */ + blkCnt = blockSize; + +#endif /* #if defined (ARM_MATH_DSP) */ + + while (blkCnt > 0U) + { + /* C = (q31_t) A << 24 */ + /* convert from q7 to q31 and then store the results in the destination buffer */ + *pDst++ = (q31_t) * pIn++ << 24; + + /* Decrement the loop counter */ + blkCnt--; + } + +} + +/** + * @} end of q7_to_x group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_bitreversal.c b/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_bitreversal.c new file mode 100644 index 0000000..3119769 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_bitreversal.c @@ -0,0 +1,230 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_bitreversal.c + * Description: Bitreversal functions + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include "arm_common_tables.h" + +/* +* @brief In-place bit reversal function. +* @param[in, out] *pSrc points to the in-place buffer of floating-point data type. +* @param[in] fftSize length of the FFT. +* @param[in] bitRevFactor bit reversal modifier that supports different size FFTs with the same bit reversal table. +* @param[in] *pBitRevTab points to the bit reversal table. +* @return none. +*/ + +void arm_bitreversal_f32( +float32_t * pSrc, +uint16_t fftSize, +uint16_t bitRevFactor, +uint16_t * pBitRevTab) +{ + uint16_t fftLenBy2, fftLenBy2p1; + uint16_t i, j; + float32_t in; + + /* Initializations */ + j = 0U; + fftLenBy2 = fftSize >> 1U; + fftLenBy2p1 = (fftSize >> 1U) + 1U; + + /* Bit Reversal Implementation */ + for (i = 0U; i <= (fftLenBy2 - 2U); i += 2U) + { + if (i < j) + { + /* pSrc[i] <-> pSrc[j]; */ + in = pSrc[2U * i]; + pSrc[2U * i] = pSrc[2U * j]; + pSrc[2U * j] = in; + + /* pSrc[i+1U] <-> pSrc[j+1U] */ + in = pSrc[(2U * i) + 1U]; + pSrc[(2U * i) + 1U] = pSrc[(2U * j) + 1U]; + pSrc[(2U * j) + 1U] = in; + + /* pSrc[i+fftLenBy2p1] <-> pSrc[j+fftLenBy2p1] */ + in = pSrc[2U * (i + fftLenBy2p1)]; + pSrc[2U * (i + fftLenBy2p1)] = pSrc[2U * (j + fftLenBy2p1)]; + pSrc[2U * (j + fftLenBy2p1)] = in; + + /* pSrc[i+fftLenBy2p1+1U] <-> pSrc[j+fftLenBy2p1+1U] */ + in = pSrc[(2U * (i + fftLenBy2p1)) + 1U]; + pSrc[(2U * (i + fftLenBy2p1)) + 1U] = + pSrc[(2U * (j + fftLenBy2p1)) + 1U]; + pSrc[(2U * (j + fftLenBy2p1)) + 1U] = in; + + } + + /* pSrc[i+1U] <-> pSrc[j+1U] */ + in = pSrc[2U * (i + 1U)]; + pSrc[2U * (i + 1U)] = pSrc[2U * (j + fftLenBy2)]; + pSrc[2U * (j + fftLenBy2)] = in; + + /* pSrc[i+2U] <-> pSrc[j+2U] */ + in = pSrc[(2U * (i + 1U)) + 1U]; + pSrc[(2U * (i + 1U)) + 1U] = pSrc[(2U * (j + fftLenBy2)) + 1U]; + pSrc[(2U * (j + fftLenBy2)) + 1U] = in; + + /* Reading the index for the bit reversal */ + j = *pBitRevTab; + + /* Updating the bit reversal index depending on the fft length */ + pBitRevTab += bitRevFactor; + } +} + + + +/* +* @brief In-place bit reversal function. +* @param[in, out] *pSrc points to the in-place buffer of Q31 data type. +* @param[in] fftLen length of the FFT. +* @param[in] bitRevFactor bit reversal modifier that supports different size FFTs with the same bit reversal table +* @param[in] *pBitRevTab points to bit reversal table. +* @return none. +*/ + +void arm_bitreversal_q31( +q31_t * pSrc, +uint32_t fftLen, +uint16_t bitRevFactor, +uint16_t * pBitRevTable) +{ + uint32_t fftLenBy2, fftLenBy2p1, i, j; + q31_t in; + + /* Initializations */ + j = 0U; + fftLenBy2 = fftLen / 2U; + fftLenBy2p1 = (fftLen / 2U) + 1U; + + /* Bit Reversal Implementation */ + for (i = 0U; i <= (fftLenBy2 - 2U); i += 2U) + { + if (i < j) + { + /* pSrc[i] <-> pSrc[j]; */ + in = pSrc[2U * i]; + pSrc[2U * i] = pSrc[2U * j]; + pSrc[2U * j] = in; + + /* pSrc[i+1U] <-> pSrc[j+1U] */ + in = pSrc[(2U * i) + 1U]; + pSrc[(2U * i) + 1U] = pSrc[(2U * j) + 1U]; + pSrc[(2U * j) + 1U] = in; + + /* pSrc[i+fftLenBy2p1] <-> pSrc[j+fftLenBy2p1] */ + in = pSrc[2U * (i + fftLenBy2p1)]; + pSrc[2U * (i + fftLenBy2p1)] = pSrc[2U * (j + fftLenBy2p1)]; + pSrc[2U * (j + fftLenBy2p1)] = in; + + /* pSrc[i+fftLenBy2p1+1U] <-> pSrc[j+fftLenBy2p1+1U] */ + in = pSrc[(2U * (i + fftLenBy2p1)) + 1U]; + pSrc[(2U * (i + fftLenBy2p1)) + 1U] = + pSrc[(2U * (j + fftLenBy2p1)) + 1U]; + pSrc[(2U * (j + fftLenBy2p1)) + 1U] = in; + + } + + /* pSrc[i+1U] <-> pSrc[j+1U] */ + in = pSrc[2U * (i + 1U)]; + pSrc[2U * (i + 1U)] = pSrc[2U * (j + fftLenBy2)]; + pSrc[2U * (j + fftLenBy2)] = in; + + /* pSrc[i+2U] <-> pSrc[j+2U] */ + in = pSrc[(2U * (i + 1U)) + 1U]; + pSrc[(2U * (i + 1U)) + 1U] = pSrc[(2U * (j + fftLenBy2)) + 1U]; + pSrc[(2U * (j + fftLenBy2)) + 1U] = in; + + /* Reading the index for the bit reversal */ + j = *pBitRevTable; + + /* Updating the bit reversal index depending on the fft length */ + pBitRevTable += bitRevFactor; + } +} + + + +/* + * @brief In-place bit reversal function. + * @param[in, out] *pSrc points to the in-place buffer of Q15 data type. + * @param[in] fftLen length of the FFT. + * @param[in] bitRevFactor bit reversal modifier that supports different size FFTs with the same bit reversal table + * @param[in] *pBitRevTab points to bit reversal table. + * @return none. +*/ + +void arm_bitreversal_q15( +q15_t * pSrc16, +uint32_t fftLen, +uint16_t bitRevFactor, +uint16_t * pBitRevTab) +{ + q31_t *pSrc = (q31_t *) pSrc16; + q31_t in; + uint32_t fftLenBy2, fftLenBy2p1; + uint32_t i, j; + + /* Initializations */ + j = 0U; + fftLenBy2 = fftLen / 2U; + fftLenBy2p1 = (fftLen / 2U) + 1U; + + /* Bit Reversal Implementation */ + for (i = 0U; i <= (fftLenBy2 - 2U); i += 2U) + { + if (i < j) + { + /* pSrc[i] <-> pSrc[j]; */ + /* pSrc[i+1U] <-> pSrc[j+1U] */ + in = pSrc[i]; + pSrc[i] = pSrc[j]; + pSrc[j] = in; + + /* pSrc[i + fftLenBy2p1] <-> pSrc[j + fftLenBy2p1]; */ + /* pSrc[i + fftLenBy2p1+1U] <-> pSrc[j + fftLenBy2p1+1U] */ + in = pSrc[i + fftLenBy2p1]; + pSrc[i + fftLenBy2p1] = pSrc[j + fftLenBy2p1]; + pSrc[j + fftLenBy2p1] = in; + } + + /* pSrc[i+1U] <-> pSrc[j+fftLenBy2]; */ + /* pSrc[i+2] <-> pSrc[j+fftLenBy2+1U] */ + in = pSrc[i + 1U]; + pSrc[i + 1U] = pSrc[j + fftLenBy2]; + pSrc[j + fftLenBy2] = in; + + /* Reading the index for the bit reversal */ + j = *pBitRevTab; + + /* Updating the bit reversal index depending on the fft length */ + pBitRevTab += bitRevFactor; + } +} diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_bitreversal2.S b/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_bitreversal2.S new file mode 100644 index 0000000..cde264c --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_bitreversal2.S @@ -0,0 +1,216 @@ +;/* ---------------------------------------------------------------------- +; * Project: CMSIS DSP Library +; * Title: arm_bitreversal2.S +; * Description: arm_bitreversal_32 function done in assembly for maximum speed. +; * Called after doing an fft to reorder the output. +; * The function is loop unrolled by 2. arm_bitreversal_16 as well. +; * +; * $Date: 27. January 2017 +; * $Revision: V.1.5.1 +; * +; * Target Processor: Cortex-M cores +; * -------------------------------------------------------------------- */ +;/* +; * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. +; * +; * SPDX-License-Identifier: Apache-2.0 +; * +; * Licensed under the Apache License, Version 2.0 (the License); you may +; * not use this file except in compliance with the License. +; * You may obtain a copy of the License at +; * +; * www.apache.org/licenses/LICENSE-2.0 +; * +; * Unless required by applicable law or agreed to in writing, software +; * distributed under the License is distributed on an AS IS BASIS, WITHOUT +; * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +; * See the License for the specific language governing permissions and +; * limitations under the License. +; */ + +#if defined ( __CC_ARM ) /* Keil */ + #define CODESECT AREA ||.text||, CODE, READONLY, ALIGN=2 + #define LABEL +#elif defined ( __IASMARM__ ) /* IAR */ + #define CODESECT SECTION `.text`:CODE + #define PROC + #define LABEL + #define ENDP + #define EXPORT PUBLIC +#elif defined ( __CSMC__ ) /* Cosmic */ + #define CODESECT switch .text + #define THUMB + #define EXPORT xdef + #define PROC : + #define LABEL : + #define ENDP + #define arm_bitreversal_32 _arm_bitreversal_32 +#elif defined ( __TI_ARM__ ) /* TI ARM */ + #define THUMB .thumb + #define CODESECT .text + #define EXPORT .global + #define PROC : .asmfunc + #define LABEL : + #define ENDP .endasmfunc + #define END +#elif defined ( __GNUC__ ) /* GCC */ + #define THUMB .thumb + #define CODESECT .section .text + #define EXPORT .global + #define PROC : + #define LABEL : + #define ENDP + #define END + + .syntax unified +#endif + + CODESECT + THUMB + +;/* +;* @brief In-place bit reversal function. +;* @param[in, out] *pSrc points to the in-place buffer of unknown 32-bit data type. +;* @param[in] bitRevLen bit reversal table length +;* @param[in] *pBitRevTab points to bit reversal table. +;* @return none. +;*/ + EXPORT arm_bitreversal_32 + EXPORT arm_bitreversal_16 + +#if defined ( __CC_ARM ) /* Keil */ +#elif defined ( __IASMARM__ ) /* IAR */ +#elif defined ( __CSMC__ ) /* Cosmic */ +#elif defined ( __TI_ARM__ ) /* TI ARM */ +#elif defined ( __GNUC__ ) /* GCC */ + .type arm_bitreversal_16, %function + .type arm_bitreversal_32, %function +#endif + +#if defined(ARM_MATH_CM0) || defined(ARM_MATH_CM0PLUS) || defined(ARM_MATH_ARMV8MBL) + +arm_bitreversal_32 PROC + ADDS r3,r1,#1 + PUSH {r4-r6} + ADDS r1,r2,#0 + LSRS r3,r3,#1 +arm_bitreversal_32_0 LABEL + LDRH r2,[r1,#2] + LDRH r6,[r1,#0] + ADD r2,r0,r2 + ADD r6,r0,r6 + LDR r5,[r2,#0] + LDR r4,[r6,#0] + STR r5,[r6,#0] + STR r4,[r2,#0] + LDR r5,[r2,#4] + LDR r4,[r6,#4] + STR r5,[r6,#4] + STR r4,[r2,#4] + ADDS r1,r1,#4 + SUBS r3,r3,#1 + BNE arm_bitreversal_32_0 + POP {r4-r6} + BX lr + ENDP + +arm_bitreversal_16 PROC + ADDS r3,r1,#1 + PUSH {r4-r6} + ADDS r1,r2,#0 + LSRS r3,r3,#1 +arm_bitreversal_16_0 LABEL + LDRH r2,[r1,#2] + LDRH r6,[r1,#0] + LSRS r2,r2,#1 + LSRS r6,r6,#1 + ADD r2,r0,r2 + ADD r6,r0,r6 + LDR r5,[r2,#0] + LDR r4,[r6,#0] + STR r5,[r6,#0] + STR r4,[r2,#0] + ADDS r1,r1,#4 + SUBS r3,r3,#1 + BNE arm_bitreversal_16_0 + POP {r4-r6} + BX lr + ENDP + +#else + +arm_bitreversal_32 PROC + ADDS r3,r1,#1 + CMP r3,#1 + IT LS + BXLS lr + PUSH {r4-r9} + ADDS r1,r2,#2 + LSRS r3,r3,#2 +arm_bitreversal_32_0 LABEL ;/* loop unrolled by 2 */ + LDRH r8,[r1,#4] + LDRH r9,[r1,#2] + LDRH r2,[r1,#0] + LDRH r12,[r1,#-2] + ADD r8,r0,r8 + ADD r9,r0,r9 + ADD r2,r0,r2 + ADD r12,r0,r12 + LDR r7,[r9,#0] + LDR r6,[r8,#0] + LDR r5,[r2,#0] + LDR r4,[r12,#0] + STR r6,[r9,#0] + STR r7,[r8,#0] + STR r5,[r12,#0] + STR r4,[r2,#0] + LDR r7,[r9,#4] + LDR r6,[r8,#4] + LDR r5,[r2,#4] + LDR r4,[r12,#4] + STR r6,[r9,#4] + STR r7,[r8,#4] + STR r5,[r12,#4] + STR r4,[r2,#4] + ADDS r1,r1,#8 + SUBS r3,r3,#1 + BNE arm_bitreversal_32_0 + POP {r4-r9} + BX lr + ENDP + +arm_bitreversal_16 PROC + ADDS r3,r1,#1 + CMP r3,#1 + IT LS + BXLS lr + PUSH {r4-r9} + ADDS r1,r2,#2 + LSRS r3,r3,#2 +arm_bitreversal_16_0 LABEL ;/* loop unrolled by 2 */ + LDRH r8,[r1,#4] + LDRH r9,[r1,#2] + LDRH r2,[r1,#0] + LDRH r12,[r1,#-2] + ADD r8,r0,r8,LSR #1 + ADD r9,r0,r9,LSR #1 + ADD r2,r0,r2,LSR #1 + ADD r12,r0,r12,LSR #1 + LDR r7,[r9,#0] + LDR r6,[r8,#0] + LDR r5,[r2,#0] + LDR r4,[r12,#0] + STR r6,[r9,#0] + STR r7,[r8,#0] + STR r5,[r12,#0] + STR r4,[r2,#0] + ADDS r1,r1,#8 + SUBS r3,r3,#1 + BNE arm_bitreversal_16_0 + POP {r4-r9} + BX lr + ENDP + +#endif + + END diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_f32.c b/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_f32.c new file mode 100644 index 0000000..2593202 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_f32.c @@ -0,0 +1,620 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_cfft_f32.c + * Description: Combined Radix Decimation in Frequency CFFT Floating point processing function + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include "arm_common_tables.h" + +extern void arm_radix8_butterfly_f32( + float32_t * pSrc, + uint16_t fftLen, + const float32_t * pCoef, + uint16_t twidCoefModifier); + +extern void arm_bitreversal_32( + uint32_t * pSrc, + const uint16_t bitRevLen, + const uint16_t * pBitRevTable); + +/** +* @ingroup groupTransforms +*/ + +/** +* @defgroup ComplexFFT Complex FFT Functions +* +* \par +* The Fast Fourier Transform (FFT) is an efficient algorithm for computing the +* Discrete Fourier Transform (DFT). The FFT can be orders of magnitude faster +* than the DFT, especially for long lengths. +* The algorithms described in this section +* operate on complex data. A separate set of functions is devoted to handling +* of real sequences. +* \par +* There are separate algorithms for handling floating-point, Q15, and Q31 data +* types. The algorithms available for each data type are described next. +* \par +* The FFT functions operate in-place. That is, the array holding the input data +* will also be used to hold the corresponding result. The input data is complex +* and contains 2*fftLen interleaved values as shown below. +*
 {real[0], imag[0], real[1], imag[1],..} 
+* The FFT result will be contained in the same array and the frequency domain +* values will have the same interleaving. +* +* \par Floating-point +* The floating-point complex FFT uses a mixed-radix algorithm. Multiple radix-8 +* stages are performed along with a single radix-2 or radix-4 stage, as needed. +* The algorithm supports lengths of [16, 32, 64, ..., 4096] and each length uses +* a different twiddle factor table. +* \par +* The function uses the standard FFT definition and output values may grow by a +* factor of fftLen when computing the forward transform. The +* inverse transform includes a scale of 1/fftLen as part of the +* calculation and this matches the textbook definition of the inverse FFT. +* \par +* Pre-initialized data structures containing twiddle factors and bit reversal +* tables are provided and defined in arm_const_structs.h. Include +* this header in your function and then pass one of the constant structures as +* an argument to arm_cfft_f32. For example: +* \par +* arm_cfft_f32(arm_cfft_sR_f32_len64, pSrc, 1, 1) +* \par +* computes a 64-point inverse complex FFT including bit reversal. +* The data structures are treated as constant data and not modified during the +* calculation. The same data structure can be reused for multiple transforms +* including mixing forward and inverse transforms. +* \par +* Earlier releases of the library provided separate radix-2 and radix-4 +* algorithms that operated on floating-point data. These functions are still +* provided but are deprecated. The older functions are slower and less general +* than the new functions. +* \par +* An example of initialization of the constants for the arm_cfft_f32 function follows: +* \code +* const static arm_cfft_instance_f32 *S; +* ... +* switch (length) { +* case 16: +* S = &arm_cfft_sR_f32_len16; +* break; +* case 32: +* S = &arm_cfft_sR_f32_len32; +* break; +* case 64: +* S = &arm_cfft_sR_f32_len64; +* break; +* case 128: +* S = &arm_cfft_sR_f32_len128; +* break; +* case 256: +* S = &arm_cfft_sR_f32_len256; +* break; +* case 512: +* S = &arm_cfft_sR_f32_len512; +* break; +* case 1024: +* S = &arm_cfft_sR_f32_len1024; +* break; +* case 2048: +* S = &arm_cfft_sR_f32_len2048; +* break; +* case 4096: +* S = &arm_cfft_sR_f32_len4096; +* break; +* } +* \endcode +* \par Q15 and Q31 +* The floating-point complex FFT uses a mixed-radix algorithm. Multiple radix-4 +* stages are performed along with a single radix-2 stage, as needed. +* The algorithm supports lengths of [16, 32, 64, ..., 4096] and each length uses +* a different twiddle factor table. +* \par +* The function uses the standard FFT definition and output values may grow by a +* factor of fftLen when computing the forward transform. The +* inverse transform includes a scale of 1/fftLen as part of the +* calculation and this matches the textbook definition of the inverse FFT. +* \par +* Pre-initialized data structures containing twiddle factors and bit reversal +* tables are provided and defined in arm_const_structs.h. Include +* this header in your function and then pass one of the constant structures as +* an argument to arm_cfft_q31. For example: +* \par +* arm_cfft_q31(arm_cfft_sR_q31_len64, pSrc, 1, 1) +* \par +* computes a 64-point inverse complex FFT including bit reversal. +* The data structures are treated as constant data and not modified during the +* calculation. The same data structure can be reused for multiple transforms +* including mixing forward and inverse transforms. +* \par +* Earlier releases of the library provided separate radix-2 and radix-4 +* algorithms that operated on floating-point data. These functions are still +* provided but are deprecated. The older functions are slower and less general +* than the new functions. +* \par +* An example of initialization of the constants for the arm_cfft_q31 function follows: +* \code +* const static arm_cfft_instance_q31 *S; +* ... +* switch (length) { +* case 16: +* S = &arm_cfft_sR_q31_len16; +* break; +* case 32: +* S = &arm_cfft_sR_q31_len32; +* break; +* case 64: +* S = &arm_cfft_sR_q31_len64; +* break; +* case 128: +* S = &arm_cfft_sR_q31_len128; +* break; +* case 256: +* S = &arm_cfft_sR_q31_len256; +* break; +* case 512: +* S = &arm_cfft_sR_q31_len512; +* break; +* case 1024: +* S = &arm_cfft_sR_q31_len1024; +* break; +* case 2048: +* S = &arm_cfft_sR_q31_len2048; +* break; +* case 4096: +* S = &arm_cfft_sR_q31_len4096; +* break; +* } +* \endcode +* +*/ + +void arm_cfft_radix8by2_f32( arm_cfft_instance_f32 * S, float32_t * p1) +{ + uint32_t L = S->fftLen; + float32_t * pCol1, * pCol2, * pMid1, * pMid2; + float32_t * p2 = p1 + L; + const float32_t * tw = (float32_t *) S->pTwiddle; + float32_t t1[4], t2[4], t3[4], t4[4], twR, twI; + float32_t m0, m1, m2, m3; + uint32_t l; + + pCol1 = p1; + pCol2 = p2; + + // Define new length + L >>= 1; + // Initialize mid pointers + pMid1 = p1 + L; + pMid2 = p2 + L; + + // do two dot Fourier transform + for ( l = L >> 2; l > 0; l-- ) + { + t1[0] = p1[0]; + t1[1] = p1[1]; + t1[2] = p1[2]; + t1[3] = p1[3]; + + t2[0] = p2[0]; + t2[1] = p2[1]; + t2[2] = p2[2]; + t2[3] = p2[3]; + + t3[0] = pMid1[0]; + t3[1] = pMid1[1]; + t3[2] = pMid1[2]; + t3[3] = pMid1[3]; + + t4[0] = pMid2[0]; + t4[1] = pMid2[1]; + t4[2] = pMid2[2]; + t4[3] = pMid2[3]; + + *p1++ = t1[0] + t2[0]; + *p1++ = t1[1] + t2[1]; + *p1++ = t1[2] + t2[2]; + *p1++ = t1[3] + t2[3]; // col 1 + + t2[0] = t1[0] - t2[0]; + t2[1] = t1[1] - t2[1]; + t2[2] = t1[2] - t2[2]; + t2[3] = t1[3] - t2[3]; // for col 2 + + *pMid1++ = t3[0] + t4[0]; + *pMid1++ = t3[1] + t4[1]; + *pMid1++ = t3[2] + t4[2]; + *pMid1++ = t3[3] + t4[3]; // col 1 + + t4[0] = t4[0] - t3[0]; + t4[1] = t4[1] - t3[1]; + t4[2] = t4[2] - t3[2]; + t4[3] = t4[3] - t3[3]; // for col 2 + + twR = *tw++; + twI = *tw++; + + // multiply by twiddle factors + m0 = t2[0] * twR; + m1 = t2[1] * twI; + m2 = t2[1] * twR; + m3 = t2[0] * twI; + + // R = R * Tr - I * Ti + *p2++ = m0 + m1; + // I = I * Tr + R * Ti + *p2++ = m2 - m3; + + // use vertical symmetry + // 0.9988 - 0.0491i <==> -0.0491 - 0.9988i + m0 = t4[0] * twI; + m1 = t4[1] * twR; + m2 = t4[1] * twI; + m3 = t4[0] * twR; + + *pMid2++ = m0 - m1; + *pMid2++ = m2 + m3; + + twR = *tw++; + twI = *tw++; + + m0 = t2[2] * twR; + m1 = t2[3] * twI; + m2 = t2[3] * twR; + m3 = t2[2] * twI; + + *p2++ = m0 + m1; + *p2++ = m2 - m3; + + m0 = t4[2] * twI; + m1 = t4[3] * twR; + m2 = t4[3] * twI; + m3 = t4[2] * twR; + + *pMid2++ = m0 - m1; + *pMid2++ = m2 + m3; + } + + // first col + arm_radix8_butterfly_f32( pCol1, L, (float32_t *) S->pTwiddle, 2U); + // second col + arm_radix8_butterfly_f32( pCol2, L, (float32_t *) S->pTwiddle, 2U); +} + +void arm_cfft_radix8by4_f32( arm_cfft_instance_f32 * S, float32_t * p1) +{ + uint32_t L = S->fftLen >> 1; + float32_t * pCol1, *pCol2, *pCol3, *pCol4, *pEnd1, *pEnd2, *pEnd3, *pEnd4; + const float32_t *tw2, *tw3, *tw4; + float32_t * p2 = p1 + L; + float32_t * p3 = p2 + L; + float32_t * p4 = p3 + L; + float32_t t2[4], t3[4], t4[4], twR, twI; + float32_t p1ap3_0, p1sp3_0, p1ap3_1, p1sp3_1; + float32_t m0, m1, m2, m3; + uint32_t l, twMod2, twMod3, twMod4; + + pCol1 = p1; // points to real values by default + pCol2 = p2; + pCol3 = p3; + pCol4 = p4; + pEnd1 = p2 - 1; // points to imaginary values by default + pEnd2 = p3 - 1; + pEnd3 = p4 - 1; + pEnd4 = pEnd3 + L; + + tw2 = tw3 = tw4 = (float32_t *) S->pTwiddle; + + L >>= 1; + + // do four dot Fourier transform + + twMod2 = 2; + twMod3 = 4; + twMod4 = 6; + + // TOP + p1ap3_0 = p1[0] + p3[0]; + p1sp3_0 = p1[0] - p3[0]; + p1ap3_1 = p1[1] + p3[1]; + p1sp3_1 = p1[1] - p3[1]; + + // col 2 + t2[0] = p1sp3_0 + p2[1] - p4[1]; + t2[1] = p1sp3_1 - p2[0] + p4[0]; + // col 3 + t3[0] = p1ap3_0 - p2[0] - p4[0]; + t3[1] = p1ap3_1 - p2[1] - p4[1]; + // col 4 + t4[0] = p1sp3_0 - p2[1] + p4[1]; + t4[1] = p1sp3_1 + p2[0] - p4[0]; + // col 1 + *p1++ = p1ap3_0 + p2[0] + p4[0]; + *p1++ = p1ap3_1 + p2[1] + p4[1]; + + // Twiddle factors are ones + *p2++ = t2[0]; + *p2++ = t2[1]; + *p3++ = t3[0]; + *p3++ = t3[1]; + *p4++ = t4[0]; + *p4++ = t4[1]; + + tw2 += twMod2; + tw3 += twMod3; + tw4 += twMod4; + + for (l = (L - 2) >> 1; l > 0; l-- ) + { + // TOP + p1ap3_0 = p1[0] + p3[0]; + p1sp3_0 = p1[0] - p3[0]; + p1ap3_1 = p1[1] + p3[1]; + p1sp3_1 = p1[1] - p3[1]; + // col 2 + t2[0] = p1sp3_0 + p2[1] - p4[1]; + t2[1] = p1sp3_1 - p2[0] + p4[0]; + // col 3 + t3[0] = p1ap3_0 - p2[0] - p4[0]; + t3[1] = p1ap3_1 - p2[1] - p4[1]; + // col 4 + t4[0] = p1sp3_0 - p2[1] + p4[1]; + t4[1] = p1sp3_1 + p2[0] - p4[0]; + // col 1 - top + *p1++ = p1ap3_0 + p2[0] + p4[0]; + *p1++ = p1ap3_1 + p2[1] + p4[1]; + + // BOTTOM + p1ap3_1 = pEnd1[-1] + pEnd3[-1]; + p1sp3_1 = pEnd1[-1] - pEnd3[-1]; + p1ap3_0 = pEnd1[0] + pEnd3[0]; + p1sp3_0 = pEnd1[0] - pEnd3[0]; + // col 2 + t2[2] = pEnd2[0] - pEnd4[0] + p1sp3_1; + t2[3] = pEnd1[0] - pEnd3[0] - pEnd2[-1] + pEnd4[-1]; + // col 3 + t3[2] = p1ap3_1 - pEnd2[-1] - pEnd4[-1]; + t3[3] = p1ap3_0 - pEnd2[0] - pEnd4[0]; + // col 4 + t4[2] = pEnd2[0] - pEnd4[0] - p1sp3_1; + t4[3] = pEnd4[-1] - pEnd2[-1] - p1sp3_0; + // col 1 - Bottom + *pEnd1-- = p1ap3_0 + pEnd2[0] + pEnd4[0]; + *pEnd1-- = p1ap3_1 + pEnd2[-1] + pEnd4[-1]; + + // COL 2 + // read twiddle factors + twR = *tw2++; + twI = *tw2++; + // multiply by twiddle factors + // let Z1 = a + i(b), Z2 = c + i(d) + // => Z1 * Z2 = (a*c - b*d) + i(b*c + a*d) + + // Top + m0 = t2[0] * twR; + m1 = t2[1] * twI; + m2 = t2[1] * twR; + m3 = t2[0] * twI; + + *p2++ = m0 + m1; + *p2++ = m2 - m3; + // use vertical symmetry col 2 + // 0.9997 - 0.0245i <==> 0.0245 - 0.9997i + // Bottom + m0 = t2[3] * twI; + m1 = t2[2] * twR; + m2 = t2[2] * twI; + m3 = t2[3] * twR; + + *pEnd2-- = m0 - m1; + *pEnd2-- = m2 + m3; + + // COL 3 + twR = tw3[0]; + twI = tw3[1]; + tw3 += twMod3; + // Top + m0 = t3[0] * twR; + m1 = t3[1] * twI; + m2 = t3[1] * twR; + m3 = t3[0] * twI; + + *p3++ = m0 + m1; + *p3++ = m2 - m3; + // use vertical symmetry col 3 + // 0.9988 - 0.0491i <==> -0.9988 - 0.0491i + // Bottom + m0 = -t3[3] * twR; + m1 = t3[2] * twI; + m2 = t3[2] * twR; + m3 = t3[3] * twI; + + *pEnd3-- = m0 - m1; + *pEnd3-- = m3 - m2; + + // COL 4 + twR = tw4[0]; + twI = tw4[1]; + tw4 += twMod4; + // Top + m0 = t4[0] * twR; + m1 = t4[1] * twI; + m2 = t4[1] * twR; + m3 = t4[0] * twI; + + *p4++ = m0 + m1; + *p4++ = m2 - m3; + // use vertical symmetry col 4 + // 0.9973 - 0.0736i <==> -0.0736 + 0.9973i + // Bottom + m0 = t4[3] * twI; + m1 = t4[2] * twR; + m2 = t4[2] * twI; + m3 = t4[3] * twR; + + *pEnd4-- = m0 - m1; + *pEnd4-- = m2 + m3; + } + + //MIDDLE + // Twiddle factors are + // 1.0000 0.7071-0.7071i -1.0000i -0.7071-0.7071i + p1ap3_0 = p1[0] + p3[0]; + p1sp3_0 = p1[0] - p3[0]; + p1ap3_1 = p1[1] + p3[1]; + p1sp3_1 = p1[1] - p3[1]; + + // col 2 + t2[0] = p1sp3_0 + p2[1] - p4[1]; + t2[1] = p1sp3_1 - p2[0] + p4[0]; + // col 3 + t3[0] = p1ap3_0 - p2[0] - p4[0]; + t3[1] = p1ap3_1 - p2[1] - p4[1]; + // col 4 + t4[0] = p1sp3_0 - p2[1] + p4[1]; + t4[1] = p1sp3_1 + p2[0] - p4[0]; + // col 1 - Top + *p1++ = p1ap3_0 + p2[0] + p4[0]; + *p1++ = p1ap3_1 + p2[1] + p4[1]; + + // COL 2 + twR = tw2[0]; + twI = tw2[1]; + + m0 = t2[0] * twR; + m1 = t2[1] * twI; + m2 = t2[1] * twR; + m3 = t2[0] * twI; + + *p2++ = m0 + m1; + *p2++ = m2 - m3; + // COL 3 + twR = tw3[0]; + twI = tw3[1]; + + m0 = t3[0] * twR; + m1 = t3[1] * twI; + m2 = t3[1] * twR; + m3 = t3[0] * twI; + + *p3++ = m0 + m1; + *p3++ = m2 - m3; + // COL 4 + twR = tw4[0]; + twI = tw4[1]; + + m0 = t4[0] * twR; + m1 = t4[1] * twI; + m2 = t4[1] * twR; + m3 = t4[0] * twI; + + *p4++ = m0 + m1; + *p4++ = m2 - m3; + + // first col + arm_radix8_butterfly_f32( pCol1, L, (float32_t *) S->pTwiddle, 4U); + // second col + arm_radix8_butterfly_f32( pCol2, L, (float32_t *) S->pTwiddle, 4U); + // third col + arm_radix8_butterfly_f32( pCol3, L, (float32_t *) S->pTwiddle, 4U); + // fourth col + arm_radix8_butterfly_f32( pCol4, L, (float32_t *) S->pTwiddle, 4U); +} + +/** +* @addtogroup ComplexFFT +* @{ +*/ + +/** +* @details +* @brief Processing function for the floating-point complex FFT. +* @param[in] *S points to an instance of the floating-point CFFT structure. +* @param[in, out] *p1 points to the complex data buffer of size 2*fftLen. Processing occurs in-place. +* @param[in] ifftFlag flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. +* @param[in] bitReverseFlag flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. +* @return none. +*/ + +void arm_cfft_f32( + const arm_cfft_instance_f32 * S, + float32_t * p1, + uint8_t ifftFlag, + uint8_t bitReverseFlag) +{ + uint32_t L = S->fftLen, l; + float32_t invL, * pSrc; + + if (ifftFlag == 1U) + { + /* Conjugate input data */ + pSrc = p1 + 1; + for(l=0; lpTwiddle, 1); + break; + } + + if ( bitReverseFlag ) + arm_bitreversal_32((uint32_t*)p1,S->bitRevLength,S->pBitRevTable); + + if (ifftFlag == 1U) + { + invL = 1.0f/(float32_t)L; + /* Conjugate and scale output data */ + pSrc = p1; + for(l=0; l2*fftLen. Processing occurs in-place. +* @param[in] ifftFlag flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. +* @param[in] bitReverseFlag flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. +* @return none. +*/ + +void arm_cfft_q15( + const arm_cfft_instance_q15 * S, + q15_t * p1, + uint8_t ifftFlag, + uint8_t bitReverseFlag) +{ + uint32_t L = S->fftLen; + + if (ifftFlag == 1U) + { + switch (L) + { + case 16: + case 64: + case 256: + case 1024: + case 4096: + arm_radix4_butterfly_inverse_q15 ( p1, L, (q15_t*)S->pTwiddle, 1 ); + break; + + case 32: + case 128: + case 512: + case 2048: + arm_cfft_radix4by2_inverse_q15 ( p1, L, S->pTwiddle ); + break; + } + } + else + { + switch (L) + { + case 16: + case 64: + case 256: + case 1024: + case 4096: + arm_radix4_butterfly_q15 ( p1, L, (q15_t*)S->pTwiddle, 1 ); + break; + + case 32: + case 128: + case 512: + case 2048: + arm_cfft_radix4by2_q15 ( p1, L, S->pTwiddle ); + break; + } + } + + if ( bitReverseFlag ) + arm_bitreversal_16((uint16_t*)p1,S->bitRevLength,S->pBitRevTable); +} + +/** +* @} end of ComplexFFT group +*/ + +void arm_cfft_radix4by2_q15( + q15_t * pSrc, + uint32_t fftLen, + const q15_t * pCoef) +{ + uint32_t i; + uint32_t n2; + q15_t p0, p1, p2, p3; +#if defined (ARM_MATH_DSP) + q31_t T, S, R; + q31_t coeff, out1, out2; + const q15_t *pC = pCoef; + q15_t *pSi = pSrc; + q15_t *pSl = pSrc + fftLen; +#else + uint32_t ia, l; + q15_t xt, yt, cosVal, sinVal; +#endif + + n2 = fftLen >> 1; + +#if defined (ARM_MATH_DSP) + + for (i = n2; i > 0; i--) + { + coeff = _SIMD32_OFFSET(pC); + pC += 2; + + T = _SIMD32_OFFSET(pSi); + T = __SHADD16(T, 0); // this is just a SIMD arithmetic shift right by 1 + + S = _SIMD32_OFFSET(pSl); + S = __SHADD16(S, 0); // this is just a SIMD arithmetic shift right by 1 + + R = __QSUB16(T, S); + + _SIMD32_OFFSET(pSi) = __SHADD16(T, S); + pSi += 2; + + #ifndef ARM_MATH_BIG_ENDIAN + + out1 = __SMUAD(coeff, R) >> 16; + out2 = __SMUSDX(coeff, R); + + #else + + out1 = __SMUSDX(R, coeff) >> 16U; + out2 = __SMUAD(coeff, R); + + #endif // #ifndef ARM_MATH_BIG_ENDIAN + + _SIMD32_OFFSET(pSl) = + (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF); + pSl += 2; + } + +#else // #if defined (ARM_MATH_DSP) + + ia = 0; + for (i = 0; i < n2; i++) + { + cosVal = pCoef[ia * 2]; + sinVal = pCoef[(ia * 2) + 1]; + ia++; + + l = i + n2; + + xt = (pSrc[2 * i] >> 1U) - (pSrc[2 * l] >> 1U); + pSrc[2 * i] = ((pSrc[2 * i] >> 1U) + (pSrc[2 * l] >> 1U)) >> 1U; + + yt = (pSrc[2 * i + 1] >> 1U) - (pSrc[2 * l + 1] >> 1U); + pSrc[2 * i + 1] = + ((pSrc[2 * l + 1] >> 1U) + (pSrc[2 * i + 1] >> 1U)) >> 1U; + + pSrc[2U * l] = (((int16_t) (((q31_t) xt * cosVal) >> 16)) + + ((int16_t) (((q31_t) yt * sinVal) >> 16))); + + pSrc[2U * l + 1U] = (((int16_t) (((q31_t) yt * cosVal) >> 16)) - + ((int16_t) (((q31_t) xt * sinVal) >> 16))); + } + +#endif // #if defined (ARM_MATH_DSP) + + // first col + arm_radix4_butterfly_q15( pSrc, n2, (q15_t*)pCoef, 2U); + // second col + arm_radix4_butterfly_q15( pSrc + fftLen, n2, (q15_t*)pCoef, 2U); + + for (i = 0; i < fftLen >> 1; i++) + { + p0 = pSrc[4*i+0]; + p1 = pSrc[4*i+1]; + p2 = pSrc[4*i+2]; + p3 = pSrc[4*i+3]; + + p0 <<= 1; + p1 <<= 1; + p2 <<= 1; + p3 <<= 1; + + pSrc[4*i+0] = p0; + pSrc[4*i+1] = p1; + pSrc[4*i+2] = p2; + pSrc[4*i+3] = p3; + } +} + +void arm_cfft_radix4by2_inverse_q15( + q15_t * pSrc, + uint32_t fftLen, + const q15_t * pCoef) +{ + uint32_t i; + uint32_t n2; + q15_t p0, p1, p2, p3; +#if defined (ARM_MATH_DSP) + q31_t T, S, R; + q31_t coeff, out1, out2; + const q15_t *pC = pCoef; + q15_t *pSi = pSrc; + q15_t *pSl = pSrc + fftLen; +#else + uint32_t ia, l; + q15_t xt, yt, cosVal, sinVal; +#endif + + n2 = fftLen >> 1; + +#if defined (ARM_MATH_DSP) + + for (i = n2; i > 0; i--) + { + coeff = _SIMD32_OFFSET(pC); + pC += 2; + + T = _SIMD32_OFFSET(pSi); + T = __SHADD16(T, 0); // this is just a SIMD arithmetic shift right by 1 + + S = _SIMD32_OFFSET(pSl); + S = __SHADD16(S, 0); // this is just a SIMD arithmetic shift right by 1 + + R = __QSUB16(T, S); + + _SIMD32_OFFSET(pSi) = __SHADD16(T, S); + pSi += 2; + + #ifndef ARM_MATH_BIG_ENDIAN + + out1 = __SMUSD(coeff, R) >> 16; + out2 = __SMUADX(coeff, R); + #else + + out1 = __SMUADX(R, coeff) >> 16U; + out2 = __SMUSD(__QSUB(0, coeff), R); + + #endif // #ifndef ARM_MATH_BIG_ENDIAN + + _SIMD32_OFFSET(pSl) = + (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF); + pSl += 2; + } + +#else // #if defined (ARM_MATH_DSP) + + ia = 0; + for (i = 0; i < n2; i++) + { + cosVal = pCoef[ia * 2]; + sinVal = pCoef[(ia * 2) + 1]; + ia++; + + l = i + n2; + xt = (pSrc[2 * i] >> 1U) - (pSrc[2 * l] >> 1U); + pSrc[2 * i] = ((pSrc[2 * i] >> 1U) + (pSrc[2 * l] >> 1U)) >> 1U; + + yt = (pSrc[2 * i + 1] >> 1U) - (pSrc[2 * l + 1] >> 1U); + pSrc[2 * i + 1] = + ((pSrc[2 * l + 1] >> 1U) + (pSrc[2 * i + 1] >> 1U)) >> 1U; + + pSrc[2U * l] = (((int16_t) (((q31_t) xt * cosVal) >> 16)) - + ((int16_t) (((q31_t) yt * sinVal) >> 16))); + + pSrc[2U * l + 1U] = (((int16_t) (((q31_t) yt * cosVal) >> 16)) + + ((int16_t) (((q31_t) xt * sinVal) >> 16))); + } + +#endif // #if defined (ARM_MATH_DSP) + + // first col + arm_radix4_butterfly_inverse_q15( pSrc, n2, (q15_t*)pCoef, 2U); + // second col + arm_radix4_butterfly_inverse_q15( pSrc + fftLen, n2, (q15_t*)pCoef, 2U); + + for (i = 0; i < fftLen >> 1; i++) + { + p0 = pSrc[4*i+0]; + p1 = pSrc[4*i+1]; + p2 = pSrc[4*i+2]; + p3 = pSrc[4*i+3]; + + p0 <<= 1; + p1 <<= 1; + p2 <<= 1; + p3 <<= 1; + + pSrc[4*i+0] = p0; + pSrc[4*i+1] = p1; + pSrc[4*i+2] = p2; + pSrc[4*i+3] = p3; + } +} + diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_q31.c b/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_q31.c new file mode 100644 index 0000000..934a3fc --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_q31.c @@ -0,0 +1,252 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_cfft_q31.c + * Description: Combined Radix Decimation in Frequency CFFT fixed point processing function + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +extern void arm_radix4_butterfly_q31( + q31_t * pSrc, + uint32_t fftLen, + q31_t * pCoef, + uint32_t twidCoefModifier); + +extern void arm_radix4_butterfly_inverse_q31( + q31_t * pSrc, + uint32_t fftLen, + q31_t * pCoef, + uint32_t twidCoefModifier); + +extern void arm_bitreversal_32( + uint32_t * pSrc, + const uint16_t bitRevLen, + const uint16_t * pBitRevTable); + +void arm_cfft_radix4by2_q31( + q31_t * pSrc, + uint32_t fftLen, + const q31_t * pCoef); + +void arm_cfft_radix4by2_inverse_q31( + q31_t * pSrc, + uint32_t fftLen, + const q31_t * pCoef); + +/** +* @ingroup groupTransforms +*/ + +/** +* @addtogroup ComplexFFT +* @{ +*/ + +/** +* @details +* @brief Processing function for the fixed-point complex FFT in Q31 format. +* @param[in] *S points to an instance of the fixed-point CFFT structure. +* @param[in, out] *p1 points to the complex data buffer of size 2*fftLen. Processing occurs in-place. +* @param[in] ifftFlag flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. +* @param[in] bitReverseFlag flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. +* @return none. +*/ + +void arm_cfft_q31( + const arm_cfft_instance_q31 * S, + q31_t * p1, + uint8_t ifftFlag, + uint8_t bitReverseFlag) +{ + uint32_t L = S->fftLen; + + if (ifftFlag == 1U) + { + switch (L) + { + case 16: + case 64: + case 256: + case 1024: + case 4096: + arm_radix4_butterfly_inverse_q31 ( p1, L, (q31_t*)S->pTwiddle, 1 ); + break; + + case 32: + case 128: + case 512: + case 2048: + arm_cfft_radix4by2_inverse_q31 ( p1, L, S->pTwiddle ); + break; + } + } + else + { + switch (L) + { + case 16: + case 64: + case 256: + case 1024: + case 4096: + arm_radix4_butterfly_q31 ( p1, L, (q31_t*)S->pTwiddle, 1 ); + break; + + case 32: + case 128: + case 512: + case 2048: + arm_cfft_radix4by2_q31 ( p1, L, S->pTwiddle ); + break; + } + } + + if ( bitReverseFlag ) + arm_bitreversal_32((uint32_t*)p1,S->bitRevLength,S->pBitRevTable); +} + +/** +* @} end of ComplexFFT group +*/ + +void arm_cfft_radix4by2_q31( + q31_t * pSrc, + uint32_t fftLen, + const q31_t * pCoef) +{ + uint32_t i, l; + uint32_t n2, ia; + q31_t xt, yt, cosVal, sinVal; + q31_t p0, p1; + + n2 = fftLen >> 1; + ia = 0; + for (i = 0; i < n2; i++) + { + cosVal = pCoef[2*ia]; + sinVal = pCoef[2*ia + 1]; + ia++; + + l = i + n2; + xt = (pSrc[2 * i] >> 2) - (pSrc[2 * l] >> 2); + pSrc[2 * i] = (pSrc[2 * i] >> 2) + (pSrc[2 * l] >> 2); + + yt = (pSrc[2 * i + 1] >> 2) - (pSrc[2 * l + 1] >> 2); + pSrc[2 * i + 1] = (pSrc[2 * l + 1] >> 2) + (pSrc[2 * i + 1] >> 2); + + mult_32x32_keep32_R(p0, xt, cosVal); + mult_32x32_keep32_R(p1, yt, cosVal); + multAcc_32x32_keep32_R(p0, yt, sinVal); + multSub_32x32_keep32_R(p1, xt, sinVal); + + pSrc[2U * l] = p0 << 1; + pSrc[2U * l + 1U] = p1 << 1; + + } + + // first col + arm_radix4_butterfly_q31( pSrc, n2, (q31_t*)pCoef, 2U); + // second col + arm_radix4_butterfly_q31( pSrc + fftLen, n2, (q31_t*)pCoef, 2U); + + for (i = 0; i < fftLen >> 1; i++) + { + p0 = pSrc[4*i+0]; + p1 = pSrc[4*i+1]; + xt = pSrc[4*i+2]; + yt = pSrc[4*i+3]; + + p0 <<= 1; + p1 <<= 1; + xt <<= 1; + yt <<= 1; + + pSrc[4*i+0] = p0; + pSrc[4*i+1] = p1; + pSrc[4*i+2] = xt; + pSrc[4*i+3] = yt; + } + +} + +void arm_cfft_radix4by2_inverse_q31( + q31_t * pSrc, + uint32_t fftLen, + const q31_t * pCoef) +{ + uint32_t i, l; + uint32_t n2, ia; + q31_t xt, yt, cosVal, sinVal; + q31_t p0, p1; + + n2 = fftLen >> 1; + ia = 0; + for (i = 0; i < n2; i++) + { + cosVal = pCoef[2*ia]; + sinVal = pCoef[2*ia + 1]; + ia++; + + l = i + n2; + xt = (pSrc[2 * i] >> 2) - (pSrc[2 * l] >> 2); + pSrc[2 * i] = (pSrc[2 * i] >> 2) + (pSrc[2 * l] >> 2); + + yt = (pSrc[2 * i + 1] >> 2) - (pSrc[2 * l + 1] >> 2); + pSrc[2 * i + 1] = (pSrc[2 * l + 1] >> 2) + (pSrc[2 * i + 1] >> 2); + + mult_32x32_keep32_R(p0, xt, cosVal); + mult_32x32_keep32_R(p1, yt, cosVal); + multSub_32x32_keep32_R(p0, yt, sinVal); + multAcc_32x32_keep32_R(p1, xt, sinVal); + + pSrc[2U * l] = p0 << 1; + pSrc[2U * l + 1U] = p1 << 1; + + } + + // first col + arm_radix4_butterfly_inverse_q31( pSrc, n2, (q31_t*)pCoef, 2U); + // second col + arm_radix4_butterfly_inverse_q31( pSrc + fftLen, n2, (q31_t*)pCoef, 2U); + + for (i = 0; i < fftLen >> 1; i++) + { + p0 = pSrc[4*i+0]; + p1 = pSrc[4*i+1]; + xt = pSrc[4*i+2]; + yt = pSrc[4*i+3]; + + p0 <<= 1; + p1 <<= 1; + xt <<= 1; + yt <<= 1; + + pSrc[4*i+0] = p0; + pSrc[4*i+1] = p1; + pSrc[4*i+2] = xt; + pSrc[4*i+3] = yt; + } +} + diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix2_f32.c b/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix2_f32.c new file mode 100644 index 0000000..45bcc3b --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix2_f32.c @@ -0,0 +1,472 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_cfft_radix2_f32.c + * Description: Radix-2 Decimation in Frequency CFFT & CIFFT Floating point processing function + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +void arm_radix2_butterfly_f32( + float32_t * pSrc, + uint32_t fftLen, + float32_t * pCoef, + uint16_t twidCoefModifier); + +void arm_radix2_butterfly_inverse_f32( + float32_t * pSrc, + uint32_t fftLen, + float32_t * pCoef, + uint16_t twidCoefModifier, + float32_t onebyfftLen); + +extern void arm_bitreversal_f32( + float32_t * pSrc, + uint16_t fftSize, + uint16_t bitRevFactor, + uint16_t * pBitRevTab); + +/** +* @ingroup groupTransforms +*/ + +/** +* @addtogroup ComplexFFT +* @{ +*/ + +/** +* @details +* @brief Radix-2 CFFT/CIFFT. +* @deprecated Do not use this function. It has been superseded by \ref arm_cfft_f32 and will be removed +* in the future. +* @param[in] *S points to an instance of the floating-point Radix-2 CFFT/CIFFT structure. +* @param[in, out] *pSrc points to the complex data buffer of size 2*fftLen. Processing occurs in-place. +* @return none. +*/ + +void arm_cfft_radix2_f32( +const arm_cfft_radix2_instance_f32 * S, +float32_t * pSrc) +{ + + if (S->ifftFlag == 1U) + { + /* Complex IFFT radix-2 */ + arm_radix2_butterfly_inverse_f32(pSrc, S->fftLen, S->pTwiddle, + S->twidCoefModifier, S->onebyfftLen); + } + else + { + /* Complex FFT radix-2 */ + arm_radix2_butterfly_f32(pSrc, S->fftLen, S->pTwiddle, + S->twidCoefModifier); + } + + if (S->bitReverseFlag == 1U) + { + /* Bit Reversal */ + arm_bitreversal_f32(pSrc, S->fftLen, S->bitRevFactor, S->pBitRevTable); + } + +} + + +/** +* @} end of ComplexFFT group +*/ + + + +/* ---------------------------------------------------------------------- +** Internal helper function used by the FFTs +** ------------------------------------------------------------------- */ + +/* +* @brief Core function for the floating-point CFFT butterfly process. +* @param[in, out] *pSrc points to the in-place buffer of floating-point data type. +* @param[in] fftLen length of the FFT. +* @param[in] *pCoef points to the twiddle coefficient buffer. +* @param[in] twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. +* @return none. +*/ + +void arm_radix2_butterfly_f32( +float32_t * pSrc, +uint32_t fftLen, +float32_t * pCoef, +uint16_t twidCoefModifier) +{ + + uint32_t i, j, k, l; + uint32_t n1, n2, ia; + float32_t xt, yt, cosVal, sinVal; + float32_t p0, p1, p2, p3; + float32_t a0, a1; + +#if defined (ARM_MATH_DSP) + + /* Initializations for the first stage */ + n2 = fftLen >> 1; + ia = 0; + i = 0; + + // loop for groups + for (k = n2; k > 0; k--) + { + cosVal = pCoef[ia * 2]; + sinVal = pCoef[(ia * 2) + 1]; + + /* Twiddle coefficients index modifier */ + ia += twidCoefModifier; + + /* index calculation for the input as, */ + /* pSrc[i + 0], pSrc[i + fftLen/1] */ + l = i + n2; + + /* Butterfly implementation */ + a0 = pSrc[2 * i] + pSrc[2 * l]; + xt = pSrc[2 * i] - pSrc[2 * l]; + + yt = pSrc[2 * i + 1] - pSrc[2 * l + 1]; + a1 = pSrc[2 * l + 1] + pSrc[2 * i + 1]; + + p0 = xt * cosVal; + p1 = yt * sinVal; + p2 = yt * cosVal; + p3 = xt * sinVal; + + pSrc[2 * i] = a0; + pSrc[2 * i + 1] = a1; + + pSrc[2 * l] = p0 + p1; + pSrc[2 * l + 1] = p2 - p3; + + i++; + } // groups loop end + + twidCoefModifier <<= 1U; + + // loop for stage + for (k = n2; k > 2; k = k >> 1) + { + n1 = n2; + n2 = n2 >> 1; + ia = 0; + + // loop for groups + j = 0; + do + { + cosVal = pCoef[ia * 2]; + sinVal = pCoef[(ia * 2) + 1]; + ia += twidCoefModifier; + + // loop for butterfly + i = j; + do + { + l = i + n2; + a0 = pSrc[2 * i] + pSrc[2 * l]; + xt = pSrc[2 * i] - pSrc[2 * l]; + + yt = pSrc[2 * i + 1] - pSrc[2 * l + 1]; + a1 = pSrc[2 * l + 1] + pSrc[2 * i + 1]; + + p0 = xt * cosVal; + p1 = yt * sinVal; + p2 = yt * cosVal; + p3 = xt * sinVal; + + pSrc[2 * i] = a0; + pSrc[2 * i + 1] = a1; + + pSrc[2 * l] = p0 + p1; + pSrc[2 * l + 1] = p2 - p3; + + i += n1; + } while ( i < fftLen ); // butterfly loop end + j++; + } while ( j < n2); // groups loop end + twidCoefModifier <<= 1U; + } // stages loop end + + // loop for butterfly + for (i = 0; i < fftLen; i += 2) + { + a0 = pSrc[2 * i] + pSrc[2 * i + 2]; + xt = pSrc[2 * i] - pSrc[2 * i + 2]; + + yt = pSrc[2 * i + 1] - pSrc[2 * i + 3]; + a1 = pSrc[2 * i + 3] + pSrc[2 * i + 1]; + + pSrc[2 * i] = a0; + pSrc[2 * i + 1] = a1; + pSrc[2 * i + 2] = xt; + pSrc[2 * i + 3] = yt; + } // groups loop end + +#else + + n2 = fftLen; + + // loop for stage + for (k = fftLen; k > 1; k = k >> 1) + { + n1 = n2; + n2 = n2 >> 1; + ia = 0; + + // loop for groups + j = 0; + do + { + cosVal = pCoef[ia * 2]; + sinVal = pCoef[(ia * 2) + 1]; + ia += twidCoefModifier; + + // loop for butterfly + i = j; + do + { + l = i + n2; + a0 = pSrc[2 * i] + pSrc[2 * l]; + xt = pSrc[2 * i] - pSrc[2 * l]; + + yt = pSrc[2 * i + 1] - pSrc[2 * l + 1]; + a1 = pSrc[2 * l + 1] + pSrc[2 * i + 1]; + + p0 = xt * cosVal; + p1 = yt * sinVal; + p2 = yt * cosVal; + p3 = xt * sinVal; + + pSrc[2 * i] = a0; + pSrc[2 * i + 1] = a1; + + pSrc[2 * l] = p0 + p1; + pSrc[2 * l + 1] = p2 - p3; + + i += n1; + } while (i < fftLen); + j++; + } while (j < n2); + twidCoefModifier <<= 1U; + } + +#endif // #if defined (ARM_MATH_DSP) + +} + + +void arm_radix2_butterfly_inverse_f32( +float32_t * pSrc, +uint32_t fftLen, +float32_t * pCoef, +uint16_t twidCoefModifier, +float32_t onebyfftLen) +{ + + uint32_t i, j, k, l; + uint32_t n1, n2, ia; + float32_t xt, yt, cosVal, sinVal; + float32_t p0, p1, p2, p3; + float32_t a0, a1; + +#if defined (ARM_MATH_DSP) + + n2 = fftLen >> 1; + ia = 0; + + // loop for groups + for (i = 0; i < n2; i++) + { + cosVal = pCoef[ia * 2]; + sinVal = pCoef[(ia * 2) + 1]; + ia += twidCoefModifier; + + l = i + n2; + a0 = pSrc[2 * i] + pSrc[2 * l]; + xt = pSrc[2 * i] - pSrc[2 * l]; + + yt = pSrc[2 * i + 1] - pSrc[2 * l + 1]; + a1 = pSrc[2 * l + 1] + pSrc[2 * i + 1]; + + p0 = xt * cosVal; + p1 = yt * sinVal; + p2 = yt * cosVal; + p3 = xt * sinVal; + + pSrc[2 * i] = a0; + pSrc[2 * i + 1] = a1; + + pSrc[2 * l] = p0 - p1; + pSrc[2 * l + 1] = p2 + p3; + } // groups loop end + + twidCoefModifier <<= 1U; + + // loop for stage + for (k = fftLen / 2; k > 2; k = k >> 1) + { + n1 = n2; + n2 = n2 >> 1; + ia = 0; + + // loop for groups + j = 0; + do + { + cosVal = pCoef[ia * 2]; + sinVal = pCoef[(ia * 2) + 1]; + ia += twidCoefModifier; + + // loop for butterfly + i = j; + do + { + l = i + n2; + a0 = pSrc[2 * i] + pSrc[2 * l]; + xt = pSrc[2 * i] - pSrc[2 * l]; + + yt = pSrc[2 * i + 1] - pSrc[2 * l + 1]; + a1 = pSrc[2 * l + 1] + pSrc[2 * i + 1]; + + p0 = xt * cosVal; + p1 = yt * sinVal; + p2 = yt * cosVal; + p3 = xt * sinVal; + + pSrc[2 * i] = a0; + pSrc[2 * i + 1] = a1; + + pSrc[2 * l] = p0 - p1; + pSrc[2 * l + 1] = p2 + p3; + + i += n1; + } while ( i < fftLen ); // butterfly loop end + j++; + } while (j < n2); // groups loop end + + twidCoefModifier <<= 1U; + } // stages loop end + + // loop for butterfly + for (i = 0; i < fftLen; i += 2) + { + a0 = pSrc[2 * i] + pSrc[2 * i + 2]; + xt = pSrc[2 * i] - pSrc[2 * i + 2]; + + a1 = pSrc[2 * i + 3] + pSrc[2 * i + 1]; + yt = pSrc[2 * i + 1] - pSrc[2 * i + 3]; + + p0 = a0 * onebyfftLen; + p2 = xt * onebyfftLen; + p1 = a1 * onebyfftLen; + p3 = yt * onebyfftLen; + + pSrc[2 * i] = p0; + pSrc[2 * i + 1] = p1; + pSrc[2 * i + 2] = p2; + pSrc[2 * i + 3] = p3; + } // butterfly loop end + +#else + + n2 = fftLen; + + // loop for stage + for (k = fftLen; k > 2; k = k >> 1) + { + n1 = n2; + n2 = n2 >> 1; + ia = 0; + + // loop for groups + j = 0; + do + { + cosVal = pCoef[ia * 2]; + sinVal = pCoef[(ia * 2) + 1]; + ia = ia + twidCoefModifier; + + // loop for butterfly + i = j; + do + { + l = i + n2; + a0 = pSrc[2 * i] + pSrc[2 * l]; + xt = pSrc[2 * i] - pSrc[2 * l]; + + yt = pSrc[2 * i + 1] - pSrc[2 * l + 1]; + a1 = pSrc[2 * l + 1] + pSrc[2 * i + 1]; + + p0 = xt * cosVal; + p1 = yt * sinVal; + p2 = yt * cosVal; + p3 = xt * sinVal; + + pSrc[2 * i] = a0; + pSrc[2 * i + 1] = a1; + + pSrc[2 * l] = p0 - p1; + pSrc[2 * l + 1] = p2 + p3; + + i += n1; + } while ( i < fftLen ); // butterfly loop end + j++; + } while ( j < n2 ); // groups loop end + + twidCoefModifier = twidCoefModifier << 1U; + } // stages loop end + + n1 = n2; + n2 = n2 >> 1; + + // loop for butterfly + for (i = 0; i < fftLen; i += n1) + { + l = i + n2; + + a0 = pSrc[2 * i] + pSrc[2 * l]; + xt = pSrc[2 * i] - pSrc[2 * l]; + + a1 = pSrc[2 * l + 1] + pSrc[2 * i + 1]; + yt = pSrc[2 * i + 1] - pSrc[2 * l + 1]; + + p0 = a0 * onebyfftLen; + p2 = xt * onebyfftLen; + p1 = a1 * onebyfftLen; + p3 = yt * onebyfftLen; + + pSrc[2 * i] = p0; + pSrc[2U * l] = p2; + + pSrc[2 * i + 1] = p1; + pSrc[2U * l + 1U] = p3; + } // butterfly loop end + +#endif // #if defined (ARM_MATH_DSP) + +} diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix2_init_f32.c b/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix2_init_f32.c new file mode 100644 index 0000000..0f423eb --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix2_init_f32.c @@ -0,0 +1,192 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_cfft_radix2_init_f32.c + * Description: Radix-2 Decimation in Frequency Floating-point CFFT & CIFFT Initialization function + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include "arm_common_tables.h" + +/** + * @ingroup groupTransforms + */ + +/** + * @addtogroup ComplexFFT + * @{ + */ + +/** +* @brief Initialization function for the floating-point CFFT/CIFFT. +* @deprecated Do not use this function. It has been superseded by \ref arm_cfft_f32 and will be removed +* in the future. +* @param[in,out] *S points to an instance of the floating-point CFFT/CIFFT structure. +* @param[in] fftLen length of the FFT. +* @param[in] ifftFlag flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. +* @param[in] bitReverseFlag flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. +* @return The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if fftLen is not a supported value. +* +* \par Description: +* \par +* The parameter ifftFlag controls whether a forward or inverse transform is computed. +* Set(=1) ifftFlag for calculation of CIFFT otherwise CFFT is calculated +* \par +* The parameter bitReverseFlag controls whether output is in normal order or bit reversed order. +* Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order. +* \par +* The parameter fftLen Specifies length of CFFT/CIFFT process. Supported FFT Lengths are 16, 64, 256, 1024. +* \par +* This Function also initializes Twiddle factor table pointer and Bit reversal table pointer. +*/ +arm_status arm_cfft_radix2_init_f32( + arm_cfft_radix2_instance_f32 * S, + uint16_t fftLen, + uint8_t ifftFlag, + uint8_t bitReverseFlag) +{ + /* Initialise the default arm status */ + arm_status status = ARM_MATH_SUCCESS; + + /* Initialise the FFT length */ + S->fftLen = fftLen; + + /* Initialise the Twiddle coefficient pointer */ + S->pTwiddle = (float32_t *) twiddleCoef; + + /* Initialise the Flag for selection of CFFT or CIFFT */ + S->ifftFlag = ifftFlag; + + /* Initialise the Flag for calculation Bit reversal or not */ + S->bitReverseFlag = bitReverseFlag; + + /* Initializations of structure parameters depending on the FFT length */ + switch (S->fftLen) + { + + case 4096U: + /* Initializations of structure parameters for 4096 point FFT */ + + /* Initialise the twiddle coef modifier value */ + S->twidCoefModifier = 1U; + /* Initialise the bit reversal table modifier */ + S->bitRevFactor = 1U; + /* Initialise the bit reversal table pointer */ + S->pBitRevTable = (uint16_t *) armBitRevTable; + /* Initialise the 1/fftLen Value */ + S->onebyfftLen = 0.000244140625; + break; + + case 2048U: + /* Initializations of structure parameters for 2048 point FFT */ + + /* Initialise the twiddle coef modifier value */ + S->twidCoefModifier = 2U; + /* Initialise the bit reversal table modifier */ + S->bitRevFactor = 2U; + /* Initialise the bit reversal table pointer */ + S->pBitRevTable = (uint16_t *) & armBitRevTable[1]; + /* Initialise the 1/fftLen Value */ + S->onebyfftLen = 0.00048828125; + break; + + case 1024U: + /* Initializations of structure parameters for 1024 point FFT */ + + /* Initialise the twiddle coef modifier value */ + S->twidCoefModifier = 4U; + /* Initialise the bit reversal table modifier */ + S->bitRevFactor = 4U; + /* Initialise the bit reversal table pointer */ + S->pBitRevTable = (uint16_t *) & armBitRevTable[3]; + /* Initialise the 1/fftLen Value */ + S->onebyfftLen = 0.0009765625f; + break; + + case 512U: + /* Initializations of structure parameters for 512 point FFT */ + + /* Initialise the twiddle coef modifier value */ + S->twidCoefModifier = 8U; + /* Initialise the bit reversal table modifier */ + S->bitRevFactor = 8U; + /* Initialise the bit reversal table pointer */ + S->pBitRevTable = (uint16_t *) & armBitRevTable[7]; + /* Initialise the 1/fftLen Value */ + S->onebyfftLen = 0.001953125; + break; + + case 256U: + /* Initializations of structure parameters for 256 point FFT */ + S->twidCoefModifier = 16U; + S->bitRevFactor = 16U; + S->pBitRevTable = (uint16_t *) & armBitRevTable[15]; + S->onebyfftLen = 0.00390625f; + break; + + case 128U: + /* Initializations of structure parameters for 128 point FFT */ + S->twidCoefModifier = 32U; + S->bitRevFactor = 32U; + S->pBitRevTable = (uint16_t *) & armBitRevTable[31]; + S->onebyfftLen = 0.0078125; + break; + + case 64U: + /* Initializations of structure parameters for 64 point FFT */ + S->twidCoefModifier = 64U; + S->bitRevFactor = 64U; + S->pBitRevTable = (uint16_t *) & armBitRevTable[63]; + S->onebyfftLen = 0.015625f; + break; + + case 32U: + /* Initializations of structure parameters for 64 point FFT */ + S->twidCoefModifier = 128U; + S->bitRevFactor = 128U; + S->pBitRevTable = (uint16_t *) & armBitRevTable[127]; + S->onebyfftLen = 0.03125; + break; + + case 16U: + /* Initializations of structure parameters for 16 point FFT */ + S->twidCoefModifier = 256U; + S->bitRevFactor = 256U; + S->pBitRevTable = (uint16_t *) & armBitRevTable[255]; + S->onebyfftLen = 0.0625f; + break; + + + default: + /* Reporting argument error if fftSize is not valid value */ + status = ARM_MATH_ARGUMENT_ERROR; + break; + } + + return (status); +} + +/** + * @} end of ComplexFFT group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix2_init_q15.c b/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix2_init_q15.c new file mode 100644 index 0000000..54f4e84 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix2_init_q15.c @@ -0,0 +1,177 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_cfft_radix2_init_q15.c + * Description: Radix-2 Decimation in Frequency Q15 FFT & IFFT initialization function + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include "arm_common_tables.h" + +/** + * @ingroup groupTransforms + */ + + +/** + * @addtogroup ComplexFFT + * @{ + */ + +/** +* @brief Initialization function for the Q15 CFFT/CIFFT. +* @deprecated Do not use this function. It has been superseded by \ref arm_cfft_q15 and will be removed +* @param[in,out] *S points to an instance of the Q15 CFFT/CIFFT structure. +* @param[in] fftLen length of the FFT. +* @param[in] ifftFlag flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. +* @param[in] bitReverseFlag flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. +* @return The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if fftLen is not a supported value. +* +* \par Description: +* \par +* The parameter ifftFlag controls whether a forward or inverse transform is computed. +* Set(=1) ifftFlag for calculation of CIFFT otherwise CFFT is calculated +* \par +* The parameter bitReverseFlag controls whether output is in normal order or bit reversed order. +* Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order. +* \par +* The parameter fftLen Specifies length of CFFT/CIFFT process. Supported FFT Lengths are 16, 64, 256, 1024. +* \par +* This Function also initializes Twiddle factor table pointer and Bit reversal table pointer. +*/ + +arm_status arm_cfft_radix2_init_q15( + arm_cfft_radix2_instance_q15 * S, + uint16_t fftLen, + uint8_t ifftFlag, + uint8_t bitReverseFlag) +{ + /* Initialise the default arm status */ + arm_status status = ARM_MATH_SUCCESS; + + /* Initialise the FFT length */ + S->fftLen = fftLen; + + /* Initialise the Twiddle coefficient pointer */ + S->pTwiddle = (q15_t *) twiddleCoef_4096_q15; + /* Initialise the Flag for selection of CFFT or CIFFT */ + S->ifftFlag = ifftFlag; + /* Initialise the Flag for calculation Bit reversal or not */ + S->bitReverseFlag = bitReverseFlag; + + /* Initializations of structure parameters depending on the FFT length */ + switch (S->fftLen) + { + case 4096U: + /* Initializations of structure parameters for 4096 point FFT */ + + /* Initialise the twiddle coef modifier value */ + S->twidCoefModifier = 1U; + /* Initialise the bit reversal table modifier */ + S->bitRevFactor = 1U; + /* Initialise the bit reversal table pointer */ + S->pBitRevTable = (uint16_t *) armBitRevTable; + + break; + + case 2048U: + /* Initializations of structure parameters for 2048 point FFT */ + + /* Initialise the twiddle coef modifier value */ + S->twidCoefModifier = 2U; + /* Initialise the bit reversal table modifier */ + S->bitRevFactor = 2U; + /* Initialise the bit reversal table pointer */ + S->pBitRevTable = (uint16_t *) & armBitRevTable[1]; + + break; + + case 1024U: + /* Initializations of structure parameters for 1024 point FFT */ + S->twidCoefModifier = 4U; + S->bitRevFactor = 4U; + S->pBitRevTable = (uint16_t *) & armBitRevTable[3]; + + break; + + case 512U: + /* Initializations of structure parameters for 512 point FFT */ + S->twidCoefModifier = 8U; + S->bitRevFactor = 8U; + S->pBitRevTable = (uint16_t *) & armBitRevTable[7]; + + break; + + case 256U: + /* Initializations of structure parameters for 256 point FFT */ + S->twidCoefModifier = 16U; + S->bitRevFactor = 16U; + S->pBitRevTable = (uint16_t *) & armBitRevTable[15]; + + break; + + case 128U: + /* Initializations of structure parameters for 128 point FFT */ + S->twidCoefModifier = 32U; + S->bitRevFactor = 32U; + S->pBitRevTable = (uint16_t *) & armBitRevTable[31]; + + break; + + case 64U: + /* Initializations of structure parameters for 64 point FFT */ + S->twidCoefModifier = 64U; + S->bitRevFactor = 64U; + S->pBitRevTable = (uint16_t *) & armBitRevTable[63]; + + break; + + case 32U: + /* Initializations of structure parameters for 32 point FFT */ + S->twidCoefModifier = 128U; + S->bitRevFactor = 128U; + S->pBitRevTable = (uint16_t *) & armBitRevTable[127]; + + break; + + case 16U: + /* Initializations of structure parameters for 16 point FFT */ + S->twidCoefModifier = 256U; + S->bitRevFactor = 256U; + S->pBitRevTable = (uint16_t *) & armBitRevTable[255]; + + break; + + default: + /* Reporting argument error if fftSize is not valid value */ + status = ARM_MATH_ARGUMENT_ERROR; + break; + } + + return (status); +} + +/** + * @} end of ComplexFFT group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix2_init_q31.c b/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix2_init_q31.c new file mode 100644 index 0000000..41ad965 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix2_init_q31.c @@ -0,0 +1,174 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_cfft_radix2_init_q31.c + * Description: Radix-2 Decimation in Frequency Fixed-point CFFT & CIFFT Initialization function + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include "arm_common_tables.h" + +/** + * @ingroup groupTransforms + */ + +/** + * @addtogroup ComplexFFT + * @{ + */ + + +/** +* +* @brief Initialization function for the Q31 CFFT/CIFFT. +* @deprecated Do not use this function. It has been superseded by \ref arm_cfft_q31 and will be removed +* @param[in,out] *S points to an instance of the Q31 CFFT/CIFFT structure. +* @param[in] fftLen length of the FFT. +* @param[in] ifftFlag flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. +* @param[in] bitReverseFlag flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. +* @return The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if fftLen is not a supported value. +* +* \par Description: +* \par +* The parameter ifftFlag controls whether a forward or inverse transform is computed. +* Set(=1) ifftFlag for calculation of CIFFT otherwise CFFT is calculated +* \par +* The parameter bitReverseFlag controls whether output is in normal order or bit reversed order. +* Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order. +* \par +* The parameter fftLen Specifies length of CFFT/CIFFT process. Supported FFT Lengths are 16, 64, 256, 1024. +* \par +* This Function also initializes Twiddle factor table pointer and Bit reversal table pointer. +*/ + +arm_status arm_cfft_radix2_init_q31( + arm_cfft_radix2_instance_q31 * S, + uint16_t fftLen, + uint8_t ifftFlag, + uint8_t bitReverseFlag) +{ + /* Initialise the default arm status */ + arm_status status = ARM_MATH_SUCCESS; + + /* Initialise the FFT length */ + S->fftLen = fftLen; + + /* Initialise the Twiddle coefficient pointer */ + S->pTwiddle = (q31_t *) twiddleCoef_4096_q31; + /* Initialise the Flag for selection of CFFT or CIFFT */ + S->ifftFlag = ifftFlag; + /* Initialise the Flag for calculation Bit reversal or not */ + S->bitReverseFlag = bitReverseFlag; + + /* Initializations of Instance structure depending on the FFT length */ + switch (S->fftLen) + { + /* Initializations of structure parameters for 4096 point FFT */ + case 4096U: + /* Initialise the twiddle coef modifier value */ + S->twidCoefModifier = 1U; + /* Initialise the bit reversal table modifier */ + S->bitRevFactor = 1U; + /* Initialise the bit reversal table pointer */ + S->pBitRevTable = (uint16_t *) armBitRevTable; + break; + + /* Initializations of structure parameters for 2048 point FFT */ + case 2048U: + /* Initialise the twiddle coef modifier value */ + S->twidCoefModifier = 2U; + /* Initialise the bit reversal table modifier */ + S->bitRevFactor = 2U; + /* Initialise the bit reversal table pointer */ + S->pBitRevTable = (uint16_t *) & armBitRevTable[1]; + break; + + /* Initializations of structure parameters for 1024 point FFT */ + case 1024U: + /* Initialise the twiddle coef modifier value */ + S->twidCoefModifier = 4U; + /* Initialise the bit reversal table modifier */ + S->bitRevFactor = 4U; + /* Initialise the bit reversal table pointer */ + S->pBitRevTable = (uint16_t *) & armBitRevTable[3]; + break; + + /* Initializations of structure parameters for 512 point FFT */ + case 512U: + /* Initialise the twiddle coef modifier value */ + S->twidCoefModifier = 8U; + /* Initialise the bit reversal table modifier */ + S->bitRevFactor = 8U; + /* Initialise the bit reversal table pointer */ + S->pBitRevTable = (uint16_t *) & armBitRevTable[7]; + break; + + case 256U: + /* Initializations of structure parameters for 256 point FFT */ + S->twidCoefModifier = 16U; + S->bitRevFactor = 16U; + S->pBitRevTable = (uint16_t *) & armBitRevTable[15]; + break; + + case 128U: + /* Initializations of structure parameters for 128 point FFT */ + S->twidCoefModifier = 32U; + S->bitRevFactor = 32U; + S->pBitRevTable = (uint16_t *) & armBitRevTable[31]; + break; + + case 64U: + /* Initializations of structure parameters for 64 point FFT */ + S->twidCoefModifier = 64U; + S->bitRevFactor = 64U; + S->pBitRevTable = (uint16_t *) & armBitRevTable[63]; + break; + + case 32U: + /* Initializations of structure parameters for 32 point FFT */ + S->twidCoefModifier = 128U; + S->bitRevFactor = 128U; + S->pBitRevTable = (uint16_t *) & armBitRevTable[127]; + break; + + case 16U: + /* Initializations of structure parameters for 16 point FFT */ + S->twidCoefModifier = 256U; + S->bitRevFactor = 256U; + S->pBitRevTable = (uint16_t *) & armBitRevTable[255]; + break; + + + default: + /* Reporting argument error if fftSize is not valid value */ + status = ARM_MATH_ARGUMENT_ERROR; + break; + } + + return (status); +} + +/** + * @} end of ComplexFFT group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix2_q15.c b/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix2_q15.c new file mode 100644 index 0000000..c7a9bdf --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix2_q15.c @@ -0,0 +1,729 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_cfft_radix2_q15.c + * Description: Radix-2 Decimation in Frequency CFFT & CIFFT Fixed point processing function + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +void arm_radix2_butterfly_q15( + q15_t * pSrc, + uint32_t fftLen, + q15_t * pCoef, + uint16_t twidCoefModifier); + +void arm_radix2_butterfly_inverse_q15( + q15_t * pSrc, + uint32_t fftLen, + q15_t * pCoef, + uint16_t twidCoefModifier); + +void arm_bitreversal_q15( + q15_t * pSrc, + uint32_t fftLen, + uint16_t bitRevFactor, + uint16_t * pBitRevTab); + +/** + * @ingroup groupTransforms + */ + +/** + * @addtogroup ComplexFFT + * @{ + */ + +/** + * @details + * @brief Processing function for the fixed-point CFFT/CIFFT. + * @deprecated Do not use this function. It has been superseded by \ref arm_cfft_q15 and will be removed + * @param[in] *S points to an instance of the fixed-point CFFT/CIFFT structure. + * @param[in, out] *pSrc points to the complex data buffer of size 2*fftLen. Processing occurs in-place. + * @return none. + */ + +void arm_cfft_radix2_q15( + const arm_cfft_radix2_instance_q15 * S, + q15_t * pSrc) +{ + + if (S->ifftFlag == 1U) + { + arm_radix2_butterfly_inverse_q15(pSrc, S->fftLen, + S->pTwiddle, S->twidCoefModifier); + } + else + { + arm_radix2_butterfly_q15(pSrc, S->fftLen, + S->pTwiddle, S->twidCoefModifier); + } + + arm_bitreversal_q15(pSrc, S->fftLen, S->bitRevFactor, S->pBitRevTable); +} + +/** + * @} end of ComplexFFT group + */ + +void arm_radix2_butterfly_q15( + q15_t * pSrc, + uint32_t fftLen, + q15_t * pCoef, + uint16_t twidCoefModifier) +{ +#if defined (ARM_MATH_DSP) + + unsigned i, j, k, l; + unsigned n1, n2, ia; + q15_t in; + q31_t T, S, R; + q31_t coeff, out1, out2; + + //N = fftLen; + n2 = fftLen; + + n1 = n2; + n2 = n2 >> 1; + ia = 0; + + // loop for groups + for (i = 0; i < n2; i++) + { + coeff = _SIMD32_OFFSET(pCoef + (ia * 2U)); + + ia = ia + twidCoefModifier; + + l = i + n2; + + T = _SIMD32_OFFSET(pSrc + (2 * i)); + in = ((int16_t) (T & 0xFFFF)) >> 1; + T = ((T >> 1) & 0xFFFF0000) | (in & 0xFFFF); + + S = _SIMD32_OFFSET(pSrc + (2 * l)); + in = ((int16_t) (S & 0xFFFF)) >> 1; + S = ((S >> 1) & 0xFFFF0000) | (in & 0xFFFF); + + R = __QSUB16(T, S); + + _SIMD32_OFFSET(pSrc + (2 * i)) = __SHADD16(T, S); + +#ifndef ARM_MATH_BIG_ENDIAN + + out1 = __SMUAD(coeff, R) >> 16; + out2 = __SMUSDX(coeff, R); + +#else + + out1 = __SMUSDX(R, coeff) >> 16U; + out2 = __SMUAD(coeff, R); + +#endif // #ifndef ARM_MATH_BIG_ENDIAN + + _SIMD32_OFFSET(pSrc + (2U * l)) = + (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF); + + coeff = _SIMD32_OFFSET(pCoef + (ia * 2U)); + + ia = ia + twidCoefModifier; + + // loop for butterfly + i++; + l++; + + T = _SIMD32_OFFSET(pSrc + (2 * i)); + in = ((int16_t) (T & 0xFFFF)) >> 1; + T = ((T >> 1) & 0xFFFF0000) | (in & 0xFFFF); + + S = _SIMD32_OFFSET(pSrc + (2 * l)); + in = ((int16_t) (S & 0xFFFF)) >> 1; + S = ((S >> 1) & 0xFFFF0000) | (in & 0xFFFF); + + R = __QSUB16(T, S); + + _SIMD32_OFFSET(pSrc + (2 * i)) = __SHADD16(T, S); + +#ifndef ARM_MATH_BIG_ENDIAN + + out1 = __SMUAD(coeff, R) >> 16; + out2 = __SMUSDX(coeff, R); + +#else + + out1 = __SMUSDX(R, coeff) >> 16U; + out2 = __SMUAD(coeff, R); + +#endif // #ifndef ARM_MATH_BIG_ENDIAN + + _SIMD32_OFFSET(pSrc + (2U * l)) = + (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF); + + } // groups loop end + + twidCoefModifier = twidCoefModifier << 1U; + + // loop for stage + for (k = fftLen / 2; k > 2; k = k >> 1) + { + n1 = n2; + n2 = n2 >> 1; + ia = 0; + + // loop for groups + for (j = 0; j < n2; j++) + { + coeff = _SIMD32_OFFSET(pCoef + (ia * 2U)); + + ia = ia + twidCoefModifier; + + // loop for butterfly + for (i = j; i < fftLen; i += n1) + { + l = i + n2; + + T = _SIMD32_OFFSET(pSrc + (2 * i)); + + S = _SIMD32_OFFSET(pSrc + (2 * l)); + + R = __QSUB16(T, S); + + _SIMD32_OFFSET(pSrc + (2 * i)) = __SHADD16(T, S); + +#ifndef ARM_MATH_BIG_ENDIAN + + out1 = __SMUAD(coeff, R) >> 16; + out2 = __SMUSDX(coeff, R); + +#else + + out1 = __SMUSDX(R, coeff) >> 16U; + out2 = __SMUAD(coeff, R); + +#endif // #ifndef ARM_MATH_BIG_ENDIAN + + _SIMD32_OFFSET(pSrc + (2U * l)) = + (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF); + + i += n1; + + l = i + n2; + + T = _SIMD32_OFFSET(pSrc + (2 * i)); + + S = _SIMD32_OFFSET(pSrc + (2 * l)); + + R = __QSUB16(T, S); + + _SIMD32_OFFSET(pSrc + (2 * i)) = __SHADD16(T, S); + +#ifndef ARM_MATH_BIG_ENDIAN + + out1 = __SMUAD(coeff, R) >> 16; + out2 = __SMUSDX(coeff, R); + +#else + + out1 = __SMUSDX(R, coeff) >> 16U; + out2 = __SMUAD(coeff, R); + +#endif // #ifndef ARM_MATH_BIG_ENDIAN + + _SIMD32_OFFSET(pSrc + (2U * l)) = + (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF); + + } // butterfly loop end + + } // groups loop end + + twidCoefModifier = twidCoefModifier << 1U; + } // stages loop end + + n1 = n2; + n2 = n2 >> 1; + ia = 0; + + coeff = _SIMD32_OFFSET(pCoef + (ia * 2U)); + + ia = ia + twidCoefModifier; + + // loop for butterfly + for (i = 0; i < fftLen; i += n1) + { + l = i + n2; + + T = _SIMD32_OFFSET(pSrc + (2 * i)); + + S = _SIMD32_OFFSET(pSrc + (2 * l)); + + R = __QSUB16(T, S); + + _SIMD32_OFFSET(pSrc + (2 * i)) = __QADD16(T, S); + + _SIMD32_OFFSET(pSrc + (2U * l)) = R; + + i += n1; + l = i + n2; + + T = _SIMD32_OFFSET(pSrc + (2 * i)); + + S = _SIMD32_OFFSET(pSrc + (2 * l)); + + R = __QSUB16(T, S); + + _SIMD32_OFFSET(pSrc + (2 * i)) = __QADD16(T, S); + + _SIMD32_OFFSET(pSrc + (2U * l)) = R; + + } // groups loop end + + +#else + + unsigned i, j, k, l; + unsigned n1, n2, ia; + q15_t xt, yt, cosVal, sinVal; + + + //N = fftLen; + n2 = fftLen; + + n1 = n2; + n2 = n2 >> 1; + ia = 0; + + // loop for groups + for (j = 0; j < n2; j++) + { + cosVal = pCoef[ia * 2]; + sinVal = pCoef[(ia * 2) + 1]; + ia = ia + twidCoefModifier; + + // loop for butterfly + for (i = j; i < fftLen; i += n1) + { + l = i + n2; + xt = (pSrc[2 * i] >> 1U) - (pSrc[2 * l] >> 1U); + pSrc[2 * i] = ((pSrc[2 * i] >> 1U) + (pSrc[2 * l] >> 1U)) >> 1U; + + yt = (pSrc[2 * i + 1] >> 1U) - (pSrc[2 * l + 1] >> 1U); + pSrc[2 * i + 1] = + ((pSrc[2 * l + 1] >> 1U) + (pSrc[2 * i + 1] >> 1U)) >> 1U; + + pSrc[2U * l] = (((int16_t) (((q31_t) xt * cosVal) >> 16)) + + ((int16_t) (((q31_t) yt * sinVal) >> 16))); + + pSrc[2U * l + 1U] = (((int16_t) (((q31_t) yt * cosVal) >> 16)) - + ((int16_t) (((q31_t) xt * sinVal) >> 16))); + + } // butterfly loop end + + } // groups loop end + + twidCoefModifier = twidCoefModifier << 1U; + + // loop for stage + for (k = fftLen / 2; k > 2; k = k >> 1) + { + n1 = n2; + n2 = n2 >> 1; + ia = 0; + + // loop for groups + for (j = 0; j < n2; j++) + { + cosVal = pCoef[ia * 2]; + sinVal = pCoef[(ia * 2) + 1]; + ia = ia + twidCoefModifier; + + // loop for butterfly + for (i = j; i < fftLen; i += n1) + { + l = i + n2; + xt = pSrc[2 * i] - pSrc[2 * l]; + pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]) >> 1U; + + yt = pSrc[2 * i + 1] - pSrc[2 * l + 1]; + pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]) >> 1U; + + pSrc[2U * l] = (((int16_t) (((q31_t) xt * cosVal) >> 16)) + + ((int16_t) (((q31_t) yt * sinVal) >> 16))); + + pSrc[2U * l + 1U] = (((int16_t) (((q31_t) yt * cosVal) >> 16)) - + ((int16_t) (((q31_t) xt * sinVal) >> 16))); + + } // butterfly loop end + + } // groups loop end + + twidCoefModifier = twidCoefModifier << 1U; + } // stages loop end + + n1 = n2; + n2 = n2 >> 1; + ia = 0; + + // loop for groups + for (j = 0; j < n2; j++) + { + cosVal = pCoef[ia * 2]; + sinVal = pCoef[(ia * 2) + 1]; + + ia = ia + twidCoefModifier; + + // loop for butterfly + for (i = j; i < fftLen; i += n1) + { + l = i + n2; + xt = pSrc[2 * i] - pSrc[2 * l]; + pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]); + + yt = pSrc[2 * i + 1] - pSrc[2 * l + 1]; + pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]); + + pSrc[2U * l] = xt; + + pSrc[2U * l + 1U] = yt; + + } // butterfly loop end + + } // groups loop end + + twidCoefModifier = twidCoefModifier << 1U; + +#endif // #if defined (ARM_MATH_DSP) + +} + + +void arm_radix2_butterfly_inverse_q15( + q15_t * pSrc, + uint32_t fftLen, + q15_t * pCoef, + uint16_t twidCoefModifier) +{ +#if defined (ARM_MATH_DSP) + + unsigned i, j, k, l; + unsigned n1, n2, ia; + q15_t in; + q31_t T, S, R; + q31_t coeff, out1, out2; + + //N = fftLen; + n2 = fftLen; + + n1 = n2; + n2 = n2 >> 1; + ia = 0; + + // loop for groups + for (i = 0; i < n2; i++) + { + coeff = _SIMD32_OFFSET(pCoef + (ia * 2U)); + + ia = ia + twidCoefModifier; + + l = i + n2; + + T = _SIMD32_OFFSET(pSrc + (2 * i)); + in = ((int16_t) (T & 0xFFFF)) >> 1; + T = ((T >> 1) & 0xFFFF0000) | (in & 0xFFFF); + + S = _SIMD32_OFFSET(pSrc + (2 * l)); + in = ((int16_t) (S & 0xFFFF)) >> 1; + S = ((S >> 1) & 0xFFFF0000) | (in & 0xFFFF); + + R = __QSUB16(T, S); + + _SIMD32_OFFSET(pSrc + (2 * i)) = __SHADD16(T, S); + +#ifndef ARM_MATH_BIG_ENDIAN + + out1 = __SMUSD(coeff, R) >> 16; + out2 = __SMUADX(coeff, R); +#else + + out1 = __SMUADX(R, coeff) >> 16U; + out2 = __SMUSD(__QSUB(0, coeff), R); + +#endif // #ifndef ARM_MATH_BIG_ENDIAN + + _SIMD32_OFFSET(pSrc + (2U * l)) = + (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF); + + coeff = _SIMD32_OFFSET(pCoef + (ia * 2U)); + + ia = ia + twidCoefModifier; + + // loop for butterfly + i++; + l++; + + T = _SIMD32_OFFSET(pSrc + (2 * i)); + in = ((int16_t) (T & 0xFFFF)) >> 1; + T = ((T >> 1) & 0xFFFF0000) | (in & 0xFFFF); + + S = _SIMD32_OFFSET(pSrc + (2 * l)); + in = ((int16_t) (S & 0xFFFF)) >> 1; + S = ((S >> 1) & 0xFFFF0000) | (in & 0xFFFF); + + R = __QSUB16(T, S); + + _SIMD32_OFFSET(pSrc + (2 * i)) = __SHADD16(T, S); + +#ifndef ARM_MATH_BIG_ENDIAN + + out1 = __SMUSD(coeff, R) >> 16; + out2 = __SMUADX(coeff, R); +#else + + out1 = __SMUADX(R, coeff) >> 16U; + out2 = __SMUSD(__QSUB(0, coeff), R); + +#endif // #ifndef ARM_MATH_BIG_ENDIAN + + _SIMD32_OFFSET(pSrc + (2U * l)) = + (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF); + + } // groups loop end + + twidCoefModifier = twidCoefModifier << 1U; + + // loop for stage + for (k = fftLen / 2; k > 2; k = k >> 1) + { + n1 = n2; + n2 = n2 >> 1; + ia = 0; + + // loop for groups + for (j = 0; j < n2; j++) + { + coeff = _SIMD32_OFFSET(pCoef + (ia * 2U)); + + ia = ia + twidCoefModifier; + + // loop for butterfly + for (i = j; i < fftLen; i += n1) + { + l = i + n2; + + T = _SIMD32_OFFSET(pSrc + (2 * i)); + + S = _SIMD32_OFFSET(pSrc + (2 * l)); + + R = __QSUB16(T, S); + + _SIMD32_OFFSET(pSrc + (2 * i)) = __SHADD16(T, S); + +#ifndef ARM_MATH_BIG_ENDIAN + + out1 = __SMUSD(coeff, R) >> 16; + out2 = __SMUADX(coeff, R); + +#else + + out1 = __SMUADX(R, coeff) >> 16U; + out2 = __SMUSD(__QSUB(0, coeff), R); + +#endif // #ifndef ARM_MATH_BIG_ENDIAN + + _SIMD32_OFFSET(pSrc + (2U * l)) = + (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF); + + i += n1; + + l = i + n2; + + T = _SIMD32_OFFSET(pSrc + (2 * i)); + + S = _SIMD32_OFFSET(pSrc + (2 * l)); + + R = __QSUB16(T, S); + + _SIMD32_OFFSET(pSrc + (2 * i)) = __SHADD16(T, S); + +#ifndef ARM_MATH_BIG_ENDIAN + + out1 = __SMUSD(coeff, R) >> 16; + out2 = __SMUADX(coeff, R); +#else + + out1 = __SMUADX(R, coeff) >> 16U; + out2 = __SMUSD(__QSUB(0, coeff), R); + +#endif // #ifndef ARM_MATH_BIG_ENDIAN + + _SIMD32_OFFSET(pSrc + (2U * l)) = + (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF); + + } // butterfly loop end + + } // groups loop end + + twidCoefModifier = twidCoefModifier << 1U; + } // stages loop end + + n1 = n2; + n2 = n2 >> 1; + ia = 0; + + // loop for groups + for (j = 0; j < n2; j++) + { + coeff = _SIMD32_OFFSET(pCoef + (ia * 2U)); + + ia = ia + twidCoefModifier; + + // loop for butterfly + for (i = j; i < fftLen; i += n1) + { + l = i + n2; + + T = _SIMD32_OFFSET(pSrc + (2 * i)); + + S = _SIMD32_OFFSET(pSrc + (2 * l)); + + R = __QSUB16(T, S); + + _SIMD32_OFFSET(pSrc + (2 * i)) = __QADD16(T, S); + + _SIMD32_OFFSET(pSrc + (2U * l)) = R; + + } // butterfly loop end + + } // groups loop end + + twidCoefModifier = twidCoefModifier << 1U; + +#else + + + unsigned i, j, k, l; + unsigned n1, n2, ia; + q15_t xt, yt, cosVal, sinVal; + + //N = fftLen; + n2 = fftLen; + + n1 = n2; + n2 = n2 >> 1; + ia = 0; + + // loop for groups + for (j = 0; j < n2; j++) + { + cosVal = pCoef[ia * 2]; + sinVal = pCoef[(ia * 2) + 1]; + ia = ia + twidCoefModifier; + + // loop for butterfly + for (i = j; i < fftLen; i += n1) + { + l = i + n2; + xt = (pSrc[2 * i] >> 1U) - (pSrc[2 * l] >> 1U); + pSrc[2 * i] = ((pSrc[2 * i] >> 1U) + (pSrc[2 * l] >> 1U)) >> 1U; + + yt = (pSrc[2 * i + 1] >> 1U) - (pSrc[2 * l + 1] >> 1U); + pSrc[2 * i + 1] = + ((pSrc[2 * l + 1] >> 1U) + (pSrc[2 * i + 1] >> 1U)) >> 1U; + + pSrc[2U * l] = (((int16_t) (((q31_t) xt * cosVal) >> 16)) - + ((int16_t) (((q31_t) yt * sinVal) >> 16))); + + pSrc[2U * l + 1U] = (((int16_t) (((q31_t) yt * cosVal) >> 16)) + + ((int16_t) (((q31_t) xt * sinVal) >> 16))); + + } // butterfly loop end + + } // groups loop end + + twidCoefModifier = twidCoefModifier << 1U; + + // loop for stage + for (k = fftLen / 2; k > 2; k = k >> 1) + { + n1 = n2; + n2 = n2 >> 1; + ia = 0; + + // loop for groups + for (j = 0; j < n2; j++) + { + cosVal = pCoef[ia * 2]; + sinVal = pCoef[(ia * 2) + 1]; + ia = ia + twidCoefModifier; + + // loop for butterfly + for (i = j; i < fftLen; i += n1) + { + l = i + n2; + xt = pSrc[2 * i] - pSrc[2 * l]; + pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]) >> 1U; + + yt = pSrc[2 * i + 1] - pSrc[2 * l + 1]; + pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]) >> 1U; + + pSrc[2U * l] = (((int16_t) (((q31_t) xt * cosVal) >> 16)) - + ((int16_t) (((q31_t) yt * sinVal) >> 16))); + + pSrc[2U * l + 1U] = (((int16_t) (((q31_t) yt * cosVal) >> 16)) + + ((int16_t) (((q31_t) xt * sinVal) >> 16))); + + } // butterfly loop end + + } // groups loop end + + twidCoefModifier = twidCoefModifier << 1U; + } // stages loop end + + n1 = n2; + n2 = n2 >> 1; + ia = 0; + + cosVal = pCoef[ia * 2]; + sinVal = pCoef[(ia * 2) + 1]; + + ia = ia + twidCoefModifier; + + // loop for butterfly + for (i = 0; i < fftLen; i += n1) + { + l = i + n2; + xt = pSrc[2 * i] - pSrc[2 * l]; + pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]); + + yt = pSrc[2 * i + 1] - pSrc[2 * l + 1]; + pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]); + + pSrc[2U * l] = xt; + + pSrc[2U * l + 1U] = yt; + + } // groups loop end + + +#endif // #if defined (ARM_MATH_DSP) + +} diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix2_q31.c b/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix2_q31.c new file mode 100644 index 0000000..e69400c --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix2_q31.c @@ -0,0 +1,338 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_cfft_radix2_q31.c + * Description: Radix-2 Decimation in Frequency CFFT & CIFFT Fixed point processing function + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +void arm_radix2_butterfly_q31( + q31_t * pSrc, + uint32_t fftLen, + q31_t * pCoef, + uint16_t twidCoefModifier); + +void arm_radix2_butterfly_inverse_q31( + q31_t * pSrc, + uint32_t fftLen, + q31_t * pCoef, + uint16_t twidCoefModifier); + +void arm_bitreversal_q31( + q31_t * pSrc, + uint32_t fftLen, + uint16_t bitRevFactor, + uint16_t * pBitRevTab); + +/** +* @ingroup groupTransforms +*/ + +/** +* @addtogroup ComplexFFT +* @{ +*/ + +/** +* @details +* @brief Processing function for the fixed-point CFFT/CIFFT. +* @deprecated Do not use this function. It has been superseded by \ref arm_cfft_q31 and will be removed +* @param[in] *S points to an instance of the fixed-point CFFT/CIFFT structure. +* @param[in, out] *pSrc points to the complex data buffer of size 2*fftLen. Processing occurs in-place. +* @return none. +*/ + +void arm_cfft_radix2_q31( +const arm_cfft_radix2_instance_q31 * S, +q31_t * pSrc) +{ + + if (S->ifftFlag == 1U) + { + arm_radix2_butterfly_inverse_q31(pSrc, S->fftLen, + S->pTwiddle, S->twidCoefModifier); + } + else + { + arm_radix2_butterfly_q31(pSrc, S->fftLen, + S->pTwiddle, S->twidCoefModifier); + } + + arm_bitreversal_q31(pSrc, S->fftLen, S->bitRevFactor, S->pBitRevTable); +} + +/** +* @} end of ComplexFFT group +*/ + +void arm_radix2_butterfly_q31( +q31_t * pSrc, +uint32_t fftLen, +q31_t * pCoef, +uint16_t twidCoefModifier) +{ + + unsigned i, j, k, l, m; + unsigned n1, n2, ia; + q31_t xt, yt, cosVal, sinVal; + q31_t p0, p1; + + //N = fftLen; + n2 = fftLen; + + n1 = n2; + n2 = n2 >> 1; + ia = 0; + + // loop for groups + for (i = 0; i < n2; i++) + { + cosVal = pCoef[ia * 2]; + sinVal = pCoef[(ia * 2) + 1]; + ia = ia + twidCoefModifier; + + l = i + n2; + xt = (pSrc[2 * i] >> 1U) - (pSrc[2 * l] >> 1U); + pSrc[2 * i] = ((pSrc[2 * i] >> 1U) + (pSrc[2 * l] >> 1U)) >> 1U; + + yt = (pSrc[2 * i + 1] >> 1U) - (pSrc[2 * l + 1] >> 1U); + pSrc[2 * i + 1] = + ((pSrc[2 * l + 1] >> 1U) + (pSrc[2 * i + 1] >> 1U)) >> 1U; + + mult_32x32_keep32_R(p0, xt, cosVal); + mult_32x32_keep32_R(p1, yt, cosVal); + multAcc_32x32_keep32_R(p0, yt, sinVal); + multSub_32x32_keep32_R(p1, xt, sinVal); + + pSrc[2U * l] = p0; + pSrc[2U * l + 1U] = p1; + + } // groups loop end + + twidCoefModifier <<= 1U; + + // loop for stage + for (k = fftLen / 2; k > 2; k = k >> 1) + { + n1 = n2; + n2 = n2 >> 1; + ia = 0; + + // loop for groups + for (j = 0; j < n2; j++) + { + cosVal = pCoef[ia * 2]; + sinVal = pCoef[(ia * 2) + 1]; + ia = ia + twidCoefModifier; + + // loop for butterfly + i = j; + m = fftLen / n1; + do + { + l = i + n2; + xt = pSrc[2 * i] - pSrc[2 * l]; + pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]) >> 1U; + + yt = pSrc[2 * i + 1] - pSrc[2 * l + 1]; + pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]) >> 1U; + + mult_32x32_keep32_R(p0, xt, cosVal); + mult_32x32_keep32_R(p1, yt, cosVal); + multAcc_32x32_keep32_R(p0, yt, sinVal); + multSub_32x32_keep32_R(p1, xt, sinVal); + + pSrc[2U * l] = p0; + pSrc[2U * l + 1U] = p1; + i += n1; + m--; + } while ( m > 0); // butterfly loop end + + } // groups loop end + + twidCoefModifier <<= 1U; + } // stages loop end + + n1 = n2; + n2 = n2 >> 1; + ia = 0; + + cosVal = pCoef[ia * 2]; + sinVal = pCoef[(ia * 2) + 1]; + ia = ia + twidCoefModifier; + + // loop for butterfly + for (i = 0; i < fftLen; i += n1) + { + l = i + n2; + xt = pSrc[2 * i] - pSrc[2 * l]; + pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]); + + yt = pSrc[2 * i + 1] - pSrc[2 * l + 1]; + pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]); + + pSrc[2U * l] = xt; + + pSrc[2U * l + 1U] = yt; + + i += n1; + l = i + n2; + + xt = pSrc[2 * i] - pSrc[2 * l]; + pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]); + + yt = pSrc[2 * i + 1] - pSrc[2 * l + 1]; + pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]); + + pSrc[2U * l] = xt; + + pSrc[2U * l + 1U] = yt; + + } // butterfly loop end + +} + + +void arm_radix2_butterfly_inverse_q31( +q31_t * pSrc, +uint32_t fftLen, +q31_t * pCoef, +uint16_t twidCoefModifier) +{ + + unsigned i, j, k, l; + unsigned n1, n2, ia; + q31_t xt, yt, cosVal, sinVal; + q31_t p0, p1; + + //N = fftLen; + n2 = fftLen; + + n1 = n2; + n2 = n2 >> 1; + ia = 0; + + // loop for groups + for (i = 0; i < n2; i++) + { + cosVal = pCoef[ia * 2]; + sinVal = pCoef[(ia * 2) + 1]; + ia = ia + twidCoefModifier; + + l = i + n2; + xt = (pSrc[2 * i] >> 1U) - (pSrc[2 * l] >> 1U); + pSrc[2 * i] = ((pSrc[2 * i] >> 1U) + (pSrc[2 * l] >> 1U)) >> 1U; + + yt = (pSrc[2 * i + 1] >> 1U) - (pSrc[2 * l + 1] >> 1U); + pSrc[2 * i + 1] = + ((pSrc[2 * l + 1] >> 1U) + (pSrc[2 * i + 1] >> 1U)) >> 1U; + + mult_32x32_keep32_R(p0, xt, cosVal); + mult_32x32_keep32_R(p1, yt, cosVal); + multSub_32x32_keep32_R(p0, yt, sinVal); + multAcc_32x32_keep32_R(p1, xt, sinVal); + + pSrc[2U * l] = p0; + pSrc[2U * l + 1U] = p1; + } // groups loop end + + twidCoefModifier = twidCoefModifier << 1U; + + // loop for stage + for (k = fftLen / 2; k > 2; k = k >> 1) + { + n1 = n2; + n2 = n2 >> 1; + ia = 0; + + // loop for groups + for (j = 0; j < n2; j++) + { + cosVal = pCoef[ia * 2]; + sinVal = pCoef[(ia * 2) + 1]; + ia = ia + twidCoefModifier; + + // loop for butterfly + for (i = j; i < fftLen; i += n1) + { + l = i + n2; + xt = pSrc[2 * i] - pSrc[2 * l]; + pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]) >> 1U; + + yt = pSrc[2 * i + 1] - pSrc[2 * l + 1]; + pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]) >> 1U; + + mult_32x32_keep32_R(p0, xt, cosVal); + mult_32x32_keep32_R(p1, yt, cosVal); + multSub_32x32_keep32_R(p0, yt, sinVal); + multAcc_32x32_keep32_R(p1, xt, sinVal); + + pSrc[2U * l] = p0; + pSrc[2U * l + 1U] = p1; + } // butterfly loop end + + } // groups loop end + + twidCoefModifier = twidCoefModifier << 1U; + } // stages loop end + + n1 = n2; + n2 = n2 >> 1; + ia = 0; + + cosVal = pCoef[ia * 2]; + sinVal = pCoef[(ia * 2) + 1]; + ia = ia + twidCoefModifier; + + // loop for butterfly + for (i = 0; i < fftLen; i += n1) + { + l = i + n2; + xt = pSrc[2 * i] - pSrc[2 * l]; + pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]); + + yt = pSrc[2 * i + 1] - pSrc[2 * l + 1]; + pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]); + + pSrc[2U * l] = xt; + + pSrc[2U * l + 1U] = yt; + + i += n1; + l = i + n2; + + xt = pSrc[2 * i] - pSrc[2 * l]; + pSrc[2 * i] = (pSrc[2 * i] + pSrc[2 * l]); + + yt = pSrc[2 * i + 1] - pSrc[2 * l + 1]; + pSrc[2 * i + 1] = (pSrc[2 * l + 1] + pSrc[2 * i + 1]); + + pSrc[2U * l] = xt; + + pSrc[2U * l + 1U] = yt; + + } // butterfly loop end + +} diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix4_f32.c b/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix4_f32.c new file mode 100644 index 0000000..dbbcca7 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix4_f32.c @@ -0,0 +1,1209 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_cfft_radix4_f32.c + * Description: Radix-4 Decimation in Frequency CFFT & CIFFT Floating point processing function + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +extern void arm_bitreversal_f32( +float32_t * pSrc, +uint16_t fftSize, +uint16_t bitRevFactor, +uint16_t * pBitRevTab); + +void arm_radix4_butterfly_f32( +float32_t * pSrc, +uint16_t fftLen, +float32_t * pCoef, +uint16_t twidCoefModifier); + +void arm_radix4_butterfly_inverse_f32( +float32_t * pSrc, +uint16_t fftLen, +float32_t * pCoef, +uint16_t twidCoefModifier, +float32_t onebyfftLen); + + +/** +* @ingroup groupTransforms +*/ + +/** +* @addtogroup ComplexFFT +* @{ +*/ + +/** +* @details +* @brief Processing function for the floating-point Radix-4 CFFT/CIFFT. +* @deprecated Do not use this function. It has been superseded by \ref arm_cfft_f32 and will be removed +* in the future. +* @param[in] *S points to an instance of the floating-point Radix-4 CFFT/CIFFT structure. +* @param[in, out] *pSrc points to the complex data buffer of size 2*fftLen. Processing occurs in-place. +* @return none. +*/ + +void arm_cfft_radix4_f32( + const arm_cfft_radix4_instance_f32 * S, + float32_t * pSrc) +{ + if (S->ifftFlag == 1U) + { + /* Complex IFFT radix-4 */ + arm_radix4_butterfly_inverse_f32(pSrc, S->fftLen, S->pTwiddle, S->twidCoefModifier, S->onebyfftLen); + } + else + { + /* Complex FFT radix-4 */ + arm_radix4_butterfly_f32(pSrc, S->fftLen, S->pTwiddle, S->twidCoefModifier); + } + + if (S->bitReverseFlag == 1U) + { + /* Bit Reversal */ + arm_bitreversal_f32(pSrc, S->fftLen, S->bitRevFactor, S->pBitRevTable); + } + +} + +/** +* @} end of ComplexFFT group +*/ + +/* ---------------------------------------------------------------------- + * Internal helper function used by the FFTs + * ---------------------------------------------------------------------- */ + +/* +* @brief Core function for the floating-point CFFT butterfly process. +* @param[in, out] *pSrc points to the in-place buffer of floating-point data type. +* @param[in] fftLen length of the FFT. +* @param[in] *pCoef points to the twiddle coefficient buffer. +* @param[in] twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. +* @return none. +*/ + +void arm_radix4_butterfly_f32( +float32_t * pSrc, +uint16_t fftLen, +float32_t * pCoef, +uint16_t twidCoefModifier) +{ + + float32_t co1, co2, co3, si1, si2, si3; + uint32_t ia1, ia2, ia3; + uint32_t i0, i1, i2, i3; + uint32_t n1, n2, j, k; + +#if defined (ARM_MATH_DSP) + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + float32_t xaIn, yaIn, xbIn, ybIn, xcIn, ycIn, xdIn, ydIn; + float32_t Xaplusc, Xbplusd, Yaplusc, Ybplusd, Xaminusc, Xbminusd, Yaminusc, + Ybminusd; + float32_t Xb12C_out, Yb12C_out, Xc12C_out, Yc12C_out, Xd12C_out, Yd12C_out; + float32_t Xb12_out, Yb12_out, Xc12_out, Yc12_out, Xd12_out, Yd12_out; + float32_t *ptr1; + float32_t p0,p1,p2,p3,p4,p5; + float32_t a0,a1,a2,a3,a4,a5,a6,a7; + + /* Initializations for the first stage */ + n2 = fftLen; + n1 = n2; + + /* n2 = fftLen/4 */ + n2 >>= 2U; + i0 = 0U; + ia1 = 0U; + + j = n2; + + /* Calculation of first stage */ + do + { + /* index calculation for the input as, */ + /* pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2], pSrc[i0 + 3fftLen/4] */ + i1 = i0 + n2; + i2 = i1 + n2; + i3 = i2 + n2; + + xaIn = pSrc[(2U * i0)]; + yaIn = pSrc[(2U * i0) + 1U]; + + xbIn = pSrc[(2U * i1)]; + ybIn = pSrc[(2U * i1) + 1U]; + + xcIn = pSrc[(2U * i2)]; + ycIn = pSrc[(2U * i2) + 1U]; + + xdIn = pSrc[(2U * i3)]; + ydIn = pSrc[(2U * i3) + 1U]; + + /* xa + xc */ + Xaplusc = xaIn + xcIn; + /* xb + xd */ + Xbplusd = xbIn + xdIn; + /* ya + yc */ + Yaplusc = yaIn + ycIn; + /* yb + yd */ + Ybplusd = ybIn + ydIn; + + /* index calculation for the coefficients */ + ia2 = ia1 + ia1; + co2 = pCoef[ia2 * 2U]; + si2 = pCoef[(ia2 * 2U) + 1U]; + + /* xa - xc */ + Xaminusc = xaIn - xcIn; + /* xb - xd */ + Xbminusd = xbIn - xdIn; + /* ya - yc */ + Yaminusc = yaIn - ycIn; + /* yb - yd */ + Ybminusd = ybIn - ydIn; + + /* xa' = xa + xb + xc + xd */ + pSrc[(2U * i0)] = Xaplusc + Xbplusd; + /* ya' = ya + yb + yc + yd */ + pSrc[(2U * i0) + 1U] = Yaplusc + Ybplusd; + + /* (xa - xc) + (yb - yd) */ + Xb12C_out = (Xaminusc + Ybminusd); + /* (ya - yc) + (xb - xd) */ + Yb12C_out = (Yaminusc - Xbminusd); + /* (xa + xc) - (xb + xd) */ + Xc12C_out = (Xaplusc - Xbplusd); + /* (ya + yc) - (yb + yd) */ + Yc12C_out = (Yaplusc - Ybplusd); + /* (xa - xc) - (yb - yd) */ + Xd12C_out = (Xaminusc - Ybminusd); + /* (ya - yc) + (xb - xd) */ + Yd12C_out = (Xbminusd + Yaminusc); + + co1 = pCoef[ia1 * 2U]; + si1 = pCoef[(ia1 * 2U) + 1U]; + + /* index calculation for the coefficients */ + ia3 = ia2 + ia1; + co3 = pCoef[ia3 * 2U]; + si3 = pCoef[(ia3 * 2U) + 1U]; + + Xb12_out = Xb12C_out * co1; + Yb12_out = Yb12C_out * co1; + Xc12_out = Xc12C_out * co2; + Yc12_out = Yc12C_out * co2; + Xd12_out = Xd12C_out * co3; + Yd12_out = Yd12C_out * co3; + + /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */ + //Xb12_out -= Yb12C_out * si1; + p0 = Yb12C_out * si1; + /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */ + //Yb12_out += Xb12C_out * si1; + p1 = Xb12C_out * si1; + /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */ + //Xc12_out -= Yc12C_out * si2; + p2 = Yc12C_out * si2; + /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */ + //Yc12_out += Xc12C_out * si2; + p3 = Xc12C_out * si2; + /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */ + //Xd12_out -= Yd12C_out * si3; + p4 = Yd12C_out * si3; + /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */ + //Yd12_out += Xd12C_out * si3; + p5 = Xd12C_out * si3; + + Xb12_out += p0; + Yb12_out -= p1; + Xc12_out += p2; + Yc12_out -= p3; + Xd12_out += p4; + Yd12_out -= p5; + + /* xc' = (xa-xb+xc-xd)co2 + (ya-yb+yc-yd)(si2) */ + pSrc[2U * i1] = Xc12_out; + + /* yc' = (ya-yb+yc-yd)co2 - (xa-xb+xc-xd)(si2) */ + pSrc[(2U * i1) + 1U] = Yc12_out; + + /* xb' = (xa+yb-xc-yd)co1 + (ya-xb-yc+xd)(si1) */ + pSrc[2U * i2] = Xb12_out; + + /* yb' = (ya-xb-yc+xd)co1 - (xa+yb-xc-yd)(si1) */ + pSrc[(2U * i2) + 1U] = Yb12_out; + + /* xd' = (xa-yb-xc+yd)co3 + (ya+xb-yc-xd)(si3) */ + pSrc[2U * i3] = Xd12_out; + + /* yd' = (ya+xb-yc-xd)co3 - (xa-yb-xc+yd)(si3) */ + pSrc[(2U * i3) + 1U] = Yd12_out; + + /* Twiddle coefficients index modifier */ + ia1 += twidCoefModifier; + + /* Updating input index */ + i0++; + + } + while (--j); + + twidCoefModifier <<= 2U; + + /* Calculation of second stage to excluding last stage */ + for (k = fftLen >> 2U; k > 4U; k >>= 2U) + { + /* Initializations for the first stage */ + n1 = n2; + n2 >>= 2U; + ia1 = 0U; + + /* Calculation of first stage */ + j = 0; + do + { + /* index calculation for the coefficients */ + ia2 = ia1 + ia1; + ia3 = ia2 + ia1; + co1 = pCoef[ia1 * 2U]; + si1 = pCoef[(ia1 * 2U) + 1U]; + co2 = pCoef[ia2 * 2U]; + si2 = pCoef[(ia2 * 2U) + 1U]; + co3 = pCoef[ia3 * 2U]; + si3 = pCoef[(ia3 * 2U) + 1U]; + + /* Twiddle coefficients index modifier */ + ia1 += twidCoefModifier; + + i0 = j; + do + { + /* index calculation for the input as, */ + /* pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2], pSrc[i0 + 3fftLen/4] */ + i1 = i0 + n2; + i2 = i1 + n2; + i3 = i2 + n2; + + xaIn = pSrc[(2U * i0)]; + yaIn = pSrc[(2U * i0) + 1U]; + + xbIn = pSrc[(2U * i1)]; + ybIn = pSrc[(2U * i1) + 1U]; + + xcIn = pSrc[(2U * i2)]; + ycIn = pSrc[(2U * i2) + 1U]; + + xdIn = pSrc[(2U * i3)]; + ydIn = pSrc[(2U * i3) + 1U]; + + /* xa - xc */ + Xaminusc = xaIn - xcIn; + /* (xb - xd) */ + Xbminusd = xbIn - xdIn; + /* ya - yc */ + Yaminusc = yaIn - ycIn; + /* (yb - yd) */ + Ybminusd = ybIn - ydIn; + + /* xa + xc */ + Xaplusc = xaIn + xcIn; + /* xb + xd */ + Xbplusd = xbIn + xdIn; + /* ya + yc */ + Yaplusc = yaIn + ycIn; + /* yb + yd */ + Ybplusd = ybIn + ydIn; + + /* (xa - xc) + (yb - yd) */ + Xb12C_out = (Xaminusc + Ybminusd); + /* (ya - yc) - (xb - xd) */ + Yb12C_out = (Yaminusc - Xbminusd); + /* xa + xc -(xb + xd) */ + Xc12C_out = (Xaplusc - Xbplusd); + /* (ya + yc) - (yb + yd) */ + Yc12C_out = (Yaplusc - Ybplusd); + /* (xa - xc) - (yb - yd) */ + Xd12C_out = (Xaminusc - Ybminusd); + /* (ya - yc) + (xb - xd) */ + Yd12C_out = (Xbminusd + Yaminusc); + + pSrc[(2U * i0)] = Xaplusc + Xbplusd; + pSrc[(2U * i0) + 1U] = Yaplusc + Ybplusd; + + Xb12_out = Xb12C_out * co1; + Yb12_out = Yb12C_out * co1; + Xc12_out = Xc12C_out * co2; + Yc12_out = Yc12C_out * co2; + Xd12_out = Xd12C_out * co3; + Yd12_out = Yd12C_out * co3; + + /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */ + //Xb12_out -= Yb12C_out * si1; + p0 = Yb12C_out * si1; + /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */ + //Yb12_out += Xb12C_out * si1; + p1 = Xb12C_out * si1; + /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */ + //Xc12_out -= Yc12C_out * si2; + p2 = Yc12C_out * si2; + /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */ + //Yc12_out += Xc12C_out * si2; + p3 = Xc12C_out * si2; + /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */ + //Xd12_out -= Yd12C_out * si3; + p4 = Yd12C_out * si3; + /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */ + //Yd12_out += Xd12C_out * si3; + p5 = Xd12C_out * si3; + + Xb12_out += p0; + Yb12_out -= p1; + Xc12_out += p2; + Yc12_out -= p3; + Xd12_out += p4; + Yd12_out -= p5; + + /* xc' = (xa-xb+xc-xd)co2 + (ya-yb+yc-yd)(si2) */ + pSrc[2U * i1] = Xc12_out; + + /* yc' = (ya-yb+yc-yd)co2 - (xa-xb+xc-xd)(si2) */ + pSrc[(2U * i1) + 1U] = Yc12_out; + + /* xb' = (xa+yb-xc-yd)co1 + (ya-xb-yc+xd)(si1) */ + pSrc[2U * i2] = Xb12_out; + + /* yb' = (ya-xb-yc+xd)co1 - (xa+yb-xc-yd)(si1) */ + pSrc[(2U * i2) + 1U] = Yb12_out; + + /* xd' = (xa-yb-xc+yd)co3 + (ya+xb-yc-xd)(si3) */ + pSrc[2U * i3] = Xd12_out; + + /* yd' = (ya+xb-yc-xd)co3 - (xa-yb-xc+yd)(si3) */ + pSrc[(2U * i3) + 1U] = Yd12_out; + + i0 += n1; + } while (i0 < fftLen); + j++; + } while (j <= (n2 - 1U)); + twidCoefModifier <<= 2U; + } + + j = fftLen >> 2; + ptr1 = &pSrc[0]; + + /* Calculations of last stage */ + do + { + xaIn = ptr1[0]; + yaIn = ptr1[1]; + xbIn = ptr1[2]; + ybIn = ptr1[3]; + xcIn = ptr1[4]; + ycIn = ptr1[5]; + xdIn = ptr1[6]; + ydIn = ptr1[7]; + + /* xa + xc */ + Xaplusc = xaIn + xcIn; + + /* xa - xc */ + Xaminusc = xaIn - xcIn; + + /* ya + yc */ + Yaplusc = yaIn + ycIn; + + /* ya - yc */ + Yaminusc = yaIn - ycIn; + + /* xb + xd */ + Xbplusd = xbIn + xdIn; + + /* yb + yd */ + Ybplusd = ybIn + ydIn; + + /* (xb-xd) */ + Xbminusd = xbIn - xdIn; + + /* (yb-yd) */ + Ybminusd = ybIn - ydIn; + + /* xa' = xa + xb + xc + xd */ + a0 = (Xaplusc + Xbplusd); + /* ya' = ya + yb + yc + yd */ + a1 = (Yaplusc + Ybplusd); + /* xc' = (xa-xb+xc-xd) */ + a2 = (Xaplusc - Xbplusd); + /* yc' = (ya-yb+yc-yd) */ + a3 = (Yaplusc - Ybplusd); + /* xb' = (xa+yb-xc-yd) */ + a4 = (Xaminusc + Ybminusd); + /* yb' = (ya-xb-yc+xd) */ + a5 = (Yaminusc - Xbminusd); + /* xd' = (xa-yb-xc+yd)) */ + a6 = (Xaminusc - Ybminusd); + /* yd' = (ya+xb-yc-xd) */ + a7 = (Xbminusd + Yaminusc); + + ptr1[0] = a0; + ptr1[1] = a1; + ptr1[2] = a2; + ptr1[3] = a3; + ptr1[4] = a4; + ptr1[5] = a5; + ptr1[6] = a6; + ptr1[7] = a7; + + /* increment pointer by 8 */ + ptr1 += 8U; + } while (--j); + +#else + + float32_t t1, t2, r1, r2, s1, s2; + + /* Run the below code for Cortex-M0 */ + + /* Initializations for the fft calculation */ + n2 = fftLen; + n1 = n2; + for (k = fftLen; k > 1U; k >>= 2U) + { + /* Initializations for the fft calculation */ + n1 = n2; + n2 >>= 2U; + ia1 = 0U; + + /* FFT Calculation */ + j = 0; + do + { + /* index calculation for the coefficients */ + ia2 = ia1 + ia1; + ia3 = ia2 + ia1; + co1 = pCoef[ia1 * 2U]; + si1 = pCoef[(ia1 * 2U) + 1U]; + co2 = pCoef[ia2 * 2U]; + si2 = pCoef[(ia2 * 2U) + 1U]; + co3 = pCoef[ia3 * 2U]; + si3 = pCoef[(ia3 * 2U) + 1U]; + + /* Twiddle coefficients index modifier */ + ia1 = ia1 + twidCoefModifier; + + i0 = j; + do + { + /* index calculation for the input as, */ + /* pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2], pSrc[i0 + 3fftLen/4] */ + i1 = i0 + n2; + i2 = i1 + n2; + i3 = i2 + n2; + + /* xa + xc */ + r1 = pSrc[(2U * i0)] + pSrc[(2U * i2)]; + + /* xa - xc */ + r2 = pSrc[(2U * i0)] - pSrc[(2U * i2)]; + + /* ya + yc */ + s1 = pSrc[(2U * i0) + 1U] + pSrc[(2U * i2) + 1U]; + + /* ya - yc */ + s2 = pSrc[(2U * i0) + 1U] - pSrc[(2U * i2) + 1U]; + + /* xb + xd */ + t1 = pSrc[2U * i1] + pSrc[2U * i3]; + + /* xa' = xa + xb + xc + xd */ + pSrc[2U * i0] = r1 + t1; + + /* xa + xc -(xb + xd) */ + r1 = r1 - t1; + + /* yb + yd */ + t2 = pSrc[(2U * i1) + 1U] + pSrc[(2U * i3) + 1U]; + + /* ya' = ya + yb + yc + yd */ + pSrc[(2U * i0) + 1U] = s1 + t2; + + /* (ya + yc) - (yb + yd) */ + s1 = s1 - t2; + + /* (yb - yd) */ + t1 = pSrc[(2U * i1) + 1U] - pSrc[(2U * i3) + 1U]; + + /* (xb - xd) */ + t2 = pSrc[2U * i1] - pSrc[2U * i3]; + + /* xc' = (xa-xb+xc-xd)co2 + (ya-yb+yc-yd)(si2) */ + pSrc[2U * i1] = (r1 * co2) + (s1 * si2); + + /* yc' = (ya-yb+yc-yd)co2 - (xa-xb+xc-xd)(si2) */ + pSrc[(2U * i1) + 1U] = (s1 * co2) - (r1 * si2); + + /* (xa - xc) + (yb - yd) */ + r1 = r2 + t1; + + /* (xa - xc) - (yb - yd) */ + r2 = r2 - t1; + + /* (ya - yc) - (xb - xd) */ + s1 = s2 - t2; + + /* (ya - yc) + (xb - xd) */ + s2 = s2 + t2; + + /* xb' = (xa+yb-xc-yd)co1 + (ya-xb-yc+xd)(si1) */ + pSrc[2U * i2] = (r1 * co1) + (s1 * si1); + + /* yb' = (ya-xb-yc+xd)co1 - (xa+yb-xc-yd)(si1) */ + pSrc[(2U * i2) + 1U] = (s1 * co1) - (r1 * si1); + + /* xd' = (xa-yb-xc+yd)co3 + (ya+xb-yc-xd)(si3) */ + pSrc[2U * i3] = (r2 * co3) + (s2 * si3); + + /* yd' = (ya+xb-yc-xd)co3 - (xa-yb-xc+yd)(si3) */ + pSrc[(2U * i3) + 1U] = (s2 * co3) - (r2 * si3); + + i0 += n1; + } while ( i0 < fftLen); + j++; + } while (j <= (n2 - 1U)); + twidCoefModifier <<= 2U; + } + +#endif /* #if defined (ARM_MATH_DSP) */ + +} + +/* +* @brief Core function for the floating-point CIFFT butterfly process. +* @param[in, out] *pSrc points to the in-place buffer of floating-point data type. +* @param[in] fftLen length of the FFT. +* @param[in] *pCoef points to twiddle coefficient buffer. +* @param[in] twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. +* @param[in] onebyfftLen value of 1/fftLen. +* @return none. +*/ + +void arm_radix4_butterfly_inverse_f32( +float32_t * pSrc, +uint16_t fftLen, +float32_t * pCoef, +uint16_t twidCoefModifier, +float32_t onebyfftLen) +{ + float32_t co1, co2, co3, si1, si2, si3; + uint32_t ia1, ia2, ia3; + uint32_t i0, i1, i2, i3; + uint32_t n1, n2, j, k; + +#if defined (ARM_MATH_DSP) + + float32_t xaIn, yaIn, xbIn, ybIn, xcIn, ycIn, xdIn, ydIn; + float32_t Xaplusc, Xbplusd, Yaplusc, Ybplusd, Xaminusc, Xbminusd, Yaminusc, + Ybminusd; + float32_t Xb12C_out, Yb12C_out, Xc12C_out, Yc12C_out, Xd12C_out, Yd12C_out; + float32_t Xb12_out, Yb12_out, Xc12_out, Yc12_out, Xd12_out, Yd12_out; + float32_t *ptr1; + float32_t p0,p1,p2,p3,p4,p5,p6,p7; + float32_t a0,a1,a2,a3,a4,a5,a6,a7; + + + /* Initializations for the first stage */ + n2 = fftLen; + n1 = n2; + + /* n2 = fftLen/4 */ + n2 >>= 2U; + i0 = 0U; + ia1 = 0U; + + j = n2; + + /* Calculation of first stage */ + do + { + /* index calculation for the input as, */ + /* pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2], pSrc[i0 + 3fftLen/4] */ + i1 = i0 + n2; + i2 = i1 + n2; + i3 = i2 + n2; + + /* Butterfly implementation */ + xaIn = pSrc[(2U * i0)]; + yaIn = pSrc[(2U * i0) + 1U]; + + xcIn = pSrc[(2U * i2)]; + ycIn = pSrc[(2U * i2) + 1U]; + + xbIn = pSrc[(2U * i1)]; + ybIn = pSrc[(2U * i1) + 1U]; + + xdIn = pSrc[(2U * i3)]; + ydIn = pSrc[(2U * i3) + 1U]; + + /* xa + xc */ + Xaplusc = xaIn + xcIn; + /* xb + xd */ + Xbplusd = xbIn + xdIn; + /* ya + yc */ + Yaplusc = yaIn + ycIn; + /* yb + yd */ + Ybplusd = ybIn + ydIn; + + /* index calculation for the coefficients */ + ia2 = ia1 + ia1; + co2 = pCoef[ia2 * 2U]; + si2 = pCoef[(ia2 * 2U) + 1U]; + + /* xa - xc */ + Xaminusc = xaIn - xcIn; + /* xb - xd */ + Xbminusd = xbIn - xdIn; + /* ya - yc */ + Yaminusc = yaIn - ycIn; + /* yb - yd */ + Ybminusd = ybIn - ydIn; + + /* xa' = xa + xb + xc + xd */ + pSrc[(2U * i0)] = Xaplusc + Xbplusd; + + /* ya' = ya + yb + yc + yd */ + pSrc[(2U * i0) + 1U] = Yaplusc + Ybplusd; + + /* (xa - xc) - (yb - yd) */ + Xb12C_out = (Xaminusc - Ybminusd); + /* (ya - yc) + (xb - xd) */ + Yb12C_out = (Yaminusc + Xbminusd); + /* (xa + xc) - (xb + xd) */ + Xc12C_out = (Xaplusc - Xbplusd); + /* (ya + yc) - (yb + yd) */ + Yc12C_out = (Yaplusc - Ybplusd); + /* (xa - xc) + (yb - yd) */ + Xd12C_out = (Xaminusc + Ybminusd); + /* (ya - yc) - (xb - xd) */ + Yd12C_out = (Yaminusc - Xbminusd); + + co1 = pCoef[ia1 * 2U]; + si1 = pCoef[(ia1 * 2U) + 1U]; + + /* index calculation for the coefficients */ + ia3 = ia2 + ia1; + co3 = pCoef[ia3 * 2U]; + si3 = pCoef[(ia3 * 2U) + 1U]; + + Xb12_out = Xb12C_out * co1; + Yb12_out = Yb12C_out * co1; + Xc12_out = Xc12C_out * co2; + Yc12_out = Yc12C_out * co2; + Xd12_out = Xd12C_out * co3; + Yd12_out = Yd12C_out * co3; + + /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */ + //Xb12_out -= Yb12C_out * si1; + p0 = Yb12C_out * si1; + /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */ + //Yb12_out += Xb12C_out * si1; + p1 = Xb12C_out * si1; + /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */ + //Xc12_out -= Yc12C_out * si2; + p2 = Yc12C_out * si2; + /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */ + //Yc12_out += Xc12C_out * si2; + p3 = Xc12C_out * si2; + /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */ + //Xd12_out -= Yd12C_out * si3; + p4 = Yd12C_out * si3; + /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */ + //Yd12_out += Xd12C_out * si3; + p5 = Xd12C_out * si3; + + Xb12_out -= p0; + Yb12_out += p1; + Xc12_out -= p2; + Yc12_out += p3; + Xd12_out -= p4; + Yd12_out += p5; + + /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */ + pSrc[2U * i1] = Xc12_out; + + /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */ + pSrc[(2U * i1) + 1U] = Yc12_out; + + /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */ + pSrc[2U * i2] = Xb12_out; + + /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */ + pSrc[(2U * i2) + 1U] = Yb12_out; + + /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */ + pSrc[2U * i3] = Xd12_out; + + /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */ + pSrc[(2U * i3) + 1U] = Yd12_out; + + /* Twiddle coefficients index modifier */ + ia1 = ia1 + twidCoefModifier; + + /* Updating input index */ + i0 = i0 + 1U; + + } while (--j); + + twidCoefModifier <<= 2U; + + /* Calculation of second stage to excluding last stage */ + for (k = fftLen >> 2U; k > 4U; k >>= 2U) + { + /* Initializations for the first stage */ + n1 = n2; + n2 >>= 2U; + ia1 = 0U; + + /* Calculation of first stage */ + j = 0; + do + { + /* index calculation for the coefficients */ + ia2 = ia1 + ia1; + ia3 = ia2 + ia1; + co1 = pCoef[ia1 * 2U]; + si1 = pCoef[(ia1 * 2U) + 1U]; + co2 = pCoef[ia2 * 2U]; + si2 = pCoef[(ia2 * 2U) + 1U]; + co3 = pCoef[ia3 * 2U]; + si3 = pCoef[(ia3 * 2U) + 1U]; + + /* Twiddle coefficients index modifier */ + ia1 = ia1 + twidCoefModifier; + + i0 = j; + do + { + /* index calculation for the input as, */ + /* pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2], pSrc[i0 + 3fftLen/4] */ + i1 = i0 + n2; + i2 = i1 + n2; + i3 = i2 + n2; + + xaIn = pSrc[(2U * i0)]; + yaIn = pSrc[(2U * i0) + 1U]; + + xbIn = pSrc[(2U * i1)]; + ybIn = pSrc[(2U * i1) + 1U]; + + xcIn = pSrc[(2U * i2)]; + ycIn = pSrc[(2U * i2) + 1U]; + + xdIn = pSrc[(2U * i3)]; + ydIn = pSrc[(2U * i3) + 1U]; + + /* xa - xc */ + Xaminusc = xaIn - xcIn; + /* (xb - xd) */ + Xbminusd = xbIn - xdIn; + /* ya - yc */ + Yaminusc = yaIn - ycIn; + /* (yb - yd) */ + Ybminusd = ybIn - ydIn; + + /* xa + xc */ + Xaplusc = xaIn + xcIn; + /* xb + xd */ + Xbplusd = xbIn + xdIn; + /* ya + yc */ + Yaplusc = yaIn + ycIn; + /* yb + yd */ + Ybplusd = ybIn + ydIn; + + /* (xa - xc) - (yb - yd) */ + Xb12C_out = (Xaminusc - Ybminusd); + /* (ya - yc) + (xb - xd) */ + Yb12C_out = (Yaminusc + Xbminusd); + /* xa + xc -(xb + xd) */ + Xc12C_out = (Xaplusc - Xbplusd); + /* (ya + yc) - (yb + yd) */ + Yc12C_out = (Yaplusc - Ybplusd); + /* (xa - xc) + (yb - yd) */ + Xd12C_out = (Xaminusc + Ybminusd); + /* (ya - yc) - (xb - xd) */ + Yd12C_out = (Yaminusc - Xbminusd); + + pSrc[(2U * i0)] = Xaplusc + Xbplusd; + pSrc[(2U * i0) + 1U] = Yaplusc + Ybplusd; + + Xb12_out = Xb12C_out * co1; + Yb12_out = Yb12C_out * co1; + Xc12_out = Xc12C_out * co2; + Yc12_out = Yc12C_out * co2; + Xd12_out = Xd12C_out * co3; + Yd12_out = Yd12C_out * co3; + + /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */ + //Xb12_out -= Yb12C_out * si1; + p0 = Yb12C_out * si1; + /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */ + //Yb12_out += Xb12C_out * si1; + p1 = Xb12C_out * si1; + /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */ + //Xc12_out -= Yc12C_out * si2; + p2 = Yc12C_out * si2; + /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */ + //Yc12_out += Xc12C_out * si2; + p3 = Xc12C_out * si2; + /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */ + //Xd12_out -= Yd12C_out * si3; + p4 = Yd12C_out * si3; + /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */ + //Yd12_out += Xd12C_out * si3; + p5 = Xd12C_out * si3; + + Xb12_out -= p0; + Yb12_out += p1; + Xc12_out -= p2; + Yc12_out += p3; + Xd12_out -= p4; + Yd12_out += p5; + + /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */ + pSrc[2U * i1] = Xc12_out; + + /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */ + pSrc[(2U * i1) + 1U] = Yc12_out; + + /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */ + pSrc[2U * i2] = Xb12_out; + + /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */ + pSrc[(2U * i2) + 1U] = Yb12_out; + + /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */ + pSrc[2U * i3] = Xd12_out; + + /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */ + pSrc[(2U * i3) + 1U] = Yd12_out; + + i0 += n1; + } while (i0 < fftLen); + j++; + } while (j <= (n2 - 1U)); + twidCoefModifier <<= 2U; + } + /* Initializations of last stage */ + + j = fftLen >> 2; + ptr1 = &pSrc[0]; + + /* Calculations of last stage */ + do + { + xaIn = ptr1[0]; + yaIn = ptr1[1]; + xbIn = ptr1[2]; + ybIn = ptr1[3]; + xcIn = ptr1[4]; + ycIn = ptr1[5]; + xdIn = ptr1[6]; + ydIn = ptr1[7]; + + /* Butterfly implementation */ + /* xa + xc */ + Xaplusc = xaIn + xcIn; + + /* xa - xc */ + Xaminusc = xaIn - xcIn; + + /* ya + yc */ + Yaplusc = yaIn + ycIn; + + /* ya - yc */ + Yaminusc = yaIn - ycIn; + + /* xb + xd */ + Xbplusd = xbIn + xdIn; + + /* yb + yd */ + Ybplusd = ybIn + ydIn; + + /* (xb-xd) */ + Xbminusd = xbIn - xdIn; + + /* (yb-yd) */ + Ybminusd = ybIn - ydIn; + + /* xa' = (xa+xb+xc+xd) * onebyfftLen */ + a0 = (Xaplusc + Xbplusd); + /* ya' = (ya+yb+yc+yd) * onebyfftLen */ + a1 = (Yaplusc + Ybplusd); + /* xc' = (xa-xb+xc-xd) * onebyfftLen */ + a2 = (Xaplusc - Xbplusd); + /* yc' = (ya-yb+yc-yd) * onebyfftLen */ + a3 = (Yaplusc - Ybplusd); + /* xb' = (xa-yb-xc+yd) * onebyfftLen */ + a4 = (Xaminusc - Ybminusd); + /* yb' = (ya+xb-yc-xd) * onebyfftLen */ + a5 = (Yaminusc + Xbminusd); + /* xd' = (xa-yb-xc+yd) * onebyfftLen */ + a6 = (Xaminusc + Ybminusd); + /* yd' = (ya-xb-yc+xd) * onebyfftLen */ + a7 = (Yaminusc - Xbminusd); + + p0 = a0 * onebyfftLen; + p1 = a1 * onebyfftLen; + p2 = a2 * onebyfftLen; + p3 = a3 * onebyfftLen; + p4 = a4 * onebyfftLen; + p5 = a5 * onebyfftLen; + p6 = a6 * onebyfftLen; + p7 = a7 * onebyfftLen; + + /* xa' = (xa+xb+xc+xd) * onebyfftLen */ + ptr1[0] = p0; + /* ya' = (ya+yb+yc+yd) * onebyfftLen */ + ptr1[1] = p1; + /* xc' = (xa-xb+xc-xd) * onebyfftLen */ + ptr1[2] = p2; + /* yc' = (ya-yb+yc-yd) * onebyfftLen */ + ptr1[3] = p3; + /* xb' = (xa-yb-xc+yd) * onebyfftLen */ + ptr1[4] = p4; + /* yb' = (ya+xb-yc-xd) * onebyfftLen */ + ptr1[5] = p5; + /* xd' = (xa-yb-xc+yd) * onebyfftLen */ + ptr1[6] = p6; + /* yd' = (ya-xb-yc+xd) * onebyfftLen */ + ptr1[7] = p7; + + /* increment source pointer by 8 for next calculations */ + ptr1 = ptr1 + 8U; + + } while (--j); + +#else + + float32_t t1, t2, r1, r2, s1, s2; + + /* Run the below code for Cortex-M0 */ + + /* Initializations for the first stage */ + n2 = fftLen; + n1 = n2; + + /* Calculation of first stage */ + for (k = fftLen; k > 4U; k >>= 2U) + { + /* Initializations for the first stage */ + n1 = n2; + n2 >>= 2U; + ia1 = 0U; + + /* Calculation of first stage */ + j = 0; + do + { + /* index calculation for the coefficients */ + ia2 = ia1 + ia1; + ia3 = ia2 + ia1; + co1 = pCoef[ia1 * 2U]; + si1 = pCoef[(ia1 * 2U) + 1U]; + co2 = pCoef[ia2 * 2U]; + si2 = pCoef[(ia2 * 2U) + 1U]; + co3 = pCoef[ia3 * 2U]; + si3 = pCoef[(ia3 * 2U) + 1U]; + + /* Twiddle coefficients index modifier */ + ia1 = ia1 + twidCoefModifier; + + i0 = j; + do + { + /* index calculation for the input as, */ + /* pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2], pSrc[i0 + 3fftLen/4] */ + i1 = i0 + n2; + i2 = i1 + n2; + i3 = i2 + n2; + + /* xa + xc */ + r1 = pSrc[(2U * i0)] + pSrc[(2U * i2)]; + + /* xa - xc */ + r2 = pSrc[(2U * i0)] - pSrc[(2U * i2)]; + + /* ya + yc */ + s1 = pSrc[(2U * i0) + 1U] + pSrc[(2U * i2) + 1U]; + + /* ya - yc */ + s2 = pSrc[(2U * i0) + 1U] - pSrc[(2U * i2) + 1U]; + + /* xb + xd */ + t1 = pSrc[2U * i1] + pSrc[2U * i3]; + + /* xa' = xa + xb + xc + xd */ + pSrc[2U * i0] = r1 + t1; + + /* xa + xc -(xb + xd) */ + r1 = r1 - t1; + + /* yb + yd */ + t2 = pSrc[(2U * i1) + 1U] + pSrc[(2U * i3) + 1U]; + + /* ya' = ya + yb + yc + yd */ + pSrc[(2U * i0) + 1U] = s1 + t2; + + /* (ya + yc) - (yb + yd) */ + s1 = s1 - t2; + + /* (yb - yd) */ + t1 = pSrc[(2U * i1) + 1U] - pSrc[(2U * i3) + 1U]; + + /* (xb - xd) */ + t2 = pSrc[2U * i1] - pSrc[2U * i3]; + + /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */ + pSrc[2U * i1] = (r1 * co2) - (s1 * si2); + + /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */ + pSrc[(2U * i1) + 1U] = (s1 * co2) + (r1 * si2); + + /* (xa - xc) - (yb - yd) */ + r1 = r2 - t1; + + /* (xa - xc) + (yb - yd) */ + r2 = r2 + t1; + + /* (ya - yc) + (xb - xd) */ + s1 = s2 + t2; + + /* (ya - yc) - (xb - xd) */ + s2 = s2 - t2; + + /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */ + pSrc[2U * i2] = (r1 * co1) - (s1 * si1); + + /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */ + pSrc[(2U * i2) + 1U] = (s1 * co1) + (r1 * si1); + + /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */ + pSrc[2U * i3] = (r2 * co3) - (s2 * si3); + + /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */ + pSrc[(2U * i3) + 1U] = (s2 * co3) + (r2 * si3); + + i0 += n1; + } while ( i0 < fftLen); + j++; + } while (j <= (n2 - 1U)); + twidCoefModifier <<= 2U; + } + /* Initializations of last stage */ + n1 = n2; + n2 >>= 2U; + + /* Calculations of last stage */ + for (i0 = 0U; i0 <= (fftLen - n1); i0 += n1) + { + /* index calculation for the input as, */ + /* pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2], pSrc[i0 + 3fftLen/4] */ + i1 = i0 + n2; + i2 = i1 + n2; + i3 = i2 + n2; + + /* Butterfly implementation */ + /* xa + xc */ + r1 = pSrc[2U * i0] + pSrc[2U * i2]; + + /* xa - xc */ + r2 = pSrc[2U * i0] - pSrc[2U * i2]; + + /* ya + yc */ + s1 = pSrc[(2U * i0) + 1U] + pSrc[(2U * i2) + 1U]; + + /* ya - yc */ + s2 = pSrc[(2U * i0) + 1U] - pSrc[(2U * i2) + 1U]; + + /* xc + xd */ + t1 = pSrc[2U * i1] + pSrc[2U * i3]; + + /* xa' = xa + xb + xc + xd */ + pSrc[2U * i0] = (r1 + t1) * onebyfftLen; + + /* (xa + xb) - (xc + xd) */ + r1 = r1 - t1; + + /* yb + yd */ + t2 = pSrc[(2U * i1) + 1U] + pSrc[(2U * i3) + 1U]; + + /* ya' = ya + yb + yc + yd */ + pSrc[(2U * i0) + 1U] = (s1 + t2) * onebyfftLen; + + /* (ya + yc) - (yb + yd) */ + s1 = s1 - t2; + + /* (yb-yd) */ + t1 = pSrc[(2U * i1) + 1U] - pSrc[(2U * i3) + 1U]; + + /* (xb-xd) */ + t2 = pSrc[2U * i1] - pSrc[2U * i3]; + + /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */ + pSrc[2U * i1] = r1 * onebyfftLen; + + /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */ + pSrc[(2U * i1) + 1U] = s1 * onebyfftLen; + + /* (xa - xc) - (yb-yd) */ + r1 = r2 - t1; + + /* (xa - xc) + (yb-yd) */ + r2 = r2 + t1; + + /* (ya - yc) + (xb-xd) */ + s1 = s2 + t2; + + /* (ya - yc) - (xb-xd) */ + s2 = s2 - t2; + + /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */ + pSrc[2U * i2] = r1 * onebyfftLen; + + /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */ + pSrc[(2U * i2) + 1U] = s1 * onebyfftLen; + + /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */ + pSrc[2U * i3] = r2 * onebyfftLen; + + /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */ + pSrc[(2U * i3) + 1U] = s2 * onebyfftLen; + } + +#endif /* #if defined (ARM_MATH_DSP) */ +} + + diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix4_init_f32.c b/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix4_init_f32.c new file mode 100644 index 0000000..5383771 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix4_init_f32.c @@ -0,0 +1,152 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_cfft_radix4_init_f32.c + * Description: Radix-4 Decimation in Frequency Floating-point CFFT & CIFFT Initialization function + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include "arm_common_tables.h" + +/** + * @ingroup groupTransforms + */ + +/** + * @addtogroup ComplexFFT + * @{ + */ + +/** +* @brief Initialization function for the floating-point CFFT/CIFFT. +* @deprecated Do not use this function. It has been superceded by \ref arm_cfft_f32 and will be removed +* in the future. +* @param[in,out] *S points to an instance of the floating-point CFFT/CIFFT structure. +* @param[in] fftLen length of the FFT. +* @param[in] ifftFlag flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. +* @param[in] bitReverseFlag flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. +* @return The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if fftLen is not a supported value. +* +* \par Description: +* \par +* The parameter ifftFlag controls whether a forward or inverse transform is computed. +* Set(=1) ifftFlag for calculation of CIFFT otherwise CFFT is calculated +* \par +* The parameter bitReverseFlag controls whether output is in normal order or bit reversed order. +* Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order. +* \par +* The parameter fftLen Specifies length of CFFT/CIFFT process. Supported FFT Lengths are 16, 64, 256, 1024. +* \par +* This Function also initializes Twiddle factor table pointer and Bit reversal table pointer. +*/ + +arm_status arm_cfft_radix4_init_f32( + arm_cfft_radix4_instance_f32 * S, + uint16_t fftLen, + uint8_t ifftFlag, + uint8_t bitReverseFlag) +{ + /* Initialise the default arm status */ + arm_status status = ARM_MATH_SUCCESS; + + /* Initialise the FFT length */ + S->fftLen = fftLen; + + /* Initialise the Twiddle coefficient pointer */ + S->pTwiddle = (float32_t *) twiddleCoef; + + /* Initialise the Flag for selection of CFFT or CIFFT */ + S->ifftFlag = ifftFlag; + + /* Initialise the Flag for calculation Bit reversal or not */ + S->bitReverseFlag = bitReverseFlag; + + /* Initializations of structure parameters depending on the FFT length */ + switch (S->fftLen) + { + + case 4096U: + /* Initializations of structure parameters for 4096 point FFT */ + + /* Initialise the twiddle coef modifier value */ + S->twidCoefModifier = 1U; + /* Initialise the bit reversal table modifier */ + S->bitRevFactor = 1U; + /* Initialise the bit reversal table pointer */ + S->pBitRevTable = (uint16_t *) armBitRevTable; + /* Initialise the 1/fftLen Value */ + S->onebyfftLen = 0.000244140625; + break; + + case 1024U: + /* Initializations of structure parameters for 1024 point FFT */ + + /* Initialise the twiddle coef modifier value */ + S->twidCoefModifier = 4U; + /* Initialise the bit reversal table modifier */ + S->bitRevFactor = 4U; + /* Initialise the bit reversal table pointer */ + S->pBitRevTable = (uint16_t *) & armBitRevTable[3]; + /* Initialise the 1/fftLen Value */ + S->onebyfftLen = 0.0009765625f; + break; + + + case 256U: + /* Initializations of structure parameters for 256 point FFT */ + S->twidCoefModifier = 16U; + S->bitRevFactor = 16U; + S->pBitRevTable = (uint16_t *) & armBitRevTable[15]; + S->onebyfftLen = 0.00390625f; + break; + + case 64U: + /* Initializations of structure parameters for 64 point FFT */ + S->twidCoefModifier = 64U; + S->bitRevFactor = 64U; + S->pBitRevTable = (uint16_t *) & armBitRevTable[63]; + S->onebyfftLen = 0.015625f; + break; + + case 16U: + /* Initializations of structure parameters for 16 point FFT */ + S->twidCoefModifier = 256U; + S->bitRevFactor = 256U; + S->pBitRevTable = (uint16_t *) & armBitRevTable[255]; + S->onebyfftLen = 0.0625f; + break; + + + default: + /* Reporting argument error if fftSize is not valid value */ + status = ARM_MATH_ARGUMENT_ERROR; + break; + } + + return (status); +} + +/** + * @} end of ComplexFFT group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix4_init_q15.c b/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix4_init_q15.c new file mode 100644 index 0000000..b2e38b4 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix4_init_q15.c @@ -0,0 +1,140 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_cfft_radix4_init_q15.c + * Description: Radix-4 Decimation in Frequency Q15 FFT & IFFT initialization function + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include "arm_common_tables.h" + +/** + * @ingroup groupTransforms + */ + + +/** + * @addtogroup ComplexFFT + * @{ + */ + + +/** +* @brief Initialization function for the Q15 CFFT/CIFFT. +* @deprecated Do not use this function. It has been superseded by \ref arm_cfft_q15 and will be removed +* @param[in,out] *S points to an instance of the Q15 CFFT/CIFFT structure. +* @param[in] fftLen length of the FFT. +* @param[in] ifftFlag flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. +* @param[in] bitReverseFlag flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. +* @return The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if fftLen is not a supported value. +* +* \par Description: +* \par +* The parameter ifftFlag controls whether a forward or inverse transform is computed. +* Set(=1) ifftFlag for calculation of CIFFT otherwise CFFT is calculated +* \par +* The parameter bitReverseFlag controls whether output is in normal order or bit reversed order. +* Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order. +* \par +* The parameter fftLen Specifies length of CFFT/CIFFT process. Supported FFT Lengths are 16, 64, 256, 1024. +* \par +* This Function also initializes Twiddle factor table pointer and Bit reversal table pointer. +*/ + +arm_status arm_cfft_radix4_init_q15( + arm_cfft_radix4_instance_q15 * S, + uint16_t fftLen, + uint8_t ifftFlag, + uint8_t bitReverseFlag) +{ + /* Initialise the default arm status */ + arm_status status = ARM_MATH_SUCCESS; + /* Initialise the FFT length */ + S->fftLen = fftLen; + /* Initialise the Twiddle coefficient pointer */ + S->pTwiddle = (q15_t *) twiddleCoef_4096_q15; + /* Initialise the Flag for selection of CFFT or CIFFT */ + S->ifftFlag = ifftFlag; + /* Initialise the Flag for calculation Bit reversal or not */ + S->bitReverseFlag = bitReverseFlag; + + /* Initializations of structure parameters depending on the FFT length */ + switch (S->fftLen) + { + case 4096U: + /* Initializations of structure parameters for 4096 point FFT */ + + /* Initialise the twiddle coef modifier value */ + S->twidCoefModifier = 1U; + /* Initialise the bit reversal table modifier */ + S->bitRevFactor = 1U; + /* Initialise the bit reversal table pointer */ + S->pBitRevTable = (uint16_t *) armBitRevTable; + + break; + + case 1024U: + /* Initializations of structure parameters for 1024 point FFT */ + S->twidCoefModifier = 4U; + S->bitRevFactor = 4U; + S->pBitRevTable = (uint16_t *) & armBitRevTable[3]; + + break; + + case 256U: + /* Initializations of structure parameters for 256 point FFT */ + S->twidCoefModifier = 16U; + S->bitRevFactor = 16U; + S->pBitRevTable = (uint16_t *) & armBitRevTable[15]; + + break; + + case 64U: + /* Initializations of structure parameters for 64 point FFT */ + S->twidCoefModifier = 64U; + S->bitRevFactor = 64U; + S->pBitRevTable = (uint16_t *) & armBitRevTable[63]; + + break; + + case 16U: + /* Initializations of structure parameters for 16 point FFT */ + S->twidCoefModifier = 256U; + S->bitRevFactor = 256U; + S->pBitRevTable = (uint16_t *) & armBitRevTable[255]; + + break; + + default: + /* Reporting argument error if fftSize is not valid value */ + status = ARM_MATH_ARGUMENT_ERROR; + break; + } + + return (status); +} + +/** + * @} end of ComplexFFT group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix4_init_q31.c b/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix4_init_q31.c new file mode 100644 index 0000000..9c11754 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix4_init_q31.c @@ -0,0 +1,136 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_cfft_radix4_init_q31.c + * Description: Radix-4 Decimation in Frequency Q31 FFT & IFFT initialization function + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include "arm_common_tables.h" + +/** + * @ingroup groupTransforms + */ + +/** + * @addtogroup ComplexFFT + * @{ + */ + +/** +* +* @brief Initialization function for the Q31 CFFT/CIFFT. +* @deprecated Do not use this function. It has been superseded by \ref arm_cfft_q31 and will be removed +* @param[in,out] *S points to an instance of the Q31 CFFT/CIFFT structure. +* @param[in] fftLen length of the FFT. +* @param[in] ifftFlag flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. +* @param[in] bitReverseFlag flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. +* @return The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if fftLen is not a supported value. +* +* \par Description: +* \par +* The parameter ifftFlag controls whether a forward or inverse transform is computed. +* Set(=1) ifftFlag for calculation of CIFFT otherwise CFFT is calculated +* \par +* The parameter bitReverseFlag controls whether output is in normal order or bit reversed order. +* Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order. +* \par +* The parameter fftLen Specifies length of CFFT/CIFFT process. Supported FFT Lengths are 16, 64, 256, 1024. +* \par +* This Function also initializes Twiddle factor table pointer and Bit reversal table pointer. +*/ + +arm_status arm_cfft_radix4_init_q31( + arm_cfft_radix4_instance_q31 * S, + uint16_t fftLen, + uint8_t ifftFlag, + uint8_t bitReverseFlag) +{ + /* Initialise the default arm status */ + arm_status status = ARM_MATH_SUCCESS; + /* Initialise the FFT length */ + S->fftLen = fftLen; + /* Initialise the Twiddle coefficient pointer */ + S->pTwiddle = (q31_t *) twiddleCoef_4096_q31; + /* Initialise the Flag for selection of CFFT or CIFFT */ + S->ifftFlag = ifftFlag; + /* Initialise the Flag for calculation Bit reversal or not */ + S->bitReverseFlag = bitReverseFlag; + + /* Initializations of Instance structure depending on the FFT length */ + switch (S->fftLen) + { + /* Initializations of structure parameters for 4096 point FFT */ + case 4096U: + /* Initialise the twiddle coef modifier value */ + S->twidCoefModifier = 1U; + /* Initialise the bit reversal table modifier */ + S->bitRevFactor = 1U; + /* Initialise the bit reversal table pointer */ + S->pBitRevTable = (uint16_t *) armBitRevTable; + break; + + /* Initializations of structure parameters for 1024 point FFT */ + case 1024U: + /* Initialise the twiddle coef modifier value */ + S->twidCoefModifier = 4U; + /* Initialise the bit reversal table modifier */ + S->bitRevFactor = 4U; + /* Initialise the bit reversal table pointer */ + S->pBitRevTable = (uint16_t *) & armBitRevTable[3]; + break; + + case 256U: + /* Initializations of structure parameters for 256 point FFT */ + S->twidCoefModifier = 16U; + S->bitRevFactor = 16U; + S->pBitRevTable = (uint16_t *) & armBitRevTable[15]; + break; + + case 64U: + /* Initializations of structure parameters for 64 point FFT */ + S->twidCoefModifier = 64U; + S->bitRevFactor = 64U; + S->pBitRevTable = (uint16_t *) & armBitRevTable[63]; + break; + + case 16U: + /* Initializations of structure parameters for 16 point FFT */ + S->twidCoefModifier = 256U; + S->bitRevFactor = 256U; + S->pBitRevTable = (uint16_t *) & armBitRevTable[255]; + break; + + default: + /* Reporting argument error if fftSize is not valid value */ + status = ARM_MATH_ARGUMENT_ERROR; + break; + } + + return (status); +} + +/** + * @} end of ComplexFFT group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix4_q15.c b/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix4_q15.c new file mode 100644 index 0000000..140fa53 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix4_q15.c @@ -0,0 +1,1910 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_cfft_radix4_q15.c + * Description: This file has function definition of Radix-4 FFT & IFFT function and + * In-place bit reversal using bit reversal table + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + + +void arm_radix4_butterfly_q15( + q15_t * pSrc16, + uint32_t fftLen, + q15_t * pCoef16, + uint32_t twidCoefModifier); + +void arm_radix4_butterfly_inverse_q15( + q15_t * pSrc16, + uint32_t fftLen, + q15_t * pCoef16, + uint32_t twidCoefModifier); + +void arm_bitreversal_q15( + q15_t * pSrc, + uint32_t fftLen, + uint16_t bitRevFactor, + uint16_t * pBitRevTab); + +/** + * @ingroup groupTransforms + */ + +/** + * @addtogroup ComplexFFT + * @{ + */ + + +/** + * @details + * @brief Processing function for the Q15 CFFT/CIFFT. + * @deprecated Do not use this function. It has been superseded by \ref arm_cfft_q15 and will be removed + * @param[in] *S points to an instance of the Q15 CFFT/CIFFT structure. + * @param[in, out] *pSrc points to the complex data buffer. Processing occurs in-place. + * @return none. + * + * \par Input and output formats: + * \par + * Internally input is downscaled by 2 for every stage to avoid saturations inside CFFT/CIFFT process. + * Hence the output format is different for different FFT sizes. + * The input and output formats for different FFT sizes and number of bits to upscale are mentioned in the tables below for CFFT and CIFFT: + * \par + * \image html CFFTQ15.gif "Input and Output Formats for Q15 CFFT" + * \image html CIFFTQ15.gif "Input and Output Formats for Q15 CIFFT" + */ + +void arm_cfft_radix4_q15( + const arm_cfft_radix4_instance_q15 * S, + q15_t * pSrc) +{ + if (S->ifftFlag == 1U) + { + /* Complex IFFT radix-4 */ + arm_radix4_butterfly_inverse_q15(pSrc, S->fftLen, S->pTwiddle, S->twidCoefModifier); + } + else + { + /* Complex FFT radix-4 */ + arm_radix4_butterfly_q15(pSrc, S->fftLen, S->pTwiddle, S->twidCoefModifier); + } + + if (S->bitReverseFlag == 1U) + { + /* Bit Reversal */ + arm_bitreversal_q15(pSrc, S->fftLen, S->bitRevFactor, S->pBitRevTable); + } + +} + +/** + * @} end of ComplexFFT group + */ + +/* +* Radix-4 FFT algorithm used is : +* +* Input real and imaginary data: +* x(n) = xa + j * ya +* x(n+N/4 ) = xb + j * yb +* x(n+N/2 ) = xc + j * yc +* x(n+3N 4) = xd + j * yd +* +* +* Output real and imaginary data: +* x(4r) = xa'+ j * ya' +* x(4r+1) = xb'+ j * yb' +* x(4r+2) = xc'+ j * yc' +* x(4r+3) = xd'+ j * yd' +* +* +* Twiddle factors for radix-4 FFT: +* Wn = co1 + j * (- si1) +* W2n = co2 + j * (- si2) +* W3n = co3 + j * (- si3) + +* The real and imaginary output values for the radix-4 butterfly are +* xa' = xa + xb + xc + xd +* ya' = ya + yb + yc + yd +* xb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) +* yb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) +* xc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) +* yc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) +* xd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3) +* yd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3) +* +*/ + +/** + * @brief Core function for the Q15 CFFT butterfly process. + * @param[in, out] *pSrc16 points to the in-place buffer of Q15 data type. + * @param[in] fftLen length of the FFT. + * @param[in] *pCoef16 points to twiddle coefficient buffer. + * @param[in] twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. + * @return none. + */ + +void arm_radix4_butterfly_q15( + q15_t * pSrc16, + uint32_t fftLen, + q15_t * pCoef16, + uint32_t twidCoefModifier) +{ + +#if defined (ARM_MATH_DSP) + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + q31_t R, S, T, U; + q31_t C1, C2, C3, out1, out2; + uint32_t n1, n2, ic, i0, j, k; + + q15_t *ptr1; + q15_t *pSi0; + q15_t *pSi1; + q15_t *pSi2; + q15_t *pSi3; + + q31_t xaya, xbyb, xcyc, xdyd; + + /* Total process is divided into three stages */ + + /* process first stage, middle stages, & last stage */ + + /* Initializations for the first stage */ + n2 = fftLen; + n1 = n2; + + /* n2 = fftLen/4 */ + n2 >>= 2U; + + /* Index for twiddle coefficient */ + ic = 0U; + + /* Index for input read and output write */ + j = n2; + + pSi0 = pSrc16; + pSi1 = pSi0 + 2 * n2; + pSi2 = pSi1 + 2 * n2; + pSi3 = pSi2 + 2 * n2; + + /* Input is in 1.15(q15) format */ + + /* start of first stage process */ + do + { + /* Butterfly implementation */ + + /* Reading i0, i0+fftLen/2 inputs */ + /* Read ya (real), xa(imag) input */ + T = _SIMD32_OFFSET(pSi0); + T = __SHADD16(T, 0); // this is just a SIMD arithmetic shift right by 1 + T = __SHADD16(T, 0); // it turns out doing this twice is 2 cycles, the alternative takes 3 cycles + //in = ((int16_t) (T & 0xFFFF)) >> 2; // alternative code that takes 3 cycles + //T = ((T >> 2) & 0xFFFF0000) | (in & 0xFFFF); + + /* Read yc (real), xc(imag) input */ + S = _SIMD32_OFFSET(pSi2); + S = __SHADD16(S, 0); + S = __SHADD16(S, 0); + + /* R = packed((ya + yc), (xa + xc) ) */ + R = __QADD16(T, S); + + /* S = packed((ya - yc), (xa - xc) ) */ + S = __QSUB16(T, S); + + /* Reading i0+fftLen/4 , i0+3fftLen/4 inputs */ + /* Read yb (real), xb(imag) input */ + T = _SIMD32_OFFSET(pSi1); + T = __SHADD16(T, 0); + T = __SHADD16(T, 0); + + /* Read yd (real), xd(imag) input */ + U = _SIMD32_OFFSET(pSi3); + U = __SHADD16(U, 0); + U = __SHADD16(U, 0); + + /* T = packed((yb + yd), (xb + xd) ) */ + T = __QADD16(T, U); + + /* writing the butterfly processed i0 sample */ + /* xa' = xa + xb + xc + xd */ + /* ya' = ya + yb + yc + yd */ + _SIMD32_OFFSET(pSi0) = __SHADD16(R, T); + pSi0 += 2; + + /* R = packed((ya + yc) - (yb + yd), (xa + xc)- (xb + xd)) */ + R = __QSUB16(R, T); + + /* co2 & si2 are read from SIMD Coefficient pointer */ + C2 = _SIMD32_OFFSET(pCoef16 + (4U * ic)); + +#ifndef ARM_MATH_BIG_ENDIAN + + /* xc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) */ + out1 = __SMUAD(C2, R) >> 16U; + /* yc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */ + out2 = __SMUSDX(C2, R); + +#else + + /* xc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */ + out1 = __SMUSDX(R, C2) >> 16U; + /* yc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) */ + out2 = __SMUAD(C2, R); + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* Reading i0+fftLen/4 */ + /* T = packed(yb, xb) */ + T = _SIMD32_OFFSET(pSi1); + T = __SHADD16(T, 0); + T = __SHADD16(T, 0); + + /* writing the butterfly processed i0 + fftLen/4 sample */ + /* writing output(xc', yc') in little endian format */ + _SIMD32_OFFSET(pSi1) = + (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF); + pSi1 += 2; + + /* Butterfly calculations */ + /* U = packed(yd, xd) */ + U = _SIMD32_OFFSET(pSi3); + U = __SHADD16(U, 0); + U = __SHADD16(U, 0); + + /* T = packed(yb-yd, xb-xd) */ + T = __QSUB16(T, U); + +#ifndef ARM_MATH_BIG_ENDIAN + + /* R = packed((ya-yc) + (xb- xd) , (xa-xc) - (yb-yd)) */ + R = __QASX(S, T); + /* S = packed((ya-yc) - (xb- xd), (xa-xc) + (yb-yd)) */ + S = __QSAX(S, T); + +#else + + /* R = packed((ya-yc) + (xb- xd) , (xa-xc) - (yb-yd)) */ + R = __QSAX(S, T); + /* S = packed((ya-yc) - (xb- xd), (xa-xc) + (yb-yd)) */ + S = __QASX(S, T); + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* co1 & si1 are read from SIMD Coefficient pointer */ + C1 = _SIMD32_OFFSET(pCoef16 + (2U * ic)); + /* Butterfly process for the i0+fftLen/2 sample */ + +#ifndef ARM_MATH_BIG_ENDIAN + + /* xb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) */ + out1 = __SMUAD(C1, S) >> 16U; + /* yb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) */ + out2 = __SMUSDX(C1, S); + +#else + + /* xb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) */ + out1 = __SMUSDX(S, C1) >> 16U; + /* yb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) */ + out2 = __SMUAD(C1, S); + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* writing output(xb', yb') in little endian format */ + _SIMD32_OFFSET(pSi2) = + ((out2) & 0xFFFF0000) | ((out1) & 0x0000FFFF); + pSi2 += 2; + + + /* co3 & si3 are read from SIMD Coefficient pointer */ + C3 = _SIMD32_OFFSET(pCoef16 + (6U * ic)); + /* Butterfly process for the i0+3fftLen/4 sample */ + +#ifndef ARM_MATH_BIG_ENDIAN + + /* xd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3) */ + out1 = __SMUAD(C3, R) >> 16U; + /* yd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3) */ + out2 = __SMUSDX(C3, R); + +#else + + /* xd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3) */ + out1 = __SMUSDX(R, C3) >> 16U; + /* yd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3) */ + out2 = __SMUAD(C3, R); + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* writing output(xd', yd') in little endian format */ + _SIMD32_OFFSET(pSi3) = + ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF); + pSi3 += 2; + + /* Twiddle coefficients index modifier */ + ic = ic + twidCoefModifier; + + } while (--j); + /* data is in 4.11(q11) format */ + + /* end of first stage process */ + + + /* start of middle stage process */ + + /* Twiddle coefficients index modifier */ + twidCoefModifier <<= 2U; + + /* Calculation of Middle stage */ + for (k = fftLen / 4U; k > 4U; k >>= 2U) + { + /* Initializations for the middle stage */ + n1 = n2; + n2 >>= 2U; + ic = 0U; + + for (j = 0U; j <= (n2 - 1U); j++) + { + /* index calculation for the coefficients */ + C1 = _SIMD32_OFFSET(pCoef16 + (2U * ic)); + C2 = _SIMD32_OFFSET(pCoef16 + (4U * ic)); + C3 = _SIMD32_OFFSET(pCoef16 + (6U * ic)); + + /* Twiddle coefficients index modifier */ + ic = ic + twidCoefModifier; + + pSi0 = pSrc16 + 2 * j; + pSi1 = pSi0 + 2 * n2; + pSi2 = pSi1 + 2 * n2; + pSi3 = pSi2 + 2 * n2; + + /* Butterfly implementation */ + for (i0 = j; i0 < fftLen; i0 += n1) + { + /* Reading i0, i0+fftLen/2 inputs */ + /* Read ya (real), xa(imag) input */ + T = _SIMD32_OFFSET(pSi0); + + /* Read yc (real), xc(imag) input */ + S = _SIMD32_OFFSET(pSi2); + + /* R = packed( (ya + yc), (xa + xc)) */ + R = __QADD16(T, S); + + /* S = packed((ya - yc), (xa - xc)) */ + S = __QSUB16(T, S); + + /* Reading i0+fftLen/4 , i0+3fftLen/4 inputs */ + /* Read yb (real), xb(imag) input */ + T = _SIMD32_OFFSET(pSi1); + + /* Read yd (real), xd(imag) input */ + U = _SIMD32_OFFSET(pSi3); + + /* T = packed( (yb + yd), (xb + xd)) */ + T = __QADD16(T, U); + + /* writing the butterfly processed i0 sample */ + + /* xa' = xa + xb + xc + xd */ + /* ya' = ya + yb + yc + yd */ + out1 = __SHADD16(R, T); + out1 = __SHADD16(out1, 0); + _SIMD32_OFFSET(pSi0) = out1; + pSi0 += 2 * n1; + + /* R = packed( (ya + yc) - (yb + yd), (xa + xc) - (xb + xd)) */ + R = __SHSUB16(R, T); + +#ifndef ARM_MATH_BIG_ENDIAN + + /* (ya-yb+yc-yd)* (si2) + (xa-xb+xc-xd)* co2 */ + out1 = __SMUAD(C2, R) >> 16U; + + /* (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */ + out2 = __SMUSDX(C2, R); + +#else + + /* (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */ + out1 = __SMUSDX(R, C2) >> 16U; + + /* (ya-yb+yc-yd)* (si2) + (xa-xb+xc-xd)* co2 */ + out2 = __SMUAD(C2, R); + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* Reading i0+3fftLen/4 */ + /* Read yb (real), xb(imag) input */ + T = _SIMD32_OFFSET(pSi1); + + /* writing the butterfly processed i0 + fftLen/4 sample */ + /* xc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) */ + /* yc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */ + _SIMD32_OFFSET(pSi1) = + ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF); + pSi1 += 2 * n1; + + /* Butterfly calculations */ + + /* Read yd (real), xd(imag) input */ + U = _SIMD32_OFFSET(pSi3); + + /* T = packed(yb-yd, xb-xd) */ + T = __QSUB16(T, U); + +#ifndef ARM_MATH_BIG_ENDIAN + + /* R = packed((ya-yc) + (xb- xd) , (xa-xc) - (yb-yd)) */ + R = __SHASX(S, T); + + /* S = packed((ya-yc) - (xb- xd), (xa-xc) + (yb-yd)) */ + S = __SHSAX(S, T); + + + /* Butterfly process for the i0+fftLen/2 sample */ + out1 = __SMUAD(C1, S) >> 16U; + out2 = __SMUSDX(C1, S); + +#else + + /* R = packed((ya-yc) + (xb- xd) , (xa-xc) - (yb-yd)) */ + R = __SHSAX(S, T); + + /* S = packed((ya-yc) - (xb- xd), (xa-xc) + (yb-yd)) */ + S = __SHASX(S, T); + + + /* Butterfly process for the i0+fftLen/2 sample */ + out1 = __SMUSDX(S, C1) >> 16U; + out2 = __SMUAD(C1, S); + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* xb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) */ + /* yb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) */ + _SIMD32_OFFSET(pSi2) = + ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF); + pSi2 += 2 * n1; + + /* Butterfly process for the i0+3fftLen/4 sample */ + +#ifndef ARM_MATH_BIG_ENDIAN + + out1 = __SMUAD(C3, R) >> 16U; + out2 = __SMUSDX(C3, R); + +#else + + out1 = __SMUSDX(R, C3) >> 16U; + out2 = __SMUAD(C3, R); + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* xd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3) */ + /* yd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3) */ + _SIMD32_OFFSET(pSi3) = + ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF); + pSi3 += 2 * n1; + } + } + /* Twiddle coefficients index modifier */ + twidCoefModifier <<= 2U; + } + /* end of middle stage process */ + + + /* data is in 10.6(q6) format for the 1024 point */ + /* data is in 8.8(q8) format for the 256 point */ + /* data is in 6.10(q10) format for the 64 point */ + /* data is in 4.12(q12) format for the 16 point */ + + /* Initializations for the last stage */ + j = fftLen >> 2; + + ptr1 = &pSrc16[0]; + + /* start of last stage process */ + + /* Butterfly implementation */ + do + { + /* Read xa (real), ya(imag) input */ + xaya = *__SIMD32(ptr1)++; + + /* Read xb (real), yb(imag) input */ + xbyb = *__SIMD32(ptr1)++; + + /* Read xc (real), yc(imag) input */ + xcyc = *__SIMD32(ptr1)++; + + /* Read xd (real), yd(imag) input */ + xdyd = *__SIMD32(ptr1)++; + + /* R = packed((ya + yc), (xa + xc)) */ + R = __QADD16(xaya, xcyc); + + /* T = packed((yb + yd), (xb + xd)) */ + T = __QADD16(xbyb, xdyd); + + /* pointer updation for writing */ + ptr1 = ptr1 - 8U; + + + /* xa' = xa + xb + xc + xd */ + /* ya' = ya + yb + yc + yd */ + *__SIMD32(ptr1)++ = __SHADD16(R, T); + + /* T = packed((yb + yd), (xb + xd)) */ + T = __QADD16(xbyb, xdyd); + + /* xc' = (xa-xb+xc-xd) */ + /* yc' = (ya-yb+yc-yd) */ + *__SIMD32(ptr1)++ = __SHSUB16(R, T); + + /* S = packed((ya - yc), (xa - xc)) */ + S = __QSUB16(xaya, xcyc); + + /* Read yd (real), xd(imag) input */ + /* T = packed( (yb - yd), (xb - xd)) */ + U = __QSUB16(xbyb, xdyd); + +#ifndef ARM_MATH_BIG_ENDIAN + + /* xb' = (xa+yb-xc-yd) */ + /* yb' = (ya-xb-yc+xd) */ + *__SIMD32(ptr1)++ = __SHSAX(S, U); + + + /* xd' = (xa-yb-xc+yd) */ + /* yd' = (ya+xb-yc-xd) */ + *__SIMD32(ptr1)++ = __SHASX(S, U); + +#else + + /* xb' = (xa+yb-xc-yd) */ + /* yb' = (ya-xb-yc+xd) */ + *__SIMD32(ptr1)++ = __SHASX(S, U); + + + /* xd' = (xa-yb-xc+yd) */ + /* yd' = (ya+xb-yc-xd) */ + *__SIMD32(ptr1)++ = __SHSAX(S, U); + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + } while (--j); + + /* end of last stage process */ + + /* output is in 11.5(q5) format for the 1024 point */ + /* output is in 9.7(q7) format for the 256 point */ + /* output is in 7.9(q9) format for the 64 point */ + /* output is in 5.11(q11) format for the 16 point */ + + +#else + + /* Run the below code for Cortex-M0 */ + + q15_t R0, R1, S0, S1, T0, T1, U0, U1; + q15_t Co1, Si1, Co2, Si2, Co3, Si3, out1, out2; + uint32_t n1, n2, ic, i0, i1, i2, i3, j, k; + + /* Total process is divided into three stages */ + + /* process first stage, middle stages, & last stage */ + + /* Initializations for the first stage */ + n2 = fftLen; + n1 = n2; + + /* n2 = fftLen/4 */ + n2 >>= 2U; + + /* Index for twiddle coefficient */ + ic = 0U; + + /* Index for input read and output write */ + i0 = 0U; + j = n2; + + /* Input is in 1.15(q15) format */ + + /* start of first stage process */ + do + { + /* Butterfly implementation */ + + /* index calculation for the input as, */ + /* pSrc16[i0 + 0], pSrc16[i0 + fftLen/4], pSrc16[i0 + fftLen/2], pSrc16[i0 + 3fftLen/4] */ + i1 = i0 + n2; + i2 = i1 + n2; + i3 = i2 + n2; + + /* Reading i0, i0+fftLen/2 inputs */ + + /* input is down scale by 4 to avoid overflow */ + /* Read ya (real), xa(imag) input */ + T0 = pSrc16[i0 * 2U] >> 2U; + T1 = pSrc16[(i0 * 2U) + 1U] >> 2U; + + /* input is down scale by 4 to avoid overflow */ + /* Read yc (real), xc(imag) input */ + S0 = pSrc16[i2 * 2U] >> 2U; + S1 = pSrc16[(i2 * 2U) + 1U] >> 2U; + + /* R0 = (ya + yc) */ + R0 = __SSAT(T0 + S0, 16U); + /* R1 = (xa + xc) */ + R1 = __SSAT(T1 + S1, 16U); + + /* S0 = (ya - yc) */ + S0 = __SSAT(T0 - S0, 16); + /* S1 = (xa - xc) */ + S1 = __SSAT(T1 - S1, 16); + + /* Reading i0+fftLen/4 , i0+3fftLen/4 inputs */ + /* input is down scale by 4 to avoid overflow */ + /* Read yb (real), xb(imag) input */ + T0 = pSrc16[i1 * 2U] >> 2U; + T1 = pSrc16[(i1 * 2U) + 1U] >> 2U; + + /* input is down scale by 4 to avoid overflow */ + /* Read yd (real), xd(imag) input */ + U0 = pSrc16[i3 * 2U] >> 2U; + U1 = pSrc16[(i3 * 2U) + 1] >> 2U; + + /* T0 = (yb + yd) */ + T0 = __SSAT(T0 + U0, 16U); + /* T1 = (xb + xd) */ + T1 = __SSAT(T1 + U1, 16U); + + /* writing the butterfly processed i0 sample */ + /* ya' = ya + yb + yc + yd */ + /* xa' = xa + xb + xc + xd */ + pSrc16[i0 * 2U] = (R0 >> 1U) + (T0 >> 1U); + pSrc16[(i0 * 2U) + 1U] = (R1 >> 1U) + (T1 >> 1U); + + /* R0 = (ya + yc) - (yb + yd) */ + /* R1 = (xa + xc) - (xb + xd) */ + R0 = __SSAT(R0 - T0, 16U); + R1 = __SSAT(R1 - T1, 16U); + + /* co2 & si2 are read from Coefficient pointer */ + Co2 = pCoef16[2U * ic * 2U]; + Si2 = pCoef16[(2U * ic * 2U) + 1]; + + /* xc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) */ + out1 = (q15_t) ((Co2 * R0 + Si2 * R1) >> 16U); + /* yc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */ + out2 = (q15_t) ((-Si2 * R0 + Co2 * R1) >> 16U); + + /* Reading i0+fftLen/4 */ + /* input is down scale by 4 to avoid overflow */ + /* T0 = yb, T1 = xb */ + T0 = pSrc16[i1 * 2U] >> 2; + T1 = pSrc16[(i1 * 2U) + 1] >> 2; + + /* writing the butterfly processed i0 + fftLen/4 sample */ + /* writing output(xc', yc') in little endian format */ + pSrc16[i1 * 2U] = out1; + pSrc16[(i1 * 2U) + 1] = out2; + + /* Butterfly calculations */ + /* input is down scale by 4 to avoid overflow */ + /* U0 = yd, U1 = xd */ + U0 = pSrc16[i3 * 2U] >> 2; + U1 = pSrc16[(i3 * 2U) + 1] >> 2; + /* T0 = yb-yd */ + T0 = __SSAT(T0 - U0, 16); + /* T1 = xb-xd */ + T1 = __SSAT(T1 - U1, 16); + + /* R1 = (ya-yc) + (xb- xd), R0 = (xa-xc) - (yb-yd)) */ + R0 = (q15_t) __SSAT((q31_t) (S0 - T1), 16); + R1 = (q15_t) __SSAT((q31_t) (S1 + T0), 16); + + /* S1 = (ya-yc) - (xb- xd), S0 = (xa-xc) + (yb-yd)) */ + S0 = (q15_t) __SSAT(((q31_t) S0 + T1), 16U); + S1 = (q15_t) __SSAT(((q31_t) S1 - T0), 16U); + + /* co1 & si1 are read from Coefficient pointer */ + Co1 = pCoef16[ic * 2U]; + Si1 = pCoef16[(ic * 2U) + 1]; + /* Butterfly process for the i0+fftLen/2 sample */ + /* xb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) */ + out1 = (q15_t) ((Si1 * S1 + Co1 * S0) >> 16); + /* yb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) */ + out2 = (q15_t) ((-Si1 * S0 + Co1 * S1) >> 16); + + /* writing output(xb', yb') in little endian format */ + pSrc16[i2 * 2U] = out1; + pSrc16[(i2 * 2U) + 1] = out2; + + /* Co3 & si3 are read from Coefficient pointer */ + Co3 = pCoef16[3U * (ic * 2U)]; + Si3 = pCoef16[(3U * (ic * 2U)) + 1]; + /* Butterfly process for the i0+3fftLen/4 sample */ + /* xd' = (xa-yb-xc+yd)* Co3 + (ya+xb-yc-xd)* (si3) */ + out1 = (q15_t) ((Si3 * R1 + Co3 * R0) >> 16U); + /* yd' = (ya+xb-yc-xd)* Co3 - (xa-yb-xc+yd)* (si3) */ + out2 = (q15_t) ((-Si3 * R0 + Co3 * R1) >> 16U); + /* writing output(xd', yd') in little endian format */ + pSrc16[i3 * 2U] = out1; + pSrc16[(i3 * 2U) + 1] = out2; + + /* Twiddle coefficients index modifier */ + ic = ic + twidCoefModifier; + + /* Updating input index */ + i0 = i0 + 1U; + + } while (--j); + /* data is in 4.11(q11) format */ + + /* end of first stage process */ + + + /* start of middle stage process */ + + /* Twiddle coefficients index modifier */ + twidCoefModifier <<= 2U; + + /* Calculation of Middle stage */ + for (k = fftLen / 4U; k > 4U; k >>= 2U) + { + /* Initializations for the middle stage */ + n1 = n2; + n2 >>= 2U; + ic = 0U; + + for (j = 0U; j <= (n2 - 1U); j++) + { + /* index calculation for the coefficients */ + Co1 = pCoef16[ic * 2U]; + Si1 = pCoef16[(ic * 2U) + 1U]; + Co2 = pCoef16[2U * (ic * 2U)]; + Si2 = pCoef16[(2U * (ic * 2U)) + 1U]; + Co3 = pCoef16[3U * (ic * 2U)]; + Si3 = pCoef16[(3U * (ic * 2U)) + 1U]; + + /* Twiddle coefficients index modifier */ + ic = ic + twidCoefModifier; + + /* Butterfly implementation */ + for (i0 = j; i0 < fftLen; i0 += n1) + { + /* index calculation for the input as, */ + /* pSrc16[i0 + 0], pSrc16[i0 + fftLen/4], pSrc16[i0 + fftLen/2], pSrc16[i0 + 3fftLen/4] */ + i1 = i0 + n2; + i2 = i1 + n2; + i3 = i2 + n2; + + /* Reading i0, i0+fftLen/2 inputs */ + /* Read ya (real), xa(imag) input */ + T0 = pSrc16[i0 * 2U]; + T1 = pSrc16[(i0 * 2U) + 1U]; + + /* Read yc (real), xc(imag) input */ + S0 = pSrc16[i2 * 2U]; + S1 = pSrc16[(i2 * 2U) + 1U]; + + /* R0 = (ya + yc), R1 = (xa + xc) */ + R0 = __SSAT(T0 + S0, 16); + R1 = __SSAT(T1 + S1, 16); + + /* S0 = (ya - yc), S1 =(xa - xc) */ + S0 = __SSAT(T0 - S0, 16); + S1 = __SSAT(T1 - S1, 16); + + /* Reading i0+fftLen/4 , i0+3fftLen/4 inputs */ + /* Read yb (real), xb(imag) input */ + T0 = pSrc16[i1 * 2U]; + T1 = pSrc16[(i1 * 2U) + 1U]; + + /* Read yd (real), xd(imag) input */ + U0 = pSrc16[i3 * 2U]; + U1 = pSrc16[(i3 * 2U) + 1U]; + + + /* T0 = (yb + yd), T1 = (xb + xd) */ + T0 = __SSAT(T0 + U0, 16); + T1 = __SSAT(T1 + U1, 16); + + /* writing the butterfly processed i0 sample */ + + /* xa' = xa + xb + xc + xd */ + /* ya' = ya + yb + yc + yd */ + out1 = ((R0 >> 1U) + (T0 >> 1U)) >> 1U; + out2 = ((R1 >> 1U) + (T1 >> 1U)) >> 1U; + + pSrc16[i0 * 2U] = out1; + pSrc16[(2U * i0) + 1U] = out2; + + /* R0 = (ya + yc) - (yb + yd), R1 = (xa + xc) - (xb + xd) */ + R0 = (R0 >> 1U) - (T0 >> 1U); + R1 = (R1 >> 1U) - (T1 >> 1U); + + /* (ya-yb+yc-yd)* (si2) + (xa-xb+xc-xd)* co2 */ + out1 = (q15_t) ((Co2 * R0 + Si2 * R1) >> 16U); + + /* (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */ + out2 = (q15_t) ((-Si2 * R0 + Co2 * R1) >> 16U); + + /* Reading i0+3fftLen/4 */ + /* Read yb (real), xb(imag) input */ + T0 = pSrc16[i1 * 2U]; + T1 = pSrc16[(i1 * 2U) + 1U]; + + /* writing the butterfly processed i0 + fftLen/4 sample */ + /* xc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) */ + /* yc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */ + pSrc16[i1 * 2U] = out1; + pSrc16[(i1 * 2U) + 1U] = out2; + + /* Butterfly calculations */ + + /* Read yd (real), xd(imag) input */ + U0 = pSrc16[i3 * 2U]; + U1 = pSrc16[(i3 * 2U) + 1U]; + + /* T0 = yb-yd, T1 = xb-xd */ + T0 = __SSAT(T0 - U0, 16); + T1 = __SSAT(T1 - U1, 16); + + /* R0 = (ya-yc) + (xb- xd), R1 = (xa-xc) - (yb-yd)) */ + R0 = (S0 >> 1U) - (T1 >> 1U); + R1 = (S1 >> 1U) + (T0 >> 1U); + + /* S0 = (ya-yc) - (xb- xd), S1 = (xa-xc) + (yb-yd)) */ + S0 = (S0 >> 1U) + (T1 >> 1U); + S1 = (S1 >> 1U) - (T0 >> 1U); + + /* Butterfly process for the i0+fftLen/2 sample */ + out1 = (q15_t) ((Co1 * S0 + Si1 * S1) >> 16U); + + out2 = (q15_t) ((-Si1 * S0 + Co1 * S1) >> 16U); + + /* xb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) */ + /* yb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) */ + pSrc16[i2 * 2U] = out1; + pSrc16[(i2 * 2U) + 1U] = out2; + + /* Butterfly process for the i0+3fftLen/4 sample */ + out1 = (q15_t) ((Si3 * R1 + Co3 * R0) >> 16U); + + out2 = (q15_t) ((-Si3 * R0 + Co3 * R1) >> 16U); + /* xd' = (xa-yb-xc+yd)* Co3 + (ya+xb-yc-xd)* (si3) */ + /* yd' = (ya+xb-yc-xd)* Co3 - (xa-yb-xc+yd)* (si3) */ + pSrc16[i3 * 2U] = out1; + pSrc16[(i3 * 2U) + 1U] = out2; + } + } + /* Twiddle coefficients index modifier */ + twidCoefModifier <<= 2U; + } + /* end of middle stage process */ + + + /* data is in 10.6(q6) format for the 1024 point */ + /* data is in 8.8(q8) format for the 256 point */ + /* data is in 6.10(q10) format for the 64 point */ + /* data is in 4.12(q12) format for the 16 point */ + + /* Initializations for the last stage */ + n1 = n2; + n2 >>= 2U; + + /* start of last stage process */ + + /* Butterfly implementation */ + for (i0 = 0U; i0 <= (fftLen - n1); i0 += n1) + { + /* index calculation for the input as, */ + /* pSrc16[i0 + 0], pSrc16[i0 + fftLen/4], pSrc16[i0 + fftLen/2], pSrc16[i0 + 3fftLen/4] */ + i1 = i0 + n2; + i2 = i1 + n2; + i3 = i2 + n2; + + /* Reading i0, i0+fftLen/2 inputs */ + /* Read ya (real), xa(imag) input */ + T0 = pSrc16[i0 * 2U]; + T1 = pSrc16[(i0 * 2U) + 1U]; + + /* Read yc (real), xc(imag) input */ + S0 = pSrc16[i2 * 2U]; + S1 = pSrc16[(i2 * 2U) + 1U]; + + /* R0 = (ya + yc), R1 = (xa + xc) */ + R0 = __SSAT(T0 + S0, 16U); + R1 = __SSAT(T1 + S1, 16U); + + /* S0 = (ya - yc), S1 = (xa - xc) */ + S0 = __SSAT(T0 - S0, 16U); + S1 = __SSAT(T1 - S1, 16U); + + /* Reading i0+fftLen/4 , i0+3fftLen/4 inputs */ + /* Read yb (real), xb(imag) input */ + T0 = pSrc16[i1 * 2U]; + T1 = pSrc16[(i1 * 2U) + 1U]; + /* Read yd (real), xd(imag) input */ + U0 = pSrc16[i3 * 2U]; + U1 = pSrc16[(i3 * 2U) + 1U]; + + /* T0 = (yb + yd), T1 = (xb + xd)) */ + T0 = __SSAT(T0 + U0, 16U); + T1 = __SSAT(T1 + U1, 16U); + + /* writing the butterfly processed i0 sample */ + /* xa' = xa + xb + xc + xd */ + /* ya' = ya + yb + yc + yd */ + pSrc16[i0 * 2U] = (R0 >> 1U) + (T0 >> 1U); + pSrc16[(i0 * 2U) + 1U] = (R1 >> 1U) + (T1 >> 1U); + + /* R0 = (ya + yc) - (yb + yd), R1 = (xa + xc) - (xb + xd) */ + R0 = (R0 >> 1U) - (T0 >> 1U); + R1 = (R1 >> 1U) - (T1 >> 1U); + /* Read yb (real), xb(imag) input */ + T0 = pSrc16[i1 * 2U]; + T1 = pSrc16[(i1 * 2U) + 1U]; + + /* writing the butterfly processed i0 + fftLen/4 sample */ + /* xc' = (xa-xb+xc-xd) */ + /* yc' = (ya-yb+yc-yd) */ + pSrc16[i1 * 2U] = R0; + pSrc16[(i1 * 2U) + 1U] = R1; + + /* Read yd (real), xd(imag) input */ + U0 = pSrc16[i3 * 2U]; + U1 = pSrc16[(i3 * 2U) + 1U]; + /* T0 = (yb - yd), T1 = (xb - xd) */ + T0 = __SSAT(T0 - U0, 16U); + T1 = __SSAT(T1 - U1, 16U); + + /* writing the butterfly processed i0 + fftLen/2 sample */ + /* xb' = (xa+yb-xc-yd) */ + /* yb' = (ya-xb-yc+xd) */ + pSrc16[i2 * 2U] = (S0 >> 1U) + (T1 >> 1U); + pSrc16[(i2 * 2U) + 1U] = (S1 >> 1U) - (T0 >> 1U); + + /* writing the butterfly processed i0 + 3fftLen/4 sample */ + /* xd' = (xa-yb-xc+yd) */ + /* yd' = (ya+xb-yc-xd) */ + pSrc16[i3 * 2U] = (S0 >> 1U) - (T1 >> 1U); + pSrc16[(i3 * 2U) + 1U] = (S1 >> 1U) + (T0 >> 1U); + + } + + /* end of last stage process */ + + /* output is in 11.5(q5) format for the 1024 point */ + /* output is in 9.7(q7) format for the 256 point */ + /* output is in 7.9(q9) format for the 64 point */ + /* output is in 5.11(q11) format for the 16 point */ + +#endif /* #if defined (ARM_MATH_DSP) */ + +} + + +/** + * @brief Core function for the Q15 CIFFT butterfly process. + * @param[in, out] *pSrc16 points to the in-place buffer of Q15 data type. + * @param[in] fftLen length of the FFT. + * @param[in] *pCoef16 points to twiddle coefficient buffer. + * @param[in] twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. + * @return none. + */ + +/* +* Radix-4 IFFT algorithm used is : +* +* CIFFT uses same twiddle coefficients as CFFT function +* x[k] = x[n] + (j)k * x[n + fftLen/4] + (-1)k * x[n+fftLen/2] + (-j)k * x[n+3*fftLen/4] +* +* +* IFFT is implemented with following changes in equations from FFT +* +* Input real and imaginary data: +* x(n) = xa + j * ya +* x(n+N/4 ) = xb + j * yb +* x(n+N/2 ) = xc + j * yc +* x(n+3N 4) = xd + j * yd +* +* +* Output real and imaginary data: +* x(4r) = xa'+ j * ya' +* x(4r+1) = xb'+ j * yb' +* x(4r+2) = xc'+ j * yc' +* x(4r+3) = xd'+ j * yd' +* +* +* Twiddle factors for radix-4 IFFT: +* Wn = co1 + j * (si1) +* W2n = co2 + j * (si2) +* W3n = co3 + j * (si3) + +* The real and imaginary output values for the radix-4 butterfly are +* xa' = xa + xb + xc + xd +* ya' = ya + yb + yc + yd +* xb' = (xa-yb-xc+yd)* co1 - (ya+xb-yc-xd)* (si1) +* yb' = (ya+xb-yc-xd)* co1 + (xa-yb-xc+yd)* (si1) +* xc' = (xa-xb+xc-xd)* co2 - (ya-yb+yc-yd)* (si2) +* yc' = (ya-yb+yc-yd)* co2 + (xa-xb+xc-xd)* (si2) +* xd' = (xa+yb-xc-yd)* co3 - (ya-xb-yc+xd)* (si3) +* yd' = (ya-xb-yc+xd)* co3 + (xa+yb-xc-yd)* (si3) +* +*/ + +void arm_radix4_butterfly_inverse_q15( + q15_t * pSrc16, + uint32_t fftLen, + q15_t * pCoef16, + uint32_t twidCoefModifier) +{ + +#if defined (ARM_MATH_DSP) + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + q31_t R, S, T, U; + q31_t C1, C2, C3, out1, out2; + uint32_t n1, n2, ic, i0, j, k; + + q15_t *ptr1; + q15_t *pSi0; + q15_t *pSi1; + q15_t *pSi2; + q15_t *pSi3; + + q31_t xaya, xbyb, xcyc, xdyd; + + /* Total process is divided into three stages */ + + /* process first stage, middle stages, & last stage */ + + /* Initializations for the first stage */ + n2 = fftLen; + n1 = n2; + + /* n2 = fftLen/4 */ + n2 >>= 2U; + + /* Index for twiddle coefficient */ + ic = 0U; + + /* Index for input read and output write */ + j = n2; + + pSi0 = pSrc16; + pSi1 = pSi0 + 2 * n2; + pSi2 = pSi1 + 2 * n2; + pSi3 = pSi2 + 2 * n2; + + /* Input is in 1.15(q15) format */ + + /* start of first stage process */ + do + { + /* Butterfly implementation */ + + /* Reading i0, i0+fftLen/2 inputs */ + /* Read ya (real), xa(imag) input */ + T = _SIMD32_OFFSET(pSi0); + T = __SHADD16(T, 0); + T = __SHADD16(T, 0); + + /* Read yc (real), xc(imag) input */ + S = _SIMD32_OFFSET(pSi2); + S = __SHADD16(S, 0); + S = __SHADD16(S, 0); + + /* R = packed((ya + yc), (xa + xc) ) */ + R = __QADD16(T, S); + + /* S = packed((ya - yc), (xa - xc) ) */ + S = __QSUB16(T, S); + + /* Reading i0+fftLen/4 , i0+3fftLen/4 inputs */ + /* Read yb (real), xb(imag) input */ + T = _SIMD32_OFFSET(pSi1); + T = __SHADD16(T, 0); + T = __SHADD16(T, 0); + + /* Read yd (real), xd(imag) input */ + U = _SIMD32_OFFSET(pSi3); + U = __SHADD16(U, 0); + U = __SHADD16(U, 0); + + /* T = packed((yb + yd), (xb + xd) ) */ + T = __QADD16(T, U); + + /* writing the butterfly processed i0 sample */ + /* xa' = xa + xb + xc + xd */ + /* ya' = ya + yb + yc + yd */ + _SIMD32_OFFSET(pSi0) = __SHADD16(R, T); + pSi0 += 2; + + /* R = packed((ya + yc) - (yb + yd), (xa + xc)- (xb + xd)) */ + R = __QSUB16(R, T); + + /* co2 & si2 are read from SIMD Coefficient pointer */ + C2 = _SIMD32_OFFSET(pCoef16 + (4U * ic)); + +#ifndef ARM_MATH_BIG_ENDIAN + + /* xc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) */ + out1 = __SMUSD(C2, R) >> 16U; + /* yc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */ + out2 = __SMUADX(C2, R); + +#else + + /* xc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */ + out1 = __SMUADX(C2, R) >> 16U; + /* yc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) */ + out2 = __SMUSD(__QSUB16(0, C2), R); + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* Reading i0+fftLen/4 */ + /* T = packed(yb, xb) */ + T = _SIMD32_OFFSET(pSi1); + T = __SHADD16(T, 0); + T = __SHADD16(T, 0); + + /* writing the butterfly processed i0 + fftLen/4 sample */ + /* writing output(xc', yc') in little endian format */ + _SIMD32_OFFSET(pSi1) = + (q31_t) ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF); + pSi1 += 2; + + /* Butterfly calculations */ + /* U = packed(yd, xd) */ + U = _SIMD32_OFFSET(pSi3); + U = __SHADD16(U, 0); + U = __SHADD16(U, 0); + + /* T = packed(yb-yd, xb-xd) */ + T = __QSUB16(T, U); + +#ifndef ARM_MATH_BIG_ENDIAN + + /* R = packed((ya-yc) + (xb- xd) , (xa-xc) - (yb-yd)) */ + R = __QSAX(S, T); + /* S = packed((ya-yc) + (xb- xd), (xa-xc) - (yb-yd)) */ + S = __QASX(S, T); + +#else + + /* R = packed((ya-yc) + (xb- xd) , (xa-xc) - (yb-yd)) */ + R = __QASX(S, T); + /* S = packed((ya-yc) - (xb- xd), (xa-xc) + (yb-yd)) */ + S = __QSAX(S, T); + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* co1 & si1 are read from SIMD Coefficient pointer */ + C1 = _SIMD32_OFFSET(pCoef16 + (2U * ic)); + /* Butterfly process for the i0+fftLen/2 sample */ + +#ifndef ARM_MATH_BIG_ENDIAN + + /* xb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) */ + out1 = __SMUSD(C1, S) >> 16U; + /* yb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) */ + out2 = __SMUADX(C1, S); + +#else + + /* xb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) */ + out1 = __SMUADX(C1, S) >> 16U; + /* yb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) */ + out2 = __SMUSD(__QSUB16(0, C1), S); + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* writing output(xb', yb') in little endian format */ + _SIMD32_OFFSET(pSi2) = + ((out2) & 0xFFFF0000) | ((out1) & 0x0000FFFF); + pSi2 += 2; + + + /* co3 & si3 are read from SIMD Coefficient pointer */ + C3 = _SIMD32_OFFSET(pCoef16 + (6U * ic)); + /* Butterfly process for the i0+3fftLen/4 sample */ + +#ifndef ARM_MATH_BIG_ENDIAN + + /* xd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3) */ + out1 = __SMUSD(C3, R) >> 16U; + /* yd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3) */ + out2 = __SMUADX(C3, R); + +#else + + /* xd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3) */ + out1 = __SMUADX(C3, R) >> 16U; + /* yd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3) */ + out2 = __SMUSD(__QSUB16(0, C3), R); + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* writing output(xd', yd') in little endian format */ + _SIMD32_OFFSET(pSi3) = + ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF); + pSi3 += 2; + + /* Twiddle coefficients index modifier */ + ic = ic + twidCoefModifier; + + } while (--j); + /* data is in 4.11(q11) format */ + + /* end of first stage process */ + + + /* start of middle stage process */ + + /* Twiddle coefficients index modifier */ + twidCoefModifier <<= 2U; + + /* Calculation of Middle stage */ + for (k = fftLen / 4U; k > 4U; k >>= 2U) + { + /* Initializations for the middle stage */ + n1 = n2; + n2 >>= 2U; + ic = 0U; + + for (j = 0U; j <= (n2 - 1U); j++) + { + /* index calculation for the coefficients */ + C1 = _SIMD32_OFFSET(pCoef16 + (2U * ic)); + C2 = _SIMD32_OFFSET(pCoef16 + (4U * ic)); + C3 = _SIMD32_OFFSET(pCoef16 + (6U * ic)); + + /* Twiddle coefficients index modifier */ + ic = ic + twidCoefModifier; + + pSi0 = pSrc16 + 2 * j; + pSi1 = pSi0 + 2 * n2; + pSi2 = pSi1 + 2 * n2; + pSi3 = pSi2 + 2 * n2; + + /* Butterfly implementation */ + for (i0 = j; i0 < fftLen; i0 += n1) + { + /* Reading i0, i0+fftLen/2 inputs */ + /* Read ya (real), xa(imag) input */ + T = _SIMD32_OFFSET(pSi0); + + /* Read yc (real), xc(imag) input */ + S = _SIMD32_OFFSET(pSi2); + + /* R = packed( (ya + yc), (xa + xc)) */ + R = __QADD16(T, S); + + /* S = packed((ya - yc), (xa - xc)) */ + S = __QSUB16(T, S); + + /* Reading i0+fftLen/4 , i0+3fftLen/4 inputs */ + /* Read yb (real), xb(imag) input */ + T = _SIMD32_OFFSET(pSi1); + + /* Read yd (real), xd(imag) input */ + U = _SIMD32_OFFSET(pSi3); + + /* T = packed( (yb + yd), (xb + xd)) */ + T = __QADD16(T, U); + + /* writing the butterfly processed i0 sample */ + + /* xa' = xa + xb + xc + xd */ + /* ya' = ya + yb + yc + yd */ + out1 = __SHADD16(R, T); + out1 = __SHADD16(out1, 0); + _SIMD32_OFFSET(pSi0) = out1; + pSi0 += 2 * n1; + + /* R = packed( (ya + yc) - (yb + yd), (xa + xc) - (xb + xd)) */ + R = __SHSUB16(R, T); + +#ifndef ARM_MATH_BIG_ENDIAN + + /* (ya-yb+yc-yd)* (si2) + (xa-xb+xc-xd)* co2 */ + out1 = __SMUSD(C2, R) >> 16U; + + /* (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */ + out2 = __SMUADX(C2, R); + +#else + + /* (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */ + out1 = __SMUADX(R, C2) >> 16U; + + /* (ya-yb+yc-yd)* (si2) + (xa-xb+xc-xd)* co2 */ + out2 = __SMUSD(__QSUB16(0, C2), R); + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* Reading i0+3fftLen/4 */ + /* Read yb (real), xb(imag) input */ + T = _SIMD32_OFFSET(pSi1); + + /* writing the butterfly processed i0 + fftLen/4 sample */ + /* xc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) */ + /* yc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) */ + _SIMD32_OFFSET(pSi1) = + ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF); + pSi1 += 2 * n1; + + /* Butterfly calculations */ + + /* Read yd (real), xd(imag) input */ + U = _SIMD32_OFFSET(pSi3); + + /* T = packed(yb-yd, xb-xd) */ + T = __QSUB16(T, U); + +#ifndef ARM_MATH_BIG_ENDIAN + + /* R = packed((ya-yc) + (xb- xd) , (xa-xc) - (yb-yd)) */ + R = __SHSAX(S, T); + + /* S = packed((ya-yc) - (xb- xd), (xa-xc) + (yb-yd)) */ + S = __SHASX(S, T); + + + /* Butterfly process for the i0+fftLen/2 sample */ + out1 = __SMUSD(C1, S) >> 16U; + out2 = __SMUADX(C1, S); + +#else + + /* R = packed((ya-yc) + (xb- xd) , (xa-xc) - (yb-yd)) */ + R = __SHASX(S, T); + + /* S = packed((ya-yc) - (xb- xd), (xa-xc) + (yb-yd)) */ + S = __SHSAX(S, T); + + + /* Butterfly process for the i0+fftLen/2 sample */ + out1 = __SMUADX(S, C1) >> 16U; + out2 = __SMUSD(__QSUB16(0, C1), S); + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* xb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) */ + /* yb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) */ + _SIMD32_OFFSET(pSi2) = + ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF); + pSi2 += 2 * n1; + + /* Butterfly process for the i0+3fftLen/4 sample */ + +#ifndef ARM_MATH_BIG_ENDIAN + + out1 = __SMUSD(C3, R) >> 16U; + out2 = __SMUADX(C3, R); + +#else + + out1 = __SMUADX(C3, R) >> 16U; + out2 = __SMUSD(__QSUB16(0, C3), R); + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* xd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3) */ + /* yd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3) */ + _SIMD32_OFFSET(pSi3) = + ((out2) & 0xFFFF0000) | (out1 & 0x0000FFFF); + pSi3 += 2 * n1; + } + } + /* Twiddle coefficients index modifier */ + twidCoefModifier <<= 2U; + } + /* end of middle stage process */ + + /* data is in 10.6(q6) format for the 1024 point */ + /* data is in 8.8(q8) format for the 256 point */ + /* data is in 6.10(q10) format for the 64 point */ + /* data is in 4.12(q12) format for the 16 point */ + + /* Initializations for the last stage */ + j = fftLen >> 2; + + ptr1 = &pSrc16[0]; + + /* start of last stage process */ + + /* Butterfly implementation */ + do + { + /* Read xa (real), ya(imag) input */ + xaya = *__SIMD32(ptr1)++; + + /* Read xb (real), yb(imag) input */ + xbyb = *__SIMD32(ptr1)++; + + /* Read xc (real), yc(imag) input */ + xcyc = *__SIMD32(ptr1)++; + + /* Read xd (real), yd(imag) input */ + xdyd = *__SIMD32(ptr1)++; + + /* R = packed((ya + yc), (xa + xc)) */ + R = __QADD16(xaya, xcyc); + + /* T = packed((yb + yd), (xb + xd)) */ + T = __QADD16(xbyb, xdyd); + + /* pointer updation for writing */ + ptr1 = ptr1 - 8U; + + + /* xa' = xa + xb + xc + xd */ + /* ya' = ya + yb + yc + yd */ + *__SIMD32(ptr1)++ = __SHADD16(R, T); + + /* T = packed((yb + yd), (xb + xd)) */ + T = __QADD16(xbyb, xdyd); + + /* xc' = (xa-xb+xc-xd) */ + /* yc' = (ya-yb+yc-yd) */ + *__SIMD32(ptr1)++ = __SHSUB16(R, T); + + /* S = packed((ya - yc), (xa - xc)) */ + S = __QSUB16(xaya, xcyc); + + /* Read yd (real), xd(imag) input */ + /* T = packed( (yb - yd), (xb - xd)) */ + U = __QSUB16(xbyb, xdyd); + +#ifndef ARM_MATH_BIG_ENDIAN + + /* xb' = (xa+yb-xc-yd) */ + /* yb' = (ya-xb-yc+xd) */ + *__SIMD32(ptr1)++ = __SHASX(S, U); + + + /* xd' = (xa-yb-xc+yd) */ + /* yd' = (ya+xb-yc-xd) */ + *__SIMD32(ptr1)++ = __SHSAX(S, U); + +#else + + /* xb' = (xa+yb-xc-yd) */ + /* yb' = (ya-xb-yc+xd) */ + *__SIMD32(ptr1)++ = __SHSAX(S, U); + + + /* xd' = (xa-yb-xc+yd) */ + /* yd' = (ya+xb-yc-xd) */ + *__SIMD32(ptr1)++ = __SHASX(S, U); + + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + } while (--j); + + /* end of last stage process */ + + /* output is in 11.5(q5) format for the 1024 point */ + /* output is in 9.7(q7) format for the 256 point */ + /* output is in 7.9(q9) format for the 64 point */ + /* output is in 5.11(q11) format for the 16 point */ + + +#else + + /* Run the below code for Cortex-M0 */ + + q15_t R0, R1, S0, S1, T0, T1, U0, U1; + q15_t Co1, Si1, Co2, Si2, Co3, Si3, out1, out2; + uint32_t n1, n2, ic, i0, i1, i2, i3, j, k; + + /* Total process is divided into three stages */ + + /* process first stage, middle stages, & last stage */ + + /* Initializations for the first stage */ + n2 = fftLen; + n1 = n2; + + /* n2 = fftLen/4 */ + n2 >>= 2U; + + /* Index for twiddle coefficient */ + ic = 0U; + + /* Index for input read and output write */ + i0 = 0U; + + j = n2; + + /* Input is in 1.15(q15) format */ + + /* Start of first stage process */ + do + { + /* Butterfly implementation */ + + /* index calculation for the input as, */ + /* pSrc16[i0 + 0], pSrc16[i0 + fftLen/4], pSrc16[i0 + fftLen/2], pSrc16[i0 + 3fftLen/4] */ + i1 = i0 + n2; + i2 = i1 + n2; + i3 = i2 + n2; + + /* Reading i0, i0+fftLen/2 inputs */ + /* input is down scale by 4 to avoid overflow */ + /* Read ya (real), xa(imag) input */ + T0 = pSrc16[i0 * 2U] >> 2U; + T1 = pSrc16[(i0 * 2U) + 1U] >> 2U; + /* input is down scale by 4 to avoid overflow */ + /* Read yc (real), xc(imag) input */ + S0 = pSrc16[i2 * 2U] >> 2U; + S1 = pSrc16[(i2 * 2U) + 1U] >> 2U; + + /* R0 = (ya + yc), R1 = (xa + xc) */ + R0 = __SSAT(T0 + S0, 16U); + R1 = __SSAT(T1 + S1, 16U); + /* S0 = (ya - yc), S1 = (xa - xc) */ + S0 = __SSAT(T0 - S0, 16U); + S1 = __SSAT(T1 - S1, 16U); + + /* Reading i0+fftLen/4 , i0+3fftLen/4 inputs */ + /* input is down scale by 4 to avoid overflow */ + /* Read yb (real), xb(imag) input */ + T0 = pSrc16[i1 * 2U] >> 2U; + T1 = pSrc16[(i1 * 2U) + 1U] >> 2U; + /* Read yd (real), xd(imag) input */ + /* input is down scale by 4 to avoid overflow */ + U0 = pSrc16[i3 * 2U] >> 2U; + U1 = pSrc16[(i3 * 2U) + 1U] >> 2U; + + /* T0 = (yb + yd), T1 = (xb + xd) */ + T0 = __SSAT(T0 + U0, 16U); + T1 = __SSAT(T1 + U1, 16U); + + /* writing the butterfly processed i0 sample */ + /* xa' = xa + xb + xc + xd */ + /* ya' = ya + yb + yc + yd */ + pSrc16[i0 * 2U] = (R0 >> 1U) + (T0 >> 1U); + pSrc16[(i0 * 2U) + 1U] = (R1 >> 1U) + (T1 >> 1U); + + /* R0 = (ya + yc) - (yb + yd), R1 = (xa + xc)- (xb + xd) */ + R0 = __SSAT(R0 - T0, 16U); + R1 = __SSAT(R1 - T1, 16U); + /* co2 & si2 are read from Coefficient pointer */ + Co2 = pCoef16[2U * ic * 2U]; + Si2 = pCoef16[(2U * ic * 2U) + 1U]; + /* xc' = (xa-xb+xc-xd)* co2 - (ya-yb+yc-yd)* (si2) */ + out1 = (q15_t) ((Co2 * R0 - Si2 * R1) >> 16U); + /* yc' = (ya-yb+yc-yd)* co2 + (xa-xb+xc-xd)* (si2) */ + out2 = (q15_t) ((Si2 * R0 + Co2 * R1) >> 16U); + + /* Reading i0+fftLen/4 */ + /* input is down scale by 4 to avoid overflow */ + /* T0 = yb, T1 = xb */ + T0 = pSrc16[i1 * 2U] >> 2U; + T1 = pSrc16[(i1 * 2U) + 1U] >> 2U; + + /* writing the butterfly processed i0 + fftLen/4 sample */ + /* writing output(xc', yc') in little endian format */ + pSrc16[i1 * 2U] = out1; + pSrc16[(i1 * 2U) + 1U] = out2; + + /* Butterfly calculations */ + /* input is down scale by 4 to avoid overflow */ + /* U0 = yd, U1 = xd) */ + U0 = pSrc16[i3 * 2U] >> 2U; + U1 = pSrc16[(i3 * 2U) + 1U] >> 2U; + + /* T0 = yb-yd, T1 = xb-xd) */ + T0 = __SSAT(T0 - U0, 16U); + T1 = __SSAT(T1 - U1, 16U); + /* R0 = (ya-yc) - (xb- xd) , R1 = (xa-xc) + (yb-yd) */ + R0 = (q15_t) __SSAT((q31_t) (S0 + T1), 16); + R1 = (q15_t) __SSAT((q31_t) (S1 - T0), 16); + /* S = (ya-yc) + (xb- xd), S1 = (xa-xc) - (yb-yd) */ + S0 = (q15_t) __SSAT((q31_t) (S0 - T1), 16); + S1 = (q15_t) __SSAT((q31_t) (S1 + T0), 16); + + /* co1 & si1 are read from Coefficient pointer */ + Co1 = pCoef16[ic * 2U]; + Si1 = pCoef16[(ic * 2U) + 1U]; + /* Butterfly process for the i0+fftLen/2 sample */ + /* xb' = (xa-yb-xc+yd)* co1 - (ya+xb-yc-xd)* (si1) */ + out1 = (q15_t) ((Co1 * S0 - Si1 * S1) >> 16U); + /* yb' = (ya+xb-yc-xd)* co1 + (xa-yb-xc+yd)* (si1) */ + out2 = (q15_t) ((Si1 * S0 + Co1 * S1) >> 16U); + /* writing output(xb', yb') in little endian format */ + pSrc16[i2 * 2U] = out1; + pSrc16[(i2 * 2U) + 1U] = out2; + + /* Co3 & si3 are read from Coefficient pointer */ + Co3 = pCoef16[3U * ic * 2U]; + Si3 = pCoef16[(3U * ic * 2U) + 1U]; + /* Butterfly process for the i0+3fftLen/4 sample */ + /* xd' = (xa+yb-xc-yd)* Co3 - (ya-xb-yc+xd)* (si3) */ + out1 = (q15_t) ((Co3 * R0 - Si3 * R1) >> 16U); + /* yd' = (ya-xb-yc+xd)* Co3 + (xa+yb-xc-yd)* (si3) */ + out2 = (q15_t) ((Si3 * R0 + Co3 * R1) >> 16U); + /* writing output(xd', yd') in little endian format */ + pSrc16[i3 * 2U] = out1; + pSrc16[(i3 * 2U) + 1U] = out2; + + /* Twiddle coefficients index modifier */ + ic = ic + twidCoefModifier; + + /* Updating input index */ + i0 = i0 + 1U; + + } while (--j); + + /* End of first stage process */ + + /* data is in 4.11(q11) format */ + + + /* Start of Middle stage process */ + + /* Twiddle coefficients index modifier */ + twidCoefModifier <<= 2U; + + /* Calculation of Middle stage */ + for (k = fftLen / 4U; k > 4U; k >>= 2U) + { + /* Initializations for the middle stage */ + n1 = n2; + n2 >>= 2U; + ic = 0U; + + for (j = 0U; j <= (n2 - 1U); j++) + { + /* index calculation for the coefficients */ + Co1 = pCoef16[ic * 2U]; + Si1 = pCoef16[(ic * 2U) + 1U]; + Co2 = pCoef16[2U * ic * 2U]; + Si2 = pCoef16[2U * ic * 2U + 1U]; + Co3 = pCoef16[3U * ic * 2U]; + Si3 = pCoef16[(3U * ic * 2U) + 1U]; + + /* Twiddle coefficients index modifier */ + ic = ic + twidCoefModifier; + + /* Butterfly implementation */ + for (i0 = j; i0 < fftLen; i0 += n1) + { + /* index calculation for the input as, */ + /* pSrc16[i0 + 0], pSrc16[i0 + fftLen/4], pSrc16[i0 + fftLen/2], pSrc16[i0 + 3fftLen/4] */ + i1 = i0 + n2; + i2 = i1 + n2; + i3 = i2 + n2; + + /* Reading i0, i0+fftLen/2 inputs */ + /* Read ya (real), xa(imag) input */ + T0 = pSrc16[i0 * 2U]; + T1 = pSrc16[(i0 * 2U) + 1U]; + + /* Read yc (real), xc(imag) input */ + S0 = pSrc16[i2 * 2U]; + S1 = pSrc16[(i2 * 2U) + 1U]; + + + /* R0 = (ya + yc), R1 = (xa + xc) */ + R0 = __SSAT(T0 + S0, 16U); + R1 = __SSAT(T1 + S1, 16U); + /* S0 = (ya - yc), S1 = (xa - xc) */ + S0 = __SSAT(T0 - S0, 16U); + S1 = __SSAT(T1 - S1, 16U); + + /* Reading i0+fftLen/4 , i0+3fftLen/4 inputs */ + /* Read yb (real), xb(imag) input */ + T0 = pSrc16[i1 * 2U]; + T1 = pSrc16[(i1 * 2U) + 1U]; + + /* Read yd (real), xd(imag) input */ + U0 = pSrc16[i3 * 2U]; + U1 = pSrc16[(i3 * 2U) + 1U]; + + /* T0 = (yb + yd), T1 = (xb + xd) */ + T0 = __SSAT(T0 + U0, 16U); + T1 = __SSAT(T1 + U1, 16U); + + /* writing the butterfly processed i0 sample */ + /* xa' = xa + xb + xc + xd */ + /* ya' = ya + yb + yc + yd */ + pSrc16[i0 * 2U] = ((R0 >> 1U) + (T0 >> 1U)) >> 1U; + pSrc16[(i0 * 2U) + 1U] = ((R1 >> 1U) + (T1 >> 1U)) >> 1U; + + /* R0 = (ya + yc) - (yb + yd), R1 = (xa + xc) - (xb + xd) */ + R0 = (R0 >> 1U) - (T0 >> 1U); + R1 = (R1 >> 1U) - (T1 >> 1U); + + /* (ya-yb+yc-yd)* (si2) - (xa-xb+xc-xd)* co2 */ + out1 = (q15_t) ((Co2 * R0 - Si2 * R1) >> 16); + /* (ya-yb+yc-yd)* co2 + (xa-xb+xc-xd)* (si2) */ + out2 = (q15_t) ((Si2 * R0 + Co2 * R1) >> 16); + + /* Reading i0+3fftLen/4 */ + /* Read yb (real), xb(imag) input */ + T0 = pSrc16[i1 * 2U]; + T1 = pSrc16[(i1 * 2U) + 1U]; + + /* writing the butterfly processed i0 + fftLen/4 sample */ + /* xc' = (xa-xb+xc-xd)* co2 - (ya-yb+yc-yd)* (si2) */ + /* yc' = (ya-yb+yc-yd)* co2 + (xa-xb+xc-xd)* (si2) */ + pSrc16[i1 * 2U] = out1; + pSrc16[(i1 * 2U) + 1U] = out2; + + /* Butterfly calculations */ + /* Read yd (real), xd(imag) input */ + U0 = pSrc16[i3 * 2U]; + U1 = pSrc16[(i3 * 2U) + 1U]; + + /* T0 = yb-yd, T1 = xb-xd) */ + T0 = __SSAT(T0 - U0, 16U); + T1 = __SSAT(T1 - U1, 16U); + + /* R0 = (ya-yc) - (xb- xd) , R1 = (xa-xc) + (yb-yd) */ + R0 = (S0 >> 1U) + (T1 >> 1U); + R1 = (S1 >> 1U) - (T0 >> 1U); + + /* S1 = (ya-yc) + (xb- xd), S1 = (xa-xc) - (yb-yd) */ + S0 = (S0 >> 1U) - (T1 >> 1U); + S1 = (S1 >> 1U) + (T0 >> 1U); + + /* Butterfly process for the i0+fftLen/2 sample */ + out1 = (q15_t) ((Co1 * S0 - Si1 * S1) >> 16U); + out2 = (q15_t) ((Si1 * S0 + Co1 * S1) >> 16U); + /* xb' = (xa-yb-xc+yd)* co1 - (ya+xb-yc-xd)* (si1) */ + /* yb' = (ya+xb-yc-xd)* co1 + (xa-yb-xc+yd)* (si1) */ + pSrc16[i2 * 2U] = out1; + pSrc16[(i2 * 2U) + 1U] = out2; + + /* Butterfly process for the i0+3fftLen/4 sample */ + out1 = (q15_t) ((Co3 * R0 - Si3 * R1) >> 16U); + + out2 = (q15_t) ((Si3 * R0 + Co3 * R1) >> 16U); + /* xd' = (xa+yb-xc-yd)* Co3 - (ya-xb-yc+xd)* (si3) */ + /* yd' = (ya-xb-yc+xd)* Co3 + (xa+yb-xc-yd)* (si3) */ + pSrc16[i3 * 2U] = out1; + pSrc16[(i3 * 2U) + 1U] = out2; + + + } + } + /* Twiddle coefficients index modifier */ + twidCoefModifier <<= 2U; + } + /* End of Middle stages process */ + + + /* data is in 10.6(q6) format for the 1024 point */ + /* data is in 8.8(q8) format for the 256 point */ + /* data is in 6.10(q10) format for the 64 point */ + /* data is in 4.12(q12) format for the 16 point */ + + /* start of last stage process */ + + + /* Initializations for the last stage */ + n1 = n2; + n2 >>= 2U; + + /* Butterfly implementation */ + for (i0 = 0U; i0 <= (fftLen - n1); i0 += n1) + { + /* index calculation for the input as, */ + /* pSrc16[i0 + 0], pSrc16[i0 + fftLen/4], pSrc16[i0 + fftLen/2], pSrc16[i0 + 3fftLen/4] */ + i1 = i0 + n2; + i2 = i1 + n2; + i3 = i2 + n2; + + /* Reading i0, i0+fftLen/2 inputs */ + /* Read ya (real), xa(imag) input */ + T0 = pSrc16[i0 * 2U]; + T1 = pSrc16[(i0 * 2U) + 1U]; + /* Read yc (real), xc(imag) input */ + S0 = pSrc16[i2 * 2U]; + S1 = pSrc16[(i2 * 2U) + 1U]; + + /* R0 = (ya + yc), R1 = (xa + xc) */ + R0 = __SSAT(T0 + S0, 16U); + R1 = __SSAT(T1 + S1, 16U); + /* S0 = (ya - yc), S1 = (xa - xc) */ + S0 = __SSAT(T0 - S0, 16U); + S1 = __SSAT(T1 - S1, 16U); + + /* Reading i0+fftLen/4 , i0+3fftLen/4 inputs */ + /* Read yb (real), xb(imag) input */ + T0 = pSrc16[i1 * 2U]; + T1 = pSrc16[(i1 * 2U) + 1U]; + /* Read yd (real), xd(imag) input */ + U0 = pSrc16[i3 * 2U]; + U1 = pSrc16[(i3 * 2U) + 1U]; + + /* T0 = (yb + yd), T1 = (xb + xd) */ + T0 = __SSAT(T0 + U0, 16U); + T1 = __SSAT(T1 + U1, 16U); + + /* writing the butterfly processed i0 sample */ + /* xa' = xa + xb + xc + xd */ + /* ya' = ya + yb + yc + yd */ + pSrc16[i0 * 2U] = (R0 >> 1U) + (T0 >> 1U); + pSrc16[(i0 * 2U) + 1U] = (R1 >> 1U) + (T1 >> 1U); + + /* R0 = (ya + yc) - (yb + yd), R1 = (xa + xc) - (xb + xd) */ + R0 = (R0 >> 1U) - (T0 >> 1U); + R1 = (R1 >> 1U) - (T1 >> 1U); + + /* Read yb (real), xb(imag) input */ + T0 = pSrc16[i1 * 2U]; + T1 = pSrc16[(i1 * 2U) + 1U]; + + /* writing the butterfly processed i0 + fftLen/4 sample */ + /* xc' = (xa-xb+xc-xd) */ + /* yc' = (ya-yb+yc-yd) */ + pSrc16[i1 * 2U] = R0; + pSrc16[(i1 * 2U) + 1U] = R1; + + /* Read yd (real), xd(imag) input */ + U0 = pSrc16[i3 * 2U]; + U1 = pSrc16[(i3 * 2U) + 1U]; + /* T0 = (yb - yd), T1 = (xb - xd) */ + T0 = __SSAT(T0 - U0, 16U); + T1 = __SSAT(T1 - U1, 16U); + + /* writing the butterfly processed i0 + fftLen/2 sample */ + /* xb' = (xa-yb-xc+yd) */ + /* yb' = (ya+xb-yc-xd) */ + pSrc16[i2 * 2U] = (S0 >> 1U) - (T1 >> 1U); + pSrc16[(i2 * 2U) + 1U] = (S1 >> 1U) + (T0 >> 1U); + + + /* writing the butterfly processed i0 + 3fftLen/4 sample */ + /* xd' = (xa+yb-xc-yd) */ + /* yd' = (ya-xb-yc+xd) */ + pSrc16[i3 * 2U] = (S0 >> 1U) + (T1 >> 1U); + pSrc16[(i3 * 2U) + 1U] = (S1 >> 1U) - (T0 >> 1U); + } + /* end of last stage process */ + + /* output is in 11.5(q5) format for the 1024 point */ + /* output is in 9.7(q7) format for the 256 point */ + /* output is in 7.9(q9) format for the 64 point */ + /* output is in 5.11(q11) format for the 16 point */ + +#endif /* #if defined (ARM_MATH_DSP) */ + +} diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix4_q31.c b/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix4_q31.c new file mode 100644 index 0000000..35025bb --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix4_q31.c @@ -0,0 +1,1389 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_cfft_radix4_q31.c + * Description: This file has function definition of Radix-4 FFT & IFFT function and + * In-place bit reversal using bit reversal table + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +void arm_radix4_butterfly_inverse_q31( +q31_t * pSrc, +uint32_t fftLen, +q31_t * pCoef, +uint32_t twidCoefModifier); + +void arm_radix4_butterfly_q31( +q31_t * pSrc, +uint32_t fftLen, +q31_t * pCoef, +uint32_t twidCoefModifier); + +void arm_bitreversal_q31( +q31_t * pSrc, +uint32_t fftLen, +uint16_t bitRevFactor, +uint16_t * pBitRevTab); + +/** + * @ingroup groupTransforms + */ + +/** + * @addtogroup ComplexFFT + * @{ + */ + +/** + * @details + * @brief Processing function for the Q31 CFFT/CIFFT. + * @deprecated Do not use this function. It has been superseded by \ref arm_cfft_q31 and will be removed + * @param[in] *S points to an instance of the Q31 CFFT/CIFFT structure. + * @param[in, out] *pSrc points to the complex data buffer of size 2*fftLen. Processing occurs in-place. + * @return none. + * + * \par Input and output formats: + * \par + * Internally input is downscaled by 2 for every stage to avoid saturations inside CFFT/CIFFT process. + * Hence the output format is different for different FFT sizes. + * The input and output formats for different FFT sizes and number of bits to upscale are mentioned in the tables below for CFFT and CIFFT: + * \par + * \image html CFFTQ31.gif "Input and Output Formats for Q31 CFFT" + * \image html CIFFTQ31.gif "Input and Output Formats for Q31 CIFFT" + * + */ + +void arm_cfft_radix4_q31( + const arm_cfft_radix4_instance_q31 * S, + q31_t * pSrc) +{ + if (S->ifftFlag == 1U) + { + /* Complex IFFT radix-4 */ + arm_radix4_butterfly_inverse_q31(pSrc, S->fftLen, S->pTwiddle, S->twidCoefModifier); + } + else + { + /* Complex FFT radix-4 */ + arm_radix4_butterfly_q31(pSrc, S->fftLen, S->pTwiddle, S->twidCoefModifier); + } + + if (S->bitReverseFlag == 1U) + { + /* Bit Reversal */ + arm_bitreversal_q31(pSrc, S->fftLen, S->bitRevFactor, S->pBitRevTable); + } + +} + +/** + * @} end of ComplexFFT group + */ + +/* +* Radix-4 FFT algorithm used is : +* +* Input real and imaginary data: +* x(n) = xa + j * ya +* x(n+N/4 ) = xb + j * yb +* x(n+N/2 ) = xc + j * yc +* x(n+3N 4) = xd + j * yd +* +* +* Output real and imaginary data: +* x(4r) = xa'+ j * ya' +* x(4r+1) = xb'+ j * yb' +* x(4r+2) = xc'+ j * yc' +* x(4r+3) = xd'+ j * yd' +* +* +* Twiddle factors for radix-4 FFT: +* Wn = co1 + j * (- si1) +* W2n = co2 + j * (- si2) +* W3n = co3 + j * (- si3) +* +* Butterfly implementation: +* xa' = xa + xb + xc + xd +* ya' = ya + yb + yc + yd +* xb' = (xa+yb-xc-yd)* co1 + (ya-xb-yc+xd)* (si1) +* yb' = (ya-xb-yc+xd)* co1 - (xa+yb-xc-yd)* (si1) +* xc' = (xa-xb+xc-xd)* co2 + (ya-yb+yc-yd)* (si2) +* yc' = (ya-yb+yc-yd)* co2 - (xa-xb+xc-xd)* (si2) +* xd' = (xa-yb-xc+yd)* co3 + (ya+xb-yc-xd)* (si3) +* yd' = (ya+xb-yc-xd)* co3 - (xa-yb-xc+yd)* (si3) +* +*/ + +/** + * @brief Core function for the Q31 CFFT butterfly process. + * @param[in, out] *pSrc points to the in-place buffer of Q31 data type. + * @param[in] fftLen length of the FFT. + * @param[in] *pCoef points to twiddle coefficient buffer. + * @param[in] twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. + * @return none. + */ + +void arm_radix4_butterfly_q31( + q31_t * pSrc, + uint32_t fftLen, + q31_t * pCoef, + uint32_t twidCoefModifier) +{ +#if defined(ARM_MATH_CM7) + uint32_t n1, n2, ia1, ia2, ia3, i0, i1, i2, i3, j, k; + q31_t t1, t2, r1, r2, s1, s2, co1, co2, co3, si1, si2, si3; + + q31_t xa, xb, xc, xd; + q31_t ya, yb, yc, yd; + q31_t xa_out, xb_out, xc_out, xd_out; + q31_t ya_out, yb_out, yc_out, yd_out; + + q31_t *ptr1; + q63_t xaya, xbyb, xcyc, xdyd; + /* Total process is divided into three stages */ + + /* process first stage, middle stages, & last stage */ + + + /* start of first stage process */ + + /* Initializations for the first stage */ + n2 = fftLen; + n1 = n2; + /* n2 = fftLen/4 */ + n2 >>= 2U; + i0 = 0U; + ia1 = 0U; + + j = n2; + + /* Calculation of first stage */ + do + { + /* index calculation for the input as, */ + /* pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2U], pSrc[i0 + 3fftLen/4] */ + i1 = i0 + n2; + i2 = i1 + n2; + i3 = i2 + n2; + + /* input is in 1.31(q31) format and provide 4 guard bits for the input */ + + /* Butterfly implementation */ + /* xa + xc */ + r1 = (pSrc[(2U * i0)] >> 4U) + (pSrc[(2U * i2)] >> 4U); + /* xa - xc */ + r2 = (pSrc[2U * i0] >> 4U) - (pSrc[2U * i2] >> 4U); + + /* xb + xd */ + t1 = (pSrc[2U * i1] >> 4U) + (pSrc[2U * i3] >> 4U); + + /* ya + yc */ + s1 = (pSrc[(2U * i0) + 1U] >> 4U) + (pSrc[(2U * i2) + 1U] >> 4U); + /* ya - yc */ + s2 = (pSrc[(2U * i0) + 1U] >> 4U) - (pSrc[(2U * i2) + 1U] >> 4U); + + /* xa' = xa + xb + xc + xd */ + pSrc[2U * i0] = (r1 + t1); + /* (xa + xc) - (xb + xd) */ + r1 = r1 - t1; + /* yb + yd */ + t2 = (pSrc[(2U * i1) + 1U] >> 4U) + (pSrc[(2U * i3) + 1U] >> 4U); + + /* ya' = ya + yb + yc + yd */ + pSrc[(2U * i0) + 1U] = (s1 + t2); + + /* (ya + yc) - (yb + yd) */ + s1 = s1 - t2; + + /* yb - yd */ + t1 = (pSrc[(2U * i1) + 1U] >> 4U) - (pSrc[(2U * i3) + 1U] >> 4U); + /* xb - xd */ + t2 = (pSrc[2U * i1] >> 4U) - (pSrc[2U * i3] >> 4U); + + /* index calculation for the coefficients */ + ia2 = 2U * ia1; + co2 = pCoef[ia2 * 2U]; + si2 = pCoef[(ia2 * 2U) + 1U]; + + /* xc' = (xa-xb+xc-xd)co2 + (ya-yb+yc-yd)(si2) */ + pSrc[2U * i1] = (((int32_t) (((q63_t) r1 * co2) >> 32)) + + ((int32_t) (((q63_t) s1 * si2) >> 32))) << 1U; + + /* yc' = (ya-yb+yc-yd)co2 - (xa-xb+xc-xd)(si2) */ + pSrc[(2U * i1) + 1U] = (((int32_t) (((q63_t) s1 * co2) >> 32)) - + ((int32_t) (((q63_t) r1 * si2) >> 32))) << 1U; + + /* (xa - xc) + (yb - yd) */ + r1 = r2 + t1; + /* (xa - xc) - (yb - yd) */ + r2 = r2 - t1; + + /* (ya - yc) - (xb - xd) */ + s1 = s2 - t2; + /* (ya - yc) + (xb - xd) */ + s2 = s2 + t2; + + co1 = pCoef[ia1 * 2U]; + si1 = pCoef[(ia1 * 2U) + 1U]; + + /* xb' = (xa+yb-xc-yd)co1 + (ya-xb-yc+xd)(si1) */ + pSrc[2U * i2] = (((int32_t) (((q63_t) r1 * co1) >> 32)) + + ((int32_t) (((q63_t) s1 * si1) >> 32))) << 1U; + + /* yb' = (ya-xb-yc+xd)co1 - (xa+yb-xc-yd)(si1) */ + pSrc[(2U * i2) + 1U] = (((int32_t) (((q63_t) s1 * co1) >> 32)) - + ((int32_t) (((q63_t) r1 * si1) >> 32))) << 1U; + + /* index calculation for the coefficients */ + ia3 = 3U * ia1; + co3 = pCoef[ia3 * 2U]; + si3 = pCoef[(ia3 * 2U) + 1U]; + + /* xd' = (xa-yb-xc+yd)co3 + (ya+xb-yc-xd)(si3) */ + pSrc[2U * i3] = (((int32_t) (((q63_t) r2 * co3) >> 32)) + + ((int32_t) (((q63_t) s2 * si3) >> 32))) << 1U; + + /* yd' = (ya+xb-yc-xd)co3 - (xa-yb-xc+yd)(si3) */ + pSrc[(2U * i3) + 1U] = (((int32_t) (((q63_t) s2 * co3) >> 32)) - + ((int32_t) (((q63_t) r2 * si3) >> 32))) << 1U; + + /* Twiddle coefficients index modifier */ + ia1 = ia1 + twidCoefModifier; + + /* Updating input index */ + i0 = i0 + 1U; + + } while (--j); + + /* end of first stage process */ + + /* data is in 5.27(q27) format */ + + + /* start of Middle stages process */ + + + /* each stage in middle stages provides two down scaling of the input */ + + twidCoefModifier <<= 2U; + + + for (k = fftLen / 4U; k > 4U; k >>= 2U) + { + /* Initializations for the first stage */ + n1 = n2; + n2 >>= 2U; + ia1 = 0U; + + /* Calculation of first stage */ + for (j = 0U; j <= (n2 - 1U); j++) + { + /* index calculation for the coefficients */ + ia2 = ia1 + ia1; + ia3 = ia2 + ia1; + co1 = pCoef[ia1 * 2U]; + si1 = pCoef[(ia1 * 2U) + 1U]; + co2 = pCoef[ia2 * 2U]; + si2 = pCoef[(ia2 * 2U) + 1U]; + co3 = pCoef[ia3 * 2U]; + si3 = pCoef[(ia3 * 2U) + 1U]; + /* Twiddle coefficients index modifier */ + ia1 = ia1 + twidCoefModifier; + + for (i0 = j; i0 < fftLen; i0 += n1) + { + /* index calculation for the input as, */ + /* pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2U], pSrc[i0 + 3fftLen/4] */ + i1 = i0 + n2; + i2 = i1 + n2; + i3 = i2 + n2; + + /* Butterfly implementation */ + /* xa + xc */ + r1 = pSrc[2U * i0] + pSrc[2U * i2]; + /* xa - xc */ + r2 = pSrc[2U * i0] - pSrc[2U * i2]; + + /* ya + yc */ + s1 = pSrc[(2U * i0) + 1U] + pSrc[(2U * i2) + 1U]; + /* ya - yc */ + s2 = pSrc[(2U * i0) + 1U] - pSrc[(2U * i2) + 1U]; + + /* xb + xd */ + t1 = pSrc[2U * i1] + pSrc[2U * i3]; + + /* xa' = xa + xb + xc + xd */ + pSrc[2U * i0] = (r1 + t1) >> 2U; + /* xa + xc -(xb + xd) */ + r1 = r1 - t1; + + /* yb + yd */ + t2 = pSrc[(2U * i1) + 1U] + pSrc[(2U * i3) + 1U]; + /* ya' = ya + yb + yc + yd */ + pSrc[(2U * i0) + 1U] = (s1 + t2) >> 2U; + + /* (ya + yc) - (yb + yd) */ + s1 = s1 - t2; + + /* (yb - yd) */ + t1 = pSrc[(2U * i1) + 1U] - pSrc[(2U * i3) + 1U]; + /* (xb - xd) */ + t2 = pSrc[2U * i1] - pSrc[2U * i3]; + + /* xc' = (xa-xb+xc-xd)co2 + (ya-yb+yc-yd)(si2) */ + pSrc[2U * i1] = (((int32_t) (((q63_t) r1 * co2) >> 32)) + + ((int32_t) (((q63_t) s1 * si2) >> 32))) >> 1U; + + /* yc' = (ya-yb+yc-yd)co2 - (xa-xb+xc-xd)(si2) */ + pSrc[(2U * i1) + 1U] = (((int32_t) (((q63_t) s1 * co2) >> 32)) - + ((int32_t) (((q63_t) r1 * si2) >> 32))) >> 1U; + + /* (xa - xc) + (yb - yd) */ + r1 = r2 + t1; + /* (xa - xc) - (yb - yd) */ + r2 = r2 - t1; + + /* (ya - yc) - (xb - xd) */ + s1 = s2 - t2; + /* (ya - yc) + (xb - xd) */ + s2 = s2 + t2; + + /* xb' = (xa+yb-xc-yd)co1 + (ya-xb-yc+xd)(si1) */ + pSrc[2U * i2] = (((int32_t) (((q63_t) r1 * co1) >> 32)) + + ((int32_t) (((q63_t) s1 * si1) >> 32))) >> 1U; + + /* yb' = (ya-xb-yc+xd)co1 - (xa+yb-xc-yd)(si1) */ + pSrc[(2U * i2) + 1U] = (((int32_t) (((q63_t) s1 * co1) >> 32)) - + ((int32_t) (((q63_t) r1 * si1) >> 32))) >> 1U; + + /* xd' = (xa-yb-xc+yd)co3 + (ya+xb-yc-xd)(si3) */ + pSrc[2U * i3] = (((int32_t) (((q63_t) r2 * co3) >> 32)) + + ((int32_t) (((q63_t) s2 * si3) >> 32))) >> 1U; + + /* yd' = (ya+xb-yc-xd)co3 - (xa-yb-xc+yd)(si3) */ + pSrc[(2U * i3) + 1U] = (((int32_t) (((q63_t) s2 * co3) >> 32)) - + ((int32_t) (((q63_t) r2 * si3) >> 32))) >> 1U; + } + } + twidCoefModifier <<= 2U; + } +#else + uint32_t n1, n2, ia1, ia2, ia3, i0, j, k; + q31_t t1, t2, r1, r2, s1, s2, co1, co2, co3, si1, si2, si3; + + q31_t xa, xb, xc, xd; + q31_t ya, yb, yc, yd; + q31_t xa_out, xb_out, xc_out, xd_out; + q31_t ya_out, yb_out, yc_out, yd_out; + + q31_t *ptr1; + q31_t *pSi0; + q31_t *pSi1; + q31_t *pSi2; + q31_t *pSi3; + q63_t xaya, xbyb, xcyc, xdyd; + /* Total process is divided into three stages */ + + /* process first stage, middle stages, & last stage */ + + + /* start of first stage process */ + + /* Initializations for the first stage */ + n2 = fftLen; + n1 = n2; + /* n2 = fftLen/4 */ + n2 >>= 2U; + + ia1 = 0U; + + j = n2; + + pSi0 = pSrc; + pSi1 = pSi0 + 2 * n2; + pSi2 = pSi1 + 2 * n2; + pSi3 = pSi2 + 2 * n2; + + /* Calculation of first stage */ + do + { + /* input is in 1.31(q31) format and provide 4 guard bits for the input */ + + /* Butterfly implementation */ + /* xa + xc */ + r1 = (pSi0[0] >> 4U) + (pSi2[0] >> 4U); + /* xa - xc */ + r2 = (pSi0[0] >> 4U) - (pSi2[0] >> 4U); + + /* xb + xd */ + t1 = (pSi1[0] >> 4U) + (pSi3[0] >> 4U); + + /* ya + yc */ + s1 = (pSi0[1] >> 4U) + (pSi2[1] >> 4U); + /* ya - yc */ + s2 = (pSi0[1] >> 4U) - (pSi2[1] >> 4U); + + /* xa' = xa + xb + xc + xd */ + *pSi0++ = (r1 + t1); + /* (xa + xc) - (xb + xd) */ + r1 = r1 - t1; + /* yb + yd */ + t2 = (pSi1[1] >> 4U) + (pSi3[1] >> 4U); + + /* ya' = ya + yb + yc + yd */ + *pSi0++ = (s1 + t2); + + /* (ya + yc) - (yb + yd) */ + s1 = s1 - t2; + + /* yb - yd */ + t1 = (pSi1[1] >> 4U) - (pSi3[1] >> 4U); + /* xb - xd */ + t2 = (pSi1[0] >> 4U) - (pSi3[0] >> 4U); + + /* index calculation for the coefficients */ + ia2 = 2U * ia1; + co2 = pCoef[ia2 * 2U]; + si2 = pCoef[(ia2 * 2U) + 1U]; + + /* xc' = (xa-xb+xc-xd)co2 + (ya-yb+yc-yd)(si2) */ + *pSi1++ = (((int32_t) (((q63_t) r1 * co2) >> 32)) + + ((int32_t) (((q63_t) s1 * si2) >> 32))) << 1U; + + /* yc' = (ya-yb+yc-yd)co2 - (xa-xb+xc-xd)(si2) */ + *pSi1++ = (((int32_t) (((q63_t) s1 * co2) >> 32)) - + ((int32_t) (((q63_t) r1 * si2) >> 32))) << 1U; + + /* (xa - xc) + (yb - yd) */ + r1 = r2 + t1; + /* (xa - xc) - (yb - yd) */ + r2 = r2 - t1; + + /* (ya - yc) - (xb - xd) */ + s1 = s2 - t2; + /* (ya - yc) + (xb - xd) */ + s2 = s2 + t2; + + co1 = pCoef[ia1 * 2U]; + si1 = pCoef[(ia1 * 2U) + 1U]; + + /* xb' = (xa+yb-xc-yd)co1 + (ya-xb-yc+xd)(si1) */ + *pSi2++ = (((int32_t) (((q63_t) r1 * co1) >> 32)) + + ((int32_t) (((q63_t) s1 * si1) >> 32))) << 1U; + + /* yb' = (ya-xb-yc+xd)co1 - (xa+yb-xc-yd)(si1) */ + *pSi2++ = (((int32_t) (((q63_t) s1 * co1) >> 32)) - + ((int32_t) (((q63_t) r1 * si1) >> 32))) << 1U; + + /* index calculation for the coefficients */ + ia3 = 3U * ia1; + co3 = pCoef[ia3 * 2U]; + si3 = pCoef[(ia3 * 2U) + 1U]; + + /* xd' = (xa-yb-xc+yd)co3 + (ya+xb-yc-xd)(si3) */ + *pSi3++ = (((int32_t) (((q63_t) r2 * co3) >> 32)) + + ((int32_t) (((q63_t) s2 * si3) >> 32))) << 1U; + + /* yd' = (ya+xb-yc-xd)co3 - (xa-yb-xc+yd)(si3) */ + *pSi3++ = (((int32_t) (((q63_t) s2 * co3) >> 32)) - + ((int32_t) (((q63_t) r2 * si3) >> 32))) << 1U; + + /* Twiddle coefficients index modifier */ + ia1 = ia1 + twidCoefModifier; + + } while (--j); + + /* end of first stage process */ + + /* data is in 5.27(q27) format */ + + + /* start of Middle stages process */ + + + /* each stage in middle stages provides two down scaling of the input */ + + twidCoefModifier <<= 2U; + + + for (k = fftLen / 4U; k > 4U; k >>= 2U) + { + /* Initializations for the first stage */ + n1 = n2; + n2 >>= 2U; + ia1 = 0U; + + /* Calculation of first stage */ + for (j = 0U; j <= (n2 - 1U); j++) + { + /* index calculation for the coefficients */ + ia2 = ia1 + ia1; + ia3 = ia2 + ia1; + co1 = pCoef[ia1 * 2U]; + si1 = pCoef[(ia1 * 2U) + 1U]; + co2 = pCoef[ia2 * 2U]; + si2 = pCoef[(ia2 * 2U) + 1U]; + co3 = pCoef[ia3 * 2U]; + si3 = pCoef[(ia3 * 2U) + 1U]; + /* Twiddle coefficients index modifier */ + ia1 = ia1 + twidCoefModifier; + + pSi0 = pSrc + 2 * j; + pSi1 = pSi0 + 2 * n2; + pSi2 = pSi1 + 2 * n2; + pSi3 = pSi2 + 2 * n2; + + for (i0 = j; i0 < fftLen; i0 += n1) + { + /* Butterfly implementation */ + /* xa + xc */ + r1 = pSi0[0] + pSi2[0]; + + /* xa - xc */ + r2 = pSi0[0] - pSi2[0]; + + + /* ya + yc */ + s1 = pSi0[1] + pSi2[1]; + + /* ya - yc */ + s2 = pSi0[1] - pSi2[1]; + + + /* xb + xd */ + t1 = pSi1[0] + pSi3[0]; + + + /* xa' = xa + xb + xc + xd */ + pSi0[0] = (r1 + t1) >> 2U; + /* xa + xc -(xb + xd) */ + r1 = r1 - t1; + + /* yb + yd */ + t2 = pSi1[1] + pSi3[1]; + + /* ya' = ya + yb + yc + yd */ + pSi0[1] = (s1 + t2) >> 2U; + pSi0 += 2 * n1; + + /* (ya + yc) - (yb + yd) */ + s1 = s1 - t2; + + /* (yb - yd) */ + t1 = pSi1[1] - pSi3[1]; + + /* (xb - xd) */ + t2 = pSi1[0] - pSi3[0]; + + + /* xc' = (xa-xb+xc-xd)co2 + (ya-yb+yc-yd)(si2) */ + pSi1[0] = (((int32_t) (((q63_t) r1 * co2) >> 32)) + + ((int32_t) (((q63_t) s1 * si2) >> 32))) >> 1U; + + /* yc' = (ya-yb+yc-yd)co2 - (xa-xb+xc-xd)(si2) */ + pSi1[1] = (((int32_t) (((q63_t) s1 * co2) >> 32)) - + ((int32_t) (((q63_t) r1 * si2) >> 32))) >> 1U; + pSi1 += 2 * n1; + + /* (xa - xc) + (yb - yd) */ + r1 = r2 + t1; + /* (xa - xc) - (yb - yd) */ + r2 = r2 - t1; + + /* (ya - yc) - (xb - xd) */ + s1 = s2 - t2; + /* (ya - yc) + (xb - xd) */ + s2 = s2 + t2; + + /* xb' = (xa+yb-xc-yd)co1 + (ya-xb-yc+xd)(si1) */ + pSi2[0] = (((int32_t) (((q63_t) r1 * co1) >> 32)) + + ((int32_t) (((q63_t) s1 * si1) >> 32))) >> 1U; + + /* yb' = (ya-xb-yc+xd)co1 - (xa+yb-xc-yd)(si1) */ + pSi2[1] = (((int32_t) (((q63_t) s1 * co1) >> 32)) - + ((int32_t) (((q63_t) r1 * si1) >> 32))) >> 1U; + pSi2 += 2 * n1; + + /* xd' = (xa-yb-xc+yd)co3 + (ya+xb-yc-xd)(si3) */ + pSi3[0] = (((int32_t) (((q63_t) r2 * co3) >> 32)) + + ((int32_t) (((q63_t) s2 * si3) >> 32))) >> 1U; + + /* yd' = (ya+xb-yc-xd)co3 - (xa-yb-xc+yd)(si3) */ + pSi3[1] = (((int32_t) (((q63_t) s2 * co3) >> 32)) - + ((int32_t) (((q63_t) r2 * si3) >> 32))) >> 1U; + pSi3 += 2 * n1; + } + } + twidCoefModifier <<= 2U; + } +#endif + + /* End of Middle stages process */ + + /* data is in 11.21(q21) format for the 1024 point as there are 3 middle stages */ + /* data is in 9.23(q23) format for the 256 point as there are 2 middle stages */ + /* data is in 7.25(q25) format for the 64 point as there are 1 middle stage */ + /* data is in 5.27(q27) format for the 16 point as there are no middle stages */ + + + /* start of Last stage process */ + /* Initializations for the last stage */ + j = fftLen >> 2; + ptr1 = &pSrc[0]; + + /* Calculations of last stage */ + do + { + +#ifndef ARM_MATH_BIG_ENDIAN + + /* Read xa (real), ya(imag) input */ + xaya = *__SIMD64(ptr1)++; + xa = (q31_t) xaya; + ya = (q31_t) (xaya >> 32); + + /* Read xb (real), yb(imag) input */ + xbyb = *__SIMD64(ptr1)++; + xb = (q31_t) xbyb; + yb = (q31_t) (xbyb >> 32); + + /* Read xc (real), yc(imag) input */ + xcyc = *__SIMD64(ptr1)++; + xc = (q31_t) xcyc; + yc = (q31_t) (xcyc >> 32); + + /* Read xc (real), yc(imag) input */ + xdyd = *__SIMD64(ptr1)++; + xd = (q31_t) xdyd; + yd = (q31_t) (xdyd >> 32); + +#else + + /* Read xa (real), ya(imag) input */ + xaya = *__SIMD64(ptr1)++; + ya = (q31_t) xaya; + xa = (q31_t) (xaya >> 32); + + /* Read xb (real), yb(imag) input */ + xbyb = *__SIMD64(ptr1)++; + yb = (q31_t) xbyb; + xb = (q31_t) (xbyb >> 32); + + /* Read xc (real), yc(imag) input */ + xcyc = *__SIMD64(ptr1)++; + yc = (q31_t) xcyc; + xc = (q31_t) (xcyc >> 32); + + /* Read xc (real), yc(imag) input */ + xdyd = *__SIMD64(ptr1)++; + yd = (q31_t) xdyd; + xd = (q31_t) (xdyd >> 32); + + +#endif + + /* xa' = xa + xb + xc + xd */ + xa_out = xa + xb + xc + xd; + + /* ya' = ya + yb + yc + yd */ + ya_out = ya + yb + yc + yd; + + /* pointer updation for writing */ + ptr1 = ptr1 - 8U; + + /* writing xa' and ya' */ + *ptr1++ = xa_out; + *ptr1++ = ya_out; + + xc_out = (xa - xb + xc - xd); + yc_out = (ya - yb + yc - yd); + + /* writing xc' and yc' */ + *ptr1++ = xc_out; + *ptr1++ = yc_out; + + xb_out = (xa + yb - xc - yd); + yb_out = (ya - xb - yc + xd); + + /* writing xb' and yb' */ + *ptr1++ = xb_out; + *ptr1++ = yb_out; + + xd_out = (xa - yb - xc + yd); + yd_out = (ya + xb - yc - xd); + + /* writing xd' and yd' */ + *ptr1++ = xd_out; + *ptr1++ = yd_out; + + + } while (--j); + + /* output is in 11.21(q21) format for the 1024 point */ + /* output is in 9.23(q23) format for the 256 point */ + /* output is in 7.25(q25) format for the 64 point */ + /* output is in 5.27(q27) format for the 16 point */ + + /* End of last stage process */ + +} + + +/** + * @brief Core function for the Q31 CIFFT butterfly process. + * @param[in, out] *pSrc points to the in-place buffer of Q31 data type. + * @param[in] fftLen length of the FFT. + * @param[in] *pCoef points to twiddle coefficient buffer. + * @param[in] twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. + * @return none. + */ + + +/* +* Radix-4 IFFT algorithm used is : +* +* CIFFT uses same twiddle coefficients as CFFT Function +* x[k] = x[n] + (j)k * x[n + fftLen/4] + (-1)k * x[n+fftLen/2] + (-j)k * x[n+3*fftLen/4] +* +* +* IFFT is implemented with following changes in equations from FFT +* +* Input real and imaginary data: +* x(n) = xa + j * ya +* x(n+N/4 ) = xb + j * yb +* x(n+N/2 ) = xc + j * yc +* x(n+3N 4) = xd + j * yd +* +* +* Output real and imaginary data: +* x(4r) = xa'+ j * ya' +* x(4r+1) = xb'+ j * yb' +* x(4r+2) = xc'+ j * yc' +* x(4r+3) = xd'+ j * yd' +* +* +* Twiddle factors for radix-4 IFFT: +* Wn = co1 + j * (si1) +* W2n = co2 + j * (si2) +* W3n = co3 + j * (si3) + +* The real and imaginary output values for the radix-4 butterfly are +* xa' = xa + xb + xc + xd +* ya' = ya + yb + yc + yd +* xb' = (xa-yb-xc+yd)* co1 - (ya+xb-yc-xd)* (si1) +* yb' = (ya+xb-yc-xd)* co1 + (xa-yb-xc+yd)* (si1) +* xc' = (xa-xb+xc-xd)* co2 - (ya-yb+yc-yd)* (si2) +* yc' = (ya-yb+yc-yd)* co2 + (xa-xb+xc-xd)* (si2) +* xd' = (xa+yb-xc-yd)* co3 - (ya-xb-yc+xd)* (si3) +* yd' = (ya-xb-yc+xd)* co3 + (xa+yb-xc-yd)* (si3) +* +*/ + +void arm_radix4_butterfly_inverse_q31( + q31_t * pSrc, + uint32_t fftLen, + q31_t * pCoef, + uint32_t twidCoefModifier) +{ +#if defined(ARM_MATH_CM7) + uint32_t n1, n2, ia1, ia2, ia3, i0, i1, i2, i3, j, k; + q31_t t1, t2, r1, r2, s1, s2, co1, co2, co3, si1, si2, si3; + q31_t xa, xb, xc, xd; + q31_t ya, yb, yc, yd; + q31_t xa_out, xb_out, xc_out, xd_out; + q31_t ya_out, yb_out, yc_out, yd_out; + + q31_t *ptr1; + q63_t xaya, xbyb, xcyc, xdyd; + + /* input is be 1.31(q31) format for all FFT sizes */ + /* Total process is divided into three stages */ + /* process first stage, middle stages, & last stage */ + + /* Start of first stage process */ + + /* Initializations for the first stage */ + n2 = fftLen; + n1 = n2; + /* n2 = fftLen/4 */ + n2 >>= 2U; + i0 = 0U; + ia1 = 0U; + + j = n2; + + do + { + + /* input is in 1.31(q31) format and provide 4 guard bits for the input */ + + /* index calculation for the input as, */ + /* pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2U], pSrc[i0 + 3fftLen/4] */ + i1 = i0 + n2; + i2 = i1 + n2; + i3 = i2 + n2; + + /* Butterfly implementation */ + /* xa + xc */ + r1 = (pSrc[2U * i0] >> 4U) + (pSrc[2U * i2] >> 4U); + /* xa - xc */ + r2 = (pSrc[2U * i0] >> 4U) - (pSrc[2U * i2] >> 4U); + + /* xb + xd */ + t1 = (pSrc[2U * i1] >> 4U) + (pSrc[2U * i3] >> 4U); + + /* ya + yc */ + s1 = (pSrc[(2U * i0) + 1U] >> 4U) + (pSrc[(2U * i2) + 1U] >> 4U); + /* ya - yc */ + s2 = (pSrc[(2U * i0) + 1U] >> 4U) - (pSrc[(2U * i2) + 1U] >> 4U); + + /* xa' = xa + xb + xc + xd */ + pSrc[2U * i0] = (r1 + t1); + /* (xa + xc) - (xb + xd) */ + r1 = r1 - t1; + /* yb + yd */ + t2 = (pSrc[(2U * i1) + 1U] >> 4U) + (pSrc[(2U * i3) + 1U] >> 4U); + /* ya' = ya + yb + yc + yd */ + pSrc[(2U * i0) + 1U] = (s1 + t2); + + /* (ya + yc) - (yb + yd) */ + s1 = s1 - t2; + + /* yb - yd */ + t1 = (pSrc[(2U * i1) + 1U] >> 4U) - (pSrc[(2U * i3) + 1U] >> 4U); + /* xb - xd */ + t2 = (pSrc[2U * i1] >> 4U) - (pSrc[2U * i3] >> 4U); + + /* index calculation for the coefficients */ + ia2 = 2U * ia1; + co2 = pCoef[ia2 * 2U]; + si2 = pCoef[(ia2 * 2U) + 1U]; + + /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */ + pSrc[2U * i1] = (((int32_t) (((q63_t) r1 * co2) >> 32)) - + ((int32_t) (((q63_t) s1 * si2) >> 32))) << 1U; + + /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */ + pSrc[2U * i1 + 1U] = (((int32_t) (((q63_t) s1 * co2) >> 32)) + + ((int32_t) (((q63_t) r1 * si2) >> 32))) << 1U; + + /* (xa - xc) - (yb - yd) */ + r1 = r2 - t1; + /* (xa - xc) + (yb - yd) */ + r2 = r2 + t1; + + /* (ya - yc) + (xb - xd) */ + s1 = s2 + t2; + /* (ya - yc) - (xb - xd) */ + s2 = s2 - t2; + + co1 = pCoef[ia1 * 2U]; + si1 = pCoef[(ia1 * 2U) + 1U]; + + /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */ + pSrc[2U * i2] = (((int32_t) (((q63_t) r1 * co1) >> 32)) - + ((int32_t) (((q63_t) s1 * si1) >> 32))) << 1U; + + /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */ + pSrc[(2U * i2) + 1U] = (((int32_t) (((q63_t) s1 * co1) >> 32)) + + ((int32_t) (((q63_t) r1 * si1) >> 32))) << 1U; + + /* index calculation for the coefficients */ + ia3 = 3U * ia1; + co3 = pCoef[ia3 * 2U]; + si3 = pCoef[(ia3 * 2U) + 1U]; + + /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */ + pSrc[2U * i3] = (((int32_t) (((q63_t) r2 * co3) >> 32)) - + ((int32_t) (((q63_t) s2 * si3) >> 32))) << 1U; + + /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */ + pSrc[(2U * i3) + 1U] = (((int32_t) (((q63_t) s2 * co3) >> 32)) + + ((int32_t) (((q63_t) r2 * si3) >> 32))) << 1U; + + /* Twiddle coefficients index modifier */ + ia1 = ia1 + twidCoefModifier; + + /* Updating input index */ + i0 = i0 + 1U; + + } while (--j); + + /* data is in 5.27(q27) format */ + /* each stage provides two down scaling of the input */ + + + /* Start of Middle stages process */ + + twidCoefModifier <<= 2U; + + /* Calculation of second stage to excluding last stage */ + for (k = fftLen / 4U; k > 4U; k >>= 2U) + { + /* Initializations for the first stage */ + n1 = n2; + n2 >>= 2U; + ia1 = 0U; + + for (j = 0; j <= (n2 - 1U); j++) + { + /* index calculation for the coefficients */ + ia2 = ia1 + ia1; + ia3 = ia2 + ia1; + co1 = pCoef[ia1 * 2U]; + si1 = pCoef[(ia1 * 2U) + 1U]; + co2 = pCoef[ia2 * 2U]; + si2 = pCoef[(ia2 * 2U) + 1U]; + co3 = pCoef[ia3 * 2U]; + si3 = pCoef[(ia3 * 2U) + 1U]; + /* Twiddle coefficients index modifier */ + ia1 = ia1 + twidCoefModifier; + + for (i0 = j; i0 < fftLen; i0 += n1) + { + /* index calculation for the input as, */ + /* pSrc[i0 + 0], pSrc[i0 + fftLen/4], pSrc[i0 + fftLen/2U], pSrc[i0 + 3fftLen/4] */ + i1 = i0 + n2; + i2 = i1 + n2; + i3 = i2 + n2; + + /* Butterfly implementation */ + /* xa + xc */ + r1 = pSrc[2U * i0] + pSrc[2U * i2]; + /* xa - xc */ + r2 = pSrc[2U * i0] - pSrc[2U * i2]; + + /* ya + yc */ + s1 = pSrc[(2U * i0) + 1U] + pSrc[(2U * i2) + 1U]; + /* ya - yc */ + s2 = pSrc[(2U * i0) + 1U] - pSrc[(2U * i2) + 1U]; + + /* xb + xd */ + t1 = pSrc[2U * i1] + pSrc[2U * i3]; + + /* xa' = xa + xb + xc + xd */ + pSrc[2U * i0] = (r1 + t1) >> 2U; + /* xa + xc -(xb + xd) */ + r1 = r1 - t1; + /* yb + yd */ + t2 = pSrc[(2U * i1) + 1U] + pSrc[(2U * i3) + 1U]; + /* ya' = ya + yb + yc + yd */ + pSrc[(2U * i0) + 1U] = (s1 + t2) >> 2U; + + /* (ya + yc) - (yb + yd) */ + s1 = s1 - t2; + + /* (yb - yd) */ + t1 = pSrc[(2U * i1) + 1U] - pSrc[(2U * i3) + 1U]; + /* (xb - xd) */ + t2 = pSrc[2U * i1] - pSrc[2U * i3]; + + /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */ + pSrc[2U * i1] = (((int32_t) (((q63_t) r1 * co2) >> 32U)) - + ((int32_t) (((q63_t) s1 * si2) >> 32U))) >> 1U; + + /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */ + pSrc[(2U * i1) + 1U] = + (((int32_t) (((q63_t) s1 * co2) >> 32U)) + + ((int32_t) (((q63_t) r1 * si2) >> 32U))) >> 1U; + + /* (xa - xc) - (yb - yd) */ + r1 = r2 - t1; + /* (xa - xc) + (yb - yd) */ + r2 = r2 + t1; + + /* (ya - yc) + (xb - xd) */ + s1 = s2 + t2; + /* (ya - yc) - (xb - xd) */ + s2 = s2 - t2; + + /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */ + pSrc[2U * i2] = (((int32_t) (((q63_t) r1 * co1) >> 32)) - + ((int32_t) (((q63_t) s1 * si1) >> 32))) >> 1U; + + /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */ + pSrc[(2U * i2) + 1U] = (((int32_t) (((q63_t) s1 * co1) >> 32)) + + ((int32_t) (((q63_t) r1 * si1) >> 32))) >> 1U; + + /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */ + pSrc[(2U * i3)] = (((int32_t) (((q63_t) r2 * co3) >> 32)) - + ((int32_t) (((q63_t) s2 * si3) >> 32))) >> 1U; + + /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */ + pSrc[(2U * i3) + 1U] = (((int32_t) (((q63_t) s2 * co3) >> 32)) + + ((int32_t) (((q63_t) r2 * si3) >> 32))) >> 1U; + } + } + twidCoefModifier <<= 2U; + } +#else + uint32_t n1, n2, ia1, ia2, ia3, i0, j, k; + q31_t t1, t2, r1, r2, s1, s2, co1, co2, co3, si1, si2, si3; + q31_t xa, xb, xc, xd; + q31_t ya, yb, yc, yd; + q31_t xa_out, xb_out, xc_out, xd_out; + q31_t ya_out, yb_out, yc_out, yd_out; + + q31_t *ptr1; + q31_t *pSi0; + q31_t *pSi1; + q31_t *pSi2; + q31_t *pSi3; + q63_t xaya, xbyb, xcyc, xdyd; + + /* input is be 1.31(q31) format for all FFT sizes */ + /* Total process is divided into three stages */ + /* process first stage, middle stages, & last stage */ + + /* Start of first stage process */ + + /* Initializations for the first stage */ + n2 = fftLen; + n1 = n2; + /* n2 = fftLen/4 */ + n2 >>= 2U; + + ia1 = 0U; + + j = n2; + + pSi0 = pSrc; + pSi1 = pSi0 + 2 * n2; + pSi2 = pSi1 + 2 * n2; + pSi3 = pSi2 + 2 * n2; + + do + { + /* Butterfly implementation */ + /* xa + xc */ + r1 = (pSi0[0] >> 4U) + (pSi2[0] >> 4U); + /* xa - xc */ + r2 = (pSi0[0] >> 4U) - (pSi2[0] >> 4U); + + /* xb + xd */ + t1 = (pSi1[0] >> 4U) + (pSi3[0] >> 4U); + + /* ya + yc */ + s1 = (pSi0[1] >> 4U) + (pSi2[1] >> 4U); + /* ya - yc */ + s2 = (pSi0[1] >> 4U) - (pSi2[1] >> 4U); + + /* xa' = xa + xb + xc + xd */ + *pSi0++ = (r1 + t1); + /* (xa + xc) - (xb + xd) */ + r1 = r1 - t1; + /* yb + yd */ + t2 = (pSi1[1] >> 4U) + (pSi3[1] >> 4U); + /* ya' = ya + yb + yc + yd */ + *pSi0++ = (s1 + t2); + + /* (ya + yc) - (yb + yd) */ + s1 = s1 - t2; + + /* yb - yd */ + t1 = (pSi1[1] >> 4U) - (pSi3[1] >> 4U); + /* xb - xd */ + t2 = (pSi1[0] >> 4U) - (pSi3[0] >> 4U); + + /* index calculation for the coefficients */ + ia2 = 2U * ia1; + co2 = pCoef[ia2 * 2U]; + si2 = pCoef[(ia2 * 2U) + 1U]; + + /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */ + *pSi1++ = (((int32_t) (((q63_t) r1 * co2) >> 32)) - + ((int32_t) (((q63_t) s1 * si2) >> 32))) << 1U; + + /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */ + *pSi1++ = (((int32_t) (((q63_t) s1 * co2) >> 32)) + + ((int32_t) (((q63_t) r1 * si2) >> 32))) << 1U; + + /* (xa - xc) - (yb - yd) */ + r1 = r2 - t1; + /* (xa - xc) + (yb - yd) */ + r2 = r2 + t1; + + /* (ya - yc) + (xb - xd) */ + s1 = s2 + t2; + /* (ya - yc) - (xb - xd) */ + s2 = s2 - t2; + + co1 = pCoef[ia1 * 2U]; + si1 = pCoef[(ia1 * 2U) + 1U]; + + /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */ + *pSi2++ = (((int32_t) (((q63_t) r1 * co1) >> 32)) - + ((int32_t) (((q63_t) s1 * si1) >> 32))) << 1U; + + /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */ + *pSi2++ = (((int32_t) (((q63_t) s1 * co1) >> 32)) + + ((int32_t) (((q63_t) r1 * si1) >> 32))) << 1U; + + /* index calculation for the coefficients */ + ia3 = 3U * ia1; + co3 = pCoef[ia3 * 2U]; + si3 = pCoef[(ia3 * 2U) + 1U]; + + /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */ + *pSi3++ = (((int32_t) (((q63_t) r2 * co3) >> 32)) - + ((int32_t) (((q63_t) s2 * si3) >> 32))) << 1U; + + /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */ + *pSi3++ = (((int32_t) (((q63_t) s2 * co3) >> 32)) + + ((int32_t) (((q63_t) r2 * si3) >> 32))) << 1U; + + /* Twiddle coefficients index modifier */ + ia1 = ia1 + twidCoefModifier; + + } while (--j); + + /* data is in 5.27(q27) format */ + /* each stage provides two down scaling of the input */ + + + /* Start of Middle stages process */ + + twidCoefModifier <<= 2U; + + /* Calculation of second stage to excluding last stage */ + for (k = fftLen / 4U; k > 4U; k >>= 2U) + { + /* Initializations for the first stage */ + n1 = n2; + n2 >>= 2U; + ia1 = 0U; + + for (j = 0; j <= (n2 - 1U); j++) + { + /* index calculation for the coefficients */ + ia2 = ia1 + ia1; + ia3 = ia2 + ia1; + co1 = pCoef[ia1 * 2U]; + si1 = pCoef[(ia1 * 2U) + 1U]; + co2 = pCoef[ia2 * 2U]; + si2 = pCoef[(ia2 * 2U) + 1U]; + co3 = pCoef[ia3 * 2U]; + si3 = pCoef[(ia3 * 2U) + 1U]; + /* Twiddle coefficients index modifier */ + ia1 = ia1 + twidCoefModifier; + + pSi0 = pSrc + 2 * j; + pSi1 = pSi0 + 2 * n2; + pSi2 = pSi1 + 2 * n2; + pSi3 = pSi2 + 2 * n2; + + for (i0 = j; i0 < fftLen; i0 += n1) + { + /* Butterfly implementation */ + /* xa + xc */ + r1 = pSi0[0] + pSi2[0]; + + /* xa - xc */ + r2 = pSi0[0] - pSi2[0]; + + + /* ya + yc */ + s1 = pSi0[1] + pSi2[1]; + + /* ya - yc */ + s2 = pSi0[1] - pSi2[1]; + + + /* xb + xd */ + t1 = pSi1[0] + pSi3[0]; + + + /* xa' = xa + xb + xc + xd */ + pSi0[0] = (r1 + t1) >> 2U; + /* xa + xc -(xb + xd) */ + r1 = r1 - t1; + /* yb + yd */ + t2 = pSi1[1] + pSi3[1]; + + /* ya' = ya + yb + yc + yd */ + pSi0[1] = (s1 + t2) >> 2U; + pSi0 += 2 * n1; + + /* (ya + yc) - (yb + yd) */ + s1 = s1 - t2; + + /* (yb - yd) */ + t1 = pSi1[1] - pSi3[1]; + + /* (xb - xd) */ + t2 = pSi1[0] - pSi3[0]; + + + /* xc' = (xa-xb+xc-xd)co2 - (ya-yb+yc-yd)(si2) */ + pSi1[0] = (((int32_t) (((q63_t) r1 * co2) >> 32U)) - + ((int32_t) (((q63_t) s1 * si2) >> 32U))) >> 1U; + + /* yc' = (ya-yb+yc-yd)co2 + (xa-xb+xc-xd)(si2) */ + pSi1[1] = + + (((int32_t) (((q63_t) s1 * co2) >> 32U)) + + ((int32_t) (((q63_t) r1 * si2) >> 32U))) >> 1U; + pSi1 += 2 * n1; + + /* (xa - xc) - (yb - yd) */ + r1 = r2 - t1; + /* (xa - xc) + (yb - yd) */ + r2 = r2 + t1; + + /* (ya - yc) + (xb - xd) */ + s1 = s2 + t2; + /* (ya - yc) - (xb - xd) */ + s2 = s2 - t2; + + /* xb' = (xa+yb-xc-yd)co1 - (ya-xb-yc+xd)(si1) */ + pSi2[0] = (((int32_t) (((q63_t) r1 * co1) >> 32)) - + ((int32_t) (((q63_t) s1 * si1) >> 32))) >> 1U; + + /* yb' = (ya-xb-yc+xd)co1 + (xa+yb-xc-yd)(si1) */ + pSi2[1] = (((int32_t) (((q63_t) s1 * co1) >> 32)) + + ((int32_t) (((q63_t) r1 * si1) >> 32))) >> 1U; + pSi2 += 2 * n1; + + /* xd' = (xa-yb-xc+yd)co3 - (ya+xb-yc-xd)(si3) */ + pSi3[0] = (((int32_t) (((q63_t) r2 * co3) >> 32)) - + ((int32_t) (((q63_t) s2 * si3) >> 32))) >> 1U; + + /* yd' = (ya+xb-yc-xd)co3 + (xa-yb-xc+yd)(si3) */ + pSi3[1] = (((int32_t) (((q63_t) s2 * co3) >> 32)) + + ((int32_t) (((q63_t) r2 * si3) >> 32))) >> 1U; + pSi3 += 2 * n1; + } + } + twidCoefModifier <<= 2U; + } +#endif + + /* End of Middle stages process */ + + /* data is in 11.21(q21) format for the 1024 point as there are 3 middle stages */ + /* data is in 9.23(q23) format for the 256 point as there are 2 middle stages */ + /* data is in 7.25(q25) format for the 64 point as there are 1 middle stage */ + /* data is in 5.27(q27) format for the 16 point as there are no middle stages */ + + + /* Start of last stage process */ + + + /* Initializations for the last stage */ + j = fftLen >> 2; + ptr1 = &pSrc[0]; + + /* Calculations of last stage */ + do + { +#ifndef ARM_MATH_BIG_ENDIAN + /* Read xa (real), ya(imag) input */ + xaya = *__SIMD64(ptr1)++; + xa = (q31_t) xaya; + ya = (q31_t) (xaya >> 32); + + /* Read xb (real), yb(imag) input */ + xbyb = *__SIMD64(ptr1)++; + xb = (q31_t) xbyb; + yb = (q31_t) (xbyb >> 32); + + /* Read xc (real), yc(imag) input */ + xcyc = *__SIMD64(ptr1)++; + xc = (q31_t) xcyc; + yc = (q31_t) (xcyc >> 32); + + /* Read xc (real), yc(imag) input */ + xdyd = *__SIMD64(ptr1)++; + xd = (q31_t) xdyd; + yd = (q31_t) (xdyd >> 32); + +#else + + /* Read xa (real), ya(imag) input */ + xaya = *__SIMD64(ptr1)++; + ya = (q31_t) xaya; + xa = (q31_t) (xaya >> 32); + + /* Read xb (real), yb(imag) input */ + xbyb = *__SIMD64(ptr1)++; + yb = (q31_t) xbyb; + xb = (q31_t) (xbyb >> 32); + + /* Read xc (real), yc(imag) input */ + xcyc = *__SIMD64(ptr1)++; + yc = (q31_t) xcyc; + xc = (q31_t) (xcyc >> 32); + + /* Read xc (real), yc(imag) input */ + xdyd = *__SIMD64(ptr1)++; + yd = (q31_t) xdyd; + xd = (q31_t) (xdyd >> 32); + + +#endif + + /* xa' = xa + xb + xc + xd */ + xa_out = xa + xb + xc + xd; + + /* ya' = ya + yb + yc + yd */ + ya_out = ya + yb + yc + yd; + + /* pointer updation for writing */ + ptr1 = ptr1 - 8U; + + /* writing xa' and ya' */ + *ptr1++ = xa_out; + *ptr1++ = ya_out; + + xc_out = (xa - xb + xc - xd); + yc_out = (ya - yb + yc - yd); + + /* writing xc' and yc' */ + *ptr1++ = xc_out; + *ptr1++ = yc_out; + + xb_out = (xa - yb - xc + yd); + yb_out = (ya + xb - yc - xd); + + /* writing xb' and yb' */ + *ptr1++ = xb_out; + *ptr1++ = yb_out; + + xd_out = (xa + yb - xc - yd); + yd_out = (ya - xb - yc + xd); + + /* writing xd' and yd' */ + *ptr1++ = xd_out; + *ptr1++ = yd_out; + + } while (--j); + + /* output is in 11.21(q21) format for the 1024 point */ + /* output is in 9.23(q23) format for the 256 point */ + /* output is in 7.25(q25) format for the 64 point */ + /* output is in 5.27(q27) format for the 16 point */ + + /* End of last stage process */ +} diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix8_f32.c b/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix8_f32.c new file mode 100644 index 0000000..69ed5a6 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix8_f32.c @@ -0,0 +1,285 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_cfft_radix8_f32.c + * Description: Radix-8 Decimation in Frequency CFFT & CIFFT Floating point processing function + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + + +/* ---------------------------------------------------------------------- + * Internal helper function used by the FFTs + * -------------------------------------------------------------------- */ + +/* +* @brief Core function for the floating-point CFFT butterfly process. +* @param[in, out] *pSrc points to the in-place buffer of floating-point data type. +* @param[in] fftLen length of the FFT. +* @param[in] *pCoef points to the twiddle coefficient buffer. +* @param[in] twidCoefModifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. +* @return none. +*/ + +void arm_radix8_butterfly_f32( +float32_t * pSrc, +uint16_t fftLen, +const float32_t * pCoef, +uint16_t twidCoefModifier) +{ + uint32_t ia1, ia2, ia3, ia4, ia5, ia6, ia7; + uint32_t i1, i2, i3, i4, i5, i6, i7, i8; + uint32_t id; + uint32_t n1, n2, j; + + float32_t r1, r2, r3, r4, r5, r6, r7, r8; + float32_t t1, t2; + float32_t s1, s2, s3, s4, s5, s6, s7, s8; + float32_t p1, p2, p3, p4; + float32_t co2, co3, co4, co5, co6, co7, co8; + float32_t si2, si3, si4, si5, si6, si7, si8; + const float32_t C81 = 0.70710678118f; + + n2 = fftLen; + + do + { + n1 = n2; + n2 = n2 >> 3; + i1 = 0; + + do + { + i2 = i1 + n2; + i3 = i2 + n2; + i4 = i3 + n2; + i5 = i4 + n2; + i6 = i5 + n2; + i7 = i6 + n2; + i8 = i7 + n2; + r1 = pSrc[2 * i1] + pSrc[2 * i5]; + r5 = pSrc[2 * i1] - pSrc[2 * i5]; + r2 = pSrc[2 * i2] + pSrc[2 * i6]; + r6 = pSrc[2 * i2] - pSrc[2 * i6]; + r3 = pSrc[2 * i3] + pSrc[2 * i7]; + r7 = pSrc[2 * i3] - pSrc[2 * i7]; + r4 = pSrc[2 * i4] + pSrc[2 * i8]; + r8 = pSrc[2 * i4] - pSrc[2 * i8]; + t1 = r1 - r3; + r1 = r1 + r3; + r3 = r2 - r4; + r2 = r2 + r4; + pSrc[2 * i1] = r1 + r2; + pSrc[2 * i5] = r1 - r2; + r1 = pSrc[2 * i1 + 1] + pSrc[2 * i5 + 1]; + s5 = pSrc[2 * i1 + 1] - pSrc[2 * i5 + 1]; + r2 = pSrc[2 * i2 + 1] + pSrc[2 * i6 + 1]; + s6 = pSrc[2 * i2 + 1] - pSrc[2 * i6 + 1]; + s3 = pSrc[2 * i3 + 1] + pSrc[2 * i7 + 1]; + s7 = pSrc[2 * i3 + 1] - pSrc[2 * i7 + 1]; + r4 = pSrc[2 * i4 + 1] + pSrc[2 * i8 + 1]; + s8 = pSrc[2 * i4 + 1] - pSrc[2 * i8 + 1]; + t2 = r1 - s3; + r1 = r1 + s3; + s3 = r2 - r4; + r2 = r2 + r4; + pSrc[2 * i1 + 1] = r1 + r2; + pSrc[2 * i5 + 1] = r1 - r2; + pSrc[2 * i3] = t1 + s3; + pSrc[2 * i7] = t1 - s3; + pSrc[2 * i3 + 1] = t2 - r3; + pSrc[2 * i7 + 1] = t2 + r3; + r1 = (r6 - r8) * C81; + r6 = (r6 + r8) * C81; + r2 = (s6 - s8) * C81; + s6 = (s6 + s8) * C81; + t1 = r5 - r1; + r5 = r5 + r1; + r8 = r7 - r6; + r7 = r7 + r6; + t2 = s5 - r2; + s5 = s5 + r2; + s8 = s7 - s6; + s7 = s7 + s6; + pSrc[2 * i2] = r5 + s7; + pSrc[2 * i8] = r5 - s7; + pSrc[2 * i6] = t1 + s8; + pSrc[2 * i4] = t1 - s8; + pSrc[2 * i2 + 1] = s5 - r7; + pSrc[2 * i8 + 1] = s5 + r7; + pSrc[2 * i6 + 1] = t2 - r8; + pSrc[2 * i4 + 1] = t2 + r8; + + i1 += n1; + } while (i1 < fftLen); + + if (n2 < 8) + break; + + ia1 = 0; + j = 1; + + do + { + /* index calculation for the coefficients */ + id = ia1 + twidCoefModifier; + ia1 = id; + ia2 = ia1 + id; + ia3 = ia2 + id; + ia4 = ia3 + id; + ia5 = ia4 + id; + ia6 = ia5 + id; + ia7 = ia6 + id; + + co2 = pCoef[2 * ia1]; + co3 = pCoef[2 * ia2]; + co4 = pCoef[2 * ia3]; + co5 = pCoef[2 * ia4]; + co6 = pCoef[2 * ia5]; + co7 = pCoef[2 * ia6]; + co8 = pCoef[2 * ia7]; + si2 = pCoef[2 * ia1 + 1]; + si3 = pCoef[2 * ia2 + 1]; + si4 = pCoef[2 * ia3 + 1]; + si5 = pCoef[2 * ia4 + 1]; + si6 = pCoef[2 * ia5 + 1]; + si7 = pCoef[2 * ia6 + 1]; + si8 = pCoef[2 * ia7 + 1]; + + i1 = j; + + do + { + /* index calculation for the input */ + i2 = i1 + n2; + i3 = i2 + n2; + i4 = i3 + n2; + i5 = i4 + n2; + i6 = i5 + n2; + i7 = i6 + n2; + i8 = i7 + n2; + r1 = pSrc[2 * i1] + pSrc[2 * i5]; + r5 = pSrc[2 * i1] - pSrc[2 * i5]; + r2 = pSrc[2 * i2] + pSrc[2 * i6]; + r6 = pSrc[2 * i2] - pSrc[2 * i6]; + r3 = pSrc[2 * i3] + pSrc[2 * i7]; + r7 = pSrc[2 * i3] - pSrc[2 * i7]; + r4 = pSrc[2 * i4] + pSrc[2 * i8]; + r8 = pSrc[2 * i4] - pSrc[2 * i8]; + t1 = r1 - r3; + r1 = r1 + r3; + r3 = r2 - r4; + r2 = r2 + r4; + pSrc[2 * i1] = r1 + r2; + r2 = r1 - r2; + s1 = pSrc[2 * i1 + 1] + pSrc[2 * i5 + 1]; + s5 = pSrc[2 * i1 + 1] - pSrc[2 * i5 + 1]; + s2 = pSrc[2 * i2 + 1] + pSrc[2 * i6 + 1]; + s6 = pSrc[2 * i2 + 1] - pSrc[2 * i6 + 1]; + s3 = pSrc[2 * i3 + 1] + pSrc[2 * i7 + 1]; + s7 = pSrc[2 * i3 + 1] - pSrc[2 * i7 + 1]; + s4 = pSrc[2 * i4 + 1] + pSrc[2 * i8 + 1]; + s8 = pSrc[2 * i4 + 1] - pSrc[2 * i8 + 1]; + t2 = s1 - s3; + s1 = s1 + s3; + s3 = s2 - s4; + s2 = s2 + s4; + r1 = t1 + s3; + t1 = t1 - s3; + pSrc[2 * i1 + 1] = s1 + s2; + s2 = s1 - s2; + s1 = t2 - r3; + t2 = t2 + r3; + p1 = co5 * r2; + p2 = si5 * s2; + p3 = co5 * s2; + p4 = si5 * r2; + pSrc[2 * i5] = p1 + p2; + pSrc[2 * i5 + 1] = p3 - p4; + p1 = co3 * r1; + p2 = si3 * s1; + p3 = co3 * s1; + p4 = si3 * r1; + pSrc[2 * i3] = p1 + p2; + pSrc[2 * i3 + 1] = p3 - p4; + p1 = co7 * t1; + p2 = si7 * t2; + p3 = co7 * t2; + p4 = si7 * t1; + pSrc[2 * i7] = p1 + p2; + pSrc[2 * i7 + 1] = p3 - p4; + r1 = (r6 - r8) * C81; + r6 = (r6 + r8) * C81; + s1 = (s6 - s8) * C81; + s6 = (s6 + s8) * C81; + t1 = r5 - r1; + r5 = r5 + r1; + r8 = r7 - r6; + r7 = r7 + r6; + t2 = s5 - s1; + s5 = s5 + s1; + s8 = s7 - s6; + s7 = s7 + s6; + r1 = r5 + s7; + r5 = r5 - s7; + r6 = t1 + s8; + t1 = t1 - s8; + s1 = s5 - r7; + s5 = s5 + r7; + s6 = t2 - r8; + t2 = t2 + r8; + p1 = co2 * r1; + p2 = si2 * s1; + p3 = co2 * s1; + p4 = si2 * r1; + pSrc[2 * i2] = p1 + p2; + pSrc[2 * i2 + 1] = p3 - p4; + p1 = co8 * r5; + p2 = si8 * s5; + p3 = co8 * s5; + p4 = si8 * r5; + pSrc[2 * i8] = p1 + p2; + pSrc[2 * i8 + 1] = p3 - p4; + p1 = co6 * r6; + p2 = si6 * s6; + p3 = co6 * s6; + p4 = si6 * r6; + pSrc[2 * i6] = p1 + p2; + pSrc[2 * i6 + 1] = p3 - p4; + p1 = co4 * t1; + p2 = si4 * t2; + p3 = co4 * t2; + p4 = si4 * t1; + pSrc[2 * i4] = p1 + p2; + pSrc[2 * i4 + 1] = p3 - p4; + + i1 += n1; + } while (i1 < fftLen); + + j++; + } while (j < n2); + + twidCoefModifier <<= 3; + } while (n2 > 7); +} diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_dct4_f32.c b/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_dct4_f32.c new file mode 100644 index 0000000..ccb3c52 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_dct4_f32.c @@ -0,0 +1,449 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_dct4_f32.c + * Description: Processing function of DCT4 & IDCT4 F32 + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup groupTransforms + */ + +/** + * @defgroup DCT4_IDCT4 DCT Type IV Functions + * Representation of signals by minimum number of values is important for storage and transmission. + * The possibility of large discontinuity between the beginning and end of a period of a signal + * in DFT can be avoided by extending the signal so that it is even-symmetric. + * Discrete Cosine Transform (DCT) is constructed such that its energy is heavily concentrated in the lower part of the + * spectrum and is very widely used in signal and image coding applications. + * The family of DCTs (DCT type- 1,2,3,4) is the outcome of different combinations of homogeneous boundary conditions. + * DCT has an excellent energy-packing capability, hence has many applications and in data compression in particular. + * + * DCT is essentially the Discrete Fourier Transform(DFT) of an even-extended real signal. + * Reordering of the input data makes the computation of DCT just a problem of + * computing the DFT of a real signal with a few additional operations. + * This approach provides regular, simple, and very efficient DCT algorithms for practical hardware and software implementations. + * + * DCT type-II can be implemented using Fast fourier transform (FFT) internally, as the transform is applied on real values, Real FFT can be used. + * DCT4 is implemented using DCT2 as their implementations are similar except with some added pre-processing and post-processing. + * DCT2 implementation can be described in the following steps: + * - Re-ordering input + * - Calculating Real FFT + * - Multiplication of weights and Real FFT output and getting real part from the product. + * + * This process is explained by the block diagram below: + * \image html DCT4.gif "Discrete Cosine Transform - type-IV" + * + * \par Algorithm: + * The N-point type-IV DCT is defined as a real, linear transformation by the formula: + * \image html DCT4Equation.gif + * where k = 0,1,2,.....N-1 + *\par + * Its inverse is defined as follows: + * \image html IDCT4Equation.gif + * where n = 0,1,2,.....N-1 + *\par + * The DCT4 matrices become involutory (i.e. they are self-inverse) by multiplying with an overall scale factor of sqrt(2/N). + * The symmetry of the transform matrix indicates that the fast algorithms for the forward + * and inverse transform computation are identical. + * Note that the implementation of Inverse DCT4 and DCT4 is same, hence same process function can be used for both. + * + * \par Lengths supported by the transform: + * As DCT4 internally uses Real FFT, it supports all the lengths 128, 512, 2048 and 8192. + * The library provides separate functions for Q15, Q31, and floating-point data types. + * \par Instance Structure + * The instances for Real FFT and FFT, cosine values table and twiddle factor table are stored in an instance data structure. + * A separate instance structure must be defined for each transform. + * There are separate instance structure declarations for each of the 3 supported data types. + * + * \par Initialization Functions + * There is also an associated initialization function for each data type. + * The initialization function performs the following operations: + * - Sets the values of the internal structure fields. + * - Initializes Real FFT as its process function is used internally in DCT4, by calling arm_rfft_init_f32(). + * \par + * Use of the initialization function is optional. + * However, if the initialization function is used, then the instance structure cannot be placed into a const data section. + * To place an instance structure into a const data section, the instance structure must be manually initialized. + * Manually initialize the instance structure as follows: + *
+ *arm_dct4_instance_f32 S = {N, Nby2, normalize, pTwiddle, pCosFactor, pRfft, pCfft};
+ *arm_dct4_instance_q31 S = {N, Nby2, normalize, pTwiddle, pCosFactor, pRfft, pCfft};
+ *arm_dct4_instance_q15 S = {N, Nby2, normalize, pTwiddle, pCosFactor, pRfft, pCfft};
+ * 
+ * where \c N is the length of the DCT4; \c Nby2 is half of the length of the DCT4; + * \c normalize is normalizing factor used and is equal to sqrt(2/N); + * \c pTwiddle points to the twiddle factor table; + * \c pCosFactor points to the cosFactor table; + * \c pRfft points to the real FFT instance; + * \c pCfft points to the complex FFT instance; + * The CFFT and RFFT structures also needs to be initialized, refer to arm_cfft_radix4_f32() + * and arm_rfft_f32() respectively for details regarding static initialization. + * + * \par Fixed-Point Behavior + * Care must be taken when using the fixed-point versions of the DCT4 transform functions. + * In particular, the overflow and saturation behavior of the accumulator used in each function must be considered. + * Refer to the function specific documentation below for usage guidelines. + */ + + /** + * @addtogroup DCT4_IDCT4 + * @{ + */ + +/** + * @brief Processing function for the floating-point DCT4/IDCT4. + * @param[in] *S points to an instance of the floating-point DCT4/IDCT4 structure. + * @param[in] *pState points to state buffer. + * @param[in,out] *pInlineBuffer points to the in-place input and output buffer. + * @return none. + */ + +void arm_dct4_f32( + const arm_dct4_instance_f32 * S, + float32_t * pState, + float32_t * pInlineBuffer) +{ + uint32_t i; /* Loop counter */ + float32_t *weights = S->pTwiddle; /* Pointer to the Weights table */ + float32_t *cosFact = S->pCosFactor; /* Pointer to the cos factors table */ + float32_t *pS1, *pS2, *pbuff; /* Temporary pointers for input buffer and pState buffer */ + float32_t in; /* Temporary variable */ + + + /* DCT4 computation involves DCT2 (which is calculated using RFFT) + * along with some pre-processing and post-processing. + * Computational procedure is explained as follows: + * (a) Pre-processing involves multiplying input with cos factor, + * r(n) = 2 * u(n) * cos(pi*(2*n+1)/(4*n)) + * where, + * r(n) -- output of preprocessing + * u(n) -- input to preprocessing(actual Source buffer) + * (b) Calculation of DCT2 using FFT is divided into three steps: + * Step1: Re-ordering of even and odd elements of input. + * Step2: Calculating FFT of the re-ordered input. + * Step3: Taking the real part of the product of FFT output and weights. + * (c) Post-processing - DCT4 can be obtained from DCT2 output using the following equation: + * Y4(k) = Y2(k) - Y4(k-1) and Y4(-1) = Y4(0) + * where, + * Y4 -- DCT4 output, Y2 -- DCT2 output + * (d) Multiplying the output with the normalizing factor sqrt(2/N). + */ + + /*-------- Pre-processing ------------*/ + /* Multiplying input with cos factor i.e. r(n) = 2 * x(n) * cos(pi*(2*n+1)/(4*n)) */ + arm_scale_f32(pInlineBuffer, 2.0f, pInlineBuffer, S->N); + arm_mult_f32(pInlineBuffer, cosFact, pInlineBuffer, S->N); + + /* ---------------------------------------------------------------- + * Step1: Re-ordering of even and odd elements as, + * pState[i] = pInlineBuffer[2*i] and + * pState[N-i-1] = pInlineBuffer[2*i+1] where i = 0 to N/2 + ---------------------------------------------------------------------*/ + + /* pS1 initialized to pState */ + pS1 = pState; + + /* pS2 initialized to pState+N-1, so that it points to the end of the state buffer */ + pS2 = pState + (S->N - 1U); + + /* pbuff initialized to input buffer */ + pbuff = pInlineBuffer; + +#if defined (ARM_MATH_DSP) + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + /* Initializing the loop counter to N/2 >> 2 for loop unrolling by 4 */ + i = (uint32_t) S->Nby2 >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + do + { + /* Re-ordering of even and odd elements */ + /* pState[i] = pInlineBuffer[2*i] */ + *pS1++ = *pbuff++; + /* pState[N-i-1] = pInlineBuffer[2*i+1] */ + *pS2-- = *pbuff++; + + *pS1++ = *pbuff++; + *pS2-- = *pbuff++; + + *pS1++ = *pbuff++; + *pS2-- = *pbuff++; + + *pS1++ = *pbuff++; + *pS2-- = *pbuff++; + + /* Decrement the loop counter */ + i--; + } while (i > 0U); + + /* pbuff initialized to input buffer */ + pbuff = pInlineBuffer; + + /* pS1 initialized to pState */ + pS1 = pState; + + /* Initializing the loop counter to N/4 instead of N for loop unrolling */ + i = (uint32_t) S->N >> 2U; + + /* Processing with loop unrolling 4 times as N is always multiple of 4. + * Compute 4 outputs at a time */ + do + { + /* Writing the re-ordered output back to inplace input buffer */ + *pbuff++ = *pS1++; + *pbuff++ = *pS1++; + *pbuff++ = *pS1++; + *pbuff++ = *pS1++; + + /* Decrement the loop counter */ + i--; + } while (i > 0U); + + + /* --------------------------------------------------------- + * Step2: Calculate RFFT for N-point input + * ---------------------------------------------------------- */ + /* pInlineBuffer is real input of length N , pState is the complex output of length 2N */ + arm_rfft_f32(S->pRfft, pInlineBuffer, pState); + + /*---------------------------------------------------------------------- + * Step3: Multiply the FFT output with the weights. + *----------------------------------------------------------------------*/ + arm_cmplx_mult_cmplx_f32(pState, weights, pState, S->N); + + /* ----------- Post-processing ---------- */ + /* DCT-IV can be obtained from DCT-II by the equation, + * Y4(k) = Y2(k) - Y4(k-1) and Y4(-1) = Y4(0) + * Hence, Y4(0) = Y2(0)/2 */ + /* Getting only real part from the output and Converting to DCT-IV */ + + /* Initializing the loop counter to N >> 2 for loop unrolling by 4 */ + i = ((uint32_t) S->N - 1U) >> 2U; + + /* pbuff initialized to input buffer. */ + pbuff = pInlineBuffer; + + /* pS1 initialized to pState */ + pS1 = pState; + + /* Calculating Y4(0) from Y2(0) using Y4(0) = Y2(0)/2 */ + in = *pS1++ * (float32_t) 0.5; + /* input buffer acts as inplace, so output values are stored in the input itself. */ + *pbuff++ = in; + + /* pState pointer is incremented twice as the real values are located alternatively in the array */ + pS1++; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + do + { + /* Calculating Y4(1) to Y4(N-1) from Y2 using equation Y4(k) = Y2(k) - Y4(k-1) */ + /* pState pointer (pS1) is incremented twice as the real values are located alternatively in the array */ + in = *pS1++ - in; + *pbuff++ = in; + /* points to the next real value */ + pS1++; + + in = *pS1++ - in; + *pbuff++ = in; + pS1++; + + in = *pS1++ - in; + *pbuff++ = in; + pS1++; + + in = *pS1++ - in; + *pbuff++ = in; + pS1++; + + /* Decrement the loop counter */ + i--; + } while (i > 0U); + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + i = ((uint32_t) S->N - 1U) % 0x4U; + + while (i > 0U) + { + /* Calculating Y4(1) to Y4(N-1) from Y2 using equation Y4(k) = Y2(k) - Y4(k-1) */ + /* pState pointer (pS1) is incremented twice as the real values are located alternatively in the array */ + in = *pS1++ - in; + *pbuff++ = in; + /* points to the next real value */ + pS1++; + + /* Decrement the loop counter */ + i--; + } + + + /*------------ Normalizing the output by multiplying with the normalizing factor ----------*/ + + /* Initializing the loop counter to N/4 instead of N for loop unrolling */ + i = (uint32_t) S->N >> 2U; + + /* pbuff initialized to the pInlineBuffer(now contains the output values) */ + pbuff = pInlineBuffer; + + /* Processing with loop unrolling 4 times as N is always multiple of 4. Compute 4 outputs at a time */ + do + { + /* Multiplying pInlineBuffer with the normalizing factor sqrt(2/N) */ + in = *pbuff; + *pbuff++ = in * S->normalize; + + in = *pbuff; + *pbuff++ = in * S->normalize; + + in = *pbuff; + *pbuff++ = in * S->normalize; + + in = *pbuff; + *pbuff++ = in * S->normalize; + + /* Decrement the loop counter */ + i--; + } while (i > 0U); + + +#else + + /* Run the below code for Cortex-M0 */ + + /* Initializing the loop counter to N/2 */ + i = (uint32_t) S->Nby2; + + do + { + /* Re-ordering of even and odd elements */ + /* pState[i] = pInlineBuffer[2*i] */ + *pS1++ = *pbuff++; + /* pState[N-i-1] = pInlineBuffer[2*i+1] */ + *pS2-- = *pbuff++; + + /* Decrement the loop counter */ + i--; + } while (i > 0U); + + /* pbuff initialized to input buffer */ + pbuff = pInlineBuffer; + + /* pS1 initialized to pState */ + pS1 = pState; + + /* Initializing the loop counter */ + i = (uint32_t) S->N; + + do + { + /* Writing the re-ordered output back to inplace input buffer */ + *pbuff++ = *pS1++; + + /* Decrement the loop counter */ + i--; + } while (i > 0U); + + + /* --------------------------------------------------------- + * Step2: Calculate RFFT for N-point input + * ---------------------------------------------------------- */ + /* pInlineBuffer is real input of length N , pState is the complex output of length 2N */ + arm_rfft_f32(S->pRfft, pInlineBuffer, pState); + + /*---------------------------------------------------------------------- + * Step3: Multiply the FFT output with the weights. + *----------------------------------------------------------------------*/ + arm_cmplx_mult_cmplx_f32(pState, weights, pState, S->N); + + /* ----------- Post-processing ---------- */ + /* DCT-IV can be obtained from DCT-II by the equation, + * Y4(k) = Y2(k) - Y4(k-1) and Y4(-1) = Y4(0) + * Hence, Y4(0) = Y2(0)/2 */ + /* Getting only real part from the output and Converting to DCT-IV */ + + /* pbuff initialized to input buffer. */ + pbuff = pInlineBuffer; + + /* pS1 initialized to pState */ + pS1 = pState; + + /* Calculating Y4(0) from Y2(0) using Y4(0) = Y2(0)/2 */ + in = *pS1++ * (float32_t) 0.5; + /* input buffer acts as inplace, so output values are stored in the input itself. */ + *pbuff++ = in; + + /* pState pointer is incremented twice as the real values are located alternatively in the array */ + pS1++; + + /* Initializing the loop counter */ + i = ((uint32_t) S->N - 1U); + + do + { + /* Calculating Y4(1) to Y4(N-1) from Y2 using equation Y4(k) = Y2(k) - Y4(k-1) */ + /* pState pointer (pS1) is incremented twice as the real values are located alternatively in the array */ + in = *pS1++ - in; + *pbuff++ = in; + /* points to the next real value */ + pS1++; + + + /* Decrement the loop counter */ + i--; + } while (i > 0U); + + + /*------------ Normalizing the output by multiplying with the normalizing factor ----------*/ + + /* Initializing the loop counter */ + i = (uint32_t) S->N; + + /* pbuff initialized to the pInlineBuffer(now contains the output values) */ + pbuff = pInlineBuffer; + + do + { + /* Multiplying pInlineBuffer with the normalizing factor sqrt(2/N) */ + in = *pbuff; + *pbuff++ = in * S->normalize; + + /* Decrement the loop counter */ + i--; + } while (i > 0U); + +#endif /* #if defined (ARM_MATH_DSP) */ + +} + +/** + * @} end of DCT4_IDCT4 group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_dct4_init_f32.c b/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_dct4_init_f32.c new file mode 100644 index 0000000..19b46f5 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_dct4_init_f32.c @@ -0,0 +1,16513 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_dct4_init_f32.c + * Description: Initialization function of DCT-4 & IDCT4 F32 + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup DCT4_IDCT4 + */ + +/** + * @addtogroup DCT4_IDCT4_Table DCT Type IV Tables + * @{ + */ + +/* +* @brief Weights Table +*/ + +/** + * \par + * Weights tables are generated using the formula :
weights[n] = e^(-j*n*pi/(2*N))
+ * \par + * C command to generate the table + *
+ * for(i = 0; i< N; i++)
+ * {
+ *    weights[2*i]= cos(i*c);
+ *    weights[(2*i)+1]= -sin(i * c);
+ * } 
+ * \par + * Where N is the Number of weights to be calculated and c is pi/(2*N) + * \par + * In the tables below the real and imaginary values are placed alternatively, hence the + * array length is 2*N. + */ + +static const float32_t Weights_128[256] = { + 1.000000000000000000f, 0.000000000000000000f, 0.999924701839144500f, + -0.012271538285719925f, + 0.999698818696204250f, -0.024541228522912288f, 0.999322384588349540f, + -0.036807222941358832f, + 0.998795456205172410f, -0.049067674327418015f, 0.998118112900149180f, + -0.061320736302208578f, + 0.997290456678690210f, -0.073564563599667426f, 0.996312612182778000f, + -0.085797312344439894f, + 0.995184726672196930f, -0.098017140329560604f, 0.993906970002356060f, + -0.110222207293883060f, + 0.992479534598709970f, -0.122410675199216200f, 0.990902635427780010f, + -0.134580708507126170f, + 0.989176509964781010f, -0.146730474455361750f, 0.987301418157858430f, + -0.158858143333861450f, + 0.985277642388941220f, -0.170961888760301220f, 0.983105487431216290f, + -0.183039887955140950f, + 0.980785280403230430f, -0.195090322016128250f, 0.978317370719627650f, + -0.207111376192218560f, + 0.975702130038528570f, -0.219101240156869800f, 0.972939952205560180f, + -0.231058108280671110f, + 0.970031253194543970f, -0.242980179903263870f, 0.966976471044852070f, + -0.254865659604514570f, + 0.963776065795439840f, -0.266712757474898370f, 0.960430519415565790f, + -0.278519689385053060f, + 0.956940335732208820f, -0.290284677254462330f, 0.953306040354193860f, + -0.302005949319228080f, + 0.949528180593036670f, -0.313681740398891520f, 0.945607325380521280f, + -0.325310292162262930f, + 0.941544065183020810f, -0.336889853392220050f, 0.937339011912574960f, + -0.348418680249434560f, + 0.932992798834738960f, -0.359895036534988110f, 0.928506080473215590f, + -0.371317193951837540f, + 0.923879532511286740f, -0.382683432365089780f, 0.919113851690057770f, + -0.393992040061048100f, + 0.914209755703530690f, -0.405241314004989860f, 0.909167983090522380f, + -0.416429560097637150f, + 0.903989293123443340f, -0.427555093430282080f, 0.898674465693953820f, + -0.438616238538527660f, + 0.893224301195515320f, -0.449611329654606540f, 0.887639620402853930f, + -0.460538710958240010f, + 0.881921264348355050f, -0.471396736825997640f, 0.876070094195406600f, + -0.482183772079122720f, + 0.870086991108711460f, -0.492898192229784040f, 0.863972856121586810f, + -0.503538383725717580f, + 0.857728610000272120f, -0.514102744193221660f, 0.851355193105265200f, + -0.524589682678468950f, + 0.844853565249707120f, -0.534997619887097150f, 0.838224705554838080f, + -0.545324988422046460f, + 0.831469612302545240f, -0.555570233019602180f, 0.824589302785025290f, + -0.565731810783613120f, + 0.817584813151583710f, -0.575808191417845340f, 0.810457198252594770f, + -0.585797857456438860f, + 0.803207531480644940f, -0.595699304492433360f, 0.795836904608883570f, + -0.605511041404325550f, + 0.788346427626606340f, -0.615231590580626820f, 0.780737228572094490f, + -0.624859488142386340f, + 0.773010453362736990f, -0.634393284163645490f, 0.765167265622458960f, + -0.643831542889791390f, + 0.757208846506484570f, -0.653172842953776760f, 0.749136394523459370f, + -0.662415777590171780f, + 0.740951125354959110f, -0.671558954847018330f, 0.732654271672412820f, + -0.680600997795453020f, + 0.724247082951467000f, -0.689540544737066830f, 0.715730825283818590f, + -0.698376249408972920f, + 0.707106781186547570f, -0.707106781186547460f, 0.698376249408972920f, + -0.715730825283818590f, + 0.689540544737066940f, -0.724247082951466890f, 0.680600997795453130f, + -0.732654271672412820f, + 0.671558954847018330f, -0.740951125354959110f, 0.662415777590171780f, + -0.749136394523459260f, + 0.653172842953776760f, -0.757208846506484460f, 0.643831542889791500f, + -0.765167265622458960f, + 0.634393284163645490f, -0.773010453362736990f, 0.624859488142386450f, + -0.780737228572094380f, + 0.615231590580626820f, -0.788346427626606230f, 0.605511041404325550f, + -0.795836904608883460f, + 0.595699304492433470f, -0.803207531480644830f, 0.585797857456438860f, + -0.810457198252594770f, + 0.575808191417845340f, -0.817584813151583710f, 0.565731810783613230f, + -0.824589302785025290f, + 0.555570233019602290f, -0.831469612302545240f, 0.545324988422046460f, + -0.838224705554837970f, + 0.534997619887097260f, -0.844853565249707010f, 0.524589682678468840f, + -0.851355193105265200f, + 0.514102744193221660f, -0.857728610000272120f, 0.503538383725717580f, + -0.863972856121586700f, + 0.492898192229784090f, -0.870086991108711350f, 0.482183772079122830f, + -0.876070094195406600f, + 0.471396736825997810f, -0.881921264348354940f, 0.460538710958240010f, + -0.887639620402853930f, + 0.449611329654606600f, -0.893224301195515320f, 0.438616238538527710f, + -0.898674465693953820f, + 0.427555093430282200f, -0.903989293123443340f, 0.416429560097637320f, + -0.909167983090522270f, + 0.405241314004989860f, -0.914209755703530690f, 0.393992040061048100f, + -0.919113851690057770f, + 0.382683432365089840f, -0.923879532511286740f, 0.371317193951837600f, + -0.928506080473215480f, + 0.359895036534988280f, -0.932992798834738850f, 0.348418680249434510f, + -0.937339011912574960f, + 0.336889853392220050f, -0.941544065183020810f, 0.325310292162262980f, + -0.945607325380521280f, + 0.313681740398891570f, -0.949528180593036670f, 0.302005949319228200f, + -0.953306040354193750f, + 0.290284677254462330f, -0.956940335732208940f, 0.278519689385053060f, + -0.960430519415565790f, + 0.266712757474898420f, -0.963776065795439840f, 0.254865659604514630f, + -0.966976471044852070f, + 0.242980179903263980f, -0.970031253194543970f, 0.231058108280671280f, + -0.972939952205560070f, + 0.219101240156869770f, -0.975702130038528570f, 0.207111376192218560f, + -0.978317370719627650f, + 0.195090322016128330f, -0.980785280403230430f, 0.183039887955141060f, + -0.983105487431216290f, + 0.170961888760301360f, -0.985277642388941220f, 0.158858143333861390f, + -0.987301418157858430f, + 0.146730474455361750f, -0.989176509964781010f, 0.134580708507126220f, + -0.990902635427780010f, + 0.122410675199216280f, -0.992479534598709970f, 0.110222207293883180f, + -0.993906970002356060f, + 0.098017140329560770f, -0.995184726672196820f, 0.085797312344439880f, + -0.996312612182778000f, + 0.073564563599667454f, -0.997290456678690210f, 0.061320736302208648f, + -0.998118112900149180f, + 0.049067674327418126f, -0.998795456205172410f, 0.036807222941358991f, + -0.999322384588349540f, + 0.024541228522912264f, -0.999698818696204250f, 0.012271538285719944f, + -0.999924701839144500f +}; + +static const float32_t Weights_512[1024] = { + 1.000000000000000000f, 0.000000000000000000f, 0.999995293809576190f, + -0.003067956762965976f, + 0.999981175282601110f, -0.006135884649154475f, 0.999957644551963900f, + -0.009203754782059819f, + 0.999924701839144500f, -0.012271538285719925f, 0.999882347454212560f, + -0.015339206284988100f, + 0.999830581795823400f, -0.018406729905804820f, 0.999769405351215280f, + -0.021474080275469508f, + 0.999698818696204250f, -0.024541228522912288f, 0.999618822495178640f, + -0.027608145778965740f, + 0.999529417501093140f, -0.030674803176636626f, 0.999430604555461730f, + -0.033741171851377580f, + 0.999322384588349540f, -0.036807222941358832f, 0.999204758618363890f, + -0.039872927587739811f, + 0.999077727752645360f, -0.042938256934940820f, 0.998941293186856870f, + -0.046003182130914623f, + 0.998795456205172410f, -0.049067674327418015f, 0.998640218180265270f, + -0.052131704680283324f, + 0.998475580573294770f, -0.055195244349689934f, 0.998301544933892890f, + -0.058258264500435752f, + 0.998118112900149180f, -0.061320736302208578f, 0.997925286198596000f, + -0.064382630929857465f, + 0.997723066644191640f, -0.067443919563664051f, 0.997511456140303450f, + -0.070504573389613856f, + 0.997290456678690210f, -0.073564563599667426f, 0.997060070339482960f, + -0.076623861392031492f, + 0.996820299291165670f, -0.079682437971430126f, 0.996571145790554840f, + -0.082740264549375692f, + 0.996312612182778000f, -0.085797312344439894f, 0.996044700901251970f, + -0.088853552582524600f, + 0.995767414467659820f, -0.091908956497132724f, 0.995480755491926940f, + -0.094963495329638992f, + 0.995184726672196930f, -0.098017140329560604f, 0.994879330794805620f, + -0.101069862754827820f, + 0.994564570734255420f, -0.104121633872054590f, 0.994240449453187900f, + -0.107172424956808840f, + 0.993906970002356060f, -0.110222207293883060f, 0.993564135520595300f, + -0.113270952177564350f, + 0.993211949234794500f, -0.116318630911904750f, 0.992850414459865100f, + -0.119365214810991350f, + 0.992479534598709970f, -0.122410675199216200f, 0.992099313142191800f, + -0.125454983411546230f, + 0.991709753669099530f, -0.128498110793793170f, 0.991310859846115440f, + -0.131540028702883120f, + 0.990902635427780010f, -0.134580708507126170f, 0.990485084256457090f, + -0.137620121586486040f, + 0.990058210262297120f, -0.140658239332849210f, 0.989622017463200890f, + -0.143695033150294470f, + 0.989176509964781010f, -0.146730474455361750f, 0.988721691960323780f, + -0.149764534677321510f, + 0.988257567730749460f, -0.152797185258443440f, 0.987784141644572180f, + -0.155828397654265230f, + 0.987301418157858430f, -0.158858143333861450f, 0.986809401814185530f, + -0.161886393780111830f, + 0.986308097244598670f, -0.164913120489969890f, 0.985797509167567480f, + -0.167938294974731170f, + 0.985277642388941220f, -0.170961888760301220f, 0.984748501801904210f, + -0.173983873387463820f, + 0.984210092386929030f, -0.177004220412148750f, 0.983662419211730250f, + -0.180022901405699510f, + 0.983105487431216290f, -0.183039887955140950f, 0.982539302287441240f, + -0.186055151663446630f, + 0.981963869109555240f, -0.189068664149806190f, 0.981379193313754560f, + -0.192080397049892440f, + 0.980785280403230430f, -0.195090322016128250f, 0.980182135968117430f, + -0.198098410717953560f, + 0.979569765685440520f, -0.201104634842091900f, 0.978948175319062200f, + -0.204108966092816870f, + 0.978317370719627650f, -0.207111376192218560f, 0.977677357824509930f, + -0.210111836880469610f, + 0.977028142657754390f, -0.213110319916091360f, 0.976369731330021140f, + -0.216106797076219520f, + 0.975702130038528570f, -0.219101240156869800f, 0.975025345066994120f, + -0.222093620973203510f, + 0.974339382785575860f, -0.225083911359792830f, 0.973644249650811980f, + -0.228072083170885730f, + 0.972939952205560180f, -0.231058108280671110f, 0.972226497078936270f, + -0.234041958583543430f, + 0.971503890986251780f, -0.237023605994367200f, 0.970772140728950350f, + -0.240003022448741500f, + 0.970031253194543970f, -0.242980179903263870f, 0.969281235356548530f, + -0.245955050335794590f, + 0.968522094274417380f, -0.248927605745720150f, 0.967753837093475510f, + -0.251897818154216970f, + 0.966976471044852070f, -0.254865659604514570f, 0.966190003445412500f, + -0.257831102162158990f, + 0.965394441697689400f, -0.260794117915275510f, 0.964589793289812760f, + -0.263754678974831350f, + 0.963776065795439840f, -0.266712757474898370f, 0.962953266873683880f, + -0.269668325572915090f, + 0.962121404269041580f, -0.272621355449948980f, 0.961280485811320640f, + -0.275571819310958140f, + 0.960430519415565790f, -0.278519689385053060f, 0.959571513081984520f, + -0.281464937925757940f, + 0.958703474895871600f, -0.284407537211271880f, 0.957826413027532910f, + -0.287347459544729510f, + 0.956940335732208820f, -0.290284677254462330f, 0.956045251349996410f, + -0.293219162694258630f, + 0.955141168305770780f, -0.296150888243623790f, 0.954228095109105670f, + -0.299079826308040480f, + 0.953306040354193860f, -0.302005949319228080f, 0.952375012719765880f, + -0.304929229735402370f, + 0.951435020969008340f, -0.307849640041534870f, 0.950486073949481700f, + -0.310767152749611470f, + 0.949528180593036670f, -0.313681740398891520f, 0.948561349915730270f, + -0.316593375556165850f, + 0.947585591017741090f, -0.319502030816015690f, 0.946600913083283530f, + -0.322407678801069850f, + 0.945607325380521280f, -0.325310292162262930f, 0.944604837261480260f, + -0.328209843579092500f, + 0.943593458161960390f, -0.331106305759876430f, 0.942573197601446870f, + -0.333999651442009380f, + 0.941544065183020810f, -0.336889853392220050f, 0.940506070593268300f, + -0.339776884406826850f, + 0.939459223602189920f, -0.342660717311994380f, 0.938403534063108060f, + -0.345541324963989090f, + 0.937339011912574960f, -0.348418680249434560f, 0.936265667170278260f, + -0.351292756085567090f, + 0.935183509938947610f, -0.354163525420490340f, 0.934092550404258980f, + -0.357030961233429980f, + 0.932992798834738960f, -0.359895036534988110f, 0.931884265581668150f, + -0.362755724367397230f, + 0.930766961078983710f, -0.365612997804773850f, 0.929640895843181330f, + -0.368466829953372320f, + 0.928506080473215590f, -0.371317193951837540f, 0.927362525650401110f, + -0.374164062971457930f, + 0.926210242138311380f, -0.377007410216418260f, 0.925049240782677580f, + -0.379847208924051160f, + 0.923879532511286740f, -0.382683432365089780f, 0.922701128333878630f, + -0.385516053843918850f, + 0.921514039342042010f, -0.388345046698826250f, 0.920318276709110590f, + -0.391170384302253870f, + 0.919113851690057770f, -0.393992040061048100f, 0.917900775621390500f, + -0.396809987416710310f, + 0.916679059921042700f, -0.399624199845646790f, 0.915448716088267830f, + -0.402434650859418430f, + 0.914209755703530690f, -0.405241314004989860f, 0.912962190428398210f, + -0.408044162864978690f, + 0.911706032005429880f, -0.410843171057903910f, 0.910441292258067250f, + -0.413638312238434500f, + 0.909167983090522380f, -0.416429560097637150f, 0.907886116487666260f, + -0.419216888363223910f, + 0.906595704514915330f, -0.422000270799799680f, 0.905296759318118820f, + -0.424779681209108810f, + 0.903989293123443340f, -0.427555093430282080f, 0.902673318237258830f, + -0.430326481340082610f, + 0.901348847046022030f, -0.433093818853151960f, 0.900015892016160280f, + -0.435857079922255470f, + 0.898674465693953820f, -0.438616238538527660f, 0.897324580705418320f, + -0.441371268731716670f, + 0.895966249756185220f, -0.444122144570429200f, 0.894599485631382700f, + -0.446868840162374160f, + 0.893224301195515320f, -0.449611329654606540f, 0.891840709392342720f, + -0.452349587233770890f, + 0.890448723244757880f, -0.455083587126343840f, 0.889048355854664570f, + -0.457813303598877170f, + 0.887639620402853930f, -0.460538710958240010f, 0.886222530148880640f, + -0.463259783551860150f, + 0.884797098430937790f, -0.465976495767966180f, 0.883363338665731580f, + -0.468688822035827900f, + 0.881921264348355050f, -0.471396736825997640f, 0.880470889052160750f, + -0.474100214650549970f, + 0.879012226428633530f, -0.476799230063322090f, 0.877545290207261350f, + -0.479493757660153010f, + 0.876070094195406600f, -0.482183772079122720f, 0.874586652278176110f, + -0.484869248000791060f, + 0.873094978418290090f, -0.487550160148436000f, 0.871595086655950980f, + -0.490226483288291160f, + 0.870086991108711460f, -0.492898192229784040f, 0.868570705971340900f, + -0.495565261825772540f, + 0.867046245515692650f, -0.498227666972781870f, 0.865513624090569090f, + -0.500885382611240710f, + 0.863972856121586810f, -0.503538383725717580f, 0.862423956111040610f, + -0.506186645345155230f, + 0.860866938637767310f, -0.508830142543106990f, 0.859301818357008470f, + -0.511468850437970300f, + 0.857728610000272120f, -0.514102744193221660f, 0.856147328375194470f, + -0.516731799017649870f, + 0.854557988365400530f, -0.519355990165589640f, 0.852960604930363630f, + -0.521975292937154390f, + 0.851355193105265200f, -0.524589682678468950f, 0.849741768000852550f, + -0.527199134781901280f, + 0.848120344803297230f, -0.529803624686294610f, 0.846490938774052130f, + -0.532403127877197900f, + 0.844853565249707120f, -0.534997619887097150f, 0.843208239641845440f, + -0.537587076295645390f, + 0.841554977436898440f, -0.540171472729892850f, 0.839893794195999520f, + -0.542750784864515890f, + 0.838224705554838080f, -0.545324988422046460f, 0.836547727223512010f, + -0.547894059173100190f, + 0.834862874986380010f, -0.550457972936604810f, 0.833170164701913190f, + -0.553016705580027470f, + 0.831469612302545240f, -0.555570233019602180f, 0.829761233794523050f, + -0.558118531220556100f, + 0.828045045257755800f, -0.560661576197336030f, 0.826321062845663530f, + -0.563199344013834090f, + 0.824589302785025290f, -0.565731810783613120f, 0.822849781375826430f, + -0.568258952670131490f, + 0.821102514991104650f, -0.570780745886967260f, 0.819347520076796900f, + -0.573297166698042200f, + 0.817584813151583710f, -0.575808191417845340f, 0.815814410806733780f, + -0.578313796411655590f, + 0.814036329705948410f, -0.580813958095764530f, 0.812250586585203880f, + -0.583308652937698290f, + 0.810457198252594770f, -0.585797857456438860f, 0.808656181588174980f, + -0.588281548222645220f, + 0.806847553543799330f, -0.590759701858874160f, 0.805031331142963660f, + -0.593232295039799800f, + 0.803207531480644940f, -0.595699304492433360f, 0.801376171723140240f, + -0.598160706996342270f, + 0.799537269107905010f, -0.600616479383868970f, 0.797690840943391160f, + -0.603066598540348160f, + 0.795836904608883570f, -0.605511041404325550f, 0.793975477554337170f, + -0.607949784967773630f, + 0.792106577300212390f, -0.610382806276309480f, 0.790230221437310030f, + -0.612810082429409710f, + 0.788346427626606340f, -0.615231590580626820f, 0.786455213599085770f, + -0.617647307937803870f, + 0.784556597155575240f, -0.620057211763289100f, 0.782650596166575730f, + -0.622461279374149970f, + 0.780737228572094490f, -0.624859488142386340f, 0.778816512381475980f, + -0.627251815495144080f, + 0.776888465673232440f, -0.629638238914926980f, 0.774953106594873930f, + -0.632018735939809060f, + 0.773010453362736990f, -0.634393284163645490f, 0.771060524261813820f, + -0.636761861236284200f, + 0.769103337645579700f, -0.639124444863775730f, 0.767138911935820400f, + -0.641481012808583160f, + 0.765167265622458960f, -0.643831542889791390f, 0.763188417263381270f, + -0.646176012983316280f, + 0.761202385484261780f, -0.648514401022112440f, 0.759209188978388070f, + -0.650846684996380880f, + 0.757208846506484570f, -0.653172842953776760f, 0.755201376896536550f, + -0.655492852999615350f, + 0.753186799043612520f, -0.657806693297078640f, 0.751165131909686480f, + -0.660114342067420480f, + 0.749136394523459370f, -0.662415777590171780f, 0.747100605980180130f, + -0.664710978203344790f, + 0.745057785441466060f, -0.666999922303637470f, 0.743007952135121720f, + -0.669282588346636010f, + 0.740951125354959110f, -0.671558954847018330f, 0.738887324460615110f, + -0.673829000378756040f, + 0.736816568877369900f, -0.676092703575315920f, 0.734738878095963500f, + -0.678350043129861470f, + 0.732654271672412820f, -0.680600997795453020f, 0.730562769227827590f, + -0.682845546385248080f, + 0.728464390448225200f, -0.685083667772700360f, 0.726359155084346010f, + -0.687315340891759050f, + 0.724247082951467000f, -0.689540544737066830f, 0.722128193929215350f, + -0.691759258364157750f, + 0.720002507961381650f, -0.693971460889654000f, 0.717870045055731710f, + -0.696177131491462990f, + 0.715730825283818590f, -0.698376249408972920f, 0.713584868780793640f, + -0.700568793943248340f, + 0.711432195745216430f, -0.702754744457225300f, 0.709272826438865690f, + -0.704934080375904880f, + 0.707106781186547570f, -0.707106781186547460f, 0.704934080375904990f, + -0.709272826438865580f, + 0.702754744457225300f, -0.711432195745216430f, 0.700568793943248450f, + -0.713584868780793520f, + 0.698376249408972920f, -0.715730825283818590f, 0.696177131491462990f, + -0.717870045055731710f, + 0.693971460889654000f, -0.720002507961381650f, 0.691759258364157750f, + -0.722128193929215350f, + 0.689540544737066940f, -0.724247082951466890f, 0.687315340891759160f, + -0.726359155084346010f, + 0.685083667772700360f, -0.728464390448225200f, 0.682845546385248080f, + -0.730562769227827590f, + 0.680600997795453130f, -0.732654271672412820f, 0.678350043129861580f, + -0.734738878095963390f, + 0.676092703575316030f, -0.736816568877369790f, 0.673829000378756150f, + -0.738887324460615110f, + 0.671558954847018330f, -0.740951125354959110f, 0.669282588346636010f, + -0.743007952135121720f, + 0.666999922303637470f, -0.745057785441465950f, 0.664710978203344900f, + -0.747100605980180130f, + 0.662415777590171780f, -0.749136394523459260f, 0.660114342067420480f, + -0.751165131909686370f, + 0.657806693297078640f, -0.753186799043612410f, 0.655492852999615460f, + -0.755201376896536550f, + 0.653172842953776760f, -0.757208846506484460f, 0.650846684996380990f, + -0.759209188978387960f, + 0.648514401022112550f, -0.761202385484261780f, 0.646176012983316390f, + -0.763188417263381270f, + 0.643831542889791500f, -0.765167265622458960f, 0.641481012808583160f, + -0.767138911935820400f, + 0.639124444863775730f, -0.769103337645579590f, 0.636761861236284200f, + -0.771060524261813710f, + 0.634393284163645490f, -0.773010453362736990f, 0.632018735939809060f, + -0.774953106594873820f, + 0.629638238914927100f, -0.776888465673232440f, 0.627251815495144190f, + -0.778816512381475870f, + 0.624859488142386450f, -0.780737228572094380f, 0.622461279374150080f, + -0.782650596166575730f, + 0.620057211763289210f, -0.784556597155575240f, 0.617647307937803980f, + -0.786455213599085770f, + 0.615231590580626820f, -0.788346427626606230f, 0.612810082429409710f, + -0.790230221437310030f, + 0.610382806276309480f, -0.792106577300212390f, 0.607949784967773740f, + -0.793975477554337170f, + 0.605511041404325550f, -0.795836904608883460f, 0.603066598540348280f, + -0.797690840943391040f, + 0.600616479383868970f, -0.799537269107905010f, 0.598160706996342380f, + -0.801376171723140130f, + 0.595699304492433470f, -0.803207531480644830f, 0.593232295039799800f, + -0.805031331142963660f, + 0.590759701858874280f, -0.806847553543799220f, 0.588281548222645330f, + -0.808656181588174980f, + 0.585797857456438860f, -0.810457198252594770f, 0.583308652937698290f, + -0.812250586585203880f, + 0.580813958095764530f, -0.814036329705948300f, 0.578313796411655590f, + -0.815814410806733780f, + 0.575808191417845340f, -0.817584813151583710f, 0.573297166698042320f, + -0.819347520076796900f, + 0.570780745886967370f, -0.821102514991104650f, 0.568258952670131490f, + -0.822849781375826320f, + 0.565731810783613230f, -0.824589302785025290f, 0.563199344013834090f, + -0.826321062845663420f, + 0.560661576197336030f, -0.828045045257755800f, 0.558118531220556100f, + -0.829761233794523050f, + 0.555570233019602290f, -0.831469612302545240f, 0.553016705580027580f, + -0.833170164701913190f, + 0.550457972936604810f, -0.834862874986380010f, 0.547894059173100190f, + -0.836547727223511890f, + 0.545324988422046460f, -0.838224705554837970f, 0.542750784864516000f, + -0.839893794195999410f, + 0.540171472729892970f, -0.841554977436898330f, 0.537587076295645510f, + -0.843208239641845440f, + 0.534997619887097260f, -0.844853565249707010f, 0.532403127877198010f, + -0.846490938774052020f, + 0.529803624686294830f, -0.848120344803297120f, 0.527199134781901390f, + -0.849741768000852440f, + 0.524589682678468840f, -0.851355193105265200f, 0.521975292937154390f, + -0.852960604930363630f, + 0.519355990165589530f, -0.854557988365400530f, 0.516731799017649980f, + -0.856147328375194470f, + 0.514102744193221660f, -0.857728610000272120f, 0.511468850437970520f, + -0.859301818357008360f, + 0.508830142543106990f, -0.860866938637767310f, 0.506186645345155450f, + -0.862423956111040500f, + 0.503538383725717580f, -0.863972856121586700f, 0.500885382611240940f, + -0.865513624090568980f, + 0.498227666972781870f, -0.867046245515692650f, 0.495565261825772490f, + -0.868570705971340900f, + 0.492898192229784090f, -0.870086991108711350f, 0.490226483288291100f, + -0.871595086655951090f, + 0.487550160148436050f, -0.873094978418290090f, 0.484869248000791120f, + -0.874586652278176110f, + 0.482183772079122830f, -0.876070094195406600f, 0.479493757660153010f, + -0.877545290207261240f, + 0.476799230063322250f, -0.879012226428633410f, 0.474100214650550020f, + -0.880470889052160750f, + 0.471396736825997810f, -0.881921264348354940f, 0.468688822035827960f, + -0.883363338665731580f, + 0.465976495767966130f, -0.884797098430937790f, 0.463259783551860260f, + -0.886222530148880640f, + 0.460538710958240010f, -0.887639620402853930f, 0.457813303598877290f, + -0.889048355854664570f, + 0.455083587126343840f, -0.890448723244757880f, 0.452349587233771000f, + -0.891840709392342720f, + 0.449611329654606600f, -0.893224301195515320f, 0.446868840162374330f, + -0.894599485631382580f, + 0.444122144570429260f, -0.895966249756185110f, 0.441371268731716620f, + -0.897324580705418320f, + 0.438616238538527710f, -0.898674465693953820f, 0.435857079922255470f, + -0.900015892016160280f, + 0.433093818853152010f, -0.901348847046022030f, 0.430326481340082610f, + -0.902673318237258830f, + 0.427555093430282200f, -0.903989293123443340f, 0.424779681209108810f, + -0.905296759318118820f, + 0.422000270799799790f, -0.906595704514915330f, 0.419216888363223960f, + -0.907886116487666150f, + 0.416429560097637320f, -0.909167983090522270f, 0.413638312238434560f, + -0.910441292258067140f, + 0.410843171057903910f, -0.911706032005429880f, 0.408044162864978740f, + -0.912962190428398100f, + 0.405241314004989860f, -0.914209755703530690f, 0.402434650859418540f, + -0.915448716088267830f, + 0.399624199845646790f, -0.916679059921042700f, 0.396809987416710420f, + -0.917900775621390390f, + 0.393992040061048100f, -0.919113851690057770f, 0.391170384302253980f, + -0.920318276709110480f, + 0.388345046698826300f, -0.921514039342041900f, 0.385516053843919020f, + -0.922701128333878520f, + 0.382683432365089840f, -0.923879532511286740f, 0.379847208924051110f, + -0.925049240782677580f, + 0.377007410216418310f, -0.926210242138311270f, 0.374164062971457990f, + -0.927362525650401110f, + 0.371317193951837600f, -0.928506080473215480f, 0.368466829953372320f, + -0.929640895843181330f, + 0.365612997804773960f, -0.930766961078983710f, 0.362755724367397230f, + -0.931884265581668150f, + 0.359895036534988280f, -0.932992798834738850f, 0.357030961233430030f, + -0.934092550404258870f, + 0.354163525420490510f, -0.935183509938947500f, 0.351292756085567150f, + -0.936265667170278260f, + 0.348418680249434510f, -0.937339011912574960f, 0.345541324963989150f, + -0.938403534063108060f, + 0.342660717311994380f, -0.939459223602189920f, 0.339776884406826960f, + -0.940506070593268300f, + 0.336889853392220050f, -0.941544065183020810f, 0.333999651442009490f, + -0.942573197601446870f, + 0.331106305759876430f, -0.943593458161960390f, 0.328209843579092660f, + -0.944604837261480260f, + 0.325310292162262980f, -0.945607325380521280f, 0.322407678801070020f, + -0.946600913083283530f, + 0.319502030816015750f, -0.947585591017741090f, 0.316593375556165850f, + -0.948561349915730270f, + 0.313681740398891570f, -0.949528180593036670f, 0.310767152749611470f, + -0.950486073949481700f, + 0.307849640041534980f, -0.951435020969008340f, 0.304929229735402430f, + -0.952375012719765880f, + 0.302005949319228200f, -0.953306040354193750f, 0.299079826308040480f, + -0.954228095109105670f, + 0.296150888243623960f, -0.955141168305770670f, 0.293219162694258680f, + -0.956045251349996410f, + 0.290284677254462330f, -0.956940335732208940f, 0.287347459544729570f, + -0.957826413027532910f, + 0.284407537211271820f, -0.958703474895871600f, 0.281464937925758050f, + -0.959571513081984520f, + 0.278519689385053060f, -0.960430519415565790f, 0.275571819310958250f, + -0.961280485811320640f, + 0.272621355449948980f, -0.962121404269041580f, 0.269668325572915200f, + -0.962953266873683880f, + 0.266712757474898420f, -0.963776065795439840f, 0.263754678974831510f, + -0.964589793289812650f, + 0.260794117915275570f, -0.965394441697689400f, 0.257831102162158930f, + -0.966190003445412620f, + 0.254865659604514630f, -0.966976471044852070f, 0.251897818154216910f, + -0.967753837093475510f, + 0.248927605745720260f, -0.968522094274417270f, 0.245955050335794590f, + -0.969281235356548530f, + 0.242980179903263980f, -0.970031253194543970f, 0.240003022448741500f, + -0.970772140728950350f, + 0.237023605994367340f, -0.971503890986251780f, 0.234041958583543460f, + -0.972226497078936270f, + 0.231058108280671280f, -0.972939952205560070f, 0.228072083170885790f, + -0.973644249650811870f, + 0.225083911359792780f, -0.974339382785575860f, 0.222093620973203590f, + -0.975025345066994120f, + 0.219101240156869770f, -0.975702130038528570f, 0.216106797076219600f, + -0.976369731330021140f, + 0.213110319916091360f, -0.977028142657754390f, 0.210111836880469720f, + -0.977677357824509930f, + 0.207111376192218560f, -0.978317370719627650f, 0.204108966092817010f, + -0.978948175319062200f, + 0.201104634842091960f, -0.979569765685440520f, 0.198098410717953730f, + -0.980182135968117320f, + 0.195090322016128330f, -0.980785280403230430f, 0.192080397049892380f, + -0.981379193313754560f, + 0.189068664149806280f, -0.981963869109555240f, 0.186055151663446630f, + -0.982539302287441240f, + 0.183039887955141060f, -0.983105487431216290f, 0.180022901405699510f, + -0.983662419211730250f, + 0.177004220412148860f, -0.984210092386929030f, 0.173983873387463850f, + -0.984748501801904210f, + 0.170961888760301360f, -0.985277642388941220f, 0.167938294974731230f, + -0.985797509167567370f, + 0.164913120489970090f, -0.986308097244598670f, 0.161886393780111910f, + -0.986809401814185420f, + 0.158858143333861390f, -0.987301418157858430f, 0.155828397654265320f, + -0.987784141644572180f, + 0.152797185258443410f, -0.988257567730749460f, 0.149764534677321620f, + -0.988721691960323780f, + 0.146730474455361750f, -0.989176509964781010f, 0.143695033150294580f, + -0.989622017463200780f, + 0.140658239332849240f, -0.990058210262297120f, 0.137620121586486180f, + -0.990485084256456980f, + 0.134580708507126220f, -0.990902635427780010f, 0.131540028702883280f, + -0.991310859846115440f, + 0.128498110793793220f, -0.991709753669099530f, 0.125454983411546210f, + -0.992099313142191800f, + 0.122410675199216280f, -0.992479534598709970f, 0.119365214810991350f, + -0.992850414459865100f, + 0.116318630911904880f, -0.993211949234794500f, 0.113270952177564360f, + -0.993564135520595300f, + 0.110222207293883180f, -0.993906970002356060f, 0.107172424956808870f, + -0.994240449453187900f, + 0.104121633872054730f, -0.994564570734255420f, 0.101069862754827880f, + -0.994879330794805620f, + 0.098017140329560770f, -0.995184726672196820f, 0.094963495329639061f, + -0.995480755491926940f, + 0.091908956497132696f, -0.995767414467659820f, 0.088853552582524684f, + -0.996044700901251970f, + 0.085797312344439880f, -0.996312612182778000f, 0.082740264549375803f, + -0.996571145790554840f, + 0.079682437971430126f, -0.996820299291165670f, 0.076623861392031617f, + -0.997060070339482960f, + 0.073564563599667454f, -0.997290456678690210f, 0.070504573389614009f, + -0.997511456140303450f, + 0.067443919563664106f, -0.997723066644191640f, 0.064382630929857410f, + -0.997925286198596000f, + 0.061320736302208648f, -0.998118112900149180f, 0.058258264500435732f, + -0.998301544933892890f, + 0.055195244349690031f, -0.998475580573294770f, 0.052131704680283317f, + -0.998640218180265270f, + 0.049067674327418126f, -0.998795456205172410f, 0.046003182130914644f, + -0.998941293186856870f, + 0.042938256934940959f, -0.999077727752645360f, 0.039872927587739845f, + -0.999204758618363890f, + 0.036807222941358991f, -0.999322384588349540f, 0.033741171851377642f, + -0.999430604555461730f, + 0.030674803176636581f, -0.999529417501093140f, 0.027608145778965820f, + -0.999618822495178640f, + 0.024541228522912264f, -0.999698818696204250f, 0.021474080275469605f, + -0.999769405351215280f, + 0.018406729905804820f, -0.999830581795823400f, 0.015339206284988220f, + -0.999882347454212560f, + 0.012271538285719944f, -0.999924701839144500f, 0.009203754782059960f, + -0.999957644551963900f, + 0.006135884649154515f, -0.999981175282601110f, 0.003067956762966138f, + -0.999995293809576190f +}; + +static const float32_t Weights_2048[4096] = { + 1.000000000000000000f, 0.000000000000000000f, 0.999999705862882230f, + -0.000766990318742704f, + 0.999998823451701880f, -0.001533980186284766f, 0.999997352766978210f, + -0.002300969151425805f, + 0.999995293809576190f, -0.003067956762965976f, 0.999992646580707190f, + -0.003834942569706228f, + 0.999989411081928400f, -0.004601926120448571f, 0.999985587315143200f, + -0.005368906963996343f, + 0.999981175282601110f, -0.006135884649154475f, 0.999976174986897610f, + -0.006902858724729756f, + 0.999970586430974140f, -0.007669828739531097f, 0.999964409618118280f, + -0.008436794242369799f, + 0.999957644551963900f, -0.009203754782059819f, 0.999950291236490480f, + -0.009970709907418031f, + 0.999942349676023910f, -0.010737659167264491f, 0.999933819875236000f, + -0.011504602110422714f, + 0.999924701839144500f, -0.012271538285719925f, 0.999914995573113470f, + -0.013038467241987334f, + 0.999904701082852900f, -0.013805388528060391f, 0.999893818374418490f, + -0.014572301692779064f, + 0.999882347454212560f, -0.015339206284988100f, 0.999870288328982950f, + -0.016106101853537287f, + 0.999857641005823860f, -0.016872987947281710f, 0.999844405492175240f, + -0.017639864115082053f, + 0.999830581795823400f, -0.018406729905804820f, 0.999816169924900410f, + -0.019173584868322623f, + 0.999801169887884260f, -0.019940428551514441f, 0.999785581693599210f, + -0.020707260504265895f, + 0.999769405351215280f, -0.021474080275469508f, 0.999752640870248840f, + -0.022240887414024961f, + 0.999735288260561680f, -0.023007681468839369f, 0.999717347532362190f, + -0.023774461988827555f, + 0.999698818696204250f, -0.024541228522912288f, 0.999679701762987930f, + -0.025307980620024571f, + 0.999659996743959220f, -0.026074717829103901f, 0.999639703650710200f, + -0.026841439699098531f, + 0.999618822495178640f, -0.027608145778965740f, 0.999597353289648380f, + -0.028374835617672099f, + 0.999575296046749220f, -0.029141508764193722f, 0.999552650779456990f, + -0.029908164767516555f, + 0.999529417501093140f, -0.030674803176636626f, 0.999505596225325310f, + -0.031441423540560301f, + 0.999481186966166950f, -0.032208025408304586f, 0.999456189737977340f, + -0.032974608328897335f, + 0.999430604555461730f, -0.033741171851377580f, 0.999404431433671300f, + -0.034507715524795750f, + 0.999377670388002850f, -0.035274238898213947f, 0.999350321434199440f, + -0.036040741520706229f, + 0.999322384588349540f, -0.036807222941358832f, 0.999293859866887790f, + -0.037573682709270494f, + 0.999264747286594420f, -0.038340120373552694f, 0.999235046864595850f, + -0.039106535483329888f, + 0.999204758618363890f, -0.039872927587739811f, 0.999173882565716380f, + -0.040639296235933736f, + 0.999142418724816910f, -0.041405640977076739f, 0.999110367114174890f, + -0.042171961360347947f, + 0.999077727752645360f, -0.042938256934940820f, 0.999044500659429290f, + -0.043704527250063421f, + 0.999010685854073380f, -0.044470771854938668f, 0.998976283356469820f, + -0.045236990298804590f, + 0.998941293186856870f, -0.046003182130914623f, 0.998905715365818290f, + -0.046769346900537863f, + 0.998869549914283560f, -0.047535484156959303f, 0.998832796853527990f, + -0.048301593449480144f, + 0.998795456205172410f, -0.049067674327418015f, 0.998757527991183340f, + -0.049833726340107277f, + 0.998719012233872940f, -0.050599749036899282f, 0.998679908955899090f, + -0.051365741967162593f, + 0.998640218180265270f, -0.052131704680283324f, 0.998599939930320370f, + -0.052897636725665324f, + 0.998559074229759310f, -0.053663537652730520f, 0.998517621102622210f, + -0.054429407010919133f, + 0.998475580573294770f, -0.055195244349689934f, 0.998432952666508440f, + -0.055961049218520569f, + 0.998389737407340160f, -0.056726821166907748f, 0.998345934821212370f, + -0.057492559744367566f, + 0.998301544933892890f, -0.058258264500435752f, 0.998256567771495180f, + -0.059023934984667931f, + 0.998211003360478190f, -0.059789570746639868f, 0.998164851727646240f, + -0.060555171335947788f, + 0.998118112900149180f, -0.061320736302208578f, 0.998070786905482340f, + -0.062086265195060088f, + 0.998022873771486240f, -0.062851757564161406f, 0.997974373526346990f, + -0.063617212959193106f, + 0.997925286198596000f, -0.064382630929857465f, 0.997875611817110150f, + -0.065148011025878833f, + 0.997825350411111640f, -0.065913352797003805f, 0.997774502010167820f, + -0.066678655793001557f, + 0.997723066644191640f, -0.067443919563664051f, 0.997671044343441000f, + -0.068209143658806329f, + 0.997618435138519550f, -0.068974327628266746f, 0.997565239060375750f, + -0.069739471021907307f, + 0.997511456140303450f, -0.070504573389613856f, 0.997457086409941910f, + -0.071269634281296401f, + 0.997402129901275300f, -0.072034653246889332f, 0.997346586646633230f, + -0.072799629836351673f, + 0.997290456678690210f, -0.073564563599667426f, 0.997233740030466280f, + -0.074329454086845756f, + 0.997176436735326190f, -0.075094300847921305f, 0.997118546826979980f, + -0.075859103432954447f, + 0.997060070339482960f, -0.076623861392031492f, 0.997001007307235290f, + -0.077388574275265049f, + 0.996941357764982160f, -0.078153241632794232f, 0.996881121747813850f, + -0.078917863014784942f, + 0.996820299291165670f, -0.079682437971430126f, 0.996758890430818000f, + -0.080446966052950014f, + 0.996696895202896060f, -0.081211446809592441f, 0.996634313643869900f, + -0.081975879791633066f, + 0.996571145790554840f, -0.082740264549375692f, 0.996507391680110820f, + -0.083504600633152432f, + 0.996443051350042630f, -0.084268887593324071f, 0.996378124838200210f, + -0.085033124980280275f, + 0.996312612182778000f, -0.085797312344439894f, 0.996246513422315520f, + -0.086561449236251170f, + 0.996179828595696980f, -0.087325535206192059f, 0.996112557742151130f, + -0.088089569804770507f, + 0.996044700901251970f, -0.088853552582524600f, 0.995976258112917790f, + -0.089617483090022959f, + 0.995907229417411720f, -0.090381360877864983f, 0.995837614855341610f, + -0.091145185496681005f, + 0.995767414467659820f, -0.091908956497132724f, 0.995696628295663520f, + -0.092672673429913310f, + 0.995625256380994310f, -0.093436335845747787f, 0.995553298765638470f, + -0.094199943295393204f, + 0.995480755491926940f, -0.094963495329638992f, 0.995407626602534900f, + -0.095726991499307162f, + 0.995333912140482280f, -0.096490431355252593f, 0.995259612149133390f, + -0.097253814448363271f, + 0.995184726672196930f, -0.098017140329560604f, 0.995109255753726110f, + -0.098780408549799623f, + 0.995033199438118630f, -0.099543618660069319f, 0.994956557770116380f, + -0.100306770211392860f, + 0.994879330794805620f, -0.101069862754827820f, 0.994801518557617110f, + -0.101832895841466530f, + 0.994723121104325700f, -0.102595869022436280f, 0.994644138481050710f, + -0.103358781848899610f, + 0.994564570734255420f, -0.104121633872054590f, 0.994484417910747600f, + -0.104884424643134970f, + 0.994403680057679100f, -0.105647153713410620f, 0.994322357222545810f, + -0.106409820634187680f, + 0.994240449453187900f, -0.107172424956808840f, 0.994157956797789730f, + -0.107934966232653650f, + 0.994074879304879370f, -0.108697444013138720f, 0.993991217023329380f, + -0.109459857849717980f, + 0.993906970002356060f, -0.110222207293883060f, 0.993822138291519660f, + -0.110984491897163390f, + 0.993736721940724600f, -0.111746711211126590f, 0.993650721000219120f, + -0.112508864787378690f, + 0.993564135520595300f, -0.113270952177564350f, 0.993476965552789190f, + -0.114032972933367200f, + 0.993389211148080650f, -0.114794926606510080f, 0.993300872358093280f, + -0.115556812748755260f, + 0.993211949234794500f, -0.116318630911904750f, 0.993122441830495580f, + -0.117080380647800590f, + 0.993032350197851410f, -0.117842061508324980f, 0.992941674389860470f, + -0.118603673045400720f, + 0.992850414459865100f, -0.119365214810991350f, 0.992758570461551140f, + -0.120126686357101500f, + 0.992666142448948020f, -0.120888087235777080f, 0.992573130476428810f, + -0.121649416999105530f, + 0.992479534598709970f, -0.122410675199216200f, 0.992385354870851670f, + -0.123171861388280480f, + 0.992290591348257370f, -0.123932975118512160f, 0.992195244086673920f, + -0.124694015942167640f, + 0.992099313142191800f, -0.125454983411546230f, 0.992002798571244520f, + -0.126215877078990350f, + 0.991905700430609330f, -0.126976696496885870f, 0.991808018777406430f, + -0.127737441217662310f, + 0.991709753669099530f, -0.128498110793793170f, 0.991610905163495370f, + -0.129258704777796140f, + 0.991511473318743900f, -0.130019222722233350f, 0.991411458193338540f, + -0.130779664179711710f, + 0.991310859846115440f, -0.131540028702883120f, 0.991209678336254060f, + -0.132300315844444650f, + 0.991107913723276890f, -0.133060525157139060f, 0.991005566067049370f, + -0.133820656193754720f, + 0.990902635427780010f, -0.134580708507126170f, 0.990799121866020370f, + -0.135340681650134210f, + 0.990695025442664630f, -0.136100575175706200f, 0.990590346218950150f, + -0.136860388636816380f, + 0.990485084256457090f, -0.137620121586486040f, 0.990379239617108160f, + -0.138379773577783890f, + 0.990272812363169110f, -0.139139344163826200f, 0.990165802557248400f, + -0.139898832897777210f, + 0.990058210262297120f, -0.140658239332849210f, 0.989950035541608990f, + -0.141417563022303020f, + 0.989841278458820530f, -0.142176803519448030f, 0.989731939077910570f, + -0.142935960377642670f, + 0.989622017463200890f, -0.143695033150294470f, 0.989511513679355190f, + -0.144454021390860470f, + 0.989400427791380380f, -0.145212924652847460f, 0.989288759864625170f, + -0.145971742489812210f, + 0.989176509964781010f, -0.146730474455361750f, 0.989063678157881540f, + -0.147489120103153570f, + 0.988950264510302990f, -0.148247678986896030f, 0.988836269088763540f, + -0.149006150660348450f, + 0.988721691960323780f, -0.149764534677321510f, 0.988606533192386450f, + -0.150522830591677400f, + 0.988490792852696590f, -0.151281037957330220f, 0.988374471009341280f, + -0.152039156328246050f, + 0.988257567730749460f, -0.152797185258443440f, 0.988140083085692570f, + -0.153555124301993450f, + 0.988022017143283530f, -0.154312973013020100f, 0.987903369972977790f, + -0.155070730945700510f, + 0.987784141644572180f, -0.155828397654265230f, 0.987664332228205710f, + -0.156585972692998430f, + 0.987543941794359230f, -0.157343455616238250f, 0.987422970413855410f, + -0.158100845978376980f, + 0.987301418157858430f, -0.158858143333861450f, 0.987179285097874340f, + -0.159615347237193060f, + 0.987056571305750970f, -0.160372457242928280f, 0.986933276853677710f, + -0.161129472905678810f, + 0.986809401814185530f, -0.161886393780111830f, 0.986684946260146690f, + -0.162643219420950310f, + 0.986559910264775410f, -0.163399949382973230f, 0.986434293901627180f, + -0.164156583221015810f, + 0.986308097244598670f, -0.164913120489969890f, 0.986181320367928270f, + -0.165669560744784120f, + 0.986053963346195440f, -0.166425903540464100f, 0.985926026254321130f, + -0.167182148432072940f, + 0.985797509167567480f, -0.167938294974731170f, 0.985668412161537550f, + -0.168694342723617330f, + 0.985538735312176060f, -0.169450291233967960f, 0.985408478695768420f, + -0.170206140061078070f, + 0.985277642388941220f, -0.170961888760301220f, 0.985146226468662230f, + -0.171717536887049970f, + 0.985014231012239840f, -0.172473083996795950f, 0.984881656097323700f, + -0.173228529645070320f, + 0.984748501801904210f, -0.173983873387463820f, 0.984614768204312600f, + -0.174739114779627200f, + 0.984480455383220930f, -0.175494253377271430f, 0.984345563417641900f, + -0.176249288736167880f, + 0.984210092386929030f, -0.177004220412148750f, 0.984074042370776450f, + -0.177759047961107170f, + 0.983937413449218920f, -0.178513770938997510f, 0.983800205702631600f, + -0.179268388901835750f, + 0.983662419211730250f, -0.180022901405699510f, 0.983524054057571260f, + -0.180777308006728590f, + 0.983385110321551180f, -0.181531608261124970f, 0.983245588085407070f, + -0.182285801725153300f, + 0.983105487431216290f, -0.183039887955140950f, 0.982964808441396440f, + -0.183793866507478450f, + 0.982823551198705240f, -0.184547736938619620f, 0.982681715786240860f, + -0.185301498805081900f, + 0.982539302287441240f, -0.186055151663446630f, 0.982396310786084690f, + -0.186808695070359270f, + 0.982252741366289370f, -0.187562128582529600f, 0.982108594112513610f, + -0.188315451756732120f, + 0.981963869109555240f, -0.189068664149806190f, 0.981818566442552500f, + -0.189821765318656410f, + 0.981672686196983110f, -0.190574754820252740f, 0.981526228458664770f, + -0.191327632211630900f, + 0.981379193313754560f, -0.192080397049892440f, 0.981231580848749730f, + -0.192833048892205230f, + 0.981083391150486710f, -0.193585587295803610f, 0.980934624306141640f, + -0.194338011817988600f, + 0.980785280403230430f, -0.195090322016128250f, 0.980635359529608120f, + -0.195842517447657850f, + 0.980484861773469380f, -0.196594597670080220f, 0.980333787223347960f, + -0.197346562240965920f, + 0.980182135968117430f, -0.198098410717953560f, 0.980029908096990090f, + -0.198850142658750090f, + 0.979877103699517640f, -0.199601757621130970f, 0.979723722865591170f, + -0.200353255162940450f, + 0.979569765685440520f, -0.201104634842091900f, 0.979415232249634780f, + -0.201855896216568050f, + 0.979260122649082020f, -0.202607038844421130f, 0.979104436975029250f, + -0.203358062283773320f, + 0.978948175319062200f, -0.204108966092816870f, 0.978791337773105670f, + -0.204859749829814420f, + 0.978633924429423210f, -0.205610413053099240f, 0.978475935380616830f, + -0.206360955321075510f, + 0.978317370719627650f, -0.207111376192218560f, 0.978158230539735050f, + -0.207861675225075070f, + 0.977998514934557140f, -0.208611851978263490f, 0.977838223998050430f, + -0.209361906010474160f, + 0.977677357824509930f, -0.210111836880469610f, 0.977515916508569280f, + -0.210861644147084860f, + 0.977353900145199960f, -0.211611327369227550f, 0.977191308829712280f, + -0.212360886105878420f, + 0.977028142657754390f, -0.213110319916091360f, 0.976864401725312640f, + -0.213859628358993750f, + 0.976700086128711840f, -0.214608810993786760f, 0.976535195964614470f, + -0.215357867379745550f, + 0.976369731330021140f, -0.216106797076219520f, 0.976203692322270560f, + -0.216855599642632620f, + 0.976037079039039020f, -0.217604274638483640f, 0.975869891578341030f, + -0.218352821623346320f, + 0.975702130038528570f, -0.219101240156869800f, 0.975533794518291360f, + -0.219849529798778700f, + 0.975364885116656980f, -0.220597690108873510f, 0.975195401932990370f, + -0.221345720647030810f, + 0.975025345066994120f, -0.222093620973203510f, 0.974854714618708430f, + -0.222841390647421120f, + 0.974683510688510670f, -0.223589029229789990f, 0.974511733377115720f, + -0.224336536280493600f, + 0.974339382785575860f, -0.225083911359792830f, 0.974166459015280320f, + -0.225831154028026170f, + 0.973992962167955830f, -0.226578263845610000f, 0.973818892345666100f, + -0.227325240373038860f, + 0.973644249650811980f, -0.228072083170885730f, 0.973469034186131070f, + -0.228818791799802220f, + 0.973293246054698250f, -0.229565365820518870f, 0.973116885359925130f, + -0.230311804793845440f, + 0.972939952205560180f, -0.231058108280671110f, 0.972762446695688570f, + -0.231804275841964780f, + 0.972584368934732210f, -0.232550307038775240f, 0.972405719027449770f, + -0.233296201432231590f, + 0.972226497078936270f, -0.234041958583543430f, 0.972046703194623500f, + -0.234787578054000970f, + 0.971866337480279400f, -0.235533059404975490f, 0.971685400042008540f, + -0.236278402197919570f, + 0.971503890986251780f, -0.237023605994367200f, 0.971321810419786160f, + -0.237768670355934190f, + 0.971139158449725090f, -0.238513594844318420f, 0.970955935183517970f, + -0.239258379021299980f, + 0.970772140728950350f, -0.240003022448741500f, 0.970587775194143630f, + -0.240747524688588430f, + 0.970402838687555500f, -0.241491885302869330f, 0.970217331317979160f, + -0.242236103853696010f, + 0.970031253194543970f, -0.242980179903263870f, 0.969844604426714830f, + -0.243724113013852160f, + 0.969657385124292450f, -0.244467902747824150f, 0.969469595397413060f, + -0.245211548667627540f, + 0.969281235356548530f, -0.245955050335794590f, 0.969092305112506210f, + -0.246698407314942410f, + 0.968902804776428870f, -0.247441619167773270f, 0.968712734459794780f, + -0.248184685457074780f, + 0.968522094274417380f, -0.248927605745720150f, 0.968330884332445190f, + -0.249670379596668570f, + 0.968139104746362440f, -0.250413006572965220f, 0.967946755628987800f, + -0.251155486237741920f, + 0.967753837093475510f, -0.251897818154216970f, 0.967560349253314360f, + -0.252640001885695520f, + 0.967366292222328510f, -0.253382036995570160f, 0.967171666114676640f, + -0.254123923047320620f, + 0.966976471044852070f, -0.254865659604514570f, 0.966780707127683270f, + -0.255607246230807380f, + 0.966584374478333120f, -0.256348682489942910f, 0.966387473212298900f, + -0.257089967945753120f, + 0.966190003445412500f, -0.257831102162158990f, 0.965991965293840570f, + -0.258572084703170340f, + 0.965793358874083680f, -0.259312915132886230f, 0.965594184302976830f, + -0.260053593015495190f, + 0.965394441697689400f, -0.260794117915275510f, 0.965194131175724720f, + -0.261534489396595520f, + 0.964993252854920320f, -0.262274707023913590f, 0.964791806853447900f, + -0.263014770361779000f, + 0.964589793289812760f, -0.263754678974831350f, 0.964387212282854290f, + -0.264494432427801630f, + 0.964184063951745830f, -0.265234030285511790f, 0.963980348415994110f, + -0.265973472112875590f, + 0.963776065795439840f, -0.266712757474898370f, 0.963571216210257320f, + -0.267451885936677620f, + 0.963365799780954050f, -0.268190857063403180f, 0.963159816628371360f, + -0.268929670420357260f, + 0.962953266873683880f, -0.269668325572915090f, 0.962746150638399410f, + -0.270406822086544820f, + 0.962538468044359160f, -0.271145159526808010f, 0.962330219213737400f, + -0.271883337459359720f, + 0.962121404269041580f, -0.272621355449948980f, 0.961912023333112210f, + -0.273359213064418680f, + 0.961702076529122540f, -0.274096909868706380f, 0.961491563980579000f, + -0.274834445428843940f, + 0.961280485811320640f, -0.275571819310958140f, 0.961068842145519350f, + -0.276309031081271080f, + 0.960856633107679660f, -0.277046080306099900f, 0.960643858822638590f, + -0.277782966551857690f, + 0.960430519415565790f, -0.278519689385053060f, 0.960216615011963430f, + -0.279256248372291180f, + 0.960002145737665960f, -0.279992643080273220f, 0.959787111718839900f, + -0.280728873075797190f, + 0.959571513081984520f, -0.281464937925757940f, 0.959355349953930790f, + -0.282200837197147560f, + 0.959138622461841890f, -0.282936570457055390f, 0.958921330733213170f, + -0.283672137272668430f, + 0.958703474895871600f, -0.284407537211271880f, 0.958485055077976100f, + -0.285142769840248670f, + 0.958266071408017670f, -0.285877834727080620f, 0.958046524014818600f, + -0.286612731439347790f, + 0.957826413027532910f, -0.287347459544729510f, 0.957605738575646350f, + -0.288082018611004130f, + 0.957384500788975860f, -0.288816408206049480f, 0.957162699797670210f, + -0.289550627897843030f, + 0.956940335732208820f, -0.290284677254462330f, 0.956717408723403050f, + -0.291018555844085090f, + 0.956493918902395100f, -0.291752263234989260f, 0.956269866400658030f, + -0.292485798995553880f, + 0.956045251349996410f, -0.293219162694258630f, 0.955820073882545420f, + -0.293952353899684660f, + 0.955594334130771110f, -0.294685372180514330f, 0.955368032227470350f, + -0.295418217105532010f, + 0.955141168305770780f, -0.296150888243623790f, 0.954913742499130520f, + -0.296883385163778270f, + 0.954685754941338340f, -0.297615707435086200f, 0.954457205766513490f, + -0.298347854626741400f, + 0.954228095109105670f, -0.299079826308040480f, 0.953998423103894490f, + -0.299811622048383350f, + 0.953768189885990330f, -0.300543241417273450f, 0.953537395590833280f, + -0.301274683984317950f, + 0.953306040354193860f, -0.302005949319228080f, 0.953074124312172200f, + -0.302737036991819140f, + 0.952841647601198720f, -0.303467946572011320f, 0.952608610358033350f, + -0.304198677629829110f, + 0.952375012719765880f, -0.304929229735402370f, 0.952140854823815830f, + -0.305659602458966120f, + 0.951906136807932350f, -0.306389795370860920f, 0.951670858810193860f, + -0.307119808041533100f, + 0.951435020969008340f, -0.307849640041534870f, 0.951198623423113230f, + -0.308579290941525090f, + 0.950961666311575080f, -0.309308760312268730f, 0.950724149773789610f, + -0.310038047724637890f, + 0.950486073949481700f, -0.310767152749611470f, 0.950247438978705230f, + -0.311496074958275910f, + 0.950008245001843000f, -0.312224813921824880f, 0.949768492159606680f, + -0.312953369211560200f, + 0.949528180593036670f, -0.313681740398891520f, 0.949287310443502120f, + -0.314409927055336660f, + 0.949045881852700560f, -0.315137928752522440f, 0.948803894962658490f, + -0.315865745062183960f, + 0.948561349915730270f, -0.316593375556165850f, 0.948318246854599090f, + -0.317320819806421740f, + 0.948074585922276230f, -0.318048077385014950f, 0.947830367262101010f, + -0.318775147864118480f, + 0.947585591017741090f, -0.319502030816015690f, 0.947340257333192050f, + -0.320228725813099860f, + 0.947094366352777220f, -0.320955232427875210f, 0.946847918221148000f, + -0.321681550232956580f, + 0.946600913083283530f, -0.322407678801069850f, 0.946353351084490590f, + -0.323133617705052330f, + 0.946105232370403450f, -0.323859366517852850f, 0.945856557086983910f, + -0.324584924812532150f, + 0.945607325380521280f, -0.325310292162262930f, 0.945357537397632290f, + -0.326035468140330240f, + 0.945107193285260610f, -0.326760452320131730f, 0.944856293190677210f, + -0.327485244275178000f, + 0.944604837261480260f, -0.328209843579092500f, 0.944352825645594750f, + -0.328934249805612200f, + 0.944100258491272660f, -0.329658462528587490f, 0.943847135947092690f, + -0.330382481321982780f, + 0.943593458161960390f, -0.331106305759876430f, 0.943339225285107720f, + -0.331829935416461110f, + 0.943084437466093490f, -0.332553369866044220f, 0.942829094854802710f, + -0.333276608683047930f, + 0.942573197601446870f, -0.333999651442009380f, 0.942316745856563780f, + -0.334722497717581220f, + 0.942059739771017310f, -0.335445147084531600f, 0.941802179495997650f, + -0.336167599117744520f, + 0.941544065183020810f, -0.336889853392220050f, 0.941285396983928660f, + -0.337611909483074620f, + 0.941026175050889260f, -0.338333766965541130f, 0.940766399536396070f, + -0.339055425414969640f, + 0.940506070593268300f, -0.339776884406826850f, 0.940245188374650880f, + -0.340498143516697160f, + 0.939983753034014050f, -0.341219202320282360f, 0.939721764725153340f, + -0.341940060393402190f, + 0.939459223602189920f, -0.342660717311994380f, 0.939196129819569900f, + -0.343381172652115040f, + 0.938932483532064600f, -0.344101425989938810f, 0.938668284894770170f, + -0.344821476901759290f, + 0.938403534063108060f, -0.345541324963989090f, 0.938138231192824360f, + -0.346260969753160010f, + 0.937872376439989890f, -0.346980410845923680f, 0.937605969960999990f, + -0.347699647819051380f, + 0.937339011912574960f, -0.348418680249434560f, 0.937071502451759190f, + -0.349137507714084970f, + 0.936803441735921560f, -0.349856129790134920f, 0.936534829922755500f, + -0.350574546054837510f, + 0.936265667170278260f, -0.351292756085567090f, 0.935995953636831410f, + -0.352010759459819080f, + 0.935725689481080370f, -0.352728555755210730f, 0.935454874862014620f, + -0.353446144549480810f, + 0.935183509938947610f, -0.354163525420490340f, 0.934911594871516090f, + -0.354880697946222790f, + 0.934639129819680780f, -0.355597661704783850f, 0.934366114943725790f, + -0.356314416274402410f, + 0.934092550404258980f, -0.357030961233429980f, 0.933818436362210960f, + -0.357747296160341900f, + 0.933543772978836170f, -0.358463420633736540f, 0.933268560415712050f, + -0.359179334232336500f, + 0.932992798834738960f, -0.359895036534988110f, 0.932716488398140250f, + -0.360610527120662270f, + 0.932439629268462360f, -0.361325805568454280f, 0.932162221608574430f, + -0.362040871457584180f, + 0.931884265581668150f, -0.362755724367397230f, 0.931605761351257830f, + -0.363470363877363760f, + 0.931326709081180430f, -0.364184789567079890f, 0.931047108935595280f, + -0.364899001016267320f, + 0.930766961078983710f, -0.365612997804773850f, 0.930486265676149780f, + -0.366326779512573590f, + 0.930205022892219070f, -0.367040345719767180f, 0.929923232892639670f, + -0.367753696006581980f, + 0.929640895843181330f, -0.368466829953372320f, 0.929358011909935500f, + -0.369179747140620020f, + 0.929074581259315860f, -0.369892447148934100f, 0.928790604058057020f, + -0.370604929559051670f, + 0.928506080473215590f, -0.371317193951837540f, 0.928221010672169440f, + -0.372029239908285010f, + 0.927935394822617890f, -0.372741067009515760f, 0.927649233092581180f, + -0.373452674836780300f, + 0.927362525650401110f, -0.374164062971457930f, 0.927075272664740100f, + -0.374875230995057540f, + 0.926787474304581750f, -0.375586178489217220f, 0.926499130739230510f, + -0.376296905035704790f, + 0.926210242138311380f, -0.377007410216418260f, 0.925920808671770070f, + -0.377717693613385640f, + 0.925630830509872720f, -0.378427754808765560f, 0.925340307823206310f, + -0.379137593384847320f, + 0.925049240782677580f, -0.379847208924051160f, 0.924757629559513910f, + -0.380556601008928520f, + 0.924465474325262600f, -0.381265769222162380f, 0.924172775251791200f, + -0.381974713146567220f, + 0.923879532511286740f, -0.382683432365089780f, 0.923585746276256670f, + -0.383391926460808660f, + 0.923291416719527640f, -0.384100195016935040f, 0.922996544014246250f, + -0.384808237616812880f, + 0.922701128333878630f, -0.385516053843918850f, 0.922405169852209880f, + -0.386223643281862980f, + 0.922108668743345180f, -0.386931005514388580f, 0.921811625181708120f, + -0.387638140125372730f, + 0.921514039342042010f, -0.388345046698826250f, 0.921215911399408730f, + -0.389051724818894380f, + 0.920917241529189520f, -0.389758174069856410f, 0.920618029907083970f, + -0.390464394036126590f, + 0.920318276709110590f, -0.391170384302253870f, 0.920017982111606570f, + -0.391876144452922350f, + 0.919717146291227360f, -0.392581674072951470f, 0.919415769424947070f, + -0.393286972747296400f, + 0.919113851690057770f, -0.393992040061048100f, 0.918811393264170050f, + -0.394696875599433560f, + 0.918508394325212250f, -0.395401478947816350f, 0.918204855051430900f, + -0.396105849691696270f, + 0.917900775621390500f, -0.396809987416710310f, 0.917596156213972950f, + -0.397513891708632330f, + 0.917290997008377910f, -0.398217562153373560f, 0.916985298184123000f, + -0.398920998336982910f, + 0.916679059921042700f, -0.399624199845646790f, 0.916372282399289140f, + -0.400327166265690090f, + 0.916064965799331720f, -0.401029897183575620f, 0.915757110301956720f, + -0.401732392185905010f, + 0.915448716088267830f, -0.402434650859418430f, 0.915139783339685260f, + -0.403136672790995300f, + 0.914830312237946200f, -0.403838457567654070f, 0.914520302965104450f, + -0.404540004776553000f, + 0.914209755703530690f, -0.405241314004989860f, 0.913898670635911680f, + -0.405942384840402510f, + 0.913587047945250810f, -0.406643216870369030f, 0.913274887814867760f, + -0.407343809682607970f, + 0.912962190428398210f, -0.408044162864978690f, 0.912648955969793900f, + -0.408744276005481360f, + 0.912335184623322750f, -0.409444148692257590f, 0.912020876573568340f, + -0.410143780513590240f, + 0.911706032005429880f, -0.410843171057903910f, 0.911390651104122430f, + -0.411542319913765220f, + 0.911074734055176360f, -0.412241226669882890f, 0.910758281044437570f, + -0.412939890915108080f, + 0.910441292258067250f, -0.413638312238434500f, 0.910123767882541680f, + -0.414336490228999100f, + 0.909805708104652220f, -0.415034424476081630f, 0.909487113111505430f, + -0.415732114569105360f, + 0.909167983090522380f, -0.416429560097637150f, 0.908848318229439120f, + -0.417126760651387870f, + 0.908528118716306120f, -0.417823715820212270f, 0.908207384739488700f, + -0.418520425194109700f, + 0.907886116487666260f, -0.419216888363223910f, 0.907564314149832630f, + -0.419913104917843620f, + 0.907241977915295820f, -0.420609074448402510f, 0.906919107973678140f, + -0.421304796545479640f, + 0.906595704514915330f, -0.422000270799799680f, 0.906271767729257660f, + -0.422695496802232950f, + 0.905947297807268460f, -0.423390474143796050f, 0.905622294939825270f, + -0.424085202415651560f, + 0.905296759318118820f, -0.424779681209108810f, 0.904970691133653250f, + -0.425473910115623800f, + 0.904644090578246240f, -0.426167888726799620f, 0.904316957844028320f, + -0.426861616634386430f, + 0.903989293123443340f, -0.427555093430282080f, 0.903661096609247980f, + -0.428248318706531960f, + 0.903332368494511820f, -0.428941292055329490f, 0.903003108972617150f, + -0.429634013069016380f, + 0.902673318237258830f, -0.430326481340082610f, 0.902342996482444200f, + -0.431018696461167030f, + 0.902012143902493180f, -0.431710658025057260f, 0.901680760692037730f, + -0.432402365624690140f, + 0.901348847046022030f, -0.433093818853151960f, 0.901016403159702330f, + -0.433785017303678520f, + 0.900683429228646970f, -0.434475960569655650f, 0.900349925448735600f, + -0.435166648244619260f, + 0.900015892016160280f, -0.435857079922255470f, 0.899681329127423930f, + -0.436547255196401200f, + 0.899346236979341570f, -0.437237173661044090f, 0.899010615769039070f, + -0.437926834910322860f, + 0.898674465693953820f, -0.438616238538527660f, 0.898337786951834310f, + -0.439305384140099950f, + 0.898000579740739880f, -0.439994271309633260f, 0.897662844259040860f, + -0.440682899641872900f, + 0.897324580705418320f, -0.441371268731716670f, 0.896985789278863970f, + -0.442059378174214700f, + 0.896646470178680150f, -0.442747227564570020f, 0.896306623604479550f, + -0.443434816498138480f, + 0.895966249756185220f, -0.444122144570429200f, 0.895625348834030110f, + -0.444809211377104880f, + 0.895283921038557580f, -0.445496016513981740f, 0.894941966570620750f, + -0.446182559577030070f, + 0.894599485631382700f, -0.446868840162374160f, 0.894256478422316040f, + -0.447554857866293010f, + 0.893912945145203250f, -0.448240612285219890f, 0.893568886002135910f, + -0.448926103015743260f, + 0.893224301195515320f, -0.449611329654606540f, 0.892879190928051680f, + -0.450296291798708610f, + 0.892533555402764580f, -0.450980989045103860f, 0.892187394822982480f, + -0.451665420991002490f, + 0.891840709392342720f, -0.452349587233770890f, 0.891493499314791380f, + -0.453033487370931580f, + 0.891145764794583180f, -0.453717121000163870f, 0.890797506036281490f, + -0.454400487719303580f, + 0.890448723244757880f, -0.455083587126343840f, 0.890099416625192320f, + -0.455766418819434640f, + 0.889749586383072780f, -0.456448982396883920f, 0.889399232724195520f, + -0.457131277457156980f, + 0.889048355854664570f, -0.457813303598877170f, 0.888696955980891600f, + -0.458495060420826270f, + 0.888345033309596350f, -0.459176547521944090f, 0.887992588047805560f, + -0.459857764501329540f, + 0.887639620402853930f, -0.460538710958240010f, 0.887286130582383150f, + -0.461219386492092380f, + 0.886932118794342190f, -0.461899790702462730f, 0.886577585246987040f, + -0.462579923189086810f, + 0.886222530148880640f, -0.463259783551860150f, 0.885866953708892790f, + -0.463939371390838520f, + 0.885510856136199950f, -0.464618686306237820f, 0.885154237640285110f, + -0.465297727898434600f, + 0.884797098430937790f, -0.465976495767966180f, 0.884439438718253810f, + -0.466654989515530920f, + 0.884081258712634990f, -0.467333208741988420f, 0.883722558624789660f, + -0.468011153048359830f, + 0.883363338665731580f, -0.468688822035827900f, 0.883003599046780830f, + -0.469366215305737520f, + 0.882643339979562790f, -0.470043332459595620f, 0.882282561676008710f, + -0.470720173099071600f, + 0.881921264348355050f, -0.471396736825997640f, 0.881559448209143780f, + -0.472073023242368660f, + 0.881197113471222090f, -0.472749031950342790f, 0.880834260347742040f, + -0.473424762552241530f, + 0.880470889052160750f, -0.474100214650549970f, 0.880106999798240360f, + -0.474775387847917120f, + 0.879742592800047410f, -0.475450281747155870f, 0.879377668271953290f, + -0.476124895951243580f, + 0.879012226428633530f, -0.476799230063322090f, 0.878646267485068130f, + -0.477473283686698060f, + 0.878279791656541580f, -0.478147056424843010f, 0.877912799158641840f, + -0.478820547881393890f, + 0.877545290207261350f, -0.479493757660153010f, 0.877177265018595940f, + -0.480166685365088390f, + 0.876808723809145650f, -0.480839330600333960f, 0.876439666795713610f, + -0.481511692970189860f, + 0.876070094195406600f, -0.482183772079122720f, 0.875700006225634600f, + -0.482855567531765670f, + 0.875329403104110890f, -0.483527078932918740f, 0.874958285048851650f, + -0.484198305887549030f, + 0.874586652278176110f, -0.484869248000791060f, 0.874214505010706300f, + -0.485539904877946960f, + 0.873841843465366860f, -0.486210276124486420f, 0.873468667861384880f, + -0.486880361346047340f, + 0.873094978418290090f, -0.487550160148436000f, 0.872720775355914300f, + -0.488219672137626790f, + 0.872346058894391540f, -0.488888896919763170f, 0.871970829254157810f, + -0.489557834101157440f, + 0.871595086655950980f, -0.490226483288291160f, 0.871218831320811020f, + -0.490894844087815090f, + 0.870842063470078980f, -0.491562916106549900f, 0.870464783325397670f, + -0.492230698951486020f, + 0.870086991108711460f, -0.492898192229784040f, 0.869708687042265670f, + -0.493565395548774770f, + 0.869329871348606840f, -0.494232308515959670f, 0.868950544250582380f, + -0.494898930739011260f, + 0.868570705971340900f, -0.495565261825772540f, 0.868190356734331310f, + -0.496231301384258250f, + 0.867809496763303320f, -0.496897049022654470f, 0.867428126282306920f, + -0.497562504349319150f, + 0.867046245515692650f, -0.498227666972781870f, 0.866663854688111130f, + -0.498892536501744590f, + 0.866280954024512990f, -0.499557112545081840f, 0.865897543750148820f, + -0.500221394711840680f, + 0.865513624090569090f, -0.500885382611240710f, 0.865129195271623800f, + -0.501549075852675390f, + 0.864744257519462380f, -0.502212474045710790f, 0.864358811060534030f, + -0.502875576800086990f, + 0.863972856121586810f, -0.503538383725717580f, 0.863586392929668100f, + -0.504200894432690340f, + 0.863199421712124160f, -0.504863108531267590f, 0.862811942696600330f, + -0.505525025631885390f, + 0.862423956111040610f, -0.506186645345155230f, 0.862035462183687210f, + -0.506847967281863210f, + 0.861646461143081300f, -0.507508991052970870f, 0.861256953218062170f, + -0.508169716269614600f, + 0.860866938637767310f, -0.508830142543106990f, 0.860476417631632070f, + -0.509490269484936360f, + 0.860085390429390140f, -0.510150096706766810f, 0.859693857261072610f, + -0.510809623820439040f, + 0.859301818357008470f, -0.511468850437970300f, 0.858909273947823900f, + -0.512127776171554690f, + 0.858516224264442740f, -0.512786400633562960f, 0.858122669538086140f, + -0.513444723436543460f, + 0.857728610000272120f, -0.514102744193221660f, 0.857334045882815590f, + -0.514760462516501200f, + 0.856938977417828760f, -0.515417878019462930f, 0.856543404837719960f, + -0.516074990315366630f, + 0.856147328375194470f, -0.516731799017649870f, 0.855750748263253920f, + -0.517388303739929060f, + 0.855353664735196030f, -0.518044504095999340f, 0.854956078024614930f, + -0.518700399699834950f, + 0.854557988365400530f, -0.519355990165589640f, 0.854159395991738850f, + -0.520011275107596040f, + 0.853760301138111410f, -0.520666254140367160f, 0.853360704039295430f, + -0.521320926878595660f, + 0.852960604930363630f, -0.521975292937154390f, 0.852560004046684080f, + -0.522629351931096610f, + 0.852158901623919830f, -0.523283103475656430f, 0.851757297898029120f, + -0.523936547186248600f, + 0.851355193105265200f, -0.524589682678468950f, 0.850952587482175730f, + -0.525242509568094710f, + 0.850549481265603480f, -0.525895027471084630f, 0.850145874692685210f, + -0.526547236003579440f, + 0.849741768000852550f, -0.527199134781901280f, 0.849337161427830780f, + -0.527850723422555230f, + 0.848932055211639610f, -0.528502001542228480f, 0.848526449590592650f, + -0.529152968757790610f, + 0.848120344803297230f, -0.529803624686294610f, 0.847713741088654380f, + -0.530453968944976320f, + 0.847306638685858320f, -0.531104001151255000f, 0.846899037834397240f, + -0.531753720922733320f, + 0.846490938774052130f, -0.532403127877197900f, 0.846082341744897050f, + -0.533052221632619450f, + 0.845673246987299070f, -0.533701001807152960f, 0.845263654741918220f, + -0.534349468019137520f, + 0.844853565249707120f, -0.534997619887097150f, 0.844442978751910660f, + -0.535645457029741090f, + 0.844031895490066410f, -0.536292979065963180f, 0.843620315706004150f, + -0.536940185614842910f, + 0.843208239641845440f, -0.537587076295645390f, 0.842795667540004120f, + -0.538233650727821700f, + 0.842382599643185850f, -0.538879908531008420f, 0.841969036194387680f, + -0.539525849325028890f, + 0.841554977436898440f, -0.540171472729892850f, 0.841140423614298080f, + -0.540816778365796670f, + 0.840725374970458070f, -0.541461765853123440f, 0.840309831749540770f, + -0.542106434812443920f, + 0.839893794195999520f, -0.542750784864515890f, 0.839477262554578550f, + -0.543394815630284800f, + 0.839060237070312740f, -0.544038526730883820f, 0.838642717988527300f, + -0.544681917787634530f, + 0.838224705554838080f, -0.545324988422046460f, 0.837806200015150940f, + -0.545967738255817570f, + 0.837387201615661940f, -0.546610166910834860f, 0.836967710602857020f, + -0.547252274009174090f, + 0.836547727223512010f, -0.547894059173100190f, 0.836127251724692270f, + -0.548535522025067390f, + 0.835706284353752600f, -0.549176662187719660f, 0.835284825358337370f, + -0.549817479283890910f, + 0.834862874986380010f, -0.550457972936604810f, 0.834440433486103190f, + -0.551098142769075430f, + 0.834017501106018130f, -0.551737988404707340f, 0.833594078094925140f, + -0.552377509467096070f, + 0.833170164701913190f, -0.553016705580027470f, 0.832745761176359460f, + -0.553655576367479310f, + 0.832320867767929680f, -0.554294121453620000f, 0.831895484726577590f, + -0.554932340462810370f, + 0.831469612302545240f, -0.555570233019602180f, 0.831043250746362320f, + -0.556207798748739930f, + 0.830616400308846310f, -0.556845037275160100f, 0.830189061241102370f, + -0.557481948223991550f, + 0.829761233794523050f, -0.558118531220556100f, 0.829332918220788250f, + -0.558754785890368310f, + 0.828904114771864870f, -0.559390711859136140f, 0.828474823700007130f, + -0.560026308752760380f, + 0.828045045257755800f, -0.560661576197336030f, 0.827614779697938400f, + -0.561296513819151470f, + 0.827184027273669130f, -0.561931121244689470f, 0.826752788238348520f, + -0.562565398100626560f, + 0.826321062845663530f, -0.563199344013834090f, 0.825888851349586780f, + -0.563832958611378170f, + 0.825456154004377550f, -0.564466241520519500f, 0.825022971064580220f, + -0.565099192368713980f, + 0.824589302785025290f, -0.565731810783613120f, 0.824155149420828570f, + -0.566364096393063840f, + 0.823720511227391430f, -0.566996048825108680f, 0.823285388460400110f, + -0.567627667707986230f, + 0.822849781375826430f, -0.568258952670131490f, 0.822413690229926390f, + -0.568889903340175860f, + 0.821977115279241550f, -0.569520519346947140f, 0.821540056780597610f, + -0.570150800319470300f, + 0.821102514991104650f, -0.570780745886967260f, 0.820664490168157460f, + -0.571410355678857230f, + 0.820225982569434690f, -0.572039629324757050f, 0.819786992452898990f, + -0.572668566454481160f, + 0.819347520076796900f, -0.573297166698042200f, 0.818907565699658950f, + -0.573925429685650750f, + 0.818467129580298660f, -0.574553355047715760f, 0.818026211977813440f, + -0.575180942414845080f, + 0.817584813151583710f, -0.575808191417845340f, 0.817142933361272970f, + -0.576435101687721830f, + 0.816700572866827850f, -0.577061672855679440f, 0.816257731928477390f, + -0.577687904553122800f, + 0.815814410806733780f, -0.578313796411655590f, 0.815370609762391290f, + -0.578939348063081780f, + 0.814926329056526620f, -0.579564559139405630f, 0.814481568950498610f, + -0.580189429272831680f, + 0.814036329705948410f, -0.580813958095764530f, 0.813590611584798510f, + -0.581438145240810170f, + 0.813144414849253590f, -0.582061990340775440f, 0.812697739761799490f, + -0.582685493028668460f, + 0.812250586585203880f, -0.583308652937698290f, 0.811802955582515470f, + -0.583931469701276180f, + 0.811354847017063730f, -0.584553942953015330f, 0.810906261152459670f, + -0.585176072326730410f, + 0.810457198252594770f, -0.585797857456438860f, 0.810007658581641140f, + -0.586419297976360500f, + 0.809557642404051260f, -0.587040393520917970f, 0.809107149984558240f, + -0.587661143724736660f, + 0.808656181588174980f, -0.588281548222645220f, 0.808204737480194720f, + -0.588901606649675720f, + 0.807752817926190360f, -0.589521318641063940f, 0.807300423192014450f, + -0.590140683832248820f, + 0.806847553543799330f, -0.590759701858874160f, 0.806394209247956240f, + -0.591378372356787580f, + 0.805940390571176280f, -0.591996694962040990f, 0.805486097780429230f, + -0.592614669310891130f, + 0.805031331142963660f, -0.593232295039799800f, 0.804576090926307110f, + -0.593849571785433630f, + 0.804120377398265810f, -0.594466499184664430f, 0.803664190826924090f, + -0.595083076874569960f, + 0.803207531480644940f, -0.595699304492433360f, 0.802750399628069160f, + -0.596315181675743710f, + 0.802292795538115720f, -0.596930708062196500f, 0.801834719479981310f, + -0.597545883289693160f, + 0.801376171723140240f, -0.598160706996342270f, 0.800917152537344300f, + -0.598775178820458720f, + 0.800457662192622820f, -0.599389298400564540f, 0.799997700959281910f, + -0.600003065375388940f, + 0.799537269107905010f, -0.600616479383868970f, 0.799076366909352350f, + -0.601229540065148500f, + 0.798614994634760820f, -0.601842247058580030f, 0.798153152555543750f, + -0.602454600003723750f, + 0.797690840943391160f, -0.603066598540348160f, 0.797228060070268810f, + -0.603678242308430370f, + 0.796764810208418830f, -0.604289530948155960f, 0.796301091630359110f, + -0.604900464099919820f, + 0.795836904608883570f, -0.605511041404325550f, 0.795372249417061310f, + -0.606121262502186120f, + 0.794907126328237010f, -0.606731127034524480f, 0.794441535616030590f, + -0.607340634642572930f, + 0.793975477554337170f, -0.607949784967773630f, 0.793508952417326660f, + -0.608558577651779450f, + 0.793041960479443640f, -0.609167012336453210f, 0.792574502015407690f, + -0.609775088663868430f, + 0.792106577300212390f, -0.610382806276309480f, 0.791638186609125880f, + -0.610990164816271660f, + 0.791169330217690200f, -0.611597163926461910f, 0.790700008401721610f, + -0.612203803249797950f, + 0.790230221437310030f, -0.612810082429409710f, 0.789759969600819070f, + -0.613416001108638590f, + 0.789289253168885650f, -0.614021558931038380f, 0.788818072418420280f, + -0.614626755540375050f, + 0.788346427626606340f, -0.615231590580626820f, 0.787874319070900220f, + -0.615836063695985090f, + 0.787401747029031430f, -0.616440174530853650f, 0.786928711779001810f, + -0.617043922729849760f, + 0.786455213599085770f, -0.617647307937803870f, 0.785981252767830150f, + -0.618250329799760250f, + 0.785506829564053930f, -0.618852987960976320f, 0.785031944266848080f, + -0.619455282066924020f, + 0.784556597155575240f, -0.620057211763289100f, 0.784080788509869950f, + -0.620658776695972140f, + 0.783604518609638200f, -0.621259976511087550f, 0.783127787735057310f, + -0.621860810854965360f, + 0.782650596166575730f, -0.622461279374149970f, 0.782172944184913010f, + -0.623061381715401260f, + 0.781694832071059390f, -0.623661117525694530f, 0.781216260106276090f, + -0.624260486452220650f, + 0.780737228572094490f, -0.624859488142386340f, 0.780257737750316590f, + -0.625458122243814360f, + 0.779777787923014550f, -0.626056388404343520f, 0.779297379372530300f, + -0.626654286272029350f, + 0.778816512381475980f, -0.627251815495144080f, 0.778335187232733210f, + -0.627848975722176460f, + 0.777853404209453150f, -0.628445766601832710f, 0.777371163595056310f, + -0.629042187783036000f, + 0.776888465673232440f, -0.629638238914926980f, 0.776405310727940390f, + -0.630233919646864370f, + 0.775921699043407690f, -0.630829229628424470f, 0.775437630904130540f, + -0.631424168509401860f, + 0.774953106594873930f, -0.632018735939809060f, 0.774468126400670860f, + -0.632612931569877410f, + 0.773982690606822900f, -0.633206755050057190f, 0.773496799498899050f, + -0.633800206031017280f, + 0.773010453362736990f, -0.634393284163645490f, 0.772523652484441330f, + -0.634985989099049460f, + 0.772036397150384520f, -0.635578320488556110f, 0.771548687647206300f, + -0.636170277983712170f, + 0.771060524261813820f, -0.636761861236284200f, 0.770571907281380810f, + -0.637353069898259130f, + 0.770082836993347900f, -0.637943903621844060f, 0.769593313685422940f, + -0.638534362059466790f, + 0.769103337645579700f, -0.639124444863775730f, 0.768612909162058380f, + -0.639714151687640450f, + 0.768122028523365420f, -0.640303482184151670f, 0.767630696018273380f, + -0.640892436006621380f, + 0.767138911935820400f, -0.641481012808583160f, 0.766646676565310380f, + -0.642069212243792540f, + 0.766153990196312920f, -0.642657033966226860f, 0.765660853118662500f, + -0.643244477630085850f, + 0.765167265622458960f, -0.643831542889791390f, 0.764673227998067140f, + -0.644418229399988380f, + 0.764178740536116670f, -0.645004536815543930f, 0.763683803527501870f, + -0.645590464791548690f, + 0.763188417263381270f, -0.646176012983316280f, 0.762692582035177980f, + -0.646761181046383920f, + 0.762196298134578900f, -0.647345968636512060f, 0.761699565853535380f, + -0.647930375409685340f, + 0.761202385484261780f, -0.648514401022112440f, 0.760704757319236920f, + -0.649098045130225950f, + 0.760206681651202420f, -0.649681307390683190f, 0.759708158773163440f, + -0.650264187460365850f, + 0.759209188978388070f, -0.650846684996380880f, 0.758709772560407390f, + -0.651428799656059820f, + 0.758209909813015280f, -0.652010531096959500f, 0.757709601030268080f, + -0.652591878976862440f, + 0.757208846506484570f, -0.653172842953776760f, 0.756707646536245670f, + -0.653753422685936060f, + 0.756206001414394540f, -0.654333617831800440f, 0.755703911436035880f, + -0.654913428050056030f, + 0.755201376896536550f, -0.655492852999615350f, 0.754698398091524500f, + -0.656071892339617600f, + 0.754194975316889170f, -0.656650545729428940f, 0.753691108868781210f, + -0.657228812828642540f, + 0.753186799043612520f, -0.657806693297078640f, 0.752682046138055340f, + -0.658384186794785050f, + 0.752176850449042810f, -0.658961292982037320f, 0.751671212273768430f, + -0.659538011519338660f, + 0.751165131909686480f, -0.660114342067420480f, 0.750658609654510700f, + -0.660690284287242300f, + 0.750151645806215070f, -0.661265837839992270f, 0.749644240663033480f, + -0.661841002387086870f, + 0.749136394523459370f, -0.662415777590171780f, 0.748628107686245440f, + -0.662990163111121470f, + 0.748119380450403600f, -0.663564158612039770f, 0.747610213115205150f, + -0.664137763755260010f, + 0.747100605980180130f, -0.664710978203344790f, 0.746590559345117310f, + -0.665283801619087180f, + 0.746080073510063780f, -0.665856233665509720f, 0.745569148775325430f, + -0.666428274005865240f, + 0.745057785441466060f, -0.666999922303637470f, 0.744545983809307370f, + -0.667571178222540310f, + 0.744033744179929290f, -0.668142041426518450f, 0.743521066854669120f, + -0.668712511579747980f, + 0.743007952135121720f, -0.669282588346636010f, 0.742494400323139180f, + -0.669852271391821020f, + 0.741980411720831070f, -0.670421560380173090f, 0.741465986630563290f, + -0.670990454976794220f, + 0.740951125354959110f, -0.671558954847018330f, 0.740435828196898020f, + -0.672127059656411730f, + 0.739920095459516200f, -0.672694769070772860f, 0.739403927446205760f, + -0.673262082756132970f, + 0.738887324460615110f, -0.673829000378756040f, 0.738370286806648620f, + -0.674395521605139050f, + 0.737852814788465980f, -0.674961646102011930f, 0.737334908710482910f, + -0.675527373536338520f, + 0.736816568877369900f, -0.676092703575315920f, 0.736297795594053170f, + -0.676657635886374950f, + 0.735778589165713590f, -0.677222170137180330f, 0.735258949897786840f, + -0.677786305995631500f, + 0.734738878095963500f, -0.678350043129861470f, 0.734218374066188280f, + -0.678913381208238410f, + 0.733697438114660370f, -0.679476319899364970f, 0.733176070547832740f, + -0.680038858872078930f, + 0.732654271672412820f, -0.680600997795453020f, 0.732132041795361290f, + -0.681162736338795430f, + 0.731609381223892630f, -0.681724074171649710f, 0.731086290265474340f, + -0.682285010963795570f, + 0.730562769227827590f, -0.682845546385248080f, 0.730038818418926260f, + -0.683405680106258680f, + 0.729514438146997010f, -0.683965411797315400f, 0.728989628720519420f, + -0.684524741129142300f, + 0.728464390448225200f, -0.685083667772700360f, 0.727938723639098620f, + -0.685642191399187470f, + 0.727412628602375770f, -0.686200311680038590f, 0.726886105647544970f, + -0.686758028286925890f, + 0.726359155084346010f, -0.687315340891759050f, 0.725831777222770370f, + -0.687872249166685550f, + 0.725303972373060770f, -0.688428752784090440f, 0.724775740845711280f, + -0.688984851416597040f, + 0.724247082951467000f, -0.689540544737066830f, 0.723717999001323500f, + -0.690095832418599950f, + 0.723188489306527460f, -0.690650714134534600f, 0.722658554178575610f, + -0.691205189558448450f, + 0.722128193929215350f, -0.691759258364157750f, 0.721597408870443770f, + -0.692312920225718220f, + 0.721066199314508110f, -0.692866174817424630f, 0.720534565573905270f, + -0.693419021813811760f, + 0.720002507961381650f, -0.693971460889654000f, 0.719470026789932990f, + -0.694523491719965520f, + 0.718937122372804490f, -0.695075113980000880f, 0.718403795023489830f, + -0.695626327345254870f, + 0.717870045055731710f, -0.696177131491462990f, 0.717335872783521730f, + -0.696727526094601200f, + 0.716801278521099540f, -0.697277510830886520f, 0.716266262582953120f, + -0.697827085376777290f, + 0.715730825283818590f, -0.698376249408972920f, 0.715194966938680120f, + -0.698925002604414150f, + 0.714658687862769090f, -0.699473344640283770f, 0.714121988371564820f, + -0.700021275194006250f, + 0.713584868780793640f, -0.700568793943248340f, 0.713047329406429340f, + -0.701115900565918660f, + 0.712509370564692320f, -0.701662594740168450f, 0.711970992572050100f, + -0.702208876144391870f, + 0.711432195745216430f, -0.702754744457225300f, 0.710892980401151680f, + -0.703300199357548730f, + 0.710353346857062420f, -0.703845240524484940f, 0.709813295430400840f, + -0.704389867637400410f, + 0.709272826438865690f, -0.704934080375904880f, 0.708731940200400650f, + -0.705477878419852100f, + 0.708190637033195400f, -0.706021261449339740f, 0.707648917255684350f, + -0.706564229144709510f, + 0.707106781186547570f, -0.707106781186547460f, 0.706564229144709620f, + -0.707648917255684350f, + 0.706021261449339740f, -0.708190637033195290f, 0.705477878419852210f, + -0.708731940200400650f, + 0.704934080375904990f, -0.709272826438865580f, 0.704389867637400410f, + -0.709813295430400840f, + 0.703845240524484940f, -0.710353346857062310f, 0.703300199357548730f, + -0.710892980401151680f, + 0.702754744457225300f, -0.711432195745216430f, 0.702208876144391870f, + -0.711970992572049990f, + 0.701662594740168570f, -0.712509370564692320f, 0.701115900565918660f, + -0.713047329406429230f, + 0.700568793943248450f, -0.713584868780793520f, 0.700021275194006360f, + -0.714121988371564710f, + 0.699473344640283770f, -0.714658687862768980f, 0.698925002604414150f, + -0.715194966938680010f, + 0.698376249408972920f, -0.715730825283818590f, 0.697827085376777290f, + -0.716266262582953120f, + 0.697277510830886630f, -0.716801278521099540f, 0.696727526094601200f, + -0.717335872783521730f, + 0.696177131491462990f, -0.717870045055731710f, 0.695626327345254870f, + -0.718403795023489720f, + 0.695075113980000880f, -0.718937122372804380f, 0.694523491719965520f, + -0.719470026789932990f, + 0.693971460889654000f, -0.720002507961381650f, 0.693419021813811880f, + -0.720534565573905270f, + 0.692866174817424740f, -0.721066199314508110f, 0.692312920225718220f, + -0.721597408870443660f, + 0.691759258364157750f, -0.722128193929215350f, 0.691205189558448450f, + -0.722658554178575610f, + 0.690650714134534720f, -0.723188489306527350f, 0.690095832418599950f, + -0.723717999001323390f, + 0.689540544737066940f, -0.724247082951466890f, 0.688984851416597150f, + -0.724775740845711280f, + 0.688428752784090550f, -0.725303972373060660f, 0.687872249166685550f, + -0.725831777222770370f, + 0.687315340891759160f, -0.726359155084346010f, 0.686758028286925890f, + -0.726886105647544970f, + 0.686200311680038700f, -0.727412628602375770f, 0.685642191399187470f, + -0.727938723639098620f, + 0.685083667772700360f, -0.728464390448225200f, 0.684524741129142300f, + -0.728989628720519310f, + 0.683965411797315510f, -0.729514438146996900f, 0.683405680106258790f, + -0.730038818418926150f, + 0.682845546385248080f, -0.730562769227827590f, 0.682285010963795570f, + -0.731086290265474230f, + 0.681724074171649820f, -0.731609381223892520f, 0.681162736338795430f, + -0.732132041795361290f, + 0.680600997795453130f, -0.732654271672412820f, 0.680038858872079040f, + -0.733176070547832740f, + 0.679476319899365080f, -0.733697438114660260f, 0.678913381208238410f, + -0.734218374066188170f, + 0.678350043129861580f, -0.734738878095963390f, 0.677786305995631500f, + -0.735258949897786730f, + 0.677222170137180450f, -0.735778589165713480f, 0.676657635886374950f, + -0.736297795594053060f, + 0.676092703575316030f, -0.736816568877369790f, 0.675527373536338630f, + -0.737334908710482790f, + 0.674961646102012040f, -0.737852814788465980f, 0.674395521605139050f, + -0.738370286806648510f, + 0.673829000378756150f, -0.738887324460615110f, 0.673262082756132970f, + -0.739403927446205760f, + 0.672694769070772970f, -0.739920095459516090f, 0.672127059656411840f, + -0.740435828196898020f, + 0.671558954847018330f, -0.740951125354959110f, 0.670990454976794220f, + -0.741465986630563290f, + 0.670421560380173090f, -0.741980411720830960f, 0.669852271391821130f, + -0.742494400323139180f, + 0.669282588346636010f, -0.743007952135121720f, 0.668712511579748090f, + -0.743521066854669120f, + 0.668142041426518560f, -0.744033744179929180f, 0.667571178222540310f, + -0.744545983809307250f, + 0.666999922303637470f, -0.745057785441465950f, 0.666428274005865350f, + -0.745569148775325430f, + 0.665856233665509720f, -0.746080073510063780f, 0.665283801619087180f, + -0.746590559345117310f, + 0.664710978203344900f, -0.747100605980180130f, 0.664137763755260010f, + -0.747610213115205150f, + 0.663564158612039880f, -0.748119380450403490f, 0.662990163111121470f, + -0.748628107686245330f, + 0.662415777590171780f, -0.749136394523459260f, 0.661841002387086870f, + -0.749644240663033480f, + 0.661265837839992270f, -0.750151645806214960f, 0.660690284287242300f, + -0.750658609654510590f, + 0.660114342067420480f, -0.751165131909686370f, 0.659538011519338770f, + -0.751671212273768430f, + 0.658961292982037320f, -0.752176850449042700f, 0.658384186794785050f, + -0.752682046138055230f, + 0.657806693297078640f, -0.753186799043612410f, 0.657228812828642650f, + -0.753691108868781210f, + 0.656650545729429050f, -0.754194975316889170f, 0.656071892339617710f, + -0.754698398091524390f, + 0.655492852999615460f, -0.755201376896536550f, 0.654913428050056150f, + -0.755703911436035880f, + 0.654333617831800550f, -0.756206001414394540f, 0.653753422685936170f, + -0.756707646536245670f, + 0.653172842953776760f, -0.757208846506484460f, 0.652591878976862550f, + -0.757709601030268080f, + 0.652010531096959500f, -0.758209909813015280f, 0.651428799656059820f, + -0.758709772560407390f, + 0.650846684996380990f, -0.759209188978387960f, 0.650264187460365960f, + -0.759708158773163440f, + 0.649681307390683190f, -0.760206681651202420f, 0.649098045130226060f, + -0.760704757319236920f, + 0.648514401022112550f, -0.761202385484261780f, 0.647930375409685460f, + -0.761699565853535270f, + 0.647345968636512060f, -0.762196298134578900f, 0.646761181046383920f, + -0.762692582035177870f, + 0.646176012983316390f, -0.763188417263381270f, 0.645590464791548800f, + -0.763683803527501870f, + 0.645004536815544040f, -0.764178740536116670f, 0.644418229399988380f, + -0.764673227998067140f, + 0.643831542889791500f, -0.765167265622458960f, 0.643244477630085850f, + -0.765660853118662390f, + 0.642657033966226860f, -0.766153990196312810f, 0.642069212243792540f, + -0.766646676565310380f, + 0.641481012808583160f, -0.767138911935820400f, 0.640892436006621380f, + -0.767630696018273270f, + 0.640303482184151670f, -0.768122028523365310f, 0.639714151687640450f, + -0.768612909162058270f, + 0.639124444863775730f, -0.769103337645579590f, 0.638534362059466790f, + -0.769593313685422940f, + 0.637943903621844170f, -0.770082836993347900f, 0.637353069898259130f, + -0.770571907281380700f, + 0.636761861236284200f, -0.771060524261813710f, 0.636170277983712170f, + -0.771548687647206300f, + 0.635578320488556230f, -0.772036397150384410f, 0.634985989099049460f, + -0.772523652484441330f, + 0.634393284163645490f, -0.773010453362736990f, 0.633800206031017280f, + -0.773496799498899050f, + 0.633206755050057190f, -0.773982690606822790f, 0.632612931569877520f, + -0.774468126400670860f, + 0.632018735939809060f, -0.774953106594873820f, 0.631424168509401860f, + -0.775437630904130430f, + 0.630829229628424470f, -0.775921699043407580f, 0.630233919646864480f, + -0.776405310727940390f, + 0.629638238914927100f, -0.776888465673232440f, 0.629042187783036000f, + -0.777371163595056200f, + 0.628445766601832710f, -0.777853404209453040f, 0.627848975722176570f, + -0.778335187232733090f, + 0.627251815495144190f, -0.778816512381475870f, 0.626654286272029460f, + -0.779297379372530300f, + 0.626056388404343520f, -0.779777787923014440f, 0.625458122243814360f, + -0.780257737750316590f, + 0.624859488142386450f, -0.780737228572094380f, 0.624260486452220650f, + -0.781216260106276090f, + 0.623661117525694640f, -0.781694832071059390f, 0.623061381715401370f, + -0.782172944184912900f, + 0.622461279374150080f, -0.782650596166575730f, 0.621860810854965360f, + -0.783127787735057310f, + 0.621259976511087660f, -0.783604518609638200f, 0.620658776695972140f, + -0.784080788509869950f, + 0.620057211763289210f, -0.784556597155575240f, 0.619455282066924020f, + -0.785031944266848080f, + 0.618852987960976320f, -0.785506829564053930f, 0.618250329799760250f, + -0.785981252767830150f, + 0.617647307937803980f, -0.786455213599085770f, 0.617043922729849760f, + -0.786928711779001700f, + 0.616440174530853650f, -0.787401747029031320f, 0.615836063695985090f, + -0.787874319070900110f, + 0.615231590580626820f, -0.788346427626606230f, 0.614626755540375050f, + -0.788818072418420170f, + 0.614021558931038490f, -0.789289253168885650f, 0.613416001108638590f, + -0.789759969600819070f, + 0.612810082429409710f, -0.790230221437310030f, 0.612203803249798060f, + -0.790700008401721610f, + 0.611597163926462020f, -0.791169330217690090f, 0.610990164816271770f, + -0.791638186609125770f, + 0.610382806276309480f, -0.792106577300212390f, 0.609775088663868430f, + -0.792574502015407580f, + 0.609167012336453210f, -0.793041960479443640f, 0.608558577651779450f, + -0.793508952417326660f, + 0.607949784967773740f, -0.793975477554337170f, 0.607340634642572930f, + -0.794441535616030590f, + 0.606731127034524480f, -0.794907126328237010f, 0.606121262502186230f, + -0.795372249417061190f, + 0.605511041404325550f, -0.795836904608883460f, 0.604900464099919930f, + -0.796301091630359110f, + 0.604289530948156070f, -0.796764810208418720f, 0.603678242308430370f, + -0.797228060070268700f, + 0.603066598540348280f, -0.797690840943391040f, 0.602454600003723860f, + -0.798153152555543750f, + 0.601842247058580030f, -0.798614994634760820f, 0.601229540065148620f, + -0.799076366909352350f, + 0.600616479383868970f, -0.799537269107905010f, 0.600003065375389060f, + -0.799997700959281910f, + 0.599389298400564540f, -0.800457662192622710f, 0.598775178820458720f, + -0.800917152537344300f, + 0.598160706996342380f, -0.801376171723140130f, 0.597545883289693270f, + -0.801834719479981310f, + 0.596930708062196500f, -0.802292795538115720f, 0.596315181675743820f, + -0.802750399628069160f, + 0.595699304492433470f, -0.803207531480644830f, 0.595083076874569960f, + -0.803664190826924090f, + 0.594466499184664540f, -0.804120377398265700f, 0.593849571785433630f, + -0.804576090926307000f, + 0.593232295039799800f, -0.805031331142963660f, 0.592614669310891130f, + -0.805486097780429120f, + 0.591996694962040990f, -0.805940390571176280f, 0.591378372356787580f, + -0.806394209247956240f, + 0.590759701858874280f, -0.806847553543799220f, 0.590140683832248940f, + -0.807300423192014450f, + 0.589521318641063940f, -0.807752817926190360f, 0.588901606649675840f, + -0.808204737480194720f, + 0.588281548222645330f, -0.808656181588174980f, 0.587661143724736770f, + -0.809107149984558130f, + 0.587040393520918080f, -0.809557642404051260f, 0.586419297976360500f, + -0.810007658581641140f, + 0.585797857456438860f, -0.810457198252594770f, 0.585176072326730410f, + -0.810906261152459670f, + 0.584553942953015330f, -0.811354847017063730f, 0.583931469701276300f, + -0.811802955582515360f, + 0.583308652937698290f, -0.812250586585203880f, 0.582685493028668460f, + -0.812697739761799490f, + 0.582061990340775550f, -0.813144414849253590f, 0.581438145240810280f, + -0.813590611584798510f, + 0.580813958095764530f, -0.814036329705948300f, 0.580189429272831680f, + -0.814481568950498610f, + 0.579564559139405740f, -0.814926329056526620f, 0.578939348063081890f, + -0.815370609762391290f, + 0.578313796411655590f, -0.815814410806733780f, 0.577687904553122800f, + -0.816257731928477390f, + 0.577061672855679550f, -0.816700572866827850f, 0.576435101687721830f, + -0.817142933361272970f, + 0.575808191417845340f, -0.817584813151583710f, 0.575180942414845190f, + -0.818026211977813440f, + 0.574553355047715760f, -0.818467129580298660f, 0.573925429685650750f, + -0.818907565699658950f, + 0.573297166698042320f, -0.819347520076796900f, 0.572668566454481160f, + -0.819786992452898990f, + 0.572039629324757050f, -0.820225982569434690f, 0.571410355678857340f, + -0.820664490168157460f, + 0.570780745886967370f, -0.821102514991104650f, 0.570150800319470300f, + -0.821540056780597610f, + 0.569520519346947250f, -0.821977115279241550f, 0.568889903340175970f, + -0.822413690229926390f, + 0.568258952670131490f, -0.822849781375826320f, 0.567627667707986230f, + -0.823285388460400110f, + 0.566996048825108680f, -0.823720511227391320f, 0.566364096393063950f, + -0.824155149420828570f, + 0.565731810783613230f, -0.824589302785025290f, 0.565099192368714090f, + -0.825022971064580220f, + 0.564466241520519500f, -0.825456154004377440f, 0.563832958611378170f, + -0.825888851349586780f, + 0.563199344013834090f, -0.826321062845663420f, 0.562565398100626560f, + -0.826752788238348520f, + 0.561931121244689470f, -0.827184027273669020f, 0.561296513819151470f, + -0.827614779697938400f, + 0.560661576197336030f, -0.828045045257755800f, 0.560026308752760380f, + -0.828474823700007130f, + 0.559390711859136140f, -0.828904114771864870f, 0.558754785890368310f, + -0.829332918220788250f, + 0.558118531220556100f, -0.829761233794523050f, 0.557481948223991660f, + -0.830189061241102370f, + 0.556845037275160100f, -0.830616400308846200f, 0.556207798748739930f, + -0.831043250746362320f, + 0.555570233019602290f, -0.831469612302545240f, 0.554932340462810370f, + -0.831895484726577590f, + 0.554294121453620110f, -0.832320867767929680f, 0.553655576367479310f, + -0.832745761176359460f, + 0.553016705580027580f, -0.833170164701913190f, 0.552377509467096070f, + -0.833594078094925140f, + 0.551737988404707450f, -0.834017501106018130f, 0.551098142769075430f, + -0.834440433486103190f, + 0.550457972936604810f, -0.834862874986380010f, 0.549817479283891020f, + -0.835284825358337370f, + 0.549176662187719770f, -0.835706284353752600f, 0.548535522025067390f, + -0.836127251724692160f, + 0.547894059173100190f, -0.836547727223511890f, 0.547252274009174090f, + -0.836967710602857020f, + 0.546610166910834860f, -0.837387201615661940f, 0.545967738255817680f, + -0.837806200015150940f, + 0.545324988422046460f, -0.838224705554837970f, 0.544681917787634530f, + -0.838642717988527300f, + 0.544038526730883930f, -0.839060237070312630f, 0.543394815630284800f, + -0.839477262554578550f, + 0.542750784864516000f, -0.839893794195999410f, 0.542106434812444030f, + -0.840309831749540770f, + 0.541461765853123560f, -0.840725374970458070f, 0.540816778365796670f, + -0.841140423614298080f, + 0.540171472729892970f, -0.841554977436898330f, 0.539525849325029010f, + -0.841969036194387680f, + 0.538879908531008420f, -0.842382599643185960f, 0.538233650727821700f, + -0.842795667540004120f, + 0.537587076295645510f, -0.843208239641845440f, 0.536940185614843020f, + -0.843620315706004040f, + 0.536292979065963180f, -0.844031895490066410f, 0.535645457029741090f, + -0.844442978751910660f, + 0.534997619887097260f, -0.844853565249707010f, 0.534349468019137520f, + -0.845263654741918220f, + 0.533701001807152960f, -0.845673246987299070f, 0.533052221632619670f, + -0.846082341744896940f, + 0.532403127877198010f, -0.846490938774052020f, 0.531753720922733320f, + -0.846899037834397350f, + 0.531104001151255000f, -0.847306638685858320f, 0.530453968944976320f, + -0.847713741088654270f, + 0.529803624686294830f, -0.848120344803297120f, 0.529152968757790720f, + -0.848526449590592650f, + 0.528502001542228480f, -0.848932055211639610f, 0.527850723422555460f, + -0.849337161427830670f, + 0.527199134781901390f, -0.849741768000852440f, 0.526547236003579330f, + -0.850145874692685210f, + 0.525895027471084740f, -0.850549481265603370f, 0.525242509568094710f, + -0.850952587482175730f, + 0.524589682678468840f, -0.851355193105265200f, 0.523936547186248600f, + -0.851757297898029120f, + 0.523283103475656430f, -0.852158901623919830f, 0.522629351931096720f, + -0.852560004046683970f, + 0.521975292937154390f, -0.852960604930363630f, 0.521320926878595550f, + -0.853360704039295430f, + 0.520666254140367270f, -0.853760301138111300f, 0.520011275107596040f, + -0.854159395991738730f, + 0.519355990165589530f, -0.854557988365400530f, 0.518700399699835170f, + -0.854956078024614820f, + 0.518044504095999340f, -0.855353664735196030f, 0.517388303739929060f, + -0.855750748263253920f, + 0.516731799017649980f, -0.856147328375194470f, 0.516074990315366630f, + -0.856543404837719960f, + 0.515417878019463150f, -0.856938977417828650f, 0.514760462516501200f, + -0.857334045882815590f, + 0.514102744193221660f, -0.857728610000272120f, 0.513444723436543570f, + -0.858122669538086020f, + 0.512786400633563070f, -0.858516224264442740f, 0.512127776171554690f, + -0.858909273947823900f, + 0.511468850437970520f, -0.859301818357008360f, 0.510809623820439040f, + -0.859693857261072610f, + 0.510150096706766700f, -0.860085390429390140f, 0.509490269484936360f, + -0.860476417631632070f, + 0.508830142543106990f, -0.860866938637767310f, 0.508169716269614710f, + -0.861256953218062060f, + 0.507508991052970870f, -0.861646461143081300f, 0.506847967281863320f, + -0.862035462183687210f, + 0.506186645345155450f, -0.862423956111040500f, 0.505525025631885510f, + -0.862811942696600330f, + 0.504863108531267480f, -0.863199421712124160f, 0.504200894432690560f, + -0.863586392929667990f, + 0.503538383725717580f, -0.863972856121586700f, 0.502875576800086880f, + -0.864358811060534030f, + 0.502212474045710900f, -0.864744257519462380f, 0.501549075852675390f, + -0.865129195271623690f, + 0.500885382611240940f, -0.865513624090568980f, 0.500221394711840680f, + -0.865897543750148820f, + 0.499557112545081890f, -0.866280954024512990f, 0.498892536501744750f, + -0.866663854688111020f, + 0.498227666972781870f, -0.867046245515692650f, 0.497562504349319090f, + -0.867428126282306920f, + 0.496897049022654640f, -0.867809496763303210f, 0.496231301384258310f, + -0.868190356734331310f, + 0.495565261825772490f, -0.868570705971340900f, 0.494898930739011310f, + -0.868950544250582380f, + 0.494232308515959730f, -0.869329871348606730f, 0.493565395548774880f, + -0.869708687042265560f, + 0.492898192229784090f, -0.870086991108711350f, 0.492230698951486080f, + -0.870464783325397670f, + 0.491562916106550060f, -0.870842063470078860f, 0.490894844087815140f, + -0.871218831320810900f, + 0.490226483288291100f, -0.871595086655951090f, 0.489557834101157550f, + -0.871970829254157700f, + 0.488888896919763230f, -0.872346058894391540f, 0.488219672137626740f, + -0.872720775355914300f, + 0.487550160148436050f, -0.873094978418290090f, 0.486880361346047400f, + -0.873468667861384880f, + 0.486210276124486530f, -0.873841843465366750f, 0.485539904877947020f, + -0.874214505010706300f, + 0.484869248000791120f, -0.874586652278176110f, 0.484198305887549140f, + -0.874958285048851540f, + 0.483527078932918740f, -0.875329403104110780f, 0.482855567531765670f, + -0.875700006225634600f, + 0.482183772079122830f, -0.876070094195406600f, 0.481511692970189920f, + -0.876439666795713610f, + 0.480839330600333900f, -0.876808723809145760f, 0.480166685365088440f, + -0.877177265018595940f, + 0.479493757660153010f, -0.877545290207261240f, 0.478820547881394050f, + -0.877912799158641730f, + 0.478147056424843120f, -0.878279791656541460f, 0.477473283686698060f, + -0.878646267485068130f, + 0.476799230063322250f, -0.879012226428633410f, 0.476124895951243630f, + -0.879377668271953180f, + 0.475450281747155870f, -0.879742592800047410f, 0.474775387847917230f, + -0.880106999798240360f, + 0.474100214650550020f, -0.880470889052160750f, 0.473424762552241530f, + -0.880834260347742040f, + 0.472749031950342900f, -0.881197113471221980f, 0.472073023242368660f, + -0.881559448209143780f, + 0.471396736825997810f, -0.881921264348354940f, 0.470720173099071710f, + -0.882282561676008600f, + 0.470043332459595620f, -0.882643339979562790f, 0.469366215305737630f, + -0.883003599046780720f, + 0.468688822035827960f, -0.883363338665731580f, 0.468011153048359830f, + -0.883722558624789660f, + 0.467333208741988530f, -0.884081258712634990f, 0.466654989515530970f, + -0.884439438718253700f, + 0.465976495767966130f, -0.884797098430937790f, 0.465297727898434650f, + -0.885154237640285110f, + 0.464618686306237820f, -0.885510856136199950f, 0.463939371390838460f, + -0.885866953708892790f, + 0.463259783551860260f, -0.886222530148880640f, 0.462579923189086810f, + -0.886577585246987040f, + 0.461899790702462840f, -0.886932118794342080f, 0.461219386492092430f, + -0.887286130582383150f, + 0.460538710958240010f, -0.887639620402853930f, 0.459857764501329650f, + -0.887992588047805560f, + 0.459176547521944150f, -0.888345033309596240f, 0.458495060420826220f, + -0.888696955980891710f, + 0.457813303598877290f, -0.889048355854664570f, 0.457131277457156980f, + -0.889399232724195520f, + 0.456448982396883860f, -0.889749586383072890f, 0.455766418819434750f, + -0.890099416625192210f, + 0.455083587126343840f, -0.890448723244757880f, 0.454400487719303750f, + -0.890797506036281490f, + 0.453717121000163930f, -0.891145764794583180f, 0.453033487370931580f, + -0.891493499314791380f, + 0.452349587233771000f, -0.891840709392342720f, 0.451665420991002540f, + -0.892187394822982480f, + 0.450980989045103810f, -0.892533555402764690f, 0.450296291798708730f, + -0.892879190928051680f, + 0.449611329654606600f, -0.893224301195515320f, 0.448926103015743260f, + -0.893568886002136020f, + 0.448240612285220000f, -0.893912945145203250f, 0.447554857866293010f, + -0.894256478422316040f, + 0.446868840162374330f, -0.894599485631382580f, 0.446182559577030120f, + -0.894941966570620750f, + 0.445496016513981740f, -0.895283921038557580f, 0.444809211377105000f, + -0.895625348834030000f, + 0.444122144570429260f, -0.895966249756185110f, 0.443434816498138430f, + -0.896306623604479660f, + 0.442747227564570130f, -0.896646470178680150f, 0.442059378174214760f, + -0.896985789278863970f, + 0.441371268731716620f, -0.897324580705418320f, 0.440682899641873020f, + -0.897662844259040750f, + 0.439994271309633260f, -0.898000579740739880f, 0.439305384140100060f, + -0.898337786951834190f, + 0.438616238538527710f, -0.898674465693953820f, 0.437926834910322860f, + -0.899010615769039070f, + 0.437237173661044200f, -0.899346236979341460f, 0.436547255196401250f, + -0.899681329127423930f, + 0.435857079922255470f, -0.900015892016160280f, 0.435166648244619370f, + -0.900349925448735600f, + 0.434475960569655710f, -0.900683429228646860f, 0.433785017303678520f, + -0.901016403159702330f, + 0.433093818853152010f, -0.901348847046022030f, 0.432402365624690140f, + -0.901680760692037730f, + 0.431710658025057370f, -0.902012143902493070f, 0.431018696461167080f, + -0.902342996482444200f, + 0.430326481340082610f, -0.902673318237258830f, 0.429634013069016500f, + -0.903003108972617040f, + 0.428941292055329550f, -0.903332368494511820f, 0.428248318706531910f, + -0.903661096609247980f, + 0.427555093430282200f, -0.903989293123443340f, 0.426861616634386490f, + -0.904316957844028320f, + 0.426167888726799620f, -0.904644090578246240f, 0.425473910115623910f, + -0.904970691133653250f, + 0.424779681209108810f, -0.905296759318118820f, 0.424085202415651670f, + -0.905622294939825160f, + 0.423390474143796100f, -0.905947297807268460f, 0.422695496802232950f, + -0.906271767729257660f, + 0.422000270799799790f, -0.906595704514915330f, 0.421304796545479700f, + -0.906919107973678030f, + 0.420609074448402510f, -0.907241977915295930f, 0.419913104917843730f, + -0.907564314149832520f, + 0.419216888363223960f, -0.907886116487666150f, 0.418520425194109700f, + -0.908207384739488700f, + 0.417823715820212380f, -0.908528118716306120f, 0.417126760651387870f, + -0.908848318229439120f, + 0.416429560097637320f, -0.909167983090522270f, 0.415732114569105420f, + -0.909487113111505430f, + 0.415034424476081630f, -0.909805708104652220f, 0.414336490228999210f, + -0.910123767882541570f, + 0.413638312238434560f, -0.910441292258067140f, 0.412939890915108020f, + -0.910758281044437570f, + 0.412241226669883000f, -0.911074734055176250f, 0.411542319913765280f, + -0.911390651104122320f, + 0.410843171057903910f, -0.911706032005429880f, 0.410143780513590350f, + -0.912020876573568230f, + 0.409444148692257590f, -0.912335184623322750f, 0.408744276005481520f, + -0.912648955969793900f, + 0.408044162864978740f, -0.912962190428398100f, 0.407343809682607970f, + -0.913274887814867760f, + 0.406643216870369140f, -0.913587047945250810f, 0.405942384840402570f, + -0.913898670635911680f, + 0.405241314004989860f, -0.914209755703530690f, 0.404540004776553110f, + -0.914520302965104450f, + 0.403838457567654130f, -0.914830312237946090f, 0.403136672790995240f, + -0.915139783339685260f, + 0.402434650859418540f, -0.915448716088267830f, 0.401732392185905010f, + -0.915757110301956720f, + 0.401029897183575790f, -0.916064965799331610f, 0.400327166265690150f, + -0.916372282399289140f, + 0.399624199845646790f, -0.916679059921042700f, 0.398920998336983020f, + -0.916985298184122890f, + 0.398217562153373620f, -0.917290997008377910f, 0.397513891708632330f, + -0.917596156213972950f, + 0.396809987416710420f, -0.917900775621390390f, 0.396105849691696320f, + -0.918204855051430900f, + 0.395401478947816300f, -0.918508394325212250f, 0.394696875599433670f, + -0.918811393264169940f, + 0.393992040061048100f, -0.919113851690057770f, 0.393286972747296570f, + -0.919415769424946960f, + 0.392581674072951530f, -0.919717146291227360f, 0.391876144452922350f, + -0.920017982111606570f, + 0.391170384302253980f, -0.920318276709110480f, 0.390464394036126650f, + -0.920618029907083860f, + 0.389758174069856410f, -0.920917241529189520f, 0.389051724818894500f, + -0.921215911399408730f, + 0.388345046698826300f, -0.921514039342041900f, 0.387638140125372680f, + -0.921811625181708120f, + 0.386931005514388690f, -0.922108668743345070f, 0.386223643281862980f, + -0.922405169852209880f, + 0.385516053843919020f, -0.922701128333878520f, 0.384808237616812930f, + -0.922996544014246250f, + 0.384100195016935040f, -0.923291416719527640f, 0.383391926460808770f, + -0.923585746276256560f, + 0.382683432365089840f, -0.923879532511286740f, 0.381974713146567220f, + -0.924172775251791200f, + 0.381265769222162490f, -0.924465474325262600f, 0.380556601008928570f, + -0.924757629559513910f, + 0.379847208924051110f, -0.925049240782677580f, 0.379137593384847430f, + -0.925340307823206200f, + 0.378427754808765620f, -0.925630830509872720f, 0.377717693613385810f, + -0.925920808671769960f, + 0.377007410216418310f, -0.926210242138311270f, 0.376296905035704790f, + -0.926499130739230510f, + 0.375586178489217330f, -0.926787474304581750f, 0.374875230995057600f, + -0.927075272664740100f, + 0.374164062971457990f, -0.927362525650401110f, 0.373452674836780410f, + -0.927649233092581180f, + 0.372741067009515810f, -0.927935394822617890f, 0.372029239908284960f, + -0.928221010672169440f, + 0.371317193951837600f, -0.928506080473215480f, 0.370604929559051670f, + -0.928790604058057020f, + 0.369892447148934270f, -0.929074581259315750f, 0.369179747140620070f, + -0.929358011909935500f, + 0.368466829953372320f, -0.929640895843181330f, 0.367753696006582090f, + -0.929923232892639560f, + 0.367040345719767240f, -0.930205022892219070f, 0.366326779512573590f, + -0.930486265676149780f, + 0.365612997804773960f, -0.930766961078983710f, 0.364899001016267380f, + -0.931047108935595170f, + 0.364184789567079840f, -0.931326709081180430f, 0.363470363877363870f, + -0.931605761351257830f, + 0.362755724367397230f, -0.931884265581668150f, 0.362040871457584350f, + -0.932162221608574320f, + 0.361325805568454340f, -0.932439629268462360f, 0.360610527120662270f, + -0.932716488398140250f, + 0.359895036534988280f, -0.932992798834738850f, 0.359179334232336560f, + -0.933268560415712050f, + 0.358463420633736540f, -0.933543772978836170f, 0.357747296160342010f, + -0.933818436362210960f, + 0.357030961233430030f, -0.934092550404258870f, 0.356314416274402360f, + -0.934366114943725900f, + 0.355597661704783960f, -0.934639129819680780f, 0.354880697946222790f, + -0.934911594871516090f, + 0.354163525420490510f, -0.935183509938947500f, 0.353446144549480870f, + -0.935454874862014620f, + 0.352728555755210730f, -0.935725689481080370f, 0.352010759459819240f, + -0.935995953636831300f, + 0.351292756085567150f, -0.936265667170278260f, 0.350574546054837570f, + -0.936534829922755500f, + 0.349856129790135030f, -0.936803441735921560f, 0.349137507714085030f, + -0.937071502451759190f, + 0.348418680249434510f, -0.937339011912574960f, 0.347699647819051490f, + -0.937605969960999990f, + 0.346980410845923680f, -0.937872376439989890f, 0.346260969753160170f, + -0.938138231192824360f, + 0.345541324963989150f, -0.938403534063108060f, 0.344821476901759290f, + -0.938668284894770170f, + 0.344101425989938980f, -0.938932483532064490f, 0.343381172652115100f, + -0.939196129819569900f, + 0.342660717311994380f, -0.939459223602189920f, 0.341940060393402300f, + -0.939721764725153340f, + 0.341219202320282410f, -0.939983753034013940f, 0.340498143516697100f, + -0.940245188374650880f, + 0.339776884406826960f, -0.940506070593268300f, 0.339055425414969640f, + -0.940766399536396070f, + 0.338333766965541290f, -0.941026175050889260f, 0.337611909483074680f, + -0.941285396983928660f, + 0.336889853392220050f, -0.941544065183020810f, 0.336167599117744690f, + -0.941802179495997650f, + 0.335445147084531660f, -0.942059739771017310f, 0.334722497717581220f, + -0.942316745856563780f, + 0.333999651442009490f, -0.942573197601446870f, 0.333276608683047980f, + -0.942829094854802710f, + 0.332553369866044220f, -0.943084437466093490f, 0.331829935416461220f, + -0.943339225285107720f, + 0.331106305759876430f, -0.943593458161960390f, 0.330382481321982950f, + -0.943847135947092690f, + 0.329658462528587550f, -0.944100258491272660f, 0.328934249805612200f, + -0.944352825645594750f, + 0.328209843579092660f, -0.944604837261480260f, 0.327485244275178060f, + -0.944856293190677210f, + 0.326760452320131790f, -0.945107193285260610f, 0.326035468140330350f, + -0.945357537397632290f, + 0.325310292162262980f, -0.945607325380521280f, 0.324584924812532150f, + -0.945856557086983910f, + 0.323859366517852960f, -0.946105232370403340f, 0.323133617705052330f, + -0.946353351084490590f, + 0.322407678801070020f, -0.946600913083283530f, 0.321681550232956640f, + -0.946847918221148000f, + 0.320955232427875210f, -0.947094366352777220f, 0.320228725813100020f, + -0.947340257333191940f, + 0.319502030816015750f, -0.947585591017741090f, 0.318775147864118480f, + -0.947830367262101010f, + 0.318048077385015060f, -0.948074585922276230f, 0.317320819806421790f, + -0.948318246854599090f, + 0.316593375556165850f, -0.948561349915730270f, 0.315865745062184070f, + -0.948803894962658380f, + 0.315137928752522440f, -0.949045881852700560f, 0.314409927055336820f, + -0.949287310443502010f, + 0.313681740398891570f, -0.949528180593036670f, 0.312953369211560200f, + -0.949768492159606680f, + 0.312224813921825050f, -0.950008245001843000f, 0.311496074958275970f, + -0.950247438978705230f, + 0.310767152749611470f, -0.950486073949481700f, 0.310038047724638000f, + -0.950724149773789610f, + 0.309308760312268780f, -0.950961666311575080f, 0.308579290941525030f, + -0.951198623423113230f, + 0.307849640041534980f, -0.951435020969008340f, 0.307119808041533100f, + -0.951670858810193860f, + 0.306389795370861080f, -0.951906136807932230f, 0.305659602458966230f, + -0.952140854823815830f, + 0.304929229735402430f, -0.952375012719765880f, 0.304198677629829270f, + -0.952608610358033240f, + 0.303467946572011370f, -0.952841647601198720f, 0.302737036991819140f, + -0.953074124312172200f, + 0.302005949319228200f, -0.953306040354193750f, 0.301274683984318000f, + -0.953537395590833280f, + 0.300543241417273400f, -0.953768189885990330f, 0.299811622048383460f, + -0.953998423103894490f, + 0.299079826308040480f, -0.954228095109105670f, 0.298347854626741570f, + -0.954457205766513490f, + 0.297615707435086310f, -0.954685754941338340f, 0.296883385163778270f, + -0.954913742499130520f, + 0.296150888243623960f, -0.955141168305770670f, 0.295418217105532070f, + -0.955368032227470240f, + 0.294685372180514330f, -0.955594334130771110f, 0.293952353899684770f, + -0.955820073882545420f, + 0.293219162694258680f, -0.956045251349996410f, 0.292485798995553830f, + -0.956269866400658140f, + 0.291752263234989370f, -0.956493918902394990f, 0.291018555844085090f, + -0.956717408723403050f, + 0.290284677254462330f, -0.956940335732208940f, 0.289550627897843140f, + -0.957162699797670100f, + 0.288816408206049480f, -0.957384500788975860f, 0.288082018611004300f, + -0.957605738575646240f, + 0.287347459544729570f, -0.957826413027532910f, 0.286612731439347790f, + -0.958046524014818600f, + 0.285877834727080730f, -0.958266071408017670f, 0.285142769840248720f, + -0.958485055077976100f, + 0.284407537211271820f, -0.958703474895871600f, 0.283672137272668550f, + -0.958921330733213060f, + 0.282936570457055390f, -0.959138622461841890f, 0.282200837197147500f, + -0.959355349953930790f, + 0.281464937925758050f, -0.959571513081984520f, 0.280728873075797190f, + -0.959787111718839900f, + 0.279992643080273380f, -0.960002145737665850f, 0.279256248372291240f, + -0.960216615011963430f, + 0.278519689385053060f, -0.960430519415565790f, 0.277782966551857800f, + -0.960643858822638470f, + 0.277046080306099950f, -0.960856633107679660f, 0.276309031081271030f, + -0.961068842145519350f, + 0.275571819310958250f, -0.961280485811320640f, 0.274834445428843940f, + -0.961491563980579000f, + 0.274096909868706330f, -0.961702076529122540f, 0.273359213064418790f, + -0.961912023333112100f, + 0.272621355449948980f, -0.962121404269041580f, 0.271883337459359890f, + -0.962330219213737400f, + 0.271145159526808070f, -0.962538468044359160f, 0.270406822086544820f, + -0.962746150638399410f, + 0.269668325572915200f, -0.962953266873683880f, 0.268929670420357310f, + -0.963159816628371360f, + 0.268190857063403180f, -0.963365799780954050f, 0.267451885936677740f, + -0.963571216210257210f, + 0.266712757474898420f, -0.963776065795439840f, 0.265973472112875530f, + -0.963980348415994110f, + 0.265234030285511900f, -0.964184063951745720f, 0.264494432427801630f, + -0.964387212282854290f, + 0.263754678974831510f, -0.964589793289812650f, 0.263014770361779060f, + -0.964791806853447900f, + 0.262274707023913590f, -0.964993252854920320f, 0.261534489396595630f, + -0.965194131175724720f, + 0.260794117915275570f, -0.965394441697689400f, 0.260053593015495130f, + -0.965594184302976830f, + 0.259312915132886350f, -0.965793358874083570f, 0.258572084703170390f, + -0.965991965293840570f, + 0.257831102162158930f, -0.966190003445412620f, 0.257089967945753230f, + -0.966387473212298790f, + 0.256348682489942910f, -0.966584374478333120f, 0.255607246230807550f, + -0.966780707127683270f, + 0.254865659604514630f, -0.966976471044852070f, 0.254123923047320620f, + -0.967171666114676640f, + 0.253382036995570270f, -0.967366292222328510f, 0.252640001885695580f, + -0.967560349253314360f, + 0.251897818154216910f, -0.967753837093475510f, 0.251155486237742030f, + -0.967946755628987800f, + 0.250413006572965280f, -0.968139104746362330f, 0.249670379596668520f, + -0.968330884332445300f, + 0.248927605745720260f, -0.968522094274417270f, 0.248184685457074780f, + -0.968712734459794780f, + 0.247441619167773440f, -0.968902804776428870f, 0.246698407314942500f, + -0.969092305112506100f, + 0.245955050335794590f, -0.969281235356548530f, 0.245211548667627680f, + -0.969469595397412950f, + 0.244467902747824210f, -0.969657385124292450f, 0.243724113013852130f, + -0.969844604426714830f, + 0.242980179903263980f, -0.970031253194543970f, 0.242236103853696070f, + -0.970217331317979160f, + 0.241491885302869300f, -0.970402838687555500f, 0.240747524688588540f, + -0.970587775194143630f, + 0.240003022448741500f, -0.970772140728950350f, 0.239258379021300120f, + -0.970955935183517970f, + 0.238513594844318500f, -0.971139158449725090f, 0.237768670355934210f, + -0.971321810419786160f, + 0.237023605994367340f, -0.971503890986251780f, 0.236278402197919620f, + -0.971685400042008540f, + 0.235533059404975460f, -0.971866337480279400f, 0.234787578054001080f, + -0.972046703194623500f, + 0.234041958583543460f, -0.972226497078936270f, 0.233296201432231560f, + -0.972405719027449770f, + 0.232550307038775330f, -0.972584368934732210f, 0.231804275841964780f, + -0.972762446695688570f, + 0.231058108280671280f, -0.972939952205560070f, 0.230311804793845530f, + -0.973116885359925130f, + 0.229565365820518870f, -0.973293246054698250f, 0.228818791799802360f, + -0.973469034186130950f, + 0.228072083170885790f, -0.973644249650811870f, 0.227325240373038830f, + -0.973818892345666100f, + 0.226578263845610110f, -0.973992962167955830f, 0.225831154028026200f, + -0.974166459015280320f, + 0.225083911359792780f, -0.974339382785575860f, 0.224336536280493690f, + -0.974511733377115720f, + 0.223589029229790020f, -0.974683510688510670f, 0.222841390647421280f, + -0.974854714618708430f, + 0.222093620973203590f, -0.975025345066994120f, 0.221345720647030810f, + -0.975195401932990370f, + 0.220597690108873650f, -0.975364885116656870f, 0.219849529798778750f, + -0.975533794518291360f, + 0.219101240156869770f, -0.975702130038528570f, 0.218352821623346430f, + -0.975869891578341030f, + 0.217604274638483670f, -0.976037079039039020f, 0.216855599642632570f, + -0.976203692322270560f, + 0.216106797076219600f, -0.976369731330021140f, 0.215357867379745550f, + -0.976535195964614470f, + 0.214608810993786920f, -0.976700086128711840f, 0.213859628358993830f, + -0.976864401725312640f, + 0.213110319916091360f, -0.977028142657754390f, 0.212360886105878580f, + -0.977191308829712280f, + 0.211611327369227610f, -0.977353900145199960f, 0.210861644147084830f, + -0.977515916508569280f, + 0.210111836880469720f, -0.977677357824509930f, 0.209361906010474190f, + -0.977838223998050430f, + 0.208611851978263460f, -0.977998514934557140f, 0.207861675225075150f, + -0.978158230539735050f, + 0.207111376192218560f, -0.978317370719627650f, 0.206360955321075680f, + -0.978475935380616830f, + 0.205610413053099320f, -0.978633924429423100f, 0.204859749829814420f, + -0.978791337773105670f, + 0.204108966092817010f, -0.978948175319062200f, 0.203358062283773370f, + -0.979104436975029250f, + 0.202607038844421110f, -0.979260122649082020f, 0.201855896216568160f, + -0.979415232249634780f, + 0.201104634842091960f, -0.979569765685440520f, 0.200353255162940420f, + -0.979723722865591170f, + 0.199601757621131050f, -0.979877103699517640f, 0.198850142658750120f, + -0.980029908096989980f, + 0.198098410717953730f, -0.980182135968117320f, 0.197346562240966000f, + -0.980333787223347960f, + 0.196594597670080220f, -0.980484861773469380f, 0.195842517447657990f, + -0.980635359529608120f, + 0.195090322016128330f, -0.980785280403230430f, 0.194338011817988600f, + -0.980934624306141640f, + 0.193585587295803750f, -0.981083391150486590f, 0.192833048892205290f, + -0.981231580848749730f, + 0.192080397049892380f, -0.981379193313754560f, 0.191327632211630990f, + -0.981526228458664660f, + 0.190574754820252800f, -0.981672686196983110f, 0.189821765318656580f, + -0.981818566442552500f, + 0.189068664149806280f, -0.981963869109555240f, 0.188315451756732120f, + -0.982108594112513610f, + 0.187562128582529740f, -0.982252741366289370f, 0.186808695070359330f, + -0.982396310786084690f, + 0.186055151663446630f, -0.982539302287441240f, 0.185301498805082040f, + -0.982681715786240860f, + 0.184547736938619640f, -0.982823551198705240f, 0.183793866507478390f, + -0.982964808441396440f, + 0.183039887955141060f, -0.983105487431216290f, 0.182285801725153320f, + -0.983245588085407070f, + 0.181531608261125130f, -0.983385110321551180f, 0.180777308006728670f, + -0.983524054057571260f, + 0.180022901405699510f, -0.983662419211730250f, 0.179268388901835880f, + -0.983800205702631490f, + 0.178513770938997590f, -0.983937413449218920f, 0.177759047961107140f, + -0.984074042370776450f, + 0.177004220412148860f, -0.984210092386929030f, 0.176249288736167940f, + -0.984345563417641900f, + 0.175494253377271400f, -0.984480455383220930f, 0.174739114779627310f, + -0.984614768204312600f, + 0.173983873387463850f, -0.984748501801904210f, 0.173228529645070490f, + -0.984881656097323700f, + 0.172473083996796030f, -0.985014231012239840f, 0.171717536887049970f, + -0.985146226468662230f, + 0.170961888760301360f, -0.985277642388941220f, 0.170206140061078120f, + -0.985408478695768420f, + 0.169450291233967930f, -0.985538735312176060f, 0.168694342723617440f, + -0.985668412161537550f, + 0.167938294974731230f, -0.985797509167567370f, 0.167182148432072880f, + -0.985926026254321130f, + 0.166425903540464220f, -0.986053963346195440f, 0.165669560744784140f, + -0.986181320367928270f, + 0.164913120489970090f, -0.986308097244598670f, 0.164156583221015890f, + -0.986434293901627070f, + 0.163399949382973230f, -0.986559910264775410f, 0.162643219420950450f, + -0.986684946260146690f, + 0.161886393780111910f, -0.986809401814185420f, 0.161129472905678780f, + -0.986933276853677710f, + 0.160372457242928400f, -0.987056571305750970f, 0.159615347237193090f, + -0.987179285097874340f, + 0.158858143333861390f, -0.987301418157858430f, 0.158100845978377090f, + -0.987422970413855410f, + 0.157343455616238280f, -0.987543941794359230f, 0.156585972692998590f, + -0.987664332228205710f, + 0.155828397654265320f, -0.987784141644572180f, 0.155070730945700510f, + -0.987903369972977790f, + 0.154312973013020240f, -0.988022017143283530f, 0.153555124301993500f, + -0.988140083085692570f, + 0.152797185258443410f, -0.988257567730749460f, 0.152039156328246160f, + -0.988374471009341280f, + 0.151281037957330250f, -0.988490792852696590f, 0.150522830591677370f, + -0.988606533192386450f, + 0.149764534677321620f, -0.988721691960323780f, 0.149006150660348470f, + -0.988836269088763540f, + 0.148247678986896200f, -0.988950264510302990f, 0.147489120103153680f, + -0.989063678157881540f, + 0.146730474455361750f, -0.989176509964781010f, 0.145971742489812370f, + -0.989288759864625170f, + 0.145212924652847520f, -0.989400427791380380f, 0.144454021390860440f, + -0.989511513679355190f, + 0.143695033150294580f, -0.989622017463200780f, 0.142935960377642700f, + -0.989731939077910570f, + 0.142176803519448000f, -0.989841278458820530f, 0.141417563022303130f, + -0.989950035541608990f, + 0.140658239332849240f, -0.990058210262297120f, 0.139898832897777380f, + -0.990165802557248400f, + 0.139139344163826280f, -0.990272812363169110f, 0.138379773577783890f, + -0.990379239617108160f, + 0.137620121586486180f, -0.990485084256456980f, 0.136860388636816430f, + -0.990590346218950150f, + 0.136100575175706200f, -0.990695025442664630f, 0.135340681650134330f, + -0.990799121866020370f, + 0.134580708507126220f, -0.990902635427780010f, 0.133820656193754690f, + -0.991005566067049370f, + 0.133060525157139180f, -0.991107913723276780f, 0.132300315844444680f, + -0.991209678336254060f, + 0.131540028702883280f, -0.991310859846115440f, 0.130779664179711790f, + -0.991411458193338540f, + 0.130019222722233350f, -0.991511473318743900f, 0.129258704777796270f, + -0.991610905163495370f, + 0.128498110793793220f, -0.991709753669099530f, 0.127737441217662280f, + -0.991808018777406430f, + 0.126976696496885980f, -0.991905700430609330f, 0.126215877078990400f, + -0.992002798571244520f, + 0.125454983411546210f, -0.992099313142191800f, 0.124694015942167770f, + -0.992195244086673920f, + 0.123932975118512200f, -0.992290591348257370f, 0.123171861388280650f, + -0.992385354870851670f, + 0.122410675199216280f, -0.992479534598709970f, 0.121649416999105540f, + -0.992573130476428810f, + 0.120888087235777220f, -0.992666142448948020f, 0.120126686357101580f, + -0.992758570461551140f, + 0.119365214810991350f, -0.992850414459865100f, 0.118603673045400840f, + -0.992941674389860470f, + 0.117842061508325020f, -0.993032350197851410f, 0.117080380647800550f, + -0.993122441830495580f, + 0.116318630911904880f, -0.993211949234794500f, 0.115556812748755290f, + -0.993300872358093280f, + 0.114794926606510250f, -0.993389211148080650f, 0.114032972933367300f, + -0.993476965552789190f, + 0.113270952177564360f, -0.993564135520595300f, 0.112508864787378830f, + -0.993650721000219120f, + 0.111746711211126660f, -0.993736721940724600f, 0.110984491897163380f, + -0.993822138291519660f, + 0.110222207293883180f, -0.993906970002356060f, 0.109459857849718030f, + -0.993991217023329380f, + 0.108697444013138670f, -0.994074879304879370f, 0.107934966232653760f, + -0.994157956797789730f, + 0.107172424956808870f, -0.994240449453187900f, 0.106409820634187840f, + -0.994322357222545810f, + 0.105647153713410700f, -0.994403680057679100f, 0.104884424643134970f, + -0.994484417910747600f, + 0.104121633872054730f, -0.994564570734255420f, 0.103358781848899700f, + -0.994644138481050710f, + 0.102595869022436280f, -0.994723121104325700f, 0.101832895841466670f, + -0.994801518557617110f, + 0.101069862754827880f, -0.994879330794805620f, 0.100306770211392820f, + -0.994956557770116380f, + 0.099543618660069444f, -0.995033199438118630f, 0.098780408549799664f, + -0.995109255753726110f, + 0.098017140329560770f, -0.995184726672196820f, 0.097253814448363354f, + -0.995259612149133390f, + 0.096490431355252607f, -0.995333912140482280f, 0.095726991499307315f, + -0.995407626602534900f, + 0.094963495329639061f, -0.995480755491926940f, 0.094199943295393190f, + -0.995553298765638470f, + 0.093436335845747912f, -0.995625256380994310f, 0.092672673429913366f, + -0.995696628295663520f, + 0.091908956497132696f, -0.995767414467659820f, 0.091145185496681130f, + -0.995837614855341610f, + 0.090381360877865011f, -0.995907229417411720f, 0.089617483090022917f, + -0.995976258112917790f, + 0.088853552582524684f, -0.996044700901251970f, 0.088089569804770507f, + -0.996112557742151130f, + 0.087325535206192226f, -0.996179828595696870f, 0.086561449236251239f, + -0.996246513422315520f, + 0.085797312344439880f, -0.996312612182778000f, 0.085033124980280414f, + -0.996378124838200210f, + 0.084268887593324127f, -0.996443051350042630f, 0.083504600633152404f, + -0.996507391680110820f, + 0.082740264549375803f, -0.996571145790554840f, 0.081975879791633108f, + -0.996634313643869900f, + 0.081211446809592386f, -0.996696895202896060f, 0.080446966052950097f, + -0.996758890430818000f, + 0.079682437971430126f, -0.996820299291165670f, 0.078917863014785095f, + -0.996881121747813850f, + 0.078153241632794315f, -0.996941357764982160f, 0.077388574275265049f, + -0.997001007307235290f, + 0.076623861392031617f, -0.997060070339482960f, 0.075859103432954503f, + -0.997118546826979980f, + 0.075094300847921291f, -0.997176436735326190f, 0.074329454086845867f, + -0.997233740030466160f, + 0.073564563599667454f, -0.997290456678690210f, 0.072799629836351618f, + -0.997346586646633230f, + 0.072034653246889416f, -0.997402129901275300f, 0.071269634281296415f, + -0.997457086409941910f, + 0.070504573389614009f, -0.997511456140303450f, 0.069739471021907376f, + -0.997565239060375750f, + 0.068974327628266732f, -0.997618435138519550f, 0.068209143658806454f, + -0.997671044343441000f, + 0.067443919563664106f, -0.997723066644191640f, 0.066678655793001543f, + -0.997774502010167820f, + 0.065913352797003930f, -0.997825350411111640f, 0.065148011025878860f, + -0.997875611817110150f, + 0.064382630929857410f, -0.997925286198596000f, 0.063617212959193190f, + -0.997974373526346990f, + 0.062851757564161420f, -0.998022873771486240f, 0.062086265195060247f, + -0.998070786905482340f, + 0.061320736302208648f, -0.998118112900149180f, 0.060555171335947781f, + -0.998164851727646240f, + 0.059789570746640007f, -0.998211003360478190f, 0.059023934984667986f, + -0.998256567771495180f, + 0.058258264500435732f, -0.998301544933892890f, 0.057492559744367684f, + -0.998345934821212370f, + 0.056726821166907783f, -0.998389737407340160f, 0.055961049218520520f, + -0.998432952666508440f, + 0.055195244349690031f, -0.998475580573294770f, 0.054429407010919147f, + -0.998517621102622210f, + 0.053663537652730679f, -0.998559074229759310f, 0.052897636725665401f, + -0.998599939930320370f, + 0.052131704680283317f, -0.998640218180265270f, 0.051365741967162731f, + -0.998679908955899090f, + 0.050599749036899337f, -0.998719012233872940f, 0.049833726340107257f, + -0.998757527991183340f, + 0.049067674327418126f, -0.998795456205172410f, 0.048301593449480172f, + -0.998832796853527990f, + 0.047535484156959261f, -0.998869549914283560f, 0.046769346900537960f, + -0.998905715365818290f, + 0.046003182130914644f, -0.998941293186856870f, 0.045236990298804750f, + -0.998976283356469820f, + 0.044470771854938744f, -0.999010685854073380f, 0.043704527250063421f, + -0.999044500659429290f, + 0.042938256934940959f, -0.999077727752645360f, 0.042171961360348002f, + -0.999110367114174890f, + 0.041405640977076712f, -0.999142418724816910f, 0.040639296235933854f, + -0.999173882565716380f, + 0.039872927587739845f, -0.999204758618363890f, 0.039106535483329839f, + -0.999235046864595850f, + 0.038340120373552791f, -0.999264747286594420f, 0.037573682709270514f, + -0.999293859866887790f, + 0.036807222941358991f, -0.999322384588349540f, 0.036040741520706299f, + -0.999350321434199440f, + 0.035274238898213947f, -0.999377670388002850f, 0.034507715524795889f, + -0.999404431433671300f, + 0.033741171851377642f, -0.999430604555461730f, 0.032974608328897315f, + -0.999456189737977340f, + 0.032208025408304704f, -0.999481186966166950f, 0.031441423540560343f, + -0.999505596225325310f, + 0.030674803176636581f, -0.999529417501093140f, 0.029908164767516655f, + -0.999552650779456990f, + 0.029141508764193740f, -0.999575296046749220f, 0.028374835617672258f, + -0.999597353289648380f, + 0.027608145778965820f, -0.999618822495178640f, 0.026841439699098527f, + -0.999639703650710200f, + 0.026074717829104040f, -0.999659996743959220f, 0.025307980620024630f, + -0.999679701762987930f, + 0.024541228522912264f, -0.999698818696204250f, 0.023774461988827676f, + -0.999717347532362190f, + 0.023007681468839410f, -0.999735288260561680f, 0.022240887414024919f, + -0.999752640870248840f, + 0.021474080275469605f, -0.999769405351215280f, 0.020707260504265912f, + -0.999785581693599210f, + 0.019940428551514598f, -0.999801169887884260f, 0.019173584868322699f, + -0.999816169924900410f, + 0.018406729905804820f, -0.999830581795823400f, 0.017639864115082195f, + -0.999844405492175240f, + 0.016872987947281773f, -0.999857641005823860f, 0.016106101853537263f, + -0.999870288328982950f, + 0.015339206284988220f, -0.999882347454212560f, 0.014572301692779104f, + -0.999893818374418490f, + 0.013805388528060349f, -0.999904701082852900f, 0.013038467241987433f, + -0.999914995573113470f, + 0.012271538285719944f, -0.999924701839144500f, 0.011504602110422875f, + -0.999933819875236000f, + 0.010737659167264572f, -0.999942349676023910f, 0.009970709907418029f, + -0.999950291236490480f, + 0.009203754782059960f, -0.999957644551963900f, 0.008436794242369860f, + -0.999964409618118280f, + 0.007669828739531077f, -0.999970586430974140f, 0.006902858724729877f, + -0.999976174986897610f, + 0.006135884649154515f, -0.999981175282601110f, 0.005368906963996303f, + -0.999985587315143200f, + 0.004601926120448672f, -0.999989411081928400f, 0.003834942569706248f, + -0.999992646580707190f, + 0.003067956762966138f, -0.999995293809576190f, 0.002300969151425887f, + -0.999997352766978210f, + 0.001533980186284766f, -0.999998823451701880f, 0.000766990318742846f, + -0.999999705862882230f +}; + +static const float32_t Weights_8192[16384] = { + 1.000000000000000000f, -0.000000000000000000f, 0.999999981616429330f, + -0.000191747597310703f, + 0.999999926465717890f, -0.000383495187571396f, 0.999999834547867670f, + -0.000575242763732066f, + 0.999999705862882230f, -0.000766990318742704f, 0.999999540410766110f, + -0.000958737845553301f, + 0.999999338191525530f, -0.001150485337113849f, 0.999999099205167830f, + -0.001342232786374338f, + 0.999998823451701880f, -0.001533980186284766f, 0.999998510931137790f, + -0.001725727529795126f, + 0.999998161643486980f, -0.001917474809855419f, 0.999997775588762350f, + -0.002109222019415644f, + 0.999997352766978210f, -0.002300969151425805f, 0.999996893178149880f, + -0.002492716198835908f, + 0.999996396822294350f, -0.002684463154595962f, 0.999995863699429940f, + -0.002876210011655979f, + 0.999995293809576190f, -0.003067956762965976f, 0.999994687152754080f, + -0.003259703401475973f, + 0.999994043728985820f, -0.003451449920135994f, 0.999993363538295150f, + -0.003643196311896068f, + 0.999992646580707190f, -0.003834942569706228f, 0.999991892856248010f, + -0.004026688686516512f, + 0.999991102364945590f, -0.004218434655276963f, 0.999990275106828920f, + -0.004410180468937631f, + 0.999989411081928400f, -0.004601926120448571f, 0.999988510290275690f, + -0.004793671602759841f, + 0.999987572731904080f, -0.004985416908821511f, 0.999986598406848000f, + -0.005177162031583651f, + 0.999985587315143200f, -0.005368906963996343f, 0.999984539456826970f, + -0.005560651699009674f, + 0.999983454831937730f, -0.005752396229573736f, 0.999982333440515350f, + -0.005944140548638633f, + 0.999981175282601110f, -0.006135884649154475f, 0.999979980358237650f, + -0.006327628524071378f, + 0.999978748667468830f, -0.006519372166339468f, 0.999977480210339940f, + -0.006711115568908879f, + 0.999976174986897610f, -0.006902858724729756f, 0.999974832997189810f, + -0.007094601626752250f, + 0.999973454241265940f, -0.007286344267926521f, 0.999972038719176730f, + -0.007478086641202744f, + 0.999970586430974140f, -0.007669828739531097f, 0.999969097376711580f, + -0.007861570555861772f, + 0.999967571556443780f, -0.008053312083144972f, 0.999966008970226920f, + -0.008245053314330906f, + 0.999964409618118280f, -0.008436794242369799f, 0.999962773500176930f, + -0.008628534860211886f, + 0.999961100616462820f, -0.008820275160807412f, 0.999959390967037450f, + -0.009012015137106633f, + 0.999957644551963900f, -0.009203754782059819f, 0.999955861371306100f, + -0.009395494088617252f, + 0.999954041425129780f, -0.009587233049729225f, 0.999952184713501780f, + -0.009778971658346044f, + 0.999950291236490480f, -0.009970709907418031f, 0.999948360994165400f, + -0.010162447789895513f, + 0.999946393986597460f, -0.010354185298728842f, 0.999944390213859060f, + -0.010545922426868378f, + 0.999942349676023910f, -0.010737659167264491f, 0.999940272373166960f, + -0.010929395512867571f, + 0.999938158305364590f, -0.011121131456628021f, 0.999936007472694620f, + -0.011312866991496258f, + 0.999933819875236000f, -0.011504602110422714f, 0.999931595513069200f, + -0.011696336806357838f, + 0.999929334386276070f, -0.011888071072252092f, 0.999927036494939640f, + -0.012079804901055957f, + 0.999924701839144500f, -0.012271538285719925f, 0.999922330418976490f, + -0.012463271219194511f, + 0.999919922234522750f, -0.012655003694430242f, 0.999917477285871770f, + -0.012846735704377662f, + 0.999914995573113470f, -0.013038467241987334f, 0.999912477096339240f, + -0.013230198300209835f, + 0.999909921855641540f, -0.013421928871995765f, 0.999907329851114300f, + -0.013613658950295740f, + 0.999904701082852900f, -0.013805388528060391f, 0.999902035550953920f, + -0.013997117598240367f, + 0.999899333255515390f, -0.014188846153786345f, 0.999896594196636680f, + -0.014380574187649006f, + 0.999893818374418490f, -0.014572301692779064f, 0.999891005788962950f, + -0.014764028662127246f, + 0.999888156440373320f, -0.014955755088644296f, 0.999885270328754520f, + -0.015147480965280987f, + 0.999882347454212560f, -0.015339206284988100f, 0.999879387816854930f, + -0.015530931040716447f, + 0.999876391416790410f, -0.015722655225416857f, 0.999873358254129260f, + -0.015914378832040183f, + 0.999870288328982950f, -0.016106101853537287f, 0.999867181641464380f, + -0.016297824282859065f, + 0.999864038191687680f, -0.016489546112956437f, 0.999860857979768540f, + -0.016681267336780332f, + 0.999857641005823860f, -0.016872987947281710f, 0.999854387269971890f, + -0.017064707937411563f, + 0.999851096772332190f, -0.017256427300120877f, 0.999847769513025900f, + -0.017448146028360693f, + 0.999844405492175240f, -0.017639864115082053f, 0.999841004709904000f, + -0.017831581553236039f, + 0.999837567166337090f, -0.018023298335773746f, 0.999834092861600960f, + -0.018215014455646290f, + 0.999830581795823400f, -0.018406729905804820f, 0.999827033969133420f, + -0.018598444679200511f, + 0.999823449381661570f, -0.018790158768784555f, 0.999819828033539420f, + -0.018981872167508178f, + 0.999816169924900410f, -0.019173584868322623f, 0.999812475055878780f, + -0.019365296864179156f, + 0.999808743426610520f, -0.019557008148029083f, 0.999804975037232870f, + -0.019748718712823729f, + 0.999801169887884260f, -0.019940428551514441f, 0.999797327978704690f, + -0.020132137657052594f, + 0.999793449309835270f, -0.020323846022389593f, 0.999789533881418780f, + -0.020515553640476875f, + 0.999785581693599210f, -0.020707260504265895f, 0.999781592746521670f, + -0.020898966606708137f, + 0.999777567040332940f, -0.021090671940755121f, 0.999773504575180990f, + -0.021282376499358387f, + 0.999769405351215280f, -0.021474080275469508f, 0.999765269368586450f, + -0.021665783262040078f, + 0.999761096627446610f, -0.021857485452021735f, 0.999756887127949080f, + -0.022049186838366135f, + 0.999752640870248840f, -0.022240887414024961f, 0.999748357854501780f, + -0.022432587171949934f, + 0.999744038080865430f, -0.022624286105092803f, 0.999739681549498660f, + -0.022815984206405345f, + 0.999735288260561680f, -0.023007681468839369f, 0.999730858214216030f, + -0.023199377885346720f, + 0.999726391410624470f, -0.023391073448879258f, 0.999721887849951310f, + -0.023582768152388894f, + 0.999717347532362190f, -0.023774461988827555f, 0.999712770458023870f, + -0.023966154951147210f, + 0.999708156627104880f, -0.024157847032299864f, 0.999703506039774650f, + -0.024349538225237534f, + 0.999698818696204250f, -0.024541228522912288f, 0.999694094596566000f, + -0.024732917918276223f, + 0.999689333741033640f, -0.024924606404281468f, 0.999684536129782140f, + -0.025116293973880186f, + 0.999679701762987930f, -0.025307980620024571f, 0.999674830640828740f, + -0.025499666335666853f, + 0.999669922763483760f, -0.025691351113759295f, 0.999664978131133310f, + -0.025883034947254198f, + 0.999659996743959220f, -0.026074717829103901f, 0.999654978602144690f, + -0.026266399752260760f, + 0.999649923705874240f, -0.026458080709677187f, 0.999644832055333610f, + -0.026649760694305618f, + 0.999639703650710200f, -0.026841439699098531f, 0.999634538492192300f, + -0.027033117717008431f, + 0.999629336579970110f, -0.027224794740987875f, 0.999624097914234570f, + -0.027416470763989436f, + 0.999618822495178640f, -0.027608145778965740f, 0.999613510322995950f, + -0.027799819778869445f, + 0.999608161397882110f, -0.027991492756653243f, 0.999602775720033530f, + -0.028183164705269874f, + 0.999597353289648380f, -0.028374835617672099f, 0.999591894106925950f, + -0.028566505486812728f, + 0.999586398172067070f, -0.028758174305644615f, 0.999580865485273700f, + -0.028949842067120635f, + 0.999575296046749220f, -0.029141508764193722f, 0.999569689856698580f, + -0.029333174389816835f, + 0.999564046915327740f, -0.029524838936942976f, 0.999558367222844300f, + -0.029716502398525191f, + 0.999552650779456990f, -0.029908164767516555f, 0.999546897585375960f, + -0.030099826036870198f, + 0.999541107640812940f, -0.030291486199539284f, 0.999535280945980540f, + -0.030483145248477009f, + 0.999529417501093140f, -0.030674803176636626f, 0.999523517306366350f, + -0.030866459976971412f, + 0.999517580362016990f, -0.031058115642434700f, 0.999511606668263440f, + -0.031249770165979861f, + 0.999505596225325310f, -0.031441423540560301f, 0.999499549033423640f, + -0.031633075759129478f, + 0.999493465092780590f, -0.031824726814640887f, 0.999487344403620080f, + -0.032016376700048060f, + 0.999481186966166950f, -0.032208025408304586f, 0.999474992780647780f, + -0.032399672932364086f, + 0.999468761847290050f, -0.032591319265180226f, 0.999462494166323160f, + -0.032782964399706724f, + 0.999456189737977340f, -0.032974608328897335f, 0.999449848562484530f, + -0.033166251045705857f, + 0.999443470640077770f, -0.033357892543086139f, 0.999437055970991530f, + -0.033549532813992068f, + 0.999430604555461730f, -0.033741171851377580f, 0.999424116393725640f, + -0.033932809648196664f, + 0.999417591486021720f, -0.034124446197403326f, 0.999411029832589780f, + -0.034316081491951651f, + 0.999404431433671300f, -0.034507715524795750f, 0.999397796289508640f, + -0.034699348288889799f, + 0.999391124400346050f, -0.034890979777188004f, 0.999384415766428560f, + -0.035082609982644619f, + 0.999377670388002850f, -0.035274238898213947f, 0.999370888265317170f, + -0.035465866516850353f, + 0.999364069398620550f, -0.035657492831508222f, 0.999357213788164000f, + -0.035849117835142018f, + 0.999350321434199440f, -0.036040741520706229f, 0.999343392336980220f, + -0.036232363881155395f, + 0.999336426496761240f, -0.036423984909444110f, 0.999329423913798420f, + -0.036615604598527030f, + 0.999322384588349540f, -0.036807222941358832f, 0.999315308520673070f, + -0.036998839930894263f, + 0.999308195711029470f, -0.037190455560088119f, 0.999301046159680070f, + -0.037382069821895229f, + 0.999293859866887790f, -0.037573682709270494f, 0.999286636832916740f, + -0.037765294215168860f, + 0.999279377058032710f, -0.037956904332545310f, 0.999272080542502610f, + -0.038148513054354891f, + 0.999264747286594420f, -0.038340120373552694f, 0.999257377290578060f, + -0.038531726283093870f, + 0.999249970554724420f, -0.038723330775933623f, 0.999242527079305830f, + -0.038914933845027193f, + 0.999235046864595850f, -0.039106535483329888f, 0.999227529910869610f, + -0.039298135683797059f, + 0.999219976218403530f, -0.039489734439384118f, 0.999212385787475290f, + -0.039681331743046527f, + 0.999204758618363890f, -0.039872927587739811f, 0.999197094711349880f, + -0.040064521966419520f, + 0.999189394066714920f, -0.040256114872041282f, 0.999181656684742350f, + -0.040447706297560782f, + 0.999173882565716380f, -0.040639296235933736f, 0.999166071709923000f, + -0.040830884680115948f, + 0.999158224117649430f, -0.041022471623063238f, 0.999150339789184110f, + -0.041214057057731519f, + 0.999142418724816910f, -0.041405640977076739f, 0.999134460924839150f, + -0.041597223374054894f, + 0.999126466389543390f, -0.041788804241622061f, 0.999118435119223490f, + -0.041980383572734356f, + 0.999110367114174890f, -0.042171961360347947f, 0.999102262374694130f, + -0.042363537597419072f, + 0.999094120901079070f, -0.042555112276904020f, 0.999085942693629270f, + -0.042746685391759132f, + 0.999077727752645360f, -0.042938256934940820f, 0.999069476078429330f, + -0.043129826899405546f, + 0.999061187671284600f, -0.043321395278109825f, 0.999052862531515930f, + -0.043512962064010237f, + 0.999044500659429290f, -0.043704527250063421f, 0.999036102055332330f, + -0.043896090829226068f, + 0.999027666719533690f, -0.044087652794454944f, 0.999019194652343460f, + -0.044279213138706849f, + 0.999010685854073380f, -0.044470771854938668f, 0.999002140325035980f, + -0.044662328936107325f, + 0.998993558065545680f, -0.044853884375169815f, 0.998984939075918010f, + -0.045045438165083197f, + 0.998976283356469820f, -0.045236990298804590f, 0.998967590907519300f, + -0.045428540769291155f, + 0.998958861729386080f, -0.045620089569500144f, 0.998950095822391250f, + -0.045811636692388844f, + 0.998941293186856870f, -0.046003182130914623f, 0.998932453823106690f, + -0.046194725878034908f, + 0.998923577731465780f, -0.046386267926707157f, 0.998914664912260440f, + -0.046577808269888943f, + 0.998905715365818290f, -0.046769346900537863f, 0.998896729092468410f, + -0.046960883811611592f, + 0.998887706092541290f, -0.047152418996067869f, 0.998878646366368690f, + -0.047343952446864478f, + 0.998869549914283560f, -0.047535484156959303f, 0.998860416736620520f, + -0.047727014119310254f, + 0.998851246833715180f, -0.047918542326875327f, 0.998842040205904840f, + -0.048110068772612591f, + 0.998832796853527990f, -0.048301593449480144f, 0.998823516776924490f, + -0.048493116350436176f, + 0.998814199976435390f, -0.048684637468438943f, 0.998804846452403420f, + -0.048876156796446760f, + 0.998795456205172410f, -0.049067674327418015f, 0.998786029235087640f, + -0.049259190054311140f, + 0.998776565542495610f, -0.049450703970084664f, 0.998767065127744380f, + -0.049642216067697156f, + 0.998757527991183340f, -0.049833726340107277f, 0.998747954133162860f, + -0.050025234780273729f, + 0.998738343554035230f, -0.050216741381155311f, 0.998728696254153720f, + -0.050408246135710856f, + 0.998719012233872940f, -0.050599749036899282f, 0.998709291493549030f, + -0.050791250077679581f, + 0.998699534033539280f, -0.050982749251010803f, 0.998689739854202620f, + -0.051174246549852080f, + 0.998679908955899090f, -0.051365741967162593f, 0.998670041338990070f, + -0.051557235495901611f, + 0.998660137003838490f, -0.051748727129028456f, 0.998650195950808280f, + -0.051940216859502536f, + 0.998640218180265270f, -0.052131704680283324f, 0.998630203692576050f, + -0.052323190584330347f, + 0.998620152488108870f, -0.052514674564603223f, 0.998610064567233340f, + -0.052706156614061632f, + 0.998599939930320370f, -0.052897636725665324f, 0.998589778577742230f, + -0.053089114892374133f, + 0.998579580509872500f, -0.053280591107147945f, 0.998569345727086110f, + -0.053472065362946727f, + 0.998559074229759310f, -0.053663537652730520f, 0.998548766018269920f, + -0.053855007969459440f, + 0.998538421092996730f, -0.054046476306093660f, 0.998528039454320230f, + -0.054237942655593452f, + 0.998517621102622210f, -0.054429407010919133f, 0.998507166038285490f, + -0.054620869365031105f, + 0.998496674261694640f, -0.054812329710889854f, 0.998486145773235360f, + -0.055003788041455920f, + 0.998475580573294770f, -0.055195244349689934f, 0.998464978662261250f, + -0.055386698628552597f, + 0.998454340040524800f, -0.055578150871004678f, 0.998443664708476340f, + -0.055769601070007030f, + 0.998432952666508440f, -0.055961049218520569f, 0.998422203915015020f, + -0.056152495309506292f, + 0.998411418454391300f, -0.056343939335925290f, 0.998400596285033640f, + -0.056535381290738700f, + 0.998389737407340160f, -0.056726821166907748f, 0.998378841821709990f, + -0.056918258957393740f, + 0.998367909528543820f, -0.057109694655158062f, 0.998356940528243420f, + -0.057301128253162158f, + 0.998345934821212370f, -0.057492559744367566f, 0.998334892407855000f, + -0.057683989121735904f, + 0.998323813288577560f, -0.057875416378228857f, 0.998312697463787260f, + -0.058066841506808194f, + 0.998301544933892890f, -0.058258264500435752f, 0.998290355699304350f, + -0.058449685352073476f, + 0.998279129760433200f, -0.058641104054683341f, 0.998267867117692110f, + -0.058832520601227435f, + 0.998256567771495180f, -0.059023934984667931f, 0.998245231722257880f, + -0.059215347197967061f, + 0.998233858970396850f, -0.059406757234087150f, 0.998222449516330550f, + -0.059598165085990591f, + 0.998211003360478190f, -0.059789570746639868f, 0.998199520503260660f, + -0.059980974208997548f, + 0.998188000945100300f, -0.060172375466026259f, 0.998176444686420530f, + -0.060363774510688743f, + 0.998164851727646240f, -0.060555171335947788f, 0.998153222069203760f, + -0.060746565934766288f, + 0.998141555711520520f, -0.060937958300107203f, 0.998129852655025630f, + -0.061129348424933588f, + 0.998118112900149180f, -0.061320736302208578f, 0.998106336447323050f, + -0.061512121924895378f, + 0.998094523296980010f, -0.061703505285957298f, 0.998082673449554590f, + -0.061894886378357716f, + 0.998070786905482340f, -0.062086265195060088f, 0.998058863665200250f, + -0.062277641729027972f, + 0.998046903729146840f, -0.062469015973224996f, 0.998034907097761770f, + -0.062660387920614874f, + 0.998022873771486240f, -0.062851757564161406f, 0.998010803750762450f, + -0.063043124896828492f, + 0.997998697036034390f, -0.063234489911580066f, 0.997986553627747020f, + -0.063425852601380228f, + 0.997974373526346990f, -0.063617212959193106f, 0.997962156732281950f, + -0.063808570977982898f, + 0.997949903246001190f, -0.063999926650713940f, 0.997937613067955250f, + -0.064191279970350637f, + 0.997925286198596000f, -0.064382630929857465f, 0.997912922638376610f, + -0.064573979522198982f, + 0.997900522387751620f, -0.064765325740339885f, 0.997888085447177110f, + -0.064956669577244872f, + 0.997875611817110150f, -0.065148011025878833f, 0.997863101498009500f, + -0.065339350079206632f, + 0.997850554490335110f, -0.065530686730193327f, 0.997837970794548280f, + -0.065722020971803990f, + 0.997825350411111640f, -0.065913352797003805f, 0.997812693340489280f, + -0.066104682198758077f, + 0.997799999583146470f, -0.066296009170032130f, 0.997787269139549960f, + -0.066487333703791451f, + 0.997774502010167820f, -0.066678655793001557f, 0.997761698195469560f, + -0.066869975430628115f, + 0.997748857695925690f, -0.067061292609636822f, 0.997735980512008620f, + -0.067252607322993499f, + 0.997723066644191640f, -0.067443919563664051f, 0.997710116092949570f, + -0.067635229324614479f, + 0.997697128858758500f, -0.067826536598810869f, 0.997684104942096030f, + -0.068017841379219388f, + 0.997671044343441000f, -0.068209143658806329f, 0.997657947063273710f, + -0.068400443430538013f, + 0.997644813102075420f, -0.068591740687380942f, 0.997631642460329320f, + -0.068783035422301630f, + 0.997618435138519550f, -0.068974327628266746f, 0.997605191137131640f, + -0.069165617298242985f, + 0.997591910456652630f, -0.069356904425197208f, 0.997578593097570800f, + -0.069548189002096306f, + 0.997565239060375750f, -0.069739471021907307f, 0.997551848345558430f, + -0.069930750477597309f, + 0.997538420953611340f, -0.070122027362133521f, 0.997524956885027960f, + -0.070313301668483250f, + 0.997511456140303450f, -0.070504573389613856f, 0.997497918719934210f, + -0.070695842518492855f, + 0.997484344624417930f, -0.070887109048087801f, 0.997470733854253670f, + -0.071078372971366405f, + 0.997457086409941910f, -0.071269634281296401f, 0.997443402291984360f, + -0.071460892970845680f, + 0.997429681500884180f, -0.071652149032982212f, 0.997415924037145960f, + -0.071843402460674027f, + 0.997402129901275300f, -0.072034653246889332f, 0.997388299093779460f, + -0.072225901384596322f, + 0.997374431615167150f, -0.072417146866763413f, 0.997360527465947940f, + -0.072608389686358993f, + 0.997346586646633230f, -0.072799629836351673f, 0.997332609157735470f, + -0.072990867309710036f, + 0.997318594999768600f, -0.073182102099402888f, 0.997304544173247990f, + -0.073373334198399032f, + 0.997290456678690210f, -0.073564563599667426f, 0.997276332516613180f, + -0.073755790296177098f, + 0.997262171687536170f, -0.073947014280897200f, 0.997247974191979860f, + -0.074138235546796979f, + 0.997233740030466280f, -0.074329454086845756f, 0.997219469203518670f, + -0.074520669894013000f, + 0.997205161711661850f, -0.074711882961268211f, 0.997190817555421940f, + -0.074903093281581082f, + 0.997176436735326190f, -0.075094300847921305f, 0.997162019251903290f, + -0.075285505653258769f, + 0.997147565105683480f, -0.075476707690563388f, 0.997133074297198110f, + -0.075667906952805231f, + 0.997118546826979980f, -0.075859103432954447f, 0.997103982695563330f, + -0.076050297123981259f, + 0.997089381903483400f, -0.076241488018856066f, 0.997074744451277310f, + -0.076432676110549283f, + 0.997060070339482960f, -0.076623861392031492f, 0.997045359568640040f, + -0.076815043856273343f, + 0.997030612139289450f, -0.077006223496245640f, 0.997015828051973310f, + -0.077197400304919200f, + 0.997001007307235290f, -0.077388574275265049f, 0.996986149905620180f, + -0.077579745400254224f, + 0.996971255847674320f, -0.077770913672857947f, 0.996956325133945280f, + -0.077962079086047492f, + 0.996941357764982160f, -0.078153241632794232f, 0.996926353741335090f, + -0.078344401306069705f, + 0.996911313063555740f, -0.078535558098845479f, 0.996896235732197210f, + -0.078726712004093299f, + 0.996881121747813850f, -0.078917863014784942f, 0.996865971110961310f, + -0.079109011123892375f, + 0.996850783822196610f, -0.079300156324387597f, 0.996835559882078170f, + -0.079491298609242769f, + 0.996820299291165670f, -0.079682437971430126f, 0.996805002050020430f, + -0.079873574403921996f, + 0.996789668159204560f, -0.080064707899690890f, 0.996774297619282050f, + -0.080255838451709319f, + 0.996758890430818000f, -0.080446966052950014f, 0.996743446594378860f, + -0.080638090696385709f, + 0.996727966110532490f, -0.080829212374989329f, 0.996712448979848010f, + -0.081020331081733857f, + 0.996696895202896060f, -0.081211446809592441f, 0.996681304780248300f, + -0.081402559551538245f, + 0.996665677712478160f, -0.081593669300544652f, 0.996650014000160070f, + -0.081784776049585076f, + 0.996634313643869900f, -0.081975879791633066f, 0.996618576644185070f, + -0.082166980519662314f, + 0.996602803001684130f, -0.082358078226646536f, 0.996586992716946950f, + -0.082549172905559673f, + 0.996571145790554840f, -0.082740264549375692f, 0.996555262223090540f, + -0.082931353151068699f, + 0.996539342015137940f, -0.083122438703612911f, 0.996523385167282450f, + -0.083313521199982685f, + 0.996507391680110820f, -0.083504600633152432f, 0.996491361554210920f, + -0.083695676996096716f, + 0.996475294790172160f, -0.083886750281790226f, 0.996459191388585410f, + -0.084077820483207694f, + 0.996443051350042630f, -0.084268887593324071f, 0.996426874675137240f, + -0.084459951605114325f, + 0.996410661364464100f, -0.084651012511553617f, 0.996394411418619290f, + -0.084842070305617134f, + 0.996378124838200210f, -0.085033124980280275f, 0.996361801623805720f, + -0.085224176528518478f, + 0.996345441776035900f, -0.085415224943307333f, 0.996329045295492380f, + -0.085606270217622529f, + 0.996312612182778000f, -0.085797312344439894f, 0.996296142438496850f, + -0.085988351316735337f, + 0.996279636063254650f, -0.086179387127484894f, 0.996263093057658140f, + -0.086370419769664752f, + 0.996246513422315520f, -0.086561449236251170f, 0.996229897157836500f, + -0.086752475520220543f, + 0.996213244264832040f, -0.086943498614549378f, 0.996196554743914220f, + -0.087134518512214307f, + 0.996179828595696980f, -0.087325535206192059f, 0.996163065820794950f, + -0.087516548689459531f, + 0.996146266419824620f, -0.087707558954993659f, 0.996129430393403740f, + -0.087898565995771588f, + 0.996112557742151130f, -0.088089569804770507f, 0.996095648466687300f, + -0.088280570374967740f, + 0.996078702567633980f, -0.088471567699340767f, 0.996061720045614000f, + -0.088662561770867149f, + 0.996044700901251970f, -0.088853552582524600f, 0.996027645135173610f, + -0.089044540127290892f, + 0.996010552748005870f, -0.089235524398144014f, 0.995993423740377360f, + -0.089426505388061961f, + 0.995976258112917790f, -0.089617483090022959f, 0.995959055866258320f, + -0.089808457497005278f, + 0.995941817001031350f, -0.089999428601987341f, 0.995924541517870800f, + -0.090190396397947695f, + 0.995907229417411720f, -0.090381360877864983f, 0.995889880700290720f, + -0.090572322034717989f, + 0.995872495367145730f, -0.090763279861485621f, 0.995855073418615790f, + -0.090954234351146926f, + 0.995837614855341610f, -0.091145185496681005f, 0.995820119677964910f, + -0.091336133291067184f, + 0.995802587887129160f, -0.091527077727284828f, 0.995785019483478750f, + -0.091718018798313455f, + 0.995767414467659820f, -0.091908956497132724f, 0.995749772840319510f, + -0.092099890816722388f, + 0.995732094602106430f, -0.092290821750062355f, 0.995714379753670610f, + -0.092481749290132600f, + 0.995696628295663520f, -0.092672673429913310f, 0.995678840228737540f, + -0.092863594162384724f, + 0.995661015553546910f, -0.093054511480527249f, 0.995643154270746900f, + -0.093245425377321375f, + 0.995625256380994310f, -0.093436335845747787f, 0.995607321884947050f, + -0.093627242878787195f, + 0.995589350783264600f, -0.093818146469420549f, 0.995571343076607770f, + -0.094009046610628838f, + 0.995553298765638470f, -0.094199943295393204f, 0.995535217851020390f, + -0.094390836516694943f, + 0.995517100333418110f, -0.094581726267515445f, 0.995498946213497770f, + -0.094772612540836243f, + 0.995480755491926940f, -0.094963495329638992f, 0.995462528169374420f, + -0.095154374626905486f, + 0.995444264246510340f, -0.095345250425617617f, 0.995425963724006160f, + -0.095536122718757471f, + 0.995407626602534900f, -0.095726991499307162f, 0.995389252882770690f, + -0.095917856760249040f, + 0.995370842565388990f, -0.096108718494565509f, 0.995352395651066810f, + -0.096299576695239128f, + 0.995333912140482280f, -0.096490431355252593f, 0.995315392034315070f, + -0.096681282467588725f, + 0.995296835333246090f, -0.096872130025230471f, 0.995278242037957670f, + -0.097062974021160917f, + 0.995259612149133390f, -0.097253814448363271f, 0.995240945667458130f, + -0.097444651299820870f, + 0.995222242593618360f, -0.097635484568517200f, 0.995203502928301510f, + -0.097826314247435861f, + 0.995184726672196930f, -0.098017140329560604f, 0.995165913825994620f, + -0.098207962807875276f, + 0.995147064390386470f, -0.098398781675363881f, 0.995128178366065490f, + -0.098589596925010584f, + 0.995109255753726110f, -0.098780408549799623f, 0.995090296554064000f, + -0.098971216542715429f, + 0.995071300767776170f, -0.099162020896742503f, 0.995052268395561050f, + -0.099352821604865540f, + 0.995033199438118630f, -0.099543618660069319f, 0.995014093896149700f, + -0.099734412055338825f, + 0.994994951770357020f, -0.099925201783659073f, 0.994975773061444140f, + -0.100115987838015310f, + 0.994956557770116380f, -0.100306770211392860f, 0.994937305897080070f, + -0.100497548896777200f, + 0.994918017443043200f, -0.100688323887153960f, 0.994898692408714870f, + -0.100879095175508860f, + 0.994879330794805620f, -0.101069862754827820f, 0.994859932602027320f, + -0.101260626618096830f, + 0.994840497831093180f, -0.101451386758302080f, 0.994821026482717860f, + -0.101642143168429830f, + 0.994801518557617110f, -0.101832895841466530f, 0.994781974056508260f, + -0.102023644770398740f, + 0.994762392980109930f, -0.102214389948213210f, 0.994742775329142010f, + -0.102405131367896720f, + 0.994723121104325700f, -0.102595869022436280f, 0.994703430306383860f, + -0.102786602904819040f, + 0.994683702936040250f, -0.102977333008032220f, 0.994663938994020390f, + -0.103168059325063230f, + 0.994644138481050710f, -0.103358781848899610f, 0.994624301397859400f, + -0.103549500572529070f, + 0.994604427745175660f, -0.103740215488939370f, 0.994584517523730340f, + -0.103930926591118510f, + 0.994564570734255420f, -0.104121633872054590f, 0.994544587377484300f, + -0.104312337324735800f, + 0.994524567454151740f, -0.104503036942150570f, 0.994504510964993700f, + -0.104693732717287390f, + 0.994484417910747600f, -0.104884424643134970f, 0.994464288292152390f, + -0.105075112712682040f, + 0.994444122109948040f, -0.105265796918917600f, 0.994423919364875950f, + -0.105456477254830710f, + 0.994403680057679100f, -0.105647153713410620f, 0.994383404189101430f, + -0.105837826287646670f, + 0.994363091759888570f, -0.106028494970528410f, 0.994342742770787270f, + -0.106219159755045480f, + 0.994322357222545810f, -0.106409820634187680f, 0.994301935115913580f, + -0.106600477600944960f, + 0.994281476451641550f, -0.106791130648307390f, 0.994260981230481790f, + -0.106981779769265230f, + 0.994240449453187900f, -0.107172424956808840f, 0.994219881120514960f, + -0.107363066203928760f, + 0.994199276233218910f, -0.107553703503615620f, 0.994178634792057590f, + -0.107744336848860280f, + 0.994157956797789730f, -0.107934966232653650f, 0.994137242251175720f, + -0.108125591647986870f, + 0.994116491152977070f, -0.108316213087851170f, 0.994095703503956930f, + -0.108506830545237920f, + 0.994074879304879370f, -0.108697444013138720f, 0.994054018556510210f, + -0.108888053484545190f, + 0.994033121259616400f, -0.109078658952449240f, 0.994012187414966220f, + -0.109269260409842780f, + 0.993991217023329380f, -0.109459857849717980f, 0.993970210085476920f, + -0.109650451265067100f, + 0.993949166602181130f, -0.109841040648882600f, 0.993928086574215830f, + -0.110031625994157000f, + 0.993906970002356060f, -0.110222207293883060f, 0.993885816887378090f, + -0.110412784541053630f, + 0.993864627230059750f, -0.110603357728661730f, 0.993843401031180180f, + -0.110793926849700560f, + 0.993822138291519660f, -0.110984491897163390f, 0.993800839011860120f, + -0.111175052864043720f, + 0.993779503192984580f, -0.111365609743335160f, 0.993758130835677430f, + -0.111556162528031480f, + 0.993736721940724600f, -0.111746711211126590f, 0.993715276508913230f, + -0.111937255785614570f, + 0.993693794541031790f, -0.112127796244489640f, 0.993672276037870010f, + -0.112318332580746170f, + 0.993650721000219120f, -0.112508864787378690f, 0.993629129428871720f, + -0.112699392857381860f, + 0.993607501324621610f, -0.112889916783750520f, 0.993585836688263950f, + -0.113080436559479620f, + 0.993564135520595300f, -0.113270952177564350f, 0.993542397822413600f, + -0.113461463630999950f, + 0.993520623594518090f, -0.113651970912781870f, 0.993498812837709360f, + -0.113842474015905710f, + 0.993476965552789190f, -0.114032972933367200f, 0.993455081740560960f, + -0.114223467658162260f, + 0.993433161401829360f, -0.114413958183286920f, 0.993411204537400060f, + -0.114604444501737420f, + 0.993389211148080650f, -0.114794926606510080f, 0.993367181234679600f, + -0.114985404490601460f, + 0.993345114798006910f, -0.115175878147008190f, 0.993323011838873950f, + -0.115366347568727140f, + 0.993300872358093280f, -0.115556812748755260f, 0.993278696356479030f, + -0.115747273680089720f, + 0.993256483834846440f, -0.115937730355727780f, 0.993234234794012290f, + -0.116128182768666930f, + 0.993211949234794500f, -0.116318630911904750f, 0.993189627158012620f, + -0.116509074778439040f, + 0.993167268564487230f, -0.116699514361267690f, 0.993144873455040430f, + -0.116889949653388780f, + 0.993122441830495580f, -0.117080380647800590f, 0.993099973691677570f, + -0.117270807337501460f, + 0.993077469039412300f, -0.117461229715489990f, 0.993054927874527320f, + -0.117651647774764860f, + 0.993032350197851410f, -0.117842061508324980f, 0.993009736010214580f, + -0.118032470909169340f, + 0.992987085312448390f, -0.118222875970297170f, 0.992964398105385610f, + -0.118413276684707790f, + 0.992941674389860470f, -0.118603673045400720f, 0.992918914166708300f, + -0.118794065045375640f, + 0.992896117436765980f, -0.118984452677632340f, 0.992873284200871730f, + -0.119174835935170880f, + 0.992850414459865100f, -0.119365214810991350f, 0.992827508214586760f, + -0.119555589298094110f, + 0.992804565465879140f, -0.119745959389479600f, 0.992781586214585570f, + -0.119936325078148470f, + 0.992758570461551140f, -0.120126686357101500f, 0.992735518207621850f, + -0.120317043219339680f, + 0.992712429453645460f, -0.120507395657864130f, 0.992689304200470750f, + -0.120697743665676110f, + 0.992666142448948020f, -0.120888087235777080f, 0.992642944199928820f, + -0.121078426361168640f, + 0.992619709454266140f, -0.121268761034852600f, 0.992596438212814290f, + -0.121459091249830840f, + 0.992573130476428810f, -0.121649416999105530f, 0.992549786245966680f, + -0.121839738275678890f, + 0.992526405522286100f, -0.122030055072553360f, 0.992502988306246950f, + -0.122220367382731540f, + 0.992479534598709970f, -0.122410675199216200f, 0.992456044400537700f, + -0.122600978515010240f, + 0.992432517712593660f, -0.122791277323116770f, 0.992408954535742850f, + -0.122981571616539050f, + 0.992385354870851670f, -0.123171861388280480f, 0.992361718718787870f, + -0.123362146631344680f, + 0.992338046080420420f, -0.123552427338735370f, 0.992314336956619640f, + -0.123742703503456510f, + 0.992290591348257370f, -0.123932975118512160f, 0.992266809256206580f, + -0.124123242176906600f, + 0.992242990681341700f, -0.124313504671644230f, 0.992219135624538450f, + -0.124503762595729660f, + 0.992195244086673920f, -0.124694015942167640f, 0.992171316068626520f, + -0.124884264703963130f, + 0.992147351571276090f, -0.125074508874121170f, 0.992123350595503720f, + -0.125264748445647060f, + 0.992099313142191800f, -0.125454983411546230f, 0.992075239212224070f, + -0.125645213764824290f, + 0.992051128806485720f, -0.125835439498487000f, 0.992026981925863360f, + -0.126025660605540320f, + 0.992002798571244520f, -0.126215877078990350f, 0.991978578743518580f, + -0.126406088911843380f, + 0.991954322443575950f, -0.126596296097105850f, 0.991930029672308480f, + -0.126786498627784410f, + 0.991905700430609330f, -0.126976696496885870f, 0.991881334719373010f, + -0.127166889697417160f, + 0.991856932539495470f, -0.127357078222385400f, 0.991832493891873780f, + -0.127547262064797970f, + 0.991808018777406430f, -0.127737441217662310f, 0.991783507196993490f, + -0.127927615673986080f, + 0.991758959151536110f, -0.128117785426777130f, 0.991734374641936810f, + -0.128307950469043420f, + 0.991709753669099530f, -0.128498110793793170f, 0.991685096233929420f, + -0.128688266394034690f, + 0.991660402337333210f, -0.128878417262776550f, 0.991635671980218740f, + -0.129068563393027410f, + 0.991610905163495370f, -0.129258704777796140f, 0.991586101888073500f, + -0.129448841410091780f, + 0.991561262154865290f, -0.129638973282923560f, 0.991536385964783880f, + -0.129829100389300930f, + 0.991511473318743900f, -0.130019222722233350f, 0.991486524217661480f, + -0.130209340274730630f, + 0.991461538662453790f, -0.130399453039802690f, 0.991436516654039420f, + -0.130589561010459650f, + 0.991411458193338540f, -0.130779664179711710f, 0.991386363281272280f, + -0.130969762540569380f, + 0.991361231918763460f, -0.131159856086043270f, 0.991336064106736140f, + -0.131349944809144190f, + 0.991310859846115440f, -0.131540028702883120f, 0.991285619137828200f, + -0.131730107760271160f, + 0.991260341982802440f, -0.131920181974319790f, 0.991235028381967420f, + -0.132110251338040360f, + 0.991209678336254060f, -0.132300315844444650f, 0.991184291846594180f, + -0.132490375486544550f, + 0.991158868913921350f, -0.132680430257352070f, 0.991133409539170170f, + -0.132870480149879430f, + 0.991107913723276890f, -0.133060525157139060f, 0.991082381467178640f, + -0.133250565272143570f, + 0.991056812771814340f, -0.133440600487905680f, 0.991031207638124130f, + -0.133630630797438340f, + 0.991005566067049370f, -0.133820656193754720f, 0.990979888059532740f, + -0.134010676669868130f, + 0.990954173616518500f, -0.134200692218792020f, 0.990928422738951990f, + -0.134390702833540070f, + 0.990902635427780010f, -0.134580708507126170f, 0.990876811683950700f, + -0.134770709232564350f, + 0.990850951508413620f, -0.134960705002868750f, 0.990825054902119470f, + -0.135150695811053850f, + 0.990799121866020370f, -0.135340681650134210f, 0.990773152401069780f, + -0.135530662513124590f, + 0.990747146508222710f, -0.135720638393039910f, 0.990721104188435180f, + -0.135910609282895330f, + 0.990695025442664630f, -0.136100575175706200f, 0.990668910271870100f, + -0.136290536064487960f, + 0.990642758677011570f, -0.136480491942256280f, 0.990616570659050620f, + -0.136670442802027090f, + 0.990590346218950150f, -0.136860388636816380f, 0.990564085357674370f, + -0.137050329439640410f, + 0.990537788076188750f, -0.137240265203515590f, 0.990511454375460290f, + -0.137430195921458550f, + 0.990485084256457090f, -0.137620121586486040f, 0.990458677720148620f, + -0.137810042191615080f, + 0.990432234767505970f, -0.137999957729862790f, 0.990405755399501260f, + -0.138189868194246560f, + 0.990379239617108160f, -0.138379773577783890f, 0.990352687421301450f, + -0.138569673873492500f, + 0.990326098813057330f, -0.138759569074390350f, 0.990299473793353590f, + -0.138949459173495490f, + 0.990272812363169110f, -0.139139344163826200f, 0.990246114523483990f, + -0.139329224038400980f, + 0.990219380275280000f, -0.139519098790238490f, 0.990192609619540030f, + -0.139708968412357550f, + 0.990165802557248400f, -0.139898832897777210f, 0.990138959089390650f, + -0.140088692239516670f, + 0.990112079216953770f, -0.140278546430595420f, 0.990085162940925970f, + -0.140468395464033000f, + 0.990058210262297120f, -0.140658239332849210f, 0.990031221182058000f, + -0.140848078030064080f, + 0.990004195701200910f, -0.141037911548697710f, 0.989977133820719610f, + -0.141227739881770510f, + 0.989950035541608990f, -0.141417563022303020f, 0.989922900864865450f, + -0.141607380963316020f, + 0.989895729791486660f, -0.141797193697830390f, 0.989868522322471580f, + -0.141987001218867290f, + 0.989841278458820530f, -0.142176803519448030f, 0.989813998201535260f, + -0.142366600592594180f, + 0.989786681551618640f, -0.142556392431327340f, 0.989759328510075200f, + -0.142746179028669460f, + 0.989731939077910570f, -0.142935960377642670f, 0.989704513256131850f, + -0.143125736471269190f, + 0.989677051045747210f, -0.143315507302571500f, 0.989649552447766530f, + -0.143505272864572290f, + 0.989622017463200890f, -0.143695033150294470f, 0.989594446093062460f, + -0.143884788152760980f, + 0.989566838338365120f, -0.144074537864995160f, 0.989539194200123930f, + -0.144264282280020440f, + 0.989511513679355190f, -0.144454021390860470f, 0.989483796777076760f, + -0.144643755190539040f, + 0.989456043494307710f, -0.144833483672080210f, 0.989428253832068230f, + -0.145023206828508220f, + 0.989400427791380380f, -0.145212924652847460f, 0.989372565373267010f, + -0.145402637138122570f, + 0.989344666578752640f, -0.145592344277358340f, 0.989316731408863000f, + -0.145782046063579860f, + 0.989288759864625170f, -0.145971742489812210f, 0.989260751947067640f, + -0.146161433549080900f, + 0.989232707657220050f, -0.146351119234411460f, 0.989204626996113780f, + -0.146540799538829760f, + 0.989176509964781010f, -0.146730474455361750f, 0.989148356564255590f, + -0.146920143977033620f, + 0.989120166795572690f, -0.147109808096871820f, 0.989091940659768800f, + -0.147299466807902850f, + 0.989063678157881540f, -0.147489120103153570f, 0.989035379290950310f, + -0.147678767975650970f, + 0.989007044060015270f, -0.147868410418422220f, 0.988978672466118480f, + -0.148058047424494720f, + 0.988950264510302990f, -0.148247678986896030f, 0.988921820193613190f, + -0.148437305098653970f, + 0.988893339517095130f, -0.148626925752796540f, 0.988864822481795640f, + -0.148816540942351920f, + 0.988836269088763540f, -0.149006150660348450f, 0.988807679339048450f, + -0.149195754899814820f, + 0.988779053233701520f, -0.149385353653779720f, 0.988750390773775360f, + -0.149574946915272230f, + 0.988721691960323780f, -0.149764534677321510f, 0.988692956794401940f, + -0.149954116932956960f, + 0.988664185277066230f, -0.150143693675208190f, 0.988635377409374790f, + -0.150333264897105000f, + 0.988606533192386450f, -0.150522830591677400f, 0.988577652627162020f, + -0.150712390751955610f, + 0.988548735714763200f, -0.150901945370970040f, 0.988519782456253270f, + -0.151091494441751300f, + 0.988490792852696590f, -0.151281037957330220f, 0.988461766905159300f, + -0.151470575910737810f, + 0.988432704614708340f, -0.151660108295005310f, 0.988403605982412390f, + -0.151849635103164180f, + 0.988374471009341280f, -0.152039156328246050f, 0.988345299696566150f, + -0.152228671963282740f, + 0.988316092045159690f, -0.152418182001306330f, 0.988286848056195820f, + -0.152607686435349050f, + 0.988257567730749460f, -0.152797185258443440f, 0.988228251069897420f, + -0.152986678463622040f, + 0.988198898074717610f, -0.153176166043917840f, 0.988169508746289060f, + -0.153365647992363880f, + 0.988140083085692570f, -0.153555124301993450f, 0.988110621094009820f, + -0.153744594965840030f, + 0.988081122772324070f, -0.153934059976937350f, 0.988051588121720110f, + -0.154123519328319360f, + 0.988022017143283530f, -0.154312973013020100f, 0.987992409838101880f, + -0.154502421024073940f, + 0.987962766207263420f, -0.154691863354515430f, 0.987933086251858380f, + -0.154881299997379320f, + 0.987903369972977790f, -0.155070730945700510f, 0.987873617371714200f, + -0.155260156192514240f, + 0.987843828449161740f, -0.155449575730855850f, 0.987814003206415550f, + -0.155638989553760900f, + 0.987784141644572180f, -0.155828397654265230f, 0.987754243764729530f, + -0.156017800025404800f, + 0.987724309567986960f, -0.156207196660215900f, 0.987694339055445130f, + -0.156396587551734880f, + 0.987664332228205710f, -0.156585972692998430f, 0.987634289087372160f, + -0.156775352077043350f, + 0.987604209634049160f, -0.156964725696906780f, 0.987574093869342360f, + -0.157154093545625900f, + 0.987543941794359230f, -0.157343455616238250f, 0.987513753410208420f, + -0.157532811901781530f, + 0.987483528717999710f, -0.157722162395293630f, 0.987453267718844560f, + -0.157911507089812660f, + 0.987422970413855410f, -0.158100845978376980f, 0.987392636804146240f, + -0.158290179054025180f, + 0.987362266890832400f, -0.158479506309795960f, 0.987331860675030430f, + -0.158668827738728310f, + 0.987301418157858430f, -0.158858143333861450f, 0.987270939340435420f, + -0.159047453088234760f, + 0.987240424223882250f, -0.159236756994887850f, 0.987209872809320820f, + -0.159426055046860580f, + 0.987179285097874340f, -0.159615347237193060f, 0.987148661090667570f, + -0.159804633558925440f, + 0.987118000788826280f, -0.159993914005098270f, 0.987087304193477900f, + -0.160183188568752220f, + 0.987056571305750970f, -0.160372457242928280f, 0.987025802126775600f, + -0.160561720020667490f, + 0.986994996657682980f, -0.160750976895011220f, 0.986964154899605650f, + -0.160940227859001080f, + 0.986933276853677710f, -0.161129472905678810f, 0.986902362521034470f, + -0.161318712028086400f, + 0.986871411902812470f, -0.161507945219266120f, 0.986840425000149680f, + -0.161697172472260400f, + 0.986809401814185530f, -0.161886393780111830f, 0.986778342346060430f, + -0.162075609135863330f, + 0.986747246596916590f, -0.162264818532558000f, 0.986716114567897100f, + -0.162454021963239190f, + 0.986684946260146690f, -0.162643219420950310f, 0.986653741674811350f, + -0.162832410898735210f, + 0.986622500813038480f, -0.163021596389637840f, 0.986591223675976400f, + -0.163210775886702380f, + 0.986559910264775410f, -0.163399949382973230f, 0.986528560580586690f, + -0.163589116871495020f, + 0.986497174624562880f, -0.163778278345312670f, 0.986465752397857940f, + -0.163967433797471170f, + 0.986434293901627180f, -0.164156583221015810f, 0.986402799137027220f, + -0.164345726608992190f, + 0.986371268105216030f, -0.164534863954446000f, 0.986339700807353000f, + -0.164723995250423170f, + 0.986308097244598670f, -0.164913120489969890f, 0.986276457418115090f, + -0.165102239666132660f, + 0.986244781329065460f, -0.165291352771958000f, 0.986213068978614490f, + -0.165480459800492780f, + 0.986181320367928270f, -0.165669560744784120f, 0.986149535498173860f, + -0.165858655597879300f, + 0.986117714370520090f, -0.166047744352825790f, 0.986085856986136820f, + -0.166236827002671420f, + 0.986053963346195440f, -0.166425903540464100f, 0.986022033451868560f, + -0.166614973959252090f, + 0.985990067304330140f, -0.166804038252083730f, 0.985958064904755460f, + -0.166993096412007710f, + 0.985926026254321130f, -0.167182148432072940f, 0.985893951354205210f, + -0.167371194305328430f, + 0.985861840205586980f, -0.167560234024823560f, 0.985829692809647050f, + -0.167749267583607890f, + 0.985797509167567480f, -0.167938294974731170f, 0.985765289280531310f, + -0.168127316191243410f, + 0.985733033149723490f, -0.168316331226194830f, 0.985700740776329850f, + -0.168505340072635900f, + 0.985668412161537550f, -0.168694342723617330f, 0.985636047306535420f, + -0.168883339172189980f, + 0.985603646212513400f, -0.169072329411405010f, 0.985571208880662740f, + -0.169261313434313830f, + 0.985538735312176060f, -0.169450291233967960f, 0.985506225508247290f, + -0.169639262803419290f, + 0.985473679470071810f, -0.169828228135719850f, 0.985441097198846210f, + -0.170017187223921950f, + 0.985408478695768420f, -0.170206140061078070f, 0.985375823962037710f, + -0.170395086640240940f, + 0.985343132998854790f, -0.170584026954463590f, 0.985310405807421570f, + -0.170772960996799230f, + 0.985277642388941220f, -0.170961888760301220f, 0.985244842744618540f, + -0.171150810238023280f, + 0.985212006875659350f, -0.171339725423019310f, 0.985179134783271130f, + -0.171528634308343420f, + 0.985146226468662230f, -0.171717536887049970f, 0.985113281933042710f, + -0.171906433152193530f, + 0.985080301177623800f, -0.172095323096829010f, 0.985047284203618200f, + -0.172284206714011370f, + 0.985014231012239840f, -0.172473083996795950f, 0.984981141604703960f, + -0.172661954938238270f, + 0.984948015982227030f, -0.172850819531394080f, 0.984914854146027200f, + -0.173039677769319360f, + 0.984881656097323700f, -0.173228529645070320f, 0.984848421837337010f, + -0.173417375151703470f, + 0.984815151367289140f, -0.173606214282275410f, 0.984781844688403350f, + -0.173795047029843160f, + 0.984748501801904210f, -0.173983873387463820f, 0.984715122709017620f, + -0.174172693348194820f, + 0.984681707410970940f, -0.174361506905093750f, 0.984648255908992630f, + -0.174550314051218510f, + 0.984614768204312600f, -0.174739114779627200f, 0.984581244298162180f, + -0.174927909083378160f, + 0.984547684191773960f, -0.175116696955529920f, 0.984514087886381840f, + -0.175305478389141320f, + 0.984480455383220930f, -0.175494253377271430f, 0.984446786683527920f, + -0.175683021912979490f, + 0.984413081788540700f, -0.175871783989325040f, 0.984379340699498510f, + -0.176060539599367820f, + 0.984345563417641900f, -0.176249288736167880f, 0.984311749944212780f, + -0.176438031392785410f, + 0.984277900280454370f, -0.176626767562280880f, 0.984244014427611110f, + -0.176815497237715000f, + 0.984210092386929030f, -0.177004220412148750f, 0.984176134159655320f, + -0.177192937078643280f, + 0.984142139747038570f, -0.177381647230260040f, 0.984108109150328540f, + -0.177570350860060710f, + 0.984074042370776450f, -0.177759047961107170f, 0.984039939409634970f, + -0.177947738526461560f, + 0.984005800268157870f, -0.178136422549186300f, 0.983971624947600270f, + -0.178325100022344000f, + 0.983937413449218920f, -0.178513770938997510f, 0.983903165774271500f, + -0.178702435292209970f, + 0.983868881924017220f, -0.178891093075044720f, 0.983834561899716630f, + -0.179079744280565390f, + 0.983800205702631600f, -0.179268388901835750f, 0.983765813334025240f, + -0.179457026931919890f, + 0.983731384795162090f, -0.179645658363882160f, 0.983696920087308140f, + -0.179834283190787090f, + 0.983662419211730250f, -0.180022901405699510f, 0.983627882169697210f, + -0.180211513001684450f, + 0.983593308962478650f, -0.180400117971807240f, 0.983558699591345900f, + -0.180588716309133340f, + 0.983524054057571260f, -0.180777308006728590f, 0.983489372362428730f, + -0.180965893057658980f, + 0.983454654507193270f, -0.181154471454990810f, 0.983419900493141540f, + -0.181343043191790540f, + 0.983385110321551180f, -0.181531608261124970f, 0.983350283993701500f, + -0.181720166656061110f, + 0.983315421510872810f, -0.181908718369666160f, 0.983280522874346970f, + -0.182097263395007650f, + 0.983245588085407070f, -0.182285801725153300f, 0.983210617145337640f, + -0.182474333353171120f, + 0.983175610055424420f, -0.182662858272129270f, 0.983140566816954500f, + -0.182851376475096330f, + 0.983105487431216290f, -0.183039887955140950f, 0.983070371899499640f, + -0.183228392705332140f, + 0.983035220223095640f, -0.183416890718739100f, 0.983000032403296590f, + -0.183605381988431270f, + 0.982964808441396440f, -0.183793866507478450f, 0.982929548338690170f, + -0.183982344268950520f, + 0.982894252096474070f, -0.184170815265917720f, 0.982858919716046110f, + -0.184359279491450510f, + 0.982823551198705240f, -0.184547736938619620f, 0.982788146545751970f, + -0.184736187600495950f, + 0.982752705758487830f, -0.184924631470150790f, 0.982717228838215990f, + -0.185113068540655540f, + 0.982681715786240860f, -0.185301498805081900f, 0.982646166603868050f, + -0.185489922256501880f, + 0.982610581292404750f, -0.185678338887987630f, 0.982574959853159240f, + -0.185866748692611660f, + 0.982539302287441240f, -0.186055151663446630f, 0.982503608596561830f, + -0.186243547793565560f, + 0.982467878781833170f, -0.186431937076041610f, 0.982432112844569110f, + -0.186620319503948280f, + 0.982396310786084690f, -0.186808695070359270f, 0.982360472607696210f, + -0.186997063768348540f, + 0.982324598310721280f, -0.187185425590990330f, 0.982288687896478830f, + -0.187373780531359110f, + 0.982252741366289370f, -0.187562128582529600f, 0.982216758721474510f, + -0.187750469737576780f, + 0.982180739963357090f, -0.187938803989575910f, 0.982144685093261580f, + -0.188127131331602420f, + 0.982108594112513610f, -0.188315451756732120f, 0.982072467022440000f, + -0.188503765258040940f, + 0.982036303824369020f, -0.188692071828605230f, 0.982000104519630490f, + -0.188880371461501380f, + 0.981963869109555240f, -0.189068664149806190f, 0.981927597595475540f, + -0.189256949886596750f, + 0.981891289978725100f, -0.189445228664950230f, 0.981854946260638630f, + -0.189633500477944190f, + 0.981818566442552500f, -0.189821765318656410f, 0.981782150525804310f, + -0.190010023180164990f, + 0.981745698511732990f, -0.190198274055548150f, 0.981709210401678800f, + -0.190386517937884470f, + 0.981672686196983110f, -0.190574754820252740f, 0.981636125898989080f, + -0.190762984695732110f, + 0.981599529509040720f, -0.190951207557401800f, 0.981562897028483650f, + -0.191139423398341450f, + 0.981526228458664770f, -0.191327632211630900f, 0.981489523800932130f, + -0.191515833990350210f, + 0.981452783056635520f, -0.191704028727579800f, 0.981416006227125550f, + -0.191892216416400220f, + 0.981379193313754560f, -0.192080397049892440f, 0.981342344317876040f, + -0.192268570621137500f, + 0.981305459240844670f, -0.192456737123216840f, 0.981268538084016710f, + -0.192644896549212100f, + 0.981231580848749730f, -0.192833048892205230f, 0.981194587536402320f, + -0.193021194145278380f, + 0.981157558148334830f, -0.193209332301513960f, 0.981120492685908730f, + -0.193397463353994740f, + 0.981083391150486710f, -0.193585587295803610f, 0.981046253543432780f, + -0.193773704120023820f, + 0.981009079866112630f, -0.193961813819738840f, 0.980971870119892840f, + -0.194149916388032450f, + 0.980934624306141640f, -0.194338011817988600f, 0.980897342426228390f, + -0.194526100102691610f, + 0.980860024481523870f, -0.194714181235225960f, 0.980822670473400100f, + -0.194902255208676520f, + 0.980785280403230430f, -0.195090322016128250f, 0.980747854272389750f, + -0.195278381650666550f, + 0.980710392082253970f, -0.195466434105376980f, 0.980672893834200530f, + -0.195654479373345370f, + 0.980635359529608120f, -0.195842517447657850f, 0.980597789169856850f, + -0.196030548321400790f, + 0.980560182756327840f, -0.196218571987660880f, 0.980522540290404090f, + -0.196406588439524970f, + 0.980484861773469380f, -0.196594597670080220f, 0.980447147206909060f, + -0.196782599672414100f, + 0.980409396592109910f, -0.196970594439614340f, 0.980371609930459800f, + -0.197158581964768880f, + 0.980333787223347960f, -0.197346562240965920f, 0.980295928472165290f, + -0.197534535261294030f, + 0.980258033678303550f, -0.197722501018841920f, 0.980220102843156080f, + -0.197910459506698670f, + 0.980182135968117430f, -0.198098410717953560f, 0.980144133054583590f, + -0.198286354645696220f, + 0.980106094103951770f, -0.198474291283016390f, 0.980068019117620650f, + -0.198662220623004200f, + 0.980029908096990090f, -0.198850142658750090f, 0.979991761043461200f, + -0.199038057383344680f, + 0.979953577958436740f, -0.199225964789878830f, 0.979915358843320480f, + -0.199413864871443770f, + 0.979877103699517640f, -0.199601757621130970f, 0.979838812528434740f, + -0.199789643032032090f, + 0.979800485331479790f, -0.199977521097239150f, 0.979762122110061750f, + -0.200165391809844440f, + 0.979723722865591170f, -0.200353255162940450f, 0.979685287599479930f, + -0.200541111149619980f, + 0.979646816313141210f, -0.200728959762976140f, 0.979608309007989450f, + -0.200916800996102230f, + 0.979569765685440520f, -0.201104634842091900f, 0.979531186346911500f, + -0.201292461294039020f, + 0.979492570993820810f, -0.201480280345037730f, 0.979453919627588210f, + -0.201668091988182530f, + 0.979415232249634780f, -0.201855896216568050f, 0.979376508861383170f, + -0.202043693023289260f, + 0.979337749464256780f, -0.202231482401441450f, 0.979298954059681040f, + -0.202419264344120160f, + 0.979260122649082020f, -0.202607038844421130f, 0.979221255233887700f, + -0.202794805895440440f, + 0.979182351815526930f, -0.202982565490274440f, 0.979143412395430230f, + -0.203170317622019790f, + 0.979104436975029250f, -0.203358062283773320f, 0.979065425555756930f, + -0.203545799468632190f, + 0.979026378139047580f, -0.203733529169693920f, 0.978987294726337050f, + -0.203921251380056120f, + 0.978948175319062200f, -0.204108966092816870f, 0.978909019918661310f, + -0.204296673301074370f, + 0.978869828526574120f, -0.204484372997927240f, 0.978830601144241470f, + -0.204672065176474210f, + 0.978791337773105670f, -0.204859749829814420f, 0.978752038414610340f, + -0.205047426951047250f, + 0.978712703070200420f, -0.205235096533272350f, 0.978673331741322210f, + -0.205422758569589610f, + 0.978633924429423210f, -0.205610413053099240f, 0.978594481135952270f, + -0.205798059976901790f, + 0.978555001862359550f, -0.205985699334097910f, 0.978515486610096910f, + -0.206173331117788710f, + 0.978475935380616830f, -0.206360955321075510f, 0.978436348175373730f, + -0.206548571937059890f, + 0.978396724995823090f, -0.206736180958843690f, 0.978357065843421640f, + -0.206923782379529100f, + 0.978317370719627650f, -0.207111376192218560f, 0.978277639625900530f, + -0.207298962390014750f, + 0.978237872563701090f, -0.207486540966020650f, 0.978198069534491400f, + -0.207674111913339570f, + 0.978158230539735050f, -0.207861675225075070f, 0.978118355580896660f, + -0.208049230894330940f, + 0.978078444659442380f, -0.208236778914211330f, 0.978038497776839600f, + -0.208424319277820600f, + 0.977998514934557140f, -0.208611851978263490f, 0.977958496134064830f, + -0.208799377008644900f, + 0.977918441376834370f, -0.208986894362070070f, 0.977878350664338150f, + -0.209174404031644580f, + 0.977838223998050430f, -0.209361906010474160f, 0.977798061379446360f, + -0.209549400291664940f, + 0.977757862810002760f, -0.209736886868323290f, 0.977717628291197460f, + -0.209924365733555880f, + 0.977677357824509930f, -0.210111836880469610f, 0.977637051411420770f, + -0.210299300302171730f, + 0.977596709053411890f, -0.210486755991769720f, 0.977556330751966460f, + -0.210674203942371440f, + 0.977515916508569280f, -0.210861644147084860f, 0.977475466324706170f, + -0.211049076599018390f, + 0.977434980201864260f, -0.211236501291280710f, 0.977394458141532250f, + -0.211423918216980670f, + 0.977353900145199960f, -0.211611327369227550f, 0.977313306214358750f, + -0.211798728741130840f, + 0.977272676350500860f, -0.211986122325800330f, 0.977232010555120320f, + -0.212173508116346080f, + 0.977191308829712280f, -0.212360886105878420f, 0.977150571175773200f, + -0.212548256287508060f, + 0.977109797594800880f, -0.212735618654345930f, 0.977068988088294450f, + -0.212922973199503180f, + 0.977028142657754390f, -0.213110319916091360f, 0.976987261304682390f, + -0.213297658797222320f, + 0.976946344030581670f, -0.213484989836008050f, 0.976905390836956490f, + -0.213672313025560970f, + 0.976864401725312640f, -0.213859628358993750f, 0.976823376697157240f, + -0.214046935829419360f, + 0.976782315753998650f, -0.214234235429950990f, 0.976741218897346550f, + -0.214421527153702160f, + 0.976700086128711840f, -0.214608810993786760f, 0.976658917449606980f, + -0.214796086943318860f, + 0.976617712861545640f, -0.214983354995412820f, 0.976576472366042610f, + -0.215170615143183390f, + 0.976535195964614470f, -0.215357867379745550f, 0.976493883658778650f, + -0.215545111698214500f, + 0.976452535450054060f, -0.215732348091705880f, 0.976411151339961040f, + -0.215919576553335490f, + 0.976369731330021140f, -0.216106797076219520f, 0.976328275421757260f, + -0.216294009653474340f, + 0.976286783616693630f, -0.216481214278216730f, 0.976245255916355800f, + -0.216668410943563730f, + 0.976203692322270560f, -0.216855599642632620f, 0.976162092835966110f, + -0.217042780368540990f, + 0.976120457458971910f, -0.217229953114406790f, 0.976078786192818850f, + -0.217417117873348190f, + 0.976037079039039020f, -0.217604274638483640f, 0.975995335999165990f, + -0.217791423402931950f, + 0.975953557074734300f, -0.217978564159812200f, 0.975911742267280170f, + -0.218165696902243800f, + 0.975869891578341030f, -0.218352821623346320f, 0.975828005009455660f, + -0.218539938316239770f, + 0.975786082562163930f, -0.218727046974044440f, 0.975744124238007270f, + -0.218914147589880840f, + 0.975702130038528570f, -0.219101240156869800f, 0.975660099965271590f, + -0.219288324668132470f, + 0.975618034019781750f, -0.219475401116790310f, 0.975575932203605720f, + -0.219662469495965050f, + 0.975533794518291360f, -0.219849529798778700f, 0.975491620965388110f, + -0.220036582018353580f, + 0.975449411546446380f, -0.220223626147812380f, 0.975407166263018270f, + -0.220410662180277940f, + 0.975364885116656980f, -0.220597690108873510f, 0.975322568108916930f, + -0.220784709926722610f, + 0.975280215241354220f, -0.220971721626949110f, 0.975237826515525820f, + -0.221158725202677010f, + 0.975195401932990370f, -0.221345720647030810f, 0.975152941495307620f, + -0.221532707953135230f, + 0.975110445204038890f, -0.221719687114115220f, 0.975067913060746470f, + -0.221906658123096100f, + 0.975025345066994120f, -0.222093620973203510f, 0.974982741224347140f, + -0.222280575657563370f, + 0.974940101534371830f, -0.222467522169301880f, 0.974897425998635820f, + -0.222654460501545500f, + 0.974854714618708430f, -0.222841390647421120f, 0.974811967396159830f, + -0.223028312600055820f, + 0.974769184332561770f, -0.223215226352576980f, 0.974726365429487320f, + -0.223402131898112370f, + 0.974683510688510670f, -0.223589029229789990f, 0.974640620111207560f, + -0.223775918340738150f, + 0.974597693699155050f, -0.223962799224085460f, 0.974554731453931230f, + -0.224149671872960870f, + 0.974511733377115720f, -0.224336536280493600f, 0.974468699470289580f, + -0.224523392439813170f, + 0.974425629735034990f, -0.224710240344049430f, 0.974382524172935470f, + -0.224897079986332490f, + 0.974339382785575860f, -0.225083911359792830f, 0.974296205574542440f, + -0.225270734457561160f, + 0.974252992541422500f, -0.225457549272768540f, 0.974209743687805220f, + -0.225644355798546330f, + 0.974166459015280320f, -0.225831154028026170f, 0.974123138525439640f, + -0.226017943954340020f, + 0.974079782219875680f, -0.226204725570620190f, 0.974036390100182610f, + -0.226391498869999240f, + 0.973992962167955830f, -0.226578263845610000f, 0.973949498424792170f, + -0.226765020490585690f, + 0.973905998872289570f, -0.226951768798059810f, 0.973862463512047300f, + -0.227138508761166170f, + 0.973818892345666100f, -0.227325240373038860f, 0.973775285374748110f, + -0.227511963626812280f, + 0.973731642600896400f, -0.227698678515621170f, 0.973687964025715670f, + -0.227885385032600530f, + 0.973644249650811980f, -0.228072083170885730f, 0.973600499477792370f, + -0.228258772923612380f, + 0.973556713508265560f, -0.228445454283916470f, 0.973512891743841370f, + -0.228632127244934230f, + 0.973469034186131070f, -0.228818791799802220f, 0.973425140836747030f, + -0.229005447941657340f, + 0.973381211697303290f, -0.229192095663636770f, 0.973337246769414910f, + -0.229378734958878010f, + 0.973293246054698250f, -0.229565365820518870f, 0.973249209554771230f, + -0.229751988241697490f, + 0.973205137271252800f, -0.229938602215552210f, 0.973161029205763530f, + -0.230125207735221850f, + 0.973116885359925130f, -0.230311804793845440f, 0.973072705735360530f, + -0.230498393384562350f, + 0.973028490333694210f, -0.230684973500512200f, 0.972984239156551740f, + -0.230871545134835020f, + 0.972939952205560180f, -0.231058108280671110f, 0.972895629482347760f, + -0.231244662931161050f, + 0.972851270988544180f, -0.231431209079445750f, 0.972806876725780370f, + -0.231617746718666470f, + 0.972762446695688570f, -0.231804275841964780f, 0.972717980899902250f, + -0.231990796442482440f, + 0.972673479340056430f, -0.232177308513361710f, 0.972628942017787270f, + -0.232363812047745030f, + 0.972584368934732210f, -0.232550307038775240f, 0.972539760092530180f, + -0.232736793479595390f, + 0.972495115492821190f, -0.232923271363348980f, 0.972450435137246830f, + -0.233109740683179690f, + 0.972405719027449770f, -0.233296201432231590f, 0.972360967165074140f, + -0.233482653603649090f, + 0.972316179551765300f, -0.233669097190576820f, 0.972271356189170040f, + -0.233855532186159840f, + 0.972226497078936270f, -0.234041958583543430f, 0.972181602222713440f, + -0.234228376375873210f, + 0.972136671622152230f, -0.234414785556295160f, 0.972091705278904430f, + -0.234601186117955550f, + 0.972046703194623500f, -0.234787578054000970f, 0.972001665370963890f, + -0.234973961357578250f, + 0.971956591809581720f, -0.235160336021834730f, 0.971911482512134000f, + -0.235346702039917840f, + 0.971866337480279400f, -0.235533059404975490f, 0.971821156715677700f, + -0.235719408110155820f, + 0.971775940219990140f, -0.235905748148607370f, 0.971730687994879160f, + -0.236092079513478910f, + 0.971685400042008540f, -0.236278402197919570f, 0.971640076363043390f, + -0.236464716195078780f, + 0.971594716959650160f, -0.236651021498106380f, 0.971549321833496630f, + -0.236837318100152380f, + 0.971503890986251780f, -0.237023605994367200f, 0.971458424419585960f, + -0.237209885173901600f, + 0.971412922135170940f, -0.237396155631906610f, 0.971367384134679490f, + -0.237582417361533570f, + 0.971321810419786160f, -0.237768670355934190f, 0.971276200992166490f, + -0.237954914608260540f, + 0.971230555853497380f, -0.238141150111664840f, 0.971184875005457030f, + -0.238327376859299810f, + 0.971139158449725090f, -0.238513594844318420f, 0.971093406187982460f, + -0.238699804059873980f, + 0.971047618221911100f, -0.238886004499120040f, 0.971001794553194690f, + -0.239072196155210610f, + 0.970955935183517970f, -0.239258379021299980f, 0.970910040114567050f, + -0.239444553090542630f, + 0.970864109348029470f, -0.239630718356093560f, 0.970818142885593870f, + -0.239816874811108000f, + 0.970772140728950350f, -0.240003022448741500f, 0.970726102879790110f, + -0.240189161262149900f, + 0.970680029339806130f, -0.240375291244489450f, 0.970633920110692160f, + -0.240561412388916650f, + 0.970587775194143630f, -0.240747524688588430f, 0.970541594591857070f, + -0.240933628136661910f, + 0.970495378305530560f, -0.241119722726294590f, 0.970449126336863090f, + -0.241305808450644370f, + 0.970402838687555500f, -0.241491885302869330f, 0.970356515359309450f, + -0.241677953276128010f, + 0.970310156353828110f, -0.241864012363579180f, 0.970263761672816140f, + -0.242050062558382070f, + 0.970217331317979160f, -0.242236103853696010f, 0.970170865291024480f, + -0.242422136242680890f, + 0.970124363593660280f, -0.242608159718496810f, 0.970077826227596420f, + -0.242794174274304220f, + 0.970031253194543970f, -0.242980179903263870f, 0.969984644496215240f, + -0.243166176598536900f, + 0.969938000134323960f, -0.243352164353284740f, 0.969891320110585100f, + -0.243538143160669130f, + 0.969844604426714830f, -0.243724113013852160f, 0.969797853084430890f, + -0.243910073905996260f, + 0.969751066085452140f, -0.244096025830264210f, 0.969704243431498860f, + -0.244281968779819030f, + 0.969657385124292450f, -0.244467902747824150f, 0.969610491165555870f, + -0.244653827727443320f, + 0.969563561557013180f, -0.244839743711840670f, 0.969516596300390000f, + -0.245025650694180470f, + 0.969469595397413060f, -0.245211548667627540f, 0.969422558849810320f, + -0.245397437625346960f, + 0.969375486659311280f, -0.245583317560504060f, 0.969328378827646660f, + -0.245769188466264580f, + 0.969281235356548530f, -0.245955050335794590f, 0.969234056247750050f, + -0.246140903162260530f, + 0.969186841502985950f, -0.246326746938829030f, 0.969139591123992280f, + -0.246512581658667210f, + 0.969092305112506210f, -0.246698407314942410f, 0.969044983470266240f, + -0.246884223900822430f, + 0.968997626199012420f, -0.247070031409475250f, 0.968950233300485800f, + -0.247255829834069300f, + 0.968902804776428870f, -0.247441619167773270f, 0.968855340628585580f, + -0.247627399403756280f, + 0.968807840858700970f, -0.247813170535187670f, 0.968760305468521430f, + -0.247998932555237110f, + 0.968712734459794780f, -0.248184685457074780f, 0.968665127834270060f, + -0.248370429233870980f, + 0.968617485593697540f, -0.248556163878796560f, 0.968569807739828930f, + -0.248741889385022480f, + 0.968522094274417380f, -0.248927605745720150f, 0.968474345199216820f, + -0.249113312954061360f, + 0.968426560515983190f, -0.249299011003218190f, 0.968378740226473300f, + -0.249484699886362960f, + 0.968330884332445190f, -0.249670379596668550f, 0.968282992835658660f, + -0.249856050127307990f, + 0.968235065737874320f, -0.250041711471454650f, 0.968187103040854420f, + -0.250227363622282370f, + 0.968139104746362440f, -0.250413006572965220f, 0.968091070856162970f, + -0.250598640316677670f, + 0.968043001372022260f, -0.250784264846594500f, 0.967994896295707670f, + -0.250969880155890720f, + 0.967946755628987800f, -0.251155486237741920f, 0.967898579373632660f, + -0.251341083085323880f, + 0.967850367531413620f, -0.251526670691812610f, 0.967802120104103270f, + -0.251712249050384700f, + 0.967753837093475510f, -0.251897818154216970f, 0.967705518501305480f, + -0.252083377996486450f, + 0.967657164329369880f, -0.252268928570370810f, 0.967608774579446500f, + -0.252454469869047740f, + 0.967560349253314360f, -0.252640001885695520f, 0.967511888352754150f, + -0.252825524613492610f, + 0.967463391879547550f, -0.253011038045617860f, 0.967414859835477480f, + -0.253196542175250560f, + 0.967366292222328510f, -0.253382036995570160f, 0.967317689041886310f, + -0.253567522499756560f, + 0.967269050295937790f, -0.253752998680989990f, 0.967220375986271420f, + -0.253938465532451090f, + 0.967171666114676640f, -0.254123923047320620f, 0.967122920682944360f, + -0.254309371218780000f, + 0.967074139692867040f, -0.254494810040010730f, 0.967025323146238010f, + -0.254680239504194830f, + 0.966976471044852070f, -0.254865659604514570f, 0.966927583390505660f, + -0.255051070334152470f, + 0.966878660184995910f, -0.255236471686291710f, 0.966829701430121810f, + -0.255421863654115460f, + 0.966780707127683270f, -0.255607246230807380f, 0.966731677279481840f, + -0.255792619409551610f, + 0.966682611887320080f, -0.255977983183532430f, 0.966633510953002100f, + -0.256163337545934460f, + 0.966584374478333120f, -0.256348682489942910f, 0.966535202465119700f, + -0.256534018008743040f, + 0.966485994915169840f, -0.256719344095520660f, 0.966436751830292650f, + -0.256904660743461910f, + 0.966387473212298900f, -0.257089967945753120f, 0.966338159063000130f, + -0.257275265695581120f, + 0.966288809384209690f, -0.257460553986133100f, 0.966239424177741890f, + -0.257645832810596390f, + 0.966190003445412500f, -0.257831102162158990f, 0.966140547189038750f, + -0.258016362034009020f, + 0.966091055410438830f, -0.258201612419334870f, 0.966041528111432400f, + -0.258386853311325600f, + 0.965991965293840570f, -0.258572084703170340f, 0.965942366959485540f, + -0.258757306588058680f, + 0.965892733110190860f, -0.258942518959180520f, 0.965843063747781510f, + -0.259127721809726150f, + 0.965793358874083680f, -0.259312915132886230f, 0.965743618490924830f, + -0.259498098921851660f, + 0.965693842600133690f, -0.259683273169813770f, 0.965644031203540590f, + -0.259868437869964270f, + 0.965594184302976830f, -0.260053593015495190f, 0.965544301900275180f, + -0.260238738599598840f, + 0.965494383997269500f, -0.260423874615468010f, 0.965444430595795430f, + -0.260609001056295750f, + 0.965394441697689400f, -0.260794117915275510f, 0.965344417304789370f, + -0.260979225185601070f, + 0.965294357418934660f, -0.261164322860466480f, 0.965244262041965780f, + -0.261349410933066350f, + 0.965194131175724720f, -0.261534489396595520f, 0.965143964822054450f, + -0.261719558244249030f, + 0.965093762982799590f, -0.261904617469222610f, 0.965043525659805890f, + -0.262089667064712040f, + 0.964993252854920320f, -0.262274707023913590f, 0.964942944569991410f, + -0.262459737340023980f, + 0.964892600806868890f, -0.262644758006240040f, 0.964842221567403620f, + -0.262829769015759160f, + 0.964791806853447900f, -0.263014770361779000f, 0.964741356666855340f, + -0.263199762037497560f, + 0.964690871009481030f, -0.263384744036113280f, 0.964640349883180930f, + -0.263569716350824880f, + 0.964589793289812760f, -0.263754678974831350f, 0.964539201231235150f, + -0.263939631901332350f, + 0.964488573709308410f, -0.264124575123527550f, 0.964437910725893910f, + -0.264309508634617110f, + 0.964387212282854290f, -0.264494432427801630f, 0.964336478382053720f, + -0.264679346496281890f, + 0.964285709025357480f, -0.264864250833259260f, 0.964234904214632200f, + -0.265049145431935250f, + 0.964184063951745830f, -0.265234030285511790f, 0.964133188238567640f, + -0.265418905387191260f, + 0.964082277076968140f, -0.265603770730176330f, 0.964031330468819280f, + -0.265788626307669920f, + 0.963980348415994110f, -0.265973472112875590f, 0.963929330920367140f, + -0.266158308138996990f, + 0.963878277983814200f, -0.266343134379238180f, 0.963827189608212340f, + -0.266527950826803690f, + 0.963776065795439840f, -0.266712757474898370f, 0.963724906547376530f, + -0.266897554316727350f, + 0.963673711865903230f, -0.267082341345496300f, 0.963622481752902220f, + -0.267267118554410930f, + 0.963571216210257320f, -0.267451885936677620f, 0.963519915239853140f, + -0.267636643485503090f, + 0.963468578843575950f, -0.267821391194094150f, 0.963417207023313350f, + -0.268006129055658290f, + 0.963365799780954050f, -0.268190857063403180f, 0.963314357118388200f, + -0.268375575210536900f, + 0.963262879037507070f, -0.268560283490267890f, 0.963211365540203480f, + -0.268744981895804980f, + 0.963159816628371360f, -0.268929670420357260f, 0.963108232303906190f, + -0.269114349057134380f, + 0.963056612568704340f, -0.269299017799346120f, 0.963004957424663850f, + -0.269483676640202840f, + 0.962953266873683880f, -0.269668325572915090f, 0.962901540917665000f, + -0.269852964590693860f, + 0.962849779558509030f, -0.270037593686750570f, 0.962797982798119010f, + -0.270222212854296870f, + 0.962746150638399410f, -0.270406822086544820f, 0.962694283081255930f, + -0.270591421376706940f, + 0.962642380128595710f, -0.270776010717996010f, 0.962590441782326890f, + -0.270960590103625170f, + 0.962538468044359160f, -0.271145159526808010f, 0.962486458916603450f, + -0.271329718980758420f, + 0.962434414400972100f, -0.271514268458690700f, 0.962382334499378380f, + -0.271698807953819510f, + 0.962330219213737400f, -0.271883337459359720f, 0.962278068545965090f, + -0.272067856968526920f, + 0.962225882497979020f, -0.272252366474536710f, 0.962173661071697880f, + -0.272436865970605240f, + 0.962121404269041580f, -0.272621355449948980f, 0.962069112091931580f, + -0.272805834905784810f, + 0.962016784542290560f, -0.272990304331329920f, 0.961964421622042320f, + -0.273174763719801930f, + 0.961912023333112210f, -0.273359213064418680f, 0.961859589677426570f, + -0.273543652358398730f, + 0.961807120656913540f, -0.273728081594960540f, 0.961754616273502010f, + -0.273912500767323260f, + 0.961702076529122540f, -0.274096909868706380f, 0.961649501425706820f, + -0.274281308892329660f, + 0.961596890965187860f, -0.274465697831413220f, 0.961544245149499990f, + -0.274650076679177680f, + 0.961491563980579000f, -0.274834445428843940f, 0.961438847460361680f, + -0.275018804073633220f, + 0.961386095590786250f, -0.275203152606767310f, 0.961333308373792270f, + -0.275387491021468140f, + 0.961280485811320640f, -0.275571819310958140f, 0.961227627905313460f, + -0.275756137468460120f, + 0.961174734657714080f, -0.275940445487197150f, 0.961121806070467380f, + -0.276124743360392830f, + 0.961068842145519350f, -0.276309031081271080f, 0.961015842884817230f, + -0.276493308643055990f, + 0.960962808290309780f, -0.276677576038972420f, 0.960909738363946770f, + -0.276861833262245280f, + 0.960856633107679660f, -0.277046080306099900f, 0.960803492523460760f, + -0.277230317163762170f, + 0.960750316613243950f, -0.277414543828458090f, 0.960697105378984450f, + -0.277598760293414290f, + 0.960643858822638590f, -0.277782966551857690f, 0.960590576946164120f, + -0.277967162597015370f, + 0.960537259751520050f, -0.278151348422115090f, 0.960483907240666790f, + -0.278335524020384920f, + 0.960430519415565790f, -0.278519689385053060f, 0.960377096278180130f, + -0.278703844509348490f, + 0.960323637830473920f, -0.278887989386500280f, 0.960270144074412800f, + -0.279072124009737800f, + 0.960216615011963430f, -0.279256248372291180f, 0.960163050645094000f, + -0.279440362467390510f, + 0.960109450975773940f, -0.279624466288266590f, 0.960055816005973890f, + -0.279808559828150390f, + 0.960002145737665960f, -0.279992643080273220f, 0.959948440172823210f, + -0.280176716037866980f, + 0.959894699313420530f, -0.280360778694163810f, 0.959840923161433770f, + -0.280544831042396250f, + 0.959787111718839900f, -0.280728873075797190f, 0.959733264987617680f, + -0.280912904787600000f, + 0.959679382969746750f, -0.281096926171038260f, 0.959625465667208190f, + -0.281280937219346110f, + 0.959571513081984520f, -0.281464937925757940f, 0.959517525216059260f, + -0.281648928283508630f, + 0.959463502071417510f, -0.281832908285833350f, 0.959409443650045550f, + -0.282016877925967640f, + 0.959355349953930790f, -0.282200837197147560f, 0.959301220985062210f, + -0.282384786092609360f, + 0.959247056745430090f, -0.282568724605589740f, 0.959192857237025740f, + -0.282752652729325930f, + 0.959138622461841890f, -0.282936570457055390f, 0.959084352421872730f, + -0.283120477782015820f, + 0.959030047119113660f, -0.283304374697445740f, 0.958975706555561080f, + -0.283488261196583550f, + 0.958921330733213170f, -0.283672137272668430f, 0.958866919654069010f, + -0.283856002918939750f, + 0.958812473320129310f, -0.284039858128637190f, 0.958757991733395710f, + -0.284223702895001040f, + 0.958703474895871600f, -0.284407537211271880f, 0.958648922809561150f, + -0.284591361070690440f, + 0.958594335476470220f, -0.284775174466498300f, 0.958539712898605730f, + -0.284958977391937040f, + 0.958485055077976100f, -0.285142769840248670f, 0.958430362016590930f, + -0.285326551804675870f, + 0.958375633716461170f, -0.285510323278461260f, 0.958320870179598880f, + -0.285694084254848320f, + 0.958266071408017670f, -0.285877834727080620f, 0.958211237403732260f, + -0.286061574688402040f, + 0.958156368168758820f, -0.286245304132057120f, 0.958101463705114730f, + -0.286429023051290700f, + 0.958046524014818600f, -0.286612731439347790f, 0.957991549099890370f, + -0.286796429289474080f, + 0.957936538962351420f, -0.286980116594915570f, 0.957881493604224370f, + -0.287163793348918390f, + 0.957826413027532910f, -0.287347459544729510f, 0.957771297234302320f, + -0.287531115175595930f, + 0.957716146226558870f, -0.287714760234765170f, 0.957660960006330610f, + -0.287898394715485170f, + 0.957605738575646350f, -0.288082018611004130f, 0.957550481936536470f, + -0.288265631914570770f, + 0.957495190091032570f, -0.288449234619434220f, 0.957439863041167680f, + -0.288632826718843830f, + 0.957384500788975860f, -0.288816408206049480f, 0.957329103336492790f, + -0.288999979074301420f, + 0.957273670685755200f, -0.289183539316850200f, 0.957218202838801210f, + -0.289367088926947010f, + 0.957162699797670210f, -0.289550627897843030f, 0.957107161564402790f, + -0.289734156222790250f, + 0.957051588141040970f, -0.289917673895040750f, 0.956995979529628230f, + -0.290101180907847090f, + 0.956940335732208820f, -0.290284677254462330f, 0.956884656750828900f, + -0.290468162928139820f, + 0.956828942587535370f, -0.290651637922133220f, 0.956773193244376930f, + -0.290835102229696830f, + 0.956717408723403050f, -0.291018555844085090f, 0.956661589026665090f, + -0.291201998758552900f, + 0.956605734156215080f, -0.291385430966355660f, 0.956549844114106820f, + -0.291568852460749040f, + 0.956493918902395100f, -0.291752263234989260f, 0.956437958523136180f, + -0.291935663282332780f, + 0.956381962978387730f, -0.292119052596036380f, 0.956325932270208230f, + -0.292302431169357560f, + 0.956269866400658030f, -0.292485798995553880f, 0.956213765371798470f, + -0.292669156067883460f, + 0.956157629185692140f, -0.292852502379604810f, 0.956101457844403040f, + -0.293035837923976810f, + 0.956045251349996410f, -0.293219162694258630f, 0.955989009704538930f, + -0.293402476683710110f, + 0.955932732910098280f, -0.293585779885591200f, 0.955876420968743590f, + -0.293769072293162400f, + 0.955820073882545420f, -0.293952353899684660f, 0.955763691653575440f, + -0.294135624698419030f, + 0.955707274283906560f, -0.294318884682627400f, 0.955650821775613330f, + -0.294502133845571670f, + 0.955594334130771110f, -0.294685372180514330f, 0.955537811351456880f, + -0.294868599680718270f, + 0.955481253439748770f, -0.295051816339446720f, 0.955424660397726330f, + -0.295235022149963220f, + 0.955368032227470350f, -0.295418217105532010f, 0.955311368931062720f, + -0.295601401199417360f, + 0.955254670510586990f, -0.295784574424884260f, 0.955197936968127710f, + -0.295967736775197890f, + 0.955141168305770780f, -0.296150888243623790f, 0.955084364525603410f, + -0.296334028823428190f, + 0.955027525629714160f, -0.296517158507877470f, 0.954970651620192790f, + -0.296700277290238350f, + 0.954913742499130520f, -0.296883385163778270f, 0.954856798268619580f, + -0.297066482121764730f, + 0.954799818930753720f, -0.297249568157465840f, 0.954742804487627940f, + -0.297432643264150030f, + 0.954685754941338340f, -0.297615707435086200f, 0.954628670293982680f, + -0.297798760663543550f, + 0.954571550547659630f, -0.297981802942791810f, 0.954514395704469500f, + -0.298164834266100850f, + 0.954457205766513490f, -0.298347854626741400f, 0.954399980735894490f, + -0.298530864017984120f, + 0.954342720614716480f, -0.298713862433100330f, 0.954285425405084650f, + -0.298896849865361800f, + 0.954228095109105670f, -0.299079826308040480f, 0.954170729728887280f, + -0.299262791754408840f, + 0.954113329266538800f, -0.299445746197739890f, 0.954055893724170660f, + -0.299628689631306790f, + 0.953998423103894490f, -0.299811622048383350f, 0.953940917407823500f, + -0.299994543442243580f, + 0.953883376638071770f, -0.300177453806161950f, 0.953825800796755050f, + -0.300360353133413530f, + 0.953768189885990330f, -0.300543241417273450f, 0.953710543907895670f, + -0.300726118651017500f, + 0.953652862864590500f, -0.300908984827921890f, 0.953595146758195680f, + -0.301091839941263100f, + 0.953537395590833280f, -0.301274683984317950f, 0.953479609364626610f, + -0.301457516950363940f, + 0.953421788081700310f, -0.301640338832678770f, 0.953363931744180330f, + -0.301823149624540650f, + 0.953306040354193860f, -0.302005949319228080f, 0.953248113913869320f, + -0.302188737910019990f, + 0.953190152425336670f, -0.302371515390195970f, 0.953132155890726750f, + -0.302554281753035610f, + 0.953074124312172200f, -0.302737036991819140f, 0.953016057691806530f, + -0.302919781099827310f, + 0.952957956031764700f, -0.303102514070341060f, 0.952899819334182880f, + -0.303285235896641750f, + 0.952841647601198720f, -0.303467946572011320f, 0.952783440834950920f, + -0.303650646089731910f, + 0.952725199037579570f, -0.303833334443086360f, 0.952666922211226170f, + -0.304016011625357570f, + 0.952608610358033350f, -0.304198677629829110f, 0.952550263480144930f, + -0.304381332449784880f, + 0.952491881579706320f, -0.304563976078509100f, 0.952433464658864030f, + -0.304746608509286530f, + 0.952375012719765880f, -0.304929229735402370f, 0.952316525764560940f, + -0.305111839750142110f, + 0.952258003795399600f, -0.305294438546791670f, 0.952199446814433580f, + -0.305477026118637420f, + 0.952140854823815830f, -0.305659602458966120f, 0.952082227825700620f, + -0.305842167561065080f, + 0.952023565822243570f, -0.306024721418221790f, 0.951964868815601380f, + -0.306207264023724220f, + 0.951906136807932350f, -0.306389795370860920f, 0.951847369801395620f, + -0.306572315452920740f, + 0.951788567798152130f, -0.306754824263192780f, 0.951729730800363830f, + -0.306937321794966910f, + 0.951670858810193860f, -0.307119808041533100f, 0.951611951829806850f, + -0.307302282996181790f, + 0.951553009861368590f, -0.307484746652204100f, 0.951494032907046370f, + -0.307667199002891190f, + 0.951435020969008340f, -0.307849640041534870f, 0.951375974049424420f, + -0.308032069761427330f, + 0.951316892150465550f, -0.308214488155861050f, 0.951257775274304000f, + -0.308396895218129190f, + 0.951198623423113230f, -0.308579290941525090f, 0.951139436599068190f, + -0.308761675319342450f, + 0.951080214804345010f, -0.308944048344875710f, 0.951020958041121080f, + -0.309126410011419440f, + 0.950961666311575080f, -0.309308760312268730f, 0.950902339617887060f, + -0.309491099240719100f, + 0.950842977962238160f, -0.309673426790066380f, 0.950783581346811070f, + -0.309855742953607070f, + 0.950724149773789610f, -0.310038047724637890f, 0.950664683245358910f, + -0.310220341096455850f, + 0.950605181763705340f, -0.310402623062358720f, 0.950545645331016600f, + -0.310584893615644450f, + 0.950486073949481700f, -0.310767152749611470f, 0.950426467621290900f, + -0.310949400457558640f, + 0.950366826348635780f, -0.311131636732785270f, 0.950307150133709260f, + -0.311313861568590920f, + 0.950247438978705230f, -0.311496074958275910f, 0.950187692885819280f, + -0.311678276895140550f, + 0.950127911857248100f, -0.311860467372486020f, 0.950068095895189590f, + -0.312042646383613510f, + 0.950008245001843000f, -0.312224813921824880f, 0.949948359179409010f, + -0.312406969980422440f, + 0.949888438430089300f, -0.312589114552708710f, 0.949828482756087110f, + -0.312771247631986770f, + 0.949768492159606680f, -0.312953369211560200f, 0.949708466642853800f, + -0.313135479284732840f, + 0.949648406208035480f, -0.313317577844809010f, 0.949588310857359950f, + -0.313499664885093510f, + 0.949528180593036670f, -0.313681740398891520f, 0.949468015417276550f, + -0.313863804379508500f, + 0.949407815332291570f, -0.314045856820250710f, 0.949347580340295210f, + -0.314227897714424440f, + 0.949287310443502120f, -0.314409927055336660f, 0.949227005644128210f, + -0.314591944836294660f, + 0.949166665944390700f, -0.314773951050606070f, 0.949106291346508260f, + -0.314955945691579140f, + 0.949045881852700560f, -0.315137928752522440f, 0.948985437465188710f, + -0.315319900226744890f, + 0.948924958186195160f, -0.315501860107555990f, 0.948864444017943340f, + -0.315683808388265650f, + 0.948803894962658490f, -0.315865745062183960f, 0.948743311022566480f, + -0.316047670122621860f, + 0.948682692199895090f, -0.316229583562890330f, 0.948622038496872990f, + -0.316411485376300980f, + 0.948561349915730270f, -0.316593375556165850f, 0.948500626458698260f, + -0.316775254095797270f, + 0.948439868128009620f, -0.316957120988508150f, 0.948379074925898120f, + -0.317138976227611780f, + 0.948318246854599090f, -0.317320819806421740f, 0.948257383916349060f, + -0.317502651718252260f, + 0.948196486113385580f, -0.317684471956417970f, 0.948135553447947980f, + -0.317866280514233660f, + 0.948074585922276230f, -0.318048077385014950f, 0.948013583538612200f, + -0.318229862562077530f, + 0.947952546299198670f, -0.318411636038737790f, 0.947891474206279840f, + -0.318593397808312420f, + 0.947830367262101010f, -0.318775147864118480f, 0.947769225468909180f, + -0.318956886199473650f, + 0.947708048828952100f, -0.319138612807695900f, 0.947646837344479300f, + -0.319320327682103610f, + 0.947585591017741090f, -0.319502030816015690f, 0.947524309850989570f, + -0.319683722202751430f, + 0.947462993846477700f, -0.319865401835630500f, 0.947401643006459900f, + -0.320047069707973140f, + 0.947340257333192050f, -0.320228725813099860f, 0.947278836828930880f, + -0.320410370144331820f, + 0.947217381495934820f, -0.320592002694990330f, 0.947155891336463270f, + -0.320773623458397330f, + 0.947094366352777220f, -0.320955232427875210f, 0.947032806547138620f, + -0.321136829596746660f, + 0.946971211921810880f, -0.321318414958334850f, 0.946909582479058760f, + -0.321499988505963510f, + 0.946847918221148000f, -0.321681550232956580f, 0.946786219150346000f, + -0.321863100132638580f, + 0.946724485268921170f, -0.322044638198334510f, 0.946662716579143360f, + -0.322226164423369600f, + 0.946600913083283530f, -0.322407678801069850f, 0.946539074783614100f, + -0.322589181324761330f, + 0.946477201682408680f, -0.322770671987770710f, 0.946415293781942110f, + -0.322952150783425260f, + 0.946353351084490590f, -0.323133617705052330f, 0.946291373592331620f, + -0.323315072745979980f, + 0.946229361307743820f, -0.323496515899536710f, 0.946167314233007370f, + -0.323677947159051240f, + 0.946105232370403450f, -0.323859366517852850f, 0.946043115722214560f, + -0.324040773969271450f, + 0.945980964290724760f, -0.324222169506636960f, 0.945918778078219110f, + -0.324403553123280230f, + 0.945856557086983910f, -0.324584924812532150f, 0.945794301319306970f, + -0.324766284567724220f, + 0.945732010777477150f, -0.324947632382188430f, 0.945669685463784710f, + -0.325128968249257080f, + 0.945607325380521280f, -0.325310292162262930f, 0.945544930529979680f, + -0.325491604114539310f, + 0.945482500914453740f, -0.325672904099419850f, 0.945420036536239070f, + -0.325854192110238580f, + 0.945357537397632290f, -0.326035468140330240f, 0.945295003500931210f, + -0.326216732183029710f, + 0.945232434848435000f, -0.326397984231672490f, 0.945169831442444150f, + -0.326579224279594400f, + 0.945107193285260610f, -0.326760452320131730f, 0.945044520379187070f, + -0.326941668346621420f, + 0.944981812726528150f, -0.327122872352400510f, 0.944919070329589220f, + -0.327304064330806670f, + 0.944856293190677210f, -0.327485244275178000f, 0.944793481312100280f, + -0.327666412178853120f, + 0.944730634696167800f, -0.327847568035170840f, 0.944667753345190490f, + -0.328028711837470680f, + 0.944604837261480260f, -0.328209843579092500f, 0.944541886447350490f, + -0.328390963253376580f, + 0.944478900905115550f, -0.328572070853663740f, 0.944415880637091250f, + -0.328753166373294990f, + 0.944352825645594750f, -0.328934249805612200f, 0.944289735932944410f, + -0.329115321143957250f, + 0.944226611501459810f, -0.329296380381672750f, 0.944163452353461770f, + -0.329477427512101740f, + 0.944100258491272660f, -0.329658462528587490f, 0.944037029917215830f, + -0.329839485424473940f, + 0.943973766633615980f, -0.330020496193105420f, 0.943910468642799150f, + -0.330201494827826570f, + 0.943847135947092690f, -0.330382481321982780f, 0.943783768548825060f, + -0.330563455668919540f, + 0.943720366450326200f, -0.330744417861982890f, 0.943656929653927220f, + -0.330925367894519540f, + 0.943593458161960390f, -0.331106305759876430f, 0.943529951976759480f, + -0.331287231451400820f, + 0.943466411100659320f, -0.331468144962440870f, 0.943402835535996240f, + -0.331649046286344670f, + 0.943339225285107720f, -0.331829935416461110f, 0.943275580350332540f, + -0.332010812346139380f, + 0.943211900734010620f, -0.332191677068729150f, 0.943148186438483420f, + -0.332372529577580620f, + 0.943084437466093490f, -0.332553369866044220f, 0.943020653819184650f, + -0.332734197927471050f, + 0.942956835500102120f, -0.332915013755212650f, 0.942892982511192250f, + -0.333095817342620780f, + 0.942829094854802710f, -0.333276608683047930f, 0.942765172533282510f, + -0.333457387769846850f, + 0.942701215548981900f, -0.333638154596370860f, 0.942637223904252530f, + -0.333818909155973620f, + 0.942573197601446870f, -0.333999651442009380f, 0.942509136642919240f, + -0.334180381447832690f, + 0.942445041031024890f, -0.334361099166798740f, 0.942380910768120470f, + -0.334541804592262900f, + 0.942316745856563780f, -0.334722497717581220f, 0.942252546298714020f, + -0.334903178536110180f, + 0.942188312096931770f, -0.335083847041206580f, 0.942124043253578570f, + -0.335264503226227810f, + 0.942059739771017310f, -0.335445147084531600f, 0.941995401651612550f, + -0.335625778609476290f, + 0.941931028897729620f, -0.335806397794420450f, 0.941866621511735280f, + -0.335987004632723350f, + 0.941802179495997650f, -0.336167599117744520f, 0.941737702852886160f, + -0.336348181242844050f, + 0.941673191584771360f, -0.336528751001382410f, 0.941608645694025250f, + -0.336709308386720580f, + 0.941544065183020810f, -0.336889853392220050f, 0.941479450054132580f, + -0.337070386011242620f, + 0.941414800309736340f, -0.337250906237150590f, 0.941350115952208970f, + -0.337431414063306840f, + 0.941285396983928660f, -0.337611909483074620f, 0.941220643407275180f, + -0.337792392489817460f, + 0.941155855224629190f, -0.337972863076899720f, 0.941091032438372780f, + -0.338153321237685930f, + 0.941026175050889260f, -0.338333766965541130f, 0.940961283064563280f, + -0.338514200253830940f, + 0.940896356481780830f, -0.338694621095921190f, 0.940831395304928870f, + -0.338875029485178450f, + 0.940766399536396070f, -0.339055425414969640f, 0.940701369178571940f, + -0.339235808878661950f, + 0.940636304233847590f, -0.339416179869623360f, 0.940571204704615190f, + -0.339596538381222110f, + 0.940506070593268300f, -0.339776884406826850f, 0.940440901902201750f, + -0.339957217939806880f, + 0.940375698633811540f, -0.340137538973531720f, 0.940310460790495070f, + -0.340317847501371670f, + 0.940245188374650880f, -0.340498143516697160f, 0.940179881388678920f, + -0.340678427012879200f, + 0.940114539834980280f, -0.340858697983289440f, 0.940049163715957370f, + -0.341038956421299720f, + 0.939983753034014050f, -0.341219202320282360f, 0.939918307791555050f, + -0.341399435673610420f, + 0.939852827990986680f, -0.341579656474657160f, 0.939787313634716570f, + -0.341759864716796310f, + 0.939721764725153340f, -0.341940060393402190f, 0.939656181264707180f, + -0.342120243497849530f, + 0.939590563255789270f, -0.342300414023513520f, 0.939524910700812230f, + -0.342480571963769800f, + 0.939459223602189920f, -0.342660717311994380f, 0.939393501962337510f, + -0.342840850061563950f, + 0.939327745783671400f, -0.343020970205855540f, 0.939261955068609210f, + -0.343201077738246540f, + 0.939196129819569900f, -0.343381172652115040f, 0.939130270038973650f, + -0.343561254940839390f, + 0.939064375729241950f, -0.343741324597798490f, 0.938998446892797540f, + -0.343921381616371700f, + 0.938932483532064600f, -0.344101425989938810f, 0.938866485649468060f, + -0.344281457711880180f, + 0.938800453247434770f, -0.344461476775576540f, 0.938734386328392460f, + -0.344641483174408960f, + 0.938668284894770170f, -0.344821476901759290f, 0.938602148948998400f, + -0.345001457951009670f, + 0.938535978493508560f, -0.345181426315542550f, 0.938469773530733800f, + -0.345361381988741220f, + 0.938403534063108060f, -0.345541324963989090f, 0.938337260093066950f, + -0.345721255234670120f, + 0.938270951623047190f, -0.345901172794168990f, 0.938204608655486490f, + -0.346081077635870430f, + 0.938138231192824360f, -0.346260969753160010f, 0.938071819237501270f, + -0.346440849139423520f, + 0.938005372791958840f, -0.346620715788047320f, 0.937938891858640320f, + -0.346800569692418290f, + 0.937872376439989890f, -0.346980410845923680f, 0.937805826538453120f, + -0.347160239241951160f, + 0.937739242156476970f, -0.347340054873889140f, 0.937672623296509470f, + -0.347519857735126110f, + 0.937605969960999990f, -0.347699647819051380f, 0.937539282152399230f, + -0.347879425119054510f, + 0.937472559873159250f, -0.348059189628525610f, 0.937405803125732960f, + -0.348238941340855260f, + 0.937339011912574960f, -0.348418680249434560f, 0.937272186236140950f, + -0.348598406347654930f, + 0.937205326098887960f, -0.348778119628908420f, 0.937138431503274140f, + -0.348957820086587490f, + 0.937071502451759190f, -0.349137507714084970f, 0.937004538946803690f, + -0.349317182504794380f, + 0.936937540990869900f, -0.349496844452109550f, 0.936870508586420960f, + -0.349676493549424760f, + 0.936803441735921560f, -0.349856129790134920f, 0.936736340441837620f, + -0.350035753167635240f, + 0.936669204706636170f, -0.350215363675321580f, 0.936602034532785570f, + -0.350394961306590150f, + 0.936534829922755500f, -0.350574546054837510f, 0.936467590879016990f, + -0.350754117913461060f, + 0.936400317404042060f, -0.350933676875858360f, 0.936333009500304180f, + -0.351113222935427460f, + 0.936265667170278260f, -0.351292756085567090f, 0.936198290416440090f, + -0.351472276319676310f, + 0.936130879241267030f, -0.351651783631154570f, 0.936063433647237540f, + -0.351831278013402030f, + 0.935995953636831410f, -0.352010759459819080f, 0.935928439212529660f, + -0.352190227963806830f, + 0.935860890376814640f, -0.352369683518766630f, 0.935793307132169900f, + -0.352549126118100460f, + 0.935725689481080370f, -0.352728555755210730f, 0.935658037426032040f, + -0.352907972423500250f, + 0.935590350969512370f, -0.353087376116372480f, 0.935522630114009930f, + -0.353266766827231240f, + 0.935454874862014620f, -0.353446144549480810f, 0.935387085216017770f, + -0.353625509276525970f, + 0.935319261178511610f, -0.353804861001772050f, 0.935251402751989920f, + -0.353984199718624770f, + 0.935183509938947610f, -0.354163525420490340f, 0.935115582741880890f, + -0.354342838100775550f, + 0.935047621163287430f, -0.354522137752887430f, 0.934979625205665800f, + -0.354701424370233830f, + 0.934911594871516090f, -0.354880697946222790f, 0.934843530163339540f, + -0.355059958474262860f, + 0.934775431083638700f, -0.355239205947763310f, 0.934707297634917440f, + -0.355418440360133650f, + 0.934639129819680780f, -0.355597661704783850f, 0.934570927640435030f, + -0.355776869975124640f, + 0.934502691099687870f, -0.355956065164566850f, 0.934434420199948050f, + -0.356135247266522130f, + 0.934366114943725790f, -0.356314416274402410f, 0.934297775333532530f, + -0.356493572181620090f, + 0.934229401371880820f, -0.356672714981588260f, 0.934160993061284530f, + -0.356851844667720300f, + 0.934092550404258980f, -0.357030961233429980f, 0.934024073403320390f, + -0.357210064672131960f, + 0.933955562060986730f, -0.357389154977240940f, 0.933887016379776890f, + -0.357568232142172260f, + 0.933818436362210960f, -0.357747296160341900f, 0.933749822010810580f, + -0.357926347025166010f, + 0.933681173328098410f, -0.358105384730061590f, 0.933612490316598540f, + -0.358284409268445850f, + 0.933543772978836170f, -0.358463420633736540f, 0.933475021317337950f, + -0.358642418819351990f, + 0.933406235334631520f, -0.358821403818710860f, 0.933337415033246190f, + -0.359000375625232460f, + 0.933268560415712050f, -0.359179334232336500f, 0.933199671484560730f, + -0.359358279633443130f, + 0.933130748242325230f, -0.359537211821973070f, 0.933061790691539380f, + -0.359716130791347570f, + 0.932992798834738960f, -0.359895036534988110f, 0.932923772674460140f, + -0.360073929046317020f, + 0.932854712213241120f, -0.360252808318756890f, 0.932785617453621100f, + -0.360431674345730700f, + 0.932716488398140250f, -0.360610527120662270f, 0.932647325049340450f, + -0.360789366636975580f, + 0.932578127409764420f, -0.360968192888095230f, 0.932508895481956590f, + -0.361147005867446250f, + 0.932439629268462360f, -0.361325805568454280f, 0.932370328771828460f, + -0.361504591984545260f, + 0.932300993994602760f, -0.361683365109145840f, 0.932231624939334540f, + -0.361862124935682980f, + 0.932162221608574430f, -0.362040871457584180f, 0.932092784004874050f, + -0.362219604668277460f, + 0.932023312130786490f, -0.362398324561191310f, 0.931953805988866010f, + -0.362577031129754760f, + 0.931884265581668150f, -0.362755724367397230f, 0.931814690911749730f, + -0.362934404267548640f, + 0.931745081981668720f, -0.363113070823639470f, 0.931675438793984620f, + -0.363291724029100760f, + 0.931605761351257830f, -0.363470363877363760f, 0.931536049656050300f, + -0.363648990361860550f, + 0.931466303710925090f, -0.363827603476023500f, 0.931396523518446600f, + -0.364006203213285470f, + 0.931326709081180430f, -0.364184789567079890f, 0.931256860401693420f, + -0.364363362530840620f, + 0.931186977482553750f, -0.364541922098002120f, 0.931117060326330790f, + -0.364720468261999280f, + 0.931047108935595280f, -0.364899001016267320f, 0.930977123312918930f, + -0.365077520354242180f, + 0.930907103460875130f, -0.365256026269360320f, 0.930837049382038150f, + -0.365434518755058390f, + 0.930766961078983710f, -0.365612997804773850f, 0.930696838554288860f, + -0.365791463411944570f, + 0.930626681810531760f, -0.365969915570008740f, 0.930556490850291800f, + -0.366148354272405330f, + 0.930486265676149780f, -0.366326779512573590f, 0.930416006290687550f, + -0.366505191283953370f, + 0.930345712696488470f, -0.366683589579984930f, 0.930275384896137150f, + -0.366861974394109060f, + 0.930205022892219070f, -0.367040345719767180f, 0.930134626687321390f, + -0.367218703550400980f, + 0.930064196284032360f, -0.367397047879452710f, 0.929993731684941480f, + -0.367575378700365330f, + 0.929923232892639670f, -0.367753696006581980f, 0.929852699909718750f, + -0.367931999791546450f, + 0.929782132738772190f, -0.368110290048703050f, 0.929711531382394370f, + -0.368288566771496570f, + 0.929640895843181330f, -0.368466829953372320f, 0.929570226123729860f, + -0.368645079587776040f, + 0.929499522226638560f, -0.368823315668153910f, 0.929428784154506800f, + -0.369001538187952780f, + 0.929358011909935500f, -0.369179747140620020f, 0.929287205495526790f, + -0.369357942519603130f, + 0.929216364913884040f, -0.369536124318350650f, 0.929145490167611720f, + -0.369714292530311240f, + 0.929074581259315860f, -0.369892447148934100f, 0.929003638191603360f, + -0.370070588167669080f, + 0.928932660967082820f, -0.370248715579966360f, 0.928861649588363700f, + -0.370426829379276790f, + 0.928790604058057020f, -0.370604929559051670f, 0.928719524378774810f, + -0.370783016112742560f, + 0.928648410553130520f, -0.370961089033801980f, 0.928577262583738850f, + -0.371139148315682570f, + 0.928506080473215590f, -0.371317193951837540f, 0.928434864224177980f, + -0.371495225935720760f, + 0.928363613839244370f, -0.371673244260786520f, 0.928292329321034670f, + -0.371851248920489490f, + 0.928221010672169440f, -0.372029239908285010f, 0.928149657895271150f, + -0.372207217217628840f, + 0.928078270992963140f, -0.372385180841977360f, 0.928006849967869970f, + -0.372563130774787250f, + 0.927935394822617890f, -0.372741067009515760f, 0.927863905559833780f, + -0.372918989539620830f, + 0.927792382182146320f, -0.373096898358560640f, 0.927720824692185200f, + -0.373274793459793970f, + 0.927649233092581180f, -0.373452674836780300f, 0.927577607385966730f, + -0.373630542482979280f, + 0.927505947574975180f, -0.373808396391851210f, 0.927434253662241300f, + -0.373986236556857030f, + 0.927362525650401110f, -0.374164062971457930f, 0.927290763542091720f, + -0.374341875629115920f, + 0.927218967339951790f, -0.374519674523293210f, 0.927147137046620880f, + -0.374697459647452600f, + 0.927075272664740100f, -0.374875230995057540f, 0.927003374196951670f, + -0.375052988559571920f, + 0.926931441645899130f, -0.375230732334459920f, 0.926859475014227160f, + -0.375408462313186590f, + 0.926787474304581750f, -0.375586178489217220f, 0.926715439519610330f, + -0.375763880856017700f, + 0.926643370661961230f, -0.375941569407054420f, 0.926571267734284330f, + -0.376119244135794340f, + 0.926499130739230510f, -0.376296905035704790f, 0.926426959679452210f, + -0.376474552100253770f, + 0.926354754557602860f, -0.376652185322909560f, 0.926282515376337210f, + -0.376829804697141280f, + 0.926210242138311380f, -0.377007410216418260f, 0.926137934846182560f, + -0.377185001874210450f, + 0.926065593502609310f, -0.377362579663988340f, 0.925993218110251480f, + -0.377540143579222940f, + 0.925920808671770070f, -0.377717693613385640f, 0.925848365189827270f, + -0.377895229759948490f, + 0.925775887667086740f, -0.378072752012383990f, 0.925703376106213230f, + -0.378250260364165200f, + 0.925630830509872720f, -0.378427754808765560f, 0.925558250880732740f, + -0.378605235339659120f, + 0.925485637221461490f, -0.378782701950320540f, 0.925412989534729060f, + -0.378960154634224720f, + 0.925340307823206310f, -0.379137593384847320f, 0.925267592089565660f, + -0.379315018195664430f, + 0.925194842336480530f, -0.379492429060152630f, 0.925122058566625880f, + -0.379669825971788940f, + 0.925049240782677580f, -0.379847208924051160f, 0.924976388987313160f, + -0.380024577910417270f, + 0.924903503183210910f, -0.380201932924366050f, 0.924830583373050800f, + -0.380379273959376600f, + 0.924757629559513910f, -0.380556601008928520f, 0.924684641745282420f, + -0.380733914066502140f, + 0.924611619933039970f, -0.380911213125578070f, 0.924538564125471420f, + -0.381088498179637520f, + 0.924465474325262600f, -0.381265769222162380f, 0.924392350535101050f, + -0.381443026246634730f, + 0.924319192757675160f, -0.381620269246537360f, 0.924246000995674890f, + -0.381797498215353640f, + 0.924172775251791200f, -0.381974713146567220f, 0.924099515528716280f, + -0.382151914033662610f, + 0.924026221829143850f, -0.382329100870124510f, 0.923952894155768640f, + -0.382506273649438230f, + 0.923879532511286740f, -0.382683432365089780f, 0.923806136898395410f, + -0.382860577010565420f, + 0.923732707319793290f, -0.383037707579352020f, 0.923659243778179980f, + -0.383214824064937180f, + 0.923585746276256670f, -0.383391926460808660f, 0.923512214816725630f, + -0.383569014760454910f, + 0.923438649402290370f, -0.383746088957365010f, 0.923365050035655720f, + -0.383923149045028390f, + 0.923291416719527640f, -0.384100195016935040f, 0.923217749456613500f, + -0.384277226866575510f, + 0.923144048249621930f, -0.384454244587440820f, 0.923070313101262420f, + -0.384631248173022580f, + 0.922996544014246250f, -0.384808237616812880f, 0.922922740991285680f, + -0.384985212912304200f, + 0.922848904035094120f, -0.385162174052989860f, 0.922775033148386380f, + -0.385339121032363340f, + 0.922701128333878630f, -0.385516053843918850f, 0.922627189594287910f, + -0.385692972481151140f, + 0.922553216932332830f, -0.385869876937555310f, 0.922479210350733210f, + -0.386046767206627170f, + 0.922405169852209880f, -0.386223643281862980f, 0.922331095439485440f, + -0.386400505156759440f, + 0.922256987115283030f, -0.386577352824813920f, 0.922182844882327600f, + -0.386754186279524180f, + 0.922108668743345180f, -0.386931005514388580f, 0.922034458701062820f, + -0.387107810522905990f, + 0.921960214758209220f, -0.387284601298575840f, 0.921885936917513970f, + -0.387461377834897870f, + 0.921811625181708120f, -0.387638140125372730f, 0.921737279553523910f, + -0.387814888163501180f, + 0.921662900035694730f, -0.387991621942784860f, 0.921588486630955490f, + -0.388168341456725740f, + 0.921514039342042010f, -0.388345046698826250f, 0.921439558171691430f, + -0.388521737662589570f, + 0.921365043122642340f, -0.388698414341519190f, 0.921290494197634540f, + -0.388875076729119250f, + 0.921215911399408730f, -0.389051724818894380f, 0.921141294730707270f, + -0.389228358604349730f, + 0.921066644194273640f, -0.389404978078990940f, 0.920991959792852310f, + -0.389581583236324300f, + 0.920917241529189520f, -0.389758174069856410f, 0.920842489406032190f, + -0.389934750573094730f, + 0.920767703426128790f, -0.390111312739546910f, 0.920692883592229120f, + -0.390287860562721190f, + 0.920618029907083970f, -0.390464394036126590f, 0.920543142373445480f, + -0.390640913153272430f, + 0.920468220994067110f, -0.390817417907668500f, 0.920393265771703550f, + -0.390993908292825380f, + 0.920318276709110590f, -0.391170384302253870f, 0.920243253809045370f, + -0.391346845929465560f, + 0.920168197074266340f, -0.391523293167972410f, 0.920093106507533180f, + -0.391699726011286940f, + 0.920017982111606570f, -0.391876144452922350f, 0.919942823889248640f, + -0.392052548486392090f, + 0.919867631843222950f, -0.392228938105210310f, 0.919792405976293860f, + -0.392405313302891690f, + 0.919717146291227360f, -0.392581674072951470f, 0.919641852790790470f, + -0.392758020408905280f, + 0.919566525477751530f, -0.392934352304269490f, 0.919491164354880100f, + -0.393110669752560760f, + 0.919415769424947070f, -0.393286972747296400f, 0.919340340690724340f, + -0.393463261281994330f, + 0.919264878154985370f, -0.393639535350172880f, 0.919189381820504470f, + -0.393815794945351020f, + 0.919113851690057770f, -0.393992040061048100f, 0.919038287766422050f, + -0.394168270690784080f, + 0.918962690052375630f, -0.394344486828079600f, 0.918887058550697970f, + -0.394520688466455600f, + 0.918811393264170050f, -0.394696875599433560f, 0.918735694195573550f, + -0.394873048220535760f, + 0.918659961347691900f, -0.395049206323284770f, 0.918584194723309540f, + -0.395225349901203670f, + 0.918508394325212250f, -0.395401478947816350f, 0.918432560156186910f, + -0.395577593456646840f, + 0.918356692219021720f, -0.395753693421220080f, 0.918280790516506130f, + -0.395929778835061250f, + 0.918204855051430900f, -0.396105849691696270f, 0.918128885826588030f, + -0.396281905984651520f, + 0.918052882844770380f, -0.396457947707453910f, 0.917976846108772730f, + -0.396633974853630830f, + 0.917900775621390500f, -0.396809987416710310f, 0.917824671385420570f, + -0.396985985390220900f, + 0.917748533403661250f, -0.397161968767691610f, 0.917672361678911860f, + -0.397337937542652060f, + 0.917596156213972950f, -0.397513891708632330f, 0.917519917011646260f, + -0.397689831259163180f, + 0.917443644074735220f, -0.397865756187775750f, 0.917367337406043930f, + -0.398041666488001770f, + 0.917290997008377910f, -0.398217562153373560f, 0.917214622884544250f, + -0.398393443177423980f, + 0.917138215037350710f, -0.398569309553686300f, 0.917061773469606820f, + -0.398745161275694430f, + 0.916985298184123000f, -0.398920998336982910f, 0.916908789183710990f, + -0.399096820731086540f, + 0.916832246471183890f, -0.399272628451540990f, 0.916755670049355990f, + -0.399448421491882140f, + 0.916679059921042700f, -0.399624199845646790f, 0.916602416089060790f, + -0.399799963506371980f, + 0.916525738556228210f, -0.399975712467595330f, 0.916449027325364150f, + -0.400151446722855130f, + 0.916372282399289140f, -0.400327166265690090f, 0.916295503780824800f, + -0.400502871089639500f, + 0.916218691472794220f, -0.400678561188243240f, 0.916141845478021350f, + -0.400854236555041650f, + 0.916064965799331720f, -0.401029897183575620f, 0.915988052439551950f, + -0.401205543067386710f, + 0.915911105401509880f, -0.401381174200016790f, 0.915834124688034710f, + -0.401556790575008540f, + 0.915757110301956720f, -0.401732392185905010f, 0.915680062246107650f, + -0.401907979026249700f, + 0.915602980523320230f, -0.402083551089586990f, 0.915525865136428530f, + -0.402259108369461490f, + 0.915448716088267830f, -0.402434650859418430f, 0.915371533381674760f, + -0.402610178553003680f, + 0.915294317019487050f, -0.402785691443763530f, 0.915217067004543860f, + -0.402961189525244900f, + 0.915139783339685260f, -0.403136672790995300f, 0.915062466027752760f, + -0.403312141234562550f, + 0.914985115071589310f, -0.403487594849495310f, 0.914907730474038730f, + -0.403663033629342640f, + 0.914830312237946200f, -0.403838457567654070f, 0.914752860366158220f, + -0.404013866657979890f, + 0.914675374861522390f, -0.404189260893870690f, 0.914597855726887790f, + -0.404364640268877810f, + 0.914520302965104450f, -0.404540004776553000f, 0.914442716579023870f, + -0.404715354410448650f, + 0.914365096571498560f, -0.404890689164117580f, 0.914287442945382440f, + -0.405066009031113340f, + 0.914209755703530690f, -0.405241314004989860f, 0.914132034848799460f, + -0.405416604079301630f, + 0.914054280384046570f, -0.405591879247603870f, 0.913976492312130630f, + -0.405767139503452060f, + 0.913898670635911680f, -0.405942384840402510f, 0.913820815358251100f, + -0.406117615252011840f, + 0.913742926482011390f, -0.406292830731837360f, 0.913665004010056350f, + -0.406468031273437000f, + 0.913587047945250810f, -0.406643216870369030f, 0.913509058290461140f, + -0.406818387516192310f, + 0.913431035048554720f, -0.406993543204466510f, 0.913352978222400250f, + -0.407168683928751550f, + 0.913274887814867760f, -0.407343809682607970f, 0.913196763828828200f, + -0.407518920459596920f, + 0.913118606267154240f, -0.407694016253280110f, 0.913040415132719160f, + -0.407869097057219800f, + 0.912962190428398210f, -0.408044162864978690f, 0.912883932157067200f, + -0.408219213670120100f, + 0.912805640321603500f, -0.408394249466208000f, 0.912727314924885900f, + -0.408569270246806780f, + 0.912648955969793900f, -0.408744276005481360f, 0.912570563459208730f, + -0.408919266735797430f, + 0.912492137396012650f, -0.409094242431320980f, 0.912413677783089020f, + -0.409269203085618590f, + 0.912335184623322750f, -0.409444148692257590f, 0.912256657919599760f, + -0.409619079244805670f, + 0.912178097674807180f, -0.409793994736831150f, 0.912099503891833470f, + -0.409968895161902880f, + 0.912020876573568340f, -0.410143780513590240f, 0.911942215722902570f, + -0.410318650785463260f, + 0.911863521342728520f, -0.410493505971092410f, 0.911784793435939430f, + -0.410668346064048730f, + 0.911706032005429880f, -0.410843171057903910f, 0.911627237054095650f, + -0.411017980946230210f, + 0.911548408584833990f, -0.411192775722600160f, 0.911469546600543020f, + -0.411367555380587220f, + 0.911390651104122430f, -0.411542319913765220f, 0.911311722098472780f, + -0.411717069315708560f, + 0.911232759586496190f, -0.411891803579992170f, 0.911153763571095900f, + -0.412066522700191560f, + 0.911074734055176360f, -0.412241226669882890f, 0.910995671041643140f, + -0.412415915482642730f, + 0.910916574533403360f, -0.412590589132048210f, 0.910837444533365010f, + -0.412765247611677270f, + 0.910758281044437570f, -0.412939890915108080f, 0.910679084069531570f, + -0.413114519035919450f, + 0.910599853611558930f, -0.413289131967690960f, 0.910520589673432750f, + -0.413463729704002410f, + 0.910441292258067250f, -0.413638312238434500f, 0.910361961368377990f, + -0.413812879564568300f, + 0.910282597007281760f, -0.413987431675985400f, 0.910203199177696540f, + -0.414161968566268080f, + 0.910123767882541680f, -0.414336490228999100f, 0.910044303124737500f, + -0.414510996657761750f, + 0.909964804907205660f, -0.414685487846140010f, 0.909885273232869160f, + -0.414859963787718330f, + 0.909805708104652220f, -0.415034424476081630f, 0.909726109525480160f, + -0.415208869904815590f, + 0.909646477498279540f, -0.415383300067506230f, 0.909566812025978330f, + -0.415557714957740410f, + 0.909487113111505430f, -0.415732114569105360f, 0.909407380757791260f, + -0.415906498895188770f, + 0.909327614967767260f, -0.416080867929579210f, 0.909247815744366310f, + -0.416255221665865480f, + 0.909167983090522380f, -0.416429560097637150f, 0.909088117009170580f, + -0.416603883218484350f, + 0.909008217503247450f, -0.416778191021997650f, 0.908928284575690640f, + -0.416952483501768170f, + 0.908848318229439120f, -0.417126760651387870f, 0.908768318467432890f, + -0.417301022464448890f, + 0.908688285292613360f, -0.417475268934544290f, 0.908608218707923190f, + -0.417649500055267410f, + 0.908528118716306120f, -0.417823715820212270f, 0.908447985320707250f, + -0.417997916222973550f, + 0.908367818524072890f, -0.418172101257146320f, 0.908287618329350450f, + -0.418346270916326260f, + 0.908207384739488700f, -0.418520425194109700f, 0.908127117757437600f, + -0.418694564084093560f, + 0.908046817386148340f, -0.418868687579875050f, 0.907966483628573350f, + -0.419042795675052370f, + 0.907886116487666260f, -0.419216888363223910f, 0.907805715966381930f, + -0.419390965637988890f, + 0.907725282067676440f, -0.419565027492946880f, 0.907644814794507200f, + -0.419739073921698180f, + 0.907564314149832630f, -0.419913104917843620f, 0.907483780136612570f, + -0.420087120474984530f, + 0.907403212757808110f, -0.420261120586722880f, 0.907322612016381420f, + -0.420435105246661170f, + 0.907241977915295820f, -0.420609074448402510f, 0.907161310457516250f, + -0.420783028185550520f, + 0.907080609646008450f, -0.420956966451709440f, 0.906999875483739610f, + -0.421130889240483970f, + 0.906919107973678140f, -0.421304796545479640f, 0.906838307118793430f, + -0.421478688360302280f, + 0.906757472922056550f, -0.421652564678558330f, 0.906676605386439460f, + -0.421826425493854910f, + 0.906595704514915330f, -0.422000270799799680f, 0.906514770310458800f, + -0.422174100590000770f, + 0.906433802776045460f, -0.422347914858067050f, 0.906352801914652400f, + -0.422521713597607820f, + 0.906271767729257660f, -0.422695496802232950f, 0.906190700222840650f, + -0.422869264465553060f, + 0.906109599398381980f, -0.423043016581179040f, 0.906028465258863600f, + -0.423216753142722610f, + 0.905947297807268460f, -0.423390474143796050f, 0.905866097046580940f, + -0.423564179578011960f, + 0.905784862979786550f, -0.423737869438983840f, 0.905703595609872010f, + -0.423911543720325580f, + 0.905622294939825270f, -0.424085202415651560f, 0.905540960972635590f, + -0.424258845518576950f, + 0.905459593711293250f, -0.424432473022717420f, 0.905378193158790090f, + -0.424606084921689110f, + 0.905296759318118820f, -0.424779681209108810f, 0.905215292192273590f, + -0.424953261878593890f, + 0.905133791784249690f, -0.425126826923762360f, 0.905052258097043590f, + -0.425300376338232640f, + 0.904970691133653250f, -0.425473910115623800f, 0.904889090897077470f, + -0.425647428249555590f, + 0.904807457390316540f, -0.425820930733648240f, 0.904725790616371930f, + -0.425994417561522400f, + 0.904644090578246240f, -0.426167888726799620f, 0.904562357278943300f, + -0.426341344223101830f, + 0.904480590721468250f, -0.426514784044051520f, 0.904398790908827350f, + -0.426688208183271860f, + 0.904316957844028320f, -0.426861616634386430f, 0.904235091530079750f, + -0.427035009391019680f, + 0.904153191969991780f, -0.427208386446796320f, 0.904071259166775440f, + -0.427381747795341770f, + 0.903989293123443340f, -0.427555093430282080f, 0.903907293843009050f, + -0.427728423345243800f, + 0.903825261328487510f, -0.427901737533854080f, 0.903743195582894620f, + -0.428075035989740730f, + 0.903661096609247980f, -0.428248318706531960f, 0.903578964410566070f, + -0.428421585677856650f, + 0.903496798989868450f, -0.428594836897344400f, 0.903414600350176290f, + -0.428768072358625070f, + 0.903332368494511820f, -0.428941292055329490f, 0.903250103425898400f, + -0.429114495981088750f, + 0.903167805147360720f, -0.429287684129534610f, 0.903085473661924600f, + -0.429460856494299490f, + 0.903003108972617150f, -0.429634013069016380f, 0.902920711082466740f, + -0.429807153847318710f, + 0.902838279994502830f, -0.429980278822840620f, 0.902755815711756120f, + -0.430153387989216870f, + 0.902673318237258830f, -0.430326481340082610f, 0.902590787574043870f, + -0.430499558869073820f, + 0.902508223725145940f, -0.430672620569826800f, 0.902425626693600380f, + -0.430845666435978660f, + 0.902342996482444200f, -0.431018696461167030f, 0.902260333094715540f, + -0.431191710639029950f, + 0.902177636533453620f, -0.431364708963206330f, 0.902094906801698900f, + -0.431537691427335500f, + 0.902012143902493180f, -0.431710658025057260f, 0.901929347838879460f, + -0.431883608750012250f, + 0.901846518613901750f, -0.432056543595841500f, 0.901763656230605730f, + -0.432229462556186720f, + 0.901680760692037730f, -0.432402365624690140f, 0.901597832001245660f, + -0.432575252794994650f, + 0.901514870161278740f, -0.432748124060743700f, 0.901431875175186970f, + -0.432920979415581280f, + 0.901348847046022030f, -0.433093818853151960f, 0.901265785776836580f, + -0.433266642367100940f, + 0.901182691370684520f, -0.433439449951074090f, 0.901099563830620950f, + -0.433612241598717580f, + 0.901016403159702330f, -0.433785017303678520f, 0.900933209360986200f, + -0.433957777059604420f, + 0.900849982437531450f, -0.434130520860143310f, 0.900766722392397860f, + -0.434303248698943990f, + 0.900683429228646970f, -0.434475960569655650f, 0.900600102949340900f, + -0.434648656465928320f, + 0.900516743557543520f, -0.434821336381412290f, 0.900433351056319830f, + -0.434994000309758710f, + 0.900349925448735600f, -0.435166648244619260f, 0.900266466737858480f, + -0.435339280179646070f, + 0.900182974926756810f, -0.435511896108492000f, 0.900099450018500450f, + -0.435684496024810460f, + 0.900015892016160280f, -0.435857079922255470f, 0.899932300922808510f, + -0.436029647794481560f, + 0.899848676741518580f, -0.436202199635143950f, 0.899765019475365140f, + -0.436374735437898340f, + 0.899681329127423930f, -0.436547255196401200f, 0.899597605700772180f, + -0.436719758904309360f, + 0.899513849198487980f, -0.436892246555280360f, 0.899430059623650860f, + -0.437064718142972370f, + 0.899346236979341570f, -0.437237173661044090f, 0.899262381268642000f, + -0.437409613103154790f, + 0.899178492494635330f, -0.437582036462964400f, 0.899094570660405770f, + -0.437754443734133410f, + 0.899010615769039070f, -0.437926834910322860f, 0.898926627823621870f, + -0.438099209985194470f, + 0.898842606827242370f, -0.438271568952410430f, 0.898758552782989440f, + -0.438443911805633690f, + 0.898674465693953820f, -0.438616238538527660f, 0.898590345563227030f, + -0.438788549144756290f, + 0.898506192393901950f, -0.438960843617984320f, 0.898422006189072530f, + -0.439133121951876930f, + 0.898337786951834310f, -0.439305384140099950f, 0.898253534685283570f, + -0.439477630176319800f, + 0.898169249392518080f, -0.439649860054203480f, 0.898084931076636780f, + -0.439822073767418500f, + 0.898000579740739880f, -0.439994271309633260f, 0.897916195387928660f, + -0.440166452674516320f, + 0.897831778021305650f, -0.440338617855737250f, 0.897747327643974690f, + -0.440510766846965940f, + 0.897662844259040860f, -0.440682899641872900f, 0.897578327869610230f, + -0.440855016234129430f, + 0.897493778478790310f, -0.441027116617407230f, 0.897409196089689720f, + -0.441199200785378660f, + 0.897324580705418320f, -0.441371268731716670f, 0.897239932329087160f, + -0.441543320450094870f, + 0.897155250963808550f, -0.441715355934187310f, 0.897070536612695870f, + -0.441887375177668850f, + 0.896985789278863970f, -0.442059378174214700f, 0.896901008965428790f, + -0.442231364917500980f, + 0.896816195675507300f, -0.442403335401204080f, 0.896731349412217880f, + -0.442575289619001170f, + 0.896646470178680150f, -0.442747227564570020f, 0.896561557978014960f, + -0.442919149231588980f, + 0.896476612813344120f, -0.443091054613736880f, 0.896391634687790820f, + -0.443262943704693320f, + 0.896306623604479550f, -0.443434816498138480f, 0.896221579566536030f, + -0.443606672987752970f, + 0.896136502577086770f, -0.443778513167218220f, 0.896051392639260150f, + -0.443950337030216140f, + 0.895966249756185220f, -0.444122144570429200f, 0.895881073930992370f, + -0.444293935781540580f, + 0.895795865166813530f, -0.444465710657234000f, 0.895710623466781320f, + -0.444637469191193790f, + 0.895625348834030110f, -0.444809211377104880f, 0.895540041271694950f, + -0.444980937208652730f, + 0.895454700782912450f, -0.445152646679523640f, 0.895369327370820310f, + -0.445324339783404190f, + 0.895283921038557580f, -0.445496016513981740f, 0.895198481789264200f, + -0.445667676864944300f, + 0.895113009626081760f, -0.445839320829980290f, 0.895027504552152630f, + -0.446010948402778940f, + 0.894941966570620750f, -0.446182559577030070f, 0.894856395684631050f, + -0.446354154346423840f, + 0.894770791897329550f, -0.446525732704651350f, 0.894685155211863980f, + -0.446697294645404090f, + 0.894599485631382700f, -0.446868840162374160f, 0.894513783159035620f, + -0.447040369249254440f, + 0.894428047797973800f, -0.447211881899738320f, 0.894342279551349480f, + -0.447383378107519600f, + 0.894256478422316040f, -0.447554857866293010f, 0.894170644414028270f, + -0.447726321169753580f, + 0.894084777529641990f, -0.447897768011597310f, 0.893998877772314240f, + -0.448069198385520400f, + 0.893912945145203250f, -0.448240612285219890f, 0.893826979651468620f, + -0.448412009704393430f, + 0.893740981294271040f, -0.448583390636739240f, 0.893654950076772540f, + -0.448754755075955970f, + 0.893568886002135910f, -0.448926103015743260f, 0.893482789073525850f, + -0.449097434449801050f, + 0.893396659294107720f, -0.449268749371829920f, 0.893310496667048200f, + -0.449440047775531150f, + 0.893224301195515320f, -0.449611329654606540f, 0.893138072882678320f, + -0.449782595002758690f, + 0.893051811731707450f, -0.449953843813690520f, 0.892965517745774370f, + -0.450125076081105690f, + 0.892879190928051680f, -0.450296291798708610f, 0.892792831281713610f, + -0.450467490960204110f, + 0.892706438809935390f, -0.450638673559297600f, 0.892620013515893150f, + -0.450809839589695280f, + 0.892533555402764580f, -0.450980989045103860f, 0.892447064473728680f, + -0.451152121919230600f, + 0.892360540731965360f, -0.451323238205783520f, 0.892273984180655840f, + -0.451494337898471100f, + 0.892187394822982480f, -0.451665420991002490f, 0.892100772662129060f, + -0.451836487477087490f, + 0.892014117701280470f, -0.452007537350436420f, 0.891927429943622510f, + -0.452178570604760350f, + 0.891840709392342720f, -0.452349587233770890f, 0.891753956050629460f, + -0.452520587231180050f, + 0.891667169921672280f, -0.452691570590700920f, 0.891580351008662290f, + -0.452862537306046750f, + 0.891493499314791380f, -0.453033487370931580f, 0.891406614843252900f, + -0.453204420779070190f, + 0.891319697597241390f, -0.453375337524177750f, 0.891232747579952520f, + -0.453546237599970090f, + 0.891145764794583180f, -0.453717121000163870f, 0.891058749244331590f, + -0.453887987718476050f, + 0.890971700932396860f, -0.454058837748624430f, 0.890884619861979530f, + -0.454229671084327320f, + 0.890797506036281490f, -0.454400487719303580f, 0.890710359458505630f, + -0.454571287647272950f, + 0.890623180131855930f, -0.454742070861955450f, 0.890535968059537830f, + -0.454912837357071940f, + 0.890448723244757880f, -0.455083587126343840f, 0.890361445690723840f, + -0.455254320163493100f, + 0.890274135400644600f, -0.455425036462242360f, 0.890186792377730240f, + -0.455595736016314980f, + 0.890099416625192320f, -0.455766418819434640f, 0.890012008146243260f, + -0.455937084865326030f, + 0.889924566944096720f, -0.456107734147714110f, 0.889837093021967900f, + -0.456278366660324620f, + 0.889749586383072780f, -0.456448982396883920f, 0.889662047030628900f, + -0.456619581351118910f, + 0.889574474967854580f, -0.456790163516757160f, 0.889486870197969900f, + -0.456960728887526980f, + 0.889399232724195520f, -0.457131277457156980f, 0.889311562549753850f, + -0.457301809219376630f, + 0.889223859677868210f, -0.457472324167916060f, 0.889136124111763240f, + -0.457642822296505770f, + 0.889048355854664570f, -0.457813303598877170f, 0.888960554909799310f, + -0.457983768068762120f, + 0.888872721280395630f, -0.458154215699893060f, 0.888784854969682850f, + -0.458324646486003240f, + 0.888696955980891600f, -0.458495060420826270f, 0.888609024317253860f, + -0.458665457498096560f, + 0.888521059982002260f, -0.458835837711549120f, 0.888433062978371320f, + -0.459006201054919630f, + 0.888345033309596350f, -0.459176547521944090f, 0.888256970978913870f, + -0.459346877106359630f, + 0.888168875989561730f, -0.459517189801903480f, 0.888080748344778900f, + -0.459687485602313870f, + 0.887992588047805560f, -0.459857764501329540f, 0.887904395101883240f, + -0.460028026492689650f, + 0.887816169510254440f, -0.460198271570134320f, 0.887727911276163020f, + -0.460368499727404010f, + 0.887639620402853930f, -0.460538710958240010f, 0.887551296893573370f, + -0.460708905256384080f, + 0.887462940751568840f, -0.460879082615578690f, 0.887374551980088850f, + -0.461049243029566900f, + 0.887286130582383150f, -0.461219386492092380f, 0.887197676561702900f, + -0.461389512996899450f, + 0.887109189921300170f, -0.461559622537733080f, 0.887020670664428360f, + -0.461729715108338770f, + 0.886932118794342190f, -0.461899790702462730f, 0.886843534314297410f, + -0.462069849313851750f, + 0.886754917227550840f, -0.462239890936253340f, 0.886666267537361000f, + -0.462409915563415430f, + 0.886577585246987040f, -0.462579923189086810f, 0.886488870359689600f, + -0.462749913807016740f, + 0.886400122878730600f, -0.462919887410955080f, 0.886311342807372780f, + -0.463089843994652530f, + 0.886222530148880640f, -0.463259783551860150f, 0.886133684906519340f, + -0.463429706076329830f, + 0.886044807083555600f, -0.463599611561814010f, 0.885955896683257030f, + -0.463769500002065630f, + 0.885866953708892790f, -0.463939371390838520f, 0.885777978163732940f, + -0.464109225721886950f, + 0.885688970051048960f, -0.464279062988965760f, 0.885599929374113360f, + -0.464448883185830660f, + 0.885510856136199950f, -0.464618686306237820f, 0.885421750340583680f, + -0.464788472343943990f, + 0.885332611990540590f, -0.464958241292706690f, 0.885243441089348270f, + -0.465127993146283950f, + 0.885154237640285110f, -0.465297727898434600f, 0.885065001646630930f, + -0.465467445542917800f, + 0.884975733111666660f, -0.465637146073493660f, 0.884886432038674560f, + -0.465806829483922710f, + 0.884797098430937790f, -0.465976495767966180f, 0.884707732291741040f, + -0.466146144919385890f, + 0.884618333624369920f, -0.466315776931944430f, 0.884528902432111460f, + -0.466485391799404900f, + 0.884439438718253810f, -0.466654989515530920f, 0.884349942486086120f, + -0.466824570074086950f, + 0.884260413738899190f, -0.466994133468838000f, 0.884170852479984500f, + -0.467163679693549770f, + 0.884081258712634990f, -0.467333208741988420f, 0.883991632440144890f, + -0.467502720607920920f, + 0.883901973665809470f, -0.467672215285114770f, 0.883812282392925090f, + -0.467841692767338170f, + 0.883722558624789660f, -0.468011153048359830f, 0.883632802364701870f, + -0.468180596121949290f, + 0.883543013615961880f, -0.468350021981876530f, 0.883453192381870920f, + -0.468519430621912310f, + 0.883363338665731580f, -0.468688822035827900f, 0.883273452470847430f, + -0.468858196217395330f, + 0.883183533800523390f, -0.469027553160387130f, 0.883093582658065370f, + -0.469196892858576580f, + 0.883003599046780830f, -0.469366215305737520f, 0.882913582969978020f, + -0.469535520495644450f, + 0.882823534430966620f, -0.469704808422072460f, 0.882733453433057650f, + -0.469874079078797360f, + 0.882643339979562790f, -0.470043332459595620f, 0.882553194073795510f, + -0.470212568558244170f, + 0.882463015719070150f, -0.470381787368520650f, 0.882372804918702290f, + -0.470550988884203550f, + 0.882282561676008710f, -0.470720173099071600f, 0.882192285994307430f, + -0.470889340006904520f, + 0.882101977876917580f, -0.471058489601482500f, 0.882011637327159590f, + -0.471227621876586340f, + 0.881921264348355050f, -0.471396736825997640f, 0.881830858943826620f, + -0.471565834443498420f, + 0.881740421116898320f, -0.471734914722871430f, 0.881649950870895260f, + -0.471903977657900210f, + 0.881559448209143780f, -0.472073023242368660f, 0.881468913134971440f, + -0.472242051470061490f, + 0.881378345651706920f, -0.472411062334764040f, 0.881287745762680100f, + -0.472580055830262250f, + 0.881197113471222090f, -0.472749031950342790f, 0.881106448780665130f, + -0.472917990688792760f, + 0.881015751694342870f, -0.473086932039400050f, 0.880925022215589880f, + -0.473255855995953320f, + 0.880834260347742040f, -0.473424762552241530f, 0.880743466094136340f, + -0.473593651702054530f, + 0.880652639458111010f, -0.473762523439182850f, 0.880561780443005700f, + -0.473931377757417450f, + 0.880470889052160750f, -0.474100214650549970f, 0.880379965288918150f, + -0.474269034112372980f, + 0.880289009156621010f, -0.474437836136679230f, 0.880198020658613190f, + -0.474606620717262560f, + 0.880106999798240360f, -0.474775387847917120f, 0.880015946578849070f, + -0.474944137522437800f, + 0.879924861003786860f, -0.475112869734620300f, 0.879833743076402940f, + -0.475281584478260740f, + 0.879742592800047410f, -0.475450281747155870f, 0.879651410178071580f, + -0.475618961535103300f, + 0.879560195213827890f, -0.475787623835901120f, 0.879468947910670210f, + -0.475956268643348060f, + 0.879377668271953290f, -0.476124895951243580f, 0.879286356301033250f, + -0.476293505753387690f, + 0.879195012001267480f, -0.476462098043581190f, 0.879103635376014330f, + -0.476630672815625320f, + 0.879012226428633530f, -0.476799230063322090f, 0.878920785162485840f, + -0.476967769780474170f, + 0.878829311580933360f, -0.477136291960884810f, 0.878737805687339390f, + -0.477304796598357890f, + 0.878646267485068130f, -0.477473283686698060f, 0.878554696977485450f, + -0.477641753219710470f, + 0.878463094167957870f, -0.477810205191200990f, 0.878371459059853480f, + -0.477978639594976160f, + 0.878279791656541580f, -0.478147056424843010f, 0.878188091961392250f, + -0.478315455674609480f, + 0.878096359977777130f, -0.478483837338083970f, 0.878004595709069080f, + -0.478652201409075500f, + 0.877912799158641840f, -0.478820547881393890f, 0.877820970329870500f, + -0.478988876748849490f, + 0.877729109226131570f, -0.479157188005253310f, 0.877637215850802230f, + -0.479325481644417070f, + 0.877545290207261350f, -0.479493757660153010f, 0.877453332298888560f, + -0.479662016046274180f, + 0.877361342129065140f, -0.479830256796594190f, 0.877269319701173170f, + -0.479998479904927280f, + 0.877177265018595940f, -0.480166685365088390f, 0.877085178084718420f, + -0.480334873170893020f, + 0.876993058902925890f, -0.480503043316157510f, 0.876900907476605650f, + -0.480671195794698640f, + 0.876808723809145650f, -0.480839330600333960f, 0.876716507903935400f, + -0.481007447726881590f, + 0.876624259764365310f, -0.481175547168160300f, 0.876531979393827100f, + -0.481343628917989710f, + 0.876439666795713610f, -0.481511692970189860f, 0.876347321973419020f, + -0.481679739318581490f, + 0.876254944930338510f, -0.481847767956986030f, 0.876162535669868460f, + -0.482015778879225590f, + 0.876070094195406600f, -0.482183772079122720f, 0.875977620510351770f, + -0.482351747550500980f, + 0.875885114618103810f, -0.482519705287184350f, 0.875792576522063880f, + -0.482687645282997460f, + 0.875700006225634600f, -0.482855567531765670f, 0.875607403732219350f, + -0.483023472027314880f, + 0.875514769045222850f, -0.483191358763471860f, 0.875422102168050940f, + -0.483359227734063810f, + 0.875329403104110890f, -0.483527078932918740f, 0.875236671856810870f, + -0.483694912353865140f, + 0.875143908429560360f, -0.483862727990732270f, 0.875051112825769970f, + -0.484030525837350010f, + 0.874958285048851650f, -0.484198305887549030f, 0.874865425102218320f, + -0.484366068135160420f, + 0.874772532989284150f, -0.484533812574016180f, 0.874679608713464510f, + -0.484701539197948670f, + 0.874586652278176110f, -0.484869248000791060f, 0.874493663686836560f, + -0.485036938976377290f, + 0.874400642942864790f, -0.485204612118541820f, 0.874307590049680950f, + -0.485372267421119770f, + 0.874214505010706300f, -0.485539904877946960f, 0.874121387829363330f, + -0.485707524482859750f, + 0.874028238509075740f, -0.485875126229695250f, 0.873935057053268240f, + -0.486042710112291330f, + 0.873841843465366860f, -0.486210276124486420f, 0.873748597748798870f, + -0.486377824260119440f, + 0.873655319906992630f, -0.486545354513030270f, 0.873562009943377850f, + -0.486712866877059170f, + 0.873468667861384880f, -0.486880361346047340f, 0.873375293664446000f, + -0.487047837913836380f, + 0.873281887355994210f, -0.487215296574268760f, 0.873188448939463790f, + -0.487382737321187360f, + 0.873094978418290090f, -0.487550160148436000f, 0.873001475795909920f, + -0.487717565049858800f, + 0.872907941075761080f, -0.487884952019301040f, 0.872814374261282390f, + -0.488052321050608250f, + 0.872720775355914300f, -0.488219672137626790f, 0.872627144363097960f, + -0.488387005274203530f, + 0.872533481286276170f, -0.488554320454186180f, 0.872439786128892280f, + -0.488721617671423080f, + 0.872346058894391540f, -0.488888896919763170f, 0.872252299586219860f, + -0.489056158193056030f, + 0.872158508207824480f, -0.489223401485151980f, 0.872064684762653860f, + -0.489390626789901920f, + 0.871970829254157810f, -0.489557834101157440f, 0.871876941685786890f, + -0.489725023412770910f, + 0.871783022060993120f, -0.489892194718595190f, 0.871689070383229740f, + -0.490059348012483850f, + 0.871595086655950980f, -0.490226483288291160f, 0.871501070882612530f, + -0.490393600539871970f, + 0.871407023066670950f, -0.490560699761082020f, 0.871312943211584030f, + -0.490727780945777400f, + 0.871218831320811020f, -0.490894844087815090f, 0.871124687397811900f, + -0.491061889181052650f, + 0.871030511446048260f, -0.491228916219348280f, 0.870936303468982760f, + -0.491395925196560780f, + 0.870842063470078980f, -0.491562916106549900f, 0.870747791452801790f, + -0.491729888943175760f, + 0.870653487420617430f, -0.491896843700299290f, 0.870559151376993250f, + -0.492063780371782000f, + 0.870464783325397670f, -0.492230698951486020f, 0.870370383269300270f, + -0.492397599433274380f, + 0.870275951212171940f, -0.492564481811010590f, 0.870181487157484560f, + -0.492731346078558840f, + 0.870086991108711460f, -0.492898192229784040f, 0.869992463069326870f, + -0.493065020258551700f, + 0.869897903042806340f, -0.493231830158727900f, 0.869803311032626650f, + -0.493398621924179770f, + 0.869708687042265670f, -0.493565395548774770f, 0.869614031075202300f, + -0.493732151026381020f, + 0.869519343134916860f, -0.493898888350867480f, 0.869424623224890890f, + -0.494065607516103570f, + 0.869329871348606840f, -0.494232308515959670f, 0.869235087509548370f, + -0.494398991344306650f, + 0.869140271711200560f, -0.494565655995015950f, 0.869045423957049530f, + -0.494732302461959870f, + 0.868950544250582380f, -0.494898930739011260f, 0.868855632595287860f, + -0.495065540820043560f, + 0.868760688994655310f, -0.495232132698931180f, 0.868665713452175690f, + -0.495398706369549020f, + 0.868570705971340900f, -0.495565261825772540f, 0.868475666555644120f, + -0.495731799061477960f, + 0.868380595208579800f, -0.495898318070542190f, 0.868285491933643350f, + -0.496064818846842890f, + 0.868190356734331310f, -0.496231301384258250f, 0.868095189614141670f, + -0.496397765676667160f, + 0.867999990576573510f, -0.496564211717949290f, 0.867904759625126920f, + -0.496730639501984760f, + 0.867809496763303320f, -0.496897049022654470f, 0.867714201994605140f, + -0.497063440273840250f, + 0.867618875322536230f, -0.497229813249424220f, 0.867523516750601460f, + -0.497396167943289280f, + 0.867428126282306920f, -0.497562504349319150f, 0.867332703921159800f, + -0.497728822461397940f, + 0.867237249670668400f, -0.497895122273410870f, 0.867141763534342470f, + -0.498061403779243410f, + 0.867046245515692650f, -0.498227666972781870f, 0.866950695618230900f, + -0.498393911847913210f, + 0.866855113845470430f, -0.498560138398525140f, 0.866759500200925400f, + -0.498726346618505900f, + 0.866663854688111130f, -0.498892536501744590f, 0.866568177310544470f, + -0.499058708042130870f, + 0.866472468071743050f, -0.499224861233555080f, 0.866376726975225830f, + -0.499390996069908170f, + 0.866280954024512990f, -0.499557112545081840f, 0.866185149223125840f, + -0.499723210652968540f, + 0.866089312574586770f, -0.499889290387461330f, 0.865993444082419520f, + -0.500055351742453860f, + 0.865897543750148820f, -0.500221394711840680f, 0.865801611581300760f, + -0.500387419289516580f, + 0.865705647579402380f, -0.500553425469377420f, 0.865609651747981990f, + -0.500719413245319880f, + 0.865513624090569090f, -0.500885382611240710f, 0.865417564610694410f, + -0.501051333561038040f, + 0.865321473311889800f, -0.501217266088609950f, 0.865225350197688200f, + -0.501383180187855770f, + 0.865129195271623800f, -0.501549075852675390f, 0.865033008537231860f, + -0.501714953076969120f, + 0.864936789998049020f, -0.501880811854638290f, 0.864840539657612870f, + -0.502046652179584660f, + 0.864744257519462380f, -0.502212474045710790f, 0.864647943587137480f, + -0.502378277446919760f, + 0.864551597864179340f, -0.502544062377115690f, 0.864455220354130360f, + -0.502709828830202990f, + 0.864358811060534030f, -0.502875576800086990f, 0.864262369986934950f, + -0.503041306280673450f, + 0.864165897136879300f, -0.503207017265868920f, 0.864069392513913790f, + -0.503372709749581040f, + 0.863972856121586810f, -0.503538383725717580f, 0.863876287963447510f, + -0.503704039188187070f, + 0.863779688043046720f, -0.503869676130898950f, 0.863683056363935830f, + -0.504035294547763190f, + 0.863586392929668100f, -0.504200894432690340f, 0.863489697743797140f, + -0.504366475779592040f, + 0.863392970809878420f, -0.504532038582380270f, 0.863296212131468230f, + -0.504697582834967570f, + 0.863199421712124160f, -0.504863108531267590f, 0.863102599555404910f, + -0.505028615665194080f, + 0.863005745664870320f, -0.505194104230662240f, 0.862908860044081400f, + -0.505359574221587280f, + 0.862811942696600330f, -0.505525025631885390f, 0.862714993625990690f, + -0.505690458455473450f, + 0.862618012835816740f, -0.505855872686268860f, 0.862521000329644520f, + -0.506021268318189720f, + 0.862423956111040610f, -0.506186645345155230f, 0.862326880183573060f, + -0.506352003761084800f, + 0.862229772550811240f, -0.506517343559898530f, 0.862132633216325380f, + -0.506682664735517600f, + 0.862035462183687210f, -0.506847967281863210f, 0.861938259456469290f, + -0.507013251192858230f, + 0.861841025038245330f, -0.507178516462425180f, 0.861743758932590700f, + -0.507343763084487920f, + 0.861646461143081300f, -0.507508991052970870f, 0.861549131673294720f, + -0.507674200361798890f, + 0.861451770526809320f, -0.507839391004897720f, 0.861354377707204910f, + -0.508004562976194010f, + 0.861256953218062170f, -0.508169716269614600f, 0.861159497062963350f, + -0.508334850879087360f, + 0.861062009245491480f, -0.508499966798540930f, 0.860964489769231010f, + -0.508665064021904030f, + 0.860866938637767310f, -0.508830142543106990f, 0.860769355854687170f, + -0.508995202356080090f, + 0.860671741423578380f, -0.509160243454754640f, 0.860574095348029980f, + -0.509325265833062480f, + 0.860476417631632070f, -0.509490269484936360f, 0.860378708277976130f, + -0.509655254404309250f, + 0.860280967290654510f, -0.509820220585115450f, 0.860183194673260990f, + -0.509985168021289460f, + 0.860085390429390140f, -0.510150096706766810f, 0.859987554562638200f, + -0.510315006635483240f, + 0.859889687076602290f, -0.510479897801375700f, 0.859791787974880650f, + -0.510644770198381610f, + 0.859693857261072610f, -0.510809623820439040f, 0.859595894938779080f, + -0.510974458661486830f, + 0.859497901011601730f, -0.511139274715464390f, 0.859399875483143450f, + -0.511304071976312000f, + 0.859301818357008470f, -0.511468850437970300f, 0.859203729636801920f, + -0.511633610094381240f, + 0.859105609326130450f, -0.511798350939486890f, 0.859007457428601520f, + -0.511963072967230200f, + 0.858909273947823900f, -0.512127776171554690f, 0.858811058887407610f, + -0.512292460546404870f, + 0.858712812250963520f, -0.512457126085725690f, 0.858614534042104190f, + -0.512621772783462990f, + 0.858516224264442740f, -0.512786400633562960f, 0.858417882921593930f, + -0.512951009629972980f, + 0.858319510017173440f, -0.513115599766640560f, 0.858221105554798250f, + -0.513280171037514220f, + 0.858122669538086140f, -0.513444723436543460f, 0.858024201970656540f, + -0.513609256957677780f, + 0.857925702856129790f, -0.513773771594868030f, 0.857827172198127430f, + -0.513938267342065380f, + 0.857728610000272120f, -0.514102744193221660f, 0.857630016266187620f, + -0.514267202142289710f, + 0.857531390999499150f, -0.514431641183222820f, 0.857432734203832700f, + -0.514596061309975040f, + 0.857334045882815590f, -0.514760462516501200f, 0.857235326040076460f, + -0.514924844796756490f, + 0.857136574679244980f, -0.515089208144697160f, 0.857037791803951680f, + -0.515253552554280180f, + 0.856938977417828760f, -0.515417878019462930f, 0.856840131524509220f, + -0.515582184534203790f, + 0.856741254127627470f, -0.515746472092461380f, 0.856642345230818840f, + -0.515910740688195650f, + 0.856543404837719960f, -0.516074990315366630f, 0.856444432951968590f, + -0.516239220967935510f, + 0.856345429577203610f, -0.516403432639863990f, 0.856246394717065210f, + -0.516567625325114350f, + 0.856147328375194470f, -0.516731799017649870f, 0.856048230555233940f, + -0.516895953711434150f, + 0.855949101260826910f, -0.517060089400431910f, 0.855849940495618240f, + -0.517224206078608310f, + 0.855750748263253920f, -0.517388303739929060f, 0.855651524567380690f, + -0.517552382378360880f, + 0.855552269411646860f, -0.517716441987871150f, 0.855452982799701830f, + -0.517880482562427690f, + 0.855353664735196030f, -0.518044504095999340f, 0.855254315221780970f, + -0.518208506582555460f, + 0.855154934263109620f, -0.518372490016066110f, 0.855055521862835950f, + -0.518536454390502220f, + 0.854956078024614930f, -0.518700399699834950f, 0.854856602752102850f, + -0.518864325938036890f, + 0.854757096048957220f, -0.519028233099080860f, 0.854657557918836460f, + -0.519192121176940250f, + 0.854557988365400530f, -0.519355990165589640f, 0.854458387392310170f, + -0.519519840059003760f, + 0.854358755003227440f, -0.519683670851158410f, 0.854259091201815530f, + -0.519847482536030190f, + 0.854159395991738850f, -0.520011275107596040f, 0.854059669376662780f, + -0.520175048559833760f, + 0.853959911360254180f, -0.520338802886721960f, 0.853860121946180770f, + -0.520502538082239670f, + 0.853760301138111410f, -0.520666254140367160f, 0.853660448939716380f, + -0.520829951055084670f, + 0.853560565354666840f, -0.520993628820373920f, 0.853460650386635320f, + -0.521157287430216610f, + 0.853360704039295430f, -0.521320926878595660f, 0.853260726316321880f, + -0.521484547159494330f, + 0.853160717221390420f, -0.521648148266897090f, 0.853060676758178320f, + -0.521811730194788550f, + 0.852960604930363630f, -0.521975292937154390f, 0.852860501741625750f, + -0.522138836487980760f, + 0.852760367195645300f, -0.522302360841254590f, 0.852660201296103760f, + -0.522465865990963780f, + 0.852560004046684080f, -0.522629351931096610f, 0.852459775451070100f, + -0.522792818655642090f, + 0.852359515512947090f, -0.522956266158590140f, 0.852259224236001090f, + -0.523119694433931250f, + 0.852158901623919830f, -0.523283103475656430f, 0.852058547680391690f, + -0.523446493277757830f, + 0.851958162409106380f, -0.523609863834227920f, 0.851857745813754840f, + -0.523773215139060170f, + 0.851757297898029120f, -0.523936547186248600f, 0.851656818665622370f, + -0.524099859969787700f, + 0.851556308120228980f, -0.524263153483673360f, 0.851455766265544310f, + -0.524426427721901400f, + 0.851355193105265200f, -0.524589682678468950f, 0.851254588643089120f, + -0.524752918347373360f, + 0.851153952882715340f, -0.524916134722613000f, 0.851053285827843790f, + -0.525079331798186780f, + 0.850952587482175730f, -0.525242509568094710f, 0.850851857849413530f, + -0.525405668026336930f, + 0.850751096933260790f, -0.525568807166914680f, 0.850650304737422090f, + -0.525731926983829760f, + 0.850549481265603480f, -0.525895027471084630f, 0.850448626521511760f, + -0.526058108622682760f, + 0.850347740508854980f, -0.526221170432628060f, 0.850246823231342710f, + -0.526384212894925100f, + 0.850145874692685210f, -0.526547236003579440f, 0.850044894896594180f, + -0.526710239752597010f, + 0.849943883846782210f, -0.526873224135984590f, 0.849842841546963320f, + -0.527036189147750080f, + 0.849741768000852550f, -0.527199134781901280f, 0.849640663212165910f, + -0.527362061032447540f, + 0.849539527184620890f, -0.527524967893398200f, 0.849438359921936060f, + -0.527687855358763720f, + 0.849337161427830780f, -0.527850723422555230f, 0.849235931706025960f, + -0.528013572078784630f, + 0.849134670760243630f, -0.528176401321464370f, 0.849033378594206800f, + -0.528339211144607690f, + 0.848932055211639610f, -0.528502001542228480f, 0.848830700616267530f, + -0.528664772508341320f, + 0.848729314811817130f, -0.528827524036961870f, 0.848627897802015860f, + -0.528990256122106040f, + 0.848526449590592650f, -0.529152968757790610f, 0.848424970181277600f, + -0.529315661938033260f, + 0.848323459577801640f, -0.529478335656851980f, 0.848221917783896990f, + -0.529640989908265910f, + 0.848120344803297230f, -0.529803624686294610f, 0.848018740639736810f, + -0.529966239984958620f, + 0.847917105296951410f, -0.530128835798278960f, 0.847815438778677930f, + -0.530291412120277310f, + 0.847713741088654380f, -0.530453968944976320f, 0.847612012230619660f, + -0.530616506266399330f, + 0.847510252208314330f, -0.530779024078570140f, 0.847408461025479730f, + -0.530941522375513620f, + 0.847306638685858320f, -0.531104001151255000f, 0.847204785193194090f, + -0.531266460399820390f, + 0.847102900551231500f, -0.531428900115236800f, 0.847000984763716880f, + -0.531591320291531670f, + 0.846899037834397240f, -0.531753720922733320f, 0.846797059767020910f, + -0.531916102002870650f, + 0.846695050565337450f, -0.532078463525973540f, 0.846593010233097190f, + -0.532240805486072220f, + 0.846490938774052130f, -0.532403127877197900f, 0.846388836191954930f, + -0.532565430693382580f, + 0.846286702490559710f, -0.532727713928658810f, 0.846184537673621560f, + -0.532889977577059800f, + 0.846082341744897050f, -0.533052221632619450f, 0.845980114708143270f, + -0.533214446089372960f, + 0.845877856567119000f, -0.533376650941355330f, 0.845775567325584010f, + -0.533538836182603120f, + 0.845673246987299070f, -0.533701001807152960f, 0.845570895556026270f, + -0.533863147809042650f, + 0.845468513035528830f, -0.534025274182310380f, 0.845366099429570970f, + -0.534187380920995380f, + 0.845263654741918220f, -0.534349468019137520f, 0.845161178976337140f, + -0.534511535470777120f, + 0.845058672136595470f, -0.534673583269955510f, 0.844956134226462210f, + -0.534835611410714560f, + 0.844853565249707120f, -0.534997619887097150f, 0.844750965210101510f, + -0.535159608693146600f, + 0.844648334111417820f, -0.535321577822907120f, 0.844545671957429240f, + -0.535483527270423370f, + 0.844442978751910660f, -0.535645457029741090f, 0.844340254498637590f, + -0.535807367094906390f, + 0.844237499201387020f, -0.535969257459966710f, 0.844134712863936930f, + -0.536131128118969460f, + 0.844031895490066410f, -0.536292979065963180f, 0.843929047083555870f, + -0.536454810294997090f, + 0.843826167648186740f, -0.536616621800121040f, 0.843723257187741660f, + -0.536778413575385920f, + 0.843620315706004150f, -0.536940185614842910f, 0.843517343206759200f, + -0.537101937912544130f, + 0.843414339693792760f, -0.537263670462542530f, 0.843311305170892140f, + -0.537425383258891550f, + 0.843208239641845440f, -0.537587076295645390f, 0.843105143110442160f, + -0.537748749566859360f, + 0.843002015580472940f, -0.537910403066588880f, 0.842898857055729310f, + -0.538072036788890600f, + 0.842795667540004120f, -0.538233650727821700f, 0.842692447037091670f, + -0.538395244877439950f, + 0.842589195550786710f, -0.538556819231804100f, 0.842485913084885630f, + -0.538718373784973560f, + 0.842382599643185850f, -0.538879908531008420f, 0.842279255229485990f, + -0.539041423463969440f, + 0.842175879847585570f, -0.539202918577918240f, 0.842072473501285560f, + -0.539364393866917040f, + 0.841969036194387680f, -0.539525849325028890f, 0.841865567930695340f, + -0.539687284946317570f, + 0.841762068714012490f, -0.539848700724847590f, 0.841658538548144760f, + -0.540010096654684020f, + 0.841554977436898440f, -0.540171472729892850f, 0.841451385384081260f, + -0.540332828944540710f, + 0.841347762393501950f, -0.540494165292695230f, 0.841244108468970580f, + -0.540655481768424150f, + 0.841140423614298080f, -0.540816778365796670f, 0.841036707833296650f, + -0.540978055078882080f, + 0.840932961129779780f, -0.541139311901750800f, 0.840829183507561640f, + -0.541300548828474120f, + 0.840725374970458070f, -0.541461765853123440f, 0.840621535522285690f, + -0.541622962969771530f, + 0.840517665166862550f, -0.541784140172491550f, 0.840413763908007480f, + -0.541945297455357360f, + 0.840309831749540770f, -0.542106434812443920f, 0.840205868695283580f, + -0.542267552237826520f, + 0.840101874749058400f, -0.542428649725581250f, 0.839997849914688840f, + -0.542589727269785270f, + 0.839893794195999520f, -0.542750784864515890f, 0.839789707596816370f, + -0.542911822503851730f, + 0.839685590120966110f, -0.543072840181871740f, 0.839581441772277120f, + -0.543233837892655890f, + 0.839477262554578550f, -0.543394815630284800f, 0.839373052471700690f, + -0.543555773388839540f, + 0.839268811527475230f, -0.543716711162402280f, 0.839164539725734680f, + -0.543877628945055980f, + 0.839060237070312740f, -0.544038526730883820f, 0.838955903565044460f, + -0.544199404513970310f, + 0.838851539213765760f, -0.544360262288400400f, 0.838747144020313920f, + -0.544521100048259600f, + 0.838642717988527300f, -0.544681917787634530f, 0.838538261122245280f, + -0.544842715500612360f, + 0.838433773425308340f, -0.545003493181281160f, 0.838329254901558300f, + -0.545164250823729320f, + 0.838224705554838080f, -0.545324988422046460f, 0.838120125388991500f, + -0.545485705970322530f, + 0.838015514407863820f, -0.545646403462648590f, 0.837910872615301170f, + -0.545807080893116140f, + 0.837806200015150940f, -0.545967738255817570f, 0.837701496611261700f, + -0.546128375544845950f, + 0.837596762407483040f, -0.546288992754295210f, 0.837491997407665890f, + -0.546449589878259650f, + 0.837387201615661940f, -0.546610166910834860f, 0.837282375035324320f, + -0.546770723846116800f, + 0.837177517670507300f, -0.546931260678202190f, 0.837072629525066000f, + -0.547091777401188530f, + 0.836967710602857020f, -0.547252274009174090f, 0.836862760907737920f, + -0.547412750496257930f, + 0.836757780443567190f, -0.547573206856539760f, 0.836652769214204950f, + -0.547733643084120090f, + 0.836547727223512010f, -0.547894059173100190f, 0.836442654475350380f, + -0.548054455117581880f, + 0.836337550973583530f, -0.548214830911667780f, 0.836232416722075600f, + -0.548375186549461600f, + 0.836127251724692270f, -0.548535522025067390f, 0.836022055985299880f, + -0.548695837332590090f, + 0.835916829507766360f, -0.548856132466135290f, 0.835811572295960700f, + -0.549016407419809390f, + 0.835706284353752600f, -0.549176662187719660f, 0.835600965685013410f, + -0.549336896763974010f, + 0.835495616293615350f, -0.549497111142680960f, 0.835390236183431890f, + -0.549657305317949870f, + 0.835284825358337370f, -0.549817479283890910f, 0.835179383822207690f, + -0.549977633034614890f, + 0.835073911578919410f, -0.550137766564233630f, 0.834968408632350450f, + -0.550297879866859190f, + 0.834862874986380010f, -0.550457972936604810f, 0.834757310644888230f, + -0.550618045767584330f, + 0.834651715611756440f, -0.550778098353912120f, 0.834546089890866870f, + -0.550938130689703880f, + 0.834440433486103190f, -0.551098142769075430f, 0.834334746401350080f, + -0.551258134586143590f, + 0.834229028640493420f, -0.551418106135026060f, 0.834123280207420100f, + -0.551578057409841000f, + 0.834017501106018130f, -0.551737988404707340f, 0.833911691340176840f, + -0.551897899113745210f, + 0.833805850913786340f, -0.552057789531074980f, 0.833699979830738290f, + -0.552217659650817930f, + 0.833594078094925140f, -0.552377509467096070f, 0.833488145710240770f, + -0.552537338974032120f, + 0.833382182680579730f, -0.552697148165749770f, 0.833276189009838240f, + -0.552856937036373290f, + 0.833170164701913190f, -0.553016705580027470f, 0.833064109760702890f, + -0.553176453790838350f, + 0.832958024190106670f, -0.553336181662932300f, 0.832851907994025090f, + -0.553495889190436570f, + 0.832745761176359460f, -0.553655576367479310f, 0.832639583741012770f, + -0.553815243188189090f, + 0.832533375691888680f, -0.553974889646695500f, 0.832427137032892280f, + -0.554134515737128910f, + 0.832320867767929680f, -0.554294121453620000f, 0.832214567900907980f, + -0.554453706790300930f, + 0.832108237435735590f, -0.554613271741304040f, 0.832001876376321950f, + -0.554772816300762470f, + 0.831895484726577590f, -0.554932340462810370f, 0.831789062490414400f, + -0.555091844221582420f, + 0.831682609671745120f, -0.555251327571213980f, 0.831576126274483740f, + -0.555410790505841630f, + 0.831469612302545240f, -0.555570233019602180f, 0.831363067759845920f, + -0.555729655106633410f, + 0.831256492650303210f, -0.555889056761073810f, 0.831149886977835540f, + -0.556048437977062600f, + 0.831043250746362320f, -0.556207798748739930f, 0.830936583959804410f, + -0.556367139070246370f, + 0.830829886622083570f, -0.556526458935723610f, 0.830723158737122880f, + -0.556685758339313890f, + 0.830616400308846310f, -0.556845037275160100f, 0.830509611341179070f, + -0.557004295737405950f, + 0.830402791838047550f, -0.557163533720196220f, 0.830295941803379070f, + -0.557322751217676160f, + 0.830189061241102370f, -0.557481948223991550f, 0.830082150155146970f, + -0.557641124733289420f, + 0.829975208549443950f, -0.557800280739716990f, 0.829868236427924840f, + -0.557959416237422960f, + 0.829761233794523050f, -0.558118531220556100f, 0.829654200653172640f, + -0.558277625683266330f, + 0.829547137007808910f, -0.558436699619704100f, 0.829440042862368170f, + -0.558595753024020760f, + 0.829332918220788250f, -0.558754785890368310f, 0.829225763087007570f, + -0.558913798212899770f, + 0.829118577464965980f, -0.559072789985768480f, 0.829011361358604430f, + -0.559231761203128900f, + 0.828904114771864870f, -0.559390711859136140f, 0.828796837708690610f, + -0.559549641947945760f, + 0.828689530173025820f, -0.559708551463714680f, 0.828582192168815790f, + -0.559867440400600210f, + 0.828474823700007130f, -0.560026308752760380f, 0.828367424770547480f, + -0.560185156514354080f, + 0.828259995384385660f, -0.560343983679540860f, 0.828152535545471410f, + -0.560502790242481060f, + 0.828045045257755800f, -0.560661576197336030f, 0.827937524525190870f, + -0.560820341538267430f, + 0.827829973351729920f, -0.560979086259438150f, 0.827722391741327220f, + -0.561137810355011420f, + 0.827614779697938400f, -0.561296513819151470f, 0.827507137225519830f, + -0.561455196646023280f, + 0.827399464328029470f, -0.561613858829792420f, 0.827291761009425810f, + -0.561772500364625340f, + 0.827184027273669130f, -0.561931121244689470f, 0.827076263124720270f, + -0.562089721464152480f, + 0.826968468566541600f, -0.562248301017183150f, 0.826860643603096190f, + -0.562406859897951140f, + 0.826752788238348520f, -0.562565398100626560f, 0.826644902476264320f, + -0.562723915619380400f, + 0.826536986320809960f, -0.562882412448384440f, 0.826429039775953500f, + -0.563040888581811230f, + 0.826321062845663530f, -0.563199344013834090f, 0.826213055533910220f, + -0.563357778738627020f, + 0.826105017844664610f, -0.563516192750364800f, 0.825996949781899080f, + -0.563674586043223070f, + 0.825888851349586780f, -0.563832958611378170f, 0.825780722551702430f, + -0.563991310449006970f, + 0.825672563392221390f, -0.564149641550287680f, 0.825564373875120490f, + -0.564307951909398640f, + 0.825456154004377550f, -0.564466241520519500f, 0.825347903783971380f, + -0.564624510377830120f, + 0.825239623217882250f, -0.564782758475511400f, 0.825131312310091070f, + -0.564940985807745210f, + 0.825022971064580220f, -0.565099192368713980f, 0.824914599485333190f, + -0.565257378152600800f, + 0.824806197576334330f, -0.565415543153589660f, 0.824697765341569470f, + -0.565573687365865330f, + 0.824589302785025290f, -0.565731810783613120f, 0.824480809910689500f, + -0.565889913401019570f, + 0.824372286722551250f, -0.566047995212271450f, 0.824263733224600560f, + -0.566206056211556730f, + 0.824155149420828570f, -0.566364096393063840f, 0.824046535315227760f, + -0.566522115750982100f, + 0.823937890911791370f, -0.566680114279501600f, 0.823829216214513990f, + -0.566838091972813320f, + 0.823720511227391430f, -0.566996048825108680f, 0.823611775954420260f, + -0.567153984830580100f, + 0.823503010399598500f, -0.567311899983420800f, 0.823394214566925080f, + -0.567469794277824510f, + 0.823285388460400110f, -0.567627667707986230f, 0.823176532084024860f, + -0.567785520268101140f, + 0.823067645441801670f, -0.567943351952365560f, 0.822958728537734000f, + -0.568101162754976460f, + 0.822849781375826430f, -0.568258952670131490f, 0.822740803960084420f, + -0.568416721692029280f, + 0.822631796294514990f, -0.568574469814869140f, 0.822522758383125940f, + -0.568732197032851050f, + 0.822413690229926390f, -0.568889903340175860f, 0.822304591838926350f, + -0.569047588731045110f, + 0.822195463214137170f, -0.569205253199661200f, 0.822086304359571090f, + -0.569362896740227220f, + 0.821977115279241550f, -0.569520519346947140f, 0.821867895977163250f, + -0.569678121014025600f, + 0.821758646457351750f, -0.569835701735668000f, 0.821649366723823940f, + -0.569993261506080540f, + 0.821540056780597610f, -0.570150800319470300f, 0.821430716631691870f, + -0.570308318170044900f, + 0.821321346281126740f, -0.570465815052012990f, 0.821211945732923550f, + -0.570623290959583750f, + 0.821102514991104650f, -0.570780745886967260f, 0.820993054059693580f, + -0.570938179828374360f, + 0.820883562942714580f, -0.571095592778016690f, 0.820774041644193650f, + -0.571252984730106660f, + 0.820664490168157460f, -0.571410355678857230f, 0.820554908518633890f, + -0.571567705618482580f, + 0.820445296699652050f, -0.571725034543197120f, 0.820335654715241840f, + -0.571882342447216590f, + 0.820225982569434690f, -0.572039629324757050f, 0.820116280266262820f, + -0.572196895170035580f, + 0.820006547809759680f, -0.572354139977269920f, 0.819896785203959810f, + -0.572511363740678790f, + 0.819786992452898990f, -0.572668566454481160f, 0.819677169560613870f, + -0.572825748112897550f, + 0.819567316531142230f, -0.572982908710148560f, 0.819457433368523280f, + -0.573140048240455950f, + 0.819347520076796900f, -0.573297166698042200f, 0.819237576660004520f, + -0.573454264077130400f, + 0.819127603122188240f, -0.573611340371944610f, 0.819017599467391500f, + -0.573768395576709560f, + 0.818907565699658950f, -0.573925429685650750f, 0.818797501823036010f, + -0.574082442692994470f, + 0.818687407841569680f, -0.574239434592967890f, 0.818577283759307610f, + -0.574396405379798750f, + 0.818467129580298660f, -0.574553355047715760f, 0.818356945308593150f, + -0.574710283590948330f, + 0.818246730948242070f, -0.574867191003726740f, 0.818136486503297730f, + -0.575024077280281710f, + 0.818026211977813440f, -0.575180942414845080f, 0.817915907375843850f, + -0.575337786401649450f, + 0.817805572701444270f, -0.575494609234928120f, 0.817695207958671680f, + -0.575651410908915140f, + 0.817584813151583710f, -0.575808191417845340f, 0.817474388284239240f, + -0.575964950755954220f, + 0.817363933360698460f, -0.576121688917478280f, 0.817253448385022340f, + -0.576278405896654910f, + 0.817142933361272970f, -0.576435101687721830f, 0.817032388293513880f, + -0.576591776284917760f, + 0.816921813185809480f, -0.576748429682482410f, 0.816811208042225290f, + -0.576905061874655960f, + 0.816700572866827850f, -0.577061672855679440f, 0.816589907663684890f, + -0.577218262619794920f, + 0.816479212436865390f, -0.577374831161244880f, 0.816368487190439200f, + -0.577531378474272720f, + 0.816257731928477390f, -0.577687904553122800f, 0.816146946655052270f, + -0.577844409392039850f, + 0.816036131374236810f, -0.578000892985269910f, 0.815925286090105510f, + -0.578157355327059360f, + 0.815814410806733780f, -0.578313796411655590f, 0.815703505528198260f, + -0.578470216233306630f, + 0.815592570258576790f, -0.578626614786261430f, 0.815481605001947770f, + -0.578782992064769690f, + 0.815370609762391290f, -0.578939348063081780f, 0.815259584543988280f, + -0.579095682775449090f, + 0.815148529350820830f, -0.579251996196123550f, 0.815037444186972220f, + -0.579408288319357870f, + 0.814926329056526620f, -0.579564559139405630f, 0.814815183963569440f, + -0.579720808650521450f, + 0.814704008912187080f, -0.579877036846960350f, 0.814592803906467270f, + -0.580033243722978150f, + 0.814481568950498610f, -0.580189429272831680f, 0.814370304048371070f, + -0.580345593490778300f, + 0.814259009204175270f, -0.580501736371076490f, 0.814147684422003360f, + -0.580657857907985300f, + 0.814036329705948410f, -0.580813958095764530f, 0.813924945060104600f, + -0.580970036928674770f, + 0.813813530488567190f, -0.581126094400977620f, 0.813702085995432700f, + -0.581282130506935000f, + 0.813590611584798510f, -0.581438145240810170f, 0.813479107260763220f, + -0.581594138596866930f, + 0.813367573027426570f, -0.581750110569369650f, 0.813256008888889380f, + -0.581906061152583810f, + 0.813144414849253590f, -0.582061990340775440f, 0.813032790912622040f, + -0.582217898128211670f, + 0.812921137083098770f, -0.582373784509160110f, 0.812809453364789270f, + -0.582529649477889320f, + 0.812697739761799490f, -0.582685493028668460f, 0.812585996278237130f, + -0.582841315155767650f, + 0.812474222918210480f, -0.582997115853457700f, 0.812362419685829230f, + -0.583152895116010430f, + 0.812250586585203880f, -0.583308652937698290f, 0.812138723620446480f, + -0.583464389312794320f, + 0.812026830795669730f, -0.583620104235572760f, 0.811914908114987790f, + -0.583775797700308070f, + 0.811802955582515470f, -0.583931469701276180f, 0.811690973202369050f, + -0.584087120232753440f, + 0.811578960978665890f, -0.584242749289016980f, 0.811466918915524250f, + -0.584398356864344600f, + 0.811354847017063730f, -0.584553942953015330f, 0.811242745287404810f, + -0.584709507549308390f, + 0.811130613730669190f, -0.584865050647504490f, 0.811018452350979470f, + -0.585020572241884530f, + 0.810906261152459670f, -0.585176072326730410f, 0.810794040139234730f, + -0.585331550896324940f, + 0.810681789315430780f, -0.585487007944951340f, 0.810569508685174630f, + -0.585642443466894420f, + 0.810457198252594770f, -0.585797857456438860f, 0.810344858021820550f, + -0.585953249907870570f, + 0.810232487996982330f, -0.586108620815476430f, 0.810120088182211600f, + -0.586263970173543590f, + 0.810007658581641140f, -0.586419297976360500f, 0.809895199199404450f, + -0.586574604218216170f, + 0.809782710039636530f, -0.586729888893400390f, 0.809670191106473090f, + -0.586885151996203950f, + 0.809557642404051260f, -0.587040393520917970f, 0.809445063936509170f, + -0.587195613461834800f, + 0.809332455707985950f, -0.587350811813247660f, 0.809219817722621750f, + -0.587505988569450020f, + 0.809107149984558240f, -0.587661143724736660f, 0.808994452497937670f, + -0.587816277273402910f, + 0.808881725266903610f, -0.587971389209745010f, 0.808768968295600850f, + -0.588126479528059850f, + 0.808656181588174980f, -0.588281548222645220f, 0.808543365148773010f, + -0.588436595287799790f, + 0.808430518981542720f, -0.588591620717822890f, 0.808317643090633250f, + -0.588746624507014540f, + 0.808204737480194720f, -0.588901606649675720f, 0.808091802154378370f, + -0.589056567140108460f, + 0.807978837117336310f, -0.589211505972614960f, 0.807865842373222120f, + -0.589366423141498790f, + 0.807752817926190360f, -0.589521318641063940f, 0.807639763780396480f, + -0.589676192465615420f, + 0.807526679939997160f, -0.589831044609458790f, 0.807413566409150190f, + -0.589985875066900920f, + 0.807300423192014450f, -0.590140683832248820f, 0.807187250292749960f, + -0.590295470899810830f, + 0.807074047715517610f, -0.590450236263895810f, 0.806960815464479730f, + -0.590604979918813330f, + 0.806847553543799330f, -0.590759701858874160f, 0.806734261957640860f, + -0.590914402078389520f, + 0.806620940710169650f, -0.591069080571671400f, 0.806507589805552260f, + -0.591223737333032910f, + 0.806394209247956240f, -0.591378372356787580f, 0.806280799041550480f, + -0.591532985637249990f, + 0.806167359190504420f, -0.591687577168735430f, 0.806053889698989060f, + -0.591842146945560140f, + 0.805940390571176280f, -0.591996694962040990f, 0.805826861811239300f, + -0.592151221212495530f, + 0.805713303423352230f, -0.592305725691242290f, 0.805599715411690060f, + -0.592460208392600830f, + 0.805486097780429230f, -0.592614669310891130f, 0.805372450533747060f, + -0.592769108440434070f, + 0.805258773675822210f, -0.592923525775551300f, 0.805145067210834230f, + -0.593077921310565470f, + 0.805031331142963660f, -0.593232295039799800f, 0.804917565476392260f, + -0.593386646957578480f, + 0.804803770215302920f, -0.593540977058226390f, 0.804689945363879500f, + -0.593695285336069190f, + 0.804576090926307110f, -0.593849571785433630f, 0.804462206906771840f, + -0.594003836400646690f, + 0.804348293309460780f, -0.594158079176036800f, 0.804234350138562260f, + -0.594312300105932830f, + 0.804120377398265810f, -0.594466499184664430f, 0.804006375092761520f, + -0.594620676406562240f, + 0.803892343226241260f, -0.594774831765957580f, 0.803778281802897570f, + -0.594928965257182420f, + 0.803664190826924090f, -0.595083076874569960f, 0.803550070302515680f, + -0.595237166612453850f, + 0.803435920233868120f, -0.595391234465168730f, 0.803321740625178580f, + -0.595545280427049790f, + 0.803207531480644940f, -0.595699304492433360f, 0.803093292804466400f, + -0.595853306655656280f, + 0.802979024600843250f, -0.596007286911056530f, 0.802864726873976700f, + -0.596161245252972540f, + 0.802750399628069160f, -0.596315181675743710f, 0.802636042867324150f, + -0.596469096173710360f, + 0.802521656595946430f, -0.596622988741213220f, 0.802407240818141300f, + -0.596776859372594390f, + 0.802292795538115720f, -0.596930708062196500f, 0.802178320760077450f, + -0.597084534804362740f, + 0.802063816488235440f, -0.597238339593437420f, 0.801949282726799770f, + -0.597392122423765710f, + 0.801834719479981310f, -0.597545883289693160f, 0.801720126751992330f, + -0.597699622185566830f, + 0.801605504547046150f, -0.597853339105733910f, 0.801490852869356950f, + -0.598007034044542700f, + 0.801376171723140240f, -0.598160706996342270f, 0.801261461112612540f, + -0.598314357955482600f, + 0.801146721041991360f, -0.598467986916314310f, 0.801031951515495330f, + -0.598621593873188920f, + 0.800917152537344300f, -0.598775178820458720f, 0.800802324111759110f, + -0.598928741752476900f, + 0.800687466242961610f, -0.599082282663597310f, 0.800572578935174860f, + -0.599235801548174570f, + 0.800457662192622820f, -0.599389298400564540f, 0.800342716019530660f, + -0.599542773215123390f, + 0.800227740420124790f, -0.599696225986208310f, 0.800112735398632370f, + -0.599849656708177250f, + 0.799997700959281910f, -0.600003065375388940f, 0.799882637106302810f, + -0.600156451982203240f, + 0.799767543843925680f, -0.600309816522980430f, 0.799652421176382240f, + -0.600463158992081580f, + 0.799537269107905010f, -0.600616479383868970f, 0.799422087642728040f, + -0.600769777692705230f, + 0.799306876785086160f, -0.600923053912954090f, 0.799191636539215210f, + -0.601076308038980160f, + 0.799076366909352350f, -0.601229540065148500f, 0.798961067899735760f, + -0.601382749985825420f, + 0.798845739514604580f, -0.601535937795377730f, 0.798730381758199210f, + -0.601689103488172950f, + 0.798614994634760820f, -0.601842247058580030f, 0.798499578148532120f, + -0.601995368500968020f, + 0.798384132303756380f, -0.602148467809707210f, 0.798268657104678430f, + -0.602301544979168550f, + 0.798153152555543750f, -0.602454600003723750f, 0.798037618660599410f, + -0.602607632877745440f, + 0.797922055424093000f, -0.602760643595607220f, 0.797806462850273570f, + -0.602913632151683030f, + 0.797690840943391160f, -0.603066598540348160f, 0.797575189707696700f, + -0.603219542755978440f, + 0.797459509147442460f, -0.603372464792950260f, 0.797343799266881700f, + -0.603525364645641550f, + 0.797228060070268700f, -0.603678242308430370f, 0.797112291561858920f, + -0.603831097775695880f, + 0.796996493745908750f, -0.603983931041818020f, 0.796880666626675780f, + -0.604136742101177520f, + 0.796764810208418830f, -0.604289530948155960f, 0.796648924495397260f, + -0.604442297577135860f, + 0.796533009491872000f, -0.604595041982500360f, 0.796417065202104980f, + -0.604747764158633410f, + 0.796301091630359110f, -0.604900464099919820f, 0.796185088780898440f, + -0.605053141800745320f, + 0.796069056657987990f, -0.605205797255496500f, 0.795952995265893910f, + -0.605358430458560530f, + 0.795836904608883570f, -0.605511041404325550f, 0.795720784691225090f, + -0.605663630087180380f, + 0.795604635517188070f, -0.605816196501514970f, 0.795488457091042990f, + -0.605968740641719680f, + 0.795372249417061310f, -0.606121262502186120f, 0.795256012499515610f, + -0.606273762077306430f, + 0.795139746342679590f, -0.606426239361473550f, 0.795023450950828050f, + -0.606578694349081290f, + 0.794907126328237010f, -0.606731127034524480f, 0.794790772479183170f, + -0.606883537412198470f, + 0.794674389407944550f, -0.607035925476499650f, 0.794557977118800380f, + -0.607188291221825160f, + 0.794441535616030590f, -0.607340634642572930f, 0.794325064903916520f, + -0.607492955733141550f, + 0.794208564986740640f, -0.607645254487930830f, 0.794092035868785960f, + -0.607797530901341140f, + 0.793975477554337170f, -0.607949784967773630f, 0.793858890047679730f, + -0.608102016681630440f, + 0.793742273353100210f, -0.608254226037314490f, 0.793625627474886300f, + -0.608406413029229150f, + 0.793508952417326660f, -0.608558577651779450f, 0.793392248184711100f, + -0.608710719899370310f, + 0.793275514781330630f, -0.608862839766408200f, 0.793158752211477140f, + -0.609014937247299830f, + 0.793041960479443640f, -0.609167012336453210f, 0.792925139589524260f, + -0.609319065028276820f, + 0.792808289546014120f, -0.609471095317180240f, 0.792691410353209450f, + -0.609623103197573730f, + 0.792574502015407690f, -0.609775088663868430f, 0.792457564536907080f, + -0.609927051710476120f, + 0.792340597922007170f, -0.610078992331809620f, 0.792223602175008310f, + -0.610230910522282620f, + 0.792106577300212390f, -0.610382806276309480f, 0.791989523301921850f, + -0.610534679588305320f, + 0.791872440184440470f, -0.610686530452686280f, 0.791755327952073150f, + -0.610838358863869170f, + 0.791638186609125880f, -0.610990164816271660f, 0.791521016159905220f, + -0.611141948304312570f, + 0.791403816608719500f, -0.611293709322410890f, 0.791286587959877830f, + -0.611445447864987000f, + 0.791169330217690200f, -0.611597163926461910f, 0.791052043386467950f, + -0.611748857501257290f, + 0.790934727470523290f, -0.611900528583796070f, 0.790817382474169770f, + -0.612052177168501470f, + 0.790700008401721610f, -0.612203803249797950f, 0.790582605257494460f, + -0.612355406822110650f, + 0.790465173045804880f, -0.612506987879865570f, 0.790347711770970520f, + -0.612658546417489290f, + 0.790230221437310030f, -0.612810082429409710f, 0.790112702049143300f, + -0.612961595910055170f, + 0.789995153610791090f, -0.613113086853854910f, 0.789877576126575280f, + -0.613264555255239040f, + 0.789759969600819070f, -0.613416001108638590f, 0.789642334037846340f, + -0.613567424408485330f, + 0.789524669441982190f, -0.613718825149211720f, 0.789406975817552930f, + -0.613870203325251330f, + 0.789289253168885650f, -0.614021558931038380f, 0.789171501500308900f, + -0.614172891961007990f, + 0.789053720816151880f, -0.614324202409595950f, 0.788935911120745240f, + -0.614475490271239040f, + 0.788818072418420280f, -0.614626755540375050f, 0.788700204713509660f, + -0.614777998211442080f, + 0.788582308010347120f, -0.614929218278879590f, 0.788464382313267540f, + -0.615080415737127460f, + 0.788346427626606340f, -0.615231590580626820f, 0.788228443954700490f, + -0.615382742803819220f, + 0.788110431301888070f, -0.615533872401147320f, 0.787992389672507950f, + -0.615684979367054570f, + 0.787874319070900220f, -0.615836063695985090f, 0.787756219501406060f, + -0.615987125382383760f, + 0.787638090968367450f, -0.616138164420696910f, 0.787519933476127810f, + -0.616289180805370980f, + 0.787401747029031430f, -0.616440174530853650f, 0.787283531631423620f, + -0.616591145591593110f, + 0.787165287287651010f, -0.616742093982038720f, 0.787047014002060790f, + -0.616893019696640680f, + 0.786928711779001810f, -0.617043922729849760f, 0.786810380622823490f, + -0.617194803076117630f, + 0.786692020537876790f, -0.617345660729896830f, 0.786573631528513230f, + -0.617496495685640910f, + 0.786455213599085770f, -0.617647307937803870f, 0.786336766753948260f, + -0.617798097480841020f, + 0.786218290997455660f, -0.617948864309208150f, 0.786099786333963930f, + -0.618099608417362000f, + 0.785981252767830150f, -0.618250329799760250f, 0.785862690303412600f, + -0.618401028450860980f, + 0.785744098945070360f, -0.618551704365123740f, 0.785625478697163700f, + -0.618702357537008530f, + 0.785506829564053930f, -0.618852987960976320f, 0.785388151550103550f, + -0.619003595631488660f, + 0.785269444659675850f, -0.619154180543008410f, 0.785150708897135560f, + -0.619304742689998690f, + 0.785031944266848080f, -0.619455282066924020f, 0.784913150773180020f, + -0.619605798668249270f, + 0.784794328420499230f, -0.619756292488440660f, 0.784675477213174320f, + -0.619906763521964720f, + 0.784556597155575240f, -0.620057211763289100f, 0.784437688252072830f, + -0.620207637206882430f, + 0.784318750507038920f, -0.620358039847213720f, 0.784199783924846570f, + -0.620508419678753360f, + 0.784080788509869950f, -0.620658776695972140f, 0.783961764266484120f, + -0.620809110893341900f, + 0.783842711199065230f, -0.620959422265335180f, 0.783723629311990470f, + -0.621109710806425630f, + 0.783604518609638200f, -0.621259976511087550f, 0.783485379096387820f, + -0.621410219373796150f, + 0.783366210776619720f, -0.621560439389027160f, 0.783247013654715380f, + -0.621710636551257690f, + 0.783127787735057310f, -0.621860810854965360f, 0.783008533022029110f, + -0.622010962294628600f, + 0.782889249520015480f, -0.622161090864726820f, 0.782769937233402050f, + -0.622311196559740320f, + 0.782650596166575730f, -0.622461279374149970f, 0.782531226323924240f, + -0.622611339302437730f, + 0.782411827709836530f, -0.622761376339086350f, 0.782292400328702400f, + -0.622911390478579460f, + 0.782172944184913010f, -0.623061381715401260f, 0.782053459282860300f, + -0.623211350044037270f, + 0.781933945626937630f, -0.623361295458973230f, 0.781814403221538830f, + -0.623511217954696440f, + 0.781694832071059390f, -0.623661117525694530f, 0.781575232179895550f, + -0.623810994166456130f, + 0.781455603552444590f, -0.623960847871470660f, 0.781335946193104870f, + -0.624110678635228510f, + 0.781216260106276090f, -0.624260486452220650f, 0.781096545296358520f, + -0.624410271316939270f, + 0.780976801767753750f, -0.624560033223877210f, 0.780857029524864580f, + -0.624709772167528100f, + 0.780737228572094490f, -0.624859488142386340f, 0.780617398913848400f, + -0.625009181142947460f, + 0.780497540554531910f, -0.625158851163707620f, 0.780377653498552040f, + -0.625308498199164010f, + 0.780257737750316590f, -0.625458122243814360f, 0.780137793314234610f, + -0.625607723292157410f, + 0.780017820194715990f, -0.625757301338692900f, 0.779897818396172000f, + -0.625906856377921090f, + 0.779777787923014550f, -0.626056388404343520f, 0.779657728779656890f, + -0.626205897412462130f, + 0.779537640970513260f, -0.626355383396779990f, 0.779417524499998900f, + -0.626504846351800810f, + 0.779297379372530300f, -0.626654286272029350f, 0.779177205592524680f, + -0.626803703151971200f, + 0.779057003164400630f, -0.626953096986132660f, 0.778936772092577500f, + -0.627102467769020900f, + 0.778816512381475980f, -0.627251815495144080f, 0.778696224035517530f, + -0.627401140159011050f, + 0.778575907059125050f, -0.627550441755131530f, 0.778455561456721900f, + -0.627699720278016240f, + 0.778335187232733210f, -0.627848975722176460f, 0.778214784391584540f, + -0.627998208082124700f, + 0.778094352937702790f, -0.628147417352374000f, 0.777973892875516100f, + -0.628296603527438320f, + 0.777853404209453150f, -0.628445766601832710f, 0.777732886943944050f, + -0.628594906570072550f, + 0.777612341083420030f, -0.628744023426674680f, 0.777491766632313010f, + -0.628893117166156480f, + 0.777371163595056310f, -0.629042187783036000f, 0.777250531976084070f, + -0.629191235271832290f, + 0.777129871779831620f, -0.629340259627065630f, 0.777009183010735290f, + -0.629489260843256630f, + 0.776888465673232440f, -0.629638238914926980f, 0.776767719771761510f, + -0.629787193836599200f, + 0.776646945310762060f, -0.629936125602796440f, 0.776526142294674430f, + -0.630085034208043180f, + 0.776405310727940390f, -0.630233919646864370f, 0.776284450615002510f, + -0.630382781913785940f, + 0.776163561960304340f, -0.630531621003334600f, 0.776042644768290770f, + -0.630680436910037940f, + 0.775921699043407690f, -0.630829229628424470f, 0.775800724790101650f, + -0.630977999153023550f, + 0.775679722012820650f, -0.631126745478365340f, 0.775558690716013580f, + -0.631275468598980760f, + 0.775437630904130540f, -0.631424168509401860f, 0.775316542581622530f, + -0.631572845204161020f, + 0.775195425752941420f, -0.631721498677792260f, 0.775074280422540450f, + -0.631870128924829850f, + 0.774953106594873930f, -0.632018735939809060f, 0.774831904274396850f, + -0.632167319717265920f, + 0.774710673465565550f, -0.632315880251737570f, 0.774589414172837550f, + -0.632464417537761840f, + 0.774468126400670860f, -0.632612931569877410f, 0.774346810153525130f, + -0.632761422342624000f, + 0.774225465435860680f, -0.632909889850541750f, 0.774104092252139050f, + -0.633058334088172140f, + 0.773982690606822900f, -0.633206755050057190f, 0.773861260504375540f, + -0.633355152730739950f, + 0.773739801949261840f, -0.633503527124764320f, 0.773618314945947460f, + -0.633651878226674900f, + 0.773496799498899050f, -0.633800206031017280f, 0.773375255612584470f, + -0.633948510532337810f, + 0.773253683291472590f, -0.634096791725183740f, 0.773132082540033070f, + -0.634245049604103330f, + 0.773010453362736990f, -0.634393284163645490f, 0.772888795764056220f, + -0.634541495398360020f, + 0.772767109748463850f, -0.634689683302797740f, 0.772645395320433860f, + -0.634837847871509990f, + 0.772523652484441330f, -0.634985989099049460f, 0.772401881244962450f, + -0.635134106979969190f, + 0.772280081606474320f, -0.635282201508823420f, 0.772158253573455240f, + -0.635430272680167160f, + 0.772036397150384520f, -0.635578320488556110f, 0.771914512341742350f, + -0.635726344928547070f, + 0.771792599152010150f, -0.635874345994697720f, 0.771670657585670330f, + -0.636022323681566300f, + 0.771548687647206300f, -0.636170277983712170f, 0.771426689341102590f, + -0.636318208895695460f, + 0.771304662671844830f, -0.636466116412077180f, 0.771182607643919330f, + -0.636614000527419120f, + 0.771060524261813820f, -0.636761861236284200f, 0.770938412530016940f, + -0.636909698533235870f, + 0.770816272453018540f, -0.637057512412838590f, 0.770694104035309140f, + -0.637205302869657600f, + 0.770571907281380810f, -0.637353069898259130f, 0.770449682195725960f, + -0.637500813493210190f, + 0.770327428782838890f, -0.637648533649078810f, 0.770205147047214210f, + -0.637796230360433540f, + 0.770082836993347900f, -0.637943903621844060f, 0.769960498625737230f, + -0.638091553427880820f, + 0.769838131948879840f, -0.638239179773115280f, 0.769715736967275130f, + -0.638386782652119570f, + 0.769593313685422940f, -0.638534362059466790f, 0.769470862107824670f, + -0.638681917989730730f, + 0.769348382238982280f, -0.638829450437486290f, 0.769225874083399260f, + -0.638976959397309140f, + 0.769103337645579700f, -0.639124444863775730f, 0.768980772930028870f, + -0.639271906831463510f, + 0.768858179941253270f, -0.639419345294950700f, 0.768735558683760310f, + -0.639566760248816310f, + 0.768612909162058380f, -0.639714151687640450f, 0.768490231380656860f, + -0.639861519606003900f, + 0.768367525344066270f, -0.640008863998488440f, 0.768244791056798330f, + -0.640156184859676510f, + 0.768122028523365420f, -0.640303482184151670f, 0.767999237748281270f, + -0.640450755966498140f, + 0.767876418736060610f, -0.640598006201301030f, 0.767753571491219030f, + -0.640745232883146440f, + 0.767630696018273380f, -0.640892436006621380f, 0.767507792321741270f, + -0.641039615566313390f, + 0.767384860406141730f, -0.641186771556811250f, 0.767261900275994500f, + -0.641333903972704290f, + 0.767138911935820400f, -0.641481012808583160f, 0.767015895390141480f, + -0.641628098059038750f, + 0.766892850643480670f, -0.641775159718663500f, 0.766769777700361920f, + -0.641922197782050170f, + 0.766646676565310380f, -0.642069212243792540f, 0.766523547242852210f, + -0.642216203098485370f, + 0.766400389737514230f, -0.642363170340724320f, 0.766277204053824710f, + -0.642510113965105710f, + 0.766153990196312920f, -0.642657033966226860f, 0.766030748169509000f, + -0.642803930338685990f, + 0.765907477977944340f, -0.642950803077082080f, 0.765784179626150970f, + -0.643097652176015110f, + 0.765660853118662500f, -0.643244477630085850f, 0.765537498460013070f, + -0.643391279433895850f, + 0.765414115654738270f, -0.643538057582047740f, 0.765290704707374370f, + -0.643684812069144850f, + 0.765167265622458960f, -0.643831542889791390f, 0.765043798404530520f, + -0.643978250038592660f, + 0.764920303058128410f, -0.644124933510154540f, 0.764796779587793460f, + -0.644271593299083790f, + 0.764673227998067140f, -0.644418229399988380f, 0.764549648293492150f, + -0.644564841807476640f, + 0.764426040478612070f, -0.644711430516158310f, 0.764302404557971720f, + -0.644857995520643710f, + 0.764178740536116670f, -0.645004536815543930f, 0.764055048417593970f, + -0.645151054395471160f, + 0.763931328206951090f, -0.645297548255038380f, 0.763807579908737160f, + -0.645444018388859230f, + 0.763683803527501870f, -0.645590464791548690f, 0.763559999067796150f, + -0.645736887457722290f, + 0.763436166534172010f, -0.645883286381996320f, 0.763312305931182380f, + -0.646029661558988330f, + 0.763188417263381270f, -0.646176012983316280f, 0.763064500535323710f, + -0.646322340649599480f, + 0.762940555751565720f, -0.646468644552457780f, 0.762816582916664430f, + -0.646614924686512050f, + 0.762692582035177980f, -0.646761181046383920f, 0.762568553111665380f, + -0.646907413626696020f, + 0.762444496150687210f, -0.647053622422071540f, 0.762320411156804270f, + -0.647199807427135230f, + 0.762196298134578900f, -0.647345968636512060f, 0.762072157088574560f, + -0.647492106044828100f, + 0.761947988023355390f, -0.647638219646710310f, 0.761823790943486960f, + -0.647784309436786440f, + 0.761699565853535380f, -0.647930375409685340f, 0.761575312758068000f, + -0.648076417560036530f, + 0.761451031661653620f, -0.648222435882470420f, 0.761326722568861360f, + -0.648368430371618290f, + 0.761202385484261780f, -0.648514401022112440f, 0.761078020412426560f, + -0.648660347828585840f, + 0.760953627357928150f, -0.648806270785672550f, 0.760829206325340010f, + -0.648952169888007300f, + 0.760704757319236920f, -0.649098045130225950f, 0.760580280344194450f, + -0.649243896506964900f, + 0.760455775404789260f, -0.649389724012861660f, 0.760331242505599030f, + -0.649535527642554730f, + 0.760206681651202420f, -0.649681307390683190f, 0.760082092846179340f, + -0.649827063251887100f, + 0.759957476095110330f, -0.649972795220807530f, 0.759832831402577400f, + -0.650118503292086200f, + 0.759708158773163440f, -0.650264187460365850f, 0.759583458211452010f, + -0.650409847720290310f, + 0.759458729722028210f, -0.650555484066503880f, 0.759333973309477940f, + -0.650701096493652040f, + 0.759209188978388070f, -0.650846684996380880f, 0.759084376733346610f, + -0.650992249569337660f, + 0.758959536578942440f, -0.651137790207170330f, 0.758834668519765660f, + -0.651283306904527740f, + 0.758709772560407390f, -0.651428799656059820f, 0.758584848705459610f, + -0.651574268456416970f, + 0.758459896959515430f, -0.651719713300250910f, 0.758334917327168960f, + -0.651865134182213920f, + 0.758209909813015280f, -0.652010531096959500f, 0.758084874421650730f, + -0.652155904039141590f, + 0.757959811157672300f, -0.652301253003415460f, 0.757834720025678310f, + -0.652446577984436730f, + 0.757709601030268080f, -0.652591878976862440f, 0.757584454176041810f, + -0.652737155975350310f, + 0.757459279467600720f, -0.652882408974558850f, 0.757334076909547130f, + -0.653027637969147530f, + 0.757208846506484570f, -0.653172842953776760f, 0.757083588263017140f, + -0.653318023923107670f, + 0.756958302183750490f, -0.653463180871802330f, 0.756832988273290820f, + -0.653608313794523890f, + 0.756707646536245670f, -0.653753422685936060f, 0.756582276977223470f, + -0.653898507540703780f, + 0.756456879600833740f, -0.654043568353492640f, 0.756331454411686920f, + -0.654188605118969040f, + 0.756206001414394540f, -0.654333617831800440f, 0.756080520613569120f, + -0.654478606486655350f, + 0.755955012013824420f, -0.654623571078202680f, 0.755829475619774760f, + -0.654768511601112600f, + 0.755703911436035880f, -0.654913428050056030f, 0.755578319467224540f, + -0.655058320419704910f, + 0.755452699717958250f, -0.655203188704731820f, 0.755327052192855670f, + -0.655348032899810470f, + 0.755201376896536550f, -0.655492852999615350f, 0.755075673833621620f, + -0.655637648998821820f, + 0.754949943008732640f, -0.655782420892106030f, 0.754824184426492350f, + -0.655927168674145360f, + 0.754698398091524500f, -0.656071892339617600f, 0.754572584008453840f, + -0.656216591883201920f, + 0.754446742181906440f, -0.656361267299578000f, 0.754320872616508820f, + -0.656505918583426550f, + 0.754194975316889170f, -0.656650545729428940f, 0.754069050287676120f, + -0.656795148732268070f, + 0.753943097533499640f, -0.656939727586627110f, 0.753817117058990790f, + -0.657084282287190180f, + 0.753691108868781210f, -0.657228812828642540f, 0.753565072967504300f, + -0.657373319205670210f, + 0.753439009359793580f, -0.657517801412960120f, 0.753312918050284330f, + -0.657662259445200070f, + 0.753186799043612520f, -0.657806693297078640f, 0.753060652344415100f, + -0.657951102963285520f, + 0.752934477957330150f, -0.658095488438511180f, 0.752808275886996950f, + -0.658239849717446870f, + 0.752682046138055340f, -0.658384186794785050f, 0.752555788715146390f, + -0.658528499665218650f, + 0.752429503622912390f, -0.658672788323441890f, 0.752303190865996400f, + -0.658817052764149480f, + 0.752176850449042810f, -0.658961292982037320f, 0.752050482376696360f, + -0.659105508971802090f, + 0.751924086653603550f, -0.659249700728141490f, 0.751797663284411550f, + -0.659393868245753860f, + 0.751671212273768430f, -0.659538011519338660f, 0.751544733626323680f, + -0.659682130543596150f, + 0.751418227346727470f, -0.659826225313227320f, 0.751291693439630870f, + -0.659970295822934540f, + 0.751165131909686480f, -0.660114342067420480f, 0.751038542761547360f, + -0.660258364041389050f, + 0.750911925999867890f, -0.660402361739545030f, 0.750785281629303690f, + -0.660546335156593890f, + 0.750658609654510700f, -0.660690284287242300f, 0.750531910080146410f, + -0.660834209126197610f, + 0.750405182910869330f, -0.660978109668168060f, 0.750278428151338720f, + -0.661121985907862860f, + 0.750151645806215070f, -0.661265837839992270f, 0.750024835880159780f, + -0.661409665459266940f, + 0.749897998377835330f, -0.661553468760398890f, 0.749771133303905100f, + -0.661697247738101010f, + 0.749644240663033480f, -0.661841002387086870f, 0.749517320459886170f, + -0.661984732702070920f, + 0.749390372699129560f, -0.662128438677768720f, 0.749263397385431130f, + -0.662272120308896590f, + 0.749136394523459370f, -0.662415777590171780f, 0.749009364117883880f, + -0.662559410516312290f, + 0.748882306173375150f, -0.662703019082037440f, 0.748755220694604760f, + -0.662846603282066900f, + 0.748628107686245440f, -0.662990163111121470f, 0.748500967152970430f, + -0.663133698563923010f, + 0.748373799099454560f, -0.663277209635194100f, 0.748246603530373420f, + -0.663420696319658280f, + 0.748119380450403600f, -0.663564158612039770f, 0.747992129864222700f, + -0.663707596507064010f, + 0.747864851776509410f, -0.663851009999457340f, 0.747737546191943330f, + -0.663994399083946640f, + 0.747610213115205150f, -0.664137763755260010f, 0.747482852550976570f, + -0.664281104008126230f, + 0.747355464503940190f, -0.664424419837275180f, 0.747228048978779920f, + -0.664567711237437520f, + 0.747100605980180130f, -0.664710978203344790f, 0.746973135512826850f, + -0.664854220729729660f, + 0.746845637581406540f, -0.664997438811325340f, 0.746718112190607130f, + -0.665140632442866140f, + 0.746590559345117310f, -0.665283801619087180f, 0.746462979049626770f, + -0.665426946334724660f, + 0.746335371308826320f, -0.665570066584515450f, 0.746207736127407760f, + -0.665713162363197550f, + 0.746080073510063780f, -0.665856233665509720f, 0.745952383461488290f, + -0.665999280486191500f, + 0.745824665986376090f, -0.666142302819983540f, 0.745696921089422760f, + -0.666285300661627280f, + 0.745569148775325430f, -0.666428274005865240f, 0.745441349048781680f, + -0.666571222847440640f, + 0.745313521914490520f, -0.666714147181097670f, 0.745185667377151640f, + -0.666857047001581220f, + 0.745057785441466060f, -0.666999922303637470f, 0.744929876112135350f, + -0.667142773082013310f, + 0.744801939393862630f, -0.667285599331456370f, 0.744673975291351710f, + -0.667428401046715520f, + 0.744545983809307370f, -0.667571178222540310f, 0.744417964952435620f, + -0.667713930853681030f, + 0.744289918725443260f, -0.667856658934889320f, 0.744161845133038180f, + -0.667999362460917400f, + 0.744033744179929290f, -0.668142041426518450f, 0.743905615870826490f, + -0.668284695826446670f, + 0.743777460210440890f, -0.668427325655456820f, 0.743649277203484060f, + -0.668569930908304970f, + 0.743521066854669120f, -0.668712511579747980f, 0.743392829168709970f, + -0.668855067664543610f, + 0.743264564150321600f, -0.668997599157450270f, 0.743136271804219820f, + -0.669140106053227600f, + 0.743007952135121720f, -0.669282588346636010f, 0.742879605147745200f, + -0.669425046032436910f, + 0.742751230846809050f, -0.669567479105392490f, 0.742622829237033490f, + -0.669709887560265840f, + 0.742494400323139180f, -0.669852271391821020f, 0.742365944109848460f, + -0.669994630594823000f, + 0.742237460601884000f, -0.670136965164037650f, 0.742108949803969910f, + -0.670279275094231800f, + 0.741980411720831070f, -0.670421560380173090f, 0.741851846357193480f, + -0.670563821016630040f, + 0.741723253717784140f, -0.670706056998372160f, 0.741594633807331150f, + -0.670848268320169640f, + 0.741465986630563290f, -0.670990454976794220f, 0.741337312192210660f, + -0.671132616963017740f, + 0.741208610497004260f, -0.671274754273613490f, 0.741079881549676080f, + -0.671416866903355450f, + 0.740951125354959110f, -0.671558954847018330f, 0.740822341917587330f, + -0.671701018099378320f, + 0.740693531242295760f, -0.671843056655211930f, 0.740564693333820250f, + -0.671985070509296900f, + 0.740435828196898020f, -0.672127059656411730f, 0.740306935836266940f, + -0.672269024091335930f, + 0.740178016256666240f, -0.672410963808849790f, 0.740049069462835550f, + -0.672552878803734710f, + 0.739920095459516200f, -0.672694769070772860f, 0.739791094251449950f, + -0.672836634604747300f, + 0.739662065843380010f, -0.672978475400442090f, 0.739533010240050250f, + -0.673120291452642070f, + 0.739403927446205760f, -0.673262082756132970f, 0.739274817466592520f, + -0.673403849305701740f, + 0.739145680305957510f, -0.673545591096136100f, 0.739016515969048720f, + -0.673687308122224330f, + 0.738887324460615110f, -0.673829000378756040f, 0.738758105785406900f, + -0.673970667860521620f, + 0.738628859948174840f, -0.674112310562312360f, 0.738499586953671130f, + -0.674253928478920410f, + 0.738370286806648620f, -0.674395521605139050f, 0.738240959511861310f, + -0.674537089935762000f, + 0.738111605074064260f, -0.674678633465584540f, 0.737982223498013570f, + -0.674820152189402170f, + 0.737852814788465980f, -0.674961646102011930f, 0.737723378950179700f, + -0.675103115198211420f, + 0.737593915987913570f, -0.675244559472799270f, 0.737464425906427580f, + -0.675385978920574840f, + 0.737334908710482910f, -0.675527373536338520f, 0.737205364404841190f, + -0.675668743314891910f, + 0.737075792994265730f, -0.675810088251036940f, 0.736946194483520280f, + -0.675951408339577010f, + 0.736816568877369900f, -0.676092703575315920f, 0.736686916180580460f, + -0.676233973953058950f, + 0.736557236397919150f, -0.676375219467611590f, 0.736427529534153690f, + -0.676516440113781090f, + 0.736297795594053170f, -0.676657635886374950f, 0.736168034582387330f, + -0.676798806780201770f, + 0.736038246503927350f, -0.676939952790071130f, 0.735908431363445190f, + -0.677081073910793530f, + 0.735778589165713590f, -0.677222170137180330f, 0.735648719915506510f, + -0.677363241464043920f, + 0.735518823617598900f, -0.677504287886197430f, 0.735388900276766730f, + -0.677645309398454910f, + 0.735258949897786840f, -0.677786305995631500f, 0.735128972485437180f, + -0.677927277672543020f, + 0.734998968044496710f, -0.678068224424006600f, 0.734868936579745170f, + -0.678209146244839860f, + 0.734738878095963500f, -0.678350043129861470f, 0.734608792597933550f, + -0.678490915073891140f, + 0.734478680090438370f, -0.678631762071749360f, 0.734348540578261600f, + -0.678772584118257690f, + 0.734218374066188280f, -0.678913381208238410f, 0.734088180559004040f, + -0.679054153336514870f, + 0.733957960061495940f, -0.679194900497911200f, 0.733827712578451700f, + -0.679335622687252560f, + 0.733697438114660370f, -0.679476319899364970f, 0.733567136674911360f, + -0.679616992129075560f, + 0.733436808263995710f, -0.679757639371212030f, 0.733306452886705260f, + -0.679898261620603290f, + 0.733176070547832740f, -0.680038858872078930f, 0.733045661252172080f, + -0.680179431120469750f, + 0.732915225004517780f, -0.680319978360607200f, 0.732784761809665790f, + -0.680460500587323880f, + 0.732654271672412820f, -0.680600997795453020f, 0.732523754597556700f, + -0.680741469979829090f, + 0.732393210589896040f, -0.680881917135287230f, 0.732262639654230770f, + -0.681022339256663670f, + 0.732132041795361290f, -0.681162736338795430f, 0.732001417018089630f, + -0.681303108376520530f, + 0.731870765327218290f, -0.681443455364677870f, 0.731740086727550980f, + -0.681583777298107480f, + 0.731609381223892630f, -0.681724074171649710f, 0.731478648821048520f, + -0.681864345980146670f, + 0.731347889523825570f, -0.682004592718440830f, 0.731217103337031270f, + -0.682144814381375640f, + 0.731086290265474340f, -0.682285010963795570f, 0.730955450313964360f, + -0.682425182460546060f, + 0.730824583487312160f, -0.682565328866473250f, 0.730693689790329000f, + -0.682705450176424590f, + 0.730562769227827590f, -0.682845546385248080f, 0.730431821804621520f, + -0.682985617487792740f, + 0.730300847525525490f, -0.683125663478908680f, 0.730169846395354870f, + -0.683265684353446700f, + 0.730038818418926260f, -0.683405680106258680f, 0.729907763601057140f, + -0.683545650732197530f, + 0.729776681946566090f, -0.683685596226116580f, 0.729645573460272480f, + -0.683825516582870720f, + 0.729514438146997010f, -0.683965411797315400f, 0.729383276011561050f, + -0.684105281864307080f, + 0.729252087058786970f, -0.684245126778703080f, 0.729120871293498230f, + -0.684384946535361750f, + 0.728989628720519420f, -0.684524741129142300f, 0.728858359344675800f, + -0.684664510554904960f, + 0.728727063170793830f, -0.684804254807510620f, 0.728595740203700770f, + -0.684943973881821490f, + 0.728464390448225200f, -0.685083667772700360f, 0.728333013909196360f, + -0.685223336475011210f, + 0.728201610591444610f, -0.685362979983618730f, 0.728070180499801210f, + -0.685502598293388550f, + 0.727938723639098620f, -0.685642191399187470f, 0.727807240014169960f, + -0.685781759295883030f, + 0.727675729629849610f, -0.685921301978343560f, 0.727544192490972800f, + -0.686060819441438710f, + 0.727412628602375770f, -0.686200311680038590f, 0.727281037968895870f, + -0.686339778689014520f, + 0.727149420595371020f, -0.686479220463238950f, 0.727017776486640680f, + -0.686618636997584630f, + 0.726886105647544970f, -0.686758028286925890f, 0.726754408082925020f, + -0.686897394326137610f, + 0.726622683797622850f, -0.687036735110095660f, 0.726490932796481910f, + -0.687176050633676820f, + 0.726359155084346010f, -0.687315340891759050f, 0.726227350666060370f, + -0.687454605879221030f, + 0.726095519546471000f, -0.687593845590942170f, 0.725963661730424930f, + -0.687733060021803230f, + 0.725831777222770370f, -0.687872249166685550f, 0.725699866028356120f, + -0.688011413020471640f, + 0.725567928152032300f, -0.688150551578044830f, 0.725435963598649810f, + -0.688289664834289330f, + 0.725303972373060770f, -0.688428752784090440f, 0.725171954480117950f, + -0.688567815422334250f, + 0.725039909924675370f, -0.688706852743907750f, 0.724907838711587820f, + -0.688845864743699020f, + 0.724775740845711280f, -0.688984851416597040f, 0.724643616331902550f, + -0.689123812757491570f, + 0.724511465175019630f, -0.689262748761273470f, 0.724379287379921190f, + -0.689401659422834270f, + 0.724247082951467000f, -0.689540544737066830f, 0.724114851894517850f, + -0.689679404698864800f, + 0.723982594213935520f, -0.689818239303122470f, 0.723850309914582880f, + -0.689957048544735390f, + 0.723717999001323500f, -0.690095832418599950f, 0.723585661479022150f, + -0.690234590919613370f, + 0.723453297352544380f, -0.690373324042674040f, 0.723320906626756970f, + -0.690512031782681060f, + 0.723188489306527460f, -0.690650714134534600f, 0.723056045396724410f, + -0.690789371093135650f, + 0.722923574902217700f, -0.690928002653386160f, 0.722791077827877550f, + -0.691066608810189220f, + 0.722658554178575610f, -0.691205189558448450f, 0.722526003959184540f, + -0.691343744893068710f, + 0.722393427174577550f, -0.691482274808955850f, 0.722260823829629310f, + -0.691620779301016290f, + 0.722128193929215350f, -0.691759258364157750f, 0.721995537478211880f, + -0.691897711993288760f, + 0.721862854481496340f, -0.692036140183318720f, 0.721730144943947160f, + -0.692174542929158140f, + 0.721597408870443770f, -0.692312920225718220f, 0.721464646265866370f, + -0.692451272067911130f, + 0.721331857135096290f, -0.692589598450650380f, 0.721199041483015720f, + -0.692727899368849820f, + 0.721066199314508110f, -0.692866174817424630f, 0.720933330634457530f, + -0.693004424791290870f, + 0.720800435447749190f, -0.693142649285365400f, 0.720667513759269520f, + -0.693280848294566040f, + 0.720534565573905270f, -0.693419021813811760f, 0.720401590896544760f, + -0.693557169838022290f, + 0.720268589732077190f, -0.693695292362118240f, 0.720135562085392420f, + -0.693833389381021350f, + 0.720002507961381650f, -0.693971460889654000f, 0.719869427364936860f, + -0.694109506882939820f, + 0.719736320300951030f, -0.694247527355803310f, 0.719603186774318120f, + -0.694385522303169740f, + 0.719470026789932990f, -0.694523491719965520f, 0.719336840352691740f, + -0.694661435601117820f, + 0.719203627467491220f, -0.694799353941554900f, 0.719070388139229190f, + -0.694937246736205830f, + 0.718937122372804490f, -0.695075113980000880f, 0.718803830173116890f, + -0.695212955667870780f, + 0.718670511545067230f, -0.695350771794747690f, 0.718537166493557370f, + -0.695488562355564440f, + 0.718403795023489830f, -0.695626327345254870f, 0.718270397139768260f, + -0.695764066758753690f, + 0.718136972847297490f, -0.695901780590996830f, 0.718003522150983180f, + -0.696039468836920690f, + 0.717870045055731710f, -0.696177131491462990f, 0.717736541566450950f, + -0.696314768549562090f, + 0.717603011688049080f, -0.696452380006157830f, 0.717469455425435830f, + -0.696589965856190370f, + 0.717335872783521730f, -0.696727526094601200f, 0.717202263767218070f, + -0.696865060716332470f, + 0.717068628381437480f, -0.697002569716327460f, 0.716934966631093130f, + -0.697140053089530420f, + 0.716801278521099540f, -0.697277510830886520f, 0.716667564056371890f, + -0.697414942935341790f, + 0.716533823241826680f, -0.697552349397843160f, 0.716400056082381000f, + -0.697689730213338800f, + 0.716266262582953120f, -0.697827085376777290f, 0.716132442748462330f, + -0.697964414883108670f, + 0.715998596583828690f, -0.698101718727283770f, 0.715864724093973500f, + -0.698238996904254280f, + 0.715730825283818590f, -0.698376249408972920f, 0.715596900158287470f, + -0.698513476236393040f, + 0.715462948722303760f, -0.698650677381469460f, 0.715328970980792620f, + -0.698787852839157670f, + 0.715194966938680120f, -0.698925002604414150f, 0.715060936600893090f, + -0.699062126672196140f, + 0.714926879972359490f, -0.699199225037462120f, 0.714792797058008240f, + -0.699336297695171140f, + 0.714658687862769090f, -0.699473344640283770f, 0.714524552391572860f, + -0.699610365867761040f, + 0.714390390649351390f, -0.699747361372564990f, 0.714256202641037510f, + -0.699884331149658760f, + 0.714121988371564820f, -0.700021275194006250f, 0.713987747845867830f, + -0.700158193500572730f, + 0.713853481068882470f, -0.700295086064323780f, 0.713719188045545240f, + -0.700431952880226420f, + 0.713584868780793640f, -0.700568793943248340f, 0.713450523279566260f, + -0.700705609248358450f, + 0.713316151546802610f, -0.700842398790526120f, 0.713181753587443180f, + -0.700979162564722370f, + 0.713047329406429340f, -0.701115900565918660f, 0.712912879008703480f, + -0.701252612789087460f, + 0.712778402399208980f, -0.701389299229202230f, 0.712643899582890210f, + -0.701525959881237340f, + 0.712509370564692320f, -0.701662594740168450f, 0.712374815349561710f, + -0.701799203800971720f, + 0.712240233942445510f, -0.701935787058624360f, 0.712105626348291890f, + -0.702072344508104630f, + 0.711970992572050100f, -0.702208876144391870f, 0.711836332618670080f, + -0.702345381962465880f, + 0.711701646493102970f, -0.702481861957308000f, 0.711566934200300700f, + -0.702618316123900130f, + 0.711432195745216430f, -0.702754744457225300f, 0.711297431132803970f, + -0.702891146952267400f, + 0.711162640368018350f, -0.703027523604011220f, 0.711027823455815280f, + -0.703163874407442770f, + 0.710892980401151680f, -0.703300199357548730f, 0.710758111208985350f, + -0.703436498449316660f, + 0.710623215884275020f, -0.703572771677735580f, 0.710488294431980470f, + -0.703709019037794810f, + 0.710353346857062420f, -0.703845240524484940f, 0.710218373164482220f, + -0.703981436132797620f, + 0.710083373359202800f, -0.704117605857725310f, 0.709948347446187400f, + -0.704253749694261470f, + 0.709813295430400840f, -0.704389867637400410f, 0.709678217316808580f, + -0.704525959682137380f, + 0.709543113110376770f, -0.704662025823468820f, 0.709407982816072980f, + -0.704798066056391950f, + 0.709272826438865690f, -0.704934080375904880f, 0.709137643983724030f, + -0.705070068777006840f, + 0.709002435455618250f, -0.705206031254697830f, 0.708867200859519820f, + -0.705341967803978840f, + 0.708731940200400650f, -0.705477878419852100f, 0.708596653483234080f, + -0.705613763097320490f, + 0.708461340712994160f, -0.705749621831387790f, 0.708326001894655890f, + -0.705885454617058980f, + 0.708190637033195400f, -0.706021261449339740f, 0.708055246133589500f, + -0.706157042323237060f, + 0.707919829200816310f, -0.706292797233758480f, 0.707784386239854620f, + -0.706428526175912790f, + 0.707648917255684350f, -0.706564229144709510f, 0.707513422253286280f, + -0.706699906135159430f, + 0.707377901237642100f, -0.706835557142273750f, 0.707242354213734710f, + -0.706971182161065360f, + 0.707106781186547570f, -0.707106781186547460f, 0.706971182161065360f, + -0.707242354213734600f, + 0.706835557142273860f, -0.707377901237642100f, 0.706699906135159430f, + -0.707513422253286170f, + 0.706564229144709620f, -0.707648917255684350f, 0.706428526175912790f, + -0.707784386239854620f, + 0.706292797233758480f, -0.707919829200816310f, 0.706157042323237060f, + -0.708055246133589500f, + 0.706021261449339740f, -0.708190637033195290f, 0.705885454617058980f, + -0.708326001894655780f, + 0.705749621831387790f, -0.708461340712994050f, 0.705613763097320490f, + -0.708596653483234080f, + 0.705477878419852210f, -0.708731940200400650f, 0.705341967803978950f, + -0.708867200859519820f, + 0.705206031254697830f, -0.709002435455618250f, 0.705070068777006840f, + -0.709137643983723920f, + 0.704934080375904990f, -0.709272826438865580f, 0.704798066056391950f, + -0.709407982816072980f, + 0.704662025823468930f, -0.709543113110376770f, 0.704525959682137380f, + -0.709678217316808470f, + 0.704389867637400410f, -0.709813295430400840f, 0.704253749694261580f, + -0.709948347446187400f, + 0.704117605857725430f, -0.710083373359202690f, 0.703981436132797730f, + -0.710218373164482220f, + 0.703845240524484940f, -0.710353346857062310f, 0.703709019037794810f, + -0.710488294431980470f, + 0.703572771677735580f, -0.710623215884275020f, 0.703436498449316770f, + -0.710758111208985350f, + 0.703300199357548730f, -0.710892980401151680f, 0.703163874407442770f, + -0.711027823455815280f, + 0.703027523604011220f, -0.711162640368018350f, 0.702891146952267400f, + -0.711297431132803970f, + 0.702754744457225300f, -0.711432195745216430f, 0.702618316123900130f, + -0.711566934200300700f, + 0.702481861957308000f, -0.711701646493102970f, 0.702345381962465880f, + -0.711836332618670080f, + 0.702208876144391870f, -0.711970992572049990f, 0.702072344508104740f, + -0.712105626348291890f, + 0.701935787058624360f, -0.712240233942445510f, 0.701799203800971720f, + -0.712374815349561710f, + 0.701662594740168570f, -0.712509370564692320f, 0.701525959881237450f, + -0.712643899582890210f, + 0.701389299229202230f, -0.712778402399208870f, 0.701252612789087460f, + -0.712912879008703370f, + 0.701115900565918660f, -0.713047329406429230f, 0.700979162564722480f, + -0.713181753587443070f, + 0.700842398790526230f, -0.713316151546802610f, 0.700705609248358450f, + -0.713450523279566150f, + 0.700568793943248450f, -0.713584868780793520f, 0.700431952880226420f, + -0.713719188045545130f, + 0.700295086064323780f, -0.713853481068882470f, 0.700158193500572730f, + -0.713987747845867830f, + 0.700021275194006360f, -0.714121988371564710f, 0.699884331149658760f, + -0.714256202641037400f, + 0.699747361372564990f, -0.714390390649351390f, 0.699610365867761040f, + -0.714524552391572860f, + 0.699473344640283770f, -0.714658687862768980f, 0.699336297695171250f, + -0.714792797058008130f, + 0.699199225037462120f, -0.714926879972359370f, 0.699062126672196140f, + -0.715060936600892980f, + 0.698925002604414150f, -0.715194966938680010f, 0.698787852839157790f, + -0.715328970980792620f, + 0.698650677381469580f, -0.715462948722303650f, 0.698513476236393040f, + -0.715596900158287360f, + 0.698376249408972920f, -0.715730825283818590f, 0.698238996904254390f, + -0.715864724093973390f, + 0.698101718727283880f, -0.715998596583828690f, 0.697964414883108790f, + -0.716132442748462330f, + 0.697827085376777290f, -0.716266262582953120f, 0.697689730213338800f, + -0.716400056082380890f, + 0.697552349397843270f, -0.716533823241826570f, 0.697414942935341790f, + -0.716667564056371890f, + 0.697277510830886630f, -0.716801278521099540f, 0.697140053089530530f, + -0.716934966631093130f, + 0.697002569716327460f, -0.717068628381437480f, 0.696865060716332470f, + -0.717202263767218070f, + 0.696727526094601200f, -0.717335872783521730f, 0.696589965856190370f, + -0.717469455425435830f, + 0.696452380006157830f, -0.717603011688049080f, 0.696314768549562200f, + -0.717736541566450840f, + 0.696177131491462990f, -0.717870045055731710f, 0.696039468836920690f, + -0.718003522150983060f, + 0.695901780590996830f, -0.718136972847297490f, 0.695764066758753800f, + -0.718270397139768260f, + 0.695626327345254870f, -0.718403795023489720f, 0.695488562355564440f, + -0.718537166493557370f, + 0.695350771794747800f, -0.718670511545067230f, 0.695212955667870890f, + -0.718803830173116890f, + 0.695075113980000880f, -0.718937122372804380f, 0.694937246736205940f, + -0.719070388139229190f, + 0.694799353941554900f, -0.719203627467491220f, 0.694661435601117930f, + -0.719336840352691740f, + 0.694523491719965520f, -0.719470026789932990f, 0.694385522303169860f, + -0.719603186774318000f, + 0.694247527355803310f, -0.719736320300951030f, 0.694109506882939820f, + -0.719869427364936860f, + 0.693971460889654000f, -0.720002507961381650f, 0.693833389381021350f, + -0.720135562085392310f, + 0.693695292362118350f, -0.720268589732077080f, 0.693557169838022400f, + -0.720401590896544760f, + 0.693419021813811880f, -0.720534565573905270f, 0.693280848294566150f, + -0.720667513759269410f, + 0.693142649285365510f, -0.720800435447749190f, 0.693004424791290870f, + -0.720933330634457530f, + 0.692866174817424740f, -0.721066199314508110f, 0.692727899368849820f, + -0.721199041483015720f, + 0.692589598450650380f, -0.721331857135096180f, 0.692451272067911240f, + -0.721464646265866370f, + 0.692312920225718220f, -0.721597408870443660f, 0.692174542929158140f, + -0.721730144943947160f, + 0.692036140183318830f, -0.721862854481496340f, 0.691897711993288760f, + -0.721995537478211880f, + 0.691759258364157750f, -0.722128193929215350f, 0.691620779301016400f, + -0.722260823829629310f, + 0.691482274808955850f, -0.722393427174577550f, 0.691343744893068820f, + -0.722526003959184430f, + 0.691205189558448450f, -0.722658554178575610f, 0.691066608810189220f, + -0.722791077827877550f, + 0.690928002653386280f, -0.722923574902217700f, 0.690789371093135760f, + -0.723056045396724410f, + 0.690650714134534720f, -0.723188489306527350f, 0.690512031782681170f, + -0.723320906626756850f, + 0.690373324042674040f, -0.723453297352544380f, 0.690234590919613370f, + -0.723585661479022040f, + 0.690095832418599950f, -0.723717999001323390f, 0.689957048544735390f, + -0.723850309914582880f, + 0.689818239303122470f, -0.723982594213935520f, 0.689679404698864800f, + -0.724114851894517850f, + 0.689540544737066940f, -0.724247082951466890f, 0.689401659422834380f, + -0.724379287379921080f, + 0.689262748761273470f, -0.724511465175019520f, 0.689123812757491680f, + -0.724643616331902550f, + 0.688984851416597150f, -0.724775740845711280f, 0.688845864743699130f, + -0.724907838711587820f, + 0.688706852743907750f, -0.725039909924675370f, 0.688567815422334360f, + -0.725171954480117840f, + 0.688428752784090550f, -0.725303972373060660f, 0.688289664834289440f, + -0.725435963598649810f, + 0.688150551578044830f, -0.725567928152032300f, 0.688011413020471640f, + -0.725699866028356120f, + 0.687872249166685550f, -0.725831777222770370f, 0.687733060021803230f, + -0.725963661730424930f, + 0.687593845590942170f, -0.726095519546470890f, 0.687454605879221030f, + -0.726227350666060260f, + 0.687315340891759160f, -0.726359155084346010f, 0.687176050633676930f, + -0.726490932796481910f, + 0.687036735110095660f, -0.726622683797622850f, 0.686897394326137610f, + -0.726754408082924910f, + 0.686758028286925890f, -0.726886105647544970f, 0.686618636997584740f, + -0.727017776486640680f, + 0.686479220463238950f, -0.727149420595371020f, 0.686339778689014630f, + -0.727281037968895760f, + 0.686200311680038700f, -0.727412628602375770f, 0.686060819441438710f, + -0.727544192490972800f, + 0.685921301978343670f, -0.727675729629849610f, 0.685781759295883030f, + -0.727807240014169960f, + 0.685642191399187470f, -0.727938723639098620f, 0.685502598293388670f, + -0.728070180499801210f, + 0.685362979983618730f, -0.728201610591444500f, 0.685223336475011210f, + -0.728333013909196360f, + 0.685083667772700360f, -0.728464390448225200f, 0.684943973881821490f, + -0.728595740203700770f, + 0.684804254807510620f, -0.728727063170793720f, 0.684664510554904960f, + -0.728858359344675690f, + 0.684524741129142300f, -0.728989628720519310f, 0.684384946535361750f, + -0.729120871293498230f, + 0.684245126778703080f, -0.729252087058786970f, 0.684105281864307080f, + -0.729383276011561050f, + 0.683965411797315510f, -0.729514438146996900f, 0.683825516582870830f, + -0.729645573460272480f, + 0.683685596226116690f, -0.729776681946565970f, 0.683545650732197530f, + -0.729907763601057140f, + 0.683405680106258790f, -0.730038818418926150f, 0.683265684353446700f, + -0.730169846395354870f, + 0.683125663478908800f, -0.730300847525525380f, 0.682985617487792850f, + -0.730431821804621520f, + 0.682845546385248080f, -0.730562769227827590f, 0.682705450176424590f, + -0.730693689790328890f, + 0.682565328866473250f, -0.730824583487312050f, 0.682425182460546060f, + -0.730955450313964360f, + 0.682285010963795570f, -0.731086290265474230f, 0.682144814381375640f, + -0.731217103337031160f, + 0.682004592718440830f, -0.731347889523825460f, 0.681864345980146780f, + -0.731478648821048520f, + 0.681724074171649820f, -0.731609381223892520f, 0.681583777298107480f, + -0.731740086727550980f, + 0.681443455364677990f, -0.731870765327218290f, 0.681303108376520530f, + -0.732001417018089520f, + 0.681162736338795430f, -0.732132041795361290f, 0.681022339256663670f, + -0.732262639654230660f, + 0.680881917135287340f, -0.732393210589896040f, 0.680741469979829090f, + -0.732523754597556590f, + 0.680600997795453130f, -0.732654271672412820f, 0.680460500587323880f, + -0.732784761809665790f, + 0.680319978360607200f, -0.732915225004517780f, 0.680179431120469750f, + -0.733045661252171970f, + 0.680038858872079040f, -0.733176070547832740f, 0.679898261620603290f, + -0.733306452886705260f, + 0.679757639371212030f, -0.733436808263995710f, 0.679616992129075560f, + -0.733567136674911360f, + 0.679476319899365080f, -0.733697438114660260f, 0.679335622687252670f, + -0.733827712578451700f, + 0.679194900497911200f, -0.733957960061495940f, 0.679054153336514870f, + -0.734088180559004040f, + 0.678913381208238410f, -0.734218374066188170f, 0.678772584118257690f, + -0.734348540578261600f, + 0.678631762071749470f, -0.734478680090438370f, 0.678490915073891250f, + -0.734608792597933550f, + 0.678350043129861580f, -0.734738878095963390f, 0.678209146244839860f, + -0.734868936579745060f, + 0.678068224424006600f, -0.734998968044496600f, 0.677927277672543130f, + -0.735128972485437180f, + 0.677786305995631500f, -0.735258949897786730f, 0.677645309398454910f, + -0.735388900276766620f, + 0.677504287886197430f, -0.735518823617598900f, 0.677363241464044030f, + -0.735648719915506400f, + 0.677222170137180450f, -0.735778589165713480f, 0.677081073910793530f, + -0.735908431363445190f, + 0.676939952790071240f, -0.736038246503927350f, 0.676798806780201770f, + -0.736168034582387330f, + 0.676657635886374950f, -0.736297795594053060f, 0.676516440113781090f, + -0.736427529534153690f, + 0.676375219467611700f, -0.736557236397919150f, 0.676233973953058950f, + -0.736686916180580460f, + 0.676092703575316030f, -0.736816568877369790f, 0.675951408339577010f, + -0.736946194483520170f, + 0.675810088251037060f, -0.737075792994265620f, 0.675668743314891910f, + -0.737205364404841190f, + 0.675527373536338630f, -0.737334908710482790f, 0.675385978920574950f, + -0.737464425906427580f, + 0.675244559472799270f, -0.737593915987913460f, 0.675103115198211530f, + -0.737723378950179590f, + 0.674961646102012040f, -0.737852814788465980f, 0.674820152189402280f, + -0.737982223498013570f, + 0.674678633465584540f, -0.738111605074064260f, 0.674537089935762110f, + -0.738240959511861310f, + 0.674395521605139050f, -0.738370286806648510f, 0.674253928478920520f, + -0.738499586953671130f, + 0.674112310562312360f, -0.738628859948174840f, 0.673970667860521620f, + -0.738758105785406900f, + 0.673829000378756150f, -0.738887324460615110f, 0.673687308122224330f, + -0.739016515969048600f, + 0.673545591096136100f, -0.739145680305957400f, 0.673403849305701850f, + -0.739274817466592520f, + 0.673262082756132970f, -0.739403927446205760f, 0.673120291452642070f, + -0.739533010240050250f, + 0.672978475400442090f, -0.739662065843379900f, 0.672836634604747410f, + -0.739791094251449950f, + 0.672694769070772970f, -0.739920095459516090f, 0.672552878803734820f, + -0.740049069462835550f, + 0.672410963808849900f, -0.740178016256666240f, 0.672269024091336040f, + -0.740306935836266940f, + 0.672127059656411840f, -0.740435828196898020f, 0.671985070509296900f, + -0.740564693333820250f, + 0.671843056655211930f, -0.740693531242295640f, 0.671701018099378320f, + -0.740822341917587330f, + 0.671558954847018330f, -0.740951125354959110f, 0.671416866903355450f, + -0.741079881549676080f, + 0.671274754273613490f, -0.741208610497004260f, 0.671132616963017850f, + -0.741337312192210660f, + 0.670990454976794220f, -0.741465986630563290f, 0.670848268320169750f, + -0.741594633807331150f, + 0.670706056998372160f, -0.741723253717784140f, 0.670563821016630040f, + -0.741851846357193480f, + 0.670421560380173090f, -0.741980411720830960f, 0.670279275094231910f, + -0.742108949803969800f, + 0.670136965164037760f, -0.742237460601884000f, 0.669994630594823000f, + -0.742365944109848460f, + 0.669852271391821130f, -0.742494400323139180f, 0.669709887560265840f, + -0.742622829237033380f, + 0.669567479105392490f, -0.742751230846809050f, 0.669425046032436910f, + -0.742879605147745090f, + 0.669282588346636010f, -0.743007952135121720f, 0.669140106053227710f, + -0.743136271804219820f, + 0.668997599157450270f, -0.743264564150321490f, 0.668855067664543610f, + -0.743392829168709970f, + 0.668712511579748090f, -0.743521066854669120f, 0.668569930908305080f, + -0.743649277203484060f, + 0.668427325655456820f, -0.743777460210440780f, 0.668284695826446670f, + -0.743905615870826490f, + 0.668142041426518560f, -0.744033744179929180f, 0.667999362460917510f, + -0.744161845133038070f, + 0.667856658934889440f, -0.744289918725443140f, 0.667713930853681140f, + -0.744417964952435620f, + 0.667571178222540310f, -0.744545983809307250f, 0.667428401046715640f, + -0.744673975291351600f, + 0.667285599331456480f, -0.744801939393862630f, 0.667142773082013310f, + -0.744929876112135350f, + 0.666999922303637470f, -0.745057785441465950f, 0.666857047001581220f, + -0.745185667377151640f, + 0.666714147181097670f, -0.745313521914490410f, 0.666571222847440750f, + -0.745441349048781680f, + 0.666428274005865350f, -0.745569148775325430f, 0.666285300661627390f, + -0.745696921089422760f, + 0.666142302819983540f, -0.745824665986375980f, 0.665999280486191500f, + -0.745952383461488180f, + 0.665856233665509720f, -0.746080073510063780f, 0.665713162363197660f, + -0.746207736127407650f, + 0.665570066584515560f, -0.746335371308826320f, 0.665426946334724660f, + -0.746462979049626770f, + 0.665283801619087180f, -0.746590559345117310f, 0.665140632442866140f, + -0.746718112190607020f, + 0.664997438811325340f, -0.746845637581406540f, 0.664854220729729660f, + -0.746973135512826740f, + 0.664710978203344900f, -0.747100605980180130f, 0.664567711237437520f, + -0.747228048978779920f, + 0.664424419837275180f, -0.747355464503940190f, 0.664281104008126230f, + -0.747482852550976570f, + 0.664137763755260010f, -0.747610213115205150f, 0.663994399083946640f, + -0.747737546191943330f, + 0.663851009999457340f, -0.747864851776509410f, 0.663707596507064120f, + -0.747992129864222700f, + 0.663564158612039880f, -0.748119380450403490f, 0.663420696319658280f, + -0.748246603530373420f, + 0.663277209635194100f, -0.748373799099454560f, 0.663133698563923010f, + -0.748500967152970430f, + 0.662990163111121470f, -0.748628107686245330f, 0.662846603282066900f, + -0.748755220694604760f, + 0.662703019082037440f, -0.748882306173375030f, 0.662559410516312400f, + -0.749009364117883770f, + 0.662415777590171780f, -0.749136394523459260f, 0.662272120308896590f, + -0.749263397385431020f, + 0.662128438677768720f, -0.749390372699129560f, 0.661984732702071030f, + -0.749517320459886170f, + 0.661841002387086870f, -0.749644240663033480f, 0.661697247738101120f, + -0.749771133303904990f, + 0.661553468760399000f, -0.749897998377835220f, 0.661409665459266940f, + -0.750024835880159780f, + 0.661265837839992270f, -0.750151645806214960f, 0.661121985907862970f, + -0.750278428151338610f, + 0.660978109668168060f, -0.750405182910869220f, 0.660834209126197610f, + -0.750531910080146410f, + 0.660690284287242300f, -0.750658609654510590f, 0.660546335156593890f, + -0.750785281629303580f, + 0.660402361739545030f, -0.750911925999867890f, 0.660258364041389050f, + -0.751038542761547250f, + 0.660114342067420480f, -0.751165131909686370f, 0.659970295822934540f, + -0.751291693439630870f, + 0.659826225313227430f, -0.751418227346727360f, 0.659682130543596150f, + -0.751544733626323570f, + 0.659538011519338770f, -0.751671212273768430f, 0.659393868245753970f, + -0.751797663284411440f, + 0.659249700728141490f, -0.751924086653603550f, 0.659105508971802200f, + -0.752050482376696360f, + 0.658961292982037320f, -0.752176850449042700f, 0.658817052764149480f, + -0.752303190865996400f, + 0.658672788323441890f, -0.752429503622912390f, 0.658528499665218760f, + -0.752555788715146390f, + 0.658384186794785050f, -0.752682046138055230f, 0.658239849717446980f, + -0.752808275886996950f, + 0.658095488438511290f, -0.752934477957330150f, 0.657951102963285630f, + -0.753060652344415100f, + 0.657806693297078640f, -0.753186799043612410f, 0.657662259445200070f, + -0.753312918050284330f, + 0.657517801412960120f, -0.753439009359793580f, 0.657373319205670210f, + -0.753565072967504190f, + 0.657228812828642650f, -0.753691108868781210f, 0.657084282287190180f, + -0.753817117058990680f, + 0.656939727586627110f, -0.753943097533499640f, 0.656795148732268070f, + -0.754069050287676120f, + 0.656650545729429050f, -0.754194975316889170f, 0.656505918583426550f, + -0.754320872616508820f, + 0.656361267299578000f, -0.754446742181906330f, 0.656216591883202030f, + -0.754572584008453840f, + 0.656071892339617710f, -0.754698398091524390f, 0.655927168674145360f, + -0.754824184426492240f, + 0.655782420892106030f, -0.754949943008732640f, 0.655637648998821820f, + -0.755075673833621510f, + 0.655492852999615460f, -0.755201376896536550f, 0.655348032899810580f, + -0.755327052192855560f, + 0.655203188704731930f, -0.755452699717958140f, 0.655058320419704910f, + -0.755578319467224540f, + 0.654913428050056150f, -0.755703911436035880f, 0.654768511601112600f, + -0.755829475619774760f, + 0.654623571078202680f, -0.755955012013824310f, 0.654478606486655350f, + -0.756080520613569120f, + 0.654333617831800550f, -0.756206001414394540f, 0.654188605118969040f, + -0.756331454411686920f, + 0.654043568353492640f, -0.756456879600833630f, 0.653898507540703890f, + -0.756582276977223470f, + 0.653753422685936170f, -0.756707646536245670f, 0.653608313794523890f, + -0.756832988273290820f, + 0.653463180871802330f, -0.756958302183750490f, 0.653318023923107670f, + -0.757083588263017140f, + 0.653172842953776760f, -0.757208846506484460f, 0.653027637969147650f, + -0.757334076909547130f, + 0.652882408974558960f, -0.757459279467600720f, 0.652737155975350420f, + -0.757584454176041810f, + 0.652591878976862550f, -0.757709601030268080f, 0.652446577984436840f, + -0.757834720025678310f, + 0.652301253003415460f, -0.757959811157672300f, 0.652155904039141700f, + -0.758084874421650620f, + 0.652010531096959500f, -0.758209909813015280f, 0.651865134182214030f, + -0.758334917327168960f, + 0.651719713300251020f, -0.758459896959515320f, 0.651574268456417080f, + -0.758584848705459500f, + 0.651428799656059820f, -0.758709772560407390f, 0.651283306904527850f, + -0.758834668519765660f, + 0.651137790207170330f, -0.758959536578942440f, 0.650992249569337660f, + -0.759084376733346500f, + 0.650846684996380990f, -0.759209188978387960f, 0.650701096493652040f, + -0.759333973309477940f, + 0.650555484066503990f, -0.759458729722028210f, 0.650409847720290420f, + -0.759583458211452010f, + 0.650264187460365960f, -0.759708158773163440f, 0.650118503292086200f, + -0.759832831402577400f, + 0.649972795220807530f, -0.759957476095110330f, 0.649827063251887100f, + -0.760082092846179220f, + 0.649681307390683190f, -0.760206681651202420f, 0.649535527642554730f, + -0.760331242505599030f, + 0.649389724012861770f, -0.760455775404789260f, 0.649243896506965010f, + -0.760580280344194340f, + 0.649098045130226060f, -0.760704757319236920f, 0.648952169888007410f, + -0.760829206325340010f, + 0.648806270785672550f, -0.760953627357928040f, 0.648660347828585840f, + -0.761078020412426560f, + 0.648514401022112550f, -0.761202385484261780f, 0.648368430371618400f, + -0.761326722568861250f, + 0.648222435882470420f, -0.761451031661653510f, 0.648076417560036530f, + -0.761575312758068000f, + 0.647930375409685460f, -0.761699565853535270f, 0.647784309436786550f, + -0.761823790943486840f, + 0.647638219646710420f, -0.761947988023355390f, 0.647492106044828100f, + -0.762072157088574560f, + 0.647345968636512060f, -0.762196298134578900f, 0.647199807427135230f, + -0.762320411156804160f, + 0.647053622422071650f, -0.762444496150687100f, 0.646907413626696020f, + -0.762568553111665380f, + 0.646761181046383920f, -0.762692582035177870f, 0.646614924686512050f, + -0.762816582916664320f, + 0.646468644552457890f, -0.762940555751565720f, 0.646322340649599590f, + -0.763064500535323710f, + 0.646176012983316390f, -0.763188417263381270f, 0.646029661558988330f, + -0.763312305931182380f, + 0.645883286381996440f, -0.763436166534172010f, 0.645736887457722290f, + -0.763559999067796150f, + 0.645590464791548800f, -0.763683803527501870f, 0.645444018388859230f, + -0.763807579908737160f, + 0.645297548255038380f, -0.763931328206951090f, 0.645151054395471270f, + -0.764055048417593860f, + 0.645004536815544040f, -0.764178740536116670f, 0.644857995520643710f, + -0.764302404557971720f, + 0.644711430516158420f, -0.764426040478612070f, 0.644564841807476750f, + -0.764549648293492150f, + 0.644418229399988380f, -0.764673227998067140f, 0.644271593299083900f, + -0.764796779587793460f, + 0.644124933510154540f, -0.764920303058128410f, 0.643978250038592660f, + -0.765043798404530410f, + 0.643831542889791500f, -0.765167265622458960f, 0.643684812069144960f, + -0.765290704707374260f, + 0.643538057582047850f, -0.765414115654738160f, 0.643391279433895960f, + -0.765537498460013070f, + 0.643244477630085850f, -0.765660853118662390f, 0.643097652176015110f, + -0.765784179626150970f, + 0.642950803077082080f, -0.765907477977944230f, 0.642803930338686100f, + -0.766030748169509000f, + 0.642657033966226860f, -0.766153990196312810f, 0.642510113965105710f, + -0.766277204053824710f, + 0.642363170340724320f, -0.766400389737514120f, 0.642216203098485370f, + -0.766523547242852100f, + 0.642069212243792540f, -0.766646676565310380f, 0.641922197782050170f, + -0.766769777700361920f, + 0.641775159718663500f, -0.766892850643480670f, 0.641628098059038860f, + -0.767015895390141480f, + 0.641481012808583160f, -0.767138911935820400f, 0.641333903972704290f, + -0.767261900275994390f, + 0.641186771556811250f, -0.767384860406141620f, 0.641039615566313390f, + -0.767507792321741270f, + 0.640892436006621380f, -0.767630696018273270f, 0.640745232883146440f, + -0.767753571491219030f, + 0.640598006201301030f, -0.767876418736060610f, 0.640450755966498140f, + -0.767999237748281270f, + 0.640303482184151670f, -0.768122028523365310f, 0.640156184859676620f, + -0.768244791056798220f, + 0.640008863998488440f, -0.768367525344066270f, 0.639861519606004010f, + -0.768490231380656750f, + 0.639714151687640450f, -0.768612909162058270f, 0.639566760248816420f, + -0.768735558683760310f, + 0.639419345294950700f, -0.768858179941253270f, 0.639271906831463510f, + -0.768980772930028870f, + 0.639124444863775730f, -0.769103337645579590f, 0.638976959397309140f, + -0.769225874083399260f, + 0.638829450437486400f, -0.769348382238982280f, 0.638681917989730840f, + -0.769470862107824560f, + 0.638534362059466790f, -0.769593313685422940f, 0.638386782652119680f, + -0.769715736967275020f, + 0.638239179773115390f, -0.769838131948879840f, 0.638091553427880930f, + -0.769960498625737230f, + 0.637943903621844170f, -0.770082836993347900f, 0.637796230360433540f, + -0.770205147047214100f, + 0.637648533649078810f, -0.770327428782838770f, 0.637500813493210310f, + -0.770449682195725960f, + 0.637353069898259130f, -0.770571907281380700f, 0.637205302869657600f, + -0.770694104035309140f, + 0.637057512412838590f, -0.770816272453018430f, 0.636909698533235870f, + -0.770938412530016940f, + 0.636761861236284200f, -0.771060524261813710f, 0.636614000527419230f, + -0.771182607643919220f, + 0.636466116412077180f, -0.771304662671844720f, 0.636318208895695570f, + -0.771426689341102590f, + 0.636170277983712170f, -0.771548687647206300f, 0.636022323681566300f, + -0.771670657585670330f, + 0.635874345994697720f, -0.771792599152010150f, 0.635726344928547180f, + -0.771914512341742350f, + 0.635578320488556230f, -0.772036397150384410f, 0.635430272680167160f, + -0.772158253573455240f, + 0.635282201508823530f, -0.772280081606474320f, 0.635134106979969300f, + -0.772401881244962340f, + 0.634985989099049460f, -0.772523652484441330f, 0.634837847871510100f, + -0.772645395320433860f, + 0.634689683302797850f, -0.772767109748463740f, 0.634541495398360130f, + -0.772888795764056220f, + 0.634393284163645490f, -0.773010453362736990f, 0.634245049604103330f, + -0.773132082540033070f, + 0.634096791725183740f, -0.773253683291472590f, 0.633948510532337810f, + -0.773375255612584470f, + 0.633800206031017280f, -0.773496799498899050f, 0.633651878226674900f, + -0.773618314945947460f, + 0.633503527124764320f, -0.773739801949261840f, 0.633355152730740060f, + -0.773861260504375540f, + 0.633206755050057190f, -0.773982690606822790f, 0.633058334088172250f, + -0.774104092252138940f, + 0.632909889850541860f, -0.774225465435860570f, 0.632761422342624000f, + -0.774346810153525020f, + 0.632612931569877520f, -0.774468126400670860f, 0.632464417537761840f, + -0.774589414172837550f, + 0.632315880251737680f, -0.774710673465565550f, 0.632167319717266030f, + -0.774831904274396850f, + 0.632018735939809060f, -0.774953106594873820f, 0.631870128924829850f, + -0.775074280422540450f, + 0.631721498677792370f, -0.775195425752941310f, 0.631572845204161130f, + -0.775316542581622410f, + 0.631424168509401860f, -0.775437630904130430f, 0.631275468598980870f, + -0.775558690716013580f, + 0.631126745478365340f, -0.775679722012820540f, 0.630977999153023660f, + -0.775800724790101540f, + 0.630829229628424470f, -0.775921699043407580f, 0.630680436910038060f, + -0.776042644768290770f, + 0.630531621003334600f, -0.776163561960304340f, 0.630382781913785940f, + -0.776284450615002400f, + 0.630233919646864480f, -0.776405310727940390f, 0.630085034208043290f, + -0.776526142294674430f, + 0.629936125602796550f, -0.776646945310762060f, 0.629787193836599200f, + -0.776767719771761510f, + 0.629638238914927100f, -0.776888465673232440f, 0.629489260843256740f, + -0.777009183010735290f, + 0.629340259627065750f, -0.777129871779831620f, 0.629191235271832410f, + -0.777250531976084070f, + 0.629042187783036000f, -0.777371163595056200f, 0.628893117166156480f, + -0.777491766632312900f, + 0.628744023426674790f, -0.777612341083419920f, 0.628594906570072660f, + -0.777732886943944050f, + 0.628445766601832710f, -0.777853404209453040f, 0.628296603527438440f, + -0.777973892875515990f, + 0.628147417352374120f, -0.778094352937702790f, 0.627998208082124810f, + -0.778214784391584420f, + 0.627848975722176570f, -0.778335187232733090f, 0.627699720278016240f, + -0.778455561456721900f, + 0.627550441755131530f, -0.778575907059124940f, 0.627401140159011160f, + -0.778696224035517530f, + 0.627251815495144190f, -0.778816512381475870f, 0.627102467769021010f, + -0.778936772092577500f, + 0.626953096986132770f, -0.779057003164400630f, 0.626803703151971310f, + -0.779177205592524680f, + 0.626654286272029460f, -0.779297379372530300f, 0.626504846351800930f, + -0.779417524499998900f, + 0.626355383396779990f, -0.779537640970513150f, 0.626205897412462130f, + -0.779657728779656780f, + 0.626056388404343520f, -0.779777787923014440f, 0.625906856377921210f, + -0.779897818396171890f, + 0.625757301338692900f, -0.780017820194715990f, 0.625607723292157410f, + -0.780137793314234500f, + 0.625458122243814360f, -0.780257737750316590f, 0.625308498199164010f, + -0.780377653498552040f, + 0.625158851163707730f, -0.780497540554531910f, 0.625009181142947460f, + -0.780617398913848290f, + 0.624859488142386450f, -0.780737228572094380f, 0.624709772167528100f, + -0.780857029524864470f, + 0.624560033223877320f, -0.780976801767753750f, 0.624410271316939380f, + -0.781096545296358410f, + 0.624260486452220650f, -0.781216260106276090f, 0.624110678635228510f, + -0.781335946193104870f, + 0.623960847871470770f, -0.781455603552444480f, 0.623810994166456130f, + -0.781575232179895550f, + 0.623661117525694640f, -0.781694832071059390f, 0.623511217954696550f, + -0.781814403221538830f, + 0.623361295458973340f, -0.781933945626937630f, 0.623211350044037270f, + -0.782053459282860300f, + 0.623061381715401370f, -0.782172944184912900f, 0.622911390478579460f, + -0.782292400328702400f, + 0.622761376339086460f, -0.782411827709836420f, 0.622611339302437730f, + -0.782531226323924240f, + 0.622461279374150080f, -0.782650596166575730f, 0.622311196559740320f, + -0.782769937233402050f, + 0.622161090864726930f, -0.782889249520015480f, 0.622010962294628600f, + -0.783008533022029110f, + 0.621860810854965360f, -0.783127787735057310f, 0.621710636551257690f, + -0.783247013654715380f, + 0.621560439389027270f, -0.783366210776619720f, 0.621410219373796150f, + -0.783485379096387820f, + 0.621259976511087660f, -0.783604518609638200f, 0.621109710806425740f, + -0.783723629311990470f, + 0.620959422265335180f, -0.783842711199065230f, 0.620809110893341900f, + -0.783961764266484010f, + 0.620658776695972140f, -0.784080788509869950f, 0.620508419678753360f, + -0.784199783924846570f, + 0.620358039847213830f, -0.784318750507038920f, 0.620207637206882430f, + -0.784437688252072720f, + 0.620057211763289210f, -0.784556597155575240f, 0.619906763521964830f, + -0.784675477213174320f, + 0.619756292488440660f, -0.784794328420499230f, 0.619605798668249390f, + -0.784913150773180020f, + 0.619455282066924020f, -0.785031944266848080f, 0.619304742689998690f, + -0.785150708897135560f, + 0.619154180543008410f, -0.785269444659675850f, 0.619003595631488770f, + -0.785388151550103550f, + 0.618852987960976320f, -0.785506829564053930f, 0.618702357537008640f, + -0.785625478697163700f, + 0.618551704365123860f, -0.785744098945070360f, 0.618401028450860980f, + -0.785862690303412600f, + 0.618250329799760250f, -0.785981252767830150f, 0.618099608417362110f, + -0.786099786333963820f, + 0.617948864309208260f, -0.786218290997455550f, 0.617798097480841140f, + -0.786336766753948260f, + 0.617647307937803980f, -0.786455213599085770f, 0.617496495685640910f, + -0.786573631528513230f, + 0.617345660729896940f, -0.786692020537876680f, 0.617194803076117630f, + -0.786810380622823490f, + 0.617043922729849760f, -0.786928711779001700f, 0.616893019696640790f, + -0.787047014002060790f, + 0.616742093982038830f, -0.787165287287650890f, 0.616591145591593230f, + -0.787283531631423620f, + 0.616440174530853650f, -0.787401747029031320f, 0.616289180805370980f, + -0.787519933476127810f, + 0.616138164420696910f, -0.787638090968367450f, 0.615987125382383870f, + -0.787756219501405950f, + 0.615836063695985090f, -0.787874319070900110f, 0.615684979367054570f, + -0.787992389672507950f, + 0.615533872401147430f, -0.788110431301888070f, 0.615382742803819330f, + -0.788228443954700490f, + 0.615231590580626820f, -0.788346427626606230f, 0.615080415737127460f, + -0.788464382313267430f, + 0.614929218278879590f, -0.788582308010347120f, 0.614777998211442190f, + -0.788700204713509660f, + 0.614626755540375050f, -0.788818072418420170f, 0.614475490271239160f, + -0.788935911120745130f, + 0.614324202409595950f, -0.789053720816151880f, 0.614172891961007990f, + -0.789171501500308790f, + 0.614021558931038490f, -0.789289253168885650f, 0.613870203325251440f, + -0.789406975817552810f, + 0.613718825149211830f, -0.789524669441982190f, 0.613567424408485330f, + -0.789642334037846340f, + 0.613416001108638590f, -0.789759969600819070f, 0.613264555255239150f, + -0.789877576126575280f, + 0.613113086853854910f, -0.789995153610791090f, 0.612961595910055170f, + -0.790112702049143300f, + 0.612810082429409710f, -0.790230221437310030f, 0.612658546417489290f, + -0.790347711770970520f, + 0.612506987879865570f, -0.790465173045804880f, 0.612355406822110760f, + -0.790582605257494460f, + 0.612203803249798060f, -0.790700008401721610f, 0.612052177168501580f, + -0.790817382474169660f, + 0.611900528583796070f, -0.790934727470523290f, 0.611748857501257400f, + -0.791052043386467950f, + 0.611597163926462020f, -0.791169330217690090f, 0.611445447864987110f, + -0.791286587959877720f, + 0.611293709322411010f, -0.791403816608719500f, 0.611141948304312570f, + -0.791521016159905220f, + 0.610990164816271770f, -0.791638186609125770f, 0.610838358863869280f, + -0.791755327952073150f, + 0.610686530452686280f, -0.791872440184440470f, 0.610534679588305320f, + -0.791989523301921850f, + 0.610382806276309480f, -0.792106577300212390f, 0.610230910522282620f, + -0.792223602175008310f, + 0.610078992331809620f, -0.792340597922007060f, 0.609927051710476230f, + -0.792457564536906970f, + 0.609775088663868430f, -0.792574502015407580f, 0.609623103197573730f, + -0.792691410353209450f, + 0.609471095317180240f, -0.792808289546014120f, 0.609319065028276820f, + -0.792925139589524260f, + 0.609167012336453210f, -0.793041960479443640f, 0.609014937247299940f, + -0.793158752211477140f, + 0.608862839766408200f, -0.793275514781330630f, 0.608710719899370420f, + -0.793392248184711100f, + 0.608558577651779450f, -0.793508952417326660f, 0.608406413029229260f, + -0.793625627474886190f, + 0.608254226037314490f, -0.793742273353100100f, 0.608102016681630550f, + -0.793858890047679620f, + 0.607949784967773740f, -0.793975477554337170f, 0.607797530901341140f, + -0.794092035868785960f, + 0.607645254487930830f, -0.794208564986740640f, 0.607492955733141660f, + -0.794325064903916520f, + 0.607340634642572930f, -0.794441535616030590f, 0.607188291221825160f, + -0.794557977118800270f, + 0.607035925476499760f, -0.794674389407944550f, 0.606883537412198580f, + -0.794790772479183170f, + 0.606731127034524480f, -0.794907126328237010f, 0.606578694349081400f, + -0.795023450950828050f, + 0.606426239361473550f, -0.795139746342679590f, 0.606273762077306430f, + -0.795256012499515500f, + 0.606121262502186230f, -0.795372249417061190f, 0.605968740641719790f, + -0.795488457091042990f, + 0.605816196501515080f, -0.795604635517188070f, 0.605663630087180490f, + -0.795720784691225090f, + 0.605511041404325550f, -0.795836904608883460f, 0.605358430458560530f, + -0.795952995265893910f, + 0.605205797255496500f, -0.796069056657987990f, 0.605053141800745430f, + -0.796185088780898440f, + 0.604900464099919930f, -0.796301091630359110f, 0.604747764158633410f, + -0.796417065202104980f, + 0.604595041982500360f, -0.796533009491872000f, 0.604442297577135970f, + -0.796648924495397150f, + 0.604289530948156070f, -0.796764810208418720f, 0.604136742101177630f, + -0.796880666626675780f, + 0.603983931041818020f, -0.796996493745908750f, 0.603831097775695880f, + -0.797112291561858920f, + 0.603678242308430370f, -0.797228060070268700f, 0.603525364645641550f, + -0.797343799266881700f, + 0.603372464792950370f, -0.797459509147442460f, 0.603219542755978440f, + -0.797575189707696590f, + 0.603066598540348280f, -0.797690840943391040f, 0.602913632151683140f, + -0.797806462850273570f, + 0.602760643595607220f, -0.797922055424093000f, 0.602607632877745550f, + -0.798037618660599410f, + 0.602454600003723860f, -0.798153152555543750f, 0.602301544979168550f, + -0.798268657104678310f, + 0.602148467809707320f, -0.798384132303756380f, 0.601995368500968130f, + -0.798499578148532010f, + 0.601842247058580030f, -0.798614994634760820f, 0.601689103488173060f, + -0.798730381758199210f, + 0.601535937795377730f, -0.798845739514604580f, 0.601382749985825420f, + -0.798961067899735760f, + 0.601229540065148620f, -0.799076366909352350f, 0.601076308038980160f, + -0.799191636539215210f, + 0.600923053912954090f, -0.799306876785086160f, 0.600769777692705230f, + -0.799422087642728040f, + 0.600616479383868970f, -0.799537269107905010f, 0.600463158992081690f, + -0.799652421176382130f, + 0.600309816522980430f, -0.799767543843925680f, 0.600156451982203350f, + -0.799882637106302810f, + 0.600003065375389060f, -0.799997700959281910f, 0.599849656708177360f, + -0.800112735398632370f, + 0.599696225986208310f, -0.800227740420124790f, 0.599542773215123390f, + -0.800342716019530660f, + 0.599389298400564540f, -0.800457662192622710f, 0.599235801548174570f, + -0.800572578935174750f, + 0.599082282663597310f, -0.800687466242961500f, 0.598928741752476900f, + -0.800802324111759110f, + 0.598775178820458720f, -0.800917152537344300f, 0.598621593873188920f, + -0.801031951515495330f, + 0.598467986916314310f, -0.801146721041991250f, 0.598314357955482600f, + -0.801261461112612540f, + 0.598160706996342380f, -0.801376171723140130f, 0.598007034044542700f, + -0.801490852869356840f, + 0.597853339105733910f, -0.801605504547046040f, 0.597699622185566830f, + -0.801720126751992330f, + 0.597545883289693270f, -0.801834719479981310f, 0.597392122423765710f, + -0.801949282726799660f, + 0.597238339593437530f, -0.802063816488235440f, 0.597084534804362740f, + -0.802178320760077450f, + 0.596930708062196500f, -0.802292795538115720f, 0.596776859372594500f, + -0.802407240818141300f, + 0.596622988741213330f, -0.802521656595946320f, 0.596469096173710360f, + -0.802636042867324150f, + 0.596315181675743820f, -0.802750399628069160f, 0.596161245252972540f, + -0.802864726873976590f, + 0.596007286911056530f, -0.802979024600843140f, 0.595853306655656390f, + -0.803093292804466400f, + 0.595699304492433470f, -0.803207531480644830f, 0.595545280427049790f, + -0.803321740625178470f, + 0.595391234465168730f, -0.803435920233868120f, 0.595237166612453850f, + -0.803550070302515570f, + 0.595083076874569960f, -0.803664190826924090f, 0.594928965257182420f, + -0.803778281802897570f, + 0.594774831765957580f, -0.803892343226241260f, 0.594620676406562240f, + -0.804006375092761520f, + 0.594466499184664540f, -0.804120377398265700f, 0.594312300105932830f, + -0.804234350138562260f, + 0.594158079176036800f, -0.804348293309460780f, 0.594003836400646690f, + -0.804462206906771840f, + 0.593849571785433630f, -0.804576090926307000f, 0.593695285336069300f, + -0.804689945363879500f, + 0.593540977058226390f, -0.804803770215302810f, 0.593386646957578480f, + -0.804917565476392150f, + 0.593232295039799800f, -0.805031331142963660f, 0.593077921310565580f, + -0.805145067210834120f, + 0.592923525775551410f, -0.805258773675822210f, 0.592769108440434070f, + -0.805372450533747060f, + 0.592614669310891130f, -0.805486097780429120f, 0.592460208392600940f, + -0.805599715411689950f, + 0.592305725691242400f, -0.805713303423352120f, 0.592151221212495640f, + -0.805826861811239300f, + 0.591996694962040990f, -0.805940390571176280f, 0.591842146945560250f, + -0.806053889698988950f, + 0.591687577168735550f, -0.806167359190504310f, 0.591532985637249990f, + -0.806280799041550370f, + 0.591378372356787580f, -0.806394209247956240f, 0.591223737333032910f, + -0.806507589805552260f, + 0.591069080571671510f, -0.806620940710169650f, 0.590914402078389520f, + -0.806734261957640750f, + 0.590759701858874280f, -0.806847553543799220f, 0.590604979918813440f, + -0.806960815464479620f, + 0.590450236263895920f, -0.807074047715517610f, 0.590295470899810940f, + -0.807187250292749850f, + 0.590140683832248940f, -0.807300423192014450f, 0.589985875066900920f, + -0.807413566409150190f, + 0.589831044609458900f, -0.807526679939997160f, 0.589676192465615420f, + -0.807639763780396370f, + 0.589521318641063940f, -0.807752817926190360f, 0.589366423141498790f, + -0.807865842373222120f, + 0.589211505972615070f, -0.807978837117336310f, 0.589056567140108460f, + -0.808091802154378260f, + 0.588901606649675840f, -0.808204737480194720f, 0.588746624507014650f, + -0.808317643090633250f, + 0.588591620717822890f, -0.808430518981542720f, 0.588436595287799900f, + -0.808543365148773010f, + 0.588281548222645330f, -0.808656181588174980f, 0.588126479528059850f, + -0.808768968295600850f, + 0.587971389209745120f, -0.808881725266903610f, 0.587816277273403020f, + -0.808994452497937560f, + 0.587661143724736770f, -0.809107149984558130f, 0.587505988569450020f, + -0.809219817722621750f, + 0.587350811813247660f, -0.809332455707985840f, 0.587195613461834910f, + -0.809445063936509170f, + 0.587040393520918080f, -0.809557642404051260f, 0.586885151996203950f, + -0.809670191106473090f, + 0.586729888893400500f, -0.809782710039636420f, 0.586574604218216280f, + -0.809895199199404450f, + 0.586419297976360500f, -0.810007658581641140f, 0.586263970173543700f, + -0.810120088182211600f, + 0.586108620815476430f, -0.810232487996982330f, 0.585953249907870680f, + -0.810344858021820550f, + 0.585797857456438860f, -0.810457198252594770f, 0.585642443466894420f, + -0.810569508685174630f, + 0.585487007944951450f, -0.810681789315430670f, 0.585331550896324940f, + -0.810794040139234730f, + 0.585176072326730410f, -0.810906261152459670f, 0.585020572241884530f, + -0.811018452350979470f, + 0.584865050647504490f, -0.811130613730669190f, 0.584709507549308500f, + -0.811242745287404810f, + 0.584553942953015330f, -0.811354847017063730f, 0.584398356864344710f, + -0.811466918915524250f, + 0.584242749289016980f, -0.811578960978665890f, 0.584087120232753550f, + -0.811690973202369050f, + 0.583931469701276300f, -0.811802955582515360f, 0.583775797700308070f, + -0.811914908114987680f, + 0.583620104235572760f, -0.812026830795669730f, 0.583464389312794430f, + -0.812138723620446480f, + 0.583308652937698290f, -0.812250586585203880f, 0.583152895116010540f, + -0.812362419685829120f, + 0.582997115853457700f, -0.812474222918210480f, 0.582841315155767650f, + -0.812585996278237020f, + 0.582685493028668460f, -0.812697739761799490f, 0.582529649477889320f, + -0.812809453364789160f, + 0.582373784509160220f, -0.812921137083098770f, 0.582217898128211790f, + -0.813032790912621930f, + 0.582061990340775550f, -0.813144414849253590f, 0.581906061152583920f, + -0.813256008888889380f, + 0.581750110569369760f, -0.813367573027426570f, 0.581594138596866930f, + -0.813479107260763220f, + 0.581438145240810280f, -0.813590611584798510f, 0.581282130506935110f, + -0.813702085995432700f, + 0.581126094400977620f, -0.813813530488567190f, 0.580970036928674880f, + -0.813924945060104490f, + 0.580813958095764530f, -0.814036329705948300f, 0.580657857907985410f, + -0.814147684422003360f, + 0.580501736371076600f, -0.814259009204175270f, 0.580345593490778300f, + -0.814370304048371070f, + 0.580189429272831680f, -0.814481568950498610f, 0.580033243722978150f, + -0.814592803906467270f, + 0.579877036846960350f, -0.814704008912187080f, 0.579720808650521560f, + -0.814815183963569330f, + 0.579564559139405740f, -0.814926329056526620f, 0.579408288319357980f, + -0.815037444186972220f, + 0.579251996196123550f, -0.815148529350820830f, 0.579095682775449210f, + -0.815259584543988280f, + 0.578939348063081890f, -0.815370609762391290f, 0.578782992064769690f, + -0.815481605001947770f, + 0.578626614786261430f, -0.815592570258576680f, 0.578470216233306740f, + -0.815703505528198260f, + 0.578313796411655590f, -0.815814410806733780f, 0.578157355327059360f, + -0.815925286090105390f, + 0.578000892985269910f, -0.816036131374236700f, 0.577844409392039850f, + -0.816146946655052160f, + 0.577687904553122800f, -0.816257731928477390f, 0.577531378474272830f, + -0.816368487190439200f, + 0.577374831161244880f, -0.816479212436865390f, 0.577218262619794920f, + -0.816589907663684890f, + 0.577061672855679550f, -0.816700572866827850f, 0.576905061874655960f, + -0.816811208042225290f, + 0.576748429682482520f, -0.816921813185809480f, 0.576591776284917870f, + -0.817032388293513880f, + 0.576435101687721830f, -0.817142933361272970f, 0.576278405896654910f, + -0.817253448385022230f, + 0.576121688917478390f, -0.817363933360698460f, 0.575964950755954330f, + -0.817474388284239240f, + 0.575808191417845340f, -0.817584813151583710f, 0.575651410908915250f, + -0.817695207958671680f, + 0.575494609234928230f, -0.817805572701444270f, 0.575337786401649560f, + -0.817915907375843740f, + 0.575180942414845190f, -0.818026211977813440f, 0.575024077280281820f, + -0.818136486503297620f, + 0.574867191003726740f, -0.818246730948241960f, 0.574710283590948450f, + -0.818356945308593150f, + 0.574553355047715760f, -0.818467129580298660f, 0.574396405379798750f, + -0.818577283759307490f, + 0.574239434592967890f, -0.818687407841569570f, 0.574082442692994470f, + -0.818797501823036010f, + 0.573925429685650750f, -0.818907565699658950f, 0.573768395576709560f, + -0.819017599467391500f, + 0.573611340371944610f, -0.819127603122188240f, 0.573454264077130400f, + -0.819237576660004520f, + 0.573297166698042320f, -0.819347520076796900f, 0.573140048240456060f, + -0.819457433368523280f, + 0.572982908710148680f, -0.819567316531142230f, 0.572825748112897550f, + -0.819677169560613760f, + 0.572668566454481160f, -0.819786992452898990f, 0.572511363740678790f, + -0.819896785203959810f, + 0.572354139977270030f, -0.820006547809759680f, 0.572196895170035580f, + -0.820116280266262710f, + 0.572039629324757050f, -0.820225982569434690f, 0.571882342447216590f, + -0.820335654715241840f, + 0.571725034543197120f, -0.820445296699652050f, 0.571567705618482580f, + -0.820554908518633890f, + 0.571410355678857340f, -0.820664490168157460f, 0.571252984730106660f, + -0.820774041644193650f, + 0.571095592778016690f, -0.820883562942714580f, 0.570938179828374360f, + -0.820993054059693470f, + 0.570780745886967370f, -0.821102514991104650f, 0.570623290959583860f, + -0.821211945732923550f, + 0.570465815052012990f, -0.821321346281126740f, 0.570308318170045010f, + -0.821430716631691760f, + 0.570150800319470300f, -0.821540056780597610f, 0.569993261506080650f, + -0.821649366723823830f, + 0.569835701735668110f, -0.821758646457351640f, 0.569678121014025710f, + -0.821867895977163140f, + 0.569520519346947250f, -0.821977115279241550f, 0.569362896740227330f, + -0.822086304359571090f, + 0.569205253199661200f, -0.822195463214137170f, 0.569047588731045220f, + -0.822304591838926350f, + 0.568889903340175970f, -0.822413690229926390f, 0.568732197032851160f, + -0.822522758383125940f, + 0.568574469814869250f, -0.822631796294514990f, 0.568416721692029390f, + -0.822740803960084420f, + 0.568258952670131490f, -0.822849781375826320f, 0.568101162754976570f, + -0.822958728537734000f, + 0.567943351952365670f, -0.823067645441801670f, 0.567785520268101250f, + -0.823176532084024860f, + 0.567627667707986230f, -0.823285388460400110f, 0.567469794277824620f, + -0.823394214566925080f, + 0.567311899983420800f, -0.823503010399598390f, 0.567153984830580100f, + -0.823611775954420260f, + 0.566996048825108680f, -0.823720511227391320f, 0.566838091972813320f, + -0.823829216214513990f, + 0.566680114279501710f, -0.823937890911791370f, 0.566522115750982100f, + -0.824046535315227760f, + 0.566364096393063950f, -0.824155149420828570f, 0.566206056211556840f, + -0.824263733224600450f, + 0.566047995212271560f, -0.824372286722551250f, 0.565889913401019570f, + -0.824480809910689500f, + 0.565731810783613230f, -0.824589302785025290f, 0.565573687365865440f, + -0.824697765341569470f, + 0.565415543153589770f, -0.824806197576334330f, 0.565257378152600910f, + -0.824914599485333080f, + 0.565099192368714090f, -0.825022971064580220f, 0.564940985807745320f, + -0.825131312310090960f, + 0.564782758475511400f, -0.825239623217882130f, 0.564624510377830120f, + -0.825347903783971380f, + 0.564466241520519500f, -0.825456154004377440f, 0.564307951909398750f, + -0.825564373875120490f, + 0.564149641550287680f, -0.825672563392221390f, 0.563991310449007080f, + -0.825780722551702430f, + 0.563832958611378170f, -0.825888851349586780f, 0.563674586043223180f, + -0.825996949781898970f, + 0.563516192750364910f, -0.826105017844664610f, 0.563357778738627020f, + -0.826213055533910110f, + 0.563199344013834090f, -0.826321062845663420f, 0.563040888581811230f, + -0.826429039775953390f, + 0.562882412448384550f, -0.826536986320809960f, 0.562723915619380400f, + -0.826644902476264210f, + 0.562565398100626560f, -0.826752788238348520f, 0.562406859897951140f, + -0.826860643603096080f, + 0.562248301017183150f, -0.826968468566541490f, 0.562089721464152480f, + -0.827076263124720270f, + 0.561931121244689470f, -0.827184027273669020f, 0.561772500364625450f, + -0.827291761009425810f, + 0.561613858829792420f, -0.827399464328029350f, 0.561455196646023280f, + -0.827507137225519830f, + 0.561296513819151470f, -0.827614779697938400f, 0.561137810355011530f, + -0.827722391741327220f, + 0.560979086259438260f, -0.827829973351729810f, 0.560820341538267540f, + -0.827937524525190870f, + 0.560661576197336030f, -0.828045045257755800f, 0.560502790242481060f, + -0.828152535545471410f, + 0.560343983679540860f, -0.828259995384385550f, 0.560185156514354080f, + -0.828367424770547480f, + 0.560026308752760380f, -0.828474823700007130f, 0.559867440400600320f, + -0.828582192168815790f, + 0.559708551463714790f, -0.828689530173025710f, 0.559549641947945870f, + -0.828796837708690610f, + 0.559390711859136140f, -0.828904114771864870f, 0.559231761203129010f, + -0.829011361358604430f, + 0.559072789985768480f, -0.829118577464965980f, 0.558913798212899770f, + -0.829225763087007570f, + 0.558754785890368310f, -0.829332918220788250f, 0.558595753024020760f, + -0.829440042862368170f, + 0.558436699619704100f, -0.829547137007808800f, 0.558277625683266330f, + -0.829654200653172640f, + 0.558118531220556100f, -0.829761233794523050f, 0.557959416237422960f, + -0.829868236427924840f, + 0.557800280739717100f, -0.829975208549443840f, 0.557641124733289420f, + -0.830082150155146970f, + 0.557481948223991660f, -0.830189061241102370f, 0.557322751217676160f, + -0.830295941803379070f, + 0.557163533720196340f, -0.830402791838047550f, 0.557004295737406060f, + -0.830509611341179070f, + 0.556845037275160100f, -0.830616400308846200f, 0.556685758339313890f, + -0.830723158737122880f, + 0.556526458935723720f, -0.830829886622083570f, 0.556367139070246490f, + -0.830936583959804410f, + 0.556207798748739930f, -0.831043250746362320f, 0.556048437977062720f, + -0.831149886977835430f, + 0.555889056761073920f, -0.831256492650303210f, 0.555729655106633520f, + -0.831363067759845920f, + 0.555570233019602290f, -0.831469612302545240f, 0.555410790505841740f, + -0.831576126274483630f, + 0.555251327571214090f, -0.831682609671745120f, 0.555091844221582420f, + -0.831789062490414400f, + 0.554932340462810370f, -0.831895484726577590f, 0.554772816300762580f, + -0.832001876376321840f, + 0.554613271741304040f, -0.832108237435735480f, 0.554453706790301040f, + -0.832214567900907980f, + 0.554294121453620110f, -0.832320867767929680f, 0.554134515737128910f, + -0.832427137032892280f, + 0.553974889646695610f, -0.832533375691888680f, 0.553815243188189090f, + -0.832639583741012770f, + 0.553655576367479310f, -0.832745761176359460f, 0.553495889190436570f, + -0.832851907994024980f, + 0.553336181662932410f, -0.832958024190106670f, 0.553176453790838460f, + -0.833064109760702890f, + 0.553016705580027580f, -0.833170164701913190f, 0.552856937036373290f, + -0.833276189009838240f, + 0.552697148165749770f, -0.833382182680579730f, 0.552537338974032120f, + -0.833488145710240770f, + 0.552377509467096070f, -0.833594078094925140f, 0.552217659650817930f, + -0.833699979830738290f, + 0.552057789531074980f, -0.833805850913786340f, 0.551897899113745320f, + -0.833911691340176730f, + 0.551737988404707450f, -0.834017501106018130f, 0.551578057409841000f, + -0.834123280207419990f, + 0.551418106135026060f, -0.834229028640493420f, 0.551258134586143700f, + -0.834334746401350080f, + 0.551098142769075430f, -0.834440433486103190f, 0.550938130689703880f, + -0.834546089890866760f, + 0.550778098353912230f, -0.834651715611756330f, 0.550618045767584330f, + -0.834757310644888230f, + 0.550457972936604810f, -0.834862874986380010f, 0.550297879866859190f, + -0.834968408632350450f, + 0.550137766564233630f, -0.835073911578919300f, 0.549977633034615000f, + -0.835179383822207580f, + 0.549817479283891020f, -0.835284825358337370f, 0.549657305317949980f, + -0.835390236183431780f, + 0.549497111142680960f, -0.835495616293615350f, 0.549336896763974010f, + -0.835600965685013410f, + 0.549176662187719770f, -0.835706284353752600f, 0.549016407419809390f, + -0.835811572295960590f, + 0.548856132466135290f, -0.835916829507766360f, 0.548695837332590090f, + -0.836022055985299880f, + 0.548535522025067390f, -0.836127251724692160f, 0.548375186549461600f, + -0.836232416722075600f, + 0.548214830911667780f, -0.836337550973583530f, 0.548054455117581880f, + -0.836442654475350380f, + 0.547894059173100190f, -0.836547727223511890f, 0.547733643084120200f, + -0.836652769214204950f, + 0.547573206856539870f, -0.836757780443567190f, 0.547412750496257930f, + -0.836862760907737810f, + 0.547252274009174090f, -0.836967710602857020f, 0.547091777401188530f, + -0.837072629525066000f, + 0.546931260678202190f, -0.837177517670507190f, 0.546770723846116800f, + -0.837282375035324320f, + 0.546610166910834860f, -0.837387201615661940f, 0.546449589878259760f, + -0.837491997407665890f, + 0.546288992754295210f, -0.837596762407483040f, 0.546128375544846060f, + -0.837701496611261700f, + 0.545967738255817680f, -0.837806200015150940f, 0.545807080893116140f, + -0.837910872615301060f, + 0.545646403462648590f, -0.838015514407863700f, 0.545485705970322530f, + -0.838120125388991500f, + 0.545324988422046460f, -0.838224705554837970f, 0.545164250823729320f, + -0.838329254901558300f, + 0.545003493181281160f, -0.838433773425308340f, 0.544842715500612470f, + -0.838538261122245170f, + 0.544681917787634530f, -0.838642717988527300f, 0.544521100048259710f, + -0.838747144020313920f, + 0.544360262288400400f, -0.838851539213765760f, 0.544199404513970420f, + -0.838955903565044350f, + 0.544038526730883930f, -0.839060237070312630f, 0.543877628945055980f, + -0.839164539725734570f, + 0.543716711162402390f, -0.839268811527475230f, 0.543555773388839650f, + -0.839373052471700690f, + 0.543394815630284800f, -0.839477262554578550f, 0.543233837892656000f, + -0.839581441772277120f, + 0.543072840181871850f, -0.839685590120966110f, 0.542911822503851730f, + -0.839789707596816260f, + 0.542750784864516000f, -0.839893794195999410f, 0.542589727269785270f, + -0.839997849914688730f, + 0.542428649725581360f, -0.840101874749058400f, 0.542267552237826520f, + -0.840205868695283580f, + 0.542106434812444030f, -0.840309831749540770f, 0.541945297455357470f, + -0.840413763908007480f, + 0.541784140172491660f, -0.840517665166862440f, 0.541622962969771640f, + -0.840621535522285690f, + 0.541461765853123560f, -0.840725374970458070f, 0.541300548828474120f, + -0.840829183507561640f, + 0.541139311901750910f, -0.840932961129779670f, 0.540978055078882190f, + -0.841036707833296650f, + 0.540816778365796670f, -0.841140423614298080f, 0.540655481768424260f, + -0.841244108468970580f, + 0.540494165292695230f, -0.841347762393501950f, 0.540332828944540820f, + -0.841451385384081260f, + 0.540171472729892970f, -0.841554977436898330f, 0.540010096654684020f, + -0.841658538548144760f, + 0.539848700724847700f, -0.841762068714012490f, 0.539687284946317570f, + -0.841865567930695340f, + 0.539525849325029010f, -0.841969036194387680f, 0.539364393866917150f, + -0.842072473501285450f, + 0.539202918577918240f, -0.842175879847585570f, 0.539041423463969550f, + -0.842279255229485880f, + 0.538879908531008420f, -0.842382599643185960f, 0.538718373784973670f, + -0.842485913084885630f, + 0.538556819231804210f, -0.842589195550786600f, 0.538395244877439950f, + -0.842692447037091560f, + 0.538233650727821700f, -0.842795667540004120f, 0.538072036788890600f, + -0.842898857055729310f, + 0.537910403066588990f, -0.843002015580472830f, 0.537748749566859470f, + -0.843105143110442050f, + 0.537587076295645510f, -0.843208239641845440f, 0.537425383258891660f, + -0.843311305170892030f, + 0.537263670462542530f, -0.843414339693792760f, 0.537101937912544240f, + -0.843517343206759080f, + 0.536940185614843020f, -0.843620315706004040f, 0.536778413575385920f, + -0.843723257187741550f, + 0.536616621800121150f, -0.843826167648186740f, 0.536454810294997090f, + -0.843929047083555870f, + 0.536292979065963180f, -0.844031895490066410f, 0.536131128118969350f, + -0.844134712863936930f, + 0.535969257459966710f, -0.844237499201387020f, 0.535807367094906620f, + -0.844340254498637590f, + 0.535645457029741090f, -0.844442978751910660f, 0.535483527270423370f, + -0.844545671957429240f, + 0.535321577822907010f, -0.844648334111417820f, 0.535159608693146720f, + -0.844750965210101510f, + 0.534997619887097260f, -0.844853565249707010f, 0.534835611410714670f, + -0.844956134226462100f, + 0.534673583269955510f, -0.845058672136595470f, 0.534511535470777010f, + -0.845161178976337140f, + 0.534349468019137520f, -0.845263654741918220f, 0.534187380920995600f, + -0.845366099429570970f, + 0.534025274182310380f, -0.845468513035528830f, 0.533863147809042650f, + -0.845570895556026270f, + 0.533701001807152960f, -0.845673246987299070f, 0.533538836182603120f, + -0.845775567325583900f, + 0.533376650941355560f, -0.845877856567118890f, 0.533214446089372960f, + -0.845980114708143270f, + 0.533052221632619670f, -0.846082341744896940f, 0.532889977577059690f, + -0.846184537673621670f, + 0.532727713928658810f, -0.846286702490559710f, 0.532565430693382580f, + -0.846388836191954930f, + 0.532403127877198010f, -0.846490938774052020f, 0.532240805486072330f, + -0.846593010233097190f, + 0.532078463525973540f, -0.846695050565337450f, 0.531916102002870760f, + -0.846797059767020910f, + 0.531753720922733320f, -0.846899037834397350f, 0.531591320291531780f, + -0.847000984763716880f, + 0.531428900115236910f, -0.847102900551231500f, 0.531266460399820390f, + -0.847204785193193980f, + 0.531104001151255000f, -0.847306638685858320f, 0.530941522375513510f, + -0.847408461025479730f, + 0.530779024078570250f, -0.847510252208314330f, 0.530616506266399450f, + -0.847612012230619660f, + 0.530453968944976320f, -0.847713741088654270f, 0.530291412120277420f, + -0.847815438778677930f, + 0.530128835798278850f, -0.847917105296951410f, 0.529966239984958620f, + -0.848018740639736810f, + 0.529803624686294830f, -0.848120344803297120f, 0.529640989908265910f, + -0.848221917783896990f, + 0.529478335656852090f, -0.848323459577801530f, 0.529315661938033140f, + -0.848424970181277600f, + 0.529152968757790720f, -0.848526449590592650f, 0.528990256122106040f, + -0.848627897802015860f, + 0.528827524036961980f, -0.848729314811817010f, 0.528664772508341540f, + -0.848830700616267530f, + 0.528502001542228480f, -0.848932055211639610f, 0.528339211144607690f, + -0.849033378594206690f, + 0.528176401321464370f, -0.849134670760243630f, 0.528013572078784740f, + -0.849235931706025960f, + 0.527850723422555460f, -0.849337161427830670f, 0.527687855358763720f, + -0.849438359921935950f, + 0.527524967893398200f, -0.849539527184620890f, 0.527362061032447430f, + -0.849640663212165910f, + 0.527199134781901390f, -0.849741768000852440f, 0.527036189147750190f, + -0.849842841546963210f, + 0.526873224135984700f, -0.849943883846782210f, 0.526710239752597010f, + -0.850044894896594070f, + 0.526547236003579330f, -0.850145874692685210f, 0.526384212894925210f, + -0.850246823231342710f, + 0.526221170432628170f, -0.850347740508854980f, 0.526058108622682760f, + -0.850448626521511650f, + 0.525895027471084740f, -0.850549481265603370f, 0.525731926983829640f, + -0.850650304737422200f, + 0.525568807166914680f, -0.850751096933260790f, 0.525405668026336810f, + -0.850851857849413640f, + 0.525242509568094710f, -0.850952587482175730f, 0.525079331798186890f, + -0.851053285827843790f, + 0.524916134722612890f, -0.851153952882715340f, 0.524752918347373360f, + -0.851254588643089120f, + 0.524589682678468840f, -0.851355193105265200f, 0.524426427721901510f, + -0.851455766265544310f, + 0.524263153483673470f, -0.851556308120228870f, 0.524099859969787810f, + -0.851656818665622370f, + 0.523936547186248600f, -0.851757297898029120f, 0.523773215139060170f, + -0.851857745813754840f, + 0.523609863834228030f, -0.851958162409106380f, 0.523446493277757940f, + -0.852058547680391580f, + 0.523283103475656430f, -0.852158901623919830f, 0.523119694433931250f, + -0.852259224236001090f, + 0.522956266158590140f, -0.852359515512947090f, 0.522792818655642200f, + -0.852459775451070100f, + 0.522629351931096720f, -0.852560004046683970f, 0.522465865990963900f, + -0.852660201296103760f, + 0.522302360841254700f, -0.852760367195645300f, 0.522138836487980650f, + -0.852860501741625860f, + 0.521975292937154390f, -0.852960604930363630f, 0.521811730194788550f, + -0.853060676758178320f, + 0.521648148266897090f, -0.853160717221390420f, 0.521484547159494550f, + -0.853260726316321770f, + 0.521320926878595550f, -0.853360704039295430f, 0.521157287430216610f, + -0.853460650386635320f, + 0.520993628820373810f, -0.853560565354666840f, 0.520829951055084780f, + -0.853660448939716270f, + 0.520666254140367270f, -0.853760301138111300f, 0.520502538082239790f, + -0.853860121946180660f, + 0.520338802886721960f, -0.853959911360254060f, 0.520175048559833760f, + -0.854059669376662780f, + 0.520011275107596040f, -0.854159395991738730f, 0.519847482536030300f, + -0.854259091201815420f, + 0.519683670851158520f, -0.854358755003227440f, 0.519519840059003870f, + -0.854458387392310060f, + 0.519355990165589530f, -0.854557988365400530f, 0.519192121176940360f, + -0.854657557918836460f, + 0.519028233099080970f, -0.854757096048957110f, 0.518864325938037000f, + -0.854856602752102850f, + 0.518700399699835170f, -0.854956078024614820f, 0.518536454390502110f, + -0.855055521862835950f, + 0.518372490016066220f, -0.855154934263109620f, 0.518208506582555460f, + -0.855254315221781080f, + 0.518044504095999340f, -0.855353664735196030f, 0.517880482562427800f, + -0.855452982799701830f, + 0.517716441987871150f, -0.855552269411646970f, 0.517552382378360990f, + -0.855651524567380690f, + 0.517388303739929060f, -0.855750748263253920f, 0.517224206078608310f, + -0.855849940495618240f, + 0.517060089400432130f, -0.855949101260826790f, 0.516895953711434260f, + -0.856048230555233820f, + 0.516731799017649980f, -0.856147328375194470f, 0.516567625325114350f, + -0.856246394717065210f, + 0.516403432639863990f, -0.856345429577203610f, 0.516239220967935620f, + -0.856444432951968480f, + 0.516074990315366630f, -0.856543404837719960f, 0.515910740688195650f, + -0.856642345230818720f, + 0.515746472092461380f, -0.856741254127627470f, 0.515582184534203790f, + -0.856840131524509220f, + 0.515417878019463150f, -0.856938977417828650f, 0.515253552554280290f, + -0.857037791803951680f, + 0.515089208144697270f, -0.857136574679244870f, 0.514924844796756490f, + -0.857235326040076460f, + 0.514760462516501200f, -0.857334045882815590f, 0.514596061309975040f, + -0.857432734203832700f, + 0.514431641183222930f, -0.857531390999499040f, 0.514267202142289830f, + -0.857630016266187620f, + 0.514102744193221660f, -0.857728610000272120f, 0.513938267342065490f, + -0.857827172198127320f, + 0.513773771594868030f, -0.857925702856129790f, 0.513609256957677900f, + -0.858024201970656540f, + 0.513444723436543570f, -0.858122669538086020f, 0.513280171037514330f, + -0.858221105554798250f, + 0.513115599766640560f, -0.858319510017173440f, 0.512951009629972860f, + -0.858417882921594040f, + 0.512786400633563070f, -0.858516224264442740f, 0.512621772783463100f, + -0.858614534042104080f, + 0.512457126085725800f, -0.858712812250963520f, 0.512292460546404980f, + -0.858811058887407500f, + 0.512127776171554690f, -0.858909273947823900f, 0.511963072967230200f, + -0.859007457428601410f, + 0.511798350939487000f, -0.859105609326130340f, 0.511633610094381350f, + -0.859203729636801920f, + 0.511468850437970520f, -0.859301818357008360f, 0.511304071976311890f, + -0.859399875483143450f, + 0.511139274715464390f, -0.859497901011601620f, 0.510974458661486720f, + -0.859595894938779080f, + 0.510809623820439040f, -0.859693857261072610f, 0.510644770198381730f, + -0.859791787974880540f, + 0.510479897801375700f, -0.859889687076602290f, 0.510315006635483350f, + -0.859987554562638200f, + 0.510150096706766700f, -0.860085390429390140f, 0.509985168021289570f, + -0.860183194673260880f, + 0.509820220585115560f, -0.860280967290654510f, 0.509655254404309250f, + -0.860378708277976130f, + 0.509490269484936360f, -0.860476417631632070f, 0.509325265833062480f, + -0.860574095348029980f, + 0.509160243454754750f, -0.860671741423578380f, 0.508995202356080310f, + -0.860769355854687060f, + 0.508830142543106990f, -0.860866938637767310f, 0.508665064021904260f, + -0.860964489769230900f, + 0.508499966798540810f, -0.861062009245491480f, 0.508334850879087470f, + -0.861159497062963350f, + 0.508169716269614710f, -0.861256953218062060f, 0.508004562976194010f, + -0.861354377707204800f, + 0.507839391004897940f, -0.861451770526809210f, 0.507674200361798890f, + -0.861549131673294720f, + 0.507508991052970870f, -0.861646461143081300f, 0.507343763084487920f, + -0.861743758932590700f, + 0.507178516462425290f, -0.861841025038245330f, 0.507013251192858340f, + -0.861938259456469180f, + 0.506847967281863320f, -0.862035462183687210f, 0.506682664735517600f, + -0.862132633216325380f, + 0.506517343559898530f, -0.862229772550811240f, 0.506352003761084800f, + -0.862326880183573060f, + 0.506186645345155450f, -0.862423956111040500f, 0.506021268318189830f, + -0.862521000329644520f, + 0.505855872686268860f, -0.862618012835816740f, 0.505690458455473340f, + -0.862714993625990690f, + 0.505525025631885510f, -0.862811942696600330f, 0.505359574221587390f, + -0.862908860044081290f, + 0.505194104230662240f, -0.863005745664870210f, 0.505028615665194300f, + -0.863102599555404800f, + 0.504863108531267480f, -0.863199421712124160f, 0.504697582834967680f, + -0.863296212131468230f, + 0.504532038582380380f, -0.863392970809878310f, 0.504366475779592150f, + -0.863489697743797140f, + 0.504200894432690560f, -0.863586392929667990f, 0.504035294547763080f, + -0.863683056363935940f, + 0.503869676130898950f, -0.863779688043046610f, 0.503704039188186960f, + -0.863876287963447510f, + 0.503538383725717580f, -0.863972856121586700f, 0.503372709749581150f, + -0.864069392513913680f, + 0.503207017265869030f, -0.864165897136879300f, 0.503041306280673450f, + -0.864262369986934950f, + 0.502875576800086880f, -0.864358811060534030f, 0.502709828830203100f, + -0.864455220354130250f, + 0.502544062377115800f, -0.864551597864179230f, 0.502378277446919870f, + -0.864647943587137480f, + 0.502212474045710900f, -0.864744257519462380f, 0.502046652179584660f, + -0.864840539657612980f, + 0.501880811854638400f, -0.864936789998049020f, 0.501714953076969230f, + -0.865033008537231750f, + 0.501549075852675390f, -0.865129195271623690f, 0.501383180187855880f, + -0.865225350197688090f, + 0.501217266088609950f, -0.865321473311889800f, 0.501051333561038040f, + -0.865417564610694410f, + 0.500885382611240940f, -0.865513624090568980f, 0.500719413245319880f, + -0.865609651747981880f, + 0.500553425469377640f, -0.865705647579402270f, 0.500387419289516580f, + -0.865801611581300760f, + 0.500221394711840680f, -0.865897543750148820f, 0.500055351742453860f, + -0.865993444082419520f, + 0.499889290387461380f, -0.866089312574586770f, 0.499723210652968710f, + -0.866185149223125730f, + 0.499557112545081890f, -0.866280954024512990f, 0.499390996069908220f, + -0.866376726975225830f, + 0.499224861233555030f, -0.866472468071743050f, 0.499058708042130930f, + -0.866568177310544360f, + 0.498892536501744750f, -0.866663854688111020f, 0.498726346618505960f, + -0.866759500200925290f, + 0.498560138398525200f, -0.866855113845470320f, 0.498393911847913150f, + -0.866950695618231020f, + 0.498227666972781870f, -0.867046245515692650f, 0.498061403779243520f, + -0.867141763534342360f, + 0.497895122273410930f, -0.867237249670668400f, 0.497728822461398100f, + -0.867332703921159690f, + 0.497562504349319090f, -0.867428126282306920f, 0.497396167943289340f, + -0.867523516750601460f, + 0.497229813249424340f, -0.867618875322536230f, 0.497063440273840310f, + -0.867714201994605140f, + 0.496897049022654640f, -0.867809496763303210f, 0.496730639501984710f, + -0.867904759625126920f, + 0.496564211717949340f, -0.867999990576573400f, 0.496397765676667160f, + -0.868095189614141670f, + 0.496231301384258310f, -0.868190356734331310f, 0.496064818846843060f, + -0.868285491933643240f, + 0.495898318070542240f, -0.868380595208579800f, 0.495731799061478020f, + -0.868475666555644120f, + 0.495565261825772490f, -0.868570705971340900f, 0.495398706369549080f, + -0.868665713452175580f, + 0.495232132698931350f, -0.868760688994655190f, 0.495065540820043610f, + -0.868855632595287750f, + 0.494898930739011310f, -0.868950544250582380f, 0.494732302461959820f, + -0.869045423957049530f, + 0.494565655995016010f, -0.869140271711200560f, 0.494398991344306760f, + -0.869235087509548250f, + 0.494232308515959730f, -0.869329871348606730f, 0.494065607516103730f, + -0.869424623224890780f, + 0.493898888350867430f, -0.869519343134916970f, 0.493732151026381070f, + -0.869614031075202300f, + 0.493565395548774880f, -0.869708687042265560f, 0.493398621924179830f, + -0.869803311032626650f, + 0.493231830158728070f, -0.869897903042806340f, 0.493065020258551650f, + -0.869992463069326870f, + 0.492898192229784090f, -0.870086991108711350f, 0.492731346078558840f, + -0.870181487157484560f, + 0.492564481811010650f, -0.870275951212171830f, 0.492397599433274550f, + -0.870370383269300160f, + 0.492230698951486080f, -0.870464783325397670f, 0.492063780371782060f, + -0.870559151376993250f, + 0.491896843700299240f, -0.870653487420617540f, 0.491729888943175820f, + -0.870747791452801790f, + 0.491562916106550060f, -0.870842063470078860f, 0.491395925196560830f, + -0.870936303468982760f, + 0.491228916219348330f, -0.871030511446048260f, 0.491061889181052590f, + -0.871124687397811900f, + 0.490894844087815140f, -0.871218831320810900f, 0.490727780945777570f, + -0.871312943211583920f, + 0.490560699761082080f, -0.871407023066670950f, 0.490393600539872130f, + -0.871501070882612530f, + 0.490226483288291100f, -0.871595086655951090f, 0.490059348012483910f, + -0.871689070383229740f, + 0.489892194718595300f, -0.871783022060993010f, 0.489725023412770970f, + -0.871876941685786890f, + 0.489557834101157550f, -0.871970829254157700f, 0.489390626789901920f, + -0.872064684762653970f, + 0.489223401485152030f, -0.872158508207824480f, 0.489056158193055980f, + -0.872252299586219860f, + 0.488888896919763230f, -0.872346058894391540f, 0.488721617671423250f, + -0.872439786128892280f, + 0.488554320454186230f, -0.872533481286276060f, 0.488387005274203590f, + -0.872627144363097960f, + 0.488219672137626740f, -0.872720775355914300f, 0.488052321050608310f, + -0.872814374261282390f, + 0.487884952019301210f, -0.872907941075760970f, 0.487717565049858860f, + -0.873001475795909920f, + 0.487550160148436050f, -0.873094978418290090f, 0.487382737321187310f, + -0.873188448939463790f, + 0.487215296574268820f, -0.873281887355994210f, 0.487047837913836550f, + -0.873375293664446000f, + 0.486880361346047400f, -0.873468667861384880f, 0.486712866877059340f, + -0.873562009943377740f, + 0.486545354513030270f, -0.873655319906992630f, 0.486377824260119500f, + -0.873748597748798870f, + 0.486210276124486530f, -0.873841843465366750f, 0.486042710112291390f, + -0.873935057053268130f, + 0.485875126229695420f, -0.874028238509075630f, 0.485707524482859750f, + -0.874121387829363330f, + 0.485539904877947020f, -0.874214505010706300f, 0.485372267421119770f, + -0.874307590049680950f, + 0.485204612118541880f, -0.874400642942864790f, 0.485036938976377450f, + -0.874493663686836450f, + 0.484869248000791120f, -0.874586652278176110f, 0.484701539197948730f, + -0.874679608713464510f, + 0.484533812574016120f, -0.874772532989284150f, 0.484366068135160480f, + -0.874865425102218210f, + 0.484198305887549140f, -0.874958285048851540f, 0.484030525837350010f, + -0.875051112825769970f, + 0.483862727990732320f, -0.875143908429560250f, 0.483694912353865080f, + -0.875236671856810870f, + 0.483527078932918740f, -0.875329403104110780f, 0.483359227734063980f, + -0.875422102168050830f, + 0.483191358763471910f, -0.875514769045222740f, 0.483023472027315050f, + -0.875607403732219240f, + 0.482855567531765670f, -0.875700006225634600f, 0.482687645282997510f, + -0.875792576522063880f, + 0.482519705287184520f, -0.875885114618103700f, 0.482351747550501030f, + -0.875977620510351660f, + 0.482183772079122830f, -0.876070094195406600f, 0.482015778879225530f, + -0.876162535669868460f, + 0.481847767956986080f, -0.876254944930338400f, 0.481679739318581490f, + -0.876347321973419020f, + 0.481511692970189920f, -0.876439666795713610f, 0.481343628917989870f, + -0.876531979393827100f, + 0.481175547168160360f, -0.876624259764365310f, 0.481007447726881640f, + -0.876716507903935400f, + 0.480839330600333900f, -0.876808723809145760f, 0.480671195794698690f, + -0.876900907476605650f, + 0.480503043316157670f, -0.876993058902925780f, 0.480334873170893070f, + -0.877085178084718310f, + 0.480166685365088440f, -0.877177265018595940f, 0.479998479904927220f, + -0.877269319701173170f, + 0.479830256796594250f, -0.877361342129065140f, 0.479662016046274340f, + -0.877453332298888560f, + 0.479493757660153060f, -0.877545290207261240f, 0.479325481644417130f, + -0.877637215850802120f, + 0.479157188005253310f, -0.877729109226131570f, 0.478988876748849550f, + -0.877820970329870500f, + 0.478820547881394050f, -0.877912799158641730f, 0.478652201409075550f, + -0.878004595709069080f, + 0.478483837338084080f, -0.878096359977777130f, 0.478315455674609480f, + -0.878188091961392250f, + 0.478147056424843120f, -0.878279791656541460f, 0.477978639594976110f, + -0.878371459059853590f, + 0.477810205191201040f, -0.878463094167957870f, 0.477641753219710590f, + -0.878554696977485340f, + 0.477473283686698060f, -0.878646267485068130f, 0.477304796598358010f, + -0.878737805687339280f, + 0.477136291960884750f, -0.878829311580933360f, 0.476967769780474230f, + -0.878920785162485840f, + 0.476799230063322250f, -0.879012226428633410f, 0.476630672815625380f, + -0.879103635376014330f, + 0.476462098043581310f, -0.879195012001267370f, 0.476293505753387750f, + -0.879286356301033250f, + 0.476124895951243630f, -0.879377668271953180f, 0.475956268643348220f, + -0.879468947910670100f, + 0.475787623835901120f, -0.879560195213827890f, 0.475618961535103410f, + -0.879651410178071470f, + 0.475450281747155870f, -0.879742592800047410f, 0.475281584478260800f, + -0.879833743076402940f, + 0.475112869734620470f, -0.879924861003786860f, 0.474944137522437860f, + -0.880015946578848960f, + 0.474775387847917230f, -0.880106999798240360f, 0.474606620717262560f, + -0.880198020658613190f, + 0.474437836136679340f, -0.880289009156620890f, 0.474269034112372920f, + -0.880379965288918260f, + 0.474100214650550020f, -0.880470889052160750f, 0.473931377757417560f, + -0.880561780443005590f, + 0.473762523439182850f, -0.880652639458111010f, 0.473593651702054640f, + -0.880743466094136230f, + 0.473424762552241530f, -0.880834260347742040f, 0.473255855995953380f, + -0.880925022215589880f, + 0.473086932039400220f, -0.881015751694342760f, 0.472917990688792760f, + -0.881106448780665130f, + 0.472749031950342900f, -0.881197113471221980f, 0.472580055830262250f, + -0.881287745762680100f, + 0.472411062334764100f, -0.881378345651706810f, 0.472242051470061650f, + -0.881468913134971330f, + 0.472073023242368660f, -0.881559448209143780f, 0.471903977657900320f, + -0.881649950870895260f, + 0.471734914722871430f, -0.881740421116898320f, 0.471565834443498480f, + -0.881830858943826620f, + 0.471396736825997810f, -0.881921264348354940f, 0.471227621876586400f, + -0.882011637327159590f, + 0.471058489601482610f, -0.882101977876917580f, 0.470889340006904520f, + -0.882192285994307430f, + 0.470720173099071710f, -0.882282561676008600f, 0.470550988884203490f, + -0.882372804918702290f, + 0.470381787368520710f, -0.882463015719070040f, 0.470212568558244280f, + -0.882553194073795400f, + 0.470043332459595620f, -0.882643339979562790f, 0.469874079078797470f, + -0.882733453433057540f, + 0.469704808422072460f, -0.882823534430966730f, 0.469535520495644510f, + -0.882913582969978020f, + 0.469366215305737630f, -0.883003599046780720f, 0.469196892858576630f, + -0.883093582658065370f, + 0.469027553160387240f, -0.883183533800523280f, 0.468858196217395330f, + -0.883273452470847430f, + 0.468688822035827960f, -0.883363338665731580f, 0.468519430621912420f, + -0.883453192381870920f, + 0.468350021981876530f, -0.883543013615961880f, 0.468180596121949400f, + -0.883632802364701760f, + 0.468011153048359830f, -0.883722558624789660f, 0.467841692767338220f, + -0.883812282392925090f, + 0.467672215285114710f, -0.883901973665809470f, 0.467502720607920920f, + -0.883991632440144890f, + 0.467333208741988530f, -0.884081258712634990f, 0.467163679693549770f, + -0.884170852479984500f, + 0.466994133468838110f, -0.884260413738899080f, 0.466824570074086950f, + -0.884349942486086120f, + 0.466654989515530970f, -0.884439438718253700f, 0.466485391799405010f, + -0.884528902432111350f, + 0.466315776931944480f, -0.884618333624369920f, 0.466146144919386000f, + -0.884707732291740930f, + 0.465976495767966130f, -0.884797098430937790f, 0.465806829483922770f, + -0.884886432038674560f, + 0.465637146073493770f, -0.884975733111666660f, 0.465467445542917800f, + -0.885065001646630930f, + 0.465297727898434650f, -0.885154237640285110f, 0.465127993146283950f, + -0.885243441089348270f, + 0.464958241292706740f, -0.885332611990540590f, 0.464788472343944160f, + -0.885421750340583570f, + 0.464618686306237820f, -0.885510856136199950f, 0.464448883185830770f, + -0.885599929374113360f, + 0.464279062988965760f, -0.885688970051048960f, 0.464109225721887010f, + -0.885777978163732940f, + 0.463939371390838460f, -0.885866953708892790f, 0.463769500002065680f, + -0.885955896683257030f, + 0.463599611561814120f, -0.886044807083555490f, 0.463429706076329880f, + -0.886133684906519340f, + 0.463259783551860260f, -0.886222530148880640f, 0.463089843994652470f, + -0.886311342807372890f, + 0.462919887410955130f, -0.886400122878730490f, 0.462749913807016850f, + -0.886488870359689600f, + 0.462579923189086810f, -0.886577585246987040f, 0.462409915563415540f, + -0.886666267537360890f, + 0.462239890936253280f, -0.886754917227550950f, 0.462069849313851810f, + -0.886843534314297300f, + 0.461899790702462840f, -0.886932118794342080f, 0.461729715108338770f, + -0.887020670664428360f, + 0.461559622537733190f, -0.887109189921300060f, 0.461389512996899450f, + -0.887197676561702900f, + 0.461219386492092430f, -0.887286130582383150f, 0.461049243029567010f, + -0.887374551980088740f, + 0.460879082615578690f, -0.887462940751568840f, 0.460708905256384190f, + -0.887551296893573370f, + 0.460538710958240010f, -0.887639620402853930f, 0.460368499727404070f, + -0.887727911276163020f, + 0.460198271570134270f, -0.887816169510254550f, 0.460028026492689700f, + -0.887904395101883240f, + 0.459857764501329650f, -0.887992588047805560f, 0.459687485602313870f, + -0.888080748344778900f, + 0.459517189801903590f, -0.888168875989561620f, 0.459346877106359570f, + -0.888256970978913870f, + 0.459176547521944150f, -0.888345033309596240f, 0.459006201054919680f, + -0.888433062978371320f, + 0.458835837711549120f, -0.888521059982002260f, 0.458665457498096670f, + -0.888609024317253750f, + 0.458495060420826220f, -0.888696955980891710f, 0.458324646486003300f, + -0.888784854969682850f, + 0.458154215699893230f, -0.888872721280395520f, 0.457983768068762180f, + -0.888960554909799310f, + 0.457813303598877290f, -0.889048355854664570f, 0.457642822296505770f, + -0.889136124111763240f, + 0.457472324167916110f, -0.889223859677868210f, 0.457301809219376800f, + -0.889311562549753850f, + 0.457131277457156980f, -0.889399232724195520f, 0.456960728887527030f, + -0.889486870197969790f, + 0.456790163516757220f, -0.889574474967854580f, 0.456619581351118960f, + -0.889662047030628790f, + 0.456448982396883860f, -0.889749586383072890f, 0.456278366660324670f, + -0.889837093021967900f, + 0.456107734147714220f, -0.889924566944096720f, 0.455937084865326030f, + -0.890012008146243260f, + 0.455766418819434750f, -0.890099416625192210f, 0.455595736016314920f, + -0.890186792377730240f, + 0.455425036462242420f, -0.890274135400644480f, 0.455254320163493210f, + -0.890361445690723730f, + 0.455083587126343840f, -0.890448723244757880f, 0.454912837357072050f, + -0.890535968059537830f, + 0.454742070861955450f, -0.890623180131855930f, 0.454571287647273000f, + -0.890710359458505520f, + 0.454400487719303750f, -0.890797506036281490f, 0.454229671084327320f, + -0.890884619861979530f, + 0.454058837748624540f, -0.890971700932396750f, 0.453887987718476050f, + -0.891058749244331590f, + 0.453717121000163930f, -0.891145764794583180f, 0.453546237599970260f, + -0.891232747579952520f, + 0.453375337524177750f, -0.891319697597241390f, 0.453204420779070300f, + -0.891406614843252900f, + 0.453033487370931580f, -0.891493499314791380f, 0.452862537306046810f, + -0.891580351008662290f, + 0.452691570590700860f, -0.891667169921672390f, 0.452520587231180100f, + -0.891753956050629460f, + 0.452349587233771000f, -0.891840709392342720f, 0.452178570604760410f, + -0.891927429943622510f, + 0.452007537350436530f, -0.892014117701280360f, 0.451836487477087430f, + -0.892100772662129170f, + 0.451665420991002540f, -0.892187394822982480f, 0.451494337898471210f, + -0.892273984180655730f, + 0.451323238205783520f, -0.892360540731965360f, 0.451152121919230710f, + -0.892447064473728680f, + 0.450980989045103810f, -0.892533555402764690f, 0.450809839589695340f, + -0.892620013515893040f, + 0.450638673559297760f, -0.892706438809935280f, 0.450467490960204110f, + -0.892792831281713610f, + 0.450296291798708730f, -0.892879190928051680f, 0.450125076081105750f, + -0.892965517745774260f, + 0.449953843813690580f, -0.893051811731707450f, 0.449782595002758860f, + -0.893138072882678210f, + 0.449611329654606600f, -0.893224301195515320f, 0.449440047775531260f, + -0.893310496667048090f, + 0.449268749371829920f, -0.893396659294107610f, 0.449097434449801100f, + -0.893482789073525850f, + 0.448926103015743260f, -0.893568886002136020f, 0.448754755075956020f, + -0.893654950076772430f, + 0.448583390636739300f, -0.893740981294271040f, 0.448412009704393430f, + -0.893826979651468620f, + 0.448240612285220000f, -0.893912945145203250f, 0.448069198385520340f, + -0.893998877772314240f, + 0.447897768011597310f, -0.894084777529641990f, 0.447726321169753750f, + -0.894170644414028270f, + 0.447554857866293010f, -0.894256478422316040f, 0.447383378107519710f, + -0.894342279551349480f, + 0.447211881899738260f, -0.894428047797973800f, 0.447040369249254500f, + -0.894513783159035620f, + 0.446868840162374330f, -0.894599485631382580f, 0.446697294645404090f, + -0.894685155211863980f, + 0.446525732704651400f, -0.894770791897329550f, 0.446354154346423840f, + -0.894856395684630930f, + 0.446182559577030120f, -0.894941966570620750f, 0.446010948402779110f, + -0.895027504552152630f, + 0.445839320829980350f, -0.895113009626081760f, 0.445667676864944350f, + -0.895198481789264200f, + 0.445496016513981740f, -0.895283921038557580f, 0.445324339783404240f, + -0.895369327370820310f, + 0.445152646679523590f, -0.895454700782912450f, 0.444980937208652780f, + -0.895540041271694840f, + 0.444809211377105000f, -0.895625348834030000f, 0.444637469191193790f, + -0.895710623466781320f, + 0.444465710657234110f, -0.895795865166813420f, 0.444293935781540580f, + -0.895881073930992370f, + 0.444122144570429260f, -0.895966249756185110f, 0.443950337030216250f, + -0.896051392639260040f, + 0.443778513167218220f, -0.896136502577086770f, 0.443606672987753080f, + -0.896221579566535920f, + 0.443434816498138430f, -0.896306623604479660f, 0.443262943704693380f, + -0.896391634687790820f, + 0.443091054613736990f, -0.896476612813344010f, 0.442919149231588980f, + -0.896561557978014960f, + 0.442747227564570130f, -0.896646470178680150f, 0.442575289619001170f, + -0.896731349412217880f, + 0.442403335401204130f, -0.896816195675507190f, 0.442231364917501090f, + -0.896901008965428680f, + 0.442059378174214760f, -0.896985789278863970f, 0.441887375177668960f, + -0.897070536612695870f, + 0.441715355934187310f, -0.897155250963808550f, 0.441543320450094920f, + -0.897239932329087050f, + 0.441371268731716620f, -0.897324580705418320f, 0.441199200785378660f, + -0.897409196089689720f, + 0.441027116617407340f, -0.897493778478790190f, 0.440855016234129430f, + -0.897578327869610230f, + 0.440682899641873020f, -0.897662844259040750f, 0.440510766846965880f, + -0.897747327643974690f, + 0.440338617855737300f, -0.897831778021305650f, 0.440166452674516480f, + -0.897916195387928550f, + 0.439994271309633260f, -0.898000579740739880f, 0.439822073767418610f, + -0.898084931076636780f, + 0.439649860054203420f, -0.898169249392518080f, 0.439477630176319860f, + -0.898253534685283570f, + 0.439305384140100060f, -0.898337786951834190f, 0.439133121951876930f, + -0.898422006189072530f, + 0.438960843617984430f, -0.898506192393901840f, 0.438788549144756290f, + -0.898590345563227030f, + 0.438616238538527710f, -0.898674465693953820f, 0.438443911805633860f, + -0.898758552782989440f, + 0.438271568952410480f, -0.898842606827242260f, 0.438099209985194580f, + -0.898926627823621870f, + 0.437926834910322860f, -0.899010615769039070f, 0.437754443734133470f, + -0.899094570660405770f, + 0.437582036462964340f, -0.899178492494635330f, 0.437409613103154850f, + -0.899262381268642000f, + 0.437237173661044200f, -0.899346236979341460f, 0.437064718142972370f, + -0.899430059623650860f, + 0.436892246555280470f, -0.899513849198487870f, 0.436719758904309310f, + -0.899597605700772180f, + 0.436547255196401250f, -0.899681329127423930f, 0.436374735437898510f, + -0.899765019475365020f, + 0.436202199635143950f, -0.899848676741518580f, 0.436029647794481670f, + -0.899932300922808400f, + 0.435857079922255470f, -0.900015892016160280f, 0.435684496024810520f, + -0.900099450018500340f, + 0.435511896108492170f, -0.900182974926756700f, 0.435339280179646070f, + -0.900266466737858480f, + 0.435166648244619370f, -0.900349925448735600f, 0.434994000309758710f, + -0.900433351056319830f, + 0.434821336381412350f, -0.900516743557543520f, 0.434648656465928430f, + -0.900600102949340790f, + 0.434475960569655710f, -0.900683429228646860f, 0.434303248698944100f, + -0.900766722392397860f, + 0.434130520860143310f, -0.900849982437531450f, 0.433957777059604480f, + -0.900933209360986200f, + 0.433785017303678520f, -0.901016403159702330f, 0.433612241598717640f, + -0.901099563830620950f, + 0.433439449951074200f, -0.901182691370684410f, 0.433266642367100940f, + -0.901265785776836580f, + 0.433093818853152010f, -0.901348847046022030f, 0.432920979415581220f, + -0.901431875175186970f, + 0.432748124060743760f, -0.901514870161278630f, 0.432575252794994810f, + -0.901597832001245660f, + 0.432402365624690140f, -0.901680760692037730f, 0.432229462556186770f, + -0.901763656230605610f, + 0.432056543595841450f, -0.901846518613901860f, 0.431883608750012300f, + -0.901929347838879350f, + 0.431710658025057370f, -0.902012143902493070f, 0.431537691427335500f, + -0.902094906801698900f, + 0.431364708963206440f, -0.902177636533453510f, 0.431191710639030000f, + -0.902260333094715540f, + 0.431018696461167080f, -0.902342996482444200f, 0.430845666435978820f, + -0.902425626693600270f, + 0.430672620569826860f, -0.902508223725145830f, 0.430499558869073930f, + -0.902590787574043870f, + 0.430326481340082610f, -0.902673318237258830f, 0.430153387989216930f, + -0.902755815711756120f, + 0.429980278822840570f, -0.902838279994502830f, 0.429807153847318770f, + -0.902920711082466630f, + 0.429634013069016500f, -0.903003108972617040f, 0.429460856494299490f, + -0.903085473661924600f, + 0.429287684129534720f, -0.903167805147360610f, 0.429114495981088690f, + -0.903250103425898400f, + 0.428941292055329550f, -0.903332368494511820f, 0.428768072358625240f, + -0.903414600350176290f, + 0.428594836897344400f, -0.903496798989868450f, 0.428421585677856760f, + -0.903578964410565950f, + 0.428248318706531910f, -0.903661096609247980f, 0.428075035989740780f, + -0.903743195582894620f, + 0.427901737533854240f, -0.903825261328487390f, 0.427728423345243860f, + -0.903907293843009050f, + 0.427555093430282200f, -0.903989293123443340f, 0.427381747795341770f, + -0.904071259166775440f, + 0.427208386446796370f, -0.904153191969991670f, 0.427035009391019790f, + -0.904235091530079750f, + 0.426861616634386490f, -0.904316957844028320f, 0.426688208183271970f, + -0.904398790908827350f, + 0.426514784044051520f, -0.904480590721468250f, 0.426341344223101880f, + -0.904562357278943190f, + 0.426167888726799620f, -0.904644090578246240f, 0.425994417561522450f, + -0.904725790616371930f, + 0.425820930733648300f, -0.904807457390316540f, 0.425647428249555590f, + -0.904889090897077470f, + 0.425473910115623910f, -0.904970691133653250f, 0.425300376338232590f, + -0.905052258097043590f, + 0.425126826923762410f, -0.905133791784249580f, 0.424953261878594060f, + -0.905215292192273480f, + 0.424779681209108810f, -0.905296759318118820f, 0.424606084921689220f, + -0.905378193158789980f, + 0.424432473022717420f, -0.905459593711293250f, 0.424258845518577010f, + -0.905540960972635480f, + 0.424085202415651670f, -0.905622294939825160f, 0.423911543720325580f, + -0.905703595609872010f, + 0.423737869438983950f, -0.905784862979786440f, 0.423564179578011960f, + -0.905866097046580940f, + 0.423390474143796100f, -0.905947297807268460f, 0.423216753142722780f, + -0.906028465258863490f, + 0.423043016581179100f, -0.906109599398381980f, 0.422869264465553170f, + -0.906190700222840540f, + 0.422695496802232950f, -0.906271767729257660f, 0.422521713597607870f, + -0.906352801914652280f, + 0.422347914858067000f, -0.906433802776045460f, 0.422174100590000820f, + -0.906514770310458800f, + 0.422000270799799790f, -0.906595704514915330f, 0.421826425493854910f, + -0.906676605386439460f, + 0.421652564678558380f, -0.906757472922056550f, 0.421478688360302220f, + -0.906838307118793540f, + 0.421304796545479700f, -0.906919107973678030f, 0.421130889240484140f, + -0.906999875483739610f, + 0.420956966451709440f, -0.907080609646008450f, 0.420783028185550630f, + -0.907161310457516250f, + 0.420609074448402510f, -0.907241977915295930f, 0.420435105246661220f, + -0.907322612016381310f, + 0.420261120586723050f, -0.907403212757808000f, 0.420087120474984590f, + -0.907483780136612570f, + 0.419913104917843730f, -0.907564314149832520f, 0.419739073921698180f, + -0.907644814794507090f, + 0.419565027492946940f, -0.907725282067676330f, 0.419390965637989050f, + -0.907805715966381820f, + 0.419216888363223960f, -0.907886116487666150f, 0.419042795675052480f, + -0.907966483628573240f, + 0.418868687579875110f, -0.908046817386148340f, 0.418694564084093610f, + -0.908127117757437600f, + 0.418520425194109700f, -0.908207384739488700f, 0.418346270916326310f, + -0.908287618329350450f, + 0.418172101257146430f, -0.908367818524072780f, 0.417997916222973550f, + -0.908447985320707250f, + 0.417823715820212380f, -0.908528118716306120f, 0.417649500055267410f, + -0.908608218707923190f, + 0.417475268934544340f, -0.908688285292613360f, 0.417301022464449060f, + -0.908768318467432780f, + 0.417126760651387870f, -0.908848318229439120f, 0.416952483501768280f, + -0.908928284575690640f, + 0.416778191021997590f, -0.909008217503247450f, 0.416603883218484410f, + -0.909088117009170580f, + 0.416429560097637320f, -0.909167983090522270f, 0.416255221665865480f, + -0.909247815744366310f, + 0.416080867929579320f, -0.909327614967767260f, 0.415906498895188770f, + -0.909407380757791260f, + 0.415732114569105420f, -0.909487113111505430f, 0.415557714957740580f, + -0.909566812025978220f, + 0.415383300067506290f, -0.909646477498279540f, 0.415208869904815650f, + -0.909726109525480160f, + 0.415034424476081630f, -0.909805708104652220f, 0.414859963787718390f, + -0.909885273232869160f, + 0.414685487846140010f, -0.909964804907205660f, 0.414510996657761810f, + -0.910044303124737390f, + 0.414336490228999210f, -0.910123767882541570f, 0.414161968566268080f, + -0.910203199177696540f, + 0.413987431675985510f, -0.910282597007281760f, 0.413812879564568300f, + -0.910361961368377990f, + 0.413638312238434560f, -0.910441292258067140f, 0.413463729704002580f, + -0.910520589673432630f, + 0.413289131967690960f, -0.910599853611558930f, 0.413114519035919560f, + -0.910679084069531570f, + 0.412939890915108020f, -0.910758281044437570f, 0.412765247611677320f, + -0.910837444533365010f, + 0.412590589132048380f, -0.910916574533403240f, 0.412415915482642730f, + -0.910995671041643140f, + 0.412241226669883000f, -0.911074734055176250f, 0.412066522700191560f, + -0.911153763571095900f, + 0.411891803579992220f, -0.911232759586496190f, 0.411717069315708670f, + -0.911311722098472670f, + 0.411542319913765280f, -0.911390651104122320f, 0.411367555380587340f, + -0.911469546600543020f, + 0.411192775722600160f, -0.911548408584833990f, 0.411017980946230270f, + -0.911627237054095650f, + 0.410843171057903910f, -0.911706032005429880f, 0.410668346064048780f, + -0.911784793435939430f, + 0.410493505971092520f, -0.911863521342728520f, 0.410318650785463260f, + -0.911942215722902570f, + 0.410143780513590350f, -0.912020876573568230f, 0.409968895161902820f, + -0.912099503891833470f, + 0.409793994736831200f, -0.912178097674807060f, 0.409619079244805840f, + -0.912256657919599650f, + 0.409444148692257590f, -0.912335184623322750f, 0.409269203085618700f, + -0.912413677783089020f, + 0.409094242431320920f, -0.912492137396012650f, 0.408919266735797480f, + -0.912570563459208730f, + 0.408744276005481520f, -0.912648955969793900f, 0.408569270246806780f, + -0.912727314924885900f, + 0.408394249466208110f, -0.912805640321603500f, 0.408219213670120100f, + -0.912883932157067200f, + 0.408044162864978740f, -0.912962190428398100f, 0.407869097057219960f, + -0.913040415132719160f, + 0.407694016253280170f, -0.913118606267154130f, 0.407518920459597030f, + -0.913196763828828200f, + 0.407343809682607970f, -0.913274887814867760f, 0.407168683928751610f, + -0.913352978222400250f, + 0.406993543204466460f, -0.913431035048554720f, 0.406818387516192370f, + -0.913509058290461140f, + 0.406643216870369140f, -0.913587047945250810f, 0.406468031273437000f, + -0.913665004010056350f, + 0.406292830731837470f, -0.913742926482011390f, 0.406117615252011790f, + -0.913820815358251100f, + 0.405942384840402570f, -0.913898670635911680f, 0.405767139503452220f, + -0.913976492312130520f, + 0.405591879247603870f, -0.914054280384046460f, 0.405416604079301750f, + -0.914132034848799460f, + 0.405241314004989860f, -0.914209755703530690f, 0.405066009031113390f, + -0.914287442945382440f, + 0.404890689164117750f, -0.914365096571498450f, 0.404715354410448650f, + -0.914442716579023870f, + 0.404540004776553110f, -0.914520302965104450f, 0.404364640268877810f, + -0.914597855726887790f, + 0.404189260893870750f, -0.914675374861522390f, 0.404013866657980060f, + -0.914752860366158100f, + 0.403838457567654130f, -0.914830312237946090f, 0.403663033629342750f, + -0.914907730474038620f, + 0.403487594849495310f, -0.914985115071589310f, 0.403312141234562660f, + -0.915062466027752760f, + 0.403136672790995240f, -0.915139783339685260f, 0.402961189525244960f, + -0.915217067004543750f, + 0.402785691443763640f, -0.915294317019487050f, 0.402610178553003680f, + -0.915371533381674760f, + 0.402434650859418540f, -0.915448716088267830f, 0.402259108369461440f, + -0.915525865136428530f, + 0.402083551089587040f, -0.915602980523320230f, 0.401907979026249860f, + -0.915680062246107650f, + 0.401732392185905010f, -0.915757110301956720f, 0.401556790575008650f, + -0.915834124688034710f, + 0.401381174200016790f, -0.915911105401509880f, 0.401205543067386760f, + -0.915988052439551840f, + 0.401029897183575790f, -0.916064965799331610f, 0.400854236555041650f, + -0.916141845478021350f, + 0.400678561188243350f, -0.916218691472794110f, 0.400502871089639500f, + -0.916295503780824800f, + 0.400327166265690150f, -0.916372282399289140f, 0.400151446722855300f, + -0.916449027325364040f, + 0.399975712467595390f, -0.916525738556228100f, 0.399799963506372090f, + -0.916602416089060680f, + 0.399624199845646790f, -0.916679059921042700f, 0.399448421491882260f, + -0.916755670049355990f, + 0.399272628451540930f, -0.916832246471183890f, 0.399096820731086600f, + -0.916908789183710990f, + 0.398920998336983020f, -0.916985298184122890f, 0.398745161275694480f, + -0.917061773469606820f, + 0.398569309553686360f, -0.917138215037350710f, 0.398393443177423920f, + -0.917214622884544250f, + 0.398217562153373620f, -0.917290997008377910f, 0.398041666488001930f, + -0.917367337406043810f, + 0.397865756187775750f, -0.917443644074735220f, 0.397689831259163240f, + -0.917519917011646260f, + 0.397513891708632330f, -0.917596156213972950f, 0.397337937542652120f, + -0.917672361678911750f, + 0.397161968767691720f, -0.917748533403661250f, 0.396985985390220900f, + -0.917824671385420570f, + 0.396809987416710420f, -0.917900775621390390f, 0.396633974853630830f, + -0.917976846108772730f, + 0.396457947707453960f, -0.918052882844770380f, 0.396281905984651680f, + -0.918128885826587910f, + 0.396105849691696320f, -0.918204855051430900f, 0.395929778835061360f, + -0.918280790516506130f, + 0.395753693421220080f, -0.918356692219021720f, 0.395577593456646950f, + -0.918432560156186790f, + 0.395401478947816300f, -0.918508394325212250f, 0.395225349901203730f, + -0.918584194723309540f, + 0.395049206323284880f, -0.918659961347691900f, 0.394873048220535760f, + -0.918735694195573550f, + 0.394696875599433670f, -0.918811393264169940f, 0.394520688466455550f, + -0.918887058550697970f, + 0.394344486828079650f, -0.918962690052375630f, 0.394168270690784250f, + -0.919038287766421940f, + 0.393992040061048100f, -0.919113851690057770f, 0.393815794945351130f, + -0.919189381820504470f, + 0.393639535350172880f, -0.919264878154985250f, 0.393463261281994380f, + -0.919340340690724230f, + 0.393286972747296570f, -0.919415769424946960f, 0.393110669752560760f, + -0.919491164354880100f, + 0.392934352304269600f, -0.919566525477751530f, 0.392758020408905280f, + -0.919641852790790470f, + 0.392581674072951530f, -0.919717146291227360f, 0.392405313302891860f, + -0.919792405976293750f, + 0.392228938105210370f, -0.919867631843222950f, 0.392052548486392200f, + -0.919942823889248640f, + 0.391876144452922350f, -0.920017982111606570f, 0.391699726011287050f, + -0.920093106507533070f, + 0.391523293167972350f, -0.920168197074266450f, 0.391346845929465610f, + -0.920243253809045370f, + 0.391170384302253980f, -0.920318276709110480f, 0.390993908292825380f, + -0.920393265771703550f, + 0.390817417907668610f, -0.920468220994067110f, 0.390640913153272370f, + -0.920543142373445480f, + 0.390464394036126650f, -0.920618029907083860f, 0.390287860562721360f, + -0.920692883592229010f, + 0.390111312739546910f, -0.920767703426128790f, 0.389934750573094790f, + -0.920842489406032080f, + 0.389758174069856410f, -0.920917241529189520f, 0.389581583236324360f, + -0.920991959792852310f, + 0.389404978078991100f, -0.921066644194273530f, 0.389228358604349730f, + -0.921141294730707270f, + 0.389051724818894500f, -0.921215911399408730f, 0.388875076729119250f, + -0.921290494197634540f, + 0.388698414341519250f, -0.921365043122642340f, 0.388521737662589740f, + -0.921439558171691320f, + 0.388345046698826300f, -0.921514039342041900f, 0.388168341456725850f, + -0.921588486630955380f, + 0.387991621942784910f, -0.921662900035694730f, 0.387814888163501290f, + -0.921737279553523800f, + 0.387638140125372680f, -0.921811625181708120f, 0.387461377834897920f, + -0.921885936917513970f, + 0.387284601298575890f, -0.921960214758209110f, 0.387107810522905990f, + -0.922034458701062820f, + 0.386931005514388690f, -0.922108668743345070f, 0.386754186279524130f, + -0.922182844882327600f, + 0.386577352824813980f, -0.922256987115283030f, 0.386400505156759610f, + -0.922331095439485330f, + 0.386223643281862980f, -0.922405169852209880f, 0.386046767206627280f, + -0.922479210350733100f, + 0.385869876937555310f, -0.922553216932332830f, 0.385692972481151200f, + -0.922627189594287800f, + 0.385516053843919020f, -0.922701128333878520f, 0.385339121032363340f, + -0.922775033148386380f, + 0.385162174052989970f, -0.922848904035094120f, 0.384985212912304200f, + -0.922922740991285680f, + 0.384808237616812930f, -0.922996544014246250f, 0.384631248173022740f, + -0.923070313101262420f, + 0.384454244587440870f, -0.923144048249621820f, 0.384277226866575620f, + -0.923217749456613500f, + 0.384100195016935040f, -0.923291416719527640f, 0.383923149045028500f, + -0.923365050035655610f, + 0.383746088957365010f, -0.923438649402290370f, 0.383569014760454960f, + -0.923512214816725520f, + 0.383391926460808770f, -0.923585746276256560f, 0.383214824064937180f, + -0.923659243778179980f, + 0.383037707579352130f, -0.923732707319793180f, 0.382860577010565360f, + -0.923806136898395410f, + 0.382683432365089840f, -0.923879532511286740f, 0.382506273649438400f, + -0.923952894155768640f, + 0.382329100870124510f, -0.924026221829143850f, 0.382151914033662720f, + -0.924099515528716280f, + 0.381974713146567220f, -0.924172775251791200f, 0.381797498215353690f, + -0.924246000995674890f, + 0.381620269246537520f, -0.924319192757675160f, 0.381443026246634730f, + -0.924392350535101050f, + 0.381265769222162490f, -0.924465474325262600f, 0.381088498179637520f, + -0.924538564125471420f, + 0.380911213125578130f, -0.924611619933039970f, 0.380733914066502090f, + -0.924684641745282530f, + 0.380556601008928570f, -0.924757629559513910f, 0.380379273959376710f, + -0.924830583373050800f, + 0.380201932924366050f, -0.924903503183210910f, 0.380024577910417380f, + -0.924976388987313050f, + 0.379847208924051110f, -0.925049240782677580f, 0.379669825971789000f, + -0.925122058566625770f, + 0.379492429060152740f, -0.925194842336480420f, 0.379315018195664430f, + -0.925267592089565550f, + 0.379137593384847430f, -0.925340307823206200f, 0.378960154634224720f, + -0.925412989534729060f, + 0.378782701950320600f, -0.925485637221461490f, 0.378605235339659290f, + -0.925558250880732620f, + 0.378427754808765620f, -0.925630830509872720f, 0.378250260364165310f, + -0.925703376106213120f, + 0.378072752012383990f, -0.925775887667086740f, 0.377895229759948550f, + -0.925848365189827270f, + 0.377717693613385810f, -0.925920808671769960f, 0.377540143579222940f, + -0.925993218110251480f, + 0.377362579663988450f, -0.926065593502609310f, 0.377185001874210450f, + -0.926137934846182560f, + 0.377007410216418310f, -0.926210242138311270f, 0.376829804697141220f, + -0.926282515376337210f, + 0.376652185322909620f, -0.926354754557602860f, 0.376474552100253880f, + -0.926426959679452100f, + 0.376296905035704790f, -0.926499130739230510f, 0.376119244135794390f, + -0.926571267734284220f, + 0.375941569407054420f, -0.926643370661961230f, 0.375763880856017750f, + -0.926715439519610330f, + 0.375586178489217330f, -0.926787474304581750f, 0.375408462313186590f, + -0.926859475014227160f, + 0.375230732334460030f, -0.926931441645899130f, 0.375052988559571860f, + -0.927003374196951670f, + 0.374875230995057600f, -0.927075272664740100f, 0.374697459647452770f, + -0.927147137046620880f, + 0.374519674523293210f, -0.927218967339951790f, 0.374341875629116030f, + -0.927290763542091720f, + 0.374164062971457990f, -0.927362525650401110f, 0.373986236556857090f, + -0.927434253662241300f, + 0.373808396391851370f, -0.927505947574975180f, 0.373630542482979280f, + -0.927577607385966730f, + 0.373452674836780410f, -0.927649233092581180f, 0.373274793459794030f, + -0.927720824692185200f, + 0.373096898358560690f, -0.927792382182146320f, 0.372918989539620770f, + -0.927863905559833780f, + 0.372741067009515810f, -0.927935394822617890f, 0.372563130774787370f, + -0.928006849967869970f, + 0.372385180841977360f, -0.928078270992963140f, 0.372207217217628950f, + -0.928149657895271150f, + 0.372029239908284960f, -0.928221010672169440f, 0.371851248920489540f, + -0.928292329321034560f, + 0.371673244260786630f, -0.928363613839244370f, 0.371495225935720760f, + -0.928434864224177980f, + 0.371317193951837600f, -0.928506080473215480f, 0.371139148315682510f, + -0.928577262583738850f, + 0.370961089033802040f, -0.928648410553130520f, 0.370783016112742720f, + -0.928719524378774700f, + 0.370604929559051670f, -0.928790604058057020f, 0.370426829379276900f, + -0.928861649588363700f, + 0.370248715579966360f, -0.928932660967082820f, 0.370070588167669130f, + -0.929003638191603360f, + 0.369892447148934270f, -0.929074581259315750f, 0.369714292530311240f, + -0.929145490167611720f, + 0.369536124318350760f, -0.929216364913883930f, 0.369357942519603190f, + -0.929287205495526790f, + 0.369179747140620070f, -0.929358011909935500f, 0.369001538187952780f, + -0.929428784154506800f, + 0.368823315668153960f, -0.929499522226638560f, 0.368645079587776150f, + -0.929570226123729860f, + 0.368466829953372320f, -0.929640895843181330f, 0.368288566771496680f, + -0.929711531382394370f, + 0.368110290048703050f, -0.929782132738772190f, 0.367931999791546500f, + -0.929852699909718750f, + 0.367753696006582090f, -0.929923232892639560f, 0.367575378700365330f, + -0.929993731684941480f, + 0.367397047879452820f, -0.930064196284032360f, 0.367218703550400930f, + -0.930134626687321390f, + 0.367040345719767240f, -0.930205022892219070f, 0.366861974394109220f, + -0.930275384896137040f, + 0.366683589579984930f, -0.930345712696488470f, 0.366505191283953480f, + -0.930416006290687550f, + 0.366326779512573590f, -0.930486265676149780f, 0.366148354272405390f, + -0.930556490850291800f, + 0.365969915570008910f, -0.930626681810531650f, 0.365791463411944570f, + -0.930696838554288860f, + 0.365612997804773960f, -0.930766961078983710f, 0.365434518755058390f, + -0.930837049382038150f, + 0.365256026269360380f, -0.930907103460875020f, 0.365077520354242180f, + -0.930977123312918930f, + 0.364899001016267380f, -0.931047108935595170f, 0.364720468261999390f, + -0.931117060326330790f, + 0.364541922098002180f, -0.931186977482553750f, 0.364363362530840730f, + -0.931256860401693420f, + 0.364184789567079840f, -0.931326709081180430f, 0.364006203213285530f, + -0.931396523518446600f, + 0.363827603476023610f, -0.931466303710925090f, 0.363648990361860550f, + -0.931536049656050300f, + 0.363470363877363870f, -0.931605761351257830f, 0.363291724029100700f, + -0.931675438793984620f, + 0.363113070823639530f, -0.931745081981668720f, 0.362934404267548750f, + -0.931814690911749620f, + 0.362755724367397230f, -0.931884265581668150f, 0.362577031129754870f, + -0.931953805988865900f, + 0.362398324561191310f, -0.932023312130786490f, 0.362219604668277570f, + -0.932092784004874050f, + 0.362040871457584350f, -0.932162221608574320f, 0.361862124935682980f, + -0.932231624939334540f, + 0.361683365109145950f, -0.932300993994602640f, 0.361504591984545260f, + -0.932370328771828460f, + 0.361325805568454340f, -0.932439629268462360f, 0.361147005867446190f, + -0.932508895481956700f, + 0.360968192888095290f, -0.932578127409764420f, 0.360789366636975690f, + -0.932647325049340340f, + 0.360610527120662270f, -0.932716488398140250f, 0.360431674345730810f, + -0.932785617453620990f, + 0.360252808318756830f, -0.932854712213241230f, 0.360073929046317080f, + -0.932923772674460140f, + 0.359895036534988280f, -0.932992798834738850f, 0.359716130791347570f, + -0.933061790691539380f, + 0.359537211821973180f, -0.933130748242325110f, 0.359358279633443080f, + -0.933199671484560730f, + 0.359179334232336560f, -0.933268560415712050f, 0.359000375625232630f, + -0.933337415033246080f, + 0.358821403818710920f, -0.933406235334631520f, 0.358642418819352100f, + -0.933475021317337950f, + 0.358463420633736540f, -0.933543772978836170f, 0.358284409268445900f, + -0.933612490316598540f, + 0.358105384730061760f, -0.933681173328098300f, 0.357926347025166070f, + -0.933749822010810580f, + 0.357747296160342010f, -0.933818436362210960f, 0.357568232142172260f, + -0.933887016379776890f, + 0.357389154977241000f, -0.933955562060986730f, 0.357210064672131900f, + -0.934024073403320500f, + 0.357030961233430030f, -0.934092550404258870f, 0.356851844667720410f, + -0.934160993061284420f, + 0.356672714981588260f, -0.934229401371880820f, 0.356493572181620200f, + -0.934297775333532530f, + 0.356314416274402360f, -0.934366114943725900f, 0.356135247266522180f, + -0.934434420199948050f, + 0.355956065164567010f, -0.934502691099687870f, 0.355776869975124640f, + -0.934570927640435030f, + 0.355597661704783960f, -0.934639129819680780f, 0.355418440360133590f, + -0.934707297634917440f, + 0.355239205947763370f, -0.934775431083638700f, 0.355059958474263030f, + -0.934843530163339430f, + 0.354880697946222790f, -0.934911594871516090f, 0.354701424370233940f, + -0.934979625205665800f, + 0.354522137752887430f, -0.935047621163287430f, 0.354342838100775600f, + -0.935115582741880890f, + 0.354163525420490510f, -0.935183509938947500f, 0.353984199718624830f, + -0.935251402751989810f, + 0.353804861001772160f, -0.935319261178511500f, 0.353625509276525970f, + -0.935387085216017770f, + 0.353446144549480870f, -0.935454874862014620f, 0.353266766827231180f, + -0.935522630114009930f, + 0.353087376116372530f, -0.935590350969512370f, 0.352907972423500360f, + -0.935658037426032040f, + 0.352728555755210730f, -0.935725689481080370f, 0.352549126118100580f, + -0.935793307132169900f, + 0.352369683518766630f, -0.935860890376814640f, 0.352190227963806890f, + -0.935928439212529660f, + 0.352010759459819240f, -0.935995953636831300f, 0.351831278013402030f, + -0.936063433647237540f, + 0.351651783631154680f, -0.936130879241266920f, 0.351472276319676260f, + -0.936198290416440090f, + 0.351292756085567150f, -0.936265667170278260f, 0.351113222935427630f, + -0.936333009500304180f, + 0.350933676875858360f, -0.936400317404042060f, 0.350754117913461170f, + -0.936467590879016880f, + 0.350574546054837570f, -0.936534829922755500f, 0.350394961306590200f, + -0.936602034532785570f, + 0.350215363675321740f, -0.936669204706636060f, 0.350035753167635300f, + -0.936736340441837620f, + 0.349856129790135030f, -0.936803441735921560f, 0.349676493549424760f, + -0.936870508586420960f, + 0.349496844452109600f, -0.936937540990869900f, 0.349317182504794320f, + -0.937004538946803690f, + 0.349137507714085030f, -0.937071502451759190f, 0.348957820086587600f, + -0.937138431503274140f, + 0.348778119628908420f, -0.937205326098887960f, 0.348598406347655040f, + -0.937272186236140950f, + 0.348418680249434510f, -0.937339011912574960f, 0.348238941340855310f, + -0.937405803125732850f, + 0.348059189628525780f, -0.937472559873159140f, 0.347879425119054510f, + -0.937539282152399230f, + 0.347699647819051490f, -0.937605969960999990f, 0.347519857735126110f, + -0.937672623296509470f, + 0.347340054873889190f, -0.937739242156476970f, 0.347160239241951330f, + -0.937805826538453010f, + 0.346980410845923680f, -0.937872376439989890f, 0.346800569692418400f, + -0.937938891858640210f, + 0.346620715788047320f, -0.938005372791958840f, 0.346440849139423580f, + -0.938071819237501160f, + 0.346260969753160170f, -0.938138231192824360f, 0.346081077635870480f, + -0.938204608655486490f, + 0.345901172794169100f, -0.938270951623047080f, 0.345721255234670120f, + -0.938337260093066950f, + 0.345541324963989150f, -0.938403534063108060f, 0.345361381988741170f, + -0.938469773530733800f, + 0.345181426315542610f, -0.938535978493508560f, 0.345001457951009780f, + -0.938602148948998290f, + 0.344821476901759290f, -0.938668284894770170f, 0.344641483174409070f, + -0.938734386328392460f, + 0.344461476775576480f, -0.938800453247434770f, 0.344281457711880230f, + -0.938866485649468060f, + 0.344101425989938980f, -0.938932483532064490f, 0.343921381616371700f, + -0.938998446892797540f, + 0.343741324597798600f, -0.939064375729241950f, 0.343561254940839330f, + -0.939130270038973650f, + 0.343381172652115100f, -0.939196129819569900f, 0.343201077738246710f, + -0.939261955068609100f, + 0.343020970205855540f, -0.939327745783671400f, 0.342840850061564060f, + -0.939393501962337510f, + 0.342660717311994380f, -0.939459223602189920f, 0.342480571963769850f, + -0.939524910700812120f, + 0.342300414023513690f, -0.939590563255789160f, 0.342120243497849590f, + -0.939656181264707070f, + 0.341940060393402300f, -0.939721764725153340f, 0.341759864716796310f, + -0.939787313634716570f, + 0.341579656474657210f, -0.939852827990986680f, 0.341399435673610360f, + -0.939918307791555050f, + 0.341219202320282410f, -0.939983753034013940f, 0.341038956421299830f, + -0.940049163715957370f, + 0.340858697983289440f, -0.940114539834980280f, 0.340678427012879310f, + -0.940179881388678810f, + 0.340498143516697100f, -0.940245188374650880f, 0.340317847501371730f, + -0.940310460790495070f, + 0.340137538973531880f, -0.940375698633811540f, 0.339957217939806880f, + -0.940440901902201750f, + 0.339776884406826960f, -0.940506070593268300f, 0.339596538381222060f, + -0.940571204704615190f, + 0.339416179869623410f, -0.940636304233847590f, 0.339235808878662120f, + -0.940701369178571940f, + 0.339055425414969640f, -0.940766399536396070f, 0.338875029485178560f, + -0.940831395304928870f, + 0.338694621095921190f, -0.940896356481780830f, 0.338514200253831000f, + -0.940961283064563280f, + 0.338333766965541290f, -0.941026175050889260f, 0.338153321237685990f, + -0.941091032438372780f, + 0.337972863076899830f, -0.941155855224629190f, 0.337792392489817460f, + -0.941220643407275180f, + 0.337611909483074680f, -0.941285396983928660f, 0.337431414063306790f, + -0.941350115952208970f, + 0.337250906237150650f, -0.941414800309736230f, 0.337070386011242730f, + -0.941479450054132580f, + 0.336889853392220050f, -0.941544065183020810f, 0.336709308386720700f, + -0.941608645694025140f, + 0.336528751001382350f, -0.941673191584771360f, 0.336348181242844100f, + -0.941737702852886160f, + 0.336167599117744690f, -0.941802179495997650f, 0.335987004632723350f, + -0.941866621511735280f, + 0.335806397794420560f, -0.941931028897729510f, 0.335625778609476230f, + -0.941995401651612550f, + 0.335445147084531660f, -0.942059739771017310f, 0.335264503226227970f, + -0.942124043253578460f, + 0.335083847041206580f, -0.942188312096931770f, 0.334903178536110290f, + -0.942252546298714020f, + 0.334722497717581220f, -0.942316745856563780f, 0.334541804592262960f, + -0.942380910768120470f, + 0.334361099166798900f, -0.942445041031024890f, 0.334180381447832740f, + -0.942509136642919240f, + 0.333999651442009490f, -0.942573197601446870f, 0.333818909155973620f, + -0.942637223904252530f, + 0.333638154596370920f, -0.942701215548981900f, 0.333457387769846790f, + -0.942765172533282510f, + 0.333276608683047980f, -0.942829094854802710f, 0.333095817342620890f, + -0.942892982511192130f, + 0.332915013755212650f, -0.942956835500102120f, 0.332734197927471160f, + -0.943020653819184650f, + 0.332553369866044220f, -0.943084437466093490f, 0.332372529577580680f, + -0.943148186438483420f, + 0.332191677068729320f, -0.943211900734010620f, 0.332010812346139380f, + -0.943275580350332540f, + 0.331829935416461220f, -0.943339225285107720f, 0.331649046286344620f, + -0.943402835535996240f, + 0.331468144962440920f, -0.943466411100659320f, 0.331287231451400990f, + -0.943529951976759370f, + 0.331106305759876430f, -0.943593458161960390f, 0.330925367894519650f, + -0.943656929653927110f, + 0.330744417861982890f, -0.943720366450326200f, 0.330563455668919590f, + -0.943783768548825060f, + 0.330382481321982950f, -0.943847135947092690f, 0.330201494827826620f, + -0.943910468642799150f, + 0.330020496193105530f, -0.943973766633615980f, 0.329839485424473940f, + -0.944037029917215830f, + 0.329658462528587550f, -0.944100258491272660f, 0.329477427512101680f, + -0.944163452353461770f, + 0.329296380381672800f, -0.944226611501459810f, 0.329115321143957360f, + -0.944289735932944410f, + 0.328934249805612200f, -0.944352825645594750f, 0.328753166373295100f, + -0.944415880637091250f, + 0.328572070853663690f, -0.944478900905115550f, 0.328390963253376630f, + -0.944541886447350380f, + 0.328209843579092660f, -0.944604837261480260f, 0.328028711837470730f, + -0.944667753345190490f, + 0.327847568035170960f, -0.944730634696167800f, 0.327666412178853060f, + -0.944793481312100280f, + 0.327485244275178060f, -0.944856293190677210f, 0.327304064330806830f, + -0.944919070329589220f, + 0.327122872352400510f, -0.944981812726528150f, 0.326941668346621530f, + -0.945044520379187070f, + 0.326760452320131790f, -0.945107193285260610f, 0.326579224279594460f, + -0.945169831442444150f, + 0.326397984231672660f, -0.945232434848434890f, 0.326216732183029770f, + -0.945295003500931100f, + 0.326035468140330350f, -0.945357537397632290f, 0.325854192110238580f, + -0.945420036536239070f, + 0.325672904099419900f, -0.945482500914453740f, 0.325491604114539260f, + -0.945544930529979680f, + 0.325310292162262980f, -0.945607325380521280f, 0.325128968249257190f, + -0.945669685463784710f, + 0.324947632382188430f, -0.945732010777477150f, 0.324766284567724330f, + -0.945794301319306860f, + 0.324584924812532150f, -0.945856557086983910f, 0.324403553123280290f, + -0.945918778078219110f, + 0.324222169506637130f, -0.945980964290724760f, 0.324040773969271450f, + -0.946043115722214560f, + 0.323859366517852960f, -0.946105232370403340f, 0.323677947159051180f, + -0.946167314233007370f, + 0.323496515899536760f, -0.946229361307743820f, 0.323315072745980150f, + -0.946291373592331510f, + 0.323133617705052330f, -0.946353351084490590f, 0.322952150783425370f, + -0.946415293781942110f, + 0.322770671987770710f, -0.946477201682408680f, 0.322589181324761390f, + -0.946539074783614100f, + 0.322407678801070020f, -0.946600913083283530f, 0.322226164423369650f, + -0.946662716579143360f, + 0.322044638198334620f, -0.946724485268921170f, 0.321863100132638580f, + -0.946786219150346000f, + 0.321681550232956640f, -0.946847918221148000f, 0.321499988505963450f, + -0.946909582479058760f, + 0.321318414958334910f, -0.946971211921810880f, 0.321136829596746780f, + -0.947032806547138620f, + 0.320955232427875210f, -0.947094366352777220f, 0.320773623458397440f, + -0.947155891336463270f, + 0.320592002694990330f, -0.947217381495934820f, 0.320410370144331880f, + -0.947278836828930880f, + 0.320228725813100020f, -0.947340257333191940f, 0.320047069707973140f, + -0.947401643006459900f, + 0.319865401835630610f, -0.947462993846477700f, 0.319683722202751370f, + -0.947524309850989570f, + 0.319502030816015750f, -0.947585591017741090f, 0.319320327682103720f, + -0.947646837344479190f, + 0.319138612807695900f, -0.947708048828952100f, 0.318956886199473770f, + -0.947769225468909180f, + 0.318775147864118480f, -0.947830367262101010f, 0.318593397808312470f, + -0.947891474206279730f, + 0.318411636038737960f, -0.947952546299198560f, 0.318229862562077580f, + -0.948013583538612200f, + 0.318048077385015060f, -0.948074585922276230f, 0.317866280514233660f, + -0.948135553447947980f, + 0.317684471956418020f, -0.948196486113385580f, 0.317502651718252260f, + -0.948257383916349060f, + 0.317320819806421790f, -0.948318246854599090f, 0.317138976227611890f, + -0.948379074925898120f, + 0.316957120988508150f, -0.948439868128009620f, 0.316775254095797380f, + -0.948500626458698260f, + 0.316593375556165850f, -0.948561349915730270f, 0.316411485376301090f, + -0.948622038496872990f, + 0.316229583562890490f, -0.948682692199895090f, 0.316047670122621860f, + -0.948743311022566480f, + 0.315865745062184070f, -0.948803894962658380f, 0.315683808388265600f, + -0.948864444017943340f, + 0.315501860107556040f, -0.948924958186195160f, 0.315319900226745050f, + -0.948985437465188710f, + 0.315137928752522440f, -0.949045881852700560f, 0.314955945691579250f, + -0.949106291346508260f, + 0.314773951050606070f, -0.949166665944390700f, 0.314591944836294710f, + -0.949227005644128210f, + 0.314409927055336820f, -0.949287310443502010f, 0.314227897714424500f, + -0.949347580340295210f, + 0.314045856820250820f, -0.949407815332291460f, 0.313863804379508500f, + -0.949468015417276550f, + 0.313681740398891570f, -0.949528180593036670f, 0.313499664885093450f, + -0.949588310857359950f, + 0.313317577844809070f, -0.949648406208035480f, 0.313135479284732950f, + -0.949708466642853800f, + 0.312953369211560200f, -0.949768492159606680f, 0.312771247631986880f, + -0.949828482756087000f, + 0.312589114552708660f, -0.949888438430089300f, 0.312406969980422500f, + -0.949948359179409010f, + 0.312224813921825050f, -0.950008245001843000f, 0.312042646383613510f, + -0.950068095895189590f, + 0.311860467372486130f, -0.950127911857248100f, 0.311678276895140550f, + -0.950187692885819280f, + 0.311496074958275970f, -0.950247438978705230f, 0.311313861568591090f, + -0.950307150133709140f, + 0.311131636732785270f, -0.950366826348635780f, 0.310949400457558760f, + -0.950426467621290900f, + 0.310767152749611470f, -0.950486073949481700f, 0.310584893615644560f, + -0.950545645331016600f, + 0.310402623062358880f, -0.950605181763705230f, 0.310220341096455910f, + -0.950664683245358910f, + 0.310038047724638000f, -0.950724149773789610f, 0.309855742953607130f, + -0.950783581346811070f, + 0.309673426790066490f, -0.950842977962238160f, 0.309491099240719050f, + -0.950902339617887060f, + 0.309308760312268780f, -0.950961666311575080f, 0.309126410011419550f, + -0.951020958041121080f, + 0.308944048344875710f, -0.951080214804345010f, 0.308761675319342570f, + -0.951139436599068190f, + 0.308579290941525030f, -0.951198623423113230f, 0.308396895218129240f, + -0.951257775274304000f, + 0.308214488155861220f, -0.951316892150465550f, 0.308032069761427330f, + -0.951375974049424420f, + 0.307849640041534980f, -0.951435020969008340f, 0.307667199002891190f, + -0.951494032907046370f, + 0.307484746652204160f, -0.951553009861368590f, 0.307302282996181950f, + -0.951611951829806730f, + 0.307119808041533100f, -0.951670858810193860f, 0.306937321794967020f, + -0.951729730800363720f, + 0.306754824263192780f, -0.951788567798152130f, 0.306572315452920800f, + -0.951847369801395620f, + 0.306389795370861080f, -0.951906136807932230f, 0.306207264023724280f, + -0.951964868815601380f, + 0.306024721418221900f, -0.952023565822243570f, 0.305842167561065080f, + -0.952082227825700620f, + 0.305659602458966230f, -0.952140854823815830f, 0.305477026118637360f, + -0.952199446814433580f, + 0.305294438546791720f, -0.952258003795399600f, 0.305111839750142220f, + -0.952316525764560830f, + 0.304929229735402430f, -0.952375012719765880f, 0.304746608509286640f, + -0.952433464658864030f, + 0.304563976078509050f, -0.952491881579706320f, 0.304381332449784940f, + -0.952550263480144930f, + 0.304198677629829270f, -0.952608610358033240f, 0.304016011625357570f, + -0.952666922211226170f, + 0.303833334443086470f, -0.952725199037579570f, 0.303650646089731910f, + -0.952783440834950920f, + 0.303467946572011370f, -0.952841647601198720f, 0.303285235896641910f, + -0.952899819334182880f, + 0.303102514070341060f, -0.952957956031764700f, 0.302919781099827420f, + -0.953016057691806530f, + 0.302737036991819140f, -0.953074124312172200f, 0.302554281753035670f, + -0.953132155890726750f, + 0.302371515390196130f, -0.953190152425336560f, 0.302188737910020040f, + -0.953248113913869320f, + 0.302005949319228200f, -0.953306040354193750f, 0.301823149624540650f, + -0.953363931744180330f, + 0.301640338832678880f, -0.953421788081700310f, 0.301457516950363940f, + -0.953479609364626610f, + 0.301274683984318000f, -0.953537395590833280f, 0.301091839941263210f, + -0.953595146758195680f, + 0.300908984827921890f, -0.953652862864590500f, 0.300726118651017620f, + -0.953710543907895560f, + 0.300543241417273400f, -0.953768189885990330f, 0.300360353133413580f, + -0.953825800796755050f, + 0.300177453806162120f, -0.953883376638071770f, 0.299994543442243580f, + -0.953940917407823500f, + 0.299811622048383460f, -0.953998423103894490f, 0.299628689631306790f, + -0.954055893724170660f, + 0.299445746197739950f, -0.954113329266538800f, 0.299262791754409010f, + -0.954170729728887280f, + 0.299079826308040480f, -0.954228095109105670f, 0.298896849865361910f, + -0.954285425405084650f, + 0.298713862433100390f, -0.954342720614716480f, 0.298530864017984230f, + -0.954399980735894490f, + 0.298347854626741570f, -0.954457205766513490f, 0.298164834266100910f, + -0.954514395704469500f, + 0.297981802942791920f, -0.954571550547659630f, 0.297798760663543550f, + -0.954628670293982680f, + 0.297615707435086310f, -0.954685754941338340f, 0.297432643264150030f, + -0.954742804487627940f, + 0.297249568157465890f, -0.954799818930753720f, 0.297066482121764840f, + -0.954856798268619580f, + 0.296883385163778270f, -0.954913742499130520f, 0.296700277290238460f, + -0.954970651620192790f, + 0.296517158507877410f, -0.955027525629714160f, 0.296334028823428240f, + -0.955084364525603410f, + 0.296150888243623960f, -0.955141168305770670f, 0.295967736775197890f, + -0.955197936968127710f, + 0.295784574424884370f, -0.955254670510586990f, 0.295601401199417360f, + -0.955311368931062720f, + 0.295418217105532070f, -0.955368032227470240f, 0.295235022149963390f, + -0.955424660397726330f, + 0.295051816339446720f, -0.955481253439748770f, 0.294868599680718380f, + -0.955537811351456770f, + 0.294685372180514330f, -0.955594334130771110f, 0.294502133845571720f, + -0.955650821775613220f, + 0.294318884682627570f, -0.955707274283906560f, 0.294135624698419080f, + -0.955763691653575440f, + 0.293952353899684770f, -0.955820073882545420f, 0.293769072293162400f, + -0.955876420968743590f, + 0.293585779885591310f, -0.955932732910098170f, 0.293402476683710060f, + -0.955989009704538930f, + 0.293219162694258680f, -0.956045251349996410f, 0.293035837923976920f, + -0.956101457844403040f, + 0.292852502379604810f, -0.956157629185692140f, 0.292669156067883570f, + -0.956213765371798470f, + 0.292485798995553830f, -0.956269866400658140f, 0.292302431169357610f, + -0.956325932270208230f, + 0.292119052596036540f, -0.956381962978387620f, 0.291935663282332780f, + -0.956437958523136180f, + 0.291752263234989370f, -0.956493918902394990f, 0.291568852460749040f, + -0.956549844114106820f, + 0.291385430966355720f, -0.956605734156215080f, 0.291201998758553020f, + -0.956661589026664980f, + 0.291018555844085090f, -0.956717408723403050f, 0.290835102229696940f, + -0.956773193244376930f, + 0.290651637922133220f, -0.956828942587535370f, 0.290468162928139870f, + -0.956884656750828900f, + 0.290284677254462330f, -0.956940335732208940f, 0.290101180907847140f, + -0.956995979529628230f, + 0.289917673895040860f, -0.957051588141040970f, 0.289734156222790250f, + -0.957107161564402790f, + 0.289550627897843140f, -0.957162699797670100f, 0.289367088926946960f, + -0.957218202838801210f, + 0.289183539316850310f, -0.957273670685755200f, 0.288999979074301530f, + -0.957329103336492790f, + 0.288816408206049480f, -0.957384500788975860f, 0.288632826718843940f, + -0.957439863041167570f, + 0.288449234619434170f, -0.957495190091032570f, 0.288265631914570830f, + -0.957550481936536470f, + 0.288082018611004300f, -0.957605738575646240f, 0.287898394715485170f, + -0.957660960006330610f, + 0.287714760234765280f, -0.957716146226558870f, 0.287531115175595930f, + -0.957771297234302320f, + 0.287347459544729570f, -0.957826413027532910f, 0.287163793348918560f, + -0.957881493604224250f, + 0.286980116594915570f, -0.957936538962351420f, 0.286796429289474190f, + -0.957991549099890370f, + 0.286612731439347790f, -0.958046524014818600f, 0.286429023051290750f, + -0.958101463705114620f, + 0.286245304132057120f, -0.958156368168758820f, 0.286061574688402100f, + -0.958211237403732260f, + 0.285877834727080730f, -0.958266071408017670f, 0.285694084254848320f, + -0.958320870179598880f, + 0.285510323278461380f, -0.958375633716461170f, 0.285326551804675810f, + -0.958430362016591040f, + 0.285142769840248720f, -0.958485055077976100f, 0.284958977391937150f, + -0.958539712898605730f, + 0.284775174466498300f, -0.958594335476470220f, 0.284591361070690550f, + -0.958648922809561040f, + 0.284407537211271820f, -0.958703474895871600f, 0.284223702895001100f, + -0.958757991733395710f, + 0.284039858128637360f, -0.958812473320129200f, 0.283856002918939750f, + -0.958866919654069010f, + 0.283672137272668550f, -0.958921330733213060f, 0.283488261196583550f, + -0.958975706555561080f, + 0.283304374697445790f, -0.959030047119113550f, 0.283120477782015990f, + -0.959084352421872730f, + 0.282936570457055390f, -0.959138622461841890f, 0.282752652729326040f, + -0.959192857237025740f, + 0.282568724605589740f, -0.959247056745430090f, 0.282384786092609420f, + -0.959301220985062210f, + 0.282200837197147500f, -0.959355349953930790f, 0.282016877925967690f, + -0.959409443650045550f, + 0.281832908285833460f, -0.959463502071417510f, 0.281648928283508680f, + -0.959517525216059260f, + 0.281464937925758050f, -0.959571513081984520f, 0.281280937219346110f, + -0.959625465667208300f, + 0.281096926171038320f, -0.959679382969746750f, 0.280912904787600120f, + -0.959733264987617680f, + 0.280728873075797190f, -0.959787111718839900f, 0.280544831042396360f, + -0.959840923161433660f, + 0.280360778694163810f, -0.959894699313420530f, 0.280176716037867040f, + -0.959948440172823210f, + 0.279992643080273380f, -0.960002145737665850f, 0.279808559828150390f, + -0.960055816005973890f, + 0.279624466288266700f, -0.960109450975773940f, 0.279440362467390510f, + -0.960163050645094000f, + 0.279256248372291240f, -0.960216615011963430f, 0.279072124009737970f, + -0.960270144074412800f, + 0.278887989386500280f, -0.960323637830473920f, 0.278703844509348600f, + -0.960377096278180130f, + 0.278519689385053060f, -0.960430519415565790f, 0.278335524020384970f, + -0.960483907240666790f, + 0.278151348422115090f, -0.960537259751520050f, 0.277967162597015430f, + -0.960590576946164120f, + 0.277782966551857800f, -0.960643858822638470f, 0.277598760293414290f, + -0.960697105378984450f, + 0.277414543828458200f, -0.960750316613243950f, 0.277230317163762120f, + -0.960803492523460760f, + 0.277046080306099950f, -0.960856633107679660f, 0.276861833262245390f, + -0.960909738363946770f, + 0.276677576038972420f, -0.960962808290309780f, 0.276493308643056100f, + -0.961015842884817230f, + 0.276309031081271030f, -0.961068842145519350f, 0.276124743360392890f, + -0.961121806070467380f, + 0.275940445487197320f, -0.961174734657714080f, 0.275756137468460120f, + -0.961227627905313460f, + 0.275571819310958250f, -0.961280485811320640f, 0.275387491021468140f, + -0.961333308373792270f, + 0.275203152606767370f, -0.961386095590786250f, 0.275018804073633380f, + -0.961438847460361570f, + 0.274834445428843940f, -0.961491563980579000f, 0.274650076679177790f, + -0.961544245149499990f, + 0.274465697831413220f, -0.961596890965187860f, 0.274281308892329710f, + -0.961649501425706820f, + 0.274096909868706330f, -0.961702076529122540f, 0.273912500767323320f, + -0.961754616273502010f, + 0.273728081594960650f, -0.961807120656913540f, 0.273543652358398730f, + -0.961859589677426570f, + 0.273359213064418790f, -0.961912023333112100f, 0.273174763719801870f, + -0.961964421622042320f, + 0.272990304331329980f, -0.962016784542290560f, 0.272805834905784920f, + -0.962069112091931580f, + 0.272621355449948980f, -0.962121404269041580f, 0.272436865970605350f, + -0.962173661071697770f, + 0.272252366474536660f, -0.962225882497979020f, 0.272067856968526980f, + -0.962278068545965090f, + 0.271883337459359890f, -0.962330219213737400f, 0.271698807953819510f, + -0.962382334499378380f, + 0.271514268458690810f, -0.962434414400971990f, 0.271329718980758420f, + -0.962486458916603450f, + 0.271145159526808070f, -0.962538468044359160f, 0.270960590103625330f, + -0.962590441782326780f, + 0.270776010717996010f, -0.962642380128595710f, 0.270591421376707050f, + -0.962694283081255930f, + 0.270406822086544820f, -0.962746150638399410f, 0.270222212854296930f, + -0.962797982798119010f, + 0.270037593686750510f, -0.962849779558509030f, 0.269852964590693910f, + -0.962901540917665000f, + 0.269668325572915200f, -0.962953266873683880f, 0.269483676640202840f, + -0.963004957424663850f, + 0.269299017799346230f, -0.963056612568704340f, 0.269114349057134330f, + -0.963108232303906190f, + 0.268929670420357310f, -0.963159816628371360f, 0.268744981895805090f, + -0.963211365540203480f, + 0.268560283490267890f, -0.963262879037507070f, 0.268375575210537010f, + -0.963314357118388090f, + 0.268190857063403180f, -0.963365799780954050f, 0.268006129055658350f, + -0.963417207023313350f, + 0.267821391194094320f, -0.963468578843575950f, 0.267636643485503090f, + -0.963519915239853140f, + 0.267451885936677740f, -0.963571216210257210f, 0.267267118554410930f, + -0.963622481752902220f, + 0.267082341345496350f, -0.963673711865903230f, 0.266897554316727510f, + -0.963724906547376410f, + 0.266712757474898420f, -0.963776065795439840f, 0.266527950826803810f, + -0.963827189608212340f, + 0.266343134379238180f, -0.963878277983814200f, 0.266158308138997050f, + -0.963929330920367140f, + 0.265973472112875530f, -0.963980348415994110f, 0.265788626307669970f, + -0.964031330468819280f, + 0.265603770730176440f, -0.964082277076968140f, 0.265418905387191260f, + -0.964133188238567640f, + 0.265234030285511900f, -0.964184063951745720f, 0.265049145431935200f, + -0.964234904214632200f, + 0.264864250833259320f, -0.964285709025357370f, 0.264679346496282050f, + -0.964336478382053720f, + 0.264494432427801630f, -0.964387212282854290f, 0.264309508634617220f, + -0.964437910725893910f, + 0.264124575123527490f, -0.964488573709308410f, 0.263939631901332410f, + -0.964539201231235150f, + 0.263754678974831510f, -0.964589793289812650f, 0.263569716350824880f, + -0.964640349883180930f, + 0.263384744036113390f, -0.964690871009480920f, 0.263199762037497560f, + -0.964741356666855340f, + 0.263014770361779060f, -0.964791806853447900f, 0.262829769015759330f, + -0.964842221567403510f, + 0.262644758006240100f, -0.964892600806868890f, 0.262459737340024090f, + -0.964942944569991410f, + 0.262274707023913590f, -0.964993252854920320f, 0.262089667064712100f, + -0.965043525659805890f, + 0.261904617469222560f, -0.965093762982799590f, 0.261719558244249080f, + -0.965143964822054450f, + 0.261534489396595630f, -0.965194131175724720f, 0.261349410933066350f, + -0.965244262041965780f, + 0.261164322860466590f, -0.965294357418934660f, 0.260979225185601020f, + -0.965344417304789370f, + 0.260794117915275570f, -0.965394441697689400f, 0.260609001056295920f, + -0.965444430595795430f, + 0.260423874615468010f, -0.965494383997269500f, 0.260238738599598950f, + -0.965544301900275070f, + 0.260053593015495130f, -0.965594184302976830f, 0.259868437869964330f, + -0.965644031203540590f, + 0.259683273169813930f, -0.965693842600133690f, 0.259498098921851660f, + -0.965743618490924830f, + 0.259312915132886350f, -0.965793358874083570f, 0.259127721809726150f, + -0.965843063747781510f, + 0.258942518959180580f, -0.965892733110190860f, 0.258757306588058840f, + -0.965942366959485540f, + 0.258572084703170390f, -0.965991965293840570f, 0.258386853311325710f, + -0.966041528111432400f, + 0.258201612419334870f, -0.966091055410438830f, 0.258016362034009070f, + -0.966140547189038750f, + 0.257831102162158930f, -0.966190003445412620f, 0.257645832810596440f, + -0.966239424177741890f, + 0.257460553986133210f, -0.966288809384209580f, 0.257275265695581120f, + -0.966338159063000130f, + 0.257089967945753230f, -0.966387473212298790f, 0.256904660743461850f, + -0.966436751830292650f, + 0.256719344095520720f, -0.966485994915169840f, 0.256534018008743200f, + -0.966535202465119700f, + 0.256348682489942910f, -0.966584374478333120f, 0.256163337545934570f, + -0.966633510953002100f, + 0.255977983183532380f, -0.966682611887320190f, 0.255792619409551670f, + -0.966731677279481840f, + 0.255607246230807550f, -0.966780707127683270f, 0.255421863654115460f, + -0.966829701430121810f, + 0.255236471686291820f, -0.966878660184995910f, 0.255051070334152530f, + -0.966927583390505660f, + 0.254865659604514630f, -0.966976471044852070f, 0.254680239504194990f, + -0.967025323146237900f, + 0.254494810040010790f, -0.967074139692867040f, 0.254309371218780110f, + -0.967122920682944360f, + 0.254123923047320620f, -0.967171666114676640f, 0.253938465532451140f, + -0.967220375986271310f, + 0.253752998680989940f, -0.967269050295937790f, 0.253567522499756610f, + -0.967317689041886310f, + 0.253382036995570270f, -0.967366292222328510f, 0.253196542175250560f, + -0.967414859835477480f, + 0.253011038045617980f, -0.967463391879547440f, 0.252825524613492610f, + -0.967511888352754150f, + 0.252640001885695580f, -0.967560349253314360f, 0.252454469869047900f, + -0.967608774579446380f, + 0.252268928570370810f, -0.967657164329369880f, 0.252083377996486560f, + -0.967705518501305480f, + 0.251897818154216910f, -0.967753837093475510f, 0.251712249050384750f, + -0.967802120104103270f, + 0.251526670691812780f, -0.967850367531413620f, 0.251341083085323880f, + -0.967898579373632660f, + 0.251155486237742030f, -0.967946755628987800f, 0.250969880155890720f, + -0.967994896295707670f, + 0.250784264846594550f, -0.968043001372022260f, 0.250598640316677830f, + -0.968091070856162970f, + 0.250413006572965280f, -0.968139104746362330f, 0.250227363622282540f, + -0.968187103040854420f, + 0.250041711471454650f, -0.968235065737874320f, 0.249856050127308050f, + -0.968282992835658660f, + 0.249670379596668520f, -0.968330884332445300f, 0.249484699886363010f, + -0.968378740226473300f, + 0.249299011003218300f, -0.968426560515983190f, 0.249113312954061360f, + -0.968474345199216820f, + 0.248927605745720260f, -0.968522094274417270f, 0.248741889385022420f, + -0.968569807739828930f, + 0.248556163878796620f, -0.968617485593697540f, 0.248370429233871150f, + -0.968665127834269950f, + 0.248184685457074780f, -0.968712734459794780f, 0.247998932555237220f, + -0.968760305468521430f, + 0.247813170535187620f, -0.968807840858700970f, 0.247627399403756330f, + -0.968855340628585580f, + 0.247441619167773440f, -0.968902804776428870f, 0.247255829834069320f, + -0.968950233300485800f, + 0.247070031409475370f, -0.968997626199012310f, 0.246884223900822430f, + -0.969044983470266240f, + 0.246698407314942500f, -0.969092305112506100f, 0.246512581658667380f, + -0.969139591123992280f, + 0.246326746938829060f, -0.969186841502985950f, 0.246140903162260640f, + -0.969234056247750050f, + 0.245955050335794590f, -0.969281235356548530f, 0.245769188466264670f, + -0.969328378827646660f, + 0.245583317560504000f, -0.969375486659311280f, 0.245397437625346990f, + -0.969422558849810320f, + 0.245211548667627680f, -0.969469595397412950f, 0.245025650694180470f, + -0.969516596300390000f, + 0.244839743711840750f, -0.969563561557013180f, 0.244653827727443320f, + -0.969610491165555870f, + 0.244467902747824210f, -0.969657385124292450f, 0.244281968779819170f, + -0.969704243431498750f, + 0.244096025830264210f, -0.969751066085452140f, 0.243910073905996370f, + -0.969797853084430890f, + 0.243724113013852130f, -0.969844604426714830f, 0.243538143160669180f, + -0.969891320110585100f, + 0.243352164353284880f, -0.969938000134323960f, 0.243166176598536930f, + -0.969984644496215240f, + 0.242980179903263980f, -0.970031253194543970f, 0.242794174274304190f, + -0.970077826227596420f, + 0.242608159718496890f, -0.970124363593660280f, 0.242422136242681050f, + -0.970170865291024360f, + 0.242236103853696040f, -0.970217331317979160f, 0.242050062558382180f, + -0.970263761672816140f, + 0.241864012363579210f, -0.970310156353828110f, 0.241677953276128090f, + -0.970356515359309450f, + 0.241491885302869300f, -0.970402838687555500f, 0.241305808450644390f, + -0.970449126336863090f, + 0.241119722726294730f, -0.970495378305530450f, 0.240933628136661910f, + -0.970541594591857070f, + 0.240747524688588540f, -0.970587775194143630f, 0.240561412388916620f, + -0.970633920110692160f, + 0.240375291244489500f, -0.970680029339806130f, 0.240189161262150040f, + -0.970726102879790110f, + 0.240003022448741500f, -0.970772140728950350f, 0.239816874811108110f, + -0.970818142885593870f, + 0.239630718356093560f, -0.970864109348029470f, 0.239444553090542720f, + -0.970910040114567050f, + 0.239258379021300120f, -0.970955935183517970f, 0.239072196155210660f, + -0.971001794553194690f, + 0.238886004499120170f, -0.971047618221911100f, 0.238699804059873950f, + -0.971093406187982460f, + 0.238513594844318500f, -0.971139158449725090f, 0.238327376859299970f, + -0.971184875005457030f, + 0.238141150111664870f, -0.971230555853497380f, 0.237954914608260650f, + -0.971276200992166490f, + 0.237768670355934210f, -0.971321810419786160f, 0.237582417361533650f, + -0.971367384134679490f, + 0.237396155631906550f, -0.971412922135170940f, 0.237209885173901620f, + -0.971458424419585960f, + 0.237023605994367340f, -0.971503890986251780f, 0.236837318100152380f, + -0.971549321833496630f, + 0.236651021498106460f, -0.971594716959650160f, 0.236464716195078750f, + -0.971640076363043390f, + 0.236278402197919620f, -0.971685400042008540f, 0.236092079513479050f, + -0.971730687994879160f, + 0.235905748148607370f, -0.971775940219990140f, 0.235719408110155930f, + -0.971821156715677700f, + 0.235533059404975460f, -0.971866337480279400f, 0.235346702039917920f, + -0.971911482512134000f, + 0.235160336021834860f, -0.971956591809581600f, 0.234973961357578310f, + -0.972001665370963890f, + 0.234787578054001080f, -0.972046703194623380f, 0.234601186117955550f, + -0.972091705278904430f, + 0.234414785556295250f, -0.972136671622152120f, 0.234228376375873380f, + -0.972181602222713440f, + 0.234041958583543460f, -0.972226497078936270f, 0.233855532186159950f, + -0.972271356189170040f, + 0.233669097190576820f, -0.972316179551765300f, 0.233482653603649170f, + -0.972360967165074140f, + 0.233296201432231560f, -0.972405719027449770f, 0.233109740683179740f, + -0.972450435137246830f, + 0.232923271363349120f, -0.972495115492821190f, 0.232736793479595420f, + -0.972539760092530180f, + 0.232550307038775330f, -0.972584368934732210f, 0.232363812047745010f, + -0.972628942017787270f, + 0.232177308513361770f, -0.972673479340056430f, 0.231990796442482580f, + -0.972717980899902250f, + 0.231804275841964780f, -0.972762446695688570f, 0.231617746718666580f, + -0.972806876725780370f, + 0.231431209079445730f, -0.972851270988544180f, 0.231244662931161110f, + -0.972895629482347760f, + 0.231058108280671280f, -0.972939952205560070f, 0.230871545134835070f, + -0.972984239156551740f, + 0.230684973500512310f, -0.973028490333694100f, 0.230498393384562320f, + -0.973072705735360530f, + 0.230311804793845530f, -0.973116885359925130f, 0.230125207735222020f, + -0.973161029205763530f, + 0.229938602215552260f, -0.973205137271252800f, 0.229751988241697600f, + -0.973249209554771120f, + 0.229565365820518870f, -0.973293246054698250f, 0.229378734958878120f, + -0.973337246769414800f, + 0.229192095663636740f, -0.973381211697303290f, 0.229005447941657390f, + -0.973425140836747030f, + 0.228818791799802360f, -0.973469034186130950f, 0.228632127244934230f, + -0.973512891743841370f, + 0.228445454283916550f, -0.973556713508265560f, 0.228258772923612350f, + -0.973600499477792370f, + 0.228072083170885790f, -0.973644249650811870f, 0.227885385032600700f, + -0.973687964025715670f, + 0.227698678515621170f, -0.973731642600896400f, 0.227511963626812390f, + -0.973775285374748000f, + 0.227325240373038830f, -0.973818892345666100f, 0.227138508761166260f, + -0.973862463512047300f, + 0.226951768798059980f, -0.973905998872289460f, 0.226765020490585720f, + -0.973949498424792170f, + 0.226578263845610110f, -0.973992962167955830f, 0.226391498869999210f, + -0.974036390100182610f, + 0.226204725570620270f, -0.974079782219875680f, 0.226017943954340190f, + -0.974123138525439520f, + 0.225831154028026200f, -0.974166459015280320f, 0.225644355798546440f, + -0.974209743687805110f, + 0.225457549272768540f, -0.974252992541422500f, 0.225270734457561240f, + -0.974296205574542330f, + 0.225083911359792780f, -0.974339382785575860f, 0.224897079986332540f, + -0.974382524172935470f, + 0.224710240344049570f, -0.974425629735034990f, 0.224523392439813170f, + -0.974468699470289580f, + 0.224336536280493690f, -0.974511733377115720f, 0.224149671872960840f, + -0.974554731453931230f, + 0.223962799224085520f, -0.974597693699155050f, 0.223775918340738290f, + -0.974640620111207560f, + 0.223589029229790020f, -0.974683510688510670f, 0.223402131898112480f, + -0.974726365429487320f, + 0.223215226352576960f, -0.974769184332561770f, 0.223028312600055870f, + -0.974811967396159830f, + 0.222841390647421280f, -0.974854714618708430f, 0.222654460501545550f, + -0.974897425998635820f, + 0.222467522169301990f, -0.974940101534371720f, 0.222280575657563370f, + -0.974982741224347140f, + 0.222093620973203590f, -0.975025345066994120f, 0.221906658123096260f, + -0.975067913060746360f, + 0.221719687114115240f, -0.975110445204038890f, 0.221532707953135340f, + -0.975152941495307620f, + 0.221345720647030810f, -0.975195401932990370f, 0.221158725202677100f, + -0.975237826515525820f, + 0.220971721626949060f, -0.975280215241354220f, 0.220784709926722670f, + -0.975322568108916930f, + 0.220597690108873650f, -0.975364885116656870f, 0.220410662180277940f, + -0.975407166263018270f, + 0.220223626147812460f, -0.975449411546446380f, 0.220036582018353550f, + -0.975491620965388110f, + 0.219849529798778750f, -0.975533794518291360f, 0.219662469495965180f, + -0.975575932203605610f, + 0.219475401116790340f, -0.975618034019781750f, 0.219288324668132580f, + -0.975660099965271590f, + 0.219101240156869770f, -0.975702130038528570f, 0.218914147589880900f, + -0.975744124238007270f, + 0.218727046974044600f, -0.975786082562163930f, 0.218539938316239830f, + -0.975828005009455550f, + 0.218352821623346430f, -0.975869891578341030f, 0.218165696902243770f, + -0.975911742267280170f, + 0.217978564159812290f, -0.975953557074734300f, 0.217791423402932120f, + -0.975995335999165880f, + 0.217604274638483670f, -0.976037079039039020f, 0.217417117873348300f, + -0.976078786192818850f, + 0.217229953114406790f, -0.976120457458971910f, 0.217042780368541080f, + -0.976162092835966110f, + 0.216855599642632570f, -0.976203692322270560f, 0.216668410943563790f, + -0.976245255916355800f, + 0.216481214278216900f, -0.976286783616693630f, 0.216294009653474370f, + -0.976328275421757260f, + 0.216106797076219600f, -0.976369731330021140f, 0.215919576553335460f, + -0.976411151339961040f, + 0.215732348091705940f, -0.976452535450054060f, 0.215545111698214660f, + -0.976493883658778540f, + 0.215357867379745550f, -0.976535195964614470f, 0.215170615143183500f, + -0.976576472366042610f, + 0.214983354995412820f, -0.976617712861545640f, 0.214796086943318920f, + -0.976658917449606980f, + 0.214608810993786920f, -0.976700086128711840f, 0.214421527153702190f, + -0.976741218897346550f, + 0.214234235429951100f, -0.976782315753998650f, 0.214046935829419330f, + -0.976823376697157240f, + 0.213859628358993830f, -0.976864401725312640f, 0.213672313025561140f, + -0.976905390836956490f, + 0.213484989836008080f, -0.976946344030581560f, 0.213297658797222430f, + -0.976987261304682390f, + 0.213110319916091360f, -0.977028142657754390f, 0.212922973199503260f, + -0.977068988088294450f, + 0.212735618654345870f, -0.977109797594800880f, 0.212548256287508120f, + -0.977150571175773200f, + 0.212360886105878580f, -0.977191308829712280f, 0.212173508116346080f, + -0.977232010555120320f, + 0.211986122325800410f, -0.977272676350500860f, 0.211798728741130820f, + -0.977313306214358750f, + 0.211611327369227610f, -0.977353900145199960f, 0.211423918216980810f, + -0.977394458141532250f, + 0.211236501291280710f, -0.977434980201864260f, 0.211049076599018500f, + -0.977475466324706050f, + 0.210861644147084830f, -0.977515916508569280f, 0.210674203942371490f, + -0.977556330751966460f, + 0.210486755991769890f, -0.977596709053411780f, 0.210299300302171750f, + -0.977637051411420770f, + 0.210111836880469720f, -0.977677357824509930f, 0.209924365733555860f, + -0.977717628291197570f, + 0.209736886868323370f, -0.977757862810002760f, 0.209549400291665110f, + -0.977798061379446360f, + 0.209361906010474190f, -0.977838223998050430f, 0.209174404031644700f, + -0.977878350664338150f, + 0.208986894362070070f, -0.977918441376834370f, 0.208799377008644980f, + -0.977958496134064830f, + 0.208611851978263460f, -0.977998514934557140f, 0.208424319277820650f, + -0.978038497776839600f, + 0.208236778914211470f, -0.978078444659442380f, 0.208049230894330940f, + -0.978118355580896660f, + 0.207861675225075150f, -0.978158230539735050f, 0.207674111913339540f, + -0.978198069534491400f, + 0.207486540966020700f, -0.978237872563701090f, 0.207298962390014880f, + -0.978277639625900420f, + 0.207111376192218560f, -0.978317370719627650f, 0.206923782379529210f, + -0.978357065843421640f, + 0.206736180958843660f, -0.978396724995823090f, 0.206548571937059940f, + -0.978436348175373730f, + 0.206360955321075680f, -0.978475935380616830f, 0.206173331117788770f, + -0.978515486610096910f, + 0.205985699334098050f, -0.978555001862359550f, 0.205798059976901760f, + -0.978594481135952270f, + 0.205610413053099320f, -0.978633924429423100f, 0.205422758569589780f, + -0.978673331741322210f, + 0.205235096533272380f, -0.978712703070200420f, 0.205047426951047380f, + -0.978752038414610340f, + 0.204859749829814420f, -0.978791337773105670f, 0.204672065176474290f, + -0.978830601144241470f, + 0.204484372997927180f, -0.978869828526574120f, 0.204296673301074430f, + -0.978909019918661310f, + 0.204108966092817010f, -0.978948175319062200f, 0.203921251380056150f, + -0.978987294726337050f, + 0.203733529169694010f, -0.979026378139047580f, 0.203545799468632190f, + -0.979065425555756930f, + 0.203358062283773370f, -0.979104436975029250f, 0.203170317622019920f, + -0.979143412395430230f, + 0.202982565490274460f, -0.979182351815526930f, 0.202794805895440550f, + -0.979221255233887700f, + 0.202607038844421110f, -0.979260122649082020f, 0.202419264344120220f, + -0.979298954059681040f, + 0.202231482401441620f, -0.979337749464256780f, 0.202043693023289280f, + -0.979376508861383170f, + 0.201855896216568160f, -0.979415232249634780f, 0.201668091988182500f, + -0.979453919627588210f, + 0.201480280345037820f, -0.979492570993820700f, 0.201292461294039190f, + -0.979531186346911390f, + 0.201104634842091960f, -0.979569765685440520f, 0.200916800996102370f, + -0.979608309007989450f, + 0.200728959762976140f, -0.979646816313141210f, 0.200541111149620090f, + -0.979685287599479930f, + 0.200353255162940420f, -0.979723722865591170f, 0.200165391809844500f, + -0.979762122110061640f, + 0.199977521097239290f, -0.979800485331479680f, 0.199789643032032120f, + -0.979838812528434740f, + 0.199601757621131050f, -0.979877103699517640f, 0.199413864871443750f, + -0.979915358843320480f, + 0.199225964789878890f, -0.979953577958436740f, 0.199038057383344820f, + -0.979991761043461200f, + 0.198850142658750120f, -0.980029908096989980f, 0.198662220623004320f, + -0.980068019117620650f, + 0.198474291283016360f, -0.980106094103951770f, 0.198286354645696270f, + -0.980144133054583590f, + 0.198098410717953730f, -0.980182135968117320f, 0.197910459506698720f, + -0.980220102843155970f, + 0.197722501018842030f, -0.980258033678303550f, 0.197534535261294000f, + -0.980295928472165290f, + 0.197346562240966000f, -0.980333787223347960f, 0.197158581964769040f, + -0.980371609930459690f, + 0.196970594439614370f, -0.980409396592109910f, 0.196782599672414240f, + -0.980447147206909060f, + 0.196594597670080220f, -0.980484861773469380f, 0.196406588439525050f, + -0.980522540290404090f, + 0.196218571987660850f, -0.980560182756327950f, 0.196030548321400880f, + -0.980597789169856850f, + 0.195842517447657990f, -0.980635359529608120f, 0.195654479373345370f, + -0.980672893834200530f, + 0.195466434105377090f, -0.980710392082253970f, 0.195278381650666520f, + -0.980747854272389750f, + 0.195090322016128330f, -0.980785280403230430f, 0.194902255208676660f, + -0.980822670473399990f, + 0.194714181235225990f, -0.980860024481523870f, 0.194526100102691720f, + -0.980897342426228390f, + 0.194338011817988600f, -0.980934624306141640f, 0.194149916388032530f, + -0.980971870119892840f, + 0.193961813819739010f, -0.981009079866112630f, 0.193773704120023840f, + -0.981046253543432780f, + 0.193585587295803750f, -0.981083391150486590f, 0.193397463353994740f, + -0.981120492685908730f, + 0.193209332301514080f, -0.981157558148334830f, 0.193021194145278320f, + -0.981194587536402320f, + 0.192833048892205290f, -0.981231580848749730f, 0.192644896549212240f, + -0.981268538084016710f, + 0.192456737123216840f, -0.981305459240844670f, 0.192268570621137590f, + -0.981342344317875930f, + 0.192080397049892380f, -0.981379193313754560f, 0.191892216416400310f, + -0.981416006227125550f, + 0.191704028727579940f, -0.981452783056635520f, 0.191515833990350240f, + -0.981489523800932130f, + 0.191327632211630990f, -0.981526228458664660f, 0.191139423398341420f, + -0.981562897028483650f, + 0.190951207557401860f, -0.981599529509040720f, 0.190762984695732250f, + -0.981636125898989080f, + 0.190574754820252800f, -0.981672686196983110f, 0.190386517937884580f, + -0.981709210401678800f, + 0.190198274055548120f, -0.981745698511732990f, 0.190010023180165050f, + -0.981782150525804310f, + 0.189821765318656580f, -0.981818566442552500f, 0.189633500477944220f, + -0.981854946260638630f, + 0.189445228664950340f, -0.981891289978724990f, 0.189256949886596720f, + -0.981927597595475540f, + 0.189068664149806280f, -0.981963869109555240f, 0.188880371461501330f, + -0.982000104519630490f, + 0.188692071828605260f, -0.982036303824369020f, 0.188503765258041080f, + -0.982072467022439890f, + 0.188315451756732120f, -0.982108594112513610f, 0.188127131331602530f, + -0.982144685093261580f, + 0.187938803989575850f, -0.982180739963357200f, 0.187750469737576840f, + -0.982216758721474510f, + 0.187562128582529740f, -0.982252741366289370f, 0.187373780531359110f, + -0.982288687896478830f, + 0.187185425590990440f, -0.982324598310721160f, 0.186997063768348510f, + -0.982360472607696210f, + 0.186808695070359330f, -0.982396310786084690f, 0.186620319503948420f, + -0.982432112844569110f, + 0.186431937076041640f, -0.982467878781833170f, 0.186243547793565670f, + -0.982503608596561720f, + 0.186055151663446630f, -0.982539302287441240f, 0.185866748692611720f, + -0.982574959853159240f, + 0.185678338887987790f, -0.982610581292404750f, 0.185489922256501900f, + -0.982646166603868050f, + 0.185301498805082040f, -0.982681715786240860f, 0.185113068540655510f, + -0.982717228838215990f, + 0.184924631470150870f, -0.982752705758487830f, 0.184736187600495930f, + -0.982788146545751970f, + 0.184547736938619640f, -0.982823551198705240f, 0.184359279491450640f, + -0.982858919716046110f, + 0.184170815265917720f, -0.982894252096474070f, 0.183982344268950600f, + -0.982929548338690060f, + 0.183793866507478390f, -0.982964808441396440f, 0.183605381988431350f, + -0.983000032403296590f, + 0.183416890718739230f, -0.983035220223095640f, 0.183228392705332140f, + -0.983070371899499640f, + 0.183039887955141060f, -0.983105487431216290f, 0.182851376475096310f, + -0.983140566816954500f, + 0.182662858272129360f, -0.983175610055424420f, 0.182474333353171260f, + -0.983210617145337640f, + 0.182285801725153320f, -0.983245588085407070f, 0.182097263395007760f, + -0.983280522874346970f, + 0.181908718369666160f, -0.983315421510872810f, 0.181720166656061170f, + -0.983350283993701500f, + 0.181531608261125130f, -0.983385110321551180f, 0.181343043191790590f, + -0.983419900493141540f, + 0.181154471454990920f, -0.983454654507193270f, 0.180965893057658980f, + -0.983489372362428730f, + 0.180777308006728670f, -0.983524054057571260f, 0.180588716309133280f, + -0.983558699591345900f, + 0.180400117971807270f, -0.983593308962478650f, 0.180211513001684590f, + -0.983627882169697210f, + 0.180022901405699510f, -0.983662419211730250f, 0.179834283190787180f, + -0.983696920087308020f, + 0.179645658363882100f, -0.983731384795162090f, 0.179457026931919950f, + -0.983765813334025240f, + 0.179268388901835880f, -0.983800205702631490f, 0.179079744280565390f, + -0.983834561899716630f, + 0.178891093075044830f, -0.983868881924017220f, 0.178702435292209940f, + -0.983903165774271500f, + 0.178513770938997590f, -0.983937413449218920f, 0.178325100022344140f, + -0.983971624947600270f, + 0.178136422549186320f, -0.984005800268157870f, 0.177947738526461670f, + -0.984039939409634970f, + 0.177759047961107140f, -0.984074042370776450f, 0.177570350860060790f, + -0.984108109150328540f, + 0.177381647230260200f, -0.984142139747038570f, 0.177192937078643310f, + -0.984176134159655320f, + 0.177004220412148860f, -0.984210092386929030f, 0.176815497237715000f, + -0.984244014427611110f, + 0.176626767562280960f, -0.984277900280454370f, 0.176438031392785350f, + -0.984311749944212780f, + 0.176249288736167940f, -0.984345563417641900f, 0.176060539599367960f, + -0.984379340699498510f, + 0.175871783989325040f, -0.984413081788540700f, 0.175683021912979580f, + -0.984446786683527920f, + 0.175494253377271400f, -0.984480455383220930f, 0.175305478389141370f, + -0.984514087886381840f, + 0.175116696955530060f, -0.984547684191773960f, 0.174927909083378160f, + -0.984581244298162180f, + 0.174739114779627310f, -0.984614768204312600f, 0.174550314051218490f, + -0.984648255908992630f, + 0.174361506905093830f, -0.984681707410970940f, 0.174172693348194960f, + -0.984715122709017620f, + 0.173983873387463850f, -0.984748501801904210f, 0.173795047029843270f, + -0.984781844688403350f, + 0.173606214282275410f, -0.984815151367289140f, 0.173417375151703520f, + -0.984848421837337010f, + 0.173228529645070490f, -0.984881656097323700f, 0.173039677769319390f, + -0.984914854146027200f, + 0.172850819531394200f, -0.984948015982227030f, 0.172661954938238270f, + -0.984981141604703960f, + 0.172473083996796030f, -0.985014231012239840f, 0.172284206714011350f, + -0.985047284203618200f, + 0.172095323096829040f, -0.985080301177623800f, 0.171906433152193700f, + -0.985113281933042590f, + 0.171717536887049970f, -0.985146226468662230f, 0.171528634308343500f, + -0.985179134783271020f, + 0.171339725423019260f, -0.985212006875659460f, 0.171150810238023340f, + -0.985244842744618540f, + 0.170961888760301360f, -0.985277642388941220f, 0.170772960996799230f, + -0.985310405807421570f, + 0.170584026954463700f, -0.985343132998854790f, 0.170395086640240920f, + -0.985375823962037710f, + 0.170206140061078120f, -0.985408478695768420f, 0.170017187223922090f, + -0.985441097198846210f, + 0.169828228135719880f, -0.985473679470071810f, 0.169639262803419400f, + -0.985506225508247290f, + 0.169450291233967930f, -0.985538735312176060f, 0.169261313434313890f, + -0.985571208880662740f, + 0.169072329411405180f, -0.985603646212513400f, 0.168883339172190010f, + -0.985636047306535420f, + 0.168694342723617440f, -0.985668412161537550f, 0.168505340072635900f, + -0.985700740776329850f, + 0.168316331226194910f, -0.985733033149723490f, 0.168127316191243350f, + -0.985765289280531310f, + 0.167938294974731230f, -0.985797509167567370f, 0.167749267583608030f, + -0.985829692809647050f, + 0.167560234024823590f, -0.985861840205586980f, 0.167371194305328540f, + -0.985893951354205210f, + 0.167182148432072880f, -0.985926026254321130f, 0.166993096412007770f, + -0.985958064904755460f, + 0.166804038252083870f, -0.985990067304330030f, 0.166614973959252090f, + -0.986022033451868560f, + 0.166425903540464220f, -0.986053963346195440f, 0.166236827002671390f, + -0.986085856986136820f, + 0.166047744352825850f, -0.986117714370520090f, 0.165858655597879430f, + -0.986149535498173860f, + 0.165669560744784140f, -0.986181320367928270f, 0.165480459800492890f, + -0.986213068978614490f, + 0.165291352771957970f, -0.986244781329065460f, 0.165102239666132720f, + -0.986276457418114980f, + 0.164913120489970090f, -0.986308097244598670f, 0.164723995250423190f, + -0.986339700807353000f, + 0.164534863954446110f, -0.986371268105216030f, 0.164345726608992190f, + -0.986402799137027220f, + 0.164156583221015890f, -0.986434293901627070f, 0.163967433797471110f, + -0.986465752397857940f, + 0.163778278345312690f, -0.986497174624562880f, 0.163589116871495160f, + -0.986528560580586690f, + 0.163399949382973230f, -0.986559910264775410f, 0.163210775886702460f, + -0.986591223675976400f, + 0.163021596389637810f, -0.986622500813038480f, 0.162832410898735260f, + -0.986653741674811350f, + 0.162643219420950450f, -0.986684946260146690f, 0.162454021963239190f, + -0.986716114567897100f, + 0.162264818532558110f, -0.986747246596916480f, 0.162075609135863330f, + -0.986778342346060430f, + 0.161886393780111910f, -0.986809401814185420f, 0.161697172472260540f, + -0.986840425000149680f, + 0.161507945219266150f, -0.986871411902812470f, 0.161318712028086540f, + -0.986902362521034470f, + 0.161129472905678780f, -0.986933276853677710f, 0.160940227859001140f, + -0.986964154899605650f, + 0.160750976895011390f, -0.986994996657682870f, 0.160561720020667510f, + -0.987025802126775600f, + 0.160372457242928400f, -0.987056571305750970f, 0.160183188568752240f, + -0.987087304193477900f, + 0.159993914005098350f, -0.987118000788826280f, 0.159804633558925380f, + -0.987148661090667570f, + 0.159615347237193090f, -0.987179285097874340f, 0.159426055046860750f, + -0.987209872809320820f, + 0.159236756994887850f, -0.987240424223882250f, 0.159047453088234840f, + -0.987270939340435420f, + 0.158858143333861390f, -0.987301418157858430f, 0.158668827738728370f, + -0.987331860675030430f, + 0.158479506309796100f, -0.987362266890832400f, 0.158290179054025180f, + -0.987392636804146240f, + 0.158100845978377090f, -0.987422970413855410f, 0.157911507089812640f, + -0.987453267718844560f, + 0.157722162395293690f, -0.987483528717999710f, 0.157532811901781670f, + -0.987513753410208420f, + 0.157343455616238280f, -0.987543941794359230f, 0.157154093545626010f, + -0.987574093869342360f, + 0.156964725696906750f, -0.987604209634049160f, 0.156775352077043430f, + -0.987634289087372160f, + 0.156585972692998590f, -0.987664332228205710f, 0.156396587551734940f, + -0.987694339055445130f, + 0.156207196660216040f, -0.987724309567986960f, 0.156017800025404830f, + -0.987754243764729530f, + 0.155828397654265320f, -0.987784141644572180f, 0.155638989553760850f, + -0.987814003206415550f, + 0.155449575730855880f, -0.987843828449161740f, 0.155260156192514380f, + -0.987873617371714200f, + 0.155070730945700510f, -0.987903369972977790f, 0.154881299997379400f, + -0.987933086251858380f, + 0.154691863354515400f, -0.987962766207263420f, 0.154502421024073990f, + -0.987992409838101880f, + 0.154312973013020240f, -0.988022017143283530f, 0.154123519328319360f, + -0.988051588121720110f, + 0.153934059976937460f, -0.988081122772324070f, 0.153744594965840000f, + -0.988110621094009820f, + 0.153555124301993500f, -0.988140083085692570f, 0.153365647992364020f, + -0.988169508746289060f, + 0.153176166043917870f, -0.988198898074717610f, 0.152986678463622160f, + -0.988228251069897420f, + 0.152797185258443410f, -0.988257567730749460f, 0.152607686435349140f, + -0.988286848056195710f, + 0.152418182001306500f, -0.988316092045159690f, 0.152228671963282770f, + -0.988345299696566150f, + 0.152039156328246160f, -0.988374471009341280f, 0.151849635103164180f, + -0.988403605982412390f, + 0.151660108295005400f, -0.988432704614708340f, 0.151470575910737760f, + -0.988461766905159300f, + 0.151281037957330250f, -0.988490792852696590f, 0.151091494441751430f, + -0.988519782456253270f, + 0.150901945370970040f, -0.988548735714763200f, 0.150712390751955720f, + -0.988577652627162020f, + 0.150522830591677370f, -0.988606533192386450f, 0.150333264897105050f, + -0.988635377409374790f, + 0.150143693675208330f, -0.988664185277066230f, 0.149954116932956990f, + -0.988692956794401940f, + 0.149764534677321620f, -0.988721691960323780f, 0.149574946915272210f, + -0.988750390773775360f, + 0.149385353653779810f, -0.988779053233701520f, 0.149195754899814960f, + -0.988807679339048340f, + 0.149006150660348470f, -0.988836269088763540f, 0.148816540942352030f, + -0.988864822481795640f, + 0.148626925752796540f, -0.988893339517095130f, 0.148437305098654050f, + -0.988921820193613190f, + 0.148247678986896200f, -0.988950264510302990f, 0.148058047424494740f, + -0.988978672466118480f, + 0.147868410418422360f, -0.989007044060015270f, 0.147678767975650970f, + -0.989035379290950310f, + 0.147489120103153680f, -0.989063678157881540f, 0.147299466807902820f, + -0.989091940659768800f, + 0.147109808096871850f, -0.989120166795572690f, 0.146920143977033760f, + -0.989148356564255590f, + 0.146730474455361750f, -0.989176509964781010f, 0.146540799538829870f, + -0.989204626996113780f, + 0.146351119234411440f, -0.989232707657220050f, 0.146161433549080950f, + -0.989260751947067640f, + 0.145971742489812370f, -0.989288759864625170f, 0.145782046063579860f, + -0.989316731408863000f, + 0.145592344277358450f, -0.989344666578752640f, 0.145402637138122540f, + -0.989372565373267010f, + 0.145212924652847520f, -0.989400427791380380f, 0.145023206828508360f, + -0.989428253832068230f, + 0.144833483672080240f, -0.989456043494307710f, 0.144643755190539150f, + -0.989483796777076760f, + 0.144454021390860440f, -0.989511513679355190f, 0.144264282280020530f, + -0.989539194200123930f, + 0.144074537864995330f, -0.989566838338365120f, 0.143884788152761010f, + -0.989594446093062460f, + 0.143695033150294580f, -0.989622017463200780f, 0.143505272864572290f, + -0.989649552447766530f, + 0.143315507302571590f, -0.989677051045747210f, 0.143125736471269140f, + -0.989704513256131850f, + 0.142935960377642700f, -0.989731939077910570f, 0.142746179028669620f, + -0.989759328510075200f, + 0.142556392431327340f, -0.989786681551618640f, 0.142366600592594260f, + -0.989813998201535260f, + 0.142176803519448000f, -0.989841278458820530f, 0.141987001218867340f, + -0.989868522322471580f, + 0.141797193697830530f, -0.989895729791486660f, 0.141607380963316020f, + -0.989922900864865450f, + 0.141417563022303130f, -0.989950035541608990f, 0.141227739881770480f, + -0.989977133820719610f, + 0.141037911548697770f, -0.990004195701200910f, 0.140848078030064220f, + -0.990031221182058000f, + 0.140658239332849240f, -0.990058210262297120f, 0.140468395464033110f, + -0.990085162940925970f, + 0.140278546430595420f, -0.990112079216953770f, 0.140088692239516780f, + -0.990138959089390650f, + 0.139898832897777380f, -0.990165802557248400f, 0.139708968412357580f, + -0.990192609619540030f, + 0.139519098790238600f, -0.990219380275280000f, 0.139329224038400980f, + -0.990246114523483990f, + 0.139139344163826280f, -0.990272812363169110f, 0.138949459173495440f, + -0.990299473793353590f, + 0.138759569074390380f, -0.990326098813057330f, 0.138569673873492640f, + -0.990352687421301340f, + 0.138379773577783890f, -0.990379239617108160f, 0.138189868194246640f, + -0.990405755399501260f, + 0.137999957729862760f, -0.990432234767505970f, 0.137810042191615130f, + -0.990458677720148620f, + 0.137620121586486180f, -0.990485084256456980f, 0.137430195921458550f, + -0.990511454375460290f, + 0.137240265203515700f, -0.990537788076188750f, 0.137050329439640380f, + -0.990564085357674370f, + 0.136860388636816430f, -0.990590346218950150f, 0.136670442802027230f, + -0.990616570659050620f, + 0.136480491942256310f, -0.990642758677011570f, 0.136290536064488070f, + -0.990668910271869980f, + 0.136100575175706200f, -0.990695025442664630f, 0.135910609282895440f, + -0.990721104188435180f, + 0.135720638393040080f, -0.990747146508222710f, 0.135530662513124620f, + -0.990773152401069780f, + 0.135340681650134330f, -0.990799121866020370f, 0.135150695811053850f, + -0.990825054902119470f, + 0.134960705002868830f, -0.990850951508413620f, 0.134770709232564290f, + -0.990876811683950810f, + 0.134580708507126220f, -0.990902635427780010f, 0.134390702833540240f, + -0.990928422738951990f, + 0.134200692218792020f, -0.990954173616518500f, 0.134010676669868210f, + -0.990979888059532740f, + 0.133820656193754690f, -0.991005566067049370f, 0.133630630797438390f, + -0.991031207638124130f, + 0.133440600487905820f, -0.991056812771814340f, 0.133250565272143570f, + -0.991082381467178640f, + 0.133060525157139180f, -0.991107913723276780f, 0.132870480149879400f, + -0.991133409539170170f, + 0.132680430257352130f, -0.991158868913921350f, 0.132490375486544710f, + -0.991184291846594180f, + 0.132300315844444680f, -0.991209678336254060f, 0.132110251338040470f, + -0.991235028381967420f, + 0.131920181974319760f, -0.991260341982802440f, 0.131730107760271280f, + -0.991285619137828200f, + 0.131540028702883280f, -0.991310859846115440f, 0.131349944809144220f, + -0.991336064106736140f, + 0.131159856086043410f, -0.991361231918763460f, 0.130969762540569380f, + -0.991386363281272280f, + 0.130779664179711790f, -0.991411458193338540f, 0.130589561010459600f, + -0.991436516654039420f, + 0.130399453039802740f, -0.991461538662453790f, 0.130209340274730770f, + -0.991486524217661480f, + 0.130019222722233350f, -0.991511473318743900f, 0.129829100389301010f, + -0.991536385964783880f, + 0.129638973282923540f, -0.991561262154865290f, 0.129448841410091830f, + -0.991586101888073500f, + 0.129258704777796270f, -0.991610905163495370f, 0.129068563393027410f, + -0.991635671980218740f, + 0.128878417262776660f, -0.991660402337333210f, 0.128688266394034690f, + -0.991685096233929530f, + 0.128498110793793220f, -0.991709753669099530f, 0.128307950469043590f, + -0.991734374641936810f, + 0.128117785426777150f, -0.991758959151536110f, 0.127927615673986190f, + -0.991783507196993490f, + 0.127737441217662280f, -0.991808018777406430f, 0.127547262064798050f, + -0.991832493891873780f, + 0.127357078222385570f, -0.991856932539495360f, 0.127166889697417180f, + -0.991881334719373010f, + 0.126976696496885980f, -0.991905700430609330f, 0.126786498627784430f, + -0.991930029672308480f, + 0.126596296097105960f, -0.991954322443575950f, 0.126406088911843320f, + -0.991978578743518580f, + 0.126215877078990400f, -0.992002798571244520f, 0.126025660605540460f, + -0.992026981925863360f, + 0.125835439498487020f, -0.992051128806485720f, 0.125645213764824380f, + -0.992075239212224070f, + 0.125454983411546210f, -0.992099313142191800f, 0.125264748445647110f, + -0.992123350595503720f, + 0.125074508874121300f, -0.992147351571276090f, 0.124884264703963150f, + -0.992171316068626520f, + 0.124694015942167770f, -0.992195244086673920f, 0.124503762595729650f, + -0.992219135624538450f, + 0.124313504671644300f, -0.992242990681341700f, 0.124123242176906760f, + -0.992266809256206580f, + 0.123932975118512200f, -0.992290591348257370f, 0.123742703503456630f, + -0.992314336956619640f, + 0.123552427338735370f, -0.992338046080420420f, 0.123362146631344750f, + -0.992361718718787870f, + 0.123171861388280650f, -0.992385354870851670f, 0.122981571616539080f, + -0.992408954535742850f, + 0.122791277323116900f, -0.992432517712593550f, 0.122600978515010240f, + -0.992456044400537700f, + 0.122410675199216280f, -0.992479534598709970f, 0.122220367382731500f, + -0.992502988306246950f, + 0.122030055072553410f, -0.992526405522286100f, 0.121839738275679020f, + -0.992549786245966570f, + 0.121649416999105540f, -0.992573130476428810f, 0.121459091249830950f, + -0.992596438212814290f, + 0.121268761034852550f, -0.992619709454266140f, 0.121078426361168710f, + -0.992642944199928820f, + 0.120888087235777220f, -0.992666142448948020f, 0.120697743665676120f, + -0.992689304200470750f, + 0.120507395657864240f, -0.992712429453645460f, 0.120317043219339670f, + -0.992735518207621850f, + 0.120126686357101580f, -0.992758570461551140f, 0.119936325078148620f, + -0.992781586214585570f, + 0.119745959389479630f, -0.992804565465879140f, 0.119555589298094230f, + -0.992827508214586760f, + 0.119365214810991350f, -0.992850414459865100f, 0.119174835935170960f, + -0.992873284200871730f, + 0.118984452677632520f, -0.992896117436765980f, 0.118794065045375670f, + -0.992918914166708300f, + 0.118603673045400840f, -0.992941674389860470f, 0.118413276684707770f, + -0.992964398105385610f, + 0.118222875970297250f, -0.992987085312448390f, 0.118032470909169300f, + -0.993009736010214580f, + 0.117842061508325020f, -0.993032350197851410f, 0.117651647774765000f, + -0.993054927874527320f, + 0.117461229715489990f, -0.993077469039412300f, 0.117270807337501560f, + -0.993099973691677570f, + 0.117080380647800550f, -0.993122441830495580f, 0.116889949653388850f, + -0.993144873455040430f, + 0.116699514361267840f, -0.993167268564487230f, 0.116509074778439050f, + -0.993189627158012620f, + 0.116318630911904880f, -0.993211949234794500f, 0.116128182768666920f, + -0.993234234794012290f, + 0.115937730355727850f, -0.993256483834846440f, 0.115747273680089870f, + -0.993278696356479030f, + 0.115556812748755290f, -0.993300872358093280f, 0.115366347568727250f, + -0.993323011838873950f, + 0.115175878147008180f, -0.993345114798006910f, 0.114985404490601530f, + -0.993367181234679600f, + 0.114794926606510250f, -0.993389211148080650f, 0.114604444501737460f, + -0.993411204537400060f, + 0.114413958183287050f, -0.993433161401829360f, 0.114223467658162260f, + -0.993455081740560960f, + 0.114032972933367300f, -0.993476965552789190f, 0.113842474015905660f, + -0.993498812837709360f, + 0.113651970912781920f, -0.993520623594518090f, 0.113461463631000080f, + -0.993542397822413600f, + 0.113270952177564360f, -0.993564135520595300f, 0.113080436559479720f, + -0.993585836688263950f, + 0.112889916783750470f, -0.993607501324621610f, 0.112699392857381910f, + -0.993629129428871720f, + 0.112508864787378830f, -0.993650721000219120f, 0.112318332580746190f, + -0.993672276037870010f, + 0.112127796244489750f, -0.993693794541031680f, 0.111937255785614560f, + -0.993715276508913230f, + 0.111746711211126660f, -0.993736721940724600f, 0.111556162528031630f, + -0.993758130835677430f, + 0.111365609743335190f, -0.993779503192984580f, 0.111175052864043830f, + -0.993800839011860120f, + 0.110984491897163380f, -0.993822138291519660f, 0.110793926849700630f, + -0.993843401031180180f, + 0.110603357728661910f, -0.993864627230059750f, 0.110412784541053660f, + -0.993885816887378090f, + 0.110222207293883180f, -0.993906970002356060f, 0.110031625994157000f, + -0.993928086574215830f, + 0.109841040648882680f, -0.993949166602181130f, 0.109650451265067080f, + -0.993970210085476920f, + 0.109459857849718030f, -0.993991217023329380f, 0.109269260409842920f, + -0.994012187414966220f, + 0.109078658952449240f, -0.994033121259616400f, 0.108888053484545310f, + -0.994054018556510210f, + 0.108697444013138670f, -0.994074879304879370f, 0.108506830545237980f, + -0.994095703503956930f, + 0.108316213087851300f, -0.994116491152977070f, 0.108125591647986880f, + -0.994137242251175720f, + 0.107934966232653760f, -0.994157956797789730f, 0.107744336848860260f, + -0.994178634792057590f, + 0.107553703503615710f, -0.994199276233218910f, 0.107363066203928920f, + -0.994219881120514850f, + 0.107172424956808870f, -0.994240449453187900f, 0.106981779769265340f, + -0.994260981230481790f, + 0.106791130648307380f, -0.994281476451641550f, 0.106600477600945030f, + -0.994301935115913580f, + 0.106409820634187840f, -0.994322357222545810f, 0.106219159755045520f, + -0.994342742770787270f, + 0.106028494970528530f, -0.994363091759888570f, 0.105837826287646670f, + -0.994383404189101430f, + 0.105647153713410700f, -0.994403680057679100f, 0.105456477254830660f, + -0.994423919364875950f, + 0.105265796918917650f, -0.994444122109948040f, 0.105075112712682180f, + -0.994464288292152390f, + 0.104884424643134970f, -0.994484417910747600f, 0.104693732717287500f, + -0.994504510964993590f, + 0.104503036942150550f, -0.994524567454151740f, 0.104312337324735870f, + -0.994544587377484300f, + 0.104121633872054730f, -0.994564570734255420f, 0.103930926591118540f, + -0.994584517523730340f, + 0.103740215488939480f, -0.994604427745175660f, 0.103549500572529040f, + -0.994624301397859400f, + 0.103358781848899700f, -0.994644138481050710f, 0.103168059325063390f, + -0.994663938994020280f, + 0.102977333008032250f, -0.994683702936040250f, 0.102786602904819150f, + -0.994703430306383860f, + 0.102595869022436280f, -0.994723121104325700f, 0.102405131367896790f, + -0.994742775329142010f, + 0.102214389948213370f, -0.994762392980109930f, 0.102023644770398800f, + -0.994781974056508260f, + 0.101832895841466670f, -0.994801518557617110f, 0.101642143168429830f, + -0.994821026482717860f, + 0.101451386758302160f, -0.994840497831093180f, 0.101260626618096800f, + -0.994859932602027320f, + 0.101069862754827880f, -0.994879330794805620f, 0.100879095175509010f, + -0.994898692408714870f, + 0.100688323887153970f, -0.994918017443043200f, 0.100497548896777310f, + -0.994937305897080070f, + 0.100306770211392820f, -0.994956557770116380f, 0.100115987838015370f, + -0.994975773061444140f, + 0.099925201783659226f, -0.994994951770357020f, 0.099734412055338839f, + -0.995014093896149700f, + 0.099543618660069444f, -0.995033199438118630f, 0.099352821604865513f, + -0.995052268395561160f, + 0.099162020896742573f, -0.995071300767776170f, 0.098971216542715582f, + -0.995090296554063890f, + 0.098780408549799664f, -0.995109255753726110f, 0.098589596925010708f, + -0.995128178366065490f, + 0.098398781675363881f, -0.995147064390386470f, 0.098207962807875346f, + -0.995165913825994620f, + 0.098017140329560770f, -0.995184726672196820f, 0.097826314247435903f, + -0.995203502928301510f, + 0.097635484568517339f, -0.995222242593618240f, 0.097444651299820870f, + -0.995240945667458130f, + 0.097253814448363354f, -0.995259612149133390f, 0.097062974021160875f, + -0.995278242037957670f, + 0.096872130025230527f, -0.995296835333246090f, 0.096681282467588864f, + -0.995315392034315070f, + 0.096490431355252607f, -0.995333912140482280f, 0.096299576695239225f, + -0.995352395651066810f, + 0.096108718494565468f, -0.995370842565388990f, 0.095917856760249096f, + -0.995389252882770690f, + 0.095726991499307315f, -0.995407626602534900f, 0.095536122718757485f, + -0.995425963724006160f, + 0.095345250425617742f, -0.995444264246510340f, 0.095154374626905472f, + -0.995462528169374420f, + 0.094963495329639061f, -0.995480755491926940f, 0.094772612540836410f, + -0.995498946213497770f, + 0.094581726267515473f, -0.995517100333418110f, 0.094390836516695067f, + -0.995535217851020390f, + 0.094199943295393190f, -0.995553298765638470f, 0.094009046610628907f, + -0.995571343076607770f, + 0.093818146469420494f, -0.995589350783264600f, 0.093627242878787237f, + -0.995607321884947050f, + 0.093436335845747912f, -0.995625256380994310f, 0.093245425377321389f, + -0.995643154270746900f, + 0.093054511480527333f, -0.995661015553546910f, 0.092863594162384697f, + -0.995678840228737540f, + 0.092672673429913366f, -0.995696628295663520f, 0.092481749290132753f, + -0.995714379753670610f, + 0.092290821750062355f, -0.995732094602106430f, 0.092099890816722485f, + -0.995749772840319400f, + 0.091908956497132696f, -0.995767414467659820f, 0.091718018798313525f, + -0.995785019483478750f, + 0.091527077727284981f, -0.995802587887129160f, 0.091336133291067212f, + -0.995820119677964910f, + 0.091145185496681130f, -0.995837614855341610f, 0.090954234351146898f, + -0.995855073418615790f, + 0.090763279861485704f, -0.995872495367145730f, 0.090572322034718156f, + -0.995889880700290720f, + 0.090381360877865011f, -0.995907229417411720f, 0.090190396397947820f, + -0.995924541517870690f, + 0.089999428601987341f, -0.995941817001031350f, 0.089808457497005362f, + -0.995959055866258320f, + 0.089617483090022917f, -0.995976258112917790f, 0.089426505388062016f, + -0.995993423740377360f, + 0.089235524398144139f, -0.996010552748005870f, 0.089044540127290905f, + -0.996027645135173610f, + 0.088853552582524684f, -0.996044700901251970f, 0.088662561770867121f, + -0.996061720045614000f, + 0.088471567699340822f, -0.996078702567633980f, 0.088280570374967879f, + -0.996095648466687300f, + 0.088089569804770507f, -0.996112557742151130f, 0.087898565995771685f, + -0.996129430393403740f, + 0.087707558954993645f, -0.996146266419824620f, 0.087516548689459586f, + -0.996163065820794950f, + 0.087325535206192226f, -0.996179828595696870f, 0.087134518512214321f, + -0.996196554743914220f, + 0.086943498614549489f, -0.996213244264832040f, 0.086752475520220515f, + -0.996229897157836500f, + 0.086561449236251239f, -0.996246513422315520f, 0.086370419769664919f, + -0.996263093057658030f, + 0.086179387127484922f, -0.996279636063254650f, 0.085988351316735448f, + -0.996296142438496850f, + 0.085797312344439880f, -0.996312612182778000f, 0.085606270217622613f, + -0.996329045295492380f, + 0.085415224943307277f, -0.996345441776035900f, 0.085224176528518519f, + -0.996361801623805720f, + 0.085033124980280414f, -0.996378124838200210f, 0.084842070305617148f, + -0.996394411418619290f, + 0.084651012511553700f, -0.996410661364464100f, 0.084459951605114297f, + -0.996426874675137240f, + 0.084268887593324127f, -0.996443051350042630f, 0.084077820483207846f, + -0.996459191388585410f, + 0.083886750281790226f, -0.996475294790172160f, 0.083695676996096827f, + -0.996491361554210920f, + 0.083504600633152404f, -0.996507391680110820f, 0.083313521199982740f, + -0.996523385167282450f, + 0.083122438703613077f, -0.996539342015137940f, 0.082931353151068726f, + -0.996555262223090540f, + 0.082740264549375803f, -0.996571145790554840f, 0.082549172905559659f, + -0.996586992716946950f, + 0.082358078226646619f, -0.996602803001684130f, 0.082166980519662466f, + -0.996618576644185070f, + 0.081975879791633108f, -0.996634313643869900f, 0.081784776049585201f, + -0.996650014000160070f, + 0.081593669300544638f, -0.996665677712478160f, 0.081402559551538328f, + -0.996681304780248300f, + 0.081211446809592386f, -0.996696895202896060f, 0.081020331081733912f, + -0.996712448979848010f, + 0.080829212374989468f, -0.996727966110532490f, 0.080638090696385709f, + -0.996743446594378860f, + 0.080446966052950097f, -0.996758890430818000f, 0.080255838451709291f, + -0.996774297619282050f, + 0.080064707899690932f, -0.996789668159204560f, 0.079873574403922148f, + -0.996805002050020320f, + 0.079682437971430126f, -0.996820299291165670f, 0.079491298609242866f, + -0.996835559882078170f, + 0.079300156324387569f, -0.996850783822196610f, 0.079109011123892431f, + -0.996865971110961310f, + 0.078917863014785095f, -0.996881121747813850f, 0.078726712004093313f, + -0.996896235732197210f, + 0.078535558098845590f, -0.996911313063555740f, 0.078344401306069678f, + -0.996926353741335090f, + 0.078153241632794315f, -0.996941357764982160f, 0.077962079086047645f, + -0.996956325133945280f, + 0.077770913672857989f, -0.996971255847674320f, 0.077579745400254363f, + -0.996986149905620180f, + 0.077388574275265049f, -0.997001007307235290f, 0.077197400304919297f, + -0.997015828051973310f, + 0.077006223496245585f, -0.997030612139289450f, 0.076815043856273399f, + -0.997045359568640040f, + 0.076623861392031617f, -0.997060070339482960f, 0.076432676110549283f, + -0.997074744451277310f, + 0.076241488018856149f, -0.997089381903483400f, 0.076050297123981231f, + -0.997103982695563330f, + 0.075859103432954503f, -0.997118546826979980f, 0.075667906952805383f, + -0.997133074297198110f, + 0.075476707690563416f, -0.997147565105683480f, 0.075285505653258880f, + -0.997162019251903290f, + 0.075094300847921291f, -0.997176436735326190f, 0.074903093281581137f, + -0.997190817555421940f, + 0.074711882961268378f, -0.997205161711661850f, 0.074520669894013014f, + -0.997219469203518670f, + 0.074329454086845867f, -0.997233740030466160f, 0.074138235546796952f, + -0.997247974191979860f, + 0.073947014280897269f, -0.997262171687536170f, 0.073755790296177265f, + -0.997276332516613180f, + 0.073564563599667454f, -0.997290456678690210f, 0.073373334198399157f, + -0.997304544173247990f, + 0.073182102099402888f, -0.997318594999768600f, 0.072990867309710133f, + -0.997332609157735470f, + 0.072799629836351618f, -0.997346586646633230f, 0.072608389686359048f, + -0.997360527465947940f, + 0.072417146866763538f, -0.997374431615167030f, 0.072225901384596336f, + -0.997388299093779460f, + 0.072034653246889416f, -0.997402129901275300f, 0.071843402460674000f, + -0.997415924037145960f, + 0.071652149032982254f, -0.997429681500884180f, 0.071460892970845832f, + -0.997443402291984360f, + 0.071269634281296415f, -0.997457086409941910f, 0.071078372971366502f, + -0.997470733854253670f, + 0.070887109048087787f, -0.997484344624417930f, 0.070695842518492924f, + -0.997497918719934210f, + 0.070504573389614009f, -0.997511456140303450f, 0.070313301668483263f, + -0.997524956885027960f, + 0.070122027362133646f, -0.997538420953611230f, 0.069930750477597295f, + -0.997551848345558430f, + 0.069739471021907376f, -0.997565239060375750f, 0.069548189002096472f, + -0.997578593097570800f, + 0.069356904425197236f, -0.997591910456652630f, 0.069165617298243109f, + -0.997605191137131640f, + 0.068974327628266732f, -0.997618435138519550f, 0.068783035422301728f, + -0.997631642460329320f, + 0.068591740687380900f, -0.997644813102075420f, 0.068400443430538069f, + -0.997657947063273710f, + 0.068209143658806454f, -0.997671044343441000f, 0.068017841379219388f, + -0.997684104942096030f, + 0.067826536598810966f, -0.997697128858758500f, 0.067635229324614451f, + -0.997710116092949570f, + 0.067443919563664106f, -0.997723066644191640f, 0.067252607322993652f, + -0.997735980512008620f, + 0.067061292609636836f, -0.997748857695925690f, 0.066869975430628226f, + -0.997761698195469560f, + 0.066678655793001543f, -0.997774502010167820f, 0.066487333703791507f, + -0.997787269139549960f, + 0.066296009170032283f, -0.997799999583146470f, 0.066104682198758091f, + -0.997812693340489280f, + 0.065913352797003930f, -0.997825350411111640f, 0.065722020971803977f, + -0.997837970794548280f, + 0.065530686730193397f, -0.997850554490335110f, 0.065339350079206798f, + -0.997863101498009500f, + 0.065148011025878860f, -0.997875611817110150f, 0.064956669577245010f, + -0.997888085447177110f, + 0.064765325740339871f, -0.997900522387751620f, 0.064573979522199065f, + -0.997912922638376610f, + 0.064382630929857410f, -0.997925286198596000f, 0.064191279970350679f, + -0.997937613067955250f, + 0.063999926650714078f, -0.997949903246001190f, 0.063808570977982898f, + -0.997962156732281950f, + 0.063617212959193190f, -0.997974373526346990f, 0.063425852601380200f, + -0.997986553627747020f, + 0.063234489911580136f, -0.997998697036034390f, 0.063043124896828631f, + -0.998010803750762450f, + 0.062851757564161420f, -0.998022873771486240f, 0.062660387920614985f, + -0.998034907097761770f, + 0.062469015973224969f, -0.998046903729146840f, 0.062277641729028041f, + -0.998058863665200250f, + 0.062086265195060247f, -0.998070786905482340f, 0.061894886378357744f, + -0.998082673449554590f, + 0.061703505285957416f, -0.998094523296980010f, 0.061512121924895365f, + -0.998106336447323050f, + 0.061320736302208648f, -0.998118112900149180f, 0.061129348424933755f, + -0.998129852655025520f, + 0.060937958300107238f, -0.998141555711520520f, 0.060746565934766412f, + -0.998153222069203650f, + 0.060555171335947781f, -0.998164851727646240f, 0.060363774510688827f, + -0.998176444686420530f, + 0.060172375466026218f, -0.998188000945100300f, 0.059980974208997596f, + -0.998199520503260660f, + 0.059789570746640007f, -0.998211003360478190f, 0.059598165085990598f, + -0.998222449516330550f, + 0.059406757234087247f, -0.998233858970396850f, 0.059215347197967026f, + -0.998245231722257880f, + 0.059023934984667986f, -0.998256567771495180f, 0.058832520601227581f, + -0.998267867117692110f, + 0.058641104054683348f, -0.998279129760433200f, 0.058449685352073573f, + -0.998290355699304350f, + 0.058258264500435732f, -0.998301544933892890f, 0.058066841506808263f, + -0.998312697463787260f, + 0.057875416378229017f, -0.998323813288577560f, 0.057683989121735932f, + -0.998334892407855000f, + 0.057492559744367684f, -0.998345934821212370f, 0.057301128253162144f, + -0.998356940528243420f, + 0.057109694655158132f, -0.998367909528543820f, 0.056918258957393907f, + -0.998378841821709990f, + 0.056726821166907783f, -0.998389737407340160f, 0.056535381290738825f, + -0.998400596285033640f, + 0.056343939335925283f, -0.998411418454391300f, 0.056152495309506383f, + -0.998422203915015020f, + 0.055961049218520520f, -0.998432952666508440f, 0.055769601070007072f, + -0.998443664708476340f, + 0.055578150871004817f, -0.998454340040524800f, 0.055386698628552604f, + -0.998464978662261250f, + 0.055195244349690031f, -0.998475580573294770f, 0.055003788041455885f, + -0.998486145773235360f, + 0.054812329710889909f, -0.998496674261694640f, 0.054620869365031251f, + -0.998507166038285490f, + 0.054429407010919147f, -0.998517621102622210f, 0.054237942655593556f, + -0.998528039454320230f, + 0.054046476306093640f, -0.998538421092996730f, 0.053855007969459509f, + -0.998548766018269920f, + 0.053663537652730679f, -0.998559074229759310f, 0.053472065362946755f, + -0.998569345727086110f, + 0.053280591107148056f, -0.998579580509872500f, 0.053089114892374119f, + -0.998589778577742230f, + 0.052897636725665401f, -0.998599939930320370f, 0.052706156614061798f, + -0.998610064567233340f, + 0.052514674564603257f, -0.998620152488108870f, 0.052323190584330471f, + -0.998630203692576050f, + 0.052131704680283317f, -0.998640218180265270f, 0.051940216859502626f, + -0.998650195950808280f, + 0.051748727129028414f, -0.998660137003838490f, 0.051557235495901653f, + -0.998670041338990070f, + 0.051365741967162731f, -0.998679908955899090f, 0.051174246549852087f, + -0.998689739854202620f, + 0.050982749251010900f, -0.998699534033539280f, 0.050791250077679546f, + -0.998709291493549030f, + 0.050599749036899337f, -0.998719012233872940f, 0.050408246135710995f, + -0.998728696254153720f, + 0.050216741381155325f, -0.998738343554035230f, 0.050025234780273840f, + -0.998747954133162860f, + 0.049833726340107257f, -0.998757527991183340f, 0.049642216067697226f, + -0.998767065127744380f, + 0.049450703970084824f, -0.998776565542495610f, 0.049259190054311168f, + -0.998786029235087640f, + 0.049067674327418126f, -0.998795456205172410f, 0.048876156796446746f, + -0.998804846452403420f, + 0.048684637468439020f, -0.998814199976435390f, 0.048493116350436342f, + -0.998823516776924380f, + 0.048301593449480172f, -0.998832796853527990f, 0.048110068772612716f, + -0.998842040205904840f, + 0.047918542326875327f, -0.998851246833715180f, 0.047727014119310344f, + -0.998860416736620520f, + 0.047535484156959261f, -0.998869549914283560f, 0.047343952446864526f, + -0.998878646366368690f, + 0.047152418996068000f, -0.998887706092541290f, 0.046960883811611599f, + -0.998896729092468410f, + 0.046769346900537960f, -0.998905715365818290f, 0.046577808269888908f, + -0.998914664912260440f, + 0.046386267926707213f, -0.998923577731465780f, 0.046194725878035046f, + -0.998932453823106690f, + 0.046003182130914644f, -0.998941293186856870f, 0.045811636692388955f, + -0.998950095822391250f, + 0.045620089569500123f, -0.998958861729386080f, 0.045428540769291224f, + -0.998967590907519300f, + 0.045236990298804750f, -0.998976283356469820f, 0.045045438165083225f, + -0.998984939075918010f, + 0.044853884375169933f, -0.998993558065545680f, 0.044662328936107311f, + -0.999002140325035980f, + 0.044470771854938744f, -0.999010685854073380f, 0.044279213138707016f, + -0.999019194652343460f, + 0.044087652794454979f, -0.999027666719533690f, 0.043896090829226200f, + -0.999036102055332330f, + 0.043704527250063421f, -0.999044500659429290f, 0.043512962064010327f, + -0.999052862531515930f, + 0.043321395278109784f, -0.999061187671284600f, 0.043129826899405595f, + -0.999069476078429330f, + 0.042938256934940959f, -0.999077727752645360f, 0.042746685391759139f, + -0.999085942693629270f, + 0.042555112276904117f, -0.999094120901079070f, 0.042363537597419038f, + -0.999102262374694130f, + 0.042171961360348002f, -0.999110367114174890f, 0.041980383572734502f, + -0.999118435119223490f, + 0.041788804241622082f, -0.999126466389543390f, 0.041597223374055005f, + -0.999134460924839150f, + 0.041405640977076712f, -0.999142418724816910f, 0.041214057057731589f, + -0.999150339789184110f, + 0.041022471623063397f, -0.999158224117649430f, 0.040830884680115968f, + -0.999166071709923000f, + 0.040639296235933854f, -0.999173882565716380f, 0.040447706297560768f, + -0.999181656684742350f, + 0.040256114872041358f, -0.999189394066714920f, 0.040064521966419686f, + -0.999197094711349880f, + 0.039872927587739845f, -0.999204758618363890f, 0.039681331743046659f, + -0.999212385787475290f, + 0.039489734439384118f, -0.999219976218403530f, 0.039298135683797149f, + -0.999227529910869610f, + 0.039106535483329839f, -0.999235046864595850f, 0.038914933845027241f, + -0.999242527079305830f, + 0.038723330775933762f, -0.999249970554724420f, 0.038531726283093877f, + -0.999257377290578060f, + 0.038340120373552791f, -0.999264747286594420f, 0.038148513054354856f, + -0.999272080542502610f, + 0.037956904332545366f, -0.999279377058032710f, 0.037765294215169005f, + -0.999286636832916740f, + 0.037573682709270514f, -0.999293859866887790f, 0.037382069821895340f, + -0.999301046159680070f, + 0.037190455560088091f, -0.999308195711029470f, 0.036998839930894332f, + -0.999315308520673070f, + 0.036807222941358991f, -0.999322384588349540f, 0.036615604598527057f, + -0.999329423913798420f, + 0.036423984909444228f, -0.999336426496761240f, 0.036232363881155374f, + -0.999343392336980220f, + 0.036040741520706299f, -0.999350321434199440f, 0.035849117835142184f, + -0.999357213788164000f, + 0.035657492831508264f, -0.999364069398620550f, 0.035465866516850478f, + -0.999370888265317060f, + 0.035274238898213947f, -0.999377670388002850f, 0.035082609982644702f, + -0.999384415766428560f, + 0.034890979777187955f, -0.999391124400346050f, 0.034699348288889847f, + -0.999397796289508640f, + 0.034507715524795889f, -0.999404431433671300f, 0.034316081491951658f, + -0.999411029832589780f, + 0.034124446197403423f, -0.999417591486021720f, 0.033932809648196623f, + -0.999424116393725640f, + 0.033741171851377642f, -0.999430604555461730f, 0.033549532813992221f, + -0.999437055970991530f, + 0.033357892543086159f, -0.999443470640077770f, 0.033166251045705968f, + -0.999449848562484530f, + 0.032974608328897315f, -0.999456189737977340f, 0.032782964399706793f, + -0.999462494166323160f, + 0.032591319265180385f, -0.999468761847290050f, 0.032399672932364114f, + -0.999474992780647780f, + 0.032208025408304704f, -0.999481186966166950f, 0.032016376700048046f, + -0.999487344403620080f, + 0.031824726814640963f, -0.999493465092780590f, 0.031633075759129645f, + -0.999499549033423640f, + 0.031441423540560343f, -0.999505596225325310f, 0.031249770165979990f, + -0.999511606668263440f, + 0.031058115642434700f, -0.999517580362016990f, 0.030866459976971503f, + -0.999523517306366350f, + 0.030674803176636581f, -0.999529417501093140f, 0.030483145248477058f, + -0.999535280945980540f, + 0.030291486199539423f, -0.999541107640812940f, 0.030099826036870208f, + -0.999546897585375960f, + 0.029908164767516655f, -0.999552650779456990f, 0.029716502398525156f, + -0.999558367222844300f, + 0.029524838936943035f, -0.999564046915327740f, 0.029333174389816984f, + -0.999569689856698580f, + 0.029141508764193740f, -0.999575296046749220f, 0.028949842067120746f, + -0.999580865485273700f, + 0.028758174305644590f, -0.999586398172067070f, 0.028566505486812797f, + -0.999591894106925950f, + 0.028374835617672258f, -0.999597353289648380f, 0.028183164705269902f, + -0.999602775720033530f, + 0.027991492756653365f, -0.999608161397882110f, 0.027799819778869434f, + -0.999613510322995950f, + 0.027608145778965820f, -0.999618822495178640f, 0.027416470763989606f, + -0.999624097914234570f, + 0.027224794740987910f, -0.999629336579970110f, 0.027033117717008563f, + -0.999634538492192300f, + 0.026841439699098527f, -0.999639703650710200f, 0.026649760694305708f, + -0.999644832055333610f, + 0.026458080709677145f, -0.999649923705874240f, 0.026266399752260809f, + -0.999654978602144690f, + 0.026074717829104040f, -0.999659996743959220f, 0.025883034947254208f, + -0.999664978131133310f, + 0.025691351113759395f, -0.999669922763483760f, 0.025499666335666818f, + -0.999674830640828740f, + 0.025307980620024630f, -0.999679701762987930f, 0.025116293973880335f, + -0.999684536129782140f, + 0.024924606404281485f, -0.999689333741033640f, 0.024732917918276334f, + -0.999694094596566000f, + 0.024541228522912264f, -0.999698818696204250f, 0.024349538225237600f, + -0.999703506039774650f, + 0.024157847032300020f, -0.999708156627104880f, 0.023966154951147241f, + -0.999712770458023870f, + 0.023774461988827676f, -0.999717347532362190f, 0.023582768152388880f, + -0.999721887849951310f, + 0.023391073448879338f, -0.999726391410624470f, 0.023199377885346890f, + -0.999730858214216030f, + 0.023007681468839410f, -0.999735288260561680f, 0.022815984206405477f, + -0.999739681549498660f, + 0.022624286105092803f, -0.999744038080865430f, 0.022432587171950024f, + -0.999748357854501780f, + 0.022240887414024919f, -0.999752640870248840f, 0.022049186838366180f, + -0.999756887127949080f, + 0.021857485452021874f, -0.999761096627446610f, 0.021665783262040089f, + -0.999765269368586450f, + 0.021474080275469605f, -0.999769405351215280f, 0.021282376499358355f, + -0.999773504575180990f, + 0.021090671940755180f, -0.999777567040332940f, 0.020898966606708289f, + -0.999781592746521670f, + 0.020707260504265912f, -0.999785581693599210f, 0.020515553640476986f, + -0.999789533881418780f, + 0.020323846022389572f, -0.999793449309835270f, 0.020132137657052664f, + -0.999797327978704690f, + 0.019940428551514598f, -0.999801169887884260f, 0.019748718712823757f, + -0.999804975037232870f, + 0.019557008148029204f, -0.999808743426610520f, 0.019365296864179146f, + -0.999812475055878780f, + 0.019173584868322699f, -0.999816169924900410f, 0.018981872167508348f, + -0.999819828033539420f, + 0.018790158768784596f, -0.999823449381661570f, 0.018598444679200642f, + -0.999827033969133420f, + 0.018406729905804820f, -0.999830581795823400f, 0.018215014455646376f, + -0.999834092861600960f, + 0.018023298335773701f, -0.999837567166337090f, 0.017831581553236088f, + -0.999841004709904000f, + 0.017639864115082195f, -0.999844405492175240f, 0.017448146028360704f, + -0.999847769513025900f, + 0.017256427300120978f, -0.999851096772332190f, 0.017064707937411529f, + -0.999854387269971890f, + 0.016872987947281773f, -0.999857641005823860f, 0.016681267336780482f, + -0.999860857979768540f, + 0.016489546112956454f, -0.999864038191687680f, 0.016297824282859176f, + -0.999867181641464380f, + 0.016106101853537263f, -0.999870288328982950f, 0.015914378832040249f, + -0.999873358254129260f, + 0.015722655225417017f, -0.999876391416790410f, 0.015530931040716478f, + -0.999879387816854930f, + 0.015339206284988220f, -0.999882347454212560f, 0.015147480965280975f, + -0.999885270328754520f, + 0.014955755088644378f, -0.999888156440373320f, 0.014764028662127416f, + -0.999891005788962950f, + 0.014572301692779104f, -0.999893818374418490f, 0.014380574187649138f, + -0.999896594196636680f, + 0.014188846153786343f, -0.999899333255515390f, 0.013997117598240459f, + -0.999902035550953920f, + 0.013805388528060349f, -0.999904701082852900f, 0.013613658950295789f, + -0.999907329851114300f, + 0.013421928871995907f, -0.999909921855641540f, 0.013230198300209845f, + -0.999912477096339240f, + 0.013038467241987433f, -0.999914995573113470f, 0.012846735704377631f, + -0.999917477285871770f, + 0.012655003694430301f, -0.999919922234522750f, 0.012463271219194662f, + -0.999922330418976490f, + 0.012271538285719944f, -0.999924701839144500f, 0.012079804901056066f, + -0.999927036494939640f, + 0.011888071072252072f, -0.999929334386276070f, 0.011696336806357907f, + -0.999931595513069200f, + 0.011504602110422875f, -0.999933819875236000f, 0.011312866991496287f, + -0.999936007472694620f, + 0.011121131456628141f, -0.999938158305364590f, 0.010929395512867561f, + -0.999940272373166960f, + 0.010737659167264572f, -0.999942349676023910f, 0.010545922426868548f, + -0.999944390213859060f, + 0.010354185298728884f, -0.999946393986597460f, 0.010162447789895645f, + -0.999948360994165400f, + 0.009970709907418029f, -0.999950291236490480f, 0.009778971658346134f, + -0.999952184713501780f, + 0.009587233049729183f, -0.999954041425129780f, 0.009395494088617302f, + -0.999955861371306100f, + 0.009203754782059960f, -0.999957644551963900f, 0.009012015137106642f, + -0.999959390967037450f, + 0.008820275160807512f, -0.999961100616462820f, 0.008628534860211857f, + -0.999962773500176930f, + 0.008436794242369860f, -0.999964409618118280f, 0.008245053314331058f, + -0.999966008970226920f, + 0.008053312083144991f, -0.999967571556443780f, 0.007861570555861883f, + -0.999969097376711580f, + 0.007669828739531077f, -0.999970586430974140f, 0.007478086641202815f, + -0.999972038719176730f, + 0.007286344267926684f, -0.999973454241265940f, 0.007094601626752279f, + -0.999974832997189810f, + 0.006902858724729877f, -0.999976174986897610f, 0.006711115568908869f, + -0.999977480210339940f, + 0.006519372166339549f, -0.999978748667468830f, 0.006327628524071549f, + -0.999979980358237650f, + 0.006135884649154515f, -0.999981175282601110f, 0.005944140548638765f, + -0.999982333440515350f, + 0.005752396229573737f, -0.999983454831937730f, 0.005560651699009764f, + -0.999984539456826970f, + 0.005368906963996303f, -0.999985587315143200f, 0.005177162031583702f, + -0.999986598406848000f, + 0.004985416908821652f, -0.999987572731904080f, 0.004793671602759852f, + -0.999988510290275690f, + 0.004601926120448672f, -0.999989411081928400f, 0.004410180468937601f, + -0.999990275106828920f, + 0.004218434655277024f, -0.999991102364945590f, 0.004026688686516664f, + -0.999991892856248010f, + 0.003834942569706248f, -0.999992646580707190f, 0.003643196311896179f, + -0.999993363538295150f, + 0.003451449920135975f, -0.999994043728985820f, 0.003259703401476044f, + -0.999994687152754080f, + 0.003067956762966138f, -0.999995293809576190f, 0.002876210011656010f, + -0.999995863699429940f, + 0.002684463154596083f, -0.999996396822294350f, 0.002492716198835898f, + -0.999996893178149880f, + 0.002300969151425887f, -0.999997352766978210f, 0.002109222019415816f, + -0.999997775588762350f, + 0.001917474809855460f, -0.999998161643486980f, 0.001725727529795258f, + -0.999998510931137790f, + 0.001533980186284766f, -0.999998823451701880f, 0.001342232786374430f, + -0.999999099205167830f, + 0.001150485337113809f, -0.999999338191525530f, 0.000958737845553352f, + -0.999999540410766110f, + 0.000766990318742846f, -0.999999705862882230f, 0.000575242763732077f, + -0.999999834547867670f, + 0.000383495187571497f, -0.999999926465717890f, 0.000191747597310674f, + -0.999999981616429330f +}; + +/** +* \par +* cosFactor tables are generated using the formula :
cos_factors[n] = 2 * cos((2n+1)*pi/(4*N))
+* \par +* C command to generate the table +* \par +*
 for(i = 0; i< N; i++)
+* {
+*    cos_factors[i]= 2 * cos((2*i+1)*c/2);
+* } 
+* \par +* where N is the number of factors to generate and c is pi/(2*N) +*/ +static const float32_t cos_factors_128[128] = { + 0.999981175282601110f, 0.999830581795823400f, 0.999529417501093140f, + 0.999077727752645360f, + 0.998475580573294770f, 0.997723066644191640f, 0.996820299291165670f, + 0.995767414467659820f, + 0.994564570734255420f, 0.993211949234794500f, 0.991709753669099530f, + 0.990058210262297120f, + 0.988257567730749460f, 0.986308097244598670f, 0.984210092386929030f, + 0.981963869109555240f, + 0.979569765685440520f, 0.977028142657754390f, 0.974339382785575860f, + 0.971503890986251780f, + 0.968522094274417380f, 0.965394441697689400f, 0.962121404269041580f, + 0.958703474895871600f, + 0.955141168305770780f, 0.951435020969008340f, 0.947585591017741090f, + 0.943593458161960390f, + 0.939459223602189920f, 0.935183509938947610f, 0.930766961078983710f, + 0.926210242138311380f, + 0.921514039342042010f, 0.916679059921042700f, 0.911706032005429880f, + 0.906595704514915330f, + 0.901348847046022030f, 0.895966249756185220f, 0.890448723244757880f, + 0.884797098430937790f, + 0.879012226428633530f, 0.873094978418290090f, 0.867046245515692650f, + 0.860866938637767310f, + 0.854557988365400530f, 0.848120344803297230f, 0.841554977436898440f, + 0.834862874986380010f, + 0.828045045257755800f, 0.821102514991104650f, 0.814036329705948410f, + 0.806847553543799330f, + 0.799537269107905010f, 0.792106577300212390f, 0.784556597155575240f, + 0.776888465673232440f, + 0.769103337645579700f, 0.761202385484261780f, 0.753186799043612520f, + 0.745057785441466060f, + 0.736816568877369900f, 0.728464390448225200f, 0.720002507961381650f, + 0.711432195745216430f, + 0.702754744457225300f, 0.693971460889654000f, 0.685083667772700360f, + 0.676092703575316030f, + 0.666999922303637470f, 0.657806693297078640f, 0.648514401022112550f, + 0.639124444863775730f, + 0.629638238914927100f, 0.620057211763289210f, 0.610382806276309480f, + 0.600616479383868970f, + 0.590759701858874280f, 0.580813958095764530f, 0.570780745886967370f, + 0.560661576197336030f, + 0.550457972936604810f, 0.540171472729892970f, 0.529803624686294830f, + 0.519355990165589530f, + 0.508830142543106990f, 0.498227666972781870f, 0.487550160148436050f, + 0.476799230063322250f, + 0.465976495767966130f, 0.455083587126343840f, 0.444122144570429260f, + 0.433093818853152010f, + 0.422000270799799790f, 0.410843171057903910f, 0.399624199845646790f, + 0.388345046698826300f, + 0.377007410216418310f, 0.365612997804773960f, 0.354163525420490510f, + 0.342660717311994380f, + 0.331106305759876430f, 0.319502030816015750f, 0.307849640041534980f, + 0.296150888243623960f, + 0.284407537211271820f, 0.272621355449948980f, 0.260794117915275570f, + 0.248927605745720260f, + 0.237023605994367340f, 0.225083911359792780f, 0.213110319916091360f, + 0.201104634842091960f, + 0.189068664149806280f, 0.177004220412148860f, 0.164913120489970090f, + 0.152797185258443410f, + 0.140658239332849240f, 0.128498110793793220f, 0.116318630911904880f, + 0.104121633872054730f, + 0.091908956497132696f, 0.079682437971430126f, 0.067443919563664106f, + 0.055195244349690031f, + 0.042938256934940959f, 0.030674803176636581f, 0.018406729905804820f, + 0.006135884649154515f +}; + +static const float32_t cos_factors_512[512] = { + 0.999998823451701880f, 0.999989411081928400f, 0.999970586430974140f, + 0.999942349676023910f, + 0.999904701082852900f, 0.999857641005823860f, 0.999801169887884260f, + 0.999735288260561680f, + 0.999659996743959220f, 0.999575296046749220f, 0.999481186966166950f, + 0.999377670388002850f, + 0.999264747286594420f, 0.999142418724816910f, 0.999010685854073380f, + 0.998869549914283560f, + 0.998719012233872940f, 0.998559074229759310f, 0.998389737407340160f, + 0.998211003360478190f, + 0.998022873771486240f, 0.997825350411111640f, 0.997618435138519550f, + 0.997402129901275300f, + 0.997176436735326190f, 0.996941357764982160f, 0.996696895202896060f, + 0.996443051350042630f, + 0.996179828595696980f, 0.995907229417411720f, 0.995625256380994310f, + 0.995333912140482280f, + 0.995033199438118630f, 0.994723121104325700f, 0.994403680057679100f, + 0.994074879304879370f, + 0.993736721940724600f, 0.993389211148080650f, 0.993032350197851410f, + 0.992666142448948020f, + 0.992290591348257370f, 0.991905700430609330f, 0.991511473318743900f, + 0.991107913723276890f, + 0.990695025442664630f, 0.990272812363169110f, 0.989841278458820530f, + 0.989400427791380380f, + 0.988950264510302990f, 0.988490792852696590f, 0.988022017143283530f, + 0.987543941794359230f, + 0.987056571305750970f, 0.986559910264775410f, 0.986053963346195440f, + 0.985538735312176060f, + 0.985014231012239840f, 0.984480455383220930f, 0.983937413449218920f, + 0.983385110321551180f, + 0.982823551198705240f, 0.982252741366289370f, 0.981672686196983110f, + 0.981083391150486710f, + 0.980484861773469380f, 0.979877103699517640f, 0.979260122649082020f, + 0.978633924429423210f, + 0.977998514934557140f, 0.977353900145199960f, 0.976700086128711840f, + 0.976037079039039020f, + 0.975364885116656980f, 0.974683510688510670f, 0.973992962167955830f, + 0.973293246054698250f, + 0.972584368934732210f, 0.971866337480279400f, 0.971139158449725090f, + 0.970402838687555500f, + 0.969657385124292450f, 0.968902804776428870f, 0.968139104746362440f, + 0.967366292222328510f, + 0.966584374478333120f, 0.965793358874083680f, 0.964993252854920320f, + 0.964184063951745830f, + 0.963365799780954050f, 0.962538468044359160f, 0.961702076529122540f, + 0.960856633107679660f, + 0.960002145737665960f, 0.959138622461841890f, 0.958266071408017670f, + 0.957384500788975860f, + 0.956493918902395100f, 0.955594334130771110f, 0.954685754941338340f, + 0.953768189885990330f, + 0.952841647601198720f, 0.951906136807932350f, 0.950961666311575080f, + 0.950008245001843000f, + 0.949045881852700560f, 0.948074585922276230f, 0.947094366352777220f, + 0.946105232370403450f, + 0.945107193285260610f, 0.944100258491272660f, 0.943084437466093490f, + 0.942059739771017310f, + 0.941026175050889260f, 0.939983753034014050f, 0.938932483532064600f, + 0.937872376439989890f, + 0.936803441735921560f, 0.935725689481080370f, 0.934639129819680780f, + 0.933543772978836170f, + 0.932439629268462360f, 0.931326709081180430f, 0.930205022892219070f, + 0.929074581259315860f, + 0.927935394822617890f, 0.926787474304581750f, 0.925630830509872720f, + 0.924465474325262600f, + 0.923291416719527640f, 0.922108668743345180f, 0.920917241529189520f, + 0.919717146291227360f, + 0.918508394325212250f, 0.917290997008377910f, 0.916064965799331720f, + 0.914830312237946200f, + 0.913587047945250810f, 0.912335184623322750f, 0.911074734055176360f, + 0.909805708104652220f, + 0.908528118716306120f, 0.907241977915295820f, 0.905947297807268460f, + 0.904644090578246240f, + 0.903332368494511820f, 0.902012143902493180f, 0.900683429228646970f, + 0.899346236979341570f, + 0.898000579740739880f, 0.896646470178680150f, 0.895283921038557580f, + 0.893912945145203250f, + 0.892533555402764580f, 0.891145764794583180f, 0.889749586383072780f, + 0.888345033309596350f, + 0.886932118794342190f, 0.885510856136199950f, 0.884081258712634990f, + 0.882643339979562790f, + 0.881197113471222090f, 0.879742592800047410f, 0.878279791656541580f, + 0.876808723809145650f, + 0.875329403104110890f, 0.873841843465366860f, 0.872346058894391540f, + 0.870842063470078980f, + 0.869329871348606840f, 0.867809496763303320f, 0.866280954024512990f, + 0.864744257519462380f, + 0.863199421712124160f, 0.861646461143081300f, 0.860085390429390140f, + 0.858516224264442740f, + 0.856938977417828760f, 0.855353664735196030f, 0.853760301138111410f, + 0.852158901623919830f, + 0.850549481265603480f, 0.848932055211639610f, 0.847306638685858320f, + 0.845673246987299070f, + 0.844031895490066410f, 0.842382599643185850f, 0.840725374970458070f, + 0.839060237070312740f, + 0.837387201615661940f, 0.835706284353752600f, 0.834017501106018130f, + 0.832320867767929680f, + 0.830616400308846310f, 0.828904114771864870f, 0.827184027273669130f, + 0.825456154004377550f, + 0.823720511227391430f, 0.821977115279241550f, 0.820225982569434690f, + 0.818467129580298660f, + 0.816700572866827850f, 0.814926329056526620f, 0.813144414849253590f, + 0.811354847017063730f, + 0.809557642404051260f, 0.807752817926190360f, 0.805940390571176280f, + 0.804120377398265810f, + 0.802292795538115720f, 0.800457662192622820f, 0.798614994634760820f, + 0.796764810208418830f, + 0.794907126328237010f, 0.793041960479443640f, 0.791169330217690200f, + 0.789289253168885650f, + 0.787401747029031430f, 0.785506829564053930f, 0.783604518609638200f, + 0.781694832071059390f, + 0.779777787923014550f, 0.777853404209453150f, 0.775921699043407690f, + 0.773982690606822900f, + 0.772036397150384520f, 0.770082836993347900f, 0.768122028523365420f, + 0.766153990196312920f, + 0.764178740536116670f, 0.762196298134578900f, 0.760206681651202420f, + 0.758209909813015280f, + 0.756206001414394540f, 0.754194975316889170f, 0.752176850449042810f, + 0.750151645806215070f, + 0.748119380450403600f, 0.746080073510063780f, 0.744033744179929290f, + 0.741980411720831070f, + 0.739920095459516200f, 0.737852814788465980f, 0.735778589165713590f, + 0.733697438114660370f, + 0.731609381223892630f, 0.729514438146997010f, 0.727412628602375770f, + 0.725303972373060770f, + 0.723188489306527460f, 0.721066199314508110f, 0.718937122372804490f, + 0.716801278521099540f, + 0.714658687862769090f, 0.712509370564692320f, 0.710353346857062420f, + 0.708190637033195400f, + 0.706021261449339740f, 0.703845240524484940f, 0.701662594740168570f, + 0.699473344640283770f, + 0.697277510830886630f, 0.695075113980000880f, 0.692866174817424740f, + 0.690650714134534720f, + 0.688428752784090550f, 0.686200311680038700f, 0.683965411797315510f, + 0.681724074171649820f, + 0.679476319899365080f, 0.677222170137180450f, 0.674961646102012040f, + 0.672694769070772970f, + 0.670421560380173090f, 0.668142041426518560f, 0.665856233665509720f, + 0.663564158612039880f, + 0.661265837839992270f, 0.658961292982037320f, 0.656650545729429050f, + 0.654333617831800550f, + 0.652010531096959500f, 0.649681307390683190f, 0.647345968636512060f, + 0.645004536815544040f, + 0.642657033966226860f, 0.640303482184151670f, 0.637943903621844170f, + 0.635578320488556230f, + 0.633206755050057190f, 0.630829229628424470f, 0.628445766601832710f, + 0.626056388404343520f, + 0.623661117525694640f, 0.621259976511087660f, 0.618852987960976320f, + 0.616440174530853650f, + 0.614021558931038490f, 0.611597163926462020f, 0.609167012336453210f, + 0.606731127034524480f, + 0.604289530948156070f, 0.601842247058580030f, 0.599389298400564540f, + 0.596930708062196500f, + 0.594466499184664540f, 0.591996694962040990f, 0.589521318641063940f, + 0.587040393520918080f, + 0.584553942953015330f, 0.582061990340775550f, 0.579564559139405740f, + 0.577061672855679550f, + 0.574553355047715760f, 0.572039629324757050f, 0.569520519346947250f, + 0.566996048825108680f, + 0.564466241520519500f, 0.561931121244689470f, 0.559390711859136140f, + 0.556845037275160100f, + 0.554294121453620110f, 0.551737988404707450f, 0.549176662187719770f, + 0.546610166910834860f, + 0.544038526730883930f, 0.541461765853123560f, 0.538879908531008420f, + 0.536292979065963180f, + 0.533701001807152960f, 0.531104001151255000f, 0.528502001542228480f, + 0.525895027471084740f, + 0.523283103475656430f, 0.520666254140367270f, 0.518044504095999340f, + 0.515417878019463150f, + 0.512786400633563070f, 0.510150096706766700f, 0.507508991052970870f, + 0.504863108531267480f, + 0.502212474045710900f, 0.499557112545081890f, 0.496897049022654640f, + 0.494232308515959730f, + 0.491562916106550060f, 0.488888896919763230f, 0.486210276124486530f, + 0.483527078932918740f, + 0.480839330600333900f, 0.478147056424843120f, 0.475450281747155870f, + 0.472749031950342900f, + 0.470043332459595620f, 0.467333208741988530f, 0.464618686306237820f, + 0.461899790702462840f, + 0.459176547521944150f, 0.456448982396883860f, 0.453717121000163930f, + 0.450980989045103810f, + 0.448240612285220000f, 0.445496016513981740f, 0.442747227564570130f, + 0.439994271309633260f, + 0.437237173661044200f, 0.434475960569655710f, 0.431710658025057370f, + 0.428941292055329550f, + 0.426167888726799620f, 0.423390474143796100f, 0.420609074448402510f, + 0.417823715820212380f, + 0.415034424476081630f, 0.412241226669883000f, 0.409444148692257590f, + 0.406643216870369140f, + 0.403838457567654130f, 0.401029897183575790f, 0.398217562153373620f, + 0.395401478947816300f, + 0.392581674072951530f, 0.389758174069856410f, 0.386931005514388690f, + 0.384100195016935040f, + 0.381265769222162490f, 0.378427754808765620f, 0.375586178489217330f, + 0.372741067009515810f, + 0.369892447148934270f, 0.367040345719767240f, 0.364184789567079840f, + 0.361325805568454340f, + 0.358463420633736540f, 0.355597661704783960f, 0.352728555755210730f, + 0.349856129790135030f, + 0.346980410845923680f, 0.344101425989938980f, 0.341219202320282410f, + 0.338333766965541290f, + 0.335445147084531660f, 0.332553369866044220f, 0.329658462528587550f, + 0.326760452320131790f, + 0.323859366517852960f, 0.320955232427875210f, 0.318048077385015060f, + 0.315137928752522440f, + 0.312224813921825050f, 0.309308760312268780f, 0.306389795370861080f, + 0.303467946572011370f, + 0.300543241417273400f, 0.297615707435086310f, 0.294685372180514330f, + 0.291752263234989370f, + 0.288816408206049480f, 0.285877834727080730f, 0.282936570457055390f, + 0.279992643080273380f, + 0.277046080306099950f, 0.274096909868706330f, 0.271145159526808070f, + 0.268190857063403180f, + 0.265234030285511900f, 0.262274707023913590f, 0.259312915132886350f, + 0.256348682489942910f, + 0.253382036995570270f, 0.250413006572965280f, 0.247441619167773440f, + 0.244467902747824210f, + 0.241491885302869300f, 0.238513594844318500f, 0.235533059404975460f, + 0.232550307038775330f, + 0.229565365820518870f, 0.226578263845610110f, 0.223589029229790020f, + 0.220597690108873650f, + 0.217604274638483670f, 0.214608810993786920f, 0.211611327369227610f, + 0.208611851978263460f, + 0.205610413053099320f, 0.202607038844421110f, 0.199601757621131050f, + 0.196594597670080220f, + 0.193585587295803750f, 0.190574754820252800f, 0.187562128582529740f, + 0.184547736938619640f, + 0.181531608261125130f, 0.178513770938997590f, 0.175494253377271400f, + 0.172473083996796030f, + 0.169450291233967930f, 0.166425903540464220f, 0.163399949382973230f, + 0.160372457242928400f, + 0.157343455616238280f, 0.154312973013020240f, 0.151281037957330250f, + 0.148247678986896200f, + 0.145212924652847520f, 0.142176803519448000f, 0.139139344163826280f, + 0.136100575175706200f, + 0.133060525157139180f, 0.130019222722233350f, 0.126976696496885980f, + 0.123932975118512200f, + 0.120888087235777220f, 0.117842061508325020f, 0.114794926606510250f, + 0.111746711211126660f, + 0.108697444013138670f, 0.105647153713410700f, 0.102595869022436280f, + 0.099543618660069444f, + 0.096490431355252607f, 0.093436335845747912f, 0.090381360877865011f, + 0.087325535206192226f, + 0.084268887593324127f, 0.081211446809592386f, 0.078153241632794315f, + 0.075094300847921291f, + 0.072034653246889416f, 0.068974327628266732f, 0.065913352797003930f, + 0.062851757564161420f, + 0.059789570746640007f, 0.056726821166907783f, 0.053663537652730679f, + 0.050599749036899337f, + 0.047535484156959261f, 0.044470771854938744f, 0.041405640977076712f, + 0.038340120373552791f, + 0.035274238898213947f, 0.032208025408304704f, 0.029141508764193740f, + 0.026074717829104040f, + 0.023007681468839410f, 0.019940428551514598f, 0.016872987947281773f, + 0.013805388528060349f, + 0.010737659167264572f, 0.007669828739531077f, 0.004601926120448672f, + 0.001533980186284766f +}; + +static const float32_t cos_factors_2048[2048] = { + 0.999999926465717890f, 0.999999338191525530f, 0.999998161643486980f, + 0.999996396822294350f, + 0.999994043728985820f, 0.999991102364945590f, 0.999987572731904080f, + 0.999983454831937730f, + 0.999978748667468830f, 0.999973454241265940f, 0.999967571556443780f, + 0.999961100616462820f, + 0.999954041425129780f, 0.999946393986597460f, 0.999938158305364590f, + 0.999929334386276070f, + 0.999919922234522750f, 0.999909921855641540f, 0.999899333255515390f, + 0.999888156440373320f, + 0.999876391416790410f, 0.999864038191687680f, 0.999851096772332190f, + 0.999837567166337090f, + 0.999823449381661570f, 0.999808743426610520f, 0.999793449309835270f, + 0.999777567040332940f, + 0.999761096627446610f, 0.999744038080865430f, 0.999726391410624470f, + 0.999708156627104880f, + 0.999689333741033640f, 0.999669922763483760f, 0.999649923705874240f, + 0.999629336579970110f, + 0.999608161397882110f, 0.999586398172067070f, 0.999564046915327740f, + 0.999541107640812940f, + 0.999517580362016990f, 0.999493465092780590f, 0.999468761847290050f, + 0.999443470640077770f, + 0.999417591486021720f, 0.999391124400346050f, 0.999364069398620550f, + 0.999336426496761240f, + 0.999308195711029470f, 0.999279377058032710f, 0.999249970554724420f, + 0.999219976218403530f, + 0.999189394066714920f, 0.999158224117649430f, 0.999126466389543390f, + 0.999094120901079070f, + 0.999061187671284600f, 0.999027666719533690f, 0.998993558065545680f, + 0.998958861729386080f, + 0.998923577731465780f, 0.998887706092541290f, 0.998851246833715180f, + 0.998814199976435390f, + 0.998776565542495610f, 0.998738343554035230f, 0.998699534033539280f, + 0.998660137003838490f, + 0.998620152488108870f, 0.998579580509872500f, 0.998538421092996730f, + 0.998496674261694640f, + 0.998454340040524800f, 0.998411418454391300f, 0.998367909528543820f, + 0.998323813288577560f, + 0.998279129760433200f, 0.998233858970396850f, 0.998188000945100300f, + 0.998141555711520520f, + 0.998094523296980010f, 0.998046903729146840f, 0.997998697036034390f, + 0.997949903246001190f, + 0.997900522387751620f, 0.997850554490335110f, 0.997799999583146470f, + 0.997748857695925690f, + 0.997697128858758500f, 0.997644813102075420f, 0.997591910456652630f, + 0.997538420953611340f, + 0.997484344624417930f, 0.997429681500884180f, 0.997374431615167150f, + 0.997318594999768600f, + 0.997262171687536170f, 0.997205161711661850f, 0.997147565105683480f, + 0.997089381903483400f, + 0.997030612139289450f, 0.996971255847674320f, 0.996911313063555740f, + 0.996850783822196610f, + 0.996789668159204560f, 0.996727966110532490f, 0.996665677712478160f, + 0.996602803001684130f, + 0.996539342015137940f, 0.996475294790172160f, 0.996410661364464100f, + 0.996345441776035900f, + 0.996279636063254650f, 0.996213244264832040f, 0.996146266419824620f, + 0.996078702567633980f, + 0.996010552748005870f, 0.995941817001031350f, 0.995872495367145730f, + 0.995802587887129160f, + 0.995732094602106430f, 0.995661015553546910f, 0.995589350783264600f, + 0.995517100333418110f, + 0.995444264246510340f, 0.995370842565388990f, 0.995296835333246090f, + 0.995222242593618360f, + 0.995147064390386470f, 0.995071300767776170f, 0.994994951770357020f, + 0.994918017443043200f, + 0.994840497831093180f, 0.994762392980109930f, 0.994683702936040250f, + 0.994604427745175660f, + 0.994524567454151740f, 0.994444122109948040f, 0.994363091759888570f, + 0.994281476451641550f, + 0.994199276233218910f, 0.994116491152977070f, 0.994033121259616400f, + 0.993949166602181130f, + 0.993864627230059750f, 0.993779503192984580f, 0.993693794541031790f, + 0.993607501324621610f, + 0.993520623594518090f, 0.993433161401829360f, 0.993345114798006910f, + 0.993256483834846440f, + 0.993167268564487230f, 0.993077469039412300f, 0.992987085312448390f, + 0.992896117436765980f, + 0.992804565465879140f, 0.992712429453645460f, 0.992619709454266140f, + 0.992526405522286100f, + 0.992432517712593660f, 0.992338046080420420f, 0.992242990681341700f, + 0.992147351571276090f, + 0.992051128806485720f, 0.991954322443575950f, 0.991856932539495470f, + 0.991758959151536110f, + 0.991660402337333210f, 0.991561262154865290f, 0.991461538662453790f, + 0.991361231918763460f, + 0.991260341982802440f, 0.991158868913921350f, 0.991056812771814340f, + 0.990954173616518500f, + 0.990850951508413620f, 0.990747146508222710f, 0.990642758677011570f, + 0.990537788076188750f, + 0.990432234767505970f, 0.990326098813057330f, 0.990219380275280000f, + 0.990112079216953770f, + 0.990004195701200910f, 0.989895729791486660f, 0.989786681551618640f, + 0.989677051045747210f, + 0.989566838338365120f, 0.989456043494307710f, 0.989344666578752640f, + 0.989232707657220050f, + 0.989120166795572690f, 0.989007044060015270f, 0.988893339517095130f, + 0.988779053233701520f, + 0.988664185277066230f, 0.988548735714763200f, 0.988432704614708340f, + 0.988316092045159690f, + 0.988198898074717610f, 0.988081122772324070f, 0.987962766207263420f, + 0.987843828449161740f, + 0.987724309567986960f, 0.987604209634049160f, 0.987483528717999710f, + 0.987362266890832400f, + 0.987240424223882250f, 0.987118000788826280f, 0.986994996657682980f, + 0.986871411902812470f, + 0.986747246596916590f, 0.986622500813038480f, 0.986497174624562880f, + 0.986371268105216030f, + 0.986244781329065460f, 0.986117714370520090f, 0.985990067304330140f, + 0.985861840205586980f, + 0.985733033149723490f, 0.985603646212513400f, 0.985473679470071810f, + 0.985343132998854790f, + 0.985212006875659350f, 0.985080301177623800f, 0.984948015982227030f, + 0.984815151367289140f, + 0.984681707410970940f, 0.984547684191773960f, 0.984413081788540700f, + 0.984277900280454370f, + 0.984142139747038570f, 0.984005800268157870f, 0.983868881924017220f, + 0.983731384795162090f, + 0.983593308962478650f, 0.983454654507193270f, 0.983315421510872810f, + 0.983175610055424420f, + 0.983035220223095640f, 0.982894252096474070f, 0.982752705758487830f, + 0.982610581292404750f, + 0.982467878781833170f, 0.982324598310721280f, 0.982180739963357090f, + 0.982036303824369020f, + 0.981891289978725100f, 0.981745698511732990f, 0.981599529509040720f, + 0.981452783056635520f, + 0.981305459240844670f, 0.981157558148334830f, 0.981009079866112630f, + 0.980860024481523870f, + 0.980710392082253970f, 0.980560182756327840f, 0.980409396592109910f, + 0.980258033678303550f, + 0.980106094103951770f, 0.979953577958436740f, 0.979800485331479790f, + 0.979646816313141210f, + 0.979492570993820810f, 0.979337749464256780f, 0.979182351815526930f, + 0.979026378139047580f, + 0.978869828526574120f, 0.978712703070200420f, 0.978555001862359550f, + 0.978396724995823090f, + 0.978237872563701090f, 0.978078444659442380f, 0.977918441376834370f, + 0.977757862810002760f, + 0.977596709053411890f, 0.977434980201864260f, 0.977272676350500860f, + 0.977109797594800880f, + 0.976946344030581670f, 0.976782315753998650f, 0.976617712861545640f, + 0.976452535450054060f, + 0.976286783616693630f, 0.976120457458971910f, 0.975953557074734300f, + 0.975786082562163930f, + 0.975618034019781750f, 0.975449411546446380f, 0.975280215241354220f, + 0.975110445204038890f, + 0.974940101534371830f, 0.974769184332561770f, 0.974597693699155050f, + 0.974425629735034990f, + 0.974252992541422500f, 0.974079782219875680f, 0.973905998872289570f, + 0.973731642600896400f, + 0.973556713508265560f, 0.973381211697303290f, 0.973205137271252800f, + 0.973028490333694210f, + 0.972851270988544180f, 0.972673479340056430f, 0.972495115492821190f, + 0.972316179551765300f, + 0.972136671622152230f, 0.971956591809581720f, 0.971775940219990140f, + 0.971594716959650160f, + 0.971412922135170940f, 0.971230555853497380f, 0.971047618221911100f, + 0.970864109348029470f, + 0.970680029339806130f, 0.970495378305530560f, 0.970310156353828110f, + 0.970124363593660280f, + 0.969938000134323960f, 0.969751066085452140f, 0.969563561557013180f, + 0.969375486659311280f, + 0.969186841502985950f, 0.968997626199012420f, 0.968807840858700970f, + 0.968617485593697540f, + 0.968426560515983190f, 0.968235065737874320f, 0.968043001372022260f, + 0.967850367531413620f, + 0.967657164329369880f, 0.967463391879547550f, 0.967269050295937790f, + 0.967074139692867040f, + 0.966878660184995910f, 0.966682611887320080f, 0.966485994915169840f, + 0.966288809384209690f, + 0.966091055410438830f, 0.965892733110190860f, 0.965693842600133690f, + 0.965494383997269500f, + 0.965294357418934660f, 0.965093762982799590f, 0.964892600806868890f, + 0.964690871009481030f, + 0.964488573709308410f, 0.964285709025357480f, 0.964082277076968140f, + 0.963878277983814200f, + 0.963673711865903230f, 0.963468578843575950f, 0.963262879037507070f, + 0.963056612568704340f, + 0.962849779558509030f, 0.962642380128595710f, 0.962434414400972100f, + 0.962225882497979020f, + 0.962016784542290560f, 0.961807120656913540f, 0.961596890965187860f, + 0.961386095590786250f, + 0.961174734657714080f, 0.960962808290309780f, 0.960750316613243950f, + 0.960537259751520050f, + 0.960323637830473920f, 0.960109450975773940f, 0.959894699313420530f, + 0.959679382969746750f, + 0.959463502071417510f, 0.959247056745430090f, 0.959030047119113660f, + 0.958812473320129310f, + 0.958594335476470220f, 0.958375633716461170f, 0.958156368168758820f, + 0.957936538962351420f, + 0.957716146226558870f, 0.957495190091032570f, 0.957273670685755200f, + 0.957051588141040970f, + 0.956828942587535370f, 0.956605734156215080f, 0.956381962978387730f, + 0.956157629185692140f, + 0.955932732910098280f, 0.955707274283906560f, 0.955481253439748770f, + 0.955254670510586990f, + 0.955027525629714160f, 0.954799818930753720f, 0.954571550547659630f, + 0.954342720614716480f, + 0.954113329266538800f, 0.953883376638071770f, 0.953652862864590500f, + 0.953421788081700310f, + 0.953190152425336670f, 0.952957956031764700f, 0.952725199037579570f, + 0.952491881579706320f, + 0.952258003795399600f, 0.952023565822243570f, 0.951788567798152130f, + 0.951553009861368590f, + 0.951316892150465550f, 0.951080214804345010f, 0.950842977962238160f, + 0.950605181763705340f, + 0.950366826348635780f, 0.950127911857248100f, 0.949888438430089300f, + 0.949648406208035480f, + 0.949407815332291570f, 0.949166665944390700f, 0.948924958186195160f, + 0.948682692199895090f, + 0.948439868128009620f, 0.948196486113385580f, 0.947952546299198670f, + 0.947708048828952100f, + 0.947462993846477700f, 0.947217381495934820f, 0.946971211921810880f, + 0.946724485268921170f, + 0.946477201682408680f, 0.946229361307743820f, 0.945980964290724760f, + 0.945732010777477150f, + 0.945482500914453740f, 0.945232434848435000f, 0.944981812726528150f, + 0.944730634696167800f, + 0.944478900905115550f, 0.944226611501459810f, 0.943973766633615980f, + 0.943720366450326200f, + 0.943466411100659320f, 0.943211900734010620f, 0.942956835500102120f, + 0.942701215548981900f, + 0.942445041031024890f, 0.942188312096931770f, 0.941931028897729620f, + 0.941673191584771360f, + 0.941414800309736340f, 0.941155855224629190f, 0.940896356481780830f, + 0.940636304233847590f, + 0.940375698633811540f, 0.940114539834980280f, 0.939852827990986680f, + 0.939590563255789270f, + 0.939327745783671400f, 0.939064375729241950f, 0.938800453247434770f, + 0.938535978493508560f, + 0.938270951623047190f, 0.938005372791958840f, 0.937739242156476970f, + 0.937472559873159250f, + 0.937205326098887960f, 0.936937540990869900f, 0.936669204706636170f, + 0.936400317404042060f, + 0.936130879241267030f, 0.935860890376814640f, 0.935590350969512370f, + 0.935319261178511610f, + 0.935047621163287430f, 0.934775431083638700f, 0.934502691099687870f, + 0.934229401371880820f, + 0.933955562060986730f, 0.933681173328098410f, 0.933406235334631520f, + 0.933130748242325230f, + 0.932854712213241120f, 0.932578127409764420f, 0.932300993994602760f, + 0.932023312130786490f, + 0.931745081981668720f, 0.931466303710925090f, 0.931186977482553750f, + 0.930907103460875130f, + 0.930626681810531760f, 0.930345712696488470f, 0.930064196284032360f, + 0.929782132738772190f, + 0.929499522226638560f, 0.929216364913884040f, 0.928932660967082820f, + 0.928648410553130520f, + 0.928363613839244370f, 0.928078270992963140f, 0.927792382182146320f, + 0.927505947574975180f, + 0.927218967339951790f, 0.926931441645899130f, 0.926643370661961230f, + 0.926354754557602860f, + 0.926065593502609310f, 0.925775887667086740f, 0.925485637221461490f, + 0.925194842336480530f, + 0.924903503183210910f, 0.924611619933039970f, 0.924319192757675160f, + 0.924026221829143850f, + 0.923732707319793290f, 0.923438649402290370f, 0.923144048249621930f, + 0.922848904035094120f, + 0.922553216932332830f, 0.922256987115283030f, 0.921960214758209220f, + 0.921662900035694730f, + 0.921365043122642340f, 0.921066644194273640f, 0.920767703426128790f, + 0.920468220994067110f, + 0.920168197074266340f, 0.919867631843222950f, 0.919566525477751530f, + 0.919264878154985370f, + 0.918962690052375630f, 0.918659961347691900f, 0.918356692219021720f, + 0.918052882844770380f, + 0.917748533403661250f, 0.917443644074735220f, 0.917138215037350710f, + 0.916832246471183890f, + 0.916525738556228210f, 0.916218691472794220f, 0.915911105401509880f, + 0.915602980523320230f, + 0.915294317019487050f, 0.914985115071589310f, 0.914675374861522390f, + 0.914365096571498560f, + 0.914054280384046570f, 0.913742926482011390f, 0.913431035048554720f, + 0.913118606267154240f, + 0.912805640321603500f, 0.912492137396012650f, 0.912178097674807180f, + 0.911863521342728520f, + 0.911548408584833990f, 0.911232759586496190f, 0.910916574533403360f, + 0.910599853611558930f, + 0.910282597007281760f, 0.909964804907205660f, 0.909646477498279540f, + 0.909327614967767260f, + 0.909008217503247450f, 0.908688285292613360f, 0.908367818524072890f, + 0.908046817386148340f, + 0.907725282067676440f, 0.907403212757808110f, 0.907080609646008450f, + 0.906757472922056550f, + 0.906433802776045460f, 0.906109599398381980f, 0.905784862979786550f, + 0.905459593711293250f, + 0.905133791784249690f, 0.904807457390316540f, 0.904480590721468250f, + 0.904153191969991780f, + 0.903825261328487510f, 0.903496798989868450f, 0.903167805147360720f, + 0.902838279994502830f, + 0.902508223725145940f, 0.902177636533453620f, 0.901846518613901750f, + 0.901514870161278740f, + 0.901182691370684520f, 0.900849982437531450f, 0.900516743557543520f, + 0.900182974926756810f, + 0.899848676741518580f, 0.899513849198487980f, 0.899178492494635330f, + 0.898842606827242370f, + 0.898506192393901950f, 0.898169249392518080f, 0.897831778021305650f, + 0.897493778478790310f, + 0.897155250963808550f, 0.896816195675507300f, 0.896476612813344120f, + 0.896136502577086770f, + 0.895795865166813530f, 0.895454700782912450f, 0.895113009626081760f, + 0.894770791897329550f, + 0.894428047797973800f, 0.894084777529641990f, 0.893740981294271040f, + 0.893396659294107720f, + 0.893051811731707450f, 0.892706438809935390f, 0.892360540731965360f, + 0.892014117701280470f, + 0.891667169921672280f, 0.891319697597241390f, 0.890971700932396860f, + 0.890623180131855930f, + 0.890274135400644600f, 0.889924566944096720f, 0.889574474967854580f, + 0.889223859677868210f, + 0.888872721280395630f, 0.888521059982002260f, 0.888168875989561730f, + 0.887816169510254440f, + 0.887462940751568840f, 0.887109189921300170f, 0.886754917227550840f, + 0.886400122878730600f, + 0.886044807083555600f, 0.885688970051048960f, 0.885332611990540590f, + 0.884975733111666660f, + 0.884618333624369920f, 0.884260413738899190f, 0.883901973665809470f, + 0.883543013615961880f, + 0.883183533800523390f, 0.882823534430966620f, 0.882463015719070150f, + 0.882101977876917580f, + 0.881740421116898320f, 0.881378345651706920f, 0.881015751694342870f, + 0.880652639458111010f, + 0.880289009156621010f, 0.879924861003786860f, 0.879560195213827890f, + 0.879195012001267480f, + 0.878829311580933360f, 0.878463094167957870f, 0.878096359977777130f, + 0.877729109226131570f, + 0.877361342129065140f, 0.876993058902925890f, 0.876624259764365310f, + 0.876254944930338510f, + 0.875885114618103810f, 0.875514769045222850f, 0.875143908429560360f, + 0.874772532989284150f, + 0.874400642942864790f, 0.874028238509075740f, 0.873655319906992630f, + 0.873281887355994210f, + 0.872907941075761080f, 0.872533481286276170f, 0.872158508207824480f, + 0.871783022060993120f, + 0.871407023066670950f, 0.871030511446048260f, 0.870653487420617430f, + 0.870275951212171940f, + 0.869897903042806340f, 0.869519343134916860f, 0.869140271711200560f, + 0.868760688994655310f, + 0.868380595208579800f, 0.867999990576573510f, 0.867618875322536230f, + 0.867237249670668400f, + 0.866855113845470430f, 0.866472468071743050f, 0.866089312574586770f, + 0.865705647579402380f, + 0.865321473311889800f, 0.864936789998049020f, 0.864551597864179340f, + 0.864165897136879300f, + 0.863779688043046720f, 0.863392970809878420f, 0.863005745664870320f, + 0.862618012835816740f, + 0.862229772550811240f, 0.861841025038245330f, 0.861451770526809320f, + 0.861062009245491480f, + 0.860671741423578380f, 0.860280967290654510f, 0.859889687076602290f, + 0.859497901011601730f, + 0.859105609326130450f, 0.858712812250963520f, 0.858319510017173440f, + 0.857925702856129790f, + 0.857531390999499150f, 0.857136574679244980f, 0.856741254127627470f, + 0.856345429577203610f, + 0.855949101260826910f, 0.855552269411646860f, 0.855154934263109620f, + 0.854757096048957220f, + 0.854358755003227440f, 0.853959911360254180f, 0.853560565354666840f, + 0.853160717221390420f, + 0.852760367195645300f, 0.852359515512947090f, 0.851958162409106380f, + 0.851556308120228980f, + 0.851153952882715340f, 0.850751096933260790f, 0.850347740508854980f, + 0.849943883846782210f, + 0.849539527184620890f, 0.849134670760243630f, 0.848729314811817130f, + 0.848323459577801640f, + 0.847917105296951410f, 0.847510252208314330f, 0.847102900551231500f, + 0.846695050565337450f, + 0.846286702490559710f, 0.845877856567119000f, 0.845468513035528830f, + 0.845058672136595470f, + 0.844648334111417820f, 0.844237499201387020f, 0.843826167648186740f, + 0.843414339693792760f, + 0.843002015580472940f, 0.842589195550786710f, 0.842175879847585570f, + 0.841762068714012490f, + 0.841347762393501950f, 0.840932961129779780f, 0.840517665166862550f, + 0.840101874749058400f, + 0.839685590120966110f, 0.839268811527475230f, 0.838851539213765760f, + 0.838433773425308340f, + 0.838015514407863820f, 0.837596762407483040f, 0.837177517670507300f, + 0.836757780443567190f, + 0.836337550973583530f, 0.835916829507766360f, 0.835495616293615350f, + 0.835073911578919410f, + 0.834651715611756440f, 0.834229028640493420f, 0.833805850913786340f, + 0.833382182680579730f, + 0.832958024190106670f, 0.832533375691888680f, 0.832108237435735590f, + 0.831682609671745120f, + 0.831256492650303210f, 0.830829886622083570f, 0.830402791838047550f, + 0.829975208549443950f, + 0.829547137007808910f, 0.829118577464965980f, 0.828689530173025820f, + 0.828259995384385660f, + 0.827829973351729920f, 0.827399464328029470f, 0.826968468566541600f, + 0.826536986320809960f, + 0.826105017844664610f, 0.825672563392221390f, 0.825239623217882250f, + 0.824806197576334330f, + 0.824372286722551250f, 0.823937890911791370f, 0.823503010399598500f, + 0.823067645441801670f, + 0.822631796294514990f, 0.822195463214137170f, 0.821758646457351750f, + 0.821321346281126740f, + 0.820883562942714580f, 0.820445296699652050f, 0.820006547809759680f, + 0.819567316531142230f, + 0.819127603122188240f, 0.818687407841569680f, 0.818246730948242070f, + 0.817805572701444270f, + 0.817363933360698460f, 0.816921813185809480f, 0.816479212436865390f, + 0.816036131374236810f, + 0.815592570258576790f, 0.815148529350820830f, 0.814704008912187080f, + 0.814259009204175270f, + 0.813813530488567190f, 0.813367573027426570f, 0.812921137083098770f, + 0.812474222918210480f, + 0.812026830795669730f, 0.811578960978665890f, 0.811130613730669190f, + 0.810681789315430780f, + 0.810232487996982330f, 0.809782710039636530f, 0.809332455707985950f, + 0.808881725266903610f, + 0.808430518981542720f, 0.807978837117336310f, 0.807526679939997160f, + 0.807074047715517610f, + 0.806620940710169650f, 0.806167359190504420f, 0.805713303423352230f, + 0.805258773675822210f, + 0.804803770215302920f, 0.804348293309460780f, 0.803892343226241260f, + 0.803435920233868120f, + 0.802979024600843250f, 0.802521656595946430f, 0.802063816488235440f, + 0.801605504547046150f, + 0.801146721041991360f, 0.800687466242961610f, 0.800227740420124790f, + 0.799767543843925680f, + 0.799306876785086160f, 0.798845739514604580f, 0.798384132303756380f, + 0.797922055424093000f, + 0.797459509147442460f, 0.796996493745908750f, 0.796533009491872000f, + 0.796069056657987990f, + 0.795604635517188070f, 0.795139746342679590f, 0.794674389407944550f, + 0.794208564986740640f, + 0.793742273353100210f, 0.793275514781330630f, 0.792808289546014120f, + 0.792340597922007170f, + 0.791872440184440470f, 0.791403816608719500f, 0.790934727470523290f, + 0.790465173045804880f, + 0.789995153610791090f, 0.789524669441982190f, 0.789053720816151880f, + 0.788582308010347120f, + 0.788110431301888070f, 0.787638090968367450f, 0.787165287287651010f, + 0.786692020537876790f, + 0.786218290997455660f, 0.785744098945070360f, 0.785269444659675850f, + 0.784794328420499230f, + 0.784318750507038920f, 0.783842711199065230f, 0.783366210776619720f, + 0.782889249520015480f, + 0.782411827709836530f, 0.781933945626937630f, 0.781455603552444590f, + 0.780976801767753750f, + 0.780497540554531910f, 0.780017820194715990f, 0.779537640970513260f, + 0.779057003164400630f, + 0.778575907059125050f, 0.778094352937702790f, 0.777612341083420030f, + 0.777129871779831620f, + 0.776646945310762060f, 0.776163561960304340f, 0.775679722012820650f, + 0.775195425752941420f, + 0.774710673465565550f, 0.774225465435860680f, 0.773739801949261840f, + 0.773253683291472590f, + 0.772767109748463850f, 0.772280081606474320f, 0.771792599152010150f, + 0.771304662671844830f, + 0.770816272453018540f, 0.770327428782838890f, 0.769838131948879840f, + 0.769348382238982280f, + 0.768858179941253270f, 0.768367525344066270f, 0.767876418736060610f, + 0.767384860406141730f, + 0.766892850643480670f, 0.766400389737514230f, 0.765907477977944340f, + 0.765414115654738270f, + 0.764920303058128410f, 0.764426040478612070f, 0.763931328206951090f, + 0.763436166534172010f, + 0.762940555751565720f, 0.762444496150687210f, 0.761947988023355390f, + 0.761451031661653620f, + 0.760953627357928150f, 0.760455775404789260f, 0.759957476095110330f, + 0.759458729722028210f, + 0.758959536578942440f, 0.758459896959515430f, 0.757959811157672300f, + 0.757459279467600720f, + 0.756958302183750490f, 0.756456879600833740f, 0.755955012013824420f, + 0.755452699717958250f, + 0.754949943008732640f, 0.754446742181906440f, 0.753943097533499640f, + 0.753439009359793580f, + 0.752934477957330150f, 0.752429503622912390f, 0.751924086653603550f, + 0.751418227346727470f, + 0.750911925999867890f, 0.750405182910869330f, 0.749897998377835330f, + 0.749390372699129560f, + 0.748882306173375150f, 0.748373799099454560f, 0.747864851776509410f, + 0.747355464503940190f, + 0.746845637581406540f, 0.746335371308826320f, 0.745824665986376090f, + 0.745313521914490520f, + 0.744801939393862630f, 0.744289918725443260f, 0.743777460210440890f, + 0.743264564150321600f, + 0.742751230846809050f, 0.742237460601884000f, 0.741723253717784140f, + 0.741208610497004260f, + 0.740693531242295760f, 0.740178016256666240f, 0.739662065843380010f, + 0.739145680305957510f, + 0.738628859948174840f, 0.738111605074064260f, 0.737593915987913570f, + 0.737075792994265730f, + 0.736557236397919150f, 0.736038246503927350f, 0.735518823617598900f, + 0.734998968044496710f, + 0.734478680090438370f, 0.733957960061495940f, 0.733436808263995710f, + 0.732915225004517780f, + 0.732393210589896040f, 0.731870765327218290f, 0.731347889523825570f, + 0.730824583487312160f, + 0.730300847525525490f, 0.729776681946566090f, 0.729252087058786970f, + 0.728727063170793830f, + 0.728201610591444610f, 0.727675729629849610f, 0.727149420595371020f, + 0.726622683797622850f, + 0.726095519546471000f, 0.725567928152032300f, 0.725039909924675370f, + 0.724511465175019630f, + 0.723982594213935520f, 0.723453297352544380f, 0.722923574902217700f, + 0.722393427174577550f, + 0.721862854481496340f, 0.721331857135096290f, 0.720800435447749190f, + 0.720268589732077190f, + 0.719736320300951030f, 0.719203627467491220f, 0.718670511545067230f, + 0.718136972847297490f, + 0.717603011688049080f, 0.717068628381437480f, 0.716533823241826680f, + 0.715998596583828690f, + 0.715462948722303760f, 0.714926879972359490f, 0.714390390649351390f, + 0.713853481068882470f, + 0.713316151546802610f, 0.712778402399208980f, 0.712240233942445510f, + 0.711701646493102970f, + 0.711162640368018350f, 0.710623215884275020f, 0.710083373359202800f, + 0.709543113110376770f, + 0.709002435455618250f, 0.708461340712994160f, 0.707919829200816310f, + 0.707377901237642100f, + 0.706835557142273860f, 0.706292797233758480f, 0.705749621831387790f, + 0.705206031254697830f, + 0.704662025823468930f, 0.704117605857725430f, 0.703572771677735580f, + 0.703027523604011220f, + 0.702481861957308000f, 0.701935787058624360f, 0.701389299229202230f, + 0.700842398790526230f, + 0.700295086064323780f, 0.699747361372564990f, 0.699199225037462120f, + 0.698650677381469580f, + 0.698101718727283880f, 0.697552349397843270f, 0.697002569716327460f, + 0.696452380006157830f, + 0.695901780590996830f, 0.695350771794747800f, 0.694799353941554900f, + 0.694247527355803310f, + 0.693695292362118350f, 0.693142649285365510f, 0.692589598450650380f, + 0.692036140183318830f, + 0.691482274808955850f, 0.690928002653386280f, 0.690373324042674040f, + 0.689818239303122470f, + 0.689262748761273470f, 0.688706852743907750f, 0.688150551578044830f, + 0.687593845590942170f, + 0.687036735110095660f, 0.686479220463238950f, 0.685921301978343670f, + 0.685362979983618730f, + 0.684804254807510620f, 0.684245126778703080f, 0.683685596226116690f, + 0.683125663478908800f, + 0.682565328866473250f, 0.682004592718440830f, 0.681443455364677990f, + 0.680881917135287340f, + 0.680319978360607200f, 0.679757639371212030f, 0.679194900497911200f, + 0.678631762071749470f, + 0.678068224424006600f, 0.677504287886197430f, 0.676939952790071240f, + 0.676375219467611700f, + 0.675810088251037060f, 0.675244559472799270f, 0.674678633465584540f, + 0.674112310562312360f, + 0.673545591096136100f, 0.672978475400442090f, 0.672410963808849900f, + 0.671843056655211930f, + 0.671274754273613490f, 0.670706056998372160f, 0.670136965164037760f, + 0.669567479105392490f, + 0.668997599157450270f, 0.668427325655456820f, 0.667856658934889440f, + 0.667285599331456480f, + 0.666714147181097670f, 0.666142302819983540f, 0.665570066584515560f, + 0.664997438811325340f, + 0.664424419837275180f, 0.663851009999457340f, 0.663277209635194100f, + 0.662703019082037440f, + 0.662128438677768720f, 0.661553468760399000f, 0.660978109668168060f, + 0.660402361739545030f, + 0.659826225313227430f, 0.659249700728141490f, 0.658672788323441890f, + 0.658095488438511290f, + 0.657517801412960120f, 0.656939727586627110f, 0.656361267299578000f, + 0.655782420892106030f, + 0.655203188704731930f, 0.654623571078202680f, 0.654043568353492640f, + 0.653463180871802330f, + 0.652882408974558960f, 0.652301253003415460f, 0.651719713300251020f, + 0.651137790207170330f, + 0.650555484066503990f, 0.649972795220807530f, 0.649389724012861770f, + 0.648806270785672550f, + 0.648222435882470420f, 0.647638219646710420f, 0.647053622422071650f, + 0.646468644552457890f, + 0.645883286381996440f, 0.645297548255038380f, 0.644711430516158420f, + 0.644124933510154540f, + 0.643538057582047850f, 0.642950803077082080f, 0.642363170340724320f, + 0.641775159718663500f, + 0.641186771556811250f, 0.640598006201301030f, 0.640008863998488440f, + 0.639419345294950700f, + 0.638829450437486400f, 0.638239179773115390f, 0.637648533649078810f, + 0.637057512412838590f, + 0.636466116412077180f, 0.635874345994697720f, 0.635282201508823530f, + 0.634689683302797850f, + 0.634096791725183740f, 0.633503527124764320f, 0.632909889850541860f, + 0.632315880251737680f, + 0.631721498677792370f, 0.631126745478365340f, 0.630531621003334600f, + 0.629936125602796550f, + 0.629340259627065750f, 0.628744023426674790f, 0.628147417352374120f, + 0.627550441755131530f, + 0.626953096986132770f, 0.626355383396779990f, 0.625757301338692900f, + 0.625158851163707730f, + 0.624560033223877320f, 0.623960847871470770f, 0.623361295458973340f, + 0.622761376339086460f, + 0.622161090864726930f, 0.621560439389027270f, 0.620959422265335180f, + 0.620358039847213830f, + 0.619756292488440660f, 0.619154180543008410f, 0.618551704365123860f, + 0.617948864309208260f, + 0.617345660729896940f, 0.616742093982038830f, 0.616138164420696910f, + 0.615533872401147430f, + 0.614929218278879590f, 0.614324202409595950f, 0.613718825149211830f, + 0.613113086853854910f, + 0.612506987879865570f, 0.611900528583796070f, 0.611293709322411010f, + 0.610686530452686280f, + 0.610078992331809620f, 0.609471095317180240f, 0.608862839766408200f, + 0.608254226037314490f, + 0.607645254487930830f, 0.607035925476499760f, 0.606426239361473550f, + 0.605816196501515080f, + 0.605205797255496500f, 0.604595041982500360f, 0.603983931041818020f, + 0.603372464792950370f, + 0.602760643595607220f, 0.602148467809707320f, 0.601535937795377730f, + 0.600923053912954090f, + 0.600309816522980430f, 0.599696225986208310f, 0.599082282663597310f, + 0.598467986916314310f, + 0.597853339105733910f, 0.597238339593437530f, 0.596622988741213330f, + 0.596007286911056530f, + 0.595391234465168730f, 0.594774831765957580f, 0.594158079176036800f, + 0.593540977058226390f, + 0.592923525775551410f, 0.592305725691242400f, 0.591687577168735550f, + 0.591069080571671510f, + 0.590450236263895920f, 0.589831044609458900f, 0.589211505972615070f, + 0.588591620717822890f, + 0.587971389209745120f, 0.587350811813247660f, 0.586729888893400500f, + 0.586108620815476430f, + 0.585487007944951450f, 0.584865050647504490f, 0.584242749289016980f, + 0.583620104235572760f, + 0.582997115853457700f, 0.582373784509160220f, 0.581750110569369760f, + 0.581126094400977620f, + 0.580501736371076600f, 0.579877036846960350f, 0.579251996196123550f, + 0.578626614786261430f, + 0.578000892985269910f, 0.577374831161244880f, 0.576748429682482520f, + 0.576121688917478390f, + 0.575494609234928230f, 0.574867191003726740f, 0.574239434592967890f, + 0.573611340371944610f, + 0.572982908710148680f, 0.572354139977270030f, 0.571725034543197120f, + 0.571095592778016690f, + 0.570465815052012990f, 0.569835701735668110f, 0.569205253199661200f, + 0.568574469814869250f, + 0.567943351952365670f, 0.567311899983420800f, 0.566680114279501710f, + 0.566047995212271560f, + 0.565415543153589770f, 0.564782758475511400f, 0.564149641550287680f, + 0.563516192750364910f, + 0.562882412448384550f, 0.562248301017183150f, 0.561613858829792420f, + 0.560979086259438260f, + 0.560343983679540860f, 0.559708551463714790f, 0.559072789985768480f, + 0.558436699619704100f, + 0.557800280739717100f, 0.557163533720196340f, 0.556526458935723720f, + 0.555889056761073920f, + 0.555251327571214090f, 0.554613271741304040f, 0.553974889646695610f, + 0.553336181662932410f, + 0.552697148165749770f, 0.552057789531074980f, 0.551418106135026060f, + 0.550778098353912230f, + 0.550137766564233630f, 0.549497111142680960f, 0.548856132466135290f, + 0.548214830911667780f, + 0.547573206856539870f, 0.546931260678202190f, 0.546288992754295210f, + 0.545646403462648590f, + 0.545003493181281160f, 0.544360262288400400f, 0.543716711162402390f, + 0.543072840181871850f, + 0.542428649725581360f, 0.541784140172491660f, 0.541139311901750910f, + 0.540494165292695230f, + 0.539848700724847700f, 0.539202918577918240f, 0.538556819231804210f, + 0.537910403066588990f, + 0.537263670462542530f, 0.536616621800121150f, 0.535969257459966710f, + 0.535321577822907010f, + 0.534673583269955510f, 0.534025274182310380f, 0.533376650941355560f, + 0.532727713928658810f, + 0.532078463525973540f, 0.531428900115236910f, 0.530779024078570250f, + 0.530128835798278850f, + 0.529478335656852090f, 0.528827524036961980f, 0.528176401321464370f, + 0.527524967893398200f, + 0.526873224135984700f, 0.526221170432628170f, 0.525568807166914680f, + 0.524916134722612890f, + 0.524263153483673470f, 0.523609863834228030f, 0.522956266158590140f, + 0.522302360841254700f, + 0.521648148266897090f, 0.520993628820373810f, 0.520338802886721960f, + 0.519683670851158520f, + 0.519028233099080970f, 0.518372490016066220f, 0.517716441987871150f, + 0.517060089400432130f, + 0.516403432639863990f, 0.515746472092461380f, 0.515089208144697270f, + 0.514431641183222930f, + 0.513773771594868030f, 0.513115599766640560f, 0.512457126085725800f, + 0.511798350939487000f, + 0.511139274715464390f, 0.510479897801375700f, 0.509820220585115560f, + 0.509160243454754750f, + 0.508499966798540810f, 0.507839391004897940f, 0.507178516462425290f, + 0.506517343559898530f, + 0.505855872686268860f, 0.505194104230662240f, 0.504532038582380380f, + 0.503869676130898950f, + 0.503207017265869030f, 0.502544062377115800f, 0.501880811854638400f, + 0.501217266088609950f, + 0.500553425469377640f, 0.499889290387461380f, 0.499224861233555030f, + 0.498560138398525200f, + 0.497895122273410930f, 0.497229813249424340f, 0.496564211717949340f, + 0.495898318070542240f, + 0.495232132698931350f, 0.494565655995016010f, 0.493898888350867430f, + 0.493231830158728070f, + 0.492564481811010650f, 0.491896843700299240f, 0.491228916219348330f, + 0.490560699761082080f, + 0.489892194718595300f, 0.489223401485152030f, 0.488554320454186230f, + 0.487884952019301210f, + 0.487215296574268820f, 0.486545354513030270f, 0.485875126229695420f, + 0.485204612118541880f, + 0.484533812574016120f, 0.483862727990732320f, 0.483191358763471910f, + 0.482519705287184520f, + 0.481847767956986080f, 0.481175547168160360f, 0.480503043316157670f, + 0.479830256796594250f, + 0.479157188005253310f, 0.478483837338084080f, 0.477810205191201040f, + 0.477136291960884750f, + 0.476462098043581310f, 0.475787623835901120f, 0.475112869734620470f, + 0.474437836136679340f, + 0.473762523439182850f, 0.473086932039400220f, 0.472411062334764100f, + 0.471734914722871430f, + 0.471058489601482610f, 0.470381787368520710f, 0.469704808422072460f, + 0.469027553160387240f, + 0.468350021981876530f, 0.467672215285114710f, 0.466994133468838110f, + 0.466315776931944480f, + 0.465637146073493770f, 0.464958241292706740f, 0.464279062988965760f, + 0.463599611561814120f, + 0.462919887410955130f, 0.462239890936253280f, 0.461559622537733190f, + 0.460879082615578690f, + 0.460198271570134270f, 0.459517189801903590f, 0.458835837711549120f, + 0.458154215699893230f, + 0.457472324167916110f, 0.456790163516757220f, 0.456107734147714220f, + 0.455425036462242420f, + 0.454742070861955450f, 0.454058837748624540f, 0.453375337524177750f, + 0.452691570590700860f, + 0.452007537350436530f, 0.451323238205783520f, 0.450638673559297760f, + 0.449953843813690580f, + 0.449268749371829920f, 0.448583390636739300f, 0.447897768011597360f, + 0.447211881899738260f, + 0.446525732704651400f, 0.445839320829980350f, 0.445152646679523590f, + 0.444465710657234110f, + 0.443778513167218280f, 0.443091054613736990f, 0.442403335401204130f, + 0.441715355934187310f, + 0.441027116617407340f, 0.440338617855737300f, 0.439649860054203420f, + 0.438960843617984430f, + 0.438271568952410480f, 0.437582036462964340f, 0.436892246555280470f, + 0.436202199635143950f, + 0.435511896108492170f, 0.434821336381412350f, 0.434130520860143310f, + 0.433439449951074200f, + 0.432748124060743760f, 0.432056543595841450f, 0.431364708963206440f, + 0.430672620569826860f, + 0.429980278822840570f, 0.429287684129534720f, 0.428594836897344400f, + 0.427901737533854240f, + 0.427208386446796370f, 0.426514784044051520f, 0.425820930733648350f, + 0.425126826923762410f, + 0.424432473022717420f, 0.423737869438983950f, 0.423043016581179100f, + 0.422347914858067000f, + 0.421652564678558380f, 0.420956966451709440f, 0.420261120586723050f, + 0.419565027492946940f, + 0.418868687579875110f, 0.418172101257146430f, 0.417475268934544340f, + 0.416778191021997590f, + 0.416080867929579320f, 0.415383300067506290f, 0.414685487846140010f, + 0.413987431675985510f, + 0.413289131967690960f, 0.412590589132048380f, 0.411891803579992220f, + 0.411192775722600160f, + 0.410493505971092520f, 0.409793994736831200f, 0.409094242431320920f, + 0.408394249466208110f, + 0.407694016253280170f, 0.406993543204466460f, 0.406292830731837470f, + 0.405591879247603870f, + 0.404890689164117750f, 0.404189260893870750f, 0.403487594849495310f, + 0.402785691443763640f, + 0.402083551089587040f, 0.401381174200016790f, 0.400678561188243350f, + 0.399975712467595390f, + 0.399272628451540930f, 0.398569309553686360f, 0.397865756187775750f, + 0.397161968767691720f, + 0.396457947707453960f, 0.395753693421220080f, 0.395049206323284880f, + 0.394344486828079650f, + 0.393639535350172880f, 0.392934352304269600f, 0.392228938105210370f, + 0.391523293167972350f, + 0.390817417907668610f, 0.390111312739546910f, 0.389404978078991100f, + 0.388698414341519250f, + 0.387991621942784910f, 0.387284601298575890f, 0.386577352824813980f, + 0.385869876937555310f, + 0.385162174052989970f, 0.384454244587440870f, 0.383746088957365010f, + 0.383037707579352130f, + 0.382329100870124510f, 0.381620269246537520f, 0.380911213125578130f, + 0.380201932924366050f, + 0.379492429060152740f, 0.378782701950320600f, 0.378072752012383990f, + 0.377362579663988450f, + 0.376652185322909620f, 0.375941569407054420f, 0.375230732334460030f, + 0.374519674523293210f, + 0.373808396391851370f, 0.373096898358560690f, 0.372385180841977360f, + 0.371673244260786630f, + 0.370961089033802040f, 0.370248715579966360f, 0.369536124318350760f, + 0.368823315668153960f, + 0.368110290048703050f, 0.367397047879452820f, 0.366683589579984930f, + 0.365969915570008910f, + 0.365256026269360380f, 0.364541922098002180f, 0.363827603476023610f, + 0.363113070823639530f, + 0.362398324561191310f, 0.361683365109145950f, 0.360968192888095290f, + 0.360252808318756830f, + 0.359537211821973180f, 0.358821403818710860f, 0.358105384730061760f, + 0.357389154977241000f, + 0.356672714981588260f, 0.355956065164567010f, 0.355239205947763370f, + 0.354522137752887430f, + 0.353804861001772160f, 0.353087376116372530f, 0.352369683518766630f, + 0.351651783631154680f, + 0.350933676875858360f, 0.350215363675321740f, 0.349496844452109600f, + 0.348778119628908420f, + 0.348059189628525780f, 0.347340054873889190f, 0.346620715788047320f, + 0.345901172794169100f, + 0.345181426315542610f, 0.344461476775576480f, 0.343741324597798600f, + 0.343020970205855540f, + 0.342300414023513690f, 0.341579656474657210f, 0.340858697983289440f, + 0.340137538973531880f, + 0.339416179869623410f, 0.338694621095921190f, 0.337972863076899830f, + 0.337250906237150650f, + 0.336528751001382350f, 0.335806397794420560f, 0.335083847041206580f, + 0.334361099166798900f, + 0.333638154596370920f, 0.332915013755212650f, 0.332191677068729320f, + 0.331468144962440920f, + 0.330744417861982890f, 0.330020496193105530f, 0.329296380381672800f, + 0.328572070853663690f, + 0.327847568035170960f, 0.327122872352400510f, 0.326397984231672660f, + 0.325672904099419900f, + 0.324947632382188430f, 0.324222169506637130f, 0.323496515899536760f, + 0.322770671987770710f, + 0.322044638198334620f, 0.321318414958334910f, 0.320592002694990330f, + 0.319865401835630610f, + 0.319138612807695900f, 0.318411636038737960f, 0.317684471956418020f, + 0.316957120988508150f, + 0.316229583562890490f, 0.315501860107556040f, 0.314773951050606070f, + 0.314045856820250820f, + 0.313317577844809070f, 0.312589114552708660f, 0.311860467372486130f, + 0.311131636732785270f, + 0.310402623062358880f, 0.309673426790066490f, 0.308944048344875710f, + 0.308214488155861220f, + 0.307484746652204160f, 0.306754824263192780f, 0.306024721418221900f, + 0.305294438546791720f, + 0.304563976078509050f, 0.303833334443086470f, 0.303102514070341060f, + 0.302371515390196130f, + 0.301640338832678880f, 0.300908984827921890f, 0.300177453806162120f, + 0.299445746197739950f, + 0.298713862433100390f, 0.297981802942791920f, 0.297249568157465890f, + 0.296517158507877410f, + 0.295784574424884370f, 0.295051816339446720f, 0.294318884682627570f, + 0.293585779885591310f, + 0.292852502379604810f, 0.292119052596036540f, 0.291385430966355720f, + 0.290651637922133220f, + 0.289917673895040860f, 0.289183539316850310f, 0.288449234619434170f, + 0.287714760234765280f, + 0.286980116594915570f, 0.286245304132057120f, 0.285510323278461380f, + 0.284775174466498300f, + 0.284039858128637360f, 0.283304374697445790f, 0.282568724605589740f, + 0.281832908285833460f, + 0.281096926171038320f, 0.280360778694163810f, 0.279624466288266700f, + 0.278887989386500280f, + 0.278151348422115090f, 0.277414543828458200f, 0.276677576038972420f, + 0.275940445487197320f, + 0.275203152606767370f, 0.274465697831413220f, 0.273728081594960650f, + 0.272990304331329980f, + 0.272252366474536660f, 0.271514268458690810f, 0.270776010717996010f, + 0.270037593686750510f, + 0.269299017799346230f, 0.268560283490267890f, 0.267821391194094320f, + 0.267082341345496350f, + 0.266343134379238180f, 0.265603770730176440f, 0.264864250833259320f, + 0.264124575123527490f, + 0.263384744036113390f, 0.262644758006240100f, 0.261904617469222560f, + 0.261164322860466590f, + 0.260423874615468010f, 0.259683273169813930f, 0.258942518959180580f, + 0.258201612419334870f, + 0.257460553986133210f, 0.256719344095520720f, 0.255977983183532380f, + 0.255236471686291820f, + 0.254494810040010790f, 0.253752998680989940f, 0.253011038045617980f, + 0.252268928570370810f, + 0.251526670691812780f, 0.250784264846594550f, 0.250041711471454650f, + 0.249299011003218300f, + 0.248556163878796620f, 0.247813170535187620f, 0.247070031409475370f, + 0.246326746938829060f, + 0.245583317560504000f, 0.244839743711840750f, 0.244096025830264210f, + 0.243352164353284880f, + 0.242608159718496890f, 0.241864012363579210f, 0.241119722726294730f, + 0.240375291244489500f, + 0.239630718356093560f, 0.238886004499120170f, 0.238141150111664870f, + 0.237396155631906550f, + 0.236651021498106460f, 0.235905748148607370f, 0.235160336021834860f, + 0.234414785556295250f, + 0.233669097190576820f, 0.232923271363349120f, 0.232177308513361770f, + 0.231431209079445730f, + 0.230684973500512310f, 0.229938602215552260f, 0.229192095663636740f, + 0.228445454283916550f, + 0.227698678515621170f, 0.226951768798059980f, 0.226204725570620270f, + 0.225457549272768540f, + 0.224710240344049570f, 0.223962799224085520f, 0.223215226352576960f, + 0.222467522169301990f, + 0.221719687114115240f, 0.220971721626949060f, 0.220223626147812460f, + 0.219475401116790340f, + 0.218727046974044600f, 0.217978564159812290f, 0.217229953114406790f, + 0.216481214278216900f, + 0.215732348091705940f, 0.214983354995412820f, 0.214234235429951100f, + 0.213484989836008080f, + 0.212735618654345870f, 0.211986122325800410f, 0.211236501291280710f, + 0.210486755991769890f, + 0.209736886868323370f, 0.208986894362070070f, 0.208236778914211470f, + 0.207486540966020700f, + 0.206736180958843660f, 0.205985699334098050f, 0.205235096533272380f, + 0.204484372997927180f, + 0.203733529169694010f, 0.202982565490274460f, 0.202231482401441620f, + 0.201480280345037820f, + 0.200728959762976140f, 0.199977521097239290f, 0.199225964789878890f, + 0.198474291283016360f, + 0.197722501018842030f, 0.196970594439614370f, 0.196218571987660850f, + 0.195466434105377090f, + 0.194714181235225990f, 0.193961813819739010f, 0.193209332301514080f, + 0.192456737123216840f, + 0.191704028727579940f, 0.190951207557401860f, 0.190198274055548120f, + 0.189445228664950340f, + 0.188692071828605260f, 0.187938803989575850f, 0.187185425590990440f, + 0.186431937076041640f, + 0.185678338887987790f, 0.184924631470150870f, 0.184170815265917720f, + 0.183416890718739230f, + 0.182662858272129360f, 0.181908718369666160f, 0.181154471454990920f, + 0.180400117971807270f, + 0.179645658363882100f, 0.178891093075044830f, 0.178136422549186320f, + 0.177381647230260200f, + 0.176626767562280960f, 0.175871783989325040f, 0.175116696955530060f, + 0.174361506905093830f, + 0.173606214282275410f, 0.172850819531394200f, 0.172095323096829040f, + 0.171339725423019260f, + 0.170584026954463700f, 0.169828228135719880f, 0.169072329411405180f, + 0.168316331226194910f, + 0.167560234024823590f, 0.166804038252083870f, 0.166047744352825850f, + 0.165291352771957970f, + 0.164534863954446110f, 0.163778278345312690f, 0.163021596389637810f, + 0.162264818532558110f, + 0.161507945219266150f, 0.160750976895011390f, 0.159993914005098350f, + 0.159236756994887850f, + 0.158479506309796100f, 0.157722162395293690f, 0.156964725696906750f, + 0.156207196660216040f, + 0.155449575730855880f, 0.154691863354515400f, 0.153934059976937460f, + 0.153176166043917870f, + 0.152418182001306500f, 0.151660108295005400f, 0.150901945370970040f, + 0.150143693675208330f, + 0.149385353653779810f, 0.148626925752796540f, 0.147868410418422360f, + 0.147109808096871850f, + 0.146351119234411440f, 0.145592344277358450f, 0.144833483672080240f, + 0.144074537864995330f, + 0.143315507302571590f, 0.142556392431327340f, 0.141797193697830530f, + 0.141037911548697770f, + 0.140278546430595420f, 0.139519098790238600f, 0.138759569074390380f, + 0.137999957729862760f, + 0.137240265203515700f, 0.136480491942256310f, 0.135720638393040080f, + 0.134960705002868830f, + 0.134200692218792020f, 0.133440600487905820f, 0.132680430257352130f, + 0.131920181974319760f, + 0.131159856086043410f, 0.130399453039802740f, 0.129638973282923540f, + 0.128878417262776660f, + 0.128117785426777150f, 0.127357078222385570f, 0.126596296097105960f, + 0.125835439498487020f, + 0.125074508874121300f, 0.124313504671644300f, 0.123552427338735370f, + 0.122791277323116900f, + 0.122030055072553410f, 0.121268761034852550f, 0.120507395657864240f, + 0.119745959389479630f, + 0.118984452677632520f, 0.118222875970297250f, 0.117461229715489990f, + 0.116699514361267840f, + 0.115937730355727850f, 0.115175878147008180f, 0.114413958183287050f, + 0.113651970912781920f, + 0.112889916783750470f, 0.112127796244489750f, 0.111365609743335190f, + 0.110603357728661910f, + 0.109841040648882680f, 0.109078658952449240f, 0.108316213087851300f, + 0.107553703503615710f, + 0.106791130648307380f, 0.106028494970528530f, 0.105265796918917650f, + 0.104503036942150550f, + 0.103740215488939480f, 0.102977333008032250f, 0.102214389948213370f, + 0.101451386758302160f, + 0.100688323887153970f, 0.099925201783659226f, 0.099162020896742573f, + 0.098398781675363881f, + 0.097635484568517339f, 0.096872130025230527f, 0.096108718494565468f, + 0.095345250425617742f, + 0.094581726267515473f, 0.093818146469420494f, 0.093054511480527333f, + 0.092290821750062355f, + 0.091527077727284981f, 0.090763279861485704f, 0.089999428601987341f, + 0.089235524398144139f, + 0.088471567699340822f, 0.087707558954993645f, 0.086943498614549489f, + 0.086179387127484922f, + 0.085415224943307277f, 0.084651012511553700f, 0.083886750281790226f, + 0.083122438703613077f, + 0.082358078226646619f, 0.081593669300544638f, 0.080829212374989468f, + 0.080064707899690932f, + 0.079300156324387569f, 0.078535558098845590f, 0.077770913672857989f, + 0.077006223496245585f, + 0.076241488018856149f, 0.075476707690563416f, 0.074711882961268378f, + 0.073947014280897269f, + 0.073182102099402888f, 0.072417146866763538f, 0.071652149032982254f, + 0.070887109048087787f, + 0.070122027362133646f, 0.069356904425197236f, 0.068591740687380900f, + 0.067826536598810966f, + 0.067061292609636836f, 0.066296009170032283f, 0.065530686730193397f, + 0.064765325740339871f, + 0.063999926650714078f, 0.063234489911580136f, 0.062469015973224969f, + 0.061703505285957416f, + 0.060937958300107238f, 0.060172375466026218f, 0.059406757234087247f, + 0.058641104054683348f, + 0.057875416378229017f, 0.057109694655158132f, 0.056343939335925283f, + 0.055578150871004817f, + 0.054812329710889909f, 0.054046476306093640f, 0.053280591107148056f, + 0.052514674564603257f, + 0.051748727129028414f, 0.050982749251010900f, 0.050216741381155325f, + 0.049450703970084824f, + 0.048684637468439020f, 0.047918542326875327f, 0.047152418996068000f, + 0.046386267926707213f, + 0.045620089569500123f, 0.044853884375169933f, 0.044087652794454979f, + 0.043321395278109784f, + 0.042555112276904117f, 0.041788804241622082f, 0.041022471623063397f, + 0.040256114872041358f, + 0.039489734439384118f, 0.038723330775933762f, 0.037956904332545366f, + 0.037190455560088091f, + 0.036423984909444228f, 0.035657492831508264f, 0.034890979777187955f, + 0.034124446197403423f, + 0.033357892543086159f, 0.032591319265180385f, 0.031824726814640963f, + 0.031058115642434700f, + 0.030291486199539423f, 0.029524838936943035f, 0.028758174305644590f, + 0.027991492756653365f, + 0.027224794740987910f, 0.026458080709677145f, 0.025691351113759395f, + 0.024924606404281485f, + 0.024157847032300020f, 0.023391073448879338f, 0.022624286105092803f, + 0.021857485452021874f, + 0.021090671940755180f, 0.020323846022389572f, 0.019557008148029204f, + 0.018790158768784596f, + 0.018023298335773701f, 0.017256427300120978f, 0.016489546112956454f, + 0.015722655225417017f, + 0.014955755088644378f, 0.014188846153786343f, 0.013421928871995907f, + 0.012655003694430301f, + 0.011888071072252072f, 0.011121131456628141f, 0.010354185298728884f, + 0.009587233049729183f, + 0.008820275160807512f, 0.008053312083144991f, 0.007286344267926684f, + 0.006519372166339549f, + 0.005752396229573737f, 0.004985416908821652f, 0.004218434655277024f, + 0.003451449920135975f, + 0.002684463154596083f, 0.001917474809855460f, 0.001150485337113809f, + 0.000383495187571497f +}; + +static const float32_t cos_factors_8192[8192] = { + 1.999999990808214700f, 1.999999917273932200f, 1.999999770205369800f, + 1.999999549602533100f, + 1.999999255465430200f, 1.999998887794072000f, 1.999998446588471700f, + 1.999997931848645600f, + 1.999997343574612800f, 1.999996681766395000f, 1.999995946424016200f, + 1.999995137547503600f, + 1.999994255136887000f, 1.999993299192198700f, 1.999992269713474200f, + 1.999991166700750800f, + 1.999989990154069600f, 1.999988740073473500f, 1.999987416459008600f, + 1.999986019310723500f, + 1.999984548628669600f, 1.999983004412901000f, 1.999981386663474400f, + 1.999979695380449400f, + 1.999977930563888100f, 1.999976092213855400f, 1.999974180330418700f, + 1.999972194913648900f, + 1.999970135963618400f, 1.999968003480403000f, 1.999965797464081200f, + 1.999963517914734100f, + 1.999961164832445800f, 1.999958738217302300f, 1.999956238069392900f, + 1.999953664388809800f, + 1.999951017175647600f, 1.999948296430003500f, 1.999945502151977600f, + 1.999942634341672600f, + 1.999939692999193900f, 1.999936678124649700f, 1.999933589718150700f, + 1.999930427779810900f, + 1.999927192309745900f, 1.999923883308075200f, 1.999920500774920300f, + 1.999917044710405500f, + 1.999913515114657900f, 1.999909911987807200f, 1.999906235329986100f, + 1.999902485141329400f, + 1.999898661421975400f, 1.999894764172064600f, 1.999890793391740000f, + 1.999886749081147800f, + 1.999882631240436700f, 1.999878439869758200f, 1.999874174969266300f, + 1.999869836539117700f, + 1.999865424579472000f, 1.999860939090491600f, 1.999856380072341000f, + 1.999851747525188200f, + 1.999847041449203300f, 1.999842261844559700f, 1.999837408711432600f, + 1.999832482050000900f, + 1.999827481860445300f, 1.999822408142949900f, 1.999817260897701400f, + 1.999812040124888700f, + 1.999806745824704000f, 1.999801377997341800f, 1.999795936642999600f, + 1.999790421761877400f, + 1.999784833354177900f, 1.999779171420106700f, 1.999773435959872000f, + 1.999767626973684400f, + 1.999761744461757700f, 1.999755788424308200f, 1.999749758861554900f, + 1.999743655773719400f, + 1.999737479161026100f, 1.999731229023702200f, 1.999724905361977200f, + 1.999718508176084000f, + 1.999712037466257600f, 1.999705493232735800f, 1.999698875475759600f, + 1.999692184195571900f, + 1.999685419392419000f, 1.999678581066549400f, 1.999671669218214600f, + 1.999664683847668800f, + 1.999657624955168700f, 1.999650492540973900f, 1.999643286605346800f, + 1.999636007148552400f, + 1.999628654170857900f, 1.999621227672533800f, 1.999613727653853500f, + 1.999606154115092500f, + 1.999598507056529000f, 1.999590786478444600f, 1.999582992381123000f, + 1.999575124764850800f, + 1.999567183629917100f, 1.999559168976613900f, 1.999551080805236100f, + 1.999542919116081000f, + 1.999534683909448600f, 1.999526375185641800f, 1.999517992944965800f, + 1.999509537187729200f, + 1.999501007914242600f, 1.999492405124819700f, 1.999483728819776900f, + 1.999474978999432800f, + 1.999466155664109600f, 1.999457258814131500f, 1.999448288449825500f, + 1.999439244571521700f, + 1.999430127179552500f, 1.999420936274252800f, 1.999411671855960900f, + 1.999402333925017300f, + 1.999392922481765500f, 1.999383437526551300f, 1.999373879059723500f, + 1.999364247081633500f, + 1.999354541592635500f, 1.999344762593086500f, 1.999334910083345700f, + 1.999324984063775700f, + 1.999314984534741100f, 1.999304911496609700f, 1.999294764949752100f, + 1.999284544894541100f, + 1.999274251331352400f, 1.999263884260564600f, 1.999253443682558900f, + 1.999242929597719200f, + 1.999232342006432000f, 1.999221680909086400f, 1.999210946306074500f, + 1.999200138197791100f, + 1.999189256584633600f, 1.999178301467001900f, 1.999167272845298900f, + 1.999156170719930100f, + 1.999144995091303600f, 1.999133745959830600f, 1.999122423325924200f, + 1.999111027190001000f, + 1.999099557552479900f, 1.999088014413782800f, 1.999076397774334000f, + 1.999064707634560700f, + 1.999052943994892300f, 1.999041106855761900f, 1.999029196217604100f, + 1.999017212080857400f, + 1.999005154445962200f, 1.998993023313361700f, 1.998980818683502100f, + 1.998968540556831800f, + 1.998956188933802800f, 1.998943763814868800f, 1.998931265200486900f, + 1.998918693091116200f, + 1.998906047487219600f, 1.998893328389261400f, 1.998880535797709700f, + 1.998867669713034500f, + 1.998854730135709400f, 1.998841717066209400f, 1.998828630505013400f, + 1.998815470452602400f, + 1.998802236909460500f, 1.998788929876074100f, 1.998775549352932400f, + 1.998762095340527400f, + 1.998748567839354000f, 1.998734966849909000f, 1.998721292372693100f, + 1.998707544408208700f, + 1.998693722956961500f, 1.998679828019459300f, 1.998665859596213500f, + 1.998651817687737300f, + 1.998637702294547000f, 1.998623513417161700f, 1.998609251056103100f, + 1.998594915211895600f, + 1.998580505885066100f, 1.998566023076144600f, 1.998551466785663400f, + 1.998536837014157900f, + 1.998522133762165900f, 1.998507357030227900f, 1.998492506818887200f, + 1.998477583128690100f, + 1.998462585960185000f, 1.998447515313923400f, 1.998432371190459500f, + 1.998417153590349900f, + 1.998401862514154200f, 1.998386497962434800f, 1.998371059935756300f, + 1.998355548434686400f, + 1.998339963459795400f, 1.998324305011656600f, 1.998308573090845200f, + 1.998292767697940100f, + 1.998276888833522300f, 1.998260936498175400f, 1.998244910692486000f, + 1.998228811417043700f, + 1.998212638672439900f, 1.998196392459269400f, 1.998180072778129600f, + 1.998163679629620500f, + 1.998147213014344900f, 1.998130672932908000f, 1.998114059385918400f, + 1.998097372373986300f, + 1.998080611897725700f, 1.998063777957752600f, 1.998046870554686100f, + 1.998029889689147700f, + 1.998012835361761900f, 1.997995707573155600f, 1.997978506323958600f, + 1.997961231614803200f, + 1.997943883446324800f, 1.997926461819161000f, 1.997908966733952500f, + 1.997891398191342400f, + 1.997873756191977000f, 1.997856040736504500f, 1.997838251825576400f, + 1.997820389459846700f, + 1.997802453639972300f, 1.997784444366612600f, 1.997766361640429800f, + 1.997748205462088500f, + 1.997729975832256600f, 1.997711672751604200f, 1.997693296220804000f, + 1.997674846240532000f, + 1.997656322811466500f, 1.997637725934288300f, 1.997619055609681600f, + 1.997600311838332500f, + 1.997581494620930300f, 1.997562603958166600f, 1.997543639850736200f, + 1.997524602299336500f, + 1.997505491304667000f, 1.997486306867430900f, 1.997467048988333000f, + 1.997447717668082000f, + 1.997428312907388200f, 1.997408834706965000f, 1.997389283067528800f, + 1.997369657989798400f, + 1.997349959474495200f, 1.997330187522343700f, 1.997310342134070800f, + 1.997290423310406100f, + 1.997270431052081900f, 1.997250365359833200f, 1.997230226234397900f, + 1.997210013676516700f, + 1.997189727686932400f, 1.997169368266390900f, 1.997148935415640600f, + 1.997128429135433400f, + 1.997107849426522600f, 1.997087196289665000f, 1.997066469725620200f, + 1.997045669735150000f, + 1.997024796319019300f, 1.997003849477995600f, 1.996982829212848900f, + 1.996961735524351900f, + 1.996940568413280600f, 1.996919327880412900f, 1.996898013926530000f, + 1.996876626552415400f, + 1.996855165758855600f, 1.996833631546639300f, 1.996812023916558800f, + 1.996790342869408000f, + 1.996768588405984300f, 1.996746760527087700f, 1.996724859233520500f, + 1.996702884526087900f, + 1.996680836405598100f, 1.996658714872861800f, 1.996636519928692000f, + 1.996614251573904900f, + 1.996591909809319400f, 1.996569494635756600f, 1.996547006054041100f, + 1.996524444064999400f, + 1.996501808669461000f, 1.996479099868258400f, 1.996456317662226300f, + 1.996433462052202600f, + 1.996410533039027400f, 1.996387530623543900f, 1.996364454806597500f, + 1.996341305589037100f, + 1.996318082971713500f, 1.996294786955480800f, 1.996271417541195300f, + 1.996247974729716200f, + 1.996224458521905600f, 1.996200868918628100f, 1.996177205920750800f, + 1.996153469529144100f, + 1.996129659744680300f, 1.996105776568235100f, 1.996081820000686500f, + 1.996057790042915500f, + 1.996033686695805300f, 1.996009509960242400f, 1.995985259837115500f, + 1.995960936327316300f, + 1.995936539431739000f, 1.995912069151280800f, 1.995887525486841300f, + 1.995862908439323100f, + 1.995838218009630800f, 1.995813454198672700f, 1.995788617007359100f, + 1.995763706436603200f, + 1.995738722487320600f, 1.995713665160430600f, 1.995688534456853800f, + 1.995663330377514400f, + 1.995638052923339300f, 1.995612702095257400f, 1.995587277894201400f, + 1.995561780321105600f, + 1.995536209376907600f, 1.995510565062547800f, 1.995484847378968600f, + 1.995459056327116000f, + 1.995433191907938000f, 1.995407254122385700f, 1.995381242971412600f, + 1.995355158455975200f, + 1.995329000577032800f, 1.995302769335546500f, 1.995276464732481200f, + 1.995250086768804100f, + 1.995223635445484900f, 1.995197110763496000f, 1.995170512723813100f, + 1.995143841327413400f, + 1.995117096575278200f, 1.995090278468390600f, 1.995063387007736600f, + 1.995036422194304700f, + 1.995009384029086800f, 1.994982272513076600f, 1.994955087647271000f, + 1.994927829432669800f, + 1.994900497870274900f, 1.994873092961091200f, 1.994845614706126400f, + 1.994818063106391000f, + 1.994790438162897600f, 1.994762739876662100f, 1.994734968248702800f, + 1.994707123280041100f, + 1.994679204971700100f, 1.994651213324707000f, 1.994623148340090700f, + 1.994595010018883000f, + 1.994566798362118300f, 1.994538513370834200f, 1.994510155046070700f, + 1.994481723388870100f, + 1.994453218400277900f, 1.994424640081342100f, 1.994395988433113700f, + 1.994367263456646100f, + 1.994338465152995000f, 1.994309593523219600f, 1.994280648568381500f, + 1.994251630289544600f, + 1.994222538687776100f, 1.994193373764145500f, 1.994164135519725000f, + 1.994134823955589800f, + 1.994105439072817700f, 1.994075980872488800f, 1.994046449355686200f, + 1.994016844523496000f, + 1.993987166377006600f, 1.993957414917308700f, 1.993927590145496900f, + 1.993897692062667200f, + 1.993867720669919400f, 1.993837675968354700f, 1.993807557959078600f, + 1.993777366643197900f, + 1.993747102021822900f, 1.993716764096066200f, 1.993686352867043200f, + 1.993655868335872300f, + 1.993625310503674100f, 1.993594679371572200f, 1.993563974940692800f, + 1.993533197212164800f, + 1.993502346187119700f, 1.993471421866692200f, 1.993440424252018900f, + 1.993409353344239600f, + 1.993378209144496700f, 1.993346991653935300f, 1.993315700873703200f, + 1.993284336804950900f, + 1.993252899448831400f, 1.993221388806500900f, 1.993189804879117500f, + 1.993158147667842800f, + 1.993126417173840500f, 1.993094613398277400f, 1.993062736342323000f, + 1.993030786007148800f, + 1.992998762393930000f, 1.992966665503844000f, 1.992934495338070800f, + 1.992902251897793000f, + 1.992869935184196300f, 1.992837545198469000f, 1.992805081941801700f, + 1.992772545415388200f, + 1.992739935620424700f, 1.992707252558110200f, 1.992674496229646500f, + 1.992641666636237700f, + 1.992608763779091000f, 1.992575787659416100f, 1.992542738278425300f, + 1.992509615637334100f, + 1.992476419737359900f, 1.992443150579723500f, 1.992409808165648100f, + 1.992376392496359300f, + 1.992342903573086000f, 1.992309341397059600f, 1.992275705969513800f, + 1.992241997291685400f, + 1.992208215364813700f, 1.992174360190140900f, 1.992140431768911500f, + 1.992106430102373400f, + 1.992072355191776300f, 1.992038207038373300f, 1.992003985643419700f, + 1.991969691008174100f, + 1.991935323133897000f, 1.991900882021852200f, 1.991866367673306200f, + 1.991831780089527500f, + 1.991797119271788300f, 1.991762385221362600f, 1.991727577939527600f, + 1.991692697427563300f, + 1.991657743686751700f, 1.991622716718378400f, 1.991587616523731000f, + 1.991552443104099800f, + 1.991517196460778500f, 1.991481876595062800f, 1.991446483508251500f, + 1.991411017201645500f, + 1.991375477676549100f, 1.991339864934268800f, 1.991304178976114100f, + 1.991268419803397200f, + 1.991232587417432600f, 1.991196681819537900f, 1.991160703011033200f, + 1.991124650993241400f, + 1.991088525767488200f, 1.991052327335101300f, 1.991016055697411900f, + 1.990979710855753900f, + 1.990943292811463000f, 1.990906801565878600f, 1.990870237120342400f, + 1.990833599476198800f, + 1.990796888634794400f, 1.990760104597479400f, 1.990723247365606200f, + 1.990686316940529800f, + 1.990649313323608100f, 1.990612236516201300f, 1.990575086519673200f, + 1.990537863335389400f, + 1.990500566964718400f, 1.990463197409031700f, 1.990425754669703100f, + 1.990388238748109100f, + 1.990350649645629600f, 1.990312987363646000f, 1.990275251903543600f, + 1.990237443266709400f, + 1.990199561454533600f, 1.990161606468409300f, 1.990123578309731700f, + 1.990085476979899000f, + 1.990047302480312300f, 1.990009054812374800f, 1.989970733977493000f, + 1.989932339977075900f, + 1.989893872812535000f, 1.989855332485284800f, 1.989816718996742200f, + 1.989778032348326700f, + 1.989739272541461100f, 1.989700439577570400f, 1.989661533458082100f, + 1.989622554184426800f, + 1.989583501758037700f, 1.989544376180350600f, 1.989505177452804100f, + 1.989465905576839600f, + 1.989426560553900500f, 1.989387142385433900f, 1.989347651072888900f, + 1.989308086617717500f, + 1.989268449021374300f, 1.989228738285316900f, 1.989188954411005100f, + 1.989149097399901500f, + 1.989109167253472000f, 1.989069163973184300f, 1.989029087560509700f, + 1.988988938016921000f, + 1.988948715343894900f, 1.988908419542910100f, 1.988868050615448100f, + 1.988827608562993200f, + 1.988787093387032600f, 1.988746505089055600f, 1.988705843670554500f, + 1.988665109133024500f, + 1.988624301477963200f, 1.988583420706871100f, 1.988542466821251000f, + 1.988501439822608900f, + 1.988460339712453200f, 1.988419166492295000f, 1.988377920163648000f, + 1.988336600728029000f, + 1.988295208186956700f, 1.988253742541953800f, 1.988212203794544000f, + 1.988170591946255100f, + 1.988128906998616800f, 1.988087148953161700f, 1.988045317811425700f, + 1.988003413574946000f, + 1.987961436245263800f, 1.987919385823922400f, 1.987877262312467600f, + 1.987835065712448600f, + 1.987792796025416500f, 1.987750453252925500f, 1.987708037396532800f, + 1.987665548457797400f, + 1.987622986438281700f, 1.987580351339550700f, 1.987537643163171700f, + 1.987494861910715100f, + 1.987452007583754100f, 1.987409080183863800f, 1.987366079712622900f, + 1.987323006171612500f, + 1.987279859562415900f, 1.987236639886619700f, 1.987193347145813000f, + 1.987149981341587400f, + 1.987106542475537400f, 1.987063030549260300f, 1.987019445564355700f, + 1.986975787522426100f, + 1.986932056425076800f, 1.986888252273915500f, 1.986844375070552900f, + 1.986800424816602200f, + 1.986756401513679400f, 1.986712305163403000f, 1.986668135767394300f, + 1.986623893327277500f, + 1.986579577844678900f, 1.986535189321228000f, 1.986490727758556800f, + 1.986446193158300400f, + 1.986401585522095600f, 1.986356904851583000f, 1.986312151148405200f, + 1.986267324414207500f, + 1.986222424650638400f, 1.986177451859348200f, 1.986132406041990900f, + 1.986087287200222700f, + 1.986042095335702300f, 1.985996830450091200f, 1.985951492545054100f, + 1.985906081622257300f, + 1.985860597683371000f, 1.985815040730067200f, 1.985769410764020900f, + 1.985723707786909900f, + 1.985677931800414500f, 1.985632082806217900f, 1.985586160806005700f, + 1.985540165801466200f, + 1.985494097794290800f, 1.985447956786173100f, 1.985401742778809500f, + 1.985355455773899500f, + 1.985309095773144500f, 1.985262662778249300f, 1.985216156790921000f, + 1.985169577812869500f, + 1.985122925845807400f, 1.985076200891450000f, 1.985029402951515200f, + 1.984982532027723700f, + 1.984935588121798700f, 1.984888571235466200f, 1.984841481370454900f, + 1.984794318528496200f, + 1.984747082711324100f, 1.984699773920675300f, 1.984652392158289500f, + 1.984604937425908300f, + 1.984557409725276700f, 1.984509809058142300f, 1.984462135426255000f, + 1.984414388831367900f, + 1.984366569275236400f, 1.984318676759618400f, 1.984270711286275200f, + 1.984222672856969800f, + 1.984174561473469200f, 1.984126377137541700f, 1.984078119850959200f, + 1.984029789615495900f, + 1.983981386432928800f, 1.983932910305037400f, 1.983884361233604100f, + 1.983835739220414000f, + 1.983787044267254700f, 1.983738276375916800f, 1.983689435548192900f, + 1.983640521785879200f, + 1.983591535090773800f, 1.983542475464678000f, 1.983493342909395500f, + 1.983444137426732600f, + 1.983394859018498900f, 1.983345507686505900f, 1.983296083432567900f, + 1.983246586258502700f, + 1.983197016166129400f, 1.983147373157271300f, 1.983097657233753100f, + 1.983047868397403100f, + 1.982998006650051400f, 1.982948071993531700f, 1.982898064429679900f, + 1.982847983960334600f, + 1.982797830587336800f, 1.982747604312531200f, 1.982697305137763700f, + 1.982646933064884200f, + 1.982596488095744300f, 1.982545970232199000f, 1.982495379476105800f, + 1.982444715829324600f, + 1.982393979293718200f, 1.982343169871152000f, 1.982292287563494300f, + 1.982241332372615600f, + 1.982190304300389400f, 1.982139203348692200f, 1.982088029519402300f, + 1.982036782814401900f, + 1.981985463235574700f, 1.981934070784807400f, 1.981882605463990200f, + 1.981831067275015000f, + 1.981779456219776600f, 1.981727772300172500f, 1.981676015518103500f, + 1.981624185875472000f, + 1.981572283374183800f, 1.981520308016147200f, 1.981468259803273300f, + 1.981416138737475800f, + 1.981363944820670800f, 1.981311678054777500f, 1.981259338441717400f, + 1.981206925983415300f, + 1.981154440681797800f, 1.981101882538794900f, 1.981049251556338900f, + 1.980996547736364900f, + 1.980943771080810700f, 1.980890921591616600f, 1.980837999270726100f, + 1.980785004120084700f, + 1.980731936141640900f, 1.980678795337345900f, 1.980625581709153600f, + 1.980572295259020600f, + 1.980518935988905700f, 1.980465503900771000f, 1.980411998996581200f, + 1.980358421278303200f, + 1.980304770747907300f, 1.980251047407365600f, 1.980197251258653900f, + 1.980143382303749500f, + 1.980089440544633600f, 1.980035425983289300f, 1.979981338621702200f, + 1.979927178461861500f, + 1.979872945505758000f, 1.979818639755386100f, 1.979764261212742400f, + 1.979709809879825800f, + 1.979655285758638900f, 1.979600688851186100f, 1.979546019159474900f, + 1.979491276685515300f, + 1.979436461431320000f, 1.979381573398904400f, 1.979326612590286400f, + 1.979271579007487100f, + 1.979216472652529900f, 1.979161293527440500f, 1.979106041634248100f, + 1.979050716974983800f, + 1.978995319551682100f, 1.978939849366379700f, 1.978884306421115900f, + 1.978828690717932900f, + 1.978773002258875600f, 1.978717241045991700f, 1.978661407081331100f, + 1.978605500366946700f, + 1.978549520904894000f, 1.978493468697231300f, 1.978437343746019600f, + 1.978381146053322000f, + 1.978324875621205300f, 1.978268532451738200f, 1.978212116546992100f, + 1.978155627909041300f, + 1.978099066539962900f, 1.978042432441836400f, 1.977985725616743900f, + 1.977928946066770600f, + 1.977872093794004200f, 1.977815168800534500f, 1.977758171088455100f, + 1.977701100659861300f, + 1.977643957516851400f, 1.977586741661526500f, 1.977529453095990200f, + 1.977472091822348700f, + 1.977414657842711200f, 1.977357151159189400f, 1.977299571773897700f, + 1.977241919688953000f, + 1.977184194906475000f, 1.977126397428586000f, 1.977068527257411300f, + 1.977010584395078300f, + 1.976952568843717700f, 1.976894480605462500f, 1.976836319682448300f, + 1.976778086076813600f, + 1.976719779790699500f, 1.976661400826249500f, 1.976602949185610500f, + 1.976544424870931400f, + 1.976485827884363800f, 1.976427158228062100f, 1.976368415904183900f, + 1.976309600914888400f, + 1.976250713262338600f, 1.976191752948699200f, 1.976132719976138000f, + 1.976073614346825800f, + 1.976014436062935700f, 1.975955185126643300f, 1.975895861540127200f, + 1.975836465305568400f, + 1.975776996425151000f, 1.975717454901061400f, 1.975657840735488800f, + 1.975598153930624900f, + 1.975538394488664200f, 1.975478562411804100f, 1.975418657702244300f, + 1.975358680362187400f, + 1.975298630393838500f, 1.975238507799405500f, 1.975178312581099100f, + 1.975118044741132300f, + 1.975057704281721000f, 1.974997291205083700f, 1.974936805513442000f, + 1.974876247209019100f, + 1.974815616294042200f, 1.974754912770740200f, 1.974694136641345300f, + 1.974633287908091500f, + 1.974572366573216400f, 1.974511372638960000f, 1.974450306107564900f, + 1.974389166981275900f, + 1.974327955262341400f, 1.974266670953011400f, 1.974205314055540000f, + 1.974143884572182400f, + 1.974082382505197400f, 1.974020807856846400f, 1.973959160629393100f, + 1.973897440825104200f, + 1.973835648446248900f, 1.973773783495099500f, 1.973711845973930000f, + 1.973649835885018100f, + 1.973587753230643400f, 1.973525598013088800f, 1.973463370234639600f, + 1.973401069897583200f, + 1.973338697004211100f, 1.973276251556815600f, 1.973213733557693400f, + 1.973151143009142800f, + 1.973088479913465100f, 1.973025744272964200f, 1.972962936089946800f, + 1.972900055366722000f, + 1.972837102105601900f, 1.972774076308901200f, 1.972710977978936900f, + 1.972647807118029300f, + 1.972584563728500700f, 1.972521247812676600f, 1.972457859372884500f, + 1.972394398411455800f, + 1.972330864930723200f, 1.972267258933022600f, 1.972203580420693000f, + 1.972139829396075200f, + 1.972076005861513700f, 1.972012109819354600f, 1.971948141271947500f, + 1.971884100221644300f, + 1.971819986670799500f, 1.971755800621770400f, 1.971691542076916800f, + 1.971627211038601500f, + 1.971562807509189800f, 1.971498331491049700f, 1.971433782986551400f, + 1.971369161998068400f, + 1.971304468527976800f, 1.971239702578655000f, 1.971174864152484400f, + 1.971109953251848600f, + 1.971044969879134600f, 1.970979914036731500f, 1.970914785727030800f, + 1.970849584952427900f, + 1.970784311715319400f, 1.970718966018105500f, 1.970653547863188600f, + 1.970588057252973900f, + 1.970522494189869800f, 1.970456858676286300f, 1.970391150714636800f, + 1.970325370307337100f, + 1.970259517456806100f, 1.970193592165464700f, 1.970127594435737000f, + 1.970061524270049400f, + 1.969995381670831100f, 1.969929166640514100f, 1.969862879181532700f, + 1.969796519296324300f, + 1.969730086987328900f, 1.969663582256988600f, 1.969597005107748900f, + 1.969530355542057800f, + 1.969463633562365400f, 1.969396839171125200f, 1.969329972370792700f, + 1.969263033163826800f, + 1.969196021552688500f, 1.969128937539841500f, 1.969061781127752400f, + 1.968994552318890300f, + 1.968927251115727200f, 1.968859877520737300f, 1.968792431536398000f, + 1.968724913165188900f, + 1.968657322409592500f, 1.968589659272094000f, 1.968521923755181000f, + 1.968454115861344000f, + 1.968386235593076300f, 1.968318282952873600f, 1.968250257943234200f, + 1.968182160566659000f, + 1.968113990825652200f, 1.968045748722719900f, 1.967977434260371300f, + 1.967909047441118100f, + 1.967840588267474500f, 1.967772056741957900f, 1.967703452867087800f, + 1.967634776645386600f, + 1.967566028079379200f, 1.967497207171593500f, 1.967428313924559600f, + 1.967359348340810700f, + 1.967290310422882700f, 1.967221200173313400f, 1.967152017594644200f, + 1.967082762689418500f, + 1.967013435460182700f, 1.966944035909485600f, 1.966874564039879300f, + 1.966805019853917500f, + 1.966735403354157500f, 1.966665714543159000f, 1.966595953423483800f, + 1.966526119997697100f, + 1.966456214268366600f, 1.966386236238062200f, 1.966316185909357200f, + 1.966246063284826700f, + 1.966175868367049400f, 1.966105601158605600f, 1.966035261662079300f, + 1.965964849880056600f, + 1.965894365815126000f, 1.965823809469879400f, 1.965753180846910900f, + 1.965682479948817100f, + 1.965611706778197700f, 1.965540861337654600f, 1.965469943629792700f, + 1.965398953657219600f, + 1.965327891422544900f, 1.965256756928382100f, 1.965185550177345900f, + 1.965114271172054800f, + 1.965042919915129400f, 1.964971496409193100f, 1.964900000656872000f, + 1.964828432660794500f, + 1.964756792423592200f, 1.964685079947899200f, 1.964613295236352000f, + 1.964541438291590000f, + 1.964469509116255000f, 1.964397507712991800f, 1.964325434084447600f, + 1.964253288233272400f, + 1.964181070162119000f, 1.964108779873642100f, 1.964036417370500300f, + 1.963963982655353400f, + 1.963891475730865400f, 1.963818896599701400f, 1.963746245264530700f, + 1.963673521728023900f, + 1.963600725992855200f, 1.963527858061700600f, 1.963454917937239800f, + 1.963381905622154400f, + 1.963308821119128700f, 1.963235664430850200f, 1.963162435560008100f, + 1.963089134509295300f, + 1.963015761281406800f, 1.962942315879040000f, 1.962868798304895400f, + 1.962795208561676200f, + 1.962721546652088200f, 1.962647812578839400f, 1.962574006344640900f, + 1.962500127952206300f, + 1.962426177404252200f, 1.962352154703497200f, 1.962278059852663000f, + 1.962203892854473800f, + 1.962129653711656800f, 1.962055342426941400f, 1.961980959003059500f, + 1.961906503442746300f, + 1.961831975748739200f, 1.961757375923778700f, 1.961682703970607100f, + 1.961607959891970200f, + 1.961533143690616000f, 1.961458255369295400f, 1.961383294930761700f, + 1.961308262377770900f, + 1.961233157713082200f, 1.961157980939456400f, 1.961082732059657800f, + 1.961007411076453000f, + 1.960932017992611500f, 1.960856552810905200f, 1.960781015534108800f, + 1.960705406164999300f, + 1.960629724706357100f, 1.960553971160964500f, 1.960478145531606700f, + 1.960402247821071900f, + 1.960326278032150200f, 1.960250236167635100f, 1.960174122230322400f, + 1.960097936223010400f, + 1.960021678148500500f, 1.959945348009596500f, 1.959868945809104500f, + 1.959792471549834000f, + 1.959715925234596600f, 1.959639306866206600f, 1.959562616447480900f, + 1.959485853981239600f, + 1.959409019470304700f, 1.959332112917501400f, 1.959255134325657000f, + 1.959178083697602300f, + 1.959100961036169800f, 1.959023766344195200f, 1.958946499624516700f, + 1.958869160879975500f, + 1.958791750113414700f, 1.958714267327680500f, 1.958636712525621900f, + 1.958559085710090500f, + 1.958481386883940100f, 1.958403616050027600f, 1.958325773211212300f, + 1.958247858370356400f, + 1.958169871530324600f, 1.958091812693984400f, 1.958013681864205500f, + 1.957935479043860600f, + 1.957857204235825100f, 1.957778857442976900f, 1.957700438668196700f, + 1.957621947914367500f, + 1.957543385184375300f, 1.957464750481108700f, 1.957386043807458800f, + 1.957307265166319500f, + 1.957228414560587200f, 1.957149491993160900f, 1.957070497466942400f, + 1.956991430984836400f, + 1.956912292549749500f, 1.956833082164591600f, 1.956753799832275300f, + 1.956674445555715000f, + 1.956595019337829000f, 1.956515521181537000f, 1.956435951089762200f, + 1.956356309065430100f, + 1.956276595111468900f, 1.956196809230809500f, 1.956116951426385600f, + 1.956037021701132900f, + 1.955957020057990500f, 1.955876946499899700f, 1.955796801029804800f, + 1.955716583650652000f, + 1.955636294365391300f, 1.955555933176974300f, 1.955475500088355900f, + 1.955394995102493100f, + 1.955314418222346100f, 1.955233769450877200f, 1.955153048791052000f, + 1.955072256245838000f, + 1.954991391818206000f, 1.954910455511129000f, 1.954829447327582900f, + 1.954748367270545900f, + 1.954667215342999600f, 1.954585991547927100f, 1.954504695888315000f, + 1.954423328367152600f, + 1.954341888987431100f, 1.954260377752145000f, 1.954178794664291200f, + 1.954097139726869600f, + 1.954015412942881900f, 1.953933614315333200f, 1.953851743847231100f, + 1.953769801541585400f, + 1.953687787401409400f, 1.953605701429718100f, 1.953523543629529700f, + 1.953441314003864900f, + 1.953359012555747200f, 1.953276639288202400f, 1.953194194204259200f, + 1.953111677306948800f, + 1.953029088599305100f, 1.952946428084364900f, 1.952863695765167100f, + 1.952780891644753500f, + 1.952698015726169100f, 1.952615068012460300f, 1.952532048506677300f, + 1.952448957211872200f, + 1.952365794131100300f, 1.952282559267419100f, 1.952199252623889200f, + 1.952115874203572900f, + 1.952032424009536600f, 1.951948902044847900f, 1.951865308312577900f, + 1.951781642815800100f, + 1.951697905557590700f, 1.951614096541028500f, 1.951530215769194700f, + 1.951446263245173500f, + 1.951362238972051500f, 1.951278142952918200f, 1.951193975190865600f, + 1.951109735688987900f, + 1.951025424450382900f, 1.950941041478150100f, 1.950856586775392200f, + 1.950772060345214300f, + 1.950687462190724200f, 1.950602792315032200f, 1.950518050721251600f, + 1.950433237412498000f, + 1.950348352391889600f, 1.950263395662547700f, 1.950178367227595900f, + 1.950093267090159800f, + 1.950008095253369200f, 1.949922851720355100f, 1.949837536494251700f, + 1.949752149578196000f, + 1.949666690975327100f, 1.949581160688787400f, 1.949495558721721500f, + 1.949409885077276500f, + 1.949324139758602700f, 1.949238322768852800f, 1.949152434111181700f, + 1.949066473788747300f, + 1.948980441804710300f, 1.948894338162233900f, 1.948808162864483600f, + 1.948721915914628100f, + 1.948635597315838200f, 1.948549207071288000f, 1.948462745184153400f, + 1.948376211657613500f, + 1.948289606494849800f, 1.948202929699046800f, 1.948116181273391100f, + 1.948029361221072400f, + 1.947942469545282500f, 1.947855506249216700f, 1.947768471336071700f, + 1.947681364809048100f, + 1.947594186671348000f, 1.947506936926177300f, 1.947419615576743600f, + 1.947332222626257500f, + 1.947244758077932200f, 1.947157221934983500f, 1.947069614200629900f, + 1.946981934878092300f, + 1.946894183970594900f, 1.946806361481363500f, 1.946718467413627300f, + 1.946630501770618000f, + 1.946542464555569800f, 1.946454355771719300f, 1.946366175422306500f, + 1.946277923510573200f, + 1.946189600039764300f, 1.946101205013127000f, 1.946012738433911600f, + 1.945924200305370700f, + 1.945835590630759400f, 1.945746909413335900f, 1.945658156656360700f, + 1.945569332363096700f, + 1.945480436536810100f, 1.945391469180769200f, 1.945302430298244900f, + 1.945213319892511200f, + 1.945124137966844200f, 1.945034884524523100f, 1.944945559568829200f, + 1.944856163103046800f, + 1.944766695130463000f, 1.944677155654366900f, 1.944587544678050900f, + 1.944497862204809900f, + 1.944408108237940700f, 1.944318282780743900f, 1.944228385836521700f, + 1.944138417408579400f, + 1.944048377500225100f, 1.943958266114769200f, 1.943868083255524800f, + 1.943777828925807600f, + 1.943687503128936200f, 1.943597105868231500f, 1.943506637147017300f, + 1.943416096968619400f, + 1.943325485336367300f, 1.943234802253592400f, 1.943144047723628400f, + 1.943053221749812400f, + 1.942962324335484100f, 1.942871355483985200f, 1.942780315198660200f, + 1.942689203482856900f, + 1.942598020339924700f, 1.942506765773216500f, 1.942415439786087300f, + 1.942324042381895000f, + 1.942232573564000000f, 1.942141033335765400f, 1.942049421700556600f, + 1.941957738661741900f, + 1.941865984222692900f, 1.941774158386782200f, 1.941682261157386700f, + 1.941590292537884700f, + 1.941498252531658200f, 1.941406141142090600f, 1.941313958372568900f, + 1.941221704226482500f, + 1.941129378707223000f, 1.941036981818185400f, 1.940944513562766300f, + 1.940851973944365900f, + 1.940759362966386600f, 1.940666680632233200f, 1.940573926945313700f, + 1.940481101909038200f, + 1.940388205526819600f, 1.940295237802073500f, 1.940202198738217900f, + 1.940109088338673600f, + 1.940015906606864300f, 1.939922653546215500f, 1.939829329160156500f, + 1.939735933452118000f, + 1.939642466425534300f, 1.939548928083841800f, 1.939455318430479500f, + 1.939361637468889100f, + 1.939267885202515400f, 1.939174061634805000f, 1.939080166769207700f, + 1.938986200609175600f, + 1.938892163158163700f, 1.938798054419629500f, 1.938703874397032800f, + 1.938609623093837000f, + 1.938515300513506700f, 1.938420906659510600f, 1.938326441535318500f, + 1.938231905144404400f, + 1.938137297490243500f, 1.938042618576314400f, 1.937947868406098500f, + 1.937853046983079300f, + 1.937758154310742900f, 1.937663190392578500f, 1.937568155232077600f, + 1.937473048832734500f, + 1.937377871198045600f, 1.937282622331510500f, 1.937187302236631500f, + 1.937091910916912900f, + 1.936996448375861900f, 1.936900914616988900f, 1.936805309643805800f, + 1.936709633459828200f, + 1.936613886068573500f, 1.936518067473562300f, 1.936422177678317300f, + 1.936326216686364400f, + 1.936230184501231500f, 1.936134081126449800f, 1.936037906565552400f, + 1.935941660822075600f, + 1.935845343899558000f, 1.935748955801540800f, 1.935652496531568000f, + 1.935555966093186300f, + 1.935459364489944500f, 1.935362691725394500f, 1.935265947803090900f, + 1.935169132726590500f, + 1.935072246499453000f, 1.934975289125240500f, 1.934878260607517900f, + 1.934781160949852600f, + 1.934683990155814800f, 1.934586748228977100f, 1.934489435172914900f, + 1.934392050991206300f, + 1.934294595687431300f, 1.934197069265173500f, 1.934099471728018700f, + 1.934001803079554700f, + 1.933904063323373300f, 1.933806252463067500f, 1.933708370502233800f, + 1.933610417444471000f, + 1.933512393293380600f, 1.933414298052566600f, 1.933316131725635800f, + 1.933217894316197300f, + 1.933119585827862900f, 1.933021206264247600f, 1.932922755628968100f, + 1.932824233925644300f, + 1.932725641157898600f, 1.932626977329356100f, 1.932528242443643900f, + 1.932429436504392800f, + 1.932330559515235100f, 1.932231611479806800f, 1.932132592401745400f, + 1.932033502284691700f, + 1.931934341132289100f, 1.931835108948183300f, 1.931735805736022800f, + 1.931636431499459000f, + 1.931536986242145200f, 1.931437469967737900f, 1.931337882679895900f, + 1.931238224382281000f, + 1.931138495078557300f, 1.931038694772391200f, 1.930938823467452500f, + 1.930838881167413100f, + 1.930738867875947400f, 1.930638783596732700f, 1.930538628333448900f, + 1.930438402089778200f, + 1.930338104869405900f, 1.930237736676019500f, 1.930137297513309300f, + 1.930036787384968200f, + 1.929936206294691400f, 1.929835554246177400f, 1.929734831243126600f, + 1.929634037289242400f, + 1.929533172388230700f, 1.929432236543799900f, 1.929331229759661200f, + 1.929230152039528500f, + 1.929129003387117800f, 1.929027783806148300f, 1.928926493300341400f, + 1.928825131873421500f, + 1.928723699529115000f, 1.928622196271151800f, 1.928520622103263400f, + 1.928418977029184600f, + 1.928317261052652700f, 1.928215474177407100f, 1.928113616407190600f, + 1.928011687745748300f, + 1.927909688196827400f, 1.927807617764178300f, 1.927705476451554000f, + 1.927603264262709900f, + 1.927500981201404100f, 1.927398627271397000f, 1.927296202476451900f, + 1.927193706820335100f, + 1.927091140306814500f, 1.926988502939661400f, 1.926885794722649600f, + 1.926783015659555300f, + 1.926680165754157500f, 1.926577245010237400f, 1.926474253431579500f, + 1.926371191021970100f, + 1.926268057785198700f, 1.926164853725057300f, 1.926061578845340600f, + 1.925958233149845000f, + 1.925854816642371000f, 1.925751329326720600f, 1.925647771206698600f, + 1.925544142286112800f, + 1.925440442568773000f, 1.925336672058492300f, 1.925232830759086000f, + 1.925128918674371900f, + 1.925024935808170600f, 1.924920882164305300f, 1.924816757746601800f, + 1.924712562558888100f, + 1.924608296604995800f, 1.924503959888757900f, 1.924399552414010700f, + 1.924295074184593000f, + 1.924190525204346300f, 1.924085905477114400f, 1.923981215006744100f, + 1.923876453797084300f, + 1.923771621851986700f, 1.923666719175306100f, 1.923561745770898900f, + 1.923456701642625200f, + 1.923351586794346900f, 1.923246401229928600f, 1.923141144953238300f, + 1.923035817968145300f, + 1.922930420278522500f, 1.922824951888245000f, 1.922719412801190600f, + 1.922613803021239600f, + 1.922508122552275100f, 1.922402371398182600f, 1.922296549562850100f, + 1.922190657050168800f, + 1.922084693864031700f, 1.921978660008334600f, 1.921872555486976700f, + 1.921766380303858500f, + 1.921660134462884100f, 1.921553817967959900f, 1.921447430822994500f, + 1.921340973031900000f, + 1.921234444598590100f, 1.921127845526981600f, 1.921021175820994100f, + 1.920914435484549100f, + 1.920807624521571700f, 1.920700742935988600f, 1.920593790731729600f, + 1.920486767912727300f, + 1.920379674482916500f, 1.920272510446234400f, 1.920165275806621400f, + 1.920057970568020100f, + 1.919950594734376000f, 1.919843148309637000f, 1.919735631297753400f, + 1.919628043702678300f, + 1.919520385528367300f, 1.919412656778779000f, 1.919304857457874200f, + 1.919196987569616200f, + 1.919089047117971100f, 1.918981036106907700f, 1.918872954540397300f, + 1.918764802422413500f, + 1.918656579756932800f, 1.918548286547934400f, 1.918439922799399800f, + 1.918331488515313300f, + 1.918222983699661600f, 1.918114408356434300f, 1.918005762489623400f, + 1.917897046103223200f, + 1.917788259201231200f, 1.917679401787647100f, 1.917570473866473200f, + 1.917461475441714500f, + 1.917352406517378600f, 1.917243267097475700f, 1.917134057186018300f, + 1.917024776787022100f, + 1.916915425904504700f, 1.916806004542486800f, 1.916696512704991500f, + 1.916586950396044400f, + 1.916477317619674100f, 1.916367614379911100f, 1.916257840680788900f, + 1.916147996526343700f, + 1.916038081920614400f, 1.915928096867641800f, 1.915818041371470000f, + 1.915707915436145200f, + 1.915597719065716700f, 1.915487452264236000f, 1.915377115035757200f, + 1.915266707384337200f, + 1.915156229314035200f, 1.915045680828913400f, 1.914935061933036300f, + 1.914824372630470800f, + 1.914713612925287100f, 1.914602782821557000f, 1.914491882323355700f, + 1.914380911434760500f, + 1.914269870159851700f, 1.914158758502712000f, 1.914047576467426500f, + 1.913936324058083100f, + 1.913825001278772100f, 1.913713608133586600f, 1.913602144626622500f, + 1.913490610761977600f, + 1.913379006543752800f, 1.913267331976051400f, 1.913155587062979500f, + 1.913043771808645700f, + 1.912931886217160900f, 1.912819930292639000f, 1.912707904039196300f, + 1.912595807460951500f, + 1.912483640562026200f, 1.912371403346544400f, 1.912259095818632700f, + 1.912146717982420500f, + 1.912034269842039600f, 1.911921751401624200f, 1.911809162665311500f, + 1.911696503637241100f, + 1.911583774321554700f, 1.911470974722397500f, 1.911358104843916500f, + 1.911245164690262000f, + 1.911132154265586100f, 1.911019073574044200f, 1.910905922619793800f, + 1.910792701406995000f, + 1.910679409939810600f, 1.910566048222406300f, 1.910452616258949900f, + 1.910339114053611900f, + 1.910225541610565800f, 1.910111898933986900f, 1.909998186028053700f, + 1.909884402896947100f, + 1.909770549544850500f, 1.909656625975950200f, 1.909542632194434700f, + 1.909428568204495100f, + 1.909314434010325400f, 1.909200229616121700f, 1.909085955026083200f, + 1.908971610244411600f, + 1.908857195275310800f, 1.908742710122987700f, 1.908628154791651300f, + 1.908513529285513500f, + 1.908398833608789100f, 1.908284067765694900f, 1.908169231760450400f, + 1.908054325597278200f, + 1.907939349280402400f, 1.907824302814050900f, 1.907709186202453600f, + 1.907593999449842800f, + 1.907478742560453600f, 1.907363415538523700f, 1.907248018388293400f, + 1.907132551114005600f, + 1.907017013719905600f, 1.906901406210241200f, 1.906785728589263300f, + 1.906669980861224900f, + 1.906554163030381500f, 1.906438275100991600f, 1.906322317077316300f, + 1.906206288963618700f, + 1.906090190764164700f, 1.905974022483223300f, 1.905857784125065500f, + 1.905741475693964800f, + 1.905625097194197900f, 1.905508648630043700f, 1.905392130005783400f, + 1.905275541325701400f, + 1.905158882594083900f, 1.905042153815220700f, 1.904925354993402900f, + 1.904808486132925300f, + 1.904691547238084800f, 1.904574538313180700f, 1.904457459362515200f, + 1.904340310390393100f, + 1.904223091401121600f, 1.904105802399010300f, 1.903988443388371600f, + 1.903871014373520700f, + 1.903753515358774800f, 1.903635946348454500f, 1.903518307346881800f, + 1.903400598358382600f, + 1.903282819387284200f, 1.903164970437917400f, 1.903047051514615000f, + 1.902929062621712600f, + 1.902811003763547900f, 1.902692874944462300f, 1.902574676168798700f, + 1.902456407440902700f, + 1.902338068765123200f, 1.902219660145810800f, 1.902101181587319000f, + 1.901982633094004200f, + 1.901864014670225000f, 1.901745326320342500f, 1.901626568048721000f, + 1.901507739859726200f, + 1.901388841757727600f, 1.901269873747096600f, 1.901150835832207100f, + 1.901031728017436300f, + 1.900912550307162700f, 1.900793302705768900f, 1.900673985217638900f, + 1.900554597847159400f, + 1.900435140598720500f, 1.900315613476714100f, 1.900196016485534700f, + 1.900076349629579600f, + 1.899956612913248800f, 1.899836806340944300f, 1.899716929917071500f, + 1.899596983646037600f, + 1.899476967532252900f, 1.899356881580129800f, 1.899236725794083600f, + 1.899116500178532200f, + 1.898996204737895900f, 1.898875839476597700f, 1.898755404399062900f, + 1.898634899509719500f, + 1.898514324812998300f, 1.898393680313332600f, 1.898272966015157800f, + 1.898152181922912600f, + 1.898031328041037700f, 1.897910404373976500f, 1.897789410926175000f, + 1.897668347702081900f, + 1.897547214706148300f, 1.897426011942827900f, 1.897304739416577200f, + 1.897183397131854600f, + 1.897061985093121800f, 1.896940503304842800f, 1.896818951771484000f, + 1.896697330497514800f, + 1.896575639487406300f, 1.896453878745633100f, 1.896332048276672100f, + 1.896210148085002400f, + 1.896088178175106200f, 1.895966138551467700f, 1.895844029218574100f, + 1.895721850180915000f, + 1.895599601442982600f, 1.895477283009271400f, 1.895354894884279100f, + 1.895232437072505300f, + 1.895109909578452500f, 1.894987312406625700f, 1.894864645561532100f, + 1.894741909047682500f, + 1.894619102869589100f, 1.894496227031767100f, 1.894373281538734400f, + 1.894250266395011600f, + 1.894127181605121100f, 1.894004027173588700f, 1.893880803104942600f, + 1.893757509403713100f, + 1.893634146074433500f, 1.893510713121639300f, 1.893387210549869000f, + 1.893263638363663400f, + 1.893139996567565900f, 1.893016285166122500f, 1.892892504163881600f, + 1.892768653565394300f, + 1.892644733375214300f, 1.892520743597897700f, 1.892396684238003300f, + 1.892272555300092300f, + 1.892148356788728700f, 1.892024088708479200f, 1.891899751063912200f, + 1.891775343859599400f, + 1.891650867100115300f, 1.891526320790036100f, 1.891401704933941100f, + 1.891277019536412400f, + 1.891152264602033800f, 1.891027440135392600f, 1.890902546141078000f, + 1.890777582623682300f, + 1.890652549587799700f, 1.890527447038027300f, 1.890402274978965100f, + 1.890277033415215200f, + 1.890151722351382200f, 1.890026341792073500f, 1.889900891741899100f, + 1.889775372205471300f, + 1.889649783187405100f, 1.889524124692318200f, 1.889398396724830500f, + 1.889272599289564900f, + 1.889146732391146400f, 1.889020796034202700f, 1.888894790223364600f, + 1.888768714963264400f, + 1.888642570258537700f, 1.888516356113822700f, 1.888390072533759700f, + 1.888263719522991900f, + 1.888137297086165000f, 1.888010805227927000f, 1.887884243952928600f, + 1.887757613265823400f, + 1.887630913171267000f, 1.887504143673917700f, 1.887377304778437000f, + 1.887250396489487800f, + 1.887123418811736500f, 1.886996371749851700f, 1.886869255308504200f, + 1.886742069492368000f, + 1.886614814306119400f, 1.886487489754437300f, 1.886360095842002600f, + 1.886232632573499700f, + 1.886105099953614900f, 1.885977497987037000f, 1.885849826678457800f, + 1.885722086032571200f, + 1.885594276054074300f, 1.885466396747665700f, 1.885338448118047700f, + 1.885210430169924200f, + 1.885082342908002400f, 1.884954186336991400f, 1.884825960461603100f, + 1.884697665286552400f, + 1.884569300816556000f, 1.884440867056333700f, 1.884312364010607600f, + 1.884183791684102400f, + 1.884055150081545200f, 1.883926439207665800f, 1.883797659067196800f, + 1.883668809664872600f, + 1.883539891005431100f, 1.883410903093611900f, 1.883281845934157800f, + 1.883152719531813800f, + 1.883023523891327300f, 1.882894259017448900f, 1.882764924914930700f, + 1.882635521588528400f, + 1.882506049042999700f, 1.882376507283104900f, 1.882246896313606800f, + 1.882117216139270700f, + 1.881987466764865100f, 1.881857648195159900f, 1.881727760434928500f, + 1.881597803488946500f, + 1.881467777361992100f, 1.881337682058845700f, 1.881207517584290600f, + 1.881077283943112900f, + 1.880946981140100500f, 1.880816609180044700f, 1.880686168067738500f, + 1.880555657807977800f, + 1.880425078405561600f, 1.880294429865290600f, 1.880163712191968300f, + 1.880032925390400900f, + 1.879902069465397200f, 1.879771144421768200f, 1.879640150264327600f, + 1.879509086997891900f, + 1.879377954627279700f, 1.879246753157312700f, 1.879115482592814500f, + 1.878984142938611600f, + 1.878852734199532900f, 1.878721256380410100f, 1.878589709486077300f, + 1.878458093521370800f, + 1.878326408491130200f, 1.878194654400196600f, 1.878062831253414900f, + 1.877930939055631100f, + 1.877798977811695200f, 1.877666947526458700f, 1.877534848204775800f, + 1.877402679851504000f, + 1.877270442471502100f, 1.877138136069632400f, 1.877005760650759500f, + 1.876873316219750200f, + 1.876740802781474500f, 1.876608220340804100f, 1.876475568902614000f, + 1.876342848471781200f, + 1.876210059053185600f, 1.876077200651709500f, 1.875944273272237800f, + 1.875811276919657500f, + 1.875678211598858800f, 1.875545077314734000f, 1.875411874072178100f, + 1.875278601876088700f, + 1.875145260731365700f, 1.875011850642911600f, 1.874878371615631900f, + 1.874744823654434000f, + 1.874611206764227800f, 1.874477520949926500f, 1.874343766216444800f, + 1.874209942568701100f, + 1.874076050011615400f, 1.873942088550110400f, 1.873808058189111700f, + 1.873673958933546900f, + 1.873539790788347100f, 1.873405553758444600f, 1.873271247848775400f, + 1.873136873064277000f, + 1.873002429409890600f, 1.872867916890558900f, 1.872733335511227700f, + 1.872598685276845000f, + 1.872463966192361900f, 1.872329178262731200f, 1.872194321492908700f, + 1.872059395887852900f, + 1.871924401452524700f, 1.871789338191887100f, 1.871654206110906500f, + 1.871519005214550700f, + 1.871383735507791100f, 1.871248396995601300f, 1.871112989682956800f, + 1.870977513574836500f, + 1.870841968676221400f, 1.870706354992095000f, 1.870570672527443600f, + 1.870434921287255700f, + 1.870299101276522400f, 1.870163212500237900f, 1.870027254963397800f, + 1.869891228671001200f, + 1.869755133628049600f, 1.869618969839546500f, 1.869482737310498100f, + 1.869346436045913800f, + 1.869210066050804600f, 1.869073627330184700f, 1.868937119889070300f, + 1.868800543732480600f, + 1.868663898865437200f, 1.868527185292963700f, 1.868390403020087100f, + 1.868253552051836200f, + 1.868116632393243000f, 1.867979644049341200f, 1.867842587025167800f, + 1.867705461325761800f, + 1.867568266956164800f, 1.867431003921421500f, 1.867293672226578300f, + 1.867156271876684500f, + 1.867018802876792200f, 1.866881265231955500f, 1.866743658947231300f, + 1.866605984027679000f, + 1.866468240478360600f, 1.866330428304340300f, 1.866192547510685300f, + 1.866054598102465000f, + 1.865916580084751500f, 1.865778493462619100f, 1.865640338241145100f, + 1.865502114425408900f, + 1.865363822020492700f, 1.865225461031480900f, 1.865087031463460900f, + 1.864948533321522300f, + 1.864809966610757400f, 1.864671331336260600f, 1.864532627503129100f, + 1.864393855116463200f, + 1.864255014181364500f, 1.864116104702938000f, 1.863977126686291200f, + 1.863838080136534000f, + 1.863698965058778300f, 1.863559781458139300f, 1.863420529339734100f, + 1.863281208708683000f, + 1.863141819570107900f, 1.863002361929134500f, 1.862862835790889400f, + 1.862723241160503300f, + 1.862583578043108100f, 1.862443846443839300f, 1.862304046367834200f, + 1.862164177820232700f, + 1.862024240806177800f, 1.861884235330814300f, 1.861744161399289600f, + 1.861604019016754200f, + 1.861463808188360500f, 1.861323528919263800f, 1.861183181214621600f, + 1.861042765079594200f, + 1.860902280519344500f, 1.860761727539037300f, 1.860621106143840500f, + 1.860480416338924600f, + 1.860339658129461800f, 1.860198831520627900f, 1.860057936517600700f, + 1.859916973125560000f, + 1.859775941349689000f, 1.859634841195173100f, 1.859493672667199800f, + 1.859352435770959900f, + 1.859211130511645900f, 1.859069756894453400f, 1.858928314924580300f, + 1.858786804607227100f, + 1.858645225947596300f, 1.858503578950893900f, 1.858361863622327400f, + 1.858220079967107600f, + 1.858078227990447300f, 1.857936307697561900f, 1.857794319093669900f, + 1.857652262183991000f, + 1.857510136973749000f, 1.857367943468169100f, 1.857225681672479300f, + 1.857083351591910300f, + 1.856940953231694900f, 1.856798486597069000f, 1.856655951693270600f, + 1.856513348525540300f, + 1.856370677099121100f, 1.856227937419258700f, 1.856085129491201100f, + 1.855942253320199200f, + 1.855799308911506100f, 1.855656296270377300f, 1.855513215402071000f, + 1.855370066311848000f, + 1.855226849004971500f, 1.855083563486706900f, 1.854940209762322700f, + 1.854796787837089500f, + 1.854653297716280400f, 1.854509739405171300f, 1.854366112909040300f, + 1.854222418233168400f, + 1.854078655382838300f, 1.853934824363336200f, 1.853790925179950500f, + 1.853646957837971500f, + 1.853502922342692600f, 1.853358818699409900f, 1.853214646913421200f, + 1.853070406990027500f, + 1.852926098934532200f, 1.852781722752241000f, 1.852637278448462200f, + 1.852492766028506400f, + 1.852348185497687300f, 1.852203536861320600f, 1.852058820124724300f, + 1.851914035293219700f, + 1.851769182372129600f, 1.851624261366780400f, 1.851479272282500000f, + 1.851334215124619300f, + 1.851189089898471800f, 1.851043896609393400f, 1.850898635262721900f, + 1.850753305863798800f, + 1.850607908417967200f, 1.850462442930572900f, 1.850316909406964200f, + 1.850171307852492200f, + 1.850025638272510000f, 1.849879900672373600f, 1.849734095057441200f, + 1.849588221433073700f, + 1.849442279804634600f, 1.849296270177489800f, 1.849150192557007300f, + 1.849004046948558200f, + 1.848857833357515900f, 1.848711551789256300f, 1.848565202249157400f, + 1.848418784742600400f, + 1.848272299274968500f, 1.848125745851647800f, 1.847979124478026100f, + 1.847832435159495000f, + 1.847685677901447200f, 1.847538852709279100f, 1.847391959588388300f, + 1.847244998544176300f, + 1.847097969582046200f, 1.846950872707404000f, 1.846803707925657600f, + 1.846656475242218300f, + 1.846509174662499300f, 1.846361806191916000f, 1.846214369835887500f, + 1.846066865599834000f, + 1.845919293489179000f, 1.845771653509348200f, 1.845623945665770100f, + 1.845476169963875500f, + 1.845328326409097400f, 1.845180415006871800f, 1.845032435762637100f, + 1.844884388681833800f, + 1.844736273769905300f, 1.844588091032297400f, 1.844439840474458200f, + 1.844291522101838800f, + 1.844143135919891900f, 1.843994681934073600f, 1.843846160149842200f, + 1.843697570572658200f, + 1.843548913207985000f, 1.843400188061288000f, 1.843251395138035800f, + 1.843102534443698900f, + 1.842953605983750400f, 1.842804609763666100f, 1.842655545788924000f, + 1.842506414065004900f, + 1.842357214597392100f, 1.842207947391570900f, 1.842058612453029600f, + 1.841909209787258900f, + 1.841759739399751800f, 1.841610201296003800f, 1.841460595481513100f, + 1.841310921961780500f, + 1.841161180742308500f, 1.841011371828603200f, 1.840861495226172600f, + 1.840711550940526700f, + 1.840561538977179200f, 1.840411459341645400f, 1.840261312039443100f, + 1.840111097076092800f, + 1.839960814457117600f, 1.839810464188043100f, 1.839660046274397100f, + 1.839509560721709800f, + 1.839359007535514400f, 1.839208386721346500f, 1.839057698284743500f, + 1.838906942231246100f, + 1.838756118566397200f, 1.838605227295741800f, 1.838454268424828400f, + 1.838303241959206700f, + 1.838152147904429800f, 1.838000986266052900f, 1.837849757049633900f, + 1.837698460260732900f, + 1.837547095904912700f, 1.837395663987738700f, 1.837244164514778600f, + 1.837092597491602100f, + 1.836940962923782700f, 1.836789260816895000f, 1.836637491176516600f, + 1.836485654008228200f, + 1.836333749317611700f, 1.836181777110252900f, 1.836029737391738700f, + 1.835877630167659800f, + 1.835725455443608200f, 1.835573213225179400f, 1.835420903517970500f, + 1.835268526327581900f, + 1.835116081659615700f, 1.834963569519677100f, 1.834810989913373500f, + 1.834658342846314800f, + 1.834505628324113200f, 1.834352846352383700f, 1.834199996936744000f, + 1.834047080082813300f, + 1.833894095796214400f, 1.833741044082571900f, 1.833587924947513100f, + 1.833434738396668000f, + 1.833281484435668400f, 1.833128163070149300f, 1.832974774305747600f, + 1.832821318148103500f, + 1.832667794602858400f, 1.832514203675657600f, 1.832360545372147900f, + 1.832206819697979000f, + 1.832053026658802700f, 1.831899166260273700f, 1.831745238508049300f, + 1.831591243407788300f, + 1.831437180965153100f, 1.831283051185808300f, 1.831128854075420500f, + 1.830974589639659000f, + 1.830820257884196100f, 1.830665858814705600f, 1.830511392436864800f, + 1.830356858756352800f, + 1.830202257778851300f, 1.830047589510044500f, 1.829892853955619200f, + 1.829738051121264600f, + 1.829583181012672400f, 1.829428243635536500f, 1.829273238995553700f, + 1.829118167098423100f, + 1.828963027949846100f, 1.828807821555527000f, 1.828652547921171900f, + 1.828497207052490100f, + 1.828341798955192900f, 1.828186323634994200f, 1.828030781097610400f, + 1.827875171348760400f, + 1.827719494394165500f, 1.827563750239549400f, 1.827407938890638600f, + 1.827252060353161500f, + 1.827096114632849700f, 1.826940101735436500f, 1.826784021666658400f, + 1.826627874432253700f, + 1.826471660037963800f, 1.826315378489531800f, 1.826159029792704400f, + 1.826002613953229500f, + 1.825846130976858100f, 1.825689580869344100f, 1.825532963636443000f, + 1.825376279283913200f, + 1.825219527817515800f, 1.825062709243013800f, 1.824905823566173000f, + 1.824748870792761900f, + 1.824591850928550800f, 1.824434763979313300f, 1.824277609950824700f, + 1.824120388848863300f, + 1.823963100679209600f, 1.823805745447646600f, 1.823648323159960100f, + 1.823490833821937600f, + 1.823333277439369600f, 1.823175654018049300f, 1.823017963563772000f, + 1.822860206082335300f, + 1.822702381579539800f, 1.822544490061187800f, 1.822386531533084900f, + 1.822228506001038800f, + 1.822070413470859600f, 1.821912253948359700f, 1.821754027439354400f, + 1.821595733949661100f, + 1.821437373485099900f, 1.821278946051493100f, 1.821120451654665700f, + 1.820961890300445400f, + 1.820803261994661500f, 1.820644566743146800f, 1.820485804551735800f, + 1.820326975426265600f, + 1.820168079372576300f, 1.820009116396509800f, 1.819850086503910700f, + 1.819690989700625900f, + 1.819531825992505500f, 1.819372595385401000f, 1.819213297885166900f, + 1.819053933497660300f, + 1.818894502228740600f, 1.818735004084269600f, 1.818575439070111200f, + 1.818415807192132600f, + 1.818256108456203000f, 1.818096342868193800f, 1.817936510433979300f, + 1.817776611159436000f, + 1.817616645050443000f, 1.817456612112881900f, 1.817296512352636300f, + 1.817136345775592900f, + 1.816976112387640700f, 1.816815812194670700f, 1.816655445202576700f, + 1.816495011417255300f, + 1.816334510844604700f, 1.816173943490526400f, 1.816013309360923900f, + 1.815852608461703300f, + 1.815691840798773000f, 1.815531006378043900f, 1.815370105205429600f, + 1.815209137286846200f, + 1.815048102628211500f, 1.814887001235446600f, 1.814725833114474700f, + 1.814564598271221300f, + 1.814403296711615000f, 1.814241928441585800f, 1.814080493467067300f, + 1.813918991793994900f, + 1.813757423428306000f, 1.813595788375941700f, 1.813434086642844400f, + 1.813272318234959700f, + 1.813110483158235400f, 1.812948581418621500f, 1.812786613022070700f, + 1.812624577974538000f, + 1.812462476281981200f, 1.812300307950360300f, 1.812138072985637800f, + 1.811975771393778300f, + 1.811813403180749300f, 1.811650968352521000f, 1.811488466915065000f, + 1.811325898874356800f, + 1.811163264236372900f, 1.811000563007093100f, 1.810837795192499400f, + 1.810674960798576600f, + 1.810512059831311400f, 1.810349092296693400f, 1.810186058200714100f, + 1.810022957549368000f, + 1.809859790348652200f, 1.809696556604565300f, 1.809533256323109200f, + 1.809369889510288100f, + 1.809206456172108200f, 1.809042956314578900f, 1.808879389943711200f, + 1.808715757065519200f, + 1.808552057686019200f, 1.808388291811230000f, 1.808224459447172800f, + 1.808060560599871200f, + 1.807896595275351200f, 1.807732563479641300f, 1.807568465218772900f, + 1.807404300498778800f, + 1.807240069325695400f, 1.807075771705560800f, 1.806911407644415700f, + 1.806746977148303300f, + 1.806582480223269500f, 1.806417916875362000f, 1.806253287110631600f, + 1.806088590935131000f, + 1.805923828354915900f, 1.805758999376044100f, 1.805594104004575800f, + 1.805429142246573600f, + 1.805264114108102900f, 1.805099019595231200f, 1.804933858714028700f, + 1.804768631470567500f, + 1.804603337870923000f, 1.804437977921172300f, 1.804272551627395400f, + 1.804107058995674500f, + 1.803941500032094200f, 1.803775874742741500f, 1.803610183133706400f, + 1.803444425211080400f, + 1.803278600980958300f, 1.803112710449436900f, 1.802946753622615400f, + 1.802780730506595700f, + 1.802614641107481900f, 1.802448485431380900f, 1.802282263484401300f, + 1.802115975272655000f, + 1.801949620802255600f, 1.801783200079319900f, 1.801616713109966300f, + 1.801450159900316300f, + 1.801283540456493700f, 1.801116854784624400f, 1.800950102890836800f, + 1.800783284781262200f, + 1.800616400462033800f, 1.800449449939287800f, 1.800282433219162000f, + 1.800115350307797600f, + 1.799948201211337500f, 1.799780985935927300f, 1.799613704487715200f, + 1.799446356872851400f, + 1.799278943097489100f, 1.799111463167783400f, 1.798943917089892000f, + 1.798776304869975200f, + 1.798608626514195800f, 1.798440882028718500f, 1.798273071419711000f, + 1.798105194693343500f, + 1.797937251855787700f, 1.797769242913218800f, 1.797601167871813800f, + 1.797433026737752700f, + 1.797264819517217200f, 1.797096546216391900f, 1.796928206841463800f, + 1.796759801398622100f, + 1.796591329894058800f, 1.796422792333968000f, 1.796254188724546500f, + 1.796085519071992900f, + 1.795916783382509200f, 1.795747981662299200f, 1.795579113917569200f, + 1.795410180154527900f, + 1.795241180379386800f, 1.795072114598359200f, 1.794902982817661500f, + 1.794733785043511900f, + 1.794564521282131300f, 1.794395191539743400f, 1.794225795822573600f, + 1.794056334136850300f, + 1.793886806488804100f, 1.793717212884667900f, 1.793547553330677300f, + 1.793377827833070100f, + 1.793208036398086900f, 1.793038179031970000f, 1.792868255740965000f, + 1.792698266531319400f, + 1.792528211409282900f, 1.792358090381108300f, 1.792187903453050100f, + 1.792017650631366100f, + 1.791847331922315600f, 1.791676947332161000f, 1.791506496867166600f, + 1.791335980533599300f, + 1.791165398337728900f, 1.790994750285827000f, 1.790824036384167900f, + 1.790653256639028100f, + 1.790482411056686800f, 1.790311499643425500f, 1.790140522405528200f, + 1.789969479349281100f, + 1.789798370480973000f, 1.789627195806895200f, 1.789455955333341100f, + 1.789284649066606800f, + 1.789113277012990900f, 1.788941839178794100f, 1.788770335570319700f, + 1.788598766193873600f, + 1.788427131055763600f, 1.788255430162300400f, 1.788083663519796800f, + 1.787911831134568300f, + 1.787739933012932900f, 1.787567969161210300f, 1.787395939585723500f, + 1.787223844292797500f, + 1.787051683288759500f, 1.786879456579939700f, 1.786707164172670200f, + 1.786534806073285700f, + 1.786362382288123400f, 1.786189892823522700f, 1.786017337685825700f, + 1.785844716881376700f, + 1.785672030416522300f, 1.785499278297612000f, 1.785326460530997300f, + 1.785153577123032000f, + 1.784980628080072900f, 1.784807613408478300f, 1.784634533114609800f, + 1.784461387204831400f, + 1.784288175685508700f, 1.784114898563010200f, 1.783941555843707100f, + 1.783768147533972200f, + 1.783594673640181800f, 1.783421134168713800f, 1.783247529125948900f, + 1.783073858518269700f, + 1.782900122352062000f, 1.782726320633713200f, 1.782552453369613800f, + 1.782378520566156200f, + 1.782204522229735600f, 1.782030458366749200f, 1.781856328983596900f, + 1.781682134086680900f, + 1.781507873682406200f, 1.781333547777179200f, 1.781159156377410100f, + 1.780984699489510200f, + 1.780810177119894100f, 1.780635589274978600f, 1.780460935961182300f, + 1.780286217184927000f, + 1.780111432952636600f, 1.779936583270737400f, 1.779761668145658300f, + 1.779586687583830200f, + 1.779411641591686500f, 1.779236530175663600f, 1.779061353342199500f, + 1.778886111097735000f, + 1.778710803448713400f, 1.778535430401580100f, 1.778359991962783000f, + 1.778184488138772900f, + 1.778008918936002000f, 1.777833284360925900f, 1.777657584420002000f, + 1.777481819119690200f, + 1.777305988466453000f, 1.777130092466755200f, 1.776954131127064200f, + 1.776778104453849100f, + 1.776602012453582400f, 1.776425855132738100f, 1.776249632497793200f, + 1.776073344555227000f, + 1.775896991311520800f, 1.775720572773158900f, 1.775544088946627600f, + 1.775367539838415700f, + 1.775190925455014400f, 1.775014245802917200f, 1.774837500888620400f, + 1.774660690718622000f, + 1.774483815299423100f, 1.774306874637527000f, 1.774129868739439100f, + 1.773952797611667100f, + 1.773775661260722100f, 1.773598459693116500f, 1.773421192915365400f, + 1.773243860933986400f, + 1.773066463755499800f, 1.772889001386427800f, 1.772711473833295200f, + 1.772533881102629000f, + 1.772356223200959100f, 1.772178500134817100f, 1.772000711910737700f, + 1.771822858535257600f, + 1.771644940014915700f, 1.771466956356254000f, 1.771288907565816000f, + 1.771110793650148500f, + 1.770932614615799800f, 1.770754370469321400f, 1.770576061217266500f, + 1.770397686866191300f, + 1.770219247422653700f, 1.770040742893215000f, 1.769862173284438000f, + 1.769683538602888000f, + 1.769504838855133100f, 1.769326074047743700f, 1.769147244187292200f, + 1.768968349280353800f, + 1.768789389333506000f, 1.768610364353328600f, 1.768431274346403900f, + 1.768252119319316400f, + 1.768072899278653200f, 1.767893614231003800f, 1.767714264182959500f, + 1.767534849141115100f, + 1.767355369112067100f, 1.767175824102414000f, 1.766996214118757800f, + 1.766816539167701800f, + 1.766636799255852300f, 1.766456994389817600f, 1.766277124576209000f, + 1.766097189821639300f, + 1.765917190132724600f, 1.765737125516083000f, 1.765556995978334800f, + 1.765376801526102700f, + 1.765196542166012100f, 1.765016217904690900f, 1.764835828748768400f, + 1.764655374704877700f, + 1.764474855779653200f, 1.764294271979732100f, 1.764113623311754000f, + 1.763932909782361100f, + 1.763752131398197200f, 1.763571288165909400f, 1.763390380092146400f, + 1.763209407183560200f, + 1.763028369446804500f, 1.762847266888535100f, 1.762666099515411100f, + 1.762484867334093400f, + 1.762303570351245300f, 1.762122208573532600f, 1.761940782007623600f, + 1.761759290660188400f, + 1.761577734537900500f, 1.761396113647435000f, 1.761214427995469100f, + 1.761032677588683800f, + 1.760850862433760700f, 1.760668982537384900f, 1.760487037906243600f, + 1.760305028547026500f, + 1.760122954466425600f, 1.759940815671135100f, 1.759758612167851700f, + 1.759576343963274600f, + 1.759394011064105100f, 1.759211613477047200f, 1.759029151208807400f, + 1.758846624266093800f, + 1.758664032655617500f, 1.758481376384092500f, 1.758298655458233600f, + 1.758115869884759700f, + 1.757933019670390800f, 1.757750104821850000f, 1.757567125345862700f, + 1.757384081249156100f, + 1.757200972538460700f, 1.757017799220508500f, 1.756834561302034400f, + 1.756651258789775800f, + 1.756467891690471700f, 1.756284460010864200f, 1.756100963757697900f, + 1.755917402937718900f, + 1.755733777557676500f, 1.755550087624322000f, 1.755366333144409200f, + 1.755182514124693900f, + 1.754998630571935200f, 1.754814682492893600f, 1.754630669894332600f, + 1.754446592783017500f, + 1.754262451165716300f, 1.754078245049199600f, 1.753893974440240000f, + 1.753709639345612600f, + 1.753525239772095100f, 1.753340775726466700f, 1.753156247215510400f, + 1.752971654246010300f, + 1.752786996824753600f, 1.752602274958529500f, 1.752417488654129700f, + 1.752232637918348200f, + 1.752047722757981600f, 1.751862743179828600f, 1.751677699190690400f, + 1.751492590797370600f, + 1.751307418006674800f, 1.751122180825411800f, 1.750936879260391700f, + 1.750751513318427700f, + 1.750566083006335600f, 1.750380588330932500f, 1.750195029299038900f, + 1.750009405917477100f, + 1.749823718193071800f, 1.749637966132650900f, 1.749452149743043100f, + 1.749266269031080700f, + 1.749080324003598100f, 1.748894314667431800f, 1.748708241029421000f, + 1.748522103096407300f, + 1.748335900875233900f, 1.748149634372747200f, 1.747963303595795500f, + 1.747776908551230000f, + 1.747590449245904000f, 1.747403925686672500f, 1.747217337880393900f, + 1.747030685833928200f, + 1.746843969554138200f, 1.746657189047889200f, 1.746470344322048200f, + 1.746283435383485100f, + 1.746096462239072000f, 1.745909424895683200f, 1.745722323360195900f, + 1.745535157639489100f, + 1.745347927740444200f, 1.745160633669945200f, 1.744973275434878300f, + 1.744785853042132300f, + 1.744598366498598200f, 1.744410815811169300f, 1.744223200986741100f, + 1.744035522032211900f, + 1.743847778954482000f, 1.743659971760454200f, 1.743472100457033700f, + 1.743284165051127700f, + 1.743096165549646400f, 1.742908101959502100f, 1.742719974287608900f, + 1.742531782540884100f, + 1.742343526726246800f, 1.742155206850618800f, 1.741966822920923800f, + 1.741778374944088000f, + 1.741589862927040800f, 1.741401286876712800f, 1.741212646800037300f, + 1.741023942703950200f, + 1.740835174595389600f, 1.740646342481295900f, 1.740457446368612000f, + 1.740268486264283200f, + 1.740079462175256900f, 1.739890374108482600f, 1.739701222070913200f, + 1.739512006069502800f, + 1.739322726111208500f, 1.739133382202989500f, 1.738943974351807600f, + 1.738754502564626700f, + 1.738564966848413100f, 1.738375367210135400f, 1.738185703656765200f, + 1.737995976195275000f, + 1.737806184832640900f, 1.737616329575841300f, 1.737426410431856200f, + 1.737236427407668800f, + 1.737046380510263800f, 1.736856269746629000f, 1.736666095123754000f, + 1.736475856648631400f, + 1.736285554328254900f, 1.736095188169622500f, 1.735904758179732400f, + 1.735714264365586700f, + 1.735523706734189100f, 1.735333085292545900f, 1.735142400047666100f, + 1.734951651006560100f, + 1.734760838176241400f, 1.734569961563725600f, 1.734379021176030600f, + 1.734188017020177100f, + 1.733996949103187500f, 1.733805817432086900f, 1.733614622013902600f, + 1.733423362855664100f, + 1.733232039964403900f, 1.733040653347156300f, 1.732849203010957900f, + 1.732657688962847600f, + 1.732466111209867200f, 1.732274469759060200f, 1.732082764617472800f, + 1.731890995792153600f, + 1.731699163290153100f, 1.731507267118524500f, 1.731315307284323700f, + 1.731123283794607800f, + 1.730931196656437600f, 1.730739045876875200f, 1.730546831462985500f, + 1.730354553421835600f, + 1.730162211760495300f, 1.729969806486036500f, 1.729777337605533000f, + 1.729584805126061400f, + 1.729392209054700900f, 1.729199549398532400f, 1.729006826164639400f, + 1.728814039360108100f, + 1.728621188992026400f, 1.728428275067485100f, 1.728235297593577100f, + 1.728042256577397200f, + 1.727849152026043500f, 1.727655983946615700f, 1.727462752346216000f, + 1.727269457231948900f, + 1.727076098610921500f, 1.726882676490243000f, 1.726689190877025000f, + 1.726495641778381200f, + 1.726302029201427900f, 1.726108353153283900f, 1.725914613641069900f, + 1.725720810671909300f, + 1.725526944252927700f, 1.725333014391252900f, 1.725139021094015200f, + 1.724944964368347000f, + 1.724750844221383500f, 1.724556660660261800f, 1.724362413692121400f, + 1.724168103324104300f, + 1.723973729563354600f, 1.723779292417019200f, 1.723584791892246700f, + 1.723390227996188600f, + 1.723195600735998100f, 1.723000910118831300f, 1.722806156151846400f, + 1.722611338842204000f, + 1.722416458197066900f, 1.722221514223600100f, 1.722026506928971500f, + 1.721831436320350800f, + 1.721636302404910200f, 1.721441105189824000f, 1.721245844682269600f, + 1.721050520889425600f, + 1.720855133818473900f, 1.720659683476597900f, 1.720464169870984200f, + 1.720268593008821100f, + 1.720072952897299100f, 1.719877249543611900f, 1.719681482954954500f, + 1.719485653138524800f, + 1.719289760101522900f, 1.719093803851151400f, 1.718897784394614900f, + 1.718701701739120400f, + 1.718505555891877400f, 1.718309346860097600f, 1.718113074650995200f, + 1.717916739271786500f, + 1.717720340729689700f, 1.717523879031926500f, 1.717327354185719900f, + 1.717130766198295700f, + 1.716934115076881800f, 1.716737400828708400f, 1.716540623461008100f, + 1.716343782981016200f, + 1.716146879395969500f, 1.715949912713108100f, 1.715752882939673300f, + 1.715555790082909900f, + 1.715358634150064000f, 1.715161415148384500f, 1.714964133085122900f, + 1.714766787967532600f, + 1.714569379802868900f, 1.714371908598390800f, 1.714174374361358000f, + 1.713976777099033700f, + 1.713779116818682900f, 1.713581393527573000f, 1.713383607232973600f, + 1.713185757942156800f, + 1.712987845662396800f, 1.712789870400970700f, 1.712591832165157200f, + 1.712393730962237500f, + 1.712195566799495500f, 1.711997339684216700f, 1.711799049623689900f, + 1.711600696625205300f, + 1.711402280696055800f, 1.711203801843536700f, 1.711005260074945200f, + 1.710806655397581600f, + 1.710607987818747700f, 1.710409257345748100f, 1.710210463985889500f, + 1.710011607746480600f, + 1.709812688634833300f, 1.709613706658261100f, 1.709414661824080000f, + 1.709215554139608400f, + 1.709016383612166600f, 1.708817150249077900f, 1.708617854057667300f, + 1.708418495045262300f, + 1.708219073219193300f, 1.708019588586791700f, 1.707820041155392500f, + 1.707620430932332400f, + 1.707420757924950300f, 1.707221022140587900f, 1.707021223586588700f, + 1.706821362270298600f, + 1.706621438199066300f, 1.706421451380242000f, 1.706221401821179200f, + 1.706021289529232800f, + 1.705821114511760300f, 1.705620876776121600f, 1.705420576329679000f, + 1.705220213179796900f, + 1.705019787333842200f, 1.704819298799183700f, 1.704618747583193100f, + 1.704418133693243800f, + 1.704217457136711900f, 1.704016717920976000f, 1.703815916053416300f, + 1.703615051541415900f, + 1.703414124392360000f, 1.703213134613636100f, 1.703012082212634000f, + 1.702810967196746000f, + 1.702609789573366300f, 1.702408549349891500f, 1.702207246533721000f, + 1.702005881132255800f, + 1.701804453152900000f, 1.701602962603059100f, 1.701401409490141300f, + 1.701199793821557300f, + 1.700998115604720000f, 1.700796374847044300f, 1.700594571555948100f, + 1.700392705738850400f, + 1.700190777403173700f, 1.699988786556342300f, 1.699786733205783000f, + 1.699584617358924400f, + 1.699382439023197700f, 1.699180198206036600f, 1.698977894914877100f, + 1.698775529157156700f, + 1.698573100940316400f, 1.698370610271798800f, 1.698168057159048700f, + 1.697965441609513300f, + 1.697762763630642700f, 1.697560023229888200f, 1.697357220414704500f, + 1.697154355192547900f, + 1.696951427570877000f, 1.696748437557152900f, 1.696545385158839200f, + 1.696342270383401200f, + 1.696139093238307400f, 1.695935853731027600f, 1.695732551869034300f, + 1.695529187659802400f, + 1.695325761110809200f, 1.695122272229534000f, 1.694918721023458600f, + 1.694715107500066800f, + 1.694511431666845000f, 1.694307693531282000f, 1.694103893100868100f, + 1.693900030383096900f, + 1.693696105385463800f, 1.693492118115466500f, 1.693288068580604900f, + 1.693083956788381500f, + 1.692879782746300700f, 1.692675546461869900f, 1.692471247942597600f, + 1.692266887195995600f, + 1.692062464229577600f, 1.691857979050859900f, 1.691653431667360600f, + 1.691448822086600400f, + 1.691244150316102000f, 1.691039416363390800f, 1.690834620235994300f, + 1.690629761941442100f, + 1.690424841487266700f, 1.690219858881001800f, 1.690014814130184300f, + 1.689809707242353200f, + 1.689604538225049700f, 1.689399307085817300f, 1.689194013832201500f, + 1.688988658471750600f, + 1.688783241012014700f, 1.688577761460546800f, 1.688372219824901400f, + 1.688166616112636100f, + 1.687960950331309800f, 1.687755222488484600f, 1.687549432591724400f, + 1.687343580648595700f, + 1.687137666666667100f, 1.686931690653509000f, 1.686725652616694900f, + 1.686519552563800400f, + 1.686313390502403000f, 1.686107166440082600f, 1.685900880384421800f, + 1.685694532343004600f, + 1.685488122323418400f, 1.685281650333251900f, 1.685075116380096800f, + 1.684868520471546600f, + 1.684661862615197000f, 1.684455142818646700f, 1.684248361089495800f, + 1.684041517435347400f, + 1.683834611863806100f, 1.683627644382479800f, 1.683420614998977900f, + 1.683213523720911800f, + 1.683006370555896400f, 1.682799155511547600f, 1.682591878595484300f, + 1.682384539815327400f, + 1.682177139178700400f, 1.681969676693228600f, 1.681762152366539600f, + 1.681554566206263900f, + 1.681346918220033800f, 1.681139208415483700f, 1.680931436800250600f, + 1.680723603381973500f, + 1.680515708168294200f, 1.680307751166856300f, 1.680099732385305300f, + 1.679891651831290100f, + 1.679683509512460900f, 1.679475305436470600f, 1.679267039610974300f, + 1.679058712043629300f, + 1.678850322742095200f, 1.678641871714033900f, 1.678433358967109400f, + 1.678224784508988400f, + 1.678016148347339300f, 1.677807450489833300f, 1.677598690944143400f, + 1.677389869717945000f, + 1.677180986818916300f, 1.676972042254736900f, 1.676763036033089600f, + 1.676553968161658600f, + 1.676344838648130600f, 1.676135647500194700f, 1.675926394725542700f, + 1.675717080331867900f, + 1.675507704326866200f, 1.675298266718235900f, 1.675088767513677200f, + 1.674879206720892900f, + 1.674669584347587800f, 1.674459900401469700f, 1.674250154890247300f, + 1.674040347821632800f, + 1.673830479203340000f, 1.673620549043085500f, 1.673410557348587600f, + 1.673200504127567000f, + 1.672990389387746700f, 1.672780213136852300f, 1.672569975382611300f, + 1.672359676132753500f, + 1.672149315395010900f, 1.671938893177118000f, 1.671728409486811500f, + 1.671517864331830000f, + 1.671307257719914800f, 1.671096589658809500f, 1.670885860156259300f, + 1.670675069220012500f, + 1.670464216857819200f, 1.670253303077431800f, 1.670042327886605200f, + 1.669831291293095900f, + 1.669620193304663500f, 1.669409033929069500f, 1.669197813174077200f, + 1.668986531047453000f, + 1.668775187556965000f, 1.668563782710383600f, 1.668352316515481700f, + 1.668140788980034400f, + 1.667929200111818400f, 1.667717549918614100f, 1.667505838408202700f, + 1.667294065588368100f, + 1.667082231466896900f, 1.666870336051577800f, 1.666658379350201000f, + 1.666446361370560000f, + 1.666234282120450100f, 1.666022141607668600f, 1.665809939840015500f, + 1.665597676825292700f, + 1.665385352571304500f, 1.665172967085857700f, 1.664960520376761000f, + 1.664748012451825200f, + 1.664535443318863900f, 1.664322812985692600f, 1.664110121460129000f, + 1.663897368749993400f, + 1.663684554863107800f, 1.663471679807296800f, 1.663258743590387400f, + 1.663045746220208600f, + 1.662832687704591800f, 1.662619568051370500f, 1.662406387268380100f, + 1.662193145363459100f, + 1.661979842344447600f, 1.661766478219188300f, 1.661553052995526000f, + 1.661339566681307600f, + 1.661126019284382200f, 1.660912410812601900f, 1.660698741273819700f, + 1.660485010675892400f, + 1.660271219026677700f, 1.660057366334036300f, 1.659843452605831200f, + 1.659629477849926800f, + 1.659415442074190900f, 1.659201345286492900f, 1.658987187494704200f, + 1.658772968706699000f, + 1.658558688930353400f, 1.658344348173546300f, 1.658129946444157700f, + 1.657915483750071100f, + 1.657700960099171200f, 1.657486375499345900f, 1.657271729958484500f, + 1.657057023484479000f, + 1.656842256085223800f, 1.656627427768615000f, 1.656412538542551200f, + 1.656197588414933600f, + 1.655982577393664700f, 1.655767505486650500f, 1.655552372701798200f, + 1.655337179047017700f, + 1.655121924530220900f, 1.654906609159322500f, 1.654691232942238500f, + 1.654475795886888300f, + 1.654260298001192200f, 1.654044739293073900f, 1.653829119770458900f, + 1.653613439441274500f, + 1.653397698313451300f, 1.653181896394921000f, 1.652966033693617800f, + 1.652750110217479100f, + 1.652534125974443000f, 1.652318080972451400f, 1.652101975219447200f, + 1.651885808723375900f, + 1.651669581492185300f, 1.651453293533826000f, 1.651236944856249600f, + 1.651020535467411200f, + 1.650804065375267400f, 1.650587534587776700f, 1.650370943112901000f, + 1.650154290958603300f, + 1.649937578132849400f, 1.649720804643607400f, 1.649503970498847200f, + 1.649287075706541200f, + 1.649070120274664000f, 1.648853104211192700f, 1.648636027524106100f, + 1.648418890221385400f, + 1.648201692311014300f, 1.647984433800978600f, 1.647767114699266100f, + 1.647549735013867000f, + 1.647332294752774200f, 1.647114793923981600f, 1.646897232535486500f, + 1.646679610595287900f, + 1.646461928111387300f, 1.646244185091788400f, 1.646026381544496400f, + 1.645808517477519700f, + 1.645590592898868600f, 1.645372607816555400f, 1.645154562238594800f, + 1.644936456173004000f, + 1.644718289627801600f, 1.644500062611009300f, 1.644281775130650900f, + 1.644063427194751600f, + 1.643845018811340300f, 1.643626549988446200f, 1.643408020734102600f, + 1.643189431056343700f, + 1.642970780963206800f, 1.642752070462730800f, 1.642533299562957100f, + 1.642314468271929300f, + 1.642095576597693200f, 1.641876624548297000f, 1.641657612131790500f, + 1.641438539356226500f, + 1.641219406229659700f, 1.641000212760146800f, 1.640780958955747200f, + 1.640561644824521700f, + 1.640342270374534500f, 1.640122835613851100f, 1.639903340550539200f, + 1.639683785192669600f, + 1.639464169548314100f, 1.639244493625547900f, 1.639024757432447500f, + 1.638804960977092100f, + 1.638585104267562800f, 1.638365187311943400f, 1.638145210118319400f, + 1.637925172694778800f, + 1.637705075049411800f, 1.637484917190310800f, 1.637264699125570200f, + 1.637044420863286600f, + 1.636824082411559600f, 1.636603683778490100f, 1.636383224972181500f, + 1.636162706000739300f, + 1.635942126872271800f, 1.635721487594888400f, 1.635500788176702100f, + 1.635280028625826900f, + 1.635059208950379700f, 1.634838329158479200f, 1.634617389258246700f, + 1.634396389257805700f, + 1.634175329165281400f, 1.633954208988801700f, 1.633733028736496400f, + 1.633511788416498000f, + 1.633290488036940500f, 1.633069127605960800f, 1.632847707131697600f, + 1.632626226622291700f, + 1.632404686085886300f, 1.632183085530627200f, 1.631961424964661700f, + 1.631739704396139900f, + 1.631517923833213400f, 1.631296083284036900f, 1.631074182756766300f, + 1.630852222259560700f, + 1.630630201800580900f, 1.630408121387990000f, 1.630185981029953000f, + 1.629963780734637400f, + 1.629741520510213000f, 1.629519200364851800f, 1.629296820306727700f, + 1.629074380344017100f, + 1.628851880484898200f, 1.628629320737551700f, 1.628406701110161100f, + 1.628184021610910700f, + 1.627961282247988300f, 1.627738483029583100f, 1.627515623963887000f, + 1.627292705059093700f, + 1.627069726323399500f, 1.626846687765002700f, 1.626623589392103500f, + 1.626400431212904800f, + 1.626177213235611400f, 1.625953935468430500f, 1.625730597919571300f, + 1.625507200597245500f, + 1.625283743509666300f, 1.625060226665050000f, 1.624836650071614500f, + 1.624613013737580000f, + 1.624389317671169500f, 1.624165561880607000f, 1.623941746374119500f, + 1.623717871159936300f, + 1.623493936246288300f, 1.623269941641409400f, 1.623045887353534900f, + 1.622821773390902700f, + 1.622597599761753000f, 1.622373366474327800f, 1.622149073536871800f, + 1.621924720957631300f, + 1.621700308744855200f, 1.621475836906794500f, 1.621251305451702400f, + 1.621026714387834300f, + 1.620802063723447700f, 1.620577353466802700f, 1.620352583626160500f, + 1.620127754209786100f, + 1.619902865225945300f, 1.619677916682906700f, 1.619452908588941300f, + 1.619227840952321800f, + 1.619002713781323200f, 1.618777527084222800f, 1.618552280869300300f, + 1.618326975144837000f, + 1.618101609919117200f, 1.617876185200426600f, 1.617650700997053500f, + 1.617425157317288200f, + 1.617199554169423500f, 1.616973891561754200f, 1.616748169502577200f, + 1.616522388000191500f, + 1.616296547062898500f, 1.616070646699001800f, 1.615844686916807300f, + 1.615618667724622700f, + 1.615392589130757900f, 1.615166451143525300f, 1.614940253771239400f, + 1.614713997022216900f, + 1.614487680904776600f, 1.614261305427239200f, 1.614034870597928400f, + 1.613808376425168900f, + 1.613581822917288900f, 1.613355210082617800f, 1.613128537929487500f, + 1.612901806466232200f, + 1.612675015701188000f, 1.612448165642693400f, 1.612221256299089200f, + 1.611994287678718100f, + 1.611767259789925100f, 1.611540172641057200f, 1.611313026240463800f, + 1.611085820596496600f, + 1.610858555717509200f, 1.610631231611857800f, 1.610403848287899700f, + 1.610176405753995800f, + 1.609948904018508200f, 1.609721343089801600f, 1.609493722976242900f, + 1.609266043686200700f, + 1.609038305228046400f, 1.608810507610153100f, 1.608582650840896200f, + 1.608354734928653800f, + 1.608126759881805400f, 1.607898725708732900f, 1.607670632417820500f, + 1.607442480017454700f, + 1.607214268516024000f, 1.606985997921919000f, 1.606757668243532500f, + 1.606529279489259600f, + 1.606300831667497600f, 1.606072324786645500f, 1.605843758855105300f, + 1.605615133881280700f, + 1.605386449873577300f, 1.605157706840403300f, 1.604928904790168700f, + 1.604700043731286200f, + 1.604471123672170500f, 1.604242144621237800f, 1.604013106586907400f, + 1.603784009577600100f, + 1.603554853601739700f, 1.603325638667751000f, 1.603096364784061900f, + 1.602867031959102100f, + 1.602637640201303400f, 1.602408189519099800f, 1.602178679920927900f, + 1.601949111415226000f, + 1.601719484010434300f, 1.601489797714996000f, 1.601260052537355700f, + 1.601030248485960900f, + 1.600800385569260300f, 1.600570463795705700f, 1.600340483173750400f, + 1.600110443711850300f, + 1.599880345418463100f, 1.599650188302049100f, 1.599419972371070500f, + 1.599189697633991400f, + 1.598959364099278700f, 1.598728971775401000f, 1.598498520670828900f, + 1.598268010794035900f, + 1.598037442153496900f, 1.597806814757689200f, 1.597576128615092200f, + 1.597345383734188000f, + 1.597114580123460100f, 1.596883717791394800f, 1.596652796746479600f, + 1.596421816997205500f, + 1.596190778552064800f, 1.595959681419551800f, 1.595728525608163700f, + 1.595497311126399300f, + 1.595266037982759500f, 1.595034706185747500f, 1.594803315743869000f, + 1.594571866665631700f, + 1.594340358959544800f, 1.594108792634120600f, 1.593877167697873100f, + 1.593645484159318200f, + 1.593413742026974500f, 1.593181941309362400f, 1.592950082015004700f, + 1.592718164152426000f, + 1.592486187730153300f, 1.592254152756715600f, 1.592022059240644400f, + 1.591789907190473100f, + 1.591557696614737100f, 1.591325427521974100f, 1.591093099920724200f, + 1.590860713819529400f, + 1.590628269226933600f, 1.590395766151483400f, 1.590163204601727100f, + 1.589930584586215500f, + 1.589697906113501000f, 1.589465169192139100f, 1.589232373830686400f, + 1.588999520037702300f, + 1.588766607821748200f, 1.588533637191387400f, 1.588300608155185600f, + 1.588067520721711000f, + 1.587834374899533400f, 1.587601170697224600f, 1.587367908123358900f, + 1.587134587186513000f, + 1.586901207895265300f, 1.586667770258196600f, 1.586434274283889500f, + 1.586200719980929200f, + 1.585967107357902700f, 1.585733436423399000f, 1.585499707186010200f, + 1.585265919654329300f, + 1.585032073836952100f, 1.584798169742476400f, 1.584564207379502500f, + 1.584330186756632200f, + 1.584096107882470000f, 1.583861970765622100f, 1.583627775414697000f, + 1.583393521838305700f, + 1.583159210045060900f, 1.582924840043577400f, 1.582690411842472700f, + 1.582455925450365600f, + 1.582221380875877800f, 1.581986778127632700f, 1.581752117214255900f, + 1.581517398144375800f, + 1.581282620926621300f, 1.581047785569625400f, 1.580812892082021900f, + 1.580577940472447200f, + 1.580342930749539800f, 1.580107862921940700f, 1.579872736998292100f, + 1.579637552987239100f, + 1.579402310897428900f, 1.579167010737510600f, 1.578931652516135700f, + 1.578696236241957200f, + 1.578460761923630800f, 1.578225229569814700f, 1.577989639189168100f, + 1.577753990790353500f, + 1.577518284382034800f, 1.577282519972878200f, 1.577046697571552000f, + 1.576810817186727000f, + 1.576574878827075700f, 1.576338882501273000f, 1.576102828217995600f, + 1.575866715985922500f, + 1.575630545813735200f, 1.575394317710116600f, 1.575158031683752300f, + 1.574921687743330300f, + 1.574685285897539800f, 1.574448826155072400f, 1.574212308524622500f, + 1.573975733014886000f, + 1.573739099634561500f, 1.573502408392348600f, 1.573265659296950300f, + 1.573028852357070800f, + 1.572791987581417100f, 1.572555064978698100f, 1.572318084557624800f, + 1.572081046326909900f, + 1.571843950295269000f, 1.571606796471419100f, 1.571369584864080100f, + 1.571132315481973200f, + 1.570894988333822400f, 1.570657603428353300f, 1.570420160774294000f, + 1.570182660380374600f, + 1.569945102255327200f, 1.569707486407886600f, 1.569469812846788500f, + 1.569232081580771900f, + 1.568994292618577400f, 1.568756445968948000f, 1.568518541640628400f, + 1.568280579642366000f, + 1.568042559982909500f, 1.567804482671010500f, 1.567566347715422500f, + 1.567328155124900800f, + 1.567089904908203200f, 1.566851597074089500f, 1.566613231631321500f, + 1.566374808588663300f, + 1.566136327954881000f, 1.565897789738742900f, 1.565659193949019400f, + 1.565420540594482800f, + 1.565181829683907700f, 1.564943061226071100f, 1.564704235229751500f, + 1.564465351703730400f, + 1.564226410656790000f, 1.563987412097716200f, 1.563748356035296000f, + 1.563509242478319000f, + 1.563270071435576500f, 1.563030842915862100f, 1.562791556927971800f, + 1.562552213480703300f, + 1.562312812582856500f, 1.562073354243233700f, 1.561833838470639200f, + 1.561594265273878800f, + 1.561354634661761300f, 1.561114946643096900f, 1.560875201226698900f, + 1.560635398421381400f, + 1.560395538235961800f, 1.560155620679258400f, 1.559915645760092900f, + 1.559675613487288200f, + 1.559435523869669500f, 1.559195376916064700f, 1.558955172635302800f, + 1.558714911036215700f, + 1.558474592127637100f, 1.558234215918402600f, 1.557993782417350400f, + 1.557753291633320500f, + 1.557512743575155000f, 1.557272138251698300f, 1.557031475671796400f, + 1.556790755844298400f, + 1.556549978778054300f, 1.556309144481917300f, 1.556068252964741600f, + 1.555827304235384500f, + 1.555586298302704900f, 1.555345235175563900f, 1.555104114862824600f, + 1.554862937373352500f, + 1.554621702716015000f, 1.554380410899681300f, 1.554139061933223200f, + 1.553897655825514600f, + 1.553656192585431100f, 1.553414672221850700f, 1.553173094743653300f, + 1.552931460159721100f, + 1.552689768478938500f, 1.552448019710191300f, 1.552206213862368500f, + 1.551964350944360100f, + 1.551722430965059000f, 1.551480453933359800f, 1.551238419858159700f, + 1.550996328748356800f, + 1.550754180612852900f, 1.550511975460550500f, 1.550269713300355100f, + 1.550027394141174000f, + 1.549785017991916400f, 1.549542584861493900f, 1.549300094758820000f, + 1.549057547692810600f, + 1.548814943672383300f, 1.548572282706457900f, 1.548329564803956300f, + 1.548086789973802700f, + 1.547843958224923000f, 1.547601069566245900f, 1.547358124006701400f, + 1.547115121555221700f, + 1.546872062220741700f, 1.546628946012197800f, 1.546385772938528600f, + 1.546142543008675300f, + 1.545899256231580300f, 1.545655912616188800f, 1.545412512171447700f, + 1.545169054906306200f, + 1.544925540829715600f, 1.544681969950629300f, 1.544438342278002600f, + 1.544194657820792800f, + 1.543950916587959700f, 1.543707118588464800f, 1.543463263831272000f, + 1.543219352325347200f, + 1.542975384079658300f, 1.542731359103175300f, 1.542487277404870100f, + 1.542243138993717000f, + 1.541998943878692300f, 1.541754692068774600f, 1.541510383572944000f, + 1.541266018400183200f, + 1.541021596559476700f, 1.540777118059811100f, 1.540532582910175500f, + 1.540287991119560600f, + 1.540043342696959100f, 1.539798637651366400f, 1.539553875991779300f, + 1.539309057727197300f, + 1.539064182866621400f, 1.538819251419055100f, 1.538574263393503800f, + 1.538329218798974800f, + 1.538084117644477900f, 1.537838959939025200f, 1.537593745691629500f, + 1.537348474911307300f, + 1.537103147607076200f, 1.536857763787956400f, 1.536612323462969800f, + 1.536366826641140800f, + 1.536121273331495300f, 1.535875663543061700f, 1.535629997284870400f, + 1.535384274565953600f, + 1.535138495395346400f, 1.534892659782085100f, 1.534646767735208000f, + 1.534400819263756400f, + 1.534154814376772700f, 1.533908753083302200f, 1.533662635392391700f, + 1.533416461313090100f, + 1.533170230854448400f, 1.532923944025520200f, 1.532677600835360600f, + 1.532431201293027000f, + 1.532184745407578500f, 1.531938233188077100f, 1.531691664643585900f, + 1.531445039783170500f, + 1.531198358615898800f, 1.530951621150840700f, 1.530704827397067800f, + 1.530457977363654000f, + 1.530211071059675200f, 1.529964108494209700f, 1.529717089676337500f, + 1.529470014615140800f, + 1.529222883319703700f, 1.528975695799112500f, 1.528728452062455600f, + 1.528481152118823700f, + 1.528233795977309400f, 1.527986383647006500f, 1.527738915137012400f, + 1.527491390456425600f, + 1.527243809614346600f, 1.526996172619878900f, 1.526748479482126700f, + 1.526500730210197200f, + 1.526252924813199500f, 1.526005063300244900f, 1.525757145680446200f, + 1.525509171962918800f, + 1.525261142156779900f, 1.525013056271149000f, 1.524764914315147200f, + 1.524516716297898300f, + 1.524268462228527900f, 1.524020152116163200f, 1.523771785969934000f, + 1.523523363798972000f, + 1.523274885612411200f, 1.523026351419387100f, 1.522777761229038100f, + 1.522529115050503600f, + 1.522280412892925900f, 1.522031654765448900f, 1.521782840677218700f, + 1.521533970637383800f, + 1.521285044655094300f, 1.521036062739502300f, 1.520787024899762100f, + 1.520537931145030400f, + 1.520288781484465700f, 1.520039575927228500f, 1.519790314482481100f, + 1.519540997159388300f, + 1.519291623967116600f, 1.519042194914835200f, 1.518792710011714500f, + 1.518543169266927600f, + 1.518293572689648900f, 1.518043920289055900f, 1.517794212074327500f, + 1.517544448054644500f, + 1.517294628239190400f, 1.517044752637150000f, 1.516794821257710500f, + 1.516544834110061600f, + 1.516294791203394200f, 1.516044692546901800f, 1.515794538149779700f, + 1.515544328021225500f, + 1.515294062170438700f, 1.515043740606620800f, 1.514793363338975600f, + 1.514542930376708600f, + 1.514292441729027300f, 1.514041897405141700f, 1.513791297414263800f, + 1.513540641765606800f, + 1.513289930468387300f, 1.513039163531823000f, 1.512788340965133500f, + 1.512537462777541200f, + 1.512286528978270300f, 1.512035539576546600f, 1.511784494581598600f, + 1.511533394002656100f, + 1.511282237848951400f, 1.511031026129719100f, 1.510779758854195400f, + 1.510528436031618900f, + 1.510277057671229400f, 1.510025623782270000f, 1.509774134373984800f, + 1.509522589455620600f, + 1.509270989036425800f, 1.509019333125651200f, 1.508767621732549400f, + 1.508515854866375100f, + 1.508264032536385000f, 1.508012154751837700f, 1.507760221521994700f, + 1.507508232856118200f, + 1.507256188763473200f, 1.507004089253327000f, 1.506751934334948000f, + 1.506499724017607900f, + 1.506247458310579400f, 1.505995137223137500f, 1.505742760764559300f, + 1.505490328944124200f, + 1.505237841771113200f, 1.504985299254809800f, 1.504732701404498900f, + 1.504480048229468000f, + 1.504227339739006500f, 1.503974575942405700f, 1.503721756848958700f, + 1.503468882467961600f, + 1.503215952808711500f, 1.502962967880507600f, 1.502709927692651900f, + 1.502456832254447600f, + 1.502203681575200700f, 1.501950475664218600f, 1.501697214530810700f, + 1.501443898184289200f, + 1.501190526633967600f, 1.500937099889161600f, 1.500683617959188900f, + 1.500430080853369500f, + 1.500176488581024900f, 1.499922841151479600f, 1.499669138574058800f, + 1.499415380858090800f, + 1.499161568012905300f, 1.498907700047834600f, 1.498653776972212600f, + 1.498399798795375000f, + 1.498145765526660300f, 1.497891677175408500f, 1.497637533750961300f, + 1.497383335262663300f, + 1.497129081719860400f, 1.496874773131900800f, 1.496620409508134800f, + 1.496365990857914600f, + 1.496111517190594300f, 1.495856988515530400f, 1.495602404842080800f, + 1.495347766179606400f, + 1.495093072537469100f, 1.494838323925033400f, 1.494583520351665500f, + 1.494328661826734200f, + 1.494073748359609600f, 1.493818779959664300f, 1.493563756636272500f, + 1.493308678398810800f, + 1.493053545256657800f, 1.492798357219194100f, 1.492543114295801900f, + 1.492287816495866200f, + 1.492032463828773200f, 1.491777056303911700f, 1.491521593930672100f, + 1.491266076718446900f, + 1.491010504676631500f, 1.490754877814621800f, 1.490499196141816600f, + 1.490243459667616600f, + 1.489987668401424800f, 1.489731822352645500f, 1.489475921530685900f, + 1.489219965944954300f, + 1.488963955604861500f, 1.488707890519820600f, 1.488451770699245900f, + 1.488195596152554800f, + 1.487939366889165600f, 1.487683082918499300f, 1.487426744249978400f, + 1.487170350893028500f, + 1.486913902857075700f, 1.486657400151549600f, 1.486400842785880100f, + 1.486144230769501000f, + 1.485887564111846500f, 1.485630842822354100f, 1.485374066910462500f, + 1.485117236385612200f, + 1.484860351257246500f, 1.484603411534810300f, 1.484346417227750700f, + 1.484089368345516300f, + 1.483832264897558400f, 1.483575106893329600f, 1.483317894342285100f, + 1.483060627253882000f, + 1.482803305637578900f, 1.482545929502837100f, 1.482288498859119400f, + 1.482031013715890700f, + 1.481773474082618300f, 1.481515879968770900f, 1.481258231383819800f, + 1.481000528337237800f, + 1.480742770838499900f, 1.480484958897083200f, 1.480227092522466500f, + 1.479969171724131200f, + 1.479711196511560100f, 1.479453166894238100f, 1.479195082881652200f, + 1.478936944483291600f, + 1.478678751708647000f, 1.478420504567211900f, 1.478162203068481100f, + 1.477903847221951400f, + 1.477645437037121900f, 1.477386972523493800f, 1.477128453690569800f, + 1.476869880547855300f, + 1.476611253104856700f, 1.476352571371083700f, 1.476093835356046700f, + 1.475835045069259000f, + 1.475576200520235500f, 1.475317301718493300f, 1.475058348673551100f, + 1.474799341394929900f, + 1.474540279892153000f, 1.474281164174744900f, 1.474021994252233000f, + 1.473762770134145800f, + 1.473503491830014300f, 1.473244159349371700f, 1.472984772701752900f, + 1.472725331896694400f, + 1.472465836943735600f, 1.472206287852416900f, 1.471946684632281500f, + 1.471687027292874400f, + 1.471427315843742100f, 1.471167550294433700f, 1.470907730654499800f, + 1.470647856933493300f, + 1.470387929140969200f, 1.470127947286484100f, 1.469867911379596900f, + 1.469607821429868500f, + 1.469347677446861500f, 1.469087479440140300f, 1.468827227419272200f, + 1.468566921393825700f, + 1.468306561373371900f, 1.468046147367482600f, 1.467785679385733300f, + 1.467525157437700200f, + 1.467264581532962100f, 1.467003951681099800f, 1.466743267891695800f, + 1.466482530174334500f, + 1.466221738538602500f, 1.465960892994088800f, 1.465699993550383400f, + 1.465439040217079400f, + 1.465178033003770700f, 1.464916971920054100f, 1.464655856975527900f, + 1.464394688179792900f, + 1.464133465542451200f, 1.463872189073107500f, 1.463610858781367900f, + 1.463349474676840700f, + 1.463088036769136600f, 1.462826545067867700f, 1.462564999582648600f, + 1.462303400323095000f, + 1.462041747298825900f, 1.461780040519460800f, 1.461518279994622200f, + 1.461256465733934400f, + 1.460994597747023600f, 1.460732676043517800f, 1.460470700633046800f, + 1.460208671525243400f, + 1.459946588729741100f, 1.459684452256176300f, 1.459422262114186800f, + 1.459160018313412400f, + 1.458897720863495500f, 1.458635369774079500f, 1.458372965054810700f, + 1.458110506715337000f, + 1.457847994765308200f, 1.457585429214375700f, 1.457322810072193800f, + 1.457060137348418000f, + 1.456797411052706200f, 1.456534631194717800f, 1.456271797784114900f, + 1.456008910830560500f, + 1.455745970343720800f, 1.455482976333263100f, 1.455219928808857200f, + 1.454956827780174100f, + 1.454693673256887600f, 1.454430465248673300f, 1.454167203765208000f, + 1.453903888816171900f, + 1.453640520411245900f, 1.453377098560113100f, 1.453113623272459100f, + 1.452850094557971000f, + 1.452586512426338000f, 1.452322876887251400f, 1.452059187950404100f, + 1.451795445625491300f, + 1.451531649922210200f, 1.451267800850259500f, 1.451003898419340500f, + 1.450739942639155800f, + 1.450475933519410400f, 1.450211871069811300f, 1.449947755300067500f, + 1.449683586219889400f, + 1.449419363838989800f, 1.449155088167083600f, 1.448890759213887100f, + 1.448626376989119400f, + 1.448361941502500900f, 1.448097452763754000f, 1.447832910782603100f, + 1.447568315568775100f, + 1.447303667131997900f, 1.447038965482002200f, 1.446774210628520200f, + 1.446509402581286400f, + 1.446244541350036700f, 1.445979626944509300f, 1.445714659374444500f, + 1.445449638649584500f, + 1.445184564779673500f, 1.444919437774456700f, 1.444654257643682900f, + 1.444389024397101600f, + 1.444123738044464900f, 1.443858398595526400f, 1.443593006060042100f, + 1.443327560447769600f, + 1.443062061768468400f, 1.442796510031900500f, 1.442530905247829200f, + 1.442265247426020200f, + 1.441999536576240800f, 1.441733772708260600f, 1.441467955831850800f, + 1.441202085956784900f, + 1.440936163092837900f, 1.440670187249787600f, 1.440404158437412500f, + 1.440138076665494100f, + 1.439871941943815300f, 1.439605754282161400f, 1.439339513690319100f, + 1.439073220178077400f, + 1.438806873755226900f, 1.438540474431560600f, 1.438274022216873500f, + 1.438007517120961900f, + 1.437740959153624500f, 1.437474348324662100f, 1.437207684643876800f, + 1.436940968121073600f, + 1.436674198766058500f, 1.436407376588640000f, 1.436140501598628400f, + 1.435873573805835900f, + 1.435606593220076600f, 1.435339559851166500f, 1.435072473708924000f, + 1.434805334803169100f, + 1.434538143143723200f, 1.434270898740410700f, 1.434003601603057300f, + 1.433736251741490700f, + 1.433468849165540500f, 1.433201393885038500f, 1.432933885909818000f, + 1.432666325249714700f, + 1.432398711914566200f, 1.432131045914211600f, 1.431863327258492400f, + 1.431595555957251700f, + 1.431327732020334800f, 1.431059855457588600f, 1.430791926278862400f, + 1.430523944494007400f, + 1.430255910112876000f, 1.429987823145323100f, 1.429719683601205800f, + 1.429451491490382900f, + 1.429183246822714800f, 1.428914949608064200f, 1.428646599856295400f, + 1.428378197577275100f, + 1.428109742780871800f, 1.427841235476955400f, 1.427572675675398600f, + 1.427304063386075200f, + 1.427035398618861500f, 1.426766681383635500f, 1.426497911690277000f, + 1.426229089548668200f, + 1.425960214968693000f, 1.425691287960236600f, 1.425422308533187200f, + 1.425153276697434000f, + 1.424884192462868800f, 1.424615055839385300f, 1.424345866836878200f, + 1.424076625465245500f, + 1.423807331734385800f, 1.423537985654200800f, 1.423268587234593400f, + 1.422999136485468600f, + 1.422729633416733200f, 1.422460078038296300f, 1.422190470360068300f, + 1.421920810391962500f, + 1.421651098143893000f, 1.421381333625776600f, 1.421111516847531700f, + 1.420841647819078600f, + 1.420571726550339700f, 1.420301753051239400f, 1.420031727331703800f, + 1.419761649401660500f, + 1.419491519271040000f, 1.419221336949774100f, 1.418951102447796800f, + 1.418680815775043500f, + 1.418410476941452100f, 1.418140085956961900f, 1.417869642831514700f, + 1.417599147575054000f, + 1.417328600197524900f, 1.417058000708874700f, 1.416787349119052600f, + 1.416516645438009600f, + 1.416245889675698900f, 1.415975081842075300f, 1.415704221947095700f, + 1.415433310000718600f, + 1.415162346012905000f, 1.414891329993617200f, 1.414620261952819600f, + 1.414349141900479000f, + 1.414077969846563500f, 1.413806745801043500f, 1.413535469773890700f, + 1.413264141775079300f, + 1.412992761814585400f, 1.412721329902386900f, 1.412449846048463600f, + 1.412178310262796900f, + 1.411906722555370500f, 1.411635082936170100f, 1.411363391415182900f, + 1.411091648002398500f, + 1.410819852707807700f, 1.410548005541404100f, 1.410276106513182400f, + 1.410004155633139500f, + 1.409732152911274500f, 1.409460098357588200f, 1.409187991982083100f, + 1.408915833794763800f, + 1.408643623805636800f, 1.408371362024710500f, 1.408099048461995300f, + 1.407826683127503000f, + 1.407554266031248100f, 1.407281797183246500f, 1.407009276593515800f, + 1.406736704272076400f, + 1.406464080228949600f, 1.406191404474159000f, 1.405918677017730100f, + 1.405645897869690400f, + 1.405373067040069300f, 1.405100184538898000f, 1.404827250376209400f, + 1.404554264562038400f, + 1.404281227106422400f, 1.404008138019399800f, 1.403734997311011600f, + 1.403461804991300100f, + 1.403188561070310100f, 1.402915265558087700f, 1.402641918464681400f, + 1.402368519800141200f, + 1.402095069574519800f, 1.401821567797870300f, 1.401548014480249000f, + 1.401274409631713600f, + 1.401000753262323900f, 1.400727045382141400f, 1.400453286001229800f, + 1.400179475129653700f, + 1.399905612777481200f, 1.399631698954780800f, 1.399357733671623900f, + 1.399083716938083600f, + 1.398809648764234100f, 1.398535529160152400f, 1.398261358135917300f, + 1.397987135701609200f, + 1.397712861867310300f, 1.397438536643105000f, 1.397164160039079200f, + 1.396889732065321300f, + 1.396615252731921100f, 1.396340722048970300f, 1.396066140026562800f, + 1.395791506674794100f, + 1.395516822003761700f, 1.395242086023564800f, 1.394967298744304900f, + 1.394692460176085300f, + 1.394417570329010700f, 1.394142629213188000f, 1.393867636838725900f, + 1.393592593215735600f, + 1.393317498354329300f, 1.393042352264621600f, 1.392767154956728400f, + 1.392491906440768600f, + 1.392216606726861800f, 1.391941255825130100f, 1.391665853745697400f, + 1.391390400498689700f, + 1.391114896094234100f, 1.390839340542460600f, 1.390563733853500200f, + 1.390288076037486500f, + 1.390012367104554600f, 1.389736607064841100f, 1.389460795928485500f, + 1.389184933705628300f, + 1.388909020406412100f, 1.388633056040981600f, 1.388357040619483200f, + 1.388080974152065200f, + 1.387804856648877600f, 1.387528688120072600f, 1.387252468575804100f, + 1.386976198026228100f, + 1.386699876481501900f, 1.386423503951785200f, 1.386147080447239600f, + 1.385870605978028100f, + 1.385594080554316100f, 1.385317504186270900f, 1.385040876884061000f, + 1.384764198657857200f, + 1.384487469517832200f, 1.384210689474160600f, 1.383933858537019100f, + 1.383656976716585600f, + 1.383380044023040400f, 1.383103060466565300f, 1.382826026057344600f, + 1.382548940805563800f, + 1.382271804721410600f, 1.381994617815074400f, 1.381717380096746800f, + 1.381440091576620700f, + 1.381162752264891500f, 1.380885362171756300f, 1.380607921307413400f, + 1.380330429682064000f, + 1.380052887305910400f, 1.379775294189157000f, 1.379497650342010400f, + 1.379219955774678700f, + 1.378942210497371600f, 1.378664414520301500f, 1.378386567853681700f, + 1.378108670507728300f, + 1.377830722492658500f, 1.377552723818691500f, 1.377274674496048700f, + 1.376996574534953300f, + 1.376718423945630000f, 1.376440222738305700f, 1.376161970923209400f, + 1.375883668510570900f, + 1.375605315510623200f, 1.375326911933600200f, 1.375048457789738400f, + 1.374769953089275400f, + 1.374491397842451100f, 1.374212792059507100f, 1.373934135750687100f, + 1.373655428926236400f, + 1.373376671596402400f, 1.373097863771434200f, 1.372819005461582500f, + 1.372540096677100200f, + 1.372261137428242300f, 1.371982127725264800f, 1.371703067578426700f, + 1.371423956997988000f, + 1.371144795994210500f, 1.370865584577358300f, 1.370586322757697500f, + 1.370307010545495500f, + 1.370027647951022100f, 1.369748234984548000f, 1.369468771656347200f, + 1.369189257976694200f, + 1.368909693955866000f, 1.368630079604142000f, 1.368350414931802000f, + 1.368070699949128800f, + 1.367790934666406600f, 1.367511119093921800f, 1.367231253241962200f, + 1.366951337120818000f, + 1.366671370740780500f, 1.366391354112143500f, 1.366111287245202400f, + 1.365831170150254300f, + 1.365551002837598600f, 1.365270785317536100f, 1.364990517600369400f, + 1.364710199696403300f, + 1.364429831615944200f, 1.364149413369300600f, 1.363868944966782900f, + 1.363588426418702600f, + 1.363307857735373900f, 1.363027238927112300f, 1.362746570004235400f, + 1.362465850977062900f, + 1.362185081855915600f, 1.361904262651116900f, 1.361623393372991300f, + 1.361342474031866000f, + 1.361061504638069400f, 1.360780485201932300f, 1.360499415733786400f, + 1.360218296243966200f, + 1.359937126742807300f, 1.359655907240648000f, 1.359374637747827700f, + 1.359093318274687800f, + 1.358811948831571500f, 1.358530529428824400f, 1.358249060076792900f, + 1.357967540785826300f, + 1.357685971566275200f, 1.357404352428492000f, 1.357122683382830900f, + 1.356840964439648200f, + 1.356559195609301700f, 1.356277376902151900f, 1.355995508328559500f, + 1.355713589898888800f, + 1.355431621623504700f, 1.355149603512774400f, 1.354867535577067200f, + 1.354585417826753800f, + 1.354303250272206500f, 1.354021032923800300f, 1.353738765791911100f, + 1.353456448886917200f, + 1.353174082219199100f, 1.352891665799137900f, 1.352609199637117500f, + 1.352326683743523300f, + 1.352044118128742600f, 1.351761502803164900f, 1.351478837777180700f, + 1.351196123061183100f, + 1.350913358665566400f, 1.350630544600727200f, 1.350347680877063800f, + 1.350064767504976400f, + 1.349781804494866600f, 1.349498791857138400f, 1.349215729602197400f, + 1.348932617740450600f, + 1.348649456282307700f, 1.348366245238179500f, 1.348082984618478800f, + 1.347799674433620500f, + 1.347516314694020800f, 1.347232905410098200f, 1.346949446592273100f, + 1.346665938250967100f, + 1.346382380396604000f, 1.346098773039609700f, 1.345815116190411300f, + 1.345531409859438200f, + 1.345247654057121700f, 1.344963848793894200f, 1.344679994080190800f, + 1.344396089926448000f, + 1.344112136343103900f, 1.343828133340598800f, 1.343544080929374800f, + 1.343259979119875600f, + 1.342975827922546600f, 1.342691627347835500f, 1.342407377406191500f, + 1.342123078108065700f, + 1.341838729463910900f, 1.341554331484181600f, 1.341269884179334700f, + 1.340985387559828100f, + 1.340700841636122400f, 1.340416246418678800f, 1.340131601917961900f, + 1.339846908144436600f, + 1.339562165108570700f, 1.339277372820833400f, 1.338992531291695500f, + 1.338707640531629800f, + 1.338422700551110900f, 1.338137711360615200f, 1.337852672970621300f, + 1.337567585391608900f, + 1.337282448634059800f, 1.336997262708457900f, 1.336712027625288600f, + 1.336426743395039000f, + 1.336141410028198500f, 1.335856027535258000f, 1.335570595926709700f, + 1.335285115213048500f, + 1.334999585404770700f, 1.334714006512374400f, 1.334428378546359500f, + 1.334142701517227600f, + 1.333856975435482300f, 1.333571200311629100f, 1.333285376156174700f, + 1.332999502979628700f, + 1.332713580792501500f, 1.332427609605305400f, 1.332141589428554900f, + 1.331855520272766200f, + 1.331569402148457400f, 1.331283235066148100f, 1.330997019036359800f, + 1.330710754069615700f, + 1.330424440176441300f, 1.330138077367363200f, 1.329851665652910500f, + 1.329565205043613800f, + 1.329278695550004700f, 1.328992137182618100f, 1.328705529951989400f, + 1.328418873868656900f, + 1.328132168943159800f, 1.327845415186039000f, 1.327558612607838500f, + 1.327271761219102500f, + 1.326984861030378000f, 1.326697912052213500f, 1.326410914295159400f, + 1.326123867769767500f, + 1.325836772486591800f, 1.325549628456188100f, 1.325262435689113600f, + 1.324975194195928000f, + 1.324687903987191900f, 1.324400565073468300f, 1.324113177465321900f, + 1.323825741173318700f, + 1.323538256208027800f, 1.323250722580018500f, 1.322963140299862500f, + 1.322675509378133900f, + 1.322387829825407700f, 1.322100101652261100f, 1.321812324869273500f, + 1.321524499487024800f, + 1.321236625516098100f, 1.320948702967077400f, 1.320660731850549000f, + 1.320372712177100700f, + 1.320084643957322400f, 1.319796527201805300f, 1.319508361921142500f, + 1.319220148125929100f, + 1.318931885826762000f, 1.318643575034239800f, 1.318355215758962900f, + 1.318066808011533200f, + 1.317778351802554800f, 1.317489847142633300f, 1.317201294042376300f, + 1.316912692512393300f, + 1.316624042563294900f, 1.316335344205694200f, 1.316046597450205800f, + 1.315757802307445900f, + 1.315468958788033000f, 1.315180066902586800f, 1.314891126661728900f, + 1.314602138076083300f, + 1.314313101156274800f, 1.314024015912930600f, 1.313734882356679900f, + 1.313445700498152800f, + 1.313156470347981900f, 1.312867191916801100f, 1.312577865215246900f, + 1.312288490253956900f, + 1.311999067043570200f, 1.311709595594728000f, 1.311420075918073900f, + 1.311130508024252400f, + 1.310840891923910100f, 1.310551227627695400f, 1.310261515146258200f, + 1.309971754490250700f, + 1.309681945670326400f, 1.309392088697140900f, 1.309102183581351200f, + 1.308812230333616500f, + 1.308522228964597500f, 1.308232179484956500f, 1.307942081905358000f, + 1.307651936236467800f, + 1.307361742488954300f, 1.307071500673486800f, 1.306781210800736200f, + 1.306490872881376200f, + 1.306200486926081700f, 1.305910052945529200f, 1.305619570950396800f, + 1.305329040951365100f, + 1.305038462959116100f, 1.304747836984333300f, 1.304457163037702200f, + 1.304166441129910300f, + 1.303875671271646400f, 1.303584853473601200f, 1.303293987746467300f, + 1.303003074100939100f, + 1.302712112547712800f, 1.302421103097485900f, 1.302130045760958100f, + 1.301838940548830600f, + 1.301547787471806900f, 1.301256586540591600f, 1.300965337765891600f, + 1.300674041158414800f, + 1.300382696728871400f, 1.300091304487973800f, 1.299799864446435200f, + 1.299508376614971500f, + 1.299216841004299200f, 1.298925257625137800f, 1.298633626488207500f, + 1.298341947604231300f, + 1.298050220983932900f, 1.297758446638038700f, 1.297466624577275900f, + 1.297174754812374400f, + 1.296882837354065100f, 1.296590872213081200f, 1.296298859400157700f, + 1.296006798926030200f, + 1.295714690801437600f, 1.295422535037119800f, 1.295130331643818500f, + 1.294838080632277000f, + 1.294545782013240900f, 1.294253435797456900f, 1.293961041995673700f, + 1.293668600618642000f, + 1.293376111677113900f, 1.293083575181843500f, 1.292790991143586200f, + 1.292498359573099700f, + 1.292205680481143500f, 1.291912953878477900f, 1.291620179775866400f, + 1.291327358184073200f, + 1.291034489113864100f, 1.290741572576007400f, 1.290448608581273000f, + 1.290155597140431700f, + 1.289862538264257700f, 1.289569431963524900f, 1.289276278249010600f, + 1.288983077131493000f, + 1.288689828621752300f, 1.288396532730570400f, 1.288103189468731400f, + 1.287809798847019800f, + 1.287516360876223500f, 1.287222875567130900f, 1.286929342930532800f, + 1.286635762977221800f, + 1.286342135717991600f, 1.286048461163638000f, 1.285754739324958900f, + 1.285460970212753500f, + 1.285167153837822900f, 1.284873290210969900f, 1.284579379342998700f, + 1.284285421244715900f, + 1.283991415926929400f, 1.283697363400448900f, 1.283403263676086100f, + 1.283109116764654000f, + 1.282814922676967400f, 1.282520681423843000f, 1.282226393016099500f, + 1.281932057464557000f, + 1.281637674780037100f, 1.281343244973363700f, 1.281048768055361900f, + 1.280754244036858900f, + 1.280459672928683500f, 1.280165054741666300f, 1.279870389486639400f, + 1.279575677174437100f, + 1.279280917815894600f, 1.278986111421849900f, 1.278691258003142000f, + 1.278396357570611900f, + 1.278101410135101800f, 1.277806415707456700f, 1.277511374298522200f, + 1.277216285919146500f, + 1.276921150580179200f, 1.276625968292471000f, 1.276330739066875400f, + 1.276035462914247000f, + 1.275740139845442400f, 1.275444769871319600f, 1.275149353002738700f, + 1.274853889250561200f, + 1.274558378625650200f, 1.274262821138871300f, 1.273967216801090900f, + 1.273671565623178100f, + 1.273375867616002300f, 1.273080122790436000f, 1.272784331157352800f, + 1.272488492727628100f, + 1.272192607512139300f, 1.271896675521764900f, 1.271600696767385400f, + 1.271304671259883200f, + 1.271008599010142500f, 1.270712480029048800f, 1.270416314327489800f, + 1.270120101916354600f, + 1.269823842806533800f, 1.269527537008920300f, 1.269231184534408200f, + 1.268934785393893700f, + 1.268638339598274500f, 1.268341847158450200f, 1.268045308085321800f, + 1.267748722389792100f, + 1.267452090082765900f, 1.267155411175149500f, 1.266858685677851000f, + 1.266561913601780100f, + 1.266265094957848000f, 1.265968229756968100f, 1.265671318010055400f, + 1.265374359728026500f, + 1.265077354921799300f, 1.264780303602294200f, 1.264483205780432700f, + 1.264186061467138500f, + 1.263888870673336400f, 1.263591633409954000f, 1.263294349687918800f, + 1.262997019518161700f, + 1.262699642911614600f, 1.262402219879211300f, 1.262104750431887000f, + 1.261807234580578900f, + 1.261509672336225600f, 1.261212063709767900f, 1.260914408712147800f, + 1.260616707354309500f, + 1.260318959647198400f, 1.260021165601761900f, 1.259723325228949000f, + 1.259425438539710300f, + 1.259127505544998600f, 1.258829526255768000f, 1.258531500682973800f, + 1.258233428837574300f, + 1.257935310730528000f, 1.257637146372796400f, 1.257338935775342200f, + 1.257040678949129500f, + 1.256742375905124400f, 1.256444026654294400f, 1.256145631207609400f, + 1.255847189576040100f, + 1.255548701770560000f, 1.255250167802143000f, 1.254951587681765600f, + 1.254652961420405600f, + 1.254354289029042900f, 1.254055570518658500f, 1.253756805900235700f, + 1.253457995184759300f, + 1.253159138383215200f, 1.252860235506592100f, 1.252561286565879300f, + 1.252262291572068900f, + 1.251963250536153500f, 1.251664163469128300f, 1.251365030381989700f, + 1.251065851285736200f, + 1.250766626191367500f, 1.250467355109885500f, 1.250168038052293500f, + 1.249868675029596200f, + 1.249569266052800800f, 1.249269811132915200f, 1.248970310280950200f, + 1.248670763507917100f, + 1.248371170824829300f, 1.248071532242702100f, 1.247771847772552300f, + 1.247472117425398700f, + 1.247172341212261500f, 1.246872519144162300f, 1.246572651232124700f, + 1.246272737487174300f, + 1.245972777920338000f, 1.245672772542644400f, 1.245372721365123600f, + 1.245072624398807900f, + 1.244772481654731000f, 1.244472293143928300f, 1.244172058877436800f, + 1.243871778866295400f, + 1.243571453121544000f, 1.243271081654225400f, 1.242970664475383100f, + 1.242670201596062700f, + 1.242369693027311200f, 1.242069138780177400f, 1.241768538865712000f, + 1.241467893294967200f, + 1.241167202078996800f, 1.240866465228856100f, 1.240565682755603100f, + 1.240264854670295900f, + 1.239963980983995300f, 1.239663061707763700f, 1.239362096852665300f, + 1.239061086429765300f, + 1.238760030450130900f, 1.238458928924831600f, 1.238157781864937400f, + 1.237856589281521000f, + 1.237555351185656500f, 1.237254067588419400f, 1.236952738500886900f, + 1.236651363934138300f, + 1.236349943899254000f, 1.236048478407316500f, 1.235746967469409900f, + 1.235445411096619500f, + 1.235143809300033300f, 1.234842162090739700f, 1.234540469479829900f, + 1.234238731478396000f, + 1.233936948097532400f, 1.233635119348334400f, 1.233333245241899200f, + 1.233031325789326400f, + 1.232729361001716500f, 1.232427350890172000f, 1.232125295465796600f, + 1.231823194739696300f, + 1.231521048722978200f, 1.231218857426751700f, 1.230916620862127400f, + 1.230614339040217800f, + 1.230312011972136500f, 1.230009639668999500f, 1.229707222141924100f, + 1.229404759402029400f, + 1.229102251460436400f, 1.228799698328266700f, 1.228497100016644900f, + 1.228194456536696500f, + 1.227891767899548700f, 1.227589034116330700f, 1.227286255198173100f, + 1.226983431156208200f, + 1.226680562001569900f, 1.226377647745394000f, 1.226074688398817600f, + 1.225771683972980200f, + 1.225468634479021500f, 1.225165539928084300f, 1.224862400331312400f, + 1.224559215699851500f, + 1.224255986044848500f, 1.223952711377453100f, 1.223649391708814700f, + 1.223346027050086400f, + 1.223042617412421600f, 1.222739162806975900f, 1.222435663244906700f, + 1.222132118737372400f, + 1.221828529295533800f, 1.221524894930552800f, 1.221221215653593100f, + 1.220917491475820500f, + 1.220613722408401900f, 1.220309908462505800f, 1.220006049649302800f, + 1.219702145979964600f, + 1.219398197465665400f, 1.219094204117580300f, 1.218790165946886100f, + 1.218486082964761500f, + 1.218181955182386500f, 1.217877782610943700f, 1.217573565261616000f, + 1.217269303145589000f, + 1.216964996274049400f, 1.216660644658185600f, 1.216356248309187600f, + 1.216051807238247800f, + 1.215747321456559300f, 1.215442790975316700f, 1.215138215805717300f, + 1.214833595958959300f, + 1.214528931446242600f, 1.214224222278769100f, 1.213919468467741900f, + 1.213614670024366000f, + 1.213309826959847700f, 1.213004939285395400f, 1.212700007012219100f, + 1.212395030151530300f, + 1.212090008714541600f, 1.211784942712468300f, 1.211479832156526800f, + 1.211174677057934800f, + 1.210869477427912300f, 1.210564233277680500f, 1.210258944618462200f, + 1.209953611461482200f, + 1.209648233817966600f, 1.209342811699143600f, 1.209037345116242400f, + 1.208731834080493800f, + 1.208426278603131200f, 1.208120678695388600f, 1.207815034368502100f, + 1.207509345633709600f, + 1.207203612502250300f, 1.206897834985365000f, 1.206592013094296200f, + 1.206286146840288300f, + 1.205980236234587100f, 1.205674281288440000f, 1.205368282013096200f, + 1.205062238419806200f, + 1.204756150519822300f, 1.204450018324398900f, 1.204143841844791200f, + 1.203837621092256800f, + 1.203531356078054100f, 1.203225046813444000f, 1.202918693309688300f, + 1.202612295578050900f, + 1.202305853629797500f, 1.201999367476194400f, 1.201692837128510700f, + 1.201386262598016500f, + 1.201079643895983700f, 1.200772981033685800f, 1.200466274022397900f, + 1.200159522873396800f, + 1.199852727597960700f, 1.199545888207369700f, 1.199239004712905300f, + 1.198932077125851100f, + 1.198625105457491700f, 1.198318089719113200f, 1.198011029922004400f, + 1.197703926077454200f, + 1.197396778196754700f, 1.197089586291198500f, 1.196782350372080300f, + 1.196475070450696100f, + 1.196167746538343600f, 1.195860378646322700f, 1.195552966785933900f, + 1.195245510968480300f, + 1.194938011205265900f, 1.194630467507596500f, 1.194322879886780000f, + 1.194015248354125100f, + 1.193707572920943000f, 1.193399853598545500f, 1.193092090398246900f, + 1.192784283331362700f, + 1.192476432409210100f, 1.192168537643107900f, 1.191860599044376500f, + 1.191552616624337800f, + 1.191244590394315400f, 1.190936520365635000f, 1.190628406549622900f, + 1.190320248957608100f, + 1.190012047600920200f, 1.189703802490891000f, 1.189395513638853900f, + 1.189087181056143900f, + 1.188778804754097300f, 1.188470384744052100f, 1.188161921037348400f, + 1.187853413645327100f, + 1.187544862579331500f, 1.187236267850706000f, 1.186927629470796900f, + 1.186618947450951600f, + 1.186310221802519900f, 1.186001452536852300f, 1.185692639665301600f, + 1.185383783199222000f, + 1.185074883149969100f, 1.184765939528900500f, 1.184456952347374900f, + 1.184147921616753200f, + 1.183838847348397400f, 1.183529729553671500f, 1.183220568243940300f, + 1.182911363430571200f, + 1.182602115124932900f, 1.182292823338395100f, 1.181983488082330300f, + 1.181674109368111300f, + 1.181364687207113100f, 1.181055221610712400f, 1.180745712590287400f, + 1.180436160157217800f, + 1.180126564322885100f, 1.179816925098671900f, 1.179507242495962900f, + 1.179197516526144600f, + 1.178887747200604300f, 1.178577934530731700f, 1.178268078527917200f, + 1.177958179203553800f, + 1.177648236569035300f, 1.177338250635757700f, 1.177028221415118200f, + 1.176718148918515700f, + 1.176408033157350300f, 1.176097874143024600f, 1.175787671886942000f, + 1.175477426400507700f, + 1.175167137695128900f, 1.174856805782213500f, 1.174546430673171900f, + 1.174236012379415600f, + 1.173925550912357800f, 1.173615046283413200f, 1.173304498503998400f, + 1.172993907585530900f, + 1.172683273539430800f, 1.172372596377118800f, 1.172061876110017700f, + 1.171751112749551900f, + 1.171440306307147200f, 1.171129456794231200f, 1.170818564222232800f, + 1.170507628602582800f, + 1.170196649946713100f, 1.169885628266057900f, 1.169574563572052300f, + 1.169263455876133200f, + 1.168952305189739200f, 1.168641111524310700f, 1.168329874891289400f, + 1.168018595302118000f, + 1.167707272768241800f, 1.167395907301107100f, 1.167084498912162300f, + 1.166773047612856400f, + 1.166461553414641000f, 1.166150016328968600f, 1.165838436367293800f, + 1.165526813541072100f, + 1.165215147861761400f, 1.164903439340820900f, 1.164591687989710500f, + 1.164279893819892800f, + 1.163968056842831700f, 1.163656177069992500f, 1.163344254512841800f, + 1.163032289182848800f, + 1.162720281091483000f, 1.162408230250216100f, 1.162096136670521600f, + 1.161784000363874000f, + 1.161471821341749900f, 1.161159599615627000f, 1.160847335196984800f, + 1.160535028097304600f, + 1.160222678328068700f, 1.159910285900761700f, 1.159597850826869200f, + 1.159285373117878500f, + 1.158972852785278500f, 1.158660289840559800f, 1.158347684295214300f, + 1.158035036160735900f, + 1.157722345448619400f, 1.157409612170361600f, 1.157096836337461000f, + 1.156784017961417500f, + 1.156471157053732300f, 1.156158253625908700f, 1.155845307689450800f, + 1.155532319255865300f, + 1.155219288336659400f, 1.154906214943342700f, 1.154593099087426000f, + 1.154279940780421400f, + 1.153966740033842900f, 1.153653496859206000f, 1.153340211268028000f, + 1.153026883271827300f, + 1.152713512882124400f, 1.152400100110440700f, 1.152086644968299400f, + 1.151773147467225300f, + 1.151459607618745300f, 1.151146025434387000f, 1.150832400925680100f, + 1.150518734104155400f, + 1.150205024981345800f, 1.149891273568785400f, 1.149577479878009800f, + 1.149263643920556800f, + 1.148949765707964600f, 1.148635845251773800f, 1.148321882563526400f, + 1.148007877654766200f, + 1.147693830537038100f, 1.147379741221888500f, 1.147065609720865600f, + 1.146751436045519300f, + 1.146437220207400700f, 1.146122962218062600f, 1.145808662089060000f, + 1.145494319831947800f, + 1.145179935458284100f, 1.144865508979627800f, 1.144551040407539400f, + 1.144236529753581000f, + 1.143921977029316500f, 1.143607382246310600f, 1.143292745416130600f, + 1.142978066550344400f, + 1.142663345660522000f, 1.142348582758234900f, 1.142033777855056000f, + 1.141718930962559500f, + 1.141404042092321500f, 1.141089111255919800f, 1.140774138464933700f, + 1.140459123730943200f, + 1.140144067065530700f, 1.139828968480280300f, 1.139513827986776900f, + 1.139198645596607400f, + 1.138883421321360600f, 1.138568155172625700f, 1.138252847161994400f, + 1.137937497301059600f, + 1.137622105601416000f, 1.137306672074659900f, 1.136991196732388200f, + 1.136675679586200500f, + 1.136360120647697200f, 1.136044519928480800f, 1.135728877440154800f, + 1.135413193194324800f, + 1.135097467202597100f, 1.134781699476580300f, 1.134465890027884300f, + 1.134150038868120500f, + 1.133834146008902100f, 1.133518211461843200f, 1.133202235238559800f, + 1.132886217350669500f, + 1.132570157809791500f, 1.132254056627546300f, 1.131937913815556300f, + 1.131621729385444900f, + 1.131305503348837300f, 1.130989235717360100f, 1.130672926502642100f, + 1.130356575716312500f, + 1.130040183370002900f, 1.129723749475346000f, 1.129407274043976200f, + 1.129090757087529500f, + 1.128774198617643200f, 1.128457598645956600f, 1.128140957184109700f, + 1.127824274243744500f, + 1.127507549836505000f, 1.127190783974035800f, 1.126873976667983800f, + 1.126557127929996800f, + 1.126240237771724700f, 1.125923306204818400f, 1.125606333240930700f, + 1.125289318891715900f, + 1.124972263168829500f, 1.124655166083928800f, 1.124338027648672500f, + 1.124020847874721100f, + 1.123703626773736100f, 1.123386364357381200f, 1.123069060637320600f, + 1.122751715625221400f, + 1.122434329332750800f, 1.122116901771578400f, 1.121799432953375600f, + 1.121481922889814300f, + 1.121164371592568300f, 1.120846779073313400f, 1.120529145343726500f, + 1.120211470415486200f, + 1.119893754300272300f, 1.119575997009766300f, 1.119258198555651300f, + 1.118940358949611900f, + 1.118622478203333800f, 1.118304556328505200f, 1.117986593336814700f, + 1.117668589239953200f, + 1.117350544049612300f, 1.117032457777486200f, 1.116714330435269600f, + 1.116396162034659600f, + 1.116077952587353600f, 1.115759702105052000f, 1.115441410599455500f, + 1.115123078082267000f, + 1.114804704565190500f, 1.114486290059931900f, 1.114167834578198200f, + 1.113849338131698300f, + 1.113530800732142100f, 1.113212222391241500f, 1.112893603120710000f, + 1.112574942932261600f, + 1.112256241837613000f, 1.111937499848481900f, 1.111618716976587700f, + 1.111299893233650600f, + 1.110981028631393700f, 1.110662123181539900f, 1.110343176895814500f, + 1.110024189785944900f, + 1.109705161863658600f, 1.109386093140686000f, 1.109066983628758100f, + 1.108747833339607200f, + 1.108428642284968100f, 1.108109410476576300f, 1.107790137926169200f, + 1.107470824645485600f, + 1.107151470646265300f, 1.106832075940250600f, 1.106512640539184100f, + 1.106193164454811100f, + 1.105873647698877300f, 1.105554090283131100f, 1.105234492219321100f, + 1.104914853519198400f, + 1.104595174194514800f, 1.104275454257024300f, 1.103955693718482200f, + 1.103635892590644900f, + 1.103316050885270600f, 1.102996168614119000f, 1.102676245788951400f, + 1.102356282421530300f, + 1.102036278523620000f, 1.101716234106985700f, 1.101396149183395000f, + 1.101076023764616400f, + 1.100755857862419700f, 1.100435651488577100f, 1.100115404654861100f, + 1.099795117373046200f, + 1.099474789654909100f, 1.099154421512226600f, 1.098834012956778200f, + 1.098513564000344300f, + 1.098193074654706800f, 1.097872544931649100f, 1.097551974842956500f, + 1.097231364400415000f, + 1.096910713615813200f, 1.096590022500939700f, 1.096269291067585700f, + 1.095948519327543800f, + 1.095627707292607700f, 1.095306854974572800f, 1.094985962385235800f, + 1.094665029536395100f, + 1.094344056439850600f, 1.094023043107403200f, 1.093701989550856000f, + 1.093380895782013000f, + 1.093059761812680100f, 1.092738587654664300f, 1.092417373319774200f, + 1.092096118819820200f, + 1.091774824166613600f, 1.091453489371968100f, 1.091132114447697300f, + 1.090810699405617900f, + 1.090489244257547300f, 1.090167749015304300f, 1.089846213690709900f, + 1.089524638295585400f, + 1.089203022841754400f, 1.088881367341041800f, 1.088559671805274100f, + 1.088237936246279100f, + 1.087916160675885800f, 1.087594345105925300f, 1.087272489548229700f, + 1.086950594014632700f, + 1.086628658516969500f, 1.086306683067076900f, 1.085984667676792600f, + 1.085662612357956500f, + 1.085340517122409800f, 1.085018381981994500f, 1.084696206948555300f, + 1.084373992033937000f, + 1.084051737249986900f, 1.083729442608553300f, 1.083407108121486000f, + 1.083084733800636200f, + 1.082762319657857100f, 1.082439865705002500f, 1.082117371953928300f, + 1.081794838416491700f, + 1.081472265104551200f, 1.081149652029967000f, 1.080826999204601100f, + 1.080504306640315500f, + 1.080181574348975500f, 1.079858802342446900f, 1.079535990632596800f, + 1.079213139231294500f, + 1.078890248150409700f, 1.078567317401815100f, 1.078244346997383300f, + 1.077921336948988600f, + 1.077598287268508400f, 1.077275197967819000f, 1.076952069058800400f, + 1.076628900553332700f, + 1.076305692463297900f, 1.075982444800579700f, 1.075659157577062200f, + 1.075335830804633000f, + 1.075012464495178800f, 1.074689058660589700f, 1.074365613312755900f, + 1.074042128463569500f, + 1.073718604124924500f, 1.073395040308715400f, 1.073071437026839500f, + 1.072747794291194300f, + 1.072424112113678600f, 1.072100390506194500f, 1.071776629480643500f, + 1.071452829048929800f, + 1.071128989222958500f, 1.070805110014635900f, 1.070481191435870500f, + 1.070157233498571600f, + 1.069833236214650800f, 1.069509199596019800f, 1.069185123654592600f, + 1.068861008402285200f, + 1.068536853851013600f, 1.068212660012696700f, 1.067888426899253500f, + 1.067564154522606000f, + 1.067239842894676100f, 1.066915492027387600f, 1.066591101932666800f, + 1.066266672622439700f, + 1.065942204108635300f, 1.065617696403183400f, 1.065293149518014500f, + 1.064968563465062100f, + 1.064643938256259400f, 1.064319273903543000f, 1.063994570418849400f, + 1.063669827814116300f, + 1.063345046101285000f, 1.063020225292295300f, 1.062695365399091200f, + 1.062370466433616400f, + 1.062045528407815900f, 1.061720551333637600f, 1.061395535223029500f, + 1.061070480087941800f, + 1.060745385940325500f, 1.060420252792134000f, 1.060095080655320900f, + 1.059769869541841800f, + 1.059444619463654400f, 1.059119330432716700f, 1.058794002460989000f, + 1.058468635560432500f, + 1.058143229743009600f, 1.057817785020685100f, 1.057492301405424500f, + 1.057166778909195000f, + 1.056841217543965200f, 1.056515617321704500f, 1.056189978254385100f, + 1.055864300353978900f, + 1.055538583632461100f, 1.055212828101807200f, 1.054887033773993300f, + 1.054561200660999200f, + 1.054235328774803900f, 1.053909418127389400f, 1.053583468730738200f, + 1.053257480596834700f, + 1.052931453737664600f, 1.052605388165214700f, 1.052279283891473600f, + 1.051953140928431100f, + 1.051626959288079100f, 1.051300738982409800f, 1.050974480023417500f, + 1.050648182423098000f, + 1.050321846193448000f, 1.049995471346466300f, 1.049669057894152800f, + 1.049342605848508200f, + 1.049016115221536000f, 1.048689586025239700f, 1.048363018271625300f, + 1.048036411972699500f, + 1.047709767140470500f, 1.047383083786948700f, 1.047056361924144400f, + 1.046729601564071200f, + 1.046402802718742400f, 1.046075965400174300f, 1.045749089620383200f, + 1.045422175391386800f, + 1.045095222725206200f, 1.044768231633861100f, 1.044441202129375200f, + 1.044114134223771900f, + 1.043787027929076000f, 1.043459883257315400f, 1.043132700220517300f, + 1.042805478830712200f, + 1.042478219099930400f, 1.042150921040204200f, 1.041823584663568200f, + 1.041496209982056600f, + 1.041168797007707000f, 1.040841345752557200f, 1.040513856228645800f, + 1.040186328448014800f, + 1.039858762422705600f, 1.039531158164762400f, 1.039203515686230000f, + 1.038875834999155100f, + 1.038548116115585800f, 1.038220359047570500f, 1.037892563807160800f, + 1.037564730406408200f, + 1.037236858857366600f, 1.036908949172090900f, 1.036581001362636600f, + 1.036253015441062700f, + 1.035924991419427100f, 1.035596929309791300f, 1.035268829124216700f, + 1.034940690874766300f, + 1.034612514573505700f, 1.034284300232500000f, 1.033956047863817500f, + 1.033627757479526700f, + 1.033299429091697700f, 1.032971062712402700f, 1.032642658353714300f, + 1.032314216027707700f, + 1.031985735746457900f, 1.031657217522042900f, 1.031328661366541300f, + 1.031000067292032300f, + 1.030671435310598600f, 1.030342765434322200f, 1.030014057675287900f, + 1.029685312045581100f, + 1.029356528557288300f, 1.029027707222499100f, 1.028698848053302100f, + 1.028369951061789600f, + 1.028041016260053500f, 1.027712043660187600f, 1.027383033274288400f, + 1.027053985114451100f, + 1.026724899192775300f, 1.026395775521359500f, 1.026066614112305600f, + 1.025737414977715200f, + 1.025408178129692000f, 1.025078903580341600f, 1.024749591341769700f, + 1.024420241426085200f, + 1.024090853845396800f, 1.023761428611814600f, 1.023431965737451800f, + 1.023102465234420700f, + 1.022772927114837100f, 1.022443351390816400f, 1.022113738074476300f, + 1.021784087177936000f, + 1.021454398713315600f, 1.021124672692737000f, 1.020794909128323000f, + 1.020465108032198300f, + 1.020135269416488700f, 1.019805393293321100f, 1.019475479674824900f, + 1.019145528573129000f, + 1.018815540000365800f, 1.018485513968667500f, 1.018155450490168000f, + 1.017825349577003300f, + 1.017495211241309800f, 1.017165035495226400f, 1.016834822350892300f, + 1.016504571820448000f, + 1.016174283916036800f, 1.015843958649801600f, 1.015513596033888400f, + 1.015183196080442900f, + 1.014852758801613200f, 1.014522284209548900f, 1.014191772316400000f, + 1.013861223134318900f, + 1.013530636675459100f, 1.013200012951974700f, 1.012869351976022300f, + 1.012538653759758900f, + 1.012207918315344300f, 1.011877145654937400f, 1.011546335790700600f, + 1.011215488734796800f, + 1.010884604499389800f, 1.010553683096645900f, 1.010222724538731600f, + 1.009891728837815700f, + 1.009560696006067900f, 1.009229626055658800f, 1.008898518998761800f, + 1.008567374847549900f, + 1.008236193614199000f, 1.007904975310885300f, 1.007573719949786700f, + 1.007242427543082900f, + 1.006911098102953900f, 1.006579731641582500f, 1.006248328171152100f, + 1.005916887703846500f, + 1.005585410251852700f, 1.005253895827357800f, 1.004922344442551000f, + 1.004590756109621900f, + 1.004259130840762700f, 1.003927468648166100f, 1.003595769544025900f, + 1.003264033540538500f, + 1.002932260649900000f, 1.002600450884309800f, 1.002268604255967200f, + 1.001936720777072400f, + 1.001604800459829000f, 1.001272843316440000f, 1.000940849359111000f, + 1.000608818600048100f, + 1.000276751051459200f, 0.999944646725553720f, 0.999612505634541740f, + 0.999280327790635690f, + 0.998948113206048590f, 0.998615861892994560f, 0.998283573863690270f, + 0.997951249130352380f, + 0.997618887705200020f, 0.997286489600452630f, 0.996954054828332210f, + 0.996621583401061110f, + 0.996289075330862860f, 0.995956530629963810f, 0.995623949310589620f, + 0.995291331384969390f, + 0.994958676865332010f, 0.994625985763907820f, 0.994293258092929790f, + 0.993960493864630480f, + 0.993627693091245660f, 0.993294855785010760f, 0.992961981958163210f, + 0.992629071622942340f, + 0.992296124791587690f, 0.991963141476341460f, 0.991630121689446090f, + 0.991297065443145440f, + 0.990963972749685840f, 0.990630843621313260f, 0.990297678070276800f, + 0.989964476108825210f, + 0.989631237749210020f, 0.989297963003683330f, 0.988964651884498000f, + 0.988631304403909890f, + 0.988297920574174430f, 0.987964500407549910f, 0.987631043916294970f, + 0.987297551112669370f, + 0.986964022008935520f, 0.986630456617355380f, 0.986296854950194260f, + 0.985963217019717120f, + 0.985629542838190490f, 0.985295832417883540f, 0.984962085771065030f, + 0.984628302910006580f, + 0.984294483846980150f, 0.983960628594258810f, 0.983626737164118190f, + 0.983292809568833910f, + 0.982958845820684270f, 0.982624845931947320f, 0.982290809914904140f, + 0.981956737781835790f, + 0.981622629545024770f, 0.981288485216756160f, 0.980954304809314670f, + 0.980620088334987930f, + 0.980285835806063770f, 0.979951547234831130f, 0.979617222633581860f, + 0.979282862014607240f, + 0.978948465390201530f, 0.978614032772659240f, 0.978279564174275860f, + 0.977945059607349900f, + 0.977610519084179290f, 0.977275942617064740f, 0.976941330218307540f, + 0.976606681900209830f, + 0.976271997675076550f, 0.975937277555212310f, 0.975602521552924600f, + 0.975267729680520560f, + 0.974932901950310350f, 0.974598038374604350f, 0.974263138965714040f, + 0.973928203735953460f, + 0.973593232697636530f, 0.973258225863079970f, 0.972923183244600480f, + 0.972588104854516410f, + 0.972252990705148370f, 0.971917840808816710f, 0.971582655177844700f, + 0.971247433824555920f, + 0.970912176761274950f, 0.970576884000329040f, 0.970241555554045230f, + 0.969906191434753320f, + 0.969570791654783330f, 0.969235356226466500f, 0.968899885162136650f, + 0.968564378474127350f, + 0.968228836174775060f, 0.967893258276415700f, 0.967557644791388500f, + 0.967221995732032490f, + 0.966886311110688230f, 0.966550590939698640f, 0.966214835231406500f, + 0.965879043998157160f, + 0.965543217252296420f, 0.965207355006171270f, 0.964871457272131190f, + 0.964535524062525410f, + 0.964199555389706030f, 0.963863551266025300f, 0.963527511703836660f, + 0.963191436715496120f, + 0.962855326313359350f, 0.962519180509785130f, 0.962182999317132030f, + 0.961846782747760140f, + 0.961510530814032040f, 0.961174243528309820f, 0.960837920902958720f, + 0.960501562950343390f, + 0.960165169682831830f, 0.959828741112791590f, 0.959492277252591900f, + 0.959155778114604400f, + 0.958819243711200310f, 0.958482674054753960f, 0.958146069157639560f, + 0.957809429032232760f, + 0.957472753690911670f, 0.957136043146054050f, 0.956799297410040440f, + 0.956462516495251940f, + 0.956125700414070300f, 0.955788849178880300f, 0.955451962802066120f, + 0.955115041296014880f, + 0.954778084673113870f, 0.954441092945751630f, 0.954104066126319150f, + 0.953767004227207060f, + 0.953429907260809120f, 0.953092775239518630f, 0.952755608175731570f, + 0.952418406081844360f, + 0.952081168970254520f, 0.951743896853362140f, 0.951406589743566950f, + 0.951069247653271500f, + 0.950731870594878510f, 0.950394458580791970f, 0.950057011623418380f, + 0.949719529735163940f, + 0.949382012928437600f, 0.949044461215648560f, 0.948706874609207220f, + 0.948369253121526420f, + 0.948031596765018910f, 0.947693905552099870f, 0.947356179495185020f, + 0.947018418606691230f, + 0.946680622899037650f, 0.946342792384643360f, 0.946004927075930090f, + 0.945667026985319680f, + 0.945329092125236190f, 0.944991122508104350f, 0.944653118146349890f, + 0.944315079052401090f, + 0.943977005238685770f, 0.943638896717634900f, 0.943300753501679190f, + 0.942962575603250920f, + 0.942624363034784580f, 0.942286115808714690f, 0.941947833937478270f, + 0.941609517433512730f, + 0.941271166309256450f, 0.940932780577150460f, 0.940594360249635500f, + 0.940255905339155150f, + 0.939917415858152920f, 0.939578891819073720f, 0.939240333234364950f, + 0.938901740116473540f, + 0.938563112477849630f, 0.938224450330942590f, 0.937885753688204820f, + 0.937547022562088990f, + 0.937208256965048840f, 0.936869456909540490f, 0.936530622408019990f, + 0.936191753472946030f, + 0.935852850116777430f, 0.935513912351974450f, 0.935174940190999560f, + 0.934835933646314900f, + 0.934496892730385720f, 0.934157817455677160f, 0.933818707834655590f, + 0.933479563879790030f, + 0.933140385603548840f, 0.932801173018403480f, 0.932461926136825660f, + 0.932122644971287830f, + 0.931783329534265240f, 0.931443979838232900f, 0.931104595895668410f, + 0.930765177719049210f, + 0.930425725320855430f, 0.930086238713567440f, 0.929746717909666790f, + 0.929407162921637610f, + 0.929067573761963250f, 0.928727950443130500f, 0.928388292977625930f, + 0.928048601377937210f, + 0.927708875656554800f, 0.927369115825968480f, 0.927029321898671270f, + 0.926689493887155820f, + 0.926349631803916270f, 0.926009735661449170f, 0.925669805472250860f, + 0.925329841248820340f, + 0.924989843003656610f, 0.924649810749260110f, 0.924309744498133750f, + 0.923969644262779830f, + 0.923629510055703820f, 0.923289341889410480f, 0.922949139776407800f, + 0.922608903729203570f, + 0.922268633760306990f, 0.921928329882229390f, 0.921587992107482210f, + 0.921247620448579440f, + 0.920907214918035070f, 0.920566775528364410f, 0.920226302292085460f, + 0.919885795221715540f, + 0.919545254329774850f, 0.919204679628783720f, 0.918864071131263780f, + 0.918523428849739030f, + 0.918182752796733110f, 0.917842042984772340f, 0.917501299426383480f, + 0.917160522134094160f, + 0.916819711120434700f, 0.916478866397934850f, 0.916137987979127270f, + 0.915797075876544350f, + 0.915456130102721200f, 0.915115150670193110f, 0.914774137591496510f, + 0.914433090879170130f, + 0.914092010545752620f, 0.913750896603785280f, 0.913409749065809520f, + 0.913068567944367970f, + 0.912727353252005710f, 0.912386105001267270f, 0.912044823204700370f, + 0.911703507874852440f, + 0.911362159024272310f, 0.911020776665511290f, 0.910679360811120000f, + 0.910337911473652390f, + 0.909996428665661990f, 0.909654912399703860f, 0.909313362688335290f, + 0.908971779544113350f, + 0.908630162979597760f, 0.908288513007348140f, 0.907946829639926790f, + 0.907605112889895870f, + 0.907263362769819000f, 0.906921579292262250f, 0.906579762469791110f, + 0.906237912314974080f, + 0.905896028840379560f, 0.905554112058577170f, 0.905212161982139160f, + 0.904870178623637170f, + 0.904528161995645670f, 0.904186112110739510f, 0.903844028981494190f, + 0.903501912620488070f, + 0.903159763040298880f, 0.902817580253507450f, 0.902475364272694370f, + 0.902133115110441470f, + 0.901790832779333250f, 0.901448517291953520f, 0.901106168660889110f, + 0.900763786898726380f, + 0.900421372018054500f, 0.900078924031462610f, 0.899736442951541320f, + 0.899393928790883420f, + 0.899051381562081310f, 0.898708801277730340f, 0.898366187950425780f, + 0.898023541592764210f, + 0.897680862217344440f, 0.897338149836764960f, 0.896995404463627350f, + 0.896652626110532870f, + 0.896309814790084090f, 0.895966970514885940f, 0.895624093297543110f, + 0.895281183150662960f, + 0.894938240086852970f, 0.894595264118721810f, 0.894252255258880410f, + 0.893909213519939460f, + 0.893566138914512420f, 0.893223031455212530f, 0.892879891154655380f, + 0.892536718025457090f, + 0.892193512080234670f, 0.891850273331607600f, 0.891507001792195000f, + 0.891163697474618880f, + 0.890820360391500920f, 0.890476990555464480f, 0.890133587979135000f, + 0.889790152675137610f, + 0.889446684656100330f, 0.889103183934650930f, 0.888759650523418650f, + 0.888416084435035060f, + 0.888072485682131150f, 0.887728854277341050f, 0.887385190233298650f, + 0.887041493562639060f, + 0.886697764277999840f, 0.886354002392018110f, 0.886010207917333760f, + 0.885666380866586560f, + 0.885322521252418610f, 0.884978629087472270f, 0.884634704384391180f, + 0.884290747155821230f, + 0.883946757414407980f, 0.883602735172799640f, 0.883258680443644530f, + 0.882914593239592320f, + 0.882570473573294660f, 0.882226321457403320f, 0.881882136904572400f, + 0.881537919927456340f, + 0.881193670538710450f, 0.880849388750992610f, 0.880505074576960370f, + 0.880160728029273920f, + 0.879816349120593590f, 0.879471937863580690f, 0.879127494270899090f, + 0.878783018355212220f, + 0.878438510129186170f, 0.878093969605486800f, 0.877749396796782770f, + 0.877404791715742370f, + 0.877060154375035710f, 0.876715484787334630f, 0.876370782965310900f, + 0.876026048921639160f, + 0.875681282668993700f, 0.875336484220050390f, 0.874991653587487090f, + 0.874646790783981660f, + 0.874301895822214290f, 0.873956968714865500f, 0.873612009474616810f, + 0.873267018114152300f, + 0.872921994646155390f, 0.872576939083312460f, 0.872231851438309840f, + 0.871886731723835020f, + 0.871541579952577750f, 0.871196396137227660f, 0.870851180290476810f, + 0.870505932425017060f, + 0.870160652553543020f, 0.869815340688749220f, 0.869469996843331370f, + 0.869124621029987670f, + 0.868779213261415610f, 0.868433773550315810f, 0.868088301909388680f, + 0.867742798351335720f, + 0.867397262888861100f, 0.867051695534668210f, 0.866706096301463340f, + 0.866360465201952980f, + 0.866014802248844420f, 0.865669107454847490f, 0.865323380832671800f, + 0.864977622395029290f, + 0.864631832154632240f, 0.864286010124194040f, 0.863940156316430170f, + 0.863594270744056040f, + 0.863248353419789670f, 0.862902404356348570f, 0.862556423566453230f, + 0.862210411062823810f, + 0.861864366858181910f, 0.861518290965251340f, 0.861172183396755500f, + 0.860826044165420630f, + 0.860479873283972910f, 0.860133670765139580f, 0.859787436621650360f, + 0.859441170866234390f, + 0.859094873511623840f, 0.858748544570550610f, 0.858402184055747750f, + 0.858055791979950740f, + 0.857709368355894840f, 0.857362913196317630f, 0.857016426513956930f, + 0.856669908321551650f, + 0.856323358631843170f, 0.855976777457572280f, 0.855630164811482460f, + 0.855283520706317080f, + 0.854936845154821930f, 0.854590138169742830f, 0.854243399763827020f, + 0.853896629949823630f, + 0.853549828740481690f, 0.853202996148552880f, 0.852856132186788910f, + 0.852509236867942440f, + 0.852162310204768740f, 0.851815352210022470f, 0.851468362896461110f, + 0.851121342276842110f, + 0.850774290363923820f, 0.850427207170467380f, 0.850080092709233130f, + 0.849732946992984290f, + 0.849385770034483680f, 0.849038561846496730f, 0.848691322441788910f, + 0.848344051833126780f, + 0.847996750033279350f, 0.847649417055015060f, 0.847302052911105160f, + 0.846954657614320980f, + 0.846607231177434640f, 0.846259773613221020f, 0.845912284934454140f, + 0.845564765153910990f, + 0.845217214284368690f, 0.844869632338605130f, 0.844522019329400630f, + 0.844174375269535320f, + 0.843826700171791620f, 0.843478994048952440f, 0.843131256913801420f, + 0.842783488779124570f, + 0.842435689657707650f, 0.842087859562339000f, 0.841739998505806610f, + 0.841392106500900900f, + 0.841044183560412770f, 0.840696229697133760f, 0.840348244923857960f, + 0.840000229253379030f, + 0.839652182698493290f, 0.839304105271996950f, 0.838955996986687550f, + 0.838607857855364740f, + 0.838259687890827830f, 0.837911487105878820f, 0.837563255513319780f, + 0.837214993125953600f, + 0.836866699956585690f, 0.836518376018021260f, 0.836170021323067610f, + 0.835821635884532730f, + 0.835473219715225040f, 0.835124772827955830f, 0.834776295235535540f, + 0.834427786950777460f, + 0.834079247986494690f, 0.833730678355502630f, 0.833382078070616820f, + 0.833033447144653880f, + 0.832684785590432690f, 0.832336093420771970f, 0.831987370648492710f, + 0.831638617286416190f, + 0.831289833347364620f, 0.830941018844162600f, 0.830592173789634240f, + 0.830243298196606360f, + 0.829894392077905720f, 0.829545455446360270f, 0.829196488314800080f, + 0.828847490696055010f, + 0.828498462602957340f, 0.828149404048339590f, 0.827800315045035150f, + 0.827451195605879990f, + 0.827102045743709160f, 0.826752865471360950f, 0.826403654801672770f, + 0.826054413747485010f, + 0.825705142321637720f, 0.825355840536972420f, 0.825006508406332490f, + 0.824657145942561230f, + 0.824307753158504460f, 0.823958330067008030f, 0.823608876680918760f, + 0.823259393013085820f, + 0.822909879076357930f, 0.822560334883586490f, 0.822210760447622980f, + 0.821861155781319800f, + 0.821511520897531660f, 0.821161855809112830f, 0.820812160528920360f, + 0.820462435069811090f, + 0.820112679444643060f, 0.819762893666276530f, 0.819413077747571440f, + 0.819063231701390170f, + 0.818713355540594880f, 0.818363449278050270f, 0.818013512926620940f, + 0.817663546499172720f, + 0.817313550008573640f, 0.816963523467691410f, 0.816613466889396070f, + 0.816263380286557980f, + 0.815913263672048310f, 0.815563117058740630f, 0.815212940459508210f, + 0.814862733887226740f, + 0.814512497354771830f, 0.814162230875020380f, 0.813811934460851430f, + 0.813461608125143560f, + 0.813111251880778150f, 0.812760865740636440f, 0.812410449717600570f, + 0.812060003824555230f, + 0.811709528074384460f, 0.811359022479975040f, 0.811008487054213360f, + 0.810657921809988410f, + 0.810307326760189020f, 0.809956701917705080f, 0.809606047295428950f, + 0.809255362906252440f, + 0.808904648763069890f, 0.808553904878775760f, 0.808203131266265420f, + 0.807852327938436750f, + 0.807501494908186900f, 0.807150632188415760f, 0.806799739792023240f, + 0.806448817731910130f, + 0.806097866020979660f, 0.805746884672134620f, 0.805395873698280360f, + 0.805044833112322000f, + 0.804693762927166100f, 0.804342663155721230f, 0.803991533810895500f, + 0.803640374905599810f, + 0.803289186452744390f, 0.802937968465242240f, 0.802586720956006250f, + 0.802235443937950320f, + 0.801884137423990890f, 0.801532801427043530f, 0.801181435960026780f, + 0.800830041035858750f, + 0.800478616667459010f, 0.800127162867749210f, 0.799775679649650460f, + 0.799424167026086540f, + 0.799072625009981330f, 0.798721053614259490f, 0.798369452851848020f, + 0.798017822735673680f, + 0.797666163278665570f, 0.797314474493752810f, 0.796962756393865600f, + 0.796611008991936490f, + 0.796259232300897350f, 0.795907426333682830f, 0.795555591103226930f, + 0.795203726622466520f, + 0.794851832904338360f, 0.794499909961779990f, 0.794147957807731400f, + 0.793795976455132220f, + 0.793443965916924570f, 0.793091926206050400f, 0.792739857335452710f, + 0.792387759318077150f, + 0.792035632166868230f, 0.791683475894773720f, 0.791331290514740830f, + 0.790979076039718180f, + 0.790626832482656310f, 0.790274559856505520f, 0.789922258174218570f, + 0.789569927448748320f, + 0.789217567693048520f, 0.788865178920075130f, 0.788512761142783790f, + 0.788160314374132590f, + 0.787807838627079260f, 0.787455333914584220f, 0.787102800249607550f, + 0.786750237645110430f, + 0.786397646114056490f, 0.786045025669408700f, 0.785692376324132690f, + 0.785339698091194080f, + 0.784986990983559170f, 0.784634255014197040f, 0.784281490196075850f, + 0.783928696542166680f, + 0.783575874065440270f, 0.783223022778868350f, 0.782870142695425320f, + 0.782517233828084580f, + 0.782164296189822530f, 0.781811329793615120f, 0.781458334652439630f, + 0.781105310779275470f, + 0.780752258187101480f, 0.780399176888899150f, 0.780046066897649550f, + 0.779692928226336290f, + 0.779339760887942880f, 0.778986564895453810f, 0.778633340261856040f, + 0.778280087000135730f, + 0.777926805123281830f, 0.777573494644283050f, 0.777220155576129220f, + 0.776866787931812410f, + 0.776513391724324210f, 0.776159966966658680f, 0.775806513671809860f, + 0.775453031852772920f, + 0.775099521522545020f, 0.774745982694123090f, 0.774392415380506400f, + 0.774038819594694230f, + 0.773685195349686940f, 0.773331542658487140f, 0.772977861534096640f, + 0.772624151989520280f, + 0.772270414037761980f, 0.771916647691828660f, 0.771562852964726710f, + 0.771209029869463940f, + 0.770855178419050050f, 0.770501298626494410f, 0.770147390504808960f, + 0.769793454067005500f, + 0.769439489326096850f, 0.769085496295098040f, 0.768731474987023660f, + 0.768377425414890850f, + 0.768023347591716640f, 0.767669241530518850f, 0.767315107244318060f, + 0.766960944746133740f, + 0.766606754048988260f, 0.766252535165903970f, 0.765898288109903900f, + 0.765544012894013530f, + 0.765189709531257760f, 0.764835378034664170f, 0.764481018417259680f, + 0.764126630692073870f, + 0.763772214872136200f, 0.763417770970477140f, 0.763063299000129260f, + 0.762708798974124800f, + 0.762354270905498450f, 0.761999714807284790f, 0.761645130692519490f, + 0.761290518574240350f, + 0.760935878465484720f, 0.760581210379292380f, 0.760226514328703140f, + 0.759871790326757670f, + 0.759517038386499090f, 0.759162258520969860f, 0.758807450743214760f, + 0.758452615066278920f, + 0.758097751503208020f, 0.757742860067050380f, 0.757387940770853360f, + 0.757032993627667290f, + 0.756678018650541630f, 0.756323015852528700f, 0.755967985246680520f, + 0.755612926846050080f, + 0.755257840663692730f, 0.754902726712663120f, 0.754547585006018600f, + 0.754192415556816380f, + 0.753837218378114460f, 0.753481993482973400f, 0.753126740884452970f, + 0.752771460595615500f, + 0.752416152629523330f, 0.752060816999239660f, 0.751705453717829930f, + 0.751350062798359140f, + 0.750994644253894730f, 0.750639198097504010f, 0.750283724342255320f, + 0.749928223001219310f, + 0.749572694087465850f, 0.749217137614067500f, 0.748861553594096340f, + 0.748505942040627040f, + 0.748150302966733790f, 0.747794636385492150f, 0.747438942309979870f, + 0.747083220753273820f, + 0.746727471728453770f, 0.746371695248599140f, 0.746015891326790470f, + 0.745660059976110400f, + 0.745304201209641030f, 0.744948315040467210f, 0.744592401481673270f, + 0.744236460546344850f, + 0.743880492247569580f, 0.743524496598434670f, 0.743168473612029980f, + 0.742812423301444810f, + 0.742456345679769810f, 0.742100240760097840f, 0.741744108555520860f, + 0.741387949079133860f, + 0.741031762344030790f, 0.740675548363308620f, 0.740319307150063780f, + 0.739963038717393880f, + 0.739606743078398690f, 0.739250420246177380f, 0.738894070233831800f, + 0.738537693054463370f, + 0.738181288721174830f, 0.737824857247070810f, 0.737468398645255490f, + 0.737111912928835710f, + 0.736755400110918000f, 0.736398860204609870f, 0.736042293223021060f, + 0.735685699179260850f, + 0.735329078086440880f, 0.734972429957672760f, 0.734615754806068890f, + 0.734259052644744230f, + 0.733902323486812610f, 0.733545567345390890f, 0.733188784233595240f, + 0.732831974164544150f, + 0.732475137151356370f, 0.732118273207151170f, 0.731761382345050280f, + 0.731404464578174760f, + 0.731047519919648340f, 0.730690548382594280f, 0.730333549980137110f, + 0.729976524725403530f, + 0.729619472631519270f, 0.729262393711613280f, 0.728905287978813600f, + 0.728548155446249730f, + 0.728190996127053180f, 0.727833810034354990f, 0.727476597181288540f, + 0.727119357580987220f, + 0.726762091246585200f, 0.726404798191218950f, 0.726047478428024420f, + 0.725690131970139980f, + 0.725332758830703360f, 0.724975359022855150f, 0.724617932559735390f, + 0.724260479454485130f, + 0.723902999720247850f, 0.723545493370166160f, 0.723187960417385530f, + 0.722830400875050790f, + 0.722472814756308090f, 0.722115202074305680f, 0.721757562842191060f, + 0.721399897073114470f, + 0.721042204780225960f, 0.720684485976676230f, 0.720326740675618530f, + 0.719968968890205230f, + 0.719611170633591480f, 0.719253345918932090f, 0.718895494759382860f, + 0.718537617168101610f, + 0.718179713158245800f, 0.717821782742975370f, 0.717463825935449550f, + 0.717105842748830160f, + 0.716747833196278770f, 0.716389797290958090f, 0.716031735046032900f, + 0.715673646474667140f, + 0.715315531590027700f, 0.714957390405280950f, 0.714599222933594240f, + 0.714241029188137260f, + 0.713882809182079030f, 0.713524562928591010f, 0.713166290440844450f, + 0.712807991732011590f, + 0.712449666815266890f, 0.712091315703784260f, 0.711732938410739810f, + 0.711374534949309800f, + 0.711016105332671340f, 0.710657649574003460f, 0.710299167686484930f, + 0.709940659683296890f, + 0.709582125577619790f, 0.709223565382636760f, 0.708864979111530680f, + 0.708506366777485130f, + 0.708147728393686340f, 0.707789063973319310f, 0.707430373529572170f, + 0.707071657075632460f, + 0.706712914624688770f, 0.706354146189931750f, 0.705995351784551530f, + 0.705636531421740880f, + 0.705277685114692020f, 0.704918812876598410f, 0.704559914720655490f, + 0.704200990660058150f, + 0.703842040708003820f, 0.703483064877689630f, 0.703124063182313690f, + 0.702765035635076310f, + 0.702405982249177160f, 0.702046903037818250f, 0.701687798014201110f, + 0.701328667191529980f, + 0.700969510583008600f, 0.700610328201841660f, 0.700251120061236020f, + 0.699891886174398130f, + 0.699532626554536630f, 0.699173341214860190f, 0.698814030168578240f, + 0.698454693428902320f, + 0.698095331009043640f, 0.697735942922215520f, 0.697376529181631400f, + 0.697017089800505250f, + 0.696657624792053730f, 0.696298134169492380f, 0.695938617946039510f, + 0.695579076134912990f, + 0.695219508749331800f, 0.694859915802517050f, 0.694500297307689140f, + 0.694140653278070950f, + 0.693780983726884790f, 0.693421288667355530f, 0.693061568112707690f, + 0.692701822076166820f, + 0.692342050570960430f, 0.691982253610315510f, 0.691622431207461700f, + 0.691262583375628180f, + 0.690902710128045050f, 0.690542811477944610f, 0.690182887438558710f, + 0.689822938023121220f, + 0.689462963244866330f, 0.689102963117028790f, 0.688742937652845550f, + 0.688382886865552930f, + 0.688022810768389670f, 0.687662709374594510f, 0.687302582697406850f, + 0.686942430750068330f, + 0.686582253545819920f, 0.686222051097905130f, 0.685861823419566700f, + 0.685501570524050140f, + 0.685141292424600310f, 0.684780989134463280f, 0.684420660666887120f, + 0.684060307035119440f, + 0.683699928252410110f, 0.683339524332008840f, 0.682979095287166160f, + 0.682618641131135020f, + 0.682258161877167370f, 0.681897657538517720f, 0.681537128128440470f, + 0.681176573660190910f, + 0.680815994147026320f, 0.680455389602203310f, 0.680094760038981280f, + 0.679734105470619080f, + 0.679373425910376310f, 0.679012721371515250f, 0.678651991867297080f, + 0.678291237410985510f, + 0.677930458015843620f, 0.677569653695137220f, 0.677208824462131490f, + 0.676847970330092700f, + 0.676487091312289350f, 0.676126187421989040f, 0.675765258672461950f, + 0.675404305076978020f, + 0.675043326648808170f, 0.674682323401225250f, 0.674321295347501510f, + 0.673960242500911690f, + 0.673599164874730370f, 0.673238062482232950f, 0.672876935336696900f, + 0.672515783451398950f, + 0.672154606839618470f, 0.671793405514634180f, 0.671432179489727110f, + 0.671070928778178090f, + 0.670709653393269050f, 0.670348353348283690f, 0.669987028656505170f, + 0.669625679331219300f, + 0.669264305385711360f, 0.668902906833267590f, 0.668541483687176590f, + 0.668180035960725840f, + 0.667818563667205600f, 0.667457066819905800f, 0.667095545432117240f, + 0.666733999517132860f, + 0.666372429088244790f, 0.666010834158747840f, 0.665649214741936390f, + 0.665287570851105680f, + 0.664925902499553190f, 0.664564209700575500f, 0.664202492467472090f, + 0.663840750813541210f, + 0.663478984752084110f, 0.663117194296401260f, 0.662755379459794350f, + 0.662393540255567070f, + 0.662031676697022450f, 0.661669788797465960f, 0.661307876570202740f, + 0.660945940028538900f, + 0.660583979185782600f, 0.660221994055241400f, 0.659859984650225110f, + 0.659497950984043510f, + 0.659135893070007080f, 0.658773810921428500f, 0.658411704551619570f, + 0.658049573973894850f, + 0.657687419201568260f, 0.657325240247955020f, 0.656963037126372160f, + 0.656600809850135910f, + 0.656238558432565400f, 0.655876282886978410f, 0.655513983226695960f, + 0.655151659465038060f, + 0.654789311615326050f, 0.654426939690883280f, 0.654064543705032310f, + 0.653702123671098150f, + 0.653339679602405470f, 0.652977211512280050f, 0.652614719414049580f, + 0.652252203321041060f, + 0.651889663246583930f, 0.651527099204007310f, 0.651164511206641320f, + 0.650801899267818060f, + 0.650439263400868990f, 0.650076603619127890f, 0.649713919935928420f, + 0.649351212364604910f, + 0.648988480918494040f, 0.648625725610931460f, 0.648262946455255510f, + 0.647900143464803730f, + 0.647537316652916140f, 0.647174466032932490f, 0.646811591618193350f, + 0.646448693422041360f, + 0.646085771457818310f, 0.645722825738868860f, 0.645359856278536980f, + 0.644996863090167570f, + 0.644633846187107620f, 0.644270805582703550f, 0.643907741290304040f, + 0.643544653323257610f, + 0.643181541694913480f, 0.642818406418622980f, 0.642455247507736860f, + 0.642092064975608220f, + 0.641728858835589830f, 0.641365629101035340f, 0.641002375785300500f, + 0.640639098901740200f, + 0.640275798463712080f, 0.639912474484572560f, 0.639549126977681070f, + 0.639185755956396480f, + 0.638822361434078330f, 0.638458943424088490f, 0.638095501939787920f, + 0.637732036994540290f, + 0.637368548601708660f, 0.637005036774657030f, 0.636641501526751590f, + 0.636277942871357530f, + 0.635914360821842830f, 0.635550755391574910f, 0.635187126593922070f, + 0.634823474442254840f, + 0.634459798949942640f, 0.634096100130357660f, 0.633732377996871770f, + 0.633368632562857470f, + 0.633004863841689520f, 0.632641071846741790f, 0.632277256591390780f, + 0.631913418089012020f, + 0.631549556352983710f, 0.631185671396683470f, 0.630821763233490040f, + 0.630457831876783950f, + 0.630093877339945260f, 0.629729899636356280f, 0.629365898779399080f, + 0.629001874782456500f, + 0.628637827658913300f, 0.628273757422153860f, 0.627909664085564810f, + 0.627545547662532230f, + 0.627181408166443410f, 0.626817245610687520f, 0.626453060008652860f, + 0.626088851373730380f, + 0.625724619719310480f, 0.625360365058784670f, 0.624996087405546350f, + 0.624631786772988030f, + 0.624267463174504880f, 0.623903116623491180f, 0.623538747133343780f, + 0.623174354717459190f, + 0.622809939389234460f, 0.622445501162069090f, 0.622081040049361490f, + 0.621716556064512820f, + 0.621352049220923570f, 0.620987519531995270f, 0.620622967011131400f, + 0.620258391671734690f, + 0.619893793527210410f, 0.619529172590963410f, 0.619164528876399280f, + 0.618799862396925750f, + 0.618435173165949760f, 0.618070461196880800f, 0.617705726503127720f, + 0.617340969098100430f, + 0.616976188995210780f, 0.616611386207870040f, 0.616246560749491690f, + 0.615881712633488340f, + 0.615516841873275490f, 0.615151948482267840f, 0.614787032473881110f, + 0.614422093861533010f, + 0.614057132658640590f, 0.613692148878623000f, 0.613327142534899510f, + 0.612962113640889710f, + 0.612597062210015750f, 0.612231988255698470f, 0.611866891791361560f, + 0.611501772830428060f, + 0.611136631386322020f, 0.610771467472469460f, 0.610406281102295440f, + 0.610041072289227990f, + 0.609675841046694030f, 0.609310587388121830f, 0.608945311326941520f, + 0.608580012876582370f, + 0.608214692050476290f, 0.607849348862054220f, 0.607483983324749510f, + 0.607118595451995420f, + 0.606753185257225550f, 0.606387752753876020f, 0.606022297955381760f, + 0.605656820875180360f, + 0.605291321526709060f, 0.604925799923405670f, 0.604560256078710220f, + 0.604194690006061960f, + 0.603829101718902580f, 0.603463491230673220f, 0.603097858554815790f, + 0.602732203704774650f, + 0.602366526693992930f, 0.602000827535916330f, 0.601635106243990190f, + 0.601269362831660550f, + 0.600903597312375640f, 0.600537809699582810f, 0.600172000006731770f, + 0.599806168247271620f, + 0.599440314434653620f, 0.599074438582328780f, 0.598708540703749010f, + 0.598342620812368000f, + 0.597976678921638860f, 0.597610715045016950f, 0.597244729195957500f, + 0.596878721387916090f, + 0.596512691634350830f, 0.596146639948718640f, 0.595780566344478960f, + 0.595414470835091030f, + 0.595048353434014630f, 0.594682214154711790f, 0.594316053010643270f, + 0.593949870015273000f, + 0.593583665182063740f, 0.593217438524479500f, 0.592851190055986300f, + 0.592484919790049140f, + 0.592118627740135460f, 0.591752313919712170f, 0.591385978342248260f, + 0.591019621021212420f, + 0.590653241970074180f, 0.590286841202305120f, 0.589920418731375800f, + 0.589553974570759530f, + 0.589187508733928890f, 0.588821021234357310f, 0.588454512085520460f, + 0.588087981300892900f, + 0.587721428893951850f, 0.587354854878173850f, 0.586988259267036350f, + 0.586621642074019120f, + 0.586255003312600500f, 0.585888342996261690f, 0.585521661138483250f, + 0.585154957752746730f, + 0.584788232852535560f, 0.584421486451332410f, 0.584054718562622140f, + 0.583687929199888990f, + 0.583321118376619710f, 0.582954286106300290f, 0.582587432402417840f, + 0.582220557278461340f, + 0.581853660747918780f, 0.581486742824280810f, 0.581119803521037650f, + 0.580752842851679940f, + 0.580385860829700780f, 0.580018857468592270f, 0.579651832781848730f, + 0.579284786782964360f, + 0.578917719485433800f, 0.578550630902754050f, 0.578183521048421080f, + 0.577816389935933090f, + 0.577449237578788300f, 0.577082063990485340f, 0.576714869184524860f, + 0.576347653174406840f, + 0.575980415973633590f, 0.575613157595706530f, 0.575245878054129520f, + 0.574878577362406000f, + 0.574511255534040030f, 0.574143912582537940f, 0.573776548521405030f, + 0.573409163364148930f, + 0.573041757124277180f, 0.572674329815297640f, 0.572306881450720390f, + 0.571939412044054740f, + 0.571571921608812320f, 0.571204410158504090f, 0.570836877706642270f, + 0.570469324266740570f, + 0.570101749852312100f, 0.569734154476872480f, 0.569366538153936560f, + 0.568998900897020210f, + 0.568631242719641270f, 0.568263563635316600f, 0.567895863657565500f, + 0.567528142799906490f, + 0.567160401075860410f, 0.566792638498947680f, 0.566424855082689470f, + 0.566057050840608870f, + 0.565689225786228160f, 0.565321379933072190f, 0.564953513294665140f, + 0.564585625884531870f, + 0.564217717716199550f, 0.563849788803194140f, 0.563481839159044150f, + 0.563113868797277870f, + 0.562745877731423820f, 0.562377865975012940f, 0.562009833541575080f, + 0.561641780444642640f, + 0.561273706697747450f, 0.560905612314422150f, 0.560537497308201240f, + 0.560169361692618440f, + 0.559801205481210040f, 0.559433028687510990f, 0.559064831325059240f, + 0.558696613407391630f, + 0.558328374948046320f, 0.557960115960563050f, 0.557591836458480870f, + 0.557223536455341280f, + 0.556855215964685120f, 0.556486875000054000f, 0.556118513574991650f, + 0.555750131703040880f, + 0.555381729397746880f, 0.555013306672654360f, 0.554644863541308600f, + 0.554276400017257090f, + 0.553907916114046440f, 0.553539411845225590f, 0.553170887224342820f, + 0.552802342264947400f, + 0.552433776980590490f, 0.552065191384822350f, 0.551696585491195710f, + 0.551327959313262280f, + 0.550959312864576220f, 0.550590646158691240f, 0.550221959209161620f, + 0.549853252029543830f, + 0.549484524633393480f, 0.549115777034268170f, 0.548747009245725500f, + 0.548378221281323520f, + 0.548009413154622370f, 0.547640584879181100f, 0.547271736468561530f, + 0.546902867936324590f, + 0.546533979296032200f, 0.546165070561248080f, 0.545796141745535150f, + 0.545427192862458780f, + 0.545058223925583670f, 0.544689234948475210f, 0.544320225944701200f, + 0.543951196927828010f, + 0.543582147911424560f, 0.543213078909059120f, 0.542843989934301940f, + 0.542474881000723050f, + 0.542105752121893050f, 0.541736603311384620f, 0.541367434582769480f, + 0.540998245949621760f, + 0.540629037425515050f, 0.540259809024023600f, 0.539890560758723770f, + 0.539521292643190930f, + 0.539152004691002770f, 0.538782696915736770f, 0.538413369330970610f, + 0.538044021950284450f, + 0.537674654787257180f, 0.537305267855470390f, 0.536935861168504670f, + 0.536566434739941920f, + 0.536196988583365510f, 0.535827522712358230f, 0.535458037140505110f, + 0.535088531881390050f, + 0.534719006948599860f, 0.534349462355720230f, 0.533979898116337950f, + 0.533610314244041710f, + 0.533240710752419080f, 0.532871087655060300f, 0.532501444965554960f, + 0.532131782697493170f, + 0.531762100864467290f, 0.531392399480068670f, 0.531022678557890980f, + 0.530652938111527360f, + 0.530283178154571710f, 0.529913398700619820f, 0.529543599763266700f, + 0.529173781356109600f, + 0.528803943492745180f, 0.528434086186771010f, 0.528064209451786560f, + 0.527694313301390160f, + 0.527324397749182720f, 0.526954462808764120f, 0.526584508493736840f, + 0.526214534817702310f, + 0.525844541794263210f, 0.525474529437023890f, 0.525104497759587900f, + 0.524734446775560910f, + 0.524364376498548390f, 0.523994286942156220f, 0.523624178119992400f, + 0.523254050045663940f, + 0.522883902732780290f, 0.522513736194950230f, 0.522143550445783310f, + 0.521773345498891090f, + 0.521403121367884030f, 0.521032878066375100f, 0.520662615607976660f, + 0.520292334006301820f, + 0.519922033274965560f, 0.519551713427582000f, 0.519181374477767470f, + 0.518811016439137520f, + 0.518440639325310040f, 0.518070243149902240f, 0.517699827926532130f, + 0.517329393668819580f, + 0.516958940390383700f, 0.516588468104845820f, 0.516217976825826600f, + 0.515847466566947580f, + 0.515476937341832310f, 0.515106389164103120f, 0.514735822047384990f, + 0.514365236005302040f, + 0.513994631051479240f, 0.513624007199543600f, 0.513253364463121090f, + 0.512882702855839920f, + 0.512512022391327980f, 0.512141323083213470f, 0.511770604945127050f, + 0.511399867990697920f, + 0.511029112233557960f, 0.510658337687338040f, 0.510287544365671140f, + 0.509916732282189920f, + 0.509545901450527690f, 0.509175051884319660f, 0.508804183597200140f, + 0.508433296602805670f, + 0.508062390914772230f, 0.507691466546736580f, 0.507320523512337470f, + 0.506949561825212450f, + 0.506578581499001590f, 0.506207582547344550f, 0.505836564983881190f, + 0.505465528822253710f, + 0.505094474076103310f, 0.504723400759073290f, 0.504352308884806750f, + 0.503981198466947000f, + 0.503610069519139780f, 0.503238922055029400f, 0.502867756088262840f, + 0.502496571632486070f, + 0.502125368701347050f, 0.501754147308493770f, 0.501382907467574190f, + 0.501011649192238950f, + 0.500640372496137020f, 0.500269077392920150f, 0.499897763896239410f, + 0.499526432019746450f, + 0.499155081777094940f, 0.498783713181937540f, 0.498412326247929250f, + 0.498040920988724490f, + 0.497669497417978280f, 0.497298055549347750f, 0.496926595396488870f, + 0.496555116973059980f, + 0.496183620292718900f, 0.495812105369124070f, 0.495440572215935850f, + 0.495069020846813650f, + 0.494697451275419140f, 0.494325863515413130f, 0.493954257580458580f, + 0.493582633484217940f, + 0.493210991240354450f, 0.492839330862533120f, 0.492467652364417970f, + 0.492095955759675460f, + 0.491724241061971320f, 0.491352508284972070f, 0.490980757442346090f, + 0.490608988547760690f, + 0.490237201614885710f, 0.489865396657390210f, 0.489493573688943970f, + 0.489121732723218740f, + 0.488749873773885120f, 0.488377996854616250f, 0.488006101979084450f, + 0.487634189160962910f, + 0.487262258413926560f, 0.486890309751649490f, 0.486518343187807900f, + 0.486146358736077200f, + 0.485774356410135000f, 0.485402336223658360f, 0.485030298190324950f, + 0.484658242323814380f, + 0.484286168637805270f, 0.483914077145978560f, 0.483541967862014480f, + 0.483169840799594130f, + 0.482797695972400300f, 0.482425533394114920f, 0.482053353078422120f, + 0.481681155039005550f, + 0.481308939289549380f, 0.480936705843739820f, 0.480564454715261990f, + 0.480192185917803270f, + 0.479819899465050160f, 0.479447595370691370f, 0.479075273648415010f, + 0.478702934311909910f, + 0.478330577374866780f, 0.477958202850975230f, 0.477585810753927250f, + 0.477213401097414220f, + 0.476840973895128200f, 0.476468529160763100f, 0.476096066908011760f, + 0.475723587150569390f, + 0.475351089902130650f, 0.474978575176390750f, 0.474606042987046840f, + 0.474233493347795020f, + 0.473860926272333670f, 0.473488341774360670f, 0.473115739867574380f, + 0.472743120565675250f, + 0.472370483882362520f, 0.471997829831337810f, 0.471625158426301700f, + 0.471252469680957190f, + 0.470879763609006460f, 0.470507040224152460f, 0.470134299540099940f, + 0.469761541570552780f, + 0.469388766329217000f, 0.469015973829798090f, 0.468643164086002100f, + 0.468270337111537040f, + 0.467897492920109850f, 0.467524631525429830f, 0.467151752941205530f, + 0.466778857181146260f, + 0.466405944258963200f, 0.466033014188366350f, 0.465660066983068220f, + 0.465287102656780530f, + 0.464914121223215740f, 0.464541122696088100f, 0.464168107089110940f, + 0.463795074415999760f, + 0.463422024690469060f, 0.463048957926235630f, 0.462675874137015720f, + 0.462302773336526080f, + 0.461929655538485470f, 0.461556520756611410f, 0.461183369004623920f, + 0.460810200296242310f, + 0.460437014645186440f, 0.460063812065178160f, 0.459690592569938270f, + 0.459317356173189750f, + 0.458944102888655060f, 0.458570832730057170f, 0.458197545711121090f, + 0.457824241845570630f, + 0.457450921147131930f, 0.457077583629530550f, 0.456704229306492570f, + 0.456330858191746010f, + 0.455957470299017840f, 0.455584065642037350f, 0.455210644234532610f, + 0.454837206090234200f, + 0.454463751222871910f, 0.454090279646176210f, 0.453716791373879380f, + 0.453343286419712720f, + 0.452969764797409750f, 0.452596226520703360f, 0.452222671603327130f, + 0.451849100059016350f, + 0.451475511901505420f, 0.451101907144530910f, 0.450728285801828830f, + 0.450354647887135640f, + 0.449980993414189900f, 0.449607322396728900f, 0.449233634848492320f, + 0.448859930783219170f, + 0.448486210214649020f, 0.448112473156523420f, 0.447738719622582710f, + 0.447364949626569590f, + 0.446991163182225700f, 0.446617360303294910f, 0.446243541003520480f, + 0.445869705296646270f, + 0.445495853196417930f, 0.445121984716580210f, 0.444748099870879880f, + 0.444374198673063330f, + 0.444000281136877280f, 0.443626347276070590f, 0.443252397104390790f, + 0.442878430635587910f, + 0.442504447883411090f, 0.442130448861610240f, 0.441756433583937120f, + 0.441382402064142250f, + 0.441008354315978680f, 0.440634290353198510f, 0.440260210189554690f, + 0.439886113838801880f, + 0.439512001314693700f, 0.439137872630986080f, 0.438763727801433690f, + 0.438389566839793740f, + 0.438015389759822630f, 0.437641196575277220f, 0.437266987299916590f, + 0.436892761947498260f, + 0.436518520531782470f, 0.436144263066528480f, 0.435769989565496290f, + 0.435395700042447710f, + 0.435021394511143410f, 0.434647072985346380f, 0.434272735478819010f, + 0.433898382005324050f, + 0.433524012578626440f, 0.433149627212489670f, 0.432775225920679740f, + 0.432400808716961900f, + 0.432026375615101930f, 0.431651926628867530f, 0.431277461772025310f, + 0.430902981058344070f, + 0.430528484501591540f, 0.430153972115537800f, 0.429779443913952170f, + 0.429404899910604490f, + 0.429030340119266550f, 0.428655764553708960f, 0.428281173227704760f, + 0.427906566155026040f, + 0.427531943349445720f, 0.427157304824738350f, 0.426782650594677570f, + 0.426407980673039090f, + 0.426033295073598160f, 0.425658593810130330f, 0.425283876896413280f, + 0.424909144346223290f, + 0.424534396173339160f, 0.424159632391538870f, 0.423784853014600950f, + 0.423410058056305830f, + 0.423035247530432810f, 0.422660421450763490f, 0.422285579831078230f, + 0.421910722685159720f, + 0.421535850026790060f, 0.421160961869751720f, 0.420786058227829220f, + 0.420411139114805770f, + 0.420036204544466940f, 0.419661254530597550f, 0.419286289086983070f, + 0.418911308227410740f, + 0.418536311965666650f, 0.418161300315539220f, 0.417786273290816130f, + 0.417411230905285650f, + 0.417036173172737830f, 0.416661100106961610f, 0.416286011721748230f, + 0.415910908030888200f, + 0.415535789048172620f, 0.415160654787394280f, 0.414785505262345030f, + 0.414410340486818910f, + 0.414035160474608700f, 0.413659965239509710f, 0.413284754795316230f, + 0.412909529155823300f, + 0.412534288334827750f, 0.412159032346125280f, 0.411783761203513790f, + 0.411408474920790520f, + 0.411033173511753220f, 0.410657856990201580f, 0.410282525369933980f, + 0.409907178664751180f, + 0.409531816888453190f, 0.409156440054840590f, 0.408781048177715660f, + 0.408405641270879690f, + 0.408030219348136270f, 0.407654782423288010f, 0.407279330510138260f, + 0.406903863622492260f, + 0.406528381774153900f, 0.406152884978929480f, 0.405777373250624070f, + 0.405401846603045010f, + 0.405026305049998980f, 0.404650748605293040f, 0.404275177282736260f, + 0.403899591096136380f, + 0.403523990059303620f, 0.403148374186047210f, 0.402772743490177110f, + 0.402397097985504990f, + 0.402021437685841480f, 0.401645762604999350f, 0.401270072756790610f, + 0.400894368155027990f, + 0.400518648813525830f, 0.400142914746097480f, 0.399767165966558420f, + 0.399391402488723400f, + 0.399015624326407800f, 0.398639831493428740f, 0.398264024003602220f, + 0.397888201870746420f, + 0.397512365108678430f, 0.397136513731217500f, 0.396760647752182230f, + 0.396384767185391620f, + 0.396008872044666730f, 0.395632962343827170f, 0.395257038096694990f, + 0.394881099317091370f, + 0.394505146018838130f, 0.394129178215758820f, 0.393753195921675850f, + 0.393377199150413860f, + 0.393001187915796750f, 0.392625162231649010f, 0.392249122111796800f, + 0.391873067570065240f, + 0.391496998620281590f, 0.391120915276272410f, 0.390744817551864850f, + 0.390368705460887750f, + 0.389992579017168830f, 0.389616438234538010f, 0.389240283126824070f, + 0.388864113707858060f, + 0.388487929991470140f, 0.388111731991491180f, 0.387735519721753690f, + 0.387359293196089140f, + 0.386983052428331030f, 0.386606797432312350f, 0.386230528221866430f, + 0.385854244810828530f, + 0.385477947213032580f, 0.385101635442314900f, 0.384725309512510880f, + 0.384348969437456610f, + 0.383972615230989860f, 0.383596246906947210f, 0.383219864479167560f, + 0.382843467961488940f, + 0.382467057367749940f, 0.382090632711791060f, 0.381714194007451380f, + 0.381337741268572390f, + 0.380961274508994250f, 0.380584793742559550f, 0.380208298983109930f, + 0.379831790244487540f, + 0.379455267540536490f, 0.379078730885099520f, 0.378702180292021630f, + 0.378325615775147170f, + 0.377949037348320800f, 0.377572445025389230f, 0.377195838820197690f, + 0.376819218746593910f, + 0.376442584818424570f, 0.376065937049537060f, 0.375689275453780500f, + 0.375312600045002780f, + 0.374935910837054080f, 0.374559207843783660f, 0.374182491079041500f, + 0.373805760556679190f, + 0.373429016290547200f, 0.373052258294498230f, 0.372675486582383640f, + 0.372298701168057190f, + 0.371921902065371730f, 0.371545089288180640f, 0.371168262850339210f, + 0.370791422765701320f, + 0.370414569048123140f, 0.370037701711460170f, 0.369660820769568240f, + 0.369283926236305070f, + 0.368907018125527120f, 0.368530096451093140f, 0.368153161226860980f, + 0.367776212466689010f, + 0.367399250184437480f, 0.367022274393965340f, 0.366645285109133750f, + 0.366268282343803150f, + 0.365891266111834370f, 0.365514236427090080f, 0.365137193303431750f, + 0.364760136754723020f, + 0.364383066794826350f, 0.364005983437606320f, 0.363628886696926890f, + 0.363251776586652310f, + 0.362874653120648700f, 0.362497516312780990f, 0.362120366176916230f, + 0.361743202726920790f, + 0.361366025976661450f, 0.360988835940006750f, 0.360611632630824020f, + 0.360234416062982840f, + 0.359857186250351960f, 0.359479943206800550f, 0.359102686946199680f, + 0.358725417482419150f, + 0.358348134829330870f, 0.357970839000806010f, 0.357593530010716310f, + 0.357216207872935120f, + 0.356838872601334680f, 0.356461524209789380f, 0.356084162712172360f, + 0.355706788122359060f, + 0.355329400454223950f, 0.354951999721642100f, 0.354574585938490280f, + 0.354197159118644080f, + 0.353819719275981330f, 0.353442266424378930f, 0.353064800577714280f, + 0.352687321749866610f, + 0.352309829954713830f, 0.351932325206136210f, 0.351554807518012990f, + 0.351177276904224070f, + 0.350799733378650890f, 0.350422176955173910f, 0.350044607647675640f, + 0.349667025470037810f, + 0.349289430436142520f, 0.348911822559873850f, 0.348534201855114360f, + 0.348156568335749040f, + 0.347778922015661520f, 0.347401262908737570f, 0.347023591028862320f, + 0.346645906389921150f, + 0.346268209005801410f, 0.345890498890388980f, 0.345512776057572080f, + 0.345135040521238170f, + 0.344757292295274910f, 0.344379531393571970f, 0.344001757830017680f, + 0.343623971618502560f, + 0.343246172772916250f, 0.342868361307148980f, 0.342490537235092600f, + 0.342112700570637750f, + 0.341734851327677280f, 0.341356989520103240f, 0.340979115161808070f, + 0.340601228266685980f, + 0.340223328848629880f, 0.339845416921535030f, 0.339467492499295200f, + 0.339089555595806560f, + 0.338711606224964210f, 0.338333644400663940f, 0.337955670136803170f, + 0.337577683447278010f, + 0.337199684345986910f, 0.336821672846827290f, 0.336443648963697160f, + 0.336065612710496290f, + 0.335687564101123050f, 0.335309503149478110f, 0.334931429869461230f, + 0.334553344274972690f, + 0.334175246379914470f, 0.333797136198187240f, 0.333419013743693980f, + 0.333040879030336690f, + 0.332662732072017800f, 0.332284572882641680f, 0.331906401476111280f, + 0.331528217866331690f, + 0.331150022067206780f, 0.330771814092642610f, 0.330393593956544440f, + 0.330015361672817750f, + 0.329637117255370090f, 0.329258860718107450f, 0.328880592074938190f, + 0.328502311339769700f, + 0.328124018526509800f, 0.327745713649068180f, 0.327367396721353070f, + 0.326989067757275040f, + 0.326610726770743760f, 0.326232373775669270f, 0.325854008785963320f, + 0.325475631815536570f, + 0.325097242878301660f, 0.324718841988170470f, 0.324340429159055250f, + 0.323962004404870050f, + 0.323583567739527570f, 0.323205119176942720f, 0.322826658731029110f, + 0.322448186415702550f, + 0.322069702244877910f, 0.321691206232470550f, 0.321312698392397570f, + 0.320934178738574720f, + 0.320555647284919980f, 0.320177104045350440f, 0.319798549033783570f, + 0.319419982264138650f, + 0.319041403750333630f, 0.318662813506288670f, 0.318284211545923010f, + 0.317905597883156250f, + 0.317526972531909870f, 0.317148335506103940f, 0.316769686819660780f, + 0.316391026486501690f, + 0.316012354520548600f, 0.315633670935725030f, 0.315254975745953180f, + 0.314876268965157470f, + 0.314497550607261090f, 0.314118820686189180f, 0.313740079215866160f, + 0.313361326210216840f, + 0.312982561683167790f, 0.312603785648644220f, 0.312224998120573420f, + 0.311846199112882030f, + 0.311467388639496860f, 0.311088566714346650f, 0.310709733351358600f, + 0.310330888564462340f, + 0.309952032367586390f, 0.309573164774659850f, 0.309194285799613390f, + 0.308815395456376430f, + 0.308436493758880660f, 0.308057580721056660f, 0.307678656356835560f, + 0.307299720680150270f, + 0.306920773704932260f, 0.306541815445115160f, 0.306162845914631390f, + 0.305783865127415400f, + 0.305404873097400780f, 0.305025869838521590f, 0.304646855364713530f, + 0.304267829689911010f, + 0.303888792828050650f, 0.303509744793068030f, 0.303130685598899270f, + 0.302751615259482190f, + 0.302372533788753170f, 0.301993441200650910f, 0.301614337509113100f, + 0.301235222728077840f, + 0.300856096871485010f, 0.300476959953273060f, 0.300097811987382670f, + 0.299718652987753580f, + 0.299339482968325970f, 0.298960301943041680f, 0.298581109925841300f, + 0.298201906930667390f, + 0.297822692971461410f, 0.297443468062166820f, 0.297064232216726120f, + 0.296684985449082390f, + 0.296305727773180260f, 0.295926459202963120f, 0.295547179752376430f, + 0.295167889435364820f, + 0.294788588265873170f, 0.294409276257848300f, 0.294029953425235520f, + 0.293650619781982260f, + 0.293271275342035120f, 0.292891920119341120f, 0.292512554127848930f, + 0.292133177381505850f, + 0.291753789894261320f, 0.291374391680063520f, 0.290994982752862730f, + 0.290615563126608250f, + 0.290236132815249790f, 0.289856691832738880f, 0.289477240193025510f, + 0.289097777910061970f, + 0.288718304997799550f, 0.288338821470189910f, 0.287959327341186510f, + 0.287579822624741350f, + 0.287200307334808670f, 0.286820781485341620f, 0.286441245090293950f, + 0.286061698163620930f, + 0.285682140719276560f, 0.285302572771216960f, 0.284922994333397350f, + 0.284543405419773240f, + 0.284163806044301910f, 0.283784196220939370f, 0.283404575963643550f, + 0.283024945286371230f, + 0.282645304203081090f, 0.282265652727731130f, 0.281885990874279570f, + 0.281506318656686290f, + 0.281126636088910030f, 0.280746943184911340f, 0.280367239958650150f, + 0.279987526424086530f, + 0.279607802595182420f, 0.279228068485898210f, 0.278848324110196550f, + 0.278468569482039130f, + 0.278088804615388040f, 0.277709029524206950f, 0.277329244222458250f, + 0.276949448724106480f, + 0.276569643043115150f, 0.276189827193448200f, 0.275810001189071290f, + 0.275430165043948570f, + 0.275050318772046500f, 0.274670462387330010f, 0.274290595903766200f, + 0.273910719335321300f, + 0.273530832695961790f, 0.273150935999655950f, 0.272771029260370560f, + 0.272391112492074590f, + 0.272011185708736060f, 0.271631248924323390f, 0.271251302152806570f, + 0.270871345408154380f, + 0.270491378704337540f, 0.270111402055325910f, 0.269731415475089780f, + 0.269351418977600950f, + 0.268971412576829990f, 0.268591396286749500f, 0.268211370121331170f, + 0.267831334094547010f, + 0.267451288220370730f, 0.267071232512774700f, 0.266691166985733360f, + 0.266311091653219700f, + 0.265931006529208920f, 0.265550911627675250f, 0.265170806962593210f, + 0.264790692547939020f, + 0.264410568397687560f, 0.264030434525815760f, 0.263650290946299660f, + 0.263270137673115630f, + 0.262889974720241610f, 0.262509802101654310f, 0.262129619831332370f, + 0.261749427923253670f, + 0.261369226391396310f, 0.260989015249740050f, 0.260608794512263380f, + 0.260228564192946710f, + 0.259848324305769600f, 0.259468074864711960f, 0.259087815883755400f, + 0.258707547376880010f, + 0.258327269358068100f, 0.257946981841300490f, 0.257566684840560170f, + 0.257186378369829110f, + 0.256806062443089680f, 0.256425737074325920f, 0.256045402277520320f, + 0.255665058066657680f, + 0.255284704455721660f, 0.254904341458696390f, 0.254523969089567590f, + 0.254143587362319620f, + 0.253763196290938850f, 0.253382795889410710f, 0.253002386171721110f, + 0.252621967151857420f, + 0.252241538843805680f, 0.251861101261554090f, 0.251480654419089730f, + 0.251100198330400150f, + 0.250719733009474530f, 0.250339258470300590f, 0.249958774726868170f, + 0.249578281793165680f, + 0.249197779683183660f, 0.248817268410911650f, 0.248436747990339490f, + 0.248056218435458720f, + 0.247675679760259450f, 0.247295131978733870f, 0.246914575104873220f, + 0.246534009152669040f, + 0.246153434136114490f, 0.245772850069201410f, 0.245392256965923620f, + 0.245011654840274010f, + 0.244631043706245800f, 0.244250423577833860f, 0.243869794469031620f, + 0.243489156393834590f, + 0.243108509366237320f, 0.242727853400234670f, 0.242347188509823150f, + 0.241966514708997830f, + 0.241585832011755900f, 0.241205140432093070f, 0.240824439984007180f, + 0.240443730681495050f, + 0.240063012538553830f, 0.239682285569182310f, 0.239301549787377890f, + 0.238920805207139960f, + 0.238540051842467020f, 0.238159289707357810f, 0.237778518815812740f, + 0.237397739181830820f, + 0.237016950819413100f, 0.236636153742559610f, 0.236255347965270780f, + 0.235874533501548580f, + 0.235493710365393630f, 0.235112878570808560f, 0.234732038131795020f, + 0.234351189062355030f, + 0.233970331376492150f, 0.233589465088208580f, 0.233208590211508550f, + 0.232827706760394850f, + 0.232446814748872410f, 0.232065914190945020f, 0.231685005100616930f, + 0.231304087491893930f, + 0.230923161378780380f, 0.230542226775282770f, 0.230161283695406500f, + 0.229780332153157300f, + 0.229399372162542610f, 0.229018403737568290f, 0.228637426892242400f, + 0.228256441640571880f, + 0.227875447996564060f, 0.227494445974227850f, 0.227113435587570770f, + 0.226732416850602300f, + 0.226351389777330990f, 0.225970354381765690f, 0.225589310677916880f, + 0.225208258679793520f, + 0.224827198401406690f, 0.224446129856766040f, 0.224065053059883250f, + 0.223683968024768950f, + 0.223302874765434120f, 0.222921773295891380f, 0.222540663630151820f, + 0.222159545782228660f, + 0.221778419766134050f, 0.221397285595880480f, 0.221016143285482050f, + 0.220634992848951380f, + 0.220253834300303180f, 0.219872667653551100f, 0.219491492922709110f, + 0.219110310121792800f, + 0.218729119264816280f, 0.218347920365795780f, 0.217966713438746380f, + 0.217585498497683580f, + 0.217204275556624420f, 0.216823044629584520f, 0.216441805730581500f, + 0.216060558873631570f, + 0.215679304072752960f, 0.215298041341962870f, 0.214916770695278810f, + 0.214535492146719880f, + 0.214154205710303750f, 0.213772911400050090f, 0.213391609229977570f, + 0.213010299214105140f, + 0.212628981366453330f, 0.212247655701041290f, 0.211866322231890090f, + 0.211484980973019880f, + 0.211103631938451000f, 0.210722275142205480f, 0.210340910598303870f, + 0.209959538320768660f, + 0.209578158323621420f, 0.209196770620883960f, 0.208815375226579670f, + 0.208433972154730530f, + 0.208052561419360520f, 0.207671143034492080f, 0.207289717014149830f, + 0.206908283372357230f, + 0.206526842123138070f, 0.206145393280517730f, 0.205763936858520150f, + 0.205382472871171230f, + 0.205001001332495910f, 0.204619522256519300f, 0.204238035657268250f, + 0.203856541548768030f, + 0.203475039945045950f, 0.203093530860128300f, 0.202712014308041620f, + 0.202330490302814110f, + 0.201948958858472420f, 0.201567419989045200f, 0.201185873708560170f, + 0.200804320031045230f, + 0.200422758970529910f, 0.200041190541042220f, 0.199659614756612230f, + 0.199278031631268500f, + 0.198896441179041650f, 0.198514843413961220f, 0.198133238350057030f, + 0.197751626001360480f, + 0.197370006381901520f, 0.196988379505712050f, 0.196606745386822960f, + 0.196225104039265410f, + 0.195843455477072190f, 0.195461799714274460f, 0.195080136764905570f, + 0.194698466642997730f, + 0.194316789362583340f, 0.193935104937696560f, 0.193553413382369890f, + 0.193171714710637930f, + 0.192790008936534220f, 0.192408296074092570f, 0.192026576137348330f, + 0.191644849140335360f, + 0.191263115097089540f, 0.190881374021645320f, 0.190499625928039040f, + 0.190117870830306100f, + 0.189736108742482030f, 0.189354339678604100f, 0.188972563652707950f, + 0.188590780678831250f, + 0.188208990771010640f, 0.187827193943283040f, 0.187445390209686870f, + 0.187063579584259070f, + 0.186681762081038650f, 0.186299937714063470f, 0.185918106497371700f, + 0.185536268445003070f, + 0.185154423570995760f, 0.184772571889390000f, 0.184390713414225000f, + 0.184008848159540110f, + 0.183626976139376310f, 0.183245097367773090f, 0.182863211858771880f, + 0.182481319626412670f, + 0.182099420684737420f, 0.181717515047787020f, 0.181335602729602590f, + 0.180953683744226880f, + 0.180571758105701030f, 0.180189825828068250f, 0.179807886925370670f, + 0.179425941411650660f, + 0.179043989300952110f, 0.178662030607317450f, 0.178280065344791100f, + 0.177898093527416370f, + 0.177516115169236820f, 0.177134130284297610f, 0.176752138886642350f, + 0.176370140990316640f, + 0.175988136609365020f, 0.175606125757832240f, 0.175224108449764660f, + 0.174842084699207030f, + 0.174460054520206240f, 0.174078017926807490f, 0.173695974933058080f, + 0.173313925553004180f, + 0.172931869800692250f, 0.172549807690170230f, 0.172167739235484620f, + 0.171785664450683800f, + 0.171403583349815180f, 0.171021495946926340f, 0.170639402256066410f, + 0.170257302291283000f, + 0.169875196066625710f, 0.169493083596143100f, 0.169110964893883830f, + 0.168728839973898290f, + 0.168346708850235140f, 0.167964571536945220f, 0.167582428048078130f, + 0.167200278397683750f, + 0.166818122599813570f, 0.166435960668517400f, 0.166053792617847200f, + 0.165671618461853270f, + 0.165289438214587970f, 0.164907251890102520f, 0.164525059502448390f, + 0.164142861065678550f, + 0.163760656593844480f, 0.163378446100999640f, 0.162996229601196390f, + 0.162614007108487250f, + 0.162231778636926370f, 0.161849544200566300f, 0.161467303813461580f, + 0.161085057489665670f, + 0.160702805243232240f, 0.160320547088216470f, 0.159938283038672050f, + 0.159556013108654580f, + 0.159173737312218650f, 0.158791455663418930f, 0.158409168176311760f, + 0.158026874864951870f, + 0.157644575743395960f, 0.157262270825699210f, 0.156879960125918730f, + 0.156497643658110590f, + 0.156115321436331000f, 0.155732993474637760f, 0.155350659787087090f, + 0.154968320387737170f, + 0.154585975290645110f, 0.154203624509868190f, 0.153821268059465250f, + 0.153438905953493550f, + 0.153056538206012340f, 0.152674164831079730f, 0.152291785842754070f, + 0.151909401255095250f, + 0.151527011082161540f, 0.151144615338013210f, 0.150762214036709470f, + 0.150379807192309620f, + 0.149997394818874590f, 0.149614976930463660f, 0.149232553541138180f, + 0.148850124664957870f, + 0.148467690315984390f, 0.148085250508278370f, 0.147702805255900570f, + 0.147320354572913260f, + 0.146937898473377210f, 0.146555436971355090f, 0.146172970080908520f, + 0.145790497816099230f, + 0.145408020190990560f, 0.145025537219644170f, 0.144643048916123810f, + 0.144260555294492000f, + 0.143878056368811510f, 0.143495552153146630f, 0.143113042661560050f, + 0.142730527908116440f, + 0.142348007906879320f, 0.141965482671912420f, 0.141582952217280980f, + 0.141200416557048680f, + 0.140817875705281120f, 0.140435329676042390f, 0.140052778483398480f, + 0.139670222141414250f, + 0.139287660664154770f, 0.138905094065686600f, 0.138522522360074780f, + 0.138139945561386200f, + 0.137757363683686740f, 0.137374776741042340f, 0.136992184747520560f, + 0.136609587717187310f, + 0.136226985664110460f, 0.135844378602356760f, 0.135461766545993150f, + 0.135079149509088060f, + 0.134696527505708320f, 0.134313900549922760f, 0.133931268655799020f, + 0.133548631837404950f, + 0.133165990108809860f, 0.132783343484081580f, 0.132400691977289760f, + 0.132018035602502530f, + 0.131635374373789940f, 0.131252708305220960f, 0.130870037410864640f, + 0.130487361704791580f, + 0.130104681201070800f, 0.129721995913773260f, 0.129339305856968730f, + 0.128956611044727220f, + 0.128573911491120210f, 0.128191207210217570f, 0.127808498216091110f, + 0.127425784522811530f, + 0.127043066144449680f, 0.126660343095077900f, 0.126277615388766920f, + 0.125894883039589430f, + 0.125512146061616980f, 0.125129404468921260f, 0.124746658275575490f, + 0.124363907495651240f, + 0.123981152143222060f, 0.123598392232359880f, 0.123215627777138580f, + 0.122832858791630880f, + 0.122450085289909640f, 0.122067307286049230f, 0.121684524794122440f, + 0.121301737828203960f, + 0.120918946402367330f, 0.120536150530686250f, 0.120153350227235940f, + 0.119770545506089950f, + 0.119387736381323830f, 0.119004922867011920f, 0.118622104977228730f, + 0.118239282726050290f, + 0.117856456127550970f, 0.117473625195807100f, 0.117090789944893860f, + 0.116707950388886520f, + 0.116325106541861910f, 0.115942258417895240f, 0.115559406031063570f, + 0.115176549395442460f, + 0.114793688525109290f, 0.114410823434140360f, 0.114027954136612060f, + 0.113645080646602280f, + 0.113262202978187320f, 0.112879321145445350f, 0.112496435162453430f, + 0.112113545043288730f, + 0.111730650802029900f, 0.111347752452754000f, 0.110964850009539970f, + 0.110581943486465610f, + 0.110199032897608850f, 0.109816118257049110f, 0.109433199578864170f, + 0.109050276877133770f, + 0.108667350165936400f, 0.108284419459350770f, 0.107901484771457020f, + 0.107518546116333660f, + 0.107135603508061170f, 0.106752656960718350f, 0.106369706488385940f, + 0.105986752105143480f, + 0.105603793825070680f, 0.105220831662248700f, 0.104837865630757090f, + 0.104454895744677270f, + 0.104071922018089540f, 0.103688944465074300f, 0.103305963099713400f, + 0.102922977936087120f, + 0.102539988988277600f, 0.102156996270365800f, 0.101773999796432830f, + 0.101390999580561250f, + 0.101007995636832020f, 0.100624987979327970f, 0.100241976622130760f, + 0.099858961579322170f, + 0.099475942864985456f, 0.099092920493202258f, 0.098709894478056073f, + 0.098326864833628791f, + 0.097943831574004214f, 0.097560794713264939f, 0.097177754265493674f, + 0.096794710244774623f, + 0.096411662665190329f, 0.096028611540825232f, 0.095645556885762609f, + 0.095262498714085819f, + 0.094879437039879722f, 0.094496371877227495f, 0.094113303240214247f, + 0.093730231142923864f, + 0.093347155599440373f, 0.092964076623849271f, 0.092580994230234359f, + 0.092197908432681386f, + 0.091814819245274432f, 0.091431726682099479f, 0.091048630757241303f, + 0.090665531484784803f, + 0.090282428878816323f, 0.089899322953420582f, 0.089516213722684160f, + 0.089133101200692441f, + 0.088749985401530951f, 0.088366866339286629f, 0.087983744028044805f, + 0.087600618481892656f, + 0.087217489714916191f, 0.086834357741201490f, 0.086451222574836131f, + 0.086068084229906014f, + 0.085684942720498897f, 0.085301798060701386f, 0.084918650264600160f, + 0.084535499346283349f, + 0.084152345319837438f, 0.083769188199350780f, 0.083386027998910095f, + 0.083002864732603973f, + 0.082619698414519799f, 0.082236529058745025f, 0.081853356679368619f, + 0.081470181290477811f, + 0.081087002906161790f, 0.080703821540508452f, 0.080320637207605849f, + 0.079937449921543474f, + 0.079554259696409127f, 0.079171066546292510f, 0.078787870485282088f, + 0.078404671527466441f, + 0.078021469686935602f, 0.077638264977777913f, 0.077255057414083589f, + 0.076871847009941652f, + 0.076488633779441206f, 0.076105417736672773f, 0.075722198895725248f, + 0.075338977270689375f, + 0.074955752875654230f, 0.074572525724710764f, 0.074189295831948693f, + 0.073806063211457842f, + 0.073422827877329483f, 0.073039589843653177f, 0.072656349124520389f, + 0.072273105734021334f, + 0.071889859686246352f, 0.071506610995287156f, 0.071123359675233852f, + 0.070740105740178361f, + 0.070356849204211397f, 0.069973590081423773f, 0.069590328385907715f, + 0.069207064131753759f, + 0.068823797333054326f, 0.068440528003900616f, 0.068057256158383886f, + 0.067673981810596848f, + 0.067290704974630494f, 0.066907425664577733f, 0.066524143894529736f, + 0.066140859678579578f, + 0.065757573030819083f, 0.065374283965340146f, 0.064990992496236119f, + 0.064607698637598646f, + 0.064224402403521202f, 0.063841103808096086f, 0.063457802865415636f, + 0.063074499589573618f, + 0.062691193994662109f, 0.062307886094775049f, 0.061924575904005130f, + 0.061541263436445129f, + 0.061157948706189229f, 0.060774631727329942f, 0.060391312513961619f, + 0.060007991080177375f, + 0.059624667440070382f, 0.059241341607735261f, 0.058858013597264912f, + 0.058474683422754095f, + 0.058091351098295878f, 0.057708016637985186f, 0.057324680055915692f, + 0.056941341366181127f, + 0.056558000582876661f, 0.056174657720095743f, 0.055791312791933681f, + 0.055407965812484541f, + 0.055024616795842439f, 0.054641265756102911f, 0.054257912707359794f, + 0.053874557663708772f, + 0.053491200639244271f, 0.053107841648060788f, 0.052724480704254229f, + 0.052341117821918783f, + 0.051957753015150501f, 0.051574386298044173f, 0.051191017684694640f, + 0.050807647189198162f, + 0.050424274825649297f, 0.050040900608144430f, 0.049657524550778251f, + 0.049274146667647289f, + 0.048890766972846805f, 0.048507385480472134f, 0.048124002204620014f, + 0.047740617159385448f, + 0.047357230358865306f, 0.046973841817155179f, 0.046590451548350717f, + 0.046207059566548990f, + 0.045823665885845313f, 0.045440270520336883f, 0.045056873484119603f, + 0.044673474791289434f, + 0.044290074455943754f, 0.043906672492178188f, 0.043523268914090238f, + 0.043139863735776100f, + 0.042756456971332048f, 0.042373048634855741f, 0.041989638740443119f, + 0.041606227302191955f, + 0.041222814334198304f, 0.040839399850560058f, 0.040455983865373815f, + 0.040072566392736257f, + 0.039689147446745419f, 0.039305727041497644f, 0.038922305191091085f, + 0.038538881909622631f, + 0.038155457211189216f, 0.037772031109889144f, 0.037388603619819022f, + 0.037005174755077273f, + 0.036621744529761024f, 0.036238312957967478f, 0.035854880053795196f, + 0.035471445831341021f, + 0.035088010304703626f, 0.034704573487980395f, 0.034321135395268765f, + 0.033937696040667535f, + 0.033554255438273790f, 0.033170813602186440f, 0.032787370546502645f, + 0.032403926285321405f, + 0.032020480832740429f, 0.031637034202857461f, 0.031253586409771626f, + 0.030870137467580314f, + 0.030486687390382738f, 0.030103236192276818f, 0.029719783887360508f, + 0.029336330489733147f, + 0.028952876013492331f, 0.028569420472737472f, 0.028185963881566689f, + 0.027802506254078142f, + 0.027419047604371360f, 0.027035587946544135f, 0.026652127294696067f, + 0.026268665662925468f, + 0.025885203065330677f, 0.025501739516011413f, 0.025118275029065638f, + 0.024734809618593138f, + 0.024351343298691951f, 0.023967876083461924f, 0.023584407987001611f, + 0.023200939023409587f, + 0.022817469206785804f, 0.022433998551228459f, 0.022050527070837558f, + 0.021667054779711814f, + 0.021283581691949955f, 0.020900107821652084f, 0.020516633182916549f, + 0.020133157789843505f, + 0.019749681656531803f, 0.019366204797080316f, 0.018982727225589285f, + 0.018599248956157190f, + 0.018215770002884327f, 0.017832290379869671f, 0.017448810101212228f, + 0.017065329181012358f, + 0.016681847633368677f, 0.016298365472381587f, 0.015914882712149747f, + 0.015531399366773606f, + 0.015147915450352307f, 0.014764430976985016f, 0.014380945960772247f, + 0.013997460415812761f, + 0.013613974356207112f, 0.013230487796054543f, 0.012847000749454314f, + 0.012463513230507034f, + 0.012080025253311559f, 0.011696536831968529f, 0.011313047980577277f, + 0.010929558713237145f, + 0.010546069044048827f, 0.010162578987111254f, 0.009779088556525145f, + 0.009395597766389905f, + 0.009012106630804949f, 0.008628615163871038f, 0.008245123379687167f, + 0.007861631292354124f, + 0.007478138915970929f, 0.007094646264638386f, 0.006711153352455981f, + 0.006327660193523208f, + 0.005944166801940901f, 0.005560673191808128f, 0.005177179377225743f, + 0.004793685372293270f, + 0.004410191191110246f, 0.004026696847777542f, 0.003643202356394263f, + 0.003259707731061291f, + 0.002876212985878184f, 0.002492718134944503f, 0.002109223192361147f, + 0.001725728172227238f, + 0.001342233088643682f, 0.000958737955710053f, 0.000575242787525925f, + 0.000191747598192208f +}; + +/** + * @} end of DCT4_IDCT4_Table group + */ + +/** + * @addtogroup DCT4_IDCT4 + * @{ + */ + +/** + * @brief Initialization function for the floating-point DCT4/IDCT4. + * @param[in,out] *S points to an instance of floating-point DCT4/IDCT4 structure. + * @param[in] *S_RFFT points to an instance of floating-point RFFT/RIFFT structure. + * @param[in] *S_CFFT points to an instance of floating-point CFFT/CIFFT structure. + * @param[in] N length of the DCT4. + * @param[in] Nby2 half of the length of the DCT4. + * @param[in] normalize normalizing factor. + * @return arm_status function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if fftLenReal is not a supported transform length. + * \par Normalizing factor: + * The normalizing factor is sqrt(2/N), which depends on the size of transform N. + * Floating-point normalizing factors are mentioned in the table below for different DCT sizes: + * \image html dct4NormalizingF32Table.gif + */ + +arm_status arm_dct4_init_f32( + arm_dct4_instance_f32 * S, + arm_rfft_instance_f32 * S_RFFT, + arm_cfft_radix4_instance_f32 * S_CFFT, + uint16_t N, + uint16_t Nby2, + float32_t normalize) +{ + /* Initialize the default arm status */ + arm_status status = ARM_MATH_SUCCESS; + + /* Initializing the pointer array with the weight table base addresses of different lengths */ + float32_t *twiddlePtr[4] = + { (float32_t *) Weights_128, (float32_t *) Weights_512, + (float32_t *) Weights_2048, (float32_t *) Weights_8192 + }; + + /* Initializing the pointer array with the cos factor table base addresses of different lengths */ + float32_t *pCosFactor[4] = + { (float32_t *) cos_factors_128, (float32_t *) cos_factors_512, + (float32_t *) cos_factors_2048, (float32_t *) cos_factors_8192 + }; + + /* Initialize the DCT4 length */ + S->N = N; + + /* Initialize the half of DCT4 length */ + S->Nby2 = Nby2; + + /* Initialize the DCT4 Normalizing factor */ + S->normalize = normalize; + + /* Initialize Real FFT Instance */ + S->pRfft = S_RFFT; + + /* Initialize Complex FFT Instance */ + S->pCfft = S_CFFT; + + switch (N) + { + /* Initialize the table modifier values */ + case 8192U: + S->pTwiddle = twiddlePtr[3]; + S->pCosFactor = pCosFactor[3]; + break; + case 2048U: + S->pTwiddle = twiddlePtr[2]; + S->pCosFactor = pCosFactor[2]; + break; + case 512U: + S->pTwiddle = twiddlePtr[1]; + S->pCosFactor = pCosFactor[1]; + break; + case 128U: + S->pTwiddle = twiddlePtr[0]; + S->pCosFactor = pCosFactor[0]; + break; + default: + status = ARM_MATH_ARGUMENT_ERROR; + } + + /* Initialize the RFFT/RIFFT */ + arm_rfft_init_f32(S->pRfft, S->pCfft, S->N, 0U, 1U); + + /* return the status of DCT4 Init function */ + return (status); +} + +/** + * @} end of DCT4_IDCT4 group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_dct4_init_q15.c b/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_dct4_init_q15.c new file mode 100644 index 0000000..d3401bc --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_dct4_init_q15.c @@ -0,0 +1,4280 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_dct4_init_q15.c + * Description: Initialization function of DCT-4 & IDCT4 Q15 + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup DCT4_IDCT4 + */ + +/** + * @addtogroup DCT4_IDCT4_Table DCT Type IV Tables + * @{ + */ + +/* +* @brief Weights Table +*/ + +/** + * \par + * Weights tables are generated using the formula :
weights[n] = e^(-j*n*pi/(2*N))
+ * \par + * C command to generate the table + *
+ * for(i = 0; i< N; i++)
+ * {
+ *   weights[2*i]= cos(i*c);
+ *   weights[(2*i)+1]= -sin(i * c);
+ * } 
+ * \par + * where N is the Number of weights to be calculated and c is pi/(2*N) + * \par + * Converted the output to q15 format by multiplying with 2^31 and saturated if required. + * \par + * In the tables below the real and imaginary values are placed alternatively, hence the + * array length is 2*N. + */ + +static const q15_t ALIGN4 WeightsQ15_128[256] = { + (q15_t)0x7fff, (q15_t)0x0, (q15_t)0x7ffd, (q15_t)0xfe6e, (q15_t)0x7ff6, (q15_t)0xfcdc, (q15_t)0x7fe9, (q15_t)0xfb4a, + (q15_t)0x7fd8, (q15_t)0xf9b9, (q15_t)0x7fc2, (q15_t)0xf827, (q15_t)0x7fa7, (q15_t)0xf696, (q15_t)0x7f87, (q15_t)0xf505, + (q15_t)0x7f62, (q15_t)0xf375, (q15_t)0x7f38, (q15_t)0xf1e5, (q15_t)0x7f09, (q15_t)0xf055, (q15_t)0x7ed5, (q15_t)0xeec7, + (q15_t)0x7e9d, (q15_t)0xed38, (q15_t)0x7e5f, (q15_t)0xebab, (q15_t)0x7e1d, (q15_t)0xea1e, (q15_t)0x7dd6, (q15_t)0xe893, + (q15_t)0x7d8a, (q15_t)0xe708, (q15_t)0x7d39, (q15_t)0xe57e, (q15_t)0x7ce3, (q15_t)0xe3f5, (q15_t)0x7c89, (q15_t)0xe26d, + (q15_t)0x7c29, (q15_t)0xe0e7, (q15_t)0x7bc5, (q15_t)0xdf61, (q15_t)0x7b5d, (q15_t)0xdddd, (q15_t)0x7aef, (q15_t)0xdc5a, + (q15_t)0x7a7d, (q15_t)0xdad8, (q15_t)0x7a05, (q15_t)0xd958, (q15_t)0x798a, (q15_t)0xd7da, (q15_t)0x7909, (q15_t)0xd65d, + (q15_t)0x7884, (q15_t)0xd4e1, (q15_t)0x77fa, (q15_t)0xd368, (q15_t)0x776c, (q15_t)0xd1ef, (q15_t)0x76d9, (q15_t)0xd079, + (q15_t)0x7641, (q15_t)0xcf05, (q15_t)0x75a5, (q15_t)0xcd92, (q15_t)0x7504, (q15_t)0xcc22, (q15_t)0x745f, (q15_t)0xcab3, + (q15_t)0x73b5, (q15_t)0xc946, (q15_t)0x7307, (q15_t)0xc7dc, (q15_t)0x7255, (q15_t)0xc674, (q15_t)0x719e, (q15_t)0xc50e, + (q15_t)0x70e2, (q15_t)0xc3aa, (q15_t)0x7023, (q15_t)0xc248, (q15_t)0x6f5f, (q15_t)0xc0e9, (q15_t)0x6e96, (q15_t)0xbf8d, + (q15_t)0x6dca, (q15_t)0xbe32, (q15_t)0x6cf9, (q15_t)0xbcdb, (q15_t)0x6c24, (q15_t)0xbb86, (q15_t)0x6b4a, (q15_t)0xba33, + (q15_t)0x6a6d, (q15_t)0xb8e4, (q15_t)0x698c, (q15_t)0xb797, (q15_t)0x68a6, (q15_t)0xb64c, (q15_t)0x67bd, (q15_t)0xb505, + (q15_t)0x66cf, (q15_t)0xb3c1, (q15_t)0x65dd, (q15_t)0xb27f, (q15_t)0x64e8, (q15_t)0xb141, (q15_t)0x63ef, (q15_t)0xb005, + (q15_t)0x62f2, (q15_t)0xaecd, (q15_t)0x61f1, (q15_t)0xad97, (q15_t)0x60ec, (q15_t)0xac65, (q15_t)0x5fe3, (q15_t)0xab36, + (q15_t)0x5ed7, (q15_t)0xaa0b, (q15_t)0x5dc7, (q15_t)0xa8e3, (q15_t)0x5cb4, (q15_t)0xa7be, (q15_t)0x5b9d, (q15_t)0xa69c, + (q15_t)0x5a82, (q15_t)0xa57e, (q15_t)0x5964, (q15_t)0xa463, (q15_t)0x5842, (q15_t)0xa34c, (q15_t)0x571d, (q15_t)0xa239, + (q15_t)0x55f5, (q15_t)0xa129, (q15_t)0x54ca, (q15_t)0xa01d, (q15_t)0x539b, (q15_t)0x9f14, (q15_t)0x5269, (q15_t)0x9e0f, + (q15_t)0x5133, (q15_t)0x9d0e, (q15_t)0x4ffb, (q15_t)0x9c11, (q15_t)0x4ebf, (q15_t)0x9b18, (q15_t)0x4d81, (q15_t)0x9a23, + (q15_t)0x4c3f, (q15_t)0x9931, (q15_t)0x4afb, (q15_t)0x9843, (q15_t)0x49b4, (q15_t)0x975a, (q15_t)0x4869, (q15_t)0x9674, + (q15_t)0x471c, (q15_t)0x9593, (q15_t)0x45cd, (q15_t)0x94b6, (q15_t)0x447a, (q15_t)0x93dc, (q15_t)0x4325, (q15_t)0x9307, + (q15_t)0x41ce, (q15_t)0x9236, (q15_t)0x4073, (q15_t)0x916a, (q15_t)0x3f17, (q15_t)0x90a1, (q15_t)0x3db8, (q15_t)0x8fdd, + (q15_t)0x3c56, (q15_t)0x8f1e, (q15_t)0x3af2, (q15_t)0x8e62, (q15_t)0x398c, (q15_t)0x8dab, (q15_t)0x3824, (q15_t)0x8cf9, + (q15_t)0x36ba, (q15_t)0x8c4b, (q15_t)0x354d, (q15_t)0x8ba1, (q15_t)0x33de, (q15_t)0x8afc, (q15_t)0x326e, (q15_t)0x8a5b, + (q15_t)0x30fb, (q15_t)0x89bf, (q15_t)0x2f87, (q15_t)0x8927, (q15_t)0x2e11, (q15_t)0x8894, (q15_t)0x2c98, (q15_t)0x8806, + (q15_t)0x2b1f, (q15_t)0x877c, (q15_t)0x29a3, (q15_t)0x86f7, (q15_t)0x2826, (q15_t)0x8676, (q15_t)0x26a8, (q15_t)0x85fb, + (q15_t)0x2528, (q15_t)0x8583, (q15_t)0x23a6, (q15_t)0x8511, (q15_t)0x2223, (q15_t)0x84a3, (q15_t)0x209f, (q15_t)0x843b, + (q15_t)0x1f19, (q15_t)0x83d7, (q15_t)0x1d93, (q15_t)0x8377, (q15_t)0x1c0b, (q15_t)0x831d, (q15_t)0x1a82, (q15_t)0x82c7, + (q15_t)0x18f8, (q15_t)0x8276, (q15_t)0x176d, (q15_t)0x822a, (q15_t)0x15e2, (q15_t)0x81e3, (q15_t)0x1455, (q15_t)0x81a1, + (q15_t)0x12c8, (q15_t)0x8163, (q15_t)0x1139, (q15_t)0x812b, (q15_t)0xfab, (q15_t)0x80f7, (q15_t)0xe1b, (q15_t)0x80c8, + (q15_t)0xc8b, (q15_t)0x809e, (q15_t)0xafb, (q15_t)0x8079, (q15_t)0x96a, (q15_t)0x8059, (q15_t)0x7d9, (q15_t)0x803e, + (q15_t)0x647, (q15_t)0x8028, (q15_t)0x4b6, (q15_t)0x8017, (q15_t)0x324, (q15_t)0x800a, (q15_t)0x192, (q15_t)0x8003 +}; + +static const q15_t ALIGN4 WeightsQ15_512[1024] = { + (q15_t)0x7fff, (q15_t)0x0, (q15_t)0x7fff, (q15_t)0xff9c, (q15_t)0x7fff, (q15_t)0xff37, (q15_t)0x7ffe, (q15_t)0xfed3, + (q15_t)0x7ffd, (q15_t)0xfe6e, (q15_t)0x7ffc, (q15_t)0xfe0a, (q15_t)0x7ffa, (q15_t)0xfda5, (q15_t)0x7ff8, (q15_t)0xfd41, + (q15_t)0x7ff6, (q15_t)0xfcdc, (q15_t)0x7ff3, (q15_t)0xfc78, (q15_t)0x7ff0, (q15_t)0xfc13, (q15_t)0x7fed, (q15_t)0xfbaf, + (q15_t)0x7fe9, (q15_t)0xfb4a, (q15_t)0x7fe5, (q15_t)0xfae6, (q15_t)0x7fe1, (q15_t)0xfa81, (q15_t)0x7fdd, (q15_t)0xfa1d, + (q15_t)0x7fd8, (q15_t)0xf9b9, (q15_t)0x7fd3, (q15_t)0xf954, (q15_t)0x7fce, (q15_t)0xf8f0, (q15_t)0x7fc8, (q15_t)0xf88b, + (q15_t)0x7fc2, (q15_t)0xf827, (q15_t)0x7fbc, (q15_t)0xf7c3, (q15_t)0x7fb5, (q15_t)0xf75e, (q15_t)0x7fae, (q15_t)0xf6fa, + (q15_t)0x7fa7, (q15_t)0xf696, (q15_t)0x7f9f, (q15_t)0xf632, (q15_t)0x7f97, (q15_t)0xf5cd, (q15_t)0x7f8f, (q15_t)0xf569, + (q15_t)0x7f87, (q15_t)0xf505, (q15_t)0x7f7e, (q15_t)0xf4a1, (q15_t)0x7f75, (q15_t)0xf43d, (q15_t)0x7f6b, (q15_t)0xf3d9, + (q15_t)0x7f62, (q15_t)0xf375, (q15_t)0x7f58, (q15_t)0xf311, (q15_t)0x7f4d, (q15_t)0xf2ad, (q15_t)0x7f43, (q15_t)0xf249, + (q15_t)0x7f38, (q15_t)0xf1e5, (q15_t)0x7f2d, (q15_t)0xf181, (q15_t)0x7f21, (q15_t)0xf11d, (q15_t)0x7f15, (q15_t)0xf0b9, + (q15_t)0x7f09, (q15_t)0xf055, (q15_t)0x7efd, (q15_t)0xeff2, (q15_t)0x7ef0, (q15_t)0xef8e, (q15_t)0x7ee3, (q15_t)0xef2a, + (q15_t)0x7ed5, (q15_t)0xeec7, (q15_t)0x7ec8, (q15_t)0xee63, (q15_t)0x7eba, (q15_t)0xedff, (q15_t)0x7eab, (q15_t)0xed9c, + (q15_t)0x7e9d, (q15_t)0xed38, (q15_t)0x7e8e, (q15_t)0xecd5, (q15_t)0x7e7f, (q15_t)0xec72, (q15_t)0x7e6f, (q15_t)0xec0e, + (q15_t)0x7e5f, (q15_t)0xebab, (q15_t)0x7e4f, (q15_t)0xeb48, (q15_t)0x7e3f, (q15_t)0xeae5, (q15_t)0x7e2e, (q15_t)0xea81, + (q15_t)0x7e1d, (q15_t)0xea1e, (q15_t)0x7e0c, (q15_t)0xe9bb, (q15_t)0x7dfa, (q15_t)0xe958, (q15_t)0x7de8, (q15_t)0xe8f6, + (q15_t)0x7dd6, (q15_t)0xe893, (q15_t)0x7dc3, (q15_t)0xe830, (q15_t)0x7db0, (q15_t)0xe7cd, (q15_t)0x7d9d, (q15_t)0xe76a, + (q15_t)0x7d8a, (q15_t)0xe708, (q15_t)0x7d76, (q15_t)0xe6a5, (q15_t)0x7d62, (q15_t)0xe643, (q15_t)0x7d4e, (q15_t)0xe5e0, + (q15_t)0x7d39, (q15_t)0xe57e, (q15_t)0x7d24, (q15_t)0xe51c, (q15_t)0x7d0f, (q15_t)0xe4b9, (q15_t)0x7cf9, (q15_t)0xe457, + (q15_t)0x7ce3, (q15_t)0xe3f5, (q15_t)0x7ccd, (q15_t)0xe393, (q15_t)0x7cb7, (q15_t)0xe331, (q15_t)0x7ca0, (q15_t)0xe2cf, + (q15_t)0x7c89, (q15_t)0xe26d, (q15_t)0x7c71, (q15_t)0xe20b, (q15_t)0x7c5a, (q15_t)0xe1aa, (q15_t)0x7c42, (q15_t)0xe148, + (q15_t)0x7c29, (q15_t)0xe0e7, (q15_t)0x7c11, (q15_t)0xe085, (q15_t)0x7bf8, (q15_t)0xe024, (q15_t)0x7bdf, (q15_t)0xdfc2, + (q15_t)0x7bc5, (q15_t)0xdf61, (q15_t)0x7bac, (q15_t)0xdf00, (q15_t)0x7b92, (q15_t)0xde9f, (q15_t)0x7b77, (q15_t)0xde3e, + (q15_t)0x7b5d, (q15_t)0xdddd, (q15_t)0x7b42, (q15_t)0xdd7c, (q15_t)0x7b26, (q15_t)0xdd1b, (q15_t)0x7b0b, (q15_t)0xdcbb, + (q15_t)0x7aef, (q15_t)0xdc5a, (q15_t)0x7ad3, (q15_t)0xdbf9, (q15_t)0x7ab6, (q15_t)0xdb99, (q15_t)0x7a9a, (q15_t)0xdb39, + (q15_t)0x7a7d, (q15_t)0xdad8, (q15_t)0x7a5f, (q15_t)0xda78, (q15_t)0x7a42, (q15_t)0xda18, (q15_t)0x7a24, (q15_t)0xd9b8, + (q15_t)0x7a05, (q15_t)0xd958, (q15_t)0x79e7, (q15_t)0xd8f9, (q15_t)0x79c8, (q15_t)0xd899, (q15_t)0x79a9, (q15_t)0xd839, + (q15_t)0x798a, (q15_t)0xd7da, (q15_t)0x796a, (q15_t)0xd77a, (q15_t)0x794a, (q15_t)0xd71b, (q15_t)0x792a, (q15_t)0xd6bc, + (q15_t)0x7909, (q15_t)0xd65d, (q15_t)0x78e8, (q15_t)0xd5fe, (q15_t)0x78c7, (q15_t)0xd59f, (q15_t)0x78a6, (q15_t)0xd540, + (q15_t)0x7884, (q15_t)0xd4e1, (q15_t)0x7862, (q15_t)0xd483, (q15_t)0x7840, (q15_t)0xd424, (q15_t)0x781d, (q15_t)0xd3c6, + (q15_t)0x77fa, (q15_t)0xd368, (q15_t)0x77d7, (q15_t)0xd309, (q15_t)0x77b4, (q15_t)0xd2ab, (q15_t)0x7790, (q15_t)0xd24d, + (q15_t)0x776c, (q15_t)0xd1ef, (q15_t)0x7747, (q15_t)0xd192, (q15_t)0x7723, (q15_t)0xd134, (q15_t)0x76fe, (q15_t)0xd0d7, + (q15_t)0x76d9, (q15_t)0xd079, (q15_t)0x76b3, (q15_t)0xd01c, (q15_t)0x768e, (q15_t)0xcfbf, (q15_t)0x7668, (q15_t)0xcf62, + (q15_t)0x7641, (q15_t)0xcf05, (q15_t)0x761b, (q15_t)0xcea8, (q15_t)0x75f4, (q15_t)0xce4b, (q15_t)0x75cc, (q15_t)0xcdef, + (q15_t)0x75a5, (q15_t)0xcd92, (q15_t)0x757d, (q15_t)0xcd36, (q15_t)0x7555, (q15_t)0xccda, (q15_t)0x752d, (q15_t)0xcc7e, + (q15_t)0x7504, (q15_t)0xcc22, (q15_t)0x74db, (q15_t)0xcbc6, (q15_t)0x74b2, (q15_t)0xcb6a, (q15_t)0x7489, (q15_t)0xcb0e, + (q15_t)0x745f, (q15_t)0xcab3, (q15_t)0x7435, (q15_t)0xca58, (q15_t)0x740b, (q15_t)0xc9fc, (q15_t)0x73e0, (q15_t)0xc9a1, + (q15_t)0x73b5, (q15_t)0xc946, (q15_t)0x738a, (q15_t)0xc8ec, (q15_t)0x735f, (q15_t)0xc891, (q15_t)0x7333, (q15_t)0xc836, + (q15_t)0x7307, (q15_t)0xc7dc, (q15_t)0x72db, (q15_t)0xc782, (q15_t)0x72af, (q15_t)0xc728, (q15_t)0x7282, (q15_t)0xc6ce, + (q15_t)0x7255, (q15_t)0xc674, (q15_t)0x7227, (q15_t)0xc61a, (q15_t)0x71fa, (q15_t)0xc5c0, (q15_t)0x71cc, (q15_t)0xc567, + (q15_t)0x719e, (q15_t)0xc50e, (q15_t)0x716f, (q15_t)0xc4b4, (q15_t)0x7141, (q15_t)0xc45b, (q15_t)0x7112, (q15_t)0xc403, + (q15_t)0x70e2, (q15_t)0xc3aa, (q15_t)0x70b3, (q15_t)0xc351, (q15_t)0x7083, (q15_t)0xc2f9, (q15_t)0x7053, (q15_t)0xc2a0, + (q15_t)0x7023, (q15_t)0xc248, (q15_t)0x6ff2, (q15_t)0xc1f0, (q15_t)0x6fc1, (q15_t)0xc198, (q15_t)0x6f90, (q15_t)0xc141, + (q15_t)0x6f5f, (q15_t)0xc0e9, (q15_t)0x6f2d, (q15_t)0xc092, (q15_t)0x6efb, (q15_t)0xc03b, (q15_t)0x6ec9, (q15_t)0xbfe3, + (q15_t)0x6e96, (q15_t)0xbf8d, (q15_t)0x6e63, (q15_t)0xbf36, (q15_t)0x6e30, (q15_t)0xbedf, (q15_t)0x6dfd, (q15_t)0xbe89, + (q15_t)0x6dca, (q15_t)0xbe32, (q15_t)0x6d96, (q15_t)0xbddc, (q15_t)0x6d62, (q15_t)0xbd86, (q15_t)0x6d2d, (q15_t)0xbd30, + (q15_t)0x6cf9, (q15_t)0xbcdb, (q15_t)0x6cc4, (q15_t)0xbc85, (q15_t)0x6c8f, (q15_t)0xbc30, (q15_t)0x6c59, (q15_t)0xbbdb, + (q15_t)0x6c24, (q15_t)0xbb86, (q15_t)0x6bee, (q15_t)0xbb31, (q15_t)0x6bb8, (q15_t)0xbadc, (q15_t)0x6b81, (q15_t)0xba88, + (q15_t)0x6b4a, (q15_t)0xba33, (q15_t)0x6b13, (q15_t)0xb9df, (q15_t)0x6adc, (q15_t)0xb98b, (q15_t)0x6aa5, (q15_t)0xb937, + (q15_t)0x6a6d, (q15_t)0xb8e4, (q15_t)0x6a35, (q15_t)0xb890, (q15_t)0x69fd, (q15_t)0xb83d, (q15_t)0x69c4, (q15_t)0xb7ea, + (q15_t)0x698c, (q15_t)0xb797, (q15_t)0x6953, (q15_t)0xb744, (q15_t)0x6919, (q15_t)0xb6f1, (q15_t)0x68e0, (q15_t)0xb69f, + (q15_t)0x68a6, (q15_t)0xb64c, (q15_t)0x686c, (q15_t)0xb5fa, (q15_t)0x6832, (q15_t)0xb5a8, (q15_t)0x67f7, (q15_t)0xb557, + (q15_t)0x67bd, (q15_t)0xb505, (q15_t)0x6782, (q15_t)0xb4b4, (q15_t)0x6746, (q15_t)0xb462, (q15_t)0x670b, (q15_t)0xb411, + (q15_t)0x66cf, (q15_t)0xb3c1, (q15_t)0x6693, (q15_t)0xb370, (q15_t)0x6657, (q15_t)0xb31f, (q15_t)0x661a, (q15_t)0xb2cf, + (q15_t)0x65dd, (q15_t)0xb27f, (q15_t)0x65a0, (q15_t)0xb22f, (q15_t)0x6563, (q15_t)0xb1df, (q15_t)0x6526, (q15_t)0xb190, + (q15_t)0x64e8, (q15_t)0xb141, (q15_t)0x64aa, (q15_t)0xb0f1, (q15_t)0x646c, (q15_t)0xb0a2, (q15_t)0x642d, (q15_t)0xb054, + (q15_t)0x63ef, (q15_t)0xb005, (q15_t)0x63b0, (q15_t)0xafb7, (q15_t)0x6371, (q15_t)0xaf69, (q15_t)0x6331, (q15_t)0xaf1b, + (q15_t)0x62f2, (q15_t)0xaecd, (q15_t)0x62b2, (q15_t)0xae7f, (q15_t)0x6271, (q15_t)0xae32, (q15_t)0x6231, (q15_t)0xade4, + (q15_t)0x61f1, (q15_t)0xad97, (q15_t)0x61b0, (q15_t)0xad4b, (q15_t)0x616f, (q15_t)0xacfe, (q15_t)0x612d, (q15_t)0xacb2, + (q15_t)0x60ec, (q15_t)0xac65, (q15_t)0x60aa, (q15_t)0xac19, (q15_t)0x6068, (q15_t)0xabcd, (q15_t)0x6026, (q15_t)0xab82, + (q15_t)0x5fe3, (q15_t)0xab36, (q15_t)0x5fa0, (q15_t)0xaaeb, (q15_t)0x5f5e, (q15_t)0xaaa0, (q15_t)0x5f1a, (q15_t)0xaa55, + (q15_t)0x5ed7, (q15_t)0xaa0b, (q15_t)0x5e93, (q15_t)0xa9c0, (q15_t)0x5e50, (q15_t)0xa976, (q15_t)0x5e0b, (q15_t)0xa92c, + (q15_t)0x5dc7, (q15_t)0xa8e3, (q15_t)0x5d83, (q15_t)0xa899, (q15_t)0x5d3e, (q15_t)0xa850, (q15_t)0x5cf9, (q15_t)0xa807, + (q15_t)0x5cb4, (q15_t)0xa7be, (q15_t)0x5c6e, (q15_t)0xa775, (q15_t)0x5c29, (q15_t)0xa72c, (q15_t)0x5be3, (q15_t)0xa6e4, + (q15_t)0x5b9d, (q15_t)0xa69c, (q15_t)0x5b56, (q15_t)0xa654, (q15_t)0x5b10, (q15_t)0xa60d, (q15_t)0x5ac9, (q15_t)0xa5c5, + (q15_t)0x5a82, (q15_t)0xa57e, (q15_t)0x5a3b, (q15_t)0xa537, (q15_t)0x59f3, (q15_t)0xa4f0, (q15_t)0x59ac, (q15_t)0xa4aa, + (q15_t)0x5964, (q15_t)0xa463, (q15_t)0x591c, (q15_t)0xa41d, (q15_t)0x58d4, (q15_t)0xa3d7, (q15_t)0x588b, (q15_t)0xa392, + (q15_t)0x5842, (q15_t)0xa34c, (q15_t)0x57f9, (q15_t)0xa307, (q15_t)0x57b0, (q15_t)0xa2c2, (q15_t)0x5767, (q15_t)0xa27d, + (q15_t)0x571d, (q15_t)0xa239, (q15_t)0x56d4, (q15_t)0xa1f5, (q15_t)0x568a, (q15_t)0xa1b0, (q15_t)0x5640, (q15_t)0xa16d, + (q15_t)0x55f5, (q15_t)0xa129, (q15_t)0x55ab, (q15_t)0xa0e6, (q15_t)0x5560, (q15_t)0xa0a2, (q15_t)0x5515, (q15_t)0xa060, + (q15_t)0x54ca, (q15_t)0xa01d, (q15_t)0x547e, (q15_t)0x9fda, (q15_t)0x5433, (q15_t)0x9f98, (q15_t)0x53e7, (q15_t)0x9f56, + (q15_t)0x539b, (q15_t)0x9f14, (q15_t)0x534e, (q15_t)0x9ed3, (q15_t)0x5302, (q15_t)0x9e91, (q15_t)0x52b5, (q15_t)0x9e50, + (q15_t)0x5269, (q15_t)0x9e0f, (q15_t)0x521c, (q15_t)0x9dcf, (q15_t)0x51ce, (q15_t)0x9d8f, (q15_t)0x5181, (q15_t)0x9d4e, + (q15_t)0x5133, (q15_t)0x9d0e, (q15_t)0x50e5, (q15_t)0x9ccf, (q15_t)0x5097, (q15_t)0x9c8f, (q15_t)0x5049, (q15_t)0x9c50, + (q15_t)0x4ffb, (q15_t)0x9c11, (q15_t)0x4fac, (q15_t)0x9bd3, (q15_t)0x4f5e, (q15_t)0x9b94, (q15_t)0x4f0f, (q15_t)0x9b56, + (q15_t)0x4ebf, (q15_t)0x9b18, (q15_t)0x4e70, (q15_t)0x9ada, (q15_t)0x4e21, (q15_t)0x9a9d, (q15_t)0x4dd1, (q15_t)0x9a60, + (q15_t)0x4d81, (q15_t)0x9a23, (q15_t)0x4d31, (q15_t)0x99e6, (q15_t)0x4ce1, (q15_t)0x99a9, (q15_t)0x4c90, (q15_t)0x996d, + (q15_t)0x4c3f, (q15_t)0x9931, (q15_t)0x4bef, (q15_t)0x98f5, (q15_t)0x4b9e, (q15_t)0x98ba, (q15_t)0x4b4c, (q15_t)0x987e, + (q15_t)0x4afb, (q15_t)0x9843, (q15_t)0x4aa9, (q15_t)0x9809, (q15_t)0x4a58, (q15_t)0x97ce, (q15_t)0x4a06, (q15_t)0x9794, + (q15_t)0x49b4, (q15_t)0x975a, (q15_t)0x4961, (q15_t)0x9720, (q15_t)0x490f, (q15_t)0x96e7, (q15_t)0x48bc, (q15_t)0x96ad, + (q15_t)0x4869, (q15_t)0x9674, (q15_t)0x4816, (q15_t)0x963c, (q15_t)0x47c3, (q15_t)0x9603, (q15_t)0x4770, (q15_t)0x95cb, + (q15_t)0x471c, (q15_t)0x9593, (q15_t)0x46c9, (q15_t)0x955b, (q15_t)0x4675, (q15_t)0x9524, (q15_t)0x4621, (q15_t)0x94ed, + (q15_t)0x45cd, (q15_t)0x94b6, (q15_t)0x4578, (q15_t)0x947f, (q15_t)0x4524, (q15_t)0x9448, (q15_t)0x44cf, (q15_t)0x9412, + (q15_t)0x447a, (q15_t)0x93dc, (q15_t)0x4425, (q15_t)0x93a7, (q15_t)0x43d0, (q15_t)0x9371, (q15_t)0x437b, (q15_t)0x933c, + (q15_t)0x4325, (q15_t)0x9307, (q15_t)0x42d0, (q15_t)0x92d3, (q15_t)0x427a, (q15_t)0x929e, (q15_t)0x4224, (q15_t)0x926a, + (q15_t)0x41ce, (q15_t)0x9236, (q15_t)0x4177, (q15_t)0x9203, (q15_t)0x4121, (q15_t)0x91d0, (q15_t)0x40ca, (q15_t)0x919d, + (q15_t)0x4073, (q15_t)0x916a, (q15_t)0x401d, (q15_t)0x9137, (q15_t)0x3fc5, (q15_t)0x9105, (q15_t)0x3f6e, (q15_t)0x90d3, + (q15_t)0x3f17, (q15_t)0x90a1, (q15_t)0x3ebf, (q15_t)0x9070, (q15_t)0x3e68, (q15_t)0x903f, (q15_t)0x3e10, (q15_t)0x900e, + (q15_t)0x3db8, (q15_t)0x8fdd, (q15_t)0x3d60, (q15_t)0x8fad, (q15_t)0x3d07, (q15_t)0x8f7d, (q15_t)0x3caf, (q15_t)0x8f4d, + (q15_t)0x3c56, (q15_t)0x8f1e, (q15_t)0x3bfd, (q15_t)0x8eee, (q15_t)0x3ba5, (q15_t)0x8ebf, (q15_t)0x3b4c, (q15_t)0x8e91, + (q15_t)0x3af2, (q15_t)0x8e62, (q15_t)0x3a99, (q15_t)0x8e34, (q15_t)0x3a40, (q15_t)0x8e06, (q15_t)0x39e6, (q15_t)0x8dd9, + (q15_t)0x398c, (q15_t)0x8dab, (q15_t)0x3932, (q15_t)0x8d7e, (q15_t)0x38d8, (q15_t)0x8d51, (q15_t)0x387e, (q15_t)0x8d25, + (q15_t)0x3824, (q15_t)0x8cf9, (q15_t)0x37ca, (q15_t)0x8ccd, (q15_t)0x376f, (q15_t)0x8ca1, (q15_t)0x3714, (q15_t)0x8c76, + (q15_t)0x36ba, (q15_t)0x8c4b, (q15_t)0x365f, (q15_t)0x8c20, (q15_t)0x3604, (q15_t)0x8bf5, (q15_t)0x35a8, (q15_t)0x8bcb, + (q15_t)0x354d, (q15_t)0x8ba1, (q15_t)0x34f2, (q15_t)0x8b77, (q15_t)0x3496, (q15_t)0x8b4e, (q15_t)0x343a, (q15_t)0x8b25, + (q15_t)0x33de, (q15_t)0x8afc, (q15_t)0x3382, (q15_t)0x8ad3, (q15_t)0x3326, (q15_t)0x8aab, (q15_t)0x32ca, (q15_t)0x8a83, + (q15_t)0x326e, (q15_t)0x8a5b, (q15_t)0x3211, (q15_t)0x8a34, (q15_t)0x31b5, (q15_t)0x8a0c, (q15_t)0x3158, (q15_t)0x89e5, + (q15_t)0x30fb, (q15_t)0x89bf, (q15_t)0x309e, (q15_t)0x8998, (q15_t)0x3041, (q15_t)0x8972, (q15_t)0x2fe4, (q15_t)0x894d, + (q15_t)0x2f87, (q15_t)0x8927, (q15_t)0x2f29, (q15_t)0x8902, (q15_t)0x2ecc, (q15_t)0x88dd, (q15_t)0x2e6e, (q15_t)0x88b9, + (q15_t)0x2e11, (q15_t)0x8894, (q15_t)0x2db3, (q15_t)0x8870, (q15_t)0x2d55, (q15_t)0x884c, (q15_t)0x2cf7, (q15_t)0x8829, + (q15_t)0x2c98, (q15_t)0x8806, (q15_t)0x2c3a, (q15_t)0x87e3, (q15_t)0x2bdc, (q15_t)0x87c0, (q15_t)0x2b7d, (q15_t)0x879e, + (q15_t)0x2b1f, (q15_t)0x877c, (q15_t)0x2ac0, (q15_t)0x875a, (q15_t)0x2a61, (q15_t)0x8739, (q15_t)0x2a02, (q15_t)0x8718, + (q15_t)0x29a3, (q15_t)0x86f7, (q15_t)0x2944, (q15_t)0x86d6, (q15_t)0x28e5, (q15_t)0x86b6, (q15_t)0x2886, (q15_t)0x8696, + (q15_t)0x2826, (q15_t)0x8676, (q15_t)0x27c7, (q15_t)0x8657, (q15_t)0x2767, (q15_t)0x8638, (q15_t)0x2707, (q15_t)0x8619, + (q15_t)0x26a8, (q15_t)0x85fb, (q15_t)0x2648, (q15_t)0x85dc, (q15_t)0x25e8, (q15_t)0x85be, (q15_t)0x2588, (q15_t)0x85a1, + (q15_t)0x2528, (q15_t)0x8583, (q15_t)0x24c7, (q15_t)0x8566, (q15_t)0x2467, (q15_t)0x854a, (q15_t)0x2407, (q15_t)0x852d, + (q15_t)0x23a6, (q15_t)0x8511, (q15_t)0x2345, (q15_t)0x84f5, (q15_t)0x22e5, (q15_t)0x84da, (q15_t)0x2284, (q15_t)0x84be, + (q15_t)0x2223, (q15_t)0x84a3, (q15_t)0x21c2, (q15_t)0x8489, (q15_t)0x2161, (q15_t)0x846e, (q15_t)0x2100, (q15_t)0x8454, + (q15_t)0x209f, (q15_t)0x843b, (q15_t)0x203e, (q15_t)0x8421, (q15_t)0x1fdc, (q15_t)0x8408, (q15_t)0x1f7b, (q15_t)0x83ef, + (q15_t)0x1f19, (q15_t)0x83d7, (q15_t)0x1eb8, (q15_t)0x83be, (q15_t)0x1e56, (q15_t)0x83a6, (q15_t)0x1df5, (q15_t)0x838f, + (q15_t)0x1d93, (q15_t)0x8377, (q15_t)0x1d31, (q15_t)0x8360, (q15_t)0x1ccf, (q15_t)0x8349, (q15_t)0x1c6d, (q15_t)0x8333, + (q15_t)0x1c0b, (q15_t)0x831d, (q15_t)0x1ba9, (q15_t)0x8307, (q15_t)0x1b47, (q15_t)0x82f1, (q15_t)0x1ae4, (q15_t)0x82dc, + (q15_t)0x1a82, (q15_t)0x82c7, (q15_t)0x1a20, (q15_t)0x82b2, (q15_t)0x19bd, (q15_t)0x829e, (q15_t)0x195b, (q15_t)0x828a, + (q15_t)0x18f8, (q15_t)0x8276, (q15_t)0x1896, (q15_t)0x8263, (q15_t)0x1833, (q15_t)0x8250, (q15_t)0x17d0, (q15_t)0x823d, + (q15_t)0x176d, (q15_t)0x822a, (q15_t)0x170a, (q15_t)0x8218, (q15_t)0x16a8, (q15_t)0x8206, (q15_t)0x1645, (q15_t)0x81f4, + (q15_t)0x15e2, (q15_t)0x81e3, (q15_t)0x157f, (q15_t)0x81d2, (q15_t)0x151b, (q15_t)0x81c1, (q15_t)0x14b8, (q15_t)0x81b1, + (q15_t)0x1455, (q15_t)0x81a1, (q15_t)0x13f2, (q15_t)0x8191, (q15_t)0x138e, (q15_t)0x8181, (q15_t)0x132b, (q15_t)0x8172, + (q15_t)0x12c8, (q15_t)0x8163, (q15_t)0x1264, (q15_t)0x8155, (q15_t)0x1201, (q15_t)0x8146, (q15_t)0x119d, (q15_t)0x8138, + (q15_t)0x1139, (q15_t)0x812b, (q15_t)0x10d6, (q15_t)0x811d, (q15_t)0x1072, (q15_t)0x8110, (q15_t)0x100e, (q15_t)0x8103, + (q15_t)0xfab, (q15_t)0x80f7, (q15_t)0xf47, (q15_t)0x80eb, (q15_t)0xee3, (q15_t)0x80df, (q15_t)0xe7f, (q15_t)0x80d3, + (q15_t)0xe1b, (q15_t)0x80c8, (q15_t)0xdb7, (q15_t)0x80bd, (q15_t)0xd53, (q15_t)0x80b3, (q15_t)0xcef, (q15_t)0x80a8, + (q15_t)0xc8b, (q15_t)0x809e, (q15_t)0xc27, (q15_t)0x8095, (q15_t)0xbc3, (q15_t)0x808b, (q15_t)0xb5f, (q15_t)0x8082, + (q15_t)0xafb, (q15_t)0x8079, (q15_t)0xa97, (q15_t)0x8071, (q15_t)0xa33, (q15_t)0x8069, (q15_t)0x9ce, (q15_t)0x8061, + (q15_t)0x96a, (q15_t)0x8059, (q15_t)0x906, (q15_t)0x8052, (q15_t)0x8a2, (q15_t)0x804b, (q15_t)0x83d, (q15_t)0x8044, + (q15_t)0x7d9, (q15_t)0x803e, (q15_t)0x775, (q15_t)0x8038, (q15_t)0x710, (q15_t)0x8032, (q15_t)0x6ac, (q15_t)0x802d, + (q15_t)0x647, (q15_t)0x8028, (q15_t)0x5e3, (q15_t)0x8023, (q15_t)0x57f, (q15_t)0x801f, (q15_t)0x51a, (q15_t)0x801b, + (q15_t)0x4b6, (q15_t)0x8017, (q15_t)0x451, (q15_t)0x8013, (q15_t)0x3ed, (q15_t)0x8010, (q15_t)0x388, (q15_t)0x800d, + (q15_t)0x324, (q15_t)0x800a, (q15_t)0x2bf, (q15_t)0x8008, (q15_t)0x25b, (q15_t)0x8006, (q15_t)0x1f6, (q15_t)0x8004, + (q15_t)0x192, (q15_t)0x8003, (q15_t)0x12d, (q15_t)0x8002, (q15_t)0xc9, (q15_t)0x8001, (q15_t)0x64, (q15_t)0x8001 +}; + +static const q15_t ALIGN4 WeightsQ15_2048[4096] = { + (q15_t)0x7fff, (q15_t)0x0, (q15_t)0x7fff, (q15_t)0xffe7, (q15_t)0x7fff, (q15_t)0xffce, (q15_t)0x7fff, (q15_t)0xffb5, + (q15_t)0x7fff, (q15_t)0xff9c, (q15_t)0x7fff, (q15_t)0xff83, (q15_t)0x7fff, (q15_t)0xff6a, (q15_t)0x7fff, (q15_t)0xff51, + (q15_t)0x7fff, (q15_t)0xff37, (q15_t)0x7fff, (q15_t)0xff1e, (q15_t)0x7fff, (q15_t)0xff05, (q15_t)0x7ffe, (q15_t)0xfeec, + (q15_t)0x7ffe, (q15_t)0xfed3, (q15_t)0x7ffe, (q15_t)0xfeba, (q15_t)0x7ffe, (q15_t)0xfea1, (q15_t)0x7ffd, (q15_t)0xfe88, + (q15_t)0x7ffd, (q15_t)0xfe6e, (q15_t)0x7ffd, (q15_t)0xfe55, (q15_t)0x7ffc, (q15_t)0xfe3c, (q15_t)0x7ffc, (q15_t)0xfe23, + (q15_t)0x7ffc, (q15_t)0xfe0a, (q15_t)0x7ffb, (q15_t)0xfdf1, (q15_t)0x7ffb, (q15_t)0xfdd8, (q15_t)0x7ffa, (q15_t)0xfdbe, + (q15_t)0x7ffa, (q15_t)0xfda5, (q15_t)0x7ff9, (q15_t)0xfd8c, (q15_t)0x7ff9, (q15_t)0xfd73, (q15_t)0x7ff8, (q15_t)0xfd5a, + (q15_t)0x7ff8, (q15_t)0xfd41, (q15_t)0x7ff7, (q15_t)0xfd28, (q15_t)0x7ff7, (q15_t)0xfd0f, (q15_t)0x7ff6, (q15_t)0xfcf5, + (q15_t)0x7ff6, (q15_t)0xfcdc, (q15_t)0x7ff5, (q15_t)0xfcc3, (q15_t)0x7ff4, (q15_t)0xfcaa, (q15_t)0x7ff4, (q15_t)0xfc91, + (q15_t)0x7ff3, (q15_t)0xfc78, (q15_t)0x7ff2, (q15_t)0xfc5f, (q15_t)0x7ff2, (q15_t)0xfc46, (q15_t)0x7ff1, (q15_t)0xfc2c, + (q15_t)0x7ff0, (q15_t)0xfc13, (q15_t)0x7fef, (q15_t)0xfbfa, (q15_t)0x7fee, (q15_t)0xfbe1, (q15_t)0x7fee, (q15_t)0xfbc8, + (q15_t)0x7fed, (q15_t)0xfbaf, (q15_t)0x7fec, (q15_t)0xfb96, (q15_t)0x7feb, (q15_t)0xfb7d, (q15_t)0x7fea, (q15_t)0xfb64, + (q15_t)0x7fe9, (q15_t)0xfb4a, (q15_t)0x7fe8, (q15_t)0xfb31, (q15_t)0x7fe7, (q15_t)0xfb18, (q15_t)0x7fe6, (q15_t)0xfaff, + (q15_t)0x7fe5, (q15_t)0xfae6, (q15_t)0x7fe4, (q15_t)0xfacd, (q15_t)0x7fe3, (q15_t)0xfab4, (q15_t)0x7fe2, (q15_t)0xfa9b, + (q15_t)0x7fe1, (q15_t)0xfa81, (q15_t)0x7fe0, (q15_t)0xfa68, (q15_t)0x7fdf, (q15_t)0xfa4f, (q15_t)0x7fde, (q15_t)0xfa36, + (q15_t)0x7fdd, (q15_t)0xfa1d, (q15_t)0x7fdc, (q15_t)0xfa04, (q15_t)0x7fda, (q15_t)0xf9eb, (q15_t)0x7fd9, (q15_t)0xf9d2, + (q15_t)0x7fd8, (q15_t)0xf9b9, (q15_t)0x7fd7, (q15_t)0xf9a0, (q15_t)0x7fd6, (q15_t)0xf986, (q15_t)0x7fd4, (q15_t)0xf96d, + (q15_t)0x7fd3, (q15_t)0xf954, (q15_t)0x7fd2, (q15_t)0xf93b, (q15_t)0x7fd0, (q15_t)0xf922, (q15_t)0x7fcf, (q15_t)0xf909, + (q15_t)0x7fce, (q15_t)0xf8f0, (q15_t)0x7fcc, (q15_t)0xf8d7, (q15_t)0x7fcb, (q15_t)0xf8be, (q15_t)0x7fc9, (q15_t)0xf8a5, + (q15_t)0x7fc8, (q15_t)0xf88b, (q15_t)0x7fc6, (q15_t)0xf872, (q15_t)0x7fc5, (q15_t)0xf859, (q15_t)0x7fc3, (q15_t)0xf840, + (q15_t)0x7fc2, (q15_t)0xf827, (q15_t)0x7fc0, (q15_t)0xf80e, (q15_t)0x7fbf, (q15_t)0xf7f5, (q15_t)0x7fbd, (q15_t)0xf7dc, + (q15_t)0x7fbc, (q15_t)0xf7c3, (q15_t)0x7fba, (q15_t)0xf7aa, (q15_t)0x7fb8, (q15_t)0xf791, (q15_t)0x7fb7, (q15_t)0xf778, + (q15_t)0x7fb5, (q15_t)0xf75e, (q15_t)0x7fb3, (q15_t)0xf745, (q15_t)0x7fb1, (q15_t)0xf72c, (q15_t)0x7fb0, (q15_t)0xf713, + (q15_t)0x7fae, (q15_t)0xf6fa, (q15_t)0x7fac, (q15_t)0xf6e1, (q15_t)0x7faa, (q15_t)0xf6c8, (q15_t)0x7fa9, (q15_t)0xf6af, + (q15_t)0x7fa7, (q15_t)0xf696, (q15_t)0x7fa5, (q15_t)0xf67d, (q15_t)0x7fa3, (q15_t)0xf664, (q15_t)0x7fa1, (q15_t)0xf64b, + (q15_t)0x7f9f, (q15_t)0xf632, (q15_t)0x7f9d, (q15_t)0xf619, (q15_t)0x7f9b, (q15_t)0xf600, (q15_t)0x7f99, (q15_t)0xf5e7, + (q15_t)0x7f97, (q15_t)0xf5cd, (q15_t)0x7f95, (q15_t)0xf5b4, (q15_t)0x7f93, (q15_t)0xf59b, (q15_t)0x7f91, (q15_t)0xf582, + (q15_t)0x7f8f, (q15_t)0xf569, (q15_t)0x7f8d, (q15_t)0xf550, (q15_t)0x7f8b, (q15_t)0xf537, (q15_t)0x7f89, (q15_t)0xf51e, + (q15_t)0x7f87, (q15_t)0xf505, (q15_t)0x7f85, (q15_t)0xf4ec, (q15_t)0x7f82, (q15_t)0xf4d3, (q15_t)0x7f80, (q15_t)0xf4ba, + (q15_t)0x7f7e, (q15_t)0xf4a1, (q15_t)0x7f7c, (q15_t)0xf488, (q15_t)0x7f79, (q15_t)0xf46f, (q15_t)0x7f77, (q15_t)0xf456, + (q15_t)0x7f75, (q15_t)0xf43d, (q15_t)0x7f72, (q15_t)0xf424, (q15_t)0x7f70, (q15_t)0xf40b, (q15_t)0x7f6e, (q15_t)0xf3f2, + (q15_t)0x7f6b, (q15_t)0xf3d9, (q15_t)0x7f69, (q15_t)0xf3c0, (q15_t)0x7f67, (q15_t)0xf3a7, (q15_t)0x7f64, (q15_t)0xf38e, + (q15_t)0x7f62, (q15_t)0xf375, (q15_t)0x7f5f, (q15_t)0xf35c, (q15_t)0x7f5d, (q15_t)0xf343, (q15_t)0x7f5a, (q15_t)0xf32a, + (q15_t)0x7f58, (q15_t)0xf311, (q15_t)0x7f55, (q15_t)0xf2f8, (q15_t)0x7f53, (q15_t)0xf2df, (q15_t)0x7f50, (q15_t)0xf2c6, + (q15_t)0x7f4d, (q15_t)0xf2ad, (q15_t)0x7f4b, (q15_t)0xf294, (q15_t)0x7f48, (q15_t)0xf27b, (q15_t)0x7f45, (q15_t)0xf262, + (q15_t)0x7f43, (q15_t)0xf249, (q15_t)0x7f40, (q15_t)0xf230, (q15_t)0x7f3d, (q15_t)0xf217, (q15_t)0x7f3b, (q15_t)0xf1fe, + (q15_t)0x7f38, (q15_t)0xf1e5, (q15_t)0x7f35, (q15_t)0xf1cc, (q15_t)0x7f32, (q15_t)0xf1b3, (q15_t)0x7f2f, (q15_t)0xf19a, + (q15_t)0x7f2d, (q15_t)0xf181, (q15_t)0x7f2a, (q15_t)0xf168, (q15_t)0x7f27, (q15_t)0xf14f, (q15_t)0x7f24, (q15_t)0xf136, + (q15_t)0x7f21, (q15_t)0xf11d, (q15_t)0x7f1e, (q15_t)0xf104, (q15_t)0x7f1b, (q15_t)0xf0eb, (q15_t)0x7f18, (q15_t)0xf0d2, + (q15_t)0x7f15, (q15_t)0xf0b9, (q15_t)0x7f12, (q15_t)0xf0a0, (q15_t)0x7f0f, (q15_t)0xf087, (q15_t)0x7f0c, (q15_t)0xf06e, + (q15_t)0x7f09, (q15_t)0xf055, (q15_t)0x7f06, (q15_t)0xf03c, (q15_t)0x7f03, (q15_t)0xf023, (q15_t)0x7f00, (q15_t)0xf00b, + (q15_t)0x7efd, (q15_t)0xeff2, (q15_t)0x7ef9, (q15_t)0xefd9, (q15_t)0x7ef6, (q15_t)0xefc0, (q15_t)0x7ef3, (q15_t)0xefa7, + (q15_t)0x7ef0, (q15_t)0xef8e, (q15_t)0x7eed, (q15_t)0xef75, (q15_t)0x7ee9, (q15_t)0xef5c, (q15_t)0x7ee6, (q15_t)0xef43, + (q15_t)0x7ee3, (q15_t)0xef2a, (q15_t)0x7edf, (q15_t)0xef11, (q15_t)0x7edc, (q15_t)0xeef8, (q15_t)0x7ed9, (q15_t)0xeedf, + (q15_t)0x7ed5, (q15_t)0xeec7, (q15_t)0x7ed2, (q15_t)0xeeae, (q15_t)0x7ecf, (q15_t)0xee95, (q15_t)0x7ecb, (q15_t)0xee7c, + (q15_t)0x7ec8, (q15_t)0xee63, (q15_t)0x7ec4, (q15_t)0xee4a, (q15_t)0x7ec1, (q15_t)0xee31, (q15_t)0x7ebd, (q15_t)0xee18, + (q15_t)0x7eba, (q15_t)0xedff, (q15_t)0x7eb6, (q15_t)0xede7, (q15_t)0x7eb3, (q15_t)0xedce, (q15_t)0x7eaf, (q15_t)0xedb5, + (q15_t)0x7eab, (q15_t)0xed9c, (q15_t)0x7ea8, (q15_t)0xed83, (q15_t)0x7ea4, (q15_t)0xed6a, (q15_t)0x7ea1, (q15_t)0xed51, + (q15_t)0x7e9d, (q15_t)0xed38, (q15_t)0x7e99, (q15_t)0xed20, (q15_t)0x7e95, (q15_t)0xed07, (q15_t)0x7e92, (q15_t)0xecee, + (q15_t)0x7e8e, (q15_t)0xecd5, (q15_t)0x7e8a, (q15_t)0xecbc, (q15_t)0x7e86, (q15_t)0xeca3, (q15_t)0x7e83, (q15_t)0xec8a, + (q15_t)0x7e7f, (q15_t)0xec72, (q15_t)0x7e7b, (q15_t)0xec59, (q15_t)0x7e77, (q15_t)0xec40, (q15_t)0x7e73, (q15_t)0xec27, + (q15_t)0x7e6f, (q15_t)0xec0e, (q15_t)0x7e6b, (q15_t)0xebf5, (q15_t)0x7e67, (q15_t)0xebdd, (q15_t)0x7e63, (q15_t)0xebc4, + (q15_t)0x7e5f, (q15_t)0xebab, (q15_t)0x7e5b, (q15_t)0xeb92, (q15_t)0x7e57, (q15_t)0xeb79, (q15_t)0x7e53, (q15_t)0xeb61, + (q15_t)0x7e4f, (q15_t)0xeb48, (q15_t)0x7e4b, (q15_t)0xeb2f, (q15_t)0x7e47, (q15_t)0xeb16, (q15_t)0x7e43, (q15_t)0xeafd, + (q15_t)0x7e3f, (q15_t)0xeae5, (q15_t)0x7e3b, (q15_t)0xeacc, (q15_t)0x7e37, (q15_t)0xeab3, (q15_t)0x7e32, (q15_t)0xea9a, + (q15_t)0x7e2e, (q15_t)0xea81, (q15_t)0x7e2a, (q15_t)0xea69, (q15_t)0x7e26, (q15_t)0xea50, (q15_t)0x7e21, (q15_t)0xea37, + (q15_t)0x7e1d, (q15_t)0xea1e, (q15_t)0x7e19, (q15_t)0xea06, (q15_t)0x7e14, (q15_t)0xe9ed, (q15_t)0x7e10, (q15_t)0xe9d4, + (q15_t)0x7e0c, (q15_t)0xe9bb, (q15_t)0x7e07, (q15_t)0xe9a3, (q15_t)0x7e03, (q15_t)0xe98a, (q15_t)0x7dff, (q15_t)0xe971, + (q15_t)0x7dfa, (q15_t)0xe958, (q15_t)0x7df6, (q15_t)0xe940, (q15_t)0x7df1, (q15_t)0xe927, (q15_t)0x7ded, (q15_t)0xe90e, + (q15_t)0x7de8, (q15_t)0xe8f6, (q15_t)0x7de4, (q15_t)0xe8dd, (q15_t)0x7ddf, (q15_t)0xe8c4, (q15_t)0x7dda, (q15_t)0xe8ab, + (q15_t)0x7dd6, (q15_t)0xe893, (q15_t)0x7dd1, (q15_t)0xe87a, (q15_t)0x7dcd, (q15_t)0xe861, (q15_t)0x7dc8, (q15_t)0xe849, + (q15_t)0x7dc3, (q15_t)0xe830, (q15_t)0x7dbf, (q15_t)0xe817, (q15_t)0x7dba, (q15_t)0xe7fe, (q15_t)0x7db5, (q15_t)0xe7e6, + (q15_t)0x7db0, (q15_t)0xe7cd, (q15_t)0x7dac, (q15_t)0xe7b4, (q15_t)0x7da7, (q15_t)0xe79c, (q15_t)0x7da2, (q15_t)0xe783, + (q15_t)0x7d9d, (q15_t)0xe76a, (q15_t)0x7d98, (q15_t)0xe752, (q15_t)0x7d94, (q15_t)0xe739, (q15_t)0x7d8f, (q15_t)0xe720, + (q15_t)0x7d8a, (q15_t)0xe708, (q15_t)0x7d85, (q15_t)0xe6ef, (q15_t)0x7d80, (q15_t)0xe6d6, (q15_t)0x7d7b, (q15_t)0xe6be, + (q15_t)0x7d76, (q15_t)0xe6a5, (q15_t)0x7d71, (q15_t)0xe68d, (q15_t)0x7d6c, (q15_t)0xe674, (q15_t)0x7d67, (q15_t)0xe65b, + (q15_t)0x7d62, (q15_t)0xe643, (q15_t)0x7d5d, (q15_t)0xe62a, (q15_t)0x7d58, (q15_t)0xe611, (q15_t)0x7d53, (q15_t)0xe5f9, + (q15_t)0x7d4e, (q15_t)0xe5e0, (q15_t)0x7d49, (q15_t)0xe5c8, (q15_t)0x7d43, (q15_t)0xe5af, (q15_t)0x7d3e, (q15_t)0xe596, + (q15_t)0x7d39, (q15_t)0xe57e, (q15_t)0x7d34, (q15_t)0xe565, (q15_t)0x7d2f, (q15_t)0xe54d, (q15_t)0x7d29, (q15_t)0xe534, + (q15_t)0x7d24, (q15_t)0xe51c, (q15_t)0x7d1f, (q15_t)0xe503, (q15_t)0x7d19, (q15_t)0xe4ea, (q15_t)0x7d14, (q15_t)0xe4d2, + (q15_t)0x7d0f, (q15_t)0xe4b9, (q15_t)0x7d09, (q15_t)0xe4a1, (q15_t)0x7d04, (q15_t)0xe488, (q15_t)0x7cff, (q15_t)0xe470, + (q15_t)0x7cf9, (q15_t)0xe457, (q15_t)0x7cf4, (q15_t)0xe43f, (q15_t)0x7cee, (q15_t)0xe426, (q15_t)0x7ce9, (q15_t)0xe40e, + (q15_t)0x7ce3, (q15_t)0xe3f5, (q15_t)0x7cde, (q15_t)0xe3dc, (q15_t)0x7cd8, (q15_t)0xe3c4, (q15_t)0x7cd3, (q15_t)0xe3ab, + (q15_t)0x7ccd, (q15_t)0xe393, (q15_t)0x7cc8, (q15_t)0xe37a, (q15_t)0x7cc2, (q15_t)0xe362, (q15_t)0x7cbc, (q15_t)0xe349, + (q15_t)0x7cb7, (q15_t)0xe331, (q15_t)0x7cb1, (q15_t)0xe318, (q15_t)0x7cab, (q15_t)0xe300, (q15_t)0x7ca6, (q15_t)0xe2e8, + (q15_t)0x7ca0, (q15_t)0xe2cf, (q15_t)0x7c9a, (q15_t)0xe2b7, (q15_t)0x7c94, (q15_t)0xe29e, (q15_t)0x7c8f, (q15_t)0xe286, + (q15_t)0x7c89, (q15_t)0xe26d, (q15_t)0x7c83, (q15_t)0xe255, (q15_t)0x7c7d, (q15_t)0xe23c, (q15_t)0x7c77, (q15_t)0xe224, + (q15_t)0x7c71, (q15_t)0xe20b, (q15_t)0x7c6c, (q15_t)0xe1f3, (q15_t)0x7c66, (q15_t)0xe1db, (q15_t)0x7c60, (q15_t)0xe1c2, + (q15_t)0x7c5a, (q15_t)0xe1aa, (q15_t)0x7c54, (q15_t)0xe191, (q15_t)0x7c4e, (q15_t)0xe179, (q15_t)0x7c48, (q15_t)0xe160, + (q15_t)0x7c42, (q15_t)0xe148, (q15_t)0x7c3c, (q15_t)0xe130, (q15_t)0x7c36, (q15_t)0xe117, (q15_t)0x7c30, (q15_t)0xe0ff, + (q15_t)0x7c29, (q15_t)0xe0e7, (q15_t)0x7c23, (q15_t)0xe0ce, (q15_t)0x7c1d, (q15_t)0xe0b6, (q15_t)0x7c17, (q15_t)0xe09d, + (q15_t)0x7c11, (q15_t)0xe085, (q15_t)0x7c0b, (q15_t)0xe06d, (q15_t)0x7c05, (q15_t)0xe054, (q15_t)0x7bfe, (q15_t)0xe03c, + (q15_t)0x7bf8, (q15_t)0xe024, (q15_t)0x7bf2, (q15_t)0xe00b, (q15_t)0x7beb, (q15_t)0xdff3, (q15_t)0x7be5, (q15_t)0xdfdb, + (q15_t)0x7bdf, (q15_t)0xdfc2, (q15_t)0x7bd9, (q15_t)0xdfaa, (q15_t)0x7bd2, (q15_t)0xdf92, (q15_t)0x7bcc, (q15_t)0xdf79, + (q15_t)0x7bc5, (q15_t)0xdf61, (q15_t)0x7bbf, (q15_t)0xdf49, (q15_t)0x7bb9, (q15_t)0xdf30, (q15_t)0x7bb2, (q15_t)0xdf18, + (q15_t)0x7bac, (q15_t)0xdf00, (q15_t)0x7ba5, (q15_t)0xdee8, (q15_t)0x7b9f, (q15_t)0xdecf, (q15_t)0x7b98, (q15_t)0xdeb7, + (q15_t)0x7b92, (q15_t)0xde9f, (q15_t)0x7b8b, (q15_t)0xde87, (q15_t)0x7b84, (q15_t)0xde6e, (q15_t)0x7b7e, (q15_t)0xde56, + (q15_t)0x7b77, (q15_t)0xde3e, (q15_t)0x7b71, (q15_t)0xde26, (q15_t)0x7b6a, (q15_t)0xde0d, (q15_t)0x7b63, (q15_t)0xddf5, + (q15_t)0x7b5d, (q15_t)0xdddd, (q15_t)0x7b56, (q15_t)0xddc5, (q15_t)0x7b4f, (q15_t)0xddac, (q15_t)0x7b48, (q15_t)0xdd94, + (q15_t)0x7b42, (q15_t)0xdd7c, (q15_t)0x7b3b, (q15_t)0xdd64, (q15_t)0x7b34, (q15_t)0xdd4c, (q15_t)0x7b2d, (q15_t)0xdd33, + (q15_t)0x7b26, (q15_t)0xdd1b, (q15_t)0x7b1f, (q15_t)0xdd03, (q15_t)0x7b19, (q15_t)0xdceb, (q15_t)0x7b12, (q15_t)0xdcd3, + (q15_t)0x7b0b, (q15_t)0xdcbb, (q15_t)0x7b04, (q15_t)0xdca2, (q15_t)0x7afd, (q15_t)0xdc8a, (q15_t)0x7af6, (q15_t)0xdc72, + (q15_t)0x7aef, (q15_t)0xdc5a, (q15_t)0x7ae8, (q15_t)0xdc42, (q15_t)0x7ae1, (q15_t)0xdc2a, (q15_t)0x7ada, (q15_t)0xdc12, + (q15_t)0x7ad3, (q15_t)0xdbf9, (q15_t)0x7acc, (q15_t)0xdbe1, (q15_t)0x7ac5, (q15_t)0xdbc9, (q15_t)0x7abd, (q15_t)0xdbb1, + (q15_t)0x7ab6, (q15_t)0xdb99, (q15_t)0x7aaf, (q15_t)0xdb81, (q15_t)0x7aa8, (q15_t)0xdb69, (q15_t)0x7aa1, (q15_t)0xdb51, + (q15_t)0x7a9a, (q15_t)0xdb39, (q15_t)0x7a92, (q15_t)0xdb21, (q15_t)0x7a8b, (q15_t)0xdb09, (q15_t)0x7a84, (q15_t)0xdaf1, + (q15_t)0x7a7d, (q15_t)0xdad8, (q15_t)0x7a75, (q15_t)0xdac0, (q15_t)0x7a6e, (q15_t)0xdaa8, (q15_t)0x7a67, (q15_t)0xda90, + (q15_t)0x7a5f, (q15_t)0xda78, (q15_t)0x7a58, (q15_t)0xda60, (q15_t)0x7a50, (q15_t)0xda48, (q15_t)0x7a49, (q15_t)0xda30, + (q15_t)0x7a42, (q15_t)0xda18, (q15_t)0x7a3a, (q15_t)0xda00, (q15_t)0x7a33, (q15_t)0xd9e8, (q15_t)0x7a2b, (q15_t)0xd9d0, + (q15_t)0x7a24, (q15_t)0xd9b8, (q15_t)0x7a1c, (q15_t)0xd9a0, (q15_t)0x7a15, (q15_t)0xd988, (q15_t)0x7a0d, (q15_t)0xd970, + (q15_t)0x7a05, (q15_t)0xd958, (q15_t)0x79fe, (q15_t)0xd940, (q15_t)0x79f6, (q15_t)0xd928, (q15_t)0x79ef, (q15_t)0xd911, + (q15_t)0x79e7, (q15_t)0xd8f9, (q15_t)0x79df, (q15_t)0xd8e1, (q15_t)0x79d8, (q15_t)0xd8c9, (q15_t)0x79d0, (q15_t)0xd8b1, + (q15_t)0x79c8, (q15_t)0xd899, (q15_t)0x79c0, (q15_t)0xd881, (q15_t)0x79b9, (q15_t)0xd869, (q15_t)0x79b1, (q15_t)0xd851, + (q15_t)0x79a9, (q15_t)0xd839, (q15_t)0x79a1, (q15_t)0xd821, (q15_t)0x7999, (q15_t)0xd80a, (q15_t)0x7992, (q15_t)0xd7f2, + (q15_t)0x798a, (q15_t)0xd7da, (q15_t)0x7982, (q15_t)0xd7c2, (q15_t)0x797a, (q15_t)0xd7aa, (q15_t)0x7972, (q15_t)0xd792, + (q15_t)0x796a, (q15_t)0xd77a, (q15_t)0x7962, (q15_t)0xd763, (q15_t)0x795a, (q15_t)0xd74b, (q15_t)0x7952, (q15_t)0xd733, + (q15_t)0x794a, (q15_t)0xd71b, (q15_t)0x7942, (q15_t)0xd703, (q15_t)0x793a, (q15_t)0xd6eb, (q15_t)0x7932, (q15_t)0xd6d4, + (q15_t)0x792a, (q15_t)0xd6bc, (q15_t)0x7922, (q15_t)0xd6a4, (q15_t)0x7919, (q15_t)0xd68c, (q15_t)0x7911, (q15_t)0xd675, + (q15_t)0x7909, (q15_t)0xd65d, (q15_t)0x7901, (q15_t)0xd645, (q15_t)0x78f9, (q15_t)0xd62d, (q15_t)0x78f1, (q15_t)0xd615, + (q15_t)0x78e8, (q15_t)0xd5fe, (q15_t)0x78e0, (q15_t)0xd5e6, (q15_t)0x78d8, (q15_t)0xd5ce, (q15_t)0x78cf, (q15_t)0xd5b7, + (q15_t)0x78c7, (q15_t)0xd59f, (q15_t)0x78bf, (q15_t)0xd587, (q15_t)0x78b6, (q15_t)0xd56f, (q15_t)0x78ae, (q15_t)0xd558, + (q15_t)0x78a6, (q15_t)0xd540, (q15_t)0x789d, (q15_t)0xd528, (q15_t)0x7895, (q15_t)0xd511, (q15_t)0x788c, (q15_t)0xd4f9, + (q15_t)0x7884, (q15_t)0xd4e1, (q15_t)0x787c, (q15_t)0xd4ca, (q15_t)0x7873, (q15_t)0xd4b2, (q15_t)0x786b, (q15_t)0xd49a, + (q15_t)0x7862, (q15_t)0xd483, (q15_t)0x7859, (q15_t)0xd46b, (q15_t)0x7851, (q15_t)0xd453, (q15_t)0x7848, (q15_t)0xd43c, + (q15_t)0x7840, (q15_t)0xd424, (q15_t)0x7837, (q15_t)0xd40d, (q15_t)0x782e, (q15_t)0xd3f5, (q15_t)0x7826, (q15_t)0xd3dd, + (q15_t)0x781d, (q15_t)0xd3c6, (q15_t)0x7814, (q15_t)0xd3ae, (q15_t)0x780c, (q15_t)0xd397, (q15_t)0x7803, (q15_t)0xd37f, + (q15_t)0x77fa, (q15_t)0xd368, (q15_t)0x77f1, (q15_t)0xd350, (q15_t)0x77e9, (q15_t)0xd338, (q15_t)0x77e0, (q15_t)0xd321, + (q15_t)0x77d7, (q15_t)0xd309, (q15_t)0x77ce, (q15_t)0xd2f2, (q15_t)0x77c5, (q15_t)0xd2da, (q15_t)0x77bc, (q15_t)0xd2c3, + (q15_t)0x77b4, (q15_t)0xd2ab, (q15_t)0x77ab, (q15_t)0xd294, (q15_t)0x77a2, (q15_t)0xd27c, (q15_t)0x7799, (q15_t)0xd265, + (q15_t)0x7790, (q15_t)0xd24d, (q15_t)0x7787, (q15_t)0xd236, (q15_t)0x777e, (q15_t)0xd21e, (q15_t)0x7775, (q15_t)0xd207, + (q15_t)0x776c, (q15_t)0xd1ef, (q15_t)0x7763, (q15_t)0xd1d8, (q15_t)0x775a, (q15_t)0xd1c1, (q15_t)0x7751, (q15_t)0xd1a9, + (q15_t)0x7747, (q15_t)0xd192, (q15_t)0x773e, (q15_t)0xd17a, (q15_t)0x7735, (q15_t)0xd163, (q15_t)0x772c, (q15_t)0xd14b, + (q15_t)0x7723, (q15_t)0xd134, (q15_t)0x771a, (q15_t)0xd11d, (q15_t)0x7710, (q15_t)0xd105, (q15_t)0x7707, (q15_t)0xd0ee, + (q15_t)0x76fe, (q15_t)0xd0d7, (q15_t)0x76f5, (q15_t)0xd0bf, (q15_t)0x76eb, (q15_t)0xd0a8, (q15_t)0x76e2, (q15_t)0xd091, + (q15_t)0x76d9, (q15_t)0xd079, (q15_t)0x76cf, (q15_t)0xd062, (q15_t)0x76c6, (q15_t)0xd04b, (q15_t)0x76bd, (q15_t)0xd033, + (q15_t)0x76b3, (q15_t)0xd01c, (q15_t)0x76aa, (q15_t)0xd005, (q15_t)0x76a0, (q15_t)0xcfed, (q15_t)0x7697, (q15_t)0xcfd6, + (q15_t)0x768e, (q15_t)0xcfbf, (q15_t)0x7684, (q15_t)0xcfa7, (q15_t)0x767b, (q15_t)0xcf90, (q15_t)0x7671, (q15_t)0xcf79, + (q15_t)0x7668, (q15_t)0xcf62, (q15_t)0x765e, (q15_t)0xcf4a, (q15_t)0x7654, (q15_t)0xcf33, (q15_t)0x764b, (q15_t)0xcf1c, + (q15_t)0x7641, (q15_t)0xcf05, (q15_t)0x7638, (q15_t)0xceee, (q15_t)0x762e, (q15_t)0xced6, (q15_t)0x7624, (q15_t)0xcebf, + (q15_t)0x761b, (q15_t)0xcea8, (q15_t)0x7611, (q15_t)0xce91, (q15_t)0x7607, (q15_t)0xce7a, (q15_t)0x75fd, (q15_t)0xce62, + (q15_t)0x75f4, (q15_t)0xce4b, (q15_t)0x75ea, (q15_t)0xce34, (q15_t)0x75e0, (q15_t)0xce1d, (q15_t)0x75d6, (q15_t)0xce06, + (q15_t)0x75cc, (q15_t)0xcdef, (q15_t)0x75c3, (q15_t)0xcdd8, (q15_t)0x75b9, (q15_t)0xcdc0, (q15_t)0x75af, (q15_t)0xcda9, + (q15_t)0x75a5, (q15_t)0xcd92, (q15_t)0x759b, (q15_t)0xcd7b, (q15_t)0x7591, (q15_t)0xcd64, (q15_t)0x7587, (q15_t)0xcd4d, + (q15_t)0x757d, (q15_t)0xcd36, (q15_t)0x7573, (q15_t)0xcd1f, (q15_t)0x7569, (q15_t)0xcd08, (q15_t)0x755f, (q15_t)0xccf1, + (q15_t)0x7555, (q15_t)0xccda, (q15_t)0x754b, (q15_t)0xccc3, (q15_t)0x7541, (q15_t)0xccac, (q15_t)0x7537, (q15_t)0xcc95, + (q15_t)0x752d, (q15_t)0xcc7e, (q15_t)0x7523, (q15_t)0xcc67, (q15_t)0x7519, (q15_t)0xcc50, (q15_t)0x750f, (q15_t)0xcc39, + (q15_t)0x7504, (q15_t)0xcc22, (q15_t)0x74fa, (q15_t)0xcc0b, (q15_t)0x74f0, (q15_t)0xcbf4, (q15_t)0x74e6, (q15_t)0xcbdd, + (q15_t)0x74db, (q15_t)0xcbc6, (q15_t)0x74d1, (q15_t)0xcbaf, (q15_t)0x74c7, (q15_t)0xcb98, (q15_t)0x74bd, (q15_t)0xcb81, + (q15_t)0x74b2, (q15_t)0xcb6a, (q15_t)0x74a8, (q15_t)0xcb53, (q15_t)0x749e, (q15_t)0xcb3c, (q15_t)0x7493, (q15_t)0xcb25, + (q15_t)0x7489, (q15_t)0xcb0e, (q15_t)0x747e, (q15_t)0xcaf8, (q15_t)0x7474, (q15_t)0xcae1, (q15_t)0x746a, (q15_t)0xcaca, + (q15_t)0x745f, (q15_t)0xcab3, (q15_t)0x7455, (q15_t)0xca9c, (q15_t)0x744a, (q15_t)0xca85, (q15_t)0x7440, (q15_t)0xca6e, + (q15_t)0x7435, (q15_t)0xca58, (q15_t)0x742b, (q15_t)0xca41, (q15_t)0x7420, (q15_t)0xca2a, (q15_t)0x7415, (q15_t)0xca13, + (q15_t)0x740b, (q15_t)0xc9fc, (q15_t)0x7400, (q15_t)0xc9e6, (q15_t)0x73f6, (q15_t)0xc9cf, (q15_t)0x73eb, (q15_t)0xc9b8, + (q15_t)0x73e0, (q15_t)0xc9a1, (q15_t)0x73d6, (q15_t)0xc98b, (q15_t)0x73cb, (q15_t)0xc974, (q15_t)0x73c0, (q15_t)0xc95d, + (q15_t)0x73b5, (q15_t)0xc946, (q15_t)0x73ab, (q15_t)0xc930, (q15_t)0x73a0, (q15_t)0xc919, (q15_t)0x7395, (q15_t)0xc902, + (q15_t)0x738a, (q15_t)0xc8ec, (q15_t)0x737f, (q15_t)0xc8d5, (q15_t)0x7375, (q15_t)0xc8be, (q15_t)0x736a, (q15_t)0xc8a8, + (q15_t)0x735f, (q15_t)0xc891, (q15_t)0x7354, (q15_t)0xc87a, (q15_t)0x7349, (q15_t)0xc864, (q15_t)0x733e, (q15_t)0xc84d, + (q15_t)0x7333, (q15_t)0xc836, (q15_t)0x7328, (q15_t)0xc820, (q15_t)0x731d, (q15_t)0xc809, (q15_t)0x7312, (q15_t)0xc7f3, + (q15_t)0x7307, (q15_t)0xc7dc, (q15_t)0x72fc, (q15_t)0xc7c5, (q15_t)0x72f1, (q15_t)0xc7af, (q15_t)0x72e6, (q15_t)0xc798, + (q15_t)0x72db, (q15_t)0xc782, (q15_t)0x72d0, (q15_t)0xc76b, (q15_t)0x72c5, (q15_t)0xc755, (q15_t)0x72ba, (q15_t)0xc73e, + (q15_t)0x72af, (q15_t)0xc728, (q15_t)0x72a3, (q15_t)0xc711, (q15_t)0x7298, (q15_t)0xc6fa, (q15_t)0x728d, (q15_t)0xc6e4, + (q15_t)0x7282, (q15_t)0xc6ce, (q15_t)0x7276, (q15_t)0xc6b7, (q15_t)0x726b, (q15_t)0xc6a1, (q15_t)0x7260, (q15_t)0xc68a, + (q15_t)0x7255, (q15_t)0xc674, (q15_t)0x7249, (q15_t)0xc65d, (q15_t)0x723e, (q15_t)0xc647, (q15_t)0x7233, (q15_t)0xc630, + (q15_t)0x7227, (q15_t)0xc61a, (q15_t)0x721c, (q15_t)0xc603, (q15_t)0x7211, (q15_t)0xc5ed, (q15_t)0x7205, (q15_t)0xc5d7, + (q15_t)0x71fa, (q15_t)0xc5c0, (q15_t)0x71ee, (q15_t)0xc5aa, (q15_t)0x71e3, (q15_t)0xc594, (q15_t)0x71d7, (q15_t)0xc57d, + (q15_t)0x71cc, (q15_t)0xc567, (q15_t)0x71c0, (q15_t)0xc551, (q15_t)0x71b5, (q15_t)0xc53a, (q15_t)0x71a9, (q15_t)0xc524, + (q15_t)0x719e, (q15_t)0xc50e, (q15_t)0x7192, (q15_t)0xc4f7, (q15_t)0x7186, (q15_t)0xc4e1, (q15_t)0x717b, (q15_t)0xc4cb, + (q15_t)0x716f, (q15_t)0xc4b4, (q15_t)0x7164, (q15_t)0xc49e, (q15_t)0x7158, (q15_t)0xc488, (q15_t)0x714c, (q15_t)0xc472, + (q15_t)0x7141, (q15_t)0xc45b, (q15_t)0x7135, (q15_t)0xc445, (q15_t)0x7129, (q15_t)0xc42f, (q15_t)0x711d, (q15_t)0xc419, + (q15_t)0x7112, (q15_t)0xc403, (q15_t)0x7106, (q15_t)0xc3ec, (q15_t)0x70fa, (q15_t)0xc3d6, (q15_t)0x70ee, (q15_t)0xc3c0, + (q15_t)0x70e2, (q15_t)0xc3aa, (q15_t)0x70d6, (q15_t)0xc394, (q15_t)0x70cb, (q15_t)0xc37d, (q15_t)0x70bf, (q15_t)0xc367, + (q15_t)0x70b3, (q15_t)0xc351, (q15_t)0x70a7, (q15_t)0xc33b, (q15_t)0x709b, (q15_t)0xc325, (q15_t)0x708f, (q15_t)0xc30f, + (q15_t)0x7083, (q15_t)0xc2f9, (q15_t)0x7077, (q15_t)0xc2e3, (q15_t)0x706b, (q15_t)0xc2cd, (q15_t)0x705f, (q15_t)0xc2b7, + (q15_t)0x7053, (q15_t)0xc2a0, (q15_t)0x7047, (q15_t)0xc28a, (q15_t)0x703b, (q15_t)0xc274, (q15_t)0x702f, (q15_t)0xc25e, + (q15_t)0x7023, (q15_t)0xc248, (q15_t)0x7016, (q15_t)0xc232, (q15_t)0x700a, (q15_t)0xc21c, (q15_t)0x6ffe, (q15_t)0xc206, + (q15_t)0x6ff2, (q15_t)0xc1f0, (q15_t)0x6fe6, (q15_t)0xc1da, (q15_t)0x6fda, (q15_t)0xc1c4, (q15_t)0x6fcd, (q15_t)0xc1ae, + (q15_t)0x6fc1, (q15_t)0xc198, (q15_t)0x6fb5, (q15_t)0xc183, (q15_t)0x6fa9, (q15_t)0xc16d, (q15_t)0x6f9c, (q15_t)0xc157, + (q15_t)0x6f90, (q15_t)0xc141, (q15_t)0x6f84, (q15_t)0xc12b, (q15_t)0x6f77, (q15_t)0xc115, (q15_t)0x6f6b, (q15_t)0xc0ff, + (q15_t)0x6f5f, (q15_t)0xc0e9, (q15_t)0x6f52, (q15_t)0xc0d3, (q15_t)0x6f46, (q15_t)0xc0bd, (q15_t)0x6f39, (q15_t)0xc0a8, + (q15_t)0x6f2d, (q15_t)0xc092, (q15_t)0x6f20, (q15_t)0xc07c, (q15_t)0x6f14, (q15_t)0xc066, (q15_t)0x6f07, (q15_t)0xc050, + (q15_t)0x6efb, (q15_t)0xc03b, (q15_t)0x6eee, (q15_t)0xc025, (q15_t)0x6ee2, (q15_t)0xc00f, (q15_t)0x6ed5, (q15_t)0xbff9, + (q15_t)0x6ec9, (q15_t)0xbfe3, (q15_t)0x6ebc, (q15_t)0xbfce, (q15_t)0x6eaf, (q15_t)0xbfb8, (q15_t)0x6ea3, (q15_t)0xbfa2, + (q15_t)0x6e96, (q15_t)0xbf8d, (q15_t)0x6e89, (q15_t)0xbf77, (q15_t)0x6e7d, (q15_t)0xbf61, (q15_t)0x6e70, (q15_t)0xbf4b, + (q15_t)0x6e63, (q15_t)0xbf36, (q15_t)0x6e57, (q15_t)0xbf20, (q15_t)0x6e4a, (q15_t)0xbf0a, (q15_t)0x6e3d, (q15_t)0xbef5, + (q15_t)0x6e30, (q15_t)0xbedf, (q15_t)0x6e24, (q15_t)0xbeca, (q15_t)0x6e17, (q15_t)0xbeb4, (q15_t)0x6e0a, (q15_t)0xbe9e, + (q15_t)0x6dfd, (q15_t)0xbe89, (q15_t)0x6df0, (q15_t)0xbe73, (q15_t)0x6de3, (q15_t)0xbe5e, (q15_t)0x6dd6, (q15_t)0xbe48, + (q15_t)0x6dca, (q15_t)0xbe32, (q15_t)0x6dbd, (q15_t)0xbe1d, (q15_t)0x6db0, (q15_t)0xbe07, (q15_t)0x6da3, (q15_t)0xbdf2, + (q15_t)0x6d96, (q15_t)0xbddc, (q15_t)0x6d89, (q15_t)0xbdc7, (q15_t)0x6d7c, (q15_t)0xbdb1, (q15_t)0x6d6f, (q15_t)0xbd9c, + (q15_t)0x6d62, (q15_t)0xbd86, (q15_t)0x6d55, (q15_t)0xbd71, (q15_t)0x6d48, (q15_t)0xbd5b, (q15_t)0x6d3a, (q15_t)0xbd46, + (q15_t)0x6d2d, (q15_t)0xbd30, (q15_t)0x6d20, (q15_t)0xbd1b, (q15_t)0x6d13, (q15_t)0xbd06, (q15_t)0x6d06, (q15_t)0xbcf0, + (q15_t)0x6cf9, (q15_t)0xbcdb, (q15_t)0x6cec, (q15_t)0xbcc5, (q15_t)0x6cde, (q15_t)0xbcb0, (q15_t)0x6cd1, (q15_t)0xbc9b, + (q15_t)0x6cc4, (q15_t)0xbc85, (q15_t)0x6cb7, (q15_t)0xbc70, (q15_t)0x6ca9, (q15_t)0xbc5b, (q15_t)0x6c9c, (q15_t)0xbc45, + (q15_t)0x6c8f, (q15_t)0xbc30, (q15_t)0x6c81, (q15_t)0xbc1b, (q15_t)0x6c74, (q15_t)0xbc05, (q15_t)0x6c67, (q15_t)0xbbf0, + (q15_t)0x6c59, (q15_t)0xbbdb, (q15_t)0x6c4c, (q15_t)0xbbc5, (q15_t)0x6c3f, (q15_t)0xbbb0, (q15_t)0x6c31, (q15_t)0xbb9b, + (q15_t)0x6c24, (q15_t)0xbb86, (q15_t)0x6c16, (q15_t)0xbb70, (q15_t)0x6c09, (q15_t)0xbb5b, (q15_t)0x6bfb, (q15_t)0xbb46, + (q15_t)0x6bee, (q15_t)0xbb31, (q15_t)0x6be0, (q15_t)0xbb1c, (q15_t)0x6bd3, (q15_t)0xbb06, (q15_t)0x6bc5, (q15_t)0xbaf1, + (q15_t)0x6bb8, (q15_t)0xbadc, (q15_t)0x6baa, (q15_t)0xbac7, (q15_t)0x6b9c, (q15_t)0xbab2, (q15_t)0x6b8f, (q15_t)0xba9d, + (q15_t)0x6b81, (q15_t)0xba88, (q15_t)0x6b73, (q15_t)0xba73, (q15_t)0x6b66, (q15_t)0xba5d, (q15_t)0x6b58, (q15_t)0xba48, + (q15_t)0x6b4a, (q15_t)0xba33, (q15_t)0x6b3d, (q15_t)0xba1e, (q15_t)0x6b2f, (q15_t)0xba09, (q15_t)0x6b21, (q15_t)0xb9f4, + (q15_t)0x6b13, (q15_t)0xb9df, (q15_t)0x6b06, (q15_t)0xb9ca, (q15_t)0x6af8, (q15_t)0xb9b5, (q15_t)0x6aea, (q15_t)0xb9a0, + (q15_t)0x6adc, (q15_t)0xb98b, (q15_t)0x6ace, (q15_t)0xb976, (q15_t)0x6ac1, (q15_t)0xb961, (q15_t)0x6ab3, (q15_t)0xb94c, + (q15_t)0x6aa5, (q15_t)0xb937, (q15_t)0x6a97, (q15_t)0xb922, (q15_t)0x6a89, (q15_t)0xb90d, (q15_t)0x6a7b, (q15_t)0xb8f8, + (q15_t)0x6a6d, (q15_t)0xb8e4, (q15_t)0x6a5f, (q15_t)0xb8cf, (q15_t)0x6a51, (q15_t)0xb8ba, (q15_t)0x6a43, (q15_t)0xb8a5, + (q15_t)0x6a35, (q15_t)0xb890, (q15_t)0x6a27, (q15_t)0xb87b, (q15_t)0x6a19, (q15_t)0xb866, (q15_t)0x6a0b, (q15_t)0xb852, + (q15_t)0x69fd, (q15_t)0xb83d, (q15_t)0x69ef, (q15_t)0xb828, (q15_t)0x69e1, (q15_t)0xb813, (q15_t)0x69d3, (q15_t)0xb7fe, + (q15_t)0x69c4, (q15_t)0xb7ea, (q15_t)0x69b6, (q15_t)0xb7d5, (q15_t)0x69a8, (q15_t)0xb7c0, (q15_t)0x699a, (q15_t)0xb7ab, + (q15_t)0x698c, (q15_t)0xb797, (q15_t)0x697d, (q15_t)0xb782, (q15_t)0x696f, (q15_t)0xb76d, (q15_t)0x6961, (q15_t)0xb758, + (q15_t)0x6953, (q15_t)0xb744, (q15_t)0x6944, (q15_t)0xb72f, (q15_t)0x6936, (q15_t)0xb71a, (q15_t)0x6928, (q15_t)0xb706, + (q15_t)0x6919, (q15_t)0xb6f1, (q15_t)0x690b, (q15_t)0xb6dd, (q15_t)0x68fd, (q15_t)0xb6c8, (q15_t)0x68ee, (q15_t)0xb6b3, + (q15_t)0x68e0, (q15_t)0xb69f, (q15_t)0x68d1, (q15_t)0xb68a, (q15_t)0x68c3, (q15_t)0xb676, (q15_t)0x68b5, (q15_t)0xb661, + (q15_t)0x68a6, (q15_t)0xb64c, (q15_t)0x6898, (q15_t)0xb638, (q15_t)0x6889, (q15_t)0xb623, (q15_t)0x687b, (q15_t)0xb60f, + (q15_t)0x686c, (q15_t)0xb5fa, (q15_t)0x685e, (q15_t)0xb5e6, (q15_t)0x684f, (q15_t)0xb5d1, (q15_t)0x6840, (q15_t)0xb5bd, + (q15_t)0x6832, (q15_t)0xb5a8, (q15_t)0x6823, (q15_t)0xb594, (q15_t)0x6815, (q15_t)0xb57f, (q15_t)0x6806, (q15_t)0xb56b, + (q15_t)0x67f7, (q15_t)0xb557, (q15_t)0x67e9, (q15_t)0xb542, (q15_t)0x67da, (q15_t)0xb52e, (q15_t)0x67cb, (q15_t)0xb519, + (q15_t)0x67bd, (q15_t)0xb505, (q15_t)0x67ae, (q15_t)0xb4f1, (q15_t)0x679f, (q15_t)0xb4dc, (q15_t)0x6790, (q15_t)0xb4c8, + (q15_t)0x6782, (q15_t)0xb4b4, (q15_t)0x6773, (q15_t)0xb49f, (q15_t)0x6764, (q15_t)0xb48b, (q15_t)0x6755, (q15_t)0xb477, + (q15_t)0x6746, (q15_t)0xb462, (q15_t)0x6737, (q15_t)0xb44e, (q15_t)0x6729, (q15_t)0xb43a, (q15_t)0x671a, (q15_t)0xb426, + (q15_t)0x670b, (q15_t)0xb411, (q15_t)0x66fc, (q15_t)0xb3fd, (q15_t)0x66ed, (q15_t)0xb3e9, (q15_t)0x66de, (q15_t)0xb3d5, + (q15_t)0x66cf, (q15_t)0xb3c1, (q15_t)0x66c0, (q15_t)0xb3ac, (q15_t)0x66b1, (q15_t)0xb398, (q15_t)0x66a2, (q15_t)0xb384, + (q15_t)0x6693, (q15_t)0xb370, (q15_t)0x6684, (q15_t)0xb35c, (q15_t)0x6675, (q15_t)0xb348, (q15_t)0x6666, (q15_t)0xb334, + (q15_t)0x6657, (q15_t)0xb31f, (q15_t)0x6648, (q15_t)0xb30b, (q15_t)0x6639, (q15_t)0xb2f7, (q15_t)0x6629, (q15_t)0xb2e3, + (q15_t)0x661a, (q15_t)0xb2cf, (q15_t)0x660b, (q15_t)0xb2bb, (q15_t)0x65fc, (q15_t)0xb2a7, (q15_t)0x65ed, (q15_t)0xb293, + (q15_t)0x65dd, (q15_t)0xb27f, (q15_t)0x65ce, (q15_t)0xb26b, (q15_t)0x65bf, (q15_t)0xb257, (q15_t)0x65b0, (q15_t)0xb243, + (q15_t)0x65a0, (q15_t)0xb22f, (q15_t)0x6591, (q15_t)0xb21b, (q15_t)0x6582, (q15_t)0xb207, (q15_t)0x6573, (q15_t)0xb1f3, + (q15_t)0x6563, (q15_t)0xb1df, (q15_t)0x6554, (q15_t)0xb1cc, (q15_t)0x6545, (q15_t)0xb1b8, (q15_t)0x6535, (q15_t)0xb1a4, + (q15_t)0x6526, (q15_t)0xb190, (q15_t)0x6516, (q15_t)0xb17c, (q15_t)0x6507, (q15_t)0xb168, (q15_t)0x64f7, (q15_t)0xb154, + (q15_t)0x64e8, (q15_t)0xb141, (q15_t)0x64d9, (q15_t)0xb12d, (q15_t)0x64c9, (q15_t)0xb119, (q15_t)0x64ba, (q15_t)0xb105, + (q15_t)0x64aa, (q15_t)0xb0f1, (q15_t)0x649b, (q15_t)0xb0de, (q15_t)0x648b, (q15_t)0xb0ca, (q15_t)0x647b, (q15_t)0xb0b6, + (q15_t)0x646c, (q15_t)0xb0a2, (q15_t)0x645c, (q15_t)0xb08f, (q15_t)0x644d, (q15_t)0xb07b, (q15_t)0x643d, (q15_t)0xb067, + (q15_t)0x642d, (q15_t)0xb054, (q15_t)0x641e, (q15_t)0xb040, (q15_t)0x640e, (q15_t)0xb02c, (q15_t)0x63fe, (q15_t)0xb019, + (q15_t)0x63ef, (q15_t)0xb005, (q15_t)0x63df, (q15_t)0xaff1, (q15_t)0x63cf, (q15_t)0xafde, (q15_t)0x63c0, (q15_t)0xafca, + (q15_t)0x63b0, (q15_t)0xafb7, (q15_t)0x63a0, (q15_t)0xafa3, (q15_t)0x6390, (q15_t)0xaf90, (q15_t)0x6380, (q15_t)0xaf7c, + (q15_t)0x6371, (q15_t)0xaf69, (q15_t)0x6361, (q15_t)0xaf55, (q15_t)0x6351, (q15_t)0xaf41, (q15_t)0x6341, (q15_t)0xaf2e, + (q15_t)0x6331, (q15_t)0xaf1b, (q15_t)0x6321, (q15_t)0xaf07, (q15_t)0x6311, (q15_t)0xaef4, (q15_t)0x6301, (q15_t)0xaee0, + (q15_t)0x62f2, (q15_t)0xaecd, (q15_t)0x62e2, (q15_t)0xaeb9, (q15_t)0x62d2, (q15_t)0xaea6, (q15_t)0x62c2, (q15_t)0xae92, + (q15_t)0x62b2, (q15_t)0xae7f, (q15_t)0x62a2, (q15_t)0xae6c, (q15_t)0x6292, (q15_t)0xae58, (q15_t)0x6282, (q15_t)0xae45, + (q15_t)0x6271, (q15_t)0xae32, (q15_t)0x6261, (q15_t)0xae1e, (q15_t)0x6251, (q15_t)0xae0b, (q15_t)0x6241, (q15_t)0xadf8, + (q15_t)0x6231, (q15_t)0xade4, (q15_t)0x6221, (q15_t)0xadd1, (q15_t)0x6211, (q15_t)0xadbe, (q15_t)0x6201, (q15_t)0xadab, + (q15_t)0x61f1, (q15_t)0xad97, (q15_t)0x61e0, (q15_t)0xad84, (q15_t)0x61d0, (q15_t)0xad71, (q15_t)0x61c0, (q15_t)0xad5e, + (q15_t)0x61b0, (q15_t)0xad4b, (q15_t)0x619f, (q15_t)0xad37, (q15_t)0x618f, (q15_t)0xad24, (q15_t)0x617f, (q15_t)0xad11, + (q15_t)0x616f, (q15_t)0xacfe, (q15_t)0x615e, (q15_t)0xaceb, (q15_t)0x614e, (q15_t)0xacd8, (q15_t)0x613e, (q15_t)0xacc5, + (q15_t)0x612d, (q15_t)0xacb2, (q15_t)0x611d, (q15_t)0xac9e, (q15_t)0x610d, (q15_t)0xac8b, (q15_t)0x60fc, (q15_t)0xac78, + (q15_t)0x60ec, (q15_t)0xac65, (q15_t)0x60db, (q15_t)0xac52, (q15_t)0x60cb, (q15_t)0xac3f, (q15_t)0x60ba, (q15_t)0xac2c, + (q15_t)0x60aa, (q15_t)0xac19, (q15_t)0x6099, (q15_t)0xac06, (q15_t)0x6089, (q15_t)0xabf3, (q15_t)0x6078, (q15_t)0xabe0, + (q15_t)0x6068, (q15_t)0xabcd, (q15_t)0x6057, (q15_t)0xabbb, (q15_t)0x6047, (q15_t)0xaba8, (q15_t)0x6036, (q15_t)0xab95, + (q15_t)0x6026, (q15_t)0xab82, (q15_t)0x6015, (q15_t)0xab6f, (q15_t)0x6004, (q15_t)0xab5c, (q15_t)0x5ff4, (q15_t)0xab49, + (q15_t)0x5fe3, (q15_t)0xab36, (q15_t)0x5fd3, (q15_t)0xab24, (q15_t)0x5fc2, (q15_t)0xab11, (q15_t)0x5fb1, (q15_t)0xaafe, + (q15_t)0x5fa0, (q15_t)0xaaeb, (q15_t)0x5f90, (q15_t)0xaad8, (q15_t)0x5f7f, (q15_t)0xaac6, (q15_t)0x5f6e, (q15_t)0xaab3, + (q15_t)0x5f5e, (q15_t)0xaaa0, (q15_t)0x5f4d, (q15_t)0xaa8e, (q15_t)0x5f3c, (q15_t)0xaa7b, (q15_t)0x5f2b, (q15_t)0xaa68, + (q15_t)0x5f1a, (q15_t)0xaa55, (q15_t)0x5f0a, (q15_t)0xaa43, (q15_t)0x5ef9, (q15_t)0xaa30, (q15_t)0x5ee8, (q15_t)0xaa1d, + (q15_t)0x5ed7, (q15_t)0xaa0b, (q15_t)0x5ec6, (q15_t)0xa9f8, (q15_t)0x5eb5, (q15_t)0xa9e6, (q15_t)0x5ea4, (q15_t)0xa9d3, + (q15_t)0x5e93, (q15_t)0xa9c0, (q15_t)0x5e82, (q15_t)0xa9ae, (q15_t)0x5e71, (q15_t)0xa99b, (q15_t)0x5e60, (q15_t)0xa989, + (q15_t)0x5e50, (q15_t)0xa976, (q15_t)0x5e3f, (q15_t)0xa964, (q15_t)0x5e2d, (q15_t)0xa951, (q15_t)0x5e1c, (q15_t)0xa93f, + (q15_t)0x5e0b, (q15_t)0xa92c, (q15_t)0x5dfa, (q15_t)0xa91a, (q15_t)0x5de9, (q15_t)0xa907, (q15_t)0x5dd8, (q15_t)0xa8f5, + (q15_t)0x5dc7, (q15_t)0xa8e3, (q15_t)0x5db6, (q15_t)0xa8d0, (q15_t)0x5da5, (q15_t)0xa8be, (q15_t)0x5d94, (q15_t)0xa8ab, + (q15_t)0x5d83, (q15_t)0xa899, (q15_t)0x5d71, (q15_t)0xa887, (q15_t)0x5d60, (q15_t)0xa874, (q15_t)0x5d4f, (q15_t)0xa862, + (q15_t)0x5d3e, (q15_t)0xa850, (q15_t)0x5d2d, (q15_t)0xa83d, (q15_t)0x5d1b, (q15_t)0xa82b, (q15_t)0x5d0a, (q15_t)0xa819, + (q15_t)0x5cf9, (q15_t)0xa807, (q15_t)0x5ce8, (q15_t)0xa7f4, (q15_t)0x5cd6, (q15_t)0xa7e2, (q15_t)0x5cc5, (q15_t)0xa7d0, + (q15_t)0x5cb4, (q15_t)0xa7be, (q15_t)0x5ca2, (q15_t)0xa7ab, (q15_t)0x5c91, (q15_t)0xa799, (q15_t)0x5c80, (q15_t)0xa787, + (q15_t)0x5c6e, (q15_t)0xa775, (q15_t)0x5c5d, (q15_t)0xa763, (q15_t)0x5c4b, (q15_t)0xa751, (q15_t)0x5c3a, (q15_t)0xa73f, + (q15_t)0x5c29, (q15_t)0xa72c, (q15_t)0x5c17, (q15_t)0xa71a, (q15_t)0x5c06, (q15_t)0xa708, (q15_t)0x5bf4, (q15_t)0xa6f6, + (q15_t)0x5be3, (q15_t)0xa6e4, (q15_t)0x5bd1, (q15_t)0xa6d2, (q15_t)0x5bc0, (q15_t)0xa6c0, (q15_t)0x5bae, (q15_t)0xa6ae, + (q15_t)0x5b9d, (q15_t)0xa69c, (q15_t)0x5b8b, (q15_t)0xa68a, (q15_t)0x5b79, (q15_t)0xa678, (q15_t)0x5b68, (q15_t)0xa666, + (q15_t)0x5b56, (q15_t)0xa654, (q15_t)0x5b45, (q15_t)0xa642, (q15_t)0x5b33, (q15_t)0xa630, (q15_t)0x5b21, (q15_t)0xa61f, + (q15_t)0x5b10, (q15_t)0xa60d, (q15_t)0x5afe, (q15_t)0xa5fb, (q15_t)0x5aec, (q15_t)0xa5e9, (q15_t)0x5adb, (q15_t)0xa5d7, + (q15_t)0x5ac9, (q15_t)0xa5c5, (q15_t)0x5ab7, (q15_t)0xa5b3, (q15_t)0x5aa5, (q15_t)0xa5a2, (q15_t)0x5a94, (q15_t)0xa590, + (q15_t)0x5a82, (q15_t)0xa57e, (q15_t)0x5a70, (q15_t)0xa56c, (q15_t)0x5a5e, (q15_t)0xa55b, (q15_t)0x5a4d, (q15_t)0xa549, + (q15_t)0x5a3b, (q15_t)0xa537, (q15_t)0x5a29, (q15_t)0xa525, (q15_t)0x5a17, (q15_t)0xa514, (q15_t)0x5a05, (q15_t)0xa502, + (q15_t)0x59f3, (q15_t)0xa4f0, (q15_t)0x59e1, (q15_t)0xa4df, (q15_t)0x59d0, (q15_t)0xa4cd, (q15_t)0x59be, (q15_t)0xa4bb, + (q15_t)0x59ac, (q15_t)0xa4aa, (q15_t)0x599a, (q15_t)0xa498, (q15_t)0x5988, (q15_t)0xa487, (q15_t)0x5976, (q15_t)0xa475, + (q15_t)0x5964, (q15_t)0xa463, (q15_t)0x5952, (q15_t)0xa452, (q15_t)0x5940, (q15_t)0xa440, (q15_t)0x592e, (q15_t)0xa42f, + (q15_t)0x591c, (q15_t)0xa41d, (q15_t)0x590a, (q15_t)0xa40c, (q15_t)0x58f8, (q15_t)0xa3fa, (q15_t)0x58e6, (q15_t)0xa3e9, + (q15_t)0x58d4, (q15_t)0xa3d7, (q15_t)0x58c1, (q15_t)0xa3c6, (q15_t)0x58af, (q15_t)0xa3b5, (q15_t)0x589d, (q15_t)0xa3a3, + (q15_t)0x588b, (q15_t)0xa392, (q15_t)0x5879, (q15_t)0xa380, (q15_t)0x5867, (q15_t)0xa36f, (q15_t)0x5855, (q15_t)0xa35e, + (q15_t)0x5842, (q15_t)0xa34c, (q15_t)0x5830, (q15_t)0xa33b, (q15_t)0x581e, (q15_t)0xa32a, (q15_t)0x580c, (q15_t)0xa318, + (q15_t)0x57f9, (q15_t)0xa307, (q15_t)0x57e7, (q15_t)0xa2f6, (q15_t)0x57d5, (q15_t)0xa2e5, (q15_t)0x57c3, (q15_t)0xa2d3, + (q15_t)0x57b0, (q15_t)0xa2c2, (q15_t)0x579e, (q15_t)0xa2b1, (q15_t)0x578c, (q15_t)0xa2a0, (q15_t)0x5779, (q15_t)0xa28f, + (q15_t)0x5767, (q15_t)0xa27d, (q15_t)0x5755, (q15_t)0xa26c, (q15_t)0x5742, (q15_t)0xa25b, (q15_t)0x5730, (q15_t)0xa24a, + (q15_t)0x571d, (q15_t)0xa239, (q15_t)0x570b, (q15_t)0xa228, (q15_t)0x56f9, (q15_t)0xa217, (q15_t)0x56e6, (q15_t)0xa206, + (q15_t)0x56d4, (q15_t)0xa1f5, (q15_t)0x56c1, (q15_t)0xa1e4, (q15_t)0x56af, (q15_t)0xa1d3, (q15_t)0x569c, (q15_t)0xa1c1, + (q15_t)0x568a, (q15_t)0xa1b0, (q15_t)0x5677, (q15_t)0xa1a0, (q15_t)0x5665, (q15_t)0xa18f, (q15_t)0x5652, (q15_t)0xa17e, + (q15_t)0x5640, (q15_t)0xa16d, (q15_t)0x562d, (q15_t)0xa15c, (q15_t)0x561a, (q15_t)0xa14b, (q15_t)0x5608, (q15_t)0xa13a, + (q15_t)0x55f5, (q15_t)0xa129, (q15_t)0x55e3, (q15_t)0xa118, (q15_t)0x55d0, (q15_t)0xa107, (q15_t)0x55bd, (q15_t)0xa0f6, + (q15_t)0x55ab, (q15_t)0xa0e6, (q15_t)0x5598, (q15_t)0xa0d5, (q15_t)0x5585, (q15_t)0xa0c4, (q15_t)0x5572, (q15_t)0xa0b3, + (q15_t)0x5560, (q15_t)0xa0a2, (q15_t)0x554d, (q15_t)0xa092, (q15_t)0x553a, (q15_t)0xa081, (q15_t)0x5528, (q15_t)0xa070, + (q15_t)0x5515, (q15_t)0xa060, (q15_t)0x5502, (q15_t)0xa04f, (q15_t)0x54ef, (q15_t)0xa03e, (q15_t)0x54dc, (q15_t)0xa02d, + (q15_t)0x54ca, (q15_t)0xa01d, (q15_t)0x54b7, (q15_t)0xa00c, (q15_t)0x54a4, (q15_t)0x9ffc, (q15_t)0x5491, (q15_t)0x9feb, + (q15_t)0x547e, (q15_t)0x9fda, (q15_t)0x546b, (q15_t)0x9fca, (q15_t)0x5458, (q15_t)0x9fb9, (q15_t)0x5445, (q15_t)0x9fa9, + (q15_t)0x5433, (q15_t)0x9f98, (q15_t)0x5420, (q15_t)0x9f88, (q15_t)0x540d, (q15_t)0x9f77, (q15_t)0x53fa, (q15_t)0x9f67, + (q15_t)0x53e7, (q15_t)0x9f56, (q15_t)0x53d4, (q15_t)0x9f46, (q15_t)0x53c1, (q15_t)0x9f35, (q15_t)0x53ae, (q15_t)0x9f25, + (q15_t)0x539b, (q15_t)0x9f14, (q15_t)0x5388, (q15_t)0x9f04, (q15_t)0x5375, (q15_t)0x9ef3, (q15_t)0x5362, (q15_t)0x9ee3, + (q15_t)0x534e, (q15_t)0x9ed3, (q15_t)0x533b, (q15_t)0x9ec2, (q15_t)0x5328, (q15_t)0x9eb2, (q15_t)0x5315, (q15_t)0x9ea2, + (q15_t)0x5302, (q15_t)0x9e91, (q15_t)0x52ef, (q15_t)0x9e81, (q15_t)0x52dc, (q15_t)0x9e71, (q15_t)0x52c9, (q15_t)0x9e61, + (q15_t)0x52b5, (q15_t)0x9e50, (q15_t)0x52a2, (q15_t)0x9e40, (q15_t)0x528f, (q15_t)0x9e30, (q15_t)0x527c, (q15_t)0x9e20, + (q15_t)0x5269, (q15_t)0x9e0f, (q15_t)0x5255, (q15_t)0x9dff, (q15_t)0x5242, (q15_t)0x9def, (q15_t)0x522f, (q15_t)0x9ddf, + (q15_t)0x521c, (q15_t)0x9dcf, (q15_t)0x5208, (q15_t)0x9dbf, (q15_t)0x51f5, (q15_t)0x9daf, (q15_t)0x51e2, (q15_t)0x9d9f, + (q15_t)0x51ce, (q15_t)0x9d8f, (q15_t)0x51bb, (q15_t)0x9d7e, (q15_t)0x51a8, (q15_t)0x9d6e, (q15_t)0x5194, (q15_t)0x9d5e, + (q15_t)0x5181, (q15_t)0x9d4e, (q15_t)0x516e, (q15_t)0x9d3e, (q15_t)0x515a, (q15_t)0x9d2e, (q15_t)0x5147, (q15_t)0x9d1e, + (q15_t)0x5133, (q15_t)0x9d0e, (q15_t)0x5120, (q15_t)0x9cff, (q15_t)0x510c, (q15_t)0x9cef, (q15_t)0x50f9, (q15_t)0x9cdf, + (q15_t)0x50e5, (q15_t)0x9ccf, (q15_t)0x50d2, (q15_t)0x9cbf, (q15_t)0x50bf, (q15_t)0x9caf, (q15_t)0x50ab, (q15_t)0x9c9f, + (q15_t)0x5097, (q15_t)0x9c8f, (q15_t)0x5084, (q15_t)0x9c80, (q15_t)0x5070, (q15_t)0x9c70, (q15_t)0x505d, (q15_t)0x9c60, + (q15_t)0x5049, (q15_t)0x9c50, (q15_t)0x5036, (q15_t)0x9c40, (q15_t)0x5022, (q15_t)0x9c31, (q15_t)0x500f, (q15_t)0x9c21, + (q15_t)0x4ffb, (q15_t)0x9c11, (q15_t)0x4fe7, (q15_t)0x9c02, (q15_t)0x4fd4, (q15_t)0x9bf2, (q15_t)0x4fc0, (q15_t)0x9be2, + (q15_t)0x4fac, (q15_t)0x9bd3, (q15_t)0x4f99, (q15_t)0x9bc3, (q15_t)0x4f85, (q15_t)0x9bb3, (q15_t)0x4f71, (q15_t)0x9ba4, + (q15_t)0x4f5e, (q15_t)0x9b94, (q15_t)0x4f4a, (q15_t)0x9b85, (q15_t)0x4f36, (q15_t)0x9b75, (q15_t)0x4f22, (q15_t)0x9b65, + (q15_t)0x4f0f, (q15_t)0x9b56, (q15_t)0x4efb, (q15_t)0x9b46, (q15_t)0x4ee7, (q15_t)0x9b37, (q15_t)0x4ed3, (q15_t)0x9b27, + (q15_t)0x4ebf, (q15_t)0x9b18, (q15_t)0x4eac, (q15_t)0x9b09, (q15_t)0x4e98, (q15_t)0x9af9, (q15_t)0x4e84, (q15_t)0x9aea, + (q15_t)0x4e70, (q15_t)0x9ada, (q15_t)0x4e5c, (q15_t)0x9acb, (q15_t)0x4e48, (q15_t)0x9abb, (q15_t)0x4e34, (q15_t)0x9aac, + (q15_t)0x4e21, (q15_t)0x9a9d, (q15_t)0x4e0d, (q15_t)0x9a8d, (q15_t)0x4df9, (q15_t)0x9a7e, (q15_t)0x4de5, (q15_t)0x9a6f, + (q15_t)0x4dd1, (q15_t)0x9a60, (q15_t)0x4dbd, (q15_t)0x9a50, (q15_t)0x4da9, (q15_t)0x9a41, (q15_t)0x4d95, (q15_t)0x9a32, + (q15_t)0x4d81, (q15_t)0x9a23, (q15_t)0x4d6d, (q15_t)0x9a13, (q15_t)0x4d59, (q15_t)0x9a04, (q15_t)0x4d45, (q15_t)0x99f5, + (q15_t)0x4d31, (q15_t)0x99e6, (q15_t)0x4d1d, (q15_t)0x99d7, (q15_t)0x4d09, (q15_t)0x99c7, (q15_t)0x4cf5, (q15_t)0x99b8, + (q15_t)0x4ce1, (q15_t)0x99a9, (q15_t)0x4ccc, (q15_t)0x999a, (q15_t)0x4cb8, (q15_t)0x998b, (q15_t)0x4ca4, (q15_t)0x997c, + (q15_t)0x4c90, (q15_t)0x996d, (q15_t)0x4c7c, (q15_t)0x995e, (q15_t)0x4c68, (q15_t)0x994f, (q15_t)0x4c54, (q15_t)0x9940, + (q15_t)0x4c3f, (q15_t)0x9931, (q15_t)0x4c2b, (q15_t)0x9922, (q15_t)0x4c17, (q15_t)0x9913, (q15_t)0x4c03, (q15_t)0x9904, + (q15_t)0x4bef, (q15_t)0x98f5, (q15_t)0x4bda, (q15_t)0x98e6, (q15_t)0x4bc6, (q15_t)0x98d7, (q15_t)0x4bb2, (q15_t)0x98c9, + (q15_t)0x4b9e, (q15_t)0x98ba, (q15_t)0x4b89, (q15_t)0x98ab, (q15_t)0x4b75, (q15_t)0x989c, (q15_t)0x4b61, (q15_t)0x988d, + (q15_t)0x4b4c, (q15_t)0x987e, (q15_t)0x4b38, (q15_t)0x9870, (q15_t)0x4b24, (q15_t)0x9861, (q15_t)0x4b0f, (q15_t)0x9852, + (q15_t)0x4afb, (q15_t)0x9843, (q15_t)0x4ae7, (q15_t)0x9835, (q15_t)0x4ad2, (q15_t)0x9826, (q15_t)0x4abe, (q15_t)0x9817, + (q15_t)0x4aa9, (q15_t)0x9809, (q15_t)0x4a95, (q15_t)0x97fa, (q15_t)0x4a81, (q15_t)0x97eb, (q15_t)0x4a6c, (q15_t)0x97dd, + (q15_t)0x4a58, (q15_t)0x97ce, (q15_t)0x4a43, (q15_t)0x97c0, (q15_t)0x4a2f, (q15_t)0x97b1, (q15_t)0x4a1a, (q15_t)0x97a2, + (q15_t)0x4a06, (q15_t)0x9794, (q15_t)0x49f1, (q15_t)0x9785, (q15_t)0x49dd, (q15_t)0x9777, (q15_t)0x49c8, (q15_t)0x9768, + (q15_t)0x49b4, (q15_t)0x975a, (q15_t)0x499f, (q15_t)0x974b, (q15_t)0x498a, (q15_t)0x973d, (q15_t)0x4976, (q15_t)0x972f, + (q15_t)0x4961, (q15_t)0x9720, (q15_t)0x494d, (q15_t)0x9712, (q15_t)0x4938, (q15_t)0x9703, (q15_t)0x4923, (q15_t)0x96f5, + (q15_t)0x490f, (q15_t)0x96e7, (q15_t)0x48fa, (q15_t)0x96d8, (q15_t)0x48e6, (q15_t)0x96ca, (q15_t)0x48d1, (q15_t)0x96bc, + (q15_t)0x48bc, (q15_t)0x96ad, (q15_t)0x48a8, (q15_t)0x969f, (q15_t)0x4893, (q15_t)0x9691, (q15_t)0x487e, (q15_t)0x9683, + (q15_t)0x4869, (q15_t)0x9674, (q15_t)0x4855, (q15_t)0x9666, (q15_t)0x4840, (q15_t)0x9658, (q15_t)0x482b, (q15_t)0x964a, + (q15_t)0x4816, (q15_t)0x963c, (q15_t)0x4802, (q15_t)0x962d, (q15_t)0x47ed, (q15_t)0x961f, (q15_t)0x47d8, (q15_t)0x9611, + (q15_t)0x47c3, (q15_t)0x9603, (q15_t)0x47ae, (q15_t)0x95f5, (q15_t)0x479a, (q15_t)0x95e7, (q15_t)0x4785, (q15_t)0x95d9, + (q15_t)0x4770, (q15_t)0x95cb, (q15_t)0x475b, (q15_t)0x95bd, (q15_t)0x4746, (q15_t)0x95af, (q15_t)0x4731, (q15_t)0x95a1, + (q15_t)0x471c, (q15_t)0x9593, (q15_t)0x4708, (q15_t)0x9585, (q15_t)0x46f3, (q15_t)0x9577, (q15_t)0x46de, (q15_t)0x9569, + (q15_t)0x46c9, (q15_t)0x955b, (q15_t)0x46b4, (q15_t)0x954d, (q15_t)0x469f, (q15_t)0x953f, (q15_t)0x468a, (q15_t)0x9532, + (q15_t)0x4675, (q15_t)0x9524, (q15_t)0x4660, (q15_t)0x9516, (q15_t)0x464b, (q15_t)0x9508, (q15_t)0x4636, (q15_t)0x94fa, + (q15_t)0x4621, (q15_t)0x94ed, (q15_t)0x460c, (q15_t)0x94df, (q15_t)0x45f7, (q15_t)0x94d1, (q15_t)0x45e2, (q15_t)0x94c3, + (q15_t)0x45cd, (q15_t)0x94b6, (q15_t)0x45b8, (q15_t)0x94a8, (q15_t)0x45a3, (q15_t)0x949a, (q15_t)0x458d, (q15_t)0x948d, + (q15_t)0x4578, (q15_t)0x947f, (q15_t)0x4563, (q15_t)0x9471, (q15_t)0x454e, (q15_t)0x9464, (q15_t)0x4539, (q15_t)0x9456, + (q15_t)0x4524, (q15_t)0x9448, (q15_t)0x450f, (q15_t)0x943b, (q15_t)0x44fa, (q15_t)0x942d, (q15_t)0x44e4, (q15_t)0x9420, + (q15_t)0x44cf, (q15_t)0x9412, (q15_t)0x44ba, (q15_t)0x9405, (q15_t)0x44a5, (q15_t)0x93f7, (q15_t)0x4490, (q15_t)0x93ea, + (q15_t)0x447a, (q15_t)0x93dc, (q15_t)0x4465, (q15_t)0x93cf, (q15_t)0x4450, (q15_t)0x93c1, (q15_t)0x443b, (q15_t)0x93b4, + (q15_t)0x4425, (q15_t)0x93a7, (q15_t)0x4410, (q15_t)0x9399, (q15_t)0x43fb, (q15_t)0x938c, (q15_t)0x43e5, (q15_t)0x937f, + (q15_t)0x43d0, (q15_t)0x9371, (q15_t)0x43bb, (q15_t)0x9364, (q15_t)0x43a5, (q15_t)0x9357, (q15_t)0x4390, (q15_t)0x9349, + (q15_t)0x437b, (q15_t)0x933c, (q15_t)0x4365, (q15_t)0x932f, (q15_t)0x4350, (q15_t)0x9322, (q15_t)0x433b, (q15_t)0x9314, + (q15_t)0x4325, (q15_t)0x9307, (q15_t)0x4310, (q15_t)0x92fa, (q15_t)0x42fa, (q15_t)0x92ed, (q15_t)0x42e5, (q15_t)0x92e0, + (q15_t)0x42d0, (q15_t)0x92d3, (q15_t)0x42ba, (q15_t)0x92c6, (q15_t)0x42a5, (q15_t)0x92b8, (q15_t)0x428f, (q15_t)0x92ab, + (q15_t)0x427a, (q15_t)0x929e, (q15_t)0x4264, (q15_t)0x9291, (q15_t)0x424f, (q15_t)0x9284, (q15_t)0x4239, (q15_t)0x9277, + (q15_t)0x4224, (q15_t)0x926a, (q15_t)0x420e, (q15_t)0x925d, (q15_t)0x41f9, (q15_t)0x9250, (q15_t)0x41e3, (q15_t)0x9243, + (q15_t)0x41ce, (q15_t)0x9236, (q15_t)0x41b8, (q15_t)0x922a, (q15_t)0x41a2, (q15_t)0x921d, (q15_t)0x418d, (q15_t)0x9210, + (q15_t)0x4177, (q15_t)0x9203, (q15_t)0x4162, (q15_t)0x91f6, (q15_t)0x414c, (q15_t)0x91e9, (q15_t)0x4136, (q15_t)0x91dc, + (q15_t)0x4121, (q15_t)0x91d0, (q15_t)0x410b, (q15_t)0x91c3, (q15_t)0x40f6, (q15_t)0x91b6, (q15_t)0x40e0, (q15_t)0x91a9, + (q15_t)0x40ca, (q15_t)0x919d, (q15_t)0x40b5, (q15_t)0x9190, (q15_t)0x409f, (q15_t)0x9183, (q15_t)0x4089, (q15_t)0x9177, + (q15_t)0x4073, (q15_t)0x916a, (q15_t)0x405e, (q15_t)0x915d, (q15_t)0x4048, (q15_t)0x9151, (q15_t)0x4032, (q15_t)0x9144, + (q15_t)0x401d, (q15_t)0x9137, (q15_t)0x4007, (q15_t)0x912b, (q15_t)0x3ff1, (q15_t)0x911e, (q15_t)0x3fdb, (q15_t)0x9112, + (q15_t)0x3fc5, (q15_t)0x9105, (q15_t)0x3fb0, (q15_t)0x90f9, (q15_t)0x3f9a, (q15_t)0x90ec, (q15_t)0x3f84, (q15_t)0x90e0, + (q15_t)0x3f6e, (q15_t)0x90d3, (q15_t)0x3f58, (q15_t)0x90c7, (q15_t)0x3f43, (q15_t)0x90ba, (q15_t)0x3f2d, (q15_t)0x90ae, + (q15_t)0x3f17, (q15_t)0x90a1, (q15_t)0x3f01, (q15_t)0x9095, (q15_t)0x3eeb, (q15_t)0x9089, (q15_t)0x3ed5, (q15_t)0x907c, + (q15_t)0x3ebf, (q15_t)0x9070, (q15_t)0x3ea9, (q15_t)0x9064, (q15_t)0x3e93, (q15_t)0x9057, (q15_t)0x3e7d, (q15_t)0x904b, + (q15_t)0x3e68, (q15_t)0x903f, (q15_t)0x3e52, (q15_t)0x9033, (q15_t)0x3e3c, (q15_t)0x9026, (q15_t)0x3e26, (q15_t)0x901a, + (q15_t)0x3e10, (q15_t)0x900e, (q15_t)0x3dfa, (q15_t)0x9002, (q15_t)0x3de4, (q15_t)0x8ff6, (q15_t)0x3dce, (q15_t)0x8fea, + (q15_t)0x3db8, (q15_t)0x8fdd, (q15_t)0x3da2, (q15_t)0x8fd1, (q15_t)0x3d8c, (q15_t)0x8fc5, (q15_t)0x3d76, (q15_t)0x8fb9, + (q15_t)0x3d60, (q15_t)0x8fad, (q15_t)0x3d49, (q15_t)0x8fa1, (q15_t)0x3d33, (q15_t)0x8f95, (q15_t)0x3d1d, (q15_t)0x8f89, + (q15_t)0x3d07, (q15_t)0x8f7d, (q15_t)0x3cf1, (q15_t)0x8f71, (q15_t)0x3cdb, (q15_t)0x8f65, (q15_t)0x3cc5, (q15_t)0x8f59, + (q15_t)0x3caf, (q15_t)0x8f4d, (q15_t)0x3c99, (q15_t)0x8f41, (q15_t)0x3c83, (q15_t)0x8f35, (q15_t)0x3c6c, (q15_t)0x8f2a, + (q15_t)0x3c56, (q15_t)0x8f1e, (q15_t)0x3c40, (q15_t)0x8f12, (q15_t)0x3c2a, (q15_t)0x8f06, (q15_t)0x3c14, (q15_t)0x8efa, + (q15_t)0x3bfd, (q15_t)0x8eee, (q15_t)0x3be7, (q15_t)0x8ee3, (q15_t)0x3bd1, (q15_t)0x8ed7, (q15_t)0x3bbb, (q15_t)0x8ecb, + (q15_t)0x3ba5, (q15_t)0x8ebf, (q15_t)0x3b8e, (q15_t)0x8eb4, (q15_t)0x3b78, (q15_t)0x8ea8, (q15_t)0x3b62, (q15_t)0x8e9c, + (q15_t)0x3b4c, (q15_t)0x8e91, (q15_t)0x3b35, (q15_t)0x8e85, (q15_t)0x3b1f, (q15_t)0x8e7a, (q15_t)0x3b09, (q15_t)0x8e6e, + (q15_t)0x3af2, (q15_t)0x8e62, (q15_t)0x3adc, (q15_t)0x8e57, (q15_t)0x3ac6, (q15_t)0x8e4b, (q15_t)0x3aaf, (q15_t)0x8e40, + (q15_t)0x3a99, (q15_t)0x8e34, (q15_t)0x3a83, (q15_t)0x8e29, (q15_t)0x3a6c, (q15_t)0x8e1d, (q15_t)0x3a56, (q15_t)0x8e12, + (q15_t)0x3a40, (q15_t)0x8e06, (q15_t)0x3a29, (q15_t)0x8dfb, (q15_t)0x3a13, (q15_t)0x8def, (q15_t)0x39fd, (q15_t)0x8de4, + (q15_t)0x39e6, (q15_t)0x8dd9, (q15_t)0x39d0, (q15_t)0x8dcd, (q15_t)0x39b9, (q15_t)0x8dc2, (q15_t)0x39a3, (q15_t)0x8db7, + (q15_t)0x398c, (q15_t)0x8dab, (q15_t)0x3976, (q15_t)0x8da0, (q15_t)0x395f, (q15_t)0x8d95, (q15_t)0x3949, (q15_t)0x8d8a, + (q15_t)0x3932, (q15_t)0x8d7e, (q15_t)0x391c, (q15_t)0x8d73, (q15_t)0x3906, (q15_t)0x8d68, (q15_t)0x38ef, (q15_t)0x8d5d, + (q15_t)0x38d8, (q15_t)0x8d51, (q15_t)0x38c2, (q15_t)0x8d46, (q15_t)0x38ab, (q15_t)0x8d3b, (q15_t)0x3895, (q15_t)0x8d30, + (q15_t)0x387e, (q15_t)0x8d25, (q15_t)0x3868, (q15_t)0x8d1a, (q15_t)0x3851, (q15_t)0x8d0f, (q15_t)0x383b, (q15_t)0x8d04, + (q15_t)0x3824, (q15_t)0x8cf9, (q15_t)0x380d, (q15_t)0x8cee, (q15_t)0x37f7, (q15_t)0x8ce3, (q15_t)0x37e0, (q15_t)0x8cd8, + (q15_t)0x37ca, (q15_t)0x8ccd, (q15_t)0x37b3, (q15_t)0x8cc2, (q15_t)0x379c, (q15_t)0x8cb7, (q15_t)0x3786, (q15_t)0x8cac, + (q15_t)0x376f, (q15_t)0x8ca1, (q15_t)0x3758, (q15_t)0x8c96, (q15_t)0x3742, (q15_t)0x8c8b, (q15_t)0x372b, (q15_t)0x8c81, + (q15_t)0x3714, (q15_t)0x8c76, (q15_t)0x36fe, (q15_t)0x8c6b, (q15_t)0x36e7, (q15_t)0x8c60, (q15_t)0x36d0, (q15_t)0x8c55, + (q15_t)0x36ba, (q15_t)0x8c4b, (q15_t)0x36a3, (q15_t)0x8c40, (q15_t)0x368c, (q15_t)0x8c35, (q15_t)0x3675, (q15_t)0x8c2a, + (q15_t)0x365f, (q15_t)0x8c20, (q15_t)0x3648, (q15_t)0x8c15, (q15_t)0x3631, (q15_t)0x8c0a, (q15_t)0x361a, (q15_t)0x8c00, + (q15_t)0x3604, (q15_t)0x8bf5, (q15_t)0x35ed, (q15_t)0x8beb, (q15_t)0x35d6, (q15_t)0x8be0, (q15_t)0x35bf, (q15_t)0x8bd5, + (q15_t)0x35a8, (q15_t)0x8bcb, (q15_t)0x3592, (q15_t)0x8bc0, (q15_t)0x357b, (q15_t)0x8bb6, (q15_t)0x3564, (q15_t)0x8bab, + (q15_t)0x354d, (q15_t)0x8ba1, (q15_t)0x3536, (q15_t)0x8b96, (q15_t)0x351f, (q15_t)0x8b8c, (q15_t)0x3508, (q15_t)0x8b82, + (q15_t)0x34f2, (q15_t)0x8b77, (q15_t)0x34db, (q15_t)0x8b6d, (q15_t)0x34c4, (q15_t)0x8b62, (q15_t)0x34ad, (q15_t)0x8b58, + (q15_t)0x3496, (q15_t)0x8b4e, (q15_t)0x347f, (q15_t)0x8b43, (q15_t)0x3468, (q15_t)0x8b39, (q15_t)0x3451, (q15_t)0x8b2f, + (q15_t)0x343a, (q15_t)0x8b25, (q15_t)0x3423, (q15_t)0x8b1a, (q15_t)0x340c, (q15_t)0x8b10, (q15_t)0x33f5, (q15_t)0x8b06, + (q15_t)0x33de, (q15_t)0x8afc, (q15_t)0x33c7, (q15_t)0x8af1, (q15_t)0x33b0, (q15_t)0x8ae7, (q15_t)0x3399, (q15_t)0x8add, + (q15_t)0x3382, (q15_t)0x8ad3, (q15_t)0x336b, (q15_t)0x8ac9, (q15_t)0x3354, (q15_t)0x8abf, (q15_t)0x333d, (q15_t)0x8ab5, + (q15_t)0x3326, (q15_t)0x8aab, (q15_t)0x330f, (q15_t)0x8aa1, (q15_t)0x32f8, (q15_t)0x8a97, (q15_t)0x32e1, (q15_t)0x8a8d, + (q15_t)0x32ca, (q15_t)0x8a83, (q15_t)0x32b3, (q15_t)0x8a79, (q15_t)0x329c, (q15_t)0x8a6f, (q15_t)0x3285, (q15_t)0x8a65, + (q15_t)0x326e, (q15_t)0x8a5b, (q15_t)0x3257, (q15_t)0x8a51, (q15_t)0x3240, (q15_t)0x8a47, (q15_t)0x3228, (q15_t)0x8a3d, + (q15_t)0x3211, (q15_t)0x8a34, (q15_t)0x31fa, (q15_t)0x8a2a, (q15_t)0x31e3, (q15_t)0x8a20, (q15_t)0x31cc, (q15_t)0x8a16, + (q15_t)0x31b5, (q15_t)0x8a0c, (q15_t)0x319e, (q15_t)0x8a03, (q15_t)0x3186, (q15_t)0x89f9, (q15_t)0x316f, (q15_t)0x89ef, + (q15_t)0x3158, (q15_t)0x89e5, (q15_t)0x3141, (q15_t)0x89dc, (q15_t)0x312a, (q15_t)0x89d2, (q15_t)0x3112, (q15_t)0x89c8, + (q15_t)0x30fb, (q15_t)0x89bf, (q15_t)0x30e4, (q15_t)0x89b5, (q15_t)0x30cd, (q15_t)0x89ac, (q15_t)0x30b6, (q15_t)0x89a2, + (q15_t)0x309e, (q15_t)0x8998, (q15_t)0x3087, (q15_t)0x898f, (q15_t)0x3070, (q15_t)0x8985, (q15_t)0x3059, (q15_t)0x897c, + (q15_t)0x3041, (q15_t)0x8972, (q15_t)0x302a, (q15_t)0x8969, (q15_t)0x3013, (q15_t)0x8960, (q15_t)0x2ffb, (q15_t)0x8956, + (q15_t)0x2fe4, (q15_t)0x894d, (q15_t)0x2fcd, (q15_t)0x8943, (q15_t)0x2fb5, (q15_t)0x893a, (q15_t)0x2f9e, (q15_t)0x8931, + (q15_t)0x2f87, (q15_t)0x8927, (q15_t)0x2f6f, (q15_t)0x891e, (q15_t)0x2f58, (q15_t)0x8915, (q15_t)0x2f41, (q15_t)0x890b, + (q15_t)0x2f29, (q15_t)0x8902, (q15_t)0x2f12, (q15_t)0x88f9, (q15_t)0x2efb, (q15_t)0x88f0, (q15_t)0x2ee3, (q15_t)0x88e6, + (q15_t)0x2ecc, (q15_t)0x88dd, (q15_t)0x2eb5, (q15_t)0x88d4, (q15_t)0x2e9d, (q15_t)0x88cb, (q15_t)0x2e86, (q15_t)0x88c2, + (q15_t)0x2e6e, (q15_t)0x88b9, (q15_t)0x2e57, (q15_t)0x88af, (q15_t)0x2e3f, (q15_t)0x88a6, (q15_t)0x2e28, (q15_t)0x889d, + (q15_t)0x2e11, (q15_t)0x8894, (q15_t)0x2df9, (q15_t)0x888b, (q15_t)0x2de2, (q15_t)0x8882, (q15_t)0x2dca, (q15_t)0x8879, + (q15_t)0x2db3, (q15_t)0x8870, (q15_t)0x2d9b, (q15_t)0x8867, (q15_t)0x2d84, (q15_t)0x885e, (q15_t)0x2d6c, (q15_t)0x8855, + (q15_t)0x2d55, (q15_t)0x884c, (q15_t)0x2d3d, (q15_t)0x8844, (q15_t)0x2d26, (q15_t)0x883b, (q15_t)0x2d0e, (q15_t)0x8832, + (q15_t)0x2cf7, (q15_t)0x8829, (q15_t)0x2cdf, (q15_t)0x8820, (q15_t)0x2cc8, (q15_t)0x8817, (q15_t)0x2cb0, (q15_t)0x880f, + (q15_t)0x2c98, (q15_t)0x8806, (q15_t)0x2c81, (q15_t)0x87fd, (q15_t)0x2c69, (q15_t)0x87f4, (q15_t)0x2c52, (q15_t)0x87ec, + (q15_t)0x2c3a, (q15_t)0x87e3, (q15_t)0x2c23, (q15_t)0x87da, (q15_t)0x2c0b, (q15_t)0x87d2, (q15_t)0x2bf3, (q15_t)0x87c9, + (q15_t)0x2bdc, (q15_t)0x87c0, (q15_t)0x2bc4, (q15_t)0x87b8, (q15_t)0x2bad, (q15_t)0x87af, (q15_t)0x2b95, (q15_t)0x87a7, + (q15_t)0x2b7d, (q15_t)0x879e, (q15_t)0x2b66, (q15_t)0x8795, (q15_t)0x2b4e, (q15_t)0x878d, (q15_t)0x2b36, (q15_t)0x8784, + (q15_t)0x2b1f, (q15_t)0x877c, (q15_t)0x2b07, (q15_t)0x8774, (q15_t)0x2aef, (q15_t)0x876b, (q15_t)0x2ad8, (q15_t)0x8763, + (q15_t)0x2ac0, (q15_t)0x875a, (q15_t)0x2aa8, (q15_t)0x8752, (q15_t)0x2a91, (q15_t)0x874a, (q15_t)0x2a79, (q15_t)0x8741, + (q15_t)0x2a61, (q15_t)0x8739, (q15_t)0x2a49, (q15_t)0x8731, (q15_t)0x2a32, (q15_t)0x8728, (q15_t)0x2a1a, (q15_t)0x8720, + (q15_t)0x2a02, (q15_t)0x8718, (q15_t)0x29eb, (q15_t)0x870f, (q15_t)0x29d3, (q15_t)0x8707, (q15_t)0x29bb, (q15_t)0x86ff, + (q15_t)0x29a3, (q15_t)0x86f7, (q15_t)0x298b, (q15_t)0x86ef, (q15_t)0x2974, (q15_t)0x86e7, (q15_t)0x295c, (q15_t)0x86de, + (q15_t)0x2944, (q15_t)0x86d6, (q15_t)0x292c, (q15_t)0x86ce, (q15_t)0x2915, (q15_t)0x86c6, (q15_t)0x28fd, (q15_t)0x86be, + (q15_t)0x28e5, (q15_t)0x86b6, (q15_t)0x28cd, (q15_t)0x86ae, (q15_t)0x28b5, (q15_t)0x86a6, (q15_t)0x289d, (q15_t)0x869e, + (q15_t)0x2886, (q15_t)0x8696, (q15_t)0x286e, (q15_t)0x868e, (q15_t)0x2856, (q15_t)0x8686, (q15_t)0x283e, (q15_t)0x867e, + (q15_t)0x2826, (q15_t)0x8676, (q15_t)0x280e, (q15_t)0x866e, (q15_t)0x27f6, (q15_t)0x8667, (q15_t)0x27df, (q15_t)0x865f, + (q15_t)0x27c7, (q15_t)0x8657, (q15_t)0x27af, (q15_t)0x864f, (q15_t)0x2797, (q15_t)0x8647, (q15_t)0x277f, (q15_t)0x8640, + (q15_t)0x2767, (q15_t)0x8638, (q15_t)0x274f, (q15_t)0x8630, (q15_t)0x2737, (q15_t)0x8628, (q15_t)0x271f, (q15_t)0x8621, + (q15_t)0x2707, (q15_t)0x8619, (q15_t)0x26ef, (q15_t)0x8611, (q15_t)0x26d8, (q15_t)0x860a, (q15_t)0x26c0, (q15_t)0x8602, + (q15_t)0x26a8, (q15_t)0x85fb, (q15_t)0x2690, (q15_t)0x85f3, (q15_t)0x2678, (q15_t)0x85eb, (q15_t)0x2660, (q15_t)0x85e4, + (q15_t)0x2648, (q15_t)0x85dc, (q15_t)0x2630, (q15_t)0x85d5, (q15_t)0x2618, (q15_t)0x85cd, (q15_t)0x2600, (q15_t)0x85c6, + (q15_t)0x25e8, (q15_t)0x85be, (q15_t)0x25d0, (q15_t)0x85b7, (q15_t)0x25b8, (q15_t)0x85b0, (q15_t)0x25a0, (q15_t)0x85a8, + (q15_t)0x2588, (q15_t)0x85a1, (q15_t)0x2570, (q15_t)0x8599, (q15_t)0x2558, (q15_t)0x8592, (q15_t)0x2540, (q15_t)0x858b, + (q15_t)0x2528, (q15_t)0x8583, (q15_t)0x250f, (q15_t)0x857c, (q15_t)0x24f7, (q15_t)0x8575, (q15_t)0x24df, (q15_t)0x856e, + (q15_t)0x24c7, (q15_t)0x8566, (q15_t)0x24af, (q15_t)0x855f, (q15_t)0x2497, (q15_t)0x8558, (q15_t)0x247f, (q15_t)0x8551, + (q15_t)0x2467, (q15_t)0x854a, (q15_t)0x244f, (q15_t)0x8543, (q15_t)0x2437, (q15_t)0x853b, (q15_t)0x241f, (q15_t)0x8534, + (q15_t)0x2407, (q15_t)0x852d, (q15_t)0x23ee, (q15_t)0x8526, (q15_t)0x23d6, (q15_t)0x851f, (q15_t)0x23be, (q15_t)0x8518, + (q15_t)0x23a6, (q15_t)0x8511, (q15_t)0x238e, (q15_t)0x850a, (q15_t)0x2376, (q15_t)0x8503, (q15_t)0x235e, (q15_t)0x84fc, + (q15_t)0x2345, (q15_t)0x84f5, (q15_t)0x232d, (q15_t)0x84ee, (q15_t)0x2315, (q15_t)0x84e7, (q15_t)0x22fd, (q15_t)0x84e1, + (q15_t)0x22e5, (q15_t)0x84da, (q15_t)0x22cd, (q15_t)0x84d3, (q15_t)0x22b4, (q15_t)0x84cc, (q15_t)0x229c, (q15_t)0x84c5, + (q15_t)0x2284, (q15_t)0x84be, (q15_t)0x226c, (q15_t)0x84b8, (q15_t)0x2254, (q15_t)0x84b1, (q15_t)0x223b, (q15_t)0x84aa, + (q15_t)0x2223, (q15_t)0x84a3, (q15_t)0x220b, (q15_t)0x849d, (q15_t)0x21f3, (q15_t)0x8496, (q15_t)0x21da, (q15_t)0x848f, + (q15_t)0x21c2, (q15_t)0x8489, (q15_t)0x21aa, (q15_t)0x8482, (q15_t)0x2192, (q15_t)0x847c, (q15_t)0x2179, (q15_t)0x8475, + (q15_t)0x2161, (q15_t)0x846e, (q15_t)0x2149, (q15_t)0x8468, (q15_t)0x2131, (q15_t)0x8461, (q15_t)0x2118, (q15_t)0x845b, + (q15_t)0x2100, (q15_t)0x8454, (q15_t)0x20e8, (q15_t)0x844e, (q15_t)0x20d0, (q15_t)0x8447, (q15_t)0x20b7, (q15_t)0x8441, + (q15_t)0x209f, (q15_t)0x843b, (q15_t)0x2087, (q15_t)0x8434, (q15_t)0x206e, (q15_t)0x842e, (q15_t)0x2056, (q15_t)0x8427, + (q15_t)0x203e, (q15_t)0x8421, (q15_t)0x2025, (q15_t)0x841b, (q15_t)0x200d, (q15_t)0x8415, (q15_t)0x1ff5, (q15_t)0x840e, + (q15_t)0x1fdc, (q15_t)0x8408, (q15_t)0x1fc4, (q15_t)0x8402, (q15_t)0x1fac, (q15_t)0x83fb, (q15_t)0x1f93, (q15_t)0x83f5, + (q15_t)0x1f7b, (q15_t)0x83ef, (q15_t)0x1f63, (q15_t)0x83e9, (q15_t)0x1f4a, (q15_t)0x83e3, (q15_t)0x1f32, (q15_t)0x83dd, + (q15_t)0x1f19, (q15_t)0x83d7, (q15_t)0x1f01, (q15_t)0x83d0, (q15_t)0x1ee9, (q15_t)0x83ca, (q15_t)0x1ed0, (q15_t)0x83c4, + (q15_t)0x1eb8, (q15_t)0x83be, (q15_t)0x1ea0, (q15_t)0x83b8, (q15_t)0x1e87, (q15_t)0x83b2, (q15_t)0x1e6f, (q15_t)0x83ac, + (q15_t)0x1e56, (q15_t)0x83a6, (q15_t)0x1e3e, (q15_t)0x83a0, (q15_t)0x1e25, (q15_t)0x839a, (q15_t)0x1e0d, (q15_t)0x8394, + (q15_t)0x1df5, (q15_t)0x838f, (q15_t)0x1ddc, (q15_t)0x8389, (q15_t)0x1dc4, (q15_t)0x8383, (q15_t)0x1dab, (q15_t)0x837d, + (q15_t)0x1d93, (q15_t)0x8377, (q15_t)0x1d7a, (q15_t)0x8371, (q15_t)0x1d62, (q15_t)0x836c, (q15_t)0x1d49, (q15_t)0x8366, + (q15_t)0x1d31, (q15_t)0x8360, (q15_t)0x1d18, (q15_t)0x835a, (q15_t)0x1d00, (q15_t)0x8355, (q15_t)0x1ce8, (q15_t)0x834f, + (q15_t)0x1ccf, (q15_t)0x8349, (q15_t)0x1cb7, (q15_t)0x8344, (q15_t)0x1c9e, (q15_t)0x833e, (q15_t)0x1c86, (q15_t)0x8338, + (q15_t)0x1c6d, (q15_t)0x8333, (q15_t)0x1c55, (q15_t)0x832d, (q15_t)0x1c3c, (q15_t)0x8328, (q15_t)0x1c24, (q15_t)0x8322, + (q15_t)0x1c0b, (q15_t)0x831d, (q15_t)0x1bf2, (q15_t)0x8317, (q15_t)0x1bda, (q15_t)0x8312, (q15_t)0x1bc1, (q15_t)0x830c, + (q15_t)0x1ba9, (q15_t)0x8307, (q15_t)0x1b90, (q15_t)0x8301, (q15_t)0x1b78, (q15_t)0x82fc, (q15_t)0x1b5f, (q15_t)0x82f7, + (q15_t)0x1b47, (q15_t)0x82f1, (q15_t)0x1b2e, (q15_t)0x82ec, (q15_t)0x1b16, (q15_t)0x82e7, (q15_t)0x1afd, (q15_t)0x82e1, + (q15_t)0x1ae4, (q15_t)0x82dc, (q15_t)0x1acc, (q15_t)0x82d7, (q15_t)0x1ab3, (q15_t)0x82d1, (q15_t)0x1a9b, (q15_t)0x82cc, + (q15_t)0x1a82, (q15_t)0x82c7, (q15_t)0x1a6a, (q15_t)0x82c2, (q15_t)0x1a51, (q15_t)0x82bd, (q15_t)0x1a38, (q15_t)0x82b7, + (q15_t)0x1a20, (q15_t)0x82b2, (q15_t)0x1a07, (q15_t)0x82ad, (q15_t)0x19ef, (q15_t)0x82a8, (q15_t)0x19d6, (q15_t)0x82a3, + (q15_t)0x19bd, (q15_t)0x829e, (q15_t)0x19a5, (q15_t)0x8299, (q15_t)0x198c, (q15_t)0x8294, (q15_t)0x1973, (q15_t)0x828f, + (q15_t)0x195b, (q15_t)0x828a, (q15_t)0x1942, (q15_t)0x8285, (q15_t)0x192a, (q15_t)0x8280, (q15_t)0x1911, (q15_t)0x827b, + (q15_t)0x18f8, (q15_t)0x8276, (q15_t)0x18e0, (q15_t)0x8271, (q15_t)0x18c7, (q15_t)0x826c, (q15_t)0x18ae, (q15_t)0x8268, + (q15_t)0x1896, (q15_t)0x8263, (q15_t)0x187d, (q15_t)0x825e, (q15_t)0x1864, (q15_t)0x8259, (q15_t)0x184c, (q15_t)0x8254, + (q15_t)0x1833, (q15_t)0x8250, (q15_t)0x181a, (q15_t)0x824b, (q15_t)0x1802, (q15_t)0x8246, (q15_t)0x17e9, (q15_t)0x8241, + (q15_t)0x17d0, (q15_t)0x823d, (q15_t)0x17b7, (q15_t)0x8238, (q15_t)0x179f, (q15_t)0x8233, (q15_t)0x1786, (q15_t)0x822f, + (q15_t)0x176d, (q15_t)0x822a, (q15_t)0x1755, (q15_t)0x8226, (q15_t)0x173c, (q15_t)0x8221, (q15_t)0x1723, (q15_t)0x821c, + (q15_t)0x170a, (q15_t)0x8218, (q15_t)0x16f2, (q15_t)0x8213, (q15_t)0x16d9, (q15_t)0x820f, (q15_t)0x16c0, (q15_t)0x820a, + (q15_t)0x16a8, (q15_t)0x8206, (q15_t)0x168f, (q15_t)0x8201, (q15_t)0x1676, (q15_t)0x81fd, (q15_t)0x165d, (q15_t)0x81f9, + (q15_t)0x1645, (q15_t)0x81f4, (q15_t)0x162c, (q15_t)0x81f0, (q15_t)0x1613, (q15_t)0x81ec, (q15_t)0x15fa, (q15_t)0x81e7, + (q15_t)0x15e2, (q15_t)0x81e3, (q15_t)0x15c9, (q15_t)0x81df, (q15_t)0x15b0, (q15_t)0x81da, (q15_t)0x1597, (q15_t)0x81d6, + (q15_t)0x157f, (q15_t)0x81d2, (q15_t)0x1566, (q15_t)0x81ce, (q15_t)0x154d, (q15_t)0x81c9, (q15_t)0x1534, (q15_t)0x81c5, + (q15_t)0x151b, (q15_t)0x81c1, (q15_t)0x1503, (q15_t)0x81bd, (q15_t)0x14ea, (q15_t)0x81b9, (q15_t)0x14d1, (q15_t)0x81b5, + (q15_t)0x14b8, (q15_t)0x81b1, (q15_t)0x149f, (q15_t)0x81ad, (q15_t)0x1487, (q15_t)0x81a9, (q15_t)0x146e, (q15_t)0x81a5, + (q15_t)0x1455, (q15_t)0x81a1, (q15_t)0x143c, (q15_t)0x819d, (q15_t)0x1423, (q15_t)0x8199, (q15_t)0x140b, (q15_t)0x8195, + (q15_t)0x13f2, (q15_t)0x8191, (q15_t)0x13d9, (q15_t)0x818d, (q15_t)0x13c0, (q15_t)0x8189, (q15_t)0x13a7, (q15_t)0x8185, + (q15_t)0x138e, (q15_t)0x8181, (q15_t)0x1376, (q15_t)0x817d, (q15_t)0x135d, (q15_t)0x817a, (q15_t)0x1344, (q15_t)0x8176, + (q15_t)0x132b, (q15_t)0x8172, (q15_t)0x1312, (q15_t)0x816e, (q15_t)0x12f9, (q15_t)0x816b, (q15_t)0x12e0, (q15_t)0x8167, + (q15_t)0x12c8, (q15_t)0x8163, (q15_t)0x12af, (q15_t)0x815f, (q15_t)0x1296, (q15_t)0x815c, (q15_t)0x127d, (q15_t)0x8158, + (q15_t)0x1264, (q15_t)0x8155, (q15_t)0x124b, (q15_t)0x8151, (q15_t)0x1232, (q15_t)0x814d, (q15_t)0x1219, (q15_t)0x814a, + (q15_t)0x1201, (q15_t)0x8146, (q15_t)0x11e8, (q15_t)0x8143, (q15_t)0x11cf, (q15_t)0x813f, (q15_t)0x11b6, (q15_t)0x813c, + (q15_t)0x119d, (q15_t)0x8138, (q15_t)0x1184, (q15_t)0x8135, (q15_t)0x116b, (q15_t)0x8131, (q15_t)0x1152, (q15_t)0x812e, + (q15_t)0x1139, (q15_t)0x812b, (q15_t)0x1121, (q15_t)0x8127, (q15_t)0x1108, (q15_t)0x8124, (q15_t)0x10ef, (q15_t)0x8121, + (q15_t)0x10d6, (q15_t)0x811d, (q15_t)0x10bd, (q15_t)0x811a, (q15_t)0x10a4, (q15_t)0x8117, (q15_t)0x108b, (q15_t)0x8113, + (q15_t)0x1072, (q15_t)0x8110, (q15_t)0x1059, (q15_t)0x810d, (q15_t)0x1040, (q15_t)0x810a, (q15_t)0x1027, (q15_t)0x8107, + (q15_t)0x100e, (q15_t)0x8103, (q15_t)0xff5, (q15_t)0x8100, (q15_t)0xfdd, (q15_t)0x80fd, (q15_t)0xfc4, (q15_t)0x80fa, + (q15_t)0xfab, (q15_t)0x80f7, (q15_t)0xf92, (q15_t)0x80f4, (q15_t)0xf79, (q15_t)0x80f1, (q15_t)0xf60, (q15_t)0x80ee, + (q15_t)0xf47, (q15_t)0x80eb, (q15_t)0xf2e, (q15_t)0x80e8, (q15_t)0xf15, (q15_t)0x80e5, (q15_t)0xefc, (q15_t)0x80e2, + (q15_t)0xee3, (q15_t)0x80df, (q15_t)0xeca, (q15_t)0x80dc, (q15_t)0xeb1, (q15_t)0x80d9, (q15_t)0xe98, (q15_t)0x80d6, + (q15_t)0xe7f, (q15_t)0x80d3, (q15_t)0xe66, (q15_t)0x80d1, (q15_t)0xe4d, (q15_t)0x80ce, (q15_t)0xe34, (q15_t)0x80cb, + (q15_t)0xe1b, (q15_t)0x80c8, (q15_t)0xe02, (q15_t)0x80c5, (q15_t)0xde9, (q15_t)0x80c3, (q15_t)0xdd0, (q15_t)0x80c0, + (q15_t)0xdb7, (q15_t)0x80bd, (q15_t)0xd9e, (q15_t)0x80bb, (q15_t)0xd85, (q15_t)0x80b8, (q15_t)0xd6c, (q15_t)0x80b5, + (q15_t)0xd53, (q15_t)0x80b3, (q15_t)0xd3a, (q15_t)0x80b0, (q15_t)0xd21, (q15_t)0x80ad, (q15_t)0xd08, (q15_t)0x80ab, + (q15_t)0xcef, (q15_t)0x80a8, (q15_t)0xcd6, (q15_t)0x80a6, (q15_t)0xcbd, (q15_t)0x80a3, (q15_t)0xca4, (q15_t)0x80a1, + (q15_t)0xc8b, (q15_t)0x809e, (q15_t)0xc72, (q15_t)0x809c, (q15_t)0xc59, (q15_t)0x8099, (q15_t)0xc40, (q15_t)0x8097, + (q15_t)0xc27, (q15_t)0x8095, (q15_t)0xc0e, (q15_t)0x8092, (q15_t)0xbf5, (q15_t)0x8090, (q15_t)0xbdc, (q15_t)0x808e, + (q15_t)0xbc3, (q15_t)0x808b, (q15_t)0xbaa, (q15_t)0x8089, (q15_t)0xb91, (q15_t)0x8087, (q15_t)0xb78, (q15_t)0x8084, + (q15_t)0xb5f, (q15_t)0x8082, (q15_t)0xb46, (q15_t)0x8080, (q15_t)0xb2d, (q15_t)0x807e, (q15_t)0xb14, (q15_t)0x807b, + (q15_t)0xafb, (q15_t)0x8079, (q15_t)0xae2, (q15_t)0x8077, (q15_t)0xac9, (q15_t)0x8075, (q15_t)0xab0, (q15_t)0x8073, + (q15_t)0xa97, (q15_t)0x8071, (q15_t)0xa7e, (q15_t)0x806f, (q15_t)0xa65, (q15_t)0x806d, (q15_t)0xa4c, (q15_t)0x806b, + (q15_t)0xa33, (q15_t)0x8069, (q15_t)0xa19, (q15_t)0x8067, (q15_t)0xa00, (q15_t)0x8065, (q15_t)0x9e7, (q15_t)0x8063, + (q15_t)0x9ce, (q15_t)0x8061, (q15_t)0x9b5, (q15_t)0x805f, (q15_t)0x99c, (q15_t)0x805d, (q15_t)0x983, (q15_t)0x805b, + (q15_t)0x96a, (q15_t)0x8059, (q15_t)0x951, (q15_t)0x8057, (q15_t)0x938, (q15_t)0x8056, (q15_t)0x91f, (q15_t)0x8054, + (q15_t)0x906, (q15_t)0x8052, (q15_t)0x8ed, (q15_t)0x8050, (q15_t)0x8d4, (q15_t)0x804f, (q15_t)0x8bb, (q15_t)0x804d, + (q15_t)0x8a2, (q15_t)0x804b, (q15_t)0x888, (q15_t)0x8049, (q15_t)0x86f, (q15_t)0x8048, (q15_t)0x856, (q15_t)0x8046, + (q15_t)0x83d, (q15_t)0x8044, (q15_t)0x824, (q15_t)0x8043, (q15_t)0x80b, (q15_t)0x8041, (q15_t)0x7f2, (q15_t)0x8040, + (q15_t)0x7d9, (q15_t)0x803e, (q15_t)0x7c0, (q15_t)0x803d, (q15_t)0x7a7, (q15_t)0x803b, (q15_t)0x78e, (q15_t)0x803a, + (q15_t)0x775, (q15_t)0x8038, (q15_t)0x75b, (q15_t)0x8037, (q15_t)0x742, (q15_t)0x8035, (q15_t)0x729, (q15_t)0x8034, + (q15_t)0x710, (q15_t)0x8032, (q15_t)0x6f7, (q15_t)0x8031, (q15_t)0x6de, (q15_t)0x8030, (q15_t)0x6c5, (q15_t)0x802e, + (q15_t)0x6ac, (q15_t)0x802d, (q15_t)0x693, (q15_t)0x802c, (q15_t)0x67a, (q15_t)0x802a, (q15_t)0x660, (q15_t)0x8029, + (q15_t)0x647, (q15_t)0x8028, (q15_t)0x62e, (q15_t)0x8027, (q15_t)0x615, (q15_t)0x8026, (q15_t)0x5fc, (q15_t)0x8024, + (q15_t)0x5e3, (q15_t)0x8023, (q15_t)0x5ca, (q15_t)0x8022, (q15_t)0x5b1, (q15_t)0x8021, (q15_t)0x598, (q15_t)0x8020, + (q15_t)0x57f, (q15_t)0x801f, (q15_t)0x565, (q15_t)0x801e, (q15_t)0x54c, (q15_t)0x801d, (q15_t)0x533, (q15_t)0x801c, + (q15_t)0x51a, (q15_t)0x801b, (q15_t)0x501, (q15_t)0x801a, (q15_t)0x4e8, (q15_t)0x8019, (q15_t)0x4cf, (q15_t)0x8018, + (q15_t)0x4b6, (q15_t)0x8017, (q15_t)0x49c, (q15_t)0x8016, (q15_t)0x483, (q15_t)0x8015, (q15_t)0x46a, (q15_t)0x8014, + (q15_t)0x451, (q15_t)0x8013, (q15_t)0x438, (q15_t)0x8012, (q15_t)0x41f, (q15_t)0x8012, (q15_t)0x406, (q15_t)0x8011, + (q15_t)0x3ed, (q15_t)0x8010, (q15_t)0x3d4, (q15_t)0x800f, (q15_t)0x3ba, (q15_t)0x800e, (q15_t)0x3a1, (q15_t)0x800e, + (q15_t)0x388, (q15_t)0x800d, (q15_t)0x36f, (q15_t)0x800c, (q15_t)0x356, (q15_t)0x800c, (q15_t)0x33d, (q15_t)0x800b, + (q15_t)0x324, (q15_t)0x800a, (q15_t)0x30b, (q15_t)0x800a, (q15_t)0x2f1, (q15_t)0x8009, (q15_t)0x2d8, (q15_t)0x8009, + (q15_t)0x2bf, (q15_t)0x8008, (q15_t)0x2a6, (q15_t)0x8008, (q15_t)0x28d, (q15_t)0x8007, (q15_t)0x274, (q15_t)0x8007, + (q15_t)0x25b, (q15_t)0x8006, (q15_t)0x242, (q15_t)0x8006, (q15_t)0x228, (q15_t)0x8005, (q15_t)0x20f, (q15_t)0x8005, + (q15_t)0x1f6, (q15_t)0x8004, (q15_t)0x1dd, (q15_t)0x8004, (q15_t)0x1c4, (q15_t)0x8004, (q15_t)0x1ab, (q15_t)0x8003, + (q15_t)0x192, (q15_t)0x8003, (q15_t)0x178, (q15_t)0x8003, (q15_t)0x15f, (q15_t)0x8002, (q15_t)0x146, (q15_t)0x8002, + (q15_t)0x12d, (q15_t)0x8002, (q15_t)0x114, (q15_t)0x8002, (q15_t)0xfb, (q15_t)0x8001, (q15_t)0xe2, (q15_t)0x8001, + (q15_t)0xc9, (q15_t)0x8001, (q15_t)0xaf, (q15_t)0x8001, (q15_t)0x96, (q15_t)0x8001, (q15_t)0x7d, (q15_t)0x8001, + (q15_t)0x64, (q15_t)0x8001, (q15_t)0x4b, (q15_t)0x8001, (q15_t)0x32, (q15_t)0x8001, (q15_t)0x19, (q15_t)0x8001 +}; + +static const q15_t ALIGN4 WeightsQ15_8192[16384] = { + (q15_t)0x7fff, (q15_t)0x0, (q15_t)0x7fff, (q15_t)0xfffa, (q15_t)0x7fff, (q15_t)0xfff4, (q15_t)0x7fff, (q15_t)0xffee, + (q15_t)0x7fff, (q15_t)0xffe7, (q15_t)0x7fff, (q15_t)0xffe1, (q15_t)0x7fff, (q15_t)0xffdb, (q15_t)0x7fff, (q15_t)0xffd5, + (q15_t)0x7fff, (q15_t)0xffce, (q15_t)0x7fff, (q15_t)0xffc8, (q15_t)0x7fff, (q15_t)0xffc2, (q15_t)0x7fff, (q15_t)0xffbb, + (q15_t)0x7fff, (q15_t)0xffb5, (q15_t)0x7fff, (q15_t)0xffaf, (q15_t)0x7fff, (q15_t)0xffa9, (q15_t)0x7fff, (q15_t)0xffa2, + (q15_t)0x7fff, (q15_t)0xff9c, (q15_t)0x7fff, (q15_t)0xff96, (q15_t)0x7fff, (q15_t)0xff8f, (q15_t)0x7fff, (q15_t)0xff89, + (q15_t)0x7fff, (q15_t)0xff83, (q15_t)0x7fff, (q15_t)0xff7d, (q15_t)0x7fff, (q15_t)0xff76, (q15_t)0x7fff, (q15_t)0xff70, + (q15_t)0x7fff, (q15_t)0xff6a, (q15_t)0x7fff, (q15_t)0xff63, (q15_t)0x7fff, (q15_t)0xff5d, (q15_t)0x7fff, (q15_t)0xff57, + (q15_t)0x7fff, (q15_t)0xff51, (q15_t)0x7fff, (q15_t)0xff4a, (q15_t)0x7fff, (q15_t)0xff44, (q15_t)0x7fff, (q15_t)0xff3e, + (q15_t)0x7fff, (q15_t)0xff37, (q15_t)0x7fff, (q15_t)0xff31, (q15_t)0x7fff, (q15_t)0xff2b, (q15_t)0x7fff, (q15_t)0xff25, + (q15_t)0x7fff, (q15_t)0xff1e, (q15_t)0x7fff, (q15_t)0xff18, (q15_t)0x7fff, (q15_t)0xff12, (q15_t)0x7fff, (q15_t)0xff0b, + (q15_t)0x7fff, (q15_t)0xff05, (q15_t)0x7ffe, (q15_t)0xfeff, (q15_t)0x7ffe, (q15_t)0xfef9, (q15_t)0x7ffe, (q15_t)0xfef2, + (q15_t)0x7ffe, (q15_t)0xfeec, (q15_t)0x7ffe, (q15_t)0xfee6, (q15_t)0x7ffe, (q15_t)0xfedf, (q15_t)0x7ffe, (q15_t)0xfed9, + (q15_t)0x7ffe, (q15_t)0xfed3, (q15_t)0x7ffe, (q15_t)0xfecd, (q15_t)0x7ffe, (q15_t)0xfec6, (q15_t)0x7ffe, (q15_t)0xfec0, + (q15_t)0x7ffe, (q15_t)0xfeba, (q15_t)0x7ffe, (q15_t)0xfeb3, (q15_t)0x7ffe, (q15_t)0xfead, (q15_t)0x7ffe, (q15_t)0xfea7, + (q15_t)0x7ffe, (q15_t)0xfea1, (q15_t)0x7ffe, (q15_t)0xfe9a, (q15_t)0x7ffd, (q15_t)0xfe94, (q15_t)0x7ffd, (q15_t)0xfe8e, + (q15_t)0x7ffd, (q15_t)0xfe88, (q15_t)0x7ffd, (q15_t)0xfe81, (q15_t)0x7ffd, (q15_t)0xfe7b, (q15_t)0x7ffd, (q15_t)0xfe75, + (q15_t)0x7ffd, (q15_t)0xfe6e, (q15_t)0x7ffd, (q15_t)0xfe68, (q15_t)0x7ffd, (q15_t)0xfe62, (q15_t)0x7ffd, (q15_t)0xfe5c, + (q15_t)0x7ffd, (q15_t)0xfe55, (q15_t)0x7ffd, (q15_t)0xfe4f, (q15_t)0x7ffd, (q15_t)0xfe49, (q15_t)0x7ffc, (q15_t)0xfe42, + (q15_t)0x7ffc, (q15_t)0xfe3c, (q15_t)0x7ffc, (q15_t)0xfe36, (q15_t)0x7ffc, (q15_t)0xfe30, (q15_t)0x7ffc, (q15_t)0xfe29, + (q15_t)0x7ffc, (q15_t)0xfe23, (q15_t)0x7ffc, (q15_t)0xfe1d, (q15_t)0x7ffc, (q15_t)0xfe16, (q15_t)0x7ffc, (q15_t)0xfe10, + (q15_t)0x7ffc, (q15_t)0xfe0a, (q15_t)0x7ffc, (q15_t)0xfe04, (q15_t)0x7ffb, (q15_t)0xfdfd, (q15_t)0x7ffb, (q15_t)0xfdf7, + (q15_t)0x7ffb, (q15_t)0xfdf1, (q15_t)0x7ffb, (q15_t)0xfdea, (q15_t)0x7ffb, (q15_t)0xfde4, (q15_t)0x7ffb, (q15_t)0xfdde, + (q15_t)0x7ffb, (q15_t)0xfdd8, (q15_t)0x7ffb, (q15_t)0xfdd1, (q15_t)0x7ffb, (q15_t)0xfdcb, (q15_t)0x7ffb, (q15_t)0xfdc5, + (q15_t)0x7ffa, (q15_t)0xfdbe, (q15_t)0x7ffa, (q15_t)0xfdb8, (q15_t)0x7ffa, (q15_t)0xfdb2, (q15_t)0x7ffa, (q15_t)0xfdac, + (q15_t)0x7ffa, (q15_t)0xfda5, (q15_t)0x7ffa, (q15_t)0xfd9f, (q15_t)0x7ffa, (q15_t)0xfd99, (q15_t)0x7ffa, (q15_t)0xfd93, + (q15_t)0x7ff9, (q15_t)0xfd8c, (q15_t)0x7ff9, (q15_t)0xfd86, (q15_t)0x7ff9, (q15_t)0xfd80, (q15_t)0x7ff9, (q15_t)0xfd79, + (q15_t)0x7ff9, (q15_t)0xfd73, (q15_t)0x7ff9, (q15_t)0xfd6d, (q15_t)0x7ff9, (q15_t)0xfd67, (q15_t)0x7ff9, (q15_t)0xfd60, + (q15_t)0x7ff8, (q15_t)0xfd5a, (q15_t)0x7ff8, (q15_t)0xfd54, (q15_t)0x7ff8, (q15_t)0xfd4d, (q15_t)0x7ff8, (q15_t)0xfd47, + (q15_t)0x7ff8, (q15_t)0xfd41, (q15_t)0x7ff8, (q15_t)0xfd3b, (q15_t)0x7ff8, (q15_t)0xfd34, (q15_t)0x7ff8, (q15_t)0xfd2e, + (q15_t)0x7ff7, (q15_t)0xfd28, (q15_t)0x7ff7, (q15_t)0xfd21, (q15_t)0x7ff7, (q15_t)0xfd1b, (q15_t)0x7ff7, (q15_t)0xfd15, + (q15_t)0x7ff7, (q15_t)0xfd0f, (q15_t)0x7ff7, (q15_t)0xfd08, (q15_t)0x7ff7, (q15_t)0xfd02, (q15_t)0x7ff6, (q15_t)0xfcfc, + (q15_t)0x7ff6, (q15_t)0xfcf5, (q15_t)0x7ff6, (q15_t)0xfcef, (q15_t)0x7ff6, (q15_t)0xfce9, (q15_t)0x7ff6, (q15_t)0xfce3, + (q15_t)0x7ff6, (q15_t)0xfcdc, (q15_t)0x7ff5, (q15_t)0xfcd6, (q15_t)0x7ff5, (q15_t)0xfcd0, (q15_t)0x7ff5, (q15_t)0xfcc9, + (q15_t)0x7ff5, (q15_t)0xfcc3, (q15_t)0x7ff5, (q15_t)0xfcbd, (q15_t)0x7ff5, (q15_t)0xfcb7, (q15_t)0x7ff5, (q15_t)0xfcb0, + (q15_t)0x7ff4, (q15_t)0xfcaa, (q15_t)0x7ff4, (q15_t)0xfca4, (q15_t)0x7ff4, (q15_t)0xfc9e, (q15_t)0x7ff4, (q15_t)0xfc97, + (q15_t)0x7ff4, (q15_t)0xfc91, (q15_t)0x7ff4, (q15_t)0xfc8b, (q15_t)0x7ff3, (q15_t)0xfc84, (q15_t)0x7ff3, (q15_t)0xfc7e, + (q15_t)0x7ff3, (q15_t)0xfc78, (q15_t)0x7ff3, (q15_t)0xfc72, (q15_t)0x7ff3, (q15_t)0xfc6b, (q15_t)0x7ff2, (q15_t)0xfc65, + (q15_t)0x7ff2, (q15_t)0xfc5f, (q15_t)0x7ff2, (q15_t)0xfc58, (q15_t)0x7ff2, (q15_t)0xfc52, (q15_t)0x7ff2, (q15_t)0xfc4c, + (q15_t)0x7ff2, (q15_t)0xfc46, (q15_t)0x7ff1, (q15_t)0xfc3f, (q15_t)0x7ff1, (q15_t)0xfc39, (q15_t)0x7ff1, (q15_t)0xfc33, + (q15_t)0x7ff1, (q15_t)0xfc2c, (q15_t)0x7ff1, (q15_t)0xfc26, (q15_t)0x7ff0, (q15_t)0xfc20, (q15_t)0x7ff0, (q15_t)0xfc1a, + (q15_t)0x7ff0, (q15_t)0xfc13, (q15_t)0x7ff0, (q15_t)0xfc0d, (q15_t)0x7ff0, (q15_t)0xfc07, (q15_t)0x7fef, (q15_t)0xfc01, + (q15_t)0x7fef, (q15_t)0xfbfa, (q15_t)0x7fef, (q15_t)0xfbf4, (q15_t)0x7fef, (q15_t)0xfbee, (q15_t)0x7fef, (q15_t)0xfbe7, + (q15_t)0x7fee, (q15_t)0xfbe1, (q15_t)0x7fee, (q15_t)0xfbdb, (q15_t)0x7fee, (q15_t)0xfbd5, (q15_t)0x7fee, (q15_t)0xfbce, + (q15_t)0x7fee, (q15_t)0xfbc8, (q15_t)0x7fed, (q15_t)0xfbc2, (q15_t)0x7fed, (q15_t)0xfbbb, (q15_t)0x7fed, (q15_t)0xfbb5, + (q15_t)0x7fed, (q15_t)0xfbaf, (q15_t)0x7fed, (q15_t)0xfba9, (q15_t)0x7fec, (q15_t)0xfba2, (q15_t)0x7fec, (q15_t)0xfb9c, + (q15_t)0x7fec, (q15_t)0xfb96, (q15_t)0x7fec, (q15_t)0xfb8f, (q15_t)0x7fec, (q15_t)0xfb89, (q15_t)0x7feb, (q15_t)0xfb83, + (q15_t)0x7feb, (q15_t)0xfb7d, (q15_t)0x7feb, (q15_t)0xfb76, (q15_t)0x7feb, (q15_t)0xfb70, (q15_t)0x7fea, (q15_t)0xfb6a, + (q15_t)0x7fea, (q15_t)0xfb64, (q15_t)0x7fea, (q15_t)0xfb5d, (q15_t)0x7fea, (q15_t)0xfb57, (q15_t)0x7fea, (q15_t)0xfb51, + (q15_t)0x7fe9, (q15_t)0xfb4a, (q15_t)0x7fe9, (q15_t)0xfb44, (q15_t)0x7fe9, (q15_t)0xfb3e, (q15_t)0x7fe9, (q15_t)0xfb38, + (q15_t)0x7fe8, (q15_t)0xfb31, (q15_t)0x7fe8, (q15_t)0xfb2b, (q15_t)0x7fe8, (q15_t)0xfb25, (q15_t)0x7fe8, (q15_t)0xfb1e, + (q15_t)0x7fe7, (q15_t)0xfb18, (q15_t)0x7fe7, (q15_t)0xfb12, (q15_t)0x7fe7, (q15_t)0xfb0c, (q15_t)0x7fe7, (q15_t)0xfb05, + (q15_t)0x7fe6, (q15_t)0xfaff, (q15_t)0x7fe6, (q15_t)0xfaf9, (q15_t)0x7fe6, (q15_t)0xfaf3, (q15_t)0x7fe6, (q15_t)0xfaec, + (q15_t)0x7fe5, (q15_t)0xfae6, (q15_t)0x7fe5, (q15_t)0xfae0, (q15_t)0x7fe5, (q15_t)0xfad9, (q15_t)0x7fe5, (q15_t)0xfad3, + (q15_t)0x7fe4, (q15_t)0xfacd, (q15_t)0x7fe4, (q15_t)0xfac7, (q15_t)0x7fe4, (q15_t)0xfac0, (q15_t)0x7fe4, (q15_t)0xfaba, + (q15_t)0x7fe3, (q15_t)0xfab4, (q15_t)0x7fe3, (q15_t)0xfaad, (q15_t)0x7fe3, (q15_t)0xfaa7, (q15_t)0x7fe3, (q15_t)0xfaa1, + (q15_t)0x7fe2, (q15_t)0xfa9b, (q15_t)0x7fe2, (q15_t)0xfa94, (q15_t)0x7fe2, (q15_t)0xfa8e, (q15_t)0x7fe2, (q15_t)0xfa88, + (q15_t)0x7fe1, (q15_t)0xfa81, (q15_t)0x7fe1, (q15_t)0xfa7b, (q15_t)0x7fe1, (q15_t)0xfa75, (q15_t)0x7fe0, (q15_t)0xfa6f, + (q15_t)0x7fe0, (q15_t)0xfa68, (q15_t)0x7fe0, (q15_t)0xfa62, (q15_t)0x7fe0, (q15_t)0xfa5c, (q15_t)0x7fdf, (q15_t)0xfa56, + (q15_t)0x7fdf, (q15_t)0xfa4f, (q15_t)0x7fdf, (q15_t)0xfa49, (q15_t)0x7fdf, (q15_t)0xfa43, (q15_t)0x7fde, (q15_t)0xfa3c, + (q15_t)0x7fde, (q15_t)0xfa36, (q15_t)0x7fde, (q15_t)0xfa30, (q15_t)0x7fdd, (q15_t)0xfa2a, (q15_t)0x7fdd, (q15_t)0xfa23, + (q15_t)0x7fdd, (q15_t)0xfa1d, (q15_t)0x7fdd, (q15_t)0xfa17, (q15_t)0x7fdc, (q15_t)0xfa11, (q15_t)0x7fdc, (q15_t)0xfa0a, + (q15_t)0x7fdc, (q15_t)0xfa04, (q15_t)0x7fdb, (q15_t)0xf9fe, (q15_t)0x7fdb, (q15_t)0xf9f7, (q15_t)0x7fdb, (q15_t)0xf9f1, + (q15_t)0x7fda, (q15_t)0xf9eb, (q15_t)0x7fda, (q15_t)0xf9e5, (q15_t)0x7fda, (q15_t)0xf9de, (q15_t)0x7fda, (q15_t)0xf9d8, + (q15_t)0x7fd9, (q15_t)0xf9d2, (q15_t)0x7fd9, (q15_t)0xf9cb, (q15_t)0x7fd9, (q15_t)0xf9c5, (q15_t)0x7fd8, (q15_t)0xf9bf, + (q15_t)0x7fd8, (q15_t)0xf9b9, (q15_t)0x7fd8, (q15_t)0xf9b2, (q15_t)0x7fd7, (q15_t)0xf9ac, (q15_t)0x7fd7, (q15_t)0xf9a6, + (q15_t)0x7fd7, (q15_t)0xf9a0, (q15_t)0x7fd6, (q15_t)0xf999, (q15_t)0x7fd6, (q15_t)0xf993, (q15_t)0x7fd6, (q15_t)0xf98d, + (q15_t)0x7fd6, (q15_t)0xf986, (q15_t)0x7fd5, (q15_t)0xf980, (q15_t)0x7fd5, (q15_t)0xf97a, (q15_t)0x7fd5, (q15_t)0xf974, + (q15_t)0x7fd4, (q15_t)0xf96d, (q15_t)0x7fd4, (q15_t)0xf967, (q15_t)0x7fd4, (q15_t)0xf961, (q15_t)0x7fd3, (q15_t)0xf95b, + (q15_t)0x7fd3, (q15_t)0xf954, (q15_t)0x7fd3, (q15_t)0xf94e, (q15_t)0x7fd2, (q15_t)0xf948, (q15_t)0x7fd2, (q15_t)0xf941, + (q15_t)0x7fd2, (q15_t)0xf93b, (q15_t)0x7fd1, (q15_t)0xf935, (q15_t)0x7fd1, (q15_t)0xf92f, (q15_t)0x7fd1, (q15_t)0xf928, + (q15_t)0x7fd0, (q15_t)0xf922, (q15_t)0x7fd0, (q15_t)0xf91c, (q15_t)0x7fd0, (q15_t)0xf916, (q15_t)0x7fcf, (q15_t)0xf90f, + (q15_t)0x7fcf, (q15_t)0xf909, (q15_t)0x7fcf, (q15_t)0xf903, (q15_t)0x7fce, (q15_t)0xf8fc, (q15_t)0x7fce, (q15_t)0xf8f6, + (q15_t)0x7fce, (q15_t)0xf8f0, (q15_t)0x7fcd, (q15_t)0xf8ea, (q15_t)0x7fcd, (q15_t)0xf8e3, (q15_t)0x7fcd, (q15_t)0xf8dd, + (q15_t)0x7fcc, (q15_t)0xf8d7, (q15_t)0x7fcc, (q15_t)0xf8d0, (q15_t)0x7fcb, (q15_t)0xf8ca, (q15_t)0x7fcb, (q15_t)0xf8c4, + (q15_t)0x7fcb, (q15_t)0xf8be, (q15_t)0x7fca, (q15_t)0xf8b7, (q15_t)0x7fca, (q15_t)0xf8b1, (q15_t)0x7fca, (q15_t)0xf8ab, + (q15_t)0x7fc9, (q15_t)0xf8a5, (q15_t)0x7fc9, (q15_t)0xf89e, (q15_t)0x7fc9, (q15_t)0xf898, (q15_t)0x7fc8, (q15_t)0xf892, + (q15_t)0x7fc8, (q15_t)0xf88b, (q15_t)0x7fc7, (q15_t)0xf885, (q15_t)0x7fc7, (q15_t)0xf87f, (q15_t)0x7fc7, (q15_t)0xf879, + (q15_t)0x7fc6, (q15_t)0xf872, (q15_t)0x7fc6, (q15_t)0xf86c, (q15_t)0x7fc6, (q15_t)0xf866, (q15_t)0x7fc5, (q15_t)0xf860, + (q15_t)0x7fc5, (q15_t)0xf859, (q15_t)0x7fc5, (q15_t)0xf853, (q15_t)0x7fc4, (q15_t)0xf84d, (q15_t)0x7fc4, (q15_t)0xf846, + (q15_t)0x7fc3, (q15_t)0xf840, (q15_t)0x7fc3, (q15_t)0xf83a, (q15_t)0x7fc3, (q15_t)0xf834, (q15_t)0x7fc2, (q15_t)0xf82d, + (q15_t)0x7fc2, (q15_t)0xf827, (q15_t)0x7fc1, (q15_t)0xf821, (q15_t)0x7fc1, (q15_t)0xf81b, (q15_t)0x7fc1, (q15_t)0xf814, + (q15_t)0x7fc0, (q15_t)0xf80e, (q15_t)0x7fc0, (q15_t)0xf808, (q15_t)0x7fc0, (q15_t)0xf802, (q15_t)0x7fbf, (q15_t)0xf7fb, + (q15_t)0x7fbf, (q15_t)0xf7f5, (q15_t)0x7fbe, (q15_t)0xf7ef, (q15_t)0x7fbe, (q15_t)0xf7e8, (q15_t)0x7fbe, (q15_t)0xf7e2, + (q15_t)0x7fbd, (q15_t)0xf7dc, (q15_t)0x7fbd, (q15_t)0xf7d6, (q15_t)0x7fbc, (q15_t)0xf7cf, (q15_t)0x7fbc, (q15_t)0xf7c9, + (q15_t)0x7fbc, (q15_t)0xf7c3, (q15_t)0x7fbb, (q15_t)0xf7bd, (q15_t)0x7fbb, (q15_t)0xf7b6, (q15_t)0x7fba, (q15_t)0xf7b0, + (q15_t)0x7fba, (q15_t)0xf7aa, (q15_t)0x7fb9, (q15_t)0xf7a3, (q15_t)0x7fb9, (q15_t)0xf79d, (q15_t)0x7fb9, (q15_t)0xf797, + (q15_t)0x7fb8, (q15_t)0xf791, (q15_t)0x7fb8, (q15_t)0xf78a, (q15_t)0x7fb7, (q15_t)0xf784, (q15_t)0x7fb7, (q15_t)0xf77e, + (q15_t)0x7fb7, (q15_t)0xf778, (q15_t)0x7fb6, (q15_t)0xf771, (q15_t)0x7fb6, (q15_t)0xf76b, (q15_t)0x7fb5, (q15_t)0xf765, + (q15_t)0x7fb5, (q15_t)0xf75e, (q15_t)0x7fb4, (q15_t)0xf758, (q15_t)0x7fb4, (q15_t)0xf752, (q15_t)0x7fb4, (q15_t)0xf74c, + (q15_t)0x7fb3, (q15_t)0xf745, (q15_t)0x7fb3, (q15_t)0xf73f, (q15_t)0x7fb2, (q15_t)0xf739, (q15_t)0x7fb2, (q15_t)0xf733, + (q15_t)0x7fb1, (q15_t)0xf72c, (q15_t)0x7fb1, (q15_t)0xf726, (q15_t)0x7fb1, (q15_t)0xf720, (q15_t)0x7fb0, (q15_t)0xf71a, + (q15_t)0x7fb0, (q15_t)0xf713, (q15_t)0x7faf, (q15_t)0xf70d, (q15_t)0x7faf, (q15_t)0xf707, (q15_t)0x7fae, (q15_t)0xf700, + (q15_t)0x7fae, (q15_t)0xf6fa, (q15_t)0x7fae, (q15_t)0xf6f4, (q15_t)0x7fad, (q15_t)0xf6ee, (q15_t)0x7fad, (q15_t)0xf6e7, + (q15_t)0x7fac, (q15_t)0xf6e1, (q15_t)0x7fac, (q15_t)0xf6db, (q15_t)0x7fab, (q15_t)0xf6d5, (q15_t)0x7fab, (q15_t)0xf6ce, + (q15_t)0x7faa, (q15_t)0xf6c8, (q15_t)0x7faa, (q15_t)0xf6c2, (q15_t)0x7fa9, (q15_t)0xf6bc, (q15_t)0x7fa9, (q15_t)0xf6b5, + (q15_t)0x7fa9, (q15_t)0xf6af, (q15_t)0x7fa8, (q15_t)0xf6a9, (q15_t)0x7fa8, (q15_t)0xf6a2, (q15_t)0x7fa7, (q15_t)0xf69c, + (q15_t)0x7fa7, (q15_t)0xf696, (q15_t)0x7fa6, (q15_t)0xf690, (q15_t)0x7fa6, (q15_t)0xf689, (q15_t)0x7fa5, (q15_t)0xf683, + (q15_t)0x7fa5, (q15_t)0xf67d, (q15_t)0x7fa4, (q15_t)0xf677, (q15_t)0x7fa4, (q15_t)0xf670, (q15_t)0x7fa3, (q15_t)0xf66a, + (q15_t)0x7fa3, (q15_t)0xf664, (q15_t)0x7fa3, (q15_t)0xf65e, (q15_t)0x7fa2, (q15_t)0xf657, (q15_t)0x7fa2, (q15_t)0xf651, + (q15_t)0x7fa1, (q15_t)0xf64b, (q15_t)0x7fa1, (q15_t)0xf644, (q15_t)0x7fa0, (q15_t)0xf63e, (q15_t)0x7fa0, (q15_t)0xf638, + (q15_t)0x7f9f, (q15_t)0xf632, (q15_t)0x7f9f, (q15_t)0xf62b, (q15_t)0x7f9e, (q15_t)0xf625, (q15_t)0x7f9e, (q15_t)0xf61f, + (q15_t)0x7f9d, (q15_t)0xf619, (q15_t)0x7f9d, (q15_t)0xf612, (q15_t)0x7f9c, (q15_t)0xf60c, (q15_t)0x7f9c, (q15_t)0xf606, + (q15_t)0x7f9b, (q15_t)0xf600, (q15_t)0x7f9b, (q15_t)0xf5f9, (q15_t)0x7f9a, (q15_t)0xf5f3, (q15_t)0x7f9a, (q15_t)0xf5ed, + (q15_t)0x7f99, (q15_t)0xf5e7, (q15_t)0x7f99, (q15_t)0xf5e0, (q15_t)0x7f98, (q15_t)0xf5da, (q15_t)0x7f98, (q15_t)0xf5d4, + (q15_t)0x7f97, (q15_t)0xf5cd, (q15_t)0x7f97, (q15_t)0xf5c7, (q15_t)0x7f96, (q15_t)0xf5c1, (q15_t)0x7f96, (q15_t)0xf5bb, + (q15_t)0x7f95, (q15_t)0xf5b4, (q15_t)0x7f95, (q15_t)0xf5ae, (q15_t)0x7f94, (q15_t)0xf5a8, (q15_t)0x7f94, (q15_t)0xf5a2, + (q15_t)0x7f93, (q15_t)0xf59b, (q15_t)0x7f93, (q15_t)0xf595, (q15_t)0x7f92, (q15_t)0xf58f, (q15_t)0x7f92, (q15_t)0xf589, + (q15_t)0x7f91, (q15_t)0xf582, (q15_t)0x7f91, (q15_t)0xf57c, (q15_t)0x7f90, (q15_t)0xf576, (q15_t)0x7f90, (q15_t)0xf570, + (q15_t)0x7f8f, (q15_t)0xf569, (q15_t)0x7f8f, (q15_t)0xf563, (q15_t)0x7f8e, (q15_t)0xf55d, (q15_t)0x7f8e, (q15_t)0xf556, + (q15_t)0x7f8d, (q15_t)0xf550, (q15_t)0x7f8d, (q15_t)0xf54a, (q15_t)0x7f8c, (q15_t)0xf544, (q15_t)0x7f8b, (q15_t)0xf53d, + (q15_t)0x7f8b, (q15_t)0xf537, (q15_t)0x7f8a, (q15_t)0xf531, (q15_t)0x7f8a, (q15_t)0xf52b, (q15_t)0x7f89, (q15_t)0xf524, + (q15_t)0x7f89, (q15_t)0xf51e, (q15_t)0x7f88, (q15_t)0xf518, (q15_t)0x7f88, (q15_t)0xf512, (q15_t)0x7f87, (q15_t)0xf50b, + (q15_t)0x7f87, (q15_t)0xf505, (q15_t)0x7f86, (q15_t)0xf4ff, (q15_t)0x7f86, (q15_t)0xf4f9, (q15_t)0x7f85, (q15_t)0xf4f2, + (q15_t)0x7f85, (q15_t)0xf4ec, (q15_t)0x7f84, (q15_t)0xf4e6, (q15_t)0x7f83, (q15_t)0xf4e0, (q15_t)0x7f83, (q15_t)0xf4d9, + (q15_t)0x7f82, (q15_t)0xf4d3, (q15_t)0x7f82, (q15_t)0xf4cd, (q15_t)0x7f81, (q15_t)0xf4c6, (q15_t)0x7f81, (q15_t)0xf4c0, + (q15_t)0x7f80, (q15_t)0xf4ba, (q15_t)0x7f80, (q15_t)0xf4b4, (q15_t)0x7f7f, (q15_t)0xf4ad, (q15_t)0x7f7e, (q15_t)0xf4a7, + (q15_t)0x7f7e, (q15_t)0xf4a1, (q15_t)0x7f7d, (q15_t)0xf49b, (q15_t)0x7f7d, (q15_t)0xf494, (q15_t)0x7f7c, (q15_t)0xf48e, + (q15_t)0x7f7c, (q15_t)0xf488, (q15_t)0x7f7b, (q15_t)0xf482, (q15_t)0x7f7b, (q15_t)0xf47b, (q15_t)0x7f7a, (q15_t)0xf475, + (q15_t)0x7f79, (q15_t)0xf46f, (q15_t)0x7f79, (q15_t)0xf469, (q15_t)0x7f78, (q15_t)0xf462, (q15_t)0x7f78, (q15_t)0xf45c, + (q15_t)0x7f77, (q15_t)0xf456, (q15_t)0x7f77, (q15_t)0xf450, (q15_t)0x7f76, (q15_t)0xf449, (q15_t)0x7f75, (q15_t)0xf443, + (q15_t)0x7f75, (q15_t)0xf43d, (q15_t)0x7f74, (q15_t)0xf437, (q15_t)0x7f74, (q15_t)0xf430, (q15_t)0x7f73, (q15_t)0xf42a, + (q15_t)0x7f72, (q15_t)0xf424, (q15_t)0x7f72, (q15_t)0xf41e, (q15_t)0x7f71, (q15_t)0xf417, (q15_t)0x7f71, (q15_t)0xf411, + (q15_t)0x7f70, (q15_t)0xf40b, (q15_t)0x7f70, (q15_t)0xf405, (q15_t)0x7f6f, (q15_t)0xf3fe, (q15_t)0x7f6e, (q15_t)0xf3f8, + (q15_t)0x7f6e, (q15_t)0xf3f2, (q15_t)0x7f6d, (q15_t)0xf3ec, (q15_t)0x7f6d, (q15_t)0xf3e5, (q15_t)0x7f6c, (q15_t)0xf3df, + (q15_t)0x7f6b, (q15_t)0xf3d9, (q15_t)0x7f6b, (q15_t)0xf3d2, (q15_t)0x7f6a, (q15_t)0xf3cc, (q15_t)0x7f6a, (q15_t)0xf3c6, + (q15_t)0x7f69, (q15_t)0xf3c0, (q15_t)0x7f68, (q15_t)0xf3b9, (q15_t)0x7f68, (q15_t)0xf3b3, (q15_t)0x7f67, (q15_t)0xf3ad, + (q15_t)0x7f67, (q15_t)0xf3a7, (q15_t)0x7f66, (q15_t)0xf3a0, (q15_t)0x7f65, (q15_t)0xf39a, (q15_t)0x7f65, (q15_t)0xf394, + (q15_t)0x7f64, (q15_t)0xf38e, (q15_t)0x7f64, (q15_t)0xf387, (q15_t)0x7f63, (q15_t)0xf381, (q15_t)0x7f62, (q15_t)0xf37b, + (q15_t)0x7f62, (q15_t)0xf375, (q15_t)0x7f61, (q15_t)0xf36e, (q15_t)0x7f60, (q15_t)0xf368, (q15_t)0x7f60, (q15_t)0xf362, + (q15_t)0x7f5f, (q15_t)0xf35c, (q15_t)0x7f5f, (q15_t)0xf355, (q15_t)0x7f5e, (q15_t)0xf34f, (q15_t)0x7f5d, (q15_t)0xf349, + (q15_t)0x7f5d, (q15_t)0xf343, (q15_t)0x7f5c, (q15_t)0xf33c, (q15_t)0x7f5b, (q15_t)0xf336, (q15_t)0x7f5b, (q15_t)0xf330, + (q15_t)0x7f5a, (q15_t)0xf32a, (q15_t)0x7f5a, (q15_t)0xf323, (q15_t)0x7f59, (q15_t)0xf31d, (q15_t)0x7f58, (q15_t)0xf317, + (q15_t)0x7f58, (q15_t)0xf311, (q15_t)0x7f57, (q15_t)0xf30a, (q15_t)0x7f56, (q15_t)0xf304, (q15_t)0x7f56, (q15_t)0xf2fe, + (q15_t)0x7f55, (q15_t)0xf2f8, (q15_t)0x7f55, (q15_t)0xf2f1, (q15_t)0x7f54, (q15_t)0xf2eb, (q15_t)0x7f53, (q15_t)0xf2e5, + (q15_t)0x7f53, (q15_t)0xf2df, (q15_t)0x7f52, (q15_t)0xf2d8, (q15_t)0x7f51, (q15_t)0xf2d2, (q15_t)0x7f51, (q15_t)0xf2cc, + (q15_t)0x7f50, (q15_t)0xf2c6, (q15_t)0x7f4f, (q15_t)0xf2bf, (q15_t)0x7f4f, (q15_t)0xf2b9, (q15_t)0x7f4e, (q15_t)0xf2b3, + (q15_t)0x7f4d, (q15_t)0xf2ad, (q15_t)0x7f4d, (q15_t)0xf2a6, (q15_t)0x7f4c, (q15_t)0xf2a0, (q15_t)0x7f4b, (q15_t)0xf29a, + (q15_t)0x7f4b, (q15_t)0xf294, (q15_t)0x7f4a, (q15_t)0xf28d, (q15_t)0x7f49, (q15_t)0xf287, (q15_t)0x7f49, (q15_t)0xf281, + (q15_t)0x7f48, (q15_t)0xf27b, (q15_t)0x7f47, (q15_t)0xf274, (q15_t)0x7f47, (q15_t)0xf26e, (q15_t)0x7f46, (q15_t)0xf268, + (q15_t)0x7f45, (q15_t)0xf262, (q15_t)0x7f45, (q15_t)0xf25b, (q15_t)0x7f44, (q15_t)0xf255, (q15_t)0x7f43, (q15_t)0xf24f, + (q15_t)0x7f43, (q15_t)0xf249, (q15_t)0x7f42, (q15_t)0xf242, (q15_t)0x7f41, (q15_t)0xf23c, (q15_t)0x7f41, (q15_t)0xf236, + (q15_t)0x7f40, (q15_t)0xf230, (q15_t)0x7f3f, (q15_t)0xf229, (q15_t)0x7f3f, (q15_t)0xf223, (q15_t)0x7f3e, (q15_t)0xf21d, + (q15_t)0x7f3d, (q15_t)0xf217, (q15_t)0x7f3d, (q15_t)0xf210, (q15_t)0x7f3c, (q15_t)0xf20a, (q15_t)0x7f3b, (q15_t)0xf204, + (q15_t)0x7f3b, (q15_t)0xf1fe, (q15_t)0x7f3a, (q15_t)0xf1f7, (q15_t)0x7f39, (q15_t)0xf1f1, (q15_t)0x7f39, (q15_t)0xf1eb, + (q15_t)0x7f38, (q15_t)0xf1e5, (q15_t)0x7f37, (q15_t)0xf1de, (q15_t)0x7f36, (q15_t)0xf1d8, (q15_t)0x7f36, (q15_t)0xf1d2, + (q15_t)0x7f35, (q15_t)0xf1cc, (q15_t)0x7f34, (q15_t)0xf1c6, (q15_t)0x7f34, (q15_t)0xf1bf, (q15_t)0x7f33, (q15_t)0xf1b9, + (q15_t)0x7f32, (q15_t)0xf1b3, (q15_t)0x7f32, (q15_t)0xf1ad, (q15_t)0x7f31, (q15_t)0xf1a6, (q15_t)0x7f30, (q15_t)0xf1a0, + (q15_t)0x7f2f, (q15_t)0xf19a, (q15_t)0x7f2f, (q15_t)0xf194, (q15_t)0x7f2e, (q15_t)0xf18d, (q15_t)0x7f2d, (q15_t)0xf187, + (q15_t)0x7f2d, (q15_t)0xf181, (q15_t)0x7f2c, (q15_t)0xf17b, (q15_t)0x7f2b, (q15_t)0xf174, (q15_t)0x7f2a, (q15_t)0xf16e, + (q15_t)0x7f2a, (q15_t)0xf168, (q15_t)0x7f29, (q15_t)0xf162, (q15_t)0x7f28, (q15_t)0xf15b, (q15_t)0x7f28, (q15_t)0xf155, + (q15_t)0x7f27, (q15_t)0xf14f, (q15_t)0x7f26, (q15_t)0xf149, (q15_t)0x7f25, (q15_t)0xf142, (q15_t)0x7f25, (q15_t)0xf13c, + (q15_t)0x7f24, (q15_t)0xf136, (q15_t)0x7f23, (q15_t)0xf130, (q15_t)0x7f23, (q15_t)0xf129, (q15_t)0x7f22, (q15_t)0xf123, + (q15_t)0x7f21, (q15_t)0xf11d, (q15_t)0x7f20, (q15_t)0xf117, (q15_t)0x7f20, (q15_t)0xf110, (q15_t)0x7f1f, (q15_t)0xf10a, + (q15_t)0x7f1e, (q15_t)0xf104, (q15_t)0x7f1d, (q15_t)0xf0fe, (q15_t)0x7f1d, (q15_t)0xf0f8, (q15_t)0x7f1c, (q15_t)0xf0f1, + (q15_t)0x7f1b, (q15_t)0xf0eb, (q15_t)0x7f1a, (q15_t)0xf0e5, (q15_t)0x7f1a, (q15_t)0xf0df, (q15_t)0x7f19, (q15_t)0xf0d8, + (q15_t)0x7f18, (q15_t)0xf0d2, (q15_t)0x7f17, (q15_t)0xf0cc, (q15_t)0x7f17, (q15_t)0xf0c6, (q15_t)0x7f16, (q15_t)0xf0bf, + (q15_t)0x7f15, (q15_t)0xf0b9, (q15_t)0x7f14, (q15_t)0xf0b3, (q15_t)0x7f14, (q15_t)0xf0ad, (q15_t)0x7f13, (q15_t)0xf0a6, + (q15_t)0x7f12, (q15_t)0xf0a0, (q15_t)0x7f11, (q15_t)0xf09a, (q15_t)0x7f11, (q15_t)0xf094, (q15_t)0x7f10, (q15_t)0xf08d, + (q15_t)0x7f0f, (q15_t)0xf087, (q15_t)0x7f0e, (q15_t)0xf081, (q15_t)0x7f0e, (q15_t)0xf07b, (q15_t)0x7f0d, (q15_t)0xf075, + (q15_t)0x7f0c, (q15_t)0xf06e, (q15_t)0x7f0b, (q15_t)0xf068, (q15_t)0x7f0b, (q15_t)0xf062, (q15_t)0x7f0a, (q15_t)0xf05c, + (q15_t)0x7f09, (q15_t)0xf055, (q15_t)0x7f08, (q15_t)0xf04f, (q15_t)0x7f08, (q15_t)0xf049, (q15_t)0x7f07, (q15_t)0xf043, + (q15_t)0x7f06, (q15_t)0xf03c, (q15_t)0x7f05, (q15_t)0xf036, (q15_t)0x7f04, (q15_t)0xf030, (q15_t)0x7f04, (q15_t)0xf02a, + (q15_t)0x7f03, (q15_t)0xf023, (q15_t)0x7f02, (q15_t)0xf01d, (q15_t)0x7f01, (q15_t)0xf017, (q15_t)0x7f01, (q15_t)0xf011, + (q15_t)0x7f00, (q15_t)0xf00b, (q15_t)0x7eff, (q15_t)0xf004, (q15_t)0x7efe, (q15_t)0xeffe, (q15_t)0x7efd, (q15_t)0xeff8, + (q15_t)0x7efd, (q15_t)0xeff2, (q15_t)0x7efc, (q15_t)0xefeb, (q15_t)0x7efb, (q15_t)0xefe5, (q15_t)0x7efa, (q15_t)0xefdf, + (q15_t)0x7ef9, (q15_t)0xefd9, (q15_t)0x7ef9, (q15_t)0xefd2, (q15_t)0x7ef8, (q15_t)0xefcc, (q15_t)0x7ef7, (q15_t)0xefc6, + (q15_t)0x7ef6, (q15_t)0xefc0, (q15_t)0x7ef5, (q15_t)0xefb9, (q15_t)0x7ef5, (q15_t)0xefb3, (q15_t)0x7ef4, (q15_t)0xefad, + (q15_t)0x7ef3, (q15_t)0xefa7, (q15_t)0x7ef2, (q15_t)0xefa1, (q15_t)0x7ef1, (q15_t)0xef9a, (q15_t)0x7ef1, (q15_t)0xef94, + (q15_t)0x7ef0, (q15_t)0xef8e, (q15_t)0x7eef, (q15_t)0xef88, (q15_t)0x7eee, (q15_t)0xef81, (q15_t)0x7eed, (q15_t)0xef7b, + (q15_t)0x7eed, (q15_t)0xef75, (q15_t)0x7eec, (q15_t)0xef6f, (q15_t)0x7eeb, (q15_t)0xef68, (q15_t)0x7eea, (q15_t)0xef62, + (q15_t)0x7ee9, (q15_t)0xef5c, (q15_t)0x7ee9, (q15_t)0xef56, (q15_t)0x7ee8, (q15_t)0xef50, (q15_t)0x7ee7, (q15_t)0xef49, + (q15_t)0x7ee6, (q15_t)0xef43, (q15_t)0x7ee5, (q15_t)0xef3d, (q15_t)0x7ee4, (q15_t)0xef37, (q15_t)0x7ee4, (q15_t)0xef30, + (q15_t)0x7ee3, (q15_t)0xef2a, (q15_t)0x7ee2, (q15_t)0xef24, (q15_t)0x7ee1, (q15_t)0xef1e, (q15_t)0x7ee0, (q15_t)0xef18, + (q15_t)0x7edf, (q15_t)0xef11, (q15_t)0x7edf, (q15_t)0xef0b, (q15_t)0x7ede, (q15_t)0xef05, (q15_t)0x7edd, (q15_t)0xeeff, + (q15_t)0x7edc, (q15_t)0xeef8, (q15_t)0x7edb, (q15_t)0xeef2, (q15_t)0x7eda, (q15_t)0xeeec, (q15_t)0x7eda, (q15_t)0xeee6, + (q15_t)0x7ed9, (q15_t)0xeedf, (q15_t)0x7ed8, (q15_t)0xeed9, (q15_t)0x7ed7, (q15_t)0xeed3, (q15_t)0x7ed6, (q15_t)0xeecd, + (q15_t)0x7ed5, (q15_t)0xeec7, (q15_t)0x7ed5, (q15_t)0xeec0, (q15_t)0x7ed4, (q15_t)0xeeba, (q15_t)0x7ed3, (q15_t)0xeeb4, + (q15_t)0x7ed2, (q15_t)0xeeae, (q15_t)0x7ed1, (q15_t)0xeea7, (q15_t)0x7ed0, (q15_t)0xeea1, (q15_t)0x7ecf, (q15_t)0xee9b, + (q15_t)0x7ecf, (q15_t)0xee95, (q15_t)0x7ece, (q15_t)0xee8f, (q15_t)0x7ecd, (q15_t)0xee88, (q15_t)0x7ecc, (q15_t)0xee82, + (q15_t)0x7ecb, (q15_t)0xee7c, (q15_t)0x7eca, (q15_t)0xee76, (q15_t)0x7ec9, (q15_t)0xee6f, (q15_t)0x7ec9, (q15_t)0xee69, + (q15_t)0x7ec8, (q15_t)0xee63, (q15_t)0x7ec7, (q15_t)0xee5d, (q15_t)0x7ec6, (q15_t)0xee57, (q15_t)0x7ec5, (q15_t)0xee50, + (q15_t)0x7ec4, (q15_t)0xee4a, (q15_t)0x7ec3, (q15_t)0xee44, (q15_t)0x7ec3, (q15_t)0xee3e, (q15_t)0x7ec2, (q15_t)0xee37, + (q15_t)0x7ec1, (q15_t)0xee31, (q15_t)0x7ec0, (q15_t)0xee2b, (q15_t)0x7ebf, (q15_t)0xee25, (q15_t)0x7ebe, (q15_t)0xee1f, + (q15_t)0x7ebd, (q15_t)0xee18, (q15_t)0x7ebc, (q15_t)0xee12, (q15_t)0x7ebb, (q15_t)0xee0c, (q15_t)0x7ebb, (q15_t)0xee06, + (q15_t)0x7eba, (q15_t)0xedff, (q15_t)0x7eb9, (q15_t)0xedf9, (q15_t)0x7eb8, (q15_t)0xedf3, (q15_t)0x7eb7, (q15_t)0xeded, + (q15_t)0x7eb6, (q15_t)0xede7, (q15_t)0x7eb5, (q15_t)0xede0, (q15_t)0x7eb4, (q15_t)0xedda, (q15_t)0x7eb4, (q15_t)0xedd4, + (q15_t)0x7eb3, (q15_t)0xedce, (q15_t)0x7eb2, (q15_t)0xedc7, (q15_t)0x7eb1, (q15_t)0xedc1, (q15_t)0x7eb0, (q15_t)0xedbb, + (q15_t)0x7eaf, (q15_t)0xedb5, (q15_t)0x7eae, (q15_t)0xedaf, (q15_t)0x7ead, (q15_t)0xeda8, (q15_t)0x7eac, (q15_t)0xeda2, + (q15_t)0x7eab, (q15_t)0xed9c, (q15_t)0x7eab, (q15_t)0xed96, (q15_t)0x7eaa, (q15_t)0xed8f, (q15_t)0x7ea9, (q15_t)0xed89, + (q15_t)0x7ea8, (q15_t)0xed83, (q15_t)0x7ea7, (q15_t)0xed7d, (q15_t)0x7ea6, (q15_t)0xed77, (q15_t)0x7ea5, (q15_t)0xed70, + (q15_t)0x7ea4, (q15_t)0xed6a, (q15_t)0x7ea3, (q15_t)0xed64, (q15_t)0x7ea2, (q15_t)0xed5e, (q15_t)0x7ea1, (q15_t)0xed58, + (q15_t)0x7ea1, (q15_t)0xed51, (q15_t)0x7ea0, (q15_t)0xed4b, (q15_t)0x7e9f, (q15_t)0xed45, (q15_t)0x7e9e, (q15_t)0xed3f, + (q15_t)0x7e9d, (q15_t)0xed38, (q15_t)0x7e9c, (q15_t)0xed32, (q15_t)0x7e9b, (q15_t)0xed2c, (q15_t)0x7e9a, (q15_t)0xed26, + (q15_t)0x7e99, (q15_t)0xed20, (q15_t)0x7e98, (q15_t)0xed19, (q15_t)0x7e97, (q15_t)0xed13, (q15_t)0x7e96, (q15_t)0xed0d, + (q15_t)0x7e95, (q15_t)0xed07, (q15_t)0x7e94, (q15_t)0xed01, (q15_t)0x7e94, (q15_t)0xecfa, (q15_t)0x7e93, (q15_t)0xecf4, + (q15_t)0x7e92, (q15_t)0xecee, (q15_t)0x7e91, (q15_t)0xece8, (q15_t)0x7e90, (q15_t)0xece1, (q15_t)0x7e8f, (q15_t)0xecdb, + (q15_t)0x7e8e, (q15_t)0xecd5, (q15_t)0x7e8d, (q15_t)0xeccf, (q15_t)0x7e8c, (q15_t)0xecc9, (q15_t)0x7e8b, (q15_t)0xecc2, + (q15_t)0x7e8a, (q15_t)0xecbc, (q15_t)0x7e89, (q15_t)0xecb6, (q15_t)0x7e88, (q15_t)0xecb0, (q15_t)0x7e87, (q15_t)0xecaa, + (q15_t)0x7e86, (q15_t)0xeca3, (q15_t)0x7e85, (q15_t)0xec9d, (q15_t)0x7e84, (q15_t)0xec97, (q15_t)0x7e84, (q15_t)0xec91, + (q15_t)0x7e83, (q15_t)0xec8a, (q15_t)0x7e82, (q15_t)0xec84, (q15_t)0x7e81, (q15_t)0xec7e, (q15_t)0x7e80, (q15_t)0xec78, + (q15_t)0x7e7f, (q15_t)0xec72, (q15_t)0x7e7e, (q15_t)0xec6b, (q15_t)0x7e7d, (q15_t)0xec65, (q15_t)0x7e7c, (q15_t)0xec5f, + (q15_t)0x7e7b, (q15_t)0xec59, (q15_t)0x7e7a, (q15_t)0xec53, (q15_t)0x7e79, (q15_t)0xec4c, (q15_t)0x7e78, (q15_t)0xec46, + (q15_t)0x7e77, (q15_t)0xec40, (q15_t)0x7e76, (q15_t)0xec3a, (q15_t)0x7e75, (q15_t)0xec34, (q15_t)0x7e74, (q15_t)0xec2d, + (q15_t)0x7e73, (q15_t)0xec27, (q15_t)0x7e72, (q15_t)0xec21, (q15_t)0x7e71, (q15_t)0xec1b, (q15_t)0x7e70, (q15_t)0xec15, + (q15_t)0x7e6f, (q15_t)0xec0e, (q15_t)0x7e6e, (q15_t)0xec08, (q15_t)0x7e6d, (q15_t)0xec02, (q15_t)0x7e6c, (q15_t)0xebfc, + (q15_t)0x7e6b, (q15_t)0xebf5, (q15_t)0x7e6a, (q15_t)0xebef, (q15_t)0x7e69, (q15_t)0xebe9, (q15_t)0x7e68, (q15_t)0xebe3, + (q15_t)0x7e67, (q15_t)0xebdd, (q15_t)0x7e66, (q15_t)0xebd6, (q15_t)0x7e65, (q15_t)0xebd0, (q15_t)0x7e64, (q15_t)0xebca, + (q15_t)0x7e63, (q15_t)0xebc4, (q15_t)0x7e62, (q15_t)0xebbe, (q15_t)0x7e61, (q15_t)0xebb7, (q15_t)0x7e60, (q15_t)0xebb1, + (q15_t)0x7e5f, (q15_t)0xebab, (q15_t)0x7e5e, (q15_t)0xeba5, (q15_t)0x7e5d, (q15_t)0xeb9f, (q15_t)0x7e5c, (q15_t)0xeb98, + (q15_t)0x7e5b, (q15_t)0xeb92, (q15_t)0x7e5a, (q15_t)0xeb8c, (q15_t)0x7e59, (q15_t)0xeb86, (q15_t)0x7e58, (q15_t)0xeb80, + (q15_t)0x7e57, (q15_t)0xeb79, (q15_t)0x7e56, (q15_t)0xeb73, (q15_t)0x7e55, (q15_t)0xeb6d, (q15_t)0x7e54, (q15_t)0xeb67, + (q15_t)0x7e53, (q15_t)0xeb61, (q15_t)0x7e52, (q15_t)0xeb5a, (q15_t)0x7e51, (q15_t)0xeb54, (q15_t)0x7e50, (q15_t)0xeb4e, + (q15_t)0x7e4f, (q15_t)0xeb48, (q15_t)0x7e4e, (q15_t)0xeb42, (q15_t)0x7e4d, (q15_t)0xeb3b, (q15_t)0x7e4c, (q15_t)0xeb35, + (q15_t)0x7e4b, (q15_t)0xeb2f, (q15_t)0x7e4a, (q15_t)0xeb29, (q15_t)0x7e49, (q15_t)0xeb23, (q15_t)0x7e48, (q15_t)0xeb1c, + (q15_t)0x7e47, (q15_t)0xeb16, (q15_t)0x7e46, (q15_t)0xeb10, (q15_t)0x7e45, (q15_t)0xeb0a, (q15_t)0x7e44, (q15_t)0xeb04, + (q15_t)0x7e43, (q15_t)0xeafd, (q15_t)0x7e42, (q15_t)0xeaf7, (q15_t)0x7e41, (q15_t)0xeaf1, (q15_t)0x7e40, (q15_t)0xeaeb, + (q15_t)0x7e3f, (q15_t)0xeae5, (q15_t)0x7e3e, (q15_t)0xeade, (q15_t)0x7e3d, (q15_t)0xead8, (q15_t)0x7e3c, (q15_t)0xead2, + (q15_t)0x7e3b, (q15_t)0xeacc, (q15_t)0x7e3a, (q15_t)0xeac6, (q15_t)0x7e39, (q15_t)0xeabf, (q15_t)0x7e38, (q15_t)0xeab9, + (q15_t)0x7e37, (q15_t)0xeab3, (q15_t)0x7e35, (q15_t)0xeaad, (q15_t)0x7e34, (q15_t)0xeaa7, (q15_t)0x7e33, (q15_t)0xeaa0, + (q15_t)0x7e32, (q15_t)0xea9a, (q15_t)0x7e31, (q15_t)0xea94, (q15_t)0x7e30, (q15_t)0xea8e, (q15_t)0x7e2f, (q15_t)0xea88, + (q15_t)0x7e2e, (q15_t)0xea81, (q15_t)0x7e2d, (q15_t)0xea7b, (q15_t)0x7e2c, (q15_t)0xea75, (q15_t)0x7e2b, (q15_t)0xea6f, + (q15_t)0x7e2a, (q15_t)0xea69, (q15_t)0x7e29, (q15_t)0xea63, (q15_t)0x7e28, (q15_t)0xea5c, (q15_t)0x7e27, (q15_t)0xea56, + (q15_t)0x7e26, (q15_t)0xea50, (q15_t)0x7e25, (q15_t)0xea4a, (q15_t)0x7e24, (q15_t)0xea44, (q15_t)0x7e22, (q15_t)0xea3d, + (q15_t)0x7e21, (q15_t)0xea37, (q15_t)0x7e20, (q15_t)0xea31, (q15_t)0x7e1f, (q15_t)0xea2b, (q15_t)0x7e1e, (q15_t)0xea25, + (q15_t)0x7e1d, (q15_t)0xea1e, (q15_t)0x7e1c, (q15_t)0xea18, (q15_t)0x7e1b, (q15_t)0xea12, (q15_t)0x7e1a, (q15_t)0xea0c, + (q15_t)0x7e19, (q15_t)0xea06, (q15_t)0x7e18, (q15_t)0xe9ff, (q15_t)0x7e17, (q15_t)0xe9f9, (q15_t)0x7e16, (q15_t)0xe9f3, + (q15_t)0x7e14, (q15_t)0xe9ed, (q15_t)0x7e13, (q15_t)0xe9e7, (q15_t)0x7e12, (q15_t)0xe9e1, (q15_t)0x7e11, (q15_t)0xe9da, + (q15_t)0x7e10, (q15_t)0xe9d4, (q15_t)0x7e0f, (q15_t)0xe9ce, (q15_t)0x7e0e, (q15_t)0xe9c8, (q15_t)0x7e0d, (q15_t)0xe9c2, + (q15_t)0x7e0c, (q15_t)0xe9bb, (q15_t)0x7e0b, (q15_t)0xe9b5, (q15_t)0x7e0a, (q15_t)0xe9af, (q15_t)0x7e08, (q15_t)0xe9a9, + (q15_t)0x7e07, (q15_t)0xe9a3, (q15_t)0x7e06, (q15_t)0xe99c, (q15_t)0x7e05, (q15_t)0xe996, (q15_t)0x7e04, (q15_t)0xe990, + (q15_t)0x7e03, (q15_t)0xe98a, (q15_t)0x7e02, (q15_t)0xe984, (q15_t)0x7e01, (q15_t)0xe97e, (q15_t)0x7e00, (q15_t)0xe977, + (q15_t)0x7dff, (q15_t)0xe971, (q15_t)0x7dfd, (q15_t)0xe96b, (q15_t)0x7dfc, (q15_t)0xe965, (q15_t)0x7dfb, (q15_t)0xe95f, + (q15_t)0x7dfa, (q15_t)0xe958, (q15_t)0x7df9, (q15_t)0xe952, (q15_t)0x7df8, (q15_t)0xe94c, (q15_t)0x7df7, (q15_t)0xe946, + (q15_t)0x7df6, (q15_t)0xe940, (q15_t)0x7df5, (q15_t)0xe93a, (q15_t)0x7df3, (q15_t)0xe933, (q15_t)0x7df2, (q15_t)0xe92d, + (q15_t)0x7df1, (q15_t)0xe927, (q15_t)0x7df0, (q15_t)0xe921, (q15_t)0x7def, (q15_t)0xe91b, (q15_t)0x7dee, (q15_t)0xe914, + (q15_t)0x7ded, (q15_t)0xe90e, (q15_t)0x7dec, (q15_t)0xe908, (q15_t)0x7dea, (q15_t)0xe902, (q15_t)0x7de9, (q15_t)0xe8fc, + (q15_t)0x7de8, (q15_t)0xe8f6, (q15_t)0x7de7, (q15_t)0xe8ef, (q15_t)0x7de6, (q15_t)0xe8e9, (q15_t)0x7de5, (q15_t)0xe8e3, + (q15_t)0x7de4, (q15_t)0xe8dd, (q15_t)0x7de2, (q15_t)0xe8d7, (q15_t)0x7de1, (q15_t)0xe8d0, (q15_t)0x7de0, (q15_t)0xe8ca, + (q15_t)0x7ddf, (q15_t)0xe8c4, (q15_t)0x7dde, (q15_t)0xe8be, (q15_t)0x7ddd, (q15_t)0xe8b8, (q15_t)0x7ddc, (q15_t)0xe8b2, + (q15_t)0x7dda, (q15_t)0xe8ab, (q15_t)0x7dd9, (q15_t)0xe8a5, (q15_t)0x7dd8, (q15_t)0xe89f, (q15_t)0x7dd7, (q15_t)0xe899, + (q15_t)0x7dd6, (q15_t)0xe893, (q15_t)0x7dd5, (q15_t)0xe88c, (q15_t)0x7dd4, (q15_t)0xe886, (q15_t)0x7dd2, (q15_t)0xe880, + (q15_t)0x7dd1, (q15_t)0xe87a, (q15_t)0x7dd0, (q15_t)0xe874, (q15_t)0x7dcf, (q15_t)0xe86e, (q15_t)0x7dce, (q15_t)0xe867, + (q15_t)0x7dcd, (q15_t)0xe861, (q15_t)0x7dcc, (q15_t)0xe85b, (q15_t)0x7dca, (q15_t)0xe855, (q15_t)0x7dc9, (q15_t)0xe84f, + (q15_t)0x7dc8, (q15_t)0xe849, (q15_t)0x7dc7, (q15_t)0xe842, (q15_t)0x7dc6, (q15_t)0xe83c, (q15_t)0x7dc5, (q15_t)0xe836, + (q15_t)0x7dc3, (q15_t)0xe830, (q15_t)0x7dc2, (q15_t)0xe82a, (q15_t)0x7dc1, (q15_t)0xe823, (q15_t)0x7dc0, (q15_t)0xe81d, + (q15_t)0x7dbf, (q15_t)0xe817, (q15_t)0x7dbd, (q15_t)0xe811, (q15_t)0x7dbc, (q15_t)0xe80b, (q15_t)0x7dbb, (q15_t)0xe805, + (q15_t)0x7dba, (q15_t)0xe7fe, (q15_t)0x7db9, (q15_t)0xe7f8, (q15_t)0x7db8, (q15_t)0xe7f2, (q15_t)0x7db6, (q15_t)0xe7ec, + (q15_t)0x7db5, (q15_t)0xe7e6, (q15_t)0x7db4, (q15_t)0xe7e0, (q15_t)0x7db3, (q15_t)0xe7d9, (q15_t)0x7db2, (q15_t)0xe7d3, + (q15_t)0x7db0, (q15_t)0xe7cd, (q15_t)0x7daf, (q15_t)0xe7c7, (q15_t)0x7dae, (q15_t)0xe7c1, (q15_t)0x7dad, (q15_t)0xe7bb, + (q15_t)0x7dac, (q15_t)0xe7b4, (q15_t)0x7dab, (q15_t)0xe7ae, (q15_t)0x7da9, (q15_t)0xe7a8, (q15_t)0x7da8, (q15_t)0xe7a2, + (q15_t)0x7da7, (q15_t)0xe79c, (q15_t)0x7da6, (q15_t)0xe796, (q15_t)0x7da5, (q15_t)0xe78f, (q15_t)0x7da3, (q15_t)0xe789, + (q15_t)0x7da2, (q15_t)0xe783, (q15_t)0x7da1, (q15_t)0xe77d, (q15_t)0x7da0, (q15_t)0xe777, (q15_t)0x7d9f, (q15_t)0xe771, + (q15_t)0x7d9d, (q15_t)0xe76a, (q15_t)0x7d9c, (q15_t)0xe764, (q15_t)0x7d9b, (q15_t)0xe75e, (q15_t)0x7d9a, (q15_t)0xe758, + (q15_t)0x7d98, (q15_t)0xe752, (q15_t)0x7d97, (q15_t)0xe74c, (q15_t)0x7d96, (q15_t)0xe745, (q15_t)0x7d95, (q15_t)0xe73f, + (q15_t)0x7d94, (q15_t)0xe739, (q15_t)0x7d92, (q15_t)0xe733, (q15_t)0x7d91, (q15_t)0xe72d, (q15_t)0x7d90, (q15_t)0xe727, + (q15_t)0x7d8f, (q15_t)0xe720, (q15_t)0x7d8e, (q15_t)0xe71a, (q15_t)0x7d8c, (q15_t)0xe714, (q15_t)0x7d8b, (q15_t)0xe70e, + (q15_t)0x7d8a, (q15_t)0xe708, (q15_t)0x7d89, (q15_t)0xe702, (q15_t)0x7d87, (q15_t)0xe6fb, (q15_t)0x7d86, (q15_t)0xe6f5, + (q15_t)0x7d85, (q15_t)0xe6ef, (q15_t)0x7d84, (q15_t)0xe6e9, (q15_t)0x7d82, (q15_t)0xe6e3, (q15_t)0x7d81, (q15_t)0xe6dd, + (q15_t)0x7d80, (q15_t)0xe6d6, (q15_t)0x7d7f, (q15_t)0xe6d0, (q15_t)0x7d7e, (q15_t)0xe6ca, (q15_t)0x7d7c, (q15_t)0xe6c4, + (q15_t)0x7d7b, (q15_t)0xe6be, (q15_t)0x7d7a, (q15_t)0xe6b8, (q15_t)0x7d79, (q15_t)0xe6b2, (q15_t)0x7d77, (q15_t)0xe6ab, + (q15_t)0x7d76, (q15_t)0xe6a5, (q15_t)0x7d75, (q15_t)0xe69f, (q15_t)0x7d74, (q15_t)0xe699, (q15_t)0x7d72, (q15_t)0xe693, + (q15_t)0x7d71, (q15_t)0xe68d, (q15_t)0x7d70, (q15_t)0xe686, (q15_t)0x7d6f, (q15_t)0xe680, (q15_t)0x7d6d, (q15_t)0xe67a, + (q15_t)0x7d6c, (q15_t)0xe674, (q15_t)0x7d6b, (q15_t)0xe66e, (q15_t)0x7d6a, (q15_t)0xe668, (q15_t)0x7d68, (q15_t)0xe661, + (q15_t)0x7d67, (q15_t)0xe65b, (q15_t)0x7d66, (q15_t)0xe655, (q15_t)0x7d65, (q15_t)0xe64f, (q15_t)0x7d63, (q15_t)0xe649, + (q15_t)0x7d62, (q15_t)0xe643, (q15_t)0x7d61, (q15_t)0xe63d, (q15_t)0x7d60, (q15_t)0xe636, (q15_t)0x7d5e, (q15_t)0xe630, + (q15_t)0x7d5d, (q15_t)0xe62a, (q15_t)0x7d5c, (q15_t)0xe624, (q15_t)0x7d5a, (q15_t)0xe61e, (q15_t)0x7d59, (q15_t)0xe618, + (q15_t)0x7d58, (q15_t)0xe611, (q15_t)0x7d57, (q15_t)0xe60b, (q15_t)0x7d55, (q15_t)0xe605, (q15_t)0x7d54, (q15_t)0xe5ff, + (q15_t)0x7d53, (q15_t)0xe5f9, (q15_t)0x7d52, (q15_t)0xe5f3, (q15_t)0x7d50, (q15_t)0xe5ed, (q15_t)0x7d4f, (q15_t)0xe5e6, + (q15_t)0x7d4e, (q15_t)0xe5e0, (q15_t)0x7d4c, (q15_t)0xe5da, (q15_t)0x7d4b, (q15_t)0xe5d4, (q15_t)0x7d4a, (q15_t)0xe5ce, + (q15_t)0x7d49, (q15_t)0xe5c8, (q15_t)0x7d47, (q15_t)0xe5c2, (q15_t)0x7d46, (q15_t)0xe5bb, (q15_t)0x7d45, (q15_t)0xe5b5, + (q15_t)0x7d43, (q15_t)0xe5af, (q15_t)0x7d42, (q15_t)0xe5a9, (q15_t)0x7d41, (q15_t)0xe5a3, (q15_t)0x7d3f, (q15_t)0xe59d, + (q15_t)0x7d3e, (q15_t)0xe596, (q15_t)0x7d3d, (q15_t)0xe590, (q15_t)0x7d3c, (q15_t)0xe58a, (q15_t)0x7d3a, (q15_t)0xe584, + (q15_t)0x7d39, (q15_t)0xe57e, (q15_t)0x7d38, (q15_t)0xe578, (q15_t)0x7d36, (q15_t)0xe572, (q15_t)0x7d35, (q15_t)0xe56b, + (q15_t)0x7d34, (q15_t)0xe565, (q15_t)0x7d32, (q15_t)0xe55f, (q15_t)0x7d31, (q15_t)0xe559, (q15_t)0x7d30, (q15_t)0xe553, + (q15_t)0x7d2f, (q15_t)0xe54d, (q15_t)0x7d2d, (q15_t)0xe547, (q15_t)0x7d2c, (q15_t)0xe540, (q15_t)0x7d2b, (q15_t)0xe53a, + (q15_t)0x7d29, (q15_t)0xe534, (q15_t)0x7d28, (q15_t)0xe52e, (q15_t)0x7d27, (q15_t)0xe528, (q15_t)0x7d25, (q15_t)0xe522, + (q15_t)0x7d24, (q15_t)0xe51c, (q15_t)0x7d23, (q15_t)0xe515, (q15_t)0x7d21, (q15_t)0xe50f, (q15_t)0x7d20, (q15_t)0xe509, + (q15_t)0x7d1f, (q15_t)0xe503, (q15_t)0x7d1d, (q15_t)0xe4fd, (q15_t)0x7d1c, (q15_t)0xe4f7, (q15_t)0x7d1b, (q15_t)0xe4f1, + (q15_t)0x7d19, (q15_t)0xe4ea, (q15_t)0x7d18, (q15_t)0xe4e4, (q15_t)0x7d17, (q15_t)0xe4de, (q15_t)0x7d15, (q15_t)0xe4d8, + (q15_t)0x7d14, (q15_t)0xe4d2, (q15_t)0x7d13, (q15_t)0xe4cc, (q15_t)0x7d11, (q15_t)0xe4c6, (q15_t)0x7d10, (q15_t)0xe4bf, + (q15_t)0x7d0f, (q15_t)0xe4b9, (q15_t)0x7d0d, (q15_t)0xe4b3, (q15_t)0x7d0c, (q15_t)0xe4ad, (q15_t)0x7d0b, (q15_t)0xe4a7, + (q15_t)0x7d09, (q15_t)0xe4a1, (q15_t)0x7d08, (q15_t)0xe49b, (q15_t)0x7d07, (q15_t)0xe494, (q15_t)0x7d05, (q15_t)0xe48e, + (q15_t)0x7d04, (q15_t)0xe488, (q15_t)0x7d03, (q15_t)0xe482, (q15_t)0x7d01, (q15_t)0xe47c, (q15_t)0x7d00, (q15_t)0xe476, + (q15_t)0x7cff, (q15_t)0xe470, (q15_t)0x7cfd, (q15_t)0xe46a, (q15_t)0x7cfc, (q15_t)0xe463, (q15_t)0x7cfb, (q15_t)0xe45d, + (q15_t)0x7cf9, (q15_t)0xe457, (q15_t)0x7cf8, (q15_t)0xe451, (q15_t)0x7cf6, (q15_t)0xe44b, (q15_t)0x7cf5, (q15_t)0xe445, + (q15_t)0x7cf4, (q15_t)0xe43f, (q15_t)0x7cf2, (q15_t)0xe438, (q15_t)0x7cf1, (q15_t)0xe432, (q15_t)0x7cf0, (q15_t)0xe42c, + (q15_t)0x7cee, (q15_t)0xe426, (q15_t)0x7ced, (q15_t)0xe420, (q15_t)0x7cec, (q15_t)0xe41a, (q15_t)0x7cea, (q15_t)0xe414, + (q15_t)0x7ce9, (q15_t)0xe40e, (q15_t)0x7ce7, (q15_t)0xe407, (q15_t)0x7ce6, (q15_t)0xe401, (q15_t)0x7ce5, (q15_t)0xe3fb, + (q15_t)0x7ce3, (q15_t)0xe3f5, (q15_t)0x7ce2, (q15_t)0xe3ef, (q15_t)0x7ce1, (q15_t)0xe3e9, (q15_t)0x7cdf, (q15_t)0xe3e3, + (q15_t)0x7cde, (q15_t)0xe3dc, (q15_t)0x7cdc, (q15_t)0xe3d6, (q15_t)0x7cdb, (q15_t)0xe3d0, (q15_t)0x7cda, (q15_t)0xe3ca, + (q15_t)0x7cd8, (q15_t)0xe3c4, (q15_t)0x7cd7, (q15_t)0xe3be, (q15_t)0x7cd5, (q15_t)0xe3b8, (q15_t)0x7cd4, (q15_t)0xe3b2, + (q15_t)0x7cd3, (q15_t)0xe3ab, (q15_t)0x7cd1, (q15_t)0xe3a5, (q15_t)0x7cd0, (q15_t)0xe39f, (q15_t)0x7ccf, (q15_t)0xe399, + (q15_t)0x7ccd, (q15_t)0xe393, (q15_t)0x7ccc, (q15_t)0xe38d, (q15_t)0x7cca, (q15_t)0xe387, (q15_t)0x7cc9, (q15_t)0xe381, + (q15_t)0x7cc8, (q15_t)0xe37a, (q15_t)0x7cc6, (q15_t)0xe374, (q15_t)0x7cc5, (q15_t)0xe36e, (q15_t)0x7cc3, (q15_t)0xe368, + (q15_t)0x7cc2, (q15_t)0xe362, (q15_t)0x7cc1, (q15_t)0xe35c, (q15_t)0x7cbf, (q15_t)0xe356, (q15_t)0x7cbe, (q15_t)0xe350, + (q15_t)0x7cbc, (q15_t)0xe349, (q15_t)0x7cbb, (q15_t)0xe343, (q15_t)0x7cb9, (q15_t)0xe33d, (q15_t)0x7cb8, (q15_t)0xe337, + (q15_t)0x7cb7, (q15_t)0xe331, (q15_t)0x7cb5, (q15_t)0xe32b, (q15_t)0x7cb4, (q15_t)0xe325, (q15_t)0x7cb2, (q15_t)0xe31f, + (q15_t)0x7cb1, (q15_t)0xe318, (q15_t)0x7cb0, (q15_t)0xe312, (q15_t)0x7cae, (q15_t)0xe30c, (q15_t)0x7cad, (q15_t)0xe306, + (q15_t)0x7cab, (q15_t)0xe300, (q15_t)0x7caa, (q15_t)0xe2fa, (q15_t)0x7ca8, (q15_t)0xe2f4, (q15_t)0x7ca7, (q15_t)0xe2ee, + (q15_t)0x7ca6, (q15_t)0xe2e8, (q15_t)0x7ca4, (q15_t)0xe2e1, (q15_t)0x7ca3, (q15_t)0xe2db, (q15_t)0x7ca1, (q15_t)0xe2d5, + (q15_t)0x7ca0, (q15_t)0xe2cf, (q15_t)0x7c9e, (q15_t)0xe2c9, (q15_t)0x7c9d, (q15_t)0xe2c3, (q15_t)0x7c9c, (q15_t)0xe2bd, + (q15_t)0x7c9a, (q15_t)0xe2b7, (q15_t)0x7c99, (q15_t)0xe2b0, (q15_t)0x7c97, (q15_t)0xe2aa, (q15_t)0x7c96, (q15_t)0xe2a4, + (q15_t)0x7c94, (q15_t)0xe29e, (q15_t)0x7c93, (q15_t)0xe298, (q15_t)0x7c91, (q15_t)0xe292, (q15_t)0x7c90, (q15_t)0xe28c, + (q15_t)0x7c8f, (q15_t)0xe286, (q15_t)0x7c8d, (q15_t)0xe280, (q15_t)0x7c8c, (q15_t)0xe279, (q15_t)0x7c8a, (q15_t)0xe273, + (q15_t)0x7c89, (q15_t)0xe26d, (q15_t)0x7c87, (q15_t)0xe267, (q15_t)0x7c86, (q15_t)0xe261, (q15_t)0x7c84, (q15_t)0xe25b, + (q15_t)0x7c83, (q15_t)0xe255, (q15_t)0x7c82, (q15_t)0xe24f, (q15_t)0x7c80, (q15_t)0xe249, (q15_t)0x7c7f, (q15_t)0xe242, + (q15_t)0x7c7d, (q15_t)0xe23c, (q15_t)0x7c7c, (q15_t)0xe236, (q15_t)0x7c7a, (q15_t)0xe230, (q15_t)0x7c79, (q15_t)0xe22a, + (q15_t)0x7c77, (q15_t)0xe224, (q15_t)0x7c76, (q15_t)0xe21e, (q15_t)0x7c74, (q15_t)0xe218, (q15_t)0x7c73, (q15_t)0xe212, + (q15_t)0x7c71, (q15_t)0xe20b, (q15_t)0x7c70, (q15_t)0xe205, (q15_t)0x7c6e, (q15_t)0xe1ff, (q15_t)0x7c6d, (q15_t)0xe1f9, + (q15_t)0x7c6c, (q15_t)0xe1f3, (q15_t)0x7c6a, (q15_t)0xe1ed, (q15_t)0x7c69, (q15_t)0xe1e7, (q15_t)0x7c67, (q15_t)0xe1e1, + (q15_t)0x7c66, (q15_t)0xe1db, (q15_t)0x7c64, (q15_t)0xe1d4, (q15_t)0x7c63, (q15_t)0xe1ce, (q15_t)0x7c61, (q15_t)0xe1c8, + (q15_t)0x7c60, (q15_t)0xe1c2, (q15_t)0x7c5e, (q15_t)0xe1bc, (q15_t)0x7c5d, (q15_t)0xe1b6, (q15_t)0x7c5b, (q15_t)0xe1b0, + (q15_t)0x7c5a, (q15_t)0xe1aa, (q15_t)0x7c58, (q15_t)0xe1a4, (q15_t)0x7c57, (q15_t)0xe19e, (q15_t)0x7c55, (q15_t)0xe197, + (q15_t)0x7c54, (q15_t)0xe191, (q15_t)0x7c52, (q15_t)0xe18b, (q15_t)0x7c51, (q15_t)0xe185, (q15_t)0x7c4f, (q15_t)0xe17f, + (q15_t)0x7c4e, (q15_t)0xe179, (q15_t)0x7c4c, (q15_t)0xe173, (q15_t)0x7c4b, (q15_t)0xe16d, (q15_t)0x7c49, (q15_t)0xe167, + (q15_t)0x7c48, (q15_t)0xe160, (q15_t)0x7c46, (q15_t)0xe15a, (q15_t)0x7c45, (q15_t)0xe154, (q15_t)0x7c43, (q15_t)0xe14e, + (q15_t)0x7c42, (q15_t)0xe148, (q15_t)0x7c40, (q15_t)0xe142, (q15_t)0x7c3f, (q15_t)0xe13c, (q15_t)0x7c3d, (q15_t)0xe136, + (q15_t)0x7c3c, (q15_t)0xe130, (q15_t)0x7c3a, (q15_t)0xe12a, (q15_t)0x7c39, (q15_t)0xe123, (q15_t)0x7c37, (q15_t)0xe11d, + (q15_t)0x7c36, (q15_t)0xe117, (q15_t)0x7c34, (q15_t)0xe111, (q15_t)0x7c33, (q15_t)0xe10b, (q15_t)0x7c31, (q15_t)0xe105, + (q15_t)0x7c30, (q15_t)0xe0ff, (q15_t)0x7c2e, (q15_t)0xe0f9, (q15_t)0x7c2d, (q15_t)0xe0f3, (q15_t)0x7c2b, (q15_t)0xe0ed, + (q15_t)0x7c29, (q15_t)0xe0e7, (q15_t)0x7c28, (q15_t)0xe0e0, (q15_t)0x7c26, (q15_t)0xe0da, (q15_t)0x7c25, (q15_t)0xe0d4, + (q15_t)0x7c23, (q15_t)0xe0ce, (q15_t)0x7c22, (q15_t)0xe0c8, (q15_t)0x7c20, (q15_t)0xe0c2, (q15_t)0x7c1f, (q15_t)0xe0bc, + (q15_t)0x7c1d, (q15_t)0xe0b6, (q15_t)0x7c1c, (q15_t)0xe0b0, (q15_t)0x7c1a, (q15_t)0xe0aa, (q15_t)0x7c19, (q15_t)0xe0a3, + (q15_t)0x7c17, (q15_t)0xe09d, (q15_t)0x7c16, (q15_t)0xe097, (q15_t)0x7c14, (q15_t)0xe091, (q15_t)0x7c12, (q15_t)0xe08b, + (q15_t)0x7c11, (q15_t)0xe085, (q15_t)0x7c0f, (q15_t)0xe07f, (q15_t)0x7c0e, (q15_t)0xe079, (q15_t)0x7c0c, (q15_t)0xe073, + (q15_t)0x7c0b, (q15_t)0xe06d, (q15_t)0x7c09, (q15_t)0xe067, (q15_t)0x7c08, (q15_t)0xe061, (q15_t)0x7c06, (q15_t)0xe05a, + (q15_t)0x7c05, (q15_t)0xe054, (q15_t)0x7c03, (q15_t)0xe04e, (q15_t)0x7c01, (q15_t)0xe048, (q15_t)0x7c00, (q15_t)0xe042, + (q15_t)0x7bfe, (q15_t)0xe03c, (q15_t)0x7bfd, (q15_t)0xe036, (q15_t)0x7bfb, (q15_t)0xe030, (q15_t)0x7bfa, (q15_t)0xe02a, + (q15_t)0x7bf8, (q15_t)0xe024, (q15_t)0x7bf6, (q15_t)0xe01e, (q15_t)0x7bf5, (q15_t)0xe017, (q15_t)0x7bf3, (q15_t)0xe011, + (q15_t)0x7bf2, (q15_t)0xe00b, (q15_t)0x7bf0, (q15_t)0xe005, (q15_t)0x7bef, (q15_t)0xdfff, (q15_t)0x7bed, (q15_t)0xdff9, + (q15_t)0x7beb, (q15_t)0xdff3, (q15_t)0x7bea, (q15_t)0xdfed, (q15_t)0x7be8, (q15_t)0xdfe7, (q15_t)0x7be7, (q15_t)0xdfe1, + (q15_t)0x7be5, (q15_t)0xdfdb, (q15_t)0x7be4, (q15_t)0xdfd5, (q15_t)0x7be2, (q15_t)0xdfce, (q15_t)0x7be0, (q15_t)0xdfc8, + (q15_t)0x7bdf, (q15_t)0xdfc2, (q15_t)0x7bdd, (q15_t)0xdfbc, (q15_t)0x7bdc, (q15_t)0xdfb6, (q15_t)0x7bda, (q15_t)0xdfb0, + (q15_t)0x7bd9, (q15_t)0xdfaa, (q15_t)0x7bd7, (q15_t)0xdfa4, (q15_t)0x7bd5, (q15_t)0xdf9e, (q15_t)0x7bd4, (q15_t)0xdf98, + (q15_t)0x7bd2, (q15_t)0xdf92, (q15_t)0x7bd1, (q15_t)0xdf8c, (q15_t)0x7bcf, (q15_t)0xdf86, (q15_t)0x7bcd, (q15_t)0xdf7f, + (q15_t)0x7bcc, (q15_t)0xdf79, (q15_t)0x7bca, (q15_t)0xdf73, (q15_t)0x7bc9, (q15_t)0xdf6d, (q15_t)0x7bc7, (q15_t)0xdf67, + (q15_t)0x7bc5, (q15_t)0xdf61, (q15_t)0x7bc4, (q15_t)0xdf5b, (q15_t)0x7bc2, (q15_t)0xdf55, (q15_t)0x7bc1, (q15_t)0xdf4f, + (q15_t)0x7bbf, (q15_t)0xdf49, (q15_t)0x7bbd, (q15_t)0xdf43, (q15_t)0x7bbc, (q15_t)0xdf3d, (q15_t)0x7bba, (q15_t)0xdf37, + (q15_t)0x7bb9, (q15_t)0xdf30, (q15_t)0x7bb7, (q15_t)0xdf2a, (q15_t)0x7bb5, (q15_t)0xdf24, (q15_t)0x7bb4, (q15_t)0xdf1e, + (q15_t)0x7bb2, (q15_t)0xdf18, (q15_t)0x7bb0, (q15_t)0xdf12, (q15_t)0x7baf, (q15_t)0xdf0c, (q15_t)0x7bad, (q15_t)0xdf06, + (q15_t)0x7bac, (q15_t)0xdf00, (q15_t)0x7baa, (q15_t)0xdefa, (q15_t)0x7ba8, (q15_t)0xdef4, (q15_t)0x7ba7, (q15_t)0xdeee, + (q15_t)0x7ba5, (q15_t)0xdee8, (q15_t)0x7ba3, (q15_t)0xdee2, (q15_t)0x7ba2, (q15_t)0xdedb, (q15_t)0x7ba0, (q15_t)0xded5, + (q15_t)0x7b9f, (q15_t)0xdecf, (q15_t)0x7b9d, (q15_t)0xdec9, (q15_t)0x7b9b, (q15_t)0xdec3, (q15_t)0x7b9a, (q15_t)0xdebd, + (q15_t)0x7b98, (q15_t)0xdeb7, (q15_t)0x7b96, (q15_t)0xdeb1, (q15_t)0x7b95, (q15_t)0xdeab, (q15_t)0x7b93, (q15_t)0xdea5, + (q15_t)0x7b92, (q15_t)0xde9f, (q15_t)0x7b90, (q15_t)0xde99, (q15_t)0x7b8e, (q15_t)0xde93, (q15_t)0x7b8d, (q15_t)0xde8d, + (q15_t)0x7b8b, (q15_t)0xde87, (q15_t)0x7b89, (q15_t)0xde80, (q15_t)0x7b88, (q15_t)0xde7a, (q15_t)0x7b86, (q15_t)0xde74, + (q15_t)0x7b84, (q15_t)0xde6e, (q15_t)0x7b83, (q15_t)0xde68, (q15_t)0x7b81, (q15_t)0xde62, (q15_t)0x7b7f, (q15_t)0xde5c, + (q15_t)0x7b7e, (q15_t)0xde56, (q15_t)0x7b7c, (q15_t)0xde50, (q15_t)0x7b7a, (q15_t)0xde4a, (q15_t)0x7b79, (q15_t)0xde44, + (q15_t)0x7b77, (q15_t)0xde3e, (q15_t)0x7b76, (q15_t)0xde38, (q15_t)0x7b74, (q15_t)0xde32, (q15_t)0x7b72, (q15_t)0xde2c, + (q15_t)0x7b71, (q15_t)0xde26, (q15_t)0x7b6f, (q15_t)0xde1f, (q15_t)0x7b6d, (q15_t)0xde19, (q15_t)0x7b6c, (q15_t)0xde13, + (q15_t)0x7b6a, (q15_t)0xde0d, (q15_t)0x7b68, (q15_t)0xde07, (q15_t)0x7b67, (q15_t)0xde01, (q15_t)0x7b65, (q15_t)0xddfb, + (q15_t)0x7b63, (q15_t)0xddf5, (q15_t)0x7b62, (q15_t)0xddef, (q15_t)0x7b60, (q15_t)0xdde9, (q15_t)0x7b5e, (q15_t)0xdde3, + (q15_t)0x7b5d, (q15_t)0xdddd, (q15_t)0x7b5b, (q15_t)0xddd7, (q15_t)0x7b59, (q15_t)0xddd1, (q15_t)0x7b57, (q15_t)0xddcb, + (q15_t)0x7b56, (q15_t)0xddc5, (q15_t)0x7b54, (q15_t)0xddbf, (q15_t)0x7b52, (q15_t)0xddb9, (q15_t)0x7b51, (q15_t)0xddb2, + (q15_t)0x7b4f, (q15_t)0xddac, (q15_t)0x7b4d, (q15_t)0xdda6, (q15_t)0x7b4c, (q15_t)0xdda0, (q15_t)0x7b4a, (q15_t)0xdd9a, + (q15_t)0x7b48, (q15_t)0xdd94, (q15_t)0x7b47, (q15_t)0xdd8e, (q15_t)0x7b45, (q15_t)0xdd88, (q15_t)0x7b43, (q15_t)0xdd82, + (q15_t)0x7b42, (q15_t)0xdd7c, (q15_t)0x7b40, (q15_t)0xdd76, (q15_t)0x7b3e, (q15_t)0xdd70, (q15_t)0x7b3c, (q15_t)0xdd6a, + (q15_t)0x7b3b, (q15_t)0xdd64, (q15_t)0x7b39, (q15_t)0xdd5e, (q15_t)0x7b37, (q15_t)0xdd58, (q15_t)0x7b36, (q15_t)0xdd52, + (q15_t)0x7b34, (q15_t)0xdd4c, (q15_t)0x7b32, (q15_t)0xdd46, (q15_t)0x7b31, (q15_t)0xdd40, (q15_t)0x7b2f, (q15_t)0xdd39, + (q15_t)0x7b2d, (q15_t)0xdd33, (q15_t)0x7b2b, (q15_t)0xdd2d, (q15_t)0x7b2a, (q15_t)0xdd27, (q15_t)0x7b28, (q15_t)0xdd21, + (q15_t)0x7b26, (q15_t)0xdd1b, (q15_t)0x7b25, (q15_t)0xdd15, (q15_t)0x7b23, (q15_t)0xdd0f, (q15_t)0x7b21, (q15_t)0xdd09, + (q15_t)0x7b1f, (q15_t)0xdd03, (q15_t)0x7b1e, (q15_t)0xdcfd, (q15_t)0x7b1c, (q15_t)0xdcf7, (q15_t)0x7b1a, (q15_t)0xdcf1, + (q15_t)0x7b19, (q15_t)0xdceb, (q15_t)0x7b17, (q15_t)0xdce5, (q15_t)0x7b15, (q15_t)0xdcdf, (q15_t)0x7b13, (q15_t)0xdcd9, + (q15_t)0x7b12, (q15_t)0xdcd3, (q15_t)0x7b10, (q15_t)0xdccd, (q15_t)0x7b0e, (q15_t)0xdcc7, (q15_t)0x7b0c, (q15_t)0xdcc1, + (q15_t)0x7b0b, (q15_t)0xdcbb, (q15_t)0x7b09, (q15_t)0xdcb5, (q15_t)0x7b07, (q15_t)0xdcae, (q15_t)0x7b06, (q15_t)0xdca8, + (q15_t)0x7b04, (q15_t)0xdca2, (q15_t)0x7b02, (q15_t)0xdc9c, (q15_t)0x7b00, (q15_t)0xdc96, (q15_t)0x7aff, (q15_t)0xdc90, + (q15_t)0x7afd, (q15_t)0xdc8a, (q15_t)0x7afb, (q15_t)0xdc84, (q15_t)0x7af9, (q15_t)0xdc7e, (q15_t)0x7af8, (q15_t)0xdc78, + (q15_t)0x7af6, (q15_t)0xdc72, (q15_t)0x7af4, (q15_t)0xdc6c, (q15_t)0x7af2, (q15_t)0xdc66, (q15_t)0x7af1, (q15_t)0xdc60, + (q15_t)0x7aef, (q15_t)0xdc5a, (q15_t)0x7aed, (q15_t)0xdc54, (q15_t)0x7aeb, (q15_t)0xdc4e, (q15_t)0x7aea, (q15_t)0xdc48, + (q15_t)0x7ae8, (q15_t)0xdc42, (q15_t)0x7ae6, (q15_t)0xdc3c, (q15_t)0x7ae4, (q15_t)0xdc36, (q15_t)0x7ae3, (q15_t)0xdc30, + (q15_t)0x7ae1, (q15_t)0xdc2a, (q15_t)0x7adf, (q15_t)0xdc24, (q15_t)0x7add, (q15_t)0xdc1e, (q15_t)0x7adc, (q15_t)0xdc18, + (q15_t)0x7ada, (q15_t)0xdc12, (q15_t)0x7ad8, (q15_t)0xdc0c, (q15_t)0x7ad6, (q15_t)0xdc06, (q15_t)0x7ad5, (q15_t)0xdbff, + (q15_t)0x7ad3, (q15_t)0xdbf9, (q15_t)0x7ad1, (q15_t)0xdbf3, (q15_t)0x7acf, (q15_t)0xdbed, (q15_t)0x7acd, (q15_t)0xdbe7, + (q15_t)0x7acc, (q15_t)0xdbe1, (q15_t)0x7aca, (q15_t)0xdbdb, (q15_t)0x7ac8, (q15_t)0xdbd5, (q15_t)0x7ac6, (q15_t)0xdbcf, + (q15_t)0x7ac5, (q15_t)0xdbc9, (q15_t)0x7ac3, (q15_t)0xdbc3, (q15_t)0x7ac1, (q15_t)0xdbbd, (q15_t)0x7abf, (q15_t)0xdbb7, + (q15_t)0x7abd, (q15_t)0xdbb1, (q15_t)0x7abc, (q15_t)0xdbab, (q15_t)0x7aba, (q15_t)0xdba5, (q15_t)0x7ab8, (q15_t)0xdb9f, + (q15_t)0x7ab6, (q15_t)0xdb99, (q15_t)0x7ab5, (q15_t)0xdb93, (q15_t)0x7ab3, (q15_t)0xdb8d, (q15_t)0x7ab1, (q15_t)0xdb87, + (q15_t)0x7aaf, (q15_t)0xdb81, (q15_t)0x7aad, (q15_t)0xdb7b, (q15_t)0x7aac, (q15_t)0xdb75, (q15_t)0x7aaa, (q15_t)0xdb6f, + (q15_t)0x7aa8, (q15_t)0xdb69, (q15_t)0x7aa6, (q15_t)0xdb63, (q15_t)0x7aa4, (q15_t)0xdb5d, (q15_t)0x7aa3, (q15_t)0xdb57, + (q15_t)0x7aa1, (q15_t)0xdb51, (q15_t)0x7a9f, (q15_t)0xdb4b, (q15_t)0x7a9d, (q15_t)0xdb45, (q15_t)0x7a9b, (q15_t)0xdb3f, + (q15_t)0x7a9a, (q15_t)0xdb39, (q15_t)0x7a98, (q15_t)0xdb33, (q15_t)0x7a96, (q15_t)0xdb2d, (q15_t)0x7a94, (q15_t)0xdb27, + (q15_t)0x7a92, (q15_t)0xdb21, (q15_t)0x7a91, (q15_t)0xdb1b, (q15_t)0x7a8f, (q15_t)0xdb15, (q15_t)0x7a8d, (q15_t)0xdb0f, + (q15_t)0x7a8b, (q15_t)0xdb09, (q15_t)0x7a89, (q15_t)0xdb03, (q15_t)0x7a87, (q15_t)0xdafd, (q15_t)0x7a86, (q15_t)0xdaf7, + (q15_t)0x7a84, (q15_t)0xdaf1, (q15_t)0x7a82, (q15_t)0xdaea, (q15_t)0x7a80, (q15_t)0xdae4, (q15_t)0x7a7e, (q15_t)0xdade, + (q15_t)0x7a7d, (q15_t)0xdad8, (q15_t)0x7a7b, (q15_t)0xdad2, (q15_t)0x7a79, (q15_t)0xdacc, (q15_t)0x7a77, (q15_t)0xdac6, + (q15_t)0x7a75, (q15_t)0xdac0, (q15_t)0x7a73, (q15_t)0xdaba, (q15_t)0x7a72, (q15_t)0xdab4, (q15_t)0x7a70, (q15_t)0xdaae, + (q15_t)0x7a6e, (q15_t)0xdaa8, (q15_t)0x7a6c, (q15_t)0xdaa2, (q15_t)0x7a6a, (q15_t)0xda9c, (q15_t)0x7a68, (q15_t)0xda96, + (q15_t)0x7a67, (q15_t)0xda90, (q15_t)0x7a65, (q15_t)0xda8a, (q15_t)0x7a63, (q15_t)0xda84, (q15_t)0x7a61, (q15_t)0xda7e, + (q15_t)0x7a5f, (q15_t)0xda78, (q15_t)0x7a5d, (q15_t)0xda72, (q15_t)0x7a5c, (q15_t)0xda6c, (q15_t)0x7a5a, (q15_t)0xda66, + (q15_t)0x7a58, (q15_t)0xda60, (q15_t)0x7a56, (q15_t)0xda5a, (q15_t)0x7a54, (q15_t)0xda54, (q15_t)0x7a52, (q15_t)0xda4e, + (q15_t)0x7a50, (q15_t)0xda48, (q15_t)0x7a4f, (q15_t)0xda42, (q15_t)0x7a4d, (q15_t)0xda3c, (q15_t)0x7a4b, (q15_t)0xda36, + (q15_t)0x7a49, (q15_t)0xda30, (q15_t)0x7a47, (q15_t)0xda2a, (q15_t)0x7a45, (q15_t)0xda24, (q15_t)0x7a43, (q15_t)0xda1e, + (q15_t)0x7a42, (q15_t)0xda18, (q15_t)0x7a40, (q15_t)0xda12, (q15_t)0x7a3e, (q15_t)0xda0c, (q15_t)0x7a3c, (q15_t)0xda06, + (q15_t)0x7a3a, (q15_t)0xda00, (q15_t)0x7a38, (q15_t)0xd9fa, (q15_t)0x7a36, (q15_t)0xd9f4, (q15_t)0x7a35, (q15_t)0xd9ee, + (q15_t)0x7a33, (q15_t)0xd9e8, (q15_t)0x7a31, (q15_t)0xd9e2, (q15_t)0x7a2f, (q15_t)0xd9dc, (q15_t)0x7a2d, (q15_t)0xd9d6, + (q15_t)0x7a2b, (q15_t)0xd9d0, (q15_t)0x7a29, (q15_t)0xd9ca, (q15_t)0x7a27, (q15_t)0xd9c4, (q15_t)0x7a26, (q15_t)0xd9be, + (q15_t)0x7a24, (q15_t)0xd9b8, (q15_t)0x7a22, (q15_t)0xd9b2, (q15_t)0x7a20, (q15_t)0xd9ac, (q15_t)0x7a1e, (q15_t)0xd9a6, + (q15_t)0x7a1c, (q15_t)0xd9a0, (q15_t)0x7a1a, (q15_t)0xd99a, (q15_t)0x7a18, (q15_t)0xd994, (q15_t)0x7a16, (q15_t)0xd98e, + (q15_t)0x7a15, (q15_t)0xd988, (q15_t)0x7a13, (q15_t)0xd982, (q15_t)0x7a11, (q15_t)0xd97c, (q15_t)0x7a0f, (q15_t)0xd976, + (q15_t)0x7a0d, (q15_t)0xd970, (q15_t)0x7a0b, (q15_t)0xd96a, (q15_t)0x7a09, (q15_t)0xd964, (q15_t)0x7a07, (q15_t)0xd95e, + (q15_t)0x7a05, (q15_t)0xd958, (q15_t)0x7a04, (q15_t)0xd952, (q15_t)0x7a02, (q15_t)0xd94c, (q15_t)0x7a00, (q15_t)0xd946, + (q15_t)0x79fe, (q15_t)0xd940, (q15_t)0x79fc, (q15_t)0xd93a, (q15_t)0x79fa, (q15_t)0xd934, (q15_t)0x79f8, (q15_t)0xd92e, + (q15_t)0x79f6, (q15_t)0xd928, (q15_t)0x79f4, (q15_t)0xd922, (q15_t)0x79f2, (q15_t)0xd91c, (q15_t)0x79f0, (q15_t)0xd917, + (q15_t)0x79ef, (q15_t)0xd911, (q15_t)0x79ed, (q15_t)0xd90b, (q15_t)0x79eb, (q15_t)0xd905, (q15_t)0x79e9, (q15_t)0xd8ff, + (q15_t)0x79e7, (q15_t)0xd8f9, (q15_t)0x79e5, (q15_t)0xd8f3, (q15_t)0x79e3, (q15_t)0xd8ed, (q15_t)0x79e1, (q15_t)0xd8e7, + (q15_t)0x79df, (q15_t)0xd8e1, (q15_t)0x79dd, (q15_t)0xd8db, (q15_t)0x79db, (q15_t)0xd8d5, (q15_t)0x79d9, (q15_t)0xd8cf, + (q15_t)0x79d8, (q15_t)0xd8c9, (q15_t)0x79d6, (q15_t)0xd8c3, (q15_t)0x79d4, (q15_t)0xd8bd, (q15_t)0x79d2, (q15_t)0xd8b7, + (q15_t)0x79d0, (q15_t)0xd8b1, (q15_t)0x79ce, (q15_t)0xd8ab, (q15_t)0x79cc, (q15_t)0xd8a5, (q15_t)0x79ca, (q15_t)0xd89f, + (q15_t)0x79c8, (q15_t)0xd899, (q15_t)0x79c6, (q15_t)0xd893, (q15_t)0x79c4, (q15_t)0xd88d, (q15_t)0x79c2, (q15_t)0xd887, + (q15_t)0x79c0, (q15_t)0xd881, (q15_t)0x79be, (q15_t)0xd87b, (q15_t)0x79bc, (q15_t)0xd875, (q15_t)0x79bb, (q15_t)0xd86f, + (q15_t)0x79b9, (q15_t)0xd869, (q15_t)0x79b7, (q15_t)0xd863, (q15_t)0x79b5, (q15_t)0xd85d, (q15_t)0x79b3, (q15_t)0xd857, + (q15_t)0x79b1, (q15_t)0xd851, (q15_t)0x79af, (q15_t)0xd84b, (q15_t)0x79ad, (q15_t)0xd845, (q15_t)0x79ab, (q15_t)0xd83f, + (q15_t)0x79a9, (q15_t)0xd839, (q15_t)0x79a7, (q15_t)0xd833, (q15_t)0x79a5, (q15_t)0xd82d, (q15_t)0x79a3, (q15_t)0xd827, + (q15_t)0x79a1, (q15_t)0xd821, (q15_t)0x799f, (q15_t)0xd81b, (q15_t)0x799d, (q15_t)0xd815, (q15_t)0x799b, (q15_t)0xd80f, + (q15_t)0x7999, (q15_t)0xd80a, (q15_t)0x7997, (q15_t)0xd804, (q15_t)0x7995, (q15_t)0xd7fe, (q15_t)0x7993, (q15_t)0xd7f8, + (q15_t)0x7992, (q15_t)0xd7f2, (q15_t)0x7990, (q15_t)0xd7ec, (q15_t)0x798e, (q15_t)0xd7e6, (q15_t)0x798c, (q15_t)0xd7e0, + (q15_t)0x798a, (q15_t)0xd7da, (q15_t)0x7988, (q15_t)0xd7d4, (q15_t)0x7986, (q15_t)0xd7ce, (q15_t)0x7984, (q15_t)0xd7c8, + (q15_t)0x7982, (q15_t)0xd7c2, (q15_t)0x7980, (q15_t)0xd7bc, (q15_t)0x797e, (q15_t)0xd7b6, (q15_t)0x797c, (q15_t)0xd7b0, + (q15_t)0x797a, (q15_t)0xd7aa, (q15_t)0x7978, (q15_t)0xd7a4, (q15_t)0x7976, (q15_t)0xd79e, (q15_t)0x7974, (q15_t)0xd798, + (q15_t)0x7972, (q15_t)0xd792, (q15_t)0x7970, (q15_t)0xd78c, (q15_t)0x796e, (q15_t)0xd786, (q15_t)0x796c, (q15_t)0xd780, + (q15_t)0x796a, (q15_t)0xd77a, (q15_t)0x7968, (q15_t)0xd774, (q15_t)0x7966, (q15_t)0xd76e, (q15_t)0x7964, (q15_t)0xd768, + (q15_t)0x7962, (q15_t)0xd763, (q15_t)0x7960, (q15_t)0xd75d, (q15_t)0x795e, (q15_t)0xd757, (q15_t)0x795c, (q15_t)0xd751, + (q15_t)0x795a, (q15_t)0xd74b, (q15_t)0x7958, (q15_t)0xd745, (q15_t)0x7956, (q15_t)0xd73f, (q15_t)0x7954, (q15_t)0xd739, + (q15_t)0x7952, (q15_t)0xd733, (q15_t)0x7950, (q15_t)0xd72d, (q15_t)0x794e, (q15_t)0xd727, (q15_t)0x794c, (q15_t)0xd721, + (q15_t)0x794a, (q15_t)0xd71b, (q15_t)0x7948, (q15_t)0xd715, (q15_t)0x7946, (q15_t)0xd70f, (q15_t)0x7944, (q15_t)0xd709, + (q15_t)0x7942, (q15_t)0xd703, (q15_t)0x7940, (q15_t)0xd6fd, (q15_t)0x793e, (q15_t)0xd6f7, (q15_t)0x793c, (q15_t)0xd6f1, + (q15_t)0x793a, (q15_t)0xd6eb, (q15_t)0x7938, (q15_t)0xd6e5, (q15_t)0x7936, (q15_t)0xd6e0, (q15_t)0x7934, (q15_t)0xd6da, + (q15_t)0x7932, (q15_t)0xd6d4, (q15_t)0x7930, (q15_t)0xd6ce, (q15_t)0x792e, (q15_t)0xd6c8, (q15_t)0x792c, (q15_t)0xd6c2, + (q15_t)0x792a, (q15_t)0xd6bc, (q15_t)0x7928, (q15_t)0xd6b6, (q15_t)0x7926, (q15_t)0xd6b0, (q15_t)0x7924, (q15_t)0xd6aa, + (q15_t)0x7922, (q15_t)0xd6a4, (q15_t)0x7920, (q15_t)0xd69e, (q15_t)0x791e, (q15_t)0xd698, (q15_t)0x791c, (q15_t)0xd692, + (q15_t)0x7919, (q15_t)0xd68c, (q15_t)0x7917, (q15_t)0xd686, (q15_t)0x7915, (q15_t)0xd680, (q15_t)0x7913, (q15_t)0xd67a, + (q15_t)0x7911, (q15_t)0xd675, (q15_t)0x790f, (q15_t)0xd66f, (q15_t)0x790d, (q15_t)0xd669, (q15_t)0x790b, (q15_t)0xd663, + (q15_t)0x7909, (q15_t)0xd65d, (q15_t)0x7907, (q15_t)0xd657, (q15_t)0x7905, (q15_t)0xd651, (q15_t)0x7903, (q15_t)0xd64b, + (q15_t)0x7901, (q15_t)0xd645, (q15_t)0x78ff, (q15_t)0xd63f, (q15_t)0x78fd, (q15_t)0xd639, (q15_t)0x78fb, (q15_t)0xd633, + (q15_t)0x78f9, (q15_t)0xd62d, (q15_t)0x78f7, (q15_t)0xd627, (q15_t)0x78f5, (q15_t)0xd621, (q15_t)0x78f3, (q15_t)0xd61b, + (q15_t)0x78f1, (q15_t)0xd615, (q15_t)0x78ee, (q15_t)0xd610, (q15_t)0x78ec, (q15_t)0xd60a, (q15_t)0x78ea, (q15_t)0xd604, + (q15_t)0x78e8, (q15_t)0xd5fe, (q15_t)0x78e6, (q15_t)0xd5f8, (q15_t)0x78e4, (q15_t)0xd5f2, (q15_t)0x78e2, (q15_t)0xd5ec, + (q15_t)0x78e0, (q15_t)0xd5e6, (q15_t)0x78de, (q15_t)0xd5e0, (q15_t)0x78dc, (q15_t)0xd5da, (q15_t)0x78da, (q15_t)0xd5d4, + (q15_t)0x78d8, (q15_t)0xd5ce, (q15_t)0x78d6, (q15_t)0xd5c8, (q15_t)0x78d4, (q15_t)0xd5c2, (q15_t)0x78d2, (q15_t)0xd5bc, + (q15_t)0x78cf, (q15_t)0xd5b7, (q15_t)0x78cd, (q15_t)0xd5b1, (q15_t)0x78cb, (q15_t)0xd5ab, (q15_t)0x78c9, (q15_t)0xd5a5, + (q15_t)0x78c7, (q15_t)0xd59f, (q15_t)0x78c5, (q15_t)0xd599, (q15_t)0x78c3, (q15_t)0xd593, (q15_t)0x78c1, (q15_t)0xd58d, + (q15_t)0x78bf, (q15_t)0xd587, (q15_t)0x78bd, (q15_t)0xd581, (q15_t)0x78bb, (q15_t)0xd57b, (q15_t)0x78b9, (q15_t)0xd575, + (q15_t)0x78b6, (q15_t)0xd56f, (q15_t)0x78b4, (q15_t)0xd569, (q15_t)0x78b2, (q15_t)0xd564, (q15_t)0x78b0, (q15_t)0xd55e, + (q15_t)0x78ae, (q15_t)0xd558, (q15_t)0x78ac, (q15_t)0xd552, (q15_t)0x78aa, (q15_t)0xd54c, (q15_t)0x78a8, (q15_t)0xd546, + (q15_t)0x78a6, (q15_t)0xd540, (q15_t)0x78a4, (q15_t)0xd53a, (q15_t)0x78a2, (q15_t)0xd534, (q15_t)0x789f, (q15_t)0xd52e, + (q15_t)0x789d, (q15_t)0xd528, (q15_t)0x789b, (q15_t)0xd522, (q15_t)0x7899, (q15_t)0xd51c, (q15_t)0x7897, (q15_t)0xd517, + (q15_t)0x7895, (q15_t)0xd511, (q15_t)0x7893, (q15_t)0xd50b, (q15_t)0x7891, (q15_t)0xd505, (q15_t)0x788f, (q15_t)0xd4ff, + (q15_t)0x788c, (q15_t)0xd4f9, (q15_t)0x788a, (q15_t)0xd4f3, (q15_t)0x7888, (q15_t)0xd4ed, (q15_t)0x7886, (q15_t)0xd4e7, + (q15_t)0x7884, (q15_t)0xd4e1, (q15_t)0x7882, (q15_t)0xd4db, (q15_t)0x7880, (q15_t)0xd4d5, (q15_t)0x787e, (q15_t)0xd4d0, + (q15_t)0x787c, (q15_t)0xd4ca, (q15_t)0x7879, (q15_t)0xd4c4, (q15_t)0x7877, (q15_t)0xd4be, (q15_t)0x7875, (q15_t)0xd4b8, + (q15_t)0x7873, (q15_t)0xd4b2, (q15_t)0x7871, (q15_t)0xd4ac, (q15_t)0x786f, (q15_t)0xd4a6, (q15_t)0x786d, (q15_t)0xd4a0, + (q15_t)0x786b, (q15_t)0xd49a, (q15_t)0x7868, (q15_t)0xd494, (q15_t)0x7866, (q15_t)0xd48f, (q15_t)0x7864, (q15_t)0xd489, + (q15_t)0x7862, (q15_t)0xd483, (q15_t)0x7860, (q15_t)0xd47d, (q15_t)0x785e, (q15_t)0xd477, (q15_t)0x785c, (q15_t)0xd471, + (q15_t)0x7859, (q15_t)0xd46b, (q15_t)0x7857, (q15_t)0xd465, (q15_t)0x7855, (q15_t)0xd45f, (q15_t)0x7853, (q15_t)0xd459, + (q15_t)0x7851, (q15_t)0xd453, (q15_t)0x784f, (q15_t)0xd44e, (q15_t)0x784d, (q15_t)0xd448, (q15_t)0x784a, (q15_t)0xd442, + (q15_t)0x7848, (q15_t)0xd43c, (q15_t)0x7846, (q15_t)0xd436, (q15_t)0x7844, (q15_t)0xd430, (q15_t)0x7842, (q15_t)0xd42a, + (q15_t)0x7840, (q15_t)0xd424, (q15_t)0x783e, (q15_t)0xd41e, (q15_t)0x783b, (q15_t)0xd418, (q15_t)0x7839, (q15_t)0xd412, + (q15_t)0x7837, (q15_t)0xd40d, (q15_t)0x7835, (q15_t)0xd407, (q15_t)0x7833, (q15_t)0xd401, (q15_t)0x7831, (q15_t)0xd3fb, + (q15_t)0x782e, (q15_t)0xd3f5, (q15_t)0x782c, (q15_t)0xd3ef, (q15_t)0x782a, (q15_t)0xd3e9, (q15_t)0x7828, (q15_t)0xd3e3, + (q15_t)0x7826, (q15_t)0xd3dd, (q15_t)0x7824, (q15_t)0xd3d7, (q15_t)0x7821, (q15_t)0xd3d2, (q15_t)0x781f, (q15_t)0xd3cc, + (q15_t)0x781d, (q15_t)0xd3c6, (q15_t)0x781b, (q15_t)0xd3c0, (q15_t)0x7819, (q15_t)0xd3ba, (q15_t)0x7817, (q15_t)0xd3b4, + (q15_t)0x7814, (q15_t)0xd3ae, (q15_t)0x7812, (q15_t)0xd3a8, (q15_t)0x7810, (q15_t)0xd3a2, (q15_t)0x780e, (q15_t)0xd39d, + (q15_t)0x780c, (q15_t)0xd397, (q15_t)0x780a, (q15_t)0xd391, (q15_t)0x7807, (q15_t)0xd38b, (q15_t)0x7805, (q15_t)0xd385, + (q15_t)0x7803, (q15_t)0xd37f, (q15_t)0x7801, (q15_t)0xd379, (q15_t)0x77ff, (q15_t)0xd373, (q15_t)0x77fc, (q15_t)0xd36d, + (q15_t)0x77fa, (q15_t)0xd368, (q15_t)0x77f8, (q15_t)0xd362, (q15_t)0x77f6, (q15_t)0xd35c, (q15_t)0x77f4, (q15_t)0xd356, + (q15_t)0x77f1, (q15_t)0xd350, (q15_t)0x77ef, (q15_t)0xd34a, (q15_t)0x77ed, (q15_t)0xd344, (q15_t)0x77eb, (q15_t)0xd33e, + (q15_t)0x77e9, (q15_t)0xd338, (q15_t)0x77e6, (q15_t)0xd333, (q15_t)0x77e4, (q15_t)0xd32d, (q15_t)0x77e2, (q15_t)0xd327, + (q15_t)0x77e0, (q15_t)0xd321, (q15_t)0x77de, (q15_t)0xd31b, (q15_t)0x77db, (q15_t)0xd315, (q15_t)0x77d9, (q15_t)0xd30f, + (q15_t)0x77d7, (q15_t)0xd309, (q15_t)0x77d5, (q15_t)0xd303, (q15_t)0x77d3, (q15_t)0xd2fe, (q15_t)0x77d0, (q15_t)0xd2f8, + (q15_t)0x77ce, (q15_t)0xd2f2, (q15_t)0x77cc, (q15_t)0xd2ec, (q15_t)0x77ca, (q15_t)0xd2e6, (q15_t)0x77c8, (q15_t)0xd2e0, + (q15_t)0x77c5, (q15_t)0xd2da, (q15_t)0x77c3, (q15_t)0xd2d4, (q15_t)0x77c1, (q15_t)0xd2cf, (q15_t)0x77bf, (q15_t)0xd2c9, + (q15_t)0x77bc, (q15_t)0xd2c3, (q15_t)0x77ba, (q15_t)0xd2bd, (q15_t)0x77b8, (q15_t)0xd2b7, (q15_t)0x77b6, (q15_t)0xd2b1, + (q15_t)0x77b4, (q15_t)0xd2ab, (q15_t)0x77b1, (q15_t)0xd2a5, (q15_t)0x77af, (q15_t)0xd2a0, (q15_t)0x77ad, (q15_t)0xd29a, + (q15_t)0x77ab, (q15_t)0xd294, (q15_t)0x77a8, (q15_t)0xd28e, (q15_t)0x77a6, (q15_t)0xd288, (q15_t)0x77a4, (q15_t)0xd282, + (q15_t)0x77a2, (q15_t)0xd27c, (q15_t)0x77a0, (q15_t)0xd276, (q15_t)0x779d, (q15_t)0xd271, (q15_t)0x779b, (q15_t)0xd26b, + (q15_t)0x7799, (q15_t)0xd265, (q15_t)0x7797, (q15_t)0xd25f, (q15_t)0x7794, (q15_t)0xd259, (q15_t)0x7792, (q15_t)0xd253, + (q15_t)0x7790, (q15_t)0xd24d, (q15_t)0x778e, (q15_t)0xd247, (q15_t)0x778b, (q15_t)0xd242, (q15_t)0x7789, (q15_t)0xd23c, + (q15_t)0x7787, (q15_t)0xd236, (q15_t)0x7785, (q15_t)0xd230, (q15_t)0x7782, (q15_t)0xd22a, (q15_t)0x7780, (q15_t)0xd224, + (q15_t)0x777e, (q15_t)0xd21e, (q15_t)0x777c, (q15_t)0xd219, (q15_t)0x7779, (q15_t)0xd213, (q15_t)0x7777, (q15_t)0xd20d, + (q15_t)0x7775, (q15_t)0xd207, (q15_t)0x7773, (q15_t)0xd201, (q15_t)0x7770, (q15_t)0xd1fb, (q15_t)0x776e, (q15_t)0xd1f5, + (q15_t)0x776c, (q15_t)0xd1ef, (q15_t)0x776a, (q15_t)0xd1ea, (q15_t)0x7767, (q15_t)0xd1e4, (q15_t)0x7765, (q15_t)0xd1de, + (q15_t)0x7763, (q15_t)0xd1d8, (q15_t)0x7760, (q15_t)0xd1d2, (q15_t)0x775e, (q15_t)0xd1cc, (q15_t)0x775c, (q15_t)0xd1c6, + (q15_t)0x775a, (q15_t)0xd1c1, (q15_t)0x7757, (q15_t)0xd1bb, (q15_t)0x7755, (q15_t)0xd1b5, (q15_t)0x7753, (q15_t)0xd1af, + (q15_t)0x7751, (q15_t)0xd1a9, (q15_t)0x774e, (q15_t)0xd1a3, (q15_t)0x774c, (q15_t)0xd19d, (q15_t)0x774a, (q15_t)0xd198, + (q15_t)0x7747, (q15_t)0xd192, (q15_t)0x7745, (q15_t)0xd18c, (q15_t)0x7743, (q15_t)0xd186, (q15_t)0x7741, (q15_t)0xd180, + (q15_t)0x773e, (q15_t)0xd17a, (q15_t)0x773c, (q15_t)0xd174, (q15_t)0x773a, (q15_t)0xd16f, (q15_t)0x7738, (q15_t)0xd169, + (q15_t)0x7735, (q15_t)0xd163, (q15_t)0x7733, (q15_t)0xd15d, (q15_t)0x7731, (q15_t)0xd157, (q15_t)0x772e, (q15_t)0xd151, + (q15_t)0x772c, (q15_t)0xd14b, (q15_t)0x772a, (q15_t)0xd146, (q15_t)0x7727, (q15_t)0xd140, (q15_t)0x7725, (q15_t)0xd13a, + (q15_t)0x7723, (q15_t)0xd134, (q15_t)0x7721, (q15_t)0xd12e, (q15_t)0x771e, (q15_t)0xd128, (q15_t)0x771c, (q15_t)0xd123, + (q15_t)0x771a, (q15_t)0xd11d, (q15_t)0x7717, (q15_t)0xd117, (q15_t)0x7715, (q15_t)0xd111, (q15_t)0x7713, (q15_t)0xd10b, + (q15_t)0x7710, (q15_t)0xd105, (q15_t)0x770e, (q15_t)0xd0ff, (q15_t)0x770c, (q15_t)0xd0fa, (q15_t)0x770a, (q15_t)0xd0f4, + (q15_t)0x7707, (q15_t)0xd0ee, (q15_t)0x7705, (q15_t)0xd0e8, (q15_t)0x7703, (q15_t)0xd0e2, (q15_t)0x7700, (q15_t)0xd0dc, + (q15_t)0x76fe, (q15_t)0xd0d7, (q15_t)0x76fc, (q15_t)0xd0d1, (q15_t)0x76f9, (q15_t)0xd0cb, (q15_t)0x76f7, (q15_t)0xd0c5, + (q15_t)0x76f5, (q15_t)0xd0bf, (q15_t)0x76f2, (q15_t)0xd0b9, (q15_t)0x76f0, (q15_t)0xd0b4, (q15_t)0x76ee, (q15_t)0xd0ae, + (q15_t)0x76eb, (q15_t)0xd0a8, (q15_t)0x76e9, (q15_t)0xd0a2, (q15_t)0x76e7, (q15_t)0xd09c, (q15_t)0x76e4, (q15_t)0xd096, + (q15_t)0x76e2, (q15_t)0xd091, (q15_t)0x76e0, (q15_t)0xd08b, (q15_t)0x76dd, (q15_t)0xd085, (q15_t)0x76db, (q15_t)0xd07f, + (q15_t)0x76d9, (q15_t)0xd079, (q15_t)0x76d6, (q15_t)0xd073, (q15_t)0x76d4, (q15_t)0xd06e, (q15_t)0x76d2, (q15_t)0xd068, + (q15_t)0x76cf, (q15_t)0xd062, (q15_t)0x76cd, (q15_t)0xd05c, (q15_t)0x76cb, (q15_t)0xd056, (q15_t)0x76c8, (q15_t)0xd050, + (q15_t)0x76c6, (q15_t)0xd04b, (q15_t)0x76c4, (q15_t)0xd045, (q15_t)0x76c1, (q15_t)0xd03f, (q15_t)0x76bf, (q15_t)0xd039, + (q15_t)0x76bd, (q15_t)0xd033, (q15_t)0x76ba, (q15_t)0xd02d, (q15_t)0x76b8, (q15_t)0xd028, (q15_t)0x76b6, (q15_t)0xd022, + (q15_t)0x76b3, (q15_t)0xd01c, (q15_t)0x76b1, (q15_t)0xd016, (q15_t)0x76af, (q15_t)0xd010, (q15_t)0x76ac, (q15_t)0xd00a, + (q15_t)0x76aa, (q15_t)0xd005, (q15_t)0x76a8, (q15_t)0xcfff, (q15_t)0x76a5, (q15_t)0xcff9, (q15_t)0x76a3, (q15_t)0xcff3, + (q15_t)0x76a0, (q15_t)0xcfed, (q15_t)0x769e, (q15_t)0xcfe7, (q15_t)0x769c, (q15_t)0xcfe2, (q15_t)0x7699, (q15_t)0xcfdc, + (q15_t)0x7697, (q15_t)0xcfd6, (q15_t)0x7695, (q15_t)0xcfd0, (q15_t)0x7692, (q15_t)0xcfca, (q15_t)0x7690, (q15_t)0xcfc5, + (q15_t)0x768e, (q15_t)0xcfbf, (q15_t)0x768b, (q15_t)0xcfb9, (q15_t)0x7689, (q15_t)0xcfb3, (q15_t)0x7686, (q15_t)0xcfad, + (q15_t)0x7684, (q15_t)0xcfa7, (q15_t)0x7682, (q15_t)0xcfa2, (q15_t)0x767f, (q15_t)0xcf9c, (q15_t)0x767d, (q15_t)0xcf96, + (q15_t)0x767b, (q15_t)0xcf90, (q15_t)0x7678, (q15_t)0xcf8a, (q15_t)0x7676, (q15_t)0xcf85, (q15_t)0x7673, (q15_t)0xcf7f, + (q15_t)0x7671, (q15_t)0xcf79, (q15_t)0x766f, (q15_t)0xcf73, (q15_t)0x766c, (q15_t)0xcf6d, (q15_t)0x766a, (q15_t)0xcf67, + (q15_t)0x7668, (q15_t)0xcf62, (q15_t)0x7665, (q15_t)0xcf5c, (q15_t)0x7663, (q15_t)0xcf56, (q15_t)0x7660, (q15_t)0xcf50, + (q15_t)0x765e, (q15_t)0xcf4a, (q15_t)0x765c, (q15_t)0xcf45, (q15_t)0x7659, (q15_t)0xcf3f, (q15_t)0x7657, (q15_t)0xcf39, + (q15_t)0x7654, (q15_t)0xcf33, (q15_t)0x7652, (q15_t)0xcf2d, (q15_t)0x7650, (q15_t)0xcf28, (q15_t)0x764d, (q15_t)0xcf22, + (q15_t)0x764b, (q15_t)0xcf1c, (q15_t)0x7648, (q15_t)0xcf16, (q15_t)0x7646, (q15_t)0xcf10, (q15_t)0x7644, (q15_t)0xcf0b, + (q15_t)0x7641, (q15_t)0xcf05, (q15_t)0x763f, (q15_t)0xceff, (q15_t)0x763c, (q15_t)0xcef9, (q15_t)0x763a, (q15_t)0xcef3, + (q15_t)0x7638, (q15_t)0xceee, (q15_t)0x7635, (q15_t)0xcee8, (q15_t)0x7633, (q15_t)0xcee2, (q15_t)0x7630, (q15_t)0xcedc, + (q15_t)0x762e, (q15_t)0xced6, (q15_t)0x762b, (q15_t)0xced1, (q15_t)0x7629, (q15_t)0xcecb, (q15_t)0x7627, (q15_t)0xcec5, + (q15_t)0x7624, (q15_t)0xcebf, (q15_t)0x7622, (q15_t)0xceb9, (q15_t)0x761f, (q15_t)0xceb4, (q15_t)0x761d, (q15_t)0xceae, + (q15_t)0x761b, (q15_t)0xcea8, (q15_t)0x7618, (q15_t)0xcea2, (q15_t)0x7616, (q15_t)0xce9c, (q15_t)0x7613, (q15_t)0xce97, + (q15_t)0x7611, (q15_t)0xce91, (q15_t)0x760e, (q15_t)0xce8b, (q15_t)0x760c, (q15_t)0xce85, (q15_t)0x760a, (q15_t)0xce7f, + (q15_t)0x7607, (q15_t)0xce7a, (q15_t)0x7605, (q15_t)0xce74, (q15_t)0x7602, (q15_t)0xce6e, (q15_t)0x7600, (q15_t)0xce68, + (q15_t)0x75fd, (q15_t)0xce62, (q15_t)0x75fb, (q15_t)0xce5d, (q15_t)0x75f9, (q15_t)0xce57, (q15_t)0x75f6, (q15_t)0xce51, + (q15_t)0x75f4, (q15_t)0xce4b, (q15_t)0x75f1, (q15_t)0xce45, (q15_t)0x75ef, (q15_t)0xce40, (q15_t)0x75ec, (q15_t)0xce3a, + (q15_t)0x75ea, (q15_t)0xce34, (q15_t)0x75e7, (q15_t)0xce2e, (q15_t)0x75e5, (q15_t)0xce28, (q15_t)0x75e3, (q15_t)0xce23, + (q15_t)0x75e0, (q15_t)0xce1d, (q15_t)0x75de, (q15_t)0xce17, (q15_t)0x75db, (q15_t)0xce11, (q15_t)0x75d9, (q15_t)0xce0c, + (q15_t)0x75d6, (q15_t)0xce06, (q15_t)0x75d4, (q15_t)0xce00, (q15_t)0x75d1, (q15_t)0xcdfa, (q15_t)0x75cf, (q15_t)0xcdf4, + (q15_t)0x75cc, (q15_t)0xcdef, (q15_t)0x75ca, (q15_t)0xcde9, (q15_t)0x75c8, (q15_t)0xcde3, (q15_t)0x75c5, (q15_t)0xcddd, + (q15_t)0x75c3, (q15_t)0xcdd8, (q15_t)0x75c0, (q15_t)0xcdd2, (q15_t)0x75be, (q15_t)0xcdcc, (q15_t)0x75bb, (q15_t)0xcdc6, + (q15_t)0x75b9, (q15_t)0xcdc0, (q15_t)0x75b6, (q15_t)0xcdbb, (q15_t)0x75b4, (q15_t)0xcdb5, (q15_t)0x75b1, (q15_t)0xcdaf, + (q15_t)0x75af, (q15_t)0xcda9, (q15_t)0x75ac, (q15_t)0xcda3, (q15_t)0x75aa, (q15_t)0xcd9e, (q15_t)0x75a7, (q15_t)0xcd98, + (q15_t)0x75a5, (q15_t)0xcd92, (q15_t)0x75a3, (q15_t)0xcd8c, (q15_t)0x75a0, (q15_t)0xcd87, (q15_t)0x759e, (q15_t)0xcd81, + (q15_t)0x759b, (q15_t)0xcd7b, (q15_t)0x7599, (q15_t)0xcd75, (q15_t)0x7596, (q15_t)0xcd70, (q15_t)0x7594, (q15_t)0xcd6a, + (q15_t)0x7591, (q15_t)0xcd64, (q15_t)0x758f, (q15_t)0xcd5e, (q15_t)0x758c, (q15_t)0xcd58, (q15_t)0x758a, (q15_t)0xcd53, + (q15_t)0x7587, (q15_t)0xcd4d, (q15_t)0x7585, (q15_t)0xcd47, (q15_t)0x7582, (q15_t)0xcd41, (q15_t)0x7580, (q15_t)0xcd3c, + (q15_t)0x757d, (q15_t)0xcd36, (q15_t)0x757b, (q15_t)0xcd30, (q15_t)0x7578, (q15_t)0xcd2a, (q15_t)0x7576, (q15_t)0xcd25, + (q15_t)0x7573, (q15_t)0xcd1f, (q15_t)0x7571, (q15_t)0xcd19, (q15_t)0x756e, (q15_t)0xcd13, (q15_t)0x756c, (q15_t)0xcd0d, + (q15_t)0x7569, (q15_t)0xcd08, (q15_t)0x7567, (q15_t)0xcd02, (q15_t)0x7564, (q15_t)0xccfc, (q15_t)0x7562, (q15_t)0xccf6, + (q15_t)0x755f, (q15_t)0xccf1, (q15_t)0x755d, (q15_t)0xcceb, (q15_t)0x755a, (q15_t)0xcce5, (q15_t)0x7558, (q15_t)0xccdf, + (q15_t)0x7555, (q15_t)0xccda, (q15_t)0x7553, (q15_t)0xccd4, (q15_t)0x7550, (q15_t)0xccce, (q15_t)0x754e, (q15_t)0xccc8, + (q15_t)0x754b, (q15_t)0xccc3, (q15_t)0x7549, (q15_t)0xccbd, (q15_t)0x7546, (q15_t)0xccb7, (q15_t)0x7544, (q15_t)0xccb1, + (q15_t)0x7541, (q15_t)0xccac, (q15_t)0x753f, (q15_t)0xcca6, (q15_t)0x753c, (q15_t)0xcca0, (q15_t)0x753a, (q15_t)0xcc9a, + (q15_t)0x7537, (q15_t)0xcc95, (q15_t)0x7535, (q15_t)0xcc8f, (q15_t)0x7532, (q15_t)0xcc89, (q15_t)0x752f, (q15_t)0xcc83, + (q15_t)0x752d, (q15_t)0xcc7e, (q15_t)0x752a, (q15_t)0xcc78, (q15_t)0x7528, (q15_t)0xcc72, (q15_t)0x7525, (q15_t)0xcc6c, + (q15_t)0x7523, (q15_t)0xcc67, (q15_t)0x7520, (q15_t)0xcc61, (q15_t)0x751e, (q15_t)0xcc5b, (q15_t)0x751b, (q15_t)0xcc55, + (q15_t)0x7519, (q15_t)0xcc50, (q15_t)0x7516, (q15_t)0xcc4a, (q15_t)0x7514, (q15_t)0xcc44, (q15_t)0x7511, (q15_t)0xcc3e, + (q15_t)0x750f, (q15_t)0xcc39, (q15_t)0x750c, (q15_t)0xcc33, (q15_t)0x7509, (q15_t)0xcc2d, (q15_t)0x7507, (q15_t)0xcc27, + (q15_t)0x7504, (q15_t)0xcc22, (q15_t)0x7502, (q15_t)0xcc1c, (q15_t)0x74ff, (q15_t)0xcc16, (q15_t)0x74fd, (q15_t)0xcc10, + (q15_t)0x74fa, (q15_t)0xcc0b, (q15_t)0x74f8, (q15_t)0xcc05, (q15_t)0x74f5, (q15_t)0xcbff, (q15_t)0x74f2, (q15_t)0xcbf9, + (q15_t)0x74f0, (q15_t)0xcbf4, (q15_t)0x74ed, (q15_t)0xcbee, (q15_t)0x74eb, (q15_t)0xcbe8, (q15_t)0x74e8, (q15_t)0xcbe2, + (q15_t)0x74e6, (q15_t)0xcbdd, (q15_t)0x74e3, (q15_t)0xcbd7, (q15_t)0x74e1, (q15_t)0xcbd1, (q15_t)0x74de, (q15_t)0xcbcb, + (q15_t)0x74db, (q15_t)0xcbc6, (q15_t)0x74d9, (q15_t)0xcbc0, (q15_t)0x74d6, (q15_t)0xcbba, (q15_t)0x74d4, (q15_t)0xcbb5, + (q15_t)0x74d1, (q15_t)0xcbaf, (q15_t)0x74cf, (q15_t)0xcba9, (q15_t)0x74cc, (q15_t)0xcba3, (q15_t)0x74c9, (q15_t)0xcb9e, + (q15_t)0x74c7, (q15_t)0xcb98, (q15_t)0x74c4, (q15_t)0xcb92, (q15_t)0x74c2, (q15_t)0xcb8c, (q15_t)0x74bf, (q15_t)0xcb87, + (q15_t)0x74bd, (q15_t)0xcb81, (q15_t)0x74ba, (q15_t)0xcb7b, (q15_t)0x74b7, (q15_t)0xcb75, (q15_t)0x74b5, (q15_t)0xcb70, + (q15_t)0x74b2, (q15_t)0xcb6a, (q15_t)0x74b0, (q15_t)0xcb64, (q15_t)0x74ad, (q15_t)0xcb5f, (q15_t)0x74ab, (q15_t)0xcb59, + (q15_t)0x74a8, (q15_t)0xcb53, (q15_t)0x74a5, (q15_t)0xcb4d, (q15_t)0x74a3, (q15_t)0xcb48, (q15_t)0x74a0, (q15_t)0xcb42, + (q15_t)0x749e, (q15_t)0xcb3c, (q15_t)0x749b, (q15_t)0xcb36, (q15_t)0x7498, (q15_t)0xcb31, (q15_t)0x7496, (q15_t)0xcb2b, + (q15_t)0x7493, (q15_t)0xcb25, (q15_t)0x7491, (q15_t)0xcb20, (q15_t)0x748e, (q15_t)0xcb1a, (q15_t)0x748b, (q15_t)0xcb14, + (q15_t)0x7489, (q15_t)0xcb0e, (q15_t)0x7486, (q15_t)0xcb09, (q15_t)0x7484, (q15_t)0xcb03, (q15_t)0x7481, (q15_t)0xcafd, + (q15_t)0x747e, (q15_t)0xcaf8, (q15_t)0x747c, (q15_t)0xcaf2, (q15_t)0x7479, (q15_t)0xcaec, (q15_t)0x7477, (q15_t)0xcae6, + (q15_t)0x7474, (q15_t)0xcae1, (q15_t)0x7471, (q15_t)0xcadb, (q15_t)0x746f, (q15_t)0xcad5, (q15_t)0x746c, (q15_t)0xcad0, + (q15_t)0x746a, (q15_t)0xcaca, (q15_t)0x7467, (q15_t)0xcac4, (q15_t)0x7464, (q15_t)0xcabe, (q15_t)0x7462, (q15_t)0xcab9, + (q15_t)0x745f, (q15_t)0xcab3, (q15_t)0x745c, (q15_t)0xcaad, (q15_t)0x745a, (q15_t)0xcaa8, (q15_t)0x7457, (q15_t)0xcaa2, + (q15_t)0x7455, (q15_t)0xca9c, (q15_t)0x7452, (q15_t)0xca96, (q15_t)0x744f, (q15_t)0xca91, (q15_t)0x744d, (q15_t)0xca8b, + (q15_t)0x744a, (q15_t)0xca85, (q15_t)0x7448, (q15_t)0xca80, (q15_t)0x7445, (q15_t)0xca7a, (q15_t)0x7442, (q15_t)0xca74, + (q15_t)0x7440, (q15_t)0xca6e, (q15_t)0x743d, (q15_t)0xca69, (q15_t)0x743a, (q15_t)0xca63, (q15_t)0x7438, (q15_t)0xca5d, + (q15_t)0x7435, (q15_t)0xca58, (q15_t)0x7432, (q15_t)0xca52, (q15_t)0x7430, (q15_t)0xca4c, (q15_t)0x742d, (q15_t)0xca46, + (q15_t)0x742b, (q15_t)0xca41, (q15_t)0x7428, (q15_t)0xca3b, (q15_t)0x7425, (q15_t)0xca35, (q15_t)0x7423, (q15_t)0xca30, + (q15_t)0x7420, (q15_t)0xca2a, (q15_t)0x741d, (q15_t)0xca24, (q15_t)0x741b, (q15_t)0xca1f, (q15_t)0x7418, (q15_t)0xca19, + (q15_t)0x7415, (q15_t)0xca13, (q15_t)0x7413, (q15_t)0xca0d, (q15_t)0x7410, (q15_t)0xca08, (q15_t)0x740d, (q15_t)0xca02, + (q15_t)0x740b, (q15_t)0xc9fc, (q15_t)0x7408, (q15_t)0xc9f7, (q15_t)0x7406, (q15_t)0xc9f1, (q15_t)0x7403, (q15_t)0xc9eb, + (q15_t)0x7400, (q15_t)0xc9e6, (q15_t)0x73fe, (q15_t)0xc9e0, (q15_t)0x73fb, (q15_t)0xc9da, (q15_t)0x73f8, (q15_t)0xc9d5, + (q15_t)0x73f6, (q15_t)0xc9cf, (q15_t)0x73f3, (q15_t)0xc9c9, (q15_t)0x73f0, (q15_t)0xc9c3, (q15_t)0x73ee, (q15_t)0xc9be, + (q15_t)0x73eb, (q15_t)0xc9b8, (q15_t)0x73e8, (q15_t)0xc9b2, (q15_t)0x73e6, (q15_t)0xc9ad, (q15_t)0x73e3, (q15_t)0xc9a7, + (q15_t)0x73e0, (q15_t)0xc9a1, (q15_t)0x73de, (q15_t)0xc99c, (q15_t)0x73db, (q15_t)0xc996, (q15_t)0x73d8, (q15_t)0xc990, + (q15_t)0x73d6, (q15_t)0xc98b, (q15_t)0x73d3, (q15_t)0xc985, (q15_t)0x73d0, (q15_t)0xc97f, (q15_t)0x73ce, (q15_t)0xc97a, + (q15_t)0x73cb, (q15_t)0xc974, (q15_t)0x73c8, (q15_t)0xc96e, (q15_t)0x73c6, (q15_t)0xc968, (q15_t)0x73c3, (q15_t)0xc963, + (q15_t)0x73c0, (q15_t)0xc95d, (q15_t)0x73bd, (q15_t)0xc957, (q15_t)0x73bb, (q15_t)0xc952, (q15_t)0x73b8, (q15_t)0xc94c, + (q15_t)0x73b5, (q15_t)0xc946, (q15_t)0x73b3, (q15_t)0xc941, (q15_t)0x73b0, (q15_t)0xc93b, (q15_t)0x73ad, (q15_t)0xc935, + (q15_t)0x73ab, (q15_t)0xc930, (q15_t)0x73a8, (q15_t)0xc92a, (q15_t)0x73a5, (q15_t)0xc924, (q15_t)0x73a3, (q15_t)0xc91f, + (q15_t)0x73a0, (q15_t)0xc919, (q15_t)0x739d, (q15_t)0xc913, (q15_t)0x739b, (q15_t)0xc90e, (q15_t)0x7398, (q15_t)0xc908, + (q15_t)0x7395, (q15_t)0xc902, (q15_t)0x7392, (q15_t)0xc8fd, (q15_t)0x7390, (q15_t)0xc8f7, (q15_t)0x738d, (q15_t)0xc8f1, + (q15_t)0x738a, (q15_t)0xc8ec, (q15_t)0x7388, (q15_t)0xc8e6, (q15_t)0x7385, (q15_t)0xc8e0, (q15_t)0x7382, (q15_t)0xc8db, + (q15_t)0x737f, (q15_t)0xc8d5, (q15_t)0x737d, (q15_t)0xc8cf, (q15_t)0x737a, (q15_t)0xc8ca, (q15_t)0x7377, (q15_t)0xc8c4, + (q15_t)0x7375, (q15_t)0xc8be, (q15_t)0x7372, (q15_t)0xc8b9, (q15_t)0x736f, (q15_t)0xc8b3, (q15_t)0x736c, (q15_t)0xc8ad, + (q15_t)0x736a, (q15_t)0xc8a8, (q15_t)0x7367, (q15_t)0xc8a2, (q15_t)0x7364, (q15_t)0xc89c, (q15_t)0x7362, (q15_t)0xc897, + (q15_t)0x735f, (q15_t)0xc891, (q15_t)0x735c, (q15_t)0xc88b, (q15_t)0x7359, (q15_t)0xc886, (q15_t)0x7357, (q15_t)0xc880, + (q15_t)0x7354, (q15_t)0xc87a, (q15_t)0x7351, (q15_t)0xc875, (q15_t)0x734f, (q15_t)0xc86f, (q15_t)0x734c, (q15_t)0xc869, + (q15_t)0x7349, (q15_t)0xc864, (q15_t)0x7346, (q15_t)0xc85e, (q15_t)0x7344, (q15_t)0xc858, (q15_t)0x7341, (q15_t)0xc853, + (q15_t)0x733e, (q15_t)0xc84d, (q15_t)0x733b, (q15_t)0xc847, (q15_t)0x7339, (q15_t)0xc842, (q15_t)0x7336, (q15_t)0xc83c, + (q15_t)0x7333, (q15_t)0xc836, (q15_t)0x7330, (q15_t)0xc831, (q15_t)0x732e, (q15_t)0xc82b, (q15_t)0x732b, (q15_t)0xc825, + (q15_t)0x7328, (q15_t)0xc820, (q15_t)0x7326, (q15_t)0xc81a, (q15_t)0x7323, (q15_t)0xc814, (q15_t)0x7320, (q15_t)0xc80f, + (q15_t)0x731d, (q15_t)0xc809, (q15_t)0x731b, (q15_t)0xc803, (q15_t)0x7318, (q15_t)0xc7fe, (q15_t)0x7315, (q15_t)0xc7f8, + (q15_t)0x7312, (q15_t)0xc7f3, (q15_t)0x7310, (q15_t)0xc7ed, (q15_t)0x730d, (q15_t)0xc7e7, (q15_t)0x730a, (q15_t)0xc7e2, + (q15_t)0x7307, (q15_t)0xc7dc, (q15_t)0x7305, (q15_t)0xc7d6, (q15_t)0x7302, (q15_t)0xc7d1, (q15_t)0x72ff, (q15_t)0xc7cb, + (q15_t)0x72fc, (q15_t)0xc7c5, (q15_t)0x72f9, (q15_t)0xc7c0, (q15_t)0x72f7, (q15_t)0xc7ba, (q15_t)0x72f4, (q15_t)0xc7b4, + (q15_t)0x72f1, (q15_t)0xc7af, (q15_t)0x72ee, (q15_t)0xc7a9, (q15_t)0x72ec, (q15_t)0xc7a3, (q15_t)0x72e9, (q15_t)0xc79e, + (q15_t)0x72e6, (q15_t)0xc798, (q15_t)0x72e3, (q15_t)0xc793, (q15_t)0x72e1, (q15_t)0xc78d, (q15_t)0x72de, (q15_t)0xc787, + (q15_t)0x72db, (q15_t)0xc782, (q15_t)0x72d8, (q15_t)0xc77c, (q15_t)0x72d5, (q15_t)0xc776, (q15_t)0x72d3, (q15_t)0xc771, + (q15_t)0x72d0, (q15_t)0xc76b, (q15_t)0x72cd, (q15_t)0xc765, (q15_t)0x72ca, (q15_t)0xc760, (q15_t)0x72c8, (q15_t)0xc75a, + (q15_t)0x72c5, (q15_t)0xc755, (q15_t)0x72c2, (q15_t)0xc74f, (q15_t)0x72bf, (q15_t)0xc749, (q15_t)0x72bc, (q15_t)0xc744, + (q15_t)0x72ba, (q15_t)0xc73e, (q15_t)0x72b7, (q15_t)0xc738, (q15_t)0x72b4, (q15_t)0xc733, (q15_t)0x72b1, (q15_t)0xc72d, + (q15_t)0x72af, (q15_t)0xc728, (q15_t)0x72ac, (q15_t)0xc722, (q15_t)0x72a9, (q15_t)0xc71c, (q15_t)0x72a6, (q15_t)0xc717, + (q15_t)0x72a3, (q15_t)0xc711, (q15_t)0x72a1, (q15_t)0xc70b, (q15_t)0x729e, (q15_t)0xc706, (q15_t)0x729b, (q15_t)0xc700, + (q15_t)0x7298, (q15_t)0xc6fa, (q15_t)0x7295, (q15_t)0xc6f5, (q15_t)0x7293, (q15_t)0xc6ef, (q15_t)0x7290, (q15_t)0xc6ea, + (q15_t)0x728d, (q15_t)0xc6e4, (q15_t)0x728a, (q15_t)0xc6de, (q15_t)0x7287, (q15_t)0xc6d9, (q15_t)0x7285, (q15_t)0xc6d3, + (q15_t)0x7282, (q15_t)0xc6ce, (q15_t)0x727f, (q15_t)0xc6c8, (q15_t)0x727c, (q15_t)0xc6c2, (q15_t)0x7279, (q15_t)0xc6bd, + (q15_t)0x7276, (q15_t)0xc6b7, (q15_t)0x7274, (q15_t)0xc6b1, (q15_t)0x7271, (q15_t)0xc6ac, (q15_t)0x726e, (q15_t)0xc6a6, + (q15_t)0x726b, (q15_t)0xc6a1, (q15_t)0x7268, (q15_t)0xc69b, (q15_t)0x7266, (q15_t)0xc695, (q15_t)0x7263, (q15_t)0xc690, + (q15_t)0x7260, (q15_t)0xc68a, (q15_t)0x725d, (q15_t)0xc684, (q15_t)0x725a, (q15_t)0xc67f, (q15_t)0x7257, (q15_t)0xc679, + (q15_t)0x7255, (q15_t)0xc674, (q15_t)0x7252, (q15_t)0xc66e, (q15_t)0x724f, (q15_t)0xc668, (q15_t)0x724c, (q15_t)0xc663, + (q15_t)0x7249, (q15_t)0xc65d, (q15_t)0x7247, (q15_t)0xc658, (q15_t)0x7244, (q15_t)0xc652, (q15_t)0x7241, (q15_t)0xc64c, + (q15_t)0x723e, (q15_t)0xc647, (q15_t)0x723b, (q15_t)0xc641, (q15_t)0x7238, (q15_t)0xc63c, (q15_t)0x7236, (q15_t)0xc636, + (q15_t)0x7233, (q15_t)0xc630, (q15_t)0x7230, (q15_t)0xc62b, (q15_t)0x722d, (q15_t)0xc625, (q15_t)0x722a, (q15_t)0xc620, + (q15_t)0x7227, (q15_t)0xc61a, (q15_t)0x7224, (q15_t)0xc614, (q15_t)0x7222, (q15_t)0xc60f, (q15_t)0x721f, (q15_t)0xc609, + (q15_t)0x721c, (q15_t)0xc603, (q15_t)0x7219, (q15_t)0xc5fe, (q15_t)0x7216, (q15_t)0xc5f8, (q15_t)0x7213, (q15_t)0xc5f3, + (q15_t)0x7211, (q15_t)0xc5ed, (q15_t)0x720e, (q15_t)0xc5e7, (q15_t)0x720b, (q15_t)0xc5e2, (q15_t)0x7208, (q15_t)0xc5dc, + (q15_t)0x7205, (q15_t)0xc5d7, (q15_t)0x7202, (q15_t)0xc5d1, (q15_t)0x71ff, (q15_t)0xc5cc, (q15_t)0x71fd, (q15_t)0xc5c6, + (q15_t)0x71fa, (q15_t)0xc5c0, (q15_t)0x71f7, (q15_t)0xc5bb, (q15_t)0x71f4, (q15_t)0xc5b5, (q15_t)0x71f1, (q15_t)0xc5b0, + (q15_t)0x71ee, (q15_t)0xc5aa, (q15_t)0x71eb, (q15_t)0xc5a4, (q15_t)0x71e9, (q15_t)0xc59f, (q15_t)0x71e6, (q15_t)0xc599, + (q15_t)0x71e3, (q15_t)0xc594, (q15_t)0x71e0, (q15_t)0xc58e, (q15_t)0x71dd, (q15_t)0xc588, (q15_t)0x71da, (q15_t)0xc583, + (q15_t)0x71d7, (q15_t)0xc57d, (q15_t)0x71d4, (q15_t)0xc578, (q15_t)0x71d2, (q15_t)0xc572, (q15_t)0x71cf, (q15_t)0xc56c, + (q15_t)0x71cc, (q15_t)0xc567, (q15_t)0x71c9, (q15_t)0xc561, (q15_t)0x71c6, (q15_t)0xc55c, (q15_t)0x71c3, (q15_t)0xc556, + (q15_t)0x71c0, (q15_t)0xc551, (q15_t)0x71bd, (q15_t)0xc54b, (q15_t)0x71bb, (q15_t)0xc545, (q15_t)0x71b8, (q15_t)0xc540, + (q15_t)0x71b5, (q15_t)0xc53a, (q15_t)0x71b2, (q15_t)0xc535, (q15_t)0x71af, (q15_t)0xc52f, (q15_t)0x71ac, (q15_t)0xc529, + (q15_t)0x71a9, (q15_t)0xc524, (q15_t)0x71a6, (q15_t)0xc51e, (q15_t)0x71a3, (q15_t)0xc519, (q15_t)0x71a1, (q15_t)0xc513, + (q15_t)0x719e, (q15_t)0xc50e, (q15_t)0x719b, (q15_t)0xc508, (q15_t)0x7198, (q15_t)0xc502, (q15_t)0x7195, (q15_t)0xc4fd, + (q15_t)0x7192, (q15_t)0xc4f7, (q15_t)0x718f, (q15_t)0xc4f2, (q15_t)0x718c, (q15_t)0xc4ec, (q15_t)0x7189, (q15_t)0xc4e7, + (q15_t)0x7186, (q15_t)0xc4e1, (q15_t)0x7184, (q15_t)0xc4db, (q15_t)0x7181, (q15_t)0xc4d6, (q15_t)0x717e, (q15_t)0xc4d0, + (q15_t)0x717b, (q15_t)0xc4cb, (q15_t)0x7178, (q15_t)0xc4c5, (q15_t)0x7175, (q15_t)0xc4c0, (q15_t)0x7172, (q15_t)0xc4ba, + (q15_t)0x716f, (q15_t)0xc4b4, (q15_t)0x716c, (q15_t)0xc4af, (q15_t)0x7169, (q15_t)0xc4a9, (q15_t)0x7167, (q15_t)0xc4a4, + (q15_t)0x7164, (q15_t)0xc49e, (q15_t)0x7161, (q15_t)0xc499, (q15_t)0x715e, (q15_t)0xc493, (q15_t)0x715b, (q15_t)0xc48d, + (q15_t)0x7158, (q15_t)0xc488, (q15_t)0x7155, (q15_t)0xc482, (q15_t)0x7152, (q15_t)0xc47d, (q15_t)0x714f, (q15_t)0xc477, + (q15_t)0x714c, (q15_t)0xc472, (q15_t)0x7149, (q15_t)0xc46c, (q15_t)0x7146, (q15_t)0xc467, (q15_t)0x7143, (q15_t)0xc461, + (q15_t)0x7141, (q15_t)0xc45b, (q15_t)0x713e, (q15_t)0xc456, (q15_t)0x713b, (q15_t)0xc450, (q15_t)0x7138, (q15_t)0xc44b, + (q15_t)0x7135, (q15_t)0xc445, (q15_t)0x7132, (q15_t)0xc440, (q15_t)0x712f, (q15_t)0xc43a, (q15_t)0x712c, (q15_t)0xc434, + (q15_t)0x7129, (q15_t)0xc42f, (q15_t)0x7126, (q15_t)0xc429, (q15_t)0x7123, (q15_t)0xc424, (q15_t)0x7120, (q15_t)0xc41e, + (q15_t)0x711d, (q15_t)0xc419, (q15_t)0x711a, (q15_t)0xc413, (q15_t)0x7117, (q15_t)0xc40e, (q15_t)0x7114, (q15_t)0xc408, + (q15_t)0x7112, (q15_t)0xc403, (q15_t)0x710f, (q15_t)0xc3fd, (q15_t)0x710c, (q15_t)0xc3f7, (q15_t)0x7109, (q15_t)0xc3f2, + (q15_t)0x7106, (q15_t)0xc3ec, (q15_t)0x7103, (q15_t)0xc3e7, (q15_t)0x7100, (q15_t)0xc3e1, (q15_t)0x70fd, (q15_t)0xc3dc, + (q15_t)0x70fa, (q15_t)0xc3d6, (q15_t)0x70f7, (q15_t)0xc3d1, (q15_t)0x70f4, (q15_t)0xc3cb, (q15_t)0x70f1, (q15_t)0xc3c5, + (q15_t)0x70ee, (q15_t)0xc3c0, (q15_t)0x70eb, (q15_t)0xc3ba, (q15_t)0x70e8, (q15_t)0xc3b5, (q15_t)0x70e5, (q15_t)0xc3af, + (q15_t)0x70e2, (q15_t)0xc3aa, (q15_t)0x70df, (q15_t)0xc3a4, (q15_t)0x70dc, (q15_t)0xc39f, (q15_t)0x70d9, (q15_t)0xc399, + (q15_t)0x70d6, (q15_t)0xc394, (q15_t)0x70d3, (q15_t)0xc38e, (q15_t)0x70d1, (q15_t)0xc389, (q15_t)0x70ce, (q15_t)0xc383, + (q15_t)0x70cb, (q15_t)0xc37d, (q15_t)0x70c8, (q15_t)0xc378, (q15_t)0x70c5, (q15_t)0xc372, (q15_t)0x70c2, (q15_t)0xc36d, + (q15_t)0x70bf, (q15_t)0xc367, (q15_t)0x70bc, (q15_t)0xc362, (q15_t)0x70b9, (q15_t)0xc35c, (q15_t)0x70b6, (q15_t)0xc357, + (q15_t)0x70b3, (q15_t)0xc351, (q15_t)0x70b0, (q15_t)0xc34c, (q15_t)0x70ad, (q15_t)0xc346, (q15_t)0x70aa, (q15_t)0xc341, + (q15_t)0x70a7, (q15_t)0xc33b, (q15_t)0x70a4, (q15_t)0xc336, (q15_t)0x70a1, (q15_t)0xc330, (q15_t)0x709e, (q15_t)0xc32a, + (q15_t)0x709b, (q15_t)0xc325, (q15_t)0x7098, (q15_t)0xc31f, (q15_t)0x7095, (q15_t)0xc31a, (q15_t)0x7092, (q15_t)0xc314, + (q15_t)0x708f, (q15_t)0xc30f, (q15_t)0x708c, (q15_t)0xc309, (q15_t)0x7089, (q15_t)0xc304, (q15_t)0x7086, (q15_t)0xc2fe, + (q15_t)0x7083, (q15_t)0xc2f9, (q15_t)0x7080, (q15_t)0xc2f3, (q15_t)0x707d, (q15_t)0xc2ee, (q15_t)0x707a, (q15_t)0xc2e8, + (q15_t)0x7077, (q15_t)0xc2e3, (q15_t)0x7074, (q15_t)0xc2dd, (q15_t)0x7071, (q15_t)0xc2d8, (q15_t)0x706e, (q15_t)0xc2d2, + (q15_t)0x706b, (q15_t)0xc2cd, (q15_t)0x7068, (q15_t)0xc2c7, (q15_t)0x7065, (q15_t)0xc2c2, (q15_t)0x7062, (q15_t)0xc2bc, + (q15_t)0x705f, (q15_t)0xc2b7, (q15_t)0x705c, (q15_t)0xc2b1, (q15_t)0x7059, (q15_t)0xc2ab, (q15_t)0x7056, (q15_t)0xc2a6, + (q15_t)0x7053, (q15_t)0xc2a0, (q15_t)0x7050, (q15_t)0xc29b, (q15_t)0x704d, (q15_t)0xc295, (q15_t)0x704a, (q15_t)0xc290, + (q15_t)0x7047, (q15_t)0xc28a, (q15_t)0x7044, (q15_t)0xc285, (q15_t)0x7041, (q15_t)0xc27f, (q15_t)0x703e, (q15_t)0xc27a, + (q15_t)0x703b, (q15_t)0xc274, (q15_t)0x7038, (q15_t)0xc26f, (q15_t)0x7035, (q15_t)0xc269, (q15_t)0x7032, (q15_t)0xc264, + (q15_t)0x702f, (q15_t)0xc25e, (q15_t)0x702c, (q15_t)0xc259, (q15_t)0x7029, (q15_t)0xc253, (q15_t)0x7026, (q15_t)0xc24e, + (q15_t)0x7023, (q15_t)0xc248, (q15_t)0x7020, (q15_t)0xc243, (q15_t)0x701d, (q15_t)0xc23d, (q15_t)0x7019, (q15_t)0xc238, + (q15_t)0x7016, (q15_t)0xc232, (q15_t)0x7013, (q15_t)0xc22d, (q15_t)0x7010, (q15_t)0xc227, (q15_t)0x700d, (q15_t)0xc222, + (q15_t)0x700a, (q15_t)0xc21c, (q15_t)0x7007, (q15_t)0xc217, (q15_t)0x7004, (q15_t)0xc211, (q15_t)0x7001, (q15_t)0xc20c, + (q15_t)0x6ffe, (q15_t)0xc206, (q15_t)0x6ffb, (q15_t)0xc201, (q15_t)0x6ff8, (q15_t)0xc1fb, (q15_t)0x6ff5, (q15_t)0xc1f6, + (q15_t)0x6ff2, (q15_t)0xc1f0, (q15_t)0x6fef, (q15_t)0xc1eb, (q15_t)0x6fec, (q15_t)0xc1e5, (q15_t)0x6fe9, (q15_t)0xc1e0, + (q15_t)0x6fe6, (q15_t)0xc1da, (q15_t)0x6fe3, (q15_t)0xc1d5, (q15_t)0x6fe0, (q15_t)0xc1cf, (q15_t)0x6fdd, (q15_t)0xc1ca, + (q15_t)0x6fda, (q15_t)0xc1c4, (q15_t)0x6fd6, (q15_t)0xc1bf, (q15_t)0x6fd3, (q15_t)0xc1b9, (q15_t)0x6fd0, (q15_t)0xc1b4, + (q15_t)0x6fcd, (q15_t)0xc1ae, (q15_t)0x6fca, (q15_t)0xc1a9, (q15_t)0x6fc7, (q15_t)0xc1a3, (q15_t)0x6fc4, (q15_t)0xc19e, + (q15_t)0x6fc1, (q15_t)0xc198, (q15_t)0x6fbe, (q15_t)0xc193, (q15_t)0x6fbb, (q15_t)0xc18d, (q15_t)0x6fb8, (q15_t)0xc188, + (q15_t)0x6fb5, (q15_t)0xc183, (q15_t)0x6fb2, (q15_t)0xc17d, (q15_t)0x6faf, (q15_t)0xc178, (q15_t)0x6fac, (q15_t)0xc172, + (q15_t)0x6fa9, (q15_t)0xc16d, (q15_t)0x6fa5, (q15_t)0xc167, (q15_t)0x6fa2, (q15_t)0xc162, (q15_t)0x6f9f, (q15_t)0xc15c, + (q15_t)0x6f9c, (q15_t)0xc157, (q15_t)0x6f99, (q15_t)0xc151, (q15_t)0x6f96, (q15_t)0xc14c, (q15_t)0x6f93, (q15_t)0xc146, + (q15_t)0x6f90, (q15_t)0xc141, (q15_t)0x6f8d, (q15_t)0xc13b, (q15_t)0x6f8a, (q15_t)0xc136, (q15_t)0x6f87, (q15_t)0xc130, + (q15_t)0x6f84, (q15_t)0xc12b, (q15_t)0x6f81, (q15_t)0xc125, (q15_t)0x6f7d, (q15_t)0xc120, (q15_t)0x6f7a, (q15_t)0xc11a, + (q15_t)0x6f77, (q15_t)0xc115, (q15_t)0x6f74, (q15_t)0xc10f, (q15_t)0x6f71, (q15_t)0xc10a, (q15_t)0x6f6e, (q15_t)0xc105, + (q15_t)0x6f6b, (q15_t)0xc0ff, (q15_t)0x6f68, (q15_t)0xc0fa, (q15_t)0x6f65, (q15_t)0xc0f4, (q15_t)0x6f62, (q15_t)0xc0ef, + (q15_t)0x6f5f, (q15_t)0xc0e9, (q15_t)0x6f5b, (q15_t)0xc0e4, (q15_t)0x6f58, (q15_t)0xc0de, (q15_t)0x6f55, (q15_t)0xc0d9, + (q15_t)0x6f52, (q15_t)0xc0d3, (q15_t)0x6f4f, (q15_t)0xc0ce, (q15_t)0x6f4c, (q15_t)0xc0c8, (q15_t)0x6f49, (q15_t)0xc0c3, + (q15_t)0x6f46, (q15_t)0xc0bd, (q15_t)0x6f43, (q15_t)0xc0b8, (q15_t)0x6f3f, (q15_t)0xc0b3, (q15_t)0x6f3c, (q15_t)0xc0ad, + (q15_t)0x6f39, (q15_t)0xc0a8, (q15_t)0x6f36, (q15_t)0xc0a2, (q15_t)0x6f33, (q15_t)0xc09d, (q15_t)0x6f30, (q15_t)0xc097, + (q15_t)0x6f2d, (q15_t)0xc092, (q15_t)0x6f2a, (q15_t)0xc08c, (q15_t)0x6f27, (q15_t)0xc087, (q15_t)0x6f23, (q15_t)0xc081, + (q15_t)0x6f20, (q15_t)0xc07c, (q15_t)0x6f1d, (q15_t)0xc077, (q15_t)0x6f1a, (q15_t)0xc071, (q15_t)0x6f17, (q15_t)0xc06c, + (q15_t)0x6f14, (q15_t)0xc066, (q15_t)0x6f11, (q15_t)0xc061, (q15_t)0x6f0e, (q15_t)0xc05b, (q15_t)0x6f0b, (q15_t)0xc056, + (q15_t)0x6f07, (q15_t)0xc050, (q15_t)0x6f04, (q15_t)0xc04b, (q15_t)0x6f01, (q15_t)0xc045, (q15_t)0x6efe, (q15_t)0xc040, + (q15_t)0x6efb, (q15_t)0xc03b, (q15_t)0x6ef8, (q15_t)0xc035, (q15_t)0x6ef5, (q15_t)0xc030, (q15_t)0x6ef1, (q15_t)0xc02a, + (q15_t)0x6eee, (q15_t)0xc025, (q15_t)0x6eeb, (q15_t)0xc01f, (q15_t)0x6ee8, (q15_t)0xc01a, (q15_t)0x6ee5, (q15_t)0xc014, + (q15_t)0x6ee2, (q15_t)0xc00f, (q15_t)0x6edf, (q15_t)0xc00a, (q15_t)0x6edc, (q15_t)0xc004, (q15_t)0x6ed8, (q15_t)0xbfff, + (q15_t)0x6ed5, (q15_t)0xbff9, (q15_t)0x6ed2, (q15_t)0xbff4, (q15_t)0x6ecf, (q15_t)0xbfee, (q15_t)0x6ecc, (q15_t)0xbfe9, + (q15_t)0x6ec9, (q15_t)0xbfe3, (q15_t)0x6ec6, (q15_t)0xbfde, (q15_t)0x6ec2, (q15_t)0xbfd9, (q15_t)0x6ebf, (q15_t)0xbfd3, + (q15_t)0x6ebc, (q15_t)0xbfce, (q15_t)0x6eb9, (q15_t)0xbfc8, (q15_t)0x6eb6, (q15_t)0xbfc3, (q15_t)0x6eb3, (q15_t)0xbfbd, + (q15_t)0x6eaf, (q15_t)0xbfb8, (q15_t)0x6eac, (q15_t)0xbfb3, (q15_t)0x6ea9, (q15_t)0xbfad, (q15_t)0x6ea6, (q15_t)0xbfa8, + (q15_t)0x6ea3, (q15_t)0xbfa2, (q15_t)0x6ea0, (q15_t)0xbf9d, (q15_t)0x6e9c, (q15_t)0xbf97, (q15_t)0x6e99, (q15_t)0xbf92, + (q15_t)0x6e96, (q15_t)0xbf8d, (q15_t)0x6e93, (q15_t)0xbf87, (q15_t)0x6e90, (q15_t)0xbf82, (q15_t)0x6e8d, (q15_t)0xbf7c, + (q15_t)0x6e89, (q15_t)0xbf77, (q15_t)0x6e86, (q15_t)0xbf71, (q15_t)0x6e83, (q15_t)0xbf6c, (q15_t)0x6e80, (q15_t)0xbf67, + (q15_t)0x6e7d, (q15_t)0xbf61, (q15_t)0x6e7a, (q15_t)0xbf5c, (q15_t)0x6e76, (q15_t)0xbf56, (q15_t)0x6e73, (q15_t)0xbf51, + (q15_t)0x6e70, (q15_t)0xbf4b, (q15_t)0x6e6d, (q15_t)0xbf46, (q15_t)0x6e6a, (q15_t)0xbf41, (q15_t)0x6e67, (q15_t)0xbf3b, + (q15_t)0x6e63, (q15_t)0xbf36, (q15_t)0x6e60, (q15_t)0xbf30, (q15_t)0x6e5d, (q15_t)0xbf2b, (q15_t)0x6e5a, (q15_t)0xbf26, + (q15_t)0x6e57, (q15_t)0xbf20, (q15_t)0x6e53, (q15_t)0xbf1b, (q15_t)0x6e50, (q15_t)0xbf15, (q15_t)0x6e4d, (q15_t)0xbf10, + (q15_t)0x6e4a, (q15_t)0xbf0a, (q15_t)0x6e47, (q15_t)0xbf05, (q15_t)0x6e44, (q15_t)0xbf00, (q15_t)0x6e40, (q15_t)0xbefa, + (q15_t)0x6e3d, (q15_t)0xbef5, (q15_t)0x6e3a, (q15_t)0xbeef, (q15_t)0x6e37, (q15_t)0xbeea, (q15_t)0x6e34, (q15_t)0xbee5, + (q15_t)0x6e30, (q15_t)0xbedf, (q15_t)0x6e2d, (q15_t)0xbeda, (q15_t)0x6e2a, (q15_t)0xbed4, (q15_t)0x6e27, (q15_t)0xbecf, + (q15_t)0x6e24, (q15_t)0xbeca, (q15_t)0x6e20, (q15_t)0xbec4, (q15_t)0x6e1d, (q15_t)0xbebf, (q15_t)0x6e1a, (q15_t)0xbeb9, + (q15_t)0x6e17, (q15_t)0xbeb4, (q15_t)0x6e14, (q15_t)0xbeae, (q15_t)0x6e10, (q15_t)0xbea9, (q15_t)0x6e0d, (q15_t)0xbea4, + (q15_t)0x6e0a, (q15_t)0xbe9e, (q15_t)0x6e07, (q15_t)0xbe99, (q15_t)0x6e04, (q15_t)0xbe93, (q15_t)0x6e00, (q15_t)0xbe8e, + (q15_t)0x6dfd, (q15_t)0xbe89, (q15_t)0x6dfa, (q15_t)0xbe83, (q15_t)0x6df7, (q15_t)0xbe7e, (q15_t)0x6df3, (q15_t)0xbe78, + (q15_t)0x6df0, (q15_t)0xbe73, (q15_t)0x6ded, (q15_t)0xbe6e, (q15_t)0x6dea, (q15_t)0xbe68, (q15_t)0x6de7, (q15_t)0xbe63, + (q15_t)0x6de3, (q15_t)0xbe5e, (q15_t)0x6de0, (q15_t)0xbe58, (q15_t)0x6ddd, (q15_t)0xbe53, (q15_t)0x6dda, (q15_t)0xbe4d, + (q15_t)0x6dd6, (q15_t)0xbe48, (q15_t)0x6dd3, (q15_t)0xbe43, (q15_t)0x6dd0, (q15_t)0xbe3d, (q15_t)0x6dcd, (q15_t)0xbe38, + (q15_t)0x6dca, (q15_t)0xbe32, (q15_t)0x6dc6, (q15_t)0xbe2d, (q15_t)0x6dc3, (q15_t)0xbe28, (q15_t)0x6dc0, (q15_t)0xbe22, + (q15_t)0x6dbd, (q15_t)0xbe1d, (q15_t)0x6db9, (q15_t)0xbe17, (q15_t)0x6db6, (q15_t)0xbe12, (q15_t)0x6db3, (q15_t)0xbe0d, + (q15_t)0x6db0, (q15_t)0xbe07, (q15_t)0x6dac, (q15_t)0xbe02, (q15_t)0x6da9, (q15_t)0xbdfd, (q15_t)0x6da6, (q15_t)0xbdf7, + (q15_t)0x6da3, (q15_t)0xbdf2, (q15_t)0x6d9f, (q15_t)0xbdec, (q15_t)0x6d9c, (q15_t)0xbde7, (q15_t)0x6d99, (q15_t)0xbde2, + (q15_t)0x6d96, (q15_t)0xbddc, (q15_t)0x6d92, (q15_t)0xbdd7, (q15_t)0x6d8f, (q15_t)0xbdd1, (q15_t)0x6d8c, (q15_t)0xbdcc, + (q15_t)0x6d89, (q15_t)0xbdc7, (q15_t)0x6d85, (q15_t)0xbdc1, (q15_t)0x6d82, (q15_t)0xbdbc, (q15_t)0x6d7f, (q15_t)0xbdb7, + (q15_t)0x6d7c, (q15_t)0xbdb1, (q15_t)0x6d78, (q15_t)0xbdac, (q15_t)0x6d75, (q15_t)0xbda6, (q15_t)0x6d72, (q15_t)0xbda1, + (q15_t)0x6d6f, (q15_t)0xbd9c, (q15_t)0x6d6b, (q15_t)0xbd96, (q15_t)0x6d68, (q15_t)0xbd91, (q15_t)0x6d65, (q15_t)0xbd8c, + (q15_t)0x6d62, (q15_t)0xbd86, (q15_t)0x6d5e, (q15_t)0xbd81, (q15_t)0x6d5b, (q15_t)0xbd7c, (q15_t)0x6d58, (q15_t)0xbd76, + (q15_t)0x6d55, (q15_t)0xbd71, (q15_t)0x6d51, (q15_t)0xbd6b, (q15_t)0x6d4e, (q15_t)0xbd66, (q15_t)0x6d4b, (q15_t)0xbd61, + (q15_t)0x6d48, (q15_t)0xbd5b, (q15_t)0x6d44, (q15_t)0xbd56, (q15_t)0x6d41, (q15_t)0xbd51, (q15_t)0x6d3e, (q15_t)0xbd4b, + (q15_t)0x6d3a, (q15_t)0xbd46, (q15_t)0x6d37, (q15_t)0xbd40, (q15_t)0x6d34, (q15_t)0xbd3b, (q15_t)0x6d31, (q15_t)0xbd36, + (q15_t)0x6d2d, (q15_t)0xbd30, (q15_t)0x6d2a, (q15_t)0xbd2b, (q15_t)0x6d27, (q15_t)0xbd26, (q15_t)0x6d23, (q15_t)0xbd20, + (q15_t)0x6d20, (q15_t)0xbd1b, (q15_t)0x6d1d, (q15_t)0xbd16, (q15_t)0x6d1a, (q15_t)0xbd10, (q15_t)0x6d16, (q15_t)0xbd0b, + (q15_t)0x6d13, (q15_t)0xbd06, (q15_t)0x6d10, (q15_t)0xbd00, (q15_t)0x6d0c, (q15_t)0xbcfb, (q15_t)0x6d09, (q15_t)0xbcf5, + (q15_t)0x6d06, (q15_t)0xbcf0, (q15_t)0x6d03, (q15_t)0xbceb, (q15_t)0x6cff, (q15_t)0xbce5, (q15_t)0x6cfc, (q15_t)0xbce0, + (q15_t)0x6cf9, (q15_t)0xbcdb, (q15_t)0x6cf5, (q15_t)0xbcd5, (q15_t)0x6cf2, (q15_t)0xbcd0, (q15_t)0x6cef, (q15_t)0xbccb, + (q15_t)0x6cec, (q15_t)0xbcc5, (q15_t)0x6ce8, (q15_t)0xbcc0, (q15_t)0x6ce5, (q15_t)0xbcbb, (q15_t)0x6ce2, (q15_t)0xbcb5, + (q15_t)0x6cde, (q15_t)0xbcb0, (q15_t)0x6cdb, (q15_t)0xbcab, (q15_t)0x6cd8, (q15_t)0xbca5, (q15_t)0x6cd4, (q15_t)0xbca0, + (q15_t)0x6cd1, (q15_t)0xbc9b, (q15_t)0x6cce, (q15_t)0xbc95, (q15_t)0x6cca, (q15_t)0xbc90, (q15_t)0x6cc7, (q15_t)0xbc8b, + (q15_t)0x6cc4, (q15_t)0xbc85, (q15_t)0x6cc1, (q15_t)0xbc80, (q15_t)0x6cbd, (q15_t)0xbc7b, (q15_t)0x6cba, (q15_t)0xbc75, + (q15_t)0x6cb7, (q15_t)0xbc70, (q15_t)0x6cb3, (q15_t)0xbc6b, (q15_t)0x6cb0, (q15_t)0xbc65, (q15_t)0x6cad, (q15_t)0xbc60, + (q15_t)0x6ca9, (q15_t)0xbc5b, (q15_t)0x6ca6, (q15_t)0xbc55, (q15_t)0x6ca3, (q15_t)0xbc50, (q15_t)0x6c9f, (q15_t)0xbc4b, + (q15_t)0x6c9c, (q15_t)0xbc45, (q15_t)0x6c99, (q15_t)0xbc40, (q15_t)0x6c95, (q15_t)0xbc3b, (q15_t)0x6c92, (q15_t)0xbc35, + (q15_t)0x6c8f, (q15_t)0xbc30, (q15_t)0x6c8b, (q15_t)0xbc2b, (q15_t)0x6c88, (q15_t)0xbc25, (q15_t)0x6c85, (q15_t)0xbc20, + (q15_t)0x6c81, (q15_t)0xbc1b, (q15_t)0x6c7e, (q15_t)0xbc15, (q15_t)0x6c7b, (q15_t)0xbc10, (q15_t)0x6c77, (q15_t)0xbc0b, + (q15_t)0x6c74, (q15_t)0xbc05, (q15_t)0x6c71, (q15_t)0xbc00, (q15_t)0x6c6d, (q15_t)0xbbfb, (q15_t)0x6c6a, (q15_t)0xbbf5, + (q15_t)0x6c67, (q15_t)0xbbf0, (q15_t)0x6c63, (q15_t)0xbbeb, (q15_t)0x6c60, (q15_t)0xbbe5, (q15_t)0x6c5d, (q15_t)0xbbe0, + (q15_t)0x6c59, (q15_t)0xbbdb, (q15_t)0x6c56, (q15_t)0xbbd5, (q15_t)0x6c53, (q15_t)0xbbd0, (q15_t)0x6c4f, (q15_t)0xbbcb, + (q15_t)0x6c4c, (q15_t)0xbbc5, (q15_t)0x6c49, (q15_t)0xbbc0, (q15_t)0x6c45, (q15_t)0xbbbb, (q15_t)0x6c42, (q15_t)0xbbb5, + (q15_t)0x6c3f, (q15_t)0xbbb0, (q15_t)0x6c3b, (q15_t)0xbbab, (q15_t)0x6c38, (q15_t)0xbba6, (q15_t)0x6c34, (q15_t)0xbba0, + (q15_t)0x6c31, (q15_t)0xbb9b, (q15_t)0x6c2e, (q15_t)0xbb96, (q15_t)0x6c2a, (q15_t)0xbb90, (q15_t)0x6c27, (q15_t)0xbb8b, + (q15_t)0x6c24, (q15_t)0xbb86, (q15_t)0x6c20, (q15_t)0xbb80, (q15_t)0x6c1d, (q15_t)0xbb7b, (q15_t)0x6c1a, (q15_t)0xbb76, + (q15_t)0x6c16, (q15_t)0xbb70, (q15_t)0x6c13, (q15_t)0xbb6b, (q15_t)0x6c0f, (q15_t)0xbb66, (q15_t)0x6c0c, (q15_t)0xbb61, + (q15_t)0x6c09, (q15_t)0xbb5b, (q15_t)0x6c05, (q15_t)0xbb56, (q15_t)0x6c02, (q15_t)0xbb51, (q15_t)0x6bff, (q15_t)0xbb4b, + (q15_t)0x6bfb, (q15_t)0xbb46, (q15_t)0x6bf8, (q15_t)0xbb41, (q15_t)0x6bf5, (q15_t)0xbb3b, (q15_t)0x6bf1, (q15_t)0xbb36, + (q15_t)0x6bee, (q15_t)0xbb31, (q15_t)0x6bea, (q15_t)0xbb2c, (q15_t)0x6be7, (q15_t)0xbb26, (q15_t)0x6be4, (q15_t)0xbb21, + (q15_t)0x6be0, (q15_t)0xbb1c, (q15_t)0x6bdd, (q15_t)0xbb16, (q15_t)0x6bd9, (q15_t)0xbb11, (q15_t)0x6bd6, (q15_t)0xbb0c, + (q15_t)0x6bd3, (q15_t)0xbb06, (q15_t)0x6bcf, (q15_t)0xbb01, (q15_t)0x6bcc, (q15_t)0xbafc, (q15_t)0x6bc9, (q15_t)0xbaf7, + (q15_t)0x6bc5, (q15_t)0xbaf1, (q15_t)0x6bc2, (q15_t)0xbaec, (q15_t)0x6bbe, (q15_t)0xbae7, (q15_t)0x6bbb, (q15_t)0xbae1, + (q15_t)0x6bb8, (q15_t)0xbadc, (q15_t)0x6bb4, (q15_t)0xbad7, (q15_t)0x6bb1, (q15_t)0xbad2, (q15_t)0x6bad, (q15_t)0xbacc, + (q15_t)0x6baa, (q15_t)0xbac7, (q15_t)0x6ba7, (q15_t)0xbac2, (q15_t)0x6ba3, (q15_t)0xbabc, (q15_t)0x6ba0, (q15_t)0xbab7, + (q15_t)0x6b9c, (q15_t)0xbab2, (q15_t)0x6b99, (q15_t)0xbaad, (q15_t)0x6b96, (q15_t)0xbaa7, (q15_t)0x6b92, (q15_t)0xbaa2, + (q15_t)0x6b8f, (q15_t)0xba9d, (q15_t)0x6b8b, (q15_t)0xba97, (q15_t)0x6b88, (q15_t)0xba92, (q15_t)0x6b85, (q15_t)0xba8d, + (q15_t)0x6b81, (q15_t)0xba88, (q15_t)0x6b7e, (q15_t)0xba82, (q15_t)0x6b7a, (q15_t)0xba7d, (q15_t)0x6b77, (q15_t)0xba78, + (q15_t)0x6b73, (q15_t)0xba73, (q15_t)0x6b70, (q15_t)0xba6d, (q15_t)0x6b6d, (q15_t)0xba68, (q15_t)0x6b69, (q15_t)0xba63, + (q15_t)0x6b66, (q15_t)0xba5d, (q15_t)0x6b62, (q15_t)0xba58, (q15_t)0x6b5f, (q15_t)0xba53, (q15_t)0x6b5c, (q15_t)0xba4e, + (q15_t)0x6b58, (q15_t)0xba48, (q15_t)0x6b55, (q15_t)0xba43, (q15_t)0x6b51, (q15_t)0xba3e, (q15_t)0x6b4e, (q15_t)0xba39, + (q15_t)0x6b4a, (q15_t)0xba33, (q15_t)0x6b47, (q15_t)0xba2e, (q15_t)0x6b44, (q15_t)0xba29, (q15_t)0x6b40, (q15_t)0xba23, + (q15_t)0x6b3d, (q15_t)0xba1e, (q15_t)0x6b39, (q15_t)0xba19, (q15_t)0x6b36, (q15_t)0xba14, (q15_t)0x6b32, (q15_t)0xba0e, + (q15_t)0x6b2f, (q15_t)0xba09, (q15_t)0x6b2c, (q15_t)0xba04, (q15_t)0x6b28, (q15_t)0xb9ff, (q15_t)0x6b25, (q15_t)0xb9f9, + (q15_t)0x6b21, (q15_t)0xb9f4, (q15_t)0x6b1e, (q15_t)0xb9ef, (q15_t)0x6b1a, (q15_t)0xb9ea, (q15_t)0x6b17, (q15_t)0xb9e4, + (q15_t)0x6b13, (q15_t)0xb9df, (q15_t)0x6b10, (q15_t)0xb9da, (q15_t)0x6b0d, (q15_t)0xb9d5, (q15_t)0x6b09, (q15_t)0xb9cf, + (q15_t)0x6b06, (q15_t)0xb9ca, (q15_t)0x6b02, (q15_t)0xb9c5, (q15_t)0x6aff, (q15_t)0xb9c0, (q15_t)0x6afb, (q15_t)0xb9ba, + (q15_t)0x6af8, (q15_t)0xb9b5, (q15_t)0x6af4, (q15_t)0xb9b0, (q15_t)0x6af1, (q15_t)0xb9ab, (q15_t)0x6aee, (q15_t)0xb9a5, + (q15_t)0x6aea, (q15_t)0xb9a0, (q15_t)0x6ae7, (q15_t)0xb99b, (q15_t)0x6ae3, (q15_t)0xb996, (q15_t)0x6ae0, (q15_t)0xb990, + (q15_t)0x6adc, (q15_t)0xb98b, (q15_t)0x6ad9, (q15_t)0xb986, (q15_t)0x6ad5, (q15_t)0xb981, (q15_t)0x6ad2, (q15_t)0xb97b, + (q15_t)0x6ace, (q15_t)0xb976, (q15_t)0x6acb, (q15_t)0xb971, (q15_t)0x6ac8, (q15_t)0xb96c, (q15_t)0x6ac4, (q15_t)0xb966, + (q15_t)0x6ac1, (q15_t)0xb961, (q15_t)0x6abd, (q15_t)0xb95c, (q15_t)0x6aba, (q15_t)0xb957, (q15_t)0x6ab6, (q15_t)0xb951, + (q15_t)0x6ab3, (q15_t)0xb94c, (q15_t)0x6aaf, (q15_t)0xb947, (q15_t)0x6aac, (q15_t)0xb942, (q15_t)0x6aa8, (q15_t)0xb93c, + (q15_t)0x6aa5, (q15_t)0xb937, (q15_t)0x6aa1, (q15_t)0xb932, (q15_t)0x6a9e, (q15_t)0xb92d, (q15_t)0x6a9a, (q15_t)0xb928, + (q15_t)0x6a97, (q15_t)0xb922, (q15_t)0x6a93, (q15_t)0xb91d, (q15_t)0x6a90, (q15_t)0xb918, (q15_t)0x6a8c, (q15_t)0xb913, + (q15_t)0x6a89, (q15_t)0xb90d, (q15_t)0x6a86, (q15_t)0xb908, (q15_t)0x6a82, (q15_t)0xb903, (q15_t)0x6a7f, (q15_t)0xb8fe, + (q15_t)0x6a7b, (q15_t)0xb8f8, (q15_t)0x6a78, (q15_t)0xb8f3, (q15_t)0x6a74, (q15_t)0xb8ee, (q15_t)0x6a71, (q15_t)0xb8e9, + (q15_t)0x6a6d, (q15_t)0xb8e4, (q15_t)0x6a6a, (q15_t)0xb8de, (q15_t)0x6a66, (q15_t)0xb8d9, (q15_t)0x6a63, (q15_t)0xb8d4, + (q15_t)0x6a5f, (q15_t)0xb8cf, (q15_t)0x6a5c, (q15_t)0xb8c9, (q15_t)0x6a58, (q15_t)0xb8c4, (q15_t)0x6a55, (q15_t)0xb8bf, + (q15_t)0x6a51, (q15_t)0xb8ba, (q15_t)0x6a4e, (q15_t)0xb8b5, (q15_t)0x6a4a, (q15_t)0xb8af, (q15_t)0x6a47, (q15_t)0xb8aa, + (q15_t)0x6a43, (q15_t)0xb8a5, (q15_t)0x6a40, (q15_t)0xb8a0, (q15_t)0x6a3c, (q15_t)0xb89b, (q15_t)0x6a39, (q15_t)0xb895, + (q15_t)0x6a35, (q15_t)0xb890, (q15_t)0x6a32, (q15_t)0xb88b, (q15_t)0x6a2e, (q15_t)0xb886, (q15_t)0x6a2b, (q15_t)0xb880, + (q15_t)0x6a27, (q15_t)0xb87b, (q15_t)0x6a24, (q15_t)0xb876, (q15_t)0x6a20, (q15_t)0xb871, (q15_t)0x6a1d, (q15_t)0xb86c, + (q15_t)0x6a19, (q15_t)0xb866, (q15_t)0x6a16, (q15_t)0xb861, (q15_t)0x6a12, (q15_t)0xb85c, (q15_t)0x6a0e, (q15_t)0xb857, + (q15_t)0x6a0b, (q15_t)0xb852, (q15_t)0x6a07, (q15_t)0xb84c, (q15_t)0x6a04, (q15_t)0xb847, (q15_t)0x6a00, (q15_t)0xb842, + (q15_t)0x69fd, (q15_t)0xb83d, (q15_t)0x69f9, (q15_t)0xb838, (q15_t)0x69f6, (q15_t)0xb832, (q15_t)0x69f2, (q15_t)0xb82d, + (q15_t)0x69ef, (q15_t)0xb828, (q15_t)0x69eb, (q15_t)0xb823, (q15_t)0x69e8, (q15_t)0xb81e, (q15_t)0x69e4, (q15_t)0xb818, + (q15_t)0x69e1, (q15_t)0xb813, (q15_t)0x69dd, (q15_t)0xb80e, (q15_t)0x69da, (q15_t)0xb809, (q15_t)0x69d6, (q15_t)0xb804, + (q15_t)0x69d3, (q15_t)0xb7fe, (q15_t)0x69cf, (q15_t)0xb7f9, (q15_t)0x69cb, (q15_t)0xb7f4, (q15_t)0x69c8, (q15_t)0xb7ef, + (q15_t)0x69c4, (q15_t)0xb7ea, (q15_t)0x69c1, (q15_t)0xb7e4, (q15_t)0x69bd, (q15_t)0xb7df, (q15_t)0x69ba, (q15_t)0xb7da, + (q15_t)0x69b6, (q15_t)0xb7d5, (q15_t)0x69b3, (q15_t)0xb7d0, (q15_t)0x69af, (q15_t)0xb7ca, (q15_t)0x69ac, (q15_t)0xb7c5, + (q15_t)0x69a8, (q15_t)0xb7c0, (q15_t)0x69a5, (q15_t)0xb7bb, (q15_t)0x69a1, (q15_t)0xb7b6, (q15_t)0x699d, (q15_t)0xb7b1, + (q15_t)0x699a, (q15_t)0xb7ab, (q15_t)0x6996, (q15_t)0xb7a6, (q15_t)0x6993, (q15_t)0xb7a1, (q15_t)0x698f, (q15_t)0xb79c, + (q15_t)0x698c, (q15_t)0xb797, (q15_t)0x6988, (q15_t)0xb791, (q15_t)0x6985, (q15_t)0xb78c, (q15_t)0x6981, (q15_t)0xb787, + (q15_t)0x697d, (q15_t)0xb782, (q15_t)0x697a, (q15_t)0xb77d, (q15_t)0x6976, (q15_t)0xb778, (q15_t)0x6973, (q15_t)0xb772, + (q15_t)0x696f, (q15_t)0xb76d, (q15_t)0x696c, (q15_t)0xb768, (q15_t)0x6968, (q15_t)0xb763, (q15_t)0x6964, (q15_t)0xb75e, + (q15_t)0x6961, (q15_t)0xb758, (q15_t)0x695d, (q15_t)0xb753, (q15_t)0x695a, (q15_t)0xb74e, (q15_t)0x6956, (q15_t)0xb749, + (q15_t)0x6953, (q15_t)0xb744, (q15_t)0x694f, (q15_t)0xb73f, (q15_t)0x694b, (q15_t)0xb739, (q15_t)0x6948, (q15_t)0xb734, + (q15_t)0x6944, (q15_t)0xb72f, (q15_t)0x6941, (q15_t)0xb72a, (q15_t)0x693d, (q15_t)0xb725, (q15_t)0x693a, (q15_t)0xb720, + (q15_t)0x6936, (q15_t)0xb71a, (q15_t)0x6932, (q15_t)0xb715, (q15_t)0x692f, (q15_t)0xb710, (q15_t)0x692b, (q15_t)0xb70b, + (q15_t)0x6928, (q15_t)0xb706, (q15_t)0x6924, (q15_t)0xb701, (q15_t)0x6921, (q15_t)0xb6fb, (q15_t)0x691d, (q15_t)0xb6f6, + (q15_t)0x6919, (q15_t)0xb6f1, (q15_t)0x6916, (q15_t)0xb6ec, (q15_t)0x6912, (q15_t)0xb6e7, (q15_t)0x690f, (q15_t)0xb6e2, + (q15_t)0x690b, (q15_t)0xb6dd, (q15_t)0x6907, (q15_t)0xb6d7, (q15_t)0x6904, (q15_t)0xb6d2, (q15_t)0x6900, (q15_t)0xb6cd, + (q15_t)0x68fd, (q15_t)0xb6c8, (q15_t)0x68f9, (q15_t)0xb6c3, (q15_t)0x68f5, (q15_t)0xb6be, (q15_t)0x68f2, (q15_t)0xb6b8, + (q15_t)0x68ee, (q15_t)0xb6b3, (q15_t)0x68eb, (q15_t)0xb6ae, (q15_t)0x68e7, (q15_t)0xb6a9, (q15_t)0x68e3, (q15_t)0xb6a4, + (q15_t)0x68e0, (q15_t)0xb69f, (q15_t)0x68dc, (q15_t)0xb69a, (q15_t)0x68d9, (q15_t)0xb694, (q15_t)0x68d5, (q15_t)0xb68f, + (q15_t)0x68d1, (q15_t)0xb68a, (q15_t)0x68ce, (q15_t)0xb685, (q15_t)0x68ca, (q15_t)0xb680, (q15_t)0x68c7, (q15_t)0xb67b, + (q15_t)0x68c3, (q15_t)0xb676, (q15_t)0x68bf, (q15_t)0xb670, (q15_t)0x68bc, (q15_t)0xb66b, (q15_t)0x68b8, (q15_t)0xb666, + (q15_t)0x68b5, (q15_t)0xb661, (q15_t)0x68b1, (q15_t)0xb65c, (q15_t)0x68ad, (q15_t)0xb657, (q15_t)0x68aa, (q15_t)0xb652, + (q15_t)0x68a6, (q15_t)0xb64c, (q15_t)0x68a3, (q15_t)0xb647, (q15_t)0x689f, (q15_t)0xb642, (q15_t)0x689b, (q15_t)0xb63d, + (q15_t)0x6898, (q15_t)0xb638, (q15_t)0x6894, (q15_t)0xb633, (q15_t)0x6890, (q15_t)0xb62e, (q15_t)0x688d, (q15_t)0xb628, + (q15_t)0x6889, (q15_t)0xb623, (q15_t)0x6886, (q15_t)0xb61e, (q15_t)0x6882, (q15_t)0xb619, (q15_t)0x687e, (q15_t)0xb614, + (q15_t)0x687b, (q15_t)0xb60f, (q15_t)0x6877, (q15_t)0xb60a, (q15_t)0x6873, (q15_t)0xb605, (q15_t)0x6870, (q15_t)0xb5ff, + (q15_t)0x686c, (q15_t)0xb5fa, (q15_t)0x6868, (q15_t)0xb5f5, (q15_t)0x6865, (q15_t)0xb5f0, (q15_t)0x6861, (q15_t)0xb5eb, + (q15_t)0x685e, (q15_t)0xb5e6, (q15_t)0x685a, (q15_t)0xb5e1, (q15_t)0x6856, (q15_t)0xb5dc, (q15_t)0x6853, (q15_t)0xb5d6, + (q15_t)0x684f, (q15_t)0xb5d1, (q15_t)0x684b, (q15_t)0xb5cc, (q15_t)0x6848, (q15_t)0xb5c7, (q15_t)0x6844, (q15_t)0xb5c2, + (q15_t)0x6840, (q15_t)0xb5bd, (q15_t)0x683d, (q15_t)0xb5b8, (q15_t)0x6839, (q15_t)0xb5b3, (q15_t)0x6835, (q15_t)0xb5ae, + (q15_t)0x6832, (q15_t)0xb5a8, (q15_t)0x682e, (q15_t)0xb5a3, (q15_t)0x682b, (q15_t)0xb59e, (q15_t)0x6827, (q15_t)0xb599, + (q15_t)0x6823, (q15_t)0xb594, (q15_t)0x6820, (q15_t)0xb58f, (q15_t)0x681c, (q15_t)0xb58a, (q15_t)0x6818, (q15_t)0xb585, + (q15_t)0x6815, (q15_t)0xb57f, (q15_t)0x6811, (q15_t)0xb57a, (q15_t)0x680d, (q15_t)0xb575, (q15_t)0x680a, (q15_t)0xb570, + (q15_t)0x6806, (q15_t)0xb56b, (q15_t)0x6802, (q15_t)0xb566, (q15_t)0x67ff, (q15_t)0xb561, (q15_t)0x67fb, (q15_t)0xb55c, + (q15_t)0x67f7, (q15_t)0xb557, (q15_t)0x67f4, (q15_t)0xb552, (q15_t)0x67f0, (q15_t)0xb54c, (q15_t)0x67ec, (q15_t)0xb547, + (q15_t)0x67e9, (q15_t)0xb542, (q15_t)0x67e5, (q15_t)0xb53d, (q15_t)0x67e1, (q15_t)0xb538, (q15_t)0x67de, (q15_t)0xb533, + (q15_t)0x67da, (q15_t)0xb52e, (q15_t)0x67d6, (q15_t)0xb529, (q15_t)0x67d3, (q15_t)0xb524, (q15_t)0x67cf, (q15_t)0xb51f, + (q15_t)0x67cb, (q15_t)0xb519, (q15_t)0x67c8, (q15_t)0xb514, (q15_t)0x67c4, (q15_t)0xb50f, (q15_t)0x67c0, (q15_t)0xb50a, + (q15_t)0x67bd, (q15_t)0xb505, (q15_t)0x67b9, (q15_t)0xb500, (q15_t)0x67b5, (q15_t)0xb4fb, (q15_t)0x67b2, (q15_t)0xb4f6, + (q15_t)0x67ae, (q15_t)0xb4f1, (q15_t)0x67aa, (q15_t)0xb4ec, (q15_t)0x67a6, (q15_t)0xb4e7, (q15_t)0x67a3, (q15_t)0xb4e1, + (q15_t)0x679f, (q15_t)0xb4dc, (q15_t)0x679b, (q15_t)0xb4d7, (q15_t)0x6798, (q15_t)0xb4d2, (q15_t)0x6794, (q15_t)0xb4cd, + (q15_t)0x6790, (q15_t)0xb4c8, (q15_t)0x678d, (q15_t)0xb4c3, (q15_t)0x6789, (q15_t)0xb4be, (q15_t)0x6785, (q15_t)0xb4b9, + (q15_t)0x6782, (q15_t)0xb4b4, (q15_t)0x677e, (q15_t)0xb4af, (q15_t)0x677a, (q15_t)0xb4aa, (q15_t)0x6776, (q15_t)0xb4a4, + (q15_t)0x6773, (q15_t)0xb49f, (q15_t)0x676f, (q15_t)0xb49a, (q15_t)0x676b, (q15_t)0xb495, (q15_t)0x6768, (q15_t)0xb490, + (q15_t)0x6764, (q15_t)0xb48b, (q15_t)0x6760, (q15_t)0xb486, (q15_t)0x675d, (q15_t)0xb481, (q15_t)0x6759, (q15_t)0xb47c, + (q15_t)0x6755, (q15_t)0xb477, (q15_t)0x6751, (q15_t)0xb472, (q15_t)0x674e, (q15_t)0xb46d, (q15_t)0x674a, (q15_t)0xb468, + (q15_t)0x6746, (q15_t)0xb462, (q15_t)0x6743, (q15_t)0xb45d, (q15_t)0x673f, (q15_t)0xb458, (q15_t)0x673b, (q15_t)0xb453, + (q15_t)0x6737, (q15_t)0xb44e, (q15_t)0x6734, (q15_t)0xb449, (q15_t)0x6730, (q15_t)0xb444, (q15_t)0x672c, (q15_t)0xb43f, + (q15_t)0x6729, (q15_t)0xb43a, (q15_t)0x6725, (q15_t)0xb435, (q15_t)0x6721, (q15_t)0xb430, (q15_t)0x671d, (q15_t)0xb42b, + (q15_t)0x671a, (q15_t)0xb426, (q15_t)0x6716, (q15_t)0xb421, (q15_t)0x6712, (q15_t)0xb41c, (q15_t)0x670e, (q15_t)0xb417, + (q15_t)0x670b, (q15_t)0xb411, (q15_t)0x6707, (q15_t)0xb40c, (q15_t)0x6703, (q15_t)0xb407, (q15_t)0x6700, (q15_t)0xb402, + (q15_t)0x66fc, (q15_t)0xb3fd, (q15_t)0x66f8, (q15_t)0xb3f8, (q15_t)0x66f4, (q15_t)0xb3f3, (q15_t)0x66f1, (q15_t)0xb3ee, + (q15_t)0x66ed, (q15_t)0xb3e9, (q15_t)0x66e9, (q15_t)0xb3e4, (q15_t)0x66e5, (q15_t)0xb3df, (q15_t)0x66e2, (q15_t)0xb3da, + (q15_t)0x66de, (q15_t)0xb3d5, (q15_t)0x66da, (q15_t)0xb3d0, (q15_t)0x66d6, (q15_t)0xb3cb, (q15_t)0x66d3, (q15_t)0xb3c6, + (q15_t)0x66cf, (q15_t)0xb3c1, (q15_t)0x66cb, (q15_t)0xb3bc, (q15_t)0x66c8, (q15_t)0xb3b7, (q15_t)0x66c4, (q15_t)0xb3b1, + (q15_t)0x66c0, (q15_t)0xb3ac, (q15_t)0x66bc, (q15_t)0xb3a7, (q15_t)0x66b9, (q15_t)0xb3a2, (q15_t)0x66b5, (q15_t)0xb39d, + (q15_t)0x66b1, (q15_t)0xb398, (q15_t)0x66ad, (q15_t)0xb393, (q15_t)0x66aa, (q15_t)0xb38e, (q15_t)0x66a6, (q15_t)0xb389, + (q15_t)0x66a2, (q15_t)0xb384, (q15_t)0x669e, (q15_t)0xb37f, (q15_t)0x669b, (q15_t)0xb37a, (q15_t)0x6697, (q15_t)0xb375, + (q15_t)0x6693, (q15_t)0xb370, (q15_t)0x668f, (q15_t)0xb36b, (q15_t)0x668b, (q15_t)0xb366, (q15_t)0x6688, (q15_t)0xb361, + (q15_t)0x6684, (q15_t)0xb35c, (q15_t)0x6680, (q15_t)0xb357, (q15_t)0x667c, (q15_t)0xb352, (q15_t)0x6679, (q15_t)0xb34d, + (q15_t)0x6675, (q15_t)0xb348, (q15_t)0x6671, (q15_t)0xb343, (q15_t)0x666d, (q15_t)0xb33e, (q15_t)0x666a, (q15_t)0xb339, + (q15_t)0x6666, (q15_t)0xb334, (q15_t)0x6662, (q15_t)0xb32f, (q15_t)0x665e, (q15_t)0xb32a, (q15_t)0x665b, (q15_t)0xb325, + (q15_t)0x6657, (q15_t)0xb31f, (q15_t)0x6653, (q15_t)0xb31a, (q15_t)0x664f, (q15_t)0xb315, (q15_t)0x664b, (q15_t)0xb310, + (q15_t)0x6648, (q15_t)0xb30b, (q15_t)0x6644, (q15_t)0xb306, (q15_t)0x6640, (q15_t)0xb301, (q15_t)0x663c, (q15_t)0xb2fc, + (q15_t)0x6639, (q15_t)0xb2f7, (q15_t)0x6635, (q15_t)0xb2f2, (q15_t)0x6631, (q15_t)0xb2ed, (q15_t)0x662d, (q15_t)0xb2e8, + (q15_t)0x6629, (q15_t)0xb2e3, (q15_t)0x6626, (q15_t)0xb2de, (q15_t)0x6622, (q15_t)0xb2d9, (q15_t)0x661e, (q15_t)0xb2d4, + (q15_t)0x661a, (q15_t)0xb2cf, (q15_t)0x6616, (q15_t)0xb2ca, (q15_t)0x6613, (q15_t)0xb2c5, (q15_t)0x660f, (q15_t)0xb2c0, + (q15_t)0x660b, (q15_t)0xb2bb, (q15_t)0x6607, (q15_t)0xb2b6, (q15_t)0x6603, (q15_t)0xb2b1, (q15_t)0x6600, (q15_t)0xb2ac, + (q15_t)0x65fc, (q15_t)0xb2a7, (q15_t)0x65f8, (q15_t)0xb2a2, (q15_t)0x65f4, (q15_t)0xb29d, (q15_t)0x65f0, (q15_t)0xb298, + (q15_t)0x65ed, (q15_t)0xb293, (q15_t)0x65e9, (q15_t)0xb28e, (q15_t)0x65e5, (q15_t)0xb289, (q15_t)0x65e1, (q15_t)0xb284, + (q15_t)0x65dd, (q15_t)0xb27f, (q15_t)0x65da, (q15_t)0xb27a, (q15_t)0x65d6, (q15_t)0xb275, (q15_t)0x65d2, (q15_t)0xb270, + (q15_t)0x65ce, (q15_t)0xb26b, (q15_t)0x65ca, (q15_t)0xb266, (q15_t)0x65c7, (q15_t)0xb261, (q15_t)0x65c3, (q15_t)0xb25c, + (q15_t)0x65bf, (q15_t)0xb257, (q15_t)0x65bb, (q15_t)0xb252, (q15_t)0x65b7, (q15_t)0xb24d, (q15_t)0x65b4, (q15_t)0xb248, + (q15_t)0x65b0, (q15_t)0xb243, (q15_t)0x65ac, (q15_t)0xb23e, (q15_t)0x65a8, (q15_t)0xb239, (q15_t)0x65a4, (q15_t)0xb234, + (q15_t)0x65a0, (q15_t)0xb22f, (q15_t)0x659d, (q15_t)0xb22a, (q15_t)0x6599, (q15_t)0xb225, (q15_t)0x6595, (q15_t)0xb220, + (q15_t)0x6591, (q15_t)0xb21b, (q15_t)0x658d, (q15_t)0xb216, (q15_t)0x658a, (q15_t)0xb211, (q15_t)0x6586, (q15_t)0xb20c, + (q15_t)0x6582, (q15_t)0xb207, (q15_t)0x657e, (q15_t)0xb202, (q15_t)0x657a, (q15_t)0xb1fd, (q15_t)0x6576, (q15_t)0xb1f8, + (q15_t)0x6573, (q15_t)0xb1f3, (q15_t)0x656f, (q15_t)0xb1ee, (q15_t)0x656b, (q15_t)0xb1e9, (q15_t)0x6567, (q15_t)0xb1e4, + (q15_t)0x6563, (q15_t)0xb1df, (q15_t)0x655f, (q15_t)0xb1da, (q15_t)0x655c, (q15_t)0xb1d6, (q15_t)0x6558, (q15_t)0xb1d1, + (q15_t)0x6554, (q15_t)0xb1cc, (q15_t)0x6550, (q15_t)0xb1c7, (q15_t)0x654c, (q15_t)0xb1c2, (q15_t)0x6548, (q15_t)0xb1bd, + (q15_t)0x6545, (q15_t)0xb1b8, (q15_t)0x6541, (q15_t)0xb1b3, (q15_t)0x653d, (q15_t)0xb1ae, (q15_t)0x6539, (q15_t)0xb1a9, + (q15_t)0x6535, (q15_t)0xb1a4, (q15_t)0x6531, (q15_t)0xb19f, (q15_t)0x652d, (q15_t)0xb19a, (q15_t)0x652a, (q15_t)0xb195, + (q15_t)0x6526, (q15_t)0xb190, (q15_t)0x6522, (q15_t)0xb18b, (q15_t)0x651e, (q15_t)0xb186, (q15_t)0x651a, (q15_t)0xb181, + (q15_t)0x6516, (q15_t)0xb17c, (q15_t)0x6513, (q15_t)0xb177, (q15_t)0x650f, (q15_t)0xb172, (q15_t)0x650b, (q15_t)0xb16d, + (q15_t)0x6507, (q15_t)0xb168, (q15_t)0x6503, (q15_t)0xb163, (q15_t)0x64ff, (q15_t)0xb15e, (q15_t)0x64fb, (q15_t)0xb159, + (q15_t)0x64f7, (q15_t)0xb154, (q15_t)0x64f4, (q15_t)0xb14f, (q15_t)0x64f0, (q15_t)0xb14a, (q15_t)0x64ec, (q15_t)0xb146, + (q15_t)0x64e8, (q15_t)0xb141, (q15_t)0x64e4, (q15_t)0xb13c, (q15_t)0x64e0, (q15_t)0xb137, (q15_t)0x64dc, (q15_t)0xb132, + (q15_t)0x64d9, (q15_t)0xb12d, (q15_t)0x64d5, (q15_t)0xb128, (q15_t)0x64d1, (q15_t)0xb123, (q15_t)0x64cd, (q15_t)0xb11e, + (q15_t)0x64c9, (q15_t)0xb119, (q15_t)0x64c5, (q15_t)0xb114, (q15_t)0x64c1, (q15_t)0xb10f, (q15_t)0x64bd, (q15_t)0xb10a, + (q15_t)0x64ba, (q15_t)0xb105, (q15_t)0x64b6, (q15_t)0xb100, (q15_t)0x64b2, (q15_t)0xb0fb, (q15_t)0x64ae, (q15_t)0xb0f6, + (q15_t)0x64aa, (q15_t)0xb0f1, (q15_t)0x64a6, (q15_t)0xb0ec, (q15_t)0x64a2, (q15_t)0xb0e8, (q15_t)0x649e, (q15_t)0xb0e3, + (q15_t)0x649b, (q15_t)0xb0de, (q15_t)0x6497, (q15_t)0xb0d9, (q15_t)0x6493, (q15_t)0xb0d4, (q15_t)0x648f, (q15_t)0xb0cf, + (q15_t)0x648b, (q15_t)0xb0ca, (q15_t)0x6487, (q15_t)0xb0c5, (q15_t)0x6483, (q15_t)0xb0c0, (q15_t)0x647f, (q15_t)0xb0bb, + (q15_t)0x647b, (q15_t)0xb0b6, (q15_t)0x6478, (q15_t)0xb0b1, (q15_t)0x6474, (q15_t)0xb0ac, (q15_t)0x6470, (q15_t)0xb0a7, + (q15_t)0x646c, (q15_t)0xb0a2, (q15_t)0x6468, (q15_t)0xb09e, (q15_t)0x6464, (q15_t)0xb099, (q15_t)0x6460, (q15_t)0xb094, + (q15_t)0x645c, (q15_t)0xb08f, (q15_t)0x6458, (q15_t)0xb08a, (q15_t)0x6454, (q15_t)0xb085, (q15_t)0x6451, (q15_t)0xb080, + (q15_t)0x644d, (q15_t)0xb07b, (q15_t)0x6449, (q15_t)0xb076, (q15_t)0x6445, (q15_t)0xb071, (q15_t)0x6441, (q15_t)0xb06c, + (q15_t)0x643d, (q15_t)0xb067, (q15_t)0x6439, (q15_t)0xb062, (q15_t)0x6435, (q15_t)0xb05e, (q15_t)0x6431, (q15_t)0xb059, + (q15_t)0x642d, (q15_t)0xb054, (q15_t)0x6429, (q15_t)0xb04f, (q15_t)0x6426, (q15_t)0xb04a, (q15_t)0x6422, (q15_t)0xb045, + (q15_t)0x641e, (q15_t)0xb040, (q15_t)0x641a, (q15_t)0xb03b, (q15_t)0x6416, (q15_t)0xb036, (q15_t)0x6412, (q15_t)0xb031, + (q15_t)0x640e, (q15_t)0xb02c, (q15_t)0x640a, (q15_t)0xb027, (q15_t)0x6406, (q15_t)0xb023, (q15_t)0x6402, (q15_t)0xb01e, + (q15_t)0x63fe, (q15_t)0xb019, (q15_t)0x63fa, (q15_t)0xb014, (q15_t)0x63f7, (q15_t)0xb00f, (q15_t)0x63f3, (q15_t)0xb00a, + (q15_t)0x63ef, (q15_t)0xb005, (q15_t)0x63eb, (q15_t)0xb000, (q15_t)0x63e7, (q15_t)0xaffb, (q15_t)0x63e3, (q15_t)0xaff6, + (q15_t)0x63df, (q15_t)0xaff1, (q15_t)0x63db, (q15_t)0xafed, (q15_t)0x63d7, (q15_t)0xafe8, (q15_t)0x63d3, (q15_t)0xafe3, + (q15_t)0x63cf, (q15_t)0xafde, (q15_t)0x63cb, (q15_t)0xafd9, (q15_t)0x63c7, (q15_t)0xafd4, (q15_t)0x63c3, (q15_t)0xafcf, + (q15_t)0x63c0, (q15_t)0xafca, (q15_t)0x63bc, (q15_t)0xafc5, (q15_t)0x63b8, (q15_t)0xafc1, (q15_t)0x63b4, (q15_t)0xafbc, + (q15_t)0x63b0, (q15_t)0xafb7, (q15_t)0x63ac, (q15_t)0xafb2, (q15_t)0x63a8, (q15_t)0xafad, (q15_t)0x63a4, (q15_t)0xafa8, + (q15_t)0x63a0, (q15_t)0xafa3, (q15_t)0x639c, (q15_t)0xaf9e, (q15_t)0x6398, (q15_t)0xaf99, (q15_t)0x6394, (q15_t)0xaf94, + (q15_t)0x6390, (q15_t)0xaf90, (q15_t)0x638c, (q15_t)0xaf8b, (q15_t)0x6388, (q15_t)0xaf86, (q15_t)0x6384, (q15_t)0xaf81, + (q15_t)0x6380, (q15_t)0xaf7c, (q15_t)0x637c, (q15_t)0xaf77, (q15_t)0x6378, (q15_t)0xaf72, (q15_t)0x6375, (q15_t)0xaf6d, + (q15_t)0x6371, (q15_t)0xaf69, (q15_t)0x636d, (q15_t)0xaf64, (q15_t)0x6369, (q15_t)0xaf5f, (q15_t)0x6365, (q15_t)0xaf5a, + (q15_t)0x6361, (q15_t)0xaf55, (q15_t)0x635d, (q15_t)0xaf50, (q15_t)0x6359, (q15_t)0xaf4b, (q15_t)0x6355, (q15_t)0xaf46, + (q15_t)0x6351, (q15_t)0xaf41, (q15_t)0x634d, (q15_t)0xaf3d, (q15_t)0x6349, (q15_t)0xaf38, (q15_t)0x6345, (q15_t)0xaf33, + (q15_t)0x6341, (q15_t)0xaf2e, (q15_t)0x633d, (q15_t)0xaf29, (q15_t)0x6339, (q15_t)0xaf24, (q15_t)0x6335, (q15_t)0xaf1f, + (q15_t)0x6331, (q15_t)0xaf1b, (q15_t)0x632d, (q15_t)0xaf16, (q15_t)0x6329, (q15_t)0xaf11, (q15_t)0x6325, (q15_t)0xaf0c, + (q15_t)0x6321, (q15_t)0xaf07, (q15_t)0x631d, (q15_t)0xaf02, (q15_t)0x6319, (q15_t)0xaefd, (q15_t)0x6315, (q15_t)0xaef8, + (q15_t)0x6311, (q15_t)0xaef4, (q15_t)0x630d, (q15_t)0xaeef, (q15_t)0x6309, (q15_t)0xaeea, (q15_t)0x6305, (q15_t)0xaee5, + (q15_t)0x6301, (q15_t)0xaee0, (q15_t)0x62fd, (q15_t)0xaedb, (q15_t)0x62f9, (q15_t)0xaed6, (q15_t)0x62f5, (q15_t)0xaed2, + (q15_t)0x62f2, (q15_t)0xaecd, (q15_t)0x62ee, (q15_t)0xaec8, (q15_t)0x62ea, (q15_t)0xaec3, (q15_t)0x62e6, (q15_t)0xaebe, + (q15_t)0x62e2, (q15_t)0xaeb9, (q15_t)0x62de, (q15_t)0xaeb4, (q15_t)0x62da, (q15_t)0xaeb0, (q15_t)0x62d6, (q15_t)0xaeab, + (q15_t)0x62d2, (q15_t)0xaea6, (q15_t)0x62ce, (q15_t)0xaea1, (q15_t)0x62ca, (q15_t)0xae9c, (q15_t)0x62c6, (q15_t)0xae97, + (q15_t)0x62c2, (q15_t)0xae92, (q15_t)0x62be, (q15_t)0xae8e, (q15_t)0x62ba, (q15_t)0xae89, (q15_t)0x62b6, (q15_t)0xae84, + (q15_t)0x62b2, (q15_t)0xae7f, (q15_t)0x62ae, (q15_t)0xae7a, (q15_t)0x62aa, (q15_t)0xae75, (q15_t)0x62a6, (q15_t)0xae71, + (q15_t)0x62a2, (q15_t)0xae6c, (q15_t)0x629e, (q15_t)0xae67, (q15_t)0x629a, (q15_t)0xae62, (q15_t)0x6296, (q15_t)0xae5d, + (q15_t)0x6292, (q15_t)0xae58, (q15_t)0x628e, (q15_t)0xae54, (q15_t)0x628a, (q15_t)0xae4f, (q15_t)0x6286, (q15_t)0xae4a, + (q15_t)0x6282, (q15_t)0xae45, (q15_t)0x627e, (q15_t)0xae40, (q15_t)0x627a, (q15_t)0xae3b, (q15_t)0x6275, (q15_t)0xae37, + (q15_t)0x6271, (q15_t)0xae32, (q15_t)0x626d, (q15_t)0xae2d, (q15_t)0x6269, (q15_t)0xae28, (q15_t)0x6265, (q15_t)0xae23, + (q15_t)0x6261, (q15_t)0xae1e, (q15_t)0x625d, (q15_t)0xae1a, (q15_t)0x6259, (q15_t)0xae15, (q15_t)0x6255, (q15_t)0xae10, + (q15_t)0x6251, (q15_t)0xae0b, (q15_t)0x624d, (q15_t)0xae06, (q15_t)0x6249, (q15_t)0xae01, (q15_t)0x6245, (q15_t)0xadfd, + (q15_t)0x6241, (q15_t)0xadf8, (q15_t)0x623d, (q15_t)0xadf3, (q15_t)0x6239, (q15_t)0xadee, (q15_t)0x6235, (q15_t)0xade9, + (q15_t)0x6231, (q15_t)0xade4, (q15_t)0x622d, (q15_t)0xade0, (q15_t)0x6229, (q15_t)0xaddb, (q15_t)0x6225, (q15_t)0xadd6, + (q15_t)0x6221, (q15_t)0xadd1, (q15_t)0x621d, (q15_t)0xadcc, (q15_t)0x6219, (q15_t)0xadc8, (q15_t)0x6215, (q15_t)0xadc3, + (q15_t)0x6211, (q15_t)0xadbe, (q15_t)0x620d, (q15_t)0xadb9, (q15_t)0x6209, (q15_t)0xadb4, (q15_t)0x6205, (q15_t)0xadaf, + (q15_t)0x6201, (q15_t)0xadab, (q15_t)0x61fd, (q15_t)0xada6, (q15_t)0x61f9, (q15_t)0xada1, (q15_t)0x61f5, (q15_t)0xad9c, + (q15_t)0x61f1, (q15_t)0xad97, (q15_t)0x61ec, (q15_t)0xad93, (q15_t)0x61e8, (q15_t)0xad8e, (q15_t)0x61e4, (q15_t)0xad89, + (q15_t)0x61e0, (q15_t)0xad84, (q15_t)0x61dc, (q15_t)0xad7f, (q15_t)0x61d8, (q15_t)0xad7b, (q15_t)0x61d4, (q15_t)0xad76, + (q15_t)0x61d0, (q15_t)0xad71, (q15_t)0x61cc, (q15_t)0xad6c, (q15_t)0x61c8, (q15_t)0xad67, (q15_t)0x61c4, (q15_t)0xad63, + (q15_t)0x61c0, (q15_t)0xad5e, (q15_t)0x61bc, (q15_t)0xad59, (q15_t)0x61b8, (q15_t)0xad54, (q15_t)0x61b4, (q15_t)0xad4f, + (q15_t)0x61b0, (q15_t)0xad4b, (q15_t)0x61ac, (q15_t)0xad46, (q15_t)0x61a8, (q15_t)0xad41, (q15_t)0x61a3, (q15_t)0xad3c, + (q15_t)0x619f, (q15_t)0xad37, (q15_t)0x619b, (q15_t)0xad33, (q15_t)0x6197, (q15_t)0xad2e, (q15_t)0x6193, (q15_t)0xad29, + (q15_t)0x618f, (q15_t)0xad24, (q15_t)0x618b, (q15_t)0xad1f, (q15_t)0x6187, (q15_t)0xad1b, (q15_t)0x6183, (q15_t)0xad16, + (q15_t)0x617f, (q15_t)0xad11, (q15_t)0x617b, (q15_t)0xad0c, (q15_t)0x6177, (q15_t)0xad08, (q15_t)0x6173, (q15_t)0xad03, + (q15_t)0x616f, (q15_t)0xacfe, (q15_t)0x616b, (q15_t)0xacf9, (q15_t)0x6166, (q15_t)0xacf4, (q15_t)0x6162, (q15_t)0xacf0, + (q15_t)0x615e, (q15_t)0xaceb, (q15_t)0x615a, (q15_t)0xace6, (q15_t)0x6156, (q15_t)0xace1, (q15_t)0x6152, (q15_t)0xacdd, + (q15_t)0x614e, (q15_t)0xacd8, (q15_t)0x614a, (q15_t)0xacd3, (q15_t)0x6146, (q15_t)0xacce, (q15_t)0x6142, (q15_t)0xacc9, + (q15_t)0x613e, (q15_t)0xacc5, (q15_t)0x613a, (q15_t)0xacc0, (q15_t)0x6135, (q15_t)0xacbb, (q15_t)0x6131, (q15_t)0xacb6, + (q15_t)0x612d, (q15_t)0xacb2, (q15_t)0x6129, (q15_t)0xacad, (q15_t)0x6125, (q15_t)0xaca8, (q15_t)0x6121, (q15_t)0xaca3, + (q15_t)0x611d, (q15_t)0xac9e, (q15_t)0x6119, (q15_t)0xac9a, (q15_t)0x6115, (q15_t)0xac95, (q15_t)0x6111, (q15_t)0xac90, + (q15_t)0x610d, (q15_t)0xac8b, (q15_t)0x6108, (q15_t)0xac87, (q15_t)0x6104, (q15_t)0xac82, (q15_t)0x6100, (q15_t)0xac7d, + (q15_t)0x60fc, (q15_t)0xac78, (q15_t)0x60f8, (q15_t)0xac74, (q15_t)0x60f4, (q15_t)0xac6f, (q15_t)0x60f0, (q15_t)0xac6a, + (q15_t)0x60ec, (q15_t)0xac65, (q15_t)0x60e8, (q15_t)0xac61, (q15_t)0x60e4, (q15_t)0xac5c, (q15_t)0x60df, (q15_t)0xac57, + (q15_t)0x60db, (q15_t)0xac52, (q15_t)0x60d7, (q15_t)0xac4e, (q15_t)0x60d3, (q15_t)0xac49, (q15_t)0x60cf, (q15_t)0xac44, + (q15_t)0x60cb, (q15_t)0xac3f, (q15_t)0x60c7, (q15_t)0xac3b, (q15_t)0x60c3, (q15_t)0xac36, (q15_t)0x60bf, (q15_t)0xac31, + (q15_t)0x60ba, (q15_t)0xac2c, (q15_t)0x60b6, (q15_t)0xac28, (q15_t)0x60b2, (q15_t)0xac23, (q15_t)0x60ae, (q15_t)0xac1e, + (q15_t)0x60aa, (q15_t)0xac19, (q15_t)0x60a6, (q15_t)0xac15, (q15_t)0x60a2, (q15_t)0xac10, (q15_t)0x609e, (q15_t)0xac0b, + (q15_t)0x6099, (q15_t)0xac06, (q15_t)0x6095, (q15_t)0xac02, (q15_t)0x6091, (q15_t)0xabfd, (q15_t)0x608d, (q15_t)0xabf8, + (q15_t)0x6089, (q15_t)0xabf3, (q15_t)0x6085, (q15_t)0xabef, (q15_t)0x6081, (q15_t)0xabea, (q15_t)0x607d, (q15_t)0xabe5, + (q15_t)0x6078, (q15_t)0xabe0, (q15_t)0x6074, (q15_t)0xabdc, (q15_t)0x6070, (q15_t)0xabd7, (q15_t)0x606c, (q15_t)0xabd2, + (q15_t)0x6068, (q15_t)0xabcd, (q15_t)0x6064, (q15_t)0xabc9, (q15_t)0x6060, (q15_t)0xabc4, (q15_t)0x605c, (q15_t)0xabbf, + (q15_t)0x6057, (q15_t)0xabbb, (q15_t)0x6053, (q15_t)0xabb6, (q15_t)0x604f, (q15_t)0xabb1, (q15_t)0x604b, (q15_t)0xabac, + (q15_t)0x6047, (q15_t)0xaba8, (q15_t)0x6043, (q15_t)0xaba3, (q15_t)0x603f, (q15_t)0xab9e, (q15_t)0x603a, (q15_t)0xab99, + (q15_t)0x6036, (q15_t)0xab95, (q15_t)0x6032, (q15_t)0xab90, (q15_t)0x602e, (q15_t)0xab8b, (q15_t)0x602a, (q15_t)0xab87, + (q15_t)0x6026, (q15_t)0xab82, (q15_t)0x6022, (q15_t)0xab7d, (q15_t)0x601d, (q15_t)0xab78, (q15_t)0x6019, (q15_t)0xab74, + (q15_t)0x6015, (q15_t)0xab6f, (q15_t)0x6011, (q15_t)0xab6a, (q15_t)0x600d, (q15_t)0xab66, (q15_t)0x6009, (q15_t)0xab61, + (q15_t)0x6004, (q15_t)0xab5c, (q15_t)0x6000, (q15_t)0xab57, (q15_t)0x5ffc, (q15_t)0xab53, (q15_t)0x5ff8, (q15_t)0xab4e, + (q15_t)0x5ff4, (q15_t)0xab49, (q15_t)0x5ff0, (q15_t)0xab45, (q15_t)0x5fec, (q15_t)0xab40, (q15_t)0x5fe7, (q15_t)0xab3b, + (q15_t)0x5fe3, (q15_t)0xab36, (q15_t)0x5fdf, (q15_t)0xab32, (q15_t)0x5fdb, (q15_t)0xab2d, (q15_t)0x5fd7, (q15_t)0xab28, + (q15_t)0x5fd3, (q15_t)0xab24, (q15_t)0x5fce, (q15_t)0xab1f, (q15_t)0x5fca, (q15_t)0xab1a, (q15_t)0x5fc6, (q15_t)0xab16, + (q15_t)0x5fc2, (q15_t)0xab11, (q15_t)0x5fbe, (q15_t)0xab0c, (q15_t)0x5fba, (q15_t)0xab07, (q15_t)0x5fb5, (q15_t)0xab03, + (q15_t)0x5fb1, (q15_t)0xaafe, (q15_t)0x5fad, (q15_t)0xaaf9, (q15_t)0x5fa9, (q15_t)0xaaf5, (q15_t)0x5fa5, (q15_t)0xaaf0, + (q15_t)0x5fa0, (q15_t)0xaaeb, (q15_t)0x5f9c, (q15_t)0xaae7, (q15_t)0x5f98, (q15_t)0xaae2, (q15_t)0x5f94, (q15_t)0xaadd, + (q15_t)0x5f90, (q15_t)0xaad8, (q15_t)0x5f8c, (q15_t)0xaad4, (q15_t)0x5f87, (q15_t)0xaacf, (q15_t)0x5f83, (q15_t)0xaaca, + (q15_t)0x5f7f, (q15_t)0xaac6, (q15_t)0x5f7b, (q15_t)0xaac1, (q15_t)0x5f77, (q15_t)0xaabc, (q15_t)0x5f72, (q15_t)0xaab8, + (q15_t)0x5f6e, (q15_t)0xaab3, (q15_t)0x5f6a, (q15_t)0xaaae, (q15_t)0x5f66, (q15_t)0xaaaa, (q15_t)0x5f62, (q15_t)0xaaa5, + (q15_t)0x5f5e, (q15_t)0xaaa0, (q15_t)0x5f59, (q15_t)0xaa9c, (q15_t)0x5f55, (q15_t)0xaa97, (q15_t)0x5f51, (q15_t)0xaa92, + (q15_t)0x5f4d, (q15_t)0xaa8e, (q15_t)0x5f49, (q15_t)0xaa89, (q15_t)0x5f44, (q15_t)0xaa84, (q15_t)0x5f40, (q15_t)0xaa7f, + (q15_t)0x5f3c, (q15_t)0xaa7b, (q15_t)0x5f38, (q15_t)0xaa76, (q15_t)0x5f34, (q15_t)0xaa71, (q15_t)0x5f2f, (q15_t)0xaa6d, + (q15_t)0x5f2b, (q15_t)0xaa68, (q15_t)0x5f27, (q15_t)0xaa63, (q15_t)0x5f23, (q15_t)0xaa5f, (q15_t)0x5f1f, (q15_t)0xaa5a, + (q15_t)0x5f1a, (q15_t)0xaa55, (q15_t)0x5f16, (q15_t)0xaa51, (q15_t)0x5f12, (q15_t)0xaa4c, (q15_t)0x5f0e, (q15_t)0xaa47, + (q15_t)0x5f0a, (q15_t)0xaa43, (q15_t)0x5f05, (q15_t)0xaa3e, (q15_t)0x5f01, (q15_t)0xaa39, (q15_t)0x5efd, (q15_t)0xaa35, + (q15_t)0x5ef9, (q15_t)0xaa30, (q15_t)0x5ef5, (q15_t)0xaa2b, (q15_t)0x5ef0, (q15_t)0xaa27, (q15_t)0x5eec, (q15_t)0xaa22, + (q15_t)0x5ee8, (q15_t)0xaa1d, (q15_t)0x5ee4, (q15_t)0xaa19, (q15_t)0x5edf, (q15_t)0xaa14, (q15_t)0x5edb, (q15_t)0xaa10, + (q15_t)0x5ed7, (q15_t)0xaa0b, (q15_t)0x5ed3, (q15_t)0xaa06, (q15_t)0x5ecf, (q15_t)0xaa02, (q15_t)0x5eca, (q15_t)0xa9fd, + (q15_t)0x5ec6, (q15_t)0xa9f8, (q15_t)0x5ec2, (q15_t)0xa9f4, (q15_t)0x5ebe, (q15_t)0xa9ef, (q15_t)0x5eb9, (q15_t)0xa9ea, + (q15_t)0x5eb5, (q15_t)0xa9e6, (q15_t)0x5eb1, (q15_t)0xa9e1, (q15_t)0x5ead, (q15_t)0xa9dc, (q15_t)0x5ea9, (q15_t)0xa9d8, + (q15_t)0x5ea4, (q15_t)0xa9d3, (q15_t)0x5ea0, (q15_t)0xa9ce, (q15_t)0x5e9c, (q15_t)0xa9ca, (q15_t)0x5e98, (q15_t)0xa9c5, + (q15_t)0x5e93, (q15_t)0xa9c0, (q15_t)0x5e8f, (q15_t)0xa9bc, (q15_t)0x5e8b, (q15_t)0xa9b7, (q15_t)0x5e87, (q15_t)0xa9b3, + (q15_t)0x5e82, (q15_t)0xa9ae, (q15_t)0x5e7e, (q15_t)0xa9a9, (q15_t)0x5e7a, (q15_t)0xa9a5, (q15_t)0x5e76, (q15_t)0xa9a0, + (q15_t)0x5e71, (q15_t)0xa99b, (q15_t)0x5e6d, (q15_t)0xa997, (q15_t)0x5e69, (q15_t)0xa992, (q15_t)0x5e65, (q15_t)0xa98d, + (q15_t)0x5e60, (q15_t)0xa989, (q15_t)0x5e5c, (q15_t)0xa984, (q15_t)0x5e58, (q15_t)0xa980, (q15_t)0x5e54, (q15_t)0xa97b, + (q15_t)0x5e50, (q15_t)0xa976, (q15_t)0x5e4b, (q15_t)0xa972, (q15_t)0x5e47, (q15_t)0xa96d, (q15_t)0x5e43, (q15_t)0xa968, + (q15_t)0x5e3f, (q15_t)0xa964, (q15_t)0x5e3a, (q15_t)0xa95f, (q15_t)0x5e36, (q15_t)0xa95b, (q15_t)0x5e32, (q15_t)0xa956, + (q15_t)0x5e2d, (q15_t)0xa951, (q15_t)0x5e29, (q15_t)0xa94d, (q15_t)0x5e25, (q15_t)0xa948, (q15_t)0x5e21, (q15_t)0xa943, + (q15_t)0x5e1c, (q15_t)0xa93f, (q15_t)0x5e18, (q15_t)0xa93a, (q15_t)0x5e14, (q15_t)0xa936, (q15_t)0x5e10, (q15_t)0xa931, + (q15_t)0x5e0b, (q15_t)0xa92c, (q15_t)0x5e07, (q15_t)0xa928, (q15_t)0x5e03, (q15_t)0xa923, (q15_t)0x5dff, (q15_t)0xa91e, + (q15_t)0x5dfa, (q15_t)0xa91a, (q15_t)0x5df6, (q15_t)0xa915, (q15_t)0x5df2, (q15_t)0xa911, (q15_t)0x5dee, (q15_t)0xa90c, + (q15_t)0x5de9, (q15_t)0xa907, (q15_t)0x5de5, (q15_t)0xa903, (q15_t)0x5de1, (q15_t)0xa8fe, (q15_t)0x5ddc, (q15_t)0xa8fa, + (q15_t)0x5dd8, (q15_t)0xa8f5, (q15_t)0x5dd4, (q15_t)0xa8f0, (q15_t)0x5dd0, (q15_t)0xa8ec, (q15_t)0x5dcb, (q15_t)0xa8e7, + (q15_t)0x5dc7, (q15_t)0xa8e3, (q15_t)0x5dc3, (q15_t)0xa8de, (q15_t)0x5dbf, (q15_t)0xa8d9, (q15_t)0x5dba, (q15_t)0xa8d5, + (q15_t)0x5db6, (q15_t)0xa8d0, (q15_t)0x5db2, (q15_t)0xa8cc, (q15_t)0x5dad, (q15_t)0xa8c7, (q15_t)0x5da9, (q15_t)0xa8c2, + (q15_t)0x5da5, (q15_t)0xa8be, (q15_t)0x5da1, (q15_t)0xa8b9, (q15_t)0x5d9c, (q15_t)0xa8b5, (q15_t)0x5d98, (q15_t)0xa8b0, + (q15_t)0x5d94, (q15_t)0xa8ab, (q15_t)0x5d8f, (q15_t)0xa8a7, (q15_t)0x5d8b, (q15_t)0xa8a2, (q15_t)0x5d87, (q15_t)0xa89e, + (q15_t)0x5d83, (q15_t)0xa899, (q15_t)0x5d7e, (q15_t)0xa894, (q15_t)0x5d7a, (q15_t)0xa890, (q15_t)0x5d76, (q15_t)0xa88b, + (q15_t)0x5d71, (q15_t)0xa887, (q15_t)0x5d6d, (q15_t)0xa882, (q15_t)0x5d69, (q15_t)0xa87d, (q15_t)0x5d65, (q15_t)0xa879, + (q15_t)0x5d60, (q15_t)0xa874, (q15_t)0x5d5c, (q15_t)0xa870, (q15_t)0x5d58, (q15_t)0xa86b, (q15_t)0x5d53, (q15_t)0xa867, + (q15_t)0x5d4f, (q15_t)0xa862, (q15_t)0x5d4b, (q15_t)0xa85d, (q15_t)0x5d46, (q15_t)0xa859, (q15_t)0x5d42, (q15_t)0xa854, + (q15_t)0x5d3e, (q15_t)0xa850, (q15_t)0x5d3a, (q15_t)0xa84b, (q15_t)0x5d35, (q15_t)0xa847, (q15_t)0x5d31, (q15_t)0xa842, + (q15_t)0x5d2d, (q15_t)0xa83d, (q15_t)0x5d28, (q15_t)0xa839, (q15_t)0x5d24, (q15_t)0xa834, (q15_t)0x5d20, (q15_t)0xa830, + (q15_t)0x5d1b, (q15_t)0xa82b, (q15_t)0x5d17, (q15_t)0xa827, (q15_t)0x5d13, (q15_t)0xa822, (q15_t)0x5d0e, (q15_t)0xa81d, + (q15_t)0x5d0a, (q15_t)0xa819, (q15_t)0x5d06, (q15_t)0xa814, (q15_t)0x5d01, (q15_t)0xa810, (q15_t)0x5cfd, (q15_t)0xa80b, + (q15_t)0x5cf9, (q15_t)0xa807, (q15_t)0x5cf5, (q15_t)0xa802, (q15_t)0x5cf0, (q15_t)0xa7fd, (q15_t)0x5cec, (q15_t)0xa7f9, + (q15_t)0x5ce8, (q15_t)0xa7f4, (q15_t)0x5ce3, (q15_t)0xa7f0, (q15_t)0x5cdf, (q15_t)0xa7eb, (q15_t)0x5cdb, (q15_t)0xa7e7, + (q15_t)0x5cd6, (q15_t)0xa7e2, (q15_t)0x5cd2, (q15_t)0xa7de, (q15_t)0x5cce, (q15_t)0xa7d9, (q15_t)0x5cc9, (q15_t)0xa7d4, + (q15_t)0x5cc5, (q15_t)0xa7d0, (q15_t)0x5cc1, (q15_t)0xa7cb, (q15_t)0x5cbc, (q15_t)0xa7c7, (q15_t)0x5cb8, (q15_t)0xa7c2, + (q15_t)0x5cb4, (q15_t)0xa7be, (q15_t)0x5caf, (q15_t)0xa7b9, (q15_t)0x5cab, (q15_t)0xa7b5, (q15_t)0x5ca7, (q15_t)0xa7b0, + (q15_t)0x5ca2, (q15_t)0xa7ab, (q15_t)0x5c9e, (q15_t)0xa7a7, (q15_t)0x5c9a, (q15_t)0xa7a2, (q15_t)0x5c95, (q15_t)0xa79e, + (q15_t)0x5c91, (q15_t)0xa799, (q15_t)0x5c8d, (q15_t)0xa795, (q15_t)0x5c88, (q15_t)0xa790, (q15_t)0x5c84, (q15_t)0xa78c, + (q15_t)0x5c80, (q15_t)0xa787, (q15_t)0x5c7b, (q15_t)0xa783, (q15_t)0x5c77, (q15_t)0xa77e, (q15_t)0x5c73, (q15_t)0xa779, + (q15_t)0x5c6e, (q15_t)0xa775, (q15_t)0x5c6a, (q15_t)0xa770, (q15_t)0x5c66, (q15_t)0xa76c, (q15_t)0x5c61, (q15_t)0xa767, + (q15_t)0x5c5d, (q15_t)0xa763, (q15_t)0x5c58, (q15_t)0xa75e, (q15_t)0x5c54, (q15_t)0xa75a, (q15_t)0x5c50, (q15_t)0xa755, + (q15_t)0x5c4b, (q15_t)0xa751, (q15_t)0x5c47, (q15_t)0xa74c, (q15_t)0x5c43, (q15_t)0xa748, (q15_t)0x5c3e, (q15_t)0xa743, + (q15_t)0x5c3a, (q15_t)0xa73f, (q15_t)0x5c36, (q15_t)0xa73a, (q15_t)0x5c31, (q15_t)0xa735, (q15_t)0x5c2d, (q15_t)0xa731, + (q15_t)0x5c29, (q15_t)0xa72c, (q15_t)0x5c24, (q15_t)0xa728, (q15_t)0x5c20, (q15_t)0xa723, (q15_t)0x5c1b, (q15_t)0xa71f, + (q15_t)0x5c17, (q15_t)0xa71a, (q15_t)0x5c13, (q15_t)0xa716, (q15_t)0x5c0e, (q15_t)0xa711, (q15_t)0x5c0a, (q15_t)0xa70d, + (q15_t)0x5c06, (q15_t)0xa708, (q15_t)0x5c01, (q15_t)0xa704, (q15_t)0x5bfd, (q15_t)0xa6ff, (q15_t)0x5bf9, (q15_t)0xa6fb, + (q15_t)0x5bf4, (q15_t)0xa6f6, (q15_t)0x5bf0, (q15_t)0xa6f2, (q15_t)0x5beb, (q15_t)0xa6ed, (q15_t)0x5be7, (q15_t)0xa6e9, + (q15_t)0x5be3, (q15_t)0xa6e4, (q15_t)0x5bde, (q15_t)0xa6e0, (q15_t)0x5bda, (q15_t)0xa6db, (q15_t)0x5bd6, (q15_t)0xa6d7, + (q15_t)0x5bd1, (q15_t)0xa6d2, (q15_t)0x5bcd, (q15_t)0xa6ce, (q15_t)0x5bc8, (q15_t)0xa6c9, (q15_t)0x5bc4, (q15_t)0xa6c5, + (q15_t)0x5bc0, (q15_t)0xa6c0, (q15_t)0x5bbb, (q15_t)0xa6bc, (q15_t)0x5bb7, (q15_t)0xa6b7, (q15_t)0x5bb2, (q15_t)0xa6b3, + (q15_t)0x5bae, (q15_t)0xa6ae, (q15_t)0x5baa, (q15_t)0xa6aa, (q15_t)0x5ba5, (q15_t)0xa6a5, (q15_t)0x5ba1, (q15_t)0xa6a1, + (q15_t)0x5b9d, (q15_t)0xa69c, (q15_t)0x5b98, (q15_t)0xa698, (q15_t)0x5b94, (q15_t)0xa693, (q15_t)0x5b8f, (q15_t)0xa68f, + (q15_t)0x5b8b, (q15_t)0xa68a, (q15_t)0x5b87, (q15_t)0xa686, (q15_t)0x5b82, (q15_t)0xa681, (q15_t)0x5b7e, (q15_t)0xa67d, + (q15_t)0x5b79, (q15_t)0xa678, (q15_t)0x5b75, (q15_t)0xa674, (q15_t)0x5b71, (q15_t)0xa66f, (q15_t)0x5b6c, (q15_t)0xa66b, + (q15_t)0x5b68, (q15_t)0xa666, (q15_t)0x5b63, (q15_t)0xa662, (q15_t)0x5b5f, (q15_t)0xa65d, (q15_t)0x5b5b, (q15_t)0xa659, + (q15_t)0x5b56, (q15_t)0xa654, (q15_t)0x5b52, (q15_t)0xa650, (q15_t)0x5b4d, (q15_t)0xa64b, (q15_t)0x5b49, (q15_t)0xa647, + (q15_t)0x5b45, (q15_t)0xa642, (q15_t)0x5b40, (q15_t)0xa63e, (q15_t)0x5b3c, (q15_t)0xa639, (q15_t)0x5b37, (q15_t)0xa635, + (q15_t)0x5b33, (q15_t)0xa630, (q15_t)0x5b2f, (q15_t)0xa62c, (q15_t)0x5b2a, (q15_t)0xa627, (q15_t)0x5b26, (q15_t)0xa623, + (q15_t)0x5b21, (q15_t)0xa61f, (q15_t)0x5b1d, (q15_t)0xa61a, (q15_t)0x5b19, (q15_t)0xa616, (q15_t)0x5b14, (q15_t)0xa611, + (q15_t)0x5b10, (q15_t)0xa60d, (q15_t)0x5b0b, (q15_t)0xa608, (q15_t)0x5b07, (q15_t)0xa604, (q15_t)0x5b02, (q15_t)0xa5ff, + (q15_t)0x5afe, (q15_t)0xa5fb, (q15_t)0x5afa, (q15_t)0xa5f6, (q15_t)0x5af5, (q15_t)0xa5f2, (q15_t)0x5af1, (q15_t)0xa5ed, + (q15_t)0x5aec, (q15_t)0xa5e9, (q15_t)0x5ae8, (q15_t)0xa5e4, (q15_t)0x5ae4, (q15_t)0xa5e0, (q15_t)0x5adf, (q15_t)0xa5dc, + (q15_t)0x5adb, (q15_t)0xa5d7, (q15_t)0x5ad6, (q15_t)0xa5d3, (q15_t)0x5ad2, (q15_t)0xa5ce, (q15_t)0x5acd, (q15_t)0xa5ca, + (q15_t)0x5ac9, (q15_t)0xa5c5, (q15_t)0x5ac5, (q15_t)0xa5c1, (q15_t)0x5ac0, (q15_t)0xa5bc, (q15_t)0x5abc, (q15_t)0xa5b8, + (q15_t)0x5ab7, (q15_t)0xa5b3, (q15_t)0x5ab3, (q15_t)0xa5af, (q15_t)0x5aae, (q15_t)0xa5aa, (q15_t)0x5aaa, (q15_t)0xa5a6, + (q15_t)0x5aa5, (q15_t)0xa5a2, (q15_t)0x5aa1, (q15_t)0xa59d, (q15_t)0x5a9d, (q15_t)0xa599, (q15_t)0x5a98, (q15_t)0xa594, + (q15_t)0x5a94, (q15_t)0xa590, (q15_t)0x5a8f, (q15_t)0xa58b, (q15_t)0x5a8b, (q15_t)0xa587, (q15_t)0x5a86, (q15_t)0xa582, + (q15_t)0x5a82, (q15_t)0xa57e, (q15_t)0x5a7e, (q15_t)0xa57a, (q15_t)0x5a79, (q15_t)0xa575, (q15_t)0x5a75, (q15_t)0xa571, + (q15_t)0x5a70, (q15_t)0xa56c, (q15_t)0x5a6c, (q15_t)0xa568, (q15_t)0x5a67, (q15_t)0xa563, (q15_t)0x5a63, (q15_t)0xa55f, + (q15_t)0x5a5e, (q15_t)0xa55b, (q15_t)0x5a5a, (q15_t)0xa556, (q15_t)0x5a56, (q15_t)0xa552, (q15_t)0x5a51, (q15_t)0xa54d, + (q15_t)0x5a4d, (q15_t)0xa549, (q15_t)0x5a48, (q15_t)0xa544, (q15_t)0x5a44, (q15_t)0xa540, (q15_t)0x5a3f, (q15_t)0xa53b, + (q15_t)0x5a3b, (q15_t)0xa537, (q15_t)0x5a36, (q15_t)0xa533, (q15_t)0x5a32, (q15_t)0xa52e, (q15_t)0x5a2d, (q15_t)0xa52a, + (q15_t)0x5a29, (q15_t)0xa525, (q15_t)0x5a24, (q15_t)0xa521, (q15_t)0x5a20, (q15_t)0xa51c, (q15_t)0x5a1c, (q15_t)0xa518, + (q15_t)0x5a17, (q15_t)0xa514, (q15_t)0x5a13, (q15_t)0xa50f, (q15_t)0x5a0e, (q15_t)0xa50b, (q15_t)0x5a0a, (q15_t)0xa506, + (q15_t)0x5a05, (q15_t)0xa502, (q15_t)0x5a01, (q15_t)0xa4fe, (q15_t)0x59fc, (q15_t)0xa4f9, (q15_t)0x59f8, (q15_t)0xa4f5, + (q15_t)0x59f3, (q15_t)0xa4f0, (q15_t)0x59ef, (q15_t)0xa4ec, (q15_t)0x59ea, (q15_t)0xa4e7, (q15_t)0x59e6, (q15_t)0xa4e3, + (q15_t)0x59e1, (q15_t)0xa4df, (q15_t)0x59dd, (q15_t)0xa4da, (q15_t)0x59d9, (q15_t)0xa4d6, (q15_t)0x59d4, (q15_t)0xa4d1, + (q15_t)0x59d0, (q15_t)0xa4cd, (q15_t)0x59cb, (q15_t)0xa4c9, (q15_t)0x59c7, (q15_t)0xa4c4, (q15_t)0x59c2, (q15_t)0xa4c0, + (q15_t)0x59be, (q15_t)0xa4bb, (q15_t)0x59b9, (q15_t)0xa4b7, (q15_t)0x59b5, (q15_t)0xa4b3, (q15_t)0x59b0, (q15_t)0xa4ae, + (q15_t)0x59ac, (q15_t)0xa4aa, (q15_t)0x59a7, (q15_t)0xa4a5, (q15_t)0x59a3, (q15_t)0xa4a1, (q15_t)0x599e, (q15_t)0xa49d, + (q15_t)0x599a, (q15_t)0xa498, (q15_t)0x5995, (q15_t)0xa494, (q15_t)0x5991, (q15_t)0xa48f, (q15_t)0x598c, (q15_t)0xa48b, + (q15_t)0x5988, (q15_t)0xa487, (q15_t)0x5983, (q15_t)0xa482, (q15_t)0x597f, (q15_t)0xa47e, (q15_t)0x597a, (q15_t)0xa479, + (q15_t)0x5976, (q15_t)0xa475, (q15_t)0x5971, (q15_t)0xa471, (q15_t)0x596d, (q15_t)0xa46c, (q15_t)0x5968, (q15_t)0xa468, + (q15_t)0x5964, (q15_t)0xa463, (q15_t)0x595f, (q15_t)0xa45f, (q15_t)0x595b, (q15_t)0xa45b, (q15_t)0x5956, (q15_t)0xa456, + (q15_t)0x5952, (q15_t)0xa452, (q15_t)0x594d, (q15_t)0xa44e, (q15_t)0x5949, (q15_t)0xa449, (q15_t)0x5944, (q15_t)0xa445, + (q15_t)0x5940, (q15_t)0xa440, (q15_t)0x593b, (q15_t)0xa43c, (q15_t)0x5937, (q15_t)0xa438, (q15_t)0x5932, (q15_t)0xa433, + (q15_t)0x592e, (q15_t)0xa42f, (q15_t)0x5929, (q15_t)0xa42a, (q15_t)0x5925, (q15_t)0xa426, (q15_t)0x5920, (q15_t)0xa422, + (q15_t)0x591c, (q15_t)0xa41d, (q15_t)0x5917, (q15_t)0xa419, (q15_t)0x5913, (q15_t)0xa415, (q15_t)0x590e, (q15_t)0xa410, + (q15_t)0x590a, (q15_t)0xa40c, (q15_t)0x5905, (q15_t)0xa407, (q15_t)0x5901, (q15_t)0xa403, (q15_t)0x58fc, (q15_t)0xa3ff, + (q15_t)0x58f8, (q15_t)0xa3fa, (q15_t)0x58f3, (q15_t)0xa3f6, (q15_t)0x58ef, (q15_t)0xa3f2, (q15_t)0x58ea, (q15_t)0xa3ed, + (q15_t)0x58e6, (q15_t)0xa3e9, (q15_t)0x58e1, (q15_t)0xa3e5, (q15_t)0x58dd, (q15_t)0xa3e0, (q15_t)0x58d8, (q15_t)0xa3dc, + (q15_t)0x58d4, (q15_t)0xa3d7, (q15_t)0x58cf, (q15_t)0xa3d3, (q15_t)0x58cb, (q15_t)0xa3cf, (q15_t)0x58c6, (q15_t)0xa3ca, + (q15_t)0x58c1, (q15_t)0xa3c6, (q15_t)0x58bd, (q15_t)0xa3c2, (q15_t)0x58b8, (q15_t)0xa3bd, (q15_t)0x58b4, (q15_t)0xa3b9, + (q15_t)0x58af, (q15_t)0xa3b5, (q15_t)0x58ab, (q15_t)0xa3b0, (q15_t)0x58a6, (q15_t)0xa3ac, (q15_t)0x58a2, (q15_t)0xa3a8, + (q15_t)0x589d, (q15_t)0xa3a3, (q15_t)0x5899, (q15_t)0xa39f, (q15_t)0x5894, (q15_t)0xa39a, (q15_t)0x5890, (q15_t)0xa396, + (q15_t)0x588b, (q15_t)0xa392, (q15_t)0x5887, (q15_t)0xa38d, (q15_t)0x5882, (q15_t)0xa389, (q15_t)0x587d, (q15_t)0xa385, + (q15_t)0x5879, (q15_t)0xa380, (q15_t)0x5874, (q15_t)0xa37c, (q15_t)0x5870, (q15_t)0xa378, (q15_t)0x586b, (q15_t)0xa373, + (q15_t)0x5867, (q15_t)0xa36f, (q15_t)0x5862, (q15_t)0xa36b, (q15_t)0x585e, (q15_t)0xa366, (q15_t)0x5859, (q15_t)0xa362, + (q15_t)0x5855, (q15_t)0xa35e, (q15_t)0x5850, (q15_t)0xa359, (q15_t)0x584b, (q15_t)0xa355, (q15_t)0x5847, (q15_t)0xa351, + (q15_t)0x5842, (q15_t)0xa34c, (q15_t)0x583e, (q15_t)0xa348, (q15_t)0x5839, (q15_t)0xa344, (q15_t)0x5835, (q15_t)0xa33f, + (q15_t)0x5830, (q15_t)0xa33b, (q15_t)0x582c, (q15_t)0xa337, (q15_t)0x5827, (q15_t)0xa332, (q15_t)0x5822, (q15_t)0xa32e, + (q15_t)0x581e, (q15_t)0xa32a, (q15_t)0x5819, (q15_t)0xa325, (q15_t)0x5815, (q15_t)0xa321, (q15_t)0x5810, (q15_t)0xa31d, + (q15_t)0x580c, (q15_t)0xa318, (q15_t)0x5807, (q15_t)0xa314, (q15_t)0x5803, (q15_t)0xa310, (q15_t)0x57fe, (q15_t)0xa30b, + (q15_t)0x57f9, (q15_t)0xa307, (q15_t)0x57f5, (q15_t)0xa303, (q15_t)0x57f0, (q15_t)0xa2ff, (q15_t)0x57ec, (q15_t)0xa2fa, + (q15_t)0x57e7, (q15_t)0xa2f6, (q15_t)0x57e3, (q15_t)0xa2f2, (q15_t)0x57de, (q15_t)0xa2ed, (q15_t)0x57d9, (q15_t)0xa2e9, + (q15_t)0x57d5, (q15_t)0xa2e5, (q15_t)0x57d0, (q15_t)0xa2e0, (q15_t)0x57cc, (q15_t)0xa2dc, (q15_t)0x57c7, (q15_t)0xa2d8, + (q15_t)0x57c3, (q15_t)0xa2d3, (q15_t)0x57be, (q15_t)0xa2cf, (q15_t)0x57b9, (q15_t)0xa2cb, (q15_t)0x57b5, (q15_t)0xa2c6, + (q15_t)0x57b0, (q15_t)0xa2c2, (q15_t)0x57ac, (q15_t)0xa2be, (q15_t)0x57a7, (q15_t)0xa2ba, (q15_t)0x57a3, (q15_t)0xa2b5, + (q15_t)0x579e, (q15_t)0xa2b1, (q15_t)0x5799, (q15_t)0xa2ad, (q15_t)0x5795, (q15_t)0xa2a8, (q15_t)0x5790, (q15_t)0xa2a4, + (q15_t)0x578c, (q15_t)0xa2a0, (q15_t)0x5787, (q15_t)0xa29b, (q15_t)0x5783, (q15_t)0xa297, (q15_t)0x577e, (q15_t)0xa293, + (q15_t)0x5779, (q15_t)0xa28f, (q15_t)0x5775, (q15_t)0xa28a, (q15_t)0x5770, (q15_t)0xa286, (q15_t)0x576c, (q15_t)0xa282, + (q15_t)0x5767, (q15_t)0xa27d, (q15_t)0x5762, (q15_t)0xa279, (q15_t)0x575e, (q15_t)0xa275, (q15_t)0x5759, (q15_t)0xa271, + (q15_t)0x5755, (q15_t)0xa26c, (q15_t)0x5750, (q15_t)0xa268, (q15_t)0x574b, (q15_t)0xa264, (q15_t)0x5747, (q15_t)0xa25f, + (q15_t)0x5742, (q15_t)0xa25b, (q15_t)0x573e, (q15_t)0xa257, (q15_t)0x5739, (q15_t)0xa253, (q15_t)0x5734, (q15_t)0xa24e, + (q15_t)0x5730, (q15_t)0xa24a, (q15_t)0x572b, (q15_t)0xa246, (q15_t)0x5727, (q15_t)0xa241, (q15_t)0x5722, (q15_t)0xa23d, + (q15_t)0x571d, (q15_t)0xa239, (q15_t)0x5719, (q15_t)0xa235, (q15_t)0x5714, (q15_t)0xa230, (q15_t)0x5710, (q15_t)0xa22c, + (q15_t)0x570b, (q15_t)0xa228, (q15_t)0x5706, (q15_t)0xa224, (q15_t)0x5702, (q15_t)0xa21f, (q15_t)0x56fd, (q15_t)0xa21b, + (q15_t)0x56f9, (q15_t)0xa217, (q15_t)0x56f4, (q15_t)0xa212, (q15_t)0x56ef, (q15_t)0xa20e, (q15_t)0x56eb, (q15_t)0xa20a, + (q15_t)0x56e6, (q15_t)0xa206, (q15_t)0x56e2, (q15_t)0xa201, (q15_t)0x56dd, (q15_t)0xa1fd, (q15_t)0x56d8, (q15_t)0xa1f9, + (q15_t)0x56d4, (q15_t)0xa1f5, (q15_t)0x56cf, (q15_t)0xa1f0, (q15_t)0x56ca, (q15_t)0xa1ec, (q15_t)0x56c6, (q15_t)0xa1e8, + (q15_t)0x56c1, (q15_t)0xa1e4, (q15_t)0x56bd, (q15_t)0xa1df, (q15_t)0x56b8, (q15_t)0xa1db, (q15_t)0x56b3, (q15_t)0xa1d7, + (q15_t)0x56af, (q15_t)0xa1d3, (q15_t)0x56aa, (q15_t)0xa1ce, (q15_t)0x56a5, (q15_t)0xa1ca, (q15_t)0x56a1, (q15_t)0xa1c6, + (q15_t)0x569c, (q15_t)0xa1c1, (q15_t)0x5698, (q15_t)0xa1bd, (q15_t)0x5693, (q15_t)0xa1b9, (q15_t)0x568e, (q15_t)0xa1b5, + (q15_t)0x568a, (q15_t)0xa1b0, (q15_t)0x5685, (q15_t)0xa1ac, (q15_t)0x5680, (q15_t)0xa1a8, (q15_t)0x567c, (q15_t)0xa1a4, + (q15_t)0x5677, (q15_t)0xa1a0, (q15_t)0x5673, (q15_t)0xa19b, (q15_t)0x566e, (q15_t)0xa197, (q15_t)0x5669, (q15_t)0xa193, + (q15_t)0x5665, (q15_t)0xa18f, (q15_t)0x5660, (q15_t)0xa18a, (q15_t)0x565b, (q15_t)0xa186, (q15_t)0x5657, (q15_t)0xa182, + (q15_t)0x5652, (q15_t)0xa17e, (q15_t)0x564d, (q15_t)0xa179, (q15_t)0x5649, (q15_t)0xa175, (q15_t)0x5644, (q15_t)0xa171, + (q15_t)0x5640, (q15_t)0xa16d, (q15_t)0x563b, (q15_t)0xa168, (q15_t)0x5636, (q15_t)0xa164, (q15_t)0x5632, (q15_t)0xa160, + (q15_t)0x562d, (q15_t)0xa15c, (q15_t)0x5628, (q15_t)0xa157, (q15_t)0x5624, (q15_t)0xa153, (q15_t)0x561f, (q15_t)0xa14f, + (q15_t)0x561a, (q15_t)0xa14b, (q15_t)0x5616, (q15_t)0xa147, (q15_t)0x5611, (q15_t)0xa142, (q15_t)0x560c, (q15_t)0xa13e, + (q15_t)0x5608, (q15_t)0xa13a, (q15_t)0x5603, (q15_t)0xa136, (q15_t)0x55fe, (q15_t)0xa131, (q15_t)0x55fa, (q15_t)0xa12d, + (q15_t)0x55f5, (q15_t)0xa129, (q15_t)0x55f0, (q15_t)0xa125, (q15_t)0x55ec, (q15_t)0xa121, (q15_t)0x55e7, (q15_t)0xa11c, + (q15_t)0x55e3, (q15_t)0xa118, (q15_t)0x55de, (q15_t)0xa114, (q15_t)0x55d9, (q15_t)0xa110, (q15_t)0x55d5, (q15_t)0xa10b, + (q15_t)0x55d0, (q15_t)0xa107, (q15_t)0x55cb, (q15_t)0xa103, (q15_t)0x55c7, (q15_t)0xa0ff, (q15_t)0x55c2, (q15_t)0xa0fb, + (q15_t)0x55bd, (q15_t)0xa0f6, (q15_t)0x55b9, (q15_t)0xa0f2, (q15_t)0x55b4, (q15_t)0xa0ee, (q15_t)0x55af, (q15_t)0xa0ea, + (q15_t)0x55ab, (q15_t)0xa0e6, (q15_t)0x55a6, (q15_t)0xa0e1, (q15_t)0x55a1, (q15_t)0xa0dd, (q15_t)0x559d, (q15_t)0xa0d9, + (q15_t)0x5598, (q15_t)0xa0d5, (q15_t)0x5593, (q15_t)0xa0d1, (q15_t)0x558f, (q15_t)0xa0cc, (q15_t)0x558a, (q15_t)0xa0c8, + (q15_t)0x5585, (q15_t)0xa0c4, (q15_t)0x5581, (q15_t)0xa0c0, (q15_t)0x557c, (q15_t)0xa0bc, (q15_t)0x5577, (q15_t)0xa0b7, + (q15_t)0x5572, (q15_t)0xa0b3, (q15_t)0x556e, (q15_t)0xa0af, (q15_t)0x5569, (q15_t)0xa0ab, (q15_t)0x5564, (q15_t)0xa0a7, + (q15_t)0x5560, (q15_t)0xa0a2, (q15_t)0x555b, (q15_t)0xa09e, (q15_t)0x5556, (q15_t)0xa09a, (q15_t)0x5552, (q15_t)0xa096, + (q15_t)0x554d, (q15_t)0xa092, (q15_t)0x5548, (q15_t)0xa08e, (q15_t)0x5544, (q15_t)0xa089, (q15_t)0x553f, (q15_t)0xa085, + (q15_t)0x553a, (q15_t)0xa081, (q15_t)0x5536, (q15_t)0xa07d, (q15_t)0x5531, (q15_t)0xa079, (q15_t)0x552c, (q15_t)0xa074, + (q15_t)0x5528, (q15_t)0xa070, (q15_t)0x5523, (q15_t)0xa06c, (q15_t)0x551e, (q15_t)0xa068, (q15_t)0x5519, (q15_t)0xa064, + (q15_t)0x5515, (q15_t)0xa060, (q15_t)0x5510, (q15_t)0xa05b, (q15_t)0x550b, (q15_t)0xa057, (q15_t)0x5507, (q15_t)0xa053, + (q15_t)0x5502, (q15_t)0xa04f, (q15_t)0x54fd, (q15_t)0xa04b, (q15_t)0x54f9, (q15_t)0xa046, (q15_t)0x54f4, (q15_t)0xa042, + (q15_t)0x54ef, (q15_t)0xa03e, (q15_t)0x54ea, (q15_t)0xa03a, (q15_t)0x54e6, (q15_t)0xa036, (q15_t)0x54e1, (q15_t)0xa032, + (q15_t)0x54dc, (q15_t)0xa02d, (q15_t)0x54d8, (q15_t)0xa029, (q15_t)0x54d3, (q15_t)0xa025, (q15_t)0x54ce, (q15_t)0xa021, + (q15_t)0x54ca, (q15_t)0xa01d, (q15_t)0x54c5, (q15_t)0xa019, (q15_t)0x54c0, (q15_t)0xa014, (q15_t)0x54bb, (q15_t)0xa010, + (q15_t)0x54b7, (q15_t)0xa00c, (q15_t)0x54b2, (q15_t)0xa008, (q15_t)0x54ad, (q15_t)0xa004, (q15_t)0x54a9, (q15_t)0xa000, + (q15_t)0x54a4, (q15_t)0x9ffc, (q15_t)0x549f, (q15_t)0x9ff7, (q15_t)0x549a, (q15_t)0x9ff3, (q15_t)0x5496, (q15_t)0x9fef, + (q15_t)0x5491, (q15_t)0x9feb, (q15_t)0x548c, (q15_t)0x9fe7, (q15_t)0x5488, (q15_t)0x9fe3, (q15_t)0x5483, (q15_t)0x9fde, + (q15_t)0x547e, (q15_t)0x9fda, (q15_t)0x5479, (q15_t)0x9fd6, (q15_t)0x5475, (q15_t)0x9fd2, (q15_t)0x5470, (q15_t)0x9fce, + (q15_t)0x546b, (q15_t)0x9fca, (q15_t)0x5467, (q15_t)0x9fc6, (q15_t)0x5462, (q15_t)0x9fc1, (q15_t)0x545d, (q15_t)0x9fbd, + (q15_t)0x5458, (q15_t)0x9fb9, (q15_t)0x5454, (q15_t)0x9fb5, (q15_t)0x544f, (q15_t)0x9fb1, (q15_t)0x544a, (q15_t)0x9fad, + (q15_t)0x5445, (q15_t)0x9fa9, (q15_t)0x5441, (q15_t)0x9fa4, (q15_t)0x543c, (q15_t)0x9fa0, (q15_t)0x5437, (q15_t)0x9f9c, + (q15_t)0x5433, (q15_t)0x9f98, (q15_t)0x542e, (q15_t)0x9f94, (q15_t)0x5429, (q15_t)0x9f90, (q15_t)0x5424, (q15_t)0x9f8c, + (q15_t)0x5420, (q15_t)0x9f88, (q15_t)0x541b, (q15_t)0x9f83, (q15_t)0x5416, (q15_t)0x9f7f, (q15_t)0x5411, (q15_t)0x9f7b, + (q15_t)0x540d, (q15_t)0x9f77, (q15_t)0x5408, (q15_t)0x9f73, (q15_t)0x5403, (q15_t)0x9f6f, (q15_t)0x53fe, (q15_t)0x9f6b, + (q15_t)0x53fa, (q15_t)0x9f67, (q15_t)0x53f5, (q15_t)0x9f62, (q15_t)0x53f0, (q15_t)0x9f5e, (q15_t)0x53eb, (q15_t)0x9f5a, + (q15_t)0x53e7, (q15_t)0x9f56, (q15_t)0x53e2, (q15_t)0x9f52, (q15_t)0x53dd, (q15_t)0x9f4e, (q15_t)0x53d8, (q15_t)0x9f4a, + (q15_t)0x53d4, (q15_t)0x9f46, (q15_t)0x53cf, (q15_t)0x9f41, (q15_t)0x53ca, (q15_t)0x9f3d, (q15_t)0x53c5, (q15_t)0x9f39, + (q15_t)0x53c1, (q15_t)0x9f35, (q15_t)0x53bc, (q15_t)0x9f31, (q15_t)0x53b7, (q15_t)0x9f2d, (q15_t)0x53b2, (q15_t)0x9f29, + (q15_t)0x53ae, (q15_t)0x9f25, (q15_t)0x53a9, (q15_t)0x9f21, (q15_t)0x53a4, (q15_t)0x9f1c, (q15_t)0x539f, (q15_t)0x9f18, + (q15_t)0x539b, (q15_t)0x9f14, (q15_t)0x5396, (q15_t)0x9f10, (q15_t)0x5391, (q15_t)0x9f0c, (q15_t)0x538c, (q15_t)0x9f08, + (q15_t)0x5388, (q15_t)0x9f04, (q15_t)0x5383, (q15_t)0x9f00, (q15_t)0x537e, (q15_t)0x9efc, (q15_t)0x5379, (q15_t)0x9ef8, + (q15_t)0x5375, (q15_t)0x9ef3, (q15_t)0x5370, (q15_t)0x9eef, (q15_t)0x536b, (q15_t)0x9eeb, (q15_t)0x5366, (q15_t)0x9ee7, + (q15_t)0x5362, (q15_t)0x9ee3, (q15_t)0x535d, (q15_t)0x9edf, (q15_t)0x5358, (q15_t)0x9edb, (q15_t)0x5353, (q15_t)0x9ed7, + (q15_t)0x534e, (q15_t)0x9ed3, (q15_t)0x534a, (q15_t)0x9ecf, (q15_t)0x5345, (q15_t)0x9ecb, (q15_t)0x5340, (q15_t)0x9ec6, + (q15_t)0x533b, (q15_t)0x9ec2, (q15_t)0x5337, (q15_t)0x9ebe, (q15_t)0x5332, (q15_t)0x9eba, (q15_t)0x532d, (q15_t)0x9eb6, + (q15_t)0x5328, (q15_t)0x9eb2, (q15_t)0x5323, (q15_t)0x9eae, (q15_t)0x531f, (q15_t)0x9eaa, (q15_t)0x531a, (q15_t)0x9ea6, + (q15_t)0x5315, (q15_t)0x9ea2, (q15_t)0x5310, (q15_t)0x9e9e, (q15_t)0x530c, (q15_t)0x9e9a, (q15_t)0x5307, (q15_t)0x9e95, + (q15_t)0x5302, (q15_t)0x9e91, (q15_t)0x52fd, (q15_t)0x9e8d, (q15_t)0x52f8, (q15_t)0x9e89, (q15_t)0x52f4, (q15_t)0x9e85, + (q15_t)0x52ef, (q15_t)0x9e81, (q15_t)0x52ea, (q15_t)0x9e7d, (q15_t)0x52e5, (q15_t)0x9e79, (q15_t)0x52e1, (q15_t)0x9e75, + (q15_t)0x52dc, (q15_t)0x9e71, (q15_t)0x52d7, (q15_t)0x9e6d, (q15_t)0x52d2, (q15_t)0x9e69, (q15_t)0x52cd, (q15_t)0x9e65, + (q15_t)0x52c9, (q15_t)0x9e61, (q15_t)0x52c4, (q15_t)0x9e5d, (q15_t)0x52bf, (q15_t)0x9e58, (q15_t)0x52ba, (q15_t)0x9e54, + (q15_t)0x52b5, (q15_t)0x9e50, (q15_t)0x52b1, (q15_t)0x9e4c, (q15_t)0x52ac, (q15_t)0x9e48, (q15_t)0x52a7, (q15_t)0x9e44, + (q15_t)0x52a2, (q15_t)0x9e40, (q15_t)0x529d, (q15_t)0x9e3c, (q15_t)0x5299, (q15_t)0x9e38, (q15_t)0x5294, (q15_t)0x9e34, + (q15_t)0x528f, (q15_t)0x9e30, (q15_t)0x528a, (q15_t)0x9e2c, (q15_t)0x5285, (q15_t)0x9e28, (q15_t)0x5281, (q15_t)0x9e24, + (q15_t)0x527c, (q15_t)0x9e20, (q15_t)0x5277, (q15_t)0x9e1c, (q15_t)0x5272, (q15_t)0x9e18, (q15_t)0x526d, (q15_t)0x9e14, + (q15_t)0x5269, (q15_t)0x9e0f, (q15_t)0x5264, (q15_t)0x9e0b, (q15_t)0x525f, (q15_t)0x9e07, (q15_t)0x525a, (q15_t)0x9e03, + (q15_t)0x5255, (q15_t)0x9dff, (q15_t)0x5251, (q15_t)0x9dfb, (q15_t)0x524c, (q15_t)0x9df7, (q15_t)0x5247, (q15_t)0x9df3, + (q15_t)0x5242, (q15_t)0x9def, (q15_t)0x523d, (q15_t)0x9deb, (q15_t)0x5238, (q15_t)0x9de7, (q15_t)0x5234, (q15_t)0x9de3, + (q15_t)0x522f, (q15_t)0x9ddf, (q15_t)0x522a, (q15_t)0x9ddb, (q15_t)0x5225, (q15_t)0x9dd7, (q15_t)0x5220, (q15_t)0x9dd3, + (q15_t)0x521c, (q15_t)0x9dcf, (q15_t)0x5217, (q15_t)0x9dcb, (q15_t)0x5212, (q15_t)0x9dc7, (q15_t)0x520d, (q15_t)0x9dc3, + (q15_t)0x5208, (q15_t)0x9dbf, (q15_t)0x5203, (q15_t)0x9dbb, (q15_t)0x51ff, (q15_t)0x9db7, (q15_t)0x51fa, (q15_t)0x9db3, + (q15_t)0x51f5, (q15_t)0x9daf, (q15_t)0x51f0, (q15_t)0x9dab, (q15_t)0x51eb, (q15_t)0x9da7, (q15_t)0x51e6, (q15_t)0x9da3, + (q15_t)0x51e2, (q15_t)0x9d9f, (q15_t)0x51dd, (q15_t)0x9d9b, (q15_t)0x51d8, (q15_t)0x9d97, (q15_t)0x51d3, (q15_t)0x9d93, + (q15_t)0x51ce, (q15_t)0x9d8f, (q15_t)0x51c9, (q15_t)0x9d8b, (q15_t)0x51c5, (q15_t)0x9d86, (q15_t)0x51c0, (q15_t)0x9d82, + (q15_t)0x51bb, (q15_t)0x9d7e, (q15_t)0x51b6, (q15_t)0x9d7a, (q15_t)0x51b1, (q15_t)0x9d76, (q15_t)0x51ac, (q15_t)0x9d72, + (q15_t)0x51a8, (q15_t)0x9d6e, (q15_t)0x51a3, (q15_t)0x9d6a, (q15_t)0x519e, (q15_t)0x9d66, (q15_t)0x5199, (q15_t)0x9d62, + (q15_t)0x5194, (q15_t)0x9d5e, (q15_t)0x518f, (q15_t)0x9d5a, (q15_t)0x518b, (q15_t)0x9d56, (q15_t)0x5186, (q15_t)0x9d52, + (q15_t)0x5181, (q15_t)0x9d4e, (q15_t)0x517c, (q15_t)0x9d4a, (q15_t)0x5177, (q15_t)0x9d46, (q15_t)0x5172, (q15_t)0x9d42, + (q15_t)0x516e, (q15_t)0x9d3e, (q15_t)0x5169, (q15_t)0x9d3a, (q15_t)0x5164, (q15_t)0x9d36, (q15_t)0x515f, (q15_t)0x9d32, + (q15_t)0x515a, (q15_t)0x9d2e, (q15_t)0x5155, (q15_t)0x9d2a, (q15_t)0x5150, (q15_t)0x9d26, (q15_t)0x514c, (q15_t)0x9d22, + (q15_t)0x5147, (q15_t)0x9d1e, (q15_t)0x5142, (q15_t)0x9d1a, (q15_t)0x513d, (q15_t)0x9d16, (q15_t)0x5138, (q15_t)0x9d12, + (q15_t)0x5133, (q15_t)0x9d0e, (q15_t)0x512e, (q15_t)0x9d0b, (q15_t)0x512a, (q15_t)0x9d07, (q15_t)0x5125, (q15_t)0x9d03, + (q15_t)0x5120, (q15_t)0x9cff, (q15_t)0x511b, (q15_t)0x9cfb, (q15_t)0x5116, (q15_t)0x9cf7, (q15_t)0x5111, (q15_t)0x9cf3, + (q15_t)0x510c, (q15_t)0x9cef, (q15_t)0x5108, (q15_t)0x9ceb, (q15_t)0x5103, (q15_t)0x9ce7, (q15_t)0x50fe, (q15_t)0x9ce3, + (q15_t)0x50f9, (q15_t)0x9cdf, (q15_t)0x50f4, (q15_t)0x9cdb, (q15_t)0x50ef, (q15_t)0x9cd7, (q15_t)0x50ea, (q15_t)0x9cd3, + (q15_t)0x50e5, (q15_t)0x9ccf, (q15_t)0x50e1, (q15_t)0x9ccb, (q15_t)0x50dc, (q15_t)0x9cc7, (q15_t)0x50d7, (q15_t)0x9cc3, + (q15_t)0x50d2, (q15_t)0x9cbf, (q15_t)0x50cd, (q15_t)0x9cbb, (q15_t)0x50c8, (q15_t)0x9cb7, (q15_t)0x50c3, (q15_t)0x9cb3, + (q15_t)0x50bf, (q15_t)0x9caf, (q15_t)0x50ba, (q15_t)0x9cab, (q15_t)0x50b5, (q15_t)0x9ca7, (q15_t)0x50b0, (q15_t)0x9ca3, + (q15_t)0x50ab, (q15_t)0x9c9f, (q15_t)0x50a6, (q15_t)0x9c9b, (q15_t)0x50a1, (q15_t)0x9c97, (q15_t)0x509c, (q15_t)0x9c93, + (q15_t)0x5097, (q15_t)0x9c8f, (q15_t)0x5093, (q15_t)0x9c8b, (q15_t)0x508e, (q15_t)0x9c88, (q15_t)0x5089, (q15_t)0x9c84, + (q15_t)0x5084, (q15_t)0x9c80, (q15_t)0x507f, (q15_t)0x9c7c, (q15_t)0x507a, (q15_t)0x9c78, (q15_t)0x5075, (q15_t)0x9c74, + (q15_t)0x5070, (q15_t)0x9c70, (q15_t)0x506c, (q15_t)0x9c6c, (q15_t)0x5067, (q15_t)0x9c68, (q15_t)0x5062, (q15_t)0x9c64, + (q15_t)0x505d, (q15_t)0x9c60, (q15_t)0x5058, (q15_t)0x9c5c, (q15_t)0x5053, (q15_t)0x9c58, (q15_t)0x504e, (q15_t)0x9c54, + (q15_t)0x5049, (q15_t)0x9c50, (q15_t)0x5044, (q15_t)0x9c4c, (q15_t)0x503f, (q15_t)0x9c48, (q15_t)0x503b, (q15_t)0x9c44, + (q15_t)0x5036, (q15_t)0x9c40, (q15_t)0x5031, (q15_t)0x9c3d, (q15_t)0x502c, (q15_t)0x9c39, (q15_t)0x5027, (q15_t)0x9c35, + (q15_t)0x5022, (q15_t)0x9c31, (q15_t)0x501d, (q15_t)0x9c2d, (q15_t)0x5018, (q15_t)0x9c29, (q15_t)0x5013, (q15_t)0x9c25, + (q15_t)0x500f, (q15_t)0x9c21, (q15_t)0x500a, (q15_t)0x9c1d, (q15_t)0x5005, (q15_t)0x9c19, (q15_t)0x5000, (q15_t)0x9c15, + (q15_t)0x4ffb, (q15_t)0x9c11, (q15_t)0x4ff6, (q15_t)0x9c0d, (q15_t)0x4ff1, (q15_t)0x9c09, (q15_t)0x4fec, (q15_t)0x9c06, + (q15_t)0x4fe7, (q15_t)0x9c02, (q15_t)0x4fe2, (q15_t)0x9bfe, (q15_t)0x4fdd, (q15_t)0x9bfa, (q15_t)0x4fd9, (q15_t)0x9bf6, + (q15_t)0x4fd4, (q15_t)0x9bf2, (q15_t)0x4fcf, (q15_t)0x9bee, (q15_t)0x4fca, (q15_t)0x9bea, (q15_t)0x4fc5, (q15_t)0x9be6, + (q15_t)0x4fc0, (q15_t)0x9be2, (q15_t)0x4fbb, (q15_t)0x9bde, (q15_t)0x4fb6, (q15_t)0x9bda, (q15_t)0x4fb1, (q15_t)0x9bd7, + (q15_t)0x4fac, (q15_t)0x9bd3, (q15_t)0x4fa7, (q15_t)0x9bcf, (q15_t)0x4fa2, (q15_t)0x9bcb, (q15_t)0x4f9e, (q15_t)0x9bc7, + (q15_t)0x4f99, (q15_t)0x9bc3, (q15_t)0x4f94, (q15_t)0x9bbf, (q15_t)0x4f8f, (q15_t)0x9bbb, (q15_t)0x4f8a, (q15_t)0x9bb7, + (q15_t)0x4f85, (q15_t)0x9bb3, (q15_t)0x4f80, (q15_t)0x9baf, (q15_t)0x4f7b, (q15_t)0x9bac, (q15_t)0x4f76, (q15_t)0x9ba8, + (q15_t)0x4f71, (q15_t)0x9ba4, (q15_t)0x4f6c, (q15_t)0x9ba0, (q15_t)0x4f67, (q15_t)0x9b9c, (q15_t)0x4f62, (q15_t)0x9b98, + (q15_t)0x4f5e, (q15_t)0x9b94, (q15_t)0x4f59, (q15_t)0x9b90, (q15_t)0x4f54, (q15_t)0x9b8c, (q15_t)0x4f4f, (q15_t)0x9b88, + (q15_t)0x4f4a, (q15_t)0x9b85, (q15_t)0x4f45, (q15_t)0x9b81, (q15_t)0x4f40, (q15_t)0x9b7d, (q15_t)0x4f3b, (q15_t)0x9b79, + (q15_t)0x4f36, (q15_t)0x9b75, (q15_t)0x4f31, (q15_t)0x9b71, (q15_t)0x4f2c, (q15_t)0x9b6d, (q15_t)0x4f27, (q15_t)0x9b69, + (q15_t)0x4f22, (q15_t)0x9b65, (q15_t)0x4f1d, (q15_t)0x9b62, (q15_t)0x4f18, (q15_t)0x9b5e, (q15_t)0x4f14, (q15_t)0x9b5a, + (q15_t)0x4f0f, (q15_t)0x9b56, (q15_t)0x4f0a, (q15_t)0x9b52, (q15_t)0x4f05, (q15_t)0x9b4e, (q15_t)0x4f00, (q15_t)0x9b4a, + (q15_t)0x4efb, (q15_t)0x9b46, (q15_t)0x4ef6, (q15_t)0x9b43, (q15_t)0x4ef1, (q15_t)0x9b3f, (q15_t)0x4eec, (q15_t)0x9b3b, + (q15_t)0x4ee7, (q15_t)0x9b37, (q15_t)0x4ee2, (q15_t)0x9b33, (q15_t)0x4edd, (q15_t)0x9b2f, (q15_t)0x4ed8, (q15_t)0x9b2b, + (q15_t)0x4ed3, (q15_t)0x9b27, (q15_t)0x4ece, (q15_t)0x9b24, (q15_t)0x4ec9, (q15_t)0x9b20, (q15_t)0x4ec4, (q15_t)0x9b1c, + (q15_t)0x4ebf, (q15_t)0x9b18, (q15_t)0x4eba, (q15_t)0x9b14, (q15_t)0x4eb6, (q15_t)0x9b10, (q15_t)0x4eb1, (q15_t)0x9b0c, + (q15_t)0x4eac, (q15_t)0x9b09, (q15_t)0x4ea7, (q15_t)0x9b05, (q15_t)0x4ea2, (q15_t)0x9b01, (q15_t)0x4e9d, (q15_t)0x9afd, + (q15_t)0x4e98, (q15_t)0x9af9, (q15_t)0x4e93, (q15_t)0x9af5, (q15_t)0x4e8e, (q15_t)0x9af1, (q15_t)0x4e89, (q15_t)0x9aed, + (q15_t)0x4e84, (q15_t)0x9aea, (q15_t)0x4e7f, (q15_t)0x9ae6, (q15_t)0x4e7a, (q15_t)0x9ae2, (q15_t)0x4e75, (q15_t)0x9ade, + (q15_t)0x4e70, (q15_t)0x9ada, (q15_t)0x4e6b, (q15_t)0x9ad6, (q15_t)0x4e66, (q15_t)0x9ad3, (q15_t)0x4e61, (q15_t)0x9acf, + (q15_t)0x4e5c, (q15_t)0x9acb, (q15_t)0x4e57, (q15_t)0x9ac7, (q15_t)0x4e52, (q15_t)0x9ac3, (q15_t)0x4e4d, (q15_t)0x9abf, + (q15_t)0x4e48, (q15_t)0x9abb, (q15_t)0x4e43, (q15_t)0x9ab8, (q15_t)0x4e3e, (q15_t)0x9ab4, (q15_t)0x4e39, (q15_t)0x9ab0, + (q15_t)0x4e34, (q15_t)0x9aac, (q15_t)0x4e2f, (q15_t)0x9aa8, (q15_t)0x4e2a, (q15_t)0x9aa4, (q15_t)0x4e26, (q15_t)0x9aa1, + (q15_t)0x4e21, (q15_t)0x9a9d, (q15_t)0x4e1c, (q15_t)0x9a99, (q15_t)0x4e17, (q15_t)0x9a95, (q15_t)0x4e12, (q15_t)0x9a91, + (q15_t)0x4e0d, (q15_t)0x9a8d, (q15_t)0x4e08, (q15_t)0x9a8a, (q15_t)0x4e03, (q15_t)0x9a86, (q15_t)0x4dfe, (q15_t)0x9a82, + (q15_t)0x4df9, (q15_t)0x9a7e, (q15_t)0x4df4, (q15_t)0x9a7a, (q15_t)0x4def, (q15_t)0x9a76, (q15_t)0x4dea, (q15_t)0x9a73, + (q15_t)0x4de5, (q15_t)0x9a6f, (q15_t)0x4de0, (q15_t)0x9a6b, (q15_t)0x4ddb, (q15_t)0x9a67, (q15_t)0x4dd6, (q15_t)0x9a63, + (q15_t)0x4dd1, (q15_t)0x9a60, (q15_t)0x4dcc, (q15_t)0x9a5c, (q15_t)0x4dc7, (q15_t)0x9a58, (q15_t)0x4dc2, (q15_t)0x9a54, + (q15_t)0x4dbd, (q15_t)0x9a50, (q15_t)0x4db8, (q15_t)0x9a4c, (q15_t)0x4db3, (q15_t)0x9a49, (q15_t)0x4dae, (q15_t)0x9a45, + (q15_t)0x4da9, (q15_t)0x9a41, (q15_t)0x4da4, (q15_t)0x9a3d, (q15_t)0x4d9f, (q15_t)0x9a39, (q15_t)0x4d9a, (q15_t)0x9a36, + (q15_t)0x4d95, (q15_t)0x9a32, (q15_t)0x4d90, (q15_t)0x9a2e, (q15_t)0x4d8b, (q15_t)0x9a2a, (q15_t)0x4d86, (q15_t)0x9a26, + (q15_t)0x4d81, (q15_t)0x9a23, (q15_t)0x4d7c, (q15_t)0x9a1f, (q15_t)0x4d77, (q15_t)0x9a1b, (q15_t)0x4d72, (q15_t)0x9a17, + (q15_t)0x4d6d, (q15_t)0x9a13, (q15_t)0x4d68, (q15_t)0x9a10, (q15_t)0x4d63, (q15_t)0x9a0c, (q15_t)0x4d5e, (q15_t)0x9a08, + (q15_t)0x4d59, (q15_t)0x9a04, (q15_t)0x4d54, (q15_t)0x9a00, (q15_t)0x4d4f, (q15_t)0x99fd, (q15_t)0x4d4a, (q15_t)0x99f9, + (q15_t)0x4d45, (q15_t)0x99f5, (q15_t)0x4d40, (q15_t)0x99f1, (q15_t)0x4d3b, (q15_t)0x99ed, (q15_t)0x4d36, (q15_t)0x99ea, + (q15_t)0x4d31, (q15_t)0x99e6, (q15_t)0x4d2c, (q15_t)0x99e2, (q15_t)0x4d27, (q15_t)0x99de, (q15_t)0x4d22, (q15_t)0x99da, + (q15_t)0x4d1d, (q15_t)0x99d7, (q15_t)0x4d18, (q15_t)0x99d3, (q15_t)0x4d13, (q15_t)0x99cf, (q15_t)0x4d0e, (q15_t)0x99cb, + (q15_t)0x4d09, (q15_t)0x99c7, (q15_t)0x4d04, (q15_t)0x99c4, (q15_t)0x4cff, (q15_t)0x99c0, (q15_t)0x4cfa, (q15_t)0x99bc, + (q15_t)0x4cf5, (q15_t)0x99b8, (q15_t)0x4cf0, (q15_t)0x99b5, (q15_t)0x4ceb, (q15_t)0x99b1, (q15_t)0x4ce6, (q15_t)0x99ad, + (q15_t)0x4ce1, (q15_t)0x99a9, (q15_t)0x4cdb, (q15_t)0x99a5, (q15_t)0x4cd6, (q15_t)0x99a2, (q15_t)0x4cd1, (q15_t)0x999e, + (q15_t)0x4ccc, (q15_t)0x999a, (q15_t)0x4cc7, (q15_t)0x9996, (q15_t)0x4cc2, (q15_t)0x9993, (q15_t)0x4cbd, (q15_t)0x998f, + (q15_t)0x4cb8, (q15_t)0x998b, (q15_t)0x4cb3, (q15_t)0x9987, (q15_t)0x4cae, (q15_t)0x9984, (q15_t)0x4ca9, (q15_t)0x9980, + (q15_t)0x4ca4, (q15_t)0x997c, (q15_t)0x4c9f, (q15_t)0x9978, (q15_t)0x4c9a, (q15_t)0x9975, (q15_t)0x4c95, (q15_t)0x9971, + (q15_t)0x4c90, (q15_t)0x996d, (q15_t)0x4c8b, (q15_t)0x9969, (q15_t)0x4c86, (q15_t)0x9965, (q15_t)0x4c81, (q15_t)0x9962, + (q15_t)0x4c7c, (q15_t)0x995e, (q15_t)0x4c77, (q15_t)0x995a, (q15_t)0x4c72, (q15_t)0x9956, (q15_t)0x4c6d, (q15_t)0x9953, + (q15_t)0x4c68, (q15_t)0x994f, (q15_t)0x4c63, (q15_t)0x994b, (q15_t)0x4c5e, (q15_t)0x9947, (q15_t)0x4c59, (q15_t)0x9944, + (q15_t)0x4c54, (q15_t)0x9940, (q15_t)0x4c4f, (q15_t)0x993c, (q15_t)0x4c49, (q15_t)0x9938, (q15_t)0x4c44, (q15_t)0x9935, + (q15_t)0x4c3f, (q15_t)0x9931, (q15_t)0x4c3a, (q15_t)0x992d, (q15_t)0x4c35, (q15_t)0x992a, (q15_t)0x4c30, (q15_t)0x9926, + (q15_t)0x4c2b, (q15_t)0x9922, (q15_t)0x4c26, (q15_t)0x991e, (q15_t)0x4c21, (q15_t)0x991b, (q15_t)0x4c1c, (q15_t)0x9917, + (q15_t)0x4c17, (q15_t)0x9913, (q15_t)0x4c12, (q15_t)0x990f, (q15_t)0x4c0d, (q15_t)0x990c, (q15_t)0x4c08, (q15_t)0x9908, + (q15_t)0x4c03, (q15_t)0x9904, (q15_t)0x4bfe, (q15_t)0x9900, (q15_t)0x4bf9, (q15_t)0x98fd, (q15_t)0x4bf4, (q15_t)0x98f9, + (q15_t)0x4bef, (q15_t)0x98f5, (q15_t)0x4be9, (q15_t)0x98f2, (q15_t)0x4be4, (q15_t)0x98ee, (q15_t)0x4bdf, (q15_t)0x98ea, + (q15_t)0x4bda, (q15_t)0x98e6, (q15_t)0x4bd5, (q15_t)0x98e3, (q15_t)0x4bd0, (q15_t)0x98df, (q15_t)0x4bcb, (q15_t)0x98db, + (q15_t)0x4bc6, (q15_t)0x98d7, (q15_t)0x4bc1, (q15_t)0x98d4, (q15_t)0x4bbc, (q15_t)0x98d0, (q15_t)0x4bb7, (q15_t)0x98cc, + (q15_t)0x4bb2, (q15_t)0x98c9, (q15_t)0x4bad, (q15_t)0x98c5, (q15_t)0x4ba8, (q15_t)0x98c1, (q15_t)0x4ba3, (q15_t)0x98bd, + (q15_t)0x4b9e, (q15_t)0x98ba, (q15_t)0x4b98, (q15_t)0x98b6, (q15_t)0x4b93, (q15_t)0x98b2, (q15_t)0x4b8e, (q15_t)0x98af, + (q15_t)0x4b89, (q15_t)0x98ab, (q15_t)0x4b84, (q15_t)0x98a7, (q15_t)0x4b7f, (q15_t)0x98a3, (q15_t)0x4b7a, (q15_t)0x98a0, + (q15_t)0x4b75, (q15_t)0x989c, (q15_t)0x4b70, (q15_t)0x9898, (q15_t)0x4b6b, (q15_t)0x9895, (q15_t)0x4b66, (q15_t)0x9891, + (q15_t)0x4b61, (q15_t)0x988d, (q15_t)0x4b5c, (q15_t)0x988a, (q15_t)0x4b56, (q15_t)0x9886, (q15_t)0x4b51, (q15_t)0x9882, + (q15_t)0x4b4c, (q15_t)0x987e, (q15_t)0x4b47, (q15_t)0x987b, (q15_t)0x4b42, (q15_t)0x9877, (q15_t)0x4b3d, (q15_t)0x9873, + (q15_t)0x4b38, (q15_t)0x9870, (q15_t)0x4b33, (q15_t)0x986c, (q15_t)0x4b2e, (q15_t)0x9868, (q15_t)0x4b29, (q15_t)0x9865, + (q15_t)0x4b24, (q15_t)0x9861, (q15_t)0x4b1f, (q15_t)0x985d, (q15_t)0x4b19, (q15_t)0x985a, (q15_t)0x4b14, (q15_t)0x9856, + (q15_t)0x4b0f, (q15_t)0x9852, (q15_t)0x4b0a, (q15_t)0x984e, (q15_t)0x4b05, (q15_t)0x984b, (q15_t)0x4b00, (q15_t)0x9847, + (q15_t)0x4afb, (q15_t)0x9843, (q15_t)0x4af6, (q15_t)0x9840, (q15_t)0x4af1, (q15_t)0x983c, (q15_t)0x4aec, (q15_t)0x9838, + (q15_t)0x4ae7, (q15_t)0x9835, (q15_t)0x4ae1, (q15_t)0x9831, (q15_t)0x4adc, (q15_t)0x982d, (q15_t)0x4ad7, (q15_t)0x982a, + (q15_t)0x4ad2, (q15_t)0x9826, (q15_t)0x4acd, (q15_t)0x9822, (q15_t)0x4ac8, (q15_t)0x981f, (q15_t)0x4ac3, (q15_t)0x981b, + (q15_t)0x4abe, (q15_t)0x9817, (q15_t)0x4ab9, (q15_t)0x9814, (q15_t)0x4ab4, (q15_t)0x9810, (q15_t)0x4aae, (q15_t)0x980c, + (q15_t)0x4aa9, (q15_t)0x9809, (q15_t)0x4aa4, (q15_t)0x9805, (q15_t)0x4a9f, (q15_t)0x9801, (q15_t)0x4a9a, (q15_t)0x97fe, + (q15_t)0x4a95, (q15_t)0x97fa, (q15_t)0x4a90, (q15_t)0x97f6, (q15_t)0x4a8b, (q15_t)0x97f3, (q15_t)0x4a86, (q15_t)0x97ef, + (q15_t)0x4a81, (q15_t)0x97eb, (q15_t)0x4a7b, (q15_t)0x97e8, (q15_t)0x4a76, (q15_t)0x97e4, (q15_t)0x4a71, (q15_t)0x97e0, + (q15_t)0x4a6c, (q15_t)0x97dd, (q15_t)0x4a67, (q15_t)0x97d9, (q15_t)0x4a62, (q15_t)0x97d5, (q15_t)0x4a5d, (q15_t)0x97d2, + (q15_t)0x4a58, (q15_t)0x97ce, (q15_t)0x4a52, (q15_t)0x97cb, (q15_t)0x4a4d, (q15_t)0x97c7, (q15_t)0x4a48, (q15_t)0x97c3, + (q15_t)0x4a43, (q15_t)0x97c0, (q15_t)0x4a3e, (q15_t)0x97bc, (q15_t)0x4a39, (q15_t)0x97b8, (q15_t)0x4a34, (q15_t)0x97b5, + (q15_t)0x4a2f, (q15_t)0x97b1, (q15_t)0x4a2a, (q15_t)0x97ad, (q15_t)0x4a24, (q15_t)0x97aa, (q15_t)0x4a1f, (q15_t)0x97a6, + (q15_t)0x4a1a, (q15_t)0x97a2, (q15_t)0x4a15, (q15_t)0x979f, (q15_t)0x4a10, (q15_t)0x979b, (q15_t)0x4a0b, (q15_t)0x9798, + (q15_t)0x4a06, (q15_t)0x9794, (q15_t)0x4a01, (q15_t)0x9790, (q15_t)0x49fb, (q15_t)0x978d, (q15_t)0x49f6, (q15_t)0x9789, + (q15_t)0x49f1, (q15_t)0x9785, (q15_t)0x49ec, (q15_t)0x9782, (q15_t)0x49e7, (q15_t)0x977e, (q15_t)0x49e2, (q15_t)0x977a, + (q15_t)0x49dd, (q15_t)0x9777, (q15_t)0x49d8, (q15_t)0x9773, (q15_t)0x49d2, (q15_t)0x9770, (q15_t)0x49cd, (q15_t)0x976c, + (q15_t)0x49c8, (q15_t)0x9768, (q15_t)0x49c3, (q15_t)0x9765, (q15_t)0x49be, (q15_t)0x9761, (q15_t)0x49b9, (q15_t)0x975d, + (q15_t)0x49b4, (q15_t)0x975a, (q15_t)0x49ae, (q15_t)0x9756, (q15_t)0x49a9, (q15_t)0x9753, (q15_t)0x49a4, (q15_t)0x974f, + (q15_t)0x499f, (q15_t)0x974b, (q15_t)0x499a, (q15_t)0x9748, (q15_t)0x4995, (q15_t)0x9744, (q15_t)0x4990, (q15_t)0x9741, + (q15_t)0x498a, (q15_t)0x973d, (q15_t)0x4985, (q15_t)0x9739, (q15_t)0x4980, (q15_t)0x9736, (q15_t)0x497b, (q15_t)0x9732, + (q15_t)0x4976, (q15_t)0x972f, (q15_t)0x4971, (q15_t)0x972b, (q15_t)0x496c, (q15_t)0x9727, (q15_t)0x4966, (q15_t)0x9724, + (q15_t)0x4961, (q15_t)0x9720, (q15_t)0x495c, (q15_t)0x971d, (q15_t)0x4957, (q15_t)0x9719, (q15_t)0x4952, (q15_t)0x9715, + (q15_t)0x494d, (q15_t)0x9712, (q15_t)0x4948, (q15_t)0x970e, (q15_t)0x4942, (q15_t)0x970b, (q15_t)0x493d, (q15_t)0x9707, + (q15_t)0x4938, (q15_t)0x9703, (q15_t)0x4933, (q15_t)0x9700, (q15_t)0x492e, (q15_t)0x96fc, (q15_t)0x4929, (q15_t)0x96f9, + (q15_t)0x4923, (q15_t)0x96f5, (q15_t)0x491e, (q15_t)0x96f1, (q15_t)0x4919, (q15_t)0x96ee, (q15_t)0x4914, (q15_t)0x96ea, + (q15_t)0x490f, (q15_t)0x96e7, (q15_t)0x490a, (q15_t)0x96e3, (q15_t)0x4905, (q15_t)0x96df, (q15_t)0x48ff, (q15_t)0x96dc, + (q15_t)0x48fa, (q15_t)0x96d8, (q15_t)0x48f5, (q15_t)0x96d5, (q15_t)0x48f0, (q15_t)0x96d1, (q15_t)0x48eb, (q15_t)0x96ce, + (q15_t)0x48e6, (q15_t)0x96ca, (q15_t)0x48e0, (q15_t)0x96c6, (q15_t)0x48db, (q15_t)0x96c3, (q15_t)0x48d6, (q15_t)0x96bf, + (q15_t)0x48d1, (q15_t)0x96bc, (q15_t)0x48cc, (q15_t)0x96b8, (q15_t)0x48c7, (q15_t)0x96b5, (q15_t)0x48c1, (q15_t)0x96b1, + (q15_t)0x48bc, (q15_t)0x96ad, (q15_t)0x48b7, (q15_t)0x96aa, (q15_t)0x48b2, (q15_t)0x96a6, (q15_t)0x48ad, (q15_t)0x96a3, + (q15_t)0x48a8, (q15_t)0x969f, (q15_t)0x48a2, (q15_t)0x969c, (q15_t)0x489d, (q15_t)0x9698, (q15_t)0x4898, (q15_t)0x9694, + (q15_t)0x4893, (q15_t)0x9691, (q15_t)0x488e, (q15_t)0x968d, (q15_t)0x4888, (q15_t)0x968a, (q15_t)0x4883, (q15_t)0x9686, + (q15_t)0x487e, (q15_t)0x9683, (q15_t)0x4879, (q15_t)0x967f, (q15_t)0x4874, (q15_t)0x967b, (q15_t)0x486f, (q15_t)0x9678, + (q15_t)0x4869, (q15_t)0x9674, (q15_t)0x4864, (q15_t)0x9671, (q15_t)0x485f, (q15_t)0x966d, (q15_t)0x485a, (q15_t)0x966a, + (q15_t)0x4855, (q15_t)0x9666, (q15_t)0x484f, (q15_t)0x9663, (q15_t)0x484a, (q15_t)0x965f, (q15_t)0x4845, (q15_t)0x965b, + (q15_t)0x4840, (q15_t)0x9658, (q15_t)0x483b, (q15_t)0x9654, (q15_t)0x4836, (q15_t)0x9651, (q15_t)0x4830, (q15_t)0x964d, + (q15_t)0x482b, (q15_t)0x964a, (q15_t)0x4826, (q15_t)0x9646, (q15_t)0x4821, (q15_t)0x9643, (q15_t)0x481c, (q15_t)0x963f, + (q15_t)0x4816, (q15_t)0x963c, (q15_t)0x4811, (q15_t)0x9638, (q15_t)0x480c, (q15_t)0x9635, (q15_t)0x4807, (q15_t)0x9631, + (q15_t)0x4802, (q15_t)0x962d, (q15_t)0x47fc, (q15_t)0x962a, (q15_t)0x47f7, (q15_t)0x9626, (q15_t)0x47f2, (q15_t)0x9623, + (q15_t)0x47ed, (q15_t)0x961f, (q15_t)0x47e8, (q15_t)0x961c, (q15_t)0x47e2, (q15_t)0x9618, (q15_t)0x47dd, (q15_t)0x9615, + (q15_t)0x47d8, (q15_t)0x9611, (q15_t)0x47d3, (q15_t)0x960e, (q15_t)0x47ce, (q15_t)0x960a, (q15_t)0x47c8, (q15_t)0x9607, + (q15_t)0x47c3, (q15_t)0x9603, (q15_t)0x47be, (q15_t)0x9600, (q15_t)0x47b9, (q15_t)0x95fc, (q15_t)0x47b4, (q15_t)0x95f9, + (q15_t)0x47ae, (q15_t)0x95f5, (q15_t)0x47a9, (q15_t)0x95f2, (q15_t)0x47a4, (q15_t)0x95ee, (q15_t)0x479f, (q15_t)0x95ea, + (q15_t)0x479a, (q15_t)0x95e7, (q15_t)0x4794, (q15_t)0x95e3, (q15_t)0x478f, (q15_t)0x95e0, (q15_t)0x478a, (q15_t)0x95dc, + (q15_t)0x4785, (q15_t)0x95d9, (q15_t)0x4780, (q15_t)0x95d5, (q15_t)0x477a, (q15_t)0x95d2, (q15_t)0x4775, (q15_t)0x95ce, + (q15_t)0x4770, (q15_t)0x95cb, (q15_t)0x476b, (q15_t)0x95c7, (q15_t)0x4765, (q15_t)0x95c4, (q15_t)0x4760, (q15_t)0x95c0, + (q15_t)0x475b, (q15_t)0x95bd, (q15_t)0x4756, (q15_t)0x95b9, (q15_t)0x4751, (q15_t)0x95b6, (q15_t)0x474b, (q15_t)0x95b2, + (q15_t)0x4746, (q15_t)0x95af, (q15_t)0x4741, (q15_t)0x95ab, (q15_t)0x473c, (q15_t)0x95a8, (q15_t)0x4737, (q15_t)0x95a4, + (q15_t)0x4731, (q15_t)0x95a1, (q15_t)0x472c, (q15_t)0x959d, (q15_t)0x4727, (q15_t)0x959a, (q15_t)0x4722, (q15_t)0x9596, + (q15_t)0x471c, (q15_t)0x9593, (q15_t)0x4717, (q15_t)0x958f, (q15_t)0x4712, (q15_t)0x958c, (q15_t)0x470d, (q15_t)0x9588, + (q15_t)0x4708, (q15_t)0x9585, (q15_t)0x4702, (q15_t)0x9581, (q15_t)0x46fd, (q15_t)0x957e, (q15_t)0x46f8, (q15_t)0x957a, + (q15_t)0x46f3, (q15_t)0x9577, (q15_t)0x46ed, (q15_t)0x9574, (q15_t)0x46e8, (q15_t)0x9570, (q15_t)0x46e3, (q15_t)0x956d, + (q15_t)0x46de, (q15_t)0x9569, (q15_t)0x46d8, (q15_t)0x9566, (q15_t)0x46d3, (q15_t)0x9562, (q15_t)0x46ce, (q15_t)0x955f, + (q15_t)0x46c9, (q15_t)0x955b, (q15_t)0x46c4, (q15_t)0x9558, (q15_t)0x46be, (q15_t)0x9554, (q15_t)0x46b9, (q15_t)0x9551, + (q15_t)0x46b4, (q15_t)0x954d, (q15_t)0x46af, (q15_t)0x954a, (q15_t)0x46a9, (q15_t)0x9546, (q15_t)0x46a4, (q15_t)0x9543, + (q15_t)0x469f, (q15_t)0x953f, (q15_t)0x469a, (q15_t)0x953c, (q15_t)0x4694, (q15_t)0x9538, (q15_t)0x468f, (q15_t)0x9535, + (q15_t)0x468a, (q15_t)0x9532, (q15_t)0x4685, (q15_t)0x952e, (q15_t)0x467f, (q15_t)0x952b, (q15_t)0x467a, (q15_t)0x9527, + (q15_t)0x4675, (q15_t)0x9524, (q15_t)0x4670, (q15_t)0x9520, (q15_t)0x466a, (q15_t)0x951d, (q15_t)0x4665, (q15_t)0x9519, + (q15_t)0x4660, (q15_t)0x9516, (q15_t)0x465b, (q15_t)0x9512, (q15_t)0x4655, (q15_t)0x950f, (q15_t)0x4650, (q15_t)0x950c, + (q15_t)0x464b, (q15_t)0x9508, (q15_t)0x4646, (q15_t)0x9505, (q15_t)0x4640, (q15_t)0x9501, (q15_t)0x463b, (q15_t)0x94fe, + (q15_t)0x4636, (q15_t)0x94fa, (q15_t)0x4631, (q15_t)0x94f7, (q15_t)0x462b, (q15_t)0x94f3, (q15_t)0x4626, (q15_t)0x94f0, + (q15_t)0x4621, (q15_t)0x94ed, (q15_t)0x461c, (q15_t)0x94e9, (q15_t)0x4616, (q15_t)0x94e6, (q15_t)0x4611, (q15_t)0x94e2, + (q15_t)0x460c, (q15_t)0x94df, (q15_t)0x4607, (q15_t)0x94db, (q15_t)0x4601, (q15_t)0x94d8, (q15_t)0x45fc, (q15_t)0x94d4, + (q15_t)0x45f7, (q15_t)0x94d1, (q15_t)0x45f2, (q15_t)0x94ce, (q15_t)0x45ec, (q15_t)0x94ca, (q15_t)0x45e7, (q15_t)0x94c7, + (q15_t)0x45e2, (q15_t)0x94c3, (q15_t)0x45dd, (q15_t)0x94c0, (q15_t)0x45d7, (q15_t)0x94bc, (q15_t)0x45d2, (q15_t)0x94b9, + (q15_t)0x45cd, (q15_t)0x94b6, (q15_t)0x45c7, (q15_t)0x94b2, (q15_t)0x45c2, (q15_t)0x94af, (q15_t)0x45bd, (q15_t)0x94ab, + (q15_t)0x45b8, (q15_t)0x94a8, (q15_t)0x45b2, (q15_t)0x94a4, (q15_t)0x45ad, (q15_t)0x94a1, (q15_t)0x45a8, (q15_t)0x949e, + (q15_t)0x45a3, (q15_t)0x949a, (q15_t)0x459d, (q15_t)0x9497, (q15_t)0x4598, (q15_t)0x9493, (q15_t)0x4593, (q15_t)0x9490, + (q15_t)0x458d, (q15_t)0x948d, (q15_t)0x4588, (q15_t)0x9489, (q15_t)0x4583, (q15_t)0x9486, (q15_t)0x457e, (q15_t)0x9482, + (q15_t)0x4578, (q15_t)0x947f, (q15_t)0x4573, (q15_t)0x947b, (q15_t)0x456e, (q15_t)0x9478, (q15_t)0x4569, (q15_t)0x9475, + (q15_t)0x4563, (q15_t)0x9471, (q15_t)0x455e, (q15_t)0x946e, (q15_t)0x4559, (q15_t)0x946a, (q15_t)0x4553, (q15_t)0x9467, + (q15_t)0x454e, (q15_t)0x9464, (q15_t)0x4549, (q15_t)0x9460, (q15_t)0x4544, (q15_t)0x945d, (q15_t)0x453e, (q15_t)0x9459, + (q15_t)0x4539, (q15_t)0x9456, (q15_t)0x4534, (q15_t)0x9453, (q15_t)0x452e, (q15_t)0x944f, (q15_t)0x4529, (q15_t)0x944c, + (q15_t)0x4524, (q15_t)0x9448, (q15_t)0x451f, (q15_t)0x9445, (q15_t)0x4519, (q15_t)0x9442, (q15_t)0x4514, (q15_t)0x943e, + (q15_t)0x450f, (q15_t)0x943b, (q15_t)0x4509, (q15_t)0x9437, (q15_t)0x4504, (q15_t)0x9434, (q15_t)0x44ff, (q15_t)0x9431, + (q15_t)0x44fa, (q15_t)0x942d, (q15_t)0x44f4, (q15_t)0x942a, (q15_t)0x44ef, (q15_t)0x9427, (q15_t)0x44ea, (q15_t)0x9423, + (q15_t)0x44e4, (q15_t)0x9420, (q15_t)0x44df, (q15_t)0x941c, (q15_t)0x44da, (q15_t)0x9419, (q15_t)0x44d4, (q15_t)0x9416, + (q15_t)0x44cf, (q15_t)0x9412, (q15_t)0x44ca, (q15_t)0x940f, (q15_t)0x44c5, (q15_t)0x940b, (q15_t)0x44bf, (q15_t)0x9408, + (q15_t)0x44ba, (q15_t)0x9405, (q15_t)0x44b5, (q15_t)0x9401, (q15_t)0x44af, (q15_t)0x93fe, (q15_t)0x44aa, (q15_t)0x93fb, + (q15_t)0x44a5, (q15_t)0x93f7, (q15_t)0x449f, (q15_t)0x93f4, (q15_t)0x449a, (q15_t)0x93f1, (q15_t)0x4495, (q15_t)0x93ed, + (q15_t)0x4490, (q15_t)0x93ea, (q15_t)0x448a, (q15_t)0x93e6, (q15_t)0x4485, (q15_t)0x93e3, (q15_t)0x4480, (q15_t)0x93e0, + (q15_t)0x447a, (q15_t)0x93dc, (q15_t)0x4475, (q15_t)0x93d9, (q15_t)0x4470, (q15_t)0x93d6, (q15_t)0x446a, (q15_t)0x93d2, + (q15_t)0x4465, (q15_t)0x93cf, (q15_t)0x4460, (q15_t)0x93cc, (q15_t)0x445a, (q15_t)0x93c8, (q15_t)0x4455, (q15_t)0x93c5, + (q15_t)0x4450, (q15_t)0x93c1, (q15_t)0x444b, (q15_t)0x93be, (q15_t)0x4445, (q15_t)0x93bb, (q15_t)0x4440, (q15_t)0x93b7, + (q15_t)0x443b, (q15_t)0x93b4, (q15_t)0x4435, (q15_t)0x93b1, (q15_t)0x4430, (q15_t)0x93ad, (q15_t)0x442b, (q15_t)0x93aa, + (q15_t)0x4425, (q15_t)0x93a7, (q15_t)0x4420, (q15_t)0x93a3, (q15_t)0x441b, (q15_t)0x93a0, (q15_t)0x4415, (q15_t)0x939d, + (q15_t)0x4410, (q15_t)0x9399, (q15_t)0x440b, (q15_t)0x9396, (q15_t)0x4405, (q15_t)0x9393, (q15_t)0x4400, (q15_t)0x938f, + (q15_t)0x43fb, (q15_t)0x938c, (q15_t)0x43f5, (q15_t)0x9389, (q15_t)0x43f0, (q15_t)0x9385, (q15_t)0x43eb, (q15_t)0x9382, + (q15_t)0x43e5, (q15_t)0x937f, (q15_t)0x43e0, (q15_t)0x937b, (q15_t)0x43db, (q15_t)0x9378, (q15_t)0x43d5, (q15_t)0x9375, + (q15_t)0x43d0, (q15_t)0x9371, (q15_t)0x43cb, (q15_t)0x936e, (q15_t)0x43c5, (q15_t)0x936b, (q15_t)0x43c0, (q15_t)0x9367, + (q15_t)0x43bb, (q15_t)0x9364, (q15_t)0x43b5, (q15_t)0x9361, (q15_t)0x43b0, (q15_t)0x935d, (q15_t)0x43ab, (q15_t)0x935a, + (q15_t)0x43a5, (q15_t)0x9357, (q15_t)0x43a0, (q15_t)0x9353, (q15_t)0x439b, (q15_t)0x9350, (q15_t)0x4395, (q15_t)0x934d, + (q15_t)0x4390, (q15_t)0x9349, (q15_t)0x438b, (q15_t)0x9346, (q15_t)0x4385, (q15_t)0x9343, (q15_t)0x4380, (q15_t)0x933f, + (q15_t)0x437b, (q15_t)0x933c, (q15_t)0x4375, (q15_t)0x9339, (q15_t)0x4370, (q15_t)0x9336, (q15_t)0x436b, (q15_t)0x9332, + (q15_t)0x4365, (q15_t)0x932f, (q15_t)0x4360, (q15_t)0x932c, (q15_t)0x435b, (q15_t)0x9328, (q15_t)0x4355, (q15_t)0x9325, + (q15_t)0x4350, (q15_t)0x9322, (q15_t)0x434b, (q15_t)0x931e, (q15_t)0x4345, (q15_t)0x931b, (q15_t)0x4340, (q15_t)0x9318, + (q15_t)0x433b, (q15_t)0x9314, (q15_t)0x4335, (q15_t)0x9311, (q15_t)0x4330, (q15_t)0x930e, (q15_t)0x432b, (q15_t)0x930b, + (q15_t)0x4325, (q15_t)0x9307, (q15_t)0x4320, (q15_t)0x9304, (q15_t)0x431b, (q15_t)0x9301, (q15_t)0x4315, (q15_t)0x92fd, + (q15_t)0x4310, (q15_t)0x92fa, (q15_t)0x430b, (q15_t)0x92f7, (q15_t)0x4305, (q15_t)0x92f4, (q15_t)0x4300, (q15_t)0x92f0, + (q15_t)0x42fa, (q15_t)0x92ed, (q15_t)0x42f5, (q15_t)0x92ea, (q15_t)0x42f0, (q15_t)0x92e6, (q15_t)0x42ea, (q15_t)0x92e3, + (q15_t)0x42e5, (q15_t)0x92e0, (q15_t)0x42e0, (q15_t)0x92dd, (q15_t)0x42da, (q15_t)0x92d9, (q15_t)0x42d5, (q15_t)0x92d6, + (q15_t)0x42d0, (q15_t)0x92d3, (q15_t)0x42ca, (q15_t)0x92cf, (q15_t)0x42c5, (q15_t)0x92cc, (q15_t)0x42c0, (q15_t)0x92c9, + (q15_t)0x42ba, (q15_t)0x92c6, (q15_t)0x42b5, (q15_t)0x92c2, (q15_t)0x42af, (q15_t)0x92bf, (q15_t)0x42aa, (q15_t)0x92bc, + (q15_t)0x42a5, (q15_t)0x92b8, (q15_t)0x429f, (q15_t)0x92b5, (q15_t)0x429a, (q15_t)0x92b2, (q15_t)0x4295, (q15_t)0x92af, + (q15_t)0x428f, (q15_t)0x92ab, (q15_t)0x428a, (q15_t)0x92a8, (q15_t)0x4284, (q15_t)0x92a5, (q15_t)0x427f, (q15_t)0x92a2, + (q15_t)0x427a, (q15_t)0x929e, (q15_t)0x4274, (q15_t)0x929b, (q15_t)0x426f, (q15_t)0x9298, (q15_t)0x426a, (q15_t)0x9295, + (q15_t)0x4264, (q15_t)0x9291, (q15_t)0x425f, (q15_t)0x928e, (q15_t)0x425a, (q15_t)0x928b, (q15_t)0x4254, (q15_t)0x9288, + (q15_t)0x424f, (q15_t)0x9284, (q15_t)0x4249, (q15_t)0x9281, (q15_t)0x4244, (q15_t)0x927e, (q15_t)0x423f, (q15_t)0x927b, + (q15_t)0x4239, (q15_t)0x9277, (q15_t)0x4234, (q15_t)0x9274, (q15_t)0x422f, (q15_t)0x9271, (q15_t)0x4229, (q15_t)0x926e, + (q15_t)0x4224, (q15_t)0x926a, (q15_t)0x421e, (q15_t)0x9267, (q15_t)0x4219, (q15_t)0x9264, (q15_t)0x4214, (q15_t)0x9261, + (q15_t)0x420e, (q15_t)0x925d, (q15_t)0x4209, (q15_t)0x925a, (q15_t)0x4203, (q15_t)0x9257, (q15_t)0x41fe, (q15_t)0x9254, + (q15_t)0x41f9, (q15_t)0x9250, (q15_t)0x41f3, (q15_t)0x924d, (q15_t)0x41ee, (q15_t)0x924a, (q15_t)0x41e9, (q15_t)0x9247, + (q15_t)0x41e3, (q15_t)0x9243, (q15_t)0x41de, (q15_t)0x9240, (q15_t)0x41d8, (q15_t)0x923d, (q15_t)0x41d3, (q15_t)0x923a, + (q15_t)0x41ce, (q15_t)0x9236, (q15_t)0x41c8, (q15_t)0x9233, (q15_t)0x41c3, (q15_t)0x9230, (q15_t)0x41bd, (q15_t)0x922d, + (q15_t)0x41b8, (q15_t)0x922a, (q15_t)0x41b3, (q15_t)0x9226, (q15_t)0x41ad, (q15_t)0x9223, (q15_t)0x41a8, (q15_t)0x9220, + (q15_t)0x41a2, (q15_t)0x921d, (q15_t)0x419d, (q15_t)0x9219, (q15_t)0x4198, (q15_t)0x9216, (q15_t)0x4192, (q15_t)0x9213, + (q15_t)0x418d, (q15_t)0x9210, (q15_t)0x4188, (q15_t)0x920d, (q15_t)0x4182, (q15_t)0x9209, (q15_t)0x417d, (q15_t)0x9206, + (q15_t)0x4177, (q15_t)0x9203, (q15_t)0x4172, (q15_t)0x9200, (q15_t)0x416d, (q15_t)0x91fc, (q15_t)0x4167, (q15_t)0x91f9, + (q15_t)0x4162, (q15_t)0x91f6, (q15_t)0x415c, (q15_t)0x91f3, (q15_t)0x4157, (q15_t)0x91f0, (q15_t)0x4152, (q15_t)0x91ec, + (q15_t)0x414c, (q15_t)0x91e9, (q15_t)0x4147, (q15_t)0x91e6, (q15_t)0x4141, (q15_t)0x91e3, (q15_t)0x413c, (q15_t)0x91e0, + (q15_t)0x4136, (q15_t)0x91dc, (q15_t)0x4131, (q15_t)0x91d9, (q15_t)0x412c, (q15_t)0x91d6, (q15_t)0x4126, (q15_t)0x91d3, + (q15_t)0x4121, (q15_t)0x91d0, (q15_t)0x411b, (q15_t)0x91cc, (q15_t)0x4116, (q15_t)0x91c9, (q15_t)0x4111, (q15_t)0x91c6, + (q15_t)0x410b, (q15_t)0x91c3, (q15_t)0x4106, (q15_t)0x91c0, (q15_t)0x4100, (q15_t)0x91bc, (q15_t)0x40fb, (q15_t)0x91b9, + (q15_t)0x40f6, (q15_t)0x91b6, (q15_t)0x40f0, (q15_t)0x91b3, (q15_t)0x40eb, (q15_t)0x91b0, (q15_t)0x40e5, (q15_t)0x91ad, + (q15_t)0x40e0, (q15_t)0x91a9, (q15_t)0x40da, (q15_t)0x91a6, (q15_t)0x40d5, (q15_t)0x91a3, (q15_t)0x40d0, (q15_t)0x91a0, + (q15_t)0x40ca, (q15_t)0x919d, (q15_t)0x40c5, (q15_t)0x9199, (q15_t)0x40bf, (q15_t)0x9196, (q15_t)0x40ba, (q15_t)0x9193, + (q15_t)0x40b5, (q15_t)0x9190, (q15_t)0x40af, (q15_t)0x918d, (q15_t)0x40aa, (q15_t)0x918a, (q15_t)0x40a4, (q15_t)0x9186, + (q15_t)0x409f, (q15_t)0x9183, (q15_t)0x4099, (q15_t)0x9180, (q15_t)0x4094, (q15_t)0x917d, (q15_t)0x408f, (q15_t)0x917a, + (q15_t)0x4089, (q15_t)0x9177, (q15_t)0x4084, (q15_t)0x9173, (q15_t)0x407e, (q15_t)0x9170, (q15_t)0x4079, (q15_t)0x916d, + (q15_t)0x4073, (q15_t)0x916a, (q15_t)0x406e, (q15_t)0x9167, (q15_t)0x4069, (q15_t)0x9164, (q15_t)0x4063, (q15_t)0x9160, + (q15_t)0x405e, (q15_t)0x915d, (q15_t)0x4058, (q15_t)0x915a, (q15_t)0x4053, (q15_t)0x9157, (q15_t)0x404d, (q15_t)0x9154, + (q15_t)0x4048, (q15_t)0x9151, (q15_t)0x4043, (q15_t)0x914d, (q15_t)0x403d, (q15_t)0x914a, (q15_t)0x4038, (q15_t)0x9147, + (q15_t)0x4032, (q15_t)0x9144, (q15_t)0x402d, (q15_t)0x9141, (q15_t)0x4027, (q15_t)0x913e, (q15_t)0x4022, (q15_t)0x913a, + (q15_t)0x401d, (q15_t)0x9137, (q15_t)0x4017, (q15_t)0x9134, (q15_t)0x4012, (q15_t)0x9131, (q15_t)0x400c, (q15_t)0x912e, + (q15_t)0x4007, (q15_t)0x912b, (q15_t)0x4001, (q15_t)0x9128, (q15_t)0x3ffc, (q15_t)0x9124, (q15_t)0x3ff6, (q15_t)0x9121, + (q15_t)0x3ff1, (q15_t)0x911e, (q15_t)0x3fec, (q15_t)0x911b, (q15_t)0x3fe6, (q15_t)0x9118, (q15_t)0x3fe1, (q15_t)0x9115, + (q15_t)0x3fdb, (q15_t)0x9112, (q15_t)0x3fd6, (q15_t)0x910f, (q15_t)0x3fd0, (q15_t)0x910b, (q15_t)0x3fcb, (q15_t)0x9108, + (q15_t)0x3fc5, (q15_t)0x9105, (q15_t)0x3fc0, (q15_t)0x9102, (q15_t)0x3fbb, (q15_t)0x90ff, (q15_t)0x3fb5, (q15_t)0x90fc, + (q15_t)0x3fb0, (q15_t)0x90f9, (q15_t)0x3faa, (q15_t)0x90f5, (q15_t)0x3fa5, (q15_t)0x90f2, (q15_t)0x3f9f, (q15_t)0x90ef, + (q15_t)0x3f9a, (q15_t)0x90ec, (q15_t)0x3f94, (q15_t)0x90e9, (q15_t)0x3f8f, (q15_t)0x90e6, (q15_t)0x3f89, (q15_t)0x90e3, + (q15_t)0x3f84, (q15_t)0x90e0, (q15_t)0x3f7f, (q15_t)0x90dd, (q15_t)0x3f79, (q15_t)0x90d9, (q15_t)0x3f74, (q15_t)0x90d6, + (q15_t)0x3f6e, (q15_t)0x90d3, (q15_t)0x3f69, (q15_t)0x90d0, (q15_t)0x3f63, (q15_t)0x90cd, (q15_t)0x3f5e, (q15_t)0x90ca, + (q15_t)0x3f58, (q15_t)0x90c7, (q15_t)0x3f53, (q15_t)0x90c4, (q15_t)0x3f4d, (q15_t)0x90c1, (q15_t)0x3f48, (q15_t)0x90bd, + (q15_t)0x3f43, (q15_t)0x90ba, (q15_t)0x3f3d, (q15_t)0x90b7, (q15_t)0x3f38, (q15_t)0x90b4, (q15_t)0x3f32, (q15_t)0x90b1, + (q15_t)0x3f2d, (q15_t)0x90ae, (q15_t)0x3f27, (q15_t)0x90ab, (q15_t)0x3f22, (q15_t)0x90a8, (q15_t)0x3f1c, (q15_t)0x90a5, + (q15_t)0x3f17, (q15_t)0x90a1, (q15_t)0x3f11, (q15_t)0x909e, (q15_t)0x3f0c, (q15_t)0x909b, (q15_t)0x3f06, (q15_t)0x9098, + (q15_t)0x3f01, (q15_t)0x9095, (q15_t)0x3efb, (q15_t)0x9092, (q15_t)0x3ef6, (q15_t)0x908f, (q15_t)0x3ef1, (q15_t)0x908c, + (q15_t)0x3eeb, (q15_t)0x9089, (q15_t)0x3ee6, (q15_t)0x9086, (q15_t)0x3ee0, (q15_t)0x9083, (q15_t)0x3edb, (q15_t)0x907f, + (q15_t)0x3ed5, (q15_t)0x907c, (q15_t)0x3ed0, (q15_t)0x9079, (q15_t)0x3eca, (q15_t)0x9076, (q15_t)0x3ec5, (q15_t)0x9073, + (q15_t)0x3ebf, (q15_t)0x9070, (q15_t)0x3eba, (q15_t)0x906d, (q15_t)0x3eb4, (q15_t)0x906a, (q15_t)0x3eaf, (q15_t)0x9067, + (q15_t)0x3ea9, (q15_t)0x9064, (q15_t)0x3ea4, (q15_t)0x9061, (q15_t)0x3e9e, (q15_t)0x905e, (q15_t)0x3e99, (q15_t)0x905b, + (q15_t)0x3e93, (q15_t)0x9057, (q15_t)0x3e8e, (q15_t)0x9054, (q15_t)0x3e88, (q15_t)0x9051, (q15_t)0x3e83, (q15_t)0x904e, + (q15_t)0x3e7d, (q15_t)0x904b, (q15_t)0x3e78, (q15_t)0x9048, (q15_t)0x3e73, (q15_t)0x9045, (q15_t)0x3e6d, (q15_t)0x9042, + (q15_t)0x3e68, (q15_t)0x903f, (q15_t)0x3e62, (q15_t)0x903c, (q15_t)0x3e5d, (q15_t)0x9039, (q15_t)0x3e57, (q15_t)0x9036, + (q15_t)0x3e52, (q15_t)0x9033, (q15_t)0x3e4c, (q15_t)0x9030, (q15_t)0x3e47, (q15_t)0x902d, (q15_t)0x3e41, (q15_t)0x902a, + (q15_t)0x3e3c, (q15_t)0x9026, (q15_t)0x3e36, (q15_t)0x9023, (q15_t)0x3e31, (q15_t)0x9020, (q15_t)0x3e2b, (q15_t)0x901d, + (q15_t)0x3e26, (q15_t)0x901a, (q15_t)0x3e20, (q15_t)0x9017, (q15_t)0x3e1b, (q15_t)0x9014, (q15_t)0x3e15, (q15_t)0x9011, + (q15_t)0x3e10, (q15_t)0x900e, (q15_t)0x3e0a, (q15_t)0x900b, (q15_t)0x3e05, (q15_t)0x9008, (q15_t)0x3dff, (q15_t)0x9005, + (q15_t)0x3dfa, (q15_t)0x9002, (q15_t)0x3df4, (q15_t)0x8fff, (q15_t)0x3def, (q15_t)0x8ffc, (q15_t)0x3de9, (q15_t)0x8ff9, + (q15_t)0x3de4, (q15_t)0x8ff6, (q15_t)0x3dde, (q15_t)0x8ff3, (q15_t)0x3dd9, (q15_t)0x8ff0, (q15_t)0x3dd3, (q15_t)0x8fed, + (q15_t)0x3dce, (q15_t)0x8fea, (q15_t)0x3dc8, (q15_t)0x8fe7, (q15_t)0x3dc3, (q15_t)0x8fe3, (q15_t)0x3dbd, (q15_t)0x8fe0, + (q15_t)0x3db8, (q15_t)0x8fdd, (q15_t)0x3db2, (q15_t)0x8fda, (q15_t)0x3dad, (q15_t)0x8fd7, (q15_t)0x3da7, (q15_t)0x8fd4, + (q15_t)0x3da2, (q15_t)0x8fd1, (q15_t)0x3d9c, (q15_t)0x8fce, (q15_t)0x3d97, (q15_t)0x8fcb, (q15_t)0x3d91, (q15_t)0x8fc8, + (q15_t)0x3d8c, (q15_t)0x8fc5, (q15_t)0x3d86, (q15_t)0x8fc2, (q15_t)0x3d81, (q15_t)0x8fbf, (q15_t)0x3d7b, (q15_t)0x8fbc, + (q15_t)0x3d76, (q15_t)0x8fb9, (q15_t)0x3d70, (q15_t)0x8fb6, (q15_t)0x3d6b, (q15_t)0x8fb3, (q15_t)0x3d65, (q15_t)0x8fb0, + (q15_t)0x3d60, (q15_t)0x8fad, (q15_t)0x3d5a, (q15_t)0x8faa, (q15_t)0x3d55, (q15_t)0x8fa7, (q15_t)0x3d4f, (q15_t)0x8fa4, + (q15_t)0x3d49, (q15_t)0x8fa1, (q15_t)0x3d44, (q15_t)0x8f9e, (q15_t)0x3d3e, (q15_t)0x8f9b, (q15_t)0x3d39, (q15_t)0x8f98, + (q15_t)0x3d33, (q15_t)0x8f95, (q15_t)0x3d2e, (q15_t)0x8f92, (q15_t)0x3d28, (q15_t)0x8f8f, (q15_t)0x3d23, (q15_t)0x8f8c, + (q15_t)0x3d1d, (q15_t)0x8f89, (q15_t)0x3d18, (q15_t)0x8f86, (q15_t)0x3d12, (q15_t)0x8f83, (q15_t)0x3d0d, (q15_t)0x8f80, + (q15_t)0x3d07, (q15_t)0x8f7d, (q15_t)0x3d02, (q15_t)0x8f7a, (q15_t)0x3cfc, (q15_t)0x8f77, (q15_t)0x3cf7, (q15_t)0x8f74, + (q15_t)0x3cf1, (q15_t)0x8f71, (q15_t)0x3cec, (q15_t)0x8f6e, (q15_t)0x3ce6, (q15_t)0x8f6b, (q15_t)0x3ce1, (q15_t)0x8f68, + (q15_t)0x3cdb, (q15_t)0x8f65, (q15_t)0x3cd6, (q15_t)0x8f62, (q15_t)0x3cd0, (q15_t)0x8f5f, (q15_t)0x3cca, (q15_t)0x8f5c, + (q15_t)0x3cc5, (q15_t)0x8f59, (q15_t)0x3cbf, (q15_t)0x8f56, (q15_t)0x3cba, (q15_t)0x8f53, (q15_t)0x3cb4, (q15_t)0x8f50, + (q15_t)0x3caf, (q15_t)0x8f4d, (q15_t)0x3ca9, (q15_t)0x8f4a, (q15_t)0x3ca4, (q15_t)0x8f47, (q15_t)0x3c9e, (q15_t)0x8f44, + (q15_t)0x3c99, (q15_t)0x8f41, (q15_t)0x3c93, (q15_t)0x8f3e, (q15_t)0x3c8e, (q15_t)0x8f3b, (q15_t)0x3c88, (q15_t)0x8f38, + (q15_t)0x3c83, (q15_t)0x8f35, (q15_t)0x3c7d, (q15_t)0x8f32, (q15_t)0x3c77, (q15_t)0x8f2f, (q15_t)0x3c72, (q15_t)0x8f2d, + (q15_t)0x3c6c, (q15_t)0x8f2a, (q15_t)0x3c67, (q15_t)0x8f27, (q15_t)0x3c61, (q15_t)0x8f24, (q15_t)0x3c5c, (q15_t)0x8f21, + (q15_t)0x3c56, (q15_t)0x8f1e, (q15_t)0x3c51, (q15_t)0x8f1b, (q15_t)0x3c4b, (q15_t)0x8f18, (q15_t)0x3c46, (q15_t)0x8f15, + (q15_t)0x3c40, (q15_t)0x8f12, (q15_t)0x3c3b, (q15_t)0x8f0f, (q15_t)0x3c35, (q15_t)0x8f0c, (q15_t)0x3c2f, (q15_t)0x8f09, + (q15_t)0x3c2a, (q15_t)0x8f06, (q15_t)0x3c24, (q15_t)0x8f03, (q15_t)0x3c1f, (q15_t)0x8f00, (q15_t)0x3c19, (q15_t)0x8efd, + (q15_t)0x3c14, (q15_t)0x8efa, (q15_t)0x3c0e, (q15_t)0x8ef7, (q15_t)0x3c09, (q15_t)0x8ef4, (q15_t)0x3c03, (q15_t)0x8ef1, + (q15_t)0x3bfd, (q15_t)0x8eee, (q15_t)0x3bf8, (q15_t)0x8eec, (q15_t)0x3bf2, (q15_t)0x8ee9, (q15_t)0x3bed, (q15_t)0x8ee6, + (q15_t)0x3be7, (q15_t)0x8ee3, (q15_t)0x3be2, (q15_t)0x8ee0, (q15_t)0x3bdc, (q15_t)0x8edd, (q15_t)0x3bd7, (q15_t)0x8eda, + (q15_t)0x3bd1, (q15_t)0x8ed7, (q15_t)0x3bcc, (q15_t)0x8ed4, (q15_t)0x3bc6, (q15_t)0x8ed1, (q15_t)0x3bc0, (q15_t)0x8ece, + (q15_t)0x3bbb, (q15_t)0x8ecb, (q15_t)0x3bb5, (q15_t)0x8ec8, (q15_t)0x3bb0, (q15_t)0x8ec5, (q15_t)0x3baa, (q15_t)0x8ec2, + (q15_t)0x3ba5, (q15_t)0x8ebf, (q15_t)0x3b9f, (q15_t)0x8ebd, (q15_t)0x3b99, (q15_t)0x8eba, (q15_t)0x3b94, (q15_t)0x8eb7, + (q15_t)0x3b8e, (q15_t)0x8eb4, (q15_t)0x3b89, (q15_t)0x8eb1, (q15_t)0x3b83, (q15_t)0x8eae, (q15_t)0x3b7e, (q15_t)0x8eab, + (q15_t)0x3b78, (q15_t)0x8ea8, (q15_t)0x3b73, (q15_t)0x8ea5, (q15_t)0x3b6d, (q15_t)0x8ea2, (q15_t)0x3b67, (q15_t)0x8e9f, + (q15_t)0x3b62, (q15_t)0x8e9c, (q15_t)0x3b5c, (q15_t)0x8e99, (q15_t)0x3b57, (q15_t)0x8e97, (q15_t)0x3b51, (q15_t)0x8e94, + (q15_t)0x3b4c, (q15_t)0x8e91, (q15_t)0x3b46, (q15_t)0x8e8e, (q15_t)0x3b40, (q15_t)0x8e8b, (q15_t)0x3b3b, (q15_t)0x8e88, + (q15_t)0x3b35, (q15_t)0x8e85, (q15_t)0x3b30, (q15_t)0x8e82, (q15_t)0x3b2a, (q15_t)0x8e7f, (q15_t)0x3b25, (q15_t)0x8e7c, + (q15_t)0x3b1f, (q15_t)0x8e7a, (q15_t)0x3b19, (q15_t)0x8e77, (q15_t)0x3b14, (q15_t)0x8e74, (q15_t)0x3b0e, (q15_t)0x8e71, + (q15_t)0x3b09, (q15_t)0x8e6e, (q15_t)0x3b03, (q15_t)0x8e6b, (q15_t)0x3afe, (q15_t)0x8e68, (q15_t)0x3af8, (q15_t)0x8e65, + (q15_t)0x3af2, (q15_t)0x8e62, (q15_t)0x3aed, (q15_t)0x8e5f, (q15_t)0x3ae7, (q15_t)0x8e5d, (q15_t)0x3ae2, (q15_t)0x8e5a, + (q15_t)0x3adc, (q15_t)0x8e57, (q15_t)0x3ad7, (q15_t)0x8e54, (q15_t)0x3ad1, (q15_t)0x8e51, (q15_t)0x3acb, (q15_t)0x8e4e, + (q15_t)0x3ac6, (q15_t)0x8e4b, (q15_t)0x3ac0, (q15_t)0x8e48, (q15_t)0x3abb, (q15_t)0x8e45, (q15_t)0x3ab5, (q15_t)0x8e43, + (q15_t)0x3aaf, (q15_t)0x8e40, (q15_t)0x3aaa, (q15_t)0x8e3d, (q15_t)0x3aa4, (q15_t)0x8e3a, (q15_t)0x3a9f, (q15_t)0x8e37, + (q15_t)0x3a99, (q15_t)0x8e34, (q15_t)0x3a94, (q15_t)0x8e31, (q15_t)0x3a8e, (q15_t)0x8e2e, (q15_t)0x3a88, (q15_t)0x8e2c, + (q15_t)0x3a83, (q15_t)0x8e29, (q15_t)0x3a7d, (q15_t)0x8e26, (q15_t)0x3a78, (q15_t)0x8e23, (q15_t)0x3a72, (q15_t)0x8e20, + (q15_t)0x3a6c, (q15_t)0x8e1d, (q15_t)0x3a67, (q15_t)0x8e1a, (q15_t)0x3a61, (q15_t)0x8e17, (q15_t)0x3a5c, (q15_t)0x8e15, + (q15_t)0x3a56, (q15_t)0x8e12, (q15_t)0x3a50, (q15_t)0x8e0f, (q15_t)0x3a4b, (q15_t)0x8e0c, (q15_t)0x3a45, (q15_t)0x8e09, + (q15_t)0x3a40, (q15_t)0x8e06, (q15_t)0x3a3a, (q15_t)0x8e03, (q15_t)0x3a34, (q15_t)0x8e01, (q15_t)0x3a2f, (q15_t)0x8dfe, + (q15_t)0x3a29, (q15_t)0x8dfb, (q15_t)0x3a24, (q15_t)0x8df8, (q15_t)0x3a1e, (q15_t)0x8df5, (q15_t)0x3a19, (q15_t)0x8df2, + (q15_t)0x3a13, (q15_t)0x8def, (q15_t)0x3a0d, (q15_t)0x8ded, (q15_t)0x3a08, (q15_t)0x8dea, (q15_t)0x3a02, (q15_t)0x8de7, + (q15_t)0x39fd, (q15_t)0x8de4, (q15_t)0x39f7, (q15_t)0x8de1, (q15_t)0x39f1, (q15_t)0x8dde, (q15_t)0x39ec, (q15_t)0x8ddc, + (q15_t)0x39e6, (q15_t)0x8dd9, (q15_t)0x39e0, (q15_t)0x8dd6, (q15_t)0x39db, (q15_t)0x8dd3, (q15_t)0x39d5, (q15_t)0x8dd0, + (q15_t)0x39d0, (q15_t)0x8dcd, (q15_t)0x39ca, (q15_t)0x8dca, (q15_t)0x39c4, (q15_t)0x8dc8, (q15_t)0x39bf, (q15_t)0x8dc5, + (q15_t)0x39b9, (q15_t)0x8dc2, (q15_t)0x39b4, (q15_t)0x8dbf, (q15_t)0x39ae, (q15_t)0x8dbc, (q15_t)0x39a8, (q15_t)0x8db9, + (q15_t)0x39a3, (q15_t)0x8db7, (q15_t)0x399d, (q15_t)0x8db4, (q15_t)0x3998, (q15_t)0x8db1, (q15_t)0x3992, (q15_t)0x8dae, + (q15_t)0x398c, (q15_t)0x8dab, (q15_t)0x3987, (q15_t)0x8da9, (q15_t)0x3981, (q15_t)0x8da6, (q15_t)0x397c, (q15_t)0x8da3, + (q15_t)0x3976, (q15_t)0x8da0, (q15_t)0x3970, (q15_t)0x8d9d, (q15_t)0x396b, (q15_t)0x8d9a, (q15_t)0x3965, (q15_t)0x8d98, + (q15_t)0x395f, (q15_t)0x8d95, (q15_t)0x395a, (q15_t)0x8d92, (q15_t)0x3954, (q15_t)0x8d8f, (q15_t)0x394f, (q15_t)0x8d8c, + (q15_t)0x3949, (q15_t)0x8d8a, (q15_t)0x3943, (q15_t)0x8d87, (q15_t)0x393e, (q15_t)0x8d84, (q15_t)0x3938, (q15_t)0x8d81, + (q15_t)0x3932, (q15_t)0x8d7e, (q15_t)0x392d, (q15_t)0x8d7b, (q15_t)0x3927, (q15_t)0x8d79, (q15_t)0x3922, (q15_t)0x8d76, + (q15_t)0x391c, (q15_t)0x8d73, (q15_t)0x3916, (q15_t)0x8d70, (q15_t)0x3911, (q15_t)0x8d6d, (q15_t)0x390b, (q15_t)0x8d6b, + (q15_t)0x3906, (q15_t)0x8d68, (q15_t)0x3900, (q15_t)0x8d65, (q15_t)0x38fa, (q15_t)0x8d62, (q15_t)0x38f5, (q15_t)0x8d5f, + (q15_t)0x38ef, (q15_t)0x8d5d, (q15_t)0x38e9, (q15_t)0x8d5a, (q15_t)0x38e4, (q15_t)0x8d57, (q15_t)0x38de, (q15_t)0x8d54, + (q15_t)0x38d8, (q15_t)0x8d51, (q15_t)0x38d3, (q15_t)0x8d4f, (q15_t)0x38cd, (q15_t)0x8d4c, (q15_t)0x38c8, (q15_t)0x8d49, + (q15_t)0x38c2, (q15_t)0x8d46, (q15_t)0x38bc, (q15_t)0x8d44, (q15_t)0x38b7, (q15_t)0x8d41, (q15_t)0x38b1, (q15_t)0x8d3e, + (q15_t)0x38ab, (q15_t)0x8d3b, (q15_t)0x38a6, (q15_t)0x8d38, (q15_t)0x38a0, (q15_t)0x8d36, (q15_t)0x389b, (q15_t)0x8d33, + (q15_t)0x3895, (q15_t)0x8d30, (q15_t)0x388f, (q15_t)0x8d2d, (q15_t)0x388a, (q15_t)0x8d2b, (q15_t)0x3884, (q15_t)0x8d28, + (q15_t)0x387e, (q15_t)0x8d25, (q15_t)0x3879, (q15_t)0x8d22, (q15_t)0x3873, (q15_t)0x8d1f, (q15_t)0x386d, (q15_t)0x8d1d, + (q15_t)0x3868, (q15_t)0x8d1a, (q15_t)0x3862, (q15_t)0x8d17, (q15_t)0x385d, (q15_t)0x8d14, (q15_t)0x3857, (q15_t)0x8d12, + (q15_t)0x3851, (q15_t)0x8d0f, (q15_t)0x384c, (q15_t)0x8d0c, (q15_t)0x3846, (q15_t)0x8d09, (q15_t)0x3840, (q15_t)0x8d07, + (q15_t)0x383b, (q15_t)0x8d04, (q15_t)0x3835, (q15_t)0x8d01, (q15_t)0x382f, (q15_t)0x8cfe, (q15_t)0x382a, (q15_t)0x8cfb, + (q15_t)0x3824, (q15_t)0x8cf9, (q15_t)0x381e, (q15_t)0x8cf6, (q15_t)0x3819, (q15_t)0x8cf3, (q15_t)0x3813, (q15_t)0x8cf0, + (q15_t)0x380d, (q15_t)0x8cee, (q15_t)0x3808, (q15_t)0x8ceb, (q15_t)0x3802, (q15_t)0x8ce8, (q15_t)0x37fd, (q15_t)0x8ce5, + (q15_t)0x37f7, (q15_t)0x8ce3, (q15_t)0x37f1, (q15_t)0x8ce0, (q15_t)0x37ec, (q15_t)0x8cdd, (q15_t)0x37e6, (q15_t)0x8cda, + (q15_t)0x37e0, (q15_t)0x8cd8, (q15_t)0x37db, (q15_t)0x8cd5, (q15_t)0x37d5, (q15_t)0x8cd2, (q15_t)0x37cf, (q15_t)0x8cd0, + (q15_t)0x37ca, (q15_t)0x8ccd, (q15_t)0x37c4, (q15_t)0x8cca, (q15_t)0x37be, (q15_t)0x8cc7, (q15_t)0x37b9, (q15_t)0x8cc5, + (q15_t)0x37b3, (q15_t)0x8cc2, (q15_t)0x37ad, (q15_t)0x8cbf, (q15_t)0x37a8, (q15_t)0x8cbc, (q15_t)0x37a2, (q15_t)0x8cba, + (q15_t)0x379c, (q15_t)0x8cb7, (q15_t)0x3797, (q15_t)0x8cb4, (q15_t)0x3791, (q15_t)0x8cb1, (q15_t)0x378b, (q15_t)0x8caf, + (q15_t)0x3786, (q15_t)0x8cac, (q15_t)0x3780, (q15_t)0x8ca9, (q15_t)0x377a, (q15_t)0x8ca7, (q15_t)0x3775, (q15_t)0x8ca4, + (q15_t)0x376f, (q15_t)0x8ca1, (q15_t)0x3769, (q15_t)0x8c9e, (q15_t)0x3764, (q15_t)0x8c9c, (q15_t)0x375e, (q15_t)0x8c99, + (q15_t)0x3758, (q15_t)0x8c96, (q15_t)0x3753, (q15_t)0x8c94, (q15_t)0x374d, (q15_t)0x8c91, (q15_t)0x3747, (q15_t)0x8c8e, + (q15_t)0x3742, (q15_t)0x8c8b, (q15_t)0x373c, (q15_t)0x8c89, (q15_t)0x3736, (q15_t)0x8c86, (q15_t)0x3731, (q15_t)0x8c83, + (q15_t)0x372b, (q15_t)0x8c81, (q15_t)0x3725, (q15_t)0x8c7e, (q15_t)0x3720, (q15_t)0x8c7b, (q15_t)0x371a, (q15_t)0x8c78, + (q15_t)0x3714, (q15_t)0x8c76, (q15_t)0x370f, (q15_t)0x8c73, (q15_t)0x3709, (q15_t)0x8c70, (q15_t)0x3703, (q15_t)0x8c6e, + (q15_t)0x36fe, (q15_t)0x8c6b, (q15_t)0x36f8, (q15_t)0x8c68, (q15_t)0x36f2, (q15_t)0x8c65, (q15_t)0x36ed, (q15_t)0x8c63, + (q15_t)0x36e7, (q15_t)0x8c60, (q15_t)0x36e1, (q15_t)0x8c5d, (q15_t)0x36dc, (q15_t)0x8c5b, (q15_t)0x36d6, (q15_t)0x8c58, + (q15_t)0x36d0, (q15_t)0x8c55, (q15_t)0x36cb, (q15_t)0x8c53, (q15_t)0x36c5, (q15_t)0x8c50, (q15_t)0x36bf, (q15_t)0x8c4d, + (q15_t)0x36ba, (q15_t)0x8c4b, (q15_t)0x36b4, (q15_t)0x8c48, (q15_t)0x36ae, (q15_t)0x8c45, (q15_t)0x36a9, (q15_t)0x8c43, + (q15_t)0x36a3, (q15_t)0x8c40, (q15_t)0x369d, (q15_t)0x8c3d, (q15_t)0x3698, (q15_t)0x8c3a, (q15_t)0x3692, (q15_t)0x8c38, + (q15_t)0x368c, (q15_t)0x8c35, (q15_t)0x3686, (q15_t)0x8c32, (q15_t)0x3681, (q15_t)0x8c30, (q15_t)0x367b, (q15_t)0x8c2d, + (q15_t)0x3675, (q15_t)0x8c2a, (q15_t)0x3670, (q15_t)0x8c28, (q15_t)0x366a, (q15_t)0x8c25, (q15_t)0x3664, (q15_t)0x8c22, + (q15_t)0x365f, (q15_t)0x8c20, (q15_t)0x3659, (q15_t)0x8c1d, (q15_t)0x3653, (q15_t)0x8c1a, (q15_t)0x364e, (q15_t)0x8c18, + (q15_t)0x3648, (q15_t)0x8c15, (q15_t)0x3642, (q15_t)0x8c12, (q15_t)0x363d, (q15_t)0x8c10, (q15_t)0x3637, (q15_t)0x8c0d, + (q15_t)0x3631, (q15_t)0x8c0a, (q15_t)0x362b, (q15_t)0x8c08, (q15_t)0x3626, (q15_t)0x8c05, (q15_t)0x3620, (q15_t)0x8c02, + (q15_t)0x361a, (q15_t)0x8c00, (q15_t)0x3615, (q15_t)0x8bfd, (q15_t)0x360f, (q15_t)0x8bfa, (q15_t)0x3609, (q15_t)0x8bf8, + (q15_t)0x3604, (q15_t)0x8bf5, (q15_t)0x35fe, (q15_t)0x8bf3, (q15_t)0x35f8, (q15_t)0x8bf0, (q15_t)0x35f3, (q15_t)0x8bed, + (q15_t)0x35ed, (q15_t)0x8beb, (q15_t)0x35e7, (q15_t)0x8be8, (q15_t)0x35e1, (q15_t)0x8be5, (q15_t)0x35dc, (q15_t)0x8be3, + (q15_t)0x35d6, (q15_t)0x8be0, (q15_t)0x35d0, (q15_t)0x8bdd, (q15_t)0x35cb, (q15_t)0x8bdb, (q15_t)0x35c5, (q15_t)0x8bd8, + (q15_t)0x35bf, (q15_t)0x8bd5, (q15_t)0x35ba, (q15_t)0x8bd3, (q15_t)0x35b4, (q15_t)0x8bd0, (q15_t)0x35ae, (q15_t)0x8bce, + (q15_t)0x35a8, (q15_t)0x8bcb, (q15_t)0x35a3, (q15_t)0x8bc8, (q15_t)0x359d, (q15_t)0x8bc6, (q15_t)0x3597, (q15_t)0x8bc3, + (q15_t)0x3592, (q15_t)0x8bc0, (q15_t)0x358c, (q15_t)0x8bbe, (q15_t)0x3586, (q15_t)0x8bbb, (q15_t)0x3580, (q15_t)0x8bb8, + (q15_t)0x357b, (q15_t)0x8bb6, (q15_t)0x3575, (q15_t)0x8bb3, (q15_t)0x356f, (q15_t)0x8bb1, (q15_t)0x356a, (q15_t)0x8bae, + (q15_t)0x3564, (q15_t)0x8bab, (q15_t)0x355e, (q15_t)0x8ba9, (q15_t)0x3558, (q15_t)0x8ba6, (q15_t)0x3553, (q15_t)0x8ba4, + (q15_t)0x354d, (q15_t)0x8ba1, (q15_t)0x3547, (q15_t)0x8b9e, (q15_t)0x3542, (q15_t)0x8b9c, (q15_t)0x353c, (q15_t)0x8b99, + (q15_t)0x3536, (q15_t)0x8b96, (q15_t)0x3530, (q15_t)0x8b94, (q15_t)0x352b, (q15_t)0x8b91, (q15_t)0x3525, (q15_t)0x8b8f, + (q15_t)0x351f, (q15_t)0x8b8c, (q15_t)0x351a, (q15_t)0x8b89, (q15_t)0x3514, (q15_t)0x8b87, (q15_t)0x350e, (q15_t)0x8b84, + (q15_t)0x3508, (q15_t)0x8b82, (q15_t)0x3503, (q15_t)0x8b7f, (q15_t)0x34fd, (q15_t)0x8b7c, (q15_t)0x34f7, (q15_t)0x8b7a, + (q15_t)0x34f2, (q15_t)0x8b77, (q15_t)0x34ec, (q15_t)0x8b75, (q15_t)0x34e6, (q15_t)0x8b72, (q15_t)0x34e0, (q15_t)0x8b6f, + (q15_t)0x34db, (q15_t)0x8b6d, (q15_t)0x34d5, (q15_t)0x8b6a, (q15_t)0x34cf, (q15_t)0x8b68, (q15_t)0x34ca, (q15_t)0x8b65, + (q15_t)0x34c4, (q15_t)0x8b62, (q15_t)0x34be, (q15_t)0x8b60, (q15_t)0x34b8, (q15_t)0x8b5d, (q15_t)0x34b3, (q15_t)0x8b5b, + (q15_t)0x34ad, (q15_t)0x8b58, (q15_t)0x34a7, (q15_t)0x8b55, (q15_t)0x34a1, (q15_t)0x8b53, (q15_t)0x349c, (q15_t)0x8b50, + (q15_t)0x3496, (q15_t)0x8b4e, (q15_t)0x3490, (q15_t)0x8b4b, (q15_t)0x348b, (q15_t)0x8b49, (q15_t)0x3485, (q15_t)0x8b46, + (q15_t)0x347f, (q15_t)0x8b43, (q15_t)0x3479, (q15_t)0x8b41, (q15_t)0x3474, (q15_t)0x8b3e, (q15_t)0x346e, (q15_t)0x8b3c, + (q15_t)0x3468, (q15_t)0x8b39, (q15_t)0x3462, (q15_t)0x8b37, (q15_t)0x345d, (q15_t)0x8b34, (q15_t)0x3457, (q15_t)0x8b31, + (q15_t)0x3451, (q15_t)0x8b2f, (q15_t)0x344b, (q15_t)0x8b2c, (q15_t)0x3446, (q15_t)0x8b2a, (q15_t)0x3440, (q15_t)0x8b27, + (q15_t)0x343a, (q15_t)0x8b25, (q15_t)0x3435, (q15_t)0x8b22, (q15_t)0x342f, (q15_t)0x8b1f, (q15_t)0x3429, (q15_t)0x8b1d, + (q15_t)0x3423, (q15_t)0x8b1a, (q15_t)0x341e, (q15_t)0x8b18, (q15_t)0x3418, (q15_t)0x8b15, (q15_t)0x3412, (q15_t)0x8b13, + (q15_t)0x340c, (q15_t)0x8b10, (q15_t)0x3407, (q15_t)0x8b0e, (q15_t)0x3401, (q15_t)0x8b0b, (q15_t)0x33fb, (q15_t)0x8b08, + (q15_t)0x33f5, (q15_t)0x8b06, (q15_t)0x33f0, (q15_t)0x8b03, (q15_t)0x33ea, (q15_t)0x8b01, (q15_t)0x33e4, (q15_t)0x8afe, + (q15_t)0x33de, (q15_t)0x8afc, (q15_t)0x33d9, (q15_t)0x8af9, (q15_t)0x33d3, (q15_t)0x8af7, (q15_t)0x33cd, (q15_t)0x8af4, + (q15_t)0x33c7, (q15_t)0x8af1, (q15_t)0x33c2, (q15_t)0x8aef, (q15_t)0x33bc, (q15_t)0x8aec, (q15_t)0x33b6, (q15_t)0x8aea, + (q15_t)0x33b0, (q15_t)0x8ae7, (q15_t)0x33ab, (q15_t)0x8ae5, (q15_t)0x33a5, (q15_t)0x8ae2, (q15_t)0x339f, (q15_t)0x8ae0, + (q15_t)0x3399, (q15_t)0x8add, (q15_t)0x3394, (q15_t)0x8adb, (q15_t)0x338e, (q15_t)0x8ad8, (q15_t)0x3388, (q15_t)0x8ad6, + (q15_t)0x3382, (q15_t)0x8ad3, (q15_t)0x337d, (q15_t)0x8ad1, (q15_t)0x3377, (q15_t)0x8ace, (q15_t)0x3371, (q15_t)0x8acb, + (q15_t)0x336b, (q15_t)0x8ac9, (q15_t)0x3366, (q15_t)0x8ac6, (q15_t)0x3360, (q15_t)0x8ac4, (q15_t)0x335a, (q15_t)0x8ac1, + (q15_t)0x3354, (q15_t)0x8abf, (q15_t)0x334f, (q15_t)0x8abc, (q15_t)0x3349, (q15_t)0x8aba, (q15_t)0x3343, (q15_t)0x8ab7, + (q15_t)0x333d, (q15_t)0x8ab5, (q15_t)0x3338, (q15_t)0x8ab2, (q15_t)0x3332, (q15_t)0x8ab0, (q15_t)0x332c, (q15_t)0x8aad, + (q15_t)0x3326, (q15_t)0x8aab, (q15_t)0x3321, (q15_t)0x8aa8, (q15_t)0x331b, (q15_t)0x8aa6, (q15_t)0x3315, (q15_t)0x8aa3, + (q15_t)0x330f, (q15_t)0x8aa1, (q15_t)0x330a, (q15_t)0x8a9e, (q15_t)0x3304, (q15_t)0x8a9c, (q15_t)0x32fe, (q15_t)0x8a99, + (q15_t)0x32f8, (q15_t)0x8a97, (q15_t)0x32f3, (q15_t)0x8a94, (q15_t)0x32ed, (q15_t)0x8a92, (q15_t)0x32e7, (q15_t)0x8a8f, + (q15_t)0x32e1, (q15_t)0x8a8d, (q15_t)0x32db, (q15_t)0x8a8a, (q15_t)0x32d6, (q15_t)0x8a88, (q15_t)0x32d0, (q15_t)0x8a85, + (q15_t)0x32ca, (q15_t)0x8a83, (q15_t)0x32c4, (q15_t)0x8a80, (q15_t)0x32bf, (q15_t)0x8a7e, (q15_t)0x32b9, (q15_t)0x8a7b, + (q15_t)0x32b3, (q15_t)0x8a79, (q15_t)0x32ad, (q15_t)0x8a76, (q15_t)0x32a8, (q15_t)0x8a74, (q15_t)0x32a2, (q15_t)0x8a71, + (q15_t)0x329c, (q15_t)0x8a6f, (q15_t)0x3296, (q15_t)0x8a6c, (q15_t)0x3290, (q15_t)0x8a6a, (q15_t)0x328b, (q15_t)0x8a67, + (q15_t)0x3285, (q15_t)0x8a65, (q15_t)0x327f, (q15_t)0x8a62, (q15_t)0x3279, (q15_t)0x8a60, (q15_t)0x3274, (q15_t)0x8a5d, + (q15_t)0x326e, (q15_t)0x8a5b, (q15_t)0x3268, (q15_t)0x8a59, (q15_t)0x3262, (q15_t)0x8a56, (q15_t)0x325d, (q15_t)0x8a54, + (q15_t)0x3257, (q15_t)0x8a51, (q15_t)0x3251, (q15_t)0x8a4f, (q15_t)0x324b, (q15_t)0x8a4c, (q15_t)0x3245, (q15_t)0x8a4a, + (q15_t)0x3240, (q15_t)0x8a47, (q15_t)0x323a, (q15_t)0x8a45, (q15_t)0x3234, (q15_t)0x8a42, (q15_t)0x322e, (q15_t)0x8a40, + (q15_t)0x3228, (q15_t)0x8a3d, (q15_t)0x3223, (q15_t)0x8a3b, (q15_t)0x321d, (q15_t)0x8a38, (q15_t)0x3217, (q15_t)0x8a36, + (q15_t)0x3211, (q15_t)0x8a34, (q15_t)0x320c, (q15_t)0x8a31, (q15_t)0x3206, (q15_t)0x8a2f, (q15_t)0x3200, (q15_t)0x8a2c, + (q15_t)0x31fa, (q15_t)0x8a2a, (q15_t)0x31f4, (q15_t)0x8a27, (q15_t)0x31ef, (q15_t)0x8a25, (q15_t)0x31e9, (q15_t)0x8a22, + (q15_t)0x31e3, (q15_t)0x8a20, (q15_t)0x31dd, (q15_t)0x8a1d, (q15_t)0x31d8, (q15_t)0x8a1b, (q15_t)0x31d2, (q15_t)0x8a19, + (q15_t)0x31cc, (q15_t)0x8a16, (q15_t)0x31c6, (q15_t)0x8a14, (q15_t)0x31c0, (q15_t)0x8a11, (q15_t)0x31bb, (q15_t)0x8a0f, + (q15_t)0x31b5, (q15_t)0x8a0c, (q15_t)0x31af, (q15_t)0x8a0a, (q15_t)0x31a9, (q15_t)0x8a07, (q15_t)0x31a3, (q15_t)0x8a05, + (q15_t)0x319e, (q15_t)0x8a03, (q15_t)0x3198, (q15_t)0x8a00, (q15_t)0x3192, (q15_t)0x89fe, (q15_t)0x318c, (q15_t)0x89fb, + (q15_t)0x3186, (q15_t)0x89f9, (q15_t)0x3181, (q15_t)0x89f6, (q15_t)0x317b, (q15_t)0x89f4, (q15_t)0x3175, (q15_t)0x89f2, + (q15_t)0x316f, (q15_t)0x89ef, (q15_t)0x3169, (q15_t)0x89ed, (q15_t)0x3164, (q15_t)0x89ea, (q15_t)0x315e, (q15_t)0x89e8, + (q15_t)0x3158, (q15_t)0x89e5, (q15_t)0x3152, (q15_t)0x89e3, (q15_t)0x314c, (q15_t)0x89e1, (q15_t)0x3147, (q15_t)0x89de, + (q15_t)0x3141, (q15_t)0x89dc, (q15_t)0x313b, (q15_t)0x89d9, (q15_t)0x3135, (q15_t)0x89d7, (q15_t)0x312f, (q15_t)0x89d5, + (q15_t)0x312a, (q15_t)0x89d2, (q15_t)0x3124, (q15_t)0x89d0, (q15_t)0x311e, (q15_t)0x89cd, (q15_t)0x3118, (q15_t)0x89cb, + (q15_t)0x3112, (q15_t)0x89c8, (q15_t)0x310d, (q15_t)0x89c6, (q15_t)0x3107, (q15_t)0x89c4, (q15_t)0x3101, (q15_t)0x89c1, + (q15_t)0x30fb, (q15_t)0x89bf, (q15_t)0x30f5, (q15_t)0x89bc, (q15_t)0x30f0, (q15_t)0x89ba, (q15_t)0x30ea, (q15_t)0x89b8, + (q15_t)0x30e4, (q15_t)0x89b5, (q15_t)0x30de, (q15_t)0x89b3, (q15_t)0x30d8, (q15_t)0x89b0, (q15_t)0x30d3, (q15_t)0x89ae, + (q15_t)0x30cd, (q15_t)0x89ac, (q15_t)0x30c7, (q15_t)0x89a9, (q15_t)0x30c1, (q15_t)0x89a7, (q15_t)0x30bb, (q15_t)0x89a4, + (q15_t)0x30b6, (q15_t)0x89a2, (q15_t)0x30b0, (q15_t)0x89a0, (q15_t)0x30aa, (q15_t)0x899d, (q15_t)0x30a4, (q15_t)0x899b, + (q15_t)0x309e, (q15_t)0x8998, (q15_t)0x3099, (q15_t)0x8996, (q15_t)0x3093, (q15_t)0x8994, (q15_t)0x308d, (q15_t)0x8991, + (q15_t)0x3087, (q15_t)0x898f, (q15_t)0x3081, (q15_t)0x898d, (q15_t)0x307b, (q15_t)0x898a, (q15_t)0x3076, (q15_t)0x8988, + (q15_t)0x3070, (q15_t)0x8985, (q15_t)0x306a, (q15_t)0x8983, (q15_t)0x3064, (q15_t)0x8981, (q15_t)0x305e, (q15_t)0x897e, + (q15_t)0x3059, (q15_t)0x897c, (q15_t)0x3053, (q15_t)0x897a, (q15_t)0x304d, (q15_t)0x8977, (q15_t)0x3047, (q15_t)0x8975, + (q15_t)0x3041, (q15_t)0x8972, (q15_t)0x303b, (q15_t)0x8970, (q15_t)0x3036, (q15_t)0x896e, (q15_t)0x3030, (q15_t)0x896b, + (q15_t)0x302a, (q15_t)0x8969, (q15_t)0x3024, (q15_t)0x8967, (q15_t)0x301e, (q15_t)0x8964, (q15_t)0x3019, (q15_t)0x8962, + (q15_t)0x3013, (q15_t)0x8960, (q15_t)0x300d, (q15_t)0x895d, (q15_t)0x3007, (q15_t)0x895b, (q15_t)0x3001, (q15_t)0x8958, + (q15_t)0x2ffb, (q15_t)0x8956, (q15_t)0x2ff6, (q15_t)0x8954, (q15_t)0x2ff0, (q15_t)0x8951, (q15_t)0x2fea, (q15_t)0x894f, + (q15_t)0x2fe4, (q15_t)0x894d, (q15_t)0x2fde, (q15_t)0x894a, (q15_t)0x2fd8, (q15_t)0x8948, (q15_t)0x2fd3, (q15_t)0x8946, + (q15_t)0x2fcd, (q15_t)0x8943, (q15_t)0x2fc7, (q15_t)0x8941, (q15_t)0x2fc1, (q15_t)0x893f, (q15_t)0x2fbb, (q15_t)0x893c, + (q15_t)0x2fb5, (q15_t)0x893a, (q15_t)0x2fb0, (q15_t)0x8938, (q15_t)0x2faa, (q15_t)0x8935, (q15_t)0x2fa4, (q15_t)0x8933, + (q15_t)0x2f9e, (q15_t)0x8931, (q15_t)0x2f98, (q15_t)0x892e, (q15_t)0x2f92, (q15_t)0x892c, (q15_t)0x2f8d, (q15_t)0x892a, + (q15_t)0x2f87, (q15_t)0x8927, (q15_t)0x2f81, (q15_t)0x8925, (q15_t)0x2f7b, (q15_t)0x8923, (q15_t)0x2f75, (q15_t)0x8920, + (q15_t)0x2f6f, (q15_t)0x891e, (q15_t)0x2f6a, (q15_t)0x891c, (q15_t)0x2f64, (q15_t)0x8919, (q15_t)0x2f5e, (q15_t)0x8917, + (q15_t)0x2f58, (q15_t)0x8915, (q15_t)0x2f52, (q15_t)0x8912, (q15_t)0x2f4c, (q15_t)0x8910, (q15_t)0x2f47, (q15_t)0x890e, + (q15_t)0x2f41, (q15_t)0x890b, (q15_t)0x2f3b, (q15_t)0x8909, (q15_t)0x2f35, (q15_t)0x8907, (q15_t)0x2f2f, (q15_t)0x8904, + (q15_t)0x2f29, (q15_t)0x8902, (q15_t)0x2f24, (q15_t)0x8900, (q15_t)0x2f1e, (q15_t)0x88fd, (q15_t)0x2f18, (q15_t)0x88fb, + (q15_t)0x2f12, (q15_t)0x88f9, (q15_t)0x2f0c, (q15_t)0x88f6, (q15_t)0x2f06, (q15_t)0x88f4, (q15_t)0x2f01, (q15_t)0x88f2, + (q15_t)0x2efb, (q15_t)0x88f0, (q15_t)0x2ef5, (q15_t)0x88ed, (q15_t)0x2eef, (q15_t)0x88eb, (q15_t)0x2ee9, (q15_t)0x88e9, + (q15_t)0x2ee3, (q15_t)0x88e6, (q15_t)0x2edd, (q15_t)0x88e4, (q15_t)0x2ed8, (q15_t)0x88e2, (q15_t)0x2ed2, (q15_t)0x88df, + (q15_t)0x2ecc, (q15_t)0x88dd, (q15_t)0x2ec6, (q15_t)0x88db, (q15_t)0x2ec0, (q15_t)0x88d9, (q15_t)0x2eba, (q15_t)0x88d6, + (q15_t)0x2eb5, (q15_t)0x88d4, (q15_t)0x2eaf, (q15_t)0x88d2, (q15_t)0x2ea9, (q15_t)0x88cf, (q15_t)0x2ea3, (q15_t)0x88cd, + (q15_t)0x2e9d, (q15_t)0x88cb, (q15_t)0x2e97, (q15_t)0x88c8, (q15_t)0x2e91, (q15_t)0x88c6, (q15_t)0x2e8c, (q15_t)0x88c4, + (q15_t)0x2e86, (q15_t)0x88c2, (q15_t)0x2e80, (q15_t)0x88bf, (q15_t)0x2e7a, (q15_t)0x88bd, (q15_t)0x2e74, (q15_t)0x88bb, + (q15_t)0x2e6e, (q15_t)0x88b9, (q15_t)0x2e68, (q15_t)0x88b6, (q15_t)0x2e63, (q15_t)0x88b4, (q15_t)0x2e5d, (q15_t)0x88b2, + (q15_t)0x2e57, (q15_t)0x88af, (q15_t)0x2e51, (q15_t)0x88ad, (q15_t)0x2e4b, (q15_t)0x88ab, (q15_t)0x2e45, (q15_t)0x88a9, + (q15_t)0x2e3f, (q15_t)0x88a6, (q15_t)0x2e3a, (q15_t)0x88a4, (q15_t)0x2e34, (q15_t)0x88a2, (q15_t)0x2e2e, (q15_t)0x88a0, + (q15_t)0x2e28, (q15_t)0x889d, (q15_t)0x2e22, (q15_t)0x889b, (q15_t)0x2e1c, (q15_t)0x8899, (q15_t)0x2e16, (q15_t)0x8896, + (q15_t)0x2e11, (q15_t)0x8894, (q15_t)0x2e0b, (q15_t)0x8892, (q15_t)0x2e05, (q15_t)0x8890, (q15_t)0x2dff, (q15_t)0x888d, + (q15_t)0x2df9, (q15_t)0x888b, (q15_t)0x2df3, (q15_t)0x8889, (q15_t)0x2ded, (q15_t)0x8887, (q15_t)0x2de7, (q15_t)0x8884, + (q15_t)0x2de2, (q15_t)0x8882, (q15_t)0x2ddc, (q15_t)0x8880, (q15_t)0x2dd6, (q15_t)0x887e, (q15_t)0x2dd0, (q15_t)0x887b, + (q15_t)0x2dca, (q15_t)0x8879, (q15_t)0x2dc4, (q15_t)0x8877, (q15_t)0x2dbe, (q15_t)0x8875, (q15_t)0x2db9, (q15_t)0x8872, + (q15_t)0x2db3, (q15_t)0x8870, (q15_t)0x2dad, (q15_t)0x886e, (q15_t)0x2da7, (q15_t)0x886c, (q15_t)0x2da1, (q15_t)0x8869, + (q15_t)0x2d9b, (q15_t)0x8867, (q15_t)0x2d95, (q15_t)0x8865, (q15_t)0x2d8f, (q15_t)0x8863, (q15_t)0x2d8a, (q15_t)0x8860, + (q15_t)0x2d84, (q15_t)0x885e, (q15_t)0x2d7e, (q15_t)0x885c, (q15_t)0x2d78, (q15_t)0x885a, (q15_t)0x2d72, (q15_t)0x8858, + (q15_t)0x2d6c, (q15_t)0x8855, (q15_t)0x2d66, (q15_t)0x8853, (q15_t)0x2d60, (q15_t)0x8851, (q15_t)0x2d5b, (q15_t)0x884f, + (q15_t)0x2d55, (q15_t)0x884c, (q15_t)0x2d4f, (q15_t)0x884a, (q15_t)0x2d49, (q15_t)0x8848, (q15_t)0x2d43, (q15_t)0x8846, + (q15_t)0x2d3d, (q15_t)0x8844, (q15_t)0x2d37, (q15_t)0x8841, (q15_t)0x2d31, (q15_t)0x883f, (q15_t)0x2d2c, (q15_t)0x883d, + (q15_t)0x2d26, (q15_t)0x883b, (q15_t)0x2d20, (q15_t)0x8838, (q15_t)0x2d1a, (q15_t)0x8836, (q15_t)0x2d14, (q15_t)0x8834, + (q15_t)0x2d0e, (q15_t)0x8832, (q15_t)0x2d08, (q15_t)0x8830, (q15_t)0x2d02, (q15_t)0x882d, (q15_t)0x2cfd, (q15_t)0x882b, + (q15_t)0x2cf7, (q15_t)0x8829, (q15_t)0x2cf1, (q15_t)0x8827, (q15_t)0x2ceb, (q15_t)0x8825, (q15_t)0x2ce5, (q15_t)0x8822, + (q15_t)0x2cdf, (q15_t)0x8820, (q15_t)0x2cd9, (q15_t)0x881e, (q15_t)0x2cd3, (q15_t)0x881c, (q15_t)0x2ccd, (q15_t)0x881a, + (q15_t)0x2cc8, (q15_t)0x8817, (q15_t)0x2cc2, (q15_t)0x8815, (q15_t)0x2cbc, (q15_t)0x8813, (q15_t)0x2cb6, (q15_t)0x8811, + (q15_t)0x2cb0, (q15_t)0x880f, (q15_t)0x2caa, (q15_t)0x880c, (q15_t)0x2ca4, (q15_t)0x880a, (q15_t)0x2c9e, (q15_t)0x8808, + (q15_t)0x2c98, (q15_t)0x8806, (q15_t)0x2c93, (q15_t)0x8804, (q15_t)0x2c8d, (q15_t)0x8801, (q15_t)0x2c87, (q15_t)0x87ff, + (q15_t)0x2c81, (q15_t)0x87fd, (q15_t)0x2c7b, (q15_t)0x87fb, (q15_t)0x2c75, (q15_t)0x87f9, (q15_t)0x2c6f, (q15_t)0x87f6, + (q15_t)0x2c69, (q15_t)0x87f4, (q15_t)0x2c63, (q15_t)0x87f2, (q15_t)0x2c5e, (q15_t)0x87f0, (q15_t)0x2c58, (q15_t)0x87ee, + (q15_t)0x2c52, (q15_t)0x87ec, (q15_t)0x2c4c, (q15_t)0x87e9, (q15_t)0x2c46, (q15_t)0x87e7, (q15_t)0x2c40, (q15_t)0x87e5, + (q15_t)0x2c3a, (q15_t)0x87e3, (q15_t)0x2c34, (q15_t)0x87e1, (q15_t)0x2c2e, (q15_t)0x87df, (q15_t)0x2c29, (q15_t)0x87dc, + (q15_t)0x2c23, (q15_t)0x87da, (q15_t)0x2c1d, (q15_t)0x87d8, (q15_t)0x2c17, (q15_t)0x87d6, (q15_t)0x2c11, (q15_t)0x87d4, + (q15_t)0x2c0b, (q15_t)0x87d2, (q15_t)0x2c05, (q15_t)0x87cf, (q15_t)0x2bff, (q15_t)0x87cd, (q15_t)0x2bf9, (q15_t)0x87cb, + (q15_t)0x2bf3, (q15_t)0x87c9, (q15_t)0x2bee, (q15_t)0x87c7, (q15_t)0x2be8, (q15_t)0x87c5, (q15_t)0x2be2, (q15_t)0x87c2, + (q15_t)0x2bdc, (q15_t)0x87c0, (q15_t)0x2bd6, (q15_t)0x87be, (q15_t)0x2bd0, (q15_t)0x87bc, (q15_t)0x2bca, (q15_t)0x87ba, + (q15_t)0x2bc4, (q15_t)0x87b8, (q15_t)0x2bbe, (q15_t)0x87b6, (q15_t)0x2bb8, (q15_t)0x87b3, (q15_t)0x2bb2, (q15_t)0x87b1, + (q15_t)0x2bad, (q15_t)0x87af, (q15_t)0x2ba7, (q15_t)0x87ad, (q15_t)0x2ba1, (q15_t)0x87ab, (q15_t)0x2b9b, (q15_t)0x87a9, + (q15_t)0x2b95, (q15_t)0x87a7, (q15_t)0x2b8f, (q15_t)0x87a4, (q15_t)0x2b89, (q15_t)0x87a2, (q15_t)0x2b83, (q15_t)0x87a0, + (q15_t)0x2b7d, (q15_t)0x879e, (q15_t)0x2b77, (q15_t)0x879c, (q15_t)0x2b71, (q15_t)0x879a, (q15_t)0x2b6c, (q15_t)0x8798, + (q15_t)0x2b66, (q15_t)0x8795, (q15_t)0x2b60, (q15_t)0x8793, (q15_t)0x2b5a, (q15_t)0x8791, (q15_t)0x2b54, (q15_t)0x878f, + (q15_t)0x2b4e, (q15_t)0x878d, (q15_t)0x2b48, (q15_t)0x878b, (q15_t)0x2b42, (q15_t)0x8789, (q15_t)0x2b3c, (q15_t)0x8787, + (q15_t)0x2b36, (q15_t)0x8784, (q15_t)0x2b30, (q15_t)0x8782, (q15_t)0x2b2b, (q15_t)0x8780, (q15_t)0x2b25, (q15_t)0x877e, + (q15_t)0x2b1f, (q15_t)0x877c, (q15_t)0x2b19, (q15_t)0x877a, (q15_t)0x2b13, (q15_t)0x8778, (q15_t)0x2b0d, (q15_t)0x8776, + (q15_t)0x2b07, (q15_t)0x8774, (q15_t)0x2b01, (q15_t)0x8771, (q15_t)0x2afb, (q15_t)0x876f, (q15_t)0x2af5, (q15_t)0x876d, + (q15_t)0x2aef, (q15_t)0x876b, (q15_t)0x2ae9, (q15_t)0x8769, (q15_t)0x2ae4, (q15_t)0x8767, (q15_t)0x2ade, (q15_t)0x8765, + (q15_t)0x2ad8, (q15_t)0x8763, (q15_t)0x2ad2, (q15_t)0x8761, (q15_t)0x2acc, (q15_t)0x875e, (q15_t)0x2ac6, (q15_t)0x875c, + (q15_t)0x2ac0, (q15_t)0x875a, (q15_t)0x2aba, (q15_t)0x8758, (q15_t)0x2ab4, (q15_t)0x8756, (q15_t)0x2aae, (q15_t)0x8754, + (q15_t)0x2aa8, (q15_t)0x8752, (q15_t)0x2aa2, (q15_t)0x8750, (q15_t)0x2a9c, (q15_t)0x874e, (q15_t)0x2a97, (q15_t)0x874c, + (q15_t)0x2a91, (q15_t)0x874a, (q15_t)0x2a8b, (q15_t)0x8747, (q15_t)0x2a85, (q15_t)0x8745, (q15_t)0x2a7f, (q15_t)0x8743, + (q15_t)0x2a79, (q15_t)0x8741, (q15_t)0x2a73, (q15_t)0x873f, (q15_t)0x2a6d, (q15_t)0x873d, (q15_t)0x2a67, (q15_t)0x873b, + (q15_t)0x2a61, (q15_t)0x8739, (q15_t)0x2a5b, (q15_t)0x8737, (q15_t)0x2a55, (q15_t)0x8735, (q15_t)0x2a4f, (q15_t)0x8733, + (q15_t)0x2a49, (q15_t)0x8731, (q15_t)0x2a44, (q15_t)0x872e, (q15_t)0x2a3e, (q15_t)0x872c, (q15_t)0x2a38, (q15_t)0x872a, + (q15_t)0x2a32, (q15_t)0x8728, (q15_t)0x2a2c, (q15_t)0x8726, (q15_t)0x2a26, (q15_t)0x8724, (q15_t)0x2a20, (q15_t)0x8722, + (q15_t)0x2a1a, (q15_t)0x8720, (q15_t)0x2a14, (q15_t)0x871e, (q15_t)0x2a0e, (q15_t)0x871c, (q15_t)0x2a08, (q15_t)0x871a, + (q15_t)0x2a02, (q15_t)0x8718, (q15_t)0x29fc, (q15_t)0x8716, (q15_t)0x29f6, (q15_t)0x8714, (q15_t)0x29f0, (q15_t)0x8712, + (q15_t)0x29eb, (q15_t)0x870f, (q15_t)0x29e5, (q15_t)0x870d, (q15_t)0x29df, (q15_t)0x870b, (q15_t)0x29d9, (q15_t)0x8709, + (q15_t)0x29d3, (q15_t)0x8707, (q15_t)0x29cd, (q15_t)0x8705, (q15_t)0x29c7, (q15_t)0x8703, (q15_t)0x29c1, (q15_t)0x8701, + (q15_t)0x29bb, (q15_t)0x86ff, (q15_t)0x29b5, (q15_t)0x86fd, (q15_t)0x29af, (q15_t)0x86fb, (q15_t)0x29a9, (q15_t)0x86f9, + (q15_t)0x29a3, (q15_t)0x86f7, (q15_t)0x299d, (q15_t)0x86f5, (q15_t)0x2997, (q15_t)0x86f3, (q15_t)0x2991, (q15_t)0x86f1, + (q15_t)0x298b, (q15_t)0x86ef, (q15_t)0x2986, (q15_t)0x86ed, (q15_t)0x2980, (q15_t)0x86eb, (q15_t)0x297a, (q15_t)0x86e9, + (q15_t)0x2974, (q15_t)0x86e7, (q15_t)0x296e, (q15_t)0x86e4, (q15_t)0x2968, (q15_t)0x86e2, (q15_t)0x2962, (q15_t)0x86e0, + (q15_t)0x295c, (q15_t)0x86de, (q15_t)0x2956, (q15_t)0x86dc, (q15_t)0x2950, (q15_t)0x86da, (q15_t)0x294a, (q15_t)0x86d8, + (q15_t)0x2944, (q15_t)0x86d6, (q15_t)0x293e, (q15_t)0x86d4, (q15_t)0x2938, (q15_t)0x86d2, (q15_t)0x2932, (q15_t)0x86d0, + (q15_t)0x292c, (q15_t)0x86ce, (q15_t)0x2926, (q15_t)0x86cc, (q15_t)0x2920, (q15_t)0x86ca, (q15_t)0x291b, (q15_t)0x86c8, + (q15_t)0x2915, (q15_t)0x86c6, (q15_t)0x290f, (q15_t)0x86c4, (q15_t)0x2909, (q15_t)0x86c2, (q15_t)0x2903, (q15_t)0x86c0, + (q15_t)0x28fd, (q15_t)0x86be, (q15_t)0x28f7, (q15_t)0x86bc, (q15_t)0x28f1, (q15_t)0x86ba, (q15_t)0x28eb, (q15_t)0x86b8, + (q15_t)0x28e5, (q15_t)0x86b6, (q15_t)0x28df, (q15_t)0x86b4, (q15_t)0x28d9, (q15_t)0x86b2, (q15_t)0x28d3, (q15_t)0x86b0, + (q15_t)0x28cd, (q15_t)0x86ae, (q15_t)0x28c7, (q15_t)0x86ac, (q15_t)0x28c1, (q15_t)0x86aa, (q15_t)0x28bb, (q15_t)0x86a8, + (q15_t)0x28b5, (q15_t)0x86a6, (q15_t)0x28af, (q15_t)0x86a4, (q15_t)0x28a9, (q15_t)0x86a2, (q15_t)0x28a3, (q15_t)0x86a0, + (q15_t)0x289d, (q15_t)0x869e, (q15_t)0x2898, (q15_t)0x869c, (q15_t)0x2892, (q15_t)0x869a, (q15_t)0x288c, (q15_t)0x8698, + (q15_t)0x2886, (q15_t)0x8696, (q15_t)0x2880, (q15_t)0x8694, (q15_t)0x287a, (q15_t)0x8692, (q15_t)0x2874, (q15_t)0x8690, + (q15_t)0x286e, (q15_t)0x868e, (q15_t)0x2868, (q15_t)0x868c, (q15_t)0x2862, (q15_t)0x868a, (q15_t)0x285c, (q15_t)0x8688, + (q15_t)0x2856, (q15_t)0x8686, (q15_t)0x2850, (q15_t)0x8684, (q15_t)0x284a, (q15_t)0x8682, (q15_t)0x2844, (q15_t)0x8680, + (q15_t)0x283e, (q15_t)0x867e, (q15_t)0x2838, (q15_t)0x867c, (q15_t)0x2832, (q15_t)0x867a, (q15_t)0x282c, (q15_t)0x8678, + (q15_t)0x2826, (q15_t)0x8676, (q15_t)0x2820, (q15_t)0x8674, (q15_t)0x281a, (q15_t)0x8672, (q15_t)0x2814, (q15_t)0x8670, + (q15_t)0x280e, (q15_t)0x866e, (q15_t)0x2808, (q15_t)0x866d, (q15_t)0x2802, (q15_t)0x866b, (q15_t)0x27fc, (q15_t)0x8669, + (q15_t)0x27f6, (q15_t)0x8667, (q15_t)0x27f1, (q15_t)0x8665, (q15_t)0x27eb, (q15_t)0x8663, (q15_t)0x27e5, (q15_t)0x8661, + (q15_t)0x27df, (q15_t)0x865f, (q15_t)0x27d9, (q15_t)0x865d, (q15_t)0x27d3, (q15_t)0x865b, (q15_t)0x27cd, (q15_t)0x8659, + (q15_t)0x27c7, (q15_t)0x8657, (q15_t)0x27c1, (q15_t)0x8655, (q15_t)0x27bb, (q15_t)0x8653, (q15_t)0x27b5, (q15_t)0x8651, + (q15_t)0x27af, (q15_t)0x864f, (q15_t)0x27a9, (q15_t)0x864d, (q15_t)0x27a3, (q15_t)0x864b, (q15_t)0x279d, (q15_t)0x8649, + (q15_t)0x2797, (q15_t)0x8647, (q15_t)0x2791, (q15_t)0x8645, (q15_t)0x278b, (q15_t)0x8644, (q15_t)0x2785, (q15_t)0x8642, + (q15_t)0x277f, (q15_t)0x8640, (q15_t)0x2779, (q15_t)0x863e, (q15_t)0x2773, (q15_t)0x863c, (q15_t)0x276d, (q15_t)0x863a, + (q15_t)0x2767, (q15_t)0x8638, (q15_t)0x2761, (q15_t)0x8636, (q15_t)0x275b, (q15_t)0x8634, (q15_t)0x2755, (q15_t)0x8632, + (q15_t)0x274f, (q15_t)0x8630, (q15_t)0x2749, (q15_t)0x862e, (q15_t)0x2743, (q15_t)0x862c, (q15_t)0x273d, (q15_t)0x862a, + (q15_t)0x2737, (q15_t)0x8628, (q15_t)0x2731, (q15_t)0x8627, (q15_t)0x272b, (q15_t)0x8625, (q15_t)0x2725, (q15_t)0x8623, + (q15_t)0x271f, (q15_t)0x8621, (q15_t)0x2719, (q15_t)0x861f, (q15_t)0x2713, (q15_t)0x861d, (q15_t)0x270d, (q15_t)0x861b, + (q15_t)0x2707, (q15_t)0x8619, (q15_t)0x2701, (q15_t)0x8617, (q15_t)0x26fb, (q15_t)0x8615, (q15_t)0x26f5, (q15_t)0x8613, + (q15_t)0x26ef, (q15_t)0x8611, (q15_t)0x26e9, (q15_t)0x8610, (q15_t)0x26e4, (q15_t)0x860e, (q15_t)0x26de, (q15_t)0x860c, + (q15_t)0x26d8, (q15_t)0x860a, (q15_t)0x26d2, (q15_t)0x8608, (q15_t)0x26cc, (q15_t)0x8606, (q15_t)0x26c6, (q15_t)0x8604, + (q15_t)0x26c0, (q15_t)0x8602, (q15_t)0x26ba, (q15_t)0x8600, (q15_t)0x26b4, (q15_t)0x85fe, (q15_t)0x26ae, (q15_t)0x85fc, + (q15_t)0x26a8, (q15_t)0x85fb, (q15_t)0x26a2, (q15_t)0x85f9, (q15_t)0x269c, (q15_t)0x85f7, (q15_t)0x2696, (q15_t)0x85f5, + (q15_t)0x2690, (q15_t)0x85f3, (q15_t)0x268a, (q15_t)0x85f1, (q15_t)0x2684, (q15_t)0x85ef, (q15_t)0x267e, (q15_t)0x85ed, + (q15_t)0x2678, (q15_t)0x85eb, (q15_t)0x2672, (q15_t)0x85ea, (q15_t)0x266c, (q15_t)0x85e8, (q15_t)0x2666, (q15_t)0x85e6, + (q15_t)0x2660, (q15_t)0x85e4, (q15_t)0x265a, (q15_t)0x85e2, (q15_t)0x2654, (q15_t)0x85e0, (q15_t)0x264e, (q15_t)0x85de, + (q15_t)0x2648, (q15_t)0x85dc, (q15_t)0x2642, (q15_t)0x85da, (q15_t)0x263c, (q15_t)0x85d9, (q15_t)0x2636, (q15_t)0x85d7, + (q15_t)0x2630, (q15_t)0x85d5, (q15_t)0x262a, (q15_t)0x85d3, (q15_t)0x2624, (q15_t)0x85d1, (q15_t)0x261e, (q15_t)0x85cf, + (q15_t)0x2618, (q15_t)0x85cd, (q15_t)0x2612, (q15_t)0x85cb, (q15_t)0x260c, (q15_t)0x85ca, (q15_t)0x2606, (q15_t)0x85c8, + (q15_t)0x2600, (q15_t)0x85c6, (q15_t)0x25fa, (q15_t)0x85c4, (q15_t)0x25f4, (q15_t)0x85c2, (q15_t)0x25ee, (q15_t)0x85c0, + (q15_t)0x25e8, (q15_t)0x85be, (q15_t)0x25e2, (q15_t)0x85bd, (q15_t)0x25dc, (q15_t)0x85bb, (q15_t)0x25d6, (q15_t)0x85b9, + (q15_t)0x25d0, (q15_t)0x85b7, (q15_t)0x25ca, (q15_t)0x85b5, (q15_t)0x25c4, (q15_t)0x85b3, (q15_t)0x25be, (q15_t)0x85b1, + (q15_t)0x25b8, (q15_t)0x85b0, (q15_t)0x25b2, (q15_t)0x85ae, (q15_t)0x25ac, (q15_t)0x85ac, (q15_t)0x25a6, (q15_t)0x85aa, + (q15_t)0x25a0, (q15_t)0x85a8, (q15_t)0x259a, (q15_t)0x85a6, (q15_t)0x2594, (q15_t)0x85a4, (q15_t)0x258e, (q15_t)0x85a3, + (q15_t)0x2588, (q15_t)0x85a1, (q15_t)0x2582, (q15_t)0x859f, (q15_t)0x257c, (q15_t)0x859d, (q15_t)0x2576, (q15_t)0x859b, + (q15_t)0x2570, (q15_t)0x8599, (q15_t)0x256a, (q15_t)0x8598, (q15_t)0x2564, (q15_t)0x8596, (q15_t)0x255e, (q15_t)0x8594, + (q15_t)0x2558, (q15_t)0x8592, (q15_t)0x2552, (q15_t)0x8590, (q15_t)0x254c, (q15_t)0x858e, (q15_t)0x2546, (q15_t)0x858d, + (q15_t)0x2540, (q15_t)0x858b, (q15_t)0x253a, (q15_t)0x8589, (q15_t)0x2534, (q15_t)0x8587, (q15_t)0x252e, (q15_t)0x8585, + (q15_t)0x2528, (q15_t)0x8583, (q15_t)0x2522, (q15_t)0x8582, (q15_t)0x251c, (q15_t)0x8580, (q15_t)0x2516, (q15_t)0x857e, + (q15_t)0x250f, (q15_t)0x857c, (q15_t)0x2509, (q15_t)0x857a, (q15_t)0x2503, (q15_t)0x8579, (q15_t)0x24fd, (q15_t)0x8577, + (q15_t)0x24f7, (q15_t)0x8575, (q15_t)0x24f1, (q15_t)0x8573, (q15_t)0x24eb, (q15_t)0x8571, (q15_t)0x24e5, (q15_t)0x856f, + (q15_t)0x24df, (q15_t)0x856e, (q15_t)0x24d9, (q15_t)0x856c, (q15_t)0x24d3, (q15_t)0x856a, (q15_t)0x24cd, (q15_t)0x8568, + (q15_t)0x24c7, (q15_t)0x8566, (q15_t)0x24c1, (q15_t)0x8565, (q15_t)0x24bb, (q15_t)0x8563, (q15_t)0x24b5, (q15_t)0x8561, + (q15_t)0x24af, (q15_t)0x855f, (q15_t)0x24a9, (q15_t)0x855d, (q15_t)0x24a3, (q15_t)0x855c, (q15_t)0x249d, (q15_t)0x855a, + (q15_t)0x2497, (q15_t)0x8558, (q15_t)0x2491, (q15_t)0x8556, (q15_t)0x248b, (q15_t)0x8554, (q15_t)0x2485, (q15_t)0x8553, + (q15_t)0x247f, (q15_t)0x8551, (q15_t)0x2479, (q15_t)0x854f, (q15_t)0x2473, (q15_t)0x854d, (q15_t)0x246d, (q15_t)0x854b, + (q15_t)0x2467, (q15_t)0x854a, (q15_t)0x2461, (q15_t)0x8548, (q15_t)0x245b, (q15_t)0x8546, (q15_t)0x2455, (q15_t)0x8544, + (q15_t)0x244f, (q15_t)0x8543, (q15_t)0x2449, (q15_t)0x8541, (q15_t)0x2443, (q15_t)0x853f, (q15_t)0x243d, (q15_t)0x853d, + (q15_t)0x2437, (q15_t)0x853b, (q15_t)0x2431, (q15_t)0x853a, (q15_t)0x242b, (q15_t)0x8538, (q15_t)0x2425, (q15_t)0x8536, + (q15_t)0x241f, (q15_t)0x8534, (q15_t)0x2419, (q15_t)0x8533, (q15_t)0x2413, (q15_t)0x8531, (q15_t)0x240d, (q15_t)0x852f, + (q15_t)0x2407, (q15_t)0x852d, (q15_t)0x2401, (q15_t)0x852b, (q15_t)0x23fa, (q15_t)0x852a, (q15_t)0x23f4, (q15_t)0x8528, + (q15_t)0x23ee, (q15_t)0x8526, (q15_t)0x23e8, (q15_t)0x8524, (q15_t)0x23e2, (q15_t)0x8523, (q15_t)0x23dc, (q15_t)0x8521, + (q15_t)0x23d6, (q15_t)0x851f, (q15_t)0x23d0, (q15_t)0x851d, (q15_t)0x23ca, (q15_t)0x851c, (q15_t)0x23c4, (q15_t)0x851a, + (q15_t)0x23be, (q15_t)0x8518, (q15_t)0x23b8, (q15_t)0x8516, (q15_t)0x23b2, (q15_t)0x8515, (q15_t)0x23ac, (q15_t)0x8513, + (q15_t)0x23a6, (q15_t)0x8511, (q15_t)0x23a0, (q15_t)0x850f, (q15_t)0x239a, (q15_t)0x850e, (q15_t)0x2394, (q15_t)0x850c, + (q15_t)0x238e, (q15_t)0x850a, (q15_t)0x2388, (q15_t)0x8508, (q15_t)0x2382, (q15_t)0x8507, (q15_t)0x237c, (q15_t)0x8505, + (q15_t)0x2376, (q15_t)0x8503, (q15_t)0x2370, (q15_t)0x8501, (q15_t)0x236a, (q15_t)0x8500, (q15_t)0x2364, (q15_t)0x84fe, + (q15_t)0x235e, (q15_t)0x84fc, (q15_t)0x2358, (q15_t)0x84fa, (q15_t)0x2352, (q15_t)0x84f9, (q15_t)0x234b, (q15_t)0x84f7, + (q15_t)0x2345, (q15_t)0x84f5, (q15_t)0x233f, (q15_t)0x84f4, (q15_t)0x2339, (q15_t)0x84f2, (q15_t)0x2333, (q15_t)0x84f0, + (q15_t)0x232d, (q15_t)0x84ee, (q15_t)0x2327, (q15_t)0x84ed, (q15_t)0x2321, (q15_t)0x84eb, (q15_t)0x231b, (q15_t)0x84e9, + (q15_t)0x2315, (q15_t)0x84e7, (q15_t)0x230f, (q15_t)0x84e6, (q15_t)0x2309, (q15_t)0x84e4, (q15_t)0x2303, (q15_t)0x84e2, + (q15_t)0x22fd, (q15_t)0x84e1, (q15_t)0x22f7, (q15_t)0x84df, (q15_t)0x22f1, (q15_t)0x84dd, (q15_t)0x22eb, (q15_t)0x84db, + (q15_t)0x22e5, (q15_t)0x84da, (q15_t)0x22df, (q15_t)0x84d8, (q15_t)0x22d9, (q15_t)0x84d6, (q15_t)0x22d3, (q15_t)0x84d5, + (q15_t)0x22cd, (q15_t)0x84d3, (q15_t)0x22c7, (q15_t)0x84d1, (q15_t)0x22c0, (q15_t)0x84cf, (q15_t)0x22ba, (q15_t)0x84ce, + (q15_t)0x22b4, (q15_t)0x84cc, (q15_t)0x22ae, (q15_t)0x84ca, (q15_t)0x22a8, (q15_t)0x84c9, (q15_t)0x22a2, (q15_t)0x84c7, + (q15_t)0x229c, (q15_t)0x84c5, (q15_t)0x2296, (q15_t)0x84c4, (q15_t)0x2290, (q15_t)0x84c2, (q15_t)0x228a, (q15_t)0x84c0, + (q15_t)0x2284, (q15_t)0x84be, (q15_t)0x227e, (q15_t)0x84bd, (q15_t)0x2278, (q15_t)0x84bb, (q15_t)0x2272, (q15_t)0x84b9, + (q15_t)0x226c, (q15_t)0x84b8, (q15_t)0x2266, (q15_t)0x84b6, (q15_t)0x2260, (q15_t)0x84b4, (q15_t)0x225a, (q15_t)0x84b3, + (q15_t)0x2254, (q15_t)0x84b1, (q15_t)0x224e, (q15_t)0x84af, (q15_t)0x2247, (q15_t)0x84ae, (q15_t)0x2241, (q15_t)0x84ac, + (q15_t)0x223b, (q15_t)0x84aa, (q15_t)0x2235, (q15_t)0x84a9, (q15_t)0x222f, (q15_t)0x84a7, (q15_t)0x2229, (q15_t)0x84a5, + (q15_t)0x2223, (q15_t)0x84a3, (q15_t)0x221d, (q15_t)0x84a2, (q15_t)0x2217, (q15_t)0x84a0, (q15_t)0x2211, (q15_t)0x849e, + (q15_t)0x220b, (q15_t)0x849d, (q15_t)0x2205, (q15_t)0x849b, (q15_t)0x21ff, (q15_t)0x8499, (q15_t)0x21f9, (q15_t)0x8498, + (q15_t)0x21f3, (q15_t)0x8496, (q15_t)0x21ed, (q15_t)0x8494, (q15_t)0x21e7, (q15_t)0x8493, (q15_t)0x21e1, (q15_t)0x8491, + (q15_t)0x21da, (q15_t)0x848f, (q15_t)0x21d4, (q15_t)0x848e, (q15_t)0x21ce, (q15_t)0x848c, (q15_t)0x21c8, (q15_t)0x848a, + (q15_t)0x21c2, (q15_t)0x8489, (q15_t)0x21bc, (q15_t)0x8487, (q15_t)0x21b6, (q15_t)0x8486, (q15_t)0x21b0, (q15_t)0x8484, + (q15_t)0x21aa, (q15_t)0x8482, (q15_t)0x21a4, (q15_t)0x8481, (q15_t)0x219e, (q15_t)0x847f, (q15_t)0x2198, (q15_t)0x847d, + (q15_t)0x2192, (q15_t)0x847c, (q15_t)0x218c, (q15_t)0x847a, (q15_t)0x2186, (q15_t)0x8478, (q15_t)0x2180, (q15_t)0x8477, + (q15_t)0x2179, (q15_t)0x8475, (q15_t)0x2173, (q15_t)0x8473, (q15_t)0x216d, (q15_t)0x8472, (q15_t)0x2167, (q15_t)0x8470, + (q15_t)0x2161, (q15_t)0x846e, (q15_t)0x215b, (q15_t)0x846d, (q15_t)0x2155, (q15_t)0x846b, (q15_t)0x214f, (q15_t)0x846a, + (q15_t)0x2149, (q15_t)0x8468, (q15_t)0x2143, (q15_t)0x8466, (q15_t)0x213d, (q15_t)0x8465, (q15_t)0x2137, (q15_t)0x8463, + (q15_t)0x2131, (q15_t)0x8461, (q15_t)0x212b, (q15_t)0x8460, (q15_t)0x2125, (q15_t)0x845e, (q15_t)0x211e, (q15_t)0x845d, + (q15_t)0x2118, (q15_t)0x845b, (q15_t)0x2112, (q15_t)0x8459, (q15_t)0x210c, (q15_t)0x8458, (q15_t)0x2106, (q15_t)0x8456, + (q15_t)0x2100, (q15_t)0x8454, (q15_t)0x20fa, (q15_t)0x8453, (q15_t)0x20f4, (q15_t)0x8451, (q15_t)0x20ee, (q15_t)0x8450, + (q15_t)0x20e8, (q15_t)0x844e, (q15_t)0x20e2, (q15_t)0x844c, (q15_t)0x20dc, (q15_t)0x844b, (q15_t)0x20d6, (q15_t)0x8449, + (q15_t)0x20d0, (q15_t)0x8447, (q15_t)0x20c9, (q15_t)0x8446, (q15_t)0x20c3, (q15_t)0x8444, (q15_t)0x20bd, (q15_t)0x8443, + (q15_t)0x20b7, (q15_t)0x8441, (q15_t)0x20b1, (q15_t)0x843f, (q15_t)0x20ab, (q15_t)0x843e, (q15_t)0x20a5, (q15_t)0x843c, + (q15_t)0x209f, (q15_t)0x843b, (q15_t)0x2099, (q15_t)0x8439, (q15_t)0x2093, (q15_t)0x8437, (q15_t)0x208d, (q15_t)0x8436, + (q15_t)0x2087, (q15_t)0x8434, (q15_t)0x2081, (q15_t)0x8433, (q15_t)0x207a, (q15_t)0x8431, (q15_t)0x2074, (q15_t)0x842f, + (q15_t)0x206e, (q15_t)0x842e, (q15_t)0x2068, (q15_t)0x842c, (q15_t)0x2062, (q15_t)0x842b, (q15_t)0x205c, (q15_t)0x8429, + (q15_t)0x2056, (q15_t)0x8427, (q15_t)0x2050, (q15_t)0x8426, (q15_t)0x204a, (q15_t)0x8424, (q15_t)0x2044, (q15_t)0x8423, + (q15_t)0x203e, (q15_t)0x8421, (q15_t)0x2038, (q15_t)0x8420, (q15_t)0x2032, (q15_t)0x841e, (q15_t)0x202b, (q15_t)0x841c, + (q15_t)0x2025, (q15_t)0x841b, (q15_t)0x201f, (q15_t)0x8419, (q15_t)0x2019, (q15_t)0x8418, (q15_t)0x2013, (q15_t)0x8416, + (q15_t)0x200d, (q15_t)0x8415, (q15_t)0x2007, (q15_t)0x8413, (q15_t)0x2001, (q15_t)0x8411, (q15_t)0x1ffb, (q15_t)0x8410, + (q15_t)0x1ff5, (q15_t)0x840e, (q15_t)0x1fef, (q15_t)0x840d, (q15_t)0x1fe9, (q15_t)0x840b, (q15_t)0x1fe2, (q15_t)0x840a, + (q15_t)0x1fdc, (q15_t)0x8408, (q15_t)0x1fd6, (q15_t)0x8406, (q15_t)0x1fd0, (q15_t)0x8405, (q15_t)0x1fca, (q15_t)0x8403, + (q15_t)0x1fc4, (q15_t)0x8402, (q15_t)0x1fbe, (q15_t)0x8400, (q15_t)0x1fb8, (q15_t)0x83ff, (q15_t)0x1fb2, (q15_t)0x83fd, + (q15_t)0x1fac, (q15_t)0x83fb, (q15_t)0x1fa6, (q15_t)0x83fa, (q15_t)0x1f9f, (q15_t)0x83f8, (q15_t)0x1f99, (q15_t)0x83f7, + (q15_t)0x1f93, (q15_t)0x83f5, (q15_t)0x1f8d, (q15_t)0x83f4, (q15_t)0x1f87, (q15_t)0x83f2, (q15_t)0x1f81, (q15_t)0x83f1, + (q15_t)0x1f7b, (q15_t)0x83ef, (q15_t)0x1f75, (q15_t)0x83ee, (q15_t)0x1f6f, (q15_t)0x83ec, (q15_t)0x1f69, (q15_t)0x83ea, + (q15_t)0x1f63, (q15_t)0x83e9, (q15_t)0x1f5d, (q15_t)0x83e7, (q15_t)0x1f56, (q15_t)0x83e6, (q15_t)0x1f50, (q15_t)0x83e4, + (q15_t)0x1f4a, (q15_t)0x83e3, (q15_t)0x1f44, (q15_t)0x83e1, (q15_t)0x1f3e, (q15_t)0x83e0, (q15_t)0x1f38, (q15_t)0x83de, + (q15_t)0x1f32, (q15_t)0x83dd, (q15_t)0x1f2c, (q15_t)0x83db, (q15_t)0x1f26, (q15_t)0x83da, (q15_t)0x1f20, (q15_t)0x83d8, + (q15_t)0x1f19, (q15_t)0x83d7, (q15_t)0x1f13, (q15_t)0x83d5, (q15_t)0x1f0d, (q15_t)0x83d3, (q15_t)0x1f07, (q15_t)0x83d2, + (q15_t)0x1f01, (q15_t)0x83d0, (q15_t)0x1efb, (q15_t)0x83cf, (q15_t)0x1ef5, (q15_t)0x83cd, (q15_t)0x1eef, (q15_t)0x83cc, + (q15_t)0x1ee9, (q15_t)0x83ca, (q15_t)0x1ee3, (q15_t)0x83c9, (q15_t)0x1edd, (q15_t)0x83c7, (q15_t)0x1ed6, (q15_t)0x83c6, + (q15_t)0x1ed0, (q15_t)0x83c4, (q15_t)0x1eca, (q15_t)0x83c3, (q15_t)0x1ec4, (q15_t)0x83c1, (q15_t)0x1ebe, (q15_t)0x83c0, + (q15_t)0x1eb8, (q15_t)0x83be, (q15_t)0x1eb2, (q15_t)0x83bd, (q15_t)0x1eac, (q15_t)0x83bb, (q15_t)0x1ea6, (q15_t)0x83ba, + (q15_t)0x1ea0, (q15_t)0x83b8, (q15_t)0x1e99, (q15_t)0x83b7, (q15_t)0x1e93, (q15_t)0x83b5, (q15_t)0x1e8d, (q15_t)0x83b4, + (q15_t)0x1e87, (q15_t)0x83b2, (q15_t)0x1e81, (q15_t)0x83b1, (q15_t)0x1e7b, (q15_t)0x83af, (q15_t)0x1e75, (q15_t)0x83ae, + (q15_t)0x1e6f, (q15_t)0x83ac, (q15_t)0x1e69, (q15_t)0x83ab, (q15_t)0x1e62, (q15_t)0x83a9, (q15_t)0x1e5c, (q15_t)0x83a8, + (q15_t)0x1e56, (q15_t)0x83a6, (q15_t)0x1e50, (q15_t)0x83a5, (q15_t)0x1e4a, (q15_t)0x83a3, (q15_t)0x1e44, (q15_t)0x83a2, + (q15_t)0x1e3e, (q15_t)0x83a0, (q15_t)0x1e38, (q15_t)0x839f, (q15_t)0x1e32, (q15_t)0x839d, (q15_t)0x1e2c, (q15_t)0x839c, + (q15_t)0x1e25, (q15_t)0x839a, (q15_t)0x1e1f, (q15_t)0x8399, (q15_t)0x1e19, (q15_t)0x8397, (q15_t)0x1e13, (q15_t)0x8396, + (q15_t)0x1e0d, (q15_t)0x8394, (q15_t)0x1e07, (q15_t)0x8393, (q15_t)0x1e01, (q15_t)0x8392, (q15_t)0x1dfb, (q15_t)0x8390, + (q15_t)0x1df5, (q15_t)0x838f, (q15_t)0x1dee, (q15_t)0x838d, (q15_t)0x1de8, (q15_t)0x838c, (q15_t)0x1de2, (q15_t)0x838a, + (q15_t)0x1ddc, (q15_t)0x8389, (q15_t)0x1dd6, (q15_t)0x8387, (q15_t)0x1dd0, (q15_t)0x8386, (q15_t)0x1dca, (q15_t)0x8384, + (q15_t)0x1dc4, (q15_t)0x8383, (q15_t)0x1dbe, (q15_t)0x8381, (q15_t)0x1db7, (q15_t)0x8380, (q15_t)0x1db1, (q15_t)0x837e, + (q15_t)0x1dab, (q15_t)0x837d, (q15_t)0x1da5, (q15_t)0x837c, (q15_t)0x1d9f, (q15_t)0x837a, (q15_t)0x1d99, (q15_t)0x8379, + (q15_t)0x1d93, (q15_t)0x8377, (q15_t)0x1d8d, (q15_t)0x8376, (q15_t)0x1d87, (q15_t)0x8374, (q15_t)0x1d80, (q15_t)0x8373, + (q15_t)0x1d7a, (q15_t)0x8371, (q15_t)0x1d74, (q15_t)0x8370, (q15_t)0x1d6e, (q15_t)0x836f, (q15_t)0x1d68, (q15_t)0x836d, + (q15_t)0x1d62, (q15_t)0x836c, (q15_t)0x1d5c, (q15_t)0x836a, (q15_t)0x1d56, (q15_t)0x8369, (q15_t)0x1d50, (q15_t)0x8367, + (q15_t)0x1d49, (q15_t)0x8366, (q15_t)0x1d43, (q15_t)0x8364, (q15_t)0x1d3d, (q15_t)0x8363, (q15_t)0x1d37, (q15_t)0x8362, + (q15_t)0x1d31, (q15_t)0x8360, (q15_t)0x1d2b, (q15_t)0x835f, (q15_t)0x1d25, (q15_t)0x835d, (q15_t)0x1d1f, (q15_t)0x835c, + (q15_t)0x1d18, (q15_t)0x835a, (q15_t)0x1d12, (q15_t)0x8359, (q15_t)0x1d0c, (q15_t)0x8358, (q15_t)0x1d06, (q15_t)0x8356, + (q15_t)0x1d00, (q15_t)0x8355, (q15_t)0x1cfa, (q15_t)0x8353, (q15_t)0x1cf4, (q15_t)0x8352, (q15_t)0x1cee, (q15_t)0x8350, + (q15_t)0x1ce8, (q15_t)0x834f, (q15_t)0x1ce1, (q15_t)0x834e, (q15_t)0x1cdb, (q15_t)0x834c, (q15_t)0x1cd5, (q15_t)0x834b, + (q15_t)0x1ccf, (q15_t)0x8349, (q15_t)0x1cc9, (q15_t)0x8348, (q15_t)0x1cc3, (q15_t)0x8347, (q15_t)0x1cbd, (q15_t)0x8345, + (q15_t)0x1cb7, (q15_t)0x8344, (q15_t)0x1cb0, (q15_t)0x8342, (q15_t)0x1caa, (q15_t)0x8341, (q15_t)0x1ca4, (q15_t)0x833f, + (q15_t)0x1c9e, (q15_t)0x833e, (q15_t)0x1c98, (q15_t)0x833d, (q15_t)0x1c92, (q15_t)0x833b, (q15_t)0x1c8c, (q15_t)0x833a, + (q15_t)0x1c86, (q15_t)0x8338, (q15_t)0x1c7f, (q15_t)0x8337, (q15_t)0x1c79, (q15_t)0x8336, (q15_t)0x1c73, (q15_t)0x8334, + (q15_t)0x1c6d, (q15_t)0x8333, (q15_t)0x1c67, (q15_t)0x8331, (q15_t)0x1c61, (q15_t)0x8330, (q15_t)0x1c5b, (q15_t)0x832f, + (q15_t)0x1c55, (q15_t)0x832d, (q15_t)0x1c4e, (q15_t)0x832c, (q15_t)0x1c48, (q15_t)0x832b, (q15_t)0x1c42, (q15_t)0x8329, + (q15_t)0x1c3c, (q15_t)0x8328, (q15_t)0x1c36, (q15_t)0x8326, (q15_t)0x1c30, (q15_t)0x8325, (q15_t)0x1c2a, (q15_t)0x8324, + (q15_t)0x1c24, (q15_t)0x8322, (q15_t)0x1c1d, (q15_t)0x8321, (q15_t)0x1c17, (q15_t)0x831f, (q15_t)0x1c11, (q15_t)0x831e, + (q15_t)0x1c0b, (q15_t)0x831d, (q15_t)0x1c05, (q15_t)0x831b, (q15_t)0x1bff, (q15_t)0x831a, (q15_t)0x1bf9, (q15_t)0x8319, + (q15_t)0x1bf2, (q15_t)0x8317, (q15_t)0x1bec, (q15_t)0x8316, (q15_t)0x1be6, (q15_t)0x8314, (q15_t)0x1be0, (q15_t)0x8313, + (q15_t)0x1bda, (q15_t)0x8312, (q15_t)0x1bd4, (q15_t)0x8310, (q15_t)0x1bce, (q15_t)0x830f, (q15_t)0x1bc8, (q15_t)0x830e, + (q15_t)0x1bc1, (q15_t)0x830c, (q15_t)0x1bbb, (q15_t)0x830b, (q15_t)0x1bb5, (q15_t)0x830a, (q15_t)0x1baf, (q15_t)0x8308, + (q15_t)0x1ba9, (q15_t)0x8307, (q15_t)0x1ba3, (q15_t)0x8305, (q15_t)0x1b9d, (q15_t)0x8304, (q15_t)0x1b96, (q15_t)0x8303, + (q15_t)0x1b90, (q15_t)0x8301, (q15_t)0x1b8a, (q15_t)0x8300, (q15_t)0x1b84, (q15_t)0x82ff, (q15_t)0x1b7e, (q15_t)0x82fd, + (q15_t)0x1b78, (q15_t)0x82fc, (q15_t)0x1b72, (q15_t)0x82fb, (q15_t)0x1b6c, (q15_t)0x82f9, (q15_t)0x1b65, (q15_t)0x82f8, + (q15_t)0x1b5f, (q15_t)0x82f7, (q15_t)0x1b59, (q15_t)0x82f5, (q15_t)0x1b53, (q15_t)0x82f4, (q15_t)0x1b4d, (q15_t)0x82f3, + (q15_t)0x1b47, (q15_t)0x82f1, (q15_t)0x1b41, (q15_t)0x82f0, (q15_t)0x1b3a, (q15_t)0x82ef, (q15_t)0x1b34, (q15_t)0x82ed, + (q15_t)0x1b2e, (q15_t)0x82ec, (q15_t)0x1b28, (q15_t)0x82eb, (q15_t)0x1b22, (q15_t)0x82e9, (q15_t)0x1b1c, (q15_t)0x82e8, + (q15_t)0x1b16, (q15_t)0x82e7, (q15_t)0x1b0f, (q15_t)0x82e5, (q15_t)0x1b09, (q15_t)0x82e4, (q15_t)0x1b03, (q15_t)0x82e3, + (q15_t)0x1afd, (q15_t)0x82e1, (q15_t)0x1af7, (q15_t)0x82e0, (q15_t)0x1af1, (q15_t)0x82df, (q15_t)0x1aeb, (q15_t)0x82dd, + (q15_t)0x1ae4, (q15_t)0x82dc, (q15_t)0x1ade, (q15_t)0x82db, (q15_t)0x1ad8, (q15_t)0x82d9, (q15_t)0x1ad2, (q15_t)0x82d8, + (q15_t)0x1acc, (q15_t)0x82d7, (q15_t)0x1ac6, (q15_t)0x82d5, (q15_t)0x1ac0, (q15_t)0x82d4, (q15_t)0x1ab9, (q15_t)0x82d3, + (q15_t)0x1ab3, (q15_t)0x82d1, (q15_t)0x1aad, (q15_t)0x82d0, (q15_t)0x1aa7, (q15_t)0x82cf, (q15_t)0x1aa1, (q15_t)0x82ce, + (q15_t)0x1a9b, (q15_t)0x82cc, (q15_t)0x1a95, (q15_t)0x82cb, (q15_t)0x1a8e, (q15_t)0x82ca, (q15_t)0x1a88, (q15_t)0x82c8, + (q15_t)0x1a82, (q15_t)0x82c7, (q15_t)0x1a7c, (q15_t)0x82c6, (q15_t)0x1a76, (q15_t)0x82c4, (q15_t)0x1a70, (q15_t)0x82c3, + (q15_t)0x1a6a, (q15_t)0x82c2, (q15_t)0x1a63, (q15_t)0x82c1, (q15_t)0x1a5d, (q15_t)0x82bf, (q15_t)0x1a57, (q15_t)0x82be, + (q15_t)0x1a51, (q15_t)0x82bd, (q15_t)0x1a4b, (q15_t)0x82bb, (q15_t)0x1a45, (q15_t)0x82ba, (q15_t)0x1a3e, (q15_t)0x82b9, + (q15_t)0x1a38, (q15_t)0x82b7, (q15_t)0x1a32, (q15_t)0x82b6, (q15_t)0x1a2c, (q15_t)0x82b5, (q15_t)0x1a26, (q15_t)0x82b4, + (q15_t)0x1a20, (q15_t)0x82b2, (q15_t)0x1a1a, (q15_t)0x82b1, (q15_t)0x1a13, (q15_t)0x82b0, (q15_t)0x1a0d, (q15_t)0x82ae, + (q15_t)0x1a07, (q15_t)0x82ad, (q15_t)0x1a01, (q15_t)0x82ac, (q15_t)0x19fb, (q15_t)0x82ab, (q15_t)0x19f5, (q15_t)0x82a9, + (q15_t)0x19ef, (q15_t)0x82a8, (q15_t)0x19e8, (q15_t)0x82a7, (q15_t)0x19e2, (q15_t)0x82a6, (q15_t)0x19dc, (q15_t)0x82a4, + (q15_t)0x19d6, (q15_t)0x82a3, (q15_t)0x19d0, (q15_t)0x82a2, (q15_t)0x19ca, (q15_t)0x82a0, (q15_t)0x19c3, (q15_t)0x829f, + (q15_t)0x19bd, (q15_t)0x829e, (q15_t)0x19b7, (q15_t)0x829d, (q15_t)0x19b1, (q15_t)0x829b, (q15_t)0x19ab, (q15_t)0x829a, + (q15_t)0x19a5, (q15_t)0x8299, (q15_t)0x199f, (q15_t)0x8298, (q15_t)0x1998, (q15_t)0x8296, (q15_t)0x1992, (q15_t)0x8295, + (q15_t)0x198c, (q15_t)0x8294, (q15_t)0x1986, (q15_t)0x8293, (q15_t)0x1980, (q15_t)0x8291, (q15_t)0x197a, (q15_t)0x8290, + (q15_t)0x1973, (q15_t)0x828f, (q15_t)0x196d, (q15_t)0x828e, (q15_t)0x1967, (q15_t)0x828c, (q15_t)0x1961, (q15_t)0x828b, + (q15_t)0x195b, (q15_t)0x828a, (q15_t)0x1955, (q15_t)0x8289, (q15_t)0x194e, (q15_t)0x8287, (q15_t)0x1948, (q15_t)0x8286, + (q15_t)0x1942, (q15_t)0x8285, (q15_t)0x193c, (q15_t)0x8284, (q15_t)0x1936, (q15_t)0x8282, (q15_t)0x1930, (q15_t)0x8281, + (q15_t)0x192a, (q15_t)0x8280, (q15_t)0x1923, (q15_t)0x827f, (q15_t)0x191d, (q15_t)0x827e, (q15_t)0x1917, (q15_t)0x827c, + (q15_t)0x1911, (q15_t)0x827b, (q15_t)0x190b, (q15_t)0x827a, (q15_t)0x1905, (q15_t)0x8279, (q15_t)0x18fe, (q15_t)0x8277, + (q15_t)0x18f8, (q15_t)0x8276, (q15_t)0x18f2, (q15_t)0x8275, (q15_t)0x18ec, (q15_t)0x8274, (q15_t)0x18e6, (q15_t)0x8272, + (q15_t)0x18e0, (q15_t)0x8271, (q15_t)0x18d9, (q15_t)0x8270, (q15_t)0x18d3, (q15_t)0x826f, (q15_t)0x18cd, (q15_t)0x826e, + (q15_t)0x18c7, (q15_t)0x826c, (q15_t)0x18c1, (q15_t)0x826b, (q15_t)0x18bb, (q15_t)0x826a, (q15_t)0x18b4, (q15_t)0x8269, + (q15_t)0x18ae, (q15_t)0x8268, (q15_t)0x18a8, (q15_t)0x8266, (q15_t)0x18a2, (q15_t)0x8265, (q15_t)0x189c, (q15_t)0x8264, + (q15_t)0x1896, (q15_t)0x8263, (q15_t)0x188f, (q15_t)0x8261, (q15_t)0x1889, (q15_t)0x8260, (q15_t)0x1883, (q15_t)0x825f, + (q15_t)0x187d, (q15_t)0x825e, (q15_t)0x1877, (q15_t)0x825d, (q15_t)0x1871, (q15_t)0x825b, (q15_t)0x186a, (q15_t)0x825a, + (q15_t)0x1864, (q15_t)0x8259, (q15_t)0x185e, (q15_t)0x8258, (q15_t)0x1858, (q15_t)0x8257, (q15_t)0x1852, (q15_t)0x8255, + (q15_t)0x184c, (q15_t)0x8254, (q15_t)0x1845, (q15_t)0x8253, (q15_t)0x183f, (q15_t)0x8252, (q15_t)0x1839, (q15_t)0x8251, + (q15_t)0x1833, (q15_t)0x8250, (q15_t)0x182d, (q15_t)0x824e, (q15_t)0x1827, (q15_t)0x824d, (q15_t)0x1820, (q15_t)0x824c, + (q15_t)0x181a, (q15_t)0x824b, (q15_t)0x1814, (q15_t)0x824a, (q15_t)0x180e, (q15_t)0x8248, (q15_t)0x1808, (q15_t)0x8247, + (q15_t)0x1802, (q15_t)0x8246, (q15_t)0x17fb, (q15_t)0x8245, (q15_t)0x17f5, (q15_t)0x8244, (q15_t)0x17ef, (q15_t)0x8243, + (q15_t)0x17e9, (q15_t)0x8241, (q15_t)0x17e3, (q15_t)0x8240, (q15_t)0x17dd, (q15_t)0x823f, (q15_t)0x17d6, (q15_t)0x823e, + (q15_t)0x17d0, (q15_t)0x823d, (q15_t)0x17ca, (q15_t)0x823b, (q15_t)0x17c4, (q15_t)0x823a, (q15_t)0x17be, (q15_t)0x8239, + (q15_t)0x17b7, (q15_t)0x8238, (q15_t)0x17b1, (q15_t)0x8237, (q15_t)0x17ab, (q15_t)0x8236, (q15_t)0x17a5, (q15_t)0x8234, + (q15_t)0x179f, (q15_t)0x8233, (q15_t)0x1799, (q15_t)0x8232, (q15_t)0x1792, (q15_t)0x8231, (q15_t)0x178c, (q15_t)0x8230, + (q15_t)0x1786, (q15_t)0x822f, (q15_t)0x1780, (q15_t)0x822e, (q15_t)0x177a, (q15_t)0x822c, (q15_t)0x1774, (q15_t)0x822b, + (q15_t)0x176d, (q15_t)0x822a, (q15_t)0x1767, (q15_t)0x8229, (q15_t)0x1761, (q15_t)0x8228, (q15_t)0x175b, (q15_t)0x8227, + (q15_t)0x1755, (q15_t)0x8226, (q15_t)0x174e, (q15_t)0x8224, (q15_t)0x1748, (q15_t)0x8223, (q15_t)0x1742, (q15_t)0x8222, + (q15_t)0x173c, (q15_t)0x8221, (q15_t)0x1736, (q15_t)0x8220, (q15_t)0x1730, (q15_t)0x821f, (q15_t)0x1729, (q15_t)0x821e, + (q15_t)0x1723, (q15_t)0x821c, (q15_t)0x171d, (q15_t)0x821b, (q15_t)0x1717, (q15_t)0x821a, (q15_t)0x1711, (q15_t)0x8219, + (q15_t)0x170a, (q15_t)0x8218, (q15_t)0x1704, (q15_t)0x8217, (q15_t)0x16fe, (q15_t)0x8216, (q15_t)0x16f8, (q15_t)0x8214, + (q15_t)0x16f2, (q15_t)0x8213, (q15_t)0x16ec, (q15_t)0x8212, (q15_t)0x16e5, (q15_t)0x8211, (q15_t)0x16df, (q15_t)0x8210, + (q15_t)0x16d9, (q15_t)0x820f, (q15_t)0x16d3, (q15_t)0x820e, (q15_t)0x16cd, (q15_t)0x820d, (q15_t)0x16c6, (q15_t)0x820b, + (q15_t)0x16c0, (q15_t)0x820a, (q15_t)0x16ba, (q15_t)0x8209, (q15_t)0x16b4, (q15_t)0x8208, (q15_t)0x16ae, (q15_t)0x8207, + (q15_t)0x16a8, (q15_t)0x8206, (q15_t)0x16a1, (q15_t)0x8205, (q15_t)0x169b, (q15_t)0x8204, (q15_t)0x1695, (q15_t)0x8203, + (q15_t)0x168f, (q15_t)0x8201, (q15_t)0x1689, (q15_t)0x8200, (q15_t)0x1682, (q15_t)0x81ff, (q15_t)0x167c, (q15_t)0x81fe, + (q15_t)0x1676, (q15_t)0x81fd, (q15_t)0x1670, (q15_t)0x81fc, (q15_t)0x166a, (q15_t)0x81fb, (q15_t)0x1664, (q15_t)0x81fa, + (q15_t)0x165d, (q15_t)0x81f9, (q15_t)0x1657, (q15_t)0x81f8, (q15_t)0x1651, (q15_t)0x81f6, (q15_t)0x164b, (q15_t)0x81f5, + (q15_t)0x1645, (q15_t)0x81f4, (q15_t)0x163e, (q15_t)0x81f3, (q15_t)0x1638, (q15_t)0x81f2, (q15_t)0x1632, (q15_t)0x81f1, + (q15_t)0x162c, (q15_t)0x81f0, (q15_t)0x1626, (q15_t)0x81ef, (q15_t)0x161f, (q15_t)0x81ee, (q15_t)0x1619, (q15_t)0x81ed, + (q15_t)0x1613, (q15_t)0x81ec, (q15_t)0x160d, (q15_t)0x81ea, (q15_t)0x1607, (q15_t)0x81e9, (q15_t)0x1601, (q15_t)0x81e8, + (q15_t)0x15fa, (q15_t)0x81e7, (q15_t)0x15f4, (q15_t)0x81e6, (q15_t)0x15ee, (q15_t)0x81e5, (q15_t)0x15e8, (q15_t)0x81e4, + (q15_t)0x15e2, (q15_t)0x81e3, (q15_t)0x15db, (q15_t)0x81e2, (q15_t)0x15d5, (q15_t)0x81e1, (q15_t)0x15cf, (q15_t)0x81e0, + (q15_t)0x15c9, (q15_t)0x81df, (q15_t)0x15c3, (q15_t)0x81de, (q15_t)0x15bc, (q15_t)0x81dc, (q15_t)0x15b6, (q15_t)0x81db, + (q15_t)0x15b0, (q15_t)0x81da, (q15_t)0x15aa, (q15_t)0x81d9, (q15_t)0x15a4, (q15_t)0x81d8, (q15_t)0x159d, (q15_t)0x81d7, + (q15_t)0x1597, (q15_t)0x81d6, (q15_t)0x1591, (q15_t)0x81d5, (q15_t)0x158b, (q15_t)0x81d4, (q15_t)0x1585, (q15_t)0x81d3, + (q15_t)0x157f, (q15_t)0x81d2, (q15_t)0x1578, (q15_t)0x81d1, (q15_t)0x1572, (q15_t)0x81d0, (q15_t)0x156c, (q15_t)0x81cf, + (q15_t)0x1566, (q15_t)0x81ce, (q15_t)0x1560, (q15_t)0x81cd, (q15_t)0x1559, (q15_t)0x81cc, (q15_t)0x1553, (q15_t)0x81cb, + (q15_t)0x154d, (q15_t)0x81c9, (q15_t)0x1547, (q15_t)0x81c8, (q15_t)0x1541, (q15_t)0x81c7, (q15_t)0x153a, (q15_t)0x81c6, + (q15_t)0x1534, (q15_t)0x81c5, (q15_t)0x152e, (q15_t)0x81c4, (q15_t)0x1528, (q15_t)0x81c3, (q15_t)0x1522, (q15_t)0x81c2, + (q15_t)0x151b, (q15_t)0x81c1, (q15_t)0x1515, (q15_t)0x81c0, (q15_t)0x150f, (q15_t)0x81bf, (q15_t)0x1509, (q15_t)0x81be, + (q15_t)0x1503, (q15_t)0x81bd, (q15_t)0x14fc, (q15_t)0x81bc, (q15_t)0x14f6, (q15_t)0x81bb, (q15_t)0x14f0, (q15_t)0x81ba, + (q15_t)0x14ea, (q15_t)0x81b9, (q15_t)0x14e4, (q15_t)0x81b8, (q15_t)0x14dd, (q15_t)0x81b7, (q15_t)0x14d7, (q15_t)0x81b6, + (q15_t)0x14d1, (q15_t)0x81b5, (q15_t)0x14cb, (q15_t)0x81b4, (q15_t)0x14c5, (q15_t)0x81b3, (q15_t)0x14be, (q15_t)0x81b2, + (q15_t)0x14b8, (q15_t)0x81b1, (q15_t)0x14b2, (q15_t)0x81b0, (q15_t)0x14ac, (q15_t)0x81af, (q15_t)0x14a6, (q15_t)0x81ae, + (q15_t)0x149f, (q15_t)0x81ad, (q15_t)0x1499, (q15_t)0x81ac, (q15_t)0x1493, (q15_t)0x81ab, (q15_t)0x148d, (q15_t)0x81aa, + (q15_t)0x1487, (q15_t)0x81a9, (q15_t)0x1480, (q15_t)0x81a8, (q15_t)0x147a, (q15_t)0x81a7, (q15_t)0x1474, (q15_t)0x81a6, + (q15_t)0x146e, (q15_t)0x81a5, (q15_t)0x1468, (q15_t)0x81a4, (q15_t)0x1461, (q15_t)0x81a3, (q15_t)0x145b, (q15_t)0x81a2, + (q15_t)0x1455, (q15_t)0x81a1, (q15_t)0x144f, (q15_t)0x81a0, (q15_t)0x1449, (q15_t)0x819f, (q15_t)0x1442, (q15_t)0x819e, + (q15_t)0x143c, (q15_t)0x819d, (q15_t)0x1436, (q15_t)0x819c, (q15_t)0x1430, (q15_t)0x819b, (q15_t)0x142a, (q15_t)0x819a, + (q15_t)0x1423, (q15_t)0x8199, (q15_t)0x141d, (q15_t)0x8198, (q15_t)0x1417, (q15_t)0x8197, (q15_t)0x1411, (q15_t)0x8196, + (q15_t)0x140b, (q15_t)0x8195, (q15_t)0x1404, (q15_t)0x8194, (q15_t)0x13fe, (q15_t)0x8193, (q15_t)0x13f8, (q15_t)0x8192, + (q15_t)0x13f2, (q15_t)0x8191, (q15_t)0x13eb, (q15_t)0x8190, (q15_t)0x13e5, (q15_t)0x818f, (q15_t)0x13df, (q15_t)0x818e, + (q15_t)0x13d9, (q15_t)0x818d, (q15_t)0x13d3, (q15_t)0x818c, (q15_t)0x13cc, (q15_t)0x818b, (q15_t)0x13c6, (q15_t)0x818a, + (q15_t)0x13c0, (q15_t)0x8189, (q15_t)0x13ba, (q15_t)0x8188, (q15_t)0x13b4, (q15_t)0x8187, (q15_t)0x13ad, (q15_t)0x8186, + (q15_t)0x13a7, (q15_t)0x8185, (q15_t)0x13a1, (q15_t)0x8184, (q15_t)0x139b, (q15_t)0x8183, (q15_t)0x1395, (q15_t)0x8182, + (q15_t)0x138e, (q15_t)0x8181, (q15_t)0x1388, (q15_t)0x8180, (q15_t)0x1382, (q15_t)0x817f, (q15_t)0x137c, (q15_t)0x817e, + (q15_t)0x1376, (q15_t)0x817d, (q15_t)0x136f, (q15_t)0x817c, (q15_t)0x1369, (q15_t)0x817c, (q15_t)0x1363, (q15_t)0x817b, + (q15_t)0x135d, (q15_t)0x817a, (q15_t)0x1356, (q15_t)0x8179, (q15_t)0x1350, (q15_t)0x8178, (q15_t)0x134a, (q15_t)0x8177, + (q15_t)0x1344, (q15_t)0x8176, (q15_t)0x133e, (q15_t)0x8175, (q15_t)0x1337, (q15_t)0x8174, (q15_t)0x1331, (q15_t)0x8173, + (q15_t)0x132b, (q15_t)0x8172, (q15_t)0x1325, (q15_t)0x8171, (q15_t)0x131f, (q15_t)0x8170, (q15_t)0x1318, (q15_t)0x816f, + (q15_t)0x1312, (q15_t)0x816e, (q15_t)0x130c, (q15_t)0x816d, (q15_t)0x1306, (q15_t)0x816c, (q15_t)0x12ff, (q15_t)0x816c, + (q15_t)0x12f9, (q15_t)0x816b, (q15_t)0x12f3, (q15_t)0x816a, (q15_t)0x12ed, (q15_t)0x8169, (q15_t)0x12e7, (q15_t)0x8168, + (q15_t)0x12e0, (q15_t)0x8167, (q15_t)0x12da, (q15_t)0x8166, (q15_t)0x12d4, (q15_t)0x8165, (q15_t)0x12ce, (q15_t)0x8164, + (q15_t)0x12c8, (q15_t)0x8163, (q15_t)0x12c1, (q15_t)0x8162, (q15_t)0x12bb, (q15_t)0x8161, (q15_t)0x12b5, (q15_t)0x8160, + (q15_t)0x12af, (q15_t)0x815f, (q15_t)0x12a8, (q15_t)0x815f, (q15_t)0x12a2, (q15_t)0x815e, (q15_t)0x129c, (q15_t)0x815d, + (q15_t)0x1296, (q15_t)0x815c, (q15_t)0x1290, (q15_t)0x815b, (q15_t)0x1289, (q15_t)0x815a, (q15_t)0x1283, (q15_t)0x8159, + (q15_t)0x127d, (q15_t)0x8158, (q15_t)0x1277, (q15_t)0x8157, (q15_t)0x1271, (q15_t)0x8156, (q15_t)0x126a, (q15_t)0x8155, + (q15_t)0x1264, (q15_t)0x8155, (q15_t)0x125e, (q15_t)0x8154, (q15_t)0x1258, (q15_t)0x8153, (q15_t)0x1251, (q15_t)0x8152, + (q15_t)0x124b, (q15_t)0x8151, (q15_t)0x1245, (q15_t)0x8150, (q15_t)0x123f, (q15_t)0x814f, (q15_t)0x1239, (q15_t)0x814e, + (q15_t)0x1232, (q15_t)0x814d, (q15_t)0x122c, (q15_t)0x814c, (q15_t)0x1226, (q15_t)0x814c, (q15_t)0x1220, (q15_t)0x814b, + (q15_t)0x1219, (q15_t)0x814a, (q15_t)0x1213, (q15_t)0x8149, (q15_t)0x120d, (q15_t)0x8148, (q15_t)0x1207, (q15_t)0x8147, + (q15_t)0x1201, (q15_t)0x8146, (q15_t)0x11fa, (q15_t)0x8145, (q15_t)0x11f4, (q15_t)0x8145, (q15_t)0x11ee, (q15_t)0x8144, + (q15_t)0x11e8, (q15_t)0x8143, (q15_t)0x11e1, (q15_t)0x8142, (q15_t)0x11db, (q15_t)0x8141, (q15_t)0x11d5, (q15_t)0x8140, + (q15_t)0x11cf, (q15_t)0x813f, (q15_t)0x11c9, (q15_t)0x813e, (q15_t)0x11c2, (q15_t)0x813d, (q15_t)0x11bc, (q15_t)0x813d, + (q15_t)0x11b6, (q15_t)0x813c, (q15_t)0x11b0, (q15_t)0x813b, (q15_t)0x11a9, (q15_t)0x813a, (q15_t)0x11a3, (q15_t)0x8139, + (q15_t)0x119d, (q15_t)0x8138, (q15_t)0x1197, (q15_t)0x8137, (q15_t)0x1191, (q15_t)0x8137, (q15_t)0x118a, (q15_t)0x8136, + (q15_t)0x1184, (q15_t)0x8135, (q15_t)0x117e, (q15_t)0x8134, (q15_t)0x1178, (q15_t)0x8133, (q15_t)0x1171, (q15_t)0x8132, + (q15_t)0x116b, (q15_t)0x8131, (q15_t)0x1165, (q15_t)0x8131, (q15_t)0x115f, (q15_t)0x8130, (q15_t)0x1159, (q15_t)0x812f, + (q15_t)0x1152, (q15_t)0x812e, (q15_t)0x114c, (q15_t)0x812d, (q15_t)0x1146, (q15_t)0x812c, (q15_t)0x1140, (q15_t)0x812b, + (q15_t)0x1139, (q15_t)0x812b, (q15_t)0x1133, (q15_t)0x812a, (q15_t)0x112d, (q15_t)0x8129, (q15_t)0x1127, (q15_t)0x8128, + (q15_t)0x1121, (q15_t)0x8127, (q15_t)0x111a, (q15_t)0x8126, (q15_t)0x1114, (q15_t)0x8126, (q15_t)0x110e, (q15_t)0x8125, + (q15_t)0x1108, (q15_t)0x8124, (q15_t)0x1101, (q15_t)0x8123, (q15_t)0x10fb, (q15_t)0x8122, (q15_t)0x10f5, (q15_t)0x8121, + (q15_t)0x10ef, (q15_t)0x8121, (q15_t)0x10e8, (q15_t)0x8120, (q15_t)0x10e2, (q15_t)0x811f, (q15_t)0x10dc, (q15_t)0x811e, + (q15_t)0x10d6, (q15_t)0x811d, (q15_t)0x10d0, (q15_t)0x811c, (q15_t)0x10c9, (q15_t)0x811c, (q15_t)0x10c3, (q15_t)0x811b, + (q15_t)0x10bd, (q15_t)0x811a, (q15_t)0x10b7, (q15_t)0x8119, (q15_t)0x10b0, (q15_t)0x8118, (q15_t)0x10aa, (q15_t)0x8117, + (q15_t)0x10a4, (q15_t)0x8117, (q15_t)0x109e, (q15_t)0x8116, (q15_t)0x1098, (q15_t)0x8115, (q15_t)0x1091, (q15_t)0x8114, + (q15_t)0x108b, (q15_t)0x8113, (q15_t)0x1085, (q15_t)0x8113, (q15_t)0x107f, (q15_t)0x8112, (q15_t)0x1078, (q15_t)0x8111, + (q15_t)0x1072, (q15_t)0x8110, (q15_t)0x106c, (q15_t)0x810f, (q15_t)0x1066, (q15_t)0x810f, (q15_t)0x105f, (q15_t)0x810e, + (q15_t)0x1059, (q15_t)0x810d, (q15_t)0x1053, (q15_t)0x810c, (q15_t)0x104d, (q15_t)0x810b, (q15_t)0x1047, (q15_t)0x810b, + (q15_t)0x1040, (q15_t)0x810a, (q15_t)0x103a, (q15_t)0x8109, (q15_t)0x1034, (q15_t)0x8108, (q15_t)0x102e, (q15_t)0x8107, + (q15_t)0x1027, (q15_t)0x8107, (q15_t)0x1021, (q15_t)0x8106, (q15_t)0x101b, (q15_t)0x8105, (q15_t)0x1015, (q15_t)0x8104, + (q15_t)0x100e, (q15_t)0x8103, (q15_t)0x1008, (q15_t)0x8103, (q15_t)0x1002, (q15_t)0x8102, (q15_t)0xffc, (q15_t)0x8101, + (q15_t)0xff5, (q15_t)0x8100, (q15_t)0xfef, (q15_t)0x80ff, (q15_t)0xfe9, (q15_t)0x80ff, (q15_t)0xfe3, (q15_t)0x80fe, + (q15_t)0xfdd, (q15_t)0x80fd, (q15_t)0xfd6, (q15_t)0x80fc, (q15_t)0xfd0, (q15_t)0x80fc, (q15_t)0xfca, (q15_t)0x80fb, + (q15_t)0xfc4, (q15_t)0x80fa, (q15_t)0xfbd, (q15_t)0x80f9, (q15_t)0xfb7, (q15_t)0x80f8, (q15_t)0xfb1, (q15_t)0x80f8, + (q15_t)0xfab, (q15_t)0x80f7, (q15_t)0xfa4, (q15_t)0x80f6, (q15_t)0xf9e, (q15_t)0x80f5, (q15_t)0xf98, (q15_t)0x80f5, + (q15_t)0xf92, (q15_t)0x80f4, (q15_t)0xf8b, (q15_t)0x80f3, (q15_t)0xf85, (q15_t)0x80f2, (q15_t)0xf7f, (q15_t)0x80f2, + (q15_t)0xf79, (q15_t)0x80f1, (q15_t)0xf73, (q15_t)0x80f0, (q15_t)0xf6c, (q15_t)0x80ef, (q15_t)0xf66, (q15_t)0x80ef, + (q15_t)0xf60, (q15_t)0x80ee, (q15_t)0xf5a, (q15_t)0x80ed, (q15_t)0xf53, (q15_t)0x80ec, (q15_t)0xf4d, (q15_t)0x80ec, + (q15_t)0xf47, (q15_t)0x80eb, (q15_t)0xf41, (q15_t)0x80ea, (q15_t)0xf3a, (q15_t)0x80e9, (q15_t)0xf34, (q15_t)0x80e9, + (q15_t)0xf2e, (q15_t)0x80e8, (q15_t)0xf28, (q15_t)0x80e7, (q15_t)0xf21, (q15_t)0x80e6, (q15_t)0xf1b, (q15_t)0x80e6, + (q15_t)0xf15, (q15_t)0x80e5, (q15_t)0xf0f, (q15_t)0x80e4, (q15_t)0xf08, (q15_t)0x80e3, (q15_t)0xf02, (q15_t)0x80e3, + (q15_t)0xefc, (q15_t)0x80e2, (q15_t)0xef6, (q15_t)0x80e1, (q15_t)0xef0, (q15_t)0x80e0, (q15_t)0xee9, (q15_t)0x80e0, + (q15_t)0xee3, (q15_t)0x80df, (q15_t)0xedd, (q15_t)0x80de, (q15_t)0xed7, (q15_t)0x80dd, (q15_t)0xed0, (q15_t)0x80dd, + (q15_t)0xeca, (q15_t)0x80dc, (q15_t)0xec4, (q15_t)0x80db, (q15_t)0xebe, (q15_t)0x80db, (q15_t)0xeb7, (q15_t)0x80da, + (q15_t)0xeb1, (q15_t)0x80d9, (q15_t)0xeab, (q15_t)0x80d8, (q15_t)0xea5, (q15_t)0x80d8, (q15_t)0xe9e, (q15_t)0x80d7, + (q15_t)0xe98, (q15_t)0x80d6, (q15_t)0xe92, (q15_t)0x80d6, (q15_t)0xe8c, (q15_t)0x80d5, (q15_t)0xe85, (q15_t)0x80d4, + (q15_t)0xe7f, (q15_t)0x80d3, (q15_t)0xe79, (q15_t)0x80d3, (q15_t)0xe73, (q15_t)0x80d2, (q15_t)0xe6c, (q15_t)0x80d1, + (q15_t)0xe66, (q15_t)0x80d1, (q15_t)0xe60, (q15_t)0x80d0, (q15_t)0xe5a, (q15_t)0x80cf, (q15_t)0xe53, (q15_t)0x80ce, + (q15_t)0xe4d, (q15_t)0x80ce, (q15_t)0xe47, (q15_t)0x80cd, (q15_t)0xe41, (q15_t)0x80cc, (q15_t)0xe3a, (q15_t)0x80cc, + (q15_t)0xe34, (q15_t)0x80cb, (q15_t)0xe2e, (q15_t)0x80ca, (q15_t)0xe28, (q15_t)0x80ca, (q15_t)0xe22, (q15_t)0x80c9, + (q15_t)0xe1b, (q15_t)0x80c8, (q15_t)0xe15, (q15_t)0x80c7, (q15_t)0xe0f, (q15_t)0x80c7, (q15_t)0xe09, (q15_t)0x80c6, + (q15_t)0xe02, (q15_t)0x80c5, (q15_t)0xdfc, (q15_t)0x80c5, (q15_t)0xdf6, (q15_t)0x80c4, (q15_t)0xdf0, (q15_t)0x80c3, + (q15_t)0xde9, (q15_t)0x80c3, (q15_t)0xde3, (q15_t)0x80c2, (q15_t)0xddd, (q15_t)0x80c1, (q15_t)0xdd7, (q15_t)0x80c1, + (q15_t)0xdd0, (q15_t)0x80c0, (q15_t)0xdca, (q15_t)0x80bf, (q15_t)0xdc4, (q15_t)0x80bf, (q15_t)0xdbe, (q15_t)0x80be, + (q15_t)0xdb7, (q15_t)0x80bd, (q15_t)0xdb1, (q15_t)0x80bd, (q15_t)0xdab, (q15_t)0x80bc, (q15_t)0xda5, (q15_t)0x80bb, + (q15_t)0xd9e, (q15_t)0x80bb, (q15_t)0xd98, (q15_t)0x80ba, (q15_t)0xd92, (q15_t)0x80b9, (q15_t)0xd8c, (q15_t)0x80b9, + (q15_t)0xd85, (q15_t)0x80b8, (q15_t)0xd7f, (q15_t)0x80b7, (q15_t)0xd79, (q15_t)0x80b7, (q15_t)0xd73, (q15_t)0x80b6, + (q15_t)0xd6c, (q15_t)0x80b5, (q15_t)0xd66, (q15_t)0x80b5, (q15_t)0xd60, (q15_t)0x80b4, (q15_t)0xd5a, (q15_t)0x80b3, + (q15_t)0xd53, (q15_t)0x80b3, (q15_t)0xd4d, (q15_t)0x80b2, (q15_t)0xd47, (q15_t)0x80b1, (q15_t)0xd41, (q15_t)0x80b1, + (q15_t)0xd3a, (q15_t)0x80b0, (q15_t)0xd34, (q15_t)0x80af, (q15_t)0xd2e, (q15_t)0x80af, (q15_t)0xd28, (q15_t)0x80ae, + (q15_t)0xd21, (q15_t)0x80ad, (q15_t)0xd1b, (q15_t)0x80ad, (q15_t)0xd15, (q15_t)0x80ac, (q15_t)0xd0f, (q15_t)0x80ab, + (q15_t)0xd08, (q15_t)0x80ab, (q15_t)0xd02, (q15_t)0x80aa, (q15_t)0xcfc, (q15_t)0x80aa, (q15_t)0xcf6, (q15_t)0x80a9, + (q15_t)0xcef, (q15_t)0x80a8, (q15_t)0xce9, (q15_t)0x80a8, (q15_t)0xce3, (q15_t)0x80a7, (q15_t)0xcdd, (q15_t)0x80a6, + (q15_t)0xcd6, (q15_t)0x80a6, (q15_t)0xcd0, (q15_t)0x80a5, (q15_t)0xcca, (q15_t)0x80a5, (q15_t)0xcc4, (q15_t)0x80a4, + (q15_t)0xcbd, (q15_t)0x80a3, (q15_t)0xcb7, (q15_t)0x80a3, (q15_t)0xcb1, (q15_t)0x80a2, (q15_t)0xcab, (q15_t)0x80a1, + (q15_t)0xca4, (q15_t)0x80a1, (q15_t)0xc9e, (q15_t)0x80a0, (q15_t)0xc98, (q15_t)0x80a0, (q15_t)0xc92, (q15_t)0x809f, + (q15_t)0xc8b, (q15_t)0x809e, (q15_t)0xc85, (q15_t)0x809e, (q15_t)0xc7f, (q15_t)0x809d, (q15_t)0xc79, (q15_t)0x809c, + (q15_t)0xc72, (q15_t)0x809c, (q15_t)0xc6c, (q15_t)0x809b, (q15_t)0xc66, (q15_t)0x809b, (q15_t)0xc60, (q15_t)0x809a, + (q15_t)0xc59, (q15_t)0x8099, (q15_t)0xc53, (q15_t)0x8099, (q15_t)0xc4d, (q15_t)0x8098, (q15_t)0xc47, (q15_t)0x8098, + (q15_t)0xc40, (q15_t)0x8097, (q15_t)0xc3a, (q15_t)0x8096, (q15_t)0xc34, (q15_t)0x8096, (q15_t)0xc2e, (q15_t)0x8095, + (q15_t)0xc27, (q15_t)0x8095, (q15_t)0xc21, (q15_t)0x8094, (q15_t)0xc1b, (q15_t)0x8093, (q15_t)0xc14, (q15_t)0x8093, + (q15_t)0xc0e, (q15_t)0x8092, (q15_t)0xc08, (q15_t)0x8092, (q15_t)0xc02, (q15_t)0x8091, (q15_t)0xbfb, (q15_t)0x8090, + (q15_t)0xbf5, (q15_t)0x8090, (q15_t)0xbef, (q15_t)0x808f, (q15_t)0xbe9, (q15_t)0x808f, (q15_t)0xbe2, (q15_t)0x808e, + (q15_t)0xbdc, (q15_t)0x808e, (q15_t)0xbd6, (q15_t)0x808d, (q15_t)0xbd0, (q15_t)0x808c, (q15_t)0xbc9, (q15_t)0x808c, + (q15_t)0xbc3, (q15_t)0x808b, (q15_t)0xbbd, (q15_t)0x808b, (q15_t)0xbb7, (q15_t)0x808a, (q15_t)0xbb0, (q15_t)0x8089, + (q15_t)0xbaa, (q15_t)0x8089, (q15_t)0xba4, (q15_t)0x8088, (q15_t)0xb9e, (q15_t)0x8088, (q15_t)0xb97, (q15_t)0x8087, + (q15_t)0xb91, (q15_t)0x8087, (q15_t)0xb8b, (q15_t)0x8086, (q15_t)0xb85, (q15_t)0x8085, (q15_t)0xb7e, (q15_t)0x8085, + (q15_t)0xb78, (q15_t)0x8084, (q15_t)0xb72, (q15_t)0x8084, (q15_t)0xb6c, (q15_t)0x8083, (q15_t)0xb65, (q15_t)0x8083, + (q15_t)0xb5f, (q15_t)0x8082, (q15_t)0xb59, (q15_t)0x8082, (q15_t)0xb53, (q15_t)0x8081, (q15_t)0xb4c, (q15_t)0x8080, + (q15_t)0xb46, (q15_t)0x8080, (q15_t)0xb40, (q15_t)0x807f, (q15_t)0xb3a, (q15_t)0x807f, (q15_t)0xb33, (q15_t)0x807e, + (q15_t)0xb2d, (q15_t)0x807e, (q15_t)0xb27, (q15_t)0x807d, (q15_t)0xb20, (q15_t)0x807d, (q15_t)0xb1a, (q15_t)0x807c, + (q15_t)0xb14, (q15_t)0x807b, (q15_t)0xb0e, (q15_t)0x807b, (q15_t)0xb07, (q15_t)0x807a, (q15_t)0xb01, (q15_t)0x807a, + (q15_t)0xafb, (q15_t)0x8079, (q15_t)0xaf5, (q15_t)0x8079, (q15_t)0xaee, (q15_t)0x8078, (q15_t)0xae8, (q15_t)0x8078, + (q15_t)0xae2, (q15_t)0x8077, (q15_t)0xadc, (q15_t)0x8077, (q15_t)0xad5, (q15_t)0x8076, (q15_t)0xacf, (q15_t)0x8076, + (q15_t)0xac9, (q15_t)0x8075, (q15_t)0xac3, (q15_t)0x8075, (q15_t)0xabc, (q15_t)0x8074, (q15_t)0xab6, (q15_t)0x8073, + (q15_t)0xab0, (q15_t)0x8073, (q15_t)0xaaa, (q15_t)0x8072, (q15_t)0xaa3, (q15_t)0x8072, (q15_t)0xa9d, (q15_t)0x8071, + (q15_t)0xa97, (q15_t)0x8071, (q15_t)0xa90, (q15_t)0x8070, (q15_t)0xa8a, (q15_t)0x8070, (q15_t)0xa84, (q15_t)0x806f, + (q15_t)0xa7e, (q15_t)0x806f, (q15_t)0xa77, (q15_t)0x806e, (q15_t)0xa71, (q15_t)0x806e, (q15_t)0xa6b, (q15_t)0x806d, + (q15_t)0xa65, (q15_t)0x806d, (q15_t)0xa5e, (q15_t)0x806c, (q15_t)0xa58, (q15_t)0x806c, (q15_t)0xa52, (q15_t)0x806b, + (q15_t)0xa4c, (q15_t)0x806b, (q15_t)0xa45, (q15_t)0x806a, (q15_t)0xa3f, (q15_t)0x806a, (q15_t)0xa39, (q15_t)0x8069, + (q15_t)0xa33, (q15_t)0x8069, (q15_t)0xa2c, (q15_t)0x8068, (q15_t)0xa26, (q15_t)0x8068, (q15_t)0xa20, (q15_t)0x8067, + (q15_t)0xa19, (q15_t)0x8067, (q15_t)0xa13, (q15_t)0x8066, (q15_t)0xa0d, (q15_t)0x8066, (q15_t)0xa07, (q15_t)0x8065, + (q15_t)0xa00, (q15_t)0x8065, (q15_t)0x9fa, (q15_t)0x8064, (q15_t)0x9f4, (q15_t)0x8064, (q15_t)0x9ee, (q15_t)0x8063, + (q15_t)0x9e7, (q15_t)0x8063, (q15_t)0x9e1, (q15_t)0x8062, (q15_t)0x9db, (q15_t)0x8062, (q15_t)0x9d5, (q15_t)0x8061, + (q15_t)0x9ce, (q15_t)0x8061, (q15_t)0x9c8, (q15_t)0x8060, (q15_t)0x9c2, (q15_t)0x8060, (q15_t)0x9bc, (q15_t)0x805f, + (q15_t)0x9b5, (q15_t)0x805f, (q15_t)0x9af, (q15_t)0x805e, (q15_t)0x9a9, (q15_t)0x805e, (q15_t)0x9a2, (q15_t)0x805d, + (q15_t)0x99c, (q15_t)0x805d, (q15_t)0x996, (q15_t)0x805d, (q15_t)0x990, (q15_t)0x805c, (q15_t)0x989, (q15_t)0x805c, + (q15_t)0x983, (q15_t)0x805b, (q15_t)0x97d, (q15_t)0x805b, (q15_t)0x977, (q15_t)0x805a, (q15_t)0x970, (q15_t)0x805a, + (q15_t)0x96a, (q15_t)0x8059, (q15_t)0x964, (q15_t)0x8059, (q15_t)0x95e, (q15_t)0x8058, (q15_t)0x957, (q15_t)0x8058, + (q15_t)0x951, (q15_t)0x8057, (q15_t)0x94b, (q15_t)0x8057, (q15_t)0x944, (q15_t)0x8057, (q15_t)0x93e, (q15_t)0x8056, + (q15_t)0x938, (q15_t)0x8056, (q15_t)0x932, (q15_t)0x8055, (q15_t)0x92b, (q15_t)0x8055, (q15_t)0x925, (q15_t)0x8054, + (q15_t)0x91f, (q15_t)0x8054, (q15_t)0x919, (q15_t)0x8053, (q15_t)0x912, (q15_t)0x8053, (q15_t)0x90c, (q15_t)0x8052, + (q15_t)0x906, (q15_t)0x8052, (q15_t)0x900, (q15_t)0x8052, (q15_t)0x8f9, (q15_t)0x8051, (q15_t)0x8f3, (q15_t)0x8051, + (q15_t)0x8ed, (q15_t)0x8050, (q15_t)0x8e6, (q15_t)0x8050, (q15_t)0x8e0, (q15_t)0x804f, (q15_t)0x8da, (q15_t)0x804f, + (q15_t)0x8d4, (q15_t)0x804f, (q15_t)0x8cd, (q15_t)0x804e, (q15_t)0x8c7, (q15_t)0x804e, (q15_t)0x8c1, (q15_t)0x804d, + (q15_t)0x8bb, (q15_t)0x804d, (q15_t)0x8b4, (q15_t)0x804c, (q15_t)0x8ae, (q15_t)0x804c, (q15_t)0x8a8, (q15_t)0x804c, + (q15_t)0x8a2, (q15_t)0x804b, (q15_t)0x89b, (q15_t)0x804b, (q15_t)0x895, (q15_t)0x804a, (q15_t)0x88f, (q15_t)0x804a, + (q15_t)0x888, (q15_t)0x8049, (q15_t)0x882, (q15_t)0x8049, (q15_t)0x87c, (q15_t)0x8049, (q15_t)0x876, (q15_t)0x8048, + (q15_t)0x86f, (q15_t)0x8048, (q15_t)0x869, (q15_t)0x8047, (q15_t)0x863, (q15_t)0x8047, (q15_t)0x85d, (q15_t)0x8047, + (q15_t)0x856, (q15_t)0x8046, (q15_t)0x850, (q15_t)0x8046, (q15_t)0x84a, (q15_t)0x8045, (q15_t)0x843, (q15_t)0x8045, + (q15_t)0x83d, (q15_t)0x8044, (q15_t)0x837, (q15_t)0x8044, (q15_t)0x831, (q15_t)0x8044, (q15_t)0x82a, (q15_t)0x8043, + (q15_t)0x824, (q15_t)0x8043, (q15_t)0x81e, (q15_t)0x8042, (q15_t)0x818, (q15_t)0x8042, (q15_t)0x811, (q15_t)0x8042, + (q15_t)0x80b, (q15_t)0x8041, (q15_t)0x805, (q15_t)0x8041, (q15_t)0x7fe, (q15_t)0x8040, (q15_t)0x7f8, (q15_t)0x8040, + (q15_t)0x7f2, (q15_t)0x8040, (q15_t)0x7ec, (q15_t)0x803f, (q15_t)0x7e5, (q15_t)0x803f, (q15_t)0x7df, (q15_t)0x803f, + (q15_t)0x7d9, (q15_t)0x803e, (q15_t)0x7d3, (q15_t)0x803e, (q15_t)0x7cc, (q15_t)0x803d, (q15_t)0x7c6, (q15_t)0x803d, + (q15_t)0x7c0, (q15_t)0x803d, (q15_t)0x7ba, (q15_t)0x803c, (q15_t)0x7b3, (q15_t)0x803c, (q15_t)0x7ad, (q15_t)0x803b, + (q15_t)0x7a7, (q15_t)0x803b, (q15_t)0x7a0, (q15_t)0x803b, (q15_t)0x79a, (q15_t)0x803a, (q15_t)0x794, (q15_t)0x803a, + (q15_t)0x78e, (q15_t)0x803a, (q15_t)0x787, (q15_t)0x8039, (q15_t)0x781, (q15_t)0x8039, (q15_t)0x77b, (q15_t)0x8039, + (q15_t)0x775, (q15_t)0x8038, (q15_t)0x76e, (q15_t)0x8038, (q15_t)0x768, (q15_t)0x8037, (q15_t)0x762, (q15_t)0x8037, + (q15_t)0x75b, (q15_t)0x8037, (q15_t)0x755, (q15_t)0x8036, (q15_t)0x74f, (q15_t)0x8036, (q15_t)0x749, (q15_t)0x8036, + (q15_t)0x742, (q15_t)0x8035, (q15_t)0x73c, (q15_t)0x8035, (q15_t)0x736, (q15_t)0x8035, (q15_t)0x730, (q15_t)0x8034, + (q15_t)0x729, (q15_t)0x8034, (q15_t)0x723, (q15_t)0x8033, (q15_t)0x71d, (q15_t)0x8033, (q15_t)0x716, (q15_t)0x8033, + (q15_t)0x710, (q15_t)0x8032, (q15_t)0x70a, (q15_t)0x8032, (q15_t)0x704, (q15_t)0x8032, (q15_t)0x6fd, (q15_t)0x8031, + (q15_t)0x6f7, (q15_t)0x8031, (q15_t)0x6f1, (q15_t)0x8031, (q15_t)0x6ea, (q15_t)0x8030, (q15_t)0x6e4, (q15_t)0x8030, + (q15_t)0x6de, (q15_t)0x8030, (q15_t)0x6d8, (q15_t)0x802f, (q15_t)0x6d1, (q15_t)0x802f, (q15_t)0x6cb, (q15_t)0x802f, + (q15_t)0x6c5, (q15_t)0x802e, (q15_t)0x6bf, (q15_t)0x802e, (q15_t)0x6b8, (q15_t)0x802e, (q15_t)0x6b2, (q15_t)0x802d, + (q15_t)0x6ac, (q15_t)0x802d, (q15_t)0x6a5, (q15_t)0x802d, (q15_t)0x69f, (q15_t)0x802c, (q15_t)0x699, (q15_t)0x802c, + (q15_t)0x693, (q15_t)0x802c, (q15_t)0x68c, (q15_t)0x802b, (q15_t)0x686, (q15_t)0x802b, (q15_t)0x680, (q15_t)0x802b, + (q15_t)0x67a, (q15_t)0x802a, (q15_t)0x673, (q15_t)0x802a, (q15_t)0x66d, (q15_t)0x802a, (q15_t)0x667, (q15_t)0x802a, + (q15_t)0x660, (q15_t)0x8029, (q15_t)0x65a, (q15_t)0x8029, (q15_t)0x654, (q15_t)0x8029, (q15_t)0x64e, (q15_t)0x8028, + (q15_t)0x647, (q15_t)0x8028, (q15_t)0x641, (q15_t)0x8028, (q15_t)0x63b, (q15_t)0x8027, (q15_t)0x635, (q15_t)0x8027, + (q15_t)0x62e, (q15_t)0x8027, (q15_t)0x628, (q15_t)0x8026, (q15_t)0x622, (q15_t)0x8026, (q15_t)0x61b, (q15_t)0x8026, + (q15_t)0x615, (q15_t)0x8026, (q15_t)0x60f, (q15_t)0x8025, (q15_t)0x609, (q15_t)0x8025, (q15_t)0x602, (q15_t)0x8025, + (q15_t)0x5fc, (q15_t)0x8024, (q15_t)0x5f6, (q15_t)0x8024, (q15_t)0x5ef, (q15_t)0x8024, (q15_t)0x5e9, (q15_t)0x8023, + (q15_t)0x5e3, (q15_t)0x8023, (q15_t)0x5dd, (q15_t)0x8023, (q15_t)0x5d6, (q15_t)0x8023, (q15_t)0x5d0, (q15_t)0x8022, + (q15_t)0x5ca, (q15_t)0x8022, (q15_t)0x5c4, (q15_t)0x8022, (q15_t)0x5bd, (q15_t)0x8021, (q15_t)0x5b7, (q15_t)0x8021, + (q15_t)0x5b1, (q15_t)0x8021, (q15_t)0x5aa, (q15_t)0x8021, (q15_t)0x5a4, (q15_t)0x8020, (q15_t)0x59e, (q15_t)0x8020, + (q15_t)0x598, (q15_t)0x8020, (q15_t)0x591, (q15_t)0x8020, (q15_t)0x58b, (q15_t)0x801f, (q15_t)0x585, (q15_t)0x801f, + (q15_t)0x57f, (q15_t)0x801f, (q15_t)0x578, (q15_t)0x801e, (q15_t)0x572, (q15_t)0x801e, (q15_t)0x56c, (q15_t)0x801e, + (q15_t)0x565, (q15_t)0x801e, (q15_t)0x55f, (q15_t)0x801d, (q15_t)0x559, (q15_t)0x801d, (q15_t)0x553, (q15_t)0x801d, + (q15_t)0x54c, (q15_t)0x801d, (q15_t)0x546, (q15_t)0x801c, (q15_t)0x540, (q15_t)0x801c, (q15_t)0x539, (q15_t)0x801c, + (q15_t)0x533, (q15_t)0x801c, (q15_t)0x52d, (q15_t)0x801b, (q15_t)0x527, (q15_t)0x801b, (q15_t)0x520, (q15_t)0x801b, + (q15_t)0x51a, (q15_t)0x801b, (q15_t)0x514, (q15_t)0x801a, (q15_t)0x50d, (q15_t)0x801a, (q15_t)0x507, (q15_t)0x801a, + (q15_t)0x501, (q15_t)0x801a, (q15_t)0x4fb, (q15_t)0x8019, (q15_t)0x4f4, (q15_t)0x8019, (q15_t)0x4ee, (q15_t)0x8019, + (q15_t)0x4e8, (q15_t)0x8019, (q15_t)0x4e2, (q15_t)0x8018, (q15_t)0x4db, (q15_t)0x8018, (q15_t)0x4d5, (q15_t)0x8018, + (q15_t)0x4cf, (q15_t)0x8018, (q15_t)0x4c8, (q15_t)0x8017, (q15_t)0x4c2, (q15_t)0x8017, (q15_t)0x4bc, (q15_t)0x8017, + (q15_t)0x4b6, (q15_t)0x8017, (q15_t)0x4af, (q15_t)0x8016, (q15_t)0x4a9, (q15_t)0x8016, (q15_t)0x4a3, (q15_t)0x8016, + (q15_t)0x49c, (q15_t)0x8016, (q15_t)0x496, (q15_t)0x8016, (q15_t)0x490, (q15_t)0x8015, (q15_t)0x48a, (q15_t)0x8015, + (q15_t)0x483, (q15_t)0x8015, (q15_t)0x47d, (q15_t)0x8015, (q15_t)0x477, (q15_t)0x8014, (q15_t)0x471, (q15_t)0x8014, + (q15_t)0x46a, (q15_t)0x8014, (q15_t)0x464, (q15_t)0x8014, (q15_t)0x45e, (q15_t)0x8014, (q15_t)0x457, (q15_t)0x8013, + (q15_t)0x451, (q15_t)0x8013, (q15_t)0x44b, (q15_t)0x8013, (q15_t)0x445, (q15_t)0x8013, (q15_t)0x43e, (q15_t)0x8013, + (q15_t)0x438, (q15_t)0x8012, (q15_t)0x432, (q15_t)0x8012, (q15_t)0x42b, (q15_t)0x8012, (q15_t)0x425, (q15_t)0x8012, + (q15_t)0x41f, (q15_t)0x8012, (q15_t)0x419, (q15_t)0x8011, (q15_t)0x412, (q15_t)0x8011, (q15_t)0x40c, (q15_t)0x8011, + (q15_t)0x406, (q15_t)0x8011, (q15_t)0x3ff, (q15_t)0x8011, (q15_t)0x3f9, (q15_t)0x8010, (q15_t)0x3f3, (q15_t)0x8010, + (q15_t)0x3ed, (q15_t)0x8010, (q15_t)0x3e6, (q15_t)0x8010, (q15_t)0x3e0, (q15_t)0x8010, (q15_t)0x3da, (q15_t)0x800f, + (q15_t)0x3d4, (q15_t)0x800f, (q15_t)0x3cd, (q15_t)0x800f, (q15_t)0x3c7, (q15_t)0x800f, (q15_t)0x3c1, (q15_t)0x800f, + (q15_t)0x3ba, (q15_t)0x800e, (q15_t)0x3b4, (q15_t)0x800e, (q15_t)0x3ae, (q15_t)0x800e, (q15_t)0x3a8, (q15_t)0x800e, + (q15_t)0x3a1, (q15_t)0x800e, (q15_t)0x39b, (q15_t)0x800e, (q15_t)0x395, (q15_t)0x800d, (q15_t)0x38e, (q15_t)0x800d, + (q15_t)0x388, (q15_t)0x800d, (q15_t)0x382, (q15_t)0x800d, (q15_t)0x37c, (q15_t)0x800d, (q15_t)0x375, (q15_t)0x800c, + (q15_t)0x36f, (q15_t)0x800c, (q15_t)0x369, (q15_t)0x800c, (q15_t)0x362, (q15_t)0x800c, (q15_t)0x35c, (q15_t)0x800c, + (q15_t)0x356, (q15_t)0x800c, (q15_t)0x350, (q15_t)0x800b, (q15_t)0x349, (q15_t)0x800b, (q15_t)0x343, (q15_t)0x800b, + (q15_t)0x33d, (q15_t)0x800b, (q15_t)0x337, (q15_t)0x800b, (q15_t)0x330, (q15_t)0x800b, (q15_t)0x32a, (q15_t)0x800b, + (q15_t)0x324, (q15_t)0x800a, (q15_t)0x31d, (q15_t)0x800a, (q15_t)0x317, (q15_t)0x800a, (q15_t)0x311, (q15_t)0x800a, + (q15_t)0x30b, (q15_t)0x800a, (q15_t)0x304, (q15_t)0x800a, (q15_t)0x2fe, (q15_t)0x8009, (q15_t)0x2f8, (q15_t)0x8009, + (q15_t)0x2f1, (q15_t)0x8009, (q15_t)0x2eb, (q15_t)0x8009, (q15_t)0x2e5, (q15_t)0x8009, (q15_t)0x2df, (q15_t)0x8009, + (q15_t)0x2d8, (q15_t)0x8009, (q15_t)0x2d2, (q15_t)0x8008, (q15_t)0x2cc, (q15_t)0x8008, (q15_t)0x2c5, (q15_t)0x8008, + (q15_t)0x2bf, (q15_t)0x8008, (q15_t)0x2b9, (q15_t)0x8008, (q15_t)0x2b3, (q15_t)0x8008, (q15_t)0x2ac, (q15_t)0x8008, + (q15_t)0x2a6, (q15_t)0x8008, (q15_t)0x2a0, (q15_t)0x8007, (q15_t)0x299, (q15_t)0x8007, (q15_t)0x293, (q15_t)0x8007, + (q15_t)0x28d, (q15_t)0x8007, (q15_t)0x287, (q15_t)0x8007, (q15_t)0x280, (q15_t)0x8007, (q15_t)0x27a, (q15_t)0x8007, + (q15_t)0x274, (q15_t)0x8007, (q15_t)0x26d, (q15_t)0x8006, (q15_t)0x267, (q15_t)0x8006, (q15_t)0x261, (q15_t)0x8006, + (q15_t)0x25b, (q15_t)0x8006, (q15_t)0x254, (q15_t)0x8006, (q15_t)0x24e, (q15_t)0x8006, (q15_t)0x248, (q15_t)0x8006, + (q15_t)0x242, (q15_t)0x8006, (q15_t)0x23b, (q15_t)0x8005, (q15_t)0x235, (q15_t)0x8005, (q15_t)0x22f, (q15_t)0x8005, + (q15_t)0x228, (q15_t)0x8005, (q15_t)0x222, (q15_t)0x8005, (q15_t)0x21c, (q15_t)0x8005, (q15_t)0x216, (q15_t)0x8005, + (q15_t)0x20f, (q15_t)0x8005, (q15_t)0x209, (q15_t)0x8005, (q15_t)0x203, (q15_t)0x8005, (q15_t)0x1fc, (q15_t)0x8004, + (q15_t)0x1f6, (q15_t)0x8004, (q15_t)0x1f0, (q15_t)0x8004, (q15_t)0x1ea, (q15_t)0x8004, (q15_t)0x1e3, (q15_t)0x8004, + (q15_t)0x1dd, (q15_t)0x8004, (q15_t)0x1d7, (q15_t)0x8004, (q15_t)0x1d0, (q15_t)0x8004, (q15_t)0x1ca, (q15_t)0x8004, + (q15_t)0x1c4, (q15_t)0x8004, (q15_t)0x1be, (q15_t)0x8004, (q15_t)0x1b7, (q15_t)0x8003, (q15_t)0x1b1, (q15_t)0x8003, + (q15_t)0x1ab, (q15_t)0x8003, (q15_t)0x1a4, (q15_t)0x8003, (q15_t)0x19e, (q15_t)0x8003, (q15_t)0x198, (q15_t)0x8003, + (q15_t)0x192, (q15_t)0x8003, (q15_t)0x18b, (q15_t)0x8003, (q15_t)0x185, (q15_t)0x8003, (q15_t)0x17f, (q15_t)0x8003, + (q15_t)0x178, (q15_t)0x8003, (q15_t)0x172, (q15_t)0x8003, (q15_t)0x16c, (q15_t)0x8003, (q15_t)0x166, (q15_t)0x8002, + (q15_t)0x15f, (q15_t)0x8002, (q15_t)0x159, (q15_t)0x8002, (q15_t)0x153, (q15_t)0x8002, (q15_t)0x14d, (q15_t)0x8002, + (q15_t)0x146, (q15_t)0x8002, (q15_t)0x140, (q15_t)0x8002, (q15_t)0x13a, (q15_t)0x8002, (q15_t)0x133, (q15_t)0x8002, + (q15_t)0x12d, (q15_t)0x8002, (q15_t)0x127, (q15_t)0x8002, (q15_t)0x121, (q15_t)0x8002, (q15_t)0x11a, (q15_t)0x8002, + (q15_t)0x114, (q15_t)0x8002, (q15_t)0x10e, (q15_t)0x8002, (q15_t)0x107, (q15_t)0x8002, (q15_t)0x101, (q15_t)0x8002, + (q15_t)0xfb, (q15_t)0x8001, (q15_t)0xf5, (q15_t)0x8001, (q15_t)0xee, (q15_t)0x8001, (q15_t)0xe8, (q15_t)0x8001, + (q15_t)0xe2, (q15_t)0x8001, (q15_t)0xdb, (q15_t)0x8001, (q15_t)0xd5, (q15_t)0x8001, (q15_t)0xcf, (q15_t)0x8001, + (q15_t)0xc9, (q15_t)0x8001, (q15_t)0xc2, (q15_t)0x8001, (q15_t)0xbc, (q15_t)0x8001, (q15_t)0xb6, (q15_t)0x8001, + (q15_t)0xaf, (q15_t)0x8001, (q15_t)0xa9, (q15_t)0x8001, (q15_t)0xa3, (q15_t)0x8001, (q15_t)0x9d, (q15_t)0x8001, + (q15_t)0x96, (q15_t)0x8001, (q15_t)0x90, (q15_t)0x8001, (q15_t)0x8a, (q15_t)0x8001, (q15_t)0x83, (q15_t)0x8001, + (q15_t)0x7d, (q15_t)0x8001, (q15_t)0x77, (q15_t)0x8001, (q15_t)0x71, (q15_t)0x8001, (q15_t)0x6a, (q15_t)0x8001, + (q15_t)0x64, (q15_t)0x8001, (q15_t)0x5e, (q15_t)0x8001, (q15_t)0x57, (q15_t)0x8001, (q15_t)0x51, (q15_t)0x8001, + (q15_t)0x4b, (q15_t)0x8001, (q15_t)0x45, (q15_t)0x8001, (q15_t)0x3e, (q15_t)0x8001, (q15_t)0x38, (q15_t)0x8001, + (q15_t)0x32, (q15_t)0x8001, (q15_t)0x2b, (q15_t)0x8001, (q15_t)0x25, (q15_t)0x8001, (q15_t)0x1f, (q15_t)0x8001, + (q15_t)0x19, (q15_t)0x8001, (q15_t)0x12, (q15_t)0x8001, (q15_t)0xc, (q15_t)0x8001, (q15_t)0x6, (q15_t)0x8001 +}; + + +/** +* \par +* cosFactor tables are generated using the formula :
 cos_factors[n] = 2 * cos((2n+1)*pi/(4*N)) 
+* \par +* C command to generate the table +*
+* for(i = 0; i< N; i++)
+* {
+*   cos_factors[i]= 2 * cos((2*i+1)*c/2);
+* } 
+* \par +* where N is the number of factors to generate and c is pi/(2*N) +* \par +* Then converted to q15 format by multiplying with 2^31 and saturated if required. + +*/ + +static const q15_t ALIGN4 cos_factorsQ15_128[128] = { + (q15_t)0x7fff, (q15_t)0x7ffa, (q15_t)0x7ff0, (q15_t)0x7fe1, (q15_t)0x7fce, (q15_t)0x7fb5, (q15_t)0x7f97, (q15_t)0x7f75, + (q15_t)0x7f4d, (q15_t)0x7f21, (q15_t)0x7ef0, (q15_t)0x7eba, (q15_t)0x7e7f, (q15_t)0x7e3f, (q15_t)0x7dfa, (q15_t)0x7db0, + (q15_t)0x7d62, (q15_t)0x7d0f, (q15_t)0x7cb7, (q15_t)0x7c5a, (q15_t)0x7bf8, (q15_t)0x7b92, (q15_t)0x7b26, (q15_t)0x7ab6, + (q15_t)0x7a42, (q15_t)0x79c8, (q15_t)0x794a, (q15_t)0x78c7, (q15_t)0x7840, (q15_t)0x77b4, (q15_t)0x7723, (q15_t)0x768e, + (q15_t)0x75f4, (q15_t)0x7555, (q15_t)0x74b2, (q15_t)0x740b, (q15_t)0x735f, (q15_t)0x72af, (q15_t)0x71fa, (q15_t)0x7141, + (q15_t)0x7083, (q15_t)0x6fc1, (q15_t)0x6efb, (q15_t)0x6e30, (q15_t)0x6d62, (q15_t)0x6c8f, (q15_t)0x6bb8, (q15_t)0x6adc, + (q15_t)0x69fd, (q15_t)0x6919, (q15_t)0x6832, (q15_t)0x6746, (q15_t)0x6657, (q15_t)0x6563, (q15_t)0x646c, (q15_t)0x6371, + (q15_t)0x6271, (q15_t)0x616f, (q15_t)0x6068, (q15_t)0x5f5e, (q15_t)0x5e50, (q15_t)0x5d3e, (q15_t)0x5c29, (q15_t)0x5b10, + (q15_t)0x59f3, (q15_t)0x58d4, (q15_t)0x57b0, (q15_t)0x568a, (q15_t)0x5560, (q15_t)0x5433, (q15_t)0x5302, (q15_t)0x51ce, + (q15_t)0x5097, (q15_t)0x4f5e, (q15_t)0x4e21, (q15_t)0x4ce1, (q15_t)0x4b9e, (q15_t)0x4a58, (q15_t)0x490f, (q15_t)0x47c3, + (q15_t)0x4675, (q15_t)0x4524, (q15_t)0x43d0, (q15_t)0x427a, (q15_t)0x4121, (q15_t)0x3fc5, (q15_t)0x3e68, (q15_t)0x3d07, + (q15_t)0x3ba5, (q15_t)0x3a40, (q15_t)0x38d8, (q15_t)0x376f, (q15_t)0x3604, (q15_t)0x3496, (q15_t)0x3326, (q15_t)0x31b5, + (q15_t)0x3041, (q15_t)0x2ecc, (q15_t)0x2d55, (q15_t)0x2bdc, (q15_t)0x2a61, (q15_t)0x28e5, (q15_t)0x2767, (q15_t)0x25e8, + (q15_t)0x2467, (q15_t)0x22e5, (q15_t)0x2161, (q15_t)0x1fdc, (q15_t)0x1e56, (q15_t)0x1ccf, (q15_t)0x1b47, (q15_t)0x19bd, + (q15_t)0x1833, (q15_t)0x16a8, (q15_t)0x151b, (q15_t)0x138e, (q15_t)0x1201, (q15_t)0x1072, (q15_t)0xee3, (q15_t)0xd53, + (q15_t)0xbc3, (q15_t)0xa33, (q15_t)0x8a2, (q15_t)0x710, (q15_t)0x57f, (q15_t)0x3ed, (q15_t)0x25b, (q15_t)0xc9 +}; + +static const q15_t ALIGN4 cos_factorsQ15_512[512] = { + (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7ffe, (q15_t)0x7ffc, (q15_t)0x7ffb, (q15_t)0x7ff9, (q15_t)0x7ff7, + (q15_t)0x7ff4, (q15_t)0x7ff2, (q15_t)0x7fee, (q15_t)0x7feb, (q15_t)0x7fe7, (q15_t)0x7fe3, (q15_t)0x7fdf, (q15_t)0x7fda, + (q15_t)0x7fd6, (q15_t)0x7fd0, (q15_t)0x7fcb, (q15_t)0x7fc5, (q15_t)0x7fbf, (q15_t)0x7fb8, (q15_t)0x7fb1, (q15_t)0x7faa, + (q15_t)0x7fa3, (q15_t)0x7f9b, (q15_t)0x7f93, (q15_t)0x7f8b, (q15_t)0x7f82, (q15_t)0x7f79, (q15_t)0x7f70, (q15_t)0x7f67, + (q15_t)0x7f5d, (q15_t)0x7f53, (q15_t)0x7f48, (q15_t)0x7f3d, (q15_t)0x7f32, (q15_t)0x7f27, (q15_t)0x7f1b, (q15_t)0x7f0f, + (q15_t)0x7f03, (q15_t)0x7ef6, (q15_t)0x7ee9, (q15_t)0x7edc, (q15_t)0x7ecf, (q15_t)0x7ec1, (q15_t)0x7eb3, (q15_t)0x7ea4, + (q15_t)0x7e95, (q15_t)0x7e86, (q15_t)0x7e77, (q15_t)0x7e67, (q15_t)0x7e57, (q15_t)0x7e47, (q15_t)0x7e37, (q15_t)0x7e26, + (q15_t)0x7e14, (q15_t)0x7e03, (q15_t)0x7df1, (q15_t)0x7ddf, (q15_t)0x7dcd, (q15_t)0x7dba, (q15_t)0x7da7, (q15_t)0x7d94, + (q15_t)0x7d80, (q15_t)0x7d6c, (q15_t)0x7d58, (q15_t)0x7d43, (q15_t)0x7d2f, (q15_t)0x7d19, (q15_t)0x7d04, (q15_t)0x7cee, + (q15_t)0x7cd8, (q15_t)0x7cc2, (q15_t)0x7cab, (q15_t)0x7c94, (q15_t)0x7c7d, (q15_t)0x7c66, (q15_t)0x7c4e, (q15_t)0x7c36, + (q15_t)0x7c1d, (q15_t)0x7c05, (q15_t)0x7beb, (q15_t)0x7bd2, (q15_t)0x7bb9, (q15_t)0x7b9f, (q15_t)0x7b84, (q15_t)0x7b6a, + (q15_t)0x7b4f, (q15_t)0x7b34, (q15_t)0x7b19, (q15_t)0x7afd, (q15_t)0x7ae1, (q15_t)0x7ac5, (q15_t)0x7aa8, (q15_t)0x7a8b, + (q15_t)0x7a6e, (q15_t)0x7a50, (q15_t)0x7a33, (q15_t)0x7a15, (q15_t)0x79f6, (q15_t)0x79d8, (q15_t)0x79b9, (q15_t)0x7999, + (q15_t)0x797a, (q15_t)0x795a, (q15_t)0x793a, (q15_t)0x7919, (q15_t)0x78f9, (q15_t)0x78d8, (q15_t)0x78b6, (q15_t)0x7895, + (q15_t)0x7873, (q15_t)0x7851, (q15_t)0x782e, (q15_t)0x780c, (q15_t)0x77e9, (q15_t)0x77c5, (q15_t)0x77a2, (q15_t)0x777e, + (q15_t)0x775a, (q15_t)0x7735, (q15_t)0x7710, (q15_t)0x76eb, (q15_t)0x76c6, (q15_t)0x76a0, (q15_t)0x767b, (q15_t)0x7654, + (q15_t)0x762e, (q15_t)0x7607, (q15_t)0x75e0, (q15_t)0x75b9, (q15_t)0x7591, (q15_t)0x7569, (q15_t)0x7541, (q15_t)0x7519, + (q15_t)0x74f0, (q15_t)0x74c7, (q15_t)0x749e, (q15_t)0x7474, (q15_t)0x744a, (q15_t)0x7420, (q15_t)0x73f6, (q15_t)0x73cb, + (q15_t)0x73a0, (q15_t)0x7375, (q15_t)0x7349, (q15_t)0x731d, (q15_t)0x72f1, (q15_t)0x72c5, (q15_t)0x7298, (q15_t)0x726b, + (q15_t)0x723e, (q15_t)0x7211, (q15_t)0x71e3, (q15_t)0x71b5, (q15_t)0x7186, (q15_t)0x7158, (q15_t)0x7129, (q15_t)0x70fa, + (q15_t)0x70cb, (q15_t)0x709b, (q15_t)0x706b, (q15_t)0x703b, (q15_t)0x700a, (q15_t)0x6fda, (q15_t)0x6fa9, (q15_t)0x6f77, + (q15_t)0x6f46, (q15_t)0x6f14, (q15_t)0x6ee2, (q15_t)0x6eaf, (q15_t)0x6e7d, (q15_t)0x6e4a, (q15_t)0x6e17, (q15_t)0x6de3, + (q15_t)0x6db0, (q15_t)0x6d7c, (q15_t)0x6d48, (q15_t)0x6d13, (q15_t)0x6cde, (q15_t)0x6ca9, (q15_t)0x6c74, (q15_t)0x6c3f, + (q15_t)0x6c09, (q15_t)0x6bd3, (q15_t)0x6b9c, (q15_t)0x6b66, (q15_t)0x6b2f, (q15_t)0x6af8, (q15_t)0x6ac1, (q15_t)0x6a89, + (q15_t)0x6a51, (q15_t)0x6a19, (q15_t)0x69e1, (q15_t)0x69a8, (q15_t)0x696f, (q15_t)0x6936, (q15_t)0x68fd, (q15_t)0x68c3, + (q15_t)0x6889, (q15_t)0x684f, (q15_t)0x6815, (q15_t)0x67da, (q15_t)0x679f, (q15_t)0x6764, (q15_t)0x6729, (q15_t)0x66ed, + (q15_t)0x66b1, (q15_t)0x6675, (q15_t)0x6639, (q15_t)0x65fc, (q15_t)0x65bf, (q15_t)0x6582, (q15_t)0x6545, (q15_t)0x6507, + (q15_t)0x64c9, (q15_t)0x648b, (q15_t)0x644d, (q15_t)0x640e, (q15_t)0x63cf, (q15_t)0x6390, (q15_t)0x6351, (q15_t)0x6311, + (q15_t)0x62d2, (q15_t)0x6292, (q15_t)0x6251, (q15_t)0x6211, (q15_t)0x61d0, (q15_t)0x618f, (q15_t)0x614e, (q15_t)0x610d, + (q15_t)0x60cb, (q15_t)0x6089, (q15_t)0x6047, (q15_t)0x6004, (q15_t)0x5fc2, (q15_t)0x5f7f, (q15_t)0x5f3c, (q15_t)0x5ef9, + (q15_t)0x5eb5, (q15_t)0x5e71, (q15_t)0x5e2d, (q15_t)0x5de9, (q15_t)0x5da5, (q15_t)0x5d60, (q15_t)0x5d1b, (q15_t)0x5cd6, + (q15_t)0x5c91, (q15_t)0x5c4b, (q15_t)0x5c06, (q15_t)0x5bc0, (q15_t)0x5b79, (q15_t)0x5b33, (q15_t)0x5aec, (q15_t)0x5aa5, + (q15_t)0x5a5e, (q15_t)0x5a17, (q15_t)0x59d0, (q15_t)0x5988, (q15_t)0x5940, (q15_t)0x58f8, (q15_t)0x58af, (q15_t)0x5867, + (q15_t)0x581e, (q15_t)0x57d5, (q15_t)0x578c, (q15_t)0x5742, (q15_t)0x56f9, (q15_t)0x56af, (q15_t)0x5665, (q15_t)0x561a, + (q15_t)0x55d0, (q15_t)0x5585, (q15_t)0x553a, (q15_t)0x54ef, (q15_t)0x54a4, (q15_t)0x5458, (q15_t)0x540d, (q15_t)0x53c1, + (q15_t)0x5375, (q15_t)0x5328, (q15_t)0x52dc, (q15_t)0x528f, (q15_t)0x5242, (q15_t)0x51f5, (q15_t)0x51a8, (q15_t)0x515a, + (q15_t)0x510c, (q15_t)0x50bf, (q15_t)0x5070, (q15_t)0x5022, (q15_t)0x4fd4, (q15_t)0x4f85, (q15_t)0x4f36, (q15_t)0x4ee7, + (q15_t)0x4e98, (q15_t)0x4e48, (q15_t)0x4df9, (q15_t)0x4da9, (q15_t)0x4d59, (q15_t)0x4d09, (q15_t)0x4cb8, (q15_t)0x4c68, + (q15_t)0x4c17, (q15_t)0x4bc6, (q15_t)0x4b75, (q15_t)0x4b24, (q15_t)0x4ad2, (q15_t)0x4a81, (q15_t)0x4a2f, (q15_t)0x49dd, + (q15_t)0x498a, (q15_t)0x4938, (q15_t)0x48e6, (q15_t)0x4893, (q15_t)0x4840, (q15_t)0x47ed, (q15_t)0x479a, (q15_t)0x4746, + (q15_t)0x46f3, (q15_t)0x469f, (q15_t)0x464b, (q15_t)0x45f7, (q15_t)0x45a3, (q15_t)0x454e, (q15_t)0x44fa, (q15_t)0x44a5, + (q15_t)0x4450, (q15_t)0x43fb, (q15_t)0x43a5, (q15_t)0x4350, (q15_t)0x42fa, (q15_t)0x42a5, (q15_t)0x424f, (q15_t)0x41f9, + (q15_t)0x41a2, (q15_t)0x414c, (q15_t)0x40f6, (q15_t)0x409f, (q15_t)0x4048, (q15_t)0x3ff1, (q15_t)0x3f9a, (q15_t)0x3f43, + (q15_t)0x3eeb, (q15_t)0x3e93, (q15_t)0x3e3c, (q15_t)0x3de4, (q15_t)0x3d8c, (q15_t)0x3d33, (q15_t)0x3cdb, (q15_t)0x3c83, + (q15_t)0x3c2a, (q15_t)0x3bd1, (q15_t)0x3b78, (q15_t)0x3b1f, (q15_t)0x3ac6, (q15_t)0x3a6c, (q15_t)0x3a13, (q15_t)0x39b9, + (q15_t)0x395f, (q15_t)0x3906, (q15_t)0x38ab, (q15_t)0x3851, (q15_t)0x37f7, (q15_t)0x379c, (q15_t)0x3742, (q15_t)0x36e7, + (q15_t)0x368c, (q15_t)0x3631, (q15_t)0x35d6, (q15_t)0x357b, (q15_t)0x351f, (q15_t)0x34c4, (q15_t)0x3468, (q15_t)0x340c, + (q15_t)0x33b0, (q15_t)0x3354, (q15_t)0x32f8, (q15_t)0x329c, (q15_t)0x3240, (q15_t)0x31e3, (q15_t)0x3186, (q15_t)0x312a, + (q15_t)0x30cd, (q15_t)0x3070, (q15_t)0x3013, (q15_t)0x2fb5, (q15_t)0x2f58, (q15_t)0x2efb, (q15_t)0x2e9d, (q15_t)0x2e3f, + (q15_t)0x2de2, (q15_t)0x2d84, (q15_t)0x2d26, (q15_t)0x2cc8, (q15_t)0x2c69, (q15_t)0x2c0b, (q15_t)0x2bad, (q15_t)0x2b4e, + (q15_t)0x2aef, (q15_t)0x2a91, (q15_t)0x2a32, (q15_t)0x29d3, (q15_t)0x2974, (q15_t)0x2915, (q15_t)0x28b5, (q15_t)0x2856, + (q15_t)0x27f6, (q15_t)0x2797, (q15_t)0x2737, (q15_t)0x26d8, (q15_t)0x2678, (q15_t)0x2618, (q15_t)0x25b8, (q15_t)0x2558, + (q15_t)0x24f7, (q15_t)0x2497, (q15_t)0x2437, (q15_t)0x23d6, (q15_t)0x2376, (q15_t)0x2315, (q15_t)0x22b4, (q15_t)0x2254, + (q15_t)0x21f3, (q15_t)0x2192, (q15_t)0x2131, (q15_t)0x20d0, (q15_t)0x206e, (q15_t)0x200d, (q15_t)0x1fac, (q15_t)0x1f4a, + (q15_t)0x1ee9, (q15_t)0x1e87, (q15_t)0x1e25, (q15_t)0x1dc4, (q15_t)0x1d62, (q15_t)0x1d00, (q15_t)0x1c9e, (q15_t)0x1c3c, + (q15_t)0x1bda, (q15_t)0x1b78, (q15_t)0x1b16, (q15_t)0x1ab3, (q15_t)0x1a51, (q15_t)0x19ef, (q15_t)0x198c, (q15_t)0x192a, + (q15_t)0x18c7, (q15_t)0x1864, (q15_t)0x1802, (q15_t)0x179f, (q15_t)0x173c, (q15_t)0x16d9, (q15_t)0x1676, (q15_t)0x1613, + (q15_t)0x15b0, (q15_t)0x154d, (q15_t)0x14ea, (q15_t)0x1487, (q15_t)0x1423, (q15_t)0x13c0, (q15_t)0x135d, (q15_t)0x12f9, + (q15_t)0x1296, (q15_t)0x1232, (q15_t)0x11cf, (q15_t)0x116b, (q15_t)0x1108, (q15_t)0x10a4, (q15_t)0x1040, (q15_t)0xfdd, + (q15_t)0xf79, (q15_t)0xf15, (q15_t)0xeb1, (q15_t)0xe4d, (q15_t)0xde9, (q15_t)0xd85, (q15_t)0xd21, (q15_t)0xcbd, + (q15_t)0xc59, (q15_t)0xbf5, (q15_t)0xb91, (q15_t)0xb2d, (q15_t)0xac9, (q15_t)0xa65, (q15_t)0xa00, (q15_t)0x99c, + (q15_t)0x938, (q15_t)0x8d4, (q15_t)0x86f, (q15_t)0x80b, (q15_t)0x7a7, (q15_t)0x742, (q15_t)0x6de, (q15_t)0x67a, + (q15_t)0x615, (q15_t)0x5b1, (q15_t)0x54c, (q15_t)0x4e8, (q15_t)0x483, (q15_t)0x41f, (q15_t)0x3ba, (q15_t)0x356, + (q15_t)0x2f1, (q15_t)0x28d, (q15_t)0x228, (q15_t)0x1c4, (q15_t)0x15f, (q15_t)0xfb, (q15_t)0x96, (q15_t)0x32 +}; + +static const q15_t ALIGN4 cos_factorsQ15_2048[2048] = { + (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, + (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffd, (q15_t)0x7ffd, + (q15_t)0x7ffd, (q15_t)0x7ffd, (q15_t)0x7ffc, (q15_t)0x7ffc, (q15_t)0x7ffb, (q15_t)0x7ffb, (q15_t)0x7ffb, (q15_t)0x7ffa, + (q15_t)0x7ffa, (q15_t)0x7ff9, (q15_t)0x7ff9, (q15_t)0x7ff8, (q15_t)0x7ff8, (q15_t)0x7ff7, (q15_t)0x7ff7, (q15_t)0x7ff6, + (q15_t)0x7ff5, (q15_t)0x7ff5, (q15_t)0x7ff4, (q15_t)0x7ff3, (q15_t)0x7ff3, (q15_t)0x7ff2, (q15_t)0x7ff1, (q15_t)0x7ff0, + (q15_t)0x7ff0, (q15_t)0x7fef, (q15_t)0x7fee, (q15_t)0x7fed, (q15_t)0x7fec, (q15_t)0x7fec, (q15_t)0x7feb, (q15_t)0x7fea, + (q15_t)0x7fe9, (q15_t)0x7fe8, (q15_t)0x7fe7, (q15_t)0x7fe6, (q15_t)0x7fe5, (q15_t)0x7fe4, (q15_t)0x7fe3, (q15_t)0x7fe2, + (q15_t)0x7fe1, (q15_t)0x7fe0, (q15_t)0x7fdf, (q15_t)0x7fdd, (q15_t)0x7fdc, (q15_t)0x7fdb, (q15_t)0x7fda, (q15_t)0x7fd9, + (q15_t)0x7fd7, (q15_t)0x7fd6, (q15_t)0x7fd5, (q15_t)0x7fd4, (q15_t)0x7fd2, (q15_t)0x7fd1, (q15_t)0x7fd0, (q15_t)0x7fce, + (q15_t)0x7fcd, (q15_t)0x7fcb, (q15_t)0x7fca, (q15_t)0x7fc9, (q15_t)0x7fc7, (q15_t)0x7fc6, (q15_t)0x7fc4, (q15_t)0x7fc3, + (q15_t)0x7fc1, (q15_t)0x7fc0, (q15_t)0x7fbe, (q15_t)0x7fbc, (q15_t)0x7fbb, (q15_t)0x7fb9, (q15_t)0x7fb7, (q15_t)0x7fb6, + (q15_t)0x7fb4, (q15_t)0x7fb2, (q15_t)0x7fb1, (q15_t)0x7faf, (q15_t)0x7fad, (q15_t)0x7fab, (q15_t)0x7fa9, (q15_t)0x7fa8, + (q15_t)0x7fa6, (q15_t)0x7fa4, (q15_t)0x7fa2, (q15_t)0x7fa0, (q15_t)0x7f9e, (q15_t)0x7f9c, (q15_t)0x7f9a, (q15_t)0x7f98, + (q15_t)0x7f96, (q15_t)0x7f94, (q15_t)0x7f92, (q15_t)0x7f90, (q15_t)0x7f8e, (q15_t)0x7f8c, (q15_t)0x7f8a, (q15_t)0x7f88, + (q15_t)0x7f86, (q15_t)0x7f83, (q15_t)0x7f81, (q15_t)0x7f7f, (q15_t)0x7f7d, (q15_t)0x7f7b, (q15_t)0x7f78, (q15_t)0x7f76, + (q15_t)0x7f74, (q15_t)0x7f71, (q15_t)0x7f6f, (q15_t)0x7f6d, (q15_t)0x7f6a, (q15_t)0x7f68, (q15_t)0x7f65, (q15_t)0x7f63, + (q15_t)0x7f60, (q15_t)0x7f5e, (q15_t)0x7f5b, (q15_t)0x7f59, (q15_t)0x7f56, (q15_t)0x7f54, (q15_t)0x7f51, (q15_t)0x7f4f, + (q15_t)0x7f4c, (q15_t)0x7f49, (q15_t)0x7f47, (q15_t)0x7f44, (q15_t)0x7f41, (q15_t)0x7f3f, (q15_t)0x7f3c, (q15_t)0x7f39, + (q15_t)0x7f36, (q15_t)0x7f34, (q15_t)0x7f31, (q15_t)0x7f2e, (q15_t)0x7f2b, (q15_t)0x7f28, (q15_t)0x7f25, (q15_t)0x7f23, + (q15_t)0x7f20, (q15_t)0x7f1d, (q15_t)0x7f1a, (q15_t)0x7f17, (q15_t)0x7f14, (q15_t)0x7f11, (q15_t)0x7f0e, (q15_t)0x7f0b, + (q15_t)0x7f08, (q15_t)0x7f04, (q15_t)0x7f01, (q15_t)0x7efe, (q15_t)0x7efb, (q15_t)0x7ef8, (q15_t)0x7ef5, (q15_t)0x7ef1, + (q15_t)0x7eee, (q15_t)0x7eeb, (q15_t)0x7ee8, (q15_t)0x7ee4, (q15_t)0x7ee1, (q15_t)0x7ede, (q15_t)0x7eda, (q15_t)0x7ed7, + (q15_t)0x7ed4, (q15_t)0x7ed0, (q15_t)0x7ecd, (q15_t)0x7ec9, (q15_t)0x7ec6, (q15_t)0x7ec3, (q15_t)0x7ebf, (q15_t)0x7ebb, + (q15_t)0x7eb8, (q15_t)0x7eb4, (q15_t)0x7eb1, (q15_t)0x7ead, (q15_t)0x7eaa, (q15_t)0x7ea6, (q15_t)0x7ea2, (q15_t)0x7e9f, + (q15_t)0x7e9b, (q15_t)0x7e97, (q15_t)0x7e94, (q15_t)0x7e90, (q15_t)0x7e8c, (q15_t)0x7e88, (q15_t)0x7e84, (q15_t)0x7e81, + (q15_t)0x7e7d, (q15_t)0x7e79, (q15_t)0x7e75, (q15_t)0x7e71, (q15_t)0x7e6d, (q15_t)0x7e69, (q15_t)0x7e65, (q15_t)0x7e61, + (q15_t)0x7e5d, (q15_t)0x7e59, (q15_t)0x7e55, (q15_t)0x7e51, (q15_t)0x7e4d, (q15_t)0x7e49, (q15_t)0x7e45, (q15_t)0x7e41, + (q15_t)0x7e3d, (q15_t)0x7e39, (q15_t)0x7e34, (q15_t)0x7e30, (q15_t)0x7e2c, (q15_t)0x7e28, (q15_t)0x7e24, (q15_t)0x7e1f, + (q15_t)0x7e1b, (q15_t)0x7e17, (q15_t)0x7e12, (q15_t)0x7e0e, (q15_t)0x7e0a, (q15_t)0x7e05, (q15_t)0x7e01, (q15_t)0x7dfc, + (q15_t)0x7df8, (q15_t)0x7df3, (q15_t)0x7def, (q15_t)0x7dea, (q15_t)0x7de6, (q15_t)0x7de1, (q15_t)0x7ddd, (q15_t)0x7dd8, + (q15_t)0x7dd4, (q15_t)0x7dcf, (q15_t)0x7dca, (q15_t)0x7dc6, (q15_t)0x7dc1, (q15_t)0x7dbc, (q15_t)0x7db8, (q15_t)0x7db3, + (q15_t)0x7dae, (q15_t)0x7da9, (q15_t)0x7da5, (q15_t)0x7da0, (q15_t)0x7d9b, (q15_t)0x7d96, (q15_t)0x7d91, (q15_t)0x7d8c, + (q15_t)0x7d87, (q15_t)0x7d82, (q15_t)0x7d7e, (q15_t)0x7d79, (q15_t)0x7d74, (q15_t)0x7d6f, (q15_t)0x7d6a, (q15_t)0x7d65, + (q15_t)0x7d60, (q15_t)0x7d5a, (q15_t)0x7d55, (q15_t)0x7d50, (q15_t)0x7d4b, (q15_t)0x7d46, (q15_t)0x7d41, (q15_t)0x7d3c, + (q15_t)0x7d36, (q15_t)0x7d31, (q15_t)0x7d2c, (q15_t)0x7d27, (q15_t)0x7d21, (q15_t)0x7d1c, (q15_t)0x7d17, (q15_t)0x7d11, + (q15_t)0x7d0c, (q15_t)0x7d07, (q15_t)0x7d01, (q15_t)0x7cfc, (q15_t)0x7cf6, (q15_t)0x7cf1, (q15_t)0x7cec, (q15_t)0x7ce6, + (q15_t)0x7ce1, (q15_t)0x7cdb, (q15_t)0x7cd5, (q15_t)0x7cd0, (q15_t)0x7cca, (q15_t)0x7cc5, (q15_t)0x7cbf, (q15_t)0x7cb9, + (q15_t)0x7cb4, (q15_t)0x7cae, (q15_t)0x7ca8, (q15_t)0x7ca3, (q15_t)0x7c9d, (q15_t)0x7c97, (q15_t)0x7c91, (q15_t)0x7c8c, + (q15_t)0x7c86, (q15_t)0x7c80, (q15_t)0x7c7a, (q15_t)0x7c74, (q15_t)0x7c6e, (q15_t)0x7c69, (q15_t)0x7c63, (q15_t)0x7c5d, + (q15_t)0x7c57, (q15_t)0x7c51, (q15_t)0x7c4b, (q15_t)0x7c45, (q15_t)0x7c3f, (q15_t)0x7c39, (q15_t)0x7c33, (q15_t)0x7c2d, + (q15_t)0x7c26, (q15_t)0x7c20, (q15_t)0x7c1a, (q15_t)0x7c14, (q15_t)0x7c0e, (q15_t)0x7c08, (q15_t)0x7c01, (q15_t)0x7bfb, + (q15_t)0x7bf5, (q15_t)0x7bef, (q15_t)0x7be8, (q15_t)0x7be2, (q15_t)0x7bdc, (q15_t)0x7bd5, (q15_t)0x7bcf, (q15_t)0x7bc9, + (q15_t)0x7bc2, (q15_t)0x7bbc, (q15_t)0x7bb5, (q15_t)0x7baf, (q15_t)0x7ba8, (q15_t)0x7ba2, (q15_t)0x7b9b, (q15_t)0x7b95, + (q15_t)0x7b8e, (q15_t)0x7b88, (q15_t)0x7b81, (q15_t)0x7b7a, (q15_t)0x7b74, (q15_t)0x7b6d, (q15_t)0x7b67, (q15_t)0x7b60, + (q15_t)0x7b59, (q15_t)0x7b52, (q15_t)0x7b4c, (q15_t)0x7b45, (q15_t)0x7b3e, (q15_t)0x7b37, (q15_t)0x7b31, (q15_t)0x7b2a, + (q15_t)0x7b23, (q15_t)0x7b1c, (q15_t)0x7b15, (q15_t)0x7b0e, (q15_t)0x7b07, (q15_t)0x7b00, (q15_t)0x7af9, (q15_t)0x7af2, + (q15_t)0x7aeb, (q15_t)0x7ae4, (q15_t)0x7add, (q15_t)0x7ad6, (q15_t)0x7acf, (q15_t)0x7ac8, (q15_t)0x7ac1, (q15_t)0x7aba, + (q15_t)0x7ab3, (q15_t)0x7aac, (q15_t)0x7aa4, (q15_t)0x7a9d, (q15_t)0x7a96, (q15_t)0x7a8f, (q15_t)0x7a87, (q15_t)0x7a80, + (q15_t)0x7a79, (q15_t)0x7a72, (q15_t)0x7a6a, (q15_t)0x7a63, (q15_t)0x7a5c, (q15_t)0x7a54, (q15_t)0x7a4d, (q15_t)0x7a45, + (q15_t)0x7a3e, (q15_t)0x7a36, (q15_t)0x7a2f, (q15_t)0x7a27, (q15_t)0x7a20, (q15_t)0x7a18, (q15_t)0x7a11, (q15_t)0x7a09, + (q15_t)0x7a02, (q15_t)0x79fa, (q15_t)0x79f2, (q15_t)0x79eb, (q15_t)0x79e3, (q15_t)0x79db, (q15_t)0x79d4, (q15_t)0x79cc, + (q15_t)0x79c4, (q15_t)0x79bc, (q15_t)0x79b5, (q15_t)0x79ad, (q15_t)0x79a5, (q15_t)0x799d, (q15_t)0x7995, (q15_t)0x798e, + (q15_t)0x7986, (q15_t)0x797e, (q15_t)0x7976, (q15_t)0x796e, (q15_t)0x7966, (q15_t)0x795e, (q15_t)0x7956, (q15_t)0x794e, + (q15_t)0x7946, (q15_t)0x793e, (q15_t)0x7936, (q15_t)0x792e, (q15_t)0x7926, (q15_t)0x791e, (q15_t)0x7915, (q15_t)0x790d, + (q15_t)0x7905, (q15_t)0x78fd, (q15_t)0x78f5, (q15_t)0x78ec, (q15_t)0x78e4, (q15_t)0x78dc, (q15_t)0x78d4, (q15_t)0x78cb, + (q15_t)0x78c3, (q15_t)0x78bb, (q15_t)0x78b2, (q15_t)0x78aa, (q15_t)0x78a2, (q15_t)0x7899, (q15_t)0x7891, (q15_t)0x7888, + (q15_t)0x7880, (q15_t)0x7877, (q15_t)0x786f, (q15_t)0x7866, (q15_t)0x785e, (q15_t)0x7855, (q15_t)0x784d, (q15_t)0x7844, + (q15_t)0x783b, (q15_t)0x7833, (q15_t)0x782a, (q15_t)0x7821, (q15_t)0x7819, (q15_t)0x7810, (q15_t)0x7807, (q15_t)0x77ff, + (q15_t)0x77f6, (q15_t)0x77ed, (q15_t)0x77e4, (q15_t)0x77db, (q15_t)0x77d3, (q15_t)0x77ca, (q15_t)0x77c1, (q15_t)0x77b8, + (q15_t)0x77af, (q15_t)0x77a6, (q15_t)0x779d, (q15_t)0x7794, (q15_t)0x778b, (q15_t)0x7782, (q15_t)0x7779, (q15_t)0x7770, + (q15_t)0x7767, (q15_t)0x775e, (q15_t)0x7755, (q15_t)0x774c, (q15_t)0x7743, (q15_t)0x773a, (q15_t)0x7731, (q15_t)0x7727, + (q15_t)0x771e, (q15_t)0x7715, (q15_t)0x770c, (q15_t)0x7703, (q15_t)0x76f9, (q15_t)0x76f0, (q15_t)0x76e7, (q15_t)0x76dd, + (q15_t)0x76d4, (q15_t)0x76cb, (q15_t)0x76c1, (q15_t)0x76b8, (q15_t)0x76af, (q15_t)0x76a5, (q15_t)0x769c, (q15_t)0x7692, + (q15_t)0x7689, (q15_t)0x767f, (q15_t)0x7676, (q15_t)0x766c, (q15_t)0x7663, (q15_t)0x7659, (q15_t)0x7650, (q15_t)0x7646, + (q15_t)0x763c, (q15_t)0x7633, (q15_t)0x7629, (q15_t)0x761f, (q15_t)0x7616, (q15_t)0x760c, (q15_t)0x7602, (q15_t)0x75f9, + (q15_t)0x75ef, (q15_t)0x75e5, (q15_t)0x75db, (q15_t)0x75d1, (q15_t)0x75c8, (q15_t)0x75be, (q15_t)0x75b4, (q15_t)0x75aa, + (q15_t)0x75a0, (q15_t)0x7596, (q15_t)0x758c, (q15_t)0x7582, (q15_t)0x7578, (q15_t)0x756e, (q15_t)0x7564, (q15_t)0x755a, + (q15_t)0x7550, (q15_t)0x7546, (q15_t)0x753c, (q15_t)0x7532, (q15_t)0x7528, (q15_t)0x751e, (q15_t)0x7514, (q15_t)0x7509, + (q15_t)0x74ff, (q15_t)0x74f5, (q15_t)0x74eb, (q15_t)0x74e1, (q15_t)0x74d6, (q15_t)0x74cc, (q15_t)0x74c2, (q15_t)0x74b7, + (q15_t)0x74ad, (q15_t)0x74a3, (q15_t)0x7498, (q15_t)0x748e, (q15_t)0x7484, (q15_t)0x7479, (q15_t)0x746f, (q15_t)0x7464, + (q15_t)0x745a, (q15_t)0x744f, (q15_t)0x7445, (q15_t)0x743a, (q15_t)0x7430, (q15_t)0x7425, (q15_t)0x741b, (q15_t)0x7410, + (q15_t)0x7406, (q15_t)0x73fb, (q15_t)0x73f0, (q15_t)0x73e6, (q15_t)0x73db, (q15_t)0x73d0, (q15_t)0x73c6, (q15_t)0x73bb, + (q15_t)0x73b0, (q15_t)0x73a5, (q15_t)0x739b, (q15_t)0x7390, (q15_t)0x7385, (q15_t)0x737a, (q15_t)0x736f, (q15_t)0x7364, + (q15_t)0x7359, (q15_t)0x734f, (q15_t)0x7344, (q15_t)0x7339, (q15_t)0x732e, (q15_t)0x7323, (q15_t)0x7318, (q15_t)0x730d, + (q15_t)0x7302, (q15_t)0x72f7, (q15_t)0x72ec, (q15_t)0x72e1, (q15_t)0x72d5, (q15_t)0x72ca, (q15_t)0x72bf, (q15_t)0x72b4, + (q15_t)0x72a9, (q15_t)0x729e, (q15_t)0x7293, (q15_t)0x7287, (q15_t)0x727c, (q15_t)0x7271, (q15_t)0x7266, (q15_t)0x725a, + (q15_t)0x724f, (q15_t)0x7244, (q15_t)0x7238, (q15_t)0x722d, (q15_t)0x7222, (q15_t)0x7216, (q15_t)0x720b, (q15_t)0x71ff, + (q15_t)0x71f4, (q15_t)0x71e9, (q15_t)0x71dd, (q15_t)0x71d2, (q15_t)0x71c6, (q15_t)0x71bb, (q15_t)0x71af, (q15_t)0x71a3, + (q15_t)0x7198, (q15_t)0x718c, (q15_t)0x7181, (q15_t)0x7175, (q15_t)0x7169, (q15_t)0x715e, (q15_t)0x7152, (q15_t)0x7146, + (q15_t)0x713b, (q15_t)0x712f, (q15_t)0x7123, (q15_t)0x7117, (q15_t)0x710c, (q15_t)0x7100, (q15_t)0x70f4, (q15_t)0x70e8, + (q15_t)0x70dc, (q15_t)0x70d1, (q15_t)0x70c5, (q15_t)0x70b9, (q15_t)0x70ad, (q15_t)0x70a1, (q15_t)0x7095, (q15_t)0x7089, + (q15_t)0x707d, (q15_t)0x7071, (q15_t)0x7065, (q15_t)0x7059, (q15_t)0x704d, (q15_t)0x7041, (q15_t)0x7035, (q15_t)0x7029, + (q15_t)0x701d, (q15_t)0x7010, (q15_t)0x7004, (q15_t)0x6ff8, (q15_t)0x6fec, (q15_t)0x6fe0, (q15_t)0x6fd3, (q15_t)0x6fc7, + (q15_t)0x6fbb, (q15_t)0x6faf, (q15_t)0x6fa2, (q15_t)0x6f96, (q15_t)0x6f8a, (q15_t)0x6f7d, (q15_t)0x6f71, (q15_t)0x6f65, + (q15_t)0x6f58, (q15_t)0x6f4c, (q15_t)0x6f3f, (q15_t)0x6f33, (q15_t)0x6f27, (q15_t)0x6f1a, (q15_t)0x6f0e, (q15_t)0x6f01, + (q15_t)0x6ef5, (q15_t)0x6ee8, (q15_t)0x6edc, (q15_t)0x6ecf, (q15_t)0x6ec2, (q15_t)0x6eb6, (q15_t)0x6ea9, (q15_t)0x6e9c, + (q15_t)0x6e90, (q15_t)0x6e83, (q15_t)0x6e76, (q15_t)0x6e6a, (q15_t)0x6e5d, (q15_t)0x6e50, (q15_t)0x6e44, (q15_t)0x6e37, + (q15_t)0x6e2a, (q15_t)0x6e1d, (q15_t)0x6e10, (q15_t)0x6e04, (q15_t)0x6df7, (q15_t)0x6dea, (q15_t)0x6ddd, (q15_t)0x6dd0, + (q15_t)0x6dc3, (q15_t)0x6db6, (q15_t)0x6da9, (q15_t)0x6d9c, (q15_t)0x6d8f, (q15_t)0x6d82, (q15_t)0x6d75, (q15_t)0x6d68, + (q15_t)0x6d5b, (q15_t)0x6d4e, (q15_t)0x6d41, (q15_t)0x6d34, (q15_t)0x6d27, (q15_t)0x6d1a, (q15_t)0x6d0c, (q15_t)0x6cff, + (q15_t)0x6cf2, (q15_t)0x6ce5, (q15_t)0x6cd8, (q15_t)0x6cca, (q15_t)0x6cbd, (q15_t)0x6cb0, (q15_t)0x6ca3, (q15_t)0x6c95, + (q15_t)0x6c88, (q15_t)0x6c7b, (q15_t)0x6c6d, (q15_t)0x6c60, (q15_t)0x6c53, (q15_t)0x6c45, (q15_t)0x6c38, (q15_t)0x6c2a, + (q15_t)0x6c1d, (q15_t)0x6c0f, (q15_t)0x6c02, (q15_t)0x6bf5, (q15_t)0x6be7, (q15_t)0x6bd9, (q15_t)0x6bcc, (q15_t)0x6bbe, + (q15_t)0x6bb1, (q15_t)0x6ba3, (q15_t)0x6b96, (q15_t)0x6b88, (q15_t)0x6b7a, (q15_t)0x6b6d, (q15_t)0x6b5f, (q15_t)0x6b51, + (q15_t)0x6b44, (q15_t)0x6b36, (q15_t)0x6b28, (q15_t)0x6b1a, (q15_t)0x6b0d, (q15_t)0x6aff, (q15_t)0x6af1, (q15_t)0x6ae3, + (q15_t)0x6ad5, (q15_t)0x6ac8, (q15_t)0x6aba, (q15_t)0x6aac, (q15_t)0x6a9e, (q15_t)0x6a90, (q15_t)0x6a82, (q15_t)0x6a74, + (q15_t)0x6a66, (q15_t)0x6a58, (q15_t)0x6a4a, (q15_t)0x6a3c, (q15_t)0x6a2e, (q15_t)0x6a20, (q15_t)0x6a12, (q15_t)0x6a04, + (q15_t)0x69f6, (q15_t)0x69e8, (q15_t)0x69da, (q15_t)0x69cb, (q15_t)0x69bd, (q15_t)0x69af, (q15_t)0x69a1, (q15_t)0x6993, + (q15_t)0x6985, (q15_t)0x6976, (q15_t)0x6968, (q15_t)0x695a, (q15_t)0x694b, (q15_t)0x693d, (q15_t)0x692f, (q15_t)0x6921, + (q15_t)0x6912, (q15_t)0x6904, (q15_t)0x68f5, (q15_t)0x68e7, (q15_t)0x68d9, (q15_t)0x68ca, (q15_t)0x68bc, (q15_t)0x68ad, + (q15_t)0x689f, (q15_t)0x6890, (q15_t)0x6882, (q15_t)0x6873, (q15_t)0x6865, (q15_t)0x6856, (q15_t)0x6848, (q15_t)0x6839, + (q15_t)0x682b, (q15_t)0x681c, (q15_t)0x680d, (q15_t)0x67ff, (q15_t)0x67f0, (q15_t)0x67e1, (q15_t)0x67d3, (q15_t)0x67c4, + (q15_t)0x67b5, (q15_t)0x67a6, (q15_t)0x6798, (q15_t)0x6789, (q15_t)0x677a, (q15_t)0x676b, (q15_t)0x675d, (q15_t)0x674e, + (q15_t)0x673f, (q15_t)0x6730, (q15_t)0x6721, (q15_t)0x6712, (q15_t)0x6703, (q15_t)0x66f4, (q15_t)0x66e5, (q15_t)0x66d6, + (q15_t)0x66c8, (q15_t)0x66b9, (q15_t)0x66aa, (q15_t)0x669b, (q15_t)0x668b, (q15_t)0x667c, (q15_t)0x666d, (q15_t)0x665e, + (q15_t)0x664f, (q15_t)0x6640, (q15_t)0x6631, (q15_t)0x6622, (q15_t)0x6613, (q15_t)0x6603, (q15_t)0x65f4, (q15_t)0x65e5, + (q15_t)0x65d6, (q15_t)0x65c7, (q15_t)0x65b7, (q15_t)0x65a8, (q15_t)0x6599, (q15_t)0x658a, (q15_t)0x657a, (q15_t)0x656b, + (q15_t)0x655c, (q15_t)0x654c, (q15_t)0x653d, (q15_t)0x652d, (q15_t)0x651e, (q15_t)0x650f, (q15_t)0x64ff, (q15_t)0x64f0, + (q15_t)0x64e0, (q15_t)0x64d1, (q15_t)0x64c1, (q15_t)0x64b2, (q15_t)0x64a2, (q15_t)0x6493, (q15_t)0x6483, (q15_t)0x6474, + (q15_t)0x6464, (q15_t)0x6454, (q15_t)0x6445, (q15_t)0x6435, (q15_t)0x6426, (q15_t)0x6416, (q15_t)0x6406, (q15_t)0x63f7, + (q15_t)0x63e7, (q15_t)0x63d7, (q15_t)0x63c7, (q15_t)0x63b8, (q15_t)0x63a8, (q15_t)0x6398, (q15_t)0x6388, (q15_t)0x6378, + (q15_t)0x6369, (q15_t)0x6359, (q15_t)0x6349, (q15_t)0x6339, (q15_t)0x6329, (q15_t)0x6319, (q15_t)0x6309, (q15_t)0x62f9, + (q15_t)0x62ea, (q15_t)0x62da, (q15_t)0x62ca, (q15_t)0x62ba, (q15_t)0x62aa, (q15_t)0x629a, (q15_t)0x628a, (q15_t)0x627a, + (q15_t)0x6269, (q15_t)0x6259, (q15_t)0x6249, (q15_t)0x6239, (q15_t)0x6229, (q15_t)0x6219, (q15_t)0x6209, (q15_t)0x61f9, + (q15_t)0x61e8, (q15_t)0x61d8, (q15_t)0x61c8, (q15_t)0x61b8, (q15_t)0x61a8, (q15_t)0x6197, (q15_t)0x6187, (q15_t)0x6177, + (q15_t)0x6166, (q15_t)0x6156, (q15_t)0x6146, (q15_t)0x6135, (q15_t)0x6125, (q15_t)0x6115, (q15_t)0x6104, (q15_t)0x60f4, + (q15_t)0x60e4, (q15_t)0x60d3, (q15_t)0x60c3, (q15_t)0x60b2, (q15_t)0x60a2, (q15_t)0x6091, (q15_t)0x6081, (q15_t)0x6070, + (q15_t)0x6060, (q15_t)0x604f, (q15_t)0x603f, (q15_t)0x602e, (q15_t)0x601d, (q15_t)0x600d, (q15_t)0x5ffc, (q15_t)0x5fec, + (q15_t)0x5fdb, (q15_t)0x5fca, (q15_t)0x5fba, (q15_t)0x5fa9, (q15_t)0x5f98, (q15_t)0x5f87, (q15_t)0x5f77, (q15_t)0x5f66, + (q15_t)0x5f55, (q15_t)0x5f44, (q15_t)0x5f34, (q15_t)0x5f23, (q15_t)0x5f12, (q15_t)0x5f01, (q15_t)0x5ef0, (q15_t)0x5edf, + (q15_t)0x5ecf, (q15_t)0x5ebe, (q15_t)0x5ead, (q15_t)0x5e9c, (q15_t)0x5e8b, (q15_t)0x5e7a, (q15_t)0x5e69, (q15_t)0x5e58, + (q15_t)0x5e47, (q15_t)0x5e36, (q15_t)0x5e25, (q15_t)0x5e14, (q15_t)0x5e03, (q15_t)0x5df2, (q15_t)0x5de1, (q15_t)0x5dd0, + (q15_t)0x5dbf, (q15_t)0x5dad, (q15_t)0x5d9c, (q15_t)0x5d8b, (q15_t)0x5d7a, (q15_t)0x5d69, (q15_t)0x5d58, (q15_t)0x5d46, + (q15_t)0x5d35, (q15_t)0x5d24, (q15_t)0x5d13, (q15_t)0x5d01, (q15_t)0x5cf0, (q15_t)0x5cdf, (q15_t)0x5cce, (q15_t)0x5cbc, + (q15_t)0x5cab, (q15_t)0x5c9a, (q15_t)0x5c88, (q15_t)0x5c77, (q15_t)0x5c66, (q15_t)0x5c54, (q15_t)0x5c43, (q15_t)0x5c31, + (q15_t)0x5c20, (q15_t)0x5c0e, (q15_t)0x5bfd, (q15_t)0x5beb, (q15_t)0x5bda, (q15_t)0x5bc8, (q15_t)0x5bb7, (q15_t)0x5ba5, + (q15_t)0x5b94, (q15_t)0x5b82, (q15_t)0x5b71, (q15_t)0x5b5f, (q15_t)0x5b4d, (q15_t)0x5b3c, (q15_t)0x5b2a, (q15_t)0x5b19, + (q15_t)0x5b07, (q15_t)0x5af5, (q15_t)0x5ae4, (q15_t)0x5ad2, (q15_t)0x5ac0, (q15_t)0x5aae, (q15_t)0x5a9d, (q15_t)0x5a8b, + (q15_t)0x5a79, (q15_t)0x5a67, (q15_t)0x5a56, (q15_t)0x5a44, (q15_t)0x5a32, (q15_t)0x5a20, (q15_t)0x5a0e, (q15_t)0x59fc, + (q15_t)0x59ea, (q15_t)0x59d9, (q15_t)0x59c7, (q15_t)0x59b5, (q15_t)0x59a3, (q15_t)0x5991, (q15_t)0x597f, (q15_t)0x596d, + (q15_t)0x595b, (q15_t)0x5949, (q15_t)0x5937, (q15_t)0x5925, (q15_t)0x5913, (q15_t)0x5901, (q15_t)0x58ef, (q15_t)0x58dd, + (q15_t)0x58cb, (q15_t)0x58b8, (q15_t)0x58a6, (q15_t)0x5894, (q15_t)0x5882, (q15_t)0x5870, (q15_t)0x585e, (q15_t)0x584b, + (q15_t)0x5839, (q15_t)0x5827, (q15_t)0x5815, (q15_t)0x5803, (q15_t)0x57f0, (q15_t)0x57de, (q15_t)0x57cc, (q15_t)0x57b9, + (q15_t)0x57a7, (q15_t)0x5795, (q15_t)0x5783, (q15_t)0x5770, (q15_t)0x575e, (q15_t)0x574b, (q15_t)0x5739, (q15_t)0x5727, + (q15_t)0x5714, (q15_t)0x5702, (q15_t)0x56ef, (q15_t)0x56dd, (q15_t)0x56ca, (q15_t)0x56b8, (q15_t)0x56a5, (q15_t)0x5693, + (q15_t)0x5680, (q15_t)0x566e, (q15_t)0x565b, (q15_t)0x5649, (q15_t)0x5636, (q15_t)0x5624, (q15_t)0x5611, (q15_t)0x55fe, + (q15_t)0x55ec, (q15_t)0x55d9, (q15_t)0x55c7, (q15_t)0x55b4, (q15_t)0x55a1, (q15_t)0x558f, (q15_t)0x557c, (q15_t)0x5569, + (q15_t)0x5556, (q15_t)0x5544, (q15_t)0x5531, (q15_t)0x551e, (q15_t)0x550b, (q15_t)0x54f9, (q15_t)0x54e6, (q15_t)0x54d3, + (q15_t)0x54c0, (q15_t)0x54ad, (q15_t)0x549a, (q15_t)0x5488, (q15_t)0x5475, (q15_t)0x5462, (q15_t)0x544f, (q15_t)0x543c, + (q15_t)0x5429, (q15_t)0x5416, (q15_t)0x5403, (q15_t)0x53f0, (q15_t)0x53dd, (q15_t)0x53ca, (q15_t)0x53b7, (q15_t)0x53a4, + (q15_t)0x5391, (q15_t)0x537e, (q15_t)0x536b, (q15_t)0x5358, (q15_t)0x5345, (q15_t)0x5332, (q15_t)0x531f, (q15_t)0x530c, + (q15_t)0x52f8, (q15_t)0x52e5, (q15_t)0x52d2, (q15_t)0x52bf, (q15_t)0x52ac, (q15_t)0x5299, (q15_t)0x5285, (q15_t)0x5272, + (q15_t)0x525f, (q15_t)0x524c, (q15_t)0x5238, (q15_t)0x5225, (q15_t)0x5212, (q15_t)0x51ff, (q15_t)0x51eb, (q15_t)0x51d8, + (q15_t)0x51c5, (q15_t)0x51b1, (q15_t)0x519e, (q15_t)0x518b, (q15_t)0x5177, (q15_t)0x5164, (q15_t)0x5150, (q15_t)0x513d, + (q15_t)0x512a, (q15_t)0x5116, (q15_t)0x5103, (q15_t)0x50ef, (q15_t)0x50dc, (q15_t)0x50c8, (q15_t)0x50b5, (q15_t)0x50a1, + (q15_t)0x508e, (q15_t)0x507a, (q15_t)0x5067, (q15_t)0x5053, (q15_t)0x503f, (q15_t)0x502c, (q15_t)0x5018, (q15_t)0x5005, + (q15_t)0x4ff1, (q15_t)0x4fdd, (q15_t)0x4fca, (q15_t)0x4fb6, (q15_t)0x4fa2, (q15_t)0x4f8f, (q15_t)0x4f7b, (q15_t)0x4f67, + (q15_t)0x4f54, (q15_t)0x4f40, (q15_t)0x4f2c, (q15_t)0x4f18, (q15_t)0x4f05, (q15_t)0x4ef1, (q15_t)0x4edd, (q15_t)0x4ec9, + (q15_t)0x4eb6, (q15_t)0x4ea2, (q15_t)0x4e8e, (q15_t)0x4e7a, (q15_t)0x4e66, (q15_t)0x4e52, (q15_t)0x4e3e, (q15_t)0x4e2a, + (q15_t)0x4e17, (q15_t)0x4e03, (q15_t)0x4def, (q15_t)0x4ddb, (q15_t)0x4dc7, (q15_t)0x4db3, (q15_t)0x4d9f, (q15_t)0x4d8b, + (q15_t)0x4d77, (q15_t)0x4d63, (q15_t)0x4d4f, (q15_t)0x4d3b, (q15_t)0x4d27, (q15_t)0x4d13, (q15_t)0x4cff, (q15_t)0x4ceb, + (q15_t)0x4cd6, (q15_t)0x4cc2, (q15_t)0x4cae, (q15_t)0x4c9a, (q15_t)0x4c86, (q15_t)0x4c72, (q15_t)0x4c5e, (q15_t)0x4c49, + (q15_t)0x4c35, (q15_t)0x4c21, (q15_t)0x4c0d, (q15_t)0x4bf9, (q15_t)0x4be4, (q15_t)0x4bd0, (q15_t)0x4bbc, (q15_t)0x4ba8, + (q15_t)0x4b93, (q15_t)0x4b7f, (q15_t)0x4b6b, (q15_t)0x4b56, (q15_t)0x4b42, (q15_t)0x4b2e, (q15_t)0x4b19, (q15_t)0x4b05, + (q15_t)0x4af1, (q15_t)0x4adc, (q15_t)0x4ac8, (q15_t)0x4ab4, (q15_t)0x4a9f, (q15_t)0x4a8b, (q15_t)0x4a76, (q15_t)0x4a62, + (q15_t)0x4a4d, (q15_t)0x4a39, (q15_t)0x4a24, (q15_t)0x4a10, (q15_t)0x49fb, (q15_t)0x49e7, (q15_t)0x49d2, (q15_t)0x49be, + (q15_t)0x49a9, (q15_t)0x4995, (q15_t)0x4980, (q15_t)0x496c, (q15_t)0x4957, (q15_t)0x4942, (q15_t)0x492e, (q15_t)0x4919, + (q15_t)0x4905, (q15_t)0x48f0, (q15_t)0x48db, (q15_t)0x48c7, (q15_t)0x48b2, (q15_t)0x489d, (q15_t)0x4888, (q15_t)0x4874, + (q15_t)0x485f, (q15_t)0x484a, (q15_t)0x4836, (q15_t)0x4821, (q15_t)0x480c, (q15_t)0x47f7, (q15_t)0x47e2, (q15_t)0x47ce, + (q15_t)0x47b9, (q15_t)0x47a4, (q15_t)0x478f, (q15_t)0x477a, (q15_t)0x4765, (q15_t)0x4751, (q15_t)0x473c, (q15_t)0x4727, + (q15_t)0x4712, (q15_t)0x46fd, (q15_t)0x46e8, (q15_t)0x46d3, (q15_t)0x46be, (q15_t)0x46a9, (q15_t)0x4694, (q15_t)0x467f, + (q15_t)0x466a, (q15_t)0x4655, (q15_t)0x4640, (q15_t)0x462b, (q15_t)0x4616, (q15_t)0x4601, (q15_t)0x45ec, (q15_t)0x45d7, + (q15_t)0x45c2, (q15_t)0x45ad, (q15_t)0x4598, (q15_t)0x4583, (q15_t)0x456e, (q15_t)0x4559, (q15_t)0x4544, (q15_t)0x452e, + (q15_t)0x4519, (q15_t)0x4504, (q15_t)0x44ef, (q15_t)0x44da, (q15_t)0x44c5, (q15_t)0x44af, (q15_t)0x449a, (q15_t)0x4485, + (q15_t)0x4470, (q15_t)0x445a, (q15_t)0x4445, (q15_t)0x4430, (q15_t)0x441b, (q15_t)0x4405, (q15_t)0x43f0, (q15_t)0x43db, + (q15_t)0x43c5, (q15_t)0x43b0, (q15_t)0x439b, (q15_t)0x4385, (q15_t)0x4370, (q15_t)0x435b, (q15_t)0x4345, (q15_t)0x4330, + (q15_t)0x431b, (q15_t)0x4305, (q15_t)0x42f0, (q15_t)0x42da, (q15_t)0x42c5, (q15_t)0x42af, (q15_t)0x429a, (q15_t)0x4284, + (q15_t)0x426f, (q15_t)0x425a, (q15_t)0x4244, (q15_t)0x422f, (q15_t)0x4219, (q15_t)0x4203, (q15_t)0x41ee, (q15_t)0x41d8, + (q15_t)0x41c3, (q15_t)0x41ad, (q15_t)0x4198, (q15_t)0x4182, (q15_t)0x416d, (q15_t)0x4157, (q15_t)0x4141, (q15_t)0x412c, + (q15_t)0x4116, (q15_t)0x4100, (q15_t)0x40eb, (q15_t)0x40d5, (q15_t)0x40bf, (q15_t)0x40aa, (q15_t)0x4094, (q15_t)0x407e, + (q15_t)0x4069, (q15_t)0x4053, (q15_t)0x403d, (q15_t)0x4027, (q15_t)0x4012, (q15_t)0x3ffc, (q15_t)0x3fe6, (q15_t)0x3fd0, + (q15_t)0x3fbb, (q15_t)0x3fa5, (q15_t)0x3f8f, (q15_t)0x3f79, (q15_t)0x3f63, (q15_t)0x3f4d, (q15_t)0x3f38, (q15_t)0x3f22, + (q15_t)0x3f0c, (q15_t)0x3ef6, (q15_t)0x3ee0, (q15_t)0x3eca, (q15_t)0x3eb4, (q15_t)0x3e9e, (q15_t)0x3e88, (q15_t)0x3e73, + (q15_t)0x3e5d, (q15_t)0x3e47, (q15_t)0x3e31, (q15_t)0x3e1b, (q15_t)0x3e05, (q15_t)0x3def, (q15_t)0x3dd9, (q15_t)0x3dc3, + (q15_t)0x3dad, (q15_t)0x3d97, (q15_t)0x3d81, (q15_t)0x3d6b, (q15_t)0x3d55, (q15_t)0x3d3e, (q15_t)0x3d28, (q15_t)0x3d12, + (q15_t)0x3cfc, (q15_t)0x3ce6, (q15_t)0x3cd0, (q15_t)0x3cba, (q15_t)0x3ca4, (q15_t)0x3c8e, (q15_t)0x3c77, (q15_t)0x3c61, + (q15_t)0x3c4b, (q15_t)0x3c35, (q15_t)0x3c1f, (q15_t)0x3c09, (q15_t)0x3bf2, (q15_t)0x3bdc, (q15_t)0x3bc6, (q15_t)0x3bb0, + (q15_t)0x3b99, (q15_t)0x3b83, (q15_t)0x3b6d, (q15_t)0x3b57, (q15_t)0x3b40, (q15_t)0x3b2a, (q15_t)0x3b14, (q15_t)0x3afe, + (q15_t)0x3ae7, (q15_t)0x3ad1, (q15_t)0x3abb, (q15_t)0x3aa4, (q15_t)0x3a8e, (q15_t)0x3a78, (q15_t)0x3a61, (q15_t)0x3a4b, + (q15_t)0x3a34, (q15_t)0x3a1e, (q15_t)0x3a08, (q15_t)0x39f1, (q15_t)0x39db, (q15_t)0x39c4, (q15_t)0x39ae, (q15_t)0x3998, + (q15_t)0x3981, (q15_t)0x396b, (q15_t)0x3954, (q15_t)0x393e, (q15_t)0x3927, (q15_t)0x3911, (q15_t)0x38fa, (q15_t)0x38e4, + (q15_t)0x38cd, (q15_t)0x38b7, (q15_t)0x38a0, (q15_t)0x388a, (q15_t)0x3873, (q15_t)0x385d, (q15_t)0x3846, (q15_t)0x382f, + (q15_t)0x3819, (q15_t)0x3802, (q15_t)0x37ec, (q15_t)0x37d5, (q15_t)0x37be, (q15_t)0x37a8, (q15_t)0x3791, (q15_t)0x377a, + (q15_t)0x3764, (q15_t)0x374d, (q15_t)0x3736, (q15_t)0x3720, (q15_t)0x3709, (q15_t)0x36f2, (q15_t)0x36dc, (q15_t)0x36c5, + (q15_t)0x36ae, (q15_t)0x3698, (q15_t)0x3681, (q15_t)0x366a, (q15_t)0x3653, (q15_t)0x363d, (q15_t)0x3626, (q15_t)0x360f, + (q15_t)0x35f8, (q15_t)0x35e1, (q15_t)0x35cb, (q15_t)0x35b4, (q15_t)0x359d, (q15_t)0x3586, (q15_t)0x356f, (q15_t)0x3558, + (q15_t)0x3542, (q15_t)0x352b, (q15_t)0x3514, (q15_t)0x34fd, (q15_t)0x34e6, (q15_t)0x34cf, (q15_t)0x34b8, (q15_t)0x34a1, + (q15_t)0x348b, (q15_t)0x3474, (q15_t)0x345d, (q15_t)0x3446, (q15_t)0x342f, (q15_t)0x3418, (q15_t)0x3401, (q15_t)0x33ea, + (q15_t)0x33d3, (q15_t)0x33bc, (q15_t)0x33a5, (q15_t)0x338e, (q15_t)0x3377, (q15_t)0x3360, (q15_t)0x3349, (q15_t)0x3332, + (q15_t)0x331b, (q15_t)0x3304, (q15_t)0x32ed, (q15_t)0x32d6, (q15_t)0x32bf, (q15_t)0x32a8, (q15_t)0x3290, (q15_t)0x3279, + (q15_t)0x3262, (q15_t)0x324b, (q15_t)0x3234, (q15_t)0x321d, (q15_t)0x3206, (q15_t)0x31ef, (q15_t)0x31d8, (q15_t)0x31c0, + (q15_t)0x31a9, (q15_t)0x3192, (q15_t)0x317b, (q15_t)0x3164, (q15_t)0x314c, (q15_t)0x3135, (q15_t)0x311e, (q15_t)0x3107, + (q15_t)0x30f0, (q15_t)0x30d8, (q15_t)0x30c1, (q15_t)0x30aa, (q15_t)0x3093, (q15_t)0x307b, (q15_t)0x3064, (q15_t)0x304d, + (q15_t)0x3036, (q15_t)0x301e, (q15_t)0x3007, (q15_t)0x2ff0, (q15_t)0x2fd8, (q15_t)0x2fc1, (q15_t)0x2faa, (q15_t)0x2f92, + (q15_t)0x2f7b, (q15_t)0x2f64, (q15_t)0x2f4c, (q15_t)0x2f35, (q15_t)0x2f1e, (q15_t)0x2f06, (q15_t)0x2eef, (q15_t)0x2ed8, + (q15_t)0x2ec0, (q15_t)0x2ea9, (q15_t)0x2e91, (q15_t)0x2e7a, (q15_t)0x2e63, (q15_t)0x2e4b, (q15_t)0x2e34, (q15_t)0x2e1c, + (q15_t)0x2e05, (q15_t)0x2ded, (q15_t)0x2dd6, (q15_t)0x2dbe, (q15_t)0x2da7, (q15_t)0x2d8f, (q15_t)0x2d78, (q15_t)0x2d60, + (q15_t)0x2d49, (q15_t)0x2d31, (q15_t)0x2d1a, (q15_t)0x2d02, (q15_t)0x2ceb, (q15_t)0x2cd3, (q15_t)0x2cbc, (q15_t)0x2ca4, + (q15_t)0x2c8d, (q15_t)0x2c75, (q15_t)0x2c5e, (q15_t)0x2c46, (q15_t)0x2c2e, (q15_t)0x2c17, (q15_t)0x2bff, (q15_t)0x2be8, + (q15_t)0x2bd0, (q15_t)0x2bb8, (q15_t)0x2ba1, (q15_t)0x2b89, (q15_t)0x2b71, (q15_t)0x2b5a, (q15_t)0x2b42, (q15_t)0x2b2b, + (q15_t)0x2b13, (q15_t)0x2afb, (q15_t)0x2ae4, (q15_t)0x2acc, (q15_t)0x2ab4, (q15_t)0x2a9c, (q15_t)0x2a85, (q15_t)0x2a6d, + (q15_t)0x2a55, (q15_t)0x2a3e, (q15_t)0x2a26, (q15_t)0x2a0e, (q15_t)0x29f6, (q15_t)0x29df, (q15_t)0x29c7, (q15_t)0x29af, + (q15_t)0x2997, (q15_t)0x2980, (q15_t)0x2968, (q15_t)0x2950, (q15_t)0x2938, (q15_t)0x2920, (q15_t)0x2909, (q15_t)0x28f1, + (q15_t)0x28d9, (q15_t)0x28c1, (q15_t)0x28a9, (q15_t)0x2892, (q15_t)0x287a, (q15_t)0x2862, (q15_t)0x284a, (q15_t)0x2832, + (q15_t)0x281a, (q15_t)0x2802, (q15_t)0x27eb, (q15_t)0x27d3, (q15_t)0x27bb, (q15_t)0x27a3, (q15_t)0x278b, (q15_t)0x2773, + (q15_t)0x275b, (q15_t)0x2743, (q15_t)0x272b, (q15_t)0x2713, (q15_t)0x26fb, (q15_t)0x26e4, (q15_t)0x26cc, (q15_t)0x26b4, + (q15_t)0x269c, (q15_t)0x2684, (q15_t)0x266c, (q15_t)0x2654, (q15_t)0x263c, (q15_t)0x2624, (q15_t)0x260c, (q15_t)0x25f4, + (q15_t)0x25dc, (q15_t)0x25c4, (q15_t)0x25ac, (q15_t)0x2594, (q15_t)0x257c, (q15_t)0x2564, (q15_t)0x254c, (q15_t)0x2534, + (q15_t)0x251c, (q15_t)0x2503, (q15_t)0x24eb, (q15_t)0x24d3, (q15_t)0x24bb, (q15_t)0x24a3, (q15_t)0x248b, (q15_t)0x2473, + (q15_t)0x245b, (q15_t)0x2443, (q15_t)0x242b, (q15_t)0x2413, (q15_t)0x23fa, (q15_t)0x23e2, (q15_t)0x23ca, (q15_t)0x23b2, + (q15_t)0x239a, (q15_t)0x2382, (q15_t)0x236a, (q15_t)0x2352, (q15_t)0x2339, (q15_t)0x2321, (q15_t)0x2309, (q15_t)0x22f1, + (q15_t)0x22d9, (q15_t)0x22c0, (q15_t)0x22a8, (q15_t)0x2290, (q15_t)0x2278, (q15_t)0x2260, (q15_t)0x2247, (q15_t)0x222f, + (q15_t)0x2217, (q15_t)0x21ff, (q15_t)0x21e7, (q15_t)0x21ce, (q15_t)0x21b6, (q15_t)0x219e, (q15_t)0x2186, (q15_t)0x216d, + (q15_t)0x2155, (q15_t)0x213d, (q15_t)0x2125, (q15_t)0x210c, (q15_t)0x20f4, (q15_t)0x20dc, (q15_t)0x20c3, (q15_t)0x20ab, + (q15_t)0x2093, (q15_t)0x207a, (q15_t)0x2062, (q15_t)0x204a, (q15_t)0x2032, (q15_t)0x2019, (q15_t)0x2001, (q15_t)0x1fe9, + (q15_t)0x1fd0, (q15_t)0x1fb8, (q15_t)0x1f9f, (q15_t)0x1f87, (q15_t)0x1f6f, (q15_t)0x1f56, (q15_t)0x1f3e, (q15_t)0x1f26, + (q15_t)0x1f0d, (q15_t)0x1ef5, (q15_t)0x1edd, (q15_t)0x1ec4, (q15_t)0x1eac, (q15_t)0x1e93, (q15_t)0x1e7b, (q15_t)0x1e62, + (q15_t)0x1e4a, (q15_t)0x1e32, (q15_t)0x1e19, (q15_t)0x1e01, (q15_t)0x1de8, (q15_t)0x1dd0, (q15_t)0x1db7, (q15_t)0x1d9f, + (q15_t)0x1d87, (q15_t)0x1d6e, (q15_t)0x1d56, (q15_t)0x1d3d, (q15_t)0x1d25, (q15_t)0x1d0c, (q15_t)0x1cf4, (q15_t)0x1cdb, + (q15_t)0x1cc3, (q15_t)0x1caa, (q15_t)0x1c92, (q15_t)0x1c79, (q15_t)0x1c61, (q15_t)0x1c48, (q15_t)0x1c30, (q15_t)0x1c17, + (q15_t)0x1bff, (q15_t)0x1be6, (q15_t)0x1bce, (q15_t)0x1bb5, (q15_t)0x1b9d, (q15_t)0x1b84, (q15_t)0x1b6c, (q15_t)0x1b53, + (q15_t)0x1b3a, (q15_t)0x1b22, (q15_t)0x1b09, (q15_t)0x1af1, (q15_t)0x1ad8, (q15_t)0x1ac0, (q15_t)0x1aa7, (q15_t)0x1a8e, + (q15_t)0x1a76, (q15_t)0x1a5d, (q15_t)0x1a45, (q15_t)0x1a2c, (q15_t)0x1a13, (q15_t)0x19fb, (q15_t)0x19e2, (q15_t)0x19ca, + (q15_t)0x19b1, (q15_t)0x1998, (q15_t)0x1980, (q15_t)0x1967, (q15_t)0x194e, (q15_t)0x1936, (q15_t)0x191d, (q15_t)0x1905, + (q15_t)0x18ec, (q15_t)0x18d3, (q15_t)0x18bb, (q15_t)0x18a2, (q15_t)0x1889, (q15_t)0x1871, (q15_t)0x1858, (q15_t)0x183f, + (q15_t)0x1827, (q15_t)0x180e, (q15_t)0x17f5, (q15_t)0x17dd, (q15_t)0x17c4, (q15_t)0x17ab, (q15_t)0x1792, (q15_t)0x177a, + (q15_t)0x1761, (q15_t)0x1748, (q15_t)0x1730, (q15_t)0x1717, (q15_t)0x16fe, (q15_t)0x16e5, (q15_t)0x16cd, (q15_t)0x16b4, + (q15_t)0x169b, (q15_t)0x1682, (q15_t)0x166a, (q15_t)0x1651, (q15_t)0x1638, (q15_t)0x161f, (q15_t)0x1607, (q15_t)0x15ee, + (q15_t)0x15d5, (q15_t)0x15bc, (q15_t)0x15a4, (q15_t)0x158b, (q15_t)0x1572, (q15_t)0x1559, (q15_t)0x1541, (q15_t)0x1528, + (q15_t)0x150f, (q15_t)0x14f6, (q15_t)0x14dd, (q15_t)0x14c5, (q15_t)0x14ac, (q15_t)0x1493, (q15_t)0x147a, (q15_t)0x1461, + (q15_t)0x1449, (q15_t)0x1430, (q15_t)0x1417, (q15_t)0x13fe, (q15_t)0x13e5, (q15_t)0x13cc, (q15_t)0x13b4, (q15_t)0x139b, + (q15_t)0x1382, (q15_t)0x1369, (q15_t)0x1350, (q15_t)0x1337, (q15_t)0x131f, (q15_t)0x1306, (q15_t)0x12ed, (q15_t)0x12d4, + (q15_t)0x12bb, (q15_t)0x12a2, (q15_t)0x1289, (q15_t)0x1271, (q15_t)0x1258, (q15_t)0x123f, (q15_t)0x1226, (q15_t)0x120d, + (q15_t)0x11f4, (q15_t)0x11db, (q15_t)0x11c2, (q15_t)0x11a9, (q15_t)0x1191, (q15_t)0x1178, (q15_t)0x115f, (q15_t)0x1146, + (q15_t)0x112d, (q15_t)0x1114, (q15_t)0x10fb, (q15_t)0x10e2, (q15_t)0x10c9, (q15_t)0x10b0, (q15_t)0x1098, (q15_t)0x107f, + (q15_t)0x1066, (q15_t)0x104d, (q15_t)0x1034, (q15_t)0x101b, (q15_t)0x1002, (q15_t)0xfe9, (q15_t)0xfd0, (q15_t)0xfb7, + (q15_t)0xf9e, (q15_t)0xf85, (q15_t)0xf6c, (q15_t)0xf53, (q15_t)0xf3a, (q15_t)0xf21, (q15_t)0xf08, (q15_t)0xef0, + (q15_t)0xed7, (q15_t)0xebe, (q15_t)0xea5, (q15_t)0xe8c, (q15_t)0xe73, (q15_t)0xe5a, (q15_t)0xe41, (q15_t)0xe28, + (q15_t)0xe0f, (q15_t)0xdf6, (q15_t)0xddd, (q15_t)0xdc4, (q15_t)0xdab, (q15_t)0xd92, (q15_t)0xd79, (q15_t)0xd60, + (q15_t)0xd47, (q15_t)0xd2e, (q15_t)0xd15, (q15_t)0xcfc, (q15_t)0xce3, (q15_t)0xcca, (q15_t)0xcb1, (q15_t)0xc98, + (q15_t)0xc7f, (q15_t)0xc66, (q15_t)0xc4d, (q15_t)0xc34, (q15_t)0xc1b, (q15_t)0xc02, (q15_t)0xbe9, (q15_t)0xbd0, + (q15_t)0xbb7, (q15_t)0xb9e, (q15_t)0xb85, (q15_t)0xb6c, (q15_t)0xb53, (q15_t)0xb3a, (q15_t)0xb20, (q15_t)0xb07, + (q15_t)0xaee, (q15_t)0xad5, (q15_t)0xabc, (q15_t)0xaa3, (q15_t)0xa8a, (q15_t)0xa71, (q15_t)0xa58, (q15_t)0xa3f, + (q15_t)0xa26, (q15_t)0xa0d, (q15_t)0x9f4, (q15_t)0x9db, (q15_t)0x9c2, (q15_t)0x9a9, (q15_t)0x990, (q15_t)0x977, + (q15_t)0x95e, (q15_t)0x944, (q15_t)0x92b, (q15_t)0x912, (q15_t)0x8f9, (q15_t)0x8e0, (q15_t)0x8c7, (q15_t)0x8ae, + (q15_t)0x895, (q15_t)0x87c, (q15_t)0x863, (q15_t)0x84a, (q15_t)0x831, (q15_t)0x818, (q15_t)0x7fe, (q15_t)0x7e5, + (q15_t)0x7cc, (q15_t)0x7b3, (q15_t)0x79a, (q15_t)0x781, (q15_t)0x768, (q15_t)0x74f, (q15_t)0x736, (q15_t)0x71d, + (q15_t)0x704, (q15_t)0x6ea, (q15_t)0x6d1, (q15_t)0x6b8, (q15_t)0x69f, (q15_t)0x686, (q15_t)0x66d, (q15_t)0x654, + (q15_t)0x63b, (q15_t)0x622, (q15_t)0x609, (q15_t)0x5ef, (q15_t)0x5d6, (q15_t)0x5bd, (q15_t)0x5a4, (q15_t)0x58b, + (q15_t)0x572, (q15_t)0x559, (q15_t)0x540, (q15_t)0x527, (q15_t)0x50d, (q15_t)0x4f4, (q15_t)0x4db, (q15_t)0x4c2, + (q15_t)0x4a9, (q15_t)0x490, (q15_t)0x477, (q15_t)0x45e, (q15_t)0x445, (q15_t)0x42b, (q15_t)0x412, (q15_t)0x3f9, + (q15_t)0x3e0, (q15_t)0x3c7, (q15_t)0x3ae, (q15_t)0x395, (q15_t)0x37c, (q15_t)0x362, (q15_t)0x349, (q15_t)0x330, + (q15_t)0x317, (q15_t)0x2fe, (q15_t)0x2e5, (q15_t)0x2cc, (q15_t)0x2b3, (q15_t)0x299, (q15_t)0x280, (q15_t)0x267, + (q15_t)0x24e, (q15_t)0x235, (q15_t)0x21c, (q15_t)0x203, (q15_t)0x1ea, (q15_t)0x1d0, (q15_t)0x1b7, (q15_t)0x19e, + (q15_t)0x185, (q15_t)0x16c, (q15_t)0x153, (q15_t)0x13a, (q15_t)0x121, (q15_t)0x107, (q15_t)0xee, (q15_t)0xd5, + (q15_t)0xbc, (q15_t)0xa3, (q15_t)0x8a, (q15_t)0x71, (q15_t)0x57, (q15_t)0x3e, (q15_t)0x25, (q15_t)0xc + +}; + +static const q15_t ALIGN4 cos_factorsQ15_8192[8192] = { + (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, + (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, + (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, + (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, + (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, (q15_t)0x7fff, + (q15_t)0x7fff, (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffe, + (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffe, + (q15_t)0x7ffe, (q15_t)0x7ffe, (q15_t)0x7ffd, (q15_t)0x7ffd, (q15_t)0x7ffd, (q15_t)0x7ffd, (q15_t)0x7ffd, (q15_t)0x7ffd, + (q15_t)0x7ffd, (q15_t)0x7ffd, (q15_t)0x7ffd, (q15_t)0x7ffd, (q15_t)0x7ffd, (q15_t)0x7ffd, (q15_t)0x7ffd, (q15_t)0x7ffc, + (q15_t)0x7ffc, (q15_t)0x7ffc, (q15_t)0x7ffc, (q15_t)0x7ffc, (q15_t)0x7ffc, (q15_t)0x7ffc, (q15_t)0x7ffc, (q15_t)0x7ffc, + (q15_t)0x7ffc, (q15_t)0x7ffb, (q15_t)0x7ffb, (q15_t)0x7ffb, (q15_t)0x7ffb, (q15_t)0x7ffb, (q15_t)0x7ffb, (q15_t)0x7ffb, + (q15_t)0x7ffb, (q15_t)0x7ffb, (q15_t)0x7ffb, (q15_t)0x7ffa, (q15_t)0x7ffa, (q15_t)0x7ffa, (q15_t)0x7ffa, (q15_t)0x7ffa, + (q15_t)0x7ffa, (q15_t)0x7ffa, (q15_t)0x7ffa, (q15_t)0x7ffa, (q15_t)0x7ff9, (q15_t)0x7ff9, (q15_t)0x7ff9, (q15_t)0x7ff9, + (q15_t)0x7ff9, (q15_t)0x7ff9, (q15_t)0x7ff9, (q15_t)0x7ff9, (q15_t)0x7ff8, (q15_t)0x7ff8, (q15_t)0x7ff8, (q15_t)0x7ff8, + (q15_t)0x7ff8, (q15_t)0x7ff8, (q15_t)0x7ff8, (q15_t)0x7ff7, (q15_t)0x7ff7, (q15_t)0x7ff7, (q15_t)0x7ff7, (q15_t)0x7ff7, + (q15_t)0x7ff7, (q15_t)0x7ff7, (q15_t)0x7ff6, (q15_t)0x7ff6, (q15_t)0x7ff6, (q15_t)0x7ff6, (q15_t)0x7ff6, (q15_t)0x7ff6, + (q15_t)0x7ff6, (q15_t)0x7ff5, (q15_t)0x7ff5, (q15_t)0x7ff5, (q15_t)0x7ff5, (q15_t)0x7ff5, (q15_t)0x7ff5, (q15_t)0x7ff4, + (q15_t)0x7ff4, (q15_t)0x7ff4, (q15_t)0x7ff4, (q15_t)0x7ff4, (q15_t)0x7ff4, (q15_t)0x7ff3, (q15_t)0x7ff3, (q15_t)0x7ff3, + (q15_t)0x7ff3, (q15_t)0x7ff3, (q15_t)0x7ff3, (q15_t)0x7ff2, (q15_t)0x7ff2, (q15_t)0x7ff2, (q15_t)0x7ff2, (q15_t)0x7ff2, + (q15_t)0x7ff1, (q15_t)0x7ff1, (q15_t)0x7ff1, (q15_t)0x7ff1, (q15_t)0x7ff1, (q15_t)0x7ff1, (q15_t)0x7ff0, (q15_t)0x7ff0, + (q15_t)0x7ff0, (q15_t)0x7ff0, (q15_t)0x7ff0, (q15_t)0x7fef, (q15_t)0x7fef, (q15_t)0x7fef, (q15_t)0x7fef, (q15_t)0x7fef, + (q15_t)0x7fee, (q15_t)0x7fee, (q15_t)0x7fee, (q15_t)0x7fee, (q15_t)0x7fee, (q15_t)0x7fed, (q15_t)0x7fed, (q15_t)0x7fed, + (q15_t)0x7fed, (q15_t)0x7fed, (q15_t)0x7fec, (q15_t)0x7fec, (q15_t)0x7fec, (q15_t)0x7fec, (q15_t)0x7feb, (q15_t)0x7feb, + (q15_t)0x7feb, (q15_t)0x7feb, (q15_t)0x7feb, (q15_t)0x7fea, (q15_t)0x7fea, (q15_t)0x7fea, (q15_t)0x7fea, (q15_t)0x7fe9, + (q15_t)0x7fe9, (q15_t)0x7fe9, (q15_t)0x7fe9, (q15_t)0x7fe8, (q15_t)0x7fe8, (q15_t)0x7fe8, (q15_t)0x7fe8, (q15_t)0x7fe8, + (q15_t)0x7fe7, (q15_t)0x7fe7, (q15_t)0x7fe7, (q15_t)0x7fe7, (q15_t)0x7fe6, (q15_t)0x7fe6, (q15_t)0x7fe6, (q15_t)0x7fe6, + (q15_t)0x7fe5, (q15_t)0x7fe5, (q15_t)0x7fe5, (q15_t)0x7fe5, (q15_t)0x7fe4, (q15_t)0x7fe4, (q15_t)0x7fe4, (q15_t)0x7fe4, + (q15_t)0x7fe3, (q15_t)0x7fe3, (q15_t)0x7fe3, (q15_t)0x7fe2, (q15_t)0x7fe2, (q15_t)0x7fe2, (q15_t)0x7fe2, (q15_t)0x7fe1, + (q15_t)0x7fe1, (q15_t)0x7fe1, (q15_t)0x7fe1, (q15_t)0x7fe0, (q15_t)0x7fe0, (q15_t)0x7fe0, (q15_t)0x7fdf, (q15_t)0x7fdf, + (q15_t)0x7fdf, (q15_t)0x7fdf, (q15_t)0x7fde, (q15_t)0x7fde, (q15_t)0x7fde, (q15_t)0x7fde, (q15_t)0x7fdd, (q15_t)0x7fdd, + (q15_t)0x7fdd, (q15_t)0x7fdc, (q15_t)0x7fdc, (q15_t)0x7fdc, (q15_t)0x7fdb, (q15_t)0x7fdb, (q15_t)0x7fdb, (q15_t)0x7fdb, + (q15_t)0x7fda, (q15_t)0x7fda, (q15_t)0x7fda, (q15_t)0x7fd9, (q15_t)0x7fd9, (q15_t)0x7fd9, (q15_t)0x7fd8, (q15_t)0x7fd8, + (q15_t)0x7fd8, (q15_t)0x7fd8, (q15_t)0x7fd7, (q15_t)0x7fd7, (q15_t)0x7fd7, (q15_t)0x7fd6, (q15_t)0x7fd6, (q15_t)0x7fd6, + (q15_t)0x7fd5, (q15_t)0x7fd5, (q15_t)0x7fd5, (q15_t)0x7fd4, (q15_t)0x7fd4, (q15_t)0x7fd4, (q15_t)0x7fd3, (q15_t)0x7fd3, + (q15_t)0x7fd3, (q15_t)0x7fd2, (q15_t)0x7fd2, (q15_t)0x7fd2, (q15_t)0x7fd1, (q15_t)0x7fd1, (q15_t)0x7fd1, (q15_t)0x7fd0, + (q15_t)0x7fd0, (q15_t)0x7fd0, (q15_t)0x7fcf, (q15_t)0x7fcf, (q15_t)0x7fcf, (q15_t)0x7fce, (q15_t)0x7fce, (q15_t)0x7fce, + (q15_t)0x7fcd, (q15_t)0x7fcd, (q15_t)0x7fcd, (q15_t)0x7fcc, (q15_t)0x7fcc, (q15_t)0x7fcc, (q15_t)0x7fcb, (q15_t)0x7fcb, + (q15_t)0x7fcb, (q15_t)0x7fca, (q15_t)0x7fca, (q15_t)0x7fc9, (q15_t)0x7fc9, (q15_t)0x7fc9, (q15_t)0x7fc8, (q15_t)0x7fc8, + (q15_t)0x7fc8, (q15_t)0x7fc7, (q15_t)0x7fc7, (q15_t)0x7fc7, (q15_t)0x7fc6, (q15_t)0x7fc6, (q15_t)0x7fc5, (q15_t)0x7fc5, + (q15_t)0x7fc5, (q15_t)0x7fc4, (q15_t)0x7fc4, (q15_t)0x7fc4, (q15_t)0x7fc3, (q15_t)0x7fc3, (q15_t)0x7fc2, (q15_t)0x7fc2, + (q15_t)0x7fc2, (q15_t)0x7fc1, (q15_t)0x7fc1, (q15_t)0x7fc0, (q15_t)0x7fc0, (q15_t)0x7fc0, (q15_t)0x7fbf, (q15_t)0x7fbf, + (q15_t)0x7fbf, (q15_t)0x7fbe, (q15_t)0x7fbe, (q15_t)0x7fbd, (q15_t)0x7fbd, (q15_t)0x7fbd, (q15_t)0x7fbc, (q15_t)0x7fbc, + (q15_t)0x7fbb, (q15_t)0x7fbb, (q15_t)0x7fbb, (q15_t)0x7fba, (q15_t)0x7fba, (q15_t)0x7fb9, (q15_t)0x7fb9, (q15_t)0x7fb8, + (q15_t)0x7fb8, (q15_t)0x7fb8, (q15_t)0x7fb7, (q15_t)0x7fb7, (q15_t)0x7fb6, (q15_t)0x7fb6, (q15_t)0x7fb6, (q15_t)0x7fb5, + (q15_t)0x7fb5, (q15_t)0x7fb4, (q15_t)0x7fb4, (q15_t)0x7fb3, (q15_t)0x7fb3, (q15_t)0x7fb3, (q15_t)0x7fb2, (q15_t)0x7fb2, + (q15_t)0x7fb1, (q15_t)0x7fb1, (q15_t)0x7fb0, (q15_t)0x7fb0, (q15_t)0x7faf, (q15_t)0x7faf, (q15_t)0x7faf, (q15_t)0x7fae, + (q15_t)0x7fae, (q15_t)0x7fad, (q15_t)0x7fad, (q15_t)0x7fac, (q15_t)0x7fac, (q15_t)0x7fac, (q15_t)0x7fab, (q15_t)0x7fab, + (q15_t)0x7faa, (q15_t)0x7faa, (q15_t)0x7fa9, (q15_t)0x7fa9, (q15_t)0x7fa8, (q15_t)0x7fa8, (q15_t)0x7fa7, (q15_t)0x7fa7, + (q15_t)0x7fa6, (q15_t)0x7fa6, (q15_t)0x7fa6, (q15_t)0x7fa5, (q15_t)0x7fa5, (q15_t)0x7fa4, (q15_t)0x7fa4, (q15_t)0x7fa3, + (q15_t)0x7fa3, (q15_t)0x7fa2, (q15_t)0x7fa2, (q15_t)0x7fa1, (q15_t)0x7fa1, (q15_t)0x7fa0, (q15_t)0x7fa0, (q15_t)0x7f9f, + (q15_t)0x7f9f, (q15_t)0x7f9e, (q15_t)0x7f9e, (q15_t)0x7f9d, (q15_t)0x7f9d, (q15_t)0x7f9c, (q15_t)0x7f9c, (q15_t)0x7f9c, + (q15_t)0x7f9b, (q15_t)0x7f9b, (q15_t)0x7f9a, (q15_t)0x7f9a, (q15_t)0x7f99, (q15_t)0x7f99, (q15_t)0x7f98, (q15_t)0x7f98, + (q15_t)0x7f97, (q15_t)0x7f97, (q15_t)0x7f96, (q15_t)0x7f96, (q15_t)0x7f95, (q15_t)0x7f95, (q15_t)0x7f94, (q15_t)0x7f94, + (q15_t)0x7f93, (q15_t)0x7f92, (q15_t)0x7f92, (q15_t)0x7f91, (q15_t)0x7f91, (q15_t)0x7f90, (q15_t)0x7f90, (q15_t)0x7f8f, + (q15_t)0x7f8f, (q15_t)0x7f8e, (q15_t)0x7f8e, (q15_t)0x7f8d, (q15_t)0x7f8d, (q15_t)0x7f8c, (q15_t)0x7f8c, (q15_t)0x7f8b, + (q15_t)0x7f8b, (q15_t)0x7f8a, (q15_t)0x7f8a, (q15_t)0x7f89, (q15_t)0x7f89, (q15_t)0x7f88, (q15_t)0x7f87, (q15_t)0x7f87, + (q15_t)0x7f86, (q15_t)0x7f86, (q15_t)0x7f85, (q15_t)0x7f85, (q15_t)0x7f84, (q15_t)0x7f84, (q15_t)0x7f83, (q15_t)0x7f83, + (q15_t)0x7f82, (q15_t)0x7f81, (q15_t)0x7f81, (q15_t)0x7f80, (q15_t)0x7f80, (q15_t)0x7f7f, (q15_t)0x7f7f, (q15_t)0x7f7e, + (q15_t)0x7f7e, (q15_t)0x7f7d, (q15_t)0x7f7c, (q15_t)0x7f7c, (q15_t)0x7f7b, (q15_t)0x7f7b, (q15_t)0x7f7a, (q15_t)0x7f7a, + (q15_t)0x7f79, (q15_t)0x7f79, (q15_t)0x7f78, (q15_t)0x7f77, (q15_t)0x7f77, (q15_t)0x7f76, (q15_t)0x7f76, (q15_t)0x7f75, + (q15_t)0x7f75, (q15_t)0x7f74, (q15_t)0x7f73, (q15_t)0x7f73, (q15_t)0x7f72, (q15_t)0x7f72, (q15_t)0x7f71, (q15_t)0x7f70, + (q15_t)0x7f70, (q15_t)0x7f6f, (q15_t)0x7f6f, (q15_t)0x7f6e, (q15_t)0x7f6d, (q15_t)0x7f6d, (q15_t)0x7f6c, (q15_t)0x7f6c, + (q15_t)0x7f6b, (q15_t)0x7f6b, (q15_t)0x7f6a, (q15_t)0x7f69, (q15_t)0x7f69, (q15_t)0x7f68, (q15_t)0x7f68, (q15_t)0x7f67, + (q15_t)0x7f66, (q15_t)0x7f66, (q15_t)0x7f65, (q15_t)0x7f64, (q15_t)0x7f64, (q15_t)0x7f63, (q15_t)0x7f63, (q15_t)0x7f62, + (q15_t)0x7f61, (q15_t)0x7f61, (q15_t)0x7f60, (q15_t)0x7f60, (q15_t)0x7f5f, (q15_t)0x7f5e, (q15_t)0x7f5e, (q15_t)0x7f5d, + (q15_t)0x7f5c, (q15_t)0x7f5c, (q15_t)0x7f5b, (q15_t)0x7f5b, (q15_t)0x7f5a, (q15_t)0x7f59, (q15_t)0x7f59, (q15_t)0x7f58, + (q15_t)0x7f57, (q15_t)0x7f57, (q15_t)0x7f56, (q15_t)0x7f55, (q15_t)0x7f55, (q15_t)0x7f54, (q15_t)0x7f54, (q15_t)0x7f53, + (q15_t)0x7f52, (q15_t)0x7f52, (q15_t)0x7f51, (q15_t)0x7f50, (q15_t)0x7f50, (q15_t)0x7f4f, (q15_t)0x7f4e, (q15_t)0x7f4e, + (q15_t)0x7f4d, (q15_t)0x7f4c, (q15_t)0x7f4c, (q15_t)0x7f4b, (q15_t)0x7f4a, (q15_t)0x7f4a, (q15_t)0x7f49, (q15_t)0x7f48, + (q15_t)0x7f48, (q15_t)0x7f47, (q15_t)0x7f46, (q15_t)0x7f46, (q15_t)0x7f45, (q15_t)0x7f44, (q15_t)0x7f44, (q15_t)0x7f43, + (q15_t)0x7f42, (q15_t)0x7f42, (q15_t)0x7f41, (q15_t)0x7f40, (q15_t)0x7f40, (q15_t)0x7f3f, (q15_t)0x7f3e, (q15_t)0x7f3e, + (q15_t)0x7f3d, (q15_t)0x7f3c, (q15_t)0x7f3c, (q15_t)0x7f3b, (q15_t)0x7f3a, (q15_t)0x7f3a, (q15_t)0x7f39, (q15_t)0x7f38, + (q15_t)0x7f37, (q15_t)0x7f37, (q15_t)0x7f36, (q15_t)0x7f35, (q15_t)0x7f35, (q15_t)0x7f34, (q15_t)0x7f33, (q15_t)0x7f33, + (q15_t)0x7f32, (q15_t)0x7f31, (q15_t)0x7f31, (q15_t)0x7f30, (q15_t)0x7f2f, (q15_t)0x7f2e, (q15_t)0x7f2e, (q15_t)0x7f2d, + (q15_t)0x7f2c, (q15_t)0x7f2c, (q15_t)0x7f2b, (q15_t)0x7f2a, (q15_t)0x7f29, (q15_t)0x7f29, (q15_t)0x7f28, (q15_t)0x7f27, + (q15_t)0x7f27, (q15_t)0x7f26, (q15_t)0x7f25, (q15_t)0x7f24, (q15_t)0x7f24, (q15_t)0x7f23, (q15_t)0x7f22, (q15_t)0x7f21, + (q15_t)0x7f21, (q15_t)0x7f20, (q15_t)0x7f1f, (q15_t)0x7f1f, (q15_t)0x7f1e, (q15_t)0x7f1d, (q15_t)0x7f1c, (q15_t)0x7f1c, + (q15_t)0x7f1b, (q15_t)0x7f1a, (q15_t)0x7f19, (q15_t)0x7f19, (q15_t)0x7f18, (q15_t)0x7f17, (q15_t)0x7f16, (q15_t)0x7f16, + (q15_t)0x7f15, (q15_t)0x7f14, (q15_t)0x7f13, (q15_t)0x7f13, (q15_t)0x7f12, (q15_t)0x7f11, (q15_t)0x7f10, (q15_t)0x7f10, + (q15_t)0x7f0f, (q15_t)0x7f0e, (q15_t)0x7f0d, (q15_t)0x7f0d, (q15_t)0x7f0c, (q15_t)0x7f0b, (q15_t)0x7f0a, (q15_t)0x7f09, + (q15_t)0x7f09, (q15_t)0x7f08, (q15_t)0x7f07, (q15_t)0x7f06, (q15_t)0x7f06, (q15_t)0x7f05, (q15_t)0x7f04, (q15_t)0x7f03, + (q15_t)0x7f02, (q15_t)0x7f02, (q15_t)0x7f01, (q15_t)0x7f00, (q15_t)0x7eff, (q15_t)0x7eff, (q15_t)0x7efe, (q15_t)0x7efd, + (q15_t)0x7efc, (q15_t)0x7efb, (q15_t)0x7efb, (q15_t)0x7efa, (q15_t)0x7ef9, (q15_t)0x7ef8, (q15_t)0x7ef7, (q15_t)0x7ef7, + (q15_t)0x7ef6, (q15_t)0x7ef5, (q15_t)0x7ef4, (q15_t)0x7ef3, (q15_t)0x7ef3, (q15_t)0x7ef2, (q15_t)0x7ef1, (q15_t)0x7ef0, + (q15_t)0x7eef, (q15_t)0x7eef, (q15_t)0x7eee, (q15_t)0x7eed, (q15_t)0x7eec, (q15_t)0x7eeb, (q15_t)0x7eeb, (q15_t)0x7eea, + (q15_t)0x7ee9, (q15_t)0x7ee8, (q15_t)0x7ee7, (q15_t)0x7ee6, (q15_t)0x7ee6, (q15_t)0x7ee5, (q15_t)0x7ee4, (q15_t)0x7ee3, + (q15_t)0x7ee2, (q15_t)0x7ee2, (q15_t)0x7ee1, (q15_t)0x7ee0, (q15_t)0x7edf, (q15_t)0x7ede, (q15_t)0x7edd, (q15_t)0x7edd, + (q15_t)0x7edc, (q15_t)0x7edb, (q15_t)0x7eda, (q15_t)0x7ed9, (q15_t)0x7ed8, (q15_t)0x7ed8, (q15_t)0x7ed7, (q15_t)0x7ed6, + (q15_t)0x7ed5, (q15_t)0x7ed4, (q15_t)0x7ed3, (q15_t)0x7ed2, (q15_t)0x7ed2, (q15_t)0x7ed1, (q15_t)0x7ed0, (q15_t)0x7ecf, + (q15_t)0x7ece, (q15_t)0x7ecd, (q15_t)0x7ecc, (q15_t)0x7ecc, (q15_t)0x7ecb, (q15_t)0x7eca, (q15_t)0x7ec9, (q15_t)0x7ec8, + (q15_t)0x7ec7, (q15_t)0x7ec6, (q15_t)0x7ec6, (q15_t)0x7ec5, (q15_t)0x7ec4, (q15_t)0x7ec3, (q15_t)0x7ec2, (q15_t)0x7ec1, + (q15_t)0x7ec0, (q15_t)0x7ebf, (q15_t)0x7ebf, (q15_t)0x7ebe, (q15_t)0x7ebd, (q15_t)0x7ebc, (q15_t)0x7ebb, (q15_t)0x7eba, + (q15_t)0x7eb9, (q15_t)0x7eb8, (q15_t)0x7eb8, (q15_t)0x7eb7, (q15_t)0x7eb6, (q15_t)0x7eb5, (q15_t)0x7eb4, (q15_t)0x7eb3, + (q15_t)0x7eb2, (q15_t)0x7eb1, (q15_t)0x7eb0, (q15_t)0x7eaf, (q15_t)0x7eaf, (q15_t)0x7eae, (q15_t)0x7ead, (q15_t)0x7eac, + (q15_t)0x7eab, (q15_t)0x7eaa, (q15_t)0x7ea9, (q15_t)0x7ea8, (q15_t)0x7ea7, (q15_t)0x7ea6, (q15_t)0x7ea6, (q15_t)0x7ea5, + (q15_t)0x7ea4, (q15_t)0x7ea3, (q15_t)0x7ea2, (q15_t)0x7ea1, (q15_t)0x7ea0, (q15_t)0x7e9f, (q15_t)0x7e9e, (q15_t)0x7e9d, + (q15_t)0x7e9c, (q15_t)0x7e9b, (q15_t)0x7e9b, (q15_t)0x7e9a, (q15_t)0x7e99, (q15_t)0x7e98, (q15_t)0x7e97, (q15_t)0x7e96, + (q15_t)0x7e95, (q15_t)0x7e94, (q15_t)0x7e93, (q15_t)0x7e92, (q15_t)0x7e91, (q15_t)0x7e90, (q15_t)0x7e8f, (q15_t)0x7e8e, + (q15_t)0x7e8d, (q15_t)0x7e8d, (q15_t)0x7e8c, (q15_t)0x7e8b, (q15_t)0x7e8a, (q15_t)0x7e89, (q15_t)0x7e88, (q15_t)0x7e87, + (q15_t)0x7e86, (q15_t)0x7e85, (q15_t)0x7e84, (q15_t)0x7e83, (q15_t)0x7e82, (q15_t)0x7e81, (q15_t)0x7e80, (q15_t)0x7e7f, + (q15_t)0x7e7e, (q15_t)0x7e7d, (q15_t)0x7e7c, (q15_t)0x7e7b, (q15_t)0x7e7a, (q15_t)0x7e79, (q15_t)0x7e78, (q15_t)0x7e77, + (q15_t)0x7e77, (q15_t)0x7e76, (q15_t)0x7e75, (q15_t)0x7e74, (q15_t)0x7e73, (q15_t)0x7e72, (q15_t)0x7e71, (q15_t)0x7e70, + (q15_t)0x7e6f, (q15_t)0x7e6e, (q15_t)0x7e6d, (q15_t)0x7e6c, (q15_t)0x7e6b, (q15_t)0x7e6a, (q15_t)0x7e69, (q15_t)0x7e68, + (q15_t)0x7e67, (q15_t)0x7e66, (q15_t)0x7e65, (q15_t)0x7e64, (q15_t)0x7e63, (q15_t)0x7e62, (q15_t)0x7e61, (q15_t)0x7e60, + (q15_t)0x7e5f, (q15_t)0x7e5e, (q15_t)0x7e5d, (q15_t)0x7e5c, (q15_t)0x7e5b, (q15_t)0x7e5a, (q15_t)0x7e59, (q15_t)0x7e58, + (q15_t)0x7e57, (q15_t)0x7e56, (q15_t)0x7e55, (q15_t)0x7e54, (q15_t)0x7e53, (q15_t)0x7e52, (q15_t)0x7e51, (q15_t)0x7e50, + (q15_t)0x7e4f, (q15_t)0x7e4e, (q15_t)0x7e4d, (q15_t)0x7e4c, (q15_t)0x7e4b, (q15_t)0x7e4a, (q15_t)0x7e49, (q15_t)0x7e48, + (q15_t)0x7e47, (q15_t)0x7e46, (q15_t)0x7e45, (q15_t)0x7e43, (q15_t)0x7e42, (q15_t)0x7e41, (q15_t)0x7e40, (q15_t)0x7e3f, + (q15_t)0x7e3e, (q15_t)0x7e3d, (q15_t)0x7e3c, (q15_t)0x7e3b, (q15_t)0x7e3a, (q15_t)0x7e39, (q15_t)0x7e38, (q15_t)0x7e37, + (q15_t)0x7e36, (q15_t)0x7e35, (q15_t)0x7e34, (q15_t)0x7e33, (q15_t)0x7e32, (q15_t)0x7e31, (q15_t)0x7e30, (q15_t)0x7e2f, + (q15_t)0x7e2e, (q15_t)0x7e2d, (q15_t)0x7e2b, (q15_t)0x7e2a, (q15_t)0x7e29, (q15_t)0x7e28, (q15_t)0x7e27, (q15_t)0x7e26, + (q15_t)0x7e25, (q15_t)0x7e24, (q15_t)0x7e23, (q15_t)0x7e22, (q15_t)0x7e21, (q15_t)0x7e20, (q15_t)0x7e1f, (q15_t)0x7e1e, + (q15_t)0x7e1d, (q15_t)0x7e1b, (q15_t)0x7e1a, (q15_t)0x7e19, (q15_t)0x7e18, (q15_t)0x7e17, (q15_t)0x7e16, (q15_t)0x7e15, + (q15_t)0x7e14, (q15_t)0x7e13, (q15_t)0x7e12, (q15_t)0x7e11, (q15_t)0x7e10, (q15_t)0x7e0e, (q15_t)0x7e0d, (q15_t)0x7e0c, + (q15_t)0x7e0b, (q15_t)0x7e0a, (q15_t)0x7e09, (q15_t)0x7e08, (q15_t)0x7e07, (q15_t)0x7e06, (q15_t)0x7e05, (q15_t)0x7e04, + (q15_t)0x7e02, (q15_t)0x7e01, (q15_t)0x7e00, (q15_t)0x7dff, (q15_t)0x7dfe, (q15_t)0x7dfd, (q15_t)0x7dfc, (q15_t)0x7dfb, + (q15_t)0x7dfa, (q15_t)0x7df8, (q15_t)0x7df7, (q15_t)0x7df6, (q15_t)0x7df5, (q15_t)0x7df4, (q15_t)0x7df3, (q15_t)0x7df2, + (q15_t)0x7df1, (q15_t)0x7def, (q15_t)0x7dee, (q15_t)0x7ded, (q15_t)0x7dec, (q15_t)0x7deb, (q15_t)0x7dea, (q15_t)0x7de9, + (q15_t)0x7de8, (q15_t)0x7de6, (q15_t)0x7de5, (q15_t)0x7de4, (q15_t)0x7de3, (q15_t)0x7de2, (q15_t)0x7de1, (q15_t)0x7de0, + (q15_t)0x7dde, (q15_t)0x7ddd, (q15_t)0x7ddc, (q15_t)0x7ddb, (q15_t)0x7dda, (q15_t)0x7dd9, (q15_t)0x7dd8, (q15_t)0x7dd6, + (q15_t)0x7dd5, (q15_t)0x7dd4, (q15_t)0x7dd3, (q15_t)0x7dd2, (q15_t)0x7dd1, (q15_t)0x7dd0, (q15_t)0x7dce, (q15_t)0x7dcd, + (q15_t)0x7dcc, (q15_t)0x7dcb, (q15_t)0x7dca, (q15_t)0x7dc9, (q15_t)0x7dc7, (q15_t)0x7dc6, (q15_t)0x7dc5, (q15_t)0x7dc4, + (q15_t)0x7dc3, (q15_t)0x7dc2, (q15_t)0x7dc0, (q15_t)0x7dbf, (q15_t)0x7dbe, (q15_t)0x7dbd, (q15_t)0x7dbc, (q15_t)0x7dbb, + (q15_t)0x7db9, (q15_t)0x7db8, (q15_t)0x7db7, (q15_t)0x7db6, (q15_t)0x7db5, (q15_t)0x7db3, (q15_t)0x7db2, (q15_t)0x7db1, + (q15_t)0x7db0, (q15_t)0x7daf, (q15_t)0x7dae, (q15_t)0x7dac, (q15_t)0x7dab, (q15_t)0x7daa, (q15_t)0x7da9, (q15_t)0x7da8, + (q15_t)0x7da6, (q15_t)0x7da5, (q15_t)0x7da4, (q15_t)0x7da3, (q15_t)0x7da2, (q15_t)0x7da0, (q15_t)0x7d9f, (q15_t)0x7d9e, + (q15_t)0x7d9d, (q15_t)0x7d9c, (q15_t)0x7d9a, (q15_t)0x7d99, (q15_t)0x7d98, (q15_t)0x7d97, (q15_t)0x7d95, (q15_t)0x7d94, + (q15_t)0x7d93, (q15_t)0x7d92, (q15_t)0x7d91, (q15_t)0x7d8f, (q15_t)0x7d8e, (q15_t)0x7d8d, (q15_t)0x7d8c, (q15_t)0x7d8a, + (q15_t)0x7d89, (q15_t)0x7d88, (q15_t)0x7d87, (q15_t)0x7d86, (q15_t)0x7d84, (q15_t)0x7d83, (q15_t)0x7d82, (q15_t)0x7d81, + (q15_t)0x7d7f, (q15_t)0x7d7e, (q15_t)0x7d7d, (q15_t)0x7d7c, (q15_t)0x7d7a, (q15_t)0x7d79, (q15_t)0x7d78, (q15_t)0x7d77, + (q15_t)0x7d75, (q15_t)0x7d74, (q15_t)0x7d73, (q15_t)0x7d72, (q15_t)0x7d70, (q15_t)0x7d6f, (q15_t)0x7d6e, (q15_t)0x7d6d, + (q15_t)0x7d6b, (q15_t)0x7d6a, (q15_t)0x7d69, (q15_t)0x7d68, (q15_t)0x7d66, (q15_t)0x7d65, (q15_t)0x7d64, (q15_t)0x7d63, + (q15_t)0x7d61, (q15_t)0x7d60, (q15_t)0x7d5f, (q15_t)0x7d5e, (q15_t)0x7d5c, (q15_t)0x7d5b, (q15_t)0x7d5a, (q15_t)0x7d59, + (q15_t)0x7d57, (q15_t)0x7d56, (q15_t)0x7d55, (q15_t)0x7d53, (q15_t)0x7d52, (q15_t)0x7d51, (q15_t)0x7d50, (q15_t)0x7d4e, + (q15_t)0x7d4d, (q15_t)0x7d4c, (q15_t)0x7d4a, (q15_t)0x7d49, (q15_t)0x7d48, (q15_t)0x7d47, (q15_t)0x7d45, (q15_t)0x7d44, + (q15_t)0x7d43, (q15_t)0x7d41, (q15_t)0x7d40, (q15_t)0x7d3f, (q15_t)0x7d3e, (q15_t)0x7d3c, (q15_t)0x7d3b, (q15_t)0x7d3a, + (q15_t)0x7d38, (q15_t)0x7d37, (q15_t)0x7d36, (q15_t)0x7d34, (q15_t)0x7d33, (q15_t)0x7d32, (q15_t)0x7d31, (q15_t)0x7d2f, + (q15_t)0x7d2e, (q15_t)0x7d2d, (q15_t)0x7d2b, (q15_t)0x7d2a, (q15_t)0x7d29, (q15_t)0x7d27, (q15_t)0x7d26, (q15_t)0x7d25, + (q15_t)0x7d23, (q15_t)0x7d22, (q15_t)0x7d21, (q15_t)0x7d1f, (q15_t)0x7d1e, (q15_t)0x7d1d, (q15_t)0x7d1b, (q15_t)0x7d1a, + (q15_t)0x7d19, (q15_t)0x7d17, (q15_t)0x7d16, (q15_t)0x7d15, (q15_t)0x7d13, (q15_t)0x7d12, (q15_t)0x7d11, (q15_t)0x7d0f, + (q15_t)0x7d0e, (q15_t)0x7d0d, (q15_t)0x7d0b, (q15_t)0x7d0a, (q15_t)0x7d09, (q15_t)0x7d07, (q15_t)0x7d06, (q15_t)0x7d05, + (q15_t)0x7d03, (q15_t)0x7d02, (q15_t)0x7d01, (q15_t)0x7cff, (q15_t)0x7cfe, (q15_t)0x7cfd, (q15_t)0x7cfb, (q15_t)0x7cfa, + (q15_t)0x7cf9, (q15_t)0x7cf7, (q15_t)0x7cf6, (q15_t)0x7cf4, (q15_t)0x7cf3, (q15_t)0x7cf2, (q15_t)0x7cf0, (q15_t)0x7cef, + (q15_t)0x7cee, (q15_t)0x7cec, (q15_t)0x7ceb, (q15_t)0x7ce9, (q15_t)0x7ce8, (q15_t)0x7ce7, (q15_t)0x7ce5, (q15_t)0x7ce4, + (q15_t)0x7ce3, (q15_t)0x7ce1, (q15_t)0x7ce0, (q15_t)0x7cde, (q15_t)0x7cdd, (q15_t)0x7cdc, (q15_t)0x7cda, (q15_t)0x7cd9, + (q15_t)0x7cd8, (q15_t)0x7cd6, (q15_t)0x7cd5, (q15_t)0x7cd3, (q15_t)0x7cd2, (q15_t)0x7cd1, (q15_t)0x7ccf, (q15_t)0x7cce, + (q15_t)0x7ccc, (q15_t)0x7ccb, (q15_t)0x7cca, (q15_t)0x7cc8, (q15_t)0x7cc7, (q15_t)0x7cc5, (q15_t)0x7cc4, (q15_t)0x7cc3, + (q15_t)0x7cc1, (q15_t)0x7cc0, (q15_t)0x7cbe, (q15_t)0x7cbd, (q15_t)0x7cbc, (q15_t)0x7cba, (q15_t)0x7cb9, (q15_t)0x7cb7, + (q15_t)0x7cb6, (q15_t)0x7cb5, (q15_t)0x7cb3, (q15_t)0x7cb2, (q15_t)0x7cb0, (q15_t)0x7caf, (q15_t)0x7cad, (q15_t)0x7cac, + (q15_t)0x7cab, (q15_t)0x7ca9, (q15_t)0x7ca8, (q15_t)0x7ca6, (q15_t)0x7ca5, (q15_t)0x7ca3, (q15_t)0x7ca2, (q15_t)0x7ca1, + (q15_t)0x7c9f, (q15_t)0x7c9e, (q15_t)0x7c9c, (q15_t)0x7c9b, (q15_t)0x7c99, (q15_t)0x7c98, (q15_t)0x7c97, (q15_t)0x7c95, + (q15_t)0x7c94, (q15_t)0x7c92, (q15_t)0x7c91, (q15_t)0x7c8f, (q15_t)0x7c8e, (q15_t)0x7c8c, (q15_t)0x7c8b, (q15_t)0x7c8a, + (q15_t)0x7c88, (q15_t)0x7c87, (q15_t)0x7c85, (q15_t)0x7c84, (q15_t)0x7c82, (q15_t)0x7c81, (q15_t)0x7c7f, (q15_t)0x7c7e, + (q15_t)0x7c7c, (q15_t)0x7c7b, (q15_t)0x7c79, (q15_t)0x7c78, (q15_t)0x7c77, (q15_t)0x7c75, (q15_t)0x7c74, (q15_t)0x7c72, + (q15_t)0x7c71, (q15_t)0x7c6f, (q15_t)0x7c6e, (q15_t)0x7c6c, (q15_t)0x7c6b, (q15_t)0x7c69, (q15_t)0x7c68, (q15_t)0x7c66, + (q15_t)0x7c65, (q15_t)0x7c63, (q15_t)0x7c62, (q15_t)0x7c60, (q15_t)0x7c5f, (q15_t)0x7c5d, (q15_t)0x7c5c, (q15_t)0x7c5a, + (q15_t)0x7c59, (q15_t)0x7c58, (q15_t)0x7c56, (q15_t)0x7c55, (q15_t)0x7c53, (q15_t)0x7c52, (q15_t)0x7c50, (q15_t)0x7c4f, + (q15_t)0x7c4d, (q15_t)0x7c4c, (q15_t)0x7c4a, (q15_t)0x7c49, (q15_t)0x7c47, (q15_t)0x7c46, (q15_t)0x7c44, (q15_t)0x7c43, + (q15_t)0x7c41, (q15_t)0x7c3f, (q15_t)0x7c3e, (q15_t)0x7c3c, (q15_t)0x7c3b, (q15_t)0x7c39, (q15_t)0x7c38, (q15_t)0x7c36, + (q15_t)0x7c35, (q15_t)0x7c33, (q15_t)0x7c32, (q15_t)0x7c30, (q15_t)0x7c2f, (q15_t)0x7c2d, (q15_t)0x7c2c, (q15_t)0x7c2a, + (q15_t)0x7c29, (q15_t)0x7c27, (q15_t)0x7c26, (q15_t)0x7c24, (q15_t)0x7c23, (q15_t)0x7c21, (q15_t)0x7c20, (q15_t)0x7c1e, + (q15_t)0x7c1c, (q15_t)0x7c1b, (q15_t)0x7c19, (q15_t)0x7c18, (q15_t)0x7c16, (q15_t)0x7c15, (q15_t)0x7c13, (q15_t)0x7c12, + (q15_t)0x7c10, (q15_t)0x7c0f, (q15_t)0x7c0d, (q15_t)0x7c0b, (q15_t)0x7c0a, (q15_t)0x7c08, (q15_t)0x7c07, (q15_t)0x7c05, + (q15_t)0x7c04, (q15_t)0x7c02, (q15_t)0x7c01, (q15_t)0x7bff, (q15_t)0x7bfd, (q15_t)0x7bfc, (q15_t)0x7bfa, (q15_t)0x7bf9, + (q15_t)0x7bf7, (q15_t)0x7bf6, (q15_t)0x7bf4, (q15_t)0x7bf3, (q15_t)0x7bf1, (q15_t)0x7bef, (q15_t)0x7bee, (q15_t)0x7bec, + (q15_t)0x7beb, (q15_t)0x7be9, (q15_t)0x7be8, (q15_t)0x7be6, (q15_t)0x7be4, (q15_t)0x7be3, (q15_t)0x7be1, (q15_t)0x7be0, + (q15_t)0x7bde, (q15_t)0x7bdc, (q15_t)0x7bdb, (q15_t)0x7bd9, (q15_t)0x7bd8, (q15_t)0x7bd6, (q15_t)0x7bd5, (q15_t)0x7bd3, + (q15_t)0x7bd1, (q15_t)0x7bd0, (q15_t)0x7bce, (q15_t)0x7bcd, (q15_t)0x7bcb, (q15_t)0x7bc9, (q15_t)0x7bc8, (q15_t)0x7bc6, + (q15_t)0x7bc5, (q15_t)0x7bc3, (q15_t)0x7bc1, (q15_t)0x7bc0, (q15_t)0x7bbe, (q15_t)0x7bbd, (q15_t)0x7bbb, (q15_t)0x7bb9, + (q15_t)0x7bb8, (q15_t)0x7bb6, (q15_t)0x7bb5, (q15_t)0x7bb3, (q15_t)0x7bb1, (q15_t)0x7bb0, (q15_t)0x7bae, (q15_t)0x7bac, + (q15_t)0x7bab, (q15_t)0x7ba9, (q15_t)0x7ba8, (q15_t)0x7ba6, (q15_t)0x7ba4, (q15_t)0x7ba3, (q15_t)0x7ba1, (q15_t)0x7b9f, + (q15_t)0x7b9e, (q15_t)0x7b9c, (q15_t)0x7b9b, (q15_t)0x7b99, (q15_t)0x7b97, (q15_t)0x7b96, (q15_t)0x7b94, (q15_t)0x7b92, + (q15_t)0x7b91, (q15_t)0x7b8f, (q15_t)0x7b8d, (q15_t)0x7b8c, (q15_t)0x7b8a, (q15_t)0x7b89, (q15_t)0x7b87, (q15_t)0x7b85, + (q15_t)0x7b84, (q15_t)0x7b82, (q15_t)0x7b80, (q15_t)0x7b7f, (q15_t)0x7b7d, (q15_t)0x7b7b, (q15_t)0x7b7a, (q15_t)0x7b78, + (q15_t)0x7b76, (q15_t)0x7b75, (q15_t)0x7b73, (q15_t)0x7b71, (q15_t)0x7b70, (q15_t)0x7b6e, (q15_t)0x7b6c, (q15_t)0x7b6b, + (q15_t)0x7b69, (q15_t)0x7b67, (q15_t)0x7b66, (q15_t)0x7b64, (q15_t)0x7b62, (q15_t)0x7b61, (q15_t)0x7b5f, (q15_t)0x7b5d, + (q15_t)0x7b5c, (q15_t)0x7b5a, (q15_t)0x7b58, (q15_t)0x7b57, (q15_t)0x7b55, (q15_t)0x7b53, (q15_t)0x7b52, (q15_t)0x7b50, + (q15_t)0x7b4e, (q15_t)0x7b4d, (q15_t)0x7b4b, (q15_t)0x7b49, (q15_t)0x7b47, (q15_t)0x7b46, (q15_t)0x7b44, (q15_t)0x7b42, + (q15_t)0x7b41, (q15_t)0x7b3f, (q15_t)0x7b3d, (q15_t)0x7b3c, (q15_t)0x7b3a, (q15_t)0x7b38, (q15_t)0x7b37, (q15_t)0x7b35, + (q15_t)0x7b33, (q15_t)0x7b31, (q15_t)0x7b30, (q15_t)0x7b2e, (q15_t)0x7b2c, (q15_t)0x7b2b, (q15_t)0x7b29, (q15_t)0x7b27, + (q15_t)0x7b25, (q15_t)0x7b24, (q15_t)0x7b22, (q15_t)0x7b20, (q15_t)0x7b1f, (q15_t)0x7b1d, (q15_t)0x7b1b, (q15_t)0x7b19, + (q15_t)0x7b18, (q15_t)0x7b16, (q15_t)0x7b14, (q15_t)0x7b13, (q15_t)0x7b11, (q15_t)0x7b0f, (q15_t)0x7b0d, (q15_t)0x7b0c, + (q15_t)0x7b0a, (q15_t)0x7b08, (q15_t)0x7b06, (q15_t)0x7b05, (q15_t)0x7b03, (q15_t)0x7b01, (q15_t)0x7aff, (q15_t)0x7afe, + (q15_t)0x7afc, (q15_t)0x7afa, (q15_t)0x7af8, (q15_t)0x7af7, (q15_t)0x7af5, (q15_t)0x7af3, (q15_t)0x7af2, (q15_t)0x7af0, + (q15_t)0x7aee, (q15_t)0x7aec, (q15_t)0x7aeb, (q15_t)0x7ae9, (q15_t)0x7ae7, (q15_t)0x7ae5, (q15_t)0x7ae3, (q15_t)0x7ae2, + (q15_t)0x7ae0, (q15_t)0x7ade, (q15_t)0x7adc, (q15_t)0x7adb, (q15_t)0x7ad9, (q15_t)0x7ad7, (q15_t)0x7ad5, (q15_t)0x7ad4, + (q15_t)0x7ad2, (q15_t)0x7ad0, (q15_t)0x7ace, (q15_t)0x7acd, (q15_t)0x7acb, (q15_t)0x7ac9, (q15_t)0x7ac7, (q15_t)0x7ac5, + (q15_t)0x7ac4, (q15_t)0x7ac2, (q15_t)0x7ac0, (q15_t)0x7abe, (q15_t)0x7abd, (q15_t)0x7abb, (q15_t)0x7ab9, (q15_t)0x7ab7, + (q15_t)0x7ab5, (q15_t)0x7ab4, (q15_t)0x7ab2, (q15_t)0x7ab0, (q15_t)0x7aae, (q15_t)0x7aac, (q15_t)0x7aab, (q15_t)0x7aa9, + (q15_t)0x7aa7, (q15_t)0x7aa5, (q15_t)0x7aa3, (q15_t)0x7aa2, (q15_t)0x7aa0, (q15_t)0x7a9e, (q15_t)0x7a9c, (q15_t)0x7a9a, + (q15_t)0x7a99, (q15_t)0x7a97, (q15_t)0x7a95, (q15_t)0x7a93, (q15_t)0x7a91, (q15_t)0x7a90, (q15_t)0x7a8e, (q15_t)0x7a8c, + (q15_t)0x7a8a, (q15_t)0x7a88, (q15_t)0x7a87, (q15_t)0x7a85, (q15_t)0x7a83, (q15_t)0x7a81, (q15_t)0x7a7f, (q15_t)0x7a7d, + (q15_t)0x7a7c, (q15_t)0x7a7a, (q15_t)0x7a78, (q15_t)0x7a76, (q15_t)0x7a74, (q15_t)0x7a72, (q15_t)0x7a71, (q15_t)0x7a6f, + (q15_t)0x7a6d, (q15_t)0x7a6b, (q15_t)0x7a69, (q15_t)0x7a67, (q15_t)0x7a66, (q15_t)0x7a64, (q15_t)0x7a62, (q15_t)0x7a60, + (q15_t)0x7a5e, (q15_t)0x7a5c, (q15_t)0x7a5b, (q15_t)0x7a59, (q15_t)0x7a57, (q15_t)0x7a55, (q15_t)0x7a53, (q15_t)0x7a51, + (q15_t)0x7a4f, (q15_t)0x7a4e, (q15_t)0x7a4c, (q15_t)0x7a4a, (q15_t)0x7a48, (q15_t)0x7a46, (q15_t)0x7a44, (q15_t)0x7a42, + (q15_t)0x7a41, (q15_t)0x7a3f, (q15_t)0x7a3d, (q15_t)0x7a3b, (q15_t)0x7a39, (q15_t)0x7a37, (q15_t)0x7a35, (q15_t)0x7a34, + (q15_t)0x7a32, (q15_t)0x7a30, (q15_t)0x7a2e, (q15_t)0x7a2c, (q15_t)0x7a2a, (q15_t)0x7a28, (q15_t)0x7a26, (q15_t)0x7a25, + (q15_t)0x7a23, (q15_t)0x7a21, (q15_t)0x7a1f, (q15_t)0x7a1d, (q15_t)0x7a1b, (q15_t)0x7a19, (q15_t)0x7a17, (q15_t)0x7a16, + (q15_t)0x7a14, (q15_t)0x7a12, (q15_t)0x7a10, (q15_t)0x7a0e, (q15_t)0x7a0c, (q15_t)0x7a0a, (q15_t)0x7a08, (q15_t)0x7a06, + (q15_t)0x7a04, (q15_t)0x7a03, (q15_t)0x7a01, (q15_t)0x79ff, (q15_t)0x79fd, (q15_t)0x79fb, (q15_t)0x79f9, (q15_t)0x79f7, + (q15_t)0x79f5, (q15_t)0x79f3, (q15_t)0x79f1, (q15_t)0x79f0, (q15_t)0x79ee, (q15_t)0x79ec, (q15_t)0x79ea, (q15_t)0x79e8, + (q15_t)0x79e6, (q15_t)0x79e4, (q15_t)0x79e2, (q15_t)0x79e0, (q15_t)0x79de, (q15_t)0x79dc, (q15_t)0x79da, (q15_t)0x79d9, + (q15_t)0x79d7, (q15_t)0x79d5, (q15_t)0x79d3, (q15_t)0x79d1, (q15_t)0x79cf, (q15_t)0x79cd, (q15_t)0x79cb, (q15_t)0x79c9, + (q15_t)0x79c7, (q15_t)0x79c5, (q15_t)0x79c3, (q15_t)0x79c1, (q15_t)0x79bf, (q15_t)0x79bd, (q15_t)0x79bc, (q15_t)0x79ba, + (q15_t)0x79b8, (q15_t)0x79b6, (q15_t)0x79b4, (q15_t)0x79b2, (q15_t)0x79b0, (q15_t)0x79ae, (q15_t)0x79ac, (q15_t)0x79aa, + (q15_t)0x79a8, (q15_t)0x79a6, (q15_t)0x79a4, (q15_t)0x79a2, (q15_t)0x79a0, (q15_t)0x799e, (q15_t)0x799c, (q15_t)0x799a, + (q15_t)0x7998, (q15_t)0x7996, (q15_t)0x7994, (q15_t)0x7992, (q15_t)0x7991, (q15_t)0x798f, (q15_t)0x798d, (q15_t)0x798b, + (q15_t)0x7989, (q15_t)0x7987, (q15_t)0x7985, (q15_t)0x7983, (q15_t)0x7981, (q15_t)0x797f, (q15_t)0x797d, (q15_t)0x797b, + (q15_t)0x7979, (q15_t)0x7977, (q15_t)0x7975, (q15_t)0x7973, (q15_t)0x7971, (q15_t)0x796f, (q15_t)0x796d, (q15_t)0x796b, + (q15_t)0x7969, (q15_t)0x7967, (q15_t)0x7965, (q15_t)0x7963, (q15_t)0x7961, (q15_t)0x795f, (q15_t)0x795d, (q15_t)0x795b, + (q15_t)0x7959, (q15_t)0x7957, (q15_t)0x7955, (q15_t)0x7953, (q15_t)0x7951, (q15_t)0x794f, (q15_t)0x794d, (q15_t)0x794b, + (q15_t)0x7949, (q15_t)0x7947, (q15_t)0x7945, (q15_t)0x7943, (q15_t)0x7941, (q15_t)0x793f, (q15_t)0x793d, (q15_t)0x793b, + (q15_t)0x7939, (q15_t)0x7937, (q15_t)0x7935, (q15_t)0x7933, (q15_t)0x7931, (q15_t)0x792f, (q15_t)0x792d, (q15_t)0x792b, + (q15_t)0x7929, (q15_t)0x7927, (q15_t)0x7925, (q15_t)0x7923, (q15_t)0x7921, (q15_t)0x791f, (q15_t)0x791d, (q15_t)0x791a, + (q15_t)0x7918, (q15_t)0x7916, (q15_t)0x7914, (q15_t)0x7912, (q15_t)0x7910, (q15_t)0x790e, (q15_t)0x790c, (q15_t)0x790a, + (q15_t)0x7908, (q15_t)0x7906, (q15_t)0x7904, (q15_t)0x7902, (q15_t)0x7900, (q15_t)0x78fe, (q15_t)0x78fc, (q15_t)0x78fa, + (q15_t)0x78f8, (q15_t)0x78f6, (q15_t)0x78f4, (q15_t)0x78f2, (q15_t)0x78f0, (q15_t)0x78ed, (q15_t)0x78eb, (q15_t)0x78e9, + (q15_t)0x78e7, (q15_t)0x78e5, (q15_t)0x78e3, (q15_t)0x78e1, (q15_t)0x78df, (q15_t)0x78dd, (q15_t)0x78db, (q15_t)0x78d9, + (q15_t)0x78d7, (q15_t)0x78d5, (q15_t)0x78d3, (q15_t)0x78d1, (q15_t)0x78ce, (q15_t)0x78cc, (q15_t)0x78ca, (q15_t)0x78c8, + (q15_t)0x78c6, (q15_t)0x78c4, (q15_t)0x78c2, (q15_t)0x78c0, (q15_t)0x78be, (q15_t)0x78bc, (q15_t)0x78ba, (q15_t)0x78b8, + (q15_t)0x78b5, (q15_t)0x78b3, (q15_t)0x78b1, (q15_t)0x78af, (q15_t)0x78ad, (q15_t)0x78ab, (q15_t)0x78a9, (q15_t)0x78a7, + (q15_t)0x78a5, (q15_t)0x78a3, (q15_t)0x78a0, (q15_t)0x789e, (q15_t)0x789c, (q15_t)0x789a, (q15_t)0x7898, (q15_t)0x7896, + (q15_t)0x7894, (q15_t)0x7892, (q15_t)0x7890, (q15_t)0x788e, (q15_t)0x788b, (q15_t)0x7889, (q15_t)0x7887, (q15_t)0x7885, + (q15_t)0x7883, (q15_t)0x7881, (q15_t)0x787f, (q15_t)0x787d, (q15_t)0x787a, (q15_t)0x7878, (q15_t)0x7876, (q15_t)0x7874, + (q15_t)0x7872, (q15_t)0x7870, (q15_t)0x786e, (q15_t)0x786c, (q15_t)0x7869, (q15_t)0x7867, (q15_t)0x7865, (q15_t)0x7863, + (q15_t)0x7861, (q15_t)0x785f, (q15_t)0x785d, (q15_t)0x785b, (q15_t)0x7858, (q15_t)0x7856, (q15_t)0x7854, (q15_t)0x7852, + (q15_t)0x7850, (q15_t)0x784e, (q15_t)0x784c, (q15_t)0x7849, (q15_t)0x7847, (q15_t)0x7845, (q15_t)0x7843, (q15_t)0x7841, + (q15_t)0x783f, (q15_t)0x783c, (q15_t)0x783a, (q15_t)0x7838, (q15_t)0x7836, (q15_t)0x7834, (q15_t)0x7832, (q15_t)0x7830, + (q15_t)0x782d, (q15_t)0x782b, (q15_t)0x7829, (q15_t)0x7827, (q15_t)0x7825, (q15_t)0x7823, (q15_t)0x7820, (q15_t)0x781e, + (q15_t)0x781c, (q15_t)0x781a, (q15_t)0x7818, (q15_t)0x7816, (q15_t)0x7813, (q15_t)0x7811, (q15_t)0x780f, (q15_t)0x780d, + (q15_t)0x780b, (q15_t)0x7808, (q15_t)0x7806, (q15_t)0x7804, (q15_t)0x7802, (q15_t)0x7800, (q15_t)0x77fe, (q15_t)0x77fb, + (q15_t)0x77f9, (q15_t)0x77f7, (q15_t)0x77f5, (q15_t)0x77f3, (q15_t)0x77f0, (q15_t)0x77ee, (q15_t)0x77ec, (q15_t)0x77ea, + (q15_t)0x77e8, (q15_t)0x77e5, (q15_t)0x77e3, (q15_t)0x77e1, (q15_t)0x77df, (q15_t)0x77dd, (q15_t)0x77da, (q15_t)0x77d8, + (q15_t)0x77d6, (q15_t)0x77d4, (q15_t)0x77d2, (q15_t)0x77cf, (q15_t)0x77cd, (q15_t)0x77cb, (q15_t)0x77c9, (q15_t)0x77c6, + (q15_t)0x77c4, (q15_t)0x77c2, (q15_t)0x77c0, (q15_t)0x77be, (q15_t)0x77bb, (q15_t)0x77b9, (q15_t)0x77b7, (q15_t)0x77b5, + (q15_t)0x77b2, (q15_t)0x77b0, (q15_t)0x77ae, (q15_t)0x77ac, (q15_t)0x77aa, (q15_t)0x77a7, (q15_t)0x77a5, (q15_t)0x77a3, + (q15_t)0x77a1, (q15_t)0x779e, (q15_t)0x779c, (q15_t)0x779a, (q15_t)0x7798, (q15_t)0x7795, (q15_t)0x7793, (q15_t)0x7791, + (q15_t)0x778f, (q15_t)0x778c, (q15_t)0x778a, (q15_t)0x7788, (q15_t)0x7786, (q15_t)0x7783, (q15_t)0x7781, (q15_t)0x777f, + (q15_t)0x777d, (q15_t)0x777a, (q15_t)0x7778, (q15_t)0x7776, (q15_t)0x7774, (q15_t)0x7771, (q15_t)0x776f, (q15_t)0x776d, + (q15_t)0x776b, (q15_t)0x7768, (q15_t)0x7766, (q15_t)0x7764, (q15_t)0x7762, (q15_t)0x775f, (q15_t)0x775d, (q15_t)0x775b, + (q15_t)0x7759, (q15_t)0x7756, (q15_t)0x7754, (q15_t)0x7752, (q15_t)0x774f, (q15_t)0x774d, (q15_t)0x774b, (q15_t)0x7749, + (q15_t)0x7746, (q15_t)0x7744, (q15_t)0x7742, (q15_t)0x773f, (q15_t)0x773d, (q15_t)0x773b, (q15_t)0x7739, (q15_t)0x7736, + (q15_t)0x7734, (q15_t)0x7732, (q15_t)0x772f, (q15_t)0x772d, (q15_t)0x772b, (q15_t)0x7729, (q15_t)0x7726, (q15_t)0x7724, + (q15_t)0x7722, (q15_t)0x771f, (q15_t)0x771d, (q15_t)0x771b, (q15_t)0x7719, (q15_t)0x7716, (q15_t)0x7714, (q15_t)0x7712, + (q15_t)0x770f, (q15_t)0x770d, (q15_t)0x770b, (q15_t)0x7708, (q15_t)0x7706, (q15_t)0x7704, (q15_t)0x7701, (q15_t)0x76ff, + (q15_t)0x76fd, (q15_t)0x76fa, (q15_t)0x76f8, (q15_t)0x76f6, (q15_t)0x76f4, (q15_t)0x76f1, (q15_t)0x76ef, (q15_t)0x76ed, + (q15_t)0x76ea, (q15_t)0x76e8, (q15_t)0x76e6, (q15_t)0x76e3, (q15_t)0x76e1, (q15_t)0x76df, (q15_t)0x76dc, (q15_t)0x76da, + (q15_t)0x76d8, (q15_t)0x76d5, (q15_t)0x76d3, (q15_t)0x76d1, (q15_t)0x76ce, (q15_t)0x76cc, (q15_t)0x76ca, (q15_t)0x76c7, + (q15_t)0x76c5, (q15_t)0x76c3, (q15_t)0x76c0, (q15_t)0x76be, (q15_t)0x76bc, (q15_t)0x76b9, (q15_t)0x76b7, (q15_t)0x76b4, + (q15_t)0x76b2, (q15_t)0x76b0, (q15_t)0x76ad, (q15_t)0x76ab, (q15_t)0x76a9, (q15_t)0x76a6, (q15_t)0x76a4, (q15_t)0x76a2, + (q15_t)0x769f, (q15_t)0x769d, (q15_t)0x769b, (q15_t)0x7698, (q15_t)0x7696, (q15_t)0x7693, (q15_t)0x7691, (q15_t)0x768f, + (q15_t)0x768c, (q15_t)0x768a, (q15_t)0x7688, (q15_t)0x7685, (q15_t)0x7683, (q15_t)0x7681, (q15_t)0x767e, (q15_t)0x767c, + (q15_t)0x7679, (q15_t)0x7677, (q15_t)0x7675, (q15_t)0x7672, (q15_t)0x7670, (q15_t)0x766d, (q15_t)0x766b, (q15_t)0x7669, + (q15_t)0x7666, (q15_t)0x7664, (q15_t)0x7662, (q15_t)0x765f, (q15_t)0x765d, (q15_t)0x765a, (q15_t)0x7658, (q15_t)0x7656, + (q15_t)0x7653, (q15_t)0x7651, (q15_t)0x764e, (q15_t)0x764c, (q15_t)0x764a, (q15_t)0x7647, (q15_t)0x7645, (q15_t)0x7642, + (q15_t)0x7640, (q15_t)0x763e, (q15_t)0x763b, (q15_t)0x7639, (q15_t)0x7636, (q15_t)0x7634, (q15_t)0x7632, (q15_t)0x762f, + (q15_t)0x762d, (q15_t)0x762a, (q15_t)0x7628, (q15_t)0x7625, (q15_t)0x7623, (q15_t)0x7621, (q15_t)0x761e, (q15_t)0x761c, + (q15_t)0x7619, (q15_t)0x7617, (q15_t)0x7615, (q15_t)0x7612, (q15_t)0x7610, (q15_t)0x760d, (q15_t)0x760b, (q15_t)0x7608, + (q15_t)0x7606, (q15_t)0x7604, (q15_t)0x7601, (q15_t)0x75ff, (q15_t)0x75fc, (q15_t)0x75fa, (q15_t)0x75f7, (q15_t)0x75f5, + (q15_t)0x75f2, (q15_t)0x75f0, (q15_t)0x75ee, (q15_t)0x75eb, (q15_t)0x75e9, (q15_t)0x75e6, (q15_t)0x75e4, (q15_t)0x75e1, + (q15_t)0x75df, (q15_t)0x75dc, (q15_t)0x75da, (q15_t)0x75d8, (q15_t)0x75d5, (q15_t)0x75d3, (q15_t)0x75d0, (q15_t)0x75ce, + (q15_t)0x75cb, (q15_t)0x75c9, (q15_t)0x75c6, (q15_t)0x75c4, (q15_t)0x75c1, (q15_t)0x75bf, (q15_t)0x75bc, (q15_t)0x75ba, + (q15_t)0x75b8, (q15_t)0x75b5, (q15_t)0x75b3, (q15_t)0x75b0, (q15_t)0x75ae, (q15_t)0x75ab, (q15_t)0x75a9, (q15_t)0x75a6, + (q15_t)0x75a4, (q15_t)0x75a1, (q15_t)0x759f, (q15_t)0x759c, (q15_t)0x759a, (q15_t)0x7597, (q15_t)0x7595, (q15_t)0x7592, + (q15_t)0x7590, (q15_t)0x758d, (q15_t)0x758b, (q15_t)0x7588, (q15_t)0x7586, (q15_t)0x7584, (q15_t)0x7581, (q15_t)0x757f, + (q15_t)0x757c, (q15_t)0x757a, (q15_t)0x7577, (q15_t)0x7575, (q15_t)0x7572, (q15_t)0x7570, (q15_t)0x756d, (q15_t)0x756b, + (q15_t)0x7568, (q15_t)0x7566, (q15_t)0x7563, (q15_t)0x7561, (q15_t)0x755e, (q15_t)0x755c, (q15_t)0x7559, (q15_t)0x7556, + (q15_t)0x7554, (q15_t)0x7551, (q15_t)0x754f, (q15_t)0x754c, (q15_t)0x754a, (q15_t)0x7547, (q15_t)0x7545, (q15_t)0x7542, + (q15_t)0x7540, (q15_t)0x753d, (q15_t)0x753b, (q15_t)0x7538, (q15_t)0x7536, (q15_t)0x7533, (q15_t)0x7531, (q15_t)0x752e, + (q15_t)0x752c, (q15_t)0x7529, (q15_t)0x7527, (q15_t)0x7524, (q15_t)0x7522, (q15_t)0x751f, (q15_t)0x751c, (q15_t)0x751a, + (q15_t)0x7517, (q15_t)0x7515, (q15_t)0x7512, (q15_t)0x7510, (q15_t)0x750d, (q15_t)0x750b, (q15_t)0x7508, (q15_t)0x7506, + (q15_t)0x7503, (q15_t)0x7501, (q15_t)0x74fe, (q15_t)0x74fb, (q15_t)0x74f9, (q15_t)0x74f6, (q15_t)0x74f4, (q15_t)0x74f1, + (q15_t)0x74ef, (q15_t)0x74ec, (q15_t)0x74ea, (q15_t)0x74e7, (q15_t)0x74e4, (q15_t)0x74e2, (q15_t)0x74df, (q15_t)0x74dd, + (q15_t)0x74da, (q15_t)0x74d8, (q15_t)0x74d5, (q15_t)0x74d2, (q15_t)0x74d0, (q15_t)0x74cd, (q15_t)0x74cb, (q15_t)0x74c8, + (q15_t)0x74c6, (q15_t)0x74c3, (q15_t)0x74c0, (q15_t)0x74be, (q15_t)0x74bb, (q15_t)0x74b9, (q15_t)0x74b6, (q15_t)0x74b4, + (q15_t)0x74b1, (q15_t)0x74ae, (q15_t)0x74ac, (q15_t)0x74a9, (q15_t)0x74a7, (q15_t)0x74a4, (q15_t)0x74a1, (q15_t)0x749f, + (q15_t)0x749c, (q15_t)0x749a, (q15_t)0x7497, (q15_t)0x7495, (q15_t)0x7492, (q15_t)0x748f, (q15_t)0x748d, (q15_t)0x748a, + (q15_t)0x7488, (q15_t)0x7485, (q15_t)0x7482, (q15_t)0x7480, (q15_t)0x747d, (q15_t)0x747b, (q15_t)0x7478, (q15_t)0x7475, + (q15_t)0x7473, (q15_t)0x7470, (q15_t)0x746d, (q15_t)0x746b, (q15_t)0x7468, (q15_t)0x7466, (q15_t)0x7463, (q15_t)0x7460, + (q15_t)0x745e, (q15_t)0x745b, (q15_t)0x7459, (q15_t)0x7456, (q15_t)0x7453, (q15_t)0x7451, (q15_t)0x744e, (q15_t)0x744b, + (q15_t)0x7449, (q15_t)0x7446, (q15_t)0x7444, (q15_t)0x7441, (q15_t)0x743e, (q15_t)0x743c, (q15_t)0x7439, (q15_t)0x7436, + (q15_t)0x7434, (q15_t)0x7431, (q15_t)0x742f, (q15_t)0x742c, (q15_t)0x7429, (q15_t)0x7427, (q15_t)0x7424, (q15_t)0x7421, + (q15_t)0x741f, (q15_t)0x741c, (q15_t)0x7419, (q15_t)0x7417, (q15_t)0x7414, (q15_t)0x7411, (q15_t)0x740f, (q15_t)0x740c, + (q15_t)0x740a, (q15_t)0x7407, (q15_t)0x7404, (q15_t)0x7402, (q15_t)0x73ff, (q15_t)0x73fc, (q15_t)0x73fa, (q15_t)0x73f7, + (q15_t)0x73f4, (q15_t)0x73f2, (q15_t)0x73ef, (q15_t)0x73ec, (q15_t)0x73ea, (q15_t)0x73e7, (q15_t)0x73e4, (q15_t)0x73e2, + (q15_t)0x73df, (q15_t)0x73dc, (q15_t)0x73da, (q15_t)0x73d7, (q15_t)0x73d4, (q15_t)0x73d2, (q15_t)0x73cf, (q15_t)0x73cc, + (q15_t)0x73ca, (q15_t)0x73c7, (q15_t)0x73c4, (q15_t)0x73c1, (q15_t)0x73bf, (q15_t)0x73bc, (q15_t)0x73b9, (q15_t)0x73b7, + (q15_t)0x73b4, (q15_t)0x73b1, (q15_t)0x73af, (q15_t)0x73ac, (q15_t)0x73a9, (q15_t)0x73a7, (q15_t)0x73a4, (q15_t)0x73a1, + (q15_t)0x739f, (q15_t)0x739c, (q15_t)0x7399, (q15_t)0x7396, (q15_t)0x7394, (q15_t)0x7391, (q15_t)0x738e, (q15_t)0x738c, + (q15_t)0x7389, (q15_t)0x7386, (q15_t)0x7384, (q15_t)0x7381, (q15_t)0x737e, (q15_t)0x737b, (q15_t)0x7379, (q15_t)0x7376, + (q15_t)0x7373, (q15_t)0x7371, (q15_t)0x736e, (q15_t)0x736b, (q15_t)0x7368, (q15_t)0x7366, (q15_t)0x7363, (q15_t)0x7360, + (q15_t)0x735e, (q15_t)0x735b, (q15_t)0x7358, (q15_t)0x7355, (q15_t)0x7353, (q15_t)0x7350, (q15_t)0x734d, (q15_t)0x734a, + (q15_t)0x7348, (q15_t)0x7345, (q15_t)0x7342, (q15_t)0x7340, (q15_t)0x733d, (q15_t)0x733a, (q15_t)0x7337, (q15_t)0x7335, + (q15_t)0x7332, (q15_t)0x732f, (q15_t)0x732c, (q15_t)0x732a, (q15_t)0x7327, (q15_t)0x7324, (q15_t)0x7321, (q15_t)0x731f, + (q15_t)0x731c, (q15_t)0x7319, (q15_t)0x7316, (q15_t)0x7314, (q15_t)0x7311, (q15_t)0x730e, (q15_t)0x730b, (q15_t)0x7309, + (q15_t)0x7306, (q15_t)0x7303, (q15_t)0x7300, (q15_t)0x72fe, (q15_t)0x72fb, (q15_t)0x72f8, (q15_t)0x72f5, (q15_t)0x72f3, + (q15_t)0x72f0, (q15_t)0x72ed, (q15_t)0x72ea, (q15_t)0x72e8, (q15_t)0x72e5, (q15_t)0x72e2, (q15_t)0x72df, (q15_t)0x72dc, + (q15_t)0x72da, (q15_t)0x72d7, (q15_t)0x72d4, (q15_t)0x72d1, (q15_t)0x72cf, (q15_t)0x72cc, (q15_t)0x72c9, (q15_t)0x72c6, + (q15_t)0x72c3, (q15_t)0x72c1, (q15_t)0x72be, (q15_t)0x72bb, (q15_t)0x72b8, (q15_t)0x72b5, (q15_t)0x72b3, (q15_t)0x72b0, + (q15_t)0x72ad, (q15_t)0x72aa, (q15_t)0x72a8, (q15_t)0x72a5, (q15_t)0x72a2, (q15_t)0x729f, (q15_t)0x729c, (q15_t)0x729a, + (q15_t)0x7297, (q15_t)0x7294, (q15_t)0x7291, (q15_t)0x728e, (q15_t)0x728c, (q15_t)0x7289, (q15_t)0x7286, (q15_t)0x7283, + (q15_t)0x7280, (q15_t)0x727e, (q15_t)0x727b, (q15_t)0x7278, (q15_t)0x7275, (q15_t)0x7272, (q15_t)0x726f, (q15_t)0x726d, + (q15_t)0x726a, (q15_t)0x7267, (q15_t)0x7264, (q15_t)0x7261, (q15_t)0x725f, (q15_t)0x725c, (q15_t)0x7259, (q15_t)0x7256, + (q15_t)0x7253, (q15_t)0x7250, (q15_t)0x724e, (q15_t)0x724b, (q15_t)0x7248, (q15_t)0x7245, (q15_t)0x7242, (q15_t)0x723f, + (q15_t)0x723d, (q15_t)0x723a, (q15_t)0x7237, (q15_t)0x7234, (q15_t)0x7231, (q15_t)0x722e, (q15_t)0x722c, (q15_t)0x7229, + (q15_t)0x7226, (q15_t)0x7223, (q15_t)0x7220, (q15_t)0x721d, (q15_t)0x721b, (q15_t)0x7218, (q15_t)0x7215, (q15_t)0x7212, + (q15_t)0x720f, (q15_t)0x720c, (q15_t)0x7209, (q15_t)0x7207, (q15_t)0x7204, (q15_t)0x7201, (q15_t)0x71fe, (q15_t)0x71fb, + (q15_t)0x71f8, (q15_t)0x71f5, (q15_t)0x71f3, (q15_t)0x71f0, (q15_t)0x71ed, (q15_t)0x71ea, (q15_t)0x71e7, (q15_t)0x71e4, + (q15_t)0x71e1, (q15_t)0x71df, (q15_t)0x71dc, (q15_t)0x71d9, (q15_t)0x71d6, (q15_t)0x71d3, (q15_t)0x71d0, (q15_t)0x71cd, + (q15_t)0x71ca, (q15_t)0x71c8, (q15_t)0x71c5, (q15_t)0x71c2, (q15_t)0x71bf, (q15_t)0x71bc, (q15_t)0x71b9, (q15_t)0x71b6, + (q15_t)0x71b3, (q15_t)0x71b0, (q15_t)0x71ae, (q15_t)0x71ab, (q15_t)0x71a8, (q15_t)0x71a5, (q15_t)0x71a2, (q15_t)0x719f, + (q15_t)0x719c, (q15_t)0x7199, (q15_t)0x7196, (q15_t)0x7194, (q15_t)0x7191, (q15_t)0x718e, (q15_t)0x718b, (q15_t)0x7188, + (q15_t)0x7185, (q15_t)0x7182, (q15_t)0x717f, (q15_t)0x717c, (q15_t)0x7179, (q15_t)0x7177, (q15_t)0x7174, (q15_t)0x7171, + (q15_t)0x716e, (q15_t)0x716b, (q15_t)0x7168, (q15_t)0x7165, (q15_t)0x7162, (q15_t)0x715f, (q15_t)0x715c, (q15_t)0x7159, + (q15_t)0x7156, (q15_t)0x7154, (q15_t)0x7151, (q15_t)0x714e, (q15_t)0x714b, (q15_t)0x7148, (q15_t)0x7145, (q15_t)0x7142, + (q15_t)0x713f, (q15_t)0x713c, (q15_t)0x7139, (q15_t)0x7136, (q15_t)0x7133, (q15_t)0x7130, (q15_t)0x712d, (q15_t)0x712b, + (q15_t)0x7128, (q15_t)0x7125, (q15_t)0x7122, (q15_t)0x711f, (q15_t)0x711c, (q15_t)0x7119, (q15_t)0x7116, (q15_t)0x7113, + (q15_t)0x7110, (q15_t)0x710d, (q15_t)0x710a, (q15_t)0x7107, (q15_t)0x7104, (q15_t)0x7101, (q15_t)0x70fe, (q15_t)0x70fb, + (q15_t)0x70f8, (q15_t)0x70f6, (q15_t)0x70f3, (q15_t)0x70f0, (q15_t)0x70ed, (q15_t)0x70ea, (q15_t)0x70e7, (q15_t)0x70e4, + (q15_t)0x70e1, (q15_t)0x70de, (q15_t)0x70db, (q15_t)0x70d8, (q15_t)0x70d5, (q15_t)0x70d2, (q15_t)0x70cf, (q15_t)0x70cc, + (q15_t)0x70c9, (q15_t)0x70c6, (q15_t)0x70c3, (q15_t)0x70c0, (q15_t)0x70bd, (q15_t)0x70ba, (q15_t)0x70b7, (q15_t)0x70b4, + (q15_t)0x70b1, (q15_t)0x70ae, (q15_t)0x70ab, (q15_t)0x70a8, (q15_t)0x70a5, (q15_t)0x70a2, (q15_t)0x709f, (q15_t)0x709c, + (q15_t)0x7099, (q15_t)0x7096, (q15_t)0x7093, (q15_t)0x7090, (q15_t)0x708d, (q15_t)0x708a, (q15_t)0x7087, (q15_t)0x7084, + (q15_t)0x7081, (q15_t)0x707e, (q15_t)0x707b, (q15_t)0x7078, (q15_t)0x7075, (q15_t)0x7072, (q15_t)0x706f, (q15_t)0x706c, + (q15_t)0x7069, (q15_t)0x7066, (q15_t)0x7063, (q15_t)0x7060, (q15_t)0x705d, (q15_t)0x705a, (q15_t)0x7057, (q15_t)0x7054, + (q15_t)0x7051, (q15_t)0x704e, (q15_t)0x704b, (q15_t)0x7048, (q15_t)0x7045, (q15_t)0x7042, (q15_t)0x703f, (q15_t)0x703c, + (q15_t)0x7039, (q15_t)0x7036, (q15_t)0x7033, (q15_t)0x7030, (q15_t)0x702d, (q15_t)0x702a, (q15_t)0x7027, (q15_t)0x7024, + (q15_t)0x7021, (q15_t)0x701e, (q15_t)0x701b, (q15_t)0x7018, (q15_t)0x7015, (q15_t)0x7012, (q15_t)0x700f, (q15_t)0x700c, + (q15_t)0x7009, (q15_t)0x7006, (q15_t)0x7003, (q15_t)0x7000, (q15_t)0x6ffd, (q15_t)0x6ffa, (q15_t)0x6ff7, (q15_t)0x6ff3, + (q15_t)0x6ff0, (q15_t)0x6fed, (q15_t)0x6fea, (q15_t)0x6fe7, (q15_t)0x6fe4, (q15_t)0x6fe1, (q15_t)0x6fde, (q15_t)0x6fdb, + (q15_t)0x6fd8, (q15_t)0x6fd5, (q15_t)0x6fd2, (q15_t)0x6fcf, (q15_t)0x6fcc, (q15_t)0x6fc9, (q15_t)0x6fc6, (q15_t)0x6fc3, + (q15_t)0x6fc0, (q15_t)0x6fbc, (q15_t)0x6fb9, (q15_t)0x6fb6, (q15_t)0x6fb3, (q15_t)0x6fb0, (q15_t)0x6fad, (q15_t)0x6faa, + (q15_t)0x6fa7, (q15_t)0x6fa4, (q15_t)0x6fa1, (q15_t)0x6f9e, (q15_t)0x6f9b, (q15_t)0x6f98, (q15_t)0x6f95, (q15_t)0x6f91, + (q15_t)0x6f8e, (q15_t)0x6f8b, (q15_t)0x6f88, (q15_t)0x6f85, (q15_t)0x6f82, (q15_t)0x6f7f, (q15_t)0x6f7c, (q15_t)0x6f79, + (q15_t)0x6f76, (q15_t)0x6f73, (q15_t)0x6f70, (q15_t)0x6f6c, (q15_t)0x6f69, (q15_t)0x6f66, (q15_t)0x6f63, (q15_t)0x6f60, + (q15_t)0x6f5d, (q15_t)0x6f5a, (q15_t)0x6f57, (q15_t)0x6f54, (q15_t)0x6f51, (q15_t)0x6f4d, (q15_t)0x6f4a, (q15_t)0x6f47, + (q15_t)0x6f44, (q15_t)0x6f41, (q15_t)0x6f3e, (q15_t)0x6f3b, (q15_t)0x6f38, (q15_t)0x6f35, (q15_t)0x6f31, (q15_t)0x6f2e, + (q15_t)0x6f2b, (q15_t)0x6f28, (q15_t)0x6f25, (q15_t)0x6f22, (q15_t)0x6f1f, (q15_t)0x6f1c, (q15_t)0x6f19, (q15_t)0x6f15, + (q15_t)0x6f12, (q15_t)0x6f0f, (q15_t)0x6f0c, (q15_t)0x6f09, (q15_t)0x6f06, (q15_t)0x6f03, (q15_t)0x6f00, (q15_t)0x6efc, + (q15_t)0x6ef9, (q15_t)0x6ef6, (q15_t)0x6ef3, (q15_t)0x6ef0, (q15_t)0x6eed, (q15_t)0x6eea, (q15_t)0x6ee7, (q15_t)0x6ee3, + (q15_t)0x6ee0, (q15_t)0x6edd, (q15_t)0x6eda, (q15_t)0x6ed7, (q15_t)0x6ed4, (q15_t)0x6ed1, (q15_t)0x6ecd, (q15_t)0x6eca, + (q15_t)0x6ec7, (q15_t)0x6ec4, (q15_t)0x6ec1, (q15_t)0x6ebe, (q15_t)0x6eba, (q15_t)0x6eb7, (q15_t)0x6eb4, (q15_t)0x6eb1, + (q15_t)0x6eae, (q15_t)0x6eab, (q15_t)0x6ea8, (q15_t)0x6ea4, (q15_t)0x6ea1, (q15_t)0x6e9e, (q15_t)0x6e9b, (q15_t)0x6e98, + (q15_t)0x6e95, (q15_t)0x6e91, (q15_t)0x6e8e, (q15_t)0x6e8b, (q15_t)0x6e88, (q15_t)0x6e85, (q15_t)0x6e82, (q15_t)0x6e7e, + (q15_t)0x6e7b, (q15_t)0x6e78, (q15_t)0x6e75, (q15_t)0x6e72, (q15_t)0x6e6f, (q15_t)0x6e6b, (q15_t)0x6e68, (q15_t)0x6e65, + (q15_t)0x6e62, (q15_t)0x6e5f, (q15_t)0x6e5b, (q15_t)0x6e58, (q15_t)0x6e55, (q15_t)0x6e52, (q15_t)0x6e4f, (q15_t)0x6e4c, + (q15_t)0x6e48, (q15_t)0x6e45, (q15_t)0x6e42, (q15_t)0x6e3f, (q15_t)0x6e3c, (q15_t)0x6e38, (q15_t)0x6e35, (q15_t)0x6e32, + (q15_t)0x6e2f, (q15_t)0x6e2c, (q15_t)0x6e28, (q15_t)0x6e25, (q15_t)0x6e22, (q15_t)0x6e1f, (q15_t)0x6e1c, (q15_t)0x6e18, + (q15_t)0x6e15, (q15_t)0x6e12, (q15_t)0x6e0f, (q15_t)0x6e0c, (q15_t)0x6e08, (q15_t)0x6e05, (q15_t)0x6e02, (q15_t)0x6dff, + (q15_t)0x6dfb, (q15_t)0x6df8, (q15_t)0x6df5, (q15_t)0x6df2, (q15_t)0x6def, (q15_t)0x6deb, (q15_t)0x6de8, (q15_t)0x6de5, + (q15_t)0x6de2, (q15_t)0x6ddf, (q15_t)0x6ddb, (q15_t)0x6dd8, (q15_t)0x6dd5, (q15_t)0x6dd2, (q15_t)0x6dce, (q15_t)0x6dcb, + (q15_t)0x6dc8, (q15_t)0x6dc5, (q15_t)0x6dc1, (q15_t)0x6dbe, (q15_t)0x6dbb, (q15_t)0x6db8, (q15_t)0x6db5, (q15_t)0x6db1, + (q15_t)0x6dae, (q15_t)0x6dab, (q15_t)0x6da8, (q15_t)0x6da4, (q15_t)0x6da1, (q15_t)0x6d9e, (q15_t)0x6d9b, (q15_t)0x6d97, + (q15_t)0x6d94, (q15_t)0x6d91, (q15_t)0x6d8e, (q15_t)0x6d8a, (q15_t)0x6d87, (q15_t)0x6d84, (q15_t)0x6d81, (q15_t)0x6d7d, + (q15_t)0x6d7a, (q15_t)0x6d77, (q15_t)0x6d74, (q15_t)0x6d70, (q15_t)0x6d6d, (q15_t)0x6d6a, (q15_t)0x6d67, (q15_t)0x6d63, + (q15_t)0x6d60, (q15_t)0x6d5d, (q15_t)0x6d59, (q15_t)0x6d56, (q15_t)0x6d53, (q15_t)0x6d50, (q15_t)0x6d4c, (q15_t)0x6d49, + (q15_t)0x6d46, (q15_t)0x6d43, (q15_t)0x6d3f, (q15_t)0x6d3c, (q15_t)0x6d39, (q15_t)0x6d36, (q15_t)0x6d32, (q15_t)0x6d2f, + (q15_t)0x6d2c, (q15_t)0x6d28, (q15_t)0x6d25, (q15_t)0x6d22, (q15_t)0x6d1f, (q15_t)0x6d1b, (q15_t)0x6d18, (q15_t)0x6d15, + (q15_t)0x6d11, (q15_t)0x6d0e, (q15_t)0x6d0b, (q15_t)0x6d08, (q15_t)0x6d04, (q15_t)0x6d01, (q15_t)0x6cfe, (q15_t)0x6cfa, + (q15_t)0x6cf7, (q15_t)0x6cf4, (q15_t)0x6cf0, (q15_t)0x6ced, (q15_t)0x6cea, (q15_t)0x6ce7, (q15_t)0x6ce3, (q15_t)0x6ce0, + (q15_t)0x6cdd, (q15_t)0x6cd9, (q15_t)0x6cd6, (q15_t)0x6cd3, (q15_t)0x6ccf, (q15_t)0x6ccc, (q15_t)0x6cc9, (q15_t)0x6cc5, + (q15_t)0x6cc2, (q15_t)0x6cbf, (q15_t)0x6cbc, (q15_t)0x6cb8, (q15_t)0x6cb5, (q15_t)0x6cb2, (q15_t)0x6cae, (q15_t)0x6cab, + (q15_t)0x6ca8, (q15_t)0x6ca4, (q15_t)0x6ca1, (q15_t)0x6c9e, (q15_t)0x6c9a, (q15_t)0x6c97, (q15_t)0x6c94, (q15_t)0x6c90, + (q15_t)0x6c8d, (q15_t)0x6c8a, (q15_t)0x6c86, (q15_t)0x6c83, (q15_t)0x6c80, (q15_t)0x6c7c, (q15_t)0x6c79, (q15_t)0x6c76, + (q15_t)0x6c72, (q15_t)0x6c6f, (q15_t)0x6c6c, (q15_t)0x6c68, (q15_t)0x6c65, (q15_t)0x6c62, (q15_t)0x6c5e, (q15_t)0x6c5b, + (q15_t)0x6c58, (q15_t)0x6c54, (q15_t)0x6c51, (q15_t)0x6c4e, (q15_t)0x6c4a, (q15_t)0x6c47, (q15_t)0x6c44, (q15_t)0x6c40, + (q15_t)0x6c3d, (q15_t)0x6c39, (q15_t)0x6c36, (q15_t)0x6c33, (q15_t)0x6c2f, (q15_t)0x6c2c, (q15_t)0x6c29, (q15_t)0x6c25, + (q15_t)0x6c22, (q15_t)0x6c1f, (q15_t)0x6c1b, (q15_t)0x6c18, (q15_t)0x6c15, (q15_t)0x6c11, (q15_t)0x6c0e, (q15_t)0x6c0a, + (q15_t)0x6c07, (q15_t)0x6c04, (q15_t)0x6c00, (q15_t)0x6bfd, (q15_t)0x6bfa, (q15_t)0x6bf6, (q15_t)0x6bf3, (q15_t)0x6bef, + (q15_t)0x6bec, (q15_t)0x6be9, (q15_t)0x6be5, (q15_t)0x6be2, (q15_t)0x6bdf, (q15_t)0x6bdb, (q15_t)0x6bd8, (q15_t)0x6bd4, + (q15_t)0x6bd1, (q15_t)0x6bce, (q15_t)0x6bca, (q15_t)0x6bc7, (q15_t)0x6bc3, (q15_t)0x6bc0, (q15_t)0x6bbd, (q15_t)0x6bb9, + (q15_t)0x6bb6, (q15_t)0x6bb2, (q15_t)0x6baf, (q15_t)0x6bac, (q15_t)0x6ba8, (q15_t)0x6ba5, (q15_t)0x6ba1, (q15_t)0x6b9e, + (q15_t)0x6b9b, (q15_t)0x6b97, (q15_t)0x6b94, (q15_t)0x6b90, (q15_t)0x6b8d, (q15_t)0x6b8a, (q15_t)0x6b86, (q15_t)0x6b83, + (q15_t)0x6b7f, (q15_t)0x6b7c, (q15_t)0x6b79, (q15_t)0x6b75, (q15_t)0x6b72, (q15_t)0x6b6e, (q15_t)0x6b6b, (q15_t)0x6b68, + (q15_t)0x6b64, (q15_t)0x6b61, (q15_t)0x6b5d, (q15_t)0x6b5a, (q15_t)0x6b56, (q15_t)0x6b53, (q15_t)0x6b50, (q15_t)0x6b4c, + (q15_t)0x6b49, (q15_t)0x6b45, (q15_t)0x6b42, (q15_t)0x6b3e, (q15_t)0x6b3b, (q15_t)0x6b38, (q15_t)0x6b34, (q15_t)0x6b31, + (q15_t)0x6b2d, (q15_t)0x6b2a, (q15_t)0x6b26, (q15_t)0x6b23, (q15_t)0x6b20, (q15_t)0x6b1c, (q15_t)0x6b19, (q15_t)0x6b15, + (q15_t)0x6b12, (q15_t)0x6b0e, (q15_t)0x6b0b, (q15_t)0x6b07, (q15_t)0x6b04, (q15_t)0x6b01, (q15_t)0x6afd, (q15_t)0x6afa, + (q15_t)0x6af6, (q15_t)0x6af3, (q15_t)0x6aef, (q15_t)0x6aec, (q15_t)0x6ae8, (q15_t)0x6ae5, (q15_t)0x6ae1, (q15_t)0x6ade, + (q15_t)0x6adb, (q15_t)0x6ad7, (q15_t)0x6ad4, (q15_t)0x6ad0, (q15_t)0x6acd, (q15_t)0x6ac9, (q15_t)0x6ac6, (q15_t)0x6ac2, + (q15_t)0x6abf, (q15_t)0x6abb, (q15_t)0x6ab8, (q15_t)0x6ab4, (q15_t)0x6ab1, (q15_t)0x6aae, (q15_t)0x6aaa, (q15_t)0x6aa7, + (q15_t)0x6aa3, (q15_t)0x6aa0, (q15_t)0x6a9c, (q15_t)0x6a99, (q15_t)0x6a95, (q15_t)0x6a92, (q15_t)0x6a8e, (q15_t)0x6a8b, + (q15_t)0x6a87, (q15_t)0x6a84, (q15_t)0x6a80, (q15_t)0x6a7d, (q15_t)0x6a79, (q15_t)0x6a76, (q15_t)0x6a72, (q15_t)0x6a6f, + (q15_t)0x6a6b, (q15_t)0x6a68, (q15_t)0x6a64, (q15_t)0x6a61, (q15_t)0x6a5d, (q15_t)0x6a5a, (q15_t)0x6a56, (q15_t)0x6a53, + (q15_t)0x6a4f, (q15_t)0x6a4c, (q15_t)0x6a48, (q15_t)0x6a45, (q15_t)0x6a41, (q15_t)0x6a3e, (q15_t)0x6a3a, (q15_t)0x6a37, + (q15_t)0x6a33, (q15_t)0x6a30, (q15_t)0x6a2c, (q15_t)0x6a29, (q15_t)0x6a25, (q15_t)0x6a22, (q15_t)0x6a1e, (q15_t)0x6a1b, + (q15_t)0x6a17, (q15_t)0x6a14, (q15_t)0x6a10, (q15_t)0x6a0d, (q15_t)0x6a09, (q15_t)0x6a06, (q15_t)0x6a02, (q15_t)0x69ff, + (q15_t)0x69fb, (q15_t)0x69f8, (q15_t)0x69f4, (q15_t)0x69f1, (q15_t)0x69ed, (q15_t)0x69e9, (q15_t)0x69e6, (q15_t)0x69e2, + (q15_t)0x69df, (q15_t)0x69db, (q15_t)0x69d8, (q15_t)0x69d4, (q15_t)0x69d1, (q15_t)0x69cd, (q15_t)0x69ca, (q15_t)0x69c6, + (q15_t)0x69c3, (q15_t)0x69bf, (q15_t)0x69bc, (q15_t)0x69b8, (q15_t)0x69b4, (q15_t)0x69b1, (q15_t)0x69ad, (q15_t)0x69aa, + (q15_t)0x69a6, (q15_t)0x69a3, (q15_t)0x699f, (q15_t)0x699c, (q15_t)0x6998, (q15_t)0x6995, (q15_t)0x6991, (q15_t)0x698d, + (q15_t)0x698a, (q15_t)0x6986, (q15_t)0x6983, (q15_t)0x697f, (q15_t)0x697c, (q15_t)0x6978, (q15_t)0x6975, (q15_t)0x6971, + (q15_t)0x696d, (q15_t)0x696a, (q15_t)0x6966, (q15_t)0x6963, (q15_t)0x695f, (q15_t)0x695c, (q15_t)0x6958, (q15_t)0x6954, + (q15_t)0x6951, (q15_t)0x694d, (q15_t)0x694a, (q15_t)0x6946, (q15_t)0x6943, (q15_t)0x693f, (q15_t)0x693b, (q15_t)0x6938, + (q15_t)0x6934, (q15_t)0x6931, (q15_t)0x692d, (q15_t)0x692a, (q15_t)0x6926, (q15_t)0x6922, (q15_t)0x691f, (q15_t)0x691b, + (q15_t)0x6918, (q15_t)0x6914, (q15_t)0x6910, (q15_t)0x690d, (q15_t)0x6909, (q15_t)0x6906, (q15_t)0x6902, (q15_t)0x68fe, + (q15_t)0x68fb, (q15_t)0x68f7, (q15_t)0x68f4, (q15_t)0x68f0, (q15_t)0x68ec, (q15_t)0x68e9, (q15_t)0x68e5, (q15_t)0x68e2, + (q15_t)0x68de, (q15_t)0x68da, (q15_t)0x68d7, (q15_t)0x68d3, (q15_t)0x68d0, (q15_t)0x68cc, (q15_t)0x68c8, (q15_t)0x68c5, + (q15_t)0x68c1, (q15_t)0x68be, (q15_t)0x68ba, (q15_t)0x68b6, (q15_t)0x68b3, (q15_t)0x68af, (q15_t)0x68ac, (q15_t)0x68a8, + (q15_t)0x68a4, (q15_t)0x68a1, (q15_t)0x689d, (q15_t)0x6899, (q15_t)0x6896, (q15_t)0x6892, (q15_t)0x688f, (q15_t)0x688b, + (q15_t)0x6887, (q15_t)0x6884, (q15_t)0x6880, (q15_t)0x687c, (q15_t)0x6879, (q15_t)0x6875, (q15_t)0x6872, (q15_t)0x686e, + (q15_t)0x686a, (q15_t)0x6867, (q15_t)0x6863, (q15_t)0x685f, (q15_t)0x685c, (q15_t)0x6858, (q15_t)0x6854, (q15_t)0x6851, + (q15_t)0x684d, (q15_t)0x684a, (q15_t)0x6846, (q15_t)0x6842, (q15_t)0x683f, (q15_t)0x683b, (q15_t)0x6837, (q15_t)0x6834, + (q15_t)0x6830, (q15_t)0x682c, (q15_t)0x6829, (q15_t)0x6825, (q15_t)0x6821, (q15_t)0x681e, (q15_t)0x681a, (q15_t)0x6816, + (q15_t)0x6813, (q15_t)0x680f, (q15_t)0x680b, (q15_t)0x6808, (q15_t)0x6804, (q15_t)0x6800, (q15_t)0x67fd, (q15_t)0x67f9, + (q15_t)0x67f5, (q15_t)0x67f2, (q15_t)0x67ee, (q15_t)0x67ea, (q15_t)0x67e7, (q15_t)0x67e3, (q15_t)0x67df, (q15_t)0x67dc, + (q15_t)0x67d8, (q15_t)0x67d4, (q15_t)0x67d1, (q15_t)0x67cd, (q15_t)0x67c9, (q15_t)0x67c6, (q15_t)0x67c2, (q15_t)0x67be, + (q15_t)0x67bb, (q15_t)0x67b7, (q15_t)0x67b3, (q15_t)0x67b0, (q15_t)0x67ac, (q15_t)0x67a8, (q15_t)0x67a5, (q15_t)0x67a1, + (q15_t)0x679d, (q15_t)0x679a, (q15_t)0x6796, (q15_t)0x6792, (q15_t)0x678e, (q15_t)0x678b, (q15_t)0x6787, (q15_t)0x6783, + (q15_t)0x6780, (q15_t)0x677c, (q15_t)0x6778, (q15_t)0x6775, (q15_t)0x6771, (q15_t)0x676d, (q15_t)0x6769, (q15_t)0x6766, + (q15_t)0x6762, (q15_t)0x675e, (q15_t)0x675b, (q15_t)0x6757, (q15_t)0x6753, (q15_t)0x6750, (q15_t)0x674c, (q15_t)0x6748, + (q15_t)0x6744, (q15_t)0x6741, (q15_t)0x673d, (q15_t)0x6739, (q15_t)0x6736, (q15_t)0x6732, (q15_t)0x672e, (q15_t)0x672a, + (q15_t)0x6727, (q15_t)0x6723, (q15_t)0x671f, (q15_t)0x671c, (q15_t)0x6718, (q15_t)0x6714, (q15_t)0x6710, (q15_t)0x670d, + (q15_t)0x6709, (q15_t)0x6705, (q15_t)0x6701, (q15_t)0x66fe, (q15_t)0x66fa, (q15_t)0x66f6, (q15_t)0x66f3, (q15_t)0x66ef, + (q15_t)0x66eb, (q15_t)0x66e7, (q15_t)0x66e4, (q15_t)0x66e0, (q15_t)0x66dc, (q15_t)0x66d8, (q15_t)0x66d5, (q15_t)0x66d1, + (q15_t)0x66cd, (q15_t)0x66c9, (q15_t)0x66c6, (q15_t)0x66c2, (q15_t)0x66be, (q15_t)0x66ba, (q15_t)0x66b7, (q15_t)0x66b3, + (q15_t)0x66af, (q15_t)0x66ab, (q15_t)0x66a8, (q15_t)0x66a4, (q15_t)0x66a0, (q15_t)0x669c, (q15_t)0x6699, (q15_t)0x6695, + (q15_t)0x6691, (q15_t)0x668d, (q15_t)0x668a, (q15_t)0x6686, (q15_t)0x6682, (q15_t)0x667e, (q15_t)0x667b, (q15_t)0x6677, + (q15_t)0x6673, (q15_t)0x666f, (q15_t)0x666b, (q15_t)0x6668, (q15_t)0x6664, (q15_t)0x6660, (q15_t)0x665c, (q15_t)0x6659, + (q15_t)0x6655, (q15_t)0x6651, (q15_t)0x664d, (q15_t)0x664a, (q15_t)0x6646, (q15_t)0x6642, (q15_t)0x663e, (q15_t)0x663a, + (q15_t)0x6637, (q15_t)0x6633, (q15_t)0x662f, (q15_t)0x662b, (q15_t)0x6627, (q15_t)0x6624, (q15_t)0x6620, (q15_t)0x661c, + (q15_t)0x6618, (q15_t)0x6615, (q15_t)0x6611, (q15_t)0x660d, (q15_t)0x6609, (q15_t)0x6605, (q15_t)0x6602, (q15_t)0x65fe, + (q15_t)0x65fa, (q15_t)0x65f6, (q15_t)0x65f2, (q15_t)0x65ef, (q15_t)0x65eb, (q15_t)0x65e7, (q15_t)0x65e3, (q15_t)0x65df, + (q15_t)0x65dc, (q15_t)0x65d8, (q15_t)0x65d4, (q15_t)0x65d0, (q15_t)0x65cc, (q15_t)0x65c9, (q15_t)0x65c5, (q15_t)0x65c1, + (q15_t)0x65bd, (q15_t)0x65b9, (q15_t)0x65b5, (q15_t)0x65b2, (q15_t)0x65ae, (q15_t)0x65aa, (q15_t)0x65a6, (q15_t)0x65a2, + (q15_t)0x659f, (q15_t)0x659b, (q15_t)0x6597, (q15_t)0x6593, (q15_t)0x658f, (q15_t)0x658b, (q15_t)0x6588, (q15_t)0x6584, + (q15_t)0x6580, (q15_t)0x657c, (q15_t)0x6578, (q15_t)0x6574, (q15_t)0x6571, (q15_t)0x656d, (q15_t)0x6569, (q15_t)0x6565, + (q15_t)0x6561, (q15_t)0x655d, (q15_t)0x655a, (q15_t)0x6556, (q15_t)0x6552, (q15_t)0x654e, (q15_t)0x654a, (q15_t)0x6546, + (q15_t)0x6543, (q15_t)0x653f, (q15_t)0x653b, (q15_t)0x6537, (q15_t)0x6533, (q15_t)0x652f, (q15_t)0x652c, (q15_t)0x6528, + (q15_t)0x6524, (q15_t)0x6520, (q15_t)0x651c, (q15_t)0x6518, (q15_t)0x6514, (q15_t)0x6511, (q15_t)0x650d, (q15_t)0x6509, + (q15_t)0x6505, (q15_t)0x6501, (q15_t)0x64fd, (q15_t)0x64f9, (q15_t)0x64f6, (q15_t)0x64f2, (q15_t)0x64ee, (q15_t)0x64ea, + (q15_t)0x64e6, (q15_t)0x64e2, (q15_t)0x64de, (q15_t)0x64db, (q15_t)0x64d7, (q15_t)0x64d3, (q15_t)0x64cf, (q15_t)0x64cb, + (q15_t)0x64c7, (q15_t)0x64c3, (q15_t)0x64bf, (q15_t)0x64bc, (q15_t)0x64b8, (q15_t)0x64b4, (q15_t)0x64b0, (q15_t)0x64ac, + (q15_t)0x64a8, (q15_t)0x64a4, (q15_t)0x64a0, (q15_t)0x649c, (q15_t)0x6499, (q15_t)0x6495, (q15_t)0x6491, (q15_t)0x648d, + (q15_t)0x6489, (q15_t)0x6485, (q15_t)0x6481, (q15_t)0x647d, (q15_t)0x6479, (q15_t)0x6476, (q15_t)0x6472, (q15_t)0x646e, + (q15_t)0x646a, (q15_t)0x6466, (q15_t)0x6462, (q15_t)0x645e, (q15_t)0x645a, (q15_t)0x6456, (q15_t)0x6453, (q15_t)0x644f, + (q15_t)0x644b, (q15_t)0x6447, (q15_t)0x6443, (q15_t)0x643f, (q15_t)0x643b, (q15_t)0x6437, (q15_t)0x6433, (q15_t)0x642f, + (q15_t)0x642b, (q15_t)0x6428, (q15_t)0x6424, (q15_t)0x6420, (q15_t)0x641c, (q15_t)0x6418, (q15_t)0x6414, (q15_t)0x6410, + (q15_t)0x640c, (q15_t)0x6408, (q15_t)0x6404, (q15_t)0x6400, (q15_t)0x63fc, (q15_t)0x63f9, (q15_t)0x63f5, (q15_t)0x63f1, + (q15_t)0x63ed, (q15_t)0x63e9, (q15_t)0x63e5, (q15_t)0x63e1, (q15_t)0x63dd, (q15_t)0x63d9, (q15_t)0x63d5, (q15_t)0x63d1, + (q15_t)0x63cd, (q15_t)0x63c9, (q15_t)0x63c5, (q15_t)0x63c1, (q15_t)0x63be, (q15_t)0x63ba, (q15_t)0x63b6, (q15_t)0x63b2, + (q15_t)0x63ae, (q15_t)0x63aa, (q15_t)0x63a6, (q15_t)0x63a2, (q15_t)0x639e, (q15_t)0x639a, (q15_t)0x6396, (q15_t)0x6392, + (q15_t)0x638e, (q15_t)0x638a, (q15_t)0x6386, (q15_t)0x6382, (q15_t)0x637e, (q15_t)0x637a, (q15_t)0x6377, (q15_t)0x6373, + (q15_t)0x636f, (q15_t)0x636b, (q15_t)0x6367, (q15_t)0x6363, (q15_t)0x635f, (q15_t)0x635b, (q15_t)0x6357, (q15_t)0x6353, + (q15_t)0x634f, (q15_t)0x634b, (q15_t)0x6347, (q15_t)0x6343, (q15_t)0x633f, (q15_t)0x633b, (q15_t)0x6337, (q15_t)0x6333, + (q15_t)0x632f, (q15_t)0x632b, (q15_t)0x6327, (q15_t)0x6323, (q15_t)0x631f, (q15_t)0x631b, (q15_t)0x6317, (q15_t)0x6313, + (q15_t)0x630f, (q15_t)0x630b, (q15_t)0x6307, (q15_t)0x6303, (q15_t)0x62ff, (q15_t)0x62fb, (q15_t)0x62f7, (q15_t)0x62f3, + (q15_t)0x62f0, (q15_t)0x62ec, (q15_t)0x62e8, (q15_t)0x62e4, (q15_t)0x62e0, (q15_t)0x62dc, (q15_t)0x62d8, (q15_t)0x62d4, + (q15_t)0x62d0, (q15_t)0x62cc, (q15_t)0x62c8, (q15_t)0x62c4, (q15_t)0x62c0, (q15_t)0x62bc, (q15_t)0x62b8, (q15_t)0x62b4, + (q15_t)0x62b0, (q15_t)0x62ac, (q15_t)0x62a8, (q15_t)0x62a4, (q15_t)0x62a0, (q15_t)0x629c, (q15_t)0x6298, (q15_t)0x6294, + (q15_t)0x6290, (q15_t)0x628c, (q15_t)0x6288, (q15_t)0x6284, (q15_t)0x6280, (q15_t)0x627c, (q15_t)0x6278, (q15_t)0x6273, + (q15_t)0x626f, (q15_t)0x626b, (q15_t)0x6267, (q15_t)0x6263, (q15_t)0x625f, (q15_t)0x625b, (q15_t)0x6257, (q15_t)0x6253, + (q15_t)0x624f, (q15_t)0x624b, (q15_t)0x6247, (q15_t)0x6243, (q15_t)0x623f, (q15_t)0x623b, (q15_t)0x6237, (q15_t)0x6233, + (q15_t)0x622f, (q15_t)0x622b, (q15_t)0x6227, (q15_t)0x6223, (q15_t)0x621f, (q15_t)0x621b, (q15_t)0x6217, (q15_t)0x6213, + (q15_t)0x620f, (q15_t)0x620b, (q15_t)0x6207, (q15_t)0x6203, (q15_t)0x61ff, (q15_t)0x61fb, (q15_t)0x61f7, (q15_t)0x61f3, + (q15_t)0x61ee, (q15_t)0x61ea, (q15_t)0x61e6, (q15_t)0x61e2, (q15_t)0x61de, (q15_t)0x61da, (q15_t)0x61d6, (q15_t)0x61d2, + (q15_t)0x61ce, (q15_t)0x61ca, (q15_t)0x61c6, (q15_t)0x61c2, (q15_t)0x61be, (q15_t)0x61ba, (q15_t)0x61b6, (q15_t)0x61b2, + (q15_t)0x61ae, (q15_t)0x61aa, (q15_t)0x61a6, (q15_t)0x61a1, (q15_t)0x619d, (q15_t)0x6199, (q15_t)0x6195, (q15_t)0x6191, + (q15_t)0x618d, (q15_t)0x6189, (q15_t)0x6185, (q15_t)0x6181, (q15_t)0x617d, (q15_t)0x6179, (q15_t)0x6175, (q15_t)0x6171, + (q15_t)0x616d, (q15_t)0x6168, (q15_t)0x6164, (q15_t)0x6160, (q15_t)0x615c, (q15_t)0x6158, (q15_t)0x6154, (q15_t)0x6150, + (q15_t)0x614c, (q15_t)0x6148, (q15_t)0x6144, (q15_t)0x6140, (q15_t)0x613c, (q15_t)0x6137, (q15_t)0x6133, (q15_t)0x612f, + (q15_t)0x612b, (q15_t)0x6127, (q15_t)0x6123, (q15_t)0x611f, (q15_t)0x611b, (q15_t)0x6117, (q15_t)0x6113, (q15_t)0x610f, + (q15_t)0x610a, (q15_t)0x6106, (q15_t)0x6102, (q15_t)0x60fe, (q15_t)0x60fa, (q15_t)0x60f6, (q15_t)0x60f2, (q15_t)0x60ee, + (q15_t)0x60ea, (q15_t)0x60e6, (q15_t)0x60e1, (q15_t)0x60dd, (q15_t)0x60d9, (q15_t)0x60d5, (q15_t)0x60d1, (q15_t)0x60cd, + (q15_t)0x60c9, (q15_t)0x60c5, (q15_t)0x60c1, (q15_t)0x60bc, (q15_t)0x60b8, (q15_t)0x60b4, (q15_t)0x60b0, (q15_t)0x60ac, + (q15_t)0x60a8, (q15_t)0x60a4, (q15_t)0x60a0, (q15_t)0x609c, (q15_t)0x6097, (q15_t)0x6093, (q15_t)0x608f, (q15_t)0x608b, + (q15_t)0x6087, (q15_t)0x6083, (q15_t)0x607f, (q15_t)0x607b, (q15_t)0x6076, (q15_t)0x6072, (q15_t)0x606e, (q15_t)0x606a, + (q15_t)0x6066, (q15_t)0x6062, (q15_t)0x605e, (q15_t)0x6059, (q15_t)0x6055, (q15_t)0x6051, (q15_t)0x604d, (q15_t)0x6049, + (q15_t)0x6045, (q15_t)0x6041, (q15_t)0x603c, (q15_t)0x6038, (q15_t)0x6034, (q15_t)0x6030, (q15_t)0x602c, (q15_t)0x6028, + (q15_t)0x6024, (q15_t)0x601f, (q15_t)0x601b, (q15_t)0x6017, (q15_t)0x6013, (q15_t)0x600f, (q15_t)0x600b, (q15_t)0x6007, + (q15_t)0x6002, (q15_t)0x5ffe, (q15_t)0x5ffa, (q15_t)0x5ff6, (q15_t)0x5ff2, (q15_t)0x5fee, (q15_t)0x5fe9, (q15_t)0x5fe5, + (q15_t)0x5fe1, (q15_t)0x5fdd, (q15_t)0x5fd9, (q15_t)0x5fd5, (q15_t)0x5fd0, (q15_t)0x5fcc, (q15_t)0x5fc8, (q15_t)0x5fc4, + (q15_t)0x5fc0, (q15_t)0x5fbc, (q15_t)0x5fb7, (q15_t)0x5fb3, (q15_t)0x5faf, (q15_t)0x5fab, (q15_t)0x5fa7, (q15_t)0x5fa3, + (q15_t)0x5f9e, (q15_t)0x5f9a, (q15_t)0x5f96, (q15_t)0x5f92, (q15_t)0x5f8e, (q15_t)0x5f8a, (q15_t)0x5f85, (q15_t)0x5f81, + (q15_t)0x5f7d, (q15_t)0x5f79, (q15_t)0x5f75, (q15_t)0x5f70, (q15_t)0x5f6c, (q15_t)0x5f68, (q15_t)0x5f64, (q15_t)0x5f60, + (q15_t)0x5f5b, (q15_t)0x5f57, (q15_t)0x5f53, (q15_t)0x5f4f, (q15_t)0x5f4b, (q15_t)0x5f46, (q15_t)0x5f42, (q15_t)0x5f3e, + (q15_t)0x5f3a, (q15_t)0x5f36, (q15_t)0x5f31, (q15_t)0x5f2d, (q15_t)0x5f29, (q15_t)0x5f25, (q15_t)0x5f21, (q15_t)0x5f1c, + (q15_t)0x5f18, (q15_t)0x5f14, (q15_t)0x5f10, (q15_t)0x5f0c, (q15_t)0x5f07, (q15_t)0x5f03, (q15_t)0x5eff, (q15_t)0x5efb, + (q15_t)0x5ef7, (q15_t)0x5ef2, (q15_t)0x5eee, (q15_t)0x5eea, (q15_t)0x5ee6, (q15_t)0x5ee2, (q15_t)0x5edd, (q15_t)0x5ed9, + (q15_t)0x5ed5, (q15_t)0x5ed1, (q15_t)0x5ecc, (q15_t)0x5ec8, (q15_t)0x5ec4, (q15_t)0x5ec0, (q15_t)0x5ebc, (q15_t)0x5eb7, + (q15_t)0x5eb3, (q15_t)0x5eaf, (q15_t)0x5eab, (q15_t)0x5ea6, (q15_t)0x5ea2, (q15_t)0x5e9e, (q15_t)0x5e9a, (q15_t)0x5e95, + (q15_t)0x5e91, (q15_t)0x5e8d, (q15_t)0x5e89, (q15_t)0x5e85, (q15_t)0x5e80, (q15_t)0x5e7c, (q15_t)0x5e78, (q15_t)0x5e74, + (q15_t)0x5e6f, (q15_t)0x5e6b, (q15_t)0x5e67, (q15_t)0x5e63, (q15_t)0x5e5e, (q15_t)0x5e5a, (q15_t)0x5e56, (q15_t)0x5e52, + (q15_t)0x5e4d, (q15_t)0x5e49, (q15_t)0x5e45, (q15_t)0x5e41, (q15_t)0x5e3c, (q15_t)0x5e38, (q15_t)0x5e34, (q15_t)0x5e30, + (q15_t)0x5e2b, (q15_t)0x5e27, (q15_t)0x5e23, (q15_t)0x5e1f, (q15_t)0x5e1a, (q15_t)0x5e16, (q15_t)0x5e12, (q15_t)0x5e0e, + (q15_t)0x5e09, (q15_t)0x5e05, (q15_t)0x5e01, (q15_t)0x5dfd, (q15_t)0x5df8, (q15_t)0x5df4, (q15_t)0x5df0, (q15_t)0x5deb, + (q15_t)0x5de7, (q15_t)0x5de3, (q15_t)0x5ddf, (q15_t)0x5dda, (q15_t)0x5dd6, (q15_t)0x5dd2, (q15_t)0x5dce, (q15_t)0x5dc9, + (q15_t)0x5dc5, (q15_t)0x5dc1, (q15_t)0x5dbc, (q15_t)0x5db8, (q15_t)0x5db4, (q15_t)0x5db0, (q15_t)0x5dab, (q15_t)0x5da7, + (q15_t)0x5da3, (q15_t)0x5d9e, (q15_t)0x5d9a, (q15_t)0x5d96, (q15_t)0x5d92, (q15_t)0x5d8d, (q15_t)0x5d89, (q15_t)0x5d85, + (q15_t)0x5d80, (q15_t)0x5d7c, (q15_t)0x5d78, (q15_t)0x5d74, (q15_t)0x5d6f, (q15_t)0x5d6b, (q15_t)0x5d67, (q15_t)0x5d62, + (q15_t)0x5d5e, (q15_t)0x5d5a, (q15_t)0x5d55, (q15_t)0x5d51, (q15_t)0x5d4d, (q15_t)0x5d49, (q15_t)0x5d44, (q15_t)0x5d40, + (q15_t)0x5d3c, (q15_t)0x5d37, (q15_t)0x5d33, (q15_t)0x5d2f, (q15_t)0x5d2a, (q15_t)0x5d26, (q15_t)0x5d22, (q15_t)0x5d1e, + (q15_t)0x5d19, (q15_t)0x5d15, (q15_t)0x5d11, (q15_t)0x5d0c, (q15_t)0x5d08, (q15_t)0x5d04, (q15_t)0x5cff, (q15_t)0x5cfb, + (q15_t)0x5cf7, (q15_t)0x5cf2, (q15_t)0x5cee, (q15_t)0x5cea, (q15_t)0x5ce5, (q15_t)0x5ce1, (q15_t)0x5cdd, (q15_t)0x5cd8, + (q15_t)0x5cd4, (q15_t)0x5cd0, (q15_t)0x5ccb, (q15_t)0x5cc7, (q15_t)0x5cc3, (q15_t)0x5cbe, (q15_t)0x5cba, (q15_t)0x5cb6, + (q15_t)0x5cb1, (q15_t)0x5cad, (q15_t)0x5ca9, (q15_t)0x5ca4, (q15_t)0x5ca0, (q15_t)0x5c9c, (q15_t)0x5c97, (q15_t)0x5c93, + (q15_t)0x5c8f, (q15_t)0x5c8a, (q15_t)0x5c86, (q15_t)0x5c82, (q15_t)0x5c7d, (q15_t)0x5c79, (q15_t)0x5c75, (q15_t)0x5c70, + (q15_t)0x5c6c, (q15_t)0x5c68, (q15_t)0x5c63, (q15_t)0x5c5f, (q15_t)0x5c5b, (q15_t)0x5c56, (q15_t)0x5c52, (q15_t)0x5c4e, + (q15_t)0x5c49, (q15_t)0x5c45, (q15_t)0x5c41, (q15_t)0x5c3c, (q15_t)0x5c38, (q15_t)0x5c33, (q15_t)0x5c2f, (q15_t)0x5c2b, + (q15_t)0x5c26, (q15_t)0x5c22, (q15_t)0x5c1e, (q15_t)0x5c19, (q15_t)0x5c15, (q15_t)0x5c11, (q15_t)0x5c0c, (q15_t)0x5c08, + (q15_t)0x5c03, (q15_t)0x5bff, (q15_t)0x5bfb, (q15_t)0x5bf6, (q15_t)0x5bf2, (q15_t)0x5bee, (q15_t)0x5be9, (q15_t)0x5be5, + (q15_t)0x5be0, (q15_t)0x5bdc, (q15_t)0x5bd8, (q15_t)0x5bd3, (q15_t)0x5bcf, (q15_t)0x5bcb, (q15_t)0x5bc6, (q15_t)0x5bc2, + (q15_t)0x5bbd, (q15_t)0x5bb9, (q15_t)0x5bb5, (q15_t)0x5bb0, (q15_t)0x5bac, (q15_t)0x5ba8, (q15_t)0x5ba3, (q15_t)0x5b9f, + (q15_t)0x5b9a, (q15_t)0x5b96, (q15_t)0x5b92, (q15_t)0x5b8d, (q15_t)0x5b89, (q15_t)0x5b84, (q15_t)0x5b80, (q15_t)0x5b7c, + (q15_t)0x5b77, (q15_t)0x5b73, (q15_t)0x5b6e, (q15_t)0x5b6a, (q15_t)0x5b66, (q15_t)0x5b61, (q15_t)0x5b5d, (q15_t)0x5b58, + (q15_t)0x5b54, (q15_t)0x5b50, (q15_t)0x5b4b, (q15_t)0x5b47, (q15_t)0x5b42, (q15_t)0x5b3e, (q15_t)0x5b3a, (q15_t)0x5b35, + (q15_t)0x5b31, (q15_t)0x5b2c, (q15_t)0x5b28, (q15_t)0x5b24, (q15_t)0x5b1f, (q15_t)0x5b1b, (q15_t)0x5b16, (q15_t)0x5b12, + (q15_t)0x5b0e, (q15_t)0x5b09, (q15_t)0x5b05, (q15_t)0x5b00, (q15_t)0x5afc, (q15_t)0x5af7, (q15_t)0x5af3, (q15_t)0x5aef, + (q15_t)0x5aea, (q15_t)0x5ae6, (q15_t)0x5ae1, (q15_t)0x5add, (q15_t)0x5ad8, (q15_t)0x5ad4, (q15_t)0x5ad0, (q15_t)0x5acb, + (q15_t)0x5ac7, (q15_t)0x5ac2, (q15_t)0x5abe, (q15_t)0x5ab9, (q15_t)0x5ab5, (q15_t)0x5ab1, (q15_t)0x5aac, (q15_t)0x5aa8, + (q15_t)0x5aa3, (q15_t)0x5a9f, (q15_t)0x5a9a, (q15_t)0x5a96, (q15_t)0x5a92, (q15_t)0x5a8d, (q15_t)0x5a89, (q15_t)0x5a84, + (q15_t)0x5a80, (q15_t)0x5a7b, (q15_t)0x5a77, (q15_t)0x5a72, (q15_t)0x5a6e, (q15_t)0x5a6a, (q15_t)0x5a65, (q15_t)0x5a61, + (q15_t)0x5a5c, (q15_t)0x5a58, (q15_t)0x5a53, (q15_t)0x5a4f, (q15_t)0x5a4a, (q15_t)0x5a46, (q15_t)0x5a41, (q15_t)0x5a3d, + (q15_t)0x5a39, (q15_t)0x5a34, (q15_t)0x5a30, (q15_t)0x5a2b, (q15_t)0x5a27, (q15_t)0x5a22, (q15_t)0x5a1e, (q15_t)0x5a19, + (q15_t)0x5a15, (q15_t)0x5a10, (q15_t)0x5a0c, (q15_t)0x5a07, (q15_t)0x5a03, (q15_t)0x59ff, (q15_t)0x59fa, (q15_t)0x59f6, + (q15_t)0x59f1, (q15_t)0x59ed, (q15_t)0x59e8, (q15_t)0x59e4, (q15_t)0x59df, (q15_t)0x59db, (q15_t)0x59d6, (q15_t)0x59d2, + (q15_t)0x59cd, (q15_t)0x59c9, (q15_t)0x59c4, (q15_t)0x59c0, (q15_t)0x59bb, (q15_t)0x59b7, (q15_t)0x59b2, (q15_t)0x59ae, + (q15_t)0x59a9, (q15_t)0x59a5, (q15_t)0x59a1, (q15_t)0x599c, (q15_t)0x5998, (q15_t)0x5993, (q15_t)0x598f, (q15_t)0x598a, + (q15_t)0x5986, (q15_t)0x5981, (q15_t)0x597d, (q15_t)0x5978, (q15_t)0x5974, (q15_t)0x596f, (q15_t)0x596b, (q15_t)0x5966, + (q15_t)0x5962, (q15_t)0x595d, (q15_t)0x5959, (q15_t)0x5954, (q15_t)0x5950, (q15_t)0x594b, (q15_t)0x5947, (q15_t)0x5942, + (q15_t)0x593e, (q15_t)0x5939, (q15_t)0x5935, (q15_t)0x5930, (q15_t)0x592c, (q15_t)0x5927, (q15_t)0x5923, (q15_t)0x591e, + (q15_t)0x591a, (q15_t)0x5915, (q15_t)0x5911, (q15_t)0x590c, (q15_t)0x5908, (q15_t)0x5903, (q15_t)0x58fe, (q15_t)0x58fa, + (q15_t)0x58f5, (q15_t)0x58f1, (q15_t)0x58ec, (q15_t)0x58e8, (q15_t)0x58e3, (q15_t)0x58df, (q15_t)0x58da, (q15_t)0x58d6, + (q15_t)0x58d1, (q15_t)0x58cd, (q15_t)0x58c8, (q15_t)0x58c4, (q15_t)0x58bf, (q15_t)0x58bb, (q15_t)0x58b6, (q15_t)0x58b2, + (q15_t)0x58ad, (q15_t)0x58a9, (q15_t)0x58a4, (q15_t)0x589f, (q15_t)0x589b, (q15_t)0x5896, (q15_t)0x5892, (q15_t)0x588d, + (q15_t)0x5889, (q15_t)0x5884, (q15_t)0x5880, (q15_t)0x587b, (q15_t)0x5877, (q15_t)0x5872, (q15_t)0x586e, (q15_t)0x5869, + (q15_t)0x5864, (q15_t)0x5860, (q15_t)0x585b, (q15_t)0x5857, (q15_t)0x5852, (q15_t)0x584e, (q15_t)0x5849, (q15_t)0x5845, + (q15_t)0x5840, (q15_t)0x583c, (q15_t)0x5837, (q15_t)0x5832, (q15_t)0x582e, (q15_t)0x5829, (q15_t)0x5825, (q15_t)0x5820, + (q15_t)0x581c, (q15_t)0x5817, (q15_t)0x5813, (q15_t)0x580e, (q15_t)0x5809, (q15_t)0x5805, (q15_t)0x5800, (q15_t)0x57fc, + (q15_t)0x57f7, (q15_t)0x57f3, (q15_t)0x57ee, (q15_t)0x57e9, (q15_t)0x57e5, (q15_t)0x57e0, (q15_t)0x57dc, (q15_t)0x57d7, + (q15_t)0x57d3, (q15_t)0x57ce, (q15_t)0x57c9, (q15_t)0x57c5, (q15_t)0x57c0, (q15_t)0x57bc, (q15_t)0x57b7, (q15_t)0x57b3, + (q15_t)0x57ae, (q15_t)0x57a9, (q15_t)0x57a5, (q15_t)0x57a0, (q15_t)0x579c, (q15_t)0x5797, (q15_t)0x5793, (q15_t)0x578e, + (q15_t)0x5789, (q15_t)0x5785, (q15_t)0x5780, (q15_t)0x577c, (q15_t)0x5777, (q15_t)0x5772, (q15_t)0x576e, (q15_t)0x5769, + (q15_t)0x5765, (q15_t)0x5760, (q15_t)0x575c, (q15_t)0x5757, (q15_t)0x5752, (q15_t)0x574e, (q15_t)0x5749, (q15_t)0x5745, + (q15_t)0x5740, (q15_t)0x573b, (q15_t)0x5737, (q15_t)0x5732, (q15_t)0x572e, (q15_t)0x5729, (q15_t)0x5724, (q15_t)0x5720, + (q15_t)0x571b, (q15_t)0x5717, (q15_t)0x5712, (q15_t)0x570d, (q15_t)0x5709, (q15_t)0x5704, (q15_t)0x56ff, (q15_t)0x56fb, + (q15_t)0x56f6, (q15_t)0x56f2, (q15_t)0x56ed, (q15_t)0x56e8, (q15_t)0x56e4, (q15_t)0x56df, (q15_t)0x56db, (q15_t)0x56d6, + (q15_t)0x56d1, (q15_t)0x56cd, (q15_t)0x56c8, (q15_t)0x56c4, (q15_t)0x56bf, (q15_t)0x56ba, (q15_t)0x56b6, (q15_t)0x56b1, + (q15_t)0x56ac, (q15_t)0x56a8, (q15_t)0x56a3, (q15_t)0x569f, (q15_t)0x569a, (q15_t)0x5695, (q15_t)0x5691, (q15_t)0x568c, + (q15_t)0x5687, (q15_t)0x5683, (q15_t)0x567e, (q15_t)0x5679, (q15_t)0x5675, (q15_t)0x5670, (q15_t)0x566c, (q15_t)0x5667, + (q15_t)0x5662, (q15_t)0x565e, (q15_t)0x5659, (q15_t)0x5654, (q15_t)0x5650, (q15_t)0x564b, (q15_t)0x5646, (q15_t)0x5642, + (q15_t)0x563d, (q15_t)0x5639, (q15_t)0x5634, (q15_t)0x562f, (q15_t)0x562b, (q15_t)0x5626, (q15_t)0x5621, (q15_t)0x561d, + (q15_t)0x5618, (q15_t)0x5613, (q15_t)0x560f, (q15_t)0x560a, (q15_t)0x5605, (q15_t)0x5601, (q15_t)0x55fc, (q15_t)0x55f7, + (q15_t)0x55f3, (q15_t)0x55ee, (q15_t)0x55ea, (q15_t)0x55e5, (q15_t)0x55e0, (q15_t)0x55dc, (q15_t)0x55d7, (q15_t)0x55d2, + (q15_t)0x55ce, (q15_t)0x55c9, (q15_t)0x55c4, (q15_t)0x55c0, (q15_t)0x55bb, (q15_t)0x55b6, (q15_t)0x55b2, (q15_t)0x55ad, + (q15_t)0x55a8, (q15_t)0x55a4, (q15_t)0x559f, (q15_t)0x559a, (q15_t)0x5596, (q15_t)0x5591, (q15_t)0x558c, (q15_t)0x5588, + (q15_t)0x5583, (q15_t)0x557e, (q15_t)0x5579, (q15_t)0x5575, (q15_t)0x5570, (q15_t)0x556b, (q15_t)0x5567, (q15_t)0x5562, + (q15_t)0x555d, (q15_t)0x5559, (q15_t)0x5554, (q15_t)0x554f, (q15_t)0x554b, (q15_t)0x5546, (q15_t)0x5541, (q15_t)0x553d, + (q15_t)0x5538, (q15_t)0x5533, (q15_t)0x552f, (q15_t)0x552a, (q15_t)0x5525, (q15_t)0x5520, (q15_t)0x551c, (q15_t)0x5517, + (q15_t)0x5512, (q15_t)0x550e, (q15_t)0x5509, (q15_t)0x5504, (q15_t)0x5500, (q15_t)0x54fb, (q15_t)0x54f6, (q15_t)0x54f2, + (q15_t)0x54ed, (q15_t)0x54e8, (q15_t)0x54e3, (q15_t)0x54df, (q15_t)0x54da, (q15_t)0x54d5, (q15_t)0x54d1, (q15_t)0x54cc, + (q15_t)0x54c7, (q15_t)0x54c2, (q15_t)0x54be, (q15_t)0x54b9, (q15_t)0x54b4, (q15_t)0x54b0, (q15_t)0x54ab, (q15_t)0x54a6, + (q15_t)0x54a2, (q15_t)0x549d, (q15_t)0x5498, (q15_t)0x5493, (q15_t)0x548f, (q15_t)0x548a, (q15_t)0x5485, (q15_t)0x5480, + (q15_t)0x547c, (q15_t)0x5477, (q15_t)0x5472, (q15_t)0x546e, (q15_t)0x5469, (q15_t)0x5464, (q15_t)0x545f, (q15_t)0x545b, + (q15_t)0x5456, (q15_t)0x5451, (q15_t)0x544d, (q15_t)0x5448, (q15_t)0x5443, (q15_t)0x543e, (q15_t)0x543a, (q15_t)0x5435, + (q15_t)0x5430, (q15_t)0x542b, (q15_t)0x5427, (q15_t)0x5422, (q15_t)0x541d, (q15_t)0x5418, (q15_t)0x5414, (q15_t)0x540f, + (q15_t)0x540a, (q15_t)0x5406, (q15_t)0x5401, (q15_t)0x53fc, (q15_t)0x53f7, (q15_t)0x53f3, (q15_t)0x53ee, (q15_t)0x53e9, + (q15_t)0x53e4, (q15_t)0x53e0, (q15_t)0x53db, (q15_t)0x53d6, (q15_t)0x53d1, (q15_t)0x53cd, (q15_t)0x53c8, (q15_t)0x53c3, + (q15_t)0x53be, (q15_t)0x53ba, (q15_t)0x53b5, (q15_t)0x53b0, (q15_t)0x53ab, (q15_t)0x53a7, (q15_t)0x53a2, (q15_t)0x539d, + (q15_t)0x5398, (q15_t)0x5394, (q15_t)0x538f, (q15_t)0x538a, (q15_t)0x5385, (q15_t)0x5380, (q15_t)0x537c, (q15_t)0x5377, + (q15_t)0x5372, (q15_t)0x536d, (q15_t)0x5369, (q15_t)0x5364, (q15_t)0x535f, (q15_t)0x535a, (q15_t)0x5356, (q15_t)0x5351, + (q15_t)0x534c, (q15_t)0x5347, (q15_t)0x5343, (q15_t)0x533e, (q15_t)0x5339, (q15_t)0x5334, (q15_t)0x532f, (q15_t)0x532b, + (q15_t)0x5326, (q15_t)0x5321, (q15_t)0x531c, (q15_t)0x5318, (q15_t)0x5313, (q15_t)0x530e, (q15_t)0x5309, (q15_t)0x5304, + (q15_t)0x5300, (q15_t)0x52fb, (q15_t)0x52f6, (q15_t)0x52f1, (q15_t)0x52ec, (q15_t)0x52e8, (q15_t)0x52e3, (q15_t)0x52de, + (q15_t)0x52d9, (q15_t)0x52d5, (q15_t)0x52d0, (q15_t)0x52cb, (q15_t)0x52c6, (q15_t)0x52c1, (q15_t)0x52bd, (q15_t)0x52b8, + (q15_t)0x52b3, (q15_t)0x52ae, (q15_t)0x52a9, (q15_t)0x52a5, (q15_t)0x52a0, (q15_t)0x529b, (q15_t)0x5296, (q15_t)0x5291, + (q15_t)0x528d, (q15_t)0x5288, (q15_t)0x5283, (q15_t)0x527e, (q15_t)0x5279, (q15_t)0x5275, (q15_t)0x5270, (q15_t)0x526b, + (q15_t)0x5266, (q15_t)0x5261, (q15_t)0x525d, (q15_t)0x5258, (q15_t)0x5253, (q15_t)0x524e, (q15_t)0x5249, (q15_t)0x5244, + (q15_t)0x5240, (q15_t)0x523b, (q15_t)0x5236, (q15_t)0x5231, (q15_t)0x522c, (q15_t)0x5228, (q15_t)0x5223, (q15_t)0x521e, + (q15_t)0x5219, (q15_t)0x5214, (q15_t)0x520f, (q15_t)0x520b, (q15_t)0x5206, (q15_t)0x5201, (q15_t)0x51fc, (q15_t)0x51f7, + (q15_t)0x51f3, (q15_t)0x51ee, (q15_t)0x51e9, (q15_t)0x51e4, (q15_t)0x51df, (q15_t)0x51da, (q15_t)0x51d6, (q15_t)0x51d1, + (q15_t)0x51cc, (q15_t)0x51c7, (q15_t)0x51c2, (q15_t)0x51bd, (q15_t)0x51b9, (q15_t)0x51b4, (q15_t)0x51af, (q15_t)0x51aa, + (q15_t)0x51a5, (q15_t)0x51a0, (q15_t)0x519c, (q15_t)0x5197, (q15_t)0x5192, (q15_t)0x518d, (q15_t)0x5188, (q15_t)0x5183, + (q15_t)0x517e, (q15_t)0x517a, (q15_t)0x5175, (q15_t)0x5170, (q15_t)0x516b, (q15_t)0x5166, (q15_t)0x5161, (q15_t)0x515d, + (q15_t)0x5158, (q15_t)0x5153, (q15_t)0x514e, (q15_t)0x5149, (q15_t)0x5144, (q15_t)0x513f, (q15_t)0x513b, (q15_t)0x5136, + (q15_t)0x5131, (q15_t)0x512c, (q15_t)0x5127, (q15_t)0x5122, (q15_t)0x511d, (q15_t)0x5119, (q15_t)0x5114, (q15_t)0x510f, + (q15_t)0x510a, (q15_t)0x5105, (q15_t)0x5100, (q15_t)0x50fb, (q15_t)0x50f7, (q15_t)0x50f2, (q15_t)0x50ed, (q15_t)0x50e8, + (q15_t)0x50e3, (q15_t)0x50de, (q15_t)0x50d9, (q15_t)0x50d4, (q15_t)0x50d0, (q15_t)0x50cb, (q15_t)0x50c6, (q15_t)0x50c1, + (q15_t)0x50bc, (q15_t)0x50b7, (q15_t)0x50b2, (q15_t)0x50ad, (q15_t)0x50a9, (q15_t)0x50a4, (q15_t)0x509f, (q15_t)0x509a, + (q15_t)0x5095, (q15_t)0x5090, (q15_t)0x508b, (q15_t)0x5086, (q15_t)0x5082, (q15_t)0x507d, (q15_t)0x5078, (q15_t)0x5073, + (q15_t)0x506e, (q15_t)0x5069, (q15_t)0x5064, (q15_t)0x505f, (q15_t)0x505a, (q15_t)0x5056, (q15_t)0x5051, (q15_t)0x504c, + (q15_t)0x5047, (q15_t)0x5042, (q15_t)0x503d, (q15_t)0x5038, (q15_t)0x5033, (q15_t)0x502e, (q15_t)0x5029, (q15_t)0x5025, + (q15_t)0x5020, (q15_t)0x501b, (q15_t)0x5016, (q15_t)0x5011, (q15_t)0x500c, (q15_t)0x5007, (q15_t)0x5002, (q15_t)0x4ffd, + (q15_t)0x4ff8, (q15_t)0x4ff4, (q15_t)0x4fef, (q15_t)0x4fea, (q15_t)0x4fe5, (q15_t)0x4fe0, (q15_t)0x4fdb, (q15_t)0x4fd6, + (q15_t)0x4fd1, (q15_t)0x4fcc, (q15_t)0x4fc7, (q15_t)0x4fc2, (q15_t)0x4fbe, (q15_t)0x4fb9, (q15_t)0x4fb4, (q15_t)0x4faf, + (q15_t)0x4faa, (q15_t)0x4fa5, (q15_t)0x4fa0, (q15_t)0x4f9b, (q15_t)0x4f96, (q15_t)0x4f91, (q15_t)0x4f8c, (q15_t)0x4f87, + (q15_t)0x4f82, (q15_t)0x4f7e, (q15_t)0x4f79, (q15_t)0x4f74, (q15_t)0x4f6f, (q15_t)0x4f6a, (q15_t)0x4f65, (q15_t)0x4f60, + (q15_t)0x4f5b, (q15_t)0x4f56, (q15_t)0x4f51, (q15_t)0x4f4c, (q15_t)0x4f47, (q15_t)0x4f42, (q15_t)0x4f3d, (q15_t)0x4f39, + (q15_t)0x4f34, (q15_t)0x4f2f, (q15_t)0x4f2a, (q15_t)0x4f25, (q15_t)0x4f20, (q15_t)0x4f1b, (q15_t)0x4f16, (q15_t)0x4f11, + (q15_t)0x4f0c, (q15_t)0x4f07, (q15_t)0x4f02, (q15_t)0x4efd, (q15_t)0x4ef8, (q15_t)0x4ef3, (q15_t)0x4eee, (q15_t)0x4ee9, + (q15_t)0x4ee5, (q15_t)0x4ee0, (q15_t)0x4edb, (q15_t)0x4ed6, (q15_t)0x4ed1, (q15_t)0x4ecc, (q15_t)0x4ec7, (q15_t)0x4ec2, + (q15_t)0x4ebd, (q15_t)0x4eb8, (q15_t)0x4eb3, (q15_t)0x4eae, (q15_t)0x4ea9, (q15_t)0x4ea4, (q15_t)0x4e9f, (q15_t)0x4e9a, + (q15_t)0x4e95, (q15_t)0x4e90, (q15_t)0x4e8b, (q15_t)0x4e86, (q15_t)0x4e81, (q15_t)0x4e7c, (q15_t)0x4e78, (q15_t)0x4e73, + (q15_t)0x4e6e, (q15_t)0x4e69, (q15_t)0x4e64, (q15_t)0x4e5f, (q15_t)0x4e5a, (q15_t)0x4e55, (q15_t)0x4e50, (q15_t)0x4e4b, + (q15_t)0x4e46, (q15_t)0x4e41, (q15_t)0x4e3c, (q15_t)0x4e37, (q15_t)0x4e32, (q15_t)0x4e2d, (q15_t)0x4e28, (q15_t)0x4e23, + (q15_t)0x4e1e, (q15_t)0x4e19, (q15_t)0x4e14, (q15_t)0x4e0f, (q15_t)0x4e0a, (q15_t)0x4e05, (q15_t)0x4e00, (q15_t)0x4dfb, + (q15_t)0x4df6, (q15_t)0x4df1, (q15_t)0x4dec, (q15_t)0x4de7, (q15_t)0x4de2, (q15_t)0x4ddd, (q15_t)0x4dd8, (q15_t)0x4dd3, + (q15_t)0x4dce, (q15_t)0x4dc9, (q15_t)0x4dc4, (q15_t)0x4dbf, (q15_t)0x4dba, (q15_t)0x4db5, (q15_t)0x4db0, (q15_t)0x4dab, + (q15_t)0x4da6, (q15_t)0x4da1, (q15_t)0x4d9c, (q15_t)0x4d97, (q15_t)0x4d92, (q15_t)0x4d8d, (q15_t)0x4d88, (q15_t)0x4d83, + (q15_t)0x4d7e, (q15_t)0x4d79, (q15_t)0x4d74, (q15_t)0x4d6f, (q15_t)0x4d6a, (q15_t)0x4d65, (q15_t)0x4d60, (q15_t)0x4d5b, + (q15_t)0x4d56, (q15_t)0x4d51, (q15_t)0x4d4c, (q15_t)0x4d47, (q15_t)0x4d42, (q15_t)0x4d3d, (q15_t)0x4d38, (q15_t)0x4d33, + (q15_t)0x4d2e, (q15_t)0x4d29, (q15_t)0x4d24, (q15_t)0x4d1f, (q15_t)0x4d1a, (q15_t)0x4d15, (q15_t)0x4d10, (q15_t)0x4d0b, + (q15_t)0x4d06, (q15_t)0x4d01, (q15_t)0x4cfc, (q15_t)0x4cf7, (q15_t)0x4cf2, (q15_t)0x4ced, (q15_t)0x4ce8, (q15_t)0x4ce3, + (q15_t)0x4cde, (q15_t)0x4cd9, (q15_t)0x4cd4, (q15_t)0x4ccf, (q15_t)0x4cca, (q15_t)0x4cc5, (q15_t)0x4cc0, (q15_t)0x4cbb, + (q15_t)0x4cb6, (q15_t)0x4cb1, (q15_t)0x4cac, (q15_t)0x4ca7, (q15_t)0x4ca2, (q15_t)0x4c9d, (q15_t)0x4c98, (q15_t)0x4c93, + (q15_t)0x4c8e, (q15_t)0x4c88, (q15_t)0x4c83, (q15_t)0x4c7e, (q15_t)0x4c79, (q15_t)0x4c74, (q15_t)0x4c6f, (q15_t)0x4c6a, + (q15_t)0x4c65, (q15_t)0x4c60, (q15_t)0x4c5b, (q15_t)0x4c56, (q15_t)0x4c51, (q15_t)0x4c4c, (q15_t)0x4c47, (q15_t)0x4c42, + (q15_t)0x4c3d, (q15_t)0x4c38, (q15_t)0x4c33, (q15_t)0x4c2e, (q15_t)0x4c29, (q15_t)0x4c24, (q15_t)0x4c1f, (q15_t)0x4c1a, + (q15_t)0x4c14, (q15_t)0x4c0f, (q15_t)0x4c0a, (q15_t)0x4c05, (q15_t)0x4c00, (q15_t)0x4bfb, (q15_t)0x4bf6, (q15_t)0x4bf1, + (q15_t)0x4bec, (q15_t)0x4be7, (q15_t)0x4be2, (q15_t)0x4bdd, (q15_t)0x4bd8, (q15_t)0x4bd3, (q15_t)0x4bce, (q15_t)0x4bc9, + (q15_t)0x4bc4, (q15_t)0x4bbe, (q15_t)0x4bb9, (q15_t)0x4bb4, (q15_t)0x4baf, (q15_t)0x4baa, (q15_t)0x4ba5, (q15_t)0x4ba0, + (q15_t)0x4b9b, (q15_t)0x4b96, (q15_t)0x4b91, (q15_t)0x4b8c, (q15_t)0x4b87, (q15_t)0x4b82, (q15_t)0x4b7d, (q15_t)0x4b77, + (q15_t)0x4b72, (q15_t)0x4b6d, (q15_t)0x4b68, (q15_t)0x4b63, (q15_t)0x4b5e, (q15_t)0x4b59, (q15_t)0x4b54, (q15_t)0x4b4f, + (q15_t)0x4b4a, (q15_t)0x4b45, (q15_t)0x4b40, (q15_t)0x4b3b, (q15_t)0x4b35, (q15_t)0x4b30, (q15_t)0x4b2b, (q15_t)0x4b26, + (q15_t)0x4b21, (q15_t)0x4b1c, (q15_t)0x4b17, (q15_t)0x4b12, (q15_t)0x4b0d, (q15_t)0x4b08, (q15_t)0x4b03, (q15_t)0x4afd, + (q15_t)0x4af8, (q15_t)0x4af3, (q15_t)0x4aee, (q15_t)0x4ae9, (q15_t)0x4ae4, (q15_t)0x4adf, (q15_t)0x4ada, (q15_t)0x4ad5, + (q15_t)0x4ad0, (q15_t)0x4acb, (q15_t)0x4ac5, (q15_t)0x4ac0, (q15_t)0x4abb, (q15_t)0x4ab6, (q15_t)0x4ab1, (q15_t)0x4aac, + (q15_t)0x4aa7, (q15_t)0x4aa2, (q15_t)0x4a9d, (q15_t)0x4a97, (q15_t)0x4a92, (q15_t)0x4a8d, (q15_t)0x4a88, (q15_t)0x4a83, + (q15_t)0x4a7e, (q15_t)0x4a79, (q15_t)0x4a74, (q15_t)0x4a6f, (q15_t)0x4a6a, (q15_t)0x4a64, (q15_t)0x4a5f, (q15_t)0x4a5a, + (q15_t)0x4a55, (q15_t)0x4a50, (q15_t)0x4a4b, (q15_t)0x4a46, (q15_t)0x4a41, (q15_t)0x4a3b, (q15_t)0x4a36, (q15_t)0x4a31, + (q15_t)0x4a2c, (q15_t)0x4a27, (q15_t)0x4a22, (q15_t)0x4a1d, (q15_t)0x4a18, (q15_t)0x4a12, (q15_t)0x4a0d, (q15_t)0x4a08, + (q15_t)0x4a03, (q15_t)0x49fe, (q15_t)0x49f9, (q15_t)0x49f4, (q15_t)0x49ef, (q15_t)0x49e9, (q15_t)0x49e4, (q15_t)0x49df, + (q15_t)0x49da, (q15_t)0x49d5, (q15_t)0x49d0, (q15_t)0x49cb, (q15_t)0x49c6, (q15_t)0x49c0, (q15_t)0x49bb, (q15_t)0x49b6, + (q15_t)0x49b1, (q15_t)0x49ac, (q15_t)0x49a7, (q15_t)0x49a2, (q15_t)0x499c, (q15_t)0x4997, (q15_t)0x4992, (q15_t)0x498d, + (q15_t)0x4988, (q15_t)0x4983, (q15_t)0x497e, (q15_t)0x4978, (q15_t)0x4973, (q15_t)0x496e, (q15_t)0x4969, (q15_t)0x4964, + (q15_t)0x495f, (q15_t)0x495a, (q15_t)0x4954, (q15_t)0x494f, (q15_t)0x494a, (q15_t)0x4945, (q15_t)0x4940, (q15_t)0x493b, + (q15_t)0x4936, (q15_t)0x4930, (q15_t)0x492b, (q15_t)0x4926, (q15_t)0x4921, (q15_t)0x491c, (q15_t)0x4917, (q15_t)0x4911, + (q15_t)0x490c, (q15_t)0x4907, (q15_t)0x4902, (q15_t)0x48fd, (q15_t)0x48f8, (q15_t)0x48f2, (q15_t)0x48ed, (q15_t)0x48e8, + (q15_t)0x48e3, (q15_t)0x48de, (q15_t)0x48d9, (q15_t)0x48d3, (q15_t)0x48ce, (q15_t)0x48c9, (q15_t)0x48c4, (q15_t)0x48bf, + (q15_t)0x48ba, (q15_t)0x48b4, (q15_t)0x48af, (q15_t)0x48aa, (q15_t)0x48a5, (q15_t)0x48a0, (q15_t)0x489b, (q15_t)0x4895, + (q15_t)0x4890, (q15_t)0x488b, (q15_t)0x4886, (q15_t)0x4881, (q15_t)0x487c, (q15_t)0x4876, (q15_t)0x4871, (q15_t)0x486c, + (q15_t)0x4867, (q15_t)0x4862, (q15_t)0x485c, (q15_t)0x4857, (q15_t)0x4852, (q15_t)0x484d, (q15_t)0x4848, (q15_t)0x4843, + (q15_t)0x483d, (q15_t)0x4838, (q15_t)0x4833, (q15_t)0x482e, (q15_t)0x4829, (q15_t)0x4823, (q15_t)0x481e, (q15_t)0x4819, + (q15_t)0x4814, (q15_t)0x480f, (q15_t)0x4809, (q15_t)0x4804, (q15_t)0x47ff, (q15_t)0x47fa, (q15_t)0x47f5, (q15_t)0x47ef, + (q15_t)0x47ea, (q15_t)0x47e5, (q15_t)0x47e0, (q15_t)0x47db, (q15_t)0x47d5, (q15_t)0x47d0, (q15_t)0x47cb, (q15_t)0x47c6, + (q15_t)0x47c1, (q15_t)0x47bb, (q15_t)0x47b6, (q15_t)0x47b1, (q15_t)0x47ac, (q15_t)0x47a7, (q15_t)0x47a1, (q15_t)0x479c, + (q15_t)0x4797, (q15_t)0x4792, (q15_t)0x478d, (q15_t)0x4787, (q15_t)0x4782, (q15_t)0x477d, (q15_t)0x4778, (q15_t)0x4773, + (q15_t)0x476d, (q15_t)0x4768, (q15_t)0x4763, (q15_t)0x475e, (q15_t)0x4758, (q15_t)0x4753, (q15_t)0x474e, (q15_t)0x4749, + (q15_t)0x4744, (q15_t)0x473e, (q15_t)0x4739, (q15_t)0x4734, (q15_t)0x472f, (q15_t)0x4729, (q15_t)0x4724, (q15_t)0x471f, + (q15_t)0x471a, (q15_t)0x4715, (q15_t)0x470f, (q15_t)0x470a, (q15_t)0x4705, (q15_t)0x4700, (q15_t)0x46fa, (q15_t)0x46f5, + (q15_t)0x46f0, (q15_t)0x46eb, (q15_t)0x46e6, (q15_t)0x46e0, (q15_t)0x46db, (q15_t)0x46d6, (q15_t)0x46d1, (q15_t)0x46cb, + (q15_t)0x46c6, (q15_t)0x46c1, (q15_t)0x46bc, (q15_t)0x46b6, (q15_t)0x46b1, (q15_t)0x46ac, (q15_t)0x46a7, (q15_t)0x46a1, + (q15_t)0x469c, (q15_t)0x4697, (q15_t)0x4692, (q15_t)0x468d, (q15_t)0x4687, (q15_t)0x4682, (q15_t)0x467d, (q15_t)0x4678, + (q15_t)0x4672, (q15_t)0x466d, (q15_t)0x4668, (q15_t)0x4663, (q15_t)0x465d, (q15_t)0x4658, (q15_t)0x4653, (q15_t)0x464e, + (q15_t)0x4648, (q15_t)0x4643, (q15_t)0x463e, (q15_t)0x4639, (q15_t)0x4633, (q15_t)0x462e, (q15_t)0x4629, (q15_t)0x4624, + (q15_t)0x461e, (q15_t)0x4619, (q15_t)0x4614, (q15_t)0x460e, (q15_t)0x4609, (q15_t)0x4604, (q15_t)0x45ff, (q15_t)0x45f9, + (q15_t)0x45f4, (q15_t)0x45ef, (q15_t)0x45ea, (q15_t)0x45e4, (q15_t)0x45df, (q15_t)0x45da, (q15_t)0x45d5, (q15_t)0x45cf, + (q15_t)0x45ca, (q15_t)0x45c5, (q15_t)0x45c0, (q15_t)0x45ba, (q15_t)0x45b5, (q15_t)0x45b0, (q15_t)0x45aa, (q15_t)0x45a5, + (q15_t)0x45a0, (q15_t)0x459b, (q15_t)0x4595, (q15_t)0x4590, (q15_t)0x458b, (q15_t)0x4586, (q15_t)0x4580, (q15_t)0x457b, + (q15_t)0x4576, (q15_t)0x4570, (q15_t)0x456b, (q15_t)0x4566, (q15_t)0x4561, (q15_t)0x455b, (q15_t)0x4556, (q15_t)0x4551, + (q15_t)0x454b, (q15_t)0x4546, (q15_t)0x4541, (q15_t)0x453c, (q15_t)0x4536, (q15_t)0x4531, (q15_t)0x452c, (q15_t)0x4526, + (q15_t)0x4521, (q15_t)0x451c, (q15_t)0x4517, (q15_t)0x4511, (q15_t)0x450c, (q15_t)0x4507, (q15_t)0x4501, (q15_t)0x44fc, + (q15_t)0x44f7, (q15_t)0x44f2, (q15_t)0x44ec, (q15_t)0x44e7, (q15_t)0x44e2, (q15_t)0x44dc, (q15_t)0x44d7, (q15_t)0x44d2, + (q15_t)0x44cd, (q15_t)0x44c7, (q15_t)0x44c2, (q15_t)0x44bd, (q15_t)0x44b7, (q15_t)0x44b2, (q15_t)0x44ad, (q15_t)0x44a7, + (q15_t)0x44a2, (q15_t)0x449d, (q15_t)0x4497, (q15_t)0x4492, (q15_t)0x448d, (q15_t)0x4488, (q15_t)0x4482, (q15_t)0x447d, + (q15_t)0x4478, (q15_t)0x4472, (q15_t)0x446d, (q15_t)0x4468, (q15_t)0x4462, (q15_t)0x445d, (q15_t)0x4458, (q15_t)0x4452, + (q15_t)0x444d, (q15_t)0x4448, (q15_t)0x4443, (q15_t)0x443d, (q15_t)0x4438, (q15_t)0x4433, (q15_t)0x442d, (q15_t)0x4428, + (q15_t)0x4423, (q15_t)0x441d, (q15_t)0x4418, (q15_t)0x4413, (q15_t)0x440d, (q15_t)0x4408, (q15_t)0x4403, (q15_t)0x43fd, + (q15_t)0x43f8, (q15_t)0x43f3, (q15_t)0x43ed, (q15_t)0x43e8, (q15_t)0x43e3, (q15_t)0x43dd, (q15_t)0x43d8, (q15_t)0x43d3, + (q15_t)0x43cd, (q15_t)0x43c8, (q15_t)0x43c3, (q15_t)0x43bd, (q15_t)0x43b8, (q15_t)0x43b3, (q15_t)0x43ad, (q15_t)0x43a8, + (q15_t)0x43a3, (q15_t)0x439d, (q15_t)0x4398, (q15_t)0x4393, (q15_t)0x438d, (q15_t)0x4388, (q15_t)0x4383, (q15_t)0x437d, + (q15_t)0x4378, (q15_t)0x4373, (q15_t)0x436d, (q15_t)0x4368, (q15_t)0x4363, (q15_t)0x435d, (q15_t)0x4358, (q15_t)0x4353, + (q15_t)0x434d, (q15_t)0x4348, (q15_t)0x4343, (q15_t)0x433d, (q15_t)0x4338, (q15_t)0x4333, (q15_t)0x432d, (q15_t)0x4328, + (q15_t)0x4323, (q15_t)0x431d, (q15_t)0x4318, (q15_t)0x4313, (q15_t)0x430d, (q15_t)0x4308, (q15_t)0x4302, (q15_t)0x42fd, + (q15_t)0x42f8, (q15_t)0x42f2, (q15_t)0x42ed, (q15_t)0x42e8, (q15_t)0x42e2, (q15_t)0x42dd, (q15_t)0x42d8, (q15_t)0x42d2, + (q15_t)0x42cd, (q15_t)0x42c8, (q15_t)0x42c2, (q15_t)0x42bd, (q15_t)0x42b7, (q15_t)0x42b2, (q15_t)0x42ad, (q15_t)0x42a7, + (q15_t)0x42a2, (q15_t)0x429d, (q15_t)0x4297, (q15_t)0x4292, (q15_t)0x428d, (q15_t)0x4287, (q15_t)0x4282, (q15_t)0x427c, + (q15_t)0x4277, (q15_t)0x4272, (q15_t)0x426c, (q15_t)0x4267, (q15_t)0x4262, (q15_t)0x425c, (q15_t)0x4257, (q15_t)0x4251, + (q15_t)0x424c, (q15_t)0x4247, (q15_t)0x4241, (q15_t)0x423c, (q15_t)0x4237, (q15_t)0x4231, (q15_t)0x422c, (q15_t)0x4226, + (q15_t)0x4221, (q15_t)0x421c, (q15_t)0x4216, (q15_t)0x4211, (q15_t)0x420c, (q15_t)0x4206, (q15_t)0x4201, (q15_t)0x41fb, + (q15_t)0x41f6, (q15_t)0x41f1, (q15_t)0x41eb, (q15_t)0x41e6, (q15_t)0x41e0, (q15_t)0x41db, (q15_t)0x41d6, (q15_t)0x41d0, + (q15_t)0x41cb, (q15_t)0x41c6, (q15_t)0x41c0, (q15_t)0x41bb, (q15_t)0x41b5, (q15_t)0x41b0, (q15_t)0x41ab, (q15_t)0x41a5, + (q15_t)0x41a0, (q15_t)0x419a, (q15_t)0x4195, (q15_t)0x4190, (q15_t)0x418a, (q15_t)0x4185, (q15_t)0x417f, (q15_t)0x417a, + (q15_t)0x4175, (q15_t)0x416f, (q15_t)0x416a, (q15_t)0x4164, (q15_t)0x415f, (q15_t)0x415a, (q15_t)0x4154, (q15_t)0x414f, + (q15_t)0x4149, (q15_t)0x4144, (q15_t)0x413f, (q15_t)0x4139, (q15_t)0x4134, (q15_t)0x412e, (q15_t)0x4129, (q15_t)0x4124, + (q15_t)0x411e, (q15_t)0x4119, (q15_t)0x4113, (q15_t)0x410e, (q15_t)0x4108, (q15_t)0x4103, (q15_t)0x40fe, (q15_t)0x40f8, + (q15_t)0x40f3, (q15_t)0x40ed, (q15_t)0x40e8, (q15_t)0x40e3, (q15_t)0x40dd, (q15_t)0x40d8, (q15_t)0x40d2, (q15_t)0x40cd, + (q15_t)0x40c8, (q15_t)0x40c2, (q15_t)0x40bd, (q15_t)0x40b7, (q15_t)0x40b2, (q15_t)0x40ac, (q15_t)0x40a7, (q15_t)0x40a2, + (q15_t)0x409c, (q15_t)0x4097, (q15_t)0x4091, (q15_t)0x408c, (q15_t)0x4086, (q15_t)0x4081, (q15_t)0x407c, (q15_t)0x4076, + (q15_t)0x4071, (q15_t)0x406b, (q15_t)0x4066, (q15_t)0x4060, (q15_t)0x405b, (q15_t)0x4056, (q15_t)0x4050, (q15_t)0x404b, + (q15_t)0x4045, (q15_t)0x4040, (q15_t)0x403a, (q15_t)0x4035, (q15_t)0x4030, (q15_t)0x402a, (q15_t)0x4025, (q15_t)0x401f, + (q15_t)0x401a, (q15_t)0x4014, (q15_t)0x400f, (q15_t)0x4009, (q15_t)0x4004, (q15_t)0x3fff, (q15_t)0x3ff9, (q15_t)0x3ff4, + (q15_t)0x3fee, (q15_t)0x3fe9, (q15_t)0x3fe3, (q15_t)0x3fde, (q15_t)0x3fd8, (q15_t)0x3fd3, (q15_t)0x3fce, (q15_t)0x3fc8, + (q15_t)0x3fc3, (q15_t)0x3fbd, (q15_t)0x3fb8, (q15_t)0x3fb2, (q15_t)0x3fad, (q15_t)0x3fa7, (q15_t)0x3fa2, (q15_t)0x3f9d, + (q15_t)0x3f97, (q15_t)0x3f92, (q15_t)0x3f8c, (q15_t)0x3f87, (q15_t)0x3f81, (q15_t)0x3f7c, (q15_t)0x3f76, (q15_t)0x3f71, + (q15_t)0x3f6b, (q15_t)0x3f66, (q15_t)0x3f61, (q15_t)0x3f5b, (q15_t)0x3f56, (q15_t)0x3f50, (q15_t)0x3f4b, (q15_t)0x3f45, + (q15_t)0x3f40, (q15_t)0x3f3a, (q15_t)0x3f35, (q15_t)0x3f2f, (q15_t)0x3f2a, (q15_t)0x3f24, (q15_t)0x3f1f, (q15_t)0x3f1a, + (q15_t)0x3f14, (q15_t)0x3f0f, (q15_t)0x3f09, (q15_t)0x3f04, (q15_t)0x3efe, (q15_t)0x3ef9, (q15_t)0x3ef3, (q15_t)0x3eee, + (q15_t)0x3ee8, (q15_t)0x3ee3, (q15_t)0x3edd, (q15_t)0x3ed8, (q15_t)0x3ed2, (q15_t)0x3ecd, (q15_t)0x3ec7, (q15_t)0x3ec2, + (q15_t)0x3ebd, (q15_t)0x3eb7, (q15_t)0x3eb2, (q15_t)0x3eac, (q15_t)0x3ea7, (q15_t)0x3ea1, (q15_t)0x3e9c, (q15_t)0x3e96, + (q15_t)0x3e91, (q15_t)0x3e8b, (q15_t)0x3e86, (q15_t)0x3e80, (q15_t)0x3e7b, (q15_t)0x3e75, (q15_t)0x3e70, (q15_t)0x3e6a, + (q15_t)0x3e65, (q15_t)0x3e5f, (q15_t)0x3e5a, (q15_t)0x3e54, (q15_t)0x3e4f, (q15_t)0x3e49, (q15_t)0x3e44, (q15_t)0x3e3e, + (q15_t)0x3e39, (q15_t)0x3e33, (q15_t)0x3e2e, (q15_t)0x3e28, (q15_t)0x3e23, (q15_t)0x3e1d, (q15_t)0x3e18, (q15_t)0x3e12, + (q15_t)0x3e0d, (q15_t)0x3e07, (q15_t)0x3e02, (q15_t)0x3dfc, (q15_t)0x3df7, (q15_t)0x3df1, (q15_t)0x3dec, (q15_t)0x3de6, + (q15_t)0x3de1, (q15_t)0x3ddb, (q15_t)0x3dd6, (q15_t)0x3dd0, (q15_t)0x3dcb, (q15_t)0x3dc5, (q15_t)0x3dc0, (q15_t)0x3dba, + (q15_t)0x3db5, (q15_t)0x3daf, (q15_t)0x3daa, (q15_t)0x3da4, (q15_t)0x3d9f, (q15_t)0x3d99, (q15_t)0x3d94, (q15_t)0x3d8e, + (q15_t)0x3d89, (q15_t)0x3d83, (q15_t)0x3d7e, (q15_t)0x3d78, (q15_t)0x3d73, (q15_t)0x3d6d, (q15_t)0x3d68, (q15_t)0x3d62, + (q15_t)0x3d5d, (q15_t)0x3d57, (q15_t)0x3d52, (q15_t)0x3d4c, (q15_t)0x3d47, (q15_t)0x3d41, (q15_t)0x3d3c, (q15_t)0x3d36, + (q15_t)0x3d31, (q15_t)0x3d2b, (q15_t)0x3d26, (q15_t)0x3d20, (q15_t)0x3d1b, (q15_t)0x3d15, (q15_t)0x3d10, (q15_t)0x3d0a, + (q15_t)0x3d04, (q15_t)0x3cff, (q15_t)0x3cf9, (q15_t)0x3cf4, (q15_t)0x3cee, (q15_t)0x3ce9, (q15_t)0x3ce3, (q15_t)0x3cde, + (q15_t)0x3cd8, (q15_t)0x3cd3, (q15_t)0x3ccd, (q15_t)0x3cc8, (q15_t)0x3cc2, (q15_t)0x3cbd, (q15_t)0x3cb7, (q15_t)0x3cb2, + (q15_t)0x3cac, (q15_t)0x3ca7, (q15_t)0x3ca1, (q15_t)0x3c9b, (q15_t)0x3c96, (q15_t)0x3c90, (q15_t)0x3c8b, (q15_t)0x3c85, + (q15_t)0x3c80, (q15_t)0x3c7a, (q15_t)0x3c75, (q15_t)0x3c6f, (q15_t)0x3c6a, (q15_t)0x3c64, (q15_t)0x3c5f, (q15_t)0x3c59, + (q15_t)0x3c53, (q15_t)0x3c4e, (q15_t)0x3c48, (q15_t)0x3c43, (q15_t)0x3c3d, (q15_t)0x3c38, (q15_t)0x3c32, (q15_t)0x3c2d, + (q15_t)0x3c27, (q15_t)0x3c22, (q15_t)0x3c1c, (q15_t)0x3c16, (q15_t)0x3c11, (q15_t)0x3c0b, (q15_t)0x3c06, (q15_t)0x3c00, + (q15_t)0x3bfb, (q15_t)0x3bf5, (q15_t)0x3bf0, (q15_t)0x3bea, (q15_t)0x3be5, (q15_t)0x3bdf, (q15_t)0x3bd9, (q15_t)0x3bd4, + (q15_t)0x3bce, (q15_t)0x3bc9, (q15_t)0x3bc3, (q15_t)0x3bbe, (q15_t)0x3bb8, (q15_t)0x3bb3, (q15_t)0x3bad, (q15_t)0x3ba7, + (q15_t)0x3ba2, (q15_t)0x3b9c, (q15_t)0x3b97, (q15_t)0x3b91, (q15_t)0x3b8c, (q15_t)0x3b86, (q15_t)0x3b80, (q15_t)0x3b7b, + (q15_t)0x3b75, (q15_t)0x3b70, (q15_t)0x3b6a, (q15_t)0x3b65, (q15_t)0x3b5f, (q15_t)0x3b5a, (q15_t)0x3b54, (q15_t)0x3b4e, + (q15_t)0x3b49, (q15_t)0x3b43, (q15_t)0x3b3e, (q15_t)0x3b38, (q15_t)0x3b33, (q15_t)0x3b2d, (q15_t)0x3b27, (q15_t)0x3b22, + (q15_t)0x3b1c, (q15_t)0x3b17, (q15_t)0x3b11, (q15_t)0x3b0c, (q15_t)0x3b06, (q15_t)0x3b00, (q15_t)0x3afb, (q15_t)0x3af5, + (q15_t)0x3af0, (q15_t)0x3aea, (q15_t)0x3ae4, (q15_t)0x3adf, (q15_t)0x3ad9, (q15_t)0x3ad4, (q15_t)0x3ace, (q15_t)0x3ac9, + (q15_t)0x3ac3, (q15_t)0x3abd, (q15_t)0x3ab8, (q15_t)0x3ab2, (q15_t)0x3aad, (q15_t)0x3aa7, (q15_t)0x3aa2, (q15_t)0x3a9c, + (q15_t)0x3a96, (q15_t)0x3a91, (q15_t)0x3a8b, (q15_t)0x3a86, (q15_t)0x3a80, (q15_t)0x3a7a, (q15_t)0x3a75, (q15_t)0x3a6f, + (q15_t)0x3a6a, (q15_t)0x3a64, (q15_t)0x3a5e, (q15_t)0x3a59, (q15_t)0x3a53, (q15_t)0x3a4e, (q15_t)0x3a48, (q15_t)0x3a42, + (q15_t)0x3a3d, (q15_t)0x3a37, (q15_t)0x3a32, (q15_t)0x3a2c, (q15_t)0x3a26, (q15_t)0x3a21, (q15_t)0x3a1b, (q15_t)0x3a16, + (q15_t)0x3a10, (q15_t)0x3a0b, (q15_t)0x3a05, (q15_t)0x39ff, (q15_t)0x39fa, (q15_t)0x39f4, (q15_t)0x39ee, (q15_t)0x39e9, + (q15_t)0x39e3, (q15_t)0x39de, (q15_t)0x39d8, (q15_t)0x39d2, (q15_t)0x39cd, (q15_t)0x39c7, (q15_t)0x39c2, (q15_t)0x39bc, + (q15_t)0x39b6, (q15_t)0x39b1, (q15_t)0x39ab, (q15_t)0x39a6, (q15_t)0x39a0, (q15_t)0x399a, (q15_t)0x3995, (q15_t)0x398f, + (q15_t)0x398a, (q15_t)0x3984, (q15_t)0x397e, (q15_t)0x3979, (q15_t)0x3973, (q15_t)0x396d, (q15_t)0x3968, (q15_t)0x3962, + (q15_t)0x395d, (q15_t)0x3957, (q15_t)0x3951, (q15_t)0x394c, (q15_t)0x3946, (q15_t)0x3941, (q15_t)0x393b, (q15_t)0x3935, + (q15_t)0x3930, (q15_t)0x392a, (q15_t)0x3924, (q15_t)0x391f, (q15_t)0x3919, (q15_t)0x3914, (q15_t)0x390e, (q15_t)0x3908, + (q15_t)0x3903, (q15_t)0x38fd, (q15_t)0x38f7, (q15_t)0x38f2, (q15_t)0x38ec, (q15_t)0x38e7, (q15_t)0x38e1, (q15_t)0x38db, + (q15_t)0x38d6, (q15_t)0x38d0, (q15_t)0x38ca, (q15_t)0x38c5, (q15_t)0x38bf, (q15_t)0x38ba, (q15_t)0x38b4, (q15_t)0x38ae, + (q15_t)0x38a9, (q15_t)0x38a3, (q15_t)0x389d, (q15_t)0x3898, (q15_t)0x3892, (q15_t)0x388c, (q15_t)0x3887, (q15_t)0x3881, + (q15_t)0x387c, (q15_t)0x3876, (q15_t)0x3870, (q15_t)0x386b, (q15_t)0x3865, (q15_t)0x385f, (q15_t)0x385a, (q15_t)0x3854, + (q15_t)0x384e, (q15_t)0x3849, (q15_t)0x3843, (q15_t)0x383d, (q15_t)0x3838, (q15_t)0x3832, (q15_t)0x382d, (q15_t)0x3827, + (q15_t)0x3821, (q15_t)0x381c, (q15_t)0x3816, (q15_t)0x3810, (q15_t)0x380b, (q15_t)0x3805, (q15_t)0x37ff, (q15_t)0x37fa, + (q15_t)0x37f4, (q15_t)0x37ee, (q15_t)0x37e9, (q15_t)0x37e3, (q15_t)0x37dd, (q15_t)0x37d8, (q15_t)0x37d2, (q15_t)0x37cc, + (q15_t)0x37c7, (q15_t)0x37c1, (q15_t)0x37bc, (q15_t)0x37b6, (q15_t)0x37b0, (q15_t)0x37ab, (q15_t)0x37a5, (q15_t)0x379f, + (q15_t)0x379a, (q15_t)0x3794, (q15_t)0x378e, (q15_t)0x3789, (q15_t)0x3783, (q15_t)0x377d, (q15_t)0x3778, (q15_t)0x3772, + (q15_t)0x376c, (q15_t)0x3767, (q15_t)0x3761, (q15_t)0x375b, (q15_t)0x3756, (q15_t)0x3750, (q15_t)0x374a, (q15_t)0x3745, + (q15_t)0x373f, (q15_t)0x3739, (q15_t)0x3734, (q15_t)0x372e, (q15_t)0x3728, (q15_t)0x3723, (q15_t)0x371d, (q15_t)0x3717, + (q15_t)0x3712, (q15_t)0x370c, (q15_t)0x3706, (q15_t)0x3701, (q15_t)0x36fb, (q15_t)0x36f5, (q15_t)0x36f0, (q15_t)0x36ea, + (q15_t)0x36e4, (q15_t)0x36df, (q15_t)0x36d9, (q15_t)0x36d3, (q15_t)0x36ce, (q15_t)0x36c8, (q15_t)0x36c2, (q15_t)0x36bc, + (q15_t)0x36b7, (q15_t)0x36b1, (q15_t)0x36ab, (q15_t)0x36a6, (q15_t)0x36a0, (q15_t)0x369a, (q15_t)0x3695, (q15_t)0x368f, + (q15_t)0x3689, (q15_t)0x3684, (q15_t)0x367e, (q15_t)0x3678, (q15_t)0x3673, (q15_t)0x366d, (q15_t)0x3667, (q15_t)0x3662, + (q15_t)0x365c, (q15_t)0x3656, (q15_t)0x3650, (q15_t)0x364b, (q15_t)0x3645, (q15_t)0x363f, (q15_t)0x363a, (q15_t)0x3634, + (q15_t)0x362e, (q15_t)0x3629, (q15_t)0x3623, (q15_t)0x361d, (q15_t)0x3618, (q15_t)0x3612, (q15_t)0x360c, (q15_t)0x3606, + (q15_t)0x3601, (q15_t)0x35fb, (q15_t)0x35f5, (q15_t)0x35f0, (q15_t)0x35ea, (q15_t)0x35e4, (q15_t)0x35df, (q15_t)0x35d9, + (q15_t)0x35d3, (q15_t)0x35cd, (q15_t)0x35c8, (q15_t)0x35c2, (q15_t)0x35bc, (q15_t)0x35b7, (q15_t)0x35b1, (q15_t)0x35ab, + (q15_t)0x35a6, (q15_t)0x35a0, (q15_t)0x359a, (q15_t)0x3594, (q15_t)0x358f, (q15_t)0x3589, (q15_t)0x3583, (q15_t)0x357e, + (q15_t)0x3578, (q15_t)0x3572, (q15_t)0x356c, (q15_t)0x3567, (q15_t)0x3561, (q15_t)0x355b, (q15_t)0x3556, (q15_t)0x3550, + (q15_t)0x354a, (q15_t)0x3544, (q15_t)0x353f, (q15_t)0x3539, (q15_t)0x3533, (q15_t)0x352e, (q15_t)0x3528, (q15_t)0x3522, + (q15_t)0x351c, (q15_t)0x3517, (q15_t)0x3511, (q15_t)0x350b, (q15_t)0x3506, (q15_t)0x3500, (q15_t)0x34fa, (q15_t)0x34f4, + (q15_t)0x34ef, (q15_t)0x34e9, (q15_t)0x34e3, (q15_t)0x34de, (q15_t)0x34d8, (q15_t)0x34d2, (q15_t)0x34cc, (q15_t)0x34c7, + (q15_t)0x34c1, (q15_t)0x34bb, (q15_t)0x34b6, (q15_t)0x34b0, (q15_t)0x34aa, (q15_t)0x34a4, (q15_t)0x349f, (q15_t)0x3499, + (q15_t)0x3493, (q15_t)0x348d, (q15_t)0x3488, (q15_t)0x3482, (q15_t)0x347c, (q15_t)0x3476, (q15_t)0x3471, (q15_t)0x346b, + (q15_t)0x3465, (q15_t)0x3460, (q15_t)0x345a, (q15_t)0x3454, (q15_t)0x344e, (q15_t)0x3449, (q15_t)0x3443, (q15_t)0x343d, + (q15_t)0x3437, (q15_t)0x3432, (q15_t)0x342c, (q15_t)0x3426, (q15_t)0x3420, (q15_t)0x341b, (q15_t)0x3415, (q15_t)0x340f, + (q15_t)0x340a, (q15_t)0x3404, (q15_t)0x33fe, (q15_t)0x33f8, (q15_t)0x33f3, (q15_t)0x33ed, (q15_t)0x33e7, (q15_t)0x33e1, + (q15_t)0x33dc, (q15_t)0x33d6, (q15_t)0x33d0, (q15_t)0x33ca, (q15_t)0x33c5, (q15_t)0x33bf, (q15_t)0x33b9, (q15_t)0x33b3, + (q15_t)0x33ae, (q15_t)0x33a8, (q15_t)0x33a2, (q15_t)0x339c, (q15_t)0x3397, (q15_t)0x3391, (q15_t)0x338b, (q15_t)0x3385, + (q15_t)0x3380, (q15_t)0x337a, (q15_t)0x3374, (q15_t)0x336e, (q15_t)0x3369, (q15_t)0x3363, (q15_t)0x335d, (q15_t)0x3357, + (q15_t)0x3352, (q15_t)0x334c, (q15_t)0x3346, (q15_t)0x3340, (q15_t)0x333b, (q15_t)0x3335, (q15_t)0x332f, (q15_t)0x3329, + (q15_t)0x3324, (q15_t)0x331e, (q15_t)0x3318, (q15_t)0x3312, (q15_t)0x330c, (q15_t)0x3307, (q15_t)0x3301, (q15_t)0x32fb, + (q15_t)0x32f5, (q15_t)0x32f0, (q15_t)0x32ea, (q15_t)0x32e4, (q15_t)0x32de, (q15_t)0x32d9, (q15_t)0x32d3, (q15_t)0x32cd, + (q15_t)0x32c7, (q15_t)0x32c2, (q15_t)0x32bc, (q15_t)0x32b6, (q15_t)0x32b0, (q15_t)0x32aa, (q15_t)0x32a5, (q15_t)0x329f, + (q15_t)0x3299, (q15_t)0x3293, (q15_t)0x328e, (q15_t)0x3288, (q15_t)0x3282, (q15_t)0x327c, (q15_t)0x3276, (q15_t)0x3271, + (q15_t)0x326b, (q15_t)0x3265, (q15_t)0x325f, (q15_t)0x325a, (q15_t)0x3254, (q15_t)0x324e, (q15_t)0x3248, (q15_t)0x3243, + (q15_t)0x323d, (q15_t)0x3237, (q15_t)0x3231, (q15_t)0x322b, (q15_t)0x3226, (q15_t)0x3220, (q15_t)0x321a, (q15_t)0x3214, + (q15_t)0x320e, (q15_t)0x3209, (q15_t)0x3203, (q15_t)0x31fd, (q15_t)0x31f7, (q15_t)0x31f2, (q15_t)0x31ec, (q15_t)0x31e6, + (q15_t)0x31e0, (q15_t)0x31da, (q15_t)0x31d5, (q15_t)0x31cf, (q15_t)0x31c9, (q15_t)0x31c3, (q15_t)0x31bd, (q15_t)0x31b8, + (q15_t)0x31b2, (q15_t)0x31ac, (q15_t)0x31a6, (q15_t)0x31a1, (q15_t)0x319b, (q15_t)0x3195, (q15_t)0x318f, (q15_t)0x3189, + (q15_t)0x3184, (q15_t)0x317e, (q15_t)0x3178, (q15_t)0x3172, (q15_t)0x316c, (q15_t)0x3167, (q15_t)0x3161, (q15_t)0x315b, + (q15_t)0x3155, (q15_t)0x314f, (q15_t)0x314a, (q15_t)0x3144, (q15_t)0x313e, (q15_t)0x3138, (q15_t)0x3132, (q15_t)0x312d, + (q15_t)0x3127, (q15_t)0x3121, (q15_t)0x311b, (q15_t)0x3115, (q15_t)0x3110, (q15_t)0x310a, (q15_t)0x3104, (q15_t)0x30fe, + (q15_t)0x30f8, (q15_t)0x30f3, (q15_t)0x30ed, (q15_t)0x30e7, (q15_t)0x30e1, (q15_t)0x30db, (q15_t)0x30d6, (q15_t)0x30d0, + (q15_t)0x30ca, (q15_t)0x30c4, (q15_t)0x30be, (q15_t)0x30b8, (q15_t)0x30b3, (q15_t)0x30ad, (q15_t)0x30a7, (q15_t)0x30a1, + (q15_t)0x309b, (q15_t)0x3096, (q15_t)0x3090, (q15_t)0x308a, (q15_t)0x3084, (q15_t)0x307e, (q15_t)0x3079, (q15_t)0x3073, + (q15_t)0x306d, (q15_t)0x3067, (q15_t)0x3061, (q15_t)0x305b, (q15_t)0x3056, (q15_t)0x3050, (q15_t)0x304a, (q15_t)0x3044, + (q15_t)0x303e, (q15_t)0x3039, (q15_t)0x3033, (q15_t)0x302d, (q15_t)0x3027, (q15_t)0x3021, (q15_t)0x301b, (q15_t)0x3016, + (q15_t)0x3010, (q15_t)0x300a, (q15_t)0x3004, (q15_t)0x2ffe, (q15_t)0x2ff8, (q15_t)0x2ff3, (q15_t)0x2fed, (q15_t)0x2fe7, + (q15_t)0x2fe1, (q15_t)0x2fdb, (q15_t)0x2fd6, (q15_t)0x2fd0, (q15_t)0x2fca, (q15_t)0x2fc4, (q15_t)0x2fbe, (q15_t)0x2fb8, + (q15_t)0x2fb3, (q15_t)0x2fad, (q15_t)0x2fa7, (q15_t)0x2fa1, (q15_t)0x2f9b, (q15_t)0x2f95, (q15_t)0x2f90, (q15_t)0x2f8a, + (q15_t)0x2f84, (q15_t)0x2f7e, (q15_t)0x2f78, (q15_t)0x2f72, (q15_t)0x2f6d, (q15_t)0x2f67, (q15_t)0x2f61, (q15_t)0x2f5b, + (q15_t)0x2f55, (q15_t)0x2f4f, (q15_t)0x2f4a, (q15_t)0x2f44, (q15_t)0x2f3e, (q15_t)0x2f38, (q15_t)0x2f32, (q15_t)0x2f2c, + (q15_t)0x2f27, (q15_t)0x2f21, (q15_t)0x2f1b, (q15_t)0x2f15, (q15_t)0x2f0f, (q15_t)0x2f09, (q15_t)0x2f03, (q15_t)0x2efe, + (q15_t)0x2ef8, (q15_t)0x2ef2, (q15_t)0x2eec, (q15_t)0x2ee6, (q15_t)0x2ee0, (q15_t)0x2edb, (q15_t)0x2ed5, (q15_t)0x2ecf, + (q15_t)0x2ec9, (q15_t)0x2ec3, (q15_t)0x2ebd, (q15_t)0x2eb7, (q15_t)0x2eb2, (q15_t)0x2eac, (q15_t)0x2ea6, (q15_t)0x2ea0, + (q15_t)0x2e9a, (q15_t)0x2e94, (q15_t)0x2e8e, (q15_t)0x2e89, (q15_t)0x2e83, (q15_t)0x2e7d, (q15_t)0x2e77, (q15_t)0x2e71, + (q15_t)0x2e6b, (q15_t)0x2e65, (q15_t)0x2e60, (q15_t)0x2e5a, (q15_t)0x2e54, (q15_t)0x2e4e, (q15_t)0x2e48, (q15_t)0x2e42, + (q15_t)0x2e3c, (q15_t)0x2e37, (q15_t)0x2e31, (q15_t)0x2e2b, (q15_t)0x2e25, (q15_t)0x2e1f, (q15_t)0x2e19, (q15_t)0x2e13, + (q15_t)0x2e0e, (q15_t)0x2e08, (q15_t)0x2e02, (q15_t)0x2dfc, (q15_t)0x2df6, (q15_t)0x2df0, (q15_t)0x2dea, (q15_t)0x2de5, + (q15_t)0x2ddf, (q15_t)0x2dd9, (q15_t)0x2dd3, (q15_t)0x2dcd, (q15_t)0x2dc7, (q15_t)0x2dc1, (q15_t)0x2dbb, (q15_t)0x2db6, + (q15_t)0x2db0, (q15_t)0x2daa, (q15_t)0x2da4, (q15_t)0x2d9e, (q15_t)0x2d98, (q15_t)0x2d92, (q15_t)0x2d8d, (q15_t)0x2d87, + (q15_t)0x2d81, (q15_t)0x2d7b, (q15_t)0x2d75, (q15_t)0x2d6f, (q15_t)0x2d69, (q15_t)0x2d63, (q15_t)0x2d5e, (q15_t)0x2d58, + (q15_t)0x2d52, (q15_t)0x2d4c, (q15_t)0x2d46, (q15_t)0x2d40, (q15_t)0x2d3a, (q15_t)0x2d34, (q15_t)0x2d2f, (q15_t)0x2d29, + (q15_t)0x2d23, (q15_t)0x2d1d, (q15_t)0x2d17, (q15_t)0x2d11, (q15_t)0x2d0b, (q15_t)0x2d05, (q15_t)0x2cff, (q15_t)0x2cfa, + (q15_t)0x2cf4, (q15_t)0x2cee, (q15_t)0x2ce8, (q15_t)0x2ce2, (q15_t)0x2cdc, (q15_t)0x2cd6, (q15_t)0x2cd0, (q15_t)0x2ccb, + (q15_t)0x2cc5, (q15_t)0x2cbf, (q15_t)0x2cb9, (q15_t)0x2cb3, (q15_t)0x2cad, (q15_t)0x2ca7, (q15_t)0x2ca1, (q15_t)0x2c9b, + (q15_t)0x2c96, (q15_t)0x2c90, (q15_t)0x2c8a, (q15_t)0x2c84, (q15_t)0x2c7e, (q15_t)0x2c78, (q15_t)0x2c72, (q15_t)0x2c6c, + (q15_t)0x2c66, (q15_t)0x2c61, (q15_t)0x2c5b, (q15_t)0x2c55, (q15_t)0x2c4f, (q15_t)0x2c49, (q15_t)0x2c43, (q15_t)0x2c3d, + (q15_t)0x2c37, (q15_t)0x2c31, (q15_t)0x2c2b, (q15_t)0x2c26, (q15_t)0x2c20, (q15_t)0x2c1a, (q15_t)0x2c14, (q15_t)0x2c0e, + (q15_t)0x2c08, (q15_t)0x2c02, (q15_t)0x2bfc, (q15_t)0x2bf6, (q15_t)0x2bf0, (q15_t)0x2beb, (q15_t)0x2be5, (q15_t)0x2bdf, + (q15_t)0x2bd9, (q15_t)0x2bd3, (q15_t)0x2bcd, (q15_t)0x2bc7, (q15_t)0x2bc1, (q15_t)0x2bbb, (q15_t)0x2bb5, (q15_t)0x2bb0, + (q15_t)0x2baa, (q15_t)0x2ba4, (q15_t)0x2b9e, (q15_t)0x2b98, (q15_t)0x2b92, (q15_t)0x2b8c, (q15_t)0x2b86, (q15_t)0x2b80, + (q15_t)0x2b7a, (q15_t)0x2b74, (q15_t)0x2b6f, (q15_t)0x2b69, (q15_t)0x2b63, (q15_t)0x2b5d, (q15_t)0x2b57, (q15_t)0x2b51, + (q15_t)0x2b4b, (q15_t)0x2b45, (q15_t)0x2b3f, (q15_t)0x2b39, (q15_t)0x2b33, (q15_t)0x2b2d, (q15_t)0x2b28, (q15_t)0x2b22, + (q15_t)0x2b1c, (q15_t)0x2b16, (q15_t)0x2b10, (q15_t)0x2b0a, (q15_t)0x2b04, (q15_t)0x2afe, (q15_t)0x2af8, (q15_t)0x2af2, + (q15_t)0x2aec, (q15_t)0x2ae6, (q15_t)0x2ae1, (q15_t)0x2adb, (q15_t)0x2ad5, (q15_t)0x2acf, (q15_t)0x2ac9, (q15_t)0x2ac3, + (q15_t)0x2abd, (q15_t)0x2ab7, (q15_t)0x2ab1, (q15_t)0x2aab, (q15_t)0x2aa5, (q15_t)0x2a9f, (q15_t)0x2a99, (q15_t)0x2a94, + (q15_t)0x2a8e, (q15_t)0x2a88, (q15_t)0x2a82, (q15_t)0x2a7c, (q15_t)0x2a76, (q15_t)0x2a70, (q15_t)0x2a6a, (q15_t)0x2a64, + (q15_t)0x2a5e, (q15_t)0x2a58, (q15_t)0x2a52, (q15_t)0x2a4c, (q15_t)0x2a47, (q15_t)0x2a41, (q15_t)0x2a3b, (q15_t)0x2a35, + (q15_t)0x2a2f, (q15_t)0x2a29, (q15_t)0x2a23, (q15_t)0x2a1d, (q15_t)0x2a17, (q15_t)0x2a11, (q15_t)0x2a0b, (q15_t)0x2a05, + (q15_t)0x29ff, (q15_t)0x29f9, (q15_t)0x29f3, (q15_t)0x29ee, (q15_t)0x29e8, (q15_t)0x29e2, (q15_t)0x29dc, (q15_t)0x29d6, + (q15_t)0x29d0, (q15_t)0x29ca, (q15_t)0x29c4, (q15_t)0x29be, (q15_t)0x29b8, (q15_t)0x29b2, (q15_t)0x29ac, (q15_t)0x29a6, + (q15_t)0x29a0, (q15_t)0x299a, (q15_t)0x2994, (q15_t)0x298e, (q15_t)0x2989, (q15_t)0x2983, (q15_t)0x297d, (q15_t)0x2977, + (q15_t)0x2971, (q15_t)0x296b, (q15_t)0x2965, (q15_t)0x295f, (q15_t)0x2959, (q15_t)0x2953, (q15_t)0x294d, (q15_t)0x2947, + (q15_t)0x2941, (q15_t)0x293b, (q15_t)0x2935, (q15_t)0x292f, (q15_t)0x2929, (q15_t)0x2923, (q15_t)0x291d, (q15_t)0x2918, + (q15_t)0x2912, (q15_t)0x290c, (q15_t)0x2906, (q15_t)0x2900, (q15_t)0x28fa, (q15_t)0x28f4, (q15_t)0x28ee, (q15_t)0x28e8, + (q15_t)0x28e2, (q15_t)0x28dc, (q15_t)0x28d6, (q15_t)0x28d0, (q15_t)0x28ca, (q15_t)0x28c4, (q15_t)0x28be, (q15_t)0x28b8, + (q15_t)0x28b2, (q15_t)0x28ac, (q15_t)0x28a6, (q15_t)0x28a0, (q15_t)0x289a, (q15_t)0x2895, (q15_t)0x288f, (q15_t)0x2889, + (q15_t)0x2883, (q15_t)0x287d, (q15_t)0x2877, (q15_t)0x2871, (q15_t)0x286b, (q15_t)0x2865, (q15_t)0x285f, (q15_t)0x2859, + (q15_t)0x2853, (q15_t)0x284d, (q15_t)0x2847, (q15_t)0x2841, (q15_t)0x283b, (q15_t)0x2835, (q15_t)0x282f, (q15_t)0x2829, + (q15_t)0x2823, (q15_t)0x281d, (q15_t)0x2817, (q15_t)0x2811, (q15_t)0x280b, (q15_t)0x2805, (q15_t)0x27ff, (q15_t)0x27f9, + (q15_t)0x27f3, (q15_t)0x27ee, (q15_t)0x27e8, (q15_t)0x27e2, (q15_t)0x27dc, (q15_t)0x27d6, (q15_t)0x27d0, (q15_t)0x27ca, + (q15_t)0x27c4, (q15_t)0x27be, (q15_t)0x27b8, (q15_t)0x27b2, (q15_t)0x27ac, (q15_t)0x27a6, (q15_t)0x27a0, (q15_t)0x279a, + (q15_t)0x2794, (q15_t)0x278e, (q15_t)0x2788, (q15_t)0x2782, (q15_t)0x277c, (q15_t)0x2776, (q15_t)0x2770, (q15_t)0x276a, + (q15_t)0x2764, (q15_t)0x275e, (q15_t)0x2758, (q15_t)0x2752, (q15_t)0x274c, (q15_t)0x2746, (q15_t)0x2740, (q15_t)0x273a, + (q15_t)0x2734, (q15_t)0x272e, (q15_t)0x2728, (q15_t)0x2722, (q15_t)0x271c, (q15_t)0x2716, (q15_t)0x2710, (q15_t)0x270a, + (q15_t)0x2704, (q15_t)0x26fe, (q15_t)0x26f8, (q15_t)0x26f2, (q15_t)0x26ec, (q15_t)0x26e7, (q15_t)0x26e1, (q15_t)0x26db, + (q15_t)0x26d5, (q15_t)0x26cf, (q15_t)0x26c9, (q15_t)0x26c3, (q15_t)0x26bd, (q15_t)0x26b7, (q15_t)0x26b1, (q15_t)0x26ab, + (q15_t)0x26a5, (q15_t)0x269f, (q15_t)0x2699, (q15_t)0x2693, (q15_t)0x268d, (q15_t)0x2687, (q15_t)0x2681, (q15_t)0x267b, + (q15_t)0x2675, (q15_t)0x266f, (q15_t)0x2669, (q15_t)0x2663, (q15_t)0x265d, (q15_t)0x2657, (q15_t)0x2651, (q15_t)0x264b, + (q15_t)0x2645, (q15_t)0x263f, (q15_t)0x2639, (q15_t)0x2633, (q15_t)0x262d, (q15_t)0x2627, (q15_t)0x2621, (q15_t)0x261b, + (q15_t)0x2615, (q15_t)0x260f, (q15_t)0x2609, (q15_t)0x2603, (q15_t)0x25fd, (q15_t)0x25f7, (q15_t)0x25f1, (q15_t)0x25eb, + (q15_t)0x25e5, (q15_t)0x25df, (q15_t)0x25d9, (q15_t)0x25d3, (q15_t)0x25cd, (q15_t)0x25c7, (q15_t)0x25c1, (q15_t)0x25bb, + (q15_t)0x25b5, (q15_t)0x25af, (q15_t)0x25a9, (q15_t)0x25a3, (q15_t)0x259d, (q15_t)0x2597, (q15_t)0x2591, (q15_t)0x258b, + (q15_t)0x2585, (q15_t)0x257f, (q15_t)0x2579, (q15_t)0x2573, (q15_t)0x256d, (q15_t)0x2567, (q15_t)0x2561, (q15_t)0x255b, + (q15_t)0x2555, (q15_t)0x254f, (q15_t)0x2549, (q15_t)0x2543, (q15_t)0x253d, (q15_t)0x2537, (q15_t)0x2531, (q15_t)0x252b, + (q15_t)0x2525, (q15_t)0x251f, (q15_t)0x2519, (q15_t)0x2513, (q15_t)0x250c, (q15_t)0x2506, (q15_t)0x2500, (q15_t)0x24fa, + (q15_t)0x24f4, (q15_t)0x24ee, (q15_t)0x24e8, (q15_t)0x24e2, (q15_t)0x24dc, (q15_t)0x24d6, (q15_t)0x24d0, (q15_t)0x24ca, + (q15_t)0x24c4, (q15_t)0x24be, (q15_t)0x24b8, (q15_t)0x24b2, (q15_t)0x24ac, (q15_t)0x24a6, (q15_t)0x24a0, (q15_t)0x249a, + (q15_t)0x2494, (q15_t)0x248e, (q15_t)0x2488, (q15_t)0x2482, (q15_t)0x247c, (q15_t)0x2476, (q15_t)0x2470, (q15_t)0x246a, + (q15_t)0x2464, (q15_t)0x245e, (q15_t)0x2458, (q15_t)0x2452, (q15_t)0x244c, (q15_t)0x2446, (q15_t)0x2440, (q15_t)0x243a, + (q15_t)0x2434, (q15_t)0x242e, (q15_t)0x2428, (q15_t)0x2422, (q15_t)0x241c, (q15_t)0x2416, (q15_t)0x2410, (q15_t)0x240a, + (q15_t)0x2404, (q15_t)0x23fd, (q15_t)0x23f7, (q15_t)0x23f1, (q15_t)0x23eb, (q15_t)0x23e5, (q15_t)0x23df, (q15_t)0x23d9, + (q15_t)0x23d3, (q15_t)0x23cd, (q15_t)0x23c7, (q15_t)0x23c1, (q15_t)0x23bb, (q15_t)0x23b5, (q15_t)0x23af, (q15_t)0x23a9, + (q15_t)0x23a3, (q15_t)0x239d, (q15_t)0x2397, (q15_t)0x2391, (q15_t)0x238b, (q15_t)0x2385, (q15_t)0x237f, (q15_t)0x2379, + (q15_t)0x2373, (q15_t)0x236d, (q15_t)0x2367, (q15_t)0x2361, (q15_t)0x235b, (q15_t)0x2355, (q15_t)0x234e, (q15_t)0x2348, + (q15_t)0x2342, (q15_t)0x233c, (q15_t)0x2336, (q15_t)0x2330, (q15_t)0x232a, (q15_t)0x2324, (q15_t)0x231e, (q15_t)0x2318, + (q15_t)0x2312, (q15_t)0x230c, (q15_t)0x2306, (q15_t)0x2300, (q15_t)0x22fa, (q15_t)0x22f4, (q15_t)0x22ee, (q15_t)0x22e8, + (q15_t)0x22e2, (q15_t)0x22dc, (q15_t)0x22d6, (q15_t)0x22d0, (q15_t)0x22ca, (q15_t)0x22c4, (q15_t)0x22bd, (q15_t)0x22b7, + (q15_t)0x22b1, (q15_t)0x22ab, (q15_t)0x22a5, (q15_t)0x229f, (q15_t)0x2299, (q15_t)0x2293, (q15_t)0x228d, (q15_t)0x2287, + (q15_t)0x2281, (q15_t)0x227b, (q15_t)0x2275, (q15_t)0x226f, (q15_t)0x2269, (q15_t)0x2263, (q15_t)0x225d, (q15_t)0x2257, + (q15_t)0x2251, (q15_t)0x224a, (q15_t)0x2244, (q15_t)0x223e, (q15_t)0x2238, (q15_t)0x2232, (q15_t)0x222c, (q15_t)0x2226, + (q15_t)0x2220, (q15_t)0x221a, (q15_t)0x2214, (q15_t)0x220e, (q15_t)0x2208, (q15_t)0x2202, (q15_t)0x21fc, (q15_t)0x21f6, + (q15_t)0x21f0, (q15_t)0x21ea, (q15_t)0x21e4, (q15_t)0x21dd, (q15_t)0x21d7, (q15_t)0x21d1, (q15_t)0x21cb, (q15_t)0x21c5, + (q15_t)0x21bf, (q15_t)0x21b9, (q15_t)0x21b3, (q15_t)0x21ad, (q15_t)0x21a7, (q15_t)0x21a1, (q15_t)0x219b, (q15_t)0x2195, + (q15_t)0x218f, (q15_t)0x2189, (q15_t)0x2183, (q15_t)0x217c, (q15_t)0x2176, (q15_t)0x2170, (q15_t)0x216a, (q15_t)0x2164, + (q15_t)0x215e, (q15_t)0x2158, (q15_t)0x2152, (q15_t)0x214c, (q15_t)0x2146, (q15_t)0x2140, (q15_t)0x213a, (q15_t)0x2134, + (q15_t)0x212e, (q15_t)0x2128, (q15_t)0x2121, (q15_t)0x211b, (q15_t)0x2115, (q15_t)0x210f, (q15_t)0x2109, (q15_t)0x2103, + (q15_t)0x20fd, (q15_t)0x20f7, (q15_t)0x20f1, (q15_t)0x20eb, (q15_t)0x20e5, (q15_t)0x20df, (q15_t)0x20d9, (q15_t)0x20d3, + (q15_t)0x20cc, (q15_t)0x20c6, (q15_t)0x20c0, (q15_t)0x20ba, (q15_t)0x20b4, (q15_t)0x20ae, (q15_t)0x20a8, (q15_t)0x20a2, + (q15_t)0x209c, (q15_t)0x2096, (q15_t)0x2090, (q15_t)0x208a, (q15_t)0x2084, (q15_t)0x207e, (q15_t)0x2077, (q15_t)0x2071, + (q15_t)0x206b, (q15_t)0x2065, (q15_t)0x205f, (q15_t)0x2059, (q15_t)0x2053, (q15_t)0x204d, (q15_t)0x2047, (q15_t)0x2041, + (q15_t)0x203b, (q15_t)0x2035, (q15_t)0x202e, (q15_t)0x2028, (q15_t)0x2022, (q15_t)0x201c, (q15_t)0x2016, (q15_t)0x2010, + (q15_t)0x200a, (q15_t)0x2004, (q15_t)0x1ffe, (q15_t)0x1ff8, (q15_t)0x1ff2, (q15_t)0x1fec, (q15_t)0x1fe5, (q15_t)0x1fdf, + (q15_t)0x1fd9, (q15_t)0x1fd3, (q15_t)0x1fcd, (q15_t)0x1fc7, (q15_t)0x1fc1, (q15_t)0x1fbb, (q15_t)0x1fb5, (q15_t)0x1faf, + (q15_t)0x1fa9, (q15_t)0x1fa3, (q15_t)0x1f9c, (q15_t)0x1f96, (q15_t)0x1f90, (q15_t)0x1f8a, (q15_t)0x1f84, (q15_t)0x1f7e, + (q15_t)0x1f78, (q15_t)0x1f72, (q15_t)0x1f6c, (q15_t)0x1f66, (q15_t)0x1f60, (q15_t)0x1f59, (q15_t)0x1f53, (q15_t)0x1f4d, + (q15_t)0x1f47, (q15_t)0x1f41, (q15_t)0x1f3b, (q15_t)0x1f35, (q15_t)0x1f2f, (q15_t)0x1f29, (q15_t)0x1f23, (q15_t)0x1f1d, + (q15_t)0x1f16, (q15_t)0x1f10, (q15_t)0x1f0a, (q15_t)0x1f04, (q15_t)0x1efe, (q15_t)0x1ef8, (q15_t)0x1ef2, (q15_t)0x1eec, + (q15_t)0x1ee6, (q15_t)0x1ee0, (q15_t)0x1ed9, (q15_t)0x1ed3, (q15_t)0x1ecd, (q15_t)0x1ec7, (q15_t)0x1ec1, (q15_t)0x1ebb, + (q15_t)0x1eb5, (q15_t)0x1eaf, (q15_t)0x1ea9, (q15_t)0x1ea3, (q15_t)0x1e9c, (q15_t)0x1e96, (q15_t)0x1e90, (q15_t)0x1e8a, + (q15_t)0x1e84, (q15_t)0x1e7e, (q15_t)0x1e78, (q15_t)0x1e72, (q15_t)0x1e6c, (q15_t)0x1e66, (q15_t)0x1e5f, (q15_t)0x1e59, + (q15_t)0x1e53, (q15_t)0x1e4d, (q15_t)0x1e47, (q15_t)0x1e41, (q15_t)0x1e3b, (q15_t)0x1e35, (q15_t)0x1e2f, (q15_t)0x1e29, + (q15_t)0x1e22, (q15_t)0x1e1c, (q15_t)0x1e16, (q15_t)0x1e10, (q15_t)0x1e0a, (q15_t)0x1e04, (q15_t)0x1dfe, (q15_t)0x1df8, + (q15_t)0x1df2, (q15_t)0x1deb, (q15_t)0x1de5, (q15_t)0x1ddf, (q15_t)0x1dd9, (q15_t)0x1dd3, (q15_t)0x1dcd, (q15_t)0x1dc7, + (q15_t)0x1dc1, (q15_t)0x1dbb, (q15_t)0x1db4, (q15_t)0x1dae, (q15_t)0x1da8, (q15_t)0x1da2, (q15_t)0x1d9c, (q15_t)0x1d96, + (q15_t)0x1d90, (q15_t)0x1d8a, (q15_t)0x1d84, (q15_t)0x1d7d, (q15_t)0x1d77, (q15_t)0x1d71, (q15_t)0x1d6b, (q15_t)0x1d65, + (q15_t)0x1d5f, (q15_t)0x1d59, (q15_t)0x1d53, (q15_t)0x1d4c, (q15_t)0x1d46, (q15_t)0x1d40, (q15_t)0x1d3a, (q15_t)0x1d34, + (q15_t)0x1d2e, (q15_t)0x1d28, (q15_t)0x1d22, (q15_t)0x1d1c, (q15_t)0x1d15, (q15_t)0x1d0f, (q15_t)0x1d09, (q15_t)0x1d03, + (q15_t)0x1cfd, (q15_t)0x1cf7, (q15_t)0x1cf1, (q15_t)0x1ceb, (q15_t)0x1ce4, (q15_t)0x1cde, (q15_t)0x1cd8, (q15_t)0x1cd2, + (q15_t)0x1ccc, (q15_t)0x1cc6, (q15_t)0x1cc0, (q15_t)0x1cba, (q15_t)0x1cb3, (q15_t)0x1cad, (q15_t)0x1ca7, (q15_t)0x1ca1, + (q15_t)0x1c9b, (q15_t)0x1c95, (q15_t)0x1c8f, (q15_t)0x1c89, (q15_t)0x1c83, (q15_t)0x1c7c, (q15_t)0x1c76, (q15_t)0x1c70, + (q15_t)0x1c6a, (q15_t)0x1c64, (q15_t)0x1c5e, (q15_t)0x1c58, (q15_t)0x1c51, (q15_t)0x1c4b, (q15_t)0x1c45, (q15_t)0x1c3f, + (q15_t)0x1c39, (q15_t)0x1c33, (q15_t)0x1c2d, (q15_t)0x1c27, (q15_t)0x1c20, (q15_t)0x1c1a, (q15_t)0x1c14, (q15_t)0x1c0e, + (q15_t)0x1c08, (q15_t)0x1c02, (q15_t)0x1bfc, (q15_t)0x1bf6, (q15_t)0x1bef, (q15_t)0x1be9, (q15_t)0x1be3, (q15_t)0x1bdd, + (q15_t)0x1bd7, (q15_t)0x1bd1, (q15_t)0x1bcb, (q15_t)0x1bc4, (q15_t)0x1bbe, (q15_t)0x1bb8, (q15_t)0x1bb2, (q15_t)0x1bac, + (q15_t)0x1ba6, (q15_t)0x1ba0, (q15_t)0x1b9a, (q15_t)0x1b93, (q15_t)0x1b8d, (q15_t)0x1b87, (q15_t)0x1b81, (q15_t)0x1b7b, + (q15_t)0x1b75, (q15_t)0x1b6f, (q15_t)0x1b68, (q15_t)0x1b62, (q15_t)0x1b5c, (q15_t)0x1b56, (q15_t)0x1b50, (q15_t)0x1b4a, + (q15_t)0x1b44, (q15_t)0x1b3d, (q15_t)0x1b37, (q15_t)0x1b31, (q15_t)0x1b2b, (q15_t)0x1b25, (q15_t)0x1b1f, (q15_t)0x1b19, + (q15_t)0x1b13, (q15_t)0x1b0c, (q15_t)0x1b06, (q15_t)0x1b00, (q15_t)0x1afa, (q15_t)0x1af4, (q15_t)0x1aee, (q15_t)0x1ae8, + (q15_t)0x1ae1, (q15_t)0x1adb, (q15_t)0x1ad5, (q15_t)0x1acf, (q15_t)0x1ac9, (q15_t)0x1ac3, (q15_t)0x1abd, (q15_t)0x1ab6, + (q15_t)0x1ab0, (q15_t)0x1aaa, (q15_t)0x1aa4, (q15_t)0x1a9e, (q15_t)0x1a98, (q15_t)0x1a91, (q15_t)0x1a8b, (q15_t)0x1a85, + (q15_t)0x1a7f, (q15_t)0x1a79, (q15_t)0x1a73, (q15_t)0x1a6d, (q15_t)0x1a66, (q15_t)0x1a60, (q15_t)0x1a5a, (q15_t)0x1a54, + (q15_t)0x1a4e, (q15_t)0x1a48, (q15_t)0x1a42, (q15_t)0x1a3b, (q15_t)0x1a35, (q15_t)0x1a2f, (q15_t)0x1a29, (q15_t)0x1a23, + (q15_t)0x1a1d, (q15_t)0x1a17, (q15_t)0x1a10, (q15_t)0x1a0a, (q15_t)0x1a04, (q15_t)0x19fe, (q15_t)0x19f8, (q15_t)0x19f2, + (q15_t)0x19eb, (q15_t)0x19e5, (q15_t)0x19df, (q15_t)0x19d9, (q15_t)0x19d3, (q15_t)0x19cd, (q15_t)0x19c7, (q15_t)0x19c0, + (q15_t)0x19ba, (q15_t)0x19b4, (q15_t)0x19ae, (q15_t)0x19a8, (q15_t)0x19a2, (q15_t)0x199b, (q15_t)0x1995, (q15_t)0x198f, + (q15_t)0x1989, (q15_t)0x1983, (q15_t)0x197d, (q15_t)0x1977, (q15_t)0x1970, (q15_t)0x196a, (q15_t)0x1964, (q15_t)0x195e, + (q15_t)0x1958, (q15_t)0x1952, (q15_t)0x194b, (q15_t)0x1945, (q15_t)0x193f, (q15_t)0x1939, (q15_t)0x1933, (q15_t)0x192d, + (q15_t)0x1926, (q15_t)0x1920, (q15_t)0x191a, (q15_t)0x1914, (q15_t)0x190e, (q15_t)0x1908, (q15_t)0x1901, (q15_t)0x18fb, + (q15_t)0x18f5, (q15_t)0x18ef, (q15_t)0x18e9, (q15_t)0x18e3, (q15_t)0x18dc, (q15_t)0x18d6, (q15_t)0x18d0, (q15_t)0x18ca, + (q15_t)0x18c4, (q15_t)0x18be, (q15_t)0x18b8, (q15_t)0x18b1, (q15_t)0x18ab, (q15_t)0x18a5, (q15_t)0x189f, (q15_t)0x1899, + (q15_t)0x1893, (q15_t)0x188c, (q15_t)0x1886, (q15_t)0x1880, (q15_t)0x187a, (q15_t)0x1874, (q15_t)0x186e, (q15_t)0x1867, + (q15_t)0x1861, (q15_t)0x185b, (q15_t)0x1855, (q15_t)0x184f, (q15_t)0x1848, (q15_t)0x1842, (q15_t)0x183c, (q15_t)0x1836, + (q15_t)0x1830, (q15_t)0x182a, (q15_t)0x1823, (q15_t)0x181d, (q15_t)0x1817, (q15_t)0x1811, (q15_t)0x180b, (q15_t)0x1805, + (q15_t)0x17fe, (q15_t)0x17f8, (q15_t)0x17f2, (q15_t)0x17ec, (q15_t)0x17e6, (q15_t)0x17e0, (q15_t)0x17d9, (q15_t)0x17d3, + (q15_t)0x17cd, (q15_t)0x17c7, (q15_t)0x17c1, (q15_t)0x17bb, (q15_t)0x17b4, (q15_t)0x17ae, (q15_t)0x17a8, (q15_t)0x17a2, + (q15_t)0x179c, (q15_t)0x1795, (q15_t)0x178f, (q15_t)0x1789, (q15_t)0x1783, (q15_t)0x177d, (q15_t)0x1777, (q15_t)0x1770, + (q15_t)0x176a, (q15_t)0x1764, (q15_t)0x175e, (q15_t)0x1758, (q15_t)0x1752, (q15_t)0x174b, (q15_t)0x1745, (q15_t)0x173f, + (q15_t)0x1739, (q15_t)0x1733, (q15_t)0x172c, (q15_t)0x1726, (q15_t)0x1720, (q15_t)0x171a, (q15_t)0x1714, (q15_t)0x170e, + (q15_t)0x1707, (q15_t)0x1701, (q15_t)0x16fb, (q15_t)0x16f5, (q15_t)0x16ef, (q15_t)0x16e8, (q15_t)0x16e2, (q15_t)0x16dc, + (q15_t)0x16d6, (q15_t)0x16d0, (q15_t)0x16ca, (q15_t)0x16c3, (q15_t)0x16bd, (q15_t)0x16b7, (q15_t)0x16b1, (q15_t)0x16ab, + (q15_t)0x16a4, (q15_t)0x169e, (q15_t)0x1698, (q15_t)0x1692, (q15_t)0x168c, (q15_t)0x1686, (q15_t)0x167f, (q15_t)0x1679, + (q15_t)0x1673, (q15_t)0x166d, (q15_t)0x1667, (q15_t)0x1660, (q15_t)0x165a, (q15_t)0x1654, (q15_t)0x164e, (q15_t)0x1648, + (q15_t)0x1642, (q15_t)0x163b, (q15_t)0x1635, (q15_t)0x162f, (q15_t)0x1629, (q15_t)0x1623, (q15_t)0x161c, (q15_t)0x1616, + (q15_t)0x1610, (q15_t)0x160a, (q15_t)0x1604, (q15_t)0x15fd, (q15_t)0x15f7, (q15_t)0x15f1, (q15_t)0x15eb, (q15_t)0x15e5, + (q15_t)0x15de, (q15_t)0x15d8, (q15_t)0x15d2, (q15_t)0x15cc, (q15_t)0x15c6, (q15_t)0x15c0, (q15_t)0x15b9, (q15_t)0x15b3, + (q15_t)0x15ad, (q15_t)0x15a7, (q15_t)0x15a1, (q15_t)0x159a, (q15_t)0x1594, (q15_t)0x158e, (q15_t)0x1588, (q15_t)0x1582, + (q15_t)0x157b, (q15_t)0x1575, (q15_t)0x156f, (q15_t)0x1569, (q15_t)0x1563, (q15_t)0x155c, (q15_t)0x1556, (q15_t)0x1550, + (q15_t)0x154a, (q15_t)0x1544, (q15_t)0x153d, (q15_t)0x1537, (q15_t)0x1531, (q15_t)0x152b, (q15_t)0x1525, (q15_t)0x151e, + (q15_t)0x1518, (q15_t)0x1512, (q15_t)0x150c, (q15_t)0x1506, (q15_t)0x14ff, (q15_t)0x14f9, (q15_t)0x14f3, (q15_t)0x14ed, + (q15_t)0x14e7, (q15_t)0x14e0, (q15_t)0x14da, (q15_t)0x14d4, (q15_t)0x14ce, (q15_t)0x14c8, (q15_t)0x14c1, (q15_t)0x14bb, + (q15_t)0x14b5, (q15_t)0x14af, (q15_t)0x14a9, (q15_t)0x14a2, (q15_t)0x149c, (q15_t)0x1496, (q15_t)0x1490, (q15_t)0x148a, + (q15_t)0x1483, (q15_t)0x147d, (q15_t)0x1477, (q15_t)0x1471, (q15_t)0x146b, (q15_t)0x1464, (q15_t)0x145e, (q15_t)0x1458, + (q15_t)0x1452, (q15_t)0x144c, (q15_t)0x1445, (q15_t)0x143f, (q15_t)0x1439, (q15_t)0x1433, (q15_t)0x142d, (q15_t)0x1426, + (q15_t)0x1420, (q15_t)0x141a, (q15_t)0x1414, (q15_t)0x140e, (q15_t)0x1407, (q15_t)0x1401, (q15_t)0x13fb, (q15_t)0x13f5, + (q15_t)0x13ef, (q15_t)0x13e8, (q15_t)0x13e2, (q15_t)0x13dc, (q15_t)0x13d6, (q15_t)0x13d0, (q15_t)0x13c9, (q15_t)0x13c3, + (q15_t)0x13bd, (q15_t)0x13b7, (q15_t)0x13b1, (q15_t)0x13aa, (q15_t)0x13a4, (q15_t)0x139e, (q15_t)0x1398, (q15_t)0x1391, + (q15_t)0x138b, (q15_t)0x1385, (q15_t)0x137f, (q15_t)0x1379, (q15_t)0x1372, (q15_t)0x136c, (q15_t)0x1366, (q15_t)0x1360, + (q15_t)0x135a, (q15_t)0x1353, (q15_t)0x134d, (q15_t)0x1347, (q15_t)0x1341, (q15_t)0x133b, (q15_t)0x1334, (q15_t)0x132e, + (q15_t)0x1328, (q15_t)0x1322, (q15_t)0x131b, (q15_t)0x1315, (q15_t)0x130f, (q15_t)0x1309, (q15_t)0x1303, (q15_t)0x12fc, + (q15_t)0x12f6, (q15_t)0x12f0, (q15_t)0x12ea, (q15_t)0x12e4, (q15_t)0x12dd, (q15_t)0x12d7, (q15_t)0x12d1, (q15_t)0x12cb, + (q15_t)0x12c4, (q15_t)0x12be, (q15_t)0x12b8, (q15_t)0x12b2, (q15_t)0x12ac, (q15_t)0x12a5, (q15_t)0x129f, (q15_t)0x1299, + (q15_t)0x1293, (q15_t)0x128d, (q15_t)0x1286, (q15_t)0x1280, (q15_t)0x127a, (q15_t)0x1274, (q15_t)0x126d, (q15_t)0x1267, + (q15_t)0x1261, (q15_t)0x125b, (q15_t)0x1255, (q15_t)0x124e, (q15_t)0x1248, (q15_t)0x1242, (q15_t)0x123c, (q15_t)0x1235, + (q15_t)0x122f, (q15_t)0x1229, (q15_t)0x1223, (q15_t)0x121d, (q15_t)0x1216, (q15_t)0x1210, (q15_t)0x120a, (q15_t)0x1204, + (q15_t)0x11fd, (q15_t)0x11f7, (q15_t)0x11f1, (q15_t)0x11eb, (q15_t)0x11e5, (q15_t)0x11de, (q15_t)0x11d8, (q15_t)0x11d2, + (q15_t)0x11cc, (q15_t)0x11c5, (q15_t)0x11bf, (q15_t)0x11b9, (q15_t)0x11b3, (q15_t)0x11ad, (q15_t)0x11a6, (q15_t)0x11a0, + (q15_t)0x119a, (q15_t)0x1194, (q15_t)0x118d, (q15_t)0x1187, (q15_t)0x1181, (q15_t)0x117b, (q15_t)0x1175, (q15_t)0x116e, + (q15_t)0x1168, (q15_t)0x1162, (q15_t)0x115c, (q15_t)0x1155, (q15_t)0x114f, (q15_t)0x1149, (q15_t)0x1143, (q15_t)0x113d, + (q15_t)0x1136, (q15_t)0x1130, (q15_t)0x112a, (q15_t)0x1124, (q15_t)0x111d, (q15_t)0x1117, (q15_t)0x1111, (q15_t)0x110b, + (q15_t)0x1105, (q15_t)0x10fe, (q15_t)0x10f8, (q15_t)0x10f2, (q15_t)0x10ec, (q15_t)0x10e5, (q15_t)0x10df, (q15_t)0x10d9, + (q15_t)0x10d3, (q15_t)0x10cc, (q15_t)0x10c6, (q15_t)0x10c0, (q15_t)0x10ba, (q15_t)0x10b4, (q15_t)0x10ad, (q15_t)0x10a7, + (q15_t)0x10a1, (q15_t)0x109b, (q15_t)0x1094, (q15_t)0x108e, (q15_t)0x1088, (q15_t)0x1082, (q15_t)0x107b, (q15_t)0x1075, + (q15_t)0x106f, (q15_t)0x1069, (q15_t)0x1063, (q15_t)0x105c, (q15_t)0x1056, (q15_t)0x1050, (q15_t)0x104a, (q15_t)0x1043, + (q15_t)0x103d, (q15_t)0x1037, (q15_t)0x1031, (q15_t)0x102a, (q15_t)0x1024, (q15_t)0x101e, (q15_t)0x1018, (q15_t)0x1012, + (q15_t)0x100b, (q15_t)0x1005, (q15_t)0xfff, (q15_t)0xff9, (q15_t)0xff2, (q15_t)0xfec, (q15_t)0xfe6, (q15_t)0xfe0, + (q15_t)0xfd9, (q15_t)0xfd3, (q15_t)0xfcd, (q15_t)0xfc7, (q15_t)0xfc0, (q15_t)0xfba, (q15_t)0xfb4, (q15_t)0xfae, + (q15_t)0xfa8, (q15_t)0xfa1, (q15_t)0xf9b, (q15_t)0xf95, (q15_t)0xf8f, (q15_t)0xf88, (q15_t)0xf82, (q15_t)0xf7c, + (q15_t)0xf76, (q15_t)0xf6f, (q15_t)0xf69, (q15_t)0xf63, (q15_t)0xf5d, (q15_t)0xf56, (q15_t)0xf50, (q15_t)0xf4a, + (q15_t)0xf44, (q15_t)0xf3e, (q15_t)0xf37, (q15_t)0xf31, (q15_t)0xf2b, (q15_t)0xf25, (q15_t)0xf1e, (q15_t)0xf18, + (q15_t)0xf12, (q15_t)0xf0c, (q15_t)0xf05, (q15_t)0xeff, (q15_t)0xef9, (q15_t)0xef3, (q15_t)0xeec, (q15_t)0xee6, + (q15_t)0xee0, (q15_t)0xeda, (q15_t)0xed3, (q15_t)0xecd, (q15_t)0xec7, (q15_t)0xec1, (q15_t)0xeba, (q15_t)0xeb4, + (q15_t)0xeae, (q15_t)0xea8, (q15_t)0xea1, (q15_t)0xe9b, (q15_t)0xe95, (q15_t)0xe8f, (q15_t)0xe89, (q15_t)0xe82, + (q15_t)0xe7c, (q15_t)0xe76, (q15_t)0xe70, (q15_t)0xe69, (q15_t)0xe63, (q15_t)0xe5d, (q15_t)0xe57, (q15_t)0xe50, + (q15_t)0xe4a, (q15_t)0xe44, (q15_t)0xe3e, (q15_t)0xe37, (q15_t)0xe31, (q15_t)0xe2b, (q15_t)0xe25, (q15_t)0xe1e, + (q15_t)0xe18, (q15_t)0xe12, (q15_t)0xe0c, (q15_t)0xe05, (q15_t)0xdff, (q15_t)0xdf9, (q15_t)0xdf3, (q15_t)0xdec, + (q15_t)0xde6, (q15_t)0xde0, (q15_t)0xdda, (q15_t)0xdd3, (q15_t)0xdcd, (q15_t)0xdc7, (q15_t)0xdc1, (q15_t)0xdba, + (q15_t)0xdb4, (q15_t)0xdae, (q15_t)0xda8, (q15_t)0xda1, (q15_t)0xd9b, (q15_t)0xd95, (q15_t)0xd8f, (q15_t)0xd88, + (q15_t)0xd82, (q15_t)0xd7c, (q15_t)0xd76, (q15_t)0xd6f, (q15_t)0xd69, (q15_t)0xd63, (q15_t)0xd5d, (q15_t)0xd56, + (q15_t)0xd50, (q15_t)0xd4a, (q15_t)0xd44, (q15_t)0xd3d, (q15_t)0xd37, (q15_t)0xd31, (q15_t)0xd2b, (q15_t)0xd24, + (q15_t)0xd1e, (q15_t)0xd18, (q15_t)0xd12, (q15_t)0xd0b, (q15_t)0xd05, (q15_t)0xcff, (q15_t)0xcf9, (q15_t)0xcf2, + (q15_t)0xcec, (q15_t)0xce6, (q15_t)0xce0, (q15_t)0xcd9, (q15_t)0xcd3, (q15_t)0xccd, (q15_t)0xcc7, (q15_t)0xcc0, + (q15_t)0xcba, (q15_t)0xcb4, (q15_t)0xcae, (q15_t)0xca7, (q15_t)0xca1, (q15_t)0xc9b, (q15_t)0xc95, (q15_t)0xc8e, + (q15_t)0xc88, (q15_t)0xc82, (q15_t)0xc7c, (q15_t)0xc75, (q15_t)0xc6f, (q15_t)0xc69, (q15_t)0xc63, (q15_t)0xc5c, + (q15_t)0xc56, (q15_t)0xc50, (q15_t)0xc4a, (q15_t)0xc43, (q15_t)0xc3d, (q15_t)0xc37, (q15_t)0xc31, (q15_t)0xc2a, + (q15_t)0xc24, (q15_t)0xc1e, (q15_t)0xc18, (q15_t)0xc11, (q15_t)0xc0b, (q15_t)0xc05, (q15_t)0xbff, (q15_t)0xbf8, + (q15_t)0xbf2, (q15_t)0xbec, (q15_t)0xbe6, (q15_t)0xbdf, (q15_t)0xbd9, (q15_t)0xbd3, (q15_t)0xbcd, (q15_t)0xbc6, + (q15_t)0xbc0, (q15_t)0xbba, (q15_t)0xbb4, (q15_t)0xbad, (q15_t)0xba7, (q15_t)0xba1, (q15_t)0xb9b, (q15_t)0xb94, + (q15_t)0xb8e, (q15_t)0xb88, (q15_t)0xb81, (q15_t)0xb7b, (q15_t)0xb75, (q15_t)0xb6f, (q15_t)0xb68, (q15_t)0xb62, + (q15_t)0xb5c, (q15_t)0xb56, (q15_t)0xb4f, (q15_t)0xb49, (q15_t)0xb43, (q15_t)0xb3d, (q15_t)0xb36, (q15_t)0xb30, + (q15_t)0xb2a, (q15_t)0xb24, (q15_t)0xb1d, (q15_t)0xb17, (q15_t)0xb11, (q15_t)0xb0b, (q15_t)0xb04, (q15_t)0xafe, + (q15_t)0xaf8, (q15_t)0xaf2, (q15_t)0xaeb, (q15_t)0xae5, (q15_t)0xadf, (q15_t)0xad8, (q15_t)0xad2, (q15_t)0xacc, + (q15_t)0xac6, (q15_t)0xabf, (q15_t)0xab9, (q15_t)0xab3, (q15_t)0xaad, (q15_t)0xaa6, (q15_t)0xaa0, (q15_t)0xa9a, + (q15_t)0xa94, (q15_t)0xa8d, (q15_t)0xa87, (q15_t)0xa81, (q15_t)0xa7b, (q15_t)0xa74, (q15_t)0xa6e, (q15_t)0xa68, + (q15_t)0xa62, (q15_t)0xa5b, (q15_t)0xa55, (q15_t)0xa4f, (q15_t)0xa48, (q15_t)0xa42, (q15_t)0xa3c, (q15_t)0xa36, + (q15_t)0xa2f, (q15_t)0xa29, (q15_t)0xa23, (q15_t)0xa1d, (q15_t)0xa16, (q15_t)0xa10, (q15_t)0xa0a, (q15_t)0xa04, + (q15_t)0x9fd, (q15_t)0x9f7, (q15_t)0x9f1, (q15_t)0x9eb, (q15_t)0x9e4, (q15_t)0x9de, (q15_t)0x9d8, (q15_t)0x9d1, + (q15_t)0x9cb, (q15_t)0x9c5, (q15_t)0x9bf, (q15_t)0x9b8, (q15_t)0x9b2, (q15_t)0x9ac, (q15_t)0x9a6, (q15_t)0x99f, + (q15_t)0x999, (q15_t)0x993, (q15_t)0x98d, (q15_t)0x986, (q15_t)0x980, (q15_t)0x97a, (q15_t)0x973, (q15_t)0x96d, + (q15_t)0x967, (q15_t)0x961, (q15_t)0x95a, (q15_t)0x954, (q15_t)0x94e, (q15_t)0x948, (q15_t)0x941, (q15_t)0x93b, + (q15_t)0x935, (q15_t)0x92f, (q15_t)0x928, (q15_t)0x922, (q15_t)0x91c, (q15_t)0x915, (q15_t)0x90f, (q15_t)0x909, + (q15_t)0x903, (q15_t)0x8fc, (q15_t)0x8f6, (q15_t)0x8f0, (q15_t)0x8ea, (q15_t)0x8e3, (q15_t)0x8dd, (q15_t)0x8d7, + (q15_t)0x8d1, (q15_t)0x8ca, (q15_t)0x8c4, (q15_t)0x8be, (q15_t)0x8b7, (q15_t)0x8b1, (q15_t)0x8ab, (q15_t)0x8a5, + (q15_t)0x89e, (q15_t)0x898, (q15_t)0x892, (q15_t)0x88c, (q15_t)0x885, (q15_t)0x87f, (q15_t)0x879, (q15_t)0x872, + (q15_t)0x86c, (q15_t)0x866, (q15_t)0x860, (q15_t)0x859, (q15_t)0x853, (q15_t)0x84d, (q15_t)0x847, (q15_t)0x840, + (q15_t)0x83a, (q15_t)0x834, (q15_t)0x82e, (q15_t)0x827, (q15_t)0x821, (q15_t)0x81b, (q15_t)0x814, (q15_t)0x80e, + (q15_t)0x808, (q15_t)0x802, (q15_t)0x7fb, (q15_t)0x7f5, (q15_t)0x7ef, (q15_t)0x7e9, (q15_t)0x7e2, (q15_t)0x7dc, + (q15_t)0x7d6, (q15_t)0x7cf, (q15_t)0x7c9, (q15_t)0x7c3, (q15_t)0x7bd, (q15_t)0x7b6, (q15_t)0x7b0, (q15_t)0x7aa, + (q15_t)0x7a4, (q15_t)0x79d, (q15_t)0x797, (q15_t)0x791, (q15_t)0x78a, (q15_t)0x784, (q15_t)0x77e, (q15_t)0x778, + (q15_t)0x771, (q15_t)0x76b, (q15_t)0x765, (q15_t)0x75f, (q15_t)0x758, (q15_t)0x752, (q15_t)0x74c, (q15_t)0x745, + (q15_t)0x73f, (q15_t)0x739, (q15_t)0x733, (q15_t)0x72c, (q15_t)0x726, (q15_t)0x720, (q15_t)0x71a, (q15_t)0x713, + (q15_t)0x70d, (q15_t)0x707, (q15_t)0x700, (q15_t)0x6fa, (q15_t)0x6f4, (q15_t)0x6ee, (q15_t)0x6e7, (q15_t)0x6e1, + (q15_t)0x6db, (q15_t)0x6d5, (q15_t)0x6ce, (q15_t)0x6c8, (q15_t)0x6c2, (q15_t)0x6bb, (q15_t)0x6b5, (q15_t)0x6af, + (q15_t)0x6a9, (q15_t)0x6a2, (q15_t)0x69c, (q15_t)0x696, (q15_t)0x690, (q15_t)0x689, (q15_t)0x683, (q15_t)0x67d, + (q15_t)0x676, (q15_t)0x670, (q15_t)0x66a, (q15_t)0x664, (q15_t)0x65d, (q15_t)0x657, (q15_t)0x651, (q15_t)0x64a, + (q15_t)0x644, (q15_t)0x63e, (q15_t)0x638, (q15_t)0x631, (q15_t)0x62b, (q15_t)0x625, (q15_t)0x61f, (q15_t)0x618, + (q15_t)0x612, (q15_t)0x60c, (q15_t)0x605, (q15_t)0x5ff, (q15_t)0x5f9, (q15_t)0x5f3, (q15_t)0x5ec, (q15_t)0x5e6, + (q15_t)0x5e0, (q15_t)0x5da, (q15_t)0x5d3, (q15_t)0x5cd, (q15_t)0x5c7, (q15_t)0x5c0, (q15_t)0x5ba, (q15_t)0x5b4, + (q15_t)0x5ae, (q15_t)0x5a7, (q15_t)0x5a1, (q15_t)0x59b, (q15_t)0x594, (q15_t)0x58e, (q15_t)0x588, (q15_t)0x582, + (q15_t)0x57b, (q15_t)0x575, (q15_t)0x56f, (q15_t)0x569, (q15_t)0x562, (q15_t)0x55c, (q15_t)0x556, (q15_t)0x54f, + (q15_t)0x549, (q15_t)0x543, (q15_t)0x53d, (q15_t)0x536, (q15_t)0x530, (q15_t)0x52a, (q15_t)0x523, (q15_t)0x51d, + (q15_t)0x517, (q15_t)0x511, (q15_t)0x50a, (q15_t)0x504, (q15_t)0x4fe, (q15_t)0x4f8, (q15_t)0x4f1, (q15_t)0x4eb, + (q15_t)0x4e5, (q15_t)0x4de, (q15_t)0x4d8, (q15_t)0x4d2, (q15_t)0x4cc, (q15_t)0x4c5, (q15_t)0x4bf, (q15_t)0x4b9, + (q15_t)0x4b2, (q15_t)0x4ac, (q15_t)0x4a6, (q15_t)0x4a0, (q15_t)0x499, (q15_t)0x493, (q15_t)0x48d, (q15_t)0x487, + (q15_t)0x480, (q15_t)0x47a, (q15_t)0x474, (q15_t)0x46d, (q15_t)0x467, (q15_t)0x461, (q15_t)0x45b, (q15_t)0x454, + (q15_t)0x44e, (q15_t)0x448, (q15_t)0x441, (q15_t)0x43b, (q15_t)0x435, (q15_t)0x42f, (q15_t)0x428, (q15_t)0x422, + (q15_t)0x41c, (q15_t)0x415, (q15_t)0x40f, (q15_t)0x409, (q15_t)0x403, (q15_t)0x3fc, (q15_t)0x3f6, (q15_t)0x3f0, + (q15_t)0x3ea, (q15_t)0x3e3, (q15_t)0x3dd, (q15_t)0x3d7, (q15_t)0x3d0, (q15_t)0x3ca, (q15_t)0x3c4, (q15_t)0x3be, + (q15_t)0x3b7, (q15_t)0x3b1, (q15_t)0x3ab, (q15_t)0x3a4, (q15_t)0x39e, (q15_t)0x398, (q15_t)0x392, (q15_t)0x38b, + (q15_t)0x385, (q15_t)0x37f, (q15_t)0x378, (q15_t)0x372, (q15_t)0x36c, (q15_t)0x366, (q15_t)0x35f, (q15_t)0x359, + (q15_t)0x353, (q15_t)0x34c, (q15_t)0x346, (q15_t)0x340, (q15_t)0x33a, (q15_t)0x333, (q15_t)0x32d, (q15_t)0x327, + (q15_t)0x321, (q15_t)0x31a, (q15_t)0x314, (q15_t)0x30e, (q15_t)0x307, (q15_t)0x301, (q15_t)0x2fb, (q15_t)0x2f5, + (q15_t)0x2ee, (q15_t)0x2e8, (q15_t)0x2e2, (q15_t)0x2db, (q15_t)0x2d5, (q15_t)0x2cf, (q15_t)0x2c9, (q15_t)0x2c2, + (q15_t)0x2bc, (q15_t)0x2b6, (q15_t)0x2af, (q15_t)0x2a9, (q15_t)0x2a3, (q15_t)0x29d, (q15_t)0x296, (q15_t)0x290, + (q15_t)0x28a, (q15_t)0x283, (q15_t)0x27d, (q15_t)0x277, (q15_t)0x271, (q15_t)0x26a, (q15_t)0x264, (q15_t)0x25e, + (q15_t)0x258, (q15_t)0x251, (q15_t)0x24b, (q15_t)0x245, (q15_t)0x23e, (q15_t)0x238, (q15_t)0x232, (q15_t)0x22c, + (q15_t)0x225, (q15_t)0x21f, (q15_t)0x219, (q15_t)0x212, (q15_t)0x20c, (q15_t)0x206, (q15_t)0x200, (q15_t)0x1f9, + (q15_t)0x1f3, (q15_t)0x1ed, (q15_t)0x1e6, (q15_t)0x1e0, (q15_t)0x1da, (q15_t)0x1d4, (q15_t)0x1cd, (q15_t)0x1c7, + (q15_t)0x1c1, (q15_t)0x1ba, (q15_t)0x1b4, (q15_t)0x1ae, (q15_t)0x1a8, (q15_t)0x1a1, (q15_t)0x19b, (q15_t)0x195, + (q15_t)0x18e, (q15_t)0x188, (q15_t)0x182, (q15_t)0x17c, (q15_t)0x175, (q15_t)0x16f, (q15_t)0x169, (q15_t)0x162, + (q15_t)0x15c, (q15_t)0x156, (q15_t)0x150, (q15_t)0x149, (q15_t)0x143, (q15_t)0x13d, (q15_t)0x137, (q15_t)0x130, + (q15_t)0x12a, (q15_t)0x124, (q15_t)0x11d, (q15_t)0x117, (q15_t)0x111, (q15_t)0x10b, (q15_t)0x104, (q15_t)0xfe, + (q15_t)0xf8, (q15_t)0xf1, (q15_t)0xeb, (q15_t)0xe5, (q15_t)0xdf, (q15_t)0xd8, (q15_t)0xd2, (q15_t)0xcc, + (q15_t)0xc5, (q15_t)0xbf, (q15_t)0xb9, (q15_t)0xb3, (q15_t)0xac, (q15_t)0xa6, (q15_t)0xa0, (q15_t)0x99, + (q15_t)0x93, (q15_t)0x8d, (q15_t)0x87, (q15_t)0x80, (q15_t)0x7a, (q15_t)0x74, (q15_t)0x6d, (q15_t)0x67, + (q15_t)0x61, (q15_t)0x5b, (q15_t)0x54, (q15_t)0x4e, (q15_t)0x48, (q15_t)0x41, (q15_t)0x3b, (q15_t)0x35, + (q15_t)0x2f, (q15_t)0x28, (q15_t)0x22, (q15_t)0x1c, (q15_t)0x15, (q15_t)0xf, (q15_t)0x9, (q15_t)0x3 +}; + +/** + * @} end of DCT4_IDCT4_Table group + */ + +/** + * @addtogroup DCT4_IDCT4 + * @{ + */ + +/** + * @brief Initialization function for the Q15 DCT4/IDCT4. + * @param[in,out] *S points to an instance of Q15 DCT4/IDCT4 structure. + * @param[in] *S_RFFT points to an instance of Q15 RFFT/RIFFT structure. + * @param[in] *S_CFFT points to an instance of Q15 CFFT/CIFFT structure. + * @param[in] N length of the DCT4. + * @param[in] Nby2 half of the length of the DCT4. + * @param[in] normalize normalizing factor. + * @return arm_status function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if N is not a supported transform length. + * \par Normalizing factor: + * The normalizing factor is sqrt(2/N), which depends on the size of transform N. + * Normalizing factors in 1.15 format are mentioned in the table below for different DCT sizes: + * \image html dct4NormalizingQ15Table.gif + */ + +arm_status arm_dct4_init_q15( + arm_dct4_instance_q15 * S, + arm_rfft_instance_q15 * S_RFFT, + arm_cfft_radix4_instance_q15 * S_CFFT, + uint16_t N, + uint16_t Nby2, + q15_t normalize) +{ + /* Initialise the default arm status */ + arm_status status = ARM_MATH_SUCCESS; + + /* Initializing the pointer array with the weight table base addresses of different lengths */ + q15_t *twiddlePtr[4] = { (q15_t *) WeightsQ15_128, (q15_t *) WeightsQ15_512, + (q15_t *) WeightsQ15_2048, (q15_t *) WeightsQ15_8192 + }; + + /* Initializing the pointer array with the cos factor table base addresses of different lengths */ + q15_t *pCosFactor[4] = + { (q15_t *) cos_factorsQ15_128, (q15_t *) cos_factorsQ15_512, + (q15_t *) cos_factorsQ15_2048, (q15_t *) cos_factorsQ15_8192 + }; + + /* Initialize the DCT4 length */ + S->N = N; + + /* Initialize the half of DCT4 length */ + S->Nby2 = Nby2; + + /* Initialize the DCT4 Normalizing factor */ + S->normalize = normalize; + + /* Initialize Real FFT Instance */ + S->pRfft = S_RFFT; + + /* Initialize Complex FFT Instance */ + S->pCfft = S_CFFT; + + switch (N) + { + /* Initialize the table modifier values */ + case 8192U: + S->pTwiddle = twiddlePtr[3]; + S->pCosFactor = pCosFactor[3]; + break; + case 2048U: + S->pTwiddle = twiddlePtr[2]; + S->pCosFactor = pCosFactor[2]; + break; + case 512U: + S->pTwiddle = twiddlePtr[1]; + S->pCosFactor = pCosFactor[1]; + break; + case 128U: + S->pTwiddle = twiddlePtr[0]; + S->pCosFactor = pCosFactor[0]; + break; + default: + status = ARM_MATH_ARGUMENT_ERROR; + } + + /* Initialize the RFFT/RIFFT */ + arm_rfft_init_q15(S->pRfft, S->N, 0U, 1U); + + /* return the status of DCT4 Init function */ + return (status); +} + +/** + * @} end of DCT4_IDCT4 group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_dct4_init_q31.c b/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_dct4_init_q31.c new file mode 100644 index 0000000..5873a33 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_dct4_init_q31.c @@ -0,0 +1,7686 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_dct4_init_q31.c + * Description: Initialization function of DCT-4 & IDCT4 Q31 + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup DCT4_IDCT4 + */ + +/** + * @addtogroup DCT4_IDCT4_Table DCT Type IV Tables + * @{ + */ + +/* +* @brief Weights Table +*/ + +/** + * \par + * Weights tables are generated using the formula :
weights[n] = e^(-j*n*pi/(2*N))
+ * \par + * C command to generate the table + *
+ * for(i = 0; i< N; i++)
+ * {
+ *   weights[2*i]= cos(i*c);
+ *   weights[(2*i)+1]= -sin(i * c);
+ * } 
+ * \par + * where N is the Number of weights to be calculated and c is pi/(2*N) + * \par + * Convert the output to q31 format by multiplying with 2^31 and saturated if required. + * \par + * In the tables below the real and imaginary values are placed alternatively, hence the + * array length is 2*N. + */ + +static const q31_t WeightsQ31_128[256] = { + (q31_t)0x7fffffff, (q31_t)0x00000000, (q31_t)0x7ffd885a, (q31_t)0xfe6de2e0, (q31_t)0x7ff62182, (q31_t)0xfcdbd541, (q31_t)0x7fe9cbc0, (q31_t)0xfb49e6a3, + (q31_t)0x7fd8878e, (q31_t)0xf9b82684, (q31_t)0x7fc25596, (q31_t)0xf826a462, (q31_t)0x7fa736b4, (q31_t)0xf6956fb7, (q31_t)0x7f872bf3, (q31_t)0xf50497fb, + (q31_t)0x7f62368f, (q31_t)0xf3742ca2, (q31_t)0x7f3857f6, (q31_t)0xf1e43d1c, (q31_t)0x7f0991c4, (q31_t)0xf054d8d5, (q31_t)0x7ed5e5c6, (q31_t)0xeec60f31, + (q31_t)0x7e9d55fc, (q31_t)0xed37ef91, (q31_t)0x7e5fe493, (q31_t)0xebaa894f, (q31_t)0x7e1d93ea, (q31_t)0xea1debbb, (q31_t)0x7dd6668f, (q31_t)0xe8922622, + (q31_t)0x7d8a5f40, (q31_t)0xe70747c4, (q31_t)0x7d3980ec, (q31_t)0xe57d5fda, (q31_t)0x7ce3ceb2, (q31_t)0xe3f47d96, (q31_t)0x7c894bde, (q31_t)0xe26cb01b, + (q31_t)0x7c29fbee, (q31_t)0xe0e60685, (q31_t)0x7bc5e290, (q31_t)0xdf608fe4, (q31_t)0x7b5d039e, (q31_t)0xdddc5b3b, (q31_t)0x7aef6323, (q31_t)0xdc597781, + (q31_t)0x7a7d055b, (q31_t)0xdad7f3a2, (q31_t)0x7a05eead, (q31_t)0xd957de7a, (q31_t)0x798a23b1, (q31_t)0xd7d946d8, (q31_t)0x7909a92d, (q31_t)0xd65c3b7b, + (q31_t)0x78848414, (q31_t)0xd4e0cb15, (q31_t)0x77fab989, (q31_t)0xd3670446, (q31_t)0x776c4edb, (q31_t)0xd1eef59e, (q31_t)0x76d94989, (q31_t)0xd078ad9e, + (q31_t)0x7641af3d, (q31_t)0xcf043ab3, (q31_t)0x75a585cf, (q31_t)0xcd91ab39, (q31_t)0x7504d345, (q31_t)0xcc210d79, (q31_t)0x745f9dd1, (q31_t)0xcab26fa9, + (q31_t)0x73b5ebd1, (q31_t)0xc945dfec, (q31_t)0x7307c3d0, (q31_t)0xc7db6c50, (q31_t)0x72552c85, (q31_t)0xc67322ce, (q31_t)0x719e2cd2, (q31_t)0xc50d1149, + (q31_t)0x70e2cbc6, (q31_t)0xc3a94590, (q31_t)0x7023109a, (q31_t)0xc247cd5a, (q31_t)0x6f5f02b2, (q31_t)0xc0e8b648, (q31_t)0x6e96a99d, (q31_t)0xbf8c0de3, + (q31_t)0x6dca0d14, (q31_t)0xbe31e19b, (q31_t)0x6cf934fc, (q31_t)0xbcda3ecb, (q31_t)0x6c242960, (q31_t)0xbb8532b0, (q31_t)0x6b4af279, (q31_t)0xba32ca71, + (q31_t)0x6a6d98a4, (q31_t)0xb8e31319, (q31_t)0x698c246c, (q31_t)0xb796199b, (q31_t)0x68a69e81, (q31_t)0xb64beacd, (q31_t)0x67bd0fbd, (q31_t)0xb5049368, + (q31_t)0x66cf8120, (q31_t)0xb3c0200c, (q31_t)0x65ddfbd3, (q31_t)0xb27e9d3c, (q31_t)0x64e88926, (q31_t)0xb140175b, (q31_t)0x63ef3290, (q31_t)0xb0049ab3, + (q31_t)0x62f201ac, (q31_t)0xaecc336c, (q31_t)0x61f1003f, (q31_t)0xad96ed92, (q31_t)0x60ec3830, (q31_t)0xac64d510, (q31_t)0x5fe3b38d, (q31_t)0xab35f5b5, + (q31_t)0x5ed77c8a, (q31_t)0xaa0a5b2e, (q31_t)0x5dc79d7c, (q31_t)0xa8e21106, (q31_t)0x5cb420e0, (q31_t)0xa7bd22ac, (q31_t)0x5b9d1154, (q31_t)0xa69b9b68, + (q31_t)0x5a82799a, (q31_t)0xa57d8666, (q31_t)0x59646498, (q31_t)0xa462eeac, (q31_t)0x5842dd54, (q31_t)0xa34bdf20, (q31_t)0x571deefa, (q31_t)0xa2386284, + (q31_t)0x55f5a4d2, (q31_t)0xa1288376, (q31_t)0x54ca0a4b, (q31_t)0xa01c4c73, (q31_t)0x539b2af0, (q31_t)0x9f13c7d0, (q31_t)0x5269126e, (q31_t)0x9e0effc1, + (q31_t)0x5133cc94, (q31_t)0x9d0dfe54, (q31_t)0x4ffb654d, (q31_t)0x9c10cd70, (q31_t)0x4ebfe8a5, (q31_t)0x9b1776da, (q31_t)0x4d8162c4, (q31_t)0x9a22042d, + (q31_t)0x4c3fdff4, (q31_t)0x99307ee0, (q31_t)0x4afb6c98, (q31_t)0x9842f043, (q31_t)0x49b41533, (q31_t)0x9759617f, (q31_t)0x4869e665, (q31_t)0x9673db94, + (q31_t)0x471cece7, (q31_t)0x9592675c, (q31_t)0x45cd358f, (q31_t)0x94b50d87, (q31_t)0x447acd50, (q31_t)0x93dbd6a0, (q31_t)0x4325c135, (q31_t)0x9306cb04, + (q31_t)0x41ce1e65, (q31_t)0x9235f2ec, (q31_t)0x4073f21d, (q31_t)0x91695663, (q31_t)0x3f1749b8, (q31_t)0x90a0fd4e, (q31_t)0x3db832a6, (q31_t)0x8fdcef66, + (q31_t)0x3c56ba70, (q31_t)0x8f1d343a, (q31_t)0x3af2eeb7, (q31_t)0x8e61d32e, (q31_t)0x398cdd32, (q31_t)0x8daad37b, (q31_t)0x382493b0, (q31_t)0x8cf83c30, + (q31_t)0x36ba2014, (q31_t)0x8c4a142f, (q31_t)0x354d9057, (q31_t)0x8ba0622f, (q31_t)0x33def287, (q31_t)0x8afb2cbb, (q31_t)0x326e54c7, (q31_t)0x8a5a7a31, + (q31_t)0x30fbc54d, (q31_t)0x89be50c3, (q31_t)0x2f875262, (q31_t)0x8926b677, (q31_t)0x2e110a62, (q31_t)0x8893b125, (q31_t)0x2c98fbba, (q31_t)0x88054677, + (q31_t)0x2b1f34eb, (q31_t)0x877b7bec, (q31_t)0x29a3c485, (q31_t)0x86f656d3, (q31_t)0x2826b928, (q31_t)0x8675dc4f, (q31_t)0x26a82186, (q31_t)0x85fa1153, + (q31_t)0x25280c5e, (q31_t)0x8582faa5, (q31_t)0x23a6887f, (q31_t)0x85109cdd, (q31_t)0x2223a4c5, (q31_t)0x84a2fc62, (q31_t)0x209f701c, (q31_t)0x843a1d70, + (q31_t)0x1f19f97b, (q31_t)0x83d60412, (q31_t)0x1d934fe5, (q31_t)0x8376b422, (q31_t)0x1c0b826a, (q31_t)0x831c314e, (q31_t)0x1a82a026, (q31_t)0x82c67f14, + (q31_t)0x18f8b83c, (q31_t)0x8275a0c0, (q31_t)0x176dd9de, (q31_t)0x82299971, (q31_t)0x15e21445, (q31_t)0x81e26c16, (q31_t)0x145576b1, (q31_t)0x81a01b6d, + (q31_t)0x12c8106f, (q31_t)0x8162aa04, (q31_t)0x1139f0cf, (q31_t)0x812a1a3a, (q31_t)0xfab272b, (q31_t)0x80f66e3c, (q31_t)0xe1bc2e4, (q31_t)0x80c7a80a, + (q31_t)0xc8bd35e, (q31_t)0x809dc971, (q31_t)0xafb6805, (q31_t)0x8078d40d, (q31_t)0x96a9049, (q31_t)0x8058c94c, (q31_t)0x7d95b9e, (q31_t)0x803daa6a, + (q31_t)0x647d97c, (q31_t)0x80277872, (q31_t)0x4b6195d, (q31_t)0x80163440, (q31_t)0x3242abf, (q31_t)0x8009de7e, (q31_t)0x1921d20, (q31_t)0x800277a6 +}; + +static const q31_t WeightsQ31_512[1024] = { + (q31_t)0x7fffffff, (q31_t)0x00000000, (q31_t)0x7fffd886, (q31_t)0xff9b781d, (q31_t)0x7fff6216, (q31_t)0xff36f078, (q31_t)0x7ffe9cb2, (q31_t)0xfed2694f, + (q31_t)0x7ffd885a, (q31_t)0xfe6de2e0, (q31_t)0x7ffc250f, (q31_t)0xfe095d69, (q31_t)0x7ffa72d1, (q31_t)0xfda4d929, (q31_t)0x7ff871a2, (q31_t)0xfd40565c, + (q31_t)0x7ff62182, (q31_t)0xfcdbd541, (q31_t)0x7ff38274, (q31_t)0xfc775616, (q31_t)0x7ff09478, (q31_t)0xfc12d91a, (q31_t)0x7fed5791, (q31_t)0xfbae5e89, + (q31_t)0x7fe9cbc0, (q31_t)0xfb49e6a3, (q31_t)0x7fe5f108, (q31_t)0xfae571a4, (q31_t)0x7fe1c76b, (q31_t)0xfa80ffcb, (q31_t)0x7fdd4eec, (q31_t)0xfa1c9157, + (q31_t)0x7fd8878e, (q31_t)0xf9b82684, (q31_t)0x7fd37153, (q31_t)0xf953bf91, (q31_t)0x7fce0c3e, (q31_t)0xf8ef5cbb, (q31_t)0x7fc85854, (q31_t)0xf88afe42, + (q31_t)0x7fc25596, (q31_t)0xf826a462, (q31_t)0x7fbc040a, (q31_t)0xf7c24f59, (q31_t)0x7fb563b3, (q31_t)0xf75dff66, (q31_t)0x7fae7495, (q31_t)0xf6f9b4c6, + (q31_t)0x7fa736b4, (q31_t)0xf6956fb7, (q31_t)0x7f9faa15, (q31_t)0xf6313077, (q31_t)0x7f97cebd, (q31_t)0xf5ccf743, (q31_t)0x7f8fa4b0, (q31_t)0xf568c45b, + (q31_t)0x7f872bf3, (q31_t)0xf50497fb, (q31_t)0x7f7e648c, (q31_t)0xf4a07261, (q31_t)0x7f754e80, (q31_t)0xf43c53cb, (q31_t)0x7f6be9d4, (q31_t)0xf3d83c77, + (q31_t)0x7f62368f, (q31_t)0xf3742ca2, (q31_t)0x7f5834b7, (q31_t)0xf310248a, (q31_t)0x7f4de451, (q31_t)0xf2ac246e, (q31_t)0x7f434563, (q31_t)0xf2482c8a, + (q31_t)0x7f3857f6, (q31_t)0xf1e43d1c, (q31_t)0x7f2d1c0e, (q31_t)0xf1805662, (q31_t)0x7f2191b4, (q31_t)0xf11c789a, (q31_t)0x7f15b8ee, (q31_t)0xf0b8a401, + (q31_t)0x7f0991c4, (q31_t)0xf054d8d5, (q31_t)0x7efd1c3c, (q31_t)0xeff11753, (q31_t)0x7ef05860, (q31_t)0xef8d5fb8, (q31_t)0x7ee34636, (q31_t)0xef29b243, + (q31_t)0x7ed5e5c6, (q31_t)0xeec60f31, (q31_t)0x7ec8371a, (q31_t)0xee6276bf, (q31_t)0x7eba3a39, (q31_t)0xedfee92b, (q31_t)0x7eabef2c, (q31_t)0xed9b66b2, + (q31_t)0x7e9d55fc, (q31_t)0xed37ef91, (q31_t)0x7e8e6eb2, (q31_t)0xecd48407, (q31_t)0x7e7f3957, (q31_t)0xec71244f, (q31_t)0x7e6fb5f4, (q31_t)0xec0dd0a8, + (q31_t)0x7e5fe493, (q31_t)0xebaa894f, (q31_t)0x7e4fc53e, (q31_t)0xeb474e81, (q31_t)0x7e3f57ff, (q31_t)0xeae4207a, (q31_t)0x7e2e9cdf, (q31_t)0xea80ff7a, + (q31_t)0x7e1d93ea, (q31_t)0xea1debbb, (q31_t)0x7e0c3d29, (q31_t)0xe9bae57d, (q31_t)0x7dfa98a8, (q31_t)0xe957ecfb, (q31_t)0x7de8a670, (q31_t)0xe8f50273, + (q31_t)0x7dd6668f, (q31_t)0xe8922622, (q31_t)0x7dc3d90d, (q31_t)0xe82f5844, (q31_t)0x7db0fdf8, (q31_t)0xe7cc9917, (q31_t)0x7d9dd55a, (q31_t)0xe769e8d8, + (q31_t)0x7d8a5f40, (q31_t)0xe70747c4, (q31_t)0x7d769bb5, (q31_t)0xe6a4b616, (q31_t)0x7d628ac6, (q31_t)0xe642340d, (q31_t)0x7d4e2c7f, (q31_t)0xe5dfc1e5, + (q31_t)0x7d3980ec, (q31_t)0xe57d5fda, (q31_t)0x7d24881b, (q31_t)0xe51b0e2a, (q31_t)0x7d0f4218, (q31_t)0xe4b8cd11, (q31_t)0x7cf9aef0, (q31_t)0xe4569ccb, + (q31_t)0x7ce3ceb2, (q31_t)0xe3f47d96, (q31_t)0x7ccda169, (q31_t)0xe3926fad, (q31_t)0x7cb72724, (q31_t)0xe330734d, (q31_t)0x7ca05ff1, (q31_t)0xe2ce88b3, + (q31_t)0x7c894bde, (q31_t)0xe26cb01b, (q31_t)0x7c71eaf9, (q31_t)0xe20ae9c1, (q31_t)0x7c5a3d50, (q31_t)0xe1a935e2, (q31_t)0x7c4242f2, (q31_t)0xe14794ba, + (q31_t)0x7c29fbee, (q31_t)0xe0e60685, (q31_t)0x7c116853, (q31_t)0xe0848b7f, (q31_t)0x7bf88830, (q31_t)0xe02323e5, (q31_t)0x7bdf5b94, (q31_t)0xdfc1cff3, + (q31_t)0x7bc5e290, (q31_t)0xdf608fe4, (q31_t)0x7bac1d31, (q31_t)0xdeff63f4, (q31_t)0x7b920b89, (q31_t)0xde9e4c60, (q31_t)0x7b77ada8, (q31_t)0xde3d4964, + (q31_t)0x7b5d039e, (q31_t)0xdddc5b3b, (q31_t)0x7b420d7a, (q31_t)0xdd7b8220, (q31_t)0x7b26cb4f, (q31_t)0xdd1abe51, (q31_t)0x7b0b3d2c, (q31_t)0xdcba1008, + (q31_t)0x7aef6323, (q31_t)0xdc597781, (q31_t)0x7ad33d45, (q31_t)0xdbf8f4f8, (q31_t)0x7ab6cba4, (q31_t)0xdb9888a8, (q31_t)0x7a9a0e50, (q31_t)0xdb3832cd, + (q31_t)0x7a7d055b, (q31_t)0xdad7f3a2, (q31_t)0x7a5fb0d8, (q31_t)0xda77cb63, (q31_t)0x7a4210d8, (q31_t)0xda17ba4a, (q31_t)0x7a24256f, (q31_t)0xd9b7c094, + (q31_t)0x7a05eead, (q31_t)0xd957de7a, (q31_t)0x79e76ca7, (q31_t)0xd8f81439, (q31_t)0x79c89f6e, (q31_t)0xd898620c, (q31_t)0x79a98715, (q31_t)0xd838c82d, + (q31_t)0x798a23b1, (q31_t)0xd7d946d8, (q31_t)0x796a7554, (q31_t)0xd779de47, (q31_t)0x794a7c12, (q31_t)0xd71a8eb5, (q31_t)0x792a37fe, (q31_t)0xd6bb585e, + (q31_t)0x7909a92d, (q31_t)0xd65c3b7b, (q31_t)0x78e8cfb2, (q31_t)0xd5fd3848, (q31_t)0x78c7aba2, (q31_t)0xd59e4eff, (q31_t)0x78a63d11, (q31_t)0xd53f7fda, + (q31_t)0x78848414, (q31_t)0xd4e0cb15, (q31_t)0x786280bf, (q31_t)0xd48230e9, (q31_t)0x78403329, (q31_t)0xd423b191, (q31_t)0x781d9b65, (q31_t)0xd3c54d47, + (q31_t)0x77fab989, (q31_t)0xd3670446, (q31_t)0x77d78daa, (q31_t)0xd308d6c7, (q31_t)0x77b417df, (q31_t)0xd2aac504, (q31_t)0x7790583e, (q31_t)0xd24ccf39, + (q31_t)0x776c4edb, (q31_t)0xd1eef59e, (q31_t)0x7747fbce, (q31_t)0xd191386e, (q31_t)0x77235f2d, (q31_t)0xd13397e2, (q31_t)0x76fe790e, (q31_t)0xd0d61434, + (q31_t)0x76d94989, (q31_t)0xd078ad9e, (q31_t)0x76b3d0b4, (q31_t)0xd01b6459, (q31_t)0x768e0ea6, (q31_t)0xcfbe389f, (q31_t)0x76680376, (q31_t)0xcf612aaa, + (q31_t)0x7641af3d, (q31_t)0xcf043ab3, (q31_t)0x761b1211, (q31_t)0xcea768f2, (q31_t)0x75f42c0b, (q31_t)0xce4ab5a2, (q31_t)0x75ccfd42, (q31_t)0xcdee20fc, + (q31_t)0x75a585cf, (q31_t)0xcd91ab39, (q31_t)0x757dc5ca, (q31_t)0xcd355491, (q31_t)0x7555bd4c, (q31_t)0xccd91d3d, (q31_t)0x752d6c6c, (q31_t)0xcc7d0578, + (q31_t)0x7504d345, (q31_t)0xcc210d79, (q31_t)0x74dbf1ef, (q31_t)0xcbc53579, (q31_t)0x74b2c884, (q31_t)0xcb697db0, (q31_t)0x7489571c, (q31_t)0xcb0de658, + (q31_t)0x745f9dd1, (q31_t)0xcab26fa9, (q31_t)0x74359cbd, (q31_t)0xca5719db, (q31_t)0x740b53fb, (q31_t)0xc9fbe527, (q31_t)0x73e0c3a3, (q31_t)0xc9a0d1c5, + (q31_t)0x73b5ebd1, (q31_t)0xc945dfec, (q31_t)0x738acc9e, (q31_t)0xc8eb0fd6, (q31_t)0x735f6626, (q31_t)0xc89061ba, (q31_t)0x7333b883, (q31_t)0xc835d5d0, + (q31_t)0x7307c3d0, (q31_t)0xc7db6c50, (q31_t)0x72db8828, (q31_t)0xc7812572, (q31_t)0x72af05a7, (q31_t)0xc727016d, (q31_t)0x72823c67, (q31_t)0xc6cd0079, + (q31_t)0x72552c85, (q31_t)0xc67322ce, (q31_t)0x7227d61c, (q31_t)0xc61968a2, (q31_t)0x71fa3949, (q31_t)0xc5bfd22e, (q31_t)0x71cc5626, (q31_t)0xc5665fa9, + (q31_t)0x719e2cd2, (q31_t)0xc50d1149, (q31_t)0x716fbd68, (q31_t)0xc4b3e746, (q31_t)0x71410805, (q31_t)0xc45ae1d7, (q31_t)0x71120cc5, (q31_t)0xc4020133, + (q31_t)0x70e2cbc6, (q31_t)0xc3a94590, (q31_t)0x70b34525, (q31_t)0xc350af26, (q31_t)0x708378ff, (q31_t)0xc2f83e2a, (q31_t)0x70536771, (q31_t)0xc29ff2d4, + (q31_t)0x7023109a, (q31_t)0xc247cd5a, (q31_t)0x6ff27497, (q31_t)0xc1efcdf3, (q31_t)0x6fc19385, (q31_t)0xc197f4d4, (q31_t)0x6f906d84, (q31_t)0xc1404233, + (q31_t)0x6f5f02b2, (q31_t)0xc0e8b648, (q31_t)0x6f2d532c, (q31_t)0xc0915148, (q31_t)0x6efb5f12, (q31_t)0xc03a1368, (q31_t)0x6ec92683, (q31_t)0xbfe2fcdf, + (q31_t)0x6e96a99d, (q31_t)0xbf8c0de3, (q31_t)0x6e63e87f, (q31_t)0xbf3546a8, (q31_t)0x6e30e34a, (q31_t)0xbedea765, (q31_t)0x6dfd9a1c, (q31_t)0xbe88304f, + (q31_t)0x6dca0d14, (q31_t)0xbe31e19b, (q31_t)0x6d963c54, (q31_t)0xbddbbb7f, (q31_t)0x6d6227fa, (q31_t)0xbd85be30, (q31_t)0x6d2dd027, (q31_t)0xbd2fe9e2, + (q31_t)0x6cf934fc, (q31_t)0xbcda3ecb, (q31_t)0x6cc45698, (q31_t)0xbc84bd1f, (q31_t)0x6c8f351c, (q31_t)0xbc2f6513, (q31_t)0x6c59d0a9, (q31_t)0xbbda36dd, + (q31_t)0x6c242960, (q31_t)0xbb8532b0, (q31_t)0x6bee3f62, (q31_t)0xbb3058c0, (q31_t)0x6bb812d1, (q31_t)0xbadba943, (q31_t)0x6b81a3cd, (q31_t)0xba87246d, + (q31_t)0x6b4af279, (q31_t)0xba32ca71, (q31_t)0x6b13fef5, (q31_t)0xb9de9b83, (q31_t)0x6adcc964, (q31_t)0xb98a97d8, (q31_t)0x6aa551e9, (q31_t)0xb936bfa4, + (q31_t)0x6a6d98a4, (q31_t)0xb8e31319, (q31_t)0x6a359db9, (q31_t)0xb88f926d, (q31_t)0x69fd614a, (q31_t)0xb83c3dd1, (q31_t)0x69c4e37a, (q31_t)0xb7e9157a, + (q31_t)0x698c246c, (q31_t)0xb796199b, (q31_t)0x69532442, (q31_t)0xb7434a67, (q31_t)0x6919e320, (q31_t)0xb6f0a812, (q31_t)0x68e06129, (q31_t)0xb69e32cd, + (q31_t)0x68a69e81, (q31_t)0xb64beacd, (q31_t)0x686c9b4b, (q31_t)0xb5f9d043, (q31_t)0x683257ab, (q31_t)0xb5a7e362, (q31_t)0x67f7d3c5, (q31_t)0xb556245e, + (q31_t)0x67bd0fbd, (q31_t)0xb5049368, (q31_t)0x67820bb7, (q31_t)0xb4b330b3, (q31_t)0x6746c7d8, (q31_t)0xb461fc70, (q31_t)0x670b4444, (q31_t)0xb410f6d3, + (q31_t)0x66cf8120, (q31_t)0xb3c0200c, (q31_t)0x66937e91, (q31_t)0xb36f784f, (q31_t)0x66573cbb, (q31_t)0xb31effcc, (q31_t)0x661abbc5, (q31_t)0xb2ceb6b5, + (q31_t)0x65ddfbd3, (q31_t)0xb27e9d3c, (q31_t)0x65a0fd0b, (q31_t)0xb22eb392, (q31_t)0x6563bf92, (q31_t)0xb1def9e9, (q31_t)0x6526438f, (q31_t)0xb18f7071, + (q31_t)0x64e88926, (q31_t)0xb140175b, (q31_t)0x64aa907f, (q31_t)0xb0f0eeda, (q31_t)0x646c59bf, (q31_t)0xb0a1f71d, (q31_t)0x642de50d, (q31_t)0xb0533055, + (q31_t)0x63ef3290, (q31_t)0xb0049ab3, (q31_t)0x63b0426d, (q31_t)0xafb63667, (q31_t)0x637114cc, (q31_t)0xaf6803a2, (q31_t)0x6331a9d4, (q31_t)0xaf1a0293, + (q31_t)0x62f201ac, (q31_t)0xaecc336c, (q31_t)0x62b21c7b, (q31_t)0xae7e965b, (q31_t)0x6271fa69, (q31_t)0xae312b92, (q31_t)0x62319b9d, (q31_t)0xade3f33e, + (q31_t)0x61f1003f, (q31_t)0xad96ed92, (q31_t)0x61b02876, (q31_t)0xad4a1aba, (q31_t)0x616f146c, (q31_t)0xacfd7ae8, (q31_t)0x612dc447, (q31_t)0xacb10e4b, + (q31_t)0x60ec3830, (q31_t)0xac64d510, (q31_t)0x60aa7050, (q31_t)0xac18cf69, (q31_t)0x60686ccf, (q31_t)0xabccfd83, (q31_t)0x60262dd6, (q31_t)0xab815f8d, + (q31_t)0x5fe3b38d, (q31_t)0xab35f5b5, (q31_t)0x5fa0fe1f, (q31_t)0xaaeac02c, (q31_t)0x5f5e0db3, (q31_t)0xaa9fbf1e, (q31_t)0x5f1ae274, (q31_t)0xaa54f2ba, + (q31_t)0x5ed77c8a, (q31_t)0xaa0a5b2e, (q31_t)0x5e93dc1f, (q31_t)0xa9bff8a8, (q31_t)0x5e50015d, (q31_t)0xa975cb57, (q31_t)0x5e0bec6e, (q31_t)0xa92bd367, + (q31_t)0x5dc79d7c, (q31_t)0xa8e21106, (q31_t)0x5d8314b1, (q31_t)0xa8988463, (q31_t)0x5d3e5237, (q31_t)0xa84f2daa, (q31_t)0x5cf95638, (q31_t)0xa8060d08, + (q31_t)0x5cb420e0, (q31_t)0xa7bd22ac, (q31_t)0x5c6eb258, (q31_t)0xa7746ec0, (q31_t)0x5c290acc, (q31_t)0xa72bf174, (q31_t)0x5be32a67, (q31_t)0xa6e3aaf2, + (q31_t)0x5b9d1154, (q31_t)0xa69b9b68, (q31_t)0x5b56bfbd, (q31_t)0xa653c303, (q31_t)0x5b1035cf, (q31_t)0xa60c21ee, (q31_t)0x5ac973b5, (q31_t)0xa5c4b855, + (q31_t)0x5a82799a, (q31_t)0xa57d8666, (q31_t)0x5a3b47ab, (q31_t)0xa5368c4b, (q31_t)0x59f3de12, (q31_t)0xa4efca31, (q31_t)0x59ac3cfd, (q31_t)0xa4a94043, + (q31_t)0x59646498, (q31_t)0xa462eeac, (q31_t)0x591c550e, (q31_t)0xa41cd599, (q31_t)0x58d40e8c, (q31_t)0xa3d6f534, (q31_t)0x588b9140, (q31_t)0xa3914da8, + (q31_t)0x5842dd54, (q31_t)0xa34bdf20, (q31_t)0x57f9f2f8, (q31_t)0xa306a9c8, (q31_t)0x57b0d256, (q31_t)0xa2c1adc9, (q31_t)0x57677b9d, (q31_t)0xa27ceb4f, + (q31_t)0x571deefa, (q31_t)0xa2386284, (q31_t)0x56d42c99, (q31_t)0xa1f41392, (q31_t)0x568a34a9, (q31_t)0xa1affea3, (q31_t)0x56400758, (q31_t)0xa16c23e1, + (q31_t)0x55f5a4d2, (q31_t)0xa1288376, (q31_t)0x55ab0d46, (q31_t)0xa0e51d8c, (q31_t)0x556040e2, (q31_t)0xa0a1f24d, (q31_t)0x55153fd4, (q31_t)0xa05f01e1, + (q31_t)0x54ca0a4b, (q31_t)0xa01c4c73, (q31_t)0x547ea073, (q31_t)0x9fd9d22a, (q31_t)0x5433027d, (q31_t)0x9f979331, (q31_t)0x53e73097, (q31_t)0x9f558fb0, + (q31_t)0x539b2af0, (q31_t)0x9f13c7d0, (q31_t)0x534ef1b5, (q31_t)0x9ed23bb9, (q31_t)0x53028518, (q31_t)0x9e90eb94, (q31_t)0x52b5e546, (q31_t)0x9e4fd78a, + (q31_t)0x5269126e, (q31_t)0x9e0effc1, (q31_t)0x521c0cc2, (q31_t)0x9dce6463, (q31_t)0x51ced46e, (q31_t)0x9d8e0597, (q31_t)0x518169a5, (q31_t)0x9d4de385, + (q31_t)0x5133cc94, (q31_t)0x9d0dfe54, (q31_t)0x50e5fd6d, (q31_t)0x9cce562c, (q31_t)0x5097fc5e, (q31_t)0x9c8eeb34, (q31_t)0x5049c999, (q31_t)0x9c4fbd93, + (q31_t)0x4ffb654d, (q31_t)0x9c10cd70, (q31_t)0x4faccfab, (q31_t)0x9bd21af3, (q31_t)0x4f5e08e3, (q31_t)0x9b93a641, (q31_t)0x4f0f1126, (q31_t)0x9b556f81, + (q31_t)0x4ebfe8a5, (q31_t)0x9b1776da, (q31_t)0x4e708f8f, (q31_t)0x9ad9bc71, (q31_t)0x4e210617, (q31_t)0x9a9c406e, (q31_t)0x4dd14c6e, (q31_t)0x9a5f02f5, + (q31_t)0x4d8162c4, (q31_t)0x9a22042d, (q31_t)0x4d31494b, (q31_t)0x99e5443b, (q31_t)0x4ce10034, (q31_t)0x99a8c345, (q31_t)0x4c9087b1, (q31_t)0x996c816f, + (q31_t)0x4c3fdff4, (q31_t)0x99307ee0, (q31_t)0x4bef092d, (q31_t)0x98f4bbbc, (q31_t)0x4b9e0390, (q31_t)0x98b93828, (q31_t)0x4b4ccf4d, (q31_t)0x987df449, + (q31_t)0x4afb6c98, (q31_t)0x9842f043, (q31_t)0x4aa9dba2, (q31_t)0x98082c3b, (q31_t)0x4a581c9e, (q31_t)0x97cda855, (q31_t)0x4a062fbd, (q31_t)0x979364b5, + (q31_t)0x49b41533, (q31_t)0x9759617f, (q31_t)0x4961cd33, (q31_t)0x971f9ed7, (q31_t)0x490f57ee, (q31_t)0x96e61ce0, (q31_t)0x48bcb599, (q31_t)0x96acdbbe, + (q31_t)0x4869e665, (q31_t)0x9673db94, (q31_t)0x4816ea86, (q31_t)0x963b1c86, (q31_t)0x47c3c22f, (q31_t)0x96029eb6, (q31_t)0x47706d93, (q31_t)0x95ca6247, + (q31_t)0x471cece7, (q31_t)0x9592675c, (q31_t)0x46c9405c, (q31_t)0x955aae17, (q31_t)0x46756828, (q31_t)0x9523369c, (q31_t)0x4621647d, (q31_t)0x94ec010b, + (q31_t)0x45cd358f, (q31_t)0x94b50d87, (q31_t)0x4578db93, (q31_t)0x947e5c33, (q31_t)0x452456bd, (q31_t)0x9447ed2f, (q31_t)0x44cfa740, (q31_t)0x9411c09e, + (q31_t)0x447acd50, (q31_t)0x93dbd6a0, (q31_t)0x4425c923, (q31_t)0x93a62f57, (q31_t)0x43d09aed, (q31_t)0x9370cae4, (q31_t)0x437b42e1, (q31_t)0x933ba968, + (q31_t)0x4325c135, (q31_t)0x9306cb04, (q31_t)0x42d0161e, (q31_t)0x92d22fd9, (q31_t)0x427a41d0, (q31_t)0x929dd806, (q31_t)0x42244481, (q31_t)0x9269c3ac, + (q31_t)0x41ce1e65, (q31_t)0x9235f2ec, (q31_t)0x4177cfb1, (q31_t)0x920265e4, (q31_t)0x4121589b, (q31_t)0x91cf1cb6, (q31_t)0x40cab958, (q31_t)0x919c1781, + (q31_t)0x4073f21d, (q31_t)0x91695663, (q31_t)0x401d0321, (q31_t)0x9136d97d, (q31_t)0x3fc5ec98, (q31_t)0x9104a0ee, (q31_t)0x3f6eaeb8, (q31_t)0x90d2acd4, + (q31_t)0x3f1749b8, (q31_t)0x90a0fd4e, (q31_t)0x3ebfbdcd, (q31_t)0x906f927c, (q31_t)0x3e680b2c, (q31_t)0x903e6c7b, (q31_t)0x3e10320d, (q31_t)0x900d8b69, + (q31_t)0x3db832a6, (q31_t)0x8fdcef66, (q31_t)0x3d600d2c, (q31_t)0x8fac988f, (q31_t)0x3d07c1d6, (q31_t)0x8f7c8701, (q31_t)0x3caf50da, (q31_t)0x8f4cbadb, + (q31_t)0x3c56ba70, (q31_t)0x8f1d343a, (q31_t)0x3bfdfecd, (q31_t)0x8eedf33b, (q31_t)0x3ba51e29, (q31_t)0x8ebef7fb, (q31_t)0x3b4c18ba, (q31_t)0x8e904298, + (q31_t)0x3af2eeb7, (q31_t)0x8e61d32e, (q31_t)0x3a99a057, (q31_t)0x8e33a9da, (q31_t)0x3a402dd2, (q31_t)0x8e05c6b7, (q31_t)0x39e6975e, (q31_t)0x8dd829e4, + (q31_t)0x398cdd32, (q31_t)0x8daad37b, (q31_t)0x3932ff87, (q31_t)0x8d7dc399, (q31_t)0x38d8fe93, (q31_t)0x8d50fa59, (q31_t)0x387eda8e, (q31_t)0x8d2477d8, + (q31_t)0x382493b0, (q31_t)0x8cf83c30, (q31_t)0x37ca2a30, (q31_t)0x8ccc477d, (q31_t)0x376f9e46, (q31_t)0x8ca099da, (q31_t)0x3714f02a, (q31_t)0x8c753362, + (q31_t)0x36ba2014, (q31_t)0x8c4a142f, (q31_t)0x365f2e3b, (q31_t)0x8c1f3c5d, (q31_t)0x36041ad9, (q31_t)0x8bf4ac05, (q31_t)0x35a8e625, (q31_t)0x8bca6343, + (q31_t)0x354d9057, (q31_t)0x8ba0622f, (q31_t)0x34f219a8, (q31_t)0x8b76a8e4, (q31_t)0x34968250, (q31_t)0x8b4d377c, (q31_t)0x343aca87, (q31_t)0x8b240e11, + (q31_t)0x33def287, (q31_t)0x8afb2cbb, (q31_t)0x3382fa88, (q31_t)0x8ad29394, (q31_t)0x3326e2c3, (q31_t)0x8aaa42b4, (q31_t)0x32caab6f, (q31_t)0x8a823a36, + (q31_t)0x326e54c7, (q31_t)0x8a5a7a31, (q31_t)0x3211df04, (q31_t)0x8a3302be, (q31_t)0x31b54a5e, (q31_t)0x8a0bd3f5, (q31_t)0x3158970e, (q31_t)0x89e4edef, + (q31_t)0x30fbc54d, (q31_t)0x89be50c3, (q31_t)0x309ed556, (q31_t)0x8997fc8a, (q31_t)0x3041c761, (q31_t)0x8971f15a, (q31_t)0x2fe49ba7, (q31_t)0x894c2f4c, + (q31_t)0x2f875262, (q31_t)0x8926b677, (q31_t)0x2f29ebcc, (q31_t)0x890186f2, (q31_t)0x2ecc681e, (q31_t)0x88dca0d3, (q31_t)0x2e6ec792, (q31_t)0x88b80432, + (q31_t)0x2e110a62, (q31_t)0x8893b125, (q31_t)0x2db330c7, (q31_t)0x886fa7c2, (q31_t)0x2d553afc, (q31_t)0x884be821, (q31_t)0x2cf72939, (q31_t)0x88287256, + (q31_t)0x2c98fbba, (q31_t)0x88054677, (q31_t)0x2c3ab2b9, (q31_t)0x87e2649b, (q31_t)0x2bdc4e6f, (q31_t)0x87bfccd7, (q31_t)0x2b7dcf17, (q31_t)0x879d7f41, + (q31_t)0x2b1f34eb, (q31_t)0x877b7bec, (q31_t)0x2ac08026, (q31_t)0x8759c2ef, (q31_t)0x2a61b101, (q31_t)0x8738545e, (q31_t)0x2a02c7b8, (q31_t)0x8717304e, + (q31_t)0x29a3c485, (q31_t)0x86f656d3, (q31_t)0x2944a7a2, (q31_t)0x86d5c802, (q31_t)0x28e5714b, (q31_t)0x86b583ee, (q31_t)0x288621b9, (q31_t)0x86958aac, + (q31_t)0x2826b928, (q31_t)0x8675dc4f, (q31_t)0x27c737d3, (q31_t)0x865678eb, (q31_t)0x27679df4, (q31_t)0x86376092, (q31_t)0x2707ebc7, (q31_t)0x86189359, + (q31_t)0x26a82186, (q31_t)0x85fa1153, (q31_t)0x26483f6c, (q31_t)0x85dbda91, (q31_t)0x25e845b6, (q31_t)0x85bdef28, (q31_t)0x2588349d, (q31_t)0x85a04f28, + (q31_t)0x25280c5e, (q31_t)0x8582faa5, (q31_t)0x24c7cd33, (q31_t)0x8565f1b0, (q31_t)0x24677758, (q31_t)0x8549345c, (q31_t)0x24070b08, (q31_t)0x852cc2bb, + (q31_t)0x23a6887f, (q31_t)0x85109cdd, (q31_t)0x2345eff8, (q31_t)0x84f4c2d4, (q31_t)0x22e541af, (q31_t)0x84d934b1, (q31_t)0x22847de0, (q31_t)0x84bdf286, + (q31_t)0x2223a4c5, (q31_t)0x84a2fc62, (q31_t)0x21c2b69c, (q31_t)0x84885258, (q31_t)0x2161b3a0, (q31_t)0x846df477, (q31_t)0x21009c0c, (q31_t)0x8453e2cf, + (q31_t)0x209f701c, (q31_t)0x843a1d70, (q31_t)0x203e300d, (q31_t)0x8420a46c, (q31_t)0x1fdcdc1b, (q31_t)0x840777d0, (q31_t)0x1f7b7481, (q31_t)0x83ee97ad, + (q31_t)0x1f19f97b, (q31_t)0x83d60412, (q31_t)0x1eb86b46, (q31_t)0x83bdbd0e, (q31_t)0x1e56ca1e, (q31_t)0x83a5c2b0, (q31_t)0x1df5163f, (q31_t)0x838e1507, + (q31_t)0x1d934fe5, (q31_t)0x8376b422, (q31_t)0x1d31774d, (q31_t)0x835fa00f, (q31_t)0x1ccf8cb3, (q31_t)0x8348d8dc, (q31_t)0x1c6d9053, (q31_t)0x83325e97, + (q31_t)0x1c0b826a, (q31_t)0x831c314e, (q31_t)0x1ba96335, (q31_t)0x83065110, (q31_t)0x1b4732ef, (q31_t)0x82f0bde8, (q31_t)0x1ae4f1d6, (q31_t)0x82db77e5, + (q31_t)0x1a82a026, (q31_t)0x82c67f14, (q31_t)0x1a203e1b, (q31_t)0x82b1d381, (q31_t)0x19bdcbf3, (q31_t)0x829d753a, (q31_t)0x195b49ea, (q31_t)0x8289644b, + (q31_t)0x18f8b83c, (q31_t)0x8275a0c0, (q31_t)0x18961728, (q31_t)0x82622aa6, (q31_t)0x183366e9, (q31_t)0x824f0208, (q31_t)0x17d0a7bc, (q31_t)0x823c26f3, + (q31_t)0x176dd9de, (q31_t)0x82299971, (q31_t)0x170afd8d, (q31_t)0x82175990, (q31_t)0x16a81305, (q31_t)0x82056758, (q31_t)0x16451a83, (q31_t)0x81f3c2d7, + (q31_t)0x15e21445, (q31_t)0x81e26c16, (q31_t)0x157f0086, (q31_t)0x81d16321, (q31_t)0x151bdf86, (q31_t)0x81c0a801, (q31_t)0x14b8b17f, (q31_t)0x81b03ac2, + (q31_t)0x145576b1, (q31_t)0x81a01b6d, (q31_t)0x13f22f58, (q31_t)0x81904a0c, (q31_t)0x138edbb1, (q31_t)0x8180c6a9, (q31_t)0x132b7bf9, (q31_t)0x8171914e, + (q31_t)0x12c8106f, (q31_t)0x8162aa04, (q31_t)0x1264994e, (q31_t)0x815410d4, (q31_t)0x120116d5, (q31_t)0x8145c5c7, (q31_t)0x119d8941, (q31_t)0x8137c8e6, + (q31_t)0x1139f0cf, (q31_t)0x812a1a3a, (q31_t)0x10d64dbd, (q31_t)0x811cb9ca, (q31_t)0x1072a048, (q31_t)0x810fa7a0, (q31_t)0x100ee8ad, (q31_t)0x8102e3c4, + (q31_t)0xfab272b, (q31_t)0x80f66e3c, (q31_t)0xf475bff, (q31_t)0x80ea4712, (q31_t)0xee38766, (q31_t)0x80de6e4c, (q31_t)0xe7fa99e, (q31_t)0x80d2e3f2, + (q31_t)0xe1bc2e4, (q31_t)0x80c7a80a, (q31_t)0xdb7d376, (q31_t)0x80bcba9d, (q31_t)0xd53db92, (q31_t)0x80b21baf, (q31_t)0xcefdb76, (q31_t)0x80a7cb49, + (q31_t)0xc8bd35e, (q31_t)0x809dc971, (q31_t)0xc27c389, (q31_t)0x8094162c, (q31_t)0xbc3ac35, (q31_t)0x808ab180, (q31_t)0xb5f8d9f, (q31_t)0x80819b74, + (q31_t)0xafb6805, (q31_t)0x8078d40d, (q31_t)0xa973ba5, (q31_t)0x80705b50, (q31_t)0xa3308bd, (q31_t)0x80683143, (q31_t)0x9cecf89, (q31_t)0x806055eb, + (q31_t)0x96a9049, (q31_t)0x8058c94c, (q31_t)0x9064b3a, (q31_t)0x80518b6b, (q31_t)0x8a2009a, (q31_t)0x804a9c4d, (q31_t)0x83db0a7, (q31_t)0x8043fbf6, + (q31_t)0x7d95b9e, (q31_t)0x803daa6a, (q31_t)0x77501be, (q31_t)0x8037a7ac, (q31_t)0x710a345, (q31_t)0x8031f3c2, (q31_t)0x6ac406f, (q31_t)0x802c8ead, + (q31_t)0x647d97c, (q31_t)0x80277872, (q31_t)0x5e36ea9, (q31_t)0x8022b114, (q31_t)0x57f0035, (q31_t)0x801e3895, (q31_t)0x51a8e5c, (q31_t)0x801a0ef8, + (q31_t)0x4b6195d, (q31_t)0x80163440, (q31_t)0x451a177, (q31_t)0x8012a86f, (q31_t)0x3ed26e6, (q31_t)0x800f6b88, (q31_t)0x388a9ea, (q31_t)0x800c7d8c, + (q31_t)0x3242abf, (q31_t)0x8009de7e, (q31_t)0x2bfa9a4, (q31_t)0x80078e5e, (q31_t)0x25b26d7, (q31_t)0x80058d2f, (q31_t)0x1f6a297, (q31_t)0x8003daf1, + (q31_t)0x1921d20, (q31_t)0x800277a6, (q31_t)0x12d96b1, (q31_t)0x8001634e, (q31_t)0xc90f88, (q31_t)0x80009dea, (q31_t)0x6487e3, (q31_t)0x8000277a +}; + +static const q31_t WeightsQ31_2048[4096] = { + (q31_t)0x7fffffff, (q31_t)0x00000000, (q31_t)0x7ffffd88, (q31_t)0xffe6de05, (q31_t)0x7ffff621, (q31_t)0xffcdbc0b, (q31_t)0x7fffe9cb, (q31_t)0xffb49a12, + (q31_t)0x7fffd886, (q31_t)0xff9b781d, (q31_t)0x7fffc251, (q31_t)0xff82562c, (q31_t)0x7fffa72c, (q31_t)0xff69343f, (q31_t)0x7fff8719, (q31_t)0xff501258, + (q31_t)0x7fff6216, (q31_t)0xff36f078, (q31_t)0x7fff3824, (q31_t)0xff1dcea0, (q31_t)0x7fff0943, (q31_t)0xff04acd0, (q31_t)0x7ffed572, (q31_t)0xfeeb8b0a, + (q31_t)0x7ffe9cb2, (q31_t)0xfed2694f, (q31_t)0x7ffe5f03, (q31_t)0xfeb947a0, (q31_t)0x7ffe1c65, (q31_t)0xfea025fd, (q31_t)0x7ffdd4d7, (q31_t)0xfe870467, + (q31_t)0x7ffd885a, (q31_t)0xfe6de2e0, (q31_t)0x7ffd36ee, (q31_t)0xfe54c169, (q31_t)0x7ffce093, (q31_t)0xfe3ba002, (q31_t)0x7ffc8549, (q31_t)0xfe227eac, + (q31_t)0x7ffc250f, (q31_t)0xfe095d69, (q31_t)0x7ffbbfe6, (q31_t)0xfdf03c3a, (q31_t)0x7ffb55ce, (q31_t)0xfdd71b1e, (q31_t)0x7ffae6c7, (q31_t)0xfdbdfa18, + (q31_t)0x7ffa72d1, (q31_t)0xfda4d929, (q31_t)0x7ff9f9ec, (q31_t)0xfd8bb850, (q31_t)0x7ff97c18, (q31_t)0xfd729790, (q31_t)0x7ff8f954, (q31_t)0xfd5976e9, + (q31_t)0x7ff871a2, (q31_t)0xfd40565c, (q31_t)0x7ff7e500, (q31_t)0xfd2735ea, (q31_t)0x7ff75370, (q31_t)0xfd0e1594, (q31_t)0x7ff6bcf0, (q31_t)0xfcf4f55c, + (q31_t)0x7ff62182, (q31_t)0xfcdbd541, (q31_t)0x7ff58125, (q31_t)0xfcc2b545, (q31_t)0x7ff4dbd9, (q31_t)0xfca9956a, (q31_t)0x7ff4319d, (q31_t)0xfc9075af, + (q31_t)0x7ff38274, (q31_t)0xfc775616, (q31_t)0x7ff2ce5b, (q31_t)0xfc5e36a0, (q31_t)0x7ff21553, (q31_t)0xfc45174e, (q31_t)0x7ff1575d, (q31_t)0xfc2bf821, + (q31_t)0x7ff09478, (q31_t)0xfc12d91a, (q31_t)0x7fefcca4, (q31_t)0xfbf9ba39, (q31_t)0x7feeffe1, (q31_t)0xfbe09b80, (q31_t)0x7fee2e30, (q31_t)0xfbc77cf0, + (q31_t)0x7fed5791, (q31_t)0xfbae5e89, (q31_t)0x7fec7c02, (q31_t)0xfb95404d, (q31_t)0x7feb9b85, (q31_t)0xfb7c223d, (q31_t)0x7feab61a, (q31_t)0xfb630459, + (q31_t)0x7fe9cbc0, (q31_t)0xfb49e6a3, (q31_t)0x7fe8dc78, (q31_t)0xfb30c91b, (q31_t)0x7fe7e841, (q31_t)0xfb17abc2, (q31_t)0x7fe6ef1c, (q31_t)0xfafe8e9b, + (q31_t)0x7fe5f108, (q31_t)0xfae571a4, (q31_t)0x7fe4ee06, (q31_t)0xfacc54e0, (q31_t)0x7fe3e616, (q31_t)0xfab3384f, (q31_t)0x7fe2d938, (q31_t)0xfa9a1bf3, + (q31_t)0x7fe1c76b, (q31_t)0xfa80ffcb, (q31_t)0x7fe0b0b1, (q31_t)0xfa67e3da, (q31_t)0x7fdf9508, (q31_t)0xfa4ec821, (q31_t)0x7fde7471, (q31_t)0xfa35ac9f, + (q31_t)0x7fdd4eec, (q31_t)0xfa1c9157, (q31_t)0x7fdc247a, (q31_t)0xfa037648, (q31_t)0x7fdaf519, (q31_t)0xf9ea5b75, (q31_t)0x7fd9c0ca, (q31_t)0xf9d140de, + (q31_t)0x7fd8878e, (q31_t)0xf9b82684, (q31_t)0x7fd74964, (q31_t)0xf99f0c68, (q31_t)0x7fd6064c, (q31_t)0xf985f28a, (q31_t)0x7fd4be46, (q31_t)0xf96cd8ed, + (q31_t)0x7fd37153, (q31_t)0xf953bf91, (q31_t)0x7fd21f72, (q31_t)0xf93aa676, (q31_t)0x7fd0c8a3, (q31_t)0xf9218d9e, (q31_t)0x7fcf6ce8, (q31_t)0xf908750a, + (q31_t)0x7fce0c3e, (q31_t)0xf8ef5cbb, (q31_t)0x7fcca6a7, (q31_t)0xf8d644b2, (q31_t)0x7fcb3c23, (q31_t)0xf8bd2cef, (q31_t)0x7fc9ccb2, (q31_t)0xf8a41574, + (q31_t)0x7fc85854, (q31_t)0xf88afe42, (q31_t)0x7fc6df08, (q31_t)0xf871e759, (q31_t)0x7fc560cf, (q31_t)0xf858d0bb, (q31_t)0x7fc3dda9, (q31_t)0xf83fba68, + (q31_t)0x7fc25596, (q31_t)0xf826a462, (q31_t)0x7fc0c896, (q31_t)0xf80d8ea9, (q31_t)0x7fbf36aa, (q31_t)0xf7f4793e, (q31_t)0x7fbd9fd0, (q31_t)0xf7db6423, + (q31_t)0x7fbc040a, (q31_t)0xf7c24f59, (q31_t)0x7fba6357, (q31_t)0xf7a93ae0, (q31_t)0x7fb8bdb8, (q31_t)0xf79026b9, (q31_t)0x7fb7132b, (q31_t)0xf77712e5, + (q31_t)0x7fb563b3, (q31_t)0xf75dff66, (q31_t)0x7fb3af4e, (q31_t)0xf744ec3b, (q31_t)0x7fb1f5fc, (q31_t)0xf72bd967, (q31_t)0x7fb037bf, (q31_t)0xf712c6ea, + (q31_t)0x7fae7495, (q31_t)0xf6f9b4c6, (q31_t)0x7facac7f, (q31_t)0xf6e0a2fa, (q31_t)0x7faadf7c, (q31_t)0xf6c79188, (q31_t)0x7fa90d8e, (q31_t)0xf6ae8071, + (q31_t)0x7fa736b4, (q31_t)0xf6956fb7, (q31_t)0x7fa55aee, (q31_t)0xf67c5f59, (q31_t)0x7fa37a3c, (q31_t)0xf6634f59, (q31_t)0x7fa1949e, (q31_t)0xf64a3fb8, + (q31_t)0x7f9faa15, (q31_t)0xf6313077, (q31_t)0x7f9dbaa0, (q31_t)0xf6182196, (q31_t)0x7f9bc640, (q31_t)0xf5ff1318, (q31_t)0x7f99ccf4, (q31_t)0xf5e604fc, + (q31_t)0x7f97cebd, (q31_t)0xf5ccf743, (q31_t)0x7f95cb9a, (q31_t)0xf5b3e9f0, (q31_t)0x7f93c38c, (q31_t)0xf59add02, (q31_t)0x7f91b694, (q31_t)0xf581d07b, + (q31_t)0x7f8fa4b0, (q31_t)0xf568c45b, (q31_t)0x7f8d8de1, (q31_t)0xf54fb8a4, (q31_t)0x7f8b7227, (q31_t)0xf536ad56, (q31_t)0x7f895182, (q31_t)0xf51da273, + (q31_t)0x7f872bf3, (q31_t)0xf50497fb, (q31_t)0x7f850179, (q31_t)0xf4eb8def, (q31_t)0x7f82d214, (q31_t)0xf4d28451, (q31_t)0x7f809dc5, (q31_t)0xf4b97b21, + (q31_t)0x7f7e648c, (q31_t)0xf4a07261, (q31_t)0x7f7c2668, (q31_t)0xf4876a10, (q31_t)0x7f79e35a, (q31_t)0xf46e6231, (q31_t)0x7f779b62, (q31_t)0xf4555ac5, + (q31_t)0x7f754e80, (q31_t)0xf43c53cb, (q31_t)0x7f72fcb4, (q31_t)0xf4234d45, (q31_t)0x7f70a5fe, (q31_t)0xf40a4735, (q31_t)0x7f6e4a5e, (q31_t)0xf3f1419a, + (q31_t)0x7f6be9d4, (q31_t)0xf3d83c77, (q31_t)0x7f698461, (q31_t)0xf3bf37cb, (q31_t)0x7f671a05, (q31_t)0xf3a63398, (q31_t)0x7f64aabf, (q31_t)0xf38d2fe0, + (q31_t)0x7f62368f, (q31_t)0xf3742ca2, (q31_t)0x7f5fbd77, (q31_t)0xf35b29e0, (q31_t)0x7f5d3f75, (q31_t)0xf342279b, (q31_t)0x7f5abc8a, (q31_t)0xf32925d3, + (q31_t)0x7f5834b7, (q31_t)0xf310248a, (q31_t)0x7f55a7fa, (q31_t)0xf2f723c1, (q31_t)0x7f531655, (q31_t)0xf2de2379, (q31_t)0x7f507fc7, (q31_t)0xf2c523b2, + (q31_t)0x7f4de451, (q31_t)0xf2ac246e, (q31_t)0x7f4b43f2, (q31_t)0xf29325ad, (q31_t)0x7f489eaa, (q31_t)0xf27a2771, (q31_t)0x7f45f47b, (q31_t)0xf26129ba, + (q31_t)0x7f434563, (q31_t)0xf2482c8a, (q31_t)0x7f409164, (q31_t)0xf22f2fe1, (q31_t)0x7f3dd87c, (q31_t)0xf21633c0, (q31_t)0x7f3b1aad, (q31_t)0xf1fd3829, + (q31_t)0x7f3857f6, (q31_t)0xf1e43d1c, (q31_t)0x7f359057, (q31_t)0xf1cb429a, (q31_t)0x7f32c3d1, (q31_t)0xf1b248a5, (q31_t)0x7f2ff263, (q31_t)0xf1994f3d, + (q31_t)0x7f2d1c0e, (q31_t)0xf1805662, (q31_t)0x7f2a40d2, (q31_t)0xf1675e17, (q31_t)0x7f2760af, (q31_t)0xf14e665c, (q31_t)0x7f247ba5, (q31_t)0xf1356f32, + (q31_t)0x7f2191b4, (q31_t)0xf11c789a, (q31_t)0x7f1ea2dc, (q31_t)0xf1038295, (q31_t)0x7f1baf1e, (q31_t)0xf0ea8d24, (q31_t)0x7f18b679, (q31_t)0xf0d19848, + (q31_t)0x7f15b8ee, (q31_t)0xf0b8a401, (q31_t)0x7f12b67c, (q31_t)0xf09fb051, (q31_t)0x7f0faf25, (q31_t)0xf086bd39, (q31_t)0x7f0ca2e7, (q31_t)0xf06dcaba, + (q31_t)0x7f0991c4, (q31_t)0xf054d8d5, (q31_t)0x7f067bba, (q31_t)0xf03be78a, (q31_t)0x7f0360cb, (q31_t)0xf022f6da, (q31_t)0x7f0040f6, (q31_t)0xf00a06c8, + (q31_t)0x7efd1c3c, (q31_t)0xeff11753, (q31_t)0x7ef9f29d, (q31_t)0xefd8287c, (q31_t)0x7ef6c418, (q31_t)0xefbf3a45, (q31_t)0x7ef390ae, (q31_t)0xefa64cae, + (q31_t)0x7ef05860, (q31_t)0xef8d5fb8, (q31_t)0x7eed1b2c, (q31_t)0xef747365, (q31_t)0x7ee9d914, (q31_t)0xef5b87b5, (q31_t)0x7ee69217, (q31_t)0xef429caa, + (q31_t)0x7ee34636, (q31_t)0xef29b243, (q31_t)0x7edff570, (q31_t)0xef10c883, (q31_t)0x7edc9fc6, (q31_t)0xeef7df6a, (q31_t)0x7ed94538, (q31_t)0xeedef6f9, + (q31_t)0x7ed5e5c6, (q31_t)0xeec60f31, (q31_t)0x7ed28171, (q31_t)0xeead2813, (q31_t)0x7ecf1837, (q31_t)0xee9441a0, (q31_t)0x7ecbaa1a, (q31_t)0xee7b5bd9, + (q31_t)0x7ec8371a, (q31_t)0xee6276bf, (q31_t)0x7ec4bf36, (q31_t)0xee499253, (q31_t)0x7ec14270, (q31_t)0xee30ae96, (q31_t)0x7ebdc0c6, (q31_t)0xee17cb88, + (q31_t)0x7eba3a39, (q31_t)0xedfee92b, (q31_t)0x7eb6aeca, (q31_t)0xede60780, (q31_t)0x7eb31e78, (q31_t)0xedcd2687, (q31_t)0x7eaf8943, (q31_t)0xedb44642, + (q31_t)0x7eabef2c, (q31_t)0xed9b66b2, (q31_t)0x7ea85033, (q31_t)0xed8287d7, (q31_t)0x7ea4ac58, (q31_t)0xed69a9b3, (q31_t)0x7ea1039b, (q31_t)0xed50cc46, + (q31_t)0x7e9d55fc, (q31_t)0xed37ef91, (q31_t)0x7e99a37c, (q31_t)0xed1f1396, (q31_t)0x7e95ec1a, (q31_t)0xed063856, (q31_t)0x7e922fd6, (q31_t)0xeced5dd0, + (q31_t)0x7e8e6eb2, (q31_t)0xecd48407, (q31_t)0x7e8aa8ac, (q31_t)0xecbbaafb, (q31_t)0x7e86ddc6, (q31_t)0xeca2d2ad, (q31_t)0x7e830dff, (q31_t)0xec89fb1e, + (q31_t)0x7e7f3957, (q31_t)0xec71244f, (q31_t)0x7e7b5fce, (q31_t)0xec584e41, (q31_t)0x7e778166, (q31_t)0xec3f78f6, (q31_t)0x7e739e1d, (q31_t)0xec26a46d, + (q31_t)0x7e6fb5f4, (q31_t)0xec0dd0a8, (q31_t)0x7e6bc8eb, (q31_t)0xebf4fda8, (q31_t)0x7e67d703, (q31_t)0xebdc2b6e, (q31_t)0x7e63e03b, (q31_t)0xebc359fb, + (q31_t)0x7e5fe493, (q31_t)0xebaa894f, (q31_t)0x7e5be40c, (q31_t)0xeb91b96c, (q31_t)0x7e57dea7, (q31_t)0xeb78ea52, (q31_t)0x7e53d462, (q31_t)0xeb601c04, + (q31_t)0x7e4fc53e, (q31_t)0xeb474e81, (q31_t)0x7e4bb13c, (q31_t)0xeb2e81ca, (q31_t)0x7e47985b, (q31_t)0xeb15b5e1, (q31_t)0x7e437a9c, (q31_t)0xeafceac6, + (q31_t)0x7e3f57ff, (q31_t)0xeae4207a, (q31_t)0x7e3b3083, (q31_t)0xeacb56ff, (q31_t)0x7e37042a, (q31_t)0xeab28e56, (q31_t)0x7e32d2f4, (q31_t)0xea99c67e, + (q31_t)0x7e2e9cdf, (q31_t)0xea80ff7a, (q31_t)0x7e2a61ed, (q31_t)0xea683949, (q31_t)0x7e26221f, (q31_t)0xea4f73ee, (q31_t)0x7e21dd73, (q31_t)0xea36af69, + (q31_t)0x7e1d93ea, (q31_t)0xea1debbb, (q31_t)0x7e194584, (q31_t)0xea0528e5, (q31_t)0x7e14f242, (q31_t)0xe9ec66e8, (q31_t)0x7e109a24, (q31_t)0xe9d3a5c5, + (q31_t)0x7e0c3d29, (q31_t)0xe9bae57d, (q31_t)0x7e07db52, (q31_t)0xe9a22610, (q31_t)0x7e0374a0, (q31_t)0xe9896781, (q31_t)0x7dff0911, (q31_t)0xe970a9ce, + (q31_t)0x7dfa98a8, (q31_t)0xe957ecfb, (q31_t)0x7df62362, (q31_t)0xe93f3107, (q31_t)0x7df1a942, (q31_t)0xe92675f4, (q31_t)0x7ded2a47, (q31_t)0xe90dbbc2, + (q31_t)0x7de8a670, (q31_t)0xe8f50273, (q31_t)0x7de41dc0, (q31_t)0xe8dc4a07, (q31_t)0x7ddf9034, (q31_t)0xe8c39280, (q31_t)0x7ddafdce, (q31_t)0xe8aadbde, + (q31_t)0x7dd6668f, (q31_t)0xe8922622, (q31_t)0x7dd1ca75, (q31_t)0xe879714d, (q31_t)0x7dcd2981, (q31_t)0xe860bd61, (q31_t)0x7dc883b4, (q31_t)0xe8480a5d, + (q31_t)0x7dc3d90d, (q31_t)0xe82f5844, (q31_t)0x7dbf298d, (q31_t)0xe816a716, (q31_t)0x7dba7534, (q31_t)0xe7fdf6d4, (q31_t)0x7db5bc02, (q31_t)0xe7e5477f, + (q31_t)0x7db0fdf8, (q31_t)0xe7cc9917, (q31_t)0x7dac3b15, (q31_t)0xe7b3eb9f, (q31_t)0x7da77359, (q31_t)0xe79b3f16, (q31_t)0x7da2a6c6, (q31_t)0xe782937e, + (q31_t)0x7d9dd55a, (q31_t)0xe769e8d8, (q31_t)0x7d98ff17, (q31_t)0xe7513f25, (q31_t)0x7d9423fc, (q31_t)0xe7389665, (q31_t)0x7d8f4409, (q31_t)0xe71fee99, + (q31_t)0x7d8a5f40, (q31_t)0xe70747c4, (q31_t)0x7d85759f, (q31_t)0xe6eea1e4, (q31_t)0x7d808728, (q31_t)0xe6d5fcfc, (q31_t)0x7d7b93da, (q31_t)0xe6bd590d, + (q31_t)0x7d769bb5, (q31_t)0xe6a4b616, (q31_t)0x7d719eba, (q31_t)0xe68c141a, (q31_t)0x7d6c9ce9, (q31_t)0xe6737319, (q31_t)0x7d679642, (q31_t)0xe65ad315, + (q31_t)0x7d628ac6, (q31_t)0xe642340d, (q31_t)0x7d5d7a74, (q31_t)0xe6299604, (q31_t)0x7d58654d, (q31_t)0xe610f8f9, (q31_t)0x7d534b50, (q31_t)0xe5f85cef, + (q31_t)0x7d4e2c7f, (q31_t)0xe5dfc1e5, (q31_t)0x7d4908d9, (q31_t)0xe5c727dd, (q31_t)0x7d43e05e, (q31_t)0xe5ae8ed8, (q31_t)0x7d3eb30f, (q31_t)0xe595f6d7, + (q31_t)0x7d3980ec, (q31_t)0xe57d5fda, (q31_t)0x7d3449f5, (q31_t)0xe564c9e3, (q31_t)0x7d2f0e2b, (q31_t)0xe54c34f3, (q31_t)0x7d29cd8c, (q31_t)0xe533a10a, + (q31_t)0x7d24881b, (q31_t)0xe51b0e2a, (q31_t)0x7d1f3dd6, (q31_t)0xe5027c53, (q31_t)0x7d19eebf, (q31_t)0xe4e9eb87, (q31_t)0x7d149ad5, (q31_t)0xe4d15bc6, + (q31_t)0x7d0f4218, (q31_t)0xe4b8cd11, (q31_t)0x7d09e489, (q31_t)0xe4a03f69, (q31_t)0x7d048228, (q31_t)0xe487b2d0, (q31_t)0x7cff1af5, (q31_t)0xe46f2745, + (q31_t)0x7cf9aef0, (q31_t)0xe4569ccb, (q31_t)0x7cf43e1a, (q31_t)0xe43e1362, (q31_t)0x7ceec873, (q31_t)0xe4258b0a, (q31_t)0x7ce94dfb, (q31_t)0xe40d03c6, + (q31_t)0x7ce3ceb2, (q31_t)0xe3f47d96, (q31_t)0x7cde4a98, (q31_t)0xe3dbf87a, (q31_t)0x7cd8c1ae, (q31_t)0xe3c37474, (q31_t)0x7cd333f3, (q31_t)0xe3aaf184, + (q31_t)0x7ccda169, (q31_t)0xe3926fad, (q31_t)0x7cc80a0f, (q31_t)0xe379eeed, (q31_t)0x7cc26de5, (q31_t)0xe3616f48, (q31_t)0x7cbcccec, (q31_t)0xe348f0bd, + (q31_t)0x7cb72724, (q31_t)0xe330734d, (q31_t)0x7cb17c8d, (q31_t)0xe317f6fa, (q31_t)0x7cabcd28, (q31_t)0xe2ff7bc3, (q31_t)0x7ca618f3, (q31_t)0xe2e701ac, + (q31_t)0x7ca05ff1, (q31_t)0xe2ce88b3, (q31_t)0x7c9aa221, (q31_t)0xe2b610da, (q31_t)0x7c94df83, (q31_t)0xe29d9a23, (q31_t)0x7c8f1817, (q31_t)0xe285248d, + (q31_t)0x7c894bde, (q31_t)0xe26cb01b, (q31_t)0x7c837ad8, (q31_t)0xe2543ccc, (q31_t)0x7c7da505, (q31_t)0xe23bcaa2, (q31_t)0x7c77ca65, (q31_t)0xe223599e, + (q31_t)0x7c71eaf9, (q31_t)0xe20ae9c1, (q31_t)0x7c6c06c0, (q31_t)0xe1f27b0b, (q31_t)0x7c661dbc, (q31_t)0xe1da0d7e, (q31_t)0x7c602fec, (q31_t)0xe1c1a11b, + (q31_t)0x7c5a3d50, (q31_t)0xe1a935e2, (q31_t)0x7c5445e9, (q31_t)0xe190cbd4, (q31_t)0x7c4e49b7, (q31_t)0xe17862f3, (q31_t)0x7c4848ba, (q31_t)0xe15ffb3f, + (q31_t)0x7c4242f2, (q31_t)0xe14794ba, (q31_t)0x7c3c3860, (q31_t)0xe12f2f63, (q31_t)0x7c362904, (q31_t)0xe116cb3d, (q31_t)0x7c3014de, (q31_t)0xe0fe6848, + (q31_t)0x7c29fbee, (q31_t)0xe0e60685, (q31_t)0x7c23de35, (q31_t)0xe0cda5f5, (q31_t)0x7c1dbbb3, (q31_t)0xe0b54698, (q31_t)0x7c179467, (q31_t)0xe09ce871, + (q31_t)0x7c116853, (q31_t)0xe0848b7f, (q31_t)0x7c0b3777, (q31_t)0xe06c2fc4, (q31_t)0x7c0501d2, (q31_t)0xe053d541, (q31_t)0x7bfec765, (q31_t)0xe03b7bf6, + (q31_t)0x7bf88830, (q31_t)0xe02323e5, (q31_t)0x7bf24434, (q31_t)0xe00acd0e, (q31_t)0x7bebfb70, (q31_t)0xdff27773, (q31_t)0x7be5ade6, (q31_t)0xdfda2314, + (q31_t)0x7bdf5b94, (q31_t)0xdfc1cff3, (q31_t)0x7bd9047c, (q31_t)0xdfa97e0f, (q31_t)0x7bd2a89e, (q31_t)0xdf912d6b, (q31_t)0x7bcc47fa, (q31_t)0xdf78de07, + (q31_t)0x7bc5e290, (q31_t)0xdf608fe4, (q31_t)0x7bbf7860, (q31_t)0xdf484302, (q31_t)0x7bb9096b, (q31_t)0xdf2ff764, (q31_t)0x7bb295b0, (q31_t)0xdf17ad0a, + (q31_t)0x7bac1d31, (q31_t)0xdeff63f4, (q31_t)0x7ba59fee, (q31_t)0xdee71c24, (q31_t)0x7b9f1de6, (q31_t)0xdeced59b, (q31_t)0x7b989719, (q31_t)0xdeb69059, + (q31_t)0x7b920b89, (q31_t)0xde9e4c60, (q31_t)0x7b8b7b36, (q31_t)0xde8609b1, (q31_t)0x7b84e61f, (q31_t)0xde6dc84b, (q31_t)0x7b7e4c45, (q31_t)0xde558831, + (q31_t)0x7b77ada8, (q31_t)0xde3d4964, (q31_t)0x7b710a49, (q31_t)0xde250be3, (q31_t)0x7b6a6227, (q31_t)0xde0ccfb1, (q31_t)0x7b63b543, (q31_t)0xddf494ce, + (q31_t)0x7b5d039e, (q31_t)0xdddc5b3b, (q31_t)0x7b564d36, (q31_t)0xddc422f8, (q31_t)0x7b4f920e, (q31_t)0xddabec08, (q31_t)0x7b48d225, (q31_t)0xdd93b66a, + (q31_t)0x7b420d7a, (q31_t)0xdd7b8220, (q31_t)0x7b3b4410, (q31_t)0xdd634f2b, (q31_t)0x7b3475e5, (q31_t)0xdd4b1d8c, (q31_t)0x7b2da2fa, (q31_t)0xdd32ed43, + (q31_t)0x7b26cb4f, (q31_t)0xdd1abe51, (q31_t)0x7b1feee5, (q31_t)0xdd0290b8, (q31_t)0x7b190dbc, (q31_t)0xdcea6478, (q31_t)0x7b1227d3, (q31_t)0xdcd23993, + (q31_t)0x7b0b3d2c, (q31_t)0xdcba1008, (q31_t)0x7b044dc7, (q31_t)0xdca1e7da, (q31_t)0x7afd59a4, (q31_t)0xdc89c109, (q31_t)0x7af660c2, (q31_t)0xdc719b96, + (q31_t)0x7aef6323, (q31_t)0xdc597781, (q31_t)0x7ae860c7, (q31_t)0xdc4154cd, (q31_t)0x7ae159ae, (q31_t)0xdc293379, (q31_t)0x7ada4dd8, (q31_t)0xdc111388, + (q31_t)0x7ad33d45, (q31_t)0xdbf8f4f8, (q31_t)0x7acc27f7, (q31_t)0xdbe0d7cd, (q31_t)0x7ac50dec, (q31_t)0xdbc8bc06, (q31_t)0x7abdef25, (q31_t)0xdbb0a1a4, + (q31_t)0x7ab6cba4, (q31_t)0xdb9888a8, (q31_t)0x7aafa367, (q31_t)0xdb807114, (q31_t)0x7aa8766f, (q31_t)0xdb685ae9, (q31_t)0x7aa144bc, (q31_t)0xdb504626, + (q31_t)0x7a9a0e50, (q31_t)0xdb3832cd, (q31_t)0x7a92d329, (q31_t)0xdb2020e0, (q31_t)0x7a8b9348, (q31_t)0xdb08105e, (q31_t)0x7a844eae, (q31_t)0xdaf00149, + (q31_t)0x7a7d055b, (q31_t)0xdad7f3a2, (q31_t)0x7a75b74f, (q31_t)0xdabfe76a, (q31_t)0x7a6e648a, (q31_t)0xdaa7dca1, (q31_t)0x7a670d0d, (q31_t)0xda8fd349, + (q31_t)0x7a5fb0d8, (q31_t)0xda77cb63, (q31_t)0x7a584feb, (q31_t)0xda5fc4ef, (q31_t)0x7a50ea47, (q31_t)0xda47bfee, (q31_t)0x7a497feb, (q31_t)0xda2fbc61, + (q31_t)0x7a4210d8, (q31_t)0xda17ba4a, (q31_t)0x7a3a9d0f, (q31_t)0xd9ffb9a9, (q31_t)0x7a332490, (q31_t)0xd9e7ba7f, (q31_t)0x7a2ba75a, (q31_t)0xd9cfbccd, + (q31_t)0x7a24256f, (q31_t)0xd9b7c094, (q31_t)0x7a1c9ece, (q31_t)0xd99fc5d4, (q31_t)0x7a151378, (q31_t)0xd987cc90, (q31_t)0x7a0d836d, (q31_t)0xd96fd4c7, + (q31_t)0x7a05eead, (q31_t)0xd957de7a, (q31_t)0x79fe5539, (q31_t)0xd93fe9ab, (q31_t)0x79f6b711, (q31_t)0xd927f65b, (q31_t)0x79ef1436, (q31_t)0xd910048a, + (q31_t)0x79e76ca7, (q31_t)0xd8f81439, (q31_t)0x79dfc064, (q31_t)0xd8e0256a, (q31_t)0x79d80f6f, (q31_t)0xd8c8381d, (q31_t)0x79d059c8, (q31_t)0xd8b04c52, + (q31_t)0x79c89f6e, (q31_t)0xd898620c, (q31_t)0x79c0e062, (q31_t)0xd880794b, (q31_t)0x79b91ca4, (q31_t)0xd868920f, (q31_t)0x79b15435, (q31_t)0xd850ac5a, + (q31_t)0x79a98715, (q31_t)0xd838c82d, (q31_t)0x79a1b545, (q31_t)0xd820e589, (q31_t)0x7999dec4, (q31_t)0xd809046e, (q31_t)0x79920392, (q31_t)0xd7f124dd, + (q31_t)0x798a23b1, (q31_t)0xd7d946d8, (q31_t)0x79823f20, (q31_t)0xd7c16a5f, (q31_t)0x797a55e0, (q31_t)0xd7a98f73, (q31_t)0x797267f2, (q31_t)0xd791b616, + (q31_t)0x796a7554, (q31_t)0xd779de47, (q31_t)0x79627e08, (q31_t)0xd7620808, (q31_t)0x795a820e, (q31_t)0xd74a335b, (q31_t)0x79528167, (q31_t)0xd732603f, + (q31_t)0x794a7c12, (q31_t)0xd71a8eb5, (q31_t)0x79427210, (q31_t)0xd702bec0, (q31_t)0x793a6361, (q31_t)0xd6eaf05f, (q31_t)0x79325006, (q31_t)0xd6d32393, + (q31_t)0x792a37fe, (q31_t)0xd6bb585e, (q31_t)0x79221b4b, (q31_t)0xd6a38ec0, (q31_t)0x7919f9ec, (q31_t)0xd68bc6ba, (q31_t)0x7911d3e2, (q31_t)0xd674004e, + (q31_t)0x7909a92d, (q31_t)0xd65c3b7b, (q31_t)0x790179cd, (q31_t)0xd6447844, (q31_t)0x78f945c3, (q31_t)0xd62cb6a8, (q31_t)0x78f10d0f, (q31_t)0xd614f6a9, + (q31_t)0x78e8cfb2, (q31_t)0xd5fd3848, (q31_t)0x78e08dab, (q31_t)0xd5e57b85, (q31_t)0x78d846fb, (q31_t)0xd5cdc062, (q31_t)0x78cffba3, (q31_t)0xd5b606e0, + (q31_t)0x78c7aba2, (q31_t)0xd59e4eff, (q31_t)0x78bf56f9, (q31_t)0xd58698c0, (q31_t)0x78b6fda8, (q31_t)0xd56ee424, (q31_t)0x78ae9fb0, (q31_t)0xd557312d, + (q31_t)0x78a63d11, (q31_t)0xd53f7fda, (q31_t)0x789dd5cb, (q31_t)0xd527d02e, (q31_t)0x789569df, (q31_t)0xd5102228, (q31_t)0x788cf94c, (q31_t)0xd4f875ca, + (q31_t)0x78848414, (q31_t)0xd4e0cb15, (q31_t)0x787c0a36, (q31_t)0xd4c92209, (q31_t)0x78738bb3, (q31_t)0xd4b17aa8, (q31_t)0x786b088c, (q31_t)0xd499d4f2, + (q31_t)0x786280bf, (q31_t)0xd48230e9, (q31_t)0x7859f44f, (q31_t)0xd46a8e8d, (q31_t)0x7851633b, (q31_t)0xd452eddf, (q31_t)0x7848cd83, (q31_t)0xd43b4ee0, + (q31_t)0x78403329, (q31_t)0xd423b191, (q31_t)0x7837942b, (q31_t)0xd40c15f3, (q31_t)0x782ef08b, (q31_t)0xd3f47c06, (q31_t)0x78264849, (q31_t)0xd3dce3cd, + (q31_t)0x781d9b65, (q31_t)0xd3c54d47, (q31_t)0x7814e9df, (q31_t)0xd3adb876, (q31_t)0x780c33b8, (q31_t)0xd396255a, (q31_t)0x780378f1, (q31_t)0xd37e93f4, + (q31_t)0x77fab989, (q31_t)0xd3670446, (q31_t)0x77f1f581, (q31_t)0xd34f764f, (q31_t)0x77e92cd9, (q31_t)0xd337ea12, (q31_t)0x77e05f91, (q31_t)0xd3205f8f, + (q31_t)0x77d78daa, (q31_t)0xd308d6c7, (q31_t)0x77ceb725, (q31_t)0xd2f14fba, (q31_t)0x77c5dc01, (q31_t)0xd2d9ca6a, (q31_t)0x77bcfc3f, (q31_t)0xd2c246d8, + (q31_t)0x77b417df, (q31_t)0xd2aac504, (q31_t)0x77ab2ee2, (q31_t)0xd29344f0, (q31_t)0x77a24148, (q31_t)0xd27bc69c, (q31_t)0x77994f11, (q31_t)0xd2644a0a, + (q31_t)0x7790583e, (q31_t)0xd24ccf39, (q31_t)0x77875cce, (q31_t)0xd235562b, (q31_t)0x777e5cc3, (q31_t)0xd21ddee2, (q31_t)0x7775581d, (q31_t)0xd206695d, + (q31_t)0x776c4edb, (q31_t)0xd1eef59e, (q31_t)0x776340ff, (q31_t)0xd1d783a6, (q31_t)0x775a2e89, (q31_t)0xd1c01375, (q31_t)0x77511778, (q31_t)0xd1a8a50d, + (q31_t)0x7747fbce, (q31_t)0xd191386e, (q31_t)0x773edb8b, (q31_t)0xd179cd99, (q31_t)0x7735b6af, (q31_t)0xd1626490, (q31_t)0x772c8d3a, (q31_t)0xd14afd52, + (q31_t)0x77235f2d, (q31_t)0xd13397e2, (q31_t)0x771a2c88, (q31_t)0xd11c343f, (q31_t)0x7710f54c, (q31_t)0xd104d26b, (q31_t)0x7707b979, (q31_t)0xd0ed7267, + (q31_t)0x76fe790e, (q31_t)0xd0d61434, (q31_t)0x76f5340e, (q31_t)0xd0beb7d2, (q31_t)0x76ebea77, (q31_t)0xd0a75d42, (q31_t)0x76e29c4b, (q31_t)0xd0900486, + (q31_t)0x76d94989, (q31_t)0xd078ad9e, (q31_t)0x76cff232, (q31_t)0xd061588b, (q31_t)0x76c69647, (q31_t)0xd04a054e, (q31_t)0x76bd35c7, (q31_t)0xd032b3e7, + (q31_t)0x76b3d0b4, (q31_t)0xd01b6459, (q31_t)0x76aa670d, (q31_t)0xd00416a3, (q31_t)0x76a0f8d2, (q31_t)0xcfeccac7, (q31_t)0x76978605, (q31_t)0xcfd580c6, + (q31_t)0x768e0ea6, (q31_t)0xcfbe389f, (q31_t)0x768492b4, (q31_t)0xcfa6f255, (q31_t)0x767b1231, (q31_t)0xcf8fade9, (q31_t)0x76718d1c, (q31_t)0xcf786b5a, + (q31_t)0x76680376, (q31_t)0xcf612aaa, (q31_t)0x765e7540, (q31_t)0xcf49ebda, (q31_t)0x7654e279, (q31_t)0xcf32aeeb, (q31_t)0x764b4b23, (q31_t)0xcf1b73de, + (q31_t)0x7641af3d, (q31_t)0xcf043ab3, (q31_t)0x76380ec8, (q31_t)0xceed036b, (q31_t)0x762e69c4, (q31_t)0xced5ce08, (q31_t)0x7624c031, (q31_t)0xcebe9a8a, + (q31_t)0x761b1211, (q31_t)0xcea768f2, (q31_t)0x76115f63, (q31_t)0xce903942, (q31_t)0x7607a828, (q31_t)0xce790b79, (q31_t)0x75fdec60, (q31_t)0xce61df99, + (q31_t)0x75f42c0b, (q31_t)0xce4ab5a2, (q31_t)0x75ea672a, (q31_t)0xce338d97, (q31_t)0x75e09dbd, (q31_t)0xce1c6777, (q31_t)0x75d6cfc5, (q31_t)0xce054343, + (q31_t)0x75ccfd42, (q31_t)0xcdee20fc, (q31_t)0x75c32634, (q31_t)0xcdd700a4, (q31_t)0x75b94a9c, (q31_t)0xcdbfe23a, (q31_t)0x75af6a7b, (q31_t)0xcda8c5c1, + (q31_t)0x75a585cf, (q31_t)0xcd91ab39, (q31_t)0x759b9c9b, (q31_t)0xcd7a92a2, (q31_t)0x7591aedd, (q31_t)0xcd637bfe, (q31_t)0x7587bc98, (q31_t)0xcd4c674d, + (q31_t)0x757dc5ca, (q31_t)0xcd355491, (q31_t)0x7573ca75, (q31_t)0xcd1e43ca, (q31_t)0x7569ca99, (q31_t)0xcd0734f9, (q31_t)0x755fc635, (q31_t)0xccf0281f, + (q31_t)0x7555bd4c, (q31_t)0xccd91d3d, (q31_t)0x754bafdc, (q31_t)0xccc21455, (q31_t)0x75419de7, (q31_t)0xccab0d65, (q31_t)0x7537876c, (q31_t)0xcc940871, + (q31_t)0x752d6c6c, (q31_t)0xcc7d0578, (q31_t)0x75234ce8, (q31_t)0xcc66047b, (q31_t)0x751928e0, (q31_t)0xcc4f057c, (q31_t)0x750f0054, (q31_t)0xcc38087b, + (q31_t)0x7504d345, (q31_t)0xcc210d79, (q31_t)0x74faa1b3, (q31_t)0xcc0a1477, (q31_t)0x74f06b9e, (q31_t)0xcbf31d75, (q31_t)0x74e63108, (q31_t)0xcbdc2876, + (q31_t)0x74dbf1ef, (q31_t)0xcbc53579, (q31_t)0x74d1ae55, (q31_t)0xcbae447f, (q31_t)0x74c7663a, (q31_t)0xcb97558a, (q31_t)0x74bd199f, (q31_t)0xcb80689a, + (q31_t)0x74b2c884, (q31_t)0xcb697db0, (q31_t)0x74a872e8, (q31_t)0xcb5294ce, (q31_t)0x749e18cd, (q31_t)0xcb3badf3, (q31_t)0x7493ba34, (q31_t)0xcb24c921, + (q31_t)0x7489571c, (q31_t)0xcb0de658, (q31_t)0x747eef85, (q31_t)0xcaf7059a, (q31_t)0x74748371, (q31_t)0xcae026e8, (q31_t)0x746a12df, (q31_t)0xcac94a42, + (q31_t)0x745f9dd1, (q31_t)0xcab26fa9, (q31_t)0x74552446, (q31_t)0xca9b971e, (q31_t)0x744aa63f, (q31_t)0xca84c0a3, (q31_t)0x744023bc, (q31_t)0xca6dec37, + (q31_t)0x74359cbd, (q31_t)0xca5719db, (q31_t)0x742b1144, (q31_t)0xca404992, (q31_t)0x74208150, (q31_t)0xca297b5a, (q31_t)0x7415ece2, (q31_t)0xca12af37, + (q31_t)0x740b53fb, (q31_t)0xc9fbe527, (q31_t)0x7400b69a, (q31_t)0xc9e51d2d, (q31_t)0x73f614c0, (q31_t)0xc9ce5748, (q31_t)0x73eb6e6e, (q31_t)0xc9b7937a, + (q31_t)0x73e0c3a3, (q31_t)0xc9a0d1c5, (q31_t)0x73d61461, (q31_t)0xc98a1227, (q31_t)0x73cb60a8, (q31_t)0xc97354a4, (q31_t)0x73c0a878, (q31_t)0xc95c993a, + (q31_t)0x73b5ebd1, (q31_t)0xc945dfec, (q31_t)0x73ab2ab4, (q31_t)0xc92f28ba, (q31_t)0x73a06522, (q31_t)0xc91873a5, (q31_t)0x73959b1b, (q31_t)0xc901c0ae, + (q31_t)0x738acc9e, (q31_t)0xc8eb0fd6, (q31_t)0x737ff9ae, (q31_t)0xc8d4611d, (q31_t)0x73752249, (q31_t)0xc8bdb485, (q31_t)0x736a4671, (q31_t)0xc8a70a0e, + (q31_t)0x735f6626, (q31_t)0xc89061ba, (q31_t)0x73548168, (q31_t)0xc879bb89, (q31_t)0x73499838, (q31_t)0xc863177b, (q31_t)0x733eaa96, (q31_t)0xc84c7593, + (q31_t)0x7333b883, (q31_t)0xc835d5d0, (q31_t)0x7328c1ff, (q31_t)0xc81f3834, (q31_t)0x731dc70a, (q31_t)0xc8089cbf, (q31_t)0x7312c7a5, (q31_t)0xc7f20373, + (q31_t)0x7307c3d0, (q31_t)0xc7db6c50, (q31_t)0x72fcbb8c, (q31_t)0xc7c4d757, (q31_t)0x72f1aed9, (q31_t)0xc7ae4489, (q31_t)0x72e69db7, (q31_t)0xc797b3e7, + (q31_t)0x72db8828, (q31_t)0xc7812572, (q31_t)0x72d06e2b, (q31_t)0xc76a992a, (q31_t)0x72c54fc1, (q31_t)0xc7540f11, (q31_t)0x72ba2cea, (q31_t)0xc73d8727, + (q31_t)0x72af05a7, (q31_t)0xc727016d, (q31_t)0x72a3d9f7, (q31_t)0xc7107de4, (q31_t)0x7298a9dd, (q31_t)0xc6f9fc8d, (q31_t)0x728d7557, (q31_t)0xc6e37d69, + (q31_t)0x72823c67, (q31_t)0xc6cd0079, (q31_t)0x7276ff0d, (q31_t)0xc6b685bd, (q31_t)0x726bbd48, (q31_t)0xc6a00d37, (q31_t)0x7260771b, (q31_t)0xc68996e7, + (q31_t)0x72552c85, (q31_t)0xc67322ce, (q31_t)0x7249dd86, (q31_t)0xc65cb0ed, (q31_t)0x723e8a20, (q31_t)0xc6464144, (q31_t)0x72333251, (q31_t)0xc62fd3d6, + (q31_t)0x7227d61c, (q31_t)0xc61968a2, (q31_t)0x721c7580, (q31_t)0xc602ffaa, (q31_t)0x7211107e, (q31_t)0xc5ec98ee, (q31_t)0x7205a716, (q31_t)0xc5d6346f, + (q31_t)0x71fa3949, (q31_t)0xc5bfd22e, (q31_t)0x71eec716, (q31_t)0xc5a9722c, (q31_t)0x71e35080, (q31_t)0xc593146a, (q31_t)0x71d7d585, (q31_t)0xc57cb8e9, + (q31_t)0x71cc5626, (q31_t)0xc5665fa9, (q31_t)0x71c0d265, (q31_t)0xc55008ab, (q31_t)0x71b54a41, (q31_t)0xc539b3f1, (q31_t)0x71a9bdba, (q31_t)0xc523617a, + (q31_t)0x719e2cd2, (q31_t)0xc50d1149, (q31_t)0x71929789, (q31_t)0xc4f6c35d, (q31_t)0x7186fdde, (q31_t)0xc4e077b8, (q31_t)0x717b5fd3, (q31_t)0xc4ca2e5b, + (q31_t)0x716fbd68, (q31_t)0xc4b3e746, (q31_t)0x7164169d, (q31_t)0xc49da27a, (q31_t)0x71586b74, (q31_t)0xc4875ff9, (q31_t)0x714cbbeb, (q31_t)0xc4711fc2, + (q31_t)0x71410805, (q31_t)0xc45ae1d7, (q31_t)0x71354fc0, (q31_t)0xc444a639, (q31_t)0x7129931f, (q31_t)0xc42e6ce8, (q31_t)0x711dd220, (q31_t)0xc41835e6, + (q31_t)0x71120cc5, (q31_t)0xc4020133, (q31_t)0x7106430e, (q31_t)0xc3ebced0, (q31_t)0x70fa74fc, (q31_t)0xc3d59ebe, (q31_t)0x70eea28e, (q31_t)0xc3bf70fd, + (q31_t)0x70e2cbc6, (q31_t)0xc3a94590, (q31_t)0x70d6f0a4, (q31_t)0xc3931c76, (q31_t)0x70cb1128, (q31_t)0xc37cf5b0, (q31_t)0x70bf2d53, (q31_t)0xc366d140, + (q31_t)0x70b34525, (q31_t)0xc350af26, (q31_t)0x70a7589f, (q31_t)0xc33a8f62, (q31_t)0x709b67c0, (q31_t)0xc32471f7, (q31_t)0x708f728b, (q31_t)0xc30e56e4, + (q31_t)0x708378ff, (q31_t)0xc2f83e2a, (q31_t)0x70777b1c, (q31_t)0xc2e227cb, (q31_t)0x706b78e3, (q31_t)0xc2cc13c7, (q31_t)0x705f7255, (q31_t)0xc2b6021f, + (q31_t)0x70536771, (q31_t)0xc29ff2d4, (q31_t)0x70475839, (q31_t)0xc289e5e7, (q31_t)0x703b44ad, (q31_t)0xc273db58, (q31_t)0x702f2ccd, (q31_t)0xc25dd329, + (q31_t)0x7023109a, (q31_t)0xc247cd5a, (q31_t)0x7016f014, (q31_t)0xc231c9ec, (q31_t)0x700acb3c, (q31_t)0xc21bc8e1, (q31_t)0x6ffea212, (q31_t)0xc205ca38, + (q31_t)0x6ff27497, (q31_t)0xc1efcdf3, (q31_t)0x6fe642ca, (q31_t)0xc1d9d412, (q31_t)0x6fda0cae, (q31_t)0xc1c3dc97, (q31_t)0x6fcdd241, (q31_t)0xc1ade781, + (q31_t)0x6fc19385, (q31_t)0xc197f4d4, (q31_t)0x6fb5507a, (q31_t)0xc182048d, (q31_t)0x6fa90921, (q31_t)0xc16c16b0, (q31_t)0x6f9cbd79, (q31_t)0xc1562b3d, + (q31_t)0x6f906d84, (q31_t)0xc1404233, (q31_t)0x6f841942, (q31_t)0xc12a5b95, (q31_t)0x6f77c0b3, (q31_t)0xc1147764, (q31_t)0x6f6b63d8, (q31_t)0xc0fe959f, + (q31_t)0x6f5f02b2, (q31_t)0xc0e8b648, (q31_t)0x6f529d40, (q31_t)0xc0d2d960, (q31_t)0x6f463383, (q31_t)0xc0bcfee7, (q31_t)0x6f39c57d, (q31_t)0xc0a726df, + (q31_t)0x6f2d532c, (q31_t)0xc0915148, (q31_t)0x6f20dc92, (q31_t)0xc07b7e23, (q31_t)0x6f1461b0, (q31_t)0xc065ad70, (q31_t)0x6f07e285, (q31_t)0xc04fdf32, + (q31_t)0x6efb5f12, (q31_t)0xc03a1368, (q31_t)0x6eeed758, (q31_t)0xc0244a14, (q31_t)0x6ee24b57, (q31_t)0xc00e8336, (q31_t)0x6ed5bb10, (q31_t)0xbff8bece, + (q31_t)0x6ec92683, (q31_t)0xbfe2fcdf, (q31_t)0x6ebc8db0, (q31_t)0xbfcd3d69, (q31_t)0x6eaff099, (q31_t)0xbfb7806c, (q31_t)0x6ea34f3d, (q31_t)0xbfa1c5ea, + (q31_t)0x6e96a99d, (q31_t)0xbf8c0de3, (q31_t)0x6e89ffb9, (q31_t)0xbf765858, (q31_t)0x6e7d5193, (q31_t)0xbf60a54a, (q31_t)0x6e709f2a, (q31_t)0xbf4af4ba, + (q31_t)0x6e63e87f, (q31_t)0xbf3546a8, (q31_t)0x6e572d93, (q31_t)0xbf1f9b16, (q31_t)0x6e4a6e66, (q31_t)0xbf09f205, (q31_t)0x6e3daaf8, (q31_t)0xbef44b74, + (q31_t)0x6e30e34a, (q31_t)0xbedea765, (q31_t)0x6e24175c, (q31_t)0xbec905d9, (q31_t)0x6e174730, (q31_t)0xbeb366d1, (q31_t)0x6e0a72c5, (q31_t)0xbe9dca4e, + (q31_t)0x6dfd9a1c, (q31_t)0xbe88304f, (q31_t)0x6df0bd35, (q31_t)0xbe7298d7, (q31_t)0x6de3dc11, (q31_t)0xbe5d03e6, (q31_t)0x6dd6f6b1, (q31_t)0xbe47717c, + (q31_t)0x6dca0d14, (q31_t)0xbe31e19b, (q31_t)0x6dbd1f3c, (q31_t)0xbe1c5444, (q31_t)0x6db02d29, (q31_t)0xbe06c977, (q31_t)0x6da336dc, (q31_t)0xbdf14135, + (q31_t)0x6d963c54, (q31_t)0xbddbbb7f, (q31_t)0x6d893d93, (q31_t)0xbdc63856, (q31_t)0x6d7c3a98, (q31_t)0xbdb0b7bb, (q31_t)0x6d6f3365, (q31_t)0xbd9b39ad, + (q31_t)0x6d6227fa, (q31_t)0xbd85be30, (q31_t)0x6d551858, (q31_t)0xbd704542, (q31_t)0x6d48047e, (q31_t)0xbd5acee5, (q31_t)0x6d3aec6e, (q31_t)0xbd455b1a, + (q31_t)0x6d2dd027, (q31_t)0xbd2fe9e2, (q31_t)0x6d20afac, (q31_t)0xbd1a7b3d, (q31_t)0x6d138afb, (q31_t)0xbd050f2c, (q31_t)0x6d066215, (q31_t)0xbcefa5b0, + (q31_t)0x6cf934fc, (q31_t)0xbcda3ecb, (q31_t)0x6cec03af, (q31_t)0xbcc4da7b, (q31_t)0x6cdece2f, (q31_t)0xbcaf78c4, (q31_t)0x6cd1947c, (q31_t)0xbc9a19a5, + (q31_t)0x6cc45698, (q31_t)0xbc84bd1f, (q31_t)0x6cb71482, (q31_t)0xbc6f6333, (q31_t)0x6ca9ce3b, (q31_t)0xbc5a0be2, (q31_t)0x6c9c83c3, (q31_t)0xbc44b72c, + (q31_t)0x6c8f351c, (q31_t)0xbc2f6513, (q31_t)0x6c81e245, (q31_t)0xbc1a1598, (q31_t)0x6c748b3f, (q31_t)0xbc04c8ba, (q31_t)0x6c67300b, (q31_t)0xbbef7e7c, + (q31_t)0x6c59d0a9, (q31_t)0xbbda36dd, (q31_t)0x6c4c6d1a, (q31_t)0xbbc4f1df, (q31_t)0x6c3f055d, (q31_t)0xbbafaf82, (q31_t)0x6c319975, (q31_t)0xbb9a6fc7, + (q31_t)0x6c242960, (q31_t)0xbb8532b0, (q31_t)0x6c16b521, (q31_t)0xbb6ff83c, (q31_t)0x6c093cb6, (q31_t)0xbb5ac06d, (q31_t)0x6bfbc021, (q31_t)0xbb458b43, + (q31_t)0x6bee3f62, (q31_t)0xbb3058c0, (q31_t)0x6be0ba7b, (q31_t)0xbb1b28e4, (q31_t)0x6bd3316a, (q31_t)0xbb05fbb0, (q31_t)0x6bc5a431, (q31_t)0xbaf0d125, + (q31_t)0x6bb812d1, (q31_t)0xbadba943, (q31_t)0x6baa7d49, (q31_t)0xbac6840c, (q31_t)0x6b9ce39b, (q31_t)0xbab16180, (q31_t)0x6b8f45c7, (q31_t)0xba9c41a0, + (q31_t)0x6b81a3cd, (q31_t)0xba87246d, (q31_t)0x6b73fdae, (q31_t)0xba7209e7, (q31_t)0x6b66536b, (q31_t)0xba5cf210, (q31_t)0x6b58a503, (q31_t)0xba47dce8, + (q31_t)0x6b4af279, (q31_t)0xba32ca71, (q31_t)0x6b3d3bcb, (q31_t)0xba1dbaaa, (q31_t)0x6b2f80fb, (q31_t)0xba08ad95, (q31_t)0x6b21c208, (q31_t)0xb9f3a332, + (q31_t)0x6b13fef5, (q31_t)0xb9de9b83, (q31_t)0x6b0637c1, (q31_t)0xb9c99688, (q31_t)0x6af86c6c, (q31_t)0xb9b49442, (q31_t)0x6aea9cf8, (q31_t)0xb99f94b2, + (q31_t)0x6adcc964, (q31_t)0xb98a97d8, (q31_t)0x6acef1b2, (q31_t)0xb9759db6, (q31_t)0x6ac115e2, (q31_t)0xb960a64c, (q31_t)0x6ab335f4, (q31_t)0xb94bb19b, + (q31_t)0x6aa551e9, (q31_t)0xb936bfa4, (q31_t)0x6a9769c1, (q31_t)0xb921d067, (q31_t)0x6a897d7d, (q31_t)0xb90ce3e6, (q31_t)0x6a7b8d1e, (q31_t)0xb8f7fa21, + (q31_t)0x6a6d98a4, (q31_t)0xb8e31319, (q31_t)0x6a5fa010, (q31_t)0xb8ce2ecf, (q31_t)0x6a51a361, (q31_t)0xb8b94d44, (q31_t)0x6a43a29a, (q31_t)0xb8a46e78, + (q31_t)0x6a359db9, (q31_t)0xb88f926d, (q31_t)0x6a2794c1, (q31_t)0xb87ab922, (q31_t)0x6a1987b0, (q31_t)0xb865e299, (q31_t)0x6a0b7689, (q31_t)0xb8510ed4, + (q31_t)0x69fd614a, (q31_t)0xb83c3dd1, (q31_t)0x69ef47f6, (q31_t)0xb8276f93, (q31_t)0x69e12a8c, (q31_t)0xb812a41a, (q31_t)0x69d3090e, (q31_t)0xb7fddb67, + (q31_t)0x69c4e37a, (q31_t)0xb7e9157a, (q31_t)0x69b6b9d3, (q31_t)0xb7d45255, (q31_t)0x69a88c19, (q31_t)0xb7bf91f8, (q31_t)0x699a5a4c, (q31_t)0xb7aad465, + (q31_t)0x698c246c, (q31_t)0xb796199b, (q31_t)0x697dea7b, (q31_t)0xb781619c, (q31_t)0x696fac78, (q31_t)0xb76cac69, (q31_t)0x69616a65, (q31_t)0xb757fa01, + (q31_t)0x69532442, (q31_t)0xb7434a67, (q31_t)0x6944da10, (q31_t)0xb72e9d9b, (q31_t)0x69368bce, (q31_t)0xb719f39e, (q31_t)0x6928397e, (q31_t)0xb7054c6f, + (q31_t)0x6919e320, (q31_t)0xb6f0a812, (q31_t)0x690b88b5, (q31_t)0xb6dc0685, (q31_t)0x68fd2a3d, (q31_t)0xb6c767ca, (q31_t)0x68eec7b9, (q31_t)0xb6b2cbe2, + (q31_t)0x68e06129, (q31_t)0xb69e32cd, (q31_t)0x68d1f68f, (q31_t)0xb6899c8d, (q31_t)0x68c387e9, (q31_t)0xb6750921, (q31_t)0x68b5153a, (q31_t)0xb660788c, + (q31_t)0x68a69e81, (q31_t)0xb64beacd, (q31_t)0x689823bf, (q31_t)0xb6375fe5, (q31_t)0x6889a4f6, (q31_t)0xb622d7d6, (q31_t)0x687b2224, (q31_t)0xb60e529f, + (q31_t)0x686c9b4b, (q31_t)0xb5f9d043, (q31_t)0x685e106c, (q31_t)0xb5e550c1, (q31_t)0x684f8186, (q31_t)0xb5d0d41a, (q31_t)0x6840ee9b, (q31_t)0xb5bc5a50, + (q31_t)0x683257ab, (q31_t)0xb5a7e362, (q31_t)0x6823bcb7, (q31_t)0xb5936f53, (q31_t)0x68151dbe, (q31_t)0xb57efe22, (q31_t)0x68067ac3, (q31_t)0xb56a8fd0, + (q31_t)0x67f7d3c5, (q31_t)0xb556245e, (q31_t)0x67e928c5, (q31_t)0xb541bbcd, (q31_t)0x67da79c3, (q31_t)0xb52d561e, (q31_t)0x67cbc6c0, (q31_t)0xb518f351, + (q31_t)0x67bd0fbd, (q31_t)0xb5049368, (q31_t)0x67ae54ba, (q31_t)0xb4f03663, (q31_t)0x679f95b7, (q31_t)0xb4dbdc42, (q31_t)0x6790d2b6, (q31_t)0xb4c78507, + (q31_t)0x67820bb7, (q31_t)0xb4b330b3, (q31_t)0x677340ba, (q31_t)0xb49edf45, (q31_t)0x676471c0, (q31_t)0xb48a90c0, (q31_t)0x67559eca, (q31_t)0xb4764523, + (q31_t)0x6746c7d8, (q31_t)0xb461fc70, (q31_t)0x6737ecea, (q31_t)0xb44db6a8, (q31_t)0x67290e02, (q31_t)0xb43973ca, (q31_t)0x671a2b20, (q31_t)0xb42533d8, + (q31_t)0x670b4444, (q31_t)0xb410f6d3, (q31_t)0x66fc596f, (q31_t)0xb3fcbcbb, (q31_t)0x66ed6aa1, (q31_t)0xb3e88592, (q31_t)0x66de77dc, (q31_t)0xb3d45157, + (q31_t)0x66cf8120, (q31_t)0xb3c0200c, (q31_t)0x66c0866d, (q31_t)0xb3abf1b2, (q31_t)0x66b187c3, (q31_t)0xb397c649, (q31_t)0x66a28524, (q31_t)0xb3839dd3, + (q31_t)0x66937e91, (q31_t)0xb36f784f, (q31_t)0x66847408, (q31_t)0xb35b55bf, (q31_t)0x6675658c, (q31_t)0xb3473623, (q31_t)0x6666531d, (q31_t)0xb333197c, + (q31_t)0x66573cbb, (q31_t)0xb31effcc, (q31_t)0x66482267, (q31_t)0xb30ae912, (q31_t)0x66390422, (q31_t)0xb2f6d550, (q31_t)0x6629e1ec, (q31_t)0xb2e2c486, + (q31_t)0x661abbc5, (q31_t)0xb2ceb6b5, (q31_t)0x660b91af, (q31_t)0xb2baabde, (q31_t)0x65fc63a9, (q31_t)0xb2a6a402, (q31_t)0x65ed31b5, (q31_t)0xb2929f21, + (q31_t)0x65ddfbd3, (q31_t)0xb27e9d3c, (q31_t)0x65cec204, (q31_t)0xb26a9e54, (q31_t)0x65bf8447, (q31_t)0xb256a26a, (q31_t)0x65b0429f, (q31_t)0xb242a97e, + (q31_t)0x65a0fd0b, (q31_t)0xb22eb392, (q31_t)0x6591b38c, (q31_t)0xb21ac0a6, (q31_t)0x65826622, (q31_t)0xb206d0ba, (q31_t)0x657314cf, (q31_t)0xb1f2e3d0, + (q31_t)0x6563bf92, (q31_t)0xb1def9e9, (q31_t)0x6554666d, (q31_t)0xb1cb1304, (q31_t)0x6545095f, (q31_t)0xb1b72f23, (q31_t)0x6535a86b, (q31_t)0xb1a34e47, + (q31_t)0x6526438f, (q31_t)0xb18f7071, (q31_t)0x6516dacd, (q31_t)0xb17b95a0, (q31_t)0x65076e25, (q31_t)0xb167bdd7, (q31_t)0x64f7fd98, (q31_t)0xb153e915, + (q31_t)0x64e88926, (q31_t)0xb140175b, (q31_t)0x64d910d1, (q31_t)0xb12c48ab, (q31_t)0x64c99498, (q31_t)0xb1187d05, (q31_t)0x64ba147d, (q31_t)0xb104b46a, + (q31_t)0x64aa907f, (q31_t)0xb0f0eeda, (q31_t)0x649b08a0, (q31_t)0xb0dd2c56, (q31_t)0x648b7ce0, (q31_t)0xb0c96ce0, (q31_t)0x647bed3f, (q31_t)0xb0b5b077, + (q31_t)0x646c59bf, (q31_t)0xb0a1f71d, (q31_t)0x645cc260, (q31_t)0xb08e40d2, (q31_t)0x644d2722, (q31_t)0xb07a8d97, (q31_t)0x643d8806, (q31_t)0xb066dd6d, + (q31_t)0x642de50d, (q31_t)0xb0533055, (q31_t)0x641e3e38, (q31_t)0xb03f864f, (q31_t)0x640e9386, (q31_t)0xb02bdf5c, (q31_t)0x63fee4f8, (q31_t)0xb0183b7d, + (q31_t)0x63ef3290, (q31_t)0xb0049ab3, (q31_t)0x63df7c4d, (q31_t)0xaff0fcfe, (q31_t)0x63cfc231, (q31_t)0xafdd625f, (q31_t)0x63c0043b, (q31_t)0xafc9cad7, + (q31_t)0x63b0426d, (q31_t)0xafb63667, (q31_t)0x63a07cc7, (q31_t)0xafa2a50f, (q31_t)0x6390b34a, (q31_t)0xaf8f16d1, (q31_t)0x6380e5f6, (q31_t)0xaf7b8bac, + (q31_t)0x637114cc, (q31_t)0xaf6803a2, (q31_t)0x63613fcd, (q31_t)0xaf547eb3, (q31_t)0x635166f9, (q31_t)0xaf40fce1, (q31_t)0x63418a50, (q31_t)0xaf2d7e2b, + (q31_t)0x6331a9d4, (q31_t)0xaf1a0293, (q31_t)0x6321c585, (q31_t)0xaf068a1a, (q31_t)0x6311dd64, (q31_t)0xaef314c0, (q31_t)0x6301f171, (q31_t)0xaedfa285, + (q31_t)0x62f201ac, (q31_t)0xaecc336c, (q31_t)0x62e20e17, (q31_t)0xaeb8c774, (q31_t)0x62d216b3, (q31_t)0xaea55e9e, (q31_t)0x62c21b7e, (q31_t)0xae91f8eb, + (q31_t)0x62b21c7b, (q31_t)0xae7e965b, (q31_t)0x62a219aa, (q31_t)0xae6b36f0, (q31_t)0x6292130c, (q31_t)0xae57daab, (q31_t)0x628208a1, (q31_t)0xae44818b, + (q31_t)0x6271fa69, (q31_t)0xae312b92, (q31_t)0x6261e866, (q31_t)0xae1dd8c0, (q31_t)0x6251d298, (q31_t)0xae0a8916, (q31_t)0x6241b8ff, (q31_t)0xadf73c96, + (q31_t)0x62319b9d, (q31_t)0xade3f33e, (q31_t)0x62217a72, (q31_t)0xadd0ad12, (q31_t)0x6211557e, (q31_t)0xadbd6a10, (q31_t)0x62012cc2, (q31_t)0xadaa2a3b, + (q31_t)0x61f1003f, (q31_t)0xad96ed92, (q31_t)0x61e0cff5, (q31_t)0xad83b416, (q31_t)0x61d09be5, (q31_t)0xad707dc8, (q31_t)0x61c06410, (q31_t)0xad5d4aaa, + (q31_t)0x61b02876, (q31_t)0xad4a1aba, (q31_t)0x619fe918, (q31_t)0xad36edfc, (q31_t)0x618fa5f7, (q31_t)0xad23c46e, (q31_t)0x617f5f12, (q31_t)0xad109e12, + (q31_t)0x616f146c, (q31_t)0xacfd7ae8, (q31_t)0x615ec603, (q31_t)0xacea5af2, (q31_t)0x614e73da, (q31_t)0xacd73e30, (q31_t)0x613e1df0, (q31_t)0xacc424a3, + (q31_t)0x612dc447, (q31_t)0xacb10e4b, (q31_t)0x611d66de, (q31_t)0xac9dfb29, (q31_t)0x610d05b7, (q31_t)0xac8aeb3e, (q31_t)0x60fca0d2, (q31_t)0xac77de8b, + (q31_t)0x60ec3830, (q31_t)0xac64d510, (q31_t)0x60dbcbd1, (q31_t)0xac51cecf, (q31_t)0x60cb5bb7, (q31_t)0xac3ecbc7, (q31_t)0x60bae7e1, (q31_t)0xac2bcbfa, + (q31_t)0x60aa7050, (q31_t)0xac18cf69, (q31_t)0x6099f505, (q31_t)0xac05d613, (q31_t)0x60897601, (q31_t)0xabf2dffb, (q31_t)0x6078f344, (q31_t)0xabdfed1f, + (q31_t)0x60686ccf, (q31_t)0xabccfd83, (q31_t)0x6057e2a2, (q31_t)0xabba1125, (q31_t)0x604754bf, (q31_t)0xaba72807, (q31_t)0x6036c325, (q31_t)0xab944229, + (q31_t)0x60262dd6, (q31_t)0xab815f8d, (q31_t)0x601594d1, (q31_t)0xab6e8032, (q31_t)0x6004f819, (q31_t)0xab5ba41a, (q31_t)0x5ff457ad, (q31_t)0xab48cb46, + (q31_t)0x5fe3b38d, (q31_t)0xab35f5b5, (q31_t)0x5fd30bbc, (q31_t)0xab23236a, (q31_t)0x5fc26038, (q31_t)0xab105464, (q31_t)0x5fb1b104, (q31_t)0xaafd88a4, + (q31_t)0x5fa0fe1f, (q31_t)0xaaeac02c, (q31_t)0x5f90478a, (q31_t)0xaad7fafb, (q31_t)0x5f7f8d46, (q31_t)0xaac53912, (q31_t)0x5f6ecf53, (q31_t)0xaab27a73, + (q31_t)0x5f5e0db3, (q31_t)0xaa9fbf1e, (q31_t)0x5f4d4865, (q31_t)0xaa8d0713, (q31_t)0x5f3c7f6b, (q31_t)0xaa7a5253, (q31_t)0x5f2bb2c5, (q31_t)0xaa67a0e0, + (q31_t)0x5f1ae274, (q31_t)0xaa54f2ba, (q31_t)0x5f0a0e77, (q31_t)0xaa4247e1, (q31_t)0x5ef936d1, (q31_t)0xaa2fa056, (q31_t)0x5ee85b82, (q31_t)0xaa1cfc1a, + (q31_t)0x5ed77c8a, (q31_t)0xaa0a5b2e, (q31_t)0x5ec699e9, (q31_t)0xa9f7bd92, (q31_t)0x5eb5b3a2, (q31_t)0xa9e52347, (q31_t)0x5ea4c9b3, (q31_t)0xa9d28c4e, + (q31_t)0x5e93dc1f, (q31_t)0xa9bff8a8, (q31_t)0x5e82eae5, (q31_t)0xa9ad6855, (q31_t)0x5e71f606, (q31_t)0xa99adb56, (q31_t)0x5e60fd84, (q31_t)0xa98851ac, + (q31_t)0x5e50015d, (q31_t)0xa975cb57, (q31_t)0x5e3f0194, (q31_t)0xa9634858, (q31_t)0x5e2dfe29, (q31_t)0xa950c8b0, (q31_t)0x5e1cf71c, (q31_t)0xa93e4c5f, + (q31_t)0x5e0bec6e, (q31_t)0xa92bd367, (q31_t)0x5dfade20, (q31_t)0xa9195dc7, (q31_t)0x5de9cc33, (q31_t)0xa906eb82, (q31_t)0x5dd8b6a7, (q31_t)0xa8f47c97, + (q31_t)0x5dc79d7c, (q31_t)0xa8e21106, (q31_t)0x5db680b4, (q31_t)0xa8cfa8d2, (q31_t)0x5da5604f, (q31_t)0xa8bd43fa, (q31_t)0x5d943c4e, (q31_t)0xa8aae280, + (q31_t)0x5d8314b1, (q31_t)0xa8988463, (q31_t)0x5d71e979, (q31_t)0xa88629a5, (q31_t)0x5d60baa7, (q31_t)0xa873d246, (q31_t)0x5d4f883b, (q31_t)0xa8617e48, + (q31_t)0x5d3e5237, (q31_t)0xa84f2daa, (q31_t)0x5d2d189a, (q31_t)0xa83ce06e, (q31_t)0x5d1bdb65, (q31_t)0xa82a9693, (q31_t)0x5d0a9a9a, (q31_t)0xa818501c, + (q31_t)0x5cf95638, (q31_t)0xa8060d08, (q31_t)0x5ce80e41, (q31_t)0xa7f3cd59, (q31_t)0x5cd6c2b5, (q31_t)0xa7e1910f, (q31_t)0x5cc57394, (q31_t)0xa7cf582a, + (q31_t)0x5cb420e0, (q31_t)0xa7bd22ac, (q31_t)0x5ca2ca99, (q31_t)0xa7aaf094, (q31_t)0x5c9170bf, (q31_t)0xa798c1e5, (q31_t)0x5c801354, (q31_t)0xa786969e, + (q31_t)0x5c6eb258, (q31_t)0xa7746ec0, (q31_t)0x5c5d4dcc, (q31_t)0xa7624a4d, (q31_t)0x5c4be5b0, (q31_t)0xa7502943, (q31_t)0x5c3a7a05, (q31_t)0xa73e0ba5, + (q31_t)0x5c290acc, (q31_t)0xa72bf174, (q31_t)0x5c179806, (q31_t)0xa719daae, (q31_t)0x5c0621b2, (q31_t)0xa707c757, (q31_t)0x5bf4a7d2, (q31_t)0xa6f5b76d, + (q31_t)0x5be32a67, (q31_t)0xa6e3aaf2, (q31_t)0x5bd1a971, (q31_t)0xa6d1a1e7, (q31_t)0x5bc024f0, (q31_t)0xa6bf9c4b, (q31_t)0x5bae9ce7, (q31_t)0xa6ad9a21, + (q31_t)0x5b9d1154, (q31_t)0xa69b9b68, (q31_t)0x5b8b8239, (q31_t)0xa689a022, (q31_t)0x5b79ef96, (q31_t)0xa677a84e, (q31_t)0x5b68596d, (q31_t)0xa665b3ee, + (q31_t)0x5b56bfbd, (q31_t)0xa653c303, (q31_t)0x5b452288, (q31_t)0xa641d58c, (q31_t)0x5b3381ce, (q31_t)0xa62feb8b, (q31_t)0x5b21dd90, (q31_t)0xa61e0501, + (q31_t)0x5b1035cf, (q31_t)0xa60c21ee, (q31_t)0x5afe8a8b, (q31_t)0xa5fa4252, (q31_t)0x5aecdbc5, (q31_t)0xa5e8662f, (q31_t)0x5adb297d, (q31_t)0xa5d68d85, + (q31_t)0x5ac973b5, (q31_t)0xa5c4b855, (q31_t)0x5ab7ba6c, (q31_t)0xa5b2e6a0, (q31_t)0x5aa5fda5, (q31_t)0xa5a11866, (q31_t)0x5a943d5e, (q31_t)0xa58f4da8, + (q31_t)0x5a82799a, (q31_t)0xa57d8666, (q31_t)0x5a70b258, (q31_t)0xa56bc2a2, (q31_t)0x5a5ee79a, (q31_t)0xa55a025b, (q31_t)0x5a4d1960, (q31_t)0xa5484594, + (q31_t)0x5a3b47ab, (q31_t)0xa5368c4b, (q31_t)0x5a29727b, (q31_t)0xa524d683, (q31_t)0x5a1799d1, (q31_t)0xa513243b, (q31_t)0x5a05bdae, (q31_t)0xa5017575, + (q31_t)0x59f3de12, (q31_t)0xa4efca31, (q31_t)0x59e1faff, (q31_t)0xa4de2270, (q31_t)0x59d01475, (q31_t)0xa4cc7e32, (q31_t)0x59be2a74, (q31_t)0xa4badd78, + (q31_t)0x59ac3cfd, (q31_t)0xa4a94043, (q31_t)0x599a4c12, (q31_t)0xa497a693, (q31_t)0x598857b2, (q31_t)0xa486106a, (q31_t)0x59765fde, (q31_t)0xa4747dc7, + (q31_t)0x59646498, (q31_t)0xa462eeac, (q31_t)0x595265df, (q31_t)0xa4516319, (q31_t)0x594063b5, (q31_t)0xa43fdb10, (q31_t)0x592e5e19, (q31_t)0xa42e568f, + (q31_t)0x591c550e, (q31_t)0xa41cd599, (q31_t)0x590a4893, (q31_t)0xa40b582e, (q31_t)0x58f838a9, (q31_t)0xa3f9de4e, (q31_t)0x58e62552, (q31_t)0xa3e867fa, + (q31_t)0x58d40e8c, (q31_t)0xa3d6f534, (q31_t)0x58c1f45b, (q31_t)0xa3c585fb, (q31_t)0x58afd6bd, (q31_t)0xa3b41a50, (q31_t)0x589db5b3, (q31_t)0xa3a2b234, + (q31_t)0x588b9140, (q31_t)0xa3914da8, (q31_t)0x58796962, (q31_t)0xa37fecac, (q31_t)0x58673e1b, (q31_t)0xa36e8f41, (q31_t)0x58550f6c, (q31_t)0xa35d3567, + (q31_t)0x5842dd54, (q31_t)0xa34bdf20, (q31_t)0x5830a7d6, (q31_t)0xa33a8c6c, (q31_t)0x581e6ef1, (q31_t)0xa3293d4b, (q31_t)0x580c32a7, (q31_t)0xa317f1bf, + (q31_t)0x57f9f2f8, (q31_t)0xa306a9c8, (q31_t)0x57e7afe4, (q31_t)0xa2f56566, (q31_t)0x57d5696d, (q31_t)0xa2e4249b, (q31_t)0x57c31f92, (q31_t)0xa2d2e766, + (q31_t)0x57b0d256, (q31_t)0xa2c1adc9, (q31_t)0x579e81b8, (q31_t)0xa2b077c5, (q31_t)0x578c2dba, (q31_t)0xa29f4559, (q31_t)0x5779d65b, (q31_t)0xa28e1687, + (q31_t)0x57677b9d, (q31_t)0xa27ceb4f, (q31_t)0x57551d80, (q31_t)0xa26bc3b2, (q31_t)0x5742bc06, (q31_t)0xa25a9fb1, (q31_t)0x5730572e, (q31_t)0xa2497f4c, + (q31_t)0x571deefa, (q31_t)0xa2386284, (q31_t)0x570b8369, (q31_t)0xa2274959, (q31_t)0x56f9147e, (q31_t)0xa21633cd, (q31_t)0x56e6a239, (q31_t)0xa20521e0, + (q31_t)0x56d42c99, (q31_t)0xa1f41392, (q31_t)0x56c1b3a1, (q31_t)0xa1e308e4, (q31_t)0x56af3750, (q31_t)0xa1d201d7, (q31_t)0x569cb7a8, (q31_t)0xa1c0fe6c, + (q31_t)0x568a34a9, (q31_t)0xa1affea3, (q31_t)0x5677ae54, (q31_t)0xa19f027c, (q31_t)0x566524aa, (q31_t)0xa18e09fa, (q31_t)0x565297ab, (q31_t)0xa17d151b, + (q31_t)0x56400758, (q31_t)0xa16c23e1, (q31_t)0x562d73b2, (q31_t)0xa15b364d, (q31_t)0x561adcb9, (q31_t)0xa14a4c5e, (q31_t)0x5608426e, (q31_t)0xa1396617, + (q31_t)0x55f5a4d2, (q31_t)0xa1288376, (q31_t)0x55e303e6, (q31_t)0xa117a47e, (q31_t)0x55d05faa, (q31_t)0xa106c92f, (q31_t)0x55bdb81f, (q31_t)0xa0f5f189, + (q31_t)0x55ab0d46, (q31_t)0xa0e51d8c, (q31_t)0x55985f20, (q31_t)0xa0d44d3b, (q31_t)0x5585adad, (q31_t)0xa0c38095, (q31_t)0x5572f8ed, (q31_t)0xa0b2b79b, + (q31_t)0x556040e2, (q31_t)0xa0a1f24d, (q31_t)0x554d858d, (q31_t)0xa09130ad, (q31_t)0x553ac6ee, (q31_t)0xa08072ba, (q31_t)0x55280505, (q31_t)0xa06fb876, + (q31_t)0x55153fd4, (q31_t)0xa05f01e1, (q31_t)0x5502775c, (q31_t)0xa04e4efc, (q31_t)0x54efab9c, (q31_t)0xa03d9fc8, (q31_t)0x54dcdc96, (q31_t)0xa02cf444, + (q31_t)0x54ca0a4b, (q31_t)0xa01c4c73, (q31_t)0x54b734ba, (q31_t)0xa00ba853, (q31_t)0x54a45be6, (q31_t)0x9ffb07e7, (q31_t)0x54917fce, (q31_t)0x9fea6b2f, + (q31_t)0x547ea073, (q31_t)0x9fd9d22a, (q31_t)0x546bbdd7, (q31_t)0x9fc93cdb, (q31_t)0x5458d7f9, (q31_t)0x9fb8ab41, (q31_t)0x5445eedb, (q31_t)0x9fa81d5e, + (q31_t)0x5433027d, (q31_t)0x9f979331, (q31_t)0x542012e1, (q31_t)0x9f870cbc, (q31_t)0x540d2005, (q31_t)0x9f7689ff, (q31_t)0x53fa29ed, (q31_t)0x9f660afb, + (q31_t)0x53e73097, (q31_t)0x9f558fb0, (q31_t)0x53d43406, (q31_t)0x9f45181f, (q31_t)0x53c13439, (q31_t)0x9f34a449, (q31_t)0x53ae3131, (q31_t)0x9f24342f, + (q31_t)0x539b2af0, (q31_t)0x9f13c7d0, (q31_t)0x53882175, (q31_t)0x9f035f2e, (q31_t)0x537514c2, (q31_t)0x9ef2fa49, (q31_t)0x536204d7, (q31_t)0x9ee29922, + (q31_t)0x534ef1b5, (q31_t)0x9ed23bb9, (q31_t)0x533bdb5d, (q31_t)0x9ec1e210, (q31_t)0x5328c1d0, (q31_t)0x9eb18c26, (q31_t)0x5315a50e, (q31_t)0x9ea139fd, + (q31_t)0x53028518, (q31_t)0x9e90eb94, (q31_t)0x52ef61ee, (q31_t)0x9e80a0ee, (q31_t)0x52dc3b92, (q31_t)0x9e705a09, (q31_t)0x52c91204, (q31_t)0x9e6016e8, + (q31_t)0x52b5e546, (q31_t)0x9e4fd78a, (q31_t)0x52a2b556, (q31_t)0x9e3f9bf0, (q31_t)0x528f8238, (q31_t)0x9e2f641b, (q31_t)0x527c4bea, (q31_t)0x9e1f300b, + (q31_t)0x5269126e, (q31_t)0x9e0effc1, (q31_t)0x5255d5c5, (q31_t)0x9dfed33e, (q31_t)0x524295f0, (q31_t)0x9deeaa82, (q31_t)0x522f52ee, (q31_t)0x9dde858e, + (q31_t)0x521c0cc2, (q31_t)0x9dce6463, (q31_t)0x5208c36a, (q31_t)0x9dbe4701, (q31_t)0x51f576ea, (q31_t)0x9dae2d68, (q31_t)0x51e22740, (q31_t)0x9d9e179a, + (q31_t)0x51ced46e, (q31_t)0x9d8e0597, (q31_t)0x51bb7e75, (q31_t)0x9d7df75f, (q31_t)0x51a82555, (q31_t)0x9d6decf4, (q31_t)0x5194c910, (q31_t)0x9d5de656, + (q31_t)0x518169a5, (q31_t)0x9d4de385, (q31_t)0x516e0715, (q31_t)0x9d3de482, (q31_t)0x515aa162, (q31_t)0x9d2de94d, (q31_t)0x5147388c, (q31_t)0x9d1df1e9, + (q31_t)0x5133cc94, (q31_t)0x9d0dfe54, (q31_t)0x51205d7b, (q31_t)0x9cfe0e8f, (q31_t)0x510ceb40, (q31_t)0x9cee229c, (q31_t)0x50f975e6, (q31_t)0x9cde3a7b, + (q31_t)0x50e5fd6d, (q31_t)0x9cce562c, (q31_t)0x50d281d5, (q31_t)0x9cbe75b0, (q31_t)0x50bf031f, (q31_t)0x9cae9907, (q31_t)0x50ab814d, (q31_t)0x9c9ec033, + (q31_t)0x5097fc5e, (q31_t)0x9c8eeb34, (q31_t)0x50847454, (q31_t)0x9c7f1a0a, (q31_t)0x5070e92f, (q31_t)0x9c6f4cb6, (q31_t)0x505d5af1, (q31_t)0x9c5f8339, + (q31_t)0x5049c999, (q31_t)0x9c4fbd93, (q31_t)0x50363529, (q31_t)0x9c3ffbc5, (q31_t)0x50229da1, (q31_t)0x9c303dcf, (q31_t)0x500f0302, (q31_t)0x9c2083b3, + (q31_t)0x4ffb654d, (q31_t)0x9c10cd70, (q31_t)0x4fe7c483, (q31_t)0x9c011b08, (q31_t)0x4fd420a4, (q31_t)0x9bf16c7a, (q31_t)0x4fc079b1, (q31_t)0x9be1c1c8, + (q31_t)0x4faccfab, (q31_t)0x9bd21af3, (q31_t)0x4f992293, (q31_t)0x9bc277fa, (q31_t)0x4f857269, (q31_t)0x9bb2d8de, (q31_t)0x4f71bf2e, (q31_t)0x9ba33da0, + (q31_t)0x4f5e08e3, (q31_t)0x9b93a641, (q31_t)0x4f4a4f89, (q31_t)0x9b8412c1, (q31_t)0x4f369320, (q31_t)0x9b748320, (q31_t)0x4f22d3aa, (q31_t)0x9b64f760, + (q31_t)0x4f0f1126, (q31_t)0x9b556f81, (q31_t)0x4efb4b96, (q31_t)0x9b45eb83, (q31_t)0x4ee782fb, (q31_t)0x9b366b68, (q31_t)0x4ed3b755, (q31_t)0x9b26ef2f, + (q31_t)0x4ebfe8a5, (q31_t)0x9b1776da, (q31_t)0x4eac16eb, (q31_t)0x9b080268, (q31_t)0x4e984229, (q31_t)0x9af891db, (q31_t)0x4e846a60, (q31_t)0x9ae92533, + (q31_t)0x4e708f8f, (q31_t)0x9ad9bc71, (q31_t)0x4e5cb1b9, (q31_t)0x9aca5795, (q31_t)0x4e48d0dd, (q31_t)0x9abaf6a1, (q31_t)0x4e34ecfc, (q31_t)0x9aab9993, + (q31_t)0x4e210617, (q31_t)0x9a9c406e, (q31_t)0x4e0d1c30, (q31_t)0x9a8ceb31, (q31_t)0x4df92f46, (q31_t)0x9a7d99de, (q31_t)0x4de53f5a, (q31_t)0x9a6e4c74, + (q31_t)0x4dd14c6e, (q31_t)0x9a5f02f5, (q31_t)0x4dbd5682, (q31_t)0x9a4fbd61, (q31_t)0x4da95d96, (q31_t)0x9a407bb9, (q31_t)0x4d9561ac, (q31_t)0x9a313dfc, + (q31_t)0x4d8162c4, (q31_t)0x9a22042d, (q31_t)0x4d6d60df, (q31_t)0x9a12ce4b, (q31_t)0x4d595bfe, (q31_t)0x9a039c57, (q31_t)0x4d455422, (q31_t)0x99f46e51, + (q31_t)0x4d31494b, (q31_t)0x99e5443b, (q31_t)0x4d1d3b7a, (q31_t)0x99d61e14, (q31_t)0x4d092ab0, (q31_t)0x99c6fbde, (q31_t)0x4cf516ee, (q31_t)0x99b7dd99, + (q31_t)0x4ce10034, (q31_t)0x99a8c345, (q31_t)0x4ccce684, (q31_t)0x9999ace3, (q31_t)0x4cb8c9dd, (q31_t)0x998a9a74, (q31_t)0x4ca4aa41, (q31_t)0x997b8bf8, + (q31_t)0x4c9087b1, (q31_t)0x996c816f, (q31_t)0x4c7c622d, (q31_t)0x995d7adc, (q31_t)0x4c6839b7, (q31_t)0x994e783d, (q31_t)0x4c540e4e, (q31_t)0x993f7993, + (q31_t)0x4c3fdff4, (q31_t)0x99307ee0, (q31_t)0x4c2baea9, (q31_t)0x99218824, (q31_t)0x4c177a6e, (q31_t)0x9912955f, (q31_t)0x4c034345, (q31_t)0x9903a691, + (q31_t)0x4bef092d, (q31_t)0x98f4bbbc, (q31_t)0x4bdacc28, (q31_t)0x98e5d4e0, (q31_t)0x4bc68c36, (q31_t)0x98d6f1fe, (q31_t)0x4bb24958, (q31_t)0x98c81316, + (q31_t)0x4b9e0390, (q31_t)0x98b93828, (q31_t)0x4b89badd, (q31_t)0x98aa6136, (q31_t)0x4b756f40, (q31_t)0x989b8e40, (q31_t)0x4b6120bb, (q31_t)0x988cbf46, + (q31_t)0x4b4ccf4d, (q31_t)0x987df449, (q31_t)0x4b387af9, (q31_t)0x986f2d4a, (q31_t)0x4b2423be, (q31_t)0x98606a49, (q31_t)0x4b0fc99d, (q31_t)0x9851ab46, + (q31_t)0x4afb6c98, (q31_t)0x9842f043, (q31_t)0x4ae70caf, (q31_t)0x98343940, (q31_t)0x4ad2a9e2, (q31_t)0x9825863d, (q31_t)0x4abe4433, (q31_t)0x9816d73b, + (q31_t)0x4aa9dba2, (q31_t)0x98082c3b, (q31_t)0x4a957030, (q31_t)0x97f9853d, (q31_t)0x4a8101de, (q31_t)0x97eae242, (q31_t)0x4a6c90ad, (q31_t)0x97dc4349, + (q31_t)0x4a581c9e, (q31_t)0x97cda855, (q31_t)0x4a43a5b0, (q31_t)0x97bf1165, (q31_t)0x4a2f2be6, (q31_t)0x97b07e7a, (q31_t)0x4a1aaf3f, (q31_t)0x97a1ef94, + (q31_t)0x4a062fbd, (q31_t)0x979364b5, (q31_t)0x49f1ad61, (q31_t)0x9784dddc, (q31_t)0x49dd282a, (q31_t)0x97765b0a, (q31_t)0x49c8a01b, (q31_t)0x9767dc41, + (q31_t)0x49b41533, (q31_t)0x9759617f, (q31_t)0x499f8774, (q31_t)0x974aeac6, (q31_t)0x498af6df, (q31_t)0x973c7817, (q31_t)0x49766373, (q31_t)0x972e0971, + (q31_t)0x4961cd33, (q31_t)0x971f9ed7, (q31_t)0x494d341e, (q31_t)0x97113847, (q31_t)0x49389836, (q31_t)0x9702d5c3, (q31_t)0x4923f97b, (q31_t)0x96f4774b, + (q31_t)0x490f57ee, (q31_t)0x96e61ce0, (q31_t)0x48fab391, (q31_t)0x96d7c682, (q31_t)0x48e60c62, (q31_t)0x96c97432, (q31_t)0x48d16265, (q31_t)0x96bb25f0, + (q31_t)0x48bcb599, (q31_t)0x96acdbbe, (q31_t)0x48a805ff, (q31_t)0x969e959b, (q31_t)0x48935397, (q31_t)0x96905388, (q31_t)0x487e9e64, (q31_t)0x96821585, + (q31_t)0x4869e665, (q31_t)0x9673db94, (q31_t)0x48552b9b, (q31_t)0x9665a5b4, (q31_t)0x48406e08, (q31_t)0x965773e7, (q31_t)0x482badab, (q31_t)0x9649462d, + (q31_t)0x4816ea86, (q31_t)0x963b1c86, (q31_t)0x48022499, (q31_t)0x962cf6f2, (q31_t)0x47ed5be6, (q31_t)0x961ed574, (q31_t)0x47d8906d, (q31_t)0x9610b80a, + (q31_t)0x47c3c22f, (q31_t)0x96029eb6, (q31_t)0x47aef12c, (q31_t)0x95f48977, (q31_t)0x479a1d67, (q31_t)0x95e67850, (q31_t)0x478546de, (q31_t)0x95d86b3f, + (q31_t)0x47706d93, (q31_t)0x95ca6247, (q31_t)0x475b9188, (q31_t)0x95bc5d66, (q31_t)0x4746b2bc, (q31_t)0x95ae5c9f, (q31_t)0x4731d131, (q31_t)0x95a05ff0, + (q31_t)0x471cece7, (q31_t)0x9592675c, (q31_t)0x470805df, (q31_t)0x958472e2, (q31_t)0x46f31c1a, (q31_t)0x95768283, (q31_t)0x46de2f99, (q31_t)0x9568963f, + (q31_t)0x46c9405c, (q31_t)0x955aae17, (q31_t)0x46b44e65, (q31_t)0x954cca0c, (q31_t)0x469f59b4, (q31_t)0x953eea1e, (q31_t)0x468a624a, (q31_t)0x95310e4e, + (q31_t)0x46756828, (q31_t)0x9523369c, (q31_t)0x46606b4e, (q31_t)0x95156308, (q31_t)0x464b6bbe, (q31_t)0x95079394, (q31_t)0x46366978, (q31_t)0x94f9c83f, + (q31_t)0x4621647d, (q31_t)0x94ec010b, (q31_t)0x460c5cce, (q31_t)0x94de3df8, (q31_t)0x45f7526b, (q31_t)0x94d07f05, (q31_t)0x45e24556, (q31_t)0x94c2c435, + (q31_t)0x45cd358f, (q31_t)0x94b50d87, (q31_t)0x45b82318, (q31_t)0x94a75afd, (q31_t)0x45a30df0, (q31_t)0x9499ac95, (q31_t)0x458df619, (q31_t)0x948c0252, + (q31_t)0x4578db93, (q31_t)0x947e5c33, (q31_t)0x4563be60, (q31_t)0x9470ba39, (q31_t)0x454e9e80, (q31_t)0x94631c65, (q31_t)0x45397bf4, (q31_t)0x945582b7, + (q31_t)0x452456bd, (q31_t)0x9447ed2f, (q31_t)0x450f2edb, (q31_t)0x943a5bcf, (q31_t)0x44fa0450, (q31_t)0x942cce96, (q31_t)0x44e4d71c, (q31_t)0x941f4585, + (q31_t)0x44cfa740, (q31_t)0x9411c09e, (q31_t)0x44ba74bd, (q31_t)0x94043fdf, (q31_t)0x44a53f93, (q31_t)0x93f6c34a, (q31_t)0x449007c4, (q31_t)0x93e94adf, + (q31_t)0x447acd50, (q31_t)0x93dbd6a0, (q31_t)0x44659039, (q31_t)0x93ce668b, (q31_t)0x4450507e, (q31_t)0x93c0faa3, (q31_t)0x443b0e21, (q31_t)0x93b392e6, + (q31_t)0x4425c923, (q31_t)0x93a62f57, (q31_t)0x44108184, (q31_t)0x9398cff5, (q31_t)0x43fb3746, (q31_t)0x938b74c1, (q31_t)0x43e5ea68, (q31_t)0x937e1dbb, + (q31_t)0x43d09aed, (q31_t)0x9370cae4, (q31_t)0x43bb48d4, (q31_t)0x93637c3d, (q31_t)0x43a5f41e, (q31_t)0x935631c5, (q31_t)0x43909ccd, (q31_t)0x9348eb7e, + (q31_t)0x437b42e1, (q31_t)0x933ba968, (q31_t)0x4365e65b, (q31_t)0x932e6b84, (q31_t)0x4350873c, (q31_t)0x932131d1, (q31_t)0x433b2585, (q31_t)0x9313fc51, + (q31_t)0x4325c135, (q31_t)0x9306cb04, (q31_t)0x43105a50, (q31_t)0x92f99deb, (q31_t)0x42faf0d4, (q31_t)0x92ec7505, (q31_t)0x42e584c3, (q31_t)0x92df5054, + (q31_t)0x42d0161e, (q31_t)0x92d22fd9, (q31_t)0x42baa4e6, (q31_t)0x92c51392, (q31_t)0x42a5311b, (q31_t)0x92b7fb82, (q31_t)0x428fbabe, (q31_t)0x92aae7a8, + (q31_t)0x427a41d0, (q31_t)0x929dd806, (q31_t)0x4264c653, (q31_t)0x9290cc9b, (q31_t)0x424f4845, (q31_t)0x9283c568, (q31_t)0x4239c7aa, (q31_t)0x9276c26d, + (q31_t)0x42244481, (q31_t)0x9269c3ac, (q31_t)0x420ebecb, (q31_t)0x925cc924, (q31_t)0x41f93689, (q31_t)0x924fd2d7, (q31_t)0x41e3abbc, (q31_t)0x9242e0c4, + (q31_t)0x41ce1e65, (q31_t)0x9235f2ec, (q31_t)0x41b88e84, (q31_t)0x9229094f, (q31_t)0x41a2fc1a, (q31_t)0x921c23ef, (q31_t)0x418d6729, (q31_t)0x920f42cb, + (q31_t)0x4177cfb1, (q31_t)0x920265e4, (q31_t)0x416235b2, (q31_t)0x91f58d3b, (q31_t)0x414c992f, (q31_t)0x91e8b8d0, (q31_t)0x4136fa27, (q31_t)0x91dbe8a4, + (q31_t)0x4121589b, (q31_t)0x91cf1cb6, (q31_t)0x410bb48c, (q31_t)0x91c25508, (q31_t)0x40f60dfb, (q31_t)0x91b5919a, (q31_t)0x40e064ea, (q31_t)0x91a8d26d, + (q31_t)0x40cab958, (q31_t)0x919c1781, (q31_t)0x40b50b46, (q31_t)0x918f60d6, (q31_t)0x409f5ab6, (q31_t)0x9182ae6d, (q31_t)0x4089a7a8, (q31_t)0x91760047, + (q31_t)0x4073f21d, (q31_t)0x91695663, (q31_t)0x405e3a16, (q31_t)0x915cb0c3, (q31_t)0x40487f94, (q31_t)0x91500f67, (q31_t)0x4032c297, (q31_t)0x91437250, + (q31_t)0x401d0321, (q31_t)0x9136d97d, (q31_t)0x40074132, (q31_t)0x912a44f0, (q31_t)0x3ff17cca, (q31_t)0x911db4a9, (q31_t)0x3fdbb5ec, (q31_t)0x911128a8, + (q31_t)0x3fc5ec98, (q31_t)0x9104a0ee, (q31_t)0x3fb020ce, (q31_t)0x90f81d7b, (q31_t)0x3f9a5290, (q31_t)0x90eb9e50, (q31_t)0x3f8481dd, (q31_t)0x90df236e, + (q31_t)0x3f6eaeb8, (q31_t)0x90d2acd4, (q31_t)0x3f58d921, (q31_t)0x90c63a83, (q31_t)0x3f430119, (q31_t)0x90b9cc7d, (q31_t)0x3f2d26a0, (q31_t)0x90ad62c0, + (q31_t)0x3f1749b8, (q31_t)0x90a0fd4e, (q31_t)0x3f016a61, (q31_t)0x90949c28, (q31_t)0x3eeb889c, (q31_t)0x90883f4d, (q31_t)0x3ed5a46b, (q31_t)0x907be6be, + (q31_t)0x3ebfbdcd, (q31_t)0x906f927c, (q31_t)0x3ea9d4c3, (q31_t)0x90634287, (q31_t)0x3e93e950, (q31_t)0x9056f6df, (q31_t)0x3e7dfb73, (q31_t)0x904aaf86, + (q31_t)0x3e680b2c, (q31_t)0x903e6c7b, (q31_t)0x3e52187f, (q31_t)0x90322dbf, (q31_t)0x3e3c2369, (q31_t)0x9025f352, (q31_t)0x3e262bee, (q31_t)0x9019bd36, + (q31_t)0x3e10320d, (q31_t)0x900d8b69, (q31_t)0x3dfa35c8, (q31_t)0x90015dee, (q31_t)0x3de4371f, (q31_t)0x8ff534c4, (q31_t)0x3dce3614, (q31_t)0x8fe90fec, + (q31_t)0x3db832a6, (q31_t)0x8fdcef66, (q31_t)0x3da22cd7, (q31_t)0x8fd0d333, (q31_t)0x3d8c24a8, (q31_t)0x8fc4bb53, (q31_t)0x3d761a19, (q31_t)0x8fb8a7c7, + (q31_t)0x3d600d2c, (q31_t)0x8fac988f, (q31_t)0x3d49fde1, (q31_t)0x8fa08dab, (q31_t)0x3d33ec39, (q31_t)0x8f94871d, (q31_t)0x3d1dd835, (q31_t)0x8f8884e4, + (q31_t)0x3d07c1d6, (q31_t)0x8f7c8701, (q31_t)0x3cf1a91c, (q31_t)0x8f708d75, (q31_t)0x3cdb8e09, (q31_t)0x8f649840, (q31_t)0x3cc5709e, (q31_t)0x8f58a761, + (q31_t)0x3caf50da, (q31_t)0x8f4cbadb, (q31_t)0x3c992ec0, (q31_t)0x8f40d2ad, (q31_t)0x3c830a50, (q31_t)0x8f34eed8, (q31_t)0x3c6ce38a, (q31_t)0x8f290f5c, + (q31_t)0x3c56ba70, (q31_t)0x8f1d343a, (q31_t)0x3c408f03, (q31_t)0x8f115d72, (q31_t)0x3c2a6142, (q31_t)0x8f058b04, (q31_t)0x3c143130, (q31_t)0x8ef9bcf2, + (q31_t)0x3bfdfecd, (q31_t)0x8eedf33b, (q31_t)0x3be7ca1a, (q31_t)0x8ee22de0, (q31_t)0x3bd19318, (q31_t)0x8ed66ce1, (q31_t)0x3bbb59c7, (q31_t)0x8ecab040, + (q31_t)0x3ba51e29, (q31_t)0x8ebef7fb, (q31_t)0x3b8ee03e, (q31_t)0x8eb34415, (q31_t)0x3b78a007, (q31_t)0x8ea7948c, (q31_t)0x3b625d86, (q31_t)0x8e9be963, + (q31_t)0x3b4c18ba, (q31_t)0x8e904298, (q31_t)0x3b35d1a5, (q31_t)0x8e84a02d, (q31_t)0x3b1f8848, (q31_t)0x8e790222, (q31_t)0x3b093ca3, (q31_t)0x8e6d6877, + (q31_t)0x3af2eeb7, (q31_t)0x8e61d32e, (q31_t)0x3adc9e86, (q31_t)0x8e564246, (q31_t)0x3ac64c0f, (q31_t)0x8e4ab5bf, (q31_t)0x3aaff755, (q31_t)0x8e3f2d9b, + (q31_t)0x3a99a057, (q31_t)0x8e33a9da, (q31_t)0x3a834717, (q31_t)0x8e282a7b, (q31_t)0x3a6ceb96, (q31_t)0x8e1caf80, (q31_t)0x3a568dd4, (q31_t)0x8e1138ea, + (q31_t)0x3a402dd2, (q31_t)0x8e05c6b7, (q31_t)0x3a29cb91, (q31_t)0x8dfa58ea, (q31_t)0x3a136712, (q31_t)0x8deeef82, (q31_t)0x39fd0056, (q31_t)0x8de38a80, + (q31_t)0x39e6975e, (q31_t)0x8dd829e4, (q31_t)0x39d02c2a, (q31_t)0x8dcccdaf, (q31_t)0x39b9bebc, (q31_t)0x8dc175e0, (q31_t)0x39a34f13, (q31_t)0x8db6227a, + (q31_t)0x398cdd32, (q31_t)0x8daad37b, (q31_t)0x39766919, (q31_t)0x8d9f88e5, (q31_t)0x395ff2c9, (q31_t)0x8d9442b8, (q31_t)0x39497a43, (q31_t)0x8d8900f3, + (q31_t)0x3932ff87, (q31_t)0x8d7dc399, (q31_t)0x391c8297, (q31_t)0x8d728aa9, (q31_t)0x39060373, (q31_t)0x8d675623, (q31_t)0x38ef821c, (q31_t)0x8d5c2609, + (q31_t)0x38d8fe93, (q31_t)0x8d50fa59, (q31_t)0x38c278d9, (q31_t)0x8d45d316, (q31_t)0x38abf0ef, (q31_t)0x8d3ab03f, (q31_t)0x389566d6, (q31_t)0x8d2f91d5, + (q31_t)0x387eda8e, (q31_t)0x8d2477d8, (q31_t)0x38684c19, (q31_t)0x8d196249, (q31_t)0x3851bb77, (q31_t)0x8d0e5127, (q31_t)0x383b28a9, (q31_t)0x8d034474, + (q31_t)0x382493b0, (q31_t)0x8cf83c30, (q31_t)0x380dfc8d, (q31_t)0x8ced385b, (q31_t)0x37f76341, (q31_t)0x8ce238f6, (q31_t)0x37e0c7cc, (q31_t)0x8cd73e01, + (q31_t)0x37ca2a30, (q31_t)0x8ccc477d, (q31_t)0x37b38a6d, (q31_t)0x8cc1556a, (q31_t)0x379ce885, (q31_t)0x8cb667c8, (q31_t)0x37864477, (q31_t)0x8cab7e98, + (q31_t)0x376f9e46, (q31_t)0x8ca099da, (q31_t)0x3758f5f2, (q31_t)0x8c95b98f, (q31_t)0x37424b7b, (q31_t)0x8c8addb7, (q31_t)0x372b9ee3, (q31_t)0x8c800652, + (q31_t)0x3714f02a, (q31_t)0x8c753362, (q31_t)0x36fe3f52, (q31_t)0x8c6a64e5, (q31_t)0x36e78c5b, (q31_t)0x8c5f9ade, (q31_t)0x36d0d746, (q31_t)0x8c54d54c, + (q31_t)0x36ba2014, (q31_t)0x8c4a142f, (q31_t)0x36a366c6, (q31_t)0x8c3f5788, (q31_t)0x368cab5c, (q31_t)0x8c349f58, (q31_t)0x3675edd9, (q31_t)0x8c29eb9f, + (q31_t)0x365f2e3b, (q31_t)0x8c1f3c5d, (q31_t)0x36486c86, (q31_t)0x8c149192, (q31_t)0x3631a8b8, (q31_t)0x8c09eb40, (q31_t)0x361ae2d3, (q31_t)0x8bff4966, + (q31_t)0x36041ad9, (q31_t)0x8bf4ac05, (q31_t)0x35ed50c9, (q31_t)0x8bea131e, (q31_t)0x35d684a6, (q31_t)0x8bdf7eb0, (q31_t)0x35bfb66e, (q31_t)0x8bd4eebc, + (q31_t)0x35a8e625, (q31_t)0x8bca6343, (q31_t)0x359213c9, (q31_t)0x8bbfdc44, (q31_t)0x357b3f5d, (q31_t)0x8bb559c1, (q31_t)0x356468e2, (q31_t)0x8baadbba, + (q31_t)0x354d9057, (q31_t)0x8ba0622f, (q31_t)0x3536b5be, (q31_t)0x8b95ed21, (q31_t)0x351fd918, (q31_t)0x8b8b7c8f, (q31_t)0x3508fa66, (q31_t)0x8b81107b, + (q31_t)0x34f219a8, (q31_t)0x8b76a8e4, (q31_t)0x34db36df, (q31_t)0x8b6c45cc, (q31_t)0x34c4520d, (q31_t)0x8b61e733, (q31_t)0x34ad6b32, (q31_t)0x8b578d18, + (q31_t)0x34968250, (q31_t)0x8b4d377c, (q31_t)0x347f9766, (q31_t)0x8b42e661, (q31_t)0x3468aa76, (q31_t)0x8b3899c6, (q31_t)0x3451bb81, (q31_t)0x8b2e51ab, + (q31_t)0x343aca87, (q31_t)0x8b240e11, (q31_t)0x3423d78a, (q31_t)0x8b19cef8, (q31_t)0x340ce28b, (q31_t)0x8b0f9462, (q31_t)0x33f5eb89, (q31_t)0x8b055e4d, + (q31_t)0x33def287, (q31_t)0x8afb2cbb, (q31_t)0x33c7f785, (q31_t)0x8af0ffac, (q31_t)0x33b0fa84, (q31_t)0x8ae6d720, (q31_t)0x3399fb85, (q31_t)0x8adcb318, + (q31_t)0x3382fa88, (q31_t)0x8ad29394, (q31_t)0x336bf78f, (q31_t)0x8ac87894, (q31_t)0x3354f29b, (q31_t)0x8abe6219, (q31_t)0x333debab, (q31_t)0x8ab45024, + (q31_t)0x3326e2c3, (q31_t)0x8aaa42b4, (q31_t)0x330fd7e1, (q31_t)0x8aa039cb, (q31_t)0x32f8cb07, (q31_t)0x8a963567, (q31_t)0x32e1bc36, (q31_t)0x8a8c358b, + (q31_t)0x32caab6f, (q31_t)0x8a823a36, (q31_t)0x32b398b3, (q31_t)0x8a784368, (q31_t)0x329c8402, (q31_t)0x8a6e5123, (q31_t)0x32856d5e, (q31_t)0x8a646365, + (q31_t)0x326e54c7, (q31_t)0x8a5a7a31, (q31_t)0x32573a3f, (q31_t)0x8a509585, (q31_t)0x32401dc6, (q31_t)0x8a46b564, (q31_t)0x3228ff5c, (q31_t)0x8a3cd9cc, + (q31_t)0x3211df04, (q31_t)0x8a3302be, (q31_t)0x31fabcbd, (q31_t)0x8a29303b, (q31_t)0x31e39889, (q31_t)0x8a1f6243, (q31_t)0x31cc7269, (q31_t)0x8a1598d6, + (q31_t)0x31b54a5e, (q31_t)0x8a0bd3f5, (q31_t)0x319e2067, (q31_t)0x8a0213a0, (q31_t)0x3186f487, (q31_t)0x89f857d8, (q31_t)0x316fc6be, (q31_t)0x89eea09d, + (q31_t)0x3158970e, (q31_t)0x89e4edef, (q31_t)0x31416576, (q31_t)0x89db3fcf, (q31_t)0x312a31f8, (q31_t)0x89d1963c, (q31_t)0x3112fc95, (q31_t)0x89c7f138, + (q31_t)0x30fbc54d, (q31_t)0x89be50c3, (q31_t)0x30e48c22, (q31_t)0x89b4b4dd, (q31_t)0x30cd5115, (q31_t)0x89ab1d87, (q31_t)0x30b61426, (q31_t)0x89a18ac0, + (q31_t)0x309ed556, (q31_t)0x8997fc8a, (q31_t)0x308794a6, (q31_t)0x898e72e4, (q31_t)0x30705217, (q31_t)0x8984edcf, (q31_t)0x30590dab, (q31_t)0x897b6d4c, + (q31_t)0x3041c761, (q31_t)0x8971f15a, (q31_t)0x302a7f3a, (q31_t)0x896879fb, (q31_t)0x30133539, (q31_t)0x895f072e, (q31_t)0x2ffbe95d, (q31_t)0x895598f3, + (q31_t)0x2fe49ba7, (q31_t)0x894c2f4c, (q31_t)0x2fcd4c19, (q31_t)0x8942ca39, (q31_t)0x2fb5fab2, (q31_t)0x893969b9, (q31_t)0x2f9ea775, (q31_t)0x89300dce, + (q31_t)0x2f875262, (q31_t)0x8926b677, (q31_t)0x2f6ffb7a, (q31_t)0x891d63b5, (q31_t)0x2f58a2be, (q31_t)0x89141589, (q31_t)0x2f41482e, (q31_t)0x890acbf2, + (q31_t)0x2f29ebcc, (q31_t)0x890186f2, (q31_t)0x2f128d99, (q31_t)0x88f84687, (q31_t)0x2efb2d95, (q31_t)0x88ef0ab4, (q31_t)0x2ee3cbc1, (q31_t)0x88e5d378, + (q31_t)0x2ecc681e, (q31_t)0x88dca0d3, (q31_t)0x2eb502ae, (q31_t)0x88d372c6, (q31_t)0x2e9d9b70, (q31_t)0x88ca4951, (q31_t)0x2e863267, (q31_t)0x88c12475, + (q31_t)0x2e6ec792, (q31_t)0x88b80432, (q31_t)0x2e575af3, (q31_t)0x88aee888, (q31_t)0x2e3fec8b, (q31_t)0x88a5d177, (q31_t)0x2e287c5a, (q31_t)0x889cbf01, + (q31_t)0x2e110a62, (q31_t)0x8893b125, (q31_t)0x2df996a3, (q31_t)0x888aa7e3, (q31_t)0x2de2211e, (q31_t)0x8881a33d, (q31_t)0x2dcaa9d5, (q31_t)0x8878a332, + (q31_t)0x2db330c7, (q31_t)0x886fa7c2, (q31_t)0x2d9bb5f6, (q31_t)0x8866b0ef, (q31_t)0x2d843964, (q31_t)0x885dbeb8, (q31_t)0x2d6cbb10, (q31_t)0x8854d11e, + (q31_t)0x2d553afc, (q31_t)0x884be821, (q31_t)0x2d3db928, (q31_t)0x884303c1, (q31_t)0x2d263596, (q31_t)0x883a23ff, (q31_t)0x2d0eb046, (q31_t)0x883148db, + (q31_t)0x2cf72939, (q31_t)0x88287256, (q31_t)0x2cdfa071, (q31_t)0x881fa06f, (q31_t)0x2cc815ee, (q31_t)0x8816d327, (q31_t)0x2cb089b1, (q31_t)0x880e0a7f, + (q31_t)0x2c98fbba, (q31_t)0x88054677, (q31_t)0x2c816c0c, (q31_t)0x87fc870f, (q31_t)0x2c69daa6, (q31_t)0x87f3cc48, (q31_t)0x2c52478a, (q31_t)0x87eb1621, + (q31_t)0x2c3ab2b9, (q31_t)0x87e2649b, (q31_t)0x2c231c33, (q31_t)0x87d9b7b7, (q31_t)0x2c0b83fa, (q31_t)0x87d10f75, (q31_t)0x2bf3ea0d, (q31_t)0x87c86bd5, + (q31_t)0x2bdc4e6f, (q31_t)0x87bfccd7, (q31_t)0x2bc4b120, (q31_t)0x87b7327d, (q31_t)0x2bad1221, (q31_t)0x87ae9cc5, (q31_t)0x2b957173, (q31_t)0x87a60bb1, + (q31_t)0x2b7dcf17, (q31_t)0x879d7f41, (q31_t)0x2b662b0e, (q31_t)0x8794f774, (q31_t)0x2b4e8558, (q31_t)0x878c744d, (q31_t)0x2b36ddf7, (q31_t)0x8783f5ca, + (q31_t)0x2b1f34eb, (q31_t)0x877b7bec, (q31_t)0x2b078a36, (q31_t)0x877306b4, (q31_t)0x2aefddd8, (q31_t)0x876a9621, (q31_t)0x2ad82fd2, (q31_t)0x87622a35, + (q31_t)0x2ac08026, (q31_t)0x8759c2ef, (q31_t)0x2aa8ced3, (q31_t)0x87516050, (q31_t)0x2a911bdc, (q31_t)0x87490258, (q31_t)0x2a796740, (q31_t)0x8740a907, + (q31_t)0x2a61b101, (q31_t)0x8738545e, (q31_t)0x2a49f920, (q31_t)0x8730045d, (q31_t)0x2a323f9e, (q31_t)0x8727b905, (q31_t)0x2a1a847b, (q31_t)0x871f7255, + (q31_t)0x2a02c7b8, (q31_t)0x8717304e, (q31_t)0x29eb0957, (q31_t)0x870ef2f1, (q31_t)0x29d34958, (q31_t)0x8706ba3d, (q31_t)0x29bb87bc, (q31_t)0x86fe8633, + (q31_t)0x29a3c485, (q31_t)0x86f656d3, (q31_t)0x298bffb2, (q31_t)0x86ee2c1e, (q31_t)0x29743946, (q31_t)0x86e60614, (q31_t)0x295c7140, (q31_t)0x86dde4b5, + (q31_t)0x2944a7a2, (q31_t)0x86d5c802, (q31_t)0x292cdc6d, (q31_t)0x86cdaffa, (q31_t)0x29150fa1, (q31_t)0x86c59c9f, (q31_t)0x28fd4140, (q31_t)0x86bd8df0, + (q31_t)0x28e5714b, (q31_t)0x86b583ee, (q31_t)0x28cd9fc1, (q31_t)0x86ad7e99, (q31_t)0x28b5cca5, (q31_t)0x86a57df2, (q31_t)0x289df7f8, (q31_t)0x869d81f8, + (q31_t)0x288621b9, (q31_t)0x86958aac, (q31_t)0x286e49ea, (q31_t)0x868d980e, (q31_t)0x2856708d, (q31_t)0x8685aa20, (q31_t)0x283e95a1, (q31_t)0x867dc0e0, + (q31_t)0x2826b928, (q31_t)0x8675dc4f, (q31_t)0x280edb23, (q31_t)0x866dfc6e, (q31_t)0x27f6fb92, (q31_t)0x8666213c, (q31_t)0x27df1a77, (q31_t)0x865e4abb, + (q31_t)0x27c737d3, (q31_t)0x865678eb, (q31_t)0x27af53a6, (q31_t)0x864eabcb, (q31_t)0x27976df1, (q31_t)0x8646e35c, (q31_t)0x277f86b5, (q31_t)0x863f1f9e, + (q31_t)0x27679df4, (q31_t)0x86376092, (q31_t)0x274fb3ae, (q31_t)0x862fa638, (q31_t)0x2737c7e3, (q31_t)0x8627f091, (q31_t)0x271fda96, (q31_t)0x86203f9c, + (q31_t)0x2707ebc7, (q31_t)0x86189359, (q31_t)0x26effb76, (q31_t)0x8610ebca, (q31_t)0x26d809a5, (q31_t)0x860948ef, (q31_t)0x26c01655, (q31_t)0x8601aac7, + (q31_t)0x26a82186, (q31_t)0x85fa1153, (q31_t)0x26902b39, (q31_t)0x85f27c93, (q31_t)0x26783370, (q31_t)0x85eaec88, (q31_t)0x26603a2c, (q31_t)0x85e36132, + (q31_t)0x26483f6c, (q31_t)0x85dbda91, (q31_t)0x26304333, (q31_t)0x85d458a6, (q31_t)0x26184581, (q31_t)0x85ccdb70, (q31_t)0x26004657, (q31_t)0x85c562f1, + (q31_t)0x25e845b6, (q31_t)0x85bdef28, (q31_t)0x25d0439f, (q31_t)0x85b68015, (q31_t)0x25b84012, (q31_t)0x85af15b9, (q31_t)0x25a03b11, (q31_t)0x85a7b015, + (q31_t)0x2588349d, (q31_t)0x85a04f28, (q31_t)0x25702cb7, (q31_t)0x8598f2f3, (q31_t)0x2558235f, (q31_t)0x85919b76, (q31_t)0x25401896, (q31_t)0x858a48b1, + (q31_t)0x25280c5e, (q31_t)0x8582faa5, (q31_t)0x250ffeb7, (q31_t)0x857bb152, (q31_t)0x24f7efa2, (q31_t)0x85746cb8, (q31_t)0x24dfdf20, (q31_t)0x856d2cd7, + (q31_t)0x24c7cd33, (q31_t)0x8565f1b0, (q31_t)0x24afb9da, (q31_t)0x855ebb44, (q31_t)0x2497a517, (q31_t)0x85578991, (q31_t)0x247f8eec, (q31_t)0x85505c99, + (q31_t)0x24677758, (q31_t)0x8549345c, (q31_t)0x244f5e5c, (q31_t)0x854210db, (q31_t)0x243743fa, (q31_t)0x853af214, (q31_t)0x241f2833, (q31_t)0x8533d809, + (q31_t)0x24070b08, (q31_t)0x852cc2bb, (q31_t)0x23eeec78, (q31_t)0x8525b228, (q31_t)0x23d6cc87, (q31_t)0x851ea652, (q31_t)0x23beab33, (q31_t)0x85179f39, + (q31_t)0x23a6887f, (q31_t)0x85109cdd, (q31_t)0x238e646a, (q31_t)0x85099f3e, (q31_t)0x23763ef7, (q31_t)0x8502a65c, (q31_t)0x235e1826, (q31_t)0x84fbb239, + (q31_t)0x2345eff8, (q31_t)0x84f4c2d4, (q31_t)0x232dc66d, (q31_t)0x84edd82d, (q31_t)0x23159b88, (q31_t)0x84e6f244, (q31_t)0x22fd6f48, (q31_t)0x84e0111b, + (q31_t)0x22e541af, (q31_t)0x84d934b1, (q31_t)0x22cd12bd, (q31_t)0x84d25d06, (q31_t)0x22b4e274, (q31_t)0x84cb8a1b, (q31_t)0x229cb0d5, (q31_t)0x84c4bbf0, + (q31_t)0x22847de0, (q31_t)0x84bdf286, (q31_t)0x226c4996, (q31_t)0x84b72ddb, (q31_t)0x225413f8, (q31_t)0x84b06df2, (q31_t)0x223bdd08, (q31_t)0x84a9b2ca, + (q31_t)0x2223a4c5, (q31_t)0x84a2fc62, (q31_t)0x220b6b32, (q31_t)0x849c4abd, (q31_t)0x21f3304f, (q31_t)0x84959dd9, (q31_t)0x21daf41d, (q31_t)0x848ef5b7, + (q31_t)0x21c2b69c, (q31_t)0x84885258, (q31_t)0x21aa77cf, (q31_t)0x8481b3bb, (q31_t)0x219237b5, (q31_t)0x847b19e1, (q31_t)0x2179f64f, (q31_t)0x847484ca, + (q31_t)0x2161b3a0, (q31_t)0x846df477, (q31_t)0x21496fa7, (q31_t)0x846768e7, (q31_t)0x21312a65, (q31_t)0x8460e21a, (q31_t)0x2118e3dc, (q31_t)0x845a6012, + (q31_t)0x21009c0c, (q31_t)0x8453e2cf, (q31_t)0x20e852f6, (q31_t)0x844d6a50, (q31_t)0x20d0089c, (q31_t)0x8446f695, (q31_t)0x20b7bcfe, (q31_t)0x844087a0, + (q31_t)0x209f701c, (q31_t)0x843a1d70, (q31_t)0x208721f9, (q31_t)0x8433b806, (q31_t)0x206ed295, (q31_t)0x842d5762, (q31_t)0x205681f1, (q31_t)0x8426fb84, + (q31_t)0x203e300d, (q31_t)0x8420a46c, (q31_t)0x2025dcec, (q31_t)0x841a521a, (q31_t)0x200d888d, (q31_t)0x84140490, (q31_t)0x1ff532f2, (q31_t)0x840dbbcc, + (q31_t)0x1fdcdc1b, (q31_t)0x840777d0, (q31_t)0x1fc4840a, (q31_t)0x8401389b, (q31_t)0x1fac2abf, (q31_t)0x83fafe2e, (q31_t)0x1f93d03c, (q31_t)0x83f4c889, + (q31_t)0x1f7b7481, (q31_t)0x83ee97ad, (q31_t)0x1f63178f, (q31_t)0x83e86b99, (q31_t)0x1f4ab968, (q31_t)0x83e2444d, (q31_t)0x1f325a0b, (q31_t)0x83dc21cb, + (q31_t)0x1f19f97b, (q31_t)0x83d60412, (q31_t)0x1f0197b8, (q31_t)0x83cfeb22, (q31_t)0x1ee934c3, (q31_t)0x83c9d6fc, (q31_t)0x1ed0d09d, (q31_t)0x83c3c7a0, + (q31_t)0x1eb86b46, (q31_t)0x83bdbd0e, (q31_t)0x1ea004c1, (q31_t)0x83b7b746, (q31_t)0x1e879d0d, (q31_t)0x83b1b649, (q31_t)0x1e6f342c, (q31_t)0x83abba17, + (q31_t)0x1e56ca1e, (q31_t)0x83a5c2b0, (q31_t)0x1e3e5ee5, (q31_t)0x839fd014, (q31_t)0x1e25f282, (q31_t)0x8399e244, (q31_t)0x1e0d84f5, (q31_t)0x8393f940, + (q31_t)0x1df5163f, (q31_t)0x838e1507, (q31_t)0x1ddca662, (q31_t)0x8388359b, (q31_t)0x1dc4355e, (q31_t)0x83825afb, (q31_t)0x1dabc334, (q31_t)0x837c8528, + (q31_t)0x1d934fe5, (q31_t)0x8376b422, (q31_t)0x1d7adb73, (q31_t)0x8370e7e9, (q31_t)0x1d6265dd, (q31_t)0x836b207d, (q31_t)0x1d49ef26, (q31_t)0x83655ddf, + (q31_t)0x1d31774d, (q31_t)0x835fa00f, (q31_t)0x1d18fe54, (q31_t)0x8359e70d, (q31_t)0x1d00843d, (q31_t)0x835432d8, (q31_t)0x1ce80906, (q31_t)0x834e8373, + (q31_t)0x1ccf8cb3, (q31_t)0x8348d8dc, (q31_t)0x1cb70f43, (q31_t)0x83433314, (q31_t)0x1c9e90b8, (q31_t)0x833d921b, (q31_t)0x1c861113, (q31_t)0x8337f5f1, + (q31_t)0x1c6d9053, (q31_t)0x83325e97, (q31_t)0x1c550e7c, (q31_t)0x832ccc0d, (q31_t)0x1c3c8b8c, (q31_t)0x83273e52, (q31_t)0x1c240786, (q31_t)0x8321b568, + (q31_t)0x1c0b826a, (q31_t)0x831c314e, (q31_t)0x1bf2fc3a, (q31_t)0x8316b205, (q31_t)0x1bda74f6, (q31_t)0x8311378d, (q31_t)0x1bc1ec9e, (q31_t)0x830bc1e6, + (q31_t)0x1ba96335, (q31_t)0x83065110, (q31_t)0x1b90d8bb, (q31_t)0x8300e50b, (q31_t)0x1b784d30, (q31_t)0x82fb7dd8, (q31_t)0x1b5fc097, (q31_t)0x82f61b77, + (q31_t)0x1b4732ef, (q31_t)0x82f0bde8, (q31_t)0x1b2ea43a, (q31_t)0x82eb652b, (q31_t)0x1b161479, (q31_t)0x82e61141, (q31_t)0x1afd83ad, (q31_t)0x82e0c22a, + (q31_t)0x1ae4f1d6, (q31_t)0x82db77e5, (q31_t)0x1acc5ef6, (q31_t)0x82d63274, (q31_t)0x1ab3cb0d, (q31_t)0x82d0f1d5, (q31_t)0x1a9b361d, (q31_t)0x82cbb60b, + (q31_t)0x1a82a026, (q31_t)0x82c67f14, (q31_t)0x1a6a0929, (q31_t)0x82c14cf1, (q31_t)0x1a517128, (q31_t)0x82bc1fa2, (q31_t)0x1a38d823, (q31_t)0x82b6f727, + (q31_t)0x1a203e1b, (q31_t)0x82b1d381, (q31_t)0x1a07a311, (q31_t)0x82acb4b0, (q31_t)0x19ef0707, (q31_t)0x82a79ab3, (q31_t)0x19d669fc, (q31_t)0x82a2858c, + (q31_t)0x19bdcbf3, (q31_t)0x829d753a, (q31_t)0x19a52ceb, (q31_t)0x829869be, (q31_t)0x198c8ce7, (q31_t)0x82936317, (q31_t)0x1973ebe6, (q31_t)0x828e6146, + (q31_t)0x195b49ea, (q31_t)0x8289644b, (q31_t)0x1942a6f3, (q31_t)0x82846c26, (q31_t)0x192a0304, (q31_t)0x827f78d8, (q31_t)0x19115e1c, (q31_t)0x827a8a61, + (q31_t)0x18f8b83c, (q31_t)0x8275a0c0, (q31_t)0x18e01167, (q31_t)0x8270bbf7, (q31_t)0x18c7699b, (q31_t)0x826bdc04, (q31_t)0x18aec0db, (q31_t)0x826700e9, + (q31_t)0x18961728, (q31_t)0x82622aa6, (q31_t)0x187d6c82, (q31_t)0x825d593a, (q31_t)0x1864c0ea, (q31_t)0x82588ca7, (q31_t)0x184c1461, (q31_t)0x8253c4eb, + (q31_t)0x183366e9, (q31_t)0x824f0208, (q31_t)0x181ab881, (q31_t)0x824a43fe, (q31_t)0x1802092c, (q31_t)0x82458acc, (q31_t)0x17e958ea, (q31_t)0x8240d673, + (q31_t)0x17d0a7bc, (q31_t)0x823c26f3, (q31_t)0x17b7f5a3, (q31_t)0x82377c4c, (q31_t)0x179f429f, (q31_t)0x8232d67f, (q31_t)0x17868eb3, (q31_t)0x822e358b, + (q31_t)0x176dd9de, (q31_t)0x82299971, (q31_t)0x17552422, (q31_t)0x82250232, (q31_t)0x173c6d80, (q31_t)0x82206fcc, (q31_t)0x1723b5f9, (q31_t)0x821be240, + (q31_t)0x170afd8d, (q31_t)0x82175990, (q31_t)0x16f2443e, (q31_t)0x8212d5b9, (q31_t)0x16d98a0c, (q31_t)0x820e56be, (q31_t)0x16c0cef9, (q31_t)0x8209dc9e, + (q31_t)0x16a81305, (q31_t)0x82056758, (q31_t)0x168f5632, (q31_t)0x8200f6ef, (q31_t)0x1676987f, (q31_t)0x81fc8b60, (q31_t)0x165dd9f0, (q31_t)0x81f824ae, + (q31_t)0x16451a83, (q31_t)0x81f3c2d7, (q31_t)0x162c5a3b, (q31_t)0x81ef65dc, (q31_t)0x16139918, (q31_t)0x81eb0dbe, (q31_t)0x15fad71b, (q31_t)0x81e6ba7c, + (q31_t)0x15e21445, (q31_t)0x81e26c16, (q31_t)0x15c95097, (q31_t)0x81de228d, (q31_t)0x15b08c12, (q31_t)0x81d9dde1, (q31_t)0x1597c6b7, (q31_t)0x81d59e13, + (q31_t)0x157f0086, (q31_t)0x81d16321, (q31_t)0x15663982, (q31_t)0x81cd2d0c, (q31_t)0x154d71aa, (q31_t)0x81c8fbd6, (q31_t)0x1534a901, (q31_t)0x81c4cf7d, + (q31_t)0x151bdf86, (q31_t)0x81c0a801, (q31_t)0x1503153a, (q31_t)0x81bc8564, (q31_t)0x14ea4a1f, (q31_t)0x81b867a5, (q31_t)0x14d17e36, (q31_t)0x81b44ec4, + (q31_t)0x14b8b17f, (q31_t)0x81b03ac2, (q31_t)0x149fe3fc, (q31_t)0x81ac2b9e, (q31_t)0x148715ae, (q31_t)0x81a82159, (q31_t)0x146e4694, (q31_t)0x81a41bf4, + (q31_t)0x145576b1, (q31_t)0x81a01b6d, (q31_t)0x143ca605, (q31_t)0x819c1fc5, (q31_t)0x1423d492, (q31_t)0x819828fd, (q31_t)0x140b0258, (q31_t)0x81943715, + (q31_t)0x13f22f58, (q31_t)0x81904a0c, (q31_t)0x13d95b93, (q31_t)0x818c61e3, (q31_t)0x13c0870a, (q31_t)0x81887e9a, (q31_t)0x13a7b1bf, (q31_t)0x8184a032, + (q31_t)0x138edbb1, (q31_t)0x8180c6a9, (q31_t)0x137604e2, (q31_t)0x817cf201, (q31_t)0x135d2d53, (q31_t)0x8179223a, (q31_t)0x13445505, (q31_t)0x81755754, + (q31_t)0x132b7bf9, (q31_t)0x8171914e, (q31_t)0x1312a230, (q31_t)0x816dd02a, (q31_t)0x12f9c7aa, (q31_t)0x816a13e6, (q31_t)0x12e0ec6a, (q31_t)0x81665c84, + (q31_t)0x12c8106f, (q31_t)0x8162aa04, (q31_t)0x12af33ba, (q31_t)0x815efc65, (q31_t)0x1296564d, (q31_t)0x815b53a8, (q31_t)0x127d7829, (q31_t)0x8157afcd, + (q31_t)0x1264994e, (q31_t)0x815410d4, (q31_t)0x124bb9be, (q31_t)0x815076bd, (q31_t)0x1232d979, (q31_t)0x814ce188, (q31_t)0x1219f880, (q31_t)0x81495136, + (q31_t)0x120116d5, (q31_t)0x8145c5c7, (q31_t)0x11e83478, (q31_t)0x81423f3a, (q31_t)0x11cf516a, (q31_t)0x813ebd90, (q31_t)0x11b66dad, (q31_t)0x813b40ca, + (q31_t)0x119d8941, (q31_t)0x8137c8e6, (q31_t)0x1184a427, (q31_t)0x813455e6, (q31_t)0x116bbe60, (q31_t)0x8130e7c9, (q31_t)0x1152d7ed, (q31_t)0x812d7e8f, + (q31_t)0x1139f0cf, (q31_t)0x812a1a3a, (q31_t)0x11210907, (q31_t)0x8126bac8, (q31_t)0x11082096, (q31_t)0x8123603a, (q31_t)0x10ef377d, (q31_t)0x81200a90, + (q31_t)0x10d64dbd, (q31_t)0x811cb9ca, (q31_t)0x10bd6356, (q31_t)0x81196de9, (q31_t)0x10a4784b, (q31_t)0x811626ec, (q31_t)0x108b8c9b, (q31_t)0x8112e4d4, + (q31_t)0x1072a048, (q31_t)0x810fa7a0, (q31_t)0x1059b352, (q31_t)0x810c6f52, (q31_t)0x1040c5bb, (q31_t)0x81093be8, (q31_t)0x1027d784, (q31_t)0x81060d63, + (q31_t)0x100ee8ad, (q31_t)0x8102e3c4, (q31_t)0xff5f938, (q31_t)0x80ffbf0a, (q31_t)0xfdd0926, (q31_t)0x80fc9f35, (q31_t)0xfc41876, (q31_t)0x80f98446, + (q31_t)0xfab272b, (q31_t)0x80f66e3c, (q31_t)0xf923546, (q31_t)0x80f35d19, (q31_t)0xf7942c7, (q31_t)0x80f050db, (q31_t)0xf604faf, (q31_t)0x80ed4984, + (q31_t)0xf475bff, (q31_t)0x80ea4712, (q31_t)0xf2e67b8, (q31_t)0x80e74987, (q31_t)0xf1572dc, (q31_t)0x80e450e2, (q31_t)0xefc7d6b, (q31_t)0x80e15d24, + (q31_t)0xee38766, (q31_t)0x80de6e4c, (q31_t)0xeca90ce, (q31_t)0x80db845b, (q31_t)0xeb199a4, (q31_t)0x80d89f51, (q31_t)0xe98a1e9, (q31_t)0x80d5bf2e, + (q31_t)0xe7fa99e, (q31_t)0x80d2e3f2, (q31_t)0xe66b0c3, (q31_t)0x80d00d9d, (q31_t)0xe4db75b, (q31_t)0x80cd3c2f, (q31_t)0xe34bd66, (q31_t)0x80ca6fa9, + (q31_t)0xe1bc2e4, (q31_t)0x80c7a80a, (q31_t)0xe02c7d7, (q31_t)0x80c4e553, (q31_t)0xde9cc40, (q31_t)0x80c22784, (q31_t)0xdd0d01f, (q31_t)0x80bf6e9c, + (q31_t)0xdb7d376, (q31_t)0x80bcba9d, (q31_t)0xd9ed646, (q31_t)0x80ba0b85, (q31_t)0xd85d88f, (q31_t)0x80b76156, (q31_t)0xd6cda53, (q31_t)0x80b4bc0e, + (q31_t)0xd53db92, (q31_t)0x80b21baf, (q31_t)0xd3adc4e, (q31_t)0x80af8039, (q31_t)0xd21dc87, (q31_t)0x80ace9ab, (q31_t)0xd08dc3f, (q31_t)0x80aa5806, + (q31_t)0xcefdb76, (q31_t)0x80a7cb49, (q31_t)0xcd6da2d, (q31_t)0x80a54376, (q31_t)0xcbdd865, (q31_t)0x80a2c08b, (q31_t)0xca4d620, (q31_t)0x80a04289, + (q31_t)0xc8bd35e, (q31_t)0x809dc971, (q31_t)0xc72d020, (q31_t)0x809b5541, (q31_t)0xc59cc68, (q31_t)0x8098e5fb, (q31_t)0xc40c835, (q31_t)0x80967b9f, + (q31_t)0xc27c389, (q31_t)0x8094162c, (q31_t)0xc0ebe66, (q31_t)0x8091b5a2, (q31_t)0xbf5b8cb, (q31_t)0x808f5a02, (q31_t)0xbdcb2bb, (q31_t)0x808d034c, + (q31_t)0xbc3ac35, (q31_t)0x808ab180, (q31_t)0xbaaa53b, (q31_t)0x8088649e, (q31_t)0xb919dcf, (q31_t)0x80861ca6, (q31_t)0xb7895f0, (q31_t)0x8083d998, + (q31_t)0xb5f8d9f, (q31_t)0x80819b74, (q31_t)0xb4684df, (q31_t)0x807f623b, (q31_t)0xb2d7baf, (q31_t)0x807d2dec, (q31_t)0xb147211, (q31_t)0x807afe87, + (q31_t)0xafb6805, (q31_t)0x8078d40d, (q31_t)0xae25d8d, (q31_t)0x8076ae7e, (q31_t)0xac952aa, (q31_t)0x80748dd9, (q31_t)0xab0475c, (q31_t)0x8072721f, + (q31_t)0xa973ba5, (q31_t)0x80705b50, (q31_t)0xa7e2f85, (q31_t)0x806e496c, (q31_t)0xa6522fe, (q31_t)0x806c3c74, (q31_t)0xa4c1610, (q31_t)0x806a3466, + (q31_t)0xa3308bd, (q31_t)0x80683143, (q31_t)0xa19fb04, (q31_t)0x8066330c, (q31_t)0xa00ece8, (q31_t)0x806439c0, (q31_t)0x9e7de6a, (q31_t)0x80624560, + (q31_t)0x9cecf89, (q31_t)0x806055eb, (q31_t)0x9b5c048, (q31_t)0x805e6b62, (q31_t)0x99cb0a7, (q31_t)0x805c85c4, (q31_t)0x983a0a7, (q31_t)0x805aa512, + (q31_t)0x96a9049, (q31_t)0x8058c94c, (q31_t)0x9517f8f, (q31_t)0x8056f272, (q31_t)0x9386e78, (q31_t)0x80552084, (q31_t)0x91f5d06, (q31_t)0x80535381, + (q31_t)0x9064b3a, (q31_t)0x80518b6b, (q31_t)0x8ed3916, (q31_t)0x804fc841, (q31_t)0x8d42699, (q31_t)0x804e0a04, (q31_t)0x8bb13c5, (q31_t)0x804c50b2, + (q31_t)0x8a2009a, (q31_t)0x804a9c4d, (q31_t)0x888ed1b, (q31_t)0x8048ecd5, (q31_t)0x86fd947, (q31_t)0x80474248, (q31_t)0x856c520, (q31_t)0x80459ca9, + (q31_t)0x83db0a7, (q31_t)0x8043fbf6, (q31_t)0x8249bdd, (q31_t)0x80426030, (q31_t)0x80b86c2, (q31_t)0x8040c956, (q31_t)0x7f27157, (q31_t)0x803f376a, + (q31_t)0x7d95b9e, (q31_t)0x803daa6a, (q31_t)0x7c04598, (q31_t)0x803c2257, (q31_t)0x7a72f45, (q31_t)0x803a9f31, (q31_t)0x78e18a7, (q31_t)0x803920f8, + (q31_t)0x77501be, (q31_t)0x8037a7ac, (q31_t)0x75bea8c, (q31_t)0x8036334e, (q31_t)0x742d311, (q31_t)0x8034c3dd, (q31_t)0x729bb4e, (q31_t)0x80335959, + (q31_t)0x710a345, (q31_t)0x8031f3c2, (q31_t)0x6f78af6, (q31_t)0x80309318, (q31_t)0x6de7262, (q31_t)0x802f375d, (q31_t)0x6c5598a, (q31_t)0x802de08e, + (q31_t)0x6ac406f, (q31_t)0x802c8ead, (q31_t)0x6932713, (q31_t)0x802b41ba, (q31_t)0x67a0d76, (q31_t)0x8029f9b4, (q31_t)0x660f398, (q31_t)0x8028b69c, + (q31_t)0x647d97c, (q31_t)0x80277872, (q31_t)0x62ebf22, (q31_t)0x80263f36, (q31_t)0x615a48b, (q31_t)0x80250ae7, (q31_t)0x5fc89b8, (q31_t)0x8023db86, + (q31_t)0x5e36ea9, (q31_t)0x8022b114, (q31_t)0x5ca5361, (q31_t)0x80218b8f, (q31_t)0x5b137df, (q31_t)0x80206af8, (q31_t)0x5981c26, (q31_t)0x801f4f4f, + (q31_t)0x57f0035, (q31_t)0x801e3895, (q31_t)0x565e40d, (q31_t)0x801d26c8, (q31_t)0x54cc7b1, (q31_t)0x801c19ea, (q31_t)0x533ab20, (q31_t)0x801b11fa, + (q31_t)0x51a8e5c, (q31_t)0x801a0ef8, (q31_t)0x5017165, (q31_t)0x801910e4, (q31_t)0x4e8543e, (q31_t)0x801817bf, (q31_t)0x4cf36e5, (q31_t)0x80172388, + (q31_t)0x4b6195d, (q31_t)0x80163440, (q31_t)0x49cfba7, (q31_t)0x801549e6, (q31_t)0x483ddc3, (q31_t)0x8014647b, (q31_t)0x46abfb3, (q31_t)0x801383fe, + (q31_t)0x451a177, (q31_t)0x8012a86f, (q31_t)0x4388310, (q31_t)0x8011d1d0, (q31_t)0x41f6480, (q31_t)0x8011001f, (q31_t)0x40645c7, (q31_t)0x8010335c, + (q31_t)0x3ed26e6, (q31_t)0x800f6b88, (q31_t)0x3d407df, (q31_t)0x800ea8a3, (q31_t)0x3bae8b2, (q31_t)0x800deaad, (q31_t)0x3a1c960, (q31_t)0x800d31a5, + (q31_t)0x388a9ea, (q31_t)0x800c7d8c, (q31_t)0x36f8a51, (q31_t)0x800bce63, (q31_t)0x3566a96, (q31_t)0x800b2427, (q31_t)0x33d4abb, (q31_t)0x800a7edb, + (q31_t)0x3242abf, (q31_t)0x8009de7e, (q31_t)0x30b0aa4, (q31_t)0x80094310, (q31_t)0x2f1ea6c, (q31_t)0x8008ac90, (q31_t)0x2d8ca16, (q31_t)0x80081b00, + (q31_t)0x2bfa9a4, (q31_t)0x80078e5e, (q31_t)0x2a68917, (q31_t)0x800706ac, (q31_t)0x28d6870, (q31_t)0x800683e8, (q31_t)0x27447b0, (q31_t)0x80060614, + (q31_t)0x25b26d7, (q31_t)0x80058d2f, (q31_t)0x24205e8, (q31_t)0x80051939, (q31_t)0x228e4e2, (q31_t)0x8004aa32, (q31_t)0x20fc3c6, (q31_t)0x8004401a, + (q31_t)0x1f6a297, (q31_t)0x8003daf1, (q31_t)0x1dd8154, (q31_t)0x80037ab7, (q31_t)0x1c45ffe, (q31_t)0x80031f6d, (q31_t)0x1ab3e97, (q31_t)0x8002c912, + (q31_t)0x1921d20, (q31_t)0x800277a6, (q31_t)0x178fb99, (q31_t)0x80022b29, (q31_t)0x15fda03, (q31_t)0x8001e39b, (q31_t)0x146b860, (q31_t)0x8001a0fd, + (q31_t)0x12d96b1, (q31_t)0x8001634e, (q31_t)0x11474f6, (q31_t)0x80012a8e, (q31_t)0xfb5330, (q31_t)0x8000f6bd, (q31_t)0xe23160, (q31_t)0x8000c7dc, + (q31_t)0xc90f88, (q31_t)0x80009dea, (q31_t)0xafeda8, (q31_t)0x800078e7, (q31_t)0x96cbc1, (q31_t)0x800058d4, (q31_t)0x7da9d4, (q31_t)0x80003daf, + (q31_t)0x6487e3, (q31_t)0x8000277a, (q31_t)0x4b65ee, (q31_t)0x80001635, (q31_t)0x3243f5, (q31_t)0x800009df, (q31_t)0x1921fb, (q31_t)0x80000278 +}; + +static const q31_t WeightsQ31_8192[16384] = { + (q31_t)0x7fffffff, (q31_t)0x0, (q31_t)0x7fffffd9, (q31_t)0xfff9b781, (q31_t)0x7fffff62, (q31_t)0xfff36f02, (q31_t)0x7ffffe9d, + (q31_t)0xffed2684, + (q31_t)0x7ffffd88, (q31_t)0xffe6de05, (q31_t)0x7ffffc25, (q31_t)0xffe09586, (q31_t)0x7ffffa73, (q31_t)0xffda4d08, + (q31_t)0x7ffff872, (q31_t)0xffd40489, + (q31_t)0x7ffff621, (q31_t)0xffcdbc0b, (q31_t)0x7ffff382, (q31_t)0xffc7738c, (q31_t)0x7ffff094, (q31_t)0xffc12b0e, + (q31_t)0x7fffed57, (q31_t)0xffbae290, + (q31_t)0x7fffe9cb, (q31_t)0xffb49a12, (q31_t)0x7fffe5f0, (q31_t)0xffae5195, (q31_t)0x7fffe1c6, (q31_t)0xffa80917, + (q31_t)0x7fffdd4d, (q31_t)0xffa1c09a, + (q31_t)0x7fffd886, (q31_t)0xff9b781d, (q31_t)0x7fffd36f, (q31_t)0xff952fa0, (q31_t)0x7fffce09, (q31_t)0xff8ee724, + (q31_t)0x7fffc854, (q31_t)0xff889ea7, + (q31_t)0x7fffc251, (q31_t)0xff82562c, (q31_t)0x7fffbbfe, (q31_t)0xff7c0db0, (q31_t)0x7fffb55c, (q31_t)0xff75c535, + (q31_t)0x7fffae6c, (q31_t)0xff6f7cba, + (q31_t)0x7fffa72c, (q31_t)0xff69343f, (q31_t)0x7fff9f9e, (q31_t)0xff62ebc5, (q31_t)0x7fff97c1, (q31_t)0xff5ca34b, + (q31_t)0x7fff8f94, (q31_t)0xff565ad1, + (q31_t)0x7fff8719, (q31_t)0xff501258, (q31_t)0x7fff7e4f, (q31_t)0xff49c9df, (q31_t)0x7fff7536, (q31_t)0xff438167, + (q31_t)0x7fff6bcd, (q31_t)0xff3d38ef, + (q31_t)0x7fff6216, (q31_t)0xff36f078, (q31_t)0x7fff5810, (q31_t)0xff30a801, (q31_t)0x7fff4dbb, (q31_t)0xff2a5f8b, + (q31_t)0x7fff4317, (q31_t)0xff241715, + (q31_t)0x7fff3824, (q31_t)0xff1dcea0, (q31_t)0x7fff2ce2, (q31_t)0xff17862b, (q31_t)0x7fff2151, (q31_t)0xff113db7, + (q31_t)0x7fff1572, (q31_t)0xff0af543, + (q31_t)0x7fff0943, (q31_t)0xff04acd0, (q31_t)0x7ffefcc5, (q31_t)0xfefe645e, (q31_t)0x7ffeeff8, (q31_t)0xfef81bec, + (q31_t)0x7ffee2dd, (q31_t)0xfef1d37b, + (q31_t)0x7ffed572, (q31_t)0xfeeb8b0a, (q31_t)0x7ffec7b9, (q31_t)0xfee5429a, (q31_t)0x7ffeb9b0, (q31_t)0xfedefa2b, + (q31_t)0x7ffeab59, (q31_t)0xfed8b1bd, + (q31_t)0x7ffe9cb2, (q31_t)0xfed2694f, (q31_t)0x7ffe8dbd, (q31_t)0xfecc20e2, (q31_t)0x7ffe7e79, (q31_t)0xfec5d876, + (q31_t)0x7ffe6ee5, (q31_t)0xfebf900a, + (q31_t)0x7ffe5f03, (q31_t)0xfeb947a0, (q31_t)0x7ffe4ed2, (q31_t)0xfeb2ff36, (q31_t)0x7ffe3e52, (q31_t)0xfeacb6cc, + (q31_t)0x7ffe2d83, (q31_t)0xfea66e64, + (q31_t)0x7ffe1c65, (q31_t)0xfea025fd, (q31_t)0x7ffe0af8, (q31_t)0xfe99dd96, (q31_t)0x7ffdf93c, (q31_t)0xfe939530, + (q31_t)0x7ffde731, (q31_t)0xfe8d4ccb, + (q31_t)0x7ffdd4d7, (q31_t)0xfe870467, (q31_t)0x7ffdc22e, (q31_t)0xfe80bc04, (q31_t)0x7ffdaf37, (q31_t)0xfe7a73a2, + (q31_t)0x7ffd9bf0, (q31_t)0xfe742b41, + (q31_t)0x7ffd885a, (q31_t)0xfe6de2e0, (q31_t)0x7ffd7476, (q31_t)0xfe679a81, (q31_t)0x7ffd6042, (q31_t)0xfe615223, + (q31_t)0x7ffd4bc0, (q31_t)0xfe5b09c5, + (q31_t)0x7ffd36ee, (q31_t)0xfe54c169, (q31_t)0x7ffd21ce, (q31_t)0xfe4e790d, (q31_t)0x7ffd0c5f, (q31_t)0xfe4830b3, + (q31_t)0x7ffcf6a0, (q31_t)0xfe41e85a, + (q31_t)0x7ffce093, (q31_t)0xfe3ba002, (q31_t)0x7ffcca37, (q31_t)0xfe3557ab, (q31_t)0x7ffcb38c, (q31_t)0xfe2f0f55, + (q31_t)0x7ffc9c92, (q31_t)0xfe28c700, + (q31_t)0x7ffc8549, (q31_t)0xfe227eac, (q31_t)0x7ffc6db1, (q31_t)0xfe1c365a, (q31_t)0x7ffc55ca, (q31_t)0xfe15ee09, + (q31_t)0x7ffc3d94, (q31_t)0xfe0fa5b8, + (q31_t)0x7ffc250f, (q31_t)0xfe095d69, (q31_t)0x7ffc0c3b, (q31_t)0xfe03151c, (q31_t)0x7ffbf319, (q31_t)0xfdfccccf, + (q31_t)0x7ffbd9a7, (q31_t)0xfdf68484, + (q31_t)0x7ffbbfe6, (q31_t)0xfdf03c3a, (q31_t)0x7ffba5d7, (q31_t)0xfde9f3f1, (q31_t)0x7ffb8b78, (q31_t)0xfde3aba9, + (q31_t)0x7ffb70cb, (q31_t)0xfddd6363, + (q31_t)0x7ffb55ce, (q31_t)0xfdd71b1e, (q31_t)0x7ffb3a83, (q31_t)0xfdd0d2db, (q31_t)0x7ffb1ee9, (q31_t)0xfdca8a99, + (q31_t)0x7ffb0300, (q31_t)0xfdc44258, + (q31_t)0x7ffae6c7, (q31_t)0xfdbdfa18, (q31_t)0x7ffaca40, (q31_t)0xfdb7b1da, (q31_t)0x7ffaad6a, (q31_t)0xfdb1699e, + (q31_t)0x7ffa9045, (q31_t)0xfdab2162, + (q31_t)0x7ffa72d1, (q31_t)0xfda4d929, (q31_t)0x7ffa550e, (q31_t)0xfd9e90f0, (q31_t)0x7ffa36fc, (q31_t)0xfd9848b9, + (q31_t)0x7ffa189c, (q31_t)0xfd920084, + (q31_t)0x7ff9f9ec, (q31_t)0xfd8bb850, (q31_t)0x7ff9daed, (q31_t)0xfd85701e, (q31_t)0x7ff9bba0, (q31_t)0xfd7f27ed, + (q31_t)0x7ff99c03, (q31_t)0xfd78dfbd, + (q31_t)0x7ff97c18, (q31_t)0xfd729790, (q31_t)0x7ff95bdd, (q31_t)0xfd6c4f64, (q31_t)0x7ff93b54, (q31_t)0xfd660739, + (q31_t)0x7ff91a7b, (q31_t)0xfd5fbf10, + (q31_t)0x7ff8f954, (q31_t)0xfd5976e9, (q31_t)0x7ff8d7de, (q31_t)0xfd532ec3, (q31_t)0x7ff8b619, (q31_t)0xfd4ce69f, + (q31_t)0x7ff89405, (q31_t)0xfd469e7c, + (q31_t)0x7ff871a2, (q31_t)0xfd40565c, (q31_t)0x7ff84ef0, (q31_t)0xfd3a0e3d, (q31_t)0x7ff82bef, (q31_t)0xfd33c61f, + (q31_t)0x7ff8089f, (q31_t)0xfd2d7e04, + (q31_t)0x7ff7e500, (q31_t)0xfd2735ea, (q31_t)0x7ff7c113, (q31_t)0xfd20edd2, (q31_t)0x7ff79cd6, (q31_t)0xfd1aa5bc, + (q31_t)0x7ff7784a, (q31_t)0xfd145da7, + (q31_t)0x7ff75370, (q31_t)0xfd0e1594, (q31_t)0x7ff72e46, (q31_t)0xfd07cd83, (q31_t)0x7ff708ce, (q31_t)0xfd018574, + (q31_t)0x7ff6e307, (q31_t)0xfcfb3d67, + (q31_t)0x7ff6bcf0, (q31_t)0xfcf4f55c, (q31_t)0x7ff6968b, (q31_t)0xfceead52, (q31_t)0x7ff66fd7, (q31_t)0xfce8654b, + (q31_t)0x7ff648d4, (q31_t)0xfce21d45, + (q31_t)0x7ff62182, (q31_t)0xfcdbd541, (q31_t)0x7ff5f9e1, (q31_t)0xfcd58d3f, (q31_t)0x7ff5d1f1, (q31_t)0xfccf453f, + (q31_t)0x7ff5a9b2, (q31_t)0xfcc8fd41, + (q31_t)0x7ff58125, (q31_t)0xfcc2b545, (q31_t)0x7ff55848, (q31_t)0xfcbc6d4c, (q31_t)0x7ff52f1d, (q31_t)0xfcb62554, + (q31_t)0x7ff505a2, (q31_t)0xfcafdd5e, + (q31_t)0x7ff4dbd9, (q31_t)0xfca9956a, (q31_t)0x7ff4b1c0, (q31_t)0xfca34d78, (q31_t)0x7ff48759, (q31_t)0xfc9d0588, + (q31_t)0x7ff45ca3, (q31_t)0xfc96bd9b, + (q31_t)0x7ff4319d, (q31_t)0xfc9075af, (q31_t)0x7ff40649, (q31_t)0xfc8a2dc6, (q31_t)0x7ff3daa6, (q31_t)0xfc83e5de, + (q31_t)0x7ff3aeb4, (q31_t)0xfc7d9df9, + (q31_t)0x7ff38274, (q31_t)0xfc775616, (q31_t)0x7ff355e4, (q31_t)0xfc710e36, (q31_t)0x7ff32905, (q31_t)0xfc6ac657, + (q31_t)0x7ff2fbd7, (q31_t)0xfc647e7b, + (q31_t)0x7ff2ce5b, (q31_t)0xfc5e36a0, (q31_t)0x7ff2a08f, (q31_t)0xfc57eec9, (q31_t)0x7ff27275, (q31_t)0xfc51a6f3, + (q31_t)0x7ff2440b, (q31_t)0xfc4b5f20, + (q31_t)0x7ff21553, (q31_t)0xfc45174e, (q31_t)0x7ff1e64c, (q31_t)0xfc3ecf80, (q31_t)0x7ff1b6f6, (q31_t)0xfc3887b3, + (q31_t)0x7ff18751, (q31_t)0xfc323fe9, + (q31_t)0x7ff1575d, (q31_t)0xfc2bf821, (q31_t)0x7ff1271a, (q31_t)0xfc25b05c, (q31_t)0x7ff0f688, (q31_t)0xfc1f6899, + (q31_t)0x7ff0c5a7, (q31_t)0xfc1920d8, + (q31_t)0x7ff09478, (q31_t)0xfc12d91a, (q31_t)0x7ff062f9, (q31_t)0xfc0c915e, (q31_t)0x7ff0312c, (q31_t)0xfc0649a5, + (q31_t)0x7fefff0f, (q31_t)0xfc0001ee, + (q31_t)0x7fefcca4, (q31_t)0xfbf9ba39, (q31_t)0x7fef99ea, (q31_t)0xfbf37287, (q31_t)0x7fef66e1, (q31_t)0xfbed2ad8, + (q31_t)0x7fef3388, (q31_t)0xfbe6e32b, + (q31_t)0x7feeffe1, (q31_t)0xfbe09b80, (q31_t)0x7feecbec, (q31_t)0xfbda53d8, (q31_t)0x7fee97a7, (q31_t)0xfbd40c33, + (q31_t)0x7fee6313, (q31_t)0xfbcdc490, + (q31_t)0x7fee2e30, (q31_t)0xfbc77cf0, (q31_t)0x7fedf8ff, (q31_t)0xfbc13552, (q31_t)0x7fedc37e, (q31_t)0xfbbaedb7, + (q31_t)0x7fed8daf, (q31_t)0xfbb4a61f, + (q31_t)0x7fed5791, (q31_t)0xfbae5e89, (q31_t)0x7fed2123, (q31_t)0xfba816f6, (q31_t)0x7fecea67, (q31_t)0xfba1cf66, + (q31_t)0x7fecb35c, (q31_t)0xfb9b87d8, + (q31_t)0x7fec7c02, (q31_t)0xfb95404d, (q31_t)0x7fec4459, (q31_t)0xfb8ef8c5, (q31_t)0x7fec0c62, (q31_t)0xfb88b13f, + (q31_t)0x7febd41b, (q31_t)0xfb8269bd, + (q31_t)0x7feb9b85, (q31_t)0xfb7c223d, (q31_t)0x7feb62a1, (q31_t)0xfb75dac0, (q31_t)0x7feb296d, (q31_t)0xfb6f9345, + (q31_t)0x7feaefeb, (q31_t)0xfb694bce, + (q31_t)0x7feab61a, (q31_t)0xfb630459, (q31_t)0x7fea7bfa, (q31_t)0xfb5cbce7, (q31_t)0x7fea418b, (q31_t)0xfb567578, + (q31_t)0x7fea06cd, (q31_t)0xfb502e0c, + (q31_t)0x7fe9cbc0, (q31_t)0xfb49e6a3, (q31_t)0x7fe99064, (q31_t)0xfb439f3c, (q31_t)0x7fe954ba, (q31_t)0xfb3d57d9, + (q31_t)0x7fe918c0, (q31_t)0xfb371078, + (q31_t)0x7fe8dc78, (q31_t)0xfb30c91b, (q31_t)0x7fe89fe0, (q31_t)0xfb2a81c0, (q31_t)0x7fe862fa, (q31_t)0xfb243a69, + (q31_t)0x7fe825c5, (q31_t)0xfb1df314, + (q31_t)0x7fe7e841, (q31_t)0xfb17abc2, (q31_t)0x7fe7aa6e, (q31_t)0xfb116474, (q31_t)0x7fe76c4c, (q31_t)0xfb0b1d28, + (q31_t)0x7fe72ddb, (q31_t)0xfb04d5e0, + (q31_t)0x7fe6ef1c, (q31_t)0xfafe8e9b, (q31_t)0x7fe6b00d, (q31_t)0xfaf84758, (q31_t)0x7fe670b0, (q31_t)0xfaf20019, + (q31_t)0x7fe63103, (q31_t)0xfaebb8dd, + (q31_t)0x7fe5f108, (q31_t)0xfae571a4, (q31_t)0x7fe5b0be, (q31_t)0xfadf2a6e, (q31_t)0x7fe57025, (q31_t)0xfad8e33c, + (q31_t)0x7fe52f3d, (q31_t)0xfad29c0c, + (q31_t)0x7fe4ee06, (q31_t)0xfacc54e0, (q31_t)0x7fe4ac81, (q31_t)0xfac60db7, (q31_t)0x7fe46aac, (q31_t)0xfabfc691, + (q31_t)0x7fe42889, (q31_t)0xfab97f6e, + (q31_t)0x7fe3e616, (q31_t)0xfab3384f, (q31_t)0x7fe3a355, (q31_t)0xfaacf133, (q31_t)0x7fe36045, (q31_t)0xfaa6aa1a, + (q31_t)0x7fe31ce6, (q31_t)0xfaa06305, + (q31_t)0x7fe2d938, (q31_t)0xfa9a1bf3, (q31_t)0x7fe2953b, (q31_t)0xfa93d4e4, (q31_t)0x7fe250ef, (q31_t)0xfa8d8dd8, + (q31_t)0x7fe20c55, (q31_t)0xfa8746d0, + (q31_t)0x7fe1c76b, (q31_t)0xfa80ffcb, (q31_t)0x7fe18233, (q31_t)0xfa7ab8ca, (q31_t)0x7fe13cac, (q31_t)0xfa7471cc, + (q31_t)0x7fe0f6d6, (q31_t)0xfa6e2ad1, + (q31_t)0x7fe0b0b1, (q31_t)0xfa67e3da, (q31_t)0x7fe06a3d, (q31_t)0xfa619ce7, (q31_t)0x7fe0237a, (q31_t)0xfa5b55f7, + (q31_t)0x7fdfdc69, (q31_t)0xfa550f0a, + (q31_t)0x7fdf9508, (q31_t)0xfa4ec821, (q31_t)0x7fdf4d59, (q31_t)0xfa48813b, (q31_t)0x7fdf055a, (q31_t)0xfa423a59, + (q31_t)0x7fdebd0d, (q31_t)0xfa3bf37a, + (q31_t)0x7fde7471, (q31_t)0xfa35ac9f, (q31_t)0x7fde2b86, (q31_t)0xfa2f65c8, (q31_t)0x7fdde24d, (q31_t)0xfa291ef4, + (q31_t)0x7fdd98c4, (q31_t)0xfa22d823, + (q31_t)0x7fdd4eec, (q31_t)0xfa1c9157, (q31_t)0x7fdd04c6, (q31_t)0xfa164a8e, (q31_t)0x7fdcba51, (q31_t)0xfa1003c8, + (q31_t)0x7fdc6f8d, (q31_t)0xfa09bd06, + (q31_t)0x7fdc247a, (q31_t)0xfa037648, (q31_t)0x7fdbd918, (q31_t)0xf9fd2f8e, (q31_t)0x7fdb8d67, (q31_t)0xf9f6e8d7, + (q31_t)0x7fdb4167, (q31_t)0xf9f0a224, + (q31_t)0x7fdaf519, (q31_t)0xf9ea5b75, (q31_t)0x7fdaa87c, (q31_t)0xf9e414ca, (q31_t)0x7fda5b8f, (q31_t)0xf9ddce22, + (q31_t)0x7fda0e54, (q31_t)0xf9d7877e, + (q31_t)0x7fd9c0ca, (q31_t)0xf9d140de, (q31_t)0x7fd972f2, (q31_t)0xf9cafa42, (q31_t)0x7fd924ca, (q31_t)0xf9c4b3a9, + (q31_t)0x7fd8d653, (q31_t)0xf9be6d15, + (q31_t)0x7fd8878e, (q31_t)0xf9b82684, (q31_t)0x7fd8387a, (q31_t)0xf9b1dff7, (q31_t)0x7fd7e917, (q31_t)0xf9ab996e, + (q31_t)0x7fd79965, (q31_t)0xf9a552e9, + (q31_t)0x7fd74964, (q31_t)0xf99f0c68, (q31_t)0x7fd6f914, (q31_t)0xf998c5ea, (q31_t)0x7fd6a875, (q31_t)0xf9927f71, + (q31_t)0x7fd65788, (q31_t)0xf98c38fc, + (q31_t)0x7fd6064c, (q31_t)0xf985f28a, (q31_t)0x7fd5b4c1, (q31_t)0xf97fac1d, (q31_t)0x7fd562e7, (q31_t)0xf97965b4, + (q31_t)0x7fd510be, (q31_t)0xf9731f4e, + (q31_t)0x7fd4be46, (q31_t)0xf96cd8ed, (q31_t)0x7fd46b80, (q31_t)0xf9669290, (q31_t)0x7fd4186a, (q31_t)0xf9604c37, + (q31_t)0x7fd3c506, (q31_t)0xf95a05e2, + (q31_t)0x7fd37153, (q31_t)0xf953bf91, (q31_t)0x7fd31d51, (q31_t)0xf94d7944, (q31_t)0x7fd2c900, (q31_t)0xf94732fb, + (q31_t)0x7fd27460, (q31_t)0xf940ecb7, + (q31_t)0x7fd21f72, (q31_t)0xf93aa676, (q31_t)0x7fd1ca35, (q31_t)0xf934603a, (q31_t)0x7fd174a8, (q31_t)0xf92e1a02, + (q31_t)0x7fd11ecd, (q31_t)0xf927d3ce, + (q31_t)0x7fd0c8a3, (q31_t)0xf9218d9e, (q31_t)0x7fd0722b, (q31_t)0xf91b4773, (q31_t)0x7fd01b63, (q31_t)0xf915014c, + (q31_t)0x7fcfc44d, (q31_t)0xf90ebb29, + (q31_t)0x7fcf6ce8, (q31_t)0xf908750a, (q31_t)0x7fcf1533, (q31_t)0xf9022ef0, (q31_t)0x7fcebd31, (q31_t)0xf8fbe8da, + (q31_t)0x7fce64df, (q31_t)0xf8f5a2c9, + (q31_t)0x7fce0c3e, (q31_t)0xf8ef5cbb, (q31_t)0x7fcdb34f, (q31_t)0xf8e916b2, (q31_t)0x7fcd5a11, (q31_t)0xf8e2d0ae, + (q31_t)0x7fcd0083, (q31_t)0xf8dc8aae, + (q31_t)0x7fcca6a7, (q31_t)0xf8d644b2, (q31_t)0x7fcc4c7d, (q31_t)0xf8cffebb, (q31_t)0x7fcbf203, (q31_t)0xf8c9b8c8, + (q31_t)0x7fcb973b, (q31_t)0xf8c372d9, + (q31_t)0x7fcb3c23, (q31_t)0xf8bd2cef, (q31_t)0x7fcae0bd, (q31_t)0xf8b6e70a, (q31_t)0x7fca8508, (q31_t)0xf8b0a129, + (q31_t)0x7fca2905, (q31_t)0xf8aa5b4c, + (q31_t)0x7fc9ccb2, (q31_t)0xf8a41574, (q31_t)0x7fc97011, (q31_t)0xf89dcfa1, (q31_t)0x7fc91320, (q31_t)0xf89789d2, + (q31_t)0x7fc8b5e1, (q31_t)0xf8914407, + (q31_t)0x7fc85854, (q31_t)0xf88afe42, (q31_t)0x7fc7fa77, (q31_t)0xf884b880, (q31_t)0x7fc79c4b, (q31_t)0xf87e72c4, + (q31_t)0x7fc73dd1, (q31_t)0xf8782d0c, + (q31_t)0x7fc6df08, (q31_t)0xf871e759, (q31_t)0x7fc67ff0, (q31_t)0xf86ba1aa, (q31_t)0x7fc62089, (q31_t)0xf8655c00, + (q31_t)0x7fc5c0d3, (q31_t)0xf85f165b, + (q31_t)0x7fc560cf, (q31_t)0xf858d0bb, (q31_t)0x7fc5007c, (q31_t)0xf8528b1f, (q31_t)0x7fc49fda, (q31_t)0xf84c4588, + (q31_t)0x7fc43ee9, (q31_t)0xf845fff5, + (q31_t)0x7fc3dda9, (q31_t)0xf83fba68, (q31_t)0x7fc37c1b, (q31_t)0xf83974df, (q31_t)0x7fc31a3d, (q31_t)0xf8332f5b, + (q31_t)0x7fc2b811, (q31_t)0xf82ce9dc, + (q31_t)0x7fc25596, (q31_t)0xf826a462, (q31_t)0x7fc1f2cc, (q31_t)0xf8205eec, (q31_t)0x7fc18fb4, (q31_t)0xf81a197b, + (q31_t)0x7fc12c4d, (q31_t)0xf813d410, + (q31_t)0x7fc0c896, (q31_t)0xf80d8ea9, (q31_t)0x7fc06491, (q31_t)0xf8074947, (q31_t)0x7fc0003e, (q31_t)0xf80103ea, + (q31_t)0x7fbf9b9b, (q31_t)0xf7fabe92, + (q31_t)0x7fbf36aa, (q31_t)0xf7f4793e, (q31_t)0x7fbed16a, (q31_t)0xf7ee33f0, (q31_t)0x7fbe6bdb, (q31_t)0xf7e7eea7, + (q31_t)0x7fbe05fd, (q31_t)0xf7e1a963, + (q31_t)0x7fbd9fd0, (q31_t)0xf7db6423, (q31_t)0x7fbd3955, (q31_t)0xf7d51ee9, (q31_t)0x7fbcd28b, (q31_t)0xf7ced9b4, + (q31_t)0x7fbc6b72, (q31_t)0xf7c89484, + (q31_t)0x7fbc040a, (q31_t)0xf7c24f59, (q31_t)0x7fbb9c53, (q31_t)0xf7bc0a33, (q31_t)0x7fbb344e, (q31_t)0xf7b5c512, + (q31_t)0x7fbacbfa, (q31_t)0xf7af7ff6, + (q31_t)0x7fba6357, (q31_t)0xf7a93ae0, (q31_t)0x7fb9fa65, (q31_t)0xf7a2f5ce, (q31_t)0x7fb99125, (q31_t)0xf79cb0c2, + (q31_t)0x7fb92796, (q31_t)0xf7966bbb, + (q31_t)0x7fb8bdb8, (q31_t)0xf79026b9, (q31_t)0x7fb8538b, (q31_t)0xf789e1bc, (q31_t)0x7fb7e90f, (q31_t)0xf7839cc4, + (q31_t)0x7fb77e45, (q31_t)0xf77d57d2, + (q31_t)0x7fb7132b, (q31_t)0xf77712e5, (q31_t)0x7fb6a7c3, (q31_t)0xf770cdfd, (q31_t)0x7fb63c0d, (q31_t)0xf76a891b, + (q31_t)0x7fb5d007, (q31_t)0xf764443d, + (q31_t)0x7fb563b3, (q31_t)0xf75dff66, (q31_t)0x7fb4f710, (q31_t)0xf757ba93, (q31_t)0x7fb48a1e, (q31_t)0xf75175c6, + (q31_t)0x7fb41cdd, (q31_t)0xf74b30fe, + (q31_t)0x7fb3af4e, (q31_t)0xf744ec3b, (q31_t)0x7fb34170, (q31_t)0xf73ea77e, (q31_t)0x7fb2d343, (q31_t)0xf73862c6, + (q31_t)0x7fb264c7, (q31_t)0xf7321e14, + (q31_t)0x7fb1f5fc, (q31_t)0xf72bd967, (q31_t)0x7fb186e3, (q31_t)0xf72594c0, (q31_t)0x7fb1177b, (q31_t)0xf71f501e, + (q31_t)0x7fb0a7c4, (q31_t)0xf7190b81, + (q31_t)0x7fb037bf, (q31_t)0xf712c6ea, (q31_t)0x7fafc76a, (q31_t)0xf70c8259, (q31_t)0x7faf56c7, (q31_t)0xf7063dcd, + (q31_t)0x7faee5d5, (q31_t)0xf6fff946, + (q31_t)0x7fae7495, (q31_t)0xf6f9b4c6, (q31_t)0x7fae0305, (q31_t)0xf6f3704a, (q31_t)0x7fad9127, (q31_t)0xf6ed2bd4, + (q31_t)0x7fad1efa, (q31_t)0xf6e6e764, + (q31_t)0x7facac7f, (q31_t)0xf6e0a2fa, (q31_t)0x7fac39b4, (q31_t)0xf6da5e95, (q31_t)0x7fabc69b, (q31_t)0xf6d41a36, + (q31_t)0x7fab5333, (q31_t)0xf6cdd5dc, + (q31_t)0x7faadf7c, (q31_t)0xf6c79188, (q31_t)0x7faa6b77, (q31_t)0xf6c14d3a, (q31_t)0x7fa9f723, (q31_t)0xf6bb08f1, + (q31_t)0x7fa98280, (q31_t)0xf6b4c4ae, + (q31_t)0x7fa90d8e, (q31_t)0xf6ae8071, (q31_t)0x7fa8984e, (q31_t)0xf6a83c3a, (q31_t)0x7fa822bf, (q31_t)0xf6a1f808, + (q31_t)0x7fa7ace1, (q31_t)0xf69bb3dd, + (q31_t)0x7fa736b4, (q31_t)0xf6956fb7, (q31_t)0x7fa6c039, (q31_t)0xf68f2b96, (q31_t)0x7fa6496e, (q31_t)0xf688e77c, + (q31_t)0x7fa5d256, (q31_t)0xf682a367, + (q31_t)0x7fa55aee, (q31_t)0xf67c5f59, (q31_t)0x7fa4e338, (q31_t)0xf6761b50, (q31_t)0x7fa46b32, (q31_t)0xf66fd74d, + (q31_t)0x7fa3f2df, (q31_t)0xf6699350, + (q31_t)0x7fa37a3c, (q31_t)0xf6634f59, (q31_t)0x7fa3014b, (q31_t)0xf65d0b68, (q31_t)0x7fa2880b, (q31_t)0xf656c77c, + (q31_t)0x7fa20e7c, (q31_t)0xf6508397, + (q31_t)0x7fa1949e, (q31_t)0xf64a3fb8, (q31_t)0x7fa11a72, (q31_t)0xf643fbdf, (q31_t)0x7fa09ff7, (q31_t)0xf63db80b, + (q31_t)0x7fa0252e, (q31_t)0xf637743e, + (q31_t)0x7f9faa15, (q31_t)0xf6313077, (q31_t)0x7f9f2eae, (q31_t)0xf62aecb5, (q31_t)0x7f9eb2f8, (q31_t)0xf624a8fa, + (q31_t)0x7f9e36f4, (q31_t)0xf61e6545, + (q31_t)0x7f9dbaa0, (q31_t)0xf6182196, (q31_t)0x7f9d3dfe, (q31_t)0xf611dded, (q31_t)0x7f9cc10d, (q31_t)0xf60b9a4b, + (q31_t)0x7f9c43ce, (q31_t)0xf60556ae, + (q31_t)0x7f9bc640, (q31_t)0xf5ff1318, (q31_t)0x7f9b4863, (q31_t)0xf5f8cf87, (q31_t)0x7f9aca37, (q31_t)0xf5f28bfd, + (q31_t)0x7f9a4bbd, (q31_t)0xf5ec4879, + (q31_t)0x7f99ccf4, (q31_t)0xf5e604fc, (q31_t)0x7f994ddc, (q31_t)0xf5dfc184, (q31_t)0x7f98ce76, (q31_t)0xf5d97e13, + (q31_t)0x7f984ec1, (q31_t)0xf5d33aa8, + (q31_t)0x7f97cebd, (q31_t)0xf5ccf743, (q31_t)0x7f974e6a, (q31_t)0xf5c6b3e5, (q31_t)0x7f96cdc9, (q31_t)0xf5c0708d, + (q31_t)0x7f964cd9, (q31_t)0xf5ba2d3b, + (q31_t)0x7f95cb9a, (q31_t)0xf5b3e9f0, (q31_t)0x7f954a0d, (q31_t)0xf5ada6ab, (q31_t)0x7f94c831, (q31_t)0xf5a7636c, + (q31_t)0x7f944606, (q31_t)0xf5a12034, + (q31_t)0x7f93c38c, (q31_t)0xf59add02, (q31_t)0x7f9340c4, (q31_t)0xf59499d6, (q31_t)0x7f92bdad, (q31_t)0xf58e56b1, + (q31_t)0x7f923a48, (q31_t)0xf5881393, + (q31_t)0x7f91b694, (q31_t)0xf581d07b, (q31_t)0x7f913291, (q31_t)0xf57b8d69, (q31_t)0x7f90ae3f, (q31_t)0xf5754a5e, + (q31_t)0x7f90299f, (q31_t)0xf56f0759, + (q31_t)0x7f8fa4b0, (q31_t)0xf568c45b, (q31_t)0x7f8f1f72, (q31_t)0xf5628163, (q31_t)0x7f8e99e6, (q31_t)0xf55c3e72, + (q31_t)0x7f8e140a, (q31_t)0xf555fb88, + (q31_t)0x7f8d8de1, (q31_t)0xf54fb8a4, (q31_t)0x7f8d0768, (q31_t)0xf54975c6, (q31_t)0x7f8c80a1, (q31_t)0xf54332ef, + (q31_t)0x7f8bf98b, (q31_t)0xf53cf01f, + (q31_t)0x7f8b7227, (q31_t)0xf536ad56, (q31_t)0x7f8aea74, (q31_t)0xf5306a93, (q31_t)0x7f8a6272, (q31_t)0xf52a27d7, + (q31_t)0x7f89da21, (q31_t)0xf523e521, + (q31_t)0x7f895182, (q31_t)0xf51da273, (q31_t)0x7f88c894, (q31_t)0xf5175fca, (q31_t)0x7f883f58, (q31_t)0xf5111d29, + (q31_t)0x7f87b5cd, (q31_t)0xf50ada8f, + (q31_t)0x7f872bf3, (q31_t)0xf50497fb, (q31_t)0x7f86a1ca, (q31_t)0xf4fe556e, (q31_t)0x7f861753, (q31_t)0xf4f812e7, + (q31_t)0x7f858c8d, (q31_t)0xf4f1d068, + (q31_t)0x7f850179, (q31_t)0xf4eb8def, (q31_t)0x7f847616, (q31_t)0xf4e54b7d, (q31_t)0x7f83ea64, (q31_t)0xf4df0912, + (q31_t)0x7f835e64, (q31_t)0xf4d8c6ae, + (q31_t)0x7f82d214, (q31_t)0xf4d28451, (q31_t)0x7f824577, (q31_t)0xf4cc41fb, (q31_t)0x7f81b88a, (q31_t)0xf4c5ffab, + (q31_t)0x7f812b4f, (q31_t)0xf4bfbd63, + (q31_t)0x7f809dc5, (q31_t)0xf4b97b21, (q31_t)0x7f800fed, (q31_t)0xf4b338e7, (q31_t)0x7f7f81c6, (q31_t)0xf4acf6b3, + (q31_t)0x7f7ef350, (q31_t)0xf4a6b486, + (q31_t)0x7f7e648c, (q31_t)0xf4a07261, (q31_t)0x7f7dd579, (q31_t)0xf49a3042, (q31_t)0x7f7d4617, (q31_t)0xf493ee2b, + (q31_t)0x7f7cb667, (q31_t)0xf48dac1a, + (q31_t)0x7f7c2668, (q31_t)0xf4876a10, (q31_t)0x7f7b961b, (q31_t)0xf481280e, (q31_t)0x7f7b057e, (q31_t)0xf47ae613, + (q31_t)0x7f7a7494, (q31_t)0xf474a41f, + (q31_t)0x7f79e35a, (q31_t)0xf46e6231, (q31_t)0x7f7951d2, (q31_t)0xf468204b, (q31_t)0x7f78bffb, (q31_t)0xf461de6d, + (q31_t)0x7f782dd6, (q31_t)0xf45b9c95, + (q31_t)0x7f779b62, (q31_t)0xf4555ac5, (q31_t)0x7f77089f, (q31_t)0xf44f18fb, (q31_t)0x7f76758e, (q31_t)0xf448d739, + (q31_t)0x7f75e22e, (q31_t)0xf442957e, + (q31_t)0x7f754e80, (q31_t)0xf43c53cb, (q31_t)0x7f74ba83, (q31_t)0xf436121e, (q31_t)0x7f742637, (q31_t)0xf42fd079, + (q31_t)0x7f73919d, (q31_t)0xf4298edc, + (q31_t)0x7f72fcb4, (q31_t)0xf4234d45, (q31_t)0x7f72677c, (q31_t)0xf41d0bb6, (q31_t)0x7f71d1f6, (q31_t)0xf416ca2e, + (q31_t)0x7f713c21, (q31_t)0xf41088ae, + (q31_t)0x7f70a5fe, (q31_t)0xf40a4735, (q31_t)0x7f700f8c, (q31_t)0xf40405c3, (q31_t)0x7f6f78cb, (q31_t)0xf3fdc459, + (q31_t)0x7f6ee1bc, (q31_t)0xf3f782f6, + (q31_t)0x7f6e4a5e, (q31_t)0xf3f1419a, (q31_t)0x7f6db2b1, (q31_t)0xf3eb0046, (q31_t)0x7f6d1ab6, (q31_t)0xf3e4bef9, + (q31_t)0x7f6c826d, (q31_t)0xf3de7db4, + (q31_t)0x7f6be9d4, (q31_t)0xf3d83c77, (q31_t)0x7f6b50ed, (q31_t)0xf3d1fb40, (q31_t)0x7f6ab7b8, (q31_t)0xf3cbba12, + (q31_t)0x7f6a1e34, (q31_t)0xf3c578eb, + (q31_t)0x7f698461, (q31_t)0xf3bf37cb, (q31_t)0x7f68ea40, (q31_t)0xf3b8f6b3, (q31_t)0x7f684fd0, (q31_t)0xf3b2b5a3, + (q31_t)0x7f67b512, (q31_t)0xf3ac749a, + (q31_t)0x7f671a05, (q31_t)0xf3a63398, (q31_t)0x7f667ea9, (q31_t)0xf39ff29f, (q31_t)0x7f65e2ff, (q31_t)0xf399b1ad, + (q31_t)0x7f654706, (q31_t)0xf39370c2, + (q31_t)0x7f64aabf, (q31_t)0xf38d2fe0, (q31_t)0x7f640e29, (q31_t)0xf386ef05, (q31_t)0x7f637144, (q31_t)0xf380ae31, + (q31_t)0x7f62d411, (q31_t)0xf37a6d66, + (q31_t)0x7f62368f, (q31_t)0xf3742ca2, (q31_t)0x7f6198bf, (q31_t)0xf36debe6, (q31_t)0x7f60faa0, (q31_t)0xf367ab31, + (q31_t)0x7f605c33, (q31_t)0xf3616a85, + (q31_t)0x7f5fbd77, (q31_t)0xf35b29e0, (q31_t)0x7f5f1e6c, (q31_t)0xf354e943, (q31_t)0x7f5e7f13, (q31_t)0xf34ea8ae, + (q31_t)0x7f5ddf6b, (q31_t)0xf3486820, + (q31_t)0x7f5d3f75, (q31_t)0xf342279b, (q31_t)0x7f5c9f30, (q31_t)0xf33be71d, (q31_t)0x7f5bfe9d, (q31_t)0xf335a6a7, + (q31_t)0x7f5b5dbb, (q31_t)0xf32f6639, + (q31_t)0x7f5abc8a, (q31_t)0xf32925d3, (q31_t)0x7f5a1b0b, (q31_t)0xf322e575, (q31_t)0x7f59793e, (q31_t)0xf31ca51f, + (q31_t)0x7f58d721, (q31_t)0xf31664d1, + (q31_t)0x7f5834b7, (q31_t)0xf310248a, (q31_t)0x7f5791fd, (q31_t)0xf309e44c, (q31_t)0x7f56eef5, (q31_t)0xf303a416, + (q31_t)0x7f564b9f, (q31_t)0xf2fd63e8, + (q31_t)0x7f55a7fa, (q31_t)0xf2f723c1, (q31_t)0x7f550407, (q31_t)0xf2f0e3a3, (q31_t)0x7f545fc5, (q31_t)0xf2eaa38d, + (q31_t)0x7f53bb34, (q31_t)0xf2e4637f, + (q31_t)0x7f531655, (q31_t)0xf2de2379, (q31_t)0x7f527127, (q31_t)0xf2d7e37b, (q31_t)0x7f51cbab, (q31_t)0xf2d1a385, + (q31_t)0x7f5125e0, (q31_t)0xf2cb6398, + (q31_t)0x7f507fc7, (q31_t)0xf2c523b2, (q31_t)0x7f4fd95f, (q31_t)0xf2bee3d5, (q31_t)0x7f4f32a9, (q31_t)0xf2b8a400, + (q31_t)0x7f4e8ba4, (q31_t)0xf2b26433, + (q31_t)0x7f4de451, (q31_t)0xf2ac246e, (q31_t)0x7f4d3caf, (q31_t)0xf2a5e4b1, (q31_t)0x7f4c94be, (q31_t)0xf29fa4fd, + (q31_t)0x7f4bec7f, (q31_t)0xf2996551, + (q31_t)0x7f4b43f2, (q31_t)0xf29325ad, (q31_t)0x7f4a9b16, (q31_t)0xf28ce612, (q31_t)0x7f49f1eb, (q31_t)0xf286a67e, + (q31_t)0x7f494872, (q31_t)0xf28066f4, + (q31_t)0x7f489eaa, (q31_t)0xf27a2771, (q31_t)0x7f47f494, (q31_t)0xf273e7f7, (q31_t)0x7f474a30, (q31_t)0xf26da885, + (q31_t)0x7f469f7d, (q31_t)0xf267691b, + (q31_t)0x7f45f47b, (q31_t)0xf26129ba, (q31_t)0x7f45492b, (q31_t)0xf25aea61, (q31_t)0x7f449d8c, (q31_t)0xf254ab11, + (q31_t)0x7f43f19f, (q31_t)0xf24e6bc9, + (q31_t)0x7f434563, (q31_t)0xf2482c8a, (q31_t)0x7f4298d9, (q31_t)0xf241ed53, (q31_t)0x7f41ec01, (q31_t)0xf23bae24, + (q31_t)0x7f413ed9, (q31_t)0xf2356efe, + (q31_t)0x7f409164, (q31_t)0xf22f2fe1, (q31_t)0x7f3fe3a0, (q31_t)0xf228f0cc, (q31_t)0x7f3f358d, (q31_t)0xf222b1c0, + (q31_t)0x7f3e872c, (q31_t)0xf21c72bc, + (q31_t)0x7f3dd87c, (q31_t)0xf21633c0, (q31_t)0x7f3d297e, (q31_t)0xf20ff4ce, (q31_t)0x7f3c7a31, (q31_t)0xf209b5e4, + (q31_t)0x7f3bca96, (q31_t)0xf2037702, + (q31_t)0x7f3b1aad, (q31_t)0xf1fd3829, (q31_t)0x7f3a6a75, (q31_t)0xf1f6f959, (q31_t)0x7f39b9ee, (q31_t)0xf1f0ba91, + (q31_t)0x7f390919, (q31_t)0xf1ea7bd2, + (q31_t)0x7f3857f6, (q31_t)0xf1e43d1c, (q31_t)0x7f37a684, (q31_t)0xf1ddfe6f, (q31_t)0x7f36f4c3, (q31_t)0xf1d7bfca, + (q31_t)0x7f3642b4, (q31_t)0xf1d1812e, + (q31_t)0x7f359057, (q31_t)0xf1cb429a, (q31_t)0x7f34ddab, (q31_t)0xf1c50410, (q31_t)0x7f342ab1, (q31_t)0xf1bec58e, + (q31_t)0x7f337768, (q31_t)0xf1b88715, + (q31_t)0x7f32c3d1, (q31_t)0xf1b248a5, (q31_t)0x7f320feb, (q31_t)0xf1ac0a3e, (q31_t)0x7f315bb7, (q31_t)0xf1a5cbdf, + (q31_t)0x7f30a734, (q31_t)0xf19f8d89, + (q31_t)0x7f2ff263, (q31_t)0xf1994f3d, (q31_t)0x7f2f3d44, (q31_t)0xf19310f9, (q31_t)0x7f2e87d6, (q31_t)0xf18cd2be, + (q31_t)0x7f2dd219, (q31_t)0xf186948c, + (q31_t)0x7f2d1c0e, (q31_t)0xf1805662, (q31_t)0x7f2c65b5, (q31_t)0xf17a1842, (q31_t)0x7f2baf0d, (q31_t)0xf173da2b, + (q31_t)0x7f2af817, (q31_t)0xf16d9c1d, + (q31_t)0x7f2a40d2, (q31_t)0xf1675e17, (q31_t)0x7f29893f, (q31_t)0xf161201b, (q31_t)0x7f28d15d, (q31_t)0xf15ae228, + (q31_t)0x7f28192d, (q31_t)0xf154a43d, + (q31_t)0x7f2760af, (q31_t)0xf14e665c, (q31_t)0x7f26a7e2, (q31_t)0xf1482884, (q31_t)0x7f25eec7, (q31_t)0xf141eab5, + (q31_t)0x7f25355d, (q31_t)0xf13bacef, + (q31_t)0x7f247ba5, (q31_t)0xf1356f32, (q31_t)0x7f23c19e, (q31_t)0xf12f317e, (q31_t)0x7f230749, (q31_t)0xf128f3d4, + (q31_t)0x7f224ca6, (q31_t)0xf122b632, + (q31_t)0x7f2191b4, (q31_t)0xf11c789a, (q31_t)0x7f20d674, (q31_t)0xf1163b0b, (q31_t)0x7f201ae5, (q31_t)0xf10ffd85, + (q31_t)0x7f1f5f08, (q31_t)0xf109c009, + (q31_t)0x7f1ea2dc, (q31_t)0xf1038295, (q31_t)0x7f1de662, (q31_t)0xf0fd452b, (q31_t)0x7f1d299a, (q31_t)0xf0f707ca, + (q31_t)0x7f1c6c83, (q31_t)0xf0f0ca72, + (q31_t)0x7f1baf1e, (q31_t)0xf0ea8d24, (q31_t)0x7f1af16a, (q31_t)0xf0e44fdf, (q31_t)0x7f1a3368, (q31_t)0xf0de12a3, + (q31_t)0x7f197518, (q31_t)0xf0d7d571, + (q31_t)0x7f18b679, (q31_t)0xf0d19848, (q31_t)0x7f17f78c, (q31_t)0xf0cb5b28, (q31_t)0x7f173850, (q31_t)0xf0c51e12, + (q31_t)0x7f1678c6, (q31_t)0xf0bee105, + (q31_t)0x7f15b8ee, (q31_t)0xf0b8a401, (q31_t)0x7f14f8c7, (q31_t)0xf0b26707, (q31_t)0x7f143852, (q31_t)0xf0ac2a16, + (q31_t)0x7f13778e, (q31_t)0xf0a5ed2f, + (q31_t)0x7f12b67c, (q31_t)0xf09fb051, (q31_t)0x7f11f51c, (q31_t)0xf099737d, (q31_t)0x7f11336d, (q31_t)0xf09336b2, + (q31_t)0x7f107170, (q31_t)0xf08cf9f1, + (q31_t)0x7f0faf25, (q31_t)0xf086bd39, (q31_t)0x7f0eec8b, (q31_t)0xf080808b, (q31_t)0x7f0e29a3, (q31_t)0xf07a43e7, + (q31_t)0x7f0d666c, (q31_t)0xf074074c, + (q31_t)0x7f0ca2e7, (q31_t)0xf06dcaba, (q31_t)0x7f0bdf14, (q31_t)0xf0678e32, (q31_t)0x7f0b1af2, (q31_t)0xf06151b4, + (q31_t)0x7f0a5682, (q31_t)0xf05b1540, + (q31_t)0x7f0991c4, (q31_t)0xf054d8d5, (q31_t)0x7f08ccb7, (q31_t)0xf04e9c73, (q31_t)0x7f08075c, (q31_t)0xf048601c, + (q31_t)0x7f0741b2, (q31_t)0xf04223ce, + (q31_t)0x7f067bba, (q31_t)0xf03be78a, (q31_t)0x7f05b574, (q31_t)0xf035ab4f, (q31_t)0x7f04eedf, (q31_t)0xf02f6f1f, + (q31_t)0x7f0427fc, (q31_t)0xf02932f8, + (q31_t)0x7f0360cb, (q31_t)0xf022f6da, (q31_t)0x7f02994b, (q31_t)0xf01cbac7, (q31_t)0x7f01d17d, (q31_t)0xf0167ebd, + (q31_t)0x7f010961, (q31_t)0xf01042be, + (q31_t)0x7f0040f6, (q31_t)0xf00a06c8, (q31_t)0x7eff783d, (q31_t)0xf003cadc, (q31_t)0x7efeaf36, (q31_t)0xeffd8ef9, + (q31_t)0x7efde5e0, (q31_t)0xeff75321, + (q31_t)0x7efd1c3c, (q31_t)0xeff11753, (q31_t)0x7efc524a, (q31_t)0xefeadb8e, (q31_t)0x7efb8809, (q31_t)0xefe49fd3, + (q31_t)0x7efabd7a, (q31_t)0xefde6423, + (q31_t)0x7ef9f29d, (q31_t)0xefd8287c, (q31_t)0x7ef92771, (q31_t)0xefd1ecdf, (q31_t)0x7ef85bf7, (q31_t)0xefcbb14c, + (q31_t)0x7ef7902f, (q31_t)0xefc575c3, + (q31_t)0x7ef6c418, (q31_t)0xefbf3a45, (q31_t)0x7ef5f7b3, (q31_t)0xefb8fed0, (q31_t)0x7ef52b00, (q31_t)0xefb2c365, + (q31_t)0x7ef45dfe, (q31_t)0xefac8804, + (q31_t)0x7ef390ae, (q31_t)0xefa64cae, (q31_t)0x7ef2c310, (q31_t)0xefa01161, (q31_t)0x7ef1f524, (q31_t)0xef99d61f, + (q31_t)0x7ef126e9, (q31_t)0xef939ae6, + (q31_t)0x7ef05860, (q31_t)0xef8d5fb8, (q31_t)0x7eef8988, (q31_t)0xef872494, (q31_t)0x7eeeba62, (q31_t)0xef80e97a, + (q31_t)0x7eedeaee, (q31_t)0xef7aae6b, + (q31_t)0x7eed1b2c, (q31_t)0xef747365, (q31_t)0x7eec4b1b, (q31_t)0xef6e386a, (q31_t)0x7eeb7abc, (q31_t)0xef67fd79, + (q31_t)0x7eeaaa0f, (q31_t)0xef61c292, + (q31_t)0x7ee9d914, (q31_t)0xef5b87b5, (q31_t)0x7ee907ca, (q31_t)0xef554ce3, (q31_t)0x7ee83632, (q31_t)0xef4f121b, + (q31_t)0x7ee7644c, (q31_t)0xef48d75d, + (q31_t)0x7ee69217, (q31_t)0xef429caa, (q31_t)0x7ee5bf94, (q31_t)0xef3c6201, (q31_t)0x7ee4ecc3, (q31_t)0xef362762, + (q31_t)0x7ee419a3, (q31_t)0xef2feccd, + (q31_t)0x7ee34636, (q31_t)0xef29b243, (q31_t)0x7ee2727a, (q31_t)0xef2377c4, (q31_t)0x7ee19e6f, (q31_t)0xef1d3d4e, + (q31_t)0x7ee0ca17, (q31_t)0xef1702e4, + (q31_t)0x7edff570, (q31_t)0xef10c883, (q31_t)0x7edf207b, (q31_t)0xef0a8e2d, (q31_t)0x7ede4b38, (q31_t)0xef0453e2, + (q31_t)0x7edd75a6, (q31_t)0xeefe19a1, + (q31_t)0x7edc9fc6, (q31_t)0xeef7df6a, (q31_t)0x7edbc998, (q31_t)0xeef1a53e, (q31_t)0x7edaf31c, (q31_t)0xeeeb6b1c, + (q31_t)0x7eda1c51, (q31_t)0xeee53105, + (q31_t)0x7ed94538, (q31_t)0xeedef6f9, (q31_t)0x7ed86dd1, (q31_t)0xeed8bcf7, (q31_t)0x7ed7961c, (q31_t)0xeed28300, + (q31_t)0x7ed6be18, (q31_t)0xeecc4913, + (q31_t)0x7ed5e5c6, (q31_t)0xeec60f31, (q31_t)0x7ed50d26, (q31_t)0xeebfd55a, (q31_t)0x7ed43438, (q31_t)0xeeb99b8d, + (q31_t)0x7ed35afb, (q31_t)0xeeb361cb, + (q31_t)0x7ed28171, (q31_t)0xeead2813, (q31_t)0x7ed1a798, (q31_t)0xeea6ee66, (q31_t)0x7ed0cd70, (q31_t)0xeea0b4c4, + (q31_t)0x7ecff2fb, (q31_t)0xee9a7b2d, + (q31_t)0x7ecf1837, (q31_t)0xee9441a0, (q31_t)0x7ece3d25, (q31_t)0xee8e081e, (q31_t)0x7ecd61c5, (q31_t)0xee87cea7, + (q31_t)0x7ecc8617, (q31_t)0xee81953b, + (q31_t)0x7ecbaa1a, (q31_t)0xee7b5bd9, (q31_t)0x7ecacdd0, (q31_t)0xee752283, (q31_t)0x7ec9f137, (q31_t)0xee6ee937, + (q31_t)0x7ec9144f, (q31_t)0xee68aff6, + (q31_t)0x7ec8371a, (q31_t)0xee6276bf, (q31_t)0x7ec75996, (q31_t)0xee5c3d94, (q31_t)0x7ec67bc5, (q31_t)0xee560473, + (q31_t)0x7ec59da5, (q31_t)0xee4fcb5e, + (q31_t)0x7ec4bf36, (q31_t)0xee499253, (q31_t)0x7ec3e07a, (q31_t)0xee435953, (q31_t)0x7ec3016f, (q31_t)0xee3d205e, + (q31_t)0x7ec22217, (q31_t)0xee36e775, + (q31_t)0x7ec14270, (q31_t)0xee30ae96, (q31_t)0x7ec0627a, (q31_t)0xee2a75c2, (q31_t)0x7ebf8237, (q31_t)0xee243cf9, + (q31_t)0x7ebea1a6, (q31_t)0xee1e043b, + (q31_t)0x7ebdc0c6, (q31_t)0xee17cb88, (q31_t)0x7ebcdf98, (q31_t)0xee1192e0, (q31_t)0x7ebbfe1c, (q31_t)0xee0b5a43, + (q31_t)0x7ebb1c52, (q31_t)0xee0521b2, + (q31_t)0x7eba3a39, (q31_t)0xedfee92b, (q31_t)0x7eb957d2, (q31_t)0xedf8b0b0, (q31_t)0x7eb8751e, (q31_t)0xedf2783f, + (q31_t)0x7eb7921b, (q31_t)0xedec3fda, + (q31_t)0x7eb6aeca, (q31_t)0xede60780, (q31_t)0x7eb5cb2a, (q31_t)0xeddfcf31, (q31_t)0x7eb4e73d, (q31_t)0xedd996ed, + (q31_t)0x7eb40301, (q31_t)0xedd35eb5, + (q31_t)0x7eb31e78, (q31_t)0xedcd2687, (q31_t)0x7eb239a0, (q31_t)0xedc6ee65, (q31_t)0x7eb1547a, (q31_t)0xedc0b64e, + (q31_t)0x7eb06f05, (q31_t)0xedba7e43, + (q31_t)0x7eaf8943, (q31_t)0xedb44642, (q31_t)0x7eaea333, (q31_t)0xedae0e4d, (q31_t)0x7eadbcd4, (q31_t)0xeda7d664, + (q31_t)0x7eacd627, (q31_t)0xeda19e85, + (q31_t)0x7eabef2c, (q31_t)0xed9b66b2, (q31_t)0x7eab07e3, (q31_t)0xed952eea, (q31_t)0x7eaa204c, (q31_t)0xed8ef72e, + (q31_t)0x7ea93867, (q31_t)0xed88bf7d, + (q31_t)0x7ea85033, (q31_t)0xed8287d7, (q31_t)0x7ea767b2, (q31_t)0xed7c503d, (q31_t)0x7ea67ee2, (q31_t)0xed7618ae, + (q31_t)0x7ea595c4, (q31_t)0xed6fe12b, + (q31_t)0x7ea4ac58, (q31_t)0xed69a9b3, (q31_t)0x7ea3c29e, (q31_t)0xed637246, (q31_t)0x7ea2d896, (q31_t)0xed5d3ae5, + (q31_t)0x7ea1ee3f, (q31_t)0xed570390, + (q31_t)0x7ea1039b, (q31_t)0xed50cc46, (q31_t)0x7ea018a8, (q31_t)0xed4a9507, (q31_t)0x7e9f2d68, (q31_t)0xed445dd5, + (q31_t)0x7e9e41d9, (q31_t)0xed3e26ad, + (q31_t)0x7e9d55fc, (q31_t)0xed37ef91, (q31_t)0x7e9c69d1, (q31_t)0xed31b881, (q31_t)0x7e9b7d58, (q31_t)0xed2b817d, + (q31_t)0x7e9a9091, (q31_t)0xed254a84, + (q31_t)0x7e99a37c, (q31_t)0xed1f1396, (q31_t)0x7e98b618, (q31_t)0xed18dcb5, (q31_t)0x7e97c867, (q31_t)0xed12a5df, + (q31_t)0x7e96da67, (q31_t)0xed0c6f14, + (q31_t)0x7e95ec1a, (q31_t)0xed063856, (q31_t)0x7e94fd7e, (q31_t)0xed0001a3, (q31_t)0x7e940e94, (q31_t)0xecf9cafb, + (q31_t)0x7e931f5c, (q31_t)0xecf39460, + (q31_t)0x7e922fd6, (q31_t)0xeced5dd0, (q31_t)0x7e914002, (q31_t)0xece7274c, (q31_t)0x7e904fe0, (q31_t)0xece0f0d4, + (q31_t)0x7e8f5f70, (q31_t)0xecdaba67, + (q31_t)0x7e8e6eb2, (q31_t)0xecd48407, (q31_t)0x7e8d7da6, (q31_t)0xecce4db2, (q31_t)0x7e8c8c4b, (q31_t)0xecc81769, + (q31_t)0x7e8b9aa3, (q31_t)0xecc1e12c, + (q31_t)0x7e8aa8ac, (q31_t)0xecbbaafb, (q31_t)0x7e89b668, (q31_t)0xecb574d5, (q31_t)0x7e88c3d5, (q31_t)0xecaf3ebc, + (q31_t)0x7e87d0f5, (q31_t)0xeca908ae, + (q31_t)0x7e86ddc6, (q31_t)0xeca2d2ad, (q31_t)0x7e85ea49, (q31_t)0xec9c9cb7, (q31_t)0x7e84f67e, (q31_t)0xec9666cd, + (q31_t)0x7e840265, (q31_t)0xec9030f0, + (q31_t)0x7e830dff, (q31_t)0xec89fb1e, (q31_t)0x7e82194a, (q31_t)0xec83c558, (q31_t)0x7e812447, (q31_t)0xec7d8f9e, + (q31_t)0x7e802ef6, (q31_t)0xec7759f1, + (q31_t)0x7e7f3957, (q31_t)0xec71244f, (q31_t)0x7e7e436a, (q31_t)0xec6aeeba, (q31_t)0x7e7d4d2f, (q31_t)0xec64b930, + (q31_t)0x7e7c56a5, (q31_t)0xec5e83b3, + (q31_t)0x7e7b5fce, (q31_t)0xec584e41, (q31_t)0x7e7a68a9, (q31_t)0xec5218dc, (q31_t)0x7e797136, (q31_t)0xec4be383, + (q31_t)0x7e787975, (q31_t)0xec45ae36, + (q31_t)0x7e778166, (q31_t)0xec3f78f6, (q31_t)0x7e768908, (q31_t)0xec3943c1, (q31_t)0x7e75905d, (q31_t)0xec330e99, + (q31_t)0x7e749764, (q31_t)0xec2cd97d, + (q31_t)0x7e739e1d, (q31_t)0xec26a46d, (q31_t)0x7e72a488, (q31_t)0xec206f69, (q31_t)0x7e71aaa4, (q31_t)0xec1a3a72, + (q31_t)0x7e70b073, (q31_t)0xec140587, + (q31_t)0x7e6fb5f4, (q31_t)0xec0dd0a8, (q31_t)0x7e6ebb27, (q31_t)0xec079bd6, (q31_t)0x7e6dc00c, (q31_t)0xec01670f, + (q31_t)0x7e6cc4a2, (q31_t)0xebfb3256, + (q31_t)0x7e6bc8eb, (q31_t)0xebf4fda8, (q31_t)0x7e6acce6, (q31_t)0xebeec907, (q31_t)0x7e69d093, (q31_t)0xebe89472, + (q31_t)0x7e68d3f2, (q31_t)0xebe25fea, + (q31_t)0x7e67d703, (q31_t)0xebdc2b6e, (q31_t)0x7e66d9c6, (q31_t)0xebd5f6fe, (q31_t)0x7e65dc3b, (q31_t)0xebcfc29b, + (q31_t)0x7e64de62, (q31_t)0xebc98e45, + (q31_t)0x7e63e03b, (q31_t)0xebc359fb, (q31_t)0x7e62e1c6, (q31_t)0xebbd25bd, (q31_t)0x7e61e303, (q31_t)0xebb6f18c, + (q31_t)0x7e60e3f2, (q31_t)0xebb0bd67, + (q31_t)0x7e5fe493, (q31_t)0xebaa894f, (q31_t)0x7e5ee4e6, (q31_t)0xeba45543, (q31_t)0x7e5de4ec, (q31_t)0xeb9e2144, + (q31_t)0x7e5ce4a3, (q31_t)0xeb97ed52, + (q31_t)0x7e5be40c, (q31_t)0xeb91b96c, (q31_t)0x7e5ae328, (q31_t)0xeb8b8593, (q31_t)0x7e59e1f5, (q31_t)0xeb8551c6, + (q31_t)0x7e58e075, (q31_t)0xeb7f1e06, + (q31_t)0x7e57dea7, (q31_t)0xeb78ea52, (q31_t)0x7e56dc8a, (q31_t)0xeb72b6ac, (q31_t)0x7e55da20, (q31_t)0xeb6c8312, + (q31_t)0x7e54d768, (q31_t)0xeb664f84, + (q31_t)0x7e53d462, (q31_t)0xeb601c04, (q31_t)0x7e52d10e, (q31_t)0xeb59e890, (q31_t)0x7e51cd6c, (q31_t)0xeb53b529, + (q31_t)0x7e50c97c, (q31_t)0xeb4d81ce, + (q31_t)0x7e4fc53e, (q31_t)0xeb474e81, (q31_t)0x7e4ec0b2, (q31_t)0xeb411b40, (q31_t)0x7e4dbbd9, (q31_t)0xeb3ae80c, + (q31_t)0x7e4cb6b1, (q31_t)0xeb34b4e4, + (q31_t)0x7e4bb13c, (q31_t)0xeb2e81ca, (q31_t)0x7e4aab78, (q31_t)0xeb284ebc, (q31_t)0x7e49a567, (q31_t)0xeb221bbb, + (q31_t)0x7e489f08, (q31_t)0xeb1be8c8, + (q31_t)0x7e47985b, (q31_t)0xeb15b5e1, (q31_t)0x7e469160, (q31_t)0xeb0f8307, (q31_t)0x7e458a17, (q31_t)0xeb095039, + (q31_t)0x7e448281, (q31_t)0xeb031d79, + (q31_t)0x7e437a9c, (q31_t)0xeafceac6, (q31_t)0x7e427269, (q31_t)0xeaf6b81f, (q31_t)0x7e4169e9, (q31_t)0xeaf08586, + (q31_t)0x7e40611b, (q31_t)0xeaea52fa, + (q31_t)0x7e3f57ff, (q31_t)0xeae4207a, (q31_t)0x7e3e4e95, (q31_t)0xeaddee08, (q31_t)0x7e3d44dd, (q31_t)0xead7bba3, + (q31_t)0x7e3c3ad7, (q31_t)0xead1894b, + (q31_t)0x7e3b3083, (q31_t)0xeacb56ff, (q31_t)0x7e3a25e2, (q31_t)0xeac524c1, (q31_t)0x7e391af3, (q31_t)0xeabef290, + (q31_t)0x7e380fb5, (q31_t)0xeab8c06c, + (q31_t)0x7e37042a, (q31_t)0xeab28e56, (q31_t)0x7e35f851, (q31_t)0xeaac5c4c, (q31_t)0x7e34ec2b, (q31_t)0xeaa62a4f, + (q31_t)0x7e33dfb6, (q31_t)0xea9ff860, + (q31_t)0x7e32d2f4, (q31_t)0xea99c67e, (q31_t)0x7e31c5e3, (q31_t)0xea9394a9, (q31_t)0x7e30b885, (q31_t)0xea8d62e1, + (q31_t)0x7e2faad9, (q31_t)0xea873127, + (q31_t)0x7e2e9cdf, (q31_t)0xea80ff7a, (q31_t)0x7e2d8e97, (q31_t)0xea7acdda, (q31_t)0x7e2c8002, (q31_t)0xea749c47, + (q31_t)0x7e2b711f, (q31_t)0xea6e6ac2, + (q31_t)0x7e2a61ed, (q31_t)0xea683949, (q31_t)0x7e29526e, (q31_t)0xea6207df, (q31_t)0x7e2842a2, (q31_t)0xea5bd681, + (q31_t)0x7e273287, (q31_t)0xea55a531, + (q31_t)0x7e26221f, (q31_t)0xea4f73ee, (q31_t)0x7e251168, (q31_t)0xea4942b9, (q31_t)0x7e240064, (q31_t)0xea431191, + (q31_t)0x7e22ef12, (q31_t)0xea3ce077, + (q31_t)0x7e21dd73, (q31_t)0xea36af69, (q31_t)0x7e20cb85, (q31_t)0xea307e6a, (q31_t)0x7e1fb94a, (q31_t)0xea2a4d78, + (q31_t)0x7e1ea6c1, (q31_t)0xea241c93, + (q31_t)0x7e1d93ea, (q31_t)0xea1debbb, (q31_t)0x7e1c80c5, (q31_t)0xea17baf2, (q31_t)0x7e1b6d53, (q31_t)0xea118a35, + (q31_t)0x7e1a5992, (q31_t)0xea0b5987, + (q31_t)0x7e194584, (q31_t)0xea0528e5, (q31_t)0x7e183128, (q31_t)0xe9fef852, (q31_t)0x7e171c7f, (q31_t)0xe9f8c7cc, + (q31_t)0x7e160787, (q31_t)0xe9f29753, + (q31_t)0x7e14f242, (q31_t)0xe9ec66e8, (q31_t)0x7e13dcaf, (q31_t)0xe9e6368b, (q31_t)0x7e12c6ce, (q31_t)0xe9e0063c, + (q31_t)0x7e11b0a0, (q31_t)0xe9d9d5fa, + (q31_t)0x7e109a24, (q31_t)0xe9d3a5c5, (q31_t)0x7e0f835a, (q31_t)0xe9cd759f, (q31_t)0x7e0e6c42, (q31_t)0xe9c74586, + (q31_t)0x7e0d54dc, (q31_t)0xe9c1157a, + (q31_t)0x7e0c3d29, (q31_t)0xe9bae57d, (q31_t)0x7e0b2528, (q31_t)0xe9b4b58d, (q31_t)0x7e0a0cd9, (q31_t)0xe9ae85ab, + (q31_t)0x7e08f43d, (q31_t)0xe9a855d7, + (q31_t)0x7e07db52, (q31_t)0xe9a22610, (q31_t)0x7e06c21a, (q31_t)0xe99bf658, (q31_t)0x7e05a894, (q31_t)0xe995c6ad, + (q31_t)0x7e048ec1, (q31_t)0xe98f9710, + (q31_t)0x7e0374a0, (q31_t)0xe9896781, (q31_t)0x7e025a31, (q31_t)0xe98337ff, (q31_t)0x7e013f74, (q31_t)0xe97d088c, + (q31_t)0x7e00246a, (q31_t)0xe976d926, + (q31_t)0x7dff0911, (q31_t)0xe970a9ce, (q31_t)0x7dfded6c, (q31_t)0xe96a7a85, (q31_t)0x7dfcd178, (q31_t)0xe9644b49, + (q31_t)0x7dfbb537, (q31_t)0xe95e1c1b, + (q31_t)0x7dfa98a8, (q31_t)0xe957ecfb, (q31_t)0x7df97bcb, (q31_t)0xe951bde9, (q31_t)0x7df85ea0, (q31_t)0xe94b8ee5, + (q31_t)0x7df74128, (q31_t)0xe9455fef, + (q31_t)0x7df62362, (q31_t)0xe93f3107, (q31_t)0x7df5054f, (q31_t)0xe939022d, (q31_t)0x7df3e6ee, (q31_t)0xe932d361, + (q31_t)0x7df2c83f, (q31_t)0xe92ca4a4, + (q31_t)0x7df1a942, (q31_t)0xe92675f4, (q31_t)0x7df089f8, (q31_t)0xe9204752, (q31_t)0x7def6a60, (q31_t)0xe91a18bf, + (q31_t)0x7dee4a7a, (q31_t)0xe913ea39, + (q31_t)0x7ded2a47, (q31_t)0xe90dbbc2, (q31_t)0x7dec09c6, (q31_t)0xe9078d59, (q31_t)0x7deae8f7, (q31_t)0xe9015efe, + (q31_t)0x7de9c7da, (q31_t)0xe8fb30b1, + (q31_t)0x7de8a670, (q31_t)0xe8f50273, (q31_t)0x7de784b9, (q31_t)0xe8eed443, (q31_t)0x7de662b3, (q31_t)0xe8e8a621, + (q31_t)0x7de54060, (q31_t)0xe8e2780d, + (q31_t)0x7de41dc0, (q31_t)0xe8dc4a07, (q31_t)0x7de2fad1, (q31_t)0xe8d61c10, (q31_t)0x7de1d795, (q31_t)0xe8cfee27, + (q31_t)0x7de0b40b, (q31_t)0xe8c9c04c, + (q31_t)0x7ddf9034, (q31_t)0xe8c39280, (q31_t)0x7dde6c0f, (q31_t)0xe8bd64c2, (q31_t)0x7ddd479d, (q31_t)0xe8b73712, + (q31_t)0x7ddc22dc, (q31_t)0xe8b10971, + (q31_t)0x7ddafdce, (q31_t)0xe8aadbde, (q31_t)0x7dd9d873, (q31_t)0xe8a4ae59, (q31_t)0x7dd8b2ca, (q31_t)0xe89e80e3, + (q31_t)0x7dd78cd3, (q31_t)0xe898537b, + (q31_t)0x7dd6668f, (q31_t)0xe8922622, (q31_t)0x7dd53ffc, (q31_t)0xe88bf8d7, (q31_t)0x7dd4191d, (q31_t)0xe885cb9a, + (q31_t)0x7dd2f1f0, (q31_t)0xe87f9e6c, + (q31_t)0x7dd1ca75, (q31_t)0xe879714d, (q31_t)0x7dd0a2ac, (q31_t)0xe873443c, (q31_t)0x7dcf7a96, (q31_t)0xe86d173a, + (q31_t)0x7dce5232, (q31_t)0xe866ea46, + (q31_t)0x7dcd2981, (q31_t)0xe860bd61, (q31_t)0x7dcc0082, (q31_t)0xe85a908a, (q31_t)0x7dcad736, (q31_t)0xe85463c2, + (q31_t)0x7dc9ad9c, (q31_t)0xe84e3708, + (q31_t)0x7dc883b4, (q31_t)0xe8480a5d, (q31_t)0x7dc7597f, (q31_t)0xe841ddc1, (q31_t)0x7dc62efc, (q31_t)0xe83bb133, + (q31_t)0x7dc5042b, (q31_t)0xe83584b4, + (q31_t)0x7dc3d90d, (q31_t)0xe82f5844, (q31_t)0x7dc2ada2, (q31_t)0xe8292be3, (q31_t)0x7dc181e8, (q31_t)0xe822ff90, + (q31_t)0x7dc055e2, (q31_t)0xe81cd34b, + (q31_t)0x7dbf298d, (q31_t)0xe816a716, (q31_t)0x7dbdfceb, (q31_t)0xe8107aef, (q31_t)0x7dbccffc, (q31_t)0xe80a4ed7, + (q31_t)0x7dbba2bf, (q31_t)0xe80422ce, + (q31_t)0x7dba7534, (q31_t)0xe7fdf6d4, (q31_t)0x7db9475c, (q31_t)0xe7f7cae8, (q31_t)0x7db81936, (q31_t)0xe7f19f0c, + (q31_t)0x7db6eac3, (q31_t)0xe7eb733e, + (q31_t)0x7db5bc02, (q31_t)0xe7e5477f, (q31_t)0x7db48cf4, (q31_t)0xe7df1bcf, (q31_t)0x7db35d98, (q31_t)0xe7d8f02d, + (q31_t)0x7db22def, (q31_t)0xe7d2c49b, + (q31_t)0x7db0fdf8, (q31_t)0xe7cc9917, (q31_t)0x7dafcdb3, (q31_t)0xe7c66da3, (q31_t)0x7dae9d21, (q31_t)0xe7c0423d, + (q31_t)0x7dad6c42, (q31_t)0xe7ba16e7, + (q31_t)0x7dac3b15, (q31_t)0xe7b3eb9f, (q31_t)0x7dab099a, (q31_t)0xe7adc066, (q31_t)0x7da9d7d2, (q31_t)0xe7a7953d, + (q31_t)0x7da8a5bc, (q31_t)0xe7a16a22, + (q31_t)0x7da77359, (q31_t)0xe79b3f16, (q31_t)0x7da640a9, (q31_t)0xe795141a, (q31_t)0x7da50dab, (q31_t)0xe78ee92c, + (q31_t)0x7da3da5f, (q31_t)0xe788be4e, + (q31_t)0x7da2a6c6, (q31_t)0xe782937e, (q31_t)0x7da172df, (q31_t)0xe77c68be, (q31_t)0x7da03eab, (q31_t)0xe7763e0d, + (q31_t)0x7d9f0a29, (q31_t)0xe770136b, + (q31_t)0x7d9dd55a, (q31_t)0xe769e8d8, (q31_t)0x7d9ca03e, (q31_t)0xe763be55, (q31_t)0x7d9b6ad3, (q31_t)0xe75d93e0, + (q31_t)0x7d9a351c, (q31_t)0xe757697b, + (q31_t)0x7d98ff17, (q31_t)0xe7513f25, (q31_t)0x7d97c8c4, (q31_t)0xe74b14de, (q31_t)0x7d969224, (q31_t)0xe744eaa6, + (q31_t)0x7d955b37, (q31_t)0xe73ec07e, + (q31_t)0x7d9423fc, (q31_t)0xe7389665, (q31_t)0x7d92ec73, (q31_t)0xe7326c5b, (q31_t)0x7d91b49e, (q31_t)0xe72c4260, + (q31_t)0x7d907c7a, (q31_t)0xe7261875, + (q31_t)0x7d8f4409, (q31_t)0xe71fee99, (q31_t)0x7d8e0b4b, (q31_t)0xe719c4cd, (q31_t)0x7d8cd240, (q31_t)0xe7139b10, + (q31_t)0x7d8b98e6, (q31_t)0xe70d7162, + (q31_t)0x7d8a5f40, (q31_t)0xe70747c4, (q31_t)0x7d89254c, (q31_t)0xe7011e35, (q31_t)0x7d87eb0a, (q31_t)0xe6faf4b5, + (q31_t)0x7d86b07c, (q31_t)0xe6f4cb45, + (q31_t)0x7d85759f, (q31_t)0xe6eea1e4, (q31_t)0x7d843a76, (q31_t)0xe6e87893, (q31_t)0x7d82fefe, (q31_t)0xe6e24f51, + (q31_t)0x7d81c33a, (q31_t)0xe6dc261f, + (q31_t)0x7d808728, (q31_t)0xe6d5fcfc, (q31_t)0x7d7f4ac8, (q31_t)0xe6cfd3e9, (q31_t)0x7d7e0e1c, (q31_t)0xe6c9aae5, + (q31_t)0x7d7cd121, (q31_t)0xe6c381f1, + (q31_t)0x7d7b93da, (q31_t)0xe6bd590d, (q31_t)0x7d7a5645, (q31_t)0xe6b73038, (q31_t)0x7d791862, (q31_t)0xe6b10772, + (q31_t)0x7d77da32, (q31_t)0xe6aadebc, + (q31_t)0x7d769bb5, (q31_t)0xe6a4b616, (q31_t)0x7d755cea, (q31_t)0xe69e8d80, (q31_t)0x7d741dd2, (q31_t)0xe69864f9, + (q31_t)0x7d72de6d, (q31_t)0xe6923c82, + (q31_t)0x7d719eba, (q31_t)0xe68c141a, (q31_t)0x7d705eba, (q31_t)0xe685ebc2, (q31_t)0x7d6f1e6c, (q31_t)0xe67fc37a, + (q31_t)0x7d6dddd2, (q31_t)0xe6799b42, + (q31_t)0x7d6c9ce9, (q31_t)0xe6737319, (q31_t)0x7d6b5bb4, (q31_t)0xe66d4b01, (q31_t)0x7d6a1a31, (q31_t)0xe66722f7, + (q31_t)0x7d68d860, (q31_t)0xe660fafe, + (q31_t)0x7d679642, (q31_t)0xe65ad315, (q31_t)0x7d6653d7, (q31_t)0xe654ab3b, (q31_t)0x7d65111f, (q31_t)0xe64e8371, + (q31_t)0x7d63ce19, (q31_t)0xe6485bb7, + (q31_t)0x7d628ac6, (q31_t)0xe642340d, (q31_t)0x7d614725, (q31_t)0xe63c0c73, (q31_t)0x7d600338, (q31_t)0xe635e4e9, + (q31_t)0x7d5ebefc, (q31_t)0xe62fbd6e, + (q31_t)0x7d5d7a74, (q31_t)0xe6299604, (q31_t)0x7d5c359e, (q31_t)0xe6236ea9, (q31_t)0x7d5af07b, (q31_t)0xe61d475e, + (q31_t)0x7d59ab0a, (q31_t)0xe6172024, + (q31_t)0x7d58654d, (q31_t)0xe610f8f9, (q31_t)0x7d571f41, (q31_t)0xe60ad1de, (q31_t)0x7d55d8e9, (q31_t)0xe604aad4, + (q31_t)0x7d549243, (q31_t)0xe5fe83d9, + (q31_t)0x7d534b50, (q31_t)0xe5f85cef, (q31_t)0x7d520410, (q31_t)0xe5f23614, (q31_t)0x7d50bc82, (q31_t)0xe5ec0f4a, + (q31_t)0x7d4f74a7, (q31_t)0xe5e5e88f, + (q31_t)0x7d4e2c7f, (q31_t)0xe5dfc1e5, (q31_t)0x7d4ce409, (q31_t)0xe5d99b4b, (q31_t)0x7d4b9b46, (q31_t)0xe5d374c1, + (q31_t)0x7d4a5236, (q31_t)0xe5cd4e47, + (q31_t)0x7d4908d9, (q31_t)0xe5c727dd, (q31_t)0x7d47bf2e, (q31_t)0xe5c10184, (q31_t)0x7d467536, (q31_t)0xe5badb3a, + (q31_t)0x7d452af1, (q31_t)0xe5b4b501, + (q31_t)0x7d43e05e, (q31_t)0xe5ae8ed8, (q31_t)0x7d42957e, (q31_t)0xe5a868bf, (q31_t)0x7d414a51, (q31_t)0xe5a242b7, + (q31_t)0x7d3ffed7, (q31_t)0xe59c1cbf, + (q31_t)0x7d3eb30f, (q31_t)0xe595f6d7, (q31_t)0x7d3d66fa, (q31_t)0xe58fd0ff, (q31_t)0x7d3c1a98, (q31_t)0xe589ab38, + (q31_t)0x7d3acde9, (q31_t)0xe5838581, + (q31_t)0x7d3980ec, (q31_t)0xe57d5fda, (q31_t)0x7d3833a2, (q31_t)0xe5773a44, (q31_t)0x7d36e60b, (q31_t)0xe57114be, + (q31_t)0x7d359827, (q31_t)0xe56aef49, + (q31_t)0x7d3449f5, (q31_t)0xe564c9e3, (q31_t)0x7d32fb76, (q31_t)0xe55ea48f, (q31_t)0x7d31acaa, (q31_t)0xe5587f4a, + (q31_t)0x7d305d91, (q31_t)0xe5525a17, + (q31_t)0x7d2f0e2b, (q31_t)0xe54c34f3, (q31_t)0x7d2dbe77, (q31_t)0xe5460fe0, (q31_t)0x7d2c6e76, (q31_t)0xe53feade, + (q31_t)0x7d2b1e28, (q31_t)0xe539c5ec, + (q31_t)0x7d29cd8c, (q31_t)0xe533a10a, (q31_t)0x7d287ca4, (q31_t)0xe52d7c39, (q31_t)0x7d272b6e, (q31_t)0xe5275779, + (q31_t)0x7d25d9eb, (q31_t)0xe52132c9, + (q31_t)0x7d24881b, (q31_t)0xe51b0e2a, (q31_t)0x7d2335fe, (q31_t)0xe514e99b, (q31_t)0x7d21e393, (q31_t)0xe50ec51d, + (q31_t)0x7d2090db, (q31_t)0xe508a0b0, + (q31_t)0x7d1f3dd6, (q31_t)0xe5027c53, (q31_t)0x7d1dea84, (q31_t)0xe4fc5807, (q31_t)0x7d1c96e5, (q31_t)0xe4f633cc, + (q31_t)0x7d1b42f9, (q31_t)0xe4f00fa1, + (q31_t)0x7d19eebf, (q31_t)0xe4e9eb87, (q31_t)0x7d189a38, (q31_t)0xe4e3c77d, (q31_t)0x7d174564, (q31_t)0xe4dda385, + (q31_t)0x7d15f043, (q31_t)0xe4d77f9d, + (q31_t)0x7d149ad5, (q31_t)0xe4d15bc6, (q31_t)0x7d134519, (q31_t)0xe4cb37ff, (q31_t)0x7d11ef11, (q31_t)0xe4c5144a, + (q31_t)0x7d1098bb, (q31_t)0xe4bef0a5, + (q31_t)0x7d0f4218, (q31_t)0xe4b8cd11, (q31_t)0x7d0deb28, (q31_t)0xe4b2a98e, (q31_t)0x7d0c93eb, (q31_t)0xe4ac861b, + (q31_t)0x7d0b3c60, (q31_t)0xe4a662ba, + (q31_t)0x7d09e489, (q31_t)0xe4a03f69, (q31_t)0x7d088c64, (q31_t)0xe49a1c29, (q31_t)0x7d0733f3, (q31_t)0xe493f8fb, + (q31_t)0x7d05db34, (q31_t)0xe48dd5dd, + (q31_t)0x7d048228, (q31_t)0xe487b2d0, (q31_t)0x7d0328cf, (q31_t)0xe4818fd4, (q31_t)0x7d01cf29, (q31_t)0xe47b6ce9, + (q31_t)0x7d007535, (q31_t)0xe4754a0e, + (q31_t)0x7cff1af5, (q31_t)0xe46f2745, (q31_t)0x7cfdc068, (q31_t)0xe469048d, (q31_t)0x7cfc658d, (q31_t)0xe462e1e6, + (q31_t)0x7cfb0a65, (q31_t)0xe45cbf50, + (q31_t)0x7cf9aef0, (q31_t)0xe4569ccb, (q31_t)0x7cf8532f, (q31_t)0xe4507a57, (q31_t)0x7cf6f720, (q31_t)0xe44a57f4, + (q31_t)0x7cf59ac4, (q31_t)0xe44435a2, + (q31_t)0x7cf43e1a, (q31_t)0xe43e1362, (q31_t)0x7cf2e124, (q31_t)0xe437f132, (q31_t)0x7cf183e1, (q31_t)0xe431cf14, + (q31_t)0x7cf02651, (q31_t)0xe42bad07, + (q31_t)0x7ceec873, (q31_t)0xe4258b0a, (q31_t)0x7ced6a49, (q31_t)0xe41f6920, (q31_t)0x7cec0bd1, (q31_t)0xe4194746, + (q31_t)0x7ceaad0c, (q31_t)0xe413257d, + (q31_t)0x7ce94dfb, (q31_t)0xe40d03c6, (q31_t)0x7ce7ee9c, (q31_t)0xe406e220, (q31_t)0x7ce68ef0, (q31_t)0xe400c08b, + (q31_t)0x7ce52ef7, (q31_t)0xe3fa9f08, + (q31_t)0x7ce3ceb2, (q31_t)0xe3f47d96, (q31_t)0x7ce26e1f, (q31_t)0xe3ee5c35, (q31_t)0x7ce10d3f, (q31_t)0xe3e83ae5, + (q31_t)0x7cdfac12, (q31_t)0xe3e219a7, + (q31_t)0x7cde4a98, (q31_t)0xe3dbf87a, (q31_t)0x7cdce8d1, (q31_t)0xe3d5d75e, (q31_t)0x7cdb86bd, (q31_t)0xe3cfb654, + (q31_t)0x7cda245c, (q31_t)0xe3c9955b, + (q31_t)0x7cd8c1ae, (q31_t)0xe3c37474, (q31_t)0x7cd75eb3, (q31_t)0xe3bd539e, (q31_t)0x7cd5fb6a, (q31_t)0xe3b732d9, + (q31_t)0x7cd497d5, (q31_t)0xe3b11226, + (q31_t)0x7cd333f3, (q31_t)0xe3aaf184, (q31_t)0x7cd1cfc4, (q31_t)0xe3a4d0f4, (q31_t)0x7cd06b48, (q31_t)0xe39eb075, + (q31_t)0x7ccf067f, (q31_t)0xe3989008, + (q31_t)0x7ccda169, (q31_t)0xe3926fad, (q31_t)0x7ccc3c06, (q31_t)0xe38c4f63, (q31_t)0x7ccad656, (q31_t)0xe3862f2a, + (q31_t)0x7cc97059, (q31_t)0xe3800f03, + (q31_t)0x7cc80a0f, (q31_t)0xe379eeed, (q31_t)0x7cc6a378, (q31_t)0xe373ceea, (q31_t)0x7cc53c94, (q31_t)0xe36daef7, + (q31_t)0x7cc3d563, (q31_t)0xe3678f17, + (q31_t)0x7cc26de5, (q31_t)0xe3616f48, (q31_t)0x7cc1061a, (q31_t)0xe35b4f8b, (q31_t)0x7cbf9e03, (q31_t)0xe3552fdf, + (q31_t)0x7cbe359e, (q31_t)0xe34f1045, + (q31_t)0x7cbcccec, (q31_t)0xe348f0bd, (q31_t)0x7cbb63ee, (q31_t)0xe342d146, (q31_t)0x7cb9faa2, (q31_t)0xe33cb1e1, + (q31_t)0x7cb8910a, (q31_t)0xe336928e, + (q31_t)0x7cb72724, (q31_t)0xe330734d, (q31_t)0x7cb5bcf2, (q31_t)0xe32a541d, (q31_t)0x7cb45272, (q31_t)0xe3243500, + (q31_t)0x7cb2e7a6, (q31_t)0xe31e15f4, + (q31_t)0x7cb17c8d, (q31_t)0xe317f6fa, (q31_t)0x7cb01127, (q31_t)0xe311d811, (q31_t)0x7caea574, (q31_t)0xe30bb93b, + (q31_t)0x7cad3974, (q31_t)0xe3059a76, + (q31_t)0x7cabcd28, (q31_t)0xe2ff7bc3, (q31_t)0x7caa608e, (q31_t)0xe2f95d23, (q31_t)0x7ca8f3a7, (q31_t)0xe2f33e94, + (q31_t)0x7ca78674, (q31_t)0xe2ed2017, + (q31_t)0x7ca618f3, (q31_t)0xe2e701ac, (q31_t)0x7ca4ab26, (q31_t)0xe2e0e352, (q31_t)0x7ca33d0c, (q31_t)0xe2dac50b, + (q31_t)0x7ca1cea5, (q31_t)0xe2d4a6d6, + (q31_t)0x7ca05ff1, (q31_t)0xe2ce88b3, (q31_t)0x7c9ef0f0, (q31_t)0xe2c86aa2, (q31_t)0x7c9d81a3, (q31_t)0xe2c24ca2, + (q31_t)0x7c9c1208, (q31_t)0xe2bc2eb5, + (q31_t)0x7c9aa221, (q31_t)0xe2b610da, (q31_t)0x7c9931ec, (q31_t)0xe2aff311, (q31_t)0x7c97c16b, (q31_t)0xe2a9d55a, + (q31_t)0x7c96509d, (q31_t)0xe2a3b7b5, + (q31_t)0x7c94df83, (q31_t)0xe29d9a23, (q31_t)0x7c936e1b, (q31_t)0xe2977ca2, (q31_t)0x7c91fc66, (q31_t)0xe2915f34, + (q31_t)0x7c908a65, (q31_t)0xe28b41d7, + (q31_t)0x7c8f1817, (q31_t)0xe285248d, (q31_t)0x7c8da57c, (q31_t)0xe27f0755, (q31_t)0x7c8c3294, (q31_t)0xe278ea30, + (q31_t)0x7c8abf5f, (q31_t)0xe272cd1c, + (q31_t)0x7c894bde, (q31_t)0xe26cb01b, (q31_t)0x7c87d810, (q31_t)0xe266932c, (q31_t)0x7c8663f4, (q31_t)0xe260764f, + (q31_t)0x7c84ef8c, (q31_t)0xe25a5984, + (q31_t)0x7c837ad8, (q31_t)0xe2543ccc, (q31_t)0x7c8205d6, (q31_t)0xe24e2026, (q31_t)0x7c809088, (q31_t)0xe2480393, + (q31_t)0x7c7f1aed, (q31_t)0xe241e711, + (q31_t)0x7c7da505, (q31_t)0xe23bcaa2, (q31_t)0x7c7c2ed0, (q31_t)0xe235ae46, (q31_t)0x7c7ab84e, (q31_t)0xe22f91fc, + (q31_t)0x7c794180, (q31_t)0xe22975c4, + (q31_t)0x7c77ca65, (q31_t)0xe223599e, (q31_t)0x7c7652fd, (q31_t)0xe21d3d8b, (q31_t)0x7c74db48, (q31_t)0xe217218b, + (q31_t)0x7c736347, (q31_t)0xe211059d, + (q31_t)0x7c71eaf9, (q31_t)0xe20ae9c1, (q31_t)0x7c70725e, (q31_t)0xe204cdf8, (q31_t)0x7c6ef976, (q31_t)0xe1feb241, + (q31_t)0x7c6d8041, (q31_t)0xe1f8969d, + (q31_t)0x7c6c06c0, (q31_t)0xe1f27b0b, (q31_t)0x7c6a8cf2, (q31_t)0xe1ec5f8c, (q31_t)0x7c6912d7, (q31_t)0xe1e64420, + (q31_t)0x7c679870, (q31_t)0xe1e028c6, + (q31_t)0x7c661dbc, (q31_t)0xe1da0d7e, (q31_t)0x7c64a2bb, (q31_t)0xe1d3f24a, (q31_t)0x7c63276d, (q31_t)0xe1cdd727, + (q31_t)0x7c61abd3, (q31_t)0xe1c7bc18, + (q31_t)0x7c602fec, (q31_t)0xe1c1a11b, (q31_t)0x7c5eb3b8, (q31_t)0xe1bb8631, (q31_t)0x7c5d3737, (q31_t)0xe1b56b59, + (q31_t)0x7c5bba6a, (q31_t)0xe1af5094, + (q31_t)0x7c5a3d50, (q31_t)0xe1a935e2, (q31_t)0x7c58bfe9, (q31_t)0xe1a31b42, (q31_t)0x7c574236, (q31_t)0xe19d00b6, + (q31_t)0x7c55c436, (q31_t)0xe196e63c, + (q31_t)0x7c5445e9, (q31_t)0xe190cbd4, (q31_t)0x7c52c74f, (q31_t)0xe18ab180, (q31_t)0x7c514869, (q31_t)0xe184973e, + (q31_t)0x7c4fc936, (q31_t)0xe17e7d0f, + (q31_t)0x7c4e49b7, (q31_t)0xe17862f3, (q31_t)0x7c4cc9ea, (q31_t)0xe17248ea, (q31_t)0x7c4b49d2, (q31_t)0xe16c2ef4, + (q31_t)0x7c49c96c, (q31_t)0xe1661510, + (q31_t)0x7c4848ba, (q31_t)0xe15ffb3f, (q31_t)0x7c46c7bb, (q31_t)0xe159e182, (q31_t)0x7c45466f, (q31_t)0xe153c7d7, + (q31_t)0x7c43c4d7, (q31_t)0xe14dae3f, + (q31_t)0x7c4242f2, (q31_t)0xe14794ba, (q31_t)0x7c40c0c1, (q31_t)0xe1417b48, (q31_t)0x7c3f3e42, (q31_t)0xe13b61e9, + (q31_t)0x7c3dbb78, (q31_t)0xe135489d, + (q31_t)0x7c3c3860, (q31_t)0xe12f2f63, (q31_t)0x7c3ab4fc, (q31_t)0xe129163d, (q31_t)0x7c39314b, (q31_t)0xe122fd2a, + (q31_t)0x7c37ad4e, (q31_t)0xe11ce42a, + (q31_t)0x7c362904, (q31_t)0xe116cb3d, (q31_t)0x7c34a46d, (q31_t)0xe110b263, (q31_t)0x7c331f8a, (q31_t)0xe10a999c, + (q31_t)0x7c319a5a, (q31_t)0xe10480e9, + (q31_t)0x7c3014de, (q31_t)0xe0fe6848, (q31_t)0x7c2e8f15, (q31_t)0xe0f84fbb, (q31_t)0x7c2d08ff, (q31_t)0xe0f23740, + (q31_t)0x7c2b829d, (q31_t)0xe0ec1ed9, + (q31_t)0x7c29fbee, (q31_t)0xe0e60685, (q31_t)0x7c2874f3, (q31_t)0xe0dfee44, (q31_t)0x7c26edab, (q31_t)0xe0d9d616, + (q31_t)0x7c256616, (q31_t)0xe0d3bdfc, + (q31_t)0x7c23de35, (q31_t)0xe0cda5f5, (q31_t)0x7c225607, (q31_t)0xe0c78e01, (q31_t)0x7c20cd8d, (q31_t)0xe0c17620, + (q31_t)0x7c1f44c6, (q31_t)0xe0bb5e53, + (q31_t)0x7c1dbbb3, (q31_t)0xe0b54698, (q31_t)0x7c1c3253, (q31_t)0xe0af2ef2, (q31_t)0x7c1aa8a6, (q31_t)0xe0a9175e, + (q31_t)0x7c191ead, (q31_t)0xe0a2ffde, + (q31_t)0x7c179467, (q31_t)0xe09ce871, (q31_t)0x7c1609d5, (q31_t)0xe096d117, (q31_t)0x7c147ef6, (q31_t)0xe090b9d1, + (q31_t)0x7c12f3cb, (q31_t)0xe08aa29f, + (q31_t)0x7c116853, (q31_t)0xe0848b7f, (q31_t)0x7c0fdc8f, (q31_t)0xe07e7473, (q31_t)0x7c0e507e, (q31_t)0xe0785d7b, + (q31_t)0x7c0cc421, (q31_t)0xe0724696, + (q31_t)0x7c0b3777, (q31_t)0xe06c2fc4, (q31_t)0x7c09aa80, (q31_t)0xe0661906, (q31_t)0x7c081d3d, (q31_t)0xe060025c, + (q31_t)0x7c068fae, (q31_t)0xe059ebc5, + (q31_t)0x7c0501d2, (q31_t)0xe053d541, (q31_t)0x7c0373a9, (q31_t)0xe04dbed1, (q31_t)0x7c01e534, (q31_t)0xe047a875, + (q31_t)0x7c005673, (q31_t)0xe041922c, + (q31_t)0x7bfec765, (q31_t)0xe03b7bf6, (q31_t)0x7bfd380a, (q31_t)0xe03565d5, (q31_t)0x7bfba863, (q31_t)0xe02f4fc6, + (q31_t)0x7bfa1870, (q31_t)0xe02939cc, + (q31_t)0x7bf88830, (q31_t)0xe02323e5, (q31_t)0x7bf6f7a4, (q31_t)0xe01d0e12, (q31_t)0x7bf566cb, (q31_t)0xe016f852, + (q31_t)0x7bf3d5a6, (q31_t)0xe010e2a7, + (q31_t)0x7bf24434, (q31_t)0xe00acd0e, (q31_t)0x7bf0b276, (q31_t)0xe004b78a, (q31_t)0x7bef206b, (q31_t)0xdffea219, + (q31_t)0x7bed8e14, (q31_t)0xdff88cbc, + (q31_t)0x7bebfb70, (q31_t)0xdff27773, (q31_t)0x7bea6880, (q31_t)0xdfec623e, (q31_t)0x7be8d544, (q31_t)0xdfe64d1c, + (q31_t)0x7be741bb, (q31_t)0xdfe0380e, + (q31_t)0x7be5ade6, (q31_t)0xdfda2314, (q31_t)0x7be419c4, (q31_t)0xdfd40e2e, (q31_t)0x7be28556, (q31_t)0xdfcdf95c, + (q31_t)0x7be0f09b, (q31_t)0xdfc7e49d, + (q31_t)0x7bdf5b94, (q31_t)0xdfc1cff3, (q31_t)0x7bddc641, (q31_t)0xdfbbbb5c, (q31_t)0x7bdc30a1, (q31_t)0xdfb5a6d9, + (q31_t)0x7bda9ab5, (q31_t)0xdfaf926a, + (q31_t)0x7bd9047c, (q31_t)0xdfa97e0f, (q31_t)0x7bd76df7, (q31_t)0xdfa369c8, (q31_t)0x7bd5d726, (q31_t)0xdf9d5595, + (q31_t)0x7bd44008, (q31_t)0xdf974176, + (q31_t)0x7bd2a89e, (q31_t)0xdf912d6b, (q31_t)0x7bd110e8, (q31_t)0xdf8b1974, (q31_t)0x7bcf78e5, (q31_t)0xdf850591, + (q31_t)0x7bcde095, (q31_t)0xdf7ef1c2, + (q31_t)0x7bcc47fa, (q31_t)0xdf78de07, (q31_t)0x7bcaaf12, (q31_t)0xdf72ca60, (q31_t)0x7bc915dd, (q31_t)0xdf6cb6cd, + (q31_t)0x7bc77c5d, (q31_t)0xdf66a34e, + (q31_t)0x7bc5e290, (q31_t)0xdf608fe4, (q31_t)0x7bc44876, (q31_t)0xdf5a7c8d, (q31_t)0x7bc2ae10, (q31_t)0xdf54694b, + (q31_t)0x7bc1135e, (q31_t)0xdf4e561c, + (q31_t)0x7bbf7860, (q31_t)0xdf484302, (q31_t)0x7bbddd15, (q31_t)0xdf422ffd, (q31_t)0x7bbc417e, (q31_t)0xdf3c1d0b, + (q31_t)0x7bbaa59a, (q31_t)0xdf360a2d, + (q31_t)0x7bb9096b, (q31_t)0xdf2ff764, (q31_t)0x7bb76cef, (q31_t)0xdf29e4af, (q31_t)0x7bb5d026, (q31_t)0xdf23d20e, + (q31_t)0x7bb43311, (q31_t)0xdf1dbf82, + (q31_t)0x7bb295b0, (q31_t)0xdf17ad0a, (q31_t)0x7bb0f803, (q31_t)0xdf119aa6, (q31_t)0x7baf5a09, (q31_t)0xdf0b8856, + (q31_t)0x7badbbc3, (q31_t)0xdf05761b, + (q31_t)0x7bac1d31, (q31_t)0xdeff63f4, (q31_t)0x7baa7e53, (q31_t)0xdef951e2, (q31_t)0x7ba8df28, (q31_t)0xdef33fe3, + (q31_t)0x7ba73fb1, (q31_t)0xdeed2dfa, + (q31_t)0x7ba59fee, (q31_t)0xdee71c24, (q31_t)0x7ba3ffde, (q31_t)0xdee10a63, (q31_t)0x7ba25f82, (q31_t)0xdedaf8b7, + (q31_t)0x7ba0beda, (q31_t)0xded4e71f, + (q31_t)0x7b9f1de6, (q31_t)0xdeced59b, (q31_t)0x7b9d7ca5, (q31_t)0xdec8c42c, (q31_t)0x7b9bdb18, (q31_t)0xdec2b2d1, + (q31_t)0x7b9a393f, (q31_t)0xdebca18b, + (q31_t)0x7b989719, (q31_t)0xdeb69059, (q31_t)0x7b96f4a8, (q31_t)0xdeb07f3c, (q31_t)0x7b9551ea, (q31_t)0xdeaa6e34, + (q31_t)0x7b93aee0, (q31_t)0xdea45d40, + (q31_t)0x7b920b89, (q31_t)0xde9e4c60, (q31_t)0x7b9067e7, (q31_t)0xde983b95, (q31_t)0x7b8ec3f8, (q31_t)0xde922adf, + (q31_t)0x7b8d1fbd, (q31_t)0xde8c1a3e, + (q31_t)0x7b8b7b36, (q31_t)0xde8609b1, (q31_t)0x7b89d662, (q31_t)0xde7ff938, (q31_t)0x7b883143, (q31_t)0xde79e8d5, + (q31_t)0x7b868bd7, (q31_t)0xde73d886, + (q31_t)0x7b84e61f, (q31_t)0xde6dc84b, (q31_t)0x7b83401b, (q31_t)0xde67b826, (q31_t)0x7b8199ca, (q31_t)0xde61a815, + (q31_t)0x7b7ff32e, (q31_t)0xde5b9819, + (q31_t)0x7b7e4c45, (q31_t)0xde558831, (q31_t)0x7b7ca510, (q31_t)0xde4f785f, (q31_t)0x7b7afd8f, (q31_t)0xde4968a1, + (q31_t)0x7b7955c2, (q31_t)0xde4358f8, + (q31_t)0x7b77ada8, (q31_t)0xde3d4964, (q31_t)0x7b760542, (q31_t)0xde3739e4, (q31_t)0x7b745c91, (q31_t)0xde312a7a, + (q31_t)0x7b72b393, (q31_t)0xde2b1b24, + (q31_t)0x7b710a49, (q31_t)0xde250be3, (q31_t)0x7b6f60b2, (q31_t)0xde1efcb7, (q31_t)0x7b6db6d0, (q31_t)0xde18eda0, + (q31_t)0x7b6c0ca2, (q31_t)0xde12de9e, + (q31_t)0x7b6a6227, (q31_t)0xde0ccfb1, (q31_t)0x7b68b760, (q31_t)0xde06c0d9, (q31_t)0x7b670c4d, (q31_t)0xde00b216, + (q31_t)0x7b6560ee, (q31_t)0xddfaa367, + (q31_t)0x7b63b543, (q31_t)0xddf494ce, (q31_t)0x7b62094c, (q31_t)0xddee8649, (q31_t)0x7b605d09, (q31_t)0xdde877da, + (q31_t)0x7b5eb079, (q31_t)0xdde26980, + (q31_t)0x7b5d039e, (q31_t)0xdddc5b3b, (q31_t)0x7b5b5676, (q31_t)0xddd64d0a, (q31_t)0x7b59a902, (q31_t)0xddd03eef, + (q31_t)0x7b57fb42, (q31_t)0xddca30e9, + (q31_t)0x7b564d36, (q31_t)0xddc422f8, (q31_t)0x7b549ede, (q31_t)0xddbe151d, (q31_t)0x7b52f03a, (q31_t)0xddb80756, + (q31_t)0x7b51414a, (q31_t)0xddb1f9a4, + (q31_t)0x7b4f920e, (q31_t)0xddabec08, (q31_t)0x7b4de286, (q31_t)0xdda5de81, (q31_t)0x7b4c32b1, (q31_t)0xdd9fd10f, + (q31_t)0x7b4a8291, (q31_t)0xdd99c3b2, + (q31_t)0x7b48d225, (q31_t)0xdd93b66a, (q31_t)0x7b47216c, (q31_t)0xdd8da938, (q31_t)0x7b457068, (q31_t)0xdd879c1b, + (q31_t)0x7b43bf17, (q31_t)0xdd818f13, + (q31_t)0x7b420d7a, (q31_t)0xdd7b8220, (q31_t)0x7b405b92, (q31_t)0xdd757543, (q31_t)0x7b3ea95d, (q31_t)0xdd6f687b, + (q31_t)0x7b3cf6dc, (q31_t)0xdd695bc9, + (q31_t)0x7b3b4410, (q31_t)0xdd634f2b, (q31_t)0x7b3990f7, (q31_t)0xdd5d42a3, (q31_t)0x7b37dd92, (q31_t)0xdd573631, + (q31_t)0x7b3629e1, (q31_t)0xdd5129d4, + (q31_t)0x7b3475e5, (q31_t)0xdd4b1d8c, (q31_t)0x7b32c19c, (q31_t)0xdd451159, (q31_t)0x7b310d07, (q31_t)0xdd3f053c, + (q31_t)0x7b2f5826, (q31_t)0xdd38f935, + (q31_t)0x7b2da2fa, (q31_t)0xdd32ed43, (q31_t)0x7b2bed81, (q31_t)0xdd2ce166, (q31_t)0x7b2a37bc, (q31_t)0xdd26d59f, + (q31_t)0x7b2881ac, (q31_t)0xdd20c9ed, + (q31_t)0x7b26cb4f, (q31_t)0xdd1abe51, (q31_t)0x7b2514a6, (q31_t)0xdd14b2ca, (q31_t)0x7b235db2, (q31_t)0xdd0ea759, + (q31_t)0x7b21a671, (q31_t)0xdd089bfe, + (q31_t)0x7b1feee5, (q31_t)0xdd0290b8, (q31_t)0x7b1e370d, (q31_t)0xdcfc8588, (q31_t)0x7b1c7ee8, (q31_t)0xdcf67a6d, + (q31_t)0x7b1ac678, (q31_t)0xdcf06f68, + (q31_t)0x7b190dbc, (q31_t)0xdcea6478, (q31_t)0x7b1754b3, (q31_t)0xdce4599e, (q31_t)0x7b159b5f, (q31_t)0xdcde4eda, + (q31_t)0x7b13e1bf, (q31_t)0xdcd8442b, + (q31_t)0x7b1227d3, (q31_t)0xdcd23993, (q31_t)0x7b106d9b, (q31_t)0xdccc2f0f, (q31_t)0x7b0eb318, (q31_t)0xdcc624a2, + (q31_t)0x7b0cf848, (q31_t)0xdcc01a4a, + (q31_t)0x7b0b3d2c, (q31_t)0xdcba1008, (q31_t)0x7b0981c5, (q31_t)0xdcb405dc, (q31_t)0x7b07c612, (q31_t)0xdcadfbc5, + (q31_t)0x7b060a12, (q31_t)0xdca7f1c5, + (q31_t)0x7b044dc7, (q31_t)0xdca1e7da, (q31_t)0x7b029130, (q31_t)0xdc9bde05, (q31_t)0x7b00d44d, (q31_t)0xdc95d446, + (q31_t)0x7aff171e, (q31_t)0xdc8fca9c, + (q31_t)0x7afd59a4, (q31_t)0xdc89c109, (q31_t)0x7afb9bdd, (q31_t)0xdc83b78b, (q31_t)0x7af9ddcb, (q31_t)0xdc7dae23, + (q31_t)0x7af81f6c, (q31_t)0xdc77a4d2, + (q31_t)0x7af660c2, (q31_t)0xdc719b96, (q31_t)0x7af4a1cc, (q31_t)0xdc6b9270, (q31_t)0x7af2e28b, (q31_t)0xdc658960, + (q31_t)0x7af122fd, (q31_t)0xdc5f8066, + (q31_t)0x7aef6323, (q31_t)0xdc597781, (q31_t)0x7aeda2fe, (q31_t)0xdc536eb3, (q31_t)0x7aebe28d, (q31_t)0xdc4d65fb, + (q31_t)0x7aea21d0, (q31_t)0xdc475d59, + (q31_t)0x7ae860c7, (q31_t)0xdc4154cd, (q31_t)0x7ae69f73, (q31_t)0xdc3b4c57, (q31_t)0x7ae4ddd2, (q31_t)0xdc3543f7, + (q31_t)0x7ae31be6, (q31_t)0xdc2f3bad, + (q31_t)0x7ae159ae, (q31_t)0xdc293379, (q31_t)0x7adf972a, (q31_t)0xdc232b5c, (q31_t)0x7addd45b, (q31_t)0xdc1d2354, + (q31_t)0x7adc113f, (q31_t)0xdc171b63, + (q31_t)0x7ada4dd8, (q31_t)0xdc111388, (q31_t)0x7ad88a25, (q31_t)0xdc0b0bc2, (q31_t)0x7ad6c626, (q31_t)0xdc050414, + (q31_t)0x7ad501dc, (q31_t)0xdbfefc7b, + (q31_t)0x7ad33d45, (q31_t)0xdbf8f4f8, (q31_t)0x7ad17863, (q31_t)0xdbf2ed8c, (q31_t)0x7acfb336, (q31_t)0xdbece636, + (q31_t)0x7acdedbc, (q31_t)0xdbe6def6, + (q31_t)0x7acc27f7, (q31_t)0xdbe0d7cd, (q31_t)0x7aca61e6, (q31_t)0xdbdad0b9, (q31_t)0x7ac89b89, (q31_t)0xdbd4c9bc, + (q31_t)0x7ac6d4e0, (q31_t)0xdbcec2d6, + (q31_t)0x7ac50dec, (q31_t)0xdbc8bc06, (q31_t)0x7ac346ac, (q31_t)0xdbc2b54c, (q31_t)0x7ac17f20, (q31_t)0xdbbcaea8, + (q31_t)0x7abfb749, (q31_t)0xdbb6a81b, + (q31_t)0x7abdef25, (q31_t)0xdbb0a1a4, (q31_t)0x7abc26b7, (q31_t)0xdbaa9b43, (q31_t)0x7aba5dfc, (q31_t)0xdba494f9, + (q31_t)0x7ab894f6, (q31_t)0xdb9e8ec6, + (q31_t)0x7ab6cba4, (q31_t)0xdb9888a8, (q31_t)0x7ab50206, (q31_t)0xdb9282a2, (q31_t)0x7ab3381d, (q31_t)0xdb8c7cb1, + (q31_t)0x7ab16de7, (q31_t)0xdb8676d8, + (q31_t)0x7aafa367, (q31_t)0xdb807114, (q31_t)0x7aadd89a, (q31_t)0xdb7a6b68, (q31_t)0x7aac0d82, (q31_t)0xdb7465d1, + (q31_t)0x7aaa421e, (q31_t)0xdb6e6052, + (q31_t)0x7aa8766f, (q31_t)0xdb685ae9, (q31_t)0x7aa6aa74, (q31_t)0xdb625596, (q31_t)0x7aa4de2d, (q31_t)0xdb5c505a, + (q31_t)0x7aa3119a, (q31_t)0xdb564b35, + (q31_t)0x7aa144bc, (q31_t)0xdb504626, (q31_t)0x7a9f7793, (q31_t)0xdb4a412e, (q31_t)0x7a9daa1d, (q31_t)0xdb443c4c, + (q31_t)0x7a9bdc5c, (q31_t)0xdb3e3781, + (q31_t)0x7a9a0e50, (q31_t)0xdb3832cd, (q31_t)0x7a983ff7, (q31_t)0xdb322e30, (q31_t)0x7a967153, (q31_t)0xdb2c29a9, + (q31_t)0x7a94a264, (q31_t)0xdb262539, + (q31_t)0x7a92d329, (q31_t)0xdb2020e0, (q31_t)0x7a9103a2, (q31_t)0xdb1a1c9d, (q31_t)0x7a8f33d0, (q31_t)0xdb141871, + (q31_t)0x7a8d63b2, (q31_t)0xdb0e145c, + (q31_t)0x7a8b9348, (q31_t)0xdb08105e, (q31_t)0x7a89c293, (q31_t)0xdb020c77, (q31_t)0x7a87f192, (q31_t)0xdafc08a6, + (q31_t)0x7a862046, (q31_t)0xdaf604ec, + (q31_t)0x7a844eae, (q31_t)0xdaf00149, (q31_t)0x7a827ccb, (q31_t)0xdae9fdbd, (q31_t)0x7a80aa9c, (q31_t)0xdae3fa48, + (q31_t)0x7a7ed821, (q31_t)0xdaddf6ea, + (q31_t)0x7a7d055b, (q31_t)0xdad7f3a2, (q31_t)0x7a7b3249, (q31_t)0xdad1f072, (q31_t)0x7a795eec, (q31_t)0xdacbed58, + (q31_t)0x7a778b43, (q31_t)0xdac5ea56, + (q31_t)0x7a75b74f, (q31_t)0xdabfe76a, (q31_t)0x7a73e30f, (q31_t)0xdab9e495, (q31_t)0x7a720e84, (q31_t)0xdab3e1d8, + (q31_t)0x7a7039ad, (q31_t)0xdaaddf31, + (q31_t)0x7a6e648a, (q31_t)0xdaa7dca1, (q31_t)0x7a6c8f1c, (q31_t)0xdaa1da29, (q31_t)0x7a6ab963, (q31_t)0xda9bd7c7, + (q31_t)0x7a68e35e, (q31_t)0xda95d57d, + (q31_t)0x7a670d0d, (q31_t)0xda8fd349, (q31_t)0x7a653671, (q31_t)0xda89d12d, (q31_t)0x7a635f8a, (q31_t)0xda83cf28, + (q31_t)0x7a618857, (q31_t)0xda7dcd3a, + (q31_t)0x7a5fb0d8, (q31_t)0xda77cb63, (q31_t)0x7a5dd90e, (q31_t)0xda71c9a3, (q31_t)0x7a5c00f9, (q31_t)0xda6bc7fa, + (q31_t)0x7a5a2898, (q31_t)0xda65c669, + (q31_t)0x7a584feb, (q31_t)0xda5fc4ef, (q31_t)0x7a5676f3, (q31_t)0xda59c38c, (q31_t)0x7a549db0, (q31_t)0xda53c240, + (q31_t)0x7a52c421, (q31_t)0xda4dc10b, + (q31_t)0x7a50ea47, (q31_t)0xda47bfee, (q31_t)0x7a4f1021, (q31_t)0xda41bee8, (q31_t)0x7a4d35b0, (q31_t)0xda3bbdf9, + (q31_t)0x7a4b5af3, (q31_t)0xda35bd22, + (q31_t)0x7a497feb, (q31_t)0xda2fbc61, (q31_t)0x7a47a498, (q31_t)0xda29bbb9, (q31_t)0x7a45c8f9, (q31_t)0xda23bb27, + (q31_t)0x7a43ed0e, (q31_t)0xda1dbaad, + (q31_t)0x7a4210d8, (q31_t)0xda17ba4a, (q31_t)0x7a403457, (q31_t)0xda11b9ff, (q31_t)0x7a3e578b, (q31_t)0xda0bb9cb, + (q31_t)0x7a3c7a73, (q31_t)0xda05b9ae, + (q31_t)0x7a3a9d0f, (q31_t)0xd9ffb9a9, (q31_t)0x7a38bf60, (q31_t)0xd9f9b9bb, (q31_t)0x7a36e166, (q31_t)0xd9f3b9e5, + (q31_t)0x7a350321, (q31_t)0xd9edba26, + (q31_t)0x7a332490, (q31_t)0xd9e7ba7f, (q31_t)0x7a3145b3, (q31_t)0xd9e1baef, (q31_t)0x7a2f668c, (q31_t)0xd9dbbb77, + (q31_t)0x7a2d8719, (q31_t)0xd9d5bc16, + (q31_t)0x7a2ba75a, (q31_t)0xd9cfbccd, (q31_t)0x7a29c750, (q31_t)0xd9c9bd9b, (q31_t)0x7a27e6fb, (q31_t)0xd9c3be81, + (q31_t)0x7a26065b, (q31_t)0xd9bdbf7e, + (q31_t)0x7a24256f, (q31_t)0xd9b7c094, (q31_t)0x7a224437, (q31_t)0xd9b1c1c0, (q31_t)0x7a2062b5, (q31_t)0xd9abc305, + (q31_t)0x7a1e80e7, (q31_t)0xd9a5c461, + (q31_t)0x7a1c9ece, (q31_t)0xd99fc5d4, (q31_t)0x7a1abc69, (q31_t)0xd999c75f, (q31_t)0x7a18d9b9, (q31_t)0xd993c902, + (q31_t)0x7a16f6be, (q31_t)0xd98dcabd, + (q31_t)0x7a151378, (q31_t)0xd987cc90, (q31_t)0x7a132fe6, (q31_t)0xd981ce7a, (q31_t)0x7a114c09, (q31_t)0xd97bd07c, + (q31_t)0x7a0f67e0, (q31_t)0xd975d295, + (q31_t)0x7a0d836d, (q31_t)0xd96fd4c7, (q31_t)0x7a0b9eae, (q31_t)0xd969d710, (q31_t)0x7a09b9a4, (q31_t)0xd963d971, + (q31_t)0x7a07d44e, (q31_t)0xd95ddbea, + (q31_t)0x7a05eead, (q31_t)0xd957de7a, (q31_t)0x7a0408c1, (q31_t)0xd951e123, (q31_t)0x7a02228a, (q31_t)0xd94be3e3, + (q31_t)0x7a003c07, (q31_t)0xd945e6bb, + (q31_t)0x79fe5539, (q31_t)0xd93fe9ab, (q31_t)0x79fc6e20, (q31_t)0xd939ecb3, (q31_t)0x79fa86bc, (q31_t)0xd933efd3, + (q31_t)0x79f89f0c, (q31_t)0xd92df30b, + (q31_t)0x79f6b711, (q31_t)0xd927f65b, (q31_t)0x79f4cecb, (q31_t)0xd921f9c3, (q31_t)0x79f2e63a, (q31_t)0xd91bfd43, + (q31_t)0x79f0fd5d, (q31_t)0xd91600da, + (q31_t)0x79ef1436, (q31_t)0xd910048a, (q31_t)0x79ed2ac3, (q31_t)0xd90a0852, (q31_t)0x79eb4105, (q31_t)0xd9040c32, + (q31_t)0x79e956fb, (q31_t)0xd8fe1029, + (q31_t)0x79e76ca7, (q31_t)0xd8f81439, (q31_t)0x79e58207, (q31_t)0xd8f21861, (q31_t)0x79e3971c, (q31_t)0xd8ec1ca1, + (q31_t)0x79e1abe6, (q31_t)0xd8e620fa, + (q31_t)0x79dfc064, (q31_t)0xd8e0256a, (q31_t)0x79ddd498, (q31_t)0xd8da29f2, (q31_t)0x79dbe880, (q31_t)0xd8d42e93, + (q31_t)0x79d9fc1d, (q31_t)0xd8ce334c, + (q31_t)0x79d80f6f, (q31_t)0xd8c8381d, (q31_t)0x79d62276, (q31_t)0xd8c23d06, (q31_t)0x79d43532, (q31_t)0xd8bc4207, + (q31_t)0x79d247a2, (q31_t)0xd8b64720, + (q31_t)0x79d059c8, (q31_t)0xd8b04c52, (q31_t)0x79ce6ba2, (q31_t)0xd8aa519c, (q31_t)0x79cc7d31, (q31_t)0xd8a456ff, + (q31_t)0x79ca8e75, (q31_t)0xd89e5c79, + (q31_t)0x79c89f6e, (q31_t)0xd898620c, (q31_t)0x79c6b01b, (q31_t)0xd89267b7, (q31_t)0x79c4c07e, (q31_t)0xd88c6d7b, + (q31_t)0x79c2d095, (q31_t)0xd8867356, + (q31_t)0x79c0e062, (q31_t)0xd880794b, (q31_t)0x79beefe3, (q31_t)0xd87a7f57, (q31_t)0x79bcff19, (q31_t)0xd874857c, + (q31_t)0x79bb0e04, (q31_t)0xd86e8bb9, + (q31_t)0x79b91ca4, (q31_t)0xd868920f, (q31_t)0x79b72af9, (q31_t)0xd862987d, (q31_t)0x79b53903, (q31_t)0xd85c9f04, + (q31_t)0x79b346c2, (q31_t)0xd856a5a3, + (q31_t)0x79b15435, (q31_t)0xd850ac5a, (q31_t)0x79af615e, (q31_t)0xd84ab32a, (q31_t)0x79ad6e3c, (q31_t)0xd844ba13, + (q31_t)0x79ab7ace, (q31_t)0xd83ec114, + (q31_t)0x79a98715, (q31_t)0xd838c82d, (q31_t)0x79a79312, (q31_t)0xd832cf5f, (q31_t)0x79a59ec3, (q31_t)0xd82cd6aa, + (q31_t)0x79a3aa29, (q31_t)0xd826de0d, + (q31_t)0x79a1b545, (q31_t)0xd820e589, (q31_t)0x799fc015, (q31_t)0xd81aed1d, (q31_t)0x799dca9a, (q31_t)0xd814f4ca, + (q31_t)0x799bd4d4, (q31_t)0xd80efc8f, + (q31_t)0x7999dec4, (q31_t)0xd809046e, (q31_t)0x7997e868, (q31_t)0xd8030c64, (q31_t)0x7995f1c1, (q31_t)0xd7fd1474, + (q31_t)0x7993facf, (q31_t)0xd7f71c9c, + (q31_t)0x79920392, (q31_t)0xd7f124dd, (q31_t)0x79900c0a, (q31_t)0xd7eb2d37, (q31_t)0x798e1438, (q31_t)0xd7e535a9, + (q31_t)0x798c1c1a, (q31_t)0xd7df3e34, + (q31_t)0x798a23b1, (q31_t)0xd7d946d8, (q31_t)0x79882afd, (q31_t)0xd7d34f94, (q31_t)0x798631ff, (q31_t)0xd7cd586a, + (q31_t)0x798438b5, (q31_t)0xd7c76158, + (q31_t)0x79823f20, (q31_t)0xd7c16a5f, (q31_t)0x79804541, (q31_t)0xd7bb737f, (q31_t)0x797e4b16, (q31_t)0xd7b57cb7, + (q31_t)0x797c50a1, (q31_t)0xd7af8609, + (q31_t)0x797a55e0, (q31_t)0xd7a98f73, (q31_t)0x79785ad5, (q31_t)0xd7a398f6, (q31_t)0x79765f7f, (q31_t)0xd79da293, + (q31_t)0x797463de, (q31_t)0xd797ac48, + (q31_t)0x797267f2, (q31_t)0xd791b616, (q31_t)0x79706bbb, (q31_t)0xd78bbffc, (q31_t)0x796e6f39, (q31_t)0xd785c9fc, + (q31_t)0x796c726c, (q31_t)0xd77fd415, + (q31_t)0x796a7554, (q31_t)0xd779de47, (q31_t)0x796877f1, (q31_t)0xd773e892, (q31_t)0x79667a44, (q31_t)0xd76df2f6, + (q31_t)0x79647c4c, (q31_t)0xd767fd72, + (q31_t)0x79627e08, (q31_t)0xd7620808, (q31_t)0x79607f7a, (q31_t)0xd75c12b7, (q31_t)0x795e80a1, (q31_t)0xd7561d7f, + (q31_t)0x795c817d, (q31_t)0xd7502860, + (q31_t)0x795a820e, (q31_t)0xd74a335b, (q31_t)0x79588255, (q31_t)0xd7443e6e, (q31_t)0x79568250, (q31_t)0xd73e499a, + (q31_t)0x79548201, (q31_t)0xd73854e0, + (q31_t)0x79528167, (q31_t)0xd732603f, (q31_t)0x79508082, (q31_t)0xd72c6bb6, (q31_t)0x794e7f52, (q31_t)0xd7267748, + (q31_t)0x794c7dd7, (q31_t)0xd72082f2, + (q31_t)0x794a7c12, (q31_t)0xd71a8eb5, (q31_t)0x79487a01, (q31_t)0xd7149a92, (q31_t)0x794677a6, (q31_t)0xd70ea688, + (q31_t)0x79447500, (q31_t)0xd708b297, + (q31_t)0x79427210, (q31_t)0xd702bec0, (q31_t)0x79406ed4, (q31_t)0xd6fccb01, (q31_t)0x793e6b4e, (q31_t)0xd6f6d75d, + (q31_t)0x793c677d, (q31_t)0xd6f0e3d1, + (q31_t)0x793a6361, (q31_t)0xd6eaf05f, (q31_t)0x79385efa, (q31_t)0xd6e4fd06, (q31_t)0x79365a49, (q31_t)0xd6df09c6, + (q31_t)0x7934554d, (q31_t)0xd6d916a0, + (q31_t)0x79325006, (q31_t)0xd6d32393, (q31_t)0x79304a74, (q31_t)0xd6cd30a0, (q31_t)0x792e4497, (q31_t)0xd6c73dc6, + (q31_t)0x792c3e70, (q31_t)0xd6c14b05, + (q31_t)0x792a37fe, (q31_t)0xd6bb585e, (q31_t)0x79283141, (q31_t)0xd6b565d0, (q31_t)0x79262a3a, (q31_t)0xd6af735c, + (q31_t)0x792422e8, (q31_t)0xd6a98101, + (q31_t)0x79221b4b, (q31_t)0xd6a38ec0, (q31_t)0x79201363, (q31_t)0xd69d9c98, (q31_t)0x791e0b31, (q31_t)0xd697aa8a, + (q31_t)0x791c02b4, (q31_t)0xd691b895, + (q31_t)0x7919f9ec, (q31_t)0xd68bc6ba, (q31_t)0x7917f0d9, (q31_t)0xd685d4f9, (q31_t)0x7915e77c, (q31_t)0xd67fe351, + (q31_t)0x7913ddd4, (q31_t)0xd679f1c2, + (q31_t)0x7911d3e2, (q31_t)0xd674004e, (q31_t)0x790fc9a4, (q31_t)0xd66e0ef2, (q31_t)0x790dbf1d, (q31_t)0xd6681db1, + (q31_t)0x790bb44a, (q31_t)0xd6622c89, + (q31_t)0x7909a92d, (q31_t)0xd65c3b7b, (q31_t)0x79079dc5, (q31_t)0xd6564a87, (q31_t)0x79059212, (q31_t)0xd65059ac, + (q31_t)0x79038615, (q31_t)0xd64a68eb, + (q31_t)0x790179cd, (q31_t)0xd6447844, (q31_t)0x78ff6d3b, (q31_t)0xd63e87b6, (q31_t)0x78fd605d, (q31_t)0xd6389742, + (q31_t)0x78fb5336, (q31_t)0xd632a6e8, + (q31_t)0x78f945c3, (q31_t)0xd62cb6a8, (q31_t)0x78f73806, (q31_t)0xd626c681, (q31_t)0x78f529fe, (q31_t)0xd620d675, + (q31_t)0x78f31bac, (q31_t)0xd61ae682, + (q31_t)0x78f10d0f, (q31_t)0xd614f6a9, (q31_t)0x78eefe28, (q31_t)0xd60f06ea, (q31_t)0x78eceef6, (q31_t)0xd6091745, + (q31_t)0x78eadf79, (q31_t)0xd60327b9, + (q31_t)0x78e8cfb2, (q31_t)0xd5fd3848, (q31_t)0x78e6bfa0, (q31_t)0xd5f748f0, (q31_t)0x78e4af44, (q31_t)0xd5f159b3, + (q31_t)0x78e29e9d, (q31_t)0xd5eb6a8f, + (q31_t)0x78e08dab, (q31_t)0xd5e57b85, (q31_t)0x78de7c6f, (q31_t)0xd5df8c96, (q31_t)0x78dc6ae8, (q31_t)0xd5d99dc0, + (q31_t)0x78da5917, (q31_t)0xd5d3af04, + (q31_t)0x78d846fb, (q31_t)0xd5cdc062, (q31_t)0x78d63495, (q31_t)0xd5c7d1db, (q31_t)0x78d421e4, (q31_t)0xd5c1e36d, + (q31_t)0x78d20ee9, (q31_t)0xd5bbf519, + (q31_t)0x78cffba3, (q31_t)0xd5b606e0, (q31_t)0x78cde812, (q31_t)0xd5b018c0, (q31_t)0x78cbd437, (q31_t)0xd5aa2abb, + (q31_t)0x78c9c012, (q31_t)0xd5a43cd0, + (q31_t)0x78c7aba2, (q31_t)0xd59e4eff, (q31_t)0x78c596e7, (q31_t)0xd5986148, (q31_t)0x78c381e2, (q31_t)0xd59273ab, + (q31_t)0x78c16c93, (q31_t)0xd58c8628, + (q31_t)0x78bf56f9, (q31_t)0xd58698c0, (q31_t)0x78bd4114, (q31_t)0xd580ab72, (q31_t)0x78bb2ae5, (q31_t)0xd57abe3d, + (q31_t)0x78b9146c, (q31_t)0xd574d124, + (q31_t)0x78b6fda8, (q31_t)0xd56ee424, (q31_t)0x78b4e69a, (q31_t)0xd568f73f, (q31_t)0x78b2cf41, (q31_t)0xd5630a74, + (q31_t)0x78b0b79e, (q31_t)0xd55d1dc3, + (q31_t)0x78ae9fb0, (q31_t)0xd557312d, (q31_t)0x78ac8778, (q31_t)0xd55144b0, (q31_t)0x78aa6ef5, (q31_t)0xd54b584f, + (q31_t)0x78a85628, (q31_t)0xd5456c07, + (q31_t)0x78a63d11, (q31_t)0xd53f7fda, (q31_t)0x78a423af, (q31_t)0xd53993c7, (q31_t)0x78a20a03, (q31_t)0xd533a7cf, + (q31_t)0x789ff00c, (q31_t)0xd52dbbf1, + (q31_t)0x789dd5cb, (q31_t)0xd527d02e, (q31_t)0x789bbb3f, (q31_t)0xd521e484, (q31_t)0x7899a06a, (q31_t)0xd51bf8f6, + (q31_t)0x78978549, (q31_t)0xd5160d82, + (q31_t)0x789569df, (q31_t)0xd5102228, (q31_t)0x78934e2a, (q31_t)0xd50a36e9, (q31_t)0x7891322a, (q31_t)0xd5044bc4, + (q31_t)0x788f15e0, (q31_t)0xd4fe60ba, + (q31_t)0x788cf94c, (q31_t)0xd4f875ca, (q31_t)0x788adc6e, (q31_t)0xd4f28af5, (q31_t)0x7888bf45, (q31_t)0xd4eca03a, + (q31_t)0x7886a1d1, (q31_t)0xd4e6b59a, + (q31_t)0x78848414, (q31_t)0xd4e0cb15, (q31_t)0x7882660c, (q31_t)0xd4dae0aa, (q31_t)0x788047ba, (q31_t)0xd4d4f65a, + (q31_t)0x787e291d, (q31_t)0xd4cf0c24, + (q31_t)0x787c0a36, (q31_t)0xd4c92209, (q31_t)0x7879eb05, (q31_t)0xd4c33809, (q31_t)0x7877cb89, (q31_t)0xd4bd4e23, + (q31_t)0x7875abc3, (q31_t)0xd4b76458, + (q31_t)0x78738bb3, (q31_t)0xd4b17aa8, (q31_t)0x78716b59, (q31_t)0xd4ab9112, (q31_t)0x786f4ab4, (q31_t)0xd4a5a798, + (q31_t)0x786d29c5, (q31_t)0xd49fbe37, + (q31_t)0x786b088c, (q31_t)0xd499d4f2, (q31_t)0x7868e708, (q31_t)0xd493ebc8, (q31_t)0x7866c53a, (q31_t)0xd48e02b8, + (q31_t)0x7864a322, (q31_t)0xd48819c3, + (q31_t)0x786280bf, (q31_t)0xd48230e9, (q31_t)0x78605e13, (q31_t)0xd47c4829, (q31_t)0x785e3b1c, (q31_t)0xd4765f85, + (q31_t)0x785c17db, (q31_t)0xd47076fb, + (q31_t)0x7859f44f, (q31_t)0xd46a8e8d, (q31_t)0x7857d079, (q31_t)0xd464a639, (q31_t)0x7855ac5a, (q31_t)0xd45ebe00, + (q31_t)0x785387ef, (q31_t)0xd458d5e2, + (q31_t)0x7851633b, (q31_t)0xd452eddf, (q31_t)0x784f3e3c, (q31_t)0xd44d05f6, (q31_t)0x784d18f4, (q31_t)0xd4471e29, + (q31_t)0x784af361, (q31_t)0xd4413677, + (q31_t)0x7848cd83, (q31_t)0xd43b4ee0, (q31_t)0x7846a75c, (q31_t)0xd4356763, (q31_t)0x784480ea, (q31_t)0xd42f8002, + (q31_t)0x78425a2f, (q31_t)0xd42998bc, + (q31_t)0x78403329, (q31_t)0xd423b191, (q31_t)0x783e0bd9, (q31_t)0xd41dca81, (q31_t)0x783be43e, (q31_t)0xd417e38c, + (q31_t)0x7839bc5a, (q31_t)0xd411fcb2, + (q31_t)0x7837942b, (q31_t)0xd40c15f3, (q31_t)0x78356bb2, (q31_t)0xd4062f4f, (q31_t)0x783342ef, (q31_t)0xd40048c6, + (q31_t)0x783119e2, (q31_t)0xd3fa6259, + (q31_t)0x782ef08b, (q31_t)0xd3f47c06, (q31_t)0x782cc6ea, (q31_t)0xd3ee95cf, (q31_t)0x782a9cfe, (q31_t)0xd3e8afb3, + (q31_t)0x782872c8, (q31_t)0xd3e2c9b2, + (q31_t)0x78264849, (q31_t)0xd3dce3cd, (q31_t)0x78241d7f, (q31_t)0xd3d6fe03, (q31_t)0x7821f26b, (q31_t)0xd3d11853, + (q31_t)0x781fc70d, (q31_t)0xd3cb32c0, + (q31_t)0x781d9b65, (q31_t)0xd3c54d47, (q31_t)0x781b6f72, (q31_t)0xd3bf67ea, (q31_t)0x78194336, (q31_t)0xd3b982a8, + (q31_t)0x781716b0, (q31_t)0xd3b39d81, + (q31_t)0x7814e9df, (q31_t)0xd3adb876, (q31_t)0x7812bcc4, (q31_t)0xd3a7d385, (q31_t)0x78108f60, (q31_t)0xd3a1eeb1, + (q31_t)0x780e61b1, (q31_t)0xd39c09f7, + (q31_t)0x780c33b8, (q31_t)0xd396255a, (q31_t)0x780a0575, (q31_t)0xd39040d7, (q31_t)0x7807d6e9, (q31_t)0xd38a5c70, + (q31_t)0x7805a812, (q31_t)0xd3847824, + (q31_t)0x780378f1, (q31_t)0xd37e93f4, (q31_t)0x78014986, (q31_t)0xd378afdf, (q31_t)0x77ff19d1, (q31_t)0xd372cbe6, + (q31_t)0x77fce9d2, (q31_t)0xd36ce808, + (q31_t)0x77fab989, (q31_t)0xd3670446, (q31_t)0x77f888f6, (q31_t)0xd361209f, (q31_t)0x77f65819, (q31_t)0xd35b3d13, + (q31_t)0x77f426f2, (q31_t)0xd35559a4, + (q31_t)0x77f1f581, (q31_t)0xd34f764f, (q31_t)0x77efc3c5, (q31_t)0xd3499317, (q31_t)0x77ed91c0, (q31_t)0xd343affa, + (q31_t)0x77eb5f71, (q31_t)0xd33dccf8, + (q31_t)0x77e92cd9, (q31_t)0xd337ea12, (q31_t)0x77e6f9f6, (q31_t)0xd3320748, (q31_t)0x77e4c6c9, (q31_t)0xd32c2499, + (q31_t)0x77e29352, (q31_t)0xd3264206, + (q31_t)0x77e05f91, (q31_t)0xd3205f8f, (q31_t)0x77de2b86, (q31_t)0xd31a7d33, (q31_t)0x77dbf732, (q31_t)0xd3149af3, + (q31_t)0x77d9c293, (q31_t)0xd30eb8cf, + (q31_t)0x77d78daa, (q31_t)0xd308d6c7, (q31_t)0x77d55878, (q31_t)0xd302f4da, (q31_t)0x77d322fc, (q31_t)0xd2fd1309, + (q31_t)0x77d0ed35, (q31_t)0xd2f73154, + (q31_t)0x77ceb725, (q31_t)0xd2f14fba, (q31_t)0x77cc80cb, (q31_t)0xd2eb6e3c, (q31_t)0x77ca4a27, (q31_t)0xd2e58cdb, + (q31_t)0x77c81339, (q31_t)0xd2dfab95, + (q31_t)0x77c5dc01, (q31_t)0xd2d9ca6a, (q31_t)0x77c3a47f, (q31_t)0xd2d3e95c, (q31_t)0x77c16cb4, (q31_t)0xd2ce0869, + (q31_t)0x77bf349f, (q31_t)0xd2c82793, + (q31_t)0x77bcfc3f, (q31_t)0xd2c246d8, (q31_t)0x77bac396, (q31_t)0xd2bc6639, (q31_t)0x77b88aa3, (q31_t)0xd2b685b6, + (q31_t)0x77b65166, (q31_t)0xd2b0a54f, + (q31_t)0x77b417df, (q31_t)0xd2aac504, (q31_t)0x77b1de0f, (q31_t)0xd2a4e4d5, (q31_t)0x77afa3f5, (q31_t)0xd29f04c2, + (q31_t)0x77ad6990, (q31_t)0xd29924cb, + (q31_t)0x77ab2ee2, (q31_t)0xd29344f0, (q31_t)0x77a8f3ea, (q31_t)0xd28d6531, (q31_t)0x77a6b8a9, (q31_t)0xd287858e, + (q31_t)0x77a47d1d, (q31_t)0xd281a607, + (q31_t)0x77a24148, (q31_t)0xd27bc69c, (q31_t)0x77a00529, (q31_t)0xd275e74d, (q31_t)0x779dc8c0, (q31_t)0xd270081b, + (q31_t)0x779b8c0e, (q31_t)0xd26a2904, + (q31_t)0x77994f11, (q31_t)0xd2644a0a, (q31_t)0x779711cb, (q31_t)0xd25e6b2b, (q31_t)0x7794d43b, (q31_t)0xd2588c69, + (q31_t)0x77929661, (q31_t)0xd252adc3, + (q31_t)0x7790583e, (q31_t)0xd24ccf39, (q31_t)0x778e19d0, (q31_t)0xd246f0cb, (q31_t)0x778bdb19, (q31_t)0xd241127a, + (q31_t)0x77899c19, (q31_t)0xd23b3444, + (q31_t)0x77875cce, (q31_t)0xd235562b, (q31_t)0x77851d3a, (q31_t)0xd22f782f, (q31_t)0x7782dd5c, (q31_t)0xd2299a4e, + (q31_t)0x77809d35, (q31_t)0xd223bc8a, + (q31_t)0x777e5cc3, (q31_t)0xd21ddee2, (q31_t)0x777c1c08, (q31_t)0xd2180156, (q31_t)0x7779db03, (q31_t)0xd21223e7, + (q31_t)0x777799b5, (q31_t)0xd20c4694, + (q31_t)0x7775581d, (q31_t)0xd206695d, (q31_t)0x7773163b, (q31_t)0xd2008c43, (q31_t)0x7770d40f, (q31_t)0xd1faaf45, + (q31_t)0x776e919a, (q31_t)0xd1f4d263, + (q31_t)0x776c4edb, (q31_t)0xd1eef59e, (q31_t)0x776a0bd3, (q31_t)0xd1e918f5, (q31_t)0x7767c880, (q31_t)0xd1e33c69, + (q31_t)0x776584e5, (q31_t)0xd1dd5ff9, + (q31_t)0x776340ff, (q31_t)0xd1d783a6, (q31_t)0x7760fcd0, (q31_t)0xd1d1a76f, (q31_t)0x775eb857, (q31_t)0xd1cbcb54, + (q31_t)0x775c7395, (q31_t)0xd1c5ef56, + (q31_t)0x775a2e89, (q31_t)0xd1c01375, (q31_t)0x7757e933, (q31_t)0xd1ba37b0, (q31_t)0x7755a394, (q31_t)0xd1b45c08, + (q31_t)0x77535dab, (q31_t)0xd1ae807c, + (q31_t)0x77511778, (q31_t)0xd1a8a50d, (q31_t)0x774ed0fc, (q31_t)0xd1a2c9ba, (q31_t)0x774c8a36, (q31_t)0xd19cee84, + (q31_t)0x774a4327, (q31_t)0xd197136b, + (q31_t)0x7747fbce, (q31_t)0xd191386e, (q31_t)0x7745b42c, (q31_t)0xd18b5d8e, (q31_t)0x77436c40, (q31_t)0xd18582ca, + (q31_t)0x7741240a, (q31_t)0xd17fa823, + (q31_t)0x773edb8b, (q31_t)0xd179cd99, (q31_t)0x773c92c2, (q31_t)0xd173f32c, (q31_t)0x773a49b0, (q31_t)0xd16e18db, + (q31_t)0x77380054, (q31_t)0xd1683ea7, + (q31_t)0x7735b6af, (q31_t)0xd1626490, (q31_t)0x77336cc0, (q31_t)0xd15c8a95, (q31_t)0x77312287, (q31_t)0xd156b0b7, + (q31_t)0x772ed805, (q31_t)0xd150d6f6, + (q31_t)0x772c8d3a, (q31_t)0xd14afd52, (q31_t)0x772a4225, (q31_t)0xd14523cb, (q31_t)0x7727f6c6, (q31_t)0xd13f4a60, + (q31_t)0x7725ab1f, (q31_t)0xd1397113, + (q31_t)0x77235f2d, (q31_t)0xd13397e2, (q31_t)0x772112f2, (q31_t)0xd12dbece, (q31_t)0x771ec66e, (q31_t)0xd127e5d7, + (q31_t)0x771c79a0, (q31_t)0xd1220cfc, + (q31_t)0x771a2c88, (q31_t)0xd11c343f, (q31_t)0x7717df27, (q31_t)0xd1165b9f, (q31_t)0x7715917d, (q31_t)0xd110831b, + (q31_t)0x77134389, (q31_t)0xd10aaab5, + (q31_t)0x7710f54c, (q31_t)0xd104d26b, (q31_t)0x770ea6c5, (q31_t)0xd0fefa3f, (q31_t)0x770c57f5, (q31_t)0xd0f9222f, + (q31_t)0x770a08dc, (q31_t)0xd0f34a3d, + (q31_t)0x7707b979, (q31_t)0xd0ed7267, (q31_t)0x770569cc, (q31_t)0xd0e79aaf, (q31_t)0x770319d6, (q31_t)0xd0e1c313, + (q31_t)0x7700c997, (q31_t)0xd0dbeb95, + (q31_t)0x76fe790e, (q31_t)0xd0d61434, (q31_t)0x76fc283c, (q31_t)0xd0d03cf0, (q31_t)0x76f9d721, (q31_t)0xd0ca65c9, + (q31_t)0x76f785bc, (q31_t)0xd0c48ebf, + (q31_t)0x76f5340e, (q31_t)0xd0beb7d2, (q31_t)0x76f2e216, (q31_t)0xd0b8e102, (q31_t)0x76f08fd5, (q31_t)0xd0b30a50, + (q31_t)0x76ee3d4b, (q31_t)0xd0ad33ba, + (q31_t)0x76ebea77, (q31_t)0xd0a75d42, (q31_t)0x76e9975a, (q31_t)0xd0a186e7, (q31_t)0x76e743f4, (q31_t)0xd09bb0aa, + (q31_t)0x76e4f044, (q31_t)0xd095da89, + (q31_t)0x76e29c4b, (q31_t)0xd0900486, (q31_t)0x76e04808, (q31_t)0xd08a2ea0, (q31_t)0x76ddf37c, (q31_t)0xd08458d7, + (q31_t)0x76db9ea7, (q31_t)0xd07e832c, + (q31_t)0x76d94989, (q31_t)0xd078ad9e, (q31_t)0x76d6f421, (q31_t)0xd072d82d, (q31_t)0x76d49e70, (q31_t)0xd06d02da, + (q31_t)0x76d24876, (q31_t)0xd0672da3, + (q31_t)0x76cff232, (q31_t)0xd061588b, (q31_t)0x76cd9ba5, (q31_t)0xd05b838f, (q31_t)0x76cb44cf, (q31_t)0xd055aeb1, + (q31_t)0x76c8edb0, (q31_t)0xd04fd9f1, + (q31_t)0x76c69647, (q31_t)0xd04a054e, (q31_t)0x76c43e95, (q31_t)0xd04430c8, (q31_t)0x76c1e699, (q31_t)0xd03e5c60, + (q31_t)0x76bf8e55, (q31_t)0xd0388815, + (q31_t)0x76bd35c7, (q31_t)0xd032b3e7, (q31_t)0x76badcf0, (q31_t)0xd02cdfd8, (q31_t)0x76b883d0, (q31_t)0xd0270be5, + (q31_t)0x76b62a66, (q31_t)0xd0213810, + (q31_t)0x76b3d0b4, (q31_t)0xd01b6459, (q31_t)0x76b176b8, (q31_t)0xd01590bf, (q31_t)0x76af1c72, (q31_t)0xd00fbd43, + (q31_t)0x76acc1e4, (q31_t)0xd009e9e4, + (q31_t)0x76aa670d, (q31_t)0xd00416a3, (q31_t)0x76a80bec, (q31_t)0xcffe4380, (q31_t)0x76a5b082, (q31_t)0xcff8707a, + (q31_t)0x76a354cf, (q31_t)0xcff29d92, + (q31_t)0x76a0f8d2, (q31_t)0xcfeccac7, (q31_t)0x769e9c8d, (q31_t)0xcfe6f81a, (q31_t)0x769c3ffe, (q31_t)0xcfe1258b, + (q31_t)0x7699e326, (q31_t)0xcfdb531a, + (q31_t)0x76978605, (q31_t)0xcfd580c6, (q31_t)0x7695289b, (q31_t)0xcfcfae8f, (q31_t)0x7692cae8, (q31_t)0xcfc9dc77, + (q31_t)0x76906ceb, (q31_t)0xcfc40a7c, + (q31_t)0x768e0ea6, (q31_t)0xcfbe389f, (q31_t)0x768bb017, (q31_t)0xcfb866e0, (q31_t)0x7689513f, (q31_t)0xcfb2953f, + (q31_t)0x7686f21e, (q31_t)0xcfacc3bb, + (q31_t)0x768492b4, (q31_t)0xcfa6f255, (q31_t)0x76823301, (q31_t)0xcfa1210d, (q31_t)0x767fd304, (q31_t)0xcf9b4fe3, + (q31_t)0x767d72bf, (q31_t)0xcf957ed7, + (q31_t)0x767b1231, (q31_t)0xcf8fade9, (q31_t)0x7678b159, (q31_t)0xcf89dd18, (q31_t)0x76765038, (q31_t)0xcf840c65, + (q31_t)0x7673eecf, (q31_t)0xcf7e3bd1, + (q31_t)0x76718d1c, (q31_t)0xcf786b5a, (q31_t)0x766f2b20, (q31_t)0xcf729b01, (q31_t)0x766cc8db, (q31_t)0xcf6ccac6, + (q31_t)0x766a664d, (q31_t)0xcf66faa9, + (q31_t)0x76680376, (q31_t)0xcf612aaa, (q31_t)0x7665a056, (q31_t)0xcf5b5ac9, (q31_t)0x76633ced, (q31_t)0xcf558b06, + (q31_t)0x7660d93b, (q31_t)0xcf4fbb61, + (q31_t)0x765e7540, (q31_t)0xcf49ebda, (q31_t)0x765c10fc, (q31_t)0xcf441c71, (q31_t)0x7659ac6f, (q31_t)0xcf3e4d26, + (q31_t)0x76574798, (q31_t)0xcf387dfa, + (q31_t)0x7654e279, (q31_t)0xcf32aeeb, (q31_t)0x76527d11, (q31_t)0xcf2cdffa, (q31_t)0x76501760, (q31_t)0xcf271128, + (q31_t)0x764db166, (q31_t)0xcf214274, + (q31_t)0x764b4b23, (q31_t)0xcf1b73de, (q31_t)0x7648e497, (q31_t)0xcf15a566, (q31_t)0x76467dc2, (q31_t)0xcf0fd70c, + (q31_t)0x764416a4, (q31_t)0xcf0a08d0, + (q31_t)0x7641af3d, (q31_t)0xcf043ab3, (q31_t)0x763f478d, (q31_t)0xcefe6cb3, (q31_t)0x763cdf94, (q31_t)0xcef89ed2, + (q31_t)0x763a7752, (q31_t)0xcef2d110, + (q31_t)0x76380ec8, (q31_t)0xceed036b, (q31_t)0x7635a5f4, (q31_t)0xcee735e5, (q31_t)0x76333cd8, (q31_t)0xcee1687d, + (q31_t)0x7630d372, (q31_t)0xcedb9b33, + (q31_t)0x762e69c4, (q31_t)0xced5ce08, (q31_t)0x762bffcd, (q31_t)0xced000fb, (q31_t)0x7629958c, (q31_t)0xceca340c, + (q31_t)0x76272b03, (q31_t)0xcec4673c, + (q31_t)0x7624c031, (q31_t)0xcebe9a8a, (q31_t)0x76225517, (q31_t)0xceb8cdf7, (q31_t)0x761fe9b3, (q31_t)0xceb30181, + (q31_t)0x761d7e06, (q31_t)0xcead352b, + (q31_t)0x761b1211, (q31_t)0xcea768f2, (q31_t)0x7618a5d3, (q31_t)0xcea19cd8, (q31_t)0x7616394c, (q31_t)0xce9bd0dd, + (q31_t)0x7613cc7c, (q31_t)0xce960500, + (q31_t)0x76115f63, (q31_t)0xce903942, (q31_t)0x760ef201, (q31_t)0xce8a6da2, (q31_t)0x760c8457, (q31_t)0xce84a220, + (q31_t)0x760a1664, (q31_t)0xce7ed6bd, + (q31_t)0x7607a828, (q31_t)0xce790b79, (q31_t)0x760539a3, (q31_t)0xce734053, (q31_t)0x7602cad5, (q31_t)0xce6d754c, + (q31_t)0x76005bbf, (q31_t)0xce67aa63, + (q31_t)0x75fdec60, (q31_t)0xce61df99, (q31_t)0x75fb7cb8, (q31_t)0xce5c14ed, (q31_t)0x75f90cc7, (q31_t)0xce564a60, + (q31_t)0x75f69c8d, (q31_t)0xce507ff2, + (q31_t)0x75f42c0b, (q31_t)0xce4ab5a2, (q31_t)0x75f1bb40, (q31_t)0xce44eb71, (q31_t)0x75ef4a2c, (q31_t)0xce3f215f, + (q31_t)0x75ecd8cf, (q31_t)0xce39576c, + (q31_t)0x75ea672a, (q31_t)0xce338d97, (q31_t)0x75e7f53c, (q31_t)0xce2dc3e1, (q31_t)0x75e58305, (q31_t)0xce27fa49, + (q31_t)0x75e31086, (q31_t)0xce2230d0, + (q31_t)0x75e09dbd, (q31_t)0xce1c6777, (q31_t)0x75de2aac, (q31_t)0xce169e3b, (q31_t)0x75dbb753, (q31_t)0xce10d51f, + (q31_t)0x75d943b0, (q31_t)0xce0b0c21, + (q31_t)0x75d6cfc5, (q31_t)0xce054343, (q31_t)0x75d45b92, (q31_t)0xcdff7a83, (q31_t)0x75d1e715, (q31_t)0xcdf9b1e2, + (q31_t)0x75cf7250, (q31_t)0xcdf3e95f, + (q31_t)0x75ccfd42, (q31_t)0xcdee20fc, (q31_t)0x75ca87ec, (q31_t)0xcde858b8, (q31_t)0x75c8124d, (q31_t)0xcde29092, + (q31_t)0x75c59c65, (q31_t)0xcddcc88b, + (q31_t)0x75c32634, (q31_t)0xcdd700a4, (q31_t)0x75c0afbb, (q31_t)0xcdd138db, (q31_t)0x75be38fa, (q31_t)0xcdcb7131, + (q31_t)0x75bbc1ef, (q31_t)0xcdc5a9a6, + (q31_t)0x75b94a9c, (q31_t)0xcdbfe23a, (q31_t)0x75b6d301, (q31_t)0xcdba1aee, (q31_t)0x75b45b1d, (q31_t)0xcdb453c0, + (q31_t)0x75b1e2f0, (q31_t)0xcdae8cb1, + (q31_t)0x75af6a7b, (q31_t)0xcda8c5c1, (q31_t)0x75acf1bd, (q31_t)0xcda2fef0, (q31_t)0x75aa78b6, (q31_t)0xcd9d383f, + (q31_t)0x75a7ff67, (q31_t)0xcd9771ac, + (q31_t)0x75a585cf, (q31_t)0xcd91ab39, (q31_t)0x75a30bef, (q31_t)0xcd8be4e4, (q31_t)0x75a091c6, (q31_t)0xcd861eaf, + (q31_t)0x759e1755, (q31_t)0xcd805899, + (q31_t)0x759b9c9b, (q31_t)0xcd7a92a2, (q31_t)0x75992198, (q31_t)0xcd74ccca, (q31_t)0x7596a64d, (q31_t)0xcd6f0711, + (q31_t)0x75942ab9, (q31_t)0xcd694178, + (q31_t)0x7591aedd, (q31_t)0xcd637bfe, (q31_t)0x758f32b9, (q31_t)0xcd5db6a3, (q31_t)0x758cb64c, (q31_t)0xcd57f167, + (q31_t)0x758a3996, (q31_t)0xcd522c4a, + (q31_t)0x7587bc98, (q31_t)0xcd4c674d, (q31_t)0x75853f51, (q31_t)0xcd46a26f, (q31_t)0x7582c1c2, (q31_t)0xcd40ddb0, + (q31_t)0x758043ea, (q31_t)0xcd3b1911, + (q31_t)0x757dc5ca, (q31_t)0xcd355491, (q31_t)0x757b4762, (q31_t)0xcd2f9030, (q31_t)0x7578c8b0, (q31_t)0xcd29cbee, + (q31_t)0x757649b7, (q31_t)0xcd2407cc, + (q31_t)0x7573ca75, (q31_t)0xcd1e43ca, (q31_t)0x75714aea, (q31_t)0xcd187fe6, (q31_t)0x756ecb18, (q31_t)0xcd12bc22, + (q31_t)0x756c4afc, (q31_t)0xcd0cf87e, + (q31_t)0x7569ca99, (q31_t)0xcd0734f9, (q31_t)0x756749ec, (q31_t)0xcd017193, (q31_t)0x7564c8f8, (q31_t)0xccfbae4d, + (q31_t)0x756247bb, (q31_t)0xccf5eb26, + (q31_t)0x755fc635, (q31_t)0xccf0281f, (q31_t)0x755d4467, (q31_t)0xccea6538, (q31_t)0x755ac251, (q31_t)0xcce4a26f, + (q31_t)0x75583ff3, (q31_t)0xccdedfc7, + (q31_t)0x7555bd4c, (q31_t)0xccd91d3d, (q31_t)0x75533a5c, (q31_t)0xccd35ad4, (q31_t)0x7550b725, (q31_t)0xcccd988a, + (q31_t)0x754e33a4, (q31_t)0xccc7d65f, + (q31_t)0x754bafdc, (q31_t)0xccc21455, (q31_t)0x75492bcb, (q31_t)0xccbc5269, (q31_t)0x7546a772, (q31_t)0xccb6909e, + (q31_t)0x754422d0, (q31_t)0xccb0cef2, + (q31_t)0x75419de7, (q31_t)0xccab0d65, (q31_t)0x753f18b4, (q31_t)0xcca54bf9, (q31_t)0x753c933a, (q31_t)0xcc9f8aac, + (q31_t)0x753a0d77, (q31_t)0xcc99c97e, + (q31_t)0x7537876c, (q31_t)0xcc940871, (q31_t)0x75350118, (q31_t)0xcc8e4783, (q31_t)0x75327a7d, (q31_t)0xcc8886b5, + (q31_t)0x752ff399, (q31_t)0xcc82c607, + (q31_t)0x752d6c6c, (q31_t)0xcc7d0578, (q31_t)0x752ae4f8, (q31_t)0xcc774509, (q31_t)0x75285d3b, (q31_t)0xcc7184ba, + (q31_t)0x7525d536, (q31_t)0xcc6bc48b, + (q31_t)0x75234ce8, (q31_t)0xcc66047b, (q31_t)0x7520c453, (q31_t)0xcc60448c, (q31_t)0x751e3b75, (q31_t)0xcc5a84bc, + (q31_t)0x751bb24f, (q31_t)0xcc54c50c, + (q31_t)0x751928e0, (q31_t)0xcc4f057c, (q31_t)0x75169f2a, (q31_t)0xcc49460c, (q31_t)0x7514152b, (q31_t)0xcc4386bc, + (q31_t)0x75118ae4, (q31_t)0xcc3dc78b, + (q31_t)0x750f0054, (q31_t)0xcc38087b, (q31_t)0x750c757d, (q31_t)0xcc32498a, (q31_t)0x7509ea5d, (q31_t)0xcc2c8aba, + (q31_t)0x75075ef5, (q31_t)0xcc26cc09, + (q31_t)0x7504d345, (q31_t)0xcc210d79, (q31_t)0x7502474d, (q31_t)0xcc1b4f08, (q31_t)0x74ffbb0d, (q31_t)0xcc1590b8, + (q31_t)0x74fd2e84, (q31_t)0xcc0fd287, + (q31_t)0x74faa1b3, (q31_t)0xcc0a1477, (q31_t)0x74f8149a, (q31_t)0xcc045686, (q31_t)0x74f58739, (q31_t)0xcbfe98b6, + (q31_t)0x74f2f990, (q31_t)0xcbf8db05, + (q31_t)0x74f06b9e, (q31_t)0xcbf31d75, (q31_t)0x74eddd65, (q31_t)0xcbed6005, (q31_t)0x74eb4ee3, (q31_t)0xcbe7a2b5, + (q31_t)0x74e8c01a, (q31_t)0xcbe1e585, + (q31_t)0x74e63108, (q31_t)0xcbdc2876, (q31_t)0x74e3a1ae, (q31_t)0xcbd66b86, (q31_t)0x74e1120c, (q31_t)0xcbd0aeb7, + (q31_t)0x74de8221, (q31_t)0xcbcaf208, + (q31_t)0x74dbf1ef, (q31_t)0xcbc53579, (q31_t)0x74d96175, (q31_t)0xcbbf790a, (q31_t)0x74d6d0b2, (q31_t)0xcbb9bcbb, + (q31_t)0x74d43fa8, (q31_t)0xcbb4008d, + (q31_t)0x74d1ae55, (q31_t)0xcbae447f, (q31_t)0x74cf1cbb, (q31_t)0xcba88891, (q31_t)0x74cc8ad8, (q31_t)0xcba2ccc4, + (q31_t)0x74c9f8ad, (q31_t)0xcb9d1117, + (q31_t)0x74c7663a, (q31_t)0xcb97558a, (q31_t)0x74c4d380, (q31_t)0xcb919a1d, (q31_t)0x74c2407d, (q31_t)0xcb8bded1, + (q31_t)0x74bfad32, (q31_t)0xcb8623a5, + (q31_t)0x74bd199f, (q31_t)0xcb80689a, (q31_t)0x74ba85c4, (q31_t)0xcb7aadaf, (q31_t)0x74b7f1a1, (q31_t)0xcb74f2e4, + (q31_t)0x74b55d36, (q31_t)0xcb6f383a, + (q31_t)0x74b2c884, (q31_t)0xcb697db0, (q31_t)0x74b03389, (q31_t)0xcb63c347, (q31_t)0x74ad9e46, (q31_t)0xcb5e08fe, + (q31_t)0x74ab08bb, (q31_t)0xcb584ed6, + (q31_t)0x74a872e8, (q31_t)0xcb5294ce, (q31_t)0x74a5dccd, (q31_t)0xcb4cdae6, (q31_t)0x74a3466b, (q31_t)0xcb47211f, + (q31_t)0x74a0afc0, (q31_t)0xcb416779, + (q31_t)0x749e18cd, (q31_t)0xcb3badf3, (q31_t)0x749b8193, (q31_t)0xcb35f48d, (q31_t)0x7498ea11, (q31_t)0xcb303b49, + (q31_t)0x74965246, (q31_t)0xcb2a8224, + (q31_t)0x7493ba34, (q31_t)0xcb24c921, (q31_t)0x749121da, (q31_t)0xcb1f103e, (q31_t)0x748e8938, (q31_t)0xcb19577b, + (q31_t)0x748bf04d, (q31_t)0xcb139ed9, + (q31_t)0x7489571c, (q31_t)0xcb0de658, (q31_t)0x7486bda2, (q31_t)0xcb082df8, (q31_t)0x748423e0, (q31_t)0xcb0275b8, + (q31_t)0x748189d7, (q31_t)0xcafcbd99, + (q31_t)0x747eef85, (q31_t)0xcaf7059a, (q31_t)0x747c54ec, (q31_t)0xcaf14dbd, (q31_t)0x7479ba0b, (q31_t)0xcaeb9600, + (q31_t)0x74771ee2, (q31_t)0xcae5de64, + (q31_t)0x74748371, (q31_t)0xcae026e8, (q31_t)0x7471e7b8, (q31_t)0xcada6f8d, (q31_t)0x746f4bb8, (q31_t)0xcad4b853, + (q31_t)0x746caf70, (q31_t)0xcacf013a, + (q31_t)0x746a12df, (q31_t)0xcac94a42, (q31_t)0x74677608, (q31_t)0xcac3936b, (q31_t)0x7464d8e8, (q31_t)0xcabddcb4, + (q31_t)0x74623b80, (q31_t)0xcab8261e, + (q31_t)0x745f9dd1, (q31_t)0xcab26fa9, (q31_t)0x745cffda, (q31_t)0xcaacb955, (q31_t)0x745a619b, (q31_t)0xcaa70322, + (q31_t)0x7457c314, (q31_t)0xcaa14d10, + (q31_t)0x74552446, (q31_t)0xca9b971e, (q31_t)0x74528530, (q31_t)0xca95e14e, (q31_t)0x744fe5d2, (q31_t)0xca902b9f, + (q31_t)0x744d462c, (q31_t)0xca8a7610, + (q31_t)0x744aa63f, (q31_t)0xca84c0a3, (q31_t)0x7448060a, (q31_t)0xca7f0b56, (q31_t)0x7445658d, (q31_t)0xca79562b, + (q31_t)0x7442c4c8, (q31_t)0xca73a120, + (q31_t)0x744023bc, (q31_t)0xca6dec37, (q31_t)0x743d8268, (q31_t)0xca68376e, (q31_t)0x743ae0cc, (q31_t)0xca6282c7, + (q31_t)0x74383ee9, (q31_t)0xca5cce40, + (q31_t)0x74359cbd, (q31_t)0xca5719db, (q31_t)0x7432fa4b, (q31_t)0xca516597, (q31_t)0x74305790, (q31_t)0xca4bb174, + (q31_t)0x742db48e, (q31_t)0xca45fd72, + (q31_t)0x742b1144, (q31_t)0xca404992, (q31_t)0x74286db3, (q31_t)0xca3a95d2, (q31_t)0x7425c9da, (q31_t)0xca34e234, + (q31_t)0x742325b9, (q31_t)0xca2f2eb6, + (q31_t)0x74208150, (q31_t)0xca297b5a, (q31_t)0x741ddca0, (q31_t)0xca23c820, (q31_t)0x741b37a9, (q31_t)0xca1e1506, + (q31_t)0x74189269, (q31_t)0xca18620e, + (q31_t)0x7415ece2, (q31_t)0xca12af37, (q31_t)0x74134714, (q31_t)0xca0cfc81, (q31_t)0x7410a0fe, (q31_t)0xca0749ec, + (q31_t)0x740dfaa0, (q31_t)0xca019779, + (q31_t)0x740b53fb, (q31_t)0xc9fbe527, (q31_t)0x7408ad0e, (q31_t)0xc9f632f6, (q31_t)0x740605d9, (q31_t)0xc9f080e7, + (q31_t)0x74035e5d, (q31_t)0xc9eacef9, + (q31_t)0x7400b69a, (q31_t)0xc9e51d2d, (q31_t)0x73fe0e8f, (q31_t)0xc9df6b81, (q31_t)0x73fb663c, (q31_t)0xc9d9b9f7, + (q31_t)0x73f8bda2, (q31_t)0xc9d4088f, + (q31_t)0x73f614c0, (q31_t)0xc9ce5748, (q31_t)0x73f36b97, (q31_t)0xc9c8a622, (q31_t)0x73f0c226, (q31_t)0xc9c2f51e, + (q31_t)0x73ee186e, (q31_t)0xc9bd443c, + (q31_t)0x73eb6e6e, (q31_t)0xc9b7937a, (q31_t)0x73e8c426, (q31_t)0xc9b1e2db, (q31_t)0x73e61997, (q31_t)0xc9ac325d, + (q31_t)0x73e36ec1, (q31_t)0xc9a68200, + (q31_t)0x73e0c3a3, (q31_t)0xc9a0d1c5, (q31_t)0x73de183e, (q31_t)0xc99b21ab, (q31_t)0x73db6c91, (q31_t)0xc99571b3, + (q31_t)0x73d8c09d, (q31_t)0xc98fc1dc, + (q31_t)0x73d61461, (q31_t)0xc98a1227, (q31_t)0x73d367de, (q31_t)0xc9846294, (q31_t)0x73d0bb13, (q31_t)0xc97eb322, + (q31_t)0x73ce0e01, (q31_t)0xc97903d2, + (q31_t)0x73cb60a8, (q31_t)0xc97354a4, (q31_t)0x73c8b307, (q31_t)0xc96da597, (q31_t)0x73c6051f, (q31_t)0xc967f6ac, + (q31_t)0x73c356ef, (q31_t)0xc96247e2, + (q31_t)0x73c0a878, (q31_t)0xc95c993a, (q31_t)0x73bdf9b9, (q31_t)0xc956eab4, (q31_t)0x73bb4ab3, (q31_t)0xc9513c50, + (q31_t)0x73b89b66, (q31_t)0xc94b8e0d, + (q31_t)0x73b5ebd1, (q31_t)0xc945dfec, (q31_t)0x73b33bf5, (q31_t)0xc94031ed, (q31_t)0x73b08bd1, (q31_t)0xc93a8410, + (q31_t)0x73addb67, (q31_t)0xc934d654, + (q31_t)0x73ab2ab4, (q31_t)0xc92f28ba, (q31_t)0x73a879bb, (q31_t)0xc9297b42, (q31_t)0x73a5c87a, (q31_t)0xc923cdec, + (q31_t)0x73a316f2, (q31_t)0xc91e20b8, + (q31_t)0x73a06522, (q31_t)0xc91873a5, (q31_t)0x739db30b, (q31_t)0xc912c6b5, (q31_t)0x739b00ad, (q31_t)0xc90d19e6, + (q31_t)0x73984e07, (q31_t)0xc9076d39, + (q31_t)0x73959b1b, (q31_t)0xc901c0ae, (q31_t)0x7392e7e6, (q31_t)0xc8fc1445, (q31_t)0x7390346b, (q31_t)0xc8f667fe, + (q31_t)0x738d80a8, (q31_t)0xc8f0bbd9, + (q31_t)0x738acc9e, (q31_t)0xc8eb0fd6, (q31_t)0x7388184d, (q31_t)0xc8e563f5, (q31_t)0x738563b5, (q31_t)0xc8dfb836, + (q31_t)0x7382aed5, (q31_t)0xc8da0c99, + (q31_t)0x737ff9ae, (q31_t)0xc8d4611d, (q31_t)0x737d4440, (q31_t)0xc8ceb5c4, (q31_t)0x737a8e8a, (q31_t)0xc8c90a8d, + (q31_t)0x7377d88d, (q31_t)0xc8c35f78, + (q31_t)0x73752249, (q31_t)0xc8bdb485, (q31_t)0x73726bbe, (q31_t)0xc8b809b4, (q31_t)0x736fb4ec, (q31_t)0xc8b25f06, + (q31_t)0x736cfdd2, (q31_t)0xc8acb479, + (q31_t)0x736a4671, (q31_t)0xc8a70a0e, (q31_t)0x73678ec9, (q31_t)0xc8a15fc6, (q31_t)0x7364d6da, (q31_t)0xc89bb5a0, + (q31_t)0x73621ea4, (q31_t)0xc8960b9c, + (q31_t)0x735f6626, (q31_t)0xc89061ba, (q31_t)0x735cad61, (q31_t)0xc88ab7fa, (q31_t)0x7359f456, (q31_t)0xc8850e5d, + (q31_t)0x73573b03, (q31_t)0xc87f64e2, + (q31_t)0x73548168, (q31_t)0xc879bb89, (q31_t)0x7351c787, (q31_t)0xc8741252, (q31_t)0x734f0d5f, (q31_t)0xc86e693d, + (q31_t)0x734c52ef, (q31_t)0xc868c04b, + (q31_t)0x73499838, (q31_t)0xc863177b, (q31_t)0x7346dd3a, (q31_t)0xc85d6ece, (q31_t)0x734421f6, (q31_t)0xc857c642, + (q31_t)0x7341666a, (q31_t)0xc8521dd9, + (q31_t)0x733eaa96, (q31_t)0xc84c7593, (q31_t)0x733bee7c, (q31_t)0xc846cd6e, (q31_t)0x7339321b, (q31_t)0xc841256d, + (q31_t)0x73367572, (q31_t)0xc83b7d8d, + (q31_t)0x7333b883, (q31_t)0xc835d5d0, (q31_t)0x7330fb4d, (q31_t)0xc8302e35, (q31_t)0x732e3dcf, (q31_t)0xc82a86bd, + (q31_t)0x732b800a, (q31_t)0xc824df67, + (q31_t)0x7328c1ff, (q31_t)0xc81f3834, (q31_t)0x732603ac, (q31_t)0xc8199123, (q31_t)0x73234512, (q31_t)0xc813ea35, + (q31_t)0x73208632, (q31_t)0xc80e4369, + (q31_t)0x731dc70a, (q31_t)0xc8089cbf, (q31_t)0x731b079b, (q31_t)0xc802f638, (q31_t)0x731847e5, (q31_t)0xc7fd4fd4, + (q31_t)0x731587e8, (q31_t)0xc7f7a992, + (q31_t)0x7312c7a5, (q31_t)0xc7f20373, (q31_t)0x7310071a, (q31_t)0xc7ec5d76, (q31_t)0x730d4648, (q31_t)0xc7e6b79c, + (q31_t)0x730a8530, (q31_t)0xc7e111e5, + (q31_t)0x7307c3d0, (q31_t)0xc7db6c50, (q31_t)0x73050229, (q31_t)0xc7d5c6de, (q31_t)0x7302403c, (q31_t)0xc7d0218e, + (q31_t)0x72ff7e07, (q31_t)0xc7ca7c61, + (q31_t)0x72fcbb8c, (q31_t)0xc7c4d757, (q31_t)0x72f9f8c9, (q31_t)0xc7bf3270, (q31_t)0x72f735c0, (q31_t)0xc7b98dab, + (q31_t)0x72f47270, (q31_t)0xc7b3e909, + (q31_t)0x72f1aed9, (q31_t)0xc7ae4489, (q31_t)0x72eeeafb, (q31_t)0xc7a8a02c, (q31_t)0x72ec26d6, (q31_t)0xc7a2fbf3, + (q31_t)0x72e9626a, (q31_t)0xc79d57db, + (q31_t)0x72e69db7, (q31_t)0xc797b3e7, (q31_t)0x72e3d8be, (q31_t)0xc7921015, (q31_t)0x72e1137d, (q31_t)0xc78c6c67, + (q31_t)0x72de4df6, (q31_t)0xc786c8db, + (q31_t)0x72db8828, (q31_t)0xc7812572, (q31_t)0x72d8c213, (q31_t)0xc77b822b, (q31_t)0x72d5fbb7, (q31_t)0xc775df08, + (q31_t)0x72d33514, (q31_t)0xc7703c08, + (q31_t)0x72d06e2b, (q31_t)0xc76a992a, (q31_t)0x72cda6fb, (q31_t)0xc764f66f, (q31_t)0x72cadf83, (q31_t)0xc75f53d7, + (q31_t)0x72c817c6, (q31_t)0xc759b163, + (q31_t)0x72c54fc1, (q31_t)0xc7540f11, (q31_t)0x72c28775, (q31_t)0xc74e6ce2, (q31_t)0x72bfbee3, (q31_t)0xc748cad6, + (q31_t)0x72bcf60a, (q31_t)0xc74328ed, + (q31_t)0x72ba2cea, (q31_t)0xc73d8727, (q31_t)0x72b76383, (q31_t)0xc737e584, (q31_t)0x72b499d6, (q31_t)0xc7324404, + (q31_t)0x72b1cfe1, (q31_t)0xc72ca2a7, + (q31_t)0x72af05a7, (q31_t)0xc727016d, (q31_t)0x72ac3b25, (q31_t)0xc7216056, (q31_t)0x72a9705c, (q31_t)0xc71bbf62, + (q31_t)0x72a6a54d, (q31_t)0xc7161e92, + (q31_t)0x72a3d9f7, (q31_t)0xc7107de4, (q31_t)0x72a10e5b, (q31_t)0xc70add5a, (q31_t)0x729e4277, (q31_t)0xc7053cf2, + (q31_t)0x729b764d, (q31_t)0xc6ff9cae, + (q31_t)0x7298a9dd, (q31_t)0xc6f9fc8d, (q31_t)0x7295dd25, (q31_t)0xc6f45c8f, (q31_t)0x72931027, (q31_t)0xc6eebcb5, + (q31_t)0x729042e3, (q31_t)0xc6e91cfd, + (q31_t)0x728d7557, (q31_t)0xc6e37d69, (q31_t)0x728aa785, (q31_t)0xc6ddddf8, (q31_t)0x7287d96c, (q31_t)0xc6d83eab, + (q31_t)0x72850b0d, (q31_t)0xc6d29f80, + (q31_t)0x72823c67, (q31_t)0xc6cd0079, (q31_t)0x727f6d7a, (q31_t)0xc6c76195, (q31_t)0x727c9e47, (q31_t)0xc6c1c2d4, + (q31_t)0x7279cecd, (q31_t)0xc6bc2437, + (q31_t)0x7276ff0d, (q31_t)0xc6b685bd, (q31_t)0x72742f05, (q31_t)0xc6b0e767, (q31_t)0x72715eb8, (q31_t)0xc6ab4933, + (q31_t)0x726e8e23, (q31_t)0xc6a5ab23, + (q31_t)0x726bbd48, (q31_t)0xc6a00d37, (q31_t)0x7268ec27, (q31_t)0xc69a6f6e, (q31_t)0x72661abf, (q31_t)0xc694d1c8, + (q31_t)0x72634910, (q31_t)0xc68f3446, + (q31_t)0x7260771b, (q31_t)0xc68996e7, (q31_t)0x725da4df, (q31_t)0xc683f9ab, (q31_t)0x725ad25d, (q31_t)0xc67e5c93, + (q31_t)0x7257ff94, (q31_t)0xc678bf9f, + (q31_t)0x72552c85, (q31_t)0xc67322ce, (q31_t)0x7252592f, (q31_t)0xc66d8620, (q31_t)0x724f8593, (q31_t)0xc667e996, + (q31_t)0x724cb1b0, (q31_t)0xc6624d30, + (q31_t)0x7249dd86, (q31_t)0xc65cb0ed, (q31_t)0x72470916, (q31_t)0xc65714cd, (q31_t)0x72443460, (q31_t)0xc65178d1, + (q31_t)0x72415f63, (q31_t)0xc64bdcf9, + (q31_t)0x723e8a20, (q31_t)0xc6464144, (q31_t)0x723bb496, (q31_t)0xc640a5b3, (q31_t)0x7238dec5, (q31_t)0xc63b0a46, + (q31_t)0x723608af, (q31_t)0xc6356efc, + (q31_t)0x72333251, (q31_t)0xc62fd3d6, (q31_t)0x72305bae, (q31_t)0xc62a38d4, (q31_t)0x722d84c4, (q31_t)0xc6249df5, + (q31_t)0x722aad93, (q31_t)0xc61f033a, + (q31_t)0x7227d61c, (q31_t)0xc61968a2, (q31_t)0x7224fe5f, (q31_t)0xc613ce2f, (q31_t)0x7222265b, (q31_t)0xc60e33df, + (q31_t)0x721f4e11, (q31_t)0xc60899b2, + (q31_t)0x721c7580, (q31_t)0xc602ffaa, (q31_t)0x72199ca9, (q31_t)0xc5fd65c5, (q31_t)0x7216c38c, (q31_t)0xc5f7cc04, + (q31_t)0x7213ea28, (q31_t)0xc5f23267, + (q31_t)0x7211107e, (q31_t)0xc5ec98ee, (q31_t)0x720e368d, (q31_t)0xc5e6ff98, (q31_t)0x720b5c57, (q31_t)0xc5e16667, + (q31_t)0x720881d9, (q31_t)0xc5dbcd59, + (q31_t)0x7205a716, (q31_t)0xc5d6346f, (q31_t)0x7202cc0c, (q31_t)0xc5d09ba9, (q31_t)0x71fff0bc, (q31_t)0xc5cb0307, + (q31_t)0x71fd1525, (q31_t)0xc5c56a89, + (q31_t)0x71fa3949, (q31_t)0xc5bfd22e, (q31_t)0x71f75d25, (q31_t)0xc5ba39f8, (q31_t)0x71f480bc, (q31_t)0xc5b4a1e5, + (q31_t)0x71f1a40c, (q31_t)0xc5af09f7, + (q31_t)0x71eec716, (q31_t)0xc5a9722c, (q31_t)0x71ebe9da, (q31_t)0xc5a3da86, (q31_t)0x71e90c57, (q31_t)0xc59e4303, + (q31_t)0x71e62e8f, (q31_t)0xc598aba5, + (q31_t)0x71e35080, (q31_t)0xc593146a, (q31_t)0x71e0722a, (q31_t)0xc58d7d54, (q31_t)0x71dd938f, (q31_t)0xc587e661, + (q31_t)0x71dab4ad, (q31_t)0xc5824f93, + (q31_t)0x71d7d585, (q31_t)0xc57cb8e9, (q31_t)0x71d4f617, (q31_t)0xc5772263, (q31_t)0x71d21662, (q31_t)0xc5718c00, + (q31_t)0x71cf3667, (q31_t)0xc56bf5c2, + (q31_t)0x71cc5626, (q31_t)0xc5665fa9, (q31_t)0x71c9759f, (q31_t)0xc560c9b3, (q31_t)0x71c694d2, (q31_t)0xc55b33e2, + (q31_t)0x71c3b3bf, (q31_t)0xc5559e34, + (q31_t)0x71c0d265, (q31_t)0xc55008ab, (q31_t)0x71bdf0c5, (q31_t)0xc54a7346, (q31_t)0x71bb0edf, (q31_t)0xc544de05, + (q31_t)0x71b82cb3, (q31_t)0xc53f48e9, + (q31_t)0x71b54a41, (q31_t)0xc539b3f1, (q31_t)0x71b26788, (q31_t)0xc5341f1d, (q31_t)0x71af848a, (q31_t)0xc52e8a6d, + (q31_t)0x71aca145, (q31_t)0xc528f5e1, + (q31_t)0x71a9bdba, (q31_t)0xc523617a, (q31_t)0x71a6d9e9, (q31_t)0xc51dcd37, (q31_t)0x71a3f5d2, (q31_t)0xc5183919, + (q31_t)0x71a11175, (q31_t)0xc512a51f, + (q31_t)0x719e2cd2, (q31_t)0xc50d1149, (q31_t)0x719b47e9, (q31_t)0xc5077d97, (q31_t)0x719862b9, (q31_t)0xc501ea0a, + (q31_t)0x71957d44, (q31_t)0xc4fc56a2, + (q31_t)0x71929789, (q31_t)0xc4f6c35d, (q31_t)0x718fb187, (q31_t)0xc4f1303d, (q31_t)0x718ccb3f, (q31_t)0xc4eb9d42, + (q31_t)0x7189e4b2, (q31_t)0xc4e60a6b, + (q31_t)0x7186fdde, (q31_t)0xc4e077b8, (q31_t)0x718416c4, (q31_t)0xc4dae52a, (q31_t)0x71812f65, (q31_t)0xc4d552c1, + (q31_t)0x717e47bf, (q31_t)0xc4cfc07c, + (q31_t)0x717b5fd3, (q31_t)0xc4ca2e5b, (q31_t)0x717877a1, (q31_t)0xc4c49c5f, (q31_t)0x71758f29, (q31_t)0xc4bf0a87, + (q31_t)0x7172a66c, (q31_t)0xc4b978d4, + (q31_t)0x716fbd68, (q31_t)0xc4b3e746, (q31_t)0x716cd41e, (q31_t)0xc4ae55dc, (q31_t)0x7169ea8f, (q31_t)0xc4a8c497, + (q31_t)0x716700b9, (q31_t)0xc4a33376, + (q31_t)0x7164169d, (q31_t)0xc49da27a, (q31_t)0x71612c3c, (q31_t)0xc49811a3, (q31_t)0x715e4194, (q31_t)0xc49280f0, + (q31_t)0x715b56a7, (q31_t)0xc48cf062, + (q31_t)0x71586b74, (q31_t)0xc4875ff9, (q31_t)0x71557ffa, (q31_t)0xc481cfb4, (q31_t)0x7152943b, (q31_t)0xc47c3f94, + (q31_t)0x714fa836, (q31_t)0xc476af98, + (q31_t)0x714cbbeb, (q31_t)0xc4711fc2, (q31_t)0x7149cf5a, (q31_t)0xc46b9010, (q31_t)0x7146e284, (q31_t)0xc4660083, + (q31_t)0x7143f567, (q31_t)0xc460711b, + (q31_t)0x71410805, (q31_t)0xc45ae1d7, (q31_t)0x713e1a5c, (q31_t)0xc45552b8, (q31_t)0x713b2c6e, (q31_t)0xc44fc3be, + (q31_t)0x71383e3a, (q31_t)0xc44a34e9, + (q31_t)0x71354fc0, (q31_t)0xc444a639, (q31_t)0x71326101, (q31_t)0xc43f17ad, (q31_t)0x712f71fb, (q31_t)0xc4398947, + (q31_t)0x712c82b0, (q31_t)0xc433fb05, + (q31_t)0x7129931f, (q31_t)0xc42e6ce8, (q31_t)0x7126a348, (q31_t)0xc428def0, (q31_t)0x7123b32b, (q31_t)0xc423511d, + (q31_t)0x7120c2c8, (q31_t)0xc41dc36f, + (q31_t)0x711dd220, (q31_t)0xc41835e6, (q31_t)0x711ae132, (q31_t)0xc412a882, (q31_t)0x7117effe, (q31_t)0xc40d1b42, + (q31_t)0x7114fe84, (q31_t)0xc4078e28, + (q31_t)0x71120cc5, (q31_t)0xc4020133, (q31_t)0x710f1ac0, (q31_t)0xc3fc7462, (q31_t)0x710c2875, (q31_t)0xc3f6e7b7, + (q31_t)0x710935e4, (q31_t)0xc3f15b31, + (q31_t)0x7106430e, (q31_t)0xc3ebced0, (q31_t)0x71034ff2, (q31_t)0xc3e64294, (q31_t)0x71005c90, (q31_t)0xc3e0b67d, + (q31_t)0x70fd68e9, (q31_t)0xc3db2a8b, + (q31_t)0x70fa74fc, (q31_t)0xc3d59ebe, (q31_t)0x70f780c9, (q31_t)0xc3d01316, (q31_t)0x70f48c50, (q31_t)0xc3ca8793, + (q31_t)0x70f19792, (q31_t)0xc3c4fc36, + (q31_t)0x70eea28e, (q31_t)0xc3bf70fd, (q31_t)0x70ebad45, (q31_t)0xc3b9e5ea, (q31_t)0x70e8b7b5, (q31_t)0xc3b45afc, + (q31_t)0x70e5c1e1, (q31_t)0xc3aed034, + (q31_t)0x70e2cbc6, (q31_t)0xc3a94590, (q31_t)0x70dfd566, (q31_t)0xc3a3bb12, (q31_t)0x70dcdec0, (q31_t)0xc39e30b8, + (q31_t)0x70d9e7d5, (q31_t)0xc398a685, + (q31_t)0x70d6f0a4, (q31_t)0xc3931c76, (q31_t)0x70d3f92d, (q31_t)0xc38d928d, (q31_t)0x70d10171, (q31_t)0xc38808c9, + (q31_t)0x70ce096f, (q31_t)0xc3827f2a, + (q31_t)0x70cb1128, (q31_t)0xc37cf5b0, (q31_t)0x70c8189b, (q31_t)0xc3776c5c, (q31_t)0x70c51fc8, (q31_t)0xc371e32d, + (q31_t)0x70c226b0, (q31_t)0xc36c5a24, + (q31_t)0x70bf2d53, (q31_t)0xc366d140, (q31_t)0x70bc33b0, (q31_t)0xc3614881, (q31_t)0x70b939c7, (q31_t)0xc35bbfe8, + (q31_t)0x70b63f99, (q31_t)0xc3563774, + (q31_t)0x70b34525, (q31_t)0xc350af26, (q31_t)0x70b04a6b, (q31_t)0xc34b26fc, (q31_t)0x70ad4f6d, (q31_t)0xc3459ef9, + (q31_t)0x70aa5428, (q31_t)0xc340171b, + (q31_t)0x70a7589f, (q31_t)0xc33a8f62, (q31_t)0x70a45ccf, (q31_t)0xc33507cf, (q31_t)0x70a160ba, (q31_t)0xc32f8061, + (q31_t)0x709e6460, (q31_t)0xc329f919, + (q31_t)0x709b67c0, (q31_t)0xc32471f7, (q31_t)0x70986adb, (q31_t)0xc31eeaf9, (q31_t)0x70956db1, (q31_t)0xc3196422, + (q31_t)0x70927041, (q31_t)0xc313dd70, + (q31_t)0x708f728b, (q31_t)0xc30e56e4, (q31_t)0x708c7490, (q31_t)0xc308d07d, (q31_t)0x70897650, (q31_t)0xc3034a3c, + (q31_t)0x708677ca, (q31_t)0xc2fdc420, + (q31_t)0x708378ff, (q31_t)0xc2f83e2a, (q31_t)0x708079ee, (q31_t)0xc2f2b85a, (q31_t)0x707d7a98, (q31_t)0xc2ed32af, + (q31_t)0x707a7afd, (q31_t)0xc2e7ad2a, + (q31_t)0x70777b1c, (q31_t)0xc2e227cb, (q31_t)0x70747af6, (q31_t)0xc2dca291, (q31_t)0x70717a8a, (q31_t)0xc2d71d7e, + (q31_t)0x706e79d9, (q31_t)0xc2d1988f, + (q31_t)0x706b78e3, (q31_t)0xc2cc13c7, (q31_t)0x706877a7, (q31_t)0xc2c68f24, (q31_t)0x70657626, (q31_t)0xc2c10aa7, + (q31_t)0x70627460, (q31_t)0xc2bb8650, + (q31_t)0x705f7255, (q31_t)0xc2b6021f, (q31_t)0x705c7004, (q31_t)0xc2b07e14, (q31_t)0x70596d6d, (q31_t)0xc2aafa2e, + (q31_t)0x70566a92, (q31_t)0xc2a5766e, + (q31_t)0x70536771, (q31_t)0xc29ff2d4, (q31_t)0x7050640b, (q31_t)0xc29a6f60, (q31_t)0x704d6060, (q31_t)0xc294ec12, + (q31_t)0x704a5c6f, (q31_t)0xc28f68e9, + (q31_t)0x70475839, (q31_t)0xc289e5e7, (q31_t)0x704453be, (q31_t)0xc284630a, (q31_t)0x70414efd, (q31_t)0xc27ee054, + (q31_t)0x703e49f8, (q31_t)0xc2795dc3, + (q31_t)0x703b44ad, (q31_t)0xc273db58, (q31_t)0x70383f1d, (q31_t)0xc26e5913, (q31_t)0x70353947, (q31_t)0xc268d6f5, + (q31_t)0x7032332d, (q31_t)0xc26354fc, + (q31_t)0x702f2ccd, (q31_t)0xc25dd329, (q31_t)0x702c2628, (q31_t)0xc258517c, (q31_t)0x70291f3e, (q31_t)0xc252cff5, + (q31_t)0x7026180e, (q31_t)0xc24d4e95, + (q31_t)0x7023109a, (q31_t)0xc247cd5a, (q31_t)0x702008e0, (q31_t)0xc2424c46, (q31_t)0x701d00e1, (q31_t)0xc23ccb57, + (q31_t)0x7019f89d, (q31_t)0xc2374a8f, + (q31_t)0x7016f014, (q31_t)0xc231c9ec, (q31_t)0x7013e746, (q31_t)0xc22c4970, (q31_t)0x7010de32, (q31_t)0xc226c91a, + (q31_t)0x700dd4da, (q31_t)0xc22148ea, + (q31_t)0x700acb3c, (q31_t)0xc21bc8e1, (q31_t)0x7007c159, (q31_t)0xc21648fd, (q31_t)0x7004b731, (q31_t)0xc210c940, + (q31_t)0x7001acc4, (q31_t)0xc20b49a9, + (q31_t)0x6ffea212, (q31_t)0xc205ca38, (q31_t)0x6ffb971b, (q31_t)0xc2004aed, (q31_t)0x6ff88bde, (q31_t)0xc1facbc9, + (q31_t)0x6ff5805d, (q31_t)0xc1f54cca, + (q31_t)0x6ff27497, (q31_t)0xc1efcdf3, (q31_t)0x6fef688b, (q31_t)0xc1ea4f41, (q31_t)0x6fec5c3b, (q31_t)0xc1e4d0b6, + (q31_t)0x6fe94fa5, (q31_t)0xc1df5251, + (q31_t)0x6fe642ca, (q31_t)0xc1d9d412, (q31_t)0x6fe335ab, (q31_t)0xc1d455f9, (q31_t)0x6fe02846, (q31_t)0xc1ced807, + (q31_t)0x6fdd1a9c, (q31_t)0xc1c95a3c, + (q31_t)0x6fda0cae, (q31_t)0xc1c3dc97, (q31_t)0x6fd6fe7a, (q31_t)0xc1be5f18, (q31_t)0x6fd3f001, (q31_t)0xc1b8e1bf, + (q31_t)0x6fd0e144, (q31_t)0xc1b3648d, + (q31_t)0x6fcdd241, (q31_t)0xc1ade781, (q31_t)0x6fcac2fa, (q31_t)0xc1a86a9c, (q31_t)0x6fc7b36d, (q31_t)0xc1a2edde, + (q31_t)0x6fc4a39c, (q31_t)0xc19d7145, + (q31_t)0x6fc19385, (q31_t)0xc197f4d4, (q31_t)0x6fbe832a, (q31_t)0xc1927888, (q31_t)0x6fbb728a, (q31_t)0xc18cfc63, + (q31_t)0x6fb861a4, (q31_t)0xc1878065, + (q31_t)0x6fb5507a, (q31_t)0xc182048d, (q31_t)0x6fb23f0b, (q31_t)0xc17c88dc, (q31_t)0x6faf2d57, (q31_t)0xc1770d52, + (q31_t)0x6fac1b5f, (q31_t)0xc17191ee, + (q31_t)0x6fa90921, (q31_t)0xc16c16b0, (q31_t)0x6fa5f69e, (q31_t)0xc1669b99, (q31_t)0x6fa2e3d7, (q31_t)0xc16120a9, + (q31_t)0x6f9fd0cb, (q31_t)0xc15ba5df, + (q31_t)0x6f9cbd79, (q31_t)0xc1562b3d, (q31_t)0x6f99a9e3, (q31_t)0xc150b0c0, (q31_t)0x6f969608, (q31_t)0xc14b366b, + (q31_t)0x6f9381e9, (q31_t)0xc145bc3c, + (q31_t)0x6f906d84, (q31_t)0xc1404233, (q31_t)0x6f8d58db, (q31_t)0xc13ac852, (q31_t)0x6f8a43ed, (q31_t)0xc1354e97, + (q31_t)0x6f872eba, (q31_t)0xc12fd503, + (q31_t)0x6f841942, (q31_t)0xc12a5b95, (q31_t)0x6f810386, (q31_t)0xc124e24f, (q31_t)0x6f7ded84, (q31_t)0xc11f692f, + (q31_t)0x6f7ad73e, (q31_t)0xc119f036, + (q31_t)0x6f77c0b3, (q31_t)0xc1147764, (q31_t)0x6f74a9e4, (q31_t)0xc10efeb8, (q31_t)0x6f7192cf, (q31_t)0xc1098634, + (q31_t)0x6f6e7b76, (q31_t)0xc1040dd6, + (q31_t)0x6f6b63d8, (q31_t)0xc0fe959f, (q31_t)0x6f684bf6, (q31_t)0xc0f91d8f, (q31_t)0x6f6533ce, (q31_t)0xc0f3a5a6, + (q31_t)0x6f621b62, (q31_t)0xc0ee2de3, + (q31_t)0x6f5f02b2, (q31_t)0xc0e8b648, (q31_t)0x6f5be9bc, (q31_t)0xc0e33ed4, (q31_t)0x6f58d082, (q31_t)0xc0ddc786, + (q31_t)0x6f55b703, (q31_t)0xc0d8505f, + (q31_t)0x6f529d40, (q31_t)0xc0d2d960, (q31_t)0x6f4f8338, (q31_t)0xc0cd6287, (q31_t)0x6f4c68eb, (q31_t)0xc0c7ebd6, + (q31_t)0x6f494e5a, (q31_t)0xc0c2754b, + (q31_t)0x6f463383, (q31_t)0xc0bcfee7, (q31_t)0x6f431869, (q31_t)0xc0b788ab, (q31_t)0x6f3ffd09, (q31_t)0xc0b21295, + (q31_t)0x6f3ce165, (q31_t)0xc0ac9ca6, + (q31_t)0x6f39c57d, (q31_t)0xc0a726df, (q31_t)0x6f36a94f, (q31_t)0xc0a1b13e, (q31_t)0x6f338cde, (q31_t)0xc09c3bc5, + (q31_t)0x6f307027, (q31_t)0xc096c673, + (q31_t)0x6f2d532c, (q31_t)0xc0915148, (q31_t)0x6f2a35ed, (q31_t)0xc08bdc44, (q31_t)0x6f271868, (q31_t)0xc0866767, + (q31_t)0x6f23faa0, (q31_t)0xc080f2b1, + (q31_t)0x6f20dc92, (q31_t)0xc07b7e23, (q31_t)0x6f1dbe41, (q31_t)0xc07609bb, (q31_t)0x6f1a9faa, (q31_t)0xc070957b, + (q31_t)0x6f1780cf, (q31_t)0xc06b2162, + (q31_t)0x6f1461b0, (q31_t)0xc065ad70, (q31_t)0x6f11424c, (q31_t)0xc06039a6, (q31_t)0x6f0e22a3, (q31_t)0xc05ac603, + (q31_t)0x6f0b02b6, (q31_t)0xc0555287, + (q31_t)0x6f07e285, (q31_t)0xc04fdf32, (q31_t)0x6f04c20f, (q31_t)0xc04a6c05, (q31_t)0x6f01a155, (q31_t)0xc044f8fe, + (q31_t)0x6efe8056, (q31_t)0xc03f8620, + (q31_t)0x6efb5f12, (q31_t)0xc03a1368, (q31_t)0x6ef83d8a, (q31_t)0xc034a0d8, (q31_t)0x6ef51bbe, (q31_t)0xc02f2e6f, + (q31_t)0x6ef1f9ad, (q31_t)0xc029bc2e, + (q31_t)0x6eeed758, (q31_t)0xc0244a14, (q31_t)0x6eebb4bf, (q31_t)0xc01ed821, (q31_t)0x6ee891e1, (q31_t)0xc0196656, + (q31_t)0x6ee56ebe, (q31_t)0xc013f4b2, + (q31_t)0x6ee24b57, (q31_t)0xc00e8336, (q31_t)0x6edf27ac, (q31_t)0xc00911e1, (q31_t)0x6edc03bc, (q31_t)0xc003a0b3, + (q31_t)0x6ed8df88, (q31_t)0xbffe2fad, + (q31_t)0x6ed5bb10, (q31_t)0xbff8bece, (q31_t)0x6ed29653, (q31_t)0xbff34e17, (q31_t)0x6ecf7152, (q31_t)0xbfeddd88, + (q31_t)0x6ecc4c0d, (q31_t)0xbfe86d20, + (q31_t)0x6ec92683, (q31_t)0xbfe2fcdf, (q31_t)0x6ec600b5, (q31_t)0xbfdd8cc6, (q31_t)0x6ec2daa2, (q31_t)0xbfd81cd5, + (q31_t)0x6ebfb44b, (q31_t)0xbfd2ad0b, + (q31_t)0x6ebc8db0, (q31_t)0xbfcd3d69, (q31_t)0x6eb966d1, (q31_t)0xbfc7cdee, (q31_t)0x6eb63fad, (q31_t)0xbfc25e9b, + (q31_t)0x6eb31845, (q31_t)0xbfbcef70, + (q31_t)0x6eaff099, (q31_t)0xbfb7806c, (q31_t)0x6eacc8a8, (q31_t)0xbfb21190, (q31_t)0x6ea9a073, (q31_t)0xbfaca2dc, + (q31_t)0x6ea677fa, (q31_t)0xbfa7344f, + (q31_t)0x6ea34f3d, (q31_t)0xbfa1c5ea, (q31_t)0x6ea0263b, (q31_t)0xbf9c57ac, (q31_t)0x6e9cfcf5, (q31_t)0xbf96e997, + (q31_t)0x6e99d36b, (q31_t)0xbf917ba9, + (q31_t)0x6e96a99d, (q31_t)0xbf8c0de3, (q31_t)0x6e937f8a, (q31_t)0xbf86a044, (q31_t)0x6e905534, (q31_t)0xbf8132ce, + (q31_t)0x6e8d2a99, (q31_t)0xbf7bc57f, + (q31_t)0x6e89ffb9, (q31_t)0xbf765858, (q31_t)0x6e86d496, (q31_t)0xbf70eb59, (q31_t)0x6e83a92f, (q31_t)0xbf6b7e81, + (q31_t)0x6e807d83, (q31_t)0xbf6611d2, + (q31_t)0x6e7d5193, (q31_t)0xbf60a54a, (q31_t)0x6e7a255f, (q31_t)0xbf5b38ea, (q31_t)0x6e76f8e7, (q31_t)0xbf55ccb2, + (q31_t)0x6e73cc2b, (q31_t)0xbf5060a2, + (q31_t)0x6e709f2a, (q31_t)0xbf4af4ba, (q31_t)0x6e6d71e6, (q31_t)0xbf4588fa, (q31_t)0x6e6a445d, (q31_t)0xbf401d61, + (q31_t)0x6e671690, (q31_t)0xbf3ab1f1, + (q31_t)0x6e63e87f, (q31_t)0xbf3546a8, (q31_t)0x6e60ba2a, (q31_t)0xbf2fdb88, (q31_t)0x6e5d8b91, (q31_t)0xbf2a708f, + (q31_t)0x6e5a5cb4, (q31_t)0xbf2505bf, + (q31_t)0x6e572d93, (q31_t)0xbf1f9b16, (q31_t)0x6e53fe2e, (q31_t)0xbf1a3096, (q31_t)0x6e50ce84, (q31_t)0xbf14c63d, + (q31_t)0x6e4d9e97, (q31_t)0xbf0f5c0d, + (q31_t)0x6e4a6e66, (q31_t)0xbf09f205, (q31_t)0x6e473df0, (q31_t)0xbf048824, (q31_t)0x6e440d37, (q31_t)0xbeff1e6c, + (q31_t)0x6e40dc39, (q31_t)0xbef9b4dc, + (q31_t)0x6e3daaf8, (q31_t)0xbef44b74, (q31_t)0x6e3a7972, (q31_t)0xbeeee234, (q31_t)0x6e3747a9, (q31_t)0xbee9791c, + (q31_t)0x6e34159b, (q31_t)0xbee4102d, + (q31_t)0x6e30e34a, (q31_t)0xbedea765, (q31_t)0x6e2db0b4, (q31_t)0xbed93ec6, (q31_t)0x6e2a7ddb, (q31_t)0xbed3d64f, + (q31_t)0x6e274abe, (q31_t)0xbece6e00, + (q31_t)0x6e24175c, (q31_t)0xbec905d9, (q31_t)0x6e20e3b7, (q31_t)0xbec39ddb, (q31_t)0x6e1dafce, (q31_t)0xbebe3605, + (q31_t)0x6e1a7ba1, (q31_t)0xbeb8ce57, + (q31_t)0x6e174730, (q31_t)0xbeb366d1, (q31_t)0x6e14127b, (q31_t)0xbeadff74, (q31_t)0x6e10dd82, (q31_t)0xbea8983f, + (q31_t)0x6e0da845, (q31_t)0xbea33132, + (q31_t)0x6e0a72c5, (q31_t)0xbe9dca4e, (q31_t)0x6e073d00, (q31_t)0xbe986391, (q31_t)0x6e0406f8, (q31_t)0xbe92fcfe, + (q31_t)0x6e00d0ac, (q31_t)0xbe8d9692, + (q31_t)0x6dfd9a1c, (q31_t)0xbe88304f, (q31_t)0x6dfa6348, (q31_t)0xbe82ca35, (q31_t)0x6df72c30, (q31_t)0xbe7d6442, + (q31_t)0x6df3f4d4, (q31_t)0xbe77fe78, + (q31_t)0x6df0bd35, (q31_t)0xbe7298d7, (q31_t)0x6ded8552, (q31_t)0xbe6d335e, (q31_t)0x6dea4d2b, (q31_t)0xbe67ce0d, + (q31_t)0x6de714c0, (q31_t)0xbe6268e5, + (q31_t)0x6de3dc11, (q31_t)0xbe5d03e6, (q31_t)0x6de0a31f, (q31_t)0xbe579f0f, (q31_t)0x6ddd69e9, (q31_t)0xbe523a60, + (q31_t)0x6dda306f, (q31_t)0xbe4cd5da, + (q31_t)0x6dd6f6b1, (q31_t)0xbe47717c, (q31_t)0x6dd3bcaf, (q31_t)0xbe420d47, (q31_t)0x6dd0826a, (q31_t)0xbe3ca93b, + (q31_t)0x6dcd47e1, (q31_t)0xbe374557, + (q31_t)0x6dca0d14, (q31_t)0xbe31e19b, (q31_t)0x6dc6d204, (q31_t)0xbe2c7e09, (q31_t)0x6dc396b0, (q31_t)0xbe271a9f, + (q31_t)0x6dc05b18, (q31_t)0xbe21b75d, + (q31_t)0x6dbd1f3c, (q31_t)0xbe1c5444, (q31_t)0x6db9e31d, (q31_t)0xbe16f154, (q31_t)0x6db6a6ba, (q31_t)0xbe118e8c, + (q31_t)0x6db36a14, (q31_t)0xbe0c2bed, + (q31_t)0x6db02d29, (q31_t)0xbe06c977, (q31_t)0x6daceffb, (q31_t)0xbe01672a, (q31_t)0x6da9b28a, (q31_t)0xbdfc0505, + (q31_t)0x6da674d5, (q31_t)0xbdf6a309, + (q31_t)0x6da336dc, (q31_t)0xbdf14135, (q31_t)0x6d9ff89f, (q31_t)0xbdebdf8b, (q31_t)0x6d9cba1f, (q31_t)0xbde67e09, + (q31_t)0x6d997b5b, (q31_t)0xbde11cb0, + (q31_t)0x6d963c54, (q31_t)0xbddbbb7f, (q31_t)0x6d92fd09, (q31_t)0xbdd65a78, (q31_t)0x6d8fbd7a, (q31_t)0xbdd0f999, + (q31_t)0x6d8c7da8, (q31_t)0xbdcb98e3, + (q31_t)0x6d893d93, (q31_t)0xbdc63856, (q31_t)0x6d85fd39, (q31_t)0xbdc0d7f2, (q31_t)0x6d82bc9d, (q31_t)0xbdbb77b7, + (q31_t)0x6d7f7bbc, (q31_t)0xbdb617a4, + (q31_t)0x6d7c3a98, (q31_t)0xbdb0b7bb, (q31_t)0x6d78f931, (q31_t)0xbdab57fa, (q31_t)0x6d75b786, (q31_t)0xbda5f862, + (q31_t)0x6d727597, (q31_t)0xbda098f3, + (q31_t)0x6d6f3365, (q31_t)0xbd9b39ad, (q31_t)0x6d6bf0f0, (q31_t)0xbd95da91, (q31_t)0x6d68ae37, (q31_t)0xbd907b9d, + (q31_t)0x6d656b3a, (q31_t)0xbd8b1cd2, + (q31_t)0x6d6227fa, (q31_t)0xbd85be30, (q31_t)0x6d5ee477, (q31_t)0xbd805fb7, (q31_t)0x6d5ba0b0, (q31_t)0xbd7b0167, + (q31_t)0x6d585ca6, (q31_t)0xbd75a340, + (q31_t)0x6d551858, (q31_t)0xbd704542, (q31_t)0x6d51d3c6, (q31_t)0xbd6ae76d, (q31_t)0x6d4e8ef2, (q31_t)0xbd6589c1, + (q31_t)0x6d4b49da, (q31_t)0xbd602c3f, + (q31_t)0x6d48047e, (q31_t)0xbd5acee5, (q31_t)0x6d44bedf, (q31_t)0xbd5571b5, (q31_t)0x6d4178fd, (q31_t)0xbd5014ad, + (q31_t)0x6d3e32d7, (q31_t)0xbd4ab7cf, + (q31_t)0x6d3aec6e, (q31_t)0xbd455b1a, (q31_t)0x6d37a5c1, (q31_t)0xbd3ffe8e, (q31_t)0x6d345ed1, (q31_t)0xbd3aa22c, + (q31_t)0x6d31179e, (q31_t)0xbd3545f2, + (q31_t)0x6d2dd027, (q31_t)0xbd2fe9e2, (q31_t)0x6d2a886e, (q31_t)0xbd2a8dfb, (q31_t)0x6d274070, (q31_t)0xbd25323d, + (q31_t)0x6d23f830, (q31_t)0xbd1fd6a8, + (q31_t)0x6d20afac, (q31_t)0xbd1a7b3d, (q31_t)0x6d1d66e4, (q31_t)0xbd151ffb, (q31_t)0x6d1a1dda, (q31_t)0xbd0fc4e2, + (q31_t)0x6d16d48c, (q31_t)0xbd0a69f2, + (q31_t)0x6d138afb, (q31_t)0xbd050f2c, (q31_t)0x6d104126, (q31_t)0xbcffb48f, (q31_t)0x6d0cf70f, (q31_t)0xbcfa5a1b, + (q31_t)0x6d09acb4, (q31_t)0xbcf4ffd1, + (q31_t)0x6d066215, (q31_t)0xbcefa5b0, (q31_t)0x6d031734, (q31_t)0xbcea4bb9, (q31_t)0x6cffcc0f, (q31_t)0xbce4f1eb, + (q31_t)0x6cfc80a7, (q31_t)0xbcdf9846, + (q31_t)0x6cf934fc, (q31_t)0xbcda3ecb, (q31_t)0x6cf5e90d, (q31_t)0xbcd4e579, (q31_t)0x6cf29cdc, (q31_t)0xbccf8c50, + (q31_t)0x6cef5067, (q31_t)0xbcca3351, + (q31_t)0x6cec03af, (q31_t)0xbcc4da7b, (q31_t)0x6ce8b6b4, (q31_t)0xbcbf81cf, (q31_t)0x6ce56975, (q31_t)0xbcba294d, + (q31_t)0x6ce21bf4, (q31_t)0xbcb4d0f4, + (q31_t)0x6cdece2f, (q31_t)0xbcaf78c4, (q31_t)0x6cdb8027, (q31_t)0xbcaa20be, (q31_t)0x6cd831dc, (q31_t)0xbca4c8e1, + (q31_t)0x6cd4e34e, (q31_t)0xbc9f712e, + (q31_t)0x6cd1947c, (q31_t)0xbc9a19a5, (q31_t)0x6cce4568, (q31_t)0xbc94c245, (q31_t)0x6ccaf610, (q31_t)0xbc8f6b0f, + (q31_t)0x6cc7a676, (q31_t)0xbc8a1402, + (q31_t)0x6cc45698, (q31_t)0xbc84bd1f, (q31_t)0x6cc10677, (q31_t)0xbc7f6665, (q31_t)0x6cbdb613, (q31_t)0xbc7a0fd6, + (q31_t)0x6cba656c, (q31_t)0xbc74b96f, + (q31_t)0x6cb71482, (q31_t)0xbc6f6333, (q31_t)0x6cb3c355, (q31_t)0xbc6a0d20, (q31_t)0x6cb071e4, (q31_t)0xbc64b737, + (q31_t)0x6cad2031, (q31_t)0xbc5f6177, + (q31_t)0x6ca9ce3b, (q31_t)0xbc5a0be2, (q31_t)0x6ca67c01, (q31_t)0xbc54b676, (q31_t)0x6ca32985, (q31_t)0xbc4f6134, + (q31_t)0x6c9fd6c6, (q31_t)0xbc4a0c1b, + (q31_t)0x6c9c83c3, (q31_t)0xbc44b72c, (q31_t)0x6c99307e, (q31_t)0xbc3f6267, (q31_t)0x6c95dcf6, (q31_t)0xbc3a0dcc, + (q31_t)0x6c92892a, (q31_t)0xbc34b95b, + (q31_t)0x6c8f351c, (q31_t)0xbc2f6513, (q31_t)0x6c8be0cb, (q31_t)0xbc2a10f6, (q31_t)0x6c888c36, (q31_t)0xbc24bd02, + (q31_t)0x6c85375f, (q31_t)0xbc1f6938, + (q31_t)0x6c81e245, (q31_t)0xbc1a1598, (q31_t)0x6c7e8ce8, (q31_t)0xbc14c221, (q31_t)0x6c7b3748, (q31_t)0xbc0f6ed5, + (q31_t)0x6c77e165, (q31_t)0xbc0a1bb3, + (q31_t)0x6c748b3f, (q31_t)0xbc04c8ba, (q31_t)0x6c7134d7, (q31_t)0xbbff75ec, (q31_t)0x6c6dde2b, (q31_t)0xbbfa2347, + (q31_t)0x6c6a873d, (q31_t)0xbbf4d0cc, + (q31_t)0x6c67300b, (q31_t)0xbbef7e7c, (q31_t)0x6c63d897, (q31_t)0xbbea2c55, (q31_t)0x6c6080e0, (q31_t)0xbbe4da58, + (q31_t)0x6c5d28e6, (q31_t)0xbbdf8885, + (q31_t)0x6c59d0a9, (q31_t)0xbbda36dd, (q31_t)0x6c56782a, (q31_t)0xbbd4e55e, (q31_t)0x6c531f67, (q31_t)0xbbcf940a, + (q31_t)0x6c4fc662, (q31_t)0xbbca42df, + (q31_t)0x6c4c6d1a, (q31_t)0xbbc4f1df, (q31_t)0x6c49138f, (q31_t)0xbbbfa108, (q31_t)0x6c45b9c1, (q31_t)0xbbba505c, + (q31_t)0x6c425fb1, (q31_t)0xbbb4ffda, + (q31_t)0x6c3f055d, (q31_t)0xbbafaf82, (q31_t)0x6c3baac7, (q31_t)0xbbaa5f54, (q31_t)0x6c384fef, (q31_t)0xbba50f50, + (q31_t)0x6c34f4d3, (q31_t)0xbb9fbf77, + (q31_t)0x6c319975, (q31_t)0xbb9a6fc7, (q31_t)0x6c2e3dd4, (q31_t)0xbb952042, (q31_t)0x6c2ae1f0, (q31_t)0xbb8fd0e7, + (q31_t)0x6c2785ca, (q31_t)0xbb8a81b6, + (q31_t)0x6c242960, (q31_t)0xbb8532b0, (q31_t)0x6c20ccb4, (q31_t)0xbb7fe3d3, (q31_t)0x6c1d6fc6, (q31_t)0xbb7a9521, + (q31_t)0x6c1a1295, (q31_t)0xbb754699, + (q31_t)0x6c16b521, (q31_t)0xbb6ff83c, (q31_t)0x6c13576a, (q31_t)0xbb6aaa09, (q31_t)0x6c0ff971, (q31_t)0xbb655c00, + (q31_t)0x6c0c9b35, (q31_t)0xbb600e21, + (q31_t)0x6c093cb6, (q31_t)0xbb5ac06d, (q31_t)0x6c05ddf5, (q31_t)0xbb5572e3, (q31_t)0x6c027ef1, (q31_t)0xbb502583, + (q31_t)0x6bff1faa, (q31_t)0xbb4ad84e, + (q31_t)0x6bfbc021, (q31_t)0xbb458b43, (q31_t)0x6bf86055, (q31_t)0xbb403e63, (q31_t)0x6bf50047, (q31_t)0xbb3af1ad, + (q31_t)0x6bf19ff6, (q31_t)0xbb35a521, + (q31_t)0x6bee3f62, (q31_t)0xbb3058c0, (q31_t)0x6beade8c, (q31_t)0xbb2b0c8a, (q31_t)0x6be77d74, (q31_t)0xbb25c07d, + (q31_t)0x6be41c18, (q31_t)0xbb20749c, + (q31_t)0x6be0ba7b, (q31_t)0xbb1b28e4, (q31_t)0x6bdd589a, (q31_t)0xbb15dd57, (q31_t)0x6bd9f677, (q31_t)0xbb1091f5, + (q31_t)0x6bd69412, (q31_t)0xbb0b46bd, + (q31_t)0x6bd3316a, (q31_t)0xbb05fbb0, (q31_t)0x6bcfce80, (q31_t)0xbb00b0ce, (q31_t)0x6bcc6b53, (q31_t)0xbafb6615, + (q31_t)0x6bc907e3, (q31_t)0xbaf61b88, + (q31_t)0x6bc5a431, (q31_t)0xbaf0d125, (q31_t)0x6bc2403d, (q31_t)0xbaeb86ed, (q31_t)0x6bbedc06, (q31_t)0xbae63cdf, + (q31_t)0x6bbb778d, (q31_t)0xbae0f2fc, + (q31_t)0x6bb812d1, (q31_t)0xbadba943, (q31_t)0x6bb4add3, (q31_t)0xbad65fb5, (q31_t)0x6bb14892, (q31_t)0xbad11652, + (q31_t)0x6bade30f, (q31_t)0xbacbcd1a, + (q31_t)0x6baa7d49, (q31_t)0xbac6840c, (q31_t)0x6ba71741, (q31_t)0xbac13b29, (q31_t)0x6ba3b0f7, (q31_t)0xbabbf270, + (q31_t)0x6ba04a6a, (q31_t)0xbab6a9e3, + (q31_t)0x6b9ce39b, (q31_t)0xbab16180, (q31_t)0x6b997c8a, (q31_t)0xbaac1948, (q31_t)0x6b961536, (q31_t)0xbaa6d13a, + (q31_t)0x6b92ada0, (q31_t)0xbaa18958, + (q31_t)0x6b8f45c7, (q31_t)0xba9c41a0, (q31_t)0x6b8bddac, (q31_t)0xba96fa13, (q31_t)0x6b88754f, (q31_t)0xba91b2b1, + (q31_t)0x6b850caf, (q31_t)0xba8c6b79, + (q31_t)0x6b81a3cd, (q31_t)0xba87246d, (q31_t)0x6b7e3aa9, (q31_t)0xba81dd8b, (q31_t)0x6b7ad142, (q31_t)0xba7c96d4, + (q31_t)0x6b776799, (q31_t)0xba775048, + (q31_t)0x6b73fdae, (q31_t)0xba7209e7, (q31_t)0x6b709381, (q31_t)0xba6cc3b1, (q31_t)0x6b6d2911, (q31_t)0xba677da6, + (q31_t)0x6b69be5f, (q31_t)0xba6237c5, + (q31_t)0x6b66536b, (q31_t)0xba5cf210, (q31_t)0x6b62e834, (q31_t)0xba57ac86, (q31_t)0x6b5f7cbc, (q31_t)0xba526726, + (q31_t)0x6b5c1101, (q31_t)0xba4d21f2, + (q31_t)0x6b58a503, (q31_t)0xba47dce8, (q31_t)0x6b5538c4, (q31_t)0xba42980a, (q31_t)0x6b51cc42, (q31_t)0xba3d5356, + (q31_t)0x6b4e5f7f, (q31_t)0xba380ece, + (q31_t)0x6b4af279, (q31_t)0xba32ca71, (q31_t)0x6b478530, (q31_t)0xba2d863e, (q31_t)0x6b4417a6, (q31_t)0xba284237, + (q31_t)0x6b40a9d9, (q31_t)0xba22fe5b, + (q31_t)0x6b3d3bcb, (q31_t)0xba1dbaaa, (q31_t)0x6b39cd7a, (q31_t)0xba187724, (q31_t)0x6b365ee7, (q31_t)0xba1333c9, + (q31_t)0x6b32f012, (q31_t)0xba0df099, + (q31_t)0x6b2f80fb, (q31_t)0xba08ad95, (q31_t)0x6b2c11a1, (q31_t)0xba036abb, (q31_t)0x6b28a206, (q31_t)0xb9fe280d, + (q31_t)0x6b253228, (q31_t)0xb9f8e58a, + (q31_t)0x6b21c208, (q31_t)0xb9f3a332, (q31_t)0x6b1e51a7, (q31_t)0xb9ee6106, (q31_t)0x6b1ae103, (q31_t)0xb9e91f04, + (q31_t)0x6b17701d, (q31_t)0xb9e3dd2e, + (q31_t)0x6b13fef5, (q31_t)0xb9de9b83, (q31_t)0x6b108d8b, (q31_t)0xb9d95a03, (q31_t)0x6b0d1bdf, (q31_t)0xb9d418af, + (q31_t)0x6b09a9f1, (q31_t)0xb9ced786, + (q31_t)0x6b0637c1, (q31_t)0xb9c99688, (q31_t)0x6b02c54f, (q31_t)0xb9c455b6, (q31_t)0x6aff529a, (q31_t)0xb9bf150e, + (q31_t)0x6afbdfa4, (q31_t)0xb9b9d493, + (q31_t)0x6af86c6c, (q31_t)0xb9b49442, (q31_t)0x6af4f8f2, (q31_t)0xb9af541d, (q31_t)0x6af18536, (q31_t)0xb9aa1423, + (q31_t)0x6aee1138, (q31_t)0xb9a4d455, + (q31_t)0x6aea9cf8, (q31_t)0xb99f94b2, (q31_t)0x6ae72876, (q31_t)0xb99a553a, (q31_t)0x6ae3b3b2, (q31_t)0xb99515ee, + (q31_t)0x6ae03eac, (q31_t)0xb98fd6cd, + (q31_t)0x6adcc964, (q31_t)0xb98a97d8, (q31_t)0x6ad953db, (q31_t)0xb985590e, (q31_t)0x6ad5de0f, (q31_t)0xb9801a70, + (q31_t)0x6ad26802, (q31_t)0xb97adbfd, + (q31_t)0x6acef1b2, (q31_t)0xb9759db6, (q31_t)0x6acb7b21, (q31_t)0xb9705f9a, (q31_t)0x6ac8044e, (q31_t)0xb96b21aa, + (q31_t)0x6ac48d39, (q31_t)0xb965e3e5, + (q31_t)0x6ac115e2, (q31_t)0xb960a64c, (q31_t)0x6abd9e49, (q31_t)0xb95b68de, (q31_t)0x6aba266e, (q31_t)0xb9562b9c, + (q31_t)0x6ab6ae52, (q31_t)0xb950ee86, + (q31_t)0x6ab335f4, (q31_t)0xb94bb19b, (q31_t)0x6aafbd54, (q31_t)0xb94674dc, (q31_t)0x6aac4472, (q31_t)0xb9413848, + (q31_t)0x6aa8cb4e, (q31_t)0xb93bfbe0, + (q31_t)0x6aa551e9, (q31_t)0xb936bfa4, (q31_t)0x6aa1d841, (q31_t)0xb9318393, (q31_t)0x6a9e5e58, (q31_t)0xb92c47ae, + (q31_t)0x6a9ae42e, (q31_t)0xb9270bf5, + (q31_t)0x6a9769c1, (q31_t)0xb921d067, (q31_t)0x6a93ef13, (q31_t)0xb91c9505, (q31_t)0x6a907423, (q31_t)0xb91759cf, + (q31_t)0x6a8cf8f1, (q31_t)0xb9121ec5, + (q31_t)0x6a897d7d, (q31_t)0xb90ce3e6, (q31_t)0x6a8601c8, (q31_t)0xb907a933, (q31_t)0x6a8285d1, (q31_t)0xb9026eac, + (q31_t)0x6a7f0999, (q31_t)0xb8fd3451, + (q31_t)0x6a7b8d1e, (q31_t)0xb8f7fa21, (q31_t)0x6a781062, (q31_t)0xb8f2c01d, (q31_t)0x6a749365, (q31_t)0xb8ed8646, + (q31_t)0x6a711625, (q31_t)0xb8e84c99, + (q31_t)0x6a6d98a4, (q31_t)0xb8e31319, (q31_t)0x6a6a1ae2, (q31_t)0xb8ddd9c5, (q31_t)0x6a669cdd, (q31_t)0xb8d8a09d, + (q31_t)0x6a631e97, (q31_t)0xb8d367a0, + (q31_t)0x6a5fa010, (q31_t)0xb8ce2ecf, (q31_t)0x6a5c2147, (q31_t)0xb8c8f62b, (q31_t)0x6a58a23c, (q31_t)0xb8c3bdb2, + (q31_t)0x6a5522ef, (q31_t)0xb8be8565, + (q31_t)0x6a51a361, (q31_t)0xb8b94d44, (q31_t)0x6a4e2392, (q31_t)0xb8b4154f, (q31_t)0x6a4aa381, (q31_t)0xb8aedd86, + (q31_t)0x6a47232e, (q31_t)0xb8a9a5e9, + (q31_t)0x6a43a29a, (q31_t)0xb8a46e78, (q31_t)0x6a4021c4, (q31_t)0xb89f3733, (q31_t)0x6a3ca0ad, (q31_t)0xb89a001a, + (q31_t)0x6a391f54, (q31_t)0xb894c92d, + (q31_t)0x6a359db9, (q31_t)0xb88f926d, (q31_t)0x6a321bdd, (q31_t)0xb88a5bd8, (q31_t)0x6a2e99c0, (q31_t)0xb885256f, + (q31_t)0x6a2b1761, (q31_t)0xb87fef33, + (q31_t)0x6a2794c1, (q31_t)0xb87ab922, (q31_t)0x6a2411df, (q31_t)0xb875833e, (q31_t)0x6a208ebb, (q31_t)0xb8704d85, + (q31_t)0x6a1d0b57, (q31_t)0xb86b17f9, + (q31_t)0x6a1987b0, (q31_t)0xb865e299, (q31_t)0x6a1603c8, (q31_t)0xb860ad66, (q31_t)0x6a127f9f, (q31_t)0xb85b785e, + (q31_t)0x6a0efb35, (q31_t)0xb8564383, + (q31_t)0x6a0b7689, (q31_t)0xb8510ed4, (q31_t)0x6a07f19b, (q31_t)0xb84bda51, (q31_t)0x6a046c6c, (q31_t)0xb846a5fa, + (q31_t)0x6a00e6fc, (q31_t)0xb84171cf, + (q31_t)0x69fd614a, (q31_t)0xb83c3dd1, (q31_t)0x69f9db57, (q31_t)0xb83709ff, (q31_t)0x69f65523, (q31_t)0xb831d659, + (q31_t)0x69f2cead, (q31_t)0xb82ca2e0, + (q31_t)0x69ef47f6, (q31_t)0xb8276f93, (q31_t)0x69ebc0fe, (q31_t)0xb8223c72, (q31_t)0x69e839c4, (q31_t)0xb81d097e, + (q31_t)0x69e4b249, (q31_t)0xb817d6b6, + (q31_t)0x69e12a8c, (q31_t)0xb812a41a, (q31_t)0x69dda28f, (q31_t)0xb80d71aa, (q31_t)0x69da1a50, (q31_t)0xb8083f67, + (q31_t)0x69d691cf, (q31_t)0xb8030d51, + (q31_t)0x69d3090e, (q31_t)0xb7fddb67, (q31_t)0x69cf800b, (q31_t)0xb7f8a9a9, (q31_t)0x69cbf6c7, (q31_t)0xb7f37818, + (q31_t)0x69c86d41, (q31_t)0xb7ee46b3, + (q31_t)0x69c4e37a, (q31_t)0xb7e9157a, (q31_t)0x69c15973, (q31_t)0xb7e3e46e, (q31_t)0x69bdcf29, (q31_t)0xb7deb38f, + (q31_t)0x69ba449f, (q31_t)0xb7d982dc, + (q31_t)0x69b6b9d3, (q31_t)0xb7d45255, (q31_t)0x69b32ec7, (q31_t)0xb7cf21fb, (q31_t)0x69afa378, (q31_t)0xb7c9f1ce, + (q31_t)0x69ac17e9, (q31_t)0xb7c4c1cd, + (q31_t)0x69a88c19, (q31_t)0xb7bf91f8, (q31_t)0x69a50007, (q31_t)0xb7ba6251, (q31_t)0x69a173b5, (q31_t)0xb7b532d6, + (q31_t)0x699de721, (q31_t)0xb7b00387, + (q31_t)0x699a5a4c, (q31_t)0xb7aad465, (q31_t)0x6996cd35, (q31_t)0xb7a5a570, (q31_t)0x69933fde, (q31_t)0xb7a076a7, + (q31_t)0x698fb246, (q31_t)0xb79b480b, + (q31_t)0x698c246c, (q31_t)0xb796199b, (q31_t)0x69889651, (q31_t)0xb790eb58, (q31_t)0x698507f6, (q31_t)0xb78bbd42, + (q31_t)0x69817959, (q31_t)0xb7868f59, + (q31_t)0x697dea7b, (q31_t)0xb781619c, (q31_t)0x697a5b5c, (q31_t)0xb77c340c, (q31_t)0x6976cbfc, (q31_t)0xb77706a9, + (q31_t)0x69733c5b, (q31_t)0xb771d972, + (q31_t)0x696fac78, (q31_t)0xb76cac69, (q31_t)0x696c1c55, (q31_t)0xb7677f8c, (q31_t)0x69688bf1, (q31_t)0xb76252db, + (q31_t)0x6964fb4c, (q31_t)0xb75d2658, + (q31_t)0x69616a65, (q31_t)0xb757fa01, (q31_t)0x695dd93e, (q31_t)0xb752cdd8, (q31_t)0x695a47d6, (q31_t)0xb74da1db, + (q31_t)0x6956b62d, (q31_t)0xb748760b, + (q31_t)0x69532442, (q31_t)0xb7434a67, (q31_t)0x694f9217, (q31_t)0xb73e1ef1, (q31_t)0x694bffab, (q31_t)0xb738f3a7, + (q31_t)0x69486cfe, (q31_t)0xb733c88b, + (q31_t)0x6944da10, (q31_t)0xb72e9d9b, (q31_t)0x694146e1, (q31_t)0xb72972d8, (q31_t)0x693db371, (q31_t)0xb7244842, + (q31_t)0x693a1fc0, (q31_t)0xb71f1dd9, + (q31_t)0x69368bce, (q31_t)0xb719f39e, (q31_t)0x6932f79b, (q31_t)0xb714c98e, (q31_t)0x692f6328, (q31_t)0xb70f9fac, + (q31_t)0x692bce73, (q31_t)0xb70a75f7, + (q31_t)0x6928397e, (q31_t)0xb7054c6f, (q31_t)0x6924a448, (q31_t)0xb7002314, (q31_t)0x69210ed1, (q31_t)0xb6faf9e6, + (q31_t)0x691d7919, (q31_t)0xb6f5d0e5, + (q31_t)0x6919e320, (q31_t)0xb6f0a812, (q31_t)0x69164ce7, (q31_t)0xb6eb7f6b, (q31_t)0x6912b66c, (q31_t)0xb6e656f1, + (q31_t)0x690f1fb1, (q31_t)0xb6e12ea4, + (q31_t)0x690b88b5, (q31_t)0xb6dc0685, (q31_t)0x6907f178, (q31_t)0xb6d6de92, (q31_t)0x690459fb, (q31_t)0xb6d1b6cd, + (q31_t)0x6900c23c, (q31_t)0xb6cc8f35, + (q31_t)0x68fd2a3d, (q31_t)0xb6c767ca, (q31_t)0x68f991fd, (q31_t)0xb6c2408c, (q31_t)0x68f5f97d, (q31_t)0xb6bd197c, + (q31_t)0x68f260bb, (q31_t)0xb6b7f298, + (q31_t)0x68eec7b9, (q31_t)0xb6b2cbe2, (q31_t)0x68eb2e76, (q31_t)0xb6ada559, (q31_t)0x68e794f3, (q31_t)0xb6a87efd, + (q31_t)0x68e3fb2e, (q31_t)0xb6a358ce, + (q31_t)0x68e06129, (q31_t)0xb69e32cd, (q31_t)0x68dcc6e4, (q31_t)0xb6990cf9, (q31_t)0x68d92c5d, (q31_t)0xb693e752, + (q31_t)0x68d59196, (q31_t)0xb68ec1d9, + (q31_t)0x68d1f68f, (q31_t)0xb6899c8d, (q31_t)0x68ce5b46, (q31_t)0xb684776e, (q31_t)0x68cabfbd, (q31_t)0xb67f527c, + (q31_t)0x68c723f3, (q31_t)0xb67a2db8, + (q31_t)0x68c387e9, (q31_t)0xb6750921, (q31_t)0x68bfeb9e, (q31_t)0xb66fe4b8, (q31_t)0x68bc4f13, (q31_t)0xb66ac07c, + (q31_t)0x68b8b247, (q31_t)0xb6659c6d, + (q31_t)0x68b5153a, (q31_t)0xb660788c, (q31_t)0x68b177ed, (q31_t)0xb65b54d8, (q31_t)0x68adda5f, (q31_t)0xb6563151, + (q31_t)0x68aa3c90, (q31_t)0xb6510df8, + (q31_t)0x68a69e81, (q31_t)0xb64beacd, (q31_t)0x68a30031, (q31_t)0xb646c7ce, (q31_t)0x689f61a1, (q31_t)0xb641a4fe, + (q31_t)0x689bc2d1, (q31_t)0xb63c825b, + (q31_t)0x689823bf, (q31_t)0xb6375fe5, (q31_t)0x6894846e, (q31_t)0xb6323d9d, (q31_t)0x6890e4dc, (q31_t)0xb62d1b82, + (q31_t)0x688d4509, (q31_t)0xb627f995, + (q31_t)0x6889a4f6, (q31_t)0xb622d7d6, (q31_t)0x688604a2, (q31_t)0xb61db644, (q31_t)0x6882640e, (q31_t)0xb61894df, + (q31_t)0x687ec339, (q31_t)0xb61373a9, + (q31_t)0x687b2224, (q31_t)0xb60e529f, (q31_t)0x687780ce, (q31_t)0xb60931c4, (q31_t)0x6873df38, (q31_t)0xb6041116, + (q31_t)0x68703d62, (q31_t)0xb5fef095, + (q31_t)0x686c9b4b, (q31_t)0xb5f9d043, (q31_t)0x6868f8f4, (q31_t)0xb5f4b01e, (q31_t)0x6865565c, (q31_t)0xb5ef9026, + (q31_t)0x6861b384, (q31_t)0xb5ea705d, + (q31_t)0x685e106c, (q31_t)0xb5e550c1, (q31_t)0x685a6d13, (q31_t)0xb5e03153, (q31_t)0x6856c979, (q31_t)0xb5db1212, + (q31_t)0x685325a0, (q31_t)0xb5d5f2ff, + (q31_t)0x684f8186, (q31_t)0xb5d0d41a, (q31_t)0x684bdd2c, (q31_t)0xb5cbb563, (q31_t)0x68483891, (q31_t)0xb5c696da, + (q31_t)0x684493b6, (q31_t)0xb5c1787e, + (q31_t)0x6840ee9b, (q31_t)0xb5bc5a50, (q31_t)0x683d493f, (q31_t)0xb5b73c50, (q31_t)0x6839a3a4, (q31_t)0xb5b21e7e, + (q31_t)0x6835fdc7, (q31_t)0xb5ad00d9, + (q31_t)0x683257ab, (q31_t)0xb5a7e362, (q31_t)0x682eb14e, (q31_t)0xb5a2c61a, (q31_t)0x682b0ab1, (q31_t)0xb59da8ff, + (q31_t)0x682763d4, (q31_t)0xb5988c12, + (q31_t)0x6823bcb7, (q31_t)0xb5936f53, (q31_t)0x68201559, (q31_t)0xb58e52c2, (q31_t)0x681c6dbb, (q31_t)0xb589365e, + (q31_t)0x6818c5dd, (q31_t)0xb5841a29, + (q31_t)0x68151dbe, (q31_t)0xb57efe22, (q31_t)0x68117560, (q31_t)0xb579e248, (q31_t)0x680dccc1, (q31_t)0xb574c69d, + (q31_t)0x680a23e2, (q31_t)0xb56fab1f, + (q31_t)0x68067ac3, (q31_t)0xb56a8fd0, (q31_t)0x6802d164, (q31_t)0xb56574ae, (q31_t)0x67ff27c4, (q31_t)0xb56059bb, + (q31_t)0x67fb7de5, (q31_t)0xb55b3ef5, + (q31_t)0x67f7d3c5, (q31_t)0xb556245e, (q31_t)0x67f42965, (q31_t)0xb55109f5, (q31_t)0x67f07ec5, (q31_t)0xb54befba, + (q31_t)0x67ecd3e5, (q31_t)0xb546d5ac, + (q31_t)0x67e928c5, (q31_t)0xb541bbcd, (q31_t)0x67e57d64, (q31_t)0xb53ca21c, (q31_t)0x67e1d1c4, (q31_t)0xb5378899, + (q31_t)0x67de25e3, (q31_t)0xb5326f45, + (q31_t)0x67da79c3, (q31_t)0xb52d561e, (q31_t)0x67d6cd62, (q31_t)0xb5283d26, (q31_t)0x67d320c1, (q31_t)0xb523245b, + (q31_t)0x67cf73e1, (q31_t)0xb51e0bbf, + (q31_t)0x67cbc6c0, (q31_t)0xb518f351, (q31_t)0x67c8195f, (q31_t)0xb513db12, (q31_t)0x67c46bbe, (q31_t)0xb50ec300, + (q31_t)0x67c0bddd, (q31_t)0xb509ab1d, + (q31_t)0x67bd0fbd, (q31_t)0xb5049368, (q31_t)0x67b9615c, (q31_t)0xb4ff7be1, (q31_t)0x67b5b2bb, (q31_t)0xb4fa6489, + (q31_t)0x67b203da, (q31_t)0xb4f54d5f, + (q31_t)0x67ae54ba, (q31_t)0xb4f03663, (q31_t)0x67aaa559, (q31_t)0xb4eb1f95, (q31_t)0x67a6f5b8, (q31_t)0xb4e608f6, + (q31_t)0x67a345d8, (q31_t)0xb4e0f285, + (q31_t)0x679f95b7, (q31_t)0xb4dbdc42, (q31_t)0x679be557, (q31_t)0xb4d6c62e, (q31_t)0x679834b6, (q31_t)0xb4d1b048, + (q31_t)0x679483d6, (q31_t)0xb4cc9a90, + (q31_t)0x6790d2b6, (q31_t)0xb4c78507, (q31_t)0x678d2156, (q31_t)0xb4c26fad, (q31_t)0x67896fb6, (q31_t)0xb4bd5a80, + (q31_t)0x6785bdd6, (q31_t)0xb4b84582, + (q31_t)0x67820bb7, (q31_t)0xb4b330b3, (q31_t)0x677e5957, (q31_t)0xb4ae1c12, (q31_t)0x677aa6b8, (q31_t)0xb4a9079f, + (q31_t)0x6776f3d9, (q31_t)0xb4a3f35b, + (q31_t)0x677340ba, (q31_t)0xb49edf45, (q31_t)0x676f8d5b, (q31_t)0xb499cb5e, (q31_t)0x676bd9bd, (q31_t)0xb494b7a6, + (q31_t)0x676825de, (q31_t)0xb48fa41c, + (q31_t)0x676471c0, (q31_t)0xb48a90c0, (q31_t)0x6760bd62, (q31_t)0xb4857d93, (q31_t)0x675d08c4, (q31_t)0xb4806a95, + (q31_t)0x675953e7, (q31_t)0xb47b57c5, + (q31_t)0x67559eca, (q31_t)0xb4764523, (q31_t)0x6751e96d, (q31_t)0xb47132b1, (q31_t)0x674e33d0, (q31_t)0xb46c206d, + (q31_t)0x674a7df4, (q31_t)0xb4670e57, + (q31_t)0x6746c7d8, (q31_t)0xb461fc70, (q31_t)0x6743117c, (q31_t)0xb45ceab8, (q31_t)0x673f5ae0, (q31_t)0xb457d92f, + (q31_t)0x673ba405, (q31_t)0xb452c7d4, + (q31_t)0x6737ecea, (q31_t)0xb44db6a8, (q31_t)0x67343590, (q31_t)0xb448a5aa, (q31_t)0x67307df5, (q31_t)0xb44394db, + (q31_t)0x672cc61c, (q31_t)0xb43e843b, + (q31_t)0x67290e02, (q31_t)0xb43973ca, (q31_t)0x672555a9, (q31_t)0xb4346387, (q31_t)0x67219d10, (q31_t)0xb42f5373, + (q31_t)0x671de438, (q31_t)0xb42a438e, + (q31_t)0x671a2b20, (q31_t)0xb42533d8, (q31_t)0x671671c8, (q31_t)0xb4202451, (q31_t)0x6712b831, (q31_t)0xb41b14f8, + (q31_t)0x670efe5a, (q31_t)0xb41605ce, + (q31_t)0x670b4444, (q31_t)0xb410f6d3, (q31_t)0x670789ee, (q31_t)0xb40be807, (q31_t)0x6703cf58, (q31_t)0xb406d969, + (q31_t)0x67001483, (q31_t)0xb401cafb, + (q31_t)0x66fc596f, (q31_t)0xb3fcbcbb, (q31_t)0x66f89e1b, (q31_t)0xb3f7aeaa, (q31_t)0x66f4e287, (q31_t)0xb3f2a0c9, + (q31_t)0x66f126b4, (q31_t)0xb3ed9316, + (q31_t)0x66ed6aa1, (q31_t)0xb3e88592, (q31_t)0x66e9ae4f, (q31_t)0xb3e3783d, (q31_t)0x66e5f1be, (q31_t)0xb3de6b17, + (q31_t)0x66e234ed, (q31_t)0xb3d95e1f, + (q31_t)0x66de77dc, (q31_t)0xb3d45157, (q31_t)0x66daba8c, (q31_t)0xb3cf44be, (q31_t)0x66d6fcfd, (q31_t)0xb3ca3854, + (q31_t)0x66d33f2e, (q31_t)0xb3c52c19, + (q31_t)0x66cf8120, (q31_t)0xb3c0200c, (q31_t)0x66cbc2d2, (q31_t)0xb3bb142f, (q31_t)0x66c80445, (q31_t)0xb3b60881, + (q31_t)0x66c44579, (q31_t)0xb3b0fd02, + (q31_t)0x66c0866d, (q31_t)0xb3abf1b2, (q31_t)0x66bcc721, (q31_t)0xb3a6e691, (q31_t)0x66b90797, (q31_t)0xb3a1dba0, + (q31_t)0x66b547cd, (q31_t)0xb39cd0dd, + (q31_t)0x66b187c3, (q31_t)0xb397c649, (q31_t)0x66adc77b, (q31_t)0xb392bbe5, (q31_t)0x66aa06f3, (q31_t)0xb38db1b0, + (q31_t)0x66a6462b, (q31_t)0xb388a7aa, + (q31_t)0x66a28524, (q31_t)0xb3839dd3, (q31_t)0x669ec3de, (q31_t)0xb37e942b, (q31_t)0x669b0259, (q31_t)0xb3798ab2, + (q31_t)0x66974095, (q31_t)0xb3748169, + (q31_t)0x66937e91, (q31_t)0xb36f784f, (q31_t)0x668fbc4e, (q31_t)0xb36a6f64, (q31_t)0x668bf9cb, (q31_t)0xb36566a8, + (q31_t)0x66883709, (q31_t)0xb3605e1c, + (q31_t)0x66847408, (q31_t)0xb35b55bf, (q31_t)0x6680b0c8, (q31_t)0xb3564d91, (q31_t)0x667ced49, (q31_t)0xb3514592, + (q31_t)0x6679298a, (q31_t)0xb34c3dc3, + (q31_t)0x6675658c, (q31_t)0xb3473623, (q31_t)0x6671a14f, (q31_t)0xb3422eb2, (q31_t)0x666ddcd3, (q31_t)0xb33d2771, + (q31_t)0x666a1818, (q31_t)0xb338205f, + (q31_t)0x6666531d, (q31_t)0xb333197c, (q31_t)0x66628de4, (q31_t)0xb32e12c9, (q31_t)0x665ec86b, (q31_t)0xb3290c45, + (q31_t)0x665b02b3, (q31_t)0xb32405f1, + (q31_t)0x66573cbb, (q31_t)0xb31effcc, (q31_t)0x66537685, (q31_t)0xb319f9d6, (q31_t)0x664fb010, (q31_t)0xb314f410, + (q31_t)0x664be95b, (q31_t)0xb30fee79, + (q31_t)0x66482267, (q31_t)0xb30ae912, (q31_t)0x66445b35, (q31_t)0xb305e3da, (q31_t)0x664093c3, (q31_t)0xb300ded2, + (q31_t)0x663ccc12, (q31_t)0xb2fbd9f9, + (q31_t)0x66390422, (q31_t)0xb2f6d550, (q31_t)0x66353bf3, (q31_t)0xb2f1d0d6, (q31_t)0x66317385, (q31_t)0xb2eccc8c, + (q31_t)0x662daad8, (q31_t)0xb2e7c871, + (q31_t)0x6629e1ec, (q31_t)0xb2e2c486, (q31_t)0x662618c1, (q31_t)0xb2ddc0ca, (q31_t)0x66224f56, (q31_t)0xb2d8bd3e, + (q31_t)0x661e85ad, (q31_t)0xb2d3b9e2, + (q31_t)0x661abbc5, (q31_t)0xb2ceb6b5, (q31_t)0x6616f19e, (q31_t)0xb2c9b3b8, (q31_t)0x66132738, (q31_t)0xb2c4b0ea, + (q31_t)0x660f5c93, (q31_t)0xb2bfae4c, + (q31_t)0x660b91af, (q31_t)0xb2baabde, (q31_t)0x6607c68c, (q31_t)0xb2b5a99f, (q31_t)0x6603fb2a, (q31_t)0xb2b0a790, + (q31_t)0x66002f89, (q31_t)0xb2aba5b1, + (q31_t)0x65fc63a9, (q31_t)0xb2a6a402, (q31_t)0x65f8978b, (q31_t)0xb2a1a282, (q31_t)0x65f4cb2d, (q31_t)0xb29ca132, + (q31_t)0x65f0fe91, (q31_t)0xb297a011, + (q31_t)0x65ed31b5, (q31_t)0xb2929f21, (q31_t)0x65e9649b, (q31_t)0xb28d9e60, (q31_t)0x65e59742, (q31_t)0xb2889dcf, + (q31_t)0x65e1c9aa, (q31_t)0xb2839d6d, + (q31_t)0x65ddfbd3, (q31_t)0xb27e9d3c, (q31_t)0x65da2dbd, (q31_t)0xb2799d3a, (q31_t)0x65d65f69, (q31_t)0xb2749d68, + (q31_t)0x65d290d6, (q31_t)0xb26f9dc6, + (q31_t)0x65cec204, (q31_t)0xb26a9e54, (q31_t)0x65caf2f3, (q31_t)0xb2659f12, (q31_t)0x65c723a3, (q31_t)0xb2609fff, + (q31_t)0x65c35415, (q31_t)0xb25ba11d, + (q31_t)0x65bf8447, (q31_t)0xb256a26a, (q31_t)0x65bbb43b, (q31_t)0xb251a3e7, (q31_t)0x65b7e3f1, (q31_t)0xb24ca594, + (q31_t)0x65b41367, (q31_t)0xb247a771, + (q31_t)0x65b0429f, (q31_t)0xb242a97e, (q31_t)0x65ac7198, (q31_t)0xb23dabbb, (q31_t)0x65a8a052, (q31_t)0xb238ae28, + (q31_t)0x65a4cece, (q31_t)0xb233b0c5, + (q31_t)0x65a0fd0b, (q31_t)0xb22eb392, (q31_t)0x659d2b09, (q31_t)0xb229b68f, (q31_t)0x659958c9, (q31_t)0xb224b9bc, + (q31_t)0x6595864a, (q31_t)0xb21fbd19, + (q31_t)0x6591b38c, (q31_t)0xb21ac0a6, (q31_t)0x658de08f, (q31_t)0xb215c463, (q31_t)0x658a0d54, (q31_t)0xb210c850, + (q31_t)0x658639db, (q31_t)0xb20bcc6d, + (q31_t)0x65826622, (q31_t)0xb206d0ba, (q31_t)0x657e922b, (q31_t)0xb201d537, (q31_t)0x657abdf6, (q31_t)0xb1fcd9e5, + (q31_t)0x6576e982, (q31_t)0xb1f7dec2, + (q31_t)0x657314cf, (q31_t)0xb1f2e3d0, (q31_t)0x656f3fde, (q31_t)0xb1ede90e, (q31_t)0x656b6aae, (q31_t)0xb1e8ee7c, + (q31_t)0x6567953f, (q31_t)0xb1e3f41a, + (q31_t)0x6563bf92, (q31_t)0xb1def9e9, (q31_t)0x655fe9a7, (q31_t)0xb1d9ffe7, (q31_t)0x655c137d, (q31_t)0xb1d50616, + (q31_t)0x65583d14, (q31_t)0xb1d00c75, + (q31_t)0x6554666d, (q31_t)0xb1cb1304, (q31_t)0x65508f87, (q31_t)0xb1c619c3, (q31_t)0x654cb863, (q31_t)0xb1c120b3, + (q31_t)0x6548e101, (q31_t)0xb1bc27d3, + (q31_t)0x6545095f, (q31_t)0xb1b72f23, (q31_t)0x65413180, (q31_t)0xb1b236a4, (q31_t)0x653d5962, (q31_t)0xb1ad3e55, + (q31_t)0x65398105, (q31_t)0xb1a84636, + (q31_t)0x6535a86b, (q31_t)0xb1a34e47, (q31_t)0x6531cf91, (q31_t)0xb19e5689, (q31_t)0x652df679, (q31_t)0xb1995efb, + (q31_t)0x652a1d23, (q31_t)0xb194679e, + (q31_t)0x6526438f, (q31_t)0xb18f7071, (q31_t)0x652269bc, (q31_t)0xb18a7974, (q31_t)0x651e8faa, (q31_t)0xb18582a8, + (q31_t)0x651ab55b, (q31_t)0xb1808c0c, + (q31_t)0x6516dacd, (q31_t)0xb17b95a0, (q31_t)0x65130000, (q31_t)0xb1769f65, (q31_t)0x650f24f5, (q31_t)0xb171a95b, + (q31_t)0x650b49ac, (q31_t)0xb16cb380, + (q31_t)0x65076e25, (q31_t)0xb167bdd7, (q31_t)0x6503925f, (q31_t)0xb162c85d, (q31_t)0x64ffb65b, (q31_t)0xb15dd315, + (q31_t)0x64fbda18, (q31_t)0xb158ddfd, + (q31_t)0x64f7fd98, (q31_t)0xb153e915, (q31_t)0x64f420d9, (q31_t)0xb14ef45e, (q31_t)0x64f043dc, (q31_t)0xb149ffd7, + (q31_t)0x64ec66a0, (q31_t)0xb1450b81, + (q31_t)0x64e88926, (q31_t)0xb140175b, (q31_t)0x64e4ab6e, (q31_t)0xb13b2367, (q31_t)0x64e0cd78, (q31_t)0xb1362fa2, + (q31_t)0x64dcef44, (q31_t)0xb1313c0e, + (q31_t)0x64d910d1, (q31_t)0xb12c48ab, (q31_t)0x64d53220, (q31_t)0xb1275579, (q31_t)0x64d15331, (q31_t)0xb1226277, + (q31_t)0x64cd7404, (q31_t)0xb11d6fa6, + (q31_t)0x64c99498, (q31_t)0xb1187d05, (q31_t)0x64c5b4ef, (q31_t)0xb1138a95, (q31_t)0x64c1d507, (q31_t)0xb10e9856, + (q31_t)0x64bdf4e1, (q31_t)0xb109a648, + (q31_t)0x64ba147d, (q31_t)0xb104b46a, (q31_t)0x64b633da, (q31_t)0xb0ffc2bd, (q31_t)0x64b252fa, (q31_t)0xb0fad140, + (q31_t)0x64ae71dc, (q31_t)0xb0f5dff5, + (q31_t)0x64aa907f, (q31_t)0xb0f0eeda, (q31_t)0x64a6aee4, (q31_t)0xb0ebfdf0, (q31_t)0x64a2cd0c, (q31_t)0xb0e70d37, + (q31_t)0x649eeaf5, (q31_t)0xb0e21cae, + (q31_t)0x649b08a0, (q31_t)0xb0dd2c56, (q31_t)0x6497260d, (q31_t)0xb0d83c2f, (q31_t)0x6493433c, (q31_t)0xb0d34c39, + (q31_t)0x648f602d, (q31_t)0xb0ce5c74, + (q31_t)0x648b7ce0, (q31_t)0xb0c96ce0, (q31_t)0x64879955, (q31_t)0xb0c47d7c, (q31_t)0x6483b58c, (q31_t)0xb0bf8e4a, + (q31_t)0x647fd185, (q31_t)0xb0ba9f48, + (q31_t)0x647bed3f, (q31_t)0xb0b5b077, (q31_t)0x647808bc, (q31_t)0xb0b0c1d7, (q31_t)0x647423fb, (q31_t)0xb0abd368, + (q31_t)0x64703efc, (q31_t)0xb0a6e52a, + (q31_t)0x646c59bf, (q31_t)0xb0a1f71d, (q31_t)0x64687444, (q31_t)0xb09d0941, (q31_t)0x64648e8c, (q31_t)0xb0981b96, + (q31_t)0x6460a895, (q31_t)0xb0932e1b, + (q31_t)0x645cc260, (q31_t)0xb08e40d2, (q31_t)0x6458dbed, (q31_t)0xb08953ba, (q31_t)0x6454f53d, (q31_t)0xb08466d3, + (q31_t)0x64510e4e, (q31_t)0xb07f7a1c, + (q31_t)0x644d2722, (q31_t)0xb07a8d97, (q31_t)0x64493fb8, (q31_t)0xb075a143, (q31_t)0x64455810, (q31_t)0xb070b520, + (q31_t)0x6441702a, (q31_t)0xb06bc92e, + (q31_t)0x643d8806, (q31_t)0xb066dd6d, (q31_t)0x64399fa5, (q31_t)0xb061f1de, (q31_t)0x6435b706, (q31_t)0xb05d067f, + (q31_t)0x6431ce28, (q31_t)0xb0581b51, + (q31_t)0x642de50d, (q31_t)0xb0533055, (q31_t)0x6429fbb5, (q31_t)0xb04e458a, (q31_t)0x6426121e, (q31_t)0xb0495af0, + (q31_t)0x6422284a, (q31_t)0xb0447087, + (q31_t)0x641e3e38, (q31_t)0xb03f864f, (q31_t)0x641a53e8, (q31_t)0xb03a9c49, (q31_t)0x6416695a, (q31_t)0xb035b273, + (q31_t)0x64127e8f, (q31_t)0xb030c8cf, + (q31_t)0x640e9386, (q31_t)0xb02bdf5c, (q31_t)0x640aa83f, (q31_t)0xb026f61b, (q31_t)0x6406bcba, (q31_t)0xb0220d0a, + (q31_t)0x6402d0f8, (q31_t)0xb01d242b, + (q31_t)0x63fee4f8, (q31_t)0xb0183b7d, (q31_t)0x63faf8bb, (q31_t)0xb0135301, (q31_t)0x63f70c3f, (q31_t)0xb00e6ab5, + (q31_t)0x63f31f86, (q31_t)0xb009829c, + (q31_t)0x63ef3290, (q31_t)0xb0049ab3, (q31_t)0x63eb455c, (q31_t)0xafffb2fc, (q31_t)0x63e757ea, (q31_t)0xaffacb76, + (q31_t)0x63e36a3a, (q31_t)0xaff5e421, + (q31_t)0x63df7c4d, (q31_t)0xaff0fcfe, (q31_t)0x63db8e22, (q31_t)0xafec160c, (q31_t)0x63d79fba, (q31_t)0xafe72f4c, + (q31_t)0x63d3b114, (q31_t)0xafe248bd, + (q31_t)0x63cfc231, (q31_t)0xafdd625f, (q31_t)0x63cbd310, (q31_t)0xafd87c33, (q31_t)0x63c7e3b1, (q31_t)0xafd39638, + (q31_t)0x63c3f415, (q31_t)0xafceb06f, + (q31_t)0x63c0043b, (q31_t)0xafc9cad7, (q31_t)0x63bc1424, (q31_t)0xafc4e571, (q31_t)0x63b823cf, (q31_t)0xafc0003c, + (q31_t)0x63b4333d, (q31_t)0xafbb1b39, + (q31_t)0x63b0426d, (q31_t)0xafb63667, (q31_t)0x63ac5160, (q31_t)0xafb151c7, (q31_t)0x63a86015, (q31_t)0xafac6d58, + (q31_t)0x63a46e8d, (q31_t)0xafa7891b, + (q31_t)0x63a07cc7, (q31_t)0xafa2a50f, (q31_t)0x639c8ac4, (q31_t)0xaf9dc135, (q31_t)0x63989884, (q31_t)0xaf98dd8d, + (q31_t)0x6394a606, (q31_t)0xaf93fa16, + (q31_t)0x6390b34a, (q31_t)0xaf8f16d1, (q31_t)0x638cc051, (q31_t)0xaf8a33bd, (q31_t)0x6388cd1b, (q31_t)0xaf8550db, + (q31_t)0x6384d9a7, (q31_t)0xaf806e2b, + (q31_t)0x6380e5f6, (q31_t)0xaf7b8bac, (q31_t)0x637cf208, (q31_t)0xaf76a95f, (q31_t)0x6378fddc, (q31_t)0xaf71c743, + (q31_t)0x63750973, (q31_t)0xaf6ce55a, + (q31_t)0x637114cc, (q31_t)0xaf6803a2, (q31_t)0x636d1fe9, (q31_t)0xaf63221c, (q31_t)0x63692ac7, (q31_t)0xaf5e40c7, + (q31_t)0x63653569, (q31_t)0xaf595fa4, + (q31_t)0x63613fcd, (q31_t)0xaf547eb3, (q31_t)0x635d49f4, (q31_t)0xaf4f9df4, (q31_t)0x635953dd, (q31_t)0xaf4abd66, + (q31_t)0x63555d8a, (q31_t)0xaf45dd0b, + (q31_t)0x635166f9, (q31_t)0xaf40fce1, (q31_t)0x634d702b, (q31_t)0xaf3c1ce9, (q31_t)0x6349791f, (q31_t)0xaf373d22, + (q31_t)0x634581d6, (q31_t)0xaf325d8e, + (q31_t)0x63418a50, (q31_t)0xaf2d7e2b, (q31_t)0x633d928d, (q31_t)0xaf289efa, (q31_t)0x63399a8d, (q31_t)0xaf23bffb, + (q31_t)0x6335a24f, (q31_t)0xaf1ee12e, + (q31_t)0x6331a9d4, (q31_t)0xaf1a0293, (q31_t)0x632db11c, (q31_t)0xaf15242a, (q31_t)0x6329b827, (q31_t)0xaf1045f3, + (q31_t)0x6325bef5, (q31_t)0xaf0b67ed, + (q31_t)0x6321c585, (q31_t)0xaf068a1a, (q31_t)0x631dcbd9, (q31_t)0xaf01ac78, (q31_t)0x6319d1ef, (q31_t)0xaefccf09, + (q31_t)0x6315d7c8, (q31_t)0xaef7f1cb, + (q31_t)0x6311dd64, (q31_t)0xaef314c0, (q31_t)0x630de2c3, (q31_t)0xaeee37e6, (q31_t)0x6309e7e4, (q31_t)0xaee95b3f, + (q31_t)0x6305ecc9, (q31_t)0xaee47ec9, + (q31_t)0x6301f171, (q31_t)0xaedfa285, (q31_t)0x62fdf5db, (q31_t)0xaedac674, (q31_t)0x62f9fa09, (q31_t)0xaed5ea95, + (q31_t)0x62f5fdf9, (q31_t)0xaed10ee7, + (q31_t)0x62f201ac, (q31_t)0xaecc336c, (q31_t)0x62ee0523, (q31_t)0xaec75823, (q31_t)0x62ea085c, (q31_t)0xaec27d0c, + (q31_t)0x62e60b58, (q31_t)0xaebda227, + (q31_t)0x62e20e17, (q31_t)0xaeb8c774, (q31_t)0x62de109a, (q31_t)0xaeb3ecf3, (q31_t)0x62da12df, (q31_t)0xaeaf12a4, + (q31_t)0x62d614e7, (q31_t)0xaeaa3888, + (q31_t)0x62d216b3, (q31_t)0xaea55e9e, (q31_t)0x62ce1841, (q31_t)0xaea084e6, (q31_t)0x62ca1992, (q31_t)0xae9bab60, + (q31_t)0x62c61aa7, (q31_t)0xae96d20c, + (q31_t)0x62c21b7e, (q31_t)0xae91f8eb, (q31_t)0x62be1c19, (q31_t)0xae8d1ffb, (q31_t)0x62ba1c77, (q31_t)0xae88473e, + (q31_t)0x62b61c98, (q31_t)0xae836eb4, + (q31_t)0x62b21c7b, (q31_t)0xae7e965b, (q31_t)0x62ae1c23, (q31_t)0xae79be35, (q31_t)0x62aa1b8d, (q31_t)0xae74e641, + (q31_t)0x62a61aba, (q31_t)0xae700e80, + (q31_t)0x62a219aa, (q31_t)0xae6b36f0, (q31_t)0x629e185e, (q31_t)0xae665f93, (q31_t)0x629a16d5, (q31_t)0xae618869, + (q31_t)0x6296150f, (q31_t)0xae5cb171, + (q31_t)0x6292130c, (q31_t)0xae57daab, (q31_t)0x628e10cc, (q31_t)0xae530417, (q31_t)0x628a0e50, (q31_t)0xae4e2db6, + (q31_t)0x62860b97, (q31_t)0xae495787, + (q31_t)0x628208a1, (q31_t)0xae44818b, (q31_t)0x627e056e, (q31_t)0xae3fabc1, (q31_t)0x627a01fe, (q31_t)0xae3ad629, + (q31_t)0x6275fe52, (q31_t)0xae3600c4, + (q31_t)0x6271fa69, (q31_t)0xae312b92, (q31_t)0x626df643, (q31_t)0xae2c5691, (q31_t)0x6269f1e1, (q31_t)0xae2781c4, + (q31_t)0x6265ed42, (q31_t)0xae22ad29, + (q31_t)0x6261e866, (q31_t)0xae1dd8c0, (q31_t)0x625de34e, (q31_t)0xae19048a, (q31_t)0x6259ddf8, (q31_t)0xae143086, + (q31_t)0x6255d866, (q31_t)0xae0f5cb5, + (q31_t)0x6251d298, (q31_t)0xae0a8916, (q31_t)0x624dcc8d, (q31_t)0xae05b5aa, (q31_t)0x6249c645, (q31_t)0xae00e271, + (q31_t)0x6245bfc0, (q31_t)0xadfc0f6a, + (q31_t)0x6241b8ff, (q31_t)0xadf73c96, (q31_t)0x623db202, (q31_t)0xadf269f4, (q31_t)0x6239aac7, (q31_t)0xaded9785, + (q31_t)0x6235a351, (q31_t)0xade8c548, + (q31_t)0x62319b9d, (q31_t)0xade3f33e, (q31_t)0x622d93ad, (q31_t)0xaddf2167, (q31_t)0x62298b81, (q31_t)0xadda4fc3, + (q31_t)0x62258317, (q31_t)0xadd57e51, + (q31_t)0x62217a72, (q31_t)0xadd0ad12, (q31_t)0x621d7190, (q31_t)0xadcbdc05, (q31_t)0x62196871, (q31_t)0xadc70b2c, + (q31_t)0x62155f16, (q31_t)0xadc23a85, + (q31_t)0x6211557e, (q31_t)0xadbd6a10, (q31_t)0x620d4baa, (q31_t)0xadb899cf, (q31_t)0x62094199, (q31_t)0xadb3c9c0, + (q31_t)0x6205374c, (q31_t)0xadaef9e4, + (q31_t)0x62012cc2, (q31_t)0xadaa2a3b, (q31_t)0x61fd21fc, (q31_t)0xada55ac4, (q31_t)0x61f916f9, (q31_t)0xada08b80, + (q31_t)0x61f50bba, (q31_t)0xad9bbc70, + (q31_t)0x61f1003f, (q31_t)0xad96ed92, (q31_t)0x61ecf487, (q31_t)0xad921ee6, (q31_t)0x61e8e893, (q31_t)0xad8d506e, + (q31_t)0x61e4dc62, (q31_t)0xad888229, + (q31_t)0x61e0cff5, (q31_t)0xad83b416, (q31_t)0x61dcc34c, (q31_t)0xad7ee636, (q31_t)0x61d8b666, (q31_t)0xad7a1889, + (q31_t)0x61d4a944, (q31_t)0xad754b0f, + (q31_t)0x61d09be5, (q31_t)0xad707dc8, (q31_t)0x61cc8e4b, (q31_t)0xad6bb0b4, (q31_t)0x61c88074, (q31_t)0xad66e3d3, + (q31_t)0x61c47260, (q31_t)0xad621725, + (q31_t)0x61c06410, (q31_t)0xad5d4aaa, (q31_t)0x61bc5584, (q31_t)0xad587e61, (q31_t)0x61b846bc, (q31_t)0xad53b24c, + (q31_t)0x61b437b7, (q31_t)0xad4ee66a, + (q31_t)0x61b02876, (q31_t)0xad4a1aba, (q31_t)0x61ac18f9, (q31_t)0xad454f3e, (q31_t)0x61a80940, (q31_t)0xad4083f5, + (q31_t)0x61a3f94a, (q31_t)0xad3bb8df, + (q31_t)0x619fe918, (q31_t)0xad36edfc, (q31_t)0x619bd8aa, (q31_t)0xad32234b, (q31_t)0x6197c800, (q31_t)0xad2d58ce, + (q31_t)0x6193b719, (q31_t)0xad288e85, + (q31_t)0x618fa5f7, (q31_t)0xad23c46e, (q31_t)0x618b9498, (q31_t)0xad1efa8a, (q31_t)0x618782fd, (q31_t)0xad1a30d9, + (q31_t)0x61837126, (q31_t)0xad15675c, + (q31_t)0x617f5f12, (q31_t)0xad109e12, (q31_t)0x617b4cc3, (q31_t)0xad0bd4fb, (q31_t)0x61773a37, (q31_t)0xad070c17, + (q31_t)0x61732770, (q31_t)0xad024366, + (q31_t)0x616f146c, (q31_t)0xacfd7ae8, (q31_t)0x616b012c, (q31_t)0xacf8b29e, (q31_t)0x6166edb0, (q31_t)0xacf3ea87, + (q31_t)0x6162d9f8, (q31_t)0xacef22a3, + (q31_t)0x615ec603, (q31_t)0xacea5af2, (q31_t)0x615ab1d3, (q31_t)0xace59375, (q31_t)0x61569d67, (q31_t)0xace0cc2b, + (q31_t)0x615288be, (q31_t)0xacdc0514, + (q31_t)0x614e73da, (q31_t)0xacd73e30, (q31_t)0x614a5eba, (q31_t)0xacd27780, (q31_t)0x6146495d, (q31_t)0xaccdb103, + (q31_t)0x614233c5, (q31_t)0xacc8eab9, + (q31_t)0x613e1df0, (q31_t)0xacc424a3, (q31_t)0x613a07e0, (q31_t)0xacbf5ec0, (q31_t)0x6135f193, (q31_t)0xacba9910, + (q31_t)0x6131db0b, (q31_t)0xacb5d394, + (q31_t)0x612dc447, (q31_t)0xacb10e4b, (q31_t)0x6129ad46, (q31_t)0xacac4935, (q31_t)0x6125960a, (q31_t)0xaca78453, + (q31_t)0x61217e92, (q31_t)0xaca2bfa4, + (q31_t)0x611d66de, (q31_t)0xac9dfb29, (q31_t)0x61194eee, (q31_t)0xac9936e1, (q31_t)0x611536c2, (q31_t)0xac9472cd, + (q31_t)0x61111e5b, (q31_t)0xac8faeec, + (q31_t)0x610d05b7, (q31_t)0xac8aeb3e, (q31_t)0x6108ecd8, (q31_t)0xac8627c4, (q31_t)0x6104d3bc, (q31_t)0xac81647e, + (q31_t)0x6100ba65, (q31_t)0xac7ca16b, + (q31_t)0x60fca0d2, (q31_t)0xac77de8b, (q31_t)0x60f88703, (q31_t)0xac731bdf, (q31_t)0x60f46cf9, (q31_t)0xac6e5967, + (q31_t)0x60f052b2, (q31_t)0xac699722, + (q31_t)0x60ec3830, (q31_t)0xac64d510, (q31_t)0x60e81d72, (q31_t)0xac601333, (q31_t)0x60e40278, (q31_t)0xac5b5189, + (q31_t)0x60dfe743, (q31_t)0xac569012, + (q31_t)0x60dbcbd1, (q31_t)0xac51cecf, (q31_t)0x60d7b024, (q31_t)0xac4d0dc0, (q31_t)0x60d3943b, (q31_t)0xac484ce4, + (q31_t)0x60cf7817, (q31_t)0xac438c3c, + (q31_t)0x60cb5bb7, (q31_t)0xac3ecbc7, (q31_t)0x60c73f1b, (q31_t)0xac3a0b87, (q31_t)0x60c32243, (q31_t)0xac354b7a, + (q31_t)0x60bf0530, (q31_t)0xac308ba0, + (q31_t)0x60bae7e1, (q31_t)0xac2bcbfa, (q31_t)0x60b6ca56, (q31_t)0xac270c88, (q31_t)0x60b2ac8f, (q31_t)0xac224d4a, + (q31_t)0x60ae8e8d, (q31_t)0xac1d8e40, + (q31_t)0x60aa7050, (q31_t)0xac18cf69, (q31_t)0x60a651d7, (q31_t)0xac1410c6, (q31_t)0x60a23322, (q31_t)0xac0f5256, + (q31_t)0x609e1431, (q31_t)0xac0a941b, + (q31_t)0x6099f505, (q31_t)0xac05d613, (q31_t)0x6095d59d, (q31_t)0xac01183f, (q31_t)0x6091b5fa, (q31_t)0xabfc5a9f, + (q31_t)0x608d961b, (q31_t)0xabf79d33, + (q31_t)0x60897601, (q31_t)0xabf2dffb, (q31_t)0x608555ab, (q31_t)0xabee22f6, (q31_t)0x60813519, (q31_t)0xabe96625, + (q31_t)0x607d144c, (q31_t)0xabe4a988, + (q31_t)0x6078f344, (q31_t)0xabdfed1f, (q31_t)0x6074d200, (q31_t)0xabdb30ea, (q31_t)0x6070b080, (q31_t)0xabd674e9, + (q31_t)0x606c8ec5, (q31_t)0xabd1b91c, + (q31_t)0x60686ccf, (q31_t)0xabccfd83, (q31_t)0x60644a9d, (q31_t)0xabc8421d, (q31_t)0x6060282f, (q31_t)0xabc386ec, + (q31_t)0x605c0587, (q31_t)0xabbecbee, + (q31_t)0x6057e2a2, (q31_t)0xabba1125, (q31_t)0x6053bf82, (q31_t)0xabb5568f, (q31_t)0x604f9c27, (q31_t)0xabb09c2e, + (q31_t)0x604b7891, (q31_t)0xababe200, + (q31_t)0x604754bf, (q31_t)0xaba72807, (q31_t)0x604330b1, (q31_t)0xaba26e41, (q31_t)0x603f0c69, (q31_t)0xab9db4b0, + (q31_t)0x603ae7e5, (q31_t)0xab98fb52, + (q31_t)0x6036c325, (q31_t)0xab944229, (q31_t)0x60329e2a, (q31_t)0xab8f8934, (q31_t)0x602e78f4, (q31_t)0xab8ad073, + (q31_t)0x602a5383, (q31_t)0xab8617e6, + (q31_t)0x60262dd6, (q31_t)0xab815f8d, (q31_t)0x602207ee, (q31_t)0xab7ca768, (q31_t)0x601de1ca, (q31_t)0xab77ef77, + (q31_t)0x6019bb6b, (q31_t)0xab7337bb, + (q31_t)0x601594d1, (q31_t)0xab6e8032, (q31_t)0x60116dfc, (q31_t)0xab69c8de, (q31_t)0x600d46ec, (q31_t)0xab6511be, + (q31_t)0x60091fa0, (q31_t)0xab605ad2, + (q31_t)0x6004f819, (q31_t)0xab5ba41a, (q31_t)0x6000d057, (q31_t)0xab56ed97, (q31_t)0x5ffca859, (q31_t)0xab523748, + (q31_t)0x5ff88021, (q31_t)0xab4d812d, + (q31_t)0x5ff457ad, (q31_t)0xab48cb46, (q31_t)0x5ff02efe, (q31_t)0xab441593, (q31_t)0x5fec0613, (q31_t)0xab3f6015, + (q31_t)0x5fe7dcee, (q31_t)0xab3aaacb, + (q31_t)0x5fe3b38d, (q31_t)0xab35f5b5, (q31_t)0x5fdf89f2, (q31_t)0xab3140d4, (q31_t)0x5fdb601b, (q31_t)0xab2c8c27, + (q31_t)0x5fd73609, (q31_t)0xab27d7ae, + (q31_t)0x5fd30bbc, (q31_t)0xab23236a, (q31_t)0x5fcee133, (q31_t)0xab1e6f5a, (q31_t)0x5fcab670, (q31_t)0xab19bb7e, + (q31_t)0x5fc68b72, (q31_t)0xab1507d7, + (q31_t)0x5fc26038, (q31_t)0xab105464, (q31_t)0x5fbe34c4, (q31_t)0xab0ba125, (q31_t)0x5fba0914, (q31_t)0xab06ee1b, + (q31_t)0x5fb5dd29, (q31_t)0xab023b46, + (q31_t)0x5fb1b104, (q31_t)0xaafd88a4, (q31_t)0x5fad84a3, (q31_t)0xaaf8d637, (q31_t)0x5fa95807, (q31_t)0xaaf423ff, + (q31_t)0x5fa52b31, (q31_t)0xaaef71fb, + (q31_t)0x5fa0fe1f, (q31_t)0xaaeac02c, (q31_t)0x5f9cd0d2, (q31_t)0xaae60e91, (q31_t)0x5f98a34a, (q31_t)0xaae15d2a, + (q31_t)0x5f947588, (q31_t)0xaadcabf8, + (q31_t)0x5f90478a, (q31_t)0xaad7fafb, (q31_t)0x5f8c1951, (q31_t)0xaad34a32, (q31_t)0x5f87eade, (q31_t)0xaace999d, + (q31_t)0x5f83bc2f, (q31_t)0xaac9e93e, + (q31_t)0x5f7f8d46, (q31_t)0xaac53912, (q31_t)0x5f7b5e22, (q31_t)0xaac0891c, (q31_t)0x5f772ec2, (q31_t)0xaabbd959, + (q31_t)0x5f72ff28, (q31_t)0xaab729cc, + (q31_t)0x5f6ecf53, (q31_t)0xaab27a73, (q31_t)0x5f6a9f44, (q31_t)0xaaadcb4f, (q31_t)0x5f666ef9, (q31_t)0xaaa91c5f, + (q31_t)0x5f623e73, (q31_t)0xaaa46da4, + (q31_t)0x5f5e0db3, (q31_t)0xaa9fbf1e, (q31_t)0x5f59dcb8, (q31_t)0xaa9b10cc, (q31_t)0x5f55ab82, (q31_t)0xaa9662af, + (q31_t)0x5f517a11, (q31_t)0xaa91b4c7, + (q31_t)0x5f4d4865, (q31_t)0xaa8d0713, (q31_t)0x5f49167f, (q31_t)0xaa885994, (q31_t)0x5f44e45e, (q31_t)0xaa83ac4a, + (q31_t)0x5f40b202, (q31_t)0xaa7eff34, + (q31_t)0x5f3c7f6b, (q31_t)0xaa7a5253, (q31_t)0x5f384c9a, (q31_t)0xaa75a5a8, (q31_t)0x5f34198e, (q31_t)0xaa70f930, + (q31_t)0x5f2fe647, (q31_t)0xaa6c4cee, + (q31_t)0x5f2bb2c5, (q31_t)0xaa67a0e0, (q31_t)0x5f277f09, (q31_t)0xaa62f507, (q31_t)0x5f234b12, (q31_t)0xaa5e4963, + (q31_t)0x5f1f16e0, (q31_t)0xaa599df4, + (q31_t)0x5f1ae274, (q31_t)0xaa54f2ba, (q31_t)0x5f16adcc, (q31_t)0xaa5047b4, (q31_t)0x5f1278eb, (q31_t)0xaa4b9ce3, + (q31_t)0x5f0e43ce, (q31_t)0xaa46f248, + (q31_t)0x5f0a0e77, (q31_t)0xaa4247e1, (q31_t)0x5f05d8e6, (q31_t)0xaa3d9daf, (q31_t)0x5f01a31a, (q31_t)0xaa38f3b1, + (q31_t)0x5efd6d13, (q31_t)0xaa3449e9, + (q31_t)0x5ef936d1, (q31_t)0xaa2fa056, (q31_t)0x5ef50055, (q31_t)0xaa2af6f7, (q31_t)0x5ef0c99f, (q31_t)0xaa264dce, + (q31_t)0x5eec92ae, (q31_t)0xaa21a4d9, + (q31_t)0x5ee85b82, (q31_t)0xaa1cfc1a, (q31_t)0x5ee4241c, (q31_t)0xaa18538f, (q31_t)0x5edfec7b, (q31_t)0xaa13ab3a, + (q31_t)0x5edbb49f, (q31_t)0xaa0f0319, + (q31_t)0x5ed77c8a, (q31_t)0xaa0a5b2e, (q31_t)0x5ed34439, (q31_t)0xaa05b377, (q31_t)0x5ecf0baf, (q31_t)0xaa010bf6, + (q31_t)0x5ecad2e9, (q31_t)0xa9fc64a9, + (q31_t)0x5ec699e9, (q31_t)0xa9f7bd92, (q31_t)0x5ec260af, (q31_t)0xa9f316b0, (q31_t)0x5ebe273b, (q31_t)0xa9ee7002, + (q31_t)0x5eb9ed8b, (q31_t)0xa9e9c98a, + (q31_t)0x5eb5b3a2, (q31_t)0xa9e52347, (q31_t)0x5eb1797e, (q31_t)0xa9e07d39, (q31_t)0x5ead3f1f, (q31_t)0xa9dbd761, + (q31_t)0x5ea90487, (q31_t)0xa9d731bd, + (q31_t)0x5ea4c9b3, (q31_t)0xa9d28c4e, (q31_t)0x5ea08ea6, (q31_t)0xa9cde715, (q31_t)0x5e9c535e, (q31_t)0xa9c94211, + (q31_t)0x5e9817dc, (q31_t)0xa9c49d42, + (q31_t)0x5e93dc1f, (q31_t)0xa9bff8a8, (q31_t)0x5e8fa028, (q31_t)0xa9bb5444, (q31_t)0x5e8b63f7, (q31_t)0xa9b6b014, + (q31_t)0x5e87278b, (q31_t)0xa9b20c1a, + (q31_t)0x5e82eae5, (q31_t)0xa9ad6855, (q31_t)0x5e7eae05, (q31_t)0xa9a8c4c5, (q31_t)0x5e7a70ea, (q31_t)0xa9a4216b, + (q31_t)0x5e763395, (q31_t)0xa99f7e46, + (q31_t)0x5e71f606, (q31_t)0xa99adb56, (q31_t)0x5e6db83d, (q31_t)0xa996389b, (q31_t)0x5e697a39, (q31_t)0xa9919616, + (q31_t)0x5e653bfc, (q31_t)0xa98cf3c6, + (q31_t)0x5e60fd84, (q31_t)0xa98851ac, (q31_t)0x5e5cbed1, (q31_t)0xa983afc6, (q31_t)0x5e587fe5, (q31_t)0xa97f0e16, + (q31_t)0x5e5440be, (q31_t)0xa97a6c9c, + (q31_t)0x5e50015d, (q31_t)0xa975cb57, (q31_t)0x5e4bc1c2, (q31_t)0xa9712a47, (q31_t)0x5e4781ed, (q31_t)0xa96c896c, + (q31_t)0x5e4341de, (q31_t)0xa967e8c7, + (q31_t)0x5e3f0194, (q31_t)0xa9634858, (q31_t)0x5e3ac110, (q31_t)0xa95ea81d, (q31_t)0x5e368053, (q31_t)0xa95a0819, + (q31_t)0x5e323f5b, (q31_t)0xa9556849, + (q31_t)0x5e2dfe29, (q31_t)0xa950c8b0, (q31_t)0x5e29bcbd, (q31_t)0xa94c294b, (q31_t)0x5e257b17, (q31_t)0xa9478a1c, + (q31_t)0x5e213936, (q31_t)0xa942eb23, + (q31_t)0x5e1cf71c, (q31_t)0xa93e4c5f, (q31_t)0x5e18b4c8, (q31_t)0xa939add1, (q31_t)0x5e147239, (q31_t)0xa9350f78, + (q31_t)0x5e102f71, (q31_t)0xa9307155, + (q31_t)0x5e0bec6e, (q31_t)0xa92bd367, (q31_t)0x5e07a932, (q31_t)0xa92735af, (q31_t)0x5e0365bb, (q31_t)0xa922982c, + (q31_t)0x5dff220b, (q31_t)0xa91dfadf, + (q31_t)0x5dfade20, (q31_t)0xa9195dc7, (q31_t)0x5df699fc, (q31_t)0xa914c0e6, (q31_t)0x5df2559e, (q31_t)0xa9102439, + (q31_t)0x5dee1105, (q31_t)0xa90b87c3, + (q31_t)0x5de9cc33, (q31_t)0xa906eb82, (q31_t)0x5de58727, (q31_t)0xa9024f76, (q31_t)0x5de141e1, (q31_t)0xa8fdb3a1, + (q31_t)0x5ddcfc61, (q31_t)0xa8f91801, + (q31_t)0x5dd8b6a7, (q31_t)0xa8f47c97, (q31_t)0x5dd470b3, (q31_t)0xa8efe162, (q31_t)0x5dd02a85, (q31_t)0xa8eb4663, + (q31_t)0x5dcbe41d, (q31_t)0xa8e6ab9a, + (q31_t)0x5dc79d7c, (q31_t)0xa8e21106, (q31_t)0x5dc356a1, (q31_t)0xa8dd76a9, (q31_t)0x5dbf0f8c, (q31_t)0xa8d8dc81, + (q31_t)0x5dbac83d, (q31_t)0xa8d4428f, + (q31_t)0x5db680b4, (q31_t)0xa8cfa8d2, (q31_t)0x5db238f1, (q31_t)0xa8cb0f4b, (q31_t)0x5dadf0f5, (q31_t)0xa8c675fb, + (q31_t)0x5da9a8bf, (q31_t)0xa8c1dce0, + (q31_t)0x5da5604f, (q31_t)0xa8bd43fa, (q31_t)0x5da117a5, (q31_t)0xa8b8ab4b, (q31_t)0x5d9ccec2, (q31_t)0xa8b412d1, + (q31_t)0x5d9885a5, (q31_t)0xa8af7a8e, + (q31_t)0x5d943c4e, (q31_t)0xa8aae280, (q31_t)0x5d8ff2bd, (q31_t)0xa8a64aa8, (q31_t)0x5d8ba8f3, (q31_t)0xa8a1b306, + (q31_t)0x5d875eef, (q31_t)0xa89d1b99, + (q31_t)0x5d8314b1, (q31_t)0xa8988463, (q31_t)0x5d7eca39, (q31_t)0xa893ed63, (q31_t)0x5d7a7f88, (q31_t)0xa88f5698, + (q31_t)0x5d76349d, (q31_t)0xa88ac004, + (q31_t)0x5d71e979, (q31_t)0xa88629a5, (q31_t)0x5d6d9e1b, (q31_t)0xa881937c, (q31_t)0x5d695283, (q31_t)0xa87cfd8a, + (q31_t)0x5d6506b2, (q31_t)0xa87867cd, + (q31_t)0x5d60baa7, (q31_t)0xa873d246, (q31_t)0x5d5c6e62, (q31_t)0xa86f3cf6, (q31_t)0x5d5821e4, (q31_t)0xa86aa7db, + (q31_t)0x5d53d52d, (q31_t)0xa86612f6, + (q31_t)0x5d4f883b, (q31_t)0xa8617e48, (q31_t)0x5d4b3b10, (q31_t)0xa85ce9cf, (q31_t)0x5d46edac, (q31_t)0xa858558d, + (q31_t)0x5d42a00e, (q31_t)0xa853c180, + (q31_t)0x5d3e5237, (q31_t)0xa84f2daa, (q31_t)0x5d3a0426, (q31_t)0xa84a9a0a, (q31_t)0x5d35b5db, (q31_t)0xa84606a0, + (q31_t)0x5d316757, (q31_t)0xa841736c, + (q31_t)0x5d2d189a, (q31_t)0xa83ce06e, (q31_t)0x5d28c9a3, (q31_t)0xa8384da6, (q31_t)0x5d247a72, (q31_t)0xa833bb14, + (q31_t)0x5d202b09, (q31_t)0xa82f28b9, + (q31_t)0x5d1bdb65, (q31_t)0xa82a9693, (q31_t)0x5d178b89, (q31_t)0xa82604a4, (q31_t)0x5d133b72, (q31_t)0xa82172eb, + (q31_t)0x5d0eeb23, (q31_t)0xa81ce169, + (q31_t)0x5d0a9a9a, (q31_t)0xa818501c, (q31_t)0x5d0649d7, (q31_t)0xa813bf06, (q31_t)0x5d01f8dc, (q31_t)0xa80f2e26, + (q31_t)0x5cfda7a7, (q31_t)0xa80a9d7c, + (q31_t)0x5cf95638, (q31_t)0xa8060d08, (q31_t)0x5cf50490, (q31_t)0xa8017ccb, (q31_t)0x5cf0b2af, (q31_t)0xa7fcecc4, + (q31_t)0x5cec6095, (q31_t)0xa7f85cf3, + (q31_t)0x5ce80e41, (q31_t)0xa7f3cd59, (q31_t)0x5ce3bbb4, (q31_t)0xa7ef3df5, (q31_t)0x5cdf68ed, (q31_t)0xa7eaaec7, + (q31_t)0x5cdb15ed, (q31_t)0xa7e61fd0, + (q31_t)0x5cd6c2b5, (q31_t)0xa7e1910f, (q31_t)0x5cd26f42, (q31_t)0xa7dd0284, (q31_t)0x5cce1b97, (q31_t)0xa7d8742f, + (q31_t)0x5cc9c7b2, (q31_t)0xa7d3e611, + (q31_t)0x5cc57394, (q31_t)0xa7cf582a, (q31_t)0x5cc11f3d, (q31_t)0xa7caca79, (q31_t)0x5cbccaac, (q31_t)0xa7c63cfe, + (q31_t)0x5cb875e3, (q31_t)0xa7c1afb9, + (q31_t)0x5cb420e0, (q31_t)0xa7bd22ac, (q31_t)0x5cafcba4, (q31_t)0xa7b895d4, (q31_t)0x5cab762f, (q31_t)0xa7b40933, + (q31_t)0x5ca72080, (q31_t)0xa7af7cc8, + (q31_t)0x5ca2ca99, (q31_t)0xa7aaf094, (q31_t)0x5c9e7478, (q31_t)0xa7a66497, (q31_t)0x5c9a1e1e, (q31_t)0xa7a1d8d0, + (q31_t)0x5c95c78b, (q31_t)0xa79d4d3f, + (q31_t)0x5c9170bf, (q31_t)0xa798c1e5, (q31_t)0x5c8d19ba, (q31_t)0xa79436c1, (q31_t)0x5c88c27c, (q31_t)0xa78fabd4, + (q31_t)0x5c846b05, (q31_t)0xa78b211e, + (q31_t)0x5c801354, (q31_t)0xa786969e, (q31_t)0x5c7bbb6b, (q31_t)0xa7820c55, (q31_t)0x5c776348, (q31_t)0xa77d8242, + (q31_t)0x5c730aed, (q31_t)0xa778f866, + (q31_t)0x5c6eb258, (q31_t)0xa7746ec0, (q31_t)0x5c6a598b, (q31_t)0xa76fe551, (q31_t)0x5c660084, (q31_t)0xa76b5c19, + (q31_t)0x5c61a745, (q31_t)0xa766d317, + (q31_t)0x5c5d4dcc, (q31_t)0xa7624a4d, (q31_t)0x5c58f41a, (q31_t)0xa75dc1b8, (q31_t)0x5c549a30, (q31_t)0xa759395b, + (q31_t)0x5c50400d, (q31_t)0xa754b134, + (q31_t)0x5c4be5b0, (q31_t)0xa7502943, (q31_t)0x5c478b1b, (q31_t)0xa74ba18a, (q31_t)0x5c43304d, (q31_t)0xa7471a07, + (q31_t)0x5c3ed545, (q31_t)0xa74292bb, + (q31_t)0x5c3a7a05, (q31_t)0xa73e0ba5, (q31_t)0x5c361e8c, (q31_t)0xa73984c7, (q31_t)0x5c31c2db, (q31_t)0xa734fe1f, + (q31_t)0x5c2d66f0, (q31_t)0xa73077ae, + (q31_t)0x5c290acc, (q31_t)0xa72bf174, (q31_t)0x5c24ae70, (q31_t)0xa7276b70, (q31_t)0x5c2051db, (q31_t)0xa722e5a3, + (q31_t)0x5c1bf50d, (q31_t)0xa71e600d, + (q31_t)0x5c179806, (q31_t)0xa719daae, (q31_t)0x5c133ac6, (q31_t)0xa7155586, (q31_t)0x5c0edd4e, (q31_t)0xa710d095, + (q31_t)0x5c0a7f9c, (q31_t)0xa70c4bda, + (q31_t)0x5c0621b2, (q31_t)0xa707c757, (q31_t)0x5c01c38f, (q31_t)0xa703430a, (q31_t)0x5bfd6534, (q31_t)0xa6febef4, + (q31_t)0x5bf906a0, (q31_t)0xa6fa3b15, + (q31_t)0x5bf4a7d2, (q31_t)0xa6f5b76d, (q31_t)0x5bf048cd, (q31_t)0xa6f133fc, (q31_t)0x5bebe98e, (q31_t)0xa6ecb0c2, + (q31_t)0x5be78a17, (q31_t)0xa6e82dbe, + (q31_t)0x5be32a67, (q31_t)0xa6e3aaf2, (q31_t)0x5bdeca7f, (q31_t)0xa6df285d, (q31_t)0x5bda6a5d, (q31_t)0xa6daa5fe, + (q31_t)0x5bd60a03, (q31_t)0xa6d623d7, + (q31_t)0x5bd1a971, (q31_t)0xa6d1a1e7, (q31_t)0x5bcd48a6, (q31_t)0xa6cd202d, (q31_t)0x5bc8e7a2, (q31_t)0xa6c89eab, + (q31_t)0x5bc48666, (q31_t)0xa6c41d60, + (q31_t)0x5bc024f0, (q31_t)0xa6bf9c4b, (q31_t)0x5bbbc343, (q31_t)0xa6bb1b6e, (q31_t)0x5bb7615d, (q31_t)0xa6b69ac8, + (q31_t)0x5bb2ff3e, (q31_t)0xa6b21a59, + (q31_t)0x5bae9ce7, (q31_t)0xa6ad9a21, (q31_t)0x5baa3a57, (q31_t)0xa6a91a20, (q31_t)0x5ba5d78e, (q31_t)0xa6a49a56, + (q31_t)0x5ba1748d, (q31_t)0xa6a01ac4, + (q31_t)0x5b9d1154, (q31_t)0xa69b9b68, (q31_t)0x5b98ade2, (q31_t)0xa6971c44, (q31_t)0x5b944a37, (q31_t)0xa6929d57, + (q31_t)0x5b8fe654, (q31_t)0xa68e1ea1, + (q31_t)0x5b8b8239, (q31_t)0xa689a022, (q31_t)0x5b871de5, (q31_t)0xa68521da, (q31_t)0x5b82b958, (q31_t)0xa680a3ca, + (q31_t)0x5b7e5493, (q31_t)0xa67c25f0, + (q31_t)0x5b79ef96, (q31_t)0xa677a84e, (q31_t)0x5b758a60, (q31_t)0xa6732ae3, (q31_t)0x5b7124f2, (q31_t)0xa66eadb0, + (q31_t)0x5b6cbf4c, (q31_t)0xa66a30b3, + (q31_t)0x5b68596d, (q31_t)0xa665b3ee, (q31_t)0x5b63f355, (q31_t)0xa6613760, (q31_t)0x5b5f8d06, (q31_t)0xa65cbb0a, + (q31_t)0x5b5b267e, (q31_t)0xa6583eeb, + (q31_t)0x5b56bfbd, (q31_t)0xa653c303, (q31_t)0x5b5258c4, (q31_t)0xa64f4752, (q31_t)0x5b4df193, (q31_t)0xa64acbd9, + (q31_t)0x5b498a2a, (q31_t)0xa6465097, + (q31_t)0x5b452288, (q31_t)0xa641d58c, (q31_t)0x5b40baae, (q31_t)0xa63d5ab9, (q31_t)0x5b3c529c, (q31_t)0xa638e01d, + (q31_t)0x5b37ea51, (q31_t)0xa63465b9, + (q31_t)0x5b3381ce, (q31_t)0xa62feb8b, (q31_t)0x5b2f1913, (q31_t)0xa62b7196, (q31_t)0x5b2ab020, (q31_t)0xa626f7d7, + (q31_t)0x5b2646f4, (q31_t)0xa6227e50, + (q31_t)0x5b21dd90, (q31_t)0xa61e0501, (q31_t)0x5b1d73f4, (q31_t)0xa6198be9, (q31_t)0x5b190a20, (q31_t)0xa6151308, + (q31_t)0x5b14a014, (q31_t)0xa6109a5f, + (q31_t)0x5b1035cf, (q31_t)0xa60c21ee, (q31_t)0x5b0bcb52, (q31_t)0xa607a9b4, (q31_t)0x5b07609d, (q31_t)0xa60331b1, + (q31_t)0x5b02f5b0, (q31_t)0xa5feb9e6, + (q31_t)0x5afe8a8b, (q31_t)0xa5fa4252, (q31_t)0x5afa1f2e, (q31_t)0xa5f5caf6, (q31_t)0x5af5b398, (q31_t)0xa5f153d2, + (q31_t)0x5af147ca, (q31_t)0xa5ecdce5, + (q31_t)0x5aecdbc5, (q31_t)0xa5e8662f, (q31_t)0x5ae86f87, (q31_t)0xa5e3efb1, (q31_t)0x5ae40311, (q31_t)0xa5df796b, + (q31_t)0x5adf9663, (q31_t)0xa5db035c, + (q31_t)0x5adb297d, (q31_t)0xa5d68d85, (q31_t)0x5ad6bc5f, (q31_t)0xa5d217e6, (q31_t)0x5ad24f09, (q31_t)0xa5cda27e, + (q31_t)0x5acde17b, (q31_t)0xa5c92d4e, + (q31_t)0x5ac973b5, (q31_t)0xa5c4b855, (q31_t)0x5ac505b7, (q31_t)0xa5c04395, (q31_t)0x5ac09781, (q31_t)0xa5bbcf0b, + (q31_t)0x5abc2912, (q31_t)0xa5b75aba, + (q31_t)0x5ab7ba6c, (q31_t)0xa5b2e6a0, (q31_t)0x5ab34b8e, (q31_t)0xa5ae72be, (q31_t)0x5aaedc78, (q31_t)0xa5a9ff14, + (q31_t)0x5aaa6d2b, (q31_t)0xa5a58ba1, + (q31_t)0x5aa5fda5, (q31_t)0xa5a11866, (q31_t)0x5aa18de7, (q31_t)0xa59ca563, (q31_t)0x5a9d1df1, (q31_t)0xa5983297, + (q31_t)0x5a98adc4, (q31_t)0xa593c004, + (q31_t)0x5a943d5e, (q31_t)0xa58f4da8, (q31_t)0x5a8fccc1, (q31_t)0xa58adb84, (q31_t)0x5a8b5bec, (q31_t)0xa5866997, + (q31_t)0x5a86eadf, (q31_t)0xa581f7e3, + (q31_t)0x5a82799a, (q31_t)0xa57d8666, (q31_t)0x5a7e081d, (q31_t)0xa5791521, (q31_t)0x5a799669, (q31_t)0xa574a414, + (q31_t)0x5a75247c, (q31_t)0xa570333f, + (q31_t)0x5a70b258, (q31_t)0xa56bc2a2, (q31_t)0x5a6c3ffc, (q31_t)0xa567523c, (q31_t)0x5a67cd69, (q31_t)0xa562e20f, + (q31_t)0x5a635a9d, (q31_t)0xa55e7219, + (q31_t)0x5a5ee79a, (q31_t)0xa55a025b, (q31_t)0x5a5a745f, (q31_t)0xa55592d5, (q31_t)0x5a5600ec, (q31_t)0xa5512388, + (q31_t)0x5a518d42, (q31_t)0xa54cb472, + (q31_t)0x5a4d1960, (q31_t)0xa5484594, (q31_t)0x5a48a546, (q31_t)0xa543d6ee, (q31_t)0x5a4430f5, (q31_t)0xa53f687f, + (q31_t)0x5a3fbc6b, (q31_t)0xa53afa49, + (q31_t)0x5a3b47ab, (q31_t)0xa5368c4b, (q31_t)0x5a36d2b2, (q31_t)0xa5321e85, (q31_t)0x5a325d82, (q31_t)0xa52db0f7, + (q31_t)0x5a2de81a, (q31_t)0xa52943a1, + (q31_t)0x5a29727b, (q31_t)0xa524d683, (q31_t)0x5a24fca4, (q31_t)0xa520699d, (q31_t)0x5a208695, (q31_t)0xa51bfcef, + (q31_t)0x5a1c104f, (q31_t)0xa5179079, + (q31_t)0x5a1799d1, (q31_t)0xa513243b, (q31_t)0x5a13231b, (q31_t)0xa50eb836, (q31_t)0x5a0eac2e, (q31_t)0xa50a4c68, + (q31_t)0x5a0a350a, (q31_t)0xa505e0d2, + (q31_t)0x5a05bdae, (q31_t)0xa5017575, (q31_t)0x5a01461a, (q31_t)0xa4fd0a50, (q31_t)0x59fcce4f, (q31_t)0xa4f89f63, + (q31_t)0x59f8564c, (q31_t)0xa4f434ae, + (q31_t)0x59f3de12, (q31_t)0xa4efca31, (q31_t)0x59ef65a1, (q31_t)0xa4eb5fec, (q31_t)0x59eaecf8, (q31_t)0xa4e6f5e0, + (q31_t)0x59e67417, (q31_t)0xa4e28c0c, + (q31_t)0x59e1faff, (q31_t)0xa4de2270, (q31_t)0x59dd81b0, (q31_t)0xa4d9b90c, (q31_t)0x59d90829, (q31_t)0xa4d54fe0, + (q31_t)0x59d48e6a, (q31_t)0xa4d0e6ed, + (q31_t)0x59d01475, (q31_t)0xa4cc7e32, (q31_t)0x59cb9a47, (q31_t)0xa4c815af, (q31_t)0x59c71fe3, (q31_t)0xa4c3ad64, + (q31_t)0x59c2a547, (q31_t)0xa4bf4552, + (q31_t)0x59be2a74, (q31_t)0xa4badd78, (q31_t)0x59b9af69, (q31_t)0xa4b675d6, (q31_t)0x59b53427, (q31_t)0xa4b20e6d, + (q31_t)0x59b0b8ae, (q31_t)0xa4ada73c, + (q31_t)0x59ac3cfd, (q31_t)0xa4a94043, (q31_t)0x59a7c115, (q31_t)0xa4a4d982, (q31_t)0x59a344f6, (q31_t)0xa4a072fa, + (q31_t)0x599ec8a0, (q31_t)0xa49c0cab, + (q31_t)0x599a4c12, (q31_t)0xa497a693, (q31_t)0x5995cf4d, (q31_t)0xa49340b4, (q31_t)0x59915250, (q31_t)0xa48edb0e, + (q31_t)0x598cd51d, (q31_t)0xa48a75a0, + (q31_t)0x598857b2, (q31_t)0xa486106a, (q31_t)0x5983da10, (q31_t)0xa481ab6d, (q31_t)0x597f5c36, (q31_t)0xa47d46a8, + (q31_t)0x597ade26, (q31_t)0xa478e21b, + (q31_t)0x59765fde, (q31_t)0xa4747dc7, (q31_t)0x5971e15f, (q31_t)0xa47019ac, (q31_t)0x596d62a9, (q31_t)0xa46bb5c9, + (q31_t)0x5968e3bc, (q31_t)0xa467521e, + (q31_t)0x59646498, (q31_t)0xa462eeac, (q31_t)0x595fe53c, (q31_t)0xa45e8b73, (q31_t)0x595b65aa, (q31_t)0xa45a2872, + (q31_t)0x5956e5e0, (q31_t)0xa455c5a9, + (q31_t)0x595265df, (q31_t)0xa4516319, (q31_t)0x594de5a7, (q31_t)0xa44d00c2, (q31_t)0x59496538, (q31_t)0xa4489ea3, + (q31_t)0x5944e492, (q31_t)0xa4443cbd, + (q31_t)0x594063b5, (q31_t)0xa43fdb10, (q31_t)0x593be2a0, (q31_t)0xa43b799a, (q31_t)0x59376155, (q31_t)0xa437185e, + (q31_t)0x5932dfd3, (q31_t)0xa432b75a, + (q31_t)0x592e5e19, (q31_t)0xa42e568f, (q31_t)0x5929dc29, (q31_t)0xa429f5fd, (q31_t)0x59255a02, (q31_t)0xa42595a3, + (q31_t)0x5920d7a3, (q31_t)0xa4213581, + (q31_t)0x591c550e, (q31_t)0xa41cd599, (q31_t)0x5917d242, (q31_t)0xa41875e9, (q31_t)0x59134f3e, (q31_t)0xa4141672, + (q31_t)0x590ecc04, (q31_t)0xa40fb733, + (q31_t)0x590a4893, (q31_t)0xa40b582e, (q31_t)0x5905c4eb, (q31_t)0xa406f960, (q31_t)0x5901410c, (q31_t)0xa4029acc, + (q31_t)0x58fcbcf6, (q31_t)0xa3fe3c71, + (q31_t)0x58f838a9, (q31_t)0xa3f9de4e, (q31_t)0x58f3b426, (q31_t)0xa3f58064, (q31_t)0x58ef2f6b, (q31_t)0xa3f122b2, + (q31_t)0x58eaaa7a, (q31_t)0xa3ecc53a, + (q31_t)0x58e62552, (q31_t)0xa3e867fa, (q31_t)0x58e19ff3, (q31_t)0xa3e40af3, (q31_t)0x58dd1a5d, (q31_t)0xa3dfae25, + (q31_t)0x58d89490, (q31_t)0xa3db5190, + (q31_t)0x58d40e8c, (q31_t)0xa3d6f534, (q31_t)0x58cf8852, (q31_t)0xa3d29910, (q31_t)0x58cb01e1, (q31_t)0xa3ce3d25, + (q31_t)0x58c67b39, (q31_t)0xa3c9e174, + (q31_t)0x58c1f45b, (q31_t)0xa3c585fb, (q31_t)0x58bd6d45, (q31_t)0xa3c12abb, (q31_t)0x58b8e5f9, (q31_t)0xa3bccfb3, + (q31_t)0x58b45e76, (q31_t)0xa3b874e5, + (q31_t)0x58afd6bd, (q31_t)0xa3b41a50, (q31_t)0x58ab4ecc, (q31_t)0xa3afbff3, (q31_t)0x58a6c6a5, (q31_t)0xa3ab65d0, + (q31_t)0x58a23e48, (q31_t)0xa3a70be6, + (q31_t)0x589db5b3, (q31_t)0xa3a2b234, (q31_t)0x58992ce9, (q31_t)0xa39e58bb, (q31_t)0x5894a3e7, (q31_t)0xa399ff7c, + (q31_t)0x58901aaf, (q31_t)0xa395a675, + (q31_t)0x588b9140, (q31_t)0xa3914da8, (q31_t)0x5887079a, (q31_t)0xa38cf513, (q31_t)0x58827dbe, (q31_t)0xa3889cb8, + (q31_t)0x587df3ab, (q31_t)0xa3844495, + (q31_t)0x58796962, (q31_t)0xa37fecac, (q31_t)0x5874dee2, (q31_t)0xa37b94fb, (q31_t)0x5870542c, (q31_t)0xa3773d84, + (q31_t)0x586bc93f, (q31_t)0xa372e646, + (q31_t)0x58673e1b, (q31_t)0xa36e8f41, (q31_t)0x5862b2c1, (q31_t)0xa36a3875, (q31_t)0x585e2730, (q31_t)0xa365e1e2, + (q31_t)0x58599b69, (q31_t)0xa3618b88, + (q31_t)0x58550f6c, (q31_t)0xa35d3567, (q31_t)0x58508338, (q31_t)0xa358df80, (q31_t)0x584bf6cd, (q31_t)0xa35489d1, + (q31_t)0x58476a2c, (q31_t)0xa350345c, + (q31_t)0x5842dd54, (q31_t)0xa34bdf20, (q31_t)0x583e5047, (q31_t)0xa3478a1d, (q31_t)0x5839c302, (q31_t)0xa3433554, + (q31_t)0x58353587, (q31_t)0xa33ee0c3, + (q31_t)0x5830a7d6, (q31_t)0xa33a8c6c, (q31_t)0x582c19ef, (q31_t)0xa336384e, (q31_t)0x58278bd1, (q31_t)0xa331e469, + (q31_t)0x5822fd7c, (q31_t)0xa32d90be, + (q31_t)0x581e6ef1, (q31_t)0xa3293d4b, (q31_t)0x5819e030, (q31_t)0xa324ea13, (q31_t)0x58155139, (q31_t)0xa3209713, + (q31_t)0x5810c20b, (q31_t)0xa31c444c, + (q31_t)0x580c32a7, (q31_t)0xa317f1bf, (q31_t)0x5807a30d, (q31_t)0xa3139f6b, (q31_t)0x5803133c, (q31_t)0xa30f4d51, + (q31_t)0x57fe8335, (q31_t)0xa30afb70, + (q31_t)0x57f9f2f8, (q31_t)0xa306a9c8, (q31_t)0x57f56284, (q31_t)0xa3025859, (q31_t)0x57f0d1da, (q31_t)0xa2fe0724, + (q31_t)0x57ec40fa, (q31_t)0xa2f9b629, + (q31_t)0x57e7afe4, (q31_t)0xa2f56566, (q31_t)0x57e31e97, (q31_t)0xa2f114dd, (q31_t)0x57de8d15, (q31_t)0xa2ecc48e, + (q31_t)0x57d9fb5c, (q31_t)0xa2e87477, + (q31_t)0x57d5696d, (q31_t)0xa2e4249b, (q31_t)0x57d0d747, (q31_t)0xa2dfd4f7, (q31_t)0x57cc44ec, (q31_t)0xa2db858e, + (q31_t)0x57c7b25a, (q31_t)0xa2d7365d, + (q31_t)0x57c31f92, (q31_t)0xa2d2e766, (q31_t)0x57be8c94, (q31_t)0xa2ce98a9, (q31_t)0x57b9f960, (q31_t)0xa2ca4a25, + (q31_t)0x57b565f6, (q31_t)0xa2c5fbda, + (q31_t)0x57b0d256, (q31_t)0xa2c1adc9, (q31_t)0x57ac3e80, (q31_t)0xa2bd5ff2, (q31_t)0x57a7aa73, (q31_t)0xa2b91254, + (q31_t)0x57a31631, (q31_t)0xa2b4c4f0, + (q31_t)0x579e81b8, (q31_t)0xa2b077c5, (q31_t)0x5799ed0a, (q31_t)0xa2ac2ad3, (q31_t)0x57955825, (q31_t)0xa2a7de1c, + (q31_t)0x5790c30a, (q31_t)0xa2a3919e, + (q31_t)0x578c2dba, (q31_t)0xa29f4559, (q31_t)0x57879833, (q31_t)0xa29af94e, (q31_t)0x57830276, (q31_t)0xa296ad7d, + (q31_t)0x577e6c84, (q31_t)0xa29261e5, + (q31_t)0x5779d65b, (q31_t)0xa28e1687, (q31_t)0x57753ffc, (q31_t)0xa289cb63, (q31_t)0x5770a968, (q31_t)0xa2858078, + (q31_t)0x576c129d, (q31_t)0xa28135c7, + (q31_t)0x57677b9d, (q31_t)0xa27ceb4f, (q31_t)0x5762e467, (q31_t)0xa278a111, (q31_t)0x575e4cfa, (q31_t)0xa274570d, + (q31_t)0x5759b558, (q31_t)0xa2700d43, + (q31_t)0x57551d80, (q31_t)0xa26bc3b2, (q31_t)0x57508572, (q31_t)0xa2677a5b, (q31_t)0x574bed2f, (q31_t)0xa263313e, + (q31_t)0x574754b5, (q31_t)0xa25ee85b, + (q31_t)0x5742bc06, (q31_t)0xa25a9fb1, (q31_t)0x573e2320, (q31_t)0xa2565741, (q31_t)0x57398a05, (q31_t)0xa2520f0b, + (q31_t)0x5734f0b5, (q31_t)0xa24dc70f, + (q31_t)0x5730572e, (q31_t)0xa2497f4c, (q31_t)0x572bbd71, (q31_t)0xa24537c3, (q31_t)0x5727237f, (q31_t)0xa240f074, + (q31_t)0x57228957, (q31_t)0xa23ca95f, + (q31_t)0x571deefa, (q31_t)0xa2386284, (q31_t)0x57195466, (q31_t)0xa2341be3, (q31_t)0x5714b99d, (q31_t)0xa22fd57b, + (q31_t)0x57101e9e, (q31_t)0xa22b8f4d, + (q31_t)0x570b8369, (q31_t)0xa2274959, (q31_t)0x5706e7ff, (q31_t)0xa223039f, (q31_t)0x57024c5f, (q31_t)0xa21ebe1f, + (q31_t)0x56fdb08a, (q31_t)0xa21a78d9, + (q31_t)0x56f9147e, (q31_t)0xa21633cd, (q31_t)0x56f4783d, (q31_t)0xa211eefb, (q31_t)0x56efdbc7, (q31_t)0xa20daa62, + (q31_t)0x56eb3f1a, (q31_t)0xa2096604, + (q31_t)0x56e6a239, (q31_t)0xa20521e0, (q31_t)0x56e20521, (q31_t)0xa200ddf5, (q31_t)0x56dd67d4, (q31_t)0xa1fc9a45, + (q31_t)0x56d8ca51, (q31_t)0xa1f856ce, + (q31_t)0x56d42c99, (q31_t)0xa1f41392, (q31_t)0x56cf8eab, (q31_t)0xa1efd08f, (q31_t)0x56caf088, (q31_t)0xa1eb8dc7, + (q31_t)0x56c6522f, (q31_t)0xa1e74b38, + (q31_t)0x56c1b3a1, (q31_t)0xa1e308e4, (q31_t)0x56bd14dd, (q31_t)0xa1dec6ca, (q31_t)0x56b875e4, (q31_t)0xa1da84e9, + (q31_t)0x56b3d6b5, (q31_t)0xa1d64343, + (q31_t)0x56af3750, (q31_t)0xa1d201d7, (q31_t)0x56aa97b7, (q31_t)0xa1cdc0a5, (q31_t)0x56a5f7e7, (q31_t)0xa1c97fad, + (q31_t)0x56a157e3, (q31_t)0xa1c53ef0, + (q31_t)0x569cb7a8, (q31_t)0xa1c0fe6c, (q31_t)0x56981739, (q31_t)0xa1bcbe22, (q31_t)0x56937694, (q31_t)0xa1b87e13, + (q31_t)0x568ed5b9, (q31_t)0xa1b43e3e, + (q31_t)0x568a34a9, (q31_t)0xa1affea3, (q31_t)0x56859364, (q31_t)0xa1abbf42, (q31_t)0x5680f1ea, (q31_t)0xa1a7801b, + (q31_t)0x567c503a, (q31_t)0xa1a3412f, + (q31_t)0x5677ae54, (q31_t)0xa19f027c, (q31_t)0x56730c3a, (q31_t)0xa19ac404, (q31_t)0x566e69ea, (q31_t)0xa19685c7, + (q31_t)0x5669c765, (q31_t)0xa19247c3, + (q31_t)0x566524aa, (q31_t)0xa18e09fa, (q31_t)0x566081ba, (q31_t)0xa189cc6b, (q31_t)0x565bde95, (q31_t)0xa1858f16, + (q31_t)0x56573b3b, (q31_t)0xa18151fb, + (q31_t)0x565297ab, (q31_t)0xa17d151b, (q31_t)0x564df3e6, (q31_t)0xa178d875, (q31_t)0x56494fec, (q31_t)0xa1749c09, + (q31_t)0x5644abbc, (q31_t)0xa1705fd8, + (q31_t)0x56400758, (q31_t)0xa16c23e1, (q31_t)0x563b62be, (q31_t)0xa167e824, (q31_t)0x5636bdef, (q31_t)0xa163aca2, + (q31_t)0x563218eb, (q31_t)0xa15f715a, + (q31_t)0x562d73b2, (q31_t)0xa15b364d, (q31_t)0x5628ce43, (q31_t)0xa156fb79, (q31_t)0x5624289f, (q31_t)0xa152c0e1, + (q31_t)0x561f82c7, (q31_t)0xa14e8682, + (q31_t)0x561adcb9, (q31_t)0xa14a4c5e, (q31_t)0x56163676, (q31_t)0xa1461275, (q31_t)0x56118ffe, (q31_t)0xa141d8c5, + (q31_t)0x560ce950, (q31_t)0xa13d9f51, + (q31_t)0x5608426e, (q31_t)0xa1396617, (q31_t)0x56039b57, (q31_t)0xa1352d17, (q31_t)0x55fef40a, (q31_t)0xa130f451, + (q31_t)0x55fa4c89, (q31_t)0xa12cbbc7, + (q31_t)0x55f5a4d2, (q31_t)0xa1288376, (q31_t)0x55f0fce7, (q31_t)0xa1244b61, (q31_t)0x55ec54c6, (q31_t)0xa1201385, + (q31_t)0x55e7ac71, (q31_t)0xa11bdbe4, + (q31_t)0x55e303e6, (q31_t)0xa117a47e, (q31_t)0x55de5b27, (q31_t)0xa1136d52, (q31_t)0x55d9b232, (q31_t)0xa10f3661, + (q31_t)0x55d50909, (q31_t)0xa10affab, + (q31_t)0x55d05faa, (q31_t)0xa106c92f, (q31_t)0x55cbb617, (q31_t)0xa10292ed, (q31_t)0x55c70c4f, (q31_t)0xa0fe5ce6, + (q31_t)0x55c26251, (q31_t)0xa0fa271a, + (q31_t)0x55bdb81f, (q31_t)0xa0f5f189, (q31_t)0x55b90db8, (q31_t)0xa0f1bc32, (q31_t)0x55b4631d, (q31_t)0xa0ed8715, + (q31_t)0x55afb84c, (q31_t)0xa0e95234, + (q31_t)0x55ab0d46, (q31_t)0xa0e51d8c, (q31_t)0x55a6620c, (q31_t)0xa0e0e920, (q31_t)0x55a1b69d, (q31_t)0xa0dcb4ee, + (q31_t)0x559d0af9, (q31_t)0xa0d880f7, + (q31_t)0x55985f20, (q31_t)0xa0d44d3b, (q31_t)0x5593b312, (q31_t)0xa0d019b9, (q31_t)0x558f06d0, (q31_t)0xa0cbe672, + (q31_t)0x558a5a58, (q31_t)0xa0c7b366, + (q31_t)0x5585adad, (q31_t)0xa0c38095, (q31_t)0x558100cc, (q31_t)0xa0bf4dfe, (q31_t)0x557c53b6, (q31_t)0xa0bb1ba2, + (q31_t)0x5577a66c, (q31_t)0xa0b6e981, + (q31_t)0x5572f8ed, (q31_t)0xa0b2b79b, (q31_t)0x556e4b39, (q31_t)0xa0ae85ef, (q31_t)0x55699d51, (q31_t)0xa0aa547e, + (q31_t)0x5564ef34, (q31_t)0xa0a62348, + (q31_t)0x556040e2, (q31_t)0xa0a1f24d, (q31_t)0x555b925c, (q31_t)0xa09dc18d, (q31_t)0x5556e3a1, (q31_t)0xa0999107, + (q31_t)0x555234b1, (q31_t)0xa09560bc, + (q31_t)0x554d858d, (q31_t)0xa09130ad, (q31_t)0x5548d634, (q31_t)0xa08d00d8, (q31_t)0x554426a7, (q31_t)0xa088d13e, + (q31_t)0x553f76e4, (q31_t)0xa084a1de, + (q31_t)0x553ac6ee, (q31_t)0xa08072ba, (q31_t)0x553616c2, (q31_t)0xa07c43d1, (q31_t)0x55316663, (q31_t)0xa0781522, + (q31_t)0x552cb5ce, (q31_t)0xa073e6af, + (q31_t)0x55280505, (q31_t)0xa06fb876, (q31_t)0x55235408, (q31_t)0xa06b8a78, (q31_t)0x551ea2d6, (q31_t)0xa0675cb6, + (q31_t)0x5519f16f, (q31_t)0xa0632f2e, + (q31_t)0x55153fd4, (q31_t)0xa05f01e1, (q31_t)0x55108e05, (q31_t)0xa05ad4cf, (q31_t)0x550bdc01, (q31_t)0xa056a7f9, + (q31_t)0x550729c9, (q31_t)0xa0527b5d, + (q31_t)0x5502775c, (q31_t)0xa04e4efc, (q31_t)0x54fdc4ba, (q31_t)0xa04a22d7, (q31_t)0x54f911e5, (q31_t)0xa045f6ec, + (q31_t)0x54f45edb, (q31_t)0xa041cb3c, + (q31_t)0x54efab9c, (q31_t)0xa03d9fc8, (q31_t)0x54eaf829, (q31_t)0xa039748e, (q31_t)0x54e64482, (q31_t)0xa0354990, + (q31_t)0x54e190a6, (q31_t)0xa0311ecd, + (q31_t)0x54dcdc96, (q31_t)0xa02cf444, (q31_t)0x54d82852, (q31_t)0xa028c9f7, (q31_t)0x54d373d9, (q31_t)0xa0249fe5, + (q31_t)0x54cebf2c, (q31_t)0xa020760e, + (q31_t)0x54ca0a4b, (q31_t)0xa01c4c73, (q31_t)0x54c55535, (q31_t)0xa0182312, (q31_t)0x54c09feb, (q31_t)0xa013f9ed, + (q31_t)0x54bbea6d, (q31_t)0xa00fd102, + (q31_t)0x54b734ba, (q31_t)0xa00ba853, (q31_t)0x54b27ed3, (q31_t)0xa0077fdf, (q31_t)0x54adc8b8, (q31_t)0xa00357a7, + (q31_t)0x54a91269, (q31_t)0x9fff2fa9, + (q31_t)0x54a45be6, (q31_t)0x9ffb07e7, (q31_t)0x549fa52e, (q31_t)0x9ff6e060, (q31_t)0x549aee42, (q31_t)0x9ff2b914, + (q31_t)0x54963722, (q31_t)0x9fee9204, + (q31_t)0x54917fce, (q31_t)0x9fea6b2f, (q31_t)0x548cc845, (q31_t)0x9fe64495, (q31_t)0x54881089, (q31_t)0x9fe21e36, + (q31_t)0x54835898, (q31_t)0x9fddf812, + (q31_t)0x547ea073, (q31_t)0x9fd9d22a, (q31_t)0x5479e81a, (q31_t)0x9fd5ac7d, (q31_t)0x54752f8d, (q31_t)0x9fd1870c, + (q31_t)0x547076cc, (q31_t)0x9fcd61d6, + (q31_t)0x546bbdd7, (q31_t)0x9fc93cdb, (q31_t)0x546704ae, (q31_t)0x9fc5181b, (q31_t)0x54624b50, (q31_t)0x9fc0f397, + (q31_t)0x545d91bf, (q31_t)0x9fbccf4f, + (q31_t)0x5458d7f9, (q31_t)0x9fb8ab41, (q31_t)0x54541e00, (q31_t)0x9fb4876f, (q31_t)0x544f63d2, (q31_t)0x9fb063d9, + (q31_t)0x544aa971, (q31_t)0x9fac407e, + (q31_t)0x5445eedb, (q31_t)0x9fa81d5e, (q31_t)0x54413412, (q31_t)0x9fa3fa79, (q31_t)0x543c7914, (q31_t)0x9f9fd7d1, + (q31_t)0x5437bde3, (q31_t)0x9f9bb563, + (q31_t)0x5433027d, (q31_t)0x9f979331, (q31_t)0x542e46e4, (q31_t)0x9f93713b, (q31_t)0x54298b17, (q31_t)0x9f8f4f80, + (q31_t)0x5424cf16, (q31_t)0x9f8b2e00, + (q31_t)0x542012e1, (q31_t)0x9f870cbc, (q31_t)0x541b5678, (q31_t)0x9f82ebb4, (q31_t)0x541699db, (q31_t)0x9f7ecae7, + (q31_t)0x5411dd0a, (q31_t)0x9f7aaa55, + (q31_t)0x540d2005, (q31_t)0x9f7689ff, (q31_t)0x540862cd, (q31_t)0x9f7269e5, (q31_t)0x5403a561, (q31_t)0x9f6e4a06, + (q31_t)0x53fee7c1, (q31_t)0x9f6a2a63, + (q31_t)0x53fa29ed, (q31_t)0x9f660afb, (q31_t)0x53f56be5, (q31_t)0x9f61ebcf, (q31_t)0x53f0adaa, (q31_t)0x9f5dccde, + (q31_t)0x53ebef3a, (q31_t)0x9f59ae29, + (q31_t)0x53e73097, (q31_t)0x9f558fb0, (q31_t)0x53e271c0, (q31_t)0x9f517173, (q31_t)0x53ddb2b6, (q31_t)0x9f4d5371, + (q31_t)0x53d8f378, (q31_t)0x9f4935aa, + (q31_t)0x53d43406, (q31_t)0x9f45181f, (q31_t)0x53cf7460, (q31_t)0x9f40fad0, (q31_t)0x53cab486, (q31_t)0x9f3cddbd, + (q31_t)0x53c5f479, (q31_t)0x9f38c0e5, + (q31_t)0x53c13439, (q31_t)0x9f34a449, (q31_t)0x53bc73c4, (q31_t)0x9f3087e9, (q31_t)0x53b7b31c, (q31_t)0x9f2c6bc5, + (q31_t)0x53b2f240, (q31_t)0x9f284fdc, + (q31_t)0x53ae3131, (q31_t)0x9f24342f, (q31_t)0x53a96fee, (q31_t)0x9f2018bd, (q31_t)0x53a4ae77, (q31_t)0x9f1bfd88, + (q31_t)0x539feccd, (q31_t)0x9f17e28e, + (q31_t)0x539b2af0, (q31_t)0x9f13c7d0, (q31_t)0x539668de, (q31_t)0x9f0fad4e, (q31_t)0x5391a699, (q31_t)0x9f0b9307, + (q31_t)0x538ce421, (q31_t)0x9f0778fd, + (q31_t)0x53882175, (q31_t)0x9f035f2e, (q31_t)0x53835e95, (q31_t)0x9eff459b, (q31_t)0x537e9b82, (q31_t)0x9efb2c44, + (q31_t)0x5379d83c, (q31_t)0x9ef71328, + (q31_t)0x537514c2, (q31_t)0x9ef2fa49, (q31_t)0x53705114, (q31_t)0x9eeee1a5, (q31_t)0x536b8d33, (q31_t)0x9eeac93e, + (q31_t)0x5366c91f, (q31_t)0x9ee6b112, + (q31_t)0x536204d7, (q31_t)0x9ee29922, (q31_t)0x535d405c, (q31_t)0x9ede816e, (q31_t)0x53587bad, (q31_t)0x9eda69f6, + (q31_t)0x5353b6cb, (q31_t)0x9ed652ba, + (q31_t)0x534ef1b5, (q31_t)0x9ed23bb9, (q31_t)0x534a2c6c, (q31_t)0x9ece24f5, (q31_t)0x534566f0, (q31_t)0x9eca0e6d, + (q31_t)0x5340a140, (q31_t)0x9ec5f820, + (q31_t)0x533bdb5d, (q31_t)0x9ec1e210, (q31_t)0x53371547, (q31_t)0x9ebdcc3b, (q31_t)0x53324efd, (q31_t)0x9eb9b6a3, + (q31_t)0x532d8880, (q31_t)0x9eb5a146, + (q31_t)0x5328c1d0, (q31_t)0x9eb18c26, (q31_t)0x5323faec, (q31_t)0x9ead7742, (q31_t)0x531f33d5, (q31_t)0x9ea96299, + (q31_t)0x531a6c8b, (q31_t)0x9ea54e2d, + (q31_t)0x5315a50e, (q31_t)0x9ea139fd, (q31_t)0x5310dd5d, (q31_t)0x9e9d2608, (q31_t)0x530c1579, (q31_t)0x9e991250, + (q31_t)0x53074d62, (q31_t)0x9e94fed4, + (q31_t)0x53028518, (q31_t)0x9e90eb94, (q31_t)0x52fdbc9a, (q31_t)0x9e8cd890, (q31_t)0x52f8f3e9, (q31_t)0x9e88c5c9, + (q31_t)0x52f42b05, (q31_t)0x9e84b33d, + (q31_t)0x52ef61ee, (q31_t)0x9e80a0ee, (q31_t)0x52ea98a4, (q31_t)0x9e7c8eda, (q31_t)0x52e5cf27, (q31_t)0x9e787d03, + (q31_t)0x52e10576, (q31_t)0x9e746b68, + (q31_t)0x52dc3b92, (q31_t)0x9e705a09, (q31_t)0x52d7717b, (q31_t)0x9e6c48e7, (q31_t)0x52d2a732, (q31_t)0x9e683800, + (q31_t)0x52cddcb5, (q31_t)0x9e642756, + (q31_t)0x52c91204, (q31_t)0x9e6016e8, (q31_t)0x52c44721, (q31_t)0x9e5c06b6, (q31_t)0x52bf7c0b, (q31_t)0x9e57f6c0, + (q31_t)0x52bab0c2, (q31_t)0x9e53e707, + (q31_t)0x52b5e546, (q31_t)0x9e4fd78a, (q31_t)0x52b11996, (q31_t)0x9e4bc849, (q31_t)0x52ac4db4, (q31_t)0x9e47b944, + (q31_t)0x52a7819f, (q31_t)0x9e43aa7c, + (q31_t)0x52a2b556, (q31_t)0x9e3f9bf0, (q31_t)0x529de8db, (q31_t)0x9e3b8da0, (q31_t)0x52991c2d, (q31_t)0x9e377f8c, + (q31_t)0x52944f4c, (q31_t)0x9e3371b5, + (q31_t)0x528f8238, (q31_t)0x9e2f641b, (q31_t)0x528ab4f1, (q31_t)0x9e2b56bc, (q31_t)0x5285e777, (q31_t)0x9e27499a, + (q31_t)0x528119ca, (q31_t)0x9e233cb4, + (q31_t)0x527c4bea, (q31_t)0x9e1f300b, (q31_t)0x52777dd7, (q31_t)0x9e1b239e, (q31_t)0x5272af92, (q31_t)0x9e17176d, + (q31_t)0x526de11a, (q31_t)0x9e130b79, + (q31_t)0x5269126e, (q31_t)0x9e0effc1, (q31_t)0x52644390, (q31_t)0x9e0af446, (q31_t)0x525f7480, (q31_t)0x9e06e907, + (q31_t)0x525aa53c, (q31_t)0x9e02de04, + (q31_t)0x5255d5c5, (q31_t)0x9dfed33e, (q31_t)0x5251061c, (q31_t)0x9dfac8b4, (q31_t)0x524c3640, (q31_t)0x9df6be67, + (q31_t)0x52476631, (q31_t)0x9df2b456, + (q31_t)0x524295f0, (q31_t)0x9deeaa82, (q31_t)0x523dc57b, (q31_t)0x9deaa0ea, (q31_t)0x5238f4d4, (q31_t)0x9de6978f, + (q31_t)0x523423fb, (q31_t)0x9de28e70, + (q31_t)0x522f52ee, (q31_t)0x9dde858e, (q31_t)0x522a81af, (q31_t)0x9dda7ce9, (q31_t)0x5225b03d, (q31_t)0x9dd6747f, + (q31_t)0x5220de99, (q31_t)0x9dd26c53, + (q31_t)0x521c0cc2, (q31_t)0x9dce6463, (q31_t)0x52173ab8, (q31_t)0x9dca5caf, (q31_t)0x5212687b, (q31_t)0x9dc65539, + (q31_t)0x520d960c, (q31_t)0x9dc24dfe, + (q31_t)0x5208c36a, (q31_t)0x9dbe4701, (q31_t)0x5203f096, (q31_t)0x9dba4040, (q31_t)0x51ff1d8f, (q31_t)0x9db639bb, + (q31_t)0x51fa4a56, (q31_t)0x9db23373, + (q31_t)0x51f576ea, (q31_t)0x9dae2d68, (q31_t)0x51f0a34b, (q31_t)0x9daa279a, (q31_t)0x51ebcf7a, (q31_t)0x9da62208, + (q31_t)0x51e6fb76, (q31_t)0x9da21cb2, + (q31_t)0x51e22740, (q31_t)0x9d9e179a, (q31_t)0x51dd52d7, (q31_t)0x9d9a12be, (q31_t)0x51d87e3c, (q31_t)0x9d960e1f, + (q31_t)0x51d3a96f, (q31_t)0x9d9209bd, + (q31_t)0x51ced46e, (q31_t)0x9d8e0597, (q31_t)0x51c9ff3c, (q31_t)0x9d8a01ae, (q31_t)0x51c529d7, (q31_t)0x9d85fe02, + (q31_t)0x51c0543f, (q31_t)0x9d81fa92, + (q31_t)0x51bb7e75, (q31_t)0x9d7df75f, (q31_t)0x51b6a879, (q31_t)0x9d79f469, (q31_t)0x51b1d24a, (q31_t)0x9d75f1b0, + (q31_t)0x51acfbe9, (q31_t)0x9d71ef34, + (q31_t)0x51a82555, (q31_t)0x9d6decf4, (q31_t)0x51a34e8f, (q31_t)0x9d69eaf1, (q31_t)0x519e7797, (q31_t)0x9d65e92b, + (q31_t)0x5199a06d, (q31_t)0x9d61e7a2, + (q31_t)0x5194c910, (q31_t)0x9d5de656, (q31_t)0x518ff180, (q31_t)0x9d59e546, (q31_t)0x518b19bf, (q31_t)0x9d55e473, + (q31_t)0x518641cb, (q31_t)0x9d51e3dd, + (q31_t)0x518169a5, (q31_t)0x9d4de385, (q31_t)0x517c914c, (q31_t)0x9d49e368, (q31_t)0x5177b8c2, (q31_t)0x9d45e389, + (q31_t)0x5172e005, (q31_t)0x9d41e3e7, + (q31_t)0x516e0715, (q31_t)0x9d3de482, (q31_t)0x51692df4, (q31_t)0x9d39e559, (q31_t)0x516454a0, (q31_t)0x9d35e66e, + (q31_t)0x515f7b1a, (q31_t)0x9d31e7bf, + (q31_t)0x515aa162, (q31_t)0x9d2de94d, (q31_t)0x5155c778, (q31_t)0x9d29eb19, (q31_t)0x5150ed5c, (q31_t)0x9d25ed21, + (q31_t)0x514c130d, (q31_t)0x9d21ef66, + (q31_t)0x5147388c, (q31_t)0x9d1df1e9, (q31_t)0x51425dd9, (q31_t)0x9d19f4a8, (q31_t)0x513d82f4, (q31_t)0x9d15f7a4, + (q31_t)0x5138a7dd, (q31_t)0x9d11fadd, + (q31_t)0x5133cc94, (q31_t)0x9d0dfe54, (q31_t)0x512ef119, (q31_t)0x9d0a0207, (q31_t)0x512a156b, (q31_t)0x9d0605f7, + (q31_t)0x5125398c, (q31_t)0x9d020a25, + (q31_t)0x51205d7b, (q31_t)0x9cfe0e8f, (q31_t)0x511b8137, (q31_t)0x9cfa1337, (q31_t)0x5116a4c1, (q31_t)0x9cf6181c, + (q31_t)0x5111c81a, (q31_t)0x9cf21d3d, + (q31_t)0x510ceb40, (q31_t)0x9cee229c, (q31_t)0x51080e35, (q31_t)0x9cea2838, (q31_t)0x510330f7, (q31_t)0x9ce62e11, + (q31_t)0x50fe5388, (q31_t)0x9ce23427, + (q31_t)0x50f975e6, (q31_t)0x9cde3a7b, (q31_t)0x50f49813, (q31_t)0x9cda410b, (q31_t)0x50efba0d, (q31_t)0x9cd647d9, + (q31_t)0x50eadbd6, (q31_t)0x9cd24ee4, + (q31_t)0x50e5fd6d, (q31_t)0x9cce562c, (q31_t)0x50e11ed2, (q31_t)0x9cca5db1, (q31_t)0x50dc4005, (q31_t)0x9cc66573, + (q31_t)0x50d76106, (q31_t)0x9cc26d73, + (q31_t)0x50d281d5, (q31_t)0x9cbe75b0, (q31_t)0x50cda272, (q31_t)0x9cba7e2a, (q31_t)0x50c8c2de, (q31_t)0x9cb686e1, + (q31_t)0x50c3e317, (q31_t)0x9cb28fd5, + (q31_t)0x50bf031f, (q31_t)0x9cae9907, (q31_t)0x50ba22f5, (q31_t)0x9caaa276, (q31_t)0x50b5429a, (q31_t)0x9ca6ac23, + (q31_t)0x50b0620c, (q31_t)0x9ca2b60c, + (q31_t)0x50ab814d, (q31_t)0x9c9ec033, (q31_t)0x50a6a05c, (q31_t)0x9c9aca97, (q31_t)0x50a1bf39, (q31_t)0x9c96d539, + (q31_t)0x509cdde4, (q31_t)0x9c92e017, + (q31_t)0x5097fc5e, (q31_t)0x9c8eeb34, (q31_t)0x50931aa6, (q31_t)0x9c8af68d, (q31_t)0x508e38bd, (q31_t)0x9c870224, + (q31_t)0x508956a1, (q31_t)0x9c830df8, + (q31_t)0x50847454, (q31_t)0x9c7f1a0a, (q31_t)0x507f91d5, (q31_t)0x9c7b2659, (q31_t)0x507aaf25, (q31_t)0x9c7732e5, + (q31_t)0x5075cc43, (q31_t)0x9c733faf, + (q31_t)0x5070e92f, (q31_t)0x9c6f4cb6, (q31_t)0x506c05ea, (q31_t)0x9c6b59fa, (q31_t)0x50672273, (q31_t)0x9c67677c, + (q31_t)0x50623ecb, (q31_t)0x9c63753c, + (q31_t)0x505d5af1, (q31_t)0x9c5f8339, (q31_t)0x505876e5, (q31_t)0x9c5b9173, (q31_t)0x505392a8, (q31_t)0x9c579feb, + (q31_t)0x504eae39, (q31_t)0x9c53aea0, + (q31_t)0x5049c999, (q31_t)0x9c4fbd93, (q31_t)0x5044e4c7, (q31_t)0x9c4bccc3, (q31_t)0x503fffc4, (q31_t)0x9c47dc31, + (q31_t)0x503b1a8f, (q31_t)0x9c43ebdc, + (q31_t)0x50363529, (q31_t)0x9c3ffbc5, (q31_t)0x50314f91, (q31_t)0x9c3c0beb, (q31_t)0x502c69c8, (q31_t)0x9c381c4f, + (q31_t)0x502783cd, (q31_t)0x9c342cf0, + (q31_t)0x50229da1, (q31_t)0x9c303dcf, (q31_t)0x501db743, (q31_t)0x9c2c4eec, (q31_t)0x5018d0b4, (q31_t)0x9c286046, + (q31_t)0x5013e9f4, (q31_t)0x9c2471de, + (q31_t)0x500f0302, (q31_t)0x9c2083b3, (q31_t)0x500a1bdf, (q31_t)0x9c1c95c6, (q31_t)0x5005348a, (q31_t)0x9c18a816, + (q31_t)0x50004d04, (q31_t)0x9c14baa4, + (q31_t)0x4ffb654d, (q31_t)0x9c10cd70, (q31_t)0x4ff67d64, (q31_t)0x9c0ce07a, (q31_t)0x4ff1954b, (q31_t)0x9c08f3c1, + (q31_t)0x4fecacff, (q31_t)0x9c050745, + (q31_t)0x4fe7c483, (q31_t)0x9c011b08, (q31_t)0x4fe2dbd5, (q31_t)0x9bfd2f08, (q31_t)0x4fddf2f6, (q31_t)0x9bf94346, + (q31_t)0x4fd909e5, (q31_t)0x9bf557c1, + (q31_t)0x4fd420a4, (q31_t)0x9bf16c7a, (q31_t)0x4fcf3731, (q31_t)0x9bed8171, (q31_t)0x4fca4d8d, (q31_t)0x9be996a6, + (q31_t)0x4fc563b7, (q31_t)0x9be5ac18, + (q31_t)0x4fc079b1, (q31_t)0x9be1c1c8, (q31_t)0x4fbb8f79, (q31_t)0x9bddd7b6, (q31_t)0x4fb6a510, (q31_t)0x9bd9ede2, + (q31_t)0x4fb1ba76, (q31_t)0x9bd6044b, + (q31_t)0x4faccfab, (q31_t)0x9bd21af3, (q31_t)0x4fa7e4af, (q31_t)0x9bce31d8, (q31_t)0x4fa2f981, (q31_t)0x9bca48fa, + (q31_t)0x4f9e0e22, (q31_t)0x9bc6605b, + (q31_t)0x4f992293, (q31_t)0x9bc277fa, (q31_t)0x4f9436d2, (q31_t)0x9bbe8fd6, (q31_t)0x4f8f4ae0, (q31_t)0x9bbaa7f0, + (q31_t)0x4f8a5ebd, (q31_t)0x9bb6c048, + (q31_t)0x4f857269, (q31_t)0x9bb2d8de, (q31_t)0x4f8085e4, (q31_t)0x9baef1b2, (q31_t)0x4f7b992d, (q31_t)0x9bab0ac3, + (q31_t)0x4f76ac46, (q31_t)0x9ba72413, + (q31_t)0x4f71bf2e, (q31_t)0x9ba33da0, (q31_t)0x4f6cd1e5, (q31_t)0x9b9f576b, (q31_t)0x4f67e46a, (q31_t)0x9b9b7174, + (q31_t)0x4f62f6bf, (q31_t)0x9b978bbc, + (q31_t)0x4f5e08e3, (q31_t)0x9b93a641, (q31_t)0x4f591ad6, (q31_t)0x9b8fc104, (q31_t)0x4f542c98, (q31_t)0x9b8bdc05, + (q31_t)0x4f4f3e29, (q31_t)0x9b87f744, + (q31_t)0x4f4a4f89, (q31_t)0x9b8412c1, (q31_t)0x4f4560b8, (q31_t)0x9b802e7b, (q31_t)0x4f4071b6, (q31_t)0x9b7c4a74, + (q31_t)0x4f3b8284, (q31_t)0x9b7866ab, + (q31_t)0x4f369320, (q31_t)0x9b748320, (q31_t)0x4f31a38c, (q31_t)0x9b709fd3, (q31_t)0x4f2cb3c7, (q31_t)0x9b6cbcc4, + (q31_t)0x4f27c3d1, (q31_t)0x9b68d9f3, + (q31_t)0x4f22d3aa, (q31_t)0x9b64f760, (q31_t)0x4f1de352, (q31_t)0x9b61150b, (q31_t)0x4f18f2c9, (q31_t)0x9b5d32f4, + (q31_t)0x4f140210, (q31_t)0x9b59511c, + (q31_t)0x4f0f1126, (q31_t)0x9b556f81, (q31_t)0x4f0a200b, (q31_t)0x9b518e24, (q31_t)0x4f052ec0, (q31_t)0x9b4dad06, + (q31_t)0x4f003d43, (q31_t)0x9b49cc26, + (q31_t)0x4efb4b96, (q31_t)0x9b45eb83, (q31_t)0x4ef659b8, (q31_t)0x9b420b1f, (q31_t)0x4ef167aa, (q31_t)0x9b3e2af9, + (q31_t)0x4eec756b, (q31_t)0x9b3a4b11, + (q31_t)0x4ee782fb, (q31_t)0x9b366b68, (q31_t)0x4ee2905a, (q31_t)0x9b328bfc, (q31_t)0x4edd9d89, (q31_t)0x9b2eaccf, + (q31_t)0x4ed8aa87, (q31_t)0x9b2acde0, + (q31_t)0x4ed3b755, (q31_t)0x9b26ef2f, (q31_t)0x4ecec3f2, (q31_t)0x9b2310bc, (q31_t)0x4ec9d05e, (q31_t)0x9b1f3288, + (q31_t)0x4ec4dc99, (q31_t)0x9b1b5492, + (q31_t)0x4ebfe8a5, (q31_t)0x9b1776da, (q31_t)0x4ebaf47f, (q31_t)0x9b139960, (q31_t)0x4eb60029, (q31_t)0x9b0fbc24, + (q31_t)0x4eb10ba2, (q31_t)0x9b0bdf27, + (q31_t)0x4eac16eb, (q31_t)0x9b080268, (q31_t)0x4ea72203, (q31_t)0x9b0425e8, (q31_t)0x4ea22ceb, (q31_t)0x9b0049a5, + (q31_t)0x4e9d37a3, (q31_t)0x9afc6da1, + (q31_t)0x4e984229, (q31_t)0x9af891db, (q31_t)0x4e934c80, (q31_t)0x9af4b654, (q31_t)0x4e8e56a5, (q31_t)0x9af0db0b, + (q31_t)0x4e89609b, (q31_t)0x9aed0000, + (q31_t)0x4e846a60, (q31_t)0x9ae92533, (q31_t)0x4e7f73f4, (q31_t)0x9ae54aa5, (q31_t)0x4e7a7d58, (q31_t)0x9ae17056, + (q31_t)0x4e75868c, (q31_t)0x9add9644, + (q31_t)0x4e708f8f, (q31_t)0x9ad9bc71, (q31_t)0x4e6b9862, (q31_t)0x9ad5e2dd, (q31_t)0x4e66a105, (q31_t)0x9ad20987, + (q31_t)0x4e61a977, (q31_t)0x9ace306f, + (q31_t)0x4e5cb1b9, (q31_t)0x9aca5795, (q31_t)0x4e57b9ca, (q31_t)0x9ac67efb, (q31_t)0x4e52c1ab, (q31_t)0x9ac2a69e, + (q31_t)0x4e4dc95c, (q31_t)0x9abece80, + (q31_t)0x4e48d0dd, (q31_t)0x9abaf6a1, (q31_t)0x4e43d82d, (q31_t)0x9ab71eff, (q31_t)0x4e3edf4d, (q31_t)0x9ab3479d, + (q31_t)0x4e39e63d, (q31_t)0x9aaf7079, + (q31_t)0x4e34ecfc, (q31_t)0x9aab9993, (q31_t)0x4e2ff38b, (q31_t)0x9aa7c2ec, (q31_t)0x4e2af9ea, (q31_t)0x9aa3ec83, + (q31_t)0x4e260019, (q31_t)0x9aa01659, + (q31_t)0x4e210617, (q31_t)0x9a9c406e, (q31_t)0x4e1c0be6, (q31_t)0x9a986ac1, (q31_t)0x4e171184, (q31_t)0x9a949552, + (q31_t)0x4e1216f2, (q31_t)0x9a90c022, + (q31_t)0x4e0d1c30, (q31_t)0x9a8ceb31, (q31_t)0x4e08213e, (q31_t)0x9a89167e, (q31_t)0x4e03261b, (q31_t)0x9a85420a, + (q31_t)0x4dfe2ac9, (q31_t)0x9a816dd5, + (q31_t)0x4df92f46, (q31_t)0x9a7d99de, (q31_t)0x4df43393, (q31_t)0x9a79c625, (q31_t)0x4def37b0, (q31_t)0x9a75f2ac, + (q31_t)0x4dea3b9d, (q31_t)0x9a721f71, + (q31_t)0x4de53f5a, (q31_t)0x9a6e4c74, (q31_t)0x4de042e7, (q31_t)0x9a6a79b6, (q31_t)0x4ddb4644, (q31_t)0x9a66a737, + (q31_t)0x4dd64971, (q31_t)0x9a62d4f7, + (q31_t)0x4dd14c6e, (q31_t)0x9a5f02f5, (q31_t)0x4dcc4f3b, (q31_t)0x9a5b3132, (q31_t)0x4dc751d8, (q31_t)0x9a575fae, + (q31_t)0x4dc25445, (q31_t)0x9a538e68, + (q31_t)0x4dbd5682, (q31_t)0x9a4fbd61, (q31_t)0x4db8588f, (q31_t)0x9a4bec99, (q31_t)0x4db35a6c, (q31_t)0x9a481c0f, + (q31_t)0x4dae5c19, (q31_t)0x9a444bc5, + (q31_t)0x4da95d96, (q31_t)0x9a407bb9, (q31_t)0x4da45ee3, (q31_t)0x9a3cabeb, (q31_t)0x4d9f6001, (q31_t)0x9a38dc5d, + (q31_t)0x4d9a60ee, (q31_t)0x9a350d0d, + (q31_t)0x4d9561ac, (q31_t)0x9a313dfc, (q31_t)0x4d90623a, (q31_t)0x9a2d6f2a, (q31_t)0x4d8b6298, (q31_t)0x9a29a097, + (q31_t)0x4d8662c6, (q31_t)0x9a25d243, + (q31_t)0x4d8162c4, (q31_t)0x9a22042d, (q31_t)0x4d7c6293, (q31_t)0x9a1e3656, (q31_t)0x4d776231, (q31_t)0x9a1a68be, + (q31_t)0x4d7261a0, (q31_t)0x9a169b65, + (q31_t)0x4d6d60df, (q31_t)0x9a12ce4b, (q31_t)0x4d685fef, (q31_t)0x9a0f016f, (q31_t)0x4d635ece, (q31_t)0x9a0b34d3, + (q31_t)0x4d5e5d7e, (q31_t)0x9a076875, + (q31_t)0x4d595bfe, (q31_t)0x9a039c57, (q31_t)0x4d545a4f, (q31_t)0x99ffd077, (q31_t)0x4d4f5870, (q31_t)0x99fc04d6, + (q31_t)0x4d4a5661, (q31_t)0x99f83974, + (q31_t)0x4d455422, (q31_t)0x99f46e51, (q31_t)0x4d4051b4, (q31_t)0x99f0a36d, (q31_t)0x4d3b4f16, (q31_t)0x99ecd8c8, + (q31_t)0x4d364c48, (q31_t)0x99e90e62, + (q31_t)0x4d31494b, (q31_t)0x99e5443b, (q31_t)0x4d2c461e, (q31_t)0x99e17a53, (q31_t)0x4d2742c2, (q31_t)0x99ddb0aa, + (q31_t)0x4d223f36, (q31_t)0x99d9e73f, + (q31_t)0x4d1d3b7a, (q31_t)0x99d61e14, (q31_t)0x4d18378f, (q31_t)0x99d25528, (q31_t)0x4d133374, (q31_t)0x99ce8c7b, + (q31_t)0x4d0e2f2a, (q31_t)0x99cac40d, + (q31_t)0x4d092ab0, (q31_t)0x99c6fbde, (q31_t)0x4d042607, (q31_t)0x99c333ee, (q31_t)0x4cff212e, (q31_t)0x99bf6c3d, + (q31_t)0x4cfa1c26, (q31_t)0x99bba4cb, + (q31_t)0x4cf516ee, (q31_t)0x99b7dd99, (q31_t)0x4cf01187, (q31_t)0x99b416a5, (q31_t)0x4ceb0bf0, (q31_t)0x99b04ff0, + (q31_t)0x4ce6062a, (q31_t)0x99ac897b, + (q31_t)0x4ce10034, (q31_t)0x99a8c345, (q31_t)0x4cdbfa0f, (q31_t)0x99a4fd4d, (q31_t)0x4cd6f3bb, (q31_t)0x99a13795, + (q31_t)0x4cd1ed37, (q31_t)0x999d721c, + (q31_t)0x4ccce684, (q31_t)0x9999ace3, (q31_t)0x4cc7dfa1, (q31_t)0x9995e7e8, (q31_t)0x4cc2d88f, (q31_t)0x9992232d, + (q31_t)0x4cbdd14e, (q31_t)0x998e5eb1, + (q31_t)0x4cb8c9dd, (q31_t)0x998a9a74, (q31_t)0x4cb3c23d, (q31_t)0x9986d676, (q31_t)0x4caeba6e, (q31_t)0x998312b7, + (q31_t)0x4ca9b26f, (q31_t)0x997f4f38, + (q31_t)0x4ca4aa41, (q31_t)0x997b8bf8, (q31_t)0x4c9fa1e4, (q31_t)0x9977c8f7, (q31_t)0x4c9a9958, (q31_t)0x99740635, + (q31_t)0x4c95909c, (q31_t)0x997043b2, + (q31_t)0x4c9087b1, (q31_t)0x996c816f, (q31_t)0x4c8b7e97, (q31_t)0x9968bf6b, (q31_t)0x4c86754e, (q31_t)0x9964fda7, + (q31_t)0x4c816bd5, (q31_t)0x99613c22, + (q31_t)0x4c7c622d, (q31_t)0x995d7adc, (q31_t)0x4c775856, (q31_t)0x9959b9d5, (q31_t)0x4c724e50, (q31_t)0x9955f90d, + (q31_t)0x4c6d441b, (q31_t)0x99523885, + (q31_t)0x4c6839b7, (q31_t)0x994e783d, (q31_t)0x4c632f23, (q31_t)0x994ab833, (q31_t)0x4c5e2460, (q31_t)0x9946f869, + (q31_t)0x4c59196f, (q31_t)0x994338df, + (q31_t)0x4c540e4e, (q31_t)0x993f7993, (q31_t)0x4c4f02fe, (q31_t)0x993bba87, (q31_t)0x4c49f77f, (q31_t)0x9937fbbb, + (q31_t)0x4c44ebd1, (q31_t)0x99343d2e, + (q31_t)0x4c3fdff4, (q31_t)0x99307ee0, (q31_t)0x4c3ad3e7, (q31_t)0x992cc0d2, (q31_t)0x4c35c7ac, (q31_t)0x99290303, + (q31_t)0x4c30bb42, (q31_t)0x99254574, + (q31_t)0x4c2baea9, (q31_t)0x99218824, (q31_t)0x4c26a1e1, (q31_t)0x991dcb13, (q31_t)0x4c2194e9, (q31_t)0x991a0e42, + (q31_t)0x4c1c87c3, (q31_t)0x991651b1, + (q31_t)0x4c177a6e, (q31_t)0x9912955f, (q31_t)0x4c126cea, (q31_t)0x990ed94c, (q31_t)0x4c0d5f37, (q31_t)0x990b1d79, + (q31_t)0x4c085156, (q31_t)0x990761e5, + (q31_t)0x4c034345, (q31_t)0x9903a691, (q31_t)0x4bfe3505, (q31_t)0x98ffeb7d, (q31_t)0x4bf92697, (q31_t)0x98fc30a8, + (q31_t)0x4bf417f9, (q31_t)0x98f87612, + (q31_t)0x4bef092d, (q31_t)0x98f4bbbc, (q31_t)0x4be9fa32, (q31_t)0x98f101a6, (q31_t)0x4be4eb08, (q31_t)0x98ed47cf, + (q31_t)0x4bdfdbaf, (q31_t)0x98e98e38, + (q31_t)0x4bdacc28, (q31_t)0x98e5d4e0, (q31_t)0x4bd5bc72, (q31_t)0x98e21bc8, (q31_t)0x4bd0ac8d, (q31_t)0x98de62f0, + (q31_t)0x4bcb9c79, (q31_t)0x98daaa57, + (q31_t)0x4bc68c36, (q31_t)0x98d6f1fe, (q31_t)0x4bc17bc5, (q31_t)0x98d339e4, (q31_t)0x4bbc6b25, (q31_t)0x98cf820b, + (q31_t)0x4bb75a56, (q31_t)0x98cbca70, + (q31_t)0x4bb24958, (q31_t)0x98c81316, (q31_t)0x4bad382c, (q31_t)0x98c45bfb, (q31_t)0x4ba826d1, (q31_t)0x98c0a520, + (q31_t)0x4ba31548, (q31_t)0x98bcee84, + (q31_t)0x4b9e0390, (q31_t)0x98b93828, (q31_t)0x4b98f1a9, (q31_t)0x98b5820c, (q31_t)0x4b93df93, (q31_t)0x98b1cc30, + (q31_t)0x4b8ecd4f, (q31_t)0x98ae1693, + (q31_t)0x4b89badd, (q31_t)0x98aa6136, (q31_t)0x4b84a83b, (q31_t)0x98a6ac19, (q31_t)0x4b7f956b, (q31_t)0x98a2f73c, + (q31_t)0x4b7a826d, (q31_t)0x989f429e, + (q31_t)0x4b756f40, (q31_t)0x989b8e40, (q31_t)0x4b705be4, (q31_t)0x9897da22, (q31_t)0x4b6b485a, (q31_t)0x98942643, + (q31_t)0x4b6634a2, (q31_t)0x989072a5, + (q31_t)0x4b6120bb, (q31_t)0x988cbf46, (q31_t)0x4b5c0ca5, (q31_t)0x98890c27, (q31_t)0x4b56f861, (q31_t)0x98855948, + (q31_t)0x4b51e3ee, (q31_t)0x9881a6a9, + (q31_t)0x4b4ccf4d, (q31_t)0x987df449, (q31_t)0x4b47ba7e, (q31_t)0x987a422a, (q31_t)0x4b42a580, (q31_t)0x9876904a, + (q31_t)0x4b3d9053, (q31_t)0x9872deaa, + (q31_t)0x4b387af9, (q31_t)0x986f2d4a, (q31_t)0x4b336570, (q31_t)0x986b7c2a, (q31_t)0x4b2e4fb8, (q31_t)0x9867cb4a, + (q31_t)0x4b2939d2, (q31_t)0x98641aa9, + (q31_t)0x4b2423be, (q31_t)0x98606a49, (q31_t)0x4b1f0d7b, (q31_t)0x985cba28, (q31_t)0x4b19f70a, (q31_t)0x98590a48, + (q31_t)0x4b14e06b, (q31_t)0x98555aa7, + (q31_t)0x4b0fc99d, (q31_t)0x9851ab46, (q31_t)0x4b0ab2a1, (q31_t)0x984dfc26, (q31_t)0x4b059b77, (q31_t)0x984a4d45, + (q31_t)0x4b00841f, (q31_t)0x98469ea4, + (q31_t)0x4afb6c98, (q31_t)0x9842f043, (q31_t)0x4af654e3, (q31_t)0x983f4223, (q31_t)0x4af13d00, (q31_t)0x983b9442, + (q31_t)0x4aec24ee, (q31_t)0x9837e6a1, + (q31_t)0x4ae70caf, (q31_t)0x98343940, (q31_t)0x4ae1f441, (q31_t)0x98308c1f, (q31_t)0x4adcdba5, (q31_t)0x982cdf3f, + (q31_t)0x4ad7c2da, (q31_t)0x9829329e, + (q31_t)0x4ad2a9e2, (q31_t)0x9825863d, (q31_t)0x4acd90bb, (q31_t)0x9821da1d, (q31_t)0x4ac87767, (q31_t)0x981e2e3c, + (q31_t)0x4ac35de4, (q31_t)0x981a829c, + (q31_t)0x4abe4433, (q31_t)0x9816d73b, (q31_t)0x4ab92a54, (q31_t)0x98132c1b, (q31_t)0x4ab41046, (q31_t)0x980f813b, + (q31_t)0x4aaef60b, (q31_t)0x980bd69b, + (q31_t)0x4aa9dba2, (q31_t)0x98082c3b, (q31_t)0x4aa4c10b, (q31_t)0x9804821b, (q31_t)0x4a9fa645, (q31_t)0x9800d83c, + (q31_t)0x4a9a8b52, (q31_t)0x97fd2e9c, + (q31_t)0x4a957030, (q31_t)0x97f9853d, (q31_t)0x4a9054e1, (q31_t)0x97f5dc1e, (q31_t)0x4a8b3963, (q31_t)0x97f2333f, + (q31_t)0x4a861db8, (q31_t)0x97ee8aa0, + (q31_t)0x4a8101de, (q31_t)0x97eae242, (q31_t)0x4a7be5d7, (q31_t)0x97e73a23, (q31_t)0x4a76c9a2, (q31_t)0x97e39245, + (q31_t)0x4a71ad3e, (q31_t)0x97dfeaa7, + (q31_t)0x4a6c90ad, (q31_t)0x97dc4349, (q31_t)0x4a6773ee, (q31_t)0x97d89c2c, (q31_t)0x4a625701, (q31_t)0x97d4f54f, + (q31_t)0x4a5d39e6, (q31_t)0x97d14eb2, + (q31_t)0x4a581c9e, (q31_t)0x97cda855, (q31_t)0x4a52ff27, (q31_t)0x97ca0239, (q31_t)0x4a4de182, (q31_t)0x97c65c5c, + (q31_t)0x4a48c3b0, (q31_t)0x97c2b6c1, + (q31_t)0x4a43a5b0, (q31_t)0x97bf1165, (q31_t)0x4a3e8782, (q31_t)0x97bb6c4a, (q31_t)0x4a396926, (q31_t)0x97b7c76f, + (q31_t)0x4a344a9d, (q31_t)0x97b422d4, + (q31_t)0x4a2f2be6, (q31_t)0x97b07e7a, (q31_t)0x4a2a0d01, (q31_t)0x97acda60, (q31_t)0x4a24edee, (q31_t)0x97a93687, + (q31_t)0x4a1fcead, (q31_t)0x97a592ed, + (q31_t)0x4a1aaf3f, (q31_t)0x97a1ef94, (q31_t)0x4a158fa3, (q31_t)0x979e4c7c, (q31_t)0x4a106fda, (q31_t)0x979aa9a4, + (q31_t)0x4a0b4fe2, (q31_t)0x9797070c, + (q31_t)0x4a062fbd, (q31_t)0x979364b5, (q31_t)0x4a010f6b, (q31_t)0x978fc29e, (q31_t)0x49fbeeea, (q31_t)0x978c20c8, + (q31_t)0x49f6ce3c, (q31_t)0x97887f32, + (q31_t)0x49f1ad61, (q31_t)0x9784dddc, (q31_t)0x49ec8c57, (q31_t)0x97813cc7, (q31_t)0x49e76b21, (q31_t)0x977d9bf2, + (q31_t)0x49e249bc, (q31_t)0x9779fb5e, + (q31_t)0x49dd282a, (q31_t)0x97765b0a, (q31_t)0x49d8066b, (q31_t)0x9772baf7, (q31_t)0x49d2e47e, (q31_t)0x976f1b24, + (q31_t)0x49cdc263, (q31_t)0x976b7b92, + (q31_t)0x49c8a01b, (q31_t)0x9767dc41, (q31_t)0x49c37da5, (q31_t)0x97643d2f, (q31_t)0x49be5b02, (q31_t)0x97609e5f, + (q31_t)0x49b93832, (q31_t)0x975cffcf, + (q31_t)0x49b41533, (q31_t)0x9759617f, (q31_t)0x49aef208, (q31_t)0x9755c370, (q31_t)0x49a9ceaf, (q31_t)0x975225a1, + (q31_t)0x49a4ab28, (q31_t)0x974e8813, + (q31_t)0x499f8774, (q31_t)0x974aeac6, (q31_t)0x499a6393, (q31_t)0x97474db9, (q31_t)0x49953f84, (q31_t)0x9743b0ed, + (q31_t)0x49901b48, (q31_t)0x97401462, + (q31_t)0x498af6df, (q31_t)0x973c7817, (q31_t)0x4985d248, (q31_t)0x9738dc0d, (q31_t)0x4980ad84, (q31_t)0x97354043, + (q31_t)0x497b8892, (q31_t)0x9731a4ba, + (q31_t)0x49766373, (q31_t)0x972e0971, (q31_t)0x49713e27, (q31_t)0x972a6e6a, (q31_t)0x496c18ae, (q31_t)0x9726d3a3, + (q31_t)0x4966f307, (q31_t)0x9723391c, + (q31_t)0x4961cd33, (q31_t)0x971f9ed7, (q31_t)0x495ca732, (q31_t)0x971c04d2, (q31_t)0x49578103, (q31_t)0x97186b0d, + (q31_t)0x49525aa7, (q31_t)0x9714d18a, + (q31_t)0x494d341e, (q31_t)0x97113847, (q31_t)0x49480d68, (q31_t)0x970d9f45, (q31_t)0x4942e684, (q31_t)0x970a0683, + (q31_t)0x493dbf74, (q31_t)0x97066e03, + (q31_t)0x49389836, (q31_t)0x9702d5c3, (q31_t)0x493370cb, (q31_t)0x96ff3dc4, (q31_t)0x492e4933, (q31_t)0x96fba605, + (q31_t)0x4929216e, (q31_t)0x96f80e88, + (q31_t)0x4923f97b, (q31_t)0x96f4774b, (q31_t)0x491ed15c, (q31_t)0x96f0e04f, (q31_t)0x4919a90f, (q31_t)0x96ed4994, + (q31_t)0x49148095, (q31_t)0x96e9b319, + (q31_t)0x490f57ee, (q31_t)0x96e61ce0, (q31_t)0x490a2f1b, (q31_t)0x96e286e7, (q31_t)0x4905061a, (q31_t)0x96def12f, + (q31_t)0x48ffdcec, (q31_t)0x96db5bb8, + (q31_t)0x48fab391, (q31_t)0x96d7c682, (q31_t)0x48f58a09, (q31_t)0x96d4318d, (q31_t)0x48f06054, (q31_t)0x96d09cd8, + (q31_t)0x48eb3672, (q31_t)0x96cd0865, + (q31_t)0x48e60c62, (q31_t)0x96c97432, (q31_t)0x48e0e227, (q31_t)0x96c5e040, (q31_t)0x48dbb7be, (q31_t)0x96c24c8f, + (q31_t)0x48d68d28, (q31_t)0x96beb91f, + (q31_t)0x48d16265, (q31_t)0x96bb25f0, (q31_t)0x48cc3775, (q31_t)0x96b79302, (q31_t)0x48c70c59, (q31_t)0x96b40055, + (q31_t)0x48c1e10f, (q31_t)0x96b06de9, + (q31_t)0x48bcb599, (q31_t)0x96acdbbe, (q31_t)0x48b789f5, (q31_t)0x96a949d3, (q31_t)0x48b25e25, (q31_t)0x96a5b82a, + (q31_t)0x48ad3228, (q31_t)0x96a226c2, + (q31_t)0x48a805ff, (q31_t)0x969e959b, (q31_t)0x48a2d9a8, (q31_t)0x969b04b4, (q31_t)0x489dad25, (q31_t)0x9697740f, + (q31_t)0x48988074, (q31_t)0x9693e3ab, + (q31_t)0x48935397, (q31_t)0x96905388, (q31_t)0x488e268e, (q31_t)0x968cc3a5, (q31_t)0x4888f957, (q31_t)0x96893404, + (q31_t)0x4883cbf4, (q31_t)0x9685a4a4, + (q31_t)0x487e9e64, (q31_t)0x96821585, (q31_t)0x487970a7, (q31_t)0x967e86a7, (q31_t)0x487442be, (q31_t)0x967af80a, + (q31_t)0x486f14a8, (q31_t)0x967769af, + (q31_t)0x4869e665, (q31_t)0x9673db94, (q31_t)0x4864b7f5, (q31_t)0x96704dba, (q31_t)0x485f8959, (q31_t)0x966cc022, + (q31_t)0x485a5a90, (q31_t)0x966932cb, + (q31_t)0x48552b9b, (q31_t)0x9665a5b4, (q31_t)0x484ffc79, (q31_t)0x966218df, (q31_t)0x484acd2a, (q31_t)0x965e8c4b, + (q31_t)0x48459daf, (q31_t)0x965afff9, + (q31_t)0x48406e08, (q31_t)0x965773e7, (q31_t)0x483b3e33, (q31_t)0x9653e817, (q31_t)0x48360e32, (q31_t)0x96505c88, + (q31_t)0x4830de05, (q31_t)0x964cd139, + (q31_t)0x482badab, (q31_t)0x9649462d, (q31_t)0x48267d24, (q31_t)0x9645bb61, (q31_t)0x48214c71, (q31_t)0x964230d7, + (q31_t)0x481c1b92, (q31_t)0x963ea68d, + (q31_t)0x4816ea86, (q31_t)0x963b1c86, (q31_t)0x4811b94d, (q31_t)0x963792bf, (q31_t)0x480c87e8, (q31_t)0x96340939, + (q31_t)0x48075657, (q31_t)0x96307ff5, + (q31_t)0x48022499, (q31_t)0x962cf6f2, (q31_t)0x47fcf2af, (q31_t)0x96296e31, (q31_t)0x47f7c099, (q31_t)0x9625e5b0, + (q31_t)0x47f28e56, (q31_t)0x96225d71, + (q31_t)0x47ed5be6, (q31_t)0x961ed574, (q31_t)0x47e8294a, (q31_t)0x961b4db7, (q31_t)0x47e2f682, (q31_t)0x9617c63c, + (q31_t)0x47ddc38e, (q31_t)0x96143f02, + (q31_t)0x47d8906d, (q31_t)0x9610b80a, (q31_t)0x47d35d20, (q31_t)0x960d3153, (q31_t)0x47ce29a7, (q31_t)0x9609aadd, + (q31_t)0x47c8f601, (q31_t)0x960624a9, + (q31_t)0x47c3c22f, (q31_t)0x96029eb6, (q31_t)0x47be8e31, (q31_t)0x95ff1904, (q31_t)0x47b95a06, (q31_t)0x95fb9394, + (q31_t)0x47b425af, (q31_t)0x95f80e65, + (q31_t)0x47aef12c, (q31_t)0x95f48977, (q31_t)0x47a9bc7d, (q31_t)0x95f104cb, (q31_t)0x47a487a2, (q31_t)0x95ed8061, + (q31_t)0x479f529a, (q31_t)0x95e9fc38, + (q31_t)0x479a1d67, (q31_t)0x95e67850, (q31_t)0x4794e807, (q31_t)0x95e2f4a9, (q31_t)0x478fb27b, (q31_t)0x95df7145, + (q31_t)0x478a7cc2, (q31_t)0x95dbee21, + (q31_t)0x478546de, (q31_t)0x95d86b3f, (q31_t)0x478010cd, (q31_t)0x95d4e89f, (q31_t)0x477ada91, (q31_t)0x95d16640, + (q31_t)0x4775a428, (q31_t)0x95cde423, + (q31_t)0x47706d93, (q31_t)0x95ca6247, (q31_t)0x476b36d3, (q31_t)0x95c6e0ac, (q31_t)0x4765ffe6, (q31_t)0x95c35f53, + (q31_t)0x4760c8cd, (q31_t)0x95bfde3c, + (q31_t)0x475b9188, (q31_t)0x95bc5d66, (q31_t)0x47565a17, (q31_t)0x95b8dcd2, (q31_t)0x4751227a, (q31_t)0x95b55c7f, + (q31_t)0x474beab1, (q31_t)0x95b1dc6e, + (q31_t)0x4746b2bc, (q31_t)0x95ae5c9f, (q31_t)0x47417a9b, (q31_t)0x95aadd11, (q31_t)0x473c424e, (q31_t)0x95a75dc4, + (q31_t)0x473709d5, (q31_t)0x95a3deb9, + (q31_t)0x4731d131, (q31_t)0x95a05ff0, (q31_t)0x472c9860, (q31_t)0x959ce169, (q31_t)0x47275f63, (q31_t)0x95996323, + (q31_t)0x4722263b, (q31_t)0x9595e51e, + (q31_t)0x471cece7, (q31_t)0x9592675c, (q31_t)0x4717b367, (q31_t)0x958ee9db, (q31_t)0x471279ba, (q31_t)0x958b6c9b, + (q31_t)0x470d3fe3, (q31_t)0x9587ef9e, + (q31_t)0x470805df, (q31_t)0x958472e2, (q31_t)0x4702cbaf, (q31_t)0x9580f667, (q31_t)0x46fd9154, (q31_t)0x957d7a2f, + (q31_t)0x46f856cd, (q31_t)0x9579fe38, + (q31_t)0x46f31c1a, (q31_t)0x95768283, (q31_t)0x46ede13b, (q31_t)0x9573070f, (q31_t)0x46e8a631, (q31_t)0x956f8bdd, + (q31_t)0x46e36afb, (q31_t)0x956c10ed, + (q31_t)0x46de2f99, (q31_t)0x9568963f, (q31_t)0x46d8f40b, (q31_t)0x95651bd2, (q31_t)0x46d3b852, (q31_t)0x9561a1a8, + (q31_t)0x46ce7c6d, (q31_t)0x955e27bf, + (q31_t)0x46c9405c, (q31_t)0x955aae17, (q31_t)0x46c40420, (q31_t)0x955734b2, (q31_t)0x46bec7b8, (q31_t)0x9553bb8e, + (q31_t)0x46b98b24, (q31_t)0x955042ac, + (q31_t)0x46b44e65, (q31_t)0x954cca0c, (q31_t)0x46af117a, (q31_t)0x954951ae, (q31_t)0x46a9d464, (q31_t)0x9545d992, + (q31_t)0x46a49722, (q31_t)0x954261b7, + (q31_t)0x469f59b4, (q31_t)0x953eea1e, (q31_t)0x469a1c1b, (q31_t)0x953b72c7, (q31_t)0x4694de56, (q31_t)0x9537fbb2, + (q31_t)0x468fa066, (q31_t)0x953484df, + (q31_t)0x468a624a, (q31_t)0x95310e4e, (q31_t)0x46852403, (q31_t)0x952d97fe, (q31_t)0x467fe590, (q31_t)0x952a21f1, + (q31_t)0x467aa6f2, (q31_t)0x9526ac25, + (q31_t)0x46756828, (q31_t)0x9523369c, (q31_t)0x46702933, (q31_t)0x951fc154, (q31_t)0x466aea12, (q31_t)0x951c4c4e, + (q31_t)0x4665aac6, (q31_t)0x9518d78a, + (q31_t)0x46606b4e, (q31_t)0x95156308, (q31_t)0x465b2bab, (q31_t)0x9511eec8, (q31_t)0x4655ebdd, (q31_t)0x950e7aca, + (q31_t)0x4650abe3, (q31_t)0x950b070e, + (q31_t)0x464b6bbe, (q31_t)0x95079394, (q31_t)0x46462b6d, (q31_t)0x9504205c, (q31_t)0x4640eaf2, (q31_t)0x9500ad66, + (q31_t)0x463baa4a, (q31_t)0x94fd3ab1, + (q31_t)0x46366978, (q31_t)0x94f9c83f, (q31_t)0x4631287a, (q31_t)0x94f6560f, (q31_t)0x462be751, (q31_t)0x94f2e421, + (q31_t)0x4626a5fd, (q31_t)0x94ef7275, + (q31_t)0x4621647d, (q31_t)0x94ec010b, (q31_t)0x461c22d2, (q31_t)0x94e88fe3, (q31_t)0x4616e0fc, (q31_t)0x94e51efd, + (q31_t)0x46119efa, (q31_t)0x94e1ae59, + (q31_t)0x460c5cce, (q31_t)0x94de3df8, (q31_t)0x46071a76, (q31_t)0x94dacdd8, (q31_t)0x4601d7f3, (q31_t)0x94d75dfa, + (q31_t)0x45fc9545, (q31_t)0x94d3ee5f, + (q31_t)0x45f7526b, (q31_t)0x94d07f05, (q31_t)0x45f20f67, (q31_t)0x94cd0fee, (q31_t)0x45eccc37, (q31_t)0x94c9a119, + (q31_t)0x45e788dc, (q31_t)0x94c63286, + (q31_t)0x45e24556, (q31_t)0x94c2c435, (q31_t)0x45dd01a5, (q31_t)0x94bf5627, (q31_t)0x45d7bdc9, (q31_t)0x94bbe85a, + (q31_t)0x45d279c2, (q31_t)0x94b87ad0, + (q31_t)0x45cd358f, (q31_t)0x94b50d87, (q31_t)0x45c7f132, (q31_t)0x94b1a081, (q31_t)0x45c2acaa, (q31_t)0x94ae33be, + (q31_t)0x45bd67f6, (q31_t)0x94aac73c, + (q31_t)0x45b82318, (q31_t)0x94a75afd, (q31_t)0x45b2de0e, (q31_t)0x94a3eeff, (q31_t)0x45ad98da, (q31_t)0x94a08344, + (q31_t)0x45a8537a, (q31_t)0x949d17cc, + (q31_t)0x45a30df0, (q31_t)0x9499ac95, (q31_t)0x459dc83b, (q31_t)0x949641a1, (q31_t)0x4598825a, (q31_t)0x9492d6ef, + (q31_t)0x45933c4f, (q31_t)0x948f6c7f, + (q31_t)0x458df619, (q31_t)0x948c0252, (q31_t)0x4588afb8, (q31_t)0x94889867, (q31_t)0x4583692c, (q31_t)0x94852ebe, + (q31_t)0x457e2275, (q31_t)0x9481c557, + (q31_t)0x4578db93, (q31_t)0x947e5c33, (q31_t)0x45739487, (q31_t)0x947af351, (q31_t)0x456e4d4f, (q31_t)0x94778ab1, + (q31_t)0x456905ed, (q31_t)0x94742254, + (q31_t)0x4563be60, (q31_t)0x9470ba39, (q31_t)0x455e76a8, (q31_t)0x946d5260, (q31_t)0x45592ec6, (q31_t)0x9469eaca, + (q31_t)0x4553e6b8, (q31_t)0x94668376, + (q31_t)0x454e9e80, (q31_t)0x94631c65, (q31_t)0x4549561d, (q31_t)0x945fb596, (q31_t)0x45440d90, (q31_t)0x945c4f09, + (q31_t)0x453ec4d7, (q31_t)0x9458e8bf, + (q31_t)0x45397bf4, (q31_t)0x945582b7, (q31_t)0x453432e6, (q31_t)0x94521cf1, (q31_t)0x452ee9ae, (q31_t)0x944eb76e, + (q31_t)0x4529a04b, (q31_t)0x944b522d, + (q31_t)0x452456bd, (q31_t)0x9447ed2f, (q31_t)0x451f0d04, (q31_t)0x94448873, (q31_t)0x4519c321, (q31_t)0x944123fa, + (q31_t)0x45147913, (q31_t)0x943dbfc3, + (q31_t)0x450f2edb, (q31_t)0x943a5bcf, (q31_t)0x4509e478, (q31_t)0x9436f81d, (q31_t)0x450499eb, (q31_t)0x943394ad, + (q31_t)0x44ff4f32, (q31_t)0x94303180, + (q31_t)0x44fa0450, (q31_t)0x942cce96, (q31_t)0x44f4b943, (q31_t)0x94296bee, (q31_t)0x44ef6e0b, (q31_t)0x94260989, + (q31_t)0x44ea22a9, (q31_t)0x9422a766, + (q31_t)0x44e4d71c, (q31_t)0x941f4585, (q31_t)0x44df8b64, (q31_t)0x941be3e8, (q31_t)0x44da3f83, (q31_t)0x9418828c, + (q31_t)0x44d4f376, (q31_t)0x94152174, + (q31_t)0x44cfa740, (q31_t)0x9411c09e, (q31_t)0x44ca5adf, (q31_t)0x940e600a, (q31_t)0x44c50e53, (q31_t)0x940affb9, + (q31_t)0x44bfc19d, (q31_t)0x94079fab, + (q31_t)0x44ba74bd, (q31_t)0x94043fdf, (q31_t)0x44b527b2, (q31_t)0x9400e056, (q31_t)0x44afda7d, (q31_t)0x93fd810f, + (q31_t)0x44aa8d1d, (q31_t)0x93fa220b, + (q31_t)0x44a53f93, (q31_t)0x93f6c34a, (q31_t)0x449ff1df, (q31_t)0x93f364cb, (q31_t)0x449aa400, (q31_t)0x93f0068f, + (q31_t)0x449555f7, (q31_t)0x93eca896, + (q31_t)0x449007c4, (q31_t)0x93e94adf, (q31_t)0x448ab967, (q31_t)0x93e5ed6b, (q31_t)0x44856adf, (q31_t)0x93e2903a, + (q31_t)0x44801c2d, (q31_t)0x93df334c, + (q31_t)0x447acd50, (q31_t)0x93dbd6a0, (q31_t)0x44757e4a, (q31_t)0x93d87a36, (q31_t)0x44702f19, (q31_t)0x93d51e10, + (q31_t)0x446adfbe, (q31_t)0x93d1c22c, + (q31_t)0x44659039, (q31_t)0x93ce668b, (q31_t)0x44604089, (q31_t)0x93cb0b2d, (q31_t)0x445af0b0, (q31_t)0x93c7b011, + (q31_t)0x4455a0ac, (q31_t)0x93c45539, + (q31_t)0x4450507e, (q31_t)0x93c0faa3, (q31_t)0x444b0026, (q31_t)0x93bda04f, (q31_t)0x4445afa4, (q31_t)0x93ba463f, + (q31_t)0x44405ef8, (q31_t)0x93b6ec71, + (q31_t)0x443b0e21, (q31_t)0x93b392e6, (q31_t)0x4435bd21, (q31_t)0x93b0399e, (q31_t)0x44306bf6, (q31_t)0x93ace099, + (q31_t)0x442b1aa2, (q31_t)0x93a987d6, + (q31_t)0x4425c923, (q31_t)0x93a62f57, (q31_t)0x4420777b, (q31_t)0x93a2d71a, (q31_t)0x441b25a8, (q31_t)0x939f7f20, + (q31_t)0x4415d3ab, (q31_t)0x939c2769, + (q31_t)0x44108184, (q31_t)0x9398cff5, (q31_t)0x440b2f34, (q31_t)0x939578c3, (q31_t)0x4405dcb9, (q31_t)0x939221d5, + (q31_t)0x44008a14, (q31_t)0x938ecb29, + (q31_t)0x43fb3746, (q31_t)0x938b74c1, (q31_t)0x43f5e44d, (q31_t)0x93881e9b, (q31_t)0x43f0912b, (q31_t)0x9384c8b8, + (q31_t)0x43eb3ddf, (q31_t)0x93817318, + (q31_t)0x43e5ea68, (q31_t)0x937e1dbb, (q31_t)0x43e096c8, (q31_t)0x937ac8a1, (q31_t)0x43db42fe, (q31_t)0x937773ca, + (q31_t)0x43d5ef0a, (q31_t)0x93741f35, + (q31_t)0x43d09aed, (q31_t)0x9370cae4, (q31_t)0x43cb46a5, (q31_t)0x936d76d6, (q31_t)0x43c5f234, (q31_t)0x936a230a, + (q31_t)0x43c09d99, (q31_t)0x9366cf82, + (q31_t)0x43bb48d4, (q31_t)0x93637c3d, (q31_t)0x43b5f3e5, (q31_t)0x9360293a, (q31_t)0x43b09ecc, (q31_t)0x935cd67b, + (q31_t)0x43ab498a, (q31_t)0x935983ff, + (q31_t)0x43a5f41e, (q31_t)0x935631c5, (q31_t)0x43a09e89, (q31_t)0x9352dfcf, (q31_t)0x439b48c9, (q31_t)0x934f8e1c, + (q31_t)0x4395f2e0, (q31_t)0x934c3cab, + (q31_t)0x43909ccd, (q31_t)0x9348eb7e, (q31_t)0x438b4691, (q31_t)0x93459a94, (q31_t)0x4385f02a, (q31_t)0x934249ed, + (q31_t)0x4380999b, (q31_t)0x933ef989, + (q31_t)0x437b42e1, (q31_t)0x933ba968, (q31_t)0x4375ebfe, (q31_t)0x9338598a, (q31_t)0x437094f1, (q31_t)0x933509f0, + (q31_t)0x436b3dbb, (q31_t)0x9331ba98, + (q31_t)0x4365e65b, (q31_t)0x932e6b84, (q31_t)0x43608ed2, (q31_t)0x932b1cb2, (q31_t)0x435b371f, (q31_t)0x9327ce24, + (q31_t)0x4355df42, (q31_t)0x93247fd9, + (q31_t)0x4350873c, (q31_t)0x932131d1, (q31_t)0x434b2f0c, (q31_t)0x931de40c, (q31_t)0x4345d6b3, (q31_t)0x931a968b, + (q31_t)0x43407e31, (q31_t)0x9317494c, + (q31_t)0x433b2585, (q31_t)0x9313fc51, (q31_t)0x4335ccaf, (q31_t)0x9310af99, (q31_t)0x433073b0, (q31_t)0x930d6324, + (q31_t)0x432b1a87, (q31_t)0x930a16f3, + (q31_t)0x4325c135, (q31_t)0x9306cb04, (q31_t)0x432067ba, (q31_t)0x93037f59, (q31_t)0x431b0e15, (q31_t)0x930033f1, + (q31_t)0x4315b447, (q31_t)0x92fce8cc, + (q31_t)0x43105a50, (q31_t)0x92f99deb, (q31_t)0x430b002f, (q31_t)0x92f6534c, (q31_t)0x4305a5e5, (q31_t)0x92f308f1, + (q31_t)0x43004b71, (q31_t)0x92efbeda, + (q31_t)0x42faf0d4, (q31_t)0x92ec7505, (q31_t)0x42f5960e, (q31_t)0x92e92b74, (q31_t)0x42f03b1e, (q31_t)0x92e5e226, + (q31_t)0x42eae005, (q31_t)0x92e2991c, + (q31_t)0x42e584c3, (q31_t)0x92df5054, (q31_t)0x42e02958, (q31_t)0x92dc07d0, (q31_t)0x42dacdc3, (q31_t)0x92d8bf90, + (q31_t)0x42d57205, (q31_t)0x92d57792, + (q31_t)0x42d0161e, (q31_t)0x92d22fd9, (q31_t)0x42caba0e, (q31_t)0x92cee862, (q31_t)0x42c55dd4, (q31_t)0x92cba12f, + (q31_t)0x42c00172, (q31_t)0x92c85a3f, + (q31_t)0x42baa4e6, (q31_t)0x92c51392, (q31_t)0x42b54831, (q31_t)0x92c1cd29, (q31_t)0x42afeb53, (q31_t)0x92be8703, + (q31_t)0x42aa8e4b, (q31_t)0x92bb4121, + (q31_t)0x42a5311b, (q31_t)0x92b7fb82, (q31_t)0x429fd3c1, (q31_t)0x92b4b626, (q31_t)0x429a763f, (q31_t)0x92b1710e, + (q31_t)0x42951893, (q31_t)0x92ae2c3a, + (q31_t)0x428fbabe, (q31_t)0x92aae7a8, (q31_t)0x428a5cc0, (q31_t)0x92a7a35a, (q31_t)0x4284fe99, (q31_t)0x92a45f50, + (q31_t)0x427fa049, (q31_t)0x92a11b89, + (q31_t)0x427a41d0, (q31_t)0x929dd806, (q31_t)0x4274e32e, (q31_t)0x929a94c6, (q31_t)0x426f8463, (q31_t)0x929751c9, + (q31_t)0x426a256f, (q31_t)0x92940f10, + (q31_t)0x4264c653, (q31_t)0x9290cc9b, (q31_t)0x425f670d, (q31_t)0x928d8a69, (q31_t)0x425a079e, (q31_t)0x928a487a, + (q31_t)0x4254a806, (q31_t)0x928706cf, + (q31_t)0x424f4845, (q31_t)0x9283c568, (q31_t)0x4249e85c, (q31_t)0x92808444, (q31_t)0x42448849, (q31_t)0x927d4363, + (q31_t)0x423f280e, (q31_t)0x927a02c7, + (q31_t)0x4239c7aa, (q31_t)0x9276c26d, (q31_t)0x4234671d, (q31_t)0x92738258, (q31_t)0x422f0667, (q31_t)0x92704286, + (q31_t)0x4229a588, (q31_t)0x926d02f7, + (q31_t)0x42244481, (q31_t)0x9269c3ac, (q31_t)0x421ee350, (q31_t)0x926684a5, (q31_t)0x421981f7, (q31_t)0x926345e1, + (q31_t)0x42142075, (q31_t)0x92600761, + (q31_t)0x420ebecb, (q31_t)0x925cc924, (q31_t)0x42095cf7, (q31_t)0x92598b2b, (q31_t)0x4203fafb, (q31_t)0x92564d76, + (q31_t)0x41fe98d6, (q31_t)0x92531005, + (q31_t)0x41f93689, (q31_t)0x924fd2d7, (q31_t)0x41f3d413, (q31_t)0x924c95ec, (q31_t)0x41ee7174, (q31_t)0x92495946, + (q31_t)0x41e90eac, (q31_t)0x92461ce3, + (q31_t)0x41e3abbc, (q31_t)0x9242e0c4, (q31_t)0x41de48a3, (q31_t)0x923fa4e8, (q31_t)0x41d8e561, (q31_t)0x923c6950, + (q31_t)0x41d381f7, (q31_t)0x92392dfc, + (q31_t)0x41ce1e65, (q31_t)0x9235f2ec, (q31_t)0x41c8baa9, (q31_t)0x9232b81f, (q31_t)0x41c356c5, (q31_t)0x922f7d96, + (q31_t)0x41bdf2b9, (q31_t)0x922c4351, + (q31_t)0x41b88e84, (q31_t)0x9229094f, (q31_t)0x41b32a26, (q31_t)0x9225cf91, (q31_t)0x41adc5a0, (q31_t)0x92229617, + (q31_t)0x41a860f1, (q31_t)0x921f5ce1, + (q31_t)0x41a2fc1a, (q31_t)0x921c23ef, (q31_t)0x419d971b, (q31_t)0x9218eb40, (q31_t)0x419831f3, (q31_t)0x9215b2d5, + (q31_t)0x4192cca2, (q31_t)0x92127aae, + (q31_t)0x418d6729, (q31_t)0x920f42cb, (q31_t)0x41880188, (q31_t)0x920c0b2c, (q31_t)0x41829bbe, (q31_t)0x9208d3d0, + (q31_t)0x417d35cb, (q31_t)0x92059cb8, + (q31_t)0x4177cfb1, (q31_t)0x920265e4, (q31_t)0x4172696e, (q31_t)0x91ff2f54, (q31_t)0x416d0302, (q31_t)0x91fbf908, + (q31_t)0x41679c6f, (q31_t)0x91f8c300, + (q31_t)0x416235b2, (q31_t)0x91f58d3b, (q31_t)0x415ccece, (q31_t)0x91f257bb, (q31_t)0x415767c1, (q31_t)0x91ef227e, + (q31_t)0x4152008c, (q31_t)0x91ebed85, + (q31_t)0x414c992f, (q31_t)0x91e8b8d0, (q31_t)0x414731a9, (q31_t)0x91e5845f, (q31_t)0x4141c9fb, (q31_t)0x91e25032, + (q31_t)0x413c6225, (q31_t)0x91df1c49, + (q31_t)0x4136fa27, (q31_t)0x91dbe8a4, (q31_t)0x41319200, (q31_t)0x91d8b542, (q31_t)0x412c29b1, (q31_t)0x91d58225, + (q31_t)0x4126c13a, (q31_t)0x91d24f4c, + (q31_t)0x4121589b, (q31_t)0x91cf1cb6, (q31_t)0x411befd3, (q31_t)0x91cbea65, (q31_t)0x411686e4, (q31_t)0x91c8b857, + (q31_t)0x41111dcc, (q31_t)0x91c5868e, + (q31_t)0x410bb48c, (q31_t)0x91c25508, (q31_t)0x41064b24, (q31_t)0x91bf23c7, (q31_t)0x4100e194, (q31_t)0x91bbf2c9, + (q31_t)0x40fb77dc, (q31_t)0x91b8c210, + (q31_t)0x40f60dfb, (q31_t)0x91b5919a, (q31_t)0x40f0a3f3, (q31_t)0x91b26169, (q31_t)0x40eb39c3, (q31_t)0x91af317c, + (q31_t)0x40e5cf6a, (q31_t)0x91ac01d2, + (q31_t)0x40e064ea, (q31_t)0x91a8d26d, (q31_t)0x40dafa41, (q31_t)0x91a5a34c, (q31_t)0x40d58f71, (q31_t)0x91a2746f, + (q31_t)0x40d02478, (q31_t)0x919f45d6, + (q31_t)0x40cab958, (q31_t)0x919c1781, (q31_t)0x40c54e0f, (q31_t)0x9198e970, (q31_t)0x40bfe29f, (q31_t)0x9195bba3, + (q31_t)0x40ba7706, (q31_t)0x91928e1a, + (q31_t)0x40b50b46, (q31_t)0x918f60d6, (q31_t)0x40af9f5e, (q31_t)0x918c33d5, (q31_t)0x40aa334e, (q31_t)0x91890719, + (q31_t)0x40a4c716, (q31_t)0x9185daa1, + (q31_t)0x409f5ab6, (q31_t)0x9182ae6d, (q31_t)0x4099ee2e, (q31_t)0x917f827d, (q31_t)0x4094817f, (q31_t)0x917c56d1, + (q31_t)0x408f14a7, (q31_t)0x91792b6a, + (q31_t)0x4089a7a8, (q31_t)0x91760047, (q31_t)0x40843a81, (q31_t)0x9172d567, (q31_t)0x407ecd32, (q31_t)0x916faacc, + (q31_t)0x40795fbc, (q31_t)0x916c8076, + (q31_t)0x4073f21d, (q31_t)0x91695663, (q31_t)0x406e8457, (q31_t)0x91662c95, (q31_t)0x40691669, (q31_t)0x9163030b, + (q31_t)0x4063a854, (q31_t)0x915fd9c5, + (q31_t)0x405e3a16, (q31_t)0x915cb0c3, (q31_t)0x4058cbb1, (q31_t)0x91598806, (q31_t)0x40535d24, (q31_t)0x91565f8d, + (q31_t)0x404dee70, (q31_t)0x91533758, + (q31_t)0x40487f94, (q31_t)0x91500f67, (q31_t)0x40431090, (q31_t)0x914ce7bb, (q31_t)0x403da165, (q31_t)0x9149c053, + (q31_t)0x40383212, (q31_t)0x9146992f, + (q31_t)0x4032c297, (q31_t)0x91437250, (q31_t)0x402d52f5, (q31_t)0x91404bb5, (q31_t)0x4027e32b, (q31_t)0x913d255e, + (q31_t)0x4022733a, (q31_t)0x9139ff4b, + (q31_t)0x401d0321, (q31_t)0x9136d97d, (q31_t)0x401792e0, (q31_t)0x9133b3f3, (q31_t)0x40122278, (q31_t)0x91308eae, + (q31_t)0x400cb1e9, (q31_t)0x912d69ad, + (q31_t)0x40074132, (q31_t)0x912a44f0, (q31_t)0x4001d053, (q31_t)0x91272078, (q31_t)0x3ffc5f4d, (q31_t)0x9123fc44, + (q31_t)0x3ff6ee1f, (q31_t)0x9120d854, + (q31_t)0x3ff17cca, (q31_t)0x911db4a9, (q31_t)0x3fec0b4e, (q31_t)0x911a9142, (q31_t)0x3fe699aa, (q31_t)0x91176e1f, + (q31_t)0x3fe127df, (q31_t)0x91144b41, + (q31_t)0x3fdbb5ec, (q31_t)0x911128a8, (q31_t)0x3fd643d2, (q31_t)0x910e0653, (q31_t)0x3fd0d191, (q31_t)0x910ae442, + (q31_t)0x3fcb5f28, (q31_t)0x9107c276, + (q31_t)0x3fc5ec98, (q31_t)0x9104a0ee, (q31_t)0x3fc079e0, (q31_t)0x91017faa, (q31_t)0x3fbb0702, (q31_t)0x90fe5eab, + (q31_t)0x3fb593fb, (q31_t)0x90fb3df1, + (q31_t)0x3fb020ce, (q31_t)0x90f81d7b, (q31_t)0x3faaad79, (q31_t)0x90f4fd4a, (q31_t)0x3fa539fd, (q31_t)0x90f1dd5d, + (q31_t)0x3f9fc65a, (q31_t)0x90eebdb4, + (q31_t)0x3f9a5290, (q31_t)0x90eb9e50, (q31_t)0x3f94de9e, (q31_t)0x90e87f31, (q31_t)0x3f8f6a85, (q31_t)0x90e56056, + (q31_t)0x3f89f645, (q31_t)0x90e241bf, + (q31_t)0x3f8481dd, (q31_t)0x90df236e, (q31_t)0x3f7f0d4f, (q31_t)0x90dc0560, (q31_t)0x3f799899, (q31_t)0x90d8e798, + (q31_t)0x3f7423bc, (q31_t)0x90d5ca13, + (q31_t)0x3f6eaeb8, (q31_t)0x90d2acd4, (q31_t)0x3f69398d, (q31_t)0x90cf8fd9, (q31_t)0x3f63c43b, (q31_t)0x90cc7322, + (q31_t)0x3f5e4ec2, (q31_t)0x90c956b1, + (q31_t)0x3f58d921, (q31_t)0x90c63a83, (q31_t)0x3f53635a, (q31_t)0x90c31e9b, (q31_t)0x3f4ded6b, (q31_t)0x90c002f7, + (q31_t)0x3f487755, (q31_t)0x90bce797, + (q31_t)0x3f430119, (q31_t)0x90b9cc7d, (q31_t)0x3f3d8ab5, (q31_t)0x90b6b1a6, (q31_t)0x3f38142a, (q31_t)0x90b39715, + (q31_t)0x3f329d79, (q31_t)0x90b07cc8, + (q31_t)0x3f2d26a0, (q31_t)0x90ad62c0, (q31_t)0x3f27afa1, (q31_t)0x90aa48fd, (q31_t)0x3f22387a, (q31_t)0x90a72f7e, + (q31_t)0x3f1cc12c, (q31_t)0x90a41644, + (q31_t)0x3f1749b8, (q31_t)0x90a0fd4e, (q31_t)0x3f11d21d, (q31_t)0x909de49e, (q31_t)0x3f0c5a5a, (q31_t)0x909acc32, + (q31_t)0x3f06e271, (q31_t)0x9097b40a, + (q31_t)0x3f016a61, (q31_t)0x90949c28, (q31_t)0x3efbf22a, (q31_t)0x9091848a, (q31_t)0x3ef679cc, (q31_t)0x908e6d31, + (q31_t)0x3ef10148, (q31_t)0x908b561c, + (q31_t)0x3eeb889c, (q31_t)0x90883f4d, (q31_t)0x3ee60fca, (q31_t)0x908528c2, (q31_t)0x3ee096d1, (q31_t)0x9082127c, + (q31_t)0x3edb1db1, (q31_t)0x907efc7a, + (q31_t)0x3ed5a46b, (q31_t)0x907be6be, (q31_t)0x3ed02afd, (q31_t)0x9078d146, (q31_t)0x3ecab169, (q31_t)0x9075bc13, + (q31_t)0x3ec537ae, (q31_t)0x9072a725, + (q31_t)0x3ebfbdcd, (q31_t)0x906f927c, (q31_t)0x3eba43c4, (q31_t)0x906c7e17, (q31_t)0x3eb4c995, (q31_t)0x906969f8, + (q31_t)0x3eaf4f40, (q31_t)0x9066561d, + (q31_t)0x3ea9d4c3, (q31_t)0x90634287, (q31_t)0x3ea45a21, (q31_t)0x90602f35, (q31_t)0x3e9edf57, (q31_t)0x905d1c29, + (q31_t)0x3e996467, (q31_t)0x905a0962, + (q31_t)0x3e93e950, (q31_t)0x9056f6df, (q31_t)0x3e8e6e12, (q31_t)0x9053e4a1, (q31_t)0x3e88f2ae, (q31_t)0x9050d2a9, + (q31_t)0x3e837724, (q31_t)0x904dc0f5, + (q31_t)0x3e7dfb73, (q31_t)0x904aaf86, (q31_t)0x3e787f9b, (q31_t)0x90479e5c, (q31_t)0x3e73039d, (q31_t)0x90448d76, + (q31_t)0x3e6d8778, (q31_t)0x90417cd6, + (q31_t)0x3e680b2c, (q31_t)0x903e6c7b, (q31_t)0x3e628ebb, (q31_t)0x903b5c64, (q31_t)0x3e5d1222, (q31_t)0x90384c93, + (q31_t)0x3e579564, (q31_t)0x90353d06, + (q31_t)0x3e52187f, (q31_t)0x90322dbf, (q31_t)0x3e4c9b73, (q31_t)0x902f1ebc, (q31_t)0x3e471e41, (q31_t)0x902c0fff, + (q31_t)0x3e41a0e8, (q31_t)0x90290186, + (q31_t)0x3e3c2369, (q31_t)0x9025f352, (q31_t)0x3e36a5c4, (q31_t)0x9022e564, (q31_t)0x3e3127f9, (q31_t)0x901fd7ba, + (q31_t)0x3e2baa07, (q31_t)0x901cca55, + (q31_t)0x3e262bee, (q31_t)0x9019bd36, (q31_t)0x3e20adaf, (q31_t)0x9016b05b, (q31_t)0x3e1b2f4a, (q31_t)0x9013a3c5, + (q31_t)0x3e15b0bf, (q31_t)0x90109775, + (q31_t)0x3e10320d, (q31_t)0x900d8b69, (q31_t)0x3e0ab336, (q31_t)0x900a7fa3, (q31_t)0x3e053437, (q31_t)0x90077422, + (q31_t)0x3dffb513, (q31_t)0x900468e5, + (q31_t)0x3dfa35c8, (q31_t)0x90015dee, (q31_t)0x3df4b657, (q31_t)0x8ffe533c, (q31_t)0x3def36c0, (q31_t)0x8ffb48cf, + (q31_t)0x3de9b703, (q31_t)0x8ff83ea7, + (q31_t)0x3de4371f, (q31_t)0x8ff534c4, (q31_t)0x3ddeb716, (q31_t)0x8ff22b26, (q31_t)0x3dd936e6, (q31_t)0x8fef21ce, + (q31_t)0x3dd3b690, (q31_t)0x8fec18ba, + (q31_t)0x3dce3614, (q31_t)0x8fe90fec, (q31_t)0x3dc8b571, (q31_t)0x8fe60763, (q31_t)0x3dc334a9, (q31_t)0x8fe2ff1f, + (q31_t)0x3dbdb3ba, (q31_t)0x8fdff720, + (q31_t)0x3db832a6, (q31_t)0x8fdcef66, (q31_t)0x3db2b16b, (q31_t)0x8fd9e7f2, (q31_t)0x3dad300b, (q31_t)0x8fd6e0c2, + (q31_t)0x3da7ae84, (q31_t)0x8fd3d9d8, + (q31_t)0x3da22cd7, (q31_t)0x8fd0d333, (q31_t)0x3d9cab04, (q31_t)0x8fcdccd3, (q31_t)0x3d97290b, (q31_t)0x8fcac6b9, + (q31_t)0x3d91a6ed, (q31_t)0x8fc7c0e3, + (q31_t)0x3d8c24a8, (q31_t)0x8fc4bb53, (q31_t)0x3d86a23d, (q31_t)0x8fc1b608, (q31_t)0x3d811fac, (q31_t)0x8fbeb103, + (q31_t)0x3d7b9cf6, (q31_t)0x8fbbac42, + (q31_t)0x3d761a19, (q31_t)0x8fb8a7c7, (q31_t)0x3d709717, (q31_t)0x8fb5a391, (q31_t)0x3d6b13ee, (q31_t)0x8fb29fa0, + (q31_t)0x3d6590a0, (q31_t)0x8faf9bf5, + (q31_t)0x3d600d2c, (q31_t)0x8fac988f, (q31_t)0x3d5a8992, (q31_t)0x8fa9956e, (q31_t)0x3d5505d2, (q31_t)0x8fa69293, + (q31_t)0x3d4f81ec, (q31_t)0x8fa38ffc, + (q31_t)0x3d49fde1, (q31_t)0x8fa08dab, (q31_t)0x3d4479b0, (q31_t)0x8f9d8ba0, (q31_t)0x3d3ef559, (q31_t)0x8f9a89da, + (q31_t)0x3d3970dc, (q31_t)0x8f978859, + (q31_t)0x3d33ec39, (q31_t)0x8f94871d, (q31_t)0x3d2e6771, (q31_t)0x8f918627, (q31_t)0x3d28e282, (q31_t)0x8f8e8576, + (q31_t)0x3d235d6f, (q31_t)0x8f8b850a, + (q31_t)0x3d1dd835, (q31_t)0x8f8884e4, (q31_t)0x3d1852d6, (q31_t)0x8f858503, (q31_t)0x3d12cd51, (q31_t)0x8f828568, + (q31_t)0x3d0d47a6, (q31_t)0x8f7f8612, + (q31_t)0x3d07c1d6, (q31_t)0x8f7c8701, (q31_t)0x3d023be0, (q31_t)0x8f798836, (q31_t)0x3cfcb5c4, (q31_t)0x8f7689b0, + (q31_t)0x3cf72f83, (q31_t)0x8f738b70, + (q31_t)0x3cf1a91c, (q31_t)0x8f708d75, (q31_t)0x3cec2290, (q31_t)0x8f6d8fbf, (q31_t)0x3ce69bde, (q31_t)0x8f6a924f, + (q31_t)0x3ce11507, (q31_t)0x8f679525, + (q31_t)0x3cdb8e09, (q31_t)0x8f649840, (q31_t)0x3cd606e7, (q31_t)0x8f619ba0, (q31_t)0x3cd07f9f, (q31_t)0x8f5e9f46, + (q31_t)0x3ccaf831, (q31_t)0x8f5ba331, + (q31_t)0x3cc5709e, (q31_t)0x8f58a761, (q31_t)0x3cbfe8e5, (q31_t)0x8f55abd8, (q31_t)0x3cba6107, (q31_t)0x8f52b093, + (q31_t)0x3cb4d904, (q31_t)0x8f4fb595, + (q31_t)0x3caf50da, (q31_t)0x8f4cbadb, (q31_t)0x3ca9c88c, (q31_t)0x8f49c067, (q31_t)0x3ca44018, (q31_t)0x8f46c639, + (q31_t)0x3c9eb77f, (q31_t)0x8f43cc50, + (q31_t)0x3c992ec0, (q31_t)0x8f40d2ad, (q31_t)0x3c93a5dc, (q31_t)0x8f3dd950, (q31_t)0x3c8e1cd3, (q31_t)0x8f3ae038, + (q31_t)0x3c8893a4, (q31_t)0x8f37e765, + (q31_t)0x3c830a50, (q31_t)0x8f34eed8, (q31_t)0x3c7d80d6, (q31_t)0x8f31f691, (q31_t)0x3c77f737, (q31_t)0x8f2efe8f, + (q31_t)0x3c726d73, (q31_t)0x8f2c06d3, + (q31_t)0x3c6ce38a, (q31_t)0x8f290f5c, (q31_t)0x3c67597b, (q31_t)0x8f26182b, (q31_t)0x3c61cf48, (q31_t)0x8f232140, + (q31_t)0x3c5c44ee, (q31_t)0x8f202a9a, + (q31_t)0x3c56ba70, (q31_t)0x8f1d343a, (q31_t)0x3c512fcc, (q31_t)0x8f1a3e1f, (q31_t)0x3c4ba504, (q31_t)0x8f17484b, + (q31_t)0x3c461a16, (q31_t)0x8f1452bb, + (q31_t)0x3c408f03, (q31_t)0x8f115d72, (q31_t)0x3c3b03ca, (q31_t)0x8f0e686e, (q31_t)0x3c35786d, (q31_t)0x8f0b73b0, + (q31_t)0x3c2fecea, (q31_t)0x8f087f37, + (q31_t)0x3c2a6142, (q31_t)0x8f058b04, (q31_t)0x3c24d575, (q31_t)0x8f029717, (q31_t)0x3c1f4983, (q31_t)0x8effa370, + (q31_t)0x3c19bd6c, (q31_t)0x8efcb00e, + (q31_t)0x3c143130, (q31_t)0x8ef9bcf2, (q31_t)0x3c0ea4cf, (q31_t)0x8ef6ca1c, (q31_t)0x3c091849, (q31_t)0x8ef3d78b, + (q31_t)0x3c038b9e, (q31_t)0x8ef0e540, + (q31_t)0x3bfdfecd, (q31_t)0x8eedf33b, (q31_t)0x3bf871d8, (q31_t)0x8eeb017c, (q31_t)0x3bf2e4be, (q31_t)0x8ee81002, + (q31_t)0x3bed577e, (q31_t)0x8ee51ece, + (q31_t)0x3be7ca1a, (q31_t)0x8ee22de0, (q31_t)0x3be23c91, (q31_t)0x8edf3d38, (q31_t)0x3bdcaee3, (q31_t)0x8edc4cd5, + (q31_t)0x3bd72110, (q31_t)0x8ed95cb8, + (q31_t)0x3bd19318, (q31_t)0x8ed66ce1, (q31_t)0x3bcc04fb, (q31_t)0x8ed37d50, (q31_t)0x3bc676b9, (q31_t)0x8ed08e05, + (q31_t)0x3bc0e853, (q31_t)0x8ecd9eff, + (q31_t)0x3bbb59c7, (q31_t)0x8ecab040, (q31_t)0x3bb5cb17, (q31_t)0x8ec7c1c6, (q31_t)0x3bb03c42, (q31_t)0x8ec4d392, + (q31_t)0x3baaad48, (q31_t)0x8ec1e5a4, + (q31_t)0x3ba51e29, (q31_t)0x8ebef7fb, (q31_t)0x3b9f8ee5, (q31_t)0x8ebc0a99, (q31_t)0x3b99ff7d, (q31_t)0x8eb91d7c, + (q31_t)0x3b946ff0, (q31_t)0x8eb630a6, + (q31_t)0x3b8ee03e, (q31_t)0x8eb34415, (q31_t)0x3b895068, (q31_t)0x8eb057ca, (q31_t)0x3b83c06c, (q31_t)0x8ead6bc5, + (q31_t)0x3b7e304c, (q31_t)0x8eaa8006, + (q31_t)0x3b78a007, (q31_t)0x8ea7948c, (q31_t)0x3b730f9e, (q31_t)0x8ea4a959, (q31_t)0x3b6d7f10, (q31_t)0x8ea1be6c, + (q31_t)0x3b67ee5d, (q31_t)0x8e9ed3c4, + (q31_t)0x3b625d86, (q31_t)0x8e9be963, (q31_t)0x3b5ccc8a, (q31_t)0x8e98ff47, (q31_t)0x3b573b69, (q31_t)0x8e961571, + (q31_t)0x3b51aa24, (q31_t)0x8e932be2, + (q31_t)0x3b4c18ba, (q31_t)0x8e904298, (q31_t)0x3b46872c, (q31_t)0x8e8d5994, (q31_t)0x3b40f579, (q31_t)0x8e8a70d7, + (q31_t)0x3b3b63a1, (q31_t)0x8e87885f, + (q31_t)0x3b35d1a5, (q31_t)0x8e84a02d, (q31_t)0x3b303f84, (q31_t)0x8e81b841, (q31_t)0x3b2aad3f, (q31_t)0x8e7ed09b, + (q31_t)0x3b251ad6, (q31_t)0x8e7be93c, + (q31_t)0x3b1f8848, (q31_t)0x8e790222, (q31_t)0x3b19f595, (q31_t)0x8e761b4e, (q31_t)0x3b1462be, (q31_t)0x8e7334c1, + (q31_t)0x3b0ecfc3, (q31_t)0x8e704e79, + (q31_t)0x3b093ca3, (q31_t)0x8e6d6877, (q31_t)0x3b03a95e, (q31_t)0x8e6a82bc, (q31_t)0x3afe15f6, (q31_t)0x8e679d47, + (q31_t)0x3af88269, (q31_t)0x8e64b817, + (q31_t)0x3af2eeb7, (q31_t)0x8e61d32e, (q31_t)0x3aed5ae1, (q31_t)0x8e5eee8b, (q31_t)0x3ae7c6e7, (q31_t)0x8e5c0a2e, + (q31_t)0x3ae232c9, (q31_t)0x8e592617, + (q31_t)0x3adc9e86, (q31_t)0x8e564246, (q31_t)0x3ad70a1f, (q31_t)0x8e535ebb, (q31_t)0x3ad17593, (q31_t)0x8e507b76, + (q31_t)0x3acbe0e3, (q31_t)0x8e4d9878, + (q31_t)0x3ac64c0f, (q31_t)0x8e4ab5bf, (q31_t)0x3ac0b717, (q31_t)0x8e47d34d, (q31_t)0x3abb21fb, (q31_t)0x8e44f121, + (q31_t)0x3ab58cba, (q31_t)0x8e420f3b, + (q31_t)0x3aaff755, (q31_t)0x8e3f2d9b, (q31_t)0x3aaa61cc, (q31_t)0x8e3c4c41, (q31_t)0x3aa4cc1e, (q31_t)0x8e396b2e, + (q31_t)0x3a9f364d, (q31_t)0x8e368a61, + (q31_t)0x3a99a057, (q31_t)0x8e33a9da, (q31_t)0x3a940a3e, (q31_t)0x8e30c999, (q31_t)0x3a8e7400, (q31_t)0x8e2de99e, + (q31_t)0x3a88dd9d, (q31_t)0x8e2b09e9, + (q31_t)0x3a834717, (q31_t)0x8e282a7b, (q31_t)0x3a7db06d, (q31_t)0x8e254b53, (q31_t)0x3a78199f, (q31_t)0x8e226c71, + (q31_t)0x3a7282ac, (q31_t)0x8e1f8dd6, + (q31_t)0x3a6ceb96, (q31_t)0x8e1caf80, (q31_t)0x3a67545b, (q31_t)0x8e19d171, (q31_t)0x3a61bcfd, (q31_t)0x8e16f3a9, + (q31_t)0x3a5c257a, (q31_t)0x8e141626, + (q31_t)0x3a568dd4, (q31_t)0x8e1138ea, (q31_t)0x3a50f609, (q31_t)0x8e0e5bf4, (q31_t)0x3a4b5e1b, (q31_t)0x8e0b7f44, + (q31_t)0x3a45c608, (q31_t)0x8e08a2db, + (q31_t)0x3a402dd2, (q31_t)0x8e05c6b7, (q31_t)0x3a3a9577, (q31_t)0x8e02eadb, (q31_t)0x3a34fcf9, (q31_t)0x8e000f44, + (q31_t)0x3a2f6457, (q31_t)0x8dfd33f4, + (q31_t)0x3a29cb91, (q31_t)0x8dfa58ea, (q31_t)0x3a2432a7, (q31_t)0x8df77e27, (q31_t)0x3a1e9999, (q31_t)0x8df4a3a9, + (q31_t)0x3a190068, (q31_t)0x8df1c973, + (q31_t)0x3a136712, (q31_t)0x8deeef82, (q31_t)0x3a0dcd99, (q31_t)0x8dec15d8, (q31_t)0x3a0833fc, (q31_t)0x8de93c74, + (q31_t)0x3a029a3b, (q31_t)0x8de66357, + (q31_t)0x39fd0056, (q31_t)0x8de38a80, (q31_t)0x39f7664e, (q31_t)0x8de0b1ef, (q31_t)0x39f1cc21, (q31_t)0x8dddd9a5, + (q31_t)0x39ec31d1, (q31_t)0x8ddb01a1, + (q31_t)0x39e6975e, (q31_t)0x8dd829e4, (q31_t)0x39e0fcc6, (q31_t)0x8dd5526d, (q31_t)0x39db620b, (q31_t)0x8dd27b3c, + (q31_t)0x39d5c72c, (q31_t)0x8dcfa452, + (q31_t)0x39d02c2a, (q31_t)0x8dcccdaf, (q31_t)0x39ca9104, (q31_t)0x8dc9f751, (q31_t)0x39c4f5ba, (q31_t)0x8dc7213b, + (q31_t)0x39bf5a4d, (q31_t)0x8dc44b6a, + (q31_t)0x39b9bebc, (q31_t)0x8dc175e0, (q31_t)0x39b42307, (q31_t)0x8dbea09d, (q31_t)0x39ae872f, (q31_t)0x8dbbcba0, + (q31_t)0x39a8eb33, (q31_t)0x8db8f6ea, + (q31_t)0x39a34f13, (q31_t)0x8db6227a, (q31_t)0x399db2d0, (q31_t)0x8db34e50, (q31_t)0x3998166a, (q31_t)0x8db07a6d, + (q31_t)0x399279e0, (q31_t)0x8dada6d1, + (q31_t)0x398cdd32, (q31_t)0x8daad37b, (q31_t)0x39874061, (q31_t)0x8da8006c, (q31_t)0x3981a36d, (q31_t)0x8da52da3, + (q31_t)0x397c0655, (q31_t)0x8da25b21, + (q31_t)0x39766919, (q31_t)0x8d9f88e5, (q31_t)0x3970cbba, (q31_t)0x8d9cb6f0, (q31_t)0x396b2e38, (q31_t)0x8d99e541, + (q31_t)0x39659092, (q31_t)0x8d9713d9, + (q31_t)0x395ff2c9, (q31_t)0x8d9442b8, (q31_t)0x395a54dd, (q31_t)0x8d9171dd, (q31_t)0x3954b6cd, (q31_t)0x8d8ea148, + (q31_t)0x394f1899, (q31_t)0x8d8bd0fb, + (q31_t)0x39497a43, (q31_t)0x8d8900f3, (q31_t)0x3943dbc9, (q31_t)0x8d863133, (q31_t)0x393e3d2c, (q31_t)0x8d8361b9, + (q31_t)0x39389e6b, (q31_t)0x8d809286, + (q31_t)0x3932ff87, (q31_t)0x8d7dc399, (q31_t)0x392d6080, (q31_t)0x8d7af4f3, (q31_t)0x3927c155, (q31_t)0x8d782694, + (q31_t)0x39222208, (q31_t)0x8d75587b, + (q31_t)0x391c8297, (q31_t)0x8d728aa9, (q31_t)0x3916e303, (q31_t)0x8d6fbd1d, (q31_t)0x3911434b, (q31_t)0x8d6cefd9, + (q31_t)0x390ba371, (q31_t)0x8d6a22db, + (q31_t)0x39060373, (q31_t)0x8d675623, (q31_t)0x39006352, (q31_t)0x8d6489b3, (q31_t)0x38fac30e, (q31_t)0x8d61bd89, + (q31_t)0x38f522a6, (q31_t)0x8d5ef1a5, + (q31_t)0x38ef821c, (q31_t)0x8d5c2609, (q31_t)0x38e9e16e, (q31_t)0x8d595ab3, (q31_t)0x38e4409e, (q31_t)0x8d568fa4, + (q31_t)0x38de9faa, (q31_t)0x8d53c4db, + (q31_t)0x38d8fe93, (q31_t)0x8d50fa59, (q31_t)0x38d35d59, (q31_t)0x8d4e301f, (q31_t)0x38cdbbfc, (q31_t)0x8d4b662a, + (q31_t)0x38c81a7c, (q31_t)0x8d489c7d, + (q31_t)0x38c278d9, (q31_t)0x8d45d316, (q31_t)0x38bcd713, (q31_t)0x8d4309f6, (q31_t)0x38b7352a, (q31_t)0x8d40411d, + (q31_t)0x38b1931e, (q31_t)0x8d3d788b, + (q31_t)0x38abf0ef, (q31_t)0x8d3ab03f, (q31_t)0x38a64e9d, (q31_t)0x8d37e83a, (q31_t)0x38a0ac29, (q31_t)0x8d35207d, + (q31_t)0x389b0991, (q31_t)0x8d325905, + (q31_t)0x389566d6, (q31_t)0x8d2f91d5, (q31_t)0x388fc3f8, (q31_t)0x8d2ccaec, (q31_t)0x388a20f8, (q31_t)0x8d2a0449, + (q31_t)0x38847dd5, (q31_t)0x8d273ded, + (q31_t)0x387eda8e, (q31_t)0x8d2477d8, (q31_t)0x38793725, (q31_t)0x8d21b20a, (q31_t)0x38739399, (q31_t)0x8d1eec83, + (q31_t)0x386defeb, (q31_t)0x8d1c2742, + (q31_t)0x38684c19, (q31_t)0x8d196249, (q31_t)0x3862a825, (q31_t)0x8d169d96, (q31_t)0x385d040d, (q31_t)0x8d13d92a, + (q31_t)0x38575fd4, (q31_t)0x8d111505, + (q31_t)0x3851bb77, (q31_t)0x8d0e5127, (q31_t)0x384c16f7, (q31_t)0x8d0b8d90, (q31_t)0x38467255, (q31_t)0x8d08ca40, + (q31_t)0x3840cd90, (q31_t)0x8d060737, + (q31_t)0x383b28a9, (q31_t)0x8d034474, (q31_t)0x3835839f, (q31_t)0x8d0081f9, (q31_t)0x382fde72, (q31_t)0x8cfdbfc4, + (q31_t)0x382a3922, (q31_t)0x8cfafdd7, + (q31_t)0x382493b0, (q31_t)0x8cf83c30, (q31_t)0x381eee1b, (q31_t)0x8cf57ad0, (q31_t)0x38194864, (q31_t)0x8cf2b9b8, + (q31_t)0x3813a28a, (q31_t)0x8ceff8e6, + (q31_t)0x380dfc8d, (q31_t)0x8ced385b, (q31_t)0x3808566e, (q31_t)0x8cea7818, (q31_t)0x3802b02c, (q31_t)0x8ce7b81b, + (q31_t)0x37fd09c8, (q31_t)0x8ce4f865, + (q31_t)0x37f76341, (q31_t)0x8ce238f6, (q31_t)0x37f1bc97, (q31_t)0x8cdf79ce, (q31_t)0x37ec15cb, (q31_t)0x8cdcbaee, + (q31_t)0x37e66edd, (q31_t)0x8cd9fc54, + (q31_t)0x37e0c7cc, (q31_t)0x8cd73e01, (q31_t)0x37db2099, (q31_t)0x8cd47ff6, (q31_t)0x37d57943, (q31_t)0x8cd1c231, + (q31_t)0x37cfd1cb, (q31_t)0x8ccf04b3, + (q31_t)0x37ca2a30, (q31_t)0x8ccc477d, (q31_t)0x37c48273, (q31_t)0x8cc98a8e, (q31_t)0x37beda93, (q31_t)0x8cc6cde5, + (q31_t)0x37b93292, (q31_t)0x8cc41184, + (q31_t)0x37b38a6d, (q31_t)0x8cc1556a, (q31_t)0x37ade227, (q31_t)0x8cbe9996, (q31_t)0x37a839be, (q31_t)0x8cbbde0a, + (q31_t)0x37a29132, (q31_t)0x8cb922c6, + (q31_t)0x379ce885, (q31_t)0x8cb667c8, (q31_t)0x37973fb5, (q31_t)0x8cb3ad11, (q31_t)0x379196c3, (q31_t)0x8cb0f2a1, + (q31_t)0x378bedae, (q31_t)0x8cae3879, + (q31_t)0x37864477, (q31_t)0x8cab7e98, (q31_t)0x37809b1e, (q31_t)0x8ca8c4fd, (q31_t)0x377af1a3, (q31_t)0x8ca60baa, + (q31_t)0x37754806, (q31_t)0x8ca3529f, + (q31_t)0x376f9e46, (q31_t)0x8ca099da, (q31_t)0x3769f464, (q31_t)0x8c9de15c, (q31_t)0x37644a60, (q31_t)0x8c9b2926, + (q31_t)0x375ea03a, (q31_t)0x8c987137, + (q31_t)0x3758f5f2, (q31_t)0x8c95b98f, (q31_t)0x37534b87, (q31_t)0x8c93022e, (q31_t)0x374da0fa, (q31_t)0x8c904b14, + (q31_t)0x3747f64c, (q31_t)0x8c8d9442, + (q31_t)0x37424b7b, (q31_t)0x8c8addb7, (q31_t)0x373ca088, (q31_t)0x8c882773, (q31_t)0x3736f573, (q31_t)0x8c857176, + (q31_t)0x37314a3c, (q31_t)0x8c82bbc0, + (q31_t)0x372b9ee3, (q31_t)0x8c800652, (q31_t)0x3725f367, (q31_t)0x8c7d512b, (q31_t)0x372047ca, (q31_t)0x8c7a9c4b, + (q31_t)0x371a9c0b, (q31_t)0x8c77e7b3, + (q31_t)0x3714f02a, (q31_t)0x8c753362, (q31_t)0x370f4427, (q31_t)0x8c727f58, (q31_t)0x37099802, (q31_t)0x8c6fcb95, + (q31_t)0x3703ebbb, (q31_t)0x8c6d181a, + (q31_t)0x36fe3f52, (q31_t)0x8c6a64e5, (q31_t)0x36f892c7, (q31_t)0x8c67b1f9, (q31_t)0x36f2e61a, (q31_t)0x8c64ff53, + (q31_t)0x36ed394b, (q31_t)0x8c624cf5, + (q31_t)0x36e78c5b, (q31_t)0x8c5f9ade, (q31_t)0x36e1df48, (q31_t)0x8c5ce90e, (q31_t)0x36dc3214, (q31_t)0x8c5a3786, + (q31_t)0x36d684be, (q31_t)0x8c578645, + (q31_t)0x36d0d746, (q31_t)0x8c54d54c, (q31_t)0x36cb29ac, (q31_t)0x8c522499, (q31_t)0x36c57bf0, (q31_t)0x8c4f742f, + (q31_t)0x36bfce13, (q31_t)0x8c4cc40b, + (q31_t)0x36ba2014, (q31_t)0x8c4a142f, (q31_t)0x36b471f3, (q31_t)0x8c47649a, (q31_t)0x36aec3b0, (q31_t)0x8c44b54d, + (q31_t)0x36a9154c, (q31_t)0x8c420647, + (q31_t)0x36a366c6, (q31_t)0x8c3f5788, (q31_t)0x369db81e, (q31_t)0x8c3ca911, (q31_t)0x36980954, (q31_t)0x8c39fae1, + (q31_t)0x36925a69, (q31_t)0x8c374cf9, + (q31_t)0x368cab5c, (q31_t)0x8c349f58, (q31_t)0x3686fc2e, (q31_t)0x8c31f1ff, (q31_t)0x36814cde, (q31_t)0x8c2f44ed, + (q31_t)0x367b9d6c, (q31_t)0x8c2c9822, + (q31_t)0x3675edd9, (q31_t)0x8c29eb9f, (q31_t)0x36703e24, (q31_t)0x8c273f63, (q31_t)0x366a8e4d, (q31_t)0x8c24936f, + (q31_t)0x3664de55, (q31_t)0x8c21e7c2, + (q31_t)0x365f2e3b, (q31_t)0x8c1f3c5d, (q31_t)0x36597e00, (q31_t)0x8c1c913f, (q31_t)0x3653cda3, (q31_t)0x8c19e669, + (q31_t)0x364e1d25, (q31_t)0x8c173bda, + (q31_t)0x36486c86, (q31_t)0x8c149192, (q31_t)0x3642bbc4, (q31_t)0x8c11e792, (q31_t)0x363d0ae2, (q31_t)0x8c0f3dda, + (q31_t)0x363759de, (q31_t)0x8c0c9469, + (q31_t)0x3631a8b8, (q31_t)0x8c09eb40, (q31_t)0x362bf771, (q31_t)0x8c07425e, (q31_t)0x36264609, (q31_t)0x8c0499c4, + (q31_t)0x3620947f, (q31_t)0x8c01f171, + (q31_t)0x361ae2d3, (q31_t)0x8bff4966, (q31_t)0x36153107, (q31_t)0x8bfca1a3, (q31_t)0x360f7f19, (q31_t)0x8bf9fa27, + (q31_t)0x3609cd0a, (q31_t)0x8bf752f2, + (q31_t)0x36041ad9, (q31_t)0x8bf4ac05, (q31_t)0x35fe6887, (q31_t)0x8bf20560, (q31_t)0x35f8b614, (q31_t)0x8bef5f02, + (q31_t)0x35f3037f, (q31_t)0x8becb8ec, + (q31_t)0x35ed50c9, (q31_t)0x8bea131e, (q31_t)0x35e79df2, (q31_t)0x8be76d97, (q31_t)0x35e1eafa, (q31_t)0x8be4c857, + (q31_t)0x35dc37e0, (q31_t)0x8be22360, + (q31_t)0x35d684a6, (q31_t)0x8bdf7eb0, (q31_t)0x35d0d14a, (q31_t)0x8bdcda47, (q31_t)0x35cb1dcc, (q31_t)0x8bda3626, + (q31_t)0x35c56a2e, (q31_t)0x8bd7924d, + (q31_t)0x35bfb66e, (q31_t)0x8bd4eebc, (q31_t)0x35ba028e, (q31_t)0x8bd24b72, (q31_t)0x35b44e8c, (q31_t)0x8bcfa870, + (q31_t)0x35ae9a69, (q31_t)0x8bcd05b5, + (q31_t)0x35a8e625, (q31_t)0x8bca6343, (q31_t)0x35a331c0, (q31_t)0x8bc7c117, (q31_t)0x359d7d39, (q31_t)0x8bc51f34, + (q31_t)0x3597c892, (q31_t)0x8bc27d98, + (q31_t)0x359213c9, (q31_t)0x8bbfdc44, (q31_t)0x358c5ee0, (q31_t)0x8bbd3b38, (q31_t)0x3586a9d5, (q31_t)0x8bba9a73, + (q31_t)0x3580f4aa, (q31_t)0x8bb7f9f6, + (q31_t)0x357b3f5d, (q31_t)0x8bb559c1, (q31_t)0x357589f0, (q31_t)0x8bb2b9d4, (q31_t)0x356fd461, (q31_t)0x8bb01a2e, + (q31_t)0x356a1eb2, (q31_t)0x8bad7ad0, + (q31_t)0x356468e2, (q31_t)0x8baadbba, (q31_t)0x355eb2f0, (q31_t)0x8ba83cec, (q31_t)0x3558fcde, (q31_t)0x8ba59e65, + (q31_t)0x355346ab, (q31_t)0x8ba30026, + (q31_t)0x354d9057, (q31_t)0x8ba0622f, (q31_t)0x3547d9e2, (q31_t)0x8b9dc480, (q31_t)0x3542234c, (q31_t)0x8b9b2718, + (q31_t)0x353c6c95, (q31_t)0x8b9889f8, + (q31_t)0x3536b5be, (q31_t)0x8b95ed21, (q31_t)0x3530fec6, (q31_t)0x8b935090, (q31_t)0x352b47ad, (q31_t)0x8b90b448, + (q31_t)0x35259073, (q31_t)0x8b8e1848, + (q31_t)0x351fd918, (q31_t)0x8b8b7c8f, (q31_t)0x351a219c, (q31_t)0x8b88e11e, (q31_t)0x35146a00, (q31_t)0x8b8645f5, + (q31_t)0x350eb243, (q31_t)0x8b83ab14, + (q31_t)0x3508fa66, (q31_t)0x8b81107b, (q31_t)0x35034267, (q31_t)0x8b7e7629, (q31_t)0x34fd8a48, (q31_t)0x8b7bdc20, + (q31_t)0x34f7d208, (q31_t)0x8b79425e, + (q31_t)0x34f219a8, (q31_t)0x8b76a8e4, (q31_t)0x34ec6127, (q31_t)0x8b740fb3, (q31_t)0x34e6a885, (q31_t)0x8b7176c8, + (q31_t)0x34e0efc2, (q31_t)0x8b6ede26, + (q31_t)0x34db36df, (q31_t)0x8b6c45cc, (q31_t)0x34d57ddc, (q31_t)0x8b69adba, (q31_t)0x34cfc4b7, (q31_t)0x8b6715ef, + (q31_t)0x34ca0b73, (q31_t)0x8b647e6d, + (q31_t)0x34c4520d, (q31_t)0x8b61e733, (q31_t)0x34be9887, (q31_t)0x8b5f5040, (q31_t)0x34b8dee1, (q31_t)0x8b5cb995, + (q31_t)0x34b3251a, (q31_t)0x8b5a2333, + (q31_t)0x34ad6b32, (q31_t)0x8b578d18, (q31_t)0x34a7b12a, (q31_t)0x8b54f745, (q31_t)0x34a1f702, (q31_t)0x8b5261ba, + (q31_t)0x349c3cb9, (q31_t)0x8b4fcc77, + (q31_t)0x34968250, (q31_t)0x8b4d377c, (q31_t)0x3490c7c6, (q31_t)0x8b4aa2ca, (q31_t)0x348b0d1c, (q31_t)0x8b480e5f, + (q31_t)0x34855251, (q31_t)0x8b457a3c, + (q31_t)0x347f9766, (q31_t)0x8b42e661, (q31_t)0x3479dc5b, (q31_t)0x8b4052ce, (q31_t)0x3474212f, (q31_t)0x8b3dbf83, + (q31_t)0x346e65e3, (q31_t)0x8b3b2c80, + (q31_t)0x3468aa76, (q31_t)0x8b3899c6, (q31_t)0x3462eee9, (q31_t)0x8b360753, (q31_t)0x345d333c, (q31_t)0x8b337528, + (q31_t)0x3457776f, (q31_t)0x8b30e345, + (q31_t)0x3451bb81, (q31_t)0x8b2e51ab, (q31_t)0x344bff73, (q31_t)0x8b2bc058, (q31_t)0x34464345, (q31_t)0x8b292f4e, + (q31_t)0x344086f6, (q31_t)0x8b269e8b, + (q31_t)0x343aca87, (q31_t)0x8b240e11, (q31_t)0x34350df8, (q31_t)0x8b217ddf, (q31_t)0x342f5149, (q31_t)0x8b1eedf4, + (q31_t)0x3429947a, (q31_t)0x8b1c5e52, + (q31_t)0x3423d78a, (q31_t)0x8b19cef8, (q31_t)0x341e1a7b, (q31_t)0x8b173fe6, (q31_t)0x34185d4b, (q31_t)0x8b14b11d, + (q31_t)0x34129ffb, (q31_t)0x8b12229b, + (q31_t)0x340ce28b, (q31_t)0x8b0f9462, (q31_t)0x340724fb, (q31_t)0x8b0d0670, (q31_t)0x3401674a, (q31_t)0x8b0a78c7, + (q31_t)0x33fba97a, (q31_t)0x8b07eb66, + (q31_t)0x33f5eb89, (q31_t)0x8b055e4d, (q31_t)0x33f02d79, (q31_t)0x8b02d17c, (q31_t)0x33ea6f48, (q31_t)0x8b0044f3, + (q31_t)0x33e4b0f8, (q31_t)0x8afdb8b3, + (q31_t)0x33def287, (q31_t)0x8afb2cbb, (q31_t)0x33d933f7, (q31_t)0x8af8a10b, (q31_t)0x33d37546, (q31_t)0x8af615a3, + (q31_t)0x33cdb676, (q31_t)0x8af38a83, + (q31_t)0x33c7f785, (q31_t)0x8af0ffac, (q31_t)0x33c23875, (q31_t)0x8aee751c, (q31_t)0x33bc7944, (q31_t)0x8aebead5, + (q31_t)0x33b6b9f4, (q31_t)0x8ae960d6, + (q31_t)0x33b0fa84, (q31_t)0x8ae6d720, (q31_t)0x33ab3af4, (q31_t)0x8ae44db1, (q31_t)0x33a57b44, (q31_t)0x8ae1c48b, + (q31_t)0x339fbb74, (q31_t)0x8adf3bad, + (q31_t)0x3399fb85, (q31_t)0x8adcb318, (q31_t)0x33943b75, (q31_t)0x8ada2aca, (q31_t)0x338e7b46, (q31_t)0x8ad7a2c5, + (q31_t)0x3388baf7, (q31_t)0x8ad51b08, + (q31_t)0x3382fa88, (q31_t)0x8ad29394, (q31_t)0x337d39f9, (q31_t)0x8ad00c67, (q31_t)0x3377794b, (q31_t)0x8acd8583, + (q31_t)0x3371b87d, (q31_t)0x8acafee8, + (q31_t)0x336bf78f, (q31_t)0x8ac87894, (q31_t)0x33663682, (q31_t)0x8ac5f289, (q31_t)0x33607554, (q31_t)0x8ac36cc6, + (q31_t)0x335ab407, (q31_t)0x8ac0e74c, + (q31_t)0x3354f29b, (q31_t)0x8abe6219, (q31_t)0x334f310e, (q31_t)0x8abbdd30, (q31_t)0x33496f62, (q31_t)0x8ab9588e, + (q31_t)0x3343ad97, (q31_t)0x8ab6d435, + (q31_t)0x333debab, (q31_t)0x8ab45024, (q31_t)0x333829a1, (q31_t)0x8ab1cc5c, (q31_t)0x33326776, (q31_t)0x8aaf48db, + (q31_t)0x332ca52c, (q31_t)0x8aacc5a4, + (q31_t)0x3326e2c3, (q31_t)0x8aaa42b4, (q31_t)0x33212039, (q31_t)0x8aa7c00d, (q31_t)0x331b5d91, (q31_t)0x8aa53daf, + (q31_t)0x33159ac8, (q31_t)0x8aa2bb99, + (q31_t)0x330fd7e1, (q31_t)0x8aa039cb, (q31_t)0x330a14da, (q31_t)0x8a9db845, (q31_t)0x330451b3, (q31_t)0x8a9b3708, + (q31_t)0x32fe8e6d, (q31_t)0x8a98b614, + (q31_t)0x32f8cb07, (q31_t)0x8a963567, (q31_t)0x32f30782, (q31_t)0x8a93b504, (q31_t)0x32ed43de, (q31_t)0x8a9134e8, + (q31_t)0x32e7801a, (q31_t)0x8a8eb516, + (q31_t)0x32e1bc36, (q31_t)0x8a8c358b, (q31_t)0x32dbf834, (q31_t)0x8a89b649, (q31_t)0x32d63412, (q31_t)0x8a873750, + (q31_t)0x32d06fd0, (q31_t)0x8a84b89e, + (q31_t)0x32caab6f, (q31_t)0x8a823a36, (q31_t)0x32c4e6ef, (q31_t)0x8a7fbc16, (q31_t)0x32bf2250, (q31_t)0x8a7d3e3e, + (q31_t)0x32b95d91, (q31_t)0x8a7ac0af, + (q31_t)0x32b398b3, (q31_t)0x8a784368, (q31_t)0x32add3b6, (q31_t)0x8a75c66a, (q31_t)0x32a80e99, (q31_t)0x8a7349b4, + (q31_t)0x32a2495d, (q31_t)0x8a70cd47, + (q31_t)0x329c8402, (q31_t)0x8a6e5123, (q31_t)0x3296be88, (q31_t)0x8a6bd547, (q31_t)0x3290f8ef, (q31_t)0x8a6959b3, + (q31_t)0x328b3336, (q31_t)0x8a66de68, + (q31_t)0x32856d5e, (q31_t)0x8a646365, (q31_t)0x327fa767, (q31_t)0x8a61e8ab, (q31_t)0x3279e151, (q31_t)0x8a5f6e3a, + (q31_t)0x32741b1c, (q31_t)0x8a5cf411, + (q31_t)0x326e54c7, (q31_t)0x8a5a7a31, (q31_t)0x32688e54, (q31_t)0x8a580099, (q31_t)0x3262c7c1, (q31_t)0x8a55874a, + (q31_t)0x325d0110, (q31_t)0x8a530e43, + (q31_t)0x32573a3f, (q31_t)0x8a509585, (q31_t)0x3251734f, (q31_t)0x8a4e1d10, (q31_t)0x324bac40, (q31_t)0x8a4ba4e3, + (q31_t)0x3245e512, (q31_t)0x8a492cff, + (q31_t)0x32401dc6, (q31_t)0x8a46b564, (q31_t)0x323a565a, (q31_t)0x8a443e11, (q31_t)0x32348ecf, (q31_t)0x8a41c706, + (q31_t)0x322ec725, (q31_t)0x8a3f5045, + (q31_t)0x3228ff5c, (q31_t)0x8a3cd9cc, (q31_t)0x32233775, (q31_t)0x8a3a639b, (q31_t)0x321d6f6e, (q31_t)0x8a37edb3, + (q31_t)0x3217a748, (q31_t)0x8a357814, + (q31_t)0x3211df04, (q31_t)0x8a3302be, (q31_t)0x320c16a1, (q31_t)0x8a308db0, (q31_t)0x32064e1e, (q31_t)0x8a2e18eb, + (q31_t)0x3200857d, (q31_t)0x8a2ba46e, + (q31_t)0x31fabcbd, (q31_t)0x8a29303b, (q31_t)0x31f4f3df, (q31_t)0x8a26bc50, (q31_t)0x31ef2ae1, (q31_t)0x8a2448ad, + (q31_t)0x31e961c5, (q31_t)0x8a21d554, + (q31_t)0x31e39889, (q31_t)0x8a1f6243, (q31_t)0x31ddcf30, (q31_t)0x8a1cef7a, (q31_t)0x31d805b7, (q31_t)0x8a1a7cfb, + (q31_t)0x31d23c1f, (q31_t)0x8a180ac4, + (q31_t)0x31cc7269, (q31_t)0x8a1598d6, (q31_t)0x31c6a894, (q31_t)0x8a132731, (q31_t)0x31c0dea1, (q31_t)0x8a10b5d4, + (q31_t)0x31bb148f, (q31_t)0x8a0e44c0, + (q31_t)0x31b54a5e, (q31_t)0x8a0bd3f5, (q31_t)0x31af800e, (q31_t)0x8a096373, (q31_t)0x31a9b5a0, (q31_t)0x8a06f339, + (q31_t)0x31a3eb13, (q31_t)0x8a048348, + (q31_t)0x319e2067, (q31_t)0x8a0213a0, (q31_t)0x3198559d, (q31_t)0x89ffa441, (q31_t)0x31928ab4, (q31_t)0x89fd352b, + (q31_t)0x318cbfad, (q31_t)0x89fac65d, + (q31_t)0x3186f487, (q31_t)0x89f857d8, (q31_t)0x31812943, (q31_t)0x89f5e99c, (q31_t)0x317b5de0, (q31_t)0x89f37ba9, + (q31_t)0x3175925e, (q31_t)0x89f10dff, + (q31_t)0x316fc6be, (q31_t)0x89eea09d, (q31_t)0x3169fb00, (q31_t)0x89ec3384, (q31_t)0x31642f23, (q31_t)0x89e9c6b4, + (q31_t)0x315e6328, (q31_t)0x89e75a2d, + (q31_t)0x3158970e, (q31_t)0x89e4edef, (q31_t)0x3152cad5, (q31_t)0x89e281fa, (q31_t)0x314cfe7f, (q31_t)0x89e0164d, + (q31_t)0x31473209, (q31_t)0x89ddaae9, + (q31_t)0x31416576, (q31_t)0x89db3fcf, (q31_t)0x313b98c4, (q31_t)0x89d8d4fd, (q31_t)0x3135cbf4, (q31_t)0x89d66a74, + (q31_t)0x312fff05, (q31_t)0x89d40033, + (q31_t)0x312a31f8, (q31_t)0x89d1963c, (q31_t)0x312464cd, (q31_t)0x89cf2c8e, (q31_t)0x311e9783, (q31_t)0x89ccc328, + (q31_t)0x3118ca1b, (q31_t)0x89ca5a0c, + (q31_t)0x3112fc95, (q31_t)0x89c7f138, (q31_t)0x310d2ef0, (q31_t)0x89c588ae, (q31_t)0x3107612e, (q31_t)0x89c3206c, + (q31_t)0x3101934d, (q31_t)0x89c0b873, + (q31_t)0x30fbc54d, (q31_t)0x89be50c3, (q31_t)0x30f5f730, (q31_t)0x89bbe95c, (q31_t)0x30f028f4, (q31_t)0x89b9823e, + (q31_t)0x30ea5a9a, (q31_t)0x89b71b69, + (q31_t)0x30e48c22, (q31_t)0x89b4b4dd, (q31_t)0x30debd8c, (q31_t)0x89b24e9a, (q31_t)0x30d8eed8, (q31_t)0x89afe8a0, + (q31_t)0x30d32006, (q31_t)0x89ad82ef, + (q31_t)0x30cd5115, (q31_t)0x89ab1d87, (q31_t)0x30c78206, (q31_t)0x89a8b868, (q31_t)0x30c1b2da, (q31_t)0x89a65391, + (q31_t)0x30bbe38f, (q31_t)0x89a3ef04, + (q31_t)0x30b61426, (q31_t)0x89a18ac0, (q31_t)0x30b0449f, (q31_t)0x899f26c5, (q31_t)0x30aa74fa, (q31_t)0x899cc313, + (q31_t)0x30a4a537, (q31_t)0x899a5faa, + (q31_t)0x309ed556, (q31_t)0x8997fc8a, (q31_t)0x30990557, (q31_t)0x899599b3, (q31_t)0x3093353a, (q31_t)0x89933725, + (q31_t)0x308d64ff, (q31_t)0x8990d4e0, + (q31_t)0x308794a6, (q31_t)0x898e72e4, (q31_t)0x3081c42f, (q31_t)0x898c1131, (q31_t)0x307bf39b, (q31_t)0x8989afc8, + (q31_t)0x307622e8, (q31_t)0x89874ea7, + (q31_t)0x30705217, (q31_t)0x8984edcf, (q31_t)0x306a8129, (q31_t)0x89828d41, (q31_t)0x3064b01d, (q31_t)0x89802cfc, + (q31_t)0x305edef3, (q31_t)0x897dccff, + (q31_t)0x30590dab, (q31_t)0x897b6d4c, (q31_t)0x30533c45, (q31_t)0x89790de2, (q31_t)0x304d6ac1, (q31_t)0x8976aec1, + (q31_t)0x30479920, (q31_t)0x89744fe9, + (q31_t)0x3041c761, (q31_t)0x8971f15a, (q31_t)0x303bf584, (q31_t)0x896f9315, (q31_t)0x30362389, (q31_t)0x896d3518, + (q31_t)0x30305171, (q31_t)0x896ad765, + (q31_t)0x302a7f3a, (q31_t)0x896879fb, (q31_t)0x3024ace6, (q31_t)0x89661cda, (q31_t)0x301eda75, (q31_t)0x8963c002, + (q31_t)0x301907e6, (q31_t)0x89616373, + (q31_t)0x30133539, (q31_t)0x895f072e, (q31_t)0x300d626e, (q31_t)0x895cab31, (q31_t)0x30078f86, (q31_t)0x895a4f7e, + (q31_t)0x3001bc80, (q31_t)0x8957f414, + (q31_t)0x2ffbe95d, (q31_t)0x895598f3, (q31_t)0x2ff6161c, (q31_t)0x89533e1c, (q31_t)0x2ff042bd, (q31_t)0x8950e38e, + (q31_t)0x2fea6f41, (q31_t)0x894e8948, + (q31_t)0x2fe49ba7, (q31_t)0x894c2f4c, (q31_t)0x2fdec7f0, (q31_t)0x8949d59a, (q31_t)0x2fd8f41b, (q31_t)0x89477c30, + (q31_t)0x2fd32028, (q31_t)0x89452310, + (q31_t)0x2fcd4c19, (q31_t)0x8942ca39, (q31_t)0x2fc777eb, (q31_t)0x894071ab, (q31_t)0x2fc1a3a0, (q31_t)0x893e1967, + (q31_t)0x2fbbcf38, (q31_t)0x893bc16b, + (q31_t)0x2fb5fab2, (q31_t)0x893969b9, (q31_t)0x2fb0260f, (q31_t)0x89371250, (q31_t)0x2faa514f, (q31_t)0x8934bb31, + (q31_t)0x2fa47c71, (q31_t)0x8932645b, + (q31_t)0x2f9ea775, (q31_t)0x89300dce, (q31_t)0x2f98d25d, (q31_t)0x892db78a, (q31_t)0x2f92fd26, (q31_t)0x892b6190, + (q31_t)0x2f8d27d3, (q31_t)0x89290bdf, + (q31_t)0x2f875262, (q31_t)0x8926b677, (q31_t)0x2f817cd4, (q31_t)0x89246159, (q31_t)0x2f7ba729, (q31_t)0x89220c84, + (q31_t)0x2f75d160, (q31_t)0x891fb7f8, + (q31_t)0x2f6ffb7a, (q31_t)0x891d63b5, (q31_t)0x2f6a2577, (q31_t)0x891b0fbc, (q31_t)0x2f644f56, (q31_t)0x8918bc0c, + (q31_t)0x2f5e7919, (q31_t)0x891668a6, + (q31_t)0x2f58a2be, (q31_t)0x89141589, (q31_t)0x2f52cc46, (q31_t)0x8911c2b5, (q31_t)0x2f4cf5b0, (q31_t)0x890f702b, + (q31_t)0x2f471efe, (q31_t)0x890d1dea, + (q31_t)0x2f41482e, (q31_t)0x890acbf2, (q31_t)0x2f3b7141, (q31_t)0x89087a44, (q31_t)0x2f359a37, (q31_t)0x890628df, + (q31_t)0x2f2fc310, (q31_t)0x8903d7c4, + (q31_t)0x2f29ebcc, (q31_t)0x890186f2, (q31_t)0x2f24146b, (q31_t)0x88ff3669, (q31_t)0x2f1e3ced, (q31_t)0x88fce62a, + (q31_t)0x2f186551, (q31_t)0x88fa9634, + (q31_t)0x2f128d99, (q31_t)0x88f84687, (q31_t)0x2f0cb5c3, (q31_t)0x88f5f724, (q31_t)0x2f06ddd1, (q31_t)0x88f3a80b, + (q31_t)0x2f0105c1, (q31_t)0x88f1593b, + (q31_t)0x2efb2d95, (q31_t)0x88ef0ab4, (q31_t)0x2ef5554b, (q31_t)0x88ecbc77, (q31_t)0x2eef7ce5, (q31_t)0x88ea6e83, + (q31_t)0x2ee9a461, (q31_t)0x88e820d9, + (q31_t)0x2ee3cbc1, (q31_t)0x88e5d378, (q31_t)0x2eddf304, (q31_t)0x88e38660, (q31_t)0x2ed81a29, (q31_t)0x88e13992, + (q31_t)0x2ed24132, (q31_t)0x88deed0e, + (q31_t)0x2ecc681e, (q31_t)0x88dca0d3, (q31_t)0x2ec68eed, (q31_t)0x88da54e1, (q31_t)0x2ec0b5a0, (q31_t)0x88d8093a, + (q31_t)0x2ebadc35, (q31_t)0x88d5bddb, + (q31_t)0x2eb502ae, (q31_t)0x88d372c6, (q31_t)0x2eaf290a, (q31_t)0x88d127fb, (q31_t)0x2ea94f49, (q31_t)0x88cedd79, + (q31_t)0x2ea3756b, (q31_t)0x88cc9340, + (q31_t)0x2e9d9b70, (q31_t)0x88ca4951, (q31_t)0x2e97c159, (q31_t)0x88c7ffac, (q31_t)0x2e91e725, (q31_t)0x88c5b650, + (q31_t)0x2e8c0cd4, (q31_t)0x88c36d3e, + (q31_t)0x2e863267, (q31_t)0x88c12475, (q31_t)0x2e8057dd, (q31_t)0x88bedbf6, (q31_t)0x2e7a7d36, (q31_t)0x88bc93c0, + (q31_t)0x2e74a272, (q31_t)0x88ba4bd4, + (q31_t)0x2e6ec792, (q31_t)0x88b80432, (q31_t)0x2e68ec95, (q31_t)0x88b5bcd9, (q31_t)0x2e63117c, (q31_t)0x88b375ca, + (q31_t)0x2e5d3646, (q31_t)0x88b12f04, + (q31_t)0x2e575af3, (q31_t)0x88aee888, (q31_t)0x2e517f84, (q31_t)0x88aca255, (q31_t)0x2e4ba3f8, (q31_t)0x88aa5c6c, + (q31_t)0x2e45c850, (q31_t)0x88a816cd, + (q31_t)0x2e3fec8b, (q31_t)0x88a5d177, (q31_t)0x2e3a10aa, (q31_t)0x88a38c6b, (q31_t)0x2e3434ac, (q31_t)0x88a147a9, + (q31_t)0x2e2e5891, (q31_t)0x889f0330, + (q31_t)0x2e287c5a, (q31_t)0x889cbf01, (q31_t)0x2e22a007, (q31_t)0x889a7b1b, (q31_t)0x2e1cc397, (q31_t)0x88983780, + (q31_t)0x2e16e70b, (q31_t)0x8895f42d, + (q31_t)0x2e110a62, (q31_t)0x8893b125, (q31_t)0x2e0b2d9d, (q31_t)0x88916e66, (q31_t)0x2e0550bb, (q31_t)0x888f2bf1, + (q31_t)0x2dff73bd, (q31_t)0x888ce9c5, + (q31_t)0x2df996a3, (q31_t)0x888aa7e3, (q31_t)0x2df3b96c, (q31_t)0x8888664b, (q31_t)0x2deddc19, (q31_t)0x888624fd, + (q31_t)0x2de7feaa, (q31_t)0x8883e3f8, + (q31_t)0x2de2211e, (q31_t)0x8881a33d, (q31_t)0x2ddc4376, (q31_t)0x887f62cb, (q31_t)0x2dd665b2, (q31_t)0x887d22a4, + (q31_t)0x2dd087d1, (q31_t)0x887ae2c6, + (q31_t)0x2dcaa9d5, (q31_t)0x8878a332, (q31_t)0x2dc4cbbc, (q31_t)0x887663e7, (q31_t)0x2dbeed86, (q31_t)0x887424e7, + (q31_t)0x2db90f35, (q31_t)0x8871e630, + (q31_t)0x2db330c7, (q31_t)0x886fa7c2, (q31_t)0x2dad523d, (q31_t)0x886d699f, (q31_t)0x2da77397, (q31_t)0x886b2bc5, + (q31_t)0x2da194d5, (q31_t)0x8868ee35, + (q31_t)0x2d9bb5f6, (q31_t)0x8866b0ef, (q31_t)0x2d95d6fc, (q31_t)0x886473f2, (q31_t)0x2d8ff7e5, (q31_t)0x88623740, + (q31_t)0x2d8a18b3, (q31_t)0x885ffad7, + (q31_t)0x2d843964, (q31_t)0x885dbeb8, (q31_t)0x2d7e59f9, (q31_t)0x885b82e3, (q31_t)0x2d787a72, (q31_t)0x88594757, + (q31_t)0x2d729acf, (q31_t)0x88570c16, + (q31_t)0x2d6cbb10, (q31_t)0x8854d11e, (q31_t)0x2d66db35, (q31_t)0x88529670, (q31_t)0x2d60fb3e, (q31_t)0x88505c0b, + (q31_t)0x2d5b1b2b, (q31_t)0x884e21f1, + (q31_t)0x2d553afc, (q31_t)0x884be821, (q31_t)0x2d4f5ab1, (q31_t)0x8849ae9a, (q31_t)0x2d497a4a, (q31_t)0x8847755d, + (q31_t)0x2d4399c7, (q31_t)0x88453c6a, + (q31_t)0x2d3db928, (q31_t)0x884303c1, (q31_t)0x2d37d86d, (q31_t)0x8840cb61, (q31_t)0x2d31f797, (q31_t)0x883e934c, + (q31_t)0x2d2c16a4, (q31_t)0x883c5b81, + (q31_t)0x2d263596, (q31_t)0x883a23ff, (q31_t)0x2d20546b, (q31_t)0x8837ecc7, (q31_t)0x2d1a7325, (q31_t)0x8835b5d9, + (q31_t)0x2d1491c4, (q31_t)0x88337f35, + (q31_t)0x2d0eb046, (q31_t)0x883148db, (q31_t)0x2d08ceac, (q31_t)0x882f12cb, (q31_t)0x2d02ecf7, (q31_t)0x882cdd04, + (q31_t)0x2cfd0b26, (q31_t)0x882aa788, + (q31_t)0x2cf72939, (q31_t)0x88287256, (q31_t)0x2cf14731, (q31_t)0x88263d6d, (q31_t)0x2ceb650d, (q31_t)0x882408ce, + (q31_t)0x2ce582cd, (q31_t)0x8821d47a, + (q31_t)0x2cdfa071, (q31_t)0x881fa06f, (q31_t)0x2cd9bdfa, (q31_t)0x881d6cae, (q31_t)0x2cd3db67, (q31_t)0x881b3937, + (q31_t)0x2ccdf8b8, (q31_t)0x8819060a, + (q31_t)0x2cc815ee, (q31_t)0x8816d327, (q31_t)0x2cc23308, (q31_t)0x8814a08f, (q31_t)0x2cbc5006, (q31_t)0x88126e40, + (q31_t)0x2cb66ce9, (q31_t)0x88103c3b, + (q31_t)0x2cb089b1, (q31_t)0x880e0a7f, (q31_t)0x2caaa65c, (q31_t)0x880bd90e, (q31_t)0x2ca4c2ed, (q31_t)0x8809a7e7, + (q31_t)0x2c9edf61, (q31_t)0x8807770a, + (q31_t)0x2c98fbba, (q31_t)0x88054677, (q31_t)0x2c9317f8, (q31_t)0x8803162e, (q31_t)0x2c8d341a, (q31_t)0x8800e62f, + (q31_t)0x2c875021, (q31_t)0x87feb67a, + (q31_t)0x2c816c0c, (q31_t)0x87fc870f, (q31_t)0x2c7b87dc, (q31_t)0x87fa57ee, (q31_t)0x2c75a390, (q31_t)0x87f82917, + (q31_t)0x2c6fbf29, (q31_t)0x87f5fa8b, + (q31_t)0x2c69daa6, (q31_t)0x87f3cc48, (q31_t)0x2c63f609, (q31_t)0x87f19e4f, (q31_t)0x2c5e114f, (q31_t)0x87ef70a0, + (q31_t)0x2c582c7b, (q31_t)0x87ed433c, + (q31_t)0x2c52478a, (q31_t)0x87eb1621, (q31_t)0x2c4c627f, (q31_t)0x87e8e950, (q31_t)0x2c467d58, (q31_t)0x87e6bcca, + (q31_t)0x2c409816, (q31_t)0x87e4908e, + (q31_t)0x2c3ab2b9, (q31_t)0x87e2649b, (q31_t)0x2c34cd40, (q31_t)0x87e038f3, (q31_t)0x2c2ee7ad, (q31_t)0x87de0d95, + (q31_t)0x2c2901fd, (q31_t)0x87dbe281, + (q31_t)0x2c231c33, (q31_t)0x87d9b7b7, (q31_t)0x2c1d364e, (q31_t)0x87d78d38, (q31_t)0x2c17504d, (q31_t)0x87d56302, + (q31_t)0x2c116a31, (q31_t)0x87d33916, + (q31_t)0x2c0b83fa, (q31_t)0x87d10f75, (q31_t)0x2c059da7, (q31_t)0x87cee61e, (q31_t)0x2bffb73a, (q31_t)0x87ccbd11, + (q31_t)0x2bf9d0b1, (q31_t)0x87ca944e, + (q31_t)0x2bf3ea0d, (q31_t)0x87c86bd5, (q31_t)0x2bee034e, (q31_t)0x87c643a6, (q31_t)0x2be81c74, (q31_t)0x87c41bc2, + (q31_t)0x2be2357f, (q31_t)0x87c1f427, + (q31_t)0x2bdc4e6f, (q31_t)0x87bfccd7, (q31_t)0x2bd66744, (q31_t)0x87bda5d1, (q31_t)0x2bd07ffe, (q31_t)0x87bb7f16, + (q31_t)0x2bca989d, (q31_t)0x87b958a4, + (q31_t)0x2bc4b120, (q31_t)0x87b7327d, (q31_t)0x2bbec989, (q31_t)0x87b50c9f, (q31_t)0x2bb8e1d7, (q31_t)0x87b2e70c, + (q31_t)0x2bb2fa0a, (q31_t)0x87b0c1c4, + (q31_t)0x2bad1221, (q31_t)0x87ae9cc5, (q31_t)0x2ba72a1e, (q31_t)0x87ac7811, (q31_t)0x2ba14200, (q31_t)0x87aa53a6, + (q31_t)0x2b9b59c7, (q31_t)0x87a82f87, + (q31_t)0x2b957173, (q31_t)0x87a60bb1, (q31_t)0x2b8f8905, (q31_t)0x87a3e825, (q31_t)0x2b89a07b, (q31_t)0x87a1c4e4, + (q31_t)0x2b83b7d7, (q31_t)0x879fa1ed, + (q31_t)0x2b7dcf17, (q31_t)0x879d7f41, (q31_t)0x2b77e63d, (q31_t)0x879b5cde, (q31_t)0x2b71fd48, (q31_t)0x87993ac6, + (q31_t)0x2b6c1438, (q31_t)0x879718f8, + (q31_t)0x2b662b0e, (q31_t)0x8794f774, (q31_t)0x2b6041c9, (q31_t)0x8792d63b, (q31_t)0x2b5a5868, (q31_t)0x8790b54c, + (q31_t)0x2b546eee, (q31_t)0x878e94a7, + (q31_t)0x2b4e8558, (q31_t)0x878c744d, (q31_t)0x2b489ba8, (q31_t)0x878a543d, (q31_t)0x2b42b1dd, (q31_t)0x87883477, + (q31_t)0x2b3cc7f7, (q31_t)0x878614fb, + (q31_t)0x2b36ddf7, (q31_t)0x8783f5ca, (q31_t)0x2b30f3dc, (q31_t)0x8781d6e3, (q31_t)0x2b2b09a6, (q31_t)0x877fb846, + (q31_t)0x2b251f56, (q31_t)0x877d99f4, + (q31_t)0x2b1f34eb, (q31_t)0x877b7bec, (q31_t)0x2b194a66, (q31_t)0x87795e2f, (q31_t)0x2b135fc6, (q31_t)0x877740bb, + (q31_t)0x2b0d750b, (q31_t)0x87752392, + (q31_t)0x2b078a36, (q31_t)0x877306b4, (q31_t)0x2b019f46, (q31_t)0x8770ea20, (q31_t)0x2afbb43c, (q31_t)0x876ecdd6, + (q31_t)0x2af5c917, (q31_t)0x876cb1d6, + (q31_t)0x2aefddd8, (q31_t)0x876a9621, (q31_t)0x2ae9f27e, (q31_t)0x87687ab7, (q31_t)0x2ae4070a, (q31_t)0x87665f96, + (q31_t)0x2ade1b7c, (q31_t)0x876444c1, + (q31_t)0x2ad82fd2, (q31_t)0x87622a35, (q31_t)0x2ad2440f, (q31_t)0x87600ff4, (q31_t)0x2acc5831, (q31_t)0x875df5fd, + (q31_t)0x2ac66c39, (q31_t)0x875bdc51, + (q31_t)0x2ac08026, (q31_t)0x8759c2ef, (q31_t)0x2aba93f9, (q31_t)0x8757a9d8, (q31_t)0x2ab4a7b1, (q31_t)0x8755910b, + (q31_t)0x2aaebb50, (q31_t)0x87537888, + (q31_t)0x2aa8ced3, (q31_t)0x87516050, (q31_t)0x2aa2e23d, (q31_t)0x874f4862, (q31_t)0x2a9cf58c, (q31_t)0x874d30bf, + (q31_t)0x2a9708c1, (q31_t)0x874b1966, + (q31_t)0x2a911bdc, (q31_t)0x87490258, (q31_t)0x2a8b2edc, (q31_t)0x8746eb94, (q31_t)0x2a8541c3, (q31_t)0x8744d51b, + (q31_t)0x2a7f548e, (q31_t)0x8742beec, + (q31_t)0x2a796740, (q31_t)0x8740a907, (q31_t)0x2a7379d8, (q31_t)0x873e936d, (q31_t)0x2a6d8c55, (q31_t)0x873c7e1e, + (q31_t)0x2a679eb8, (q31_t)0x873a6919, + (q31_t)0x2a61b101, (q31_t)0x8738545e, (q31_t)0x2a5bc330, (q31_t)0x87363fee, (q31_t)0x2a55d545, (q31_t)0x87342bc9, + (q31_t)0x2a4fe740, (q31_t)0x873217ee, + (q31_t)0x2a49f920, (q31_t)0x8730045d, (q31_t)0x2a440ae7, (q31_t)0x872df117, (q31_t)0x2a3e1c93, (q31_t)0x872bde1c, + (q31_t)0x2a382e25, (q31_t)0x8729cb6b, + (q31_t)0x2a323f9e, (q31_t)0x8727b905, (q31_t)0x2a2c50fc, (q31_t)0x8725a6e9, (q31_t)0x2a266240, (q31_t)0x87239518, + (q31_t)0x2a20736a, (q31_t)0x87218391, + (q31_t)0x2a1a847b, (q31_t)0x871f7255, (q31_t)0x2a149571, (q31_t)0x871d6163, (q31_t)0x2a0ea64d, (q31_t)0x871b50bc, + (q31_t)0x2a08b710, (q31_t)0x87194060, + (q31_t)0x2a02c7b8, (q31_t)0x8717304e, (q31_t)0x29fcd847, (q31_t)0x87152087, (q31_t)0x29f6e8bb, (q31_t)0x8713110a, + (q31_t)0x29f0f916, (q31_t)0x871101d8, + (q31_t)0x29eb0957, (q31_t)0x870ef2f1, (q31_t)0x29e5197e, (q31_t)0x870ce454, (q31_t)0x29df298b, (q31_t)0x870ad602, + (q31_t)0x29d9397f, (q31_t)0x8708c7fa, + (q31_t)0x29d34958, (q31_t)0x8706ba3d, (q31_t)0x29cd5918, (q31_t)0x8704acca, (q31_t)0x29c768be, (q31_t)0x87029fa3, + (q31_t)0x29c1784a, (q31_t)0x870092c5, + (q31_t)0x29bb87bc, (q31_t)0x86fe8633, (q31_t)0x29b59715, (q31_t)0x86fc79eb, (q31_t)0x29afa654, (q31_t)0x86fa6dee, + (q31_t)0x29a9b579, (q31_t)0x86f8623b, + (q31_t)0x29a3c485, (q31_t)0x86f656d3, (q31_t)0x299dd377, (q31_t)0x86f44bb6, (q31_t)0x2997e24f, (q31_t)0x86f240e3, + (q31_t)0x2991f10e, (q31_t)0x86f0365c, + (q31_t)0x298bffb2, (q31_t)0x86ee2c1e, (q31_t)0x29860e3e, (q31_t)0x86ec222c, (q31_t)0x29801caf, (q31_t)0x86ea1884, + (q31_t)0x297a2b07, (q31_t)0x86e80f27, + (q31_t)0x29743946, (q31_t)0x86e60614, (q31_t)0x296e476b, (q31_t)0x86e3fd4c, (q31_t)0x29685576, (q31_t)0x86e1f4cf, + (q31_t)0x29626368, (q31_t)0x86dfec9d, + (q31_t)0x295c7140, (q31_t)0x86dde4b5, (q31_t)0x29567eff, (q31_t)0x86dbdd18, (q31_t)0x29508ca4, (q31_t)0x86d9d5c6, + (q31_t)0x294a9a30, (q31_t)0x86d7cebf, + (q31_t)0x2944a7a2, (q31_t)0x86d5c802, (q31_t)0x293eb4fb, (q31_t)0x86d3c190, (q31_t)0x2938c23a, (q31_t)0x86d1bb69, + (q31_t)0x2932cf60, (q31_t)0x86cfb58c, + (q31_t)0x292cdc6d, (q31_t)0x86cdaffa, (q31_t)0x2926e960, (q31_t)0x86cbaab3, (q31_t)0x2920f63a, (q31_t)0x86c9a5b7, + (q31_t)0x291b02fa, (q31_t)0x86c7a106, + (q31_t)0x29150fa1, (q31_t)0x86c59c9f, (q31_t)0x290f1c2f, (q31_t)0x86c39883, (q31_t)0x290928a3, (q31_t)0x86c194b2, + (q31_t)0x290334ff, (q31_t)0x86bf912c, + (q31_t)0x28fd4140, (q31_t)0x86bd8df0, (q31_t)0x28f74d69, (q31_t)0x86bb8b00, (q31_t)0x28f15978, (q31_t)0x86b9885a, + (q31_t)0x28eb656e, (q31_t)0x86b785ff, + (q31_t)0x28e5714b, (q31_t)0x86b583ee, (q31_t)0x28df7d0e, (q31_t)0x86b38229, (q31_t)0x28d988b8, (q31_t)0x86b180ae, + (q31_t)0x28d3944a, (q31_t)0x86af7f7e, + (q31_t)0x28cd9fc1, (q31_t)0x86ad7e99, (q31_t)0x28c7ab20, (q31_t)0x86ab7dff, (q31_t)0x28c1b666, (q31_t)0x86a97db0, + (q31_t)0x28bbc192, (q31_t)0x86a77dab, + (q31_t)0x28b5cca5, (q31_t)0x86a57df2, (q31_t)0x28afd7a0, (q31_t)0x86a37e83, (q31_t)0x28a9e281, (q31_t)0x86a17f5f, + (q31_t)0x28a3ed49, (q31_t)0x869f8086, + (q31_t)0x289df7f8, (q31_t)0x869d81f8, (q31_t)0x2898028e, (q31_t)0x869b83b4, (q31_t)0x28920d0a, (q31_t)0x869985bc, + (q31_t)0x288c176e, (q31_t)0x8697880f, + (q31_t)0x288621b9, (q31_t)0x86958aac, (q31_t)0x28802beb, (q31_t)0x86938d94, (q31_t)0x287a3604, (q31_t)0x869190c7, + (q31_t)0x28744004, (q31_t)0x868f9445, + (q31_t)0x286e49ea, (q31_t)0x868d980e, (q31_t)0x286853b8, (q31_t)0x868b9c22, (q31_t)0x28625d6d, (q31_t)0x8689a081, + (q31_t)0x285c670a, (q31_t)0x8687a52b, + (q31_t)0x2856708d, (q31_t)0x8685aa20, (q31_t)0x285079f7, (q31_t)0x8683af5f, (q31_t)0x284a8349, (q31_t)0x8681b4ea, + (q31_t)0x28448c81, (q31_t)0x867fbabf, + (q31_t)0x283e95a1, (q31_t)0x867dc0e0, (q31_t)0x28389ea8, (q31_t)0x867bc74b, (q31_t)0x2832a796, (q31_t)0x8679ce01, + (q31_t)0x282cb06c, (q31_t)0x8677d503, + (q31_t)0x2826b928, (q31_t)0x8675dc4f, (q31_t)0x2820c1cc, (q31_t)0x8673e3e6, (q31_t)0x281aca57, (q31_t)0x8671ebc8, + (q31_t)0x2814d2c9, (q31_t)0x866ff3f6, + (q31_t)0x280edb23, (q31_t)0x866dfc6e, (q31_t)0x2808e364, (q31_t)0x866c0531, (q31_t)0x2802eb8c, (q31_t)0x866a0e3f, + (q31_t)0x27fcf39c, (q31_t)0x86681798, + (q31_t)0x27f6fb92, (q31_t)0x8666213c, (q31_t)0x27f10371, (q31_t)0x86642b2c, (q31_t)0x27eb0b36, (q31_t)0x86623566, + (q31_t)0x27e512e3, (q31_t)0x86603feb, + (q31_t)0x27df1a77, (q31_t)0x865e4abb, (q31_t)0x27d921f3, (q31_t)0x865c55d7, (q31_t)0x27d32956, (q31_t)0x865a613d, + (q31_t)0x27cd30a1, (q31_t)0x86586cee, + (q31_t)0x27c737d3, (q31_t)0x865678eb, (q31_t)0x27c13eec, (q31_t)0x86548532, (q31_t)0x27bb45ed, (q31_t)0x865291c4, + (q31_t)0x27b54cd6, (q31_t)0x86509ea2, + (q31_t)0x27af53a6, (q31_t)0x864eabcb, (q31_t)0x27a95a5d, (q31_t)0x864cb93e, (q31_t)0x27a360fc, (q31_t)0x864ac6fd, + (q31_t)0x279d6783, (q31_t)0x8648d507, + (q31_t)0x27976df1, (q31_t)0x8646e35c, (q31_t)0x27917447, (q31_t)0x8644f1fc, (q31_t)0x278b7a84, (q31_t)0x864300e7, + (q31_t)0x278580a9, (q31_t)0x8641101d, + (q31_t)0x277f86b5, (q31_t)0x863f1f9e, (q31_t)0x27798caa, (q31_t)0x863d2f6b, (q31_t)0x27739285, (q31_t)0x863b3f82, + (q31_t)0x276d9849, (q31_t)0x86394fe5, + (q31_t)0x27679df4, (q31_t)0x86376092, (q31_t)0x2761a387, (q31_t)0x8635718b, (q31_t)0x275ba901, (q31_t)0x863382cf, + (q31_t)0x2755ae64, (q31_t)0x8631945e, + (q31_t)0x274fb3ae, (q31_t)0x862fa638, (q31_t)0x2749b8e0, (q31_t)0x862db85e, (q31_t)0x2743bdf9, (q31_t)0x862bcace, + (q31_t)0x273dc2fa, (q31_t)0x8629dd8a, + (q31_t)0x2737c7e3, (q31_t)0x8627f091, (q31_t)0x2731ccb4, (q31_t)0x862603e3, (q31_t)0x272bd16d, (q31_t)0x86241780, + (q31_t)0x2725d60e, (q31_t)0x86222b68, + (q31_t)0x271fda96, (q31_t)0x86203f9c, (q31_t)0x2719df06, (q31_t)0x861e541a, (q31_t)0x2713e35f, (q31_t)0x861c68e4, + (q31_t)0x270de79f, (q31_t)0x861a7df9, + (q31_t)0x2707ebc7, (q31_t)0x86189359, (q31_t)0x2701efd7, (q31_t)0x8616a905, (q31_t)0x26fbf3ce, (q31_t)0x8614befb, + (q31_t)0x26f5f7ae, (q31_t)0x8612d53d, + (q31_t)0x26effb76, (q31_t)0x8610ebca, (q31_t)0x26e9ff26, (q31_t)0x860f02a3, (q31_t)0x26e402bd, (q31_t)0x860d19c6, + (q31_t)0x26de063d, (q31_t)0x860b3135, + (q31_t)0x26d809a5, (q31_t)0x860948ef, (q31_t)0x26d20cf5, (q31_t)0x860760f4, (q31_t)0x26cc102d, (q31_t)0x86057944, + (q31_t)0x26c6134d, (q31_t)0x860391e0, + (q31_t)0x26c01655, (q31_t)0x8601aac7, (q31_t)0x26ba1945, (q31_t)0x85ffc3f9, (q31_t)0x26b41c1d, (q31_t)0x85fddd76, + (q31_t)0x26ae1edd, (q31_t)0x85fbf73f, + (q31_t)0x26a82186, (q31_t)0x85fa1153, (q31_t)0x26a22416, (q31_t)0x85f82bb2, (q31_t)0x269c268f, (q31_t)0x85f6465c, + (q31_t)0x269628f0, (q31_t)0x85f46152, + (q31_t)0x26902b39, (q31_t)0x85f27c93, (q31_t)0x268a2d6b, (q31_t)0x85f09820, (q31_t)0x26842f84, (q31_t)0x85eeb3f7, + (q31_t)0x267e3186, (q31_t)0x85ecd01a, + (q31_t)0x26783370, (q31_t)0x85eaec88, (q31_t)0x26723543, (q31_t)0x85e90942, (q31_t)0x266c36fe, (q31_t)0x85e72647, + (q31_t)0x266638a1, (q31_t)0x85e54397, + (q31_t)0x26603a2c, (q31_t)0x85e36132, (q31_t)0x265a3b9f, (q31_t)0x85e17f19, (q31_t)0x26543cfb, (q31_t)0x85df9d4b, + (q31_t)0x264e3e40, (q31_t)0x85ddbbc9, + (q31_t)0x26483f6c, (q31_t)0x85dbda91, (q31_t)0x26424082, (q31_t)0x85d9f9a5, (q31_t)0x263c417f, (q31_t)0x85d81905, + (q31_t)0x26364265, (q31_t)0x85d638b0, + (q31_t)0x26304333, (q31_t)0x85d458a6, (q31_t)0x262a43ea, (q31_t)0x85d278e7, (q31_t)0x26244489, (q31_t)0x85d09974, + (q31_t)0x261e4511, (q31_t)0x85ceba4d, + (q31_t)0x26184581, (q31_t)0x85ccdb70, (q31_t)0x261245da, (q31_t)0x85cafcdf, (q31_t)0x260c461b, (q31_t)0x85c91e9a, + (q31_t)0x26064645, (q31_t)0x85c740a0, + (q31_t)0x26004657, (q31_t)0x85c562f1, (q31_t)0x25fa4652, (q31_t)0x85c3858d, (q31_t)0x25f44635, (q31_t)0x85c1a875, + (q31_t)0x25ee4601, (q31_t)0x85bfcba9, + (q31_t)0x25e845b6, (q31_t)0x85bdef28, (q31_t)0x25e24553, (q31_t)0x85bc12f2, (q31_t)0x25dc44d9, (q31_t)0x85ba3707, + (q31_t)0x25d64447, (q31_t)0x85b85b68, + (q31_t)0x25d0439f, (q31_t)0x85b68015, (q31_t)0x25ca42de, (q31_t)0x85b4a50d, (q31_t)0x25c44207, (q31_t)0x85b2ca50, + (q31_t)0x25be4118, (q31_t)0x85b0efdf, + (q31_t)0x25b84012, (q31_t)0x85af15b9, (q31_t)0x25b23ef5, (q31_t)0x85ad3bdf, (q31_t)0x25ac3dc0, (q31_t)0x85ab6250, + (q31_t)0x25a63c74, (q31_t)0x85a9890d, + (q31_t)0x25a03b11, (q31_t)0x85a7b015, (q31_t)0x259a3997, (q31_t)0x85a5d768, (q31_t)0x25943806, (q31_t)0x85a3ff07, + (q31_t)0x258e365d, (q31_t)0x85a226f2, + (q31_t)0x2588349d, (q31_t)0x85a04f28, (q31_t)0x258232c6, (q31_t)0x859e77a9, (q31_t)0x257c30d8, (q31_t)0x859ca076, + (q31_t)0x25762ed3, (q31_t)0x859ac98f, + (q31_t)0x25702cb7, (q31_t)0x8598f2f3, (q31_t)0x256a2a83, (q31_t)0x85971ca2, (q31_t)0x25642839, (q31_t)0x8595469d, + (q31_t)0x255e25d7, (q31_t)0x859370e4, + (q31_t)0x2558235f, (q31_t)0x85919b76, (q31_t)0x255220cf, (q31_t)0x858fc653, (q31_t)0x254c1e28, (q31_t)0x858df17c, + (q31_t)0x25461b6b, (q31_t)0x858c1cf1, + (q31_t)0x25401896, (q31_t)0x858a48b1, (q31_t)0x253a15aa, (q31_t)0x858874bd, (q31_t)0x253412a8, (q31_t)0x8586a114, + (q31_t)0x252e0f8e, (q31_t)0x8584cdb7, + (q31_t)0x25280c5e, (q31_t)0x8582faa5, (q31_t)0x25220916, (q31_t)0x858127df, (q31_t)0x251c05b8, (q31_t)0x857f5564, + (q31_t)0x25160243, (q31_t)0x857d8335, + (q31_t)0x250ffeb7, (q31_t)0x857bb152, (q31_t)0x2509fb14, (q31_t)0x8579dfba, (q31_t)0x2503f75a, (q31_t)0x85780e6e, + (q31_t)0x24fdf389, (q31_t)0x85763d6d, + (q31_t)0x24f7efa2, (q31_t)0x85746cb8, (q31_t)0x24f1eba4, (q31_t)0x85729c4e, (q31_t)0x24ebe78f, (q31_t)0x8570cc30, + (q31_t)0x24e5e363, (q31_t)0x856efc5e, + (q31_t)0x24dfdf20, (q31_t)0x856d2cd7, (q31_t)0x24d9dac7, (q31_t)0x856b5d9c, (q31_t)0x24d3d657, (q31_t)0x85698ead, + (q31_t)0x24cdd1d0, (q31_t)0x8567c009, + (q31_t)0x24c7cd33, (q31_t)0x8565f1b0, (q31_t)0x24c1c87f, (q31_t)0x856423a4, (q31_t)0x24bbc3b4, (q31_t)0x856255e3, + (q31_t)0x24b5bed2, (q31_t)0x8560886d, + (q31_t)0x24afb9da, (q31_t)0x855ebb44, (q31_t)0x24a9b4cb, (q31_t)0x855cee66, (q31_t)0x24a3afa6, (q31_t)0x855b21d3, + (q31_t)0x249daa6a, (q31_t)0x8559558c, + (q31_t)0x2497a517, (q31_t)0x85578991, (q31_t)0x24919fae, (q31_t)0x8555bde2, (q31_t)0x248b9a2f, (q31_t)0x8553f27e, + (q31_t)0x24859498, (q31_t)0x85522766, + (q31_t)0x247f8eec, (q31_t)0x85505c99, (q31_t)0x24798928, (q31_t)0x854e9219, (q31_t)0x2473834f, (q31_t)0x854cc7e3, + (q31_t)0x246d7d5e, (q31_t)0x854afdfa, + (q31_t)0x24677758, (q31_t)0x8549345c, (q31_t)0x2461713a, (q31_t)0x85476b0a, (q31_t)0x245b6b07, (q31_t)0x8545a204, + (q31_t)0x245564bd, (q31_t)0x8543d949, + (q31_t)0x244f5e5c, (q31_t)0x854210db, (q31_t)0x244957e5, (q31_t)0x854048b7, (q31_t)0x24435158, (q31_t)0x853e80e0, + (q31_t)0x243d4ab4, (q31_t)0x853cb954, + (q31_t)0x243743fa, (q31_t)0x853af214, (q31_t)0x24313d2a, (q31_t)0x85392b20, (q31_t)0x242b3644, (q31_t)0x85376477, + (q31_t)0x24252f47, (q31_t)0x85359e1a, + (q31_t)0x241f2833, (q31_t)0x8533d809, (q31_t)0x2419210a, (q31_t)0x85321244, (q31_t)0x241319ca, (q31_t)0x85304cca, + (q31_t)0x240d1274, (q31_t)0x852e879d, + (q31_t)0x24070b08, (q31_t)0x852cc2bb, (q31_t)0x24010385, (q31_t)0x852afe24, (q31_t)0x23fafbec, (q31_t)0x852939da, + (q31_t)0x23f4f43e, (q31_t)0x852775db, + (q31_t)0x23eeec78, (q31_t)0x8525b228, (q31_t)0x23e8e49d, (q31_t)0x8523eec1, (q31_t)0x23e2dcac, (q31_t)0x85222ba5, + (q31_t)0x23dcd4a4, (q31_t)0x852068d6, + (q31_t)0x23d6cc87, (q31_t)0x851ea652, (q31_t)0x23d0c453, (q31_t)0x851ce41a, (q31_t)0x23cabc09, (q31_t)0x851b222e, + (q31_t)0x23c4b3a9, (q31_t)0x8519608d, + (q31_t)0x23beab33, (q31_t)0x85179f39, (q31_t)0x23b8a2a7, (q31_t)0x8515de30, (q31_t)0x23b29a05, (q31_t)0x85141d73, + (q31_t)0x23ac914d, (q31_t)0x85125d02, + (q31_t)0x23a6887f, (q31_t)0x85109cdd, (q31_t)0x23a07f9a, (q31_t)0x850edd03, (q31_t)0x239a76a0, (q31_t)0x850d1d75, + (q31_t)0x23946d90, (q31_t)0x850b5e34, + (q31_t)0x238e646a, (q31_t)0x85099f3e, (q31_t)0x23885b2e, (q31_t)0x8507e094, (q31_t)0x238251dd, (q31_t)0x85062235, + (q31_t)0x237c4875, (q31_t)0x85046423, + (q31_t)0x23763ef7, (q31_t)0x8502a65c, (q31_t)0x23703564, (q31_t)0x8500e8e2, (q31_t)0x236a2bba, (q31_t)0x84ff2bb3, + (q31_t)0x236421fb, (q31_t)0x84fd6ed0, + (q31_t)0x235e1826, (q31_t)0x84fbb239, (q31_t)0x23580e3b, (q31_t)0x84f9f5ee, (q31_t)0x2352043b, (q31_t)0x84f839ee, + (q31_t)0x234bfa24, (q31_t)0x84f67e3b, + (q31_t)0x2345eff8, (q31_t)0x84f4c2d4, (q31_t)0x233fe5b6, (q31_t)0x84f307b8, (q31_t)0x2339db5e, (q31_t)0x84f14ce8, + (q31_t)0x2333d0f1, (q31_t)0x84ef9265, + (q31_t)0x232dc66d, (q31_t)0x84edd82d, (q31_t)0x2327bbd5, (q31_t)0x84ec1e41, (q31_t)0x2321b126, (q31_t)0x84ea64a1, + (q31_t)0x231ba662, (q31_t)0x84e8ab4d, + (q31_t)0x23159b88, (q31_t)0x84e6f244, (q31_t)0x230f9098, (q31_t)0x84e53988, (q31_t)0x23098593, (q31_t)0x84e38118, + (q31_t)0x23037a78, (q31_t)0x84e1c8f3, + (q31_t)0x22fd6f48, (q31_t)0x84e0111b, (q31_t)0x22f76402, (q31_t)0x84de598f, (q31_t)0x22f158a7, (q31_t)0x84dca24e, + (q31_t)0x22eb4d36, (q31_t)0x84daeb5a, + (q31_t)0x22e541af, (q31_t)0x84d934b1, (q31_t)0x22df3613, (q31_t)0x84d77e54, (q31_t)0x22d92a61, (q31_t)0x84d5c844, + (q31_t)0x22d31e9a, (q31_t)0x84d4127f, + (q31_t)0x22cd12bd, (q31_t)0x84d25d06, (q31_t)0x22c706cb, (q31_t)0x84d0a7da, (q31_t)0x22c0fac4, (q31_t)0x84cef2f9, + (q31_t)0x22baeea7, (q31_t)0x84cd3e64, + (q31_t)0x22b4e274, (q31_t)0x84cb8a1b, (q31_t)0x22aed62c, (q31_t)0x84c9d61f, (q31_t)0x22a8c9cf, (q31_t)0x84c8226e, + (q31_t)0x22a2bd5d, (q31_t)0x84c66f09, + (q31_t)0x229cb0d5, (q31_t)0x84c4bbf0, (q31_t)0x2296a437, (q31_t)0x84c30924, (q31_t)0x22909785, (q31_t)0x84c156a3, + (q31_t)0x228a8abd, (q31_t)0x84bfa46e, + (q31_t)0x22847de0, (q31_t)0x84bdf286, (q31_t)0x227e70ed, (q31_t)0x84bc40e9, (q31_t)0x227863e5, (q31_t)0x84ba8f98, + (q31_t)0x227256c8, (q31_t)0x84b8de94, + (q31_t)0x226c4996, (q31_t)0x84b72ddb, (q31_t)0x22663c4e, (q31_t)0x84b57d6f, (q31_t)0x22602ef1, (q31_t)0x84b3cd4f, + (q31_t)0x225a217f, (q31_t)0x84b21d7a, + (q31_t)0x225413f8, (q31_t)0x84b06df2, (q31_t)0x224e065c, (q31_t)0x84aebeb6, (q31_t)0x2247f8aa, (q31_t)0x84ad0fc6, + (q31_t)0x2241eae3, (q31_t)0x84ab6122, + (q31_t)0x223bdd08, (q31_t)0x84a9b2ca, (q31_t)0x2235cf17, (q31_t)0x84a804be, (q31_t)0x222fc111, (q31_t)0x84a656fe, + (q31_t)0x2229b2f6, (q31_t)0x84a4a98a, + (q31_t)0x2223a4c5, (q31_t)0x84a2fc62, (q31_t)0x221d9680, (q31_t)0x84a14f87, (q31_t)0x22178826, (q31_t)0x849fa2f7, + (q31_t)0x221179b7, (q31_t)0x849df6b4, + (q31_t)0x220b6b32, (q31_t)0x849c4abd, (q31_t)0x22055c99, (q31_t)0x849a9f12, (q31_t)0x21ff4dea, (q31_t)0x8498f3b3, + (q31_t)0x21f93f27, (q31_t)0x849748a0, + (q31_t)0x21f3304f, (q31_t)0x84959dd9, (q31_t)0x21ed2162, (q31_t)0x8493f35e, (q31_t)0x21e71260, (q31_t)0x84924930, + (q31_t)0x21e10349, (q31_t)0x84909f4e, + (q31_t)0x21daf41d, (q31_t)0x848ef5b7, (q31_t)0x21d4e4dc, (q31_t)0x848d4c6d, (q31_t)0x21ced586, (q31_t)0x848ba36f, + (q31_t)0x21c8c61c, (q31_t)0x8489fabe, + (q31_t)0x21c2b69c, (q31_t)0x84885258, (q31_t)0x21bca708, (q31_t)0x8486aa3e, (q31_t)0x21b6975f, (q31_t)0x84850271, + (q31_t)0x21b087a1, (q31_t)0x84835af0, + (q31_t)0x21aa77cf, (q31_t)0x8481b3bb, (q31_t)0x21a467e7, (q31_t)0x84800cd2, (q31_t)0x219e57eb, (q31_t)0x847e6636, + (q31_t)0x219847da, (q31_t)0x847cbfe5, + (q31_t)0x219237b5, (q31_t)0x847b19e1, (q31_t)0x218c277a, (q31_t)0x84797429, (q31_t)0x2186172b, (q31_t)0x8477cebd, + (q31_t)0x218006c8, (q31_t)0x8476299e, + (q31_t)0x2179f64f, (q31_t)0x847484ca, (q31_t)0x2173e5c2, (q31_t)0x8472e043, (q31_t)0x216dd521, (q31_t)0x84713c08, + (q31_t)0x2167c46b, (q31_t)0x846f9819, + (q31_t)0x2161b3a0, (q31_t)0x846df477, (q31_t)0x215ba2c0, (q31_t)0x846c5120, (q31_t)0x215591cc, (q31_t)0x846aae16, + (q31_t)0x214f80c4, (q31_t)0x84690b58, + (q31_t)0x21496fa7, (q31_t)0x846768e7, (q31_t)0x21435e75, (q31_t)0x8465c6c1, (q31_t)0x213d4d2f, (q31_t)0x846424e8, + (q31_t)0x21373bd4, (q31_t)0x8462835b, + (q31_t)0x21312a65, (q31_t)0x8460e21a, (q31_t)0x212b18e1, (q31_t)0x845f4126, (q31_t)0x21250749, (q31_t)0x845da07e, + (q31_t)0x211ef59d, (q31_t)0x845c0022, + (q31_t)0x2118e3dc, (q31_t)0x845a6012, (q31_t)0x2112d206, (q31_t)0x8458c04f, (q31_t)0x210cc01d, (q31_t)0x845720d8, + (q31_t)0x2106ae1e, (q31_t)0x845581ad, + (q31_t)0x21009c0c, (q31_t)0x8453e2cf, (q31_t)0x20fa89e5, (q31_t)0x8452443d, (q31_t)0x20f477aa, (q31_t)0x8450a5f7, + (q31_t)0x20ee655a, (q31_t)0x844f07fd, + (q31_t)0x20e852f6, (q31_t)0x844d6a50, (q31_t)0x20e2407e, (q31_t)0x844bccef, (q31_t)0x20dc2df2, (q31_t)0x844a2fda, + (q31_t)0x20d61b51, (q31_t)0x84489311, + (q31_t)0x20d0089c, (q31_t)0x8446f695, (q31_t)0x20c9f5d3, (q31_t)0x84455a66, (q31_t)0x20c3e2f5, (q31_t)0x8443be82, + (q31_t)0x20bdd003, (q31_t)0x844222eb, + (q31_t)0x20b7bcfe, (q31_t)0x844087a0, (q31_t)0x20b1a9e4, (q31_t)0x843eeca2, (q31_t)0x20ab96b5, (q31_t)0x843d51f0, + (q31_t)0x20a58373, (q31_t)0x843bb78a, + (q31_t)0x209f701c, (q31_t)0x843a1d70, (q31_t)0x20995cb2, (q31_t)0x843883a3, (q31_t)0x20934933, (q31_t)0x8436ea23, + (q31_t)0x208d35a0, (q31_t)0x843550ee, + (q31_t)0x208721f9, (q31_t)0x8433b806, (q31_t)0x20810e3e, (q31_t)0x84321f6b, (q31_t)0x207afa6f, (q31_t)0x8430871b, + (q31_t)0x2074e68c, (q31_t)0x842eef18, + (q31_t)0x206ed295, (q31_t)0x842d5762, (q31_t)0x2068be8a, (q31_t)0x842bbff8, (q31_t)0x2062aa6b, (q31_t)0x842a28da, + (q31_t)0x205c9638, (q31_t)0x84289209, + (q31_t)0x205681f1, (q31_t)0x8426fb84, (q31_t)0x20506d96, (q31_t)0x8425654b, (q31_t)0x204a5927, (q31_t)0x8423cf5f, + (q31_t)0x204444a4, (q31_t)0x842239bf, + (q31_t)0x203e300d, (q31_t)0x8420a46c, (q31_t)0x20381b63, (q31_t)0x841f0f65, (q31_t)0x203206a4, (q31_t)0x841d7aaa, + (q31_t)0x202bf1d2, (q31_t)0x841be63c, + (q31_t)0x2025dcec, (q31_t)0x841a521a, (q31_t)0x201fc7f2, (q31_t)0x8418be45, (q31_t)0x2019b2e4, (q31_t)0x84172abc, + (q31_t)0x20139dc2, (q31_t)0x84159780, + (q31_t)0x200d888d, (q31_t)0x84140490, (q31_t)0x20077344, (q31_t)0x841271ec, (q31_t)0x20015de7, (q31_t)0x8410df95, + (q31_t)0x1ffb4876, (q31_t)0x840f4d8a, + (q31_t)0x1ff532f2, (q31_t)0x840dbbcc, (q31_t)0x1fef1d59, (q31_t)0x840c2a5a, (q31_t)0x1fe907ae, (q31_t)0x840a9935, + (q31_t)0x1fe2f1ee, (q31_t)0x8409085c, + (q31_t)0x1fdcdc1b, (q31_t)0x840777d0, (q31_t)0x1fd6c634, (q31_t)0x8405e790, (q31_t)0x1fd0b03a, (q31_t)0x8404579d, + (q31_t)0x1fca9a2b, (q31_t)0x8402c7f6, + (q31_t)0x1fc4840a, (q31_t)0x8401389b, (q31_t)0x1fbe6dd4, (q31_t)0x83ffa98d, (q31_t)0x1fb8578b, (q31_t)0x83fe1acc, + (q31_t)0x1fb2412f, (q31_t)0x83fc8c57, + (q31_t)0x1fac2abf, (q31_t)0x83fafe2e, (q31_t)0x1fa6143b, (q31_t)0x83f97052, (q31_t)0x1f9ffda4, (q31_t)0x83f7e2c3, + (q31_t)0x1f99e6fa, (q31_t)0x83f65580, + (q31_t)0x1f93d03c, (q31_t)0x83f4c889, (q31_t)0x1f8db96a, (q31_t)0x83f33bdf, (q31_t)0x1f87a285, (q31_t)0x83f1af82, + (q31_t)0x1f818b8d, (q31_t)0x83f02371, + (q31_t)0x1f7b7481, (q31_t)0x83ee97ad, (q31_t)0x1f755d61, (q31_t)0x83ed0c35, (q31_t)0x1f6f462f, (q31_t)0x83eb810a, + (q31_t)0x1f692ee9, (q31_t)0x83e9f62b, + (q31_t)0x1f63178f, (q31_t)0x83e86b99, (q31_t)0x1f5d0022, (q31_t)0x83e6e153, (q31_t)0x1f56e8a2, (q31_t)0x83e5575a, + (q31_t)0x1f50d10e, (q31_t)0x83e3cdad, + (q31_t)0x1f4ab968, (q31_t)0x83e2444d, (q31_t)0x1f44a1ad, (q31_t)0x83e0bb3a, (q31_t)0x1f3e89e0, (q31_t)0x83df3273, + (q31_t)0x1f3871ff, (q31_t)0x83dda9f9, + (q31_t)0x1f325a0b, (q31_t)0x83dc21cb, (q31_t)0x1f2c4204, (q31_t)0x83da99ea, (q31_t)0x1f2629ea, (q31_t)0x83d91255, + (q31_t)0x1f2011bc, (q31_t)0x83d78b0d, + (q31_t)0x1f19f97b, (q31_t)0x83d60412, (q31_t)0x1f13e127, (q31_t)0x83d47d63, (q31_t)0x1f0dc8c0, (q31_t)0x83d2f701, + (q31_t)0x1f07b045, (q31_t)0x83d170eb, + (q31_t)0x1f0197b8, (q31_t)0x83cfeb22, (q31_t)0x1efb7f17, (q31_t)0x83ce65a6, (q31_t)0x1ef56664, (q31_t)0x83cce076, + (q31_t)0x1eef4d9d, (q31_t)0x83cb5b93, + (q31_t)0x1ee934c3, (q31_t)0x83c9d6fc, (q31_t)0x1ee31bd6, (q31_t)0x83c852b2, (q31_t)0x1edd02d6, (q31_t)0x83c6ceb5, + (q31_t)0x1ed6e9c3, (q31_t)0x83c54b04, + (q31_t)0x1ed0d09d, (q31_t)0x83c3c7a0, (q31_t)0x1ecab763, (q31_t)0x83c24488, (q31_t)0x1ec49e17, (q31_t)0x83c0c1be, + (q31_t)0x1ebe84b8, (q31_t)0x83bf3f3f, + (q31_t)0x1eb86b46, (q31_t)0x83bdbd0e, (q31_t)0x1eb251c1, (q31_t)0x83bc3b29, (q31_t)0x1eac3829, (q31_t)0x83bab991, + (q31_t)0x1ea61e7e, (q31_t)0x83b93845, + (q31_t)0x1ea004c1, (q31_t)0x83b7b746, (q31_t)0x1e99eaf0, (q31_t)0x83b63694, (q31_t)0x1e93d10c, (q31_t)0x83b4b62e, + (q31_t)0x1e8db716, (q31_t)0x83b33616, + (q31_t)0x1e879d0d, (q31_t)0x83b1b649, (q31_t)0x1e8182f1, (q31_t)0x83b036ca, (q31_t)0x1e7b68c2, (q31_t)0x83aeb797, + (q31_t)0x1e754e80, (q31_t)0x83ad38b1, + (q31_t)0x1e6f342c, (q31_t)0x83abba17, (q31_t)0x1e6919c4, (q31_t)0x83aa3bca, (q31_t)0x1e62ff4a, (q31_t)0x83a8bdca, + (q31_t)0x1e5ce4be, (q31_t)0x83a74017, + (q31_t)0x1e56ca1e, (q31_t)0x83a5c2b0, (q31_t)0x1e50af6c, (q31_t)0x83a44596, (q31_t)0x1e4a94a7, (q31_t)0x83a2c8c9, + (q31_t)0x1e4479cf, (q31_t)0x83a14c48, + (q31_t)0x1e3e5ee5, (q31_t)0x839fd014, (q31_t)0x1e3843e8, (q31_t)0x839e542d, (q31_t)0x1e3228d9, (q31_t)0x839cd893, + (q31_t)0x1e2c0db6, (q31_t)0x839b5d45, + (q31_t)0x1e25f282, (q31_t)0x8399e244, (q31_t)0x1e1fd73a, (q31_t)0x83986790, (q31_t)0x1e19bbe0, (q31_t)0x8396ed29, + (q31_t)0x1e13a074, (q31_t)0x8395730e, + (q31_t)0x1e0d84f5, (q31_t)0x8393f940, (q31_t)0x1e076963, (q31_t)0x83927fbf, (q31_t)0x1e014dbf, (q31_t)0x8391068a, + (q31_t)0x1dfb3208, (q31_t)0x838f8da2, + (q31_t)0x1df5163f, (q31_t)0x838e1507, (q31_t)0x1deefa63, (q31_t)0x838c9cb9, (q31_t)0x1de8de75, (q31_t)0x838b24b8, + (q31_t)0x1de2c275, (q31_t)0x8389ad03, + (q31_t)0x1ddca662, (q31_t)0x8388359b, (q31_t)0x1dd68a3c, (q31_t)0x8386be80, (q31_t)0x1dd06e04, (q31_t)0x838547b2, + (q31_t)0x1dca51ba, (q31_t)0x8383d130, + (q31_t)0x1dc4355e, (q31_t)0x83825afb, (q31_t)0x1dbe18ef, (q31_t)0x8380e513, (q31_t)0x1db7fc6d, (q31_t)0x837f6f78, + (q31_t)0x1db1dfda, (q31_t)0x837dfa2a, + (q31_t)0x1dabc334, (q31_t)0x837c8528, (q31_t)0x1da5a67c, (q31_t)0x837b1074, (q31_t)0x1d9f89b1, (q31_t)0x83799c0c, + (q31_t)0x1d996cd4, (q31_t)0x837827f0, + (q31_t)0x1d934fe5, (q31_t)0x8376b422, (q31_t)0x1d8d32e4, (q31_t)0x837540a1, (q31_t)0x1d8715d0, (q31_t)0x8373cd6c, + (q31_t)0x1d80f8ab, (q31_t)0x83725a84, + (q31_t)0x1d7adb73, (q31_t)0x8370e7e9, (q31_t)0x1d74be29, (q31_t)0x836f759b, (q31_t)0x1d6ea0cc, (q31_t)0x836e039a, + (q31_t)0x1d68835e, (q31_t)0x836c91e5, + (q31_t)0x1d6265dd, (q31_t)0x836b207d, (q31_t)0x1d5c484b, (q31_t)0x8369af63, (q31_t)0x1d562aa6, (q31_t)0x83683e95, + (q31_t)0x1d500cef, (q31_t)0x8366ce14, + (q31_t)0x1d49ef26, (q31_t)0x83655ddf, (q31_t)0x1d43d14b, (q31_t)0x8363edf8, (q31_t)0x1d3db35e, (q31_t)0x83627e5d, + (q31_t)0x1d37955e, (q31_t)0x83610f10, + (q31_t)0x1d31774d, (q31_t)0x835fa00f, (q31_t)0x1d2b592a, (q31_t)0x835e315b, (q31_t)0x1d253af5, (q31_t)0x835cc2f4, + (q31_t)0x1d1f1cae, (q31_t)0x835b54da, + (q31_t)0x1d18fe54, (q31_t)0x8359e70d, (q31_t)0x1d12dfe9, (q31_t)0x8358798c, (q31_t)0x1d0cc16c, (q31_t)0x83570c59, + (q31_t)0x1d06a2dd, (q31_t)0x83559f72, + (q31_t)0x1d00843d, (q31_t)0x835432d8, (q31_t)0x1cfa658a, (q31_t)0x8352c68c, (q31_t)0x1cf446c5, (q31_t)0x83515a8c, + (q31_t)0x1cee27ef, (q31_t)0x834feed9, + (q31_t)0x1ce80906, (q31_t)0x834e8373, (q31_t)0x1ce1ea0c, (q31_t)0x834d185a, (q31_t)0x1cdbcb00, (q31_t)0x834bad8e, + (q31_t)0x1cd5abe3, (q31_t)0x834a430e, + (q31_t)0x1ccf8cb3, (q31_t)0x8348d8dc, (q31_t)0x1cc96d72, (q31_t)0x83476ef6, (q31_t)0x1cc34e1f, (q31_t)0x8346055e, + (q31_t)0x1cbd2eba, (q31_t)0x83449c12, + (q31_t)0x1cb70f43, (q31_t)0x83433314, (q31_t)0x1cb0efbb, (q31_t)0x8341ca62, (q31_t)0x1caad021, (q31_t)0x834061fd, + (q31_t)0x1ca4b075, (q31_t)0x833ef9e6, + (q31_t)0x1c9e90b8, (q31_t)0x833d921b, (q31_t)0x1c9870e9, (q31_t)0x833c2a9d, (q31_t)0x1c925109, (q31_t)0x833ac36c, + (q31_t)0x1c8c3116, (q31_t)0x83395c88, + (q31_t)0x1c861113, (q31_t)0x8337f5f1, (q31_t)0x1c7ff0fd, (q31_t)0x83368fa7, (q31_t)0x1c79d0d6, (q31_t)0x833529aa, + (q31_t)0x1c73b09d, (q31_t)0x8333c3fa, + (q31_t)0x1c6d9053, (q31_t)0x83325e97, (q31_t)0x1c676ff8, (q31_t)0x8330f981, (q31_t)0x1c614f8b, (q31_t)0x832f94b8, + (q31_t)0x1c5b2f0c, (q31_t)0x832e303c, + (q31_t)0x1c550e7c, (q31_t)0x832ccc0d, (q31_t)0x1c4eedda, (q31_t)0x832b682b, (q31_t)0x1c48cd27, (q31_t)0x832a0496, + (q31_t)0x1c42ac62, (q31_t)0x8328a14d, + (q31_t)0x1c3c8b8c, (q31_t)0x83273e52, (q31_t)0x1c366aa5, (q31_t)0x8325dba4, (q31_t)0x1c3049ac, (q31_t)0x83247943, + (q31_t)0x1c2a28a2, (q31_t)0x8323172f, + (q31_t)0x1c240786, (q31_t)0x8321b568, (q31_t)0x1c1de659, (q31_t)0x832053ee, (q31_t)0x1c17c51b, (q31_t)0x831ef2c1, + (q31_t)0x1c11a3cb, (q31_t)0x831d91e1, + (q31_t)0x1c0b826a, (q31_t)0x831c314e, (q31_t)0x1c0560f8, (q31_t)0x831ad109, (q31_t)0x1bff3f75, (q31_t)0x83197110, + (q31_t)0x1bf91de0, (q31_t)0x83181164, + (q31_t)0x1bf2fc3a, (q31_t)0x8316b205, (q31_t)0x1becda83, (q31_t)0x831552f4, (q31_t)0x1be6b8ba, (q31_t)0x8313f42f, + (q31_t)0x1be096e0, (q31_t)0x831295b7, + (q31_t)0x1bda74f6, (q31_t)0x8311378d, (q31_t)0x1bd452f9, (q31_t)0x830fd9af, (q31_t)0x1bce30ec, (q31_t)0x830e7c1f, + (q31_t)0x1bc80ece, (q31_t)0x830d1edc, + (q31_t)0x1bc1ec9e, (q31_t)0x830bc1e6, (q31_t)0x1bbbca5e, (q31_t)0x830a653c, (q31_t)0x1bb5a80c, (q31_t)0x830908e0, + (q31_t)0x1baf85a9, (q31_t)0x8307acd1, + (q31_t)0x1ba96335, (q31_t)0x83065110, (q31_t)0x1ba340b0, (q31_t)0x8304f59b, (q31_t)0x1b9d1e1a, (q31_t)0x83039a73, + (q31_t)0x1b96fb73, (q31_t)0x83023f98, + (q31_t)0x1b90d8bb, (q31_t)0x8300e50b, (q31_t)0x1b8ab5f2, (q31_t)0x82ff8acb, (q31_t)0x1b849317, (q31_t)0x82fe30d7, + (q31_t)0x1b7e702c, (q31_t)0x82fcd731, + (q31_t)0x1b784d30, (q31_t)0x82fb7dd8, (q31_t)0x1b722a23, (q31_t)0x82fa24cc, (q31_t)0x1b6c0705, (q31_t)0x82f8cc0d, + (q31_t)0x1b65e3d7, (q31_t)0x82f7739c, + (q31_t)0x1b5fc097, (q31_t)0x82f61b77, (q31_t)0x1b599d46, (q31_t)0x82f4c3a0, (q31_t)0x1b5379e5, (q31_t)0x82f36c15, + (q31_t)0x1b4d5672, (q31_t)0x82f214d8, + (q31_t)0x1b4732ef, (q31_t)0x82f0bde8, (q31_t)0x1b410f5b, (q31_t)0x82ef6745, (q31_t)0x1b3aebb6, (q31_t)0x82ee10ef, + (q31_t)0x1b34c801, (q31_t)0x82ecbae7, + (q31_t)0x1b2ea43a, (q31_t)0x82eb652b, (q31_t)0x1b288063, (q31_t)0x82ea0fbd, (q31_t)0x1b225c7b, (q31_t)0x82e8ba9c, + (q31_t)0x1b1c3883, (q31_t)0x82e765c8, + (q31_t)0x1b161479, (q31_t)0x82e61141, (q31_t)0x1b0ff05f, (q31_t)0x82e4bd07, (q31_t)0x1b09cc34, (q31_t)0x82e3691b, + (q31_t)0x1b03a7f9, (q31_t)0x82e2157c, + (q31_t)0x1afd83ad, (q31_t)0x82e0c22a, (q31_t)0x1af75f50, (q31_t)0x82df6f25, (q31_t)0x1af13ae3, (q31_t)0x82de1c6d, + (q31_t)0x1aeb1665, (q31_t)0x82dcca02, + (q31_t)0x1ae4f1d6, (q31_t)0x82db77e5, (q31_t)0x1adecd37, (q31_t)0x82da2615, (q31_t)0x1ad8a887, (q31_t)0x82d8d492, + (q31_t)0x1ad283c7, (q31_t)0x82d7835c, + (q31_t)0x1acc5ef6, (q31_t)0x82d63274, (q31_t)0x1ac63a14, (q31_t)0x82d4e1d8, (q31_t)0x1ac01522, (q31_t)0x82d3918a, + (q31_t)0x1ab9f020, (q31_t)0x82d24189, + (q31_t)0x1ab3cb0d, (q31_t)0x82d0f1d5, (q31_t)0x1aada5e9, (q31_t)0x82cfa26f, (q31_t)0x1aa780b6, (q31_t)0x82ce5356, + (q31_t)0x1aa15b71, (q31_t)0x82cd048a, + (q31_t)0x1a9b361d, (q31_t)0x82cbb60b, (q31_t)0x1a9510b7, (q31_t)0x82ca67d9, (q31_t)0x1a8eeb42, (q31_t)0x82c919f5, + (q31_t)0x1a88c5bc, (q31_t)0x82c7cc5e, + (q31_t)0x1a82a026, (q31_t)0x82c67f14, (q31_t)0x1a7c7a7f, (q31_t)0x82c53217, (q31_t)0x1a7654c8, (q31_t)0x82c3e568, + (q31_t)0x1a702f01, (q31_t)0x82c29906, + (q31_t)0x1a6a0929, (q31_t)0x82c14cf1, (q31_t)0x1a63e341, (q31_t)0x82c00129, (q31_t)0x1a5dbd49, (q31_t)0x82beb5af, + (q31_t)0x1a579741, (q31_t)0x82bd6a82, + (q31_t)0x1a517128, (q31_t)0x82bc1fa2, (q31_t)0x1a4b4aff, (q31_t)0x82bad50f, (q31_t)0x1a4524c6, (q31_t)0x82b98aca, + (q31_t)0x1a3efe7c, (q31_t)0x82b840d2, + (q31_t)0x1a38d823, (q31_t)0x82b6f727, (q31_t)0x1a32b1b9, (q31_t)0x82b5adca, (q31_t)0x1a2c8b3f, (q31_t)0x82b464ba, + (q31_t)0x1a2664b5, (q31_t)0x82b31bf7, + (q31_t)0x1a203e1b, (q31_t)0x82b1d381, (q31_t)0x1a1a1771, (q31_t)0x82b08b59, (q31_t)0x1a13f0b6, (q31_t)0x82af437e, + (q31_t)0x1a0dc9ec, (q31_t)0x82adfbf0, + (q31_t)0x1a07a311, (q31_t)0x82acb4b0, (q31_t)0x1a017c27, (q31_t)0x82ab6dbd, (q31_t)0x19fb552c, (q31_t)0x82aa2717, + (q31_t)0x19f52e22, (q31_t)0x82a8e0bf, + (q31_t)0x19ef0707, (q31_t)0x82a79ab3, (q31_t)0x19e8dfdc, (q31_t)0x82a654f6, (q31_t)0x19e2b8a2, (q31_t)0x82a50f85, + (q31_t)0x19dc9157, (q31_t)0x82a3ca62, + (q31_t)0x19d669fc, (q31_t)0x82a2858c, (q31_t)0x19d04292, (q31_t)0x82a14104, (q31_t)0x19ca1b17, (q31_t)0x829ffcc8, + (q31_t)0x19c3f38d, (q31_t)0x829eb8db, + (q31_t)0x19bdcbf3, (q31_t)0x829d753a, (q31_t)0x19b7a449, (q31_t)0x829c31e7, (q31_t)0x19b17c8f, (q31_t)0x829aeee1, + (q31_t)0x19ab54c5, (q31_t)0x8299ac29, + (q31_t)0x19a52ceb, (q31_t)0x829869be, (q31_t)0x199f0502, (q31_t)0x829727a0, (q31_t)0x1998dd09, (q31_t)0x8295e5cf, + (q31_t)0x1992b4ff, (q31_t)0x8294a44c, + (q31_t)0x198c8ce7, (q31_t)0x82936317, (q31_t)0x198664be, (q31_t)0x8292222e, (q31_t)0x19803c86, (q31_t)0x8290e194, + (q31_t)0x197a143e, (q31_t)0x828fa146, + (q31_t)0x1973ebe6, (q31_t)0x828e6146, (q31_t)0x196dc37e, (q31_t)0x828d2193, (q31_t)0x19679b07, (q31_t)0x828be22e, + (q31_t)0x19617280, (q31_t)0x828aa316, + (q31_t)0x195b49ea, (q31_t)0x8289644b, (q31_t)0x19552144, (q31_t)0x828825ce, (q31_t)0x194ef88e, (q31_t)0x8286e79e, + (q31_t)0x1948cfc8, (q31_t)0x8285a9bb, + (q31_t)0x1942a6f3, (q31_t)0x82846c26, (q31_t)0x193c7e0f, (q31_t)0x82832edf, (q31_t)0x1936551b, (q31_t)0x8281f1e4, + (q31_t)0x19302c17, (q31_t)0x8280b538, + (q31_t)0x192a0304, (q31_t)0x827f78d8, (q31_t)0x1923d9e1, (q31_t)0x827e3cc6, (q31_t)0x191db0af, (q31_t)0x827d0102, + (q31_t)0x1917876d, (q31_t)0x827bc58a, + (q31_t)0x19115e1c, (q31_t)0x827a8a61, (q31_t)0x190b34bb, (q31_t)0x82794f84, (q31_t)0x19050b4b, (q31_t)0x827814f6, + (q31_t)0x18fee1cb, (q31_t)0x8276dab4, + (q31_t)0x18f8b83c, (q31_t)0x8275a0c0, (q31_t)0x18f28e9e, (q31_t)0x8274671a, (q31_t)0x18ec64f0, (q31_t)0x82732dc0, + (q31_t)0x18e63b33, (q31_t)0x8271f4b5, + (q31_t)0x18e01167, (q31_t)0x8270bbf7, (q31_t)0x18d9e78b, (q31_t)0x826f8386, (q31_t)0x18d3bda0, (q31_t)0x826e4b62, + (q31_t)0x18cd93a5, (q31_t)0x826d138d, + (q31_t)0x18c7699b, (q31_t)0x826bdc04, (q31_t)0x18c13f82, (q31_t)0x826aa4c9, (q31_t)0x18bb155a, (q31_t)0x82696ddc, + (q31_t)0x18b4eb22, (q31_t)0x8268373c, + (q31_t)0x18aec0db, (q31_t)0x826700e9, (q31_t)0x18a89685, (q31_t)0x8265cae4, (q31_t)0x18a26c20, (q31_t)0x8264952d, + (q31_t)0x189c41ab, (q31_t)0x82635fc2, + (q31_t)0x18961728, (q31_t)0x82622aa6, (q31_t)0x188fec95, (q31_t)0x8260f5d7, (q31_t)0x1889c1f3, (q31_t)0x825fc155, + (q31_t)0x18839742, (q31_t)0x825e8d21, + (q31_t)0x187d6c82, (q31_t)0x825d593a, (q31_t)0x187741b2, (q31_t)0x825c25a1, (q31_t)0x187116d4, (q31_t)0x825af255, + (q31_t)0x186aebe6, (q31_t)0x8259bf57, + (q31_t)0x1864c0ea, (q31_t)0x82588ca7, (q31_t)0x185e95de, (q31_t)0x82575a44, (q31_t)0x18586ac3, (q31_t)0x8256282e, + (q31_t)0x18523f9a, (q31_t)0x8254f666, + (q31_t)0x184c1461, (q31_t)0x8253c4eb, (q31_t)0x1845e919, (q31_t)0x825293be, (q31_t)0x183fbdc3, (q31_t)0x825162df, + (q31_t)0x1839925d, (q31_t)0x8250324d, + (q31_t)0x183366e9, (q31_t)0x824f0208, (q31_t)0x182d3b65, (q31_t)0x824dd211, (q31_t)0x18270fd3, (q31_t)0x824ca268, + (q31_t)0x1820e431, (q31_t)0x824b730c, + (q31_t)0x181ab881, (q31_t)0x824a43fe, (q31_t)0x18148cc2, (q31_t)0x8249153d, (q31_t)0x180e60f4, (q31_t)0x8247e6ca, + (q31_t)0x18083518, (q31_t)0x8246b8a4, + (q31_t)0x1802092c, (q31_t)0x82458acc, (q31_t)0x17fbdd32, (q31_t)0x82445d41, (q31_t)0x17f5b129, (q31_t)0x82433004, + (q31_t)0x17ef8511, (q31_t)0x82420315, + (q31_t)0x17e958ea, (q31_t)0x8240d673, (q31_t)0x17e32cb5, (q31_t)0x823faa1e, (q31_t)0x17dd0070, (q31_t)0x823e7e18, + (q31_t)0x17d6d41d, (q31_t)0x823d525e, + (q31_t)0x17d0a7bc, (q31_t)0x823c26f3, (q31_t)0x17ca7b4c, (q31_t)0x823afbd5, (q31_t)0x17c44ecd, (q31_t)0x8239d104, + (q31_t)0x17be223f, (q31_t)0x8238a681, + (q31_t)0x17b7f5a3, (q31_t)0x82377c4c, (q31_t)0x17b1c8f8, (q31_t)0x82365264, (q31_t)0x17ab9c3e, (q31_t)0x823528ca, + (q31_t)0x17a56f76, (q31_t)0x8233ff7e, + (q31_t)0x179f429f, (q31_t)0x8232d67f, (q31_t)0x179915ba, (q31_t)0x8231adce, (q31_t)0x1792e8c6, (q31_t)0x8230856a, + (q31_t)0x178cbbc4, (q31_t)0x822f5d54, + (q31_t)0x17868eb3, (q31_t)0x822e358b, (q31_t)0x17806194, (q31_t)0x822d0e10, (q31_t)0x177a3466, (q31_t)0x822be6e3, + (q31_t)0x17740729, (q31_t)0x822ac004, + (q31_t)0x176dd9de, (q31_t)0x82299971, (q31_t)0x1767ac85, (q31_t)0x8228732d, (q31_t)0x17617f1d, (q31_t)0x82274d36, + (q31_t)0x175b51a7, (q31_t)0x8226278d, + (q31_t)0x17552422, (q31_t)0x82250232, (q31_t)0x174ef68f, (q31_t)0x8223dd24, (q31_t)0x1748c8ee, (q31_t)0x8222b863, + (q31_t)0x17429b3e, (q31_t)0x822193f1, + (q31_t)0x173c6d80, (q31_t)0x82206fcc, (q31_t)0x17363fb4, (q31_t)0x821f4bf5, (q31_t)0x173011d9, (q31_t)0x821e286b, + (q31_t)0x1729e3f0, (q31_t)0x821d052f, + (q31_t)0x1723b5f9, (q31_t)0x821be240, (q31_t)0x171d87f3, (q31_t)0x821abfa0, (q31_t)0x171759df, (q31_t)0x82199d4d, + (q31_t)0x17112bbd, (q31_t)0x82187b47, + (q31_t)0x170afd8d, (q31_t)0x82175990, (q31_t)0x1704cf4f, (q31_t)0x82163826, (q31_t)0x16fea102, (q31_t)0x82151709, + (q31_t)0x16f872a7, (q31_t)0x8213f63a, + (q31_t)0x16f2443e, (q31_t)0x8212d5b9, (q31_t)0x16ec15c7, (q31_t)0x8211b586, (q31_t)0x16e5e741, (q31_t)0x821095a0, + (q31_t)0x16dfb8ae, (q31_t)0x820f7608, + (q31_t)0x16d98a0c, (q31_t)0x820e56be, (q31_t)0x16d35b5c, (q31_t)0x820d37c1, (q31_t)0x16cd2c9f, (q31_t)0x820c1912, + (q31_t)0x16c6fdd3, (q31_t)0x820afab1, + (q31_t)0x16c0cef9, (q31_t)0x8209dc9e, (q31_t)0x16baa011, (q31_t)0x8208bed8, (q31_t)0x16b4711b, (q31_t)0x8207a160, + (q31_t)0x16ae4217, (q31_t)0x82068435, + (q31_t)0x16a81305, (q31_t)0x82056758, (q31_t)0x16a1e3e5, (q31_t)0x82044ac9, (q31_t)0x169bb4b7, (q31_t)0x82032e88, + (q31_t)0x1695857b, (q31_t)0x82021294, + (q31_t)0x168f5632, (q31_t)0x8200f6ef, (q31_t)0x168926da, (q31_t)0x81ffdb96, (q31_t)0x1682f774, (q31_t)0x81fec08c, + (q31_t)0x167cc801, (q31_t)0x81fda5cf, + (q31_t)0x1676987f, (q31_t)0x81fc8b60, (q31_t)0x167068f0, (q31_t)0x81fb713f, (q31_t)0x166a3953, (q31_t)0x81fa576c, + (q31_t)0x166409a8, (q31_t)0x81f93de6, + (q31_t)0x165dd9f0, (q31_t)0x81f824ae, (q31_t)0x1657aa29, (q31_t)0x81f70bc3, (q31_t)0x16517a55, (q31_t)0x81f5f327, + (q31_t)0x164b4a73, (q31_t)0x81f4dad8, + (q31_t)0x16451a83, (q31_t)0x81f3c2d7, (q31_t)0x163eea86, (q31_t)0x81f2ab24, (q31_t)0x1638ba7a, (q31_t)0x81f193be, + (q31_t)0x16328a61, (q31_t)0x81f07ca6, + (q31_t)0x162c5a3b, (q31_t)0x81ef65dc, (q31_t)0x16262a06, (q31_t)0x81ee4f60, (q31_t)0x161ff9c4, (q31_t)0x81ed3932, + (q31_t)0x1619c975, (q31_t)0x81ec2351, + (q31_t)0x16139918, (q31_t)0x81eb0dbe, (q31_t)0x160d68ad, (q31_t)0x81e9f879, (q31_t)0x16073834, (q31_t)0x81e8e381, + (q31_t)0x160107ae, (q31_t)0x81e7ced8, + (q31_t)0x15fad71b, (q31_t)0x81e6ba7c, (q31_t)0x15f4a679, (q31_t)0x81e5a66e, (q31_t)0x15ee75cb, (q31_t)0x81e492ad, + (q31_t)0x15e8450e, (q31_t)0x81e37f3b, + (q31_t)0x15e21445, (q31_t)0x81e26c16, (q31_t)0x15dbe36d, (q31_t)0x81e1593f, (q31_t)0x15d5b288, (q31_t)0x81e046b6, + (q31_t)0x15cf8196, (q31_t)0x81df347b, + (q31_t)0x15c95097, (q31_t)0x81de228d, (q31_t)0x15c31f89, (q31_t)0x81dd10ee, (q31_t)0x15bcee6f, (q31_t)0x81dbff9c, + (q31_t)0x15b6bd47, (q31_t)0x81daee98, + (q31_t)0x15b08c12, (q31_t)0x81d9dde1, (q31_t)0x15aa5acf, (q31_t)0x81d8cd79, (q31_t)0x15a4297f, (q31_t)0x81d7bd5e, + (q31_t)0x159df821, (q31_t)0x81d6ad92, + (q31_t)0x1597c6b7, (q31_t)0x81d59e13, (q31_t)0x1591953e, (q31_t)0x81d48ee1, (q31_t)0x158b63b9, (q31_t)0x81d37ffe, + (q31_t)0x15853226, (q31_t)0x81d27169, + (q31_t)0x157f0086, (q31_t)0x81d16321, (q31_t)0x1578ced9, (q31_t)0x81d05527, (q31_t)0x15729d1f, (q31_t)0x81cf477b, + (q31_t)0x156c6b57, (q31_t)0x81ce3a1d, + (q31_t)0x15663982, (q31_t)0x81cd2d0c, (q31_t)0x156007a0, (q31_t)0x81cc204a, (q31_t)0x1559d5b1, (q31_t)0x81cb13d5, + (q31_t)0x1553a3b4, (q31_t)0x81ca07af, + (q31_t)0x154d71aa, (q31_t)0x81c8fbd6, (q31_t)0x15473f94, (q31_t)0x81c7f04b, (q31_t)0x15410d70, (q31_t)0x81c6e50d, + (q31_t)0x153adb3f, (q31_t)0x81c5da1e, + (q31_t)0x1534a901, (q31_t)0x81c4cf7d, (q31_t)0x152e76b5, (q31_t)0x81c3c529, (q31_t)0x1528445d, (q31_t)0x81c2bb23, + (q31_t)0x152211f8, (q31_t)0x81c1b16b, + (q31_t)0x151bdf86, (q31_t)0x81c0a801, (q31_t)0x1515ad06, (q31_t)0x81bf9ee5, (q31_t)0x150f7a7a, (q31_t)0x81be9617, + (q31_t)0x150947e1, (q31_t)0x81bd8d97, + (q31_t)0x1503153a, (q31_t)0x81bc8564, (q31_t)0x14fce287, (q31_t)0x81bb7d7f, (q31_t)0x14f6afc7, (q31_t)0x81ba75e9, + (q31_t)0x14f07cf9, (q31_t)0x81b96ea0, + (q31_t)0x14ea4a1f, (q31_t)0x81b867a5, (q31_t)0x14e41738, (q31_t)0x81b760f8, (q31_t)0x14dde445, (q31_t)0x81b65a99, + (q31_t)0x14d7b144, (q31_t)0x81b55488, + (q31_t)0x14d17e36, (q31_t)0x81b44ec4, (q31_t)0x14cb4b1c, (q31_t)0x81b3494f, (q31_t)0x14c517f4, (q31_t)0x81b24427, + (q31_t)0x14bee4c0, (q31_t)0x81b13f4e, + (q31_t)0x14b8b17f, (q31_t)0x81b03ac2, (q31_t)0x14b27e32, (q31_t)0x81af3684, (q31_t)0x14ac4ad7, (q31_t)0x81ae3294, + (q31_t)0x14a61770, (q31_t)0x81ad2ef2, + (q31_t)0x149fe3fc, (q31_t)0x81ac2b9e, (q31_t)0x1499b07c, (q31_t)0x81ab2898, (q31_t)0x14937cee, (q31_t)0x81aa25e0, + (q31_t)0x148d4954, (q31_t)0x81a92376, + (q31_t)0x148715ae, (q31_t)0x81a82159, (q31_t)0x1480e1fa, (q31_t)0x81a71f8b, (q31_t)0x147aae3a, (q31_t)0x81a61e0b, + (q31_t)0x14747a6d, (q31_t)0x81a51cd8, + (q31_t)0x146e4694, (q31_t)0x81a41bf4, (q31_t)0x146812ae, (q31_t)0x81a31b5d, (q31_t)0x1461debc, (q31_t)0x81a21b14, + (q31_t)0x145baabd, (q31_t)0x81a11b1a, + (q31_t)0x145576b1, (q31_t)0x81a01b6d, (q31_t)0x144f4299, (q31_t)0x819f1c0e, (q31_t)0x14490e74, (q31_t)0x819e1cfd, + (q31_t)0x1442da43, (q31_t)0x819d1e3a, + (q31_t)0x143ca605, (q31_t)0x819c1fc5, (q31_t)0x143671bb, (q31_t)0x819b219e, (q31_t)0x14303d65, (q31_t)0x819a23c5, + (q31_t)0x142a0902, (q31_t)0x8199263a, + (q31_t)0x1423d492, (q31_t)0x819828fd, (q31_t)0x141da016, (q31_t)0x81972c0e, (q31_t)0x14176b8e, (q31_t)0x81962f6d, + (q31_t)0x141136f9, (q31_t)0x8195331a, + (q31_t)0x140b0258, (q31_t)0x81943715, (q31_t)0x1404cdaa, (q31_t)0x81933b5e, (q31_t)0x13fe98f1, (q31_t)0x81923ff4, + (q31_t)0x13f8642a, (q31_t)0x819144d9, + (q31_t)0x13f22f58, (q31_t)0x81904a0c, (q31_t)0x13ebfa79, (q31_t)0x818f4f8d, (q31_t)0x13e5c58e, (q31_t)0x818e555c, + (q31_t)0x13df9097, (q31_t)0x818d5b78, + (q31_t)0x13d95b93, (q31_t)0x818c61e3, (q31_t)0x13d32683, (q31_t)0x818b689c, (q31_t)0x13ccf167, (q31_t)0x818a6fa3, + (q31_t)0x13c6bc3f, (q31_t)0x818976f8, + (q31_t)0x13c0870a, (q31_t)0x81887e9a, (q31_t)0x13ba51ca, (q31_t)0x8187868b, (q31_t)0x13b41c7d, (q31_t)0x81868eca, + (q31_t)0x13ade724, (q31_t)0x81859757, + (q31_t)0x13a7b1bf, (q31_t)0x8184a032, (q31_t)0x13a17c4d, (q31_t)0x8183a95b, (q31_t)0x139b46d0, (q31_t)0x8182b2d1, + (q31_t)0x13951146, (q31_t)0x8181bc96, + (q31_t)0x138edbb1, (q31_t)0x8180c6a9, (q31_t)0x1388a60f, (q31_t)0x817fd10a, (q31_t)0x13827062, (q31_t)0x817edbb9, + (q31_t)0x137c3aa8, (q31_t)0x817de6b6, + (q31_t)0x137604e2, (q31_t)0x817cf201, (q31_t)0x136fcf10, (q31_t)0x817bfd9b, (q31_t)0x13699933, (q31_t)0x817b0982, + (q31_t)0x13636349, (q31_t)0x817a15b7, + (q31_t)0x135d2d53, (q31_t)0x8179223a, (q31_t)0x1356f752, (q31_t)0x81782f0b, (q31_t)0x1350c144, (q31_t)0x81773c2b, + (q31_t)0x134a8b2b, (q31_t)0x81764998, + (q31_t)0x13445505, (q31_t)0x81755754, (q31_t)0x133e1ed4, (q31_t)0x8174655d, (q31_t)0x1337e897, (q31_t)0x817373b5, + (q31_t)0x1331b24e, (q31_t)0x8172825a, + (q31_t)0x132b7bf9, (q31_t)0x8171914e, (q31_t)0x13254599, (q31_t)0x8170a090, (q31_t)0x131f0f2c, (q31_t)0x816fb020, + (q31_t)0x1318d8b4, (q31_t)0x816ebffe, + (q31_t)0x1312a230, (q31_t)0x816dd02a, (q31_t)0x130c6ba0, (q31_t)0x816ce0a4, (q31_t)0x13063505, (q31_t)0x816bf16c, + (q31_t)0x12fffe5d, (q31_t)0x816b0282, + (q31_t)0x12f9c7aa, (q31_t)0x816a13e6, (q31_t)0x12f390ec, (q31_t)0x81692599, (q31_t)0x12ed5a21, (q31_t)0x81683799, + (q31_t)0x12e7234b, (q31_t)0x816749e8, + (q31_t)0x12e0ec6a, (q31_t)0x81665c84, (q31_t)0x12dab57c, (q31_t)0x81656f6f, (q31_t)0x12d47e83, (q31_t)0x816482a8, + (q31_t)0x12ce477f, (q31_t)0x8163962f, + (q31_t)0x12c8106f, (q31_t)0x8162aa04, (q31_t)0x12c1d953, (q31_t)0x8161be27, (q31_t)0x12bba22b, (q31_t)0x8160d298, + (q31_t)0x12b56af9, (q31_t)0x815fe758, + (q31_t)0x12af33ba, (q31_t)0x815efc65, (q31_t)0x12a8fc70, (q31_t)0x815e11c1, (q31_t)0x12a2c51b, (q31_t)0x815d276a, + (q31_t)0x129c8dba, (q31_t)0x815c3d62, + (q31_t)0x1296564d, (q31_t)0x815b53a8, (q31_t)0x12901ed5, (q31_t)0x815a6a3c, (q31_t)0x1289e752, (q31_t)0x8159811e, + (q31_t)0x1283afc3, (q31_t)0x8158984e, + (q31_t)0x127d7829, (q31_t)0x8157afcd, (q31_t)0x12774083, (q31_t)0x8156c799, (q31_t)0x127108d2, (q31_t)0x8155dfb4, + (q31_t)0x126ad116, (q31_t)0x8154f81d, + (q31_t)0x1264994e, (q31_t)0x815410d4, (q31_t)0x125e617b, (q31_t)0x815329d9, (q31_t)0x1258299c, (q31_t)0x8152432c, + (q31_t)0x1251f1b3, (q31_t)0x81515ccd, + (q31_t)0x124bb9be, (q31_t)0x815076bd, (q31_t)0x124581bd, (q31_t)0x814f90fb, (q31_t)0x123f49b2, (q31_t)0x814eab86, + (q31_t)0x1239119b, (q31_t)0x814dc660, + (q31_t)0x1232d979, (q31_t)0x814ce188, (q31_t)0x122ca14b, (q31_t)0x814bfcff, (q31_t)0x12266913, (q31_t)0x814b18c3, + (q31_t)0x122030cf, (q31_t)0x814a34d6, + (q31_t)0x1219f880, (q31_t)0x81495136, (q31_t)0x1213c026, (q31_t)0x81486de5, (q31_t)0x120d87c1, (q31_t)0x81478ae2, + (q31_t)0x12074f50, (q31_t)0x8146a82e, + (q31_t)0x120116d5, (q31_t)0x8145c5c7, (q31_t)0x11fade4e, (q31_t)0x8144e3ae, (q31_t)0x11f4a5bd, (q31_t)0x814401e4, + (q31_t)0x11ee6d20, (q31_t)0x81432068, + (q31_t)0x11e83478, (q31_t)0x81423f3a, (q31_t)0x11e1fbc5, (q31_t)0x81415e5a, (q31_t)0x11dbc307, (q31_t)0x81407dc9, + (q31_t)0x11d58a3e, (q31_t)0x813f9d86, + (q31_t)0x11cf516a, (q31_t)0x813ebd90, (q31_t)0x11c9188b, (q31_t)0x813ddde9, (q31_t)0x11c2dfa2, (q31_t)0x813cfe91, + (q31_t)0x11bca6ad, (q31_t)0x813c1f86, + (q31_t)0x11b66dad, (q31_t)0x813b40ca, (q31_t)0x11b034a2, (q31_t)0x813a625b, (q31_t)0x11a9fb8d, (q31_t)0x8139843b, + (q31_t)0x11a3c26c, (q31_t)0x8138a66a, + (q31_t)0x119d8941, (q31_t)0x8137c8e6, (q31_t)0x1197500a, (q31_t)0x8136ebb1, (q31_t)0x119116c9, (q31_t)0x81360ec9, + (q31_t)0x118add7d, (q31_t)0x81353230, + (q31_t)0x1184a427, (q31_t)0x813455e6, (q31_t)0x117e6ac5, (q31_t)0x813379e9, (q31_t)0x11783159, (q31_t)0x81329e3b, + (q31_t)0x1171f7e2, (q31_t)0x8131c2db, + (q31_t)0x116bbe60, (q31_t)0x8130e7c9, (q31_t)0x116584d3, (q31_t)0x81300d05, (q31_t)0x115f4b3c, (q31_t)0x812f3290, + (q31_t)0x1159119a, (q31_t)0x812e5868, + (q31_t)0x1152d7ed, (q31_t)0x812d7e8f, (q31_t)0x114c9e35, (q31_t)0x812ca505, (q31_t)0x11466473, (q31_t)0x812bcbc8, + (q31_t)0x11402aa6, (q31_t)0x812af2da, + (q31_t)0x1139f0cf, (q31_t)0x812a1a3a, (q31_t)0x1133b6ed, (q31_t)0x812941e8, (q31_t)0x112d7d00, (q31_t)0x812869e4, + (q31_t)0x11274309, (q31_t)0x8127922f, + (q31_t)0x11210907, (q31_t)0x8126bac8, (q31_t)0x111acefb, (q31_t)0x8125e3af, (q31_t)0x111494e4, (q31_t)0x81250ce4, + (q31_t)0x110e5ac2, (q31_t)0x81243668, + (q31_t)0x11082096, (q31_t)0x8123603a, (q31_t)0x1101e65f, (q31_t)0x81228a5a, (q31_t)0x10fbac1e, (q31_t)0x8121b4c8, + (q31_t)0x10f571d3, (q31_t)0x8120df85, + (q31_t)0x10ef377d, (q31_t)0x81200a90, (q31_t)0x10e8fd1c, (q31_t)0x811f35e9, (q31_t)0x10e2c2b2, (q31_t)0x811e6191, + (q31_t)0x10dc883c, (q31_t)0x811d8d86, + (q31_t)0x10d64dbd, (q31_t)0x811cb9ca, (q31_t)0x10d01333, (q31_t)0x811be65d, (q31_t)0x10c9d89e, (q31_t)0x811b133d, + (q31_t)0x10c39dff, (q31_t)0x811a406c, + (q31_t)0x10bd6356, (q31_t)0x81196de9, (q31_t)0x10b728a3, (q31_t)0x81189bb4, (q31_t)0x10b0ede5, (q31_t)0x8117c9ce, + (q31_t)0x10aab31d, (q31_t)0x8116f836, + (q31_t)0x10a4784b, (q31_t)0x811626ec, (q31_t)0x109e3d6e, (q31_t)0x811555f1, (q31_t)0x10980287, (q31_t)0x81148544, + (q31_t)0x1091c796, (q31_t)0x8113b4e5, + (q31_t)0x108b8c9b, (q31_t)0x8112e4d4, (q31_t)0x10855195, (q31_t)0x81121512, (q31_t)0x107f1686, (q31_t)0x8111459e, + (q31_t)0x1078db6c, (q31_t)0x81107678, + (q31_t)0x1072a048, (q31_t)0x810fa7a0, (q31_t)0x106c651a, (q31_t)0x810ed917, (q31_t)0x106629e1, (q31_t)0x810e0adc, + (q31_t)0x105fee9f, (q31_t)0x810d3cf0, + (q31_t)0x1059b352, (q31_t)0x810c6f52, (q31_t)0x105377fc, (q31_t)0x810ba202, (q31_t)0x104d3c9b, (q31_t)0x810ad500, + (q31_t)0x10470130, (q31_t)0x810a084d, + (q31_t)0x1040c5bb, (q31_t)0x81093be8, (q31_t)0x103a8a3d, (q31_t)0x81086fd1, (q31_t)0x10344eb4, (q31_t)0x8107a409, + (q31_t)0x102e1321, (q31_t)0x8106d88f, + (q31_t)0x1027d784, (q31_t)0x81060d63, (q31_t)0x10219bdd, (q31_t)0x81054286, (q31_t)0x101b602d, (q31_t)0x810477f7, + (q31_t)0x10152472, (q31_t)0x8103adb6, + (q31_t)0x100ee8ad, (q31_t)0x8102e3c4, (q31_t)0x1008acdf, (q31_t)0x81021a20, (q31_t)0x10027107, (q31_t)0x810150ca, + (q31_t)0xffc3524, (q31_t)0x810087c3, + (q31_t)0xff5f938, (q31_t)0x80ffbf0a, (q31_t)0xfefbd42, (q31_t)0x80fef69f, (q31_t)0xfe98143, (q31_t)0x80fe2e83, + (q31_t)0xfe34539, (q31_t)0x80fd66b5, + (q31_t)0xfdd0926, (q31_t)0x80fc9f35, (q31_t)0xfd6cd08, (q31_t)0x80fbd804, (q31_t)0xfd090e1, (q31_t)0x80fb1121, + (q31_t)0xfca54b1, (q31_t)0x80fa4a8c, + (q31_t)0xfc41876, (q31_t)0x80f98446, (q31_t)0xfbddc32, (q31_t)0x80f8be4e, (q31_t)0xfb79fe4, (q31_t)0x80f7f8a4, + (q31_t)0xfb1638d, (q31_t)0x80f73349, + (q31_t)0xfab272b, (q31_t)0x80f66e3c, (q31_t)0xfa4eac0, (q31_t)0x80f5a97e, (q31_t)0xf9eae4c, (q31_t)0x80f4e50e, + (q31_t)0xf9871ce, (q31_t)0x80f420ec, + (q31_t)0xf923546, (q31_t)0x80f35d19, (q31_t)0xf8bf8b4, (q31_t)0x80f29994, (q31_t)0xf85bc19, (q31_t)0x80f1d65d, + (q31_t)0xf7f7f75, (q31_t)0x80f11375, + (q31_t)0xf7942c7, (q31_t)0x80f050db, (q31_t)0xf73060f, (q31_t)0x80ef8e90, (q31_t)0xf6cc94e, (q31_t)0x80eecc93, + (q31_t)0xf668c83, (q31_t)0x80ee0ae4, + (q31_t)0xf604faf, (q31_t)0x80ed4984, (q31_t)0xf5a12d1, (q31_t)0x80ec8872, (q31_t)0xf53d5ea, (q31_t)0x80ebc7ae, + (q31_t)0xf4d98f9, (q31_t)0x80eb0739, + (q31_t)0xf475bff, (q31_t)0x80ea4712, (q31_t)0xf411efb, (q31_t)0x80e9873a, (q31_t)0xf3ae1ee, (q31_t)0x80e8c7b0, + (q31_t)0xf34a4d8, (q31_t)0x80e80874, + (q31_t)0xf2e67b8, (q31_t)0x80e74987, (q31_t)0xf282a8f, (q31_t)0x80e68ae8, (q31_t)0xf21ed5d, (q31_t)0x80e5cc98, + (q31_t)0xf1bb021, (q31_t)0x80e50e96, + (q31_t)0xf1572dc, (q31_t)0x80e450e2, (q31_t)0xf0f358e, (q31_t)0x80e3937d, (q31_t)0xf08f836, (q31_t)0x80e2d666, + (q31_t)0xf02bad5, (q31_t)0x80e2199e, + (q31_t)0xefc7d6b, (q31_t)0x80e15d24, (q31_t)0xef63ff7, (q31_t)0x80e0a0f8, (q31_t)0xef0027b, (q31_t)0x80dfe51b, + (q31_t)0xee9c4f5, (q31_t)0x80df298c, + (q31_t)0xee38766, (q31_t)0x80de6e4c, (q31_t)0xedd49ce, (q31_t)0x80ddb35a, (q31_t)0xed70c2c, (q31_t)0x80dcf8b7, + (q31_t)0xed0ce82, (q31_t)0x80dc3e62, + (q31_t)0xeca90ce, (q31_t)0x80db845b, (q31_t)0xec45311, (q31_t)0x80dacaa3, (q31_t)0xebe154b, (q31_t)0x80da1139, + (q31_t)0xeb7d77c, (q31_t)0x80d9581e, + (q31_t)0xeb199a4, (q31_t)0x80d89f51, (q31_t)0xeab5bc3, (q31_t)0x80d7e6d3, (q31_t)0xea51dd8, (q31_t)0x80d72ea3, + (q31_t)0xe9edfe5, (q31_t)0x80d676c1, + (q31_t)0xe98a1e9, (q31_t)0x80d5bf2e, (q31_t)0xe9263e3, (q31_t)0x80d507e9, (q31_t)0xe8c25d5, (q31_t)0x80d450f3, + (q31_t)0xe85e7be, (q31_t)0x80d39a4b, + (q31_t)0xe7fa99e, (q31_t)0x80d2e3f2, (q31_t)0xe796b74, (q31_t)0x80d22de7, (q31_t)0xe732d42, (q31_t)0x80d1782a, + (q31_t)0xe6cef07, (q31_t)0x80d0c2bc, + (q31_t)0xe66b0c3, (q31_t)0x80d00d9d, (q31_t)0xe607277, (q31_t)0x80cf58cc, (q31_t)0xe5a3421, (q31_t)0x80cea449, + (q31_t)0xe53f5c2, (q31_t)0x80cdf015, + (q31_t)0xe4db75b, (q31_t)0x80cd3c2f, (q31_t)0xe4778eb, (q31_t)0x80cc8898, (q31_t)0xe413a72, (q31_t)0x80cbd54f, + (q31_t)0xe3afbf0, (q31_t)0x80cb2255, + (q31_t)0xe34bd66, (q31_t)0x80ca6fa9, (q31_t)0xe2e7ed2, (q31_t)0x80c9bd4c, (q31_t)0xe284036, (q31_t)0x80c90b3d, + (q31_t)0xe220191, (q31_t)0x80c8597c, + (q31_t)0xe1bc2e4, (q31_t)0x80c7a80a, (q31_t)0xe15842e, (q31_t)0x80c6f6e7, (q31_t)0xe0f456f, (q31_t)0x80c64612, + (q31_t)0xe0906a7, (q31_t)0x80c5958b, + (q31_t)0xe02c7d7, (q31_t)0x80c4e553, (q31_t)0xdfc88fe, (q31_t)0x80c4356a, (q31_t)0xdf64a1c, (q31_t)0x80c385cf, + (q31_t)0xdf00b32, (q31_t)0x80c2d682, + (q31_t)0xde9cc40, (q31_t)0x80c22784, (q31_t)0xde38d44, (q31_t)0x80c178d4, (q31_t)0xddd4e40, (q31_t)0x80c0ca73, + (q31_t)0xdd70f34, (q31_t)0x80c01c60, + (q31_t)0xdd0d01f, (q31_t)0x80bf6e9c, (q31_t)0xdca9102, (q31_t)0x80bec127, (q31_t)0xdc451dc, (q31_t)0x80be13ff, + (q31_t)0xdbe12ad, (q31_t)0x80bd6727, + (q31_t)0xdb7d376, (q31_t)0x80bcba9d, (q31_t)0xdb19437, (q31_t)0x80bc0e61, (q31_t)0xdab54ef, (q31_t)0x80bb6274, + (q31_t)0xda5159f, (q31_t)0x80bab6d5, + (q31_t)0xd9ed646, (q31_t)0x80ba0b85, (q31_t)0xd9896e5, (q31_t)0x80b96083, (q31_t)0xd92577b, (q31_t)0x80b8b5d0, + (q31_t)0xd8c1809, (q31_t)0x80b80b6c, + (q31_t)0xd85d88f, (q31_t)0x80b76156, (q31_t)0xd7f990c, (q31_t)0x80b6b78e, (q31_t)0xd795982, (q31_t)0x80b60e15, + (q31_t)0xd7319ee, (q31_t)0x80b564ea, + (q31_t)0xd6cda53, (q31_t)0x80b4bc0e, (q31_t)0xd669aaf, (q31_t)0x80b41381, (q31_t)0xd605b03, (q31_t)0x80b36b42, + (q31_t)0xd5a1b4f, (q31_t)0x80b2c351, + (q31_t)0xd53db92, (q31_t)0x80b21baf, (q31_t)0xd4d9bcd, (q31_t)0x80b1745c, (q31_t)0xd475c00, (q31_t)0x80b0cd57, + (q31_t)0xd411c2b, (q31_t)0x80b026a1, + (q31_t)0xd3adc4e, (q31_t)0x80af8039, (q31_t)0xd349c68, (q31_t)0x80aeda20, (q31_t)0xd2e5c7b, (q31_t)0x80ae3455, + (q31_t)0xd281c85, (q31_t)0x80ad8ed9, + (q31_t)0xd21dc87, (q31_t)0x80ace9ab, (q31_t)0xd1b9c81, (q31_t)0x80ac44cc, (q31_t)0xd155c73, (q31_t)0x80aba03b, + (q31_t)0xd0f1c5d, (q31_t)0x80aafbf9, + (q31_t)0xd08dc3f, (q31_t)0x80aa5806, (q31_t)0xd029c18, (q31_t)0x80a9b461, (q31_t)0xcfc5bea, (q31_t)0x80a9110b, + (q31_t)0xcf61bb4, (q31_t)0x80a86e03, + (q31_t)0xcefdb76, (q31_t)0x80a7cb49, (q31_t)0xce99b2f, (q31_t)0x80a728df, (q31_t)0xce35ae1, (q31_t)0x80a686c2, + (q31_t)0xcdd1a8b, (q31_t)0x80a5e4f5, + (q31_t)0xcd6da2d, (q31_t)0x80a54376, (q31_t)0xcd099c7, (q31_t)0x80a4a245, (q31_t)0xcca5959, (q31_t)0x80a40163, + (q31_t)0xcc418e3, (q31_t)0x80a360d0, + (q31_t)0xcbdd865, (q31_t)0x80a2c08b, (q31_t)0xcb797e0, (q31_t)0x80a22095, (q31_t)0xcb15752, (q31_t)0x80a180ed, + (q31_t)0xcab16bd, (q31_t)0x80a0e194, + (q31_t)0xca4d620, (q31_t)0x80a04289, (q31_t)0xc9e957b, (q31_t)0x809fa3cd, (q31_t)0xc9854cf, (q31_t)0x809f0560, + (q31_t)0xc92141a, (q31_t)0x809e6741, + (q31_t)0xc8bd35e, (q31_t)0x809dc971, (q31_t)0xc85929a, (q31_t)0x809d2bef, (q31_t)0xc7f51cf, (q31_t)0x809c8ebc, + (q31_t)0xc7910fb, (q31_t)0x809bf1d7, + (q31_t)0xc72d020, (q31_t)0x809b5541, (q31_t)0xc6c8f3e, (q31_t)0x809ab8fa, (q31_t)0xc664e53, (q31_t)0x809a1d01, + (q31_t)0xc600d61, (q31_t)0x80998157, + (q31_t)0xc59cc68, (q31_t)0x8098e5fb, (q31_t)0xc538b66, (q31_t)0x80984aee, (q31_t)0xc4d4a5d, (q31_t)0x8097b030, + (q31_t)0xc47094d, (q31_t)0x809715c0, + (q31_t)0xc40c835, (q31_t)0x80967b9f, (q31_t)0xc3a8715, (q31_t)0x8095e1cc, (q31_t)0xc3445ee, (q31_t)0x80954848, + (q31_t)0xc2e04c0, (q31_t)0x8094af13, + (q31_t)0xc27c389, (q31_t)0x8094162c, (q31_t)0xc21824c, (q31_t)0x80937d93, (q31_t)0xc1b4107, (q31_t)0x8092e54a, + (q31_t)0xc14ffba, (q31_t)0x80924d4f, + (q31_t)0xc0ebe66, (q31_t)0x8091b5a2, (q31_t)0xc087d0a, (q31_t)0x80911e44, (q31_t)0xc023ba7, (q31_t)0x80908735, + (q31_t)0xbfbfa3d, (q31_t)0x808ff074, + (q31_t)0xbf5b8cb, (q31_t)0x808f5a02, (q31_t)0xbef7752, (q31_t)0x808ec3df, (q31_t)0xbe935d2, (q31_t)0x808e2e0a, + (q31_t)0xbe2f44a, (q31_t)0x808d9884, + (q31_t)0xbdcb2bb, (q31_t)0x808d034c, (q31_t)0xbd67124, (q31_t)0x808c6e63, (q31_t)0xbd02f87, (q31_t)0x808bd9c9, + (q31_t)0xbc9ede2, (q31_t)0x808b457d, + (q31_t)0xbc3ac35, (q31_t)0x808ab180, (q31_t)0xbbd6a82, (q31_t)0x808a1dd2, (q31_t)0xbb728c7, (q31_t)0x80898a72, + (q31_t)0xbb0e705, (q31_t)0x8088f761, + (q31_t)0xbaaa53b, (q31_t)0x8088649e, (q31_t)0xba4636b, (q31_t)0x8087d22a, (q31_t)0xb9e2193, (q31_t)0x80874005, + (q31_t)0xb97dfb5, (q31_t)0x8086ae2e, + (q31_t)0xb919dcf, (q31_t)0x80861ca6, (q31_t)0xb8b5be1, (q31_t)0x80858b6c, (q31_t)0xb8519ed, (q31_t)0x8084fa82, + (q31_t)0xb7ed7f2, (q31_t)0x808469e5, + (q31_t)0xb7895f0, (q31_t)0x8083d998, (q31_t)0xb7253e6, (q31_t)0x80834999, (q31_t)0xb6c11d5, (q31_t)0x8082b9e9, + (q31_t)0xb65cfbe, (q31_t)0x80822a87, + (q31_t)0xb5f8d9f, (q31_t)0x80819b74, (q31_t)0xb594b7a, (q31_t)0x80810cb0, (q31_t)0xb53094d, (q31_t)0x80807e3a, + (q31_t)0xb4cc719, (q31_t)0x807ff013, + (q31_t)0xb4684df, (q31_t)0x807f623b, (q31_t)0xb40429d, (q31_t)0x807ed4b1, (q31_t)0xb3a0055, (q31_t)0x807e4776, + (q31_t)0xb33be05, (q31_t)0x807dba89, + (q31_t)0xb2d7baf, (q31_t)0x807d2dec, (q31_t)0xb273952, (q31_t)0x807ca19c, (q31_t)0xb20f6ee, (q31_t)0x807c159c, + (q31_t)0xb1ab483, (q31_t)0x807b89ea, + (q31_t)0xb147211, (q31_t)0x807afe87, (q31_t)0xb0e2f98, (q31_t)0x807a7373, (q31_t)0xb07ed19, (q31_t)0x8079e8ad, + (q31_t)0xb01aa92, (q31_t)0x80795e36, + (q31_t)0xafb6805, (q31_t)0x8078d40d, (q31_t)0xaf52571, (q31_t)0x80784a33, (q31_t)0xaeee2d7, (q31_t)0x8077c0a8, + (q31_t)0xae8a036, (q31_t)0x8077376c, + (q31_t)0xae25d8d, (q31_t)0x8076ae7e, (q31_t)0xadc1adf, (q31_t)0x807625df, (q31_t)0xad5d829, (q31_t)0x80759d8e, + (q31_t)0xacf956d, (q31_t)0x8075158c, + (q31_t)0xac952aa, (q31_t)0x80748dd9, (q31_t)0xac30fe1, (q31_t)0x80740675, (q31_t)0xabccd11, (q31_t)0x80737f5f, + (q31_t)0xab68a3a, (q31_t)0x8072f898, + (q31_t)0xab0475c, (q31_t)0x8072721f, (q31_t)0xaaa0478, (q31_t)0x8071ebf6, (q31_t)0xaa3c18e, (q31_t)0x8071661a, + (q31_t)0xa9d7e9d, (q31_t)0x8070e08e, + (q31_t)0xa973ba5, (q31_t)0x80705b50, (q31_t)0xa90f8a7, (q31_t)0x806fd661, (q31_t)0xa8ab5a2, (q31_t)0x806f51c1, + (q31_t)0xa847297, (q31_t)0x806ecd6f, + (q31_t)0xa7e2f85, (q31_t)0x806e496c, (q31_t)0xa77ec6d, (q31_t)0x806dc5b8, (q31_t)0xa71a94f, (q31_t)0x806d4253, + (q31_t)0xa6b662a, (q31_t)0x806cbf3c, + (q31_t)0xa6522fe, (q31_t)0x806c3c74, (q31_t)0xa5edfcc, (q31_t)0x806bb9fa, (q31_t)0xa589c94, (q31_t)0x806b37cf, + (q31_t)0xa525955, (q31_t)0x806ab5f3, + (q31_t)0xa4c1610, (q31_t)0x806a3466, (q31_t)0xa45d2c5, (q31_t)0x8069b327, (q31_t)0xa3f8f73, (q31_t)0x80693237, + (q31_t)0xa394c1b, (q31_t)0x8068b196, + (q31_t)0xa3308bd, (q31_t)0x80683143, (q31_t)0xa2cc558, (q31_t)0x8067b13f, (q31_t)0xa2681ed, (q31_t)0x8067318a, + (q31_t)0xa203e7c, (q31_t)0x8066b224, + (q31_t)0xa19fb04, (q31_t)0x8066330c, (q31_t)0xa13b787, (q31_t)0x8065b443, (q31_t)0xa0d7403, (q31_t)0x806535c9, + (q31_t)0xa073079, (q31_t)0x8064b79d, + (q31_t)0xa00ece8, (q31_t)0x806439c0, (q31_t)0x9faa952, (q31_t)0x8063bc32, (q31_t)0x9f465b5, (q31_t)0x80633ef3, + (q31_t)0x9ee2213, (q31_t)0x8062c202, + (q31_t)0x9e7de6a, (q31_t)0x80624560, (q31_t)0x9e19abb, (q31_t)0x8061c90c, (q31_t)0x9db5706, (q31_t)0x80614d08, + (q31_t)0x9d5134b, (q31_t)0x8060d152, + (q31_t)0x9cecf89, (q31_t)0x806055eb, (q31_t)0x9c88bc2, (q31_t)0x805fdad2, (q31_t)0x9c247f5, (q31_t)0x805f6009, + (q31_t)0x9bc0421, (q31_t)0x805ee58e, + (q31_t)0x9b5c048, (q31_t)0x805e6b62, (q31_t)0x9af7c69, (q31_t)0x805df184, (q31_t)0x9a93884, (q31_t)0x805d77f5, + (q31_t)0x9a2f498, (q31_t)0x805cfeb5, + (q31_t)0x99cb0a7, (q31_t)0x805c85c4, (q31_t)0x9966cb0, (q31_t)0x805c0d21, (q31_t)0x99028b3, (q31_t)0x805b94ce, + (q31_t)0x989e4b0, (q31_t)0x805b1cc8, + (q31_t)0x983a0a7, (q31_t)0x805aa512, (q31_t)0x97d5c99, (q31_t)0x805a2daa, (q31_t)0x9771884, (q31_t)0x8059b692, + (q31_t)0x970d46a, (q31_t)0x80593fc7, + (q31_t)0x96a9049, (q31_t)0x8058c94c, (q31_t)0x9644c23, (q31_t)0x8058531f, (q31_t)0x95e07f8, (q31_t)0x8057dd41, + (q31_t)0x957c3c6, (q31_t)0x805767b2, + (q31_t)0x9517f8f, (q31_t)0x8056f272, (q31_t)0x94b3b52, (q31_t)0x80567d80, (q31_t)0x944f70f, (q31_t)0x805608dd, + (q31_t)0x93eb2c6, (q31_t)0x80559489, + (q31_t)0x9386e78, (q31_t)0x80552084, (q31_t)0x9322a24, (q31_t)0x8054accd, (q31_t)0x92be5ca, (q31_t)0x80543965, + (q31_t)0x925a16b, (q31_t)0x8053c64c, + (q31_t)0x91f5d06, (q31_t)0x80535381, (q31_t)0x919189c, (q31_t)0x8052e106, (q31_t)0x912d42c, (q31_t)0x80526ed9, + (q31_t)0x90c8fb6, (q31_t)0x8051fcfb, + (q31_t)0x9064b3a, (q31_t)0x80518b6b, (q31_t)0x90006ba, (q31_t)0x80511a2b, (q31_t)0x8f9c233, (q31_t)0x8050a939, + (q31_t)0x8f37da7, (q31_t)0x80503896, + (q31_t)0x8ed3916, (q31_t)0x804fc841, (q31_t)0x8e6f47f, (q31_t)0x804f583c, (q31_t)0x8e0afe2, (q31_t)0x804ee885, + (q31_t)0x8da6b40, (q31_t)0x804e791d, + (q31_t)0x8d42699, (q31_t)0x804e0a04, (q31_t)0x8cde1ec, (q31_t)0x804d9b39, (q31_t)0x8c79d3a, (q31_t)0x804d2cbd, + (q31_t)0x8c15882, (q31_t)0x804cbe90, + (q31_t)0x8bb13c5, (q31_t)0x804c50b2, (q31_t)0x8b4cf02, (q31_t)0x804be323, (q31_t)0x8ae8a3a, (q31_t)0x804b75e2, + (q31_t)0x8a8456d, (q31_t)0x804b08f0, + (q31_t)0x8a2009a, (q31_t)0x804a9c4d, (q31_t)0x89bbbc3, (q31_t)0x804a2ff9, (q31_t)0x89576e5, (q31_t)0x8049c3f3, + (q31_t)0x88f3203, (q31_t)0x8049583d, + (q31_t)0x888ed1b, (q31_t)0x8048ecd5, (q31_t)0x882a82e, (q31_t)0x804881bb, (q31_t)0x87c633c, (q31_t)0x804816f1, + (q31_t)0x8761e44, (q31_t)0x8047ac75, + (q31_t)0x86fd947, (q31_t)0x80474248, (q31_t)0x8699445, (q31_t)0x8046d86a, (q31_t)0x8634f3e, (q31_t)0x80466edb, + (q31_t)0x85d0a32, (q31_t)0x8046059b, + (q31_t)0x856c520, (q31_t)0x80459ca9, (q31_t)0x850800a, (q31_t)0x80453406, (q31_t)0x84a3aee, (q31_t)0x8044cbb2, + (q31_t)0x843f5cd, (q31_t)0x804463ad, + (q31_t)0x83db0a7, (q31_t)0x8043fbf6, (q31_t)0x8376b7c, (q31_t)0x8043948e, (q31_t)0x831264c, (q31_t)0x80432d75, + (q31_t)0x82ae117, (q31_t)0x8042c6ab, + (q31_t)0x8249bdd, (q31_t)0x80426030, (q31_t)0x81e569d, (q31_t)0x8041fa03, (q31_t)0x8181159, (q31_t)0x80419425, + (q31_t)0x811cc10, (q31_t)0x80412e96, + (q31_t)0x80b86c2, (q31_t)0x8040c956, (q31_t)0x805416e, (q31_t)0x80406465, (q31_t)0x7fefc16, (q31_t)0x803fffc2, + (q31_t)0x7f8b6b9, (q31_t)0x803f9b6f, + (q31_t)0x7f27157, (q31_t)0x803f376a, (q31_t)0x7ec2bf0, (q31_t)0x803ed3b3, (q31_t)0x7e5e685, (q31_t)0x803e704c, + (q31_t)0x7dfa114, (q31_t)0x803e0d34, + (q31_t)0x7d95b9e, (q31_t)0x803daa6a, (q31_t)0x7d31624, (q31_t)0x803d47ef, (q31_t)0x7ccd0a5, (q31_t)0x803ce5c3, + (q31_t)0x7c68b21, (q31_t)0x803c83e5, + (q31_t)0x7c04598, (q31_t)0x803c2257, (q31_t)0x7ba000b, (q31_t)0x803bc117, (q31_t)0x7b3ba78, (q31_t)0x803b6026, + (q31_t)0x7ad74e1, (q31_t)0x803aff84, + (q31_t)0x7a72f45, (q31_t)0x803a9f31, (q31_t)0x7a0e9a5, (q31_t)0x803a3f2d, (q31_t)0x79aa400, (q31_t)0x8039df77, + (q31_t)0x7945e56, (q31_t)0x80398010, + (q31_t)0x78e18a7, (q31_t)0x803920f8, (q31_t)0x787d2f4, (q31_t)0x8038c22f, (q31_t)0x7818d3c, (q31_t)0x803863b5, + (q31_t)0x77b4780, (q31_t)0x80380589, + (q31_t)0x77501be, (q31_t)0x8037a7ac, (q31_t)0x76ebbf9, (q31_t)0x80374a1f, (q31_t)0x768762e, (q31_t)0x8036ece0, + (q31_t)0x762305f, (q31_t)0x80368fef, + (q31_t)0x75bea8c, (q31_t)0x8036334e, (q31_t)0x755a4b4, (q31_t)0x8035d6fb, (q31_t)0x74f5ed7, (q31_t)0x80357af8, + (q31_t)0x74918f6, (q31_t)0x80351f43, + (q31_t)0x742d311, (q31_t)0x8034c3dd, (q31_t)0x73c8d27, (q31_t)0x803468c5, (q31_t)0x7364738, (q31_t)0x80340dfd, + (q31_t)0x7300145, (q31_t)0x8033b383, + (q31_t)0x729bb4e, (q31_t)0x80335959, (q31_t)0x7237552, (q31_t)0x8032ff7d, (q31_t)0x71d2f52, (q31_t)0x8032a5ef, + (q31_t)0x716e94e, (q31_t)0x80324cb1, + (q31_t)0x710a345, (q31_t)0x8031f3c2, (q31_t)0x70a5d37, (q31_t)0x80319b21, (q31_t)0x7041726, (q31_t)0x803142cf, + (q31_t)0x6fdd110, (q31_t)0x8030eacd, + (q31_t)0x6f78af6, (q31_t)0x80309318, (q31_t)0x6f144d7, (q31_t)0x80303bb3, (q31_t)0x6eafeb4, (q31_t)0x802fe49d, + (q31_t)0x6e4b88d, (q31_t)0x802f8dd5, + (q31_t)0x6de7262, (q31_t)0x802f375d, (q31_t)0x6d82c32, (q31_t)0x802ee133, (q31_t)0x6d1e5fe, (q31_t)0x802e8b58, + (q31_t)0x6cb9fc6, (q31_t)0x802e35cb, + (q31_t)0x6c5598a, (q31_t)0x802de08e, (q31_t)0x6bf1349, (q31_t)0x802d8ba0, (q31_t)0x6b8cd05, (q31_t)0x802d3700, + (q31_t)0x6b286bc, (q31_t)0x802ce2af, + (q31_t)0x6ac406f, (q31_t)0x802c8ead, (q31_t)0x6a5fa1e, (q31_t)0x802c3afa, (q31_t)0x69fb3c9, (q31_t)0x802be796, + (q31_t)0x6996d70, (q31_t)0x802b9480, + (q31_t)0x6932713, (q31_t)0x802b41ba, (q31_t)0x68ce0b2, (q31_t)0x802aef42, (q31_t)0x6869a4c, (q31_t)0x802a9d19, + (q31_t)0x68053e3, (q31_t)0x802a4b3f, + (q31_t)0x67a0d76, (q31_t)0x8029f9b4, (q31_t)0x673c704, (q31_t)0x8029a878, (q31_t)0x66d808f, (q31_t)0x8029578b, + (q31_t)0x6673a16, (q31_t)0x802906ec, + (q31_t)0x660f398, (q31_t)0x8028b69c, (q31_t)0x65aad17, (q31_t)0x8028669b, (q31_t)0x6546692, (q31_t)0x802816e9, + (q31_t)0x64e2009, (q31_t)0x8027c786, + (q31_t)0x647d97c, (q31_t)0x80277872, (q31_t)0x64192eb, (q31_t)0x802729ad, (q31_t)0x63b4c57, (q31_t)0x8026db36, + (q31_t)0x63505be, (q31_t)0x80268d0e, + (q31_t)0x62ebf22, (q31_t)0x80263f36, (q31_t)0x6287882, (q31_t)0x8025f1ac, (q31_t)0x62231de, (q31_t)0x8025a471, + (q31_t)0x61beb36, (q31_t)0x80255784, + (q31_t)0x615a48b, (q31_t)0x80250ae7, (q31_t)0x60f5ddc, (q31_t)0x8024be99, (q31_t)0x6091729, (q31_t)0x80247299, + (q31_t)0x602d072, (q31_t)0x802426e8, + (q31_t)0x5fc89b8, (q31_t)0x8023db86, (q31_t)0x5f642fa, (q31_t)0x80239073, (q31_t)0x5effc38, (q31_t)0x802345af, + (q31_t)0x5e9b572, (q31_t)0x8022fb3a, + (q31_t)0x5e36ea9, (q31_t)0x8022b114, (q31_t)0x5dd27dd, (q31_t)0x8022673c, (q31_t)0x5d6e10c, (q31_t)0x80221db3, + (q31_t)0x5d09a38, (q31_t)0x8021d47a, + (q31_t)0x5ca5361, (q31_t)0x80218b8f, (q31_t)0x5c40c86, (q31_t)0x802142f3, (q31_t)0x5bdc5a7, (q31_t)0x8020faa6, + (q31_t)0x5b77ec5, (q31_t)0x8020b2a7, + (q31_t)0x5b137df, (q31_t)0x80206af8, (q31_t)0x5aaf0f6, (q31_t)0x80202397, (q31_t)0x5a4aa09, (q31_t)0x801fdc86, + (q31_t)0x59e6319, (q31_t)0x801f95c3, + (q31_t)0x5981c26, (q31_t)0x801f4f4f, (q31_t)0x591d52f, (q31_t)0x801f092a, (q31_t)0x58b8e34, (q31_t)0x801ec354, + (q31_t)0x5854736, (q31_t)0x801e7dcd, + (q31_t)0x57f0035, (q31_t)0x801e3895, (q31_t)0x578b930, (q31_t)0x801df3ab, (q31_t)0x5727228, (q31_t)0x801daf11, + (q31_t)0x56c2b1c, (q31_t)0x801d6ac5, + (q31_t)0x565e40d, (q31_t)0x801d26c8, (q31_t)0x55f9cfb, (q31_t)0x801ce31a, (q31_t)0x55955e6, (q31_t)0x801c9fbb, + (q31_t)0x5530ecd, (q31_t)0x801c5cab, + (q31_t)0x54cc7b1, (q31_t)0x801c19ea, (q31_t)0x5468092, (q31_t)0x801bd777, (q31_t)0x540396f, (q31_t)0x801b9554, + (q31_t)0x539f249, (q31_t)0x801b537f, + (q31_t)0x533ab20, (q31_t)0x801b11fa, (q31_t)0x52d63f4, (q31_t)0x801ad0c3, (q31_t)0x5271cc4, (q31_t)0x801a8fdb, + (q31_t)0x520d592, (q31_t)0x801a4f42, + (q31_t)0x51a8e5c, (q31_t)0x801a0ef8, (q31_t)0x5144723, (q31_t)0x8019cefd, (q31_t)0x50dffe7, (q31_t)0x80198f50, + (q31_t)0x507b8a8, (q31_t)0x80194ff3, + (q31_t)0x5017165, (q31_t)0x801910e4, (q31_t)0x4fb2a20, (q31_t)0x8018d225, (q31_t)0x4f4e2d8, (q31_t)0x801893b4, + (q31_t)0x4ee9b8c, (q31_t)0x80185592, + (q31_t)0x4e8543e, (q31_t)0x801817bf, (q31_t)0x4e20cec, (q31_t)0x8017da3b, (q31_t)0x4dbc597, (q31_t)0x80179d06, + (q31_t)0x4d57e40, (q31_t)0x80176020, + (q31_t)0x4cf36e5, (q31_t)0x80172388, (q31_t)0x4c8ef88, (q31_t)0x8016e740, (q31_t)0x4c2a827, (q31_t)0x8016ab46, + (q31_t)0x4bc60c4, (q31_t)0x80166f9c, + (q31_t)0x4b6195d, (q31_t)0x80163440, (q31_t)0x4afd1f4, (q31_t)0x8015f933, (q31_t)0x4a98a88, (q31_t)0x8015be75, + (q31_t)0x4a34319, (q31_t)0x80158406, + (q31_t)0x49cfba7, (q31_t)0x801549e6, (q31_t)0x496b432, (q31_t)0x80151015, (q31_t)0x4906cbb, (q31_t)0x8014d693, + (q31_t)0x48a2540, (q31_t)0x80149d5f, + (q31_t)0x483ddc3, (q31_t)0x8014647b, (q31_t)0x47d9643, (q31_t)0x80142be5, (q31_t)0x4774ec1, (q31_t)0x8013f39e, + (q31_t)0x471073b, (q31_t)0x8013bba7, + (q31_t)0x46abfb3, (q31_t)0x801383fe, (q31_t)0x4647828, (q31_t)0x80134ca4, (q31_t)0x45e309a, (q31_t)0x80131599, + (q31_t)0x457e90a, (q31_t)0x8012dedd, + (q31_t)0x451a177, (q31_t)0x8012a86f, (q31_t)0x44b59e1, (q31_t)0x80127251, (q31_t)0x4451249, (q31_t)0x80123c82, + (q31_t)0x43ecaae, (q31_t)0x80120701, + (q31_t)0x4388310, (q31_t)0x8011d1d0, (q31_t)0x4323b70, (q31_t)0x80119ced, (q31_t)0x42bf3cd, (q31_t)0x80116859, + (q31_t)0x425ac28, (q31_t)0x80113414, + (q31_t)0x41f6480, (q31_t)0x8011001f, (q31_t)0x4191cd5, (q31_t)0x8010cc78, (q31_t)0x412d528, (q31_t)0x8010991f, + (q31_t)0x40c8d79, (q31_t)0x80106616, + (q31_t)0x40645c7, (q31_t)0x8010335c, (q31_t)0x3fffe12, (q31_t)0x801000f1, (q31_t)0x3f9b65b, (q31_t)0x800fced4, + (q31_t)0x3f36ea2, (q31_t)0x800f9d07, + (q31_t)0x3ed26e6, (q31_t)0x800f6b88, (q31_t)0x3e6df28, (q31_t)0x800f3a59, (q31_t)0x3e09767, (q31_t)0x800f0978, + (q31_t)0x3da4fa4, (q31_t)0x800ed8e6, + (q31_t)0x3d407df, (q31_t)0x800ea8a3, (q31_t)0x3cdc017, (q31_t)0x800e78af, (q31_t)0x3c7784d, (q31_t)0x800e490a, + (q31_t)0x3c13080, (q31_t)0x800e19b4, + (q31_t)0x3bae8b2, (q31_t)0x800deaad, (q31_t)0x3b4a0e0, (q31_t)0x800dbbf5, (q31_t)0x3ae590d, (q31_t)0x800d8d8b, + (q31_t)0x3a81137, (q31_t)0x800d5f71, + (q31_t)0x3a1c960, (q31_t)0x800d31a5, (q31_t)0x39b8185, (q31_t)0x800d0429, (q31_t)0x39539a9, (q31_t)0x800cd6fb, + (q31_t)0x38ef1ca, (q31_t)0x800caa1c, + (q31_t)0x388a9ea, (q31_t)0x800c7d8c, (q31_t)0x3826207, (q31_t)0x800c514c, (q31_t)0x37c1a22, (q31_t)0x800c255a, + (q31_t)0x375d23a, (q31_t)0x800bf9b7, + (q31_t)0x36f8a51, (q31_t)0x800bce63, (q31_t)0x3694265, (q31_t)0x800ba35d, (q31_t)0x362fa78, (q31_t)0x800b78a7, + (q31_t)0x35cb288, (q31_t)0x800b4e40, + (q31_t)0x3566a96, (q31_t)0x800b2427, (q31_t)0x35022a2, (q31_t)0x800afa5e, (q31_t)0x349daac, (q31_t)0x800ad0e3, + (q31_t)0x34392b4, (q31_t)0x800aa7b8, + (q31_t)0x33d4abb, (q31_t)0x800a7edb, (q31_t)0x33702bf, (q31_t)0x800a564e, (q31_t)0x330bac1, (q31_t)0x800a2e0f, + (q31_t)0x32a72c1, (q31_t)0x800a061f, + (q31_t)0x3242abf, (q31_t)0x8009de7e, (q31_t)0x31de2bb, (q31_t)0x8009b72c, (q31_t)0x3179ab5, (q31_t)0x80099029, + (q31_t)0x31152ae, (q31_t)0x80096975, + (q31_t)0x30b0aa4, (q31_t)0x80094310, (q31_t)0x304c299, (q31_t)0x80091cf9, (q31_t)0x2fe7a8c, (q31_t)0x8008f732, + (q31_t)0x2f8327d, (q31_t)0x8008d1ba, + (q31_t)0x2f1ea6c, (q31_t)0x8008ac90, (q31_t)0x2eba259, (q31_t)0x800887b6, (q31_t)0x2e55a44, (q31_t)0x8008632a, + (q31_t)0x2df122e, (q31_t)0x80083eed, + (q31_t)0x2d8ca16, (q31_t)0x80081b00, (q31_t)0x2d281fc, (q31_t)0x8007f761, (q31_t)0x2cc39e1, (q31_t)0x8007d411, + (q31_t)0x2c5f1c3, (q31_t)0x8007b110, + (q31_t)0x2bfa9a4, (q31_t)0x80078e5e, (q31_t)0x2b96184, (q31_t)0x80076bfb, (q31_t)0x2b31961, (q31_t)0x800749e7, + (q31_t)0x2acd13d, (q31_t)0x80072822, + (q31_t)0x2a68917, (q31_t)0x800706ac, (q31_t)0x2a040f0, (q31_t)0x8006e585, (q31_t)0x299f8c7, (q31_t)0x8006c4ac, + (q31_t)0x293b09c, (q31_t)0x8006a423, + (q31_t)0x28d6870, (q31_t)0x800683e8, (q31_t)0x2872043, (q31_t)0x800663fd, (q31_t)0x280d813, (q31_t)0x80064460, + (q31_t)0x27a8fe2, (q31_t)0x80062513, + (q31_t)0x27447b0, (q31_t)0x80060614, (q31_t)0x26dff7c, (q31_t)0x8005e764, (q31_t)0x267b747, (q31_t)0x8005c904, + (q31_t)0x2616f10, (q31_t)0x8005aaf2, + (q31_t)0x25b26d7, (q31_t)0x80058d2f, (q31_t)0x254de9e, (q31_t)0x80056fbb, (q31_t)0x24e9662, (q31_t)0x80055296, + (q31_t)0x2484e26, (q31_t)0x800535c0, + (q31_t)0x24205e8, (q31_t)0x80051939, (q31_t)0x23bbda8, (q31_t)0x8004fd00, (q31_t)0x2357567, (q31_t)0x8004e117, + (q31_t)0x22f2d25, (q31_t)0x8004c57d, + (q31_t)0x228e4e2, (q31_t)0x8004aa32, (q31_t)0x2229c9d, (q31_t)0x80048f35, (q31_t)0x21c5457, (q31_t)0x80047488, + (q31_t)0x2160c0f, (q31_t)0x80045a29, + (q31_t)0x20fc3c6, (q31_t)0x8004401a, (q31_t)0x2097b7c, (q31_t)0x80042659, (q31_t)0x2033331, (q31_t)0x80040ce7, + (q31_t)0x1fceae4, (q31_t)0x8003f3c5, + (q31_t)0x1f6a297, (q31_t)0x8003daf1, (q31_t)0x1f05a48, (q31_t)0x8003c26c, (q31_t)0x1ea11f7, (q31_t)0x8003aa36, + (q31_t)0x1e3c9a6, (q31_t)0x8003924f, + (q31_t)0x1dd8154, (q31_t)0x80037ab7, (q31_t)0x1d73900, (q31_t)0x8003636e, (q31_t)0x1d0f0ab, (q31_t)0x80034c74, + (q31_t)0x1caa855, (q31_t)0x800335c9, + (q31_t)0x1c45ffe, (q31_t)0x80031f6d, (q31_t)0x1be17a6, (q31_t)0x80030960, (q31_t)0x1b7cf4d, (q31_t)0x8002f3a1, + (q31_t)0x1b186f3, (q31_t)0x8002de32, + (q31_t)0x1ab3e97, (q31_t)0x8002c912, (q31_t)0x1a4f63b, (q31_t)0x8002b440, (q31_t)0x19eaddd, (q31_t)0x80029fbe, + (q31_t)0x198657f, (q31_t)0x80028b8a, + (q31_t)0x1921d20, (q31_t)0x800277a6, (q31_t)0x18bd4bf, (q31_t)0x80026410, (q31_t)0x1858c5e, (q31_t)0x800250c9, + (q31_t)0x17f43fc, (q31_t)0x80023dd2, + (q31_t)0x178fb99, (q31_t)0x80022b29, (q31_t)0x172b335, (q31_t)0x800218cf, (q31_t)0x16c6ad0, (q31_t)0x800206c4, + (q31_t)0x166226a, (q31_t)0x8001f508, + (q31_t)0x15fda03, (q31_t)0x8001e39b, (q31_t)0x159919c, (q31_t)0x8001d27d, (q31_t)0x1534934, (q31_t)0x8001c1ae, + (q31_t)0x14d00ca, (q31_t)0x8001b12e, + (q31_t)0x146b860, (q31_t)0x8001a0fd, (q31_t)0x1406ff6, (q31_t)0x8001911b, (q31_t)0x13a278a, (q31_t)0x80018187, + (q31_t)0x133df1e, (q31_t)0x80017243, + (q31_t)0x12d96b1, (q31_t)0x8001634e, (q31_t)0x1274e43, (q31_t)0x800154a7, (q31_t)0x12105d5, (q31_t)0x80014650, + (q31_t)0x11abd66, (q31_t)0x80013847, + (q31_t)0x11474f6, (q31_t)0x80012a8e, (q31_t)0x10e2c85, (q31_t)0x80011d23, (q31_t)0x107e414, (q31_t)0x80011008, + (q31_t)0x1019ba2, (q31_t)0x8001033b, + (q31_t)0xfb5330, (q31_t)0x8000f6bd, (q31_t)0xf50abd, (q31_t)0x8000ea8e, (q31_t)0xeec249, (q31_t)0x8000deaf, (q31_t)0xe879d5, + (q31_t)0x8000d31e, + (q31_t)0xe23160, (q31_t)0x8000c7dc, (q31_t)0xdbe8eb, (q31_t)0x8000bce9, (q31_t)0xd5a075, (q31_t)0x8000b245, (q31_t)0xcf57ff, + (q31_t)0x8000a7f0, + (q31_t)0xc90f88, (q31_t)0x80009dea, (q31_t)0xc2c711, (q31_t)0x80009433, (q31_t)0xbc7e99, (q31_t)0x80008aca, (q31_t)0xb63621, + (q31_t)0x800081b1, + (q31_t)0xafeda8, (q31_t)0x800078e7, (q31_t)0xa9a52f, (q31_t)0x8000706c, (q31_t)0xa35cb5, (q31_t)0x8000683f, (q31_t)0x9d143b, + (q31_t)0x80006062, + (q31_t)0x96cbc1, (q31_t)0x800058d4, (q31_t)0x908346, (q31_t)0x80005194, (q31_t)0x8a3acb, (q31_t)0x80004aa4, (q31_t)0x83f250, + (q31_t)0x80004402, + (q31_t)0x7da9d4, (q31_t)0x80003daf, (q31_t)0x776159, (q31_t)0x800037ac, (q31_t)0x7118dc, (q31_t)0x800031f7, (q31_t)0x6ad060, + (q31_t)0x80002c91, + (q31_t)0x6487e3, (q31_t)0x8000277a, (q31_t)0x5e3f66, (q31_t)0x800022b3, (q31_t)0x57f6e9, (q31_t)0x80001e3a, (q31_t)0x51ae6b, + (q31_t)0x80001a10, + (q31_t)0x4b65ee, (q31_t)0x80001635, (q31_t)0x451d70, (q31_t)0x800012a9, (q31_t)0x3ed4f2, (q31_t)0x80000f6c, (q31_t)0x388c74, + (q31_t)0x80000c7e, + (q31_t)0x3243f5, (q31_t)0x800009df, (q31_t)0x2bfb77, (q31_t)0x8000078e, (q31_t)0x25b2f8, (q31_t)0x8000058d, (q31_t)0x1f6a7a, + (q31_t)0x800003db, + (q31_t)0x1921fb, (q31_t)0x80000278, (q31_t)0x12d97c, (q31_t)0x80000163, (q31_t)0xc90fe, (q31_t)0x8000009e, (q31_t)0x6487f, + (q31_t)0x80000027 + +}; + +/** +* \par +* cosFactor tables are generated using the formula :
cos_factors[n] = 2 * cos((2n+1)*pi/(4*N))
+* \par +* C command to generate the table +*
+* for(i = 0; i< N; i++)
+* {
+*   cos_factors[i]= 2 * cos((2*i+1)*c/2);
+* } 
+* \par +* where N is the number of factors to generate and c is pi/(2*N) +* \par +* Then converted to q31 format by multiplying with 2^31 and saturated if required. +*/ + + +static const q31_t cos_factorsQ31_128[128] = { + (q31_t)0x7fff6216, (q31_t)0x7ffa72d1, (q31_t)0x7ff09478, (q31_t)0x7fe1c76b, (q31_t)0x7fce0c3e, (q31_t)0x7fb563b3, + (q31_t)0x7f97cebd, (q31_t)0x7f754e80, + (q31_t)0x7f4de451, (q31_t)0x7f2191b4, (q31_t)0x7ef05860, (q31_t)0x7eba3a39, (q31_t)0x7e7f3957, (q31_t)0x7e3f57ff, + (q31_t)0x7dfa98a8, (q31_t)0x7db0fdf8, + (q31_t)0x7d628ac6, (q31_t)0x7d0f4218, (q31_t)0x7cb72724, (q31_t)0x7c5a3d50, (q31_t)0x7bf88830, (q31_t)0x7b920b89, + (q31_t)0x7b26cb4f, (q31_t)0x7ab6cba4, + (q31_t)0x7a4210d8, (q31_t)0x79c89f6e, (q31_t)0x794a7c12, (q31_t)0x78c7aba2, (q31_t)0x78403329, (q31_t)0x77b417df, + (q31_t)0x77235f2d, (q31_t)0x768e0ea6, + (q31_t)0x75f42c0b, (q31_t)0x7555bd4c, (q31_t)0x74b2c884, (q31_t)0x740b53fb, (q31_t)0x735f6626, (q31_t)0x72af05a7, + (q31_t)0x71fa3949, (q31_t)0x71410805, + (q31_t)0x708378ff, (q31_t)0x6fc19385, (q31_t)0x6efb5f12, (q31_t)0x6e30e34a, (q31_t)0x6d6227fa, (q31_t)0x6c8f351c, + (q31_t)0x6bb812d1, (q31_t)0x6adcc964, + (q31_t)0x69fd614a, (q31_t)0x6919e320, (q31_t)0x683257ab, (q31_t)0x6746c7d8, (q31_t)0x66573cbb, (q31_t)0x6563bf92, + (q31_t)0x646c59bf, (q31_t)0x637114cc, + (q31_t)0x6271fa69, (q31_t)0x616f146c, (q31_t)0x60686ccf, (q31_t)0x5f5e0db3, (q31_t)0x5e50015d, (q31_t)0x5d3e5237, + (q31_t)0x5c290acc, (q31_t)0x5b1035cf, + (q31_t)0x59f3de12, (q31_t)0x58d40e8c, (q31_t)0x57b0d256, (q31_t)0x568a34a9, (q31_t)0x556040e2, (q31_t)0x5433027d, + (q31_t)0x53028518, (q31_t)0x51ced46e, + (q31_t)0x5097fc5e, (q31_t)0x4f5e08e3, (q31_t)0x4e210617, (q31_t)0x4ce10034, (q31_t)0x4b9e0390, (q31_t)0x4a581c9e, + (q31_t)0x490f57ee, (q31_t)0x47c3c22f, + (q31_t)0x46756828, (q31_t)0x452456bd, (q31_t)0x43d09aed, (q31_t)0x427a41d0, (q31_t)0x4121589b, (q31_t)0x3fc5ec98, + (q31_t)0x3e680b2c, (q31_t)0x3d07c1d6, + (q31_t)0x3ba51e29, (q31_t)0x3a402dd2, (q31_t)0x38d8fe93, (q31_t)0x376f9e46, (q31_t)0x36041ad9, (q31_t)0x34968250, + (q31_t)0x3326e2c3, (q31_t)0x31b54a5e, + (q31_t)0x3041c761, (q31_t)0x2ecc681e, (q31_t)0x2d553afc, (q31_t)0x2bdc4e6f, (q31_t)0x2a61b101, (q31_t)0x28e5714b, + (q31_t)0x27679df4, (q31_t)0x25e845b6, + (q31_t)0x24677758, (q31_t)0x22e541af, (q31_t)0x2161b3a0, (q31_t)0x1fdcdc1b, (q31_t)0x1e56ca1e, (q31_t)0x1ccf8cb3, + (q31_t)0x1b4732ef, (q31_t)0x19bdcbf3, + (q31_t)0x183366e9, (q31_t)0x16a81305, (q31_t)0x151bdf86, (q31_t)0x138edbb1, (q31_t)0x120116d5, (q31_t)0x1072a048, + (q31_t)0xee38766, (q31_t)0xd53db92, + (q31_t)0xbc3ac35, (q31_t)0xa3308bd, (q31_t)0x8a2009a, (q31_t)0x710a345, (q31_t)0x57f0035, (q31_t)0x3ed26e6, (q31_t)0x25b26d7, + (q31_t)0xc90f88 +}; + +static const q31_t cos_factorsQ31_512[512] = { + (q31_t)0x7ffff621, (q31_t)0x7fffa72c, (q31_t)0x7fff0943, (q31_t)0x7ffe1c65, (q31_t)0x7ffce093, (q31_t)0x7ffb55ce, + (q31_t)0x7ff97c18, (q31_t)0x7ff75370, + (q31_t)0x7ff4dbd9, (q31_t)0x7ff21553, (q31_t)0x7feeffe1, (q31_t)0x7feb9b85, (q31_t)0x7fe7e841, (q31_t)0x7fe3e616, + (q31_t)0x7fdf9508, (q31_t)0x7fdaf519, + (q31_t)0x7fd6064c, (q31_t)0x7fd0c8a3, (q31_t)0x7fcb3c23, (q31_t)0x7fc560cf, (q31_t)0x7fbf36aa, (q31_t)0x7fb8bdb8, + (q31_t)0x7fb1f5fc, (q31_t)0x7faadf7c, + (q31_t)0x7fa37a3c, (q31_t)0x7f9bc640, (q31_t)0x7f93c38c, (q31_t)0x7f8b7227, (q31_t)0x7f82d214, (q31_t)0x7f79e35a, + (q31_t)0x7f70a5fe, (q31_t)0x7f671a05, + (q31_t)0x7f5d3f75, (q31_t)0x7f531655, (q31_t)0x7f489eaa, (q31_t)0x7f3dd87c, (q31_t)0x7f32c3d1, (q31_t)0x7f2760af, + (q31_t)0x7f1baf1e, (q31_t)0x7f0faf25, + (q31_t)0x7f0360cb, (q31_t)0x7ef6c418, (q31_t)0x7ee9d914, (q31_t)0x7edc9fc6, (q31_t)0x7ecf1837, (q31_t)0x7ec14270, + (q31_t)0x7eb31e78, (q31_t)0x7ea4ac58, + (q31_t)0x7e95ec1a, (q31_t)0x7e86ddc6, (q31_t)0x7e778166, (q31_t)0x7e67d703, (q31_t)0x7e57dea7, (q31_t)0x7e47985b, + (q31_t)0x7e37042a, (q31_t)0x7e26221f, + (q31_t)0x7e14f242, (q31_t)0x7e0374a0, (q31_t)0x7df1a942, (q31_t)0x7ddf9034, (q31_t)0x7dcd2981, (q31_t)0x7dba7534, + (q31_t)0x7da77359, (q31_t)0x7d9423fc, + (q31_t)0x7d808728, (q31_t)0x7d6c9ce9, (q31_t)0x7d58654d, (q31_t)0x7d43e05e, (q31_t)0x7d2f0e2b, (q31_t)0x7d19eebf, + (q31_t)0x7d048228, (q31_t)0x7ceec873, + (q31_t)0x7cd8c1ae, (q31_t)0x7cc26de5, (q31_t)0x7cabcd28, (q31_t)0x7c94df83, (q31_t)0x7c7da505, (q31_t)0x7c661dbc, + (q31_t)0x7c4e49b7, (q31_t)0x7c362904, + (q31_t)0x7c1dbbb3, (q31_t)0x7c0501d2, (q31_t)0x7bebfb70, (q31_t)0x7bd2a89e, (q31_t)0x7bb9096b, (q31_t)0x7b9f1de6, + (q31_t)0x7b84e61f, (q31_t)0x7b6a6227, + (q31_t)0x7b4f920e, (q31_t)0x7b3475e5, (q31_t)0x7b190dbc, (q31_t)0x7afd59a4, (q31_t)0x7ae159ae, (q31_t)0x7ac50dec, + (q31_t)0x7aa8766f, (q31_t)0x7a8b9348, + (q31_t)0x7a6e648a, (q31_t)0x7a50ea47, (q31_t)0x7a332490, (q31_t)0x7a151378, (q31_t)0x79f6b711, (q31_t)0x79d80f6f, + (q31_t)0x79b91ca4, (q31_t)0x7999dec4, + (q31_t)0x797a55e0, (q31_t)0x795a820e, (q31_t)0x793a6361, (q31_t)0x7919f9ec, (q31_t)0x78f945c3, (q31_t)0x78d846fb, + (q31_t)0x78b6fda8, (q31_t)0x789569df, + (q31_t)0x78738bb3, (q31_t)0x7851633b, (q31_t)0x782ef08b, (q31_t)0x780c33b8, (q31_t)0x77e92cd9, (q31_t)0x77c5dc01, + (q31_t)0x77a24148, (q31_t)0x777e5cc3, + (q31_t)0x775a2e89, (q31_t)0x7735b6af, (q31_t)0x7710f54c, (q31_t)0x76ebea77, (q31_t)0x76c69647, (q31_t)0x76a0f8d2, + (q31_t)0x767b1231, (q31_t)0x7654e279, + (q31_t)0x762e69c4, (q31_t)0x7607a828, (q31_t)0x75e09dbd, (q31_t)0x75b94a9c, (q31_t)0x7591aedd, (q31_t)0x7569ca99, + (q31_t)0x75419de7, (q31_t)0x751928e0, + (q31_t)0x74f06b9e, (q31_t)0x74c7663a, (q31_t)0x749e18cd, (q31_t)0x74748371, (q31_t)0x744aa63f, (q31_t)0x74208150, + (q31_t)0x73f614c0, (q31_t)0x73cb60a8, + (q31_t)0x73a06522, (q31_t)0x73752249, (q31_t)0x73499838, (q31_t)0x731dc70a, (q31_t)0x72f1aed9, (q31_t)0x72c54fc1, + (q31_t)0x7298a9dd, (q31_t)0x726bbd48, + (q31_t)0x723e8a20, (q31_t)0x7211107e, (q31_t)0x71e35080, (q31_t)0x71b54a41, (q31_t)0x7186fdde, (q31_t)0x71586b74, + (q31_t)0x7129931f, (q31_t)0x70fa74fc, + (q31_t)0x70cb1128, (q31_t)0x709b67c0, (q31_t)0x706b78e3, (q31_t)0x703b44ad, (q31_t)0x700acb3c, (q31_t)0x6fda0cae, + (q31_t)0x6fa90921, (q31_t)0x6f77c0b3, + (q31_t)0x6f463383, (q31_t)0x6f1461b0, (q31_t)0x6ee24b57, (q31_t)0x6eaff099, (q31_t)0x6e7d5193, (q31_t)0x6e4a6e66, + (q31_t)0x6e174730, (q31_t)0x6de3dc11, + (q31_t)0x6db02d29, (q31_t)0x6d7c3a98, (q31_t)0x6d48047e, (q31_t)0x6d138afb, (q31_t)0x6cdece2f, (q31_t)0x6ca9ce3b, + (q31_t)0x6c748b3f, (q31_t)0x6c3f055d, + (q31_t)0x6c093cb6, (q31_t)0x6bd3316a, (q31_t)0x6b9ce39b, (q31_t)0x6b66536b, (q31_t)0x6b2f80fb, (q31_t)0x6af86c6c, + (q31_t)0x6ac115e2, (q31_t)0x6a897d7d, + (q31_t)0x6a51a361, (q31_t)0x6a1987b0, (q31_t)0x69e12a8c, (q31_t)0x69a88c19, (q31_t)0x696fac78, (q31_t)0x69368bce, + (q31_t)0x68fd2a3d, (q31_t)0x68c387e9, + (q31_t)0x6889a4f6, (q31_t)0x684f8186, (q31_t)0x68151dbe, (q31_t)0x67da79c3, (q31_t)0x679f95b7, (q31_t)0x676471c0, + (q31_t)0x67290e02, (q31_t)0x66ed6aa1, + (q31_t)0x66b187c3, (q31_t)0x6675658c, (q31_t)0x66390422, (q31_t)0x65fc63a9, (q31_t)0x65bf8447, (q31_t)0x65826622, + (q31_t)0x6545095f, (q31_t)0x65076e25, + (q31_t)0x64c99498, (q31_t)0x648b7ce0, (q31_t)0x644d2722, (q31_t)0x640e9386, (q31_t)0x63cfc231, (q31_t)0x6390b34a, + (q31_t)0x635166f9, (q31_t)0x6311dd64, + (q31_t)0x62d216b3, (q31_t)0x6292130c, (q31_t)0x6251d298, (q31_t)0x6211557e, (q31_t)0x61d09be5, (q31_t)0x618fa5f7, + (q31_t)0x614e73da, (q31_t)0x610d05b7, + (q31_t)0x60cb5bb7, (q31_t)0x60897601, (q31_t)0x604754bf, (q31_t)0x6004f819, (q31_t)0x5fc26038, (q31_t)0x5f7f8d46, + (q31_t)0x5f3c7f6b, (q31_t)0x5ef936d1, + (q31_t)0x5eb5b3a2, (q31_t)0x5e71f606, (q31_t)0x5e2dfe29, (q31_t)0x5de9cc33, (q31_t)0x5da5604f, (q31_t)0x5d60baa7, + (q31_t)0x5d1bdb65, (q31_t)0x5cd6c2b5, + (q31_t)0x5c9170bf, (q31_t)0x5c4be5b0, (q31_t)0x5c0621b2, (q31_t)0x5bc024f0, (q31_t)0x5b79ef96, (q31_t)0x5b3381ce, + (q31_t)0x5aecdbc5, (q31_t)0x5aa5fda5, + (q31_t)0x5a5ee79a, (q31_t)0x5a1799d1, (q31_t)0x59d01475, (q31_t)0x598857b2, (q31_t)0x594063b5, (q31_t)0x58f838a9, + (q31_t)0x58afd6bd, (q31_t)0x58673e1b, + (q31_t)0x581e6ef1, (q31_t)0x57d5696d, (q31_t)0x578c2dba, (q31_t)0x5742bc06, (q31_t)0x56f9147e, (q31_t)0x56af3750, + (q31_t)0x566524aa, (q31_t)0x561adcb9, + (q31_t)0x55d05faa, (q31_t)0x5585adad, (q31_t)0x553ac6ee, (q31_t)0x54efab9c, (q31_t)0x54a45be6, (q31_t)0x5458d7f9, + (q31_t)0x540d2005, (q31_t)0x53c13439, + (q31_t)0x537514c2, (q31_t)0x5328c1d0, (q31_t)0x52dc3b92, (q31_t)0x528f8238, (q31_t)0x524295f0, (q31_t)0x51f576ea, + (q31_t)0x51a82555, (q31_t)0x515aa162, + (q31_t)0x510ceb40, (q31_t)0x50bf031f, (q31_t)0x5070e92f, (q31_t)0x50229da1, (q31_t)0x4fd420a4, (q31_t)0x4f857269, + (q31_t)0x4f369320, (q31_t)0x4ee782fb, + (q31_t)0x4e984229, (q31_t)0x4e48d0dd, (q31_t)0x4df92f46, (q31_t)0x4da95d96, (q31_t)0x4d595bfe, (q31_t)0x4d092ab0, + (q31_t)0x4cb8c9dd, (q31_t)0x4c6839b7, + (q31_t)0x4c177a6e, (q31_t)0x4bc68c36, (q31_t)0x4b756f40, (q31_t)0x4b2423be, (q31_t)0x4ad2a9e2, (q31_t)0x4a8101de, + (q31_t)0x4a2f2be6, (q31_t)0x49dd282a, + (q31_t)0x498af6df, (q31_t)0x49389836, (q31_t)0x48e60c62, (q31_t)0x48935397, (q31_t)0x48406e08, (q31_t)0x47ed5be6, + (q31_t)0x479a1d67, (q31_t)0x4746b2bc, + (q31_t)0x46f31c1a, (q31_t)0x469f59b4, (q31_t)0x464b6bbe, (q31_t)0x45f7526b, (q31_t)0x45a30df0, (q31_t)0x454e9e80, + (q31_t)0x44fa0450, (q31_t)0x44a53f93, + (q31_t)0x4450507e, (q31_t)0x43fb3746, (q31_t)0x43a5f41e, (q31_t)0x4350873c, (q31_t)0x42faf0d4, (q31_t)0x42a5311b, + (q31_t)0x424f4845, (q31_t)0x41f93689, + (q31_t)0x41a2fc1a, (q31_t)0x414c992f, (q31_t)0x40f60dfb, (q31_t)0x409f5ab6, (q31_t)0x40487f94, (q31_t)0x3ff17cca, + (q31_t)0x3f9a5290, (q31_t)0x3f430119, + (q31_t)0x3eeb889c, (q31_t)0x3e93e950, (q31_t)0x3e3c2369, (q31_t)0x3de4371f, (q31_t)0x3d8c24a8, (q31_t)0x3d33ec39, + (q31_t)0x3cdb8e09, (q31_t)0x3c830a50, + (q31_t)0x3c2a6142, (q31_t)0x3bd19318, (q31_t)0x3b78a007, (q31_t)0x3b1f8848, (q31_t)0x3ac64c0f, (q31_t)0x3a6ceb96, + (q31_t)0x3a136712, (q31_t)0x39b9bebc, + (q31_t)0x395ff2c9, (q31_t)0x39060373, (q31_t)0x38abf0ef, (q31_t)0x3851bb77, (q31_t)0x37f76341, (q31_t)0x379ce885, + (q31_t)0x37424b7b, (q31_t)0x36e78c5b, + (q31_t)0x368cab5c, (q31_t)0x3631a8b8, (q31_t)0x35d684a6, (q31_t)0x357b3f5d, (q31_t)0x351fd918, (q31_t)0x34c4520d, + (q31_t)0x3468aa76, (q31_t)0x340ce28b, + (q31_t)0x33b0fa84, (q31_t)0x3354f29b, (q31_t)0x32f8cb07, (q31_t)0x329c8402, (q31_t)0x32401dc6, (q31_t)0x31e39889, + (q31_t)0x3186f487, (q31_t)0x312a31f8, + (q31_t)0x30cd5115, (q31_t)0x30705217, (q31_t)0x30133539, (q31_t)0x2fb5fab2, (q31_t)0x2f58a2be, (q31_t)0x2efb2d95, + (q31_t)0x2e9d9b70, (q31_t)0x2e3fec8b, + (q31_t)0x2de2211e, (q31_t)0x2d843964, (q31_t)0x2d263596, (q31_t)0x2cc815ee, (q31_t)0x2c69daa6, (q31_t)0x2c0b83fa, + (q31_t)0x2bad1221, (q31_t)0x2b4e8558, + (q31_t)0x2aefddd8, (q31_t)0x2a911bdc, (q31_t)0x2a323f9e, (q31_t)0x29d34958, (q31_t)0x29743946, (q31_t)0x29150fa1, + (q31_t)0x28b5cca5, (q31_t)0x2856708d, + (q31_t)0x27f6fb92, (q31_t)0x27976df1, (q31_t)0x2737c7e3, (q31_t)0x26d809a5, (q31_t)0x26783370, (q31_t)0x26184581, + (q31_t)0x25b84012, (q31_t)0x2558235f, + (q31_t)0x24f7efa2, (q31_t)0x2497a517, (q31_t)0x243743fa, (q31_t)0x23d6cc87, (q31_t)0x23763ef7, (q31_t)0x23159b88, + (q31_t)0x22b4e274, (q31_t)0x225413f8, + (q31_t)0x21f3304f, (q31_t)0x219237b5, (q31_t)0x21312a65, (q31_t)0x20d0089c, (q31_t)0x206ed295, (q31_t)0x200d888d, + (q31_t)0x1fac2abf, (q31_t)0x1f4ab968, + (q31_t)0x1ee934c3, (q31_t)0x1e879d0d, (q31_t)0x1e25f282, (q31_t)0x1dc4355e, (q31_t)0x1d6265dd, (q31_t)0x1d00843d, + (q31_t)0x1c9e90b8, (q31_t)0x1c3c8b8c, + (q31_t)0x1bda74f6, (q31_t)0x1b784d30, (q31_t)0x1b161479, (q31_t)0x1ab3cb0d, (q31_t)0x1a517128, (q31_t)0x19ef0707, + (q31_t)0x198c8ce7, (q31_t)0x192a0304, + (q31_t)0x18c7699b, (q31_t)0x1864c0ea, (q31_t)0x1802092c, (q31_t)0x179f429f, (q31_t)0x173c6d80, (q31_t)0x16d98a0c, + (q31_t)0x1676987f, (q31_t)0x16139918, + (q31_t)0x15b08c12, (q31_t)0x154d71aa, (q31_t)0x14ea4a1f, (q31_t)0x148715ae, (q31_t)0x1423d492, (q31_t)0x13c0870a, + (q31_t)0x135d2d53, (q31_t)0x12f9c7aa, + (q31_t)0x1296564d, (q31_t)0x1232d979, (q31_t)0x11cf516a, (q31_t)0x116bbe60, (q31_t)0x11082096, (q31_t)0x10a4784b, + (q31_t)0x1040c5bb, (q31_t)0xfdd0926, + (q31_t)0xf7942c7, (q31_t)0xf1572dc, (q31_t)0xeb199a4, (q31_t)0xe4db75b, (q31_t)0xde9cc40, (q31_t)0xd85d88f, (q31_t)0xd21dc87, + (q31_t)0xcbdd865, + (q31_t)0xc59cc68, (q31_t)0xbf5b8cb, (q31_t)0xb919dcf, (q31_t)0xb2d7baf, (q31_t)0xac952aa, (q31_t)0xa6522fe, (q31_t)0xa00ece8, + (q31_t)0x99cb0a7, + (q31_t)0x9386e78, (q31_t)0x8d42699, (q31_t)0x86fd947, (q31_t)0x80b86c2, (q31_t)0x7a72f45, (q31_t)0x742d311, (q31_t)0x6de7262, + (q31_t)0x67a0d76, + (q31_t)0x615a48b, (q31_t)0x5b137df, (q31_t)0x54cc7b1, (q31_t)0x4e8543e, (q31_t)0x483ddc3, (q31_t)0x41f6480, (q31_t)0x3bae8b2, + (q31_t)0x3566a96, + (q31_t)0x2f1ea6c, (q31_t)0x28d6870, (q31_t)0x228e4e2, (q31_t)0x1c45ffe, (q31_t)0x15fda03, (q31_t)0xfb5330, (q31_t)0x96cbc1, + (q31_t)0x3243f5 +}; + +static const q31_t cos_factorsQ31_2048[2048] = { + (q31_t)0x7fffff62, (q31_t)0x7ffffa73, (q31_t)0x7ffff094, (q31_t)0x7fffe1c6, (q31_t)0x7fffce09, (q31_t)0x7fffb55c, + (q31_t)0x7fff97c1, (q31_t)0x7fff7536, + (q31_t)0x7fff4dbb, (q31_t)0x7fff2151, (q31_t)0x7ffeeff8, (q31_t)0x7ffeb9b0, (q31_t)0x7ffe7e79, (q31_t)0x7ffe3e52, + (q31_t)0x7ffdf93c, (q31_t)0x7ffdaf37, + (q31_t)0x7ffd6042, (q31_t)0x7ffd0c5f, (q31_t)0x7ffcb38c, (q31_t)0x7ffc55ca, (q31_t)0x7ffbf319, (q31_t)0x7ffb8b78, + (q31_t)0x7ffb1ee9, (q31_t)0x7ffaad6a, + (q31_t)0x7ffa36fc, (q31_t)0x7ff9bba0, (q31_t)0x7ff93b54, (q31_t)0x7ff8b619, (q31_t)0x7ff82bef, (q31_t)0x7ff79cd6, + (q31_t)0x7ff708ce, (q31_t)0x7ff66fd7, + (q31_t)0x7ff5d1f1, (q31_t)0x7ff52f1d, (q31_t)0x7ff48759, (q31_t)0x7ff3daa6, (q31_t)0x7ff32905, (q31_t)0x7ff27275, + (q31_t)0x7ff1b6f6, (q31_t)0x7ff0f688, + (q31_t)0x7ff0312c, (q31_t)0x7fef66e1, (q31_t)0x7fee97a7, (q31_t)0x7fedc37e, (q31_t)0x7fecea67, (q31_t)0x7fec0c62, + (q31_t)0x7feb296d, (q31_t)0x7fea418b, + (q31_t)0x7fe954ba, (q31_t)0x7fe862fa, (q31_t)0x7fe76c4c, (q31_t)0x7fe670b0, (q31_t)0x7fe57025, (q31_t)0x7fe46aac, + (q31_t)0x7fe36045, (q31_t)0x7fe250ef, + (q31_t)0x7fe13cac, (q31_t)0x7fe0237a, (q31_t)0x7fdf055a, (q31_t)0x7fdde24d, (q31_t)0x7fdcba51, (q31_t)0x7fdb8d67, + (q31_t)0x7fda5b8f, (q31_t)0x7fd924ca, + (q31_t)0x7fd7e917, (q31_t)0x7fd6a875, (q31_t)0x7fd562e7, (q31_t)0x7fd4186a, (q31_t)0x7fd2c900, (q31_t)0x7fd174a8, + (q31_t)0x7fd01b63, (q31_t)0x7fcebd31, + (q31_t)0x7fcd5a11, (q31_t)0x7fcbf203, (q31_t)0x7fca8508, (q31_t)0x7fc91320, (q31_t)0x7fc79c4b, (q31_t)0x7fc62089, + (q31_t)0x7fc49fda, (q31_t)0x7fc31a3d, + (q31_t)0x7fc18fb4, (q31_t)0x7fc0003e, (q31_t)0x7fbe6bdb, (q31_t)0x7fbcd28b, (q31_t)0x7fbb344e, (q31_t)0x7fb99125, + (q31_t)0x7fb7e90f, (q31_t)0x7fb63c0d, + (q31_t)0x7fb48a1e, (q31_t)0x7fb2d343, (q31_t)0x7fb1177b, (q31_t)0x7faf56c7, (q31_t)0x7fad9127, (q31_t)0x7fabc69b, + (q31_t)0x7fa9f723, (q31_t)0x7fa822bf, + (q31_t)0x7fa6496e, (q31_t)0x7fa46b32, (q31_t)0x7fa2880b, (q31_t)0x7fa09ff7, (q31_t)0x7f9eb2f8, (q31_t)0x7f9cc10d, + (q31_t)0x7f9aca37, (q31_t)0x7f98ce76, + (q31_t)0x7f96cdc9, (q31_t)0x7f94c831, (q31_t)0x7f92bdad, (q31_t)0x7f90ae3f, (q31_t)0x7f8e99e6, (q31_t)0x7f8c80a1, + (q31_t)0x7f8a6272, (q31_t)0x7f883f58, + (q31_t)0x7f861753, (q31_t)0x7f83ea64, (q31_t)0x7f81b88a, (q31_t)0x7f7f81c6, (q31_t)0x7f7d4617, (q31_t)0x7f7b057e, + (q31_t)0x7f78bffb, (q31_t)0x7f76758e, + (q31_t)0x7f742637, (q31_t)0x7f71d1f6, (q31_t)0x7f6f78cb, (q31_t)0x7f6d1ab6, (q31_t)0x7f6ab7b8, (q31_t)0x7f684fd0, + (q31_t)0x7f65e2ff, (q31_t)0x7f637144, + (q31_t)0x7f60faa0, (q31_t)0x7f5e7f13, (q31_t)0x7f5bfe9d, (q31_t)0x7f59793e, (q31_t)0x7f56eef5, (q31_t)0x7f545fc5, + (q31_t)0x7f51cbab, (q31_t)0x7f4f32a9, + (q31_t)0x7f4c94be, (q31_t)0x7f49f1eb, (q31_t)0x7f474a30, (q31_t)0x7f449d8c, (q31_t)0x7f41ec01, (q31_t)0x7f3f358d, + (q31_t)0x7f3c7a31, (q31_t)0x7f39b9ee, + (q31_t)0x7f36f4c3, (q31_t)0x7f342ab1, (q31_t)0x7f315bb7, (q31_t)0x7f2e87d6, (q31_t)0x7f2baf0d, (q31_t)0x7f28d15d, + (q31_t)0x7f25eec7, (q31_t)0x7f230749, + (q31_t)0x7f201ae5, (q31_t)0x7f1d299a, (q31_t)0x7f1a3368, (q31_t)0x7f173850, (q31_t)0x7f143852, (q31_t)0x7f11336d, + (q31_t)0x7f0e29a3, (q31_t)0x7f0b1af2, + (q31_t)0x7f08075c, (q31_t)0x7f04eedf, (q31_t)0x7f01d17d, (q31_t)0x7efeaf36, (q31_t)0x7efb8809, (q31_t)0x7ef85bf7, + (q31_t)0x7ef52b00, (q31_t)0x7ef1f524, + (q31_t)0x7eeeba62, (q31_t)0x7eeb7abc, (q31_t)0x7ee83632, (q31_t)0x7ee4ecc3, (q31_t)0x7ee19e6f, (q31_t)0x7ede4b38, + (q31_t)0x7edaf31c, (q31_t)0x7ed7961c, + (q31_t)0x7ed43438, (q31_t)0x7ed0cd70, (q31_t)0x7ecd61c5, (q31_t)0x7ec9f137, (q31_t)0x7ec67bc5, (q31_t)0x7ec3016f, + (q31_t)0x7ebf8237, (q31_t)0x7ebbfe1c, + (q31_t)0x7eb8751e, (q31_t)0x7eb4e73d, (q31_t)0x7eb1547a, (q31_t)0x7eadbcd4, (q31_t)0x7eaa204c, (q31_t)0x7ea67ee2, + (q31_t)0x7ea2d896, (q31_t)0x7e9f2d68, + (q31_t)0x7e9b7d58, (q31_t)0x7e97c867, (q31_t)0x7e940e94, (q31_t)0x7e904fe0, (q31_t)0x7e8c8c4b, (q31_t)0x7e88c3d5, + (q31_t)0x7e84f67e, (q31_t)0x7e812447, + (q31_t)0x7e7d4d2f, (q31_t)0x7e797136, (q31_t)0x7e75905d, (q31_t)0x7e71aaa4, (q31_t)0x7e6dc00c, (q31_t)0x7e69d093, + (q31_t)0x7e65dc3b, (q31_t)0x7e61e303, + (q31_t)0x7e5de4ec, (q31_t)0x7e59e1f5, (q31_t)0x7e55da20, (q31_t)0x7e51cd6c, (q31_t)0x7e4dbbd9, (q31_t)0x7e49a567, + (q31_t)0x7e458a17, (q31_t)0x7e4169e9, + (q31_t)0x7e3d44dd, (q31_t)0x7e391af3, (q31_t)0x7e34ec2b, (q31_t)0x7e30b885, (q31_t)0x7e2c8002, (q31_t)0x7e2842a2, + (q31_t)0x7e240064, (q31_t)0x7e1fb94a, + (q31_t)0x7e1b6d53, (q31_t)0x7e171c7f, (q31_t)0x7e12c6ce, (q31_t)0x7e0e6c42, (q31_t)0x7e0a0cd9, (q31_t)0x7e05a894, + (q31_t)0x7e013f74, (q31_t)0x7dfcd178, + (q31_t)0x7df85ea0, (q31_t)0x7df3e6ee, (q31_t)0x7def6a60, (q31_t)0x7deae8f7, (q31_t)0x7de662b3, (q31_t)0x7de1d795, + (q31_t)0x7ddd479d, (q31_t)0x7dd8b2ca, + (q31_t)0x7dd4191d, (q31_t)0x7dcf7a96, (q31_t)0x7dcad736, (q31_t)0x7dc62efc, (q31_t)0x7dc181e8, (q31_t)0x7dbccffc, + (q31_t)0x7db81936, (q31_t)0x7db35d98, + (q31_t)0x7dae9d21, (q31_t)0x7da9d7d2, (q31_t)0x7da50dab, (q31_t)0x7da03eab, (q31_t)0x7d9b6ad3, (q31_t)0x7d969224, + (q31_t)0x7d91b49e, (q31_t)0x7d8cd240, + (q31_t)0x7d87eb0a, (q31_t)0x7d82fefe, (q31_t)0x7d7e0e1c, (q31_t)0x7d791862, (q31_t)0x7d741dd2, (q31_t)0x7d6f1e6c, + (q31_t)0x7d6a1a31, (q31_t)0x7d65111f, + (q31_t)0x7d600338, (q31_t)0x7d5af07b, (q31_t)0x7d55d8e9, (q31_t)0x7d50bc82, (q31_t)0x7d4b9b46, (q31_t)0x7d467536, + (q31_t)0x7d414a51, (q31_t)0x7d3c1a98, + (q31_t)0x7d36e60b, (q31_t)0x7d31acaa, (q31_t)0x7d2c6e76, (q31_t)0x7d272b6e, (q31_t)0x7d21e393, (q31_t)0x7d1c96e5, + (q31_t)0x7d174564, (q31_t)0x7d11ef11, + (q31_t)0x7d0c93eb, (q31_t)0x7d0733f3, (q31_t)0x7d01cf29, (q31_t)0x7cfc658d, (q31_t)0x7cf6f720, (q31_t)0x7cf183e1, + (q31_t)0x7cec0bd1, (q31_t)0x7ce68ef0, + (q31_t)0x7ce10d3f, (q31_t)0x7cdb86bd, (q31_t)0x7cd5fb6a, (q31_t)0x7cd06b48, (q31_t)0x7ccad656, (q31_t)0x7cc53c94, + (q31_t)0x7cbf9e03, (q31_t)0x7cb9faa2, + (q31_t)0x7cb45272, (q31_t)0x7caea574, (q31_t)0x7ca8f3a7, (q31_t)0x7ca33d0c, (q31_t)0x7c9d81a3, (q31_t)0x7c97c16b, + (q31_t)0x7c91fc66, (q31_t)0x7c8c3294, + (q31_t)0x7c8663f4, (q31_t)0x7c809088, (q31_t)0x7c7ab84e, (q31_t)0x7c74db48, (q31_t)0x7c6ef976, (q31_t)0x7c6912d7, + (q31_t)0x7c63276d, (q31_t)0x7c5d3737, + (q31_t)0x7c574236, (q31_t)0x7c514869, (q31_t)0x7c4b49d2, (q31_t)0x7c45466f, (q31_t)0x7c3f3e42, (q31_t)0x7c39314b, + (q31_t)0x7c331f8a, (q31_t)0x7c2d08ff, + (q31_t)0x7c26edab, (q31_t)0x7c20cd8d, (q31_t)0x7c1aa8a6, (q31_t)0x7c147ef6, (q31_t)0x7c0e507e, (q31_t)0x7c081d3d, + (q31_t)0x7c01e534, (q31_t)0x7bfba863, + (q31_t)0x7bf566cb, (q31_t)0x7bef206b, (q31_t)0x7be8d544, (q31_t)0x7be28556, (q31_t)0x7bdc30a1, (q31_t)0x7bd5d726, + (q31_t)0x7bcf78e5, (q31_t)0x7bc915dd, + (q31_t)0x7bc2ae10, (q31_t)0x7bbc417e, (q31_t)0x7bb5d026, (q31_t)0x7baf5a09, (q31_t)0x7ba8df28, (q31_t)0x7ba25f82, + (q31_t)0x7b9bdb18, (q31_t)0x7b9551ea, + (q31_t)0x7b8ec3f8, (q31_t)0x7b883143, (q31_t)0x7b8199ca, (q31_t)0x7b7afd8f, (q31_t)0x7b745c91, (q31_t)0x7b6db6d0, + (q31_t)0x7b670c4d, (q31_t)0x7b605d09, + (q31_t)0x7b59a902, (q31_t)0x7b52f03a, (q31_t)0x7b4c32b1, (q31_t)0x7b457068, (q31_t)0x7b3ea95d, (q31_t)0x7b37dd92, + (q31_t)0x7b310d07, (q31_t)0x7b2a37bc, + (q31_t)0x7b235db2, (q31_t)0x7b1c7ee8, (q31_t)0x7b159b5f, (q31_t)0x7b0eb318, (q31_t)0x7b07c612, (q31_t)0x7b00d44d, + (q31_t)0x7af9ddcb, (q31_t)0x7af2e28b, + (q31_t)0x7aebe28d, (q31_t)0x7ae4ddd2, (q31_t)0x7addd45b, (q31_t)0x7ad6c626, (q31_t)0x7acfb336, (q31_t)0x7ac89b89, + (q31_t)0x7ac17f20, (q31_t)0x7aba5dfc, + (q31_t)0x7ab3381d, (q31_t)0x7aac0d82, (q31_t)0x7aa4de2d, (q31_t)0x7a9daa1d, (q31_t)0x7a967153, (q31_t)0x7a8f33d0, + (q31_t)0x7a87f192, (q31_t)0x7a80aa9c, + (q31_t)0x7a795eec, (q31_t)0x7a720e84, (q31_t)0x7a6ab963, (q31_t)0x7a635f8a, (q31_t)0x7a5c00f9, (q31_t)0x7a549db0, + (q31_t)0x7a4d35b0, (q31_t)0x7a45c8f9, + (q31_t)0x7a3e578b, (q31_t)0x7a36e166, (q31_t)0x7a2f668c, (q31_t)0x7a27e6fb, (q31_t)0x7a2062b5, (q31_t)0x7a18d9b9, + (q31_t)0x7a114c09, (q31_t)0x7a09b9a4, + (q31_t)0x7a02228a, (q31_t)0x79fa86bc, (q31_t)0x79f2e63a, (q31_t)0x79eb4105, (q31_t)0x79e3971c, (q31_t)0x79dbe880, + (q31_t)0x79d43532, (q31_t)0x79cc7d31, + (q31_t)0x79c4c07e, (q31_t)0x79bcff19, (q31_t)0x79b53903, (q31_t)0x79ad6e3c, (q31_t)0x79a59ec3, (q31_t)0x799dca9a, + (q31_t)0x7995f1c1, (q31_t)0x798e1438, + (q31_t)0x798631ff, (q31_t)0x797e4b16, (q31_t)0x79765f7f, (q31_t)0x796e6f39, (q31_t)0x79667a44, (q31_t)0x795e80a1, + (q31_t)0x79568250, (q31_t)0x794e7f52, + (q31_t)0x794677a6, (q31_t)0x793e6b4e, (q31_t)0x79365a49, (q31_t)0x792e4497, (q31_t)0x79262a3a, (q31_t)0x791e0b31, + (q31_t)0x7915e77c, (q31_t)0x790dbf1d, + (q31_t)0x79059212, (q31_t)0x78fd605d, (q31_t)0x78f529fe, (q31_t)0x78eceef6, (q31_t)0x78e4af44, (q31_t)0x78dc6ae8, + (q31_t)0x78d421e4, (q31_t)0x78cbd437, + (q31_t)0x78c381e2, (q31_t)0x78bb2ae5, (q31_t)0x78b2cf41, (q31_t)0x78aa6ef5, (q31_t)0x78a20a03, (q31_t)0x7899a06a, + (q31_t)0x7891322a, (q31_t)0x7888bf45, + (q31_t)0x788047ba, (q31_t)0x7877cb89, (q31_t)0x786f4ab4, (q31_t)0x7866c53a, (q31_t)0x785e3b1c, (q31_t)0x7855ac5a, + (q31_t)0x784d18f4, (q31_t)0x784480ea, + (q31_t)0x783be43e, (q31_t)0x783342ef, (q31_t)0x782a9cfe, (q31_t)0x7821f26b, (q31_t)0x78194336, (q31_t)0x78108f60, + (q31_t)0x7807d6e9, (q31_t)0x77ff19d1, + (q31_t)0x77f65819, (q31_t)0x77ed91c0, (q31_t)0x77e4c6c9, (q31_t)0x77dbf732, (q31_t)0x77d322fc, (q31_t)0x77ca4a27, + (q31_t)0x77c16cb4, (q31_t)0x77b88aa3, + (q31_t)0x77afa3f5, (q31_t)0x77a6b8a9, (q31_t)0x779dc8c0, (q31_t)0x7794d43b, (q31_t)0x778bdb19, (q31_t)0x7782dd5c, + (q31_t)0x7779db03, (q31_t)0x7770d40f, + (q31_t)0x7767c880, (q31_t)0x775eb857, (q31_t)0x7755a394, (q31_t)0x774c8a36, (q31_t)0x77436c40, (q31_t)0x773a49b0, + (q31_t)0x77312287, (q31_t)0x7727f6c6, + (q31_t)0x771ec66e, (q31_t)0x7715917d, (q31_t)0x770c57f5, (q31_t)0x770319d6, (q31_t)0x76f9d721, (q31_t)0x76f08fd5, + (q31_t)0x76e743f4, (q31_t)0x76ddf37c, + (q31_t)0x76d49e70, (q31_t)0x76cb44cf, (q31_t)0x76c1e699, (q31_t)0x76b883d0, (q31_t)0x76af1c72, (q31_t)0x76a5b082, + (q31_t)0x769c3ffe, (q31_t)0x7692cae8, + (q31_t)0x7689513f, (q31_t)0x767fd304, (q31_t)0x76765038, (q31_t)0x766cc8db, (q31_t)0x76633ced, (q31_t)0x7659ac6f, + (q31_t)0x76501760, (q31_t)0x76467dc2, + (q31_t)0x763cdf94, (q31_t)0x76333cd8, (q31_t)0x7629958c, (q31_t)0x761fe9b3, (q31_t)0x7616394c, (q31_t)0x760c8457, + (q31_t)0x7602cad5, (q31_t)0x75f90cc7, + (q31_t)0x75ef4a2c, (q31_t)0x75e58305, (q31_t)0x75dbb753, (q31_t)0x75d1e715, (q31_t)0x75c8124d, (q31_t)0x75be38fa, + (q31_t)0x75b45b1d, (q31_t)0x75aa78b6, + (q31_t)0x75a091c6, (q31_t)0x7596a64d, (q31_t)0x758cb64c, (q31_t)0x7582c1c2, (q31_t)0x7578c8b0, (q31_t)0x756ecb18, + (q31_t)0x7564c8f8, (q31_t)0x755ac251, + (q31_t)0x7550b725, (q31_t)0x7546a772, (q31_t)0x753c933a, (q31_t)0x75327a7d, (q31_t)0x75285d3b, (q31_t)0x751e3b75, + (q31_t)0x7514152b, (q31_t)0x7509ea5d, + (q31_t)0x74ffbb0d, (q31_t)0x74f58739, (q31_t)0x74eb4ee3, (q31_t)0x74e1120c, (q31_t)0x74d6d0b2, (q31_t)0x74cc8ad8, + (q31_t)0x74c2407d, (q31_t)0x74b7f1a1, + (q31_t)0x74ad9e46, (q31_t)0x74a3466b, (q31_t)0x7498ea11, (q31_t)0x748e8938, (q31_t)0x748423e0, (q31_t)0x7479ba0b, + (q31_t)0x746f4bb8, (q31_t)0x7464d8e8, + (q31_t)0x745a619b, (q31_t)0x744fe5d2, (q31_t)0x7445658d, (q31_t)0x743ae0cc, (q31_t)0x74305790, (q31_t)0x7425c9da, + (q31_t)0x741b37a9, (q31_t)0x7410a0fe, + (q31_t)0x740605d9, (q31_t)0x73fb663c, (q31_t)0x73f0c226, (q31_t)0x73e61997, (q31_t)0x73db6c91, (q31_t)0x73d0bb13, + (q31_t)0x73c6051f, (q31_t)0x73bb4ab3, + (q31_t)0x73b08bd1, (q31_t)0x73a5c87a, (q31_t)0x739b00ad, (q31_t)0x7390346b, (q31_t)0x738563b5, (q31_t)0x737a8e8a, + (q31_t)0x736fb4ec, (q31_t)0x7364d6da, + (q31_t)0x7359f456, (q31_t)0x734f0d5f, (q31_t)0x734421f6, (q31_t)0x7339321b, (q31_t)0x732e3dcf, (q31_t)0x73234512, + (q31_t)0x731847e5, (q31_t)0x730d4648, + (q31_t)0x7302403c, (q31_t)0x72f735c0, (q31_t)0x72ec26d6, (q31_t)0x72e1137d, (q31_t)0x72d5fbb7, (q31_t)0x72cadf83, + (q31_t)0x72bfbee3, (q31_t)0x72b499d6, + (q31_t)0x72a9705c, (q31_t)0x729e4277, (q31_t)0x72931027, (q31_t)0x7287d96c, (q31_t)0x727c9e47, (q31_t)0x72715eb8, + (q31_t)0x72661abf, (q31_t)0x725ad25d, + (q31_t)0x724f8593, (q31_t)0x72443460, (q31_t)0x7238dec5, (q31_t)0x722d84c4, (q31_t)0x7222265b, (q31_t)0x7216c38c, + (q31_t)0x720b5c57, (q31_t)0x71fff0bc, + (q31_t)0x71f480bc, (q31_t)0x71e90c57, (q31_t)0x71dd938f, (q31_t)0x71d21662, (q31_t)0x71c694d2, (q31_t)0x71bb0edf, + (q31_t)0x71af848a, (q31_t)0x71a3f5d2, + (q31_t)0x719862b9, (q31_t)0x718ccb3f, (q31_t)0x71812f65, (q31_t)0x71758f29, (q31_t)0x7169ea8f, (q31_t)0x715e4194, + (q31_t)0x7152943b, (q31_t)0x7146e284, + (q31_t)0x713b2c6e, (q31_t)0x712f71fb, (q31_t)0x7123b32b, (q31_t)0x7117effe, (q31_t)0x710c2875, (q31_t)0x71005c90, + (q31_t)0x70f48c50, (q31_t)0x70e8b7b5, + (q31_t)0x70dcdec0, (q31_t)0x70d10171, (q31_t)0x70c51fc8, (q31_t)0x70b939c7, (q31_t)0x70ad4f6d, (q31_t)0x70a160ba, + (q31_t)0x70956db1, (q31_t)0x70897650, + (q31_t)0x707d7a98, (q31_t)0x70717a8a, (q31_t)0x70657626, (q31_t)0x70596d6d, (q31_t)0x704d6060, (q31_t)0x70414efd, + (q31_t)0x70353947, (q31_t)0x70291f3e, + (q31_t)0x701d00e1, (q31_t)0x7010de32, (q31_t)0x7004b731, (q31_t)0x6ff88bde, (q31_t)0x6fec5c3b, (q31_t)0x6fe02846, + (q31_t)0x6fd3f001, (q31_t)0x6fc7b36d, + (q31_t)0x6fbb728a, (q31_t)0x6faf2d57, (q31_t)0x6fa2e3d7, (q31_t)0x6f969608, (q31_t)0x6f8a43ed, (q31_t)0x6f7ded84, + (q31_t)0x6f7192cf, (q31_t)0x6f6533ce, + (q31_t)0x6f58d082, (q31_t)0x6f4c68eb, (q31_t)0x6f3ffd09, (q31_t)0x6f338cde, (q31_t)0x6f271868, (q31_t)0x6f1a9faa, + (q31_t)0x6f0e22a3, (q31_t)0x6f01a155, + (q31_t)0x6ef51bbe, (q31_t)0x6ee891e1, (q31_t)0x6edc03bc, (q31_t)0x6ecf7152, (q31_t)0x6ec2daa2, (q31_t)0x6eb63fad, + (q31_t)0x6ea9a073, (q31_t)0x6e9cfcf5, + (q31_t)0x6e905534, (q31_t)0x6e83a92f, (q31_t)0x6e76f8e7, (q31_t)0x6e6a445d, (q31_t)0x6e5d8b91, (q31_t)0x6e50ce84, + (q31_t)0x6e440d37, (q31_t)0x6e3747a9, + (q31_t)0x6e2a7ddb, (q31_t)0x6e1dafce, (q31_t)0x6e10dd82, (q31_t)0x6e0406f8, (q31_t)0x6df72c30, (q31_t)0x6dea4d2b, + (q31_t)0x6ddd69e9, (q31_t)0x6dd0826a, + (q31_t)0x6dc396b0, (q31_t)0x6db6a6ba, (q31_t)0x6da9b28a, (q31_t)0x6d9cba1f, (q31_t)0x6d8fbd7a, (q31_t)0x6d82bc9d, + (q31_t)0x6d75b786, (q31_t)0x6d68ae37, + (q31_t)0x6d5ba0b0, (q31_t)0x6d4e8ef2, (q31_t)0x6d4178fd, (q31_t)0x6d345ed1, (q31_t)0x6d274070, (q31_t)0x6d1a1dda, + (q31_t)0x6d0cf70f, (q31_t)0x6cffcc0f, + (q31_t)0x6cf29cdc, (q31_t)0x6ce56975, (q31_t)0x6cd831dc, (q31_t)0x6ccaf610, (q31_t)0x6cbdb613, (q31_t)0x6cb071e4, + (q31_t)0x6ca32985, (q31_t)0x6c95dcf6, + (q31_t)0x6c888c36, (q31_t)0x6c7b3748, (q31_t)0x6c6dde2b, (q31_t)0x6c6080e0, (q31_t)0x6c531f67, (q31_t)0x6c45b9c1, + (q31_t)0x6c384fef, (q31_t)0x6c2ae1f0, + (q31_t)0x6c1d6fc6, (q31_t)0x6c0ff971, (q31_t)0x6c027ef1, (q31_t)0x6bf50047, (q31_t)0x6be77d74, (q31_t)0x6bd9f677, + (q31_t)0x6bcc6b53, (q31_t)0x6bbedc06, + (q31_t)0x6bb14892, (q31_t)0x6ba3b0f7, (q31_t)0x6b961536, (q31_t)0x6b88754f, (q31_t)0x6b7ad142, (q31_t)0x6b6d2911, + (q31_t)0x6b5f7cbc, (q31_t)0x6b51cc42, + (q31_t)0x6b4417a6, (q31_t)0x6b365ee7, (q31_t)0x6b28a206, (q31_t)0x6b1ae103, (q31_t)0x6b0d1bdf, (q31_t)0x6aff529a, + (q31_t)0x6af18536, (q31_t)0x6ae3b3b2, + (q31_t)0x6ad5de0f, (q31_t)0x6ac8044e, (q31_t)0x6aba266e, (q31_t)0x6aac4472, (q31_t)0x6a9e5e58, (q31_t)0x6a907423, + (q31_t)0x6a8285d1, (q31_t)0x6a749365, + (q31_t)0x6a669cdd, (q31_t)0x6a58a23c, (q31_t)0x6a4aa381, (q31_t)0x6a3ca0ad, (q31_t)0x6a2e99c0, (q31_t)0x6a208ebb, + (q31_t)0x6a127f9f, (q31_t)0x6a046c6c, + (q31_t)0x69f65523, (q31_t)0x69e839c4, (q31_t)0x69da1a50, (q31_t)0x69cbf6c7, (q31_t)0x69bdcf29, (q31_t)0x69afa378, + (q31_t)0x69a173b5, (q31_t)0x69933fde, + (q31_t)0x698507f6, (q31_t)0x6976cbfc, (q31_t)0x69688bf1, (q31_t)0x695a47d6, (q31_t)0x694bffab, (q31_t)0x693db371, + (q31_t)0x692f6328, (q31_t)0x69210ed1, + (q31_t)0x6912b66c, (q31_t)0x690459fb, (q31_t)0x68f5f97d, (q31_t)0x68e794f3, (q31_t)0x68d92c5d, (q31_t)0x68cabfbd, + (q31_t)0x68bc4f13, (q31_t)0x68adda5f, + (q31_t)0x689f61a1, (q31_t)0x6890e4dc, (q31_t)0x6882640e, (q31_t)0x6873df38, (q31_t)0x6865565c, (q31_t)0x6856c979, + (q31_t)0x68483891, (q31_t)0x6839a3a4, + (q31_t)0x682b0ab1, (q31_t)0x681c6dbb, (q31_t)0x680dccc1, (q31_t)0x67ff27c4, (q31_t)0x67f07ec5, (q31_t)0x67e1d1c4, + (q31_t)0x67d320c1, (q31_t)0x67c46bbe, + (q31_t)0x67b5b2bb, (q31_t)0x67a6f5b8, (q31_t)0x679834b6, (q31_t)0x67896fb6, (q31_t)0x677aa6b8, (q31_t)0x676bd9bd, + (q31_t)0x675d08c4, (q31_t)0x674e33d0, + (q31_t)0x673f5ae0, (q31_t)0x67307df5, (q31_t)0x67219d10, (q31_t)0x6712b831, (q31_t)0x6703cf58, (q31_t)0x66f4e287, + (q31_t)0x66e5f1be, (q31_t)0x66d6fcfd, + (q31_t)0x66c80445, (q31_t)0x66b90797, (q31_t)0x66aa06f3, (q31_t)0x669b0259, (q31_t)0x668bf9cb, (q31_t)0x667ced49, + (q31_t)0x666ddcd3, (q31_t)0x665ec86b, + (q31_t)0x664fb010, (q31_t)0x664093c3, (q31_t)0x66317385, (q31_t)0x66224f56, (q31_t)0x66132738, (q31_t)0x6603fb2a, + (q31_t)0x65f4cb2d, (q31_t)0x65e59742, + (q31_t)0x65d65f69, (q31_t)0x65c723a3, (q31_t)0x65b7e3f1, (q31_t)0x65a8a052, (q31_t)0x659958c9, (q31_t)0x658a0d54, + (q31_t)0x657abdf6, (q31_t)0x656b6aae, + (q31_t)0x655c137d, (q31_t)0x654cb863, (q31_t)0x653d5962, (q31_t)0x652df679, (q31_t)0x651e8faa, (q31_t)0x650f24f5, + (q31_t)0x64ffb65b, (q31_t)0x64f043dc, + (q31_t)0x64e0cd78, (q31_t)0x64d15331, (q31_t)0x64c1d507, (q31_t)0x64b252fa, (q31_t)0x64a2cd0c, (q31_t)0x6493433c, + (q31_t)0x6483b58c, (q31_t)0x647423fb, + (q31_t)0x64648e8c, (q31_t)0x6454f53d, (q31_t)0x64455810, (q31_t)0x6435b706, (q31_t)0x6426121e, (q31_t)0x6416695a, + (q31_t)0x6406bcba, (q31_t)0x63f70c3f, + (q31_t)0x63e757ea, (q31_t)0x63d79fba, (q31_t)0x63c7e3b1, (q31_t)0x63b823cf, (q31_t)0x63a86015, (q31_t)0x63989884, + (q31_t)0x6388cd1b, (q31_t)0x6378fddc, + (q31_t)0x63692ac7, (q31_t)0x635953dd, (q31_t)0x6349791f, (q31_t)0x63399a8d, (q31_t)0x6329b827, (q31_t)0x6319d1ef, + (q31_t)0x6309e7e4, (q31_t)0x62f9fa09, + (q31_t)0x62ea085c, (q31_t)0x62da12df, (q31_t)0x62ca1992, (q31_t)0x62ba1c77, (q31_t)0x62aa1b8d, (q31_t)0x629a16d5, + (q31_t)0x628a0e50, (q31_t)0x627a01fe, + (q31_t)0x6269f1e1, (q31_t)0x6259ddf8, (q31_t)0x6249c645, (q31_t)0x6239aac7, (q31_t)0x62298b81, (q31_t)0x62196871, + (q31_t)0x62094199, (q31_t)0x61f916f9, + (q31_t)0x61e8e893, (q31_t)0x61d8b666, (q31_t)0x61c88074, (q31_t)0x61b846bc, (q31_t)0x61a80940, (q31_t)0x6197c800, + (q31_t)0x618782fd, (q31_t)0x61773a37, + (q31_t)0x6166edb0, (q31_t)0x61569d67, (q31_t)0x6146495d, (q31_t)0x6135f193, (q31_t)0x6125960a, (q31_t)0x611536c2, + (q31_t)0x6104d3bc, (q31_t)0x60f46cf9, + (q31_t)0x60e40278, (q31_t)0x60d3943b, (q31_t)0x60c32243, (q31_t)0x60b2ac8f, (q31_t)0x60a23322, (q31_t)0x6091b5fa, + (q31_t)0x60813519, (q31_t)0x6070b080, + (q31_t)0x6060282f, (q31_t)0x604f9c27, (q31_t)0x603f0c69, (q31_t)0x602e78f4, (q31_t)0x601de1ca, (q31_t)0x600d46ec, + (q31_t)0x5ffca859, (q31_t)0x5fec0613, + (q31_t)0x5fdb601b, (q31_t)0x5fcab670, (q31_t)0x5fba0914, (q31_t)0x5fa95807, (q31_t)0x5f98a34a, (q31_t)0x5f87eade, + (q31_t)0x5f772ec2, (q31_t)0x5f666ef9, + (q31_t)0x5f55ab82, (q31_t)0x5f44e45e, (q31_t)0x5f34198e, (q31_t)0x5f234b12, (q31_t)0x5f1278eb, (q31_t)0x5f01a31a, + (q31_t)0x5ef0c99f, (q31_t)0x5edfec7b, + (q31_t)0x5ecf0baf, (q31_t)0x5ebe273b, (q31_t)0x5ead3f1f, (q31_t)0x5e9c535e, (q31_t)0x5e8b63f7, (q31_t)0x5e7a70ea, + (q31_t)0x5e697a39, (q31_t)0x5e587fe5, + (q31_t)0x5e4781ed, (q31_t)0x5e368053, (q31_t)0x5e257b17, (q31_t)0x5e147239, (q31_t)0x5e0365bb, (q31_t)0x5df2559e, + (q31_t)0x5de141e1, (q31_t)0x5dd02a85, + (q31_t)0x5dbf0f8c, (q31_t)0x5dadf0f5, (q31_t)0x5d9ccec2, (q31_t)0x5d8ba8f3, (q31_t)0x5d7a7f88, (q31_t)0x5d695283, + (q31_t)0x5d5821e4, (q31_t)0x5d46edac, + (q31_t)0x5d35b5db, (q31_t)0x5d247a72, (q31_t)0x5d133b72, (q31_t)0x5d01f8dc, (q31_t)0x5cf0b2af, (q31_t)0x5cdf68ed, + (q31_t)0x5cce1b97, (q31_t)0x5cbccaac, + (q31_t)0x5cab762f, (q31_t)0x5c9a1e1e, (q31_t)0x5c88c27c, (q31_t)0x5c776348, (q31_t)0x5c660084, (q31_t)0x5c549a30, + (q31_t)0x5c43304d, (q31_t)0x5c31c2db, + (q31_t)0x5c2051db, (q31_t)0x5c0edd4e, (q31_t)0x5bfd6534, (q31_t)0x5bebe98e, (q31_t)0x5bda6a5d, (q31_t)0x5bc8e7a2, + (q31_t)0x5bb7615d, (q31_t)0x5ba5d78e, + (q31_t)0x5b944a37, (q31_t)0x5b82b958, (q31_t)0x5b7124f2, (q31_t)0x5b5f8d06, (q31_t)0x5b4df193, (q31_t)0x5b3c529c, + (q31_t)0x5b2ab020, (q31_t)0x5b190a20, + (q31_t)0x5b07609d, (q31_t)0x5af5b398, (q31_t)0x5ae40311, (q31_t)0x5ad24f09, (q31_t)0x5ac09781, (q31_t)0x5aaedc78, + (q31_t)0x5a9d1df1, (q31_t)0x5a8b5bec, + (q31_t)0x5a799669, (q31_t)0x5a67cd69, (q31_t)0x5a5600ec, (q31_t)0x5a4430f5, (q31_t)0x5a325d82, (q31_t)0x5a208695, + (q31_t)0x5a0eac2e, (q31_t)0x59fcce4f, + (q31_t)0x59eaecf8, (q31_t)0x59d90829, (q31_t)0x59c71fe3, (q31_t)0x59b53427, (q31_t)0x59a344f6, (q31_t)0x59915250, + (q31_t)0x597f5c36, (q31_t)0x596d62a9, + (q31_t)0x595b65aa, (q31_t)0x59496538, (q31_t)0x59376155, (q31_t)0x59255a02, (q31_t)0x59134f3e, (q31_t)0x5901410c, + (q31_t)0x58ef2f6b, (q31_t)0x58dd1a5d, + (q31_t)0x58cb01e1, (q31_t)0x58b8e5f9, (q31_t)0x58a6c6a5, (q31_t)0x5894a3e7, (q31_t)0x58827dbe, (q31_t)0x5870542c, + (q31_t)0x585e2730, (q31_t)0x584bf6cd, + (q31_t)0x5839c302, (q31_t)0x58278bd1, (q31_t)0x58155139, (q31_t)0x5803133c, (q31_t)0x57f0d1da, (q31_t)0x57de8d15, + (q31_t)0x57cc44ec, (q31_t)0x57b9f960, + (q31_t)0x57a7aa73, (q31_t)0x57955825, (q31_t)0x57830276, (q31_t)0x5770a968, (q31_t)0x575e4cfa, (q31_t)0x574bed2f, + (q31_t)0x57398a05, (q31_t)0x5727237f, + (q31_t)0x5714b99d, (q31_t)0x57024c5f, (q31_t)0x56efdbc7, (q31_t)0x56dd67d4, (q31_t)0x56caf088, (q31_t)0x56b875e4, + (q31_t)0x56a5f7e7, (q31_t)0x56937694, + (q31_t)0x5680f1ea, (q31_t)0x566e69ea, (q31_t)0x565bde95, (q31_t)0x56494fec, (q31_t)0x5636bdef, (q31_t)0x5624289f, + (q31_t)0x56118ffe, (q31_t)0x55fef40a, + (q31_t)0x55ec54c6, (q31_t)0x55d9b232, (q31_t)0x55c70c4f, (q31_t)0x55b4631d, (q31_t)0x55a1b69d, (q31_t)0x558f06d0, + (q31_t)0x557c53b6, (q31_t)0x55699d51, + (q31_t)0x5556e3a1, (q31_t)0x554426a7, (q31_t)0x55316663, (q31_t)0x551ea2d6, (q31_t)0x550bdc01, (q31_t)0x54f911e5, + (q31_t)0x54e64482, (q31_t)0x54d373d9, + (q31_t)0x54c09feb, (q31_t)0x54adc8b8, (q31_t)0x549aee42, (q31_t)0x54881089, (q31_t)0x54752f8d, (q31_t)0x54624b50, + (q31_t)0x544f63d2, (q31_t)0x543c7914, + (q31_t)0x54298b17, (q31_t)0x541699db, (q31_t)0x5403a561, (q31_t)0x53f0adaa, (q31_t)0x53ddb2b6, (q31_t)0x53cab486, + (q31_t)0x53b7b31c, (q31_t)0x53a4ae77, + (q31_t)0x5391a699, (q31_t)0x537e9b82, (q31_t)0x536b8d33, (q31_t)0x53587bad, (q31_t)0x534566f0, (q31_t)0x53324efd, + (q31_t)0x531f33d5, (q31_t)0x530c1579, + (q31_t)0x52f8f3e9, (q31_t)0x52e5cf27, (q31_t)0x52d2a732, (q31_t)0x52bf7c0b, (q31_t)0x52ac4db4, (q31_t)0x52991c2d, + (q31_t)0x5285e777, (q31_t)0x5272af92, + (q31_t)0x525f7480, (q31_t)0x524c3640, (q31_t)0x5238f4d4, (q31_t)0x5225b03d, (q31_t)0x5212687b, (q31_t)0x51ff1d8f, + (q31_t)0x51ebcf7a, (q31_t)0x51d87e3c, + (q31_t)0x51c529d7, (q31_t)0x51b1d24a, (q31_t)0x519e7797, (q31_t)0x518b19bf, (q31_t)0x5177b8c2, (q31_t)0x516454a0, + (q31_t)0x5150ed5c, (q31_t)0x513d82f4, + (q31_t)0x512a156b, (q31_t)0x5116a4c1, (q31_t)0x510330f7, (q31_t)0x50efba0d, (q31_t)0x50dc4005, (q31_t)0x50c8c2de, + (q31_t)0x50b5429a, (q31_t)0x50a1bf39, + (q31_t)0x508e38bd, (q31_t)0x507aaf25, (q31_t)0x50672273, (q31_t)0x505392a8, (q31_t)0x503fffc4, (q31_t)0x502c69c8, + (q31_t)0x5018d0b4, (q31_t)0x5005348a, + (q31_t)0x4ff1954b, (q31_t)0x4fddf2f6, (q31_t)0x4fca4d8d, (q31_t)0x4fb6a510, (q31_t)0x4fa2f981, (q31_t)0x4f8f4ae0, + (q31_t)0x4f7b992d, (q31_t)0x4f67e46a, + (q31_t)0x4f542c98, (q31_t)0x4f4071b6, (q31_t)0x4f2cb3c7, (q31_t)0x4f18f2c9, (q31_t)0x4f052ec0, (q31_t)0x4ef167aa, + (q31_t)0x4edd9d89, (q31_t)0x4ec9d05e, + (q31_t)0x4eb60029, (q31_t)0x4ea22ceb, (q31_t)0x4e8e56a5, (q31_t)0x4e7a7d58, (q31_t)0x4e66a105, (q31_t)0x4e52c1ab, + (q31_t)0x4e3edf4d, (q31_t)0x4e2af9ea, + (q31_t)0x4e171184, (q31_t)0x4e03261b, (q31_t)0x4def37b0, (q31_t)0x4ddb4644, (q31_t)0x4dc751d8, (q31_t)0x4db35a6c, + (q31_t)0x4d9f6001, (q31_t)0x4d8b6298, + (q31_t)0x4d776231, (q31_t)0x4d635ece, (q31_t)0x4d4f5870, (q31_t)0x4d3b4f16, (q31_t)0x4d2742c2, (q31_t)0x4d133374, + (q31_t)0x4cff212e, (q31_t)0x4ceb0bf0, + (q31_t)0x4cd6f3bb, (q31_t)0x4cc2d88f, (q31_t)0x4caeba6e, (q31_t)0x4c9a9958, (q31_t)0x4c86754e, (q31_t)0x4c724e50, + (q31_t)0x4c5e2460, (q31_t)0x4c49f77f, + (q31_t)0x4c35c7ac, (q31_t)0x4c2194e9, (q31_t)0x4c0d5f37, (q31_t)0x4bf92697, (q31_t)0x4be4eb08, (q31_t)0x4bd0ac8d, + (q31_t)0x4bbc6b25, (q31_t)0x4ba826d1, + (q31_t)0x4b93df93, (q31_t)0x4b7f956b, (q31_t)0x4b6b485a, (q31_t)0x4b56f861, (q31_t)0x4b42a580, (q31_t)0x4b2e4fb8, + (q31_t)0x4b19f70a, (q31_t)0x4b059b77, + (q31_t)0x4af13d00, (q31_t)0x4adcdba5, (q31_t)0x4ac87767, (q31_t)0x4ab41046, (q31_t)0x4a9fa645, (q31_t)0x4a8b3963, + (q31_t)0x4a76c9a2, (q31_t)0x4a625701, + (q31_t)0x4a4de182, (q31_t)0x4a396926, (q31_t)0x4a24edee, (q31_t)0x4a106fda, (q31_t)0x49fbeeea, (q31_t)0x49e76b21, + (q31_t)0x49d2e47e, (q31_t)0x49be5b02, + (q31_t)0x49a9ceaf, (q31_t)0x49953f84, (q31_t)0x4980ad84, (q31_t)0x496c18ae, (q31_t)0x49578103, (q31_t)0x4942e684, + (q31_t)0x492e4933, (q31_t)0x4919a90f, + (q31_t)0x4905061a, (q31_t)0x48f06054, (q31_t)0x48dbb7be, (q31_t)0x48c70c59, (q31_t)0x48b25e25, (q31_t)0x489dad25, + (q31_t)0x4888f957, (q31_t)0x487442be, + (q31_t)0x485f8959, (q31_t)0x484acd2a, (q31_t)0x48360e32, (q31_t)0x48214c71, (q31_t)0x480c87e8, (q31_t)0x47f7c099, + (q31_t)0x47e2f682, (q31_t)0x47ce29a7, + (q31_t)0x47b95a06, (q31_t)0x47a487a2, (q31_t)0x478fb27b, (q31_t)0x477ada91, (q31_t)0x4765ffe6, (q31_t)0x4751227a, + (q31_t)0x473c424e, (q31_t)0x47275f63, + (q31_t)0x471279ba, (q31_t)0x46fd9154, (q31_t)0x46e8a631, (q31_t)0x46d3b852, (q31_t)0x46bec7b8, (q31_t)0x46a9d464, + (q31_t)0x4694de56, (q31_t)0x467fe590, + (q31_t)0x466aea12, (q31_t)0x4655ebdd, (q31_t)0x4640eaf2, (q31_t)0x462be751, (q31_t)0x4616e0fc, (q31_t)0x4601d7f3, + (q31_t)0x45eccc37, (q31_t)0x45d7bdc9, + (q31_t)0x45c2acaa, (q31_t)0x45ad98da, (q31_t)0x4598825a, (q31_t)0x4583692c, (q31_t)0x456e4d4f, (q31_t)0x45592ec6, + (q31_t)0x45440d90, (q31_t)0x452ee9ae, + (q31_t)0x4519c321, (q31_t)0x450499eb, (q31_t)0x44ef6e0b, (q31_t)0x44da3f83, (q31_t)0x44c50e53, (q31_t)0x44afda7d, + (q31_t)0x449aa400, (q31_t)0x44856adf, + (q31_t)0x44702f19, (q31_t)0x445af0b0, (q31_t)0x4445afa4, (q31_t)0x44306bf6, (q31_t)0x441b25a8, (q31_t)0x4405dcb9, + (q31_t)0x43f0912b, (q31_t)0x43db42fe, + (q31_t)0x43c5f234, (q31_t)0x43b09ecc, (q31_t)0x439b48c9, (q31_t)0x4385f02a, (q31_t)0x437094f1, (q31_t)0x435b371f, + (q31_t)0x4345d6b3, (q31_t)0x433073b0, + (q31_t)0x431b0e15, (q31_t)0x4305a5e5, (q31_t)0x42f03b1e, (q31_t)0x42dacdc3, (q31_t)0x42c55dd4, (q31_t)0x42afeb53, + (q31_t)0x429a763f, (q31_t)0x4284fe99, + (q31_t)0x426f8463, (q31_t)0x425a079e, (q31_t)0x42448849, (q31_t)0x422f0667, (q31_t)0x421981f7, (q31_t)0x4203fafb, + (q31_t)0x41ee7174, (q31_t)0x41d8e561, + (q31_t)0x41c356c5, (q31_t)0x41adc5a0, (q31_t)0x419831f3, (q31_t)0x41829bbe, (q31_t)0x416d0302, (q31_t)0x415767c1, + (q31_t)0x4141c9fb, (q31_t)0x412c29b1, + (q31_t)0x411686e4, (q31_t)0x4100e194, (q31_t)0x40eb39c3, (q31_t)0x40d58f71, (q31_t)0x40bfe29f, (q31_t)0x40aa334e, + (q31_t)0x4094817f, (q31_t)0x407ecd32, + (q31_t)0x40691669, (q31_t)0x40535d24, (q31_t)0x403da165, (q31_t)0x4027e32b, (q31_t)0x40122278, (q31_t)0x3ffc5f4d, + (q31_t)0x3fe699aa, (q31_t)0x3fd0d191, + (q31_t)0x3fbb0702, (q31_t)0x3fa539fd, (q31_t)0x3f8f6a85, (q31_t)0x3f799899, (q31_t)0x3f63c43b, (q31_t)0x3f4ded6b, + (q31_t)0x3f38142a, (q31_t)0x3f22387a, + (q31_t)0x3f0c5a5a, (q31_t)0x3ef679cc, (q31_t)0x3ee096d1, (q31_t)0x3ecab169, (q31_t)0x3eb4c995, (q31_t)0x3e9edf57, + (q31_t)0x3e88f2ae, (q31_t)0x3e73039d, + (q31_t)0x3e5d1222, (q31_t)0x3e471e41, (q31_t)0x3e3127f9, (q31_t)0x3e1b2f4a, (q31_t)0x3e053437, (q31_t)0x3def36c0, + (q31_t)0x3dd936e6, (q31_t)0x3dc334a9, + (q31_t)0x3dad300b, (q31_t)0x3d97290b, (q31_t)0x3d811fac, (q31_t)0x3d6b13ee, (q31_t)0x3d5505d2, (q31_t)0x3d3ef559, + (q31_t)0x3d28e282, (q31_t)0x3d12cd51, + (q31_t)0x3cfcb5c4, (q31_t)0x3ce69bde, (q31_t)0x3cd07f9f, (q31_t)0x3cba6107, (q31_t)0x3ca44018, (q31_t)0x3c8e1cd3, + (q31_t)0x3c77f737, (q31_t)0x3c61cf48, + (q31_t)0x3c4ba504, (q31_t)0x3c35786d, (q31_t)0x3c1f4983, (q31_t)0x3c091849, (q31_t)0x3bf2e4be, (q31_t)0x3bdcaee3, + (q31_t)0x3bc676b9, (q31_t)0x3bb03c42, + (q31_t)0x3b99ff7d, (q31_t)0x3b83c06c, (q31_t)0x3b6d7f10, (q31_t)0x3b573b69, (q31_t)0x3b40f579, (q31_t)0x3b2aad3f, + (q31_t)0x3b1462be, (q31_t)0x3afe15f6, + (q31_t)0x3ae7c6e7, (q31_t)0x3ad17593, (q31_t)0x3abb21fb, (q31_t)0x3aa4cc1e, (q31_t)0x3a8e7400, (q31_t)0x3a78199f, + (q31_t)0x3a61bcfd, (q31_t)0x3a4b5e1b, + (q31_t)0x3a34fcf9, (q31_t)0x3a1e9999, (q31_t)0x3a0833fc, (q31_t)0x39f1cc21, (q31_t)0x39db620b, (q31_t)0x39c4f5ba, + (q31_t)0x39ae872f, (q31_t)0x3998166a, + (q31_t)0x3981a36d, (q31_t)0x396b2e38, (q31_t)0x3954b6cd, (q31_t)0x393e3d2c, (q31_t)0x3927c155, (q31_t)0x3911434b, + (q31_t)0x38fac30e, (q31_t)0x38e4409e, + (q31_t)0x38cdbbfc, (q31_t)0x38b7352a, (q31_t)0x38a0ac29, (q31_t)0x388a20f8, (q31_t)0x38739399, (q31_t)0x385d040d, + (q31_t)0x38467255, (q31_t)0x382fde72, + (q31_t)0x38194864, (q31_t)0x3802b02c, (q31_t)0x37ec15cb, (q31_t)0x37d57943, (q31_t)0x37beda93, (q31_t)0x37a839be, + (q31_t)0x379196c3, (q31_t)0x377af1a3, + (q31_t)0x37644a60, (q31_t)0x374da0fa, (q31_t)0x3736f573, (q31_t)0x372047ca, (q31_t)0x37099802, (q31_t)0x36f2e61a, + (q31_t)0x36dc3214, (q31_t)0x36c57bf0, + (q31_t)0x36aec3b0, (q31_t)0x36980954, (q31_t)0x36814cde, (q31_t)0x366a8e4d, (q31_t)0x3653cda3, (q31_t)0x363d0ae2, + (q31_t)0x36264609, (q31_t)0x360f7f19, + (q31_t)0x35f8b614, (q31_t)0x35e1eafa, (q31_t)0x35cb1dcc, (q31_t)0x35b44e8c, (q31_t)0x359d7d39, (q31_t)0x3586a9d5, + (q31_t)0x356fd461, (q31_t)0x3558fcde, + (q31_t)0x3542234c, (q31_t)0x352b47ad, (q31_t)0x35146a00, (q31_t)0x34fd8a48, (q31_t)0x34e6a885, (q31_t)0x34cfc4b7, + (q31_t)0x34b8dee1, (q31_t)0x34a1f702, + (q31_t)0x348b0d1c, (q31_t)0x3474212f, (q31_t)0x345d333c, (q31_t)0x34464345, (q31_t)0x342f5149, (q31_t)0x34185d4b, + (q31_t)0x3401674a, (q31_t)0x33ea6f48, + (q31_t)0x33d37546, (q31_t)0x33bc7944, (q31_t)0x33a57b44, (q31_t)0x338e7b46, (q31_t)0x3377794b, (q31_t)0x33607554, + (q31_t)0x33496f62, (q31_t)0x33326776, + (q31_t)0x331b5d91, (q31_t)0x330451b3, (q31_t)0x32ed43de, (q31_t)0x32d63412, (q31_t)0x32bf2250, (q31_t)0x32a80e99, + (q31_t)0x3290f8ef, (q31_t)0x3279e151, + (q31_t)0x3262c7c1, (q31_t)0x324bac40, (q31_t)0x32348ecf, (q31_t)0x321d6f6e, (q31_t)0x32064e1e, (q31_t)0x31ef2ae1, + (q31_t)0x31d805b7, (q31_t)0x31c0dea1, + (q31_t)0x31a9b5a0, (q31_t)0x31928ab4, (q31_t)0x317b5de0, (q31_t)0x31642f23, (q31_t)0x314cfe7f, (q31_t)0x3135cbf4, + (q31_t)0x311e9783, (q31_t)0x3107612e, + (q31_t)0x30f028f4, (q31_t)0x30d8eed8, (q31_t)0x30c1b2da, (q31_t)0x30aa74fa, (q31_t)0x3093353a, (q31_t)0x307bf39b, + (q31_t)0x3064b01d, (q31_t)0x304d6ac1, + (q31_t)0x30362389, (q31_t)0x301eda75, (q31_t)0x30078f86, (q31_t)0x2ff042bd, (q31_t)0x2fd8f41b, (q31_t)0x2fc1a3a0, + (q31_t)0x2faa514f, (q31_t)0x2f92fd26, + (q31_t)0x2f7ba729, (q31_t)0x2f644f56, (q31_t)0x2f4cf5b0, (q31_t)0x2f359a37, (q31_t)0x2f1e3ced, (q31_t)0x2f06ddd1, + (q31_t)0x2eef7ce5, (q31_t)0x2ed81a29, + (q31_t)0x2ec0b5a0, (q31_t)0x2ea94f49, (q31_t)0x2e91e725, (q31_t)0x2e7a7d36, (q31_t)0x2e63117c, (q31_t)0x2e4ba3f8, + (q31_t)0x2e3434ac, (q31_t)0x2e1cc397, + (q31_t)0x2e0550bb, (q31_t)0x2deddc19, (q31_t)0x2dd665b2, (q31_t)0x2dbeed86, (q31_t)0x2da77397, (q31_t)0x2d8ff7e5, + (q31_t)0x2d787a72, (q31_t)0x2d60fb3e, + (q31_t)0x2d497a4a, (q31_t)0x2d31f797, (q31_t)0x2d1a7325, (q31_t)0x2d02ecf7, (q31_t)0x2ceb650d, (q31_t)0x2cd3db67, + (q31_t)0x2cbc5006, (q31_t)0x2ca4c2ed, + (q31_t)0x2c8d341a, (q31_t)0x2c75a390, (q31_t)0x2c5e114f, (q31_t)0x2c467d58, (q31_t)0x2c2ee7ad, (q31_t)0x2c17504d, + (q31_t)0x2bffb73a, (q31_t)0x2be81c74, + (q31_t)0x2bd07ffe, (q31_t)0x2bb8e1d7, (q31_t)0x2ba14200, (q31_t)0x2b89a07b, (q31_t)0x2b71fd48, (q31_t)0x2b5a5868, + (q31_t)0x2b42b1dd, (q31_t)0x2b2b09a6, + (q31_t)0x2b135fc6, (q31_t)0x2afbb43c, (q31_t)0x2ae4070a, (q31_t)0x2acc5831, (q31_t)0x2ab4a7b1, (q31_t)0x2a9cf58c, + (q31_t)0x2a8541c3, (q31_t)0x2a6d8c55, + (q31_t)0x2a55d545, (q31_t)0x2a3e1c93, (q31_t)0x2a266240, (q31_t)0x2a0ea64d, (q31_t)0x29f6e8bb, (q31_t)0x29df298b, + (q31_t)0x29c768be, (q31_t)0x29afa654, + (q31_t)0x2997e24f, (q31_t)0x29801caf, (q31_t)0x29685576, (q31_t)0x29508ca4, (q31_t)0x2938c23a, (q31_t)0x2920f63a, + (q31_t)0x290928a3, (q31_t)0x28f15978, + (q31_t)0x28d988b8, (q31_t)0x28c1b666, (q31_t)0x28a9e281, (q31_t)0x28920d0a, (q31_t)0x287a3604, (q31_t)0x28625d6d, + (q31_t)0x284a8349, (q31_t)0x2832a796, + (q31_t)0x281aca57, (q31_t)0x2802eb8c, (q31_t)0x27eb0b36, (q31_t)0x27d32956, (q31_t)0x27bb45ed, (q31_t)0x27a360fc, + (q31_t)0x278b7a84, (q31_t)0x27739285, + (q31_t)0x275ba901, (q31_t)0x2743bdf9, (q31_t)0x272bd16d, (q31_t)0x2713e35f, (q31_t)0x26fbf3ce, (q31_t)0x26e402bd, + (q31_t)0x26cc102d, (q31_t)0x26b41c1d, + (q31_t)0x269c268f, (q31_t)0x26842f84, (q31_t)0x266c36fe, (q31_t)0x26543cfb, (q31_t)0x263c417f, (q31_t)0x26244489, + (q31_t)0x260c461b, (q31_t)0x25f44635, + (q31_t)0x25dc44d9, (q31_t)0x25c44207, (q31_t)0x25ac3dc0, (q31_t)0x25943806, (q31_t)0x257c30d8, (q31_t)0x25642839, + (q31_t)0x254c1e28, (q31_t)0x253412a8, + (q31_t)0x251c05b8, (q31_t)0x2503f75a, (q31_t)0x24ebe78f, (q31_t)0x24d3d657, (q31_t)0x24bbc3b4, (q31_t)0x24a3afa6, + (q31_t)0x248b9a2f, (q31_t)0x2473834f, + (q31_t)0x245b6b07, (q31_t)0x24435158, (q31_t)0x242b3644, (q31_t)0x241319ca, (q31_t)0x23fafbec, (q31_t)0x23e2dcac, + (q31_t)0x23cabc09, (q31_t)0x23b29a05, + (q31_t)0x239a76a0, (q31_t)0x238251dd, (q31_t)0x236a2bba, (q31_t)0x2352043b, (q31_t)0x2339db5e, (q31_t)0x2321b126, + (q31_t)0x23098593, (q31_t)0x22f158a7, + (q31_t)0x22d92a61, (q31_t)0x22c0fac4, (q31_t)0x22a8c9cf, (q31_t)0x22909785, (q31_t)0x227863e5, (q31_t)0x22602ef1, + (q31_t)0x2247f8aa, (q31_t)0x222fc111, + (q31_t)0x22178826, (q31_t)0x21ff4dea, (q31_t)0x21e71260, (q31_t)0x21ced586, (q31_t)0x21b6975f, (q31_t)0x219e57eb, + (q31_t)0x2186172b, (q31_t)0x216dd521, + (q31_t)0x215591cc, (q31_t)0x213d4d2f, (q31_t)0x21250749, (q31_t)0x210cc01d, (q31_t)0x20f477aa, (q31_t)0x20dc2df2, + (q31_t)0x20c3e2f5, (q31_t)0x20ab96b5, + (q31_t)0x20934933, (q31_t)0x207afa6f, (q31_t)0x2062aa6b, (q31_t)0x204a5927, (q31_t)0x203206a4, (q31_t)0x2019b2e4, + (q31_t)0x20015de7, (q31_t)0x1fe907ae, + (q31_t)0x1fd0b03a, (q31_t)0x1fb8578b, (q31_t)0x1f9ffda4, (q31_t)0x1f87a285, (q31_t)0x1f6f462f, (q31_t)0x1f56e8a2, + (q31_t)0x1f3e89e0, (q31_t)0x1f2629ea, + (q31_t)0x1f0dc8c0, (q31_t)0x1ef56664, (q31_t)0x1edd02d6, (q31_t)0x1ec49e17, (q31_t)0x1eac3829, (q31_t)0x1e93d10c, + (q31_t)0x1e7b68c2, (q31_t)0x1e62ff4a, + (q31_t)0x1e4a94a7, (q31_t)0x1e3228d9, (q31_t)0x1e19bbe0, (q31_t)0x1e014dbf, (q31_t)0x1de8de75, (q31_t)0x1dd06e04, + (q31_t)0x1db7fc6d, (q31_t)0x1d9f89b1, + (q31_t)0x1d8715d0, (q31_t)0x1d6ea0cc, (q31_t)0x1d562aa6, (q31_t)0x1d3db35e, (q31_t)0x1d253af5, (q31_t)0x1d0cc16c, + (q31_t)0x1cf446c5, (q31_t)0x1cdbcb00, + (q31_t)0x1cc34e1f, (q31_t)0x1caad021, (q31_t)0x1c925109, (q31_t)0x1c79d0d6, (q31_t)0x1c614f8b, (q31_t)0x1c48cd27, + (q31_t)0x1c3049ac, (q31_t)0x1c17c51b, + (q31_t)0x1bff3f75, (q31_t)0x1be6b8ba, (q31_t)0x1bce30ec, (q31_t)0x1bb5a80c, (q31_t)0x1b9d1e1a, (q31_t)0x1b849317, + (q31_t)0x1b6c0705, (q31_t)0x1b5379e5, + (q31_t)0x1b3aebb6, (q31_t)0x1b225c7b, (q31_t)0x1b09cc34, (q31_t)0x1af13ae3, (q31_t)0x1ad8a887, (q31_t)0x1ac01522, + (q31_t)0x1aa780b6, (q31_t)0x1a8eeb42, + (q31_t)0x1a7654c8, (q31_t)0x1a5dbd49, (q31_t)0x1a4524c6, (q31_t)0x1a2c8b3f, (q31_t)0x1a13f0b6, (q31_t)0x19fb552c, + (q31_t)0x19e2b8a2, (q31_t)0x19ca1b17, + (q31_t)0x19b17c8f, (q31_t)0x1998dd09, (q31_t)0x19803c86, (q31_t)0x19679b07, (q31_t)0x194ef88e, (q31_t)0x1936551b, + (q31_t)0x191db0af, (q31_t)0x19050b4b, + (q31_t)0x18ec64f0, (q31_t)0x18d3bda0, (q31_t)0x18bb155a, (q31_t)0x18a26c20, (q31_t)0x1889c1f3, (q31_t)0x187116d4, + (q31_t)0x18586ac3, (q31_t)0x183fbdc3, + (q31_t)0x18270fd3, (q31_t)0x180e60f4, (q31_t)0x17f5b129, (q31_t)0x17dd0070, (q31_t)0x17c44ecd, (q31_t)0x17ab9c3e, + (q31_t)0x1792e8c6, (q31_t)0x177a3466, + (q31_t)0x17617f1d, (q31_t)0x1748c8ee, (q31_t)0x173011d9, (q31_t)0x171759df, (q31_t)0x16fea102, (q31_t)0x16e5e741, + (q31_t)0x16cd2c9f, (q31_t)0x16b4711b, + (q31_t)0x169bb4b7, (q31_t)0x1682f774, (q31_t)0x166a3953, (q31_t)0x16517a55, (q31_t)0x1638ba7a, (q31_t)0x161ff9c4, + (q31_t)0x16073834, (q31_t)0x15ee75cb, + (q31_t)0x15d5b288, (q31_t)0x15bcee6f, (q31_t)0x15a4297f, (q31_t)0x158b63b9, (q31_t)0x15729d1f, (q31_t)0x1559d5b1, + (q31_t)0x15410d70, (q31_t)0x1528445d, + (q31_t)0x150f7a7a, (q31_t)0x14f6afc7, (q31_t)0x14dde445, (q31_t)0x14c517f4, (q31_t)0x14ac4ad7, (q31_t)0x14937cee, + (q31_t)0x147aae3a, (q31_t)0x1461debc, + (q31_t)0x14490e74, (q31_t)0x14303d65, (q31_t)0x14176b8e, (q31_t)0x13fe98f1, (q31_t)0x13e5c58e, (q31_t)0x13ccf167, + (q31_t)0x13b41c7d, (q31_t)0x139b46d0, + (q31_t)0x13827062, (q31_t)0x13699933, (q31_t)0x1350c144, (q31_t)0x1337e897, (q31_t)0x131f0f2c, (q31_t)0x13063505, + (q31_t)0x12ed5a21, (q31_t)0x12d47e83, + (q31_t)0x12bba22b, (q31_t)0x12a2c51b, (q31_t)0x1289e752, (q31_t)0x127108d2, (q31_t)0x1258299c, (q31_t)0x123f49b2, + (q31_t)0x12266913, (q31_t)0x120d87c1, + (q31_t)0x11f4a5bd, (q31_t)0x11dbc307, (q31_t)0x11c2dfa2, (q31_t)0x11a9fb8d, (q31_t)0x119116c9, (q31_t)0x11783159, + (q31_t)0x115f4b3c, (q31_t)0x11466473, + (q31_t)0x112d7d00, (q31_t)0x111494e4, (q31_t)0x10fbac1e, (q31_t)0x10e2c2b2, (q31_t)0x10c9d89e, (q31_t)0x10b0ede5, + (q31_t)0x10980287, (q31_t)0x107f1686, + (q31_t)0x106629e1, (q31_t)0x104d3c9b, (q31_t)0x10344eb4, (q31_t)0x101b602d, (q31_t)0x10027107, (q31_t)0xfe98143, + (q31_t)0xfd090e1, (q31_t)0xfb79fe4, + (q31_t)0xf9eae4c, (q31_t)0xf85bc19, (q31_t)0xf6cc94e, (q31_t)0xf53d5ea, (q31_t)0xf3ae1ee, (q31_t)0xf21ed5d, (q31_t)0xf08f836, + (q31_t)0xef0027b, + (q31_t)0xed70c2c, (q31_t)0xebe154b, (q31_t)0xea51dd8, (q31_t)0xe8c25d5, (q31_t)0xe732d42, (q31_t)0xe5a3421, (q31_t)0xe413a72, + (q31_t)0xe284036, + (q31_t)0xe0f456f, (q31_t)0xdf64a1c, (q31_t)0xddd4e40, (q31_t)0xdc451dc, (q31_t)0xdab54ef, (q31_t)0xd92577b, (q31_t)0xd795982, + (q31_t)0xd605b03, + (q31_t)0xd475c00, (q31_t)0xd2e5c7b, (q31_t)0xd155c73, (q31_t)0xcfc5bea, (q31_t)0xce35ae1, (q31_t)0xcca5959, (q31_t)0xcb15752, + (q31_t)0xc9854cf, + (q31_t)0xc7f51cf, (q31_t)0xc664e53, (q31_t)0xc4d4a5d, (q31_t)0xc3445ee, (q31_t)0xc1b4107, (q31_t)0xc023ba7, (q31_t)0xbe935d2, + (q31_t)0xbd02f87, + (q31_t)0xbb728c7, (q31_t)0xb9e2193, (q31_t)0xb8519ed, (q31_t)0xb6c11d5, (q31_t)0xb53094d, (q31_t)0xb3a0055, (q31_t)0xb20f6ee, + (q31_t)0xb07ed19, + (q31_t)0xaeee2d7, (q31_t)0xad5d829, (q31_t)0xabccd11, (q31_t)0xaa3c18e, (q31_t)0xa8ab5a2, (q31_t)0xa71a94f, (q31_t)0xa589c94, + (q31_t)0xa3f8f73, + (q31_t)0xa2681ed, (q31_t)0xa0d7403, (q31_t)0x9f465b5, (q31_t)0x9db5706, (q31_t)0x9c247f5, (q31_t)0x9a93884, (q31_t)0x99028b3, + (q31_t)0x9771884, + (q31_t)0x95e07f8, (q31_t)0x944f70f, (q31_t)0x92be5ca, (q31_t)0x912d42c, (q31_t)0x8f9c233, (q31_t)0x8e0afe2, (q31_t)0x8c79d3a, + (q31_t)0x8ae8a3a, + (q31_t)0x89576e5, (q31_t)0x87c633c, (q31_t)0x8634f3e, (q31_t)0x84a3aee, (q31_t)0x831264c, (q31_t)0x8181159, (q31_t)0x7fefc16, + (q31_t)0x7e5e685, + (q31_t)0x7ccd0a5, (q31_t)0x7b3ba78, (q31_t)0x79aa400, (q31_t)0x7818d3c, (q31_t)0x768762e, (q31_t)0x74f5ed7, (q31_t)0x7364738, + (q31_t)0x71d2f52, + (q31_t)0x7041726, (q31_t)0x6eafeb4, (q31_t)0x6d1e5fe, (q31_t)0x6b8cd05, (q31_t)0x69fb3c9, (q31_t)0x6869a4c, (q31_t)0x66d808f, + (q31_t)0x6546692, + (q31_t)0x63b4c57, (q31_t)0x62231de, (q31_t)0x6091729, (q31_t)0x5effc38, (q31_t)0x5d6e10c, (q31_t)0x5bdc5a7, (q31_t)0x5a4aa09, + (q31_t)0x58b8e34, + (q31_t)0x5727228, (q31_t)0x55955e6, (q31_t)0x540396f, (q31_t)0x5271cc4, (q31_t)0x50dffe7, (q31_t)0x4f4e2d8, (q31_t)0x4dbc597, + (q31_t)0x4c2a827, + (q31_t)0x4a98a88, (q31_t)0x4906cbb, (q31_t)0x4774ec1, (q31_t)0x45e309a, (q31_t)0x4451249, (q31_t)0x42bf3cd, (q31_t)0x412d528, + (q31_t)0x3f9b65b, + (q31_t)0x3e09767, (q31_t)0x3c7784d, (q31_t)0x3ae590d, (q31_t)0x39539a9, (q31_t)0x37c1a22, (q31_t)0x362fa78, (q31_t)0x349daac, + (q31_t)0x330bac1, + (q31_t)0x3179ab5, (q31_t)0x2fe7a8c, (q31_t)0x2e55a44, (q31_t)0x2cc39e1, (q31_t)0x2b31961, (q31_t)0x299f8c7, (q31_t)0x280d813, + (q31_t)0x267b747, + (q31_t)0x24e9662, (q31_t)0x2357567, (q31_t)0x21c5457, (q31_t)0x2033331, (q31_t)0x1ea11f7, (q31_t)0x1d0f0ab, (q31_t)0x1b7cf4d, + (q31_t)0x19eaddd, + (q31_t)0x1858c5e, (q31_t)0x16c6ad0, (q31_t)0x1534934, (q31_t)0x13a278a, (q31_t)0x12105d5, (q31_t)0x107e414, (q31_t)0xeec249, + (q31_t)0xd5a075, + (q31_t)0xbc7e99, (q31_t)0xa35cb5, (q31_t)0x8a3acb, (q31_t)0x7118dc, (q31_t)0x57f6e9, (q31_t)0x3ed4f2, (q31_t)0x25b2f8, + (q31_t)0xc90fe +}; + +static const q31_t cos_factorsQ31_8192[8192] = { + (q31_t)0x7ffffff6, (q31_t)0x7fffffa7, (q31_t)0x7fffff09, (q31_t)0x7ffffe1c, (q31_t)0x7ffffce1, (q31_t)0x7ffffb56, + (q31_t)0x7ffff97c, (q31_t)0x7ffff753, + (q31_t)0x7ffff4dc, (q31_t)0x7ffff215, (q31_t)0x7fffef00, (q31_t)0x7fffeb9b, (q31_t)0x7fffe7e8, (q31_t)0x7fffe3e5, + (q31_t)0x7fffdf94, (q31_t)0x7fffdaf3, + (q31_t)0x7fffd604, (q31_t)0x7fffd0c6, (q31_t)0x7fffcb39, (q31_t)0x7fffc55c, (q31_t)0x7fffbf31, (q31_t)0x7fffb8b7, + (q31_t)0x7fffb1ee, (q31_t)0x7fffaad6, + (q31_t)0x7fffa36f, (q31_t)0x7fff9bb9, (q31_t)0x7fff93b4, (q31_t)0x7fff8b61, (q31_t)0x7fff82be, (q31_t)0x7fff79cc, + (q31_t)0x7fff708b, (q31_t)0x7fff66fc, + (q31_t)0x7fff5d1d, (q31_t)0x7fff52ef, (q31_t)0x7fff4873, (q31_t)0x7fff3da8, (q31_t)0x7fff328d, (q31_t)0x7fff2724, + (q31_t)0x7fff1b6b, (q31_t)0x7fff0f64, + (q31_t)0x7fff030e, (q31_t)0x7ffef669, (q31_t)0x7ffee975, (q31_t)0x7ffedc31, (q31_t)0x7ffece9f, (q31_t)0x7ffec0be, + (q31_t)0x7ffeb28e, (q31_t)0x7ffea40f, + (q31_t)0x7ffe9542, (q31_t)0x7ffe8625, (q31_t)0x7ffe76b9, (q31_t)0x7ffe66fe, (q31_t)0x7ffe56f5, (q31_t)0x7ffe469c, + (q31_t)0x7ffe35f4, (q31_t)0x7ffe24fe, + (q31_t)0x7ffe13b8, (q31_t)0x7ffe0224, (q31_t)0x7ffdf040, (q31_t)0x7ffdde0e, (q31_t)0x7ffdcb8d, (q31_t)0x7ffdb8bc, + (q31_t)0x7ffda59d, (q31_t)0x7ffd922f, + (q31_t)0x7ffd7e72, (q31_t)0x7ffd6a66, (q31_t)0x7ffd560b, (q31_t)0x7ffd4161, (q31_t)0x7ffd2c68, (q31_t)0x7ffd1720, + (q31_t)0x7ffd0189, (q31_t)0x7ffceba4, + (q31_t)0x7ffcd56f, (q31_t)0x7ffcbeeb, (q31_t)0x7ffca819, (q31_t)0x7ffc90f7, (q31_t)0x7ffc7987, (q31_t)0x7ffc61c7, + (q31_t)0x7ffc49b9, (q31_t)0x7ffc315b, + (q31_t)0x7ffc18af, (q31_t)0x7ffbffb4, (q31_t)0x7ffbe66a, (q31_t)0x7ffbccd0, (q31_t)0x7ffbb2e8, (q31_t)0x7ffb98b1, + (q31_t)0x7ffb7e2b, (q31_t)0x7ffb6356, + (q31_t)0x7ffb4833, (q31_t)0x7ffb2cc0, (q31_t)0x7ffb10fe, (q31_t)0x7ffaf4ed, (q31_t)0x7ffad88e, (q31_t)0x7ffabbdf, + (q31_t)0x7ffa9ee2, (q31_t)0x7ffa8195, + (q31_t)0x7ffa63fa, (q31_t)0x7ffa460f, (q31_t)0x7ffa27d6, (q31_t)0x7ffa094e, (q31_t)0x7ff9ea76, (q31_t)0x7ff9cb50, + (q31_t)0x7ff9abdb, (q31_t)0x7ff98c17, + (q31_t)0x7ff96c04, (q31_t)0x7ff94ba2, (q31_t)0x7ff92af1, (q31_t)0x7ff909f2, (q31_t)0x7ff8e8a3, (q31_t)0x7ff8c705, + (q31_t)0x7ff8a519, (q31_t)0x7ff882dd, + (q31_t)0x7ff86053, (q31_t)0x7ff83d79, (q31_t)0x7ff81a51, (q31_t)0x7ff7f6da, (q31_t)0x7ff7d313, (q31_t)0x7ff7aefe, + (q31_t)0x7ff78a9a, (q31_t)0x7ff765e7, + (q31_t)0x7ff740e5, (q31_t)0x7ff71b94, (q31_t)0x7ff6f5f4, (q31_t)0x7ff6d005, (q31_t)0x7ff6a9c8, (q31_t)0x7ff6833b, + (q31_t)0x7ff65c5f, (q31_t)0x7ff63535, + (q31_t)0x7ff60dbb, (q31_t)0x7ff5e5f3, (q31_t)0x7ff5bddc, (q31_t)0x7ff59576, (q31_t)0x7ff56cc0, (q31_t)0x7ff543bc, + (q31_t)0x7ff51a69, (q31_t)0x7ff4f0c7, + (q31_t)0x7ff4c6d6, (q31_t)0x7ff49c96, (q31_t)0x7ff47208, (q31_t)0x7ff4472a, (q31_t)0x7ff41bfd, (q31_t)0x7ff3f082, + (q31_t)0x7ff3c4b7, (q31_t)0x7ff3989e, + (q31_t)0x7ff36c36, (q31_t)0x7ff33f7e, (q31_t)0x7ff31278, (q31_t)0x7ff2e523, (q31_t)0x7ff2b77f, (q31_t)0x7ff2898c, + (q31_t)0x7ff25b4a, (q31_t)0x7ff22cb9, + (q31_t)0x7ff1fdd9, (q31_t)0x7ff1ceab, (q31_t)0x7ff19f2d, (q31_t)0x7ff16f61, (q31_t)0x7ff13f45, (q31_t)0x7ff10edb, + (q31_t)0x7ff0de22, (q31_t)0x7ff0ad19, + (q31_t)0x7ff07bc2, (q31_t)0x7ff04a1c, (q31_t)0x7ff01827, (q31_t)0x7fefe5e4, (q31_t)0x7fefb351, (q31_t)0x7fef806f, + (q31_t)0x7fef4d3e, (q31_t)0x7fef19bf, + (q31_t)0x7feee5f0, (q31_t)0x7feeb1d3, (q31_t)0x7fee7d67, (q31_t)0x7fee48ac, (q31_t)0x7fee13a1, (q31_t)0x7fedde48, + (q31_t)0x7feda8a0, (q31_t)0x7fed72aa, + (q31_t)0x7fed3c64, (q31_t)0x7fed05cf, (q31_t)0x7fecceec, (q31_t)0x7fec97b9, (q31_t)0x7fec6038, (q31_t)0x7fec2867, + (q31_t)0x7febf048, (q31_t)0x7febb7da, + (q31_t)0x7feb7f1d, (q31_t)0x7feb4611, (q31_t)0x7feb0cb6, (q31_t)0x7fead30c, (q31_t)0x7fea9914, (q31_t)0x7fea5ecc, + (q31_t)0x7fea2436, (q31_t)0x7fe9e950, + (q31_t)0x7fe9ae1c, (q31_t)0x7fe97299, (q31_t)0x7fe936c7, (q31_t)0x7fe8faa6, (q31_t)0x7fe8be36, (q31_t)0x7fe88177, + (q31_t)0x7fe84469, (q31_t)0x7fe8070d, + (q31_t)0x7fe7c961, (q31_t)0x7fe78b67, (q31_t)0x7fe74d1e, (q31_t)0x7fe70e85, (q31_t)0x7fe6cf9e, (q31_t)0x7fe69068, + (q31_t)0x7fe650e3, (q31_t)0x7fe61110, + (q31_t)0x7fe5d0ed, (q31_t)0x7fe5907b, (q31_t)0x7fe54fbb, (q31_t)0x7fe50eac, (q31_t)0x7fe4cd4d, (q31_t)0x7fe48ba0, + (q31_t)0x7fe449a4, (q31_t)0x7fe40759, + (q31_t)0x7fe3c4bf, (q31_t)0x7fe381d7, (q31_t)0x7fe33e9f, (q31_t)0x7fe2fb19, (q31_t)0x7fe2b743, (q31_t)0x7fe2731f, + (q31_t)0x7fe22eac, (q31_t)0x7fe1e9ea, + (q31_t)0x7fe1a4d9, (q31_t)0x7fe15f79, (q31_t)0x7fe119cb, (q31_t)0x7fe0d3cd, (q31_t)0x7fe08d81, (q31_t)0x7fe046e5, + (q31_t)0x7fdffffb, (q31_t)0x7fdfb8c2, + (q31_t)0x7fdf713a, (q31_t)0x7fdf2963, (q31_t)0x7fdee13e, (q31_t)0x7fde98c9, (q31_t)0x7fde5006, (q31_t)0x7fde06f3, + (q31_t)0x7fddbd92, (q31_t)0x7fdd73e2, + (q31_t)0x7fdd29e3, (q31_t)0x7fdcdf95, (q31_t)0x7fdc94f9, (q31_t)0x7fdc4a0d, (q31_t)0x7fdbfed3, (q31_t)0x7fdbb349, + (q31_t)0x7fdb6771, (q31_t)0x7fdb1b4a, + (q31_t)0x7fdaced4, (q31_t)0x7fda820f, (q31_t)0x7fda34fc, (q31_t)0x7fd9e799, (q31_t)0x7fd999e8, (q31_t)0x7fd94be8, + (q31_t)0x7fd8fd98, (q31_t)0x7fd8aefa, + (q31_t)0x7fd8600e, (q31_t)0x7fd810d2, (q31_t)0x7fd7c147, (q31_t)0x7fd7716e, (q31_t)0x7fd72146, (q31_t)0x7fd6d0cf, + (q31_t)0x7fd68009, (q31_t)0x7fd62ef4, + (q31_t)0x7fd5dd90, (q31_t)0x7fd58bdd, (q31_t)0x7fd539dc, (q31_t)0x7fd4e78c, (q31_t)0x7fd494ed, (q31_t)0x7fd441ff, + (q31_t)0x7fd3eec2, (q31_t)0x7fd39b36, + (q31_t)0x7fd3475c, (q31_t)0x7fd2f332, (q31_t)0x7fd29eba, (q31_t)0x7fd249f3, (q31_t)0x7fd1f4dd, (q31_t)0x7fd19f78, + (q31_t)0x7fd149c5, (q31_t)0x7fd0f3c2, + (q31_t)0x7fd09d71, (q31_t)0x7fd046d1, (q31_t)0x7fcfefe2, (q31_t)0x7fcf98a4, (q31_t)0x7fcf4117, (q31_t)0x7fcee93c, + (q31_t)0x7fce9112, (q31_t)0x7fce3898, + (q31_t)0x7fcddfd0, (q31_t)0x7fcd86b9, (q31_t)0x7fcd2d54, (q31_t)0x7fccd39f, (q31_t)0x7fcc799c, (q31_t)0x7fcc1f4a, + (q31_t)0x7fcbc4a9, (q31_t)0x7fcb69b9, + (q31_t)0x7fcb0e7a, (q31_t)0x7fcab2ed, (q31_t)0x7fca5710, (q31_t)0x7fc9fae5, (q31_t)0x7fc99e6b, (q31_t)0x7fc941a2, + (q31_t)0x7fc8e48b, (q31_t)0x7fc88724, + (q31_t)0x7fc8296f, (q31_t)0x7fc7cb6b, (q31_t)0x7fc76d18, (q31_t)0x7fc70e76, (q31_t)0x7fc6af86, (q31_t)0x7fc65046, + (q31_t)0x7fc5f0b8, (q31_t)0x7fc590db, + (q31_t)0x7fc530af, (q31_t)0x7fc4d035, (q31_t)0x7fc46f6b, (q31_t)0x7fc40e53, (q31_t)0x7fc3acec, (q31_t)0x7fc34b36, + (q31_t)0x7fc2e931, (q31_t)0x7fc286de, + (q31_t)0x7fc2243b, (q31_t)0x7fc1c14a, (q31_t)0x7fc15e0a, (q31_t)0x7fc0fa7b, (q31_t)0x7fc0969e, (q31_t)0x7fc03271, + (q31_t)0x7fbfcdf6, (q31_t)0x7fbf692c, + (q31_t)0x7fbf0414, (q31_t)0x7fbe9eac, (q31_t)0x7fbe38f6, (q31_t)0x7fbdd2f0, (q31_t)0x7fbd6c9c, (q31_t)0x7fbd05fa, + (q31_t)0x7fbc9f08, (q31_t)0x7fbc37c8, + (q31_t)0x7fbbd039, (q31_t)0x7fbb685b, (q31_t)0x7fbb002e, (q31_t)0x7fba97b2, (q31_t)0x7fba2ee8, (q31_t)0x7fb9c5cf, + (q31_t)0x7fb95c67, (q31_t)0x7fb8f2b0, + (q31_t)0x7fb888ab, (q31_t)0x7fb81e57, (q31_t)0x7fb7b3b4, (q31_t)0x7fb748c2, (q31_t)0x7fb6dd81, (q31_t)0x7fb671f2, + (q31_t)0x7fb60614, (q31_t)0x7fb599e7, + (q31_t)0x7fb52d6b, (q31_t)0x7fb4c0a1, (q31_t)0x7fb45387, (q31_t)0x7fb3e61f, (q31_t)0x7fb37869, (q31_t)0x7fb30a63, + (q31_t)0x7fb29c0f, (q31_t)0x7fb22d6c, + (q31_t)0x7fb1be7a, (q31_t)0x7fb14f39, (q31_t)0x7fb0dfaa, (q31_t)0x7fb06fcb, (q31_t)0x7fafff9e, (q31_t)0x7faf8f23, + (q31_t)0x7faf1e58, (q31_t)0x7faead3f, + (q31_t)0x7fae3bd7, (q31_t)0x7fadca20, (q31_t)0x7fad581b, (q31_t)0x7face5c6, (q31_t)0x7fac7323, (q31_t)0x7fac0031, + (q31_t)0x7fab8cf1, (q31_t)0x7fab1962, + (q31_t)0x7faaa584, (q31_t)0x7faa3157, (q31_t)0x7fa9bcdb, (q31_t)0x7fa94811, (q31_t)0x7fa8d2f8, (q31_t)0x7fa85d90, + (q31_t)0x7fa7e7d9, (q31_t)0x7fa771d4, + (q31_t)0x7fa6fb80, (q31_t)0x7fa684dd, (q31_t)0x7fa60dec, (q31_t)0x7fa596ac, (q31_t)0x7fa51f1d, (q31_t)0x7fa4a73f, + (q31_t)0x7fa42f12, (q31_t)0x7fa3b697, + (q31_t)0x7fa33dcd, (q31_t)0x7fa2c4b5, (q31_t)0x7fa24b4d, (q31_t)0x7fa1d197, (q31_t)0x7fa15792, (q31_t)0x7fa0dd3f, + (q31_t)0x7fa0629c, (q31_t)0x7f9fe7ab, + (q31_t)0x7f9f6c6b, (q31_t)0x7f9ef0dd, (q31_t)0x7f9e7500, (q31_t)0x7f9df8d4, (q31_t)0x7f9d7c59, (q31_t)0x7f9cff90, + (q31_t)0x7f9c8278, (q31_t)0x7f9c0511, + (q31_t)0x7f9b875b, (q31_t)0x7f9b0957, (q31_t)0x7f9a8b04, (q31_t)0x7f9a0c62, (q31_t)0x7f998d72, (q31_t)0x7f990e33, + (q31_t)0x7f988ea5, (q31_t)0x7f980ec8, + (q31_t)0x7f978e9d, (q31_t)0x7f970e23, (q31_t)0x7f968d5b, (q31_t)0x7f960c43, (q31_t)0x7f958add, (q31_t)0x7f950929, + (q31_t)0x7f948725, (q31_t)0x7f9404d3, + (q31_t)0x7f938232, (q31_t)0x7f92ff43, (q31_t)0x7f927c04, (q31_t)0x7f91f878, (q31_t)0x7f91749c, (q31_t)0x7f90f072, + (q31_t)0x7f906bf9, (q31_t)0x7f8fe731, + (q31_t)0x7f8f621b, (q31_t)0x7f8edcb6, (q31_t)0x7f8e5702, (q31_t)0x7f8dd0ff, (q31_t)0x7f8d4aae, (q31_t)0x7f8cc40f, + (q31_t)0x7f8c3d20, (q31_t)0x7f8bb5e3, + (q31_t)0x7f8b2e57, (q31_t)0x7f8aa67d, (q31_t)0x7f8a1e54, (q31_t)0x7f8995dc, (q31_t)0x7f890d15, (q31_t)0x7f888400, + (q31_t)0x7f87fa9c, (q31_t)0x7f8770ea, + (q31_t)0x7f86e6e9, (q31_t)0x7f865c99, (q31_t)0x7f85d1fa, (q31_t)0x7f85470d, (q31_t)0x7f84bbd1, (q31_t)0x7f843047, + (q31_t)0x7f83a46e, (q31_t)0x7f831846, + (q31_t)0x7f828bcf, (q31_t)0x7f81ff0a, (q31_t)0x7f8171f6, (q31_t)0x7f80e494, (q31_t)0x7f8056e3, (q31_t)0x7f7fc8e3, + (q31_t)0x7f7f3a95, (q31_t)0x7f7eabf8, + (q31_t)0x7f7e1d0c, (q31_t)0x7f7d8dd2, (q31_t)0x7f7cfe49, (q31_t)0x7f7c6e71, (q31_t)0x7f7bde4b, (q31_t)0x7f7b4dd6, + (q31_t)0x7f7abd13, (q31_t)0x7f7a2c01, + (q31_t)0x7f799aa0, (q31_t)0x7f7908f0, (q31_t)0x7f7876f2, (q31_t)0x7f77e4a6, (q31_t)0x7f77520a, (q31_t)0x7f76bf21, + (q31_t)0x7f762be8, (q31_t)0x7f759861, + (q31_t)0x7f75048b, (q31_t)0x7f747067, (q31_t)0x7f73dbf4, (q31_t)0x7f734732, (q31_t)0x7f72b222, (q31_t)0x7f721cc3, + (q31_t)0x7f718715, (q31_t)0x7f70f119, + (q31_t)0x7f705ace, (q31_t)0x7f6fc435, (q31_t)0x7f6f2d4d, (q31_t)0x7f6e9617, (q31_t)0x7f6dfe91, (q31_t)0x7f6d66be, + (q31_t)0x7f6cce9b, (q31_t)0x7f6c362a, + (q31_t)0x7f6b9d6b, (q31_t)0x7f6b045d, (q31_t)0x7f6a6b00, (q31_t)0x7f69d154, (q31_t)0x7f69375a, (q31_t)0x7f689d12, + (q31_t)0x7f68027b, (q31_t)0x7f676795, + (q31_t)0x7f66cc61, (q31_t)0x7f6630de, (q31_t)0x7f65950c, (q31_t)0x7f64f8ec, (q31_t)0x7f645c7d, (q31_t)0x7f63bfc0, + (q31_t)0x7f6322b4, (q31_t)0x7f62855a, + (q31_t)0x7f61e7b1, (q31_t)0x7f6149b9, (q31_t)0x7f60ab73, (q31_t)0x7f600cdf, (q31_t)0x7f5f6dfb, (q31_t)0x7f5ecec9, + (q31_t)0x7f5e2f49, (q31_t)0x7f5d8f7a, + (q31_t)0x7f5cef5c, (q31_t)0x7f5c4ef0, (q31_t)0x7f5bae36, (q31_t)0x7f5b0d2c, (q31_t)0x7f5a6bd5, (q31_t)0x7f59ca2e, + (q31_t)0x7f592839, (q31_t)0x7f5885f6, + (q31_t)0x7f57e364, (q31_t)0x7f574083, (q31_t)0x7f569d54, (q31_t)0x7f55f9d6, (q31_t)0x7f55560a, (q31_t)0x7f54b1ef, + (q31_t)0x7f540d86, (q31_t)0x7f5368ce, + (q31_t)0x7f52c3c8, (q31_t)0x7f521e73, (q31_t)0x7f5178cf, (q31_t)0x7f50d2dd, (q31_t)0x7f502c9d, (q31_t)0x7f4f860e, + (q31_t)0x7f4edf30, (q31_t)0x7f4e3804, + (q31_t)0x7f4d9089, (q31_t)0x7f4ce8c0, (q31_t)0x7f4c40a8, (q31_t)0x7f4b9842, (q31_t)0x7f4aef8d, (q31_t)0x7f4a468a, + (q31_t)0x7f499d38, (q31_t)0x7f48f398, + (q31_t)0x7f4849a9, (q31_t)0x7f479f6c, (q31_t)0x7f46f4e0, (q31_t)0x7f464a06, (q31_t)0x7f459edd, (q31_t)0x7f44f365, + (q31_t)0x7f44479f, (q31_t)0x7f439b8b, + (q31_t)0x7f42ef28, (q31_t)0x7f424277, (q31_t)0x7f419577, (q31_t)0x7f40e828, (q31_t)0x7f403a8b, (q31_t)0x7f3f8ca0, + (q31_t)0x7f3ede66, (q31_t)0x7f3e2fde, + (q31_t)0x7f3d8107, (q31_t)0x7f3cd1e2, (q31_t)0x7f3c226e, (q31_t)0x7f3b72ab, (q31_t)0x7f3ac29b, (q31_t)0x7f3a123b, + (q31_t)0x7f39618e, (q31_t)0x7f38b091, + (q31_t)0x7f37ff47, (q31_t)0x7f374dad, (q31_t)0x7f369bc6, (q31_t)0x7f35e990, (q31_t)0x7f35370b, (q31_t)0x7f348438, + (q31_t)0x7f33d116, (q31_t)0x7f331da6, + (q31_t)0x7f3269e8, (q31_t)0x7f31b5db, (q31_t)0x7f31017f, (q31_t)0x7f304cd6, (q31_t)0x7f2f97dd, (q31_t)0x7f2ee296, + (q31_t)0x7f2e2d01, (q31_t)0x7f2d771e, + (q31_t)0x7f2cc0eb, (q31_t)0x7f2c0a6b, (q31_t)0x7f2b539c, (q31_t)0x7f2a9c7e, (q31_t)0x7f29e512, (q31_t)0x7f292d58, + (q31_t)0x7f28754f, (q31_t)0x7f27bcf8, + (q31_t)0x7f270452, (q31_t)0x7f264b5e, (q31_t)0x7f25921c, (q31_t)0x7f24d88b, (q31_t)0x7f241eab, (q31_t)0x7f23647e, + (q31_t)0x7f22aa01, (q31_t)0x7f21ef37, + (q31_t)0x7f21341e, (q31_t)0x7f2078b6, (q31_t)0x7f1fbd00, (q31_t)0x7f1f00fc, (q31_t)0x7f1e44a9, (q31_t)0x7f1d8808, + (q31_t)0x7f1ccb18, (q31_t)0x7f1c0dda, + (q31_t)0x7f1b504e, (q31_t)0x7f1a9273, (q31_t)0x7f19d44a, (q31_t)0x7f1915d2, (q31_t)0x7f18570c, (q31_t)0x7f1797f8, + (q31_t)0x7f16d895, (q31_t)0x7f1618e4, + (q31_t)0x7f1558e4, (q31_t)0x7f149896, (q31_t)0x7f13d7fa, (q31_t)0x7f13170f, (q31_t)0x7f1255d6, (q31_t)0x7f11944f, + (q31_t)0x7f10d279, (q31_t)0x7f101054, + (q31_t)0x7f0f4de2, (q31_t)0x7f0e8b21, (q31_t)0x7f0dc811, (q31_t)0x7f0d04b3, (q31_t)0x7f0c4107, (q31_t)0x7f0b7d0d, + (q31_t)0x7f0ab8c4, (q31_t)0x7f09f42d, + (q31_t)0x7f092f47, (q31_t)0x7f086a13, (q31_t)0x7f07a491, (q31_t)0x7f06dec0, (q31_t)0x7f0618a1, (q31_t)0x7f055233, + (q31_t)0x7f048b78, (q31_t)0x7f03c46d, + (q31_t)0x7f02fd15, (q31_t)0x7f02356e, (q31_t)0x7f016d79, (q31_t)0x7f00a535, (q31_t)0x7effdca4, (q31_t)0x7eff13c3, + (q31_t)0x7efe4a95, (q31_t)0x7efd8118, + (q31_t)0x7efcb74d, (q31_t)0x7efbed33, (q31_t)0x7efb22cb, (q31_t)0x7efa5815, (q31_t)0x7ef98d11, (q31_t)0x7ef8c1be, + (q31_t)0x7ef7f61d, (q31_t)0x7ef72a2d, + (q31_t)0x7ef65def, (q31_t)0x7ef59163, (q31_t)0x7ef4c489, (q31_t)0x7ef3f760, (q31_t)0x7ef329e9, (q31_t)0x7ef25c24, + (q31_t)0x7ef18e10, (q31_t)0x7ef0bfae, + (q31_t)0x7eeff0fe, (q31_t)0x7eef21ff, (q31_t)0x7eee52b2, (q31_t)0x7eed8317, (q31_t)0x7eecb32d, (q31_t)0x7eebe2f6, + (q31_t)0x7eeb1270, (q31_t)0x7eea419b, + (q31_t)0x7ee97079, (q31_t)0x7ee89f08, (q31_t)0x7ee7cd49, (q31_t)0x7ee6fb3b, (q31_t)0x7ee628df, (q31_t)0x7ee55635, + (q31_t)0x7ee4833d, (q31_t)0x7ee3aff6, + (q31_t)0x7ee2dc61, (q31_t)0x7ee2087e, (q31_t)0x7ee1344d, (q31_t)0x7ee05fcd, (q31_t)0x7edf8aff, (q31_t)0x7edeb5e3, + (q31_t)0x7edde079, (q31_t)0x7edd0ac0, + (q31_t)0x7edc34b9, (q31_t)0x7edb5e64, (q31_t)0x7eda87c0, (q31_t)0x7ed9b0ce, (q31_t)0x7ed8d98e, (q31_t)0x7ed80200, + (q31_t)0x7ed72a24, (q31_t)0x7ed651f9, + (q31_t)0x7ed57980, (q31_t)0x7ed4a0b9, (q31_t)0x7ed3c7a3, (q31_t)0x7ed2ee40, (q31_t)0x7ed2148e, (q31_t)0x7ed13a8e, + (q31_t)0x7ed0603f, (q31_t)0x7ecf85a3, + (q31_t)0x7eceaab8, (q31_t)0x7ecdcf7f, (q31_t)0x7eccf3f8, (q31_t)0x7ecc1822, (q31_t)0x7ecb3bff, (q31_t)0x7eca5f8d, + (q31_t)0x7ec982cd, (q31_t)0x7ec8a5bf, + (q31_t)0x7ec7c862, (q31_t)0x7ec6eab7, (q31_t)0x7ec60cbe, (q31_t)0x7ec52e77, (q31_t)0x7ec44fe2, (q31_t)0x7ec370fe, + (q31_t)0x7ec291cd, (q31_t)0x7ec1b24d, + (q31_t)0x7ec0d27f, (q31_t)0x7ebff263, (q31_t)0x7ebf11f8, (q31_t)0x7ebe313f, (q31_t)0x7ebd5039, (q31_t)0x7ebc6ee4, + (q31_t)0x7ebb8d40, (q31_t)0x7ebaab4f, + (q31_t)0x7eb9c910, (q31_t)0x7eb8e682, (q31_t)0x7eb803a6, (q31_t)0x7eb7207c, (q31_t)0x7eb63d04, (q31_t)0x7eb5593d, + (q31_t)0x7eb47529, (q31_t)0x7eb390c6, + (q31_t)0x7eb2ac15, (q31_t)0x7eb1c716, (q31_t)0x7eb0e1c9, (q31_t)0x7eaffc2e, (q31_t)0x7eaf1645, (q31_t)0x7eae300d, + (q31_t)0x7ead4987, (q31_t)0x7eac62b3, + (q31_t)0x7eab7b91, (q31_t)0x7eaa9421, (q31_t)0x7ea9ac63, (q31_t)0x7ea8c457, (q31_t)0x7ea7dbfc, (q31_t)0x7ea6f353, + (q31_t)0x7ea60a5d, (q31_t)0x7ea52118, + (q31_t)0x7ea43785, (q31_t)0x7ea34da4, (q31_t)0x7ea26374, (q31_t)0x7ea178f7, (q31_t)0x7ea08e2b, (q31_t)0x7e9fa312, + (q31_t)0x7e9eb7aa, (q31_t)0x7e9dcbf4, + (q31_t)0x7e9cdff0, (q31_t)0x7e9bf39e, (q31_t)0x7e9b06fe, (q31_t)0x7e9a1a10, (q31_t)0x7e992cd4, (q31_t)0x7e983f49, + (q31_t)0x7e975171, (q31_t)0x7e96634a, + (q31_t)0x7e9574d6, (q31_t)0x7e948613, (q31_t)0x7e939702, (q31_t)0x7e92a7a3, (q31_t)0x7e91b7f6, (q31_t)0x7e90c7fb, + (q31_t)0x7e8fd7b2, (q31_t)0x7e8ee71b, + (q31_t)0x7e8df636, (q31_t)0x7e8d0502, (q31_t)0x7e8c1381, (q31_t)0x7e8b21b1, (q31_t)0x7e8a2f94, (q31_t)0x7e893d28, + (q31_t)0x7e884a6f, (q31_t)0x7e875767, + (q31_t)0x7e866411, (q31_t)0x7e85706d, (q31_t)0x7e847c7c, (q31_t)0x7e83883c, (q31_t)0x7e8293ae, (q31_t)0x7e819ed2, + (q31_t)0x7e80a9a8, (q31_t)0x7e7fb430, + (q31_t)0x7e7ebe6a, (q31_t)0x7e7dc856, (q31_t)0x7e7cd1f4, (q31_t)0x7e7bdb44, (q31_t)0x7e7ae446, (q31_t)0x7e79ecf9, + (q31_t)0x7e78f55f, (q31_t)0x7e77fd77, + (q31_t)0x7e770541, (q31_t)0x7e760cbd, (q31_t)0x7e7513ea, (q31_t)0x7e741aca, (q31_t)0x7e73215c, (q31_t)0x7e7227a0, + (q31_t)0x7e712d96, (q31_t)0x7e70333d, + (q31_t)0x7e6f3897, (q31_t)0x7e6e3da3, (q31_t)0x7e6d4261, (q31_t)0x7e6c46d1, (q31_t)0x7e6b4af2, (q31_t)0x7e6a4ec6, + (q31_t)0x7e69524c, (q31_t)0x7e685584, + (q31_t)0x7e67586e, (q31_t)0x7e665b0a, (q31_t)0x7e655d58, (q31_t)0x7e645f58, (q31_t)0x7e63610a, (q31_t)0x7e62626e, + (q31_t)0x7e616384, (q31_t)0x7e60644c, + (q31_t)0x7e5f64c7, (q31_t)0x7e5e64f3, (q31_t)0x7e5d64d1, (q31_t)0x7e5c6461, (q31_t)0x7e5b63a4, (q31_t)0x7e5a6298, + (q31_t)0x7e59613f, (q31_t)0x7e585f97, + (q31_t)0x7e575da2, (q31_t)0x7e565b5f, (q31_t)0x7e5558ce, (q31_t)0x7e5455ef, (q31_t)0x7e5352c1, (q31_t)0x7e524f46, + (q31_t)0x7e514b7e, (q31_t)0x7e504767, + (q31_t)0x7e4f4302, (q31_t)0x7e4e3e4f, (q31_t)0x7e4d394f, (q31_t)0x7e4c3400, (q31_t)0x7e4b2e64, (q31_t)0x7e4a287a, + (q31_t)0x7e492241, (q31_t)0x7e481bbb, + (q31_t)0x7e4714e7, (q31_t)0x7e460dc5, (q31_t)0x7e450656, (q31_t)0x7e43fe98, (q31_t)0x7e42f68c, (q31_t)0x7e41ee33, + (q31_t)0x7e40e58c, (q31_t)0x7e3fdc97, + (q31_t)0x7e3ed353, (q31_t)0x7e3dc9c3, (q31_t)0x7e3cbfe4, (q31_t)0x7e3bb5b7, (q31_t)0x7e3aab3c, (q31_t)0x7e39a074, + (q31_t)0x7e38955e, (q31_t)0x7e3789fa, + (q31_t)0x7e367e48, (q31_t)0x7e357248, (q31_t)0x7e3465fa, (q31_t)0x7e33595e, (q31_t)0x7e324c75, (q31_t)0x7e313f3e, + (q31_t)0x7e3031b9, (q31_t)0x7e2f23e6, + (q31_t)0x7e2e15c5, (q31_t)0x7e2d0756, (q31_t)0x7e2bf89a, (q31_t)0x7e2ae990, (q31_t)0x7e29da38, (q31_t)0x7e28ca92, + (q31_t)0x7e27ba9e, (q31_t)0x7e26aa5d, + (q31_t)0x7e2599cd, (q31_t)0x7e2488f0, (q31_t)0x7e2377c5, (q31_t)0x7e22664c, (q31_t)0x7e215486, (q31_t)0x7e204271, + (q31_t)0x7e1f300f, (q31_t)0x7e1e1d5f, + (q31_t)0x7e1d0a61, (q31_t)0x7e1bf716, (q31_t)0x7e1ae37c, (q31_t)0x7e19cf95, (q31_t)0x7e18bb60, (q31_t)0x7e17a6dd, + (q31_t)0x7e16920d, (q31_t)0x7e157cee, + (q31_t)0x7e146782, (q31_t)0x7e1351c9, (q31_t)0x7e123bc1, (q31_t)0x7e11256c, (q31_t)0x7e100ec8, (q31_t)0x7e0ef7d7, + (q31_t)0x7e0de099, (q31_t)0x7e0cc90c, + (q31_t)0x7e0bb132, (q31_t)0x7e0a990a, (q31_t)0x7e098095, (q31_t)0x7e0867d1, (q31_t)0x7e074ec0, (q31_t)0x7e063561, + (q31_t)0x7e051bb4, (q31_t)0x7e0401ba, + (q31_t)0x7e02e772, (q31_t)0x7e01ccdc, (q31_t)0x7e00b1f9, (q31_t)0x7dff96c7, (q31_t)0x7dfe7b48, (q31_t)0x7dfd5f7b, + (q31_t)0x7dfc4361, (q31_t)0x7dfb26f9, + (q31_t)0x7dfa0a43, (q31_t)0x7df8ed3f, (q31_t)0x7df7cfee, (q31_t)0x7df6b24f, (q31_t)0x7df59462, (q31_t)0x7df47628, + (q31_t)0x7df357a0, (q31_t)0x7df238ca, + (q31_t)0x7df119a7, (q31_t)0x7deffa35, (q31_t)0x7deeda77, (q31_t)0x7dedba6a, (q31_t)0x7dec9a10, (q31_t)0x7deb7968, + (q31_t)0x7dea5872, (q31_t)0x7de9372f, + (q31_t)0x7de8159e, (q31_t)0x7de6f3c0, (q31_t)0x7de5d193, (q31_t)0x7de4af1a, (q31_t)0x7de38c52, (q31_t)0x7de2693d, + (q31_t)0x7de145da, (q31_t)0x7de02229, + (q31_t)0x7ddefe2b, (q31_t)0x7dddd9e0, (q31_t)0x7ddcb546, (q31_t)0x7ddb905f, (q31_t)0x7dda6b2a, (q31_t)0x7dd945a8, + (q31_t)0x7dd81fd8, (q31_t)0x7dd6f9ba, + (q31_t)0x7dd5d34f, (q31_t)0x7dd4ac96, (q31_t)0x7dd38590, (q31_t)0x7dd25e3c, (q31_t)0x7dd1369a, (q31_t)0x7dd00eab, + (q31_t)0x7dcee66e, (q31_t)0x7dcdbde3, + (q31_t)0x7dcc950b, (q31_t)0x7dcb6be6, (q31_t)0x7dca4272, (q31_t)0x7dc918b1, (q31_t)0x7dc7eea3, (q31_t)0x7dc6c447, + (q31_t)0x7dc5999d, (q31_t)0x7dc46ea6, + (q31_t)0x7dc34361, (q31_t)0x7dc217cf, (q31_t)0x7dc0ebef, (q31_t)0x7dbfbfc1, (q31_t)0x7dbe9346, (q31_t)0x7dbd667d, + (q31_t)0x7dbc3967, (q31_t)0x7dbb0c03, + (q31_t)0x7db9de52, (q31_t)0x7db8b053, (q31_t)0x7db78207, (q31_t)0x7db6536d, (q31_t)0x7db52485, (q31_t)0x7db3f550, + (q31_t)0x7db2c5cd, (q31_t)0x7db195fd, + (q31_t)0x7db065df, (q31_t)0x7daf3574, (q31_t)0x7dae04bb, (q31_t)0x7dacd3b5, (q31_t)0x7daba261, (q31_t)0x7daa70c0, + (q31_t)0x7da93ed1, (q31_t)0x7da80c95, + (q31_t)0x7da6da0b, (q31_t)0x7da5a733, (q31_t)0x7da4740e, (q31_t)0x7da3409c, (q31_t)0x7da20cdc, (q31_t)0x7da0d8cf, + (q31_t)0x7d9fa474, (q31_t)0x7d9e6fcb, + (q31_t)0x7d9d3ad6, (q31_t)0x7d9c0592, (q31_t)0x7d9ad001, (q31_t)0x7d999a23, (q31_t)0x7d9863f7, (q31_t)0x7d972d7e, + (q31_t)0x7d95f6b7, (q31_t)0x7d94bfa3, + (q31_t)0x7d938841, (q31_t)0x7d925092, (q31_t)0x7d911896, (q31_t)0x7d8fe04c, (q31_t)0x7d8ea7b4, (q31_t)0x7d8d6ecf, + (q31_t)0x7d8c359d, (q31_t)0x7d8afc1d, + (q31_t)0x7d89c250, (q31_t)0x7d888835, (q31_t)0x7d874dcd, (q31_t)0x7d861317, (q31_t)0x7d84d814, (q31_t)0x7d839cc4, + (q31_t)0x7d826126, (q31_t)0x7d81253a, + (q31_t)0x7d7fe902, (q31_t)0x7d7eac7c, (q31_t)0x7d7d6fa8, (q31_t)0x7d7c3287, (q31_t)0x7d7af519, (q31_t)0x7d79b75d, + (q31_t)0x7d787954, (q31_t)0x7d773afd, + (q31_t)0x7d75fc59, (q31_t)0x7d74bd68, (q31_t)0x7d737e29, (q31_t)0x7d723e9d, (q31_t)0x7d70fec4, (q31_t)0x7d6fbe9d, + (q31_t)0x7d6e7e29, (q31_t)0x7d6d3d67, + (q31_t)0x7d6bfc58, (q31_t)0x7d6abafc, (q31_t)0x7d697952, (q31_t)0x7d68375b, (q31_t)0x7d66f517, (q31_t)0x7d65b285, + (q31_t)0x7d646fa6, (q31_t)0x7d632c79, + (q31_t)0x7d61e8ff, (q31_t)0x7d60a538, (q31_t)0x7d5f6124, (q31_t)0x7d5e1cc2, (q31_t)0x7d5cd813, (q31_t)0x7d5b9316, + (q31_t)0x7d5a4dcc, (q31_t)0x7d590835, + (q31_t)0x7d57c251, (q31_t)0x7d567c1f, (q31_t)0x7d5535a0, (q31_t)0x7d53eed3, (q31_t)0x7d52a7ba, (q31_t)0x7d516053, + (q31_t)0x7d50189e, (q31_t)0x7d4ed09d, + (q31_t)0x7d4d884e, (q31_t)0x7d4c3fb1, (q31_t)0x7d4af6c8, (q31_t)0x7d49ad91, (q31_t)0x7d48640d, (q31_t)0x7d471a3c, + (q31_t)0x7d45d01d, (q31_t)0x7d4485b1, + (q31_t)0x7d433af8, (q31_t)0x7d41eff1, (q31_t)0x7d40a49e, (q31_t)0x7d3f58fd, (q31_t)0x7d3e0d0e, (q31_t)0x7d3cc0d3, + (q31_t)0x7d3b744a, (q31_t)0x7d3a2774, + (q31_t)0x7d38da51, (q31_t)0x7d378ce0, (q31_t)0x7d363f23, (q31_t)0x7d34f118, (q31_t)0x7d33a2bf, (q31_t)0x7d32541a, + (q31_t)0x7d310527, (q31_t)0x7d2fb5e7, + (q31_t)0x7d2e665a, (q31_t)0x7d2d1680, (q31_t)0x7d2bc659, (q31_t)0x7d2a75e4, (q31_t)0x7d292522, (q31_t)0x7d27d413, + (q31_t)0x7d2682b6, (q31_t)0x7d25310d, + (q31_t)0x7d23df16, (q31_t)0x7d228cd2, (q31_t)0x7d213a41, (q31_t)0x7d1fe762, (q31_t)0x7d1e9437, (q31_t)0x7d1d40be, + (q31_t)0x7d1becf8, (q31_t)0x7d1a98e5, + (q31_t)0x7d194485, (q31_t)0x7d17efd8, (q31_t)0x7d169add, (q31_t)0x7d154595, (q31_t)0x7d13f001, (q31_t)0x7d129a1f, + (q31_t)0x7d1143ef, (q31_t)0x7d0fed73, + (q31_t)0x7d0e96aa, (q31_t)0x7d0d3f93, (q31_t)0x7d0be82f, (q31_t)0x7d0a907e, (q31_t)0x7d093880, (q31_t)0x7d07e035, + (q31_t)0x7d06879d, (q31_t)0x7d052eb8, + (q31_t)0x7d03d585, (q31_t)0x7d027c05, (q31_t)0x7d012239, (q31_t)0x7cffc81f, (q31_t)0x7cfe6db8, (q31_t)0x7cfd1304, + (q31_t)0x7cfbb803, (q31_t)0x7cfa5cb4, + (q31_t)0x7cf90119, (q31_t)0x7cf7a531, (q31_t)0x7cf648fb, (q31_t)0x7cf4ec79, (q31_t)0x7cf38fa9, (q31_t)0x7cf2328c, + (q31_t)0x7cf0d522, (q31_t)0x7cef776b, + (q31_t)0x7cee1967, (q31_t)0x7cecbb16, (q31_t)0x7ceb5c78, (q31_t)0x7ce9fd8d, (q31_t)0x7ce89e55, (q31_t)0x7ce73ed0, + (q31_t)0x7ce5defd, (q31_t)0x7ce47ede, + (q31_t)0x7ce31e72, (q31_t)0x7ce1bdb8, (q31_t)0x7ce05cb2, (q31_t)0x7cdefb5e, (q31_t)0x7cdd99be, (q31_t)0x7cdc37d0, + (q31_t)0x7cdad596, (q31_t)0x7cd9730e, + (q31_t)0x7cd8103a, (q31_t)0x7cd6ad18, (q31_t)0x7cd549aa, (q31_t)0x7cd3e5ee, (q31_t)0x7cd281e5, (q31_t)0x7cd11d90, + (q31_t)0x7ccfb8ed, (q31_t)0x7cce53fe, + (q31_t)0x7ccceec1, (q31_t)0x7ccb8937, (q31_t)0x7cca2361, (q31_t)0x7cc8bd3d, (q31_t)0x7cc756cd, (q31_t)0x7cc5f010, + (q31_t)0x7cc48905, (q31_t)0x7cc321ae, + (q31_t)0x7cc1ba09, (q31_t)0x7cc05218, (q31_t)0x7cbee9da, (q31_t)0x7cbd814f, (q31_t)0x7cbc1877, (q31_t)0x7cbaaf51, + (q31_t)0x7cb945df, (q31_t)0x7cb7dc20, + (q31_t)0x7cb67215, (q31_t)0x7cb507bc, (q31_t)0x7cb39d16, (q31_t)0x7cb23223, (q31_t)0x7cb0c6e4, (q31_t)0x7caf5b57, + (q31_t)0x7cadef7e, (q31_t)0x7cac8358, + (q31_t)0x7cab16e4, (q31_t)0x7ca9aa24, (q31_t)0x7ca83d17, (q31_t)0x7ca6cfbd, (q31_t)0x7ca56216, (q31_t)0x7ca3f423, + (q31_t)0x7ca285e2, (q31_t)0x7ca11755, + (q31_t)0x7c9fa87a, (q31_t)0x7c9e3953, (q31_t)0x7c9cc9df, (q31_t)0x7c9b5a1e, (q31_t)0x7c99ea10, (q31_t)0x7c9879b6, + (q31_t)0x7c97090e, (q31_t)0x7c95981a, + (q31_t)0x7c9426d8, (q31_t)0x7c92b54a, (q31_t)0x7c91436f, (q31_t)0x7c8fd148, (q31_t)0x7c8e5ed3, (q31_t)0x7c8cec12, + (q31_t)0x7c8b7903, (q31_t)0x7c8a05a8, + (q31_t)0x7c889200, (q31_t)0x7c871e0c, (q31_t)0x7c85a9ca, (q31_t)0x7c84353c, (q31_t)0x7c82c060, (q31_t)0x7c814b39, + (q31_t)0x7c7fd5c4, (q31_t)0x7c7e6002, + (q31_t)0x7c7ce9f4, (q31_t)0x7c7b7399, (q31_t)0x7c79fcf1, (q31_t)0x7c7885fc, (q31_t)0x7c770eba, (q31_t)0x7c75972c, + (q31_t)0x7c741f51, (q31_t)0x7c72a729, + (q31_t)0x7c712eb5, (q31_t)0x7c6fb5f3, (q31_t)0x7c6e3ce5, (q31_t)0x7c6cc38a, (q31_t)0x7c6b49e3, (q31_t)0x7c69cfee, + (q31_t)0x7c6855ad, (q31_t)0x7c66db1f, + (q31_t)0x7c656045, (q31_t)0x7c63e51e, (q31_t)0x7c6269aa, (q31_t)0x7c60ede9, (q31_t)0x7c5f71db, (q31_t)0x7c5df581, + (q31_t)0x7c5c78da, (q31_t)0x7c5afbe6, + (q31_t)0x7c597ea6, (q31_t)0x7c580119, (q31_t)0x7c56833f, (q31_t)0x7c550519, (q31_t)0x7c5386a6, (q31_t)0x7c5207e6, + (q31_t)0x7c5088d9, (q31_t)0x7c4f0980, + (q31_t)0x7c4d89da, (q31_t)0x7c4c09e8, (q31_t)0x7c4a89a8, (q31_t)0x7c49091c, (q31_t)0x7c478844, (q31_t)0x7c46071f, + (q31_t)0x7c4485ad, (q31_t)0x7c4303ee, + (q31_t)0x7c4181e3, (q31_t)0x7c3fff8b, (q31_t)0x7c3e7ce7, (q31_t)0x7c3cf9f5, (q31_t)0x7c3b76b8, (q31_t)0x7c39f32d, + (q31_t)0x7c386f56, (q31_t)0x7c36eb33, + (q31_t)0x7c3566c2, (q31_t)0x7c33e205, (q31_t)0x7c325cfc, (q31_t)0x7c30d7a6, (q31_t)0x7c2f5203, (q31_t)0x7c2dcc14, + (q31_t)0x7c2c45d8, (q31_t)0x7c2abf4f, + (q31_t)0x7c29387a, (q31_t)0x7c27b158, (q31_t)0x7c2629ea, (q31_t)0x7c24a22f, (q31_t)0x7c231a28, (q31_t)0x7c2191d4, + (q31_t)0x7c200933, (q31_t)0x7c1e8046, + (q31_t)0x7c1cf70c, (q31_t)0x7c1b6d86, (q31_t)0x7c19e3b3, (q31_t)0x7c185994, (q31_t)0x7c16cf28, (q31_t)0x7c15446f, + (q31_t)0x7c13b96a, (q31_t)0x7c122e19, + (q31_t)0x7c10a27b, (q31_t)0x7c0f1690, (q31_t)0x7c0d8a59, (q31_t)0x7c0bfdd5, (q31_t)0x7c0a7105, (q31_t)0x7c08e3e8, + (q31_t)0x7c07567f, (q31_t)0x7c05c8c9, + (q31_t)0x7c043ac7, (q31_t)0x7c02ac78, (q31_t)0x7c011ddd, (q31_t)0x7bff8ef5, (q31_t)0x7bfdffc1, (q31_t)0x7bfc7041, + (q31_t)0x7bfae073, (q31_t)0x7bf9505a, + (q31_t)0x7bf7bff4, (q31_t)0x7bf62f41, (q31_t)0x7bf49e42, (q31_t)0x7bf30cf6, (q31_t)0x7bf17b5e, (q31_t)0x7befe97a, + (q31_t)0x7bee5749, (q31_t)0x7becc4cc, + (q31_t)0x7beb3202, (q31_t)0x7be99eec, (q31_t)0x7be80b89, (q31_t)0x7be677da, (q31_t)0x7be4e3df, (q31_t)0x7be34f97, + (q31_t)0x7be1bb02, (q31_t)0x7be02621, + (q31_t)0x7bde90f4, (q31_t)0x7bdcfb7b, (q31_t)0x7bdb65b5, (q31_t)0x7bd9cfa2, (q31_t)0x7bd83944, (q31_t)0x7bd6a298, + (q31_t)0x7bd50ba1, (q31_t)0x7bd3745d, + (q31_t)0x7bd1dccc, (q31_t)0x7bd044f0, (q31_t)0x7bceacc7, (q31_t)0x7bcd1451, (q31_t)0x7bcb7b8f, (q31_t)0x7bc9e281, + (q31_t)0x7bc84927, (q31_t)0x7bc6af80, + (q31_t)0x7bc5158c, (q31_t)0x7bc37b4d, (q31_t)0x7bc1e0c1, (q31_t)0x7bc045e9, (q31_t)0x7bbeaac4, (q31_t)0x7bbd0f53, + (q31_t)0x7bbb7396, (q31_t)0x7bb9d78c, + (q31_t)0x7bb83b36, (q31_t)0x7bb69e94, (q31_t)0x7bb501a5, (q31_t)0x7bb3646a, (q31_t)0x7bb1c6e3, (q31_t)0x7bb02910, + (q31_t)0x7bae8af0, (q31_t)0x7bacec84, + (q31_t)0x7bab4dcc, (q31_t)0x7ba9aec7, (q31_t)0x7ba80f76, (q31_t)0x7ba66fd9, (q31_t)0x7ba4cfef, (q31_t)0x7ba32fba, + (q31_t)0x7ba18f38, (q31_t)0x7b9fee69, + (q31_t)0x7b9e4d4f, (q31_t)0x7b9cabe8, (q31_t)0x7b9b0a35, (q31_t)0x7b996836, (q31_t)0x7b97c5ea, (q31_t)0x7b962352, + (q31_t)0x7b94806e, (q31_t)0x7b92dd3e, + (q31_t)0x7b9139c2, (q31_t)0x7b8f95f9, (q31_t)0x7b8df1e4, (q31_t)0x7b8c4d83, (q31_t)0x7b8aa8d6, (q31_t)0x7b8903dc, + (q31_t)0x7b875e96, (q31_t)0x7b85b904, + (q31_t)0x7b841326, (q31_t)0x7b826cfc, (q31_t)0x7b80c686, (q31_t)0x7b7f1fc3, (q31_t)0x7b7d78b4, (q31_t)0x7b7bd159, + (q31_t)0x7b7a29b2, (q31_t)0x7b7881be, + (q31_t)0x7b76d97f, (q31_t)0x7b7530f3, (q31_t)0x7b73881b, (q31_t)0x7b71def7, (q31_t)0x7b703587, (q31_t)0x7b6e8bcb, + (q31_t)0x7b6ce1c2, (q31_t)0x7b6b376e, + (q31_t)0x7b698ccd, (q31_t)0x7b67e1e0, (q31_t)0x7b6636a7, (q31_t)0x7b648b22, (q31_t)0x7b62df51, (q31_t)0x7b613334, + (q31_t)0x7b5f86ca, (q31_t)0x7b5dda15, + (q31_t)0x7b5c2d13, (q31_t)0x7b5a7fc6, (q31_t)0x7b58d22c, (q31_t)0x7b572446, (q31_t)0x7b557614, (q31_t)0x7b53c796, + (q31_t)0x7b5218cc, (q31_t)0x7b5069b6, + (q31_t)0x7b4eba53, (q31_t)0x7b4d0aa5, (q31_t)0x7b4b5aab, (q31_t)0x7b49aa64, (q31_t)0x7b47f9d2, (q31_t)0x7b4648f3, + (q31_t)0x7b4497c9, (q31_t)0x7b42e652, + (q31_t)0x7b413490, (q31_t)0x7b3f8281, (q31_t)0x7b3dd026, (q31_t)0x7b3c1d80, (q31_t)0x7b3a6a8d, (q31_t)0x7b38b74e, + (q31_t)0x7b3703c3, (q31_t)0x7b354fed, + (q31_t)0x7b339bca, (q31_t)0x7b31e75b, (q31_t)0x7b3032a0, (q31_t)0x7b2e7d9a, (q31_t)0x7b2cc847, (q31_t)0x7b2b12a8, + (q31_t)0x7b295cbe, (q31_t)0x7b27a687, + (q31_t)0x7b25f004, (q31_t)0x7b243936, (q31_t)0x7b22821b, (q31_t)0x7b20cab5, (q31_t)0x7b1f1302, (q31_t)0x7b1d5b04, + (q31_t)0x7b1ba2b9, (q31_t)0x7b19ea23, + (q31_t)0x7b183141, (q31_t)0x7b167813, (q31_t)0x7b14be99, (q31_t)0x7b1304d3, (q31_t)0x7b114ac1, (q31_t)0x7b0f9063, + (q31_t)0x7b0dd5b9, (q31_t)0x7b0c1ac4, + (q31_t)0x7b0a5f82, (q31_t)0x7b08a3f5, (q31_t)0x7b06e81b, (q31_t)0x7b052bf6, (q31_t)0x7b036f85, (q31_t)0x7b01b2c8, + (q31_t)0x7afff5bf, (q31_t)0x7afe386a, + (q31_t)0x7afc7aca, (q31_t)0x7afabcdd, (q31_t)0x7af8fea5, (q31_t)0x7af74021, (q31_t)0x7af58151, (q31_t)0x7af3c235, + (q31_t)0x7af202cd, (q31_t)0x7af0431a, + (q31_t)0x7aee831a, (q31_t)0x7aecc2cf, (q31_t)0x7aeb0238, (q31_t)0x7ae94155, (q31_t)0x7ae78026, (q31_t)0x7ae5beac, + (q31_t)0x7ae3fce6, (q31_t)0x7ae23ad4, + (q31_t)0x7ae07876, (q31_t)0x7adeb5cc, (q31_t)0x7adcf2d6, (q31_t)0x7adb2f95, (q31_t)0x7ad96c08, (q31_t)0x7ad7a82f, + (q31_t)0x7ad5e40a, (q31_t)0x7ad41f9a, + (q31_t)0x7ad25ade, (q31_t)0x7ad095d6, (q31_t)0x7aced082, (q31_t)0x7acd0ae3, (q31_t)0x7acb44f8, (q31_t)0x7ac97ec1, + (q31_t)0x7ac7b83e, (q31_t)0x7ac5f170, + (q31_t)0x7ac42a55, (q31_t)0x7ac262ef, (q31_t)0x7ac09b3e, (q31_t)0x7abed341, (q31_t)0x7abd0af7, (q31_t)0x7abb4263, + (q31_t)0x7ab97982, (q31_t)0x7ab7b056, + (q31_t)0x7ab5e6de, (q31_t)0x7ab41d1b, (q31_t)0x7ab2530b, (q31_t)0x7ab088b0, (q31_t)0x7aaebe0a, (q31_t)0x7aacf318, + (q31_t)0x7aab27da, (q31_t)0x7aa95c50, + (q31_t)0x7aa7907b, (q31_t)0x7aa5c45a, (q31_t)0x7aa3f7ed, (q31_t)0x7aa22b35, (q31_t)0x7aa05e31, (q31_t)0x7a9e90e1, + (q31_t)0x7a9cc346, (q31_t)0x7a9af55f, + (q31_t)0x7a99272d, (q31_t)0x7a9758af, (q31_t)0x7a9589e5, (q31_t)0x7a93bad0, (q31_t)0x7a91eb6f, (q31_t)0x7a901bc2, + (q31_t)0x7a8e4bca, (q31_t)0x7a8c7b87, + (q31_t)0x7a8aaaf7, (q31_t)0x7a88da1c, (q31_t)0x7a8708f6, (q31_t)0x7a853784, (q31_t)0x7a8365c6, (q31_t)0x7a8193bd, + (q31_t)0x7a7fc168, (q31_t)0x7a7deec8, + (q31_t)0x7a7c1bdc, (q31_t)0x7a7a48a4, (q31_t)0x7a787521, (q31_t)0x7a76a153, (q31_t)0x7a74cd38, (q31_t)0x7a72f8d3, + (q31_t)0x7a712422, (q31_t)0x7a6f4f25, + (q31_t)0x7a6d79dd, (q31_t)0x7a6ba449, (q31_t)0x7a69ce6a, (q31_t)0x7a67f83f, (q31_t)0x7a6621c9, (q31_t)0x7a644b07, + (q31_t)0x7a6273fa, (q31_t)0x7a609ca1, + (q31_t)0x7a5ec4fc, (q31_t)0x7a5ced0d, (q31_t)0x7a5b14d1, (q31_t)0x7a593c4b, (q31_t)0x7a576379, (q31_t)0x7a558a5b, + (q31_t)0x7a53b0f2, (q31_t)0x7a51d73d, + (q31_t)0x7a4ffd3d, (q31_t)0x7a4e22f2, (q31_t)0x7a4c485b, (q31_t)0x7a4a6d78, (q31_t)0x7a48924b, (q31_t)0x7a46b6d1, + (q31_t)0x7a44db0d, (q31_t)0x7a42fefd, + (q31_t)0x7a4122a1, (q31_t)0x7a3f45fa, (q31_t)0x7a3d6908, (q31_t)0x7a3b8bca, (q31_t)0x7a39ae41, (q31_t)0x7a37d06d, + (q31_t)0x7a35f24d, (q31_t)0x7a3413e2, + (q31_t)0x7a32352b, (q31_t)0x7a305629, (q31_t)0x7a2e76dc, (q31_t)0x7a2c9743, (q31_t)0x7a2ab75f, (q31_t)0x7a28d72f, + (q31_t)0x7a26f6b4, (q31_t)0x7a2515ee, + (q31_t)0x7a2334dd, (q31_t)0x7a215380, (q31_t)0x7a1f71d7, (q31_t)0x7a1d8fe4, (q31_t)0x7a1bada5, (q31_t)0x7a19cb1b, + (q31_t)0x7a17e845, (q31_t)0x7a160524, + (q31_t)0x7a1421b8, (q31_t)0x7a123e01, (q31_t)0x7a1059fe, (q31_t)0x7a0e75b0, (q31_t)0x7a0c9117, (q31_t)0x7a0aac32, + (q31_t)0x7a08c702, (q31_t)0x7a06e187, + (q31_t)0x7a04fbc1, (q31_t)0x7a0315af, (q31_t)0x7a012f52, (q31_t)0x79ff48aa, (q31_t)0x79fd61b6, (q31_t)0x79fb7a77, + (q31_t)0x79f992ed, (q31_t)0x79f7ab18, + (q31_t)0x79f5c2f8, (q31_t)0x79f3da8c, (q31_t)0x79f1f1d5, (q31_t)0x79f008d3, (q31_t)0x79ee1f86, (q31_t)0x79ec35ed, + (q31_t)0x79ea4c09, (q31_t)0x79e861da, + (q31_t)0x79e67760, (q31_t)0x79e48c9b, (q31_t)0x79e2a18a, (q31_t)0x79e0b62e, (q31_t)0x79deca87, (q31_t)0x79dcde95, + (q31_t)0x79daf258, (q31_t)0x79d905d0, + (q31_t)0x79d718fc, (q31_t)0x79d52bdd, (q31_t)0x79d33e73, (q31_t)0x79d150be, (q31_t)0x79cf62be, (q31_t)0x79cd7473, + (q31_t)0x79cb85dc, (q31_t)0x79c996fb, + (q31_t)0x79c7a7ce, (q31_t)0x79c5b856, (q31_t)0x79c3c893, (q31_t)0x79c1d885, (q31_t)0x79bfe82c, (q31_t)0x79bdf788, + (q31_t)0x79bc0698, (q31_t)0x79ba155e, + (q31_t)0x79b823d8, (q31_t)0x79b63207, (q31_t)0x79b43fec, (q31_t)0x79b24d85, (q31_t)0x79b05ad3, (q31_t)0x79ae67d6, + (q31_t)0x79ac748e, (q31_t)0x79aa80fb, + (q31_t)0x79a88d1d, (q31_t)0x79a698f4, (q31_t)0x79a4a480, (q31_t)0x79a2afc1, (q31_t)0x79a0bab6, (q31_t)0x799ec561, + (q31_t)0x799ccfc1, (q31_t)0x799ad9d5, + (q31_t)0x7998e39f, (q31_t)0x7996ed1e, (q31_t)0x7994f651, (q31_t)0x7992ff3a, (q31_t)0x799107d8, (q31_t)0x798f102a, + (q31_t)0x798d1832, (q31_t)0x798b1fef, + (q31_t)0x79892761, (q31_t)0x79872e87, (q31_t)0x79853563, (q31_t)0x79833bf4, (q31_t)0x7981423a, (q31_t)0x797f4835, + (q31_t)0x797d4de5, (q31_t)0x797b534a, + (q31_t)0x79795864, (q31_t)0x79775d33, (q31_t)0x797561b8, (q31_t)0x797365f1, (q31_t)0x797169df, (q31_t)0x796f6d83, + (q31_t)0x796d70dc, (q31_t)0x796b73e9, + (q31_t)0x796976ac, (q31_t)0x79677924, (q31_t)0x79657b51, (q31_t)0x79637d33, (q31_t)0x79617eca, (q31_t)0x795f8017, + (q31_t)0x795d8118, (q31_t)0x795b81cf, + (q31_t)0x7959823b, (q31_t)0x7957825c, (q31_t)0x79558232, (q31_t)0x795381bd, (q31_t)0x795180fe, (q31_t)0x794f7ff3, + (q31_t)0x794d7e9e, (q31_t)0x794b7cfe, + (q31_t)0x79497b13, (q31_t)0x794778dd, (q31_t)0x7945765d, (q31_t)0x79437391, (q31_t)0x7941707b, (q31_t)0x793f6d1a, + (q31_t)0x793d696f, (q31_t)0x793b6578, + (q31_t)0x79396137, (q31_t)0x79375cab, (q31_t)0x793557d4, (q31_t)0x793352b2, (q31_t)0x79314d46, (q31_t)0x792f478f, + (q31_t)0x792d418d, (q31_t)0x792b3b40, + (q31_t)0x792934a9, (q31_t)0x79272dc7, (q31_t)0x7925269a, (q31_t)0x79231f22, (q31_t)0x79211760, (q31_t)0x791f0f53, + (q31_t)0x791d06fb, (q31_t)0x791afe59, + (q31_t)0x7918f56c, (q31_t)0x7916ec34, (q31_t)0x7914e2b2, (q31_t)0x7912d8e4, (q31_t)0x7910cecc, (q31_t)0x790ec46a, + (q31_t)0x790cb9bd, (q31_t)0x790aaec5, + (q31_t)0x7908a382, (q31_t)0x790697f5, (q31_t)0x79048c1d, (q31_t)0x79027ffa, (q31_t)0x7900738d, (q31_t)0x78fe66d5, + (q31_t)0x78fc59d3, (q31_t)0x78fa4c86, + (q31_t)0x78f83eee, (q31_t)0x78f6310c, (q31_t)0x78f422df, (q31_t)0x78f21467, (q31_t)0x78f005a5, (q31_t)0x78edf698, + (q31_t)0x78ebe741, (q31_t)0x78e9d79f, + (q31_t)0x78e7c7b2, (q31_t)0x78e5b77b, (q31_t)0x78e3a6f9, (q31_t)0x78e1962d, (q31_t)0x78df8516, (q31_t)0x78dd73b5, + (q31_t)0x78db6209, (q31_t)0x78d95012, + (q31_t)0x78d73dd1, (q31_t)0x78d52b46, (q31_t)0x78d31870, (q31_t)0x78d1054f, (q31_t)0x78cef1e4, (q31_t)0x78ccde2e, + (q31_t)0x78caca2e, (q31_t)0x78c8b5e3, + (q31_t)0x78c6a14e, (q31_t)0x78c48c6e, (q31_t)0x78c27744, (q31_t)0x78c061cf, (q31_t)0x78be4c10, (q31_t)0x78bc3606, + (q31_t)0x78ba1fb2, (q31_t)0x78b80913, + (q31_t)0x78b5f22a, (q31_t)0x78b3daf7, (q31_t)0x78b1c379, (q31_t)0x78afabb0, (q31_t)0x78ad939d, (q31_t)0x78ab7b40, + (q31_t)0x78a96298, (q31_t)0x78a749a6, + (q31_t)0x78a53069, (q31_t)0x78a316e2, (q31_t)0x78a0fd11, (q31_t)0x789ee2f5, (q31_t)0x789cc88f, (q31_t)0x789aadde, + (q31_t)0x789892e3, (q31_t)0x7896779d, + (q31_t)0x78945c0d, (q31_t)0x78924033, (q31_t)0x7890240e, (q31_t)0x788e07a0, (q31_t)0x788beae6, (q31_t)0x7889cde2, + (q31_t)0x7887b094, (q31_t)0x788592fc, + (q31_t)0x78837519, (q31_t)0x788156ec, (q31_t)0x787f3875, (q31_t)0x787d19b3, (q31_t)0x787afaa7, (q31_t)0x7878db50, + (q31_t)0x7876bbb0, (q31_t)0x78749bc5, + (q31_t)0x78727b8f, (q31_t)0x78705b10, (q31_t)0x786e3a46, (q31_t)0x786c1932, (q31_t)0x7869f7d3, (q31_t)0x7867d62a, + (q31_t)0x7865b437, (q31_t)0x786391fa, + (q31_t)0x78616f72, (q31_t)0x785f4ca1, (q31_t)0x785d2984, (q31_t)0x785b061e, (q31_t)0x7858e26e, (q31_t)0x7856be73, + (q31_t)0x78549a2e, (q31_t)0x7852759e, + (q31_t)0x785050c5, (q31_t)0x784e2ba1, (q31_t)0x784c0633, (q31_t)0x7849e07b, (q31_t)0x7847ba79, (q31_t)0x7845942c, + (q31_t)0x78436d96, (q31_t)0x784146b5, + (q31_t)0x783f1f8a, (q31_t)0x783cf815, (q31_t)0x783ad055, (q31_t)0x7838a84c, (q31_t)0x78367ff8, (q31_t)0x7834575a, + (q31_t)0x78322e72, (q31_t)0x78300540, + (q31_t)0x782ddbc4, (q31_t)0x782bb1fd, (q31_t)0x782987ed, (q31_t)0x78275d92, (q31_t)0x782532ed, (q31_t)0x782307fe, + (q31_t)0x7820dcc5, (q31_t)0x781eb142, + (q31_t)0x781c8575, (q31_t)0x781a595d, (q31_t)0x78182cfc, (q31_t)0x78160051, (q31_t)0x7813d35b, (q31_t)0x7811a61b, + (q31_t)0x780f7892, (q31_t)0x780d4abe, + (q31_t)0x780b1ca0, (q31_t)0x7808ee38, (q31_t)0x7806bf86, (q31_t)0x7804908a, (q31_t)0x78026145, (q31_t)0x780031b5, + (q31_t)0x77fe01db, (q31_t)0x77fbd1b6, + (q31_t)0x77f9a148, (q31_t)0x77f77090, (q31_t)0x77f53f8e, (q31_t)0x77f30e42, (q31_t)0x77f0dcac, (q31_t)0x77eeaacc, + (q31_t)0x77ec78a2, (q31_t)0x77ea462e, + (q31_t)0x77e81370, (q31_t)0x77e5e068, (q31_t)0x77e3ad17, (q31_t)0x77e1797b, (q31_t)0x77df4595, (q31_t)0x77dd1165, + (q31_t)0x77dadcec, (q31_t)0x77d8a828, + (q31_t)0x77d6731a, (q31_t)0x77d43dc3, (q31_t)0x77d20822, (q31_t)0x77cfd236, (q31_t)0x77cd9c01, (q31_t)0x77cb6582, + (q31_t)0x77c92eb9, (q31_t)0x77c6f7a6, + (q31_t)0x77c4c04a, (q31_t)0x77c288a3, (q31_t)0x77c050b2, (q31_t)0x77be1878, (q31_t)0x77bbdff4, (q31_t)0x77b9a726, + (q31_t)0x77b76e0e, (q31_t)0x77b534ac, + (q31_t)0x77b2fb00, (q31_t)0x77b0c10b, (q31_t)0x77ae86cc, (q31_t)0x77ac4c43, (q31_t)0x77aa1170, (q31_t)0x77a7d653, + (q31_t)0x77a59aec, (q31_t)0x77a35f3c, + (q31_t)0x77a12342, (q31_t)0x779ee6fe, (q31_t)0x779caa70, (q31_t)0x779a6d99, (q31_t)0x77983077, (q31_t)0x7795f30c, + (q31_t)0x7793b557, (q31_t)0x77917759, + (q31_t)0x778f3910, (q31_t)0x778cfa7e, (q31_t)0x778abba2, (q31_t)0x77887c7d, (q31_t)0x77863d0d, (q31_t)0x7783fd54, + (q31_t)0x7781bd52, (q31_t)0x777f7d05, + (q31_t)0x777d3c6f, (q31_t)0x777afb8f, (q31_t)0x7778ba65, (q31_t)0x777678f2, (q31_t)0x77743735, (q31_t)0x7771f52e, + (q31_t)0x776fb2de, (q31_t)0x776d7044, + (q31_t)0x776b2d60, (q31_t)0x7768ea33, (q31_t)0x7766a6bc, (q31_t)0x776462fb, (q31_t)0x77621ef1, (q31_t)0x775fda9d, + (q31_t)0x775d95ff, (q31_t)0x775b5118, + (q31_t)0x77590be7, (q31_t)0x7756c66c, (q31_t)0x775480a8, (q31_t)0x77523a9b, (q31_t)0x774ff443, (q31_t)0x774dada2, + (q31_t)0x774b66b8, (q31_t)0x77491f84, + (q31_t)0x7746d806, (q31_t)0x7744903f, (q31_t)0x7742482e, (q31_t)0x773fffd4, (q31_t)0x773db730, (q31_t)0x773b6e42, + (q31_t)0x7739250b, (q31_t)0x7736db8b, + (q31_t)0x773491c0, (q31_t)0x773247ad, (q31_t)0x772ffd50, (q31_t)0x772db2a9, (q31_t)0x772b67b9, (q31_t)0x77291c7f, + (q31_t)0x7726d0fc, (q31_t)0x7724852f, + (q31_t)0x77223919, (q31_t)0x771fecb9, (q31_t)0x771da010, (q31_t)0x771b531d, (q31_t)0x771905e1, (q31_t)0x7716b85b, + (q31_t)0x77146a8c, (q31_t)0x77121c74, + (q31_t)0x770fce12, (q31_t)0x770d7f66, (q31_t)0x770b3072, (q31_t)0x7708e133, (q31_t)0x770691ab, (q31_t)0x770441da, + (q31_t)0x7701f1c0, (q31_t)0x76ffa15c, + (q31_t)0x76fd50ae, (q31_t)0x76faffb8, (q31_t)0x76f8ae78, (q31_t)0x76f65cee, (q31_t)0x76f40b1b, (q31_t)0x76f1b8ff, + (q31_t)0x76ef6699, (q31_t)0x76ed13ea, + (q31_t)0x76eac0f2, (q31_t)0x76e86db0, (q31_t)0x76e61a25, (q31_t)0x76e3c650, (q31_t)0x76e17233, (q31_t)0x76df1dcb, + (q31_t)0x76dcc91b, (q31_t)0x76da7421, + (q31_t)0x76d81ede, (q31_t)0x76d5c952, (q31_t)0x76d3737c, (q31_t)0x76d11d5d, (q31_t)0x76cec6f5, (q31_t)0x76cc7043, + (q31_t)0x76ca1948, (q31_t)0x76c7c204, + (q31_t)0x76c56a77, (q31_t)0x76c312a0, (q31_t)0x76c0ba80, (q31_t)0x76be6217, (q31_t)0x76bc0965, (q31_t)0x76b9b069, + (q31_t)0x76b75724, (q31_t)0x76b4fd96, + (q31_t)0x76b2a3bf, (q31_t)0x76b0499e, (q31_t)0x76adef34, (q31_t)0x76ab9481, (q31_t)0x76a93985, (q31_t)0x76a6de40, + (q31_t)0x76a482b1, (q31_t)0x76a226da, + (q31_t)0x769fcab9, (q31_t)0x769d6e4f, (q31_t)0x769b119b, (q31_t)0x7698b49f, (q31_t)0x76965759, (q31_t)0x7693f9ca, + (q31_t)0x76919bf3, (q31_t)0x768f3dd2, + (q31_t)0x768cdf67, (q31_t)0x768a80b4, (q31_t)0x768821b8, (q31_t)0x7685c272, (q31_t)0x768362e4, (q31_t)0x7681030c, + (q31_t)0x767ea2eb, (q31_t)0x767c4281, + (q31_t)0x7679e1ce, (q31_t)0x767780d2, (q31_t)0x76751f8d, (q31_t)0x7672bdfe, (q31_t)0x76705c27, (q31_t)0x766dfa07, + (q31_t)0x766b979d, (q31_t)0x766934eb, + (q31_t)0x7666d1ef, (q31_t)0x76646eab, (q31_t)0x76620b1d, (q31_t)0x765fa747, (q31_t)0x765d4327, (q31_t)0x765adebe, + (q31_t)0x76587a0d, (q31_t)0x76561512, + (q31_t)0x7653afce, (q31_t)0x76514a42, (q31_t)0x764ee46c, (q31_t)0x764c7e4d, (q31_t)0x764a17e6, (q31_t)0x7647b135, + (q31_t)0x76454a3c, (q31_t)0x7642e2f9, + (q31_t)0x76407b6e, (q31_t)0x763e139a, (q31_t)0x763bab7c, (q31_t)0x76394316, (q31_t)0x7636da67, (q31_t)0x7634716f, + (q31_t)0x7632082e, (q31_t)0x762f9ea4, + (q31_t)0x762d34d1, (q31_t)0x762acab6, (q31_t)0x76286051, (q31_t)0x7625f5a3, (q31_t)0x76238aad, (q31_t)0x76211f6e, + (q31_t)0x761eb3e6, (q31_t)0x761c4815, + (q31_t)0x7619dbfb, (q31_t)0x76176f98, (q31_t)0x761502ed, (q31_t)0x761295f9, (q31_t)0x761028bb, (q31_t)0x760dbb35, + (q31_t)0x760b4d67, (q31_t)0x7608df4f, + (q31_t)0x760670ee, (q31_t)0x76040245, (q31_t)0x76019353, (q31_t)0x75ff2418, (q31_t)0x75fcb495, (q31_t)0x75fa44c8, + (q31_t)0x75f7d4b3, (q31_t)0x75f56455, + (q31_t)0x75f2f3ae, (q31_t)0x75f082bf, (q31_t)0x75ee1187, (q31_t)0x75eba006, (q31_t)0x75e92e3c, (q31_t)0x75e6bc2a, + (q31_t)0x75e449ce, (q31_t)0x75e1d72b, + (q31_t)0x75df643e, (q31_t)0x75dcf109, (q31_t)0x75da7d8b, (q31_t)0x75d809c4, (q31_t)0x75d595b4, (q31_t)0x75d3215c, + (q31_t)0x75d0acbc, (q31_t)0x75ce37d2, + (q31_t)0x75cbc2a0, (q31_t)0x75c94d25, (q31_t)0x75c6d762, (q31_t)0x75c46156, (q31_t)0x75c1eb01, (q31_t)0x75bf7464, + (q31_t)0x75bcfd7e, (q31_t)0x75ba864f, + (q31_t)0x75b80ed8, (q31_t)0x75b59718, (q31_t)0x75b31f0f, (q31_t)0x75b0a6be, (q31_t)0x75ae2e25, (q31_t)0x75abb542, + (q31_t)0x75a93c18, (q31_t)0x75a6c2a4, + (q31_t)0x75a448e8, (q31_t)0x75a1cee4, (q31_t)0x759f5496, (q31_t)0x759cda01, (q31_t)0x759a5f22, (q31_t)0x7597e3fc, + (q31_t)0x7595688c, (q31_t)0x7592ecd4, + (q31_t)0x759070d4, (q31_t)0x758df48b, (q31_t)0x758b77fa, (q31_t)0x7588fb20, (q31_t)0x75867dfd, (q31_t)0x75840093, + (q31_t)0x758182df, (q31_t)0x757f04e3, + (q31_t)0x757c869f, (q31_t)0x757a0812, (q31_t)0x7577893d, (q31_t)0x75750a1f, (q31_t)0x75728ab9, (q31_t)0x75700b0a, + (q31_t)0x756d8b13, (q31_t)0x756b0ad3, + (q31_t)0x75688a4b, (q31_t)0x7566097b, (q31_t)0x75638862, (q31_t)0x75610701, (q31_t)0x755e8557, (q31_t)0x755c0365, + (q31_t)0x7559812b, (q31_t)0x7556fea8, + (q31_t)0x75547bdd, (q31_t)0x7551f8c9, (q31_t)0x754f756e, (q31_t)0x754cf1c9, (q31_t)0x754a6ddd, (q31_t)0x7547e9a8, + (q31_t)0x7545652a, (q31_t)0x7542e065, + (q31_t)0x75405b57, (q31_t)0x753dd600, (q31_t)0x753b5061, (q31_t)0x7538ca7b, (q31_t)0x7536444b, (q31_t)0x7533bdd4, + (q31_t)0x75313714, (q31_t)0x752eb00c, + (q31_t)0x752c28bb, (q31_t)0x7529a122, (q31_t)0x75271941, (q31_t)0x75249118, (q31_t)0x752208a7, (q31_t)0x751f7fed, + (q31_t)0x751cf6eb, (q31_t)0x751a6da0, + (q31_t)0x7517e40e, (q31_t)0x75155a33, (q31_t)0x7512d010, (q31_t)0x751045a5, (q31_t)0x750dbaf2, (q31_t)0x750b2ff6, + (q31_t)0x7508a4b2, (q31_t)0x75061926, + (q31_t)0x75038d52, (q31_t)0x75010136, (q31_t)0x74fe74d1, (q31_t)0x74fbe825, (q31_t)0x74f95b30, (q31_t)0x74f6cdf3, + (q31_t)0x74f4406d, (q31_t)0x74f1b2a0, + (q31_t)0x74ef248b, (q31_t)0x74ec962d, (q31_t)0x74ea0787, (q31_t)0x74e7789a, (q31_t)0x74e4e964, (q31_t)0x74e259e6, + (q31_t)0x74dfca20, (q31_t)0x74dd3a11, + (q31_t)0x74daa9bb, (q31_t)0x74d8191d, (q31_t)0x74d58836, (q31_t)0x74d2f708, (q31_t)0x74d06591, (q31_t)0x74cdd3d2, + (q31_t)0x74cb41cc, (q31_t)0x74c8af7d, + (q31_t)0x74c61ce6, (q31_t)0x74c38a07, (q31_t)0x74c0f6e0, (q31_t)0x74be6372, (q31_t)0x74bbcfbb, (q31_t)0x74b93bbc, + (q31_t)0x74b6a775, (q31_t)0x74b412e6, + (q31_t)0x74b17e0f, (q31_t)0x74aee8f0, (q31_t)0x74ac5389, (q31_t)0x74a9bddb, (q31_t)0x74a727e4, (q31_t)0x74a491a5, + (q31_t)0x74a1fb1e, (q31_t)0x749f6450, + (q31_t)0x749ccd39, (q31_t)0x749a35db, (q31_t)0x74979e34, (q31_t)0x74950646, (q31_t)0x74926e10, (q31_t)0x748fd592, + (q31_t)0x748d3ccb, (q31_t)0x748aa3be, + (q31_t)0x74880a68, (q31_t)0x748570ca, (q31_t)0x7482d6e4, (q31_t)0x74803cb7, (q31_t)0x747da242, (q31_t)0x747b0784, + (q31_t)0x74786c7f, (q31_t)0x7475d132, + (q31_t)0x7473359e, (q31_t)0x747099c1, (q31_t)0x746dfd9d, (q31_t)0x746b6131, (q31_t)0x7468c47c, (q31_t)0x74662781, + (q31_t)0x74638a3d, (q31_t)0x7460ecb2, + (q31_t)0x745e4ede, (q31_t)0x745bb0c3, (q31_t)0x74591261, (q31_t)0x745673b6, (q31_t)0x7453d4c4, (q31_t)0x7451358a, + (q31_t)0x744e9608, (q31_t)0x744bf63e, + (q31_t)0x7449562d, (q31_t)0x7446b5d4, (q31_t)0x74441533, (q31_t)0x7441744b, (q31_t)0x743ed31b, (q31_t)0x743c31a3, + (q31_t)0x74398fe3, (q31_t)0x7436eddc, + (q31_t)0x74344b8d, (q31_t)0x7431a8f6, (q31_t)0x742f0618, (q31_t)0x742c62f2, (q31_t)0x7429bf84, (q31_t)0x74271bcf, + (q31_t)0x742477d2, (q31_t)0x7421d38e, + (q31_t)0x741f2f01, (q31_t)0x741c8a2d, (q31_t)0x7419e512, (q31_t)0x74173faf, (q31_t)0x74149a04, (q31_t)0x7411f412, + (q31_t)0x740f4dd8, (q31_t)0x740ca756, + (q31_t)0x740a008d, (q31_t)0x7407597d, (q31_t)0x7404b224, (q31_t)0x74020a85, (q31_t)0x73ff629d, (q31_t)0x73fcba6e, + (q31_t)0x73fa11f8, (q31_t)0x73f7693a, + (q31_t)0x73f4c034, (q31_t)0x73f216e7, (q31_t)0x73ef6d53, (q31_t)0x73ecc377, (q31_t)0x73ea1953, (q31_t)0x73e76ee8, + (q31_t)0x73e4c435, (q31_t)0x73e2193b, + (q31_t)0x73df6df9, (q31_t)0x73dcc270, (q31_t)0x73da16a0, (q31_t)0x73d76a88, (q31_t)0x73d4be28, (q31_t)0x73d21182, + (q31_t)0x73cf6493, (q31_t)0x73ccb75d, + (q31_t)0x73ca09e0, (q31_t)0x73c75c1c, (q31_t)0x73c4ae10, (q31_t)0x73c1ffbc, (q31_t)0x73bf5121, (q31_t)0x73bca23f, + (q31_t)0x73b9f315, (q31_t)0x73b743a4, + (q31_t)0x73b493ec, (q31_t)0x73b1e3ec, (q31_t)0x73af33a5, (q31_t)0x73ac8316, (q31_t)0x73a9d240, (q31_t)0x73a72123, + (q31_t)0x73a46fbf, (q31_t)0x73a1be13, + (q31_t)0x739f0c20, (q31_t)0x739c59e5, (q31_t)0x7399a763, (q31_t)0x7396f49a, (q31_t)0x73944189, (q31_t)0x73918e32, + (q31_t)0x738eda93, (q31_t)0x738c26ac, + (q31_t)0x7389727f, (q31_t)0x7386be0a, (q31_t)0x7384094e, (q31_t)0x7381544a, (q31_t)0x737e9f00, (q31_t)0x737be96e, + (q31_t)0x73793395, (q31_t)0x73767d74, + (q31_t)0x7373c70d, (q31_t)0x7371105e, (q31_t)0x736e5968, (q31_t)0x736ba22b, (q31_t)0x7368eaa6, (q31_t)0x736632db, + (q31_t)0x73637ac8, (q31_t)0x7360c26e, + (q31_t)0x735e09cd, (q31_t)0x735b50e4, (q31_t)0x735897b5, (q31_t)0x7355de3e, (q31_t)0x73532481, (q31_t)0x73506a7c, + (q31_t)0x734db030, (q31_t)0x734af59d, + (q31_t)0x73483ac2, (q31_t)0x73457fa1, (q31_t)0x7342c438, (q31_t)0x73400889, (q31_t)0x733d4c92, (q31_t)0x733a9054, + (q31_t)0x7337d3d0, (q31_t)0x73351704, + (q31_t)0x733259f1, (q31_t)0x732f9c97, (q31_t)0x732cdef6, (q31_t)0x732a210d, (q31_t)0x732762de, (q31_t)0x7324a468, + (q31_t)0x7321e5ab, (q31_t)0x731f26a7, + (q31_t)0x731c675b, (q31_t)0x7319a7c9, (q31_t)0x7316e7f0, (q31_t)0x731427cf, (q31_t)0x73116768, (q31_t)0x730ea6ba, + (q31_t)0x730be5c5, (q31_t)0x73092489, + (q31_t)0x73066306, (q31_t)0x7303a13b, (q31_t)0x7300df2a, (q31_t)0x72fe1cd2, (q31_t)0x72fb5a34, (q31_t)0x72f8974e, + (q31_t)0x72f5d421, (q31_t)0x72f310ad, + (q31_t)0x72f04cf3, (q31_t)0x72ed88f1, (q31_t)0x72eac4a9, (q31_t)0x72e8001a, (q31_t)0x72e53b44, (q31_t)0x72e27627, + (q31_t)0x72dfb0c3, (q31_t)0x72dceb18, + (q31_t)0x72da2526, (q31_t)0x72d75eee, (q31_t)0x72d4986f, (q31_t)0x72d1d1a9, (q31_t)0x72cf0a9c, (q31_t)0x72cc4348, + (q31_t)0x72c97bad, (q31_t)0x72c6b3cc, + (q31_t)0x72c3eba4, (q31_t)0x72c12335, (q31_t)0x72be5a7f, (q31_t)0x72bb9183, (q31_t)0x72b8c83f, (q31_t)0x72b5feb5, + (q31_t)0x72b334e4, (q31_t)0x72b06acd, + (q31_t)0x72ada06f, (q31_t)0x72aad5c9, (q31_t)0x72a80ade, (q31_t)0x72a53fab, (q31_t)0x72a27432, (q31_t)0x729fa872, + (q31_t)0x729cdc6b, (q31_t)0x729a101e, + (q31_t)0x7297438a, (q31_t)0x729476af, (q31_t)0x7291a98e, (q31_t)0x728edc26, (q31_t)0x728c0e77, (q31_t)0x72894082, + (q31_t)0x72867245, (q31_t)0x7283a3c3, + (q31_t)0x7280d4f9, (q31_t)0x727e05e9, (q31_t)0x727b3693, (q31_t)0x727866f6, (q31_t)0x72759712, (q31_t)0x7272c6e7, + (q31_t)0x726ff676, (q31_t)0x726d25bf, + (q31_t)0x726a54c1, (q31_t)0x7267837c, (q31_t)0x7264b1f0, (q31_t)0x7261e01e, (q31_t)0x725f0e06, (q31_t)0x725c3ba7, + (q31_t)0x72596901, (q31_t)0x72569615, + (q31_t)0x7253c2e3, (q31_t)0x7250ef6a, (q31_t)0x724e1baa, (q31_t)0x724b47a4, (q31_t)0x72487357, (q31_t)0x72459ec4, + (q31_t)0x7242c9ea, (q31_t)0x723ff4ca, + (q31_t)0x723d1f63, (q31_t)0x723a49b6, (q31_t)0x723773c3, (q31_t)0x72349d89, (q31_t)0x7231c708, (q31_t)0x722ef041, + (q31_t)0x722c1934, (q31_t)0x722941e0, + (q31_t)0x72266a46, (q31_t)0x72239266, (q31_t)0x7220ba3f, (q31_t)0x721de1d1, (q31_t)0x721b091d, (q31_t)0x72183023, + (q31_t)0x721556e3, (q31_t)0x72127d5c, + (q31_t)0x720fa38e, (q31_t)0x720cc97b, (q31_t)0x7209ef21, (q31_t)0x72071480, (q31_t)0x7204399a, (q31_t)0x72015e6d, + (q31_t)0x71fe82f9, (q31_t)0x71fba740, + (q31_t)0x71f8cb40, (q31_t)0x71f5eefa, (q31_t)0x71f3126d, (q31_t)0x71f0359a, (q31_t)0x71ed5881, (q31_t)0x71ea7b22, + (q31_t)0x71e79d7c, (q31_t)0x71e4bf90, + (q31_t)0x71e1e15e, (q31_t)0x71df02e5, (q31_t)0x71dc2427, (q31_t)0x71d94522, (q31_t)0x71d665d6, (q31_t)0x71d38645, + (q31_t)0x71d0a66d, (q31_t)0x71cdc650, + (q31_t)0x71cae5ec, (q31_t)0x71c80542, (q31_t)0x71c52451, (q31_t)0x71c2431b, (q31_t)0x71bf619e, (q31_t)0x71bc7fdb, + (q31_t)0x71b99dd2, (q31_t)0x71b6bb83, + (q31_t)0x71b3d8ed, (q31_t)0x71b0f612, (q31_t)0x71ae12f0, (q31_t)0x71ab2f89, (q31_t)0x71a84bdb, (q31_t)0x71a567e7, + (q31_t)0x71a283ad, (q31_t)0x719f9f2c, + (q31_t)0x719cba66, (q31_t)0x7199d55a, (q31_t)0x7196f008, (q31_t)0x71940a6f, (q31_t)0x71912490, (q31_t)0x718e3e6c, + (q31_t)0x718b5801, (q31_t)0x71887151, + (q31_t)0x71858a5a, (q31_t)0x7182a31d, (q31_t)0x717fbb9a, (q31_t)0x717cd3d2, (q31_t)0x7179ebc3, (q31_t)0x7177036e, + (q31_t)0x71741ad3, (q31_t)0x717131f3, + (q31_t)0x716e48cc, (q31_t)0x716b5f5f, (q31_t)0x716875ad, (q31_t)0x71658bb4, (q31_t)0x7162a175, (q31_t)0x715fb6f1, + (q31_t)0x715ccc26, (q31_t)0x7159e116, + (q31_t)0x7156f5c0, (q31_t)0x71540a24, (q31_t)0x71511e42, (q31_t)0x714e321a, (q31_t)0x714b45ac, (q31_t)0x714858f8, + (q31_t)0x71456bfe, (q31_t)0x71427ebf, + (q31_t)0x713f9139, (q31_t)0x713ca36e, (q31_t)0x7139b55d, (q31_t)0x7136c706, (q31_t)0x7133d869, (q31_t)0x7130e987, + (q31_t)0x712dfa5e, (q31_t)0x712b0af0, + (q31_t)0x71281b3c, (q31_t)0x71252b42, (q31_t)0x71223b02, (q31_t)0x711f4a7d, (q31_t)0x711c59b2, (q31_t)0x711968a1, + (q31_t)0x7116774a, (q31_t)0x711385ad, + (q31_t)0x711093cb, (q31_t)0x710da1a3, (q31_t)0x710aaf35, (q31_t)0x7107bc82, (q31_t)0x7104c989, (q31_t)0x7101d64a, + (q31_t)0x70fee2c5, (q31_t)0x70fbeefb, + (q31_t)0x70f8faeb, (q31_t)0x70f60695, (q31_t)0x70f311fa, (q31_t)0x70f01d19, (q31_t)0x70ed27f2, (q31_t)0x70ea3286, + (q31_t)0x70e73cd4, (q31_t)0x70e446dc, + (q31_t)0x70e1509f, (q31_t)0x70de5a1c, (q31_t)0x70db6353, (q31_t)0x70d86c45, (q31_t)0x70d574f1, (q31_t)0x70d27d58, + (q31_t)0x70cf8579, (q31_t)0x70cc8d54, + (q31_t)0x70c994ea, (q31_t)0x70c69c3a, (q31_t)0x70c3a345, (q31_t)0x70c0aa0a, (q31_t)0x70bdb08a, (q31_t)0x70bab6c4, + (q31_t)0x70b7bcb8, (q31_t)0x70b4c267, + (q31_t)0x70b1c7d1, (q31_t)0x70aeccf5, (q31_t)0x70abd1d3, (q31_t)0x70a8d66c, (q31_t)0x70a5dac0, (q31_t)0x70a2dece, + (q31_t)0x709fe296, (q31_t)0x709ce619, + (q31_t)0x7099e957, (q31_t)0x7096ec4f, (q31_t)0x7093ef01, (q31_t)0x7090f16e, (q31_t)0x708df396, (q31_t)0x708af579, + (q31_t)0x7087f715, (q31_t)0x7084f86d, + (q31_t)0x7081f97f, (q31_t)0x707efa4c, (q31_t)0x707bfad3, (q31_t)0x7078fb15, (q31_t)0x7075fb11, (q31_t)0x7072fac9, + (q31_t)0x706ffa3a, (q31_t)0x706cf967, + (q31_t)0x7069f84e, (q31_t)0x7066f6f0, (q31_t)0x7063f54c, (q31_t)0x7060f363, (q31_t)0x705df135, (q31_t)0x705aeec1, + (q31_t)0x7057ec08, (q31_t)0x7054e90a, + (q31_t)0x7051e5c7, (q31_t)0x704ee23e, (q31_t)0x704bde70, (q31_t)0x7048da5d, (q31_t)0x7045d604, (q31_t)0x7042d166, + (q31_t)0x703fcc83, (q31_t)0x703cc75b, + (q31_t)0x7039c1ed, (q31_t)0x7036bc3b, (q31_t)0x7033b643, (q31_t)0x7030b005, (q31_t)0x702da983, (q31_t)0x702aa2bb, + (q31_t)0x70279baf, (q31_t)0x7024945d, + (q31_t)0x70218cc6, (q31_t)0x701e84e9, (q31_t)0x701b7cc8, (q31_t)0x70187461, (q31_t)0x70156bb5, (q31_t)0x701262c4, + (q31_t)0x700f598e, (q31_t)0x700c5013, + (q31_t)0x70094653, (q31_t)0x70063c4e, (q31_t)0x70033203, (q31_t)0x70002774, (q31_t)0x6ffd1c9f, (q31_t)0x6ffa1185, + (q31_t)0x6ff70626, (q31_t)0x6ff3fa82, + (q31_t)0x6ff0ee99, (q31_t)0x6fede26b, (q31_t)0x6fead5f8, (q31_t)0x6fe7c940, (q31_t)0x6fe4bc43, (q31_t)0x6fe1af01, + (q31_t)0x6fdea17a, (q31_t)0x6fdb93ae, + (q31_t)0x6fd8859d, (q31_t)0x6fd57746, (q31_t)0x6fd268ab, (q31_t)0x6fcf59cb, (q31_t)0x6fcc4aa6, (q31_t)0x6fc93b3c, + (q31_t)0x6fc62b8d, (q31_t)0x6fc31b99, + (q31_t)0x6fc00b60, (q31_t)0x6fbcfae2, (q31_t)0x6fb9ea20, (q31_t)0x6fb6d918, (q31_t)0x6fb3c7cb, (q31_t)0x6fb0b63a, + (q31_t)0x6fada464, (q31_t)0x6faa9248, + (q31_t)0x6fa77fe8, (q31_t)0x6fa46d43, (q31_t)0x6fa15a59, (q31_t)0x6f9e472b, (q31_t)0x6f9b33b7, (q31_t)0x6f981fff, + (q31_t)0x6f950c01, (q31_t)0x6f91f7bf, + (q31_t)0x6f8ee338, (q31_t)0x6f8bce6c, (q31_t)0x6f88b95c, (q31_t)0x6f85a407, (q31_t)0x6f828e6c, (q31_t)0x6f7f788d, + (q31_t)0x6f7c626a, (q31_t)0x6f794c01, + (q31_t)0x6f763554, (q31_t)0x6f731e62, (q31_t)0x6f70072b, (q31_t)0x6f6cefb0, (q31_t)0x6f69d7f0, (q31_t)0x6f66bfeb, + (q31_t)0x6f63a7a1, (q31_t)0x6f608f13, + (q31_t)0x6f5d7640, (q31_t)0x6f5a5d28, (q31_t)0x6f5743cb, (q31_t)0x6f542a2a, (q31_t)0x6f511044, (q31_t)0x6f4df61a, + (q31_t)0x6f4adbab, (q31_t)0x6f47c0f7, + (q31_t)0x6f44a5ff, (q31_t)0x6f418ac2, (q31_t)0x6f3e6f40, (q31_t)0x6f3b537a, (q31_t)0x6f38376f, (q31_t)0x6f351b1f, + (q31_t)0x6f31fe8b, (q31_t)0x6f2ee1b2, + (q31_t)0x6f2bc495, (q31_t)0x6f28a733, (q31_t)0x6f25898d, (q31_t)0x6f226ba2, (q31_t)0x6f1f4d72, (q31_t)0x6f1c2efe, + (q31_t)0x6f191045, (q31_t)0x6f15f148, + (q31_t)0x6f12d206, (q31_t)0x6f0fb280, (q31_t)0x6f0c92b6, (q31_t)0x6f0972a6, (q31_t)0x6f065253, (q31_t)0x6f0331ba, + (q31_t)0x6f0010de, (q31_t)0x6efcefbd, + (q31_t)0x6ef9ce57, (q31_t)0x6ef6acad, (q31_t)0x6ef38abe, (q31_t)0x6ef0688b, (q31_t)0x6eed4614, (q31_t)0x6eea2358, + (q31_t)0x6ee70058, (q31_t)0x6ee3dd13, + (q31_t)0x6ee0b98a, (q31_t)0x6edd95bd, (q31_t)0x6eda71ab, (q31_t)0x6ed74d55, (q31_t)0x6ed428ba, (q31_t)0x6ed103db, + (q31_t)0x6ecddeb8, (q31_t)0x6ecab950, + (q31_t)0x6ec793a4, (q31_t)0x6ec46db4, (q31_t)0x6ec1477f, (q31_t)0x6ebe2106, (q31_t)0x6ebafa49, (q31_t)0x6eb7d347, + (q31_t)0x6eb4ac02, (q31_t)0x6eb18477, + (q31_t)0x6eae5ca9, (q31_t)0x6eab3496, (q31_t)0x6ea80c3f, (q31_t)0x6ea4e3a4, (q31_t)0x6ea1bac4, (q31_t)0x6e9e91a1, + (q31_t)0x6e9b6839, (q31_t)0x6e983e8d, + (q31_t)0x6e95149c, (q31_t)0x6e91ea67, (q31_t)0x6e8ebfef, (q31_t)0x6e8b9532, (q31_t)0x6e886a30, (q31_t)0x6e853eeb, + (q31_t)0x6e821361, (q31_t)0x6e7ee794, + (q31_t)0x6e7bbb82, (q31_t)0x6e788f2c, (q31_t)0x6e756291, (q31_t)0x6e7235b3, (q31_t)0x6e6f0890, (q31_t)0x6e6bdb2a, + (q31_t)0x6e68ad7f, (q31_t)0x6e657f90, + (q31_t)0x6e62515d, (q31_t)0x6e5f22e6, (q31_t)0x6e5bf42b, (q31_t)0x6e58c52c, (q31_t)0x6e5595e9, (q31_t)0x6e526662, + (q31_t)0x6e4f3696, (q31_t)0x6e4c0687, + (q31_t)0x6e48d633, (q31_t)0x6e45a59c, (q31_t)0x6e4274c1, (q31_t)0x6e3f43a1, (q31_t)0x6e3c123e, (q31_t)0x6e38e096, + (q31_t)0x6e35aeab, (q31_t)0x6e327c7b, + (q31_t)0x6e2f4a08, (q31_t)0x6e2c1750, (q31_t)0x6e28e455, (q31_t)0x6e25b115, (q31_t)0x6e227d92, (q31_t)0x6e1f49cb, + (q31_t)0x6e1c15c0, (q31_t)0x6e18e171, + (q31_t)0x6e15acde, (q31_t)0x6e127807, (q31_t)0x6e0f42ec, (q31_t)0x6e0c0d8e, (q31_t)0x6e08d7eb, (q31_t)0x6e05a205, + (q31_t)0x6e026bda, (q31_t)0x6dff356c, + (q31_t)0x6dfbfeba, (q31_t)0x6df8c7c4, (q31_t)0x6df5908b, (q31_t)0x6df2590d, (q31_t)0x6def214c, (q31_t)0x6debe947, + (q31_t)0x6de8b0fe, (q31_t)0x6de57871, + (q31_t)0x6de23fa0, (q31_t)0x6ddf068c, (q31_t)0x6ddbcd34, (q31_t)0x6dd89398, (q31_t)0x6dd559b9, (q31_t)0x6dd21f95, + (q31_t)0x6dcee52e, (q31_t)0x6dcbaa83, + (q31_t)0x6dc86f95, (q31_t)0x6dc53462, (q31_t)0x6dc1f8ec, (q31_t)0x6dbebd33, (q31_t)0x6dbb8135, (q31_t)0x6db844f4, + (q31_t)0x6db5086f, (q31_t)0x6db1cba7, + (q31_t)0x6dae8e9b, (q31_t)0x6dab514b, (q31_t)0x6da813b8, (q31_t)0x6da4d5e1, (q31_t)0x6da197c6, (q31_t)0x6d9e5968, + (q31_t)0x6d9b1ac6, (q31_t)0x6d97dbe0, + (q31_t)0x6d949cb7, (q31_t)0x6d915d4a, (q31_t)0x6d8e1d9a, (q31_t)0x6d8adda6, (q31_t)0x6d879d6e, (q31_t)0x6d845cf3, + (q31_t)0x6d811c35, (q31_t)0x6d7ddb33, + (q31_t)0x6d7a99ed, (q31_t)0x6d775864, (q31_t)0x6d741697, (q31_t)0x6d70d487, (q31_t)0x6d6d9233, (q31_t)0x6d6a4f9c, + (q31_t)0x6d670cc1, (q31_t)0x6d63c9a3, + (q31_t)0x6d608641, (q31_t)0x6d5d429c, (q31_t)0x6d59feb3, (q31_t)0x6d56ba87, (q31_t)0x6d537617, (q31_t)0x6d503164, + (q31_t)0x6d4cec6e, (q31_t)0x6d49a734, + (q31_t)0x6d4661b7, (q31_t)0x6d431bf6, (q31_t)0x6d3fd5f2, (q31_t)0x6d3c8fab, (q31_t)0x6d394920, (q31_t)0x6d360252, + (q31_t)0x6d32bb40, (q31_t)0x6d2f73eb, + (q31_t)0x6d2c2c53, (q31_t)0x6d28e477, (q31_t)0x6d259c58, (q31_t)0x6d2253f6, (q31_t)0x6d1f0b50, (q31_t)0x6d1bc267, + (q31_t)0x6d18793b, (q31_t)0x6d152fcc, + (q31_t)0x6d11e619, (q31_t)0x6d0e9c23, (q31_t)0x6d0b51e9, (q31_t)0x6d08076d, (q31_t)0x6d04bcad, (q31_t)0x6d0171aa, + (q31_t)0x6cfe2663, (q31_t)0x6cfadada, + (q31_t)0x6cf78f0d, (q31_t)0x6cf442fd, (q31_t)0x6cf0f6aa, (q31_t)0x6cedaa13, (q31_t)0x6cea5d3a, (q31_t)0x6ce7101d, + (q31_t)0x6ce3c2bd, (q31_t)0x6ce0751a, + (q31_t)0x6cdd2733, (q31_t)0x6cd9d90a, (q31_t)0x6cd68a9d, (q31_t)0x6cd33bed, (q31_t)0x6ccfecfa, (q31_t)0x6ccc9dc4, + (q31_t)0x6cc94e4b, (q31_t)0x6cc5fe8f, + (q31_t)0x6cc2ae90, (q31_t)0x6cbf5e4d, (q31_t)0x6cbc0dc8, (q31_t)0x6cb8bcff, (q31_t)0x6cb56bf4, (q31_t)0x6cb21aa5, + (q31_t)0x6caec913, (q31_t)0x6cab773e, + (q31_t)0x6ca82527, (q31_t)0x6ca4d2cc, (q31_t)0x6ca1802e, (q31_t)0x6c9e2d4d, (q31_t)0x6c9ada29, (q31_t)0x6c9786c2, + (q31_t)0x6c943318, (q31_t)0x6c90df2c, + (q31_t)0x6c8d8afc, (q31_t)0x6c8a3689, (q31_t)0x6c86e1d3, (q31_t)0x6c838cdb, (q31_t)0x6c80379f, (q31_t)0x6c7ce220, + (q31_t)0x6c798c5f, (q31_t)0x6c76365b, + (q31_t)0x6c72e013, (q31_t)0x6c6f8989, (q31_t)0x6c6c32bc, (q31_t)0x6c68dbac, (q31_t)0x6c658459, (q31_t)0x6c622cc4, + (q31_t)0x6c5ed4eb, (q31_t)0x6c5b7cd0, + (q31_t)0x6c582472, (q31_t)0x6c54cbd1, (q31_t)0x6c5172ed, (q31_t)0x6c4e19c6, (q31_t)0x6c4ac05d, (q31_t)0x6c4766b0, + (q31_t)0x6c440cc1, (q31_t)0x6c40b28f, + (q31_t)0x6c3d581b, (q31_t)0x6c39fd63, (q31_t)0x6c36a269, (q31_t)0x6c33472c, (q31_t)0x6c2febad, (q31_t)0x6c2c8fea, + (q31_t)0x6c2933e5, (q31_t)0x6c25d79d, + (q31_t)0x6c227b13, (q31_t)0x6c1f1e45, (q31_t)0x6c1bc136, (q31_t)0x6c1863e3, (q31_t)0x6c15064e, (q31_t)0x6c11a876, + (q31_t)0x6c0e4a5b, (q31_t)0x6c0aebfe, + (q31_t)0x6c078d5e, (q31_t)0x6c042e7b, (q31_t)0x6c00cf56, (q31_t)0x6bfd6fee, (q31_t)0x6bfa1044, (q31_t)0x6bf6b056, + (q31_t)0x6bf35027, (q31_t)0x6befefb5, + (q31_t)0x6bec8f00, (q31_t)0x6be92e08, (q31_t)0x6be5ccce, (q31_t)0x6be26b52, (q31_t)0x6bdf0993, (q31_t)0x6bdba791, + (q31_t)0x6bd8454d, (q31_t)0x6bd4e2c6, + (q31_t)0x6bd17ffd, (q31_t)0x6bce1cf1, (q31_t)0x6bcab9a3, (q31_t)0x6bc75613, (q31_t)0x6bc3f23f, (q31_t)0x6bc08e2a, + (q31_t)0x6bbd29d2, (q31_t)0x6bb9c537, + (q31_t)0x6bb6605a, (q31_t)0x6bb2fb3b, (q31_t)0x6baf95d9, (q31_t)0x6bac3034, (q31_t)0x6ba8ca4e, (q31_t)0x6ba56425, + (q31_t)0x6ba1fdb9, (q31_t)0x6b9e970b, + (q31_t)0x6b9b301b, (q31_t)0x6b97c8e8, (q31_t)0x6b946173, (q31_t)0x6b90f9bc, (q31_t)0x6b8d91c2, (q31_t)0x6b8a2986, + (q31_t)0x6b86c107, (q31_t)0x6b835846, + (q31_t)0x6b7fef43, (q31_t)0x6b7c85fe, (q31_t)0x6b791c76, (q31_t)0x6b75b2ac, (q31_t)0x6b7248a0, (q31_t)0x6b6ede51, + (q31_t)0x6b6b73c0, (q31_t)0x6b6808ed, + (q31_t)0x6b649dd8, (q31_t)0x6b613280, (q31_t)0x6b5dc6e6, (q31_t)0x6b5a5b0a, (q31_t)0x6b56eeec, (q31_t)0x6b53828b, + (q31_t)0x6b5015e9, (q31_t)0x6b4ca904, + (q31_t)0x6b493bdd, (q31_t)0x6b45ce73, (q31_t)0x6b4260c8, (q31_t)0x6b3ef2da, (q31_t)0x6b3b84ab, (q31_t)0x6b381639, + (q31_t)0x6b34a785, (q31_t)0x6b31388e, + (q31_t)0x6b2dc956, (q31_t)0x6b2a59dc, (q31_t)0x6b26ea1f, (q31_t)0x6b237a21, (q31_t)0x6b2009e0, (q31_t)0x6b1c995d, + (q31_t)0x6b192898, (q31_t)0x6b15b791, + (q31_t)0x6b124648, (q31_t)0x6b0ed4bd, (q31_t)0x6b0b62f0, (q31_t)0x6b07f0e1, (q31_t)0x6b047e90, (q31_t)0x6b010bfd, + (q31_t)0x6afd9928, (q31_t)0x6afa2610, + (q31_t)0x6af6b2b7, (q31_t)0x6af33f1c, (q31_t)0x6aefcb3f, (q31_t)0x6aec5720, (q31_t)0x6ae8e2bf, (q31_t)0x6ae56e1c, + (q31_t)0x6ae1f937, (q31_t)0x6ade8410, + (q31_t)0x6adb0ea8, (q31_t)0x6ad798fd, (q31_t)0x6ad42311, (q31_t)0x6ad0ace2, (q31_t)0x6acd3672, (q31_t)0x6ac9bfc0, + (q31_t)0x6ac648cb, (q31_t)0x6ac2d195, + (q31_t)0x6abf5a1e, (q31_t)0x6abbe264, (q31_t)0x6ab86a68, (q31_t)0x6ab4f22b, (q31_t)0x6ab179ac, (q31_t)0x6aae00eb, + (q31_t)0x6aaa87e8, (q31_t)0x6aa70ea4, + (q31_t)0x6aa3951d, (q31_t)0x6aa01b55, (q31_t)0x6a9ca14b, (q31_t)0x6a992700, (q31_t)0x6a95ac72, (q31_t)0x6a9231a3, + (q31_t)0x6a8eb692, (q31_t)0x6a8b3b3f, + (q31_t)0x6a87bfab, (q31_t)0x6a8443d5, (q31_t)0x6a80c7bd, (q31_t)0x6a7d4b64, (q31_t)0x6a79cec8, (q31_t)0x6a7651ec, + (q31_t)0x6a72d4cd, (q31_t)0x6a6f576d, + (q31_t)0x6a6bd9cb, (q31_t)0x6a685be8, (q31_t)0x6a64ddc2, (q31_t)0x6a615f5c, (q31_t)0x6a5de0b3, (q31_t)0x6a5a61c9, + (q31_t)0x6a56e29e, (q31_t)0x6a536331, + (q31_t)0x6a4fe382, (q31_t)0x6a4c6391, (q31_t)0x6a48e360, (q31_t)0x6a4562ec, (q31_t)0x6a41e237, (q31_t)0x6a3e6140, + (q31_t)0x6a3ae008, (q31_t)0x6a375e8f, + (q31_t)0x6a33dcd4, (q31_t)0x6a305ad7, (q31_t)0x6a2cd899, (q31_t)0x6a295619, (q31_t)0x6a25d358, (q31_t)0x6a225055, + (q31_t)0x6a1ecd11, (q31_t)0x6a1b498c, + (q31_t)0x6a17c5c5, (q31_t)0x6a1441bc, (q31_t)0x6a10bd72, (q31_t)0x6a0d38e7, (q31_t)0x6a09b41a, (q31_t)0x6a062f0c, + (q31_t)0x6a02a9bc, (q31_t)0x69ff242b, + (q31_t)0x69fb9e59, (q31_t)0x69f81845, (q31_t)0x69f491f0, (q31_t)0x69f10b5a, (q31_t)0x69ed8482, (q31_t)0x69e9fd69, + (q31_t)0x69e6760f, (q31_t)0x69e2ee73, + (q31_t)0x69df6696, (q31_t)0x69dbde77, (q31_t)0x69d85618, (q31_t)0x69d4cd77, (q31_t)0x69d14494, (q31_t)0x69cdbb71, + (q31_t)0x69ca320c, (q31_t)0x69c6a866, + (q31_t)0x69c31e7f, (q31_t)0x69bf9456, (q31_t)0x69bc09ec, (q31_t)0x69b87f41, (q31_t)0x69b4f455, (q31_t)0x69b16928, + (q31_t)0x69adddb9, (q31_t)0x69aa5209, + (q31_t)0x69a6c618, (q31_t)0x69a339e6, (q31_t)0x699fad73, (q31_t)0x699c20be, (q31_t)0x699893c9, (q31_t)0x69950692, + (q31_t)0x6991791a, (q31_t)0x698deb61, + (q31_t)0x698a5d67, (q31_t)0x6986cf2c, (q31_t)0x698340af, (q31_t)0x697fb1f2, (q31_t)0x697c22f3, (q31_t)0x697893b4, + (q31_t)0x69750433, (q31_t)0x69717472, + (q31_t)0x696de46f, (q31_t)0x696a542b, (q31_t)0x6966c3a6, (q31_t)0x696332e1, (q31_t)0x695fa1da, (q31_t)0x695c1092, + (q31_t)0x69587f09, (q31_t)0x6954ed40, + (q31_t)0x69515b35, (q31_t)0x694dc8e9, (q31_t)0x694a365c, (q31_t)0x6946a38f, (q31_t)0x69431080, (q31_t)0x693f7d31, + (q31_t)0x693be9a0, (q31_t)0x693855cf, + (q31_t)0x6934c1bd, (q31_t)0x69312d6a, (q31_t)0x692d98d6, (q31_t)0x692a0401, (q31_t)0x69266eeb, (q31_t)0x6922d995, + (q31_t)0x691f43fd, (q31_t)0x691bae25, + (q31_t)0x6918180c, (q31_t)0x691481b2, (q31_t)0x6910eb17, (q31_t)0x690d543b, (q31_t)0x6909bd1f, (q31_t)0x690625c2, + (q31_t)0x69028e24, (q31_t)0x68fef645, + (q31_t)0x68fb5e25, (q31_t)0x68f7c5c5, (q31_t)0x68f42d24, (q31_t)0x68f09442, (q31_t)0x68ecfb20, (q31_t)0x68e961bd, + (q31_t)0x68e5c819, (q31_t)0x68e22e34, + (q31_t)0x68de940f, (q31_t)0x68daf9a9, (q31_t)0x68d75f02, (q31_t)0x68d3c41b, (q31_t)0x68d028f2, (q31_t)0x68cc8d8a, + (q31_t)0x68c8f1e0, (q31_t)0x68c555f6, + (q31_t)0x68c1b9cc, (q31_t)0x68be1d61, (q31_t)0x68ba80b5, (q31_t)0x68b6e3c8, (q31_t)0x68b3469b, (q31_t)0x68afa92e, + (q31_t)0x68ac0b7f, (q31_t)0x68a86d91, + (q31_t)0x68a4cf61, (q31_t)0x68a130f1, (q31_t)0x689d9241, (q31_t)0x6899f350, (q31_t)0x6896541f, (q31_t)0x6892b4ad, + (q31_t)0x688f14fa, (q31_t)0x688b7507, + (q31_t)0x6887d4d4, (q31_t)0x68843460, (q31_t)0x688093ab, (q31_t)0x687cf2b6, (q31_t)0x68795181, (q31_t)0x6875b00b, + (q31_t)0x68720e55, (q31_t)0x686e6c5e, + (q31_t)0x686aca27, (q31_t)0x686727b0, (q31_t)0x686384f8, (q31_t)0x685fe200, (q31_t)0x685c3ec7, (q31_t)0x68589b4e, + (q31_t)0x6854f795, (q31_t)0x6851539b, + (q31_t)0x684daf61, (q31_t)0x684a0ae6, (q31_t)0x6846662c, (q31_t)0x6842c131, (q31_t)0x683f1bf5, (q31_t)0x683b7679, + (q31_t)0x6837d0bd, (q31_t)0x68342ac1, + (q31_t)0x68308485, (q31_t)0x682cde08, (q31_t)0x6829374b, (q31_t)0x6825904d, (q31_t)0x6821e910, (q31_t)0x681e4192, + (q31_t)0x681a99d4, (q31_t)0x6816f1d6, + (q31_t)0x68134997, (q31_t)0x680fa118, (q31_t)0x680bf85a, (q31_t)0x68084f5a, (q31_t)0x6804a61b, (q31_t)0x6800fc9c, + (q31_t)0x67fd52dc, (q31_t)0x67f9a8dd, + (q31_t)0x67f5fe9d, (q31_t)0x67f2541d, (q31_t)0x67eea95d, (q31_t)0x67eafe5d, (q31_t)0x67e7531c, (q31_t)0x67e3a79c, + (q31_t)0x67dffbdc, (q31_t)0x67dc4fdb, + (q31_t)0x67d8a39a, (q31_t)0x67d4f71a, (q31_t)0x67d14a59, (q31_t)0x67cd9d58, (q31_t)0x67c9f017, (q31_t)0x67c64297, + (q31_t)0x67c294d6, (q31_t)0x67bee6d5, + (q31_t)0x67bb3894, (q31_t)0x67b78a13, (q31_t)0x67b3db53, (q31_t)0x67b02c52, (q31_t)0x67ac7d11, (q31_t)0x67a8cd91, + (q31_t)0x67a51dd0, (q31_t)0x67a16dcf, + (q31_t)0x679dbd8f, (q31_t)0x679a0d0f, (q31_t)0x67965c4e, (q31_t)0x6792ab4e, (q31_t)0x678efa0e, (q31_t)0x678b488e, + (q31_t)0x678796ce, (q31_t)0x6783e4cf, + (q31_t)0x6780328f, (q31_t)0x677c8010, (q31_t)0x6778cd50, (q31_t)0x67751a51, (q31_t)0x67716713, (q31_t)0x676db394, + (q31_t)0x6769ffd5, (q31_t)0x67664bd7, + (q31_t)0x67629799, (q31_t)0x675ee31b, (q31_t)0x675b2e5e, (q31_t)0x67577960, (q31_t)0x6753c423, (q31_t)0x67500ea7, + (q31_t)0x674c58ea, (q31_t)0x6748a2ee, + (q31_t)0x6744ecb2, (q31_t)0x67413636, (q31_t)0x673d7f7b, (q31_t)0x6739c880, (q31_t)0x67361145, (q31_t)0x673259ca, + (q31_t)0x672ea210, (q31_t)0x672aea17, + (q31_t)0x672731dd, (q31_t)0x67237964, (q31_t)0x671fc0ac, (q31_t)0x671c07b4, (q31_t)0x67184e7c, (q31_t)0x67149504, + (q31_t)0x6710db4d, (q31_t)0x670d2157, + (q31_t)0x67096721, (q31_t)0x6705acab, (q31_t)0x6701f1f6, (q31_t)0x66fe3701, (q31_t)0x66fa7bcd, (q31_t)0x66f6c059, + (q31_t)0x66f304a6, (q31_t)0x66ef48b3, + (q31_t)0x66eb8c80, (q31_t)0x66e7d00f, (q31_t)0x66e4135d, (q31_t)0x66e0566c, (q31_t)0x66dc993c, (q31_t)0x66d8dbcd, + (q31_t)0x66d51e1d, (q31_t)0x66d1602f, + (q31_t)0x66cda201, (q31_t)0x66c9e393, (q31_t)0x66c624e7, (q31_t)0x66c265fa, (q31_t)0x66bea6cf, (q31_t)0x66bae764, + (q31_t)0x66b727ba, (q31_t)0x66b367d0, + (q31_t)0x66afa7a7, (q31_t)0x66abe73f, (q31_t)0x66a82697, (q31_t)0x66a465b0, (q31_t)0x66a0a489, (q31_t)0x669ce324, + (q31_t)0x6699217f, (q31_t)0x66955f9b, + (q31_t)0x66919d77, (q31_t)0x668ddb14, (q31_t)0x668a1872, (q31_t)0x66865591, (q31_t)0x66829270, (q31_t)0x667ecf11, + (q31_t)0x667b0b72, (q31_t)0x66774793, + (q31_t)0x66738376, (q31_t)0x666fbf19, (q31_t)0x666bfa7d, (q31_t)0x666835a2, (q31_t)0x66647088, (q31_t)0x6660ab2f, + (q31_t)0x665ce596, (q31_t)0x66591fbf, + (q31_t)0x665559a8, (q31_t)0x66519352, (q31_t)0x664dccbd, (q31_t)0x664a05e9, (q31_t)0x66463ed6, (q31_t)0x66427784, + (q31_t)0x663eaff2, (q31_t)0x663ae822, + (q31_t)0x66372012, (q31_t)0x663357c4, (q31_t)0x662f8f36, (q31_t)0x662bc66a, (q31_t)0x6627fd5e, (q31_t)0x66243413, + (q31_t)0x66206a8a, (q31_t)0x661ca0c1, + (q31_t)0x6618d6b9, (q31_t)0x66150c73, (q31_t)0x661141ed, (q31_t)0x660d7729, (q31_t)0x6609ac25, (q31_t)0x6605e0e3, + (q31_t)0x66021561, (q31_t)0x65fe49a1, + (q31_t)0x65fa7da2, (q31_t)0x65f6b164, (q31_t)0x65f2e4e7, (q31_t)0x65ef182b, (q31_t)0x65eb4b30, (q31_t)0x65e77df6, + (q31_t)0x65e3b07e, (q31_t)0x65dfe2c6, + (q31_t)0x65dc14d0, (q31_t)0x65d8469b, (q31_t)0x65d47827, (q31_t)0x65d0a975, (q31_t)0x65ccda83, (q31_t)0x65c90b53, + (q31_t)0x65c53be4, (q31_t)0x65c16c36, + (q31_t)0x65bd9c49, (q31_t)0x65b9cc1e, (q31_t)0x65b5fbb4, (q31_t)0x65b22b0b, (q31_t)0x65ae5a23, (q31_t)0x65aa88fd, + (q31_t)0x65a6b798, (q31_t)0x65a2e5f4, + (q31_t)0x659f1412, (q31_t)0x659b41f1, (q31_t)0x65976f91, (q31_t)0x65939cf3, (q31_t)0x658fca15, (q31_t)0x658bf6fa, + (q31_t)0x6588239f, (q31_t)0x65845006, + (q31_t)0x65807c2f, (q31_t)0x657ca818, (q31_t)0x6578d3c4, (q31_t)0x6574ff30, (q31_t)0x65712a5e, (q31_t)0x656d554d, + (q31_t)0x65697ffe, (q31_t)0x6565aa71, + (q31_t)0x6561d4a4, (q31_t)0x655dfe99, (q31_t)0x655a2850, (q31_t)0x655651c8, (q31_t)0x65527b02, (q31_t)0x654ea3fd, + (q31_t)0x654accba, (q31_t)0x6546f538, + (q31_t)0x65431d77, (q31_t)0x653f4579, (q31_t)0x653b6d3b, (q31_t)0x653794c0, (q31_t)0x6533bc06, (q31_t)0x652fe30d, + (q31_t)0x652c09d6, (q31_t)0x65283061, + (q31_t)0x652456ad, (q31_t)0x65207cbb, (q31_t)0x651ca28a, (q31_t)0x6518c81b, (q31_t)0x6514ed6e, (q31_t)0x65111283, + (q31_t)0x650d3759, (q31_t)0x65095bf0, + (q31_t)0x6505804a, (q31_t)0x6501a465, (q31_t)0x64fdc841, (q31_t)0x64f9ebe0, (q31_t)0x64f60f40, (q31_t)0x64f23262, + (q31_t)0x64ee5546, (q31_t)0x64ea77eb, + (q31_t)0x64e69a52, (q31_t)0x64e2bc7b, (q31_t)0x64dede66, (q31_t)0x64db0012, (q31_t)0x64d72180, (q31_t)0x64d342b0, + (q31_t)0x64cf63a2, (q31_t)0x64cb8456, + (q31_t)0x64c7a4cb, (q31_t)0x64c3c502, (q31_t)0x64bfe4fc, (q31_t)0x64bc04b6, (q31_t)0x64b82433, (q31_t)0x64b44372, + (q31_t)0x64b06273, (q31_t)0x64ac8135, + (q31_t)0x64a89fba, (q31_t)0x64a4be00, (q31_t)0x64a0dc08, (q31_t)0x649cf9d2, (q31_t)0x6499175e, (q31_t)0x649534ac, + (q31_t)0x649151bc, (q31_t)0x648d6e8e, + (q31_t)0x64898b22, (q31_t)0x6485a778, (q31_t)0x6481c390, (q31_t)0x647ddf6a, (q31_t)0x6479fb06, (q31_t)0x64761664, + (q31_t)0x64723184, (q31_t)0x646e4c66, + (q31_t)0x646a670a, (q31_t)0x64668170, (q31_t)0x64629b98, (q31_t)0x645eb582, (q31_t)0x645acf2e, (q31_t)0x6456e89d, + (q31_t)0x645301cd, (q31_t)0x644f1ac0, + (q31_t)0x644b3375, (q31_t)0x64474bec, (q31_t)0x64436425, (q31_t)0x643f7c20, (q31_t)0x643b93dd, (q31_t)0x6437ab5d, + (q31_t)0x6433c29f, (q31_t)0x642fd9a3, + (q31_t)0x642bf069, (q31_t)0x642806f1, (q31_t)0x64241d3c, (q31_t)0x64203348, (q31_t)0x641c4917, (q31_t)0x64185ea9, + (q31_t)0x641473fc, (q31_t)0x64108912, + (q31_t)0x640c9dea, (q31_t)0x6408b284, (q31_t)0x6404c6e1, (q31_t)0x6400db00, (q31_t)0x63fceee1, (q31_t)0x63f90285, + (q31_t)0x63f515eb, (q31_t)0x63f12913, + (q31_t)0x63ed3bfd, (q31_t)0x63e94eaa, (q31_t)0x63e5611a, (q31_t)0x63e1734b, (q31_t)0x63dd853f, (q31_t)0x63d996f6, + (q31_t)0x63d5a86f, (q31_t)0x63d1b9aa, + (q31_t)0x63cdcaa8, (q31_t)0x63c9db68, (q31_t)0x63c5ebeb, (q31_t)0x63c1fc30, (q31_t)0x63be0c37, (q31_t)0x63ba1c01, + (q31_t)0x63b62b8e, (q31_t)0x63b23add, + (q31_t)0x63ae49ee, (q31_t)0x63aa58c2, (q31_t)0x63a66759, (q31_t)0x63a275b2, (q31_t)0x639e83cd, (q31_t)0x639a91ac, + (q31_t)0x63969f4c, (q31_t)0x6392acaf, + (q31_t)0x638eb9d5, (q31_t)0x638ac6be, (q31_t)0x6386d369, (q31_t)0x6382dfd6, (q31_t)0x637eec07, (q31_t)0x637af7fa, + (q31_t)0x637703af, (q31_t)0x63730f27, + (q31_t)0x636f1a62, (q31_t)0x636b2560, (q31_t)0x63673020, (q31_t)0x63633aa3, (q31_t)0x635f44e8, (q31_t)0x635b4ef0, + (q31_t)0x635758bb, (q31_t)0x63536249, + (q31_t)0x634f6b99, (q31_t)0x634b74ad, (q31_t)0x63477d82, (q31_t)0x6343861b, (q31_t)0x633f8e76, (q31_t)0x633b9695, + (q31_t)0x63379e76, (q31_t)0x6333a619, + (q31_t)0x632fad80, (q31_t)0x632bb4a9, (q31_t)0x6327bb96, (q31_t)0x6323c245, (q31_t)0x631fc8b7, (q31_t)0x631bceeb, + (q31_t)0x6317d4e3, (q31_t)0x6313da9e, + (q31_t)0x630fe01b, (q31_t)0x630be55b, (q31_t)0x6307ea5e, (q31_t)0x6303ef25, (q31_t)0x62fff3ae, (q31_t)0x62fbf7fa, + (q31_t)0x62f7fc08, (q31_t)0x62f3ffda, + (q31_t)0x62f0036f, (q31_t)0x62ec06c7, (q31_t)0x62e809e2, (q31_t)0x62e40cbf, (q31_t)0x62e00f60, (q31_t)0x62dc11c4, + (q31_t)0x62d813eb, (q31_t)0x62d415d4, + (q31_t)0x62d01781, (q31_t)0x62cc18f1, (q31_t)0x62c81a24, (q31_t)0x62c41b1a, (q31_t)0x62c01bd3, (q31_t)0x62bc1c4f, + (q31_t)0x62b81c8f, (q31_t)0x62b41c91, + (q31_t)0x62b01c57, (q31_t)0x62ac1bdf, (q31_t)0x62a81b2b, (q31_t)0x62a41a3a, (q31_t)0x62a0190c, (q31_t)0x629c17a1, + (q31_t)0x629815fa, (q31_t)0x62941415, + (q31_t)0x629011f4, (q31_t)0x628c0f96, (q31_t)0x62880cfb, (q31_t)0x62840a23, (q31_t)0x6280070f, (q31_t)0x627c03be, + (q31_t)0x62780030, (q31_t)0x6273fc65, + (q31_t)0x626ff85e, (q31_t)0x626bf41a, (q31_t)0x6267ef99, (q31_t)0x6263eadc, (q31_t)0x625fe5e1, (q31_t)0x625be0ab, + (q31_t)0x6257db37, (q31_t)0x6253d587, + (q31_t)0x624fcf9a, (q31_t)0x624bc970, (q31_t)0x6247c30a, (q31_t)0x6243bc68, (q31_t)0x623fb588, (q31_t)0x623bae6c, + (q31_t)0x6237a714, (q31_t)0x62339f7e, + (q31_t)0x622f97ad, (q31_t)0x622b8f9e, (q31_t)0x62278754, (q31_t)0x62237ecc, (q31_t)0x621f7608, (q31_t)0x621b6d08, + (q31_t)0x621763cb, (q31_t)0x62135a51, + (q31_t)0x620f509b, (q31_t)0x620b46a9, (q31_t)0x62073c7a, (q31_t)0x6203320e, (q31_t)0x61ff2766, (q31_t)0x61fb1c82, + (q31_t)0x61f71161, (q31_t)0x61f30604, + (q31_t)0x61eefa6b, (q31_t)0x61eaee95, (q31_t)0x61e6e282, (q31_t)0x61e2d633, (q31_t)0x61dec9a8, (q31_t)0x61dabce0, + (q31_t)0x61d6afdd, (q31_t)0x61d2a29c, + (q31_t)0x61ce9520, (q31_t)0x61ca8767, (q31_t)0x61c67971, (q31_t)0x61c26b40, (q31_t)0x61be5cd2, (q31_t)0x61ba4e28, + (q31_t)0x61b63f41, (q31_t)0x61b2301e, + (q31_t)0x61ae20bf, (q31_t)0x61aa1124, (q31_t)0x61a6014d, (q31_t)0x61a1f139, (q31_t)0x619de0e9, (q31_t)0x6199d05d, + (q31_t)0x6195bf94, (q31_t)0x6191ae90, + (q31_t)0x618d9d4f, (q31_t)0x61898bd2, (q31_t)0x61857a19, (q31_t)0x61816824, (q31_t)0x617d55f2, (q31_t)0x61794385, + (q31_t)0x617530db, (q31_t)0x61711df5, + (q31_t)0x616d0ad3, (q31_t)0x6168f775, (q31_t)0x6164e3db, (q31_t)0x6160d005, (q31_t)0x615cbbf3, (q31_t)0x6158a7a4, + (q31_t)0x6154931a, (q31_t)0x61507e54, + (q31_t)0x614c6951, (q31_t)0x61485413, (q31_t)0x61443e98, (q31_t)0x614028e2, (q31_t)0x613c12f0, (q31_t)0x6137fcc1, + (q31_t)0x6133e657, (q31_t)0x612fcfb0, + (q31_t)0x612bb8ce, (q31_t)0x6127a1b0, (q31_t)0x61238a56, (q31_t)0x611f72c0, (q31_t)0x611b5aee, (q31_t)0x611742e0, + (q31_t)0x61132a96, (q31_t)0x610f1210, + (q31_t)0x610af94f, (q31_t)0x6106e051, (q31_t)0x6102c718, (q31_t)0x60feada3, (q31_t)0x60fa93f2, (q31_t)0x60f67a05, + (q31_t)0x60f25fdd, (q31_t)0x60ee4579, + (q31_t)0x60ea2ad8, (q31_t)0x60e60ffd, (q31_t)0x60e1f4e5, (q31_t)0x60ddd991, (q31_t)0x60d9be02, (q31_t)0x60d5a237, + (q31_t)0x60d18631, (q31_t)0x60cd69ee, + (q31_t)0x60c94d70, (q31_t)0x60c530b6, (q31_t)0x60c113c1, (q31_t)0x60bcf690, (q31_t)0x60b8d923, (q31_t)0x60b4bb7a, + (q31_t)0x60b09d96, (q31_t)0x60ac7f76, + (q31_t)0x60a8611b, (q31_t)0x60a44284, (q31_t)0x60a023b1, (q31_t)0x609c04a3, (q31_t)0x6097e559, (q31_t)0x6093c5d3, + (q31_t)0x608fa612, (q31_t)0x608b8616, + (q31_t)0x608765dd, (q31_t)0x6083456a, (q31_t)0x607f24ba, (q31_t)0x607b03d0, (q31_t)0x6076e2a9, (q31_t)0x6072c148, + (q31_t)0x606e9faa, (q31_t)0x606a7dd2, + (q31_t)0x60665bbd, (q31_t)0x6062396e, (q31_t)0x605e16e2, (q31_t)0x6059f41c, (q31_t)0x6055d11a, (q31_t)0x6051addc, + (q31_t)0x604d8a63, (q31_t)0x604966af, + (q31_t)0x604542bf, (q31_t)0x60411e94, (q31_t)0x603cfa2e, (q31_t)0x6038d58c, (q31_t)0x6034b0af, (q31_t)0x60308b97, + (q31_t)0x602c6643, (q31_t)0x602840b4, + (q31_t)0x60241ae9, (q31_t)0x601ff4e3, (q31_t)0x601bcea2, (q31_t)0x6017a826, (q31_t)0x6013816e, (q31_t)0x600f5a7b, + (q31_t)0x600b334d, (q31_t)0x60070be4, + (q31_t)0x6002e43f, (q31_t)0x5ffebc5f, (q31_t)0x5ffa9444, (q31_t)0x5ff66bee, (q31_t)0x5ff2435d, (q31_t)0x5fee1a90, + (q31_t)0x5fe9f188, (q31_t)0x5fe5c845, + (q31_t)0x5fe19ec7, (q31_t)0x5fdd750e, (q31_t)0x5fd94b19, (q31_t)0x5fd520ea, (q31_t)0x5fd0f67f, (q31_t)0x5fcccbd9, + (q31_t)0x5fc8a0f8, (q31_t)0x5fc475dc, + (q31_t)0x5fc04a85, (q31_t)0x5fbc1ef3, (q31_t)0x5fb7f326, (q31_t)0x5fb3c71e, (q31_t)0x5faf9adb, (q31_t)0x5fab6e5d, + (q31_t)0x5fa741a3, (q31_t)0x5fa314af, + (q31_t)0x5f9ee780, (q31_t)0x5f9aba16, (q31_t)0x5f968c70, (q31_t)0x5f925e90, (q31_t)0x5f8e3075, (q31_t)0x5f8a021f, + (q31_t)0x5f85d38e, (q31_t)0x5f81a4c2, + (q31_t)0x5f7d75bb, (q31_t)0x5f794679, (q31_t)0x5f7516fd, (q31_t)0x5f70e745, (q31_t)0x5f6cb753, (q31_t)0x5f688726, + (q31_t)0x5f6456be, (q31_t)0x5f60261b, + (q31_t)0x5f5bf53d, (q31_t)0x5f57c424, (q31_t)0x5f5392d1, (q31_t)0x5f4f6143, (q31_t)0x5f4b2f7a, (q31_t)0x5f46fd76, + (q31_t)0x5f42cb37, (q31_t)0x5f3e98be, + (q31_t)0x5f3a660a, (q31_t)0x5f36331b, (q31_t)0x5f31fff1, (q31_t)0x5f2dcc8d, (q31_t)0x5f2998ee, (q31_t)0x5f256515, + (q31_t)0x5f213100, (q31_t)0x5f1cfcb1, + (q31_t)0x5f18c827, (q31_t)0x5f149363, (q31_t)0x5f105e64, (q31_t)0x5f0c292a, (q31_t)0x5f07f3b6, (q31_t)0x5f03be07, + (q31_t)0x5eff881d, (q31_t)0x5efb51f9, + (q31_t)0x5ef71b9b, (q31_t)0x5ef2e501, (q31_t)0x5eeeae2d, (q31_t)0x5eea771f, (q31_t)0x5ee63fd6, (q31_t)0x5ee20853, + (q31_t)0x5eddd094, (q31_t)0x5ed9989c, + (q31_t)0x5ed56069, (q31_t)0x5ed127fb, (q31_t)0x5eccef53, (q31_t)0x5ec8b671, (q31_t)0x5ec47d54, (q31_t)0x5ec043fc, + (q31_t)0x5ebc0a6a, (q31_t)0x5eb7d09e, + (q31_t)0x5eb39697, (q31_t)0x5eaf5c56, (q31_t)0x5eab21da, (q31_t)0x5ea6e724, (q31_t)0x5ea2ac34, (q31_t)0x5e9e7109, + (q31_t)0x5e9a35a4, (q31_t)0x5e95fa05, + (q31_t)0x5e91be2b, (q31_t)0x5e8d8217, (q31_t)0x5e8945c8, (q31_t)0x5e85093f, (q31_t)0x5e80cc7c, (q31_t)0x5e7c8f7f, + (q31_t)0x5e785247, (q31_t)0x5e7414d5, + (q31_t)0x5e6fd729, (q31_t)0x5e6b9943, (q31_t)0x5e675b22, (q31_t)0x5e631cc7, (q31_t)0x5e5ede32, (q31_t)0x5e5a9f62, + (q31_t)0x5e566059, (q31_t)0x5e522115, + (q31_t)0x5e4de197, (q31_t)0x5e49a1df, (q31_t)0x5e4561ed, (q31_t)0x5e4121c0, (q31_t)0x5e3ce15a, (q31_t)0x5e38a0b9, + (q31_t)0x5e345fde, (q31_t)0x5e301ec9, + (q31_t)0x5e2bdd7a, (q31_t)0x5e279bf1, (q31_t)0x5e235a2e, (q31_t)0x5e1f1830, (q31_t)0x5e1ad5f9, (q31_t)0x5e169388, + (q31_t)0x5e1250dc, (q31_t)0x5e0e0df7, + (q31_t)0x5e09cad7, (q31_t)0x5e05877e, (q31_t)0x5e0143ea, (q31_t)0x5dfd001d, (q31_t)0x5df8bc15, (q31_t)0x5df477d4, + (q31_t)0x5df03359, (q31_t)0x5debeea3, + (q31_t)0x5de7a9b4, (q31_t)0x5de3648b, (q31_t)0x5ddf1f28, (q31_t)0x5ddad98b, (q31_t)0x5dd693b4, (q31_t)0x5dd24da3, + (q31_t)0x5dce0759, (q31_t)0x5dc9c0d4, + (q31_t)0x5dc57a16, (q31_t)0x5dc1331d, (q31_t)0x5dbcebeb, (q31_t)0x5db8a480, (q31_t)0x5db45cda, (q31_t)0x5db014fa, + (q31_t)0x5dabcce1, (q31_t)0x5da7848e, + (q31_t)0x5da33c01, (q31_t)0x5d9ef33b, (q31_t)0x5d9aaa3a, (q31_t)0x5d966100, (q31_t)0x5d92178d, (q31_t)0x5d8dcddf, + (q31_t)0x5d8983f8, (q31_t)0x5d8539d7, + (q31_t)0x5d80ef7c, (q31_t)0x5d7ca4e8, (q31_t)0x5d785a1a, (q31_t)0x5d740f12, (q31_t)0x5d6fc3d1, (q31_t)0x5d6b7856, + (q31_t)0x5d672ca2, (q31_t)0x5d62e0b4, + (q31_t)0x5d5e948c, (q31_t)0x5d5a482a, (q31_t)0x5d55fb90, (q31_t)0x5d51aebb, (q31_t)0x5d4d61ad, (q31_t)0x5d491465, + (q31_t)0x5d44c6e4, (q31_t)0x5d40792a, + (q31_t)0x5d3c2b35, (q31_t)0x5d37dd08, (q31_t)0x5d338ea0, (q31_t)0x5d2f4000, (q31_t)0x5d2af125, (q31_t)0x5d26a212, + (q31_t)0x5d2252c5, (q31_t)0x5d1e033e, + (q31_t)0x5d19b37e, (q31_t)0x5d156385, (q31_t)0x5d111352, (q31_t)0x5d0cc2e5, (q31_t)0x5d087240, (q31_t)0x5d042161, + (q31_t)0x5cffd048, (q31_t)0x5cfb7ef7, + (q31_t)0x5cf72d6b, (q31_t)0x5cf2dba7, (q31_t)0x5cee89a9, (q31_t)0x5cea3772, (q31_t)0x5ce5e501, (q31_t)0x5ce19258, + (q31_t)0x5cdd3f75, (q31_t)0x5cd8ec58, + (q31_t)0x5cd49903, (q31_t)0x5cd04574, (q31_t)0x5ccbf1ab, (q31_t)0x5cc79daa, (q31_t)0x5cc3496f, (q31_t)0x5cbef4fc, + (q31_t)0x5cbaa04f, (q31_t)0x5cb64b68, + (q31_t)0x5cb1f649, (q31_t)0x5cada0f0, (q31_t)0x5ca94b5e, (q31_t)0x5ca4f594, (q31_t)0x5ca09f8f, (q31_t)0x5c9c4952, + (q31_t)0x5c97f2dc, (q31_t)0x5c939c2c, + (q31_t)0x5c8f4544, (q31_t)0x5c8aee22, (q31_t)0x5c8696c7, (q31_t)0x5c823f34, (q31_t)0x5c7de767, (q31_t)0x5c798f61, + (q31_t)0x5c753722, (q31_t)0x5c70deaa, + (q31_t)0x5c6c85f9, (q31_t)0x5c682d0f, (q31_t)0x5c63d3eb, (q31_t)0x5c5f7a8f, (q31_t)0x5c5b20fa, (q31_t)0x5c56c72c, + (q31_t)0x5c526d25, (q31_t)0x5c4e12e5, + (q31_t)0x5c49b86d, (q31_t)0x5c455dbb, (q31_t)0x5c4102d0, (q31_t)0x5c3ca7ad, (q31_t)0x5c384c50, (q31_t)0x5c33f0bb, + (q31_t)0x5c2f94ec, (q31_t)0x5c2b38e5, + (q31_t)0x5c26dca5, (q31_t)0x5c22802c, (q31_t)0x5c1e237b, (q31_t)0x5c19c690, (q31_t)0x5c15696d, (q31_t)0x5c110c11, + (q31_t)0x5c0cae7c, (q31_t)0x5c0850ae, + (q31_t)0x5c03f2a8, (q31_t)0x5bff9469, (q31_t)0x5bfb35f1, (q31_t)0x5bf6d740, (q31_t)0x5bf27857, (q31_t)0x5bee1935, + (q31_t)0x5be9b9da, (q31_t)0x5be55a46, + (q31_t)0x5be0fa7a, (q31_t)0x5bdc9a75, (q31_t)0x5bd83a37, (q31_t)0x5bd3d9c1, (q31_t)0x5bcf7912, (q31_t)0x5bcb182b, + (q31_t)0x5bc6b70b, (q31_t)0x5bc255b2, + (q31_t)0x5bbdf421, (q31_t)0x5bb99257, (q31_t)0x5bb53054, (q31_t)0x5bb0ce19, (q31_t)0x5bac6ba6, (q31_t)0x5ba808f9, + (q31_t)0x5ba3a615, (q31_t)0x5b9f42f7, + (q31_t)0x5b9adfa2, (q31_t)0x5b967c13, (q31_t)0x5b92184d, (q31_t)0x5b8db44d, (q31_t)0x5b895016, (q31_t)0x5b84eba6, + (q31_t)0x5b8086fd, (q31_t)0x5b7c221c, + (q31_t)0x5b77bd02, (q31_t)0x5b7357b0, (q31_t)0x5b6ef226, (q31_t)0x5b6a8c63, (q31_t)0x5b662668, (q31_t)0x5b61c035, + (q31_t)0x5b5d59c9, (q31_t)0x5b58f324, + (q31_t)0x5b548c48, (q31_t)0x5b502533, (q31_t)0x5b4bbde6, (q31_t)0x5b475660, (q31_t)0x5b42eea2, (q31_t)0x5b3e86ac, + (q31_t)0x5b3a1e7e, (q31_t)0x5b35b617, + (q31_t)0x5b314d78, (q31_t)0x5b2ce4a1, (q31_t)0x5b287b91, (q31_t)0x5b241249, (q31_t)0x5b1fa8c9, (q31_t)0x5b1b3f11, + (q31_t)0x5b16d521, (q31_t)0x5b126af8, + (q31_t)0x5b0e0098, (q31_t)0x5b0995ff, (q31_t)0x5b052b2e, (q31_t)0x5b00c025, (q31_t)0x5afc54e3, (q31_t)0x5af7e96a, + (q31_t)0x5af37db8, (q31_t)0x5aef11cf, + (q31_t)0x5aeaa5ad, (q31_t)0x5ae63953, (q31_t)0x5ae1ccc1, (q31_t)0x5add5ff7, (q31_t)0x5ad8f2f5, (q31_t)0x5ad485bb, + (q31_t)0x5ad01849, (q31_t)0x5acbaa9f, + (q31_t)0x5ac73cbd, (q31_t)0x5ac2cea3, (q31_t)0x5abe6050, (q31_t)0x5ab9f1c6, (q31_t)0x5ab58304, (q31_t)0x5ab1140a, + (q31_t)0x5aaca4d8, (q31_t)0x5aa8356f, + (q31_t)0x5aa3c5cd, (q31_t)0x5a9f55f3, (q31_t)0x5a9ae5e2, (q31_t)0x5a967598, (q31_t)0x5a920517, (q31_t)0x5a8d945d, + (q31_t)0x5a89236c, (q31_t)0x5a84b243, + (q31_t)0x5a8040e3, (q31_t)0x5a7bcf4a, (q31_t)0x5a775d7a, (q31_t)0x5a72eb71, (q31_t)0x5a6e7931, (q31_t)0x5a6a06ba, + (q31_t)0x5a65940a, (q31_t)0x5a612123, + (q31_t)0x5a5cae04, (q31_t)0x5a583aad, (q31_t)0x5a53c71e, (q31_t)0x5a4f5358, (q31_t)0x5a4adf5a, (q31_t)0x5a466b24, + (q31_t)0x5a41f6b7, (q31_t)0x5a3d8212, + (q31_t)0x5a390d35, (q31_t)0x5a349821, (q31_t)0x5a3022d5, (q31_t)0x5a2bad51, (q31_t)0x5a273796, (q31_t)0x5a22c1a3, + (q31_t)0x5a1e4b79, (q31_t)0x5a19d517, + (q31_t)0x5a155e7d, (q31_t)0x5a10e7ac, (q31_t)0x5a0c70a3, (q31_t)0x5a07f963, (q31_t)0x5a0381eb, (q31_t)0x59ff0a3c, + (q31_t)0x59fa9255, (q31_t)0x59f61a36, + (q31_t)0x59f1a1e0, (q31_t)0x59ed2953, (q31_t)0x59e8b08e, (q31_t)0x59e43792, (q31_t)0x59dfbe5e, (q31_t)0x59db44f3, + (q31_t)0x59d6cb50, (q31_t)0x59d25176, + (q31_t)0x59cdd765, (q31_t)0x59c95d1c, (q31_t)0x59c4e29c, (q31_t)0x59c067e4, (q31_t)0x59bbecf5, (q31_t)0x59b771cf, + (q31_t)0x59b2f671, (q31_t)0x59ae7add, + (q31_t)0x59a9ff10, (q31_t)0x59a5830d, (q31_t)0x59a106d2, (q31_t)0x599c8a60, (q31_t)0x59980db6, (q31_t)0x599390d5, + (q31_t)0x598f13bd, (q31_t)0x598a966e, + (q31_t)0x598618e8, (q31_t)0x59819b2a, (q31_t)0x597d1d35, (q31_t)0x59789f09, (q31_t)0x597420a6, (q31_t)0x596fa20b, + (q31_t)0x596b233a, (q31_t)0x5966a431, + (q31_t)0x596224f1, (q31_t)0x595da57a, (q31_t)0x595925cc, (q31_t)0x5954a5e6, (q31_t)0x595025ca, (q31_t)0x594ba576, + (q31_t)0x594724ec, (q31_t)0x5942a42a, + (q31_t)0x593e2331, (q31_t)0x5939a202, (q31_t)0x5935209b, (q31_t)0x59309efd, (q31_t)0x592c1d28, (q31_t)0x59279b1c, + (q31_t)0x592318d9, (q31_t)0x591e9660, + (q31_t)0x591a13af, (q31_t)0x591590c7, (q31_t)0x59110da8, (q31_t)0x590c8a53, (q31_t)0x590806c6, (q31_t)0x59038302, + (q31_t)0x58feff08, (q31_t)0x58fa7ad7, + (q31_t)0x58f5f66e, (q31_t)0x58f171cf, (q31_t)0x58ececf9, (q31_t)0x58e867ed, (q31_t)0x58e3e2a9, (q31_t)0x58df5d2e, + (q31_t)0x58dad77d, (q31_t)0x58d65195, + (q31_t)0x58d1cb76, (q31_t)0x58cd4520, (q31_t)0x58c8be94, (q31_t)0x58c437d1, (q31_t)0x58bfb0d7, (q31_t)0x58bb29a6, + (q31_t)0x58b6a23e, (q31_t)0x58b21aa0, + (q31_t)0x58ad92cb, (q31_t)0x58a90ac0, (q31_t)0x58a4827d, (q31_t)0x589ffa04, (q31_t)0x589b7155, (q31_t)0x5896e86f, + (q31_t)0x58925f52, (q31_t)0x588dd5fe, + (q31_t)0x58894c74, (q31_t)0x5884c2b3, (q31_t)0x588038bb, (q31_t)0x587bae8d, (q31_t)0x58772429, (q31_t)0x5872998e, + (q31_t)0x586e0ebc, (q31_t)0x586983b4, + (q31_t)0x5864f875, (q31_t)0x58606d00, (q31_t)0x585be154, (q31_t)0x58575571, (q31_t)0x5852c958, (q31_t)0x584e3d09, + (q31_t)0x5849b083, (q31_t)0x584523c7, + (q31_t)0x584096d4, (q31_t)0x583c09ab, (q31_t)0x58377c4c, (q31_t)0x5832eeb6, (q31_t)0x582e60e9, (q31_t)0x5829d2e6, + (q31_t)0x582544ad, (q31_t)0x5820b63e, + (q31_t)0x581c2798, (q31_t)0x581798bb, (q31_t)0x581309a9, (q31_t)0x580e7a60, (q31_t)0x5809eae1, (q31_t)0x58055b2b, + (q31_t)0x5800cb3f, (q31_t)0x57fc3b1d, + (q31_t)0x57f7aac5, (q31_t)0x57f31a36, (q31_t)0x57ee8971, (q31_t)0x57e9f876, (q31_t)0x57e56744, (q31_t)0x57e0d5dd, + (q31_t)0x57dc443f, (q31_t)0x57d7b26b, + (q31_t)0x57d32061, (q31_t)0x57ce8e20, (q31_t)0x57c9fbaa, (q31_t)0x57c568fd, (q31_t)0x57c0d61a, (q31_t)0x57bc4301, + (q31_t)0x57b7afb2, (q31_t)0x57b31c2d, + (q31_t)0x57ae8872, (q31_t)0x57a9f480, (q31_t)0x57a56059, (q31_t)0x57a0cbfb, (q31_t)0x579c3768, (q31_t)0x5797a29e, + (q31_t)0x57930d9e, (q31_t)0x578e7869, + (q31_t)0x5789e2fd, (q31_t)0x57854d5b, (q31_t)0x5780b784, (q31_t)0x577c2176, (q31_t)0x57778b32, (q31_t)0x5772f4b9, + (q31_t)0x576e5e09, (q31_t)0x5769c724, + (q31_t)0x57653009, (q31_t)0x576098b7, (q31_t)0x575c0130, (q31_t)0x57576973, (q31_t)0x5752d180, (q31_t)0x574e3957, + (q31_t)0x5749a0f9, (q31_t)0x57450864, + (q31_t)0x57406f9a, (q31_t)0x573bd69a, (q31_t)0x57373d64, (q31_t)0x5732a3f8, (q31_t)0x572e0a56, (q31_t)0x5729707f, + (q31_t)0x5724d672, (q31_t)0x57203c2f, + (q31_t)0x571ba1b7, (q31_t)0x57170708, (q31_t)0x57126c24, (q31_t)0x570dd10a, (q31_t)0x570935bb, (q31_t)0x57049a36, + (q31_t)0x56fffe7b, (q31_t)0x56fb628b, + (q31_t)0x56f6c664, (q31_t)0x56f22a09, (q31_t)0x56ed8d77, (q31_t)0x56e8f0b0, (q31_t)0x56e453b4, (q31_t)0x56dfb681, + (q31_t)0x56db1919, (q31_t)0x56d67b7c, + (q31_t)0x56d1dda9, (q31_t)0x56cd3fa1, (q31_t)0x56c8a162, (q31_t)0x56c402ef, (q31_t)0x56bf6446, (q31_t)0x56bac567, + (q31_t)0x56b62653, (q31_t)0x56b18709, + (q31_t)0x56ace78a, (q31_t)0x56a847d6, (q31_t)0x56a3a7ec, (q31_t)0x569f07cc, (q31_t)0x569a6777, (q31_t)0x5695c6ed, + (q31_t)0x5691262d, (q31_t)0x568c8538, + (q31_t)0x5687e40e, (q31_t)0x568342ae, (q31_t)0x567ea118, (q31_t)0x5679ff4e, (q31_t)0x56755d4e, (q31_t)0x5670bb19, + (q31_t)0x566c18ae, (q31_t)0x5667760e, + (q31_t)0x5662d339, (q31_t)0x565e302e, (q31_t)0x56598cee, (q31_t)0x5654e979, (q31_t)0x565045cf, (q31_t)0x564ba1f0, + (q31_t)0x5646fddb, (q31_t)0x56425991, + (q31_t)0x563db512, (q31_t)0x5639105d, (q31_t)0x56346b74, (q31_t)0x562fc655, (q31_t)0x562b2101, (q31_t)0x56267b78, + (q31_t)0x5621d5ba, (q31_t)0x561d2fc6, + (q31_t)0x5618899e, (q31_t)0x5613e340, (q31_t)0x560f3cae, (q31_t)0x560a95e6, (q31_t)0x5605eee9, (q31_t)0x560147b7, + (q31_t)0x55fca050, (q31_t)0x55f7f8b4, + (q31_t)0x55f350e3, (q31_t)0x55eea8dd, (q31_t)0x55ea00a2, (q31_t)0x55e55832, (q31_t)0x55e0af8d, (q31_t)0x55dc06b3, + (q31_t)0x55d75da4, (q31_t)0x55d2b460, + (q31_t)0x55ce0ae7, (q31_t)0x55c96139, (q31_t)0x55c4b757, (q31_t)0x55c00d3f, (q31_t)0x55bb62f3, (q31_t)0x55b6b871, + (q31_t)0x55b20dbb, (q31_t)0x55ad62d0, + (q31_t)0x55a8b7b0, (q31_t)0x55a40c5b, (q31_t)0x559f60d1, (q31_t)0x559ab513, (q31_t)0x55960920, (q31_t)0x55915cf8, + (q31_t)0x558cb09b, (q31_t)0x55880409, + (q31_t)0x55835743, (q31_t)0x557eaa48, (q31_t)0x5579fd18, (q31_t)0x55754fb3, (q31_t)0x5570a21a, (q31_t)0x556bf44c, + (q31_t)0x55674649, (q31_t)0x55629812, + (q31_t)0x555de9a6, (q31_t)0x55593b05, (q31_t)0x55548c30, (q31_t)0x554fdd26, (q31_t)0x554b2de7, (q31_t)0x55467e74, + (q31_t)0x5541cecc, (q31_t)0x553d1ef0, + (q31_t)0x55386edf, (q31_t)0x5533be99, (q31_t)0x552f0e1f, (q31_t)0x552a5d70, (q31_t)0x5525ac8d, (q31_t)0x5520fb75, + (q31_t)0x551c4a29, (q31_t)0x551798a8, + (q31_t)0x5512e6f3, (q31_t)0x550e3509, (q31_t)0x550982eb, (q31_t)0x5504d099, (q31_t)0x55001e12, (q31_t)0x54fb6b56, + (q31_t)0x54f6b866, (q31_t)0x54f20542, + (q31_t)0x54ed51e9, (q31_t)0x54e89e5c, (q31_t)0x54e3ea9a, (q31_t)0x54df36a5, (q31_t)0x54da827a, (q31_t)0x54d5ce1c, + (q31_t)0x54d11989, (q31_t)0x54cc64c2, + (q31_t)0x54c7afc6, (q31_t)0x54c2fa96, (q31_t)0x54be4532, (q31_t)0x54b98f9a, (q31_t)0x54b4d9cd, (q31_t)0x54b023cc, + (q31_t)0x54ab6d97, (q31_t)0x54a6b72e, + (q31_t)0x54a20090, (q31_t)0x549d49bf, (q31_t)0x549892b9, (q31_t)0x5493db7f, (q31_t)0x548f2410, (q31_t)0x548a6c6e, + (q31_t)0x5485b497, (q31_t)0x5480fc8c, + (q31_t)0x547c444d, (q31_t)0x54778bda, (q31_t)0x5472d333, (q31_t)0x546e1a58, (q31_t)0x54696149, (q31_t)0x5464a805, + (q31_t)0x545fee8e, (q31_t)0x545b34e3, + (q31_t)0x54567b03, (q31_t)0x5451c0f0, (q31_t)0x544d06a8, (q31_t)0x54484c2d, (q31_t)0x5443917d, (q31_t)0x543ed699, + (q31_t)0x543a1b82, (q31_t)0x54356037, + (q31_t)0x5430a4b7, (q31_t)0x542be904, (q31_t)0x54272d1d, (q31_t)0x54227102, (q31_t)0x541db4b3, (q31_t)0x5418f830, + (q31_t)0x54143b79, (q31_t)0x540f7e8e, + (q31_t)0x540ac170, (q31_t)0x5406041d, (q31_t)0x54014697, (q31_t)0x53fc88dd, (q31_t)0x53f7caef, (q31_t)0x53f30cce, + (q31_t)0x53ee4e78, (q31_t)0x53e98fef, + (q31_t)0x53e4d132, (q31_t)0x53e01242, (q31_t)0x53db531d, (q31_t)0x53d693c5, (q31_t)0x53d1d439, (q31_t)0x53cd147a, + (q31_t)0x53c85486, (q31_t)0x53c3945f, + (q31_t)0x53bed405, (q31_t)0x53ba1377, (q31_t)0x53b552b5, (q31_t)0x53b091bf, (q31_t)0x53abd096, (q31_t)0x53a70f39, + (q31_t)0x53a24da9, (q31_t)0x539d8be5, + (q31_t)0x5398c9ed, (q31_t)0x539407c2, (q31_t)0x538f4564, (q31_t)0x538a82d1, (q31_t)0x5385c00c, (q31_t)0x5380fd12, + (q31_t)0x537c39e6, (q31_t)0x53777685, + (q31_t)0x5372b2f2, (q31_t)0x536def2a, (q31_t)0x53692b30, (q31_t)0x53646701, (q31_t)0x535fa2a0, (q31_t)0x535ade0b, + (q31_t)0x53561942, (q31_t)0x53515447, + (q31_t)0x534c8f17, (q31_t)0x5347c9b5, (q31_t)0x5343041f, (q31_t)0x533e3e55, (q31_t)0x53397859, (q31_t)0x5334b229, + (q31_t)0x532febc5, (q31_t)0x532b252f, + (q31_t)0x53265e65, (q31_t)0x53219767, (q31_t)0x531cd037, (q31_t)0x531808d3, (q31_t)0x5313413c, (q31_t)0x530e7972, + (q31_t)0x5309b174, (q31_t)0x5304e943, + (q31_t)0x530020df, (q31_t)0x52fb5848, (q31_t)0x52f68f7e, (q31_t)0x52f1c680, (q31_t)0x52ecfd4f, (q31_t)0x52e833ec, + (q31_t)0x52e36a55, (q31_t)0x52dea08a, + (q31_t)0x52d9d68d, (q31_t)0x52d50c5d, (q31_t)0x52d041f9, (q31_t)0x52cb7763, (q31_t)0x52c6ac99, (q31_t)0x52c1e19d, + (q31_t)0x52bd166d, (q31_t)0x52b84b0a, + (q31_t)0x52b37f74, (q31_t)0x52aeb3ac, (q31_t)0x52a9e7b0, (q31_t)0x52a51b81, (q31_t)0x52a04f1f, (q31_t)0x529b828a, + (q31_t)0x5296b5c3, (q31_t)0x5291e8c8, + (q31_t)0x528d1b9b, (q31_t)0x52884e3a, (q31_t)0x528380a7, (q31_t)0x527eb2e0, (q31_t)0x5279e4e7, (q31_t)0x527516bb, + (q31_t)0x5270485c, (q31_t)0x526b79ca, + (q31_t)0x5266ab06, (q31_t)0x5261dc0e, (q31_t)0x525d0ce4, (q31_t)0x52583d87, (q31_t)0x52536df7, (q31_t)0x524e9e34, + (q31_t)0x5249ce3f, (q31_t)0x5244fe17, + (q31_t)0x52402dbc, (q31_t)0x523b5d2e, (q31_t)0x52368c6e, (q31_t)0x5231bb7b, (q31_t)0x522cea55, (q31_t)0x522818fc, + (q31_t)0x52234771, (q31_t)0x521e75b3, + (q31_t)0x5219a3c3, (q31_t)0x5214d1a0, (q31_t)0x520fff4a, (q31_t)0x520b2cc2, (q31_t)0x52065a07, (q31_t)0x52018719, + (q31_t)0x51fcb3f9, (q31_t)0x51f7e0a6, + (q31_t)0x51f30d21, (q31_t)0x51ee3969, (q31_t)0x51e9657e, (q31_t)0x51e49162, (q31_t)0x51dfbd12, (q31_t)0x51dae890, + (q31_t)0x51d613dc, (q31_t)0x51d13ef5, + (q31_t)0x51cc69db, (q31_t)0x51c79490, (q31_t)0x51c2bf11, (q31_t)0x51bde960, (q31_t)0x51b9137d, (q31_t)0x51b43d68, + (q31_t)0x51af6720, (q31_t)0x51aa90a5, + (q31_t)0x51a5b9f9, (q31_t)0x51a0e31a, (q31_t)0x519c0c08, (q31_t)0x519734c4, (q31_t)0x51925d4e, (q31_t)0x518d85a6, + (q31_t)0x5188adcb, (q31_t)0x5183d5be, + (q31_t)0x517efd7f, (q31_t)0x517a250d, (q31_t)0x51754c69, (q31_t)0x51707393, (q31_t)0x516b9a8b, (q31_t)0x5166c150, + (q31_t)0x5161e7e4, (q31_t)0x515d0e45, + (q31_t)0x51583473, (q31_t)0x51535a70, (q31_t)0x514e803b, (q31_t)0x5149a5d3, (q31_t)0x5144cb39, (q31_t)0x513ff06d, + (q31_t)0x513b156f, (q31_t)0x51363a3f, + (q31_t)0x51315edd, (q31_t)0x512c8348, (q31_t)0x5127a782, (q31_t)0x5122cb8a, (q31_t)0x511def5f, (q31_t)0x51191302, + (q31_t)0x51143674, (q31_t)0x510f59b3, + (q31_t)0x510a7cc1, (q31_t)0x51059f9c, (q31_t)0x5100c246, (q31_t)0x50fbe4bd, (q31_t)0x50f70703, (q31_t)0x50f22916, + (q31_t)0x50ed4af8, (q31_t)0x50e86ca8, + (q31_t)0x50e38e25, (q31_t)0x50deaf71, (q31_t)0x50d9d08b, (q31_t)0x50d4f173, (q31_t)0x50d0122a, (q31_t)0x50cb32ae, + (q31_t)0x50c65301, (q31_t)0x50c17322, + (q31_t)0x50bc9311, (q31_t)0x50b7b2ce, (q31_t)0x50b2d259, (q31_t)0x50adf1b3, (q31_t)0x50a910db, (q31_t)0x50a42fd1, + (q31_t)0x509f4e95, (q31_t)0x509a6d28, + (q31_t)0x50958b88, (q31_t)0x5090a9b8, (q31_t)0x508bc7b5, (q31_t)0x5086e581, (q31_t)0x5082031b, (q31_t)0x507d2083, + (q31_t)0x50783dba, (q31_t)0x50735abf, + (q31_t)0x506e7793, (q31_t)0x50699435, (q31_t)0x5064b0a5, (q31_t)0x505fcce4, (q31_t)0x505ae8f1, (q31_t)0x505604cd, + (q31_t)0x50512077, (q31_t)0x504c3bef, + (q31_t)0x50475736, (q31_t)0x5042724c, (q31_t)0x503d8d30, (q31_t)0x5038a7e2, (q31_t)0x5033c263, (q31_t)0x502edcb2, + (q31_t)0x5029f6d1, (q31_t)0x502510bd, + (q31_t)0x50202a78, (q31_t)0x501b4402, (q31_t)0x50165d5a, (q31_t)0x50117681, (q31_t)0x500c8f77, (q31_t)0x5007a83b, + (q31_t)0x5002c0cd, (q31_t)0x4ffdd92f, + (q31_t)0x4ff8f15f, (q31_t)0x4ff4095e, (q31_t)0x4fef212b, (q31_t)0x4fea38c7, (q31_t)0x4fe55032, (q31_t)0x4fe0676c, + (q31_t)0x4fdb7e74, (q31_t)0x4fd6954b, + (q31_t)0x4fd1abf0, (q31_t)0x4fccc265, (q31_t)0x4fc7d8a8, (q31_t)0x4fc2eeba, (q31_t)0x4fbe049b, (q31_t)0x4fb91a4b, + (q31_t)0x4fb42fc9, (q31_t)0x4faf4517, + (q31_t)0x4faa5a33, (q31_t)0x4fa56f1e, (q31_t)0x4fa083d8, (q31_t)0x4f9b9861, (q31_t)0x4f96acb8, (q31_t)0x4f91c0df, + (q31_t)0x4f8cd4d4, (q31_t)0x4f87e899, + (q31_t)0x4f82fc2c, (q31_t)0x4f7e0f8f, (q31_t)0x4f7922c0, (q31_t)0x4f7435c0, (q31_t)0x4f6f488f, (q31_t)0x4f6a5b2e, + (q31_t)0x4f656d9b, (q31_t)0x4f607fd7, + (q31_t)0x4f5b91e3, (q31_t)0x4f56a3bd, (q31_t)0x4f51b566, (q31_t)0x4f4cc6df, (q31_t)0x4f47d827, (q31_t)0x4f42e93d, + (q31_t)0x4f3dfa23, (q31_t)0x4f390ad8, + (q31_t)0x4f341b5c, (q31_t)0x4f2f2baf, (q31_t)0x4f2a3bd2, (q31_t)0x4f254bc3, (q31_t)0x4f205b84, (q31_t)0x4f1b6b14, + (q31_t)0x4f167a73, (q31_t)0x4f1189a1, + (q31_t)0x4f0c989f, (q31_t)0x4f07a76b, (q31_t)0x4f02b608, (q31_t)0x4efdc473, (q31_t)0x4ef8d2ad, (q31_t)0x4ef3e0b7, + (q31_t)0x4eeeee90, (q31_t)0x4ee9fc39, + (q31_t)0x4ee509b1, (q31_t)0x4ee016f8, (q31_t)0x4edb240e, (q31_t)0x4ed630f4, (q31_t)0x4ed13da9, (q31_t)0x4ecc4a2e, + (q31_t)0x4ec75682, (q31_t)0x4ec262a5, + (q31_t)0x4ebd6e98, (q31_t)0x4eb87a5a, (q31_t)0x4eb385ec, (q31_t)0x4eae914d, (q31_t)0x4ea99c7d, (q31_t)0x4ea4a77d, + (q31_t)0x4e9fb24d, (q31_t)0x4e9abcec, + (q31_t)0x4e95c75b, (q31_t)0x4e90d199, (q31_t)0x4e8bdba6, (q31_t)0x4e86e583, (q31_t)0x4e81ef30, (q31_t)0x4e7cf8ac, + (q31_t)0x4e7801f8, (q31_t)0x4e730b14, + (q31_t)0x4e6e13ff, (q31_t)0x4e691cba, (q31_t)0x4e642544, (q31_t)0x4e5f2d9e, (q31_t)0x4e5a35c7, (q31_t)0x4e553dc1, + (q31_t)0x4e50458a, (q31_t)0x4e4b4d22, + (q31_t)0x4e46548b, (q31_t)0x4e415bc3, (q31_t)0x4e3c62cb, (q31_t)0x4e3769a2, (q31_t)0x4e32704a, (q31_t)0x4e2d76c1, + (q31_t)0x4e287d08, (q31_t)0x4e23831e, + (q31_t)0x4e1e8905, (q31_t)0x4e198ebb, (q31_t)0x4e149441, (q31_t)0x4e0f9997, (q31_t)0x4e0a9ebd, (q31_t)0x4e05a3b2, + (q31_t)0x4e00a878, (q31_t)0x4dfbad0d, + (q31_t)0x4df6b173, (q31_t)0x4df1b5a8, (q31_t)0x4decb9ad, (q31_t)0x4de7bd82, (q31_t)0x4de2c127, (q31_t)0x4dddc49c, + (q31_t)0x4dd8c7e1, (q31_t)0x4dd3caf6, + (q31_t)0x4dcecdda, (q31_t)0x4dc9d08f, (q31_t)0x4dc4d314, (q31_t)0x4dbfd569, (q31_t)0x4dbad78e, (q31_t)0x4db5d983, + (q31_t)0x4db0db48, (q31_t)0x4dabdcdd, + (q31_t)0x4da6de43, (q31_t)0x4da1df78, (q31_t)0x4d9ce07d, (q31_t)0x4d97e153, (q31_t)0x4d92e1f9, (q31_t)0x4d8de26f, + (q31_t)0x4d88e2b5, (q31_t)0x4d83e2cb, + (q31_t)0x4d7ee2b1, (q31_t)0x4d79e268, (q31_t)0x4d74e1ef, (q31_t)0x4d6fe146, (q31_t)0x4d6ae06d, (q31_t)0x4d65df64, + (q31_t)0x4d60de2c, (q31_t)0x4d5bdcc4, + (q31_t)0x4d56db2d, (q31_t)0x4d51d965, (q31_t)0x4d4cd76e, (q31_t)0x4d47d547, (q31_t)0x4d42d2f1, (q31_t)0x4d3dd06b, + (q31_t)0x4d38cdb5, (q31_t)0x4d33cad0, + (q31_t)0x4d2ec7bb, (q31_t)0x4d29c476, (q31_t)0x4d24c102, (q31_t)0x4d1fbd5e, (q31_t)0x4d1ab98b, (q31_t)0x4d15b588, + (q31_t)0x4d10b155, (q31_t)0x4d0bacf3, + (q31_t)0x4d06a862, (q31_t)0x4d01a3a0, (q31_t)0x4cfc9eb0, (q31_t)0x4cf79990, (q31_t)0x4cf29440, (q31_t)0x4ced8ec1, + (q31_t)0x4ce88913, (q31_t)0x4ce38335, + (q31_t)0x4cde7d28, (q31_t)0x4cd976eb, (q31_t)0x4cd4707f, (q31_t)0x4ccf69e3, (q31_t)0x4cca6318, (q31_t)0x4cc55c1e, + (q31_t)0x4cc054f4, (q31_t)0x4cbb4d9b, + (q31_t)0x4cb64613, (q31_t)0x4cb13e5b, (q31_t)0x4cac3674, (q31_t)0x4ca72e5e, (q31_t)0x4ca22619, (q31_t)0x4c9d1da4, + (q31_t)0x4c981500, (q31_t)0x4c930c2d, + (q31_t)0x4c8e032a, (q31_t)0x4c88f9f8, (q31_t)0x4c83f097, (q31_t)0x4c7ee707, (q31_t)0x4c79dd48, (q31_t)0x4c74d359, + (q31_t)0x4c6fc93b, (q31_t)0x4c6abeef, + (q31_t)0x4c65b473, (q31_t)0x4c60a9c8, (q31_t)0x4c5b9eed, (q31_t)0x4c5693e4, (q31_t)0x4c5188ac, (q31_t)0x4c4c7d44, + (q31_t)0x4c4771ae, (q31_t)0x4c4265e8, + (q31_t)0x4c3d59f3, (q31_t)0x4c384dd0, (q31_t)0x4c33417d, (q31_t)0x4c2e34fb, (q31_t)0x4c29284b, (q31_t)0x4c241b6b, + (q31_t)0x4c1f0e5c, (q31_t)0x4c1a011f, + (q31_t)0x4c14f3b2, (q31_t)0x4c0fe617, (q31_t)0x4c0ad84c, (q31_t)0x4c05ca53, (q31_t)0x4c00bc2b, (q31_t)0x4bfbadd4, + (q31_t)0x4bf69f4e, (q31_t)0x4bf19099, + (q31_t)0x4bec81b5, (q31_t)0x4be772a3, (q31_t)0x4be26362, (q31_t)0x4bdd53f2, (q31_t)0x4bd84453, (q31_t)0x4bd33485, + (q31_t)0x4bce2488, (q31_t)0x4bc9145d, + (q31_t)0x4bc40403, (q31_t)0x4bbef37b, (q31_t)0x4bb9e2c3, (q31_t)0x4bb4d1dd, (q31_t)0x4bafc0c8, (q31_t)0x4baaaf85, + (q31_t)0x4ba59e12, (q31_t)0x4ba08c72, + (q31_t)0x4b9b7aa2, (q31_t)0x4b9668a4, (q31_t)0x4b915677, (q31_t)0x4b8c441c, (q31_t)0x4b873192, (q31_t)0x4b821ed9, + (q31_t)0x4b7d0bf2, (q31_t)0x4b77f8dc, + (q31_t)0x4b72e598, (q31_t)0x4b6dd225, (q31_t)0x4b68be84, (q31_t)0x4b63aab4, (q31_t)0x4b5e96b6, (q31_t)0x4b598289, + (q31_t)0x4b546e2d, (q31_t)0x4b4f59a4, + (q31_t)0x4b4a44eb, (q31_t)0x4b453005, (q31_t)0x4b401aef, (q31_t)0x4b3b05ac, (q31_t)0x4b35f03a, (q31_t)0x4b30da9a, + (q31_t)0x4b2bc4cb, (q31_t)0x4b26aece, + (q31_t)0x4b2198a2, (q31_t)0x4b1c8248, (q31_t)0x4b176bc0, (q31_t)0x4b12550a, (q31_t)0x4b0d3e25, (q31_t)0x4b082712, + (q31_t)0x4b030fd1, (q31_t)0x4afdf861, + (q31_t)0x4af8e0c3, (q31_t)0x4af3c8f7, (q31_t)0x4aeeb0fd, (q31_t)0x4ae998d4, (q31_t)0x4ae4807d, (q31_t)0x4adf67f8, + (q31_t)0x4ada4f45, (q31_t)0x4ad53664, + (q31_t)0x4ad01d54, (q31_t)0x4acb0417, (q31_t)0x4ac5eaab, (q31_t)0x4ac0d111, (q31_t)0x4abbb749, (q31_t)0x4ab69d53, + (q31_t)0x4ab1832f, (q31_t)0x4aac68dc, + (q31_t)0x4aa74e5c, (q31_t)0x4aa233ae, (q31_t)0x4a9d18d1, (q31_t)0x4a97fdc7, (q31_t)0x4a92e28e, (q31_t)0x4a8dc728, + (q31_t)0x4a88ab93, (q31_t)0x4a838fd1, + (q31_t)0x4a7e73e0, (q31_t)0x4a7957c2, (q31_t)0x4a743b76, (q31_t)0x4a6f1efc, (q31_t)0x4a6a0253, (q31_t)0x4a64e57d, + (q31_t)0x4a5fc879, (q31_t)0x4a5aab48, + (q31_t)0x4a558de8, (q31_t)0x4a50705a, (q31_t)0x4a4b529f, (q31_t)0x4a4634b6, (q31_t)0x4a41169f, (q31_t)0x4a3bf85a, + (q31_t)0x4a36d9e7, (q31_t)0x4a31bb47, + (q31_t)0x4a2c9c79, (q31_t)0x4a277d7d, (q31_t)0x4a225e53, (q31_t)0x4a1d3efc, (q31_t)0x4a181f77, (q31_t)0x4a12ffc4, + (q31_t)0x4a0ddfe4, (q31_t)0x4a08bfd5, + (q31_t)0x4a039f9a, (q31_t)0x49fe7f30, (q31_t)0x49f95e99, (q31_t)0x49f43dd4, (q31_t)0x49ef1ce2, (q31_t)0x49e9fbc2, + (q31_t)0x49e4da74, (q31_t)0x49dfb8f9, + (q31_t)0x49da9750, (q31_t)0x49d5757a, (q31_t)0x49d05376, (q31_t)0x49cb3145, (q31_t)0x49c60ee6, (q31_t)0x49c0ec59, + (q31_t)0x49bbc9a0, (q31_t)0x49b6a6b8, + (q31_t)0x49b183a3, (q31_t)0x49ac6061, (q31_t)0x49a73cf1, (q31_t)0x49a21954, (q31_t)0x499cf589, (q31_t)0x4997d191, + (q31_t)0x4992ad6c, (q31_t)0x498d8919, + (q31_t)0x49886499, (q31_t)0x49833fec, (q31_t)0x497e1b11, (q31_t)0x4978f609, (q31_t)0x4973d0d3, (q31_t)0x496eab70, + (q31_t)0x496985e0, (q31_t)0x49646023, + (q31_t)0x495f3a38, (q31_t)0x495a1420, (q31_t)0x4954eddb, (q31_t)0x494fc768, (q31_t)0x494aa0c9, (q31_t)0x494579fc, + (q31_t)0x49405302, (q31_t)0x493b2bdb, + (q31_t)0x49360486, (q31_t)0x4930dd05, (q31_t)0x492bb556, (q31_t)0x49268d7a, (q31_t)0x49216571, (q31_t)0x491c3d3b, + (q31_t)0x491714d8, (q31_t)0x4911ec47, + (q31_t)0x490cc38a, (q31_t)0x49079aa0, (q31_t)0x49027188, (q31_t)0x48fd4844, (q31_t)0x48f81ed2, (q31_t)0x48f2f534, + (q31_t)0x48edcb68, (q31_t)0x48e8a170, + (q31_t)0x48e3774a, (q31_t)0x48de4cf8, (q31_t)0x48d92278, (q31_t)0x48d3f7cc, (q31_t)0x48ceccf3, (q31_t)0x48c9a1ed, + (q31_t)0x48c476b9, (q31_t)0x48bf4b59, + (q31_t)0x48ba1fcd, (q31_t)0x48b4f413, (q31_t)0x48afc82c, (q31_t)0x48aa9c19, (q31_t)0x48a56fd9, (q31_t)0x48a0436c, + (q31_t)0x489b16d2, (q31_t)0x4895ea0b, + (q31_t)0x4890bd18, (q31_t)0x488b8ff8, (q31_t)0x488662ab, (q31_t)0x48813531, (q31_t)0x487c078b, (q31_t)0x4876d9b8, + (q31_t)0x4871abb8, (q31_t)0x486c7d8c, + (q31_t)0x48674f33, (q31_t)0x486220ad, (q31_t)0x485cf1fa, (q31_t)0x4857c31b, (q31_t)0x48529410, (q31_t)0x484d64d7, + (q31_t)0x48483572, (q31_t)0x484305e1, + (q31_t)0x483dd623, (q31_t)0x4838a638, (q31_t)0x48337621, (q31_t)0x482e45dd, (q31_t)0x4829156d, (q31_t)0x4823e4d0, + (q31_t)0x481eb407, (q31_t)0x48198311, + (q31_t)0x481451ef, (q31_t)0x480f20a0, (q31_t)0x4809ef25, (q31_t)0x4804bd7e, (q31_t)0x47ff8baa, (q31_t)0x47fa59a9, + (q31_t)0x47f5277d, (q31_t)0x47eff523, + (q31_t)0x47eac29e, (q31_t)0x47e58fec, (q31_t)0x47e05d0e, (q31_t)0x47db2a03, (q31_t)0x47d5f6cc, (q31_t)0x47d0c369, + (q31_t)0x47cb8fd9, (q31_t)0x47c65c1d, + (q31_t)0x47c12835, (q31_t)0x47bbf421, (q31_t)0x47b6bfe0, (q31_t)0x47b18b74, (q31_t)0x47ac56da, (q31_t)0x47a72215, + (q31_t)0x47a1ed24, (q31_t)0x479cb806, + (q31_t)0x479782bc, (q31_t)0x47924d46, (q31_t)0x478d17a4, (q31_t)0x4787e1d6, (q31_t)0x4782abdb, (q31_t)0x477d75b5, + (q31_t)0x47783f62, (q31_t)0x477308e3, + (q31_t)0x476dd239, (q31_t)0x47689b62, (q31_t)0x4763645f, (q31_t)0x475e2d30, (q31_t)0x4758f5d5, (q31_t)0x4753be4e, + (q31_t)0x474e869b, (q31_t)0x47494ebc, + (q31_t)0x474416b1, (q31_t)0x473ede7a, (q31_t)0x4739a617, (q31_t)0x47346d89, (q31_t)0x472f34ce, (q31_t)0x4729fbe7, + (q31_t)0x4724c2d5, (q31_t)0x471f8996, + (q31_t)0x471a502c, (q31_t)0x47151696, (q31_t)0x470fdcd4, (q31_t)0x470aa2e6, (q31_t)0x470568cd, (q31_t)0x47002e87, + (q31_t)0x46faf416, (q31_t)0x46f5b979, + (q31_t)0x46f07eb0, (q31_t)0x46eb43bc, (q31_t)0x46e6089b, (q31_t)0x46e0cd4f, (q31_t)0x46db91d8, (q31_t)0x46d65634, + (q31_t)0x46d11a65, (q31_t)0x46cbde6a, + (q31_t)0x46c6a244, (q31_t)0x46c165f1, (q31_t)0x46bc2974, (q31_t)0x46b6ecca, (q31_t)0x46b1aff5, (q31_t)0x46ac72f4, + (q31_t)0x46a735c8, (q31_t)0x46a1f870, + (q31_t)0x469cbaed, (q31_t)0x46977d3e, (q31_t)0x46923f63, (q31_t)0x468d015d, (q31_t)0x4687c32c, (q31_t)0x468284cf, + (q31_t)0x467d4646, (q31_t)0x46780792, + (q31_t)0x4672c8b3, (q31_t)0x466d89a8, (q31_t)0x46684a71, (q31_t)0x46630b0f, (q31_t)0x465dcb82, (q31_t)0x46588bc9, + (q31_t)0x46534be5, (q31_t)0x464e0bd6, + (q31_t)0x4648cb9b, (q31_t)0x46438b35, (q31_t)0x463e4aa3, (q31_t)0x463909e7, (q31_t)0x4633c8fe, (q31_t)0x462e87eb, + (q31_t)0x462946ac, (q31_t)0x46240542, + (q31_t)0x461ec3ad, (q31_t)0x461981ec, (q31_t)0x46144001, (q31_t)0x460efde9, (q31_t)0x4609bba7, (q31_t)0x4604793a, + (q31_t)0x45ff36a1, (q31_t)0x45f9f3dd, + (q31_t)0x45f4b0ee, (q31_t)0x45ef6dd4, (q31_t)0x45ea2a8f, (q31_t)0x45e4e71f, (q31_t)0x45dfa383, (q31_t)0x45da5fbc, + (q31_t)0x45d51bcb, (q31_t)0x45cfd7ae, + (q31_t)0x45ca9366, (q31_t)0x45c54ef3, (q31_t)0x45c00a55, (q31_t)0x45bac58c, (q31_t)0x45b58098, (q31_t)0x45b03b79, + (q31_t)0x45aaf630, (q31_t)0x45a5b0bb, + (q31_t)0x45a06b1b, (q31_t)0x459b2550, (q31_t)0x4595df5a, (q31_t)0x45909939, (q31_t)0x458b52ee, (q31_t)0x45860c77, + (q31_t)0x4580c5d6, (q31_t)0x457b7f0a, + (q31_t)0x45763813, (q31_t)0x4570f0f1, (q31_t)0x456ba9a4, (q31_t)0x4566622c, (q31_t)0x45611a8a, (q31_t)0x455bd2bc, + (q31_t)0x45568ac4, (q31_t)0x455142a2, + (q31_t)0x454bfa54, (q31_t)0x4546b1dc, (q31_t)0x45416939, (q31_t)0x453c206b, (q31_t)0x4536d773, (q31_t)0x45318e4f, + (q31_t)0x452c4502, (q31_t)0x4526fb89, + (q31_t)0x4521b1e6, (q31_t)0x451c6818, (q31_t)0x45171e20, (q31_t)0x4511d3fd, (q31_t)0x450c89af, (q31_t)0x45073f37, + (q31_t)0x4501f494, (q31_t)0x44fca9c6, + (q31_t)0x44f75ecf, (q31_t)0x44f213ac, (q31_t)0x44ecc85f, (q31_t)0x44e77ce7, (q31_t)0x44e23145, (q31_t)0x44dce579, + (q31_t)0x44d79982, (q31_t)0x44d24d60, + (q31_t)0x44cd0114, (q31_t)0x44c7b49e, (q31_t)0x44c267fd, (q31_t)0x44bd1b32, (q31_t)0x44b7ce3c, (q31_t)0x44b2811c, + (q31_t)0x44ad33d2, (q31_t)0x44a7e65d, + (q31_t)0x44a298be, (q31_t)0x449d4af5, (q31_t)0x4497fd01, (q31_t)0x4492aee3, (q31_t)0x448d609b, (q31_t)0x44881228, + (q31_t)0x4482c38b, (q31_t)0x447d74c4, + (q31_t)0x447825d2, (q31_t)0x4472d6b7, (q31_t)0x446d8771, (q31_t)0x44683801, (q31_t)0x4462e866, (q31_t)0x445d98a2, + (q31_t)0x445848b3, (q31_t)0x4452f89b, + (q31_t)0x444da858, (q31_t)0x444857ea, (q31_t)0x44430753, (q31_t)0x443db692, (q31_t)0x443865a7, (q31_t)0x44331491, + (q31_t)0x442dc351, (q31_t)0x442871e8, + (q31_t)0x44232054, (q31_t)0x441dce96, (q31_t)0x44187caf, (q31_t)0x44132a9d, (q31_t)0x440dd861, (q31_t)0x440885fc, + (q31_t)0x4403336c, (q31_t)0x43fde0b2, + (q31_t)0x43f88dcf, (q31_t)0x43f33ac1, (q31_t)0x43ede78a, (q31_t)0x43e89429, (q31_t)0x43e3409d, (q31_t)0x43ddece8, + (q31_t)0x43d8990a, (q31_t)0x43d34501, + (q31_t)0x43cdf0ce, (q31_t)0x43c89c72, (q31_t)0x43c347eb, (q31_t)0x43bdf33b, (q31_t)0x43b89e62, (q31_t)0x43b3495e, + (q31_t)0x43adf431, (q31_t)0x43a89ed9, + (q31_t)0x43a34959, (q31_t)0x439df3ae, (q31_t)0x43989dda, (q31_t)0x439347dc, (q31_t)0x438df1b4, (q31_t)0x43889b63, + (q31_t)0x438344e8, (q31_t)0x437dee43, + (q31_t)0x43789775, (q31_t)0x4373407d, (q31_t)0x436de95b, (q31_t)0x43689210, (q31_t)0x43633a9c, (q31_t)0x435de2fd, + (q31_t)0x43588b36, (q31_t)0x43533344, + (q31_t)0x434ddb29, (q31_t)0x434882e5, (q31_t)0x43432a77, (q31_t)0x433dd1e0, (q31_t)0x4338791f, (q31_t)0x43332035, + (q31_t)0x432dc721, (q31_t)0x43286de4, + (q31_t)0x4323147d, (q31_t)0x431dbaed, (q31_t)0x43186133, (q31_t)0x43130751, (q31_t)0x430dad44, (q31_t)0x4308530f, + (q31_t)0x4302f8b0, (q31_t)0x42fd9e28, + (q31_t)0x42f84376, (q31_t)0x42f2e89b, (q31_t)0x42ed8d97, (q31_t)0x42e83269, (q31_t)0x42e2d713, (q31_t)0x42dd7b93, + (q31_t)0x42d81fe9, (q31_t)0x42d2c417, + (q31_t)0x42cd681b, (q31_t)0x42c80bf6, (q31_t)0x42c2afa8, (q31_t)0x42bd5331, (q31_t)0x42b7f690, (q31_t)0x42b299c7, + (q31_t)0x42ad3cd4, (q31_t)0x42a7dfb8, + (q31_t)0x42a28273, (q31_t)0x429d2505, (q31_t)0x4297c76e, (q31_t)0x429269ae, (q31_t)0x428d0bc4, (q31_t)0x4287adb2, + (q31_t)0x42824f76, (q31_t)0x427cf112, + (q31_t)0x42779285, (q31_t)0x427233ce, (q31_t)0x426cd4ef, (q31_t)0x426775e6, (q31_t)0x426216b5, (q31_t)0x425cb75a, + (q31_t)0x425757d7, (q31_t)0x4251f82b, + (q31_t)0x424c9856, (q31_t)0x42473858, (q31_t)0x4241d831, (q31_t)0x423c77e1, (q31_t)0x42371769, (q31_t)0x4231b6c7, + (q31_t)0x422c55fd, (q31_t)0x4226f50a, + (q31_t)0x422193ee, (q31_t)0x421c32a9, (q31_t)0x4216d13c, (q31_t)0x42116fa5, (q31_t)0x420c0de6, (q31_t)0x4206abfe, + (q31_t)0x420149ee, (q31_t)0x41fbe7b5, + (q31_t)0x41f68553, (q31_t)0x41f122c8, (q31_t)0x41ebc015, (q31_t)0x41e65d39, (q31_t)0x41e0fa35, (q31_t)0x41db9707, + (q31_t)0x41d633b1, (q31_t)0x41d0d033, + (q31_t)0x41cb6c8c, (q31_t)0x41c608bc, (q31_t)0x41c0a4c4, (q31_t)0x41bb40a3, (q31_t)0x41b5dc5a, (q31_t)0x41b077e8, + (q31_t)0x41ab134e, (q31_t)0x41a5ae8b, + (q31_t)0x41a049a0, (q31_t)0x419ae48c, (q31_t)0x41957f4f, (q31_t)0x419019eb, (q31_t)0x418ab45d, (q31_t)0x41854ea8, + (q31_t)0x417fe8ca, (q31_t)0x417a82c3, + (q31_t)0x41751c94, (q31_t)0x416fb63d, (q31_t)0x416a4fbd, (q31_t)0x4164e916, (q31_t)0x415f8245, (q31_t)0x415a1b4d, + (q31_t)0x4154b42c, (q31_t)0x414f4ce2, + (q31_t)0x4149e571, (q31_t)0x41447dd7, (q31_t)0x413f1615, (q31_t)0x4139ae2b, (q31_t)0x41344618, (q31_t)0x412edddd, + (q31_t)0x4129757b, (q31_t)0x41240cef, + (q31_t)0x411ea43c, (q31_t)0x41193b61, (q31_t)0x4113d25d, (q31_t)0x410e6931, (q31_t)0x4108ffdd, (q31_t)0x41039661, + (q31_t)0x40fe2cbd, (q31_t)0x40f8c2f1, + (q31_t)0x40f358fc, (q31_t)0x40edeee0, (q31_t)0x40e8849b, (q31_t)0x40e31a2f, (q31_t)0x40ddaf9b, (q31_t)0x40d844de, + (q31_t)0x40d2d9f9, (q31_t)0x40cd6eed, + (q31_t)0x40c803b8, (q31_t)0x40c2985c, (q31_t)0x40bd2cd8, (q31_t)0x40b7c12b, (q31_t)0x40b25557, (q31_t)0x40ace95b, + (q31_t)0x40a77d37, (q31_t)0x40a210eb, + (q31_t)0x409ca477, (q31_t)0x409737dc, (q31_t)0x4091cb18, (q31_t)0x408c5e2d, (q31_t)0x4086f11a, (q31_t)0x408183df, + (q31_t)0x407c167c, (q31_t)0x4076a8f1, + (q31_t)0x40713b3f, (q31_t)0x406bcd65, (q31_t)0x40665f63, (q31_t)0x4060f13a, (q31_t)0x405b82e9, (q31_t)0x40561470, + (q31_t)0x4050a5cf, (q31_t)0x404b3707, + (q31_t)0x4045c817, (q31_t)0x404058ff, (q31_t)0x403ae9c0, (q31_t)0x40357a59, (q31_t)0x40300acb, (q31_t)0x402a9b15, + (q31_t)0x40252b37, (q31_t)0x401fbb32, + (q31_t)0x401a4b05, (q31_t)0x4014dab1, (q31_t)0x400f6a35, (q31_t)0x4009f992, (q31_t)0x400488c7, (q31_t)0x3fff17d5, + (q31_t)0x3ff9a6bb, (q31_t)0x3ff4357a, + (q31_t)0x3feec411, (q31_t)0x3fe95281, (q31_t)0x3fe3e0c9, (q31_t)0x3fde6eeb, (q31_t)0x3fd8fce4, (q31_t)0x3fd38ab6, + (q31_t)0x3fce1861, (q31_t)0x3fc8a5e5, + (q31_t)0x3fc33341, (q31_t)0x3fbdc076, (q31_t)0x3fb84d83, (q31_t)0x3fb2da6a, (q31_t)0x3fad6729, (q31_t)0x3fa7f3c0, + (q31_t)0x3fa28031, (q31_t)0x3f9d0c7a, + (q31_t)0x3f97989c, (q31_t)0x3f922496, (q31_t)0x3f8cb06a, (q31_t)0x3f873c16, (q31_t)0x3f81c79b, (q31_t)0x3f7c52f9, + (q31_t)0x3f76de30, (q31_t)0x3f71693f, + (q31_t)0x3f6bf428, (q31_t)0x3f667ee9, (q31_t)0x3f610983, (q31_t)0x3f5b93f6, (q31_t)0x3f561e42, (q31_t)0x3f50a867, + (q31_t)0x3f4b3265, (q31_t)0x3f45bc3c, + (q31_t)0x3f4045ec, (q31_t)0x3f3acf75, (q31_t)0x3f3558d7, (q31_t)0x3f2fe211, (q31_t)0x3f2a6b25, (q31_t)0x3f24f412, + (q31_t)0x3f1f7cd8, (q31_t)0x3f1a0577, + (q31_t)0x3f148def, (q31_t)0x3f0f1640, (q31_t)0x3f099e6b, (q31_t)0x3f04266e, (q31_t)0x3efeae4a, (q31_t)0x3ef93600, + (q31_t)0x3ef3bd8f, (q31_t)0x3eee44f7, + (q31_t)0x3ee8cc38, (q31_t)0x3ee35352, (q31_t)0x3eddda46, (q31_t)0x3ed86113, (q31_t)0x3ed2e7b9, (q31_t)0x3ecd6e38, + (q31_t)0x3ec7f491, (q31_t)0x3ec27ac2, + (q31_t)0x3ebd00cd, (q31_t)0x3eb786b2, (q31_t)0x3eb20c6f, (q31_t)0x3eac9206, (q31_t)0x3ea71777, (q31_t)0x3ea19cc1, + (q31_t)0x3e9c21e4, (q31_t)0x3e96a6e0, + (q31_t)0x3e912bb6, (q31_t)0x3e8bb065, (q31_t)0x3e8634ee, (q31_t)0x3e80b950, (q31_t)0x3e7b3d8c, (q31_t)0x3e75c1a1, + (q31_t)0x3e70458f, (q31_t)0x3e6ac957, + (q31_t)0x3e654cf8, (q31_t)0x3e5fd073, (q31_t)0x3e5a53c8, (q31_t)0x3e54d6f6, (q31_t)0x3e4f59fe, (q31_t)0x3e49dcdf, + (q31_t)0x3e445f99, (q31_t)0x3e3ee22e, + (q31_t)0x3e39649c, (q31_t)0x3e33e6e3, (q31_t)0x3e2e6904, (q31_t)0x3e28eaff, (q31_t)0x3e236cd4, (q31_t)0x3e1dee82, + (q31_t)0x3e18700a, (q31_t)0x3e12f16b, + (q31_t)0x3e0d72a6, (q31_t)0x3e07f3bb, (q31_t)0x3e0274aa, (q31_t)0x3dfcf572, (q31_t)0x3df77615, (q31_t)0x3df1f691, + (q31_t)0x3dec76e6, (q31_t)0x3de6f716, + (q31_t)0x3de1771f, (q31_t)0x3ddbf703, (q31_t)0x3dd676c0, (q31_t)0x3dd0f656, (q31_t)0x3dcb75c7, (q31_t)0x3dc5f512, + (q31_t)0x3dc07436, (q31_t)0x3dbaf335, + (q31_t)0x3db5720d, (q31_t)0x3daff0c0, (q31_t)0x3daa6f4c, (q31_t)0x3da4edb2, (q31_t)0x3d9f6bf2, (q31_t)0x3d99ea0d, + (q31_t)0x3d946801, (q31_t)0x3d8ee5cf, + (q31_t)0x3d896377, (q31_t)0x3d83e0f9, (q31_t)0x3d7e5e56, (q31_t)0x3d78db8c, (q31_t)0x3d73589d, (q31_t)0x3d6dd587, + (q31_t)0x3d68524c, (q31_t)0x3d62ceeb, + (q31_t)0x3d5d4b64, (q31_t)0x3d57c7b7, (q31_t)0x3d5243e4, (q31_t)0x3d4cbfeb, (q31_t)0x3d473bcd, (q31_t)0x3d41b789, + (q31_t)0x3d3c331f, (q31_t)0x3d36ae8f, + (q31_t)0x3d3129da, (q31_t)0x3d2ba4fe, (q31_t)0x3d261ffd, (q31_t)0x3d209ad7, (q31_t)0x3d1b158a, (q31_t)0x3d159018, + (q31_t)0x3d100a80, (q31_t)0x3d0a84c3, + (q31_t)0x3d04fee0, (q31_t)0x3cff78d7, (q31_t)0x3cf9f2a9, (q31_t)0x3cf46c55, (q31_t)0x3ceee5db, (q31_t)0x3ce95f3c, + (q31_t)0x3ce3d877, (q31_t)0x3cde518d, + (q31_t)0x3cd8ca7d, (q31_t)0x3cd34347, (q31_t)0x3ccdbbed, (q31_t)0x3cc8346c, (q31_t)0x3cc2acc6, (q31_t)0x3cbd24fb, + (q31_t)0x3cb79d0a, (q31_t)0x3cb214f4, + (q31_t)0x3cac8cb8, (q31_t)0x3ca70457, (q31_t)0x3ca17bd0, (q31_t)0x3c9bf324, (q31_t)0x3c966a53, (q31_t)0x3c90e15c, + (q31_t)0x3c8b5840, (q31_t)0x3c85cefe, + (q31_t)0x3c804598, (q31_t)0x3c7abc0c, (q31_t)0x3c75325a, (q31_t)0x3c6fa883, (q31_t)0x3c6a1e87, (q31_t)0x3c649466, + (q31_t)0x3c5f0a20, (q31_t)0x3c597fb4, + (q31_t)0x3c53f523, (q31_t)0x3c4e6a6d, (q31_t)0x3c48df91, (q31_t)0x3c435491, (q31_t)0x3c3dc96b, (q31_t)0x3c383e20, + (q31_t)0x3c32b2b0, (q31_t)0x3c2d271b, + (q31_t)0x3c279b61, (q31_t)0x3c220f81, (q31_t)0x3c1c837d, (q31_t)0x3c16f753, (q31_t)0x3c116b04, (q31_t)0x3c0bde91, + (q31_t)0x3c0651f8, (q31_t)0x3c00c53a, + (q31_t)0x3bfb3857, (q31_t)0x3bf5ab50, (q31_t)0x3bf01e23, (q31_t)0x3bea90d1, (q31_t)0x3be5035a, (q31_t)0x3bdf75bf, + (q31_t)0x3bd9e7fe, (q31_t)0x3bd45a19, + (q31_t)0x3bcecc0e, (q31_t)0x3bc93ddf, (q31_t)0x3bc3af8b, (q31_t)0x3bbe2112, (q31_t)0x3bb89274, (q31_t)0x3bb303b1, + (q31_t)0x3bad74c9, (q31_t)0x3ba7e5bd, + (q31_t)0x3ba2568c, (q31_t)0x3b9cc736, (q31_t)0x3b9737bb, (q31_t)0x3b91a81c, (q31_t)0x3b8c1857, (q31_t)0x3b86886e, + (q31_t)0x3b80f861, (q31_t)0x3b7b682e, + (q31_t)0x3b75d7d7, (q31_t)0x3b70475c, (q31_t)0x3b6ab6bb, (q31_t)0x3b6525f6, (q31_t)0x3b5f950c, (q31_t)0x3b5a03fe, + (q31_t)0x3b5472cb, (q31_t)0x3b4ee173, + (q31_t)0x3b494ff7, (q31_t)0x3b43be57, (q31_t)0x3b3e2c91, (q31_t)0x3b389aa8, (q31_t)0x3b330899, (q31_t)0x3b2d7666, + (q31_t)0x3b27e40f, (q31_t)0x3b225193, + (q31_t)0x3b1cbef3, (q31_t)0x3b172c2e, (q31_t)0x3b119945, (q31_t)0x3b0c0637, (q31_t)0x3b067305, (q31_t)0x3b00dfaf, + (q31_t)0x3afb4c34, (q31_t)0x3af5b894, + (q31_t)0x3af024d1, (q31_t)0x3aea90e9, (q31_t)0x3ae4fcdc, (q31_t)0x3adf68ac, (q31_t)0x3ad9d457, (q31_t)0x3ad43fdd, + (q31_t)0x3aceab40, (q31_t)0x3ac9167e, + (q31_t)0x3ac38198, (q31_t)0x3abdec8d, (q31_t)0x3ab8575f, (q31_t)0x3ab2c20c, (q31_t)0x3aad2c95, (q31_t)0x3aa796fa, + (q31_t)0x3aa2013a, (q31_t)0x3a9c6b57, + (q31_t)0x3a96d54f, (q31_t)0x3a913f23, (q31_t)0x3a8ba8d3, (q31_t)0x3a86125f, (q31_t)0x3a807bc7, (q31_t)0x3a7ae50a, + (q31_t)0x3a754e2a, (q31_t)0x3a6fb726, + (q31_t)0x3a6a1ffd, (q31_t)0x3a6488b1, (q31_t)0x3a5ef140, (q31_t)0x3a5959ab, (q31_t)0x3a53c1f3, (q31_t)0x3a4e2a16, + (q31_t)0x3a489216, (q31_t)0x3a42f9f2, + (q31_t)0x3a3d61a9, (q31_t)0x3a37c93d, (q31_t)0x3a3230ad, (q31_t)0x3a2c97f9, (q31_t)0x3a26ff21, (q31_t)0x3a216625, + (q31_t)0x3a1bcd05, (q31_t)0x3a1633c1, + (q31_t)0x3a109a5a, (q31_t)0x3a0b00cf, (q31_t)0x3a056720, (q31_t)0x39ffcd4d, (q31_t)0x39fa3356, (q31_t)0x39f4993c, + (q31_t)0x39eefefe, (q31_t)0x39e9649c, + (q31_t)0x39e3ca17, (q31_t)0x39de2f6d, (q31_t)0x39d894a0, (q31_t)0x39d2f9b0, (q31_t)0x39cd5e9b, (q31_t)0x39c7c363, + (q31_t)0x39c22808, (q31_t)0x39bc8c89, + (q31_t)0x39b6f0e6, (q31_t)0x39b1551f, (q31_t)0x39abb935, (q31_t)0x39a61d28, (q31_t)0x39a080f6, (q31_t)0x399ae4a2, + (q31_t)0x39954829, (q31_t)0x398fab8e, + (q31_t)0x398a0ece, (q31_t)0x398471ec, (q31_t)0x397ed4e5, (q31_t)0x397937bc, (q31_t)0x39739a6e, (q31_t)0x396dfcfe, + (q31_t)0x39685f6a, (q31_t)0x3962c1b2, + (q31_t)0x395d23d7, (q31_t)0x395785d9, (q31_t)0x3951e7b8, (q31_t)0x394c4973, (q31_t)0x3946ab0a, (q31_t)0x39410c7f, + (q31_t)0x393b6dd0, (q31_t)0x3935cefd, + (q31_t)0x39303008, (q31_t)0x392a90ef, (q31_t)0x3924f1b3, (q31_t)0x391f5254, (q31_t)0x3919b2d1, (q31_t)0x3914132b, + (q31_t)0x390e7362, (q31_t)0x3908d376, + (q31_t)0x39033367, (q31_t)0x38fd9334, (q31_t)0x38f7f2de, (q31_t)0x38f25266, (q31_t)0x38ecb1ca, (q31_t)0x38e7110a, + (q31_t)0x38e17028, (q31_t)0x38dbcf23, + (q31_t)0x38d62dfb, (q31_t)0x38d08caf, (q31_t)0x38caeb41, (q31_t)0x38c549af, (q31_t)0x38bfa7fb, (q31_t)0x38ba0623, + (q31_t)0x38b46429, (q31_t)0x38aec20b, + (q31_t)0x38a91fcb, (q31_t)0x38a37d67, (q31_t)0x389ddae1, (q31_t)0x38983838, (q31_t)0x3892956c, (q31_t)0x388cf27d, + (q31_t)0x38874f6b, (q31_t)0x3881ac36, + (q31_t)0x387c08de, (q31_t)0x38766564, (q31_t)0x3870c1c6, (q31_t)0x386b1e06, (q31_t)0x38657a23, (q31_t)0x385fd61d, + (q31_t)0x385a31f5, (q31_t)0x38548daa, + (q31_t)0x384ee93b, (q31_t)0x384944ab, (q31_t)0x38439ff7, (q31_t)0x383dfb21, (q31_t)0x38385628, (q31_t)0x3832b10d, + (q31_t)0x382d0bce, (q31_t)0x3827666d, + (q31_t)0x3821c0ea, (q31_t)0x381c1b44, (q31_t)0x3816757b, (q31_t)0x3810cf90, (q31_t)0x380b2982, (q31_t)0x38058351, + (q31_t)0x37ffdcfe, (q31_t)0x37fa3688, + (q31_t)0x37f48ff0, (q31_t)0x37eee936, (q31_t)0x37e94259, (q31_t)0x37e39b59, (q31_t)0x37ddf437, (q31_t)0x37d84cf2, + (q31_t)0x37d2a58b, (q31_t)0x37ccfe02, + (q31_t)0x37c75656, (q31_t)0x37c1ae87, (q31_t)0x37bc0697, (q31_t)0x37b65e84, (q31_t)0x37b0b64e, (q31_t)0x37ab0df6, + (q31_t)0x37a5657c, (q31_t)0x379fbce0, + (q31_t)0x379a1421, (q31_t)0x37946b40, (q31_t)0x378ec23d, (q31_t)0x37891917, (q31_t)0x37836fcf, (q31_t)0x377dc665, + (q31_t)0x37781cd9, (q31_t)0x3772732a, + (q31_t)0x376cc959, (q31_t)0x37671f66, (q31_t)0x37617551, (q31_t)0x375bcb1a, (q31_t)0x375620c1, (q31_t)0x37507645, + (q31_t)0x374acba7, (q31_t)0x374520e7, + (q31_t)0x373f7606, (q31_t)0x3739cb02, (q31_t)0x37341fdc, (q31_t)0x372e7493, (q31_t)0x3728c929, (q31_t)0x37231d9d, + (q31_t)0x371d71ef, (q31_t)0x3717c61f, + (q31_t)0x37121a2d, (q31_t)0x370c6e19, (q31_t)0x3706c1e2, (q31_t)0x3701158a, (q31_t)0x36fb6910, (q31_t)0x36f5bc75, + (q31_t)0x36f00fb7, (q31_t)0x36ea62d7, + (q31_t)0x36e4b5d6, (q31_t)0x36df08b2, (q31_t)0x36d95b6d, (q31_t)0x36d3ae06, (q31_t)0x36ce007d, (q31_t)0x36c852d2, + (q31_t)0x36c2a506, (q31_t)0x36bcf718, + (q31_t)0x36b74908, (q31_t)0x36b19ad6, (q31_t)0x36abec82, (q31_t)0x36a63e0d, (q31_t)0x36a08f76, (q31_t)0x369ae0bd, + (q31_t)0x369531e3, (q31_t)0x368f82e7, + (q31_t)0x3689d3c9, (q31_t)0x3684248a, (q31_t)0x367e7529, (q31_t)0x3678c5a7, (q31_t)0x36731602, (q31_t)0x366d663d, + (q31_t)0x3667b655, (q31_t)0x3662064c, + (q31_t)0x365c5622, (q31_t)0x3656a5d6, (q31_t)0x3650f569, (q31_t)0x364b44da, (q31_t)0x36459429, (q31_t)0x363fe357, + (q31_t)0x363a3264, (q31_t)0x3634814f, + (q31_t)0x362ed019, (q31_t)0x36291ec1, (q31_t)0x36236d48, (q31_t)0x361dbbad, (q31_t)0x361809f1, (q31_t)0x36125814, + (q31_t)0x360ca615, (q31_t)0x3606f3f5, + (q31_t)0x360141b4, (q31_t)0x35fb8f52, (q31_t)0x35f5dcce, (q31_t)0x35f02a28, (q31_t)0x35ea7762, (q31_t)0x35e4c47a, + (q31_t)0x35df1171, (q31_t)0x35d95e47, + (q31_t)0x35d3aafc, (q31_t)0x35cdf78f, (q31_t)0x35c84401, (q31_t)0x35c29052, (q31_t)0x35bcdc82, (q31_t)0x35b72891, + (q31_t)0x35b1747e, (q31_t)0x35abc04b, + (q31_t)0x35a60bf6, (q31_t)0x35a05781, (q31_t)0x359aa2ea, (q31_t)0x3594ee32, (q31_t)0x358f3959, (q31_t)0x3589845f, + (q31_t)0x3583cf44, (q31_t)0x357e1a08, + (q31_t)0x357864ab, (q31_t)0x3572af2d, (q31_t)0x356cf98e, (q31_t)0x356743ce, (q31_t)0x35618ded, (q31_t)0x355bd7eb, + (q31_t)0x355621c9, (q31_t)0x35506b85, + (q31_t)0x354ab520, (q31_t)0x3544fe9b, (q31_t)0x353f47f5, (q31_t)0x3539912e, (q31_t)0x3533da46, (q31_t)0x352e233d, + (q31_t)0x35286c14, (q31_t)0x3522b4c9, + (q31_t)0x351cfd5e, (q31_t)0x351745d2, (q31_t)0x35118e26, (q31_t)0x350bd658, (q31_t)0x35061e6a, (q31_t)0x3500665c, + (q31_t)0x34faae2c, (q31_t)0x34f4f5dc, + (q31_t)0x34ef3d6b, (q31_t)0x34e984da, (q31_t)0x34e3cc28, (q31_t)0x34de1355, (q31_t)0x34d85a62, (q31_t)0x34d2a14e, + (q31_t)0x34cce819, (q31_t)0x34c72ec4, + (q31_t)0x34c1754e, (q31_t)0x34bbbbb8, (q31_t)0x34b60202, (q31_t)0x34b0482a, (q31_t)0x34aa8e33, (q31_t)0x34a4d41a, + (q31_t)0x349f19e2, (q31_t)0x34995f88, + (q31_t)0x3493a50f, (q31_t)0x348dea75, (q31_t)0x34882fba, (q31_t)0x348274e0, (q31_t)0x347cb9e4, (q31_t)0x3476fec9, + (q31_t)0x3471438d, (q31_t)0x346b8830, + (q31_t)0x3465ccb4, (q31_t)0x34601117, (q31_t)0x345a5559, (q31_t)0x3454997c, (q31_t)0x344edd7e, (q31_t)0x34492160, + (q31_t)0x34436521, (q31_t)0x343da8c3, + (q31_t)0x3437ec44, (q31_t)0x34322fa5, (q31_t)0x342c72e6, (q31_t)0x3426b606, (q31_t)0x3420f907, (q31_t)0x341b3be7, + (q31_t)0x34157ea7, (q31_t)0x340fc147, + (q31_t)0x340a03c7, (q31_t)0x34044626, (q31_t)0x33fe8866, (q31_t)0x33f8ca86, (q31_t)0x33f30c85, (q31_t)0x33ed4e65, + (q31_t)0x33e79024, (q31_t)0x33e1d1c4, + (q31_t)0x33dc1343, (q31_t)0x33d654a2, (q31_t)0x33d095e2, (q31_t)0x33cad701, (q31_t)0x33c51801, (q31_t)0x33bf58e1, + (q31_t)0x33b999a0, (q31_t)0x33b3da40, + (q31_t)0x33ae1ac0, (q31_t)0x33a85b20, (q31_t)0x33a29b60, (q31_t)0x339cdb81, (q31_t)0x33971b81, (q31_t)0x33915b62, + (q31_t)0x338b9b22, (q31_t)0x3385dac4, + (q31_t)0x33801a45, (q31_t)0x337a59a6, (q31_t)0x337498e8, (q31_t)0x336ed80a, (q31_t)0x3369170c, (q31_t)0x336355ef, + (q31_t)0x335d94b2, (q31_t)0x3357d355, + (q31_t)0x335211d8, (q31_t)0x334c503c, (q31_t)0x33468e80, (q31_t)0x3340cca5, (q31_t)0x333b0aaa, (q31_t)0x3335488f, + (q31_t)0x332f8655, (q31_t)0x3329c3fb, + (q31_t)0x33240182, (q31_t)0x331e3ee9, (q31_t)0x33187c31, (q31_t)0x3312b959, (q31_t)0x330cf661, (q31_t)0x3307334a, + (q31_t)0x33017014, (q31_t)0x32fbacbe, + (q31_t)0x32f5e948, (q31_t)0x32f025b4, (q31_t)0x32ea61ff, (q31_t)0x32e49e2c, (q31_t)0x32deda39, (q31_t)0x32d91626, + (q31_t)0x32d351f5, (q31_t)0x32cd8da4, + (q31_t)0x32c7c933, (q31_t)0x32c204a3, (q31_t)0x32bc3ff4, (q31_t)0x32b67b26, (q31_t)0x32b0b638, (q31_t)0x32aaf12b, + (q31_t)0x32a52bff, (q31_t)0x329f66b4, + (q31_t)0x3299a149, (q31_t)0x3293dbbf, (q31_t)0x328e1616, (q31_t)0x3288504e, (q31_t)0x32828a67, (q31_t)0x327cc460, + (q31_t)0x3276fe3a, (q31_t)0x327137f6, + (q31_t)0x326b7192, (q31_t)0x3265ab0f, (q31_t)0x325fe46c, (q31_t)0x325a1dab, (q31_t)0x325456cb, (q31_t)0x324e8fcc, + (q31_t)0x3248c8ad, (q31_t)0x32430170, + (q31_t)0x323d3a14, (q31_t)0x32377298, (q31_t)0x3231aafe, (q31_t)0x322be345, (q31_t)0x32261b6c, (q31_t)0x32205375, + (q31_t)0x321a8b5f, (q31_t)0x3214c32a, + (q31_t)0x320efad6, (q31_t)0x32093263, (q31_t)0x320369d2, (q31_t)0x31fda121, (q31_t)0x31f7d852, (q31_t)0x31f20f64, + (q31_t)0x31ec4657, (q31_t)0x31e67d2b, + (q31_t)0x31e0b3e0, (q31_t)0x31daea77, (q31_t)0x31d520ef, (q31_t)0x31cf5748, (q31_t)0x31c98d83, (q31_t)0x31c3c39e, + (q31_t)0x31bdf99b, (q31_t)0x31b82f7a, + (q31_t)0x31b2653a, (q31_t)0x31ac9adb, (q31_t)0x31a6d05d, (q31_t)0x31a105c1, (q31_t)0x319b3b06, (q31_t)0x3195702d, + (q31_t)0x318fa535, (q31_t)0x3189da1e, + (q31_t)0x31840ee9, (q31_t)0x317e4395, (q31_t)0x31787823, (q31_t)0x3172ac92, (q31_t)0x316ce0e3, (q31_t)0x31671515, + (q31_t)0x31614929, (q31_t)0x315b7d1e, + (q31_t)0x3155b0f5, (q31_t)0x314fe4ae, (q31_t)0x314a1848, (q31_t)0x31444bc3, (q31_t)0x313e7f21, (q31_t)0x3138b260, + (q31_t)0x3132e580, (q31_t)0x312d1882, + (q31_t)0x31274b66, (q31_t)0x31217e2c, (q31_t)0x311bb0d3, (q31_t)0x3115e35c, (q31_t)0x311015c6, (q31_t)0x310a4813, + (q31_t)0x31047a41, (q31_t)0x30feac51, + (q31_t)0x30f8de42, (q31_t)0x30f31016, (q31_t)0x30ed41cb, (q31_t)0x30e77362, (q31_t)0x30e1a4db, (q31_t)0x30dbd636, + (q31_t)0x30d60772, (q31_t)0x30d03891, + (q31_t)0x30ca6991, (q31_t)0x30c49a74, (q31_t)0x30becb38, (q31_t)0x30b8fbde, (q31_t)0x30b32c66, (q31_t)0x30ad5cd0, + (q31_t)0x30a78d1c, (q31_t)0x30a1bd4a, + (q31_t)0x309bed5a, (q31_t)0x30961d4c, (q31_t)0x30904d20, (q31_t)0x308a7cd6, (q31_t)0x3084ac6e, (q31_t)0x307edbe9, + (q31_t)0x30790b45, (q31_t)0x30733a83, + (q31_t)0x306d69a4, (q31_t)0x306798a7, (q31_t)0x3061c78b, (q31_t)0x305bf652, (q31_t)0x305624fb, (q31_t)0x30505387, + (q31_t)0x304a81f4, (q31_t)0x3044b044, + (q31_t)0x303ede76, (q31_t)0x30390c8a, (q31_t)0x30333a80, (q31_t)0x302d6859, (q31_t)0x30279614, (q31_t)0x3021c3b1, + (q31_t)0x301bf131, (q31_t)0x30161e93, + (q31_t)0x30104bd7, (q31_t)0x300a78fe, (q31_t)0x3004a607, (q31_t)0x2ffed2f2, (q31_t)0x2ff8ffc0, (q31_t)0x2ff32c70, + (q31_t)0x2fed5902, (q31_t)0x2fe78577, + (q31_t)0x2fe1b1cf, (q31_t)0x2fdbde09, (q31_t)0x2fd60a25, (q31_t)0x2fd03624, (q31_t)0x2fca6206, (q31_t)0x2fc48dc9, + (q31_t)0x2fbeb970, (q31_t)0x2fb8e4f9, + (q31_t)0x2fb31064, (q31_t)0x2fad3bb3, (q31_t)0x2fa766e3, (q31_t)0x2fa191f7, (q31_t)0x2f9bbced, (q31_t)0x2f95e7c5, + (q31_t)0x2f901280, (q31_t)0x2f8a3d1e, + (q31_t)0x2f84679f, (q31_t)0x2f7e9202, (q31_t)0x2f78bc48, (q31_t)0x2f72e671, (q31_t)0x2f6d107c, (q31_t)0x2f673a6a, + (q31_t)0x2f61643b, (q31_t)0x2f5b8def, + (q31_t)0x2f55b785, (q31_t)0x2f4fe0ff, (q31_t)0x2f4a0a5b, (q31_t)0x2f44339a, (q31_t)0x2f3e5cbb, (q31_t)0x2f3885c0, + (q31_t)0x2f32aea8, (q31_t)0x2f2cd772, + (q31_t)0x2f27001f, (q31_t)0x2f2128af, (q31_t)0x2f1b5122, (q31_t)0x2f157979, (q31_t)0x2f0fa1b2, (q31_t)0x2f09c9ce, + (q31_t)0x2f03f1cd, (q31_t)0x2efe19ae, + (q31_t)0x2ef84173, (q31_t)0x2ef2691b, (q31_t)0x2eec90a7, (q31_t)0x2ee6b815, (q31_t)0x2ee0df66, (q31_t)0x2edb069a, + (q31_t)0x2ed52db1, (q31_t)0x2ecf54ac, + (q31_t)0x2ec97b89, (q31_t)0x2ec3a24a, (q31_t)0x2ebdc8ee, (q31_t)0x2eb7ef75, (q31_t)0x2eb215df, (q31_t)0x2eac3c2d, + (q31_t)0x2ea6625d, (q31_t)0x2ea08871, + (q31_t)0x2e9aae68, (q31_t)0x2e94d443, (q31_t)0x2e8efa00, (q31_t)0x2e891fa1, (q31_t)0x2e834525, (q31_t)0x2e7d6a8d, + (q31_t)0x2e778fd8, (q31_t)0x2e71b506, + (q31_t)0x2e6bda17, (q31_t)0x2e65ff0c, (q31_t)0x2e6023e5, (q31_t)0x2e5a48a0, (q31_t)0x2e546d3f, (q31_t)0x2e4e91c2, + (q31_t)0x2e48b628, (q31_t)0x2e42da71, + (q31_t)0x2e3cfe9e, (q31_t)0x2e3722ae, (q31_t)0x2e3146a2, (q31_t)0x2e2b6a79, (q31_t)0x2e258e34, (q31_t)0x2e1fb1d3, + (q31_t)0x2e19d554, (q31_t)0x2e13f8ba, + (q31_t)0x2e0e1c03, (q31_t)0x2e083f30, (q31_t)0x2e026240, (q31_t)0x2dfc8534, (q31_t)0x2df6a80b, (q31_t)0x2df0cac6, + (q31_t)0x2deaed65, (q31_t)0x2de50fe8, + (q31_t)0x2ddf324e, (q31_t)0x2dd95498, (q31_t)0x2dd376c5, (q31_t)0x2dcd98d7, (q31_t)0x2dc7bacc, (q31_t)0x2dc1dca4, + (q31_t)0x2dbbfe61, (q31_t)0x2db62001, + (q31_t)0x2db04186, (q31_t)0x2daa62ee, (q31_t)0x2da4843a, (q31_t)0x2d9ea569, (q31_t)0x2d98c67d, (q31_t)0x2d92e774, + (q31_t)0x2d8d084f, (q31_t)0x2d87290f, + (q31_t)0x2d8149b2, (q31_t)0x2d7b6a39, (q31_t)0x2d758aa4, (q31_t)0x2d6faaf3, (q31_t)0x2d69cb26, (q31_t)0x2d63eb3d, + (q31_t)0x2d5e0b38, (q31_t)0x2d582b17, + (q31_t)0x2d524ada, (q31_t)0x2d4c6a81, (q31_t)0x2d468a0c, (q31_t)0x2d40a97b, (q31_t)0x2d3ac8ce, (q31_t)0x2d34e805, + (q31_t)0x2d2f0721, (q31_t)0x2d292620, + (q31_t)0x2d234504, (q31_t)0x2d1d63cc, (q31_t)0x2d178278, (q31_t)0x2d11a108, (q31_t)0x2d0bbf7d, (q31_t)0x2d05ddd5, + (q31_t)0x2cfffc12, (q31_t)0x2cfa1a33, + (q31_t)0x2cf43839, (q31_t)0x2cee5622, (q31_t)0x2ce873f0, (q31_t)0x2ce291a2, (q31_t)0x2cdcaf39, (q31_t)0x2cd6ccb4, + (q31_t)0x2cd0ea13, (q31_t)0x2ccb0756, + (q31_t)0x2cc5247e, (q31_t)0x2cbf418b, (q31_t)0x2cb95e7b, (q31_t)0x2cb37b51, (q31_t)0x2cad980a, (q31_t)0x2ca7b4a8, + (q31_t)0x2ca1d12a, (q31_t)0x2c9bed91, + (q31_t)0x2c9609dd, (q31_t)0x2c90260d, (q31_t)0x2c8a4221, (q31_t)0x2c845e1a, (q31_t)0x2c7e79f7, (q31_t)0x2c7895b9, + (q31_t)0x2c72b160, (q31_t)0x2c6ccceb, + (q31_t)0x2c66e85b, (q31_t)0x2c6103af, (q31_t)0x2c5b1ee8, (q31_t)0x2c553a06, (q31_t)0x2c4f5508, (q31_t)0x2c496fef, + (q31_t)0x2c438abb, (q31_t)0x2c3da56b, + (q31_t)0x2c37c000, (q31_t)0x2c31da7a, (q31_t)0x2c2bf4d8, (q31_t)0x2c260f1c, (q31_t)0x2c202944, (q31_t)0x2c1a4351, + (q31_t)0x2c145d42, (q31_t)0x2c0e7719, + (q31_t)0x2c0890d4, (q31_t)0x2c02aa74, (q31_t)0x2bfcc3f9, (q31_t)0x2bf6dd63, (q31_t)0x2bf0f6b1, (q31_t)0x2beb0fe5, + (q31_t)0x2be528fd, (q31_t)0x2bdf41fb, + (q31_t)0x2bd95add, (q31_t)0x2bd373a4, (q31_t)0x2bcd8c51, (q31_t)0x2bc7a4e2, (q31_t)0x2bc1bd58, (q31_t)0x2bbbd5b3, + (q31_t)0x2bb5edf4, (q31_t)0x2bb00619, + (q31_t)0x2baa1e23, (q31_t)0x2ba43613, (q31_t)0x2b9e4de7, (q31_t)0x2b9865a1, (q31_t)0x2b927d3f, (q31_t)0x2b8c94c3, + (q31_t)0x2b86ac2c, (q31_t)0x2b80c37a, + (q31_t)0x2b7adaae, (q31_t)0x2b74f1c6, (q31_t)0x2b6f08c4, (q31_t)0x2b691fa6, (q31_t)0x2b63366f, (q31_t)0x2b5d4d1c, + (q31_t)0x2b5763ae, (q31_t)0x2b517a26, + (q31_t)0x2b4b9083, (q31_t)0x2b45a6c6, (q31_t)0x2b3fbced, (q31_t)0x2b39d2fa, (q31_t)0x2b33e8ed, (q31_t)0x2b2dfec5, + (q31_t)0x2b281482, (q31_t)0x2b222a24, + (q31_t)0x2b1c3fac, (q31_t)0x2b165519, (q31_t)0x2b106a6c, (q31_t)0x2b0a7fa4, (q31_t)0x2b0494c2, (q31_t)0x2afea9c5, + (q31_t)0x2af8bead, (q31_t)0x2af2d37b, + (q31_t)0x2aece82f, (q31_t)0x2ae6fcc8, (q31_t)0x2ae11146, (q31_t)0x2adb25aa, (q31_t)0x2ad539f4, (q31_t)0x2acf4e23, + (q31_t)0x2ac96238, (q31_t)0x2ac37633, + (q31_t)0x2abd8a13, (q31_t)0x2ab79dd8, (q31_t)0x2ab1b184, (q31_t)0x2aabc515, (q31_t)0x2aa5d88b, (q31_t)0x2a9febe8, + (q31_t)0x2a99ff2a, (q31_t)0x2a941252, + (q31_t)0x2a8e255f, (q31_t)0x2a883853, (q31_t)0x2a824b2c, (q31_t)0x2a7c5deb, (q31_t)0x2a76708f, (q31_t)0x2a70831a, + (q31_t)0x2a6a958a, (q31_t)0x2a64a7e0, + (q31_t)0x2a5eba1c, (q31_t)0x2a58cc3e, (q31_t)0x2a52de46, (q31_t)0x2a4cf033, (q31_t)0x2a470207, (q31_t)0x2a4113c0, + (q31_t)0x2a3b2560, (q31_t)0x2a3536e5, + (q31_t)0x2a2f4850, (q31_t)0x2a2959a1, (q31_t)0x2a236ad9, (q31_t)0x2a1d7bf6, (q31_t)0x2a178cf9, (q31_t)0x2a119de2, + (q31_t)0x2a0baeb2, (q31_t)0x2a05bf67, + (q31_t)0x29ffd003, (q31_t)0x29f9e084, (q31_t)0x29f3f0ec, (q31_t)0x29ee013a, (q31_t)0x29e8116e, (q31_t)0x29e22188, + (q31_t)0x29dc3188, (q31_t)0x29d6416f, + (q31_t)0x29d0513b, (q31_t)0x29ca60ee, (q31_t)0x29c47087, (q31_t)0x29be8007, (q31_t)0x29b88f6c, (q31_t)0x29b29eb8, + (q31_t)0x29acadea, (q31_t)0x29a6bd02, + (q31_t)0x29a0cc01, (q31_t)0x299adae6, (q31_t)0x2994e9b1, (q31_t)0x298ef863, (q31_t)0x298906fb, (q31_t)0x2983157a, + (q31_t)0x297d23df, (q31_t)0x2977322a, + (q31_t)0x2971405b, (q31_t)0x296b4e74, (q31_t)0x29655c72, (q31_t)0x295f6a57, (q31_t)0x29597823, (q31_t)0x295385d5, + (q31_t)0x294d936d, (q31_t)0x2947a0ec, + (q31_t)0x2941ae52, (q31_t)0x293bbb9e, (q31_t)0x2935c8d1, (q31_t)0x292fd5ea, (q31_t)0x2929e2ea, (q31_t)0x2923efd0, + (q31_t)0x291dfc9d, (q31_t)0x29180951, + (q31_t)0x291215eb, (q31_t)0x290c226c, (q31_t)0x29062ed4, (q31_t)0x29003b23, (q31_t)0x28fa4758, (q31_t)0x28f45374, + (q31_t)0x28ee5f76, (q31_t)0x28e86b5f, + (q31_t)0x28e27730, (q31_t)0x28dc82e6, (q31_t)0x28d68e84, (q31_t)0x28d09a09, (q31_t)0x28caa574, (q31_t)0x28c4b0c6, + (q31_t)0x28bebbff, (q31_t)0x28b8c71f, + (q31_t)0x28b2d226, (q31_t)0x28acdd13, (q31_t)0x28a6e7e8, (q31_t)0x28a0f2a3, (q31_t)0x289afd46, (q31_t)0x289507cf, + (q31_t)0x288f123f, (q31_t)0x28891c97, + (q31_t)0x288326d5, (q31_t)0x287d30fa, (q31_t)0x28773b07, (q31_t)0x287144fa, (q31_t)0x286b4ed5, (q31_t)0x28655896, + (q31_t)0x285f623f, (q31_t)0x28596bce, + (q31_t)0x28537545, (q31_t)0x284d7ea3, (q31_t)0x284787e8, (q31_t)0x28419114, (q31_t)0x283b9a28, (q31_t)0x2835a322, + (q31_t)0x282fac04, (q31_t)0x2829b4cd, + (q31_t)0x2823bd7d, (q31_t)0x281dc615, (q31_t)0x2817ce93, (q31_t)0x2811d6f9, (q31_t)0x280bdf46, (q31_t)0x2805e77b, + (q31_t)0x27ffef97, (q31_t)0x27f9f79a, + (q31_t)0x27f3ff85, (q31_t)0x27ee0756, (q31_t)0x27e80f10, (q31_t)0x27e216b0, (q31_t)0x27dc1e38, (q31_t)0x27d625a8, + (q31_t)0x27d02cff, (q31_t)0x27ca343d, + (q31_t)0x27c43b63, (q31_t)0x27be4270, (q31_t)0x27b84965, (q31_t)0x27b25041, (q31_t)0x27ac5705, (q31_t)0x27a65db0, + (q31_t)0x27a06443, (q31_t)0x279a6abd, + (q31_t)0x2794711f, (q31_t)0x278e7768, (q31_t)0x27887d99, (q31_t)0x278283b2, (q31_t)0x277c89b3, (q31_t)0x27768f9b, + (q31_t)0x2770956a, (q31_t)0x276a9b21, + (q31_t)0x2764a0c0, (q31_t)0x275ea647, (q31_t)0x2758abb6, (q31_t)0x2752b10c, (q31_t)0x274cb64a, (q31_t)0x2746bb6f, + (q31_t)0x2740c07d, (q31_t)0x273ac572, + (q31_t)0x2734ca4f, (q31_t)0x272ecf14, (q31_t)0x2728d3c0, (q31_t)0x2722d855, (q31_t)0x271cdcd1, (q31_t)0x2716e136, + (q31_t)0x2710e582, (q31_t)0x270ae9b6, + (q31_t)0x2704edd2, (q31_t)0x26fef1d5, (q31_t)0x26f8f5c1, (q31_t)0x26f2f995, (q31_t)0x26ecfd51, (q31_t)0x26e700f5, + (q31_t)0x26e10480, (q31_t)0x26db07f4, + (q31_t)0x26d50b50, (q31_t)0x26cf0e94, (q31_t)0x26c911c0, (q31_t)0x26c314d4, (q31_t)0x26bd17d0, (q31_t)0x26b71ab4, + (q31_t)0x26b11d80, (q31_t)0x26ab2034, + (q31_t)0x26a522d1, (q31_t)0x269f2556, (q31_t)0x269927c3, (q31_t)0x26932a18, (q31_t)0x268d2c55, (q31_t)0x26872e7b, + (q31_t)0x26813088, (q31_t)0x267b327e, + (q31_t)0x2675345d, (q31_t)0x266f3623, (q31_t)0x266937d2, (q31_t)0x26633969, (q31_t)0x265d3ae9, (q31_t)0x26573c50, + (q31_t)0x26513da1, (q31_t)0x264b3ed9, + (q31_t)0x26453ffa, (q31_t)0x263f4103, (q31_t)0x263941f5, (q31_t)0x263342cf, (q31_t)0x262d4392, (q31_t)0x2627443d, + (q31_t)0x262144d0, (q31_t)0x261b454c, + (q31_t)0x261545b0, (q31_t)0x260f45fd, (q31_t)0x26094633, (q31_t)0x26034651, (q31_t)0x25fd4657, (q31_t)0x25f74646, + (q31_t)0x25f1461e, (q31_t)0x25eb45de, + (q31_t)0x25e54587, (q31_t)0x25df4519, (q31_t)0x25d94493, (q31_t)0x25d343f6, (q31_t)0x25cd4341, (q31_t)0x25c74276, + (q31_t)0x25c14192, (q31_t)0x25bb4098, + (q31_t)0x25b53f86, (q31_t)0x25af3e5d, (q31_t)0x25a93d1d, (q31_t)0x25a33bc6, (q31_t)0x259d3a57, (q31_t)0x259738d1, + (q31_t)0x25913734, (q31_t)0x258b3580, + (q31_t)0x258533b5, (q31_t)0x257f31d2, (q31_t)0x25792fd8, (q31_t)0x25732dc8, (q31_t)0x256d2ba0, (q31_t)0x25672961, + (q31_t)0x2561270b, (q31_t)0x255b249e, + (q31_t)0x2555221a, (q31_t)0x254f1f7e, (q31_t)0x25491ccc, (q31_t)0x25431a03, (q31_t)0x253d1723, (q31_t)0x2537142c, + (q31_t)0x2531111e, (q31_t)0x252b0df9, + (q31_t)0x25250abd, (q31_t)0x251f076a, (q31_t)0x25190400, (q31_t)0x25130080, (q31_t)0x250cfce8, (q31_t)0x2506f93a, + (q31_t)0x2500f574, (q31_t)0x24faf198, + (q31_t)0x24f4eda6, (q31_t)0x24eee99c, (q31_t)0x24e8e57c, (q31_t)0x24e2e144, (q31_t)0x24dcdcf6, (q31_t)0x24d6d892, + (q31_t)0x24d0d416, (q31_t)0x24cacf84, + (q31_t)0x24c4cadb, (q31_t)0x24bec61c, (q31_t)0x24b8c146, (q31_t)0x24b2bc59, (q31_t)0x24acb756, (q31_t)0x24a6b23b, + (q31_t)0x24a0ad0b, (q31_t)0x249aa7c4, + (q31_t)0x2494a266, (q31_t)0x248e9cf1, (q31_t)0x24889766, (q31_t)0x248291c5, (q31_t)0x247c8c0d, (q31_t)0x2476863e, + (q31_t)0x24708059, (q31_t)0x246a7a5e, + (q31_t)0x2464744c, (q31_t)0x245e6e23, (q31_t)0x245867e4, (q31_t)0x2452618f, (q31_t)0x244c5b24, (q31_t)0x244654a1, + (q31_t)0x24404e09, (q31_t)0x243a475a, + (q31_t)0x24344095, (q31_t)0x242e39ba, (q31_t)0x242832c8, (q31_t)0x24222bc0, (q31_t)0x241c24a1, (q31_t)0x24161d6d, + (q31_t)0x24101622, (q31_t)0x240a0ec1, + (q31_t)0x24040749, (q31_t)0x23fdffbc, (q31_t)0x23f7f818, (q31_t)0x23f1f05e, (q31_t)0x23ebe88e, (q31_t)0x23e5e0a7, + (q31_t)0x23dfd8ab, (q31_t)0x23d9d098, + (q31_t)0x23d3c86f, (q31_t)0x23cdc031, (q31_t)0x23c7b7dc, (q31_t)0x23c1af71, (q31_t)0x23bba6f0, (q31_t)0x23b59e59, + (q31_t)0x23af95ac, (q31_t)0x23a98ce8, + (q31_t)0x23a3840f, (q31_t)0x239d7b20, (q31_t)0x2397721b, (q31_t)0x23916900, (q31_t)0x238b5fcf, (q31_t)0x23855688, + (q31_t)0x237f4d2b, (q31_t)0x237943b9, + (q31_t)0x23733a30, (q31_t)0x236d3092, (q31_t)0x236726dd, (q31_t)0x23611d13, (q31_t)0x235b1333, (q31_t)0x2355093e, + (q31_t)0x234eff32, (q31_t)0x2348f511, + (q31_t)0x2342eada, (q31_t)0x233ce08d, (q31_t)0x2336d62a, (q31_t)0x2330cbb2, (q31_t)0x232ac124, (q31_t)0x2324b680, + (q31_t)0x231eabc7, (q31_t)0x2318a0f8, + (q31_t)0x23129613, (q31_t)0x230c8b19, (q31_t)0x23068009, (q31_t)0x230074e3, (q31_t)0x22fa69a8, (q31_t)0x22f45e57, + (q31_t)0x22ee52f1, (q31_t)0x22e84775, + (q31_t)0x22e23be4, (q31_t)0x22dc303d, (q31_t)0x22d62480, (q31_t)0x22d018ae, (q31_t)0x22ca0cc7, (q31_t)0x22c400ca, + (q31_t)0x22bdf4b8, (q31_t)0x22b7e890, + (q31_t)0x22b1dc53, (q31_t)0x22abd001, (q31_t)0x22a5c399, (q31_t)0x229fb71b, (q31_t)0x2299aa89, (q31_t)0x22939de1, + (q31_t)0x228d9123, (q31_t)0x22878451, + (q31_t)0x22817769, (q31_t)0x227b6a6c, (q31_t)0x22755d59, (q31_t)0x226f5032, (q31_t)0x226942f5, (q31_t)0x226335a2, + (q31_t)0x225d283b, (q31_t)0x22571abe, + (q31_t)0x22510d2d, (q31_t)0x224aff86, (q31_t)0x2244f1c9, (q31_t)0x223ee3f8, (q31_t)0x2238d612, (q31_t)0x2232c816, + (q31_t)0x222cba06, (q31_t)0x2226abe0, + (q31_t)0x22209da5, (q31_t)0x221a8f56, (q31_t)0x221480f1, (q31_t)0x220e7277, (q31_t)0x220863e8, (q31_t)0x22025544, + (q31_t)0x21fc468b, (q31_t)0x21f637be, + (q31_t)0x21f028db, (q31_t)0x21ea19e3, (q31_t)0x21e40ad7, (q31_t)0x21ddfbb5, (q31_t)0x21d7ec7f, (q31_t)0x21d1dd34, + (q31_t)0x21cbcdd3, (q31_t)0x21c5be5e, + (q31_t)0x21bfaed5, (q31_t)0x21b99f36, (q31_t)0x21b38f83, (q31_t)0x21ad7fba, (q31_t)0x21a76fdd, (q31_t)0x21a15fec, + (q31_t)0x219b4fe5, (q31_t)0x21953fca, + (q31_t)0x218f2f9a, (q31_t)0x21891f55, (q31_t)0x21830efc, (q31_t)0x217cfe8e, (q31_t)0x2176ee0b, (q31_t)0x2170dd74, + (q31_t)0x216accc8, (q31_t)0x2164bc08, + (q31_t)0x215eab33, (q31_t)0x21589a49, (q31_t)0x2152894b, (q31_t)0x214c7838, (q31_t)0x21466710, (q31_t)0x214055d4, + (q31_t)0x213a4484, (q31_t)0x2134331f, + (q31_t)0x212e21a6, (q31_t)0x21281018, (q31_t)0x2121fe76, (q31_t)0x211becbf, (q31_t)0x2115daf4, (q31_t)0x210fc914, + (q31_t)0x2109b720, (q31_t)0x2103a518, + (q31_t)0x20fd92fb, (q31_t)0x20f780ca, (q31_t)0x20f16e84, (q31_t)0x20eb5c2b, (q31_t)0x20e549bd, (q31_t)0x20df373a, + (q31_t)0x20d924a4, (q31_t)0x20d311f9, + (q31_t)0x20ccff3a, (q31_t)0x20c6ec66, (q31_t)0x20c0d97f, (q31_t)0x20bac683, (q31_t)0x20b4b373, (q31_t)0x20aea04f, + (q31_t)0x20a88d17, (q31_t)0x20a279ca, + (q31_t)0x209c666a, (q31_t)0x209652f5, (q31_t)0x20903f6c, (q31_t)0x208a2bcf, (q31_t)0x2084181e, (q31_t)0x207e0459, + (q31_t)0x2077f080, (q31_t)0x2071dc93, + (q31_t)0x206bc892, (q31_t)0x2065b47d, (q31_t)0x205fa054, (q31_t)0x20598c17, (q31_t)0x205377c6, (q31_t)0x204d6361, + (q31_t)0x20474ee8, (q31_t)0x20413a5b, + (q31_t)0x203b25bb, (q31_t)0x20351106, (q31_t)0x202efc3e, (q31_t)0x2028e761, (q31_t)0x2022d271, (q31_t)0x201cbd6d, + (q31_t)0x2016a856, (q31_t)0x2010932a, + (q31_t)0x200a7deb, (q31_t)0x20046898, (q31_t)0x1ffe5331, (q31_t)0x1ff83db6, (q31_t)0x1ff22828, (q31_t)0x1fec1286, + (q31_t)0x1fe5fcd0, (q31_t)0x1fdfe707, + (q31_t)0x1fd9d12a, (q31_t)0x1fd3bb39, (q31_t)0x1fcda535, (q31_t)0x1fc78f1d, (q31_t)0x1fc178f1, (q31_t)0x1fbb62b2, + (q31_t)0x1fb54c60, (q31_t)0x1faf35f9, + (q31_t)0x1fa91f80, (q31_t)0x1fa308f2, (q31_t)0x1f9cf252, (q31_t)0x1f96db9d, (q31_t)0x1f90c4d5, (q31_t)0x1f8aadfa, + (q31_t)0x1f84970b, (q31_t)0x1f7e8009, + (q31_t)0x1f7868f4, (q31_t)0x1f7251ca, (q31_t)0x1f6c3a8e, (q31_t)0x1f66233e, (q31_t)0x1f600bdb, (q31_t)0x1f59f465, + (q31_t)0x1f53dcdb, (q31_t)0x1f4dc53d, + (q31_t)0x1f47ad8d, (q31_t)0x1f4195c9, (q31_t)0x1f3b7df2, (q31_t)0x1f356608, (q31_t)0x1f2f4e0a, (q31_t)0x1f2935f9, + (q31_t)0x1f231dd5, (q31_t)0x1f1d059e, + (q31_t)0x1f16ed54, (q31_t)0x1f10d4f6, (q31_t)0x1f0abc85, (q31_t)0x1f04a401, (q31_t)0x1efe8b6a, (q31_t)0x1ef872c0, + (q31_t)0x1ef25a03, (q31_t)0x1eec4132, + (q31_t)0x1ee6284f, (q31_t)0x1ee00f58, (q31_t)0x1ed9f64f, (q31_t)0x1ed3dd32, (q31_t)0x1ecdc402, (q31_t)0x1ec7aac0, + (q31_t)0x1ec1916a, (q31_t)0x1ebb7802, + (q31_t)0x1eb55e86, (q31_t)0x1eaf44f8, (q31_t)0x1ea92b56, (q31_t)0x1ea311a2, (q31_t)0x1e9cf7db, (q31_t)0x1e96de01, + (q31_t)0x1e90c414, (q31_t)0x1e8aaa14, + (q31_t)0x1e849001, (q31_t)0x1e7e75dc, (q31_t)0x1e785ba3, (q31_t)0x1e724158, (q31_t)0x1e6c26fa, (q31_t)0x1e660c8a, + (q31_t)0x1e5ff206, (q31_t)0x1e59d770, + (q31_t)0x1e53bcc7, (q31_t)0x1e4da20c, (q31_t)0x1e47873d, (q31_t)0x1e416c5d, (q31_t)0x1e3b5169, (q31_t)0x1e353663, + (q31_t)0x1e2f1b4a, (q31_t)0x1e29001e, + (q31_t)0x1e22e4e0, (q31_t)0x1e1cc990, (q31_t)0x1e16ae2c, (q31_t)0x1e1092b6, (q31_t)0x1e0a772e, (q31_t)0x1e045b93, + (q31_t)0x1dfe3fe6, (q31_t)0x1df82426, + (q31_t)0x1df20853, (q31_t)0x1debec6f, (q31_t)0x1de5d077, (q31_t)0x1ddfb46e, (q31_t)0x1dd99851, (q31_t)0x1dd37c23, + (q31_t)0x1dcd5fe2, (q31_t)0x1dc7438e, + (q31_t)0x1dc12729, (q31_t)0x1dbb0ab0, (q31_t)0x1db4ee26, (q31_t)0x1daed189, (q31_t)0x1da8b4da, (q31_t)0x1da29819, + (q31_t)0x1d9c7b45, (q31_t)0x1d965e5f, + (q31_t)0x1d904167, (q31_t)0x1d8a245c, (q31_t)0x1d840740, (q31_t)0x1d7dea11, (q31_t)0x1d77ccd0, (q31_t)0x1d71af7d, + (q31_t)0x1d6b9217, (q31_t)0x1d6574a0, + (q31_t)0x1d5f5716, (q31_t)0x1d59397a, (q31_t)0x1d531bcc, (q31_t)0x1d4cfe0d, (q31_t)0x1d46e03a, (q31_t)0x1d40c256, + (q31_t)0x1d3aa460, (q31_t)0x1d348658, + (q31_t)0x1d2e683e, (q31_t)0x1d284a12, (q31_t)0x1d222bd3, (q31_t)0x1d1c0d83, (q31_t)0x1d15ef21, (q31_t)0x1d0fd0ad, + (q31_t)0x1d09b227, (q31_t)0x1d03938f, + (q31_t)0x1cfd74e5, (q31_t)0x1cf7562a, (q31_t)0x1cf1375c, (q31_t)0x1ceb187d, (q31_t)0x1ce4f98c, (q31_t)0x1cdeda89, + (q31_t)0x1cd8bb74, (q31_t)0x1cd29c4d, + (q31_t)0x1ccc7d15, (q31_t)0x1cc65dca, (q31_t)0x1cc03e6e, (q31_t)0x1cba1f01, (q31_t)0x1cb3ff81, (q31_t)0x1caddff0, + (q31_t)0x1ca7c04d, (q31_t)0x1ca1a099, + (q31_t)0x1c9b80d3, (q31_t)0x1c9560fb, (q31_t)0x1c8f4112, (q31_t)0x1c892117, (q31_t)0x1c83010a, (q31_t)0x1c7ce0ec, + (q31_t)0x1c76c0bc, (q31_t)0x1c70a07b, + (q31_t)0x1c6a8028, (q31_t)0x1c645fc3, (q31_t)0x1c5e3f4d, (q31_t)0x1c581ec6, (q31_t)0x1c51fe2d, (q31_t)0x1c4bdd83, + (q31_t)0x1c45bcc7, (q31_t)0x1c3f9bf9, + (q31_t)0x1c397b1b, (q31_t)0x1c335a2b, (q31_t)0x1c2d3929, (q31_t)0x1c271816, (q31_t)0x1c20f6f2, (q31_t)0x1c1ad5bc, + (q31_t)0x1c14b475, (q31_t)0x1c0e931d, + (q31_t)0x1c0871b4, (q31_t)0x1c025039, (q31_t)0x1bfc2ead, (q31_t)0x1bf60d0f, (q31_t)0x1befeb60, (q31_t)0x1be9c9a1, + (q31_t)0x1be3a7cf, (q31_t)0x1bdd85ed, + (q31_t)0x1bd763fa, (q31_t)0x1bd141f5, (q31_t)0x1bcb1fdf, (q31_t)0x1bc4fdb8, (q31_t)0x1bbedb80, (q31_t)0x1bb8b937, + (q31_t)0x1bb296dc, (q31_t)0x1bac7471, + (q31_t)0x1ba651f5, (q31_t)0x1ba02f67, (q31_t)0x1b9a0cc8, (q31_t)0x1b93ea19, (q31_t)0x1b8dc758, (q31_t)0x1b87a487, + (q31_t)0x1b8181a4, (q31_t)0x1b7b5eb0, + (q31_t)0x1b753bac, (q31_t)0x1b6f1897, (q31_t)0x1b68f570, (q31_t)0x1b62d239, (q31_t)0x1b5caef1, (q31_t)0x1b568b98, + (q31_t)0x1b50682e, (q31_t)0x1b4a44b3, + (q31_t)0x1b442127, (q31_t)0x1b3dfd8b, (q31_t)0x1b37d9de, (q31_t)0x1b31b620, (q31_t)0x1b2b9251, (q31_t)0x1b256e71, + (q31_t)0x1b1f4a81, (q31_t)0x1b192680, + (q31_t)0x1b13026e, (q31_t)0x1b0cde4c, (q31_t)0x1b06ba19, (q31_t)0x1b0095d5, (q31_t)0x1afa7180, (q31_t)0x1af44d1b, + (q31_t)0x1aee28a6, (q31_t)0x1ae8041f, + (q31_t)0x1ae1df88, (q31_t)0x1adbbae1, (q31_t)0x1ad59629, (q31_t)0x1acf7160, (q31_t)0x1ac94c87, (q31_t)0x1ac3279d, + (q31_t)0x1abd02a3, (q31_t)0x1ab6dd98, + (q31_t)0x1ab0b87d, (q31_t)0x1aaa9352, (q31_t)0x1aa46e16, (q31_t)0x1a9e48c9, (q31_t)0x1a98236c, (q31_t)0x1a91fdff, + (q31_t)0x1a8bd881, (q31_t)0x1a85b2f3, + (q31_t)0x1a7f8d54, (q31_t)0x1a7967a6, (q31_t)0x1a7341e6, (q31_t)0x1a6d1c17, (q31_t)0x1a66f637, (q31_t)0x1a60d047, + (q31_t)0x1a5aaa47, (q31_t)0x1a548436, + (q31_t)0x1a4e5e15, (q31_t)0x1a4837e4, (q31_t)0x1a4211a3, (q31_t)0x1a3beb52, (q31_t)0x1a35c4f0, (q31_t)0x1a2f9e7e, + (q31_t)0x1a2977fc, (q31_t)0x1a23516a, + (q31_t)0x1a1d2ac8, (q31_t)0x1a170416, (q31_t)0x1a10dd53, (q31_t)0x1a0ab681, (q31_t)0x1a048f9e, (q31_t)0x19fe68ac, + (q31_t)0x19f841a9, (q31_t)0x19f21a96, + (q31_t)0x19ebf374, (q31_t)0x19e5cc41, (q31_t)0x19dfa4fe, (q31_t)0x19d97dac, (q31_t)0x19d35649, (q31_t)0x19cd2ed7, + (q31_t)0x19c70754, (q31_t)0x19c0dfc2, + (q31_t)0x19bab820, (q31_t)0x19b4906e, (q31_t)0x19ae68ac, (q31_t)0x19a840da, (q31_t)0x19a218f9, (q31_t)0x199bf107, + (q31_t)0x1995c906, (q31_t)0x198fa0f5, + (q31_t)0x198978d4, (q31_t)0x198350a4, (q31_t)0x197d2864, (q31_t)0x19770014, (q31_t)0x1970d7b4, (q31_t)0x196aaf45, + (q31_t)0x196486c6, (q31_t)0x195e5e37, + (q31_t)0x19583599, (q31_t)0x19520ceb, (q31_t)0x194be42d, (q31_t)0x1945bb60, (q31_t)0x193f9283, (q31_t)0x19396997, + (q31_t)0x1933409b, (q31_t)0x192d178f, + (q31_t)0x1926ee74, (q31_t)0x1920c54a, (q31_t)0x191a9c10, (q31_t)0x191472c6, (q31_t)0x190e496d, (q31_t)0x19082005, + (q31_t)0x1901f68d, (q31_t)0x18fbcd06, + (q31_t)0x18f5a36f, (q31_t)0x18ef79c9, (q31_t)0x18e95014, (q31_t)0x18e3264f, (q31_t)0x18dcfc7b, (q31_t)0x18d6d297, + (q31_t)0x18d0a8a4, (q31_t)0x18ca7ea2, + (q31_t)0x18c45491, (q31_t)0x18be2a70, (q31_t)0x18b80040, (q31_t)0x18b1d601, (q31_t)0x18ababb2, (q31_t)0x18a58154, + (q31_t)0x189f56e8, (q31_t)0x18992c6b, + (q31_t)0x189301e0, (q31_t)0x188cd746, (q31_t)0x1886ac9c, (q31_t)0x188081e4, (q31_t)0x187a571c, (q31_t)0x18742c45, + (q31_t)0x186e015f, (q31_t)0x1867d66a, + (q31_t)0x1861ab66, (q31_t)0x185b8053, (q31_t)0x18555530, (q31_t)0x184f29ff, (q31_t)0x1848febf, (q31_t)0x1842d370, + (q31_t)0x183ca812, (q31_t)0x18367ca5, + (q31_t)0x18305129, (q31_t)0x182a259e, (q31_t)0x1823fa04, (q31_t)0x181dce5b, (q31_t)0x1817a2a4, (q31_t)0x181176dd, + (q31_t)0x180b4b08, (q31_t)0x18051f24, + (q31_t)0x17fef331, (q31_t)0x17f8c72f, (q31_t)0x17f29b1e, (q31_t)0x17ec6eff, (q31_t)0x17e642d1, (q31_t)0x17e01694, + (q31_t)0x17d9ea49, (q31_t)0x17d3bdee, + (q31_t)0x17cd9186, (q31_t)0x17c7650e, (q31_t)0x17c13888, (q31_t)0x17bb0bf3, (q31_t)0x17b4df4f, (q31_t)0x17aeb29d, + (q31_t)0x17a885dc, (q31_t)0x17a2590d, + (q31_t)0x179c2c2f, (q31_t)0x1795ff42, (q31_t)0x178fd247, (q31_t)0x1789a53d, (q31_t)0x17837825, (q31_t)0x177d4afe, + (q31_t)0x17771dc9, (q31_t)0x1770f086, + (q31_t)0x176ac333, (q31_t)0x176495d3, (q31_t)0x175e6864, (q31_t)0x17583ae7, (q31_t)0x17520d5b, (q31_t)0x174bdfc1, + (q31_t)0x1745b218, (q31_t)0x173f8461, + (q31_t)0x1739569c, (q31_t)0x173328c8, (q31_t)0x172cfae6, (q31_t)0x1726ccf6, (q31_t)0x17209ef8, (q31_t)0x171a70eb, + (q31_t)0x171442d0, (q31_t)0x170e14a7, + (q31_t)0x1707e670, (q31_t)0x1701b82a, (q31_t)0x16fb89d6, (q31_t)0x16f55b74, (q31_t)0x16ef2d04, (q31_t)0x16e8fe86, + (q31_t)0x16e2cff9, (q31_t)0x16dca15f, + (q31_t)0x16d672b6, (q31_t)0x16d043ff, (q31_t)0x16ca153a, (q31_t)0x16c3e667, (q31_t)0x16bdb787, (q31_t)0x16b78898, + (q31_t)0x16b1599b, (q31_t)0x16ab2a90, + (q31_t)0x16a4fb77, (q31_t)0x169ecc50, (q31_t)0x16989d1b, (q31_t)0x16926dd8, (q31_t)0x168c3e87, (q31_t)0x16860f29, + (q31_t)0x167fdfbc, (q31_t)0x1679b042, + (q31_t)0x167380ba, (q31_t)0x166d5123, (q31_t)0x1667217f, (q31_t)0x1660f1ce, (q31_t)0x165ac20e, (q31_t)0x16549241, + (q31_t)0x164e6266, (q31_t)0x1648327d, + (q31_t)0x16420286, (q31_t)0x163bd282, (q31_t)0x1635a270, (q31_t)0x162f7250, (q31_t)0x16294222, (q31_t)0x162311e7, + (q31_t)0x161ce19e, (q31_t)0x1616b148, + (q31_t)0x161080e4, (q31_t)0x160a5072, (q31_t)0x16041ff3, (q31_t)0x15fdef66, (q31_t)0x15f7becc, (q31_t)0x15f18e24, + (q31_t)0x15eb5d6e, (q31_t)0x15e52cab, + (q31_t)0x15defbdb, (q31_t)0x15d8cafd, (q31_t)0x15d29a11, (q31_t)0x15cc6918, (q31_t)0x15c63812, (q31_t)0x15c006fe, + (q31_t)0x15b9d5dd, (q31_t)0x15b3a4ae, + (q31_t)0x15ad7372, (q31_t)0x15a74228, (q31_t)0x15a110d2, (q31_t)0x159adf6e, (q31_t)0x1594adfc, (q31_t)0x158e7c7d, + (q31_t)0x15884af1, (q31_t)0x15821958, + (q31_t)0x157be7b1, (q31_t)0x1575b5fe, (q31_t)0x156f843c, (q31_t)0x1569526e, (q31_t)0x15632093, (q31_t)0x155ceeaa, + (q31_t)0x1556bcb4, (q31_t)0x15508ab1, + (q31_t)0x154a58a1, (q31_t)0x15442683, (q31_t)0x153df459, (q31_t)0x1537c221, (q31_t)0x15318fdd, (q31_t)0x152b5d8b, + (q31_t)0x15252b2c, (q31_t)0x151ef8c0, + (q31_t)0x1518c648, (q31_t)0x151293c2, (q31_t)0x150c612f, (q31_t)0x15062e8f, (q31_t)0x14fffbe2, (q31_t)0x14f9c928, + (q31_t)0x14f39662, (q31_t)0x14ed638e, + (q31_t)0x14e730ae, (q31_t)0x14e0fdc0, (q31_t)0x14dacac6, (q31_t)0x14d497bf, (q31_t)0x14ce64ab, (q31_t)0x14c8318a, + (q31_t)0x14c1fe5c, (q31_t)0x14bbcb22, + (q31_t)0x14b597da, (q31_t)0x14af6486, (q31_t)0x14a93125, (q31_t)0x14a2fdb8, (q31_t)0x149cca3e, (q31_t)0x149696b7, + (q31_t)0x14906323, (q31_t)0x148a2f82, + (q31_t)0x1483fbd5, (q31_t)0x147dc81c, (q31_t)0x14779455, (q31_t)0x14716082, (q31_t)0x146b2ca3, (q31_t)0x1464f8b7, + (q31_t)0x145ec4be, (q31_t)0x145890b9, + (q31_t)0x14525ca7, (q31_t)0x144c2888, (q31_t)0x1445f45d, (q31_t)0x143fc026, (q31_t)0x14398be2, (q31_t)0x14335792, + (q31_t)0x142d2335, (q31_t)0x1426eecb, + (q31_t)0x1420ba56, (q31_t)0x141a85d3, (q31_t)0x14145145, (q31_t)0x140e1caa, (q31_t)0x1407e803, (q31_t)0x1401b34f, + (q31_t)0x13fb7e8f, (q31_t)0x13f549c3, + (q31_t)0x13ef14ea, (q31_t)0x13e8e005, (q31_t)0x13e2ab14, (q31_t)0x13dc7616, (q31_t)0x13d6410d, (q31_t)0x13d00bf7, + (q31_t)0x13c9d6d4, (q31_t)0x13c3a1a6, + (q31_t)0x13bd6c6b, (q31_t)0x13b73725, (q31_t)0x13b101d2, (q31_t)0x13aacc73, (q31_t)0x13a49707, (q31_t)0x139e6190, + (q31_t)0x13982c0d, (q31_t)0x1391f67d, + (q31_t)0x138bc0e1, (q31_t)0x13858b3a, (q31_t)0x137f5586, (q31_t)0x13791fc6, (q31_t)0x1372e9fb, (q31_t)0x136cb423, + (q31_t)0x13667e3f, (q31_t)0x13604850, + (q31_t)0x135a1254, (q31_t)0x1353dc4c, (q31_t)0x134da639, (q31_t)0x1347701a, (q31_t)0x134139ee, (q31_t)0x133b03b7, + (q31_t)0x1334cd74, (q31_t)0x132e9725, + (q31_t)0x132860ca, (q31_t)0x13222a64, (q31_t)0x131bf3f2, (q31_t)0x1315bd73, (q31_t)0x130f86ea, (q31_t)0x13095054, + (q31_t)0x130319b3, (q31_t)0x12fce305, + (q31_t)0x12f6ac4d, (q31_t)0x12f07588, (q31_t)0x12ea3eb8, (q31_t)0x12e407dc, (q31_t)0x12ddd0f4, (q31_t)0x12d79a01, + (q31_t)0x12d16303, (q31_t)0x12cb2bf8, + (q31_t)0x12c4f4e2, (q31_t)0x12bebdc1, (q31_t)0x12b88693, (q31_t)0x12b24f5b, (q31_t)0x12ac1817, (q31_t)0x12a5e0c7, + (q31_t)0x129fa96c, (q31_t)0x12997205, + (q31_t)0x12933a93, (q31_t)0x128d0315, (q31_t)0x1286cb8c, (q31_t)0x128093f7, (q31_t)0x127a5c57, (q31_t)0x127424ac, + (q31_t)0x126decf5, (q31_t)0x1267b533, + (q31_t)0x12617d66, (q31_t)0x125b458d, (q31_t)0x12550da9, (q31_t)0x124ed5ba, (q31_t)0x12489dbf, (q31_t)0x124265b9, + (q31_t)0x123c2da8, (q31_t)0x1235f58b, + (q31_t)0x122fbd63, (q31_t)0x12298530, (q31_t)0x12234cf2, (q31_t)0x121d14a9, (q31_t)0x1216dc54, (q31_t)0x1210a3f5, + (q31_t)0x120a6b8a, (q31_t)0x12043314, + (q31_t)0x11fdfa93, (q31_t)0x11f7c207, (q31_t)0x11f18970, (q31_t)0x11eb50cd, (q31_t)0x11e51820, (q31_t)0x11dedf68, + (q31_t)0x11d8a6a4, (q31_t)0x11d26dd6, + (q31_t)0x11cc34fc, (q31_t)0x11c5fc18, (q31_t)0x11bfc329, (q31_t)0x11b98a2e, (q31_t)0x11b35129, (q31_t)0x11ad1819, + (q31_t)0x11a6defe, (q31_t)0x11a0a5d8, + (q31_t)0x119a6ca7, (q31_t)0x1194336b, (q31_t)0x118dfa25, (q31_t)0x1187c0d3, (q31_t)0x11818777, (q31_t)0x117b4e10, + (q31_t)0x1175149e, (q31_t)0x116edb22, + (q31_t)0x1168a19b, (q31_t)0x11626809, (q31_t)0x115c2e6c, (q31_t)0x1155f4c4, (q31_t)0x114fbb12, (q31_t)0x11498156, + (q31_t)0x1143478e, (q31_t)0x113d0dbc, + (q31_t)0x1136d3df, (q31_t)0x113099f8, (q31_t)0x112a6006, (q31_t)0x11242609, (q31_t)0x111dec02, (q31_t)0x1117b1f0, + (q31_t)0x111177d4, (q31_t)0x110b3dad, + (q31_t)0x1105037c, (q31_t)0x10fec940, (q31_t)0x10f88efa, (q31_t)0x10f254a9, (q31_t)0x10ec1a4e, (q31_t)0x10e5dfe8, + (q31_t)0x10dfa578, (q31_t)0x10d96afe, + (q31_t)0x10d33079, (q31_t)0x10ccf5ea, (q31_t)0x10c6bb50, (q31_t)0x10c080ac, (q31_t)0x10ba45fe, (q31_t)0x10b40b45, + (q31_t)0x10add082, (q31_t)0x10a795b5, + (q31_t)0x10a15ade, (q31_t)0x109b1ffc, (q31_t)0x1094e510, (q31_t)0x108eaa1a, (q31_t)0x10886f19, (q31_t)0x1082340f, + (q31_t)0x107bf8fa, (q31_t)0x1075bddb, + (q31_t)0x106f82b2, (q31_t)0x1069477f, (q31_t)0x10630c41, (q31_t)0x105cd0fa, (q31_t)0x105695a8, (q31_t)0x10505a4d, + (q31_t)0x104a1ee7, (q31_t)0x1043e377, + (q31_t)0x103da7fd, (q31_t)0x10376c79, (q31_t)0x103130ec, (q31_t)0x102af554, (q31_t)0x1024b9b2, (q31_t)0x101e7e06, + (q31_t)0x10184251, (q31_t)0x10120691, + (q31_t)0x100bcac7, (q31_t)0x10058ef4, (q31_t)0xfff5317, (q31_t)0xff91730, (q31_t)0xff2db3e, (q31_t)0xfec9f44, + (q31_t)0xfe6633f, (q31_t)0xfe02730, + (q31_t)0xfd9eb18, (q31_t)0xfd3aef6, (q31_t)0xfcd72ca, (q31_t)0xfc73695, (q31_t)0xfc0fa55, (q31_t)0xfbabe0c, (q31_t)0xfb481ba, + (q31_t)0xfae455d, + (q31_t)0xfa808f7, (q31_t)0xfa1cc87, (q31_t)0xf9b900e, (q31_t)0xf95538b, (q31_t)0xf8f16fe, (q31_t)0xf88da68, (q31_t)0xf829dc8, + (q31_t)0xf7c611f, + (q31_t)0xf76246c, (q31_t)0xf6fe7af, (q31_t)0xf69aae9, (q31_t)0xf636e1a, (q31_t)0xf5d3141, (q31_t)0xf56f45e, (q31_t)0xf50b773, + (q31_t)0xf4a7a7d, + (q31_t)0xf443d7e, (q31_t)0xf3e0076, (q31_t)0xf37c365, (q31_t)0xf318649, (q31_t)0xf2b4925, (q31_t)0xf250bf7, (q31_t)0xf1ecec0, + (q31_t)0xf189180, + (q31_t)0xf125436, (q31_t)0xf0c16e3, (q31_t)0xf05d987, (q31_t)0xeff9c21, (q31_t)0xef95eb2, (q31_t)0xef3213a, (q31_t)0xeece3b9, + (q31_t)0xee6a62f, + (q31_t)0xee0689b, (q31_t)0xeda2afe, (q31_t)0xed3ed58, (q31_t)0xecdafa9, (q31_t)0xec771f1, (q31_t)0xec1342f, (q31_t)0xebaf665, + (q31_t)0xeb4b891, + (q31_t)0xeae7ab4, (q31_t)0xea83ccf, (q31_t)0xea1fee0, (q31_t)0xe9bc0e8, (q31_t)0xe9582e7, (q31_t)0xe8f44dd, (q31_t)0xe8906cb, + (q31_t)0xe82c8af, + (q31_t)0xe7c8a8a, (q31_t)0xe764c5c, (q31_t)0xe700e26, (q31_t)0xe69cfe6, (q31_t)0xe63919e, (q31_t)0xe5d534d, (q31_t)0xe5714f3, + (q31_t)0xe50d690, + (q31_t)0xe4a9824, (q31_t)0xe4459af, (q31_t)0xe3e1b32, (q31_t)0xe37dcac, (q31_t)0xe319e1d, (q31_t)0xe2b5f85, (q31_t)0xe2520e5, + (q31_t)0xe1ee23c, + (q31_t)0xe18a38a, (q31_t)0xe1264cf, (q31_t)0xe0c260c, (q31_t)0xe05e740, (q31_t)0xdffa86b, (q31_t)0xdf9698e, (q31_t)0xdf32aa8, + (q31_t)0xdecebba, + (q31_t)0xde6acc3, (q31_t)0xde06dc3, (q31_t)0xdda2ebb, (q31_t)0xdd3efab, (q31_t)0xdcdb091, (q31_t)0xdc77170, (q31_t)0xdc13245, + (q31_t)0xdbaf313, + (q31_t)0xdb4b3d7, (q31_t)0xdae7494, (q31_t)0xda83548, (q31_t)0xda1f5f3, (q31_t)0xd9bb696, (q31_t)0xd957731, (q31_t)0xd8f37c3, + (q31_t)0xd88f84d, + (q31_t)0xd82b8cf, (q31_t)0xd7c7948, (q31_t)0xd7639b9, (q31_t)0xd6ffa22, (q31_t)0xd69ba82, (q31_t)0xd637ada, (q31_t)0xd5d3b2a, + (q31_t)0xd56fb71, + (q31_t)0xd50bbb1, (q31_t)0xd4a7be8, (q31_t)0xd443c17, (q31_t)0xd3dfc3e, (q31_t)0xd37bc5c, (q31_t)0xd317c73, (q31_t)0xd2b3c81, + (q31_t)0xd24fc87, + (q31_t)0xd1ebc85, (q31_t)0xd187c7b, (q31_t)0xd123c69, (q31_t)0xd0bfc4f, (q31_t)0xd05bc2d, (q31_t)0xcff7c02, (q31_t)0xcf93bd0, + (q31_t)0xcf2fb96, + (q31_t)0xcecbb53, (q31_t)0xce67b09, (q31_t)0xce03ab7, (q31_t)0xcd9fa5d, (q31_t)0xcd3b9fb, (q31_t)0xccd7991, (q31_t)0xcc7391f, + (q31_t)0xcc0f8a5, + (q31_t)0xcbab824, (q31_t)0xcb4779a, (q31_t)0xcae3709, (q31_t)0xca7f670, (q31_t)0xca1b5cf, (q31_t)0xc9b7526, (q31_t)0xc953475, + (q31_t)0xc8ef3bd, + (q31_t)0xc88b2fd, (q31_t)0xc827235, (q31_t)0xc7c3166, (q31_t)0xc75f08f, (q31_t)0xc6fafb0, (q31_t)0xc696ec9, (q31_t)0xc632ddb, + (q31_t)0xc5cece5, + (q31_t)0xc56abe8, (q31_t)0xc506ae3, (q31_t)0xc4a29d6, (q31_t)0xc43e8c2, (q31_t)0xc3da7a6, (q31_t)0xc376683, (q31_t)0xc312558, + (q31_t)0xc2ae425, + (q31_t)0xc24a2eb, (q31_t)0xc1e61aa, (q31_t)0xc182061, (q31_t)0xc11df11, (q31_t)0xc0b9db9, (q31_t)0xc055c5a, (q31_t)0xbff1af3, + (q31_t)0xbf8d985, + (q31_t)0xbf29810, (q31_t)0xbec5693, (q31_t)0xbe6150f, (q31_t)0xbdfd383, (q31_t)0xbd991f0, (q31_t)0xbd35056, (q31_t)0xbcd0eb5, + (q31_t)0xbc6cd0c, + (q31_t)0xbc08b5c, (q31_t)0xbba49a5, (q31_t)0xbb407e7, (q31_t)0xbadc621, (q31_t)0xba78454, (q31_t)0xba14280, (q31_t)0xb9b00a5, + (q31_t)0xb94bec2, + (q31_t)0xb8e7cd9, (q31_t)0xb883ae8, (q31_t)0xb81f8f0, (q31_t)0xb7bb6f2, (q31_t)0xb7574ec, (q31_t)0xb6f32df, (q31_t)0xb68f0cb, + (q31_t)0xb62aeaf, + (q31_t)0xb5c6c8d, (q31_t)0xb562a64, (q31_t)0xb4fe834, (q31_t)0xb49a5fd, (q31_t)0xb4363bf, (q31_t)0xb3d217a, (q31_t)0xb36df2e, + (q31_t)0xb309cdb, + (q31_t)0xb2a5a81, (q31_t)0xb241820, (q31_t)0xb1dd5b9, (q31_t)0xb17934b, (q31_t)0xb1150d5, (q31_t)0xb0b0e59, (q31_t)0xb04cbd6, + (q31_t)0xafe894d, + (q31_t)0xaf846bc, (q31_t)0xaf20425, (q31_t)0xaebc187, (q31_t)0xae57ee2, (q31_t)0xadf3c37, (q31_t)0xad8f985, (q31_t)0xad2b6cc, + (q31_t)0xacc740c, + (q31_t)0xac63146, (q31_t)0xabfee79, (q31_t)0xab9aba6, (q31_t)0xab368cc, (q31_t)0xaad25eb, (q31_t)0xaa6e304, (q31_t)0xaa0a016, + (q31_t)0xa9a5d22, + (q31_t)0xa941a27, (q31_t)0xa8dd725, (q31_t)0xa87941d, (q31_t)0xa81510f, (q31_t)0xa7b0dfa, (q31_t)0xa74cadf, (q31_t)0xa6e87bd, + (q31_t)0xa684495, + (q31_t)0xa620166, (q31_t)0xa5bbe31, (q31_t)0xa557af5, (q31_t)0xa4f37b3, (q31_t)0xa48f46b, (q31_t)0xa42b11d, (q31_t)0xa3c6dc8, + (q31_t)0xa362a6d, + (q31_t)0xa2fe70b, (q31_t)0xa29a3a3, (q31_t)0xa236035, (q31_t)0xa1d1cc1, (q31_t)0xa16d946, (q31_t)0xa1095c6, (q31_t)0xa0a523f, + (q31_t)0xa040eb1, + (q31_t)0x9fdcb1e, (q31_t)0x9f78784, (q31_t)0x9f143e5, (q31_t)0x9eb003f, (q31_t)0x9e4bc93, (q31_t)0x9de78e1, (q31_t)0x9d83529, + (q31_t)0x9d1f16b, + (q31_t)0x9cbada7, (q31_t)0x9c569dc, (q31_t)0x9bf260c, (q31_t)0x9b8e236, (q31_t)0x9b29e59, (q31_t)0x9ac5a77, (q31_t)0x9a6168f, + (q31_t)0x99fd2a0, + (q31_t)0x9998eac, (q31_t)0x9934ab2, (q31_t)0x98d06b2, (q31_t)0x986c2ac, (q31_t)0x9807ea1, (q31_t)0x97a3a8f, (q31_t)0x973f678, + (q31_t)0x96db25a, + (q31_t)0x9676e37, (q31_t)0x9612a0e, (q31_t)0x95ae5e0, (q31_t)0x954a1ab, (q31_t)0x94e5d71, (q31_t)0x9481931, (q31_t)0x941d4eb, + (q31_t)0x93b90a0, + (q31_t)0x9354c4f, (q31_t)0x92f07f8, (q31_t)0x928c39b, (q31_t)0x9227f39, (q31_t)0x91c3ad2, (q31_t)0x915f664, (q31_t)0x90fb1f1, + (q31_t)0x9096d79, + (q31_t)0x90328fb, (q31_t)0x8fce477, (q31_t)0x8f69fee, (q31_t)0x8f05b5f, (q31_t)0x8ea16cb, (q31_t)0x8e3d231, (q31_t)0x8dd8d92, + (q31_t)0x8d748ed, + (q31_t)0x8d10443, (q31_t)0x8cabf93, (q31_t)0x8c47ade, (q31_t)0x8be3624, (q31_t)0x8b7f164, (q31_t)0x8b1ac9f, (q31_t)0x8ab67d4, + (q31_t)0x8a52304, + (q31_t)0x89ede2f, (q31_t)0x8989955, (q31_t)0x8925475, (q31_t)0x88c0f90, (q31_t)0x885caa5, (q31_t)0x87f85b5, (q31_t)0x87940c1, + (q31_t)0x872fbc6, + (q31_t)0x86cb6c7, (q31_t)0x86671c2, (q31_t)0x8602cb9, (q31_t)0x859e7aa, (q31_t)0x853a296, (q31_t)0x84d5d7d, (q31_t)0x847185e, + (q31_t)0x840d33b, + (q31_t)0x83a8e12, (q31_t)0x83448e5, (q31_t)0x82e03b2, (q31_t)0x827be7a, (q31_t)0x821793e, (q31_t)0x81b33fc, (q31_t)0x814eeb5, + (q31_t)0x80ea969, + (q31_t)0x8086419, (q31_t)0x8021ec3, (q31_t)0x7fbd968, (q31_t)0x7f59409, (q31_t)0x7ef4ea4, (q31_t)0x7e9093b, (q31_t)0x7e2c3cd, + (q31_t)0x7dc7e5a, + (q31_t)0x7d638e2, (q31_t)0x7cff365, (q31_t)0x7c9ade4, (q31_t)0x7c3685d, (q31_t)0x7bd22d2, (q31_t)0x7b6dd42, (q31_t)0x7b097ad, + (q31_t)0x7aa5214, + (q31_t)0x7a40c76, (q31_t)0x79dc6d3, (q31_t)0x797812b, (q31_t)0x7913b7f, (q31_t)0x78af5ce, (q31_t)0x784b019, (q31_t)0x77e6a5e, + (q31_t)0x77824a0, + (q31_t)0x771dedc, (q31_t)0x76b9914, (q31_t)0x7655347, (q31_t)0x75f0d76, (q31_t)0x758c7a1, (q31_t)0x75281c6, (q31_t)0x74c3be7, + (q31_t)0x745f604, + (q31_t)0x73fb01c, (q31_t)0x7396a30, (q31_t)0x733243f, (q31_t)0x72cde4a, (q31_t)0x7269851, (q31_t)0x7205253, (q31_t)0x71a0c50, + (q31_t)0x713c64a, + (q31_t)0x70d803f, (q31_t)0x7073a2f, (q31_t)0x700f41b, (q31_t)0x6faae03, (q31_t)0x6f467e7, (q31_t)0x6ee21c6, (q31_t)0x6e7dba1, + (q31_t)0x6e19578, + (q31_t)0x6db4f4a, (q31_t)0x6d50919, (q31_t)0x6cec2e3, (q31_t)0x6c87ca9, (q31_t)0x6c2366a, (q31_t)0x6bbf028, (q31_t)0x6b5a9e1, + (q31_t)0x6af6396, + (q31_t)0x6a91d47, (q31_t)0x6a2d6f4, (q31_t)0x69c909d, (q31_t)0x6964a42, (q31_t)0x69003e3, (q31_t)0x689bd80, (q31_t)0x6837718, + (q31_t)0x67d30ad, + (q31_t)0x676ea3d, (q31_t)0x670a3ca, (q31_t)0x66a5d53, (q31_t)0x66416d8, (q31_t)0x65dd058, (q31_t)0x65789d5, (q31_t)0x651434e, + (q31_t)0x64afcc3, + (q31_t)0x644b634, (q31_t)0x63e6fa2, (q31_t)0x638290b, (q31_t)0x631e271, (q31_t)0x62b9bd3, (q31_t)0x6255531, (q31_t)0x61f0e8b, + (q31_t)0x618c7e1, + (q31_t)0x6128134, (q31_t)0x60c3a83, (q31_t)0x605f3ce, (q31_t)0x5ffad15, (q31_t)0x5f96659, (q31_t)0x5f31f99, (q31_t)0x5ecd8d6, + (q31_t)0x5e6920e, + (q31_t)0x5e04b43, (q31_t)0x5da0475, (q31_t)0x5d3bda3, (q31_t)0x5cd76cd, (q31_t)0x5c72ff4, (q31_t)0x5c0e917, (q31_t)0x5baa237, + (q31_t)0x5b45b53, + (q31_t)0x5ae146b, (q31_t)0x5a7cd80, (q31_t)0x5a18692, (q31_t)0x59b3fa0, (q31_t)0x594f8aa, (q31_t)0x58eb1b2, (q31_t)0x5886ab5, + (q31_t)0x58223b6, + (q31_t)0x57bdcb3, (q31_t)0x57595ac, (q31_t)0x56f4ea2, (q31_t)0x5690795, (q31_t)0x562c085, (q31_t)0x55c7971, (q31_t)0x556325a, + (q31_t)0x54feb3f, + (q31_t)0x549a422, (q31_t)0x5435d01, (q31_t)0x53d15dd, (q31_t)0x536ceb5, (q31_t)0x530878a, (q31_t)0x52a405d, (q31_t)0x523f92c, + (q31_t)0x51db1f7, + (q31_t)0x5176ac0, (q31_t)0x5112385, (q31_t)0x50adc48, (q31_t)0x5049507, (q31_t)0x4fe4dc3, (q31_t)0x4f8067c, (q31_t)0x4f1bf32, + (q31_t)0x4eb77e5, + (q31_t)0x4e53095, (q31_t)0x4dee942, (q31_t)0x4d8a1ec, (q31_t)0x4d25a93, (q31_t)0x4cc1337, (q31_t)0x4c5cbd8, (q31_t)0x4bf8476, + (q31_t)0x4b93d11, + (q31_t)0x4b2f5a9, (q31_t)0x4acae3e, (q31_t)0x4a666d1, (q31_t)0x4a01f60, (q31_t)0x499d7ed, (q31_t)0x4939077, (q31_t)0x48d48fe, + (q31_t)0x4870182, + (q31_t)0x480ba04, (q31_t)0x47a7282, (q31_t)0x4742afe, (q31_t)0x46de377, (q31_t)0x4679bee, (q31_t)0x4615461, (q31_t)0x45b0cd2, + (q31_t)0x454c541, + (q31_t)0x44e7dac, (q31_t)0x4483615, (q31_t)0x441ee7c, (q31_t)0x43ba6df, (q31_t)0x4355f40, (q31_t)0x42f179f, (q31_t)0x428cffb, + (q31_t)0x4228854, + (q31_t)0x41c40ab, (q31_t)0x415f8ff, (q31_t)0x40fb151, (q31_t)0x40969a0, (q31_t)0x40321ed, (q31_t)0x3fcda37, (q31_t)0x3f6927f, + (q31_t)0x3f04ac4, + (q31_t)0x3ea0307, (q31_t)0x3e3bb48, (q31_t)0x3dd7386, (q31_t)0x3d72bc2, (q31_t)0x3d0e3fb, (q31_t)0x3ca9c32, (q31_t)0x3c45467, + (q31_t)0x3be0c99, + (q31_t)0x3b7c4c9, (q31_t)0x3b17cf7, (q31_t)0x3ab3523, (q31_t)0x3a4ed4c, (q31_t)0x39ea573, (q31_t)0x3985d97, (q31_t)0x39215ba, + (q31_t)0x38bcdda, + (q31_t)0x38585f8, (q31_t)0x37f3e14, (q31_t)0x378f62e, (q31_t)0x372ae46, (q31_t)0x36c665b, (q31_t)0x3661e6f, (q31_t)0x35fd680, + (q31_t)0x3598e8f, + (q31_t)0x353469c, (q31_t)0x34cfea8, (q31_t)0x346b6b1, (q31_t)0x3406eb8, (q31_t)0x33a26bd, (q31_t)0x333dec0, (q31_t)0x32d96c1, + (q31_t)0x3274ec0, + (q31_t)0x32106bd, (q31_t)0x31abeb9, (q31_t)0x31476b2, (q31_t)0x30e2ea9, (q31_t)0x307e69f, (q31_t)0x3019e93, (q31_t)0x2fb5684, + (q31_t)0x2f50e74, + (q31_t)0x2eec663, (q31_t)0x2e87e4f, (q31_t)0x2e2363a, (q31_t)0x2dbee22, (q31_t)0x2d5a609, (q31_t)0x2cf5def, (q31_t)0x2c915d2, + (q31_t)0x2c2cdb4, + (q31_t)0x2bc8594, (q31_t)0x2b63d73, (q31_t)0x2aff54f, (q31_t)0x2a9ad2a, (q31_t)0x2a36504, (q31_t)0x29d1cdc, (q31_t)0x296d4b2, + (q31_t)0x2908c87, + (q31_t)0x28a445a, (q31_t)0x283fc2b, (q31_t)0x27db3fb, (q31_t)0x2776bc9, (q31_t)0x2712396, (q31_t)0x26adb62, (q31_t)0x264932b, + (q31_t)0x25e4af4, + (q31_t)0x25802bb, (q31_t)0x251ba80, (q31_t)0x24b7244, (q31_t)0x2452a07, (q31_t)0x23ee1c8, (q31_t)0x2389988, (q31_t)0x2325147, + (q31_t)0x22c0904, + (q31_t)0x225c0bf, (q31_t)0x21f787a, (q31_t)0x2193033, (q31_t)0x212e7eb, (q31_t)0x20c9fa1, (q31_t)0x2065757, (q31_t)0x2000f0b, + (q31_t)0x1f9c6be, + (q31_t)0x1f37e6f, (q31_t)0x1ed3620, (q31_t)0x1e6edcf, (q31_t)0x1e0a57d, (q31_t)0x1da5d2a, (q31_t)0x1d414d6, (q31_t)0x1cdcc80, + (q31_t)0x1c7842a, + (q31_t)0x1c13bd2, (q31_t)0x1baf37a, (q31_t)0x1b4ab20, (q31_t)0x1ae62c5, (q31_t)0x1a81a69, (q31_t)0x1a1d20c, (q31_t)0x19b89ae, + (q31_t)0x1954150, + (q31_t)0x18ef8f0, (q31_t)0x188b08f, (q31_t)0x182682d, (q31_t)0x17c1fcb, (q31_t)0x175d767, (q31_t)0x16f8f03, (q31_t)0x169469d, + (q31_t)0x162fe37, + (q31_t)0x15cb5d0, (q31_t)0x1566d68, (q31_t)0x15024ff, (q31_t)0x149dc96, (q31_t)0x143942b, (q31_t)0x13d4bc0, (q31_t)0x1370354, + (q31_t)0x130bae7, + (q31_t)0x12a727a, (q31_t)0x1242a0c, (q31_t)0x11de19d, (q31_t)0x117992e, (q31_t)0x11150be, (q31_t)0x10b084d, (q31_t)0x104bfdb, + (q31_t)0xfe7769, + (q31_t)0xf82ef6, (q31_t)0xf1e683, (q31_t)0xeb9e0f, (q31_t)0xe5559b, (q31_t)0xdf0d26, (q31_t)0xd8c4b0, (q31_t)0xd27c3a, + (q31_t)0xcc33c3, + (q31_t)0xc5eb4c, (q31_t)0xbfa2d5, (q31_t)0xb95a5d, (q31_t)0xb311e4, (q31_t)0xacc96b, (q31_t)0xa680f2, (q31_t)0xa03878, + (q31_t)0x99effe, + (q31_t)0x93a784, (q31_t)0x8d5f09, (q31_t)0x87168e, (q31_t)0x80ce12, (q31_t)0x7a8597, (q31_t)0x743d1a, (q31_t)0x6df49e, + (q31_t)0x67ac21, + (q31_t)0x6163a5, (q31_t)0x5b1b27, (q31_t)0x54d2aa, (q31_t)0x4e8a2c, (q31_t)0x4841af, (q31_t)0x41f931, (q31_t)0x3bb0b3, + (q31_t)0x356835, + (q31_t)0x2f1fb6, (q31_t)0x28d738, (q31_t)0x228eb9, (q31_t)0x1c463b, (q31_t)0x15fdbc, (q31_t)0xfb53d, (q31_t)0x96cbe, (q31_t)0x3243f +}; + +/** + * @} end of DCT4_IDCT4_Table group + */ + +/** + * @addtogroup DCT4_IDCT4 + * @{ + */ + +/** + * @brief Initialization function for the Q31 DCT4/IDCT4. + * @param[in,out] *S points to an instance of Q31 DCT4/IDCT4 structure. + * @param[in] *S_RFFT points to an instance of Q31 RFFT/RIFFT structure + * @param[in] *S_CFFT points to an instance of Q31 CFFT/CIFFT structure + * @param[in] N length of the DCT4. + * @param[in] Nby2 half of the length of the DCT4. + * @param[in] normalize normalizing factor. + * @return arm_status function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if N is not a supported transform length. + * \par Normalizing factor: + * The normalizing factor is sqrt(2/N), which depends on the size of transform N. + * Normalizing factors in 1.31 format are mentioned in the table below for different DCT sizes: + * \image html dct4NormalizingQ31Table.gif + */ + +arm_status arm_dct4_init_q31( + arm_dct4_instance_q31 * S, + arm_rfft_instance_q31 * S_RFFT, + arm_cfft_radix4_instance_q31 * S_CFFT, + uint16_t N, + uint16_t Nby2, + q31_t normalize) +{ + /* Initialise the default arm status */ + arm_status status = ARM_MATH_SUCCESS; + + /* Initializing the pointer array with the weight table base addresses of different lengths */ + q31_t *twiddlePtr[4] = { (q31_t *) WeightsQ31_128, (q31_t *) WeightsQ31_512, + (q31_t *) WeightsQ31_2048, (q31_t *) WeightsQ31_8192 + }; + + /* Initializing the pointer array with the cos factor table base addresses of different lengths */ + q31_t *pCosFactor[4] = + { (q31_t *) cos_factorsQ31_128, (q31_t *) cos_factorsQ31_512, + (q31_t *) cos_factorsQ31_2048, (q31_t *) cos_factorsQ31_8192 + }; + + /* Initialize the DCT4 length */ + S->N = N; + + /* Initialize the half of DCT4 length */ + S->Nby2 = Nby2; + + /* Initialize the DCT4 Normalizing factor */ + S->normalize = normalize; + + /* Initialize Real FFT Instance */ + S->pRfft = S_RFFT; + + /* Initialize Complex FFT Instance */ + S->pCfft = S_CFFT; + + switch (N) + { + /* Initialize the table modifier values */ + case 8192U: + S->pTwiddle = twiddlePtr[3]; + S->pCosFactor = pCosFactor[3]; + break; + case 2048U: + S->pTwiddle = twiddlePtr[2]; + S->pCosFactor = pCosFactor[2]; + break; + case 512U: + S->pTwiddle = twiddlePtr[1]; + S->pCosFactor = pCosFactor[1]; + break; + case 128U: + S->pTwiddle = twiddlePtr[0]; + S->pCosFactor = pCosFactor[0]; + break; + default: + status = ARM_MATH_ARGUMENT_ERROR; + } + + /* Initialize the RFFT/RIFFT Function */ + arm_rfft_init_q31(S->pRfft, S->N, 0, 1); + + /* return the status of DCT4 Init function */ + return (status); +} + +/** + * @} end of DCT4_IDCT4 group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_dct4_q15.c b/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_dct4_q15.c new file mode 100644 index 0000000..4fd7f6e --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_dct4_q15.c @@ -0,0 +1,382 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_dct4_q15.c + * Description: Processing function of DCT4 & IDCT4 Q15 + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @addtogroup DCT4_IDCT4 + * @{ + */ + +/** + * @brief Processing function for the Q15 DCT4/IDCT4. + * @param[in] *S points to an instance of the Q15 DCT4 structure. + * @param[in] *pState points to state buffer. + * @param[in,out] *pInlineBuffer points to the in-place input and output buffer. + * @return none. + * + * \par Input an output formats: + * Internally inputs are downscaled in the RFFT process function to avoid overflows. + * Number of bits downscaled, depends on the size of the transform. + * The input and output formats for different DCT sizes and number of bits to upscale are mentioned in the table below: + * + * \image html dct4FormatsQ15Table.gif + */ + +void arm_dct4_q15( + const arm_dct4_instance_q15 * S, + q15_t * pState, + q15_t * pInlineBuffer) +{ + uint32_t i; /* Loop counter */ + q15_t *weights = S->pTwiddle; /* Pointer to the Weights table */ + q15_t *cosFact = S->pCosFactor; /* Pointer to the cos factors table */ + q15_t *pS1, *pS2, *pbuff; /* Temporary pointers for input buffer and pState buffer */ + q15_t in; /* Temporary variable */ + + + /* DCT4 computation involves DCT2 (which is calculated using RFFT) + * along with some pre-processing and post-processing. + * Computational procedure is explained as follows: + * (a) Pre-processing involves multiplying input with cos factor, + * r(n) = 2 * u(n) * cos(pi*(2*n+1)/(4*n)) + * where, + * r(n) -- output of preprocessing + * u(n) -- input to preprocessing(actual Source buffer) + * (b) Calculation of DCT2 using FFT is divided into three steps: + * Step1: Re-ordering of even and odd elements of input. + * Step2: Calculating FFT of the re-ordered input. + * Step3: Taking the real part of the product of FFT output and weights. + * (c) Post-processing - DCT4 can be obtained from DCT2 output using the following equation: + * Y4(k) = Y2(k) - Y4(k-1) and Y4(-1) = Y4(0) + * where, + * Y4 -- DCT4 output, Y2 -- DCT2 output + * (d) Multiplying the output with the normalizing factor sqrt(2/N). + */ + + /*-------- Pre-processing ------------*/ + /* Multiplying input with cos factor i.e. r(n) = 2 * x(n) * cos(pi*(2*n+1)/(4*n)) */ + arm_mult_q15(pInlineBuffer, cosFact, pInlineBuffer, S->N); + arm_shift_q15(pInlineBuffer, 1, pInlineBuffer, S->N); + + /* ---------------------------------------------------------------- + * Step1: Re-ordering of even and odd elements as + * pState[i] = pInlineBuffer[2*i] and + * pState[N-i-1] = pInlineBuffer[2*i+1] where i = 0 to N/2 + ---------------------------------------------------------------------*/ + + /* pS1 initialized to pState */ + pS1 = pState; + + /* pS2 initialized to pState+N-1, so that it points to the end of the state buffer */ + pS2 = pState + (S->N - 1U); + + /* pbuff initialized to input buffer */ + pbuff = pInlineBuffer; + + +#if defined (ARM_MATH_DSP) + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + /* Initializing the loop counter to N/2 >> 2 for loop unrolling by 4 */ + i = (uint32_t) S->Nby2 >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + do + { + /* Re-ordering of even and odd elements */ + /* pState[i] = pInlineBuffer[2*i] */ + *pS1++ = *pbuff++; + /* pState[N-i-1] = pInlineBuffer[2*i+1] */ + *pS2-- = *pbuff++; + + *pS1++ = *pbuff++; + *pS2-- = *pbuff++; + + *pS1++ = *pbuff++; + *pS2-- = *pbuff++; + + *pS1++ = *pbuff++; + *pS2-- = *pbuff++; + + /* Decrement the loop counter */ + i--; + } while (i > 0U); + + /* pbuff initialized to input buffer */ + pbuff = pInlineBuffer; + + /* pS1 initialized to pState */ + pS1 = pState; + + /* Initializing the loop counter to N/4 instead of N for loop unrolling */ + i = (uint32_t) S->N >> 2U; + + /* Processing with loop unrolling 4 times as N is always multiple of 4. + * Compute 4 outputs at a time */ + do + { + /* Writing the re-ordered output back to inplace input buffer */ + *pbuff++ = *pS1++; + *pbuff++ = *pS1++; + *pbuff++ = *pS1++; + *pbuff++ = *pS1++; + + /* Decrement the loop counter */ + i--; + } while (i > 0U); + + + /* --------------------------------------------------------- + * Step2: Calculate RFFT for N-point input + * ---------------------------------------------------------- */ + /* pInlineBuffer is real input of length N , pState is the complex output of length 2N */ + arm_rfft_q15(S->pRfft, pInlineBuffer, pState); + + /*---------------------------------------------------------------------- + * Step3: Multiply the FFT output with the weights. + *----------------------------------------------------------------------*/ + arm_cmplx_mult_cmplx_q15(pState, weights, pState, S->N); + + /* The output of complex multiplication is in 3.13 format. + * Hence changing the format of N (i.e. 2*N elements) complex numbers to 1.15 format by shifting left by 2 bits. */ + arm_shift_q15(pState, 2, pState, S->N * 2); + + /* ----------- Post-processing ---------- */ + /* DCT-IV can be obtained from DCT-II by the equation, + * Y4(k) = Y2(k) - Y4(k-1) and Y4(-1) = Y4(0) + * Hence, Y4(0) = Y2(0)/2 */ + /* Getting only real part from the output and Converting to DCT-IV */ + + /* Initializing the loop counter to N >> 2 for loop unrolling by 4 */ + i = ((uint32_t) S->N - 1U) >> 2U; + + /* pbuff initialized to input buffer. */ + pbuff = pInlineBuffer; + + /* pS1 initialized to pState */ + pS1 = pState; + + /* Calculating Y4(0) from Y2(0) using Y4(0) = Y2(0)/2 */ + in = *pS1++ >> 1U; + /* input buffer acts as inplace, so output values are stored in the input itself. */ + *pbuff++ = in; + + /* pState pointer is incremented twice as the real values are located alternatively in the array */ + pS1++; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + do + { + /* Calculating Y4(1) to Y4(N-1) from Y2 using equation Y4(k) = Y2(k) - Y4(k-1) */ + /* pState pointer (pS1) is incremented twice as the real values are located alternatively in the array */ + in = *pS1++ - in; + *pbuff++ = in; + /* points to the next real value */ + pS1++; + + in = *pS1++ - in; + *pbuff++ = in; + pS1++; + + in = *pS1++ - in; + *pbuff++ = in; + pS1++; + + in = *pS1++ - in; + *pbuff++ = in; + pS1++; + + /* Decrement the loop counter */ + i--; + } while (i > 0U); + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + i = ((uint32_t) S->N - 1U) % 0x4U; + + while (i > 0U) + { + /* Calculating Y4(1) to Y4(N-1) from Y2 using equation Y4(k) = Y2(k) - Y4(k-1) */ + /* pState pointer (pS1) is incremented twice as the real values are located alternatively in the array */ + in = *pS1++ - in; + *pbuff++ = in; + /* points to the next real value */ + pS1++; + + /* Decrement the loop counter */ + i--; + } + + + /*------------ Normalizing the output by multiplying with the normalizing factor ----------*/ + + /* Initializing the loop counter to N/4 instead of N for loop unrolling */ + i = (uint32_t) S->N >> 2U; + + /* pbuff initialized to the pInlineBuffer(now contains the output values) */ + pbuff = pInlineBuffer; + + /* Processing with loop unrolling 4 times as N is always multiple of 4. Compute 4 outputs at a time */ + do + { + /* Multiplying pInlineBuffer with the normalizing factor sqrt(2/N) */ + in = *pbuff; + *pbuff++ = ((q15_t) (((q31_t) in * S->normalize) >> 15)); + + in = *pbuff; + *pbuff++ = ((q15_t) (((q31_t) in * S->normalize) >> 15)); + + in = *pbuff; + *pbuff++ = ((q15_t) (((q31_t) in * S->normalize) >> 15)); + + in = *pbuff; + *pbuff++ = ((q15_t) (((q31_t) in * S->normalize) >> 15)); + + /* Decrement the loop counter */ + i--; + } while (i > 0U); + + +#else + + /* Run the below code for Cortex-M0 */ + + /* Initializing the loop counter to N/2 */ + i = (uint32_t) S->Nby2; + + do + { + /* Re-ordering of even and odd elements */ + /* pState[i] = pInlineBuffer[2*i] */ + *pS1++ = *pbuff++; + /* pState[N-i-1] = pInlineBuffer[2*i+1] */ + *pS2-- = *pbuff++; + + /* Decrement the loop counter */ + i--; + } while (i > 0U); + + /* pbuff initialized to input buffer */ + pbuff = pInlineBuffer; + + /* pS1 initialized to pState */ + pS1 = pState; + + /* Initializing the loop counter */ + i = (uint32_t) S->N; + + do + { + /* Writing the re-ordered output back to inplace input buffer */ + *pbuff++ = *pS1++; + + /* Decrement the loop counter */ + i--; + } while (i > 0U); + + + /* --------------------------------------------------------- + * Step2: Calculate RFFT for N-point input + * ---------------------------------------------------------- */ + /* pInlineBuffer is real input of length N , pState is the complex output of length 2N */ + arm_rfft_q15(S->pRfft, pInlineBuffer, pState); + + /*---------------------------------------------------------------------- + * Step3: Multiply the FFT output with the weights. + *----------------------------------------------------------------------*/ + arm_cmplx_mult_cmplx_q15(pState, weights, pState, S->N); + + /* The output of complex multiplication is in 3.13 format. + * Hence changing the format of N (i.e. 2*N elements) complex numbers to 1.15 format by shifting left by 2 bits. */ + arm_shift_q15(pState, 2, pState, S->N * 2); + + /* ----------- Post-processing ---------- */ + /* DCT-IV can be obtained from DCT-II by the equation, + * Y4(k) = Y2(k) - Y4(k-1) and Y4(-1) = Y4(0) + * Hence, Y4(0) = Y2(0)/2 */ + /* Getting only real part from the output and Converting to DCT-IV */ + + /* Initializing the loop counter */ + i = ((uint32_t) S->N - 1U); + + /* pbuff initialized to input buffer. */ + pbuff = pInlineBuffer; + + /* pS1 initialized to pState */ + pS1 = pState; + + /* Calculating Y4(0) from Y2(0) using Y4(0) = Y2(0)/2 */ + in = *pS1++ >> 1U; + /* input buffer acts as inplace, so output values are stored in the input itself. */ + *pbuff++ = in; + + /* pState pointer is incremented twice as the real values are located alternatively in the array */ + pS1++; + + do + { + /* Calculating Y4(1) to Y4(N-1) from Y2 using equation Y4(k) = Y2(k) - Y4(k-1) */ + /* pState pointer (pS1) is incremented twice as the real values are located alternatively in the array */ + in = *pS1++ - in; + *pbuff++ = in; + /* points to the next real value */ + pS1++; + + /* Decrement the loop counter */ + i--; + } while (i > 0U); + + /*------------ Normalizing the output by multiplying with the normalizing factor ----------*/ + + /* Initializing the loop counter */ + i = (uint32_t) S->N; + + /* pbuff initialized to the pInlineBuffer(now contains the output values) */ + pbuff = pInlineBuffer; + + do + { + /* Multiplying pInlineBuffer with the normalizing factor sqrt(2/N) */ + in = *pbuff; + *pbuff++ = ((q15_t) (((q31_t) in * S->normalize) >> 15)); + + /* Decrement the loop counter */ + i--; + } while (i > 0U); + +#endif /* #if defined (ARM_MATH_DSP) */ + +} + +/** + * @} end of DCT4_IDCT4 group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_dct4_q31.c b/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_dct4_q31.c new file mode 100644 index 0000000..7191208 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_dct4_q31.c @@ -0,0 +1,383 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_dct4_q31.c + * Description: Processing function of DCT4 & IDCT4 Q31 + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @addtogroup DCT4_IDCT4 + * @{ + */ + +/** + * @brief Processing function for the Q31 DCT4/IDCT4. + * @param[in] *S points to an instance of the Q31 DCT4 structure. + * @param[in] *pState points to state buffer. + * @param[in,out] *pInlineBuffer points to the in-place input and output buffer. + * @return none. + * \par Input an output formats: + * Input samples need to be downscaled by 1 bit to avoid saturations in the Q31 DCT process, + * as the conversion from DCT2 to DCT4 involves one subtraction. + * Internally inputs are downscaled in the RFFT process function to avoid overflows. + * Number of bits downscaled, depends on the size of the transform. + * The input and output formats for different DCT sizes and number of bits to upscale are mentioned in the table below: + * + * \image html dct4FormatsQ31Table.gif + */ + +void arm_dct4_q31( + const arm_dct4_instance_q31 * S, + q31_t * pState, + q31_t * pInlineBuffer) +{ + uint16_t i; /* Loop counter */ + q31_t *weights = S->pTwiddle; /* Pointer to the Weights table */ + q31_t *cosFact = S->pCosFactor; /* Pointer to the cos factors table */ + q31_t *pS1, *pS2, *pbuff; /* Temporary pointers for input buffer and pState buffer */ + q31_t in; /* Temporary variable */ + + + /* DCT4 computation involves DCT2 (which is calculated using RFFT) + * along with some pre-processing and post-processing. + * Computational procedure is explained as follows: + * (a) Pre-processing involves multiplying input with cos factor, + * r(n) = 2 * u(n) * cos(pi*(2*n+1)/(4*n)) + * where, + * r(n) -- output of preprocessing + * u(n) -- input to preprocessing(actual Source buffer) + * (b) Calculation of DCT2 using FFT is divided into three steps: + * Step1: Re-ordering of even and odd elements of input. + * Step2: Calculating FFT of the re-ordered input. + * Step3: Taking the real part of the product of FFT output and weights. + * (c) Post-processing - DCT4 can be obtained from DCT2 output using the following equation: + * Y4(k) = Y2(k) - Y4(k-1) and Y4(-1) = Y4(0) + * where, + * Y4 -- DCT4 output, Y2 -- DCT2 output + * (d) Multiplying the output with the normalizing factor sqrt(2/N). + */ + + /*-------- Pre-processing ------------*/ + /* Multiplying input with cos factor i.e. r(n) = 2 * x(n) * cos(pi*(2*n+1)/(4*n)) */ + arm_mult_q31(pInlineBuffer, cosFact, pInlineBuffer, S->N); + arm_shift_q31(pInlineBuffer, 1, pInlineBuffer, S->N); + + /* ---------------------------------------------------------------- + * Step1: Re-ordering of even and odd elements as + * pState[i] = pInlineBuffer[2*i] and + * pState[N-i-1] = pInlineBuffer[2*i+1] where i = 0 to N/2 + ---------------------------------------------------------------------*/ + + /* pS1 initialized to pState */ + pS1 = pState; + + /* pS2 initialized to pState+N-1, so that it points to the end of the state buffer */ + pS2 = pState + (S->N - 1U); + + /* pbuff initialized to input buffer */ + pbuff = pInlineBuffer; + +#if defined (ARM_MATH_DSP) + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + + /* Initializing the loop counter to N/2 >> 2 for loop unrolling by 4 */ + i = S->Nby2 >> 2U; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + do + { + /* Re-ordering of even and odd elements */ + /* pState[i] = pInlineBuffer[2*i] */ + *pS1++ = *pbuff++; + /* pState[N-i-1] = pInlineBuffer[2*i+1] */ + *pS2-- = *pbuff++; + + *pS1++ = *pbuff++; + *pS2-- = *pbuff++; + + *pS1++ = *pbuff++; + *pS2-- = *pbuff++; + + *pS1++ = *pbuff++; + *pS2-- = *pbuff++; + + /* Decrement the loop counter */ + i--; + } while (i > 0U); + + /* pbuff initialized to input buffer */ + pbuff = pInlineBuffer; + + /* pS1 initialized to pState */ + pS1 = pState; + + /* Initializing the loop counter to N/4 instead of N for loop unrolling */ + i = S->N >> 2U; + + /* Processing with loop unrolling 4 times as N is always multiple of 4. + * Compute 4 outputs at a time */ + do + { + /* Writing the re-ordered output back to inplace input buffer */ + *pbuff++ = *pS1++; + *pbuff++ = *pS1++; + *pbuff++ = *pS1++; + *pbuff++ = *pS1++; + + /* Decrement the loop counter */ + i--; + } while (i > 0U); + + + /* --------------------------------------------------------- + * Step2: Calculate RFFT for N-point input + * ---------------------------------------------------------- */ + /* pInlineBuffer is real input of length N , pState is the complex output of length 2N */ + arm_rfft_q31(S->pRfft, pInlineBuffer, pState); + + /*---------------------------------------------------------------------- + * Step3: Multiply the FFT output with the weights. + *----------------------------------------------------------------------*/ + arm_cmplx_mult_cmplx_q31(pState, weights, pState, S->N); + + /* The output of complex multiplication is in 3.29 format. + * Hence changing the format of N (i.e. 2*N elements) complex numbers to 1.31 format by shifting left by 2 bits. */ + arm_shift_q31(pState, 2, pState, S->N * 2); + + /* ----------- Post-processing ---------- */ + /* DCT-IV can be obtained from DCT-II by the equation, + * Y4(k) = Y2(k) - Y4(k-1) and Y4(-1) = Y4(0) + * Hence, Y4(0) = Y2(0)/2 */ + /* Getting only real part from the output and Converting to DCT-IV */ + + /* Initializing the loop counter to N >> 2 for loop unrolling by 4 */ + i = (S->N - 1U) >> 2U; + + /* pbuff initialized to input buffer. */ + pbuff = pInlineBuffer; + + /* pS1 initialized to pState */ + pS1 = pState; + + /* Calculating Y4(0) from Y2(0) using Y4(0) = Y2(0)/2 */ + in = *pS1++ >> 1U; + /* input buffer acts as inplace, so output values are stored in the input itself. */ + *pbuff++ = in; + + /* pState pointer is incremented twice as the real values are located alternatively in the array */ + pS1++; + + /* First part of the processing with loop unrolling. Compute 4 outputs at a time. + ** a second loop below computes the remaining 1 to 3 samples. */ + do + { + /* Calculating Y4(1) to Y4(N-1) from Y2 using equation Y4(k) = Y2(k) - Y4(k-1) */ + /* pState pointer (pS1) is incremented twice as the real values are located alternatively in the array */ + in = *pS1++ - in; + *pbuff++ = in; + /* points to the next real value */ + pS1++; + + in = *pS1++ - in; + *pbuff++ = in; + pS1++; + + in = *pS1++ - in; + *pbuff++ = in; + pS1++; + + in = *pS1++ - in; + *pbuff++ = in; + pS1++; + + /* Decrement the loop counter */ + i--; + } while (i > 0U); + + /* If the blockSize is not a multiple of 4, compute any remaining output samples here. + ** No loop unrolling is used. */ + i = (S->N - 1U) % 0x4U; + + while (i > 0U) + { + /* Calculating Y4(1) to Y4(N-1) from Y2 using equation Y4(k) = Y2(k) - Y4(k-1) */ + /* pState pointer (pS1) is incremented twice as the real values are located alternatively in the array */ + in = *pS1++ - in; + *pbuff++ = in; + /* points to the next real value */ + pS1++; + + /* Decrement the loop counter */ + i--; + } + + + /*------------ Normalizing the output by multiplying with the normalizing factor ----------*/ + + /* Initializing the loop counter to N/4 instead of N for loop unrolling */ + i = S->N >> 2U; + + /* pbuff initialized to the pInlineBuffer(now contains the output values) */ + pbuff = pInlineBuffer; + + /* Processing with loop unrolling 4 times as N is always multiple of 4. Compute 4 outputs at a time */ + do + { + /* Multiplying pInlineBuffer with the normalizing factor sqrt(2/N) */ + in = *pbuff; + *pbuff++ = ((q31_t) (((q63_t) in * S->normalize) >> 31)); + + in = *pbuff; + *pbuff++ = ((q31_t) (((q63_t) in * S->normalize) >> 31)); + + in = *pbuff; + *pbuff++ = ((q31_t) (((q63_t) in * S->normalize) >> 31)); + + in = *pbuff; + *pbuff++ = ((q31_t) (((q63_t) in * S->normalize) >> 31)); + + /* Decrement the loop counter */ + i--; + } while (i > 0U); + + +#else + + /* Run the below code for Cortex-M0 */ + + /* Initializing the loop counter to N/2 */ + i = S->Nby2; + + do + { + /* Re-ordering of even and odd elements */ + /* pState[i] = pInlineBuffer[2*i] */ + *pS1++ = *pbuff++; + /* pState[N-i-1] = pInlineBuffer[2*i+1] */ + *pS2-- = *pbuff++; + + /* Decrement the loop counter */ + i--; + } while (i > 0U); + + /* pbuff initialized to input buffer */ + pbuff = pInlineBuffer; + + /* pS1 initialized to pState */ + pS1 = pState; + + /* Initializing the loop counter */ + i = S->N; + + do + { + /* Writing the re-ordered output back to inplace input buffer */ + *pbuff++ = *pS1++; + + /* Decrement the loop counter */ + i--; + } while (i > 0U); + + + /* --------------------------------------------------------- + * Step2: Calculate RFFT for N-point input + * ---------------------------------------------------------- */ + /* pInlineBuffer is real input of length N , pState is the complex output of length 2N */ + arm_rfft_q31(S->pRfft, pInlineBuffer, pState); + + /*---------------------------------------------------------------------- + * Step3: Multiply the FFT output with the weights. + *----------------------------------------------------------------------*/ + arm_cmplx_mult_cmplx_q31(pState, weights, pState, S->N); + + /* The output of complex multiplication is in 3.29 format. + * Hence changing the format of N (i.e. 2*N elements) complex numbers to 1.31 format by shifting left by 2 bits. */ + arm_shift_q31(pState, 2, pState, S->N * 2); + + /* ----------- Post-processing ---------- */ + /* DCT-IV can be obtained from DCT-II by the equation, + * Y4(k) = Y2(k) - Y4(k-1) and Y4(-1) = Y4(0) + * Hence, Y4(0) = Y2(0)/2 */ + /* Getting only real part from the output and Converting to DCT-IV */ + + /* pbuff initialized to input buffer. */ + pbuff = pInlineBuffer; + + /* pS1 initialized to pState */ + pS1 = pState; + + /* Calculating Y4(0) from Y2(0) using Y4(0) = Y2(0)/2 */ + in = *pS1++ >> 1U; + /* input buffer acts as inplace, so output values are stored in the input itself. */ + *pbuff++ = in; + + /* pState pointer is incremented twice as the real values are located alternatively in the array */ + pS1++; + + /* Initializing the loop counter */ + i = (S->N - 1U); + + while (i > 0U) + { + /* Calculating Y4(1) to Y4(N-1) from Y2 using equation Y4(k) = Y2(k) - Y4(k-1) */ + /* pState pointer (pS1) is incremented twice as the real values are located alternatively in the array */ + in = *pS1++ - in; + *pbuff++ = in; + /* points to the next real value */ + pS1++; + + /* Decrement the loop counter */ + i--; + } + + + /*------------ Normalizing the output by multiplying with the normalizing factor ----------*/ + + /* Initializing the loop counter */ + i = S->N; + + /* pbuff initialized to the pInlineBuffer(now contains the output values) */ + pbuff = pInlineBuffer; + + do + { + /* Multiplying pInlineBuffer with the normalizing factor sqrt(2/N) */ + in = *pbuff; + *pbuff++ = ((q31_t) (((q63_t) in * S->normalize) >> 31)); + + /* Decrement the loop counter */ + i--; + } while (i > 0U); + +#endif /* #if defined (ARM_MATH_DSP) */ + +} + +/** + * @} end of DCT4_IDCT4 group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_rfft_f32.c b/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_rfft_f32.c new file mode 100644 index 0000000..16c75eb --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_rfft_f32.c @@ -0,0 +1,318 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_rfft_f32.c + * Description: RFFT & RIFFT Floating point process function + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/* ---------------------------------------------------------------------- + * Internal functions prototypes + * -------------------------------------------------------------------- */ + +extern void arm_radix4_butterfly_f32( + float32_t * pSrc, + uint16_t fftLen, + float32_t * pCoef, + uint16_t twidCoefModifier); + +extern void arm_radix4_butterfly_inverse_f32( + float32_t * pSrc, + uint16_t fftLen, + float32_t * pCoef, + uint16_t twidCoefModifier, + float32_t onebyfftLen); + +extern void arm_bitreversal_f32( + float32_t * pSrc, + uint16_t fftSize, + uint16_t bitRevFactor, + uint16_t * pBitRevTab); + +void arm_split_rfft_f32( + float32_t * pSrc, + uint32_t fftLen, + float32_t * pATable, + float32_t * pBTable, + float32_t * pDst, + uint32_t modifier); + +void arm_split_rifft_f32( + float32_t * pSrc, + uint32_t fftLen, + float32_t * pATable, + float32_t * pBTable, + float32_t * pDst, + uint32_t modifier); + +/** +* @ingroup groupTransforms +*/ + +/** + * @addtogroup RealFFT + * @{ + */ + +/** + * @brief Processing function for the floating-point RFFT/RIFFT. + * @deprecated Do not use this function. It has been superceded by \ref arm_rfft_fast_f32 and will be removed + * in the future. + * @param[in] *S points to an instance of the floating-point RFFT/RIFFT structure. + * @param[in] *pSrc points to the input buffer. + * @param[out] *pDst points to the output buffer. + * @return none. + */ + +void arm_rfft_f32( + const arm_rfft_instance_f32 * S, + float32_t * pSrc, + float32_t * pDst) +{ + const arm_cfft_radix4_instance_f32 *S_CFFT = S->pCfft; + + + /* Calculation of Real IFFT of input */ + if (S->ifftFlagR == 1U) + { + /* Real IFFT core process */ + arm_split_rifft_f32(pSrc, S->fftLenBy2, S->pTwiddleAReal, + S->pTwiddleBReal, pDst, S->twidCoefRModifier); + + + /* Complex radix-4 IFFT process */ + arm_radix4_butterfly_inverse_f32(pDst, S_CFFT->fftLen, + S_CFFT->pTwiddle, + S_CFFT->twidCoefModifier, + S_CFFT->onebyfftLen); + + /* Bit reversal process */ + if (S->bitReverseFlagR == 1U) + { + arm_bitreversal_f32(pDst, S_CFFT->fftLen, + S_CFFT->bitRevFactor, S_CFFT->pBitRevTable); + } + } + else + { + + /* Calculation of RFFT of input */ + + /* Complex radix-4 FFT process */ + arm_radix4_butterfly_f32(pSrc, S_CFFT->fftLen, + S_CFFT->pTwiddle, S_CFFT->twidCoefModifier); + + /* Bit reversal process */ + if (S->bitReverseFlagR == 1U) + { + arm_bitreversal_f32(pSrc, S_CFFT->fftLen, + S_CFFT->bitRevFactor, S_CFFT->pBitRevTable); + } + + + /* Real FFT core process */ + arm_split_rfft_f32(pSrc, S->fftLenBy2, S->pTwiddleAReal, + S->pTwiddleBReal, pDst, S->twidCoefRModifier); + } + +} + +/** + * @} end of RealFFT group + */ + +/** + * @brief Core Real FFT process + * @param[in] *pSrc points to the input buffer. + * @param[in] fftLen length of FFT. + * @param[in] *pATable points to the twiddle Coef A buffer. + * @param[in] *pBTable points to the twiddle Coef B buffer. + * @param[out] *pDst points to the output buffer. + * @param[in] modifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. + * @return none. + */ + +void arm_split_rfft_f32( + float32_t * pSrc, + uint32_t fftLen, + float32_t * pATable, + float32_t * pBTable, + float32_t * pDst, + uint32_t modifier) +{ + uint32_t i; /* Loop Counter */ + float32_t outR, outI; /* Temporary variables for output */ + float32_t *pCoefA, *pCoefB; /* Temporary pointers for twiddle factors */ + float32_t CoefA1, CoefA2, CoefB1; /* Temporary variables for twiddle coefficients */ + float32_t *pDst1 = &pDst[2], *pDst2 = &pDst[(4U * fftLen) - 1U]; /* temp pointers for output buffer */ + float32_t *pSrc1 = &pSrc[2], *pSrc2 = &pSrc[(2U * fftLen) - 1U]; /* temp pointers for input buffer */ + + /* Init coefficient pointers */ + pCoefA = &pATable[modifier * 2U]; + pCoefB = &pBTable[modifier * 2U]; + + i = fftLen - 1U; + + while (i > 0U) + { + /* + outR = (pSrc[2 * i] * pATable[2 * i] - pSrc[2 * i + 1] * pATable[2 * i + 1] + + pSrc[2 * n - 2 * i] * pBTable[2 * i] + + pSrc[2 * n - 2 * i + 1] * pBTable[2 * i + 1]); + */ + + /* outI = (pIn[2 * i + 1] * pATable[2 * i] + pIn[2 * i] * pATable[2 * i + 1] + + pIn[2 * n - 2 * i] * pBTable[2 * i + 1] - + pIn[2 * n - 2 * i + 1] * pBTable[2 * i]); */ + + /* read pATable[2 * i] */ + CoefA1 = *pCoefA++; + /* pATable[2 * i + 1] */ + CoefA2 = *pCoefA; + + /* pSrc[2 * i] * pATable[2 * i] */ + outR = *pSrc1 * CoefA1; + /* pSrc[2 * i] * CoefA2 */ + outI = *pSrc1++ * CoefA2; + + /* (pSrc[2 * i + 1] + pSrc[2 * fftLen - 2 * i + 1]) * CoefA2 */ + outR -= (*pSrc1 + *pSrc2) * CoefA2; + /* pSrc[2 * i + 1] * CoefA1 */ + outI += *pSrc1++ * CoefA1; + + CoefB1 = *pCoefB; + + /* pSrc[2 * fftLen - 2 * i + 1] * CoefB1 */ + outI -= *pSrc2-- * CoefB1; + /* pSrc[2 * fftLen - 2 * i] * CoefA2 */ + outI -= *pSrc2 * CoefA2; + + /* pSrc[2 * fftLen - 2 * i] * CoefB1 */ + outR += *pSrc2-- * CoefB1; + + /* write output */ + *pDst1++ = outR; + *pDst1++ = outI; + + /* write complex conjugate output */ + *pDst2-- = -outI; + *pDst2-- = outR; + + /* update coefficient pointer */ + pCoefB = pCoefB + (modifier * 2U); + pCoefA = pCoefA + ((modifier * 2U) - 1U); + + i--; + + } + + pDst[2U * fftLen] = pSrc[0] - pSrc[1]; + pDst[(2U * fftLen) + 1U] = 0.0f; + + pDst[0] = pSrc[0] + pSrc[1]; + pDst[1] = 0.0f; + +} + + +/** + * @brief Core Real IFFT process + * @param[in] *pSrc points to the input buffer. + * @param[in] fftLen length of FFT. + * @param[in] *pATable points to the twiddle Coef A buffer. + * @param[in] *pBTable points to the twiddle Coef B buffer. + * @param[out] *pDst points to the output buffer. + * @param[in] modifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. + * @return none. + */ + +void arm_split_rifft_f32( + float32_t * pSrc, + uint32_t fftLen, + float32_t * pATable, + float32_t * pBTable, + float32_t * pDst, + uint32_t modifier) +{ + float32_t outR, outI; /* Temporary variables for output */ + float32_t *pCoefA, *pCoefB; /* Temporary pointers for twiddle factors */ + float32_t CoefA1, CoefA2, CoefB1; /* Temporary variables for twiddle coefficients */ + float32_t *pSrc1 = &pSrc[0], *pSrc2 = &pSrc[(2U * fftLen) + 1U]; + + pCoefA = &pATable[0]; + pCoefB = &pBTable[0]; + + while (fftLen > 0U) + { + /* + outR = (pIn[2 * i] * pATable[2 * i] + pIn[2 * i + 1] * pATable[2 * i + 1] + + pIn[2 * n - 2 * i] * pBTable[2 * i] - + pIn[2 * n - 2 * i + 1] * pBTable[2 * i + 1]); + + outI = (pIn[2 * i + 1] * pATable[2 * i] - pIn[2 * i] * pATable[2 * i + 1] - + pIn[2 * n - 2 * i] * pBTable[2 * i + 1] - + pIn[2 * n - 2 * i + 1] * pBTable[2 * i]); + + */ + + CoefA1 = *pCoefA++; + CoefA2 = *pCoefA; + + /* outR = (pSrc[2 * i] * CoefA1 */ + outR = *pSrc1 * CoefA1; + + /* - pSrc[2 * i] * CoefA2 */ + outI = -(*pSrc1++) * CoefA2; + + /* (pSrc[2 * i + 1] + pSrc[2 * fftLen - 2 * i + 1]) * CoefA2 */ + outR += (*pSrc1 + *pSrc2) * CoefA2; + + /* pSrc[2 * i + 1] * CoefA1 */ + outI += (*pSrc1++) * CoefA1; + + CoefB1 = *pCoefB; + + /* - pSrc[2 * fftLen - 2 * i + 1] * CoefB1 */ + outI -= *pSrc2-- * CoefB1; + + /* pSrc[2 * fftLen - 2 * i] * CoefB1 */ + outR += *pSrc2 * CoefB1; + + /* pSrc[2 * fftLen - 2 * i] * CoefA2 */ + outI += *pSrc2-- * CoefA2; + + /* write output */ + *pDst++ = outR; + *pDst++ = outI; + + /* update coefficient pointer */ + pCoefB = pCoefB + (modifier * 2U); + pCoefA = pCoefA + ((modifier * 2U) - 1U); + + /* Decrement loop count */ + fftLen--; + } + +} diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_rfft_fast_f32.c b/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_rfft_fast_f32.c new file mode 100644 index 0000000..08e06e0 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_rfft_fast_f32.c @@ -0,0 +1,317 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_rfft_f32.c + * Description: RFFT & RIFFT Floating point process function + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +void stage_rfft_f32( + arm_rfft_fast_instance_f32 * S, + float32_t * p, float32_t * pOut) +{ + uint32_t k; /* Loop Counter */ + float32_t twR, twI; /* RFFT Twiddle coefficients */ + float32_t * pCoeff = S->pTwiddleRFFT; /* Points to RFFT Twiddle factors */ + float32_t *pA = p; /* increasing pointer */ + float32_t *pB = p; /* decreasing pointer */ + float32_t xAR, xAI, xBR, xBI; /* temporary variables */ + float32_t t1a, t1b; /* temporary variables */ + float32_t p0, p1, p2, p3; /* temporary variables */ + + + k = (S->Sint).fftLen - 1; + + /* Pack first and last sample of the frequency domain together */ + + xBR = pB[0]; + xBI = pB[1]; + xAR = pA[0]; + xAI = pA[1]; + + twR = *pCoeff++ ; + twI = *pCoeff++ ; + + // U1 = XA(1) + XB(1); % It is real + t1a = xBR + xAR ; + + // U2 = XB(1) - XA(1); % It is imaginary + t1b = xBI + xAI ; + + // real(tw * (xB - xA)) = twR * (xBR - xAR) - twI * (xBI - xAI); + // imag(tw * (xB - xA)) = twI * (xBR - xAR) + twR * (xBI - xAI); + *pOut++ = 0.5f * ( t1a + t1b ); + *pOut++ = 0.5f * ( t1a - t1b ); + + // XA(1) = 1/2*( U1 - imag(U2) + i*( U1 +imag(U2) )); + pB = p + 2*k; + pA += 2; + + do + { + /* + function X = my_split_rfft(X, ifftFlag) + % X is a series of real numbers + L = length(X); + XC = X(1:2:end) +i*X(2:2:end); + XA = fft(XC); + XB = conj(XA([1 end:-1:2])); + TW = i*exp(-2*pi*i*[0:L/2-1]/L).'; + for l = 2:L/2 + XA(l) = 1/2 * (XA(l) + XB(l) + TW(l) * (XB(l) - XA(l))); + end + XA(1) = 1/2* (XA(1) + XB(1) + TW(1) * (XB(1) - XA(1))) + i*( 1/2*( XA(1) + XB(1) + i*( XA(1) - XB(1)))); + X = XA; + */ + + xBI = pB[1]; + xBR = pB[0]; + xAR = pA[0]; + xAI = pA[1]; + + twR = *pCoeff++; + twI = *pCoeff++; + + t1a = xBR - xAR ; + t1b = xBI + xAI ; + + // real(tw * (xB - xA)) = twR * (xBR - xAR) - twI * (xBI - xAI); + // imag(tw * (xB - xA)) = twI * (xBR - xAR) + twR * (xBI - xAI); + p0 = twR * t1a; + p1 = twI * t1a; + p2 = twR * t1b; + p3 = twI * t1b; + + *pOut++ = 0.5f * (xAR + xBR + p0 + p3 ); //xAR + *pOut++ = 0.5f * (xAI - xBI + p1 - p2 ); //xAI + + pA += 2; + pB -= 2; + k--; + } while (k > 0U); +} + +/* Prepares data for inverse cfft */ +void merge_rfft_f32( +arm_rfft_fast_instance_f32 * S, +float32_t * p, float32_t * pOut) +{ + uint32_t k; /* Loop Counter */ + float32_t twR, twI; /* RFFT Twiddle coefficients */ + float32_t *pCoeff = S->pTwiddleRFFT; /* Points to RFFT Twiddle factors */ + float32_t *pA = p; /* increasing pointer */ + float32_t *pB = p; /* decreasing pointer */ + float32_t xAR, xAI, xBR, xBI; /* temporary variables */ + float32_t t1a, t1b, r, s, t, u; /* temporary variables */ + + k = (S->Sint).fftLen - 1; + + xAR = pA[0]; + xAI = pA[1]; + + pCoeff += 2 ; + + *pOut++ = 0.5f * ( xAR + xAI ); + *pOut++ = 0.5f * ( xAR - xAI ); + + pB = p + 2*k ; + pA += 2 ; + + while (k > 0U) + { + /* G is half of the frequency complex spectrum */ + //for k = 2:N + // Xk(k) = 1/2 * (G(k) + conj(G(N-k+2)) + Tw(k)*( G(k) - conj(G(N-k+2)))); + xBI = pB[1] ; + xBR = pB[0] ; + xAR = pA[0]; + xAI = pA[1]; + + twR = *pCoeff++; + twI = *pCoeff++; + + t1a = xAR - xBR ; + t1b = xAI + xBI ; + + r = twR * t1a; + s = twI * t1b; + t = twI * t1a; + u = twR * t1b; + + // real(tw * (xA - xB)) = twR * (xAR - xBR) - twI * (xAI - xBI); + // imag(tw * (xA - xB)) = twI * (xAR - xBR) + twR * (xAI - xBI); + *pOut++ = 0.5f * (xAR + xBR - r - s ); //xAR + *pOut++ = 0.5f * (xAI - xBI + t - u ); //xAI + + pA += 2; + pB -= 2; + k--; + } + +} + +/** +* @ingroup groupTransforms +*/ + +/** + * @defgroup RealFFT Real FFT Functions + * + * \par + * The CMSIS DSP library includes specialized algorithms for computing the + * FFT of real data sequences. The FFT is defined over complex data but + * in many applications the input is real. Real FFT algorithms take advantage + * of the symmetry properties of the FFT and have a speed advantage over complex + * algorithms of the same length. + * \par + * The Fast RFFT algorith relays on the mixed radix CFFT that save processor usage. + * \par + * The real length N forward FFT of a sequence is computed using the steps shown below. + * \par + * \image html RFFT.gif "Real Fast Fourier Transform" + * \par + * The real sequence is initially treated as if it were complex to perform a CFFT. + * Later, a processing stage reshapes the data to obtain half of the frequency spectrum + * in complex format. Except the first complex number that contains the two real numbers + * X[0] and X[N/2] all the data is complex. In other words, the first complex sample + * contains two real values packed. + * \par + * The input for the inverse RFFT should keep the same format as the output of the + * forward RFFT. A first processing stage pre-process the data to later perform an + * inverse CFFT. + * \par + * \image html RIFFT.gif "Real Inverse Fast Fourier Transform" + * \par + * The algorithms for floating-point, Q15, and Q31 data are slightly different + * and we describe each algorithm in turn. + * \par Floating-point + * The main functions are arm_rfft_fast_f32() and arm_rfft_fast_init_f32(). + * The older functions arm_rfft_f32() and arm_rfft_init_f32() have been + * deprecated but are still documented. + * \par + * The FFT of a real N-point sequence has even symmetry in the frequency + * domain. The second half of the data equals the conjugate of the first + * half flipped in frequency. Looking at the data, we see that we can + * uniquely represent the FFT using only N/2 complex numbers. These are + * packed into the output array in alternating real and imaginary + * components: + * \par + * X = { real[0], imag[0], real[1], imag[1], real[2], imag[2] ... + * real[(N/2)-1], imag[(N/2)-1 } + * \par + * It happens that the first complex number (real[0], imag[0]) is actually + * all real. real[0] represents the DC offset, and imag[0] should be 0. + * (real[1], imag[1]) is the fundamental frequency, (real[2], imag[2]) is + * the first harmonic and so on. + * \par + * The real FFT functions pack the frequency domain data in this fashion. + * The forward transform outputs the data in this form and the inverse + * transform expects input data in this form. The function always performs + * the needed bitreversal so that the input and output data is always in + * normal order. The functions support lengths of [32, 64, 128, ..., 4096] + * samples. + * \par Q15 and Q31 + * The real algorithms are defined in a similar manner and utilize N/2 complex + * transforms behind the scenes. + * \par + * The complex transforms used internally include scaling to prevent fixed-point + * overflows. The overall scaling equals 1/(fftLen/2). + * \par + * A separate instance structure must be defined for each transform used but + * twiddle factor and bit reversal tables can be reused. + * \par + * There is also an associated initialization function for each data type. + * The initialization function performs the following operations: + * - Sets the values of the internal structure fields. + * - Initializes twiddle factor table and bit reversal table pointers. + * - Initializes the internal complex FFT data structure. + * \par + * Use of the initialization function is optional. + * However, if the initialization function is used, then the instance structure + * cannot be placed into a const data section. To place an instance structure + * into a const data section, the instance structure should be manually + * initialized as follows: + *
+ *arm_rfft_instance_q31 S = {fftLenReal, fftLenBy2, ifftFlagR, bitReverseFlagR, twidCoefRModifier, pTwiddleAReal, pTwiddleBReal, pCfft};
+ *arm_rfft_instance_q15 S = {fftLenReal, fftLenBy2, ifftFlagR, bitReverseFlagR, twidCoefRModifier, pTwiddleAReal, pTwiddleBReal, pCfft};
+ * 
+ * where fftLenReal is the length of the real transform; + * fftLenBy2 length of the internal complex transform. + * ifftFlagR Selects forward (=0) or inverse (=1) transform. + * bitReverseFlagR Selects bit reversed output (=0) or normal order + * output (=1). + * twidCoefRModifier stride modifier for the twiddle factor table. + * The value is based on the FFT length; + * pTwiddleARealpoints to the A array of twiddle coefficients; + * pTwiddleBRealpoints to the B array of twiddle coefficients; + * pCfft points to the CFFT Instance structure. The CFFT structure + * must also be initialized. Refer to arm_cfft_radix4_f32() for details regarding + * static initialization of the complex FFT instance structure. + */ + +/** +* @addtogroup RealFFT +* @{ +*/ + +/** +* @brief Processing function for the floating-point real FFT. +* @param[in] *S points to an arm_rfft_fast_instance_f32 structure. +* @param[in] *p points to the input buffer. +* @param[in] *pOut points to the output buffer. +* @param[in] ifftFlag RFFT if flag is 0, RIFFT if flag is 1 +* @return none. +*/ + +void arm_rfft_fast_f32( +arm_rfft_fast_instance_f32 * S, +float32_t * p, float32_t * pOut, +uint8_t ifftFlag) +{ + arm_cfft_instance_f32 * Sint = &(S->Sint); + Sint->fftLen = S->fftLenRFFT / 2; + + /* Calculation of Real FFT */ + if (ifftFlag) + { + /* Real FFT compression */ + merge_rfft_f32(S, p, pOut); + + /* Complex radix-4 IFFT process */ + arm_cfft_f32( Sint, pOut, ifftFlag, 1); + } + else + { + /* Calculation of RFFT of input */ + arm_cfft_f32( Sint, p, ifftFlag, 1); + + /* Real FFT extraction */ + stage_rfft_f32(S, p, pOut); + } +} + +/** +* @} end of RealFFT group +*/ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_rfft_fast_init_f32.c b/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_rfft_fast_init_f32.c new file mode 100644 index 0000000..6f6c2f9 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_rfft_fast_init_f32.c @@ -0,0 +1,131 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_cfft_init_f32.c + * Description: Split Radix Decimation in Frequency CFFT Floating point processing function + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include "arm_common_tables.h" + +/** + * @ingroup groupTransforms + */ + +/** + * @addtogroup RealFFT + * @{ + */ + +/** +* @brief Initialization function for the floating-point real FFT. +* @param[in,out] *S points to an arm_rfft_fast_instance_f32 structure. +* @param[in] fftLen length of the Real Sequence. +* @return The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if fftLen is not a supported value. +* +* \par Description: +* \par +* The parameter fftLen Specifies length of RFFT/CIFFT process. Supported FFT Lengths are 32, 64, 128, 256, 512, 1024, 2048, 4096. +* \par +* This Function also initializes Twiddle factor table pointer and Bit reversal table pointer. +*/ +arm_status arm_rfft_fast_init_f32( + arm_rfft_fast_instance_f32 * S, + uint16_t fftLen) +{ + arm_cfft_instance_f32 * Sint; + /* Initialise the default arm status */ + arm_status status = ARM_MATH_SUCCESS; + /* Initialise the FFT length */ + Sint = &(S->Sint); + Sint->fftLen = fftLen/2; + S->fftLenRFFT = fftLen; + + /* Initializations of structure parameters depending on the FFT length */ + switch (Sint->fftLen) + { + case 2048U: + /* Initializations of structure parameters for 2048 point FFT */ + /* Initialise the bit reversal table length */ + Sint->bitRevLength = ARMBITREVINDEXTABLE_2048_TABLE_LENGTH; + /* Initialise the bit reversal table pointer */ + Sint->pBitRevTable = (uint16_t *)armBitRevIndexTable2048; + /* Initialise the Twiddle coefficient pointers */ + Sint->pTwiddle = (float32_t *) twiddleCoef_2048; + S->pTwiddleRFFT = (float32_t *) twiddleCoef_rfft_4096; + break; + case 1024U: + Sint->bitRevLength = ARMBITREVINDEXTABLE_1024_TABLE_LENGTH; + Sint->pBitRevTable = (uint16_t *)armBitRevIndexTable1024; + Sint->pTwiddle = (float32_t *) twiddleCoef_1024; + S->pTwiddleRFFT = (float32_t *) twiddleCoef_rfft_2048; + break; + case 512U: + Sint->bitRevLength = ARMBITREVINDEXTABLE_512_TABLE_LENGTH; + Sint->pBitRevTable = (uint16_t *)armBitRevIndexTable512; + Sint->pTwiddle = (float32_t *) twiddleCoef_512; + S->pTwiddleRFFT = (float32_t *) twiddleCoef_rfft_1024; + break; + case 256U: + Sint->bitRevLength = ARMBITREVINDEXTABLE_256_TABLE_LENGTH; + Sint->pBitRevTable = (uint16_t *)armBitRevIndexTable256; + Sint->pTwiddle = (float32_t *) twiddleCoef_256; + S->pTwiddleRFFT = (float32_t *) twiddleCoef_rfft_512; + break; + case 128U: + Sint->bitRevLength = ARMBITREVINDEXTABLE_128_TABLE_LENGTH; + Sint->pBitRevTable = (uint16_t *)armBitRevIndexTable128; + Sint->pTwiddle = (float32_t *) twiddleCoef_128; + S->pTwiddleRFFT = (float32_t *) twiddleCoef_rfft_256; + break; + case 64U: + Sint->bitRevLength = ARMBITREVINDEXTABLE_64_TABLE_LENGTH; + Sint->pBitRevTable = (uint16_t *)armBitRevIndexTable64; + Sint->pTwiddle = (float32_t *) twiddleCoef_64; + S->pTwiddleRFFT = (float32_t *) twiddleCoef_rfft_128; + break; + case 32U: + Sint->bitRevLength = ARMBITREVINDEXTABLE_32_TABLE_LENGTH; + Sint->pBitRevTable = (uint16_t *)armBitRevIndexTable32; + Sint->pTwiddle = (float32_t *) twiddleCoef_32; + S->pTwiddleRFFT = (float32_t *) twiddleCoef_rfft_64; + break; + case 16U: + Sint->bitRevLength = ARMBITREVINDEXTABLE_16_TABLE_LENGTH; + Sint->pBitRevTable = (uint16_t *)armBitRevIndexTable16; + Sint->pTwiddle = (float32_t *) twiddleCoef_16; + S->pTwiddleRFFT = (float32_t *) twiddleCoef_rfft_32; + break; + default: + /* Reporting argument error if fftSize is not valid value */ + status = ARM_MATH_ARGUMENT_ERROR; + break; + } + + return (status); +} + +/** + * @} end of RealFFT group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_rfft_init_f32.c b/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_rfft_init_f32.c new file mode 100644 index 0000000..fd02e41 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_rfft_init_f32.c @@ -0,0 +1,4273 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_rfft_init_f32.c + * Description: RFFT & RIFFT Floating point initialisation function + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/** + * @ingroup RealFFT + */ + +/** + * @addtogroup RealFFT_Table Real FFT Tables + * @{ + */ + +/** +* \par +* Generation of realCoefA array: +* \par +* n = 4096 +*
for (i = 0; i < n; i++)
+*  {
+*    pATable[2 * i] = 0.5 * (1.0 - sin (2 * PI / (double) (2 * n) * (double) i));
+*    pATable[2 * i + 1] = 0.5 * (-1.0 * cos (2 * PI / (double) (2 * n) * (double) i));
+*  } 
+*/ +static const float32_t realCoefA[8192] = { + 0.500000000000000f, -0.500000000000000f, 0.499616503715515f, -0.499999850988388f, + 0.499233007431030f, -0.499999403953552f, 0.498849511146545f, -0.499998688697815f, + 0.498466014862061f, -0.499997645616531f, 0.498082518577576f, -0.499996334314346f, + 0.497699022293091f, -0.499994695186615f, 0.497315555810928f, -0.499992787837982f, + 0.496932059526443f, -0.499990582466125f, 0.496548563241959f, -0.499988079071045f, + 0.496165096759796f, -0.499985307455063f, 0.495781600475311f, -0.499982208013535f, + 0.495398133993149f, -0.499978810548782f, 0.495014637708664f, -0.499975144863129f, + 0.494631171226501f, -0.499971181154251f, 0.494247704744339f, -0.499966919422150f, + 0.493864238262177f, -0.499962359666824f, 0.493480771780014f, -0.499957501888275f, + 0.493097305297852f, -0.499952346086502f, 0.492713838815689f, -0.499946922063828f, + 0.492330402135849f, -0.499941170215607f, 0.491946935653687f, -0.499935150146484f, + 0.491563498973846f, -0.499928832054138f, 0.491180062294006f, -0.499922215938568f, + 0.490796625614166f, -0.499915301799774f, 0.490413218736649f, -0.499908089637756f, + 0.490029782056808f, -0.499900579452515f, 0.489646375179291f, -0.499892801046371f, + 0.489262968301773f, -0.499884694814682f, 0.488879561424255f, -0.499876320362091f, + 0.488496154546738f, -0.499867647886276f, 0.488112777471542f, -0.499858677387238f, + 0.487729400396347f, -0.499849408864975f, 0.487346023321152f, -0.499839842319489f, + 0.486962646245956f, -0.499830007553101f, 0.486579269170761f, -0.499819844961166f, + 0.486195921897888f, -0.499809414148331f, 0.485812574625015f, -0.499798685312271f, + 0.485429257154465f, -0.499787658452988f, 0.485045909881592f, -0.499776333570480f, + 0.484662592411041f, -0.499764710664749f, 0.484279274940491f, -0.499752789735794f, + 0.483895987272263f, -0.499740600585938f, 0.483512699604034f, -0.499728083610535f, + 0.483129411935806f, -0.499715298414230f, 0.482746154069901f, -0.499702215194702f, + 0.482362866401672f, -0.499688833951950f, 0.481979638338089f, -0.499675154685974f, + 0.481596380472183f, -0.499661177396774f, 0.481213152408600f, -0.499646931886673f, + 0.480829954147339f, -0.499632388353348f, 0.480446726083755f, -0.499617516994476f, + 0.480063527822495f, -0.499602377414703f, 0.479680359363556f, -0.499586939811707f, + 0.479297190904617f, -0.499571204185486f, 0.478914022445679f, -0.499555170536041f, + 0.478530883789063f, -0.499538868665695f, 0.478147745132446f, -0.499522238969803f, + 0.477764606475830f, -0.499505341053009f, 0.477381497621536f, -0.499488145112991f, + 0.476998418569565f, -0.499470651149750f, 0.476615339517593f, -0.499452859163284f, + 0.476232260465622f, -0.499434769153595f, 0.475849211215973f, -0.499416410923004f, + 0.475466161966324f, -0.499397724866867f, 0.475083142518997f, -0.499378770589828f, + 0.474700123071671f, -0.499359518289566f, 0.474317133426666f, -0.499339967966080f, + 0.473934143781662f, -0.499320119619370f, 0.473551183938980f, -0.499299973249435f, + 0.473168224096298f, -0.499279528856277f, 0.472785294055939f, -0.499258816242218f, + 0.472402364015579f, -0.499237775802612f, 0.472019463777542f, -0.499216467142105f, + 0.471636593341827f, -0.499194860458374f, 0.471253722906113f, -0.499172955751419f, + 0.470870882272720f, -0.499150782823563f, 0.470488041639328f, -0.499128282070160f, + 0.470105201005936f, -0.499105513095856f, 0.469722419977188f, -0.499082416296005f, + 0.469339638948441f, -0.499059051275253f, 0.468956857919693f, -0.499035388231277f, + 0.468574106693268f, -0.499011427164078f, 0.468191385269165f, -0.498987197875977f, + 0.467808693647385f, -0.498962640762329f, 0.467426002025604f, -0.498937815427780f, + 0.467043310403824f, -0.498912662267685f, 0.466660678386688f, -0.498887240886688f, + 0.466278046369553f, -0.498861521482468f, 0.465895414352417f, -0.498835533857346f, + 0.465512841939926f, -0.498809218406677f, 0.465130269527435f, -0.498782604932785f, + 0.464747726917267f, -0.498755723237991f, 0.464365184307098f, -0.498728543519974f, + 0.463982671499252f, -0.498701065778732f, 0.463600188493729f, -0.498673290014267f, + 0.463217705488205f, -0.498645216226578f, 0.462835282087326f, -0.498616874217987f, + 0.462452858686447f, -0.498588204383850f, 0.462070435285568f, -0.498559266328812f, + 0.461688071489334f, -0.498530030250549f, 0.461305707693100f, -0.498500496149063f, + 0.460923373699188f, -0.498470664024353f, 0.460541069507599f, -0.498440563678741f, + 0.460158795118332f, -0.498410135507584f, 0.459776520729065f, -0.498379439115524f, + 0.459394276142120f, -0.498348444700241f, 0.459012061357498f, -0.498317152261734f, + 0.458629876375198f, -0.498285561800003f, 0.458247691392899f, -0.498253703117371f, + 0.457865566015244f, -0.498221516609192f, 0.457483440637589f, -0.498189061880112f, + 0.457101345062256f, -0.498156309127808f, 0.456719279289246f, -0.498123258352280f, + 0.456337243318558f, -0.498089909553528f, 0.455955207347870f, -0.498056292533875f, + 0.455573230981827f, -0.498022347688675f, 0.455191254615784f, -0.497988134622574f, + 0.454809308052063f, -0.497953623533249f, 0.454427421092987f, -0.497918814420700f, + 0.454045534133911f, -0.497883707284927f, 0.453663676977158f, -0.497848302125931f, + 0.453281819820404f, -0.497812628746033f, 0.452900022268295f, -0.497776657342911f, + 0.452518254518509f, -0.497740387916565f, 0.452136516571045f, -0.497703820466995f, + 0.451754778623581f, -0.497666954994202f, 0.451373100280762f, -0.497629791498184f, + 0.450991421937943f, -0.497592359781265f, 0.450609803199768f, -0.497554630041122f, + 0.450228184461594f, -0.497516602277756f, 0.449846625328064f, -0.497478276491165f, + 0.449465066194534f, -0.497439652681351f, 0.449083566665649f, -0.497400760650635f, + 0.448702067136765f, -0.497361570596695f, 0.448320597410202f, -0.497322082519531f, + 0.447939187288284f, -0.497282296419144f, 0.447557777166367f, -0.497242212295532f, + 0.447176426649094f, -0.497201830148697f, 0.446795076131821f, -0.497161179780960f, + 0.446413785219193f, -0.497120231389999f, 0.446032524108887f, -0.497078984975815f, + 0.445651292800903f, -0.497037440538406f, 0.445270061492920f, -0.496995598077774f, + 0.444888889789581f, -0.496953487396240f, 0.444507747888565f, -0.496911078691483f, + 0.444126635789871f, -0.496868371963501f, 0.443745553493500f, -0.496825367212296f, + 0.443364530801773f, -0.496782064437866f, 0.442983508110046f, -0.496738493442535f, + 0.442602545022964f, -0.496694594621658f, 0.442221581935883f, -0.496650427579880f, + 0.441840678453445f, -0.496605962514877f, 0.441459804773331f, -0.496561229228973f, + 0.441078960895538f, -0.496516168117523f, 0.440698176622391f, -0.496470838785172f, + 0.440317392349243f, -0.496425211429596f, 0.439936667680740f, -0.496379286050797f, + 0.439555943012238f, -0.496333062648773f, 0.439175277948380f, -0.496286571025848f, + 0.438794672489166f, -0.496239781379700f, 0.438414067029953f, -0.496192663908005f, + 0.438033521175385f, -0.496145308017731f, 0.437653005123138f, -0.496097624301910f, + 0.437272518873215f, -0.496049642562866f, 0.436892062425613f, -0.496001392602921f, + 0.436511665582657f, -0.495952844619751f, 0.436131268739700f, -0.495903998613358f, + 0.435750931501389f, -0.495854884386063f, 0.435370653867722f, -0.495805442333221f, + 0.434990376234055f, -0.495755732059479f, 0.434610158205032f, -0.495705723762512f, + 0.434229999780655f, -0.495655417442322f, 0.433849841356277f, -0.495604842901230f, + 0.433469742536545f, -0.495553970336914f, 0.433089673519135f, -0.495502769947052f, + 0.432709634304047f, -0.495451331138611f, 0.432329654693604f, -0.495399564504623f, + 0.431949704885483f, -0.495347499847412f, 0.431569814682007f, -0.495295166969299f, + 0.431189924478531f, -0.495242536067963f, 0.430810123682022f, -0.495189607143402f, + 0.430430322885513f, -0.495136409997940f, 0.430050581693649f, -0.495082914829254f, + 0.429670870304108f, -0.495029091835022f, 0.429291218519211f, -0.494975030422211f, + 0.428911596536636f, -0.494920641183853f, 0.428532034158707f, -0.494865983724594f, + 0.428152471780777f, -0.494810998439789f, 0.427772998809814f, -0.494755744934082f, + 0.427393525838852f, -0.494700223207474f, 0.427014142274857f, -0.494644373655319f, + 0.426634758710861f, -0.494588255882263f, 0.426255434751511f, -0.494531840085983f, + 0.425876170396805f, -0.494475126266479f, 0.425496935844421f, -0.494418144226074f, + 0.425117731094360f, -0.494360834360123f, 0.424738585948944f, -0.494303256273270f, + 0.424359470605850f, -0.494245409965515f, 0.423980414867401f, -0.494187235832214f, + 0.423601418733597f, -0.494128793478012f, 0.423222452402115f, -0.494070053100586f, + 0.422843515872955f, -0.494011014699936f, 0.422464638948441f, -0.493951678276062f, + 0.422085791826248f, -0.493892073631287f, 0.421707004308701f, -0.493832170963287f, + 0.421328276395798f, -0.493771970272064f, 0.420949578285217f, -0.493711471557617f, + 0.420570939779282f, -0.493650704622269f, 0.420192331075668f, -0.493589639663696f, + 0.419813781976700f, -0.493528276681900f, 0.419435262680054f, -0.493466645479202f, + 0.419056802988052f, -0.493404686450958f, 0.418678402900696f, -0.493342459201813f, + 0.418300032615662f, -0.493279963731766f, 0.417921721935272f, -0.493217140436172f, + 0.417543441057205f, -0.493154048919678f, 0.417165219783783f, -0.493090659379959f, + 0.416787058115005f, -0.493026971817017f, 0.416408926248550f, -0.492963016033173f, + 0.416030853986740f, -0.492898762226105f, 0.415652841329575f, -0.492834210395813f, + 0.415274858474731f, -0.492769360542297f, 0.414896935224533f, -0.492704242467880f, + 0.414519041776657f, -0.492638826370239f, 0.414141237735748f, -0.492573112249374f, + 0.413763463497162f, -0.492507129907608f, 0.413385748863220f, -0.492440819740295f, + 0.413008064031601f, -0.492374241352081f, 0.412630438804626f, -0.492307394742966f, + 0.412252873182297f, -0.492240220308304f, 0.411875367164612f, -0.492172777652740f, + 0.411497890949249f, -0.492105036973953f, 0.411120474338531f, -0.492037028074265f, + 0.410743117332459f, -0.491968721151352f, 0.410365819931030f, -0.491900116205215f, + 0.409988552331924f, -0.491831213235855f, 0.409611344337463f, -0.491762012243271f, + 0.409234195947647f, -0.491692543029785f, 0.408857107162476f, -0.491622805595398f, + 0.408480048179626f, -0.491552740335464f, 0.408103078603745f, -0.491482406854630f, + 0.407726138830185f, -0.491411775350571f, 0.407349258661270f, -0.491340845823288f, + 0.406972438097000f, -0.491269648075104f, 0.406595647335052f, -0.491198152303696f, + 0.406218945980072f, -0.491126358509064f, 0.405842274427414f, -0.491054296493530f, + 0.405465662479401f, -0.490981936454773f, 0.405089110136032f, -0.490909278392792f, + 0.404712617397308f, -0.490836352109909f, 0.404336184263229f, -0.490763127803802f, + 0.403959810733795f, -0.490689605474472f, 0.403583467006683f, -0.490615785121918f, + 0.403207212686539f, -0.490541696548462f, 0.402830988168716f, -0.490467309951782f, + 0.402454853057861f, -0.490392625331879f, 0.402078747749329f, -0.490317672491074f, + 0.401702702045441f, -0.490242421627045f, 0.401326715946198f, -0.490166902542114f, + 0.400950789451599f, -0.490091055631638f, 0.400574922561646f, -0.490014940500259f, + 0.400199115276337f, -0.489938557147980f, 0.399823367595673f, -0.489861875772476f, + 0.399447679519653f, -0.489784896373749f, 0.399072051048279f, -0.489707618951797f, + 0.398696482181549f, -0.489630073308945f, 0.398320972919464f, -0.489552229642868f, + 0.397945523262024f, -0.489474087953568f, 0.397570133209229f, -0.489395678043365f, + 0.397194802761078f, -0.489316970109940f, 0.396819531917572f, -0.489237964153290f, + 0.396444320678711f, -0.489158689975739f, 0.396069169044495f, -0.489079117774963f, + 0.395694077014923f, -0.488999247550964f, 0.395319044589996f, -0.488919109106064f, + 0.394944071769714f, -0.488838672637939f, 0.394569188356400f, -0.488757967948914f, + 0.394194334745407f, -0.488676935434341f, 0.393819570541382f, -0.488595664501190f, + 0.393444836139679f, -0.488514065742493f, 0.393070191144943f, -0.488432198762894f, + 0.392695605754852f, -0.488350033760071f, 0.392321079969406f, -0.488267600536346f, + 0.391946613788605f, -0.488184869289398f, 0.391572207212448f, -0.488101840019226f, + 0.391197860240936f, -0.488018542528152f, 0.390823602676392f, -0.487934947013855f, + 0.390449374914169f, -0.487851053476334f, 0.390075236558914f, -0.487766891717911f, + 0.389701157808304f, -0.487682431936264f, 0.389327138662338f, -0.487597703933716f, + 0.388953179121017f, -0.487512677907944f, 0.388579308986664f, -0.487427353858948f, + 0.388205498456955f, -0.487341761589050f, 0.387831717729568f, -0.487255871295929f, + 0.387458056211472f, -0.487169682979584f, 0.387084424495697f, -0.487083226442337f, + 0.386710882186890f, -0.486996471881866f, 0.386337369680405f, -0.486909449100494f, + 0.385963946580887f, -0.486822128295898f, 0.385590612888336f, -0.486734509468079f, + 0.385217308998108f, -0.486646622419357f, 0.384844094514847f, -0.486558437347412f, + 0.384470939636230f, -0.486469984054565f, 0.384097874164581f, -0.486381232738495f, + 0.383724838495255f, -0.486292183399200f, 0.383351892232895f, -0.486202865839005f, + 0.382979035377502f, -0.486113250255585f, 0.382606208324432f, -0.486023366451263f, + 0.382233470678329f, -0.485933154821396f, 0.381860792636871f, -0.485842704772949f, + 0.381488204002380f, -0.485751956701279f, 0.381115674972534f, -0.485660910606384f, + 0.380743205547333f, -0.485569566488266f, 0.380370795726776f, -0.485477954149246f, + 0.379998475313187f, -0.485386073589325f, 0.379626244306564f, -0.485293895006180f, + 0.379254043102264f, -0.485201418399811f, 0.378881961107254f, -0.485108673572540f, + 0.378509908914566f, -0.485015630722046f, 0.378137946128845f, -0.484922289848328f, + 0.377766042947769f, -0.484828680753708f, 0.377394229173660f, -0.484734803438187f, + 0.377022475004196f, -0.484640628099442f, 0.376650810241699f, -0.484546154737473f, + 0.376279205083847f, -0.484451413154602f, 0.375907659530640f, -0.484356373548508f, + 0.375536203384399f, -0.484261035919189f, 0.375164806842804f, -0.484165430068970f, + 0.374793499708176f, -0.484069555997849f, 0.374422252178192f, -0.483973383903503f, + 0.374051094055176f, -0.483876913785934f, 0.373679995536804f, -0.483780175447464f, + 0.373308986425400f, -0.483683139085770f, 0.372938036918640f, -0.483585834503174f, + 0.372567176818848f, -0.483488231897354f, 0.372196376323700f, -0.483390361070633f, + 0.371825665235519f, -0.483292192220688f, 0.371455013751984f, -0.483193725347519f, + 0.371084451675415f, -0.483094990253448f, 0.370713949203491f, -0.482995986938477f, + 0.370343536138535f, -0.482896685600281f, 0.369973212480545f, -0.482797086238861f, + 0.369602948427200f, -0.482697218656540f, 0.369232743978500f, -0.482597053050995f, + 0.368862658739090f, -0.482496619224548f, 0.368492603302002f, -0.482395917177200f, + 0.368122667074203f, -0.482294887304306f, 0.367752790451050f, -0.482193619012833f, + 0.367382973432541f, -0.482092022895813f, 0.367013275623322f, -0.481990188360214f, + 0.366643607616425f, -0.481888025999069f, 0.366274058818817f, -0.481785595417023f, + 0.365904569625854f, -0.481682896614075f, 0.365535169839859f, -0.481579899787903f, + 0.365165829658508f, -0.481476634740829f, 0.364796578884125f, -0.481373071670532f, + 0.364427417516708f, -0.481269240379334f, 0.364058345556259f, -0.481165111064911f, + 0.363689333200455f, -0.481060713529587f, 0.363320380449295f, -0.480956017971039f, + 0.362951546907425f, -0.480851024389267f, 0.362582772970200f, -0.480745792388916f, + 0.362214088439941f, -0.480640232563019f, 0.361845493316650f, -0.480534434318542f, + 0.361476957798004f, -0.480428308248520f, 0.361108511686325f, -0.480321943759918f, + 0.360740154981613f, -0.480215251445770f, 0.360371887683868f, -0.480108320713043f, + 0.360003679990768f, -0.480001062154770f, 0.359635561704636f, -0.479893565177917f, + 0.359267532825470f, -0.479785770177841f, 0.358899593353271f, -0.479677677154541f, + 0.358531713485718f, -0.479569315910339f, 0.358163923025131f, -0.479460656642914f, + 0.357796221971512f, -0.479351729154587f, 0.357428610324860f, -0.479242533445358f, + 0.357061088085175f, -0.479133039712906f, 0.356693625450134f, -0.479023247957230f, + 0.356326282024384f, -0.478913217782974f, 0.355958998203278f, -0.478802859783173f, + 0.355591803789139f, -0.478692263364792f, 0.355224698781967f, -0.478581339120865f, + 0.354857653379440f, -0.478470176458359f, 0.354490727186203f, -0.478358715772629f, + 0.354123860597610f, -0.478246957063675f, 0.353757113218308f, -0.478134930133820f, + 0.353390425443649f, -0.478022634983063f, 0.353023827075958f, -0.477910041809082f, + 0.352657318115234f, -0.477797180414200f, 0.352290898561478f, -0.477684020996094f, + 0.351924568414688f, -0.477570593357086f, 0.351558297872543f, -0.477456867694855f, + 0.351192146539688f, -0.477342873811722f, 0.350826084613800f, -0.477228611707687f, + 0.350460082292557f, -0.477114051580429f, 0.350094199180603f, -0.476999223232269f, + 0.349728375673294f, -0.476884096860886f, 0.349362671375275f, -0.476768702268600f, + 0.348997026681900f, -0.476653009653091f, 0.348631471395493f, -0.476537048816681f, + 0.348266035318375f, -0.476420819759369f, 0.347900658845901f, -0.476304292678833f, + 0.347535371780396f, -0.476187497377396f, 0.347170203924179f, -0.476070433855057f, + 0.346805095672607f, -0.475953072309494f, 0.346440106630325f, -0.475835442543030f, + 0.346075177192688f, -0.475717514753342f, 0.345710366964340f, -0.475599318742752f, + 0.345345616340637f, -0.475480824708939f, 0.344980984926224f, -0.475362062454224f, + 0.344616413116455f, -0.475243031978607f, 0.344251960515976f, -0.475123733282089f, + 0.343887597322464f, -0.475004136562347f, 0.343523323535919f, -0.474884241819382f, + 0.343159139156342f, -0.474764078855515f, 0.342795044183731f, -0.474643647670746f, + 0.342431038618088f, -0.474522948265076f, 0.342067122459412f, -0.474401950836182f, + 0.341703325510025f, -0.474280685186386f, 0.341339588165283f, -0.474159121513367f, + 0.340975970029831f, -0.474037289619446f, 0.340612411499023f, -0.473915189504623f, + 0.340248972177505f, -0.473792791366577f, 0.339885622262955f, -0.473670125007629f, + 0.339522391557693f, -0.473547190427780f, 0.339159220457077f, -0.473423957824707f, + 0.338796168565750f, -0.473300457000732f, 0.338433176279068f, -0.473176687955856f, + 0.338070303201675f, -0.473052620887756f, 0.337707549333572f, -0.472928285598755f, + 0.337344855070114f, -0.472803652286530f, 0.336982280015945f, -0.472678780555725f, + 0.336619764566422f, -0.472553610801697f, 0.336257368326187f, -0.472428143024445f, + 0.335895091295242f, -0.472302407026291f, 0.335532873868942f, -0.472176402807236f, + 0.335170775651932f, -0.472050130367279f, 0.334808766841888f, -0.471923559904099f, + 0.334446847438812f, -0.471796721220016f, 0.334085017442703f, -0.471669614315033f, + 0.333723306655884f, -0.471542209386826f, 0.333361685276031f, -0.471414536237717f, + 0.333000183105469f, -0.471286594867706f, 0.332638740539551f, -0.471158385276794f, + 0.332277417182922f, -0.471029877662659f, 0.331916213035584f, -0.470901101827621f, + 0.331555068492889f, -0.470772027969360f, 0.331194043159485f, -0.470642685890198f, + 0.330833107233047f, -0.470513075590134f, 0.330472290515900f, -0.470383197069168f, + 0.330111563205719f, -0.470253020524979f, 0.329750925302505f, -0.470122605562210f, + 0.329390406608582f, -0.469991862773895f, 0.329029977321625f, -0.469860881567001f, + 0.328669637441635f, -0.469729602336884f, 0.328309416770935f, -0.469598054885864f, + 0.327949285507202f, -0.469466239213943f, 0.327589273452759f, -0.469334155321121f, + 0.327229350805283f, -0.469201773405075f, 0.326869517564774f, -0.469069123268127f, + 0.326509803533554f, -0.468936175107956f, 0.326150178909302f, -0.468802988529205f, + 0.325790673494339f, -0.468669503927231f, 0.325431257486343f, -0.468535751104355f, + 0.325071930885315f, -0.468401730060577f, 0.324712723493576f, -0.468267410993576f, + 0.324353635311127f, -0.468132823705673f, 0.323994606733322f, -0.467997968196869f, + 0.323635727167130f, -0.467862844467163f, 0.323276937007904f, -0.467727422714233f, + 0.322918236255646f, -0.467591762542725f, 0.322559654712677f, -0.467455804347992f, + 0.322201162576675f, -0.467319577932358f, 0.321842789649963f, -0.467183053493500f, + 0.321484506130219f, -0.467046260833740f, 0.321126341819763f, -0.466909229755402f, + 0.320768296718597f, -0.466771900653839f, 0.320410341024399f, -0.466634273529053f, + 0.320052474737167f, -0.466496407985687f, 0.319694727659225f, -0.466358244419098f, + 0.319337099790573f, -0.466219812631607f, 0.318979561328888f, -0.466081112623215f, + 0.318622142076492f, -0.465942144393921f, 0.318264812231064f, -0.465802878141403f, + 0.317907601594925f, -0.465663343667984f, 0.317550510168076f, -0.465523540973663f, + 0.317193508148193f, -0.465383470058441f, 0.316836595535278f, -0.465243130922318f, + 0.316479831933975f, -0.465102523565292f, 0.316123157739639f, -0.464961618185043f, + 0.315766572952271f, -0.464820444583893f, 0.315410137176514f, -0.464679002761841f, + 0.315053790807724f, -0.464537292718887f, 0.314697533845901f, -0.464395314455032f, + 0.314341396093369f, -0.464253038167953f, 0.313985377550125f, -0.464110493659973f, + 0.313629478216171f, -0.463967710733414f, 0.313273668289185f, -0.463824629783630f, + 0.312917977571487f, -0.463681250810623f, 0.312562376260757f, -0.463537633419037f, + 0.312206923961639f, -0.463393747806549f, 0.311851561069489f, -0.463249564170837f, + 0.311496287584305f, -0.463105112314224f, 0.311141163110733f, -0.462960392236710f, + 0.310786128044128f, -0.462815403938293f, 0.310431212186813f, -0.462670147418976f, + 0.310076385736465f, -0.462524622678757f, 0.309721708297729f, -0.462378799915314f, + 0.309367120265961f, -0.462232738733292f, 0.309012651443481f, -0.462086379528046f, + 0.308658272027969f, -0.461939752101898f, 0.308304041624069f, -0.461792886257172f, + 0.307949900627136f, -0.461645722389221f, 0.307595878839493f, -0.461498260498047f, + 0.307241976261139f, -0.461350560188293f, 0.306888192892075f, -0.461202591657639f, + 0.306534498929977f, -0.461054325103760f, 0.306180924177170f, -0.460905820131302f, + 0.305827468633652f, -0.460757017135620f, 0.305474132299423f, -0.460607945919037f, + 0.305120915174484f, -0.460458606481552f, 0.304767817258835f, -0.460309028625488f, + 0.304414808750153f, -0.460159152746201f, 0.304061919450760f, -0.460008978843689f, + 0.303709149360657f, -0.459858566522598f, 0.303356528282166f, -0.459707885980606f, + 0.303003966808319f, -0.459556937217712f, 0.302651554346085f, -0.459405690431595f, + 0.302299261093140f, -0.459254205226898f, 0.301947087049484f, -0.459102421998978f, + 0.301595002412796f, -0.458950400352478f, 0.301243066787720f, -0.458798080682755f, + 0.300891220569611f, -0.458645492792130f, 0.300539493560791f, -0.458492636680603f, + 0.300187885761261f, -0.458339542150497f, 0.299836426973343f, -0.458186149597168f, + 0.299485057592392f, -0.458032488822937f, 0.299133807420731f, -0.457878559827805f, + 0.298782676458359f, -0.457724362611771f, 0.298431664705276f, -0.457569897174835f, + 0.298080772161484f, -0.457415163516998f, 0.297729998826981f, -0.457260161638260f, + 0.297379344701767f, -0.457104891538620f, 0.297028809785843f, -0.456949323415756f, + 0.296678394079208f, -0.456793516874313f, 0.296328097581863f, -0.456637442111969f, + 0.295977920293808f, -0.456481099128723f, 0.295627862215042f, -0.456324487924576f, + 0.295277923345566f, -0.456167578697205f, 0.294928103685379f, -0.456010431051254f, + 0.294578403234482f, -0.455853015184402f, 0.294228851795197f, -0.455695331096649f, + 0.293879389762878f, -0.455537378787994f, 0.293530046939850f, -0.455379128456116f, + 0.293180853128433f, -0.455220639705658f, 0.292831748723984f, -0.455061882734299f, + 0.292482793331146f, -0.454902857542038f, 0.292133957147598f, -0.454743564128876f, + 0.291785210371017f, -0.454584002494812f, 0.291436612606049f, -0.454424172639847f, + 0.291088134050369f, -0.454264044761658f, 0.290739774703979f, -0.454103678464890f, + 0.290391564369202f, -0.453943043947220f, 0.290043443441391f, -0.453782171010971f, + 0.289695471525192f, -0.453621000051498f, 0.289347589015961f, -0.453459560871124f, + 0.288999855518341f, -0.453297853469849f, 0.288652241230011f, -0.453135877847672f, + 0.288304775953293f, -0.452973634004593f, 0.287957400083542f, -0.452811151742935f, + 0.287610173225403f, -0.452648371458054f, 0.287263035774231f, -0.452485352754593f, + 0.286916047334671f, -0.452322036027908f, 0.286569178104401f, -0.452158480882645f, + 0.286222457885742f, -0.451994657516479f, 0.285875827074051f, -0.451830536127090f, + 0.285529345273972f, -0.451666176319122f, 0.285182982683182f, -0.451501548290253f, + 0.284836769104004f, -0.451336652040482f, 0.284490644931793f, -0.451171487569809f, + 0.284144669771194f, -0.451006084680557f, 0.283798813819885f, -0.450840383768082f, + 0.283453077077866f, -0.450674414634705f, 0.283107489347458f, -0.450508207082748f, + 0.282762020826340f, -0.450341701507568f, 0.282416671514511f, -0.450174957513809f, + 0.282071471214294f, -0.450007945299149f, 0.281726360321045f, -0.449840664863586f, + 0.281381398439407f, -0.449673116207123f, 0.281036585569382f, -0.449505299329758f, + 0.280691891908646f, -0.449337244033813f, 0.280347317457199f, -0.449168890714645f, + 0.280002862215042f, -0.449000298976898f, 0.279658555984497f, -0.448831409215927f, + 0.279314368963242f, -0.448662281036377f, 0.278970301151276f, -0.448492884635925f, + 0.278626382350922f, -0.448323249816895f, 0.278282582759857f, -0.448153316974640f, + 0.277938932180405f, -0.447983115911484f, 0.277595400810242f, -0.447812676429749f, + 0.277251988649368f, -0.447641968727112f, 0.276908725500107f, -0.447470992803574f, + 0.276565581560135f, -0.447299748659134f, 0.276222556829453f, -0.447128236293793f, + 0.275879681110382f, -0.446956485509872f, 0.275536954402924f, -0.446784436702728f, + 0.275194346904755f, -0.446612149477005f, 0.274851858615875f, -0.446439594030380f, + 0.274509519338608f, -0.446266770362854f, 0.274167299270630f, -0.446093708276749f, + 0.273825198411942f, -0.445920348167419f, 0.273483246564865f, -0.445746749639511f, + 0.273141443729401f, -0.445572882890701f, 0.272799760103226f, -0.445398747920990f, + 0.272458195686340f, -0.445224374532700f, 0.272116780281067f, -0.445049703121185f, + 0.271775513887405f, -0.444874793291092f, 0.271434366703033f, -0.444699615240097f, + 0.271093338727951f, -0.444524168968201f, 0.270752459764481f, -0.444348484277725f, + 0.270411729812622f, -0.444172531366348f, 0.270071119070053f, -0.443996280431747f, + 0.269730657339096f, -0.443819820880890f, 0.269390314817429f, -0.443643063306808f, + 0.269050091505051f, -0.443466067314148f, 0.268710047006607f, -0.443288803100586f, + 0.268370121717453f, -0.443111270666122f, 0.268030315637589f, -0.442933470010757f, + 0.267690658569336f, -0.442755430936813f, 0.267351150512695f, -0.442577123641968f, + 0.267011761665344f, -0.442398548126221f, 0.266672492027283f, -0.442219734191895f, + 0.266333401203156f, -0.442040622234344f, 0.265994429588318f, -0.441861271858215f, + 0.265655577182770f, -0.441681683063507f, 0.265316903591156f, -0.441501796245575f, + 0.264978319406509f, -0.441321671009064f, 0.264639914035797f, -0.441141277551651f, + 0.264301627874374f, -0.440960645675659f, 0.263963490724564f, -0.440779715776443f, + 0.263625472784042f, -0.440598547458649f, 0.263287603855133f, -0.440417140722275f, + 0.262949883937836f, -0.440235435962677f, 0.262612313032150f, -0.440053492784500f, + 0.262274861335754f, -0.439871311187744f, 0.261937558650970f, -0.439688831567764f, + 0.261600375175476f, -0.439506113529205f, 0.261263370513916f, -0.439323127269745f, + 0.260926485061646f, -0.439139902591705f, 0.260589718818665f, -0.438956409692764f, + 0.260253131389618f, -0.438772648572922f, 0.259916663169861f, -0.438588619232178f, + 0.259580343961716f, -0.438404351472855f, 0.259244143962860f, -0.438219845294952f, + 0.258908122777939f, -0.438035041093826f, 0.258572220802307f, -0.437849998474121f, + 0.258236467838287f, -0.437664687633514f, 0.257900834083557f, -0.437479138374329f, + 0.257565379142761f, -0.437293320894241f, 0.257230043411255f, -0.437107264995575f, + 0.256894856691360f, -0.436920911073685f, 0.256559818983078f, -0.436734348535538f, + 0.256224930286407f, -0.436547487974167f, 0.255890160799026f, -0.436360388994217f, + 0.255555540323257f, -0.436173021793365f, 0.255221068859100f, -0.435985416173935f, + 0.254886746406555f, -0.435797542333603f, 0.254552572965622f, -0.435609430074692f, + 0.254218548536301f, -0.435421019792557f, 0.253884643316269f, -0.435232400894165f, + 0.253550916910172f, -0.435043483972549f, 0.253217309713364f, -0.434854328632355f, + 0.252883851528168f, -0.434664934873581f, 0.252550542354584f, -0.434475272893906f, + 0.252217382192612f, -0.434285342693329f, 0.251884341239929f, -0.434095174074173f, + 0.251551479101181f, -0.433904737234116f, 0.251218736171722f, -0.433714061975479f, + 0.250886172056198f, -0.433523118495941f, 0.250553727149963f, -0.433331936597824f, + 0.250221431255341f, -0.433140486478806f, 0.249889299273491f, -0.432948768138886f, + 0.249557301402092f, -0.432756811380386f, 0.249225467443466f, -0.432564586400986f, + 0.248893767595291f, -0.432372123003006f, 0.248562216758728f, -0.432179391384125f, + 0.248230814933777f, -0.431986421346664f, 0.247899547219276f, -0.431793183088303f, + 0.247568443417549f, -0.431599706411362f, 0.247237488627434f, -0.431405961513519f, + 0.246906682848930f, -0.431211978197098f, 0.246576011180878f, -0.431017726659775f, + 0.246245503425598f, -0.430823236703873f, 0.245915144681931f, -0.430628478527069f, + 0.245584934949875f, -0.430433481931686f, 0.245254859328270f, -0.430238217115402f, + 0.244924947619438f, -0.430042684078217f, 0.244595184922218f, -0.429846942424774f, + 0.244265571236610f, -0.429650902748108f, 0.243936106562614f, -0.429454624652863f, + 0.243606805801392f, -0.429258108139038f, 0.243277639150620f, -0.429061323404312f, + 0.242948621511459f, -0.428864300251007f, 0.242619767785072f, -0.428667008876801f, + 0.242291063070297f, -0.428469479084015f, 0.241962507367134f, -0.428271710872650f, + 0.241634100675583f, -0.428073674440384f, 0.241305842995644f, -0.427875369787216f, + 0.240977749228477f, -0.427676826715469f, 0.240649804472923f, -0.427478045225143f, + 0.240322008728981f, -0.427278995513916f, 0.239994361996651f, -0.427079707384110f, + 0.239666879177094f, -0.426880151033401f, 0.239339530467987f, -0.426680356264114f, + 0.239012360572815f, -0.426480293273926f, 0.238685324788094f, -0.426279991865158f, + 0.238358452916145f, -0.426079452037811f, 0.238031730055809f, -0.425878643989563f, + 0.237705156207085f, -0.425677597522736f, 0.237378746271133f, -0.425476282835007f, + 0.237052485346794f, -0.425274729728699f, 0.236726388335228f, -0.425072938203812f, + 0.236400425434113f, -0.424870878458023f, 0.236074641346931f, -0.424668580293655f, + 0.235749006271362f, -0.424466013908386f, 0.235423520207405f, -0.424263238906860f, + 0.235098183155060f, -0.424060165882111f, 0.234773010015488f, -0.423856884241104f, + 0.234448000788689f, -0.423653304576874f, 0.234123140573502f, -0.423449516296387f, + 0.233798429369926f, -0.423245459794998f, 0.233473882079124f, -0.423041164875031f, + 0.233149498701096f, -0.422836631536484f, 0.232825264334679f, -0.422631829977036f, + 0.232501193881035f, -0.422426789999008f, 0.232177272439003f, -0.422221481800079f, + 0.231853514909744f, -0.422015935182571f, 0.231529906392097f, -0.421810150146484f, + 0.231206461787224f, -0.421604126691818f, 0.230883181095123f, -0.421397835016251f, + 0.230560049414635f, -0.421191304922104f, 0.230237081646919f, -0.420984506607056f, + 0.229914262890816f, -0.420777499675751f, 0.229591608047485f, -0.420570224523544f, + 0.229269117116928f, -0.420362681150436f, 0.228946775197983f, -0.420154929161072f, + 0.228624612092972f, -0.419946908950806f, 0.228302597999573f, -0.419738620519638f, + 0.227980732917786f, -0.419530123472214f, 0.227659046649933f, -0.419321358203888f, + 0.227337509393692f, -0.419112354516983f, 0.227016136050224f, -0.418903112411499f, + 0.226694911718369f, -0.418693602085114f, 0.226373866200447f, -0.418483853340149f, + 0.226052969694138f, -0.418273866176605f, 0.225732237100601f, -0.418063640594482f, + 0.225411668419838f, -0.417853146791458f, 0.225091263651848f, -0.417642414569855f, + 0.224771007895470f, -0.417431443929672f, 0.224450930953026f, -0.417220205068588f, + 0.224131003022194f, -0.417008757591248f, 0.223811239004135f, -0.416797041893005f, + 0.223491653800011f, -0.416585087776184f, 0.223172217607498f, -0.416372895240784f, + 0.222852945327759f, -0.416160434484482f, 0.222533836960793f, -0.415947735309601f, + 0.222214877605438f, -0.415734797716141f, 0.221896097064018f, -0.415521621704102f, + 0.221577480435371f, -0.415308207273483f, 0.221259027719498f, -0.415094524621964f, + 0.220940738916397f, -0.414880603551865f, 0.220622614026070f, -0.414666473865509f, + 0.220304638147354f, -0.414452046155930f, 0.219986841082573f, -0.414237409830093f, + 0.219669207930565f, -0.414022535085678f, 0.219351738691330f, -0.413807392120361f, + 0.219034433364868f, -0.413592010736465f, 0.218717306852341f, -0.413376390933990f, + 0.218400329351425f, -0.413160532712936f, 0.218083515763283f, -0.412944436073303f, + 0.217766880989075f, -0.412728071212769f, 0.217450410127640f, -0.412511497735977f, + 0.217134088277817f, -0.412294656038284f, 0.216817945241928f, -0.412077575922012f, + 0.216501981019974f, -0.411860257387161f, 0.216186165809631f, -0.411642700433731f, + 0.215870529413223f, -0.411424905061722f, 0.215555042028427f, -0.411206841468811f, + 0.215239733457565f, -0.410988569259644f, 0.214924603700638f, -0.410770028829575f, + 0.214609622955322f, -0.410551249980927f, 0.214294821023941f, -0.410332232713699f, + 0.213980183005333f, -0.410112977027893f, 0.213665723800659f, -0.409893482923508f, + 0.213351413607597f, -0.409673750400543f, 0.213037282228470f, -0.409453779459000f, + 0.212723329663277f, -0.409233570098877f, 0.212409526109695f, -0.409013092517853f, + 0.212095901370049f, -0.408792406320572f, 0.211782455444336f, -0.408571451902390f, + 0.211469158530235f, -0.408350288867950f, 0.211156040430069f, -0.408128857612610f, + 0.210843101143837f, -0.407907217741013f, 0.210530325770378f, -0.407685309648514f, + 0.210217714309692f, -0.407463163137436f, 0.209905281662941f, -0.407240778207779f, + 0.209593027830124f, -0.407018154859543f, 0.209280923008919f, -0.406795293092728f, + 0.208969011902809f, -0.406572192907333f, 0.208657249808311f, -0.406348884105682f, + 0.208345666527748f, -0.406125307083130f, 0.208034262061119f, -0.405901491641998f, + 0.207723021507263f, -0.405677437782288f, 0.207411959767342f, -0.405453115701675f, + 0.207101076841354f, -0.405228585004807f, 0.206790357828140f, -0.405003815889359f, + 0.206479802727699f, -0.404778808355331f, 0.206169426441193f, -0.404553562402725f, + 0.205859228968620f, -0.404328078031540f, 0.205549195408821f, -0.404102355241776f, + 0.205239340662956f, -0.403876423835754f, 0.204929664731026f, -0.403650224208832f, + 0.204620152711868f, -0.403423786163330f, 0.204310819506645f, -0.403197109699249f, + 0.204001650214195f, -0.402970194816589f, 0.203692659735680f, -0.402743041515350f, + 0.203383848071098f, -0.402515679597855f, 0.203075215220451f, -0.402288049459457f, + 0.202766746282578f, -0.402060180902481f, 0.202458456158638f, -0.401832103729248f, + 0.202150344848633f, -0.401603758335114f, 0.201842412352562f, -0.401375204324722f, + 0.201534643769264f, -0.401146411895752f, 0.201227053999901f, -0.400917351245880f, + 0.200919643044472f, -0.400688081979752f, 0.200612410902977f, -0.400458574295044f, + 0.200305357575417f, -0.400228828191757f, 0.199998468160629f, -0.399998843669891f, + 0.199691757559776f, -0.399768620729446f, 0.199385225772858f, -0.399538189172745f, + 0.199078872799873f, -0.399307489395142f, 0.198772698640823f, -0.399076581001282f, + 0.198466703295708f, -0.398845434188843f, 0.198160871863365f, -0.398614019155502f, + 0.197855234146118f, -0.398382395505905f, 0.197549775242805f, -0.398150533437729f, + 0.197244480252266f, -0.397918462753296f, 0.196939364075661f, -0.397686123847961f, + 0.196634441614151f, -0.397453576326370f, 0.196329683065414f, -0.397220760583878f, + 0.196025103330612f, -0.396987736225128f, 0.195720717310905f, -0.396754473447800f, + 0.195416495203972f, -0.396520972251892f, 0.195112451910973f, -0.396287262439728f, + 0.194808602333069f, -0.396053284406662f, 0.194504916667938f, -0.395819097757339f, + 0.194201424717903f, -0.395584672689438f, 0.193898096680641f, -0.395350009202957f, + 0.193594962358475f, -0.395115107297897f, 0.193292006850243f, -0.394879996776581f, + 0.192989215254784f, -0.394644618034363f, 0.192686617374420f, -0.394409030675888f, + 0.192384198307991f, -0.394173204898834f, 0.192081972956657f, -0.393937170505524f, + 0.191779911518097f, -0.393700867891312f, 0.191478043794632f, -0.393464356660843f, + 0.191176339983940f, -0.393227607011795f, 0.190874829888344f, -0.392990618944168f, + 0.190573498606682f, -0.392753422260284f, 0.190272361040115f, -0.392515957355499f, + 0.189971387386322f, -0.392278283834457f, 0.189670607447624f, -0.392040401697159f, + 0.189370006322861f, -0.391802251338959f, 0.189069598913193f, -0.391563892364502f, + 0.188769355416298f, -0.391325294971466f, 0.188469305634499f, -0.391086459159851f, + 0.188169434666634f, -0.390847414731979f, 0.187869757413864f, -0.390608131885529f, + 0.187570258975029f, -0.390368610620499f, 0.187270939350128f, -0.390128880739212f, + 0.186971798539162f, -0.389888882637024f, 0.186672851443291f, -0.389648675918579f, + 0.186374098062515f, -0.389408260583878f, 0.186075508594513f, -0.389167606830597f, + 0.185777112841606f, -0.388926714658737f, 0.185478910803795f, -0.388685584068298f, + 0.185180887579918f, -0.388444244861603f, 0.184883043169975f, -0.388202667236328f, + 0.184585392475128f, -0.387960851192474f, 0.184287920594215f, -0.387718826532364f, + 0.183990627527237f, -0.387476563453674f, 0.183693528175354f, -0.387234061956406f, + 0.183396622538567f, -0.386991351842880f, 0.183099895715714f, -0.386748403310776f, + 0.182803362607956f, -0.386505216360092f, 0.182507008314133f, -0.386261820793152f, + 0.182210832834244f, -0.386018186807632f, 0.181914865970612f, -0.385774344205856f, + 0.181619063019753f, -0.385530263185501f, 0.181323468685150f, -0.385285943746567f, + 0.181028053164482f, -0.385041415691376f, 0.180732816457748f, -0.384796649217606f, + 0.180437773466110f, -0.384551674127579f, 0.180142924189568f, -0.384306460618973f, + 0.179848253726959f, -0.384061008691788f, 0.179553776979446f, -0.383815348148346f, + 0.179259493947029f, -0.383569449186325f, 0.178965389728546f, -0.383323341608047f, + 0.178671479225159f, -0.383076995611191f, 0.178377762436867f, -0.382830440998077f, + 0.178084224462509f, -0.382583618164063f, 0.177790880203247f, -0.382336616516113f, + 0.177497729659081f, -0.382089376449585f, 0.177204772830009f, -0.381841897964478f, + 0.176911994814873f, -0.381594210863113f, 0.176619410514832f, -0.381346285343170f, + 0.176327019929886f, -0.381098151206970f, 0.176034808158875f, -0.380849778652191f, + 0.175742805004120f, -0.380601197481155f, 0.175450980663300f, -0.380352377891541f, + 0.175159350037575f, -0.380103349685669f, 0.174867913126946f, -0.379854083061218f, + 0.174576655030251f, -0.379604607820511f, 0.174285605549812f, -0.379354894161224f, + 0.173994734883308f, -0.379104942083359f, 0.173704057931900f, -0.378854811191559f, + 0.173413574695587f, -0.378604412078857f, 0.173123285174370f, -0.378353834152222f, + 0.172833189368248f, -0.378102988004684f, 0.172543287277222f, -0.377851963043213f, + 0.172253578901291f, -0.377600699663162f, 0.171964049339294f, -0.377349197864532f, + 0.171674728393555f, -0.377097487449646f, 0.171385586261749f, -0.376845568418503f, + 0.171096652746201f, -0.376593410968781f, 0.170807912945747f, -0.376341015100479f, + 0.170519351959229f, -0.376088410615921f, 0.170230999588966f, -0.375835597515106f, + 0.169942826032639f, -0.375582575798035f, 0.169654861092567f, -0.375329315662384f, + 0.169367074966431f, -0.375075817108154f, 0.169079497456551f, -0.374822109937668f, + 0.168792113661766f, -0.374568194150925f, 0.168504923582077f, -0.374314039945602f, + 0.168217927217484f, -0.374059677124023f, 0.167931124567986f, -0.373805105686188f, + 0.167644515633583f, -0.373550295829773f, 0.167358100414276f, -0.373295277357101f, + 0.167071878910065f, -0.373040050268173f, 0.166785866022110f, -0.372784584760666f, + 0.166500031948090f, -0.372528880834579f, 0.166214406490326f, -0.372272998094559f, + 0.165928974747658f, -0.372016876935959f, 0.165643751621246f, -0.371760547161102f, + 0.165358707308769f, -0.371503978967667f, 0.165073871612549f, -0.371247202157974f, + 0.164789214730263f, -0.370990216732025f, 0.164504766464233f, -0.370732992887497f, + 0.164220526814461f, -0.370475560426712f, 0.163936465978622f, -0.370217919349670f, + 0.163652613759041f, -0.369960039854050f, 0.163368955254555f, -0.369701951742172f, + 0.163085505366325f, -0.369443655014038f, 0.162802234292030f, -0.369185149669647f, + 0.162519171833992f, -0.368926405906677f, 0.162236317992210f, -0.368667453527451f, + 0.161953642964363f, -0.368408292531967f, 0.161671176552773f, -0.368148893117905f, + 0.161388918757439f, -0.367889285087585f, 0.161106839776039f, -0.367629468441010f, + 0.160824984312058f, -0.367369443178177f, 0.160543307662010f, -0.367109179496765f, + 0.160261839628220f, -0.366848707199097f, 0.159980565309525f, -0.366588026285172f, + 0.159699499607086f, -0.366327136754990f, 0.159418627619743f, -0.366066008806229f, + 0.159137964248657f, -0.365804702043533f, 0.158857494592667f, -0.365543156862259f, + 0.158577233552933f, -0.365281373262405f, 0.158297166228294f, -0.365019410848618f, + 0.158017292618752f, -0.364757210016251f, 0.157737627625465f, -0.364494800567627f, + 0.157458171248436f, -0.364232182502747f, 0.157178908586502f, -0.363969355821610f, + 0.156899839639664f, -0.363706320524216f, 0.156620979309082f, -0.363443046808243f, + 0.156342327594757f, -0.363179564476013f, 0.156063869595528f, -0.362915903329849f, + 0.155785620212555f, -0.362651973962784f, 0.155507579445839f, -0.362387865781784f, + 0.155229732394218f, -0.362123548984528f, 0.154952079057693f, -0.361858993768692f, + 0.154674649238586f, -0.361594229936600f, 0.154397398233414f, -0.361329287290573f, + 0.154120370745659f, -0.361064106225967f, 0.153843536973000f, -0.360798716545105f, + 0.153566911816597f, -0.360533088445663f, 0.153290495276451f, -0.360267281532288f, + 0.153014272451401f, -0.360001266002655f, 0.152738258242607f, -0.359735012054443f, + 0.152462437748909f, -0.359468549489975f, 0.152186840772629f, -0.359201908111572f, + 0.151911437511444f, -0.358935028314590f, 0.151636242866516f, -0.358667939901352f, + 0.151361241936684f, -0.358400642871857f, 0.151086464524269f, -0.358133137226105f, + 0.150811880826950f, -0.357865422964096f, 0.150537505745888f, -0.357597470283508f, + 0.150263324379921f, -0.357329338788986f, 0.149989366531372f, -0.357060998678207f, + 0.149715602397919f, -0.356792420148849f, 0.149442046880722f, -0.356523662805557f, + 0.149168699979782f, -0.356254696846008f, 0.148895561695099f, -0.355985492467880f, + 0.148622632026672f, -0.355716109275818f, 0.148349896073341f, -0.355446487665176f, + 0.148077383637428f, -0.355176687240601f, 0.147805064916611f, -0.354906648397446f, + 0.147532954812050f, -0.354636400938034f, 0.147261068224907f, -0.354365974664688f, + 0.146989375352860f, -0.354095309972763f, 0.146717891097069f, -0.353824466466904f, + 0.146446615457535f, -0.353553384542465f, 0.146175548434258f, -0.353282123804092f, + 0.145904675126076f, -0.353010624647141f, 0.145634025335312f, -0.352738946676254f, + 0.145363584160805f, -0.352467030286789f, 0.145093351602554f, -0.352194935083389f, + 0.144823327660561f, -0.351922631263733f, 0.144553512334824f, -0.351650089025497f, + 0.144283905625343f, -0.351377367973328f, 0.144014507532120f, -0.351104438304901f, + 0.143745318055153f, -0.350831300020218f, 0.143476337194443f, -0.350557953119278f, + 0.143207564949989f, -0.350284397602081f, 0.142939001321793f, -0.350010633468628f, + 0.142670661211014f, -0.349736660718918f, 0.142402514815331f, -0.349462509155273f, + 0.142134591937065f, -0.349188119173050f, 0.141866862773895f, -0.348913550376892f, + 0.141599357128143f, -0.348638743162155f, 0.141332060098648f, -0.348363757133484f, + 0.141064971685410f, -0.348088562488556f, 0.140798106789589f, -0.347813159227371f, + 0.140531435608864f, -0.347537547349930f, 0.140264987945557f, -0.347261756658554f, + 0.139998748898506f, -0.346985727548599f, 0.139732718467712f, -0.346709519624710f, + 0.139466896653175f, -0.346433073282242f, 0.139201298356056f, -0.346156448125839f, + 0.138935908675194f, -0.345879614353180f, 0.138670727610588f, -0.345602601766586f, + 0.138405755162239f, -0.345325350761414f, 0.138141006231308f, -0.345047920942307f, + 0.137876465916634f, -0.344770282506943f, 0.137612134218216f, -0.344492435455322f, + 0.137348011136055f, -0.344214379787445f, 0.137084111571312f, -0.343936115503311f, + 0.136820420622826f, -0.343657672405243f, 0.136556953191757f, -0.343379020690918f, + 0.136293679475784f, -0.343100160360336f, 0.136030644178391f, -0.342821091413498f, + 0.135767802596092f, -0.342541843652725f, 0.135505184531212f, -0.342262357473373f, + 0.135242775082588f, -0.341982692480087f, 0.134980589151382f, -0.341702848672867f, + 0.134718611836433f, -0.341422766447067f, 0.134456858038902f, -0.341142505407333f, + 0.134195312857628f, -0.340862035751343f, 0.133933976292610f, -0.340581357479095f, + 0.133672863245010f, -0.340300500392914f, 0.133411958813667f, -0.340019434690475f, + 0.133151277899742f, -0.339738160371780f, 0.132890805602074f, -0.339456677436829f, + 0.132630556821823f, -0.339175015687943f, 0.132370531558990f, -0.338893145322800f, + 0.132110700011253f, -0.338611096143723f, 0.131851106882095f, -0.338328808546066f, + 0.131591722369194f, -0.338046342134476f, 0.131332546472549f, -0.337763696908951f, + 0.131073594093323f, -0.337480813264847f, 0.130814850330353f, -0.337197750806808f, + 0.130556344985962f, -0.336914509534836f, 0.130298033356667f, -0.336631029844284f, + 0.130039945244789f, -0.336347371339798f, 0.129782080650330f, -0.336063534021378f, + 0.129524439573288f, -0.335779488086700f, 0.129267007112503f, -0.335495233535767f, + 0.129009798169136f, -0.335210770368576f, 0.128752797842026f, -0.334926128387451f, + 0.128496021032333f, -0.334641307592392f, 0.128239467740059f, -0.334356248378754f, + 0.127983123064041f, -0.334071010351181f, 0.127727001905441f, -0.333785593509674f, + 0.127471104264259f, -0.333499968051910f, 0.127215430140495f, -0.333214133977890f, + 0.126959964632988f, -0.332928121089935f, 0.126704722642899f, -0.332641899585724f, + 0.126449704170227f, -0.332355499267578f, 0.126194894313812f, -0.332068890333176f, + 0.125940307974815f, -0.331782072782516f, 0.125685945153236f, -0.331495076417923f, + 0.125431805849075f, -0.331207901239395f, 0.125177875161171f, -0.330920487642288f, + 0.124924175441265f, -0.330632925033569f, 0.124670691788197f, -0.330345153808594f, + 0.124417431652546f, -0.330057173967361f, 0.124164395034313f, -0.329769015312195f, + 0.123911574482918f, -0.329480648040771f, 0.123658977448940f, -0.329192101955414f, + 0.123406603932381f, -0.328903347253799f, 0.123154446482658f, -0.328614413738251f, + 0.122902512550354f, -0.328325271606445f, 0.122650802135468f, -0.328035950660706f, + 0.122399315237999f, -0.327746421098709f, 0.122148044407368f, -0.327456712722778f, + 0.121896997094154f, -0.327166795730591f, 0.121646173298359f, -0.326876699924469f, + 0.121395580470562f, -0.326586425304413f, 0.121145196259022f, -0.326295942068100f, + 0.120895043015480f, -0.326005280017853f, 0.120645113289356f, -0.325714409351349f, + 0.120395407080650f, -0.325423330068588f, 0.120145916938782f, -0.325132101774216f, + 0.119896657764912f, -0.324840664863586f, 0.119647622108459f, -0.324549019336700f, + 0.119398809969425f, -0.324257194995880f, 0.119150213897228f, -0.323965191841125f, + 0.118901848793030f, -0.323672980070114f, 0.118653707206249f, -0.323380589485168f, + 0.118405789136887f, -0.323088020086288f, 0.118158094584942f, -0.322795242071152f, + 0.117910631000996f, -0.322502255439758f, 0.117663383483887f, -0.322209119796753f, + 0.117416366934776f, -0.321915775537491f, 0.117169573903084f, -0.321622252464294f, + 0.116923004388809f, -0.321328520774841f, 0.116676658391953f, -0.321034610271454f, + 0.116430543363094f, -0.320740520954132f, 0.116184651851654f, -0.320446223020554f, + 0.115938983857632f, -0.320151746273041f, 0.115693546831608f, -0.319857090711594f, + 0.115448333323002f, -0.319562226533890f, 0.115203343331814f, -0.319267183542252f, + 0.114958584308624f, -0.318971961736679f, 0.114714048802853f, -0.318676531314850f, + 0.114469736814499f, -0.318380922079086f, 0.114225655794144f, -0.318085134029388f, + 0.113981798291206f, -0.317789167165756f, 0.113738171756268f, -0.317492991685867f, + 0.113494776189327f, -0.317196637392044f, 0.113251596689224f, -0.316900104284287f, + 0.113008655607700f, -0.316603392362595f, 0.112765938043594f, -0.316306471824646f, + 0.112523443996906f, -0.316009372472763f, 0.112281180918217f, -0.315712094306946f, + 0.112039148807526f, -0.315414607524872f, 0.111797347664833f, -0.315116971731186f, + 0.111555770039558f, -0.314819127321243f, 0.111314415931702f, -0.314521104097366f, + 0.111073300242424f, -0.314222872257233f, 0.110832408070564f, -0.313924491405487f, + 0.110591746866703f, -0.313625901937485f, 0.110351309180260f, -0.313327133655548f, + 0.110111102461815f, -0.313028186559677f, 0.109871134161949f, -0.312729060649872f, + 0.109631389379501f, -0.312429755926132f, 0.109391868114471f, -0.312130242586136f, + 0.109152585268021f, -0.311830550432205f, 0.108913525938988f, -0.311530679464340f, + 0.108674705028534f, -0.311230629682541f, 0.108436107635498f, -0.310930401086807f, + 0.108197741210461f, -0.310629993677139f, 0.107959605753422f, -0.310329377651215f, + 0.107721701264381f, -0.310028612613678f, 0.107484027743340f, -0.309727638959885f, + 0.107246585190296f, -0.309426486492157f, 0.107009373605251f, -0.309125155210495f, + 0.106772392988205f, -0.308823645114899f, 0.106535643339157f, -0.308521956205368f, + 0.106299124658108f, -0.308220088481903f, 0.106062836945057f, -0.307918041944504f, + 0.105826787650585f, -0.307615786790848f, 0.105590961873531f, -0.307313382625580f, + 0.105355374515057f, -0.307010769844055f, 0.105120018124580f, -0.306708008050919f, + 0.104884892702103f, -0.306405037641525f, 0.104649998247623f, -0.306101888418198f, + 0.104415334761143f, -0.305798590183258f, 0.104180909693241f, -0.305495083332062f, + 0.103946708142757f, -0.305191397666931f, 0.103712752461433f, -0.304887533187866f, + 0.103479020297527f, -0.304583519697189f, 0.103245526552200f, -0.304279297590256f, + 0.103012263774872f, -0.303974896669388f, 0.102779231965542f, -0.303670316934586f, + 0.102546438574791f, -0.303365558385849f, 0.102313876152039f, -0.303060621023178f, + 0.102081544697285f, -0.302755534648895f, 0.101849451661110f, -0.302450239658356f, + 0.101617597043514f, -0.302144765853882f, 0.101385973393917f, -0.301839113235474f, + 0.101154580712318f, -0.301533311605453f, 0.100923426449299f, -0.301227301359177f, + 0.100692503154278f, -0.300921112298965f, 0.100461818277836f, -0.300614774227142f, + 0.100231364369392f, -0.300308227539063f, 0.100001148879528f, -0.300001531839371f, + 0.099771171808243f, -0.299694657325745f, 0.099541425704956f, -0.299387603998184f, + 0.099311910569668f, -0.299080342054367f, 0.099082641303539f, -0.298772931098938f, + 0.098853603005409f, -0.298465341329575f, 0.098624803125858f, -0.298157602548599f, + 0.098396234214306f, -0.297849655151367f, 0.098167903721333f, -0.297541528940201f, + 0.097939811646938f, -0.297233253717422f, 0.097711957991123f, -0.296924799680710f, + 0.097484335303307f, -0.296616137027740f, 0.097256951034069f, -0.296307325363159f, + 0.097029805183411f, -0.295998334884644f, 0.096802897751331f, -0.295689195394516f, + 0.096576221287251f, -0.295379847288132f, 0.096349790692329f, -0.295070350170136f, + 0.096123591065407f, -0.294760644435883f, 0.095897629857063f, -0.294450789690018f, + 0.095671907067299f, -0.294140785932541f, 0.095446422696114f, -0.293830573558807f, + 0.095221176743507f, -0.293520182371140f, 0.094996169209480f, -0.293209642171860f, + 0.094771400094032f, -0.292898923158646f, 0.094546869397163f, -0.292588025331497f, + 0.094322577118874f, -0.292276978492737f, 0.094098523259163f, -0.291965723037720f, + 0.093874707818031f, -0.291654318571091f, 0.093651130795479f, -0.291342735290527f, + 0.093427792191505f, -0.291031002998352f, 0.093204692006111f, -0.290719062089920f, + 0.092981837689877f, -0.290406972169876f, 0.092759214341640f, -0.290094703435898f, + 0.092536836862564f, -0.289782285690308f, 0.092314697802067f, -0.289469659328461f, + 0.092092797160149f, -0.289156883955002f, 0.091871134936810f, -0.288843959569931f, + 0.091649711132050f, -0.288530826568604f, 0.091428533196449f, -0.288217544555664f, + 0.091207593679428f, -0.287904083728790f, 0.090986892580986f, -0.287590473890305f, + 0.090766437351704f, -0.287276685237885f, 0.090546220541000f, -0.286962717771530f, + 0.090326242148876f, -0.286648571491241f, 0.090106502175331f, -0.286334276199341f, + 0.089887008070946f, -0.286019802093506f, 0.089667752385139f, -0.285705178976059f, + 0.089448742568493f, -0.285390377044678f, 0.089229971170425f, -0.285075396299362f, + 0.089011445641518f, -0.284760266542435f, 0.088793158531189f, -0.284444957971573f, + 0.088575109839439f, -0.284129470586777f, 0.088357307016850f, -0.283813834190369f, + 0.088139742612839f, -0.283498018980026f, 0.087922424077988f, -0.283182054758072f, + 0.087705351412296f, -0.282865911722183f, 0.087488517165184f, -0.282549589872360f, + 0.087271921336651f, -0.282233119010925f, 0.087055571377277f, -0.281916469335556f, + 0.086839467287064f, -0.281599670648575f, 0.086623609066010f, -0.281282693147659f, + 0.086407989263535f, -0.280965566635132f, 0.086192607879639f, -0.280648261308670f, + 0.085977479815483f, -0.280330777168274f, 0.085762590169907f, -0.280013144016266f, + 0.085547938942909f, -0.279695361852646f, 0.085333541035652f, -0.279377400875092f, + 0.085119381546974f, -0.279059261083603f, 0.084905467927456f, -0.278740972280502f, + 0.084691800177097f, -0.278422504663467f, 0.084478378295898f, -0.278103888034821f, + 0.084265194833279f, -0.277785122394562f, 0.084052257239819f, -0.277466177940369f, + 0.083839565515518f, -0.277147054672241f, 0.083627119660378f, -0.276827782392502f, + 0.083414919674397f, -0.276508361101151f, 0.083202958106995f, -0.276188760995865f, + 0.082991249859333f, -0.275868982076645f, 0.082779780030251f, -0.275549083948135f, + 0.082568563520908f, -0.275228977203369f, 0.082357585430145f, -0.274908751249313f, + 0.082146860659122f, -0.274588316679001f, 0.081936374306679f, -0.274267762899399f, + 0.081726133823395f, -0.273947030305862f, 0.081516146659851f, -0.273626148700714f, + 0.081306397914886f, -0.273305088281631f, 0.081096902489662f, -0.272983878850937f, + 0.080887645483017f, -0.272662490606308f, 0.080678641796112f, -0.272340953350067f, + 0.080469883978367f, -0.272019267082214f, 0.080261372029781f, -0.271697402000427f, + 0.080053105950356f, -0.271375387907028f, 0.079845085740089f, -0.271053224802017f, + 0.079637311398983f, -0.270730882883072f, 0.079429790377617f, -0.270408391952515f, + 0.079222507774830f, -0.270085722208023f, 0.079015478491783f, -0.269762933254242f, + 0.078808702528477f, -0.269439965486526f, 0.078602164983749f, -0.269116818904877f, + 0.078395880758762f, -0.268793523311615f, 0.078189842402935f, -0.268470078706741f, + 0.077984049916267f, -0.268146485090256f, 0.077778510749340f, -0.267822742462158f, + 0.077573217451572f, -0.267498821020126f, 0.077368170022964f, -0.267174720764160f, + 0.077163375914097f, -0.266850501298904f, 0.076958827674389f, -0.266526103019714f, + 0.076754532754421f, -0.266201555728912f, 0.076550483703613f, -0.265876859426498f, + 0.076346680521965f, -0.265552014112473f, 0.076143130660057f, -0.265226989984512f, + 0.075939826667309f, -0.264901816844940f, 0.075736775994301f, -0.264576494693756f, + 0.075533971190453f, -0.264250993728638f, 0.075331419706345f, -0.263925373554230f, + 0.075129114091396f, -0.263599574565887f, 0.074927061796188f, -0.263273626565933f, + 0.074725262820721f, -0.262947499752045f, 0.074523709714413f, -0.262621253728867f, + 0.074322402477264f, -0.262294828891754f, 0.074121348559856f, -0.261968284845352f, + 0.073920547962189f, -0.261641561985016f, 0.073720000684261f, -0.261314690113068f, + 0.073519699275494f, -0.260987639427185f, 0.073319651186466f, -0.260660469532013f, + 0.073119848966599f, -0.260333120822906f, 0.072920300066471f, -0.260005623102188f, + 0.072721004486084f, -0.259678006172180f, 0.072521962225437f, -0.259350210428238f, + 0.072323165833950f, -0.259022265672684f, 0.072124622762203f, -0.258694142103195f, + 0.071926333010197f, -0.258365899324417f, 0.071728296577930f, -0.258037507534027f, + 0.071530513465405f, -0.257708936929703f, 0.071332976222038f, -0.257380217313766f, + 0.071135692298412f, -0.257051378488541f, 0.070938661694527f, -0.256722360849380f, + 0.070741884410381f, -0.256393194198608f, 0.070545360445976f, -0.256063878536224f, + 0.070349089801311f, -0.255734413862228f, 0.070153072476387f, -0.255404800176620f, + 0.069957308471203f, -0.255075037479401f, 0.069761790335178f, -0.254745125770569f, + 0.069566532969475f, -0.254415065050125f, 0.069371521472931f, -0.254084855318069f, + 0.069176770746708f, -0.253754496574402f, 0.068982265889645f, -0.253423988819122f, + 0.068788021802902f, -0.253093332052231f, 0.068594031035900f, -0.252762526273727f, + 0.068400286138058f, -0.252431541681290f, 0.068206802010536f, -0.252100437879562f, + 0.068013571202755f, -0.251769185066223f, 0.067820593714714f, -0.251437783241272f, + 0.067627869546413f, -0.251106232404709f, 0.067435398697853f, -0.250774532556534f, + 0.067243188619614f, -0.250442683696747f, 0.067051224410534f, -0.250110685825348f, + 0.066859520971775f, -0.249778553843498f, 0.066668070852757f, -0.249446272850037f, + 0.066476874053478f, -0.249113827943802f, 0.066285938024521f, -0.248781248927116f, + 0.066095255315304f, -0.248448520898819f, 0.065904818475246f, -0.248115643858910f, + 0.065714649856091f, -0.247782632708550f, 0.065524727106094f, -0.247449472546577f, + 0.065335065126419f, -0.247116148471832f, 0.065145656466484f, -0.246782705187798f, + 0.064956501126289f, -0.246449097990990f, 0.064767606556416f, -0.246115356683731f, + 0.064578965306282f, -0.245781451463699f, 0.064390584826469f, -0.245447427034378f, + 0.064202457666397f, -0.245113238692284f, 0.064014583826065f, -0.244778916239738f, + 0.063826970756054f, -0.244444444775581f, 0.063639611005783f, -0.244109839200974f, + 0.063452512025833f, -0.243775084614754f, 0.063265666365623f, -0.243440181016922f, + 0.063079081475735f, -0.243105143308640f, 0.062892749905586f, -0.242769956588745f, + 0.062706671655178f, -0.242434620857239f, 0.062520854175091f, -0.242099151015282f, + 0.062335297465324f, -0.241763532161713f, 0.062149997800589f, -0.241427779197693f, + 0.061964951455593f, -0.241091892123222f, 0.061780165880919f, -0.240755841135979f, + 0.061595637351274f, -0.240419670939446f, 0.061411365866661f, -0.240083336830139f, + 0.061227355152369f, -0.239746883511543f, 0.061043601483107f, -0.239410281181335f, + 0.060860104858875f, -0.239073529839516f, 0.060676865279675f, -0.238736644387245f, + 0.060493886470795f, -0.238399609923363f, 0.060311164706945f, -0.238062441349030f, + 0.060128703713417f, -0.237725138664246f, 0.059946499764919f, -0.237387686967850f, + 0.059764556586742f, -0.237050101161003f, 0.059582870453596f, -0.236712381243706f, + 0.059401445090771f, -0.236374512314796f, 0.059220276772976f, -0.236036509275436f, + 0.059039369225502f, -0.235698372125626f, 0.058858718723059f, -0.235360085964203f, + 0.058678328990936f, -0.235021665692329f, 0.058498200029135f, -0.234683111310005f, + 0.058318331837654f, -0.234344407916069f, 0.058138720691204f, -0.234005570411682f, + 0.057959370315075f, -0.233666598796844f, 0.057780280709267f, -0.233327493071556f, + 0.057601451873779f, -0.232988253235817f, 0.057422880083323f, -0.232648864388466f, + 0.057244572788477f, -0.232309341430664f, 0.057066522538662f, -0.231969684362412f, + 0.056888736784458f, -0.231629893183708f, 0.056711208075285f, -0.231289967894554f, + 0.056533940136433f, -0.230949893593788f, 0.056356932967901f, -0.230609700083733f, + 0.056180190294981f, -0.230269357562065f, 0.056003704667091f, -0.229928880929947f, + 0.055827483534813f, -0.229588270187378f, 0.055651523172855f, -0.229247525334358f, + 0.055475823581219f, -0.228906646370888f, 0.055300384759903f, -0.228565633296967f, + 0.055125206708908f, -0.228224486112595f, 0.054950293153524f, -0.227883204817772f, + 0.054775636643171f, -0.227541789412498f, 0.054601248353720f, -0.227200239896774f, + 0.054427117109299f, -0.226858556270599f, 0.054253250360489f, -0.226516738533974f, + 0.054079644382000f, -0.226174786686897f, 0.053906302899122f, -0.225832715630531f, + 0.053733222186565f, -0.225490495562553f, 0.053560405969620f, -0.225148141384125f, + 0.053387850522995f, -0.224805667996407f, 0.053215555846691f, -0.224463045597076f, + 0.053043525665998f, -0.224120303988457f, 0.052871759980917f, -0.223777428269386f, + 0.052700258791447f, -0.223434418439865f, 0.052529018372297f, -0.223091274499893f, + 0.052358038723469f, -0.222748011350632f, 0.052187327295542f, -0.222404599189758f, + 0.052016876637936f, -0.222061067819595f, 0.051846686750650f, -0.221717402338982f, + 0.051676765084267f, -0.221373617649078f, 0.051507104188204f, -0.221029683947563f, + 0.051337707787752f, -0.220685631036758f, 0.051168579608202f, -0.220341444015503f, + 0.050999708473682f, -0.219997137784958f, 0.050831105560064f, -0.219652697443962f, + 0.050662767142057f, -0.219308122992516f, 0.050494693219662f, -0.218963414430618f, + 0.050326880067587f, -0.218618586659431f, 0.050159335136414f, -0.218273624777794f, + 0.049992054700851f, -0.217928543686867f, 0.049825038760900f, -0.217583328485489f, + 0.049658283591270f, -0.217237979173660f, 0.049491796642542f, -0.216892510652542f, + 0.049325577914715f, -0.216546908020973f, 0.049159619957209f, -0.216201186180115f, + 0.048993926495314f, -0.215855330228806f, 0.048828501254320f, -0.215509355068207f, + 0.048663340508938f, -0.215163245797157f, 0.048498444259167f, -0.214817002415657f, + 0.048333816230297f, -0.214470639824867f, 0.048169452697039f, -0.214124158024788f, + 0.048005353659391f, -0.213777542114258f, 0.047841522842646f, -0.213430806994438f, + 0.047677956521511f, -0.213083937764168f, 0.047514654695988f, -0.212736949324608f, + 0.047351621091366f, -0.212389841675758f, 0.047188851982355f, -0.212042599916458f, + 0.047026351094246f, -0.211695238947868f, 0.046864114701748f, -0.211347743868828f, + 0.046702146530151f, -0.211000129580498f, 0.046540446579456f, -0.210652396082878f, + 0.046379011124372f, -0.210304543375969f, 0.046217843890190f, -0.209956556558609f, + 0.046056941151619f, -0.209608450531960f, 0.045896306633949f, -0.209260210394859f, + 0.045735940337181f, -0.208911851048470f, 0.045575842261314f, -0.208563387393951f, + 0.045416008681059f, -0.208214774727821f, 0.045256443321705f, -0.207866057753563f, + 0.045097146183252f, -0.207517206668854f, 0.044938117265701f, -0.207168251276016f, + 0.044779352843761f, -0.206819161772728f, 0.044620860368013f, -0.206469938158989f, + 0.044462632387877f, -0.206120610237122f, 0.044304672628641f, -0.205771163105965f, + 0.044146984815598f, -0.205421581864357f, 0.043989561498165f, -0.205071896314621f, + 0.043832406401634f, -0.204722076654434f, 0.043675523251295f, -0.204372137784958f, + 0.043518904596567f, -0.204022079706192f, 0.043362557888031f, -0.203671902418137f, + 0.043206475675106f, -0.203321605920792f, 0.043050665408373f, -0.202971190214157f, + 0.042895123362541f, -0.202620655298233f, 0.042739849537611f, -0.202270001173019f, + 0.042584843933582f, -0.201919227838516f, 0.042430106550455f, -0.201568335294724f, + 0.042275641113520f, -0.201217323541641f, 0.042121443897486f, -0.200866192579269f, + 0.041967518627644f, -0.200514942407608f, 0.041813857853413f, -0.200163587927818f, + 0.041660469025373f, -0.199812099337578f, 0.041507352143526f, -0.199460506439209f, + 0.041354499757290f, -0.199108779430389f, 0.041201923042536f, -0.198756948113441f, + 0.041049610823393f, -0.198404997587204f, 0.040897574275732f, -0.198052927851677f, + 0.040745802223682f, -0.197700738906860f, 0.040594302117825f, -0.197348430752754f, + 0.040443073958158f, -0.196996018290520f, 0.040292114019394f, -0.196643486618996f, + 0.040141426026821f, -0.196290835738182f, 0.039991009980440f, -0.195938065648079f, + 0.039840862154961f, -0.195585191249847f, 0.039690986275673f, -0.195232197642326f, + 0.039541378617287f, -0.194879084825516f, 0.039392042905092f, -0.194525867700577f, + 0.039242979139090f, -0.194172516465187f, 0.039094187319279f, -0.193819075822830f, + 0.038945667445660f, -0.193465501070023f, 0.038797415792942f, -0.193111822009087f, + 0.038649436086416f, -0.192758023738861f, 0.038501728326082f, -0.192404121160507f, + 0.038354292511940f, -0.192050099372864f, 0.038207128643990f, -0.191695958375931f, + 0.038060232996941f, -0.191341713070869f, 0.037913613021374f, -0.190987363457680f, + 0.037767261266708f, -0.190632879734039f, 0.037621185183525f, -0.190278306603432f, + 0.037475381046534f, -0.189923599362373f, 0.037329845130444f, -0.189568802714348f, + 0.037184584885836f, -0.189213871955872f, 0.037039596587420f, -0.188858851790428f, + 0.036894880235195f, -0.188503712415695f, 0.036750435829163f, -0.188148453831673f, + 0.036606263369322f, -0.187793090939522f, 0.036462362855673f, -0.187437608838081f, + 0.036318738013506f, -0.187082037329674f, 0.036175385117531f, -0.186726331710815f, + 0.036032304167747f, -0.186370536684990f, 0.035889495164156f, -0.186014622449875f, + 0.035746958106756f, -0.185658603906631f, 0.035604696720839f, -0.185302466154099f, + 0.035462711006403f, -0.184946224093437f, 0.035320993512869f, -0.184589877724648f, + 0.035179551690817f, -0.184233412146568f, 0.035038381814957f, -0.183876842260361f, + 0.034897487610579f, -0.183520168066025f, 0.034756865352392f, -0.183163389563560f, + 0.034616518765688f, -0.182806491851807f, 0.034476444125175f, -0.182449504733086f, + 0.034336645156145f, -0.182092398405075f, 0.034197118133307f, -0.181735187768936f, + 0.034057866781950f, -0.181377857923508f, 0.033918887376785f, -0.181020438671112f, + 0.033780183643103f, -0.180662900209427f, 0.033641755580902f, -0.180305257439613f, + 0.033503599464893f, -0.179947525262833f, 0.033365719020367f, -0.179589673876762f, + 0.033228114247322f, -0.179231703281403f, 0.033090781420469f, -0.178873643279076f, + 0.032953724265099f, -0.178515478968620f, 0.032816942781210f, -0.178157210350037f, + 0.032680433243513f, -0.177798837423325f, 0.032544203102589f, -0.177440345287323f, + 0.032408244907856f, -0.177081763744354f, 0.032272562384605f, -0.176723077893257f, + 0.032137155532837f, -0.176364272832870f, 0.032002024352551f, -0.176005378365517f, + 0.031867165118456f, -0.175646379590034f, 0.031732585281134f, -0.175287276506424f, + 0.031598277390003f, -0.174928069114685f, 0.031464248895645f, -0.174568757414818f, + 0.031330492347479f, -0.174209341406822f, 0.031197015196085f, -0.173849821090698f, + 0.031063811853528f, -0.173490211367607f, 0.030930884182453f, -0.173130482435226f, + 0.030798232182860f, -0.172770664095879f, 0.030665857717395f, -0.172410741448402f, + 0.030533758923411f, -0.172050714492798f, 0.030401935800910f, -0.171690583229065f, + 0.030270388349891f, -0.171330362558365f, 0.030139118432999f, -0.170970037579536f, + 0.030008124187589f, -0.170609608292580f, 0.029877405613661f, -0.170249074697495f, + 0.029746964573860f, -0.169888436794281f, 0.029616801068187f, -0.169527709484100f, + 0.029486913233995f, -0.169166877865791f, 0.029357301071286f, -0.168805956840515f, + 0.029227968305349f, -0.168444931507111f, 0.029098909348249f, -0.168083801865578f, + 0.028970129787922f, -0.167722567915916f, 0.028841627761722f, -0.167361244559288f, + 0.028713401407003f, -0.166999831795692f, 0.028585452586412f, -0.166638299822807f, + 0.028457781299949f, -0.166276678442955f, 0.028330387547612f, -0.165914967656136f, + 0.028203271329403f, -0.165553152561188f, 0.028076432645321f, -0.165191248059273f, + 0.027949871495366f, -0.164829224348068f, 0.027823587879539f, -0.164467126131058f, + 0.027697581797838f, -0.164104923605919f, 0.027571853250265f, -0.163742616772652f, + 0.027446404099464f, -0.163380220532417f, 0.027321230620146f, -0.163017734885216f, + 0.027196336537600f, -0.162655144929886f, 0.027071721851826f, -0.162292465567589f, + 0.026947384700179f, -0.161929681897163f, 0.026823325082660f, -0.161566808819771f, + 0.026699542999268f, -0.161203846335411f, 0.026576040312648f, -0.160840779542923f, + 0.026452817022800f, -0.160477623343468f, 0.026329871267080f, -0.160114362835884f, + 0.026207204908133f, -0.159751012921333f, 0.026084816083312f, -0.159387573599815f, + 0.025962706655264f, -0.159024044871330f, 0.025840876623988f, -0.158660411834717f, + 0.025719324126840f, -0.158296689391136f, 0.025598052889109f, -0.157932877540588f, + 0.025477059185505f, -0.157568961381912f, 0.025356344878674f, -0.157204970717430f, + 0.025235909968615f, -0.156840875744820f, 0.025115754455328f, -0.156476691365242f, + 0.024995878338814f, -0.156112402677536f, 0.024876279756427f, -0.155748039484024f, + 0.024756962433457f, -0.155383571982384f, 0.024637924507260f, -0.155019029974937f, + 0.024519165977836f, -0.154654383659363f, 0.024400688707829f, -0.154289647936821f, + 0.024282488971949f, -0.153924822807312f, 0.024164570495486f, -0.153559908270836f, + 0.024046931415796f, -0.153194904327393f, 0.023929571732879f, -0.152829796075821f, + 0.023812493309379f, -0.152464613318443f, 0.023695694282651f, -0.152099341154099f, + 0.023579176515341f, -0.151733979582787f, 0.023462938144803f, -0.151368513703346f, + 0.023346979171038f, -0.151002973318100f, 0.023231301456690f, -0.150637343525887f, + 0.023115905001760f, -0.150271624326706f, 0.023000787943602f, -0.149905815720558f, + 0.022885952144861f, -0.149539917707443f, 0.022771397605538f, -0.149173930287361f, + 0.022657122462988f, -0.148807853460312f, 0.022543128579855f, -0.148441687226295f, + 0.022429415956140f, -0.148075446486473f, 0.022315984591842f, -0.147709101438522f, + 0.022202832624316f, -0.147342681884766f, 0.022089963778853f, -0.146976172924042f, + 0.021977374330163f, -0.146609574556351f, 0.021865066140890f, -0.146242901682854f, + 0.021753041073680f, -0.145876124501228f, 0.021641295403242f, -0.145509272813797f, + 0.021529832854867f, -0.145142331719399f, 0.021418649703264f, -0.144775316119194f, + 0.021307749673724f, -0.144408211112022f, 0.021197130903602f, -0.144041016697884f, + 0.021086793392897f, -0.143673732876778f, 0.020976737141609f, -0.143306359648705f, + 0.020866964012384f, -0.142938911914825f, 0.020757472142577f, -0.142571389675140f, + 0.020648263394833f, -0.142203763127327f, 0.020539334043860f, -0.141836062073708f, + 0.020430689677596f, -0.141468286514282f, 0.020322324708104f, -0.141100421547890f, + 0.020214242860675f, -0.140732467174530f, 0.020106444135308f, -0.140364438295364f, + 0.019998926669359f, -0.139996320009232f, 0.019891692325473f, -0.139628127217293f, + 0.019784741103649f, -0.139259845018387f, 0.019678071141243f, -0.138891488313675f, + 0.019571684300900f, -0.138523042201996f, 0.019465578719974f, -0.138154521584511f, + 0.019359756261110f, -0.137785911560059f, 0.019254218786955f, -0.137417227029800f, + 0.019148962572217f, -0.137048453092575f, 0.019043987616897f, -0.136679604649544f, + 0.018939297646284f, -0.136310681700706f, 0.018834890797734f, -0.135941669344902f, + 0.018730765208602f, -0.135572582483292f, 0.018626924604177f, -0.135203406214714f, + 0.018523367121816f, -0.134834155440331f, 0.018420090898871f, -0.134464830160141f, + 0.018317099660635f, -0.134095430374146f, 0.018214391544461f, -0.133725941181183f, + 0.018111966550350f, -0.133356377482414f, 0.018009826540947f, -0.132986739277840f, + 0.017907967790961f, -0.132617011666298f, 0.017806394025683f, -0.132247209548950f, + 0.017705103382468f, -0.131877332925797f, 0.017604095861316f, -0.131507381796837f, + 0.017503373324871f, -0.131137356162071f, 0.017402933910489f, -0.130767241120338f, + 0.017302779480815f, -0.130397051572800f, 0.017202908173203f, -0.130026802420616f, + 0.017103319987655f, -0.129656463861465f, 0.017004016786814f, -0.129286035895348f, + 0.016904998570681f, -0.128915548324585f, 0.016806263476610f, -0.128544986248016f, + 0.016707813367248f, -0.128174334764481f, 0.016609646379948f, -0.127803623676300f, + 0.016511764377356f, -0.127432823181152f, 0.016414167359471f, -0.127061963081360f, + 0.016316853463650f, -0.126691013574600f, 0.016219824552536f, -0.126320004463196f, + 0.016123080626130f, -0.125948905944824f, 0.016026621684432f, -0.125577747821808f, + 0.015930447727442f, -0.125206500291824f, 0.015834558755159f, -0.124835193157196f, + 0.015738952904940f, -0.124463804066181f, 0.015643632039428f, -0.124092340469360f, + 0.015548598021269f, -0.123720809817314f, 0.015453847125173f, -0.123349204659462f, + 0.015359382145107f, -0.122977524995804f, 0.015265202149749f, -0.122605770826340f, + 0.015171307139099f, -0.122233949601650f, 0.015077698044479f, -0.121862053871155f, + 0.014984373003244f, -0.121490091085434f, 0.014891333878040f, -0.121118053793907f, + 0.014798580668867f, -0.120745941996574f, 0.014706112444401f, -0.120373763144016f, + 0.014613929204643f, -0.120001509785652f, 0.014522032812238f, -0.119629189372063f, + 0.014430420473218f, -0.119256794452667f, 0.014339094981551f, -0.118884332478046f, + 0.014248054474592f, -0.118511803448200f, 0.014157299883664f, -0.118139199912548f, + 0.014066831208766f, -0.117766529321671f, 0.013976648449898f, -0.117393791675568f, + 0.013886751607060f, -0.117020979523659f, 0.013797140680254f, -0.116648100316525f, + 0.013707815669477f, -0.116275154054165f, 0.013618776574731f, -0.115902140736580f, + 0.013530024327338f, -0.115529052913189f, 0.013441557064652f, -0.115155905485153f, + 0.013353376649320f, -0.114782683551311f, 0.013265483081341f, -0.114409394562244f, + 0.013177875429392f, -0.114036038517952f, 0.013090553693473f, -0.113662622869015f, + 0.013003518804908f, -0.113289132714272f, 0.012916770763695f, -0.112915575504303f, + 0.012830308638513f, -0.112541958689690f, 0.012744133360684f, -0.112168267369270f, + 0.012658244930208f, -0.111794516444206f, 0.012572642415762f, -0.111420698463917f, + 0.012487327679992f, -0.111046813428402f, 0.012402298860252f, -0.110672861337662f, + 0.012317557819188f, -0.110298842191696f, 0.012233102694154f, -0.109924763441086f, + 0.012148935347795f, -0.109550617635250f, 0.012065053917468f, -0.109176412224770f, + 0.011981460265815f, -0.108802139759064f, 0.011898153461516f, -0.108427800238132f, + 0.011815134435892f, -0.108053401112556f, 0.011732402257621f, -0.107678934931755f, + 0.011649956926703f, -0.107304409146309f, 0.011567799374461f, -0.106929816305637f, + 0.011485928669572f, -0.106555156409740f, 0.011404345743358f, -0.106180444359779f, + 0.011323049664497f, -0.105805665254593f, 0.011242041364312f, -0.105430819094181f, + 0.011161320842803f, -0.105055920779705f, 0.011080888099968f, -0.104680955410004f, + 0.011000742204487f, -0.104305922985077f, 0.010920885019004f, -0.103930838406086f, + 0.010841314680874f, -0.103555686771870f, 0.010762032121420f, -0.103180475533009f, + 0.010683037340641f, -0.102805204689503f, 0.010604331269860f, -0.102429874241352f, + 0.010525912046432f, -0.102054484188557f, 0.010447781533003f, -0.101679034531116f, + 0.010369938798249f, -0.101303517818451f, 0.010292383842170f, -0.100927948951721f, + 0.010215117596090f, -0.100552320480347f, 0.010138138197362f, -0.100176624953747f, + 0.010061448439956f, -0.099800877273083f, 0.009985045529902f, -0.099425069987774f, + 0.009908932261169f, -0.099049203097820f, 0.009833106771111f, -0.098673284053802f, + 0.009757569059730f, -0.098297297954559f, 0.009682320058346f, -0.097921259701252f, + 0.009607359766960f, -0.097545161843300f, 0.009532688185573f, -0.097169004380703f, + 0.009458304382861f, -0.096792794764042f, 0.009384209290147f, -0.096416525542736f, + 0.009310402907431f, -0.096040196716785f, 0.009236886166036f, -0.095663815736771f, + 0.009163657203317f, -0.095287375152111f, 0.009090716950595f, -0.094910882413387f, + 0.009018065407872f, -0.094534330070019f, 0.008945702575147f, -0.094157725572586f, + 0.008873629383743f, -0.093781061470509f, 0.008801844902337f, -0.093404345214367f, + 0.008730349130929f, -0.093027576804161f, 0.008659142069519f, -0.092650748789310f, + 0.008588224649429f, -0.092273868620396f, 0.008517595939338f, -0.091896936297417f, + 0.008447255939245f, -0.091519944369793f, 0.008377205580473f, -0.091142900288105f, + 0.008307444863021f, -0.090765804052353f, 0.008237972855568f, -0.090388655662537f, + 0.008168790489435f, -0.090011447668076f, 0.008099896833301f, -0.089634194970131f, + 0.008031292818487f, -0.089256882667542f, 0.007962978444993f, -0.088879525661469f, + 0.007894953712821f, -0.088502109050751f, 0.007827218621969f, -0.088124647736549f, + 0.007759772241116f, -0.087747126817703f, 0.007692615967244f, -0.087369553744793f, + 0.007625748869032f, -0.086991935968399f, 0.007559171877801f, -0.086614266037941f, + 0.007492884527892f, -0.086236543953419f, 0.007426886819303f, -0.085858769714832f, + 0.007361178752035f, -0.085480943322182f, 0.007295760791749f, -0.085103072226048f, + 0.007230632472783f, -0.084725148975849f, 0.007165793795139f, -0.084347173571587f, + 0.007101245224476f, -0.083969146013260f, 0.007036986760795f, -0.083591073751450f, + 0.006973018404096f, -0.083212949335575f, 0.006909339688718f, -0.082834780216217f, + 0.006845951545984f, -0.082456558942795f, 0.006782853044569f, -0.082078292965889f, + 0.006720044650137f, -0.081699974834919f, 0.006657526828349f, -0.081321612000465f, + 0.006595299113542f, -0.080943197011948f, 0.006533361505717f, -0.080564737319946f, + 0.006471714470536f, -0.080186225473881f, 0.006410357542336f, -0.079807676374912f, + 0.006349290721118f, -0.079429075121880f, 0.006288514938205f, -0.079050421714783f, + 0.006228029262275f, -0.078671731054783f, 0.006167833693326f, -0.078292988240719f, + 0.006107929162681f, -0.077914200723171f, 0.006048315204680f, -0.077535368502140f, + 0.005988991353661f, -0.077156484127045f, 0.005929958540946f, -0.076777562499046f, + 0.005871216300875f, -0.076398596167564f, 0.005812764633447f, -0.076019577682018f, + 0.005754603538662f, -0.075640521943569f, 0.005696733482182f, -0.075261414051056f, + 0.005639153998345f, -0.074882268905640f, 0.005581865552813f, -0.074503071606159f, + 0.005524867679924f, -0.074123837053776f, 0.005468160845339f, -0.073744557797909f, + 0.005411745049059f, -0.073365233838558f, 0.005355620291084f, -0.072985872626305f, + 0.005299786105752f, -0.072606459259987f, 0.005244242958724f, -0.072227008640766f, + 0.005188991315663f, -0.071847513318062f, 0.005134030245245f, -0.071467980742455f, + 0.005079360678792f, -0.071088403463364f, 0.005024982150644f, -0.070708781480789f, + 0.004970894660801f, -0.070329122245312f, 0.004917098674923f, -0.069949418306351f, + 0.004863593727350f, -0.069569669663906f, 0.004810380283743f, -0.069189883768559f, + 0.004757457878441f, -0.068810060620308f, 0.004704826977104f, -0.068430192768574f, + 0.004652487114072f, -0.068050287663937f, 0.004600439220667f, -0.067670337855816f, + 0.004548682365566f, -0.067290350794792f, 0.004497217014432f, -0.066910326480865f, + 0.004446043167263f, -0.066530264914036f, 0.004395160824060f, -0.066150158643723f, + 0.004344569984823f, -0.065770015120506f, 0.004294271115214f, -0.065389834344387f, + 0.004244263283908f, -0.065009608864784f, 0.004194547422230f, -0.064629353582859f, + 0.004145123064518f, -0.064249053597450f, 0.004095990676433f, -0.063868723809719f, + 0.004047149792314f, -0.063488349318504f, 0.003998600877821f, -0.063107937574387f, + 0.003950343467295f, -0.062727488577366f, 0.003902378026396f, -0.062347009778023f, + 0.003854704322293f, -0.061966486275196f, 0.003807322587818f, -0.061585929244757f, + 0.003760232590139f, -0.061205338686705f, 0.003713434794918f, -0.060824707150459f, + 0.003666928736493f, -0.060444042086601f, 0.003620714880526f, -0.060063343495131f, + 0.003574792761356f, -0.059682607650757f, 0.003529162844643f, -0.059301838278770f, + 0.003483824897557f, -0.058921031653881f, 0.003438779152930f, -0.058540191501379f, + 0.003394025377929f, -0.058159314095974f, 0.003349563805386f, -0.057778406888247f, + 0.003305394435301f, -0.057397462427616f, 0.003261517267674f, -0.057016488164663f, + 0.003217932302505f, -0.056635476648808f, 0.003174639539793f, -0.056254431605339f, + 0.003131638979539f, -0.055873356759548f, 0.003088930854574f, -0.055492244660854f, + 0.003046514932066f, -0.055111102759838f, 0.003004391444847f, -0.054729927331209f, + 0.002962560392916f, -0.054348722100258f, 0.002921021543443f, -0.053967483341694f, + 0.002879775362089f, -0.053586211055517f, 0.002838821383193f, -0.053204908967018f, + 0.002798160072416f, -0.052823577076197f, 0.002757790964097f, -0.052442211657763f, + 0.002717714523897f, -0.052060816437006f, 0.002677930751815f, -0.051679391413927f, + 0.002638439415023f, -0.051297932863235f, 0.002599240746349f, -0.050916448235512f, + 0.002560334512964f, -0.050534930080175f, 0.002521721180528f, -0.050153385847807f, + 0.002483400283381f, -0.049771808087826f, 0.002445372054353f, -0.049390204250813f, + 0.002407636726275f, -0.049008570611477f, 0.002370193833485f, -0.048626907169819f, + 0.002333043841645f, -0.048245213925838f, 0.002296186750755f, -0.047863494604826f, + 0.002259622327983f, -0.047481749206781f, 0.002223350573331f, -0.047099970281124f, + 0.002187371719629f, -0.046718169003725f, 0.002151685766876f, -0.046336337924004f, + 0.002116292715073f, -0.045954477041960f, 0.002081192564219f, -0.045572593808174f, + 0.002046385314316f, -0.045190680772066f, 0.002011870965362f, -0.044808741658926f, + 0.001977649517357f, -0.044426776468754f, 0.001943721086718f, -0.044044785201550f, + 0.001910085673444f, -0.043662767857313f, 0.001876743277535f, -0.043280724436045f, + 0.001843693898991f, -0.042898654937744f, 0.001810937537812f, -0.042516563087702f, + 0.001778474310413f, -0.042134445160627f, 0.001746304216795f, -0.041752301156521f, + 0.001714427140541f, -0.041370131075382f, 0.001682843198068f, -0.040987938642502f, + 0.001651552389376f, -0.040605723857880f, 0.001620554830879f, -0.040223482996225f, + 0.001589850406162f, -0.039841219782829f, 0.001559439115226f, -0.039458930492401f, + 0.001529321074486f, -0.039076622575521f, 0.001499496400356f, -0.038694288581610f, + 0.001469964860007f, -0.038311932235956f, 0.001440726569854f, -0.037929553538561f, + 0.001411781646311f, -0.037547148764133f, 0.001383129972965f, -0.037164725363255f, + 0.001354771666229f, -0.036782283335924f, 0.001326706726104f, -0.036399815231562f, + 0.001298935036175f, -0.036017324775457f, 0.001271456829272f, -0.035634815692902f, + 0.001244271872565f, -0.035252287983894f, 0.001217380515300f, -0.034869734197855f, + 0.001190782408230f, -0.034487165510654f, 0.001164477784187f, -0.034104570746422f, + 0.001138466643170f, -0.033721961081028f, 0.001112748985179f, -0.033339329063892f, + 0.001087324810214f, -0.032956674695015f, 0.001062194118276f, -0.032574005424976f, + 0.001037356909364f, -0.032191313803196f, 0.001012813183479f, -0.031808607280254f, + 0.000988563057035f, -0.031425878405571f, 0.000964606530033f, -0.031043132767081f, + 0.000940943544265f, -0.030660368502140f, 0.000917574157938f, -0.030277585610747f, + 0.000894498312846f, -0.029894785955548f, 0.000871716125403f, -0.029511967673898f, + 0.000849227537401f, -0.029129132628441f, 0.000827032607049f, -0.028746278956532f, + 0.000805131276138f, -0.028363410383463f, 0.000783523661084f, -0.027980525046587f, + 0.000762209703680f, -0.027597622945905f, 0.000741189462133f, -0.027214704081416f, + 0.000720462878235f, -0.026831768453121f, 0.000700030010194f, -0.026448817923665f, + 0.000679890916217f, -0.026065852493048f, 0.000660045538098f, -0.025682870298624f, + 0.000640493875835f, -0.025299875065684f, 0.000621235987637f, -0.024916863068938f, + 0.000602271873504f, -0.024533838033676f, 0.000583601591643f, -0.024150796234608f, + 0.000565225025639f, -0.023767741397023f, 0.000547142291907f, -0.023384673520923f, + 0.000529353390448f, -0.023001590743661f, 0.000511858321261f, -0.022618494927883f, + 0.000494657084346f, -0.022235386073589f, 0.000477749679703f, -0.021852264180779f, + 0.000461136136437f, -0.021469129249454f, 0.000444816454547f, -0.021085981279612f, + 0.000428790634032f, -0.020702820271254f, 0.000413058703998f, -0.020319648087025f, + 0.000397620693548f, -0.019936462864280f, 0.000382476573577f, -0.019553268328309f, + 0.000367626344087f, -0.019170060753822f, 0.000353070063284f, -0.018786842003465f, + 0.000338807702065f, -0.018403612077236f, 0.000324839289533f, -0.018020370975137f, + 0.000311164796585f, -0.017637118697166f, 0.000297784281429f, -0.017253857105970f, + 0.000284697714960f, -0.016870586201549f, 0.000271905126283f, -0.016487304121256f, + 0.000259406515397f, -0.016104012727737f, 0.000247201882303f, -0.015720712020993f, + 0.000235291256104f, -0.015337402001023f, 0.000223674607696f, -0.014954082667828f, + 0.000212351980736f, -0.014570754021406f, 0.000201323360670f, -0.014187417924404f, + 0.000190588747500f, -0.013804072514176f, 0.000180148170330f, -0.013420719653368f, + 0.000170001629158f, -0.013037359341979f, 0.000160149123985f, -0.012653990648687f, + 0.000150590654812f, -0.012270614504814f, 0.000141326236189f, -0.011887230910361f, + 0.000132355868118f, -0.011503840796649f, 0.000123679565149f, -0.011120444163680f, + 0.000115297327284f, -0.010737040080130f, 0.000107209154521f, -0.010353630408645f, + 0.000099415054137f, -0.009970214217901f, 0.000091915040684f, -0.009586792439222f, + 0.000084709099610f, -0.009203365072608f, 0.000077797252743f, -0.008819932118058f, + 0.000071179500083f, -0.008436493575573f, 0.000064855834353f, -0.008053051307797f, + 0.000058826273744f, -0.007669602986425f, 0.000053090810979f, -0.007286150939763f, + 0.000047649456974f, -0.006902694236487f, 0.000042502211727f, -0.006519233807921f, + 0.000037649078877f, -0.006135769188404f, 0.000033090062061f, -0.005752300843596f, + 0.000028825161280f, -0.005368829704821f, 0.000024854381991f, -0.004985354840755f, + 0.000021177724193f, -0.004601877182722f, 0.000017795191525f, -0.004218397196382f, + 0.000014706784896f, -0.003834914416075f, 0.000011912506125f, -0.003451429307461f, + 0.000009412358850f, -0.003067942336202f, 0.000007206342616f, -0.002684453502297f, + 0.000005294459243f, -0.002300963038579f, 0.000003676709639f, -0.001917471294291f, + 0.000002353095169f, -0.001533978385851f, 0.000001323616516f, -0.001150484546088f, + 0.000000588274133f, -0.000766990066040f, 0.000000147068562f, -0.000383495149435f, + 0.000000000000000f, -0.000000000000023f, 0.000000147068562f, 0.000383495149435f, + 0.000000588274133f, 0.000766990066040f, 0.000001323616516f, 0.001150484546088f, + 0.000002353095169f, 0.001533978385851f, 0.000003676709639f, 0.001917471294291f, + 0.000005294459243f, 0.002300963038579f, 0.000007206342616f, 0.002684453502297f, + 0.000009412358850f, 0.003067942336202f, 0.000011912506125f, 0.003451429307461f, + 0.000014706784896f, 0.003834914416075f, 0.000017795191525f, 0.004218397196382f, + 0.000021177724193f, 0.004601877182722f, 0.000024854381991f, 0.004985354840755f, + 0.000028825161280f, 0.005368829704821f, 0.000033090062061f, 0.005752300843596f, + 0.000037649078877f, 0.006135769188404f, 0.000042502211727f, 0.006519233807921f, + 0.000047649456974f, 0.006902694236487f, 0.000053090810979f, 0.007286150939763f, + 0.000058826273744f, 0.007669602986425f, 0.000064855834353f, 0.008053051307797f, + 0.000071179500083f, 0.008436493575573f, 0.000077797252743f, 0.008819932118058f, + 0.000084709099610f, 0.009203365072608f, 0.000091915040684f, 0.009586792439222f, + 0.000099415054137f, 0.009970214217901f, 0.000107209154521f, 0.010353630408645f, + 0.000115297327284f, 0.010737040080130f, 0.000123679565149f, 0.011120444163680f, + 0.000132355868118f, 0.011503840796649f, 0.000141326236189f, 0.011887230910361f, + 0.000150590654812f, 0.012270614504814f, 0.000160149123985f, 0.012653990648687f, + 0.000170001629158f, 0.013037359341979f, 0.000180148170330f, 0.013420719653368f, + 0.000190588747500f, 0.013804072514176f, 0.000201323360670f, 0.014187417924404f, + 0.000212351980736f, 0.014570754021406f, 0.000223674607696f, 0.014954082667828f, + 0.000235291256104f, 0.015337402001023f, 0.000247201882303f, 0.015720712020993f, + 0.000259406515397f, 0.016104012727737f, 0.000271905126283f, 0.016487304121256f, + 0.000284697714960f, 0.016870586201549f, 0.000297784281429f, 0.017253857105970f, + 0.000311164796585f, 0.017637118697166f, 0.000324839289533f, 0.018020370975137f, + 0.000338807702065f, 0.018403612077236f, 0.000353070063284f, 0.018786842003465f, + 0.000367626344087f, 0.019170060753822f, 0.000382476573577f, 0.019553268328309f, + 0.000397620693548f, 0.019936462864280f, 0.000413058703998f, 0.020319648087025f, + 0.000428790634032f, 0.020702820271254f, 0.000444816454547f, 0.021085981279612f, + 0.000461136136437f, 0.021469129249454f, 0.000477749679703f, 0.021852264180779f, + 0.000494657084346f, 0.022235386073589f, 0.000511858321261f, 0.022618494927883f, + 0.000529353390448f, 0.023001590743661f, 0.000547142291907f, 0.023384673520923f, + 0.000565225025639f, 0.023767741397023f, 0.000583601591643f, 0.024150796234608f, + 0.000602271873504f, 0.024533838033676f, 0.000621235987637f, 0.024916863068938f, + 0.000640493875835f, 0.025299875065684f, 0.000660045538098f, 0.025682870298624f, + 0.000679890916217f, 0.026065852493048f, 0.000700030010194f, 0.026448817923665f, + 0.000720462878235f, 0.026831768453121f, 0.000741189462133f, 0.027214704081416f, + 0.000762209703680f, 0.027597622945905f, 0.000783523661084f, 0.027980525046587f, + 0.000805131276138f, 0.028363410383463f, 0.000827032607049f, 0.028746278956532f, + 0.000849227537401f, 0.029129132628441f, 0.000871716125403f, 0.029511967673898f, + 0.000894498312846f, 0.029894785955548f, 0.000917574157938f, 0.030277585610747f, + 0.000940943544265f, 0.030660368502140f, 0.000964606530033f, 0.031043132767081f, + 0.000988563057035f, 0.031425878405571f, 0.001012813183479f, 0.031808607280254f, + 0.001037356909364f, 0.032191313803196f, 0.001062194118276f, 0.032574005424976f, + 0.001087324810214f, 0.032956674695015f, 0.001112748985179f, 0.033339329063892f, + 0.001138466643170f, 0.033721961081028f, 0.001164477784187f, 0.034104570746422f, + 0.001190782408230f, 0.034487165510654f, 0.001217380515300f, 0.034869734197855f, + 0.001244271872565f, 0.035252287983894f, 0.001271456829272f, 0.035634815692902f, + 0.001298935036175f, 0.036017324775457f, 0.001326706726104f, 0.036399815231562f, + 0.001354771666229f, 0.036782283335924f, 0.001383129972965f, 0.037164725363255f, + 0.001411781646311f, 0.037547148764133f, 0.001440726569854f, 0.037929553538561f, + 0.001469964860007f, 0.038311932235956f, 0.001499496400356f, 0.038694288581610f, + 0.001529321074486f, 0.039076622575521f, 0.001559439115226f, 0.039458930492401f, + 0.001589850406162f, 0.039841219782829f, 0.001620554830879f, 0.040223482996225f, + 0.001651552389376f, 0.040605723857880f, 0.001682843198068f, 0.040987938642502f, + 0.001714427140541f, 0.041370131075382f, 0.001746304216795f, 0.041752301156521f, + 0.001778474310413f, 0.042134445160627f, 0.001810937537812f, 0.042516563087702f, + 0.001843693898991f, 0.042898654937744f, 0.001876743277535f, 0.043280724436045f, + 0.001910085673444f, 0.043662767857313f, 0.001943721086718f, 0.044044785201550f, + 0.001977649517357f, 0.044426776468754f, 0.002011870965362f, 0.044808741658926f, + 0.002046385314316f, 0.045190680772066f, 0.002081192564219f, 0.045572593808174f, + 0.002116292715073f, 0.045954477041960f, 0.002151685766876f, 0.046336337924004f, + 0.002187371719629f, 0.046718169003725f, 0.002223350573331f, 0.047099970281124f, + 0.002259622327983f, 0.047481749206781f, 0.002296186750755f, 0.047863494604826f, + 0.002333043841645f, 0.048245213925838f, 0.002370193833485f, 0.048626907169819f, + 0.002407636726275f, 0.049008570611477f, 0.002445372054353f, 0.049390204250813f, + 0.002483400283381f, 0.049771808087826f, 0.002521721180528f, 0.050153385847807f, + 0.002560334512964f, 0.050534930080175f, 0.002599240746349f, 0.050916448235512f, + 0.002638439415023f, 0.051297932863235f, 0.002677930751815f, 0.051679391413927f, + 0.002717714523897f, 0.052060816437006f, 0.002757790964097f, 0.052442211657763f, + 0.002798160072416f, 0.052823577076197f, 0.002838821383193f, 0.053204908967018f, + 0.002879775362089f, 0.053586211055517f, 0.002921021543443f, 0.053967483341694f, + 0.002962560392916f, 0.054348722100258f, 0.003004391444847f, 0.054729927331209f, + 0.003046514932066f, 0.055111102759838f, 0.003088930854574f, 0.055492244660854f, + 0.003131638979539f, 0.055873356759548f, 0.003174639539793f, 0.056254431605339f, + 0.003217932302505f, 0.056635476648808f, 0.003261517267674f, 0.057016488164663f, + 0.003305394435301f, 0.057397462427616f, 0.003349563805386f, 0.057778406888247f, + 0.003394025377929f, 0.058159314095974f, 0.003438779152930f, 0.058540191501379f, + 0.003483824897557f, 0.058921031653881f, 0.003529162844643f, 0.059301838278770f, + 0.003574792761356f, 0.059682607650757f, 0.003620714880526f, 0.060063343495131f, + 0.003666928736493f, 0.060444042086601f, 0.003713434794918f, 0.060824707150459f, + 0.003760232590139f, 0.061205338686705f, 0.003807322587818f, 0.061585929244757f, + 0.003854704322293f, 0.061966486275196f, 0.003902378026396f, 0.062347009778023f, + 0.003950343467295f, 0.062727488577366f, 0.003998600877821f, 0.063107937574387f, + 0.004047149792314f, 0.063488349318504f, 0.004095990676433f, 0.063868723809719f, + 0.004145123064518f, 0.064249053597450f, 0.004194547422230f, 0.064629353582859f, + 0.004244263283908f, 0.065009608864784f, 0.004294271115214f, 0.065389834344387f, + 0.004344569984823f, 0.065770015120506f, 0.004395160824060f, 0.066150158643723f, + 0.004446043167263f, 0.066530264914036f, 0.004497217014432f, 0.066910326480865f, + 0.004548682365566f, 0.067290350794792f, 0.004600439220667f, 0.067670337855816f, + 0.004652487114072f, 0.068050287663937f, 0.004704826977104f, 0.068430192768574f, + 0.004757457878441f, 0.068810060620308f, 0.004810380283743f, 0.069189883768559f, + 0.004863593727350f, 0.069569669663906f, 0.004917098674923f, 0.069949418306351f, + 0.004970894660801f, 0.070329122245312f, 0.005024982150644f, 0.070708781480789f, + 0.005079360678792f, 0.071088403463364f, 0.005134030245245f, 0.071467980742455f, + 0.005188991315663f, 0.071847513318062f, 0.005244242958724f, 0.072227008640766f, + 0.005299786105752f, 0.072606459259987f, 0.005355620291084f, 0.072985872626305f, + 0.005411745049059f, 0.073365233838558f, 0.005468160845339f, 0.073744557797909f, + 0.005524867679924f, 0.074123837053776f, 0.005581865552813f, 0.074503071606159f, + 0.005639153998345f, 0.074882268905640f, 0.005696733482182f, 0.075261414051056f, + 0.005754603538662f, 0.075640521943569f, 0.005812764633447f, 0.076019577682018f, + 0.005871216300875f, 0.076398596167564f, 0.005929958540946f, 0.076777562499046f, + 0.005988991353661f, 0.077156484127045f, 0.006048315204680f, 0.077535368502140f, + 0.006107929162681f, 0.077914200723171f, 0.006167833693326f, 0.078292988240719f, + 0.006228029262275f, 0.078671731054783f, 0.006288514938205f, 0.079050421714783f, + 0.006349290721118f, 0.079429075121880f, 0.006410357542336f, 0.079807676374912f, + 0.006471714470536f, 0.080186225473881f, 0.006533361505717f, 0.080564737319946f, + 0.006595299113542f, 0.080943197011948f, 0.006657526828349f, 0.081321612000465f, + 0.006720044650137f, 0.081699974834919f, 0.006782853044569f, 0.082078292965889f, + 0.006845951545984f, 0.082456558942795f, 0.006909339688718f, 0.082834780216217f, + 0.006973018404096f, 0.083212949335575f, 0.007036986760795f, 0.083591073751450f, + 0.007101245224476f, 0.083969146013260f, 0.007165793795139f, 0.084347173571587f, + 0.007230632472783f, 0.084725148975849f, 0.007295760791749f, 0.085103072226048f, + 0.007361178752035f, 0.085480943322182f, 0.007426886819303f, 0.085858769714832f, + 0.007492884527892f, 0.086236543953419f, 0.007559171877801f, 0.086614266037941f, + 0.007625748869032f, 0.086991935968399f, 0.007692615967244f, 0.087369553744793f, + 0.007759772241116f, 0.087747126817703f, 0.007827218621969f, 0.088124647736549f, + 0.007894953712821f, 0.088502109050751f, 0.007962978444993f, 0.088879525661469f, + 0.008031292818487f, 0.089256882667542f, 0.008099896833301f, 0.089634194970131f, + 0.008168790489435f, 0.090011447668076f, 0.008237972855568f, 0.090388655662537f, + 0.008307444863021f, 0.090765804052353f, 0.008377205580473f, 0.091142900288105f, + 0.008447255939245f, 0.091519944369793f, 0.008517595939338f, 0.091896936297417f, + 0.008588224649429f, 0.092273868620396f, 0.008659142069519f, 0.092650748789310f, + 0.008730349130929f, 0.093027576804161f, 0.008801844902337f, 0.093404345214367f, + 0.008873629383743f, 0.093781061470509f, 0.008945702575147f, 0.094157725572586f, + 0.009018065407872f, 0.094534330070019f, 0.009090716950595f, 0.094910882413387f, + 0.009163657203317f, 0.095287375152111f, 0.009236886166036f, 0.095663815736771f, + 0.009310402907431f, 0.096040196716785f, 0.009384209290147f, 0.096416525542736f, + 0.009458304382861f, 0.096792794764042f, 0.009532688185573f, 0.097169004380703f, + 0.009607359766960f, 0.097545161843300f, 0.009682320058346f, 0.097921259701252f, + 0.009757569059730f, 0.098297297954559f, 0.009833106771111f, 0.098673284053802f, + 0.009908932261169f, 0.099049203097820f, 0.009985045529902f, 0.099425069987774f, + 0.010061448439956f, 0.099800877273083f, 0.010138138197362f, 0.100176624953747f, + 0.010215117596090f, 0.100552320480347f, 0.010292383842170f, 0.100927948951721f, + 0.010369938798249f, 0.101303517818451f, 0.010447781533003f, 0.101679034531116f, + 0.010525912046432f, 0.102054484188557f, 0.010604331269860f, 0.102429874241352f, + 0.010683037340641f, 0.102805204689503f, 0.010762032121420f, 0.103180475533009f, + 0.010841314680874f, 0.103555686771870f, 0.010920885019004f, 0.103930838406086f, + 0.011000742204487f, 0.104305922985077f, 0.011080888099968f, 0.104680955410004f, + 0.011161320842803f, 0.105055920779705f, 0.011242041364312f, 0.105430819094181f, + 0.011323049664497f, 0.105805665254593f, 0.011404345743358f, 0.106180444359779f, + 0.011485928669572f, 0.106555156409740f, 0.011567799374461f, 0.106929816305637f, + 0.011649956926703f, 0.107304409146309f, 0.011732402257621f, 0.107678934931755f, + 0.011815134435892f, 0.108053401112556f, 0.011898153461516f, 0.108427800238132f, + 0.011981460265815f, 0.108802139759064f, 0.012065053917468f, 0.109176412224770f, + 0.012148935347795f, 0.109550617635250f, 0.012233102694154f, 0.109924763441086f, + 0.012317557819188f, 0.110298842191696f, 0.012402298860252f, 0.110672861337662f, + 0.012487327679992f, 0.111046813428402f, 0.012572642415762f, 0.111420698463917f, + 0.012658244930208f, 0.111794516444206f, 0.012744133360684f, 0.112168267369270f, + 0.012830308638513f, 0.112541958689690f, 0.012916770763695f, 0.112915575504303f, + 0.013003518804908f, 0.113289132714272f, 0.013090553693473f, 0.113662622869015f, + 0.013177875429392f, 0.114036038517952f, 0.013265483081341f, 0.114409394562244f, + 0.013353376649320f, 0.114782683551311f, 0.013441557064652f, 0.115155905485153f, + 0.013530024327338f, 0.115529052913189f, 0.013618776574731f, 0.115902140736580f, + 0.013707815669477f, 0.116275154054165f, 0.013797140680254f, 0.116648100316525f, + 0.013886751607060f, 0.117020979523659f, 0.013976648449898f, 0.117393791675568f, + 0.014066831208766f, 0.117766529321671f, 0.014157299883664f, 0.118139199912548f, + 0.014248054474592f, 0.118511803448200f, 0.014339094981551f, 0.118884332478046f, + 0.014430420473218f, 0.119256794452667f, 0.014522032812238f, 0.119629189372063f, + 0.014613929204643f, 0.120001509785652f, 0.014706112444401f, 0.120373763144016f, + 0.014798580668867f, 0.120745941996574f, 0.014891333878040f, 0.121118053793907f, + 0.014984373003244f, 0.121490091085434f, 0.015077698044479f, 0.121862053871155f, + 0.015171307139099f, 0.122233949601650f, 0.015265202149749f, 0.122605770826340f, + 0.015359382145107f, 0.122977524995804f, 0.015453847125173f, 0.123349204659462f, + 0.015548598021269f, 0.123720809817314f, 0.015643632039428f, 0.124092340469360f, + 0.015738952904940f, 0.124463804066181f, 0.015834558755159f, 0.124835193157196f, + 0.015930447727442f, 0.125206500291824f, 0.016026621684432f, 0.125577747821808f, + 0.016123080626130f, 0.125948905944824f, 0.016219824552536f, 0.126320004463196f, + 0.016316853463650f, 0.126691013574600f, 0.016414167359471f, 0.127061963081360f, + 0.016511764377356f, 0.127432823181152f, 0.016609646379948f, 0.127803623676300f, + 0.016707813367248f, 0.128174334764481f, 0.016806263476610f, 0.128544986248016f, + 0.016904998570681f, 0.128915548324585f, 0.017004016786814f, 0.129286035895348f, + 0.017103319987655f, 0.129656463861465f, 0.017202908173203f, 0.130026802420616f, + 0.017302779480815f, 0.130397051572800f, 0.017402933910489f, 0.130767241120338f, + 0.017503373324871f, 0.131137356162071f, 0.017604095861316f, 0.131507381796837f, + 0.017705103382468f, 0.131877332925797f, 0.017806394025683f, 0.132247209548950f, + 0.017907967790961f, 0.132617011666298f, 0.018009826540947f, 0.132986739277840f, + 0.018111966550350f, 0.133356377482414f, 0.018214391544461f, 0.133725941181183f, + 0.018317099660635f, 0.134095430374146f, 0.018420090898871f, 0.134464830160141f, + 0.018523367121816f, 0.134834155440331f, 0.018626924604177f, 0.135203406214714f, + 0.018730765208602f, 0.135572582483292f, 0.018834890797734f, 0.135941669344902f, + 0.018939297646284f, 0.136310681700706f, 0.019043987616897f, 0.136679604649544f, + 0.019148962572217f, 0.137048453092575f, 0.019254218786955f, 0.137417227029800f, + 0.019359756261110f, 0.137785911560059f, 0.019465578719974f, 0.138154521584511f, + 0.019571684300900f, 0.138523042201996f, 0.019678071141243f, 0.138891488313675f, + 0.019784741103649f, 0.139259845018387f, 0.019891692325473f, 0.139628127217293f, + 0.019998926669359f, 0.139996320009232f, 0.020106444135308f, 0.140364438295364f, + 0.020214242860675f, 0.140732467174530f, 0.020322324708104f, 0.141100421547890f, + 0.020430689677596f, 0.141468286514282f, 0.020539334043860f, 0.141836062073708f, + 0.020648263394833f, 0.142203763127327f, 0.020757472142577f, 0.142571389675140f, + 0.020866964012384f, 0.142938911914825f, 0.020976737141609f, 0.143306359648705f, + 0.021086793392897f, 0.143673732876778f, 0.021197130903602f, 0.144041016697884f, + 0.021307749673724f, 0.144408211112022f, 0.021418649703264f, 0.144775316119194f, + 0.021529832854867f, 0.145142331719399f, 0.021641295403242f, 0.145509272813797f, + 0.021753041073680f, 0.145876124501228f, 0.021865066140890f, 0.146242901682854f, + 0.021977374330163f, 0.146609574556351f, 0.022089963778853f, 0.146976172924042f, + 0.022202832624316f, 0.147342681884766f, 0.022315984591842f, 0.147709101438522f, + 0.022429415956140f, 0.148075446486473f, 0.022543128579855f, 0.148441687226295f, + 0.022657122462988f, 0.148807853460312f, 0.022771397605538f, 0.149173930287361f, + 0.022885952144861f, 0.149539917707443f, 0.023000787943602f, 0.149905815720558f, + 0.023115905001760f, 0.150271624326706f, 0.023231301456690f, 0.150637343525887f, + 0.023346979171038f, 0.151002973318100f, 0.023462938144803f, 0.151368513703346f, + 0.023579176515341f, 0.151733979582787f, 0.023695694282651f, 0.152099341154099f, + 0.023812493309379f, 0.152464613318443f, 0.023929571732879f, 0.152829796075821f, + 0.024046931415796f, 0.153194904327393f, 0.024164570495486f, 0.153559908270836f, + 0.024282488971949f, 0.153924822807312f, 0.024400688707829f, 0.154289647936821f, + 0.024519165977836f, 0.154654383659363f, 0.024637924507260f, 0.155019029974937f, + 0.024756962433457f, 0.155383571982384f, 0.024876279756427f, 0.155748039484024f, + 0.024995878338814f, 0.156112402677536f, 0.025115754455328f, 0.156476691365242f, + 0.025235909968615f, 0.156840875744820f, 0.025356344878674f, 0.157204970717430f, + 0.025477059185505f, 0.157568961381912f, 0.025598052889109f, 0.157932877540588f, + 0.025719324126840f, 0.158296689391136f, 0.025840876623988f, 0.158660411834717f, + 0.025962706655264f, 0.159024044871330f, 0.026084816083312f, 0.159387573599815f, + 0.026207204908133f, 0.159751012921333f, 0.026329871267080f, 0.160114362835884f, + 0.026452817022800f, 0.160477623343468f, 0.026576040312648f, 0.160840779542923f, + 0.026699542999268f, 0.161203846335411f, 0.026823325082660f, 0.161566808819771f, + 0.026947384700179f, 0.161929681897163f, 0.027071721851826f, 0.162292465567589f, + 0.027196336537600f, 0.162655144929886f, 0.027321230620146f, 0.163017734885216f, + 0.027446404099464f, 0.163380220532417f, 0.027571853250265f, 0.163742616772652f, + 0.027697581797838f, 0.164104923605919f, 0.027823587879539f, 0.164467126131058f, + 0.027949871495366f, 0.164829224348068f, 0.028076432645321f, 0.165191248059273f, + 0.028203271329403f, 0.165553152561188f, 0.028330387547612f, 0.165914967656136f, + 0.028457781299949f, 0.166276678442955f, 0.028585452586412f, 0.166638299822807f, + 0.028713401407003f, 0.166999831795692f, 0.028841627761722f, 0.167361244559288f, + 0.028970129787922f, 0.167722567915916f, 0.029098909348249f, 0.168083801865578f, + 0.029227968305349f, 0.168444931507111f, 0.029357301071286f, 0.168805956840515f, + 0.029486913233995f, 0.169166877865791f, 0.029616801068187f, 0.169527709484100f, + 0.029746964573860f, 0.169888436794281f, 0.029877405613661f, 0.170249074697495f, + 0.030008124187589f, 0.170609608292580f, 0.030139118432999f, 0.170970037579536f, + 0.030270388349891f, 0.171330362558365f, 0.030401935800910f, 0.171690583229065f, + 0.030533758923411f, 0.172050714492798f, 0.030665857717395f, 0.172410741448402f, + 0.030798232182860f, 0.172770664095879f, 0.030930884182453f, 0.173130482435226f, + 0.031063811853528f, 0.173490211367607f, 0.031197015196085f, 0.173849821090698f, + 0.031330492347479f, 0.174209341406822f, 0.031464248895645f, 0.174568757414818f, + 0.031598277390003f, 0.174928069114685f, 0.031732585281134f, 0.175287276506424f, + 0.031867165118456f, 0.175646379590034f, 0.032002024352551f, 0.176005378365517f, + 0.032137155532837f, 0.176364272832870f, 0.032272562384605f, 0.176723077893257f, + 0.032408244907856f, 0.177081763744354f, 0.032544203102589f, 0.177440345287323f, + 0.032680433243513f, 0.177798837423325f, 0.032816942781210f, 0.178157210350037f, + 0.032953724265099f, 0.178515478968620f, 0.033090781420469f, 0.178873643279076f, + 0.033228114247322f, 0.179231703281403f, 0.033365719020367f, 0.179589673876762f, + 0.033503599464893f, 0.179947525262833f, 0.033641755580902f, 0.180305257439613f, + 0.033780183643103f, 0.180662900209427f, 0.033918887376785f, 0.181020438671112f, + 0.034057866781950f, 0.181377857923508f, 0.034197118133307f, 0.181735187768936f, + 0.034336645156145f, 0.182092398405075f, 0.034476444125175f, 0.182449504733086f, + 0.034616518765688f, 0.182806491851807f, 0.034756865352392f, 0.183163389563560f, + 0.034897487610579f, 0.183520168066025f, 0.035038381814957f, 0.183876842260361f, + 0.035179551690817f, 0.184233412146568f, 0.035320993512869f, 0.184589877724648f, + 0.035462711006403f, 0.184946224093437f, 0.035604696720839f, 0.185302466154099f, + 0.035746958106756f, 0.185658603906631f, 0.035889495164156f, 0.186014622449875f, + 0.036032304167747f, 0.186370536684990f, 0.036175385117531f, 0.186726331710815f, + 0.036318738013506f, 0.187082037329674f, 0.036462362855673f, 0.187437608838081f, + 0.036606263369322f, 0.187793090939522f, 0.036750435829163f, 0.188148453831673f, + 0.036894880235195f, 0.188503712415695f, 0.037039596587420f, 0.188858851790428f, + 0.037184584885836f, 0.189213871955872f, 0.037329845130444f, 0.189568802714348f, + 0.037475381046534f, 0.189923599362373f, 0.037621185183525f, 0.190278306603432f, + 0.037767261266708f, 0.190632879734039f, 0.037913613021374f, 0.190987363457680f, + 0.038060232996941f, 0.191341713070869f, 0.038207128643990f, 0.191695958375931f, + 0.038354292511940f, 0.192050099372864f, 0.038501728326082f, 0.192404121160507f, + 0.038649436086416f, 0.192758023738861f, 0.038797415792942f, 0.193111822009087f, + 0.038945667445660f, 0.193465501070023f, 0.039094187319279f, 0.193819075822830f, + 0.039242979139090f, 0.194172516465187f, 0.039392042905092f, 0.194525867700577f, + 0.039541378617287f, 0.194879084825516f, 0.039690986275673f, 0.195232197642326f, + 0.039840862154961f, 0.195585191249847f, 0.039991009980440f, 0.195938065648079f, + 0.040141426026821f, 0.196290835738182f, 0.040292114019394f, 0.196643486618996f, + 0.040443073958158f, 0.196996018290520f, 0.040594302117825f, 0.197348430752754f, + 0.040745802223682f, 0.197700738906860f, 0.040897574275732f, 0.198052927851677f, + 0.041049610823393f, 0.198404997587204f, 0.041201923042536f, 0.198756948113441f, + 0.041354499757290f, 0.199108779430389f, 0.041507352143526f, 0.199460506439209f, + 0.041660469025373f, 0.199812099337578f, 0.041813857853413f, 0.200163587927818f, + 0.041967518627644f, 0.200514942407608f, 0.042121443897486f, 0.200866192579269f, + 0.042275641113520f, 0.201217323541641f, 0.042430106550455f, 0.201568335294724f, + 0.042584843933582f, 0.201919227838516f, 0.042739849537611f, 0.202270001173019f, + 0.042895123362541f, 0.202620655298233f, 0.043050665408373f, 0.202971190214157f, + 0.043206475675106f, 0.203321605920792f, 0.043362557888031f, 0.203671902418137f, + 0.043518904596567f, 0.204022079706192f, 0.043675523251295f, 0.204372137784958f, + 0.043832406401634f, 0.204722076654434f, 0.043989561498165f, 0.205071896314621f, + 0.044146984815598f, 0.205421581864357f, 0.044304672628641f, 0.205771163105965f, + 0.044462632387877f, 0.206120610237122f, 0.044620860368013f, 0.206469938158989f, + 0.044779352843761f, 0.206819161772728f, 0.044938117265701f, 0.207168251276016f, + 0.045097146183252f, 0.207517206668854f, 0.045256443321705f, 0.207866057753563f, + 0.045416008681059f, 0.208214774727821f, 0.045575842261314f, 0.208563387393951f, + 0.045735940337181f, 0.208911851048470f, 0.045896306633949f, 0.209260210394859f, + 0.046056941151619f, 0.209608450531960f, 0.046217843890190f, 0.209956556558609f, + 0.046379011124372f, 0.210304543375969f, 0.046540446579456f, 0.210652396082878f, + 0.046702146530151f, 0.211000129580498f, 0.046864114701748f, 0.211347743868828f, + 0.047026351094246f, 0.211695238947868f, 0.047188851982355f, 0.212042599916458f, + 0.047351621091366f, 0.212389841675758f, 0.047514654695988f, 0.212736949324608f, + 0.047677956521511f, 0.213083937764168f, 0.047841522842646f, 0.213430806994438f, + 0.048005353659391f, 0.213777542114258f, 0.048169452697039f, 0.214124158024788f, + 0.048333816230297f, 0.214470639824867f, 0.048498444259167f, 0.214817002415657f, + 0.048663340508938f, 0.215163245797157f, 0.048828501254320f, 0.215509355068207f, + 0.048993926495314f, 0.215855330228806f, 0.049159619957209f, 0.216201186180115f, + 0.049325577914715f, 0.216546908020973f, 0.049491796642542f, 0.216892510652542f, + 0.049658283591270f, 0.217237979173660f, 0.049825038760900f, 0.217583328485489f, + 0.049992054700851f, 0.217928543686867f, 0.050159335136414f, 0.218273624777794f, + 0.050326880067587f, 0.218618586659431f, 0.050494693219662f, 0.218963414430618f, + 0.050662767142057f, 0.219308122992516f, 0.050831105560064f, 0.219652697443962f, + 0.050999708473682f, 0.219997137784958f, 0.051168579608202f, 0.220341444015503f, + 0.051337707787752f, 0.220685631036758f, 0.051507104188204f, 0.221029683947563f, + 0.051676765084267f, 0.221373617649078f, 0.051846686750650f, 0.221717402338982f, + 0.052016876637936f, 0.222061067819595f, 0.052187327295542f, 0.222404599189758f, + 0.052358038723469f, 0.222748011350632f, 0.052529018372297f, 0.223091274499893f, + 0.052700258791447f, 0.223434418439865f, 0.052871759980917f, 0.223777428269386f, + 0.053043525665998f, 0.224120303988457f, 0.053215555846691f, 0.224463045597076f, + 0.053387850522995f, 0.224805667996407f, 0.053560405969620f, 0.225148141384125f, + 0.053733222186565f, 0.225490495562553f, 0.053906302899122f, 0.225832715630531f, + 0.054079644382000f, 0.226174786686897f, 0.054253250360489f, 0.226516738533974f, + 0.054427117109299f, 0.226858556270599f, 0.054601248353720f, 0.227200239896774f, + 0.054775636643171f, 0.227541789412498f, 0.054950293153524f, 0.227883204817772f, + 0.055125206708908f, 0.228224486112595f, 0.055300384759903f, 0.228565633296967f, + 0.055475823581219f, 0.228906646370888f, 0.055651523172855f, 0.229247525334358f, + 0.055827483534813f, 0.229588270187378f, 0.056003704667091f, 0.229928880929947f, + 0.056180190294981f, 0.230269357562065f, 0.056356932967901f, 0.230609700083733f, + 0.056533940136433f, 0.230949893593788f, 0.056711208075285f, 0.231289967894554f, + 0.056888736784458f, 0.231629893183708f, 0.057066522538662f, 0.231969684362412f, + 0.057244572788477f, 0.232309341430664f, 0.057422880083323f, 0.232648864388466f, + 0.057601451873779f, 0.232988253235817f, 0.057780280709267f, 0.233327493071556f, + 0.057959370315075f, 0.233666598796844f, 0.058138720691204f, 0.234005570411682f, + 0.058318331837654f, 0.234344407916069f, 0.058498200029135f, 0.234683111310005f, + 0.058678328990936f, 0.235021665692329f, 0.058858718723059f, 0.235360085964203f, + 0.059039369225502f, 0.235698372125626f, 0.059220276772976f, 0.236036509275436f, + 0.059401445090771f, 0.236374512314796f, 0.059582870453596f, 0.236712381243706f, + 0.059764556586742f, 0.237050101161003f, 0.059946499764919f, 0.237387686967850f, + 0.060128703713417f, 0.237725138664246f, 0.060311164706945f, 0.238062441349030f, + 0.060493886470795f, 0.238399609923363f, 0.060676865279675f, 0.238736644387245f, + 0.060860104858875f, 0.239073529839516f, 0.061043601483107f, 0.239410281181335f, + 0.061227355152369f, 0.239746883511543f, 0.061411365866661f, 0.240083336830139f, + 0.061595637351274f, 0.240419670939446f, 0.061780165880919f, 0.240755841135979f, + 0.061964951455593f, 0.241091892123222f, 0.062149997800589f, 0.241427779197693f, + 0.062335297465324f, 0.241763532161713f, 0.062520854175091f, 0.242099151015282f, + 0.062706671655178f, 0.242434620857239f, 0.062892749905586f, 0.242769956588745f, + 0.063079081475735f, 0.243105143308640f, 0.063265666365623f, 0.243440181016922f, + 0.063452512025833f, 0.243775084614754f, 0.063639611005783f, 0.244109839200974f, + 0.063826970756054f, 0.244444444775581f, 0.064014583826065f, 0.244778916239738f, + 0.064202457666397f, 0.245113238692284f, 0.064390584826469f, 0.245447427034378f, + 0.064578965306282f, 0.245781451463699f, 0.064767606556416f, 0.246115356683731f, + 0.064956501126289f, 0.246449097990990f, 0.065145656466484f, 0.246782705187798f, + 0.065335065126419f, 0.247116148471832f, 0.065524727106094f, 0.247449472546577f, + 0.065714649856091f, 0.247782632708550f, 0.065904818475246f, 0.248115643858910f, + 0.066095255315304f, 0.248448520898819f, 0.066285938024521f, 0.248781248927116f, + 0.066476874053478f, 0.249113827943802f, 0.066668070852757f, 0.249446272850037f, + 0.066859520971775f, 0.249778553843498f, 0.067051224410534f, 0.250110685825348f, + 0.067243188619614f, 0.250442683696747f, 0.067435398697853f, 0.250774532556534f, + 0.067627869546413f, 0.251106232404709f, 0.067820593714714f, 0.251437783241272f, + 0.068013571202755f, 0.251769185066223f, 0.068206802010536f, 0.252100437879562f, + 0.068400286138058f, 0.252431541681290f, 0.068594031035900f, 0.252762526273727f, + 0.068788021802902f, 0.253093332052231f, 0.068982265889645f, 0.253423988819122f, + 0.069176770746708f, 0.253754496574402f, 0.069371521472931f, 0.254084855318069f, + 0.069566532969475f, 0.254415065050125f, 0.069761790335178f, 0.254745125770569f, + 0.069957308471203f, 0.255075037479401f, 0.070153072476387f, 0.255404800176620f, + 0.070349089801311f, 0.255734413862228f, 0.070545360445976f, 0.256063878536224f, + 0.070741884410381f, 0.256393194198608f, 0.070938661694527f, 0.256722360849380f, + 0.071135692298412f, 0.257051378488541f, 0.071332976222038f, 0.257380217313766f, + 0.071530513465405f, 0.257708936929703f, 0.071728296577930f, 0.258037507534027f, + 0.071926333010197f, 0.258365899324417f, 0.072124622762203f, 0.258694142103195f, + 0.072323165833950f, 0.259022265672684f, 0.072521962225437f, 0.259350210428238f, + 0.072721004486084f, 0.259678006172180f, 0.072920300066471f, 0.260005623102188f, + 0.073119848966599f, 0.260333120822906f, 0.073319651186466f, 0.260660469532013f, + 0.073519699275494f, 0.260987639427185f, 0.073720000684261f, 0.261314690113068f, + 0.073920547962189f, 0.261641561985016f, 0.074121348559856f, 0.261968284845352f, + 0.074322402477264f, 0.262294828891754f, 0.074523709714413f, 0.262621253728867f, + 0.074725262820721f, 0.262947499752045f, 0.074927061796188f, 0.263273626565933f, + 0.075129114091396f, 0.263599574565887f, 0.075331419706345f, 0.263925373554230f, + 0.075533971190453f, 0.264250993728638f, 0.075736775994301f, 0.264576494693756f, + 0.075939826667309f, 0.264901816844940f, 0.076143130660057f, 0.265226989984512f, + 0.076346680521965f, 0.265552014112473f, 0.076550483703613f, 0.265876859426498f, + 0.076754532754421f, 0.266201555728912f, 0.076958827674389f, 0.266526103019714f, + 0.077163375914097f, 0.266850501298904f, 0.077368170022964f, 0.267174720764160f, + 0.077573217451572f, 0.267498821020126f, 0.077778510749340f, 0.267822742462158f, + 0.077984049916267f, 0.268146485090256f, 0.078189842402935f, 0.268470078706741f, + 0.078395880758762f, 0.268793523311615f, 0.078602164983749f, 0.269116818904877f, + 0.078808702528477f, 0.269439965486526f, 0.079015478491783f, 0.269762933254242f, + 0.079222507774830f, 0.270085722208023f, 0.079429790377617f, 0.270408391952515f, + 0.079637311398983f, 0.270730882883072f, 0.079845085740089f, 0.271053224802017f, + 0.080053105950356f, 0.271375387907028f, 0.080261372029781f, 0.271697402000427f, + 0.080469883978367f, 0.272019267082214f, 0.080678641796112f, 0.272340953350067f, + 0.080887645483017f, 0.272662490606308f, 0.081096902489662f, 0.272983878850937f, + 0.081306397914886f, 0.273305088281631f, 0.081516146659851f, 0.273626148700714f, + 0.081726133823395f, 0.273947030305862f, 0.081936374306679f, 0.274267762899399f, + 0.082146860659122f, 0.274588316679001f, 0.082357585430145f, 0.274908751249313f, + 0.082568563520908f, 0.275228977203369f, 0.082779780030251f, 0.275549083948135f, + 0.082991249859333f, 0.275868982076645f, 0.083202958106995f, 0.276188760995865f, + 0.083414919674397f, 0.276508361101151f, 0.083627119660378f, 0.276827782392502f, + 0.083839565515518f, 0.277147054672241f, 0.084052257239819f, 0.277466177940369f, + 0.084265194833279f, 0.277785122394562f, 0.084478378295898f, 0.278103888034821f, + 0.084691800177097f, 0.278422504663467f, 0.084905467927456f, 0.278740972280502f, + 0.085119381546974f, 0.279059261083603f, 0.085333541035652f, 0.279377400875092f, + 0.085547938942909f, 0.279695361852646f, 0.085762590169907f, 0.280013144016266f, + 0.085977479815483f, 0.280330777168274f, 0.086192607879639f, 0.280648261308670f, + 0.086407989263535f, 0.280965566635132f, 0.086623609066010f, 0.281282693147659f, + 0.086839467287064f, 0.281599670648575f, 0.087055571377277f, 0.281916469335556f, + 0.087271921336651f, 0.282233119010925f, 0.087488517165184f, 0.282549589872360f, + 0.087705351412296f, 0.282865911722183f, 0.087922424077988f, 0.283182054758072f, + 0.088139742612839f, 0.283498018980026f, 0.088357307016850f, 0.283813834190369f, + 0.088575109839439f, 0.284129470586777f, 0.088793158531189f, 0.284444957971573f, + 0.089011445641518f, 0.284760266542435f, 0.089229971170425f, 0.285075396299362f, + 0.089448742568493f, 0.285390377044678f, 0.089667752385139f, 0.285705178976059f, + 0.089887008070946f, 0.286019802093506f, 0.090106502175331f, 0.286334276199341f, + 0.090326242148876f, 0.286648571491241f, 0.090546220541000f, 0.286962717771530f, + 0.090766437351704f, 0.287276685237885f, 0.090986892580986f, 0.287590473890305f, + 0.091207593679428f, 0.287904083728790f, 0.091428533196449f, 0.288217544555664f, + 0.091649711132050f, 0.288530826568604f, 0.091871134936810f, 0.288843959569931f, + 0.092092797160149f, 0.289156883955002f, 0.092314697802067f, 0.289469659328461f, + 0.092536836862564f, 0.289782285690308f, 0.092759214341640f, 0.290094703435898f, + 0.092981837689877f, 0.290406972169876f, 0.093204692006111f, 0.290719062089920f, + 0.093427792191505f, 0.291031002998352f, 0.093651130795479f, 0.291342735290527f, + 0.093874707818031f, 0.291654318571091f, 0.094098523259163f, 0.291965723037720f, + 0.094322577118874f, 0.292276978492737f, 0.094546869397163f, 0.292588025331497f, + 0.094771400094032f, 0.292898923158646f, 0.094996169209480f, 0.293209642171860f, + 0.095221176743507f, 0.293520182371140f, 0.095446422696114f, 0.293830573558807f, + 0.095671907067299f, 0.294140785932541f, 0.095897629857063f, 0.294450789690018f, + 0.096123591065407f, 0.294760644435883f, 0.096349790692329f, 0.295070350170136f, + 0.096576221287251f, 0.295379847288132f, 0.096802897751331f, 0.295689195394516f, + 0.097029805183411f, 0.295998334884644f, 0.097256951034069f, 0.296307325363159f, + 0.097484335303307f, 0.296616137027740f, 0.097711957991123f, 0.296924799680710f, + 0.097939811646938f, 0.297233253717422f, 0.098167903721333f, 0.297541528940201f, + 0.098396234214306f, 0.297849655151367f, 0.098624803125858f, 0.298157602548599f, + 0.098853603005409f, 0.298465341329575f, 0.099082641303539f, 0.298772931098938f, + 0.099311910569668f, 0.299080342054367f, 0.099541425704956f, 0.299387603998184f, + 0.099771171808243f, 0.299694657325745f, 0.100001148879528f, 0.300001531839371f, + 0.100231364369392f, 0.300308227539063f, 0.100461818277836f, 0.300614774227142f, + 0.100692503154278f, 0.300921112298965f, 0.100923426449299f, 0.301227301359177f, + 0.101154580712318f, 0.301533311605453f, 0.101385973393917f, 0.301839113235474f, + 0.101617597043514f, 0.302144765853882f, 0.101849451661110f, 0.302450239658356f, + 0.102081544697285f, 0.302755534648895f, 0.102313876152039f, 0.303060621023178f, + 0.102546438574791f, 0.303365558385849f, 0.102779231965542f, 0.303670316934586f, + 0.103012263774872f, 0.303974896669388f, 0.103245526552200f, 0.304279297590256f, + 0.103479020297527f, 0.304583519697189f, 0.103712752461433f, 0.304887533187866f, + 0.103946708142757f, 0.305191397666931f, 0.104180909693241f, 0.305495083332062f, + 0.104415334761143f, 0.305798590183258f, 0.104649998247623f, 0.306101888418198f, + 0.104884892702103f, 0.306405037641525f, 0.105120018124580f, 0.306708008050919f, + 0.105355374515057f, 0.307010769844055f, 0.105590961873531f, 0.307313382625580f, + 0.105826787650585f, 0.307615786790848f, 0.106062836945057f, 0.307918041944504f, + 0.106299124658108f, 0.308220088481903f, 0.106535643339157f, 0.308521956205368f, + 0.106772392988205f, 0.308823645114899f, 0.107009373605251f, 0.309125155210495f, + 0.107246585190296f, 0.309426486492157f, 0.107484027743340f, 0.309727638959885f, + 0.107721701264381f, 0.310028612613678f, 0.107959605753422f, 0.310329377651215f, + 0.108197741210461f, 0.310629993677139f, 0.108436107635498f, 0.310930401086807f, + 0.108674705028534f, 0.311230629682541f, 0.108913525938988f, 0.311530679464340f, + 0.109152585268021f, 0.311830550432205f, 0.109391868114471f, 0.312130242586136f, + 0.109631389379501f, 0.312429755926132f, 0.109871134161949f, 0.312729060649872f, + 0.110111102461815f, 0.313028186559677f, 0.110351309180260f, 0.313327133655548f, + 0.110591746866703f, 0.313625901937485f, 0.110832408070564f, 0.313924491405487f, + 0.111073300242424f, 0.314222872257233f, 0.111314415931702f, 0.314521104097366f, + 0.111555770039558f, 0.314819127321243f, 0.111797347664833f, 0.315116971731186f, + 0.112039148807526f, 0.315414607524872f, 0.112281180918217f, 0.315712094306946f, + 0.112523443996906f, 0.316009372472763f, 0.112765938043594f, 0.316306471824646f, + 0.113008655607700f, 0.316603392362595f, 0.113251596689224f, 0.316900104284287f, + 0.113494776189327f, 0.317196637392044f, 0.113738171756268f, 0.317492991685867f, + 0.113981798291206f, 0.317789167165756f, 0.114225655794144f, 0.318085134029388f, + 0.114469736814499f, 0.318380922079086f, 0.114714048802853f, 0.318676531314850f, + 0.114958584308624f, 0.318971961736679f, 0.115203343331814f, 0.319267183542252f, + 0.115448333323002f, 0.319562226533890f, 0.115693546831608f, 0.319857090711594f, + 0.115938983857632f, 0.320151746273041f, 0.116184651851654f, 0.320446223020554f, + 0.116430543363094f, 0.320740520954132f, 0.116676658391953f, 0.321034610271454f, + 0.116923004388809f, 0.321328520774841f, 0.117169573903084f, 0.321622252464294f, + 0.117416366934776f, 0.321915775537491f, 0.117663383483887f, 0.322209119796753f, + 0.117910631000996f, 0.322502255439758f, 0.118158094584942f, 0.322795242071152f, + 0.118405789136887f, 0.323088020086288f, 0.118653707206249f, 0.323380589485168f, + 0.118901848793030f, 0.323672980070114f, 0.119150213897228f, 0.323965191841125f, + 0.119398809969425f, 0.324257194995880f, 0.119647622108459f, 0.324549019336700f, + 0.119896657764912f, 0.324840664863586f, 0.120145916938782f, 0.325132101774216f, + 0.120395407080650f, 0.325423330068588f, 0.120645113289356f, 0.325714409351349f, + 0.120895043015480f, 0.326005280017853f, 0.121145196259022f, 0.326295942068100f, + 0.121395580470562f, 0.326586425304413f, 0.121646173298359f, 0.326876699924469f, + 0.121896997094154f, 0.327166795730591f, 0.122148044407368f, 0.327456712722778f, + 0.122399315237999f, 0.327746421098709f, 0.122650802135468f, 0.328035950660706f, + 0.122902512550354f, 0.328325271606445f, 0.123154446482658f, 0.328614413738251f, + 0.123406603932381f, 0.328903347253799f, 0.123658977448940f, 0.329192101955414f, + 0.123911574482918f, 0.329480648040771f, 0.124164395034313f, 0.329769015312195f, + 0.124417431652546f, 0.330057173967361f, 0.124670691788197f, 0.330345153808594f, + 0.124924175441265f, 0.330632925033569f, 0.125177875161171f, 0.330920487642288f, + 0.125431805849075f, 0.331207901239395f, 0.125685945153236f, 0.331495076417923f, + 0.125940307974815f, 0.331782072782516f, 0.126194894313812f, 0.332068890333176f, + 0.126449704170227f, 0.332355499267578f, 0.126704722642899f, 0.332641899585724f, + 0.126959964632988f, 0.332928121089935f, 0.127215430140495f, 0.333214133977890f, + 0.127471104264259f, 0.333499968051910f, 0.127727001905441f, 0.333785593509674f, + 0.127983123064041f, 0.334071010351181f, 0.128239467740059f, 0.334356248378754f, + 0.128496021032333f, 0.334641307592392f, 0.128752797842026f, 0.334926128387451f, + 0.129009798169136f, 0.335210770368576f, 0.129267007112503f, 0.335495233535767f, + 0.129524439573288f, 0.335779488086700f, 0.129782080650330f, 0.336063534021378f, + 0.130039945244789f, 0.336347371339798f, 0.130298033356667f, 0.336631029844284f, + 0.130556344985962f, 0.336914509534836f, 0.130814850330353f, 0.337197750806808f, + 0.131073594093323f, 0.337480813264847f, 0.131332546472549f, 0.337763696908951f, + 0.131591722369194f, 0.338046342134476f, 0.131851106882095f, 0.338328808546066f, + 0.132110700011253f, 0.338611096143723f, 0.132370531558990f, 0.338893145322800f, + 0.132630556821823f, 0.339175015687943f, 0.132890805602074f, 0.339456677436829f, + 0.133151277899742f, 0.339738160371780f, 0.133411958813667f, 0.340019434690475f, + 0.133672863245010f, 0.340300500392914f, 0.133933976292610f, 0.340581357479095f, + 0.134195312857628f, 0.340862035751343f, 0.134456858038902f, 0.341142505407333f, + 0.134718611836433f, 0.341422766447067f, 0.134980589151382f, 0.341702848672867f, + 0.135242775082588f, 0.341982692480087f, 0.135505184531212f, 0.342262357473373f, + 0.135767802596092f, 0.342541843652725f, 0.136030644178391f, 0.342821091413498f, + 0.136293679475784f, 0.343100160360336f, 0.136556953191757f, 0.343379020690918f, + 0.136820420622826f, 0.343657672405243f, 0.137084111571312f, 0.343936115503311f, + 0.137348011136055f, 0.344214379787445f, 0.137612134218216f, 0.344492435455322f, + 0.137876465916634f, 0.344770282506943f, 0.138141006231308f, 0.345047920942307f, + 0.138405755162239f, 0.345325350761414f, 0.138670727610588f, 0.345602601766586f, + 0.138935908675194f, 0.345879614353180f, 0.139201298356056f, 0.346156448125839f, + 0.139466896653175f, 0.346433073282242f, 0.139732718467712f, 0.346709519624710f, + 0.139998748898506f, 0.346985727548599f, 0.140264987945557f, 0.347261756658554f, + 0.140531435608864f, 0.347537547349930f, 0.140798106789589f, 0.347813159227371f, + 0.141064971685410f, 0.348088562488556f, 0.141332060098648f, 0.348363757133484f, + 0.141599357128143f, 0.348638743162155f, 0.141866862773895f, 0.348913550376892f, + 0.142134591937065f, 0.349188119173050f, 0.142402514815331f, 0.349462509155273f, + 0.142670661211014f, 0.349736660718918f, 0.142939001321793f, 0.350010633468628f, + 0.143207564949989f, 0.350284397602081f, 0.143476337194443f, 0.350557953119278f, + 0.143745318055153f, 0.350831300020218f, 0.144014507532120f, 0.351104438304901f, + 0.144283905625343f, 0.351377367973328f, 0.144553512334824f, 0.351650089025497f, + 0.144823327660561f, 0.351922631263733f, 0.145093351602554f, 0.352194935083389f, + 0.145363584160805f, 0.352467030286789f, 0.145634025335312f, 0.352738946676254f, + 0.145904675126076f, 0.353010624647141f, 0.146175548434258f, 0.353282123804092f, + 0.146446615457535f, 0.353553384542465f, 0.146717891097069f, 0.353824466466904f, + 0.146989375352860f, 0.354095309972763f, 0.147261068224907f, 0.354365974664688f, + 0.147532954812050f, 0.354636400938034f, 0.147805064916611f, 0.354906648397446f, + 0.148077383637428f, 0.355176687240601f, 0.148349896073341f, 0.355446487665176f, + 0.148622632026672f, 0.355716109275818f, 0.148895561695099f, 0.355985492467880f, + 0.149168699979782f, 0.356254696846008f, 0.149442046880722f, 0.356523662805557f, + 0.149715602397919f, 0.356792420148849f, 0.149989366531372f, 0.357060998678207f, + 0.150263324379921f, 0.357329338788986f, 0.150537505745888f, 0.357597470283508f, + 0.150811880826950f, 0.357865422964096f, 0.151086464524269f, 0.358133137226105f, + 0.151361241936684f, 0.358400642871857f, 0.151636242866516f, 0.358667939901352f, + 0.151911437511444f, 0.358935028314590f, 0.152186840772629f, 0.359201908111572f, + 0.152462437748909f, 0.359468549489975f, 0.152738258242607f, 0.359735012054443f, + 0.153014272451401f, 0.360001266002655f, 0.153290495276451f, 0.360267281532288f, + 0.153566911816597f, 0.360533088445663f, 0.153843536973000f, 0.360798716545105f, + 0.154120370745659f, 0.361064106225967f, 0.154397398233414f, 0.361329287290573f, + 0.154674649238586f, 0.361594229936600f, 0.154952079057693f, 0.361858993768692f, + 0.155229732394218f, 0.362123548984528f, 0.155507579445839f, 0.362387865781784f, + 0.155785620212555f, 0.362651973962784f, 0.156063869595528f, 0.362915903329849f, + 0.156342327594757f, 0.363179564476013f, 0.156620979309082f, 0.363443046808243f, + 0.156899839639664f, 0.363706320524216f, 0.157178908586502f, 0.363969355821610f, + 0.157458171248436f, 0.364232182502747f, 0.157737627625465f, 0.364494800567627f, + 0.158017292618752f, 0.364757210016251f, 0.158297166228294f, 0.365019410848618f, + 0.158577233552933f, 0.365281373262405f, 0.158857494592667f, 0.365543156862259f, + 0.159137964248657f, 0.365804702043533f, 0.159418627619743f, 0.366066008806229f, + 0.159699499607086f, 0.366327136754990f, 0.159980565309525f, 0.366588026285172f, + 0.160261839628220f, 0.366848707199097f, 0.160543307662010f, 0.367109179496765f, + 0.160824984312058f, 0.367369443178177f, 0.161106839776039f, 0.367629468441010f, + 0.161388918757439f, 0.367889285087585f, 0.161671176552773f, 0.368148893117905f, + 0.161953642964363f, 0.368408292531967f, 0.162236317992210f, 0.368667453527451f, + 0.162519171833992f, 0.368926405906677f, 0.162802234292030f, 0.369185149669647f, + 0.163085505366325f, 0.369443655014038f, 0.163368955254555f, 0.369701951742172f, + 0.163652613759041f, 0.369960039854050f, 0.163936465978622f, 0.370217919349670f, + 0.164220526814461f, 0.370475560426712f, 0.164504766464233f, 0.370732992887497f, + 0.164789214730263f, 0.370990216732025f, 0.165073871612549f, 0.371247202157974f, + 0.165358707308769f, 0.371503978967667f, 0.165643751621246f, 0.371760547161102f, + 0.165928974747658f, 0.372016876935959f, 0.166214406490326f, 0.372272998094559f, + 0.166500031948090f, 0.372528880834579f, 0.166785866022110f, 0.372784584760666f, + 0.167071878910065f, 0.373040050268173f, 0.167358100414276f, 0.373295277357101f, + 0.167644515633583f, 0.373550295829773f, 0.167931124567986f, 0.373805105686188f, + 0.168217927217484f, 0.374059677124023f, 0.168504923582077f, 0.374314039945602f, + 0.168792113661766f, 0.374568194150925f, 0.169079497456551f, 0.374822109937668f, + 0.169367074966431f, 0.375075817108154f, 0.169654861092567f, 0.375329315662384f, + 0.169942826032639f, 0.375582575798035f, 0.170230999588966f, 0.375835597515106f, + 0.170519351959229f, 0.376088410615921f, 0.170807912945747f, 0.376341015100479f, + 0.171096652746201f, 0.376593410968781f, 0.171385586261749f, 0.376845568418503f, + 0.171674728393555f, 0.377097487449646f, 0.171964049339294f, 0.377349197864532f, + 0.172253578901291f, 0.377600699663162f, 0.172543287277222f, 0.377851963043213f, + 0.172833189368248f, 0.378102988004684f, 0.173123285174370f, 0.378353834152222f, + 0.173413574695587f, 0.378604412078857f, 0.173704057931900f, 0.378854811191559f, + 0.173994734883308f, 0.379104942083359f, 0.174285605549812f, 0.379354894161224f, + 0.174576655030251f, 0.379604607820511f, 0.174867913126946f, 0.379854083061218f, + 0.175159350037575f, 0.380103349685669f, 0.175450980663300f, 0.380352377891541f, + 0.175742805004120f, 0.380601197481155f, 0.176034808158875f, 0.380849778652191f, + 0.176327019929886f, 0.381098151206970f, 0.176619410514832f, 0.381346285343170f, + 0.176911994814873f, 0.381594210863113f, 0.177204772830009f, 0.381841897964478f, + 0.177497729659081f, 0.382089376449585f, 0.177790880203247f, 0.382336616516113f, + 0.178084224462509f, 0.382583618164063f, 0.178377762436867f, 0.382830440998077f, + 0.178671479225159f, 0.383076995611191f, 0.178965389728546f, 0.383323341608047f, + 0.179259493947029f, 0.383569449186325f, 0.179553776979446f, 0.383815348148346f, + 0.179848253726959f, 0.384061008691788f, 0.180142924189568f, 0.384306460618973f, + 0.180437773466110f, 0.384551674127579f, 0.180732816457748f, 0.384796649217606f, + 0.181028053164482f, 0.385041415691376f, 0.181323468685150f, 0.385285943746567f, + 0.181619063019753f, 0.385530263185501f, 0.181914865970612f, 0.385774344205856f, + 0.182210832834244f, 0.386018186807632f, 0.182507008314133f, 0.386261820793152f, + 0.182803362607956f, 0.386505216360092f, 0.183099895715714f, 0.386748403310776f, + 0.183396622538567f, 0.386991351842880f, 0.183693528175354f, 0.387234061956406f, + 0.183990627527237f, 0.387476563453674f, 0.184287920594215f, 0.387718826532364f, + 0.184585392475128f, 0.387960851192474f, 0.184883043169975f, 0.388202667236328f, + 0.185180887579918f, 0.388444244861603f, 0.185478910803795f, 0.388685584068298f, + 0.185777112841606f, 0.388926714658737f, 0.186075508594513f, 0.389167606830597f, + 0.186374098062515f, 0.389408260583878f, 0.186672851443291f, 0.389648675918579f, + 0.186971798539162f, 0.389888882637024f, 0.187270939350128f, 0.390128880739212f, + 0.187570258975029f, 0.390368610620499f, 0.187869757413864f, 0.390608131885529f, + 0.188169434666634f, 0.390847414731979f, 0.188469305634499f, 0.391086459159851f, + 0.188769355416298f, 0.391325294971466f, 0.189069598913193f, 0.391563892364502f, + 0.189370006322861f, 0.391802251338959f, 0.189670607447624f, 0.392040401697159f, + 0.189971387386322f, 0.392278283834457f, 0.190272361040115f, 0.392515957355499f, + 0.190573498606682f, 0.392753422260284f, 0.190874829888344f, 0.392990618944168f, + 0.191176339983940f, 0.393227607011795f, 0.191478043794632f, 0.393464356660843f, + 0.191779911518097f, 0.393700867891312f, 0.192081972956657f, 0.393937170505524f, + 0.192384198307991f, 0.394173204898834f, 0.192686617374420f, 0.394409030675888f, + 0.192989215254784f, 0.394644618034363f, 0.193292006850243f, 0.394879996776581f, + 0.193594962358475f, 0.395115107297897f, 0.193898096680641f, 0.395350009202957f, + 0.194201424717903f, 0.395584672689438f, 0.194504916667938f, 0.395819097757339f, + 0.194808602333069f, 0.396053284406662f, 0.195112451910973f, 0.396287262439728f, + 0.195416495203972f, 0.396520972251892f, 0.195720717310905f, 0.396754473447800f, + 0.196025103330612f, 0.396987736225128f, 0.196329683065414f, 0.397220760583878f, + 0.196634441614151f, 0.397453576326370f, 0.196939364075661f, 0.397686123847961f, + 0.197244480252266f, 0.397918462753296f, 0.197549775242805f, 0.398150533437729f, + 0.197855234146118f, 0.398382395505905f, 0.198160871863365f, 0.398614019155502f, + 0.198466703295708f, 0.398845434188843f, 0.198772698640823f, 0.399076581001282f, + 0.199078872799873f, 0.399307489395142f, 0.199385225772858f, 0.399538189172745f, + 0.199691757559776f, 0.399768620729446f, 0.199998468160629f, 0.399998843669891f, + 0.200305357575417f, 0.400228828191757f, 0.200612410902977f, 0.400458574295044f, + 0.200919643044472f, 0.400688081979752f, 0.201227053999901f, 0.400917351245880f, + 0.201534643769264f, 0.401146411895752f, 0.201842412352562f, 0.401375204324722f, + 0.202150344848633f, 0.401603758335114f, 0.202458456158638f, 0.401832103729248f, + 0.202766746282578f, 0.402060180902481f, 0.203075215220451f, 0.402288049459457f, + 0.203383848071098f, 0.402515679597855f, 0.203692659735680f, 0.402743041515350f, + 0.204001650214195f, 0.402970194816589f, 0.204310819506645f, 0.403197109699249f, + 0.204620152711868f, 0.403423786163330f, 0.204929664731026f, 0.403650224208832f, + 0.205239340662956f, 0.403876423835754f, 0.205549195408821f, 0.404102355241776f, + 0.205859228968620f, 0.404328078031540f, 0.206169426441193f, 0.404553562402725f, + 0.206479802727699f, 0.404778808355331f, 0.206790357828140f, 0.405003815889359f, + 0.207101076841354f, 0.405228585004807f, 0.207411959767342f, 0.405453115701675f, + 0.207723021507263f, 0.405677437782288f, 0.208034262061119f, 0.405901491641998f, + 0.208345666527748f, 0.406125307083130f, 0.208657249808311f, 0.406348884105682f, + 0.208969011902809f, 0.406572192907333f, 0.209280923008919f, 0.406795293092728f, + 0.209593027830124f, 0.407018154859543f, 0.209905281662941f, 0.407240778207779f, + 0.210217714309692f, 0.407463163137436f, 0.210530325770378f, 0.407685309648514f, + 0.210843101143837f, 0.407907217741013f, 0.211156040430069f, 0.408128857612610f, + 0.211469158530235f, 0.408350288867950f, 0.211782455444336f, 0.408571451902390f, + 0.212095901370049f, 0.408792406320572f, 0.212409526109695f, 0.409013092517853f, + 0.212723329663277f, 0.409233570098877f, 0.213037282228470f, 0.409453779459000f, + 0.213351413607597f, 0.409673750400543f, 0.213665723800659f, 0.409893482923508f, + 0.213980183005333f, 0.410112977027893f, 0.214294821023941f, 0.410332232713699f, + 0.214609622955322f, 0.410551249980927f, 0.214924603700638f, 0.410770028829575f, + 0.215239733457565f, 0.410988569259644f, 0.215555042028427f, 0.411206841468811f, + 0.215870529413223f, 0.411424905061722f, 0.216186165809631f, 0.411642700433731f, + 0.216501981019974f, 0.411860257387161f, 0.216817945241928f, 0.412077575922012f, + 0.217134088277817f, 0.412294656038284f, 0.217450410127640f, 0.412511497735977f, + 0.217766880989075f, 0.412728071212769f, 0.218083515763283f, 0.412944436073303f, + 0.218400329351425f, 0.413160532712936f, 0.218717306852341f, 0.413376390933990f, + 0.219034433364868f, 0.413592010736465f, 0.219351738691330f, 0.413807392120361f, + 0.219669207930565f, 0.414022535085678f, 0.219986841082573f, 0.414237409830093f, + 0.220304638147354f, 0.414452046155930f, 0.220622614026070f, 0.414666473865509f, + 0.220940738916397f, 0.414880603551865f, 0.221259027719498f, 0.415094524621964f, + 0.221577480435371f, 0.415308207273483f, 0.221896097064018f, 0.415521621704102f, + 0.222214877605438f, 0.415734797716141f, 0.222533836960793f, 0.415947735309601f, + 0.222852945327759f, 0.416160434484482f, 0.223172217607498f, 0.416372895240784f, + 0.223491653800011f, 0.416585087776184f, 0.223811239004135f, 0.416797041893005f, + 0.224131003022194f, 0.417008757591248f, 0.224450930953026f, 0.417220205068588f, + 0.224771007895470f, 0.417431443929672f, 0.225091263651848f, 0.417642414569855f, + 0.225411668419838f, 0.417853146791458f, 0.225732237100601f, 0.418063640594482f, + 0.226052969694138f, 0.418273866176605f, 0.226373866200447f, 0.418483853340149f, + 0.226694911718369f, 0.418693602085114f, 0.227016136050224f, 0.418903112411499f, + 0.227337509393692f, 0.419112354516983f, 0.227659046649933f, 0.419321358203888f, + 0.227980732917786f, 0.419530123472214f, 0.228302597999573f, 0.419738620519638f, + 0.228624612092972f, 0.419946908950806f, 0.228946775197983f, 0.420154929161072f, + 0.229269117116928f, 0.420362681150436f, 0.229591608047485f, 0.420570224523544f, + 0.229914262890816f, 0.420777499675751f, 0.230237081646919f, 0.420984506607056f, + 0.230560049414635f, 0.421191304922104f, 0.230883181095123f, 0.421397835016251f, + 0.231206461787224f, 0.421604126691818f, 0.231529906392097f, 0.421810150146484f, + 0.231853514909744f, 0.422015935182571f, 0.232177272439003f, 0.422221481800079f, + 0.232501193881035f, 0.422426789999008f, 0.232825264334679f, 0.422631829977036f, + 0.233149498701096f, 0.422836631536484f, 0.233473882079124f, 0.423041164875031f, + 0.233798429369926f, 0.423245459794998f, 0.234123140573502f, 0.423449516296387f, + 0.234448000788689f, 0.423653304576874f, 0.234773010015488f, 0.423856884241104f, + 0.235098183155060f, 0.424060165882111f, 0.235423520207405f, 0.424263238906860f, + 0.235749006271362f, 0.424466013908386f, 0.236074641346931f, 0.424668580293655f, + 0.236400425434113f, 0.424870878458023f, 0.236726388335228f, 0.425072938203812f, + 0.237052485346794f, 0.425274729728699f, 0.237378746271133f, 0.425476282835007f, + 0.237705156207085f, 0.425677597522736f, 0.238031730055809f, 0.425878643989563f, + 0.238358452916145f, 0.426079452037811f, 0.238685324788094f, 0.426279991865158f, + 0.239012360572815f, 0.426480293273926f, 0.239339530467987f, 0.426680356264114f, + 0.239666879177094f, 0.426880151033401f, 0.239994361996651f, 0.427079707384110f, + 0.240322008728981f, 0.427278995513916f, 0.240649804472923f, 0.427478045225143f, + 0.240977749228477f, 0.427676826715469f, 0.241305842995644f, 0.427875369787216f, + 0.241634100675583f, 0.428073674440384f, 0.241962507367134f, 0.428271710872650f, + 0.242291063070297f, 0.428469479084015f, 0.242619767785072f, 0.428667008876801f, + 0.242948621511459f, 0.428864300251007f, 0.243277639150620f, 0.429061323404312f, + 0.243606805801392f, 0.429258108139038f, 0.243936106562614f, 0.429454624652863f, + 0.244265571236610f, 0.429650902748108f, 0.244595184922218f, 0.429846942424774f, + 0.244924947619438f, 0.430042684078217f, 0.245254859328270f, 0.430238217115402f, + 0.245584934949875f, 0.430433481931686f, 0.245915144681931f, 0.430628478527069f, + 0.246245503425598f, 0.430823236703873f, 0.246576011180878f, 0.431017726659775f, + 0.246906682848930f, 0.431211978197098f, 0.247237488627434f, 0.431405961513519f, + 0.247568443417549f, 0.431599706411362f, 0.247899547219276f, 0.431793183088303f, + 0.248230814933777f, 0.431986421346664f, 0.248562216758728f, 0.432179391384125f, + 0.248893767595291f, 0.432372123003006f, 0.249225467443466f, 0.432564586400986f, + 0.249557301402092f, 0.432756811380386f, 0.249889299273491f, 0.432948768138886f, + 0.250221431255341f, 0.433140486478806f, 0.250553727149963f, 0.433331936597824f, + 0.250886172056198f, 0.433523118495941f, 0.251218736171722f, 0.433714061975479f, + 0.251551479101181f, 0.433904737234116f, 0.251884341239929f, 0.434095174074173f, + 0.252217382192612f, 0.434285342693329f, 0.252550542354584f, 0.434475272893906f, + 0.252883851528168f, 0.434664934873581f, 0.253217309713364f, 0.434854328632355f, + 0.253550916910172f, 0.435043483972549f, 0.253884643316269f, 0.435232400894165f, + 0.254218548536301f, 0.435421019792557f, 0.254552572965622f, 0.435609430074692f, + 0.254886746406555f, 0.435797542333603f, 0.255221068859100f, 0.435985416173935f, + 0.255555540323257f, 0.436173021793365f, 0.255890160799026f, 0.436360388994217f, + 0.256224930286407f, 0.436547487974167f, 0.256559818983078f, 0.436734348535538f, + 0.256894856691360f, 0.436920911073685f, 0.257230043411255f, 0.437107264995575f, + 0.257565379142761f, 0.437293320894241f, 0.257900834083557f, 0.437479138374329f, + 0.258236467838287f, 0.437664687633514f, 0.258572220802307f, 0.437849998474121f, + 0.258908122777939f, 0.438035041093826f, 0.259244143962860f, 0.438219845294952f, + 0.259580343961716f, 0.438404351472855f, 0.259916663169861f, 0.438588619232178f, + 0.260253131389618f, 0.438772648572922f, 0.260589718818665f, 0.438956409692764f, + 0.260926485061646f, 0.439139902591705f, 0.261263370513916f, 0.439323127269745f, + 0.261600375175476f, 0.439506113529205f, 0.261937558650970f, 0.439688831567764f, + 0.262274861335754f, 0.439871311187744f, 0.262612313032150f, 0.440053492784500f, + 0.262949883937836f, 0.440235435962677f, 0.263287603855133f, 0.440417140722275f, + 0.263625472784042f, 0.440598547458649f, 0.263963490724564f, 0.440779715776443f, + 0.264301627874374f, 0.440960645675659f, 0.264639914035797f, 0.441141277551651f, + 0.264978319406509f, 0.441321671009064f, 0.265316903591156f, 0.441501796245575f, + 0.265655577182770f, 0.441681683063507f, 0.265994429588318f, 0.441861271858215f, + 0.266333401203156f, 0.442040622234344f, 0.266672492027283f, 0.442219734191895f, + 0.267011761665344f, 0.442398548126221f, 0.267351150512695f, 0.442577123641968f, + 0.267690658569336f, 0.442755430936813f, 0.268030315637589f, 0.442933470010757f, + 0.268370121717453f, 0.443111270666122f, 0.268710047006607f, 0.443288803100586f, + 0.269050091505051f, 0.443466067314148f, 0.269390314817429f, 0.443643063306808f, + 0.269730657339096f, 0.443819820880890f, 0.270071119070053f, 0.443996280431747f, + 0.270411729812622f, 0.444172531366348f, 0.270752459764481f, 0.444348484277725f, + 0.271093338727951f, 0.444524168968201f, 0.271434366703033f, 0.444699615240097f, + 0.271775513887405f, 0.444874793291092f, 0.272116780281067f, 0.445049703121185f, + 0.272458195686340f, 0.445224374532700f, 0.272799760103226f, 0.445398747920990f, + 0.273141443729401f, 0.445572882890701f, 0.273483246564865f, 0.445746749639511f, + 0.273825198411942f, 0.445920348167419f, 0.274167299270630f, 0.446093708276749f, + 0.274509519338608f, 0.446266770362854f, 0.274851858615875f, 0.446439594030380f, + 0.275194346904755f, 0.446612149477005f, 0.275536954402924f, 0.446784436702728f, + 0.275879681110382f, 0.446956485509872f, 0.276222556829453f, 0.447128236293793f, + 0.276565581560135f, 0.447299748659134f, 0.276908725500107f, 0.447470992803574f, + 0.277251988649368f, 0.447641968727112f, 0.277595400810242f, 0.447812676429749f, + 0.277938932180405f, 0.447983115911484f, 0.278282582759857f, 0.448153316974640f, + 0.278626382350922f, 0.448323249816895f, 0.278970301151276f, 0.448492884635925f, + 0.279314368963242f, 0.448662281036377f, 0.279658555984497f, 0.448831409215927f, + 0.280002862215042f, 0.449000298976898f, 0.280347317457199f, 0.449168890714645f, + 0.280691891908646f, 0.449337244033813f, 0.281036585569382f, 0.449505299329758f, + 0.281381398439407f, 0.449673116207123f, 0.281726360321045f, 0.449840664863586f, + 0.282071471214294f, 0.450007945299149f, 0.282416671514511f, 0.450174957513809f, + 0.282762020826340f, 0.450341701507568f, 0.283107489347458f, 0.450508207082748f, + 0.283453077077866f, 0.450674414634705f, 0.283798813819885f, 0.450840383768082f, + 0.284144669771194f, 0.451006084680557f, 0.284490644931793f, 0.451171487569809f, + 0.284836769104004f, 0.451336652040482f, 0.285182982683182f, 0.451501548290253f, + 0.285529345273972f, 0.451666176319122f, 0.285875827074051f, 0.451830536127090f, + 0.286222457885742f, 0.451994657516479f, 0.286569178104401f, 0.452158480882645f, + 0.286916047334671f, 0.452322036027908f, 0.287263035774231f, 0.452485352754593f, + 0.287610173225403f, 0.452648371458054f, 0.287957400083542f, 0.452811151742935f, + 0.288304775953293f, 0.452973634004593f, 0.288652241230011f, 0.453135877847672f, + 0.288999855518341f, 0.453297853469849f, 0.289347589015961f, 0.453459560871124f, + 0.289695471525192f, 0.453621000051498f, 0.290043443441391f, 0.453782171010971f, + 0.290391564369202f, 0.453943043947220f, 0.290739774703979f, 0.454103678464890f, + 0.291088134050369f, 0.454264044761658f, 0.291436612606049f, 0.454424172639847f, + 0.291785210371017f, 0.454584002494812f, 0.292133957147598f, 0.454743564128876f, + 0.292482793331146f, 0.454902857542038f, 0.292831748723984f, 0.455061882734299f, + 0.293180853128433f, 0.455220639705658f, 0.293530046939850f, 0.455379128456116f, + 0.293879389762878f, 0.455537378787994f, 0.294228851795197f, 0.455695331096649f, + 0.294578403234482f, 0.455853015184402f, 0.294928103685379f, 0.456010431051254f, + 0.295277923345566f, 0.456167578697205f, 0.295627862215042f, 0.456324487924576f, + 0.295977920293808f, 0.456481099128723f, 0.296328097581863f, 0.456637442111969f, + 0.296678394079208f, 0.456793516874313f, 0.297028809785843f, 0.456949323415756f, + 0.297379344701767f, 0.457104891538620f, 0.297729998826981f, 0.457260161638260f, + 0.298080772161484f, 0.457415163516998f, 0.298431664705276f, 0.457569897174835f, + 0.298782676458359f, 0.457724362611771f, 0.299133807420731f, 0.457878559827805f, + 0.299485057592392f, 0.458032488822937f, 0.299836426973343f, 0.458186149597168f, + 0.300187885761261f, 0.458339542150497f, 0.300539493560791f, 0.458492636680603f, + 0.300891220569611f, 0.458645492792130f, 0.301243066787720f, 0.458798080682755f, + 0.301595002412796f, 0.458950400352478f, 0.301947087049484f, 0.459102421998978f, + 0.302299261093140f, 0.459254205226898f, 0.302651554346085f, 0.459405690431595f, + 0.303003966808319f, 0.459556937217712f, 0.303356528282166f, 0.459707885980606f, + 0.303709149360657f, 0.459858566522598f, 0.304061919450760f, 0.460008978843689f, + 0.304414808750153f, 0.460159152746201f, 0.304767817258835f, 0.460309028625488f, + 0.305120915174484f, 0.460458606481552f, 0.305474132299423f, 0.460607945919037f, + 0.305827468633652f, 0.460757017135620f, 0.306180924177170f, 0.460905820131302f, + 0.306534498929977f, 0.461054325103760f, 0.306888192892075f, 0.461202591657639f, + 0.307241976261139f, 0.461350560188293f, 0.307595878839493f, 0.461498260498047f, + 0.307949900627136f, 0.461645722389221f, 0.308304041624069f, 0.461792886257172f, + 0.308658272027969f, 0.461939752101898f, 0.309012651443481f, 0.462086379528046f, + 0.309367120265961f, 0.462232738733292f, 0.309721708297729f, 0.462378799915314f, + 0.310076385736465f, 0.462524622678757f, 0.310431212186813f, 0.462670147418976f, + 0.310786128044128f, 0.462815403938293f, 0.311141163110733f, 0.462960392236710f, + 0.311496287584305f, 0.463105112314224f, 0.311851561069489f, 0.463249564170837f, + 0.312206923961639f, 0.463393747806549f, 0.312562376260757f, 0.463537633419037f, + 0.312917977571487f, 0.463681250810623f, 0.313273668289185f, 0.463824629783630f, + 0.313629478216171f, 0.463967710733414f, 0.313985377550125f, 0.464110493659973f, + 0.314341396093369f, 0.464253038167953f, 0.314697533845901f, 0.464395314455032f, + 0.315053790807724f, 0.464537292718887f, 0.315410137176514f, 0.464679002761841f, + 0.315766572952271f, 0.464820444583893f, 0.316123157739639f, 0.464961618185043f, + 0.316479831933975f, 0.465102523565292f, 0.316836595535278f, 0.465243130922318f, + 0.317193508148193f, 0.465383470058441f, 0.317550510168076f, 0.465523540973663f, + 0.317907601594925f, 0.465663343667984f, 0.318264812231064f, 0.465802878141403f, + 0.318622142076492f, 0.465942144393921f, 0.318979561328888f, 0.466081112623215f, + 0.319337099790573f, 0.466219812631607f, 0.319694727659225f, 0.466358244419098f, + 0.320052474737167f, 0.466496407985687f, 0.320410341024399f, 0.466634273529053f, + 0.320768296718597f, 0.466771900653839f, 0.321126341819763f, 0.466909229755402f, + 0.321484506130219f, 0.467046260833740f, 0.321842789649963f, 0.467183053493500f, + 0.322201162576675f, 0.467319577932358f, 0.322559654712677f, 0.467455804347992f, + 0.322918236255646f, 0.467591762542725f, 0.323276937007904f, 0.467727422714233f, + 0.323635727167130f, 0.467862844467163f, 0.323994606733322f, 0.467997968196869f, + 0.324353635311127f, 0.468132823705673f, 0.324712723493576f, 0.468267410993576f, + 0.325071930885315f, 0.468401730060577f, 0.325431257486343f, 0.468535751104355f, + 0.325790673494339f, 0.468669503927231f, 0.326150178909302f, 0.468802988529205f, + 0.326509803533554f, 0.468936175107956f, 0.326869517564774f, 0.469069123268127f, + 0.327229350805283f, 0.469201773405075f, 0.327589273452759f, 0.469334155321121f, + 0.327949285507202f, 0.469466239213943f, 0.328309416770935f, 0.469598054885864f, + 0.328669637441635f, 0.469729602336884f, 0.329029977321625f, 0.469860881567001f, + 0.329390406608582f, 0.469991862773895f, 0.329750925302505f, 0.470122605562210f, + 0.330111563205719f, 0.470253020524979f, 0.330472290515900f, 0.470383197069168f, + 0.330833107233047f, 0.470513075590134f, 0.331194043159485f, 0.470642685890198f, + 0.331555068492889f, 0.470772027969360f, 0.331916213035584f, 0.470901101827621f, + 0.332277417182922f, 0.471029877662659f, 0.332638740539551f, 0.471158385276794f, + 0.333000183105469f, 0.471286594867706f, 0.333361685276031f, 0.471414536237717f, + 0.333723306655884f, 0.471542209386826f, 0.334085017442703f, 0.471669614315033f, + 0.334446847438812f, 0.471796721220016f, 0.334808766841888f, 0.471923559904099f, + 0.335170775651932f, 0.472050130367279f, 0.335532873868942f, 0.472176402807236f, + 0.335895091295242f, 0.472302407026291f, 0.336257368326187f, 0.472428143024445f, + 0.336619764566422f, 0.472553610801697f, 0.336982280015945f, 0.472678780555725f, + 0.337344855070114f, 0.472803652286530f, 0.337707549333572f, 0.472928285598755f, + 0.338070303201675f, 0.473052620887756f, 0.338433176279068f, 0.473176687955856f, + 0.338796168565750f, 0.473300457000732f, 0.339159220457077f, 0.473423957824707f, + 0.339522391557693f, 0.473547190427780f, 0.339885622262955f, 0.473670125007629f, + 0.340248972177505f, 0.473792791366577f, 0.340612411499023f, 0.473915189504623f, + 0.340975970029831f, 0.474037289619446f, 0.341339588165283f, 0.474159121513367f, + 0.341703325510025f, 0.474280685186386f, 0.342067122459412f, 0.474401950836182f, + 0.342431038618088f, 0.474522948265076f, 0.342795044183731f, 0.474643647670746f, + 0.343159139156342f, 0.474764078855515f, 0.343523323535919f, 0.474884241819382f, + 0.343887597322464f, 0.475004136562347f, 0.344251960515976f, 0.475123733282089f, + 0.344616413116455f, 0.475243031978607f, 0.344980984926224f, 0.475362062454224f, + 0.345345616340637f, 0.475480824708939f, 0.345710366964340f, 0.475599318742752f, + 0.346075177192688f, 0.475717514753342f, 0.346440106630325f, 0.475835442543030f, + 0.346805095672607f, 0.475953072309494f, 0.347170203924179f, 0.476070433855057f, + 0.347535371780396f, 0.476187497377396f, 0.347900658845901f, 0.476304292678833f, + 0.348266035318375f, 0.476420819759369f, 0.348631471395493f, 0.476537048816681f, + 0.348997026681900f, 0.476653009653091f, 0.349362671375275f, 0.476768702268600f, + 0.349728375673294f, 0.476884096860886f, 0.350094199180603f, 0.476999223232269f, + 0.350460082292557f, 0.477114051580429f, 0.350826084613800f, 0.477228611707687f, + 0.351192146539688f, 0.477342873811722f, 0.351558297872543f, 0.477456867694855f, + 0.351924568414688f, 0.477570593357086f, 0.352290898561478f, 0.477684020996094f, + 0.352657318115234f, 0.477797180414200f, 0.353023827075958f, 0.477910041809082f, + 0.353390425443649f, 0.478022634983063f, 0.353757113218308f, 0.478134930133820f, + 0.354123860597610f, 0.478246957063675f, 0.354490727186203f, 0.478358715772629f, + 0.354857653379440f, 0.478470176458359f, 0.355224698781967f, 0.478581339120865f, + 0.355591803789139f, 0.478692263364792f, 0.355958998203278f, 0.478802859783173f, + 0.356326282024384f, 0.478913217782974f, 0.356693625450134f, 0.479023247957230f, + 0.357061088085175f, 0.479133039712906f, 0.357428610324860f, 0.479242533445358f, + 0.357796221971512f, 0.479351729154587f, 0.358163923025131f, 0.479460656642914f, + 0.358531713485718f, 0.479569315910339f, 0.358899593353271f, 0.479677677154541f, + 0.359267532825470f, 0.479785770177841f, 0.359635561704636f, 0.479893565177917f, + 0.360003679990768f, 0.480001062154770f, 0.360371887683868f, 0.480108320713043f, + 0.360740154981613f, 0.480215251445770f, 0.361108511686325f, 0.480321943759918f, + 0.361476957798004f, 0.480428308248520f, 0.361845493316650f, 0.480534434318542f, + 0.362214088439941f, 0.480640232563019f, 0.362582772970200f, 0.480745792388916f, + 0.362951546907425f, 0.480851024389267f, 0.363320380449295f, 0.480956017971039f, + 0.363689333200455f, 0.481060713529587f, 0.364058345556259f, 0.481165111064911f, + 0.364427417516708f, 0.481269240379334f, 0.364796578884125f, 0.481373071670532f, + 0.365165829658508f, 0.481476634740829f, 0.365535169839859f, 0.481579899787903f, + 0.365904569625854f, 0.481682896614075f, 0.366274058818817f, 0.481785595417023f, + 0.366643607616425f, 0.481888025999069f, 0.367013275623322f, 0.481990188360214f, + 0.367382973432541f, 0.482092022895813f, 0.367752790451050f, 0.482193619012833f, + 0.368122667074203f, 0.482294887304306f, 0.368492603302002f, 0.482395917177200f, + 0.368862658739090f, 0.482496619224548f, 0.369232743978500f, 0.482597053050995f, + 0.369602948427200f, 0.482697218656540f, 0.369973212480545f, 0.482797086238861f, + 0.370343536138535f, 0.482896685600281f, 0.370713949203491f, 0.482995986938477f, + 0.371084451675415f, 0.483094990253448f, 0.371455013751984f, 0.483193725347519f, + 0.371825665235519f, 0.483292192220688f, 0.372196376323700f, 0.483390361070633f, + 0.372567176818848f, 0.483488231897354f, 0.372938036918640f, 0.483585834503174f, + 0.373308986425400f, 0.483683139085770f, 0.373679995536804f, 0.483780175447464f, + 0.374051094055176f, 0.483876913785934f, 0.374422252178192f, 0.483973383903503f, + 0.374793499708176f, 0.484069555997849f, 0.375164806842804f, 0.484165430068970f, + 0.375536203384399f, 0.484261035919189f, 0.375907659530640f, 0.484356373548508f, + 0.376279205083847f, 0.484451413154602f, 0.376650810241699f, 0.484546154737473f, + 0.377022475004196f, 0.484640628099442f, 0.377394229173660f, 0.484734803438187f, + 0.377766042947769f, 0.484828680753708f, 0.378137946128845f, 0.484922289848328f, + 0.378509908914566f, 0.485015630722046f, 0.378881961107254f, 0.485108673572540f, + 0.379254043102264f, 0.485201418399811f, 0.379626244306564f, 0.485293895006180f, + 0.379998475313187f, 0.485386073589325f, 0.380370795726776f, 0.485477954149246f, + 0.380743205547333f, 0.485569566488266f, 0.381115674972534f, 0.485660910606384f, + 0.381488204002380f, 0.485751956701279f, 0.381860792636871f, 0.485842704772949f, + 0.382233470678329f, 0.485933154821396f, 0.382606208324432f, 0.486023366451263f, + 0.382979035377502f, 0.486113250255585f, 0.383351892232895f, 0.486202865839005f, + 0.383724838495255f, 0.486292183399200f, 0.384097874164581f, 0.486381232738495f, + 0.384470939636230f, 0.486469984054565f, 0.384844094514847f, 0.486558437347412f, + 0.385217308998108f, 0.486646622419357f, 0.385590612888336f, 0.486734509468079f, + 0.385963946580887f, 0.486822128295898f, 0.386337369680405f, 0.486909449100494f, + 0.386710882186890f, 0.486996471881866f, 0.387084424495697f, 0.487083226442337f, + 0.387458056211472f, 0.487169682979584f, 0.387831717729568f, 0.487255871295929f, + 0.388205498456955f, 0.487341761589050f, 0.388579308986664f, 0.487427353858948f, + 0.388953179121017f, 0.487512677907944f, 0.389327138662338f, 0.487597703933716f, + 0.389701157808304f, 0.487682431936264f, 0.390075236558914f, 0.487766891717911f, + 0.390449374914169f, 0.487851053476334f, 0.390823602676392f, 0.487934947013855f, + 0.391197860240936f, 0.488018542528152f, 0.391572207212448f, 0.488101840019226f, + 0.391946613788605f, 0.488184869289398f, 0.392321079969406f, 0.488267600536346f, + 0.392695605754852f, 0.488350033760071f, 0.393070191144943f, 0.488432198762894f, + 0.393444836139679f, 0.488514065742493f, 0.393819570541382f, 0.488595664501190f, + 0.394194334745407f, 0.488676935434341f, 0.394569188356400f, 0.488757967948914f, + 0.394944071769714f, 0.488838672637939f, 0.395319044589996f, 0.488919109106064f, + 0.395694077014923f, 0.488999247550964f, 0.396069169044495f, 0.489079117774963f, + 0.396444320678711f, 0.489158689975739f, 0.396819531917572f, 0.489237964153290f, + 0.397194802761078f, 0.489316970109940f, 0.397570133209229f, 0.489395678043365f, + 0.397945523262024f, 0.489474087953568f, 0.398320972919464f, 0.489552229642868f, + 0.398696482181549f, 0.489630073308945f, 0.399072051048279f, 0.489707618951797f, + 0.399447679519653f, 0.489784896373749f, 0.399823367595673f, 0.489861875772476f, + 0.400199115276337f, 0.489938557147980f, 0.400574922561646f, 0.490014940500259f, + 0.400950789451599f, 0.490091055631638f, 0.401326715946198f, 0.490166902542114f, + 0.401702702045441f, 0.490242421627045f, 0.402078747749329f, 0.490317672491074f, + 0.402454853057861f, 0.490392625331879f, 0.402830988168716f, 0.490467309951782f, + 0.403207212686539f, 0.490541696548462f, 0.403583467006683f, 0.490615785121918f, + 0.403959810733795f, 0.490689605474472f, 0.404336184263229f, 0.490763127803802f, + 0.404712617397308f, 0.490836352109909f, 0.405089110136032f, 0.490909278392792f, + 0.405465662479401f, 0.490981936454773f, 0.405842274427414f, 0.491054296493530f, + 0.406218945980072f, 0.491126358509064f, 0.406595647335052f, 0.491198152303696f, + 0.406972438097000f, 0.491269648075104f, 0.407349258661270f, 0.491340845823288f, + 0.407726138830185f, 0.491411775350571f, 0.408103078603745f, 0.491482406854630f, + 0.408480048179626f, 0.491552740335464f, 0.408857107162476f, 0.491622805595398f, + 0.409234195947647f, 0.491692543029785f, 0.409611344337463f, 0.491762012243271f, + 0.409988552331924f, 0.491831213235855f, 0.410365819931030f, 0.491900116205215f, + 0.410743117332459f, 0.491968721151352f, 0.411120474338531f, 0.492037028074265f, + 0.411497890949249f, 0.492105036973953f, 0.411875367164612f, 0.492172777652740f, + 0.412252873182297f, 0.492240220308304f, 0.412630438804626f, 0.492307394742966f, + 0.413008064031601f, 0.492374241352081f, 0.413385748863220f, 0.492440819740295f, + 0.413763463497162f, 0.492507129907608f, 0.414141237735748f, 0.492573112249374f, + 0.414519041776657f, 0.492638826370239f, 0.414896935224533f, 0.492704242467880f, + 0.415274858474731f, 0.492769360542297f, 0.415652841329575f, 0.492834210395813f, + 0.416030853986740f, 0.492898762226105f, 0.416408926248550f, 0.492963016033173f, + 0.416787058115005f, 0.493026971817017f, 0.417165219783783f, 0.493090659379959f, + 0.417543441057205f, 0.493154048919678f, 0.417921721935272f, 0.493217140436172f, + 0.418300032615662f, 0.493279963731766f, 0.418678402900696f, 0.493342459201813f, + 0.419056802988052f, 0.493404686450958f, 0.419435262680054f, 0.493466645479202f, + 0.419813781976700f, 0.493528276681900f, 0.420192331075668f, 0.493589639663696f, + 0.420570939779282f, 0.493650704622269f, 0.420949578285217f, 0.493711471557617f, + 0.421328276395798f, 0.493771970272064f, 0.421707004308701f, 0.493832170963287f, + 0.422085791826248f, 0.493892073631287f, 0.422464638948441f, 0.493951678276062f, + 0.422843515872955f, 0.494011014699936f, 0.423222452402115f, 0.494070053100586f, + 0.423601418733597f, 0.494128793478012f, 0.423980414867401f, 0.494187235832214f, + 0.424359470605850f, 0.494245409965515f, 0.424738585948944f, 0.494303256273270f, + 0.425117731094360f, 0.494360834360123f, 0.425496935844421f, 0.494418144226074f, + 0.425876170396805f, 0.494475126266479f, 0.426255434751511f, 0.494531840085983f, + 0.426634758710861f, 0.494588255882263f, 0.427014142274857f, 0.494644373655319f, + 0.427393525838852f, 0.494700223207474f, 0.427772998809814f, 0.494755744934082f, + 0.428152471780777f, 0.494810998439789f, 0.428532034158707f, 0.494865983724594f, + 0.428911596536636f, 0.494920641183853f, 0.429291218519211f, 0.494975030422211f, + 0.429670870304108f, 0.495029091835022f, 0.430050581693649f, 0.495082914829254f, + 0.430430322885513f, 0.495136409997940f, 0.430810123682022f, 0.495189607143402f, + 0.431189924478531f, 0.495242536067963f, 0.431569814682007f, 0.495295166969299f, + 0.431949704885483f, 0.495347499847412f, 0.432329654693604f, 0.495399564504623f, + 0.432709634304047f, 0.495451331138611f, 0.433089673519135f, 0.495502769947052f, + 0.433469742536545f, 0.495553970336914f, 0.433849841356277f, 0.495604842901230f, + 0.434229999780655f, 0.495655417442322f, 0.434610158205032f, 0.495705723762512f, + 0.434990376234055f, 0.495755732059479f, 0.435370653867722f, 0.495805442333221f, + 0.435750931501389f, 0.495854884386063f, 0.436131268739700f, 0.495903998613358f, + 0.436511665582657f, 0.495952844619751f, 0.436892062425613f, 0.496001392602921f, + 0.437272518873215f, 0.496049642562866f, 0.437653005123138f, 0.496097624301910f, + 0.438033521175385f, 0.496145308017731f, 0.438414067029953f, 0.496192663908005f, + 0.438794672489166f, 0.496239781379700f, 0.439175277948380f, 0.496286571025848f, + 0.439555943012238f, 0.496333062648773f, 0.439936667680740f, 0.496379286050797f, + 0.440317392349243f, 0.496425211429596f, 0.440698176622391f, 0.496470838785172f, + 0.441078960895538f, 0.496516168117523f, 0.441459804773331f, 0.496561229228973f, + 0.441840678453445f, 0.496605962514877f, 0.442221581935883f, 0.496650427579880f, + 0.442602545022964f, 0.496694594621658f, 0.442983508110046f, 0.496738493442535f, + 0.443364530801773f, 0.496782064437866f, 0.443745553493500f, 0.496825367212296f, + 0.444126635789871f, 0.496868371963501f, 0.444507747888565f, 0.496911078691483f, + 0.444888889789581f, 0.496953487396240f, 0.445270061492920f, 0.496995598077774f, + 0.445651292800903f, 0.497037440538406f, 0.446032524108887f, 0.497078984975815f, + 0.446413785219193f, 0.497120231389999f, 0.446795076131821f, 0.497161179780960f, + 0.447176426649094f, 0.497201830148697f, 0.447557777166367f, 0.497242212295532f, + 0.447939187288284f, 0.497282296419144f, 0.448320597410202f, 0.497322082519531f, + 0.448702067136765f, 0.497361570596695f, 0.449083566665649f, 0.497400760650635f, + 0.449465066194534f, 0.497439652681351f, 0.449846625328064f, 0.497478276491165f, + 0.450228184461594f, 0.497516602277756f, 0.450609803199768f, 0.497554630041122f, + 0.450991421937943f, 0.497592359781265f, 0.451373100280762f, 0.497629791498184f, + 0.451754778623581f, 0.497666954994202f, 0.452136516571045f, 0.497703820466995f, + 0.452518254518509f, 0.497740387916565f, 0.452900022268295f, 0.497776657342911f, + 0.453281819820404f, 0.497812628746033f, 0.453663676977158f, 0.497848302125931f, + 0.454045534133911f, 0.497883707284927f, 0.454427421092987f, 0.497918814420700f, + 0.454809308052063f, 0.497953623533249f, 0.455191254615784f, 0.497988134622574f, + 0.455573230981827f, 0.498022347688675f, 0.455955207347870f, 0.498056292533875f, + 0.456337243318558f, 0.498089909553528f, 0.456719279289246f, 0.498123258352280f, + 0.457101345062256f, 0.498156309127808f, 0.457483440637589f, 0.498189061880112f, + 0.457865566015244f, 0.498221516609192f, 0.458247691392899f, 0.498253703117371f, + 0.458629876375198f, 0.498285561800003f, 0.459012061357498f, 0.498317152261734f, + 0.459394276142120f, 0.498348444700241f, 0.459776520729065f, 0.498379439115524f, + 0.460158795118332f, 0.498410135507584f, 0.460541069507599f, 0.498440563678741f, + 0.460923373699188f, 0.498470664024353f, 0.461305707693100f, 0.498500496149063f, + 0.461688071489334f, 0.498530030250549f, 0.462070435285568f, 0.498559266328812f, + 0.462452858686447f, 0.498588204383850f, 0.462835282087326f, 0.498616874217987f, + 0.463217705488205f, 0.498645216226578f, 0.463600188493729f, 0.498673290014267f, + 0.463982671499252f, 0.498701065778732f, 0.464365184307098f, 0.498728543519974f, + 0.464747726917267f, 0.498755723237991f, 0.465130269527435f, 0.498782604932785f, + 0.465512841939926f, 0.498809218406677f, 0.465895414352417f, 0.498835533857346f, + 0.466278046369553f, 0.498861521482468f, 0.466660678386688f, 0.498887240886688f, + 0.467043310403824f, 0.498912662267685f, 0.467426002025604f, 0.498937815427780f, + 0.467808693647385f, 0.498962640762329f, 0.468191385269165f, 0.498987197875977f, + 0.468574106693268f, 0.499011427164078f, 0.468956857919693f, 0.499035388231277f, + 0.469339638948441f, 0.499059051275253f, 0.469722419977188f, 0.499082416296005f, + 0.470105201005936f, 0.499105513095856f, 0.470488041639328f, 0.499128282070160f, + 0.470870882272720f, 0.499150782823563f, 0.471253722906113f, 0.499172955751419f, + 0.471636593341827f, 0.499194860458374f, 0.472019463777542f, 0.499216467142105f, + 0.472402364015579f, 0.499237775802612f, 0.472785294055939f, 0.499258816242218f, + 0.473168224096298f, 0.499279528856277f, 0.473551183938980f, 0.499299973249435f, + 0.473934143781662f, 0.499320119619370f, 0.474317133426666f, 0.499339967966080f, + 0.474700123071671f, 0.499359518289566f, 0.475083142518997f, 0.499378770589828f, + 0.475466161966324f, 0.499397724866867f, 0.475849211215973f, 0.499416410923004f, + 0.476232260465622f, 0.499434769153595f, 0.476615339517593f, 0.499452859163284f, + 0.476998418569565f, 0.499470651149750f, 0.477381497621536f, 0.499488145112991f, + 0.477764606475830f, 0.499505341053009f, 0.478147745132446f, 0.499522238969803f, + 0.478530883789063f, 0.499538868665695f, 0.478914022445679f, 0.499555170536041f, + 0.479297190904617f, 0.499571204185486f, 0.479680359363556f, 0.499586939811707f, + 0.480063527822495f, 0.499602377414703f, 0.480446726083755f, 0.499617516994476f, + 0.480829954147339f, 0.499632388353348f, 0.481213152408600f, 0.499646931886673f, + 0.481596380472183f, 0.499661177396774f, 0.481979638338089f, 0.499675154685974f, + 0.482362866401672f, 0.499688833951950f, 0.482746154069901f, 0.499702215194702f, + 0.483129411935806f, 0.499715298414230f, 0.483512699604034f, 0.499728083610535f, + 0.483895987272263f, 0.499740600585938f, 0.484279274940491f, 0.499752789735794f, + 0.484662592411041f, 0.499764710664749f, 0.485045909881592f, 0.499776333570480f, + 0.485429257154465f, 0.499787658452988f, 0.485812574625015f, 0.499798685312271f, + 0.486195921897888f, 0.499809414148331f, 0.486579269170761f, 0.499819844961166f, + 0.486962646245956f, 0.499830007553101f, 0.487346023321152f, 0.499839842319489f, + 0.487729400396347f, 0.499849408864975f, 0.488112777471542f, 0.499858677387238f, + 0.488496154546738f, 0.499867647886276f, 0.488879561424255f, 0.499876320362091f, + 0.489262968301773f, 0.499884694814682f, 0.489646375179291f, 0.499892801046371f, + 0.490029782056808f, 0.499900579452515f, 0.490413218736649f, 0.499908089637756f, + 0.490796625614166f, 0.499915301799774f, 0.491180062294006f, 0.499922215938568f, + 0.491563498973846f, 0.499928832054138f, 0.491946935653687f, 0.499935150146484f, + 0.492330402135849f, 0.499941170215607f, 0.492713838815689f, 0.499946922063828f, + 0.493097305297852f, 0.499952346086502f, 0.493480771780014f, 0.499957501888275f, + 0.493864238262177f, 0.499962359666824f, 0.494247704744339f, 0.499966919422150f, + 0.494631171226501f, 0.499971181154251f, 0.495014637708664f, 0.499975144863129f, + 0.495398133993149f, 0.499978810548782f, 0.495781600475311f, 0.499982208013535f, + 0.496165096759796f, 0.499985307455063f, 0.496548563241959f, 0.499988079071045f, + 0.496932059526443f, 0.499990582466125f, 0.497315555810928f, 0.499992787837982f, + 0.497699022293091f, 0.499994695186615f, 0.498082518577576f, 0.499996334314346f, + 0.498466014862061f, 0.499997645616531f, 0.498849511146545f, 0.499998688697815f, + 0.499233007431030f, 0.499999403953552f, 0.499616503715515f, 0.499999850988388f, +}; + + +/** +* \par +* Generation of realCoefB array: +* \par +* n = 4096 +*
for (i = 0; i < n; i++)
+* {
+*    pBTable[2 * i] = 0.5 * (1.0 + sin (2 * PI / (double) (2 * n) * (double) i));
+*    pBTable[2 * i + 1] = 0.5 * (1.0 * cos (2 * PI / (double) (2 * n) * (double) i));
+*  } 
+* +*/ +static const float32_t realCoefB[8192] = { + 0.500000000000000f, 0.500000000000000f, 0.500383496284485f, 0.499999850988388f, + 0.500766992568970f, 0.499999403953552f, 0.501150488853455f, 0.499998688697815f, + 0.501533985137939f, 0.499997645616531f, 0.501917481422424f, 0.499996334314346f, + 0.502300977706909f, 0.499994695186615f, 0.502684473991394f, 0.499992787837982f, + 0.503067970275879f, 0.499990582466125f, 0.503451406955719f, 0.499988079071045f, + 0.503834903240204f, 0.499985307455063f, 0.504218399524689f, 0.499982208013535f, + 0.504601895809174f, 0.499978810548782f, 0.504985332489014f, 0.499975144863129f, + 0.505368828773499f, 0.499971181154251f, 0.505752325057983f, 0.499966919422150f, + 0.506135761737823f, 0.499962359666824f, 0.506519258022308f, 0.499957501888275f, + 0.506902694702148f, 0.499952346086502f, 0.507286131381989f, 0.499946922063828f, + 0.507669627666473f, 0.499941170215607f, 0.508053064346313f, 0.499935150146484f, + 0.508436501026154f, 0.499928832054138f, 0.508819937705994f, 0.499922215938568f, + 0.509203374385834f, 0.499915301799774f, 0.509586811065674f, 0.499908089637756f, + 0.509970188140869f, 0.499900579452515f, 0.510353624820709f, 0.499892801046371f, + 0.510737061500549f, 0.499884694814682f, 0.511120438575745f, 0.499876320362091f, + 0.511503815650940f, 0.499867647886276f, 0.511887252330780f, 0.499858677387238f, + 0.512270629405975f, 0.499849408864975f, 0.512654006481171f, 0.499839842319489f, + 0.513037383556366f, 0.499830007553101f, 0.513420701026917f, 0.499819844961166f, + 0.513804078102112f, 0.499809414148331f, 0.514187395572662f, 0.499798685312271f, + 0.514570772647858f, 0.499787658452988f, 0.514954090118408f, 0.499776333570480f, + 0.515337407588959f, 0.499764710664749f, 0.515720725059509f, 0.499752789735794f, + 0.516103982925415f, 0.499740600585938f, 0.516487300395966f, 0.499728083610535f, + 0.516870558261871f, 0.499715298414230f, 0.517253875732422f, 0.499702215194702f, + 0.517637133598328f, 0.499688833951950f, 0.518020391464233f, 0.499675154685974f, + 0.518403589725494f, 0.499661177396774f, 0.518786847591400f, 0.499646931886673f, + 0.519170045852661f, 0.499632388353348f, 0.519553244113922f, 0.499617516994476f, + 0.519936442375183f, 0.499602377414703f, 0.520319640636444f, 0.499586939811707f, + 0.520702838897705f, 0.499571204185486f, 0.521085977554321f, 0.499555170536041f, + 0.521469116210938f, 0.499538868665695f, 0.521852254867554f, 0.499522238969803f, + 0.522235393524170f, 0.499505341053009f, 0.522618472576141f, 0.499488145112991f, + 0.523001611232758f, 0.499470651149750f, 0.523384690284729f, 0.499452859163284f, + 0.523767769336700f, 0.499434769153595f, 0.524150788784027f, 0.499416410923004f, + 0.524533808231354f, 0.499397724866867f, 0.524916887283325f, 0.499378770589828f, + 0.525299847126007f, 0.499359518289566f, 0.525682866573334f, 0.499339967966080f, + 0.526065826416016f, 0.499320119619370f, 0.526448845863342f, 0.499299973249435f, + 0.526831746101379f, 0.499279528856277f, 0.527214705944061f, 0.499258816242218f, + 0.527597606182098f, 0.499237775802612f, 0.527980506420136f, 0.499216467142105f, + 0.528363406658173f, 0.499194860458374f, 0.528746306896210f, 0.499172955751419f, + 0.529129147529602f, 0.499150782823563f, 0.529511988162994f, 0.499128282070160f, + 0.529894769191742f, 0.499105513095856f, 0.530277609825134f, 0.499082416296005f, + 0.530660390853882f, 0.499059051275253f, 0.531043112277985f, 0.499035388231277f, + 0.531425893306732f, 0.499011427164078f, 0.531808614730835f, 0.498987197875977f, + 0.532191336154938f, 0.498962640762329f, 0.532573997974396f, 0.498937815427780f, + 0.532956659793854f, 0.498912662267685f, 0.533339321613312f, 0.498887240886688f, + 0.533721983432770f, 0.498861521482468f, 0.534104585647583f, 0.498835533857346f, + 0.534487187862396f, 0.498809218406677f, 0.534869730472565f, 0.498782604932785f, + 0.535252273082733f, 0.498755723237991f, 0.535634815692902f, 0.498728543519974f, + 0.536017298698425f, 0.498701065778732f, 0.536399841308594f, 0.498673290014267f, + 0.536782264709473f, 0.498645216226578f, 0.537164747714996f, 0.498616874217987f, + 0.537547171115875f, 0.498588204383850f, 0.537929534912109f, 0.498559266328812f, + 0.538311958312988f, 0.498530030250549f, 0.538694262504578f, 0.498500496149063f, + 0.539076626300812f, 0.498470664024353f, 0.539458930492401f, 0.498440563678741f, + 0.539841234683990f, 0.498410135507584f, 0.540223479270935f, 0.498379439115524f, + 0.540605723857880f, 0.498348444700241f, 0.540987968444824f, 0.498317152261734f, + 0.541370153427124f, 0.498285561800003f, 0.541752278804779f, 0.498253703117371f, + 0.542134463787079f, 0.498221516609192f, 0.542516589164734f, 0.498189061880112f, + 0.542898654937744f, 0.498156309127808f, 0.543280720710754f, 0.498123258352280f, + 0.543662786483765f, 0.498089909553528f, 0.544044792652130f, 0.498056292533875f, + 0.544426798820496f, 0.498022347688675f, 0.544808745384216f, 0.497988134622574f, + 0.545190691947937f, 0.497953623533249f, 0.545572578907013f, 0.497918814420700f, + 0.545954465866089f, 0.497883707284927f, 0.546336352825165f, 0.497848302125931f, + 0.546718180179596f, 0.497812628746033f, 0.547099947929382f, 0.497776657342911f, + 0.547481775283813f, 0.497740387916565f, 0.547863483428955f, 0.497703820466995f, + 0.548245191574097f, 0.497666954994202f, 0.548626899719238f, 0.497629791498184f, + 0.549008548259735f, 0.497592359781265f, 0.549390196800232f, 0.497554630041122f, + 0.549771785736084f, 0.497516602277756f, 0.550153374671936f, 0.497478276491165f, + 0.550534904003143f, 0.497439652681351f, 0.550916433334351f, 0.497400760650635f, + 0.551297962665558f, 0.497361570596695f, 0.551679372787476f, 0.497322082519531f, + 0.552060842514038f, 0.497282296419144f, 0.552442193031311f, 0.497242212295532f, + 0.552823603153229f, 0.497201830148697f, 0.553204894065857f, 0.497161179780960f, + 0.553586184978485f, 0.497120231389999f, 0.553967475891113f, 0.497078984975815f, + 0.554348707199097f, 0.497037440538406f, 0.554729938507080f, 0.496995598077774f, + 0.555111110210419f, 0.496953487396240f, 0.555492222309113f, 0.496911078691483f, + 0.555873334407806f, 0.496868371963501f, 0.556254446506500f, 0.496825367212296f, + 0.556635499000549f, 0.496782064437866f, 0.557016491889954f, 0.496738493442535f, + 0.557397484779358f, 0.496694594621658f, 0.557778418064117f, 0.496650427579880f, + 0.558159291744232f, 0.496605962514877f, 0.558540165424347f, 0.496561229228973f, + 0.558921039104462f, 0.496516168117523f, 0.559301853179932f, 0.496470838785172f, + 0.559682607650757f, 0.496425211429596f, 0.560063362121582f, 0.496379286050797f, + 0.560444056987762f, 0.496333062648773f, 0.560824692249298f, 0.496286571025848f, + 0.561205327510834f, 0.496239781379700f, 0.561585903167725f, 0.496192663908005f, + 0.561966478824615f, 0.496145308017731f, 0.562346994876862f, 0.496097624301910f, + 0.562727510929108f, 0.496049642562866f, 0.563107967376709f, 0.496001392602921f, + 0.563488364219666f, 0.495952844619751f, 0.563868701457977f, 0.495903998613358f, + 0.564249038696289f, 0.495854884386063f, 0.564629375934601f, 0.495805442333221f, + 0.565009593963623f, 0.495755732059479f, 0.565389811992645f, 0.495705723762512f, + 0.565770030021667f, 0.495655417442322f, 0.566150128841400f, 0.495604842901230f, + 0.566530287265778f, 0.495553970336914f, 0.566910326480865f, 0.495502769947052f, + 0.567290365695953f, 0.495451331138611f, 0.567670345306396f, 0.495399564504623f, + 0.568050265312195f, 0.495347499847412f, 0.568430185317993f, 0.495295166969299f, + 0.568810045719147f, 0.495242536067963f, 0.569189906120300f, 0.495189607143402f, + 0.569569647312164f, 0.495136409997940f, 0.569949388504028f, 0.495082914829254f, + 0.570329129695892f, 0.495029091835022f, 0.570708811283112f, 0.494975030422211f, + 0.571088373661041f, 0.494920641183853f, 0.571467995643616f, 0.494865983724594f, + 0.571847498416901f, 0.494810998439789f, 0.572227001190186f, 0.494755744934082f, + 0.572606444358826f, 0.494700223207474f, 0.572985887527466f, 0.494644373655319f, + 0.573365211486816f, 0.494588255882263f, 0.573744535446167f, 0.494531840085983f, + 0.574123859405518f, 0.494475126266479f, 0.574503064155579f, 0.494418144226074f, + 0.574882268905640f, 0.494360834360123f, 0.575261414051056f, 0.494303256273270f, + 0.575640499591827f, 0.494245409965515f, 0.576019585132599f, 0.494187235832214f, + 0.576398611068726f, 0.494128793478012f, 0.576777577400208f, 0.494070053100586f, + 0.577156484127045f, 0.494011014699936f, 0.577535390853882f, 0.493951678276062f, + 0.577914178371429f, 0.493892073631287f, 0.578292965888977f, 0.493832170963287f, + 0.578671753406525f, 0.493771970272064f, 0.579050421714783f, 0.493711471557617f, + 0.579429090023041f, 0.493650704622269f, 0.579807698726654f, 0.493589639663696f, + 0.580186247825623f, 0.493528276681900f, 0.580564737319946f, 0.493466645479202f, + 0.580943167209625f, 0.493404686450958f, 0.581321597099304f, 0.493342459201813f, + 0.581699967384338f, 0.493279963731766f, 0.582078278064728f, 0.493217140436172f, + 0.582456588745117f, 0.493154048919678f, 0.582834780216217f, 0.493090659379959f, + 0.583212971687317f, 0.493026971817017f, 0.583591103553772f, 0.492963016033173f, + 0.583969175815582f, 0.492898762226105f, 0.584347188472748f, 0.492834210395813f, + 0.584725141525269f, 0.492769360542297f, 0.585103094577789f, 0.492704242467880f, + 0.585480928421021f, 0.492638826370239f, 0.585858762264252f, 0.492573112249374f, + 0.586236536502838f, 0.492507129907608f, 0.586614251136780f, 0.492440819740295f, + 0.586991965770721f, 0.492374241352081f, 0.587369561195374f, 0.492307394742966f, + 0.587747097015381f, 0.492240220308304f, 0.588124632835388f, 0.492172777652740f, + 0.588502109050751f, 0.492105036973953f, 0.588879525661469f, 0.492037028074265f, + 0.589256882667542f, 0.491968721151352f, 0.589634180068970f, 0.491900116205215f, + 0.590011477470398f, 0.491831213235855f, 0.590388655662537f, 0.491762012243271f, + 0.590765833854675f, 0.491692543029785f, 0.591142892837524f, 0.491622805595398f, + 0.591519951820374f, 0.491552740335464f, 0.591896951198578f, 0.491482406854630f, + 0.592273890972137f, 0.491411775350571f, 0.592650771141052f, 0.491340845823288f, + 0.593027591705322f, 0.491269648075104f, 0.593404352664948f, 0.491198152303696f, + 0.593781054019928f, 0.491126358509064f, 0.594157755374908f, 0.491054296493530f, + 0.594534337520599f, 0.490981936454773f, 0.594910860061646f, 0.490909278392792f, + 0.595287382602692f, 0.490836352109909f, 0.595663845539093f, 0.490763127803802f, + 0.596040189266205f, 0.490689605474472f, 0.596416532993317f, 0.490615785121918f, + 0.596792817115784f, 0.490541696548462f, 0.597168982028961f, 0.490467309951782f, + 0.597545146942139f, 0.490392625331879f, 0.597921252250671f, 0.490317672491074f, + 0.598297297954559f, 0.490242421627045f, 0.598673284053802f, 0.490166902542114f, + 0.599049210548401f, 0.490091055631638f, 0.599425077438354f, 0.490014940500259f, + 0.599800884723663f, 0.489938557147980f, 0.600176632404327f, 0.489861875772476f, + 0.600552320480347f, 0.489784896373749f, 0.600927948951721f, 0.489707618951797f, + 0.601303517818451f, 0.489630073308945f, 0.601679027080536f, 0.489552229642868f, + 0.602054476737976f, 0.489474087953568f, 0.602429866790771f, 0.489395678043365f, + 0.602805197238922f, 0.489316970109940f, 0.603180468082428f, 0.489237964153290f, + 0.603555679321289f, 0.489158689975739f, 0.603930830955505f, 0.489079117774963f, + 0.604305922985077f, 0.488999247550964f, 0.604680955410004f, 0.488919109106064f, + 0.605055928230286f, 0.488838672637939f, 0.605430841445923f, 0.488757967948914f, + 0.605805635452271f, 0.488676935434341f, 0.606180429458618f, 0.488595664501190f, + 0.606555163860321f, 0.488514065742493f, 0.606929838657379f, 0.488432198762894f, + 0.607304394245148f, 0.488350033760071f, 0.607678949832916f, 0.488267600536346f, + 0.608053386211395f, 0.488184869289398f, 0.608427822589874f, 0.488101840019226f, + 0.608802139759064f, 0.488018542528152f, 0.609176397323608f, 0.487934947013855f, + 0.609550595283508f, 0.487851053476334f, 0.609924793243408f, 0.487766891717911f, + 0.610298871994019f, 0.487682431936264f, 0.610672831535339f, 0.487597703933716f, + 0.611046791076660f, 0.487512677907944f, 0.611420691013336f, 0.487427353858948f, + 0.611794531345367f, 0.487341761589050f, 0.612168252468109f, 0.487255871295929f, + 0.612541973590851f, 0.487169682979584f, 0.612915575504303f, 0.487083226442337f, + 0.613289117813110f, 0.486996471881866f, 0.613662600517273f, 0.486909449100494f, + 0.614036023616791f, 0.486822128295898f, 0.614409387111664f, 0.486734509468079f, + 0.614782691001892f, 0.486646622419357f, 0.615155875682831f, 0.486558437347412f, + 0.615529060363770f, 0.486469984054565f, 0.615902125835419f, 0.486381232738495f, + 0.616275131702423f, 0.486292183399200f, 0.616648077964783f, 0.486202865839005f, + 0.617020964622498f, 0.486113250255585f, 0.617393791675568f, 0.486023366451263f, + 0.617766559123993f, 0.485933154821396f, 0.618139207363129f, 0.485842704772949f, + 0.618511795997620f, 0.485751956701279f, 0.618884325027466f, 0.485660910606384f, + 0.619256794452667f, 0.485569566488266f, 0.619629204273224f, 0.485477954149246f, + 0.620001494884491f, 0.485386073589325f, 0.620373785495758f, 0.485293895006180f, + 0.620745956897736f, 0.485201418399811f, 0.621118068695068f, 0.485108673572540f, + 0.621490061283112f, 0.485015630722046f, 0.621862053871155f, 0.484922289848328f, + 0.622233927249908f, 0.484828680753708f, 0.622605800628662f, 0.484734803438187f, + 0.622977554798126f, 0.484640628099442f, 0.623349189758301f, 0.484546154737473f, + 0.623720824718475f, 0.484451413154602f, 0.624092340469360f, 0.484356373548508f, + 0.624463796615601f, 0.484261035919189f, 0.624835193157196f, 0.484165430068970f, + 0.625206530094147f, 0.484069555997849f, 0.625577747821808f, 0.483973383903503f, + 0.625948905944824f, 0.483876913785934f, 0.626320004463196f, 0.483780175447464f, + 0.626691043376923f, 0.483683139085770f, 0.627061963081360f, 0.483585834503174f, + 0.627432823181152f, 0.483488231897354f, 0.627803623676300f, 0.483390361070633f, + 0.628174364566803f, 0.483292192220688f, 0.628544986248016f, 0.483193725347519f, + 0.628915548324585f, 0.483094990253448f, 0.629286050796509f, 0.482995986938477f, + 0.629656434059143f, 0.482896685600281f, 0.630026817321777f, 0.482797086238861f, + 0.630397081375122f, 0.482697218656540f, 0.630767226219177f, 0.482597053050995f, + 0.631137371063232f, 0.482496619224548f, 0.631507396697998f, 0.482395917177200f, + 0.631877362728119f, 0.482294887304306f, 0.632247209548950f, 0.482193619012833f, + 0.632616996765137f, 0.482092022895813f, 0.632986724376678f, 0.481990188360214f, + 0.633356392383575f, 0.481888025999069f, 0.633725941181183f, 0.481785595417023f, + 0.634095430374146f, 0.481682896614075f, 0.634464859962463f, 0.481579899787903f, + 0.634834170341492f, 0.481476634740829f, 0.635203421115875f, 0.481373071670532f, + 0.635572552680969f, 0.481269240379334f, 0.635941684246063f, 0.481165111064911f, + 0.636310696601868f, 0.481060713529587f, 0.636679589748383f, 0.480956017971039f, + 0.637048482894897f, 0.480851024389267f, 0.637417197227478f, 0.480745792388916f, + 0.637785911560059f, 0.480640232563019f, 0.638154506683350f, 0.480534434318542f, + 0.638523042201996f, 0.480428308248520f, 0.638891458511353f, 0.480321943759918f, + 0.639259815216064f, 0.480215251445770f, 0.639628112316132f, 0.480108320713043f, + 0.639996349811554f, 0.480001062154770f, 0.640364408493042f, 0.479893565177917f, + 0.640732467174530f, 0.479785770177841f, 0.641100406646729f, 0.479677677154541f, + 0.641468286514282f, 0.479569315910339f, 0.641836047172546f, 0.479460656642914f, + 0.642203748226166f, 0.479351729154587f, 0.642571389675140f, 0.479242533445358f, + 0.642938911914825f, 0.479133039712906f, 0.643306374549866f, 0.479023247957230f, + 0.643673717975616f, 0.478913217782974f, 0.644041001796722f, 0.478802859783173f, + 0.644408226013184f, 0.478692263364792f, 0.644775331020355f, 0.478581339120865f, + 0.645142316818237f, 0.478470176458359f, 0.645509302616119f, 0.478358715772629f, + 0.645876109600067f, 0.478246957063675f, 0.646242916584015f, 0.478134930133820f, + 0.646609604358673f, 0.478022634983063f, 0.646976172924042f, 0.477910041809082f, + 0.647342681884766f, 0.477797180414200f, 0.647709131240845f, 0.477684020996094f, + 0.648075461387634f, 0.477570593357086f, 0.648441672325134f, 0.477456867694855f, + 0.648807883262634f, 0.477342873811722f, 0.649173915386200f, 0.477228611707687f, + 0.649539887905121f, 0.477114051580429f, 0.649905800819397f, 0.476999223232269f, + 0.650271594524384f, 0.476884096860886f, 0.650637328624725f, 0.476768702268600f, + 0.651003003120422f, 0.476653009653091f, 0.651368498802185f, 0.476537048816681f, + 0.651733994483948f, 0.476420819759369f, 0.652099311351776f, 0.476304292678833f, + 0.652464628219604f, 0.476187497377396f, 0.652829825878143f, 0.476070433855057f, + 0.653194904327393f, 0.475953072309494f, 0.653559923171997f, 0.475835442543030f, + 0.653924822807312f, 0.475717514753342f, 0.654289662837982f, 0.475599318742752f, + 0.654654383659363f, 0.475480824708939f, 0.655019044876099f, 0.475362062454224f, + 0.655383586883545f, 0.475243031978607f, 0.655748009681702f, 0.475123733282089f, + 0.656112432479858f, 0.475004136562347f, 0.656476676464081f, 0.474884241819382f, + 0.656840860843658f, 0.474764078855515f, 0.657204985618591f, 0.474643647670746f, + 0.657568991184235f, 0.474522948265076f, 0.657932877540588f, 0.474401950836182f, + 0.658296704292297f, 0.474280685186386f, 0.658660411834717f, 0.474159121513367f, + 0.659024059772491f, 0.474037289619446f, 0.659387588500977f, 0.473915189504623f, + 0.659750998020172f, 0.473792791366577f, 0.660114347934723f, 0.473670125007629f, + 0.660477638244629f, 0.473547190427780f, 0.660840749740601f, 0.473423957824707f, + 0.661203861236572f, 0.473300457000732f, 0.661566793918610f, 0.473176687955856f, + 0.661929666996002f, 0.473052620887756f, 0.662292480468750f, 0.472928285598755f, + 0.662655174732208f, 0.472803652286530f, 0.663017749786377f, 0.472678780555725f, + 0.663380205631256f, 0.472553610801697f, 0.663742601871490f, 0.472428143024445f, + 0.664104938507080f, 0.472302407026291f, 0.664467096328735f, 0.472176402807236f, + 0.664829254150391f, 0.472050130367279f, 0.665191233158112f, 0.471923559904099f, + 0.665553152561188f, 0.471796721220016f, 0.665914952754974f, 0.471669614315033f, + 0.666276693344116f, 0.471542209386826f, 0.666638314723969f, 0.471414536237717f, + 0.666999816894531f, 0.471286594867706f, 0.667361259460449f, 0.471158385276794f, + 0.667722582817078f, 0.471029877662659f, 0.668083786964417f, 0.470901101827621f, + 0.668444931507111f, 0.470772027969360f, 0.668805956840515f, 0.470642685890198f, + 0.669166862964630f, 0.470513075590134f, 0.669527709484100f, 0.470383197069168f, + 0.669888436794281f, 0.470253020524979f, 0.670249044895172f, 0.470122605562210f, + 0.670609593391418f, 0.469991862773895f, 0.670970022678375f, 0.469860881567001f, + 0.671330332756042f, 0.469729602336884f, 0.671690583229065f, 0.469598054885864f, + 0.672050714492798f, 0.469466239213943f, 0.672410726547241f, 0.469334155321121f, + 0.672770678997040f, 0.469201773405075f, 0.673130512237549f, 0.469069123268127f, + 0.673490226268768f, 0.468936175107956f, 0.673849821090698f, 0.468802988529205f, + 0.674209356307983f, 0.468669503927231f, 0.674568772315979f, 0.468535751104355f, + 0.674928069114685f, 0.468401730060577f, 0.675287246704102f, 0.468267410993576f, + 0.675646364688873f, 0.468132823705673f, 0.676005363464355f, 0.467997968196869f, + 0.676364302635193f, 0.467862844467163f, 0.676723062992096f, 0.467727422714233f, + 0.677081763744354f, 0.467591762542725f, 0.677440345287323f, 0.467455804347992f, + 0.677798807621002f, 0.467319577932358f, 0.678157210350037f, 0.467183053493500f, + 0.678515493869781f, 0.467046260833740f, 0.678873658180237f, 0.466909229755402f, + 0.679231703281403f, 0.466771900653839f, 0.679589688777924f, 0.466634273529053f, + 0.679947495460510f, 0.466496407985687f, 0.680305242538452f, 0.466358244419098f, + 0.680662930011749f, 0.466219812631607f, 0.681020438671112f, 0.466081112623215f, + 0.681377887725830f, 0.465942144393921f, 0.681735157966614f, 0.465802878141403f, + 0.682092368602753f, 0.465663343667984f, 0.682449519634247f, 0.465523540973663f, + 0.682806491851807f, 0.465383470058441f, 0.683163404464722f, 0.465243130922318f, + 0.683520197868347f, 0.465102523565292f, 0.683876872062683f, 0.464961618185043f, + 0.684233427047729f, 0.464820444583893f, 0.684589862823486f, 0.464679002761841f, + 0.684946238994598f, 0.464537292718887f, 0.685302436351776f, 0.464395314455032f, + 0.685658574104309f, 0.464253038167953f, 0.686014592647552f, 0.464110493659973f, + 0.686370551586151f, 0.463967710733414f, 0.686726331710815f, 0.463824629783630f, + 0.687082052230835f, 0.463681250810623f, 0.687437593936920f, 0.463537633419037f, + 0.687793076038361f, 0.463393747806549f, 0.688148438930511f, 0.463249564170837f, + 0.688503682613373f, 0.463105112314224f, 0.688858866691589f, 0.462960392236710f, + 0.689213871955872f, 0.462815403938293f, 0.689568817615509f, 0.462670147418976f, + 0.689923584461212f, 0.462524622678757f, 0.690278291702271f, 0.462378799915314f, + 0.690632879734039f, 0.462232738733292f, 0.690987348556519f, 0.462086379528046f, + 0.691341698169708f, 0.461939752101898f, 0.691695988178253f, 0.461792886257172f, + 0.692050099372864f, 0.461645722389221f, 0.692404091358185f, 0.461498260498047f, + 0.692758023738861f, 0.461350560188293f, 0.693111836910248f, 0.461202591657639f, + 0.693465530872345f, 0.461054325103760f, 0.693819046020508f, 0.460905820131302f, + 0.694172501564026f, 0.460757017135620f, 0.694525837898254f, 0.460607945919037f, + 0.694879114627838f, 0.460458606481552f, 0.695232212543488f, 0.460309028625488f, + 0.695585191249847f, 0.460159152746201f, 0.695938050746918f, 0.460008978843689f, + 0.696290850639343f, 0.459858566522598f, 0.696643471717834f, 0.459707885980606f, + 0.696996033191681f, 0.459556937217712f, 0.697348415851593f, 0.459405690431595f, + 0.697700738906860f, 0.459254205226898f, 0.698052942752838f, 0.459102421998978f, + 0.698404967784882f, 0.458950400352478f, 0.698756933212280f, 0.458798080682755f, + 0.699108779430389f, 0.458645492792130f, 0.699460506439209f, 0.458492636680603f, + 0.699812114238739f, 0.458339542150497f, 0.700163602828979f, 0.458186149597168f, + 0.700514972209930f, 0.458032488822937f, 0.700866222381592f, 0.457878559827805f, + 0.701217353343964f, 0.457724362611771f, 0.701568365097046f, 0.457569897174835f, + 0.701919257640839f, 0.457415163516998f, 0.702270030975342f, 0.457260161638260f, + 0.702620685100555f, 0.457104891538620f, 0.702971220016479f, 0.456949323415756f, + 0.703321635723114f, 0.456793516874313f, 0.703671932220459f, 0.456637442111969f, + 0.704022109508514f, 0.456481099128723f, 0.704372167587280f, 0.456324487924576f, + 0.704722046852112f, 0.456167578697205f, 0.705071866512299f, 0.456010431051254f, + 0.705421566963196f, 0.455853015184402f, 0.705771148204803f, 0.455695331096649f, + 0.706120610237122f, 0.455537378787994f, 0.706469953060150f, 0.455379128456116f, + 0.706819176673889f, 0.455220639705658f, 0.707168221473694f, 0.455061882734299f, + 0.707517206668854f, 0.454902857542038f, 0.707866072654724f, 0.454743564128876f, + 0.708214759826660f, 0.454584002494812f, 0.708563387393951f, 0.454424172639847f, + 0.708911836147308f, 0.454264044761658f, 0.709260225296021f, 0.454103678464890f, + 0.709608435630798f, 0.453943043947220f, 0.709956526756287f, 0.453782171010971f, + 0.710304558277130f, 0.453621000051498f, 0.710652410984039f, 0.453459560871124f, + 0.711000144481659f, 0.453297853469849f, 0.711347758769989f, 0.453135877847672f, + 0.711695253849030f, 0.452973634004593f, 0.712042629718781f, 0.452811151742935f, + 0.712389826774597f, 0.452648371458054f, 0.712736964225769f, 0.452485352754593f, + 0.713083922863007f, 0.452322036027908f, 0.713430821895599f, 0.452158480882645f, + 0.713777542114258f, 0.451994657516479f, 0.714124143123627f, 0.451830536127090f, + 0.714470624923706f, 0.451666176319122f, 0.714816987514496f, 0.451501548290253f, + 0.715163230895996f, 0.451336652040482f, 0.715509355068207f, 0.451171487569809f, + 0.715855300426483f, 0.451006084680557f, 0.716201186180115f, 0.450840383768082f, + 0.716546893119812f, 0.450674414634705f, 0.716892480850220f, 0.450508207082748f, + 0.717238008975983f, 0.450341701507568f, 0.717583298683167f, 0.450174957513809f, + 0.717928528785706f, 0.450007945299149f, 0.718273639678955f, 0.449840664863586f, + 0.718618571758270f, 0.449673116207123f, 0.718963444232941f, 0.449505299329758f, + 0.719308137893677f, 0.449337244033813f, 0.719652712345123f, 0.449168890714645f, + 0.719997107982636f, 0.449000298976898f, 0.720341444015503f, 0.448831409215927f, + 0.720685660839081f, 0.448662281036377f, 0.721029698848724f, 0.448492884635925f, + 0.721373617649078f, 0.448323249816895f, 0.721717417240143f, 0.448153316974640f, + 0.722061097621918f, 0.447983115911484f, 0.722404599189758f, 0.447812676429749f, + 0.722747981548309f, 0.447641968727112f, 0.723091304302216f, 0.447470992803574f, + 0.723434448242188f, 0.447299748659134f, 0.723777413368225f, 0.447128236293793f, + 0.724120318889618f, 0.446956485509872f, 0.724463045597076f, 0.446784436702728f, + 0.724805653095245f, 0.446612149477005f, 0.725148141384125f, 0.446439594030380f, + 0.725490510463715f, 0.446266770362854f, 0.725832700729370f, 0.446093708276749f, + 0.726174771785736f, 0.445920348167419f, 0.726516723632813f, 0.445746749639511f, + 0.726858556270599f, 0.445572882890701f, 0.727200269699097f, 0.445398747920990f, + 0.727541804313660f, 0.445224374532700f, 0.727883219718933f, 0.445049703121185f, + 0.728224515914917f, 0.444874793291092f, 0.728565633296967f, 0.444699615240097f, + 0.728906631469727f, 0.444524168968201f, 0.729247510433197f, 0.444348484277725f, + 0.729588270187378f, 0.444172531366348f, 0.729928910732269f, 0.443996280431747f, + 0.730269372463226f, 0.443819820880890f, 0.730609714984894f, 0.443643063306808f, + 0.730949878692627f, 0.443466067314148f, 0.731289982795715f, 0.443288803100586f, + 0.731629908084869f, 0.443111270666122f, 0.731969714164734f, 0.442933470010757f, + 0.732309341430664f, 0.442755430936813f, 0.732648849487305f, 0.442577123641968f, + 0.732988238334656f, 0.442398548126221f, 0.733327507972717f, 0.442219734191895f, + 0.733666598796844f, 0.442040622234344f, 0.734005570411682f, 0.441861271858215f, + 0.734344422817230f, 0.441681683063507f, 0.734683096408844f, 0.441501796245575f, + 0.735021650791168f, 0.441321671009064f, 0.735360085964203f, 0.441141277551651f, + 0.735698342323303f, 0.440960645675659f, 0.736036539077759f, 0.440779715776443f, + 0.736374497413635f, 0.440598547458649f, 0.736712396144867f, 0.440417140722275f, + 0.737050116062164f, 0.440235435962677f, 0.737387716770172f, 0.440053492784500f, + 0.737725138664246f, 0.439871311187744f, 0.738062441349030f, 0.439688831567764f, + 0.738399624824524f, 0.439506113529205f, 0.738736629486084f, 0.439323127269745f, + 0.739073514938354f, 0.439139902591705f, 0.739410281181335f, 0.438956409692764f, + 0.739746868610382f, 0.438772648572922f, 0.740083336830139f, 0.438588619232178f, + 0.740419685840607f, 0.438404351472855f, 0.740755856037140f, 0.438219845294952f, + 0.741091907024384f, 0.438035041093826f, 0.741427779197693f, 0.437849998474121f, + 0.741763532161713f, 0.437664687633514f, 0.742099165916443f, 0.437479138374329f, + 0.742434620857239f, 0.437293320894241f, 0.742769956588745f, 0.437107264995575f, + 0.743105113506317f, 0.436920911073685f, 0.743440151214600f, 0.436734348535538f, + 0.743775069713593f, 0.436547487974167f, 0.744109809398651f, 0.436360388994217f, + 0.744444429874420f, 0.436173021793365f, 0.744778931140900f, 0.435985416173935f, + 0.745113253593445f, 0.435797542333603f, 0.745447397232056f, 0.435609430074692f, + 0.745781481266022f, 0.435421019792557f, 0.746115326881409f, 0.435232400894165f, + 0.746449112892151f, 0.435043483972549f, 0.746782720088959f, 0.434854328632355f, + 0.747116148471832f, 0.434664934873581f, 0.747449457645416f, 0.434475272893906f, + 0.747782647609711f, 0.434285342693329f, 0.748115658760071f, 0.434095174074173f, + 0.748448550701141f, 0.433904737234116f, 0.748781263828278f, 0.433714061975479f, + 0.749113857746124f, 0.433523118495941f, 0.749446272850037f, 0.433331936597824f, + 0.749778568744659f, 0.433140486478806f, 0.750110685825348f, 0.432948768138886f, + 0.750442683696747f, 0.432756811380386f, 0.750774562358856f, 0.432564586400986f, + 0.751106262207031f, 0.432372123003006f, 0.751437783241272f, 0.432179391384125f, + 0.751769185066223f, 0.431986421346664f, 0.752100467681885f, 0.431793183088303f, + 0.752431571483612f, 0.431599706411362f, 0.752762496471405f, 0.431405961513519f, + 0.753093302249908f, 0.431211978197098f, 0.753423988819122f, 0.431017726659775f, + 0.753754496574402f, 0.430823236703873f, 0.754084885120392f, 0.430628478527069f, + 0.754415094852448f, 0.430433481931686f, 0.754745125770569f, 0.430238217115402f, + 0.755075037479401f, 0.430042684078217f, 0.755404829978943f, 0.429846942424774f, + 0.755734443664551f, 0.429650902748108f, 0.756063878536224f, 0.429454624652863f, + 0.756393194198608f, 0.429258108139038f, 0.756722390651703f, 0.429061323404312f, + 0.757051348686218f, 0.428864300251007f, 0.757380247116089f, 0.428667008876801f, + 0.757708966732025f, 0.428469479084015f, 0.758037507534027f, 0.428271710872650f, + 0.758365929126740f, 0.428073674440384f, 0.758694171905518f, 0.427875369787216f, + 0.759022235870361f, 0.427676826715469f, 0.759350180625916f, 0.427478045225143f, + 0.759678006172180f, 0.427278995513916f, 0.760005652904511f, 0.427079707384110f, + 0.760333120822906f, 0.426880151033401f, 0.760660469532013f, 0.426680356264114f, + 0.760987639427185f, 0.426480293273926f, 0.761314690113068f, 0.426279991865158f, + 0.761641561985016f, 0.426079452037811f, 0.761968255043030f, 0.425878643989563f, + 0.762294828891754f, 0.425677597522736f, 0.762621283531189f, 0.425476282835007f, + 0.762947499752045f, 0.425274729728699f, 0.763273596763611f, 0.425072938203812f, + 0.763599574565887f, 0.424870878458023f, 0.763925373554230f, 0.424668580293655f, + 0.764250993728638f, 0.424466013908386f, 0.764576494693756f, 0.424263238906860f, + 0.764901816844940f, 0.424060165882111f, 0.765226960182190f, 0.423856884241104f, + 0.765551984310150f, 0.423653304576874f, 0.765876889228821f, 0.423449516296387f, + 0.766201555728912f, 0.423245459794998f, 0.766526103019714f, 0.423041164875031f, + 0.766850471496582f, 0.422836631536484f, 0.767174720764160f, 0.422631829977036f, + 0.767498791217804f, 0.422426789999008f, 0.767822742462158f, 0.422221481800079f, + 0.768146514892578f, 0.422015935182571f, 0.768470108509064f, 0.421810150146484f, + 0.768793523311615f, 0.421604126691818f, 0.769116818904877f, 0.421397835016251f, + 0.769439935684204f, 0.421191304922104f, 0.769762933254242f, 0.420984506607056f, + 0.770085752010345f, 0.420777499675751f, 0.770408391952515f, 0.420570224523544f, + 0.770730912685394f, 0.420362681150436f, 0.771053194999695f, 0.420154929161072f, + 0.771375417709351f, 0.419946908950806f, 0.771697402000427f, 0.419738620519638f, + 0.772019267082214f, 0.419530123472214f, 0.772340953350067f, 0.419321358203888f, + 0.772662520408630f, 0.419112354516983f, 0.772983849048615f, 0.418903112411499f, + 0.773305058479309f, 0.418693602085114f, 0.773626148700714f, 0.418483853340149f, + 0.773947000503540f, 0.418273866176605f, 0.774267733097076f, 0.418063640594482f, + 0.774588346481323f, 0.417853146791458f, 0.774908721446991f, 0.417642414569855f, + 0.775228977203369f, 0.417431443929672f, 0.775549054145813f, 0.417220205068588f, + 0.775869011878967f, 0.417008757591248f, 0.776188731193542f, 0.416797041893005f, + 0.776508331298828f, 0.416585087776184f, 0.776827812194824f, 0.416372895240784f, + 0.777147054672241f, 0.416160434484482f, 0.777466177940369f, 0.415947735309601f, + 0.777785122394562f, 0.415734797716141f, 0.778103888034821f, 0.415521621704102f, + 0.778422534465790f, 0.415308207273483f, 0.778741002082825f, 0.415094524621964f, + 0.779059290885925f, 0.414880603551865f, 0.779377400875092f, 0.414666473865509f, + 0.779695332050323f, 0.414452046155930f, 0.780013144016266f, 0.414237409830093f, + 0.780330777168274f, 0.414022535085678f, 0.780648231506348f, 0.413807392120361f, + 0.780965566635132f, 0.413592010736465f, 0.781282722949982f, 0.413376390933990f, + 0.781599700450897f, 0.413160532712936f, 0.781916499137878f, 0.412944436073303f, + 0.782233119010925f, 0.412728071212769f, 0.782549619674683f, 0.412511497735977f, + 0.782865881919861f, 0.412294656038284f, 0.783182024955750f, 0.412077575922012f, + 0.783498048782349f, 0.411860257387161f, 0.783813834190369f, 0.411642700433731f, + 0.784129500389099f, 0.411424905061722f, 0.784444928169250f, 0.411206841468811f, + 0.784760236740112f, 0.410988569259644f, 0.785075426101685f, 0.410770028829575f, + 0.785390377044678f, 0.410551249980927f, 0.785705149173737f, 0.410332232713699f, + 0.786019802093506f, 0.410112977027893f, 0.786334276199341f, 0.409893482923508f, + 0.786648571491241f, 0.409673750400543f, 0.786962687969208f, 0.409453779459000f, + 0.787276685237885f, 0.409233570098877f, 0.787590444087982f, 0.409013092517853f, + 0.787904083728790f, 0.408792406320572f, 0.788217544555664f, 0.408571451902390f, + 0.788530826568604f, 0.408350288867950f, 0.788843929767609f, 0.408128857612610f, + 0.789156913757324f, 0.407907217741013f, 0.789469659328461f, 0.407685309648514f, + 0.789782285690308f, 0.407463163137436f, 0.790094733238220f, 0.407240778207779f, + 0.790407001972198f, 0.407018154859543f, 0.790719091892242f, 0.406795293092728f, + 0.791031002998352f, 0.406572192907333f, 0.791342735290527f, 0.406348884105682f, + 0.791654348373413f, 0.406125307083130f, 0.791965723037720f, 0.405901491641998f, + 0.792276978492737f, 0.405677437782288f, 0.792588055133820f, 0.405453115701675f, + 0.792898952960968f, 0.405228585004807f, 0.793209671974182f, 0.405003815889359f, + 0.793520212173462f, 0.404778808355331f, 0.793830573558807f, 0.404553562402725f, + 0.794140756130219f, 0.404328078031540f, 0.794450819492340f, 0.404102355241776f, + 0.794760644435883f, 0.403876423835754f, 0.795070350170136f, 0.403650224208832f, + 0.795379877090454f, 0.403423786163330f, 0.795689165592194f, 0.403197109699249f, + 0.795998334884644f, 0.402970194816589f, 0.796307325363159f, 0.402743041515350f, + 0.796616137027740f, 0.402515679597855f, 0.796924769878387f, 0.402288049459457f, + 0.797233223915100f, 0.402060180902481f, 0.797541558742523f, 0.401832103729248f, + 0.797849655151367f, 0.401603758335114f, 0.798157572746277f, 0.401375204324722f, + 0.798465371131897f, 0.401146411895752f, 0.798772931098938f, 0.400917351245880f, + 0.799080371856689f, 0.400688081979752f, 0.799387574195862f, 0.400458574295044f, + 0.799694657325745f, 0.400228828191757f, 0.800001561641693f, 0.399998843669891f, + 0.800308227539063f, 0.399768620729446f, 0.800614774227142f, 0.399538189172745f, + 0.800921142101288f, 0.399307489395142f, 0.801227271556854f, 0.399076581001282f, + 0.801533281803131f, 0.398845434188843f, 0.801839113235474f, 0.398614019155502f, + 0.802144765853882f, 0.398382395505905f, 0.802450239658356f, 0.398150533437729f, + 0.802755534648895f, 0.397918462753296f, 0.803060650825500f, 0.397686123847961f, + 0.803365588188171f, 0.397453576326370f, 0.803670346736908f, 0.397220760583878f, + 0.803974866867065f, 0.396987736225128f, 0.804279267787933f, 0.396754473447800f, + 0.804583489894867f, 0.396520972251892f, 0.804887533187866f, 0.396287262439728f, + 0.805191397666931f, 0.396053284406662f, 0.805495083332062f, 0.395819097757339f, + 0.805798590183258f, 0.395584672689438f, 0.806101918220520f, 0.395350009202957f, + 0.806405067443848f, 0.395115107297897f, 0.806707978248596f, 0.394879996776581f, + 0.807010769844055f, 0.394644618034363f, 0.807313382625580f, 0.394409030675888f, + 0.807615816593170f, 0.394173204898834f, 0.807918012142181f, 0.393937170505524f, + 0.808220088481903f, 0.393700867891312f, 0.808521986007690f, 0.393464356660843f, + 0.808823645114899f, 0.393227607011795f, 0.809125185012817f, 0.392990618944168f, + 0.809426486492157f, 0.392753422260284f, 0.809727668762207f, 0.392515957355499f, + 0.810028612613678f, 0.392278283834457f, 0.810329377651215f, 0.392040401697159f, + 0.810629963874817f, 0.391802251338959f, 0.810930430889130f, 0.391563892364502f, + 0.811230659484863f, 0.391325294971466f, 0.811530709266663f, 0.391086459159851f, + 0.811830580234528f, 0.390847414731979f, 0.812130272388458f, 0.390608131885529f, + 0.812429726123810f, 0.390368610620499f, 0.812729060649872f, 0.390128880739212f, + 0.813028216362000f, 0.389888882637024f, 0.813327133655548f, 0.389648675918579f, + 0.813625931739807f, 0.389408260583878f, 0.813924491405487f, 0.389167606830597f, + 0.814222872257233f, 0.388926714658737f, 0.814521074295044f, 0.388685584068298f, + 0.814819097518921f, 0.388444244861603f, 0.815116941928864f, 0.388202667236328f, + 0.815414607524872f, 0.387960851192474f, 0.815712094306946f, 0.387718826532364f, + 0.816009342670441f, 0.387476563453674f, 0.816306471824646f, 0.387234061956406f, + 0.816603362560272f, 0.386991351842880f, 0.816900074481964f, 0.386748403310776f, + 0.817196667194366f, 0.386505216360092f, 0.817493021488190f, 0.386261820793152f, + 0.817789137363434f, 0.386018186807632f, 0.818085134029388f, 0.385774344205856f, + 0.818380951881409f, 0.385530263185501f, 0.818676531314850f, 0.385285943746567f, + 0.818971931934357f, 0.385041415691376f, 0.819267153739929f, 0.384796649217606f, + 0.819562196731567f, 0.384551674127579f, 0.819857060909271f, 0.384306460618973f, + 0.820151746273041f, 0.384061008691788f, 0.820446193218231f, 0.383815348148346f, + 0.820740520954132f, 0.383569449186325f, 0.821034610271454f, 0.383323341608047f, + 0.821328520774841f, 0.383076995611191f, 0.821622252464294f, 0.382830440998077f, + 0.821915745735168f, 0.382583618164063f, 0.822209119796753f, 0.382336616516113f, + 0.822502255439758f, 0.382089376449585f, 0.822795212268829f, 0.381841897964478f, + 0.823087990283966f, 0.381594210863113f, 0.823380589485168f, 0.381346285343170f, + 0.823673009872437f, 0.381098151206970f, 0.823965191841125f, 0.380849778652191f, + 0.824257194995880f, 0.380601197481155f, 0.824549019336700f, 0.380352377891541f, + 0.824840664863586f, 0.380103349685669f, 0.825132071971893f, 0.379854083061218f, + 0.825423359870911f, 0.379604607820511f, 0.825714409351349f, 0.379354894161224f, + 0.826005280017853f, 0.379104942083359f, 0.826295912265778f, 0.378854811191559f, + 0.826586425304413f, 0.378604412078857f, 0.826876699924469f, 0.378353834152222f, + 0.827166795730591f, 0.378102988004684f, 0.827456712722778f, 0.377851963043213f, + 0.827746450901031f, 0.377600699663162f, 0.828035950660706f, 0.377349197864532f, + 0.828325271606445f, 0.377097487449646f, 0.828614413738251f, 0.376845568418503f, + 0.828903317451477f, 0.376593410968781f, 0.829192101955414f, 0.376341015100479f, + 0.829480648040771f, 0.376088410615921f, 0.829769015312195f, 0.375835597515106f, + 0.830057144165039f, 0.375582575798035f, 0.830345153808594f, 0.375329315662384f, + 0.830632925033569f, 0.375075817108154f, 0.830920517444611f, 0.374822109937668f, + 0.831207871437073f, 0.374568194150925f, 0.831495106220245f, 0.374314039945602f, + 0.831782102584839f, 0.374059677124023f, 0.832068860530853f, 0.373805105686188f, + 0.832355499267578f, 0.373550295829773f, 0.832641899585724f, 0.373295277357101f, + 0.832928121089935f, 0.373040050268173f, 0.833214163780212f, 0.372784584760666f, + 0.833499968051910f, 0.372528880834579f, 0.833785593509674f, 0.372272998094559f, + 0.834071040153503f, 0.372016876935959f, 0.834356248378754f, 0.371760547161102f, + 0.834641277790070f, 0.371503978967667f, 0.834926128387451f, 0.371247202157974f, + 0.835210800170898f, 0.370990216732025f, 0.835495233535767f, 0.370732992887497f, + 0.835779488086700f, 0.370475560426712f, 0.836063504219055f, 0.370217919349670f, + 0.836347401142120f, 0.369960039854050f, 0.836631059646606f, 0.369701951742172f, + 0.836914479732513f, 0.369443655014038f, 0.837197780609131f, 0.369185149669647f, + 0.837480843067169f, 0.368926405906677f, 0.837763667106628f, 0.368667453527451f, + 0.838046371936798f, 0.368408292531967f, 0.838328838348389f, 0.368148893117905f, + 0.838611066341400f, 0.367889285087585f, 0.838893175125122f, 0.367629468441010f, + 0.839175045490265f, 0.367369443178177f, 0.839456677436829f, 0.367109179496765f, + 0.839738130569458f, 0.366848707199097f, 0.840019404888153f, 0.366588026285172f, + 0.840300500392914f, 0.366327136754990f, 0.840581357479095f, 0.366066008806229f, + 0.840862035751343f, 0.365804702043533f, 0.841142535209656f, 0.365543156862259f, + 0.841422796249390f, 0.365281373262405f, 0.841702818870544f, 0.365019410848618f, + 0.841982722282410f, 0.364757210016251f, 0.842262387275696f, 0.364494800567627f, + 0.842541813850403f, 0.364232182502747f, 0.842821121215820f, 0.363969355821610f, + 0.843100130558014f, 0.363706320524216f, 0.843379020690918f, 0.363443046808243f, + 0.843657672405243f, 0.363179564476013f, 0.843936145305634f, 0.362915903329849f, + 0.844214379787445f, 0.362651973962784f, 0.844492435455322f, 0.362387865781784f, + 0.844770252704620f, 0.362123548984528f, 0.845047891139984f, 0.361858993768692f, + 0.845325350761414f, 0.361594229936600f, 0.845602571964264f, 0.361329287290573f, + 0.845879614353180f, 0.361064106225967f, 0.846156477928162f, 0.360798716545105f, + 0.846433103084564f, 0.360533088445663f, 0.846709489822388f, 0.360267281532288f, + 0.846985757350922f, 0.360001266002655f, 0.847261726856232f, 0.359735012054443f, + 0.847537577152252f, 0.359468549489975f, 0.847813189029694f, 0.359201908111572f, + 0.848088562488556f, 0.358935028314590f, 0.848363757133484f, 0.358667939901352f, + 0.848638772964478f, 0.358400642871857f, 0.848913550376892f, 0.358133137226105f, + 0.849188148975372f, 0.357865422964096f, 0.849462509155273f, 0.357597470283508f, + 0.849736690521240f, 0.357329338788986f, 0.850010633468628f, 0.357060998678207f, + 0.850284397602081f, 0.356792420148849f, 0.850557923316956f, 0.356523662805557f, + 0.850831270217896f, 0.356254696846008f, 0.851104438304901f, 0.355985492467880f, + 0.851377367973328f, 0.355716109275818f, 0.851650118827820f, 0.355446487665176f, + 0.851922631263733f, 0.355176687240601f, 0.852194905281067f, 0.354906648397446f, + 0.852467060089111f, 0.354636400938034f, 0.852738916873932f, 0.354365974664688f, + 0.853010654449463f, 0.354095309972763f, 0.853282094001770f, 0.353824466466904f, + 0.853553414344788f, 0.353553384542465f, 0.853824436664581f, 0.353282123804092f, + 0.854095339775085f, 0.353010624647141f, 0.854365944862366f, 0.352738946676254f, + 0.854636430740356f, 0.352467030286789f, 0.854906618595123f, 0.352194935083389f, + 0.855176687240601f, 0.351922631263733f, 0.855446517467499f, 0.351650089025497f, + 0.855716109275818f, 0.351377367973328f, 0.855985522270203f, 0.351104438304901f, + 0.856254696846008f, 0.350831300020218f, 0.856523692607880f, 0.350557953119278f, + 0.856792449951172f, 0.350284397602081f, 0.857060968875885f, 0.350010633468628f, + 0.857329368591309f, 0.349736660718918f, 0.857597470283508f, 0.349462509155273f, + 0.857865393161774f, 0.349188119173050f, 0.858133137226105f, 0.348913550376892f, + 0.858400642871857f, 0.348638743162155f, 0.858667910099030f, 0.348363757133484f, + 0.858934998512268f, 0.348088562488556f, 0.859201908111572f, 0.347813159227371f, + 0.859468579292297f, 0.347537547349930f, 0.859735012054443f, 0.347261756658554f, + 0.860001266002655f, 0.346985727548599f, 0.860267281532288f, 0.346709519624710f, + 0.860533118247986f, 0.346433073282242f, 0.860798716545105f, 0.346156448125839f, + 0.861064076423645f, 0.345879614353180f, 0.861329257488251f, 0.345602601766586f, + 0.861594259738922f, 0.345325350761414f, 0.861859023571014f, 0.345047920942307f, + 0.862123548984528f, 0.344770282506943f, 0.862387895584106f, 0.344492435455322f, + 0.862652003765106f, 0.344214379787445f, 0.862915873527527f, 0.343936115503311f, + 0.863179564476013f, 0.343657672405243f, 0.863443076610565f, 0.343379020690918f, + 0.863706290721893f, 0.343100160360336f, 0.863969385623932f, 0.342821091413498f, + 0.864232182502747f, 0.342541843652725f, 0.864494800567627f, 0.342262357473373f, + 0.864757239818573f, 0.341982692480087f, 0.865019381046295f, 0.341702848672867f, + 0.865281403064728f, 0.341422766447067f, 0.865543127059937f, 0.341142505407333f, + 0.865804672241211f, 0.340862035751343f, 0.866066038608551f, 0.340581357479095f, + 0.866327106952667f, 0.340300500392914f, 0.866588056087494f, 0.340019434690475f, + 0.866848707199097f, 0.339738160371780f, 0.867109179496765f, 0.339456677436829f, + 0.867369413375854f, 0.339175015687943f, 0.867629468441010f, 0.338893145322800f, + 0.867889285087585f, 0.338611096143723f, 0.868148922920227f, 0.338328808546066f, + 0.868408262729645f, 0.338046342134476f, 0.868667483329773f, 0.337763696908951f, + 0.868926405906677f, 0.337480813264847f, 0.869185149669647f, 0.337197750806808f, + 0.869443655014038f, 0.336914509534836f, 0.869701981544495f, 0.336631029844284f, + 0.869960069656372f, 0.336347371339798f, 0.870217919349670f, 0.336063534021378f, + 0.870475590229034f, 0.335779488086700f, 0.870733022689819f, 0.335495233535767f, + 0.870990216732025f, 0.335210770368576f, 0.871247172355652f, 0.334926128387451f, + 0.871503949165344f, 0.334641307592392f, 0.871760547161102f, 0.334356248378754f, + 0.872016847133636f, 0.334071010351181f, 0.872272968292236f, 0.333785593509674f, + 0.872528910636902f, 0.333499968051910f, 0.872784554958344f, 0.333214133977890f, + 0.873040020465851f, 0.332928121089935f, 0.873295307159424f, 0.332641899585724f, + 0.873550295829773f, 0.332355499267578f, 0.873805105686188f, 0.332068890333176f, + 0.874059677124023f, 0.331782072782516f, 0.874314069747925f, 0.331495076417923f, + 0.874568223953247f, 0.331207901239395f, 0.874822139739990f, 0.330920487642288f, + 0.875075817108154f, 0.330632925033569f, 0.875329315662384f, 0.330345153808594f, + 0.875582575798035f, 0.330057173967361f, 0.875835597515106f, 0.329769015312195f, + 0.876088440418243f, 0.329480648040771f, 0.876341044902802f, 0.329192101955414f, + 0.876593410968781f, 0.328903347253799f, 0.876845538616180f, 0.328614413738251f, + 0.877097487449646f, 0.328325271606445f, 0.877349197864532f, 0.328035950660706f, + 0.877600669860840f, 0.327746421098709f, 0.877851963043213f, 0.327456712722778f, + 0.878103017807007f, 0.327166795730591f, 0.878353834152222f, 0.326876699924469f, + 0.878604412078857f, 0.326586425304413f, 0.878854811191559f, 0.326295942068100f, + 0.879104971885681f, 0.326005280017853f, 0.879354894161224f, 0.325714409351349f, + 0.879604578018188f, 0.325423330068588f, 0.879854083061218f, 0.325132101774216f, + 0.880103349685669f, 0.324840664863586f, 0.880352377891541f, 0.324549019336700f, + 0.880601167678833f, 0.324257194995880f, 0.880849778652191f, 0.323965191841125f, + 0.881098151206970f, 0.323672980070114f, 0.881346285343170f, 0.323380589485168f, + 0.881594181060791f, 0.323088020086288f, 0.881841897964478f, 0.322795242071152f, + 0.882089376449585f, 0.322502255439758f, 0.882336616516113f, 0.322209119796753f, + 0.882583618164063f, 0.321915775537491f, 0.882830440998077f, 0.321622252464294f, + 0.883076965808868f, 0.321328520774841f, 0.883323311805725f, 0.321034610271454f, + 0.883569478988647f, 0.320740520954132f, 0.883815348148346f, 0.320446223020554f, + 0.884061038494110f, 0.320151746273041f, 0.884306430816650f, 0.319857090711594f, + 0.884551644325256f, 0.319562226533890f, 0.884796679019928f, 0.319267183542252f, + 0.885041415691376f, 0.318971961736679f, 0.885285973548889f, 0.318676531314850f, + 0.885530233383179f, 0.318380922079086f, 0.885774314403534f, 0.318085134029388f, + 0.886018216609955f, 0.317789167165756f, 0.886261820793152f, 0.317492991685867f, + 0.886505246162415f, 0.317196637392044f, 0.886748373508453f, 0.316900104284287f, + 0.886991322040558f, 0.316603392362595f, 0.887234091758728f, 0.316306471824646f, + 0.887476563453674f, 0.316009372472763f, 0.887718796730042f, 0.315712094306946f, + 0.887960851192474f, 0.315414607524872f, 0.888202667236328f, 0.315116971731186f, + 0.888444244861603f, 0.314819127321243f, 0.888685584068298f, 0.314521104097366f, + 0.888926684856415f, 0.314222872257233f, 0.889167606830597f, 0.313924491405487f, + 0.889408230781555f, 0.313625901937485f, 0.889648675918579f, 0.313327133655548f, + 0.889888882637024f, 0.313028186559677f, 0.890128850936890f, 0.312729060649872f, + 0.890368640422821f, 0.312429755926132f, 0.890608131885529f, 0.312130242586136f, + 0.890847444534302f, 0.311830550432205f, 0.891086459159851f, 0.311530679464340f, + 0.891325294971466f, 0.311230629682541f, 0.891563892364502f, 0.310930401086807f, + 0.891802251338959f, 0.310629993677139f, 0.892040371894836f, 0.310329377651215f, + 0.892278313636780f, 0.310028612613678f, 0.892515957355499f, 0.309727638959885f, + 0.892753422260284f, 0.309426486492157f, 0.892990648746490f, 0.309125155210495f, + 0.893227577209473f, 0.308823645114899f, 0.893464326858521f, 0.308521956205368f, + 0.893700897693634f, 0.308220088481903f, 0.893937170505524f, 0.307918041944504f, + 0.894173204898834f, 0.307615786790848f, 0.894409060478210f, 0.307313382625580f, + 0.894644618034363f, 0.307010769844055f, 0.894879996776581f, 0.306708008050919f, + 0.895115137100220f, 0.306405037641525f, 0.895349979400635f, 0.306101888418198f, + 0.895584642887115f, 0.305798590183258f, 0.895819067955017f, 0.305495083332062f, + 0.896053314208984f, 0.305191397666931f, 0.896287262439728f, 0.304887533187866f, + 0.896520972251892f, 0.304583519697189f, 0.896754503250122f, 0.304279297590256f, + 0.896987736225128f, 0.303974896669388f, 0.897220790386200f, 0.303670316934586f, + 0.897453546524048f, 0.303365558385849f, 0.897686123847961f, 0.303060621023178f, + 0.897918462753296f, 0.302755534648895f, 0.898150563240051f, 0.302450239658356f, + 0.898382425308228f, 0.302144765853882f, 0.898614048957825f, 0.301839113235474f, + 0.898845434188843f, 0.301533311605453f, 0.899076581001282f, 0.301227301359177f, + 0.899307489395142f, 0.300921112298965f, 0.899538159370422f, 0.300614774227142f, + 0.899768650531769f, 0.300308227539063f, 0.899998843669891f, 0.300001531839371f, + 0.900228857994080f, 0.299694657325745f, 0.900458574295044f, 0.299387603998184f, + 0.900688111782074f, 0.299080342054367f, 0.900917351245880f, 0.298772931098938f, + 0.901146411895752f, 0.298465341329575f, 0.901375174522400f, 0.298157602548599f, + 0.901603758335114f, 0.297849655151367f, 0.901832103729248f, 0.297541528940201f, + 0.902060210704803f, 0.297233253717422f, 0.902288019657135f, 0.296924799680710f, + 0.902515649795532f, 0.296616137027740f, 0.902743041515350f, 0.296307325363159f, + 0.902970194816589f, 0.295998334884644f, 0.903197109699249f, 0.295689195394516f, + 0.903423786163330f, 0.295379847288132f, 0.903650224208832f, 0.295070350170136f, + 0.903876423835754f, 0.294760644435883f, 0.904102385044098f, 0.294450789690018f, + 0.904328107833862f, 0.294140785932541f, 0.904553592205048f, 0.293830573558807f, + 0.904778838157654f, 0.293520182371140f, 0.905003845691681f, 0.293209642171860f, + 0.905228614807129f, 0.292898923158646f, 0.905453145503998f, 0.292588025331497f, + 0.905677437782288f, 0.292276978492737f, 0.905901491641998f, 0.291965723037720f, + 0.906125307083130f, 0.291654318571091f, 0.906348884105682f, 0.291342735290527f, + 0.906572222709656f, 0.291031002998352f, 0.906795322895050f, 0.290719062089920f, + 0.907018184661865f, 0.290406972169876f, 0.907240808010101f, 0.290094703435898f, + 0.907463192939758f, 0.289782285690308f, 0.907685279846191f, 0.289469659328461f, + 0.907907187938690f, 0.289156883955002f, 0.908128857612610f, 0.288843959569931f, + 0.908350288867950f, 0.288530826568604f, 0.908571481704712f, 0.288217544555664f, + 0.908792436122894f, 0.287904083728790f, 0.909013092517853f, 0.287590473890305f, + 0.909233570098877f, 0.287276685237885f, 0.909453809261322f, 0.286962717771530f, + 0.909673750400543f, 0.286648571491241f, 0.909893512725830f, 0.286334276199341f, + 0.910112977027893f, 0.286019802093506f, 0.910332262516022f, 0.285705178976059f, + 0.910551249980927f, 0.285390377044678f, 0.910769999027252f, 0.285075396299362f, + 0.910988569259644f, 0.284760266542435f, 0.911206841468811f, 0.284444957971573f, + 0.911424875259399f, 0.284129470586777f, 0.911642670631409f, 0.283813834190369f, + 0.911860227584839f, 0.283498018980026f, 0.912077546119690f, 0.283182054758072f, + 0.912294626235962f, 0.282865911722183f, 0.912511467933655f, 0.282549589872360f, + 0.912728071212769f, 0.282233119010925f, 0.912944436073303f, 0.281916469335556f, + 0.913160502910614f, 0.281599670648575f, 0.913376390933990f, 0.281282693147659f, + 0.913592040538788f, 0.280965566635132f, 0.913807392120361f, 0.280648261308670f, + 0.914022505283356f, 0.280330777168274f, 0.914237439632416f, 0.280013144016266f, + 0.914452075958252f, 0.279695361852646f, 0.914666473865509f, 0.279377400875092f, + 0.914880633354187f, 0.279059261083603f, 0.915094554424286f, 0.278740972280502f, + 0.915308177471161f, 0.278422504663467f, 0.915521621704102f, 0.278103888034821f, + 0.915734827518463f, 0.277785122394562f, 0.915947735309601f, 0.277466177940369f, + 0.916160404682159f, 0.277147054672241f, 0.916372895240784f, 0.276827782392502f, + 0.916585087776184f, 0.276508361101151f, 0.916797041893005f, 0.276188760995865f, + 0.917008757591248f, 0.275868982076645f, 0.917220234870911f, 0.275549083948135f, + 0.917431414127350f, 0.275228977203369f, 0.917642414569855f, 0.274908751249313f, + 0.917853116989136f, 0.274588316679001f, 0.918063640594482f, 0.274267762899399f, + 0.918273866176605f, 0.273947030305862f, 0.918483853340149f, 0.273626148700714f, + 0.918693602085114f, 0.273305088281631f, 0.918903112411499f, 0.272983878850937f, + 0.919112324714661f, 0.272662490606308f, 0.919321358203888f, 0.272340953350067f, + 0.919530093669891f, 0.272019267082214f, 0.919738650321960f, 0.271697402000427f, + 0.919946908950806f, 0.271375387907028f, 0.920154929161072f, 0.271053224802017f, + 0.920362710952759f, 0.270730882883072f, 0.920570194721222f, 0.270408391952515f, + 0.920777499675751f, 0.270085722208023f, 0.920984506607056f, 0.269762933254242f, + 0.921191275119781f, 0.269439965486526f, 0.921397805213928f, 0.269116818904877f, + 0.921604096889496f, 0.268793523311615f, 0.921810150146484f, 0.268470078706741f, + 0.922015964984894f, 0.268146485090256f, 0.922221481800079f, 0.267822742462158f, + 0.922426760196686f, 0.267498821020126f, 0.922631800174713f, 0.267174720764160f, + 0.922836601734161f, 0.266850501298904f, 0.923041164875031f, 0.266526103019714f, + 0.923245489597321f, 0.266201555728912f, 0.923449516296387f, 0.265876859426498f, + 0.923653304576874f, 0.265552014112473f, 0.923856854438782f, 0.265226989984512f, + 0.924060165882111f, 0.264901816844940f, 0.924263238906860f, 0.264576494693756f, + 0.924466013908386f, 0.264250993728638f, 0.924668610095978f, 0.263925373554230f, + 0.924870908260345f, 0.263599574565887f, 0.925072908401489f, 0.263273626565933f, + 0.925274729728699f, 0.262947499752045f, 0.925476312637329f, 0.262621253728867f, + 0.925677597522736f, 0.262294828891754f, 0.925878643989563f, 0.261968284845352f, + 0.926079452037811f, 0.261641561985016f, 0.926280021667480f, 0.261314690113068f, + 0.926480293273926f, 0.260987639427185f, 0.926680326461792f, 0.260660469532013f, + 0.926880121231079f, 0.260333120822906f, 0.927079677581787f, 0.260005623102188f, + 0.927278995513916f, 0.259678006172180f, 0.927478015422821f, 0.259350210428238f, + 0.927676856517792f, 0.259022265672684f, 0.927875399589539f, 0.258694142103195f, + 0.928073644638062f, 0.258365899324417f, 0.928271710872650f, 0.258037507534027f, + 0.928469479084015f, 0.257708936929703f, 0.928667008876801f, 0.257380217313766f, + 0.928864300251007f, 0.257051378488541f, 0.929061353206635f, 0.256722360849380f, + 0.929258108139038f, 0.256393194198608f, 0.929454624652863f, 0.256063878536224f, + 0.929650902748108f, 0.255734413862228f, 0.929846942424774f, 0.255404800176620f, + 0.930042684078217f, 0.255075037479401f, 0.930238187313080f, 0.254745125770569f, + 0.930433452129364f, 0.254415065050125f, 0.930628478527069f, 0.254084855318069f, + 0.930823206901550f, 0.253754496574402f, 0.931017756462097f, 0.253423988819122f, + 0.931211948394775f, 0.253093332052231f, 0.931405961513519f, 0.252762526273727f, + 0.931599736213684f, 0.252431541681290f, 0.931793212890625f, 0.252100437879562f, + 0.931986451148987f, 0.251769185066223f, 0.932179391384125f, 0.251437783241272f, + 0.932372152805328f, 0.251106232404709f, 0.932564616203308f, 0.250774532556534f, + 0.932756841182709f, 0.250442683696747f, 0.932948768138886f, 0.250110685825348f, + 0.933140456676483f, 0.249778553843498f, 0.933331906795502f, 0.249446272850037f, + 0.933523118495941f, 0.249113827943802f, 0.933714091777802f, 0.248781248927116f, + 0.933904767036438f, 0.248448520898819f, 0.934095203876495f, 0.248115643858910f, + 0.934285342693329f, 0.247782632708550f, 0.934475243091583f, 0.247449472546577f, + 0.934664964675903f, 0.247116148471832f, 0.934854328632355f, 0.246782705187798f, + 0.935043513774872f, 0.246449097990990f, 0.935232400894165f, 0.246115356683731f, + 0.935421049594879f, 0.245781451463699f, 0.935609400272369f, 0.245447427034378f, + 0.935797572135925f, 0.245113238692284f, 0.935985386371613f, 0.244778916239738f, + 0.936173021793365f, 0.244444444775581f, 0.936360359191895f, 0.244109839200974f, + 0.936547517776489f, 0.243775084614754f, 0.936734318733215f, 0.243440181016922f, + 0.936920940876007f, 0.243105143308640f, 0.937107264995575f, 0.242769956588745f, + 0.937293350696564f, 0.242434620857239f, 0.937479138374329f, 0.242099151015282f, + 0.937664687633514f, 0.241763532161713f, 0.937849998474121f, 0.241427779197693f, + 0.938035070896149f, 0.241091892123222f, 0.938219845294952f, 0.240755841135979f, + 0.938404381275177f, 0.240419670939446f, 0.938588619232178f, 0.240083336830139f, + 0.938772618770599f, 0.239746883511543f, 0.938956379890442f, 0.239410281181335f, + 0.939139902591705f, 0.239073529839516f, 0.939323127269745f, 0.238736644387245f, + 0.939506113529205f, 0.238399609923363f, 0.939688861370087f, 0.238062441349030f, + 0.939871311187744f, 0.237725138664246f, 0.940053522586823f, 0.237387686967850f, + 0.940235435962677f, 0.237050101161003f, 0.940417110919952f, 0.236712381243706f, + 0.940598547458649f, 0.236374512314796f, 0.940779745578766f, 0.236036509275436f, + 0.940960645675659f, 0.235698372125626f, 0.941141307353973f, 0.235360085964203f, + 0.941321671009064f, 0.235021665692329f, 0.941501796245575f, 0.234683111310005f, + 0.941681683063507f, 0.234344407916069f, 0.941861271858215f, 0.234005570411682f, + 0.942040622234344f, 0.233666598796844f, 0.942219734191895f, 0.233327493071556f, + 0.942398548126221f, 0.232988253235817f, 0.942577123641968f, 0.232648864388466f, + 0.942755401134491f, 0.232309341430664f, 0.942933499813080f, 0.231969684362412f, + 0.943111240863800f, 0.231629893183708f, 0.943288803100586f, 0.231289967894554f, + 0.943466067314148f, 0.230949893593788f, 0.943643093109131f, 0.230609700083733f, + 0.943819820880890f, 0.230269357562065f, 0.943996310234070f, 0.229928880929947f, + 0.944172501564026f, 0.229588270187378f, 0.944348454475403f, 0.229247525334358f, + 0.944524168968201f, 0.228906646370888f, 0.944699645042419f, 0.228565633296967f, + 0.944874763488770f, 0.228224486112595f, 0.945049703121185f, 0.227883204817772f, + 0.945224344730377f, 0.227541789412498f, 0.945398747920990f, 0.227200239896774f, + 0.945572853088379f, 0.226858556270599f, 0.945746779441834f, 0.226516738533974f, + 0.945920348167419f, 0.226174786686897f, 0.946093678474426f, 0.225832715630531f, + 0.946266770362854f, 0.225490495562553f, 0.946439623832703f, 0.225148141384125f, + 0.946612179279327f, 0.224805667996407f, 0.946784436702728f, 0.224463045597076f, + 0.946956455707550f, 0.224120303988457f, 0.947128236293793f, 0.223777428269386f, + 0.947299718856812f, 0.223434418439865f, 0.947470963001251f, 0.223091274499893f, + 0.947641968727112f, 0.222748011350632f, 0.947812676429749f, 0.222404599189758f, + 0.947983145713806f, 0.222061067819595f, 0.948153316974640f, 0.221717402338982f, + 0.948323249816895f, 0.221373617649078f, 0.948492884635925f, 0.221029683947563f, + 0.948662281036377f, 0.220685631036758f, 0.948831439018250f, 0.220341444015503f, + 0.949000298976898f, 0.219997137784958f, 0.949168920516968f, 0.219652697443962f, + 0.949337244033813f, 0.219308122992516f, 0.949505329132080f, 0.218963414430618f, + 0.949673116207123f, 0.218618586659431f, 0.949840664863586f, 0.218273624777794f, + 0.950007975101471f, 0.217928543686867f, 0.950174987316132f, 0.217583328485489f, + 0.950341701507568f, 0.217237979173660f, 0.950508177280426f, 0.216892510652542f, + 0.950674414634705f, 0.216546908020973f, 0.950840353965759f, 0.216201186180115f, + 0.951006054878235f, 0.215855330228806f, 0.951171517372131f, 0.215509355068207f, + 0.951336681842804f, 0.215163245797157f, 0.951501548290253f, 0.214817002415657f, + 0.951666176319122f, 0.214470639824867f, 0.951830565929413f, 0.214124158024788f, + 0.951994657516479f, 0.213777542114258f, 0.952158451080322f, 0.213430806994438f, + 0.952322065830231f, 0.213083937764168f, 0.952485322952271f, 0.212736949324608f, + 0.952648401260376f, 0.212389841675758f, 0.952811121940613f, 0.212042599916458f, + 0.952973663806915f, 0.211695238947868f, 0.953135907649994f, 0.211347743868828f, + 0.953297853469849f, 0.211000129580498f, 0.953459560871124f, 0.210652396082878f, + 0.953620970249176f, 0.210304543375969f, 0.953782141208649f, 0.209956556558609f, + 0.953943073749542f, 0.209608450531960f, 0.954103708267212f, 0.209260210394859f, + 0.954264044761658f, 0.208911851048470f, 0.954424142837524f, 0.208563387393951f, + 0.954584002494812f, 0.208214774727821f, 0.954743564128876f, 0.207866057753563f, + 0.954902827739716f, 0.207517206668854f, 0.955061912536621f, 0.207168251276016f, + 0.955220639705658f, 0.206819161772728f, 0.955379128456116f, 0.206469938158989f, + 0.955537378787994f, 0.206120610237122f, 0.955695331096649f, 0.205771163105965f, + 0.955853044986725f, 0.205421581864357f, 0.956010460853577f, 0.205071896314621f, + 0.956167578697205f, 0.204722076654434f, 0.956324458122253f, 0.204372137784958f, + 0.956481099128723f, 0.204022079706192f, 0.956637442111969f, 0.203671902418137f, + 0.956793546676636f, 0.203321605920792f, 0.956949353218079f, 0.202971190214157f, + 0.957104861736298f, 0.202620655298233f, 0.957260131835938f, 0.202270001173019f, + 0.957415163516998f, 0.201919227838516f, 0.957569897174835f, 0.201568335294724f, + 0.957724332809448f, 0.201217323541641f, 0.957878530025482f, 0.200866192579269f, + 0.958032488822937f, 0.200514942407608f, 0.958186149597168f, 0.200163587927818f, + 0.958339512348175f, 0.199812099337578f, 0.958492636680603f, 0.199460506439209f, + 0.958645522594452f, 0.199108779430389f, 0.958798050880432f, 0.198756948113441f, + 0.958950400352478f, 0.198404997587204f, 0.959102451801300f, 0.198052927851677f, + 0.959254205226898f, 0.197700738906860f, 0.959405720233917f, 0.197348430752754f, + 0.959556937217712f, 0.196996018290520f, 0.959707856178284f, 0.196643486618996f, + 0.959858596324921f, 0.196290835738182f, 0.960008978843689f, 0.195938065648079f, + 0.960159122943878f, 0.195585191249847f, 0.960309028625488f, 0.195232197642326f, + 0.960458636283875f, 0.194879084825516f, 0.960607945919037f, 0.194525867700577f, + 0.960757017135620f, 0.194172516465187f, 0.960905790328979f, 0.193819075822830f, + 0.961054325103760f, 0.193465501070023f, 0.961202561855316f, 0.193111822009087f, + 0.961350560188293f, 0.192758023738861f, 0.961498260498047f, 0.192404121160507f, + 0.961645722389221f, 0.192050099372864f, 0.961792886257172f, 0.191695958375931f, + 0.961939752101898f, 0.191341713070869f, 0.962086379528046f, 0.190987363457680f, + 0.962232708930969f, 0.190632879734039f, 0.962378799915314f, 0.190278306603432f, + 0.962524592876434f, 0.189923599362373f, 0.962670147418976f, 0.189568802714348f, + 0.962815403938293f, 0.189213871955872f, 0.962960422039032f, 0.188858851790428f, + 0.963105142116547f, 0.188503712415695f, 0.963249564170837f, 0.188148453831673f, + 0.963393747806549f, 0.187793090939522f, 0.963537633419037f, 0.187437608838081f, + 0.963681280612946f, 0.187082037329674f, 0.963824629783630f, 0.186726331710815f, + 0.963967680931091f, 0.186370536684990f, 0.964110493659973f, 0.186014622449875f, + 0.964253067970276f, 0.185658603906631f, 0.964395284652710f, 0.185302466154099f, + 0.964537262916565f, 0.184946224093437f, 0.964679002761841f, 0.184589877724648f, + 0.964820444583893f, 0.184233412146568f, 0.964961588382721f, 0.183876842260361f, + 0.965102493762970f, 0.183520168066025f, 0.965243160724640f, 0.183163389563560f, + 0.965383470058441f, 0.182806491851807f, 0.965523540973663f, 0.182449504733086f, + 0.965663373470306f, 0.182092398405075f, 0.965802907943726f, 0.181735187768936f, + 0.965942144393921f, 0.181377857923508f, 0.966081082820892f, 0.181020438671112f, + 0.966219842433929f, 0.180662900209427f, 0.966358244419098f, 0.180305257439613f, + 0.966496407985687f, 0.179947525262833f, 0.966634273529053f, 0.179589673876762f, + 0.966771900653839f, 0.179231703281403f, 0.966909229755402f, 0.178873643279076f, + 0.967046260833740f, 0.178515478968620f, 0.967183053493500f, 0.178157210350037f, + 0.967319548130035f, 0.177798837423325f, 0.967455804347992f, 0.177440345287323f, + 0.967591762542725f, 0.177081763744354f, 0.967727422714233f, 0.176723077893257f, + 0.967862844467163f, 0.176364272832870f, 0.967997968196869f, 0.176005378365517f, + 0.968132853507996f, 0.175646379590034f, 0.968267440795898f, 0.175287276506424f, + 0.968401730060577f, 0.174928069114685f, 0.968535780906677f, 0.174568757414818f, + 0.968669533729553f, 0.174209341406822f, 0.968802988529205f, 0.173849821090698f, + 0.968936204910278f, 0.173490211367607f, 0.969069123268127f, 0.173130482435226f, + 0.969201743602753f, 0.172770664095879f, 0.969334125518799f, 0.172410741448402f, + 0.969466269016266f, 0.172050714492798f, 0.969598054885864f, 0.171690583229065f, + 0.969729602336884f, 0.171330362558365f, 0.969860911369324f, 0.170970037579536f, + 0.969991862773895f, 0.170609608292580f, 0.970122575759888f, 0.170249074697495f, + 0.970253050327301f, 0.169888436794281f, 0.970383226871490f, 0.169527709484100f, + 0.970513105392456f, 0.169166877865791f, 0.970642685890198f, 0.168805956840515f, + 0.970772027969360f, 0.168444931507111f, 0.970901072025299f, 0.168083801865578f, + 0.971029877662659f, 0.167722567915916f, 0.971158385276794f, 0.167361244559288f, + 0.971286594867706f, 0.166999831795692f, 0.971414566040039f, 0.166638299822807f, + 0.971542239189148f, 0.166276678442955f, 0.971669614315033f, 0.165914967656136f, + 0.971796751022339f, 0.165553152561188f, 0.971923589706421f, 0.165191248059273f, + 0.972050130367279f, 0.164829224348068f, 0.972176432609558f, 0.164467126131058f, + 0.972302436828613f, 0.164104923605919f, 0.972428143024445f, 0.163742616772652f, + 0.972553610801697f, 0.163380220532417f, 0.972678780555725f, 0.163017734885216f, + 0.972803652286530f, 0.162655144929886f, 0.972928285598755f, 0.162292465567589f, + 0.973052620887756f, 0.161929681897163f, 0.973176658153534f, 0.161566808819771f, + 0.973300457000732f, 0.161203846335411f, 0.973423957824707f, 0.160840779542923f, + 0.973547160625458f, 0.160477623343468f, 0.973670125007629f, 0.160114362835884f, + 0.973792791366577f, 0.159751012921333f, 0.973915159702301f, 0.159387573599815f, + 0.974037289619446f, 0.159024044871330f, 0.974159121513367f, 0.158660411834717f, + 0.974280655384064f, 0.158296689391136f, 0.974401950836182f, 0.157932877540588f, + 0.974522948265076f, 0.157568961381912f, 0.974643647670746f, 0.157204970717430f, + 0.974764108657837f, 0.156840875744820f, 0.974884271621704f, 0.156476691365242f, + 0.975004136562347f, 0.156112402677536f, 0.975123703479767f, 0.155748039484024f, + 0.975243031978607f, 0.155383571982384f, 0.975362062454224f, 0.155019029974937f, + 0.975480854511261f, 0.154654383659363f, 0.975599288940430f, 0.154289647936821f, + 0.975717484951019f, 0.153924822807312f, 0.975835442543030f, 0.153559908270836f, + 0.975953042507172f, 0.153194904327393f, 0.976070404052734f, 0.152829796075821f, + 0.976187527179718f, 0.152464613318443f, 0.976304292678833f, 0.152099341154099f, + 0.976420819759369f, 0.151733979582787f, 0.976537048816681f, 0.151368513703346f, + 0.976653039455414f, 0.151002973318100f, 0.976768672466278f, 0.150637343525887f, + 0.976884067058563f, 0.150271624326706f, 0.976999223232269f, 0.149905815720558f, + 0.977114021778107f, 0.149539917707443f, 0.977228581905365f, 0.149173930287361f, + 0.977342903614044f, 0.148807853460312f, 0.977456867694855f, 0.148441687226295f, + 0.977570593357086f, 0.148075446486473f, 0.977684020996094f, 0.147709101438522f, + 0.977797150611877f, 0.147342681884766f, 0.977910041809082f, 0.146976172924042f, + 0.978022634983063f, 0.146609574556351f, 0.978134930133820f, 0.146242901682854f, + 0.978246986865997f, 0.145876124501228f, 0.978358685970306f, 0.145509272813797f, + 0.978470146656036f, 0.145142331719399f, 0.978581368923187f, 0.144775316119194f, + 0.978692233562469f, 0.144408211112022f, 0.978802859783173f, 0.144041016697884f, + 0.978913187980652f, 0.143673732876778f, 0.979023277759552f, 0.143306359648705f, + 0.979133009910584f, 0.142938911914825f, 0.979242503643036f, 0.142571389675140f, + 0.979351758956909f, 0.142203763127327f, 0.979460656642914f, 0.141836062073708f, + 0.979569315910339f, 0.141468286514282f, 0.979677677154541f, 0.141100421547890f, + 0.979785740375519f, 0.140732467174530f, 0.979893565177917f, 0.140364438295364f, + 0.980001091957092f, 0.139996320009232f, 0.980108320713043f, 0.139628127217293f, + 0.980215251445770f, 0.139259845018387f, 0.980321943759918f, 0.138891488313675f, + 0.980428338050842f, 0.138523042201996f, 0.980534434318542f, 0.138154521584511f, + 0.980640232563019f, 0.137785911560059f, 0.980745792388916f, 0.137417227029800f, + 0.980851054191589f, 0.137048453092575f, 0.980956017971039f, 0.136679604649544f, + 0.981060683727264f, 0.136310681700706f, 0.981165111064911f, 0.135941669344902f, + 0.981269240379334f, 0.135572582483292f, 0.981373071670532f, 0.135203406214714f, + 0.981476604938507f, 0.134834155440331f, 0.981579899787903f, 0.134464830160141f, + 0.981682896614075f, 0.134095430374146f, 0.981785595417023f, 0.133725941181183f, + 0.981888055801392f, 0.133356377482414f, 0.981990158557892f, 0.132986739277840f, + 0.982092022895813f, 0.132617011666298f, 0.982193589210510f, 0.132247209548950f, + 0.982294917106628f, 0.131877332925797f, 0.982395887374878f, 0.131507381796837f, + 0.982496619224548f, 0.131137356162071f, 0.982597053050995f, 0.130767241120338f, + 0.982697248458862f, 0.130397051572800f, 0.982797086238861f, 0.130026802420616f, + 0.982896685600281f, 0.129656463861465f, 0.982995986938477f, 0.129286035895348f, + 0.983094990253448f, 0.128915548324585f, 0.983193755149841f, 0.128544986248016f, + 0.983292162418365f, 0.128174334764481f, 0.983390331268311f, 0.127803623676300f, + 0.983488261699677f, 0.127432823181152f, 0.983585834503174f, 0.127061963081360f, + 0.983683168888092f, 0.126691013574600f, 0.983780145645142f, 0.126320004463196f, + 0.983876943588257f, 0.125948905944824f, 0.983973383903503f, 0.125577747821808f, + 0.984069526195526f, 0.125206500291824f, 0.984165430068970f, 0.124835193157196f, + 0.984261035919189f, 0.124463804066181f, 0.984356343746185f, 0.124092340469360f, + 0.984451413154602f, 0.123720809817314f, 0.984546124935150f, 0.123349204659462f, + 0.984640598297119f, 0.122977524995804f, 0.984734773635864f, 0.122605770826340f, + 0.984828710556030f, 0.122233949601650f, 0.984922289848328f, 0.121862053871155f, + 0.985015630722046f, 0.121490091085434f, 0.985108673572540f, 0.121118053793907f, + 0.985201418399811f, 0.120745941996574f, 0.985293865203857f, 0.120373763144016f, + 0.985386073589325f, 0.120001509785652f, 0.985477983951569f, 0.119629189372063f, + 0.985569596290588f, 0.119256794452667f, 0.985660910606384f, 0.118884332478046f, + 0.985751926898956f, 0.118511803448200f, 0.985842704772949f, 0.118139199912548f, + 0.985933184623718f, 0.117766529321671f, 0.986023366451263f, 0.117393791675568f, + 0.986113250255585f, 0.117020979523659f, 0.986202836036682f, 0.116648100316525f, + 0.986292183399200f, 0.116275154054165f, 0.986381232738495f, 0.115902140736580f, + 0.986469984054565f, 0.115529052913189f, 0.986558437347412f, 0.115155905485153f, + 0.986646652221680f, 0.114782683551311f, 0.986734509468079f, 0.114409394562244f, + 0.986822128295898f, 0.114036038517952f, 0.986909449100494f, 0.113662622869015f, + 0.986996471881866f, 0.113289132714272f, 0.987083256244659f, 0.112915575504303f, + 0.987169682979584f, 0.112541958689690f, 0.987255871295929f, 0.112168267369270f, + 0.987341761589050f, 0.111794516444206f, 0.987427353858948f, 0.111420698463917f, + 0.987512648105621f, 0.111046813428402f, 0.987597703933716f, 0.110672861337662f, + 0.987682461738586f, 0.110298842191696f, 0.987766921520233f, 0.109924763441086f, + 0.987851083278656f, 0.109550617635250f, 0.987934947013855f, 0.109176412224770f, + 0.988018512725830f, 0.108802139759064f, 0.988101840019226f, 0.108427800238132f, + 0.988184869289398f, 0.108053401112556f, 0.988267600536346f, 0.107678934931755f, + 0.988350033760071f, 0.107304409146309f, 0.988432228565216f, 0.106929816305637f, + 0.988514065742493f, 0.106555156409740f, 0.988595664501190f, 0.106180444359779f, + 0.988676965236664f, 0.105805665254593f, 0.988757967948914f, 0.105430819094181f, + 0.988838672637939f, 0.105055920779705f, 0.988919138908386f, 0.104680955410004f, + 0.988999247550964f, 0.104305922985077f, 0.989079117774963f, 0.103930838406086f, + 0.989158689975739f, 0.103555686771870f, 0.989237964153290f, 0.103180475533009f, + 0.989316940307617f, 0.102805204689503f, 0.989395678043365f, 0.102429874241352f, + 0.989474058151245f, 0.102054484188557f, 0.989552199840546f, 0.101679034531116f, + 0.989630043506622f, 0.101303517818451f, 0.989707589149475f, 0.100927948951721f, + 0.989784896373749f, 0.100552320480347f, 0.989861845970154f, 0.100176624953747f, + 0.989938557147980f, 0.099800877273083f, 0.990014970302582f, 0.099425069987774f, + 0.990091085433960f, 0.099049203097820f, 0.990166902542114f, 0.098673284053802f, + 0.990242421627045f, 0.098297297954559f, 0.990317702293396f, 0.097921259701252f, + 0.990392625331879f, 0.097545161843300f, 0.990467309951782f, 0.097169004380703f, + 0.990541696548462f, 0.096792794764042f, 0.990615785121918f, 0.096416525542736f, + 0.990689575672150f, 0.096040196716785f, 0.990763127803802f, 0.095663815736771f, + 0.990836322307587f, 0.095287375152111f, 0.990909278392792f, 0.094910882413387f, + 0.990981936454773f, 0.094534330070019f, 0.991054296493530f, 0.094157725572586f, + 0.991126358509064f, 0.093781061470509f, 0.991198182106018f, 0.093404345214367f, + 0.991269648075104f, 0.093027576804161f, 0.991340875625610f, 0.092650748789310f, + 0.991411805152893f, 0.092273868620396f, 0.991482377052307f, 0.091896936297417f, + 0.991552770137787f, 0.091519944369793f, 0.991622805595398f, 0.091142900288105f, + 0.991692543029785f, 0.090765804052353f, 0.991762042045593f, 0.090388655662537f, + 0.991831183433533f, 0.090011447668076f, 0.991900086402893f, 0.089634194970131f, + 0.991968691349030f, 0.089256882667542f, 0.992036998271942f, 0.088879525661469f, + 0.992105066776276f, 0.088502109050751f, 0.992172777652740f, 0.088124647736549f, + 0.992240250110626f, 0.087747126817703f, 0.992307364940643f, 0.087369553744793f, + 0.992374241352081f, 0.086991935968399f, 0.992440819740295f, 0.086614266037941f, + 0.992507100105286f, 0.086236543953419f, 0.992573142051697f, 0.085858769714832f, + 0.992638826370239f, 0.085480943322182f, 0.992704212665558f, 0.085103072226048f, + 0.992769360542297f, 0.084725148975849f, 0.992834210395813f, 0.084347173571587f, + 0.992898762226105f, 0.083969146013260f, 0.992963016033173f, 0.083591073751450f, + 0.993026971817017f, 0.083212949335575f, 0.993090689182281f, 0.082834780216217f, + 0.993154048919678f, 0.082456558942795f, 0.993217170238495f, 0.082078292965889f, + 0.993279933929443f, 0.081699974834919f, 0.993342459201813f, 0.081321612000465f, + 0.993404686450958f, 0.080943197011948f, 0.993466615676880f, 0.080564737319946f, + 0.993528306484222f, 0.080186225473881f, 0.993589639663696f, 0.079807676374912f, + 0.993650734424591f, 0.079429075121880f, 0.993711471557617f, 0.079050421714783f, + 0.993771970272064f, 0.078671731054783f, 0.993832170963287f, 0.078292988240719f, + 0.993892073631287f, 0.077914200723171f, 0.993951678276062f, 0.077535368502140f, + 0.994010984897614f, 0.077156484127045f, 0.994070053100586f, 0.076777562499046f, + 0.994128763675690f, 0.076398596167564f, 0.994187235832214f, 0.076019577682018f, + 0.994245409965515f, 0.075640521943569f, 0.994303286075592f, 0.075261414051056f, + 0.994360864162445f, 0.074882268905640f, 0.994418144226074f, 0.074503071606159f, + 0.994475126266479f, 0.074123837053776f, 0.994531810283661f, 0.073744557797909f, + 0.994588255882263f, 0.073365233838558f, 0.994644403457642f, 0.072985872626305f, + 0.994700193405151f, 0.072606459259987f, 0.994755744934082f, 0.072227008640766f, + 0.994810998439789f, 0.071847513318062f, 0.994865953922272f, 0.071467980742455f, + 0.994920611381531f, 0.071088403463364f, 0.994975030422211f, 0.070708781480789f, + 0.995029091835022f, 0.070329122245312f, 0.995082914829254f, 0.069949418306351f, + 0.995136380195618f, 0.069569669663906f, 0.995189607143402f, 0.069189883768559f, + 0.995242536067963f, 0.068810060620308f, 0.995295166969299f, 0.068430192768574f, + 0.995347499847412f, 0.068050287663937f, 0.995399534702301f, 0.067670337855816f, + 0.995451331138611f, 0.067290350794792f, 0.995502769947052f, 0.066910326480865f, + 0.995553970336914f, 0.066530264914036f, 0.995604813098907f, 0.066150158643723f, + 0.995655417442322f, 0.065770015120506f, 0.995705723762512f, 0.065389834344387f, + 0.995755732059479f, 0.065009608864784f, 0.995805442333221f, 0.064629353582859f, + 0.995854854583740f, 0.064249053597450f, 0.995904028415680f, 0.063868723809719f, + 0.995952844619751f, 0.063488349318504f, 0.996001422405243f, 0.063107937574387f, + 0.996049642562866f, 0.062727488577366f, 0.996097624301910f, 0.062347009778023f, + 0.996145308017731f, 0.061966486275196f, 0.996192693710327f, 0.061585929244757f, + 0.996239781379700f, 0.061205338686705f, 0.996286571025848f, 0.060824707150459f, + 0.996333062648773f, 0.060444042086601f, 0.996379256248474f, 0.060063343495131f, + 0.996425211429596f, 0.059682607650757f, 0.996470808982849f, 0.059301838278770f, + 0.996516168117523f, 0.058921031653881f, 0.996561229228973f, 0.058540191501379f, + 0.996605992317200f, 0.058159314095974f, 0.996650457382202f, 0.057778406888247f, + 0.996694624423981f, 0.057397462427616f, 0.996738493442535f, 0.057016488164663f, + 0.996782064437866f, 0.056635476648808f, 0.996825337409973f, 0.056254431605339f, + 0.996868371963501f, 0.055873356759548f, 0.996911048889160f, 0.055492244660854f, + 0.996953487396240f, 0.055111102759838f, 0.996995627880096f, 0.054729927331209f, + 0.997037410736084f, 0.054348722100258f, 0.997078955173492f, 0.053967483341694f, + 0.997120201587677f, 0.053586211055517f, 0.997161149978638f, 0.053204908967018f, + 0.997201859951019f, 0.052823577076197f, 0.997242212295532f, 0.052442211657763f, + 0.997282266616821f, 0.052060816437006f, 0.997322082519531f, 0.051679391413927f, + 0.997361540794373f, 0.051297932863235f, 0.997400760650635f, 0.050916448235512f, + 0.997439682483673f, 0.050534930080175f, 0.997478306293488f, 0.050153385847807f, + 0.997516572475433f, 0.049771808087826f, 0.997554600238800f, 0.049390204250813f, + 0.997592389583588f, 0.049008570611477f, 0.997629821300507f, 0.048626907169819f, + 0.997666954994202f, 0.048245213925838f, 0.997703790664673f, 0.047863494604826f, + 0.997740387916565f, 0.047481749206781f, 0.997776627540588f, 0.047099970281124f, + 0.997812628746033f, 0.046718169003725f, 0.997848331928253f, 0.046336337924004f, + 0.997883677482605f, 0.045954477041960f, 0.997918784618378f, 0.045572593808174f, + 0.997953593730927f, 0.045190680772066f, 0.997988104820251f, 0.044808741658926f, + 0.998022377490997f, 0.044426776468754f, 0.998056292533875f, 0.044044785201550f, + 0.998089909553528f, 0.043662767857313f, 0.998123228549957f, 0.043280724436045f, + 0.998156309127808f, 0.042898654937744f, 0.998189091682434f, 0.042516563087702f, + 0.998221516609192f, 0.042134445160627f, 0.998253703117371f, 0.041752301156521f, + 0.998285591602325f, 0.041370131075382f, 0.998317182064056f, 0.040987938642502f, + 0.998348474502563f, 0.040605723857880f, 0.998379468917847f, 0.040223482996225f, + 0.998410165309906f, 0.039841219782829f, 0.998440563678741f, 0.039458930492401f, + 0.998470664024353f, 0.039076622575521f, 0.998500525951386f, 0.038694288581610f, + 0.998530030250549f, 0.038311932235956f, 0.998559296131134f, 0.037929553538561f, + 0.998588204383850f, 0.037547148764133f, 0.998616874217987f, 0.037164725363255f, + 0.998645246028900f, 0.036782283335924f, 0.998673319816589f, 0.036399815231562f, + 0.998701035976410f, 0.036017324775457f, 0.998728513717651f, 0.035634815692902f, + 0.998755753040314f, 0.035252287983894f, 0.998782634735107f, 0.034869734197855f, + 0.998809218406677f, 0.034487165510654f, 0.998835504055023f, 0.034104570746422f, + 0.998861551284790f, 0.033721961081028f, 0.998887240886688f, 0.033339329063892f, + 0.998912692070007f, 0.032956674695015f, 0.998937785625458f, 0.032574005424976f, + 0.998962640762329f, 0.032191313803196f, 0.998987197875977f, 0.031808607280254f, + 0.999011456966400f, 0.031425878405571f, 0.999035418033600f, 0.031043132767081f, + 0.999059081077576f, 0.030660368502140f, 0.999082446098328f, 0.030277585610747f, + 0.999105513095856f, 0.029894785955548f, 0.999128282070160f, 0.029511967673898f, + 0.999150753021240f, 0.029129132628441f, 0.999172985553741f, 0.028746278956532f, + 0.999194860458374f, 0.028363410383463f, 0.999216496944427f, 0.027980525046587f, + 0.999237775802612f, 0.027597622945905f, 0.999258816242218f, 0.027214704081416f, + 0.999279558658600f, 0.026831768453121f, 0.999299943447113f, 0.026448817923665f, + 0.999320089817047f, 0.026065852493048f, 0.999339938163757f, 0.025682870298624f, + 0.999359488487244f, 0.025299875065684f, 0.999378740787506f, 0.024916863068938f, + 0.999397754669189f, 0.024533838033676f, 0.999416410923004f, 0.024150796234608f, + 0.999434769153595f, 0.023767741397023f, 0.999452829360962f, 0.023384673520923f, + 0.999470651149750f, 0.023001590743661f, 0.999488115310669f, 0.022618494927883f, + 0.999505341053009f, 0.022235386073589f, 0.999522268772125f, 0.021852264180779f, + 0.999538838863373f, 0.021469129249454f, 0.999555170536041f, 0.021085981279612f, + 0.999571204185486f, 0.020702820271254f, 0.999586939811707f, 0.020319648087025f, + 0.999602377414703f, 0.019936462864280f, 0.999617516994476f, 0.019553268328309f, + 0.999632358551025f, 0.019170060753822f, 0.999646902084351f, 0.018786842003465f, + 0.999661207199097f, 0.018403612077236f, 0.999675154685974f, 0.018020370975137f, + 0.999688863754272f, 0.017637118697166f, 0.999702215194702f, 0.017253857105970f, + 0.999715328216553f, 0.016870586201549f, 0.999728083610535f, 0.016487304121256f, + 0.999740600585938f, 0.016104012727737f, 0.999752819538116f, 0.015720712020993f, + 0.999764680862427f, 0.015337402001023f, 0.999776303768158f, 0.014954082667828f, + 0.999787628650665f, 0.014570754021406f, 0.999798655509949f, 0.014187417924404f, + 0.999809384346008f, 0.013804072514176f, 0.999819874763489f, 0.013420719653368f, + 0.999830007553101f, 0.013037359341979f, 0.999839842319489f, 0.012653990648687f, + 0.999849438667297f, 0.012270614504814f, 0.999858677387238f, 0.011887230910361f, + 0.999867618083954f, 0.011503840796649f, 0.999876320362091f, 0.011120444163680f, + 0.999884724617004f, 0.010737040080130f, 0.999892771244049f, 0.010353630408645f, + 0.999900579452515f, 0.009970214217901f, 0.999908089637756f, 0.009586792439222f, + 0.999915301799774f, 0.009203365072608f, 0.999922215938568f, 0.008819932118058f, + 0.999928832054138f, 0.008436493575573f, 0.999935150146484f, 0.008053051307797f, + 0.999941170215607f, 0.007669602986425f, 0.999946892261505f, 0.007286150939763f, + 0.999952375888824f, 0.006902694236487f, 0.999957501888275f, 0.006519233807921f, + 0.999962329864502f, 0.006135769188404f, 0.999966919422150f, 0.005752300843596f, + 0.999971151351929f, 0.005368829704821f, 0.999975144863129f, 0.004985354840755f, + 0.999978840351105f, 0.004601877182722f, 0.999982178211212f, 0.004218397196382f, + 0.999985277652740f, 0.003834914416075f, 0.999988079071045f, 0.003451429307461f, + 0.999990582466125f, 0.003067942336202f, 0.999992787837982f, 0.002684453502297f, + 0.999994695186615f, 0.002300963038579f, 0.999996304512024f, 0.001917471294291f, + 0.999997675418854f, 0.001533978385851f, 0.999998688697815f, 0.001150484546088f, + 0.999999403953552f, 0.000766990066040f, 0.999999880790710f, 0.000383495149435f, + 1.000000000000000f, 0.000000000000023f, 0.999999880790710f, -0.000383495149435f, + 0.999999403953552f, -0.000766990066040f, 0.999998688697815f, -0.001150484546088f, + 0.999997675418854f, -0.001533978385851f, 0.999996304512024f, -0.001917471294291f, + 0.999994695186615f, -0.002300963038579f, 0.999992787837982f, -0.002684453502297f, + 0.999990582466125f, -0.003067942336202f, 0.999988079071045f, -0.003451429307461f, + 0.999985277652740f, -0.003834914416075f, 0.999982178211212f, -0.004218397196382f, + 0.999978840351105f, -0.004601877182722f, 0.999975144863129f, -0.004985354840755f, + 0.999971151351929f, -0.005368829704821f, 0.999966919422150f, -0.005752300843596f, + 0.999962329864502f, -0.006135769188404f, 0.999957501888275f, -0.006519233807921f, + 0.999952375888824f, -0.006902694236487f, 0.999946892261505f, -0.007286150939763f, + 0.999941170215607f, -0.007669602986425f, 0.999935150146484f, -0.008053051307797f, + 0.999928832054138f, -0.008436493575573f, 0.999922215938568f, -0.008819932118058f, + 0.999915301799774f, -0.009203365072608f, 0.999908089637756f, -0.009586792439222f, + 0.999900579452515f, -0.009970214217901f, 0.999892771244049f, -0.010353630408645f, + 0.999884724617004f, -0.010737040080130f, 0.999876320362091f, -0.011120444163680f, + 0.999867618083954f, -0.011503840796649f, 0.999858677387238f, -0.011887230910361f, + 0.999849438667297f, -0.012270614504814f, 0.999839842319489f, -0.012653990648687f, + 0.999830007553101f, -0.013037359341979f, 0.999819874763489f, -0.013420719653368f, + 0.999809384346008f, -0.013804072514176f, 0.999798655509949f, -0.014187417924404f, + 0.999787628650665f, -0.014570754021406f, 0.999776303768158f, -0.014954082667828f, + 0.999764680862427f, -0.015337402001023f, 0.999752819538116f, -0.015720712020993f, + 0.999740600585938f, -0.016104012727737f, 0.999728083610535f, -0.016487304121256f, + 0.999715328216553f, -0.016870586201549f, 0.999702215194702f, -0.017253857105970f, + 0.999688863754272f, -0.017637118697166f, 0.999675154685974f, -0.018020370975137f, + 0.999661207199097f, -0.018403612077236f, 0.999646902084351f, -0.018786842003465f, + 0.999632358551025f, -0.019170060753822f, 0.999617516994476f, -0.019553268328309f, + 0.999602377414703f, -0.019936462864280f, 0.999586939811707f, -0.020319648087025f, + 0.999571204185486f, -0.020702820271254f, 0.999555170536041f, -0.021085981279612f, + 0.999538838863373f, -0.021469129249454f, 0.999522268772125f, -0.021852264180779f, + 0.999505341053009f, -0.022235386073589f, 0.999488115310669f, -0.022618494927883f, + 0.999470651149750f, -0.023001590743661f, 0.999452829360962f, -0.023384673520923f, + 0.999434769153595f, -0.023767741397023f, 0.999416410923004f, -0.024150796234608f, + 0.999397754669189f, -0.024533838033676f, 0.999378740787506f, -0.024916863068938f, + 0.999359488487244f, -0.025299875065684f, 0.999339938163757f, -0.025682870298624f, + 0.999320089817047f, -0.026065852493048f, 0.999299943447113f, -0.026448817923665f, + 0.999279558658600f, -0.026831768453121f, 0.999258816242218f, -0.027214704081416f, + 0.999237775802612f, -0.027597622945905f, 0.999216496944427f, -0.027980525046587f, + 0.999194860458374f, -0.028363410383463f, 0.999172985553741f, -0.028746278956532f, + 0.999150753021240f, -0.029129132628441f, 0.999128282070160f, -0.029511967673898f, + 0.999105513095856f, -0.029894785955548f, 0.999082446098328f, -0.030277585610747f, + 0.999059081077576f, -0.030660368502140f, 0.999035418033600f, -0.031043132767081f, + 0.999011456966400f, -0.031425878405571f, 0.998987197875977f, -0.031808607280254f, + 0.998962640762329f, -0.032191313803196f, 0.998937785625458f, -0.032574005424976f, + 0.998912692070007f, -0.032956674695015f, 0.998887240886688f, -0.033339329063892f, + 0.998861551284790f, -0.033721961081028f, 0.998835504055023f, -0.034104570746422f, + 0.998809218406677f, -0.034487165510654f, 0.998782634735107f, -0.034869734197855f, + 0.998755753040314f, -0.035252287983894f, 0.998728513717651f, -0.035634815692902f, + 0.998701035976410f, -0.036017324775457f, 0.998673319816589f, -0.036399815231562f, + 0.998645246028900f, -0.036782283335924f, 0.998616874217987f, -0.037164725363255f, + 0.998588204383850f, -0.037547148764133f, 0.998559296131134f, -0.037929553538561f, + 0.998530030250549f, -0.038311932235956f, 0.998500525951386f, -0.038694288581610f, + 0.998470664024353f, -0.039076622575521f, 0.998440563678741f, -0.039458930492401f, + 0.998410165309906f, -0.039841219782829f, 0.998379468917847f, -0.040223482996225f, + 0.998348474502563f, -0.040605723857880f, 0.998317182064056f, -0.040987938642502f, + 0.998285591602325f, -0.041370131075382f, 0.998253703117371f, -0.041752301156521f, + 0.998221516609192f, -0.042134445160627f, 0.998189091682434f, -0.042516563087702f, + 0.998156309127808f, -0.042898654937744f, 0.998123228549957f, -0.043280724436045f, + 0.998089909553528f, -0.043662767857313f, 0.998056292533875f, -0.044044785201550f, + 0.998022377490997f, -0.044426776468754f, 0.997988104820251f, -0.044808741658926f, + 0.997953593730927f, -0.045190680772066f, 0.997918784618378f, -0.045572593808174f, + 0.997883677482605f, -0.045954477041960f, 0.997848331928253f, -0.046336337924004f, + 0.997812628746033f, -0.046718169003725f, 0.997776627540588f, -0.047099970281124f, + 0.997740387916565f, -0.047481749206781f, 0.997703790664673f, -0.047863494604826f, + 0.997666954994202f, -0.048245213925838f, 0.997629821300507f, -0.048626907169819f, + 0.997592389583588f, -0.049008570611477f, 0.997554600238800f, -0.049390204250813f, + 0.997516572475433f, -0.049771808087826f, 0.997478306293488f, -0.050153385847807f, + 0.997439682483673f, -0.050534930080175f, 0.997400760650635f, -0.050916448235512f, + 0.997361540794373f, -0.051297932863235f, 0.997322082519531f, -0.051679391413927f, + 0.997282266616821f, -0.052060816437006f, 0.997242212295532f, -0.052442211657763f, + 0.997201859951019f, -0.052823577076197f, 0.997161149978638f, -0.053204908967018f, + 0.997120201587677f, -0.053586211055517f, 0.997078955173492f, -0.053967483341694f, + 0.997037410736084f, -0.054348722100258f, 0.996995627880096f, -0.054729927331209f, + 0.996953487396240f, -0.055111102759838f, 0.996911048889160f, -0.055492244660854f, + 0.996868371963501f, -0.055873356759548f, 0.996825337409973f, -0.056254431605339f, + 0.996782064437866f, -0.056635476648808f, 0.996738493442535f, -0.057016488164663f, + 0.996694624423981f, -0.057397462427616f, 0.996650457382202f, -0.057778406888247f, + 0.996605992317200f, -0.058159314095974f, 0.996561229228973f, -0.058540191501379f, + 0.996516168117523f, -0.058921031653881f, 0.996470808982849f, -0.059301838278770f, + 0.996425211429596f, -0.059682607650757f, 0.996379256248474f, -0.060063343495131f, + 0.996333062648773f, -0.060444042086601f, 0.996286571025848f, -0.060824707150459f, + 0.996239781379700f, -0.061205338686705f, 0.996192693710327f, -0.061585929244757f, + 0.996145308017731f, -0.061966486275196f, 0.996097624301910f, -0.062347009778023f, + 0.996049642562866f, -0.062727488577366f, 0.996001422405243f, -0.063107937574387f, + 0.995952844619751f, -0.063488349318504f, 0.995904028415680f, -0.063868723809719f, + 0.995854854583740f, -0.064249053597450f, 0.995805442333221f, -0.064629353582859f, + 0.995755732059479f, -0.065009608864784f, 0.995705723762512f, -0.065389834344387f, + 0.995655417442322f, -0.065770015120506f, 0.995604813098907f, -0.066150158643723f, + 0.995553970336914f, -0.066530264914036f, 0.995502769947052f, -0.066910326480865f, + 0.995451331138611f, -0.067290350794792f, 0.995399534702301f, -0.067670337855816f, + 0.995347499847412f, -0.068050287663937f, 0.995295166969299f, -0.068430192768574f, + 0.995242536067963f, -0.068810060620308f, 0.995189607143402f, -0.069189883768559f, + 0.995136380195618f, -0.069569669663906f, 0.995082914829254f, -0.069949418306351f, + 0.995029091835022f, -0.070329122245312f, 0.994975030422211f, -0.070708781480789f, + 0.994920611381531f, -0.071088403463364f, 0.994865953922272f, -0.071467980742455f, + 0.994810998439789f, -0.071847513318062f, 0.994755744934082f, -0.072227008640766f, + 0.994700193405151f, -0.072606459259987f, 0.994644403457642f, -0.072985872626305f, + 0.994588255882263f, -0.073365233838558f, 0.994531810283661f, -0.073744557797909f, + 0.994475126266479f, -0.074123837053776f, 0.994418144226074f, -0.074503071606159f, + 0.994360864162445f, -0.074882268905640f, 0.994303286075592f, -0.075261414051056f, + 0.994245409965515f, -0.075640521943569f, 0.994187235832214f, -0.076019577682018f, + 0.994128763675690f, -0.076398596167564f, 0.994070053100586f, -0.076777562499046f, + 0.994010984897614f, -0.077156484127045f, 0.993951678276062f, -0.077535368502140f, + 0.993892073631287f, -0.077914200723171f, 0.993832170963287f, -0.078292988240719f, + 0.993771970272064f, -0.078671731054783f, 0.993711471557617f, -0.079050421714783f, + 0.993650734424591f, -0.079429075121880f, 0.993589639663696f, -0.079807676374912f, + 0.993528306484222f, -0.080186225473881f, 0.993466615676880f, -0.080564737319946f, + 0.993404686450958f, -0.080943197011948f, 0.993342459201813f, -0.081321612000465f, + 0.993279933929443f, -0.081699974834919f, 0.993217170238495f, -0.082078292965889f, + 0.993154048919678f, -0.082456558942795f, 0.993090689182281f, -0.082834780216217f, + 0.993026971817017f, -0.083212949335575f, 0.992963016033173f, -0.083591073751450f, + 0.992898762226105f, -0.083969146013260f, 0.992834210395813f, -0.084347173571587f, + 0.992769360542297f, -0.084725148975849f, 0.992704212665558f, -0.085103072226048f, + 0.992638826370239f, -0.085480943322182f, 0.992573142051697f, -0.085858769714832f, + 0.992507100105286f, -0.086236543953419f, 0.992440819740295f, -0.086614266037941f, + 0.992374241352081f, -0.086991935968399f, 0.992307364940643f, -0.087369553744793f, + 0.992240250110626f, -0.087747126817703f, 0.992172777652740f, -0.088124647736549f, + 0.992105066776276f, -0.088502109050751f, 0.992036998271942f, -0.088879525661469f, + 0.991968691349030f, -0.089256882667542f, 0.991900086402893f, -0.089634194970131f, + 0.991831183433533f, -0.090011447668076f, 0.991762042045593f, -0.090388655662537f, + 0.991692543029785f, -0.090765804052353f, 0.991622805595398f, -0.091142900288105f, + 0.991552770137787f, -0.091519944369793f, 0.991482377052307f, -0.091896936297417f, + 0.991411805152893f, -0.092273868620396f, 0.991340875625610f, -0.092650748789310f, + 0.991269648075104f, -0.093027576804161f, 0.991198182106018f, -0.093404345214367f, + 0.991126358509064f, -0.093781061470509f, 0.991054296493530f, -0.094157725572586f, + 0.990981936454773f, -0.094534330070019f, 0.990909278392792f, -0.094910882413387f, + 0.990836322307587f, -0.095287375152111f, 0.990763127803802f, -0.095663815736771f, + 0.990689575672150f, -0.096040196716785f, 0.990615785121918f, -0.096416525542736f, + 0.990541696548462f, -0.096792794764042f, 0.990467309951782f, -0.097169004380703f, + 0.990392625331879f, -0.097545161843300f, 0.990317702293396f, -0.097921259701252f, + 0.990242421627045f, -0.098297297954559f, 0.990166902542114f, -0.098673284053802f, + 0.990091085433960f, -0.099049203097820f, 0.990014970302582f, -0.099425069987774f, + 0.989938557147980f, -0.099800877273083f, 0.989861845970154f, -0.100176624953747f, + 0.989784896373749f, -0.100552320480347f, 0.989707589149475f, -0.100927948951721f, + 0.989630043506622f, -0.101303517818451f, 0.989552199840546f, -0.101679034531116f, + 0.989474058151245f, -0.102054484188557f, 0.989395678043365f, -0.102429874241352f, + 0.989316940307617f, -0.102805204689503f, 0.989237964153290f, -0.103180475533009f, + 0.989158689975739f, -0.103555686771870f, 0.989079117774963f, -0.103930838406086f, + 0.988999247550964f, -0.104305922985077f, 0.988919138908386f, -0.104680955410004f, + 0.988838672637939f, -0.105055920779705f, 0.988757967948914f, -0.105430819094181f, + 0.988676965236664f, -0.105805665254593f, 0.988595664501190f, -0.106180444359779f, + 0.988514065742493f, -0.106555156409740f, 0.988432228565216f, -0.106929816305637f, + 0.988350033760071f, -0.107304409146309f, 0.988267600536346f, -0.107678934931755f, + 0.988184869289398f, -0.108053401112556f, 0.988101840019226f, -0.108427800238132f, + 0.988018512725830f, -0.108802139759064f, 0.987934947013855f, -0.109176412224770f, + 0.987851083278656f, -0.109550617635250f, 0.987766921520233f, -0.109924763441086f, + 0.987682461738586f, -0.110298842191696f, 0.987597703933716f, -0.110672861337662f, + 0.987512648105621f, -0.111046813428402f, 0.987427353858948f, -0.111420698463917f, + 0.987341761589050f, -0.111794516444206f, 0.987255871295929f, -0.112168267369270f, + 0.987169682979584f, -0.112541958689690f, 0.987083256244659f, -0.112915575504303f, + 0.986996471881866f, -0.113289132714272f, 0.986909449100494f, -0.113662622869015f, + 0.986822128295898f, -0.114036038517952f, 0.986734509468079f, -0.114409394562244f, + 0.986646652221680f, -0.114782683551311f, 0.986558437347412f, -0.115155905485153f, + 0.986469984054565f, -0.115529052913189f, 0.986381232738495f, -0.115902140736580f, + 0.986292183399200f, -0.116275154054165f, 0.986202836036682f, -0.116648100316525f, + 0.986113250255585f, -0.117020979523659f, 0.986023366451263f, -0.117393791675568f, + 0.985933184623718f, -0.117766529321671f, 0.985842704772949f, -0.118139199912548f, + 0.985751926898956f, -0.118511803448200f, 0.985660910606384f, -0.118884332478046f, + 0.985569596290588f, -0.119256794452667f, 0.985477983951569f, -0.119629189372063f, + 0.985386073589325f, -0.120001509785652f, 0.985293865203857f, -0.120373763144016f, + 0.985201418399811f, -0.120745941996574f, 0.985108673572540f, -0.121118053793907f, + 0.985015630722046f, -0.121490091085434f, 0.984922289848328f, -0.121862053871155f, + 0.984828710556030f, -0.122233949601650f, 0.984734773635864f, -0.122605770826340f, + 0.984640598297119f, -0.122977524995804f, 0.984546124935150f, -0.123349204659462f, + 0.984451413154602f, -0.123720809817314f, 0.984356343746185f, -0.124092340469360f, + 0.984261035919189f, -0.124463804066181f, 0.984165430068970f, -0.124835193157196f, + 0.984069526195526f, -0.125206500291824f, 0.983973383903503f, -0.125577747821808f, + 0.983876943588257f, -0.125948905944824f, 0.983780145645142f, -0.126320004463196f, + 0.983683168888092f, -0.126691013574600f, 0.983585834503174f, -0.127061963081360f, + 0.983488261699677f, -0.127432823181152f, 0.983390331268311f, -0.127803623676300f, + 0.983292162418365f, -0.128174334764481f, 0.983193755149841f, -0.128544986248016f, + 0.983094990253448f, -0.128915548324585f, 0.982995986938477f, -0.129286035895348f, + 0.982896685600281f, -0.129656463861465f, 0.982797086238861f, -0.130026802420616f, + 0.982697248458862f, -0.130397051572800f, 0.982597053050995f, -0.130767241120338f, + 0.982496619224548f, -0.131137356162071f, 0.982395887374878f, -0.131507381796837f, + 0.982294917106628f, -0.131877332925797f, 0.982193589210510f, -0.132247209548950f, + 0.982092022895813f, -0.132617011666298f, 0.981990158557892f, -0.132986739277840f, + 0.981888055801392f, -0.133356377482414f, 0.981785595417023f, -0.133725941181183f, + 0.981682896614075f, -0.134095430374146f, 0.981579899787903f, -0.134464830160141f, + 0.981476604938507f, -0.134834155440331f, 0.981373071670532f, -0.135203406214714f, + 0.981269240379334f, -0.135572582483292f, 0.981165111064911f, -0.135941669344902f, + 0.981060683727264f, -0.136310681700706f, 0.980956017971039f, -0.136679604649544f, + 0.980851054191589f, -0.137048453092575f, 0.980745792388916f, -0.137417227029800f, + 0.980640232563019f, -0.137785911560059f, 0.980534434318542f, -0.138154521584511f, + 0.980428338050842f, -0.138523042201996f, 0.980321943759918f, -0.138891488313675f, + 0.980215251445770f, -0.139259845018387f, 0.980108320713043f, -0.139628127217293f, + 0.980001091957092f, -0.139996320009232f, 0.979893565177917f, -0.140364438295364f, + 0.979785740375519f, -0.140732467174530f, 0.979677677154541f, -0.141100421547890f, + 0.979569315910339f, -0.141468286514282f, 0.979460656642914f, -0.141836062073708f, + 0.979351758956909f, -0.142203763127327f, 0.979242503643036f, -0.142571389675140f, + 0.979133009910584f, -0.142938911914825f, 0.979023277759552f, -0.143306359648705f, + 0.978913187980652f, -0.143673732876778f, 0.978802859783173f, -0.144041016697884f, + 0.978692233562469f, -0.144408211112022f, 0.978581368923187f, -0.144775316119194f, + 0.978470146656036f, -0.145142331719399f, 0.978358685970306f, -0.145509272813797f, + 0.978246986865997f, -0.145876124501228f, 0.978134930133820f, -0.146242901682854f, + 0.978022634983063f, -0.146609574556351f, 0.977910041809082f, -0.146976172924042f, + 0.977797150611877f, -0.147342681884766f, 0.977684020996094f, -0.147709101438522f, + 0.977570593357086f, -0.148075446486473f, 0.977456867694855f, -0.148441687226295f, + 0.977342903614044f, -0.148807853460312f, 0.977228581905365f, -0.149173930287361f, + 0.977114021778107f, -0.149539917707443f, 0.976999223232269f, -0.149905815720558f, + 0.976884067058563f, -0.150271624326706f, 0.976768672466278f, -0.150637343525887f, + 0.976653039455414f, -0.151002973318100f, 0.976537048816681f, -0.151368513703346f, + 0.976420819759369f, -0.151733979582787f, 0.976304292678833f, -0.152099341154099f, + 0.976187527179718f, -0.152464613318443f, 0.976070404052734f, -0.152829796075821f, + 0.975953042507172f, -0.153194904327393f, 0.975835442543030f, -0.153559908270836f, + 0.975717484951019f, -0.153924822807312f, 0.975599288940430f, -0.154289647936821f, + 0.975480854511261f, -0.154654383659363f, 0.975362062454224f, -0.155019029974937f, + 0.975243031978607f, -0.155383571982384f, 0.975123703479767f, -0.155748039484024f, + 0.975004136562347f, -0.156112402677536f, 0.974884271621704f, -0.156476691365242f, + 0.974764108657837f, -0.156840875744820f, 0.974643647670746f, -0.157204970717430f, + 0.974522948265076f, -0.157568961381912f, 0.974401950836182f, -0.157932877540588f, + 0.974280655384064f, -0.158296689391136f, 0.974159121513367f, -0.158660411834717f, + 0.974037289619446f, -0.159024044871330f, 0.973915159702301f, -0.159387573599815f, + 0.973792791366577f, -0.159751012921333f, 0.973670125007629f, -0.160114362835884f, + 0.973547160625458f, -0.160477623343468f, 0.973423957824707f, -0.160840779542923f, + 0.973300457000732f, -0.161203846335411f, 0.973176658153534f, -0.161566808819771f, + 0.973052620887756f, -0.161929681897163f, 0.972928285598755f, -0.162292465567589f, + 0.972803652286530f, -0.162655144929886f, 0.972678780555725f, -0.163017734885216f, + 0.972553610801697f, -0.163380220532417f, 0.972428143024445f, -0.163742616772652f, + 0.972302436828613f, -0.164104923605919f, 0.972176432609558f, -0.164467126131058f, + 0.972050130367279f, -0.164829224348068f, 0.971923589706421f, -0.165191248059273f, + 0.971796751022339f, -0.165553152561188f, 0.971669614315033f, -0.165914967656136f, + 0.971542239189148f, -0.166276678442955f, 0.971414566040039f, -0.166638299822807f, + 0.971286594867706f, -0.166999831795692f, 0.971158385276794f, -0.167361244559288f, + 0.971029877662659f, -0.167722567915916f, 0.970901072025299f, -0.168083801865578f, + 0.970772027969360f, -0.168444931507111f, 0.970642685890198f, -0.168805956840515f, + 0.970513105392456f, -0.169166877865791f, 0.970383226871490f, -0.169527709484100f, + 0.970253050327301f, -0.169888436794281f, 0.970122575759888f, -0.170249074697495f, + 0.969991862773895f, -0.170609608292580f, 0.969860911369324f, -0.170970037579536f, + 0.969729602336884f, -0.171330362558365f, 0.969598054885864f, -0.171690583229065f, + 0.969466269016266f, -0.172050714492798f, 0.969334125518799f, -0.172410741448402f, + 0.969201743602753f, -0.172770664095879f, 0.969069123268127f, -0.173130482435226f, + 0.968936204910278f, -0.173490211367607f, 0.968802988529205f, -0.173849821090698f, + 0.968669533729553f, -0.174209341406822f, 0.968535780906677f, -0.174568757414818f, + 0.968401730060577f, -0.174928069114685f, 0.968267440795898f, -0.175287276506424f, + 0.968132853507996f, -0.175646379590034f, 0.967997968196869f, -0.176005378365517f, + 0.967862844467163f, -0.176364272832870f, 0.967727422714233f, -0.176723077893257f, + 0.967591762542725f, -0.177081763744354f, 0.967455804347992f, -0.177440345287323f, + 0.967319548130035f, -0.177798837423325f, 0.967183053493500f, -0.178157210350037f, + 0.967046260833740f, -0.178515478968620f, 0.966909229755402f, -0.178873643279076f, + 0.966771900653839f, -0.179231703281403f, 0.966634273529053f, -0.179589673876762f, + 0.966496407985687f, -0.179947525262833f, 0.966358244419098f, -0.180305257439613f, + 0.966219842433929f, -0.180662900209427f, 0.966081082820892f, -0.181020438671112f, + 0.965942144393921f, -0.181377857923508f, 0.965802907943726f, -0.181735187768936f, + 0.965663373470306f, -0.182092398405075f, 0.965523540973663f, -0.182449504733086f, + 0.965383470058441f, -0.182806491851807f, 0.965243160724640f, -0.183163389563560f, + 0.965102493762970f, -0.183520168066025f, 0.964961588382721f, -0.183876842260361f, + 0.964820444583893f, -0.184233412146568f, 0.964679002761841f, -0.184589877724648f, + 0.964537262916565f, -0.184946224093437f, 0.964395284652710f, -0.185302466154099f, + 0.964253067970276f, -0.185658603906631f, 0.964110493659973f, -0.186014622449875f, + 0.963967680931091f, -0.186370536684990f, 0.963824629783630f, -0.186726331710815f, + 0.963681280612946f, -0.187082037329674f, 0.963537633419037f, -0.187437608838081f, + 0.963393747806549f, -0.187793090939522f, 0.963249564170837f, -0.188148453831673f, + 0.963105142116547f, -0.188503712415695f, 0.962960422039032f, -0.188858851790428f, + 0.962815403938293f, -0.189213871955872f, 0.962670147418976f, -0.189568802714348f, + 0.962524592876434f, -0.189923599362373f, 0.962378799915314f, -0.190278306603432f, + 0.962232708930969f, -0.190632879734039f, 0.962086379528046f, -0.190987363457680f, + 0.961939752101898f, -0.191341713070869f, 0.961792886257172f, -0.191695958375931f, + 0.961645722389221f, -0.192050099372864f, 0.961498260498047f, -0.192404121160507f, + 0.961350560188293f, -0.192758023738861f, 0.961202561855316f, -0.193111822009087f, + 0.961054325103760f, -0.193465501070023f, 0.960905790328979f, -0.193819075822830f, + 0.960757017135620f, -0.194172516465187f, 0.960607945919037f, -0.194525867700577f, + 0.960458636283875f, -0.194879084825516f, 0.960309028625488f, -0.195232197642326f, + 0.960159122943878f, -0.195585191249847f, 0.960008978843689f, -0.195938065648079f, + 0.959858596324921f, -0.196290835738182f, 0.959707856178284f, -0.196643486618996f, + 0.959556937217712f, -0.196996018290520f, 0.959405720233917f, -0.197348430752754f, + 0.959254205226898f, -0.197700738906860f, 0.959102451801300f, -0.198052927851677f, + 0.958950400352478f, -0.198404997587204f, 0.958798050880432f, -0.198756948113441f, + 0.958645522594452f, -0.199108779430389f, 0.958492636680603f, -0.199460506439209f, + 0.958339512348175f, -0.199812099337578f, 0.958186149597168f, -0.200163587927818f, + 0.958032488822937f, -0.200514942407608f, 0.957878530025482f, -0.200866192579269f, + 0.957724332809448f, -0.201217323541641f, 0.957569897174835f, -0.201568335294724f, + 0.957415163516998f, -0.201919227838516f, 0.957260131835938f, -0.202270001173019f, + 0.957104861736298f, -0.202620655298233f, 0.956949353218079f, -0.202971190214157f, + 0.956793546676636f, -0.203321605920792f, 0.956637442111969f, -0.203671902418137f, + 0.956481099128723f, -0.204022079706192f, 0.956324458122253f, -0.204372137784958f, + 0.956167578697205f, -0.204722076654434f, 0.956010460853577f, -0.205071896314621f, + 0.955853044986725f, -0.205421581864357f, 0.955695331096649f, -0.205771163105965f, + 0.955537378787994f, -0.206120610237122f, 0.955379128456116f, -0.206469938158989f, + 0.955220639705658f, -0.206819161772728f, 0.955061912536621f, -0.207168251276016f, + 0.954902827739716f, -0.207517206668854f, 0.954743564128876f, -0.207866057753563f, + 0.954584002494812f, -0.208214774727821f, 0.954424142837524f, -0.208563387393951f, + 0.954264044761658f, -0.208911851048470f, 0.954103708267212f, -0.209260210394859f, + 0.953943073749542f, -0.209608450531960f, 0.953782141208649f, -0.209956556558609f, + 0.953620970249176f, -0.210304543375969f, 0.953459560871124f, -0.210652396082878f, + 0.953297853469849f, -0.211000129580498f, 0.953135907649994f, -0.211347743868828f, + 0.952973663806915f, -0.211695238947868f, 0.952811121940613f, -0.212042599916458f, + 0.952648401260376f, -0.212389841675758f, 0.952485322952271f, -0.212736949324608f, + 0.952322065830231f, -0.213083937764168f, 0.952158451080322f, -0.213430806994438f, + 0.951994657516479f, -0.213777542114258f, 0.951830565929413f, -0.214124158024788f, + 0.951666176319122f, -0.214470639824867f, 0.951501548290253f, -0.214817002415657f, + 0.951336681842804f, -0.215163245797157f, 0.951171517372131f, -0.215509355068207f, + 0.951006054878235f, -0.215855330228806f, 0.950840353965759f, -0.216201186180115f, + 0.950674414634705f, -0.216546908020973f, 0.950508177280426f, -0.216892510652542f, + 0.950341701507568f, -0.217237979173660f, 0.950174987316132f, -0.217583328485489f, + 0.950007975101471f, -0.217928543686867f, 0.949840664863586f, -0.218273624777794f, + 0.949673116207123f, -0.218618586659431f, 0.949505329132080f, -0.218963414430618f, + 0.949337244033813f, -0.219308122992516f, 0.949168920516968f, -0.219652697443962f, + 0.949000298976898f, -0.219997137784958f, 0.948831439018250f, -0.220341444015503f, + 0.948662281036377f, -0.220685631036758f, 0.948492884635925f, -0.221029683947563f, + 0.948323249816895f, -0.221373617649078f, 0.948153316974640f, -0.221717402338982f, + 0.947983145713806f, -0.222061067819595f, 0.947812676429749f, -0.222404599189758f, + 0.947641968727112f, -0.222748011350632f, 0.947470963001251f, -0.223091274499893f, + 0.947299718856812f, -0.223434418439865f, 0.947128236293793f, -0.223777428269386f, + 0.946956455707550f, -0.224120303988457f, 0.946784436702728f, -0.224463045597076f, + 0.946612179279327f, -0.224805667996407f, 0.946439623832703f, -0.225148141384125f, + 0.946266770362854f, -0.225490495562553f, 0.946093678474426f, -0.225832715630531f, + 0.945920348167419f, -0.226174786686897f, 0.945746779441834f, -0.226516738533974f, + 0.945572853088379f, -0.226858556270599f, 0.945398747920990f, -0.227200239896774f, + 0.945224344730377f, -0.227541789412498f, 0.945049703121185f, -0.227883204817772f, + 0.944874763488770f, -0.228224486112595f, 0.944699645042419f, -0.228565633296967f, + 0.944524168968201f, -0.228906646370888f, 0.944348454475403f, -0.229247525334358f, + 0.944172501564026f, -0.229588270187378f, 0.943996310234070f, -0.229928880929947f, + 0.943819820880890f, -0.230269357562065f, 0.943643093109131f, -0.230609700083733f, + 0.943466067314148f, -0.230949893593788f, 0.943288803100586f, -0.231289967894554f, + 0.943111240863800f, -0.231629893183708f, 0.942933499813080f, -0.231969684362412f, + 0.942755401134491f, -0.232309341430664f, 0.942577123641968f, -0.232648864388466f, + 0.942398548126221f, -0.232988253235817f, 0.942219734191895f, -0.233327493071556f, + 0.942040622234344f, -0.233666598796844f, 0.941861271858215f, -0.234005570411682f, + 0.941681683063507f, -0.234344407916069f, 0.941501796245575f, -0.234683111310005f, + 0.941321671009064f, -0.235021665692329f, 0.941141307353973f, -0.235360085964203f, + 0.940960645675659f, -0.235698372125626f, 0.940779745578766f, -0.236036509275436f, + 0.940598547458649f, -0.236374512314796f, 0.940417110919952f, -0.236712381243706f, + 0.940235435962677f, -0.237050101161003f, 0.940053522586823f, -0.237387686967850f, + 0.939871311187744f, -0.237725138664246f, 0.939688861370087f, -0.238062441349030f, + 0.939506113529205f, -0.238399609923363f, 0.939323127269745f, -0.238736644387245f, + 0.939139902591705f, -0.239073529839516f, 0.938956379890442f, -0.239410281181335f, + 0.938772618770599f, -0.239746883511543f, 0.938588619232178f, -0.240083336830139f, + 0.938404381275177f, -0.240419670939446f, 0.938219845294952f, -0.240755841135979f, + 0.938035070896149f, -0.241091892123222f, 0.937849998474121f, -0.241427779197693f, + 0.937664687633514f, -0.241763532161713f, 0.937479138374329f, -0.242099151015282f, + 0.937293350696564f, -0.242434620857239f, 0.937107264995575f, -0.242769956588745f, + 0.936920940876007f, -0.243105143308640f, 0.936734318733215f, -0.243440181016922f, + 0.936547517776489f, -0.243775084614754f, 0.936360359191895f, -0.244109839200974f, + 0.936173021793365f, -0.244444444775581f, 0.935985386371613f, -0.244778916239738f, + 0.935797572135925f, -0.245113238692284f, 0.935609400272369f, -0.245447427034378f, + 0.935421049594879f, -0.245781451463699f, 0.935232400894165f, -0.246115356683731f, + 0.935043513774872f, -0.246449097990990f, 0.934854328632355f, -0.246782705187798f, + 0.934664964675903f, -0.247116148471832f, 0.934475243091583f, -0.247449472546577f, + 0.934285342693329f, -0.247782632708550f, 0.934095203876495f, -0.248115643858910f, + 0.933904767036438f, -0.248448520898819f, 0.933714091777802f, -0.248781248927116f, + 0.933523118495941f, -0.249113827943802f, 0.933331906795502f, -0.249446272850037f, + 0.933140456676483f, -0.249778553843498f, 0.932948768138886f, -0.250110685825348f, + 0.932756841182709f, -0.250442683696747f, 0.932564616203308f, -0.250774532556534f, + 0.932372152805328f, -0.251106232404709f, 0.932179391384125f, -0.251437783241272f, + 0.931986451148987f, -0.251769185066223f, 0.931793212890625f, -0.252100437879562f, + 0.931599736213684f, -0.252431541681290f, 0.931405961513519f, -0.252762526273727f, + 0.931211948394775f, -0.253093332052231f, 0.931017756462097f, -0.253423988819122f, + 0.930823206901550f, -0.253754496574402f, 0.930628478527069f, -0.254084855318069f, + 0.930433452129364f, -0.254415065050125f, 0.930238187313080f, -0.254745125770569f, + 0.930042684078217f, -0.255075037479401f, 0.929846942424774f, -0.255404800176620f, + 0.929650902748108f, -0.255734413862228f, 0.929454624652863f, -0.256063878536224f, + 0.929258108139038f, -0.256393194198608f, 0.929061353206635f, -0.256722360849380f, + 0.928864300251007f, -0.257051378488541f, 0.928667008876801f, -0.257380217313766f, + 0.928469479084015f, -0.257708936929703f, 0.928271710872650f, -0.258037507534027f, + 0.928073644638062f, -0.258365899324417f, 0.927875399589539f, -0.258694142103195f, + 0.927676856517792f, -0.259022265672684f, 0.927478015422821f, -0.259350210428238f, + 0.927278995513916f, -0.259678006172180f, 0.927079677581787f, -0.260005623102188f, + 0.926880121231079f, -0.260333120822906f, 0.926680326461792f, -0.260660469532013f, + 0.926480293273926f, -0.260987639427185f, 0.926280021667480f, -0.261314690113068f, + 0.926079452037811f, -0.261641561985016f, 0.925878643989563f, -0.261968284845352f, + 0.925677597522736f, -0.262294828891754f, 0.925476312637329f, -0.262621253728867f, + 0.925274729728699f, -0.262947499752045f, 0.925072908401489f, -0.263273626565933f, + 0.924870908260345f, -0.263599574565887f, 0.924668610095978f, -0.263925373554230f, + 0.924466013908386f, -0.264250993728638f, 0.924263238906860f, -0.264576494693756f, + 0.924060165882111f, -0.264901816844940f, 0.923856854438782f, -0.265226989984512f, + 0.923653304576874f, -0.265552014112473f, 0.923449516296387f, -0.265876859426498f, + 0.923245489597321f, -0.266201555728912f, 0.923041164875031f, -0.266526103019714f, + 0.922836601734161f, -0.266850501298904f, 0.922631800174713f, -0.267174720764160f, + 0.922426760196686f, -0.267498821020126f, 0.922221481800079f, -0.267822742462158f, + 0.922015964984894f, -0.268146485090256f, 0.921810150146484f, -0.268470078706741f, + 0.921604096889496f, -0.268793523311615f, 0.921397805213928f, -0.269116818904877f, + 0.921191275119781f, -0.269439965486526f, 0.920984506607056f, -0.269762933254242f, + 0.920777499675751f, -0.270085722208023f, 0.920570194721222f, -0.270408391952515f, + 0.920362710952759f, -0.270730882883072f, 0.920154929161072f, -0.271053224802017f, + 0.919946908950806f, -0.271375387907028f, 0.919738650321960f, -0.271697402000427f, + 0.919530093669891f, -0.272019267082214f, 0.919321358203888f, -0.272340953350067f, + 0.919112324714661f, -0.272662490606308f, 0.918903112411499f, -0.272983878850937f, + 0.918693602085114f, -0.273305088281631f, 0.918483853340149f, -0.273626148700714f, + 0.918273866176605f, -0.273947030305862f, 0.918063640594482f, -0.274267762899399f, + 0.917853116989136f, -0.274588316679001f, 0.917642414569855f, -0.274908751249313f, + 0.917431414127350f, -0.275228977203369f, 0.917220234870911f, -0.275549083948135f, + 0.917008757591248f, -0.275868982076645f, 0.916797041893005f, -0.276188760995865f, + 0.916585087776184f, -0.276508361101151f, 0.916372895240784f, -0.276827782392502f, + 0.916160404682159f, -0.277147054672241f, 0.915947735309601f, -0.277466177940369f, + 0.915734827518463f, -0.277785122394562f, 0.915521621704102f, -0.278103888034821f, + 0.915308177471161f, -0.278422504663467f, 0.915094554424286f, -0.278740972280502f, + 0.914880633354187f, -0.279059261083603f, 0.914666473865509f, -0.279377400875092f, + 0.914452075958252f, -0.279695361852646f, 0.914237439632416f, -0.280013144016266f, + 0.914022505283356f, -0.280330777168274f, 0.913807392120361f, -0.280648261308670f, + 0.913592040538788f, -0.280965566635132f, 0.913376390933990f, -0.281282693147659f, + 0.913160502910614f, -0.281599670648575f, 0.912944436073303f, -0.281916469335556f, + 0.912728071212769f, -0.282233119010925f, 0.912511467933655f, -0.282549589872360f, + 0.912294626235962f, -0.282865911722183f, 0.912077546119690f, -0.283182054758072f, + 0.911860227584839f, -0.283498018980026f, 0.911642670631409f, -0.283813834190369f, + 0.911424875259399f, -0.284129470586777f, 0.911206841468811f, -0.284444957971573f, + 0.910988569259644f, -0.284760266542435f, 0.910769999027252f, -0.285075396299362f, + 0.910551249980927f, -0.285390377044678f, 0.910332262516022f, -0.285705178976059f, + 0.910112977027893f, -0.286019802093506f, 0.909893512725830f, -0.286334276199341f, + 0.909673750400543f, -0.286648571491241f, 0.909453809261322f, -0.286962717771530f, + 0.909233570098877f, -0.287276685237885f, 0.909013092517853f, -0.287590473890305f, + 0.908792436122894f, -0.287904083728790f, 0.908571481704712f, -0.288217544555664f, + 0.908350288867950f, -0.288530826568604f, 0.908128857612610f, -0.288843959569931f, + 0.907907187938690f, -0.289156883955002f, 0.907685279846191f, -0.289469659328461f, + 0.907463192939758f, -0.289782285690308f, 0.907240808010101f, -0.290094703435898f, + 0.907018184661865f, -0.290406972169876f, 0.906795322895050f, -0.290719062089920f, + 0.906572222709656f, -0.291031002998352f, 0.906348884105682f, -0.291342735290527f, + 0.906125307083130f, -0.291654318571091f, 0.905901491641998f, -0.291965723037720f, + 0.905677437782288f, -0.292276978492737f, 0.905453145503998f, -0.292588025331497f, + 0.905228614807129f, -0.292898923158646f, 0.905003845691681f, -0.293209642171860f, + 0.904778838157654f, -0.293520182371140f, 0.904553592205048f, -0.293830573558807f, + 0.904328107833862f, -0.294140785932541f, 0.904102385044098f, -0.294450789690018f, + 0.903876423835754f, -0.294760644435883f, 0.903650224208832f, -0.295070350170136f, + 0.903423786163330f, -0.295379847288132f, 0.903197109699249f, -0.295689195394516f, + 0.902970194816589f, -0.295998334884644f, 0.902743041515350f, -0.296307325363159f, + 0.902515649795532f, -0.296616137027740f, 0.902288019657135f, -0.296924799680710f, + 0.902060210704803f, -0.297233253717422f, 0.901832103729248f, -0.297541528940201f, + 0.901603758335114f, -0.297849655151367f, 0.901375174522400f, -0.298157602548599f, + 0.901146411895752f, -0.298465341329575f, 0.900917351245880f, -0.298772931098938f, + 0.900688111782074f, -0.299080342054367f, 0.900458574295044f, -0.299387603998184f, + 0.900228857994080f, -0.299694657325745f, 0.899998843669891f, -0.300001531839371f, + 0.899768650531769f, -0.300308227539063f, 0.899538159370422f, -0.300614774227142f, + 0.899307489395142f, -0.300921112298965f, 0.899076581001282f, -0.301227301359177f, + 0.898845434188843f, -0.301533311605453f, 0.898614048957825f, -0.301839113235474f, + 0.898382425308228f, -0.302144765853882f, 0.898150563240051f, -0.302450239658356f, + 0.897918462753296f, -0.302755534648895f, 0.897686123847961f, -0.303060621023178f, + 0.897453546524048f, -0.303365558385849f, 0.897220790386200f, -0.303670316934586f, + 0.896987736225128f, -0.303974896669388f, 0.896754503250122f, -0.304279297590256f, + 0.896520972251892f, -0.304583519697189f, 0.896287262439728f, -0.304887533187866f, + 0.896053314208984f, -0.305191397666931f, 0.895819067955017f, -0.305495083332062f, + 0.895584642887115f, -0.305798590183258f, 0.895349979400635f, -0.306101888418198f, + 0.895115137100220f, -0.306405037641525f, 0.894879996776581f, -0.306708008050919f, + 0.894644618034363f, -0.307010769844055f, 0.894409060478210f, -0.307313382625580f, + 0.894173204898834f, -0.307615786790848f, 0.893937170505524f, -0.307918041944504f, + 0.893700897693634f, -0.308220088481903f, 0.893464326858521f, -0.308521956205368f, + 0.893227577209473f, -0.308823645114899f, 0.892990648746490f, -0.309125155210495f, + 0.892753422260284f, -0.309426486492157f, 0.892515957355499f, -0.309727638959885f, + 0.892278313636780f, -0.310028612613678f, 0.892040371894836f, -0.310329377651215f, + 0.891802251338959f, -0.310629993677139f, 0.891563892364502f, -0.310930401086807f, + 0.891325294971466f, -0.311230629682541f, 0.891086459159851f, -0.311530679464340f, + 0.890847444534302f, -0.311830550432205f, 0.890608131885529f, -0.312130242586136f, + 0.890368640422821f, -0.312429755926132f, 0.890128850936890f, -0.312729060649872f, + 0.889888882637024f, -0.313028186559677f, 0.889648675918579f, -0.313327133655548f, + 0.889408230781555f, -0.313625901937485f, 0.889167606830597f, -0.313924491405487f, + 0.888926684856415f, -0.314222872257233f, 0.888685584068298f, -0.314521104097366f, + 0.888444244861603f, -0.314819127321243f, 0.888202667236328f, -0.315116971731186f, + 0.887960851192474f, -0.315414607524872f, 0.887718796730042f, -0.315712094306946f, + 0.887476563453674f, -0.316009372472763f, 0.887234091758728f, -0.316306471824646f, + 0.886991322040558f, -0.316603392362595f, 0.886748373508453f, -0.316900104284287f, + 0.886505246162415f, -0.317196637392044f, 0.886261820793152f, -0.317492991685867f, + 0.886018216609955f, -0.317789167165756f, 0.885774314403534f, -0.318085134029388f, + 0.885530233383179f, -0.318380922079086f, 0.885285973548889f, -0.318676531314850f, + 0.885041415691376f, -0.318971961736679f, 0.884796679019928f, -0.319267183542252f, + 0.884551644325256f, -0.319562226533890f, 0.884306430816650f, -0.319857090711594f, + 0.884061038494110f, -0.320151746273041f, 0.883815348148346f, -0.320446223020554f, + 0.883569478988647f, -0.320740520954132f, 0.883323311805725f, -0.321034610271454f, + 0.883076965808868f, -0.321328520774841f, 0.882830440998077f, -0.321622252464294f, + 0.882583618164063f, -0.321915775537491f, 0.882336616516113f, -0.322209119796753f, + 0.882089376449585f, -0.322502255439758f, 0.881841897964478f, -0.322795242071152f, + 0.881594181060791f, -0.323088020086288f, 0.881346285343170f, -0.323380589485168f, + 0.881098151206970f, -0.323672980070114f, 0.880849778652191f, -0.323965191841125f, + 0.880601167678833f, -0.324257194995880f, 0.880352377891541f, -0.324549019336700f, + 0.880103349685669f, -0.324840664863586f, 0.879854083061218f, -0.325132101774216f, + 0.879604578018188f, -0.325423330068588f, 0.879354894161224f, -0.325714409351349f, + 0.879104971885681f, -0.326005280017853f, 0.878854811191559f, -0.326295942068100f, + 0.878604412078857f, -0.326586425304413f, 0.878353834152222f, -0.326876699924469f, + 0.878103017807007f, -0.327166795730591f, 0.877851963043213f, -0.327456712722778f, + 0.877600669860840f, -0.327746421098709f, 0.877349197864532f, -0.328035950660706f, + 0.877097487449646f, -0.328325271606445f, 0.876845538616180f, -0.328614413738251f, + 0.876593410968781f, -0.328903347253799f, 0.876341044902802f, -0.329192101955414f, + 0.876088440418243f, -0.329480648040771f, 0.875835597515106f, -0.329769015312195f, + 0.875582575798035f, -0.330057173967361f, 0.875329315662384f, -0.330345153808594f, + 0.875075817108154f, -0.330632925033569f, 0.874822139739990f, -0.330920487642288f, + 0.874568223953247f, -0.331207901239395f, 0.874314069747925f, -0.331495076417923f, + 0.874059677124023f, -0.331782072782516f, 0.873805105686188f, -0.332068890333176f, + 0.873550295829773f, -0.332355499267578f, 0.873295307159424f, -0.332641899585724f, + 0.873040020465851f, -0.332928121089935f, 0.872784554958344f, -0.333214133977890f, + 0.872528910636902f, -0.333499968051910f, 0.872272968292236f, -0.333785593509674f, + 0.872016847133636f, -0.334071010351181f, 0.871760547161102f, -0.334356248378754f, + 0.871503949165344f, -0.334641307592392f, 0.871247172355652f, -0.334926128387451f, + 0.870990216732025f, -0.335210770368576f, 0.870733022689819f, -0.335495233535767f, + 0.870475590229034f, -0.335779488086700f, 0.870217919349670f, -0.336063534021378f, + 0.869960069656372f, -0.336347371339798f, 0.869701981544495f, -0.336631029844284f, + 0.869443655014038f, -0.336914509534836f, 0.869185149669647f, -0.337197750806808f, + 0.868926405906677f, -0.337480813264847f, 0.868667483329773f, -0.337763696908951f, + 0.868408262729645f, -0.338046342134476f, 0.868148922920227f, -0.338328808546066f, + 0.867889285087585f, -0.338611096143723f, 0.867629468441010f, -0.338893145322800f, + 0.867369413375854f, -0.339175015687943f, 0.867109179496765f, -0.339456677436829f, + 0.866848707199097f, -0.339738160371780f, 0.866588056087494f, -0.340019434690475f, + 0.866327106952667f, -0.340300500392914f, 0.866066038608551f, -0.340581357479095f, + 0.865804672241211f, -0.340862035751343f, 0.865543127059937f, -0.341142505407333f, + 0.865281403064728f, -0.341422766447067f, 0.865019381046295f, -0.341702848672867f, + 0.864757239818573f, -0.341982692480087f, 0.864494800567627f, -0.342262357473373f, + 0.864232182502747f, -0.342541843652725f, 0.863969385623932f, -0.342821091413498f, + 0.863706290721893f, -0.343100160360336f, 0.863443076610565f, -0.343379020690918f, + 0.863179564476013f, -0.343657672405243f, 0.862915873527527f, -0.343936115503311f, + 0.862652003765106f, -0.344214379787445f, 0.862387895584106f, -0.344492435455322f, + 0.862123548984528f, -0.344770282506943f, 0.861859023571014f, -0.345047920942307f, + 0.861594259738922f, -0.345325350761414f, 0.861329257488251f, -0.345602601766586f, + 0.861064076423645f, -0.345879614353180f, 0.860798716545105f, -0.346156448125839f, + 0.860533118247986f, -0.346433073282242f, 0.860267281532288f, -0.346709519624710f, + 0.860001266002655f, -0.346985727548599f, 0.859735012054443f, -0.347261756658554f, + 0.859468579292297f, -0.347537547349930f, 0.859201908111572f, -0.347813159227371f, + 0.858934998512268f, -0.348088562488556f, 0.858667910099030f, -0.348363757133484f, + 0.858400642871857f, -0.348638743162155f, 0.858133137226105f, -0.348913550376892f, + 0.857865393161774f, -0.349188119173050f, 0.857597470283508f, -0.349462509155273f, + 0.857329368591309f, -0.349736660718918f, 0.857060968875885f, -0.350010633468628f, + 0.856792449951172f, -0.350284397602081f, 0.856523692607880f, -0.350557953119278f, + 0.856254696846008f, -0.350831300020218f, 0.855985522270203f, -0.351104438304901f, + 0.855716109275818f, -0.351377367973328f, 0.855446517467499f, -0.351650089025497f, + 0.855176687240601f, -0.351922631263733f, 0.854906618595123f, -0.352194935083389f, + 0.854636430740356f, -0.352467030286789f, 0.854365944862366f, -0.352738946676254f, + 0.854095339775085f, -0.353010624647141f, 0.853824436664581f, -0.353282123804092f, + 0.853553414344788f, -0.353553384542465f, 0.853282094001770f, -0.353824466466904f, + 0.853010654449463f, -0.354095309972763f, 0.852738916873932f, -0.354365974664688f, + 0.852467060089111f, -0.354636400938034f, 0.852194905281067f, -0.354906648397446f, + 0.851922631263733f, -0.355176687240601f, 0.851650118827820f, -0.355446487665176f, + 0.851377367973328f, -0.355716109275818f, 0.851104438304901f, -0.355985492467880f, + 0.850831270217896f, -0.356254696846008f, 0.850557923316956f, -0.356523662805557f, + 0.850284397602081f, -0.356792420148849f, 0.850010633468628f, -0.357060998678207f, + 0.849736690521240f, -0.357329338788986f, 0.849462509155273f, -0.357597470283508f, + 0.849188148975372f, -0.357865422964096f, 0.848913550376892f, -0.358133137226105f, + 0.848638772964478f, -0.358400642871857f, 0.848363757133484f, -0.358667939901352f, + 0.848088562488556f, -0.358935028314590f, 0.847813189029694f, -0.359201908111572f, + 0.847537577152252f, -0.359468549489975f, 0.847261726856232f, -0.359735012054443f, + 0.846985757350922f, -0.360001266002655f, 0.846709489822388f, -0.360267281532288f, + 0.846433103084564f, -0.360533088445663f, 0.846156477928162f, -0.360798716545105f, + 0.845879614353180f, -0.361064106225967f, 0.845602571964264f, -0.361329287290573f, + 0.845325350761414f, -0.361594229936600f, 0.845047891139984f, -0.361858993768692f, + 0.844770252704620f, -0.362123548984528f, 0.844492435455322f, -0.362387865781784f, + 0.844214379787445f, -0.362651973962784f, 0.843936145305634f, -0.362915903329849f, + 0.843657672405243f, -0.363179564476013f, 0.843379020690918f, -0.363443046808243f, + 0.843100130558014f, -0.363706320524216f, 0.842821121215820f, -0.363969355821610f, + 0.842541813850403f, -0.364232182502747f, 0.842262387275696f, -0.364494800567627f, + 0.841982722282410f, -0.364757210016251f, 0.841702818870544f, -0.365019410848618f, + 0.841422796249390f, -0.365281373262405f, 0.841142535209656f, -0.365543156862259f, + 0.840862035751343f, -0.365804702043533f, 0.840581357479095f, -0.366066008806229f, + 0.840300500392914f, -0.366327136754990f, 0.840019404888153f, -0.366588026285172f, + 0.839738130569458f, -0.366848707199097f, 0.839456677436829f, -0.367109179496765f, + 0.839175045490265f, -0.367369443178177f, 0.838893175125122f, -0.367629468441010f, + 0.838611066341400f, -0.367889285087585f, 0.838328838348389f, -0.368148893117905f, + 0.838046371936798f, -0.368408292531967f, 0.837763667106628f, -0.368667453527451f, + 0.837480843067169f, -0.368926405906677f, 0.837197780609131f, -0.369185149669647f, + 0.836914479732513f, -0.369443655014038f, 0.836631059646606f, -0.369701951742172f, + 0.836347401142120f, -0.369960039854050f, 0.836063504219055f, -0.370217919349670f, + 0.835779488086700f, -0.370475560426712f, 0.835495233535767f, -0.370732992887497f, + 0.835210800170898f, -0.370990216732025f, 0.834926128387451f, -0.371247202157974f, + 0.834641277790070f, -0.371503978967667f, 0.834356248378754f, -0.371760547161102f, + 0.834071040153503f, -0.372016876935959f, 0.833785593509674f, -0.372272998094559f, + 0.833499968051910f, -0.372528880834579f, 0.833214163780212f, -0.372784584760666f, + 0.832928121089935f, -0.373040050268173f, 0.832641899585724f, -0.373295277357101f, + 0.832355499267578f, -0.373550295829773f, 0.832068860530853f, -0.373805105686188f, + 0.831782102584839f, -0.374059677124023f, 0.831495106220245f, -0.374314039945602f, + 0.831207871437073f, -0.374568194150925f, 0.830920517444611f, -0.374822109937668f, + 0.830632925033569f, -0.375075817108154f, 0.830345153808594f, -0.375329315662384f, + 0.830057144165039f, -0.375582575798035f, 0.829769015312195f, -0.375835597515106f, + 0.829480648040771f, -0.376088410615921f, 0.829192101955414f, -0.376341015100479f, + 0.828903317451477f, -0.376593410968781f, 0.828614413738251f, -0.376845568418503f, + 0.828325271606445f, -0.377097487449646f, 0.828035950660706f, -0.377349197864532f, + 0.827746450901031f, -0.377600699663162f, 0.827456712722778f, -0.377851963043213f, + 0.827166795730591f, -0.378102988004684f, 0.826876699924469f, -0.378353834152222f, + 0.826586425304413f, -0.378604412078857f, 0.826295912265778f, -0.378854811191559f, + 0.826005280017853f, -0.379104942083359f, 0.825714409351349f, -0.379354894161224f, + 0.825423359870911f, -0.379604607820511f, 0.825132071971893f, -0.379854083061218f, + 0.824840664863586f, -0.380103349685669f, 0.824549019336700f, -0.380352377891541f, + 0.824257194995880f, -0.380601197481155f, 0.823965191841125f, -0.380849778652191f, + 0.823673009872437f, -0.381098151206970f, 0.823380589485168f, -0.381346285343170f, + 0.823087990283966f, -0.381594210863113f, 0.822795212268829f, -0.381841897964478f, + 0.822502255439758f, -0.382089376449585f, 0.822209119796753f, -0.382336616516113f, + 0.821915745735168f, -0.382583618164063f, 0.821622252464294f, -0.382830440998077f, + 0.821328520774841f, -0.383076995611191f, 0.821034610271454f, -0.383323341608047f, + 0.820740520954132f, -0.383569449186325f, 0.820446193218231f, -0.383815348148346f, + 0.820151746273041f, -0.384061008691788f, 0.819857060909271f, -0.384306460618973f, + 0.819562196731567f, -0.384551674127579f, 0.819267153739929f, -0.384796649217606f, + 0.818971931934357f, -0.385041415691376f, 0.818676531314850f, -0.385285943746567f, + 0.818380951881409f, -0.385530263185501f, 0.818085134029388f, -0.385774344205856f, + 0.817789137363434f, -0.386018186807632f, 0.817493021488190f, -0.386261820793152f, + 0.817196667194366f, -0.386505216360092f, 0.816900074481964f, -0.386748403310776f, + 0.816603362560272f, -0.386991351842880f, 0.816306471824646f, -0.387234061956406f, + 0.816009342670441f, -0.387476563453674f, 0.815712094306946f, -0.387718826532364f, + 0.815414607524872f, -0.387960851192474f, 0.815116941928864f, -0.388202667236328f, + 0.814819097518921f, -0.388444244861603f, 0.814521074295044f, -0.388685584068298f, + 0.814222872257233f, -0.388926714658737f, 0.813924491405487f, -0.389167606830597f, + 0.813625931739807f, -0.389408260583878f, 0.813327133655548f, -0.389648675918579f, + 0.813028216362000f, -0.389888882637024f, 0.812729060649872f, -0.390128880739212f, + 0.812429726123810f, -0.390368610620499f, 0.812130272388458f, -0.390608131885529f, + 0.811830580234528f, -0.390847414731979f, 0.811530709266663f, -0.391086459159851f, + 0.811230659484863f, -0.391325294971466f, 0.810930430889130f, -0.391563892364502f, + 0.810629963874817f, -0.391802251338959f, 0.810329377651215f, -0.392040401697159f, + 0.810028612613678f, -0.392278283834457f, 0.809727668762207f, -0.392515957355499f, + 0.809426486492157f, -0.392753422260284f, 0.809125185012817f, -0.392990618944168f, + 0.808823645114899f, -0.393227607011795f, 0.808521986007690f, -0.393464356660843f, + 0.808220088481903f, -0.393700867891312f, 0.807918012142181f, -0.393937170505524f, + 0.807615816593170f, -0.394173204898834f, 0.807313382625580f, -0.394409030675888f, + 0.807010769844055f, -0.394644618034363f, 0.806707978248596f, -0.394879996776581f, + 0.806405067443848f, -0.395115107297897f, 0.806101918220520f, -0.395350009202957f, + 0.805798590183258f, -0.395584672689438f, 0.805495083332062f, -0.395819097757339f, + 0.805191397666931f, -0.396053284406662f, 0.804887533187866f, -0.396287262439728f, + 0.804583489894867f, -0.396520972251892f, 0.804279267787933f, -0.396754473447800f, + 0.803974866867065f, -0.396987736225128f, 0.803670346736908f, -0.397220760583878f, + 0.803365588188171f, -0.397453576326370f, 0.803060650825500f, -0.397686123847961f, + 0.802755534648895f, -0.397918462753296f, 0.802450239658356f, -0.398150533437729f, + 0.802144765853882f, -0.398382395505905f, 0.801839113235474f, -0.398614019155502f, + 0.801533281803131f, -0.398845434188843f, 0.801227271556854f, -0.399076581001282f, + 0.800921142101288f, -0.399307489395142f, 0.800614774227142f, -0.399538189172745f, + 0.800308227539063f, -0.399768620729446f, 0.800001561641693f, -0.399998843669891f, + 0.799694657325745f, -0.400228828191757f, 0.799387574195862f, -0.400458574295044f, + 0.799080371856689f, -0.400688081979752f, 0.798772931098938f, -0.400917351245880f, + 0.798465371131897f, -0.401146411895752f, 0.798157572746277f, -0.401375204324722f, + 0.797849655151367f, -0.401603758335114f, 0.797541558742523f, -0.401832103729248f, + 0.797233223915100f, -0.402060180902481f, 0.796924769878387f, -0.402288049459457f, + 0.796616137027740f, -0.402515679597855f, 0.796307325363159f, -0.402743041515350f, + 0.795998334884644f, -0.402970194816589f, 0.795689165592194f, -0.403197109699249f, + 0.795379877090454f, -0.403423786163330f, 0.795070350170136f, -0.403650224208832f, + 0.794760644435883f, -0.403876423835754f, 0.794450819492340f, -0.404102355241776f, + 0.794140756130219f, -0.404328078031540f, 0.793830573558807f, -0.404553562402725f, + 0.793520212173462f, -0.404778808355331f, 0.793209671974182f, -0.405003815889359f, + 0.792898952960968f, -0.405228585004807f, 0.792588055133820f, -0.405453115701675f, + 0.792276978492737f, -0.405677437782288f, 0.791965723037720f, -0.405901491641998f, + 0.791654348373413f, -0.406125307083130f, 0.791342735290527f, -0.406348884105682f, + 0.791031002998352f, -0.406572192907333f, 0.790719091892242f, -0.406795293092728f, + 0.790407001972198f, -0.407018154859543f, 0.790094733238220f, -0.407240778207779f, + 0.789782285690308f, -0.407463163137436f, 0.789469659328461f, -0.407685309648514f, + 0.789156913757324f, -0.407907217741013f, 0.788843929767609f, -0.408128857612610f, + 0.788530826568604f, -0.408350288867950f, 0.788217544555664f, -0.408571451902390f, + 0.787904083728790f, -0.408792406320572f, 0.787590444087982f, -0.409013092517853f, + 0.787276685237885f, -0.409233570098877f, 0.786962687969208f, -0.409453779459000f, + 0.786648571491241f, -0.409673750400543f, 0.786334276199341f, -0.409893482923508f, + 0.786019802093506f, -0.410112977027893f, 0.785705149173737f, -0.410332232713699f, + 0.785390377044678f, -0.410551249980927f, 0.785075426101685f, -0.410770028829575f, + 0.784760236740112f, -0.410988569259644f, 0.784444928169250f, -0.411206841468811f, + 0.784129500389099f, -0.411424905061722f, 0.783813834190369f, -0.411642700433731f, + 0.783498048782349f, -0.411860257387161f, 0.783182024955750f, -0.412077575922012f, + 0.782865881919861f, -0.412294656038284f, 0.782549619674683f, -0.412511497735977f, + 0.782233119010925f, -0.412728071212769f, 0.781916499137878f, -0.412944436073303f, + 0.781599700450897f, -0.413160532712936f, 0.781282722949982f, -0.413376390933990f, + 0.780965566635132f, -0.413592010736465f, 0.780648231506348f, -0.413807392120361f, + 0.780330777168274f, -0.414022535085678f, 0.780013144016266f, -0.414237409830093f, + 0.779695332050323f, -0.414452046155930f, 0.779377400875092f, -0.414666473865509f, + 0.779059290885925f, -0.414880603551865f, 0.778741002082825f, -0.415094524621964f, + 0.778422534465790f, -0.415308207273483f, 0.778103888034821f, -0.415521621704102f, + 0.777785122394562f, -0.415734797716141f, 0.777466177940369f, -0.415947735309601f, + 0.777147054672241f, -0.416160434484482f, 0.776827812194824f, -0.416372895240784f, + 0.776508331298828f, -0.416585087776184f, 0.776188731193542f, -0.416797041893005f, + 0.775869011878967f, -0.417008757591248f, 0.775549054145813f, -0.417220205068588f, + 0.775228977203369f, -0.417431443929672f, 0.774908721446991f, -0.417642414569855f, + 0.774588346481323f, -0.417853146791458f, 0.774267733097076f, -0.418063640594482f, + 0.773947000503540f, -0.418273866176605f, 0.773626148700714f, -0.418483853340149f, + 0.773305058479309f, -0.418693602085114f, 0.772983849048615f, -0.418903112411499f, + 0.772662520408630f, -0.419112354516983f, 0.772340953350067f, -0.419321358203888f, + 0.772019267082214f, -0.419530123472214f, 0.771697402000427f, -0.419738620519638f, + 0.771375417709351f, -0.419946908950806f, 0.771053194999695f, -0.420154929161072f, + 0.770730912685394f, -0.420362681150436f, 0.770408391952515f, -0.420570224523544f, + 0.770085752010345f, -0.420777499675751f, 0.769762933254242f, -0.420984506607056f, + 0.769439935684204f, -0.421191304922104f, 0.769116818904877f, -0.421397835016251f, + 0.768793523311615f, -0.421604126691818f, 0.768470108509064f, -0.421810150146484f, + 0.768146514892578f, -0.422015935182571f, 0.767822742462158f, -0.422221481800079f, + 0.767498791217804f, -0.422426789999008f, 0.767174720764160f, -0.422631829977036f, + 0.766850471496582f, -0.422836631536484f, 0.766526103019714f, -0.423041164875031f, + 0.766201555728912f, -0.423245459794998f, 0.765876889228821f, -0.423449516296387f, + 0.765551984310150f, -0.423653304576874f, 0.765226960182190f, -0.423856884241104f, + 0.764901816844940f, -0.424060165882111f, 0.764576494693756f, -0.424263238906860f, + 0.764250993728638f, -0.424466013908386f, 0.763925373554230f, -0.424668580293655f, + 0.763599574565887f, -0.424870878458023f, 0.763273596763611f, -0.425072938203812f, + 0.762947499752045f, -0.425274729728699f, 0.762621283531189f, -0.425476282835007f, + 0.762294828891754f, -0.425677597522736f, 0.761968255043030f, -0.425878643989563f, + 0.761641561985016f, -0.426079452037811f, 0.761314690113068f, -0.426279991865158f, + 0.760987639427185f, -0.426480293273926f, 0.760660469532013f, -0.426680356264114f, + 0.760333120822906f, -0.426880151033401f, 0.760005652904511f, -0.427079707384110f, + 0.759678006172180f, -0.427278995513916f, 0.759350180625916f, -0.427478045225143f, + 0.759022235870361f, -0.427676826715469f, 0.758694171905518f, -0.427875369787216f, + 0.758365929126740f, -0.428073674440384f, 0.758037507534027f, -0.428271710872650f, + 0.757708966732025f, -0.428469479084015f, 0.757380247116089f, -0.428667008876801f, + 0.757051348686218f, -0.428864300251007f, 0.756722390651703f, -0.429061323404312f, + 0.756393194198608f, -0.429258108139038f, 0.756063878536224f, -0.429454624652863f, + 0.755734443664551f, -0.429650902748108f, 0.755404829978943f, -0.429846942424774f, + 0.755075037479401f, -0.430042684078217f, 0.754745125770569f, -0.430238217115402f, + 0.754415094852448f, -0.430433481931686f, 0.754084885120392f, -0.430628478527069f, + 0.753754496574402f, -0.430823236703873f, 0.753423988819122f, -0.431017726659775f, + 0.753093302249908f, -0.431211978197098f, 0.752762496471405f, -0.431405961513519f, + 0.752431571483612f, -0.431599706411362f, 0.752100467681885f, -0.431793183088303f, + 0.751769185066223f, -0.431986421346664f, 0.751437783241272f, -0.432179391384125f, + 0.751106262207031f, -0.432372123003006f, 0.750774562358856f, -0.432564586400986f, + 0.750442683696747f, -0.432756811380386f, 0.750110685825348f, -0.432948768138886f, + 0.749778568744659f, -0.433140486478806f, 0.749446272850037f, -0.433331936597824f, + 0.749113857746124f, -0.433523118495941f, 0.748781263828278f, -0.433714061975479f, + 0.748448550701141f, -0.433904737234116f, 0.748115658760071f, -0.434095174074173f, + 0.747782647609711f, -0.434285342693329f, 0.747449457645416f, -0.434475272893906f, + 0.747116148471832f, -0.434664934873581f, 0.746782720088959f, -0.434854328632355f, + 0.746449112892151f, -0.435043483972549f, 0.746115326881409f, -0.435232400894165f, + 0.745781481266022f, -0.435421019792557f, 0.745447397232056f, -0.435609430074692f, + 0.745113253593445f, -0.435797542333603f, 0.744778931140900f, -0.435985416173935f, + 0.744444429874420f, -0.436173021793365f, 0.744109809398651f, -0.436360388994217f, + 0.743775069713593f, -0.436547487974167f, 0.743440151214600f, -0.436734348535538f, + 0.743105113506317f, -0.436920911073685f, 0.742769956588745f, -0.437107264995575f, + 0.742434620857239f, -0.437293320894241f, 0.742099165916443f, -0.437479138374329f, + 0.741763532161713f, -0.437664687633514f, 0.741427779197693f, -0.437849998474121f, + 0.741091907024384f, -0.438035041093826f, 0.740755856037140f, -0.438219845294952f, + 0.740419685840607f, -0.438404351472855f, 0.740083336830139f, -0.438588619232178f, + 0.739746868610382f, -0.438772648572922f, 0.739410281181335f, -0.438956409692764f, + 0.739073514938354f, -0.439139902591705f, 0.738736629486084f, -0.439323127269745f, + 0.738399624824524f, -0.439506113529205f, 0.738062441349030f, -0.439688831567764f, + 0.737725138664246f, -0.439871311187744f, 0.737387716770172f, -0.440053492784500f, + 0.737050116062164f, -0.440235435962677f, 0.736712396144867f, -0.440417140722275f, + 0.736374497413635f, -0.440598547458649f, 0.736036539077759f, -0.440779715776443f, + 0.735698342323303f, -0.440960645675659f, 0.735360085964203f, -0.441141277551651f, + 0.735021650791168f, -0.441321671009064f, 0.734683096408844f, -0.441501796245575f, + 0.734344422817230f, -0.441681683063507f, 0.734005570411682f, -0.441861271858215f, + 0.733666598796844f, -0.442040622234344f, 0.733327507972717f, -0.442219734191895f, + 0.732988238334656f, -0.442398548126221f, 0.732648849487305f, -0.442577123641968f, + 0.732309341430664f, -0.442755430936813f, 0.731969714164734f, -0.442933470010757f, + 0.731629908084869f, -0.443111270666122f, 0.731289982795715f, -0.443288803100586f, + 0.730949878692627f, -0.443466067314148f, 0.730609714984894f, -0.443643063306808f, + 0.730269372463226f, -0.443819820880890f, 0.729928910732269f, -0.443996280431747f, + 0.729588270187378f, -0.444172531366348f, 0.729247510433197f, -0.444348484277725f, + 0.728906631469727f, -0.444524168968201f, 0.728565633296967f, -0.444699615240097f, + 0.728224515914917f, -0.444874793291092f, 0.727883219718933f, -0.445049703121185f, + 0.727541804313660f, -0.445224374532700f, 0.727200269699097f, -0.445398747920990f, + 0.726858556270599f, -0.445572882890701f, 0.726516723632813f, -0.445746749639511f, + 0.726174771785736f, -0.445920348167419f, 0.725832700729370f, -0.446093708276749f, + 0.725490510463715f, -0.446266770362854f, 0.725148141384125f, -0.446439594030380f, + 0.724805653095245f, -0.446612149477005f, 0.724463045597076f, -0.446784436702728f, + 0.724120318889618f, -0.446956485509872f, 0.723777413368225f, -0.447128236293793f, + 0.723434448242188f, -0.447299748659134f, 0.723091304302216f, -0.447470992803574f, + 0.722747981548309f, -0.447641968727112f, 0.722404599189758f, -0.447812676429749f, + 0.722061097621918f, -0.447983115911484f, 0.721717417240143f, -0.448153316974640f, + 0.721373617649078f, -0.448323249816895f, 0.721029698848724f, -0.448492884635925f, + 0.720685660839081f, -0.448662281036377f, 0.720341444015503f, -0.448831409215927f, + 0.719997107982636f, -0.449000298976898f, 0.719652712345123f, -0.449168890714645f, + 0.719308137893677f, -0.449337244033813f, 0.718963444232941f, -0.449505299329758f, + 0.718618571758270f, -0.449673116207123f, 0.718273639678955f, -0.449840664863586f, + 0.717928528785706f, -0.450007945299149f, 0.717583298683167f, -0.450174957513809f, + 0.717238008975983f, -0.450341701507568f, 0.716892480850220f, -0.450508207082748f, + 0.716546893119812f, -0.450674414634705f, 0.716201186180115f, -0.450840383768082f, + 0.715855300426483f, -0.451006084680557f, 0.715509355068207f, -0.451171487569809f, + 0.715163230895996f, -0.451336652040482f, 0.714816987514496f, -0.451501548290253f, + 0.714470624923706f, -0.451666176319122f, 0.714124143123627f, -0.451830536127090f, + 0.713777542114258f, -0.451994657516479f, 0.713430821895599f, -0.452158480882645f, + 0.713083922863007f, -0.452322036027908f, 0.712736964225769f, -0.452485352754593f, + 0.712389826774597f, -0.452648371458054f, 0.712042629718781f, -0.452811151742935f, + 0.711695253849030f, -0.452973634004593f, 0.711347758769989f, -0.453135877847672f, + 0.711000144481659f, -0.453297853469849f, 0.710652410984039f, -0.453459560871124f, + 0.710304558277130f, -0.453621000051498f, 0.709956526756287f, -0.453782171010971f, + 0.709608435630798f, -0.453943043947220f, 0.709260225296021f, -0.454103678464890f, + 0.708911836147308f, -0.454264044761658f, 0.708563387393951f, -0.454424172639847f, + 0.708214759826660f, -0.454584002494812f, 0.707866072654724f, -0.454743564128876f, + 0.707517206668854f, -0.454902857542038f, 0.707168221473694f, -0.455061882734299f, + 0.706819176673889f, -0.455220639705658f, 0.706469953060150f, -0.455379128456116f, + 0.706120610237122f, -0.455537378787994f, 0.705771148204803f, -0.455695331096649f, + 0.705421566963196f, -0.455853015184402f, 0.705071866512299f, -0.456010431051254f, + 0.704722046852112f, -0.456167578697205f, 0.704372167587280f, -0.456324487924576f, + 0.704022109508514f, -0.456481099128723f, 0.703671932220459f, -0.456637442111969f, + 0.703321635723114f, -0.456793516874313f, 0.702971220016479f, -0.456949323415756f, + 0.702620685100555f, -0.457104891538620f, 0.702270030975342f, -0.457260161638260f, + 0.701919257640839f, -0.457415163516998f, 0.701568365097046f, -0.457569897174835f, + 0.701217353343964f, -0.457724362611771f, 0.700866222381592f, -0.457878559827805f, + 0.700514972209930f, -0.458032488822937f, 0.700163602828979f, -0.458186149597168f, + 0.699812114238739f, -0.458339542150497f, 0.699460506439209f, -0.458492636680603f, + 0.699108779430389f, -0.458645492792130f, 0.698756933212280f, -0.458798080682755f, + 0.698404967784882f, -0.458950400352478f, 0.698052942752838f, -0.459102421998978f, + 0.697700738906860f, -0.459254205226898f, 0.697348415851593f, -0.459405690431595f, + 0.696996033191681f, -0.459556937217712f, 0.696643471717834f, -0.459707885980606f, + 0.696290850639343f, -0.459858566522598f, 0.695938050746918f, -0.460008978843689f, + 0.695585191249847f, -0.460159152746201f, 0.695232212543488f, -0.460309028625488f, + 0.694879114627838f, -0.460458606481552f, 0.694525837898254f, -0.460607945919037f, + 0.694172501564026f, -0.460757017135620f, 0.693819046020508f, -0.460905820131302f, + 0.693465530872345f, -0.461054325103760f, 0.693111836910248f, -0.461202591657639f, + 0.692758023738861f, -0.461350560188293f, 0.692404091358185f, -0.461498260498047f, + 0.692050099372864f, -0.461645722389221f, 0.691695988178253f, -0.461792886257172f, + 0.691341698169708f, -0.461939752101898f, 0.690987348556519f, -0.462086379528046f, + 0.690632879734039f, -0.462232738733292f, 0.690278291702271f, -0.462378799915314f, + 0.689923584461212f, -0.462524622678757f, 0.689568817615509f, -0.462670147418976f, + 0.689213871955872f, -0.462815403938293f, 0.688858866691589f, -0.462960392236710f, + 0.688503682613373f, -0.463105112314224f, 0.688148438930511f, -0.463249564170837f, + 0.687793076038361f, -0.463393747806549f, 0.687437593936920f, -0.463537633419037f, + 0.687082052230835f, -0.463681250810623f, 0.686726331710815f, -0.463824629783630f, + 0.686370551586151f, -0.463967710733414f, 0.686014592647552f, -0.464110493659973f, + 0.685658574104309f, -0.464253038167953f, 0.685302436351776f, -0.464395314455032f, + 0.684946238994598f, -0.464537292718887f, 0.684589862823486f, -0.464679002761841f, + 0.684233427047729f, -0.464820444583893f, 0.683876872062683f, -0.464961618185043f, + 0.683520197868347f, -0.465102523565292f, 0.683163404464722f, -0.465243130922318f, + 0.682806491851807f, -0.465383470058441f, 0.682449519634247f, -0.465523540973663f, + 0.682092368602753f, -0.465663343667984f, 0.681735157966614f, -0.465802878141403f, + 0.681377887725830f, -0.465942144393921f, 0.681020438671112f, -0.466081112623215f, + 0.680662930011749f, -0.466219812631607f, 0.680305242538452f, -0.466358244419098f, + 0.679947495460510f, -0.466496407985687f, 0.679589688777924f, -0.466634273529053f, + 0.679231703281403f, -0.466771900653839f, 0.678873658180237f, -0.466909229755402f, + 0.678515493869781f, -0.467046260833740f, 0.678157210350037f, -0.467183053493500f, + 0.677798807621002f, -0.467319577932358f, 0.677440345287323f, -0.467455804347992f, + 0.677081763744354f, -0.467591762542725f, 0.676723062992096f, -0.467727422714233f, + 0.676364302635193f, -0.467862844467163f, 0.676005363464355f, -0.467997968196869f, + 0.675646364688873f, -0.468132823705673f, 0.675287246704102f, -0.468267410993576f, + 0.674928069114685f, -0.468401730060577f, 0.674568772315979f, -0.468535751104355f, + 0.674209356307983f, -0.468669503927231f, 0.673849821090698f, -0.468802988529205f, + 0.673490226268768f, -0.468936175107956f, 0.673130512237549f, -0.469069123268127f, + 0.672770678997040f, -0.469201773405075f, 0.672410726547241f, -0.469334155321121f, + 0.672050714492798f, -0.469466239213943f, 0.671690583229065f, -0.469598054885864f, + 0.671330332756042f, -0.469729602336884f, 0.670970022678375f, -0.469860881567001f, + 0.670609593391418f, -0.469991862773895f, 0.670249044895172f, -0.470122605562210f, + 0.669888436794281f, -0.470253020524979f, 0.669527709484100f, -0.470383197069168f, + 0.669166862964630f, -0.470513075590134f, 0.668805956840515f, -0.470642685890198f, + 0.668444931507111f, -0.470772027969360f, 0.668083786964417f, -0.470901101827621f, + 0.667722582817078f, -0.471029877662659f, 0.667361259460449f, -0.471158385276794f, + 0.666999816894531f, -0.471286594867706f, 0.666638314723969f, -0.471414536237717f, + 0.666276693344116f, -0.471542209386826f, 0.665914952754974f, -0.471669614315033f, + 0.665553152561188f, -0.471796721220016f, 0.665191233158112f, -0.471923559904099f, + 0.664829254150391f, -0.472050130367279f, 0.664467096328735f, -0.472176402807236f, + 0.664104938507080f, -0.472302407026291f, 0.663742601871490f, -0.472428143024445f, + 0.663380205631256f, -0.472553610801697f, 0.663017749786377f, -0.472678780555725f, + 0.662655174732208f, -0.472803652286530f, 0.662292480468750f, -0.472928285598755f, + 0.661929666996002f, -0.473052620887756f, 0.661566793918610f, -0.473176687955856f, + 0.661203861236572f, -0.473300457000732f, 0.660840749740601f, -0.473423957824707f, + 0.660477638244629f, -0.473547190427780f, 0.660114347934723f, -0.473670125007629f, + 0.659750998020172f, -0.473792791366577f, 0.659387588500977f, -0.473915189504623f, + 0.659024059772491f, -0.474037289619446f, 0.658660411834717f, -0.474159121513367f, + 0.658296704292297f, -0.474280685186386f, 0.657932877540588f, -0.474401950836182f, + 0.657568991184235f, -0.474522948265076f, 0.657204985618591f, -0.474643647670746f, + 0.656840860843658f, -0.474764078855515f, 0.656476676464081f, -0.474884241819382f, + 0.656112432479858f, -0.475004136562347f, 0.655748009681702f, -0.475123733282089f, + 0.655383586883545f, -0.475243031978607f, 0.655019044876099f, -0.475362062454224f, + 0.654654383659363f, -0.475480824708939f, 0.654289662837982f, -0.475599318742752f, + 0.653924822807312f, -0.475717514753342f, 0.653559923171997f, -0.475835442543030f, + 0.653194904327393f, -0.475953072309494f, 0.652829825878143f, -0.476070433855057f, + 0.652464628219604f, -0.476187497377396f, 0.652099311351776f, -0.476304292678833f, + 0.651733994483948f, -0.476420819759369f, 0.651368498802185f, -0.476537048816681f, + 0.651003003120422f, -0.476653009653091f, 0.650637328624725f, -0.476768702268600f, + 0.650271594524384f, -0.476884096860886f, 0.649905800819397f, -0.476999223232269f, + 0.649539887905121f, -0.477114051580429f, 0.649173915386200f, -0.477228611707687f, + 0.648807883262634f, -0.477342873811722f, 0.648441672325134f, -0.477456867694855f, + 0.648075461387634f, -0.477570593357086f, 0.647709131240845f, -0.477684020996094f, + 0.647342681884766f, -0.477797180414200f, 0.646976172924042f, -0.477910041809082f, + 0.646609604358673f, -0.478022634983063f, 0.646242916584015f, -0.478134930133820f, + 0.645876109600067f, -0.478246957063675f, 0.645509302616119f, -0.478358715772629f, + 0.645142316818237f, -0.478470176458359f, 0.644775331020355f, -0.478581339120865f, + 0.644408226013184f, -0.478692263364792f, 0.644041001796722f, -0.478802859783173f, + 0.643673717975616f, -0.478913217782974f, 0.643306374549866f, -0.479023247957230f, + 0.642938911914825f, -0.479133039712906f, 0.642571389675140f, -0.479242533445358f, + 0.642203748226166f, -0.479351729154587f, 0.641836047172546f, -0.479460656642914f, + 0.641468286514282f, -0.479569315910339f, 0.641100406646729f, -0.479677677154541f, + 0.640732467174530f, -0.479785770177841f, 0.640364408493042f, -0.479893565177917f, + 0.639996349811554f, -0.480001062154770f, 0.639628112316132f, -0.480108320713043f, + 0.639259815216064f, -0.480215251445770f, 0.638891458511353f, -0.480321943759918f, + 0.638523042201996f, -0.480428308248520f, 0.638154506683350f, -0.480534434318542f, + 0.637785911560059f, -0.480640232563019f, 0.637417197227478f, -0.480745792388916f, + 0.637048482894897f, -0.480851024389267f, 0.636679589748383f, -0.480956017971039f, + 0.636310696601868f, -0.481060713529587f, 0.635941684246063f, -0.481165111064911f, + 0.635572552680969f, -0.481269240379334f, 0.635203421115875f, -0.481373071670532f, + 0.634834170341492f, -0.481476634740829f, 0.634464859962463f, -0.481579899787903f, + 0.634095430374146f, -0.481682896614075f, 0.633725941181183f, -0.481785595417023f, + 0.633356392383575f, -0.481888025999069f, 0.632986724376678f, -0.481990188360214f, + 0.632616996765137f, -0.482092022895813f, 0.632247209548950f, -0.482193619012833f, + 0.631877362728119f, -0.482294887304306f, 0.631507396697998f, -0.482395917177200f, + 0.631137371063232f, -0.482496619224548f, 0.630767226219177f, -0.482597053050995f, + 0.630397081375122f, -0.482697218656540f, 0.630026817321777f, -0.482797086238861f, + 0.629656434059143f, -0.482896685600281f, 0.629286050796509f, -0.482995986938477f, + 0.628915548324585f, -0.483094990253448f, 0.628544986248016f, -0.483193725347519f, + 0.628174364566803f, -0.483292192220688f, 0.627803623676300f, -0.483390361070633f, + 0.627432823181152f, -0.483488231897354f, 0.627061963081360f, -0.483585834503174f, + 0.626691043376923f, -0.483683139085770f, 0.626320004463196f, -0.483780175447464f, + 0.625948905944824f, -0.483876913785934f, 0.625577747821808f, -0.483973383903503f, + 0.625206530094147f, -0.484069555997849f, 0.624835193157196f, -0.484165430068970f, + 0.624463796615601f, -0.484261035919189f, 0.624092340469360f, -0.484356373548508f, + 0.623720824718475f, -0.484451413154602f, 0.623349189758301f, -0.484546154737473f, + 0.622977554798126f, -0.484640628099442f, 0.622605800628662f, -0.484734803438187f, + 0.622233927249908f, -0.484828680753708f, 0.621862053871155f, -0.484922289848328f, + 0.621490061283112f, -0.485015630722046f, 0.621118068695068f, -0.485108673572540f, + 0.620745956897736f, -0.485201418399811f, 0.620373785495758f, -0.485293895006180f, + 0.620001494884491f, -0.485386073589325f, 0.619629204273224f, -0.485477954149246f, + 0.619256794452667f, -0.485569566488266f, 0.618884325027466f, -0.485660910606384f, + 0.618511795997620f, -0.485751956701279f, 0.618139207363129f, -0.485842704772949f, + 0.617766559123993f, -0.485933154821396f, 0.617393791675568f, -0.486023366451263f, + 0.617020964622498f, -0.486113250255585f, 0.616648077964783f, -0.486202865839005f, + 0.616275131702423f, -0.486292183399200f, 0.615902125835419f, -0.486381232738495f, + 0.615529060363770f, -0.486469984054565f, 0.615155875682831f, -0.486558437347412f, + 0.614782691001892f, -0.486646622419357f, 0.614409387111664f, -0.486734509468079f, + 0.614036023616791f, -0.486822128295898f, 0.613662600517273f, -0.486909449100494f, + 0.613289117813110f, -0.486996471881866f, 0.612915575504303f, -0.487083226442337f, + 0.612541973590851f, -0.487169682979584f, 0.612168252468109f, -0.487255871295929f, + 0.611794531345367f, -0.487341761589050f, 0.611420691013336f, -0.487427353858948f, + 0.611046791076660f, -0.487512677907944f, 0.610672831535339f, -0.487597703933716f, + 0.610298871994019f, -0.487682431936264f, 0.609924793243408f, -0.487766891717911f, + 0.609550595283508f, -0.487851053476334f, 0.609176397323608f, -0.487934947013855f, + 0.608802139759064f, -0.488018542528152f, 0.608427822589874f, -0.488101840019226f, + 0.608053386211395f, -0.488184869289398f, 0.607678949832916f, -0.488267600536346f, + 0.607304394245148f, -0.488350033760071f, 0.606929838657379f, -0.488432198762894f, + 0.606555163860321f, -0.488514065742493f, 0.606180429458618f, -0.488595664501190f, + 0.605805635452271f, -0.488676935434341f, 0.605430841445923f, -0.488757967948914f, + 0.605055928230286f, -0.488838672637939f, 0.604680955410004f, -0.488919109106064f, + 0.604305922985077f, -0.488999247550964f, 0.603930830955505f, -0.489079117774963f, + 0.603555679321289f, -0.489158689975739f, 0.603180468082428f, -0.489237964153290f, + 0.602805197238922f, -0.489316970109940f, 0.602429866790771f, -0.489395678043365f, + 0.602054476737976f, -0.489474087953568f, 0.601679027080536f, -0.489552229642868f, + 0.601303517818451f, -0.489630073308945f, 0.600927948951721f, -0.489707618951797f, + 0.600552320480347f, -0.489784896373749f, 0.600176632404327f, -0.489861875772476f, + 0.599800884723663f, -0.489938557147980f, 0.599425077438354f, -0.490014940500259f, + 0.599049210548401f, -0.490091055631638f, 0.598673284053802f, -0.490166902542114f, + 0.598297297954559f, -0.490242421627045f, 0.597921252250671f, -0.490317672491074f, + 0.597545146942139f, -0.490392625331879f, 0.597168982028961f, -0.490467309951782f, + 0.596792817115784f, -0.490541696548462f, 0.596416532993317f, -0.490615785121918f, + 0.596040189266205f, -0.490689605474472f, 0.595663845539093f, -0.490763127803802f, + 0.595287382602692f, -0.490836352109909f, 0.594910860061646f, -0.490909278392792f, + 0.594534337520599f, -0.490981936454773f, 0.594157755374908f, -0.491054296493530f, + 0.593781054019928f, -0.491126358509064f, 0.593404352664948f, -0.491198152303696f, + 0.593027591705322f, -0.491269648075104f, 0.592650771141052f, -0.491340845823288f, + 0.592273890972137f, -0.491411775350571f, 0.591896951198578f, -0.491482406854630f, + 0.591519951820374f, -0.491552740335464f, 0.591142892837524f, -0.491622805595398f, + 0.590765833854675f, -0.491692543029785f, 0.590388655662537f, -0.491762012243271f, + 0.590011477470398f, -0.491831213235855f, 0.589634180068970f, -0.491900116205215f, + 0.589256882667542f, -0.491968721151352f, 0.588879525661469f, -0.492037028074265f, + 0.588502109050751f, -0.492105036973953f, 0.588124632835388f, -0.492172777652740f, + 0.587747097015381f, -0.492240220308304f, 0.587369561195374f, -0.492307394742966f, + 0.586991965770721f, -0.492374241352081f, 0.586614251136780f, -0.492440819740295f, + 0.586236536502838f, -0.492507129907608f, 0.585858762264252f, -0.492573112249374f, + 0.585480928421021f, -0.492638826370239f, 0.585103094577789f, -0.492704242467880f, + 0.584725141525269f, -0.492769360542297f, 0.584347188472748f, -0.492834210395813f, + 0.583969175815582f, -0.492898762226105f, 0.583591103553772f, -0.492963016033173f, + 0.583212971687317f, -0.493026971817017f, 0.582834780216217f, -0.493090659379959f, + 0.582456588745117f, -0.493154048919678f, 0.582078278064728f, -0.493217140436172f, + 0.581699967384338f, -0.493279963731766f, 0.581321597099304f, -0.493342459201813f, + 0.580943167209625f, -0.493404686450958f, 0.580564737319946f, -0.493466645479202f, + 0.580186247825623f, -0.493528276681900f, 0.579807698726654f, -0.493589639663696f, + 0.579429090023041f, -0.493650704622269f, 0.579050421714783f, -0.493711471557617f, + 0.578671753406525f, -0.493771970272064f, 0.578292965888977f, -0.493832170963287f, + 0.577914178371429f, -0.493892073631287f, 0.577535390853882f, -0.493951678276062f, + 0.577156484127045f, -0.494011014699936f, 0.576777577400208f, -0.494070053100586f, + 0.576398611068726f, -0.494128793478012f, 0.576019585132599f, -0.494187235832214f, + 0.575640499591827f, -0.494245409965515f, 0.575261414051056f, -0.494303256273270f, + 0.574882268905640f, -0.494360834360123f, 0.574503064155579f, -0.494418144226074f, + 0.574123859405518f, -0.494475126266479f, 0.573744535446167f, -0.494531840085983f, + 0.573365211486816f, -0.494588255882263f, 0.572985887527466f, -0.494644373655319f, + 0.572606444358826f, -0.494700223207474f, 0.572227001190186f, -0.494755744934082f, + 0.571847498416901f, -0.494810998439789f, 0.571467995643616f, -0.494865983724594f, + 0.571088373661041f, -0.494920641183853f, 0.570708811283112f, -0.494975030422211f, + 0.570329129695892f, -0.495029091835022f, 0.569949388504028f, -0.495082914829254f, + 0.569569647312164f, -0.495136409997940f, 0.569189906120300f, -0.495189607143402f, + 0.568810045719147f, -0.495242536067963f, 0.568430185317993f, -0.495295166969299f, + 0.568050265312195f, -0.495347499847412f, 0.567670345306396f, -0.495399564504623f, + 0.567290365695953f, -0.495451331138611f, 0.566910326480865f, -0.495502769947052f, + 0.566530287265778f, -0.495553970336914f, 0.566150128841400f, -0.495604842901230f, + 0.565770030021667f, -0.495655417442322f, 0.565389811992645f, -0.495705723762512f, + 0.565009593963623f, -0.495755732059479f, 0.564629375934601f, -0.495805442333221f, + 0.564249038696289f, -0.495854884386063f, 0.563868701457977f, -0.495903998613358f, + 0.563488364219666f, -0.495952844619751f, 0.563107967376709f, -0.496001392602921f, + 0.562727510929108f, -0.496049642562866f, 0.562346994876862f, -0.496097624301910f, + 0.561966478824615f, -0.496145308017731f, 0.561585903167725f, -0.496192663908005f, + 0.561205327510834f, -0.496239781379700f, 0.560824692249298f, -0.496286571025848f, + 0.560444056987762f, -0.496333062648773f, 0.560063362121582f, -0.496379286050797f, + 0.559682607650757f, -0.496425211429596f, 0.559301853179932f, -0.496470838785172f, + 0.558921039104462f, -0.496516168117523f, 0.558540165424347f, -0.496561229228973f, + 0.558159291744232f, -0.496605962514877f, 0.557778418064117f, -0.496650427579880f, + 0.557397484779358f, -0.496694594621658f, 0.557016491889954f, -0.496738493442535f, + 0.556635499000549f, -0.496782064437866f, 0.556254446506500f, -0.496825367212296f, + 0.555873334407806f, -0.496868371963501f, 0.555492222309113f, -0.496911078691483f, + 0.555111110210419f, -0.496953487396240f, 0.554729938507080f, -0.496995598077774f, + 0.554348707199097f, -0.497037440538406f, 0.553967475891113f, -0.497078984975815f, + 0.553586184978485f, -0.497120231389999f, 0.553204894065857f, -0.497161179780960f, + 0.552823603153229f, -0.497201830148697f, 0.552442193031311f, -0.497242212295532f, + 0.552060842514038f, -0.497282296419144f, 0.551679372787476f, -0.497322082519531f, + 0.551297962665558f, -0.497361570596695f, 0.550916433334351f, -0.497400760650635f, + 0.550534904003143f, -0.497439652681351f, 0.550153374671936f, -0.497478276491165f, + 0.549771785736084f, -0.497516602277756f, 0.549390196800232f, -0.497554630041122f, + 0.549008548259735f, -0.497592359781265f, 0.548626899719238f, -0.497629791498184f, + 0.548245191574097f, -0.497666954994202f, 0.547863483428955f, -0.497703820466995f, + 0.547481775283813f, -0.497740387916565f, 0.547099947929382f, -0.497776657342911f, + 0.546718180179596f, -0.497812628746033f, 0.546336352825165f, -0.497848302125931f, + 0.545954465866089f, -0.497883707284927f, 0.545572578907013f, -0.497918814420700f, + 0.545190691947937f, -0.497953623533249f, 0.544808745384216f, -0.497988134622574f, + 0.544426798820496f, -0.498022347688675f, 0.544044792652130f, -0.498056292533875f, + 0.543662786483765f, -0.498089909553528f, 0.543280720710754f, -0.498123258352280f, + 0.542898654937744f, -0.498156309127808f, 0.542516589164734f, -0.498189061880112f, + 0.542134463787079f, -0.498221516609192f, 0.541752278804779f, -0.498253703117371f, + 0.541370153427124f, -0.498285561800003f, 0.540987968444824f, -0.498317152261734f, + 0.540605723857880f, -0.498348444700241f, 0.540223479270935f, -0.498379439115524f, + 0.539841234683990f, -0.498410135507584f, 0.539458930492401f, -0.498440563678741f, + 0.539076626300812f, -0.498470664024353f, 0.538694262504578f, -0.498500496149063f, + 0.538311958312988f, -0.498530030250549f, 0.537929534912109f, -0.498559266328812f, + 0.537547171115875f, -0.498588204383850f, 0.537164747714996f, -0.498616874217987f, + 0.536782264709473f, -0.498645216226578f, 0.536399841308594f, -0.498673290014267f, + 0.536017298698425f, -0.498701065778732f, 0.535634815692902f, -0.498728543519974f, + 0.535252273082733f, -0.498755723237991f, 0.534869730472565f, -0.498782604932785f, + 0.534487187862396f, -0.498809218406677f, 0.534104585647583f, -0.498835533857346f, + 0.533721983432770f, -0.498861521482468f, 0.533339321613312f, -0.498887240886688f, + 0.532956659793854f, -0.498912662267685f, 0.532573997974396f, -0.498937815427780f, + 0.532191336154938f, -0.498962640762329f, 0.531808614730835f, -0.498987197875977f, + 0.531425893306732f, -0.499011427164078f, 0.531043112277985f, -0.499035388231277f, + 0.530660390853882f, -0.499059051275253f, 0.530277609825134f, -0.499082416296005f, + 0.529894769191742f, -0.499105513095856f, 0.529511988162994f, -0.499128282070160f, + 0.529129147529602f, -0.499150782823563f, 0.528746306896210f, -0.499172955751419f, + 0.528363406658173f, -0.499194860458374f, 0.527980506420136f, -0.499216467142105f, + 0.527597606182098f, -0.499237775802612f, 0.527214705944061f, -0.499258816242218f, + 0.526831746101379f, -0.499279528856277f, 0.526448845863342f, -0.499299973249435f, + 0.526065826416016f, -0.499320119619370f, 0.525682866573334f, -0.499339967966080f, + 0.525299847126007f, -0.499359518289566f, 0.524916887283325f, -0.499378770589828f, + 0.524533808231354f, -0.499397724866867f, 0.524150788784027f, -0.499416410923004f, + 0.523767769336700f, -0.499434769153595f, 0.523384690284729f, -0.499452859163284f, + 0.523001611232758f, -0.499470651149750f, 0.522618472576141f, -0.499488145112991f, + 0.522235393524170f, -0.499505341053009f, 0.521852254867554f, -0.499522238969803f, + 0.521469116210938f, -0.499538868665695f, 0.521085977554321f, -0.499555170536041f, + 0.520702838897705f, -0.499571204185486f, 0.520319640636444f, -0.499586939811707f, + 0.519936442375183f, -0.499602377414703f, 0.519553244113922f, -0.499617516994476f, + 0.519170045852661f, -0.499632388353348f, 0.518786847591400f, -0.499646931886673f, + 0.518403589725494f, -0.499661177396774f, 0.518020391464233f, -0.499675154685974f, + 0.517637133598328f, -0.499688833951950f, 0.517253875732422f, -0.499702215194702f, + 0.516870558261871f, -0.499715298414230f, 0.516487300395966f, -0.499728083610535f, + 0.516103982925415f, -0.499740600585938f, 0.515720725059509f, -0.499752789735794f, + 0.515337407588959f, -0.499764710664749f, 0.514954090118408f, -0.499776333570480f, + 0.514570772647858f, -0.499787658452988f, 0.514187395572662f, -0.499798685312271f, + 0.513804078102112f, -0.499809414148331f, 0.513420701026917f, -0.499819844961166f, + 0.513037383556366f, -0.499830007553101f, 0.512654006481171f, -0.499839842319489f, + 0.512270629405975f, -0.499849408864975f, 0.511887252330780f, -0.499858677387238f, + 0.511503815650940f, -0.499867647886276f, 0.511120438575745f, -0.499876320362091f, + 0.510737061500549f, -0.499884694814682f, 0.510353624820709f, -0.499892801046371f, + 0.509970188140869f, -0.499900579452515f, 0.509586811065674f, -0.499908089637756f, + 0.509203374385834f, -0.499915301799774f, 0.508819937705994f, -0.499922215938568f, + 0.508436501026154f, -0.499928832054138f, 0.508053064346313f, -0.499935150146484f, + 0.507669627666473f, -0.499941170215607f, 0.507286131381989f, -0.499946922063828f, + 0.506902694702148f, -0.499952346086502f, 0.506519258022308f, -0.499957501888275f, + 0.506135761737823f, -0.499962359666824f, 0.505752325057983f, -0.499966919422150f, + 0.505368828773499f, -0.499971181154251f, 0.504985332489014f, -0.499975144863129f, + 0.504601895809174f, -0.499978810548782f, 0.504218399524689f, -0.499982208013535f, + 0.503834903240204f, -0.499985307455063f, 0.503451406955719f, -0.499988079071045f, + 0.503067970275879f, -0.499990582466125f, 0.502684473991394f, -0.499992787837982f, + 0.502300977706909f, -0.499994695186615f, 0.501917481422424f, -0.499996334314346f, + 0.501533985137939f, -0.499997645616531f, 0.501150488853455f, -0.499998688697815f, + 0.500766992568970f, -0.499999403953552f, 0.500383496284485f, -0.499999850988388f, +}; + + + +/** +* @brief Initialization function for the floating-point RFFT/RIFFT. +* @deprecated Do not use this function. It has been superceded by \ref arm_rfft_fast_init_f32 and will be removed +* in the future. +* @param[in,out] *S points to an instance of the floating-point RFFT/RIFFT structure. +* @param[in,out] *S_CFFT points to an instance of the floating-point CFFT/CIFFT structure. +* @param[in] fftLenReal length of the FFT. +* @param[in] ifftFlagR flag that selects forward (ifftFlagR=0) or inverse (ifftFlagR=1) transform. +* @param[in] bitReverseFlag flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. +* @return The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if fftLenReal is not a supported value. +* +* \par Description: +* \par +* The parameter fftLenReal Specifies length of RFFT/RIFFT Process. Supported FFT Lengths are 128, 512, 2048. +* \par +* The parameter ifftFlagR controls whether a forward or inverse transform is computed. +* Set(=1) ifftFlagR to calculate RIFFT, otherwise RFFT is calculated. +* \par +* The parameter bitReverseFlag controls whether output is in normal order or bit reversed order. +* Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order. +* \par +* This function also initializes Twiddle factor table. +*/ + +/** +* @} end of RealFFT_Table group +*/ + +/** +* @addtogroup RealFFT +* @{ +*/ + +arm_status arm_rfft_init_f32( + arm_rfft_instance_f32 * S, + arm_cfft_radix4_instance_f32 * S_CFFT, + uint32_t fftLenReal, + uint32_t ifftFlagR, + uint32_t bitReverseFlag) +{ + + /* Initialise the default arm status */ + arm_status status = ARM_MATH_SUCCESS; + + /* Initialize the Real FFT length */ + S->fftLenReal = (uint16_t) fftLenReal; + + /* Initialize the Complex FFT length */ + S->fftLenBy2 = (uint16_t) fftLenReal / 2U; + + /* Initialize the Twiddle coefficientA pointer */ + S->pTwiddleAReal = (float32_t *) realCoefA; + + /* Initialize the Twiddle coefficientB pointer */ + S->pTwiddleBReal = (float32_t *) realCoefB; + + /* Initialize the Flag for selection of RFFT or RIFFT */ + S->ifftFlagR = (uint8_t) ifftFlagR; + + /* Initialize the Flag for calculation Bit reversal or not */ + S->bitReverseFlagR = (uint8_t) bitReverseFlag; + + /* Initializations of structure parameters depending on the FFT length */ + switch (S->fftLenReal) + { + /* Init table modifier value */ + case 8192U: + S->twidCoefRModifier = 1U; + break; + case 2048U: + S->twidCoefRModifier = 4U; + break; + case 512U: + S->twidCoefRModifier = 16U; + break; + case 128U: + S->twidCoefRModifier = 64U; + break; + default: + /* Reporting argument error if rfftSize is not valid value */ + status = ARM_MATH_ARGUMENT_ERROR; + break; + } + + /* Init Complex FFT Instance */ + S->pCfft = S_CFFT; + + if (S->ifftFlagR) + { + /* Initializes the CIFFT Module for fftLenreal/2 length */ + arm_cfft_radix4_init_f32(S->pCfft, S->fftLenBy2, 1U, 0U); + } + else + { + /* Initializes the CFFT Module for fftLenreal/2 length */ + arm_cfft_radix4_init_f32(S->pCfft, S->fftLenBy2, 0U, 0U); + } + + /* return the status of RFFT Init function */ + return (status); + +} + + /** + * @} end of RealFFT group + */ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_rfft_init_q15.c b/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_rfft_init_q15.c new file mode 100644 index 0000000..3d1f229 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_rfft_init_q15.c @@ -0,0 +1,2229 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_rfft_init_q15.c + * Description: RFFT & RIFFT Q15 initialisation function + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include "arm_common_tables.h" +#include "arm_const_structs.h" + +/** +* @ingroup RealFFT +*/ + +/** + * @addtogroup RealFFT_Table Real FFT Tables +* @{ +*/ + +/** +* \par +* Generation fixed-point realCoefAQ15 array in Q15 format: +* \par +* n = 4096 +*
for (i = 0; i < n; i++)
+*  {
+*    pATable[2 * i] = 0.5 * (1.0 - sin (2 * PI / (double) (2 * n) * (double) i));
+*    pATable[2 * i + 1] = 0.5 * (-1.0 * cos (2 * PI / (double) (2 * n) * (double) i));
+*  } 
+* \par +* Convert to fixed point Q15 format +* round(pATable[i] * pow(2, 15)) +*/ +const q15_t ALIGN4 realCoefAQ15[8192] = { + (q15_t)0x4000, (q15_t)0xc000, (q15_t)0x3ff3, (q15_t)0xc000, (q15_t)0x3fe7, (q15_t)0xc000, (q15_t)0x3fda, (q15_t)0xc000, + (q15_t)0x3fce, (q15_t)0xc000, (q15_t)0x3fc1, (q15_t)0xc000, (q15_t)0x3fb5, (q15_t)0xc000, (q15_t)0x3fa8, (q15_t)0xc000, + (q15_t)0x3f9b, (q15_t)0xc000, (q15_t)0x3f8f, (q15_t)0xc000, (q15_t)0x3f82, (q15_t)0xc000, (q15_t)0x3f76, (q15_t)0xc001, + (q15_t)0x3f69, (q15_t)0xc001, (q15_t)0x3f5d, (q15_t)0xc001, (q15_t)0x3f50, (q15_t)0xc001, (q15_t)0x3f44, (q15_t)0xc001, + (q15_t)0x3f37, (q15_t)0xc001, (q15_t)0x3f2a, (q15_t)0xc001, (q15_t)0x3f1e, (q15_t)0xc002, (q15_t)0x3f11, (q15_t)0xc002, + (q15_t)0x3f05, (q15_t)0xc002, (q15_t)0x3ef8, (q15_t)0xc002, (q15_t)0x3eec, (q15_t)0xc002, (q15_t)0x3edf, (q15_t)0xc003, + (q15_t)0x3ed2, (q15_t)0xc003, (q15_t)0x3ec6, (q15_t)0xc003, (q15_t)0x3eb9, (q15_t)0xc003, (q15_t)0x3ead, (q15_t)0xc004, + (q15_t)0x3ea0, (q15_t)0xc004, (q15_t)0x3e94, (q15_t)0xc004, (q15_t)0x3e87, (q15_t)0xc004, (q15_t)0x3e7a, (q15_t)0xc005, + (q15_t)0x3e6e, (q15_t)0xc005, (q15_t)0x3e61, (q15_t)0xc005, (q15_t)0x3e55, (q15_t)0xc006, (q15_t)0x3e48, (q15_t)0xc006, + (q15_t)0x3e3c, (q15_t)0xc006, (q15_t)0x3e2f, (q15_t)0xc007, (q15_t)0x3e23, (q15_t)0xc007, (q15_t)0x3e16, (q15_t)0xc007, + (q15_t)0x3e09, (q15_t)0xc008, (q15_t)0x3dfd, (q15_t)0xc008, (q15_t)0x3df0, (q15_t)0xc009, (q15_t)0x3de4, (q15_t)0xc009, + (q15_t)0x3dd7, (q15_t)0xc009, (q15_t)0x3dcb, (q15_t)0xc00a, (q15_t)0x3dbe, (q15_t)0xc00a, (q15_t)0x3db2, (q15_t)0xc00b, + (q15_t)0x3da5, (q15_t)0xc00b, (q15_t)0x3d98, (q15_t)0xc00c, (q15_t)0x3d8c, (q15_t)0xc00c, (q15_t)0x3d7f, (q15_t)0xc00d, + (q15_t)0x3d73, (q15_t)0xc00d, (q15_t)0x3d66, (q15_t)0xc00e, (q15_t)0x3d5a, (q15_t)0xc00e, (q15_t)0x3d4d, (q15_t)0xc00f, + (q15_t)0x3d40, (q15_t)0xc00f, (q15_t)0x3d34, (q15_t)0xc010, (q15_t)0x3d27, (q15_t)0xc010, (q15_t)0x3d1b, (q15_t)0xc011, + (q15_t)0x3d0e, (q15_t)0xc011, (q15_t)0x3d02, (q15_t)0xc012, (q15_t)0x3cf5, (q15_t)0xc013, (q15_t)0x3ce9, (q15_t)0xc013, + (q15_t)0x3cdc, (q15_t)0xc014, (q15_t)0x3cd0, (q15_t)0xc014, (q15_t)0x3cc3, (q15_t)0xc015, (q15_t)0x3cb6, (q15_t)0xc016, + (q15_t)0x3caa, (q15_t)0xc016, (q15_t)0x3c9d, (q15_t)0xc017, (q15_t)0x3c91, (q15_t)0xc018, (q15_t)0x3c84, (q15_t)0xc018, + (q15_t)0x3c78, (q15_t)0xc019, (q15_t)0x3c6b, (q15_t)0xc01a, (q15_t)0x3c5f, (q15_t)0xc01a, (q15_t)0x3c52, (q15_t)0xc01b, + (q15_t)0x3c45, (q15_t)0xc01c, (q15_t)0x3c39, (q15_t)0xc01d, (q15_t)0x3c2c, (q15_t)0xc01d, (q15_t)0x3c20, (q15_t)0xc01e, + (q15_t)0x3c13, (q15_t)0xc01f, (q15_t)0x3c07, (q15_t)0xc020, (q15_t)0x3bfa, (q15_t)0xc020, (q15_t)0x3bee, (q15_t)0xc021, + (q15_t)0x3be1, (q15_t)0xc022, (q15_t)0x3bd5, (q15_t)0xc023, (q15_t)0x3bc8, (q15_t)0xc024, (q15_t)0x3bbc, (q15_t)0xc024, + (q15_t)0x3baf, (q15_t)0xc025, (q15_t)0x3ba2, (q15_t)0xc026, (q15_t)0x3b96, (q15_t)0xc027, (q15_t)0x3b89, (q15_t)0xc028, + (q15_t)0x3b7d, (q15_t)0xc029, (q15_t)0x3b70, (q15_t)0xc02a, (q15_t)0x3b64, (q15_t)0xc02b, (q15_t)0x3b57, (q15_t)0xc02b, + (q15_t)0x3b4b, (q15_t)0xc02c, (q15_t)0x3b3e, (q15_t)0xc02d, (q15_t)0x3b32, (q15_t)0xc02e, (q15_t)0x3b25, (q15_t)0xc02f, + (q15_t)0x3b19, (q15_t)0xc030, (q15_t)0x3b0c, (q15_t)0xc031, (q15_t)0x3b00, (q15_t)0xc032, (q15_t)0x3af3, (q15_t)0xc033, + (q15_t)0x3ae6, (q15_t)0xc034, (q15_t)0x3ada, (q15_t)0xc035, (q15_t)0x3acd, (q15_t)0xc036, (q15_t)0x3ac1, (q15_t)0xc037, + (q15_t)0x3ab4, (q15_t)0xc038, (q15_t)0x3aa8, (q15_t)0xc039, (q15_t)0x3a9b, (q15_t)0xc03a, (q15_t)0x3a8f, (q15_t)0xc03b, + (q15_t)0x3a82, (q15_t)0xc03c, (q15_t)0x3a76, (q15_t)0xc03d, (q15_t)0x3a69, (q15_t)0xc03f, (q15_t)0x3a5d, (q15_t)0xc040, + (q15_t)0x3a50, (q15_t)0xc041, (q15_t)0x3a44, (q15_t)0xc042, (q15_t)0x3a37, (q15_t)0xc043, (q15_t)0x3a2b, (q15_t)0xc044, + (q15_t)0x3a1e, (q15_t)0xc045, (q15_t)0x3a12, (q15_t)0xc047, (q15_t)0x3a05, (q15_t)0xc048, (q15_t)0x39f9, (q15_t)0xc049, + (q15_t)0x39ec, (q15_t)0xc04a, (q15_t)0x39e0, (q15_t)0xc04b, (q15_t)0x39d3, (q15_t)0xc04c, (q15_t)0x39c7, (q15_t)0xc04e, + (q15_t)0x39ba, (q15_t)0xc04f, (q15_t)0x39ae, (q15_t)0xc050, (q15_t)0x39a1, (q15_t)0xc051, (q15_t)0x3995, (q15_t)0xc053, + (q15_t)0x3988, (q15_t)0xc054, (q15_t)0x397c, (q15_t)0xc055, (q15_t)0x396f, (q15_t)0xc056, (q15_t)0x3963, (q15_t)0xc058, + (q15_t)0x3956, (q15_t)0xc059, (q15_t)0x394a, (q15_t)0xc05a, (q15_t)0x393d, (q15_t)0xc05c, (q15_t)0x3931, (q15_t)0xc05d, + (q15_t)0x3924, (q15_t)0xc05e, (q15_t)0x3918, (q15_t)0xc060, (q15_t)0x390b, (q15_t)0xc061, (q15_t)0x38ff, (q15_t)0xc062, + (q15_t)0x38f2, (q15_t)0xc064, (q15_t)0x38e6, (q15_t)0xc065, (q15_t)0x38d9, (q15_t)0xc067, (q15_t)0x38cd, (q15_t)0xc068, + (q15_t)0x38c0, (q15_t)0xc069, (q15_t)0x38b4, (q15_t)0xc06b, (q15_t)0x38a7, (q15_t)0xc06c, (q15_t)0x389b, (q15_t)0xc06e, + (q15_t)0x388e, (q15_t)0xc06f, (q15_t)0x3882, (q15_t)0xc071, (q15_t)0x3875, (q15_t)0xc072, (q15_t)0x3869, (q15_t)0xc074, + (q15_t)0x385c, (q15_t)0xc075, (q15_t)0x3850, (q15_t)0xc077, (q15_t)0x3843, (q15_t)0xc078, (q15_t)0x3837, (q15_t)0xc07a, + (q15_t)0x382a, (q15_t)0xc07b, (q15_t)0x381e, (q15_t)0xc07d, (q15_t)0x3811, (q15_t)0xc07e, (q15_t)0x3805, (q15_t)0xc080, + (q15_t)0x37f9, (q15_t)0xc081, (q15_t)0x37ec, (q15_t)0xc083, (q15_t)0x37e0, (q15_t)0xc085, (q15_t)0x37d3, (q15_t)0xc086, + (q15_t)0x37c7, (q15_t)0xc088, (q15_t)0x37ba, (q15_t)0xc089, (q15_t)0x37ae, (q15_t)0xc08b, (q15_t)0x37a1, (q15_t)0xc08d, + (q15_t)0x3795, (q15_t)0xc08e, (q15_t)0x3788, (q15_t)0xc090, (q15_t)0x377c, (q15_t)0xc092, (q15_t)0x376f, (q15_t)0xc093, + (q15_t)0x3763, (q15_t)0xc095, (q15_t)0x3757, (q15_t)0xc097, (q15_t)0x374a, (q15_t)0xc098, (q15_t)0x373e, (q15_t)0xc09a, + (q15_t)0x3731, (q15_t)0xc09c, (q15_t)0x3725, (q15_t)0xc09e, (q15_t)0x3718, (q15_t)0xc09f, (q15_t)0x370c, (q15_t)0xc0a1, + (q15_t)0x36ff, (q15_t)0xc0a3, (q15_t)0x36f3, (q15_t)0xc0a5, (q15_t)0x36e7, (q15_t)0xc0a6, (q15_t)0x36da, (q15_t)0xc0a8, + (q15_t)0x36ce, (q15_t)0xc0aa, (q15_t)0x36c1, (q15_t)0xc0ac, (q15_t)0x36b5, (q15_t)0xc0ae, (q15_t)0x36a8, (q15_t)0xc0af, + (q15_t)0x369c, (q15_t)0xc0b1, (q15_t)0x3690, (q15_t)0xc0b3, (q15_t)0x3683, (q15_t)0xc0b5, (q15_t)0x3677, (q15_t)0xc0b7, + (q15_t)0x366a, (q15_t)0xc0b9, (q15_t)0x365e, (q15_t)0xc0bb, (q15_t)0x3651, (q15_t)0xc0bd, (q15_t)0x3645, (q15_t)0xc0be, + (q15_t)0x3639, (q15_t)0xc0c0, (q15_t)0x362c, (q15_t)0xc0c2, (q15_t)0x3620, (q15_t)0xc0c4, (q15_t)0x3613, (q15_t)0xc0c6, + (q15_t)0x3607, (q15_t)0xc0c8, (q15_t)0x35fa, (q15_t)0xc0ca, (q15_t)0x35ee, (q15_t)0xc0cc, (q15_t)0x35e2, (q15_t)0xc0ce, + (q15_t)0x35d5, (q15_t)0xc0d0, (q15_t)0x35c9, (q15_t)0xc0d2, (q15_t)0x35bc, (q15_t)0xc0d4, (q15_t)0x35b0, (q15_t)0xc0d6, + (q15_t)0x35a4, (q15_t)0xc0d8, (q15_t)0x3597, (q15_t)0xc0da, (q15_t)0x358b, (q15_t)0xc0dc, (q15_t)0x357e, (q15_t)0xc0de, + (q15_t)0x3572, (q15_t)0xc0e0, (q15_t)0x3566, (q15_t)0xc0e2, (q15_t)0x3559, (q15_t)0xc0e4, (q15_t)0x354d, (q15_t)0xc0e7, + (q15_t)0x3540, (q15_t)0xc0e9, (q15_t)0x3534, (q15_t)0xc0eb, (q15_t)0x3528, (q15_t)0xc0ed, (q15_t)0x351b, (q15_t)0xc0ef, + (q15_t)0x350f, (q15_t)0xc0f1, (q15_t)0x3503, (q15_t)0xc0f3, (q15_t)0x34f6, (q15_t)0xc0f6, (q15_t)0x34ea, (q15_t)0xc0f8, + (q15_t)0x34dd, (q15_t)0xc0fa, (q15_t)0x34d1, (q15_t)0xc0fc, (q15_t)0x34c5, (q15_t)0xc0fe, (q15_t)0x34b8, (q15_t)0xc100, + (q15_t)0x34ac, (q15_t)0xc103, (q15_t)0x34a0, (q15_t)0xc105, (q15_t)0x3493, (q15_t)0xc107, (q15_t)0x3487, (q15_t)0xc109, + (q15_t)0x347b, (q15_t)0xc10c, (q15_t)0x346e, (q15_t)0xc10e, (q15_t)0x3462, (q15_t)0xc110, (q15_t)0x3455, (q15_t)0xc113, + (q15_t)0x3449, (q15_t)0xc115, (q15_t)0x343d, (q15_t)0xc117, (q15_t)0x3430, (q15_t)0xc119, (q15_t)0x3424, (q15_t)0xc11c, + (q15_t)0x3418, (q15_t)0xc11e, (q15_t)0x340b, (q15_t)0xc120, (q15_t)0x33ff, (q15_t)0xc123, (q15_t)0x33f3, (q15_t)0xc125, + (q15_t)0x33e6, (q15_t)0xc128, (q15_t)0x33da, (q15_t)0xc12a, (q15_t)0x33ce, (q15_t)0xc12c, (q15_t)0x33c1, (q15_t)0xc12f, + (q15_t)0x33b5, (q15_t)0xc131, (q15_t)0x33a9, (q15_t)0xc134, (q15_t)0x339c, (q15_t)0xc136, (q15_t)0x3390, (q15_t)0xc138, + (q15_t)0x3384, (q15_t)0xc13b, (q15_t)0x3377, (q15_t)0xc13d, (q15_t)0x336b, (q15_t)0xc140, (q15_t)0x335f, (q15_t)0xc142, + (q15_t)0x3352, (q15_t)0xc145, (q15_t)0x3346, (q15_t)0xc147, (q15_t)0x333a, (q15_t)0xc14a, (q15_t)0x332d, (q15_t)0xc14c, + (q15_t)0x3321, (q15_t)0xc14f, (q15_t)0x3315, (q15_t)0xc151, (q15_t)0x3308, (q15_t)0xc154, (q15_t)0x32fc, (q15_t)0xc156, + (q15_t)0x32f0, (q15_t)0xc159, (q15_t)0x32e4, (q15_t)0xc15b, (q15_t)0x32d7, (q15_t)0xc15e, (q15_t)0x32cb, (q15_t)0xc161, + (q15_t)0x32bf, (q15_t)0xc163, (q15_t)0x32b2, (q15_t)0xc166, (q15_t)0x32a6, (q15_t)0xc168, (q15_t)0x329a, (q15_t)0xc16b, + (q15_t)0x328e, (q15_t)0xc16e, (q15_t)0x3281, (q15_t)0xc170, (q15_t)0x3275, (q15_t)0xc173, (q15_t)0x3269, (q15_t)0xc176, + (q15_t)0x325c, (q15_t)0xc178, (q15_t)0x3250, (q15_t)0xc17b, (q15_t)0x3244, (q15_t)0xc17e, (q15_t)0x3238, (q15_t)0xc180, + (q15_t)0x322b, (q15_t)0xc183, (q15_t)0x321f, (q15_t)0xc186, (q15_t)0x3213, (q15_t)0xc189, (q15_t)0x3207, (q15_t)0xc18b, + (q15_t)0x31fa, (q15_t)0xc18e, (q15_t)0x31ee, (q15_t)0xc191, (q15_t)0x31e2, (q15_t)0xc194, (q15_t)0x31d5, (q15_t)0xc196, + (q15_t)0x31c9, (q15_t)0xc199, (q15_t)0x31bd, (q15_t)0xc19c, (q15_t)0x31b1, (q15_t)0xc19f, (q15_t)0x31a4, (q15_t)0xc1a2, + (q15_t)0x3198, (q15_t)0xc1a4, (q15_t)0x318c, (q15_t)0xc1a7, (q15_t)0x3180, (q15_t)0xc1aa, (q15_t)0x3174, (q15_t)0xc1ad, + (q15_t)0x3167, (q15_t)0xc1b0, (q15_t)0x315b, (q15_t)0xc1b3, (q15_t)0x314f, (q15_t)0xc1b6, (q15_t)0x3143, (q15_t)0xc1b8, + (q15_t)0x3136, (q15_t)0xc1bb, (q15_t)0x312a, (q15_t)0xc1be, (q15_t)0x311e, (q15_t)0xc1c1, (q15_t)0x3112, (q15_t)0xc1c4, + (q15_t)0x3105, (q15_t)0xc1c7, (q15_t)0x30f9, (q15_t)0xc1ca, (q15_t)0x30ed, (q15_t)0xc1cd, (q15_t)0x30e1, (q15_t)0xc1d0, + (q15_t)0x30d5, (q15_t)0xc1d3, (q15_t)0x30c8, (q15_t)0xc1d6, (q15_t)0x30bc, (q15_t)0xc1d9, (q15_t)0x30b0, (q15_t)0xc1dc, + (q15_t)0x30a4, (q15_t)0xc1df, (q15_t)0x3098, (q15_t)0xc1e2, (q15_t)0x308b, (q15_t)0xc1e5, (q15_t)0x307f, (q15_t)0xc1e8, + (q15_t)0x3073, (q15_t)0xc1eb, (q15_t)0x3067, (q15_t)0xc1ee, (q15_t)0x305b, (q15_t)0xc1f1, (q15_t)0x304e, (q15_t)0xc1f4, + (q15_t)0x3042, (q15_t)0xc1f7, (q15_t)0x3036, (q15_t)0xc1fa, (q15_t)0x302a, (q15_t)0xc1fd, (q15_t)0x301e, (q15_t)0xc201, + (q15_t)0x3012, (q15_t)0xc204, (q15_t)0x3005, (q15_t)0xc207, (q15_t)0x2ff9, (q15_t)0xc20a, (q15_t)0x2fed, (q15_t)0xc20d, + (q15_t)0x2fe1, (q15_t)0xc210, (q15_t)0x2fd5, (q15_t)0xc213, (q15_t)0x2fc9, (q15_t)0xc217, (q15_t)0x2fbc, (q15_t)0xc21a, + (q15_t)0x2fb0, (q15_t)0xc21d, (q15_t)0x2fa4, (q15_t)0xc220, (q15_t)0x2f98, (q15_t)0xc223, (q15_t)0x2f8c, (q15_t)0xc227, + (q15_t)0x2f80, (q15_t)0xc22a, (q15_t)0x2f74, (q15_t)0xc22d, (q15_t)0x2f67, (q15_t)0xc230, (q15_t)0x2f5b, (q15_t)0xc234, + (q15_t)0x2f4f, (q15_t)0xc237, (q15_t)0x2f43, (q15_t)0xc23a, (q15_t)0x2f37, (q15_t)0xc23e, (q15_t)0x2f2b, (q15_t)0xc241, + (q15_t)0x2f1f, (q15_t)0xc244, (q15_t)0x2f13, (q15_t)0xc247, (q15_t)0x2f06, (q15_t)0xc24b, (q15_t)0x2efa, (q15_t)0xc24e, + (q15_t)0x2eee, (q15_t)0xc251, (q15_t)0x2ee2, (q15_t)0xc255, (q15_t)0x2ed6, (q15_t)0xc258, (q15_t)0x2eca, (q15_t)0xc25c, + (q15_t)0x2ebe, (q15_t)0xc25f, (q15_t)0x2eb2, (q15_t)0xc262, (q15_t)0x2ea6, (q15_t)0xc266, (q15_t)0x2e99, (q15_t)0xc269, + (q15_t)0x2e8d, (q15_t)0xc26d, (q15_t)0x2e81, (q15_t)0xc270, (q15_t)0x2e75, (q15_t)0xc273, (q15_t)0x2e69, (q15_t)0xc277, + (q15_t)0x2e5d, (q15_t)0xc27a, (q15_t)0x2e51, (q15_t)0xc27e, (q15_t)0x2e45, (q15_t)0xc281, (q15_t)0x2e39, (q15_t)0xc285, + (q15_t)0x2e2d, (q15_t)0xc288, (q15_t)0x2e21, (q15_t)0xc28c, (q15_t)0x2e15, (q15_t)0xc28f, (q15_t)0x2e09, (q15_t)0xc293, + (q15_t)0x2dfc, (q15_t)0xc296, (q15_t)0x2df0, (q15_t)0xc29a, (q15_t)0x2de4, (q15_t)0xc29d, (q15_t)0x2dd8, (q15_t)0xc2a1, + (q15_t)0x2dcc, (q15_t)0xc2a5, (q15_t)0x2dc0, (q15_t)0xc2a8, (q15_t)0x2db4, (q15_t)0xc2ac, (q15_t)0x2da8, (q15_t)0xc2af, + (q15_t)0x2d9c, (q15_t)0xc2b3, (q15_t)0x2d90, (q15_t)0xc2b7, (q15_t)0x2d84, (q15_t)0xc2ba, (q15_t)0x2d78, (q15_t)0xc2be, + (q15_t)0x2d6c, (q15_t)0xc2c1, (q15_t)0x2d60, (q15_t)0xc2c5, (q15_t)0x2d54, (q15_t)0xc2c9, (q15_t)0x2d48, (q15_t)0xc2cc, + (q15_t)0x2d3c, (q15_t)0xc2d0, (q15_t)0x2d30, (q15_t)0xc2d4, (q15_t)0x2d24, (q15_t)0xc2d8, (q15_t)0x2d18, (q15_t)0xc2db, + (q15_t)0x2d0c, (q15_t)0xc2df, (q15_t)0x2d00, (q15_t)0xc2e3, (q15_t)0x2cf4, (q15_t)0xc2e6, (q15_t)0x2ce8, (q15_t)0xc2ea, + (q15_t)0x2cdc, (q15_t)0xc2ee, (q15_t)0x2cd0, (q15_t)0xc2f2, (q15_t)0x2cc4, (q15_t)0xc2f5, (q15_t)0x2cb8, (q15_t)0xc2f9, + (q15_t)0x2cac, (q15_t)0xc2fd, (q15_t)0x2ca0, (q15_t)0xc301, (q15_t)0x2c94, (q15_t)0xc305, (q15_t)0x2c88, (q15_t)0xc308, + (q15_t)0x2c7c, (q15_t)0xc30c, (q15_t)0x2c70, (q15_t)0xc310, (q15_t)0x2c64, (q15_t)0xc314, (q15_t)0x2c58, (q15_t)0xc318, + (q15_t)0x2c4c, (q15_t)0xc31c, (q15_t)0x2c40, (q15_t)0xc320, (q15_t)0x2c34, (q15_t)0xc323, (q15_t)0x2c28, (q15_t)0xc327, + (q15_t)0x2c1c, (q15_t)0xc32b, (q15_t)0x2c10, (q15_t)0xc32f, (q15_t)0x2c05, (q15_t)0xc333, (q15_t)0x2bf9, (q15_t)0xc337, + (q15_t)0x2bed, (q15_t)0xc33b, (q15_t)0x2be1, (q15_t)0xc33f, (q15_t)0x2bd5, (q15_t)0xc343, (q15_t)0x2bc9, (q15_t)0xc347, + (q15_t)0x2bbd, (q15_t)0xc34b, (q15_t)0x2bb1, (q15_t)0xc34f, (q15_t)0x2ba5, (q15_t)0xc353, (q15_t)0x2b99, (q15_t)0xc357, + (q15_t)0x2b8d, (q15_t)0xc35b, (q15_t)0x2b81, (q15_t)0xc35f, (q15_t)0x2b75, (q15_t)0xc363, (q15_t)0x2b6a, (q15_t)0xc367, + (q15_t)0x2b5e, (q15_t)0xc36b, (q15_t)0x2b52, (q15_t)0xc36f, (q15_t)0x2b46, (q15_t)0xc373, (q15_t)0x2b3a, (q15_t)0xc377, + (q15_t)0x2b2e, (q15_t)0xc37b, (q15_t)0x2b22, (q15_t)0xc37f, (q15_t)0x2b16, (q15_t)0xc383, (q15_t)0x2b0a, (q15_t)0xc387, + (q15_t)0x2aff, (q15_t)0xc38c, (q15_t)0x2af3, (q15_t)0xc390, (q15_t)0x2ae7, (q15_t)0xc394, (q15_t)0x2adb, (q15_t)0xc398, + (q15_t)0x2acf, (q15_t)0xc39c, (q15_t)0x2ac3, (q15_t)0xc3a0, (q15_t)0x2ab7, (q15_t)0xc3a5, (q15_t)0x2aac, (q15_t)0xc3a9, + (q15_t)0x2aa0, (q15_t)0xc3ad, (q15_t)0x2a94, (q15_t)0xc3b1, (q15_t)0x2a88, (q15_t)0xc3b5, (q15_t)0x2a7c, (q15_t)0xc3ba, + (q15_t)0x2a70, (q15_t)0xc3be, (q15_t)0x2a65, (q15_t)0xc3c2, (q15_t)0x2a59, (q15_t)0xc3c6, (q15_t)0x2a4d, (q15_t)0xc3ca, + (q15_t)0x2a41, (q15_t)0xc3cf, (q15_t)0x2a35, (q15_t)0xc3d3, (q15_t)0x2a29, (q15_t)0xc3d7, (q15_t)0x2a1e, (q15_t)0xc3dc, + (q15_t)0x2a12, (q15_t)0xc3e0, (q15_t)0x2a06, (q15_t)0xc3e4, (q15_t)0x29fa, (q15_t)0xc3e9, (q15_t)0x29ee, (q15_t)0xc3ed, + (q15_t)0x29e3, (q15_t)0xc3f1, (q15_t)0x29d7, (q15_t)0xc3f6, (q15_t)0x29cb, (q15_t)0xc3fa, (q15_t)0x29bf, (q15_t)0xc3fe, + (q15_t)0x29b4, (q15_t)0xc403, (q15_t)0x29a8, (q15_t)0xc407, (q15_t)0x299c, (q15_t)0xc40b, (q15_t)0x2990, (q15_t)0xc410, + (q15_t)0x2984, (q15_t)0xc414, (q15_t)0x2979, (q15_t)0xc419, (q15_t)0x296d, (q15_t)0xc41d, (q15_t)0x2961, (q15_t)0xc422, + (q15_t)0x2955, (q15_t)0xc426, (q15_t)0x294a, (q15_t)0xc42a, (q15_t)0x293e, (q15_t)0xc42f, (q15_t)0x2932, (q15_t)0xc433, + (q15_t)0x2926, (q15_t)0xc438, (q15_t)0x291b, (q15_t)0xc43c, (q15_t)0x290f, (q15_t)0xc441, (q15_t)0x2903, (q15_t)0xc445, + (q15_t)0x28f7, (q15_t)0xc44a, (q15_t)0x28ec, (q15_t)0xc44e, (q15_t)0x28e0, (q15_t)0xc453, (q15_t)0x28d4, (q15_t)0xc457, + (q15_t)0x28c9, (q15_t)0xc45c, (q15_t)0x28bd, (q15_t)0xc461, (q15_t)0x28b1, (q15_t)0xc465, (q15_t)0x28a5, (q15_t)0xc46a, + (q15_t)0x289a, (q15_t)0xc46e, (q15_t)0x288e, (q15_t)0xc473, (q15_t)0x2882, (q15_t)0xc478, (q15_t)0x2877, (q15_t)0xc47c, + (q15_t)0x286b, (q15_t)0xc481, (q15_t)0x285f, (q15_t)0xc485, (q15_t)0x2854, (q15_t)0xc48a, (q15_t)0x2848, (q15_t)0xc48f, + (q15_t)0x283c, (q15_t)0xc493, (q15_t)0x2831, (q15_t)0xc498, (q15_t)0x2825, (q15_t)0xc49d, (q15_t)0x2819, (q15_t)0xc4a1, + (q15_t)0x280e, (q15_t)0xc4a6, (q15_t)0x2802, (q15_t)0xc4ab, (q15_t)0x27f6, (q15_t)0xc4b0, (q15_t)0x27eb, (q15_t)0xc4b4, + (q15_t)0x27df, (q15_t)0xc4b9, (q15_t)0x27d3, (q15_t)0xc4be, (q15_t)0x27c8, (q15_t)0xc4c2, (q15_t)0x27bc, (q15_t)0xc4c7, + (q15_t)0x27b1, (q15_t)0xc4cc, (q15_t)0x27a5, (q15_t)0xc4d1, (q15_t)0x2799, (q15_t)0xc4d6, (q15_t)0x278e, (q15_t)0xc4da, + (q15_t)0x2782, (q15_t)0xc4df, (q15_t)0x2777, (q15_t)0xc4e4, (q15_t)0x276b, (q15_t)0xc4e9, (q15_t)0x275f, (q15_t)0xc4ee, + (q15_t)0x2754, (q15_t)0xc4f2, (q15_t)0x2748, (q15_t)0xc4f7, (q15_t)0x273d, (q15_t)0xc4fc, (q15_t)0x2731, (q15_t)0xc501, + (q15_t)0x2725, (q15_t)0xc506, (q15_t)0x271a, (q15_t)0xc50b, (q15_t)0x270e, (q15_t)0xc510, (q15_t)0x2703, (q15_t)0xc515, + (q15_t)0x26f7, (q15_t)0xc51a, (q15_t)0x26ec, (q15_t)0xc51e, (q15_t)0x26e0, (q15_t)0xc523, (q15_t)0x26d4, (q15_t)0xc528, + (q15_t)0x26c9, (q15_t)0xc52d, (q15_t)0x26bd, (q15_t)0xc532, (q15_t)0x26b2, (q15_t)0xc537, (q15_t)0x26a6, (q15_t)0xc53c, + (q15_t)0x269b, (q15_t)0xc541, (q15_t)0x268f, (q15_t)0xc546, (q15_t)0x2684, (q15_t)0xc54b, (q15_t)0x2678, (q15_t)0xc550, + (q15_t)0x266d, (q15_t)0xc555, (q15_t)0x2661, (q15_t)0xc55a, (q15_t)0x2656, (q15_t)0xc55f, (q15_t)0x264a, (q15_t)0xc564, + (q15_t)0x263f, (q15_t)0xc569, (q15_t)0x2633, (q15_t)0xc56e, (q15_t)0x2628, (q15_t)0xc573, (q15_t)0x261c, (q15_t)0xc578, + (q15_t)0x2611, (q15_t)0xc57e, (q15_t)0x2605, (q15_t)0xc583, (q15_t)0x25fa, (q15_t)0xc588, (q15_t)0x25ee, (q15_t)0xc58d, + (q15_t)0x25e3, (q15_t)0xc592, (q15_t)0x25d7, (q15_t)0xc597, (q15_t)0x25cc, (q15_t)0xc59c, (q15_t)0x25c0, (q15_t)0xc5a1, + (q15_t)0x25b5, (q15_t)0xc5a7, (q15_t)0x25a9, (q15_t)0xc5ac, (q15_t)0x259e, (q15_t)0xc5b1, (q15_t)0x2592, (q15_t)0xc5b6, + (q15_t)0x2587, (q15_t)0xc5bb, (q15_t)0x257c, (q15_t)0xc5c1, (q15_t)0x2570, (q15_t)0xc5c6, (q15_t)0x2565, (q15_t)0xc5cb, + (q15_t)0x2559, (q15_t)0xc5d0, (q15_t)0x254e, (q15_t)0xc5d5, (q15_t)0x2542, (q15_t)0xc5db, (q15_t)0x2537, (q15_t)0xc5e0, + (q15_t)0x252c, (q15_t)0xc5e5, (q15_t)0x2520, (q15_t)0xc5ea, (q15_t)0x2515, (q15_t)0xc5f0, (q15_t)0x2509, (q15_t)0xc5f5, + (q15_t)0x24fe, (q15_t)0xc5fa, (q15_t)0x24f3, (q15_t)0xc600, (q15_t)0x24e7, (q15_t)0xc605, (q15_t)0x24dc, (q15_t)0xc60a, + (q15_t)0x24d0, (q15_t)0xc610, (q15_t)0x24c5, (q15_t)0xc615, (q15_t)0x24ba, (q15_t)0xc61a, (q15_t)0x24ae, (q15_t)0xc620, + (q15_t)0x24a3, (q15_t)0xc625, (q15_t)0x2498, (q15_t)0xc62a, (q15_t)0x248c, (q15_t)0xc630, (q15_t)0x2481, (q15_t)0xc635, + (q15_t)0x2476, (q15_t)0xc63b, (q15_t)0x246a, (q15_t)0xc640, (q15_t)0x245f, (q15_t)0xc645, (q15_t)0x2454, (q15_t)0xc64b, + (q15_t)0x2448, (q15_t)0xc650, (q15_t)0x243d, (q15_t)0xc656, (q15_t)0x2432, (q15_t)0xc65b, (q15_t)0x2426, (q15_t)0xc661, + (q15_t)0x241b, (q15_t)0xc666, (q15_t)0x2410, (q15_t)0xc66c, (q15_t)0x2404, (q15_t)0xc671, (q15_t)0x23f9, (q15_t)0xc677, + (q15_t)0x23ee, (q15_t)0xc67c, (q15_t)0x23e2, (q15_t)0xc682, (q15_t)0x23d7, (q15_t)0xc687, (q15_t)0x23cc, (q15_t)0xc68d, + (q15_t)0x23c1, (q15_t)0xc692, (q15_t)0x23b5, (q15_t)0xc698, (q15_t)0x23aa, (q15_t)0xc69d, (q15_t)0x239f, (q15_t)0xc6a3, + (q15_t)0x2394, (q15_t)0xc6a8, (q15_t)0x2388, (q15_t)0xc6ae, (q15_t)0x237d, (q15_t)0xc6b4, (q15_t)0x2372, (q15_t)0xc6b9, + (q15_t)0x2367, (q15_t)0xc6bf, (q15_t)0x235b, (q15_t)0xc6c5, (q15_t)0x2350, (q15_t)0xc6ca, (q15_t)0x2345, (q15_t)0xc6d0, + (q15_t)0x233a, (q15_t)0xc6d5, (q15_t)0x232e, (q15_t)0xc6db, (q15_t)0x2323, (q15_t)0xc6e1, (q15_t)0x2318, (q15_t)0xc6e6, + (q15_t)0x230d, (q15_t)0xc6ec, (q15_t)0x2301, (q15_t)0xc6f2, (q15_t)0x22f6, (q15_t)0xc6f7, (q15_t)0x22eb, (q15_t)0xc6fd, + (q15_t)0x22e0, (q15_t)0xc703, (q15_t)0x22d5, (q15_t)0xc709, (q15_t)0x22ca, (q15_t)0xc70e, (q15_t)0x22be, (q15_t)0xc714, + (q15_t)0x22b3, (q15_t)0xc71a, (q15_t)0x22a8, (q15_t)0xc720, (q15_t)0x229d, (q15_t)0xc725, (q15_t)0x2292, (q15_t)0xc72b, + (q15_t)0x2287, (q15_t)0xc731, (q15_t)0x227b, (q15_t)0xc737, (q15_t)0x2270, (q15_t)0xc73d, (q15_t)0x2265, (q15_t)0xc742, + (q15_t)0x225a, (q15_t)0xc748, (q15_t)0x224f, (q15_t)0xc74e, (q15_t)0x2244, (q15_t)0xc754, (q15_t)0x2239, (q15_t)0xc75a, + (q15_t)0x222d, (q15_t)0xc75f, (q15_t)0x2222, (q15_t)0xc765, (q15_t)0x2217, (q15_t)0xc76b, (q15_t)0x220c, (q15_t)0xc771, + (q15_t)0x2201, (q15_t)0xc777, (q15_t)0x21f6, (q15_t)0xc77d, (q15_t)0x21eb, (q15_t)0xc783, (q15_t)0x21e0, (q15_t)0xc789, + (q15_t)0x21d5, (q15_t)0xc78f, (q15_t)0x21ca, (q15_t)0xc795, (q15_t)0x21be, (q15_t)0xc79a, (q15_t)0x21b3, (q15_t)0xc7a0, + (q15_t)0x21a8, (q15_t)0xc7a6, (q15_t)0x219d, (q15_t)0xc7ac, (q15_t)0x2192, (q15_t)0xc7b2, (q15_t)0x2187, (q15_t)0xc7b8, + (q15_t)0x217c, (q15_t)0xc7be, (q15_t)0x2171, (q15_t)0xc7c4, (q15_t)0x2166, (q15_t)0xc7ca, (q15_t)0x215b, (q15_t)0xc7d0, + (q15_t)0x2150, (q15_t)0xc7d6, (q15_t)0x2145, (q15_t)0xc7dc, (q15_t)0x213a, (q15_t)0xc7e2, (q15_t)0x212f, (q15_t)0xc7e8, + (q15_t)0x2124, (q15_t)0xc7ee, (q15_t)0x2119, (q15_t)0xc7f5, (q15_t)0x210e, (q15_t)0xc7fb, (q15_t)0x2103, (q15_t)0xc801, + (q15_t)0x20f8, (q15_t)0xc807, (q15_t)0x20ed, (q15_t)0xc80d, (q15_t)0x20e2, (q15_t)0xc813, (q15_t)0x20d7, (q15_t)0xc819, + (q15_t)0x20cc, (q15_t)0xc81f, (q15_t)0x20c1, (q15_t)0xc825, (q15_t)0x20b6, (q15_t)0xc82b, (q15_t)0x20ab, (q15_t)0xc832, + (q15_t)0x20a0, (q15_t)0xc838, (q15_t)0x2095, (q15_t)0xc83e, (q15_t)0x208a, (q15_t)0xc844, (q15_t)0x207f, (q15_t)0xc84a, + (q15_t)0x2074, (q15_t)0xc850, (q15_t)0x2069, (q15_t)0xc857, (q15_t)0x205e, (q15_t)0xc85d, (q15_t)0x2054, (q15_t)0xc863, + (q15_t)0x2049, (q15_t)0xc869, (q15_t)0x203e, (q15_t)0xc870, (q15_t)0x2033, (q15_t)0xc876, (q15_t)0x2028, (q15_t)0xc87c, + (q15_t)0x201d, (q15_t)0xc882, (q15_t)0x2012, (q15_t)0xc889, (q15_t)0x2007, (q15_t)0xc88f, (q15_t)0x1ffc, (q15_t)0xc895, + (q15_t)0x1ff1, (q15_t)0xc89b, (q15_t)0x1fe7, (q15_t)0xc8a2, (q15_t)0x1fdc, (q15_t)0xc8a8, (q15_t)0x1fd1, (q15_t)0xc8ae, + (q15_t)0x1fc6, (q15_t)0xc8b5, (q15_t)0x1fbb, (q15_t)0xc8bb, (q15_t)0x1fb0, (q15_t)0xc8c1, (q15_t)0x1fa5, (q15_t)0xc8c8, + (q15_t)0x1f9b, (q15_t)0xc8ce, (q15_t)0x1f90, (q15_t)0xc8d4, (q15_t)0x1f85, (q15_t)0xc8db, (q15_t)0x1f7a, (q15_t)0xc8e1, + (q15_t)0x1f6f, (q15_t)0xc8e8, (q15_t)0x1f65, (q15_t)0xc8ee, (q15_t)0x1f5a, (q15_t)0xc8f4, (q15_t)0x1f4f, (q15_t)0xc8fb, + (q15_t)0x1f44, (q15_t)0xc901, (q15_t)0x1f39, (q15_t)0xc908, (q15_t)0x1f2f, (q15_t)0xc90e, (q15_t)0x1f24, (q15_t)0xc915, + (q15_t)0x1f19, (q15_t)0xc91b, (q15_t)0x1f0e, (q15_t)0xc921, (q15_t)0x1f03, (q15_t)0xc928, (q15_t)0x1ef9, (q15_t)0xc92e, + (q15_t)0x1eee, (q15_t)0xc935, (q15_t)0x1ee3, (q15_t)0xc93b, (q15_t)0x1ed8, (q15_t)0xc942, (q15_t)0x1ece, (q15_t)0xc948, + (q15_t)0x1ec3, (q15_t)0xc94f, (q15_t)0x1eb8, (q15_t)0xc955, (q15_t)0x1ead, (q15_t)0xc95c, (q15_t)0x1ea3, (q15_t)0xc963, + (q15_t)0x1e98, (q15_t)0xc969, (q15_t)0x1e8d, (q15_t)0xc970, (q15_t)0x1e83, (q15_t)0xc976, (q15_t)0x1e78, (q15_t)0xc97d, + (q15_t)0x1e6d, (q15_t)0xc983, (q15_t)0x1e62, (q15_t)0xc98a, (q15_t)0x1e58, (q15_t)0xc991, (q15_t)0x1e4d, (q15_t)0xc997, + (q15_t)0x1e42, (q15_t)0xc99e, (q15_t)0x1e38, (q15_t)0xc9a4, (q15_t)0x1e2d, (q15_t)0xc9ab, (q15_t)0x1e22, (q15_t)0xc9b2, + (q15_t)0x1e18, (q15_t)0xc9b8, (q15_t)0x1e0d, (q15_t)0xc9bf, (q15_t)0x1e02, (q15_t)0xc9c6, (q15_t)0x1df8, (q15_t)0xc9cc, + (q15_t)0x1ded, (q15_t)0xc9d3, (q15_t)0x1de2, (q15_t)0xc9da, (q15_t)0x1dd8, (q15_t)0xc9e0, (q15_t)0x1dcd, (q15_t)0xc9e7, + (q15_t)0x1dc3, (q15_t)0xc9ee, (q15_t)0x1db8, (q15_t)0xc9f5, (q15_t)0x1dad, (q15_t)0xc9fb, (q15_t)0x1da3, (q15_t)0xca02, + (q15_t)0x1d98, (q15_t)0xca09, (q15_t)0x1d8e, (q15_t)0xca10, (q15_t)0x1d83, (q15_t)0xca16, (q15_t)0x1d78, (q15_t)0xca1d, + (q15_t)0x1d6e, (q15_t)0xca24, (q15_t)0x1d63, (q15_t)0xca2b, (q15_t)0x1d59, (q15_t)0xca32, (q15_t)0x1d4e, (q15_t)0xca38, + (q15_t)0x1d44, (q15_t)0xca3f, (q15_t)0x1d39, (q15_t)0xca46, (q15_t)0x1d2e, (q15_t)0xca4d, (q15_t)0x1d24, (q15_t)0xca54, + (q15_t)0x1d19, (q15_t)0xca5b, (q15_t)0x1d0f, (q15_t)0xca61, (q15_t)0x1d04, (q15_t)0xca68, (q15_t)0x1cfa, (q15_t)0xca6f, + (q15_t)0x1cef, (q15_t)0xca76, (q15_t)0x1ce5, (q15_t)0xca7d, (q15_t)0x1cda, (q15_t)0xca84, (q15_t)0x1cd0, (q15_t)0xca8b, + (q15_t)0x1cc5, (q15_t)0xca92, (q15_t)0x1cbb, (q15_t)0xca99, (q15_t)0x1cb0, (q15_t)0xca9f, (q15_t)0x1ca6, (q15_t)0xcaa6, + (q15_t)0x1c9b, (q15_t)0xcaad, (q15_t)0x1c91, (q15_t)0xcab4, (q15_t)0x1c86, (q15_t)0xcabb, (q15_t)0x1c7c, (q15_t)0xcac2, + (q15_t)0x1c72, (q15_t)0xcac9, (q15_t)0x1c67, (q15_t)0xcad0, (q15_t)0x1c5d, (q15_t)0xcad7, (q15_t)0x1c52, (q15_t)0xcade, + (q15_t)0x1c48, (q15_t)0xcae5, (q15_t)0x1c3d, (q15_t)0xcaec, (q15_t)0x1c33, (q15_t)0xcaf3, (q15_t)0x1c29, (q15_t)0xcafa, + (q15_t)0x1c1e, (q15_t)0xcb01, (q15_t)0x1c14, (q15_t)0xcb08, (q15_t)0x1c09, (q15_t)0xcb0f, (q15_t)0x1bff, (q15_t)0xcb16, + (q15_t)0x1bf5, (q15_t)0xcb1e, (q15_t)0x1bea, (q15_t)0xcb25, (q15_t)0x1be0, (q15_t)0xcb2c, (q15_t)0x1bd5, (q15_t)0xcb33, + (q15_t)0x1bcb, (q15_t)0xcb3a, (q15_t)0x1bc1, (q15_t)0xcb41, (q15_t)0x1bb6, (q15_t)0xcb48, (q15_t)0x1bac, (q15_t)0xcb4f, + (q15_t)0x1ba2, (q15_t)0xcb56, (q15_t)0x1b97, (q15_t)0xcb5e, (q15_t)0x1b8d, (q15_t)0xcb65, (q15_t)0x1b83, (q15_t)0xcb6c, + (q15_t)0x1b78, (q15_t)0xcb73, (q15_t)0x1b6e, (q15_t)0xcb7a, (q15_t)0x1b64, (q15_t)0xcb81, (q15_t)0x1b59, (q15_t)0xcb89, + (q15_t)0x1b4f, (q15_t)0xcb90, (q15_t)0x1b45, (q15_t)0xcb97, (q15_t)0x1b3b, (q15_t)0xcb9e, (q15_t)0x1b30, (q15_t)0xcba5, + (q15_t)0x1b26, (q15_t)0xcbad, (q15_t)0x1b1c, (q15_t)0xcbb4, (q15_t)0x1b11, (q15_t)0xcbbb, (q15_t)0x1b07, (q15_t)0xcbc2, + (q15_t)0x1afd, (q15_t)0xcbca, (q15_t)0x1af3, (q15_t)0xcbd1, (q15_t)0x1ae8, (q15_t)0xcbd8, (q15_t)0x1ade, (q15_t)0xcbe0, + (q15_t)0x1ad4, (q15_t)0xcbe7, (q15_t)0x1aca, (q15_t)0xcbee, (q15_t)0x1abf, (q15_t)0xcbf5, (q15_t)0x1ab5, (q15_t)0xcbfd, + (q15_t)0x1aab, (q15_t)0xcc04, (q15_t)0x1aa1, (q15_t)0xcc0b, (q15_t)0x1a97, (q15_t)0xcc13, (q15_t)0x1a8c, (q15_t)0xcc1a, + (q15_t)0x1a82, (q15_t)0xcc21, (q15_t)0x1a78, (q15_t)0xcc29, (q15_t)0x1a6e, (q15_t)0xcc30, (q15_t)0x1a64, (q15_t)0xcc38, + (q15_t)0x1a5a, (q15_t)0xcc3f, (q15_t)0x1a4f, (q15_t)0xcc46, (q15_t)0x1a45, (q15_t)0xcc4e, (q15_t)0x1a3b, (q15_t)0xcc55, + (q15_t)0x1a31, (q15_t)0xcc5d, (q15_t)0x1a27, (q15_t)0xcc64, (q15_t)0x1a1d, (q15_t)0xcc6b, (q15_t)0x1a13, (q15_t)0xcc73, + (q15_t)0x1a08, (q15_t)0xcc7a, (q15_t)0x19fe, (q15_t)0xcc82, (q15_t)0x19f4, (q15_t)0xcc89, (q15_t)0x19ea, (q15_t)0xcc91, + (q15_t)0x19e0, (q15_t)0xcc98, (q15_t)0x19d6, (q15_t)0xcca0, (q15_t)0x19cc, (q15_t)0xcca7, (q15_t)0x19c2, (q15_t)0xccaf, + (q15_t)0x19b8, (q15_t)0xccb6, (q15_t)0x19ae, (q15_t)0xccbe, (q15_t)0x19a4, (q15_t)0xccc5, (q15_t)0x199a, (q15_t)0xcccd, + (q15_t)0x198f, (q15_t)0xccd4, (q15_t)0x1985, (q15_t)0xccdc, (q15_t)0x197b, (q15_t)0xcce3, (q15_t)0x1971, (q15_t)0xcceb, + (q15_t)0x1967, (q15_t)0xccf3, (q15_t)0x195d, (q15_t)0xccfa, (q15_t)0x1953, (q15_t)0xcd02, (q15_t)0x1949, (q15_t)0xcd09, + (q15_t)0x193f, (q15_t)0xcd11, (q15_t)0x1935, (q15_t)0xcd19, (q15_t)0x192b, (q15_t)0xcd20, (q15_t)0x1921, (q15_t)0xcd28, + (q15_t)0x1917, (q15_t)0xcd30, (q15_t)0x190d, (q15_t)0xcd37, (q15_t)0x1903, (q15_t)0xcd3f, (q15_t)0x18f9, (q15_t)0xcd46, + (q15_t)0x18ef, (q15_t)0xcd4e, (q15_t)0x18e6, (q15_t)0xcd56, (q15_t)0x18dc, (q15_t)0xcd5d, (q15_t)0x18d2, (q15_t)0xcd65, + (q15_t)0x18c8, (q15_t)0xcd6d, (q15_t)0x18be, (q15_t)0xcd75, (q15_t)0x18b4, (q15_t)0xcd7c, (q15_t)0x18aa, (q15_t)0xcd84, + (q15_t)0x18a0, (q15_t)0xcd8c, (q15_t)0x1896, (q15_t)0xcd93, (q15_t)0x188c, (q15_t)0xcd9b, (q15_t)0x1882, (q15_t)0xcda3, + (q15_t)0x1878, (q15_t)0xcdab, (q15_t)0x186f, (q15_t)0xcdb2, (q15_t)0x1865, (q15_t)0xcdba, (q15_t)0x185b, (q15_t)0xcdc2, + (q15_t)0x1851, (q15_t)0xcdca, (q15_t)0x1847, (q15_t)0xcdd2, (q15_t)0x183d, (q15_t)0xcdd9, (q15_t)0x1833, (q15_t)0xcde1, + (q15_t)0x182a, (q15_t)0xcde9, (q15_t)0x1820, (q15_t)0xcdf1, (q15_t)0x1816, (q15_t)0xcdf9, (q15_t)0x180c, (q15_t)0xce01, + (q15_t)0x1802, (q15_t)0xce08, (q15_t)0x17f8, (q15_t)0xce10, (q15_t)0x17ef, (q15_t)0xce18, (q15_t)0x17e5, (q15_t)0xce20, + (q15_t)0x17db, (q15_t)0xce28, (q15_t)0x17d1, (q15_t)0xce30, (q15_t)0x17c8, (q15_t)0xce38, (q15_t)0x17be, (q15_t)0xce40, + (q15_t)0x17b4, (q15_t)0xce47, (q15_t)0x17aa, (q15_t)0xce4f, (q15_t)0x17a0, (q15_t)0xce57, (q15_t)0x1797, (q15_t)0xce5f, + (q15_t)0x178d, (q15_t)0xce67, (q15_t)0x1783, (q15_t)0xce6f, (q15_t)0x177a, (q15_t)0xce77, (q15_t)0x1770, (q15_t)0xce7f, + (q15_t)0x1766, (q15_t)0xce87, (q15_t)0x175c, (q15_t)0xce8f, (q15_t)0x1753, (q15_t)0xce97, (q15_t)0x1749, (q15_t)0xce9f, + (q15_t)0x173f, (q15_t)0xcea7, (q15_t)0x1736, (q15_t)0xceaf, (q15_t)0x172c, (q15_t)0xceb7, (q15_t)0x1722, (q15_t)0xcebf, + (q15_t)0x1719, (q15_t)0xcec7, (q15_t)0x170f, (q15_t)0xcecf, (q15_t)0x1705, (q15_t)0xced7, (q15_t)0x16fc, (q15_t)0xcedf, + (q15_t)0x16f2, (q15_t)0xcee7, (q15_t)0x16e8, (q15_t)0xceef, (q15_t)0x16df, (q15_t)0xcef7, (q15_t)0x16d5, (q15_t)0xceff, + (q15_t)0x16cb, (q15_t)0xcf07, (q15_t)0x16c2, (q15_t)0xcf10, (q15_t)0x16b8, (q15_t)0xcf18, (q15_t)0x16af, (q15_t)0xcf20, + (q15_t)0x16a5, (q15_t)0xcf28, (q15_t)0x169b, (q15_t)0xcf30, (q15_t)0x1692, (q15_t)0xcf38, (q15_t)0x1688, (q15_t)0xcf40, + (q15_t)0x167f, (q15_t)0xcf48, (q15_t)0x1675, (q15_t)0xcf51, (q15_t)0x166c, (q15_t)0xcf59, (q15_t)0x1662, (q15_t)0xcf61, + (q15_t)0x1659, (q15_t)0xcf69, (q15_t)0x164f, (q15_t)0xcf71, (q15_t)0x1645, (q15_t)0xcf79, (q15_t)0x163c, (q15_t)0xcf82, + (q15_t)0x1632, (q15_t)0xcf8a, (q15_t)0x1629, (q15_t)0xcf92, (q15_t)0x161f, (q15_t)0xcf9a, (q15_t)0x1616, (q15_t)0xcfa3, + (q15_t)0x160c, (q15_t)0xcfab, (q15_t)0x1603, (q15_t)0xcfb3, (q15_t)0x15f9, (q15_t)0xcfbb, (q15_t)0x15f0, (q15_t)0xcfc4, + (q15_t)0x15e6, (q15_t)0xcfcc, (q15_t)0x15dd, (q15_t)0xcfd4, (q15_t)0x15d4, (q15_t)0xcfdc, (q15_t)0x15ca, (q15_t)0xcfe5, + (q15_t)0x15c1, (q15_t)0xcfed, (q15_t)0x15b7, (q15_t)0xcff5, (q15_t)0x15ae, (q15_t)0xcffe, (q15_t)0x15a4, (q15_t)0xd006, + (q15_t)0x159b, (q15_t)0xd00e, (q15_t)0x1592, (q15_t)0xd016, (q15_t)0x1588, (q15_t)0xd01f, (q15_t)0x157f, (q15_t)0xd027, + (q15_t)0x1575, (q15_t)0xd030, (q15_t)0x156c, (q15_t)0xd038, (q15_t)0x1563, (q15_t)0xd040, (q15_t)0x1559, (q15_t)0xd049, + (q15_t)0x1550, (q15_t)0xd051, (q15_t)0x1547, (q15_t)0xd059, (q15_t)0x153d, (q15_t)0xd062, (q15_t)0x1534, (q15_t)0xd06a, + (q15_t)0x152a, (q15_t)0xd073, (q15_t)0x1521, (q15_t)0xd07b, (q15_t)0x1518, (q15_t)0xd083, (q15_t)0x150e, (q15_t)0xd08c, + (q15_t)0x1505, (q15_t)0xd094, (q15_t)0x14fc, (q15_t)0xd09d, (q15_t)0x14f3, (q15_t)0xd0a5, (q15_t)0x14e9, (q15_t)0xd0ae, + (q15_t)0x14e0, (q15_t)0xd0b6, (q15_t)0x14d7, (q15_t)0xd0bf, (q15_t)0x14cd, (q15_t)0xd0c7, (q15_t)0x14c4, (q15_t)0xd0d0, + (q15_t)0x14bb, (q15_t)0xd0d8, (q15_t)0x14b2, (q15_t)0xd0e0, (q15_t)0x14a8, (q15_t)0xd0e9, (q15_t)0x149f, (q15_t)0xd0f2, + (q15_t)0x1496, (q15_t)0xd0fa, (q15_t)0x148d, (q15_t)0xd103, (q15_t)0x1483, (q15_t)0xd10b, (q15_t)0x147a, (q15_t)0xd114, + (q15_t)0x1471, (q15_t)0xd11c, (q15_t)0x1468, (q15_t)0xd125, (q15_t)0x145f, (q15_t)0xd12d, (q15_t)0x1455, (q15_t)0xd136, + (q15_t)0x144c, (q15_t)0xd13e, (q15_t)0x1443, (q15_t)0xd147, (q15_t)0x143a, (q15_t)0xd150, (q15_t)0x1431, (q15_t)0xd158, + (q15_t)0x1428, (q15_t)0xd161, (q15_t)0x141e, (q15_t)0xd169, (q15_t)0x1415, (q15_t)0xd172, (q15_t)0x140c, (q15_t)0xd17b, + (q15_t)0x1403, (q15_t)0xd183, (q15_t)0x13fa, (q15_t)0xd18c, (q15_t)0x13f1, (q15_t)0xd195, (q15_t)0x13e8, (q15_t)0xd19d, + (q15_t)0x13df, (q15_t)0xd1a6, (q15_t)0x13d5, (q15_t)0xd1af, (q15_t)0x13cc, (q15_t)0xd1b7, (q15_t)0x13c3, (q15_t)0xd1c0, + (q15_t)0x13ba, (q15_t)0xd1c9, (q15_t)0x13b1, (q15_t)0xd1d1, (q15_t)0x13a8, (q15_t)0xd1da, (q15_t)0x139f, (q15_t)0xd1e3, + (q15_t)0x1396, (q15_t)0xd1eb, (q15_t)0x138d, (q15_t)0xd1f4, (q15_t)0x1384, (q15_t)0xd1fd, (q15_t)0x137b, (q15_t)0xd206, + (q15_t)0x1372, (q15_t)0xd20e, (q15_t)0x1369, (q15_t)0xd217, (q15_t)0x1360, (q15_t)0xd220, (q15_t)0x1357, (q15_t)0xd229, + (q15_t)0x134e, (q15_t)0xd231, (q15_t)0x1345, (q15_t)0xd23a, (q15_t)0x133c, (q15_t)0xd243, (q15_t)0x1333, (q15_t)0xd24c, + (q15_t)0x132a, (q15_t)0xd255, (q15_t)0x1321, (q15_t)0xd25d, (q15_t)0x1318, (q15_t)0xd266, (q15_t)0x130f, (q15_t)0xd26f, + (q15_t)0x1306, (q15_t)0xd278, (q15_t)0x12fd, (q15_t)0xd281, (q15_t)0x12f4, (q15_t)0xd28a, (q15_t)0x12eb, (q15_t)0xd292, + (q15_t)0x12e2, (q15_t)0xd29b, (q15_t)0x12d9, (q15_t)0xd2a4, (q15_t)0x12d1, (q15_t)0xd2ad, (q15_t)0x12c8, (q15_t)0xd2b6, + (q15_t)0x12bf, (q15_t)0xd2bf, (q15_t)0x12b6, (q15_t)0xd2c8, (q15_t)0x12ad, (q15_t)0xd2d1, (q15_t)0x12a4, (q15_t)0xd2d9, + (q15_t)0x129b, (q15_t)0xd2e2, (q15_t)0x1292, (q15_t)0xd2eb, (q15_t)0x128a, (q15_t)0xd2f4, (q15_t)0x1281, (q15_t)0xd2fd, + (q15_t)0x1278, (q15_t)0xd306, (q15_t)0x126f, (q15_t)0xd30f, (q15_t)0x1266, (q15_t)0xd318, (q15_t)0x125d, (q15_t)0xd321, + (q15_t)0x1255, (q15_t)0xd32a, (q15_t)0x124c, (q15_t)0xd333, (q15_t)0x1243, (q15_t)0xd33c, (q15_t)0x123a, (q15_t)0xd345, + (q15_t)0x1231, (q15_t)0xd34e, (q15_t)0x1229, (q15_t)0xd357, (q15_t)0x1220, (q15_t)0xd360, (q15_t)0x1217, (q15_t)0xd369, + (q15_t)0x120e, (q15_t)0xd372, (q15_t)0x1206, (q15_t)0xd37b, (q15_t)0x11fd, (q15_t)0xd384, (q15_t)0x11f4, (q15_t)0xd38d, + (q15_t)0x11eb, (q15_t)0xd396, (q15_t)0x11e3, (q15_t)0xd39f, (q15_t)0x11da, (q15_t)0xd3a8, (q15_t)0x11d1, (q15_t)0xd3b1, + (q15_t)0x11c9, (q15_t)0xd3ba, (q15_t)0x11c0, (q15_t)0xd3c3, (q15_t)0x11b7, (q15_t)0xd3cc, (q15_t)0x11af, (q15_t)0xd3d5, + (q15_t)0x11a6, (q15_t)0xd3df, (q15_t)0x119d, (q15_t)0xd3e8, (q15_t)0x1195, (q15_t)0xd3f1, (q15_t)0x118c, (q15_t)0xd3fa, + (q15_t)0x1183, (q15_t)0xd403, (q15_t)0x117b, (q15_t)0xd40c, (q15_t)0x1172, (q15_t)0xd415, (q15_t)0x1169, (q15_t)0xd41e, + (q15_t)0x1161, (q15_t)0xd428, (q15_t)0x1158, (q15_t)0xd431, (q15_t)0x1150, (q15_t)0xd43a, (q15_t)0x1147, (q15_t)0xd443, + (q15_t)0x113e, (q15_t)0xd44c, (q15_t)0x1136, (q15_t)0xd455, (q15_t)0x112d, (q15_t)0xd45f, (q15_t)0x1125, (q15_t)0xd468, + (q15_t)0x111c, (q15_t)0xd471, (q15_t)0x1114, (q15_t)0xd47a, (q15_t)0x110b, (q15_t)0xd483, (q15_t)0x1103, (q15_t)0xd48d, + (q15_t)0x10fa, (q15_t)0xd496, (q15_t)0x10f2, (q15_t)0xd49f, (q15_t)0x10e9, (q15_t)0xd4a8, (q15_t)0x10e0, (q15_t)0xd4b2, + (q15_t)0x10d8, (q15_t)0xd4bb, (q15_t)0x10d0, (q15_t)0xd4c4, (q15_t)0x10c7, (q15_t)0xd4cd, (q15_t)0x10bf, (q15_t)0xd4d7, + (q15_t)0x10b6, (q15_t)0xd4e0, (q15_t)0x10ae, (q15_t)0xd4e9, (q15_t)0x10a5, (q15_t)0xd4f3, (q15_t)0x109d, (q15_t)0xd4fc, + (q15_t)0x1094, (q15_t)0xd505, (q15_t)0x108c, (q15_t)0xd50e, (q15_t)0x1083, (q15_t)0xd518, (q15_t)0x107b, (q15_t)0xd521, + (q15_t)0x1073, (q15_t)0xd52a, (q15_t)0x106a, (q15_t)0xd534, (q15_t)0x1062, (q15_t)0xd53d, (q15_t)0x1059, (q15_t)0xd547, + (q15_t)0x1051, (q15_t)0xd550, (q15_t)0x1049, (q15_t)0xd559, (q15_t)0x1040, (q15_t)0xd563, (q15_t)0x1038, (q15_t)0xd56c, + (q15_t)0x1030, (q15_t)0xd575, (q15_t)0x1027, (q15_t)0xd57f, (q15_t)0x101f, (q15_t)0xd588, (q15_t)0x1016, (q15_t)0xd592, + (q15_t)0x100e, (q15_t)0xd59b, (q15_t)0x1006, (q15_t)0xd5a4, (q15_t)0xffe, (q15_t)0xd5ae, (q15_t)0xff5, (q15_t)0xd5b7, + (q15_t)0xfed, (q15_t)0xd5c1, (q15_t)0xfe5, (q15_t)0xd5ca, (q15_t)0xfdc, (q15_t)0xd5d4, (q15_t)0xfd4, (q15_t)0xd5dd, + (q15_t)0xfcc, (q15_t)0xd5e6, (q15_t)0xfc4, (q15_t)0xd5f0, (q15_t)0xfbb, (q15_t)0xd5f9, (q15_t)0xfb3, (q15_t)0xd603, + (q15_t)0xfab, (q15_t)0xd60c, (q15_t)0xfa3, (q15_t)0xd616, (q15_t)0xf9a, (q15_t)0xd61f, (q15_t)0xf92, (q15_t)0xd629, + (q15_t)0xf8a, (q15_t)0xd632, (q15_t)0xf82, (q15_t)0xd63c, (q15_t)0xf79, (q15_t)0xd645, (q15_t)0xf71, (q15_t)0xd64f, + (q15_t)0xf69, (q15_t)0xd659, (q15_t)0xf61, (q15_t)0xd662, (q15_t)0xf59, (q15_t)0xd66c, (q15_t)0xf51, (q15_t)0xd675, + (q15_t)0xf48, (q15_t)0xd67f, (q15_t)0xf40, (q15_t)0xd688, (q15_t)0xf38, (q15_t)0xd692, (q15_t)0xf30, (q15_t)0xd69b, + (q15_t)0xf28, (q15_t)0xd6a5, (q15_t)0xf20, (q15_t)0xd6af, (q15_t)0xf18, (q15_t)0xd6b8, (q15_t)0xf10, (q15_t)0xd6c2, + (q15_t)0xf07, (q15_t)0xd6cb, (q15_t)0xeff, (q15_t)0xd6d5, (q15_t)0xef7, (q15_t)0xd6df, (q15_t)0xeef, (q15_t)0xd6e8, + (q15_t)0xee7, (q15_t)0xd6f2, (q15_t)0xedf, (q15_t)0xd6fc, (q15_t)0xed7, (q15_t)0xd705, (q15_t)0xecf, (q15_t)0xd70f, + (q15_t)0xec7, (q15_t)0xd719, (q15_t)0xebf, (q15_t)0xd722, (q15_t)0xeb7, (q15_t)0xd72c, (q15_t)0xeaf, (q15_t)0xd736, + (q15_t)0xea7, (q15_t)0xd73f, (q15_t)0xe9f, (q15_t)0xd749, (q15_t)0xe97, (q15_t)0xd753, (q15_t)0xe8f, (q15_t)0xd75c, + (q15_t)0xe87, (q15_t)0xd766, (q15_t)0xe7f, (q15_t)0xd770, (q15_t)0xe77, (q15_t)0xd77a, (q15_t)0xe6f, (q15_t)0xd783, + (q15_t)0xe67, (q15_t)0xd78d, (q15_t)0xe5f, (q15_t)0xd797, (q15_t)0xe57, (q15_t)0xd7a0, (q15_t)0xe4f, (q15_t)0xd7aa, + (q15_t)0xe47, (q15_t)0xd7b4, (q15_t)0xe40, (q15_t)0xd7be, (q15_t)0xe38, (q15_t)0xd7c8, (q15_t)0xe30, (q15_t)0xd7d1, + (q15_t)0xe28, (q15_t)0xd7db, (q15_t)0xe20, (q15_t)0xd7e5, (q15_t)0xe18, (q15_t)0xd7ef, (q15_t)0xe10, (q15_t)0xd7f8, + (q15_t)0xe08, (q15_t)0xd802, (q15_t)0xe01, (q15_t)0xd80c, (q15_t)0xdf9, (q15_t)0xd816, (q15_t)0xdf1, (q15_t)0xd820, + (q15_t)0xde9, (q15_t)0xd82a, (q15_t)0xde1, (q15_t)0xd833, (q15_t)0xdd9, (q15_t)0xd83d, (q15_t)0xdd2, (q15_t)0xd847, + (q15_t)0xdca, (q15_t)0xd851, (q15_t)0xdc2, (q15_t)0xd85b, (q15_t)0xdba, (q15_t)0xd865, (q15_t)0xdb2, (q15_t)0xd86f, + (q15_t)0xdab, (q15_t)0xd878, (q15_t)0xda3, (q15_t)0xd882, (q15_t)0xd9b, (q15_t)0xd88c, (q15_t)0xd93, (q15_t)0xd896, + (q15_t)0xd8c, (q15_t)0xd8a0, (q15_t)0xd84, (q15_t)0xd8aa, (q15_t)0xd7c, (q15_t)0xd8b4, (q15_t)0xd75, (q15_t)0xd8be, + (q15_t)0xd6d, (q15_t)0xd8c8, (q15_t)0xd65, (q15_t)0xd8d2, (q15_t)0xd5d, (q15_t)0xd8dc, (q15_t)0xd56, (q15_t)0xd8e6, + (q15_t)0xd4e, (q15_t)0xd8ef, (q15_t)0xd46, (q15_t)0xd8f9, (q15_t)0xd3f, (q15_t)0xd903, (q15_t)0xd37, (q15_t)0xd90d, + (q15_t)0xd30, (q15_t)0xd917, (q15_t)0xd28, (q15_t)0xd921, (q15_t)0xd20, (q15_t)0xd92b, (q15_t)0xd19, (q15_t)0xd935, + (q15_t)0xd11, (q15_t)0xd93f, (q15_t)0xd09, (q15_t)0xd949, (q15_t)0xd02, (q15_t)0xd953, (q15_t)0xcfa, (q15_t)0xd95d, + (q15_t)0xcf3, (q15_t)0xd967, (q15_t)0xceb, (q15_t)0xd971, (q15_t)0xce3, (q15_t)0xd97b, (q15_t)0xcdc, (q15_t)0xd985, + (q15_t)0xcd4, (q15_t)0xd98f, (q15_t)0xccd, (q15_t)0xd99a, (q15_t)0xcc5, (q15_t)0xd9a4, (q15_t)0xcbe, (q15_t)0xd9ae, + (q15_t)0xcb6, (q15_t)0xd9b8, (q15_t)0xcaf, (q15_t)0xd9c2, (q15_t)0xca7, (q15_t)0xd9cc, (q15_t)0xca0, (q15_t)0xd9d6, + (q15_t)0xc98, (q15_t)0xd9e0, (q15_t)0xc91, (q15_t)0xd9ea, (q15_t)0xc89, (q15_t)0xd9f4, (q15_t)0xc82, (q15_t)0xd9fe, + (q15_t)0xc7a, (q15_t)0xda08, (q15_t)0xc73, (q15_t)0xda13, (q15_t)0xc6b, (q15_t)0xda1d, (q15_t)0xc64, (q15_t)0xda27, + (q15_t)0xc5d, (q15_t)0xda31, (q15_t)0xc55, (q15_t)0xda3b, (q15_t)0xc4e, (q15_t)0xda45, (q15_t)0xc46, (q15_t)0xda4f, + (q15_t)0xc3f, (q15_t)0xda5a, (q15_t)0xc38, (q15_t)0xda64, (q15_t)0xc30, (q15_t)0xda6e, (q15_t)0xc29, (q15_t)0xda78, + (q15_t)0xc21, (q15_t)0xda82, (q15_t)0xc1a, (q15_t)0xda8c, (q15_t)0xc13, (q15_t)0xda97, (q15_t)0xc0b, (q15_t)0xdaa1, + (q15_t)0xc04, (q15_t)0xdaab, (q15_t)0xbfd, (q15_t)0xdab5, (q15_t)0xbf5, (q15_t)0xdabf, (q15_t)0xbee, (q15_t)0xdaca, + (q15_t)0xbe7, (q15_t)0xdad4, (q15_t)0xbe0, (q15_t)0xdade, (q15_t)0xbd8, (q15_t)0xdae8, (q15_t)0xbd1, (q15_t)0xdaf3, + (q15_t)0xbca, (q15_t)0xdafd, (q15_t)0xbc2, (q15_t)0xdb07, (q15_t)0xbbb, (q15_t)0xdb11, (q15_t)0xbb4, (q15_t)0xdb1c, + (q15_t)0xbad, (q15_t)0xdb26, (q15_t)0xba5, (q15_t)0xdb30, (q15_t)0xb9e, (q15_t)0xdb3b, (q15_t)0xb97, (q15_t)0xdb45, + (q15_t)0xb90, (q15_t)0xdb4f, (q15_t)0xb89, (q15_t)0xdb59, (q15_t)0xb81, (q15_t)0xdb64, (q15_t)0xb7a, (q15_t)0xdb6e, + (q15_t)0xb73, (q15_t)0xdb78, (q15_t)0xb6c, (q15_t)0xdb83, (q15_t)0xb65, (q15_t)0xdb8d, (q15_t)0xb5e, (q15_t)0xdb97, + (q15_t)0xb56, (q15_t)0xdba2, (q15_t)0xb4f, (q15_t)0xdbac, (q15_t)0xb48, (q15_t)0xdbb6, (q15_t)0xb41, (q15_t)0xdbc1, + (q15_t)0xb3a, (q15_t)0xdbcb, (q15_t)0xb33, (q15_t)0xdbd5, (q15_t)0xb2c, (q15_t)0xdbe0, (q15_t)0xb25, (q15_t)0xdbea, + (q15_t)0xb1e, (q15_t)0xdbf5, (q15_t)0xb16, (q15_t)0xdbff, (q15_t)0xb0f, (q15_t)0xdc09, (q15_t)0xb08, (q15_t)0xdc14, + (q15_t)0xb01, (q15_t)0xdc1e, (q15_t)0xafa, (q15_t)0xdc29, (q15_t)0xaf3, (q15_t)0xdc33, (q15_t)0xaec, (q15_t)0xdc3d, + (q15_t)0xae5, (q15_t)0xdc48, (q15_t)0xade, (q15_t)0xdc52, (q15_t)0xad7, (q15_t)0xdc5d, (q15_t)0xad0, (q15_t)0xdc67, + (q15_t)0xac9, (q15_t)0xdc72, (q15_t)0xac2, (q15_t)0xdc7c, (q15_t)0xabb, (q15_t)0xdc86, (q15_t)0xab4, (q15_t)0xdc91, + (q15_t)0xaad, (q15_t)0xdc9b, (q15_t)0xaa6, (q15_t)0xdca6, (q15_t)0xa9f, (q15_t)0xdcb0, (q15_t)0xa99, (q15_t)0xdcbb, + (q15_t)0xa92, (q15_t)0xdcc5, (q15_t)0xa8b, (q15_t)0xdcd0, (q15_t)0xa84, (q15_t)0xdcda, (q15_t)0xa7d, (q15_t)0xdce5, + (q15_t)0xa76, (q15_t)0xdcef, (q15_t)0xa6f, (q15_t)0xdcfa, (q15_t)0xa68, (q15_t)0xdd04, (q15_t)0xa61, (q15_t)0xdd0f, + (q15_t)0xa5b, (q15_t)0xdd19, (q15_t)0xa54, (q15_t)0xdd24, (q15_t)0xa4d, (q15_t)0xdd2e, (q15_t)0xa46, (q15_t)0xdd39, + (q15_t)0xa3f, (q15_t)0xdd44, (q15_t)0xa38, (q15_t)0xdd4e, (q15_t)0xa32, (q15_t)0xdd59, (q15_t)0xa2b, (q15_t)0xdd63, + (q15_t)0xa24, (q15_t)0xdd6e, (q15_t)0xa1d, (q15_t)0xdd78, (q15_t)0xa16, (q15_t)0xdd83, (q15_t)0xa10, (q15_t)0xdd8e, + (q15_t)0xa09, (q15_t)0xdd98, (q15_t)0xa02, (q15_t)0xdda3, (q15_t)0x9fb, (q15_t)0xddad, (q15_t)0x9f5, (q15_t)0xddb8, + (q15_t)0x9ee, (q15_t)0xddc3, (q15_t)0x9e7, (q15_t)0xddcd, (q15_t)0x9e0, (q15_t)0xddd8, (q15_t)0x9da, (q15_t)0xdde2, + (q15_t)0x9d3, (q15_t)0xdded, (q15_t)0x9cc, (q15_t)0xddf8, (q15_t)0x9c6, (q15_t)0xde02, (q15_t)0x9bf, (q15_t)0xde0d, + (q15_t)0x9b8, (q15_t)0xde18, (q15_t)0x9b2, (q15_t)0xde22, (q15_t)0x9ab, (q15_t)0xde2d, (q15_t)0x9a4, (q15_t)0xde38, + (q15_t)0x99e, (q15_t)0xde42, (q15_t)0x997, (q15_t)0xde4d, (q15_t)0x991, (q15_t)0xde58, (q15_t)0x98a, (q15_t)0xde62, + (q15_t)0x983, (q15_t)0xde6d, (q15_t)0x97d, (q15_t)0xde78, (q15_t)0x976, (q15_t)0xde83, (q15_t)0x970, (q15_t)0xde8d, + (q15_t)0x969, (q15_t)0xde98, (q15_t)0x963, (q15_t)0xdea3, (q15_t)0x95c, (q15_t)0xdead, (q15_t)0x955, (q15_t)0xdeb8, + (q15_t)0x94f, (q15_t)0xdec3, (q15_t)0x948, (q15_t)0xdece, (q15_t)0x942, (q15_t)0xded8, (q15_t)0x93b, (q15_t)0xdee3, + (q15_t)0x935, (q15_t)0xdeee, (q15_t)0x92e, (q15_t)0xdef9, (q15_t)0x928, (q15_t)0xdf03, (q15_t)0x921, (q15_t)0xdf0e, + (q15_t)0x91b, (q15_t)0xdf19, (q15_t)0x915, (q15_t)0xdf24, (q15_t)0x90e, (q15_t)0xdf2f, (q15_t)0x908, (q15_t)0xdf39, + (q15_t)0x901, (q15_t)0xdf44, (q15_t)0x8fb, (q15_t)0xdf4f, (q15_t)0x8f4, (q15_t)0xdf5a, (q15_t)0x8ee, (q15_t)0xdf65, + (q15_t)0x8e8, (q15_t)0xdf6f, (q15_t)0x8e1, (q15_t)0xdf7a, (q15_t)0x8db, (q15_t)0xdf85, (q15_t)0x8d4, (q15_t)0xdf90, + (q15_t)0x8ce, (q15_t)0xdf9b, (q15_t)0x8c8, (q15_t)0xdfa5, (q15_t)0x8c1, (q15_t)0xdfb0, (q15_t)0x8bb, (q15_t)0xdfbb, + (q15_t)0x8b5, (q15_t)0xdfc6, (q15_t)0x8ae, (q15_t)0xdfd1, (q15_t)0x8a8, (q15_t)0xdfdc, (q15_t)0x8a2, (q15_t)0xdfe7, + (q15_t)0x89b, (q15_t)0xdff1, (q15_t)0x895, (q15_t)0xdffc, (q15_t)0x88f, (q15_t)0xe007, (q15_t)0x889, (q15_t)0xe012, + (q15_t)0x882, (q15_t)0xe01d, (q15_t)0x87c, (q15_t)0xe028, (q15_t)0x876, (q15_t)0xe033, (q15_t)0x870, (q15_t)0xe03e, + (q15_t)0x869, (q15_t)0xe049, (q15_t)0x863, (q15_t)0xe054, (q15_t)0x85d, (q15_t)0xe05e, (q15_t)0x857, (q15_t)0xe069, + (q15_t)0x850, (q15_t)0xe074, (q15_t)0x84a, (q15_t)0xe07f, (q15_t)0x844, (q15_t)0xe08a, (q15_t)0x83e, (q15_t)0xe095, + (q15_t)0x838, (q15_t)0xe0a0, (q15_t)0x832, (q15_t)0xe0ab, (q15_t)0x82b, (q15_t)0xe0b6, (q15_t)0x825, (q15_t)0xe0c1, + (q15_t)0x81f, (q15_t)0xe0cc, (q15_t)0x819, (q15_t)0xe0d7, (q15_t)0x813, (q15_t)0xe0e2, (q15_t)0x80d, (q15_t)0xe0ed, + (q15_t)0x807, (q15_t)0xe0f8, (q15_t)0x801, (q15_t)0xe103, (q15_t)0x7fb, (q15_t)0xe10e, (q15_t)0x7f5, (q15_t)0xe119, + (q15_t)0x7ee, (q15_t)0xe124, (q15_t)0x7e8, (q15_t)0xe12f, (q15_t)0x7e2, (q15_t)0xe13a, (q15_t)0x7dc, (q15_t)0xe145, + (q15_t)0x7d6, (q15_t)0xe150, (q15_t)0x7d0, (q15_t)0xe15b, (q15_t)0x7ca, (q15_t)0xe166, (q15_t)0x7c4, (q15_t)0xe171, + (q15_t)0x7be, (q15_t)0xe17c, (q15_t)0x7b8, (q15_t)0xe187, (q15_t)0x7b2, (q15_t)0xe192, (q15_t)0x7ac, (q15_t)0xe19d, + (q15_t)0x7a6, (q15_t)0xe1a8, (q15_t)0x7a0, (q15_t)0xe1b3, (q15_t)0x79a, (q15_t)0xe1be, (q15_t)0x795, (q15_t)0xe1ca, + (q15_t)0x78f, (q15_t)0xe1d5, (q15_t)0x789, (q15_t)0xe1e0, (q15_t)0x783, (q15_t)0xe1eb, (q15_t)0x77d, (q15_t)0xe1f6, + (q15_t)0x777, (q15_t)0xe201, (q15_t)0x771, (q15_t)0xe20c, (q15_t)0x76b, (q15_t)0xe217, (q15_t)0x765, (q15_t)0xe222, + (q15_t)0x75f, (q15_t)0xe22d, (q15_t)0x75a, (q15_t)0xe239, (q15_t)0x754, (q15_t)0xe244, (q15_t)0x74e, (q15_t)0xe24f, + (q15_t)0x748, (q15_t)0xe25a, (q15_t)0x742, (q15_t)0xe265, (q15_t)0x73d, (q15_t)0xe270, (q15_t)0x737, (q15_t)0xe27b, + (q15_t)0x731, (q15_t)0xe287, (q15_t)0x72b, (q15_t)0xe292, (q15_t)0x725, (q15_t)0xe29d, (q15_t)0x720, (q15_t)0xe2a8, + (q15_t)0x71a, (q15_t)0xe2b3, (q15_t)0x714, (q15_t)0xe2be, (q15_t)0x70e, (q15_t)0xe2ca, (q15_t)0x709, (q15_t)0xe2d5, + (q15_t)0x703, (q15_t)0xe2e0, (q15_t)0x6fd, (q15_t)0xe2eb, (q15_t)0x6f7, (q15_t)0xe2f6, (q15_t)0x6f2, (q15_t)0xe301, + (q15_t)0x6ec, (q15_t)0xe30d, (q15_t)0x6e6, (q15_t)0xe318, (q15_t)0x6e1, (q15_t)0xe323, (q15_t)0x6db, (q15_t)0xe32e, + (q15_t)0x6d5, (q15_t)0xe33a, (q15_t)0x6d0, (q15_t)0xe345, (q15_t)0x6ca, (q15_t)0xe350, (q15_t)0x6c5, (q15_t)0xe35b, + (q15_t)0x6bf, (q15_t)0xe367, (q15_t)0x6b9, (q15_t)0xe372, (q15_t)0x6b4, (q15_t)0xe37d, (q15_t)0x6ae, (q15_t)0xe388, + (q15_t)0x6a8, (q15_t)0xe394, (q15_t)0x6a3, (q15_t)0xe39f, (q15_t)0x69d, (q15_t)0xe3aa, (q15_t)0x698, (q15_t)0xe3b5, + (q15_t)0x692, (q15_t)0xe3c1, (q15_t)0x68d, (q15_t)0xe3cc, (q15_t)0x687, (q15_t)0xe3d7, (q15_t)0x682, (q15_t)0xe3e2, + (q15_t)0x67c, (q15_t)0xe3ee, (q15_t)0x677, (q15_t)0xe3f9, (q15_t)0x671, (q15_t)0xe404, (q15_t)0x66c, (q15_t)0xe410, + (q15_t)0x666, (q15_t)0xe41b, (q15_t)0x661, (q15_t)0xe426, (q15_t)0x65b, (q15_t)0xe432, (q15_t)0x656, (q15_t)0xe43d, + (q15_t)0x650, (q15_t)0xe448, (q15_t)0x64b, (q15_t)0xe454, (q15_t)0x645, (q15_t)0xe45f, (q15_t)0x640, (q15_t)0xe46a, + (q15_t)0x63b, (q15_t)0xe476, (q15_t)0x635, (q15_t)0xe481, (q15_t)0x630, (q15_t)0xe48c, (q15_t)0x62a, (q15_t)0xe498, + (q15_t)0x625, (q15_t)0xe4a3, (q15_t)0x620, (q15_t)0xe4ae, (q15_t)0x61a, (q15_t)0xe4ba, (q15_t)0x615, (q15_t)0xe4c5, + (q15_t)0x610, (q15_t)0xe4d0, (q15_t)0x60a, (q15_t)0xe4dc, (q15_t)0x605, (q15_t)0xe4e7, (q15_t)0x600, (q15_t)0xe4f3, + (q15_t)0x5fa, (q15_t)0xe4fe, (q15_t)0x5f5, (q15_t)0xe509, (q15_t)0x5f0, (q15_t)0xe515, (q15_t)0x5ea, (q15_t)0xe520, + (q15_t)0x5e5, (q15_t)0xe52c, (q15_t)0x5e0, (q15_t)0xe537, (q15_t)0x5db, (q15_t)0xe542, (q15_t)0x5d5, (q15_t)0xe54e, + (q15_t)0x5d0, (q15_t)0xe559, (q15_t)0x5cb, (q15_t)0xe565, (q15_t)0x5c6, (q15_t)0xe570, (q15_t)0x5c1, (q15_t)0xe57c, + (q15_t)0x5bb, (q15_t)0xe587, (q15_t)0x5b6, (q15_t)0xe592, (q15_t)0x5b1, (q15_t)0xe59e, (q15_t)0x5ac, (q15_t)0xe5a9, + (q15_t)0x5a7, (q15_t)0xe5b5, (q15_t)0x5a1, (q15_t)0xe5c0, (q15_t)0x59c, (q15_t)0xe5cc, (q15_t)0x597, (q15_t)0xe5d7, + (q15_t)0x592, (q15_t)0xe5e3, (q15_t)0x58d, (q15_t)0xe5ee, (q15_t)0x588, (q15_t)0xe5fa, (q15_t)0x583, (q15_t)0xe605, + (q15_t)0x57e, (q15_t)0xe611, (q15_t)0x578, (q15_t)0xe61c, (q15_t)0x573, (q15_t)0xe628, (q15_t)0x56e, (q15_t)0xe633, + (q15_t)0x569, (q15_t)0xe63f, (q15_t)0x564, (q15_t)0xe64a, (q15_t)0x55f, (q15_t)0xe656, (q15_t)0x55a, (q15_t)0xe661, + (q15_t)0x555, (q15_t)0xe66d, (q15_t)0x550, (q15_t)0xe678, (q15_t)0x54b, (q15_t)0xe684, (q15_t)0x546, (q15_t)0xe68f, + (q15_t)0x541, (q15_t)0xe69b, (q15_t)0x53c, (q15_t)0xe6a6, (q15_t)0x537, (q15_t)0xe6b2, (q15_t)0x532, (q15_t)0xe6bd, + (q15_t)0x52d, (q15_t)0xe6c9, (q15_t)0x528, (q15_t)0xe6d4, (q15_t)0x523, (q15_t)0xe6e0, (q15_t)0x51e, (q15_t)0xe6ec, + (q15_t)0x51a, (q15_t)0xe6f7, (q15_t)0x515, (q15_t)0xe703, (q15_t)0x510, (q15_t)0xe70e, (q15_t)0x50b, (q15_t)0xe71a, + (q15_t)0x506, (q15_t)0xe725, (q15_t)0x501, (q15_t)0xe731, (q15_t)0x4fc, (q15_t)0xe73d, (q15_t)0x4f7, (q15_t)0xe748, + (q15_t)0x4f2, (q15_t)0xe754, (q15_t)0x4ee, (q15_t)0xe75f, (q15_t)0x4e9, (q15_t)0xe76b, (q15_t)0x4e4, (q15_t)0xe777, + (q15_t)0x4df, (q15_t)0xe782, (q15_t)0x4da, (q15_t)0xe78e, (q15_t)0x4d6, (q15_t)0xe799, (q15_t)0x4d1, (q15_t)0xe7a5, + (q15_t)0x4cc, (q15_t)0xe7b1, (q15_t)0x4c7, (q15_t)0xe7bc, (q15_t)0x4c2, (q15_t)0xe7c8, (q15_t)0x4be, (q15_t)0xe7d3, + (q15_t)0x4b9, (q15_t)0xe7df, (q15_t)0x4b4, (q15_t)0xe7eb, (q15_t)0x4b0, (q15_t)0xe7f6, (q15_t)0x4ab, (q15_t)0xe802, + (q15_t)0x4a6, (q15_t)0xe80e, (q15_t)0x4a1, (q15_t)0xe819, (q15_t)0x49d, (q15_t)0xe825, (q15_t)0x498, (q15_t)0xe831, + (q15_t)0x493, (q15_t)0xe83c, (q15_t)0x48f, (q15_t)0xe848, (q15_t)0x48a, (q15_t)0xe854, (q15_t)0x485, (q15_t)0xe85f, + (q15_t)0x481, (q15_t)0xe86b, (q15_t)0x47c, (q15_t)0xe877, (q15_t)0x478, (q15_t)0xe882, (q15_t)0x473, (q15_t)0xe88e, + (q15_t)0x46e, (q15_t)0xe89a, (q15_t)0x46a, (q15_t)0xe8a5, (q15_t)0x465, (q15_t)0xe8b1, (q15_t)0x461, (q15_t)0xe8bd, + (q15_t)0x45c, (q15_t)0xe8c9, (q15_t)0x457, (q15_t)0xe8d4, (q15_t)0x453, (q15_t)0xe8e0, (q15_t)0x44e, (q15_t)0xe8ec, + (q15_t)0x44a, (q15_t)0xe8f7, (q15_t)0x445, (q15_t)0xe903, (q15_t)0x441, (q15_t)0xe90f, (q15_t)0x43c, (q15_t)0xe91b, + (q15_t)0x438, (q15_t)0xe926, (q15_t)0x433, (q15_t)0xe932, (q15_t)0x42f, (q15_t)0xe93e, (q15_t)0x42a, (q15_t)0xe94a, + (q15_t)0x426, (q15_t)0xe955, (q15_t)0x422, (q15_t)0xe961, (q15_t)0x41d, (q15_t)0xe96d, (q15_t)0x419, (q15_t)0xe979, + (q15_t)0x414, (q15_t)0xe984, (q15_t)0x410, (q15_t)0xe990, (q15_t)0x40b, (q15_t)0xe99c, (q15_t)0x407, (q15_t)0xe9a8, + (q15_t)0x403, (q15_t)0xe9b4, (q15_t)0x3fe, (q15_t)0xe9bf, (q15_t)0x3fa, (q15_t)0xe9cb, (q15_t)0x3f6, (q15_t)0xe9d7, + (q15_t)0x3f1, (q15_t)0xe9e3, (q15_t)0x3ed, (q15_t)0xe9ee, (q15_t)0x3e9, (q15_t)0xe9fa, (q15_t)0x3e4, (q15_t)0xea06, + (q15_t)0x3e0, (q15_t)0xea12, (q15_t)0x3dc, (q15_t)0xea1e, (q15_t)0x3d7, (q15_t)0xea29, (q15_t)0x3d3, (q15_t)0xea35, + (q15_t)0x3cf, (q15_t)0xea41, (q15_t)0x3ca, (q15_t)0xea4d, (q15_t)0x3c6, (q15_t)0xea59, (q15_t)0x3c2, (q15_t)0xea65, + (q15_t)0x3be, (q15_t)0xea70, (q15_t)0x3ba, (q15_t)0xea7c, (q15_t)0x3b5, (q15_t)0xea88, (q15_t)0x3b1, (q15_t)0xea94, + (q15_t)0x3ad, (q15_t)0xeaa0, (q15_t)0x3a9, (q15_t)0xeaac, (q15_t)0x3a5, (q15_t)0xeab7, (q15_t)0x3a0, (q15_t)0xeac3, + (q15_t)0x39c, (q15_t)0xeacf, (q15_t)0x398, (q15_t)0xeadb, (q15_t)0x394, (q15_t)0xeae7, (q15_t)0x390, (q15_t)0xeaf3, + (q15_t)0x38c, (q15_t)0xeaff, (q15_t)0x387, (q15_t)0xeb0a, (q15_t)0x383, (q15_t)0xeb16, (q15_t)0x37f, (q15_t)0xeb22, + (q15_t)0x37b, (q15_t)0xeb2e, (q15_t)0x377, (q15_t)0xeb3a, (q15_t)0x373, (q15_t)0xeb46, (q15_t)0x36f, (q15_t)0xeb52, + (q15_t)0x36b, (q15_t)0xeb5e, (q15_t)0x367, (q15_t)0xeb6a, (q15_t)0x363, (q15_t)0xeb75, (q15_t)0x35f, (q15_t)0xeb81, + (q15_t)0x35b, (q15_t)0xeb8d, (q15_t)0x357, (q15_t)0xeb99, (q15_t)0x353, (q15_t)0xeba5, (q15_t)0x34f, (q15_t)0xebb1, + (q15_t)0x34b, (q15_t)0xebbd, (q15_t)0x347, (q15_t)0xebc9, (q15_t)0x343, (q15_t)0xebd5, (q15_t)0x33f, (q15_t)0xebe1, + (q15_t)0x33b, (q15_t)0xebed, (q15_t)0x337, (q15_t)0xebf9, (q15_t)0x333, (q15_t)0xec05, (q15_t)0x32f, (q15_t)0xec10, + (q15_t)0x32b, (q15_t)0xec1c, (q15_t)0x327, (q15_t)0xec28, (q15_t)0x323, (q15_t)0xec34, (q15_t)0x320, (q15_t)0xec40, + (q15_t)0x31c, (q15_t)0xec4c, (q15_t)0x318, (q15_t)0xec58, (q15_t)0x314, (q15_t)0xec64, (q15_t)0x310, (q15_t)0xec70, + (q15_t)0x30c, (q15_t)0xec7c, (q15_t)0x308, (q15_t)0xec88, (q15_t)0x305, (q15_t)0xec94, (q15_t)0x301, (q15_t)0xeca0, + (q15_t)0x2fd, (q15_t)0xecac, (q15_t)0x2f9, (q15_t)0xecb8, (q15_t)0x2f5, (q15_t)0xecc4, (q15_t)0x2f2, (q15_t)0xecd0, + (q15_t)0x2ee, (q15_t)0xecdc, (q15_t)0x2ea, (q15_t)0xece8, (q15_t)0x2e6, (q15_t)0xecf4, (q15_t)0x2e3, (q15_t)0xed00, + (q15_t)0x2df, (q15_t)0xed0c, (q15_t)0x2db, (q15_t)0xed18, (q15_t)0x2d8, (q15_t)0xed24, (q15_t)0x2d4, (q15_t)0xed30, + (q15_t)0x2d0, (q15_t)0xed3c, (q15_t)0x2cc, (q15_t)0xed48, (q15_t)0x2c9, (q15_t)0xed54, (q15_t)0x2c5, (q15_t)0xed60, + (q15_t)0x2c1, (q15_t)0xed6c, (q15_t)0x2be, (q15_t)0xed78, (q15_t)0x2ba, (q15_t)0xed84, (q15_t)0x2b7, (q15_t)0xed90, + (q15_t)0x2b3, (q15_t)0xed9c, (q15_t)0x2af, (q15_t)0xeda8, (q15_t)0x2ac, (q15_t)0xedb4, (q15_t)0x2a8, (q15_t)0xedc0, + (q15_t)0x2a5, (q15_t)0xedcc, (q15_t)0x2a1, (q15_t)0xedd8, (q15_t)0x29d, (q15_t)0xede4, (q15_t)0x29a, (q15_t)0xedf0, + (q15_t)0x296, (q15_t)0xedfc, (q15_t)0x293, (q15_t)0xee09, (q15_t)0x28f, (q15_t)0xee15, (q15_t)0x28c, (q15_t)0xee21, + (q15_t)0x288, (q15_t)0xee2d, (q15_t)0x285, (q15_t)0xee39, (q15_t)0x281, (q15_t)0xee45, (q15_t)0x27e, (q15_t)0xee51, + (q15_t)0x27a, (q15_t)0xee5d, (q15_t)0x277, (q15_t)0xee69, (q15_t)0x273, (q15_t)0xee75, (q15_t)0x270, (q15_t)0xee81, + (q15_t)0x26d, (q15_t)0xee8d, (q15_t)0x269, (q15_t)0xee99, (q15_t)0x266, (q15_t)0xeea6, (q15_t)0x262, (q15_t)0xeeb2, + (q15_t)0x25f, (q15_t)0xeebe, (q15_t)0x25c, (q15_t)0xeeca, (q15_t)0x258, (q15_t)0xeed6, (q15_t)0x255, (q15_t)0xeee2, + (q15_t)0x251, (q15_t)0xeeee, (q15_t)0x24e, (q15_t)0xeefa, (q15_t)0x24b, (q15_t)0xef06, (q15_t)0x247, (q15_t)0xef13, + (q15_t)0x244, (q15_t)0xef1f, (q15_t)0x241, (q15_t)0xef2b, (q15_t)0x23e, (q15_t)0xef37, (q15_t)0x23a, (q15_t)0xef43, + (q15_t)0x237, (q15_t)0xef4f, (q15_t)0x234, (q15_t)0xef5b, (q15_t)0x230, (q15_t)0xef67, (q15_t)0x22d, (q15_t)0xef74, + (q15_t)0x22a, (q15_t)0xef80, (q15_t)0x227, (q15_t)0xef8c, (q15_t)0x223, (q15_t)0xef98, (q15_t)0x220, (q15_t)0xefa4, + (q15_t)0x21d, (q15_t)0xefb0, (q15_t)0x21a, (q15_t)0xefbc, (q15_t)0x217, (q15_t)0xefc9, (q15_t)0x213, (q15_t)0xefd5, + (q15_t)0x210, (q15_t)0xefe1, (q15_t)0x20d, (q15_t)0xefed, (q15_t)0x20a, (q15_t)0xeff9, (q15_t)0x207, (q15_t)0xf005, + (q15_t)0x204, (q15_t)0xf012, (q15_t)0x201, (q15_t)0xf01e, (q15_t)0x1fd, (q15_t)0xf02a, (q15_t)0x1fa, (q15_t)0xf036, + (q15_t)0x1f7, (q15_t)0xf042, (q15_t)0x1f4, (q15_t)0xf04e, (q15_t)0x1f1, (q15_t)0xf05b, (q15_t)0x1ee, (q15_t)0xf067, + (q15_t)0x1eb, (q15_t)0xf073, (q15_t)0x1e8, (q15_t)0xf07f, (q15_t)0x1e5, (q15_t)0xf08b, (q15_t)0x1e2, (q15_t)0xf098, + (q15_t)0x1df, (q15_t)0xf0a4, (q15_t)0x1dc, (q15_t)0xf0b0, (q15_t)0x1d9, (q15_t)0xf0bc, (q15_t)0x1d6, (q15_t)0xf0c8, + (q15_t)0x1d3, (q15_t)0xf0d5, (q15_t)0x1d0, (q15_t)0xf0e1, (q15_t)0x1cd, (q15_t)0xf0ed, (q15_t)0x1ca, (q15_t)0xf0f9, + (q15_t)0x1c7, (q15_t)0xf105, (q15_t)0x1c4, (q15_t)0xf112, (q15_t)0x1c1, (q15_t)0xf11e, (q15_t)0x1be, (q15_t)0xf12a, + (q15_t)0x1bb, (q15_t)0xf136, (q15_t)0x1b8, (q15_t)0xf143, (q15_t)0x1b6, (q15_t)0xf14f, (q15_t)0x1b3, (q15_t)0xf15b, + (q15_t)0x1b0, (q15_t)0xf167, (q15_t)0x1ad, (q15_t)0xf174, (q15_t)0x1aa, (q15_t)0xf180, (q15_t)0x1a7, (q15_t)0xf18c, + (q15_t)0x1a4, (q15_t)0xf198, (q15_t)0x1a2, (q15_t)0xf1a4, (q15_t)0x19f, (q15_t)0xf1b1, (q15_t)0x19c, (q15_t)0xf1bd, + (q15_t)0x199, (q15_t)0xf1c9, (q15_t)0x196, (q15_t)0xf1d5, (q15_t)0x194, (q15_t)0xf1e2, (q15_t)0x191, (q15_t)0xf1ee, + (q15_t)0x18e, (q15_t)0xf1fa, (q15_t)0x18b, (q15_t)0xf207, (q15_t)0x189, (q15_t)0xf213, (q15_t)0x186, (q15_t)0xf21f, + (q15_t)0x183, (q15_t)0xf22b, (q15_t)0x180, (q15_t)0xf238, (q15_t)0x17e, (q15_t)0xf244, (q15_t)0x17b, (q15_t)0xf250, + (q15_t)0x178, (q15_t)0xf25c, (q15_t)0x176, (q15_t)0xf269, (q15_t)0x173, (q15_t)0xf275, (q15_t)0x170, (q15_t)0xf281, + (q15_t)0x16e, (q15_t)0xf28e, (q15_t)0x16b, (q15_t)0xf29a, (q15_t)0x168, (q15_t)0xf2a6, (q15_t)0x166, (q15_t)0xf2b2, + (q15_t)0x163, (q15_t)0xf2bf, (q15_t)0x161, (q15_t)0xf2cb, (q15_t)0x15e, (q15_t)0xf2d7, (q15_t)0x15b, (q15_t)0xf2e4, + (q15_t)0x159, (q15_t)0xf2f0, (q15_t)0x156, (q15_t)0xf2fc, (q15_t)0x154, (q15_t)0xf308, (q15_t)0x151, (q15_t)0xf315, + (q15_t)0x14f, (q15_t)0xf321, (q15_t)0x14c, (q15_t)0xf32d, (q15_t)0x14a, (q15_t)0xf33a, (q15_t)0x147, (q15_t)0xf346, + (q15_t)0x145, (q15_t)0xf352, (q15_t)0x142, (q15_t)0xf35f, (q15_t)0x140, (q15_t)0xf36b, (q15_t)0x13d, (q15_t)0xf377, + (q15_t)0x13b, (q15_t)0xf384, (q15_t)0x138, (q15_t)0xf390, (q15_t)0x136, (q15_t)0xf39c, (q15_t)0x134, (q15_t)0xf3a9, + (q15_t)0x131, (q15_t)0xf3b5, (q15_t)0x12f, (q15_t)0xf3c1, (q15_t)0x12c, (q15_t)0xf3ce, (q15_t)0x12a, (q15_t)0xf3da, + (q15_t)0x128, (q15_t)0xf3e6, (q15_t)0x125, (q15_t)0xf3f3, (q15_t)0x123, (q15_t)0xf3ff, (q15_t)0x120, (q15_t)0xf40b, + (q15_t)0x11e, (q15_t)0xf418, (q15_t)0x11c, (q15_t)0xf424, (q15_t)0x119, (q15_t)0xf430, (q15_t)0x117, (q15_t)0xf43d, + (q15_t)0x115, (q15_t)0xf449, (q15_t)0x113, (q15_t)0xf455, (q15_t)0x110, (q15_t)0xf462, (q15_t)0x10e, (q15_t)0xf46e, + (q15_t)0x10c, (q15_t)0xf47b, (q15_t)0x109, (q15_t)0xf487, (q15_t)0x107, (q15_t)0xf493, (q15_t)0x105, (q15_t)0xf4a0, + (q15_t)0x103, (q15_t)0xf4ac, (q15_t)0x100, (q15_t)0xf4b8, (q15_t)0xfe, (q15_t)0xf4c5, (q15_t)0xfc, (q15_t)0xf4d1, + (q15_t)0xfa, (q15_t)0xf4dd, (q15_t)0xf8, (q15_t)0xf4ea, (q15_t)0xf6, (q15_t)0xf4f6, (q15_t)0xf3, (q15_t)0xf503, + (q15_t)0xf1, (q15_t)0xf50f, (q15_t)0xef, (q15_t)0xf51b, (q15_t)0xed, (q15_t)0xf528, (q15_t)0xeb, (q15_t)0xf534, + (q15_t)0xe9, (q15_t)0xf540, (q15_t)0xe7, (q15_t)0xf54d, (q15_t)0xe4, (q15_t)0xf559, (q15_t)0xe2, (q15_t)0xf566, + (q15_t)0xe0, (q15_t)0xf572, (q15_t)0xde, (q15_t)0xf57e, (q15_t)0xdc, (q15_t)0xf58b, (q15_t)0xda, (q15_t)0xf597, + (q15_t)0xd8, (q15_t)0xf5a4, (q15_t)0xd6, (q15_t)0xf5b0, (q15_t)0xd4, (q15_t)0xf5bc, (q15_t)0xd2, (q15_t)0xf5c9, + (q15_t)0xd0, (q15_t)0xf5d5, (q15_t)0xce, (q15_t)0xf5e2, (q15_t)0xcc, (q15_t)0xf5ee, (q15_t)0xca, (q15_t)0xf5fa, + (q15_t)0xc8, (q15_t)0xf607, (q15_t)0xc6, (q15_t)0xf613, (q15_t)0xc4, (q15_t)0xf620, (q15_t)0xc2, (q15_t)0xf62c, + (q15_t)0xc0, (q15_t)0xf639, (q15_t)0xbe, (q15_t)0xf645, (q15_t)0xbd, (q15_t)0xf651, (q15_t)0xbb, (q15_t)0xf65e, + (q15_t)0xb9, (q15_t)0xf66a, (q15_t)0xb7, (q15_t)0xf677, (q15_t)0xb5, (q15_t)0xf683, (q15_t)0xb3, (q15_t)0xf690, + (q15_t)0xb1, (q15_t)0xf69c, (q15_t)0xaf, (q15_t)0xf6a8, (q15_t)0xae, (q15_t)0xf6b5, (q15_t)0xac, (q15_t)0xf6c1, + (q15_t)0xaa, (q15_t)0xf6ce, (q15_t)0xa8, (q15_t)0xf6da, (q15_t)0xa6, (q15_t)0xf6e7, (q15_t)0xa5, (q15_t)0xf6f3, + (q15_t)0xa3, (q15_t)0xf6ff, (q15_t)0xa1, (q15_t)0xf70c, (q15_t)0x9f, (q15_t)0xf718, (q15_t)0x9e, (q15_t)0xf725, + (q15_t)0x9c, (q15_t)0xf731, (q15_t)0x9a, (q15_t)0xf73e, (q15_t)0x98, (q15_t)0xf74a, (q15_t)0x97, (q15_t)0xf757, + (q15_t)0x95, (q15_t)0xf763, (q15_t)0x93, (q15_t)0xf76f, (q15_t)0x92, (q15_t)0xf77c, (q15_t)0x90, (q15_t)0xf788, + (q15_t)0x8e, (q15_t)0xf795, (q15_t)0x8d, (q15_t)0xf7a1, (q15_t)0x8b, (q15_t)0xf7ae, (q15_t)0x89, (q15_t)0xf7ba, + (q15_t)0x88, (q15_t)0xf7c7, (q15_t)0x86, (q15_t)0xf7d3, (q15_t)0x85, (q15_t)0xf7e0, (q15_t)0x83, (q15_t)0xf7ec, + (q15_t)0x81, (q15_t)0xf7f9, (q15_t)0x80, (q15_t)0xf805, (q15_t)0x7e, (q15_t)0xf811, (q15_t)0x7d, (q15_t)0xf81e, + (q15_t)0x7b, (q15_t)0xf82a, (q15_t)0x7a, (q15_t)0xf837, (q15_t)0x78, (q15_t)0xf843, (q15_t)0x77, (q15_t)0xf850, + (q15_t)0x75, (q15_t)0xf85c, (q15_t)0x74, (q15_t)0xf869, (q15_t)0x72, (q15_t)0xf875, (q15_t)0x71, (q15_t)0xf882, + (q15_t)0x6f, (q15_t)0xf88e, (q15_t)0x6e, (q15_t)0xf89b, (q15_t)0x6c, (q15_t)0xf8a7, (q15_t)0x6b, (q15_t)0xf8b4, + (q15_t)0x69, (q15_t)0xf8c0, (q15_t)0x68, (q15_t)0xf8cd, (q15_t)0x67, (q15_t)0xf8d9, (q15_t)0x65, (q15_t)0xf8e6, + (q15_t)0x64, (q15_t)0xf8f2, (q15_t)0x62, (q15_t)0xf8ff, (q15_t)0x61, (q15_t)0xf90b, (q15_t)0x60, (q15_t)0xf918, + (q15_t)0x5e, (q15_t)0xf924, (q15_t)0x5d, (q15_t)0xf931, (q15_t)0x5c, (q15_t)0xf93d, (q15_t)0x5a, (q15_t)0xf94a, + (q15_t)0x59, (q15_t)0xf956, (q15_t)0x58, (q15_t)0xf963, (q15_t)0x56, (q15_t)0xf96f, (q15_t)0x55, (q15_t)0xf97c, + (q15_t)0x54, (q15_t)0xf988, (q15_t)0x53, (q15_t)0xf995, (q15_t)0x51, (q15_t)0xf9a1, (q15_t)0x50, (q15_t)0xf9ae, + (q15_t)0x4f, (q15_t)0xf9ba, (q15_t)0x4e, (q15_t)0xf9c7, (q15_t)0x4c, (q15_t)0xf9d3, (q15_t)0x4b, (q15_t)0xf9e0, + (q15_t)0x4a, (q15_t)0xf9ec, (q15_t)0x49, (q15_t)0xf9f9, (q15_t)0x48, (q15_t)0xfa05, (q15_t)0x47, (q15_t)0xfa12, + (q15_t)0x45, (q15_t)0xfa1e, (q15_t)0x44, (q15_t)0xfa2b, (q15_t)0x43, (q15_t)0xfa37, (q15_t)0x42, (q15_t)0xfa44, + (q15_t)0x41, (q15_t)0xfa50, (q15_t)0x40, (q15_t)0xfa5d, (q15_t)0x3f, (q15_t)0xfa69, (q15_t)0x3d, (q15_t)0xfa76, + (q15_t)0x3c, (q15_t)0xfa82, (q15_t)0x3b, (q15_t)0xfa8f, (q15_t)0x3a, (q15_t)0xfa9b, (q15_t)0x39, (q15_t)0xfaa8, + (q15_t)0x38, (q15_t)0xfab4, (q15_t)0x37, (q15_t)0xfac1, (q15_t)0x36, (q15_t)0xfacd, (q15_t)0x35, (q15_t)0xfada, + (q15_t)0x34, (q15_t)0xfae6, (q15_t)0x33, (q15_t)0xfaf3, (q15_t)0x32, (q15_t)0xfb00, (q15_t)0x31, (q15_t)0xfb0c, + (q15_t)0x30, (q15_t)0xfb19, (q15_t)0x2f, (q15_t)0xfb25, (q15_t)0x2e, (q15_t)0xfb32, (q15_t)0x2d, (q15_t)0xfb3e, + (q15_t)0x2c, (q15_t)0xfb4b, (q15_t)0x2b, (q15_t)0xfb57, (q15_t)0x2b, (q15_t)0xfb64, (q15_t)0x2a, (q15_t)0xfb70, + (q15_t)0x29, (q15_t)0xfb7d, (q15_t)0x28, (q15_t)0xfb89, (q15_t)0x27, (q15_t)0xfb96, (q15_t)0x26, (q15_t)0xfba2, + (q15_t)0x25, (q15_t)0xfbaf, (q15_t)0x24, (q15_t)0xfbbc, (q15_t)0x24, (q15_t)0xfbc8, (q15_t)0x23, (q15_t)0xfbd5, + (q15_t)0x22, (q15_t)0xfbe1, (q15_t)0x21, (q15_t)0xfbee, (q15_t)0x20, (q15_t)0xfbfa, (q15_t)0x20, (q15_t)0xfc07, + (q15_t)0x1f, (q15_t)0xfc13, (q15_t)0x1e, (q15_t)0xfc20, (q15_t)0x1d, (q15_t)0xfc2c, (q15_t)0x1d, (q15_t)0xfc39, + (q15_t)0x1c, (q15_t)0xfc45, (q15_t)0x1b, (q15_t)0xfc52, (q15_t)0x1a, (q15_t)0xfc5f, (q15_t)0x1a, (q15_t)0xfc6b, + (q15_t)0x19, (q15_t)0xfc78, (q15_t)0x18, (q15_t)0xfc84, (q15_t)0x18, (q15_t)0xfc91, (q15_t)0x17, (q15_t)0xfc9d, + (q15_t)0x16, (q15_t)0xfcaa, (q15_t)0x16, (q15_t)0xfcb6, (q15_t)0x15, (q15_t)0xfcc3, (q15_t)0x14, (q15_t)0xfcd0, + (q15_t)0x14, (q15_t)0xfcdc, (q15_t)0x13, (q15_t)0xfce9, (q15_t)0x13, (q15_t)0xfcf5, (q15_t)0x12, (q15_t)0xfd02, + (q15_t)0x11, (q15_t)0xfd0e, (q15_t)0x11, (q15_t)0xfd1b, (q15_t)0x10, (q15_t)0xfd27, (q15_t)0x10, (q15_t)0xfd34, + (q15_t)0xf, (q15_t)0xfd40, (q15_t)0xf, (q15_t)0xfd4d, (q15_t)0xe, (q15_t)0xfd5a, (q15_t)0xe, (q15_t)0xfd66, + (q15_t)0xd, (q15_t)0xfd73, (q15_t)0xd, (q15_t)0xfd7f, (q15_t)0xc, (q15_t)0xfd8c, (q15_t)0xc, (q15_t)0xfd98, + (q15_t)0xb, (q15_t)0xfda5, (q15_t)0xb, (q15_t)0xfdb2, (q15_t)0xa, (q15_t)0xfdbe, (q15_t)0xa, (q15_t)0xfdcb, + (q15_t)0x9, (q15_t)0xfdd7, (q15_t)0x9, (q15_t)0xfde4, (q15_t)0x9, (q15_t)0xfdf0, (q15_t)0x8, (q15_t)0xfdfd, + (q15_t)0x8, (q15_t)0xfe09, (q15_t)0x7, (q15_t)0xfe16, (q15_t)0x7, (q15_t)0xfe23, (q15_t)0x7, (q15_t)0xfe2f, + (q15_t)0x6, (q15_t)0xfe3c, (q15_t)0x6, (q15_t)0xfe48, (q15_t)0x6, (q15_t)0xfe55, (q15_t)0x5, (q15_t)0xfe61, + (q15_t)0x5, (q15_t)0xfe6e, (q15_t)0x5, (q15_t)0xfe7a, (q15_t)0x4, (q15_t)0xfe87, (q15_t)0x4, (q15_t)0xfe94, + (q15_t)0x4, (q15_t)0xfea0, (q15_t)0x4, (q15_t)0xfead, (q15_t)0x3, (q15_t)0xfeb9, (q15_t)0x3, (q15_t)0xfec6, + (q15_t)0x3, (q15_t)0xfed2, (q15_t)0x3, (q15_t)0xfedf, (q15_t)0x2, (q15_t)0xfeec, (q15_t)0x2, (q15_t)0xfef8, + (q15_t)0x2, (q15_t)0xff05, (q15_t)0x2, (q15_t)0xff11, (q15_t)0x2, (q15_t)0xff1e, (q15_t)0x1, (q15_t)0xff2a, + (q15_t)0x1, (q15_t)0xff37, (q15_t)0x1, (q15_t)0xff44, (q15_t)0x1, (q15_t)0xff50, (q15_t)0x1, (q15_t)0xff5d, + (q15_t)0x1, (q15_t)0xff69, (q15_t)0x1, (q15_t)0xff76, (q15_t)0x0, (q15_t)0xff82, (q15_t)0x0, (q15_t)0xff8f, + (q15_t)0x0, (q15_t)0xff9b, (q15_t)0x0, (q15_t)0xffa8, (q15_t)0x0, (q15_t)0xffb5, (q15_t)0x0, (q15_t)0xffc1, + (q15_t)0x0, (q15_t)0xffce, (q15_t)0x0, (q15_t)0xffda, (q15_t)0x0, (q15_t)0xffe7, (q15_t)0x0, (q15_t)0xfff3, + (q15_t)0x0, (q15_t)0x0, (q15_t)0x0, (q15_t)0xd, (q15_t)0x0, (q15_t)0x19, (q15_t)0x0, (q15_t)0x26, + (q15_t)0x0, (q15_t)0x32, (q15_t)0x0, (q15_t)0x3f, (q15_t)0x0, (q15_t)0x4b, (q15_t)0x0, (q15_t)0x58, + (q15_t)0x0, (q15_t)0x65, (q15_t)0x0, (q15_t)0x71, (q15_t)0x0, (q15_t)0x7e, (q15_t)0x1, (q15_t)0x8a, + (q15_t)0x1, (q15_t)0x97, (q15_t)0x1, (q15_t)0xa3, (q15_t)0x1, (q15_t)0xb0, (q15_t)0x1, (q15_t)0xbc, + (q15_t)0x1, (q15_t)0xc9, (q15_t)0x1, (q15_t)0xd6, (q15_t)0x2, (q15_t)0xe2, (q15_t)0x2, (q15_t)0xef, + (q15_t)0x2, (q15_t)0xfb, (q15_t)0x2, (q15_t)0x108, (q15_t)0x2, (q15_t)0x114, (q15_t)0x3, (q15_t)0x121, + (q15_t)0x3, (q15_t)0x12e, (q15_t)0x3, (q15_t)0x13a, (q15_t)0x3, (q15_t)0x147, (q15_t)0x4, (q15_t)0x153, + (q15_t)0x4, (q15_t)0x160, (q15_t)0x4, (q15_t)0x16c, (q15_t)0x4, (q15_t)0x179, (q15_t)0x5, (q15_t)0x186, + (q15_t)0x5, (q15_t)0x192, (q15_t)0x5, (q15_t)0x19f, (q15_t)0x6, (q15_t)0x1ab, (q15_t)0x6, (q15_t)0x1b8, + (q15_t)0x6, (q15_t)0x1c4, (q15_t)0x7, (q15_t)0x1d1, (q15_t)0x7, (q15_t)0x1dd, (q15_t)0x7, (q15_t)0x1ea, + (q15_t)0x8, (q15_t)0x1f7, (q15_t)0x8, (q15_t)0x203, (q15_t)0x9, (q15_t)0x210, (q15_t)0x9, (q15_t)0x21c, + (q15_t)0x9, (q15_t)0x229, (q15_t)0xa, (q15_t)0x235, (q15_t)0xa, (q15_t)0x242, (q15_t)0xb, (q15_t)0x24e, + (q15_t)0xb, (q15_t)0x25b, (q15_t)0xc, (q15_t)0x268, (q15_t)0xc, (q15_t)0x274, (q15_t)0xd, (q15_t)0x281, + (q15_t)0xd, (q15_t)0x28d, (q15_t)0xe, (q15_t)0x29a, (q15_t)0xe, (q15_t)0x2a6, (q15_t)0xf, (q15_t)0x2b3, + (q15_t)0xf, (q15_t)0x2c0, (q15_t)0x10, (q15_t)0x2cc, (q15_t)0x10, (q15_t)0x2d9, (q15_t)0x11, (q15_t)0x2e5, + (q15_t)0x11, (q15_t)0x2f2, (q15_t)0x12, (q15_t)0x2fe, (q15_t)0x13, (q15_t)0x30b, (q15_t)0x13, (q15_t)0x317, + (q15_t)0x14, (q15_t)0x324, (q15_t)0x14, (q15_t)0x330, (q15_t)0x15, (q15_t)0x33d, (q15_t)0x16, (q15_t)0x34a, + (q15_t)0x16, (q15_t)0x356, (q15_t)0x17, (q15_t)0x363, (q15_t)0x18, (q15_t)0x36f, (q15_t)0x18, (q15_t)0x37c, + (q15_t)0x19, (q15_t)0x388, (q15_t)0x1a, (q15_t)0x395, (q15_t)0x1a, (q15_t)0x3a1, (q15_t)0x1b, (q15_t)0x3ae, + (q15_t)0x1c, (q15_t)0x3bb, (q15_t)0x1d, (q15_t)0x3c7, (q15_t)0x1d, (q15_t)0x3d4, (q15_t)0x1e, (q15_t)0x3e0, + (q15_t)0x1f, (q15_t)0x3ed, (q15_t)0x20, (q15_t)0x3f9, (q15_t)0x20, (q15_t)0x406, (q15_t)0x21, (q15_t)0x412, + (q15_t)0x22, (q15_t)0x41f, (q15_t)0x23, (q15_t)0x42b, (q15_t)0x24, (q15_t)0x438, (q15_t)0x24, (q15_t)0x444, + (q15_t)0x25, (q15_t)0x451, (q15_t)0x26, (q15_t)0x45e, (q15_t)0x27, (q15_t)0x46a, (q15_t)0x28, (q15_t)0x477, + (q15_t)0x29, (q15_t)0x483, (q15_t)0x2a, (q15_t)0x490, (q15_t)0x2b, (q15_t)0x49c, (q15_t)0x2b, (q15_t)0x4a9, + (q15_t)0x2c, (q15_t)0x4b5, (q15_t)0x2d, (q15_t)0x4c2, (q15_t)0x2e, (q15_t)0x4ce, (q15_t)0x2f, (q15_t)0x4db, + (q15_t)0x30, (q15_t)0x4e7, (q15_t)0x31, (q15_t)0x4f4, (q15_t)0x32, (q15_t)0x500, (q15_t)0x33, (q15_t)0x50d, + (q15_t)0x34, (q15_t)0x51a, (q15_t)0x35, (q15_t)0x526, (q15_t)0x36, (q15_t)0x533, (q15_t)0x37, (q15_t)0x53f, + (q15_t)0x38, (q15_t)0x54c, (q15_t)0x39, (q15_t)0x558, (q15_t)0x3a, (q15_t)0x565, (q15_t)0x3b, (q15_t)0x571, + (q15_t)0x3c, (q15_t)0x57e, (q15_t)0x3d, (q15_t)0x58a, (q15_t)0x3f, (q15_t)0x597, (q15_t)0x40, (q15_t)0x5a3, + (q15_t)0x41, (q15_t)0x5b0, (q15_t)0x42, (q15_t)0x5bc, (q15_t)0x43, (q15_t)0x5c9, (q15_t)0x44, (q15_t)0x5d5, + (q15_t)0x45, (q15_t)0x5e2, (q15_t)0x47, (q15_t)0x5ee, (q15_t)0x48, (q15_t)0x5fb, (q15_t)0x49, (q15_t)0x607, + (q15_t)0x4a, (q15_t)0x614, (q15_t)0x4b, (q15_t)0x620, (q15_t)0x4c, (q15_t)0x62d, (q15_t)0x4e, (q15_t)0x639, + (q15_t)0x4f, (q15_t)0x646, (q15_t)0x50, (q15_t)0x652, (q15_t)0x51, (q15_t)0x65f, (q15_t)0x53, (q15_t)0x66b, + (q15_t)0x54, (q15_t)0x678, (q15_t)0x55, (q15_t)0x684, (q15_t)0x56, (q15_t)0x691, (q15_t)0x58, (q15_t)0x69d, + (q15_t)0x59, (q15_t)0x6aa, (q15_t)0x5a, (q15_t)0x6b6, (q15_t)0x5c, (q15_t)0x6c3, (q15_t)0x5d, (q15_t)0x6cf, + (q15_t)0x5e, (q15_t)0x6dc, (q15_t)0x60, (q15_t)0x6e8, (q15_t)0x61, (q15_t)0x6f5, (q15_t)0x62, (q15_t)0x701, + (q15_t)0x64, (q15_t)0x70e, (q15_t)0x65, (q15_t)0x71a, (q15_t)0x67, (q15_t)0x727, (q15_t)0x68, (q15_t)0x733, + (q15_t)0x69, (q15_t)0x740, (q15_t)0x6b, (q15_t)0x74c, (q15_t)0x6c, (q15_t)0x759, (q15_t)0x6e, (q15_t)0x765, + (q15_t)0x6f, (q15_t)0x772, (q15_t)0x71, (q15_t)0x77e, (q15_t)0x72, (q15_t)0x78b, (q15_t)0x74, (q15_t)0x797, + (q15_t)0x75, (q15_t)0x7a4, (q15_t)0x77, (q15_t)0x7b0, (q15_t)0x78, (q15_t)0x7bd, (q15_t)0x7a, (q15_t)0x7c9, + (q15_t)0x7b, (q15_t)0x7d6, (q15_t)0x7d, (q15_t)0x7e2, (q15_t)0x7e, (q15_t)0x7ef, (q15_t)0x80, (q15_t)0x7fb, + (q15_t)0x81, (q15_t)0x807, (q15_t)0x83, (q15_t)0x814, (q15_t)0x85, (q15_t)0x820, (q15_t)0x86, (q15_t)0x82d, + (q15_t)0x88, (q15_t)0x839, (q15_t)0x89, (q15_t)0x846, (q15_t)0x8b, (q15_t)0x852, (q15_t)0x8d, (q15_t)0x85f, + (q15_t)0x8e, (q15_t)0x86b, (q15_t)0x90, (q15_t)0x878, (q15_t)0x92, (q15_t)0x884, (q15_t)0x93, (q15_t)0x891, + (q15_t)0x95, (q15_t)0x89d, (q15_t)0x97, (q15_t)0x8a9, (q15_t)0x98, (q15_t)0x8b6, (q15_t)0x9a, (q15_t)0x8c2, + (q15_t)0x9c, (q15_t)0x8cf, (q15_t)0x9e, (q15_t)0x8db, (q15_t)0x9f, (q15_t)0x8e8, (q15_t)0xa1, (q15_t)0x8f4, + (q15_t)0xa3, (q15_t)0x901, (q15_t)0xa5, (q15_t)0x90d, (q15_t)0xa6, (q15_t)0x919, (q15_t)0xa8, (q15_t)0x926, + (q15_t)0xaa, (q15_t)0x932, (q15_t)0xac, (q15_t)0x93f, (q15_t)0xae, (q15_t)0x94b, (q15_t)0xaf, (q15_t)0x958, + (q15_t)0xb1, (q15_t)0x964, (q15_t)0xb3, (q15_t)0x970, (q15_t)0xb5, (q15_t)0x97d, (q15_t)0xb7, (q15_t)0x989, + (q15_t)0xb9, (q15_t)0x996, (q15_t)0xbb, (q15_t)0x9a2, (q15_t)0xbd, (q15_t)0x9af, (q15_t)0xbe, (q15_t)0x9bb, + (q15_t)0xc0, (q15_t)0x9c7, (q15_t)0xc2, (q15_t)0x9d4, (q15_t)0xc4, (q15_t)0x9e0, (q15_t)0xc6, (q15_t)0x9ed, + (q15_t)0xc8, (q15_t)0x9f9, (q15_t)0xca, (q15_t)0xa06, (q15_t)0xcc, (q15_t)0xa12, (q15_t)0xce, (q15_t)0xa1e, + (q15_t)0xd0, (q15_t)0xa2b, (q15_t)0xd2, (q15_t)0xa37, (q15_t)0xd4, (q15_t)0xa44, (q15_t)0xd6, (q15_t)0xa50, + (q15_t)0xd8, (q15_t)0xa5c, (q15_t)0xda, (q15_t)0xa69, (q15_t)0xdc, (q15_t)0xa75, (q15_t)0xde, (q15_t)0xa82, + (q15_t)0xe0, (q15_t)0xa8e, (q15_t)0xe2, (q15_t)0xa9a, (q15_t)0xe4, (q15_t)0xaa7, (q15_t)0xe7, (q15_t)0xab3, + (q15_t)0xe9, (q15_t)0xac0, (q15_t)0xeb, (q15_t)0xacc, (q15_t)0xed, (q15_t)0xad8, (q15_t)0xef, (q15_t)0xae5, + (q15_t)0xf1, (q15_t)0xaf1, (q15_t)0xf3, (q15_t)0xafd, (q15_t)0xf6, (q15_t)0xb0a, (q15_t)0xf8, (q15_t)0xb16, + (q15_t)0xfa, (q15_t)0xb23, (q15_t)0xfc, (q15_t)0xb2f, (q15_t)0xfe, (q15_t)0xb3b, (q15_t)0x100, (q15_t)0xb48, + (q15_t)0x103, (q15_t)0xb54, (q15_t)0x105, (q15_t)0xb60, (q15_t)0x107, (q15_t)0xb6d, (q15_t)0x109, (q15_t)0xb79, + (q15_t)0x10c, (q15_t)0xb85, (q15_t)0x10e, (q15_t)0xb92, (q15_t)0x110, (q15_t)0xb9e, (q15_t)0x113, (q15_t)0xbab, + (q15_t)0x115, (q15_t)0xbb7, (q15_t)0x117, (q15_t)0xbc3, (q15_t)0x119, (q15_t)0xbd0, (q15_t)0x11c, (q15_t)0xbdc, + (q15_t)0x11e, (q15_t)0xbe8, (q15_t)0x120, (q15_t)0xbf5, (q15_t)0x123, (q15_t)0xc01, (q15_t)0x125, (q15_t)0xc0d, + (q15_t)0x128, (q15_t)0xc1a, (q15_t)0x12a, (q15_t)0xc26, (q15_t)0x12c, (q15_t)0xc32, (q15_t)0x12f, (q15_t)0xc3f, + (q15_t)0x131, (q15_t)0xc4b, (q15_t)0x134, (q15_t)0xc57, (q15_t)0x136, (q15_t)0xc64, (q15_t)0x138, (q15_t)0xc70, + (q15_t)0x13b, (q15_t)0xc7c, (q15_t)0x13d, (q15_t)0xc89, (q15_t)0x140, (q15_t)0xc95, (q15_t)0x142, (q15_t)0xca1, + (q15_t)0x145, (q15_t)0xcae, (q15_t)0x147, (q15_t)0xcba, (q15_t)0x14a, (q15_t)0xcc6, (q15_t)0x14c, (q15_t)0xcd3, + (q15_t)0x14f, (q15_t)0xcdf, (q15_t)0x151, (q15_t)0xceb, (q15_t)0x154, (q15_t)0xcf8, (q15_t)0x156, (q15_t)0xd04, + (q15_t)0x159, (q15_t)0xd10, (q15_t)0x15b, (q15_t)0xd1c, (q15_t)0x15e, (q15_t)0xd29, (q15_t)0x161, (q15_t)0xd35, + (q15_t)0x163, (q15_t)0xd41, (q15_t)0x166, (q15_t)0xd4e, (q15_t)0x168, (q15_t)0xd5a, (q15_t)0x16b, (q15_t)0xd66, + (q15_t)0x16e, (q15_t)0xd72, (q15_t)0x170, (q15_t)0xd7f, (q15_t)0x173, (q15_t)0xd8b, (q15_t)0x176, (q15_t)0xd97, + (q15_t)0x178, (q15_t)0xda4, (q15_t)0x17b, (q15_t)0xdb0, (q15_t)0x17e, (q15_t)0xdbc, (q15_t)0x180, (q15_t)0xdc8, + (q15_t)0x183, (q15_t)0xdd5, (q15_t)0x186, (q15_t)0xde1, (q15_t)0x189, (q15_t)0xded, (q15_t)0x18b, (q15_t)0xdf9, + (q15_t)0x18e, (q15_t)0xe06, (q15_t)0x191, (q15_t)0xe12, (q15_t)0x194, (q15_t)0xe1e, (q15_t)0x196, (q15_t)0xe2b, + (q15_t)0x199, (q15_t)0xe37, (q15_t)0x19c, (q15_t)0xe43, (q15_t)0x19f, (q15_t)0xe4f, (q15_t)0x1a2, (q15_t)0xe5c, + (q15_t)0x1a4, (q15_t)0xe68, (q15_t)0x1a7, (q15_t)0xe74, (q15_t)0x1aa, (q15_t)0xe80, (q15_t)0x1ad, (q15_t)0xe8c, + (q15_t)0x1b0, (q15_t)0xe99, (q15_t)0x1b3, (q15_t)0xea5, (q15_t)0x1b6, (q15_t)0xeb1, (q15_t)0x1b8, (q15_t)0xebd, + (q15_t)0x1bb, (q15_t)0xeca, (q15_t)0x1be, (q15_t)0xed6, (q15_t)0x1c1, (q15_t)0xee2, (q15_t)0x1c4, (q15_t)0xeee, + (q15_t)0x1c7, (q15_t)0xefb, (q15_t)0x1ca, (q15_t)0xf07, (q15_t)0x1cd, (q15_t)0xf13, (q15_t)0x1d0, (q15_t)0xf1f, + (q15_t)0x1d3, (q15_t)0xf2b, (q15_t)0x1d6, (q15_t)0xf38, (q15_t)0x1d9, (q15_t)0xf44, (q15_t)0x1dc, (q15_t)0xf50, + (q15_t)0x1df, (q15_t)0xf5c, (q15_t)0x1e2, (q15_t)0xf68, (q15_t)0x1e5, (q15_t)0xf75, (q15_t)0x1e8, (q15_t)0xf81, + (q15_t)0x1eb, (q15_t)0xf8d, (q15_t)0x1ee, (q15_t)0xf99, (q15_t)0x1f1, (q15_t)0xfa5, (q15_t)0x1f4, (q15_t)0xfb2, + (q15_t)0x1f7, (q15_t)0xfbe, (q15_t)0x1fa, (q15_t)0xfca, (q15_t)0x1fd, (q15_t)0xfd6, (q15_t)0x201, (q15_t)0xfe2, + (q15_t)0x204, (q15_t)0xfee, (q15_t)0x207, (q15_t)0xffb, (q15_t)0x20a, (q15_t)0x1007, (q15_t)0x20d, (q15_t)0x1013, + (q15_t)0x210, (q15_t)0x101f, (q15_t)0x213, (q15_t)0x102b, (q15_t)0x217, (q15_t)0x1037, (q15_t)0x21a, (q15_t)0x1044, + (q15_t)0x21d, (q15_t)0x1050, (q15_t)0x220, (q15_t)0x105c, (q15_t)0x223, (q15_t)0x1068, (q15_t)0x227, (q15_t)0x1074, + (q15_t)0x22a, (q15_t)0x1080, (q15_t)0x22d, (q15_t)0x108c, (q15_t)0x230, (q15_t)0x1099, (q15_t)0x234, (q15_t)0x10a5, + (q15_t)0x237, (q15_t)0x10b1, (q15_t)0x23a, (q15_t)0x10bd, (q15_t)0x23e, (q15_t)0x10c9, (q15_t)0x241, (q15_t)0x10d5, + (q15_t)0x244, (q15_t)0x10e1, (q15_t)0x247, (q15_t)0x10ed, (q15_t)0x24b, (q15_t)0x10fa, (q15_t)0x24e, (q15_t)0x1106, + (q15_t)0x251, (q15_t)0x1112, (q15_t)0x255, (q15_t)0x111e, (q15_t)0x258, (q15_t)0x112a, (q15_t)0x25c, (q15_t)0x1136, + (q15_t)0x25f, (q15_t)0x1142, (q15_t)0x262, (q15_t)0x114e, (q15_t)0x266, (q15_t)0x115a, (q15_t)0x269, (q15_t)0x1167, + (q15_t)0x26d, (q15_t)0x1173, (q15_t)0x270, (q15_t)0x117f, (q15_t)0x273, (q15_t)0x118b, (q15_t)0x277, (q15_t)0x1197, + (q15_t)0x27a, (q15_t)0x11a3, (q15_t)0x27e, (q15_t)0x11af, (q15_t)0x281, (q15_t)0x11bb, (q15_t)0x285, (q15_t)0x11c7, + (q15_t)0x288, (q15_t)0x11d3, (q15_t)0x28c, (q15_t)0x11df, (q15_t)0x28f, (q15_t)0x11eb, (q15_t)0x293, (q15_t)0x11f7, + (q15_t)0x296, (q15_t)0x1204, (q15_t)0x29a, (q15_t)0x1210, (q15_t)0x29d, (q15_t)0x121c, (q15_t)0x2a1, (q15_t)0x1228, + (q15_t)0x2a5, (q15_t)0x1234, (q15_t)0x2a8, (q15_t)0x1240, (q15_t)0x2ac, (q15_t)0x124c, (q15_t)0x2af, (q15_t)0x1258, + (q15_t)0x2b3, (q15_t)0x1264, (q15_t)0x2b7, (q15_t)0x1270, (q15_t)0x2ba, (q15_t)0x127c, (q15_t)0x2be, (q15_t)0x1288, + (q15_t)0x2c1, (q15_t)0x1294, (q15_t)0x2c5, (q15_t)0x12a0, (q15_t)0x2c9, (q15_t)0x12ac, (q15_t)0x2cc, (q15_t)0x12b8, + (q15_t)0x2d0, (q15_t)0x12c4, (q15_t)0x2d4, (q15_t)0x12d0, (q15_t)0x2d8, (q15_t)0x12dc, (q15_t)0x2db, (q15_t)0x12e8, + (q15_t)0x2df, (q15_t)0x12f4, (q15_t)0x2e3, (q15_t)0x1300, (q15_t)0x2e6, (q15_t)0x130c, (q15_t)0x2ea, (q15_t)0x1318, + (q15_t)0x2ee, (q15_t)0x1324, (q15_t)0x2f2, (q15_t)0x1330, (q15_t)0x2f5, (q15_t)0x133c, (q15_t)0x2f9, (q15_t)0x1348, + (q15_t)0x2fd, (q15_t)0x1354, (q15_t)0x301, (q15_t)0x1360, (q15_t)0x305, (q15_t)0x136c, (q15_t)0x308, (q15_t)0x1378, + (q15_t)0x30c, (q15_t)0x1384, (q15_t)0x310, (q15_t)0x1390, (q15_t)0x314, (q15_t)0x139c, (q15_t)0x318, (q15_t)0x13a8, + (q15_t)0x31c, (q15_t)0x13b4, (q15_t)0x320, (q15_t)0x13c0, (q15_t)0x323, (q15_t)0x13cc, (q15_t)0x327, (q15_t)0x13d8, + (q15_t)0x32b, (q15_t)0x13e4, (q15_t)0x32f, (q15_t)0x13f0, (q15_t)0x333, (q15_t)0x13fb, (q15_t)0x337, (q15_t)0x1407, + (q15_t)0x33b, (q15_t)0x1413, (q15_t)0x33f, (q15_t)0x141f, (q15_t)0x343, (q15_t)0x142b, (q15_t)0x347, (q15_t)0x1437, + (q15_t)0x34b, (q15_t)0x1443, (q15_t)0x34f, (q15_t)0x144f, (q15_t)0x353, (q15_t)0x145b, (q15_t)0x357, (q15_t)0x1467, + (q15_t)0x35b, (q15_t)0x1473, (q15_t)0x35f, (q15_t)0x147f, (q15_t)0x363, (q15_t)0x148b, (q15_t)0x367, (q15_t)0x1496, + (q15_t)0x36b, (q15_t)0x14a2, (q15_t)0x36f, (q15_t)0x14ae, (q15_t)0x373, (q15_t)0x14ba, (q15_t)0x377, (q15_t)0x14c6, + (q15_t)0x37b, (q15_t)0x14d2, (q15_t)0x37f, (q15_t)0x14de, (q15_t)0x383, (q15_t)0x14ea, (q15_t)0x387, (q15_t)0x14f6, + (q15_t)0x38c, (q15_t)0x1501, (q15_t)0x390, (q15_t)0x150d, (q15_t)0x394, (q15_t)0x1519, (q15_t)0x398, (q15_t)0x1525, + (q15_t)0x39c, (q15_t)0x1531, (q15_t)0x3a0, (q15_t)0x153d, (q15_t)0x3a5, (q15_t)0x1549, (q15_t)0x3a9, (q15_t)0x1554, + (q15_t)0x3ad, (q15_t)0x1560, (q15_t)0x3b1, (q15_t)0x156c, (q15_t)0x3b5, (q15_t)0x1578, (q15_t)0x3ba, (q15_t)0x1584, + (q15_t)0x3be, (q15_t)0x1590, (q15_t)0x3c2, (q15_t)0x159b, (q15_t)0x3c6, (q15_t)0x15a7, (q15_t)0x3ca, (q15_t)0x15b3, + (q15_t)0x3cf, (q15_t)0x15bf, (q15_t)0x3d3, (q15_t)0x15cb, (q15_t)0x3d7, (q15_t)0x15d7, (q15_t)0x3dc, (q15_t)0x15e2, + (q15_t)0x3e0, (q15_t)0x15ee, (q15_t)0x3e4, (q15_t)0x15fa, (q15_t)0x3e9, (q15_t)0x1606, (q15_t)0x3ed, (q15_t)0x1612, + (q15_t)0x3f1, (q15_t)0x161d, (q15_t)0x3f6, (q15_t)0x1629, (q15_t)0x3fa, (q15_t)0x1635, (q15_t)0x3fe, (q15_t)0x1641, + (q15_t)0x403, (q15_t)0x164c, (q15_t)0x407, (q15_t)0x1658, (q15_t)0x40b, (q15_t)0x1664, (q15_t)0x410, (q15_t)0x1670, + (q15_t)0x414, (q15_t)0x167c, (q15_t)0x419, (q15_t)0x1687, (q15_t)0x41d, (q15_t)0x1693, (q15_t)0x422, (q15_t)0x169f, + (q15_t)0x426, (q15_t)0x16ab, (q15_t)0x42a, (q15_t)0x16b6, (q15_t)0x42f, (q15_t)0x16c2, (q15_t)0x433, (q15_t)0x16ce, + (q15_t)0x438, (q15_t)0x16da, (q15_t)0x43c, (q15_t)0x16e5, (q15_t)0x441, (q15_t)0x16f1, (q15_t)0x445, (q15_t)0x16fd, + (q15_t)0x44a, (q15_t)0x1709, (q15_t)0x44e, (q15_t)0x1714, (q15_t)0x453, (q15_t)0x1720, (q15_t)0x457, (q15_t)0x172c, + (q15_t)0x45c, (q15_t)0x1737, (q15_t)0x461, (q15_t)0x1743, (q15_t)0x465, (q15_t)0x174f, (q15_t)0x46a, (q15_t)0x175b, + (q15_t)0x46e, (q15_t)0x1766, (q15_t)0x473, (q15_t)0x1772, (q15_t)0x478, (q15_t)0x177e, (q15_t)0x47c, (q15_t)0x1789, + (q15_t)0x481, (q15_t)0x1795, (q15_t)0x485, (q15_t)0x17a1, (q15_t)0x48a, (q15_t)0x17ac, (q15_t)0x48f, (q15_t)0x17b8, + (q15_t)0x493, (q15_t)0x17c4, (q15_t)0x498, (q15_t)0x17cf, (q15_t)0x49d, (q15_t)0x17db, (q15_t)0x4a1, (q15_t)0x17e7, + (q15_t)0x4a6, (q15_t)0x17f2, (q15_t)0x4ab, (q15_t)0x17fe, (q15_t)0x4b0, (q15_t)0x180a, (q15_t)0x4b4, (q15_t)0x1815, + (q15_t)0x4b9, (q15_t)0x1821, (q15_t)0x4be, (q15_t)0x182d, (q15_t)0x4c2, (q15_t)0x1838, (q15_t)0x4c7, (q15_t)0x1844, + (q15_t)0x4cc, (q15_t)0x184f, (q15_t)0x4d1, (q15_t)0x185b, (q15_t)0x4d6, (q15_t)0x1867, (q15_t)0x4da, (q15_t)0x1872, + (q15_t)0x4df, (q15_t)0x187e, (q15_t)0x4e4, (q15_t)0x1889, (q15_t)0x4e9, (q15_t)0x1895, (q15_t)0x4ee, (q15_t)0x18a1, + (q15_t)0x4f2, (q15_t)0x18ac, (q15_t)0x4f7, (q15_t)0x18b8, (q15_t)0x4fc, (q15_t)0x18c3, (q15_t)0x501, (q15_t)0x18cf, + (q15_t)0x506, (q15_t)0x18db, (q15_t)0x50b, (q15_t)0x18e6, (q15_t)0x510, (q15_t)0x18f2, (q15_t)0x515, (q15_t)0x18fd, + (q15_t)0x51a, (q15_t)0x1909, (q15_t)0x51e, (q15_t)0x1914, (q15_t)0x523, (q15_t)0x1920, (q15_t)0x528, (q15_t)0x192c, + (q15_t)0x52d, (q15_t)0x1937, (q15_t)0x532, (q15_t)0x1943, (q15_t)0x537, (q15_t)0x194e, (q15_t)0x53c, (q15_t)0x195a, + (q15_t)0x541, (q15_t)0x1965, (q15_t)0x546, (q15_t)0x1971, (q15_t)0x54b, (q15_t)0x197c, (q15_t)0x550, (q15_t)0x1988, + (q15_t)0x555, (q15_t)0x1993, (q15_t)0x55a, (q15_t)0x199f, (q15_t)0x55f, (q15_t)0x19aa, (q15_t)0x564, (q15_t)0x19b6, + (q15_t)0x569, (q15_t)0x19c1, (q15_t)0x56e, (q15_t)0x19cd, (q15_t)0x573, (q15_t)0x19d8, (q15_t)0x578, (q15_t)0x19e4, + (q15_t)0x57e, (q15_t)0x19ef, (q15_t)0x583, (q15_t)0x19fb, (q15_t)0x588, (q15_t)0x1a06, (q15_t)0x58d, (q15_t)0x1a12, + (q15_t)0x592, (q15_t)0x1a1d, (q15_t)0x597, (q15_t)0x1a29, (q15_t)0x59c, (q15_t)0x1a34, (q15_t)0x5a1, (q15_t)0x1a40, + (q15_t)0x5a7, (q15_t)0x1a4b, (q15_t)0x5ac, (q15_t)0x1a57, (q15_t)0x5b1, (q15_t)0x1a62, (q15_t)0x5b6, (q15_t)0x1a6e, + (q15_t)0x5bb, (q15_t)0x1a79, (q15_t)0x5c1, (q15_t)0x1a84, (q15_t)0x5c6, (q15_t)0x1a90, (q15_t)0x5cb, (q15_t)0x1a9b, + (q15_t)0x5d0, (q15_t)0x1aa7, (q15_t)0x5d5, (q15_t)0x1ab2, (q15_t)0x5db, (q15_t)0x1abe, (q15_t)0x5e0, (q15_t)0x1ac9, + (q15_t)0x5e5, (q15_t)0x1ad4, (q15_t)0x5ea, (q15_t)0x1ae0, (q15_t)0x5f0, (q15_t)0x1aeb, (q15_t)0x5f5, (q15_t)0x1af7, + (q15_t)0x5fa, (q15_t)0x1b02, (q15_t)0x600, (q15_t)0x1b0d, (q15_t)0x605, (q15_t)0x1b19, (q15_t)0x60a, (q15_t)0x1b24, + (q15_t)0x610, (q15_t)0x1b30, (q15_t)0x615, (q15_t)0x1b3b, (q15_t)0x61a, (q15_t)0x1b46, (q15_t)0x620, (q15_t)0x1b52, + (q15_t)0x625, (q15_t)0x1b5d, (q15_t)0x62a, (q15_t)0x1b68, (q15_t)0x630, (q15_t)0x1b74, (q15_t)0x635, (q15_t)0x1b7f, + (q15_t)0x63b, (q15_t)0x1b8a, (q15_t)0x640, (q15_t)0x1b96, (q15_t)0x645, (q15_t)0x1ba1, (q15_t)0x64b, (q15_t)0x1bac, + (q15_t)0x650, (q15_t)0x1bb8, (q15_t)0x656, (q15_t)0x1bc3, (q15_t)0x65b, (q15_t)0x1bce, (q15_t)0x661, (q15_t)0x1bda, + (q15_t)0x666, (q15_t)0x1be5, (q15_t)0x66c, (q15_t)0x1bf0, (q15_t)0x671, (q15_t)0x1bfc, (q15_t)0x677, (q15_t)0x1c07, + (q15_t)0x67c, (q15_t)0x1c12, (q15_t)0x682, (q15_t)0x1c1e, (q15_t)0x687, (q15_t)0x1c29, (q15_t)0x68d, (q15_t)0x1c34, + (q15_t)0x692, (q15_t)0x1c3f, (q15_t)0x698, (q15_t)0x1c4b, (q15_t)0x69d, (q15_t)0x1c56, (q15_t)0x6a3, (q15_t)0x1c61, + (q15_t)0x6a8, (q15_t)0x1c6c, (q15_t)0x6ae, (q15_t)0x1c78, (q15_t)0x6b4, (q15_t)0x1c83, (q15_t)0x6b9, (q15_t)0x1c8e, + (q15_t)0x6bf, (q15_t)0x1c99, (q15_t)0x6c5, (q15_t)0x1ca5, (q15_t)0x6ca, (q15_t)0x1cb0, (q15_t)0x6d0, (q15_t)0x1cbb, + (q15_t)0x6d5, (q15_t)0x1cc6, (q15_t)0x6db, (q15_t)0x1cd2, (q15_t)0x6e1, (q15_t)0x1cdd, (q15_t)0x6e6, (q15_t)0x1ce8, + (q15_t)0x6ec, (q15_t)0x1cf3, (q15_t)0x6f2, (q15_t)0x1cff, (q15_t)0x6f7, (q15_t)0x1d0a, (q15_t)0x6fd, (q15_t)0x1d15, + (q15_t)0x703, (q15_t)0x1d20, (q15_t)0x709, (q15_t)0x1d2b, (q15_t)0x70e, (q15_t)0x1d36, (q15_t)0x714, (q15_t)0x1d42, + (q15_t)0x71a, (q15_t)0x1d4d, (q15_t)0x720, (q15_t)0x1d58, (q15_t)0x725, (q15_t)0x1d63, (q15_t)0x72b, (q15_t)0x1d6e, + (q15_t)0x731, (q15_t)0x1d79, (q15_t)0x737, (q15_t)0x1d85, (q15_t)0x73d, (q15_t)0x1d90, (q15_t)0x742, (q15_t)0x1d9b, + (q15_t)0x748, (q15_t)0x1da6, (q15_t)0x74e, (q15_t)0x1db1, (q15_t)0x754, (q15_t)0x1dbc, (q15_t)0x75a, (q15_t)0x1dc7, + (q15_t)0x75f, (q15_t)0x1dd3, (q15_t)0x765, (q15_t)0x1dde, (q15_t)0x76b, (q15_t)0x1de9, (q15_t)0x771, (q15_t)0x1df4, + (q15_t)0x777, (q15_t)0x1dff, (q15_t)0x77d, (q15_t)0x1e0a, (q15_t)0x783, (q15_t)0x1e15, (q15_t)0x789, (q15_t)0x1e20, + (q15_t)0x78f, (q15_t)0x1e2b, (q15_t)0x795, (q15_t)0x1e36, (q15_t)0x79a, (q15_t)0x1e42, (q15_t)0x7a0, (q15_t)0x1e4d, + (q15_t)0x7a6, (q15_t)0x1e58, (q15_t)0x7ac, (q15_t)0x1e63, (q15_t)0x7b2, (q15_t)0x1e6e, (q15_t)0x7b8, (q15_t)0x1e79, + (q15_t)0x7be, (q15_t)0x1e84, (q15_t)0x7c4, (q15_t)0x1e8f, (q15_t)0x7ca, (q15_t)0x1e9a, (q15_t)0x7d0, (q15_t)0x1ea5, + (q15_t)0x7d6, (q15_t)0x1eb0, (q15_t)0x7dc, (q15_t)0x1ebb, (q15_t)0x7e2, (q15_t)0x1ec6, (q15_t)0x7e8, (q15_t)0x1ed1, + (q15_t)0x7ee, (q15_t)0x1edc, (q15_t)0x7f5, (q15_t)0x1ee7, (q15_t)0x7fb, (q15_t)0x1ef2, (q15_t)0x801, (q15_t)0x1efd, + (q15_t)0x807, (q15_t)0x1f08, (q15_t)0x80d, (q15_t)0x1f13, (q15_t)0x813, (q15_t)0x1f1e, (q15_t)0x819, (q15_t)0x1f29, + (q15_t)0x81f, (q15_t)0x1f34, (q15_t)0x825, (q15_t)0x1f3f, (q15_t)0x82b, (q15_t)0x1f4a, (q15_t)0x832, (q15_t)0x1f55, + (q15_t)0x838, (q15_t)0x1f60, (q15_t)0x83e, (q15_t)0x1f6b, (q15_t)0x844, (q15_t)0x1f76, (q15_t)0x84a, (q15_t)0x1f81, + (q15_t)0x850, (q15_t)0x1f8c, (q15_t)0x857, (q15_t)0x1f97, (q15_t)0x85d, (q15_t)0x1fa2, (q15_t)0x863, (q15_t)0x1fac, + (q15_t)0x869, (q15_t)0x1fb7, (q15_t)0x870, (q15_t)0x1fc2, (q15_t)0x876, (q15_t)0x1fcd, (q15_t)0x87c, (q15_t)0x1fd8, + (q15_t)0x882, (q15_t)0x1fe3, (q15_t)0x889, (q15_t)0x1fee, (q15_t)0x88f, (q15_t)0x1ff9, (q15_t)0x895, (q15_t)0x2004, + (q15_t)0x89b, (q15_t)0x200f, (q15_t)0x8a2, (q15_t)0x2019, (q15_t)0x8a8, (q15_t)0x2024, (q15_t)0x8ae, (q15_t)0x202f, + (q15_t)0x8b5, (q15_t)0x203a, (q15_t)0x8bb, (q15_t)0x2045, (q15_t)0x8c1, (q15_t)0x2050, (q15_t)0x8c8, (q15_t)0x205b, + (q15_t)0x8ce, (q15_t)0x2065, (q15_t)0x8d4, (q15_t)0x2070, (q15_t)0x8db, (q15_t)0x207b, (q15_t)0x8e1, (q15_t)0x2086, + (q15_t)0x8e8, (q15_t)0x2091, (q15_t)0x8ee, (q15_t)0x209b, (q15_t)0x8f4, (q15_t)0x20a6, (q15_t)0x8fb, (q15_t)0x20b1, + (q15_t)0x901, (q15_t)0x20bc, (q15_t)0x908, (q15_t)0x20c7, (q15_t)0x90e, (q15_t)0x20d1, (q15_t)0x915, (q15_t)0x20dc, + (q15_t)0x91b, (q15_t)0x20e7, (q15_t)0x921, (q15_t)0x20f2, (q15_t)0x928, (q15_t)0x20fd, (q15_t)0x92e, (q15_t)0x2107, + (q15_t)0x935, (q15_t)0x2112, (q15_t)0x93b, (q15_t)0x211d, (q15_t)0x942, (q15_t)0x2128, (q15_t)0x948, (q15_t)0x2132, + (q15_t)0x94f, (q15_t)0x213d, (q15_t)0x955, (q15_t)0x2148, (q15_t)0x95c, (q15_t)0x2153, (q15_t)0x963, (q15_t)0x215d, + (q15_t)0x969, (q15_t)0x2168, (q15_t)0x970, (q15_t)0x2173, (q15_t)0x976, (q15_t)0x217d, (q15_t)0x97d, (q15_t)0x2188, + (q15_t)0x983, (q15_t)0x2193, (q15_t)0x98a, (q15_t)0x219e, (q15_t)0x991, (q15_t)0x21a8, (q15_t)0x997, (q15_t)0x21b3, + (q15_t)0x99e, (q15_t)0x21be, (q15_t)0x9a4, (q15_t)0x21c8, (q15_t)0x9ab, (q15_t)0x21d3, (q15_t)0x9b2, (q15_t)0x21de, + (q15_t)0x9b8, (q15_t)0x21e8, (q15_t)0x9bf, (q15_t)0x21f3, (q15_t)0x9c6, (q15_t)0x21fe, (q15_t)0x9cc, (q15_t)0x2208, + (q15_t)0x9d3, (q15_t)0x2213, (q15_t)0x9da, (q15_t)0x221e, (q15_t)0x9e0, (q15_t)0x2228, (q15_t)0x9e7, (q15_t)0x2233, + (q15_t)0x9ee, (q15_t)0x223d, (q15_t)0x9f5, (q15_t)0x2248, (q15_t)0x9fb, (q15_t)0x2253, (q15_t)0xa02, (q15_t)0x225d, + (q15_t)0xa09, (q15_t)0x2268, (q15_t)0xa10, (q15_t)0x2272, (q15_t)0xa16, (q15_t)0x227d, (q15_t)0xa1d, (q15_t)0x2288, + (q15_t)0xa24, (q15_t)0x2292, (q15_t)0xa2b, (q15_t)0x229d, (q15_t)0xa32, (q15_t)0x22a7, (q15_t)0xa38, (q15_t)0x22b2, + (q15_t)0xa3f, (q15_t)0x22bc, (q15_t)0xa46, (q15_t)0x22c7, (q15_t)0xa4d, (q15_t)0x22d2, (q15_t)0xa54, (q15_t)0x22dc, + (q15_t)0xa5b, (q15_t)0x22e7, (q15_t)0xa61, (q15_t)0x22f1, (q15_t)0xa68, (q15_t)0x22fc, (q15_t)0xa6f, (q15_t)0x2306, + (q15_t)0xa76, (q15_t)0x2311, (q15_t)0xa7d, (q15_t)0x231b, (q15_t)0xa84, (q15_t)0x2326, (q15_t)0xa8b, (q15_t)0x2330, + (q15_t)0xa92, (q15_t)0x233b, (q15_t)0xa99, (q15_t)0x2345, (q15_t)0xa9f, (q15_t)0x2350, (q15_t)0xaa6, (q15_t)0x235a, + (q15_t)0xaad, (q15_t)0x2365, (q15_t)0xab4, (q15_t)0x236f, (q15_t)0xabb, (q15_t)0x237a, (q15_t)0xac2, (q15_t)0x2384, + (q15_t)0xac9, (q15_t)0x238e, (q15_t)0xad0, (q15_t)0x2399, (q15_t)0xad7, (q15_t)0x23a3, (q15_t)0xade, (q15_t)0x23ae, + (q15_t)0xae5, (q15_t)0x23b8, (q15_t)0xaec, (q15_t)0x23c3, (q15_t)0xaf3, (q15_t)0x23cd, (q15_t)0xafa, (q15_t)0x23d7, + (q15_t)0xb01, (q15_t)0x23e2, (q15_t)0xb08, (q15_t)0x23ec, (q15_t)0xb0f, (q15_t)0x23f7, (q15_t)0xb16, (q15_t)0x2401, + (q15_t)0xb1e, (q15_t)0x240b, (q15_t)0xb25, (q15_t)0x2416, (q15_t)0xb2c, (q15_t)0x2420, (q15_t)0xb33, (q15_t)0x242b, + (q15_t)0xb3a, (q15_t)0x2435, (q15_t)0xb41, (q15_t)0x243f, (q15_t)0xb48, (q15_t)0x244a, (q15_t)0xb4f, (q15_t)0x2454, + (q15_t)0xb56, (q15_t)0x245e, (q15_t)0xb5e, (q15_t)0x2469, (q15_t)0xb65, (q15_t)0x2473, (q15_t)0xb6c, (q15_t)0x247d, + (q15_t)0xb73, (q15_t)0x2488, (q15_t)0xb7a, (q15_t)0x2492, (q15_t)0xb81, (q15_t)0x249c, (q15_t)0xb89, (q15_t)0x24a7, + (q15_t)0xb90, (q15_t)0x24b1, (q15_t)0xb97, (q15_t)0x24bb, (q15_t)0xb9e, (q15_t)0x24c5, (q15_t)0xba5, (q15_t)0x24d0, + (q15_t)0xbad, (q15_t)0x24da, (q15_t)0xbb4, (q15_t)0x24e4, (q15_t)0xbbb, (q15_t)0x24ef, (q15_t)0xbc2, (q15_t)0x24f9, + (q15_t)0xbca, (q15_t)0x2503, (q15_t)0xbd1, (q15_t)0x250d, (q15_t)0xbd8, (q15_t)0x2518, (q15_t)0xbe0, (q15_t)0x2522, + (q15_t)0xbe7, (q15_t)0x252c, (q15_t)0xbee, (q15_t)0x2536, (q15_t)0xbf5, (q15_t)0x2541, (q15_t)0xbfd, (q15_t)0x254b, + (q15_t)0xc04, (q15_t)0x2555, (q15_t)0xc0b, (q15_t)0x255f, (q15_t)0xc13, (q15_t)0x2569, (q15_t)0xc1a, (q15_t)0x2574, + (q15_t)0xc21, (q15_t)0x257e, (q15_t)0xc29, (q15_t)0x2588, (q15_t)0xc30, (q15_t)0x2592, (q15_t)0xc38, (q15_t)0x259c, + (q15_t)0xc3f, (q15_t)0x25a6, (q15_t)0xc46, (q15_t)0x25b1, (q15_t)0xc4e, (q15_t)0x25bb, (q15_t)0xc55, (q15_t)0x25c5, + (q15_t)0xc5d, (q15_t)0x25cf, (q15_t)0xc64, (q15_t)0x25d9, (q15_t)0xc6b, (q15_t)0x25e3, (q15_t)0xc73, (q15_t)0x25ed, + (q15_t)0xc7a, (q15_t)0x25f8, (q15_t)0xc82, (q15_t)0x2602, (q15_t)0xc89, (q15_t)0x260c, (q15_t)0xc91, (q15_t)0x2616, + (q15_t)0xc98, (q15_t)0x2620, (q15_t)0xca0, (q15_t)0x262a, (q15_t)0xca7, (q15_t)0x2634, (q15_t)0xcaf, (q15_t)0x263e, + (q15_t)0xcb6, (q15_t)0x2648, (q15_t)0xcbe, (q15_t)0x2652, (q15_t)0xcc5, (q15_t)0x265c, (q15_t)0xccd, (q15_t)0x2666, + (q15_t)0xcd4, (q15_t)0x2671, (q15_t)0xcdc, (q15_t)0x267b, (q15_t)0xce3, (q15_t)0x2685, (q15_t)0xceb, (q15_t)0x268f, + (q15_t)0xcf3, (q15_t)0x2699, (q15_t)0xcfa, (q15_t)0x26a3, (q15_t)0xd02, (q15_t)0x26ad, (q15_t)0xd09, (q15_t)0x26b7, + (q15_t)0xd11, (q15_t)0x26c1, (q15_t)0xd19, (q15_t)0x26cb, (q15_t)0xd20, (q15_t)0x26d5, (q15_t)0xd28, (q15_t)0x26df, + (q15_t)0xd30, (q15_t)0x26e9, (q15_t)0xd37, (q15_t)0x26f3, (q15_t)0xd3f, (q15_t)0x26fd, (q15_t)0xd46, (q15_t)0x2707, + (q15_t)0xd4e, (q15_t)0x2711, (q15_t)0xd56, (q15_t)0x271a, (q15_t)0xd5d, (q15_t)0x2724, (q15_t)0xd65, (q15_t)0x272e, + (q15_t)0xd6d, (q15_t)0x2738, (q15_t)0xd75, (q15_t)0x2742, (q15_t)0xd7c, (q15_t)0x274c, (q15_t)0xd84, (q15_t)0x2756, + (q15_t)0xd8c, (q15_t)0x2760, (q15_t)0xd93, (q15_t)0x276a, (q15_t)0xd9b, (q15_t)0x2774, (q15_t)0xda3, (q15_t)0x277e, + (q15_t)0xdab, (q15_t)0x2788, (q15_t)0xdb2, (q15_t)0x2791, (q15_t)0xdba, (q15_t)0x279b, (q15_t)0xdc2, (q15_t)0x27a5, + (q15_t)0xdca, (q15_t)0x27af, (q15_t)0xdd2, (q15_t)0x27b9, (q15_t)0xdd9, (q15_t)0x27c3, (q15_t)0xde1, (q15_t)0x27cd, + (q15_t)0xde9, (q15_t)0x27d6, (q15_t)0xdf1, (q15_t)0x27e0, (q15_t)0xdf9, (q15_t)0x27ea, (q15_t)0xe01, (q15_t)0x27f4, + (q15_t)0xe08, (q15_t)0x27fe, (q15_t)0xe10, (q15_t)0x2808, (q15_t)0xe18, (q15_t)0x2811, (q15_t)0xe20, (q15_t)0x281b, + (q15_t)0xe28, (q15_t)0x2825, (q15_t)0xe30, (q15_t)0x282f, (q15_t)0xe38, (q15_t)0x2838, (q15_t)0xe40, (q15_t)0x2842, + (q15_t)0xe47, (q15_t)0x284c, (q15_t)0xe4f, (q15_t)0x2856, (q15_t)0xe57, (q15_t)0x2860, (q15_t)0xe5f, (q15_t)0x2869, + (q15_t)0xe67, (q15_t)0x2873, (q15_t)0xe6f, (q15_t)0x287d, (q15_t)0xe77, (q15_t)0x2886, (q15_t)0xe7f, (q15_t)0x2890, + (q15_t)0xe87, (q15_t)0x289a, (q15_t)0xe8f, (q15_t)0x28a4, (q15_t)0xe97, (q15_t)0x28ad, (q15_t)0xe9f, (q15_t)0x28b7, + (q15_t)0xea7, (q15_t)0x28c1, (q15_t)0xeaf, (q15_t)0x28ca, (q15_t)0xeb7, (q15_t)0x28d4, (q15_t)0xebf, (q15_t)0x28de, + (q15_t)0xec7, (q15_t)0x28e7, (q15_t)0xecf, (q15_t)0x28f1, (q15_t)0xed7, (q15_t)0x28fb, (q15_t)0xedf, (q15_t)0x2904, + (q15_t)0xee7, (q15_t)0x290e, (q15_t)0xeef, (q15_t)0x2918, (q15_t)0xef7, (q15_t)0x2921, (q15_t)0xeff, (q15_t)0x292b, + (q15_t)0xf07, (q15_t)0x2935, (q15_t)0xf10, (q15_t)0x293e, (q15_t)0xf18, (q15_t)0x2948, (q15_t)0xf20, (q15_t)0x2951, + (q15_t)0xf28, (q15_t)0x295b, (q15_t)0xf30, (q15_t)0x2965, (q15_t)0xf38, (q15_t)0x296e, (q15_t)0xf40, (q15_t)0x2978, + (q15_t)0xf48, (q15_t)0x2981, (q15_t)0xf51, (q15_t)0x298b, (q15_t)0xf59, (q15_t)0x2994, (q15_t)0xf61, (q15_t)0x299e, + (q15_t)0xf69, (q15_t)0x29a7, (q15_t)0xf71, (q15_t)0x29b1, (q15_t)0xf79, (q15_t)0x29bb, (q15_t)0xf82, (q15_t)0x29c4, + (q15_t)0xf8a, (q15_t)0x29ce, (q15_t)0xf92, (q15_t)0x29d7, (q15_t)0xf9a, (q15_t)0x29e1, (q15_t)0xfa3, (q15_t)0x29ea, + (q15_t)0xfab, (q15_t)0x29f4, (q15_t)0xfb3, (q15_t)0x29fd, (q15_t)0xfbb, (q15_t)0x2a07, (q15_t)0xfc4, (q15_t)0x2a10, + (q15_t)0xfcc, (q15_t)0x2a1a, (q15_t)0xfd4, (q15_t)0x2a23, (q15_t)0xfdc, (q15_t)0x2a2c, (q15_t)0xfe5, (q15_t)0x2a36, + (q15_t)0xfed, (q15_t)0x2a3f, (q15_t)0xff5, (q15_t)0x2a49, (q15_t)0xffe, (q15_t)0x2a52, (q15_t)0x1006, (q15_t)0x2a5c, + (q15_t)0x100e, (q15_t)0x2a65, (q15_t)0x1016, (q15_t)0x2a6e, (q15_t)0x101f, (q15_t)0x2a78, (q15_t)0x1027, (q15_t)0x2a81, + (q15_t)0x1030, (q15_t)0x2a8b, (q15_t)0x1038, (q15_t)0x2a94, (q15_t)0x1040, (q15_t)0x2a9d, (q15_t)0x1049, (q15_t)0x2aa7, + (q15_t)0x1051, (q15_t)0x2ab0, (q15_t)0x1059, (q15_t)0x2ab9, (q15_t)0x1062, (q15_t)0x2ac3, (q15_t)0x106a, (q15_t)0x2acc, + (q15_t)0x1073, (q15_t)0x2ad6, (q15_t)0x107b, (q15_t)0x2adf, (q15_t)0x1083, (q15_t)0x2ae8, (q15_t)0x108c, (q15_t)0x2af2, + (q15_t)0x1094, (q15_t)0x2afb, (q15_t)0x109d, (q15_t)0x2b04, (q15_t)0x10a5, (q15_t)0x2b0d, (q15_t)0x10ae, (q15_t)0x2b17, + (q15_t)0x10b6, (q15_t)0x2b20, (q15_t)0x10bf, (q15_t)0x2b29, (q15_t)0x10c7, (q15_t)0x2b33, (q15_t)0x10d0, (q15_t)0x2b3c, + (q15_t)0x10d8, (q15_t)0x2b45, (q15_t)0x10e0, (q15_t)0x2b4e, (q15_t)0x10e9, (q15_t)0x2b58, (q15_t)0x10f2, (q15_t)0x2b61, + (q15_t)0x10fa, (q15_t)0x2b6a, (q15_t)0x1103, (q15_t)0x2b73, (q15_t)0x110b, (q15_t)0x2b7d, (q15_t)0x1114, (q15_t)0x2b86, + (q15_t)0x111c, (q15_t)0x2b8f, (q15_t)0x1125, (q15_t)0x2b98, (q15_t)0x112d, (q15_t)0x2ba1, (q15_t)0x1136, (q15_t)0x2bab, + (q15_t)0x113e, (q15_t)0x2bb4, (q15_t)0x1147, (q15_t)0x2bbd, (q15_t)0x1150, (q15_t)0x2bc6, (q15_t)0x1158, (q15_t)0x2bcf, + (q15_t)0x1161, (q15_t)0x2bd8, (q15_t)0x1169, (q15_t)0x2be2, (q15_t)0x1172, (q15_t)0x2beb, (q15_t)0x117b, (q15_t)0x2bf4, + (q15_t)0x1183, (q15_t)0x2bfd, (q15_t)0x118c, (q15_t)0x2c06, (q15_t)0x1195, (q15_t)0x2c0f, (q15_t)0x119d, (q15_t)0x2c18, + (q15_t)0x11a6, (q15_t)0x2c21, (q15_t)0x11af, (q15_t)0x2c2b, (q15_t)0x11b7, (q15_t)0x2c34, (q15_t)0x11c0, (q15_t)0x2c3d, + (q15_t)0x11c9, (q15_t)0x2c46, (q15_t)0x11d1, (q15_t)0x2c4f, (q15_t)0x11da, (q15_t)0x2c58, (q15_t)0x11e3, (q15_t)0x2c61, + (q15_t)0x11eb, (q15_t)0x2c6a, (q15_t)0x11f4, (q15_t)0x2c73, (q15_t)0x11fd, (q15_t)0x2c7c, (q15_t)0x1206, (q15_t)0x2c85, + (q15_t)0x120e, (q15_t)0x2c8e, (q15_t)0x1217, (q15_t)0x2c97, (q15_t)0x1220, (q15_t)0x2ca0, (q15_t)0x1229, (q15_t)0x2ca9, + (q15_t)0x1231, (q15_t)0x2cb2, (q15_t)0x123a, (q15_t)0x2cbb, (q15_t)0x1243, (q15_t)0x2cc4, (q15_t)0x124c, (q15_t)0x2ccd, + (q15_t)0x1255, (q15_t)0x2cd6, (q15_t)0x125d, (q15_t)0x2cdf, (q15_t)0x1266, (q15_t)0x2ce8, (q15_t)0x126f, (q15_t)0x2cf1, + (q15_t)0x1278, (q15_t)0x2cfa, (q15_t)0x1281, (q15_t)0x2d03, (q15_t)0x128a, (q15_t)0x2d0c, (q15_t)0x1292, (q15_t)0x2d15, + (q15_t)0x129b, (q15_t)0x2d1e, (q15_t)0x12a4, (q15_t)0x2d27, (q15_t)0x12ad, (q15_t)0x2d2f, (q15_t)0x12b6, (q15_t)0x2d38, + (q15_t)0x12bf, (q15_t)0x2d41, (q15_t)0x12c8, (q15_t)0x2d4a, (q15_t)0x12d1, (q15_t)0x2d53, (q15_t)0x12d9, (q15_t)0x2d5c, + (q15_t)0x12e2, (q15_t)0x2d65, (q15_t)0x12eb, (q15_t)0x2d6e, (q15_t)0x12f4, (q15_t)0x2d76, (q15_t)0x12fd, (q15_t)0x2d7f, + (q15_t)0x1306, (q15_t)0x2d88, (q15_t)0x130f, (q15_t)0x2d91, (q15_t)0x1318, (q15_t)0x2d9a, (q15_t)0x1321, (q15_t)0x2da3, + (q15_t)0x132a, (q15_t)0x2dab, (q15_t)0x1333, (q15_t)0x2db4, (q15_t)0x133c, (q15_t)0x2dbd, (q15_t)0x1345, (q15_t)0x2dc6, + (q15_t)0x134e, (q15_t)0x2dcf, (q15_t)0x1357, (q15_t)0x2dd7, (q15_t)0x1360, (q15_t)0x2de0, (q15_t)0x1369, (q15_t)0x2de9, + (q15_t)0x1372, (q15_t)0x2df2, (q15_t)0x137b, (q15_t)0x2dfa, (q15_t)0x1384, (q15_t)0x2e03, (q15_t)0x138d, (q15_t)0x2e0c, + (q15_t)0x1396, (q15_t)0x2e15, (q15_t)0x139f, (q15_t)0x2e1d, (q15_t)0x13a8, (q15_t)0x2e26, (q15_t)0x13b1, (q15_t)0x2e2f, + (q15_t)0x13ba, (q15_t)0x2e37, (q15_t)0x13c3, (q15_t)0x2e40, (q15_t)0x13cc, (q15_t)0x2e49, (q15_t)0x13d5, (q15_t)0x2e51, + (q15_t)0x13df, (q15_t)0x2e5a, (q15_t)0x13e8, (q15_t)0x2e63, (q15_t)0x13f1, (q15_t)0x2e6b, (q15_t)0x13fa, (q15_t)0x2e74, + (q15_t)0x1403, (q15_t)0x2e7d, (q15_t)0x140c, (q15_t)0x2e85, (q15_t)0x1415, (q15_t)0x2e8e, (q15_t)0x141e, (q15_t)0x2e97, + (q15_t)0x1428, (q15_t)0x2e9f, (q15_t)0x1431, (q15_t)0x2ea8, (q15_t)0x143a, (q15_t)0x2eb0, (q15_t)0x1443, (q15_t)0x2eb9, + (q15_t)0x144c, (q15_t)0x2ec2, (q15_t)0x1455, (q15_t)0x2eca, (q15_t)0x145f, (q15_t)0x2ed3, (q15_t)0x1468, (q15_t)0x2edb, + (q15_t)0x1471, (q15_t)0x2ee4, (q15_t)0x147a, (q15_t)0x2eec, (q15_t)0x1483, (q15_t)0x2ef5, (q15_t)0x148d, (q15_t)0x2efd, + (q15_t)0x1496, (q15_t)0x2f06, (q15_t)0x149f, (q15_t)0x2f0e, (q15_t)0x14a8, (q15_t)0x2f17, (q15_t)0x14b2, (q15_t)0x2f20, + (q15_t)0x14bb, (q15_t)0x2f28, (q15_t)0x14c4, (q15_t)0x2f30, (q15_t)0x14cd, (q15_t)0x2f39, (q15_t)0x14d7, (q15_t)0x2f41, + (q15_t)0x14e0, (q15_t)0x2f4a, (q15_t)0x14e9, (q15_t)0x2f52, (q15_t)0x14f3, (q15_t)0x2f5b, (q15_t)0x14fc, (q15_t)0x2f63, + (q15_t)0x1505, (q15_t)0x2f6c, (q15_t)0x150e, (q15_t)0x2f74, (q15_t)0x1518, (q15_t)0x2f7d, (q15_t)0x1521, (q15_t)0x2f85, + (q15_t)0x152a, (q15_t)0x2f8d, (q15_t)0x1534, (q15_t)0x2f96, (q15_t)0x153d, (q15_t)0x2f9e, (q15_t)0x1547, (q15_t)0x2fa7, + (q15_t)0x1550, (q15_t)0x2faf, (q15_t)0x1559, (q15_t)0x2fb7, (q15_t)0x1563, (q15_t)0x2fc0, (q15_t)0x156c, (q15_t)0x2fc8, + (q15_t)0x1575, (q15_t)0x2fd0, (q15_t)0x157f, (q15_t)0x2fd9, (q15_t)0x1588, (q15_t)0x2fe1, (q15_t)0x1592, (q15_t)0x2fea, + (q15_t)0x159b, (q15_t)0x2ff2, (q15_t)0x15a4, (q15_t)0x2ffa, (q15_t)0x15ae, (q15_t)0x3002, (q15_t)0x15b7, (q15_t)0x300b, + (q15_t)0x15c1, (q15_t)0x3013, (q15_t)0x15ca, (q15_t)0x301b, (q15_t)0x15d4, (q15_t)0x3024, (q15_t)0x15dd, (q15_t)0x302c, + (q15_t)0x15e6, (q15_t)0x3034, (q15_t)0x15f0, (q15_t)0x303c, (q15_t)0x15f9, (q15_t)0x3045, (q15_t)0x1603, (q15_t)0x304d, + (q15_t)0x160c, (q15_t)0x3055, (q15_t)0x1616, (q15_t)0x305d, (q15_t)0x161f, (q15_t)0x3066, (q15_t)0x1629, (q15_t)0x306e, + (q15_t)0x1632, (q15_t)0x3076, (q15_t)0x163c, (q15_t)0x307e, (q15_t)0x1645, (q15_t)0x3087, (q15_t)0x164f, (q15_t)0x308f, + (q15_t)0x1659, (q15_t)0x3097, (q15_t)0x1662, (q15_t)0x309f, (q15_t)0x166c, (q15_t)0x30a7, (q15_t)0x1675, (q15_t)0x30af, + (q15_t)0x167f, (q15_t)0x30b8, (q15_t)0x1688, (q15_t)0x30c0, (q15_t)0x1692, (q15_t)0x30c8, (q15_t)0x169b, (q15_t)0x30d0, + (q15_t)0x16a5, (q15_t)0x30d8, (q15_t)0x16af, (q15_t)0x30e0, (q15_t)0x16b8, (q15_t)0x30e8, (q15_t)0x16c2, (q15_t)0x30f0, + (q15_t)0x16cb, (q15_t)0x30f9, (q15_t)0x16d5, (q15_t)0x3101, (q15_t)0x16df, (q15_t)0x3109, (q15_t)0x16e8, (q15_t)0x3111, + (q15_t)0x16f2, (q15_t)0x3119, (q15_t)0x16fc, (q15_t)0x3121, (q15_t)0x1705, (q15_t)0x3129, (q15_t)0x170f, (q15_t)0x3131, + (q15_t)0x1719, (q15_t)0x3139, (q15_t)0x1722, (q15_t)0x3141, (q15_t)0x172c, (q15_t)0x3149, (q15_t)0x1736, (q15_t)0x3151, + (q15_t)0x173f, (q15_t)0x3159, (q15_t)0x1749, (q15_t)0x3161, (q15_t)0x1753, (q15_t)0x3169, (q15_t)0x175c, (q15_t)0x3171, + (q15_t)0x1766, (q15_t)0x3179, (q15_t)0x1770, (q15_t)0x3181, (q15_t)0x177a, (q15_t)0x3189, (q15_t)0x1783, (q15_t)0x3191, + (q15_t)0x178d, (q15_t)0x3199, (q15_t)0x1797, (q15_t)0x31a1, (q15_t)0x17a0, (q15_t)0x31a9, (q15_t)0x17aa, (q15_t)0x31b1, + (q15_t)0x17b4, (q15_t)0x31b9, (q15_t)0x17be, (q15_t)0x31c0, (q15_t)0x17c8, (q15_t)0x31c8, (q15_t)0x17d1, (q15_t)0x31d0, + (q15_t)0x17db, (q15_t)0x31d8, (q15_t)0x17e5, (q15_t)0x31e0, (q15_t)0x17ef, (q15_t)0x31e8, (q15_t)0x17f8, (q15_t)0x31f0, + (q15_t)0x1802, (q15_t)0x31f8, (q15_t)0x180c, (q15_t)0x31ff, (q15_t)0x1816, (q15_t)0x3207, (q15_t)0x1820, (q15_t)0x320f, + (q15_t)0x182a, (q15_t)0x3217, (q15_t)0x1833, (q15_t)0x321f, (q15_t)0x183d, (q15_t)0x3227, (q15_t)0x1847, (q15_t)0x322e, + (q15_t)0x1851, (q15_t)0x3236, (q15_t)0x185b, (q15_t)0x323e, (q15_t)0x1865, (q15_t)0x3246, (q15_t)0x186f, (q15_t)0x324e, + (q15_t)0x1878, (q15_t)0x3255, (q15_t)0x1882, (q15_t)0x325d, (q15_t)0x188c, (q15_t)0x3265, (q15_t)0x1896, (q15_t)0x326d, + (q15_t)0x18a0, (q15_t)0x3274, (q15_t)0x18aa, (q15_t)0x327c, (q15_t)0x18b4, (q15_t)0x3284, (q15_t)0x18be, (q15_t)0x328b, + (q15_t)0x18c8, (q15_t)0x3293, (q15_t)0x18d2, (q15_t)0x329b, (q15_t)0x18dc, (q15_t)0x32a3, (q15_t)0x18e6, (q15_t)0x32aa, + (q15_t)0x18ef, (q15_t)0x32b2, (q15_t)0x18f9, (q15_t)0x32ba, (q15_t)0x1903, (q15_t)0x32c1, (q15_t)0x190d, (q15_t)0x32c9, + (q15_t)0x1917, (q15_t)0x32d0, (q15_t)0x1921, (q15_t)0x32d8, (q15_t)0x192b, (q15_t)0x32e0, (q15_t)0x1935, (q15_t)0x32e7, + (q15_t)0x193f, (q15_t)0x32ef, (q15_t)0x1949, (q15_t)0x32f7, (q15_t)0x1953, (q15_t)0x32fe, (q15_t)0x195d, (q15_t)0x3306, + (q15_t)0x1967, (q15_t)0x330d, (q15_t)0x1971, (q15_t)0x3315, (q15_t)0x197b, (q15_t)0x331d, (q15_t)0x1985, (q15_t)0x3324, + (q15_t)0x198f, (q15_t)0x332c, (q15_t)0x199a, (q15_t)0x3333, (q15_t)0x19a4, (q15_t)0x333b, (q15_t)0x19ae, (q15_t)0x3342, + (q15_t)0x19b8, (q15_t)0x334a, (q15_t)0x19c2, (q15_t)0x3351, (q15_t)0x19cc, (q15_t)0x3359, (q15_t)0x19d6, (q15_t)0x3360, + (q15_t)0x19e0, (q15_t)0x3368, (q15_t)0x19ea, (q15_t)0x336f, (q15_t)0x19f4, (q15_t)0x3377, (q15_t)0x19fe, (q15_t)0x337e, + (q15_t)0x1a08, (q15_t)0x3386, (q15_t)0x1a13, (q15_t)0x338d, (q15_t)0x1a1d, (q15_t)0x3395, (q15_t)0x1a27, (q15_t)0x339c, + (q15_t)0x1a31, (q15_t)0x33a3, (q15_t)0x1a3b, (q15_t)0x33ab, (q15_t)0x1a45, (q15_t)0x33b2, (q15_t)0x1a4f, (q15_t)0x33ba, + (q15_t)0x1a5a, (q15_t)0x33c1, (q15_t)0x1a64, (q15_t)0x33c8, (q15_t)0x1a6e, (q15_t)0x33d0, (q15_t)0x1a78, (q15_t)0x33d7, + (q15_t)0x1a82, (q15_t)0x33df, (q15_t)0x1a8c, (q15_t)0x33e6, (q15_t)0x1a97, (q15_t)0x33ed, (q15_t)0x1aa1, (q15_t)0x33f5, + (q15_t)0x1aab, (q15_t)0x33fc, (q15_t)0x1ab5, (q15_t)0x3403, (q15_t)0x1abf, (q15_t)0x340b, (q15_t)0x1aca, (q15_t)0x3412, + (q15_t)0x1ad4, (q15_t)0x3419, (q15_t)0x1ade, (q15_t)0x3420, (q15_t)0x1ae8, (q15_t)0x3428, (q15_t)0x1af3, (q15_t)0x342f, + (q15_t)0x1afd, (q15_t)0x3436, (q15_t)0x1b07, (q15_t)0x343e, (q15_t)0x1b11, (q15_t)0x3445, (q15_t)0x1b1c, (q15_t)0x344c, + (q15_t)0x1b26, (q15_t)0x3453, (q15_t)0x1b30, (q15_t)0x345b, (q15_t)0x1b3b, (q15_t)0x3462, (q15_t)0x1b45, (q15_t)0x3469, + (q15_t)0x1b4f, (q15_t)0x3470, (q15_t)0x1b59, (q15_t)0x3477, (q15_t)0x1b64, (q15_t)0x347f, (q15_t)0x1b6e, (q15_t)0x3486, + (q15_t)0x1b78, (q15_t)0x348d, (q15_t)0x1b83, (q15_t)0x3494, (q15_t)0x1b8d, (q15_t)0x349b, (q15_t)0x1b97, (q15_t)0x34a2, + (q15_t)0x1ba2, (q15_t)0x34aa, (q15_t)0x1bac, (q15_t)0x34b1, (q15_t)0x1bb6, (q15_t)0x34b8, (q15_t)0x1bc1, (q15_t)0x34bf, + (q15_t)0x1bcb, (q15_t)0x34c6, (q15_t)0x1bd5, (q15_t)0x34cd, (q15_t)0x1be0, (q15_t)0x34d4, (q15_t)0x1bea, (q15_t)0x34db, + (q15_t)0x1bf5, (q15_t)0x34e2, (q15_t)0x1bff, (q15_t)0x34ea, (q15_t)0x1c09, (q15_t)0x34f1, (q15_t)0x1c14, (q15_t)0x34f8, + (q15_t)0x1c1e, (q15_t)0x34ff, (q15_t)0x1c29, (q15_t)0x3506, (q15_t)0x1c33, (q15_t)0x350d, (q15_t)0x1c3d, (q15_t)0x3514, + (q15_t)0x1c48, (q15_t)0x351b, (q15_t)0x1c52, (q15_t)0x3522, (q15_t)0x1c5d, (q15_t)0x3529, (q15_t)0x1c67, (q15_t)0x3530, + (q15_t)0x1c72, (q15_t)0x3537, (q15_t)0x1c7c, (q15_t)0x353e, (q15_t)0x1c86, (q15_t)0x3545, (q15_t)0x1c91, (q15_t)0x354c, + (q15_t)0x1c9b, (q15_t)0x3553, (q15_t)0x1ca6, (q15_t)0x355a, (q15_t)0x1cb0, (q15_t)0x3561, (q15_t)0x1cbb, (q15_t)0x3567, + (q15_t)0x1cc5, (q15_t)0x356e, (q15_t)0x1cd0, (q15_t)0x3575, (q15_t)0x1cda, (q15_t)0x357c, (q15_t)0x1ce5, (q15_t)0x3583, + (q15_t)0x1cef, (q15_t)0x358a, (q15_t)0x1cfa, (q15_t)0x3591, (q15_t)0x1d04, (q15_t)0x3598, (q15_t)0x1d0f, (q15_t)0x359f, + (q15_t)0x1d19, (q15_t)0x35a5, (q15_t)0x1d24, (q15_t)0x35ac, (q15_t)0x1d2e, (q15_t)0x35b3, (q15_t)0x1d39, (q15_t)0x35ba, + (q15_t)0x1d44, (q15_t)0x35c1, (q15_t)0x1d4e, (q15_t)0x35c8, (q15_t)0x1d59, (q15_t)0x35ce, (q15_t)0x1d63, (q15_t)0x35d5, + (q15_t)0x1d6e, (q15_t)0x35dc, (q15_t)0x1d78, (q15_t)0x35e3, (q15_t)0x1d83, (q15_t)0x35ea, (q15_t)0x1d8e, (q15_t)0x35f0, + (q15_t)0x1d98, (q15_t)0x35f7, (q15_t)0x1da3, (q15_t)0x35fe, (q15_t)0x1dad, (q15_t)0x3605, (q15_t)0x1db8, (q15_t)0x360b, + (q15_t)0x1dc3, (q15_t)0x3612, (q15_t)0x1dcd, (q15_t)0x3619, (q15_t)0x1dd8, (q15_t)0x3620, (q15_t)0x1de2, (q15_t)0x3626, + (q15_t)0x1ded, (q15_t)0x362d, (q15_t)0x1df8, (q15_t)0x3634, (q15_t)0x1e02, (q15_t)0x363a, (q15_t)0x1e0d, (q15_t)0x3641, + (q15_t)0x1e18, (q15_t)0x3648, (q15_t)0x1e22, (q15_t)0x364e, (q15_t)0x1e2d, (q15_t)0x3655, (q15_t)0x1e38, (q15_t)0x365c, + (q15_t)0x1e42, (q15_t)0x3662, (q15_t)0x1e4d, (q15_t)0x3669, (q15_t)0x1e58, (q15_t)0x366f, (q15_t)0x1e62, (q15_t)0x3676, + (q15_t)0x1e6d, (q15_t)0x367d, (q15_t)0x1e78, (q15_t)0x3683, (q15_t)0x1e83, (q15_t)0x368a, (q15_t)0x1e8d, (q15_t)0x3690, + (q15_t)0x1e98, (q15_t)0x3697, (q15_t)0x1ea3, (q15_t)0x369d, (q15_t)0x1ead, (q15_t)0x36a4, (q15_t)0x1eb8, (q15_t)0x36ab, + (q15_t)0x1ec3, (q15_t)0x36b1, (q15_t)0x1ece, (q15_t)0x36b8, (q15_t)0x1ed8, (q15_t)0x36be, (q15_t)0x1ee3, (q15_t)0x36c5, + (q15_t)0x1eee, (q15_t)0x36cb, (q15_t)0x1ef9, (q15_t)0x36d2, (q15_t)0x1f03, (q15_t)0x36d8, (q15_t)0x1f0e, (q15_t)0x36df, + (q15_t)0x1f19, (q15_t)0x36e5, (q15_t)0x1f24, (q15_t)0x36eb, (q15_t)0x1f2f, (q15_t)0x36f2, (q15_t)0x1f39, (q15_t)0x36f8, + (q15_t)0x1f44, (q15_t)0x36ff, (q15_t)0x1f4f, (q15_t)0x3705, (q15_t)0x1f5a, (q15_t)0x370c, (q15_t)0x1f65, (q15_t)0x3712, + (q15_t)0x1f6f, (q15_t)0x3718, (q15_t)0x1f7a, (q15_t)0x371f, (q15_t)0x1f85, (q15_t)0x3725, (q15_t)0x1f90, (q15_t)0x372c, + (q15_t)0x1f9b, (q15_t)0x3732, (q15_t)0x1fa5, (q15_t)0x3738, (q15_t)0x1fb0, (q15_t)0x373f, (q15_t)0x1fbb, (q15_t)0x3745, + (q15_t)0x1fc6, (q15_t)0x374b, (q15_t)0x1fd1, (q15_t)0x3752, (q15_t)0x1fdc, (q15_t)0x3758, (q15_t)0x1fe7, (q15_t)0x375e, + (q15_t)0x1ff1, (q15_t)0x3765, (q15_t)0x1ffc, (q15_t)0x376b, (q15_t)0x2007, (q15_t)0x3771, (q15_t)0x2012, (q15_t)0x3777, + (q15_t)0x201d, (q15_t)0x377e, (q15_t)0x2028, (q15_t)0x3784, (q15_t)0x2033, (q15_t)0x378a, (q15_t)0x203e, (q15_t)0x3790, + (q15_t)0x2049, (q15_t)0x3797, (q15_t)0x2054, (q15_t)0x379d, (q15_t)0x205e, (q15_t)0x37a3, (q15_t)0x2069, (q15_t)0x37a9, + (q15_t)0x2074, (q15_t)0x37b0, (q15_t)0x207f, (q15_t)0x37b6, (q15_t)0x208a, (q15_t)0x37bc, (q15_t)0x2095, (q15_t)0x37c2, + (q15_t)0x20a0, (q15_t)0x37c8, (q15_t)0x20ab, (q15_t)0x37ce, (q15_t)0x20b6, (q15_t)0x37d5, (q15_t)0x20c1, (q15_t)0x37db, + (q15_t)0x20cc, (q15_t)0x37e1, (q15_t)0x20d7, (q15_t)0x37e7, (q15_t)0x20e2, (q15_t)0x37ed, (q15_t)0x20ed, (q15_t)0x37f3, + (q15_t)0x20f8, (q15_t)0x37f9, (q15_t)0x2103, (q15_t)0x37ff, (q15_t)0x210e, (q15_t)0x3805, (q15_t)0x2119, (q15_t)0x380b, + (q15_t)0x2124, (q15_t)0x3812, (q15_t)0x212f, (q15_t)0x3818, (q15_t)0x213a, (q15_t)0x381e, (q15_t)0x2145, (q15_t)0x3824, + (q15_t)0x2150, (q15_t)0x382a, (q15_t)0x215b, (q15_t)0x3830, (q15_t)0x2166, (q15_t)0x3836, (q15_t)0x2171, (q15_t)0x383c, + (q15_t)0x217c, (q15_t)0x3842, (q15_t)0x2187, (q15_t)0x3848, (q15_t)0x2192, (q15_t)0x384e, (q15_t)0x219d, (q15_t)0x3854, + (q15_t)0x21a8, (q15_t)0x385a, (q15_t)0x21b3, (q15_t)0x3860, (q15_t)0x21be, (q15_t)0x3866, (q15_t)0x21ca, (q15_t)0x386b, + (q15_t)0x21d5, (q15_t)0x3871, (q15_t)0x21e0, (q15_t)0x3877, (q15_t)0x21eb, (q15_t)0x387d, (q15_t)0x21f6, (q15_t)0x3883, + (q15_t)0x2201, (q15_t)0x3889, (q15_t)0x220c, (q15_t)0x388f, (q15_t)0x2217, (q15_t)0x3895, (q15_t)0x2222, (q15_t)0x389b, + (q15_t)0x222d, (q15_t)0x38a1, (q15_t)0x2239, (q15_t)0x38a6, (q15_t)0x2244, (q15_t)0x38ac, (q15_t)0x224f, (q15_t)0x38b2, + (q15_t)0x225a, (q15_t)0x38b8, (q15_t)0x2265, (q15_t)0x38be, (q15_t)0x2270, (q15_t)0x38c3, (q15_t)0x227b, (q15_t)0x38c9, + (q15_t)0x2287, (q15_t)0x38cf, (q15_t)0x2292, (q15_t)0x38d5, (q15_t)0x229d, (q15_t)0x38db, (q15_t)0x22a8, (q15_t)0x38e0, + (q15_t)0x22b3, (q15_t)0x38e6, (q15_t)0x22be, (q15_t)0x38ec, (q15_t)0x22ca, (q15_t)0x38f2, (q15_t)0x22d5, (q15_t)0x38f7, + (q15_t)0x22e0, (q15_t)0x38fd, (q15_t)0x22eb, (q15_t)0x3903, (q15_t)0x22f6, (q15_t)0x3909, (q15_t)0x2301, (q15_t)0x390e, + (q15_t)0x230d, (q15_t)0x3914, (q15_t)0x2318, (q15_t)0x391a, (q15_t)0x2323, (q15_t)0x391f, (q15_t)0x232e, (q15_t)0x3925, + (q15_t)0x233a, (q15_t)0x392b, (q15_t)0x2345, (q15_t)0x3930, (q15_t)0x2350, (q15_t)0x3936, (q15_t)0x235b, (q15_t)0x393b, + (q15_t)0x2367, (q15_t)0x3941, (q15_t)0x2372, (q15_t)0x3947, (q15_t)0x237d, (q15_t)0x394c, (q15_t)0x2388, (q15_t)0x3952, + (q15_t)0x2394, (q15_t)0x3958, (q15_t)0x239f, (q15_t)0x395d, (q15_t)0x23aa, (q15_t)0x3963, (q15_t)0x23b5, (q15_t)0x3968, + (q15_t)0x23c1, (q15_t)0x396e, (q15_t)0x23cc, (q15_t)0x3973, (q15_t)0x23d7, (q15_t)0x3979, (q15_t)0x23e2, (q15_t)0x397e, + (q15_t)0x23ee, (q15_t)0x3984, (q15_t)0x23f9, (q15_t)0x3989, (q15_t)0x2404, (q15_t)0x398f, (q15_t)0x2410, (q15_t)0x3994, + (q15_t)0x241b, (q15_t)0x399a, (q15_t)0x2426, (q15_t)0x399f, (q15_t)0x2432, (q15_t)0x39a5, (q15_t)0x243d, (q15_t)0x39aa, + (q15_t)0x2448, (q15_t)0x39b0, (q15_t)0x2454, (q15_t)0x39b5, (q15_t)0x245f, (q15_t)0x39bb, (q15_t)0x246a, (q15_t)0x39c0, + (q15_t)0x2476, (q15_t)0x39c5, (q15_t)0x2481, (q15_t)0x39cb, (q15_t)0x248c, (q15_t)0x39d0, (q15_t)0x2498, (q15_t)0x39d6, + (q15_t)0x24a3, (q15_t)0x39db, (q15_t)0x24ae, (q15_t)0x39e0, (q15_t)0x24ba, (q15_t)0x39e6, (q15_t)0x24c5, (q15_t)0x39eb, + (q15_t)0x24d0, (q15_t)0x39f0, (q15_t)0x24dc, (q15_t)0x39f6, (q15_t)0x24e7, (q15_t)0x39fb, (q15_t)0x24f3, (q15_t)0x3a00, + (q15_t)0x24fe, (q15_t)0x3a06, (q15_t)0x2509, (q15_t)0x3a0b, (q15_t)0x2515, (q15_t)0x3a10, (q15_t)0x2520, (q15_t)0x3a16, + (q15_t)0x252c, (q15_t)0x3a1b, (q15_t)0x2537, (q15_t)0x3a20, (q15_t)0x2542, (q15_t)0x3a25, (q15_t)0x254e, (q15_t)0x3a2b, + (q15_t)0x2559, (q15_t)0x3a30, (q15_t)0x2565, (q15_t)0x3a35, (q15_t)0x2570, (q15_t)0x3a3a, (q15_t)0x257c, (q15_t)0x3a3f, + (q15_t)0x2587, (q15_t)0x3a45, (q15_t)0x2592, (q15_t)0x3a4a, (q15_t)0x259e, (q15_t)0x3a4f, (q15_t)0x25a9, (q15_t)0x3a54, + (q15_t)0x25b5, (q15_t)0x3a59, (q15_t)0x25c0, (q15_t)0x3a5f, (q15_t)0x25cc, (q15_t)0x3a64, (q15_t)0x25d7, (q15_t)0x3a69, + (q15_t)0x25e3, (q15_t)0x3a6e, (q15_t)0x25ee, (q15_t)0x3a73, (q15_t)0x25fa, (q15_t)0x3a78, (q15_t)0x2605, (q15_t)0x3a7d, + (q15_t)0x2611, (q15_t)0x3a82, (q15_t)0x261c, (q15_t)0x3a88, (q15_t)0x2628, (q15_t)0x3a8d, (q15_t)0x2633, (q15_t)0x3a92, + (q15_t)0x263f, (q15_t)0x3a97, (q15_t)0x264a, (q15_t)0x3a9c, (q15_t)0x2656, (q15_t)0x3aa1, (q15_t)0x2661, (q15_t)0x3aa6, + (q15_t)0x266d, (q15_t)0x3aab, (q15_t)0x2678, (q15_t)0x3ab0, (q15_t)0x2684, (q15_t)0x3ab5, (q15_t)0x268f, (q15_t)0x3aba, + (q15_t)0x269b, (q15_t)0x3abf, (q15_t)0x26a6, (q15_t)0x3ac4, (q15_t)0x26b2, (q15_t)0x3ac9, (q15_t)0x26bd, (q15_t)0x3ace, + (q15_t)0x26c9, (q15_t)0x3ad3, (q15_t)0x26d4, (q15_t)0x3ad8, (q15_t)0x26e0, (q15_t)0x3add, (q15_t)0x26ec, (q15_t)0x3ae2, + (q15_t)0x26f7, (q15_t)0x3ae6, (q15_t)0x2703, (q15_t)0x3aeb, (q15_t)0x270e, (q15_t)0x3af0, (q15_t)0x271a, (q15_t)0x3af5, + (q15_t)0x2725, (q15_t)0x3afa, (q15_t)0x2731, (q15_t)0x3aff, (q15_t)0x273d, (q15_t)0x3b04, (q15_t)0x2748, (q15_t)0x3b09, + (q15_t)0x2754, (q15_t)0x3b0e, (q15_t)0x275f, (q15_t)0x3b12, (q15_t)0x276b, (q15_t)0x3b17, (q15_t)0x2777, (q15_t)0x3b1c, + (q15_t)0x2782, (q15_t)0x3b21, (q15_t)0x278e, (q15_t)0x3b26, (q15_t)0x2799, (q15_t)0x3b2a, (q15_t)0x27a5, (q15_t)0x3b2f, + (q15_t)0x27b1, (q15_t)0x3b34, (q15_t)0x27bc, (q15_t)0x3b39, (q15_t)0x27c8, (q15_t)0x3b3e, (q15_t)0x27d3, (q15_t)0x3b42, + (q15_t)0x27df, (q15_t)0x3b47, (q15_t)0x27eb, (q15_t)0x3b4c, (q15_t)0x27f6, (q15_t)0x3b50, (q15_t)0x2802, (q15_t)0x3b55, + (q15_t)0x280e, (q15_t)0x3b5a, (q15_t)0x2819, (q15_t)0x3b5f, (q15_t)0x2825, (q15_t)0x3b63, (q15_t)0x2831, (q15_t)0x3b68, + (q15_t)0x283c, (q15_t)0x3b6d, (q15_t)0x2848, (q15_t)0x3b71, (q15_t)0x2854, (q15_t)0x3b76, (q15_t)0x285f, (q15_t)0x3b7b, + (q15_t)0x286b, (q15_t)0x3b7f, (q15_t)0x2877, (q15_t)0x3b84, (q15_t)0x2882, (q15_t)0x3b88, (q15_t)0x288e, (q15_t)0x3b8d, + (q15_t)0x289a, (q15_t)0x3b92, (q15_t)0x28a5, (q15_t)0x3b96, (q15_t)0x28b1, (q15_t)0x3b9b, (q15_t)0x28bd, (q15_t)0x3b9f, + (q15_t)0x28c9, (q15_t)0x3ba4, (q15_t)0x28d4, (q15_t)0x3ba9, (q15_t)0x28e0, (q15_t)0x3bad, (q15_t)0x28ec, (q15_t)0x3bb2, + (q15_t)0x28f7, (q15_t)0x3bb6, (q15_t)0x2903, (q15_t)0x3bbb, (q15_t)0x290f, (q15_t)0x3bbf, (q15_t)0x291b, (q15_t)0x3bc4, + (q15_t)0x2926, (q15_t)0x3bc8, (q15_t)0x2932, (q15_t)0x3bcd, (q15_t)0x293e, (q15_t)0x3bd1, (q15_t)0x294a, (q15_t)0x3bd6, + (q15_t)0x2955, (q15_t)0x3bda, (q15_t)0x2961, (q15_t)0x3bde, (q15_t)0x296d, (q15_t)0x3be3, (q15_t)0x2979, (q15_t)0x3be7, + (q15_t)0x2984, (q15_t)0x3bec, (q15_t)0x2990, (q15_t)0x3bf0, (q15_t)0x299c, (q15_t)0x3bf5, (q15_t)0x29a8, (q15_t)0x3bf9, + (q15_t)0x29b4, (q15_t)0x3bfd, (q15_t)0x29bf, (q15_t)0x3c02, (q15_t)0x29cb, (q15_t)0x3c06, (q15_t)0x29d7, (q15_t)0x3c0a, + (q15_t)0x29e3, (q15_t)0x3c0f, (q15_t)0x29ee, (q15_t)0x3c13, (q15_t)0x29fa, (q15_t)0x3c17, (q15_t)0x2a06, (q15_t)0x3c1c, + (q15_t)0x2a12, (q15_t)0x3c20, (q15_t)0x2a1e, (q15_t)0x3c24, (q15_t)0x2a29, (q15_t)0x3c29, (q15_t)0x2a35, (q15_t)0x3c2d, + (q15_t)0x2a41, (q15_t)0x3c31, (q15_t)0x2a4d, (q15_t)0x3c36, (q15_t)0x2a59, (q15_t)0x3c3a, (q15_t)0x2a65, (q15_t)0x3c3e, + (q15_t)0x2a70, (q15_t)0x3c42, (q15_t)0x2a7c, (q15_t)0x3c46, (q15_t)0x2a88, (q15_t)0x3c4b, (q15_t)0x2a94, (q15_t)0x3c4f, + (q15_t)0x2aa0, (q15_t)0x3c53, (q15_t)0x2aac, (q15_t)0x3c57, (q15_t)0x2ab7, (q15_t)0x3c5b, (q15_t)0x2ac3, (q15_t)0x3c60, + (q15_t)0x2acf, (q15_t)0x3c64, (q15_t)0x2adb, (q15_t)0x3c68, (q15_t)0x2ae7, (q15_t)0x3c6c, (q15_t)0x2af3, (q15_t)0x3c70, + (q15_t)0x2aff, (q15_t)0x3c74, (q15_t)0x2b0a, (q15_t)0x3c79, (q15_t)0x2b16, (q15_t)0x3c7d, (q15_t)0x2b22, (q15_t)0x3c81, + (q15_t)0x2b2e, (q15_t)0x3c85, (q15_t)0x2b3a, (q15_t)0x3c89, (q15_t)0x2b46, (q15_t)0x3c8d, (q15_t)0x2b52, (q15_t)0x3c91, + (q15_t)0x2b5e, (q15_t)0x3c95, (q15_t)0x2b6a, (q15_t)0x3c99, (q15_t)0x2b75, (q15_t)0x3c9d, (q15_t)0x2b81, (q15_t)0x3ca1, + (q15_t)0x2b8d, (q15_t)0x3ca5, (q15_t)0x2b99, (q15_t)0x3ca9, (q15_t)0x2ba5, (q15_t)0x3cad, (q15_t)0x2bb1, (q15_t)0x3cb1, + (q15_t)0x2bbd, (q15_t)0x3cb5, (q15_t)0x2bc9, (q15_t)0x3cb9, (q15_t)0x2bd5, (q15_t)0x3cbd, (q15_t)0x2be1, (q15_t)0x3cc1, + (q15_t)0x2bed, (q15_t)0x3cc5, (q15_t)0x2bf9, (q15_t)0x3cc9, (q15_t)0x2c05, (q15_t)0x3ccd, (q15_t)0x2c10, (q15_t)0x3cd1, + (q15_t)0x2c1c, (q15_t)0x3cd5, (q15_t)0x2c28, (q15_t)0x3cd9, (q15_t)0x2c34, (q15_t)0x3cdd, (q15_t)0x2c40, (q15_t)0x3ce0, + (q15_t)0x2c4c, (q15_t)0x3ce4, (q15_t)0x2c58, (q15_t)0x3ce8, (q15_t)0x2c64, (q15_t)0x3cec, (q15_t)0x2c70, (q15_t)0x3cf0, + (q15_t)0x2c7c, (q15_t)0x3cf4, (q15_t)0x2c88, (q15_t)0x3cf8, (q15_t)0x2c94, (q15_t)0x3cfb, (q15_t)0x2ca0, (q15_t)0x3cff, + (q15_t)0x2cac, (q15_t)0x3d03, (q15_t)0x2cb8, (q15_t)0x3d07, (q15_t)0x2cc4, (q15_t)0x3d0b, (q15_t)0x2cd0, (q15_t)0x3d0e, + (q15_t)0x2cdc, (q15_t)0x3d12, (q15_t)0x2ce8, (q15_t)0x3d16, (q15_t)0x2cf4, (q15_t)0x3d1a, (q15_t)0x2d00, (q15_t)0x3d1d, + (q15_t)0x2d0c, (q15_t)0x3d21, (q15_t)0x2d18, (q15_t)0x3d25, (q15_t)0x2d24, (q15_t)0x3d28, (q15_t)0x2d30, (q15_t)0x3d2c, + (q15_t)0x2d3c, (q15_t)0x3d30, (q15_t)0x2d48, (q15_t)0x3d34, (q15_t)0x2d54, (q15_t)0x3d37, (q15_t)0x2d60, (q15_t)0x3d3b, + (q15_t)0x2d6c, (q15_t)0x3d3f, (q15_t)0x2d78, (q15_t)0x3d42, (q15_t)0x2d84, (q15_t)0x3d46, (q15_t)0x2d90, (q15_t)0x3d49, + (q15_t)0x2d9c, (q15_t)0x3d4d, (q15_t)0x2da8, (q15_t)0x3d51, (q15_t)0x2db4, (q15_t)0x3d54, (q15_t)0x2dc0, (q15_t)0x3d58, + (q15_t)0x2dcc, (q15_t)0x3d5b, (q15_t)0x2dd8, (q15_t)0x3d5f, (q15_t)0x2de4, (q15_t)0x3d63, (q15_t)0x2df0, (q15_t)0x3d66, + (q15_t)0x2dfc, (q15_t)0x3d6a, (q15_t)0x2e09, (q15_t)0x3d6d, (q15_t)0x2e15, (q15_t)0x3d71, (q15_t)0x2e21, (q15_t)0x3d74, + (q15_t)0x2e2d, (q15_t)0x3d78, (q15_t)0x2e39, (q15_t)0x3d7b, (q15_t)0x2e45, (q15_t)0x3d7f, (q15_t)0x2e51, (q15_t)0x3d82, + (q15_t)0x2e5d, (q15_t)0x3d86, (q15_t)0x2e69, (q15_t)0x3d89, (q15_t)0x2e75, (q15_t)0x3d8d, (q15_t)0x2e81, (q15_t)0x3d90, + (q15_t)0x2e8d, (q15_t)0x3d93, (q15_t)0x2e99, (q15_t)0x3d97, (q15_t)0x2ea6, (q15_t)0x3d9a, (q15_t)0x2eb2, (q15_t)0x3d9e, + (q15_t)0x2ebe, (q15_t)0x3da1, (q15_t)0x2eca, (q15_t)0x3da4, (q15_t)0x2ed6, (q15_t)0x3da8, (q15_t)0x2ee2, (q15_t)0x3dab, + (q15_t)0x2eee, (q15_t)0x3daf, (q15_t)0x2efa, (q15_t)0x3db2, (q15_t)0x2f06, (q15_t)0x3db5, (q15_t)0x2f13, (q15_t)0x3db9, + (q15_t)0x2f1f, (q15_t)0x3dbc, (q15_t)0x2f2b, (q15_t)0x3dbf, (q15_t)0x2f37, (q15_t)0x3dc2, (q15_t)0x2f43, (q15_t)0x3dc6, + (q15_t)0x2f4f, (q15_t)0x3dc9, (q15_t)0x2f5b, (q15_t)0x3dcc, (q15_t)0x2f67, (q15_t)0x3dd0, (q15_t)0x2f74, (q15_t)0x3dd3, + (q15_t)0x2f80, (q15_t)0x3dd6, (q15_t)0x2f8c, (q15_t)0x3dd9, (q15_t)0x2f98, (q15_t)0x3ddd, (q15_t)0x2fa4, (q15_t)0x3de0, + (q15_t)0x2fb0, (q15_t)0x3de3, (q15_t)0x2fbc, (q15_t)0x3de6, (q15_t)0x2fc9, (q15_t)0x3de9, (q15_t)0x2fd5, (q15_t)0x3ded, + (q15_t)0x2fe1, (q15_t)0x3df0, (q15_t)0x2fed, (q15_t)0x3df3, (q15_t)0x2ff9, (q15_t)0x3df6, (q15_t)0x3005, (q15_t)0x3df9, + (q15_t)0x3012, (q15_t)0x3dfc, (q15_t)0x301e, (q15_t)0x3dff, (q15_t)0x302a, (q15_t)0x3e03, (q15_t)0x3036, (q15_t)0x3e06, + (q15_t)0x3042, (q15_t)0x3e09, (q15_t)0x304e, (q15_t)0x3e0c, (q15_t)0x305b, (q15_t)0x3e0f, (q15_t)0x3067, (q15_t)0x3e12, + (q15_t)0x3073, (q15_t)0x3e15, (q15_t)0x307f, (q15_t)0x3e18, (q15_t)0x308b, (q15_t)0x3e1b, (q15_t)0x3098, (q15_t)0x3e1e, + (q15_t)0x30a4, (q15_t)0x3e21, (q15_t)0x30b0, (q15_t)0x3e24, (q15_t)0x30bc, (q15_t)0x3e27, (q15_t)0x30c8, (q15_t)0x3e2a, + (q15_t)0x30d5, (q15_t)0x3e2d, (q15_t)0x30e1, (q15_t)0x3e30, (q15_t)0x30ed, (q15_t)0x3e33, (q15_t)0x30f9, (q15_t)0x3e36, + (q15_t)0x3105, (q15_t)0x3e39, (q15_t)0x3112, (q15_t)0x3e3c, (q15_t)0x311e, (q15_t)0x3e3f, (q15_t)0x312a, (q15_t)0x3e42, + (q15_t)0x3136, (q15_t)0x3e45, (q15_t)0x3143, (q15_t)0x3e48, (q15_t)0x314f, (q15_t)0x3e4a, (q15_t)0x315b, (q15_t)0x3e4d, + (q15_t)0x3167, (q15_t)0x3e50, (q15_t)0x3174, (q15_t)0x3e53, (q15_t)0x3180, (q15_t)0x3e56, (q15_t)0x318c, (q15_t)0x3e59, + (q15_t)0x3198, (q15_t)0x3e5c, (q15_t)0x31a4, (q15_t)0x3e5e, (q15_t)0x31b1, (q15_t)0x3e61, (q15_t)0x31bd, (q15_t)0x3e64, + (q15_t)0x31c9, (q15_t)0x3e67, (q15_t)0x31d5, (q15_t)0x3e6a, (q15_t)0x31e2, (q15_t)0x3e6c, (q15_t)0x31ee, (q15_t)0x3e6f, + (q15_t)0x31fa, (q15_t)0x3e72, (q15_t)0x3207, (q15_t)0x3e75, (q15_t)0x3213, (q15_t)0x3e77, (q15_t)0x321f, (q15_t)0x3e7a, + (q15_t)0x322b, (q15_t)0x3e7d, (q15_t)0x3238, (q15_t)0x3e80, (q15_t)0x3244, (q15_t)0x3e82, (q15_t)0x3250, (q15_t)0x3e85, + (q15_t)0x325c, (q15_t)0x3e88, (q15_t)0x3269, (q15_t)0x3e8a, (q15_t)0x3275, (q15_t)0x3e8d, (q15_t)0x3281, (q15_t)0x3e90, + (q15_t)0x328e, (q15_t)0x3e92, (q15_t)0x329a, (q15_t)0x3e95, (q15_t)0x32a6, (q15_t)0x3e98, (q15_t)0x32b2, (q15_t)0x3e9a, + (q15_t)0x32bf, (q15_t)0x3e9d, (q15_t)0x32cb, (q15_t)0x3e9f, (q15_t)0x32d7, (q15_t)0x3ea2, (q15_t)0x32e4, (q15_t)0x3ea5, + (q15_t)0x32f0, (q15_t)0x3ea7, (q15_t)0x32fc, (q15_t)0x3eaa, (q15_t)0x3308, (q15_t)0x3eac, (q15_t)0x3315, (q15_t)0x3eaf, + (q15_t)0x3321, (q15_t)0x3eb1, (q15_t)0x332d, (q15_t)0x3eb4, (q15_t)0x333a, (q15_t)0x3eb6, (q15_t)0x3346, (q15_t)0x3eb9, + (q15_t)0x3352, (q15_t)0x3ebb, (q15_t)0x335f, (q15_t)0x3ebe, (q15_t)0x336b, (q15_t)0x3ec0, (q15_t)0x3377, (q15_t)0x3ec3, + (q15_t)0x3384, (q15_t)0x3ec5, (q15_t)0x3390, (q15_t)0x3ec8, (q15_t)0x339c, (q15_t)0x3eca, (q15_t)0x33a9, (q15_t)0x3ecc, + (q15_t)0x33b5, (q15_t)0x3ecf, (q15_t)0x33c1, (q15_t)0x3ed1, (q15_t)0x33ce, (q15_t)0x3ed4, (q15_t)0x33da, (q15_t)0x3ed6, + (q15_t)0x33e6, (q15_t)0x3ed8, (q15_t)0x33f3, (q15_t)0x3edb, (q15_t)0x33ff, (q15_t)0x3edd, (q15_t)0x340b, (q15_t)0x3ee0, + (q15_t)0x3418, (q15_t)0x3ee2, (q15_t)0x3424, (q15_t)0x3ee4, (q15_t)0x3430, (q15_t)0x3ee7, (q15_t)0x343d, (q15_t)0x3ee9, + (q15_t)0x3449, (q15_t)0x3eeb, (q15_t)0x3455, (q15_t)0x3eed, (q15_t)0x3462, (q15_t)0x3ef0, (q15_t)0x346e, (q15_t)0x3ef2, + (q15_t)0x347b, (q15_t)0x3ef4, (q15_t)0x3487, (q15_t)0x3ef7, (q15_t)0x3493, (q15_t)0x3ef9, (q15_t)0x34a0, (q15_t)0x3efb, + (q15_t)0x34ac, (q15_t)0x3efd, (q15_t)0x34b8, (q15_t)0x3f00, (q15_t)0x34c5, (q15_t)0x3f02, (q15_t)0x34d1, (q15_t)0x3f04, + (q15_t)0x34dd, (q15_t)0x3f06, (q15_t)0x34ea, (q15_t)0x3f08, (q15_t)0x34f6, (q15_t)0x3f0a, (q15_t)0x3503, (q15_t)0x3f0d, + (q15_t)0x350f, (q15_t)0x3f0f, (q15_t)0x351b, (q15_t)0x3f11, (q15_t)0x3528, (q15_t)0x3f13, (q15_t)0x3534, (q15_t)0x3f15, + (q15_t)0x3540, (q15_t)0x3f17, (q15_t)0x354d, (q15_t)0x3f19, (q15_t)0x3559, (q15_t)0x3f1c, (q15_t)0x3566, (q15_t)0x3f1e, + (q15_t)0x3572, (q15_t)0x3f20, (q15_t)0x357e, (q15_t)0x3f22, (q15_t)0x358b, (q15_t)0x3f24, (q15_t)0x3597, (q15_t)0x3f26, + (q15_t)0x35a4, (q15_t)0x3f28, (q15_t)0x35b0, (q15_t)0x3f2a, (q15_t)0x35bc, (q15_t)0x3f2c, (q15_t)0x35c9, (q15_t)0x3f2e, + (q15_t)0x35d5, (q15_t)0x3f30, (q15_t)0x35e2, (q15_t)0x3f32, (q15_t)0x35ee, (q15_t)0x3f34, (q15_t)0x35fa, (q15_t)0x3f36, + (q15_t)0x3607, (q15_t)0x3f38, (q15_t)0x3613, (q15_t)0x3f3a, (q15_t)0x3620, (q15_t)0x3f3c, (q15_t)0x362c, (q15_t)0x3f3e, + (q15_t)0x3639, (q15_t)0x3f40, (q15_t)0x3645, (q15_t)0x3f42, (q15_t)0x3651, (q15_t)0x3f43, (q15_t)0x365e, (q15_t)0x3f45, + (q15_t)0x366a, (q15_t)0x3f47, (q15_t)0x3677, (q15_t)0x3f49, (q15_t)0x3683, (q15_t)0x3f4b, (q15_t)0x3690, (q15_t)0x3f4d, + (q15_t)0x369c, (q15_t)0x3f4f, (q15_t)0x36a8, (q15_t)0x3f51, (q15_t)0x36b5, (q15_t)0x3f52, (q15_t)0x36c1, (q15_t)0x3f54, + (q15_t)0x36ce, (q15_t)0x3f56, (q15_t)0x36da, (q15_t)0x3f58, (q15_t)0x36e7, (q15_t)0x3f5a, (q15_t)0x36f3, (q15_t)0x3f5b, + (q15_t)0x36ff, (q15_t)0x3f5d, (q15_t)0x370c, (q15_t)0x3f5f, (q15_t)0x3718, (q15_t)0x3f61, (q15_t)0x3725, (q15_t)0x3f62, + (q15_t)0x3731, (q15_t)0x3f64, (q15_t)0x373e, (q15_t)0x3f66, (q15_t)0x374a, (q15_t)0x3f68, (q15_t)0x3757, (q15_t)0x3f69, + (q15_t)0x3763, (q15_t)0x3f6b, (q15_t)0x376f, (q15_t)0x3f6d, (q15_t)0x377c, (q15_t)0x3f6e, (q15_t)0x3788, (q15_t)0x3f70, + (q15_t)0x3795, (q15_t)0x3f72, (q15_t)0x37a1, (q15_t)0x3f73, (q15_t)0x37ae, (q15_t)0x3f75, (q15_t)0x37ba, (q15_t)0x3f77, + (q15_t)0x37c7, (q15_t)0x3f78, (q15_t)0x37d3, (q15_t)0x3f7a, (q15_t)0x37e0, (q15_t)0x3f7b, (q15_t)0x37ec, (q15_t)0x3f7d, + (q15_t)0x37f9, (q15_t)0x3f7f, (q15_t)0x3805, (q15_t)0x3f80, (q15_t)0x3811, (q15_t)0x3f82, (q15_t)0x381e, (q15_t)0x3f83, + (q15_t)0x382a, (q15_t)0x3f85, (q15_t)0x3837, (q15_t)0x3f86, (q15_t)0x3843, (q15_t)0x3f88, (q15_t)0x3850, (q15_t)0x3f89, + (q15_t)0x385c, (q15_t)0x3f8b, (q15_t)0x3869, (q15_t)0x3f8c, (q15_t)0x3875, (q15_t)0x3f8e, (q15_t)0x3882, (q15_t)0x3f8f, + (q15_t)0x388e, (q15_t)0x3f91, (q15_t)0x389b, (q15_t)0x3f92, (q15_t)0x38a7, (q15_t)0x3f94, (q15_t)0x38b4, (q15_t)0x3f95, + (q15_t)0x38c0, (q15_t)0x3f97, (q15_t)0x38cd, (q15_t)0x3f98, (q15_t)0x38d9, (q15_t)0x3f99, (q15_t)0x38e6, (q15_t)0x3f9b, + (q15_t)0x38f2, (q15_t)0x3f9c, (q15_t)0x38ff, (q15_t)0x3f9e, (q15_t)0x390b, (q15_t)0x3f9f, (q15_t)0x3918, (q15_t)0x3fa0, + (q15_t)0x3924, (q15_t)0x3fa2, (q15_t)0x3931, (q15_t)0x3fa3, (q15_t)0x393d, (q15_t)0x3fa4, (q15_t)0x394a, (q15_t)0x3fa6, + (q15_t)0x3956, (q15_t)0x3fa7, (q15_t)0x3963, (q15_t)0x3fa8, (q15_t)0x396f, (q15_t)0x3faa, (q15_t)0x397c, (q15_t)0x3fab, + (q15_t)0x3988, (q15_t)0x3fac, (q15_t)0x3995, (q15_t)0x3fad, (q15_t)0x39a1, (q15_t)0x3faf, (q15_t)0x39ae, (q15_t)0x3fb0, + (q15_t)0x39ba, (q15_t)0x3fb1, (q15_t)0x39c7, (q15_t)0x3fb2, (q15_t)0x39d3, (q15_t)0x3fb4, (q15_t)0x39e0, (q15_t)0x3fb5, + (q15_t)0x39ec, (q15_t)0x3fb6, (q15_t)0x39f9, (q15_t)0x3fb7, (q15_t)0x3a05, (q15_t)0x3fb8, (q15_t)0x3a12, (q15_t)0x3fb9, + (q15_t)0x3a1e, (q15_t)0x3fbb, (q15_t)0x3a2b, (q15_t)0x3fbc, (q15_t)0x3a37, (q15_t)0x3fbd, (q15_t)0x3a44, (q15_t)0x3fbe, + (q15_t)0x3a50, (q15_t)0x3fbf, (q15_t)0x3a5d, (q15_t)0x3fc0, (q15_t)0x3a69, (q15_t)0x3fc1, (q15_t)0x3a76, (q15_t)0x3fc3, + (q15_t)0x3a82, (q15_t)0x3fc4, (q15_t)0x3a8f, (q15_t)0x3fc5, (q15_t)0x3a9b, (q15_t)0x3fc6, (q15_t)0x3aa8, (q15_t)0x3fc7, + (q15_t)0x3ab4, (q15_t)0x3fc8, (q15_t)0x3ac1, (q15_t)0x3fc9, (q15_t)0x3acd, (q15_t)0x3fca, (q15_t)0x3ada, (q15_t)0x3fcb, + (q15_t)0x3ae6, (q15_t)0x3fcc, (q15_t)0x3af3, (q15_t)0x3fcd, (q15_t)0x3b00, (q15_t)0x3fce, (q15_t)0x3b0c, (q15_t)0x3fcf, + (q15_t)0x3b19, (q15_t)0x3fd0, (q15_t)0x3b25, (q15_t)0x3fd1, (q15_t)0x3b32, (q15_t)0x3fd2, (q15_t)0x3b3e, (q15_t)0x3fd3, + (q15_t)0x3b4b, (q15_t)0x3fd4, (q15_t)0x3b57, (q15_t)0x3fd5, (q15_t)0x3b64, (q15_t)0x3fd5, (q15_t)0x3b70, (q15_t)0x3fd6, + (q15_t)0x3b7d, (q15_t)0x3fd7, (q15_t)0x3b89, (q15_t)0x3fd8, (q15_t)0x3b96, (q15_t)0x3fd9, (q15_t)0x3ba2, (q15_t)0x3fda, + (q15_t)0x3baf, (q15_t)0x3fdb, (q15_t)0x3bbc, (q15_t)0x3fdc, (q15_t)0x3bc8, (q15_t)0x3fdc, (q15_t)0x3bd5, (q15_t)0x3fdd, + (q15_t)0x3be1, (q15_t)0x3fde, (q15_t)0x3bee, (q15_t)0x3fdf, (q15_t)0x3bfa, (q15_t)0x3fe0, (q15_t)0x3c07, (q15_t)0x3fe0, + (q15_t)0x3c13, (q15_t)0x3fe1, (q15_t)0x3c20, (q15_t)0x3fe2, (q15_t)0x3c2c, (q15_t)0x3fe3, (q15_t)0x3c39, (q15_t)0x3fe3, + (q15_t)0x3c45, (q15_t)0x3fe4, (q15_t)0x3c52, (q15_t)0x3fe5, (q15_t)0x3c5f, (q15_t)0x3fe6, (q15_t)0x3c6b, (q15_t)0x3fe6, + (q15_t)0x3c78, (q15_t)0x3fe7, (q15_t)0x3c84, (q15_t)0x3fe8, (q15_t)0x3c91, (q15_t)0x3fe8, (q15_t)0x3c9d, (q15_t)0x3fe9, + (q15_t)0x3caa, (q15_t)0x3fea, (q15_t)0x3cb6, (q15_t)0x3fea, (q15_t)0x3cc3, (q15_t)0x3feb, (q15_t)0x3cd0, (q15_t)0x3fec, + (q15_t)0x3cdc, (q15_t)0x3fec, (q15_t)0x3ce9, (q15_t)0x3fed, (q15_t)0x3cf5, (q15_t)0x3fed, (q15_t)0x3d02, (q15_t)0x3fee, + (q15_t)0x3d0e, (q15_t)0x3fef, (q15_t)0x3d1b, (q15_t)0x3fef, (q15_t)0x3d27, (q15_t)0x3ff0, (q15_t)0x3d34, (q15_t)0x3ff0, + (q15_t)0x3d40, (q15_t)0x3ff1, (q15_t)0x3d4d, (q15_t)0x3ff1, (q15_t)0x3d5a, (q15_t)0x3ff2, (q15_t)0x3d66, (q15_t)0x3ff2, + (q15_t)0x3d73, (q15_t)0x3ff3, (q15_t)0x3d7f, (q15_t)0x3ff3, (q15_t)0x3d8c, (q15_t)0x3ff4, (q15_t)0x3d98, (q15_t)0x3ff4, + (q15_t)0x3da5, (q15_t)0x3ff5, (q15_t)0x3db2, (q15_t)0x3ff5, (q15_t)0x3dbe, (q15_t)0x3ff6, (q15_t)0x3dcb, (q15_t)0x3ff6, + (q15_t)0x3dd7, (q15_t)0x3ff7, (q15_t)0x3de4, (q15_t)0x3ff7, (q15_t)0x3df0, (q15_t)0x3ff7, (q15_t)0x3dfd, (q15_t)0x3ff8, + (q15_t)0x3e09, (q15_t)0x3ff8, (q15_t)0x3e16, (q15_t)0x3ff9, (q15_t)0x3e23, (q15_t)0x3ff9, (q15_t)0x3e2f, (q15_t)0x3ff9, + (q15_t)0x3e3c, (q15_t)0x3ffa, (q15_t)0x3e48, (q15_t)0x3ffa, (q15_t)0x3e55, (q15_t)0x3ffa, (q15_t)0x3e61, (q15_t)0x3ffb, + (q15_t)0x3e6e, (q15_t)0x3ffb, (q15_t)0x3e7a, (q15_t)0x3ffb, (q15_t)0x3e87, (q15_t)0x3ffc, (q15_t)0x3e94, (q15_t)0x3ffc, + (q15_t)0x3ea0, (q15_t)0x3ffc, (q15_t)0x3ead, (q15_t)0x3ffc, (q15_t)0x3eb9, (q15_t)0x3ffd, (q15_t)0x3ec6, (q15_t)0x3ffd, + (q15_t)0x3ed2, (q15_t)0x3ffd, (q15_t)0x3edf, (q15_t)0x3ffd, (q15_t)0x3eec, (q15_t)0x3ffe, (q15_t)0x3ef8, (q15_t)0x3ffe, + (q15_t)0x3f05, (q15_t)0x3ffe, (q15_t)0x3f11, (q15_t)0x3ffe, (q15_t)0x3f1e, (q15_t)0x3ffe, (q15_t)0x3f2a, (q15_t)0x3fff, + (q15_t)0x3f37, (q15_t)0x3fff, (q15_t)0x3f44, (q15_t)0x3fff, (q15_t)0x3f50, (q15_t)0x3fff, (q15_t)0x3f5d, (q15_t)0x3fff, + (q15_t)0x3f69, (q15_t)0x3fff, (q15_t)0x3f76, (q15_t)0x3fff, (q15_t)0x3f82, (q15_t)0x4000, (q15_t)0x3f8f, (q15_t)0x4000, + (q15_t)0x3f9b, (q15_t)0x4000, (q15_t)0x3fa8, (q15_t)0x4000, (q15_t)0x3fb5, (q15_t)0x4000, (q15_t)0x3fc1, (q15_t)0x4000, + (q15_t)0x3fce, (q15_t)0x4000, (q15_t)0x3fda, (q15_t)0x4000, (q15_t)0x3fe7, (q15_t)0x4000, (q15_t)0x3ff3, (q15_t)0x4000, +}; + +/** +* \par +* Generation of real_CoefB array: +* \par +* n = 4096 +*
for (i = 0; i < n; i++)
+*  {
+*    pBTable[2 * i] = 0.5 * (1.0 + sin (2 * PI / (double) (2 * n) * (double) i));
+*    pBTable[2 * i + 1] = 0.5 * (1.0 * cos (2 * PI / (double) (2 * n) * (double) i));
+*  } 
+* \par +* Convert to fixed point Q15 format +* round(pBTable[i] * pow(2, 15)) +* +*/ +const q15_t ALIGN4 realCoefBQ15[8192] = { + (q15_t)0x4000, (q15_t)0x4000, (q15_t)0x400d, (q15_t)0x4000, (q15_t)0x4019, (q15_t)0x4000, (q15_t)0x4026, (q15_t)0x4000, + (q15_t)0x4032, (q15_t)0x4000, (q15_t)0x403f, (q15_t)0x4000, (q15_t)0x404b, (q15_t)0x4000, (q15_t)0x4058, (q15_t)0x4000, + (q15_t)0x4065, (q15_t)0x4000, (q15_t)0x4071, (q15_t)0x4000, (q15_t)0x407e, (q15_t)0x4000, (q15_t)0x408a, (q15_t)0x3fff, + (q15_t)0x4097, (q15_t)0x3fff, (q15_t)0x40a3, (q15_t)0x3fff, (q15_t)0x40b0, (q15_t)0x3fff, (q15_t)0x40bc, (q15_t)0x3fff, + (q15_t)0x40c9, (q15_t)0x3fff, (q15_t)0x40d6, (q15_t)0x3fff, (q15_t)0x40e2, (q15_t)0x3ffe, (q15_t)0x40ef, (q15_t)0x3ffe, + (q15_t)0x40fb, (q15_t)0x3ffe, (q15_t)0x4108, (q15_t)0x3ffe, (q15_t)0x4114, (q15_t)0x3ffe, (q15_t)0x4121, (q15_t)0x3ffd, + (q15_t)0x412e, (q15_t)0x3ffd, (q15_t)0x413a, (q15_t)0x3ffd, (q15_t)0x4147, (q15_t)0x3ffd, (q15_t)0x4153, (q15_t)0x3ffc, + (q15_t)0x4160, (q15_t)0x3ffc, (q15_t)0x416c, (q15_t)0x3ffc, (q15_t)0x4179, (q15_t)0x3ffc, (q15_t)0x4186, (q15_t)0x3ffb, + (q15_t)0x4192, (q15_t)0x3ffb, (q15_t)0x419f, (q15_t)0x3ffb, (q15_t)0x41ab, (q15_t)0x3ffa, (q15_t)0x41b8, (q15_t)0x3ffa, + (q15_t)0x41c4, (q15_t)0x3ffa, (q15_t)0x41d1, (q15_t)0x3ff9, (q15_t)0x41dd, (q15_t)0x3ff9, (q15_t)0x41ea, (q15_t)0x3ff9, + (q15_t)0x41f7, (q15_t)0x3ff8, (q15_t)0x4203, (q15_t)0x3ff8, (q15_t)0x4210, (q15_t)0x3ff7, (q15_t)0x421c, (q15_t)0x3ff7, + (q15_t)0x4229, (q15_t)0x3ff7, (q15_t)0x4235, (q15_t)0x3ff6, (q15_t)0x4242, (q15_t)0x3ff6, (q15_t)0x424e, (q15_t)0x3ff5, + (q15_t)0x425b, (q15_t)0x3ff5, (q15_t)0x4268, (q15_t)0x3ff4, (q15_t)0x4274, (q15_t)0x3ff4, (q15_t)0x4281, (q15_t)0x3ff3, + (q15_t)0x428d, (q15_t)0x3ff3, (q15_t)0x429a, (q15_t)0x3ff2, (q15_t)0x42a6, (q15_t)0x3ff2, (q15_t)0x42b3, (q15_t)0x3ff1, + (q15_t)0x42c0, (q15_t)0x3ff1, (q15_t)0x42cc, (q15_t)0x3ff0, (q15_t)0x42d9, (q15_t)0x3ff0, (q15_t)0x42e5, (q15_t)0x3fef, + (q15_t)0x42f2, (q15_t)0x3fef, (q15_t)0x42fe, (q15_t)0x3fee, (q15_t)0x430b, (q15_t)0x3fed, (q15_t)0x4317, (q15_t)0x3fed, + (q15_t)0x4324, (q15_t)0x3fec, (q15_t)0x4330, (q15_t)0x3fec, (q15_t)0x433d, (q15_t)0x3feb, (q15_t)0x434a, (q15_t)0x3fea, + (q15_t)0x4356, (q15_t)0x3fea, (q15_t)0x4363, (q15_t)0x3fe9, (q15_t)0x436f, (q15_t)0x3fe8, (q15_t)0x437c, (q15_t)0x3fe8, + (q15_t)0x4388, (q15_t)0x3fe7, (q15_t)0x4395, (q15_t)0x3fe6, (q15_t)0x43a1, (q15_t)0x3fe6, (q15_t)0x43ae, (q15_t)0x3fe5, + (q15_t)0x43bb, (q15_t)0x3fe4, (q15_t)0x43c7, (q15_t)0x3fe3, (q15_t)0x43d4, (q15_t)0x3fe3, (q15_t)0x43e0, (q15_t)0x3fe2, + (q15_t)0x43ed, (q15_t)0x3fe1, (q15_t)0x43f9, (q15_t)0x3fe0, (q15_t)0x4406, (q15_t)0x3fe0, (q15_t)0x4412, (q15_t)0x3fdf, + (q15_t)0x441f, (q15_t)0x3fde, (q15_t)0x442b, (q15_t)0x3fdd, (q15_t)0x4438, (q15_t)0x3fdc, (q15_t)0x4444, (q15_t)0x3fdc, + (q15_t)0x4451, (q15_t)0x3fdb, (q15_t)0x445e, (q15_t)0x3fda, (q15_t)0x446a, (q15_t)0x3fd9, (q15_t)0x4477, (q15_t)0x3fd8, + (q15_t)0x4483, (q15_t)0x3fd7, (q15_t)0x4490, (q15_t)0x3fd6, (q15_t)0x449c, (q15_t)0x3fd5, (q15_t)0x44a9, (q15_t)0x3fd5, + (q15_t)0x44b5, (q15_t)0x3fd4, (q15_t)0x44c2, (q15_t)0x3fd3, (q15_t)0x44ce, (q15_t)0x3fd2, (q15_t)0x44db, (q15_t)0x3fd1, + (q15_t)0x44e7, (q15_t)0x3fd0, (q15_t)0x44f4, (q15_t)0x3fcf, (q15_t)0x4500, (q15_t)0x3fce, (q15_t)0x450d, (q15_t)0x3fcd, + (q15_t)0x451a, (q15_t)0x3fcc, (q15_t)0x4526, (q15_t)0x3fcb, (q15_t)0x4533, (q15_t)0x3fca, (q15_t)0x453f, (q15_t)0x3fc9, + (q15_t)0x454c, (q15_t)0x3fc8, (q15_t)0x4558, (q15_t)0x3fc7, (q15_t)0x4565, (q15_t)0x3fc6, (q15_t)0x4571, (q15_t)0x3fc5, + (q15_t)0x457e, (q15_t)0x3fc4, (q15_t)0x458a, (q15_t)0x3fc3, (q15_t)0x4597, (q15_t)0x3fc1, (q15_t)0x45a3, (q15_t)0x3fc0, + (q15_t)0x45b0, (q15_t)0x3fbf, (q15_t)0x45bc, (q15_t)0x3fbe, (q15_t)0x45c9, (q15_t)0x3fbd, (q15_t)0x45d5, (q15_t)0x3fbc, + (q15_t)0x45e2, (q15_t)0x3fbb, (q15_t)0x45ee, (q15_t)0x3fb9, (q15_t)0x45fb, (q15_t)0x3fb8, (q15_t)0x4607, (q15_t)0x3fb7, + (q15_t)0x4614, (q15_t)0x3fb6, (q15_t)0x4620, (q15_t)0x3fb5, (q15_t)0x462d, (q15_t)0x3fb4, (q15_t)0x4639, (q15_t)0x3fb2, + (q15_t)0x4646, (q15_t)0x3fb1, (q15_t)0x4652, (q15_t)0x3fb0, (q15_t)0x465f, (q15_t)0x3faf, (q15_t)0x466b, (q15_t)0x3fad, + (q15_t)0x4678, (q15_t)0x3fac, (q15_t)0x4684, (q15_t)0x3fab, (q15_t)0x4691, (q15_t)0x3faa, (q15_t)0x469d, (q15_t)0x3fa8, + (q15_t)0x46aa, (q15_t)0x3fa7, (q15_t)0x46b6, (q15_t)0x3fa6, (q15_t)0x46c3, (q15_t)0x3fa4, (q15_t)0x46cf, (q15_t)0x3fa3, + (q15_t)0x46dc, (q15_t)0x3fa2, (q15_t)0x46e8, (q15_t)0x3fa0, (q15_t)0x46f5, (q15_t)0x3f9f, (q15_t)0x4701, (q15_t)0x3f9e, + (q15_t)0x470e, (q15_t)0x3f9c, (q15_t)0x471a, (q15_t)0x3f9b, (q15_t)0x4727, (q15_t)0x3f99, (q15_t)0x4733, (q15_t)0x3f98, + (q15_t)0x4740, (q15_t)0x3f97, (q15_t)0x474c, (q15_t)0x3f95, (q15_t)0x4759, (q15_t)0x3f94, (q15_t)0x4765, (q15_t)0x3f92, + (q15_t)0x4772, (q15_t)0x3f91, (q15_t)0x477e, (q15_t)0x3f8f, (q15_t)0x478b, (q15_t)0x3f8e, (q15_t)0x4797, (q15_t)0x3f8c, + (q15_t)0x47a4, (q15_t)0x3f8b, (q15_t)0x47b0, (q15_t)0x3f89, (q15_t)0x47bd, (q15_t)0x3f88, (q15_t)0x47c9, (q15_t)0x3f86, + (q15_t)0x47d6, (q15_t)0x3f85, (q15_t)0x47e2, (q15_t)0x3f83, (q15_t)0x47ef, (q15_t)0x3f82, (q15_t)0x47fb, (q15_t)0x3f80, + (q15_t)0x4807, (q15_t)0x3f7f, (q15_t)0x4814, (q15_t)0x3f7d, (q15_t)0x4820, (q15_t)0x3f7b, (q15_t)0x482d, (q15_t)0x3f7a, + (q15_t)0x4839, (q15_t)0x3f78, (q15_t)0x4846, (q15_t)0x3f77, (q15_t)0x4852, (q15_t)0x3f75, (q15_t)0x485f, (q15_t)0x3f73, + (q15_t)0x486b, (q15_t)0x3f72, (q15_t)0x4878, (q15_t)0x3f70, (q15_t)0x4884, (q15_t)0x3f6e, (q15_t)0x4891, (q15_t)0x3f6d, + (q15_t)0x489d, (q15_t)0x3f6b, (q15_t)0x48a9, (q15_t)0x3f69, (q15_t)0x48b6, (q15_t)0x3f68, (q15_t)0x48c2, (q15_t)0x3f66, + (q15_t)0x48cf, (q15_t)0x3f64, (q15_t)0x48db, (q15_t)0x3f62, (q15_t)0x48e8, (q15_t)0x3f61, (q15_t)0x48f4, (q15_t)0x3f5f, + (q15_t)0x4901, (q15_t)0x3f5d, (q15_t)0x490d, (q15_t)0x3f5b, (q15_t)0x4919, (q15_t)0x3f5a, (q15_t)0x4926, (q15_t)0x3f58, + (q15_t)0x4932, (q15_t)0x3f56, (q15_t)0x493f, (q15_t)0x3f54, (q15_t)0x494b, (q15_t)0x3f52, (q15_t)0x4958, (q15_t)0x3f51, + (q15_t)0x4964, (q15_t)0x3f4f, (q15_t)0x4970, (q15_t)0x3f4d, (q15_t)0x497d, (q15_t)0x3f4b, (q15_t)0x4989, (q15_t)0x3f49, + (q15_t)0x4996, (q15_t)0x3f47, (q15_t)0x49a2, (q15_t)0x3f45, (q15_t)0x49af, (q15_t)0x3f43, (q15_t)0x49bb, (q15_t)0x3f42, + (q15_t)0x49c7, (q15_t)0x3f40, (q15_t)0x49d4, (q15_t)0x3f3e, (q15_t)0x49e0, (q15_t)0x3f3c, (q15_t)0x49ed, (q15_t)0x3f3a, + (q15_t)0x49f9, (q15_t)0x3f38, (q15_t)0x4a06, (q15_t)0x3f36, (q15_t)0x4a12, (q15_t)0x3f34, (q15_t)0x4a1e, (q15_t)0x3f32, + (q15_t)0x4a2b, (q15_t)0x3f30, (q15_t)0x4a37, (q15_t)0x3f2e, (q15_t)0x4a44, (q15_t)0x3f2c, (q15_t)0x4a50, (q15_t)0x3f2a, + (q15_t)0x4a5c, (q15_t)0x3f28, (q15_t)0x4a69, (q15_t)0x3f26, (q15_t)0x4a75, (q15_t)0x3f24, (q15_t)0x4a82, (q15_t)0x3f22, + (q15_t)0x4a8e, (q15_t)0x3f20, (q15_t)0x4a9a, (q15_t)0x3f1e, (q15_t)0x4aa7, (q15_t)0x3f1c, (q15_t)0x4ab3, (q15_t)0x3f19, + (q15_t)0x4ac0, (q15_t)0x3f17, (q15_t)0x4acc, (q15_t)0x3f15, (q15_t)0x4ad8, (q15_t)0x3f13, (q15_t)0x4ae5, (q15_t)0x3f11, + (q15_t)0x4af1, (q15_t)0x3f0f, (q15_t)0x4afd, (q15_t)0x3f0d, (q15_t)0x4b0a, (q15_t)0x3f0a, (q15_t)0x4b16, (q15_t)0x3f08, + (q15_t)0x4b23, (q15_t)0x3f06, (q15_t)0x4b2f, (q15_t)0x3f04, (q15_t)0x4b3b, (q15_t)0x3f02, (q15_t)0x4b48, (q15_t)0x3f00, + (q15_t)0x4b54, (q15_t)0x3efd, (q15_t)0x4b60, (q15_t)0x3efb, (q15_t)0x4b6d, (q15_t)0x3ef9, (q15_t)0x4b79, (q15_t)0x3ef7, + (q15_t)0x4b85, (q15_t)0x3ef4, (q15_t)0x4b92, (q15_t)0x3ef2, (q15_t)0x4b9e, (q15_t)0x3ef0, (q15_t)0x4bab, (q15_t)0x3eed, + (q15_t)0x4bb7, (q15_t)0x3eeb, (q15_t)0x4bc3, (q15_t)0x3ee9, (q15_t)0x4bd0, (q15_t)0x3ee7, (q15_t)0x4bdc, (q15_t)0x3ee4, + (q15_t)0x4be8, (q15_t)0x3ee2, (q15_t)0x4bf5, (q15_t)0x3ee0, (q15_t)0x4c01, (q15_t)0x3edd, (q15_t)0x4c0d, (q15_t)0x3edb, + (q15_t)0x4c1a, (q15_t)0x3ed8, (q15_t)0x4c26, (q15_t)0x3ed6, (q15_t)0x4c32, (q15_t)0x3ed4, (q15_t)0x4c3f, (q15_t)0x3ed1, + (q15_t)0x4c4b, (q15_t)0x3ecf, (q15_t)0x4c57, (q15_t)0x3ecc, (q15_t)0x4c64, (q15_t)0x3eca, (q15_t)0x4c70, (q15_t)0x3ec8, + (q15_t)0x4c7c, (q15_t)0x3ec5, (q15_t)0x4c89, (q15_t)0x3ec3, (q15_t)0x4c95, (q15_t)0x3ec0, (q15_t)0x4ca1, (q15_t)0x3ebe, + (q15_t)0x4cae, (q15_t)0x3ebb, (q15_t)0x4cba, (q15_t)0x3eb9, (q15_t)0x4cc6, (q15_t)0x3eb6, (q15_t)0x4cd3, (q15_t)0x3eb4, + (q15_t)0x4cdf, (q15_t)0x3eb1, (q15_t)0x4ceb, (q15_t)0x3eaf, (q15_t)0x4cf8, (q15_t)0x3eac, (q15_t)0x4d04, (q15_t)0x3eaa, + (q15_t)0x4d10, (q15_t)0x3ea7, (q15_t)0x4d1c, (q15_t)0x3ea5, (q15_t)0x4d29, (q15_t)0x3ea2, (q15_t)0x4d35, (q15_t)0x3e9f, + (q15_t)0x4d41, (q15_t)0x3e9d, (q15_t)0x4d4e, (q15_t)0x3e9a, (q15_t)0x4d5a, (q15_t)0x3e98, (q15_t)0x4d66, (q15_t)0x3e95, + (q15_t)0x4d72, (q15_t)0x3e92, (q15_t)0x4d7f, (q15_t)0x3e90, (q15_t)0x4d8b, (q15_t)0x3e8d, (q15_t)0x4d97, (q15_t)0x3e8a, + (q15_t)0x4da4, (q15_t)0x3e88, (q15_t)0x4db0, (q15_t)0x3e85, (q15_t)0x4dbc, (q15_t)0x3e82, (q15_t)0x4dc8, (q15_t)0x3e80, + (q15_t)0x4dd5, (q15_t)0x3e7d, (q15_t)0x4de1, (q15_t)0x3e7a, (q15_t)0x4ded, (q15_t)0x3e77, (q15_t)0x4df9, (q15_t)0x3e75, + (q15_t)0x4e06, (q15_t)0x3e72, (q15_t)0x4e12, (q15_t)0x3e6f, (q15_t)0x4e1e, (q15_t)0x3e6c, (q15_t)0x4e2b, (q15_t)0x3e6a, + (q15_t)0x4e37, (q15_t)0x3e67, (q15_t)0x4e43, (q15_t)0x3e64, (q15_t)0x4e4f, (q15_t)0x3e61, (q15_t)0x4e5c, (q15_t)0x3e5e, + (q15_t)0x4e68, (q15_t)0x3e5c, (q15_t)0x4e74, (q15_t)0x3e59, (q15_t)0x4e80, (q15_t)0x3e56, (q15_t)0x4e8c, (q15_t)0x3e53, + (q15_t)0x4e99, (q15_t)0x3e50, (q15_t)0x4ea5, (q15_t)0x3e4d, (q15_t)0x4eb1, (q15_t)0x3e4a, (q15_t)0x4ebd, (q15_t)0x3e48, + (q15_t)0x4eca, (q15_t)0x3e45, (q15_t)0x4ed6, (q15_t)0x3e42, (q15_t)0x4ee2, (q15_t)0x3e3f, (q15_t)0x4eee, (q15_t)0x3e3c, + (q15_t)0x4efb, (q15_t)0x3e39, (q15_t)0x4f07, (q15_t)0x3e36, (q15_t)0x4f13, (q15_t)0x3e33, (q15_t)0x4f1f, (q15_t)0x3e30, + (q15_t)0x4f2b, (q15_t)0x3e2d, (q15_t)0x4f38, (q15_t)0x3e2a, (q15_t)0x4f44, (q15_t)0x3e27, (q15_t)0x4f50, (q15_t)0x3e24, + (q15_t)0x4f5c, (q15_t)0x3e21, (q15_t)0x4f68, (q15_t)0x3e1e, (q15_t)0x4f75, (q15_t)0x3e1b, (q15_t)0x4f81, (q15_t)0x3e18, + (q15_t)0x4f8d, (q15_t)0x3e15, (q15_t)0x4f99, (q15_t)0x3e12, (q15_t)0x4fa5, (q15_t)0x3e0f, (q15_t)0x4fb2, (q15_t)0x3e0c, + (q15_t)0x4fbe, (q15_t)0x3e09, (q15_t)0x4fca, (q15_t)0x3e06, (q15_t)0x4fd6, (q15_t)0x3e03, (q15_t)0x4fe2, (q15_t)0x3dff, + (q15_t)0x4fee, (q15_t)0x3dfc, (q15_t)0x4ffb, (q15_t)0x3df9, (q15_t)0x5007, (q15_t)0x3df6, (q15_t)0x5013, (q15_t)0x3df3, + (q15_t)0x501f, (q15_t)0x3df0, (q15_t)0x502b, (q15_t)0x3ded, (q15_t)0x5037, (q15_t)0x3de9, (q15_t)0x5044, (q15_t)0x3de6, + (q15_t)0x5050, (q15_t)0x3de3, (q15_t)0x505c, (q15_t)0x3de0, (q15_t)0x5068, (q15_t)0x3ddd, (q15_t)0x5074, (q15_t)0x3dd9, + (q15_t)0x5080, (q15_t)0x3dd6, (q15_t)0x508c, (q15_t)0x3dd3, (q15_t)0x5099, (q15_t)0x3dd0, (q15_t)0x50a5, (q15_t)0x3dcc, + (q15_t)0x50b1, (q15_t)0x3dc9, (q15_t)0x50bd, (q15_t)0x3dc6, (q15_t)0x50c9, (q15_t)0x3dc2, (q15_t)0x50d5, (q15_t)0x3dbf, + (q15_t)0x50e1, (q15_t)0x3dbc, (q15_t)0x50ed, (q15_t)0x3db9, (q15_t)0x50fa, (q15_t)0x3db5, (q15_t)0x5106, (q15_t)0x3db2, + (q15_t)0x5112, (q15_t)0x3daf, (q15_t)0x511e, (q15_t)0x3dab, (q15_t)0x512a, (q15_t)0x3da8, (q15_t)0x5136, (q15_t)0x3da4, + (q15_t)0x5142, (q15_t)0x3da1, (q15_t)0x514e, (q15_t)0x3d9e, (q15_t)0x515a, (q15_t)0x3d9a, (q15_t)0x5167, (q15_t)0x3d97, + (q15_t)0x5173, (q15_t)0x3d93, (q15_t)0x517f, (q15_t)0x3d90, (q15_t)0x518b, (q15_t)0x3d8d, (q15_t)0x5197, (q15_t)0x3d89, + (q15_t)0x51a3, (q15_t)0x3d86, (q15_t)0x51af, (q15_t)0x3d82, (q15_t)0x51bb, (q15_t)0x3d7f, (q15_t)0x51c7, (q15_t)0x3d7b, + (q15_t)0x51d3, (q15_t)0x3d78, (q15_t)0x51df, (q15_t)0x3d74, (q15_t)0x51eb, (q15_t)0x3d71, (q15_t)0x51f7, (q15_t)0x3d6d, + (q15_t)0x5204, (q15_t)0x3d6a, (q15_t)0x5210, (q15_t)0x3d66, (q15_t)0x521c, (q15_t)0x3d63, (q15_t)0x5228, (q15_t)0x3d5f, + (q15_t)0x5234, (q15_t)0x3d5b, (q15_t)0x5240, (q15_t)0x3d58, (q15_t)0x524c, (q15_t)0x3d54, (q15_t)0x5258, (q15_t)0x3d51, + (q15_t)0x5264, (q15_t)0x3d4d, (q15_t)0x5270, (q15_t)0x3d49, (q15_t)0x527c, (q15_t)0x3d46, (q15_t)0x5288, (q15_t)0x3d42, + (q15_t)0x5294, (q15_t)0x3d3f, (q15_t)0x52a0, (q15_t)0x3d3b, (q15_t)0x52ac, (q15_t)0x3d37, (q15_t)0x52b8, (q15_t)0x3d34, + (q15_t)0x52c4, (q15_t)0x3d30, (q15_t)0x52d0, (q15_t)0x3d2c, (q15_t)0x52dc, (q15_t)0x3d28, (q15_t)0x52e8, (q15_t)0x3d25, + (q15_t)0x52f4, (q15_t)0x3d21, (q15_t)0x5300, (q15_t)0x3d1d, (q15_t)0x530c, (q15_t)0x3d1a, (q15_t)0x5318, (q15_t)0x3d16, + (q15_t)0x5324, (q15_t)0x3d12, (q15_t)0x5330, (q15_t)0x3d0e, (q15_t)0x533c, (q15_t)0x3d0b, (q15_t)0x5348, (q15_t)0x3d07, + (q15_t)0x5354, (q15_t)0x3d03, (q15_t)0x5360, (q15_t)0x3cff, (q15_t)0x536c, (q15_t)0x3cfb, (q15_t)0x5378, (q15_t)0x3cf8, + (q15_t)0x5384, (q15_t)0x3cf4, (q15_t)0x5390, (q15_t)0x3cf0, (q15_t)0x539c, (q15_t)0x3cec, (q15_t)0x53a8, (q15_t)0x3ce8, + (q15_t)0x53b4, (q15_t)0x3ce4, (q15_t)0x53c0, (q15_t)0x3ce0, (q15_t)0x53cc, (q15_t)0x3cdd, (q15_t)0x53d8, (q15_t)0x3cd9, + (q15_t)0x53e4, (q15_t)0x3cd5, (q15_t)0x53f0, (q15_t)0x3cd1, (q15_t)0x53fb, (q15_t)0x3ccd, (q15_t)0x5407, (q15_t)0x3cc9, + (q15_t)0x5413, (q15_t)0x3cc5, (q15_t)0x541f, (q15_t)0x3cc1, (q15_t)0x542b, (q15_t)0x3cbd, (q15_t)0x5437, (q15_t)0x3cb9, + (q15_t)0x5443, (q15_t)0x3cb5, (q15_t)0x544f, (q15_t)0x3cb1, (q15_t)0x545b, (q15_t)0x3cad, (q15_t)0x5467, (q15_t)0x3ca9, + (q15_t)0x5473, (q15_t)0x3ca5, (q15_t)0x547f, (q15_t)0x3ca1, (q15_t)0x548b, (q15_t)0x3c9d, (q15_t)0x5496, (q15_t)0x3c99, + (q15_t)0x54a2, (q15_t)0x3c95, (q15_t)0x54ae, (q15_t)0x3c91, (q15_t)0x54ba, (q15_t)0x3c8d, (q15_t)0x54c6, (q15_t)0x3c89, + (q15_t)0x54d2, (q15_t)0x3c85, (q15_t)0x54de, (q15_t)0x3c81, (q15_t)0x54ea, (q15_t)0x3c7d, (q15_t)0x54f6, (q15_t)0x3c79, + (q15_t)0x5501, (q15_t)0x3c74, (q15_t)0x550d, (q15_t)0x3c70, (q15_t)0x5519, (q15_t)0x3c6c, (q15_t)0x5525, (q15_t)0x3c68, + (q15_t)0x5531, (q15_t)0x3c64, (q15_t)0x553d, (q15_t)0x3c60, (q15_t)0x5549, (q15_t)0x3c5b, (q15_t)0x5554, (q15_t)0x3c57, + (q15_t)0x5560, (q15_t)0x3c53, (q15_t)0x556c, (q15_t)0x3c4f, (q15_t)0x5578, (q15_t)0x3c4b, (q15_t)0x5584, (q15_t)0x3c46, + (q15_t)0x5590, (q15_t)0x3c42, (q15_t)0x559b, (q15_t)0x3c3e, (q15_t)0x55a7, (q15_t)0x3c3a, (q15_t)0x55b3, (q15_t)0x3c36, + (q15_t)0x55bf, (q15_t)0x3c31, (q15_t)0x55cb, (q15_t)0x3c2d, (q15_t)0x55d7, (q15_t)0x3c29, (q15_t)0x55e2, (q15_t)0x3c24, + (q15_t)0x55ee, (q15_t)0x3c20, (q15_t)0x55fa, (q15_t)0x3c1c, (q15_t)0x5606, (q15_t)0x3c17, (q15_t)0x5612, (q15_t)0x3c13, + (q15_t)0x561d, (q15_t)0x3c0f, (q15_t)0x5629, (q15_t)0x3c0a, (q15_t)0x5635, (q15_t)0x3c06, (q15_t)0x5641, (q15_t)0x3c02, + (q15_t)0x564c, (q15_t)0x3bfd, (q15_t)0x5658, (q15_t)0x3bf9, (q15_t)0x5664, (q15_t)0x3bf5, (q15_t)0x5670, (q15_t)0x3bf0, + (q15_t)0x567c, (q15_t)0x3bec, (q15_t)0x5687, (q15_t)0x3be7, (q15_t)0x5693, (q15_t)0x3be3, (q15_t)0x569f, (q15_t)0x3bde, + (q15_t)0x56ab, (q15_t)0x3bda, (q15_t)0x56b6, (q15_t)0x3bd6, (q15_t)0x56c2, (q15_t)0x3bd1, (q15_t)0x56ce, (q15_t)0x3bcd, + (q15_t)0x56da, (q15_t)0x3bc8, (q15_t)0x56e5, (q15_t)0x3bc4, (q15_t)0x56f1, (q15_t)0x3bbf, (q15_t)0x56fd, (q15_t)0x3bbb, + (q15_t)0x5709, (q15_t)0x3bb6, (q15_t)0x5714, (q15_t)0x3bb2, (q15_t)0x5720, (q15_t)0x3bad, (q15_t)0x572c, (q15_t)0x3ba9, + (q15_t)0x5737, (q15_t)0x3ba4, (q15_t)0x5743, (q15_t)0x3b9f, (q15_t)0x574f, (q15_t)0x3b9b, (q15_t)0x575b, (q15_t)0x3b96, + (q15_t)0x5766, (q15_t)0x3b92, (q15_t)0x5772, (q15_t)0x3b8d, (q15_t)0x577e, (q15_t)0x3b88, (q15_t)0x5789, (q15_t)0x3b84, + (q15_t)0x5795, (q15_t)0x3b7f, (q15_t)0x57a1, (q15_t)0x3b7b, (q15_t)0x57ac, (q15_t)0x3b76, (q15_t)0x57b8, (q15_t)0x3b71, + (q15_t)0x57c4, (q15_t)0x3b6d, (q15_t)0x57cf, (q15_t)0x3b68, (q15_t)0x57db, (q15_t)0x3b63, (q15_t)0x57e7, (q15_t)0x3b5f, + (q15_t)0x57f2, (q15_t)0x3b5a, (q15_t)0x57fe, (q15_t)0x3b55, (q15_t)0x580a, (q15_t)0x3b50, (q15_t)0x5815, (q15_t)0x3b4c, + (q15_t)0x5821, (q15_t)0x3b47, (q15_t)0x582d, (q15_t)0x3b42, (q15_t)0x5838, (q15_t)0x3b3e, (q15_t)0x5844, (q15_t)0x3b39, + (q15_t)0x584f, (q15_t)0x3b34, (q15_t)0x585b, (q15_t)0x3b2f, (q15_t)0x5867, (q15_t)0x3b2a, (q15_t)0x5872, (q15_t)0x3b26, + (q15_t)0x587e, (q15_t)0x3b21, (q15_t)0x5889, (q15_t)0x3b1c, (q15_t)0x5895, (q15_t)0x3b17, (q15_t)0x58a1, (q15_t)0x3b12, + (q15_t)0x58ac, (q15_t)0x3b0e, (q15_t)0x58b8, (q15_t)0x3b09, (q15_t)0x58c3, (q15_t)0x3b04, (q15_t)0x58cf, (q15_t)0x3aff, + (q15_t)0x58db, (q15_t)0x3afa, (q15_t)0x58e6, (q15_t)0x3af5, (q15_t)0x58f2, (q15_t)0x3af0, (q15_t)0x58fd, (q15_t)0x3aeb, + (q15_t)0x5909, (q15_t)0x3ae6, (q15_t)0x5914, (q15_t)0x3ae2, (q15_t)0x5920, (q15_t)0x3add, (q15_t)0x592c, (q15_t)0x3ad8, + (q15_t)0x5937, (q15_t)0x3ad3, (q15_t)0x5943, (q15_t)0x3ace, (q15_t)0x594e, (q15_t)0x3ac9, (q15_t)0x595a, (q15_t)0x3ac4, + (q15_t)0x5965, (q15_t)0x3abf, (q15_t)0x5971, (q15_t)0x3aba, (q15_t)0x597c, (q15_t)0x3ab5, (q15_t)0x5988, (q15_t)0x3ab0, + (q15_t)0x5993, (q15_t)0x3aab, (q15_t)0x599f, (q15_t)0x3aa6, (q15_t)0x59aa, (q15_t)0x3aa1, (q15_t)0x59b6, (q15_t)0x3a9c, + (q15_t)0x59c1, (q15_t)0x3a97, (q15_t)0x59cd, (q15_t)0x3a92, (q15_t)0x59d8, (q15_t)0x3a8d, (q15_t)0x59e4, (q15_t)0x3a88, + (q15_t)0x59ef, (q15_t)0x3a82, (q15_t)0x59fb, (q15_t)0x3a7d, (q15_t)0x5a06, (q15_t)0x3a78, (q15_t)0x5a12, (q15_t)0x3a73, + (q15_t)0x5a1d, (q15_t)0x3a6e, (q15_t)0x5a29, (q15_t)0x3a69, (q15_t)0x5a34, (q15_t)0x3a64, (q15_t)0x5a40, (q15_t)0x3a5f, + (q15_t)0x5a4b, (q15_t)0x3a59, (q15_t)0x5a57, (q15_t)0x3a54, (q15_t)0x5a62, (q15_t)0x3a4f, (q15_t)0x5a6e, (q15_t)0x3a4a, + (q15_t)0x5a79, (q15_t)0x3a45, (q15_t)0x5a84, (q15_t)0x3a3f, (q15_t)0x5a90, (q15_t)0x3a3a, (q15_t)0x5a9b, (q15_t)0x3a35, + (q15_t)0x5aa7, (q15_t)0x3a30, (q15_t)0x5ab2, (q15_t)0x3a2b, (q15_t)0x5abe, (q15_t)0x3a25, (q15_t)0x5ac9, (q15_t)0x3a20, + (q15_t)0x5ad4, (q15_t)0x3a1b, (q15_t)0x5ae0, (q15_t)0x3a16, (q15_t)0x5aeb, (q15_t)0x3a10, (q15_t)0x5af7, (q15_t)0x3a0b, + (q15_t)0x5b02, (q15_t)0x3a06, (q15_t)0x5b0d, (q15_t)0x3a00, (q15_t)0x5b19, (q15_t)0x39fb, (q15_t)0x5b24, (q15_t)0x39f6, + (q15_t)0x5b30, (q15_t)0x39f0, (q15_t)0x5b3b, (q15_t)0x39eb, (q15_t)0x5b46, (q15_t)0x39e6, (q15_t)0x5b52, (q15_t)0x39e0, + (q15_t)0x5b5d, (q15_t)0x39db, (q15_t)0x5b68, (q15_t)0x39d6, (q15_t)0x5b74, (q15_t)0x39d0, (q15_t)0x5b7f, (q15_t)0x39cb, + (q15_t)0x5b8a, (q15_t)0x39c5, (q15_t)0x5b96, (q15_t)0x39c0, (q15_t)0x5ba1, (q15_t)0x39bb, (q15_t)0x5bac, (q15_t)0x39b5, + (q15_t)0x5bb8, (q15_t)0x39b0, (q15_t)0x5bc3, (q15_t)0x39aa, (q15_t)0x5bce, (q15_t)0x39a5, (q15_t)0x5bda, (q15_t)0x399f, + (q15_t)0x5be5, (q15_t)0x399a, (q15_t)0x5bf0, (q15_t)0x3994, (q15_t)0x5bfc, (q15_t)0x398f, (q15_t)0x5c07, (q15_t)0x3989, + (q15_t)0x5c12, (q15_t)0x3984, (q15_t)0x5c1e, (q15_t)0x397e, (q15_t)0x5c29, (q15_t)0x3979, (q15_t)0x5c34, (q15_t)0x3973, + (q15_t)0x5c3f, (q15_t)0x396e, (q15_t)0x5c4b, (q15_t)0x3968, (q15_t)0x5c56, (q15_t)0x3963, (q15_t)0x5c61, (q15_t)0x395d, + (q15_t)0x5c6c, (q15_t)0x3958, (q15_t)0x5c78, (q15_t)0x3952, (q15_t)0x5c83, (q15_t)0x394c, (q15_t)0x5c8e, (q15_t)0x3947, + (q15_t)0x5c99, (q15_t)0x3941, (q15_t)0x5ca5, (q15_t)0x393b, (q15_t)0x5cb0, (q15_t)0x3936, (q15_t)0x5cbb, (q15_t)0x3930, + (q15_t)0x5cc6, (q15_t)0x392b, (q15_t)0x5cd2, (q15_t)0x3925, (q15_t)0x5cdd, (q15_t)0x391f, (q15_t)0x5ce8, (q15_t)0x391a, + (q15_t)0x5cf3, (q15_t)0x3914, (q15_t)0x5cff, (q15_t)0x390e, (q15_t)0x5d0a, (q15_t)0x3909, (q15_t)0x5d15, (q15_t)0x3903, + (q15_t)0x5d20, (q15_t)0x38fd, (q15_t)0x5d2b, (q15_t)0x38f7, (q15_t)0x5d36, (q15_t)0x38f2, (q15_t)0x5d42, (q15_t)0x38ec, + (q15_t)0x5d4d, (q15_t)0x38e6, (q15_t)0x5d58, (q15_t)0x38e0, (q15_t)0x5d63, (q15_t)0x38db, (q15_t)0x5d6e, (q15_t)0x38d5, + (q15_t)0x5d79, (q15_t)0x38cf, (q15_t)0x5d85, (q15_t)0x38c9, (q15_t)0x5d90, (q15_t)0x38c3, (q15_t)0x5d9b, (q15_t)0x38be, + (q15_t)0x5da6, (q15_t)0x38b8, (q15_t)0x5db1, (q15_t)0x38b2, (q15_t)0x5dbc, (q15_t)0x38ac, (q15_t)0x5dc7, (q15_t)0x38a6, + (q15_t)0x5dd3, (q15_t)0x38a1, (q15_t)0x5dde, (q15_t)0x389b, (q15_t)0x5de9, (q15_t)0x3895, (q15_t)0x5df4, (q15_t)0x388f, + (q15_t)0x5dff, (q15_t)0x3889, (q15_t)0x5e0a, (q15_t)0x3883, (q15_t)0x5e15, (q15_t)0x387d, (q15_t)0x5e20, (q15_t)0x3877, + (q15_t)0x5e2b, (q15_t)0x3871, (q15_t)0x5e36, (q15_t)0x386b, (q15_t)0x5e42, (q15_t)0x3866, (q15_t)0x5e4d, (q15_t)0x3860, + (q15_t)0x5e58, (q15_t)0x385a, (q15_t)0x5e63, (q15_t)0x3854, (q15_t)0x5e6e, (q15_t)0x384e, (q15_t)0x5e79, (q15_t)0x3848, + (q15_t)0x5e84, (q15_t)0x3842, (q15_t)0x5e8f, (q15_t)0x383c, (q15_t)0x5e9a, (q15_t)0x3836, (q15_t)0x5ea5, (q15_t)0x3830, + (q15_t)0x5eb0, (q15_t)0x382a, (q15_t)0x5ebb, (q15_t)0x3824, (q15_t)0x5ec6, (q15_t)0x381e, (q15_t)0x5ed1, (q15_t)0x3818, + (q15_t)0x5edc, (q15_t)0x3812, (q15_t)0x5ee7, (q15_t)0x380b, (q15_t)0x5ef2, (q15_t)0x3805, (q15_t)0x5efd, (q15_t)0x37ff, + (q15_t)0x5f08, (q15_t)0x37f9, (q15_t)0x5f13, (q15_t)0x37f3, (q15_t)0x5f1e, (q15_t)0x37ed, (q15_t)0x5f29, (q15_t)0x37e7, + (q15_t)0x5f34, (q15_t)0x37e1, (q15_t)0x5f3f, (q15_t)0x37db, (q15_t)0x5f4a, (q15_t)0x37d5, (q15_t)0x5f55, (q15_t)0x37ce, + (q15_t)0x5f60, (q15_t)0x37c8, (q15_t)0x5f6b, (q15_t)0x37c2, (q15_t)0x5f76, (q15_t)0x37bc, (q15_t)0x5f81, (q15_t)0x37b6, + (q15_t)0x5f8c, (q15_t)0x37b0, (q15_t)0x5f97, (q15_t)0x37a9, (q15_t)0x5fa2, (q15_t)0x37a3, (q15_t)0x5fac, (q15_t)0x379d, + (q15_t)0x5fb7, (q15_t)0x3797, (q15_t)0x5fc2, (q15_t)0x3790, (q15_t)0x5fcd, (q15_t)0x378a, (q15_t)0x5fd8, (q15_t)0x3784, + (q15_t)0x5fe3, (q15_t)0x377e, (q15_t)0x5fee, (q15_t)0x3777, (q15_t)0x5ff9, (q15_t)0x3771, (q15_t)0x6004, (q15_t)0x376b, + (q15_t)0x600f, (q15_t)0x3765, (q15_t)0x6019, (q15_t)0x375e, (q15_t)0x6024, (q15_t)0x3758, (q15_t)0x602f, (q15_t)0x3752, + (q15_t)0x603a, (q15_t)0x374b, (q15_t)0x6045, (q15_t)0x3745, (q15_t)0x6050, (q15_t)0x373f, (q15_t)0x605b, (q15_t)0x3738, + (q15_t)0x6065, (q15_t)0x3732, (q15_t)0x6070, (q15_t)0x372c, (q15_t)0x607b, (q15_t)0x3725, (q15_t)0x6086, (q15_t)0x371f, + (q15_t)0x6091, (q15_t)0x3718, (q15_t)0x609b, (q15_t)0x3712, (q15_t)0x60a6, (q15_t)0x370c, (q15_t)0x60b1, (q15_t)0x3705, + (q15_t)0x60bc, (q15_t)0x36ff, (q15_t)0x60c7, (q15_t)0x36f8, (q15_t)0x60d1, (q15_t)0x36f2, (q15_t)0x60dc, (q15_t)0x36eb, + (q15_t)0x60e7, (q15_t)0x36e5, (q15_t)0x60f2, (q15_t)0x36df, (q15_t)0x60fd, (q15_t)0x36d8, (q15_t)0x6107, (q15_t)0x36d2, + (q15_t)0x6112, (q15_t)0x36cb, (q15_t)0x611d, (q15_t)0x36c5, (q15_t)0x6128, (q15_t)0x36be, (q15_t)0x6132, (q15_t)0x36b8, + (q15_t)0x613d, (q15_t)0x36b1, (q15_t)0x6148, (q15_t)0x36ab, (q15_t)0x6153, (q15_t)0x36a4, (q15_t)0x615d, (q15_t)0x369d, + (q15_t)0x6168, (q15_t)0x3697, (q15_t)0x6173, (q15_t)0x3690, (q15_t)0x617d, (q15_t)0x368a, (q15_t)0x6188, (q15_t)0x3683, + (q15_t)0x6193, (q15_t)0x367d, (q15_t)0x619e, (q15_t)0x3676, (q15_t)0x61a8, (q15_t)0x366f, (q15_t)0x61b3, (q15_t)0x3669, + (q15_t)0x61be, (q15_t)0x3662, (q15_t)0x61c8, (q15_t)0x365c, (q15_t)0x61d3, (q15_t)0x3655, (q15_t)0x61de, (q15_t)0x364e, + (q15_t)0x61e8, (q15_t)0x3648, (q15_t)0x61f3, (q15_t)0x3641, (q15_t)0x61fe, (q15_t)0x363a, (q15_t)0x6208, (q15_t)0x3634, + (q15_t)0x6213, (q15_t)0x362d, (q15_t)0x621e, (q15_t)0x3626, (q15_t)0x6228, (q15_t)0x3620, (q15_t)0x6233, (q15_t)0x3619, + (q15_t)0x623d, (q15_t)0x3612, (q15_t)0x6248, (q15_t)0x360b, (q15_t)0x6253, (q15_t)0x3605, (q15_t)0x625d, (q15_t)0x35fe, + (q15_t)0x6268, (q15_t)0x35f7, (q15_t)0x6272, (q15_t)0x35f0, (q15_t)0x627d, (q15_t)0x35ea, (q15_t)0x6288, (q15_t)0x35e3, + (q15_t)0x6292, (q15_t)0x35dc, (q15_t)0x629d, (q15_t)0x35d5, (q15_t)0x62a7, (q15_t)0x35ce, (q15_t)0x62b2, (q15_t)0x35c8, + (q15_t)0x62bc, (q15_t)0x35c1, (q15_t)0x62c7, (q15_t)0x35ba, (q15_t)0x62d2, (q15_t)0x35b3, (q15_t)0x62dc, (q15_t)0x35ac, + (q15_t)0x62e7, (q15_t)0x35a5, (q15_t)0x62f1, (q15_t)0x359f, (q15_t)0x62fc, (q15_t)0x3598, (q15_t)0x6306, (q15_t)0x3591, + (q15_t)0x6311, (q15_t)0x358a, (q15_t)0x631b, (q15_t)0x3583, (q15_t)0x6326, (q15_t)0x357c, (q15_t)0x6330, (q15_t)0x3575, + (q15_t)0x633b, (q15_t)0x356e, (q15_t)0x6345, (q15_t)0x3567, (q15_t)0x6350, (q15_t)0x3561, (q15_t)0x635a, (q15_t)0x355a, + (q15_t)0x6365, (q15_t)0x3553, (q15_t)0x636f, (q15_t)0x354c, (q15_t)0x637a, (q15_t)0x3545, (q15_t)0x6384, (q15_t)0x353e, + (q15_t)0x638e, (q15_t)0x3537, (q15_t)0x6399, (q15_t)0x3530, (q15_t)0x63a3, (q15_t)0x3529, (q15_t)0x63ae, (q15_t)0x3522, + (q15_t)0x63b8, (q15_t)0x351b, (q15_t)0x63c3, (q15_t)0x3514, (q15_t)0x63cd, (q15_t)0x350d, (q15_t)0x63d7, (q15_t)0x3506, + (q15_t)0x63e2, (q15_t)0x34ff, (q15_t)0x63ec, (q15_t)0x34f8, (q15_t)0x63f7, (q15_t)0x34f1, (q15_t)0x6401, (q15_t)0x34ea, + (q15_t)0x640b, (q15_t)0x34e2, (q15_t)0x6416, (q15_t)0x34db, (q15_t)0x6420, (q15_t)0x34d4, (q15_t)0x642b, (q15_t)0x34cd, + (q15_t)0x6435, (q15_t)0x34c6, (q15_t)0x643f, (q15_t)0x34bf, (q15_t)0x644a, (q15_t)0x34b8, (q15_t)0x6454, (q15_t)0x34b1, + (q15_t)0x645e, (q15_t)0x34aa, (q15_t)0x6469, (q15_t)0x34a2, (q15_t)0x6473, (q15_t)0x349b, (q15_t)0x647d, (q15_t)0x3494, + (q15_t)0x6488, (q15_t)0x348d, (q15_t)0x6492, (q15_t)0x3486, (q15_t)0x649c, (q15_t)0x347f, (q15_t)0x64a7, (q15_t)0x3477, + (q15_t)0x64b1, (q15_t)0x3470, (q15_t)0x64bb, (q15_t)0x3469, (q15_t)0x64c5, (q15_t)0x3462, (q15_t)0x64d0, (q15_t)0x345b, + (q15_t)0x64da, (q15_t)0x3453, (q15_t)0x64e4, (q15_t)0x344c, (q15_t)0x64ef, (q15_t)0x3445, (q15_t)0x64f9, (q15_t)0x343e, + (q15_t)0x6503, (q15_t)0x3436, (q15_t)0x650d, (q15_t)0x342f, (q15_t)0x6518, (q15_t)0x3428, (q15_t)0x6522, (q15_t)0x3420, + (q15_t)0x652c, (q15_t)0x3419, (q15_t)0x6536, (q15_t)0x3412, (q15_t)0x6541, (q15_t)0x340b, (q15_t)0x654b, (q15_t)0x3403, + (q15_t)0x6555, (q15_t)0x33fc, (q15_t)0x655f, (q15_t)0x33f5, (q15_t)0x6569, (q15_t)0x33ed, (q15_t)0x6574, (q15_t)0x33e6, + (q15_t)0x657e, (q15_t)0x33df, (q15_t)0x6588, (q15_t)0x33d7, (q15_t)0x6592, (q15_t)0x33d0, (q15_t)0x659c, (q15_t)0x33c8, + (q15_t)0x65a6, (q15_t)0x33c1, (q15_t)0x65b1, (q15_t)0x33ba, (q15_t)0x65bb, (q15_t)0x33b2, (q15_t)0x65c5, (q15_t)0x33ab, + (q15_t)0x65cf, (q15_t)0x33a3, (q15_t)0x65d9, (q15_t)0x339c, (q15_t)0x65e3, (q15_t)0x3395, (q15_t)0x65ed, (q15_t)0x338d, + (q15_t)0x65f8, (q15_t)0x3386, (q15_t)0x6602, (q15_t)0x337e, (q15_t)0x660c, (q15_t)0x3377, (q15_t)0x6616, (q15_t)0x336f, + (q15_t)0x6620, (q15_t)0x3368, (q15_t)0x662a, (q15_t)0x3360, (q15_t)0x6634, (q15_t)0x3359, (q15_t)0x663e, (q15_t)0x3351, + (q15_t)0x6648, (q15_t)0x334a, (q15_t)0x6652, (q15_t)0x3342, (q15_t)0x665c, (q15_t)0x333b, (q15_t)0x6666, (q15_t)0x3333, + (q15_t)0x6671, (q15_t)0x332c, (q15_t)0x667b, (q15_t)0x3324, (q15_t)0x6685, (q15_t)0x331d, (q15_t)0x668f, (q15_t)0x3315, + (q15_t)0x6699, (q15_t)0x330d, (q15_t)0x66a3, (q15_t)0x3306, (q15_t)0x66ad, (q15_t)0x32fe, (q15_t)0x66b7, (q15_t)0x32f7, + (q15_t)0x66c1, (q15_t)0x32ef, (q15_t)0x66cb, (q15_t)0x32e7, (q15_t)0x66d5, (q15_t)0x32e0, (q15_t)0x66df, (q15_t)0x32d8, + (q15_t)0x66e9, (q15_t)0x32d0, (q15_t)0x66f3, (q15_t)0x32c9, (q15_t)0x66fd, (q15_t)0x32c1, (q15_t)0x6707, (q15_t)0x32ba, + (q15_t)0x6711, (q15_t)0x32b2, (q15_t)0x671a, (q15_t)0x32aa, (q15_t)0x6724, (q15_t)0x32a3, (q15_t)0x672e, (q15_t)0x329b, + (q15_t)0x6738, (q15_t)0x3293, (q15_t)0x6742, (q15_t)0x328b, (q15_t)0x674c, (q15_t)0x3284, (q15_t)0x6756, (q15_t)0x327c, + (q15_t)0x6760, (q15_t)0x3274, (q15_t)0x676a, (q15_t)0x326d, (q15_t)0x6774, (q15_t)0x3265, (q15_t)0x677e, (q15_t)0x325d, + (q15_t)0x6788, (q15_t)0x3255, (q15_t)0x6791, (q15_t)0x324e, (q15_t)0x679b, (q15_t)0x3246, (q15_t)0x67a5, (q15_t)0x323e, + (q15_t)0x67af, (q15_t)0x3236, (q15_t)0x67b9, (q15_t)0x322e, (q15_t)0x67c3, (q15_t)0x3227, (q15_t)0x67cd, (q15_t)0x321f, + (q15_t)0x67d6, (q15_t)0x3217, (q15_t)0x67e0, (q15_t)0x320f, (q15_t)0x67ea, (q15_t)0x3207, (q15_t)0x67f4, (q15_t)0x31ff, + (q15_t)0x67fe, (q15_t)0x31f8, (q15_t)0x6808, (q15_t)0x31f0, (q15_t)0x6811, (q15_t)0x31e8, (q15_t)0x681b, (q15_t)0x31e0, + (q15_t)0x6825, (q15_t)0x31d8, (q15_t)0x682f, (q15_t)0x31d0, (q15_t)0x6838, (q15_t)0x31c8, (q15_t)0x6842, (q15_t)0x31c0, + (q15_t)0x684c, (q15_t)0x31b9, (q15_t)0x6856, (q15_t)0x31b1, (q15_t)0x6860, (q15_t)0x31a9, (q15_t)0x6869, (q15_t)0x31a1, + (q15_t)0x6873, (q15_t)0x3199, (q15_t)0x687d, (q15_t)0x3191, (q15_t)0x6886, (q15_t)0x3189, (q15_t)0x6890, (q15_t)0x3181, + (q15_t)0x689a, (q15_t)0x3179, (q15_t)0x68a4, (q15_t)0x3171, (q15_t)0x68ad, (q15_t)0x3169, (q15_t)0x68b7, (q15_t)0x3161, + (q15_t)0x68c1, (q15_t)0x3159, (q15_t)0x68ca, (q15_t)0x3151, (q15_t)0x68d4, (q15_t)0x3149, (q15_t)0x68de, (q15_t)0x3141, + (q15_t)0x68e7, (q15_t)0x3139, (q15_t)0x68f1, (q15_t)0x3131, (q15_t)0x68fb, (q15_t)0x3129, (q15_t)0x6904, (q15_t)0x3121, + (q15_t)0x690e, (q15_t)0x3119, (q15_t)0x6918, (q15_t)0x3111, (q15_t)0x6921, (q15_t)0x3109, (q15_t)0x692b, (q15_t)0x3101, + (q15_t)0x6935, (q15_t)0x30f9, (q15_t)0x693e, (q15_t)0x30f0, (q15_t)0x6948, (q15_t)0x30e8, (q15_t)0x6951, (q15_t)0x30e0, + (q15_t)0x695b, (q15_t)0x30d8, (q15_t)0x6965, (q15_t)0x30d0, (q15_t)0x696e, (q15_t)0x30c8, (q15_t)0x6978, (q15_t)0x30c0, + (q15_t)0x6981, (q15_t)0x30b8, (q15_t)0x698b, (q15_t)0x30af, (q15_t)0x6994, (q15_t)0x30a7, (q15_t)0x699e, (q15_t)0x309f, + (q15_t)0x69a7, (q15_t)0x3097, (q15_t)0x69b1, (q15_t)0x308f, (q15_t)0x69bb, (q15_t)0x3087, (q15_t)0x69c4, (q15_t)0x307e, + (q15_t)0x69ce, (q15_t)0x3076, (q15_t)0x69d7, (q15_t)0x306e, (q15_t)0x69e1, (q15_t)0x3066, (q15_t)0x69ea, (q15_t)0x305d, + (q15_t)0x69f4, (q15_t)0x3055, (q15_t)0x69fd, (q15_t)0x304d, (q15_t)0x6a07, (q15_t)0x3045, (q15_t)0x6a10, (q15_t)0x303c, + (q15_t)0x6a1a, (q15_t)0x3034, (q15_t)0x6a23, (q15_t)0x302c, (q15_t)0x6a2c, (q15_t)0x3024, (q15_t)0x6a36, (q15_t)0x301b, + (q15_t)0x6a3f, (q15_t)0x3013, (q15_t)0x6a49, (q15_t)0x300b, (q15_t)0x6a52, (q15_t)0x3002, (q15_t)0x6a5c, (q15_t)0x2ffa, + (q15_t)0x6a65, (q15_t)0x2ff2, (q15_t)0x6a6e, (q15_t)0x2fea, (q15_t)0x6a78, (q15_t)0x2fe1, (q15_t)0x6a81, (q15_t)0x2fd9, + (q15_t)0x6a8b, (q15_t)0x2fd0, (q15_t)0x6a94, (q15_t)0x2fc8, (q15_t)0x6a9d, (q15_t)0x2fc0, (q15_t)0x6aa7, (q15_t)0x2fb7, + (q15_t)0x6ab0, (q15_t)0x2faf, (q15_t)0x6ab9, (q15_t)0x2fa7, (q15_t)0x6ac3, (q15_t)0x2f9e, (q15_t)0x6acc, (q15_t)0x2f96, + (q15_t)0x6ad6, (q15_t)0x2f8d, (q15_t)0x6adf, (q15_t)0x2f85, (q15_t)0x6ae8, (q15_t)0x2f7d, (q15_t)0x6af2, (q15_t)0x2f74, + (q15_t)0x6afb, (q15_t)0x2f6c, (q15_t)0x6b04, (q15_t)0x2f63, (q15_t)0x6b0d, (q15_t)0x2f5b, (q15_t)0x6b17, (q15_t)0x2f52, + (q15_t)0x6b20, (q15_t)0x2f4a, (q15_t)0x6b29, (q15_t)0x2f41, (q15_t)0x6b33, (q15_t)0x2f39, (q15_t)0x6b3c, (q15_t)0x2f30, + (q15_t)0x6b45, (q15_t)0x2f28, (q15_t)0x6b4e, (q15_t)0x2f20, (q15_t)0x6b58, (q15_t)0x2f17, (q15_t)0x6b61, (q15_t)0x2f0e, + (q15_t)0x6b6a, (q15_t)0x2f06, (q15_t)0x6b73, (q15_t)0x2efd, (q15_t)0x6b7d, (q15_t)0x2ef5, (q15_t)0x6b86, (q15_t)0x2eec, + (q15_t)0x6b8f, (q15_t)0x2ee4, (q15_t)0x6b98, (q15_t)0x2edb, (q15_t)0x6ba1, (q15_t)0x2ed3, (q15_t)0x6bab, (q15_t)0x2eca, + (q15_t)0x6bb4, (q15_t)0x2ec2, (q15_t)0x6bbd, (q15_t)0x2eb9, (q15_t)0x6bc6, (q15_t)0x2eb0, (q15_t)0x6bcf, (q15_t)0x2ea8, + (q15_t)0x6bd8, (q15_t)0x2e9f, (q15_t)0x6be2, (q15_t)0x2e97, (q15_t)0x6beb, (q15_t)0x2e8e, (q15_t)0x6bf4, (q15_t)0x2e85, + (q15_t)0x6bfd, (q15_t)0x2e7d, (q15_t)0x6c06, (q15_t)0x2e74, (q15_t)0x6c0f, (q15_t)0x2e6b, (q15_t)0x6c18, (q15_t)0x2e63, + (q15_t)0x6c21, (q15_t)0x2e5a, (q15_t)0x6c2b, (q15_t)0x2e51, (q15_t)0x6c34, (q15_t)0x2e49, (q15_t)0x6c3d, (q15_t)0x2e40, + (q15_t)0x6c46, (q15_t)0x2e37, (q15_t)0x6c4f, (q15_t)0x2e2f, (q15_t)0x6c58, (q15_t)0x2e26, (q15_t)0x6c61, (q15_t)0x2e1d, + (q15_t)0x6c6a, (q15_t)0x2e15, (q15_t)0x6c73, (q15_t)0x2e0c, (q15_t)0x6c7c, (q15_t)0x2e03, (q15_t)0x6c85, (q15_t)0x2dfa, + (q15_t)0x6c8e, (q15_t)0x2df2, (q15_t)0x6c97, (q15_t)0x2de9, (q15_t)0x6ca0, (q15_t)0x2de0, (q15_t)0x6ca9, (q15_t)0x2dd7, + (q15_t)0x6cb2, (q15_t)0x2dcf, (q15_t)0x6cbb, (q15_t)0x2dc6, (q15_t)0x6cc4, (q15_t)0x2dbd, (q15_t)0x6ccd, (q15_t)0x2db4, + (q15_t)0x6cd6, (q15_t)0x2dab, (q15_t)0x6cdf, (q15_t)0x2da3, (q15_t)0x6ce8, (q15_t)0x2d9a, (q15_t)0x6cf1, (q15_t)0x2d91, + (q15_t)0x6cfa, (q15_t)0x2d88, (q15_t)0x6d03, (q15_t)0x2d7f, (q15_t)0x6d0c, (q15_t)0x2d76, (q15_t)0x6d15, (q15_t)0x2d6e, + (q15_t)0x6d1e, (q15_t)0x2d65, (q15_t)0x6d27, (q15_t)0x2d5c, (q15_t)0x6d2f, (q15_t)0x2d53, (q15_t)0x6d38, (q15_t)0x2d4a, + (q15_t)0x6d41, (q15_t)0x2d41, (q15_t)0x6d4a, (q15_t)0x2d38, (q15_t)0x6d53, (q15_t)0x2d2f, (q15_t)0x6d5c, (q15_t)0x2d27, + (q15_t)0x6d65, (q15_t)0x2d1e, (q15_t)0x6d6e, (q15_t)0x2d15, (q15_t)0x6d76, (q15_t)0x2d0c, (q15_t)0x6d7f, (q15_t)0x2d03, + (q15_t)0x6d88, (q15_t)0x2cfa, (q15_t)0x6d91, (q15_t)0x2cf1, (q15_t)0x6d9a, (q15_t)0x2ce8, (q15_t)0x6da3, (q15_t)0x2cdf, + (q15_t)0x6dab, (q15_t)0x2cd6, (q15_t)0x6db4, (q15_t)0x2ccd, (q15_t)0x6dbd, (q15_t)0x2cc4, (q15_t)0x6dc6, (q15_t)0x2cbb, + (q15_t)0x6dcf, (q15_t)0x2cb2, (q15_t)0x6dd7, (q15_t)0x2ca9, (q15_t)0x6de0, (q15_t)0x2ca0, (q15_t)0x6de9, (q15_t)0x2c97, + (q15_t)0x6df2, (q15_t)0x2c8e, (q15_t)0x6dfa, (q15_t)0x2c85, (q15_t)0x6e03, (q15_t)0x2c7c, (q15_t)0x6e0c, (q15_t)0x2c73, + (q15_t)0x6e15, (q15_t)0x2c6a, (q15_t)0x6e1d, (q15_t)0x2c61, (q15_t)0x6e26, (q15_t)0x2c58, (q15_t)0x6e2f, (q15_t)0x2c4f, + (q15_t)0x6e37, (q15_t)0x2c46, (q15_t)0x6e40, (q15_t)0x2c3d, (q15_t)0x6e49, (q15_t)0x2c34, (q15_t)0x6e51, (q15_t)0x2c2b, + (q15_t)0x6e5a, (q15_t)0x2c21, (q15_t)0x6e63, (q15_t)0x2c18, (q15_t)0x6e6b, (q15_t)0x2c0f, (q15_t)0x6e74, (q15_t)0x2c06, + (q15_t)0x6e7d, (q15_t)0x2bfd, (q15_t)0x6e85, (q15_t)0x2bf4, (q15_t)0x6e8e, (q15_t)0x2beb, (q15_t)0x6e97, (q15_t)0x2be2, + (q15_t)0x6e9f, (q15_t)0x2bd8, (q15_t)0x6ea8, (q15_t)0x2bcf, (q15_t)0x6eb0, (q15_t)0x2bc6, (q15_t)0x6eb9, (q15_t)0x2bbd, + (q15_t)0x6ec2, (q15_t)0x2bb4, (q15_t)0x6eca, (q15_t)0x2bab, (q15_t)0x6ed3, (q15_t)0x2ba1, (q15_t)0x6edb, (q15_t)0x2b98, + (q15_t)0x6ee4, (q15_t)0x2b8f, (q15_t)0x6eec, (q15_t)0x2b86, (q15_t)0x6ef5, (q15_t)0x2b7d, (q15_t)0x6efd, (q15_t)0x2b73, + (q15_t)0x6f06, (q15_t)0x2b6a, (q15_t)0x6f0e, (q15_t)0x2b61, (q15_t)0x6f17, (q15_t)0x2b58, (q15_t)0x6f20, (q15_t)0x2b4e, + (q15_t)0x6f28, (q15_t)0x2b45, (q15_t)0x6f30, (q15_t)0x2b3c, (q15_t)0x6f39, (q15_t)0x2b33, (q15_t)0x6f41, (q15_t)0x2b29, + (q15_t)0x6f4a, (q15_t)0x2b20, (q15_t)0x6f52, (q15_t)0x2b17, (q15_t)0x6f5b, (q15_t)0x2b0d, (q15_t)0x6f63, (q15_t)0x2b04, + (q15_t)0x6f6c, (q15_t)0x2afb, (q15_t)0x6f74, (q15_t)0x2af2, (q15_t)0x6f7d, (q15_t)0x2ae8, (q15_t)0x6f85, (q15_t)0x2adf, + (q15_t)0x6f8d, (q15_t)0x2ad6, (q15_t)0x6f96, (q15_t)0x2acc, (q15_t)0x6f9e, (q15_t)0x2ac3, (q15_t)0x6fa7, (q15_t)0x2ab9, + (q15_t)0x6faf, (q15_t)0x2ab0, (q15_t)0x6fb7, (q15_t)0x2aa7, (q15_t)0x6fc0, (q15_t)0x2a9d, (q15_t)0x6fc8, (q15_t)0x2a94, + (q15_t)0x6fd0, (q15_t)0x2a8b, (q15_t)0x6fd9, (q15_t)0x2a81, (q15_t)0x6fe1, (q15_t)0x2a78, (q15_t)0x6fea, (q15_t)0x2a6e, + (q15_t)0x6ff2, (q15_t)0x2a65, (q15_t)0x6ffa, (q15_t)0x2a5c, (q15_t)0x7002, (q15_t)0x2a52, (q15_t)0x700b, (q15_t)0x2a49, + (q15_t)0x7013, (q15_t)0x2a3f, (q15_t)0x701b, (q15_t)0x2a36, (q15_t)0x7024, (q15_t)0x2a2c, (q15_t)0x702c, (q15_t)0x2a23, + (q15_t)0x7034, (q15_t)0x2a1a, (q15_t)0x703c, (q15_t)0x2a10, (q15_t)0x7045, (q15_t)0x2a07, (q15_t)0x704d, (q15_t)0x29fd, + (q15_t)0x7055, (q15_t)0x29f4, (q15_t)0x705d, (q15_t)0x29ea, (q15_t)0x7066, (q15_t)0x29e1, (q15_t)0x706e, (q15_t)0x29d7, + (q15_t)0x7076, (q15_t)0x29ce, (q15_t)0x707e, (q15_t)0x29c4, (q15_t)0x7087, (q15_t)0x29bb, (q15_t)0x708f, (q15_t)0x29b1, + (q15_t)0x7097, (q15_t)0x29a7, (q15_t)0x709f, (q15_t)0x299e, (q15_t)0x70a7, (q15_t)0x2994, (q15_t)0x70af, (q15_t)0x298b, + (q15_t)0x70b8, (q15_t)0x2981, (q15_t)0x70c0, (q15_t)0x2978, (q15_t)0x70c8, (q15_t)0x296e, (q15_t)0x70d0, (q15_t)0x2965, + (q15_t)0x70d8, (q15_t)0x295b, (q15_t)0x70e0, (q15_t)0x2951, (q15_t)0x70e8, (q15_t)0x2948, (q15_t)0x70f0, (q15_t)0x293e, + (q15_t)0x70f9, (q15_t)0x2935, (q15_t)0x7101, (q15_t)0x292b, (q15_t)0x7109, (q15_t)0x2921, (q15_t)0x7111, (q15_t)0x2918, + (q15_t)0x7119, (q15_t)0x290e, (q15_t)0x7121, (q15_t)0x2904, (q15_t)0x7129, (q15_t)0x28fb, (q15_t)0x7131, (q15_t)0x28f1, + (q15_t)0x7139, (q15_t)0x28e7, (q15_t)0x7141, (q15_t)0x28de, (q15_t)0x7149, (q15_t)0x28d4, (q15_t)0x7151, (q15_t)0x28ca, + (q15_t)0x7159, (q15_t)0x28c1, (q15_t)0x7161, (q15_t)0x28b7, (q15_t)0x7169, (q15_t)0x28ad, (q15_t)0x7171, (q15_t)0x28a4, + (q15_t)0x7179, (q15_t)0x289a, (q15_t)0x7181, (q15_t)0x2890, (q15_t)0x7189, (q15_t)0x2886, (q15_t)0x7191, (q15_t)0x287d, + (q15_t)0x7199, (q15_t)0x2873, (q15_t)0x71a1, (q15_t)0x2869, (q15_t)0x71a9, (q15_t)0x2860, (q15_t)0x71b1, (q15_t)0x2856, + (q15_t)0x71b9, (q15_t)0x284c, (q15_t)0x71c0, (q15_t)0x2842, (q15_t)0x71c8, (q15_t)0x2838, (q15_t)0x71d0, (q15_t)0x282f, + (q15_t)0x71d8, (q15_t)0x2825, (q15_t)0x71e0, (q15_t)0x281b, (q15_t)0x71e8, (q15_t)0x2811, (q15_t)0x71f0, (q15_t)0x2808, + (q15_t)0x71f8, (q15_t)0x27fe, (q15_t)0x71ff, (q15_t)0x27f4, (q15_t)0x7207, (q15_t)0x27ea, (q15_t)0x720f, (q15_t)0x27e0, + (q15_t)0x7217, (q15_t)0x27d6, (q15_t)0x721f, (q15_t)0x27cd, (q15_t)0x7227, (q15_t)0x27c3, (q15_t)0x722e, (q15_t)0x27b9, + (q15_t)0x7236, (q15_t)0x27af, (q15_t)0x723e, (q15_t)0x27a5, (q15_t)0x7246, (q15_t)0x279b, (q15_t)0x724e, (q15_t)0x2791, + (q15_t)0x7255, (q15_t)0x2788, (q15_t)0x725d, (q15_t)0x277e, (q15_t)0x7265, (q15_t)0x2774, (q15_t)0x726d, (q15_t)0x276a, + (q15_t)0x7274, (q15_t)0x2760, (q15_t)0x727c, (q15_t)0x2756, (q15_t)0x7284, (q15_t)0x274c, (q15_t)0x728b, (q15_t)0x2742, + (q15_t)0x7293, (q15_t)0x2738, (q15_t)0x729b, (q15_t)0x272e, (q15_t)0x72a3, (q15_t)0x2724, (q15_t)0x72aa, (q15_t)0x271a, + (q15_t)0x72b2, (q15_t)0x2711, (q15_t)0x72ba, (q15_t)0x2707, (q15_t)0x72c1, (q15_t)0x26fd, (q15_t)0x72c9, (q15_t)0x26f3, + (q15_t)0x72d0, (q15_t)0x26e9, (q15_t)0x72d8, (q15_t)0x26df, (q15_t)0x72e0, (q15_t)0x26d5, (q15_t)0x72e7, (q15_t)0x26cb, + (q15_t)0x72ef, (q15_t)0x26c1, (q15_t)0x72f7, (q15_t)0x26b7, (q15_t)0x72fe, (q15_t)0x26ad, (q15_t)0x7306, (q15_t)0x26a3, + (q15_t)0x730d, (q15_t)0x2699, (q15_t)0x7315, (q15_t)0x268f, (q15_t)0x731d, (q15_t)0x2685, (q15_t)0x7324, (q15_t)0x267b, + (q15_t)0x732c, (q15_t)0x2671, (q15_t)0x7333, (q15_t)0x2666, (q15_t)0x733b, (q15_t)0x265c, (q15_t)0x7342, (q15_t)0x2652, + (q15_t)0x734a, (q15_t)0x2648, (q15_t)0x7351, (q15_t)0x263e, (q15_t)0x7359, (q15_t)0x2634, (q15_t)0x7360, (q15_t)0x262a, + (q15_t)0x7368, (q15_t)0x2620, (q15_t)0x736f, (q15_t)0x2616, (q15_t)0x7377, (q15_t)0x260c, (q15_t)0x737e, (q15_t)0x2602, + (q15_t)0x7386, (q15_t)0x25f8, (q15_t)0x738d, (q15_t)0x25ed, (q15_t)0x7395, (q15_t)0x25e3, (q15_t)0x739c, (q15_t)0x25d9, + (q15_t)0x73a3, (q15_t)0x25cf, (q15_t)0x73ab, (q15_t)0x25c5, (q15_t)0x73b2, (q15_t)0x25bb, (q15_t)0x73ba, (q15_t)0x25b1, + (q15_t)0x73c1, (q15_t)0x25a6, (q15_t)0x73c8, (q15_t)0x259c, (q15_t)0x73d0, (q15_t)0x2592, (q15_t)0x73d7, (q15_t)0x2588, + (q15_t)0x73df, (q15_t)0x257e, (q15_t)0x73e6, (q15_t)0x2574, (q15_t)0x73ed, (q15_t)0x2569, (q15_t)0x73f5, (q15_t)0x255f, + (q15_t)0x73fc, (q15_t)0x2555, (q15_t)0x7403, (q15_t)0x254b, (q15_t)0x740b, (q15_t)0x2541, (q15_t)0x7412, (q15_t)0x2536, + (q15_t)0x7419, (q15_t)0x252c, (q15_t)0x7420, (q15_t)0x2522, (q15_t)0x7428, (q15_t)0x2518, (q15_t)0x742f, (q15_t)0x250d, + (q15_t)0x7436, (q15_t)0x2503, (q15_t)0x743e, (q15_t)0x24f9, (q15_t)0x7445, (q15_t)0x24ef, (q15_t)0x744c, (q15_t)0x24e4, + (q15_t)0x7453, (q15_t)0x24da, (q15_t)0x745b, (q15_t)0x24d0, (q15_t)0x7462, (q15_t)0x24c5, (q15_t)0x7469, (q15_t)0x24bb, + (q15_t)0x7470, (q15_t)0x24b1, (q15_t)0x7477, (q15_t)0x24a7, (q15_t)0x747f, (q15_t)0x249c, (q15_t)0x7486, (q15_t)0x2492, + (q15_t)0x748d, (q15_t)0x2488, (q15_t)0x7494, (q15_t)0x247d, (q15_t)0x749b, (q15_t)0x2473, (q15_t)0x74a2, (q15_t)0x2469, + (q15_t)0x74aa, (q15_t)0x245e, (q15_t)0x74b1, (q15_t)0x2454, (q15_t)0x74b8, (q15_t)0x244a, (q15_t)0x74bf, (q15_t)0x243f, + (q15_t)0x74c6, (q15_t)0x2435, (q15_t)0x74cd, (q15_t)0x242b, (q15_t)0x74d4, (q15_t)0x2420, (q15_t)0x74db, (q15_t)0x2416, + (q15_t)0x74e2, (q15_t)0x240b, (q15_t)0x74ea, (q15_t)0x2401, (q15_t)0x74f1, (q15_t)0x23f7, (q15_t)0x74f8, (q15_t)0x23ec, + (q15_t)0x74ff, (q15_t)0x23e2, (q15_t)0x7506, (q15_t)0x23d7, (q15_t)0x750d, (q15_t)0x23cd, (q15_t)0x7514, (q15_t)0x23c3, + (q15_t)0x751b, (q15_t)0x23b8, (q15_t)0x7522, (q15_t)0x23ae, (q15_t)0x7529, (q15_t)0x23a3, (q15_t)0x7530, (q15_t)0x2399, + (q15_t)0x7537, (q15_t)0x238e, (q15_t)0x753e, (q15_t)0x2384, (q15_t)0x7545, (q15_t)0x237a, (q15_t)0x754c, (q15_t)0x236f, + (q15_t)0x7553, (q15_t)0x2365, (q15_t)0x755a, (q15_t)0x235a, (q15_t)0x7561, (q15_t)0x2350, (q15_t)0x7567, (q15_t)0x2345, + (q15_t)0x756e, (q15_t)0x233b, (q15_t)0x7575, (q15_t)0x2330, (q15_t)0x757c, (q15_t)0x2326, (q15_t)0x7583, (q15_t)0x231b, + (q15_t)0x758a, (q15_t)0x2311, (q15_t)0x7591, (q15_t)0x2306, (q15_t)0x7598, (q15_t)0x22fc, (q15_t)0x759f, (q15_t)0x22f1, + (q15_t)0x75a5, (q15_t)0x22e7, (q15_t)0x75ac, (q15_t)0x22dc, (q15_t)0x75b3, (q15_t)0x22d2, (q15_t)0x75ba, (q15_t)0x22c7, + (q15_t)0x75c1, (q15_t)0x22bc, (q15_t)0x75c8, (q15_t)0x22b2, (q15_t)0x75ce, (q15_t)0x22a7, (q15_t)0x75d5, (q15_t)0x229d, + (q15_t)0x75dc, (q15_t)0x2292, (q15_t)0x75e3, (q15_t)0x2288, (q15_t)0x75ea, (q15_t)0x227d, (q15_t)0x75f0, (q15_t)0x2272, + (q15_t)0x75f7, (q15_t)0x2268, (q15_t)0x75fe, (q15_t)0x225d, (q15_t)0x7605, (q15_t)0x2253, (q15_t)0x760b, (q15_t)0x2248, + (q15_t)0x7612, (q15_t)0x223d, (q15_t)0x7619, (q15_t)0x2233, (q15_t)0x7620, (q15_t)0x2228, (q15_t)0x7626, (q15_t)0x221e, + (q15_t)0x762d, (q15_t)0x2213, (q15_t)0x7634, (q15_t)0x2208, (q15_t)0x763a, (q15_t)0x21fe, (q15_t)0x7641, (q15_t)0x21f3, + (q15_t)0x7648, (q15_t)0x21e8, (q15_t)0x764e, (q15_t)0x21de, (q15_t)0x7655, (q15_t)0x21d3, (q15_t)0x765c, (q15_t)0x21c8, + (q15_t)0x7662, (q15_t)0x21be, (q15_t)0x7669, (q15_t)0x21b3, (q15_t)0x766f, (q15_t)0x21a8, (q15_t)0x7676, (q15_t)0x219e, + (q15_t)0x767d, (q15_t)0x2193, (q15_t)0x7683, (q15_t)0x2188, (q15_t)0x768a, (q15_t)0x217d, (q15_t)0x7690, (q15_t)0x2173, + (q15_t)0x7697, (q15_t)0x2168, (q15_t)0x769d, (q15_t)0x215d, (q15_t)0x76a4, (q15_t)0x2153, (q15_t)0x76ab, (q15_t)0x2148, + (q15_t)0x76b1, (q15_t)0x213d, (q15_t)0x76b8, (q15_t)0x2132, (q15_t)0x76be, (q15_t)0x2128, (q15_t)0x76c5, (q15_t)0x211d, + (q15_t)0x76cb, (q15_t)0x2112, (q15_t)0x76d2, (q15_t)0x2107, (q15_t)0x76d8, (q15_t)0x20fd, (q15_t)0x76df, (q15_t)0x20f2, + (q15_t)0x76e5, (q15_t)0x20e7, (q15_t)0x76eb, (q15_t)0x20dc, (q15_t)0x76f2, (q15_t)0x20d1, (q15_t)0x76f8, (q15_t)0x20c7, + (q15_t)0x76ff, (q15_t)0x20bc, (q15_t)0x7705, (q15_t)0x20b1, (q15_t)0x770c, (q15_t)0x20a6, (q15_t)0x7712, (q15_t)0x209b, + (q15_t)0x7718, (q15_t)0x2091, (q15_t)0x771f, (q15_t)0x2086, (q15_t)0x7725, (q15_t)0x207b, (q15_t)0x772c, (q15_t)0x2070, + (q15_t)0x7732, (q15_t)0x2065, (q15_t)0x7738, (q15_t)0x205b, (q15_t)0x773f, (q15_t)0x2050, (q15_t)0x7745, (q15_t)0x2045, + (q15_t)0x774b, (q15_t)0x203a, (q15_t)0x7752, (q15_t)0x202f, (q15_t)0x7758, (q15_t)0x2024, (q15_t)0x775e, (q15_t)0x2019, + (q15_t)0x7765, (q15_t)0x200f, (q15_t)0x776b, (q15_t)0x2004, (q15_t)0x7771, (q15_t)0x1ff9, (q15_t)0x7777, (q15_t)0x1fee, + (q15_t)0x777e, (q15_t)0x1fe3, (q15_t)0x7784, (q15_t)0x1fd8, (q15_t)0x778a, (q15_t)0x1fcd, (q15_t)0x7790, (q15_t)0x1fc2, + (q15_t)0x7797, (q15_t)0x1fb7, (q15_t)0x779d, (q15_t)0x1fac, (q15_t)0x77a3, (q15_t)0x1fa2, (q15_t)0x77a9, (q15_t)0x1f97, + (q15_t)0x77b0, (q15_t)0x1f8c, (q15_t)0x77b6, (q15_t)0x1f81, (q15_t)0x77bc, (q15_t)0x1f76, (q15_t)0x77c2, (q15_t)0x1f6b, + (q15_t)0x77c8, (q15_t)0x1f60, (q15_t)0x77ce, (q15_t)0x1f55, (q15_t)0x77d5, (q15_t)0x1f4a, (q15_t)0x77db, (q15_t)0x1f3f, + (q15_t)0x77e1, (q15_t)0x1f34, (q15_t)0x77e7, (q15_t)0x1f29, (q15_t)0x77ed, (q15_t)0x1f1e, (q15_t)0x77f3, (q15_t)0x1f13, + (q15_t)0x77f9, (q15_t)0x1f08, (q15_t)0x77ff, (q15_t)0x1efd, (q15_t)0x7805, (q15_t)0x1ef2, (q15_t)0x780b, (q15_t)0x1ee7, + (q15_t)0x7812, (q15_t)0x1edc, (q15_t)0x7818, (q15_t)0x1ed1, (q15_t)0x781e, (q15_t)0x1ec6, (q15_t)0x7824, (q15_t)0x1ebb, + (q15_t)0x782a, (q15_t)0x1eb0, (q15_t)0x7830, (q15_t)0x1ea5, (q15_t)0x7836, (q15_t)0x1e9a, (q15_t)0x783c, (q15_t)0x1e8f, + (q15_t)0x7842, (q15_t)0x1e84, (q15_t)0x7848, (q15_t)0x1e79, (q15_t)0x784e, (q15_t)0x1e6e, (q15_t)0x7854, (q15_t)0x1e63, + (q15_t)0x785a, (q15_t)0x1e58, (q15_t)0x7860, (q15_t)0x1e4d, (q15_t)0x7866, (q15_t)0x1e42, (q15_t)0x786b, (q15_t)0x1e36, + (q15_t)0x7871, (q15_t)0x1e2b, (q15_t)0x7877, (q15_t)0x1e20, (q15_t)0x787d, (q15_t)0x1e15, (q15_t)0x7883, (q15_t)0x1e0a, + (q15_t)0x7889, (q15_t)0x1dff, (q15_t)0x788f, (q15_t)0x1df4, (q15_t)0x7895, (q15_t)0x1de9, (q15_t)0x789b, (q15_t)0x1dde, + (q15_t)0x78a1, (q15_t)0x1dd3, (q15_t)0x78a6, (q15_t)0x1dc7, (q15_t)0x78ac, (q15_t)0x1dbc, (q15_t)0x78b2, (q15_t)0x1db1, + (q15_t)0x78b8, (q15_t)0x1da6, (q15_t)0x78be, (q15_t)0x1d9b, (q15_t)0x78c3, (q15_t)0x1d90, (q15_t)0x78c9, (q15_t)0x1d85, + (q15_t)0x78cf, (q15_t)0x1d79, (q15_t)0x78d5, (q15_t)0x1d6e, (q15_t)0x78db, (q15_t)0x1d63, (q15_t)0x78e0, (q15_t)0x1d58, + (q15_t)0x78e6, (q15_t)0x1d4d, (q15_t)0x78ec, (q15_t)0x1d42, (q15_t)0x78f2, (q15_t)0x1d36, (q15_t)0x78f7, (q15_t)0x1d2b, + (q15_t)0x78fd, (q15_t)0x1d20, (q15_t)0x7903, (q15_t)0x1d15, (q15_t)0x7909, (q15_t)0x1d0a, (q15_t)0x790e, (q15_t)0x1cff, + (q15_t)0x7914, (q15_t)0x1cf3, (q15_t)0x791a, (q15_t)0x1ce8, (q15_t)0x791f, (q15_t)0x1cdd, (q15_t)0x7925, (q15_t)0x1cd2, + (q15_t)0x792b, (q15_t)0x1cc6, (q15_t)0x7930, (q15_t)0x1cbb, (q15_t)0x7936, (q15_t)0x1cb0, (q15_t)0x793b, (q15_t)0x1ca5, + (q15_t)0x7941, (q15_t)0x1c99, (q15_t)0x7947, (q15_t)0x1c8e, (q15_t)0x794c, (q15_t)0x1c83, (q15_t)0x7952, (q15_t)0x1c78, + (q15_t)0x7958, (q15_t)0x1c6c, (q15_t)0x795d, (q15_t)0x1c61, (q15_t)0x7963, (q15_t)0x1c56, (q15_t)0x7968, (q15_t)0x1c4b, + (q15_t)0x796e, (q15_t)0x1c3f, (q15_t)0x7973, (q15_t)0x1c34, (q15_t)0x7979, (q15_t)0x1c29, (q15_t)0x797e, (q15_t)0x1c1e, + (q15_t)0x7984, (q15_t)0x1c12, (q15_t)0x7989, (q15_t)0x1c07, (q15_t)0x798f, (q15_t)0x1bfc, (q15_t)0x7994, (q15_t)0x1bf0, + (q15_t)0x799a, (q15_t)0x1be5, (q15_t)0x799f, (q15_t)0x1bda, (q15_t)0x79a5, (q15_t)0x1bce, (q15_t)0x79aa, (q15_t)0x1bc3, + (q15_t)0x79b0, (q15_t)0x1bb8, (q15_t)0x79b5, (q15_t)0x1bac, (q15_t)0x79bb, (q15_t)0x1ba1, (q15_t)0x79c0, (q15_t)0x1b96, + (q15_t)0x79c5, (q15_t)0x1b8a, (q15_t)0x79cb, (q15_t)0x1b7f, (q15_t)0x79d0, (q15_t)0x1b74, (q15_t)0x79d6, (q15_t)0x1b68, + (q15_t)0x79db, (q15_t)0x1b5d, (q15_t)0x79e0, (q15_t)0x1b52, (q15_t)0x79e6, (q15_t)0x1b46, (q15_t)0x79eb, (q15_t)0x1b3b, + (q15_t)0x79f0, (q15_t)0x1b30, (q15_t)0x79f6, (q15_t)0x1b24, (q15_t)0x79fb, (q15_t)0x1b19, (q15_t)0x7a00, (q15_t)0x1b0d, + (q15_t)0x7a06, (q15_t)0x1b02, (q15_t)0x7a0b, (q15_t)0x1af7, (q15_t)0x7a10, (q15_t)0x1aeb, (q15_t)0x7a16, (q15_t)0x1ae0, + (q15_t)0x7a1b, (q15_t)0x1ad4, (q15_t)0x7a20, (q15_t)0x1ac9, (q15_t)0x7a25, (q15_t)0x1abe, (q15_t)0x7a2b, (q15_t)0x1ab2, + (q15_t)0x7a30, (q15_t)0x1aa7, (q15_t)0x7a35, (q15_t)0x1a9b, (q15_t)0x7a3a, (q15_t)0x1a90, (q15_t)0x7a3f, (q15_t)0x1a84, + (q15_t)0x7a45, (q15_t)0x1a79, (q15_t)0x7a4a, (q15_t)0x1a6e, (q15_t)0x7a4f, (q15_t)0x1a62, (q15_t)0x7a54, (q15_t)0x1a57, + (q15_t)0x7a59, (q15_t)0x1a4b, (q15_t)0x7a5f, (q15_t)0x1a40, (q15_t)0x7a64, (q15_t)0x1a34, (q15_t)0x7a69, (q15_t)0x1a29, + (q15_t)0x7a6e, (q15_t)0x1a1d, (q15_t)0x7a73, (q15_t)0x1a12, (q15_t)0x7a78, (q15_t)0x1a06, (q15_t)0x7a7d, (q15_t)0x19fb, + (q15_t)0x7a82, (q15_t)0x19ef, (q15_t)0x7a88, (q15_t)0x19e4, (q15_t)0x7a8d, (q15_t)0x19d8, (q15_t)0x7a92, (q15_t)0x19cd, + (q15_t)0x7a97, (q15_t)0x19c1, (q15_t)0x7a9c, (q15_t)0x19b6, (q15_t)0x7aa1, (q15_t)0x19aa, (q15_t)0x7aa6, (q15_t)0x199f, + (q15_t)0x7aab, (q15_t)0x1993, (q15_t)0x7ab0, (q15_t)0x1988, (q15_t)0x7ab5, (q15_t)0x197c, (q15_t)0x7aba, (q15_t)0x1971, + (q15_t)0x7abf, (q15_t)0x1965, (q15_t)0x7ac4, (q15_t)0x195a, (q15_t)0x7ac9, (q15_t)0x194e, (q15_t)0x7ace, (q15_t)0x1943, + (q15_t)0x7ad3, (q15_t)0x1937, (q15_t)0x7ad8, (q15_t)0x192c, (q15_t)0x7add, (q15_t)0x1920, (q15_t)0x7ae2, (q15_t)0x1914, + (q15_t)0x7ae6, (q15_t)0x1909, (q15_t)0x7aeb, (q15_t)0x18fd, (q15_t)0x7af0, (q15_t)0x18f2, (q15_t)0x7af5, (q15_t)0x18e6, + (q15_t)0x7afa, (q15_t)0x18db, (q15_t)0x7aff, (q15_t)0x18cf, (q15_t)0x7b04, (q15_t)0x18c3, (q15_t)0x7b09, (q15_t)0x18b8, + (q15_t)0x7b0e, (q15_t)0x18ac, (q15_t)0x7b12, (q15_t)0x18a1, (q15_t)0x7b17, (q15_t)0x1895, (q15_t)0x7b1c, (q15_t)0x1889, + (q15_t)0x7b21, (q15_t)0x187e, (q15_t)0x7b26, (q15_t)0x1872, (q15_t)0x7b2a, (q15_t)0x1867, (q15_t)0x7b2f, (q15_t)0x185b, + (q15_t)0x7b34, (q15_t)0x184f, (q15_t)0x7b39, (q15_t)0x1844, (q15_t)0x7b3e, (q15_t)0x1838, (q15_t)0x7b42, (q15_t)0x182d, + (q15_t)0x7b47, (q15_t)0x1821, (q15_t)0x7b4c, (q15_t)0x1815, (q15_t)0x7b50, (q15_t)0x180a, (q15_t)0x7b55, (q15_t)0x17fe, + (q15_t)0x7b5a, (q15_t)0x17f2, (q15_t)0x7b5f, (q15_t)0x17e7, (q15_t)0x7b63, (q15_t)0x17db, (q15_t)0x7b68, (q15_t)0x17cf, + (q15_t)0x7b6d, (q15_t)0x17c4, (q15_t)0x7b71, (q15_t)0x17b8, (q15_t)0x7b76, (q15_t)0x17ac, (q15_t)0x7b7b, (q15_t)0x17a1, + (q15_t)0x7b7f, (q15_t)0x1795, (q15_t)0x7b84, (q15_t)0x1789, (q15_t)0x7b88, (q15_t)0x177e, (q15_t)0x7b8d, (q15_t)0x1772, + (q15_t)0x7b92, (q15_t)0x1766, (q15_t)0x7b96, (q15_t)0x175b, (q15_t)0x7b9b, (q15_t)0x174f, (q15_t)0x7b9f, (q15_t)0x1743, + (q15_t)0x7ba4, (q15_t)0x1737, (q15_t)0x7ba9, (q15_t)0x172c, (q15_t)0x7bad, (q15_t)0x1720, (q15_t)0x7bb2, (q15_t)0x1714, + (q15_t)0x7bb6, (q15_t)0x1709, (q15_t)0x7bbb, (q15_t)0x16fd, (q15_t)0x7bbf, (q15_t)0x16f1, (q15_t)0x7bc4, (q15_t)0x16e5, + (q15_t)0x7bc8, (q15_t)0x16da, (q15_t)0x7bcd, (q15_t)0x16ce, (q15_t)0x7bd1, (q15_t)0x16c2, (q15_t)0x7bd6, (q15_t)0x16b6, + (q15_t)0x7bda, (q15_t)0x16ab, (q15_t)0x7bde, (q15_t)0x169f, (q15_t)0x7be3, (q15_t)0x1693, (q15_t)0x7be7, (q15_t)0x1687, + (q15_t)0x7bec, (q15_t)0x167c, (q15_t)0x7bf0, (q15_t)0x1670, (q15_t)0x7bf5, (q15_t)0x1664, (q15_t)0x7bf9, (q15_t)0x1658, + (q15_t)0x7bfd, (q15_t)0x164c, (q15_t)0x7c02, (q15_t)0x1641, (q15_t)0x7c06, (q15_t)0x1635, (q15_t)0x7c0a, (q15_t)0x1629, + (q15_t)0x7c0f, (q15_t)0x161d, (q15_t)0x7c13, (q15_t)0x1612, (q15_t)0x7c17, (q15_t)0x1606, (q15_t)0x7c1c, (q15_t)0x15fa, + (q15_t)0x7c20, (q15_t)0x15ee, (q15_t)0x7c24, (q15_t)0x15e2, (q15_t)0x7c29, (q15_t)0x15d7, (q15_t)0x7c2d, (q15_t)0x15cb, + (q15_t)0x7c31, (q15_t)0x15bf, (q15_t)0x7c36, (q15_t)0x15b3, (q15_t)0x7c3a, (q15_t)0x15a7, (q15_t)0x7c3e, (q15_t)0x159b, + (q15_t)0x7c42, (q15_t)0x1590, (q15_t)0x7c46, (q15_t)0x1584, (q15_t)0x7c4b, (q15_t)0x1578, (q15_t)0x7c4f, (q15_t)0x156c, + (q15_t)0x7c53, (q15_t)0x1560, (q15_t)0x7c57, (q15_t)0x1554, (q15_t)0x7c5b, (q15_t)0x1549, (q15_t)0x7c60, (q15_t)0x153d, + (q15_t)0x7c64, (q15_t)0x1531, (q15_t)0x7c68, (q15_t)0x1525, (q15_t)0x7c6c, (q15_t)0x1519, (q15_t)0x7c70, (q15_t)0x150d, + (q15_t)0x7c74, (q15_t)0x1501, (q15_t)0x7c79, (q15_t)0x14f6, (q15_t)0x7c7d, (q15_t)0x14ea, (q15_t)0x7c81, (q15_t)0x14de, + (q15_t)0x7c85, (q15_t)0x14d2, (q15_t)0x7c89, (q15_t)0x14c6, (q15_t)0x7c8d, (q15_t)0x14ba, (q15_t)0x7c91, (q15_t)0x14ae, + (q15_t)0x7c95, (q15_t)0x14a2, (q15_t)0x7c99, (q15_t)0x1496, (q15_t)0x7c9d, (q15_t)0x148b, (q15_t)0x7ca1, (q15_t)0x147f, + (q15_t)0x7ca5, (q15_t)0x1473, (q15_t)0x7ca9, (q15_t)0x1467, (q15_t)0x7cad, (q15_t)0x145b, (q15_t)0x7cb1, (q15_t)0x144f, + (q15_t)0x7cb5, (q15_t)0x1443, (q15_t)0x7cb9, (q15_t)0x1437, (q15_t)0x7cbd, (q15_t)0x142b, (q15_t)0x7cc1, (q15_t)0x141f, + (q15_t)0x7cc5, (q15_t)0x1413, (q15_t)0x7cc9, (q15_t)0x1407, (q15_t)0x7ccd, (q15_t)0x13fb, (q15_t)0x7cd1, (q15_t)0x13f0, + (q15_t)0x7cd5, (q15_t)0x13e4, (q15_t)0x7cd9, (q15_t)0x13d8, (q15_t)0x7cdd, (q15_t)0x13cc, (q15_t)0x7ce0, (q15_t)0x13c0, + (q15_t)0x7ce4, (q15_t)0x13b4, (q15_t)0x7ce8, (q15_t)0x13a8, (q15_t)0x7cec, (q15_t)0x139c, (q15_t)0x7cf0, (q15_t)0x1390, + (q15_t)0x7cf4, (q15_t)0x1384, (q15_t)0x7cf8, (q15_t)0x1378, (q15_t)0x7cfb, (q15_t)0x136c, (q15_t)0x7cff, (q15_t)0x1360, + (q15_t)0x7d03, (q15_t)0x1354, (q15_t)0x7d07, (q15_t)0x1348, (q15_t)0x7d0b, (q15_t)0x133c, (q15_t)0x7d0e, (q15_t)0x1330, + (q15_t)0x7d12, (q15_t)0x1324, (q15_t)0x7d16, (q15_t)0x1318, (q15_t)0x7d1a, (q15_t)0x130c, (q15_t)0x7d1d, (q15_t)0x1300, + (q15_t)0x7d21, (q15_t)0x12f4, (q15_t)0x7d25, (q15_t)0x12e8, (q15_t)0x7d28, (q15_t)0x12dc, (q15_t)0x7d2c, (q15_t)0x12d0, + (q15_t)0x7d30, (q15_t)0x12c4, (q15_t)0x7d34, (q15_t)0x12b8, (q15_t)0x7d37, (q15_t)0x12ac, (q15_t)0x7d3b, (q15_t)0x12a0, + (q15_t)0x7d3f, (q15_t)0x1294, (q15_t)0x7d42, (q15_t)0x1288, (q15_t)0x7d46, (q15_t)0x127c, (q15_t)0x7d49, (q15_t)0x1270, + (q15_t)0x7d4d, (q15_t)0x1264, (q15_t)0x7d51, (q15_t)0x1258, (q15_t)0x7d54, (q15_t)0x124c, (q15_t)0x7d58, (q15_t)0x1240, + (q15_t)0x7d5b, (q15_t)0x1234, (q15_t)0x7d5f, (q15_t)0x1228, (q15_t)0x7d63, (q15_t)0x121c, (q15_t)0x7d66, (q15_t)0x1210, + (q15_t)0x7d6a, (q15_t)0x1204, (q15_t)0x7d6d, (q15_t)0x11f7, (q15_t)0x7d71, (q15_t)0x11eb, (q15_t)0x7d74, (q15_t)0x11df, + (q15_t)0x7d78, (q15_t)0x11d3, (q15_t)0x7d7b, (q15_t)0x11c7, (q15_t)0x7d7f, (q15_t)0x11bb, (q15_t)0x7d82, (q15_t)0x11af, + (q15_t)0x7d86, (q15_t)0x11a3, (q15_t)0x7d89, (q15_t)0x1197, (q15_t)0x7d8d, (q15_t)0x118b, (q15_t)0x7d90, (q15_t)0x117f, + (q15_t)0x7d93, (q15_t)0x1173, (q15_t)0x7d97, (q15_t)0x1167, (q15_t)0x7d9a, (q15_t)0x115a, (q15_t)0x7d9e, (q15_t)0x114e, + (q15_t)0x7da1, (q15_t)0x1142, (q15_t)0x7da4, (q15_t)0x1136, (q15_t)0x7da8, (q15_t)0x112a, (q15_t)0x7dab, (q15_t)0x111e, + (q15_t)0x7daf, (q15_t)0x1112, (q15_t)0x7db2, (q15_t)0x1106, (q15_t)0x7db5, (q15_t)0x10fa, (q15_t)0x7db9, (q15_t)0x10ed, + (q15_t)0x7dbc, (q15_t)0x10e1, (q15_t)0x7dbf, (q15_t)0x10d5, (q15_t)0x7dc2, (q15_t)0x10c9, (q15_t)0x7dc6, (q15_t)0x10bd, + (q15_t)0x7dc9, (q15_t)0x10b1, (q15_t)0x7dcc, (q15_t)0x10a5, (q15_t)0x7dd0, (q15_t)0x1099, (q15_t)0x7dd3, (q15_t)0x108c, + (q15_t)0x7dd6, (q15_t)0x1080, (q15_t)0x7dd9, (q15_t)0x1074, (q15_t)0x7ddd, (q15_t)0x1068, (q15_t)0x7de0, (q15_t)0x105c, + (q15_t)0x7de3, (q15_t)0x1050, (q15_t)0x7de6, (q15_t)0x1044, (q15_t)0x7de9, (q15_t)0x1037, (q15_t)0x7ded, (q15_t)0x102b, + (q15_t)0x7df0, (q15_t)0x101f, (q15_t)0x7df3, (q15_t)0x1013, (q15_t)0x7df6, (q15_t)0x1007, (q15_t)0x7df9, (q15_t)0xffb, + (q15_t)0x7dfc, (q15_t)0xfee, (q15_t)0x7dff, (q15_t)0xfe2, (q15_t)0x7e03, (q15_t)0xfd6, (q15_t)0x7e06, (q15_t)0xfca, + (q15_t)0x7e09, (q15_t)0xfbe, (q15_t)0x7e0c, (q15_t)0xfb2, (q15_t)0x7e0f, (q15_t)0xfa5, (q15_t)0x7e12, (q15_t)0xf99, + (q15_t)0x7e15, (q15_t)0xf8d, (q15_t)0x7e18, (q15_t)0xf81, (q15_t)0x7e1b, (q15_t)0xf75, (q15_t)0x7e1e, (q15_t)0xf68, + (q15_t)0x7e21, (q15_t)0xf5c, (q15_t)0x7e24, (q15_t)0xf50, (q15_t)0x7e27, (q15_t)0xf44, (q15_t)0x7e2a, (q15_t)0xf38, + (q15_t)0x7e2d, (q15_t)0xf2b, (q15_t)0x7e30, (q15_t)0xf1f, (q15_t)0x7e33, (q15_t)0xf13, (q15_t)0x7e36, (q15_t)0xf07, + (q15_t)0x7e39, (q15_t)0xefb, (q15_t)0x7e3c, (q15_t)0xeee, (q15_t)0x7e3f, (q15_t)0xee2, (q15_t)0x7e42, (q15_t)0xed6, + (q15_t)0x7e45, (q15_t)0xeca, (q15_t)0x7e48, (q15_t)0xebd, (q15_t)0x7e4a, (q15_t)0xeb1, (q15_t)0x7e4d, (q15_t)0xea5, + (q15_t)0x7e50, (q15_t)0xe99, (q15_t)0x7e53, (q15_t)0xe8c, (q15_t)0x7e56, (q15_t)0xe80, (q15_t)0x7e59, (q15_t)0xe74, + (q15_t)0x7e5c, (q15_t)0xe68, (q15_t)0x7e5e, (q15_t)0xe5c, (q15_t)0x7e61, (q15_t)0xe4f, (q15_t)0x7e64, (q15_t)0xe43, + (q15_t)0x7e67, (q15_t)0xe37, (q15_t)0x7e6a, (q15_t)0xe2b, (q15_t)0x7e6c, (q15_t)0xe1e, (q15_t)0x7e6f, (q15_t)0xe12, + (q15_t)0x7e72, (q15_t)0xe06, (q15_t)0x7e75, (q15_t)0xdf9, (q15_t)0x7e77, (q15_t)0xded, (q15_t)0x7e7a, (q15_t)0xde1, + (q15_t)0x7e7d, (q15_t)0xdd5, (q15_t)0x7e80, (q15_t)0xdc8, (q15_t)0x7e82, (q15_t)0xdbc, (q15_t)0x7e85, (q15_t)0xdb0, + (q15_t)0x7e88, (q15_t)0xda4, (q15_t)0x7e8a, (q15_t)0xd97, (q15_t)0x7e8d, (q15_t)0xd8b, (q15_t)0x7e90, (q15_t)0xd7f, + (q15_t)0x7e92, (q15_t)0xd72, (q15_t)0x7e95, (q15_t)0xd66, (q15_t)0x7e98, (q15_t)0xd5a, (q15_t)0x7e9a, (q15_t)0xd4e, + (q15_t)0x7e9d, (q15_t)0xd41, (q15_t)0x7e9f, (q15_t)0xd35, (q15_t)0x7ea2, (q15_t)0xd29, (q15_t)0x7ea5, (q15_t)0xd1c, + (q15_t)0x7ea7, (q15_t)0xd10, (q15_t)0x7eaa, (q15_t)0xd04, (q15_t)0x7eac, (q15_t)0xcf8, (q15_t)0x7eaf, (q15_t)0xceb, + (q15_t)0x7eb1, (q15_t)0xcdf, (q15_t)0x7eb4, (q15_t)0xcd3, (q15_t)0x7eb6, (q15_t)0xcc6, (q15_t)0x7eb9, (q15_t)0xcba, + (q15_t)0x7ebb, (q15_t)0xcae, (q15_t)0x7ebe, (q15_t)0xca1, (q15_t)0x7ec0, (q15_t)0xc95, (q15_t)0x7ec3, (q15_t)0xc89, + (q15_t)0x7ec5, (q15_t)0xc7c, (q15_t)0x7ec8, (q15_t)0xc70, (q15_t)0x7eca, (q15_t)0xc64, (q15_t)0x7ecc, (q15_t)0xc57, + (q15_t)0x7ecf, (q15_t)0xc4b, (q15_t)0x7ed1, (q15_t)0xc3f, (q15_t)0x7ed4, (q15_t)0xc32, (q15_t)0x7ed6, (q15_t)0xc26, + (q15_t)0x7ed8, (q15_t)0xc1a, (q15_t)0x7edb, (q15_t)0xc0d, (q15_t)0x7edd, (q15_t)0xc01, (q15_t)0x7ee0, (q15_t)0xbf5, + (q15_t)0x7ee2, (q15_t)0xbe8, (q15_t)0x7ee4, (q15_t)0xbdc, (q15_t)0x7ee7, (q15_t)0xbd0, (q15_t)0x7ee9, (q15_t)0xbc3, + (q15_t)0x7eeb, (q15_t)0xbb7, (q15_t)0x7eed, (q15_t)0xbab, (q15_t)0x7ef0, (q15_t)0xb9e, (q15_t)0x7ef2, (q15_t)0xb92, + (q15_t)0x7ef4, (q15_t)0xb85, (q15_t)0x7ef7, (q15_t)0xb79, (q15_t)0x7ef9, (q15_t)0xb6d, (q15_t)0x7efb, (q15_t)0xb60, + (q15_t)0x7efd, (q15_t)0xb54, (q15_t)0x7f00, (q15_t)0xb48, (q15_t)0x7f02, (q15_t)0xb3b, (q15_t)0x7f04, (q15_t)0xb2f, + (q15_t)0x7f06, (q15_t)0xb23, (q15_t)0x7f08, (q15_t)0xb16, (q15_t)0x7f0a, (q15_t)0xb0a, (q15_t)0x7f0d, (q15_t)0xafd, + (q15_t)0x7f0f, (q15_t)0xaf1, (q15_t)0x7f11, (q15_t)0xae5, (q15_t)0x7f13, (q15_t)0xad8, (q15_t)0x7f15, (q15_t)0xacc, + (q15_t)0x7f17, (q15_t)0xac0, (q15_t)0x7f19, (q15_t)0xab3, (q15_t)0x7f1c, (q15_t)0xaa7, (q15_t)0x7f1e, (q15_t)0xa9a, + (q15_t)0x7f20, (q15_t)0xa8e, (q15_t)0x7f22, (q15_t)0xa82, (q15_t)0x7f24, (q15_t)0xa75, (q15_t)0x7f26, (q15_t)0xa69, + (q15_t)0x7f28, (q15_t)0xa5c, (q15_t)0x7f2a, (q15_t)0xa50, (q15_t)0x7f2c, (q15_t)0xa44, (q15_t)0x7f2e, (q15_t)0xa37, + (q15_t)0x7f30, (q15_t)0xa2b, (q15_t)0x7f32, (q15_t)0xa1e, (q15_t)0x7f34, (q15_t)0xa12, (q15_t)0x7f36, (q15_t)0xa06, + (q15_t)0x7f38, (q15_t)0x9f9, (q15_t)0x7f3a, (q15_t)0x9ed, (q15_t)0x7f3c, (q15_t)0x9e0, (q15_t)0x7f3e, (q15_t)0x9d4, + (q15_t)0x7f40, (q15_t)0x9c7, (q15_t)0x7f42, (q15_t)0x9bb, (q15_t)0x7f43, (q15_t)0x9af, (q15_t)0x7f45, (q15_t)0x9a2, + (q15_t)0x7f47, (q15_t)0x996, (q15_t)0x7f49, (q15_t)0x989, (q15_t)0x7f4b, (q15_t)0x97d, (q15_t)0x7f4d, (q15_t)0x970, + (q15_t)0x7f4f, (q15_t)0x964, (q15_t)0x7f51, (q15_t)0x958, (q15_t)0x7f52, (q15_t)0x94b, (q15_t)0x7f54, (q15_t)0x93f, + (q15_t)0x7f56, (q15_t)0x932, (q15_t)0x7f58, (q15_t)0x926, (q15_t)0x7f5a, (q15_t)0x919, (q15_t)0x7f5b, (q15_t)0x90d, + (q15_t)0x7f5d, (q15_t)0x901, (q15_t)0x7f5f, (q15_t)0x8f4, (q15_t)0x7f61, (q15_t)0x8e8, (q15_t)0x7f62, (q15_t)0x8db, + (q15_t)0x7f64, (q15_t)0x8cf, (q15_t)0x7f66, (q15_t)0x8c2, (q15_t)0x7f68, (q15_t)0x8b6, (q15_t)0x7f69, (q15_t)0x8a9, + (q15_t)0x7f6b, (q15_t)0x89d, (q15_t)0x7f6d, (q15_t)0x891, (q15_t)0x7f6e, (q15_t)0x884, (q15_t)0x7f70, (q15_t)0x878, + (q15_t)0x7f72, (q15_t)0x86b, (q15_t)0x7f73, (q15_t)0x85f, (q15_t)0x7f75, (q15_t)0x852, (q15_t)0x7f77, (q15_t)0x846, + (q15_t)0x7f78, (q15_t)0x839, (q15_t)0x7f7a, (q15_t)0x82d, (q15_t)0x7f7b, (q15_t)0x820, (q15_t)0x7f7d, (q15_t)0x814, + (q15_t)0x7f7f, (q15_t)0x807, (q15_t)0x7f80, (q15_t)0x7fb, (q15_t)0x7f82, (q15_t)0x7ef, (q15_t)0x7f83, (q15_t)0x7e2, + (q15_t)0x7f85, (q15_t)0x7d6, (q15_t)0x7f86, (q15_t)0x7c9, (q15_t)0x7f88, (q15_t)0x7bd, (q15_t)0x7f89, (q15_t)0x7b0, + (q15_t)0x7f8b, (q15_t)0x7a4, (q15_t)0x7f8c, (q15_t)0x797, (q15_t)0x7f8e, (q15_t)0x78b, (q15_t)0x7f8f, (q15_t)0x77e, + (q15_t)0x7f91, (q15_t)0x772, (q15_t)0x7f92, (q15_t)0x765, (q15_t)0x7f94, (q15_t)0x759, (q15_t)0x7f95, (q15_t)0x74c, + (q15_t)0x7f97, (q15_t)0x740, (q15_t)0x7f98, (q15_t)0x733, (q15_t)0x7f99, (q15_t)0x727, (q15_t)0x7f9b, (q15_t)0x71a, + (q15_t)0x7f9c, (q15_t)0x70e, (q15_t)0x7f9e, (q15_t)0x701, (q15_t)0x7f9f, (q15_t)0x6f5, (q15_t)0x7fa0, (q15_t)0x6e8, + (q15_t)0x7fa2, (q15_t)0x6dc, (q15_t)0x7fa3, (q15_t)0x6cf, (q15_t)0x7fa4, (q15_t)0x6c3, (q15_t)0x7fa6, (q15_t)0x6b6, + (q15_t)0x7fa7, (q15_t)0x6aa, (q15_t)0x7fa8, (q15_t)0x69d, (q15_t)0x7faa, (q15_t)0x691, (q15_t)0x7fab, (q15_t)0x684, + (q15_t)0x7fac, (q15_t)0x678, (q15_t)0x7fad, (q15_t)0x66b, (q15_t)0x7faf, (q15_t)0x65f, (q15_t)0x7fb0, (q15_t)0x652, + (q15_t)0x7fb1, (q15_t)0x646, (q15_t)0x7fb2, (q15_t)0x639, (q15_t)0x7fb4, (q15_t)0x62d, (q15_t)0x7fb5, (q15_t)0x620, + (q15_t)0x7fb6, (q15_t)0x614, (q15_t)0x7fb7, (q15_t)0x607, (q15_t)0x7fb8, (q15_t)0x5fb, (q15_t)0x7fb9, (q15_t)0x5ee, + (q15_t)0x7fbb, (q15_t)0x5e2, (q15_t)0x7fbc, (q15_t)0x5d5, (q15_t)0x7fbd, (q15_t)0x5c9, (q15_t)0x7fbe, (q15_t)0x5bc, + (q15_t)0x7fbf, (q15_t)0x5b0, (q15_t)0x7fc0, (q15_t)0x5a3, (q15_t)0x7fc1, (q15_t)0x597, (q15_t)0x7fc3, (q15_t)0x58a, + (q15_t)0x7fc4, (q15_t)0x57e, (q15_t)0x7fc5, (q15_t)0x571, (q15_t)0x7fc6, (q15_t)0x565, (q15_t)0x7fc7, (q15_t)0x558, + (q15_t)0x7fc8, (q15_t)0x54c, (q15_t)0x7fc9, (q15_t)0x53f, (q15_t)0x7fca, (q15_t)0x533, (q15_t)0x7fcb, (q15_t)0x526, + (q15_t)0x7fcc, (q15_t)0x51a, (q15_t)0x7fcd, (q15_t)0x50d, (q15_t)0x7fce, (q15_t)0x500, (q15_t)0x7fcf, (q15_t)0x4f4, + (q15_t)0x7fd0, (q15_t)0x4e7, (q15_t)0x7fd1, (q15_t)0x4db, (q15_t)0x7fd2, (q15_t)0x4ce, (q15_t)0x7fd3, (q15_t)0x4c2, + (q15_t)0x7fd4, (q15_t)0x4b5, (q15_t)0x7fd5, (q15_t)0x4a9, (q15_t)0x7fd5, (q15_t)0x49c, (q15_t)0x7fd6, (q15_t)0x490, + (q15_t)0x7fd7, (q15_t)0x483, (q15_t)0x7fd8, (q15_t)0x477, (q15_t)0x7fd9, (q15_t)0x46a, (q15_t)0x7fda, (q15_t)0x45e, + (q15_t)0x7fdb, (q15_t)0x451, (q15_t)0x7fdc, (q15_t)0x444, (q15_t)0x7fdc, (q15_t)0x438, (q15_t)0x7fdd, (q15_t)0x42b, + (q15_t)0x7fde, (q15_t)0x41f, (q15_t)0x7fdf, (q15_t)0x412, (q15_t)0x7fe0, (q15_t)0x406, (q15_t)0x7fe0, (q15_t)0x3f9, + (q15_t)0x7fe1, (q15_t)0x3ed, (q15_t)0x7fe2, (q15_t)0x3e0, (q15_t)0x7fe3, (q15_t)0x3d4, (q15_t)0x7fe3, (q15_t)0x3c7, + (q15_t)0x7fe4, (q15_t)0x3bb, (q15_t)0x7fe5, (q15_t)0x3ae, (q15_t)0x7fe6, (q15_t)0x3a1, (q15_t)0x7fe6, (q15_t)0x395, + (q15_t)0x7fe7, (q15_t)0x388, (q15_t)0x7fe8, (q15_t)0x37c, (q15_t)0x7fe8, (q15_t)0x36f, (q15_t)0x7fe9, (q15_t)0x363, + (q15_t)0x7fea, (q15_t)0x356, (q15_t)0x7fea, (q15_t)0x34a, (q15_t)0x7feb, (q15_t)0x33d, (q15_t)0x7fec, (q15_t)0x330, + (q15_t)0x7fec, (q15_t)0x324, (q15_t)0x7fed, (q15_t)0x317, (q15_t)0x7fed, (q15_t)0x30b, (q15_t)0x7fee, (q15_t)0x2fe, + (q15_t)0x7fef, (q15_t)0x2f2, (q15_t)0x7fef, (q15_t)0x2e5, (q15_t)0x7ff0, (q15_t)0x2d9, (q15_t)0x7ff0, (q15_t)0x2cc, + (q15_t)0x7ff1, (q15_t)0x2c0, (q15_t)0x7ff1, (q15_t)0x2b3, (q15_t)0x7ff2, (q15_t)0x2a6, (q15_t)0x7ff2, (q15_t)0x29a, + (q15_t)0x7ff3, (q15_t)0x28d, (q15_t)0x7ff3, (q15_t)0x281, (q15_t)0x7ff4, (q15_t)0x274, (q15_t)0x7ff4, (q15_t)0x268, + (q15_t)0x7ff5, (q15_t)0x25b, (q15_t)0x7ff5, (q15_t)0x24e, (q15_t)0x7ff6, (q15_t)0x242, (q15_t)0x7ff6, (q15_t)0x235, + (q15_t)0x7ff7, (q15_t)0x229, (q15_t)0x7ff7, (q15_t)0x21c, (q15_t)0x7ff7, (q15_t)0x210, (q15_t)0x7ff8, (q15_t)0x203, + (q15_t)0x7ff8, (q15_t)0x1f7, (q15_t)0x7ff9, (q15_t)0x1ea, (q15_t)0x7ff9, (q15_t)0x1dd, (q15_t)0x7ff9, (q15_t)0x1d1, + (q15_t)0x7ffa, (q15_t)0x1c4, (q15_t)0x7ffa, (q15_t)0x1b8, (q15_t)0x7ffa, (q15_t)0x1ab, (q15_t)0x7ffb, (q15_t)0x19f, + (q15_t)0x7ffb, (q15_t)0x192, (q15_t)0x7ffb, (q15_t)0x186, (q15_t)0x7ffc, (q15_t)0x179, (q15_t)0x7ffc, (q15_t)0x16c, + (q15_t)0x7ffc, (q15_t)0x160, (q15_t)0x7ffc, (q15_t)0x153, (q15_t)0x7ffd, (q15_t)0x147, (q15_t)0x7ffd, (q15_t)0x13a, + (q15_t)0x7ffd, (q15_t)0x12e, (q15_t)0x7ffd, (q15_t)0x121, (q15_t)0x7ffe, (q15_t)0x114, (q15_t)0x7ffe, (q15_t)0x108, + (q15_t)0x7ffe, (q15_t)0xfb, (q15_t)0x7ffe, (q15_t)0xef, (q15_t)0x7ffe, (q15_t)0xe2, (q15_t)0x7fff, (q15_t)0xd6, + (q15_t)0x7fff, (q15_t)0xc9, (q15_t)0x7fff, (q15_t)0xbc, (q15_t)0x7fff, (q15_t)0xb0, (q15_t)0x7fff, (q15_t)0xa3, + (q15_t)0x7fff, (q15_t)0x97, (q15_t)0x7fff, (q15_t)0x8a, (q15_t)0x7fff, (q15_t)0x7e, (q15_t)0x7fff, (q15_t)0x71, + (q15_t)0x7fff, (q15_t)0x65, (q15_t)0x7fff, (q15_t)0x58, (q15_t)0x7fff, (q15_t)0x4b, (q15_t)0x7fff, (q15_t)0x3f, + (q15_t)0x7fff, (q15_t)0x32, (q15_t)0x7fff, (q15_t)0x26, (q15_t)0x7fff, (q15_t)0x19, (q15_t)0x7fff, (q15_t)0xd, + (q15_t)0x7fff, (q15_t)0x0, (q15_t)0x7fff, (q15_t)0xfff3, (q15_t)0x7fff, (q15_t)0xffe7, (q15_t)0x7fff, (q15_t)0xffda, + (q15_t)0x7fff, (q15_t)0xffce, (q15_t)0x7fff, (q15_t)0xffc1, (q15_t)0x7fff, (q15_t)0xffb5, (q15_t)0x7fff, (q15_t)0xffa8, + (q15_t)0x7fff, (q15_t)0xff9b, (q15_t)0x7fff, (q15_t)0xff8f, (q15_t)0x7fff, (q15_t)0xff82, (q15_t)0x7fff, (q15_t)0xff76, + (q15_t)0x7fff, (q15_t)0xff69, (q15_t)0x7fff, (q15_t)0xff5d, (q15_t)0x7fff, (q15_t)0xff50, (q15_t)0x7fff, (q15_t)0xff44, + (q15_t)0x7fff, (q15_t)0xff37, (q15_t)0x7fff, (q15_t)0xff2a, (q15_t)0x7ffe, (q15_t)0xff1e, (q15_t)0x7ffe, (q15_t)0xff11, + (q15_t)0x7ffe, (q15_t)0xff05, (q15_t)0x7ffe, (q15_t)0xfef8, (q15_t)0x7ffe, (q15_t)0xfeec, (q15_t)0x7ffd, (q15_t)0xfedf, + (q15_t)0x7ffd, (q15_t)0xfed2, (q15_t)0x7ffd, (q15_t)0xfec6, (q15_t)0x7ffd, (q15_t)0xfeb9, (q15_t)0x7ffc, (q15_t)0xfead, + (q15_t)0x7ffc, (q15_t)0xfea0, (q15_t)0x7ffc, (q15_t)0xfe94, (q15_t)0x7ffc, (q15_t)0xfe87, (q15_t)0x7ffb, (q15_t)0xfe7a, + (q15_t)0x7ffb, (q15_t)0xfe6e, (q15_t)0x7ffb, (q15_t)0xfe61, (q15_t)0x7ffa, (q15_t)0xfe55, (q15_t)0x7ffa, (q15_t)0xfe48, + (q15_t)0x7ffa, (q15_t)0xfe3c, (q15_t)0x7ff9, (q15_t)0xfe2f, (q15_t)0x7ff9, (q15_t)0xfe23, (q15_t)0x7ff9, (q15_t)0xfe16, + (q15_t)0x7ff8, (q15_t)0xfe09, (q15_t)0x7ff8, (q15_t)0xfdfd, (q15_t)0x7ff7, (q15_t)0xfdf0, (q15_t)0x7ff7, (q15_t)0xfde4, + (q15_t)0x7ff7, (q15_t)0xfdd7, (q15_t)0x7ff6, (q15_t)0xfdcb, (q15_t)0x7ff6, (q15_t)0xfdbe, (q15_t)0x7ff5, (q15_t)0xfdb2, + (q15_t)0x7ff5, (q15_t)0xfda5, (q15_t)0x7ff4, (q15_t)0xfd98, (q15_t)0x7ff4, (q15_t)0xfd8c, (q15_t)0x7ff3, (q15_t)0xfd7f, + (q15_t)0x7ff3, (q15_t)0xfd73, (q15_t)0x7ff2, (q15_t)0xfd66, (q15_t)0x7ff2, (q15_t)0xfd5a, (q15_t)0x7ff1, (q15_t)0xfd4d, + (q15_t)0x7ff1, (q15_t)0xfd40, (q15_t)0x7ff0, (q15_t)0xfd34, (q15_t)0x7ff0, (q15_t)0xfd27, (q15_t)0x7fef, (q15_t)0xfd1b, + (q15_t)0x7fef, (q15_t)0xfd0e, (q15_t)0x7fee, (q15_t)0xfd02, (q15_t)0x7fed, (q15_t)0xfcf5, (q15_t)0x7fed, (q15_t)0xfce9, + (q15_t)0x7fec, (q15_t)0xfcdc, (q15_t)0x7fec, (q15_t)0xfcd0, (q15_t)0x7feb, (q15_t)0xfcc3, (q15_t)0x7fea, (q15_t)0xfcb6, + (q15_t)0x7fea, (q15_t)0xfcaa, (q15_t)0x7fe9, (q15_t)0xfc9d, (q15_t)0x7fe8, (q15_t)0xfc91, (q15_t)0x7fe8, (q15_t)0xfc84, + (q15_t)0x7fe7, (q15_t)0xfc78, (q15_t)0x7fe6, (q15_t)0xfc6b, (q15_t)0x7fe6, (q15_t)0xfc5f, (q15_t)0x7fe5, (q15_t)0xfc52, + (q15_t)0x7fe4, (q15_t)0xfc45, (q15_t)0x7fe3, (q15_t)0xfc39, (q15_t)0x7fe3, (q15_t)0xfc2c, (q15_t)0x7fe2, (q15_t)0xfc20, + (q15_t)0x7fe1, (q15_t)0xfc13, (q15_t)0x7fe0, (q15_t)0xfc07, (q15_t)0x7fe0, (q15_t)0xfbfa, (q15_t)0x7fdf, (q15_t)0xfbee, + (q15_t)0x7fde, (q15_t)0xfbe1, (q15_t)0x7fdd, (q15_t)0xfbd5, (q15_t)0x7fdc, (q15_t)0xfbc8, (q15_t)0x7fdc, (q15_t)0xfbbc, + (q15_t)0x7fdb, (q15_t)0xfbaf, (q15_t)0x7fda, (q15_t)0xfba2, (q15_t)0x7fd9, (q15_t)0xfb96, (q15_t)0x7fd8, (q15_t)0xfb89, + (q15_t)0x7fd7, (q15_t)0xfb7d, (q15_t)0x7fd6, (q15_t)0xfb70, (q15_t)0x7fd5, (q15_t)0xfb64, (q15_t)0x7fd5, (q15_t)0xfb57, + (q15_t)0x7fd4, (q15_t)0xfb4b, (q15_t)0x7fd3, (q15_t)0xfb3e, (q15_t)0x7fd2, (q15_t)0xfb32, (q15_t)0x7fd1, (q15_t)0xfb25, + (q15_t)0x7fd0, (q15_t)0xfb19, (q15_t)0x7fcf, (q15_t)0xfb0c, (q15_t)0x7fce, (q15_t)0xfb00, (q15_t)0x7fcd, (q15_t)0xfaf3, + (q15_t)0x7fcc, (q15_t)0xfae6, (q15_t)0x7fcb, (q15_t)0xfada, (q15_t)0x7fca, (q15_t)0xfacd, (q15_t)0x7fc9, (q15_t)0xfac1, + (q15_t)0x7fc8, (q15_t)0xfab4, (q15_t)0x7fc7, (q15_t)0xfaa8, (q15_t)0x7fc6, (q15_t)0xfa9b, (q15_t)0x7fc5, (q15_t)0xfa8f, + (q15_t)0x7fc4, (q15_t)0xfa82, (q15_t)0x7fc3, (q15_t)0xfa76, (q15_t)0x7fc1, (q15_t)0xfa69, (q15_t)0x7fc0, (q15_t)0xfa5d, + (q15_t)0x7fbf, (q15_t)0xfa50, (q15_t)0x7fbe, (q15_t)0xfa44, (q15_t)0x7fbd, (q15_t)0xfa37, (q15_t)0x7fbc, (q15_t)0xfa2b, + (q15_t)0x7fbb, (q15_t)0xfa1e, (q15_t)0x7fb9, (q15_t)0xfa12, (q15_t)0x7fb8, (q15_t)0xfa05, (q15_t)0x7fb7, (q15_t)0xf9f9, + (q15_t)0x7fb6, (q15_t)0xf9ec, (q15_t)0x7fb5, (q15_t)0xf9e0, (q15_t)0x7fb4, (q15_t)0xf9d3, (q15_t)0x7fb2, (q15_t)0xf9c7, + (q15_t)0x7fb1, (q15_t)0xf9ba, (q15_t)0x7fb0, (q15_t)0xf9ae, (q15_t)0x7faf, (q15_t)0xf9a1, (q15_t)0x7fad, (q15_t)0xf995, + (q15_t)0x7fac, (q15_t)0xf988, (q15_t)0x7fab, (q15_t)0xf97c, (q15_t)0x7faa, (q15_t)0xf96f, (q15_t)0x7fa8, (q15_t)0xf963, + (q15_t)0x7fa7, (q15_t)0xf956, (q15_t)0x7fa6, (q15_t)0xf94a, (q15_t)0x7fa4, (q15_t)0xf93d, (q15_t)0x7fa3, (q15_t)0xf931, + (q15_t)0x7fa2, (q15_t)0xf924, (q15_t)0x7fa0, (q15_t)0xf918, (q15_t)0x7f9f, (q15_t)0xf90b, (q15_t)0x7f9e, (q15_t)0xf8ff, + (q15_t)0x7f9c, (q15_t)0xf8f2, (q15_t)0x7f9b, (q15_t)0xf8e6, (q15_t)0x7f99, (q15_t)0xf8d9, (q15_t)0x7f98, (q15_t)0xf8cd, + (q15_t)0x7f97, (q15_t)0xf8c0, (q15_t)0x7f95, (q15_t)0xf8b4, (q15_t)0x7f94, (q15_t)0xf8a7, (q15_t)0x7f92, (q15_t)0xf89b, + (q15_t)0x7f91, (q15_t)0xf88e, (q15_t)0x7f8f, (q15_t)0xf882, (q15_t)0x7f8e, (q15_t)0xf875, (q15_t)0x7f8c, (q15_t)0xf869, + (q15_t)0x7f8b, (q15_t)0xf85c, (q15_t)0x7f89, (q15_t)0xf850, (q15_t)0x7f88, (q15_t)0xf843, (q15_t)0x7f86, (q15_t)0xf837, + (q15_t)0x7f85, (q15_t)0xf82a, (q15_t)0x7f83, (q15_t)0xf81e, (q15_t)0x7f82, (q15_t)0xf811, (q15_t)0x7f80, (q15_t)0xf805, + (q15_t)0x7f7f, (q15_t)0xf7f9, (q15_t)0x7f7d, (q15_t)0xf7ec, (q15_t)0x7f7b, (q15_t)0xf7e0, (q15_t)0x7f7a, (q15_t)0xf7d3, + (q15_t)0x7f78, (q15_t)0xf7c7, (q15_t)0x7f77, (q15_t)0xf7ba, (q15_t)0x7f75, (q15_t)0xf7ae, (q15_t)0x7f73, (q15_t)0xf7a1, + (q15_t)0x7f72, (q15_t)0xf795, (q15_t)0x7f70, (q15_t)0xf788, (q15_t)0x7f6e, (q15_t)0xf77c, (q15_t)0x7f6d, (q15_t)0xf76f, + (q15_t)0x7f6b, (q15_t)0xf763, (q15_t)0x7f69, (q15_t)0xf757, (q15_t)0x7f68, (q15_t)0xf74a, (q15_t)0x7f66, (q15_t)0xf73e, + (q15_t)0x7f64, (q15_t)0xf731, (q15_t)0x7f62, (q15_t)0xf725, (q15_t)0x7f61, (q15_t)0xf718, (q15_t)0x7f5f, (q15_t)0xf70c, + (q15_t)0x7f5d, (q15_t)0xf6ff, (q15_t)0x7f5b, (q15_t)0xf6f3, (q15_t)0x7f5a, (q15_t)0xf6e7, (q15_t)0x7f58, (q15_t)0xf6da, + (q15_t)0x7f56, (q15_t)0xf6ce, (q15_t)0x7f54, (q15_t)0xf6c1, (q15_t)0x7f52, (q15_t)0xf6b5, (q15_t)0x7f51, (q15_t)0xf6a8, + (q15_t)0x7f4f, (q15_t)0xf69c, (q15_t)0x7f4d, (q15_t)0xf690, (q15_t)0x7f4b, (q15_t)0xf683, (q15_t)0x7f49, (q15_t)0xf677, + (q15_t)0x7f47, (q15_t)0xf66a, (q15_t)0x7f45, (q15_t)0xf65e, (q15_t)0x7f43, (q15_t)0xf651, (q15_t)0x7f42, (q15_t)0xf645, + (q15_t)0x7f40, (q15_t)0xf639, (q15_t)0x7f3e, (q15_t)0xf62c, (q15_t)0x7f3c, (q15_t)0xf620, (q15_t)0x7f3a, (q15_t)0xf613, + (q15_t)0x7f38, (q15_t)0xf607, (q15_t)0x7f36, (q15_t)0xf5fa, (q15_t)0x7f34, (q15_t)0xf5ee, (q15_t)0x7f32, (q15_t)0xf5e2, + (q15_t)0x7f30, (q15_t)0xf5d5, (q15_t)0x7f2e, (q15_t)0xf5c9, (q15_t)0x7f2c, (q15_t)0xf5bc, (q15_t)0x7f2a, (q15_t)0xf5b0, + (q15_t)0x7f28, (q15_t)0xf5a4, (q15_t)0x7f26, (q15_t)0xf597, (q15_t)0x7f24, (q15_t)0xf58b, (q15_t)0x7f22, (q15_t)0xf57e, + (q15_t)0x7f20, (q15_t)0xf572, (q15_t)0x7f1e, (q15_t)0xf566, (q15_t)0x7f1c, (q15_t)0xf559, (q15_t)0x7f19, (q15_t)0xf54d, + (q15_t)0x7f17, (q15_t)0xf540, (q15_t)0x7f15, (q15_t)0xf534, (q15_t)0x7f13, (q15_t)0xf528, (q15_t)0x7f11, (q15_t)0xf51b, + (q15_t)0x7f0f, (q15_t)0xf50f, (q15_t)0x7f0d, (q15_t)0xf503, (q15_t)0x7f0a, (q15_t)0xf4f6, (q15_t)0x7f08, (q15_t)0xf4ea, + (q15_t)0x7f06, (q15_t)0xf4dd, (q15_t)0x7f04, (q15_t)0xf4d1, (q15_t)0x7f02, (q15_t)0xf4c5, (q15_t)0x7f00, (q15_t)0xf4b8, + (q15_t)0x7efd, (q15_t)0xf4ac, (q15_t)0x7efb, (q15_t)0xf4a0, (q15_t)0x7ef9, (q15_t)0xf493, (q15_t)0x7ef7, (q15_t)0xf487, + (q15_t)0x7ef4, (q15_t)0xf47b, (q15_t)0x7ef2, (q15_t)0xf46e, (q15_t)0x7ef0, (q15_t)0xf462, (q15_t)0x7eed, (q15_t)0xf455, + (q15_t)0x7eeb, (q15_t)0xf449, (q15_t)0x7ee9, (q15_t)0xf43d, (q15_t)0x7ee7, (q15_t)0xf430, (q15_t)0x7ee4, (q15_t)0xf424, + (q15_t)0x7ee2, (q15_t)0xf418, (q15_t)0x7ee0, (q15_t)0xf40b, (q15_t)0x7edd, (q15_t)0xf3ff, (q15_t)0x7edb, (q15_t)0xf3f3, + (q15_t)0x7ed8, (q15_t)0xf3e6, (q15_t)0x7ed6, (q15_t)0xf3da, (q15_t)0x7ed4, (q15_t)0xf3ce, (q15_t)0x7ed1, (q15_t)0xf3c1, + (q15_t)0x7ecf, (q15_t)0xf3b5, (q15_t)0x7ecc, (q15_t)0xf3a9, (q15_t)0x7eca, (q15_t)0xf39c, (q15_t)0x7ec8, (q15_t)0xf390, + (q15_t)0x7ec5, (q15_t)0xf384, (q15_t)0x7ec3, (q15_t)0xf377, (q15_t)0x7ec0, (q15_t)0xf36b, (q15_t)0x7ebe, (q15_t)0xf35f, + (q15_t)0x7ebb, (q15_t)0xf352, (q15_t)0x7eb9, (q15_t)0xf346, (q15_t)0x7eb6, (q15_t)0xf33a, (q15_t)0x7eb4, (q15_t)0xf32d, + (q15_t)0x7eb1, (q15_t)0xf321, (q15_t)0x7eaf, (q15_t)0xf315, (q15_t)0x7eac, (q15_t)0xf308, (q15_t)0x7eaa, (q15_t)0xf2fc, + (q15_t)0x7ea7, (q15_t)0xf2f0, (q15_t)0x7ea5, (q15_t)0xf2e4, (q15_t)0x7ea2, (q15_t)0xf2d7, (q15_t)0x7e9f, (q15_t)0xf2cb, + (q15_t)0x7e9d, (q15_t)0xf2bf, (q15_t)0x7e9a, (q15_t)0xf2b2, (q15_t)0x7e98, (q15_t)0xf2a6, (q15_t)0x7e95, (q15_t)0xf29a, + (q15_t)0x7e92, (q15_t)0xf28e, (q15_t)0x7e90, (q15_t)0xf281, (q15_t)0x7e8d, (q15_t)0xf275, (q15_t)0x7e8a, (q15_t)0xf269, + (q15_t)0x7e88, (q15_t)0xf25c, (q15_t)0x7e85, (q15_t)0xf250, (q15_t)0x7e82, (q15_t)0xf244, (q15_t)0x7e80, (q15_t)0xf238, + (q15_t)0x7e7d, (q15_t)0xf22b, (q15_t)0x7e7a, (q15_t)0xf21f, (q15_t)0x7e77, (q15_t)0xf213, (q15_t)0x7e75, (q15_t)0xf207, + (q15_t)0x7e72, (q15_t)0xf1fa, (q15_t)0x7e6f, (q15_t)0xf1ee, (q15_t)0x7e6c, (q15_t)0xf1e2, (q15_t)0x7e6a, (q15_t)0xf1d5, + (q15_t)0x7e67, (q15_t)0xf1c9, (q15_t)0x7e64, (q15_t)0xf1bd, (q15_t)0x7e61, (q15_t)0xf1b1, (q15_t)0x7e5e, (q15_t)0xf1a4, + (q15_t)0x7e5c, (q15_t)0xf198, (q15_t)0x7e59, (q15_t)0xf18c, (q15_t)0x7e56, (q15_t)0xf180, (q15_t)0x7e53, (q15_t)0xf174, + (q15_t)0x7e50, (q15_t)0xf167, (q15_t)0x7e4d, (q15_t)0xf15b, (q15_t)0x7e4a, (q15_t)0xf14f, (q15_t)0x7e48, (q15_t)0xf143, + (q15_t)0x7e45, (q15_t)0xf136, (q15_t)0x7e42, (q15_t)0xf12a, (q15_t)0x7e3f, (q15_t)0xf11e, (q15_t)0x7e3c, (q15_t)0xf112, + (q15_t)0x7e39, (q15_t)0xf105, (q15_t)0x7e36, (q15_t)0xf0f9, (q15_t)0x7e33, (q15_t)0xf0ed, (q15_t)0x7e30, (q15_t)0xf0e1, + (q15_t)0x7e2d, (q15_t)0xf0d5, (q15_t)0x7e2a, (q15_t)0xf0c8, (q15_t)0x7e27, (q15_t)0xf0bc, (q15_t)0x7e24, (q15_t)0xf0b0, + (q15_t)0x7e21, (q15_t)0xf0a4, (q15_t)0x7e1e, (q15_t)0xf098, (q15_t)0x7e1b, (q15_t)0xf08b, (q15_t)0x7e18, (q15_t)0xf07f, + (q15_t)0x7e15, (q15_t)0xf073, (q15_t)0x7e12, (q15_t)0xf067, (q15_t)0x7e0f, (q15_t)0xf05b, (q15_t)0x7e0c, (q15_t)0xf04e, + (q15_t)0x7e09, (q15_t)0xf042, (q15_t)0x7e06, (q15_t)0xf036, (q15_t)0x7e03, (q15_t)0xf02a, (q15_t)0x7dff, (q15_t)0xf01e, + (q15_t)0x7dfc, (q15_t)0xf012, (q15_t)0x7df9, (q15_t)0xf005, (q15_t)0x7df6, (q15_t)0xeff9, (q15_t)0x7df3, (q15_t)0xefed, + (q15_t)0x7df0, (q15_t)0xefe1, (q15_t)0x7ded, (q15_t)0xefd5, (q15_t)0x7de9, (q15_t)0xefc9, (q15_t)0x7de6, (q15_t)0xefbc, + (q15_t)0x7de3, (q15_t)0xefb0, (q15_t)0x7de0, (q15_t)0xefa4, (q15_t)0x7ddd, (q15_t)0xef98, (q15_t)0x7dd9, (q15_t)0xef8c, + (q15_t)0x7dd6, (q15_t)0xef80, (q15_t)0x7dd3, (q15_t)0xef74, (q15_t)0x7dd0, (q15_t)0xef67, (q15_t)0x7dcc, (q15_t)0xef5b, + (q15_t)0x7dc9, (q15_t)0xef4f, (q15_t)0x7dc6, (q15_t)0xef43, (q15_t)0x7dc2, (q15_t)0xef37, (q15_t)0x7dbf, (q15_t)0xef2b, + (q15_t)0x7dbc, (q15_t)0xef1f, (q15_t)0x7db9, (q15_t)0xef13, (q15_t)0x7db5, (q15_t)0xef06, (q15_t)0x7db2, (q15_t)0xeefa, + (q15_t)0x7daf, (q15_t)0xeeee, (q15_t)0x7dab, (q15_t)0xeee2, (q15_t)0x7da8, (q15_t)0xeed6, (q15_t)0x7da4, (q15_t)0xeeca, + (q15_t)0x7da1, (q15_t)0xeebe, (q15_t)0x7d9e, (q15_t)0xeeb2, (q15_t)0x7d9a, (q15_t)0xeea6, (q15_t)0x7d97, (q15_t)0xee99, + (q15_t)0x7d93, (q15_t)0xee8d, (q15_t)0x7d90, (q15_t)0xee81, (q15_t)0x7d8d, (q15_t)0xee75, (q15_t)0x7d89, (q15_t)0xee69, + (q15_t)0x7d86, (q15_t)0xee5d, (q15_t)0x7d82, (q15_t)0xee51, (q15_t)0x7d7f, (q15_t)0xee45, (q15_t)0x7d7b, (q15_t)0xee39, + (q15_t)0x7d78, (q15_t)0xee2d, (q15_t)0x7d74, (q15_t)0xee21, (q15_t)0x7d71, (q15_t)0xee15, (q15_t)0x7d6d, (q15_t)0xee09, + (q15_t)0x7d6a, (q15_t)0xedfc, (q15_t)0x7d66, (q15_t)0xedf0, (q15_t)0x7d63, (q15_t)0xede4, (q15_t)0x7d5f, (q15_t)0xedd8, + (q15_t)0x7d5b, (q15_t)0xedcc, (q15_t)0x7d58, (q15_t)0xedc0, (q15_t)0x7d54, (q15_t)0xedb4, (q15_t)0x7d51, (q15_t)0xeda8, + (q15_t)0x7d4d, (q15_t)0xed9c, (q15_t)0x7d49, (q15_t)0xed90, (q15_t)0x7d46, (q15_t)0xed84, (q15_t)0x7d42, (q15_t)0xed78, + (q15_t)0x7d3f, (q15_t)0xed6c, (q15_t)0x7d3b, (q15_t)0xed60, (q15_t)0x7d37, (q15_t)0xed54, (q15_t)0x7d34, (q15_t)0xed48, + (q15_t)0x7d30, (q15_t)0xed3c, (q15_t)0x7d2c, (q15_t)0xed30, (q15_t)0x7d28, (q15_t)0xed24, (q15_t)0x7d25, (q15_t)0xed18, + (q15_t)0x7d21, (q15_t)0xed0c, (q15_t)0x7d1d, (q15_t)0xed00, (q15_t)0x7d1a, (q15_t)0xecf4, (q15_t)0x7d16, (q15_t)0xece8, + (q15_t)0x7d12, (q15_t)0xecdc, (q15_t)0x7d0e, (q15_t)0xecd0, (q15_t)0x7d0b, (q15_t)0xecc4, (q15_t)0x7d07, (q15_t)0xecb8, + (q15_t)0x7d03, (q15_t)0xecac, (q15_t)0x7cff, (q15_t)0xeca0, (q15_t)0x7cfb, (q15_t)0xec94, (q15_t)0x7cf8, (q15_t)0xec88, + (q15_t)0x7cf4, (q15_t)0xec7c, (q15_t)0x7cf0, (q15_t)0xec70, (q15_t)0x7cec, (q15_t)0xec64, (q15_t)0x7ce8, (q15_t)0xec58, + (q15_t)0x7ce4, (q15_t)0xec4c, (q15_t)0x7ce0, (q15_t)0xec40, (q15_t)0x7cdd, (q15_t)0xec34, (q15_t)0x7cd9, (q15_t)0xec28, + (q15_t)0x7cd5, (q15_t)0xec1c, (q15_t)0x7cd1, (q15_t)0xec10, (q15_t)0x7ccd, (q15_t)0xec05, (q15_t)0x7cc9, (q15_t)0xebf9, + (q15_t)0x7cc5, (q15_t)0xebed, (q15_t)0x7cc1, (q15_t)0xebe1, (q15_t)0x7cbd, (q15_t)0xebd5, (q15_t)0x7cb9, (q15_t)0xebc9, + (q15_t)0x7cb5, (q15_t)0xebbd, (q15_t)0x7cb1, (q15_t)0xebb1, (q15_t)0x7cad, (q15_t)0xeba5, (q15_t)0x7ca9, (q15_t)0xeb99, + (q15_t)0x7ca5, (q15_t)0xeb8d, (q15_t)0x7ca1, (q15_t)0xeb81, (q15_t)0x7c9d, (q15_t)0xeb75, (q15_t)0x7c99, (q15_t)0xeb6a, + (q15_t)0x7c95, (q15_t)0xeb5e, (q15_t)0x7c91, (q15_t)0xeb52, (q15_t)0x7c8d, (q15_t)0xeb46, (q15_t)0x7c89, (q15_t)0xeb3a, + (q15_t)0x7c85, (q15_t)0xeb2e, (q15_t)0x7c81, (q15_t)0xeb22, (q15_t)0x7c7d, (q15_t)0xeb16, (q15_t)0x7c79, (q15_t)0xeb0a, + (q15_t)0x7c74, (q15_t)0xeaff, (q15_t)0x7c70, (q15_t)0xeaf3, (q15_t)0x7c6c, (q15_t)0xeae7, (q15_t)0x7c68, (q15_t)0xeadb, + (q15_t)0x7c64, (q15_t)0xeacf, (q15_t)0x7c60, (q15_t)0xeac3, (q15_t)0x7c5b, (q15_t)0xeab7, (q15_t)0x7c57, (q15_t)0xeaac, + (q15_t)0x7c53, (q15_t)0xeaa0, (q15_t)0x7c4f, (q15_t)0xea94, (q15_t)0x7c4b, (q15_t)0xea88, (q15_t)0x7c46, (q15_t)0xea7c, + (q15_t)0x7c42, (q15_t)0xea70, (q15_t)0x7c3e, (q15_t)0xea65, (q15_t)0x7c3a, (q15_t)0xea59, (q15_t)0x7c36, (q15_t)0xea4d, + (q15_t)0x7c31, (q15_t)0xea41, (q15_t)0x7c2d, (q15_t)0xea35, (q15_t)0x7c29, (q15_t)0xea29, (q15_t)0x7c24, (q15_t)0xea1e, + (q15_t)0x7c20, (q15_t)0xea12, (q15_t)0x7c1c, (q15_t)0xea06, (q15_t)0x7c17, (q15_t)0xe9fa, (q15_t)0x7c13, (q15_t)0xe9ee, + (q15_t)0x7c0f, (q15_t)0xe9e3, (q15_t)0x7c0a, (q15_t)0xe9d7, (q15_t)0x7c06, (q15_t)0xe9cb, (q15_t)0x7c02, (q15_t)0xe9bf, + (q15_t)0x7bfd, (q15_t)0xe9b4, (q15_t)0x7bf9, (q15_t)0xe9a8, (q15_t)0x7bf5, (q15_t)0xe99c, (q15_t)0x7bf0, (q15_t)0xe990, + (q15_t)0x7bec, (q15_t)0xe984, (q15_t)0x7be7, (q15_t)0xe979, (q15_t)0x7be3, (q15_t)0xe96d, (q15_t)0x7bde, (q15_t)0xe961, + (q15_t)0x7bda, (q15_t)0xe955, (q15_t)0x7bd6, (q15_t)0xe94a, (q15_t)0x7bd1, (q15_t)0xe93e, (q15_t)0x7bcd, (q15_t)0xe932, + (q15_t)0x7bc8, (q15_t)0xe926, (q15_t)0x7bc4, (q15_t)0xe91b, (q15_t)0x7bbf, (q15_t)0xe90f, (q15_t)0x7bbb, (q15_t)0xe903, + (q15_t)0x7bb6, (q15_t)0xe8f7, (q15_t)0x7bb2, (q15_t)0xe8ec, (q15_t)0x7bad, (q15_t)0xe8e0, (q15_t)0x7ba9, (q15_t)0xe8d4, + (q15_t)0x7ba4, (q15_t)0xe8c9, (q15_t)0x7b9f, (q15_t)0xe8bd, (q15_t)0x7b9b, (q15_t)0xe8b1, (q15_t)0x7b96, (q15_t)0xe8a5, + (q15_t)0x7b92, (q15_t)0xe89a, (q15_t)0x7b8d, (q15_t)0xe88e, (q15_t)0x7b88, (q15_t)0xe882, (q15_t)0x7b84, (q15_t)0xe877, + (q15_t)0x7b7f, (q15_t)0xe86b, (q15_t)0x7b7b, (q15_t)0xe85f, (q15_t)0x7b76, (q15_t)0xe854, (q15_t)0x7b71, (q15_t)0xe848, + (q15_t)0x7b6d, (q15_t)0xe83c, (q15_t)0x7b68, (q15_t)0xe831, (q15_t)0x7b63, (q15_t)0xe825, (q15_t)0x7b5f, (q15_t)0xe819, + (q15_t)0x7b5a, (q15_t)0xe80e, (q15_t)0x7b55, (q15_t)0xe802, (q15_t)0x7b50, (q15_t)0xe7f6, (q15_t)0x7b4c, (q15_t)0xe7eb, + (q15_t)0x7b47, (q15_t)0xe7df, (q15_t)0x7b42, (q15_t)0xe7d3, (q15_t)0x7b3e, (q15_t)0xe7c8, (q15_t)0x7b39, (q15_t)0xe7bc, + (q15_t)0x7b34, (q15_t)0xe7b1, (q15_t)0x7b2f, (q15_t)0xe7a5, (q15_t)0x7b2a, (q15_t)0xe799, (q15_t)0x7b26, (q15_t)0xe78e, + (q15_t)0x7b21, (q15_t)0xe782, (q15_t)0x7b1c, (q15_t)0xe777, (q15_t)0x7b17, (q15_t)0xe76b, (q15_t)0x7b12, (q15_t)0xe75f, + (q15_t)0x7b0e, (q15_t)0xe754, (q15_t)0x7b09, (q15_t)0xe748, (q15_t)0x7b04, (q15_t)0xe73d, (q15_t)0x7aff, (q15_t)0xe731, + (q15_t)0x7afa, (q15_t)0xe725, (q15_t)0x7af5, (q15_t)0xe71a, (q15_t)0x7af0, (q15_t)0xe70e, (q15_t)0x7aeb, (q15_t)0xe703, + (q15_t)0x7ae6, (q15_t)0xe6f7, (q15_t)0x7ae2, (q15_t)0xe6ec, (q15_t)0x7add, (q15_t)0xe6e0, (q15_t)0x7ad8, (q15_t)0xe6d4, + (q15_t)0x7ad3, (q15_t)0xe6c9, (q15_t)0x7ace, (q15_t)0xe6bd, (q15_t)0x7ac9, (q15_t)0xe6b2, (q15_t)0x7ac4, (q15_t)0xe6a6, + (q15_t)0x7abf, (q15_t)0xe69b, (q15_t)0x7aba, (q15_t)0xe68f, (q15_t)0x7ab5, (q15_t)0xe684, (q15_t)0x7ab0, (q15_t)0xe678, + (q15_t)0x7aab, (q15_t)0xe66d, (q15_t)0x7aa6, (q15_t)0xe661, (q15_t)0x7aa1, (q15_t)0xe656, (q15_t)0x7a9c, (q15_t)0xe64a, + (q15_t)0x7a97, (q15_t)0xe63f, (q15_t)0x7a92, (q15_t)0xe633, (q15_t)0x7a8d, (q15_t)0xe628, (q15_t)0x7a88, (q15_t)0xe61c, + (q15_t)0x7a82, (q15_t)0xe611, (q15_t)0x7a7d, (q15_t)0xe605, (q15_t)0x7a78, (q15_t)0xe5fa, (q15_t)0x7a73, (q15_t)0xe5ee, + (q15_t)0x7a6e, (q15_t)0xe5e3, (q15_t)0x7a69, (q15_t)0xe5d7, (q15_t)0x7a64, (q15_t)0xe5cc, (q15_t)0x7a5f, (q15_t)0xe5c0, + (q15_t)0x7a59, (q15_t)0xe5b5, (q15_t)0x7a54, (q15_t)0xe5a9, (q15_t)0x7a4f, (q15_t)0xe59e, (q15_t)0x7a4a, (q15_t)0xe592, + (q15_t)0x7a45, (q15_t)0xe587, (q15_t)0x7a3f, (q15_t)0xe57c, (q15_t)0x7a3a, (q15_t)0xe570, (q15_t)0x7a35, (q15_t)0xe565, + (q15_t)0x7a30, (q15_t)0xe559, (q15_t)0x7a2b, (q15_t)0xe54e, (q15_t)0x7a25, (q15_t)0xe542, (q15_t)0x7a20, (q15_t)0xe537, + (q15_t)0x7a1b, (q15_t)0xe52c, (q15_t)0x7a16, (q15_t)0xe520, (q15_t)0x7a10, (q15_t)0xe515, (q15_t)0x7a0b, (q15_t)0xe509, + (q15_t)0x7a06, (q15_t)0xe4fe, (q15_t)0x7a00, (q15_t)0xe4f3, (q15_t)0x79fb, (q15_t)0xe4e7, (q15_t)0x79f6, (q15_t)0xe4dc, + (q15_t)0x79f0, (q15_t)0xe4d0, (q15_t)0x79eb, (q15_t)0xe4c5, (q15_t)0x79e6, (q15_t)0xe4ba, (q15_t)0x79e0, (q15_t)0xe4ae, + (q15_t)0x79db, (q15_t)0xe4a3, (q15_t)0x79d6, (q15_t)0xe498, (q15_t)0x79d0, (q15_t)0xe48c, (q15_t)0x79cb, (q15_t)0xe481, + (q15_t)0x79c5, (q15_t)0xe476, (q15_t)0x79c0, (q15_t)0xe46a, (q15_t)0x79bb, (q15_t)0xe45f, (q15_t)0x79b5, (q15_t)0xe454, + (q15_t)0x79b0, (q15_t)0xe448, (q15_t)0x79aa, (q15_t)0xe43d, (q15_t)0x79a5, (q15_t)0xe432, (q15_t)0x799f, (q15_t)0xe426, + (q15_t)0x799a, (q15_t)0xe41b, (q15_t)0x7994, (q15_t)0xe410, (q15_t)0x798f, (q15_t)0xe404, (q15_t)0x7989, (q15_t)0xe3f9, + (q15_t)0x7984, (q15_t)0xe3ee, (q15_t)0x797e, (q15_t)0xe3e2, (q15_t)0x7979, (q15_t)0xe3d7, (q15_t)0x7973, (q15_t)0xe3cc, + (q15_t)0x796e, (q15_t)0xe3c1, (q15_t)0x7968, (q15_t)0xe3b5, (q15_t)0x7963, (q15_t)0xe3aa, (q15_t)0x795d, (q15_t)0xe39f, + (q15_t)0x7958, (q15_t)0xe394, (q15_t)0x7952, (q15_t)0xe388, (q15_t)0x794c, (q15_t)0xe37d, (q15_t)0x7947, (q15_t)0xe372, + (q15_t)0x7941, (q15_t)0xe367, (q15_t)0x793b, (q15_t)0xe35b, (q15_t)0x7936, (q15_t)0xe350, (q15_t)0x7930, (q15_t)0xe345, + (q15_t)0x792b, (q15_t)0xe33a, (q15_t)0x7925, (q15_t)0xe32e, (q15_t)0x791f, (q15_t)0xe323, (q15_t)0x791a, (q15_t)0xe318, + (q15_t)0x7914, (q15_t)0xe30d, (q15_t)0x790e, (q15_t)0xe301, (q15_t)0x7909, (q15_t)0xe2f6, (q15_t)0x7903, (q15_t)0xe2eb, + (q15_t)0x78fd, (q15_t)0xe2e0, (q15_t)0x78f7, (q15_t)0xe2d5, (q15_t)0x78f2, (q15_t)0xe2ca, (q15_t)0x78ec, (q15_t)0xe2be, + (q15_t)0x78e6, (q15_t)0xe2b3, (q15_t)0x78e0, (q15_t)0xe2a8, (q15_t)0x78db, (q15_t)0xe29d, (q15_t)0x78d5, (q15_t)0xe292, + (q15_t)0x78cf, (q15_t)0xe287, (q15_t)0x78c9, (q15_t)0xe27b, (q15_t)0x78c3, (q15_t)0xe270, (q15_t)0x78be, (q15_t)0xe265, + (q15_t)0x78b8, (q15_t)0xe25a, (q15_t)0x78b2, (q15_t)0xe24f, (q15_t)0x78ac, (q15_t)0xe244, (q15_t)0x78a6, (q15_t)0xe239, + (q15_t)0x78a1, (q15_t)0xe22d, (q15_t)0x789b, (q15_t)0xe222, (q15_t)0x7895, (q15_t)0xe217, (q15_t)0x788f, (q15_t)0xe20c, + (q15_t)0x7889, (q15_t)0xe201, (q15_t)0x7883, (q15_t)0xe1f6, (q15_t)0x787d, (q15_t)0xe1eb, (q15_t)0x7877, (q15_t)0xe1e0, + (q15_t)0x7871, (q15_t)0xe1d5, (q15_t)0x786b, (q15_t)0xe1ca, (q15_t)0x7866, (q15_t)0xe1be, (q15_t)0x7860, (q15_t)0xe1b3, + (q15_t)0x785a, (q15_t)0xe1a8, (q15_t)0x7854, (q15_t)0xe19d, (q15_t)0x784e, (q15_t)0xe192, (q15_t)0x7848, (q15_t)0xe187, + (q15_t)0x7842, (q15_t)0xe17c, (q15_t)0x783c, (q15_t)0xe171, (q15_t)0x7836, (q15_t)0xe166, (q15_t)0x7830, (q15_t)0xe15b, + (q15_t)0x782a, (q15_t)0xe150, (q15_t)0x7824, (q15_t)0xe145, (q15_t)0x781e, (q15_t)0xe13a, (q15_t)0x7818, (q15_t)0xe12f, + (q15_t)0x7812, (q15_t)0xe124, (q15_t)0x780b, (q15_t)0xe119, (q15_t)0x7805, (q15_t)0xe10e, (q15_t)0x77ff, (q15_t)0xe103, + (q15_t)0x77f9, (q15_t)0xe0f8, (q15_t)0x77f3, (q15_t)0xe0ed, (q15_t)0x77ed, (q15_t)0xe0e2, (q15_t)0x77e7, (q15_t)0xe0d7, + (q15_t)0x77e1, (q15_t)0xe0cc, (q15_t)0x77db, (q15_t)0xe0c1, (q15_t)0x77d5, (q15_t)0xe0b6, (q15_t)0x77ce, (q15_t)0xe0ab, + (q15_t)0x77c8, (q15_t)0xe0a0, (q15_t)0x77c2, (q15_t)0xe095, (q15_t)0x77bc, (q15_t)0xe08a, (q15_t)0x77b6, (q15_t)0xe07f, + (q15_t)0x77b0, (q15_t)0xe074, (q15_t)0x77a9, (q15_t)0xe069, (q15_t)0x77a3, (q15_t)0xe05e, (q15_t)0x779d, (q15_t)0xe054, + (q15_t)0x7797, (q15_t)0xe049, (q15_t)0x7790, (q15_t)0xe03e, (q15_t)0x778a, (q15_t)0xe033, (q15_t)0x7784, (q15_t)0xe028, + (q15_t)0x777e, (q15_t)0xe01d, (q15_t)0x7777, (q15_t)0xe012, (q15_t)0x7771, (q15_t)0xe007, (q15_t)0x776b, (q15_t)0xdffc, + (q15_t)0x7765, (q15_t)0xdff1, (q15_t)0x775e, (q15_t)0xdfe7, (q15_t)0x7758, (q15_t)0xdfdc, (q15_t)0x7752, (q15_t)0xdfd1, + (q15_t)0x774b, (q15_t)0xdfc6, (q15_t)0x7745, (q15_t)0xdfbb, (q15_t)0x773f, (q15_t)0xdfb0, (q15_t)0x7738, (q15_t)0xdfa5, + (q15_t)0x7732, (q15_t)0xdf9b, (q15_t)0x772c, (q15_t)0xdf90, (q15_t)0x7725, (q15_t)0xdf85, (q15_t)0x771f, (q15_t)0xdf7a, + (q15_t)0x7718, (q15_t)0xdf6f, (q15_t)0x7712, (q15_t)0xdf65, (q15_t)0x770c, (q15_t)0xdf5a, (q15_t)0x7705, (q15_t)0xdf4f, + (q15_t)0x76ff, (q15_t)0xdf44, (q15_t)0x76f8, (q15_t)0xdf39, (q15_t)0x76f2, (q15_t)0xdf2f, (q15_t)0x76eb, (q15_t)0xdf24, + (q15_t)0x76e5, (q15_t)0xdf19, (q15_t)0x76df, (q15_t)0xdf0e, (q15_t)0x76d8, (q15_t)0xdf03, (q15_t)0x76d2, (q15_t)0xdef9, + (q15_t)0x76cb, (q15_t)0xdeee, (q15_t)0x76c5, (q15_t)0xdee3, (q15_t)0x76be, (q15_t)0xded8, (q15_t)0x76b8, (q15_t)0xdece, + (q15_t)0x76b1, (q15_t)0xdec3, (q15_t)0x76ab, (q15_t)0xdeb8, (q15_t)0x76a4, (q15_t)0xdead, (q15_t)0x769d, (q15_t)0xdea3, + (q15_t)0x7697, (q15_t)0xde98, (q15_t)0x7690, (q15_t)0xde8d, (q15_t)0x768a, (q15_t)0xde83, (q15_t)0x7683, (q15_t)0xde78, + (q15_t)0x767d, (q15_t)0xde6d, (q15_t)0x7676, (q15_t)0xde62, (q15_t)0x766f, (q15_t)0xde58, (q15_t)0x7669, (q15_t)0xde4d, + (q15_t)0x7662, (q15_t)0xde42, (q15_t)0x765c, (q15_t)0xde38, (q15_t)0x7655, (q15_t)0xde2d, (q15_t)0x764e, (q15_t)0xde22, + (q15_t)0x7648, (q15_t)0xde18, (q15_t)0x7641, (q15_t)0xde0d, (q15_t)0x763a, (q15_t)0xde02, (q15_t)0x7634, (q15_t)0xddf8, + (q15_t)0x762d, (q15_t)0xdded, (q15_t)0x7626, (q15_t)0xdde2, (q15_t)0x7620, (q15_t)0xddd8, (q15_t)0x7619, (q15_t)0xddcd, + (q15_t)0x7612, (q15_t)0xddc3, (q15_t)0x760b, (q15_t)0xddb8, (q15_t)0x7605, (q15_t)0xddad, (q15_t)0x75fe, (q15_t)0xdda3, + (q15_t)0x75f7, (q15_t)0xdd98, (q15_t)0x75f0, (q15_t)0xdd8e, (q15_t)0x75ea, (q15_t)0xdd83, (q15_t)0x75e3, (q15_t)0xdd78, + (q15_t)0x75dc, (q15_t)0xdd6e, (q15_t)0x75d5, (q15_t)0xdd63, (q15_t)0x75ce, (q15_t)0xdd59, (q15_t)0x75c8, (q15_t)0xdd4e, + (q15_t)0x75c1, (q15_t)0xdd44, (q15_t)0x75ba, (q15_t)0xdd39, (q15_t)0x75b3, (q15_t)0xdd2e, (q15_t)0x75ac, (q15_t)0xdd24, + (q15_t)0x75a5, (q15_t)0xdd19, (q15_t)0x759f, (q15_t)0xdd0f, (q15_t)0x7598, (q15_t)0xdd04, (q15_t)0x7591, (q15_t)0xdcfa, + (q15_t)0x758a, (q15_t)0xdcef, (q15_t)0x7583, (q15_t)0xdce5, (q15_t)0x757c, (q15_t)0xdcda, (q15_t)0x7575, (q15_t)0xdcd0, + (q15_t)0x756e, (q15_t)0xdcc5, (q15_t)0x7567, (q15_t)0xdcbb, (q15_t)0x7561, (q15_t)0xdcb0, (q15_t)0x755a, (q15_t)0xdca6, + (q15_t)0x7553, (q15_t)0xdc9b, (q15_t)0x754c, (q15_t)0xdc91, (q15_t)0x7545, (q15_t)0xdc86, (q15_t)0x753e, (q15_t)0xdc7c, + (q15_t)0x7537, (q15_t)0xdc72, (q15_t)0x7530, (q15_t)0xdc67, (q15_t)0x7529, (q15_t)0xdc5d, (q15_t)0x7522, (q15_t)0xdc52, + (q15_t)0x751b, (q15_t)0xdc48, (q15_t)0x7514, (q15_t)0xdc3d, (q15_t)0x750d, (q15_t)0xdc33, (q15_t)0x7506, (q15_t)0xdc29, + (q15_t)0x74ff, (q15_t)0xdc1e, (q15_t)0x74f8, (q15_t)0xdc14, (q15_t)0x74f1, (q15_t)0xdc09, (q15_t)0x74ea, (q15_t)0xdbff, + (q15_t)0x74e2, (q15_t)0xdbf5, (q15_t)0x74db, (q15_t)0xdbea, (q15_t)0x74d4, (q15_t)0xdbe0, (q15_t)0x74cd, (q15_t)0xdbd5, + (q15_t)0x74c6, (q15_t)0xdbcb, (q15_t)0x74bf, (q15_t)0xdbc1, (q15_t)0x74b8, (q15_t)0xdbb6, (q15_t)0x74b1, (q15_t)0xdbac, + (q15_t)0x74aa, (q15_t)0xdba2, (q15_t)0x74a2, (q15_t)0xdb97, (q15_t)0x749b, (q15_t)0xdb8d, (q15_t)0x7494, (q15_t)0xdb83, + (q15_t)0x748d, (q15_t)0xdb78, (q15_t)0x7486, (q15_t)0xdb6e, (q15_t)0x747f, (q15_t)0xdb64, (q15_t)0x7477, (q15_t)0xdb59, + (q15_t)0x7470, (q15_t)0xdb4f, (q15_t)0x7469, (q15_t)0xdb45, (q15_t)0x7462, (q15_t)0xdb3b, (q15_t)0x745b, (q15_t)0xdb30, + (q15_t)0x7453, (q15_t)0xdb26, (q15_t)0x744c, (q15_t)0xdb1c, (q15_t)0x7445, (q15_t)0xdb11, (q15_t)0x743e, (q15_t)0xdb07, + (q15_t)0x7436, (q15_t)0xdafd, (q15_t)0x742f, (q15_t)0xdaf3, (q15_t)0x7428, (q15_t)0xdae8, (q15_t)0x7420, (q15_t)0xdade, + (q15_t)0x7419, (q15_t)0xdad4, (q15_t)0x7412, (q15_t)0xdaca, (q15_t)0x740b, (q15_t)0xdabf, (q15_t)0x7403, (q15_t)0xdab5, + (q15_t)0x73fc, (q15_t)0xdaab, (q15_t)0x73f5, (q15_t)0xdaa1, (q15_t)0x73ed, (q15_t)0xda97, (q15_t)0x73e6, (q15_t)0xda8c, + (q15_t)0x73df, (q15_t)0xda82, (q15_t)0x73d7, (q15_t)0xda78, (q15_t)0x73d0, (q15_t)0xda6e, (q15_t)0x73c8, (q15_t)0xda64, + (q15_t)0x73c1, (q15_t)0xda5a, (q15_t)0x73ba, (q15_t)0xda4f, (q15_t)0x73b2, (q15_t)0xda45, (q15_t)0x73ab, (q15_t)0xda3b, + (q15_t)0x73a3, (q15_t)0xda31, (q15_t)0x739c, (q15_t)0xda27, (q15_t)0x7395, (q15_t)0xda1d, (q15_t)0x738d, (q15_t)0xda13, + (q15_t)0x7386, (q15_t)0xda08, (q15_t)0x737e, (q15_t)0xd9fe, (q15_t)0x7377, (q15_t)0xd9f4, (q15_t)0x736f, (q15_t)0xd9ea, + (q15_t)0x7368, (q15_t)0xd9e0, (q15_t)0x7360, (q15_t)0xd9d6, (q15_t)0x7359, (q15_t)0xd9cc, (q15_t)0x7351, (q15_t)0xd9c2, + (q15_t)0x734a, (q15_t)0xd9b8, (q15_t)0x7342, (q15_t)0xd9ae, (q15_t)0x733b, (q15_t)0xd9a4, (q15_t)0x7333, (q15_t)0xd99a, + (q15_t)0x732c, (q15_t)0xd98f, (q15_t)0x7324, (q15_t)0xd985, (q15_t)0x731d, (q15_t)0xd97b, (q15_t)0x7315, (q15_t)0xd971, + (q15_t)0x730d, (q15_t)0xd967, (q15_t)0x7306, (q15_t)0xd95d, (q15_t)0x72fe, (q15_t)0xd953, (q15_t)0x72f7, (q15_t)0xd949, + (q15_t)0x72ef, (q15_t)0xd93f, (q15_t)0x72e7, (q15_t)0xd935, (q15_t)0x72e0, (q15_t)0xd92b, (q15_t)0x72d8, (q15_t)0xd921, + (q15_t)0x72d0, (q15_t)0xd917, (q15_t)0x72c9, (q15_t)0xd90d, (q15_t)0x72c1, (q15_t)0xd903, (q15_t)0x72ba, (q15_t)0xd8f9, + (q15_t)0x72b2, (q15_t)0xd8ef, (q15_t)0x72aa, (q15_t)0xd8e6, (q15_t)0x72a3, (q15_t)0xd8dc, (q15_t)0x729b, (q15_t)0xd8d2, + (q15_t)0x7293, (q15_t)0xd8c8, (q15_t)0x728b, (q15_t)0xd8be, (q15_t)0x7284, (q15_t)0xd8b4, (q15_t)0x727c, (q15_t)0xd8aa, + (q15_t)0x7274, (q15_t)0xd8a0, (q15_t)0x726d, (q15_t)0xd896, (q15_t)0x7265, (q15_t)0xd88c, (q15_t)0x725d, (q15_t)0xd882, + (q15_t)0x7255, (q15_t)0xd878, (q15_t)0x724e, (q15_t)0xd86f, (q15_t)0x7246, (q15_t)0xd865, (q15_t)0x723e, (q15_t)0xd85b, + (q15_t)0x7236, (q15_t)0xd851, (q15_t)0x722e, (q15_t)0xd847, (q15_t)0x7227, (q15_t)0xd83d, (q15_t)0x721f, (q15_t)0xd833, + (q15_t)0x7217, (q15_t)0xd82a, (q15_t)0x720f, (q15_t)0xd820, (q15_t)0x7207, (q15_t)0xd816, (q15_t)0x71ff, (q15_t)0xd80c, + (q15_t)0x71f8, (q15_t)0xd802, (q15_t)0x71f0, (q15_t)0xd7f8, (q15_t)0x71e8, (q15_t)0xd7ef, (q15_t)0x71e0, (q15_t)0xd7e5, + (q15_t)0x71d8, (q15_t)0xd7db, (q15_t)0x71d0, (q15_t)0xd7d1, (q15_t)0x71c8, (q15_t)0xd7c8, (q15_t)0x71c0, (q15_t)0xd7be, + (q15_t)0x71b9, (q15_t)0xd7b4, (q15_t)0x71b1, (q15_t)0xd7aa, (q15_t)0x71a9, (q15_t)0xd7a0, (q15_t)0x71a1, (q15_t)0xd797, + (q15_t)0x7199, (q15_t)0xd78d, (q15_t)0x7191, (q15_t)0xd783, (q15_t)0x7189, (q15_t)0xd77a, (q15_t)0x7181, (q15_t)0xd770, + (q15_t)0x7179, (q15_t)0xd766, (q15_t)0x7171, (q15_t)0xd75c, (q15_t)0x7169, (q15_t)0xd753, (q15_t)0x7161, (q15_t)0xd749, + (q15_t)0x7159, (q15_t)0xd73f, (q15_t)0x7151, (q15_t)0xd736, (q15_t)0x7149, (q15_t)0xd72c, (q15_t)0x7141, (q15_t)0xd722, + (q15_t)0x7139, (q15_t)0xd719, (q15_t)0x7131, (q15_t)0xd70f, (q15_t)0x7129, (q15_t)0xd705, (q15_t)0x7121, (q15_t)0xd6fc, + (q15_t)0x7119, (q15_t)0xd6f2, (q15_t)0x7111, (q15_t)0xd6e8, (q15_t)0x7109, (q15_t)0xd6df, (q15_t)0x7101, (q15_t)0xd6d5, + (q15_t)0x70f9, (q15_t)0xd6cb, (q15_t)0x70f0, (q15_t)0xd6c2, (q15_t)0x70e8, (q15_t)0xd6b8, (q15_t)0x70e0, (q15_t)0xd6af, + (q15_t)0x70d8, (q15_t)0xd6a5, (q15_t)0x70d0, (q15_t)0xd69b, (q15_t)0x70c8, (q15_t)0xd692, (q15_t)0x70c0, (q15_t)0xd688, + (q15_t)0x70b8, (q15_t)0xd67f, (q15_t)0x70af, (q15_t)0xd675, (q15_t)0x70a7, (q15_t)0xd66c, (q15_t)0x709f, (q15_t)0xd662, + (q15_t)0x7097, (q15_t)0xd659, (q15_t)0x708f, (q15_t)0xd64f, (q15_t)0x7087, (q15_t)0xd645, (q15_t)0x707e, (q15_t)0xd63c, + (q15_t)0x7076, (q15_t)0xd632, (q15_t)0x706e, (q15_t)0xd629, (q15_t)0x7066, (q15_t)0xd61f, (q15_t)0x705d, (q15_t)0xd616, + (q15_t)0x7055, (q15_t)0xd60c, (q15_t)0x704d, (q15_t)0xd603, (q15_t)0x7045, (q15_t)0xd5f9, (q15_t)0x703c, (q15_t)0xd5f0, + (q15_t)0x7034, (q15_t)0xd5e6, (q15_t)0x702c, (q15_t)0xd5dd, (q15_t)0x7024, (q15_t)0xd5d4, (q15_t)0x701b, (q15_t)0xd5ca, + (q15_t)0x7013, (q15_t)0xd5c1, (q15_t)0x700b, (q15_t)0xd5b7, (q15_t)0x7002, (q15_t)0xd5ae, (q15_t)0x6ffa, (q15_t)0xd5a4, + (q15_t)0x6ff2, (q15_t)0xd59b, (q15_t)0x6fea, (q15_t)0xd592, (q15_t)0x6fe1, (q15_t)0xd588, (q15_t)0x6fd9, (q15_t)0xd57f, + (q15_t)0x6fd0, (q15_t)0xd575, (q15_t)0x6fc8, (q15_t)0xd56c, (q15_t)0x6fc0, (q15_t)0xd563, (q15_t)0x6fb7, (q15_t)0xd559, + (q15_t)0x6faf, (q15_t)0xd550, (q15_t)0x6fa7, (q15_t)0xd547, (q15_t)0x6f9e, (q15_t)0xd53d, (q15_t)0x6f96, (q15_t)0xd534, + (q15_t)0x6f8d, (q15_t)0xd52a, (q15_t)0x6f85, (q15_t)0xd521, (q15_t)0x6f7d, (q15_t)0xd518, (q15_t)0x6f74, (q15_t)0xd50e, + (q15_t)0x6f6c, (q15_t)0xd505, (q15_t)0x6f63, (q15_t)0xd4fc, (q15_t)0x6f5b, (q15_t)0xd4f3, (q15_t)0x6f52, (q15_t)0xd4e9, + (q15_t)0x6f4a, (q15_t)0xd4e0, (q15_t)0x6f41, (q15_t)0xd4d7, (q15_t)0x6f39, (q15_t)0xd4cd, (q15_t)0x6f30, (q15_t)0xd4c4, + (q15_t)0x6f28, (q15_t)0xd4bb, (q15_t)0x6f20, (q15_t)0xd4b2, (q15_t)0x6f17, (q15_t)0xd4a8, (q15_t)0x6f0e, (q15_t)0xd49f, + (q15_t)0x6f06, (q15_t)0xd496, (q15_t)0x6efd, (q15_t)0xd48d, (q15_t)0x6ef5, (q15_t)0xd483, (q15_t)0x6eec, (q15_t)0xd47a, + (q15_t)0x6ee4, (q15_t)0xd471, (q15_t)0x6edb, (q15_t)0xd468, (q15_t)0x6ed3, (q15_t)0xd45f, (q15_t)0x6eca, (q15_t)0xd455, + (q15_t)0x6ec2, (q15_t)0xd44c, (q15_t)0x6eb9, (q15_t)0xd443, (q15_t)0x6eb0, (q15_t)0xd43a, (q15_t)0x6ea8, (q15_t)0xd431, + (q15_t)0x6e9f, (q15_t)0xd428, (q15_t)0x6e97, (q15_t)0xd41e, (q15_t)0x6e8e, (q15_t)0xd415, (q15_t)0x6e85, (q15_t)0xd40c, + (q15_t)0x6e7d, (q15_t)0xd403, (q15_t)0x6e74, (q15_t)0xd3fa, (q15_t)0x6e6b, (q15_t)0xd3f1, (q15_t)0x6e63, (q15_t)0xd3e8, + (q15_t)0x6e5a, (q15_t)0xd3df, (q15_t)0x6e51, (q15_t)0xd3d5, (q15_t)0x6e49, (q15_t)0xd3cc, (q15_t)0x6e40, (q15_t)0xd3c3, + (q15_t)0x6e37, (q15_t)0xd3ba, (q15_t)0x6e2f, (q15_t)0xd3b1, (q15_t)0x6e26, (q15_t)0xd3a8, (q15_t)0x6e1d, (q15_t)0xd39f, + (q15_t)0x6e15, (q15_t)0xd396, (q15_t)0x6e0c, (q15_t)0xd38d, (q15_t)0x6e03, (q15_t)0xd384, (q15_t)0x6dfa, (q15_t)0xd37b, + (q15_t)0x6df2, (q15_t)0xd372, (q15_t)0x6de9, (q15_t)0xd369, (q15_t)0x6de0, (q15_t)0xd360, (q15_t)0x6dd7, (q15_t)0xd357, + (q15_t)0x6dcf, (q15_t)0xd34e, (q15_t)0x6dc6, (q15_t)0xd345, (q15_t)0x6dbd, (q15_t)0xd33c, (q15_t)0x6db4, (q15_t)0xd333, + (q15_t)0x6dab, (q15_t)0xd32a, (q15_t)0x6da3, (q15_t)0xd321, (q15_t)0x6d9a, (q15_t)0xd318, (q15_t)0x6d91, (q15_t)0xd30f, + (q15_t)0x6d88, (q15_t)0xd306, (q15_t)0x6d7f, (q15_t)0xd2fd, (q15_t)0x6d76, (q15_t)0xd2f4, (q15_t)0x6d6e, (q15_t)0xd2eb, + (q15_t)0x6d65, (q15_t)0xd2e2, (q15_t)0x6d5c, (q15_t)0xd2d9, (q15_t)0x6d53, (q15_t)0xd2d1, (q15_t)0x6d4a, (q15_t)0xd2c8, + (q15_t)0x6d41, (q15_t)0xd2bf, (q15_t)0x6d38, (q15_t)0xd2b6, (q15_t)0x6d2f, (q15_t)0xd2ad, (q15_t)0x6d27, (q15_t)0xd2a4, + (q15_t)0x6d1e, (q15_t)0xd29b, (q15_t)0x6d15, (q15_t)0xd292, (q15_t)0x6d0c, (q15_t)0xd28a, (q15_t)0x6d03, (q15_t)0xd281, + (q15_t)0x6cfa, (q15_t)0xd278, (q15_t)0x6cf1, (q15_t)0xd26f, (q15_t)0x6ce8, (q15_t)0xd266, (q15_t)0x6cdf, (q15_t)0xd25d, + (q15_t)0x6cd6, (q15_t)0xd255, (q15_t)0x6ccd, (q15_t)0xd24c, (q15_t)0x6cc4, (q15_t)0xd243, (q15_t)0x6cbb, (q15_t)0xd23a, + (q15_t)0x6cb2, (q15_t)0xd231, (q15_t)0x6ca9, (q15_t)0xd229, (q15_t)0x6ca0, (q15_t)0xd220, (q15_t)0x6c97, (q15_t)0xd217, + (q15_t)0x6c8e, (q15_t)0xd20e, (q15_t)0x6c85, (q15_t)0xd206, (q15_t)0x6c7c, (q15_t)0xd1fd, (q15_t)0x6c73, (q15_t)0xd1f4, + (q15_t)0x6c6a, (q15_t)0xd1eb, (q15_t)0x6c61, (q15_t)0xd1e3, (q15_t)0x6c58, (q15_t)0xd1da, (q15_t)0x6c4f, (q15_t)0xd1d1, + (q15_t)0x6c46, (q15_t)0xd1c9, (q15_t)0x6c3d, (q15_t)0xd1c0, (q15_t)0x6c34, (q15_t)0xd1b7, (q15_t)0x6c2b, (q15_t)0xd1af, + (q15_t)0x6c21, (q15_t)0xd1a6, (q15_t)0x6c18, (q15_t)0xd19d, (q15_t)0x6c0f, (q15_t)0xd195, (q15_t)0x6c06, (q15_t)0xd18c, + (q15_t)0x6bfd, (q15_t)0xd183, (q15_t)0x6bf4, (q15_t)0xd17b, (q15_t)0x6beb, (q15_t)0xd172, (q15_t)0x6be2, (q15_t)0xd169, + (q15_t)0x6bd8, (q15_t)0xd161, (q15_t)0x6bcf, (q15_t)0xd158, (q15_t)0x6bc6, (q15_t)0xd150, (q15_t)0x6bbd, (q15_t)0xd147, + (q15_t)0x6bb4, (q15_t)0xd13e, (q15_t)0x6bab, (q15_t)0xd136, (q15_t)0x6ba1, (q15_t)0xd12d, (q15_t)0x6b98, (q15_t)0xd125, + (q15_t)0x6b8f, (q15_t)0xd11c, (q15_t)0x6b86, (q15_t)0xd114, (q15_t)0x6b7d, (q15_t)0xd10b, (q15_t)0x6b73, (q15_t)0xd103, + (q15_t)0x6b6a, (q15_t)0xd0fa, (q15_t)0x6b61, (q15_t)0xd0f2, (q15_t)0x6b58, (q15_t)0xd0e9, (q15_t)0x6b4e, (q15_t)0xd0e0, + (q15_t)0x6b45, (q15_t)0xd0d8, (q15_t)0x6b3c, (q15_t)0xd0d0, (q15_t)0x6b33, (q15_t)0xd0c7, (q15_t)0x6b29, (q15_t)0xd0bf, + (q15_t)0x6b20, (q15_t)0xd0b6, (q15_t)0x6b17, (q15_t)0xd0ae, (q15_t)0x6b0d, (q15_t)0xd0a5, (q15_t)0x6b04, (q15_t)0xd09d, + (q15_t)0x6afb, (q15_t)0xd094, (q15_t)0x6af2, (q15_t)0xd08c, (q15_t)0x6ae8, (q15_t)0xd083, (q15_t)0x6adf, (q15_t)0xd07b, + (q15_t)0x6ad6, (q15_t)0xd073, (q15_t)0x6acc, (q15_t)0xd06a, (q15_t)0x6ac3, (q15_t)0xd062, (q15_t)0x6ab9, (q15_t)0xd059, + (q15_t)0x6ab0, (q15_t)0xd051, (q15_t)0x6aa7, (q15_t)0xd049, (q15_t)0x6a9d, (q15_t)0xd040, (q15_t)0x6a94, (q15_t)0xd038, + (q15_t)0x6a8b, (q15_t)0xd030, (q15_t)0x6a81, (q15_t)0xd027, (q15_t)0x6a78, (q15_t)0xd01f, (q15_t)0x6a6e, (q15_t)0xd016, + (q15_t)0x6a65, (q15_t)0xd00e, (q15_t)0x6a5c, (q15_t)0xd006, (q15_t)0x6a52, (q15_t)0xcffe, (q15_t)0x6a49, (q15_t)0xcff5, + (q15_t)0x6a3f, (q15_t)0xcfed, (q15_t)0x6a36, (q15_t)0xcfe5, (q15_t)0x6a2c, (q15_t)0xcfdc, (q15_t)0x6a23, (q15_t)0xcfd4, + (q15_t)0x6a1a, (q15_t)0xcfcc, (q15_t)0x6a10, (q15_t)0xcfc4, (q15_t)0x6a07, (q15_t)0xcfbb, (q15_t)0x69fd, (q15_t)0xcfb3, + (q15_t)0x69f4, (q15_t)0xcfab, (q15_t)0x69ea, (q15_t)0xcfa3, (q15_t)0x69e1, (q15_t)0xcf9a, (q15_t)0x69d7, (q15_t)0xcf92, + (q15_t)0x69ce, (q15_t)0xcf8a, (q15_t)0x69c4, (q15_t)0xcf82, (q15_t)0x69bb, (q15_t)0xcf79, (q15_t)0x69b1, (q15_t)0xcf71, + (q15_t)0x69a7, (q15_t)0xcf69, (q15_t)0x699e, (q15_t)0xcf61, (q15_t)0x6994, (q15_t)0xcf59, (q15_t)0x698b, (q15_t)0xcf51, + (q15_t)0x6981, (q15_t)0xcf48, (q15_t)0x6978, (q15_t)0xcf40, (q15_t)0x696e, (q15_t)0xcf38, (q15_t)0x6965, (q15_t)0xcf30, + (q15_t)0x695b, (q15_t)0xcf28, (q15_t)0x6951, (q15_t)0xcf20, (q15_t)0x6948, (q15_t)0xcf18, (q15_t)0x693e, (q15_t)0xcf10, + (q15_t)0x6935, (q15_t)0xcf07, (q15_t)0x692b, (q15_t)0xceff, (q15_t)0x6921, (q15_t)0xcef7, (q15_t)0x6918, (q15_t)0xceef, + (q15_t)0x690e, (q15_t)0xcee7, (q15_t)0x6904, (q15_t)0xcedf, (q15_t)0x68fb, (q15_t)0xced7, (q15_t)0x68f1, (q15_t)0xcecf, + (q15_t)0x68e7, (q15_t)0xcec7, (q15_t)0x68de, (q15_t)0xcebf, (q15_t)0x68d4, (q15_t)0xceb7, (q15_t)0x68ca, (q15_t)0xceaf, + (q15_t)0x68c1, (q15_t)0xcea7, (q15_t)0x68b7, (q15_t)0xce9f, (q15_t)0x68ad, (q15_t)0xce97, (q15_t)0x68a4, (q15_t)0xce8f, + (q15_t)0x689a, (q15_t)0xce87, (q15_t)0x6890, (q15_t)0xce7f, (q15_t)0x6886, (q15_t)0xce77, (q15_t)0x687d, (q15_t)0xce6f, + (q15_t)0x6873, (q15_t)0xce67, (q15_t)0x6869, (q15_t)0xce5f, (q15_t)0x6860, (q15_t)0xce57, (q15_t)0x6856, (q15_t)0xce4f, + (q15_t)0x684c, (q15_t)0xce47, (q15_t)0x6842, (q15_t)0xce40, (q15_t)0x6838, (q15_t)0xce38, (q15_t)0x682f, (q15_t)0xce30, + (q15_t)0x6825, (q15_t)0xce28, (q15_t)0x681b, (q15_t)0xce20, (q15_t)0x6811, (q15_t)0xce18, (q15_t)0x6808, (q15_t)0xce10, + (q15_t)0x67fe, (q15_t)0xce08, (q15_t)0x67f4, (q15_t)0xce01, (q15_t)0x67ea, (q15_t)0xcdf9, (q15_t)0x67e0, (q15_t)0xcdf1, + (q15_t)0x67d6, (q15_t)0xcde9, (q15_t)0x67cd, (q15_t)0xcde1, (q15_t)0x67c3, (q15_t)0xcdd9, (q15_t)0x67b9, (q15_t)0xcdd2, + (q15_t)0x67af, (q15_t)0xcdca, (q15_t)0x67a5, (q15_t)0xcdc2, (q15_t)0x679b, (q15_t)0xcdba, (q15_t)0x6791, (q15_t)0xcdb2, + (q15_t)0x6788, (q15_t)0xcdab, (q15_t)0x677e, (q15_t)0xcda3, (q15_t)0x6774, (q15_t)0xcd9b, (q15_t)0x676a, (q15_t)0xcd93, + (q15_t)0x6760, (q15_t)0xcd8c, (q15_t)0x6756, (q15_t)0xcd84, (q15_t)0x674c, (q15_t)0xcd7c, (q15_t)0x6742, (q15_t)0xcd75, + (q15_t)0x6738, (q15_t)0xcd6d, (q15_t)0x672e, (q15_t)0xcd65, (q15_t)0x6724, (q15_t)0xcd5d, (q15_t)0x671a, (q15_t)0xcd56, + (q15_t)0x6711, (q15_t)0xcd4e, (q15_t)0x6707, (q15_t)0xcd46, (q15_t)0x66fd, (q15_t)0xcd3f, (q15_t)0x66f3, (q15_t)0xcd37, + (q15_t)0x66e9, (q15_t)0xcd30, (q15_t)0x66df, (q15_t)0xcd28, (q15_t)0x66d5, (q15_t)0xcd20, (q15_t)0x66cb, (q15_t)0xcd19, + (q15_t)0x66c1, (q15_t)0xcd11, (q15_t)0x66b7, (q15_t)0xcd09, (q15_t)0x66ad, (q15_t)0xcd02, (q15_t)0x66a3, (q15_t)0xccfa, + (q15_t)0x6699, (q15_t)0xccf3, (q15_t)0x668f, (q15_t)0xcceb, (q15_t)0x6685, (q15_t)0xcce3, (q15_t)0x667b, (q15_t)0xccdc, + (q15_t)0x6671, (q15_t)0xccd4, (q15_t)0x6666, (q15_t)0xcccd, (q15_t)0x665c, (q15_t)0xccc5, (q15_t)0x6652, (q15_t)0xccbe, + (q15_t)0x6648, (q15_t)0xccb6, (q15_t)0x663e, (q15_t)0xccaf, (q15_t)0x6634, (q15_t)0xcca7, (q15_t)0x662a, (q15_t)0xcca0, + (q15_t)0x6620, (q15_t)0xcc98, (q15_t)0x6616, (q15_t)0xcc91, (q15_t)0x660c, (q15_t)0xcc89, (q15_t)0x6602, (q15_t)0xcc82, + (q15_t)0x65f8, (q15_t)0xcc7a, (q15_t)0x65ed, (q15_t)0xcc73, (q15_t)0x65e3, (q15_t)0xcc6b, (q15_t)0x65d9, (q15_t)0xcc64, + (q15_t)0x65cf, (q15_t)0xcc5d, (q15_t)0x65c5, (q15_t)0xcc55, (q15_t)0x65bb, (q15_t)0xcc4e, (q15_t)0x65b1, (q15_t)0xcc46, + (q15_t)0x65a6, (q15_t)0xcc3f, (q15_t)0x659c, (q15_t)0xcc38, (q15_t)0x6592, (q15_t)0xcc30, (q15_t)0x6588, (q15_t)0xcc29, + (q15_t)0x657e, (q15_t)0xcc21, (q15_t)0x6574, (q15_t)0xcc1a, (q15_t)0x6569, (q15_t)0xcc13, (q15_t)0x655f, (q15_t)0xcc0b, + (q15_t)0x6555, (q15_t)0xcc04, (q15_t)0x654b, (q15_t)0xcbfd, (q15_t)0x6541, (q15_t)0xcbf5, (q15_t)0x6536, (q15_t)0xcbee, + (q15_t)0x652c, (q15_t)0xcbe7, (q15_t)0x6522, (q15_t)0xcbe0, (q15_t)0x6518, (q15_t)0xcbd8, (q15_t)0x650d, (q15_t)0xcbd1, + (q15_t)0x6503, (q15_t)0xcbca, (q15_t)0x64f9, (q15_t)0xcbc2, (q15_t)0x64ef, (q15_t)0xcbbb, (q15_t)0x64e4, (q15_t)0xcbb4, + (q15_t)0x64da, (q15_t)0xcbad, (q15_t)0x64d0, (q15_t)0xcba5, (q15_t)0x64c5, (q15_t)0xcb9e, (q15_t)0x64bb, (q15_t)0xcb97, + (q15_t)0x64b1, (q15_t)0xcb90, (q15_t)0x64a7, (q15_t)0xcb89, (q15_t)0x649c, (q15_t)0xcb81, (q15_t)0x6492, (q15_t)0xcb7a, + (q15_t)0x6488, (q15_t)0xcb73, (q15_t)0x647d, (q15_t)0xcb6c, (q15_t)0x6473, (q15_t)0xcb65, (q15_t)0x6469, (q15_t)0xcb5e, + (q15_t)0x645e, (q15_t)0xcb56, (q15_t)0x6454, (q15_t)0xcb4f, (q15_t)0x644a, (q15_t)0xcb48, (q15_t)0x643f, (q15_t)0xcb41, + (q15_t)0x6435, (q15_t)0xcb3a, (q15_t)0x642b, (q15_t)0xcb33, (q15_t)0x6420, (q15_t)0xcb2c, (q15_t)0x6416, (q15_t)0xcb25, + (q15_t)0x640b, (q15_t)0xcb1e, (q15_t)0x6401, (q15_t)0xcb16, (q15_t)0x63f7, (q15_t)0xcb0f, (q15_t)0x63ec, (q15_t)0xcb08, + (q15_t)0x63e2, (q15_t)0xcb01, (q15_t)0x63d7, (q15_t)0xcafa, (q15_t)0x63cd, (q15_t)0xcaf3, (q15_t)0x63c3, (q15_t)0xcaec, + (q15_t)0x63b8, (q15_t)0xcae5, (q15_t)0x63ae, (q15_t)0xcade, (q15_t)0x63a3, (q15_t)0xcad7, (q15_t)0x6399, (q15_t)0xcad0, + (q15_t)0x638e, (q15_t)0xcac9, (q15_t)0x6384, (q15_t)0xcac2, (q15_t)0x637a, (q15_t)0xcabb, (q15_t)0x636f, (q15_t)0xcab4, + (q15_t)0x6365, (q15_t)0xcaad, (q15_t)0x635a, (q15_t)0xcaa6, (q15_t)0x6350, (q15_t)0xca9f, (q15_t)0x6345, (q15_t)0xca99, + (q15_t)0x633b, (q15_t)0xca92, (q15_t)0x6330, (q15_t)0xca8b, (q15_t)0x6326, (q15_t)0xca84, (q15_t)0x631b, (q15_t)0xca7d, + (q15_t)0x6311, (q15_t)0xca76, (q15_t)0x6306, (q15_t)0xca6f, (q15_t)0x62fc, (q15_t)0xca68, (q15_t)0x62f1, (q15_t)0xca61, + (q15_t)0x62e7, (q15_t)0xca5b, (q15_t)0x62dc, (q15_t)0xca54, (q15_t)0x62d2, (q15_t)0xca4d, (q15_t)0x62c7, (q15_t)0xca46, + (q15_t)0x62bc, (q15_t)0xca3f, (q15_t)0x62b2, (q15_t)0xca38, (q15_t)0x62a7, (q15_t)0xca32, (q15_t)0x629d, (q15_t)0xca2b, + (q15_t)0x6292, (q15_t)0xca24, (q15_t)0x6288, (q15_t)0xca1d, (q15_t)0x627d, (q15_t)0xca16, (q15_t)0x6272, (q15_t)0xca10, + (q15_t)0x6268, (q15_t)0xca09, (q15_t)0x625d, (q15_t)0xca02, (q15_t)0x6253, (q15_t)0xc9fb, (q15_t)0x6248, (q15_t)0xc9f5, + (q15_t)0x623d, (q15_t)0xc9ee, (q15_t)0x6233, (q15_t)0xc9e7, (q15_t)0x6228, (q15_t)0xc9e0, (q15_t)0x621e, (q15_t)0xc9da, + (q15_t)0x6213, (q15_t)0xc9d3, (q15_t)0x6208, (q15_t)0xc9cc, (q15_t)0x61fe, (q15_t)0xc9c6, (q15_t)0x61f3, (q15_t)0xc9bf, + (q15_t)0x61e8, (q15_t)0xc9b8, (q15_t)0x61de, (q15_t)0xc9b2, (q15_t)0x61d3, (q15_t)0xc9ab, (q15_t)0x61c8, (q15_t)0xc9a4, + (q15_t)0x61be, (q15_t)0xc99e, (q15_t)0x61b3, (q15_t)0xc997, (q15_t)0x61a8, (q15_t)0xc991, (q15_t)0x619e, (q15_t)0xc98a, + (q15_t)0x6193, (q15_t)0xc983, (q15_t)0x6188, (q15_t)0xc97d, (q15_t)0x617d, (q15_t)0xc976, (q15_t)0x6173, (q15_t)0xc970, + (q15_t)0x6168, (q15_t)0xc969, (q15_t)0x615d, (q15_t)0xc963, (q15_t)0x6153, (q15_t)0xc95c, (q15_t)0x6148, (q15_t)0xc955, + (q15_t)0x613d, (q15_t)0xc94f, (q15_t)0x6132, (q15_t)0xc948, (q15_t)0x6128, (q15_t)0xc942, (q15_t)0x611d, (q15_t)0xc93b, + (q15_t)0x6112, (q15_t)0xc935, (q15_t)0x6107, (q15_t)0xc92e, (q15_t)0x60fd, (q15_t)0xc928, (q15_t)0x60f2, (q15_t)0xc921, + (q15_t)0x60e7, (q15_t)0xc91b, (q15_t)0x60dc, (q15_t)0xc915, (q15_t)0x60d1, (q15_t)0xc90e, (q15_t)0x60c7, (q15_t)0xc908, + (q15_t)0x60bc, (q15_t)0xc901, (q15_t)0x60b1, (q15_t)0xc8fb, (q15_t)0x60a6, (q15_t)0xc8f4, (q15_t)0x609b, (q15_t)0xc8ee, + (q15_t)0x6091, (q15_t)0xc8e8, (q15_t)0x6086, (q15_t)0xc8e1, (q15_t)0x607b, (q15_t)0xc8db, (q15_t)0x6070, (q15_t)0xc8d4, + (q15_t)0x6065, (q15_t)0xc8ce, (q15_t)0x605b, (q15_t)0xc8c8, (q15_t)0x6050, (q15_t)0xc8c1, (q15_t)0x6045, (q15_t)0xc8bb, + (q15_t)0x603a, (q15_t)0xc8b5, (q15_t)0x602f, (q15_t)0xc8ae, (q15_t)0x6024, (q15_t)0xc8a8, (q15_t)0x6019, (q15_t)0xc8a2, + (q15_t)0x600f, (q15_t)0xc89b, (q15_t)0x6004, (q15_t)0xc895, (q15_t)0x5ff9, (q15_t)0xc88f, (q15_t)0x5fee, (q15_t)0xc889, + (q15_t)0x5fe3, (q15_t)0xc882, (q15_t)0x5fd8, (q15_t)0xc87c, (q15_t)0x5fcd, (q15_t)0xc876, (q15_t)0x5fc2, (q15_t)0xc870, + (q15_t)0x5fb7, (q15_t)0xc869, (q15_t)0x5fac, (q15_t)0xc863, (q15_t)0x5fa2, (q15_t)0xc85d, (q15_t)0x5f97, (q15_t)0xc857, + (q15_t)0x5f8c, (q15_t)0xc850, (q15_t)0x5f81, (q15_t)0xc84a, (q15_t)0x5f76, (q15_t)0xc844, (q15_t)0x5f6b, (q15_t)0xc83e, + (q15_t)0x5f60, (q15_t)0xc838, (q15_t)0x5f55, (q15_t)0xc832, (q15_t)0x5f4a, (q15_t)0xc82b, (q15_t)0x5f3f, (q15_t)0xc825, + (q15_t)0x5f34, (q15_t)0xc81f, (q15_t)0x5f29, (q15_t)0xc819, (q15_t)0x5f1e, (q15_t)0xc813, (q15_t)0x5f13, (q15_t)0xc80d, + (q15_t)0x5f08, (q15_t)0xc807, (q15_t)0x5efd, (q15_t)0xc801, (q15_t)0x5ef2, (q15_t)0xc7fb, (q15_t)0x5ee7, (q15_t)0xc7f5, + (q15_t)0x5edc, (q15_t)0xc7ee, (q15_t)0x5ed1, (q15_t)0xc7e8, (q15_t)0x5ec6, (q15_t)0xc7e2, (q15_t)0x5ebb, (q15_t)0xc7dc, + (q15_t)0x5eb0, (q15_t)0xc7d6, (q15_t)0x5ea5, (q15_t)0xc7d0, (q15_t)0x5e9a, (q15_t)0xc7ca, (q15_t)0x5e8f, (q15_t)0xc7c4, + (q15_t)0x5e84, (q15_t)0xc7be, (q15_t)0x5e79, (q15_t)0xc7b8, (q15_t)0x5e6e, (q15_t)0xc7b2, (q15_t)0x5e63, (q15_t)0xc7ac, + (q15_t)0x5e58, (q15_t)0xc7a6, (q15_t)0x5e4d, (q15_t)0xc7a0, (q15_t)0x5e42, (q15_t)0xc79a, (q15_t)0x5e36, (q15_t)0xc795, + (q15_t)0x5e2b, (q15_t)0xc78f, (q15_t)0x5e20, (q15_t)0xc789, (q15_t)0x5e15, (q15_t)0xc783, (q15_t)0x5e0a, (q15_t)0xc77d, + (q15_t)0x5dff, (q15_t)0xc777, (q15_t)0x5df4, (q15_t)0xc771, (q15_t)0x5de9, (q15_t)0xc76b, (q15_t)0x5dde, (q15_t)0xc765, + (q15_t)0x5dd3, (q15_t)0xc75f, (q15_t)0x5dc7, (q15_t)0xc75a, (q15_t)0x5dbc, (q15_t)0xc754, (q15_t)0x5db1, (q15_t)0xc74e, + (q15_t)0x5da6, (q15_t)0xc748, (q15_t)0x5d9b, (q15_t)0xc742, (q15_t)0x5d90, (q15_t)0xc73d, (q15_t)0x5d85, (q15_t)0xc737, + (q15_t)0x5d79, (q15_t)0xc731, (q15_t)0x5d6e, (q15_t)0xc72b, (q15_t)0x5d63, (q15_t)0xc725, (q15_t)0x5d58, (q15_t)0xc720, + (q15_t)0x5d4d, (q15_t)0xc71a, (q15_t)0x5d42, (q15_t)0xc714, (q15_t)0x5d36, (q15_t)0xc70e, (q15_t)0x5d2b, (q15_t)0xc709, + (q15_t)0x5d20, (q15_t)0xc703, (q15_t)0x5d15, (q15_t)0xc6fd, (q15_t)0x5d0a, (q15_t)0xc6f7, (q15_t)0x5cff, (q15_t)0xc6f2, + (q15_t)0x5cf3, (q15_t)0xc6ec, (q15_t)0x5ce8, (q15_t)0xc6e6, (q15_t)0x5cdd, (q15_t)0xc6e1, (q15_t)0x5cd2, (q15_t)0xc6db, + (q15_t)0x5cc6, (q15_t)0xc6d5, (q15_t)0x5cbb, (q15_t)0xc6d0, (q15_t)0x5cb0, (q15_t)0xc6ca, (q15_t)0x5ca5, (q15_t)0xc6c5, + (q15_t)0x5c99, (q15_t)0xc6bf, (q15_t)0x5c8e, (q15_t)0xc6b9, (q15_t)0x5c83, (q15_t)0xc6b4, (q15_t)0x5c78, (q15_t)0xc6ae, + (q15_t)0x5c6c, (q15_t)0xc6a8, (q15_t)0x5c61, (q15_t)0xc6a3, (q15_t)0x5c56, (q15_t)0xc69d, (q15_t)0x5c4b, (q15_t)0xc698, + (q15_t)0x5c3f, (q15_t)0xc692, (q15_t)0x5c34, (q15_t)0xc68d, (q15_t)0x5c29, (q15_t)0xc687, (q15_t)0x5c1e, (q15_t)0xc682, + (q15_t)0x5c12, (q15_t)0xc67c, (q15_t)0x5c07, (q15_t)0xc677, (q15_t)0x5bfc, (q15_t)0xc671, (q15_t)0x5bf0, (q15_t)0xc66c, + (q15_t)0x5be5, (q15_t)0xc666, (q15_t)0x5bda, (q15_t)0xc661, (q15_t)0x5bce, (q15_t)0xc65b, (q15_t)0x5bc3, (q15_t)0xc656, + (q15_t)0x5bb8, (q15_t)0xc650, (q15_t)0x5bac, (q15_t)0xc64b, (q15_t)0x5ba1, (q15_t)0xc645, (q15_t)0x5b96, (q15_t)0xc640, + (q15_t)0x5b8a, (q15_t)0xc63b, (q15_t)0x5b7f, (q15_t)0xc635, (q15_t)0x5b74, (q15_t)0xc630, (q15_t)0x5b68, (q15_t)0xc62a, + (q15_t)0x5b5d, (q15_t)0xc625, (q15_t)0x5b52, (q15_t)0xc620, (q15_t)0x5b46, (q15_t)0xc61a, (q15_t)0x5b3b, (q15_t)0xc615, + (q15_t)0x5b30, (q15_t)0xc610, (q15_t)0x5b24, (q15_t)0xc60a, (q15_t)0x5b19, (q15_t)0xc605, (q15_t)0x5b0d, (q15_t)0xc600, + (q15_t)0x5b02, (q15_t)0xc5fa, (q15_t)0x5af7, (q15_t)0xc5f5, (q15_t)0x5aeb, (q15_t)0xc5f0, (q15_t)0x5ae0, (q15_t)0xc5ea, + (q15_t)0x5ad4, (q15_t)0xc5e5, (q15_t)0x5ac9, (q15_t)0xc5e0, (q15_t)0x5abe, (q15_t)0xc5db, (q15_t)0x5ab2, (q15_t)0xc5d5, + (q15_t)0x5aa7, (q15_t)0xc5d0, (q15_t)0x5a9b, (q15_t)0xc5cb, (q15_t)0x5a90, (q15_t)0xc5c6, (q15_t)0x5a84, (q15_t)0xc5c1, + (q15_t)0x5a79, (q15_t)0xc5bb, (q15_t)0x5a6e, (q15_t)0xc5b6, (q15_t)0x5a62, (q15_t)0xc5b1, (q15_t)0x5a57, (q15_t)0xc5ac, + (q15_t)0x5a4b, (q15_t)0xc5a7, (q15_t)0x5a40, (q15_t)0xc5a1, (q15_t)0x5a34, (q15_t)0xc59c, (q15_t)0x5a29, (q15_t)0xc597, + (q15_t)0x5a1d, (q15_t)0xc592, (q15_t)0x5a12, (q15_t)0xc58d, (q15_t)0x5a06, (q15_t)0xc588, (q15_t)0x59fb, (q15_t)0xc583, + (q15_t)0x59ef, (q15_t)0xc57e, (q15_t)0x59e4, (q15_t)0xc578, (q15_t)0x59d8, (q15_t)0xc573, (q15_t)0x59cd, (q15_t)0xc56e, + (q15_t)0x59c1, (q15_t)0xc569, (q15_t)0x59b6, (q15_t)0xc564, (q15_t)0x59aa, (q15_t)0xc55f, (q15_t)0x599f, (q15_t)0xc55a, + (q15_t)0x5993, (q15_t)0xc555, (q15_t)0x5988, (q15_t)0xc550, (q15_t)0x597c, (q15_t)0xc54b, (q15_t)0x5971, (q15_t)0xc546, + (q15_t)0x5965, (q15_t)0xc541, (q15_t)0x595a, (q15_t)0xc53c, (q15_t)0x594e, (q15_t)0xc537, (q15_t)0x5943, (q15_t)0xc532, + (q15_t)0x5937, (q15_t)0xc52d, (q15_t)0x592c, (q15_t)0xc528, (q15_t)0x5920, (q15_t)0xc523, (q15_t)0x5914, (q15_t)0xc51e, + (q15_t)0x5909, (q15_t)0xc51a, (q15_t)0x58fd, (q15_t)0xc515, (q15_t)0x58f2, (q15_t)0xc510, (q15_t)0x58e6, (q15_t)0xc50b, + (q15_t)0x58db, (q15_t)0xc506, (q15_t)0x58cf, (q15_t)0xc501, (q15_t)0x58c3, (q15_t)0xc4fc, (q15_t)0x58b8, (q15_t)0xc4f7, + (q15_t)0x58ac, (q15_t)0xc4f2, (q15_t)0x58a1, (q15_t)0xc4ee, (q15_t)0x5895, (q15_t)0xc4e9, (q15_t)0x5889, (q15_t)0xc4e4, + (q15_t)0x587e, (q15_t)0xc4df, (q15_t)0x5872, (q15_t)0xc4da, (q15_t)0x5867, (q15_t)0xc4d6, (q15_t)0x585b, (q15_t)0xc4d1, + (q15_t)0x584f, (q15_t)0xc4cc, (q15_t)0x5844, (q15_t)0xc4c7, (q15_t)0x5838, (q15_t)0xc4c2, (q15_t)0x582d, (q15_t)0xc4be, + (q15_t)0x5821, (q15_t)0xc4b9, (q15_t)0x5815, (q15_t)0xc4b4, (q15_t)0x580a, (q15_t)0xc4b0, (q15_t)0x57fe, (q15_t)0xc4ab, + (q15_t)0x57f2, (q15_t)0xc4a6, (q15_t)0x57e7, (q15_t)0xc4a1, (q15_t)0x57db, (q15_t)0xc49d, (q15_t)0x57cf, (q15_t)0xc498, + (q15_t)0x57c4, (q15_t)0xc493, (q15_t)0x57b8, (q15_t)0xc48f, (q15_t)0x57ac, (q15_t)0xc48a, (q15_t)0x57a1, (q15_t)0xc485, + (q15_t)0x5795, (q15_t)0xc481, (q15_t)0x5789, (q15_t)0xc47c, (q15_t)0x577e, (q15_t)0xc478, (q15_t)0x5772, (q15_t)0xc473, + (q15_t)0x5766, (q15_t)0xc46e, (q15_t)0x575b, (q15_t)0xc46a, (q15_t)0x574f, (q15_t)0xc465, (q15_t)0x5743, (q15_t)0xc461, + (q15_t)0x5737, (q15_t)0xc45c, (q15_t)0x572c, (q15_t)0xc457, (q15_t)0x5720, (q15_t)0xc453, (q15_t)0x5714, (q15_t)0xc44e, + (q15_t)0x5709, (q15_t)0xc44a, (q15_t)0x56fd, (q15_t)0xc445, (q15_t)0x56f1, (q15_t)0xc441, (q15_t)0x56e5, (q15_t)0xc43c, + (q15_t)0x56da, (q15_t)0xc438, (q15_t)0x56ce, (q15_t)0xc433, (q15_t)0x56c2, (q15_t)0xc42f, (q15_t)0x56b6, (q15_t)0xc42a, + (q15_t)0x56ab, (q15_t)0xc426, (q15_t)0x569f, (q15_t)0xc422, (q15_t)0x5693, (q15_t)0xc41d, (q15_t)0x5687, (q15_t)0xc419, + (q15_t)0x567c, (q15_t)0xc414, (q15_t)0x5670, (q15_t)0xc410, (q15_t)0x5664, (q15_t)0xc40b, (q15_t)0x5658, (q15_t)0xc407, + (q15_t)0x564c, (q15_t)0xc403, (q15_t)0x5641, (q15_t)0xc3fe, (q15_t)0x5635, (q15_t)0xc3fa, (q15_t)0x5629, (q15_t)0xc3f6, + (q15_t)0x561d, (q15_t)0xc3f1, (q15_t)0x5612, (q15_t)0xc3ed, (q15_t)0x5606, (q15_t)0xc3e9, (q15_t)0x55fa, (q15_t)0xc3e4, + (q15_t)0x55ee, (q15_t)0xc3e0, (q15_t)0x55e2, (q15_t)0xc3dc, (q15_t)0x55d7, (q15_t)0xc3d7, (q15_t)0x55cb, (q15_t)0xc3d3, + (q15_t)0x55bf, (q15_t)0xc3cf, (q15_t)0x55b3, (q15_t)0xc3ca, (q15_t)0x55a7, (q15_t)0xc3c6, (q15_t)0x559b, (q15_t)0xc3c2, + (q15_t)0x5590, (q15_t)0xc3be, (q15_t)0x5584, (q15_t)0xc3ba, (q15_t)0x5578, (q15_t)0xc3b5, (q15_t)0x556c, (q15_t)0xc3b1, + (q15_t)0x5560, (q15_t)0xc3ad, (q15_t)0x5554, (q15_t)0xc3a9, (q15_t)0x5549, (q15_t)0xc3a5, (q15_t)0x553d, (q15_t)0xc3a0, + (q15_t)0x5531, (q15_t)0xc39c, (q15_t)0x5525, (q15_t)0xc398, (q15_t)0x5519, (q15_t)0xc394, (q15_t)0x550d, (q15_t)0xc390, + (q15_t)0x5501, (q15_t)0xc38c, (q15_t)0x54f6, (q15_t)0xc387, (q15_t)0x54ea, (q15_t)0xc383, (q15_t)0x54de, (q15_t)0xc37f, + (q15_t)0x54d2, (q15_t)0xc37b, (q15_t)0x54c6, (q15_t)0xc377, (q15_t)0x54ba, (q15_t)0xc373, (q15_t)0x54ae, (q15_t)0xc36f, + (q15_t)0x54a2, (q15_t)0xc36b, (q15_t)0x5496, (q15_t)0xc367, (q15_t)0x548b, (q15_t)0xc363, (q15_t)0x547f, (q15_t)0xc35f, + (q15_t)0x5473, (q15_t)0xc35b, (q15_t)0x5467, (q15_t)0xc357, (q15_t)0x545b, (q15_t)0xc353, (q15_t)0x544f, (q15_t)0xc34f, + (q15_t)0x5443, (q15_t)0xc34b, (q15_t)0x5437, (q15_t)0xc347, (q15_t)0x542b, (q15_t)0xc343, (q15_t)0x541f, (q15_t)0xc33f, + (q15_t)0x5413, (q15_t)0xc33b, (q15_t)0x5407, (q15_t)0xc337, (q15_t)0x53fb, (q15_t)0xc333, (q15_t)0x53f0, (q15_t)0xc32f, + (q15_t)0x53e4, (q15_t)0xc32b, (q15_t)0x53d8, (q15_t)0xc327, (q15_t)0x53cc, (q15_t)0xc323, (q15_t)0x53c0, (q15_t)0xc320, + (q15_t)0x53b4, (q15_t)0xc31c, (q15_t)0x53a8, (q15_t)0xc318, (q15_t)0x539c, (q15_t)0xc314, (q15_t)0x5390, (q15_t)0xc310, + (q15_t)0x5384, (q15_t)0xc30c, (q15_t)0x5378, (q15_t)0xc308, (q15_t)0x536c, (q15_t)0xc305, (q15_t)0x5360, (q15_t)0xc301, + (q15_t)0x5354, (q15_t)0xc2fd, (q15_t)0x5348, (q15_t)0xc2f9, (q15_t)0x533c, (q15_t)0xc2f5, (q15_t)0x5330, (q15_t)0xc2f2, + (q15_t)0x5324, (q15_t)0xc2ee, (q15_t)0x5318, (q15_t)0xc2ea, (q15_t)0x530c, (q15_t)0xc2e6, (q15_t)0x5300, (q15_t)0xc2e3, + (q15_t)0x52f4, (q15_t)0xc2df, (q15_t)0x52e8, (q15_t)0xc2db, (q15_t)0x52dc, (q15_t)0xc2d8, (q15_t)0x52d0, (q15_t)0xc2d4, + (q15_t)0x52c4, (q15_t)0xc2d0, (q15_t)0x52b8, (q15_t)0xc2cc, (q15_t)0x52ac, (q15_t)0xc2c9, (q15_t)0x52a0, (q15_t)0xc2c5, + (q15_t)0x5294, (q15_t)0xc2c1, (q15_t)0x5288, (q15_t)0xc2be, (q15_t)0x527c, (q15_t)0xc2ba, (q15_t)0x5270, (q15_t)0xc2b7, + (q15_t)0x5264, (q15_t)0xc2b3, (q15_t)0x5258, (q15_t)0xc2af, (q15_t)0x524c, (q15_t)0xc2ac, (q15_t)0x5240, (q15_t)0xc2a8, + (q15_t)0x5234, (q15_t)0xc2a5, (q15_t)0x5228, (q15_t)0xc2a1, (q15_t)0x521c, (q15_t)0xc29d, (q15_t)0x5210, (q15_t)0xc29a, + (q15_t)0x5204, (q15_t)0xc296, (q15_t)0x51f7, (q15_t)0xc293, (q15_t)0x51eb, (q15_t)0xc28f, (q15_t)0x51df, (q15_t)0xc28c, + (q15_t)0x51d3, (q15_t)0xc288, (q15_t)0x51c7, (q15_t)0xc285, (q15_t)0x51bb, (q15_t)0xc281, (q15_t)0x51af, (q15_t)0xc27e, + (q15_t)0x51a3, (q15_t)0xc27a, (q15_t)0x5197, (q15_t)0xc277, (q15_t)0x518b, (q15_t)0xc273, (q15_t)0x517f, (q15_t)0xc270, + (q15_t)0x5173, (q15_t)0xc26d, (q15_t)0x5167, (q15_t)0xc269, (q15_t)0x515a, (q15_t)0xc266, (q15_t)0x514e, (q15_t)0xc262, + (q15_t)0x5142, (q15_t)0xc25f, (q15_t)0x5136, (q15_t)0xc25c, (q15_t)0x512a, (q15_t)0xc258, (q15_t)0x511e, (q15_t)0xc255, + (q15_t)0x5112, (q15_t)0xc251, (q15_t)0x5106, (q15_t)0xc24e, (q15_t)0x50fa, (q15_t)0xc24b, (q15_t)0x50ed, (q15_t)0xc247, + (q15_t)0x50e1, (q15_t)0xc244, (q15_t)0x50d5, (q15_t)0xc241, (q15_t)0x50c9, (q15_t)0xc23e, (q15_t)0x50bd, (q15_t)0xc23a, + (q15_t)0x50b1, (q15_t)0xc237, (q15_t)0x50a5, (q15_t)0xc234, (q15_t)0x5099, (q15_t)0xc230, (q15_t)0x508c, (q15_t)0xc22d, + (q15_t)0x5080, (q15_t)0xc22a, (q15_t)0x5074, (q15_t)0xc227, (q15_t)0x5068, (q15_t)0xc223, (q15_t)0x505c, (q15_t)0xc220, + (q15_t)0x5050, (q15_t)0xc21d, (q15_t)0x5044, (q15_t)0xc21a, (q15_t)0x5037, (q15_t)0xc217, (q15_t)0x502b, (q15_t)0xc213, + (q15_t)0x501f, (q15_t)0xc210, (q15_t)0x5013, (q15_t)0xc20d, (q15_t)0x5007, (q15_t)0xc20a, (q15_t)0x4ffb, (q15_t)0xc207, + (q15_t)0x4fee, (q15_t)0xc204, (q15_t)0x4fe2, (q15_t)0xc201, (q15_t)0x4fd6, (q15_t)0xc1fd, (q15_t)0x4fca, (q15_t)0xc1fa, + (q15_t)0x4fbe, (q15_t)0xc1f7, (q15_t)0x4fb2, (q15_t)0xc1f4, (q15_t)0x4fa5, (q15_t)0xc1f1, (q15_t)0x4f99, (q15_t)0xc1ee, + (q15_t)0x4f8d, (q15_t)0xc1eb, (q15_t)0x4f81, (q15_t)0xc1e8, (q15_t)0x4f75, (q15_t)0xc1e5, (q15_t)0x4f68, (q15_t)0xc1e2, + (q15_t)0x4f5c, (q15_t)0xc1df, (q15_t)0x4f50, (q15_t)0xc1dc, (q15_t)0x4f44, (q15_t)0xc1d9, (q15_t)0x4f38, (q15_t)0xc1d6, + (q15_t)0x4f2b, (q15_t)0xc1d3, (q15_t)0x4f1f, (q15_t)0xc1d0, (q15_t)0x4f13, (q15_t)0xc1cd, (q15_t)0x4f07, (q15_t)0xc1ca, + (q15_t)0x4efb, (q15_t)0xc1c7, (q15_t)0x4eee, (q15_t)0xc1c4, (q15_t)0x4ee2, (q15_t)0xc1c1, (q15_t)0x4ed6, (q15_t)0xc1be, + (q15_t)0x4eca, (q15_t)0xc1bb, (q15_t)0x4ebd, (q15_t)0xc1b8, (q15_t)0x4eb1, (q15_t)0xc1b6, (q15_t)0x4ea5, (q15_t)0xc1b3, + (q15_t)0x4e99, (q15_t)0xc1b0, (q15_t)0x4e8c, (q15_t)0xc1ad, (q15_t)0x4e80, (q15_t)0xc1aa, (q15_t)0x4e74, (q15_t)0xc1a7, + (q15_t)0x4e68, (q15_t)0xc1a4, (q15_t)0x4e5c, (q15_t)0xc1a2, (q15_t)0x4e4f, (q15_t)0xc19f, (q15_t)0x4e43, (q15_t)0xc19c, + (q15_t)0x4e37, (q15_t)0xc199, (q15_t)0x4e2b, (q15_t)0xc196, (q15_t)0x4e1e, (q15_t)0xc194, (q15_t)0x4e12, (q15_t)0xc191, + (q15_t)0x4e06, (q15_t)0xc18e, (q15_t)0x4df9, (q15_t)0xc18b, (q15_t)0x4ded, (q15_t)0xc189, (q15_t)0x4de1, (q15_t)0xc186, + (q15_t)0x4dd5, (q15_t)0xc183, (q15_t)0x4dc8, (q15_t)0xc180, (q15_t)0x4dbc, (q15_t)0xc17e, (q15_t)0x4db0, (q15_t)0xc17b, + (q15_t)0x4da4, (q15_t)0xc178, (q15_t)0x4d97, (q15_t)0xc176, (q15_t)0x4d8b, (q15_t)0xc173, (q15_t)0x4d7f, (q15_t)0xc170, + (q15_t)0x4d72, (q15_t)0xc16e, (q15_t)0x4d66, (q15_t)0xc16b, (q15_t)0x4d5a, (q15_t)0xc168, (q15_t)0x4d4e, (q15_t)0xc166, + (q15_t)0x4d41, (q15_t)0xc163, (q15_t)0x4d35, (q15_t)0xc161, (q15_t)0x4d29, (q15_t)0xc15e, (q15_t)0x4d1c, (q15_t)0xc15b, + (q15_t)0x4d10, (q15_t)0xc159, (q15_t)0x4d04, (q15_t)0xc156, (q15_t)0x4cf8, (q15_t)0xc154, (q15_t)0x4ceb, (q15_t)0xc151, + (q15_t)0x4cdf, (q15_t)0xc14f, (q15_t)0x4cd3, (q15_t)0xc14c, (q15_t)0x4cc6, (q15_t)0xc14a, (q15_t)0x4cba, (q15_t)0xc147, + (q15_t)0x4cae, (q15_t)0xc145, (q15_t)0x4ca1, (q15_t)0xc142, (q15_t)0x4c95, (q15_t)0xc140, (q15_t)0x4c89, (q15_t)0xc13d, + (q15_t)0x4c7c, (q15_t)0xc13b, (q15_t)0x4c70, (q15_t)0xc138, (q15_t)0x4c64, (q15_t)0xc136, (q15_t)0x4c57, (q15_t)0xc134, + (q15_t)0x4c4b, (q15_t)0xc131, (q15_t)0x4c3f, (q15_t)0xc12f, (q15_t)0x4c32, (q15_t)0xc12c, (q15_t)0x4c26, (q15_t)0xc12a, + (q15_t)0x4c1a, (q15_t)0xc128, (q15_t)0x4c0d, (q15_t)0xc125, (q15_t)0x4c01, (q15_t)0xc123, (q15_t)0x4bf5, (q15_t)0xc120, + (q15_t)0x4be8, (q15_t)0xc11e, (q15_t)0x4bdc, (q15_t)0xc11c, (q15_t)0x4bd0, (q15_t)0xc119, (q15_t)0x4bc3, (q15_t)0xc117, + (q15_t)0x4bb7, (q15_t)0xc115, (q15_t)0x4bab, (q15_t)0xc113, (q15_t)0x4b9e, (q15_t)0xc110, (q15_t)0x4b92, (q15_t)0xc10e, + (q15_t)0x4b85, (q15_t)0xc10c, (q15_t)0x4b79, (q15_t)0xc109, (q15_t)0x4b6d, (q15_t)0xc107, (q15_t)0x4b60, (q15_t)0xc105, + (q15_t)0x4b54, (q15_t)0xc103, (q15_t)0x4b48, (q15_t)0xc100, (q15_t)0x4b3b, (q15_t)0xc0fe, (q15_t)0x4b2f, (q15_t)0xc0fc, + (q15_t)0x4b23, (q15_t)0xc0fa, (q15_t)0x4b16, (q15_t)0xc0f8, (q15_t)0x4b0a, (q15_t)0xc0f6, (q15_t)0x4afd, (q15_t)0xc0f3, + (q15_t)0x4af1, (q15_t)0xc0f1, (q15_t)0x4ae5, (q15_t)0xc0ef, (q15_t)0x4ad8, (q15_t)0xc0ed, (q15_t)0x4acc, (q15_t)0xc0eb, + (q15_t)0x4ac0, (q15_t)0xc0e9, (q15_t)0x4ab3, (q15_t)0xc0e7, (q15_t)0x4aa7, (q15_t)0xc0e4, (q15_t)0x4a9a, (q15_t)0xc0e2, + (q15_t)0x4a8e, (q15_t)0xc0e0, (q15_t)0x4a82, (q15_t)0xc0de, (q15_t)0x4a75, (q15_t)0xc0dc, (q15_t)0x4a69, (q15_t)0xc0da, + (q15_t)0x4a5c, (q15_t)0xc0d8, (q15_t)0x4a50, (q15_t)0xc0d6, (q15_t)0x4a44, (q15_t)0xc0d4, (q15_t)0x4a37, (q15_t)0xc0d2, + (q15_t)0x4a2b, (q15_t)0xc0d0, (q15_t)0x4a1e, (q15_t)0xc0ce, (q15_t)0x4a12, (q15_t)0xc0cc, (q15_t)0x4a06, (q15_t)0xc0ca, + (q15_t)0x49f9, (q15_t)0xc0c8, (q15_t)0x49ed, (q15_t)0xc0c6, (q15_t)0x49e0, (q15_t)0xc0c4, (q15_t)0x49d4, (q15_t)0xc0c2, + (q15_t)0x49c7, (q15_t)0xc0c0, (q15_t)0x49bb, (q15_t)0xc0be, (q15_t)0x49af, (q15_t)0xc0bd, (q15_t)0x49a2, (q15_t)0xc0bb, + (q15_t)0x4996, (q15_t)0xc0b9, (q15_t)0x4989, (q15_t)0xc0b7, (q15_t)0x497d, (q15_t)0xc0b5, (q15_t)0x4970, (q15_t)0xc0b3, + (q15_t)0x4964, (q15_t)0xc0b1, (q15_t)0x4958, (q15_t)0xc0af, (q15_t)0x494b, (q15_t)0xc0ae, (q15_t)0x493f, (q15_t)0xc0ac, + (q15_t)0x4932, (q15_t)0xc0aa, (q15_t)0x4926, (q15_t)0xc0a8, (q15_t)0x4919, (q15_t)0xc0a6, (q15_t)0x490d, (q15_t)0xc0a5, + (q15_t)0x4901, (q15_t)0xc0a3, (q15_t)0x48f4, (q15_t)0xc0a1, (q15_t)0x48e8, (q15_t)0xc09f, (q15_t)0x48db, (q15_t)0xc09e, + (q15_t)0x48cf, (q15_t)0xc09c, (q15_t)0x48c2, (q15_t)0xc09a, (q15_t)0x48b6, (q15_t)0xc098, (q15_t)0x48a9, (q15_t)0xc097, + (q15_t)0x489d, (q15_t)0xc095, (q15_t)0x4891, (q15_t)0xc093, (q15_t)0x4884, (q15_t)0xc092, (q15_t)0x4878, (q15_t)0xc090, + (q15_t)0x486b, (q15_t)0xc08e, (q15_t)0x485f, (q15_t)0xc08d, (q15_t)0x4852, (q15_t)0xc08b, (q15_t)0x4846, (q15_t)0xc089, + (q15_t)0x4839, (q15_t)0xc088, (q15_t)0x482d, (q15_t)0xc086, (q15_t)0x4820, (q15_t)0xc085, (q15_t)0x4814, (q15_t)0xc083, + (q15_t)0x4807, (q15_t)0xc081, (q15_t)0x47fb, (q15_t)0xc080, (q15_t)0x47ef, (q15_t)0xc07e, (q15_t)0x47e2, (q15_t)0xc07d, + (q15_t)0x47d6, (q15_t)0xc07b, (q15_t)0x47c9, (q15_t)0xc07a, (q15_t)0x47bd, (q15_t)0xc078, (q15_t)0x47b0, (q15_t)0xc077, + (q15_t)0x47a4, (q15_t)0xc075, (q15_t)0x4797, (q15_t)0xc074, (q15_t)0x478b, (q15_t)0xc072, (q15_t)0x477e, (q15_t)0xc071, + (q15_t)0x4772, (q15_t)0xc06f, (q15_t)0x4765, (q15_t)0xc06e, (q15_t)0x4759, (q15_t)0xc06c, (q15_t)0x474c, (q15_t)0xc06b, + (q15_t)0x4740, (q15_t)0xc069, (q15_t)0x4733, (q15_t)0xc068, (q15_t)0x4727, (q15_t)0xc067, (q15_t)0x471a, (q15_t)0xc065, + (q15_t)0x470e, (q15_t)0xc064, (q15_t)0x4701, (q15_t)0xc062, (q15_t)0x46f5, (q15_t)0xc061, (q15_t)0x46e8, (q15_t)0xc060, + (q15_t)0x46dc, (q15_t)0xc05e, (q15_t)0x46cf, (q15_t)0xc05d, (q15_t)0x46c3, (q15_t)0xc05c, (q15_t)0x46b6, (q15_t)0xc05a, + (q15_t)0x46aa, (q15_t)0xc059, (q15_t)0x469d, (q15_t)0xc058, (q15_t)0x4691, (q15_t)0xc056, (q15_t)0x4684, (q15_t)0xc055, + (q15_t)0x4678, (q15_t)0xc054, (q15_t)0x466b, (q15_t)0xc053, (q15_t)0x465f, (q15_t)0xc051, (q15_t)0x4652, (q15_t)0xc050, + (q15_t)0x4646, (q15_t)0xc04f, (q15_t)0x4639, (q15_t)0xc04e, (q15_t)0x462d, (q15_t)0xc04c, (q15_t)0x4620, (q15_t)0xc04b, + (q15_t)0x4614, (q15_t)0xc04a, (q15_t)0x4607, (q15_t)0xc049, (q15_t)0x45fb, (q15_t)0xc048, (q15_t)0x45ee, (q15_t)0xc047, + (q15_t)0x45e2, (q15_t)0xc045, (q15_t)0x45d5, (q15_t)0xc044, (q15_t)0x45c9, (q15_t)0xc043, (q15_t)0x45bc, (q15_t)0xc042, + (q15_t)0x45b0, (q15_t)0xc041, (q15_t)0x45a3, (q15_t)0xc040, (q15_t)0x4597, (q15_t)0xc03f, (q15_t)0x458a, (q15_t)0xc03d, + (q15_t)0x457e, (q15_t)0xc03c, (q15_t)0x4571, (q15_t)0xc03b, (q15_t)0x4565, (q15_t)0xc03a, (q15_t)0x4558, (q15_t)0xc039, + (q15_t)0x454c, (q15_t)0xc038, (q15_t)0x453f, (q15_t)0xc037, (q15_t)0x4533, (q15_t)0xc036, (q15_t)0x4526, (q15_t)0xc035, + (q15_t)0x451a, (q15_t)0xc034, (q15_t)0x450d, (q15_t)0xc033, (q15_t)0x4500, (q15_t)0xc032, (q15_t)0x44f4, (q15_t)0xc031, + (q15_t)0x44e7, (q15_t)0xc030, (q15_t)0x44db, (q15_t)0xc02f, (q15_t)0x44ce, (q15_t)0xc02e, (q15_t)0x44c2, (q15_t)0xc02d, + (q15_t)0x44b5, (q15_t)0xc02c, (q15_t)0x44a9, (q15_t)0xc02b, (q15_t)0x449c, (q15_t)0xc02b, (q15_t)0x4490, (q15_t)0xc02a, + (q15_t)0x4483, (q15_t)0xc029, (q15_t)0x4477, (q15_t)0xc028, (q15_t)0x446a, (q15_t)0xc027, (q15_t)0x445e, (q15_t)0xc026, + (q15_t)0x4451, (q15_t)0xc025, (q15_t)0x4444, (q15_t)0xc024, (q15_t)0x4438, (q15_t)0xc024, (q15_t)0x442b, (q15_t)0xc023, + (q15_t)0x441f, (q15_t)0xc022, (q15_t)0x4412, (q15_t)0xc021, (q15_t)0x4406, (q15_t)0xc020, (q15_t)0x43f9, (q15_t)0xc020, + (q15_t)0x43ed, (q15_t)0xc01f, (q15_t)0x43e0, (q15_t)0xc01e, (q15_t)0x43d4, (q15_t)0xc01d, (q15_t)0x43c7, (q15_t)0xc01d, + (q15_t)0x43bb, (q15_t)0xc01c, (q15_t)0x43ae, (q15_t)0xc01b, (q15_t)0x43a1, (q15_t)0xc01a, (q15_t)0x4395, (q15_t)0xc01a, + (q15_t)0x4388, (q15_t)0xc019, (q15_t)0x437c, (q15_t)0xc018, (q15_t)0x436f, (q15_t)0xc018, (q15_t)0x4363, (q15_t)0xc017, + (q15_t)0x4356, (q15_t)0xc016, (q15_t)0x434a, (q15_t)0xc016, (q15_t)0x433d, (q15_t)0xc015, (q15_t)0x4330, (q15_t)0xc014, + (q15_t)0x4324, (q15_t)0xc014, (q15_t)0x4317, (q15_t)0xc013, (q15_t)0x430b, (q15_t)0xc013, (q15_t)0x42fe, (q15_t)0xc012, + (q15_t)0x42f2, (q15_t)0xc011, (q15_t)0x42e5, (q15_t)0xc011, (q15_t)0x42d9, (q15_t)0xc010, (q15_t)0x42cc, (q15_t)0xc010, + (q15_t)0x42c0, (q15_t)0xc00f, (q15_t)0x42b3, (q15_t)0xc00f, (q15_t)0x42a6, (q15_t)0xc00e, (q15_t)0x429a, (q15_t)0xc00e, + (q15_t)0x428d, (q15_t)0xc00d, (q15_t)0x4281, (q15_t)0xc00d, (q15_t)0x4274, (q15_t)0xc00c, (q15_t)0x4268, (q15_t)0xc00c, + (q15_t)0x425b, (q15_t)0xc00b, (q15_t)0x424e, (q15_t)0xc00b, (q15_t)0x4242, (q15_t)0xc00a, (q15_t)0x4235, (q15_t)0xc00a, + (q15_t)0x4229, (q15_t)0xc009, (q15_t)0x421c, (q15_t)0xc009, (q15_t)0x4210, (q15_t)0xc009, (q15_t)0x4203, (q15_t)0xc008, + (q15_t)0x41f7, (q15_t)0xc008, (q15_t)0x41ea, (q15_t)0xc007, (q15_t)0x41dd, (q15_t)0xc007, (q15_t)0x41d1, (q15_t)0xc007, + (q15_t)0x41c4, (q15_t)0xc006, (q15_t)0x41b8, (q15_t)0xc006, (q15_t)0x41ab, (q15_t)0xc006, (q15_t)0x419f, (q15_t)0xc005, + (q15_t)0x4192, (q15_t)0xc005, (q15_t)0x4186, (q15_t)0xc005, (q15_t)0x4179, (q15_t)0xc004, (q15_t)0x416c, (q15_t)0xc004, + (q15_t)0x4160, (q15_t)0xc004, (q15_t)0x4153, (q15_t)0xc004, (q15_t)0x4147, (q15_t)0xc003, (q15_t)0x413a, (q15_t)0xc003, + (q15_t)0x412e, (q15_t)0xc003, (q15_t)0x4121, (q15_t)0xc003, (q15_t)0x4114, (q15_t)0xc002, (q15_t)0x4108, (q15_t)0xc002, + (q15_t)0x40fb, (q15_t)0xc002, (q15_t)0x40ef, (q15_t)0xc002, (q15_t)0x40e2, (q15_t)0xc002, (q15_t)0x40d6, (q15_t)0xc001, + (q15_t)0x40c9, (q15_t)0xc001, (q15_t)0x40bc, (q15_t)0xc001, (q15_t)0x40b0, (q15_t)0xc001, (q15_t)0x40a3, (q15_t)0xc001, + (q15_t)0x4097, (q15_t)0xc001, (q15_t)0x408a, (q15_t)0xc001, (q15_t)0x407e, (q15_t)0xc000, (q15_t)0x4071, (q15_t)0xc000, + (q15_t)0x4065, (q15_t)0xc000, (q15_t)0x4058, (q15_t)0xc000, (q15_t)0x404b, (q15_t)0xc000, (q15_t)0x403f, (q15_t)0xc000, + (q15_t)0x4032, (q15_t)0xc000, (q15_t)0x4026, (q15_t)0xc000, (q15_t)0x4019, (q15_t)0xc000, (q15_t)0x400d, (q15_t)0xc000, +}; + +/** +* @} end of RealFFT_Table group +*/ + +/** +* @addtogroup RealFFT +* @{ +*/ + +/** +* @brief Initialization function for the Q15 RFFT/RIFFT. +* @param[in, out] *S points to an instance of the Q15 RFFT/RIFFT structure. +* @param[in] fftLenReal length of the FFT. +* @param[in] ifftFlagR flag that selects forward (ifftFlagR=0) or inverse (ifftFlagR=1) transform. +* @param[in] bitReverseFlag flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. +* @return The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if fftLenReal is not a supported value. +* +* \par Description: +* \par +* The parameter fftLenReal Specifies length of RFFT/RIFFT Process. Supported FFT Lengths are 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192. +* \par +* The parameter ifftFlagR controls whether a forward or inverse transform is computed. +* Set(=1) ifftFlagR to calculate RIFFT, otherwise RFFT is calculated. +* \par +* The parameter bitReverseFlag controls whether output is in normal order or bit reversed order. +* Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order. +* \par +* This function also initializes Twiddle factor table. +*/ +arm_status arm_rfft_init_q15( + arm_rfft_instance_q15 * S, + uint32_t fftLenReal, + uint32_t ifftFlagR, + uint32_t bitReverseFlag) +{ + /* Initialise the default arm status */ + arm_status status = ARM_MATH_SUCCESS; + + /* Initialize the Real FFT length */ + S->fftLenReal = (uint16_t) fftLenReal; + + /* Initialize the Twiddle coefficientA pointer */ + S->pTwiddleAReal = (q15_t *) realCoefAQ15; + + /* Initialize the Twiddle coefficientB pointer */ + S->pTwiddleBReal = (q15_t *) realCoefBQ15; + + /* Initialize the Flag for selection of RFFT or RIFFT */ + S->ifftFlagR = (uint8_t) ifftFlagR; + + /* Initialize the Flag for calculation Bit reversal or not */ + S->bitReverseFlagR = (uint8_t) bitReverseFlag; + + /* Initialization of coef modifier depending on the FFT length */ + switch (S->fftLenReal) + { + case 8192U: + S->twidCoefRModifier = 1U; + S->pCfft = &arm_cfft_sR_q15_len4096; + break; + case 4096U: + S->twidCoefRModifier = 2U; + S->pCfft = &arm_cfft_sR_q15_len2048; + break; + case 2048U: + S->twidCoefRModifier = 4U; + S->pCfft = &arm_cfft_sR_q15_len1024; + break; + case 1024U: + S->twidCoefRModifier = 8U; + S->pCfft = &arm_cfft_sR_q15_len512; + break; + case 512U: + S->twidCoefRModifier = 16U; + S->pCfft = &arm_cfft_sR_q15_len256; + break; + case 256U: + S->twidCoefRModifier = 32U; + S->pCfft = &arm_cfft_sR_q15_len128; + break; + case 128U: + S->twidCoefRModifier = 64U; + S->pCfft = &arm_cfft_sR_q15_len64; + break; + case 64U: + S->twidCoefRModifier = 128U; + S->pCfft = &arm_cfft_sR_q15_len32; + break; + case 32U: + S->twidCoefRModifier = 256U; + S->pCfft = &arm_cfft_sR_q15_len16; + break; + default: + /* Reporting argument error if rfftSize is not valid value */ + status = ARM_MATH_ARGUMENT_ERROR; + break; + } + + /* return the status of RFFT Init function */ + return (status); +} + +/** +* @} end of RealFFT group +*/ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_rfft_init_q31.c b/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_rfft_init_q31.c new file mode 100644 index 0000000..04369ed --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_rfft_init_q31.c @@ -0,0 +1,4280 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_rfft_init_q31.c + * Description: RFFT & RIFFT Q31 initialisation function + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" +#include "arm_common_tables.h" +#include "arm_const_structs.h" + +/** +* @ingroup RealFFT +*/ + +/** + * @addtogroup RealFFT_Table Real FFT Tables +* @{ +*/ + +/** +* \par +* Generation fixed-point realCoefAQ31 array in Q31 format: +* \par +* n = 4096 +*
for (i = 0; i < n; i++)
+* {
+*    pATable[2 * i] = 0.5 * (1.0 - sin (2 * PI / (double) (2 * n) * (double) i));
+*    pATable[2 * i + 1] = 0.5 * (-1.0 * cos (2 * PI / (double) (2 * n) * (double) i));
+* }
+* \par +* Convert to fixed point Q31 format +* round(pATable[i] * pow(2, 31)) +*/ +const q31_t realCoefAQ31[8192] = { + (q31_t)0x40000000, (q31_t)0xc0000000, (q31_t)0x3ff36f02, (q31_t)0xc000013c, + (q31_t)0x3fe6de05, (q31_t)0xc00004ef, (q31_t)0x3fda4d09, (q31_t)0xc0000b1a, + (q31_t)0x3fcdbc0f, (q31_t)0xc00013bd, (q31_t)0x3fc12b16, (q31_t)0xc0001ed8, + (q31_t)0x3fb49a1f, (q31_t)0xc0002c6a, (q31_t)0x3fa8092c, (q31_t)0xc0003c74, + (q31_t)0x3f9b783c, (q31_t)0xc0004ef5, (q31_t)0x3f8ee750, (q31_t)0xc00063ee, + (q31_t)0x3f825668, (q31_t)0xc0007b5f, (q31_t)0x3f75c585, (q31_t)0xc0009547, + (q31_t)0x3f6934a8, (q31_t)0xc000b1a7, (q31_t)0x3f5ca3d0, (q31_t)0xc000d07e, + (q31_t)0x3f5012fe, (q31_t)0xc000f1ce, (q31_t)0x3f438234, (q31_t)0xc0011594, + (q31_t)0x3f36f170, (q31_t)0xc0013bd3, (q31_t)0x3f2a60b4, (q31_t)0xc0016489, + (q31_t)0x3f1dd001, (q31_t)0xc0018fb6, (q31_t)0x3f113f56, (q31_t)0xc001bd5c, + (q31_t)0x3f04aeb5, (q31_t)0xc001ed78, (q31_t)0x3ef81e1d, (q31_t)0xc002200d, + (q31_t)0x3eeb8d8f, (q31_t)0xc0025519, (q31_t)0x3edefd0c, (q31_t)0xc0028c9c, + (q31_t)0x3ed26c94, (q31_t)0xc002c697, (q31_t)0x3ec5dc28, (q31_t)0xc003030a, + (q31_t)0x3eb94bc8, (q31_t)0xc00341f4, (q31_t)0x3eacbb74, (q31_t)0xc0038356, + (q31_t)0x3ea02b2e, (q31_t)0xc003c72f, (q31_t)0x3e939af5, (q31_t)0xc0040d80, + (q31_t)0x3e870aca, (q31_t)0xc0045648, (q31_t)0x3e7a7aae, (q31_t)0xc004a188, + (q31_t)0x3e6deaa1, (q31_t)0xc004ef3f, (q31_t)0x3e615aa3, (q31_t)0xc0053f6e, + (q31_t)0x3e54cab5, (q31_t)0xc0059214, (q31_t)0x3e483ad8, (q31_t)0xc005e731, + (q31_t)0x3e3bab0b, (q31_t)0xc0063ec6, (q31_t)0x3e2f1b50, (q31_t)0xc00698d3, + (q31_t)0x3e228ba7, (q31_t)0xc006f556, (q31_t)0x3e15fc11, (q31_t)0xc0075452, + (q31_t)0x3e096c8d, (q31_t)0xc007b5c4, (q31_t)0x3dfcdd1d, (q31_t)0xc00819ae, + (q31_t)0x3df04dc0, (q31_t)0xc008800f, (q31_t)0x3de3be78, (q31_t)0xc008e8e8, + (q31_t)0x3dd72f45, (q31_t)0xc0095438, (q31_t)0x3dcaa027, (q31_t)0xc009c1ff, + (q31_t)0x3dbe111e, (q31_t)0xc00a323d, (q31_t)0x3db1822c, (q31_t)0xc00aa4f3, + (q31_t)0x3da4f351, (q31_t)0xc00b1a20, (q31_t)0x3d98648d, (q31_t)0xc00b91c4, + (q31_t)0x3d8bd5e1, (q31_t)0xc00c0be0, (q31_t)0x3d7f474d, (q31_t)0xc00c8872, + (q31_t)0x3d72b8d2, (q31_t)0xc00d077c, (q31_t)0x3d662a70, (q31_t)0xc00d88fd, + (q31_t)0x3d599c28, (q31_t)0xc00e0cf5, (q31_t)0x3d4d0df9, (q31_t)0xc00e9364, + (q31_t)0x3d407fe6, (q31_t)0xc00f1c4a, (q31_t)0x3d33f1ed, (q31_t)0xc00fa7a8, + (q31_t)0x3d276410, (q31_t)0xc010357c, (q31_t)0x3d1ad650, (q31_t)0xc010c5c7, + (q31_t)0x3d0e48ab, (q31_t)0xc011588a, (q31_t)0x3d01bb24, (q31_t)0xc011edc3, + (q31_t)0x3cf52dbb, (q31_t)0xc0128574, (q31_t)0x3ce8a06f, (q31_t)0xc0131f9b, + (q31_t)0x3cdc1342, (q31_t)0xc013bc39, (q31_t)0x3ccf8634, (q31_t)0xc0145b4e, + (q31_t)0x3cc2f945, (q31_t)0xc014fcda, (q31_t)0x3cb66c77, (q31_t)0xc015a0dd, + (q31_t)0x3ca9dfc8, (q31_t)0xc0164757, (q31_t)0x3c9d533b, (q31_t)0xc016f047, + (q31_t)0x3c90c6cf, (q31_t)0xc0179bae, (q31_t)0x3c843a85, (q31_t)0xc018498c, + (q31_t)0x3c77ae5e, (q31_t)0xc018f9e1, (q31_t)0x3c6b2259, (q31_t)0xc019acac, + (q31_t)0x3c5e9678, (q31_t)0xc01a61ee, (q31_t)0x3c520aba, (q31_t)0xc01b19a7, + (q31_t)0x3c457f21, (q31_t)0xc01bd3d6, (q31_t)0x3c38f3ac, (q31_t)0xc01c907c, + (q31_t)0x3c2c685d, (q31_t)0xc01d4f99, (q31_t)0x3c1fdd34, (q31_t)0xc01e112b, + (q31_t)0x3c135231, (q31_t)0xc01ed535, (q31_t)0x3c06c754, (q31_t)0xc01f9bb5, + (q31_t)0x3bfa3c9f, (q31_t)0xc02064ab, (q31_t)0x3bedb212, (q31_t)0xc0213018, + (q31_t)0x3be127ac, (q31_t)0xc021fdfb, (q31_t)0x3bd49d70, (q31_t)0xc022ce54, + (q31_t)0x3bc8135c, (q31_t)0xc023a124, (q31_t)0x3bbb8973, (q31_t)0xc024766a, + (q31_t)0x3baeffb3, (q31_t)0xc0254e27, (q31_t)0x3ba2761e, (q31_t)0xc0262859, + (q31_t)0x3b95ecb4, (q31_t)0xc0270502, (q31_t)0x3b896375, (q31_t)0xc027e421, + (q31_t)0x3b7cda63, (q31_t)0xc028c5b6, (q31_t)0x3b70517d, (q31_t)0xc029a9c1, + (q31_t)0x3b63c8c4, (q31_t)0xc02a9042, (q31_t)0x3b574039, (q31_t)0xc02b7939, + (q31_t)0x3b4ab7db, (q31_t)0xc02c64a6, (q31_t)0x3b3e2fac, (q31_t)0xc02d5289, + (q31_t)0x3b31a7ac, (q31_t)0xc02e42e2, (q31_t)0x3b251fdc, (q31_t)0xc02f35b1, + (q31_t)0x3b18983b, (q31_t)0xc0302af5, (q31_t)0x3b0c10cb, (q31_t)0xc03122b0, + (q31_t)0x3aff898c, (q31_t)0xc0321ce0, (q31_t)0x3af3027e, (q31_t)0xc0331986, + (q31_t)0x3ae67ba2, (q31_t)0xc03418a2, (q31_t)0x3ad9f4f8, (q31_t)0xc0351a33, + (q31_t)0x3acd6e81, (q31_t)0xc0361e3a, (q31_t)0x3ac0e83d, (q31_t)0xc03724b6, + (q31_t)0x3ab4622d, (q31_t)0xc0382da8, (q31_t)0x3aa7dc52, (q31_t)0xc0393910, + (q31_t)0x3a9b56ab, (q31_t)0xc03a46ed, (q31_t)0x3a8ed139, (q31_t)0xc03b573f, + (q31_t)0x3a824bfd, (q31_t)0xc03c6a07, (q31_t)0x3a75c6f8, (q31_t)0xc03d7f44, + (q31_t)0x3a694229, (q31_t)0xc03e96f6, (q31_t)0x3a5cbd91, (q31_t)0xc03fb11d, + (q31_t)0x3a503930, (q31_t)0xc040cdba, (q31_t)0x3a43b508, (q31_t)0xc041eccc, + (q31_t)0x3a373119, (q31_t)0xc0430e53, (q31_t)0x3a2aad62, (q31_t)0xc044324f, + (q31_t)0x3a1e29e5, (q31_t)0xc04558c0, (q31_t)0x3a11a6a3, (q31_t)0xc04681a6, + (q31_t)0x3a05239a, (q31_t)0xc047ad01, (q31_t)0x39f8a0cd, (q31_t)0xc048dad1, + (q31_t)0x39ec1e3b, (q31_t)0xc04a0b16, (q31_t)0x39df9be6, (q31_t)0xc04b3dcf, + (q31_t)0x39d319cc, (q31_t)0xc04c72fe, (q31_t)0x39c697f0, (q31_t)0xc04daaa1, + (q31_t)0x39ba1651, (q31_t)0xc04ee4b8, (q31_t)0x39ad94f0, (q31_t)0xc0502145, + (q31_t)0x39a113cd, (q31_t)0xc0516045, (q31_t)0x399492ea, (q31_t)0xc052a1bb, + (q31_t)0x39881245, (q31_t)0xc053e5a5, (q31_t)0x397b91e1, (q31_t)0xc0552c03, + (q31_t)0x396f11bc, (q31_t)0xc05674d6, (q31_t)0x396291d9, (q31_t)0xc057c01d, + (q31_t)0x39561237, (q31_t)0xc0590dd8, (q31_t)0x394992d7, (q31_t)0xc05a5e07, + (q31_t)0x393d13b8, (q31_t)0xc05bb0ab, (q31_t)0x393094dd, (q31_t)0xc05d05c3, + (q31_t)0x39241645, (q31_t)0xc05e5d4e, (q31_t)0x391797f0, (q31_t)0xc05fb74e, + (q31_t)0x390b19e0, (q31_t)0xc06113c2, (q31_t)0x38fe9c15, (q31_t)0xc06272aa, + (q31_t)0x38f21e8e, (q31_t)0xc063d405, (q31_t)0x38e5a14d, (q31_t)0xc06537d4, + (q31_t)0x38d92452, (q31_t)0xc0669e18, (q31_t)0x38cca79e, (q31_t)0xc06806ce, + (q31_t)0x38c02b31, (q31_t)0xc06971f9, (q31_t)0x38b3af0c, (q31_t)0xc06adf97, + (q31_t)0x38a7332e, (q31_t)0xc06c4fa8, (q31_t)0x389ab799, (q31_t)0xc06dc22e, + (q31_t)0x388e3c4d, (q31_t)0xc06f3726, (q31_t)0x3881c14b, (q31_t)0xc070ae92, + (q31_t)0x38754692, (q31_t)0xc0722871, (q31_t)0x3868cc24, (q31_t)0xc073a4c3, + (q31_t)0x385c5201, (q31_t)0xc0752389, (q31_t)0x384fd829, (q31_t)0xc076a4c2, + (q31_t)0x38435e9d, (q31_t)0xc078286e, (q31_t)0x3836e55d, (q31_t)0xc079ae8c, + (q31_t)0x382a6c6a, (q31_t)0xc07b371e, (q31_t)0x381df3c5, (q31_t)0xc07cc223, + (q31_t)0x38117b6d, (q31_t)0xc07e4f9b, (q31_t)0x38050364, (q31_t)0xc07fdf85, + (q31_t)0x37f88ba9, (q31_t)0xc08171e2, (q31_t)0x37ec143e, (q31_t)0xc08306b2, + (q31_t)0x37df9d22, (q31_t)0xc0849df4, (q31_t)0x37d32657, (q31_t)0xc08637a9, + (q31_t)0x37c6afdc, (q31_t)0xc087d3d0, (q31_t)0x37ba39b3, (q31_t)0xc089726a, + (q31_t)0x37adc3db, (q31_t)0xc08b1376, (q31_t)0x37a14e55, (q31_t)0xc08cb6f5, + (q31_t)0x3794d922, (q31_t)0xc08e5ce5, (q31_t)0x37886442, (q31_t)0xc0900548, + (q31_t)0x377befb5, (q31_t)0xc091b01d, (q31_t)0x376f7b7d, (q31_t)0xc0935d64, + (q31_t)0x37630799, (q31_t)0xc0950d1d, (q31_t)0x3756940a, (q31_t)0xc096bf48, + (q31_t)0x374a20d0, (q31_t)0xc09873e4, (q31_t)0x373daded, (q31_t)0xc09a2af3, + (q31_t)0x37313b60, (q31_t)0xc09be473, (q31_t)0x3724c92a, (q31_t)0xc09da065, + (q31_t)0x3718574b, (q31_t)0xc09f5ec8, (q31_t)0x370be5c4, (q31_t)0xc0a11f9d, + (q31_t)0x36ff7496, (q31_t)0xc0a2e2e3, (q31_t)0x36f303c0, (q31_t)0xc0a4a89b, + (q31_t)0x36e69344, (q31_t)0xc0a670c4, (q31_t)0x36da2321, (q31_t)0xc0a83b5e, + (q31_t)0x36cdb359, (q31_t)0xc0aa086a, (q31_t)0x36c143ec, (q31_t)0xc0abd7e6, + (q31_t)0x36b4d4d9, (q31_t)0xc0ada9d4, (q31_t)0x36a86623, (q31_t)0xc0af7e33, + (q31_t)0x369bf7c9, (q31_t)0xc0b15502, (q31_t)0x368f89cb, (q31_t)0xc0b32e42, + (q31_t)0x36831c2b, (q31_t)0xc0b509f3, (q31_t)0x3676aee8, (q31_t)0xc0b6e815, + (q31_t)0x366a4203, (q31_t)0xc0b8c8a7, (q31_t)0x365dd57d, (q31_t)0xc0baabaa, + (q31_t)0x36516956, (q31_t)0xc0bc911d, (q31_t)0x3644fd8f, (q31_t)0xc0be7901, + (q31_t)0x36389228, (q31_t)0xc0c06355, (q31_t)0x362c2721, (q31_t)0xc0c25019, + (q31_t)0x361fbc7b, (q31_t)0xc0c43f4d, (q31_t)0x36135237, (q31_t)0xc0c630f2, + (q31_t)0x3606e854, (q31_t)0xc0c82506, (q31_t)0x35fa7ed4, (q31_t)0xc0ca1b8a, + (q31_t)0x35ee15b7, (q31_t)0xc0cc147f, (q31_t)0x35e1acfd, (q31_t)0xc0ce0fe3, + (q31_t)0x35d544a7, (q31_t)0xc0d00db6, (q31_t)0x35c8dcb6, (q31_t)0xc0d20dfa, + (q31_t)0x35bc7529, (q31_t)0xc0d410ad, (q31_t)0x35b00e02, (q31_t)0xc0d615cf, + (q31_t)0x35a3a740, (q31_t)0xc0d81d61, (q31_t)0x359740e5, (q31_t)0xc0da2762, + (q31_t)0x358adaf0, (q31_t)0xc0dc33d2, (q31_t)0x357e7563, (q31_t)0xc0de42b2, + (q31_t)0x3572103d, (q31_t)0xc0e05401, (q31_t)0x3565ab80, (q31_t)0xc0e267be, + (q31_t)0x3559472b, (q31_t)0xc0e47deb, (q31_t)0x354ce33f, (q31_t)0xc0e69686, + (q31_t)0x35407fbd, (q31_t)0xc0e8b190, (q31_t)0x35341ca5, (q31_t)0xc0eacf09, + (q31_t)0x3527b9f7, (q31_t)0xc0eceef1, (q31_t)0x351b57b5, (q31_t)0xc0ef1147, + (q31_t)0x350ef5de, (q31_t)0xc0f1360b, (q31_t)0x35029473, (q31_t)0xc0f35d3e, + (q31_t)0x34f63374, (q31_t)0xc0f586df, (q31_t)0x34e9d2e3, (q31_t)0xc0f7b2ee, + (q31_t)0x34dd72be, (q31_t)0xc0f9e16b, (q31_t)0x34d11308, (q31_t)0xc0fc1257, + (q31_t)0x34c4b3c0, (q31_t)0xc0fe45b0, (q31_t)0x34b854e7, (q31_t)0xc1007b77, + (q31_t)0x34abf67e, (q31_t)0xc102b3ac, (q31_t)0x349f9884, (q31_t)0xc104ee4f, + (q31_t)0x34933afa, (q31_t)0xc1072b5f, (q31_t)0x3486dde1, (q31_t)0xc1096add, + (q31_t)0x347a8139, (q31_t)0xc10bacc8, (q31_t)0x346e2504, (q31_t)0xc10df120, + (q31_t)0x3461c940, (q31_t)0xc11037e6, (q31_t)0x34556def, (q31_t)0xc1128119, + (q31_t)0x34491311, (q31_t)0xc114ccb9, (q31_t)0x343cb8a7, (q31_t)0xc1171ac6, + (q31_t)0x34305eb0, (q31_t)0xc1196b3f, (q31_t)0x3424052f, (q31_t)0xc11bbe26, + (q31_t)0x3417ac22, (q31_t)0xc11e1379, (q31_t)0x340b538b, (q31_t)0xc1206b39, + (q31_t)0x33fefb6a, (q31_t)0xc122c566, (q31_t)0x33f2a3bf, (q31_t)0xc12521ff, + (q31_t)0x33e64c8c, (q31_t)0xc1278104, (q31_t)0x33d9f5cf, (q31_t)0xc129e276, + (q31_t)0x33cd9f8b, (q31_t)0xc12c4653, (q31_t)0x33c149bf, (q31_t)0xc12eac9d, + (q31_t)0x33b4f46c, (q31_t)0xc1311553, (q31_t)0x33a89f92, (q31_t)0xc1338075, + (q31_t)0x339c4b32, (q31_t)0xc135ee02, (q31_t)0x338ff74d, (q31_t)0xc1385dfb, + (q31_t)0x3383a3e2, (q31_t)0xc13ad060, (q31_t)0x337750f2, (q31_t)0xc13d4530, + (q31_t)0x336afe7e, (q31_t)0xc13fbc6c, (q31_t)0x335eac86, (q31_t)0xc1423613, + (q31_t)0x33525b0b, (q31_t)0xc144b225, (q31_t)0x33460a0d, (q31_t)0xc14730a3, + (q31_t)0x3339b98d, (q31_t)0xc149b18b, (q31_t)0x332d698a, (q31_t)0xc14c34df, + (q31_t)0x33211a07, (q31_t)0xc14eba9d, (q31_t)0x3314cb02, (q31_t)0xc15142c6, + (q31_t)0x33087c7d, (q31_t)0xc153cd5a, (q31_t)0x32fc2e77, (q31_t)0xc1565a58, + (q31_t)0x32efe0f2, (q31_t)0xc158e9c1, (q31_t)0x32e393ef, (q31_t)0xc15b7b94, + (q31_t)0x32d7476c, (q31_t)0xc15e0fd1, (q31_t)0x32cafb6b, (q31_t)0xc160a678, + (q31_t)0x32beafed, (q31_t)0xc1633f8a, (q31_t)0x32b264f2, (q31_t)0xc165db05, + (q31_t)0x32a61a7a, (q31_t)0xc16878eb, (q31_t)0x3299d085, (q31_t)0xc16b193a, + (q31_t)0x328d8715, (q31_t)0xc16dbbf3, (q31_t)0x32813e2a, (q31_t)0xc1706115, + (q31_t)0x3274f5c3, (q31_t)0xc17308a1, (q31_t)0x3268ade3, (q31_t)0xc175b296, + (q31_t)0x325c6688, (q31_t)0xc1785ef4, (q31_t)0x32501fb5, (q31_t)0xc17b0dbb, + (q31_t)0x3243d968, (q31_t)0xc17dbeec, (q31_t)0x323793a3, (q31_t)0xc1807285, + (q31_t)0x322b4e66, (q31_t)0xc1832888, (q31_t)0x321f09b1, (q31_t)0xc185e0f3, + (q31_t)0x3212c585, (q31_t)0xc1889bc6, (q31_t)0x320681e3, (q31_t)0xc18b5903, + (q31_t)0x31fa3ecb, (q31_t)0xc18e18a7, (q31_t)0x31edfc3d, (q31_t)0xc190dab4, + (q31_t)0x31e1ba3a, (q31_t)0xc1939f29, (q31_t)0x31d578c2, (q31_t)0xc1966606, + (q31_t)0x31c937d6, (q31_t)0xc1992f4c, (q31_t)0x31bcf777, (q31_t)0xc19bfaf9, + (q31_t)0x31b0b7a4, (q31_t)0xc19ec90d, (q31_t)0x31a4785e, (q31_t)0xc1a1998a, + (q31_t)0x319839a6, (q31_t)0xc1a46c6e, (q31_t)0x318bfb7d, (q31_t)0xc1a741b9, + (q31_t)0x317fbde2, (q31_t)0xc1aa196c, (q31_t)0x317380d6, (q31_t)0xc1acf386, + (q31_t)0x31674459, (q31_t)0xc1afd007, (q31_t)0x315b086d, (q31_t)0xc1b2aef0, + (q31_t)0x314ecd11, (q31_t)0xc1b5903f, (q31_t)0x31429247, (q31_t)0xc1b873f5, + (q31_t)0x3136580d, (q31_t)0xc1bb5a11, (q31_t)0x312a1e66, (q31_t)0xc1be4294, + (q31_t)0x311de551, (q31_t)0xc1c12d7e, (q31_t)0x3111accf, (q31_t)0xc1c41ace, + (q31_t)0x310574e0, (q31_t)0xc1c70a84, (q31_t)0x30f93d86, (q31_t)0xc1c9fca0, + (q31_t)0x30ed06bf, (q31_t)0xc1ccf122, (q31_t)0x30e0d08d, (q31_t)0xc1cfe80a, + (q31_t)0x30d49af1, (q31_t)0xc1d2e158, (q31_t)0x30c865ea, (q31_t)0xc1d5dd0c, + (q31_t)0x30bc317a, (q31_t)0xc1d8db25, (q31_t)0x30affda0, (q31_t)0xc1dbdba3, + (q31_t)0x30a3ca5d, (q31_t)0xc1dede87, (q31_t)0x309797b2, (q31_t)0xc1e1e3d0, + (q31_t)0x308b659f, (q31_t)0xc1e4eb7e, (q31_t)0x307f3424, (q31_t)0xc1e7f591, + (q31_t)0x30730342, (q31_t)0xc1eb0209, (q31_t)0x3066d2fa, (q31_t)0xc1ee10e5, + (q31_t)0x305aa34c, (q31_t)0xc1f12227, (q31_t)0x304e7438, (q31_t)0xc1f435cc, + (q31_t)0x304245c0, (q31_t)0xc1f74bd6, (q31_t)0x303617e2, (q31_t)0xc1fa6445, + (q31_t)0x3029eaa1, (q31_t)0xc1fd7f17, (q31_t)0x301dbdfb, (q31_t)0xc2009c4e, + (q31_t)0x301191f3, (q31_t)0xc203bbe8, (q31_t)0x30056687, (q31_t)0xc206dde6, + (q31_t)0x2ff93bba, (q31_t)0xc20a0248, (q31_t)0x2fed118a, (q31_t)0xc20d290d, + (q31_t)0x2fe0e7f9, (q31_t)0xc2105236, (q31_t)0x2fd4bf08, (q31_t)0xc2137dc2, + (q31_t)0x2fc896b5, (q31_t)0xc216abb1, (q31_t)0x2fbc6f03, (q31_t)0xc219dc03, + (q31_t)0x2fb047f2, (q31_t)0xc21d0eb8, (q31_t)0x2fa42181, (q31_t)0xc22043d0, + (q31_t)0x2f97fbb2, (q31_t)0xc2237b4b, (q31_t)0x2f8bd685, (q31_t)0xc226b528, + (q31_t)0x2f7fb1fa, (q31_t)0xc229f167, (q31_t)0x2f738e12, (q31_t)0xc22d3009, + (q31_t)0x2f676ace, (q31_t)0xc230710d, (q31_t)0x2f5b482d, (q31_t)0xc233b473, + (q31_t)0x2f4f2630, (q31_t)0xc236fa3b, (q31_t)0x2f4304d8, (q31_t)0xc23a4265, + (q31_t)0x2f36e426, (q31_t)0xc23d8cf1, (q31_t)0x2f2ac419, (q31_t)0xc240d9de, + (q31_t)0x2f1ea4b2, (q31_t)0xc244292c, (q31_t)0x2f1285f2, (q31_t)0xc2477adc, + (q31_t)0x2f0667d9, (q31_t)0xc24aceed, (q31_t)0x2efa4a67, (q31_t)0xc24e255e, + (q31_t)0x2eee2d9d, (q31_t)0xc2517e31, (q31_t)0x2ee2117c, (q31_t)0xc254d965, + (q31_t)0x2ed5f604, (q31_t)0xc25836f9, (q31_t)0x2ec9db35, (q31_t)0xc25b96ee, + (q31_t)0x2ebdc110, (q31_t)0xc25ef943, (q31_t)0x2eb1a796, (q31_t)0xc2625df8, + (q31_t)0x2ea58ec6, (q31_t)0xc265c50e, (q31_t)0x2e9976a1, (q31_t)0xc2692e83, + (q31_t)0x2e8d5f29, (q31_t)0xc26c9a58, (q31_t)0x2e81485c, (q31_t)0xc270088e, + (q31_t)0x2e75323c, (q31_t)0xc2737922, (q31_t)0x2e691cc9, (q31_t)0xc276ec16, + (q31_t)0x2e5d0804, (q31_t)0xc27a616a, (q31_t)0x2e50f3ed, (q31_t)0xc27dd91c, + (q31_t)0x2e44e084, (q31_t)0xc281532e, (q31_t)0x2e38cdcb, (q31_t)0xc284cf9f, + (q31_t)0x2e2cbbc1, (q31_t)0xc2884e6e, (q31_t)0x2e20aa67, (q31_t)0xc28bcf9c, + (q31_t)0x2e1499bd, (q31_t)0xc28f5329, (q31_t)0x2e0889c4, (q31_t)0xc292d914, + (q31_t)0x2dfc7a7c, (q31_t)0xc296615d, (q31_t)0x2df06be6, (q31_t)0xc299ec05, + (q31_t)0x2de45e03, (q31_t)0xc29d790a, (q31_t)0x2dd850d2, (q31_t)0xc2a1086d, + (q31_t)0x2dcc4454, (q31_t)0xc2a49a2e, (q31_t)0x2dc0388a, (q31_t)0xc2a82e4d, + (q31_t)0x2db42d74, (q31_t)0xc2abc4c9, (q31_t)0x2da82313, (q31_t)0xc2af5da2, + (q31_t)0x2d9c1967, (q31_t)0xc2b2f8d8, (q31_t)0x2d901070, (q31_t)0xc2b6966c, + (q31_t)0x2d84082f, (q31_t)0xc2ba365c, (q31_t)0x2d7800a5, (q31_t)0xc2bdd8a9, + (q31_t)0x2d6bf9d1, (q31_t)0xc2c17d52, (q31_t)0x2d5ff3b5, (q31_t)0xc2c52459, + (q31_t)0x2d53ee51, (q31_t)0xc2c8cdbb, (q31_t)0x2d47e9a5, (q31_t)0xc2cc7979, + (q31_t)0x2d3be5b1, (q31_t)0xc2d02794, (q31_t)0x2d2fe277, (q31_t)0xc2d3d80a, + (q31_t)0x2d23dff7, (q31_t)0xc2d78add, (q31_t)0x2d17de31, (q31_t)0xc2db400a, + (q31_t)0x2d0bdd25, (q31_t)0xc2def794, (q31_t)0x2cffdcd4, (q31_t)0xc2e2b178, + (q31_t)0x2cf3dd3f, (q31_t)0xc2e66db8, (q31_t)0x2ce7de66, (q31_t)0xc2ea2c53, + (q31_t)0x2cdbe04a, (q31_t)0xc2eded49, (q31_t)0x2ccfe2ea, (q31_t)0xc2f1b099, + (q31_t)0x2cc3e648, (q31_t)0xc2f57644, (q31_t)0x2cb7ea63, (q31_t)0xc2f93e4a, + (q31_t)0x2cabef3d, (q31_t)0xc2fd08a9, (q31_t)0x2c9ff4d6, (q31_t)0xc300d563, + (q31_t)0x2c93fb2e, (q31_t)0xc304a477, (q31_t)0x2c880245, (q31_t)0xc30875e5, + (q31_t)0x2c7c0a1d, (q31_t)0xc30c49ad, (q31_t)0x2c7012b5, (q31_t)0xc3101fce, + (q31_t)0x2c641c0e, (q31_t)0xc313f848, (q31_t)0x2c582629, (q31_t)0xc317d31c, + (q31_t)0x2c4c3106, (q31_t)0xc31bb049, (q31_t)0x2c403ca5, (q31_t)0xc31f8fcf, + (q31_t)0x2c344908, (q31_t)0xc32371ae, (q31_t)0x2c28562d, (q31_t)0xc32755e5, + (q31_t)0x2c1c6417, (q31_t)0xc32b3c75, (q31_t)0x2c1072c4, (q31_t)0xc32f255e, + (q31_t)0x2c048237, (q31_t)0xc333109e, (q31_t)0x2bf8926f, (q31_t)0xc336fe37, + (q31_t)0x2beca36c, (q31_t)0xc33aee27, (q31_t)0x2be0b52f, (q31_t)0xc33ee070, + (q31_t)0x2bd4c7ba, (q31_t)0xc342d510, (q31_t)0x2bc8db0b, (q31_t)0xc346cc07, + (q31_t)0x2bbcef23, (q31_t)0xc34ac556, (q31_t)0x2bb10404, (q31_t)0xc34ec0fc, + (q31_t)0x2ba519ad, (q31_t)0xc352bef9, (q31_t)0x2b99301f, (q31_t)0xc356bf4d, + (q31_t)0x2b8d475b, (q31_t)0xc35ac1f7, (q31_t)0x2b815f60, (q31_t)0xc35ec6f8, + (q31_t)0x2b75782f, (q31_t)0xc362ce50, (q31_t)0x2b6991ca, (q31_t)0xc366d7fd, + (q31_t)0x2b5dac2f, (q31_t)0xc36ae401, (q31_t)0x2b51c760, (q31_t)0xc36ef25b, + (q31_t)0x2b45e35d, (q31_t)0xc373030a, (q31_t)0x2b3a0027, (q31_t)0xc377160f, + (q31_t)0x2b2e1dbe, (q31_t)0xc37b2b6a, (q31_t)0x2b223c22, (q31_t)0xc37f4319, + (q31_t)0x2b165b54, (q31_t)0xc3835d1e, (q31_t)0x2b0a7b54, (q31_t)0xc3877978, + (q31_t)0x2afe9c24, (q31_t)0xc38b9827, (q31_t)0x2af2bdc3, (q31_t)0xc38fb92a, + (q31_t)0x2ae6e031, (q31_t)0xc393dc82, (q31_t)0x2adb0370, (q31_t)0xc398022f, + (q31_t)0x2acf277f, (q31_t)0xc39c2a2f, (q31_t)0x2ac34c60, (q31_t)0xc3a05484, + (q31_t)0x2ab77212, (q31_t)0xc3a4812c, (q31_t)0x2aab9896, (q31_t)0xc3a8b028, + (q31_t)0x2a9fbfed, (q31_t)0xc3ace178, (q31_t)0x2a93e817, (q31_t)0xc3b1151b, + (q31_t)0x2a881114, (q31_t)0xc3b54b11, (q31_t)0x2a7c3ae5, (q31_t)0xc3b9835a, + (q31_t)0x2a70658a, (q31_t)0xc3bdbdf6, (q31_t)0x2a649105, (q31_t)0xc3c1fae5, + (q31_t)0x2a58bd54, (q31_t)0xc3c63a26, (q31_t)0x2a4cea79, (q31_t)0xc3ca7bba, + (q31_t)0x2a411874, (q31_t)0xc3cebfa0, (q31_t)0x2a354746, (q31_t)0xc3d305d8, + (q31_t)0x2a2976ef, (q31_t)0xc3d74e62, (q31_t)0x2a1da770, (q31_t)0xc3db993e, + (q31_t)0x2a11d8c8, (q31_t)0xc3dfe66c, (q31_t)0x2a060af9, (q31_t)0xc3e435ea, + (q31_t)0x29fa3e03, (q31_t)0xc3e887bb, (q31_t)0x29ee71e6, (q31_t)0xc3ecdbdc, + (q31_t)0x29e2a6a3, (q31_t)0xc3f1324e, (q31_t)0x29d6dc3b, (q31_t)0xc3f58b10, + (q31_t)0x29cb12ad, (q31_t)0xc3f9e624, (q31_t)0x29bf49fa, (q31_t)0xc3fe4388, + (q31_t)0x29b38223, (q31_t)0xc402a33c, (q31_t)0x29a7bb28, (q31_t)0xc4070540, + (q31_t)0x299bf509, (q31_t)0xc40b6994, (q31_t)0x29902fc7, (q31_t)0xc40fd037, + (q31_t)0x29846b63, (q31_t)0xc414392b, (q31_t)0x2978a7dd, (q31_t)0xc418a46d, + (q31_t)0x296ce535, (q31_t)0xc41d11ff, (q31_t)0x2961236c, (q31_t)0xc42181e0, + (q31_t)0x29556282, (q31_t)0xc425f410, (q31_t)0x2949a278, (q31_t)0xc42a688f, + (q31_t)0x293de34e, (q31_t)0xc42edf5c, (q31_t)0x29322505, (q31_t)0xc4335877, + (q31_t)0x2926679c, (q31_t)0xc437d3e1, (q31_t)0x291aab16, (q31_t)0xc43c5199, + (q31_t)0x290eef71, (q31_t)0xc440d19e, (q31_t)0x290334af, (q31_t)0xc44553f2, + (q31_t)0x28f77acf, (q31_t)0xc449d892, (q31_t)0x28ebc1d3, (q31_t)0xc44e5f80, + (q31_t)0x28e009ba, (q31_t)0xc452e8bc, (q31_t)0x28d45286, (q31_t)0xc4577444, + (q31_t)0x28c89c37, (q31_t)0xc45c0219, (q31_t)0x28bce6cd, (q31_t)0xc460923b, + (q31_t)0x28b13248, (q31_t)0xc46524a9, (q31_t)0x28a57ea9, (q31_t)0xc469b963, + (q31_t)0x2899cbf1, (q31_t)0xc46e5069, (q31_t)0x288e1a20, (q31_t)0xc472e9bc, + (q31_t)0x28826936, (q31_t)0xc477855a, (q31_t)0x2876b934, (q31_t)0xc47c2344, + (q31_t)0x286b0a1a, (q31_t)0xc480c379, (q31_t)0x285f5be9, (q31_t)0xc48565f9, + (q31_t)0x2853aea1, (q31_t)0xc48a0ac4, (q31_t)0x28480243, (q31_t)0xc48eb1db, + (q31_t)0x283c56cf, (q31_t)0xc4935b3c, (q31_t)0x2830ac45, (q31_t)0xc49806e7, + (q31_t)0x282502a7, (q31_t)0xc49cb4dd, (q31_t)0x281959f4, (q31_t)0xc4a1651c, + (q31_t)0x280db22d, (q31_t)0xc4a617a6, (q31_t)0x28020b52, (q31_t)0xc4aacc7a, + (q31_t)0x27f66564, (q31_t)0xc4af8397, (q31_t)0x27eac063, (q31_t)0xc4b43cfd, + (q31_t)0x27df1c50, (q31_t)0xc4b8f8ad, (q31_t)0x27d3792b, (q31_t)0xc4bdb6a6, + (q31_t)0x27c7d6f4, (q31_t)0xc4c276e8, (q31_t)0x27bc35ad, (q31_t)0xc4c73972, + (q31_t)0x27b09555, (q31_t)0xc4cbfe45, (q31_t)0x27a4f5ed, (q31_t)0xc4d0c560, + (q31_t)0x27995776, (q31_t)0xc4d58ec3, (q31_t)0x278db9ef, (q31_t)0xc4da5a6f, + (q31_t)0x27821d59, (q31_t)0xc4df2862, (q31_t)0x277681b6, (q31_t)0xc4e3f89c, + (q31_t)0x276ae704, (q31_t)0xc4e8cb1e, (q31_t)0x275f4d45, (q31_t)0xc4ed9fe7, + (q31_t)0x2753b479, (q31_t)0xc4f276f7, (q31_t)0x27481ca1, (q31_t)0xc4f7504e, + (q31_t)0x273c85bc, (q31_t)0xc4fc2bec, (q31_t)0x2730efcc, (q31_t)0xc50109d0, + (q31_t)0x27255ad1, (q31_t)0xc505e9fb, (q31_t)0x2719c6cb, (q31_t)0xc50acc6b, + (q31_t)0x270e33bb, (q31_t)0xc50fb121, (q31_t)0x2702a1a1, (q31_t)0xc514981d, + (q31_t)0x26f7107e, (q31_t)0xc519815f, (q31_t)0x26eb8052, (q31_t)0xc51e6ce6, + (q31_t)0x26dff11d, (q31_t)0xc5235ab2, (q31_t)0x26d462e1, (q31_t)0xc5284ac3, + (q31_t)0x26c8d59c, (q31_t)0xc52d3d18, (q31_t)0x26bd4951, (q31_t)0xc53231b3, + (q31_t)0x26b1bdff, (q31_t)0xc5372891, (q31_t)0x26a633a6, (q31_t)0xc53c21b4, + (q31_t)0x269aaa48, (q31_t)0xc5411d1b, (q31_t)0x268f21e5, (q31_t)0xc5461ac6, + (q31_t)0x26839a7c, (q31_t)0xc54b1ab4, (q31_t)0x26781410, (q31_t)0xc5501ce5, + (q31_t)0x266c8e9f, (q31_t)0xc555215a, (q31_t)0x26610a2a, (q31_t)0xc55a2812, + (q31_t)0x265586b3, (q31_t)0xc55f310d, (q31_t)0x264a0438, (q31_t)0xc5643c4a, + (q31_t)0x263e82bc, (q31_t)0xc56949ca, (q31_t)0x2633023e, (q31_t)0xc56e598c, + (q31_t)0x262782be, (q31_t)0xc5736b90, (q31_t)0x261c043d, (q31_t)0xc5787fd6, + (q31_t)0x261086bc, (q31_t)0xc57d965d, (q31_t)0x26050a3b, (q31_t)0xc582af26, + (q31_t)0x25f98ebb, (q31_t)0xc587ca31, (q31_t)0x25ee143b, (q31_t)0xc58ce77c, + (q31_t)0x25e29abc, (q31_t)0xc5920708, (q31_t)0x25d72240, (q31_t)0xc59728d5, + (q31_t)0x25cbaac5, (q31_t)0xc59c4ce3, (q31_t)0x25c0344d, (q31_t)0xc5a17330, + (q31_t)0x25b4bed8, (q31_t)0xc5a69bbe, (q31_t)0x25a94a67, (q31_t)0xc5abc68c, + (q31_t)0x259dd6f9, (q31_t)0xc5b0f399, (q31_t)0x25926490, (q31_t)0xc5b622e6, + (q31_t)0x2586f32c, (q31_t)0xc5bb5472, (q31_t)0x257b82cd, (q31_t)0xc5c0883d, + (q31_t)0x25701374, (q31_t)0xc5c5be47, (q31_t)0x2564a521, (q31_t)0xc5caf690, + (q31_t)0x255937d5, (q31_t)0xc5d03118, (q31_t)0x254dcb8f, (q31_t)0xc5d56ddd, + (q31_t)0x25426051, (q31_t)0xc5daace1, (q31_t)0x2536f61b, (q31_t)0xc5dfee22, + (q31_t)0x252b8cee, (q31_t)0xc5e531a1, (q31_t)0x252024c9, (q31_t)0xc5ea775e, + (q31_t)0x2514bdad, (q31_t)0xc5efbf58, (q31_t)0x2509579b, (q31_t)0xc5f5098f, + (q31_t)0x24fdf294, (q31_t)0xc5fa5603, (q31_t)0x24f28e96, (q31_t)0xc5ffa4b3, + (q31_t)0x24e72ba4, (q31_t)0xc604f5a0, (q31_t)0x24dbc9bd, (q31_t)0xc60a48c9, + (q31_t)0x24d068e2, (q31_t)0xc60f9e2e, (q31_t)0x24c50914, (q31_t)0xc614f5cf, + (q31_t)0x24b9aa52, (q31_t)0xc61a4fac, (q31_t)0x24ae4c9d, (q31_t)0xc61fabc4, + (q31_t)0x24a2eff6, (q31_t)0xc6250a18, (q31_t)0x2497945d, (q31_t)0xc62a6aa6, + (q31_t)0x248c39d3, (q31_t)0xc62fcd6f, (q31_t)0x2480e057, (q31_t)0xc6353273, + (q31_t)0x247587eb, (q31_t)0xc63a99b1, (q31_t)0x246a308f, (q31_t)0xc6400329, + (q31_t)0x245eda43, (q31_t)0xc6456edb, (q31_t)0x24538507, (q31_t)0xc64adcc7, + (q31_t)0x244830dd, (q31_t)0xc6504ced, (q31_t)0x243cddc4, (q31_t)0xc655bf4c, + (q31_t)0x24318bbe, (q31_t)0xc65b33e4, (q31_t)0x24263ac9, (q31_t)0xc660aab5, + (q31_t)0x241aeae8, (q31_t)0xc66623be, (q31_t)0x240f9c1a, (q31_t)0xc66b9f01, + (q31_t)0x24044e60, (q31_t)0xc6711c7b, (q31_t)0x23f901ba, (q31_t)0xc6769c2e, + (q31_t)0x23edb628, (q31_t)0xc67c1e18, (q31_t)0x23e26bac, (q31_t)0xc681a23a, + (q31_t)0x23d72245, (q31_t)0xc6872894, (q31_t)0x23cbd9f4, (q31_t)0xc68cb124, + (q31_t)0x23c092b9, (q31_t)0xc6923bec, (q31_t)0x23b54c95, (q31_t)0xc697c8eb, + (q31_t)0x23aa0788, (q31_t)0xc69d5820, (q31_t)0x239ec393, (q31_t)0xc6a2e98b, + (q31_t)0x239380b6, (q31_t)0xc6a87d2d, (q31_t)0x23883ef2, (q31_t)0xc6ae1304, + (q31_t)0x237cfe47, (q31_t)0xc6b3ab12, (q31_t)0x2371beb5, (q31_t)0xc6b94554, + (q31_t)0x2366803c, (q31_t)0xc6bee1cd, (q31_t)0x235b42df, (q31_t)0xc6c4807a, + (q31_t)0x2350069b, (q31_t)0xc6ca215c, (q31_t)0x2344cb73, (q31_t)0xc6cfc472, + (q31_t)0x23399167, (q31_t)0xc6d569be, (q31_t)0x232e5876, (q31_t)0xc6db113d, + (q31_t)0x232320a2, (q31_t)0xc6e0baf0, (q31_t)0x2317e9eb, (q31_t)0xc6e666d7, + (q31_t)0x230cb451, (q31_t)0xc6ec14f2, (q31_t)0x23017fd5, (q31_t)0xc6f1c540, + (q31_t)0x22f64c77, (q31_t)0xc6f777c1, (q31_t)0x22eb1a37, (q31_t)0xc6fd2c75, + (q31_t)0x22dfe917, (q31_t)0xc702e35c, (q31_t)0x22d4b916, (q31_t)0xc7089c75, + (q31_t)0x22c98a35, (q31_t)0xc70e57c0, (q31_t)0x22be5c74, (q31_t)0xc714153e, + (q31_t)0x22b32fd4, (q31_t)0xc719d4ed, (q31_t)0x22a80456, (q31_t)0xc71f96ce, + (q31_t)0x229cd9f8, (q31_t)0xc7255ae0, (q31_t)0x2291b0bd, (q31_t)0xc72b2123, + (q31_t)0x228688a4, (q31_t)0xc730e997, (q31_t)0x227b61af, (q31_t)0xc736b43c, + (q31_t)0x22703bdc, (q31_t)0xc73c8111, (q31_t)0x2265172e, (q31_t)0xc7425016, + (q31_t)0x2259f3a3, (q31_t)0xc748214c, (q31_t)0x224ed13d, (q31_t)0xc74df4b1, + (q31_t)0x2243affc, (q31_t)0xc753ca46, (q31_t)0x22388fe1, (q31_t)0xc759a20a, + (q31_t)0x222d70eb, (q31_t)0xc75f7bfe, (q31_t)0x2222531c, (q31_t)0xc7655820, + (q31_t)0x22173674, (q31_t)0xc76b3671, (q31_t)0x220c1af3, (q31_t)0xc77116f0, + (q31_t)0x22010099, (q31_t)0xc776f99d, (q31_t)0x21f5e768, (q31_t)0xc77cde79, + (q31_t)0x21eacf5f, (q31_t)0xc782c582, (q31_t)0x21dfb87f, (q31_t)0xc788aeb9, + (q31_t)0x21d4a2c8, (q31_t)0xc78e9a1d, (q31_t)0x21c98e3b, (q31_t)0xc79487ae, + (q31_t)0x21be7ad8, (q31_t)0xc79a776c, (q31_t)0x21b368a0, (q31_t)0xc7a06957, + (q31_t)0x21a85793, (q31_t)0xc7a65d6e, (q31_t)0x219d47b1, (q31_t)0xc7ac53b1, + (q31_t)0x219238fb, (q31_t)0xc7b24c20, (q31_t)0x21872b72, (q31_t)0xc7b846ba, + (q31_t)0x217c1f15, (q31_t)0xc7be4381, (q31_t)0x217113e5, (q31_t)0xc7c44272, + (q31_t)0x216609e3, (q31_t)0xc7ca438f, (q31_t)0x215b0110, (q31_t)0xc7d046d6, + (q31_t)0x214ff96a, (q31_t)0xc7d64c47, (q31_t)0x2144f2f3, (q31_t)0xc7dc53e3, + (q31_t)0x2139edac, (q31_t)0xc7e25daa, (q31_t)0x212ee995, (q31_t)0xc7e8699a, + (q31_t)0x2123e6ad, (q31_t)0xc7ee77b3, (q31_t)0x2118e4f6, (q31_t)0xc7f487f6, + (q31_t)0x210de470, (q31_t)0xc7fa9a62, (q31_t)0x2102e51c, (q31_t)0xc800aef7, + (q31_t)0x20f7e6f9, (q31_t)0xc806c5b5, (q31_t)0x20ecea09, (q31_t)0xc80cde9b, + (q31_t)0x20e1ee4b, (q31_t)0xc812f9a9, (q31_t)0x20d6f3c1, (q31_t)0xc81916df, + (q31_t)0x20cbfa6a, (q31_t)0xc81f363d, (q31_t)0x20c10247, (q31_t)0xc82557c3, + (q31_t)0x20b60b58, (q31_t)0xc82b7b70, (q31_t)0x20ab159e, (q31_t)0xc831a143, + (q31_t)0x20a0211a, (q31_t)0xc837c93e, (q31_t)0x20952dcb, (q31_t)0xc83df35f, + (q31_t)0x208a3bb2, (q31_t)0xc8441fa6, (q31_t)0x207f4acf, (q31_t)0xc84a4e14, + (q31_t)0x20745b24, (q31_t)0xc8507ea7, (q31_t)0x20696cb0, (q31_t)0xc856b160, + (q31_t)0x205e7f74, (q31_t)0xc85ce63e, (q31_t)0x2053936f, (q31_t)0xc8631d42, + (q31_t)0x2048a8a4, (q31_t)0xc869566a, (q31_t)0x203dbf11, (q31_t)0xc86f91b7, + (q31_t)0x2032d6b8, (q31_t)0xc875cf28, (q31_t)0x2027ef99, (q31_t)0xc87c0ebd, + (q31_t)0x201d09b4, (q31_t)0xc8825077, (q31_t)0x2012250a, (q31_t)0xc8889454, + (q31_t)0x2007419b, (q31_t)0xc88eda54, (q31_t)0x1ffc5f67, (q31_t)0xc8952278, + (q31_t)0x1ff17e70, (q31_t)0xc89b6cbf, (q31_t)0x1fe69eb4, (q31_t)0xc8a1b928, + (q31_t)0x1fdbc036, (q31_t)0xc8a807b4, (q31_t)0x1fd0e2f5, (q31_t)0xc8ae5862, + (q31_t)0x1fc606f1, (q31_t)0xc8b4ab32, (q31_t)0x1fbb2c2c, (q31_t)0xc8bb0023, + (q31_t)0x1fb052a5, (q31_t)0xc8c15736, (q31_t)0x1fa57a5d, (q31_t)0xc8c7b06b, + (q31_t)0x1f9aa354, (q31_t)0xc8ce0bc0, (q31_t)0x1f8fcd8b, (q31_t)0xc8d46936, + (q31_t)0x1f84f902, (q31_t)0xc8dac8cd, (q31_t)0x1f7a25ba, (q31_t)0xc8e12a84, + (q31_t)0x1f6f53b3, (q31_t)0xc8e78e5b, (q31_t)0x1f6482ed, (q31_t)0xc8edf452, + (q31_t)0x1f59b369, (q31_t)0xc8f45c68, (q31_t)0x1f4ee527, (q31_t)0xc8fac69e, + (q31_t)0x1f441828, (q31_t)0xc90132f2, (q31_t)0x1f394c6b, (q31_t)0xc907a166, + (q31_t)0x1f2e81f3, (q31_t)0xc90e11f7, (q31_t)0x1f23b8be, (q31_t)0xc91484a8, + (q31_t)0x1f18f0ce, (q31_t)0xc91af976, (q31_t)0x1f0e2a22, (q31_t)0xc9217062, + (q31_t)0x1f0364bc, (q31_t)0xc927e96b, (q31_t)0x1ef8a09b, (q31_t)0xc92e6492, + (q31_t)0x1eedddc0, (q31_t)0xc934e1d6, (q31_t)0x1ee31c2b, (q31_t)0xc93b6137, + (q31_t)0x1ed85bdd, (q31_t)0xc941e2b4, (q31_t)0x1ecd9cd7, (q31_t)0xc948664d, + (q31_t)0x1ec2df18, (q31_t)0xc94eec03, (q31_t)0x1eb822a1, (q31_t)0xc95573d4, + (q31_t)0x1ead6773, (q31_t)0xc95bfdc1, (q31_t)0x1ea2ad8d, (q31_t)0xc96289c9, + (q31_t)0x1e97f4f1, (q31_t)0xc96917ec, (q31_t)0x1e8d3d9e, (q31_t)0xc96fa82a, + (q31_t)0x1e828796, (q31_t)0xc9763a83, (q31_t)0x1e77d2d8, (q31_t)0xc97ccef5, + (q31_t)0x1e6d1f65, (q31_t)0xc9836582, (q31_t)0x1e626d3e, (q31_t)0xc989fe29, + (q31_t)0x1e57bc62, (q31_t)0xc99098e9, (q31_t)0x1e4d0cd2, (q31_t)0xc99735c2, + (q31_t)0x1e425e8f, (q31_t)0xc99dd4b4, (q31_t)0x1e37b199, (q31_t)0xc9a475bf, + (q31_t)0x1e2d05f1, (q31_t)0xc9ab18e3, (q31_t)0x1e225b96, (q31_t)0xc9b1be1e, + (q31_t)0x1e17b28a, (q31_t)0xc9b86572, (q31_t)0x1e0d0acc, (q31_t)0xc9bf0edd, + (q31_t)0x1e02645d, (q31_t)0xc9c5ba60, (q31_t)0x1df7bf3e, (q31_t)0xc9cc67fa, + (q31_t)0x1ded1b6e, (q31_t)0xc9d317ab, (q31_t)0x1de278ef, (q31_t)0xc9d9c973, + (q31_t)0x1dd7d7c1, (q31_t)0xc9e07d51, (q31_t)0x1dcd37e4, (q31_t)0xc9e73346, + (q31_t)0x1dc29958, (q31_t)0xc9edeb50, (q31_t)0x1db7fc1e, (q31_t)0xc9f4a570, + (q31_t)0x1dad6036, (q31_t)0xc9fb61a5, (q31_t)0x1da2c5a2, (q31_t)0xca021fef, + (q31_t)0x1d982c60, (q31_t)0xca08e04f, (q31_t)0x1d8d9472, (q31_t)0xca0fa2c3, + (q31_t)0x1d82fdd8, (q31_t)0xca16674b, (q31_t)0x1d786892, (q31_t)0xca1d2de7, + (q31_t)0x1d6dd4a2, (q31_t)0xca23f698, (q31_t)0x1d634206, (q31_t)0xca2ac15b, + (q31_t)0x1d58b0c0, (q31_t)0xca318e32, (q31_t)0x1d4e20d0, (q31_t)0xca385d1d, + (q31_t)0x1d439236, (q31_t)0xca3f2e19, (q31_t)0x1d3904f4, (q31_t)0xca460129, + (q31_t)0x1d2e7908, (q31_t)0xca4cd64b, (q31_t)0x1d23ee74, (q31_t)0xca53ad7e, + (q31_t)0x1d196538, (q31_t)0xca5a86c4, (q31_t)0x1d0edd55, (q31_t)0xca61621b, + (q31_t)0x1d0456ca, (q31_t)0xca683f83, (q31_t)0x1cf9d199, (q31_t)0xca6f1efc, + (q31_t)0x1cef4dc2, (q31_t)0xca760086, (q31_t)0x1ce4cb44, (q31_t)0xca7ce420, + (q31_t)0x1cda4a21, (q31_t)0xca83c9ca, (q31_t)0x1ccfca59, (q31_t)0xca8ab184, + (q31_t)0x1cc54bec, (q31_t)0xca919b4e, (q31_t)0x1cbacedb, (q31_t)0xca988727, + (q31_t)0x1cb05326, (q31_t)0xca9f750f, (q31_t)0x1ca5d8cd, (q31_t)0xcaa66506, + (q31_t)0x1c9b5fd2, (q31_t)0xcaad570c, (q31_t)0x1c90e834, (q31_t)0xcab44b1f, + (q31_t)0x1c8671f3, (q31_t)0xcabb4141, (q31_t)0x1c7bfd11, (q31_t)0xcac23971, + (q31_t)0x1c71898d, (q31_t)0xcac933ae, (q31_t)0x1c671768, (q31_t)0xcad02ff8, + (q31_t)0x1c5ca6a2, (q31_t)0xcad72e4f, (q31_t)0x1c52373c, (q31_t)0xcade2eb3, + (q31_t)0x1c47c936, (q31_t)0xcae53123, (q31_t)0x1c3d5c91, (q31_t)0xcaec35a0, + (q31_t)0x1c32f14d, (q31_t)0xcaf33c28, (q31_t)0x1c28876a, (q31_t)0xcafa44bc, + (q31_t)0x1c1e1ee9, (q31_t)0xcb014f5b, (q31_t)0x1c13b7c9, (q31_t)0xcb085c05, + (q31_t)0x1c09520d, (q31_t)0xcb0f6aba, (q31_t)0x1bfeedb3, (q31_t)0xcb167b79, + (q31_t)0x1bf48abd, (q31_t)0xcb1d8e43, (q31_t)0x1bea292b, (q31_t)0xcb24a316, + (q31_t)0x1bdfc8fc, (q31_t)0xcb2bb9f4, (q31_t)0x1bd56a32, (q31_t)0xcb32d2da, + (q31_t)0x1bcb0cce, (q31_t)0xcb39edca, (q31_t)0x1bc0b0ce, (q31_t)0xcb410ac3, + (q31_t)0x1bb65634, (q31_t)0xcb4829c4, (q31_t)0x1babfd01, (q31_t)0xcb4f4acd, + (q31_t)0x1ba1a534, (q31_t)0xcb566ddf, (q31_t)0x1b974ece, (q31_t)0xcb5d92f8, + (q31_t)0x1b8cf9cf, (q31_t)0xcb64ba19, (q31_t)0x1b82a638, (q31_t)0xcb6be341, + (q31_t)0x1b785409, (q31_t)0xcb730e70, (q31_t)0x1b6e0342, (q31_t)0xcb7a3ba5, + (q31_t)0x1b63b3e5, (q31_t)0xcb816ae1, (q31_t)0x1b5965f1, (q31_t)0xcb889c23, + (q31_t)0x1b4f1967, (q31_t)0xcb8fcf6b, (q31_t)0x1b44ce46, (q31_t)0xcb9704b9, + (q31_t)0x1b3a8491, (q31_t)0xcb9e3c0b, (q31_t)0x1b303c46, (q31_t)0xcba57563, + (q31_t)0x1b25f566, (q31_t)0xcbacb0bf, (q31_t)0x1b1baff2, (q31_t)0xcbb3ee20, + (q31_t)0x1b116beb, (q31_t)0xcbbb2d85, (q31_t)0x1b072950, (q31_t)0xcbc26eee, + (q31_t)0x1afce821, (q31_t)0xcbc9b25a, (q31_t)0x1af2a860, (q31_t)0xcbd0f7ca, + (q31_t)0x1ae86a0d, (q31_t)0xcbd83f3d, (q31_t)0x1ade2d28, (q31_t)0xcbdf88b3, + (q31_t)0x1ad3f1b1, (q31_t)0xcbe6d42b, (q31_t)0x1ac9b7a9, (q31_t)0xcbee21a5, + (q31_t)0x1abf7f11, (q31_t)0xcbf57121, (q31_t)0x1ab547e8, (q31_t)0xcbfcc29f, + (q31_t)0x1aab122f, (q31_t)0xcc04161e, (q31_t)0x1aa0dde7, (q31_t)0xcc0b6b9e, + (q31_t)0x1a96ab0f, (q31_t)0xcc12c31f, (q31_t)0x1a8c79a9, (q31_t)0xcc1a1ca0, + (q31_t)0x1a8249b4, (q31_t)0xcc217822, (q31_t)0x1a781b31, (q31_t)0xcc28d5a3, + (q31_t)0x1a6dee21, (q31_t)0xcc303524, (q31_t)0x1a63c284, (q31_t)0xcc3796a5, + (q31_t)0x1a599859, (q31_t)0xcc3efa25, (q31_t)0x1a4f6fa3, (q31_t)0xcc465fa3, + (q31_t)0x1a454860, (q31_t)0xcc4dc720, (q31_t)0x1a3b2292, (q31_t)0xcc55309b, + (q31_t)0x1a30fe38, (q31_t)0xcc5c9c14, (q31_t)0x1a26db54, (q31_t)0xcc64098b, + (q31_t)0x1a1cb9e5, (q31_t)0xcc6b78ff, (q31_t)0x1a1299ec, (q31_t)0xcc72ea70, + (q31_t)0x1a087b69, (q31_t)0xcc7a5dde, (q31_t)0x19fe5e5e, (q31_t)0xcc81d349, + (q31_t)0x19f442c9, (q31_t)0xcc894aaf, (q31_t)0x19ea28ac, (q31_t)0xcc90c412, + (q31_t)0x19e01006, (q31_t)0xcc983f70, (q31_t)0x19d5f8d9, (q31_t)0xcc9fbcca, + (q31_t)0x19cbe325, (q31_t)0xcca73c1e, (q31_t)0x19c1cee9, (q31_t)0xccaebd6e, + (q31_t)0x19b7bc27, (q31_t)0xccb640b8, (q31_t)0x19adaadf, (q31_t)0xccbdc5fc, + (q31_t)0x19a39b11, (q31_t)0xccc54d3a, (q31_t)0x19998cbe, (q31_t)0xccccd671, + (q31_t)0x198f7fe6, (q31_t)0xccd461a2, (q31_t)0x19857489, (q31_t)0xccdbeecc, + (q31_t)0x197b6aa8, (q31_t)0xcce37def, (q31_t)0x19716243, (q31_t)0xcceb0f0a, + (q31_t)0x19675b5a, (q31_t)0xccf2a21d, (q31_t)0x195d55ef, (q31_t)0xccfa3729, + (q31_t)0x19535201, (q31_t)0xcd01ce2b, (q31_t)0x19494f90, (q31_t)0xcd096725, + (q31_t)0x193f4e9e, (q31_t)0xcd110216, (q31_t)0x19354f2a, (q31_t)0xcd189efe, + (q31_t)0x192b5135, (q31_t)0xcd203ddc, (q31_t)0x192154bf, (q31_t)0xcd27deb0, + (q31_t)0x191759c9, (q31_t)0xcd2f817b, (q31_t)0x190d6053, (q31_t)0xcd37263a, + (q31_t)0x1903685d, (q31_t)0xcd3eccef, (q31_t)0x18f971e8, (q31_t)0xcd467599, + (q31_t)0x18ef7cf4, (q31_t)0xcd4e2037, (q31_t)0x18e58982, (q31_t)0xcd55ccca, + (q31_t)0x18db9792, (q31_t)0xcd5d7b50, (q31_t)0x18d1a724, (q31_t)0xcd652bcb, + (q31_t)0x18c7b838, (q31_t)0xcd6cde39, (q31_t)0x18bdcad0, (q31_t)0xcd74929a, + (q31_t)0x18b3deeb, (q31_t)0xcd7c48ee, (q31_t)0x18a9f48a, (q31_t)0xcd840134, + (q31_t)0x18a00bae, (q31_t)0xcd8bbb6d, (q31_t)0x18962456, (q31_t)0xcd937798, + (q31_t)0x188c3e83, (q31_t)0xcd9b35b4, (q31_t)0x18825a35, (q31_t)0xcda2f5c2, + (q31_t)0x1878776d, (q31_t)0xcdaab7c0, (q31_t)0x186e962b, (q31_t)0xcdb27bb0, + (q31_t)0x1864b670, (q31_t)0xcdba4190, (q31_t)0x185ad83c, (q31_t)0xcdc20960, + (q31_t)0x1850fb8e, (q31_t)0xcdc9d320, (q31_t)0x18472069, (q31_t)0xcdd19ed0, + (q31_t)0x183d46cc, (q31_t)0xcdd96c6f, (q31_t)0x18336eb7, (q31_t)0xcde13bfd, + (q31_t)0x1829982b, (q31_t)0xcde90d79, (q31_t)0x181fc328, (q31_t)0xcdf0e0e4, + (q31_t)0x1815efae, (q31_t)0xcdf8b63d, (q31_t)0x180c1dbf, (q31_t)0xce008d84, + (q31_t)0x18024d59, (q31_t)0xce0866b8, (q31_t)0x17f87e7f, (q31_t)0xce1041d9, + (q31_t)0x17eeb130, (q31_t)0xce181ee8, (q31_t)0x17e4e56c, (q31_t)0xce1ffde2, + (q31_t)0x17db1b34, (q31_t)0xce27dec9, (q31_t)0x17d15288, (q31_t)0xce2fc19c, + (q31_t)0x17c78b68, (q31_t)0xce37a65b, (q31_t)0x17bdc5d6, (q31_t)0xce3f8d05, + (q31_t)0x17b401d1, (q31_t)0xce47759a, (q31_t)0x17aa3f5a, (q31_t)0xce4f6019, + (q31_t)0x17a07e70, (q31_t)0xce574c84, (q31_t)0x1796bf16, (q31_t)0xce5f3ad8, + (q31_t)0x178d014a, (q31_t)0xce672b16, (q31_t)0x1783450d, (q31_t)0xce6f1d3d, + (q31_t)0x17798a60, (q31_t)0xce77114e, (q31_t)0x176fd143, (q31_t)0xce7f0748, + (q31_t)0x176619b6, (q31_t)0xce86ff2a, (q31_t)0x175c63ba, (q31_t)0xce8ef8f4, + (q31_t)0x1752af4f, (q31_t)0xce96f4a7, (q31_t)0x1748fc75, (q31_t)0xce9ef241, + (q31_t)0x173f4b2e, (q31_t)0xcea6f1c2, (q31_t)0x17359b78, (q31_t)0xceaef32b, + (q31_t)0x172bed55, (q31_t)0xceb6f67a, (q31_t)0x172240c5, (q31_t)0xcebefbb0, + (q31_t)0x171895c9, (q31_t)0xcec702cb, (q31_t)0x170eec60, (q31_t)0xcecf0bcd, + (q31_t)0x1705448b, (q31_t)0xced716b4, (q31_t)0x16fb9e4b, (q31_t)0xcedf2380, + (q31_t)0x16f1f99f, (q31_t)0xcee73231, (q31_t)0x16e85689, (q31_t)0xceef42c7, + (q31_t)0x16deb508, (q31_t)0xcef75541, (q31_t)0x16d5151d, (q31_t)0xceff699f, + (q31_t)0x16cb76c9, (q31_t)0xcf077fe1, (q31_t)0x16c1da0b, (q31_t)0xcf0f9805, + (q31_t)0x16b83ee4, (q31_t)0xcf17b20d, (q31_t)0x16aea555, (q31_t)0xcf1fcdf8, + (q31_t)0x16a50d5d, (q31_t)0xcf27ebc5, (q31_t)0x169b76fe, (q31_t)0xcf300b74, + (q31_t)0x1691e237, (q31_t)0xcf382d05, (q31_t)0x16884f09, (q31_t)0xcf405077, + (q31_t)0x167ebd74, (q31_t)0xcf4875ca, (q31_t)0x16752d79, (q31_t)0xcf509cfe, + (q31_t)0x166b9f18, (q31_t)0xcf58c613, (q31_t)0x16621251, (q31_t)0xcf60f108, + (q31_t)0x16588725, (q31_t)0xcf691ddd, (q31_t)0x164efd94, (q31_t)0xcf714c91, + (q31_t)0x1645759f, (q31_t)0xcf797d24, (q31_t)0x163bef46, (q31_t)0xcf81af97, + (q31_t)0x16326a88, (q31_t)0xcf89e3e8, (q31_t)0x1628e767, (q31_t)0xcf921a17, + (q31_t)0x161f65e4, (q31_t)0xcf9a5225, (q31_t)0x1615e5fd, (q31_t)0xcfa28c10, + (q31_t)0x160c67b4, (q31_t)0xcfaac7d8, (q31_t)0x1602eb0a, (q31_t)0xcfb3057d, + (q31_t)0x15f96ffd, (q31_t)0xcfbb4500, (q31_t)0x15eff690, (q31_t)0xcfc3865e, + (q31_t)0x15e67ec1, (q31_t)0xcfcbc999, (q31_t)0x15dd0892, (q31_t)0xcfd40eaf, + (q31_t)0x15d39403, (q31_t)0xcfdc55a1, (q31_t)0x15ca2115, (q31_t)0xcfe49e6d, + (q31_t)0x15c0afc6, (q31_t)0xcfece915, (q31_t)0x15b74019, (q31_t)0xcff53597, + (q31_t)0x15add20d, (q31_t)0xcffd83f4, (q31_t)0x15a465a3, (q31_t)0xd005d42a, + (q31_t)0x159afadb, (q31_t)0xd00e2639, (q31_t)0x159191b5, (q31_t)0xd0167a22, + (q31_t)0x15882a32, (q31_t)0xd01ecfe4, (q31_t)0x157ec452, (q31_t)0xd027277e, + (q31_t)0x15756016, (q31_t)0xd02f80f1, (q31_t)0x156bfd7d, (q31_t)0xd037dc3b, + (q31_t)0x15629c89, (q31_t)0xd040395d, (q31_t)0x15593d3a, (q31_t)0xd0489856, + (q31_t)0x154fdf8f, (q31_t)0xd050f926, (q31_t)0x15468389, (q31_t)0xd0595bcd, + (q31_t)0x153d292a, (q31_t)0xd061c04a, (q31_t)0x1533d070, (q31_t)0xd06a269d, + (q31_t)0x152a795d, (q31_t)0xd0728ec6, (q31_t)0x152123f0, (q31_t)0xd07af8c4, + (q31_t)0x1517d02b, (q31_t)0xd0836497, (q31_t)0x150e7e0d, (q31_t)0xd08bd23f, + (q31_t)0x15052d97, (q31_t)0xd09441bb, (q31_t)0x14fbdec9, (q31_t)0xd09cb30b, + (q31_t)0x14f291a4, (q31_t)0xd0a5262f, (q31_t)0x14e94627, (q31_t)0xd0ad9b26, + (q31_t)0x14dffc54, (q31_t)0xd0b611f1, (q31_t)0x14d6b42b, (q31_t)0xd0be8a8d, + (q31_t)0x14cd6dab, (q31_t)0xd0c704fd, (q31_t)0x14c428d6, (q31_t)0xd0cf813e, + (q31_t)0x14bae5ab, (q31_t)0xd0d7ff51, (q31_t)0x14b1a42c, (q31_t)0xd0e07f36, + (q31_t)0x14a86458, (q31_t)0xd0e900ec, (q31_t)0x149f2630, (q31_t)0xd0f18472, + (q31_t)0x1495e9b3, (q31_t)0xd0fa09c9, (q31_t)0x148caee4, (q31_t)0xd10290f0, + (q31_t)0x148375c1, (q31_t)0xd10b19e7, (q31_t)0x147a3e4b, (q31_t)0xd113a4ad, + (q31_t)0x14710883, (q31_t)0xd11c3142, (q31_t)0x1467d469, (q31_t)0xd124bfa6, + (q31_t)0x145ea1fd, (q31_t)0xd12d4fd9, (q31_t)0x14557140, (q31_t)0xd135e1d9, + (q31_t)0x144c4232, (q31_t)0xd13e75a8, (q31_t)0x144314d3, (q31_t)0xd1470b44, + (q31_t)0x1439e923, (q31_t)0xd14fa2ad, (q31_t)0x1430bf24, (q31_t)0xd1583be2, + (q31_t)0x142796d5, (q31_t)0xd160d6e5, (q31_t)0x141e7037, (q31_t)0xd16973b3, + (q31_t)0x14154b4a, (q31_t)0xd172124d, (q31_t)0x140c280e, (q31_t)0xd17ab2b3, + (q31_t)0x14030684, (q31_t)0xd18354e4, (q31_t)0x13f9e6ad, (q31_t)0xd18bf8e0, + (q31_t)0x13f0c887, (q31_t)0xd1949ea6, (q31_t)0x13e7ac15, (q31_t)0xd19d4636, + (q31_t)0x13de9156, (q31_t)0xd1a5ef90, (q31_t)0x13d5784a, (q31_t)0xd1ae9ab4, + (q31_t)0x13cc60f2, (q31_t)0xd1b747a0, (q31_t)0x13c34b4f, (q31_t)0xd1bff656, + (q31_t)0x13ba3760, (q31_t)0xd1c8a6d4, (q31_t)0x13b12526, (q31_t)0xd1d1591a, + (q31_t)0x13a814a2, (q31_t)0xd1da0d28, (q31_t)0x139f05d3, (q31_t)0xd1e2c2fd, + (q31_t)0x1395f8ba, (q31_t)0xd1eb7a9a, (q31_t)0x138ced57, (q31_t)0xd1f433fd, + (q31_t)0x1383e3ab, (q31_t)0xd1fcef27, (q31_t)0x137adbb6, (q31_t)0xd205ac17, + (q31_t)0x1371d579, (q31_t)0xd20e6acc, (q31_t)0x1368d0f3, (q31_t)0xd2172b48, + (q31_t)0x135fce26, (q31_t)0xd21fed88, (q31_t)0x1356cd11, (q31_t)0xd228b18d, + (q31_t)0x134dcdb4, (q31_t)0xd2317756, (q31_t)0x1344d011, (q31_t)0xd23a3ee4, + (q31_t)0x133bd427, (q31_t)0xd2430835, (q31_t)0x1332d9f7, (q31_t)0xd24bd34a, + (q31_t)0x1329e181, (q31_t)0xd254a021, (q31_t)0x1320eac6, (q31_t)0xd25d6ebc, + (q31_t)0x1317f5c6, (q31_t)0xd2663f19, (q31_t)0x130f0280, (q31_t)0xd26f1138, + (q31_t)0x130610f7, (q31_t)0xd277e518, (q31_t)0x12fd2129, (q31_t)0xd280babb, + (q31_t)0x12f43318, (q31_t)0xd289921e, (q31_t)0x12eb46c3, (q31_t)0xd2926b41, + (q31_t)0x12e25c2b, (q31_t)0xd29b4626, (q31_t)0x12d97350, (q31_t)0xd2a422ca, + (q31_t)0x12d08c33, (q31_t)0xd2ad012e, (q31_t)0x12c7a6d4, (q31_t)0xd2b5e151, + (q31_t)0x12bec333, (q31_t)0xd2bec333, (q31_t)0x12b5e151, (q31_t)0xd2c7a6d4, + (q31_t)0x12ad012e, (q31_t)0xd2d08c33, (q31_t)0x12a422ca, (q31_t)0xd2d97350, + (q31_t)0x129b4626, (q31_t)0xd2e25c2b, (q31_t)0x12926b41, (q31_t)0xd2eb46c3, + (q31_t)0x1289921e, (q31_t)0xd2f43318, (q31_t)0x1280babb, (q31_t)0xd2fd2129, + (q31_t)0x1277e518, (q31_t)0xd30610f7, (q31_t)0x126f1138, (q31_t)0xd30f0280, + (q31_t)0x12663f19, (q31_t)0xd317f5c6, (q31_t)0x125d6ebc, (q31_t)0xd320eac6, + (q31_t)0x1254a021, (q31_t)0xd329e181, (q31_t)0x124bd34a, (q31_t)0xd332d9f7, + (q31_t)0x12430835, (q31_t)0xd33bd427, (q31_t)0x123a3ee4, (q31_t)0xd344d011, + (q31_t)0x12317756, (q31_t)0xd34dcdb4, (q31_t)0x1228b18d, (q31_t)0xd356cd11, + (q31_t)0x121fed88, (q31_t)0xd35fce26, (q31_t)0x12172b48, (q31_t)0xd368d0f3, + (q31_t)0x120e6acc, (q31_t)0xd371d579, (q31_t)0x1205ac17, (q31_t)0xd37adbb6, + (q31_t)0x11fcef27, (q31_t)0xd383e3ab, (q31_t)0x11f433fd, (q31_t)0xd38ced57, + (q31_t)0x11eb7a9a, (q31_t)0xd395f8ba, (q31_t)0x11e2c2fd, (q31_t)0xd39f05d3, + (q31_t)0x11da0d28, (q31_t)0xd3a814a2, (q31_t)0x11d1591a, (q31_t)0xd3b12526, + (q31_t)0x11c8a6d4, (q31_t)0xd3ba3760, (q31_t)0x11bff656, (q31_t)0xd3c34b4f, + (q31_t)0x11b747a0, (q31_t)0xd3cc60f2, (q31_t)0x11ae9ab4, (q31_t)0xd3d5784a, + (q31_t)0x11a5ef90, (q31_t)0xd3de9156, (q31_t)0x119d4636, (q31_t)0xd3e7ac15, + (q31_t)0x11949ea6, (q31_t)0xd3f0c887, (q31_t)0x118bf8e0, (q31_t)0xd3f9e6ad, + (q31_t)0x118354e4, (q31_t)0xd4030684, (q31_t)0x117ab2b3, (q31_t)0xd40c280e, + (q31_t)0x1172124d, (q31_t)0xd4154b4a, (q31_t)0x116973b3, (q31_t)0xd41e7037, + (q31_t)0x1160d6e5, (q31_t)0xd42796d5, (q31_t)0x11583be2, (q31_t)0xd430bf24, + (q31_t)0x114fa2ad, (q31_t)0xd439e923, (q31_t)0x11470b44, (q31_t)0xd44314d3, + (q31_t)0x113e75a8, (q31_t)0xd44c4232, (q31_t)0x1135e1d9, (q31_t)0xd4557140, + (q31_t)0x112d4fd9, (q31_t)0xd45ea1fd, (q31_t)0x1124bfa6, (q31_t)0xd467d469, + (q31_t)0x111c3142, (q31_t)0xd4710883, (q31_t)0x1113a4ad, (q31_t)0xd47a3e4b, + (q31_t)0x110b19e7, (q31_t)0xd48375c1, (q31_t)0x110290f0, (q31_t)0xd48caee4, + (q31_t)0x10fa09c9, (q31_t)0xd495e9b3, (q31_t)0x10f18472, (q31_t)0xd49f2630, + (q31_t)0x10e900ec, (q31_t)0xd4a86458, (q31_t)0x10e07f36, (q31_t)0xd4b1a42c, + (q31_t)0x10d7ff51, (q31_t)0xd4bae5ab, (q31_t)0x10cf813e, (q31_t)0xd4c428d6, + (q31_t)0x10c704fd, (q31_t)0xd4cd6dab, (q31_t)0x10be8a8d, (q31_t)0xd4d6b42b, + (q31_t)0x10b611f1, (q31_t)0xd4dffc54, (q31_t)0x10ad9b26, (q31_t)0xd4e94627, + (q31_t)0x10a5262f, (q31_t)0xd4f291a4, (q31_t)0x109cb30b, (q31_t)0xd4fbdec9, + (q31_t)0x109441bb, (q31_t)0xd5052d97, (q31_t)0x108bd23f, (q31_t)0xd50e7e0d, + (q31_t)0x10836497, (q31_t)0xd517d02b, (q31_t)0x107af8c4, (q31_t)0xd52123f0, + (q31_t)0x10728ec6, (q31_t)0xd52a795d, (q31_t)0x106a269d, (q31_t)0xd533d070, + (q31_t)0x1061c04a, (q31_t)0xd53d292a, (q31_t)0x10595bcd, (q31_t)0xd5468389, + (q31_t)0x1050f926, (q31_t)0xd54fdf8f, (q31_t)0x10489856, (q31_t)0xd5593d3a, + (q31_t)0x1040395d, (q31_t)0xd5629c89, (q31_t)0x1037dc3b, (q31_t)0xd56bfd7d, + (q31_t)0x102f80f1, (q31_t)0xd5756016, (q31_t)0x1027277e, (q31_t)0xd57ec452, + (q31_t)0x101ecfe4, (q31_t)0xd5882a32, (q31_t)0x10167a22, (q31_t)0xd59191b5, + (q31_t)0x100e2639, (q31_t)0xd59afadb, (q31_t)0x1005d42a, (q31_t)0xd5a465a3, + (q31_t)0xffd83f4, (q31_t)0xd5add20d, (q31_t)0xff53597, (q31_t)0xd5b74019, + (q31_t)0xfece915, (q31_t)0xd5c0afc6, (q31_t)0xfe49e6d, (q31_t)0xd5ca2115, + (q31_t)0xfdc55a1, (q31_t)0xd5d39403, (q31_t)0xfd40eaf, (q31_t)0xd5dd0892, + (q31_t)0xfcbc999, (q31_t)0xd5e67ec1, (q31_t)0xfc3865e, (q31_t)0xd5eff690, + (q31_t)0xfbb4500, (q31_t)0xd5f96ffd, (q31_t)0xfb3057d, (q31_t)0xd602eb0a, + (q31_t)0xfaac7d8, (q31_t)0xd60c67b4, (q31_t)0xfa28c10, (q31_t)0xd615e5fd, + (q31_t)0xf9a5225, (q31_t)0xd61f65e4, (q31_t)0xf921a17, (q31_t)0xd628e767, + (q31_t)0xf89e3e8, (q31_t)0xd6326a88, (q31_t)0xf81af97, (q31_t)0xd63bef46, + (q31_t)0xf797d24, (q31_t)0xd645759f, (q31_t)0xf714c91, (q31_t)0xd64efd94, + (q31_t)0xf691ddd, (q31_t)0xd6588725, (q31_t)0xf60f108, (q31_t)0xd6621251, + (q31_t)0xf58c613, (q31_t)0xd66b9f18, (q31_t)0xf509cfe, (q31_t)0xd6752d79, + (q31_t)0xf4875ca, (q31_t)0xd67ebd74, (q31_t)0xf405077, (q31_t)0xd6884f09, + (q31_t)0xf382d05, (q31_t)0xd691e237, (q31_t)0xf300b74, (q31_t)0xd69b76fe, + (q31_t)0xf27ebc5, (q31_t)0xd6a50d5d, (q31_t)0xf1fcdf8, (q31_t)0xd6aea555, + (q31_t)0xf17b20d, (q31_t)0xd6b83ee4, (q31_t)0xf0f9805, (q31_t)0xd6c1da0b, + (q31_t)0xf077fe1, (q31_t)0xd6cb76c9, (q31_t)0xeff699f, (q31_t)0xd6d5151d, + (q31_t)0xef75541, (q31_t)0xd6deb508, (q31_t)0xeef42c7, (q31_t)0xd6e85689, + (q31_t)0xee73231, (q31_t)0xd6f1f99f, (q31_t)0xedf2380, (q31_t)0xd6fb9e4b, + (q31_t)0xed716b4, (q31_t)0xd705448b, (q31_t)0xecf0bcd, (q31_t)0xd70eec60, + (q31_t)0xec702cb, (q31_t)0xd71895c9, (q31_t)0xebefbb0, (q31_t)0xd72240c5, + (q31_t)0xeb6f67a, (q31_t)0xd72bed55, (q31_t)0xeaef32b, (q31_t)0xd7359b78, + (q31_t)0xea6f1c2, (q31_t)0xd73f4b2e, (q31_t)0xe9ef241, (q31_t)0xd748fc75, + (q31_t)0xe96f4a7, (q31_t)0xd752af4f, (q31_t)0xe8ef8f4, (q31_t)0xd75c63ba, + (q31_t)0xe86ff2a, (q31_t)0xd76619b6, (q31_t)0xe7f0748, (q31_t)0xd76fd143, + (q31_t)0xe77114e, (q31_t)0xd7798a60, (q31_t)0xe6f1d3d, (q31_t)0xd783450d, + (q31_t)0xe672b16, (q31_t)0xd78d014a, (q31_t)0xe5f3ad8, (q31_t)0xd796bf16, + (q31_t)0xe574c84, (q31_t)0xd7a07e70, (q31_t)0xe4f6019, (q31_t)0xd7aa3f5a, + (q31_t)0xe47759a, (q31_t)0xd7b401d1, (q31_t)0xe3f8d05, (q31_t)0xd7bdc5d6, + (q31_t)0xe37a65b, (q31_t)0xd7c78b68, (q31_t)0xe2fc19c, (q31_t)0xd7d15288, + (q31_t)0xe27dec9, (q31_t)0xd7db1b34, (q31_t)0xe1ffde2, (q31_t)0xd7e4e56c, + (q31_t)0xe181ee8, (q31_t)0xd7eeb130, (q31_t)0xe1041d9, (q31_t)0xd7f87e7f, + (q31_t)0xe0866b8, (q31_t)0xd8024d59, (q31_t)0xe008d84, (q31_t)0xd80c1dbf, + (q31_t)0xdf8b63d, (q31_t)0xd815efae, (q31_t)0xdf0e0e4, (q31_t)0xd81fc328, + (q31_t)0xde90d79, (q31_t)0xd829982b, (q31_t)0xde13bfd, (q31_t)0xd8336eb7, + (q31_t)0xdd96c6f, (q31_t)0xd83d46cc, (q31_t)0xdd19ed0, (q31_t)0xd8472069, + (q31_t)0xdc9d320, (q31_t)0xd850fb8e, (q31_t)0xdc20960, (q31_t)0xd85ad83c, + (q31_t)0xdba4190, (q31_t)0xd864b670, (q31_t)0xdb27bb0, (q31_t)0xd86e962b, + (q31_t)0xdaab7c0, (q31_t)0xd878776d, (q31_t)0xda2f5c2, (q31_t)0xd8825a35, + (q31_t)0xd9b35b4, (q31_t)0xd88c3e83, (q31_t)0xd937798, (q31_t)0xd8962456, + (q31_t)0xd8bbb6d, (q31_t)0xd8a00bae, (q31_t)0xd840134, (q31_t)0xd8a9f48a, + (q31_t)0xd7c48ee, (q31_t)0xd8b3deeb, (q31_t)0xd74929a, (q31_t)0xd8bdcad0, + (q31_t)0xd6cde39, (q31_t)0xd8c7b838, (q31_t)0xd652bcb, (q31_t)0xd8d1a724, + (q31_t)0xd5d7b50, (q31_t)0xd8db9792, (q31_t)0xd55ccca, (q31_t)0xd8e58982, + (q31_t)0xd4e2037, (q31_t)0xd8ef7cf4, (q31_t)0xd467599, (q31_t)0xd8f971e8, + (q31_t)0xd3eccef, (q31_t)0xd903685d, (q31_t)0xd37263a, (q31_t)0xd90d6053, + (q31_t)0xd2f817b, (q31_t)0xd91759c9, (q31_t)0xd27deb0, (q31_t)0xd92154bf, + (q31_t)0xd203ddc, (q31_t)0xd92b5135, (q31_t)0xd189efe, (q31_t)0xd9354f2a, + (q31_t)0xd110216, (q31_t)0xd93f4e9e, (q31_t)0xd096725, (q31_t)0xd9494f90, + (q31_t)0xd01ce2b, (q31_t)0xd9535201, (q31_t)0xcfa3729, (q31_t)0xd95d55ef, + (q31_t)0xcf2a21d, (q31_t)0xd9675b5a, (q31_t)0xceb0f0a, (q31_t)0xd9716243, + (q31_t)0xce37def, (q31_t)0xd97b6aa8, (q31_t)0xcdbeecc, (q31_t)0xd9857489, + (q31_t)0xcd461a2, (q31_t)0xd98f7fe6, (q31_t)0xcccd671, (q31_t)0xd9998cbe, + (q31_t)0xcc54d3a, (q31_t)0xd9a39b11, (q31_t)0xcbdc5fc, (q31_t)0xd9adaadf, + (q31_t)0xcb640b8, (q31_t)0xd9b7bc27, (q31_t)0xcaebd6e, (q31_t)0xd9c1cee9, + (q31_t)0xca73c1e, (q31_t)0xd9cbe325, (q31_t)0xc9fbcca, (q31_t)0xd9d5f8d9, + (q31_t)0xc983f70, (q31_t)0xd9e01006, (q31_t)0xc90c412, (q31_t)0xd9ea28ac, + (q31_t)0xc894aaf, (q31_t)0xd9f442c9, (q31_t)0xc81d349, (q31_t)0xd9fe5e5e, + (q31_t)0xc7a5dde, (q31_t)0xda087b69, (q31_t)0xc72ea70, (q31_t)0xda1299ec, + (q31_t)0xc6b78ff, (q31_t)0xda1cb9e5, (q31_t)0xc64098b, (q31_t)0xda26db54, + (q31_t)0xc5c9c14, (q31_t)0xda30fe38, (q31_t)0xc55309b, (q31_t)0xda3b2292, + (q31_t)0xc4dc720, (q31_t)0xda454860, (q31_t)0xc465fa3, (q31_t)0xda4f6fa3, + (q31_t)0xc3efa25, (q31_t)0xda599859, (q31_t)0xc3796a5, (q31_t)0xda63c284, + (q31_t)0xc303524, (q31_t)0xda6dee21, (q31_t)0xc28d5a3, (q31_t)0xda781b31, + (q31_t)0xc217822, (q31_t)0xda8249b4, (q31_t)0xc1a1ca0, (q31_t)0xda8c79a9, + (q31_t)0xc12c31f, (q31_t)0xda96ab0f, (q31_t)0xc0b6b9e, (q31_t)0xdaa0dde7, + (q31_t)0xc04161e, (q31_t)0xdaab122f, (q31_t)0xbfcc29f, (q31_t)0xdab547e8, + (q31_t)0xbf57121, (q31_t)0xdabf7f11, (q31_t)0xbee21a5, (q31_t)0xdac9b7a9, + (q31_t)0xbe6d42b, (q31_t)0xdad3f1b1, (q31_t)0xbdf88b3, (q31_t)0xdade2d28, + (q31_t)0xbd83f3d, (q31_t)0xdae86a0d, (q31_t)0xbd0f7ca, (q31_t)0xdaf2a860, + (q31_t)0xbc9b25a, (q31_t)0xdafce821, (q31_t)0xbc26eee, (q31_t)0xdb072950, + (q31_t)0xbbb2d85, (q31_t)0xdb116beb, (q31_t)0xbb3ee20, (q31_t)0xdb1baff2, + (q31_t)0xbacb0bf, (q31_t)0xdb25f566, (q31_t)0xba57563, (q31_t)0xdb303c46, + (q31_t)0xb9e3c0b, (q31_t)0xdb3a8491, (q31_t)0xb9704b9, (q31_t)0xdb44ce46, + (q31_t)0xb8fcf6b, (q31_t)0xdb4f1967, (q31_t)0xb889c23, (q31_t)0xdb5965f1, + (q31_t)0xb816ae1, (q31_t)0xdb63b3e5, (q31_t)0xb7a3ba5, (q31_t)0xdb6e0342, + (q31_t)0xb730e70, (q31_t)0xdb785409, (q31_t)0xb6be341, (q31_t)0xdb82a638, + (q31_t)0xb64ba19, (q31_t)0xdb8cf9cf, (q31_t)0xb5d92f8, (q31_t)0xdb974ece, + (q31_t)0xb566ddf, (q31_t)0xdba1a534, (q31_t)0xb4f4acd, (q31_t)0xdbabfd01, + (q31_t)0xb4829c4, (q31_t)0xdbb65634, (q31_t)0xb410ac3, (q31_t)0xdbc0b0ce, + (q31_t)0xb39edca, (q31_t)0xdbcb0cce, (q31_t)0xb32d2da, (q31_t)0xdbd56a32, + (q31_t)0xb2bb9f4, (q31_t)0xdbdfc8fc, (q31_t)0xb24a316, (q31_t)0xdbea292b, + (q31_t)0xb1d8e43, (q31_t)0xdbf48abd, (q31_t)0xb167b79, (q31_t)0xdbfeedb3, + (q31_t)0xb0f6aba, (q31_t)0xdc09520d, (q31_t)0xb085c05, (q31_t)0xdc13b7c9, + (q31_t)0xb014f5b, (q31_t)0xdc1e1ee9, (q31_t)0xafa44bc, (q31_t)0xdc28876a, + (q31_t)0xaf33c28, (q31_t)0xdc32f14d, (q31_t)0xaec35a0, (q31_t)0xdc3d5c91, + (q31_t)0xae53123, (q31_t)0xdc47c936, (q31_t)0xade2eb3, (q31_t)0xdc52373c, + (q31_t)0xad72e4f, (q31_t)0xdc5ca6a2, (q31_t)0xad02ff8, (q31_t)0xdc671768, + (q31_t)0xac933ae, (q31_t)0xdc71898d, (q31_t)0xac23971, (q31_t)0xdc7bfd11, + (q31_t)0xabb4141, (q31_t)0xdc8671f3, (q31_t)0xab44b1f, (q31_t)0xdc90e834, + (q31_t)0xaad570c, (q31_t)0xdc9b5fd2, (q31_t)0xaa66506, (q31_t)0xdca5d8cd, + (q31_t)0xa9f750f, (q31_t)0xdcb05326, (q31_t)0xa988727, (q31_t)0xdcbacedb, + (q31_t)0xa919b4e, (q31_t)0xdcc54bec, (q31_t)0xa8ab184, (q31_t)0xdccfca59, + (q31_t)0xa83c9ca, (q31_t)0xdcda4a21, (q31_t)0xa7ce420, (q31_t)0xdce4cb44, + (q31_t)0xa760086, (q31_t)0xdcef4dc2, (q31_t)0xa6f1efc, (q31_t)0xdcf9d199, + (q31_t)0xa683f83, (q31_t)0xdd0456ca, (q31_t)0xa61621b, (q31_t)0xdd0edd55, + (q31_t)0xa5a86c4, (q31_t)0xdd196538, (q31_t)0xa53ad7e, (q31_t)0xdd23ee74, + (q31_t)0xa4cd64b, (q31_t)0xdd2e7908, (q31_t)0xa460129, (q31_t)0xdd3904f4, + (q31_t)0xa3f2e19, (q31_t)0xdd439236, (q31_t)0xa385d1d, (q31_t)0xdd4e20d0, + (q31_t)0xa318e32, (q31_t)0xdd58b0c0, (q31_t)0xa2ac15b, (q31_t)0xdd634206, + (q31_t)0xa23f698, (q31_t)0xdd6dd4a2, (q31_t)0xa1d2de7, (q31_t)0xdd786892, + (q31_t)0xa16674b, (q31_t)0xdd82fdd8, (q31_t)0xa0fa2c3, (q31_t)0xdd8d9472, + (q31_t)0xa08e04f, (q31_t)0xdd982c60, (q31_t)0xa021fef, (q31_t)0xdda2c5a2, + (q31_t)0x9fb61a5, (q31_t)0xddad6036, (q31_t)0x9f4a570, (q31_t)0xddb7fc1e, + (q31_t)0x9edeb50, (q31_t)0xddc29958, (q31_t)0x9e73346, (q31_t)0xddcd37e4, + (q31_t)0x9e07d51, (q31_t)0xddd7d7c1, (q31_t)0x9d9c973, (q31_t)0xdde278ef, + (q31_t)0x9d317ab, (q31_t)0xdded1b6e, (q31_t)0x9cc67fa, (q31_t)0xddf7bf3e, + (q31_t)0x9c5ba60, (q31_t)0xde02645d, (q31_t)0x9bf0edd, (q31_t)0xde0d0acc, + (q31_t)0x9b86572, (q31_t)0xde17b28a, (q31_t)0x9b1be1e, (q31_t)0xde225b96, + (q31_t)0x9ab18e3, (q31_t)0xde2d05f1, (q31_t)0x9a475bf, (q31_t)0xde37b199, + (q31_t)0x99dd4b4, (q31_t)0xde425e8f, (q31_t)0x99735c2, (q31_t)0xde4d0cd2, + (q31_t)0x99098e9, (q31_t)0xde57bc62, (q31_t)0x989fe29, (q31_t)0xde626d3e, + (q31_t)0x9836582, (q31_t)0xde6d1f65, (q31_t)0x97ccef5, (q31_t)0xde77d2d8, + (q31_t)0x9763a83, (q31_t)0xde828796, (q31_t)0x96fa82a, (q31_t)0xde8d3d9e, + (q31_t)0x96917ec, (q31_t)0xde97f4f1, (q31_t)0x96289c9, (q31_t)0xdea2ad8d, + (q31_t)0x95bfdc1, (q31_t)0xdead6773, (q31_t)0x95573d4, (q31_t)0xdeb822a1, + (q31_t)0x94eec03, (q31_t)0xdec2df18, (q31_t)0x948664d, (q31_t)0xdecd9cd7, + (q31_t)0x941e2b4, (q31_t)0xded85bdd, (q31_t)0x93b6137, (q31_t)0xdee31c2b, + (q31_t)0x934e1d6, (q31_t)0xdeedddc0, (q31_t)0x92e6492, (q31_t)0xdef8a09b, + (q31_t)0x927e96b, (q31_t)0xdf0364bc, (q31_t)0x9217062, (q31_t)0xdf0e2a22, + (q31_t)0x91af976, (q31_t)0xdf18f0ce, (q31_t)0x91484a8, (q31_t)0xdf23b8be, + (q31_t)0x90e11f7, (q31_t)0xdf2e81f3, (q31_t)0x907a166, (q31_t)0xdf394c6b, + (q31_t)0x90132f2, (q31_t)0xdf441828, (q31_t)0x8fac69e, (q31_t)0xdf4ee527, + (q31_t)0x8f45c68, (q31_t)0xdf59b369, (q31_t)0x8edf452, (q31_t)0xdf6482ed, + (q31_t)0x8e78e5b, (q31_t)0xdf6f53b3, (q31_t)0x8e12a84, (q31_t)0xdf7a25ba, + (q31_t)0x8dac8cd, (q31_t)0xdf84f902, (q31_t)0x8d46936, (q31_t)0xdf8fcd8b, + (q31_t)0x8ce0bc0, (q31_t)0xdf9aa354, (q31_t)0x8c7b06b, (q31_t)0xdfa57a5d, + (q31_t)0x8c15736, (q31_t)0xdfb052a5, (q31_t)0x8bb0023, (q31_t)0xdfbb2c2c, + (q31_t)0x8b4ab32, (q31_t)0xdfc606f1, (q31_t)0x8ae5862, (q31_t)0xdfd0e2f5, + (q31_t)0x8a807b4, (q31_t)0xdfdbc036, (q31_t)0x8a1b928, (q31_t)0xdfe69eb4, + (q31_t)0x89b6cbf, (q31_t)0xdff17e70, (q31_t)0x8952278, (q31_t)0xdffc5f67, + (q31_t)0x88eda54, (q31_t)0xe007419b, (q31_t)0x8889454, (q31_t)0xe012250a, + (q31_t)0x8825077, (q31_t)0xe01d09b4, (q31_t)0x87c0ebd, (q31_t)0xe027ef99, + (q31_t)0x875cf28, (q31_t)0xe032d6b8, (q31_t)0x86f91b7, (q31_t)0xe03dbf11, + (q31_t)0x869566a, (q31_t)0xe048a8a4, (q31_t)0x8631d42, (q31_t)0xe053936f, + (q31_t)0x85ce63e, (q31_t)0xe05e7f74, (q31_t)0x856b160, (q31_t)0xe0696cb0, + (q31_t)0x8507ea7, (q31_t)0xe0745b24, (q31_t)0x84a4e14, (q31_t)0xe07f4acf, + (q31_t)0x8441fa6, (q31_t)0xe08a3bb2, (q31_t)0x83df35f, (q31_t)0xe0952dcb, + (q31_t)0x837c93e, (q31_t)0xe0a0211a, (q31_t)0x831a143, (q31_t)0xe0ab159e, + (q31_t)0x82b7b70, (q31_t)0xe0b60b58, (q31_t)0x82557c3, (q31_t)0xe0c10247, + (q31_t)0x81f363d, (q31_t)0xe0cbfa6a, (q31_t)0x81916df, (q31_t)0xe0d6f3c1, + (q31_t)0x812f9a9, (q31_t)0xe0e1ee4b, (q31_t)0x80cde9b, (q31_t)0xe0ecea09, + (q31_t)0x806c5b5, (q31_t)0xe0f7e6f9, (q31_t)0x800aef7, (q31_t)0xe102e51c, + (q31_t)0x7fa9a62, (q31_t)0xe10de470, (q31_t)0x7f487f6, (q31_t)0xe118e4f6, + (q31_t)0x7ee77b3, (q31_t)0xe123e6ad, (q31_t)0x7e8699a, (q31_t)0xe12ee995, + (q31_t)0x7e25daa, (q31_t)0xe139edac, (q31_t)0x7dc53e3, (q31_t)0xe144f2f3, + (q31_t)0x7d64c47, (q31_t)0xe14ff96a, (q31_t)0x7d046d6, (q31_t)0xe15b0110, + (q31_t)0x7ca438f, (q31_t)0xe16609e3, (q31_t)0x7c44272, (q31_t)0xe17113e5, + (q31_t)0x7be4381, (q31_t)0xe17c1f15, (q31_t)0x7b846ba, (q31_t)0xe1872b72, + (q31_t)0x7b24c20, (q31_t)0xe19238fb, (q31_t)0x7ac53b1, (q31_t)0xe19d47b1, + (q31_t)0x7a65d6e, (q31_t)0xe1a85793, (q31_t)0x7a06957, (q31_t)0xe1b368a0, + (q31_t)0x79a776c, (q31_t)0xe1be7ad8, (q31_t)0x79487ae, (q31_t)0xe1c98e3b, + (q31_t)0x78e9a1d, (q31_t)0xe1d4a2c8, (q31_t)0x788aeb9, (q31_t)0xe1dfb87f, + (q31_t)0x782c582, (q31_t)0xe1eacf5f, (q31_t)0x77cde79, (q31_t)0xe1f5e768, + (q31_t)0x776f99d, (q31_t)0xe2010099, (q31_t)0x77116f0, (q31_t)0xe20c1af3, + (q31_t)0x76b3671, (q31_t)0xe2173674, (q31_t)0x7655820, (q31_t)0xe222531c, + (q31_t)0x75f7bfe, (q31_t)0xe22d70eb, (q31_t)0x759a20a, (q31_t)0xe2388fe1, + (q31_t)0x753ca46, (q31_t)0xe243affc, (q31_t)0x74df4b1, (q31_t)0xe24ed13d, + (q31_t)0x748214c, (q31_t)0xe259f3a3, (q31_t)0x7425016, (q31_t)0xe265172e, + (q31_t)0x73c8111, (q31_t)0xe2703bdc, (q31_t)0x736b43c, (q31_t)0xe27b61af, + (q31_t)0x730e997, (q31_t)0xe28688a4, (q31_t)0x72b2123, (q31_t)0xe291b0bd, + (q31_t)0x7255ae0, (q31_t)0xe29cd9f8, (q31_t)0x71f96ce, (q31_t)0xe2a80456, + (q31_t)0x719d4ed, (q31_t)0xe2b32fd4, (q31_t)0x714153e, (q31_t)0xe2be5c74, + (q31_t)0x70e57c0, (q31_t)0xe2c98a35, (q31_t)0x7089c75, (q31_t)0xe2d4b916, + (q31_t)0x702e35c, (q31_t)0xe2dfe917, (q31_t)0x6fd2c75, (q31_t)0xe2eb1a37, + (q31_t)0x6f777c1, (q31_t)0xe2f64c77, (q31_t)0x6f1c540, (q31_t)0xe3017fd5, + (q31_t)0x6ec14f2, (q31_t)0xe30cb451, (q31_t)0x6e666d7, (q31_t)0xe317e9eb, + (q31_t)0x6e0baf0, (q31_t)0xe32320a2, (q31_t)0x6db113d, (q31_t)0xe32e5876, + (q31_t)0x6d569be, (q31_t)0xe3399167, (q31_t)0x6cfc472, (q31_t)0xe344cb73, + (q31_t)0x6ca215c, (q31_t)0xe350069b, (q31_t)0x6c4807a, (q31_t)0xe35b42df, + (q31_t)0x6bee1cd, (q31_t)0xe366803c, (q31_t)0x6b94554, (q31_t)0xe371beb5, + (q31_t)0x6b3ab12, (q31_t)0xe37cfe47, (q31_t)0x6ae1304, (q31_t)0xe3883ef2, + (q31_t)0x6a87d2d, (q31_t)0xe39380b6, (q31_t)0x6a2e98b, (q31_t)0xe39ec393, + (q31_t)0x69d5820, (q31_t)0xe3aa0788, (q31_t)0x697c8eb, (q31_t)0xe3b54c95, + (q31_t)0x6923bec, (q31_t)0xe3c092b9, (q31_t)0x68cb124, (q31_t)0xe3cbd9f4, + (q31_t)0x6872894, (q31_t)0xe3d72245, (q31_t)0x681a23a, (q31_t)0xe3e26bac, + (q31_t)0x67c1e18, (q31_t)0xe3edb628, (q31_t)0x6769c2e, (q31_t)0xe3f901ba, + (q31_t)0x6711c7b, (q31_t)0xe4044e60, (q31_t)0x66b9f01, (q31_t)0xe40f9c1a, + (q31_t)0x66623be, (q31_t)0xe41aeae8, (q31_t)0x660aab5, (q31_t)0xe4263ac9, + (q31_t)0x65b33e4, (q31_t)0xe4318bbe, (q31_t)0x655bf4c, (q31_t)0xe43cddc4, + (q31_t)0x6504ced, (q31_t)0xe44830dd, (q31_t)0x64adcc7, (q31_t)0xe4538507, + (q31_t)0x6456edb, (q31_t)0xe45eda43, (q31_t)0x6400329, (q31_t)0xe46a308f, + (q31_t)0x63a99b1, (q31_t)0xe47587eb, (q31_t)0x6353273, (q31_t)0xe480e057, + (q31_t)0x62fcd6f, (q31_t)0xe48c39d3, (q31_t)0x62a6aa6, (q31_t)0xe497945d, + (q31_t)0x6250a18, (q31_t)0xe4a2eff6, (q31_t)0x61fabc4, (q31_t)0xe4ae4c9d, + (q31_t)0x61a4fac, (q31_t)0xe4b9aa52, (q31_t)0x614f5cf, (q31_t)0xe4c50914, + (q31_t)0x60f9e2e, (q31_t)0xe4d068e2, (q31_t)0x60a48c9, (q31_t)0xe4dbc9bd, + (q31_t)0x604f5a0, (q31_t)0xe4e72ba4, (q31_t)0x5ffa4b3, (q31_t)0xe4f28e96, + (q31_t)0x5fa5603, (q31_t)0xe4fdf294, (q31_t)0x5f5098f, (q31_t)0xe509579b, + (q31_t)0x5efbf58, (q31_t)0xe514bdad, (q31_t)0x5ea775e, (q31_t)0xe52024c9, + (q31_t)0x5e531a1, (q31_t)0xe52b8cee, (q31_t)0x5dfee22, (q31_t)0xe536f61b, + (q31_t)0x5daace1, (q31_t)0xe5426051, (q31_t)0x5d56ddd, (q31_t)0xe54dcb8f, + (q31_t)0x5d03118, (q31_t)0xe55937d5, (q31_t)0x5caf690, (q31_t)0xe564a521, + (q31_t)0x5c5be47, (q31_t)0xe5701374, (q31_t)0x5c0883d, (q31_t)0xe57b82cd, + (q31_t)0x5bb5472, (q31_t)0xe586f32c, (q31_t)0x5b622e6, (q31_t)0xe5926490, + (q31_t)0x5b0f399, (q31_t)0xe59dd6f9, (q31_t)0x5abc68c, (q31_t)0xe5a94a67, + (q31_t)0x5a69bbe, (q31_t)0xe5b4bed8, (q31_t)0x5a17330, (q31_t)0xe5c0344d, + (q31_t)0x59c4ce3, (q31_t)0xe5cbaac5, (q31_t)0x59728d5, (q31_t)0xe5d72240, + (q31_t)0x5920708, (q31_t)0xe5e29abc, (q31_t)0x58ce77c, (q31_t)0xe5ee143b, + (q31_t)0x587ca31, (q31_t)0xe5f98ebb, (q31_t)0x582af26, (q31_t)0xe6050a3b, + (q31_t)0x57d965d, (q31_t)0xe61086bc, (q31_t)0x5787fd6, (q31_t)0xe61c043d, + (q31_t)0x5736b90, (q31_t)0xe62782be, (q31_t)0x56e598c, (q31_t)0xe633023e, + (q31_t)0x56949ca, (q31_t)0xe63e82bc, (q31_t)0x5643c4a, (q31_t)0xe64a0438, + (q31_t)0x55f310d, (q31_t)0xe65586b3, (q31_t)0x55a2812, (q31_t)0xe6610a2a, + (q31_t)0x555215a, (q31_t)0xe66c8e9f, (q31_t)0x5501ce5, (q31_t)0xe6781410, + (q31_t)0x54b1ab4, (q31_t)0xe6839a7c, (q31_t)0x5461ac6, (q31_t)0xe68f21e5, + (q31_t)0x5411d1b, (q31_t)0xe69aaa48, (q31_t)0x53c21b4, (q31_t)0xe6a633a6, + (q31_t)0x5372891, (q31_t)0xe6b1bdff, (q31_t)0x53231b3, (q31_t)0xe6bd4951, + (q31_t)0x52d3d18, (q31_t)0xe6c8d59c, (q31_t)0x5284ac3, (q31_t)0xe6d462e1, + (q31_t)0x5235ab2, (q31_t)0xe6dff11d, (q31_t)0x51e6ce6, (q31_t)0xe6eb8052, + (q31_t)0x519815f, (q31_t)0xe6f7107e, (q31_t)0x514981d, (q31_t)0xe702a1a1, + (q31_t)0x50fb121, (q31_t)0xe70e33bb, (q31_t)0x50acc6b, (q31_t)0xe719c6cb, + (q31_t)0x505e9fb, (q31_t)0xe7255ad1, (q31_t)0x50109d0, (q31_t)0xe730efcc, + (q31_t)0x4fc2bec, (q31_t)0xe73c85bc, (q31_t)0x4f7504e, (q31_t)0xe7481ca1, + (q31_t)0x4f276f7, (q31_t)0xe753b479, (q31_t)0x4ed9fe7, (q31_t)0xe75f4d45, + (q31_t)0x4e8cb1e, (q31_t)0xe76ae704, (q31_t)0x4e3f89c, (q31_t)0xe77681b6, + (q31_t)0x4df2862, (q31_t)0xe7821d59, (q31_t)0x4da5a6f, (q31_t)0xe78db9ef, + (q31_t)0x4d58ec3, (q31_t)0xe7995776, (q31_t)0x4d0c560, (q31_t)0xe7a4f5ed, + (q31_t)0x4cbfe45, (q31_t)0xe7b09555, (q31_t)0x4c73972, (q31_t)0xe7bc35ad, + (q31_t)0x4c276e8, (q31_t)0xe7c7d6f4, (q31_t)0x4bdb6a6, (q31_t)0xe7d3792b, + (q31_t)0x4b8f8ad, (q31_t)0xe7df1c50, (q31_t)0x4b43cfd, (q31_t)0xe7eac063, + (q31_t)0x4af8397, (q31_t)0xe7f66564, (q31_t)0x4aacc7a, (q31_t)0xe8020b52, + (q31_t)0x4a617a6, (q31_t)0xe80db22d, (q31_t)0x4a1651c, (q31_t)0xe81959f4, + (q31_t)0x49cb4dd, (q31_t)0xe82502a7, (q31_t)0x49806e7, (q31_t)0xe830ac45, + (q31_t)0x4935b3c, (q31_t)0xe83c56cf, (q31_t)0x48eb1db, (q31_t)0xe8480243, + (q31_t)0x48a0ac4, (q31_t)0xe853aea1, (q31_t)0x48565f9, (q31_t)0xe85f5be9, + (q31_t)0x480c379, (q31_t)0xe86b0a1a, (q31_t)0x47c2344, (q31_t)0xe876b934, + (q31_t)0x477855a, (q31_t)0xe8826936, (q31_t)0x472e9bc, (q31_t)0xe88e1a20, + (q31_t)0x46e5069, (q31_t)0xe899cbf1, (q31_t)0x469b963, (q31_t)0xe8a57ea9, + (q31_t)0x46524a9, (q31_t)0xe8b13248, (q31_t)0x460923b, (q31_t)0xe8bce6cd, + (q31_t)0x45c0219, (q31_t)0xe8c89c37, (q31_t)0x4577444, (q31_t)0xe8d45286, + (q31_t)0x452e8bc, (q31_t)0xe8e009ba, (q31_t)0x44e5f80, (q31_t)0xe8ebc1d3, + (q31_t)0x449d892, (q31_t)0xe8f77acf, (q31_t)0x44553f2, (q31_t)0xe90334af, + (q31_t)0x440d19e, (q31_t)0xe90eef71, (q31_t)0x43c5199, (q31_t)0xe91aab16, + (q31_t)0x437d3e1, (q31_t)0xe926679c, (q31_t)0x4335877, (q31_t)0xe9322505, + (q31_t)0x42edf5c, (q31_t)0xe93de34e, (q31_t)0x42a688f, (q31_t)0xe949a278, + (q31_t)0x425f410, (q31_t)0xe9556282, (q31_t)0x42181e0, (q31_t)0xe961236c, + (q31_t)0x41d11ff, (q31_t)0xe96ce535, (q31_t)0x418a46d, (q31_t)0xe978a7dd, + (q31_t)0x414392b, (q31_t)0xe9846b63, (q31_t)0x40fd037, (q31_t)0xe9902fc7, + (q31_t)0x40b6994, (q31_t)0xe99bf509, (q31_t)0x4070540, (q31_t)0xe9a7bb28, + (q31_t)0x402a33c, (q31_t)0xe9b38223, (q31_t)0x3fe4388, (q31_t)0xe9bf49fa, + (q31_t)0x3f9e624, (q31_t)0xe9cb12ad, (q31_t)0x3f58b10, (q31_t)0xe9d6dc3b, + (q31_t)0x3f1324e, (q31_t)0xe9e2a6a3, (q31_t)0x3ecdbdc, (q31_t)0xe9ee71e6, + (q31_t)0x3e887bb, (q31_t)0xe9fa3e03, (q31_t)0x3e435ea, (q31_t)0xea060af9, + (q31_t)0x3dfe66c, (q31_t)0xea11d8c8, (q31_t)0x3db993e, (q31_t)0xea1da770, + (q31_t)0x3d74e62, (q31_t)0xea2976ef, (q31_t)0x3d305d8, (q31_t)0xea354746, + (q31_t)0x3cebfa0, (q31_t)0xea411874, (q31_t)0x3ca7bba, (q31_t)0xea4cea79, + (q31_t)0x3c63a26, (q31_t)0xea58bd54, (q31_t)0x3c1fae5, (q31_t)0xea649105, + (q31_t)0x3bdbdf6, (q31_t)0xea70658a, (q31_t)0x3b9835a, (q31_t)0xea7c3ae5, + (q31_t)0x3b54b11, (q31_t)0xea881114, (q31_t)0x3b1151b, (q31_t)0xea93e817, + (q31_t)0x3ace178, (q31_t)0xea9fbfed, (q31_t)0x3a8b028, (q31_t)0xeaab9896, + (q31_t)0x3a4812c, (q31_t)0xeab77212, (q31_t)0x3a05484, (q31_t)0xeac34c60, + (q31_t)0x39c2a2f, (q31_t)0xeacf277f, (q31_t)0x398022f, (q31_t)0xeadb0370, + (q31_t)0x393dc82, (q31_t)0xeae6e031, (q31_t)0x38fb92a, (q31_t)0xeaf2bdc3, + (q31_t)0x38b9827, (q31_t)0xeafe9c24, (q31_t)0x3877978, (q31_t)0xeb0a7b54, + (q31_t)0x3835d1e, (q31_t)0xeb165b54, (q31_t)0x37f4319, (q31_t)0xeb223c22, + (q31_t)0x37b2b6a, (q31_t)0xeb2e1dbe, (q31_t)0x377160f, (q31_t)0xeb3a0027, + (q31_t)0x373030a, (q31_t)0xeb45e35d, (q31_t)0x36ef25b, (q31_t)0xeb51c760, + (q31_t)0x36ae401, (q31_t)0xeb5dac2f, (q31_t)0x366d7fd, (q31_t)0xeb6991ca, + (q31_t)0x362ce50, (q31_t)0xeb75782f, (q31_t)0x35ec6f8, (q31_t)0xeb815f60, + (q31_t)0x35ac1f7, (q31_t)0xeb8d475b, (q31_t)0x356bf4d, (q31_t)0xeb99301f, + (q31_t)0x352bef9, (q31_t)0xeba519ad, (q31_t)0x34ec0fc, (q31_t)0xebb10404, + (q31_t)0x34ac556, (q31_t)0xebbcef23, (q31_t)0x346cc07, (q31_t)0xebc8db0b, + (q31_t)0x342d510, (q31_t)0xebd4c7ba, (q31_t)0x33ee070, (q31_t)0xebe0b52f, + (q31_t)0x33aee27, (q31_t)0xebeca36c, (q31_t)0x336fe37, (q31_t)0xebf8926f, + (q31_t)0x333109e, (q31_t)0xec048237, (q31_t)0x32f255e, (q31_t)0xec1072c4, + (q31_t)0x32b3c75, (q31_t)0xec1c6417, (q31_t)0x32755e5, (q31_t)0xec28562d, + (q31_t)0x32371ae, (q31_t)0xec344908, (q31_t)0x31f8fcf, (q31_t)0xec403ca5, + (q31_t)0x31bb049, (q31_t)0xec4c3106, (q31_t)0x317d31c, (q31_t)0xec582629, + (q31_t)0x313f848, (q31_t)0xec641c0e, (q31_t)0x3101fce, (q31_t)0xec7012b5, + (q31_t)0x30c49ad, (q31_t)0xec7c0a1d, (q31_t)0x30875e5, (q31_t)0xec880245, + (q31_t)0x304a477, (q31_t)0xec93fb2e, (q31_t)0x300d563, (q31_t)0xec9ff4d6, + (q31_t)0x2fd08a9, (q31_t)0xecabef3d, (q31_t)0x2f93e4a, (q31_t)0xecb7ea63, + (q31_t)0x2f57644, (q31_t)0xecc3e648, (q31_t)0x2f1b099, (q31_t)0xeccfe2ea, + (q31_t)0x2eded49, (q31_t)0xecdbe04a, (q31_t)0x2ea2c53, (q31_t)0xece7de66, + (q31_t)0x2e66db8, (q31_t)0xecf3dd3f, (q31_t)0x2e2b178, (q31_t)0xecffdcd4, + (q31_t)0x2def794, (q31_t)0xed0bdd25, (q31_t)0x2db400a, (q31_t)0xed17de31, + (q31_t)0x2d78add, (q31_t)0xed23dff7, (q31_t)0x2d3d80a, (q31_t)0xed2fe277, + (q31_t)0x2d02794, (q31_t)0xed3be5b1, (q31_t)0x2cc7979, (q31_t)0xed47e9a5, + (q31_t)0x2c8cdbb, (q31_t)0xed53ee51, (q31_t)0x2c52459, (q31_t)0xed5ff3b5, + (q31_t)0x2c17d52, (q31_t)0xed6bf9d1, (q31_t)0x2bdd8a9, (q31_t)0xed7800a5, + (q31_t)0x2ba365c, (q31_t)0xed84082f, (q31_t)0x2b6966c, (q31_t)0xed901070, + (q31_t)0x2b2f8d8, (q31_t)0xed9c1967, (q31_t)0x2af5da2, (q31_t)0xeda82313, + (q31_t)0x2abc4c9, (q31_t)0xedb42d74, (q31_t)0x2a82e4d, (q31_t)0xedc0388a, + (q31_t)0x2a49a2e, (q31_t)0xedcc4454, (q31_t)0x2a1086d, (q31_t)0xedd850d2, + (q31_t)0x29d790a, (q31_t)0xede45e03, (q31_t)0x299ec05, (q31_t)0xedf06be6, + (q31_t)0x296615d, (q31_t)0xedfc7a7c, (q31_t)0x292d914, (q31_t)0xee0889c4, + (q31_t)0x28f5329, (q31_t)0xee1499bd, (q31_t)0x28bcf9c, (q31_t)0xee20aa67, + (q31_t)0x2884e6e, (q31_t)0xee2cbbc1, (q31_t)0x284cf9f, (q31_t)0xee38cdcb, + (q31_t)0x281532e, (q31_t)0xee44e084, (q31_t)0x27dd91c, (q31_t)0xee50f3ed, + (q31_t)0x27a616a, (q31_t)0xee5d0804, (q31_t)0x276ec16, (q31_t)0xee691cc9, + (q31_t)0x2737922, (q31_t)0xee75323c, (q31_t)0x270088e, (q31_t)0xee81485c, + (q31_t)0x26c9a58, (q31_t)0xee8d5f29, (q31_t)0x2692e83, (q31_t)0xee9976a1, + (q31_t)0x265c50e, (q31_t)0xeea58ec6, (q31_t)0x2625df8, (q31_t)0xeeb1a796, + (q31_t)0x25ef943, (q31_t)0xeebdc110, (q31_t)0x25b96ee, (q31_t)0xeec9db35, + (q31_t)0x25836f9, (q31_t)0xeed5f604, (q31_t)0x254d965, (q31_t)0xeee2117c, + (q31_t)0x2517e31, (q31_t)0xeeee2d9d, (q31_t)0x24e255e, (q31_t)0xeefa4a67, + (q31_t)0x24aceed, (q31_t)0xef0667d9, (q31_t)0x2477adc, (q31_t)0xef1285f2, + (q31_t)0x244292c, (q31_t)0xef1ea4b2, (q31_t)0x240d9de, (q31_t)0xef2ac419, + (q31_t)0x23d8cf1, (q31_t)0xef36e426, (q31_t)0x23a4265, (q31_t)0xef4304d8, + (q31_t)0x236fa3b, (q31_t)0xef4f2630, (q31_t)0x233b473, (q31_t)0xef5b482d, + (q31_t)0x230710d, (q31_t)0xef676ace, (q31_t)0x22d3009, (q31_t)0xef738e12, + (q31_t)0x229f167, (q31_t)0xef7fb1fa, (q31_t)0x226b528, (q31_t)0xef8bd685, + (q31_t)0x2237b4b, (q31_t)0xef97fbb2, (q31_t)0x22043d0, (q31_t)0xefa42181, + (q31_t)0x21d0eb8, (q31_t)0xefb047f2, (q31_t)0x219dc03, (q31_t)0xefbc6f03, + (q31_t)0x216abb1, (q31_t)0xefc896b5, (q31_t)0x2137dc2, (q31_t)0xefd4bf08, + (q31_t)0x2105236, (q31_t)0xefe0e7f9, (q31_t)0x20d290d, (q31_t)0xefed118a, + (q31_t)0x20a0248, (q31_t)0xeff93bba, (q31_t)0x206dde6, (q31_t)0xf0056687, + (q31_t)0x203bbe8, (q31_t)0xf01191f3, (q31_t)0x2009c4e, (q31_t)0xf01dbdfb, + (q31_t)0x1fd7f17, (q31_t)0xf029eaa1, (q31_t)0x1fa6445, (q31_t)0xf03617e2, + (q31_t)0x1f74bd6, (q31_t)0xf04245c0, (q31_t)0x1f435cc, (q31_t)0xf04e7438, + (q31_t)0x1f12227, (q31_t)0xf05aa34c, (q31_t)0x1ee10e5, (q31_t)0xf066d2fa, + (q31_t)0x1eb0209, (q31_t)0xf0730342, (q31_t)0x1e7f591, (q31_t)0xf07f3424, + (q31_t)0x1e4eb7e, (q31_t)0xf08b659f, (q31_t)0x1e1e3d0, (q31_t)0xf09797b2, + (q31_t)0x1dede87, (q31_t)0xf0a3ca5d, (q31_t)0x1dbdba3, (q31_t)0xf0affda0, + (q31_t)0x1d8db25, (q31_t)0xf0bc317a, (q31_t)0x1d5dd0c, (q31_t)0xf0c865ea, + (q31_t)0x1d2e158, (q31_t)0xf0d49af1, (q31_t)0x1cfe80a, (q31_t)0xf0e0d08d, + (q31_t)0x1ccf122, (q31_t)0xf0ed06bf, (q31_t)0x1c9fca0, (q31_t)0xf0f93d86, + (q31_t)0x1c70a84, (q31_t)0xf10574e0, (q31_t)0x1c41ace, (q31_t)0xf111accf, + (q31_t)0x1c12d7e, (q31_t)0xf11de551, (q31_t)0x1be4294, (q31_t)0xf12a1e66, + (q31_t)0x1bb5a11, (q31_t)0xf136580d, (q31_t)0x1b873f5, (q31_t)0xf1429247, + (q31_t)0x1b5903f, (q31_t)0xf14ecd11, (q31_t)0x1b2aef0, (q31_t)0xf15b086d, + (q31_t)0x1afd007, (q31_t)0xf1674459, (q31_t)0x1acf386, (q31_t)0xf17380d6, + (q31_t)0x1aa196c, (q31_t)0xf17fbde2, (q31_t)0x1a741b9, (q31_t)0xf18bfb7d, + (q31_t)0x1a46c6e, (q31_t)0xf19839a6, (q31_t)0x1a1998a, (q31_t)0xf1a4785e, + (q31_t)0x19ec90d, (q31_t)0xf1b0b7a4, (q31_t)0x19bfaf9, (q31_t)0xf1bcf777, + (q31_t)0x1992f4c, (q31_t)0xf1c937d6, (q31_t)0x1966606, (q31_t)0xf1d578c2, + (q31_t)0x1939f29, (q31_t)0xf1e1ba3a, (q31_t)0x190dab4, (q31_t)0xf1edfc3d, + (q31_t)0x18e18a7, (q31_t)0xf1fa3ecb, (q31_t)0x18b5903, (q31_t)0xf20681e3, + (q31_t)0x1889bc6, (q31_t)0xf212c585, (q31_t)0x185e0f3, (q31_t)0xf21f09b1, + (q31_t)0x1832888, (q31_t)0xf22b4e66, (q31_t)0x1807285, (q31_t)0xf23793a3, + (q31_t)0x17dbeec, (q31_t)0xf243d968, (q31_t)0x17b0dbb, (q31_t)0xf2501fb5, + (q31_t)0x1785ef4, (q31_t)0xf25c6688, (q31_t)0x175b296, (q31_t)0xf268ade3, + (q31_t)0x17308a1, (q31_t)0xf274f5c3, (q31_t)0x1706115, (q31_t)0xf2813e2a, + (q31_t)0x16dbbf3, (q31_t)0xf28d8715, (q31_t)0x16b193a, (q31_t)0xf299d085, + (q31_t)0x16878eb, (q31_t)0xf2a61a7a, (q31_t)0x165db05, (q31_t)0xf2b264f2, + (q31_t)0x1633f8a, (q31_t)0xf2beafed, (q31_t)0x160a678, (q31_t)0xf2cafb6b, + (q31_t)0x15e0fd1, (q31_t)0xf2d7476c, (q31_t)0x15b7b94, (q31_t)0xf2e393ef, + (q31_t)0x158e9c1, (q31_t)0xf2efe0f2, (q31_t)0x1565a58, (q31_t)0xf2fc2e77, + (q31_t)0x153cd5a, (q31_t)0xf3087c7d, (q31_t)0x15142c6, (q31_t)0xf314cb02, + (q31_t)0x14eba9d, (q31_t)0xf3211a07, (q31_t)0x14c34df, (q31_t)0xf32d698a, + (q31_t)0x149b18b, (q31_t)0xf339b98d, (q31_t)0x14730a3, (q31_t)0xf3460a0d, + (q31_t)0x144b225, (q31_t)0xf3525b0b, (q31_t)0x1423613, (q31_t)0xf35eac86, + (q31_t)0x13fbc6c, (q31_t)0xf36afe7e, (q31_t)0x13d4530, (q31_t)0xf37750f2, + (q31_t)0x13ad060, (q31_t)0xf383a3e2, (q31_t)0x1385dfb, (q31_t)0xf38ff74d, + (q31_t)0x135ee02, (q31_t)0xf39c4b32, (q31_t)0x1338075, (q31_t)0xf3a89f92, + (q31_t)0x1311553, (q31_t)0xf3b4f46c, (q31_t)0x12eac9d, (q31_t)0xf3c149bf, + (q31_t)0x12c4653, (q31_t)0xf3cd9f8b, (q31_t)0x129e276, (q31_t)0xf3d9f5cf, + (q31_t)0x1278104, (q31_t)0xf3e64c8c, (q31_t)0x12521ff, (q31_t)0xf3f2a3bf, + (q31_t)0x122c566, (q31_t)0xf3fefb6a, (q31_t)0x1206b39, (q31_t)0xf40b538b, + (q31_t)0x11e1379, (q31_t)0xf417ac22, (q31_t)0x11bbe26, (q31_t)0xf424052f, + (q31_t)0x1196b3f, (q31_t)0xf4305eb0, (q31_t)0x1171ac6, (q31_t)0xf43cb8a7, + (q31_t)0x114ccb9, (q31_t)0xf4491311, (q31_t)0x1128119, (q31_t)0xf4556def, + (q31_t)0x11037e6, (q31_t)0xf461c940, (q31_t)0x10df120, (q31_t)0xf46e2504, + (q31_t)0x10bacc8, (q31_t)0xf47a8139, (q31_t)0x1096add, (q31_t)0xf486dde1, + (q31_t)0x1072b5f, (q31_t)0xf4933afa, (q31_t)0x104ee4f, (q31_t)0xf49f9884, + (q31_t)0x102b3ac, (q31_t)0xf4abf67e, (q31_t)0x1007b77, (q31_t)0xf4b854e7, + (q31_t)0xfe45b0, (q31_t)0xf4c4b3c0, (q31_t)0xfc1257, (q31_t)0xf4d11308, + (q31_t)0xf9e16b, (q31_t)0xf4dd72be, (q31_t)0xf7b2ee, (q31_t)0xf4e9d2e3, + (q31_t)0xf586df, (q31_t)0xf4f63374, (q31_t)0xf35d3e, (q31_t)0xf5029473, + (q31_t)0xf1360b, (q31_t)0xf50ef5de, (q31_t)0xef1147, (q31_t)0xf51b57b5, + (q31_t)0xeceef1, (q31_t)0xf527b9f7, (q31_t)0xeacf09, (q31_t)0xf5341ca5, + (q31_t)0xe8b190, (q31_t)0xf5407fbd, (q31_t)0xe69686, (q31_t)0xf54ce33f, + (q31_t)0xe47deb, (q31_t)0xf559472b, (q31_t)0xe267be, (q31_t)0xf565ab80, + (q31_t)0xe05401, (q31_t)0xf572103d, (q31_t)0xde42b2, (q31_t)0xf57e7563, + (q31_t)0xdc33d2, (q31_t)0xf58adaf0, (q31_t)0xda2762, (q31_t)0xf59740e5, + (q31_t)0xd81d61, (q31_t)0xf5a3a740, (q31_t)0xd615cf, (q31_t)0xf5b00e02, + (q31_t)0xd410ad, (q31_t)0xf5bc7529, (q31_t)0xd20dfa, (q31_t)0xf5c8dcb6, + (q31_t)0xd00db6, (q31_t)0xf5d544a7, (q31_t)0xce0fe3, (q31_t)0xf5e1acfd, + (q31_t)0xcc147f, (q31_t)0xf5ee15b7, (q31_t)0xca1b8a, (q31_t)0xf5fa7ed4, + (q31_t)0xc82506, (q31_t)0xf606e854, (q31_t)0xc630f2, (q31_t)0xf6135237, + (q31_t)0xc43f4d, (q31_t)0xf61fbc7b, (q31_t)0xc25019, (q31_t)0xf62c2721, + (q31_t)0xc06355, (q31_t)0xf6389228, (q31_t)0xbe7901, (q31_t)0xf644fd8f, + (q31_t)0xbc911d, (q31_t)0xf6516956, (q31_t)0xbaabaa, (q31_t)0xf65dd57d, + (q31_t)0xb8c8a7, (q31_t)0xf66a4203, (q31_t)0xb6e815, (q31_t)0xf676aee8, + (q31_t)0xb509f3, (q31_t)0xf6831c2b, (q31_t)0xb32e42, (q31_t)0xf68f89cb, + (q31_t)0xb15502, (q31_t)0xf69bf7c9, (q31_t)0xaf7e33, (q31_t)0xf6a86623, + (q31_t)0xada9d4, (q31_t)0xf6b4d4d9, (q31_t)0xabd7e6, (q31_t)0xf6c143ec, + (q31_t)0xaa086a, (q31_t)0xf6cdb359, (q31_t)0xa83b5e, (q31_t)0xf6da2321, + (q31_t)0xa670c4, (q31_t)0xf6e69344, (q31_t)0xa4a89b, (q31_t)0xf6f303c0, + (q31_t)0xa2e2e3, (q31_t)0xf6ff7496, (q31_t)0xa11f9d, (q31_t)0xf70be5c4, + (q31_t)0x9f5ec8, (q31_t)0xf718574b, (q31_t)0x9da065, (q31_t)0xf724c92a, + (q31_t)0x9be473, (q31_t)0xf7313b60, (q31_t)0x9a2af3, (q31_t)0xf73daded, + (q31_t)0x9873e4, (q31_t)0xf74a20d0, (q31_t)0x96bf48, (q31_t)0xf756940a, + (q31_t)0x950d1d, (q31_t)0xf7630799, (q31_t)0x935d64, (q31_t)0xf76f7b7d, + (q31_t)0x91b01d, (q31_t)0xf77befb5, (q31_t)0x900548, (q31_t)0xf7886442, + (q31_t)0x8e5ce5, (q31_t)0xf794d922, (q31_t)0x8cb6f5, (q31_t)0xf7a14e55, + (q31_t)0x8b1376, (q31_t)0xf7adc3db, (q31_t)0x89726a, (q31_t)0xf7ba39b3, + (q31_t)0x87d3d0, (q31_t)0xf7c6afdc, (q31_t)0x8637a9, (q31_t)0xf7d32657, + (q31_t)0x849df4, (q31_t)0xf7df9d22, (q31_t)0x8306b2, (q31_t)0xf7ec143e, + (q31_t)0x8171e2, (q31_t)0xf7f88ba9, (q31_t)0x7fdf85, (q31_t)0xf8050364, + (q31_t)0x7e4f9b, (q31_t)0xf8117b6d, (q31_t)0x7cc223, (q31_t)0xf81df3c5, + (q31_t)0x7b371e, (q31_t)0xf82a6c6a, (q31_t)0x79ae8c, (q31_t)0xf836e55d, + (q31_t)0x78286e, (q31_t)0xf8435e9d, (q31_t)0x76a4c2, (q31_t)0xf84fd829, + (q31_t)0x752389, (q31_t)0xf85c5201, (q31_t)0x73a4c3, (q31_t)0xf868cc24, + (q31_t)0x722871, (q31_t)0xf8754692, (q31_t)0x70ae92, (q31_t)0xf881c14b, + (q31_t)0x6f3726, (q31_t)0xf88e3c4d, (q31_t)0x6dc22e, (q31_t)0xf89ab799, + (q31_t)0x6c4fa8, (q31_t)0xf8a7332e, (q31_t)0x6adf97, (q31_t)0xf8b3af0c, + (q31_t)0x6971f9, (q31_t)0xf8c02b31, (q31_t)0x6806ce, (q31_t)0xf8cca79e, + (q31_t)0x669e18, (q31_t)0xf8d92452, (q31_t)0x6537d4, (q31_t)0xf8e5a14d, + (q31_t)0x63d405, (q31_t)0xf8f21e8e, (q31_t)0x6272aa, (q31_t)0xf8fe9c15, + (q31_t)0x6113c2, (q31_t)0xf90b19e0, (q31_t)0x5fb74e, (q31_t)0xf91797f0, + (q31_t)0x5e5d4e, (q31_t)0xf9241645, (q31_t)0x5d05c3, (q31_t)0xf93094dd, + (q31_t)0x5bb0ab, (q31_t)0xf93d13b8, (q31_t)0x5a5e07, (q31_t)0xf94992d7, + (q31_t)0x590dd8, (q31_t)0xf9561237, (q31_t)0x57c01d, (q31_t)0xf96291d9, + (q31_t)0x5674d6, (q31_t)0xf96f11bc, (q31_t)0x552c03, (q31_t)0xf97b91e1, + (q31_t)0x53e5a5, (q31_t)0xf9881245, (q31_t)0x52a1bb, (q31_t)0xf99492ea, + (q31_t)0x516045, (q31_t)0xf9a113cd, (q31_t)0x502145, (q31_t)0xf9ad94f0, + (q31_t)0x4ee4b8, (q31_t)0xf9ba1651, (q31_t)0x4daaa1, (q31_t)0xf9c697f0, + (q31_t)0x4c72fe, (q31_t)0xf9d319cc, (q31_t)0x4b3dcf, (q31_t)0xf9df9be6, + (q31_t)0x4a0b16, (q31_t)0xf9ec1e3b, (q31_t)0x48dad1, (q31_t)0xf9f8a0cd, + (q31_t)0x47ad01, (q31_t)0xfa05239a, (q31_t)0x4681a6, (q31_t)0xfa11a6a3, + (q31_t)0x4558c0, (q31_t)0xfa1e29e5, (q31_t)0x44324f, (q31_t)0xfa2aad62, + (q31_t)0x430e53, (q31_t)0xfa373119, (q31_t)0x41eccc, (q31_t)0xfa43b508, + (q31_t)0x40cdba, (q31_t)0xfa503930, (q31_t)0x3fb11d, (q31_t)0xfa5cbd91, + (q31_t)0x3e96f6, (q31_t)0xfa694229, (q31_t)0x3d7f44, (q31_t)0xfa75c6f8, + (q31_t)0x3c6a07, (q31_t)0xfa824bfd, (q31_t)0x3b573f, (q31_t)0xfa8ed139, + (q31_t)0x3a46ed, (q31_t)0xfa9b56ab, (q31_t)0x393910, (q31_t)0xfaa7dc52, + (q31_t)0x382da8, (q31_t)0xfab4622d, (q31_t)0x3724b6, (q31_t)0xfac0e83d, + (q31_t)0x361e3a, (q31_t)0xfacd6e81, (q31_t)0x351a33, (q31_t)0xfad9f4f8, + (q31_t)0x3418a2, (q31_t)0xfae67ba2, (q31_t)0x331986, (q31_t)0xfaf3027e, + (q31_t)0x321ce0, (q31_t)0xfaff898c, (q31_t)0x3122b0, (q31_t)0xfb0c10cb, + (q31_t)0x302af5, (q31_t)0xfb18983b, (q31_t)0x2f35b1, (q31_t)0xfb251fdc, + (q31_t)0x2e42e2, (q31_t)0xfb31a7ac, (q31_t)0x2d5289, (q31_t)0xfb3e2fac, + (q31_t)0x2c64a6, (q31_t)0xfb4ab7db, (q31_t)0x2b7939, (q31_t)0xfb574039, + (q31_t)0x2a9042, (q31_t)0xfb63c8c4, (q31_t)0x29a9c1, (q31_t)0xfb70517d, + (q31_t)0x28c5b6, (q31_t)0xfb7cda63, (q31_t)0x27e421, (q31_t)0xfb896375, + (q31_t)0x270502, (q31_t)0xfb95ecb4, (q31_t)0x262859, (q31_t)0xfba2761e, + (q31_t)0x254e27, (q31_t)0xfbaeffb3, (q31_t)0x24766a, (q31_t)0xfbbb8973, + (q31_t)0x23a124, (q31_t)0xfbc8135c, (q31_t)0x22ce54, (q31_t)0xfbd49d70, + (q31_t)0x21fdfb, (q31_t)0xfbe127ac, (q31_t)0x213018, (q31_t)0xfbedb212, + (q31_t)0x2064ab, (q31_t)0xfbfa3c9f, (q31_t)0x1f9bb5, (q31_t)0xfc06c754, + (q31_t)0x1ed535, (q31_t)0xfc135231, (q31_t)0x1e112b, (q31_t)0xfc1fdd34, + (q31_t)0x1d4f99, (q31_t)0xfc2c685d, (q31_t)0x1c907c, (q31_t)0xfc38f3ac, + (q31_t)0x1bd3d6, (q31_t)0xfc457f21, (q31_t)0x1b19a7, (q31_t)0xfc520aba, + (q31_t)0x1a61ee, (q31_t)0xfc5e9678, (q31_t)0x19acac, (q31_t)0xfc6b2259, + (q31_t)0x18f9e1, (q31_t)0xfc77ae5e, (q31_t)0x18498c, (q31_t)0xfc843a85, + (q31_t)0x179bae, (q31_t)0xfc90c6cf, (q31_t)0x16f047, (q31_t)0xfc9d533b, + (q31_t)0x164757, (q31_t)0xfca9dfc8, (q31_t)0x15a0dd, (q31_t)0xfcb66c77, + (q31_t)0x14fcda, (q31_t)0xfcc2f945, (q31_t)0x145b4e, (q31_t)0xfccf8634, + (q31_t)0x13bc39, (q31_t)0xfcdc1342, (q31_t)0x131f9b, (q31_t)0xfce8a06f, + (q31_t)0x128574, (q31_t)0xfcf52dbb, (q31_t)0x11edc3, (q31_t)0xfd01bb24, + (q31_t)0x11588a, (q31_t)0xfd0e48ab, (q31_t)0x10c5c7, (q31_t)0xfd1ad650, + (q31_t)0x10357c, (q31_t)0xfd276410, (q31_t)0xfa7a8, (q31_t)0xfd33f1ed, + (q31_t)0xf1c4a, (q31_t)0xfd407fe6, (q31_t)0xe9364, (q31_t)0xfd4d0df9, + (q31_t)0xe0cf5, (q31_t)0xfd599c28, (q31_t)0xd88fd, (q31_t)0xfd662a70, + (q31_t)0xd077c, (q31_t)0xfd72b8d2, (q31_t)0xc8872, (q31_t)0xfd7f474d, + (q31_t)0xc0be0, (q31_t)0xfd8bd5e1, (q31_t)0xb91c4, (q31_t)0xfd98648d, + (q31_t)0xb1a20, (q31_t)0xfda4f351, (q31_t)0xaa4f3, (q31_t)0xfdb1822c, + (q31_t)0xa323d, (q31_t)0xfdbe111e, (q31_t)0x9c1ff, (q31_t)0xfdcaa027, + (q31_t)0x95438, (q31_t)0xfdd72f45, (q31_t)0x8e8e8, (q31_t)0xfde3be78, + (q31_t)0x8800f, (q31_t)0xfdf04dc0, (q31_t)0x819ae, (q31_t)0xfdfcdd1d, + (q31_t)0x7b5c4, (q31_t)0xfe096c8d, (q31_t)0x75452, (q31_t)0xfe15fc11, + (q31_t)0x6f556, (q31_t)0xfe228ba7, (q31_t)0x698d3, (q31_t)0xfe2f1b50, + (q31_t)0x63ec6, (q31_t)0xfe3bab0b, (q31_t)0x5e731, (q31_t)0xfe483ad8, + (q31_t)0x59214, (q31_t)0xfe54cab5, (q31_t)0x53f6e, (q31_t)0xfe615aa3, + (q31_t)0x4ef3f, (q31_t)0xfe6deaa1, (q31_t)0x4a188, (q31_t)0xfe7a7aae, + (q31_t)0x45648, (q31_t)0xfe870aca, (q31_t)0x40d80, (q31_t)0xfe939af5, + (q31_t)0x3c72f, (q31_t)0xfea02b2e, (q31_t)0x38356, (q31_t)0xfeacbb74, + (q31_t)0x341f4, (q31_t)0xfeb94bc8, (q31_t)0x3030a, (q31_t)0xfec5dc28, + (q31_t)0x2c697, (q31_t)0xfed26c94, (q31_t)0x28c9c, (q31_t)0xfedefd0c, + (q31_t)0x25519, (q31_t)0xfeeb8d8f, (q31_t)0x2200d, (q31_t)0xfef81e1d, + (q31_t)0x1ed78, (q31_t)0xff04aeb5, (q31_t)0x1bd5c, (q31_t)0xff113f56, + (q31_t)0x18fb6, (q31_t)0xff1dd001, (q31_t)0x16489, (q31_t)0xff2a60b4, + (q31_t)0x13bd3, (q31_t)0xff36f170, (q31_t)0x11594, (q31_t)0xff438234, + (q31_t)0xf1ce, (q31_t)0xff5012fe, (q31_t)0xd07e, (q31_t)0xff5ca3d0, + (q31_t)0xb1a7, (q31_t)0xff6934a8, (q31_t)0x9547, (q31_t)0xff75c585, + (q31_t)0x7b5f, (q31_t)0xff825668, (q31_t)0x63ee, (q31_t)0xff8ee750, + (q31_t)0x4ef5, (q31_t)0xff9b783c, (q31_t)0x3c74, (q31_t)0xffa8092c, + (q31_t)0x2c6a, (q31_t)0xffb49a1f, (q31_t)0x1ed8, (q31_t)0xffc12b16, + (q31_t)0x13bd, (q31_t)0xffcdbc0f, (q31_t)0xb1a, (q31_t)0xffda4d09, + (q31_t)0x4ef, (q31_t)0xffe6de05, (q31_t)0x13c, (q31_t)0xfff36f02, + (q31_t)0x0, (q31_t)0x0, (q31_t)0x13c, (q31_t)0xc90fe, + (q31_t)0x4ef, (q31_t)0x1921fb, (q31_t)0xb1a, (q31_t)0x25b2f7, + (q31_t)0x13bd, (q31_t)0x3243f1, (q31_t)0x1ed8, (q31_t)0x3ed4ea, + (q31_t)0x2c6a, (q31_t)0x4b65e1, (q31_t)0x3c74, (q31_t)0x57f6d4, + (q31_t)0x4ef5, (q31_t)0x6487c4, (q31_t)0x63ee, (q31_t)0x7118b0, + (q31_t)0x7b5f, (q31_t)0x7da998, (q31_t)0x9547, (q31_t)0x8a3a7b, + (q31_t)0xb1a7, (q31_t)0x96cb58, (q31_t)0xd07e, (q31_t)0xa35c30, + (q31_t)0xf1ce, (q31_t)0xafed02, (q31_t)0x11594, (q31_t)0xbc7dcc, + (q31_t)0x13bd3, (q31_t)0xc90e90, (q31_t)0x16489, (q31_t)0xd59f4c, + (q31_t)0x18fb6, (q31_t)0xe22fff, (q31_t)0x1bd5c, (q31_t)0xeec0aa, + (q31_t)0x1ed78, (q31_t)0xfb514b, (q31_t)0x2200d, (q31_t)0x107e1e3, + (q31_t)0x25519, (q31_t)0x1147271, (q31_t)0x28c9c, (q31_t)0x12102f4, + (q31_t)0x2c697, (q31_t)0x12d936c, (q31_t)0x3030a, (q31_t)0x13a23d8, + (q31_t)0x341f4, (q31_t)0x146b438, (q31_t)0x38356, (q31_t)0x153448c, + (q31_t)0x3c72f, (q31_t)0x15fd4d2, (q31_t)0x40d80, (q31_t)0x16c650b, + (q31_t)0x45648, (q31_t)0x178f536, (q31_t)0x4a188, (q31_t)0x1858552, + (q31_t)0x4ef3f, (q31_t)0x192155f, (q31_t)0x53f6e, (q31_t)0x19ea55d, + (q31_t)0x59214, (q31_t)0x1ab354b, (q31_t)0x5e731, (q31_t)0x1b7c528, + (q31_t)0x63ec6, (q31_t)0x1c454f5, (q31_t)0x698d3, (q31_t)0x1d0e4b0, + (q31_t)0x6f556, (q31_t)0x1dd7459, (q31_t)0x75452, (q31_t)0x1ea03ef, + (q31_t)0x7b5c4, (q31_t)0x1f69373, (q31_t)0x819ae, (q31_t)0x20322e3, + (q31_t)0x8800f, (q31_t)0x20fb240, (q31_t)0x8e8e8, (q31_t)0x21c4188, + (q31_t)0x95438, (q31_t)0x228d0bb, (q31_t)0x9c1ff, (q31_t)0x2355fd9, + (q31_t)0xa323d, (q31_t)0x241eee2, (q31_t)0xaa4f3, (q31_t)0x24e7dd4, + (q31_t)0xb1a20, (q31_t)0x25b0caf, (q31_t)0xb91c4, (q31_t)0x2679b73, + (q31_t)0xc0be0, (q31_t)0x2742a1f, (q31_t)0xc8872, (q31_t)0x280b8b3, + (q31_t)0xd077c, (q31_t)0x28d472e, (q31_t)0xd88fd, (q31_t)0x299d590, + (q31_t)0xe0cf5, (q31_t)0x2a663d8, (q31_t)0xe9364, (q31_t)0x2b2f207, + (q31_t)0xf1c4a, (q31_t)0x2bf801a, (q31_t)0xfa7a8, (q31_t)0x2cc0e13, + (q31_t)0x10357c, (q31_t)0x2d89bf0, (q31_t)0x10c5c7, (q31_t)0x2e529b0, + (q31_t)0x11588a, (q31_t)0x2f1b755, (q31_t)0x11edc3, (q31_t)0x2fe44dc, + (q31_t)0x128574, (q31_t)0x30ad245, (q31_t)0x131f9b, (q31_t)0x3175f91, + (q31_t)0x13bc39, (q31_t)0x323ecbe, (q31_t)0x145b4e, (q31_t)0x33079cc, + (q31_t)0x14fcda, (q31_t)0x33d06bb, (q31_t)0x15a0dd, (q31_t)0x3499389, + (q31_t)0x164757, (q31_t)0x3562038, (q31_t)0x16f047, (q31_t)0x362acc5, + (q31_t)0x179bae, (q31_t)0x36f3931, (q31_t)0x18498c, (q31_t)0x37bc57b, + (q31_t)0x18f9e1, (q31_t)0x38851a2, (q31_t)0x19acac, (q31_t)0x394dda7, + (q31_t)0x1a61ee, (q31_t)0x3a16988, (q31_t)0x1b19a7, (q31_t)0x3adf546, + (q31_t)0x1bd3d6, (q31_t)0x3ba80df, (q31_t)0x1c907c, (q31_t)0x3c70c54, + (q31_t)0x1d4f99, (q31_t)0x3d397a3, (q31_t)0x1e112b, (q31_t)0x3e022cc, + (q31_t)0x1ed535, (q31_t)0x3ecadcf, (q31_t)0x1f9bb5, (q31_t)0x3f938ac, + (q31_t)0x2064ab, (q31_t)0x405c361, (q31_t)0x213018, (q31_t)0x4124dee, + (q31_t)0x21fdfb, (q31_t)0x41ed854, (q31_t)0x22ce54, (q31_t)0x42b6290, + (q31_t)0x23a124, (q31_t)0x437eca4, (q31_t)0x24766a, (q31_t)0x444768d, + (q31_t)0x254e27, (q31_t)0x451004d, (q31_t)0x262859, (q31_t)0x45d89e2, + (q31_t)0x270502, (q31_t)0x46a134c, (q31_t)0x27e421, (q31_t)0x4769c8b, + (q31_t)0x28c5b6, (q31_t)0x483259d, (q31_t)0x29a9c1, (q31_t)0x48fae83, + (q31_t)0x2a9042, (q31_t)0x49c373c, (q31_t)0x2b7939, (q31_t)0x4a8bfc7, + (q31_t)0x2c64a6, (q31_t)0x4b54825, (q31_t)0x2d5289, (q31_t)0x4c1d054, + (q31_t)0x2e42e2, (q31_t)0x4ce5854, (q31_t)0x2f35b1, (q31_t)0x4dae024, + (q31_t)0x302af5, (q31_t)0x4e767c5, (q31_t)0x3122b0, (q31_t)0x4f3ef35, + (q31_t)0x321ce0, (q31_t)0x5007674, (q31_t)0x331986, (q31_t)0x50cfd82, + (q31_t)0x3418a2, (q31_t)0x519845e, (q31_t)0x351a33, (q31_t)0x5260b08, + (q31_t)0x361e3a, (q31_t)0x532917f, (q31_t)0x3724b6, (q31_t)0x53f17c3, + (q31_t)0x382da8, (q31_t)0x54b9dd3, (q31_t)0x393910, (q31_t)0x55823ae, + (q31_t)0x3a46ed, (q31_t)0x564a955, (q31_t)0x3b573f, (q31_t)0x5712ec7, + (q31_t)0x3c6a07, (q31_t)0x57db403, (q31_t)0x3d7f44, (q31_t)0x58a3908, + (q31_t)0x3e96f6, (q31_t)0x596bdd7, (q31_t)0x3fb11d, (q31_t)0x5a3426f, + (q31_t)0x40cdba, (q31_t)0x5afc6d0, (q31_t)0x41eccc, (q31_t)0x5bc4af8, + (q31_t)0x430e53, (q31_t)0x5c8cee7, (q31_t)0x44324f, (q31_t)0x5d5529e, + (q31_t)0x4558c0, (q31_t)0x5e1d61b, (q31_t)0x4681a6, (q31_t)0x5ee595d, + (q31_t)0x47ad01, (q31_t)0x5fadc66, (q31_t)0x48dad1, (q31_t)0x6075f33, + (q31_t)0x4a0b16, (q31_t)0x613e1c5, (q31_t)0x4b3dcf, (q31_t)0x620641a, + (q31_t)0x4c72fe, (q31_t)0x62ce634, (q31_t)0x4daaa1, (q31_t)0x6396810, + (q31_t)0x4ee4b8, (q31_t)0x645e9af, (q31_t)0x502145, (q31_t)0x6526b10, + (q31_t)0x516045, (q31_t)0x65eec33, (q31_t)0x52a1bb, (q31_t)0x66b6d16, + (q31_t)0x53e5a5, (q31_t)0x677edbb, (q31_t)0x552c03, (q31_t)0x6846e1f, + (q31_t)0x5674d6, (q31_t)0x690ee44, (q31_t)0x57c01d, (q31_t)0x69d6e27, + (q31_t)0x590dd8, (q31_t)0x6a9edc9, (q31_t)0x5a5e07, (q31_t)0x6b66d29, + (q31_t)0x5bb0ab, (q31_t)0x6c2ec48, (q31_t)0x5d05c3, (q31_t)0x6cf6b23, + (q31_t)0x5e5d4e, (q31_t)0x6dbe9bb, (q31_t)0x5fb74e, (q31_t)0x6e86810, + (q31_t)0x6113c2, (q31_t)0x6f4e620, (q31_t)0x6272aa, (q31_t)0x70163eb, + (q31_t)0x63d405, (q31_t)0x70de172, (q31_t)0x6537d4, (q31_t)0x71a5eb3, + (q31_t)0x669e18, (q31_t)0x726dbae, (q31_t)0x6806ce, (q31_t)0x7335862, + (q31_t)0x6971f9, (q31_t)0x73fd4cf, (q31_t)0x6adf97, (q31_t)0x74c50f4, + (q31_t)0x6c4fa8, (q31_t)0x758ccd2, (q31_t)0x6dc22e, (q31_t)0x7654867, + (q31_t)0x6f3726, (q31_t)0x771c3b3, (q31_t)0x70ae92, (q31_t)0x77e3eb5, + (q31_t)0x722871, (q31_t)0x78ab96e, (q31_t)0x73a4c3, (q31_t)0x79733dc, + (q31_t)0x752389, (q31_t)0x7a3adff, (q31_t)0x76a4c2, (q31_t)0x7b027d7, + (q31_t)0x78286e, (q31_t)0x7bca163, (q31_t)0x79ae8c, (q31_t)0x7c91aa3, + (q31_t)0x7b371e, (q31_t)0x7d59396, (q31_t)0x7cc223, (q31_t)0x7e20c3b, + (q31_t)0x7e4f9b, (q31_t)0x7ee8493, (q31_t)0x7fdf85, (q31_t)0x7fafc9c, + (q31_t)0x8171e2, (q31_t)0x8077457, (q31_t)0x8306b2, (q31_t)0x813ebc2, + (q31_t)0x849df4, (q31_t)0x82062de, (q31_t)0x8637a9, (q31_t)0x82cd9a9, + (q31_t)0x87d3d0, (q31_t)0x8395024, (q31_t)0x89726a, (q31_t)0x845c64d, + (q31_t)0x8b1376, (q31_t)0x8523c25, (q31_t)0x8cb6f5, (q31_t)0x85eb1ab, + (q31_t)0x8e5ce5, (q31_t)0x86b26de, (q31_t)0x900548, (q31_t)0x8779bbe, + (q31_t)0x91b01d, (q31_t)0x884104b, (q31_t)0x935d64, (q31_t)0x8908483, + (q31_t)0x950d1d, (q31_t)0x89cf867, (q31_t)0x96bf48, (q31_t)0x8a96bf6, + (q31_t)0x9873e4, (q31_t)0x8b5df30, (q31_t)0x9a2af3, (q31_t)0x8c25213, + (q31_t)0x9be473, (q31_t)0x8cec4a0, (q31_t)0x9da065, (q31_t)0x8db36d6, + (q31_t)0x9f5ec8, (q31_t)0x8e7a8b5, (q31_t)0xa11f9d, (q31_t)0x8f41a3c, + (q31_t)0xa2e2e3, (q31_t)0x9008b6a, (q31_t)0xa4a89b, (q31_t)0x90cfc40, + (q31_t)0xa670c4, (q31_t)0x9196cbc, (q31_t)0xa83b5e, (q31_t)0x925dcdf, + (q31_t)0xaa086a, (q31_t)0x9324ca7, (q31_t)0xabd7e6, (q31_t)0x93ebc14, + (q31_t)0xada9d4, (q31_t)0x94b2b27, (q31_t)0xaf7e33, (q31_t)0x95799dd, + (q31_t)0xb15502, (q31_t)0x9640837, (q31_t)0xb32e42, (q31_t)0x9707635, + (q31_t)0xb509f3, (q31_t)0x97ce3d5, (q31_t)0xb6e815, (q31_t)0x9895118, + (q31_t)0xb8c8a7, (q31_t)0x995bdfd, (q31_t)0xbaabaa, (q31_t)0x9a22a83, + (q31_t)0xbc911d, (q31_t)0x9ae96aa, (q31_t)0xbe7901, (q31_t)0x9bb0271, + (q31_t)0xc06355, (q31_t)0x9c76dd8, (q31_t)0xc25019, (q31_t)0x9d3d8df, + (q31_t)0xc43f4d, (q31_t)0x9e04385, (q31_t)0xc630f2, (q31_t)0x9ecadc9, + (q31_t)0xc82506, (q31_t)0x9f917ac, (q31_t)0xca1b8a, (q31_t)0xa05812c, + (q31_t)0xcc147f, (q31_t)0xa11ea49, (q31_t)0xce0fe3, (q31_t)0xa1e5303, + (q31_t)0xd00db6, (q31_t)0xa2abb59, (q31_t)0xd20dfa, (q31_t)0xa37234a, + (q31_t)0xd410ad, (q31_t)0xa438ad7, (q31_t)0xd615cf, (q31_t)0xa4ff1fe, + (q31_t)0xd81d61, (q31_t)0xa5c58c0, (q31_t)0xda2762, (q31_t)0xa68bf1b, + (q31_t)0xdc33d2, (q31_t)0xa752510, (q31_t)0xde42b2, (q31_t)0xa818a9d, + (q31_t)0xe05401, (q31_t)0xa8defc3, (q31_t)0xe267be, (q31_t)0xa9a5480, + (q31_t)0xe47deb, (q31_t)0xaa6b8d5, (q31_t)0xe69686, (q31_t)0xab31cc1, + (q31_t)0xe8b190, (q31_t)0xabf8043, (q31_t)0xeacf09, (q31_t)0xacbe35b, + (q31_t)0xeceef1, (q31_t)0xad84609, (q31_t)0xef1147, (q31_t)0xae4a84b, + (q31_t)0xf1360b, (q31_t)0xaf10a22, (q31_t)0xf35d3e, (q31_t)0xafd6b8d, + (q31_t)0xf586df, (q31_t)0xb09cc8c, (q31_t)0xf7b2ee, (q31_t)0xb162d1d, + (q31_t)0xf9e16b, (q31_t)0xb228d42, (q31_t)0xfc1257, (q31_t)0xb2eecf8, + (q31_t)0xfe45b0, (q31_t)0xb3b4c40, (q31_t)0x1007b77, (q31_t)0xb47ab19, + (q31_t)0x102b3ac, (q31_t)0xb540982, (q31_t)0x104ee4f, (q31_t)0xb60677c, + (q31_t)0x1072b5f, (q31_t)0xb6cc506, (q31_t)0x1096add, (q31_t)0xb79221f, + (q31_t)0x10bacc8, (q31_t)0xb857ec7, (q31_t)0x10df120, (q31_t)0xb91dafc, + (q31_t)0x11037e6, (q31_t)0xb9e36c0, (q31_t)0x1128119, (q31_t)0xbaa9211, + (q31_t)0x114ccb9, (q31_t)0xbb6ecef, (q31_t)0x1171ac6, (q31_t)0xbc34759, + (q31_t)0x1196b3f, (q31_t)0xbcfa150, (q31_t)0x11bbe26, (q31_t)0xbdbfad1, + (q31_t)0x11e1379, (q31_t)0xbe853de, (q31_t)0x1206b39, (q31_t)0xbf4ac75, + (q31_t)0x122c566, (q31_t)0xc010496, (q31_t)0x12521ff, (q31_t)0xc0d5c41, + (q31_t)0x1278104, (q31_t)0xc19b374, (q31_t)0x129e276, (q31_t)0xc260a31, + (q31_t)0x12c4653, (q31_t)0xc326075, (q31_t)0x12eac9d, (q31_t)0xc3eb641, + (q31_t)0x1311553, (q31_t)0xc4b0b94, (q31_t)0x1338075, (q31_t)0xc57606e, + (q31_t)0x135ee02, (q31_t)0xc63b4ce, (q31_t)0x1385dfb, (q31_t)0xc7008b3, + (q31_t)0x13ad060, (q31_t)0xc7c5c1e, (q31_t)0x13d4530, (q31_t)0xc88af0e, + (q31_t)0x13fbc6c, (q31_t)0xc950182, (q31_t)0x1423613, (q31_t)0xca1537a, + (q31_t)0x144b225, (q31_t)0xcada4f5, (q31_t)0x14730a3, (q31_t)0xcb9f5f3, + (q31_t)0x149b18b, (q31_t)0xcc64673, (q31_t)0x14c34df, (q31_t)0xcd29676, + (q31_t)0x14eba9d, (q31_t)0xcdee5f9, (q31_t)0x15142c6, (q31_t)0xceb34fe, + (q31_t)0x153cd5a, (q31_t)0xcf78383, (q31_t)0x1565a58, (q31_t)0xd03d189, + (q31_t)0x158e9c1, (q31_t)0xd101f0e, (q31_t)0x15b7b94, (q31_t)0xd1c6c11, + (q31_t)0x15e0fd1, (q31_t)0xd28b894, (q31_t)0x160a678, (q31_t)0xd350495, + (q31_t)0x1633f8a, (q31_t)0xd415013, (q31_t)0x165db05, (q31_t)0xd4d9b0e, + (q31_t)0x16878eb, (q31_t)0xd59e586, (q31_t)0x16b193a, (q31_t)0xd662f7b, + (q31_t)0x16dbbf3, (q31_t)0xd7278eb, (q31_t)0x1706115, (q31_t)0xd7ec1d6, + (q31_t)0x17308a1, (q31_t)0xd8b0a3d, (q31_t)0x175b296, (q31_t)0xd97521d, + (q31_t)0x1785ef4, (q31_t)0xda39978, (q31_t)0x17b0dbb, (q31_t)0xdafe04b, + (q31_t)0x17dbeec, (q31_t)0xdbc2698, (q31_t)0x1807285, (q31_t)0xdc86c5d, + (q31_t)0x1832888, (q31_t)0xdd4b19a, (q31_t)0x185e0f3, (q31_t)0xde0f64f, + (q31_t)0x1889bc6, (q31_t)0xded3a7b, (q31_t)0x18b5903, (q31_t)0xdf97e1d, + (q31_t)0x18e18a7, (q31_t)0xe05c135, (q31_t)0x190dab4, (q31_t)0xe1203c3, + (q31_t)0x1939f29, (q31_t)0xe1e45c6, (q31_t)0x1966606, (q31_t)0xe2a873e, + (q31_t)0x1992f4c, (q31_t)0xe36c82a, (q31_t)0x19bfaf9, (q31_t)0xe430889, + (q31_t)0x19ec90d, (q31_t)0xe4f485c, (q31_t)0x1a1998a, (q31_t)0xe5b87a2, + (q31_t)0x1a46c6e, (q31_t)0xe67c65a, (q31_t)0x1a741b9, (q31_t)0xe740483, + (q31_t)0x1aa196c, (q31_t)0xe80421e, (q31_t)0x1acf386, (q31_t)0xe8c7f2a, + (q31_t)0x1afd007, (q31_t)0xe98bba7, (q31_t)0x1b2aef0, (q31_t)0xea4f793, + (q31_t)0x1b5903f, (q31_t)0xeb132ef, (q31_t)0x1b873f5, (q31_t)0xebd6db9, + (q31_t)0x1bb5a11, (q31_t)0xec9a7f3, (q31_t)0x1be4294, (q31_t)0xed5e19a, + (q31_t)0x1c12d7e, (q31_t)0xee21aaf, (q31_t)0x1c41ace, (q31_t)0xeee5331, + (q31_t)0x1c70a84, (q31_t)0xefa8b20, (q31_t)0x1c9fca0, (q31_t)0xf06c27a, + (q31_t)0x1ccf122, (q31_t)0xf12f941, (q31_t)0x1cfe80a, (q31_t)0xf1f2f73, + (q31_t)0x1d2e158, (q31_t)0xf2b650f, (q31_t)0x1d5dd0c, (q31_t)0xf379a16, + (q31_t)0x1d8db25, (q31_t)0xf43ce86, (q31_t)0x1dbdba3, (q31_t)0xf500260, + (q31_t)0x1dede87, (q31_t)0xf5c35a3, (q31_t)0x1e1e3d0, (q31_t)0xf68684e, + (q31_t)0x1e4eb7e, (q31_t)0xf749a61, (q31_t)0x1e7f591, (q31_t)0xf80cbdc, + (q31_t)0x1eb0209, (q31_t)0xf8cfcbe, (q31_t)0x1ee10e5, (q31_t)0xf992d06, + (q31_t)0x1f12227, (q31_t)0xfa55cb4, (q31_t)0x1f435cc, (q31_t)0xfb18bc8, + (q31_t)0x1f74bd6, (q31_t)0xfbdba40, (q31_t)0x1fa6445, (q31_t)0xfc9e81e, + (q31_t)0x1fd7f17, (q31_t)0xfd6155f, (q31_t)0x2009c4e, (q31_t)0xfe24205, + (q31_t)0x203bbe8, (q31_t)0xfee6e0d, (q31_t)0x206dde6, (q31_t)0xffa9979, + (q31_t)0x20a0248, (q31_t)0x1006c446, (q31_t)0x20d290d, (q31_t)0x1012ee76, + (q31_t)0x2105236, (q31_t)0x101f1807, (q31_t)0x2137dc2, (q31_t)0x102b40f8, + (q31_t)0x216abb1, (q31_t)0x1037694b, (q31_t)0x219dc03, (q31_t)0x104390fd, + (q31_t)0x21d0eb8, (q31_t)0x104fb80e, (q31_t)0x22043d0, (q31_t)0x105bde7f, + (q31_t)0x2237b4b, (q31_t)0x1068044e, (q31_t)0x226b528, (q31_t)0x1074297b, + (q31_t)0x229f167, (q31_t)0x10804e06, (q31_t)0x22d3009, (q31_t)0x108c71ee, + (q31_t)0x230710d, (q31_t)0x10989532, (q31_t)0x233b473, (q31_t)0x10a4b7d3, + (q31_t)0x236fa3b, (q31_t)0x10b0d9d0, (q31_t)0x23a4265, (q31_t)0x10bcfb28, + (q31_t)0x23d8cf1, (q31_t)0x10c91bda, (q31_t)0x240d9de, (q31_t)0x10d53be7, + (q31_t)0x244292c, (q31_t)0x10e15b4e, (q31_t)0x2477adc, (q31_t)0x10ed7a0e, + (q31_t)0x24aceed, (q31_t)0x10f99827, (q31_t)0x24e255e, (q31_t)0x1105b599, + (q31_t)0x2517e31, (q31_t)0x1111d263, (q31_t)0x254d965, (q31_t)0x111dee84, + (q31_t)0x25836f9, (q31_t)0x112a09fc, (q31_t)0x25b96ee, (q31_t)0x113624cb, + (q31_t)0x25ef943, (q31_t)0x11423ef0, (q31_t)0x2625df8, (q31_t)0x114e586a, + (q31_t)0x265c50e, (q31_t)0x115a713a, (q31_t)0x2692e83, (q31_t)0x1166895f, + (q31_t)0x26c9a58, (q31_t)0x1172a0d7, (q31_t)0x270088e, (q31_t)0x117eb7a4, + (q31_t)0x2737922, (q31_t)0x118acdc4, (q31_t)0x276ec16, (q31_t)0x1196e337, + (q31_t)0x27a616a, (q31_t)0x11a2f7fc, (q31_t)0x27dd91c, (q31_t)0x11af0c13, + (q31_t)0x281532e, (q31_t)0x11bb1f7c, (q31_t)0x284cf9f, (q31_t)0x11c73235, + (q31_t)0x2884e6e, (q31_t)0x11d3443f, (q31_t)0x28bcf9c, (q31_t)0x11df5599, + (q31_t)0x28f5329, (q31_t)0x11eb6643, (q31_t)0x292d914, (q31_t)0x11f7763c, + (q31_t)0x296615d, (q31_t)0x12038584, (q31_t)0x299ec05, (q31_t)0x120f941a, + (q31_t)0x29d790a, (q31_t)0x121ba1fd, (q31_t)0x2a1086d, (q31_t)0x1227af2e, + (q31_t)0x2a49a2e, (q31_t)0x1233bbac, (q31_t)0x2a82e4d, (q31_t)0x123fc776, + (q31_t)0x2abc4c9, (q31_t)0x124bd28c, (q31_t)0x2af5da2, (q31_t)0x1257dced, + (q31_t)0x2b2f8d8, (q31_t)0x1263e699, (q31_t)0x2b6966c, (q31_t)0x126fef90, + (q31_t)0x2ba365c, (q31_t)0x127bf7d1, (q31_t)0x2bdd8a9, (q31_t)0x1287ff5b, + (q31_t)0x2c17d52, (q31_t)0x1294062f, (q31_t)0x2c52459, (q31_t)0x12a00c4b, + (q31_t)0x2c8cdbb, (q31_t)0x12ac11af, (q31_t)0x2cc7979, (q31_t)0x12b8165b, + (q31_t)0x2d02794, (q31_t)0x12c41a4f, (q31_t)0x2d3d80a, (q31_t)0x12d01d89, + (q31_t)0x2d78add, (q31_t)0x12dc2009, (q31_t)0x2db400a, (q31_t)0x12e821cf, + (q31_t)0x2def794, (q31_t)0x12f422db, (q31_t)0x2e2b178, (q31_t)0x1300232c, + (q31_t)0x2e66db8, (q31_t)0x130c22c1, (q31_t)0x2ea2c53, (q31_t)0x1318219a, + (q31_t)0x2eded49, (q31_t)0x13241fb6, (q31_t)0x2f1b099, (q31_t)0x13301d16, + (q31_t)0x2f57644, (q31_t)0x133c19b8, (q31_t)0x2f93e4a, (q31_t)0x1348159d, + (q31_t)0x2fd08a9, (q31_t)0x135410c3, (q31_t)0x300d563, (q31_t)0x13600b2a, + (q31_t)0x304a477, (q31_t)0x136c04d2, (q31_t)0x30875e5, (q31_t)0x1377fdbb, + (q31_t)0x30c49ad, (q31_t)0x1383f5e3, (q31_t)0x3101fce, (q31_t)0x138fed4b, + (q31_t)0x313f848, (q31_t)0x139be3f2, (q31_t)0x317d31c, (q31_t)0x13a7d9d7, + (q31_t)0x31bb049, (q31_t)0x13b3cefa, (q31_t)0x31f8fcf, (q31_t)0x13bfc35b, + (q31_t)0x32371ae, (q31_t)0x13cbb6f8, (q31_t)0x32755e5, (q31_t)0x13d7a9d3, + (q31_t)0x32b3c75, (q31_t)0x13e39be9, (q31_t)0x32f255e, (q31_t)0x13ef8d3c, + (q31_t)0x333109e, (q31_t)0x13fb7dc9, (q31_t)0x336fe37, (q31_t)0x14076d91, + (q31_t)0x33aee27, (q31_t)0x14135c94, (q31_t)0x33ee070, (q31_t)0x141f4ad1, + (q31_t)0x342d510, (q31_t)0x142b3846, (q31_t)0x346cc07, (q31_t)0x143724f5, + (q31_t)0x34ac556, (q31_t)0x144310dd, (q31_t)0x34ec0fc, (q31_t)0x144efbfc, + (q31_t)0x352bef9, (q31_t)0x145ae653, (q31_t)0x356bf4d, (q31_t)0x1466cfe1, + (q31_t)0x35ac1f7, (q31_t)0x1472b8a5, (q31_t)0x35ec6f8, (q31_t)0x147ea0a0, + (q31_t)0x362ce50, (q31_t)0x148a87d1, (q31_t)0x366d7fd, (q31_t)0x14966e36, + (q31_t)0x36ae401, (q31_t)0x14a253d1, (q31_t)0x36ef25b, (q31_t)0x14ae38a0, + (q31_t)0x373030a, (q31_t)0x14ba1ca3, (q31_t)0x377160f, (q31_t)0x14c5ffd9, + (q31_t)0x37b2b6a, (q31_t)0x14d1e242, (q31_t)0x37f4319, (q31_t)0x14ddc3de, + (q31_t)0x3835d1e, (q31_t)0x14e9a4ac, (q31_t)0x3877978, (q31_t)0x14f584ac, + (q31_t)0x38b9827, (q31_t)0x150163dc, (q31_t)0x38fb92a, (q31_t)0x150d423d, + (q31_t)0x393dc82, (q31_t)0x15191fcf, (q31_t)0x398022f, (q31_t)0x1524fc90, + (q31_t)0x39c2a2f, (q31_t)0x1530d881, (q31_t)0x3a05484, (q31_t)0x153cb3a0, + (q31_t)0x3a4812c, (q31_t)0x15488dee, (q31_t)0x3a8b028, (q31_t)0x1554676a, + (q31_t)0x3ace178, (q31_t)0x15604013, (q31_t)0x3b1151b, (q31_t)0x156c17e9, + (q31_t)0x3b54b11, (q31_t)0x1577eeec, (q31_t)0x3b9835a, (q31_t)0x1583c51b, + (q31_t)0x3bdbdf6, (q31_t)0x158f9a76, (q31_t)0x3c1fae5, (q31_t)0x159b6efb, + (q31_t)0x3c63a26, (q31_t)0x15a742ac, (q31_t)0x3ca7bba, (q31_t)0x15b31587, + (q31_t)0x3cebfa0, (q31_t)0x15bee78c, (q31_t)0x3d305d8, (q31_t)0x15cab8ba, + (q31_t)0x3d74e62, (q31_t)0x15d68911, (q31_t)0x3db993e, (q31_t)0x15e25890, + (q31_t)0x3dfe66c, (q31_t)0x15ee2738, (q31_t)0x3e435ea, (q31_t)0x15f9f507, + (q31_t)0x3e887bb, (q31_t)0x1605c1fd, (q31_t)0x3ecdbdc, (q31_t)0x16118e1a, + (q31_t)0x3f1324e, (q31_t)0x161d595d, (q31_t)0x3f58b10, (q31_t)0x162923c5, + (q31_t)0x3f9e624, (q31_t)0x1634ed53, (q31_t)0x3fe4388, (q31_t)0x1640b606, + (q31_t)0x402a33c, (q31_t)0x164c7ddd, (q31_t)0x4070540, (q31_t)0x165844d8, + (q31_t)0x40b6994, (q31_t)0x16640af7, (q31_t)0x40fd037, (q31_t)0x166fd039, + (q31_t)0x414392b, (q31_t)0x167b949d, (q31_t)0x418a46d, (q31_t)0x16875823, + (q31_t)0x41d11ff, (q31_t)0x16931acb, (q31_t)0x42181e0, (q31_t)0x169edc94, + (q31_t)0x425f410, (q31_t)0x16aa9d7e, (q31_t)0x42a688f, (q31_t)0x16b65d88, + (q31_t)0x42edf5c, (q31_t)0x16c21cb2, (q31_t)0x4335877, (q31_t)0x16cddafb, + (q31_t)0x437d3e1, (q31_t)0x16d99864, (q31_t)0x43c5199, (q31_t)0x16e554ea, + (q31_t)0x440d19e, (q31_t)0x16f1108f, (q31_t)0x44553f2, (q31_t)0x16fccb51, + (q31_t)0x449d892, (q31_t)0x17088531, (q31_t)0x44e5f80, (q31_t)0x17143e2d, + (q31_t)0x452e8bc, (q31_t)0x171ff646, (q31_t)0x4577444, (q31_t)0x172bad7a, + (q31_t)0x45c0219, (q31_t)0x173763c9, (q31_t)0x460923b, (q31_t)0x17431933, + (q31_t)0x46524a9, (q31_t)0x174ecdb8, (q31_t)0x469b963, (q31_t)0x175a8157, + (q31_t)0x46e5069, (q31_t)0x1766340f, (q31_t)0x472e9bc, (q31_t)0x1771e5e0, + (q31_t)0x477855a, (q31_t)0x177d96ca, (q31_t)0x47c2344, (q31_t)0x178946cc, + (q31_t)0x480c379, (q31_t)0x1794f5e6, (q31_t)0x48565f9, (q31_t)0x17a0a417, + (q31_t)0x48a0ac4, (q31_t)0x17ac515f, (q31_t)0x48eb1db, (q31_t)0x17b7fdbd, + (q31_t)0x4935b3c, (q31_t)0x17c3a931, (q31_t)0x49806e7, (q31_t)0x17cf53bb, + (q31_t)0x49cb4dd, (q31_t)0x17dafd59, (q31_t)0x4a1651c, (q31_t)0x17e6a60c, + (q31_t)0x4a617a6, (q31_t)0x17f24dd3, (q31_t)0x4aacc7a, (q31_t)0x17fdf4ae, + (q31_t)0x4af8397, (q31_t)0x18099a9c, (q31_t)0x4b43cfd, (q31_t)0x18153f9d, + (q31_t)0x4b8f8ad, (q31_t)0x1820e3b0, (q31_t)0x4bdb6a6, (q31_t)0x182c86d5, + (q31_t)0x4c276e8, (q31_t)0x1838290c, (q31_t)0x4c73972, (q31_t)0x1843ca53, + (q31_t)0x4cbfe45, (q31_t)0x184f6aab, (q31_t)0x4d0c560, (q31_t)0x185b0a13, + (q31_t)0x4d58ec3, (q31_t)0x1866a88a, (q31_t)0x4da5a6f, (q31_t)0x18724611, + (q31_t)0x4df2862, (q31_t)0x187de2a7, (q31_t)0x4e3f89c, (q31_t)0x18897e4a, + (q31_t)0x4e8cb1e, (q31_t)0x189518fc, (q31_t)0x4ed9fe7, (q31_t)0x18a0b2bb, + (q31_t)0x4f276f7, (q31_t)0x18ac4b87, (q31_t)0x4f7504e, (q31_t)0x18b7e35f, + (q31_t)0x4fc2bec, (q31_t)0x18c37a44, (q31_t)0x50109d0, (q31_t)0x18cf1034, + (q31_t)0x505e9fb, (q31_t)0x18daa52f, (q31_t)0x50acc6b, (q31_t)0x18e63935, + (q31_t)0x50fb121, (q31_t)0x18f1cc45, (q31_t)0x514981d, (q31_t)0x18fd5e5f, + (q31_t)0x519815f, (q31_t)0x1908ef82, (q31_t)0x51e6ce6, (q31_t)0x19147fae, + (q31_t)0x5235ab2, (q31_t)0x19200ee3, (q31_t)0x5284ac3, (q31_t)0x192b9d1f, + (q31_t)0x52d3d18, (q31_t)0x19372a64, (q31_t)0x53231b3, (q31_t)0x1942b6af, + (q31_t)0x5372891, (q31_t)0x194e4201, (q31_t)0x53c21b4, (q31_t)0x1959cc5a, + (q31_t)0x5411d1b, (q31_t)0x196555b8, (q31_t)0x5461ac6, (q31_t)0x1970de1b, + (q31_t)0x54b1ab4, (q31_t)0x197c6584, (q31_t)0x5501ce5, (q31_t)0x1987ebf0, + (q31_t)0x555215a, (q31_t)0x19937161, (q31_t)0x55a2812, (q31_t)0x199ef5d6, + (q31_t)0x55f310d, (q31_t)0x19aa794d, (q31_t)0x5643c4a, (q31_t)0x19b5fbc8, + (q31_t)0x56949ca, (q31_t)0x19c17d44, (q31_t)0x56e598c, (q31_t)0x19ccfdc2, + (q31_t)0x5736b90, (q31_t)0x19d87d42, (q31_t)0x5787fd6, (q31_t)0x19e3fbc3, + (q31_t)0x57d965d, (q31_t)0x19ef7944, (q31_t)0x582af26, (q31_t)0x19faf5c5, + (q31_t)0x587ca31, (q31_t)0x1a067145, (q31_t)0x58ce77c, (q31_t)0x1a11ebc5, + (q31_t)0x5920708, (q31_t)0x1a1d6544, (q31_t)0x59728d5, (q31_t)0x1a28ddc0, + (q31_t)0x59c4ce3, (q31_t)0x1a34553b, (q31_t)0x5a17330, (q31_t)0x1a3fcbb3, + (q31_t)0x5a69bbe, (q31_t)0x1a4b4128, (q31_t)0x5abc68c, (q31_t)0x1a56b599, + (q31_t)0x5b0f399, (q31_t)0x1a622907, (q31_t)0x5b622e6, (q31_t)0x1a6d9b70, + (q31_t)0x5bb5472, (q31_t)0x1a790cd4, (q31_t)0x5c0883d, (q31_t)0x1a847d33, + (q31_t)0x5c5be47, (q31_t)0x1a8fec8c, (q31_t)0x5caf690, (q31_t)0x1a9b5adf, + (q31_t)0x5d03118, (q31_t)0x1aa6c82b, (q31_t)0x5d56ddd, (q31_t)0x1ab23471, + (q31_t)0x5daace1, (q31_t)0x1abd9faf, (q31_t)0x5dfee22, (q31_t)0x1ac909e5, + (q31_t)0x5e531a1, (q31_t)0x1ad47312, (q31_t)0x5ea775e, (q31_t)0x1adfdb37, + (q31_t)0x5efbf58, (q31_t)0x1aeb4253, (q31_t)0x5f5098f, (q31_t)0x1af6a865, + (q31_t)0x5fa5603, (q31_t)0x1b020d6c, (q31_t)0x5ffa4b3, (q31_t)0x1b0d716a, + (q31_t)0x604f5a0, (q31_t)0x1b18d45c, (q31_t)0x60a48c9, (q31_t)0x1b243643, + (q31_t)0x60f9e2e, (q31_t)0x1b2f971e, (q31_t)0x614f5cf, (q31_t)0x1b3af6ec, + (q31_t)0x61a4fac, (q31_t)0x1b4655ae, (q31_t)0x61fabc4, (q31_t)0x1b51b363, + (q31_t)0x6250a18, (q31_t)0x1b5d100a, (q31_t)0x62a6aa6, (q31_t)0x1b686ba3, + (q31_t)0x62fcd6f, (q31_t)0x1b73c62d, (q31_t)0x6353273, (q31_t)0x1b7f1fa9, + (q31_t)0x63a99b1, (q31_t)0x1b8a7815, (q31_t)0x6400329, (q31_t)0x1b95cf71, + (q31_t)0x6456edb, (q31_t)0x1ba125bd, (q31_t)0x64adcc7, (q31_t)0x1bac7af9, + (q31_t)0x6504ced, (q31_t)0x1bb7cf23, (q31_t)0x655bf4c, (q31_t)0x1bc3223c, + (q31_t)0x65b33e4, (q31_t)0x1bce7442, (q31_t)0x660aab5, (q31_t)0x1bd9c537, + (q31_t)0x66623be, (q31_t)0x1be51518, (q31_t)0x66b9f01, (q31_t)0x1bf063e6, + (q31_t)0x6711c7b, (q31_t)0x1bfbb1a0, (q31_t)0x6769c2e, (q31_t)0x1c06fe46, + (q31_t)0x67c1e18, (q31_t)0x1c1249d8, (q31_t)0x681a23a, (q31_t)0x1c1d9454, + (q31_t)0x6872894, (q31_t)0x1c28ddbb, (q31_t)0x68cb124, (q31_t)0x1c34260c, + (q31_t)0x6923bec, (q31_t)0x1c3f6d47, (q31_t)0x697c8eb, (q31_t)0x1c4ab36b, + (q31_t)0x69d5820, (q31_t)0x1c55f878, (q31_t)0x6a2e98b, (q31_t)0x1c613c6d, + (q31_t)0x6a87d2d, (q31_t)0x1c6c7f4a, (q31_t)0x6ae1304, (q31_t)0x1c77c10e, + (q31_t)0x6b3ab12, (q31_t)0x1c8301b9, (q31_t)0x6b94554, (q31_t)0x1c8e414b, + (q31_t)0x6bee1cd, (q31_t)0x1c997fc4, (q31_t)0x6c4807a, (q31_t)0x1ca4bd21, + (q31_t)0x6ca215c, (q31_t)0x1caff965, (q31_t)0x6cfc472, (q31_t)0x1cbb348d, + (q31_t)0x6d569be, (q31_t)0x1cc66e99, (q31_t)0x6db113d, (q31_t)0x1cd1a78a, + (q31_t)0x6e0baf0, (q31_t)0x1cdcdf5e, (q31_t)0x6e666d7, (q31_t)0x1ce81615, + (q31_t)0x6ec14f2, (q31_t)0x1cf34baf, (q31_t)0x6f1c540, (q31_t)0x1cfe802b, + (q31_t)0x6f777c1, (q31_t)0x1d09b389, (q31_t)0x6fd2c75, (q31_t)0x1d14e5c9, + (q31_t)0x702e35c, (q31_t)0x1d2016e9, (q31_t)0x7089c75, (q31_t)0x1d2b46ea, + (q31_t)0x70e57c0, (q31_t)0x1d3675cb, (q31_t)0x714153e, (q31_t)0x1d41a38c, + (q31_t)0x719d4ed, (q31_t)0x1d4cd02c, (q31_t)0x71f96ce, (q31_t)0x1d57fbaa, + (q31_t)0x7255ae0, (q31_t)0x1d632608, (q31_t)0x72b2123, (q31_t)0x1d6e4f43, + (q31_t)0x730e997, (q31_t)0x1d79775c, (q31_t)0x736b43c, (q31_t)0x1d849e51, + (q31_t)0x73c8111, (q31_t)0x1d8fc424, (q31_t)0x7425016, (q31_t)0x1d9ae8d2, + (q31_t)0x748214c, (q31_t)0x1da60c5d, (q31_t)0x74df4b1, (q31_t)0x1db12ec3, + (q31_t)0x753ca46, (q31_t)0x1dbc5004, (q31_t)0x759a20a, (q31_t)0x1dc7701f, + (q31_t)0x75f7bfe, (q31_t)0x1dd28f15, (q31_t)0x7655820, (q31_t)0x1dddace4, + (q31_t)0x76b3671, (q31_t)0x1de8c98c, (q31_t)0x77116f0, (q31_t)0x1df3e50d, + (q31_t)0x776f99d, (q31_t)0x1dfeff67, (q31_t)0x77cde79, (q31_t)0x1e0a1898, + (q31_t)0x782c582, (q31_t)0x1e1530a1, (q31_t)0x788aeb9, (q31_t)0x1e204781, + (q31_t)0x78e9a1d, (q31_t)0x1e2b5d38, (q31_t)0x79487ae, (q31_t)0x1e3671c5, + (q31_t)0x79a776c, (q31_t)0x1e418528, (q31_t)0x7a06957, (q31_t)0x1e4c9760, + (q31_t)0x7a65d6e, (q31_t)0x1e57a86d, (q31_t)0x7ac53b1, (q31_t)0x1e62b84f, + (q31_t)0x7b24c20, (q31_t)0x1e6dc705, (q31_t)0x7b846ba, (q31_t)0x1e78d48e, + (q31_t)0x7be4381, (q31_t)0x1e83e0eb, (q31_t)0x7c44272, (q31_t)0x1e8eec1b, + (q31_t)0x7ca438f, (q31_t)0x1e99f61d, (q31_t)0x7d046d6, (q31_t)0x1ea4fef0, + (q31_t)0x7d64c47, (q31_t)0x1eb00696, (q31_t)0x7dc53e3, (q31_t)0x1ebb0d0d, + (q31_t)0x7e25daa, (q31_t)0x1ec61254, (q31_t)0x7e8699a, (q31_t)0x1ed1166b, + (q31_t)0x7ee77b3, (q31_t)0x1edc1953, (q31_t)0x7f487f6, (q31_t)0x1ee71b0a, + (q31_t)0x7fa9a62, (q31_t)0x1ef21b90, (q31_t)0x800aef7, (q31_t)0x1efd1ae4, + (q31_t)0x806c5b5, (q31_t)0x1f081907, (q31_t)0x80cde9b, (q31_t)0x1f1315f7, + (q31_t)0x812f9a9, (q31_t)0x1f1e11b5, (q31_t)0x81916df, (q31_t)0x1f290c3f, + (q31_t)0x81f363d, (q31_t)0x1f340596, (q31_t)0x82557c3, (q31_t)0x1f3efdb9, + (q31_t)0x82b7b70, (q31_t)0x1f49f4a8, (q31_t)0x831a143, (q31_t)0x1f54ea62, + (q31_t)0x837c93e, (q31_t)0x1f5fdee6, (q31_t)0x83df35f, (q31_t)0x1f6ad235, + (q31_t)0x8441fa6, (q31_t)0x1f75c44e, (q31_t)0x84a4e14, (q31_t)0x1f80b531, + (q31_t)0x8507ea7, (q31_t)0x1f8ba4dc, (q31_t)0x856b160, (q31_t)0x1f969350, + (q31_t)0x85ce63e, (q31_t)0x1fa1808c, (q31_t)0x8631d42, (q31_t)0x1fac6c91, + (q31_t)0x869566a, (q31_t)0x1fb7575c, (q31_t)0x86f91b7, (q31_t)0x1fc240ef, + (q31_t)0x875cf28, (q31_t)0x1fcd2948, (q31_t)0x87c0ebd, (q31_t)0x1fd81067, + (q31_t)0x8825077, (q31_t)0x1fe2f64c, (q31_t)0x8889454, (q31_t)0x1feddaf6, + (q31_t)0x88eda54, (q31_t)0x1ff8be65, (q31_t)0x8952278, (q31_t)0x2003a099, + (q31_t)0x89b6cbf, (q31_t)0x200e8190, (q31_t)0x8a1b928, (q31_t)0x2019614c, + (q31_t)0x8a807b4, (q31_t)0x20243fca, (q31_t)0x8ae5862, (q31_t)0x202f1d0b, + (q31_t)0x8b4ab32, (q31_t)0x2039f90f, (q31_t)0x8bb0023, (q31_t)0x2044d3d4, + (q31_t)0x8c15736, (q31_t)0x204fad5b, (q31_t)0x8c7b06b, (q31_t)0x205a85a3, + (q31_t)0x8ce0bc0, (q31_t)0x20655cac, (q31_t)0x8d46936, (q31_t)0x20703275, + (q31_t)0x8dac8cd, (q31_t)0x207b06fe, (q31_t)0x8e12a84, (q31_t)0x2085da46, + (q31_t)0x8e78e5b, (q31_t)0x2090ac4d, (q31_t)0x8edf452, (q31_t)0x209b7d13, + (q31_t)0x8f45c68, (q31_t)0x20a64c97, (q31_t)0x8fac69e, (q31_t)0x20b11ad9, + (q31_t)0x90132f2, (q31_t)0x20bbe7d8, (q31_t)0x907a166, (q31_t)0x20c6b395, + (q31_t)0x90e11f7, (q31_t)0x20d17e0d, (q31_t)0x91484a8, (q31_t)0x20dc4742, + (q31_t)0x91af976, (q31_t)0x20e70f32, (q31_t)0x9217062, (q31_t)0x20f1d5de, + (q31_t)0x927e96b, (q31_t)0x20fc9b44, (q31_t)0x92e6492, (q31_t)0x21075f65, + (q31_t)0x934e1d6, (q31_t)0x21122240, (q31_t)0x93b6137, (q31_t)0x211ce3d5, + (q31_t)0x941e2b4, (q31_t)0x2127a423, (q31_t)0x948664d, (q31_t)0x21326329, + (q31_t)0x94eec03, (q31_t)0x213d20e8, (q31_t)0x95573d4, (q31_t)0x2147dd5f, + (q31_t)0x95bfdc1, (q31_t)0x2152988d, (q31_t)0x96289c9, (q31_t)0x215d5273, + (q31_t)0x96917ec, (q31_t)0x21680b0f, (q31_t)0x96fa82a, (q31_t)0x2172c262, + (q31_t)0x9763a83, (q31_t)0x217d786a, (q31_t)0x97ccef5, (q31_t)0x21882d28, + (q31_t)0x9836582, (q31_t)0x2192e09b, (q31_t)0x989fe29, (q31_t)0x219d92c2, + (q31_t)0x99098e9, (q31_t)0x21a8439e, (q31_t)0x99735c2, (q31_t)0x21b2f32e, + (q31_t)0x99dd4b4, (q31_t)0x21bda171, (q31_t)0x9a475bf, (q31_t)0x21c84e67, + (q31_t)0x9ab18e3, (q31_t)0x21d2fa0f, (q31_t)0x9b1be1e, (q31_t)0x21dda46a, + (q31_t)0x9b86572, (q31_t)0x21e84d76, (q31_t)0x9bf0edd, (q31_t)0x21f2f534, + (q31_t)0x9c5ba60, (q31_t)0x21fd9ba3, (q31_t)0x9cc67fa, (q31_t)0x220840c2, + (q31_t)0x9d317ab, (q31_t)0x2212e492, (q31_t)0x9d9c973, (q31_t)0x221d8711, + (q31_t)0x9e07d51, (q31_t)0x2228283f, (q31_t)0x9e73346, (q31_t)0x2232c81c, + (q31_t)0x9edeb50, (q31_t)0x223d66a8, (q31_t)0x9f4a570, (q31_t)0x224803e2, + (q31_t)0x9fb61a5, (q31_t)0x22529fca, (q31_t)0xa021fef, (q31_t)0x225d3a5e, + (q31_t)0xa08e04f, (q31_t)0x2267d3a0, (q31_t)0xa0fa2c3, (q31_t)0x22726b8e, + (q31_t)0xa16674b, (q31_t)0x227d0228, (q31_t)0xa1d2de7, (q31_t)0x2287976e, + (q31_t)0xa23f698, (q31_t)0x22922b5e, (q31_t)0xa2ac15b, (q31_t)0x229cbdfa, + (q31_t)0xa318e32, (q31_t)0x22a74f40, (q31_t)0xa385d1d, (q31_t)0x22b1df30, + (q31_t)0xa3f2e19, (q31_t)0x22bc6dca, (q31_t)0xa460129, (q31_t)0x22c6fb0c, + (q31_t)0xa4cd64b, (q31_t)0x22d186f8, (q31_t)0xa53ad7e, (q31_t)0x22dc118c, + (q31_t)0xa5a86c4, (q31_t)0x22e69ac8, (q31_t)0xa61621b, (q31_t)0x22f122ab, + (q31_t)0xa683f83, (q31_t)0x22fba936, (q31_t)0xa6f1efc, (q31_t)0x23062e67, + (q31_t)0xa760086, (q31_t)0x2310b23e, (q31_t)0xa7ce420, (q31_t)0x231b34bc, + (q31_t)0xa83c9ca, (q31_t)0x2325b5df, (q31_t)0xa8ab184, (q31_t)0x233035a7, + (q31_t)0xa919b4e, (q31_t)0x233ab414, (q31_t)0xa988727, (q31_t)0x23453125, + (q31_t)0xa9f750f, (q31_t)0x234facda, (q31_t)0xaa66506, (q31_t)0x235a2733, + (q31_t)0xaad570c, (q31_t)0x2364a02e, (q31_t)0xab44b1f, (q31_t)0x236f17cc, + (q31_t)0xabb4141, (q31_t)0x23798e0d, (q31_t)0xac23971, (q31_t)0x238402ef, + (q31_t)0xac933ae, (q31_t)0x238e7673, (q31_t)0xad02ff8, (q31_t)0x2398e898, + (q31_t)0xad72e4f, (q31_t)0x23a3595e, (q31_t)0xade2eb3, (q31_t)0x23adc8c4, + (q31_t)0xae53123, (q31_t)0x23b836ca, (q31_t)0xaec35a0, (q31_t)0x23c2a36f, + (q31_t)0xaf33c28, (q31_t)0x23cd0eb3, (q31_t)0xafa44bc, (q31_t)0x23d77896, + (q31_t)0xb014f5b, (q31_t)0x23e1e117, (q31_t)0xb085c05, (q31_t)0x23ec4837, + (q31_t)0xb0f6aba, (q31_t)0x23f6adf3, (q31_t)0xb167b79, (q31_t)0x2401124d, + (q31_t)0xb1d8e43, (q31_t)0x240b7543, (q31_t)0xb24a316, (q31_t)0x2415d6d5, + (q31_t)0xb2bb9f4, (q31_t)0x24203704, (q31_t)0xb32d2da, (q31_t)0x242a95ce, + (q31_t)0xb39edca, (q31_t)0x2434f332, (q31_t)0xb410ac3, (q31_t)0x243f4f32, + (q31_t)0xb4829c4, (q31_t)0x2449a9cc, (q31_t)0xb4f4acd, (q31_t)0x245402ff, + (q31_t)0xb566ddf, (q31_t)0x245e5acc, (q31_t)0xb5d92f8, (q31_t)0x2468b132, + (q31_t)0xb64ba19, (q31_t)0x24730631, (q31_t)0xb6be341, (q31_t)0x247d59c8, + (q31_t)0xb730e70, (q31_t)0x2487abf7, (q31_t)0xb7a3ba5, (q31_t)0x2491fcbe, + (q31_t)0xb816ae1, (q31_t)0x249c4c1b, (q31_t)0xb889c23, (q31_t)0x24a69a0f, + (q31_t)0xb8fcf6b, (q31_t)0x24b0e699, (q31_t)0xb9704b9, (q31_t)0x24bb31ba, + (q31_t)0xb9e3c0b, (q31_t)0x24c57b6f, (q31_t)0xba57563, (q31_t)0x24cfc3ba, + (q31_t)0xbacb0bf, (q31_t)0x24da0a9a, (q31_t)0xbb3ee20, (q31_t)0x24e4500e, + (q31_t)0xbbb2d85, (q31_t)0x24ee9415, (q31_t)0xbc26eee, (q31_t)0x24f8d6b0, + (q31_t)0xbc9b25a, (q31_t)0x250317df, (q31_t)0xbd0f7ca, (q31_t)0x250d57a0, + (q31_t)0xbd83f3d, (q31_t)0x251795f3, (q31_t)0xbdf88b3, (q31_t)0x2521d2d8, + (q31_t)0xbe6d42b, (q31_t)0x252c0e4f, (q31_t)0xbee21a5, (q31_t)0x25364857, + (q31_t)0xbf57121, (q31_t)0x254080ef, (q31_t)0xbfcc29f, (q31_t)0x254ab818, + (q31_t)0xc04161e, (q31_t)0x2554edd1, (q31_t)0xc0b6b9e, (q31_t)0x255f2219, + (q31_t)0xc12c31f, (q31_t)0x256954f1, (q31_t)0xc1a1ca0, (q31_t)0x25738657, + (q31_t)0xc217822, (q31_t)0x257db64c, (q31_t)0xc28d5a3, (q31_t)0x2587e4cf, + (q31_t)0xc303524, (q31_t)0x259211df, (q31_t)0xc3796a5, (q31_t)0x259c3d7c, + (q31_t)0xc3efa25, (q31_t)0x25a667a7, (q31_t)0xc465fa3, (q31_t)0x25b0905d, + (q31_t)0xc4dc720, (q31_t)0x25bab7a0, (q31_t)0xc55309b, (q31_t)0x25c4dd6e, + (q31_t)0xc5c9c14, (q31_t)0x25cf01c8, (q31_t)0xc64098b, (q31_t)0x25d924ac, + (q31_t)0xc6b78ff, (q31_t)0x25e3461b, (q31_t)0xc72ea70, (q31_t)0x25ed6614, + (q31_t)0xc7a5dde, (q31_t)0x25f78497, (q31_t)0xc81d349, (q31_t)0x2601a1a2, + (q31_t)0xc894aaf, (q31_t)0x260bbd37, (q31_t)0xc90c412, (q31_t)0x2615d754, + (q31_t)0xc983f70, (q31_t)0x261feffa, (q31_t)0xc9fbcca, (q31_t)0x262a0727, + (q31_t)0xca73c1e, (q31_t)0x26341cdb, (q31_t)0xcaebd6e, (q31_t)0x263e3117, + (q31_t)0xcb640b8, (q31_t)0x264843d9, (q31_t)0xcbdc5fc, (q31_t)0x26525521, + (q31_t)0xcc54d3a, (q31_t)0x265c64ef, (q31_t)0xcccd671, (q31_t)0x26667342, + (q31_t)0xcd461a2, (q31_t)0x2670801a, (q31_t)0xcdbeecc, (q31_t)0x267a8b77, + (q31_t)0xce37def, (q31_t)0x26849558, (q31_t)0xceb0f0a, (q31_t)0x268e9dbd, + (q31_t)0xcf2a21d, (q31_t)0x2698a4a6, (q31_t)0xcfa3729, (q31_t)0x26a2aa11, + (q31_t)0xd01ce2b, (q31_t)0x26acadff, (q31_t)0xd096725, (q31_t)0x26b6b070, + (q31_t)0xd110216, (q31_t)0x26c0b162, (q31_t)0xd189efe, (q31_t)0x26cab0d6, + (q31_t)0xd203ddc, (q31_t)0x26d4aecb, (q31_t)0xd27deb0, (q31_t)0x26deab41, + (q31_t)0xd2f817b, (q31_t)0x26e8a637, (q31_t)0xd37263a, (q31_t)0x26f29fad, + (q31_t)0xd3eccef, (q31_t)0x26fc97a3, (q31_t)0xd467599, (q31_t)0x27068e18, + (q31_t)0xd4e2037, (q31_t)0x2710830c, (q31_t)0xd55ccca, (q31_t)0x271a767e, + (q31_t)0xd5d7b50, (q31_t)0x2724686e, (q31_t)0xd652bcb, (q31_t)0x272e58dc, + (q31_t)0xd6cde39, (q31_t)0x273847c8, (q31_t)0xd74929a, (q31_t)0x27423530, + (q31_t)0xd7c48ee, (q31_t)0x274c2115, (q31_t)0xd840134, (q31_t)0x27560b76, + (q31_t)0xd8bbb6d, (q31_t)0x275ff452, (q31_t)0xd937798, (q31_t)0x2769dbaa, + (q31_t)0xd9b35b4, (q31_t)0x2773c17d, (q31_t)0xda2f5c2, (q31_t)0x277da5cb, + (q31_t)0xdaab7c0, (q31_t)0x27878893, (q31_t)0xdb27bb0, (q31_t)0x279169d5, + (q31_t)0xdba4190, (q31_t)0x279b4990, (q31_t)0xdc20960, (q31_t)0x27a527c4, + (q31_t)0xdc9d320, (q31_t)0x27af0472, (q31_t)0xdd19ed0, (q31_t)0x27b8df97, + (q31_t)0xdd96c6f, (q31_t)0x27c2b934, (q31_t)0xde13bfd, (q31_t)0x27cc9149, + (q31_t)0xde90d79, (q31_t)0x27d667d5, (q31_t)0xdf0e0e4, (q31_t)0x27e03cd8, + (q31_t)0xdf8b63d, (q31_t)0x27ea1052, (q31_t)0xe008d84, (q31_t)0x27f3e241, + (q31_t)0xe0866b8, (q31_t)0x27fdb2a7, (q31_t)0xe1041d9, (q31_t)0x28078181, + (q31_t)0xe181ee8, (q31_t)0x28114ed0, (q31_t)0xe1ffde2, (q31_t)0x281b1a94, + (q31_t)0xe27dec9, (q31_t)0x2824e4cc, (q31_t)0xe2fc19c, (q31_t)0x282ead78, + (q31_t)0xe37a65b, (q31_t)0x28387498, (q31_t)0xe3f8d05, (q31_t)0x28423a2a, + (q31_t)0xe47759a, (q31_t)0x284bfe2f, (q31_t)0xe4f6019, (q31_t)0x2855c0a6, + (q31_t)0xe574c84, (q31_t)0x285f8190, (q31_t)0xe5f3ad8, (q31_t)0x286940ea, + (q31_t)0xe672b16, (q31_t)0x2872feb6, (q31_t)0xe6f1d3d, (q31_t)0x287cbaf3, + (q31_t)0xe77114e, (q31_t)0x288675a0, (q31_t)0xe7f0748, (q31_t)0x28902ebd, + (q31_t)0xe86ff2a, (q31_t)0x2899e64a, (q31_t)0xe8ef8f4, (q31_t)0x28a39c46, + (q31_t)0xe96f4a7, (q31_t)0x28ad50b1, (q31_t)0xe9ef241, (q31_t)0x28b7038b, + (q31_t)0xea6f1c2, (q31_t)0x28c0b4d2, (q31_t)0xeaef32b, (q31_t)0x28ca6488, + (q31_t)0xeb6f67a, (q31_t)0x28d412ab, (q31_t)0xebefbb0, (q31_t)0x28ddbf3b, + (q31_t)0xec702cb, (q31_t)0x28e76a37, (q31_t)0xecf0bcd, (q31_t)0x28f113a0, + (q31_t)0xed716b4, (q31_t)0x28fabb75, (q31_t)0xedf2380, (q31_t)0x290461b5, + (q31_t)0xee73231, (q31_t)0x290e0661, (q31_t)0xeef42c7, (q31_t)0x2917a977, + (q31_t)0xef75541, (q31_t)0x29214af8, (q31_t)0xeff699f, (q31_t)0x292aeae3, + (q31_t)0xf077fe1, (q31_t)0x29348937, (q31_t)0xf0f9805, (q31_t)0x293e25f5, + (q31_t)0xf17b20d, (q31_t)0x2947c11c, (q31_t)0xf1fcdf8, (q31_t)0x29515aab, + (q31_t)0xf27ebc5, (q31_t)0x295af2a3, (q31_t)0xf300b74, (q31_t)0x29648902, + (q31_t)0xf382d05, (q31_t)0x296e1dc9, (q31_t)0xf405077, (q31_t)0x2977b0f7, + (q31_t)0xf4875ca, (q31_t)0x2981428c, (q31_t)0xf509cfe, (q31_t)0x298ad287, + (q31_t)0xf58c613, (q31_t)0x299460e8, (q31_t)0xf60f108, (q31_t)0x299dedaf, + (q31_t)0xf691ddd, (q31_t)0x29a778db, (q31_t)0xf714c91, (q31_t)0x29b1026c, + (q31_t)0xf797d24, (q31_t)0x29ba8a61, (q31_t)0xf81af97, (q31_t)0x29c410ba, + (q31_t)0xf89e3e8, (q31_t)0x29cd9578, (q31_t)0xf921a17, (q31_t)0x29d71899, + (q31_t)0xf9a5225, (q31_t)0x29e09a1c, (q31_t)0xfa28c10, (q31_t)0x29ea1a03, + (q31_t)0xfaac7d8, (q31_t)0x29f3984c, (q31_t)0xfb3057d, (q31_t)0x29fd14f6, + (q31_t)0xfbb4500, (q31_t)0x2a069003, (q31_t)0xfc3865e, (q31_t)0x2a100970, + (q31_t)0xfcbc999, (q31_t)0x2a19813f, (q31_t)0xfd40eaf, (q31_t)0x2a22f76e, + (q31_t)0xfdc55a1, (q31_t)0x2a2c6bfd, (q31_t)0xfe49e6d, (q31_t)0x2a35deeb, + (q31_t)0xfece915, (q31_t)0x2a3f503a, (q31_t)0xff53597, (q31_t)0x2a48bfe7, + (q31_t)0xffd83f4, (q31_t)0x2a522df3, (q31_t)0x1005d42a, (q31_t)0x2a5b9a5d, + (q31_t)0x100e2639, (q31_t)0x2a650525, (q31_t)0x10167a22, (q31_t)0x2a6e6e4b, + (q31_t)0x101ecfe4, (q31_t)0x2a77d5ce, (q31_t)0x1027277e, (q31_t)0x2a813bae, + (q31_t)0x102f80f1, (q31_t)0x2a8a9fea, (q31_t)0x1037dc3b, (q31_t)0x2a940283, + (q31_t)0x1040395d, (q31_t)0x2a9d6377, (q31_t)0x10489856, (q31_t)0x2aa6c2c6, + (q31_t)0x1050f926, (q31_t)0x2ab02071, (q31_t)0x10595bcd, (q31_t)0x2ab97c77, + (q31_t)0x1061c04a, (q31_t)0x2ac2d6d6, (q31_t)0x106a269d, (q31_t)0x2acc2f90, + (q31_t)0x10728ec6, (q31_t)0x2ad586a3, (q31_t)0x107af8c4, (q31_t)0x2adedc10, + (q31_t)0x10836497, (q31_t)0x2ae82fd5, (q31_t)0x108bd23f, (q31_t)0x2af181f3, + (q31_t)0x109441bb, (q31_t)0x2afad269, (q31_t)0x109cb30b, (q31_t)0x2b042137, + (q31_t)0x10a5262f, (q31_t)0x2b0d6e5c, (q31_t)0x10ad9b26, (q31_t)0x2b16b9d9, + (q31_t)0x10b611f1, (q31_t)0x2b2003ac, (q31_t)0x10be8a8d, (q31_t)0x2b294bd5, + (q31_t)0x10c704fd, (q31_t)0x2b329255, (q31_t)0x10cf813e, (q31_t)0x2b3bd72a, + (q31_t)0x10d7ff51, (q31_t)0x2b451a55, (q31_t)0x10e07f36, (q31_t)0x2b4e5bd4, + (q31_t)0x10e900ec, (q31_t)0x2b579ba8, (q31_t)0x10f18472, (q31_t)0x2b60d9d0, + (q31_t)0x10fa09c9, (q31_t)0x2b6a164d, (q31_t)0x110290f0, (q31_t)0x2b73511c, + (q31_t)0x110b19e7, (q31_t)0x2b7c8a3f, (q31_t)0x1113a4ad, (q31_t)0x2b85c1b5, + (q31_t)0x111c3142, (q31_t)0x2b8ef77d, (q31_t)0x1124bfa6, (q31_t)0x2b982b97, + (q31_t)0x112d4fd9, (q31_t)0x2ba15e03, (q31_t)0x1135e1d9, (q31_t)0x2baa8ec0, + (q31_t)0x113e75a8, (q31_t)0x2bb3bdce, (q31_t)0x11470b44, (q31_t)0x2bbceb2d, + (q31_t)0x114fa2ad, (q31_t)0x2bc616dd, (q31_t)0x11583be2, (q31_t)0x2bcf40dc, + (q31_t)0x1160d6e5, (q31_t)0x2bd8692b, (q31_t)0x116973b3, (q31_t)0x2be18fc9, + (q31_t)0x1172124d, (q31_t)0x2beab4b6, (q31_t)0x117ab2b3, (q31_t)0x2bf3d7f2, + (q31_t)0x118354e4, (q31_t)0x2bfcf97c, (q31_t)0x118bf8e0, (q31_t)0x2c061953, + (q31_t)0x11949ea6, (q31_t)0x2c0f3779, (q31_t)0x119d4636, (q31_t)0x2c1853eb, + (q31_t)0x11a5ef90, (q31_t)0x2c216eaa, (q31_t)0x11ae9ab4, (q31_t)0x2c2a87b6, + (q31_t)0x11b747a0, (q31_t)0x2c339f0e, (q31_t)0x11bff656, (q31_t)0x2c3cb4b1, + (q31_t)0x11c8a6d4, (q31_t)0x2c45c8a0, (q31_t)0x11d1591a, (q31_t)0x2c4edada, + (q31_t)0x11da0d28, (q31_t)0x2c57eb5e, (q31_t)0x11e2c2fd, (q31_t)0x2c60fa2d, + (q31_t)0x11eb7a9a, (q31_t)0x2c6a0746, (q31_t)0x11f433fd, (q31_t)0x2c7312a9, + (q31_t)0x11fcef27, (q31_t)0x2c7c1c55, (q31_t)0x1205ac17, (q31_t)0x2c85244a, + (q31_t)0x120e6acc, (q31_t)0x2c8e2a87, (q31_t)0x12172b48, (q31_t)0x2c972f0d, + (q31_t)0x121fed88, (q31_t)0x2ca031da, (q31_t)0x1228b18d, (q31_t)0x2ca932ef, + (q31_t)0x12317756, (q31_t)0x2cb2324c, (q31_t)0x123a3ee4, (q31_t)0x2cbb2fef, + (q31_t)0x12430835, (q31_t)0x2cc42bd9, (q31_t)0x124bd34a, (q31_t)0x2ccd2609, + (q31_t)0x1254a021, (q31_t)0x2cd61e7f, (q31_t)0x125d6ebc, (q31_t)0x2cdf153a, + (q31_t)0x12663f19, (q31_t)0x2ce80a3a, (q31_t)0x126f1138, (q31_t)0x2cf0fd80, + (q31_t)0x1277e518, (q31_t)0x2cf9ef09, (q31_t)0x1280babb, (q31_t)0x2d02ded7, + (q31_t)0x1289921e, (q31_t)0x2d0bcce8, (q31_t)0x12926b41, (q31_t)0x2d14b93d, + (q31_t)0x129b4626, (q31_t)0x2d1da3d5, (q31_t)0x12a422ca, (q31_t)0x2d268cb0, + (q31_t)0x12ad012e, (q31_t)0x2d2f73cd, (q31_t)0x12b5e151, (q31_t)0x2d38592c, + (q31_t)0x12bec333, (q31_t)0x2d413ccd, (q31_t)0x12c7a6d4, (q31_t)0x2d4a1eaf, + (q31_t)0x12d08c33, (q31_t)0x2d52fed2, (q31_t)0x12d97350, (q31_t)0x2d5bdd36, + (q31_t)0x12e25c2b, (q31_t)0x2d64b9da, (q31_t)0x12eb46c3, (q31_t)0x2d6d94bf, + (q31_t)0x12f43318, (q31_t)0x2d766de2, (q31_t)0x12fd2129, (q31_t)0x2d7f4545, + (q31_t)0x130610f7, (q31_t)0x2d881ae8, (q31_t)0x130f0280, (q31_t)0x2d90eec8, + (q31_t)0x1317f5c6, (q31_t)0x2d99c0e7, (q31_t)0x1320eac6, (q31_t)0x2da29144, + (q31_t)0x1329e181, (q31_t)0x2dab5fdf, (q31_t)0x1332d9f7, (q31_t)0x2db42cb6, + (q31_t)0x133bd427, (q31_t)0x2dbcf7cb, (q31_t)0x1344d011, (q31_t)0x2dc5c11c, + (q31_t)0x134dcdb4, (q31_t)0x2dce88aa, (q31_t)0x1356cd11, (q31_t)0x2dd74e73, + (q31_t)0x135fce26, (q31_t)0x2de01278, (q31_t)0x1368d0f3, (q31_t)0x2de8d4b8, + (q31_t)0x1371d579, (q31_t)0x2df19534, (q31_t)0x137adbb6, (q31_t)0x2dfa53e9, + (q31_t)0x1383e3ab, (q31_t)0x2e0310d9, (q31_t)0x138ced57, (q31_t)0x2e0bcc03, + (q31_t)0x1395f8ba, (q31_t)0x2e148566, (q31_t)0x139f05d3, (q31_t)0x2e1d3d03, + (q31_t)0x13a814a2, (q31_t)0x2e25f2d8, (q31_t)0x13b12526, (q31_t)0x2e2ea6e6, + (q31_t)0x13ba3760, (q31_t)0x2e37592c, (q31_t)0x13c34b4f, (q31_t)0x2e4009aa, + (q31_t)0x13cc60f2, (q31_t)0x2e48b860, (q31_t)0x13d5784a, (q31_t)0x2e51654c, + (q31_t)0x13de9156, (q31_t)0x2e5a1070, (q31_t)0x13e7ac15, (q31_t)0x2e62b9ca, + (q31_t)0x13f0c887, (q31_t)0x2e6b615a, (q31_t)0x13f9e6ad, (q31_t)0x2e740720, + (q31_t)0x14030684, (q31_t)0x2e7cab1c, (q31_t)0x140c280e, (q31_t)0x2e854d4d, + (q31_t)0x14154b4a, (q31_t)0x2e8dedb3, (q31_t)0x141e7037, (q31_t)0x2e968c4d, + (q31_t)0x142796d5, (q31_t)0x2e9f291b, (q31_t)0x1430bf24, (q31_t)0x2ea7c41e, + (q31_t)0x1439e923, (q31_t)0x2eb05d53, (q31_t)0x144314d3, (q31_t)0x2eb8f4bc, + (q31_t)0x144c4232, (q31_t)0x2ec18a58, (q31_t)0x14557140, (q31_t)0x2eca1e27, + (q31_t)0x145ea1fd, (q31_t)0x2ed2b027, (q31_t)0x1467d469, (q31_t)0x2edb405a, + (q31_t)0x14710883, (q31_t)0x2ee3cebe, (q31_t)0x147a3e4b, (q31_t)0x2eec5b53, + (q31_t)0x148375c1, (q31_t)0x2ef4e619, (q31_t)0x148caee4, (q31_t)0x2efd6f10, + (q31_t)0x1495e9b3, (q31_t)0x2f05f637, (q31_t)0x149f2630, (q31_t)0x2f0e7b8e, + (q31_t)0x14a86458, (q31_t)0x2f16ff14, (q31_t)0x14b1a42c, (q31_t)0x2f1f80ca, + (q31_t)0x14bae5ab, (q31_t)0x2f2800af, (q31_t)0x14c428d6, (q31_t)0x2f307ec2, + (q31_t)0x14cd6dab, (q31_t)0x2f38fb03, (q31_t)0x14d6b42b, (q31_t)0x2f417573, + (q31_t)0x14dffc54, (q31_t)0x2f49ee0f, (q31_t)0x14e94627, (q31_t)0x2f5264da, + (q31_t)0x14f291a4, (q31_t)0x2f5ad9d1, (q31_t)0x14fbdec9, (q31_t)0x2f634cf5, + (q31_t)0x15052d97, (q31_t)0x2f6bbe45, (q31_t)0x150e7e0d, (q31_t)0x2f742dc1, + (q31_t)0x1517d02b, (q31_t)0x2f7c9b69, (q31_t)0x152123f0, (q31_t)0x2f85073c, + (q31_t)0x152a795d, (q31_t)0x2f8d713a, (q31_t)0x1533d070, (q31_t)0x2f95d963, + (q31_t)0x153d292a, (q31_t)0x2f9e3fb6, (q31_t)0x15468389, (q31_t)0x2fa6a433, + (q31_t)0x154fdf8f, (q31_t)0x2faf06da, (q31_t)0x15593d3a, (q31_t)0x2fb767aa, + (q31_t)0x15629c89, (q31_t)0x2fbfc6a3, (q31_t)0x156bfd7d, (q31_t)0x2fc823c5, + (q31_t)0x15756016, (q31_t)0x2fd07f0f, (q31_t)0x157ec452, (q31_t)0x2fd8d882, + (q31_t)0x15882a32, (q31_t)0x2fe1301c, (q31_t)0x159191b5, (q31_t)0x2fe985de, + (q31_t)0x159afadb, (q31_t)0x2ff1d9c7, (q31_t)0x15a465a3, (q31_t)0x2ffa2bd6, + (q31_t)0x15add20d, (q31_t)0x30027c0c, (q31_t)0x15b74019, (q31_t)0x300aca69, + (q31_t)0x15c0afc6, (q31_t)0x301316eb, (q31_t)0x15ca2115, (q31_t)0x301b6193, + (q31_t)0x15d39403, (q31_t)0x3023aa5f, (q31_t)0x15dd0892, (q31_t)0x302bf151, + (q31_t)0x15e67ec1, (q31_t)0x30343667, (q31_t)0x15eff690, (q31_t)0x303c79a2, + (q31_t)0x15f96ffd, (q31_t)0x3044bb00, (q31_t)0x1602eb0a, (q31_t)0x304cfa83, + (q31_t)0x160c67b4, (q31_t)0x30553828, (q31_t)0x1615e5fd, (q31_t)0x305d73f0, + (q31_t)0x161f65e4, (q31_t)0x3065addb, (q31_t)0x1628e767, (q31_t)0x306de5e9, + (q31_t)0x16326a88, (q31_t)0x30761c18, (q31_t)0x163bef46, (q31_t)0x307e5069, + (q31_t)0x1645759f, (q31_t)0x308682dc, (q31_t)0x164efd94, (q31_t)0x308eb36f, + (q31_t)0x16588725, (q31_t)0x3096e223, (q31_t)0x16621251, (q31_t)0x309f0ef8, + (q31_t)0x166b9f18, (q31_t)0x30a739ed, (q31_t)0x16752d79, (q31_t)0x30af6302, + (q31_t)0x167ebd74, (q31_t)0x30b78a36, (q31_t)0x16884f09, (q31_t)0x30bfaf89, + (q31_t)0x1691e237, (q31_t)0x30c7d2fb, (q31_t)0x169b76fe, (q31_t)0x30cff48c, + (q31_t)0x16a50d5d, (q31_t)0x30d8143b, (q31_t)0x16aea555, (q31_t)0x30e03208, + (q31_t)0x16b83ee4, (q31_t)0x30e84df3, (q31_t)0x16c1da0b, (q31_t)0x30f067fb, + (q31_t)0x16cb76c9, (q31_t)0x30f8801f, (q31_t)0x16d5151d, (q31_t)0x31009661, + (q31_t)0x16deb508, (q31_t)0x3108aabf, (q31_t)0x16e85689, (q31_t)0x3110bd39, + (q31_t)0x16f1f99f, (q31_t)0x3118cdcf, (q31_t)0x16fb9e4b, (q31_t)0x3120dc80, + (q31_t)0x1705448b, (q31_t)0x3128e94c, (q31_t)0x170eec60, (q31_t)0x3130f433, + (q31_t)0x171895c9, (q31_t)0x3138fd35, (q31_t)0x172240c5, (q31_t)0x31410450, + (q31_t)0x172bed55, (q31_t)0x31490986, (q31_t)0x17359b78, (q31_t)0x31510cd5, + (q31_t)0x173f4b2e, (q31_t)0x31590e3e, (q31_t)0x1748fc75, (q31_t)0x31610dbf, + (q31_t)0x1752af4f, (q31_t)0x31690b59, (q31_t)0x175c63ba, (q31_t)0x3171070c, + (q31_t)0x176619b6, (q31_t)0x317900d6, (q31_t)0x176fd143, (q31_t)0x3180f8b8, + (q31_t)0x17798a60, (q31_t)0x3188eeb2, (q31_t)0x1783450d, (q31_t)0x3190e2c3, + (q31_t)0x178d014a, (q31_t)0x3198d4ea, (q31_t)0x1796bf16, (q31_t)0x31a0c528, + (q31_t)0x17a07e70, (q31_t)0x31a8b37c, (q31_t)0x17aa3f5a, (q31_t)0x31b09fe7, + (q31_t)0x17b401d1, (q31_t)0x31b88a66, (q31_t)0x17bdc5d6, (q31_t)0x31c072fb, + (q31_t)0x17c78b68, (q31_t)0x31c859a5, (q31_t)0x17d15288, (q31_t)0x31d03e64, + (q31_t)0x17db1b34, (q31_t)0x31d82137, (q31_t)0x17e4e56c, (q31_t)0x31e0021e, + (q31_t)0x17eeb130, (q31_t)0x31e7e118, (q31_t)0x17f87e7f, (q31_t)0x31efbe27, + (q31_t)0x18024d59, (q31_t)0x31f79948, (q31_t)0x180c1dbf, (q31_t)0x31ff727c, + (q31_t)0x1815efae, (q31_t)0x320749c3, (q31_t)0x181fc328, (q31_t)0x320f1f1c, + (q31_t)0x1829982b, (q31_t)0x3216f287, (q31_t)0x18336eb7, (q31_t)0x321ec403, + (q31_t)0x183d46cc, (q31_t)0x32269391, (q31_t)0x18472069, (q31_t)0x322e6130, + (q31_t)0x1850fb8e, (q31_t)0x32362ce0, (q31_t)0x185ad83c, (q31_t)0x323df6a0, + (q31_t)0x1864b670, (q31_t)0x3245be70, (q31_t)0x186e962b, (q31_t)0x324d8450, + (q31_t)0x1878776d, (q31_t)0x32554840, (q31_t)0x18825a35, (q31_t)0x325d0a3e, + (q31_t)0x188c3e83, (q31_t)0x3264ca4c, (q31_t)0x18962456, (q31_t)0x326c8868, + (q31_t)0x18a00bae, (q31_t)0x32744493, (q31_t)0x18a9f48a, (q31_t)0x327bfecc, + (q31_t)0x18b3deeb, (q31_t)0x3283b712, (q31_t)0x18bdcad0, (q31_t)0x328b6d66, + (q31_t)0x18c7b838, (q31_t)0x329321c7, (q31_t)0x18d1a724, (q31_t)0x329ad435, + (q31_t)0x18db9792, (q31_t)0x32a284b0, (q31_t)0x18e58982, (q31_t)0x32aa3336, + (q31_t)0x18ef7cf4, (q31_t)0x32b1dfc9, (q31_t)0x18f971e8, (q31_t)0x32b98a67, + (q31_t)0x1903685d, (q31_t)0x32c13311, (q31_t)0x190d6053, (q31_t)0x32c8d9c6, + (q31_t)0x191759c9, (q31_t)0x32d07e85, (q31_t)0x192154bf, (q31_t)0x32d82150, + (q31_t)0x192b5135, (q31_t)0x32dfc224, (q31_t)0x19354f2a, (q31_t)0x32e76102, + (q31_t)0x193f4e9e, (q31_t)0x32eefdea, (q31_t)0x19494f90, (q31_t)0x32f698db, + (q31_t)0x19535201, (q31_t)0x32fe31d5, (q31_t)0x195d55ef, (q31_t)0x3305c8d7, + (q31_t)0x19675b5a, (q31_t)0x330d5de3, (q31_t)0x19716243, (q31_t)0x3314f0f6, + (q31_t)0x197b6aa8, (q31_t)0x331c8211, (q31_t)0x19857489, (q31_t)0x33241134, + (q31_t)0x198f7fe6, (q31_t)0x332b9e5e, (q31_t)0x19998cbe, (q31_t)0x3333298f, + (q31_t)0x19a39b11, (q31_t)0x333ab2c6, (q31_t)0x19adaadf, (q31_t)0x33423a04, + (q31_t)0x19b7bc27, (q31_t)0x3349bf48, (q31_t)0x19c1cee9, (q31_t)0x33514292, + (q31_t)0x19cbe325, (q31_t)0x3358c3e2, (q31_t)0x19d5f8d9, (q31_t)0x33604336, + (q31_t)0x19e01006, (q31_t)0x3367c090, (q31_t)0x19ea28ac, (q31_t)0x336f3bee, + (q31_t)0x19f442c9, (q31_t)0x3376b551, (q31_t)0x19fe5e5e, (q31_t)0x337e2cb7, + (q31_t)0x1a087b69, (q31_t)0x3385a222, (q31_t)0x1a1299ec, (q31_t)0x338d1590, + (q31_t)0x1a1cb9e5, (q31_t)0x33948701, (q31_t)0x1a26db54, (q31_t)0x339bf675, + (q31_t)0x1a30fe38, (q31_t)0x33a363ec, (q31_t)0x1a3b2292, (q31_t)0x33aacf65, + (q31_t)0x1a454860, (q31_t)0x33b238e0, (q31_t)0x1a4f6fa3, (q31_t)0x33b9a05d, + (q31_t)0x1a599859, (q31_t)0x33c105db, (q31_t)0x1a63c284, (q31_t)0x33c8695b, + (q31_t)0x1a6dee21, (q31_t)0x33cfcadc, (q31_t)0x1a781b31, (q31_t)0x33d72a5d, + (q31_t)0x1a8249b4, (q31_t)0x33de87de, (q31_t)0x1a8c79a9, (q31_t)0x33e5e360, + (q31_t)0x1a96ab0f, (q31_t)0x33ed3ce1, (q31_t)0x1aa0dde7, (q31_t)0x33f49462, + (q31_t)0x1aab122f, (q31_t)0x33fbe9e2, (q31_t)0x1ab547e8, (q31_t)0x34033d61, + (q31_t)0x1abf7f11, (q31_t)0x340a8edf, (q31_t)0x1ac9b7a9, (q31_t)0x3411de5b, + (q31_t)0x1ad3f1b1, (q31_t)0x34192bd5, (q31_t)0x1ade2d28, (q31_t)0x3420774d, + (q31_t)0x1ae86a0d, (q31_t)0x3427c0c3, (q31_t)0x1af2a860, (q31_t)0x342f0836, + (q31_t)0x1afce821, (q31_t)0x34364da6, (q31_t)0x1b072950, (q31_t)0x343d9112, + (q31_t)0x1b116beb, (q31_t)0x3444d27b, (q31_t)0x1b1baff2, (q31_t)0x344c11e0, + (q31_t)0x1b25f566, (q31_t)0x34534f41, (q31_t)0x1b303c46, (q31_t)0x345a8a9d, + (q31_t)0x1b3a8491, (q31_t)0x3461c3f5, (q31_t)0x1b44ce46, (q31_t)0x3468fb47, + (q31_t)0x1b4f1967, (q31_t)0x34703095, (q31_t)0x1b5965f1, (q31_t)0x347763dd, + (q31_t)0x1b63b3e5, (q31_t)0x347e951f, (q31_t)0x1b6e0342, (q31_t)0x3485c45b, + (q31_t)0x1b785409, (q31_t)0x348cf190, (q31_t)0x1b82a638, (q31_t)0x34941cbf, + (q31_t)0x1b8cf9cf, (q31_t)0x349b45e7, (q31_t)0x1b974ece, (q31_t)0x34a26d08, + (q31_t)0x1ba1a534, (q31_t)0x34a99221, (q31_t)0x1babfd01, (q31_t)0x34b0b533, + (q31_t)0x1bb65634, (q31_t)0x34b7d63c, (q31_t)0x1bc0b0ce, (q31_t)0x34bef53d, + (q31_t)0x1bcb0cce, (q31_t)0x34c61236, (q31_t)0x1bd56a32, (q31_t)0x34cd2d26, + (q31_t)0x1bdfc8fc, (q31_t)0x34d4460c, (q31_t)0x1bea292b, (q31_t)0x34db5cea, + (q31_t)0x1bf48abd, (q31_t)0x34e271bd, (q31_t)0x1bfeedb3, (q31_t)0x34e98487, + (q31_t)0x1c09520d, (q31_t)0x34f09546, (q31_t)0x1c13b7c9, (q31_t)0x34f7a3fb, + (q31_t)0x1c1e1ee9, (q31_t)0x34feb0a5, (q31_t)0x1c28876a, (q31_t)0x3505bb44, + (q31_t)0x1c32f14d, (q31_t)0x350cc3d8, (q31_t)0x1c3d5c91, (q31_t)0x3513ca60, + (q31_t)0x1c47c936, (q31_t)0x351acedd, (q31_t)0x1c52373c, (q31_t)0x3521d14d, + (q31_t)0x1c5ca6a2, (q31_t)0x3528d1b1, (q31_t)0x1c671768, (q31_t)0x352fd008, + (q31_t)0x1c71898d, (q31_t)0x3536cc52, (q31_t)0x1c7bfd11, (q31_t)0x353dc68f, + (q31_t)0x1c8671f3, (q31_t)0x3544bebf, (q31_t)0x1c90e834, (q31_t)0x354bb4e1, + (q31_t)0x1c9b5fd2, (q31_t)0x3552a8f4, (q31_t)0x1ca5d8cd, (q31_t)0x35599afa, + (q31_t)0x1cb05326, (q31_t)0x35608af1, (q31_t)0x1cbacedb, (q31_t)0x356778d9, + (q31_t)0x1cc54bec, (q31_t)0x356e64b2, (q31_t)0x1ccfca59, (q31_t)0x35754e7c, + (q31_t)0x1cda4a21, (q31_t)0x357c3636, (q31_t)0x1ce4cb44, (q31_t)0x35831be0, + (q31_t)0x1cef4dc2, (q31_t)0x3589ff7a, (q31_t)0x1cf9d199, (q31_t)0x3590e104, + (q31_t)0x1d0456ca, (q31_t)0x3597c07d, (q31_t)0x1d0edd55, (q31_t)0x359e9de5, + (q31_t)0x1d196538, (q31_t)0x35a5793c, (q31_t)0x1d23ee74, (q31_t)0x35ac5282, + (q31_t)0x1d2e7908, (q31_t)0x35b329b5, (q31_t)0x1d3904f4, (q31_t)0x35b9fed7, + (q31_t)0x1d439236, (q31_t)0x35c0d1e7, (q31_t)0x1d4e20d0, (q31_t)0x35c7a2e3, + (q31_t)0x1d58b0c0, (q31_t)0x35ce71ce, (q31_t)0x1d634206, (q31_t)0x35d53ea5, + (q31_t)0x1d6dd4a2, (q31_t)0x35dc0968, (q31_t)0x1d786892, (q31_t)0x35e2d219, + (q31_t)0x1d82fdd8, (q31_t)0x35e998b5, (q31_t)0x1d8d9472, (q31_t)0x35f05d3d, + (q31_t)0x1d982c60, (q31_t)0x35f71fb1, (q31_t)0x1da2c5a2, (q31_t)0x35fde011, + (q31_t)0x1dad6036, (q31_t)0x36049e5b, (q31_t)0x1db7fc1e, (q31_t)0x360b5a90, + (q31_t)0x1dc29958, (q31_t)0x361214b0, (q31_t)0x1dcd37e4, (q31_t)0x3618ccba, + (q31_t)0x1dd7d7c1, (q31_t)0x361f82af, (q31_t)0x1de278ef, (q31_t)0x3626368d, + (q31_t)0x1ded1b6e, (q31_t)0x362ce855, (q31_t)0x1df7bf3e, (q31_t)0x36339806, + (q31_t)0x1e02645d, (q31_t)0x363a45a0, (q31_t)0x1e0d0acc, (q31_t)0x3640f123, + (q31_t)0x1e17b28a, (q31_t)0x36479a8e, (q31_t)0x1e225b96, (q31_t)0x364e41e2, + (q31_t)0x1e2d05f1, (q31_t)0x3654e71d, (q31_t)0x1e37b199, (q31_t)0x365b8a41, + (q31_t)0x1e425e8f, (q31_t)0x36622b4c, (q31_t)0x1e4d0cd2, (q31_t)0x3668ca3e, + (q31_t)0x1e57bc62, (q31_t)0x366f6717, (q31_t)0x1e626d3e, (q31_t)0x367601d7, + (q31_t)0x1e6d1f65, (q31_t)0x367c9a7e, (q31_t)0x1e77d2d8, (q31_t)0x3683310b, + (q31_t)0x1e828796, (q31_t)0x3689c57d, (q31_t)0x1e8d3d9e, (q31_t)0x369057d6, + (q31_t)0x1e97f4f1, (q31_t)0x3696e814, (q31_t)0x1ea2ad8d, (q31_t)0x369d7637, + (q31_t)0x1ead6773, (q31_t)0x36a4023f, (q31_t)0x1eb822a1, (q31_t)0x36aa8c2c, + (q31_t)0x1ec2df18, (q31_t)0x36b113fd, (q31_t)0x1ecd9cd7, (q31_t)0x36b799b3, + (q31_t)0x1ed85bdd, (q31_t)0x36be1d4c, (q31_t)0x1ee31c2b, (q31_t)0x36c49ec9, + (q31_t)0x1eedddc0, (q31_t)0x36cb1e2a, (q31_t)0x1ef8a09b, (q31_t)0x36d19b6e, + (q31_t)0x1f0364bc, (q31_t)0x36d81695, (q31_t)0x1f0e2a22, (q31_t)0x36de8f9e, + (q31_t)0x1f18f0ce, (q31_t)0x36e5068a, (q31_t)0x1f23b8be, (q31_t)0x36eb7b58, + (q31_t)0x1f2e81f3, (q31_t)0x36f1ee09, (q31_t)0x1f394c6b, (q31_t)0x36f85e9a, + (q31_t)0x1f441828, (q31_t)0x36fecd0e, (q31_t)0x1f4ee527, (q31_t)0x37053962, + (q31_t)0x1f59b369, (q31_t)0x370ba398, (q31_t)0x1f6482ed, (q31_t)0x37120bae, + (q31_t)0x1f6f53b3, (q31_t)0x371871a5, (q31_t)0x1f7a25ba, (q31_t)0x371ed57c, + (q31_t)0x1f84f902, (q31_t)0x37253733, (q31_t)0x1f8fcd8b, (q31_t)0x372b96ca, + (q31_t)0x1f9aa354, (q31_t)0x3731f440, (q31_t)0x1fa57a5d, (q31_t)0x37384f95, + (q31_t)0x1fb052a5, (q31_t)0x373ea8ca, (q31_t)0x1fbb2c2c, (q31_t)0x3744ffdd, + (q31_t)0x1fc606f1, (q31_t)0x374b54ce, (q31_t)0x1fd0e2f5, (q31_t)0x3751a79e, + (q31_t)0x1fdbc036, (q31_t)0x3757f84c, (q31_t)0x1fe69eb4, (q31_t)0x375e46d8, + (q31_t)0x1ff17e70, (q31_t)0x37649341, (q31_t)0x1ffc5f67, (q31_t)0x376add88, + (q31_t)0x2007419b, (q31_t)0x377125ac, (q31_t)0x2012250a, (q31_t)0x37776bac, + (q31_t)0x201d09b4, (q31_t)0x377daf89, (q31_t)0x2027ef99, (q31_t)0x3783f143, + (q31_t)0x2032d6b8, (q31_t)0x378a30d8, (q31_t)0x203dbf11, (q31_t)0x37906e49, + (q31_t)0x2048a8a4, (q31_t)0x3796a996, (q31_t)0x2053936f, (q31_t)0x379ce2be, + (q31_t)0x205e7f74, (q31_t)0x37a319c2, (q31_t)0x20696cb0, (q31_t)0x37a94ea0, + (q31_t)0x20745b24, (q31_t)0x37af8159, (q31_t)0x207f4acf, (q31_t)0x37b5b1ec, + (q31_t)0x208a3bb2, (q31_t)0x37bbe05a, (q31_t)0x20952dcb, (q31_t)0x37c20ca1, + (q31_t)0x20a0211a, (q31_t)0x37c836c2, (q31_t)0x20ab159e, (q31_t)0x37ce5ebd, + (q31_t)0x20b60b58, (q31_t)0x37d48490, (q31_t)0x20c10247, (q31_t)0x37daa83d, + (q31_t)0x20cbfa6a, (q31_t)0x37e0c9c3, (q31_t)0x20d6f3c1, (q31_t)0x37e6e921, + (q31_t)0x20e1ee4b, (q31_t)0x37ed0657, (q31_t)0x20ecea09, (q31_t)0x37f32165, + (q31_t)0x20f7e6f9, (q31_t)0x37f93a4b, (q31_t)0x2102e51c, (q31_t)0x37ff5109, + (q31_t)0x210de470, (q31_t)0x3805659e, (q31_t)0x2118e4f6, (q31_t)0x380b780a, + (q31_t)0x2123e6ad, (q31_t)0x3811884d, (q31_t)0x212ee995, (q31_t)0x38179666, + (q31_t)0x2139edac, (q31_t)0x381da256, (q31_t)0x2144f2f3, (q31_t)0x3823ac1d, + (q31_t)0x214ff96a, (q31_t)0x3829b3b9, (q31_t)0x215b0110, (q31_t)0x382fb92a, + (q31_t)0x216609e3, (q31_t)0x3835bc71, (q31_t)0x217113e5, (q31_t)0x383bbd8e, + (q31_t)0x217c1f15, (q31_t)0x3841bc7f, (q31_t)0x21872b72, (q31_t)0x3847b946, + (q31_t)0x219238fb, (q31_t)0x384db3e0, (q31_t)0x219d47b1, (q31_t)0x3853ac4f, + (q31_t)0x21a85793, (q31_t)0x3859a292, (q31_t)0x21b368a0, (q31_t)0x385f96a9, + (q31_t)0x21be7ad8, (q31_t)0x38658894, (q31_t)0x21c98e3b, (q31_t)0x386b7852, + (q31_t)0x21d4a2c8, (q31_t)0x387165e3, (q31_t)0x21dfb87f, (q31_t)0x38775147, + (q31_t)0x21eacf5f, (q31_t)0x387d3a7e, (q31_t)0x21f5e768, (q31_t)0x38832187, + (q31_t)0x22010099, (q31_t)0x38890663, (q31_t)0x220c1af3, (q31_t)0x388ee910, + (q31_t)0x22173674, (q31_t)0x3894c98f, (q31_t)0x2222531c, (q31_t)0x389aa7e0, + (q31_t)0x222d70eb, (q31_t)0x38a08402, (q31_t)0x22388fe1, (q31_t)0x38a65df6, + (q31_t)0x2243affc, (q31_t)0x38ac35ba, (q31_t)0x224ed13d, (q31_t)0x38b20b4f, + (q31_t)0x2259f3a3, (q31_t)0x38b7deb4, (q31_t)0x2265172e, (q31_t)0x38bdafea, + (q31_t)0x22703bdc, (q31_t)0x38c37eef, (q31_t)0x227b61af, (q31_t)0x38c94bc4, + (q31_t)0x228688a4, (q31_t)0x38cf1669, (q31_t)0x2291b0bd, (q31_t)0x38d4dedd, + (q31_t)0x229cd9f8, (q31_t)0x38daa520, (q31_t)0x22a80456, (q31_t)0x38e06932, + (q31_t)0x22b32fd4, (q31_t)0x38e62b13, (q31_t)0x22be5c74, (q31_t)0x38ebeac2, + (q31_t)0x22c98a35, (q31_t)0x38f1a840, (q31_t)0x22d4b916, (q31_t)0x38f7638b, + (q31_t)0x22dfe917, (q31_t)0x38fd1ca4, (q31_t)0x22eb1a37, (q31_t)0x3902d38b, + (q31_t)0x22f64c77, (q31_t)0x3908883f, (q31_t)0x23017fd5, (q31_t)0x390e3ac0, + (q31_t)0x230cb451, (q31_t)0x3913eb0e, (q31_t)0x2317e9eb, (q31_t)0x39199929, + (q31_t)0x232320a2, (q31_t)0x391f4510, (q31_t)0x232e5876, (q31_t)0x3924eec3, + (q31_t)0x23399167, (q31_t)0x392a9642, (q31_t)0x2344cb73, (q31_t)0x39303b8e, + (q31_t)0x2350069b, (q31_t)0x3935dea4, (q31_t)0x235b42df, (q31_t)0x393b7f86, + (q31_t)0x2366803c, (q31_t)0x39411e33, (q31_t)0x2371beb5, (q31_t)0x3946baac, + (q31_t)0x237cfe47, (q31_t)0x394c54ee, (q31_t)0x23883ef2, (q31_t)0x3951ecfc, + (q31_t)0x239380b6, (q31_t)0x395782d3, (q31_t)0x239ec393, (q31_t)0x395d1675, + (q31_t)0x23aa0788, (q31_t)0x3962a7e0, (q31_t)0x23b54c95, (q31_t)0x39683715, + (q31_t)0x23c092b9, (q31_t)0x396dc414, (q31_t)0x23cbd9f4, (q31_t)0x39734edc, + (q31_t)0x23d72245, (q31_t)0x3978d76c, (q31_t)0x23e26bac, (q31_t)0x397e5dc6, + (q31_t)0x23edb628, (q31_t)0x3983e1e8, (q31_t)0x23f901ba, (q31_t)0x398963d2, + (q31_t)0x24044e60, (q31_t)0x398ee385, (q31_t)0x240f9c1a, (q31_t)0x399460ff, + (q31_t)0x241aeae8, (q31_t)0x3999dc42, (q31_t)0x24263ac9, (q31_t)0x399f554b, + (q31_t)0x24318bbe, (q31_t)0x39a4cc1c, (q31_t)0x243cddc4, (q31_t)0x39aa40b4, + (q31_t)0x244830dd, (q31_t)0x39afb313, (q31_t)0x24538507, (q31_t)0x39b52339, + (q31_t)0x245eda43, (q31_t)0x39ba9125, (q31_t)0x246a308f, (q31_t)0x39bffcd7, + (q31_t)0x247587eb, (q31_t)0x39c5664f, (q31_t)0x2480e057, (q31_t)0x39cacd8d, + (q31_t)0x248c39d3, (q31_t)0x39d03291, (q31_t)0x2497945d, (q31_t)0x39d5955a, + (q31_t)0x24a2eff6, (q31_t)0x39daf5e8, (q31_t)0x24ae4c9d, (q31_t)0x39e0543c, + (q31_t)0x24b9aa52, (q31_t)0x39e5b054, (q31_t)0x24c50914, (q31_t)0x39eb0a31, + (q31_t)0x24d068e2, (q31_t)0x39f061d2, (q31_t)0x24dbc9bd, (q31_t)0x39f5b737, + (q31_t)0x24e72ba4, (q31_t)0x39fb0a60, (q31_t)0x24f28e96, (q31_t)0x3a005b4d, + (q31_t)0x24fdf294, (q31_t)0x3a05a9fd, (q31_t)0x2509579b, (q31_t)0x3a0af671, + (q31_t)0x2514bdad, (q31_t)0x3a1040a8, (q31_t)0x252024c9, (q31_t)0x3a1588a2, + (q31_t)0x252b8cee, (q31_t)0x3a1ace5f, (q31_t)0x2536f61b, (q31_t)0x3a2011de, + (q31_t)0x25426051, (q31_t)0x3a25531f, (q31_t)0x254dcb8f, (q31_t)0x3a2a9223, + (q31_t)0x255937d5, (q31_t)0x3a2fcee8, (q31_t)0x2564a521, (q31_t)0x3a350970, + (q31_t)0x25701374, (q31_t)0x3a3a41b9, (q31_t)0x257b82cd, (q31_t)0x3a3f77c3, + (q31_t)0x2586f32c, (q31_t)0x3a44ab8e, (q31_t)0x25926490, (q31_t)0x3a49dd1a, + (q31_t)0x259dd6f9, (q31_t)0x3a4f0c67, (q31_t)0x25a94a67, (q31_t)0x3a543974, + (q31_t)0x25b4bed8, (q31_t)0x3a596442, (q31_t)0x25c0344d, (q31_t)0x3a5e8cd0, + (q31_t)0x25cbaac5, (q31_t)0x3a63b31d, (q31_t)0x25d72240, (q31_t)0x3a68d72b, + (q31_t)0x25e29abc, (q31_t)0x3a6df8f8, (q31_t)0x25ee143b, (q31_t)0x3a731884, + (q31_t)0x25f98ebb, (q31_t)0x3a7835cf, (q31_t)0x26050a3b, (q31_t)0x3a7d50da, + (q31_t)0x261086bc, (q31_t)0x3a8269a3, (q31_t)0x261c043d, (q31_t)0x3a87802a, + (q31_t)0x262782be, (q31_t)0x3a8c9470, (q31_t)0x2633023e, (q31_t)0x3a91a674, + (q31_t)0x263e82bc, (q31_t)0x3a96b636, (q31_t)0x264a0438, (q31_t)0x3a9bc3b6, + (q31_t)0x265586b3, (q31_t)0x3aa0cef3, (q31_t)0x26610a2a, (q31_t)0x3aa5d7ee, + (q31_t)0x266c8e9f, (q31_t)0x3aaadea6, (q31_t)0x26781410, (q31_t)0x3aafe31b, + (q31_t)0x26839a7c, (q31_t)0x3ab4e54c, (q31_t)0x268f21e5, (q31_t)0x3ab9e53a, + (q31_t)0x269aaa48, (q31_t)0x3abee2e5, (q31_t)0x26a633a6, (q31_t)0x3ac3de4c, + (q31_t)0x26b1bdff, (q31_t)0x3ac8d76f, (q31_t)0x26bd4951, (q31_t)0x3acdce4d, + (q31_t)0x26c8d59c, (q31_t)0x3ad2c2e8, (q31_t)0x26d462e1, (q31_t)0x3ad7b53d, + (q31_t)0x26dff11d, (q31_t)0x3adca54e, (q31_t)0x26eb8052, (q31_t)0x3ae1931a, + (q31_t)0x26f7107e, (q31_t)0x3ae67ea1, (q31_t)0x2702a1a1, (q31_t)0x3aeb67e3, + (q31_t)0x270e33bb, (q31_t)0x3af04edf, (q31_t)0x2719c6cb, (q31_t)0x3af53395, + (q31_t)0x27255ad1, (q31_t)0x3afa1605, (q31_t)0x2730efcc, (q31_t)0x3afef630, + (q31_t)0x273c85bc, (q31_t)0x3b03d414, (q31_t)0x27481ca1, (q31_t)0x3b08afb2, + (q31_t)0x2753b479, (q31_t)0x3b0d8909, (q31_t)0x275f4d45, (q31_t)0x3b126019, + (q31_t)0x276ae704, (q31_t)0x3b1734e2, (q31_t)0x277681b6, (q31_t)0x3b1c0764, + (q31_t)0x27821d59, (q31_t)0x3b20d79e, (q31_t)0x278db9ef, (q31_t)0x3b25a591, + (q31_t)0x27995776, (q31_t)0x3b2a713d, (q31_t)0x27a4f5ed, (q31_t)0x3b2f3aa0, + (q31_t)0x27b09555, (q31_t)0x3b3401bb, (q31_t)0x27bc35ad, (q31_t)0x3b38c68e, + (q31_t)0x27c7d6f4, (q31_t)0x3b3d8918, (q31_t)0x27d3792b, (q31_t)0x3b42495a, + (q31_t)0x27df1c50, (q31_t)0x3b470753, (q31_t)0x27eac063, (q31_t)0x3b4bc303, + (q31_t)0x27f66564, (q31_t)0x3b507c69, (q31_t)0x28020b52, (q31_t)0x3b553386, + (q31_t)0x280db22d, (q31_t)0x3b59e85a, (q31_t)0x281959f4, (q31_t)0x3b5e9ae4, + (q31_t)0x282502a7, (q31_t)0x3b634b23, (q31_t)0x2830ac45, (q31_t)0x3b67f919, + (q31_t)0x283c56cf, (q31_t)0x3b6ca4c4, (q31_t)0x28480243, (q31_t)0x3b714e25, + (q31_t)0x2853aea1, (q31_t)0x3b75f53c, (q31_t)0x285f5be9, (q31_t)0x3b7a9a07, + (q31_t)0x286b0a1a, (q31_t)0x3b7f3c87, (q31_t)0x2876b934, (q31_t)0x3b83dcbc, + (q31_t)0x28826936, (q31_t)0x3b887aa6, (q31_t)0x288e1a20, (q31_t)0x3b8d1644, + (q31_t)0x2899cbf1, (q31_t)0x3b91af97, (q31_t)0x28a57ea9, (q31_t)0x3b96469d, + (q31_t)0x28b13248, (q31_t)0x3b9adb57, (q31_t)0x28bce6cd, (q31_t)0x3b9f6dc5, + (q31_t)0x28c89c37, (q31_t)0x3ba3fde7, (q31_t)0x28d45286, (q31_t)0x3ba88bbc, + (q31_t)0x28e009ba, (q31_t)0x3bad1744, (q31_t)0x28ebc1d3, (q31_t)0x3bb1a080, + (q31_t)0x28f77acf, (q31_t)0x3bb6276e, (q31_t)0x290334af, (q31_t)0x3bbaac0e, + (q31_t)0x290eef71, (q31_t)0x3bbf2e62, (q31_t)0x291aab16, (q31_t)0x3bc3ae67, + (q31_t)0x2926679c, (q31_t)0x3bc82c1f, (q31_t)0x29322505, (q31_t)0x3bcca789, + (q31_t)0x293de34e, (q31_t)0x3bd120a4, (q31_t)0x2949a278, (q31_t)0x3bd59771, + (q31_t)0x29556282, (q31_t)0x3bda0bf0, (q31_t)0x2961236c, (q31_t)0x3bde7e20, + (q31_t)0x296ce535, (q31_t)0x3be2ee01, (q31_t)0x2978a7dd, (q31_t)0x3be75b93, + (q31_t)0x29846b63, (q31_t)0x3bebc6d5, (q31_t)0x29902fc7, (q31_t)0x3bf02fc9, + (q31_t)0x299bf509, (q31_t)0x3bf4966c, (q31_t)0x29a7bb28, (q31_t)0x3bf8fac0, + (q31_t)0x29b38223, (q31_t)0x3bfd5cc4, (q31_t)0x29bf49fa, (q31_t)0x3c01bc78, + (q31_t)0x29cb12ad, (q31_t)0x3c0619dc, (q31_t)0x29d6dc3b, (q31_t)0x3c0a74f0, + (q31_t)0x29e2a6a3, (q31_t)0x3c0ecdb2, (q31_t)0x29ee71e6, (q31_t)0x3c132424, + (q31_t)0x29fa3e03, (q31_t)0x3c177845, (q31_t)0x2a060af9, (q31_t)0x3c1bca16, + (q31_t)0x2a11d8c8, (q31_t)0x3c201994, (q31_t)0x2a1da770, (q31_t)0x3c2466c2, + (q31_t)0x2a2976ef, (q31_t)0x3c28b19e, (q31_t)0x2a354746, (q31_t)0x3c2cfa28, + (q31_t)0x2a411874, (q31_t)0x3c314060, (q31_t)0x2a4cea79, (q31_t)0x3c358446, + (q31_t)0x2a58bd54, (q31_t)0x3c39c5da, (q31_t)0x2a649105, (q31_t)0x3c3e051b, + (q31_t)0x2a70658a, (q31_t)0x3c42420a, (q31_t)0x2a7c3ae5, (q31_t)0x3c467ca6, + (q31_t)0x2a881114, (q31_t)0x3c4ab4ef, (q31_t)0x2a93e817, (q31_t)0x3c4eeae5, + (q31_t)0x2a9fbfed, (q31_t)0x3c531e88, (q31_t)0x2aab9896, (q31_t)0x3c574fd8, + (q31_t)0x2ab77212, (q31_t)0x3c5b7ed4, (q31_t)0x2ac34c60, (q31_t)0x3c5fab7c, + (q31_t)0x2acf277f, (q31_t)0x3c63d5d1, (q31_t)0x2adb0370, (q31_t)0x3c67fdd1, + (q31_t)0x2ae6e031, (q31_t)0x3c6c237e, (q31_t)0x2af2bdc3, (q31_t)0x3c7046d6, + (q31_t)0x2afe9c24, (q31_t)0x3c7467d9, (q31_t)0x2b0a7b54, (q31_t)0x3c788688, + (q31_t)0x2b165b54, (q31_t)0x3c7ca2e2, (q31_t)0x2b223c22, (q31_t)0x3c80bce7, + (q31_t)0x2b2e1dbe, (q31_t)0x3c84d496, (q31_t)0x2b3a0027, (q31_t)0x3c88e9f1, + (q31_t)0x2b45e35d, (q31_t)0x3c8cfcf6, (q31_t)0x2b51c760, (q31_t)0x3c910da5, + (q31_t)0x2b5dac2f, (q31_t)0x3c951bff, (q31_t)0x2b6991ca, (q31_t)0x3c992803, + (q31_t)0x2b75782f, (q31_t)0x3c9d31b0, (q31_t)0x2b815f60, (q31_t)0x3ca13908, + (q31_t)0x2b8d475b, (q31_t)0x3ca53e09, (q31_t)0x2b99301f, (q31_t)0x3ca940b3, + (q31_t)0x2ba519ad, (q31_t)0x3cad4107, (q31_t)0x2bb10404, (q31_t)0x3cb13f04, + (q31_t)0x2bbcef23, (q31_t)0x3cb53aaa, (q31_t)0x2bc8db0b, (q31_t)0x3cb933f9, + (q31_t)0x2bd4c7ba, (q31_t)0x3cbd2af0, (q31_t)0x2be0b52f, (q31_t)0x3cc11f90, + (q31_t)0x2beca36c, (q31_t)0x3cc511d9, (q31_t)0x2bf8926f, (q31_t)0x3cc901c9, + (q31_t)0x2c048237, (q31_t)0x3cccef62, (q31_t)0x2c1072c4, (q31_t)0x3cd0daa2, + (q31_t)0x2c1c6417, (q31_t)0x3cd4c38b, (q31_t)0x2c28562d, (q31_t)0x3cd8aa1b, + (q31_t)0x2c344908, (q31_t)0x3cdc8e52, (q31_t)0x2c403ca5, (q31_t)0x3ce07031, + (q31_t)0x2c4c3106, (q31_t)0x3ce44fb7, (q31_t)0x2c582629, (q31_t)0x3ce82ce4, + (q31_t)0x2c641c0e, (q31_t)0x3cec07b8, (q31_t)0x2c7012b5, (q31_t)0x3cefe032, + (q31_t)0x2c7c0a1d, (q31_t)0x3cf3b653, (q31_t)0x2c880245, (q31_t)0x3cf78a1b, + (q31_t)0x2c93fb2e, (q31_t)0x3cfb5b89, (q31_t)0x2c9ff4d6, (q31_t)0x3cff2a9d, + (q31_t)0x2cabef3d, (q31_t)0x3d02f757, (q31_t)0x2cb7ea63, (q31_t)0x3d06c1b6, + (q31_t)0x2cc3e648, (q31_t)0x3d0a89bc, (q31_t)0x2ccfe2ea, (q31_t)0x3d0e4f67, + (q31_t)0x2cdbe04a, (q31_t)0x3d1212b7, (q31_t)0x2ce7de66, (q31_t)0x3d15d3ad, + (q31_t)0x2cf3dd3f, (q31_t)0x3d199248, (q31_t)0x2cffdcd4, (q31_t)0x3d1d4e88, + (q31_t)0x2d0bdd25, (q31_t)0x3d21086c, (q31_t)0x2d17de31, (q31_t)0x3d24bff6, + (q31_t)0x2d23dff7, (q31_t)0x3d287523, (q31_t)0x2d2fe277, (q31_t)0x3d2c27f6, + (q31_t)0x2d3be5b1, (q31_t)0x3d2fd86c, (q31_t)0x2d47e9a5, (q31_t)0x3d338687, + (q31_t)0x2d53ee51, (q31_t)0x3d373245, (q31_t)0x2d5ff3b5, (q31_t)0x3d3adba7, + (q31_t)0x2d6bf9d1, (q31_t)0x3d3e82ae, (q31_t)0x2d7800a5, (q31_t)0x3d422757, + (q31_t)0x2d84082f, (q31_t)0x3d45c9a4, (q31_t)0x2d901070, (q31_t)0x3d496994, + (q31_t)0x2d9c1967, (q31_t)0x3d4d0728, (q31_t)0x2da82313, (q31_t)0x3d50a25e, + (q31_t)0x2db42d74, (q31_t)0x3d543b37, (q31_t)0x2dc0388a, (q31_t)0x3d57d1b3, + (q31_t)0x2dcc4454, (q31_t)0x3d5b65d2, (q31_t)0x2dd850d2, (q31_t)0x3d5ef793, + (q31_t)0x2de45e03, (q31_t)0x3d6286f6, (q31_t)0x2df06be6, (q31_t)0x3d6613fb, + (q31_t)0x2dfc7a7c, (q31_t)0x3d699ea3, (q31_t)0x2e0889c4, (q31_t)0x3d6d26ec, + (q31_t)0x2e1499bd, (q31_t)0x3d70acd7, (q31_t)0x2e20aa67, (q31_t)0x3d743064, + (q31_t)0x2e2cbbc1, (q31_t)0x3d77b192, (q31_t)0x2e38cdcb, (q31_t)0x3d7b3061, + (q31_t)0x2e44e084, (q31_t)0x3d7eacd2, (q31_t)0x2e50f3ed, (q31_t)0x3d8226e4, + (q31_t)0x2e5d0804, (q31_t)0x3d859e96, (q31_t)0x2e691cc9, (q31_t)0x3d8913ea, + (q31_t)0x2e75323c, (q31_t)0x3d8c86de, (q31_t)0x2e81485c, (q31_t)0x3d8ff772, + (q31_t)0x2e8d5f29, (q31_t)0x3d9365a8, (q31_t)0x2e9976a1, (q31_t)0x3d96d17d, + (q31_t)0x2ea58ec6, (q31_t)0x3d9a3af2, (q31_t)0x2eb1a796, (q31_t)0x3d9da208, + (q31_t)0x2ebdc110, (q31_t)0x3da106bd, (q31_t)0x2ec9db35, (q31_t)0x3da46912, + (q31_t)0x2ed5f604, (q31_t)0x3da7c907, (q31_t)0x2ee2117c, (q31_t)0x3dab269b, + (q31_t)0x2eee2d9d, (q31_t)0x3dae81cf, (q31_t)0x2efa4a67, (q31_t)0x3db1daa2, + (q31_t)0x2f0667d9, (q31_t)0x3db53113, (q31_t)0x2f1285f2, (q31_t)0x3db88524, + (q31_t)0x2f1ea4b2, (q31_t)0x3dbbd6d4, (q31_t)0x2f2ac419, (q31_t)0x3dbf2622, + (q31_t)0x2f36e426, (q31_t)0x3dc2730f, (q31_t)0x2f4304d8, (q31_t)0x3dc5bd9b, + (q31_t)0x2f4f2630, (q31_t)0x3dc905c5, (q31_t)0x2f5b482d, (q31_t)0x3dcc4b8d, + (q31_t)0x2f676ace, (q31_t)0x3dcf8ef3, (q31_t)0x2f738e12, (q31_t)0x3dd2cff7, + (q31_t)0x2f7fb1fa, (q31_t)0x3dd60e99, (q31_t)0x2f8bd685, (q31_t)0x3dd94ad8, + (q31_t)0x2f97fbb2, (q31_t)0x3ddc84b5, (q31_t)0x2fa42181, (q31_t)0x3ddfbc30, + (q31_t)0x2fb047f2, (q31_t)0x3de2f148, (q31_t)0x2fbc6f03, (q31_t)0x3de623fd, + (q31_t)0x2fc896b5, (q31_t)0x3de9544f, (q31_t)0x2fd4bf08, (q31_t)0x3dec823e, + (q31_t)0x2fe0e7f9, (q31_t)0x3defadca, (q31_t)0x2fed118a, (q31_t)0x3df2d6f3, + (q31_t)0x2ff93bba, (q31_t)0x3df5fdb8, (q31_t)0x30056687, (q31_t)0x3df9221a, + (q31_t)0x301191f3, (q31_t)0x3dfc4418, (q31_t)0x301dbdfb, (q31_t)0x3dff63b2, + (q31_t)0x3029eaa1, (q31_t)0x3e0280e9, (q31_t)0x303617e2, (q31_t)0x3e059bbb, + (q31_t)0x304245c0, (q31_t)0x3e08b42a, (q31_t)0x304e7438, (q31_t)0x3e0bca34, + (q31_t)0x305aa34c, (q31_t)0x3e0eddd9, (q31_t)0x3066d2fa, (q31_t)0x3e11ef1b, + (q31_t)0x30730342, (q31_t)0x3e14fdf7, (q31_t)0x307f3424, (q31_t)0x3e180a6f, + (q31_t)0x308b659f, (q31_t)0x3e1b1482, (q31_t)0x309797b2, (q31_t)0x3e1e1c30, + (q31_t)0x30a3ca5d, (q31_t)0x3e212179, (q31_t)0x30affda0, (q31_t)0x3e24245d, + (q31_t)0x30bc317a, (q31_t)0x3e2724db, (q31_t)0x30c865ea, (q31_t)0x3e2a22f4, + (q31_t)0x30d49af1, (q31_t)0x3e2d1ea8, (q31_t)0x30e0d08d, (q31_t)0x3e3017f6, + (q31_t)0x30ed06bf, (q31_t)0x3e330ede, (q31_t)0x30f93d86, (q31_t)0x3e360360, + (q31_t)0x310574e0, (q31_t)0x3e38f57c, (q31_t)0x3111accf, (q31_t)0x3e3be532, + (q31_t)0x311de551, (q31_t)0x3e3ed282, (q31_t)0x312a1e66, (q31_t)0x3e41bd6c, + (q31_t)0x3136580d, (q31_t)0x3e44a5ef, (q31_t)0x31429247, (q31_t)0x3e478c0b, + (q31_t)0x314ecd11, (q31_t)0x3e4a6fc1, (q31_t)0x315b086d, (q31_t)0x3e4d5110, + (q31_t)0x31674459, (q31_t)0x3e502ff9, (q31_t)0x317380d6, (q31_t)0x3e530c7a, + (q31_t)0x317fbde2, (q31_t)0x3e55e694, (q31_t)0x318bfb7d, (q31_t)0x3e58be47, + (q31_t)0x319839a6, (q31_t)0x3e5b9392, (q31_t)0x31a4785e, (q31_t)0x3e5e6676, + (q31_t)0x31b0b7a4, (q31_t)0x3e6136f3, (q31_t)0x31bcf777, (q31_t)0x3e640507, + (q31_t)0x31c937d6, (q31_t)0x3e66d0b4, (q31_t)0x31d578c2, (q31_t)0x3e6999fa, + (q31_t)0x31e1ba3a, (q31_t)0x3e6c60d7, (q31_t)0x31edfc3d, (q31_t)0x3e6f254c, + (q31_t)0x31fa3ecb, (q31_t)0x3e71e759, (q31_t)0x320681e3, (q31_t)0x3e74a6fd, + (q31_t)0x3212c585, (q31_t)0x3e77643a, (q31_t)0x321f09b1, (q31_t)0x3e7a1f0d, + (q31_t)0x322b4e66, (q31_t)0x3e7cd778, (q31_t)0x323793a3, (q31_t)0x3e7f8d7b, + (q31_t)0x3243d968, (q31_t)0x3e824114, (q31_t)0x32501fb5, (q31_t)0x3e84f245, + (q31_t)0x325c6688, (q31_t)0x3e87a10c, (q31_t)0x3268ade3, (q31_t)0x3e8a4d6a, + (q31_t)0x3274f5c3, (q31_t)0x3e8cf75f, (q31_t)0x32813e2a, (q31_t)0x3e8f9eeb, + (q31_t)0x328d8715, (q31_t)0x3e92440d, (q31_t)0x3299d085, (q31_t)0x3e94e6c6, + (q31_t)0x32a61a7a, (q31_t)0x3e978715, (q31_t)0x32b264f2, (q31_t)0x3e9a24fb, + (q31_t)0x32beafed, (q31_t)0x3e9cc076, (q31_t)0x32cafb6b, (q31_t)0x3e9f5988, + (q31_t)0x32d7476c, (q31_t)0x3ea1f02f, (q31_t)0x32e393ef, (q31_t)0x3ea4846c, + (q31_t)0x32efe0f2, (q31_t)0x3ea7163f, (q31_t)0x32fc2e77, (q31_t)0x3ea9a5a8, + (q31_t)0x33087c7d, (q31_t)0x3eac32a6, (q31_t)0x3314cb02, (q31_t)0x3eaebd3a, + (q31_t)0x33211a07, (q31_t)0x3eb14563, (q31_t)0x332d698a, (q31_t)0x3eb3cb21, + (q31_t)0x3339b98d, (q31_t)0x3eb64e75, (q31_t)0x33460a0d, (q31_t)0x3eb8cf5d, + (q31_t)0x33525b0b, (q31_t)0x3ebb4ddb, (q31_t)0x335eac86, (q31_t)0x3ebdc9ed, + (q31_t)0x336afe7e, (q31_t)0x3ec04394, (q31_t)0x337750f2, (q31_t)0x3ec2bad0, + (q31_t)0x3383a3e2, (q31_t)0x3ec52fa0, (q31_t)0x338ff74d, (q31_t)0x3ec7a205, + (q31_t)0x339c4b32, (q31_t)0x3eca11fe, (q31_t)0x33a89f92, (q31_t)0x3ecc7f8b, + (q31_t)0x33b4f46c, (q31_t)0x3eceeaad, (q31_t)0x33c149bf, (q31_t)0x3ed15363, + (q31_t)0x33cd9f8b, (q31_t)0x3ed3b9ad, (q31_t)0x33d9f5cf, (q31_t)0x3ed61d8a, + (q31_t)0x33e64c8c, (q31_t)0x3ed87efc, (q31_t)0x33f2a3bf, (q31_t)0x3edade01, + (q31_t)0x33fefb6a, (q31_t)0x3edd3a9a, (q31_t)0x340b538b, (q31_t)0x3edf94c7, + (q31_t)0x3417ac22, (q31_t)0x3ee1ec87, (q31_t)0x3424052f, (q31_t)0x3ee441da, + (q31_t)0x34305eb0, (q31_t)0x3ee694c1, (q31_t)0x343cb8a7, (q31_t)0x3ee8e53a, + (q31_t)0x34491311, (q31_t)0x3eeb3347, (q31_t)0x34556def, (q31_t)0x3eed7ee7, + (q31_t)0x3461c940, (q31_t)0x3eefc81a, (q31_t)0x346e2504, (q31_t)0x3ef20ee0, + (q31_t)0x347a8139, (q31_t)0x3ef45338, (q31_t)0x3486dde1, (q31_t)0x3ef69523, + (q31_t)0x34933afa, (q31_t)0x3ef8d4a1, (q31_t)0x349f9884, (q31_t)0x3efb11b1, + (q31_t)0x34abf67e, (q31_t)0x3efd4c54, (q31_t)0x34b854e7, (q31_t)0x3eff8489, + (q31_t)0x34c4b3c0, (q31_t)0x3f01ba50, (q31_t)0x34d11308, (q31_t)0x3f03eda9, + (q31_t)0x34dd72be, (q31_t)0x3f061e95, (q31_t)0x34e9d2e3, (q31_t)0x3f084d12, + (q31_t)0x34f63374, (q31_t)0x3f0a7921, (q31_t)0x35029473, (q31_t)0x3f0ca2c2, + (q31_t)0x350ef5de, (q31_t)0x3f0ec9f5, (q31_t)0x351b57b5, (q31_t)0x3f10eeb9, + (q31_t)0x3527b9f7, (q31_t)0x3f13110f, (q31_t)0x35341ca5, (q31_t)0x3f1530f7, + (q31_t)0x35407fbd, (q31_t)0x3f174e70, (q31_t)0x354ce33f, (q31_t)0x3f19697a, + (q31_t)0x3559472b, (q31_t)0x3f1b8215, (q31_t)0x3565ab80, (q31_t)0x3f1d9842, + (q31_t)0x3572103d, (q31_t)0x3f1fabff, (q31_t)0x357e7563, (q31_t)0x3f21bd4e, + (q31_t)0x358adaf0, (q31_t)0x3f23cc2e, (q31_t)0x359740e5, (q31_t)0x3f25d89e, + (q31_t)0x35a3a740, (q31_t)0x3f27e29f, (q31_t)0x35b00e02, (q31_t)0x3f29ea31, + (q31_t)0x35bc7529, (q31_t)0x3f2bef53, (q31_t)0x35c8dcb6, (q31_t)0x3f2df206, + (q31_t)0x35d544a7, (q31_t)0x3f2ff24a, (q31_t)0x35e1acfd, (q31_t)0x3f31f01d, + (q31_t)0x35ee15b7, (q31_t)0x3f33eb81, (q31_t)0x35fa7ed4, (q31_t)0x3f35e476, + (q31_t)0x3606e854, (q31_t)0x3f37dafa, (q31_t)0x36135237, (q31_t)0x3f39cf0e, + (q31_t)0x361fbc7b, (q31_t)0x3f3bc0b3, (q31_t)0x362c2721, (q31_t)0x3f3dafe7, + (q31_t)0x36389228, (q31_t)0x3f3f9cab, (q31_t)0x3644fd8f, (q31_t)0x3f4186ff, + (q31_t)0x36516956, (q31_t)0x3f436ee3, (q31_t)0x365dd57d, (q31_t)0x3f455456, + (q31_t)0x366a4203, (q31_t)0x3f473759, (q31_t)0x3676aee8, (q31_t)0x3f4917eb, + (q31_t)0x36831c2b, (q31_t)0x3f4af60d, (q31_t)0x368f89cb, (q31_t)0x3f4cd1be, + (q31_t)0x369bf7c9, (q31_t)0x3f4eaafe, (q31_t)0x36a86623, (q31_t)0x3f5081cd, + (q31_t)0x36b4d4d9, (q31_t)0x3f52562c, (q31_t)0x36c143ec, (q31_t)0x3f54281a, + (q31_t)0x36cdb359, (q31_t)0x3f55f796, (q31_t)0x36da2321, (q31_t)0x3f57c4a2, + (q31_t)0x36e69344, (q31_t)0x3f598f3c, (q31_t)0x36f303c0, (q31_t)0x3f5b5765, + (q31_t)0x36ff7496, (q31_t)0x3f5d1d1d, (q31_t)0x370be5c4, (q31_t)0x3f5ee063, + (q31_t)0x3718574b, (q31_t)0x3f60a138, (q31_t)0x3724c92a, (q31_t)0x3f625f9b, + (q31_t)0x37313b60, (q31_t)0x3f641b8d, (q31_t)0x373daded, (q31_t)0x3f65d50d, + (q31_t)0x374a20d0, (q31_t)0x3f678c1c, (q31_t)0x3756940a, (q31_t)0x3f6940b8, + (q31_t)0x37630799, (q31_t)0x3f6af2e3, (q31_t)0x376f7b7d, (q31_t)0x3f6ca29c, + (q31_t)0x377befb5, (q31_t)0x3f6e4fe3, (q31_t)0x37886442, (q31_t)0x3f6ffab8, + (q31_t)0x3794d922, (q31_t)0x3f71a31b, (q31_t)0x37a14e55, (q31_t)0x3f73490b, + (q31_t)0x37adc3db, (q31_t)0x3f74ec8a, (q31_t)0x37ba39b3, (q31_t)0x3f768d96, + (q31_t)0x37c6afdc, (q31_t)0x3f782c30, (q31_t)0x37d32657, (q31_t)0x3f79c857, + (q31_t)0x37df9d22, (q31_t)0x3f7b620c, (q31_t)0x37ec143e, (q31_t)0x3f7cf94e, + (q31_t)0x37f88ba9, (q31_t)0x3f7e8e1e, (q31_t)0x38050364, (q31_t)0x3f80207b, + (q31_t)0x38117b6d, (q31_t)0x3f81b065, (q31_t)0x381df3c5, (q31_t)0x3f833ddd, + (q31_t)0x382a6c6a, (q31_t)0x3f84c8e2, (q31_t)0x3836e55d, (q31_t)0x3f865174, + (q31_t)0x38435e9d, (q31_t)0x3f87d792, (q31_t)0x384fd829, (q31_t)0x3f895b3e, + (q31_t)0x385c5201, (q31_t)0x3f8adc77, (q31_t)0x3868cc24, (q31_t)0x3f8c5b3d, + (q31_t)0x38754692, (q31_t)0x3f8dd78f, (q31_t)0x3881c14b, (q31_t)0x3f8f516e, + (q31_t)0x388e3c4d, (q31_t)0x3f90c8da, (q31_t)0x389ab799, (q31_t)0x3f923dd2, + (q31_t)0x38a7332e, (q31_t)0x3f93b058, (q31_t)0x38b3af0c, (q31_t)0x3f952069, + (q31_t)0x38c02b31, (q31_t)0x3f968e07, (q31_t)0x38cca79e, (q31_t)0x3f97f932, + (q31_t)0x38d92452, (q31_t)0x3f9961e8, (q31_t)0x38e5a14d, (q31_t)0x3f9ac82c, + (q31_t)0x38f21e8e, (q31_t)0x3f9c2bfb, (q31_t)0x38fe9c15, (q31_t)0x3f9d8d56, + (q31_t)0x390b19e0, (q31_t)0x3f9eec3e, (q31_t)0x391797f0, (q31_t)0x3fa048b2, + (q31_t)0x39241645, (q31_t)0x3fa1a2b2, (q31_t)0x393094dd, (q31_t)0x3fa2fa3d, + (q31_t)0x393d13b8, (q31_t)0x3fa44f55, (q31_t)0x394992d7, (q31_t)0x3fa5a1f9, + (q31_t)0x39561237, (q31_t)0x3fa6f228, (q31_t)0x396291d9, (q31_t)0x3fa83fe3, + (q31_t)0x396f11bc, (q31_t)0x3fa98b2a, (q31_t)0x397b91e1, (q31_t)0x3faad3fd, + (q31_t)0x39881245, (q31_t)0x3fac1a5b, (q31_t)0x399492ea, (q31_t)0x3fad5e45, + (q31_t)0x39a113cd, (q31_t)0x3fae9fbb, (q31_t)0x39ad94f0, (q31_t)0x3fafdebb, + (q31_t)0x39ba1651, (q31_t)0x3fb11b48, (q31_t)0x39c697f0, (q31_t)0x3fb2555f, + (q31_t)0x39d319cc, (q31_t)0x3fb38d02, (q31_t)0x39df9be6, (q31_t)0x3fb4c231, + (q31_t)0x39ec1e3b, (q31_t)0x3fb5f4ea, (q31_t)0x39f8a0cd, (q31_t)0x3fb7252f, + (q31_t)0x3a05239a, (q31_t)0x3fb852ff, (q31_t)0x3a11a6a3, (q31_t)0x3fb97e5a, + (q31_t)0x3a1e29e5, (q31_t)0x3fbaa740, (q31_t)0x3a2aad62, (q31_t)0x3fbbcdb1, + (q31_t)0x3a373119, (q31_t)0x3fbcf1ad, (q31_t)0x3a43b508, (q31_t)0x3fbe1334, + (q31_t)0x3a503930, (q31_t)0x3fbf3246, (q31_t)0x3a5cbd91, (q31_t)0x3fc04ee3, + (q31_t)0x3a694229, (q31_t)0x3fc1690a, (q31_t)0x3a75c6f8, (q31_t)0x3fc280bc, + (q31_t)0x3a824bfd, (q31_t)0x3fc395f9, (q31_t)0x3a8ed139, (q31_t)0x3fc4a8c1, + (q31_t)0x3a9b56ab, (q31_t)0x3fc5b913, (q31_t)0x3aa7dc52, (q31_t)0x3fc6c6f0, + (q31_t)0x3ab4622d, (q31_t)0x3fc7d258, (q31_t)0x3ac0e83d, (q31_t)0x3fc8db4a, + (q31_t)0x3acd6e81, (q31_t)0x3fc9e1c6, (q31_t)0x3ad9f4f8, (q31_t)0x3fcae5cd, + (q31_t)0x3ae67ba2, (q31_t)0x3fcbe75e, (q31_t)0x3af3027e, (q31_t)0x3fcce67a, + (q31_t)0x3aff898c, (q31_t)0x3fcde320, (q31_t)0x3b0c10cb, (q31_t)0x3fcedd50, + (q31_t)0x3b18983b, (q31_t)0x3fcfd50b, (q31_t)0x3b251fdc, (q31_t)0x3fd0ca4f, + (q31_t)0x3b31a7ac, (q31_t)0x3fd1bd1e, (q31_t)0x3b3e2fac, (q31_t)0x3fd2ad77, + (q31_t)0x3b4ab7db, (q31_t)0x3fd39b5a, (q31_t)0x3b574039, (q31_t)0x3fd486c7, + (q31_t)0x3b63c8c4, (q31_t)0x3fd56fbe, (q31_t)0x3b70517d, (q31_t)0x3fd6563f, + (q31_t)0x3b7cda63, (q31_t)0x3fd73a4a, (q31_t)0x3b896375, (q31_t)0x3fd81bdf, + (q31_t)0x3b95ecb4, (q31_t)0x3fd8fafe, (q31_t)0x3ba2761e, (q31_t)0x3fd9d7a7, + (q31_t)0x3baeffb3, (q31_t)0x3fdab1d9, (q31_t)0x3bbb8973, (q31_t)0x3fdb8996, + (q31_t)0x3bc8135c, (q31_t)0x3fdc5edc, (q31_t)0x3bd49d70, (q31_t)0x3fdd31ac, + (q31_t)0x3be127ac, (q31_t)0x3fde0205, (q31_t)0x3bedb212, (q31_t)0x3fdecfe8, + (q31_t)0x3bfa3c9f, (q31_t)0x3fdf9b55, (q31_t)0x3c06c754, (q31_t)0x3fe0644b, + (q31_t)0x3c135231, (q31_t)0x3fe12acb, (q31_t)0x3c1fdd34, (q31_t)0x3fe1eed5, + (q31_t)0x3c2c685d, (q31_t)0x3fe2b067, (q31_t)0x3c38f3ac, (q31_t)0x3fe36f84, + (q31_t)0x3c457f21, (q31_t)0x3fe42c2a, (q31_t)0x3c520aba, (q31_t)0x3fe4e659, + (q31_t)0x3c5e9678, (q31_t)0x3fe59e12, (q31_t)0x3c6b2259, (q31_t)0x3fe65354, + (q31_t)0x3c77ae5e, (q31_t)0x3fe7061f, (q31_t)0x3c843a85, (q31_t)0x3fe7b674, + (q31_t)0x3c90c6cf, (q31_t)0x3fe86452, (q31_t)0x3c9d533b, (q31_t)0x3fe90fb9, + (q31_t)0x3ca9dfc8, (q31_t)0x3fe9b8a9, (q31_t)0x3cb66c77, (q31_t)0x3fea5f23, + (q31_t)0x3cc2f945, (q31_t)0x3feb0326, (q31_t)0x3ccf8634, (q31_t)0x3feba4b2, + (q31_t)0x3cdc1342, (q31_t)0x3fec43c7, (q31_t)0x3ce8a06f, (q31_t)0x3fece065, + (q31_t)0x3cf52dbb, (q31_t)0x3fed7a8c, (q31_t)0x3d01bb24, (q31_t)0x3fee123d, + (q31_t)0x3d0e48ab, (q31_t)0x3feea776, (q31_t)0x3d1ad650, (q31_t)0x3fef3a39, + (q31_t)0x3d276410, (q31_t)0x3fefca84, (q31_t)0x3d33f1ed, (q31_t)0x3ff05858, + (q31_t)0x3d407fe6, (q31_t)0x3ff0e3b6, (q31_t)0x3d4d0df9, (q31_t)0x3ff16c9c, + (q31_t)0x3d599c28, (q31_t)0x3ff1f30b, (q31_t)0x3d662a70, (q31_t)0x3ff27703, + (q31_t)0x3d72b8d2, (q31_t)0x3ff2f884, (q31_t)0x3d7f474d, (q31_t)0x3ff3778e, + (q31_t)0x3d8bd5e1, (q31_t)0x3ff3f420, (q31_t)0x3d98648d, (q31_t)0x3ff46e3c, + (q31_t)0x3da4f351, (q31_t)0x3ff4e5e0, (q31_t)0x3db1822c, (q31_t)0x3ff55b0d, + (q31_t)0x3dbe111e, (q31_t)0x3ff5cdc3, (q31_t)0x3dcaa027, (q31_t)0x3ff63e01, + (q31_t)0x3dd72f45, (q31_t)0x3ff6abc8, (q31_t)0x3de3be78, (q31_t)0x3ff71718, + (q31_t)0x3df04dc0, (q31_t)0x3ff77ff1, (q31_t)0x3dfcdd1d, (q31_t)0x3ff7e652, + (q31_t)0x3e096c8d, (q31_t)0x3ff84a3c, (q31_t)0x3e15fc11, (q31_t)0x3ff8abae, + (q31_t)0x3e228ba7, (q31_t)0x3ff90aaa, (q31_t)0x3e2f1b50, (q31_t)0x3ff9672d, + (q31_t)0x3e3bab0b, (q31_t)0x3ff9c13a, (q31_t)0x3e483ad8, (q31_t)0x3ffa18cf, + (q31_t)0x3e54cab5, (q31_t)0x3ffa6dec, (q31_t)0x3e615aa3, (q31_t)0x3ffac092, + (q31_t)0x3e6deaa1, (q31_t)0x3ffb10c1, (q31_t)0x3e7a7aae, (q31_t)0x3ffb5e78, + (q31_t)0x3e870aca, (q31_t)0x3ffba9b8, (q31_t)0x3e939af5, (q31_t)0x3ffbf280, + (q31_t)0x3ea02b2e, (q31_t)0x3ffc38d1, (q31_t)0x3eacbb74, (q31_t)0x3ffc7caa, + (q31_t)0x3eb94bc8, (q31_t)0x3ffcbe0c, (q31_t)0x3ec5dc28, (q31_t)0x3ffcfcf6, + (q31_t)0x3ed26c94, (q31_t)0x3ffd3969, (q31_t)0x3edefd0c, (q31_t)0x3ffd7364, + (q31_t)0x3eeb8d8f, (q31_t)0x3ffdaae7, (q31_t)0x3ef81e1d, (q31_t)0x3ffddff3, + (q31_t)0x3f04aeb5, (q31_t)0x3ffe1288, (q31_t)0x3f113f56, (q31_t)0x3ffe42a4, + (q31_t)0x3f1dd001, (q31_t)0x3ffe704a, (q31_t)0x3f2a60b4, (q31_t)0x3ffe9b77, + (q31_t)0x3f36f170, (q31_t)0x3ffec42d, (q31_t)0x3f438234, (q31_t)0x3ffeea6c, + (q31_t)0x3f5012fe, (q31_t)0x3fff0e32, (q31_t)0x3f5ca3d0, (q31_t)0x3fff2f82, + (q31_t)0x3f6934a8, (q31_t)0x3fff4e59, (q31_t)0x3f75c585, (q31_t)0x3fff6ab9, + (q31_t)0x3f825668, (q31_t)0x3fff84a1, (q31_t)0x3f8ee750, (q31_t)0x3fff9c12, + (q31_t)0x3f9b783c, (q31_t)0x3fffb10b, (q31_t)0x3fa8092c, (q31_t)0x3fffc38c, + (q31_t)0x3fb49a1f, (q31_t)0x3fffd396, (q31_t)0x3fc12b16, (q31_t)0x3fffe128, + (q31_t)0x3fcdbc0f, (q31_t)0x3fffec43, (q31_t)0x3fda4d09, (q31_t)0x3ffff4e6, + (q31_t)0x3fe6de05, (q31_t)0x3ffffb11, (q31_t)0x3ff36f02, (q31_t)0x3ffffec4, +}; + + +/** +* \par +* Generation of realCoefBQ31 array: +* \par +* n = 4096 +*
for (i = 0; i < n; i++)
+* {
+*    pBTable[2 * i] = 0.5 * (1.0 + sin (2 * PI / (double) (2 * n) * (double) i));
+*    pBTable[2 * i + 1] = 0.5 * (1.0 * cos (2 * PI / (double) (2 * n) * (double) i));
+* } 
+* \par +* Convert to fixed point Q31 format +* round(pBTable[i] * pow(2, 31)) +* +*/ + +const q31_t realCoefBQ31[8192] = { + (q31_t)0x40000000, (q31_t)0x40000000, (q31_t)0x400c90fe, (q31_t)0x3ffffec4, + (q31_t)0x401921fb, (q31_t)0x3ffffb11, (q31_t)0x4025b2f7, (q31_t)0x3ffff4e6, + (q31_t)0x403243f1, (q31_t)0x3fffec43, (q31_t)0x403ed4ea, (q31_t)0x3fffe128, + (q31_t)0x404b65e1, (q31_t)0x3fffd396, (q31_t)0x4057f6d4, (q31_t)0x3fffc38c, + (q31_t)0x406487c4, (q31_t)0x3fffb10b, (q31_t)0x407118b0, (q31_t)0x3fff9c12, + (q31_t)0x407da998, (q31_t)0x3fff84a1, (q31_t)0x408a3a7b, (q31_t)0x3fff6ab9, + (q31_t)0x4096cb58, (q31_t)0x3fff4e59, (q31_t)0x40a35c30, (q31_t)0x3fff2f82, + (q31_t)0x40afed02, (q31_t)0x3fff0e32, (q31_t)0x40bc7dcc, (q31_t)0x3ffeea6c, + (q31_t)0x40c90e90, (q31_t)0x3ffec42d, (q31_t)0x40d59f4c, (q31_t)0x3ffe9b77, + (q31_t)0x40e22fff, (q31_t)0x3ffe704a, (q31_t)0x40eec0aa, (q31_t)0x3ffe42a4, + (q31_t)0x40fb514b, (q31_t)0x3ffe1288, (q31_t)0x4107e1e3, (q31_t)0x3ffddff3, + (q31_t)0x41147271, (q31_t)0x3ffdaae7, (q31_t)0x412102f4, (q31_t)0x3ffd7364, + (q31_t)0x412d936c, (q31_t)0x3ffd3969, (q31_t)0x413a23d8, (q31_t)0x3ffcfcf6, + (q31_t)0x4146b438, (q31_t)0x3ffcbe0c, (q31_t)0x4153448c, (q31_t)0x3ffc7caa, + (q31_t)0x415fd4d2, (q31_t)0x3ffc38d1, (q31_t)0x416c650b, (q31_t)0x3ffbf280, + (q31_t)0x4178f536, (q31_t)0x3ffba9b8, (q31_t)0x41858552, (q31_t)0x3ffb5e78, + (q31_t)0x4192155f, (q31_t)0x3ffb10c1, (q31_t)0x419ea55d, (q31_t)0x3ffac092, + (q31_t)0x41ab354b, (q31_t)0x3ffa6dec, (q31_t)0x41b7c528, (q31_t)0x3ffa18cf, + (q31_t)0x41c454f5, (q31_t)0x3ff9c13a, (q31_t)0x41d0e4b0, (q31_t)0x3ff9672d, + (q31_t)0x41dd7459, (q31_t)0x3ff90aaa, (q31_t)0x41ea03ef, (q31_t)0x3ff8abae, + (q31_t)0x41f69373, (q31_t)0x3ff84a3c, (q31_t)0x420322e3, (q31_t)0x3ff7e652, + (q31_t)0x420fb240, (q31_t)0x3ff77ff1, (q31_t)0x421c4188, (q31_t)0x3ff71718, + (q31_t)0x4228d0bb, (q31_t)0x3ff6abc8, (q31_t)0x42355fd9, (q31_t)0x3ff63e01, + (q31_t)0x4241eee2, (q31_t)0x3ff5cdc3, (q31_t)0x424e7dd4, (q31_t)0x3ff55b0d, + (q31_t)0x425b0caf, (q31_t)0x3ff4e5e0, (q31_t)0x42679b73, (q31_t)0x3ff46e3c, + (q31_t)0x42742a1f, (q31_t)0x3ff3f420, (q31_t)0x4280b8b3, (q31_t)0x3ff3778e, + (q31_t)0x428d472e, (q31_t)0x3ff2f884, (q31_t)0x4299d590, (q31_t)0x3ff27703, + (q31_t)0x42a663d8, (q31_t)0x3ff1f30b, (q31_t)0x42b2f207, (q31_t)0x3ff16c9c, + (q31_t)0x42bf801a, (q31_t)0x3ff0e3b6, (q31_t)0x42cc0e13, (q31_t)0x3ff05858, + (q31_t)0x42d89bf0, (q31_t)0x3fefca84, (q31_t)0x42e529b0, (q31_t)0x3fef3a39, + (q31_t)0x42f1b755, (q31_t)0x3feea776, (q31_t)0x42fe44dc, (q31_t)0x3fee123d, + (q31_t)0x430ad245, (q31_t)0x3fed7a8c, (q31_t)0x43175f91, (q31_t)0x3fece065, + (q31_t)0x4323ecbe, (q31_t)0x3fec43c7, (q31_t)0x433079cc, (q31_t)0x3feba4b2, + (q31_t)0x433d06bb, (q31_t)0x3feb0326, (q31_t)0x43499389, (q31_t)0x3fea5f23, + (q31_t)0x43562038, (q31_t)0x3fe9b8a9, (q31_t)0x4362acc5, (q31_t)0x3fe90fb9, + (q31_t)0x436f3931, (q31_t)0x3fe86452, (q31_t)0x437bc57b, (q31_t)0x3fe7b674, + (q31_t)0x438851a2, (q31_t)0x3fe7061f, (q31_t)0x4394dda7, (q31_t)0x3fe65354, + (q31_t)0x43a16988, (q31_t)0x3fe59e12, (q31_t)0x43adf546, (q31_t)0x3fe4e659, + (q31_t)0x43ba80df, (q31_t)0x3fe42c2a, (q31_t)0x43c70c54, (q31_t)0x3fe36f84, + (q31_t)0x43d397a3, (q31_t)0x3fe2b067, (q31_t)0x43e022cc, (q31_t)0x3fe1eed5, + (q31_t)0x43ecadcf, (q31_t)0x3fe12acb, (q31_t)0x43f938ac, (q31_t)0x3fe0644b, + (q31_t)0x4405c361, (q31_t)0x3fdf9b55, (q31_t)0x44124dee, (q31_t)0x3fdecfe8, + (q31_t)0x441ed854, (q31_t)0x3fde0205, (q31_t)0x442b6290, (q31_t)0x3fdd31ac, + (q31_t)0x4437eca4, (q31_t)0x3fdc5edc, (q31_t)0x4444768d, (q31_t)0x3fdb8996, + (q31_t)0x4451004d, (q31_t)0x3fdab1d9, (q31_t)0x445d89e2, (q31_t)0x3fd9d7a7, + (q31_t)0x446a134c, (q31_t)0x3fd8fafe, (q31_t)0x44769c8b, (q31_t)0x3fd81bdf, + (q31_t)0x4483259d, (q31_t)0x3fd73a4a, (q31_t)0x448fae83, (q31_t)0x3fd6563f, + (q31_t)0x449c373c, (q31_t)0x3fd56fbe, (q31_t)0x44a8bfc7, (q31_t)0x3fd486c7, + (q31_t)0x44b54825, (q31_t)0x3fd39b5a, (q31_t)0x44c1d054, (q31_t)0x3fd2ad77, + (q31_t)0x44ce5854, (q31_t)0x3fd1bd1e, (q31_t)0x44dae024, (q31_t)0x3fd0ca4f, + (q31_t)0x44e767c5, (q31_t)0x3fcfd50b, (q31_t)0x44f3ef35, (q31_t)0x3fcedd50, + (q31_t)0x45007674, (q31_t)0x3fcde320, (q31_t)0x450cfd82, (q31_t)0x3fcce67a, + (q31_t)0x4519845e, (q31_t)0x3fcbe75e, (q31_t)0x45260b08, (q31_t)0x3fcae5cd, + (q31_t)0x4532917f, (q31_t)0x3fc9e1c6, (q31_t)0x453f17c3, (q31_t)0x3fc8db4a, + (q31_t)0x454b9dd3, (q31_t)0x3fc7d258, (q31_t)0x455823ae, (q31_t)0x3fc6c6f0, + (q31_t)0x4564a955, (q31_t)0x3fc5b913, (q31_t)0x45712ec7, (q31_t)0x3fc4a8c1, + (q31_t)0x457db403, (q31_t)0x3fc395f9, (q31_t)0x458a3908, (q31_t)0x3fc280bc, + (q31_t)0x4596bdd7, (q31_t)0x3fc1690a, (q31_t)0x45a3426f, (q31_t)0x3fc04ee3, + (q31_t)0x45afc6d0, (q31_t)0x3fbf3246, (q31_t)0x45bc4af8, (q31_t)0x3fbe1334, + (q31_t)0x45c8cee7, (q31_t)0x3fbcf1ad, (q31_t)0x45d5529e, (q31_t)0x3fbbcdb1, + (q31_t)0x45e1d61b, (q31_t)0x3fbaa740, (q31_t)0x45ee595d, (q31_t)0x3fb97e5a, + (q31_t)0x45fadc66, (q31_t)0x3fb852ff, (q31_t)0x46075f33, (q31_t)0x3fb7252f, + (q31_t)0x4613e1c5, (q31_t)0x3fb5f4ea, (q31_t)0x4620641a, (q31_t)0x3fb4c231, + (q31_t)0x462ce634, (q31_t)0x3fb38d02, (q31_t)0x46396810, (q31_t)0x3fb2555f, + (q31_t)0x4645e9af, (q31_t)0x3fb11b48, (q31_t)0x46526b10, (q31_t)0x3fafdebb, + (q31_t)0x465eec33, (q31_t)0x3fae9fbb, (q31_t)0x466b6d16, (q31_t)0x3fad5e45, + (q31_t)0x4677edbb, (q31_t)0x3fac1a5b, (q31_t)0x46846e1f, (q31_t)0x3faad3fd, + (q31_t)0x4690ee44, (q31_t)0x3fa98b2a, (q31_t)0x469d6e27, (q31_t)0x3fa83fe3, + (q31_t)0x46a9edc9, (q31_t)0x3fa6f228, (q31_t)0x46b66d29, (q31_t)0x3fa5a1f9, + (q31_t)0x46c2ec48, (q31_t)0x3fa44f55, (q31_t)0x46cf6b23, (q31_t)0x3fa2fa3d, + (q31_t)0x46dbe9bb, (q31_t)0x3fa1a2b2, (q31_t)0x46e86810, (q31_t)0x3fa048b2, + (q31_t)0x46f4e620, (q31_t)0x3f9eec3e, (q31_t)0x470163eb, (q31_t)0x3f9d8d56, + (q31_t)0x470de172, (q31_t)0x3f9c2bfb, (q31_t)0x471a5eb3, (q31_t)0x3f9ac82c, + (q31_t)0x4726dbae, (q31_t)0x3f9961e8, (q31_t)0x47335862, (q31_t)0x3f97f932, + (q31_t)0x473fd4cf, (q31_t)0x3f968e07, (q31_t)0x474c50f4, (q31_t)0x3f952069, + (q31_t)0x4758ccd2, (q31_t)0x3f93b058, (q31_t)0x47654867, (q31_t)0x3f923dd2, + (q31_t)0x4771c3b3, (q31_t)0x3f90c8da, (q31_t)0x477e3eb5, (q31_t)0x3f8f516e, + (q31_t)0x478ab96e, (q31_t)0x3f8dd78f, (q31_t)0x479733dc, (q31_t)0x3f8c5b3d, + (q31_t)0x47a3adff, (q31_t)0x3f8adc77, (q31_t)0x47b027d7, (q31_t)0x3f895b3e, + (q31_t)0x47bca163, (q31_t)0x3f87d792, (q31_t)0x47c91aa3, (q31_t)0x3f865174, + (q31_t)0x47d59396, (q31_t)0x3f84c8e2, (q31_t)0x47e20c3b, (q31_t)0x3f833ddd, + (q31_t)0x47ee8493, (q31_t)0x3f81b065, (q31_t)0x47fafc9c, (q31_t)0x3f80207b, + (q31_t)0x48077457, (q31_t)0x3f7e8e1e, (q31_t)0x4813ebc2, (q31_t)0x3f7cf94e, + (q31_t)0x482062de, (q31_t)0x3f7b620c, (q31_t)0x482cd9a9, (q31_t)0x3f79c857, + (q31_t)0x48395024, (q31_t)0x3f782c30, (q31_t)0x4845c64d, (q31_t)0x3f768d96, + (q31_t)0x48523c25, (q31_t)0x3f74ec8a, (q31_t)0x485eb1ab, (q31_t)0x3f73490b, + (q31_t)0x486b26de, (q31_t)0x3f71a31b, (q31_t)0x48779bbe, (q31_t)0x3f6ffab8, + (q31_t)0x4884104b, (q31_t)0x3f6e4fe3, (q31_t)0x48908483, (q31_t)0x3f6ca29c, + (q31_t)0x489cf867, (q31_t)0x3f6af2e3, (q31_t)0x48a96bf6, (q31_t)0x3f6940b8, + (q31_t)0x48b5df30, (q31_t)0x3f678c1c, (q31_t)0x48c25213, (q31_t)0x3f65d50d, + (q31_t)0x48cec4a0, (q31_t)0x3f641b8d, (q31_t)0x48db36d6, (q31_t)0x3f625f9b, + (q31_t)0x48e7a8b5, (q31_t)0x3f60a138, (q31_t)0x48f41a3c, (q31_t)0x3f5ee063, + (q31_t)0x49008b6a, (q31_t)0x3f5d1d1d, (q31_t)0x490cfc40, (q31_t)0x3f5b5765, + (q31_t)0x49196cbc, (q31_t)0x3f598f3c, (q31_t)0x4925dcdf, (q31_t)0x3f57c4a2, + (q31_t)0x49324ca7, (q31_t)0x3f55f796, (q31_t)0x493ebc14, (q31_t)0x3f54281a, + (q31_t)0x494b2b27, (q31_t)0x3f52562c, (q31_t)0x495799dd, (q31_t)0x3f5081cd, + (q31_t)0x49640837, (q31_t)0x3f4eaafe, (q31_t)0x49707635, (q31_t)0x3f4cd1be, + (q31_t)0x497ce3d5, (q31_t)0x3f4af60d, (q31_t)0x49895118, (q31_t)0x3f4917eb, + (q31_t)0x4995bdfd, (q31_t)0x3f473759, (q31_t)0x49a22a83, (q31_t)0x3f455456, + (q31_t)0x49ae96aa, (q31_t)0x3f436ee3, (q31_t)0x49bb0271, (q31_t)0x3f4186ff, + (q31_t)0x49c76dd8, (q31_t)0x3f3f9cab, (q31_t)0x49d3d8df, (q31_t)0x3f3dafe7, + (q31_t)0x49e04385, (q31_t)0x3f3bc0b3, (q31_t)0x49ecadc9, (q31_t)0x3f39cf0e, + (q31_t)0x49f917ac, (q31_t)0x3f37dafa, (q31_t)0x4a05812c, (q31_t)0x3f35e476, + (q31_t)0x4a11ea49, (q31_t)0x3f33eb81, (q31_t)0x4a1e5303, (q31_t)0x3f31f01d, + (q31_t)0x4a2abb59, (q31_t)0x3f2ff24a, (q31_t)0x4a37234a, (q31_t)0x3f2df206, + (q31_t)0x4a438ad7, (q31_t)0x3f2bef53, (q31_t)0x4a4ff1fe, (q31_t)0x3f29ea31, + (q31_t)0x4a5c58c0, (q31_t)0x3f27e29f, (q31_t)0x4a68bf1b, (q31_t)0x3f25d89e, + (q31_t)0x4a752510, (q31_t)0x3f23cc2e, (q31_t)0x4a818a9d, (q31_t)0x3f21bd4e, + (q31_t)0x4a8defc3, (q31_t)0x3f1fabff, (q31_t)0x4a9a5480, (q31_t)0x3f1d9842, + (q31_t)0x4aa6b8d5, (q31_t)0x3f1b8215, (q31_t)0x4ab31cc1, (q31_t)0x3f19697a, + (q31_t)0x4abf8043, (q31_t)0x3f174e70, (q31_t)0x4acbe35b, (q31_t)0x3f1530f7, + (q31_t)0x4ad84609, (q31_t)0x3f13110f, (q31_t)0x4ae4a84b, (q31_t)0x3f10eeb9, + (q31_t)0x4af10a22, (q31_t)0x3f0ec9f5, (q31_t)0x4afd6b8d, (q31_t)0x3f0ca2c2, + (q31_t)0x4b09cc8c, (q31_t)0x3f0a7921, (q31_t)0x4b162d1d, (q31_t)0x3f084d12, + (q31_t)0x4b228d42, (q31_t)0x3f061e95, (q31_t)0x4b2eecf8, (q31_t)0x3f03eda9, + (q31_t)0x4b3b4c40, (q31_t)0x3f01ba50, (q31_t)0x4b47ab19, (q31_t)0x3eff8489, + (q31_t)0x4b540982, (q31_t)0x3efd4c54, (q31_t)0x4b60677c, (q31_t)0x3efb11b1, + (q31_t)0x4b6cc506, (q31_t)0x3ef8d4a1, (q31_t)0x4b79221f, (q31_t)0x3ef69523, + (q31_t)0x4b857ec7, (q31_t)0x3ef45338, (q31_t)0x4b91dafc, (q31_t)0x3ef20ee0, + (q31_t)0x4b9e36c0, (q31_t)0x3eefc81a, (q31_t)0x4baa9211, (q31_t)0x3eed7ee7, + (q31_t)0x4bb6ecef, (q31_t)0x3eeb3347, (q31_t)0x4bc34759, (q31_t)0x3ee8e53a, + (q31_t)0x4bcfa150, (q31_t)0x3ee694c1, (q31_t)0x4bdbfad1, (q31_t)0x3ee441da, + (q31_t)0x4be853de, (q31_t)0x3ee1ec87, (q31_t)0x4bf4ac75, (q31_t)0x3edf94c7, + (q31_t)0x4c010496, (q31_t)0x3edd3a9a, (q31_t)0x4c0d5c41, (q31_t)0x3edade01, + (q31_t)0x4c19b374, (q31_t)0x3ed87efc, (q31_t)0x4c260a31, (q31_t)0x3ed61d8a, + (q31_t)0x4c326075, (q31_t)0x3ed3b9ad, (q31_t)0x4c3eb641, (q31_t)0x3ed15363, + (q31_t)0x4c4b0b94, (q31_t)0x3eceeaad, (q31_t)0x4c57606e, (q31_t)0x3ecc7f8b, + (q31_t)0x4c63b4ce, (q31_t)0x3eca11fe, (q31_t)0x4c7008b3, (q31_t)0x3ec7a205, + (q31_t)0x4c7c5c1e, (q31_t)0x3ec52fa0, (q31_t)0x4c88af0e, (q31_t)0x3ec2bad0, + (q31_t)0x4c950182, (q31_t)0x3ec04394, (q31_t)0x4ca1537a, (q31_t)0x3ebdc9ed, + (q31_t)0x4cada4f5, (q31_t)0x3ebb4ddb, (q31_t)0x4cb9f5f3, (q31_t)0x3eb8cf5d, + (q31_t)0x4cc64673, (q31_t)0x3eb64e75, (q31_t)0x4cd29676, (q31_t)0x3eb3cb21, + (q31_t)0x4cdee5f9, (q31_t)0x3eb14563, (q31_t)0x4ceb34fe, (q31_t)0x3eaebd3a, + (q31_t)0x4cf78383, (q31_t)0x3eac32a6, (q31_t)0x4d03d189, (q31_t)0x3ea9a5a8, + (q31_t)0x4d101f0e, (q31_t)0x3ea7163f, (q31_t)0x4d1c6c11, (q31_t)0x3ea4846c, + (q31_t)0x4d28b894, (q31_t)0x3ea1f02f, (q31_t)0x4d350495, (q31_t)0x3e9f5988, + (q31_t)0x4d415013, (q31_t)0x3e9cc076, (q31_t)0x4d4d9b0e, (q31_t)0x3e9a24fb, + (q31_t)0x4d59e586, (q31_t)0x3e978715, (q31_t)0x4d662f7b, (q31_t)0x3e94e6c6, + (q31_t)0x4d7278eb, (q31_t)0x3e92440d, (q31_t)0x4d7ec1d6, (q31_t)0x3e8f9eeb, + (q31_t)0x4d8b0a3d, (q31_t)0x3e8cf75f, (q31_t)0x4d97521d, (q31_t)0x3e8a4d6a, + (q31_t)0x4da39978, (q31_t)0x3e87a10c, (q31_t)0x4dafe04b, (q31_t)0x3e84f245, + (q31_t)0x4dbc2698, (q31_t)0x3e824114, (q31_t)0x4dc86c5d, (q31_t)0x3e7f8d7b, + (q31_t)0x4dd4b19a, (q31_t)0x3e7cd778, (q31_t)0x4de0f64f, (q31_t)0x3e7a1f0d, + (q31_t)0x4ded3a7b, (q31_t)0x3e77643a, (q31_t)0x4df97e1d, (q31_t)0x3e74a6fd, + (q31_t)0x4e05c135, (q31_t)0x3e71e759, (q31_t)0x4e1203c3, (q31_t)0x3e6f254c, + (q31_t)0x4e1e45c6, (q31_t)0x3e6c60d7, (q31_t)0x4e2a873e, (q31_t)0x3e6999fa, + (q31_t)0x4e36c82a, (q31_t)0x3e66d0b4, (q31_t)0x4e430889, (q31_t)0x3e640507, + (q31_t)0x4e4f485c, (q31_t)0x3e6136f3, (q31_t)0x4e5b87a2, (q31_t)0x3e5e6676, + (q31_t)0x4e67c65a, (q31_t)0x3e5b9392, (q31_t)0x4e740483, (q31_t)0x3e58be47, + (q31_t)0x4e80421e, (q31_t)0x3e55e694, (q31_t)0x4e8c7f2a, (q31_t)0x3e530c7a, + (q31_t)0x4e98bba7, (q31_t)0x3e502ff9, (q31_t)0x4ea4f793, (q31_t)0x3e4d5110, + (q31_t)0x4eb132ef, (q31_t)0x3e4a6fc1, (q31_t)0x4ebd6db9, (q31_t)0x3e478c0b, + (q31_t)0x4ec9a7f3, (q31_t)0x3e44a5ef, (q31_t)0x4ed5e19a, (q31_t)0x3e41bd6c, + (q31_t)0x4ee21aaf, (q31_t)0x3e3ed282, (q31_t)0x4eee5331, (q31_t)0x3e3be532, + (q31_t)0x4efa8b20, (q31_t)0x3e38f57c, (q31_t)0x4f06c27a, (q31_t)0x3e360360, + (q31_t)0x4f12f941, (q31_t)0x3e330ede, (q31_t)0x4f1f2f73, (q31_t)0x3e3017f6, + (q31_t)0x4f2b650f, (q31_t)0x3e2d1ea8, (q31_t)0x4f379a16, (q31_t)0x3e2a22f4, + (q31_t)0x4f43ce86, (q31_t)0x3e2724db, (q31_t)0x4f500260, (q31_t)0x3e24245d, + (q31_t)0x4f5c35a3, (q31_t)0x3e212179, (q31_t)0x4f68684e, (q31_t)0x3e1e1c30, + (q31_t)0x4f749a61, (q31_t)0x3e1b1482, (q31_t)0x4f80cbdc, (q31_t)0x3e180a6f, + (q31_t)0x4f8cfcbe, (q31_t)0x3e14fdf7, (q31_t)0x4f992d06, (q31_t)0x3e11ef1b, + (q31_t)0x4fa55cb4, (q31_t)0x3e0eddd9, (q31_t)0x4fb18bc8, (q31_t)0x3e0bca34, + (q31_t)0x4fbdba40, (q31_t)0x3e08b42a, (q31_t)0x4fc9e81e, (q31_t)0x3e059bbb, + (q31_t)0x4fd6155f, (q31_t)0x3e0280e9, (q31_t)0x4fe24205, (q31_t)0x3dff63b2, + (q31_t)0x4fee6e0d, (q31_t)0x3dfc4418, (q31_t)0x4ffa9979, (q31_t)0x3df9221a, + (q31_t)0x5006c446, (q31_t)0x3df5fdb8, (q31_t)0x5012ee76, (q31_t)0x3df2d6f3, + (q31_t)0x501f1807, (q31_t)0x3defadca, (q31_t)0x502b40f8, (q31_t)0x3dec823e, + (q31_t)0x5037694b, (q31_t)0x3de9544f, (q31_t)0x504390fd, (q31_t)0x3de623fd, + (q31_t)0x504fb80e, (q31_t)0x3de2f148, (q31_t)0x505bde7f, (q31_t)0x3ddfbc30, + (q31_t)0x5068044e, (q31_t)0x3ddc84b5, (q31_t)0x5074297b, (q31_t)0x3dd94ad8, + (q31_t)0x50804e06, (q31_t)0x3dd60e99, (q31_t)0x508c71ee, (q31_t)0x3dd2cff7, + (q31_t)0x50989532, (q31_t)0x3dcf8ef3, (q31_t)0x50a4b7d3, (q31_t)0x3dcc4b8d, + (q31_t)0x50b0d9d0, (q31_t)0x3dc905c5, (q31_t)0x50bcfb28, (q31_t)0x3dc5bd9b, + (q31_t)0x50c91bda, (q31_t)0x3dc2730f, (q31_t)0x50d53be7, (q31_t)0x3dbf2622, + (q31_t)0x50e15b4e, (q31_t)0x3dbbd6d4, (q31_t)0x50ed7a0e, (q31_t)0x3db88524, + (q31_t)0x50f99827, (q31_t)0x3db53113, (q31_t)0x5105b599, (q31_t)0x3db1daa2, + (q31_t)0x5111d263, (q31_t)0x3dae81cf, (q31_t)0x511dee84, (q31_t)0x3dab269b, + (q31_t)0x512a09fc, (q31_t)0x3da7c907, (q31_t)0x513624cb, (q31_t)0x3da46912, + (q31_t)0x51423ef0, (q31_t)0x3da106bd, (q31_t)0x514e586a, (q31_t)0x3d9da208, + (q31_t)0x515a713a, (q31_t)0x3d9a3af2, (q31_t)0x5166895f, (q31_t)0x3d96d17d, + (q31_t)0x5172a0d7, (q31_t)0x3d9365a8, (q31_t)0x517eb7a4, (q31_t)0x3d8ff772, + (q31_t)0x518acdc4, (q31_t)0x3d8c86de, (q31_t)0x5196e337, (q31_t)0x3d8913ea, + (q31_t)0x51a2f7fc, (q31_t)0x3d859e96, (q31_t)0x51af0c13, (q31_t)0x3d8226e4, + (q31_t)0x51bb1f7c, (q31_t)0x3d7eacd2, (q31_t)0x51c73235, (q31_t)0x3d7b3061, + (q31_t)0x51d3443f, (q31_t)0x3d77b192, (q31_t)0x51df5599, (q31_t)0x3d743064, + (q31_t)0x51eb6643, (q31_t)0x3d70acd7, (q31_t)0x51f7763c, (q31_t)0x3d6d26ec, + (q31_t)0x52038584, (q31_t)0x3d699ea3, (q31_t)0x520f941a, (q31_t)0x3d6613fb, + (q31_t)0x521ba1fd, (q31_t)0x3d6286f6, (q31_t)0x5227af2e, (q31_t)0x3d5ef793, + (q31_t)0x5233bbac, (q31_t)0x3d5b65d2, (q31_t)0x523fc776, (q31_t)0x3d57d1b3, + (q31_t)0x524bd28c, (q31_t)0x3d543b37, (q31_t)0x5257dced, (q31_t)0x3d50a25e, + (q31_t)0x5263e699, (q31_t)0x3d4d0728, (q31_t)0x526fef90, (q31_t)0x3d496994, + (q31_t)0x527bf7d1, (q31_t)0x3d45c9a4, (q31_t)0x5287ff5b, (q31_t)0x3d422757, + (q31_t)0x5294062f, (q31_t)0x3d3e82ae, (q31_t)0x52a00c4b, (q31_t)0x3d3adba7, + (q31_t)0x52ac11af, (q31_t)0x3d373245, (q31_t)0x52b8165b, (q31_t)0x3d338687, + (q31_t)0x52c41a4f, (q31_t)0x3d2fd86c, (q31_t)0x52d01d89, (q31_t)0x3d2c27f6, + (q31_t)0x52dc2009, (q31_t)0x3d287523, (q31_t)0x52e821cf, (q31_t)0x3d24bff6, + (q31_t)0x52f422db, (q31_t)0x3d21086c, (q31_t)0x5300232c, (q31_t)0x3d1d4e88, + (q31_t)0x530c22c1, (q31_t)0x3d199248, (q31_t)0x5318219a, (q31_t)0x3d15d3ad, + (q31_t)0x53241fb6, (q31_t)0x3d1212b7, (q31_t)0x53301d16, (q31_t)0x3d0e4f67, + (q31_t)0x533c19b8, (q31_t)0x3d0a89bc, (q31_t)0x5348159d, (q31_t)0x3d06c1b6, + (q31_t)0x535410c3, (q31_t)0x3d02f757, (q31_t)0x53600b2a, (q31_t)0x3cff2a9d, + (q31_t)0x536c04d2, (q31_t)0x3cfb5b89, (q31_t)0x5377fdbb, (q31_t)0x3cf78a1b, + (q31_t)0x5383f5e3, (q31_t)0x3cf3b653, (q31_t)0x538fed4b, (q31_t)0x3cefe032, + (q31_t)0x539be3f2, (q31_t)0x3cec07b8, (q31_t)0x53a7d9d7, (q31_t)0x3ce82ce4, + (q31_t)0x53b3cefa, (q31_t)0x3ce44fb7, (q31_t)0x53bfc35b, (q31_t)0x3ce07031, + (q31_t)0x53cbb6f8, (q31_t)0x3cdc8e52, (q31_t)0x53d7a9d3, (q31_t)0x3cd8aa1b, + (q31_t)0x53e39be9, (q31_t)0x3cd4c38b, (q31_t)0x53ef8d3c, (q31_t)0x3cd0daa2, + (q31_t)0x53fb7dc9, (q31_t)0x3cccef62, (q31_t)0x54076d91, (q31_t)0x3cc901c9, + (q31_t)0x54135c94, (q31_t)0x3cc511d9, (q31_t)0x541f4ad1, (q31_t)0x3cc11f90, + (q31_t)0x542b3846, (q31_t)0x3cbd2af0, (q31_t)0x543724f5, (q31_t)0x3cb933f9, + (q31_t)0x544310dd, (q31_t)0x3cb53aaa, (q31_t)0x544efbfc, (q31_t)0x3cb13f04, + (q31_t)0x545ae653, (q31_t)0x3cad4107, (q31_t)0x5466cfe1, (q31_t)0x3ca940b3, + (q31_t)0x5472b8a5, (q31_t)0x3ca53e09, (q31_t)0x547ea0a0, (q31_t)0x3ca13908, + (q31_t)0x548a87d1, (q31_t)0x3c9d31b0, (q31_t)0x54966e36, (q31_t)0x3c992803, + (q31_t)0x54a253d1, (q31_t)0x3c951bff, (q31_t)0x54ae38a0, (q31_t)0x3c910da5, + (q31_t)0x54ba1ca3, (q31_t)0x3c8cfcf6, (q31_t)0x54c5ffd9, (q31_t)0x3c88e9f1, + (q31_t)0x54d1e242, (q31_t)0x3c84d496, (q31_t)0x54ddc3de, (q31_t)0x3c80bce7, + (q31_t)0x54e9a4ac, (q31_t)0x3c7ca2e2, (q31_t)0x54f584ac, (q31_t)0x3c788688, + (q31_t)0x550163dc, (q31_t)0x3c7467d9, (q31_t)0x550d423d, (q31_t)0x3c7046d6, + (q31_t)0x55191fcf, (q31_t)0x3c6c237e, (q31_t)0x5524fc90, (q31_t)0x3c67fdd1, + (q31_t)0x5530d881, (q31_t)0x3c63d5d1, (q31_t)0x553cb3a0, (q31_t)0x3c5fab7c, + (q31_t)0x55488dee, (q31_t)0x3c5b7ed4, (q31_t)0x5554676a, (q31_t)0x3c574fd8, + (q31_t)0x55604013, (q31_t)0x3c531e88, (q31_t)0x556c17e9, (q31_t)0x3c4eeae5, + (q31_t)0x5577eeec, (q31_t)0x3c4ab4ef, (q31_t)0x5583c51b, (q31_t)0x3c467ca6, + (q31_t)0x558f9a76, (q31_t)0x3c42420a, (q31_t)0x559b6efb, (q31_t)0x3c3e051b, + (q31_t)0x55a742ac, (q31_t)0x3c39c5da, (q31_t)0x55b31587, (q31_t)0x3c358446, + (q31_t)0x55bee78c, (q31_t)0x3c314060, (q31_t)0x55cab8ba, (q31_t)0x3c2cfa28, + (q31_t)0x55d68911, (q31_t)0x3c28b19e, (q31_t)0x55e25890, (q31_t)0x3c2466c2, + (q31_t)0x55ee2738, (q31_t)0x3c201994, (q31_t)0x55f9f507, (q31_t)0x3c1bca16, + (q31_t)0x5605c1fd, (q31_t)0x3c177845, (q31_t)0x56118e1a, (q31_t)0x3c132424, + (q31_t)0x561d595d, (q31_t)0x3c0ecdb2, (q31_t)0x562923c5, (q31_t)0x3c0a74f0, + (q31_t)0x5634ed53, (q31_t)0x3c0619dc, (q31_t)0x5640b606, (q31_t)0x3c01bc78, + (q31_t)0x564c7ddd, (q31_t)0x3bfd5cc4, (q31_t)0x565844d8, (q31_t)0x3bf8fac0, + (q31_t)0x56640af7, (q31_t)0x3bf4966c, (q31_t)0x566fd039, (q31_t)0x3bf02fc9, + (q31_t)0x567b949d, (q31_t)0x3bebc6d5, (q31_t)0x56875823, (q31_t)0x3be75b93, + (q31_t)0x56931acb, (q31_t)0x3be2ee01, (q31_t)0x569edc94, (q31_t)0x3bde7e20, + (q31_t)0x56aa9d7e, (q31_t)0x3bda0bf0, (q31_t)0x56b65d88, (q31_t)0x3bd59771, + (q31_t)0x56c21cb2, (q31_t)0x3bd120a4, (q31_t)0x56cddafb, (q31_t)0x3bcca789, + (q31_t)0x56d99864, (q31_t)0x3bc82c1f, (q31_t)0x56e554ea, (q31_t)0x3bc3ae67, + (q31_t)0x56f1108f, (q31_t)0x3bbf2e62, (q31_t)0x56fccb51, (q31_t)0x3bbaac0e, + (q31_t)0x57088531, (q31_t)0x3bb6276e, (q31_t)0x57143e2d, (q31_t)0x3bb1a080, + (q31_t)0x571ff646, (q31_t)0x3bad1744, (q31_t)0x572bad7a, (q31_t)0x3ba88bbc, + (q31_t)0x573763c9, (q31_t)0x3ba3fde7, (q31_t)0x57431933, (q31_t)0x3b9f6dc5, + (q31_t)0x574ecdb8, (q31_t)0x3b9adb57, (q31_t)0x575a8157, (q31_t)0x3b96469d, + (q31_t)0x5766340f, (q31_t)0x3b91af97, (q31_t)0x5771e5e0, (q31_t)0x3b8d1644, + (q31_t)0x577d96ca, (q31_t)0x3b887aa6, (q31_t)0x578946cc, (q31_t)0x3b83dcbc, + (q31_t)0x5794f5e6, (q31_t)0x3b7f3c87, (q31_t)0x57a0a417, (q31_t)0x3b7a9a07, + (q31_t)0x57ac515f, (q31_t)0x3b75f53c, (q31_t)0x57b7fdbd, (q31_t)0x3b714e25, + (q31_t)0x57c3a931, (q31_t)0x3b6ca4c4, (q31_t)0x57cf53bb, (q31_t)0x3b67f919, + (q31_t)0x57dafd59, (q31_t)0x3b634b23, (q31_t)0x57e6a60c, (q31_t)0x3b5e9ae4, + (q31_t)0x57f24dd3, (q31_t)0x3b59e85a, (q31_t)0x57fdf4ae, (q31_t)0x3b553386, + (q31_t)0x58099a9c, (q31_t)0x3b507c69, (q31_t)0x58153f9d, (q31_t)0x3b4bc303, + (q31_t)0x5820e3b0, (q31_t)0x3b470753, (q31_t)0x582c86d5, (q31_t)0x3b42495a, + (q31_t)0x5838290c, (q31_t)0x3b3d8918, (q31_t)0x5843ca53, (q31_t)0x3b38c68e, + (q31_t)0x584f6aab, (q31_t)0x3b3401bb, (q31_t)0x585b0a13, (q31_t)0x3b2f3aa0, + (q31_t)0x5866a88a, (q31_t)0x3b2a713d, (q31_t)0x58724611, (q31_t)0x3b25a591, + (q31_t)0x587de2a7, (q31_t)0x3b20d79e, (q31_t)0x58897e4a, (q31_t)0x3b1c0764, + (q31_t)0x589518fc, (q31_t)0x3b1734e2, (q31_t)0x58a0b2bb, (q31_t)0x3b126019, + (q31_t)0x58ac4b87, (q31_t)0x3b0d8909, (q31_t)0x58b7e35f, (q31_t)0x3b08afb2, + (q31_t)0x58c37a44, (q31_t)0x3b03d414, (q31_t)0x58cf1034, (q31_t)0x3afef630, + (q31_t)0x58daa52f, (q31_t)0x3afa1605, (q31_t)0x58e63935, (q31_t)0x3af53395, + (q31_t)0x58f1cc45, (q31_t)0x3af04edf, (q31_t)0x58fd5e5f, (q31_t)0x3aeb67e3, + (q31_t)0x5908ef82, (q31_t)0x3ae67ea1, (q31_t)0x59147fae, (q31_t)0x3ae1931a, + (q31_t)0x59200ee3, (q31_t)0x3adca54e, (q31_t)0x592b9d1f, (q31_t)0x3ad7b53d, + (q31_t)0x59372a64, (q31_t)0x3ad2c2e8, (q31_t)0x5942b6af, (q31_t)0x3acdce4d, + (q31_t)0x594e4201, (q31_t)0x3ac8d76f, (q31_t)0x5959cc5a, (q31_t)0x3ac3de4c, + (q31_t)0x596555b8, (q31_t)0x3abee2e5, (q31_t)0x5970de1b, (q31_t)0x3ab9e53a, + (q31_t)0x597c6584, (q31_t)0x3ab4e54c, (q31_t)0x5987ebf0, (q31_t)0x3aafe31b, + (q31_t)0x59937161, (q31_t)0x3aaadea6, (q31_t)0x599ef5d6, (q31_t)0x3aa5d7ee, + (q31_t)0x59aa794d, (q31_t)0x3aa0cef3, (q31_t)0x59b5fbc8, (q31_t)0x3a9bc3b6, + (q31_t)0x59c17d44, (q31_t)0x3a96b636, (q31_t)0x59ccfdc2, (q31_t)0x3a91a674, + (q31_t)0x59d87d42, (q31_t)0x3a8c9470, (q31_t)0x59e3fbc3, (q31_t)0x3a87802a, + (q31_t)0x59ef7944, (q31_t)0x3a8269a3, (q31_t)0x59faf5c5, (q31_t)0x3a7d50da, + (q31_t)0x5a067145, (q31_t)0x3a7835cf, (q31_t)0x5a11ebc5, (q31_t)0x3a731884, + (q31_t)0x5a1d6544, (q31_t)0x3a6df8f8, (q31_t)0x5a28ddc0, (q31_t)0x3a68d72b, + (q31_t)0x5a34553b, (q31_t)0x3a63b31d, (q31_t)0x5a3fcbb3, (q31_t)0x3a5e8cd0, + (q31_t)0x5a4b4128, (q31_t)0x3a596442, (q31_t)0x5a56b599, (q31_t)0x3a543974, + (q31_t)0x5a622907, (q31_t)0x3a4f0c67, (q31_t)0x5a6d9b70, (q31_t)0x3a49dd1a, + (q31_t)0x5a790cd4, (q31_t)0x3a44ab8e, (q31_t)0x5a847d33, (q31_t)0x3a3f77c3, + (q31_t)0x5a8fec8c, (q31_t)0x3a3a41b9, (q31_t)0x5a9b5adf, (q31_t)0x3a350970, + (q31_t)0x5aa6c82b, (q31_t)0x3a2fcee8, (q31_t)0x5ab23471, (q31_t)0x3a2a9223, + (q31_t)0x5abd9faf, (q31_t)0x3a25531f, (q31_t)0x5ac909e5, (q31_t)0x3a2011de, + (q31_t)0x5ad47312, (q31_t)0x3a1ace5f, (q31_t)0x5adfdb37, (q31_t)0x3a1588a2, + (q31_t)0x5aeb4253, (q31_t)0x3a1040a8, (q31_t)0x5af6a865, (q31_t)0x3a0af671, + (q31_t)0x5b020d6c, (q31_t)0x3a05a9fd, (q31_t)0x5b0d716a, (q31_t)0x3a005b4d, + (q31_t)0x5b18d45c, (q31_t)0x39fb0a60, (q31_t)0x5b243643, (q31_t)0x39f5b737, + (q31_t)0x5b2f971e, (q31_t)0x39f061d2, (q31_t)0x5b3af6ec, (q31_t)0x39eb0a31, + (q31_t)0x5b4655ae, (q31_t)0x39e5b054, (q31_t)0x5b51b363, (q31_t)0x39e0543c, + (q31_t)0x5b5d100a, (q31_t)0x39daf5e8, (q31_t)0x5b686ba3, (q31_t)0x39d5955a, + (q31_t)0x5b73c62d, (q31_t)0x39d03291, (q31_t)0x5b7f1fa9, (q31_t)0x39cacd8d, + (q31_t)0x5b8a7815, (q31_t)0x39c5664f, (q31_t)0x5b95cf71, (q31_t)0x39bffcd7, + (q31_t)0x5ba125bd, (q31_t)0x39ba9125, (q31_t)0x5bac7af9, (q31_t)0x39b52339, + (q31_t)0x5bb7cf23, (q31_t)0x39afb313, (q31_t)0x5bc3223c, (q31_t)0x39aa40b4, + (q31_t)0x5bce7442, (q31_t)0x39a4cc1c, (q31_t)0x5bd9c537, (q31_t)0x399f554b, + (q31_t)0x5be51518, (q31_t)0x3999dc42, (q31_t)0x5bf063e6, (q31_t)0x399460ff, + (q31_t)0x5bfbb1a0, (q31_t)0x398ee385, (q31_t)0x5c06fe46, (q31_t)0x398963d2, + (q31_t)0x5c1249d8, (q31_t)0x3983e1e8, (q31_t)0x5c1d9454, (q31_t)0x397e5dc6, + (q31_t)0x5c28ddbb, (q31_t)0x3978d76c, (q31_t)0x5c34260c, (q31_t)0x39734edc, + (q31_t)0x5c3f6d47, (q31_t)0x396dc414, (q31_t)0x5c4ab36b, (q31_t)0x39683715, + (q31_t)0x5c55f878, (q31_t)0x3962a7e0, (q31_t)0x5c613c6d, (q31_t)0x395d1675, + (q31_t)0x5c6c7f4a, (q31_t)0x395782d3, (q31_t)0x5c77c10e, (q31_t)0x3951ecfc, + (q31_t)0x5c8301b9, (q31_t)0x394c54ee, (q31_t)0x5c8e414b, (q31_t)0x3946baac, + (q31_t)0x5c997fc4, (q31_t)0x39411e33, (q31_t)0x5ca4bd21, (q31_t)0x393b7f86, + (q31_t)0x5caff965, (q31_t)0x3935dea4, (q31_t)0x5cbb348d, (q31_t)0x39303b8e, + (q31_t)0x5cc66e99, (q31_t)0x392a9642, (q31_t)0x5cd1a78a, (q31_t)0x3924eec3, + (q31_t)0x5cdcdf5e, (q31_t)0x391f4510, (q31_t)0x5ce81615, (q31_t)0x39199929, + (q31_t)0x5cf34baf, (q31_t)0x3913eb0e, (q31_t)0x5cfe802b, (q31_t)0x390e3ac0, + (q31_t)0x5d09b389, (q31_t)0x3908883f, (q31_t)0x5d14e5c9, (q31_t)0x3902d38b, + (q31_t)0x5d2016e9, (q31_t)0x38fd1ca4, (q31_t)0x5d2b46ea, (q31_t)0x38f7638b, + (q31_t)0x5d3675cb, (q31_t)0x38f1a840, (q31_t)0x5d41a38c, (q31_t)0x38ebeac2, + (q31_t)0x5d4cd02c, (q31_t)0x38e62b13, (q31_t)0x5d57fbaa, (q31_t)0x38e06932, + (q31_t)0x5d632608, (q31_t)0x38daa520, (q31_t)0x5d6e4f43, (q31_t)0x38d4dedd, + (q31_t)0x5d79775c, (q31_t)0x38cf1669, (q31_t)0x5d849e51, (q31_t)0x38c94bc4, + (q31_t)0x5d8fc424, (q31_t)0x38c37eef, (q31_t)0x5d9ae8d2, (q31_t)0x38bdafea, + (q31_t)0x5da60c5d, (q31_t)0x38b7deb4, (q31_t)0x5db12ec3, (q31_t)0x38b20b4f, + (q31_t)0x5dbc5004, (q31_t)0x38ac35ba, (q31_t)0x5dc7701f, (q31_t)0x38a65df6, + (q31_t)0x5dd28f15, (q31_t)0x38a08402, (q31_t)0x5dddace4, (q31_t)0x389aa7e0, + (q31_t)0x5de8c98c, (q31_t)0x3894c98f, (q31_t)0x5df3e50d, (q31_t)0x388ee910, + (q31_t)0x5dfeff67, (q31_t)0x38890663, (q31_t)0x5e0a1898, (q31_t)0x38832187, + (q31_t)0x5e1530a1, (q31_t)0x387d3a7e, (q31_t)0x5e204781, (q31_t)0x38775147, + (q31_t)0x5e2b5d38, (q31_t)0x387165e3, (q31_t)0x5e3671c5, (q31_t)0x386b7852, + (q31_t)0x5e418528, (q31_t)0x38658894, (q31_t)0x5e4c9760, (q31_t)0x385f96a9, + (q31_t)0x5e57a86d, (q31_t)0x3859a292, (q31_t)0x5e62b84f, (q31_t)0x3853ac4f, + (q31_t)0x5e6dc705, (q31_t)0x384db3e0, (q31_t)0x5e78d48e, (q31_t)0x3847b946, + (q31_t)0x5e83e0eb, (q31_t)0x3841bc7f, (q31_t)0x5e8eec1b, (q31_t)0x383bbd8e, + (q31_t)0x5e99f61d, (q31_t)0x3835bc71, (q31_t)0x5ea4fef0, (q31_t)0x382fb92a, + (q31_t)0x5eb00696, (q31_t)0x3829b3b9, (q31_t)0x5ebb0d0d, (q31_t)0x3823ac1d, + (q31_t)0x5ec61254, (q31_t)0x381da256, (q31_t)0x5ed1166b, (q31_t)0x38179666, + (q31_t)0x5edc1953, (q31_t)0x3811884d, (q31_t)0x5ee71b0a, (q31_t)0x380b780a, + (q31_t)0x5ef21b90, (q31_t)0x3805659e, (q31_t)0x5efd1ae4, (q31_t)0x37ff5109, + (q31_t)0x5f081907, (q31_t)0x37f93a4b, (q31_t)0x5f1315f7, (q31_t)0x37f32165, + (q31_t)0x5f1e11b5, (q31_t)0x37ed0657, (q31_t)0x5f290c3f, (q31_t)0x37e6e921, + (q31_t)0x5f340596, (q31_t)0x37e0c9c3, (q31_t)0x5f3efdb9, (q31_t)0x37daa83d, + (q31_t)0x5f49f4a8, (q31_t)0x37d48490, (q31_t)0x5f54ea62, (q31_t)0x37ce5ebd, + (q31_t)0x5f5fdee6, (q31_t)0x37c836c2, (q31_t)0x5f6ad235, (q31_t)0x37c20ca1, + (q31_t)0x5f75c44e, (q31_t)0x37bbe05a, (q31_t)0x5f80b531, (q31_t)0x37b5b1ec, + (q31_t)0x5f8ba4dc, (q31_t)0x37af8159, (q31_t)0x5f969350, (q31_t)0x37a94ea0, + (q31_t)0x5fa1808c, (q31_t)0x37a319c2, (q31_t)0x5fac6c91, (q31_t)0x379ce2be, + (q31_t)0x5fb7575c, (q31_t)0x3796a996, (q31_t)0x5fc240ef, (q31_t)0x37906e49, + (q31_t)0x5fcd2948, (q31_t)0x378a30d8, (q31_t)0x5fd81067, (q31_t)0x3783f143, + (q31_t)0x5fe2f64c, (q31_t)0x377daf89, (q31_t)0x5feddaf6, (q31_t)0x37776bac, + (q31_t)0x5ff8be65, (q31_t)0x377125ac, (q31_t)0x6003a099, (q31_t)0x376add88, + (q31_t)0x600e8190, (q31_t)0x37649341, (q31_t)0x6019614c, (q31_t)0x375e46d8, + (q31_t)0x60243fca, (q31_t)0x3757f84c, (q31_t)0x602f1d0b, (q31_t)0x3751a79e, + (q31_t)0x6039f90f, (q31_t)0x374b54ce, (q31_t)0x6044d3d4, (q31_t)0x3744ffdd, + (q31_t)0x604fad5b, (q31_t)0x373ea8ca, (q31_t)0x605a85a3, (q31_t)0x37384f95, + (q31_t)0x60655cac, (q31_t)0x3731f440, (q31_t)0x60703275, (q31_t)0x372b96ca, + (q31_t)0x607b06fe, (q31_t)0x37253733, (q31_t)0x6085da46, (q31_t)0x371ed57c, + (q31_t)0x6090ac4d, (q31_t)0x371871a5, (q31_t)0x609b7d13, (q31_t)0x37120bae, + (q31_t)0x60a64c97, (q31_t)0x370ba398, (q31_t)0x60b11ad9, (q31_t)0x37053962, + (q31_t)0x60bbe7d8, (q31_t)0x36fecd0e, (q31_t)0x60c6b395, (q31_t)0x36f85e9a, + (q31_t)0x60d17e0d, (q31_t)0x36f1ee09, (q31_t)0x60dc4742, (q31_t)0x36eb7b58, + (q31_t)0x60e70f32, (q31_t)0x36e5068a, (q31_t)0x60f1d5de, (q31_t)0x36de8f9e, + (q31_t)0x60fc9b44, (q31_t)0x36d81695, (q31_t)0x61075f65, (q31_t)0x36d19b6e, + (q31_t)0x61122240, (q31_t)0x36cb1e2a, (q31_t)0x611ce3d5, (q31_t)0x36c49ec9, + (q31_t)0x6127a423, (q31_t)0x36be1d4c, (q31_t)0x61326329, (q31_t)0x36b799b3, + (q31_t)0x613d20e8, (q31_t)0x36b113fd, (q31_t)0x6147dd5f, (q31_t)0x36aa8c2c, + (q31_t)0x6152988d, (q31_t)0x36a4023f, (q31_t)0x615d5273, (q31_t)0x369d7637, + (q31_t)0x61680b0f, (q31_t)0x3696e814, (q31_t)0x6172c262, (q31_t)0x369057d6, + (q31_t)0x617d786a, (q31_t)0x3689c57d, (q31_t)0x61882d28, (q31_t)0x3683310b, + (q31_t)0x6192e09b, (q31_t)0x367c9a7e, (q31_t)0x619d92c2, (q31_t)0x367601d7, + (q31_t)0x61a8439e, (q31_t)0x366f6717, (q31_t)0x61b2f32e, (q31_t)0x3668ca3e, + (q31_t)0x61bda171, (q31_t)0x36622b4c, (q31_t)0x61c84e67, (q31_t)0x365b8a41, + (q31_t)0x61d2fa0f, (q31_t)0x3654e71d, (q31_t)0x61dda46a, (q31_t)0x364e41e2, + (q31_t)0x61e84d76, (q31_t)0x36479a8e, (q31_t)0x61f2f534, (q31_t)0x3640f123, + (q31_t)0x61fd9ba3, (q31_t)0x363a45a0, (q31_t)0x620840c2, (q31_t)0x36339806, + (q31_t)0x6212e492, (q31_t)0x362ce855, (q31_t)0x621d8711, (q31_t)0x3626368d, + (q31_t)0x6228283f, (q31_t)0x361f82af, (q31_t)0x6232c81c, (q31_t)0x3618ccba, + (q31_t)0x623d66a8, (q31_t)0x361214b0, (q31_t)0x624803e2, (q31_t)0x360b5a90, + (q31_t)0x62529fca, (q31_t)0x36049e5b, (q31_t)0x625d3a5e, (q31_t)0x35fde011, + (q31_t)0x6267d3a0, (q31_t)0x35f71fb1, (q31_t)0x62726b8e, (q31_t)0x35f05d3d, + (q31_t)0x627d0228, (q31_t)0x35e998b5, (q31_t)0x6287976e, (q31_t)0x35e2d219, + (q31_t)0x62922b5e, (q31_t)0x35dc0968, (q31_t)0x629cbdfa, (q31_t)0x35d53ea5, + (q31_t)0x62a74f40, (q31_t)0x35ce71ce, (q31_t)0x62b1df30, (q31_t)0x35c7a2e3, + (q31_t)0x62bc6dca, (q31_t)0x35c0d1e7, (q31_t)0x62c6fb0c, (q31_t)0x35b9fed7, + (q31_t)0x62d186f8, (q31_t)0x35b329b5, (q31_t)0x62dc118c, (q31_t)0x35ac5282, + (q31_t)0x62e69ac8, (q31_t)0x35a5793c, (q31_t)0x62f122ab, (q31_t)0x359e9de5, + (q31_t)0x62fba936, (q31_t)0x3597c07d, (q31_t)0x63062e67, (q31_t)0x3590e104, + (q31_t)0x6310b23e, (q31_t)0x3589ff7a, (q31_t)0x631b34bc, (q31_t)0x35831be0, + (q31_t)0x6325b5df, (q31_t)0x357c3636, (q31_t)0x633035a7, (q31_t)0x35754e7c, + (q31_t)0x633ab414, (q31_t)0x356e64b2, (q31_t)0x63453125, (q31_t)0x356778d9, + (q31_t)0x634facda, (q31_t)0x35608af1, (q31_t)0x635a2733, (q31_t)0x35599afa, + (q31_t)0x6364a02e, (q31_t)0x3552a8f4, (q31_t)0x636f17cc, (q31_t)0x354bb4e1, + (q31_t)0x63798e0d, (q31_t)0x3544bebf, (q31_t)0x638402ef, (q31_t)0x353dc68f, + (q31_t)0x638e7673, (q31_t)0x3536cc52, (q31_t)0x6398e898, (q31_t)0x352fd008, + (q31_t)0x63a3595e, (q31_t)0x3528d1b1, (q31_t)0x63adc8c4, (q31_t)0x3521d14d, + (q31_t)0x63b836ca, (q31_t)0x351acedd, (q31_t)0x63c2a36f, (q31_t)0x3513ca60, + (q31_t)0x63cd0eb3, (q31_t)0x350cc3d8, (q31_t)0x63d77896, (q31_t)0x3505bb44, + (q31_t)0x63e1e117, (q31_t)0x34feb0a5, (q31_t)0x63ec4837, (q31_t)0x34f7a3fb, + (q31_t)0x63f6adf3, (q31_t)0x34f09546, (q31_t)0x6401124d, (q31_t)0x34e98487, + (q31_t)0x640b7543, (q31_t)0x34e271bd, (q31_t)0x6415d6d5, (q31_t)0x34db5cea, + (q31_t)0x64203704, (q31_t)0x34d4460c, (q31_t)0x642a95ce, (q31_t)0x34cd2d26, + (q31_t)0x6434f332, (q31_t)0x34c61236, (q31_t)0x643f4f32, (q31_t)0x34bef53d, + (q31_t)0x6449a9cc, (q31_t)0x34b7d63c, (q31_t)0x645402ff, (q31_t)0x34b0b533, + (q31_t)0x645e5acc, (q31_t)0x34a99221, (q31_t)0x6468b132, (q31_t)0x34a26d08, + (q31_t)0x64730631, (q31_t)0x349b45e7, (q31_t)0x647d59c8, (q31_t)0x34941cbf, + (q31_t)0x6487abf7, (q31_t)0x348cf190, (q31_t)0x6491fcbe, (q31_t)0x3485c45b, + (q31_t)0x649c4c1b, (q31_t)0x347e951f, (q31_t)0x64a69a0f, (q31_t)0x347763dd, + (q31_t)0x64b0e699, (q31_t)0x34703095, (q31_t)0x64bb31ba, (q31_t)0x3468fb47, + (q31_t)0x64c57b6f, (q31_t)0x3461c3f5, (q31_t)0x64cfc3ba, (q31_t)0x345a8a9d, + (q31_t)0x64da0a9a, (q31_t)0x34534f41, (q31_t)0x64e4500e, (q31_t)0x344c11e0, + (q31_t)0x64ee9415, (q31_t)0x3444d27b, (q31_t)0x64f8d6b0, (q31_t)0x343d9112, + (q31_t)0x650317df, (q31_t)0x34364da6, (q31_t)0x650d57a0, (q31_t)0x342f0836, + (q31_t)0x651795f3, (q31_t)0x3427c0c3, (q31_t)0x6521d2d8, (q31_t)0x3420774d, + (q31_t)0x652c0e4f, (q31_t)0x34192bd5, (q31_t)0x65364857, (q31_t)0x3411de5b, + (q31_t)0x654080ef, (q31_t)0x340a8edf, (q31_t)0x654ab818, (q31_t)0x34033d61, + (q31_t)0x6554edd1, (q31_t)0x33fbe9e2, (q31_t)0x655f2219, (q31_t)0x33f49462, + (q31_t)0x656954f1, (q31_t)0x33ed3ce1, (q31_t)0x65738657, (q31_t)0x33e5e360, + (q31_t)0x657db64c, (q31_t)0x33de87de, (q31_t)0x6587e4cf, (q31_t)0x33d72a5d, + (q31_t)0x659211df, (q31_t)0x33cfcadc, (q31_t)0x659c3d7c, (q31_t)0x33c8695b, + (q31_t)0x65a667a7, (q31_t)0x33c105db, (q31_t)0x65b0905d, (q31_t)0x33b9a05d, + (q31_t)0x65bab7a0, (q31_t)0x33b238e0, (q31_t)0x65c4dd6e, (q31_t)0x33aacf65, + (q31_t)0x65cf01c8, (q31_t)0x33a363ec, (q31_t)0x65d924ac, (q31_t)0x339bf675, + (q31_t)0x65e3461b, (q31_t)0x33948701, (q31_t)0x65ed6614, (q31_t)0x338d1590, + (q31_t)0x65f78497, (q31_t)0x3385a222, (q31_t)0x6601a1a2, (q31_t)0x337e2cb7, + (q31_t)0x660bbd37, (q31_t)0x3376b551, (q31_t)0x6615d754, (q31_t)0x336f3bee, + (q31_t)0x661feffa, (q31_t)0x3367c090, (q31_t)0x662a0727, (q31_t)0x33604336, + (q31_t)0x66341cdb, (q31_t)0x3358c3e2, (q31_t)0x663e3117, (q31_t)0x33514292, + (q31_t)0x664843d9, (q31_t)0x3349bf48, (q31_t)0x66525521, (q31_t)0x33423a04, + (q31_t)0x665c64ef, (q31_t)0x333ab2c6, (q31_t)0x66667342, (q31_t)0x3333298f, + (q31_t)0x6670801a, (q31_t)0x332b9e5e, (q31_t)0x667a8b77, (q31_t)0x33241134, + (q31_t)0x66849558, (q31_t)0x331c8211, (q31_t)0x668e9dbd, (q31_t)0x3314f0f6, + (q31_t)0x6698a4a6, (q31_t)0x330d5de3, (q31_t)0x66a2aa11, (q31_t)0x3305c8d7, + (q31_t)0x66acadff, (q31_t)0x32fe31d5, (q31_t)0x66b6b070, (q31_t)0x32f698db, + (q31_t)0x66c0b162, (q31_t)0x32eefdea, (q31_t)0x66cab0d6, (q31_t)0x32e76102, + (q31_t)0x66d4aecb, (q31_t)0x32dfc224, (q31_t)0x66deab41, (q31_t)0x32d82150, + (q31_t)0x66e8a637, (q31_t)0x32d07e85, (q31_t)0x66f29fad, (q31_t)0x32c8d9c6, + (q31_t)0x66fc97a3, (q31_t)0x32c13311, (q31_t)0x67068e18, (q31_t)0x32b98a67, + (q31_t)0x6710830c, (q31_t)0x32b1dfc9, (q31_t)0x671a767e, (q31_t)0x32aa3336, + (q31_t)0x6724686e, (q31_t)0x32a284b0, (q31_t)0x672e58dc, (q31_t)0x329ad435, + (q31_t)0x673847c8, (q31_t)0x329321c7, (q31_t)0x67423530, (q31_t)0x328b6d66, + (q31_t)0x674c2115, (q31_t)0x3283b712, (q31_t)0x67560b76, (q31_t)0x327bfecc, + (q31_t)0x675ff452, (q31_t)0x32744493, (q31_t)0x6769dbaa, (q31_t)0x326c8868, + (q31_t)0x6773c17d, (q31_t)0x3264ca4c, (q31_t)0x677da5cb, (q31_t)0x325d0a3e, + (q31_t)0x67878893, (q31_t)0x32554840, (q31_t)0x679169d5, (q31_t)0x324d8450, + (q31_t)0x679b4990, (q31_t)0x3245be70, (q31_t)0x67a527c4, (q31_t)0x323df6a0, + (q31_t)0x67af0472, (q31_t)0x32362ce0, (q31_t)0x67b8df97, (q31_t)0x322e6130, + (q31_t)0x67c2b934, (q31_t)0x32269391, (q31_t)0x67cc9149, (q31_t)0x321ec403, + (q31_t)0x67d667d5, (q31_t)0x3216f287, (q31_t)0x67e03cd8, (q31_t)0x320f1f1c, + (q31_t)0x67ea1052, (q31_t)0x320749c3, (q31_t)0x67f3e241, (q31_t)0x31ff727c, + (q31_t)0x67fdb2a7, (q31_t)0x31f79948, (q31_t)0x68078181, (q31_t)0x31efbe27, + (q31_t)0x68114ed0, (q31_t)0x31e7e118, (q31_t)0x681b1a94, (q31_t)0x31e0021e, + (q31_t)0x6824e4cc, (q31_t)0x31d82137, (q31_t)0x682ead78, (q31_t)0x31d03e64, + (q31_t)0x68387498, (q31_t)0x31c859a5, (q31_t)0x68423a2a, (q31_t)0x31c072fb, + (q31_t)0x684bfe2f, (q31_t)0x31b88a66, (q31_t)0x6855c0a6, (q31_t)0x31b09fe7, + (q31_t)0x685f8190, (q31_t)0x31a8b37c, (q31_t)0x686940ea, (q31_t)0x31a0c528, + (q31_t)0x6872feb6, (q31_t)0x3198d4ea, (q31_t)0x687cbaf3, (q31_t)0x3190e2c3, + (q31_t)0x688675a0, (q31_t)0x3188eeb2, (q31_t)0x68902ebd, (q31_t)0x3180f8b8, + (q31_t)0x6899e64a, (q31_t)0x317900d6, (q31_t)0x68a39c46, (q31_t)0x3171070c, + (q31_t)0x68ad50b1, (q31_t)0x31690b59, (q31_t)0x68b7038b, (q31_t)0x31610dbf, + (q31_t)0x68c0b4d2, (q31_t)0x31590e3e, (q31_t)0x68ca6488, (q31_t)0x31510cd5, + (q31_t)0x68d412ab, (q31_t)0x31490986, (q31_t)0x68ddbf3b, (q31_t)0x31410450, + (q31_t)0x68e76a37, (q31_t)0x3138fd35, (q31_t)0x68f113a0, (q31_t)0x3130f433, + (q31_t)0x68fabb75, (q31_t)0x3128e94c, (q31_t)0x690461b5, (q31_t)0x3120dc80, + (q31_t)0x690e0661, (q31_t)0x3118cdcf, (q31_t)0x6917a977, (q31_t)0x3110bd39, + (q31_t)0x69214af8, (q31_t)0x3108aabf, (q31_t)0x692aeae3, (q31_t)0x31009661, + (q31_t)0x69348937, (q31_t)0x30f8801f, (q31_t)0x693e25f5, (q31_t)0x30f067fb, + (q31_t)0x6947c11c, (q31_t)0x30e84df3, (q31_t)0x69515aab, (q31_t)0x30e03208, + (q31_t)0x695af2a3, (q31_t)0x30d8143b, (q31_t)0x69648902, (q31_t)0x30cff48c, + (q31_t)0x696e1dc9, (q31_t)0x30c7d2fb, (q31_t)0x6977b0f7, (q31_t)0x30bfaf89, + (q31_t)0x6981428c, (q31_t)0x30b78a36, (q31_t)0x698ad287, (q31_t)0x30af6302, + (q31_t)0x699460e8, (q31_t)0x30a739ed, (q31_t)0x699dedaf, (q31_t)0x309f0ef8, + (q31_t)0x69a778db, (q31_t)0x3096e223, (q31_t)0x69b1026c, (q31_t)0x308eb36f, + (q31_t)0x69ba8a61, (q31_t)0x308682dc, (q31_t)0x69c410ba, (q31_t)0x307e5069, + (q31_t)0x69cd9578, (q31_t)0x30761c18, (q31_t)0x69d71899, (q31_t)0x306de5e9, + (q31_t)0x69e09a1c, (q31_t)0x3065addb, (q31_t)0x69ea1a03, (q31_t)0x305d73f0, + (q31_t)0x69f3984c, (q31_t)0x30553828, (q31_t)0x69fd14f6, (q31_t)0x304cfa83, + (q31_t)0x6a069003, (q31_t)0x3044bb00, (q31_t)0x6a100970, (q31_t)0x303c79a2, + (q31_t)0x6a19813f, (q31_t)0x30343667, (q31_t)0x6a22f76e, (q31_t)0x302bf151, + (q31_t)0x6a2c6bfd, (q31_t)0x3023aa5f, (q31_t)0x6a35deeb, (q31_t)0x301b6193, + (q31_t)0x6a3f503a, (q31_t)0x301316eb, (q31_t)0x6a48bfe7, (q31_t)0x300aca69, + (q31_t)0x6a522df3, (q31_t)0x30027c0c, (q31_t)0x6a5b9a5d, (q31_t)0x2ffa2bd6, + (q31_t)0x6a650525, (q31_t)0x2ff1d9c7, (q31_t)0x6a6e6e4b, (q31_t)0x2fe985de, + (q31_t)0x6a77d5ce, (q31_t)0x2fe1301c, (q31_t)0x6a813bae, (q31_t)0x2fd8d882, + (q31_t)0x6a8a9fea, (q31_t)0x2fd07f0f, (q31_t)0x6a940283, (q31_t)0x2fc823c5, + (q31_t)0x6a9d6377, (q31_t)0x2fbfc6a3, (q31_t)0x6aa6c2c6, (q31_t)0x2fb767aa, + (q31_t)0x6ab02071, (q31_t)0x2faf06da, (q31_t)0x6ab97c77, (q31_t)0x2fa6a433, + (q31_t)0x6ac2d6d6, (q31_t)0x2f9e3fb6, (q31_t)0x6acc2f90, (q31_t)0x2f95d963, + (q31_t)0x6ad586a3, (q31_t)0x2f8d713a, (q31_t)0x6adedc10, (q31_t)0x2f85073c, + (q31_t)0x6ae82fd5, (q31_t)0x2f7c9b69, (q31_t)0x6af181f3, (q31_t)0x2f742dc1, + (q31_t)0x6afad269, (q31_t)0x2f6bbe45, (q31_t)0x6b042137, (q31_t)0x2f634cf5, + (q31_t)0x6b0d6e5c, (q31_t)0x2f5ad9d1, (q31_t)0x6b16b9d9, (q31_t)0x2f5264da, + (q31_t)0x6b2003ac, (q31_t)0x2f49ee0f, (q31_t)0x6b294bd5, (q31_t)0x2f417573, + (q31_t)0x6b329255, (q31_t)0x2f38fb03, (q31_t)0x6b3bd72a, (q31_t)0x2f307ec2, + (q31_t)0x6b451a55, (q31_t)0x2f2800af, (q31_t)0x6b4e5bd4, (q31_t)0x2f1f80ca, + (q31_t)0x6b579ba8, (q31_t)0x2f16ff14, (q31_t)0x6b60d9d0, (q31_t)0x2f0e7b8e, + (q31_t)0x6b6a164d, (q31_t)0x2f05f637, (q31_t)0x6b73511c, (q31_t)0x2efd6f10, + (q31_t)0x6b7c8a3f, (q31_t)0x2ef4e619, (q31_t)0x6b85c1b5, (q31_t)0x2eec5b53, + (q31_t)0x6b8ef77d, (q31_t)0x2ee3cebe, (q31_t)0x6b982b97, (q31_t)0x2edb405a, + (q31_t)0x6ba15e03, (q31_t)0x2ed2b027, (q31_t)0x6baa8ec0, (q31_t)0x2eca1e27, + (q31_t)0x6bb3bdce, (q31_t)0x2ec18a58, (q31_t)0x6bbceb2d, (q31_t)0x2eb8f4bc, + (q31_t)0x6bc616dd, (q31_t)0x2eb05d53, (q31_t)0x6bcf40dc, (q31_t)0x2ea7c41e, + (q31_t)0x6bd8692b, (q31_t)0x2e9f291b, (q31_t)0x6be18fc9, (q31_t)0x2e968c4d, + (q31_t)0x6beab4b6, (q31_t)0x2e8dedb3, (q31_t)0x6bf3d7f2, (q31_t)0x2e854d4d, + (q31_t)0x6bfcf97c, (q31_t)0x2e7cab1c, (q31_t)0x6c061953, (q31_t)0x2e740720, + (q31_t)0x6c0f3779, (q31_t)0x2e6b615a, (q31_t)0x6c1853eb, (q31_t)0x2e62b9ca, + (q31_t)0x6c216eaa, (q31_t)0x2e5a1070, (q31_t)0x6c2a87b6, (q31_t)0x2e51654c, + (q31_t)0x6c339f0e, (q31_t)0x2e48b860, (q31_t)0x6c3cb4b1, (q31_t)0x2e4009aa, + (q31_t)0x6c45c8a0, (q31_t)0x2e37592c, (q31_t)0x6c4edada, (q31_t)0x2e2ea6e6, + (q31_t)0x6c57eb5e, (q31_t)0x2e25f2d8, (q31_t)0x6c60fa2d, (q31_t)0x2e1d3d03, + (q31_t)0x6c6a0746, (q31_t)0x2e148566, (q31_t)0x6c7312a9, (q31_t)0x2e0bcc03, + (q31_t)0x6c7c1c55, (q31_t)0x2e0310d9, (q31_t)0x6c85244a, (q31_t)0x2dfa53e9, + (q31_t)0x6c8e2a87, (q31_t)0x2df19534, (q31_t)0x6c972f0d, (q31_t)0x2de8d4b8, + (q31_t)0x6ca031da, (q31_t)0x2de01278, (q31_t)0x6ca932ef, (q31_t)0x2dd74e73, + (q31_t)0x6cb2324c, (q31_t)0x2dce88aa, (q31_t)0x6cbb2fef, (q31_t)0x2dc5c11c, + (q31_t)0x6cc42bd9, (q31_t)0x2dbcf7cb, (q31_t)0x6ccd2609, (q31_t)0x2db42cb6, + (q31_t)0x6cd61e7f, (q31_t)0x2dab5fdf, (q31_t)0x6cdf153a, (q31_t)0x2da29144, + (q31_t)0x6ce80a3a, (q31_t)0x2d99c0e7, (q31_t)0x6cf0fd80, (q31_t)0x2d90eec8, + (q31_t)0x6cf9ef09, (q31_t)0x2d881ae8, (q31_t)0x6d02ded7, (q31_t)0x2d7f4545, + (q31_t)0x6d0bcce8, (q31_t)0x2d766de2, (q31_t)0x6d14b93d, (q31_t)0x2d6d94bf, + (q31_t)0x6d1da3d5, (q31_t)0x2d64b9da, (q31_t)0x6d268cb0, (q31_t)0x2d5bdd36, + (q31_t)0x6d2f73cd, (q31_t)0x2d52fed2, (q31_t)0x6d38592c, (q31_t)0x2d4a1eaf, + (q31_t)0x6d413ccd, (q31_t)0x2d413ccd, (q31_t)0x6d4a1eaf, (q31_t)0x2d38592c, + (q31_t)0x6d52fed2, (q31_t)0x2d2f73cd, (q31_t)0x6d5bdd36, (q31_t)0x2d268cb0, + (q31_t)0x6d64b9da, (q31_t)0x2d1da3d5, (q31_t)0x6d6d94bf, (q31_t)0x2d14b93d, + (q31_t)0x6d766de2, (q31_t)0x2d0bcce8, (q31_t)0x6d7f4545, (q31_t)0x2d02ded7, + (q31_t)0x6d881ae8, (q31_t)0x2cf9ef09, (q31_t)0x6d90eec8, (q31_t)0x2cf0fd80, + (q31_t)0x6d99c0e7, (q31_t)0x2ce80a3a, (q31_t)0x6da29144, (q31_t)0x2cdf153a, + (q31_t)0x6dab5fdf, (q31_t)0x2cd61e7f, (q31_t)0x6db42cb6, (q31_t)0x2ccd2609, + (q31_t)0x6dbcf7cb, (q31_t)0x2cc42bd9, (q31_t)0x6dc5c11c, (q31_t)0x2cbb2fef, + (q31_t)0x6dce88aa, (q31_t)0x2cb2324c, (q31_t)0x6dd74e73, (q31_t)0x2ca932ef, + (q31_t)0x6de01278, (q31_t)0x2ca031da, (q31_t)0x6de8d4b8, (q31_t)0x2c972f0d, + (q31_t)0x6df19534, (q31_t)0x2c8e2a87, (q31_t)0x6dfa53e9, (q31_t)0x2c85244a, + (q31_t)0x6e0310d9, (q31_t)0x2c7c1c55, (q31_t)0x6e0bcc03, (q31_t)0x2c7312a9, + (q31_t)0x6e148566, (q31_t)0x2c6a0746, (q31_t)0x6e1d3d03, (q31_t)0x2c60fa2d, + (q31_t)0x6e25f2d8, (q31_t)0x2c57eb5e, (q31_t)0x6e2ea6e6, (q31_t)0x2c4edada, + (q31_t)0x6e37592c, (q31_t)0x2c45c8a0, (q31_t)0x6e4009aa, (q31_t)0x2c3cb4b1, + (q31_t)0x6e48b860, (q31_t)0x2c339f0e, (q31_t)0x6e51654c, (q31_t)0x2c2a87b6, + (q31_t)0x6e5a1070, (q31_t)0x2c216eaa, (q31_t)0x6e62b9ca, (q31_t)0x2c1853eb, + (q31_t)0x6e6b615a, (q31_t)0x2c0f3779, (q31_t)0x6e740720, (q31_t)0x2c061953, + (q31_t)0x6e7cab1c, (q31_t)0x2bfcf97c, (q31_t)0x6e854d4d, (q31_t)0x2bf3d7f2, + (q31_t)0x6e8dedb3, (q31_t)0x2beab4b6, (q31_t)0x6e968c4d, (q31_t)0x2be18fc9, + (q31_t)0x6e9f291b, (q31_t)0x2bd8692b, (q31_t)0x6ea7c41e, (q31_t)0x2bcf40dc, + (q31_t)0x6eb05d53, (q31_t)0x2bc616dd, (q31_t)0x6eb8f4bc, (q31_t)0x2bbceb2d, + (q31_t)0x6ec18a58, (q31_t)0x2bb3bdce, (q31_t)0x6eca1e27, (q31_t)0x2baa8ec0, + (q31_t)0x6ed2b027, (q31_t)0x2ba15e03, (q31_t)0x6edb405a, (q31_t)0x2b982b97, + (q31_t)0x6ee3cebe, (q31_t)0x2b8ef77d, (q31_t)0x6eec5b53, (q31_t)0x2b85c1b5, + (q31_t)0x6ef4e619, (q31_t)0x2b7c8a3f, (q31_t)0x6efd6f10, (q31_t)0x2b73511c, + (q31_t)0x6f05f637, (q31_t)0x2b6a164d, (q31_t)0x6f0e7b8e, (q31_t)0x2b60d9d0, + (q31_t)0x6f16ff14, (q31_t)0x2b579ba8, (q31_t)0x6f1f80ca, (q31_t)0x2b4e5bd4, + (q31_t)0x6f2800af, (q31_t)0x2b451a55, (q31_t)0x6f307ec2, (q31_t)0x2b3bd72a, + (q31_t)0x6f38fb03, (q31_t)0x2b329255, (q31_t)0x6f417573, (q31_t)0x2b294bd5, + (q31_t)0x6f49ee0f, (q31_t)0x2b2003ac, (q31_t)0x6f5264da, (q31_t)0x2b16b9d9, + (q31_t)0x6f5ad9d1, (q31_t)0x2b0d6e5c, (q31_t)0x6f634cf5, (q31_t)0x2b042137, + (q31_t)0x6f6bbe45, (q31_t)0x2afad269, (q31_t)0x6f742dc1, (q31_t)0x2af181f3, + (q31_t)0x6f7c9b69, (q31_t)0x2ae82fd5, (q31_t)0x6f85073c, (q31_t)0x2adedc10, + (q31_t)0x6f8d713a, (q31_t)0x2ad586a3, (q31_t)0x6f95d963, (q31_t)0x2acc2f90, + (q31_t)0x6f9e3fb6, (q31_t)0x2ac2d6d6, (q31_t)0x6fa6a433, (q31_t)0x2ab97c77, + (q31_t)0x6faf06da, (q31_t)0x2ab02071, (q31_t)0x6fb767aa, (q31_t)0x2aa6c2c6, + (q31_t)0x6fbfc6a3, (q31_t)0x2a9d6377, (q31_t)0x6fc823c5, (q31_t)0x2a940283, + (q31_t)0x6fd07f0f, (q31_t)0x2a8a9fea, (q31_t)0x6fd8d882, (q31_t)0x2a813bae, + (q31_t)0x6fe1301c, (q31_t)0x2a77d5ce, (q31_t)0x6fe985de, (q31_t)0x2a6e6e4b, + (q31_t)0x6ff1d9c7, (q31_t)0x2a650525, (q31_t)0x6ffa2bd6, (q31_t)0x2a5b9a5d, + (q31_t)0x70027c0c, (q31_t)0x2a522df3, (q31_t)0x700aca69, (q31_t)0x2a48bfe7, + (q31_t)0x701316eb, (q31_t)0x2a3f503a, (q31_t)0x701b6193, (q31_t)0x2a35deeb, + (q31_t)0x7023aa5f, (q31_t)0x2a2c6bfd, (q31_t)0x702bf151, (q31_t)0x2a22f76e, + (q31_t)0x70343667, (q31_t)0x2a19813f, (q31_t)0x703c79a2, (q31_t)0x2a100970, + (q31_t)0x7044bb00, (q31_t)0x2a069003, (q31_t)0x704cfa83, (q31_t)0x29fd14f6, + (q31_t)0x70553828, (q31_t)0x29f3984c, (q31_t)0x705d73f0, (q31_t)0x29ea1a03, + (q31_t)0x7065addb, (q31_t)0x29e09a1c, (q31_t)0x706de5e9, (q31_t)0x29d71899, + (q31_t)0x70761c18, (q31_t)0x29cd9578, (q31_t)0x707e5069, (q31_t)0x29c410ba, + (q31_t)0x708682dc, (q31_t)0x29ba8a61, (q31_t)0x708eb36f, (q31_t)0x29b1026c, + (q31_t)0x7096e223, (q31_t)0x29a778db, (q31_t)0x709f0ef8, (q31_t)0x299dedaf, + (q31_t)0x70a739ed, (q31_t)0x299460e8, (q31_t)0x70af6302, (q31_t)0x298ad287, + (q31_t)0x70b78a36, (q31_t)0x2981428c, (q31_t)0x70bfaf89, (q31_t)0x2977b0f7, + (q31_t)0x70c7d2fb, (q31_t)0x296e1dc9, (q31_t)0x70cff48c, (q31_t)0x29648902, + (q31_t)0x70d8143b, (q31_t)0x295af2a3, (q31_t)0x70e03208, (q31_t)0x29515aab, + (q31_t)0x70e84df3, (q31_t)0x2947c11c, (q31_t)0x70f067fb, (q31_t)0x293e25f5, + (q31_t)0x70f8801f, (q31_t)0x29348937, (q31_t)0x71009661, (q31_t)0x292aeae3, + (q31_t)0x7108aabf, (q31_t)0x29214af8, (q31_t)0x7110bd39, (q31_t)0x2917a977, + (q31_t)0x7118cdcf, (q31_t)0x290e0661, (q31_t)0x7120dc80, (q31_t)0x290461b5, + (q31_t)0x7128e94c, (q31_t)0x28fabb75, (q31_t)0x7130f433, (q31_t)0x28f113a0, + (q31_t)0x7138fd35, (q31_t)0x28e76a37, (q31_t)0x71410450, (q31_t)0x28ddbf3b, + (q31_t)0x71490986, (q31_t)0x28d412ab, (q31_t)0x71510cd5, (q31_t)0x28ca6488, + (q31_t)0x71590e3e, (q31_t)0x28c0b4d2, (q31_t)0x71610dbf, (q31_t)0x28b7038b, + (q31_t)0x71690b59, (q31_t)0x28ad50b1, (q31_t)0x7171070c, (q31_t)0x28a39c46, + (q31_t)0x717900d6, (q31_t)0x2899e64a, (q31_t)0x7180f8b8, (q31_t)0x28902ebd, + (q31_t)0x7188eeb2, (q31_t)0x288675a0, (q31_t)0x7190e2c3, (q31_t)0x287cbaf3, + (q31_t)0x7198d4ea, (q31_t)0x2872feb6, (q31_t)0x71a0c528, (q31_t)0x286940ea, + (q31_t)0x71a8b37c, (q31_t)0x285f8190, (q31_t)0x71b09fe7, (q31_t)0x2855c0a6, + (q31_t)0x71b88a66, (q31_t)0x284bfe2f, (q31_t)0x71c072fb, (q31_t)0x28423a2a, + (q31_t)0x71c859a5, (q31_t)0x28387498, (q31_t)0x71d03e64, (q31_t)0x282ead78, + (q31_t)0x71d82137, (q31_t)0x2824e4cc, (q31_t)0x71e0021e, (q31_t)0x281b1a94, + (q31_t)0x71e7e118, (q31_t)0x28114ed0, (q31_t)0x71efbe27, (q31_t)0x28078181, + (q31_t)0x71f79948, (q31_t)0x27fdb2a7, (q31_t)0x71ff727c, (q31_t)0x27f3e241, + (q31_t)0x720749c3, (q31_t)0x27ea1052, (q31_t)0x720f1f1c, (q31_t)0x27e03cd8, + (q31_t)0x7216f287, (q31_t)0x27d667d5, (q31_t)0x721ec403, (q31_t)0x27cc9149, + (q31_t)0x72269391, (q31_t)0x27c2b934, (q31_t)0x722e6130, (q31_t)0x27b8df97, + (q31_t)0x72362ce0, (q31_t)0x27af0472, (q31_t)0x723df6a0, (q31_t)0x27a527c4, + (q31_t)0x7245be70, (q31_t)0x279b4990, (q31_t)0x724d8450, (q31_t)0x279169d5, + (q31_t)0x72554840, (q31_t)0x27878893, (q31_t)0x725d0a3e, (q31_t)0x277da5cb, + (q31_t)0x7264ca4c, (q31_t)0x2773c17d, (q31_t)0x726c8868, (q31_t)0x2769dbaa, + (q31_t)0x72744493, (q31_t)0x275ff452, (q31_t)0x727bfecc, (q31_t)0x27560b76, + (q31_t)0x7283b712, (q31_t)0x274c2115, (q31_t)0x728b6d66, (q31_t)0x27423530, + (q31_t)0x729321c7, (q31_t)0x273847c8, (q31_t)0x729ad435, (q31_t)0x272e58dc, + (q31_t)0x72a284b0, (q31_t)0x2724686e, (q31_t)0x72aa3336, (q31_t)0x271a767e, + (q31_t)0x72b1dfc9, (q31_t)0x2710830c, (q31_t)0x72b98a67, (q31_t)0x27068e18, + (q31_t)0x72c13311, (q31_t)0x26fc97a3, (q31_t)0x72c8d9c6, (q31_t)0x26f29fad, + (q31_t)0x72d07e85, (q31_t)0x26e8a637, (q31_t)0x72d82150, (q31_t)0x26deab41, + (q31_t)0x72dfc224, (q31_t)0x26d4aecb, (q31_t)0x72e76102, (q31_t)0x26cab0d6, + (q31_t)0x72eefdea, (q31_t)0x26c0b162, (q31_t)0x72f698db, (q31_t)0x26b6b070, + (q31_t)0x72fe31d5, (q31_t)0x26acadff, (q31_t)0x7305c8d7, (q31_t)0x26a2aa11, + (q31_t)0x730d5de3, (q31_t)0x2698a4a6, (q31_t)0x7314f0f6, (q31_t)0x268e9dbd, + (q31_t)0x731c8211, (q31_t)0x26849558, (q31_t)0x73241134, (q31_t)0x267a8b77, + (q31_t)0x732b9e5e, (q31_t)0x2670801a, (q31_t)0x7333298f, (q31_t)0x26667342, + (q31_t)0x733ab2c6, (q31_t)0x265c64ef, (q31_t)0x73423a04, (q31_t)0x26525521, + (q31_t)0x7349bf48, (q31_t)0x264843d9, (q31_t)0x73514292, (q31_t)0x263e3117, + (q31_t)0x7358c3e2, (q31_t)0x26341cdb, (q31_t)0x73604336, (q31_t)0x262a0727, + (q31_t)0x7367c090, (q31_t)0x261feffa, (q31_t)0x736f3bee, (q31_t)0x2615d754, + (q31_t)0x7376b551, (q31_t)0x260bbd37, (q31_t)0x737e2cb7, (q31_t)0x2601a1a2, + (q31_t)0x7385a222, (q31_t)0x25f78497, (q31_t)0x738d1590, (q31_t)0x25ed6614, + (q31_t)0x73948701, (q31_t)0x25e3461b, (q31_t)0x739bf675, (q31_t)0x25d924ac, + (q31_t)0x73a363ec, (q31_t)0x25cf01c8, (q31_t)0x73aacf65, (q31_t)0x25c4dd6e, + (q31_t)0x73b238e0, (q31_t)0x25bab7a0, (q31_t)0x73b9a05d, (q31_t)0x25b0905d, + (q31_t)0x73c105db, (q31_t)0x25a667a7, (q31_t)0x73c8695b, (q31_t)0x259c3d7c, + (q31_t)0x73cfcadc, (q31_t)0x259211df, (q31_t)0x73d72a5d, (q31_t)0x2587e4cf, + (q31_t)0x73de87de, (q31_t)0x257db64c, (q31_t)0x73e5e360, (q31_t)0x25738657, + (q31_t)0x73ed3ce1, (q31_t)0x256954f1, (q31_t)0x73f49462, (q31_t)0x255f2219, + (q31_t)0x73fbe9e2, (q31_t)0x2554edd1, (q31_t)0x74033d61, (q31_t)0x254ab818, + (q31_t)0x740a8edf, (q31_t)0x254080ef, (q31_t)0x7411de5b, (q31_t)0x25364857, + (q31_t)0x74192bd5, (q31_t)0x252c0e4f, (q31_t)0x7420774d, (q31_t)0x2521d2d8, + (q31_t)0x7427c0c3, (q31_t)0x251795f3, (q31_t)0x742f0836, (q31_t)0x250d57a0, + (q31_t)0x74364da6, (q31_t)0x250317df, (q31_t)0x743d9112, (q31_t)0x24f8d6b0, + (q31_t)0x7444d27b, (q31_t)0x24ee9415, (q31_t)0x744c11e0, (q31_t)0x24e4500e, + (q31_t)0x74534f41, (q31_t)0x24da0a9a, (q31_t)0x745a8a9d, (q31_t)0x24cfc3ba, + (q31_t)0x7461c3f5, (q31_t)0x24c57b6f, (q31_t)0x7468fb47, (q31_t)0x24bb31ba, + (q31_t)0x74703095, (q31_t)0x24b0e699, (q31_t)0x747763dd, (q31_t)0x24a69a0f, + (q31_t)0x747e951f, (q31_t)0x249c4c1b, (q31_t)0x7485c45b, (q31_t)0x2491fcbe, + (q31_t)0x748cf190, (q31_t)0x2487abf7, (q31_t)0x74941cbf, (q31_t)0x247d59c8, + (q31_t)0x749b45e7, (q31_t)0x24730631, (q31_t)0x74a26d08, (q31_t)0x2468b132, + (q31_t)0x74a99221, (q31_t)0x245e5acc, (q31_t)0x74b0b533, (q31_t)0x245402ff, + (q31_t)0x74b7d63c, (q31_t)0x2449a9cc, (q31_t)0x74bef53d, (q31_t)0x243f4f32, + (q31_t)0x74c61236, (q31_t)0x2434f332, (q31_t)0x74cd2d26, (q31_t)0x242a95ce, + (q31_t)0x74d4460c, (q31_t)0x24203704, (q31_t)0x74db5cea, (q31_t)0x2415d6d5, + (q31_t)0x74e271bd, (q31_t)0x240b7543, (q31_t)0x74e98487, (q31_t)0x2401124d, + (q31_t)0x74f09546, (q31_t)0x23f6adf3, (q31_t)0x74f7a3fb, (q31_t)0x23ec4837, + (q31_t)0x74feb0a5, (q31_t)0x23e1e117, (q31_t)0x7505bb44, (q31_t)0x23d77896, + (q31_t)0x750cc3d8, (q31_t)0x23cd0eb3, (q31_t)0x7513ca60, (q31_t)0x23c2a36f, + (q31_t)0x751acedd, (q31_t)0x23b836ca, (q31_t)0x7521d14d, (q31_t)0x23adc8c4, + (q31_t)0x7528d1b1, (q31_t)0x23a3595e, (q31_t)0x752fd008, (q31_t)0x2398e898, + (q31_t)0x7536cc52, (q31_t)0x238e7673, (q31_t)0x753dc68f, (q31_t)0x238402ef, + (q31_t)0x7544bebf, (q31_t)0x23798e0d, (q31_t)0x754bb4e1, (q31_t)0x236f17cc, + (q31_t)0x7552a8f4, (q31_t)0x2364a02e, (q31_t)0x75599afa, (q31_t)0x235a2733, + (q31_t)0x75608af1, (q31_t)0x234facda, (q31_t)0x756778d9, (q31_t)0x23453125, + (q31_t)0x756e64b2, (q31_t)0x233ab414, (q31_t)0x75754e7c, (q31_t)0x233035a7, + (q31_t)0x757c3636, (q31_t)0x2325b5df, (q31_t)0x75831be0, (q31_t)0x231b34bc, + (q31_t)0x7589ff7a, (q31_t)0x2310b23e, (q31_t)0x7590e104, (q31_t)0x23062e67, + (q31_t)0x7597c07d, (q31_t)0x22fba936, (q31_t)0x759e9de5, (q31_t)0x22f122ab, + (q31_t)0x75a5793c, (q31_t)0x22e69ac8, (q31_t)0x75ac5282, (q31_t)0x22dc118c, + (q31_t)0x75b329b5, (q31_t)0x22d186f8, (q31_t)0x75b9fed7, (q31_t)0x22c6fb0c, + (q31_t)0x75c0d1e7, (q31_t)0x22bc6dca, (q31_t)0x75c7a2e3, (q31_t)0x22b1df30, + (q31_t)0x75ce71ce, (q31_t)0x22a74f40, (q31_t)0x75d53ea5, (q31_t)0x229cbdfa, + (q31_t)0x75dc0968, (q31_t)0x22922b5e, (q31_t)0x75e2d219, (q31_t)0x2287976e, + (q31_t)0x75e998b5, (q31_t)0x227d0228, (q31_t)0x75f05d3d, (q31_t)0x22726b8e, + (q31_t)0x75f71fb1, (q31_t)0x2267d3a0, (q31_t)0x75fde011, (q31_t)0x225d3a5e, + (q31_t)0x76049e5b, (q31_t)0x22529fca, (q31_t)0x760b5a90, (q31_t)0x224803e2, + (q31_t)0x761214b0, (q31_t)0x223d66a8, (q31_t)0x7618ccba, (q31_t)0x2232c81c, + (q31_t)0x761f82af, (q31_t)0x2228283f, (q31_t)0x7626368d, (q31_t)0x221d8711, + (q31_t)0x762ce855, (q31_t)0x2212e492, (q31_t)0x76339806, (q31_t)0x220840c2, + (q31_t)0x763a45a0, (q31_t)0x21fd9ba3, (q31_t)0x7640f123, (q31_t)0x21f2f534, + (q31_t)0x76479a8e, (q31_t)0x21e84d76, (q31_t)0x764e41e2, (q31_t)0x21dda46a, + (q31_t)0x7654e71d, (q31_t)0x21d2fa0f, (q31_t)0x765b8a41, (q31_t)0x21c84e67, + (q31_t)0x76622b4c, (q31_t)0x21bda171, (q31_t)0x7668ca3e, (q31_t)0x21b2f32e, + (q31_t)0x766f6717, (q31_t)0x21a8439e, (q31_t)0x767601d7, (q31_t)0x219d92c2, + (q31_t)0x767c9a7e, (q31_t)0x2192e09b, (q31_t)0x7683310b, (q31_t)0x21882d28, + (q31_t)0x7689c57d, (q31_t)0x217d786a, (q31_t)0x769057d6, (q31_t)0x2172c262, + (q31_t)0x7696e814, (q31_t)0x21680b0f, (q31_t)0x769d7637, (q31_t)0x215d5273, + (q31_t)0x76a4023f, (q31_t)0x2152988d, (q31_t)0x76aa8c2c, (q31_t)0x2147dd5f, + (q31_t)0x76b113fd, (q31_t)0x213d20e8, (q31_t)0x76b799b3, (q31_t)0x21326329, + (q31_t)0x76be1d4c, (q31_t)0x2127a423, (q31_t)0x76c49ec9, (q31_t)0x211ce3d5, + (q31_t)0x76cb1e2a, (q31_t)0x21122240, (q31_t)0x76d19b6e, (q31_t)0x21075f65, + (q31_t)0x76d81695, (q31_t)0x20fc9b44, (q31_t)0x76de8f9e, (q31_t)0x20f1d5de, + (q31_t)0x76e5068a, (q31_t)0x20e70f32, (q31_t)0x76eb7b58, (q31_t)0x20dc4742, + (q31_t)0x76f1ee09, (q31_t)0x20d17e0d, (q31_t)0x76f85e9a, (q31_t)0x20c6b395, + (q31_t)0x76fecd0e, (q31_t)0x20bbe7d8, (q31_t)0x77053962, (q31_t)0x20b11ad9, + (q31_t)0x770ba398, (q31_t)0x20a64c97, (q31_t)0x77120bae, (q31_t)0x209b7d13, + (q31_t)0x771871a5, (q31_t)0x2090ac4d, (q31_t)0x771ed57c, (q31_t)0x2085da46, + (q31_t)0x77253733, (q31_t)0x207b06fe, (q31_t)0x772b96ca, (q31_t)0x20703275, + (q31_t)0x7731f440, (q31_t)0x20655cac, (q31_t)0x77384f95, (q31_t)0x205a85a3, + (q31_t)0x773ea8ca, (q31_t)0x204fad5b, (q31_t)0x7744ffdd, (q31_t)0x2044d3d4, + (q31_t)0x774b54ce, (q31_t)0x2039f90f, (q31_t)0x7751a79e, (q31_t)0x202f1d0b, + (q31_t)0x7757f84c, (q31_t)0x20243fca, (q31_t)0x775e46d8, (q31_t)0x2019614c, + (q31_t)0x77649341, (q31_t)0x200e8190, (q31_t)0x776add88, (q31_t)0x2003a099, + (q31_t)0x777125ac, (q31_t)0x1ff8be65, (q31_t)0x77776bac, (q31_t)0x1feddaf6, + (q31_t)0x777daf89, (q31_t)0x1fe2f64c, (q31_t)0x7783f143, (q31_t)0x1fd81067, + (q31_t)0x778a30d8, (q31_t)0x1fcd2948, (q31_t)0x77906e49, (q31_t)0x1fc240ef, + (q31_t)0x7796a996, (q31_t)0x1fb7575c, (q31_t)0x779ce2be, (q31_t)0x1fac6c91, + (q31_t)0x77a319c2, (q31_t)0x1fa1808c, (q31_t)0x77a94ea0, (q31_t)0x1f969350, + (q31_t)0x77af8159, (q31_t)0x1f8ba4dc, (q31_t)0x77b5b1ec, (q31_t)0x1f80b531, + (q31_t)0x77bbe05a, (q31_t)0x1f75c44e, (q31_t)0x77c20ca1, (q31_t)0x1f6ad235, + (q31_t)0x77c836c2, (q31_t)0x1f5fdee6, (q31_t)0x77ce5ebd, (q31_t)0x1f54ea62, + (q31_t)0x77d48490, (q31_t)0x1f49f4a8, (q31_t)0x77daa83d, (q31_t)0x1f3efdb9, + (q31_t)0x77e0c9c3, (q31_t)0x1f340596, (q31_t)0x77e6e921, (q31_t)0x1f290c3f, + (q31_t)0x77ed0657, (q31_t)0x1f1e11b5, (q31_t)0x77f32165, (q31_t)0x1f1315f7, + (q31_t)0x77f93a4b, (q31_t)0x1f081907, (q31_t)0x77ff5109, (q31_t)0x1efd1ae4, + (q31_t)0x7805659e, (q31_t)0x1ef21b90, (q31_t)0x780b780a, (q31_t)0x1ee71b0a, + (q31_t)0x7811884d, (q31_t)0x1edc1953, (q31_t)0x78179666, (q31_t)0x1ed1166b, + (q31_t)0x781da256, (q31_t)0x1ec61254, (q31_t)0x7823ac1d, (q31_t)0x1ebb0d0d, + (q31_t)0x7829b3b9, (q31_t)0x1eb00696, (q31_t)0x782fb92a, (q31_t)0x1ea4fef0, + (q31_t)0x7835bc71, (q31_t)0x1e99f61d, (q31_t)0x783bbd8e, (q31_t)0x1e8eec1b, + (q31_t)0x7841bc7f, (q31_t)0x1e83e0eb, (q31_t)0x7847b946, (q31_t)0x1e78d48e, + (q31_t)0x784db3e0, (q31_t)0x1e6dc705, (q31_t)0x7853ac4f, (q31_t)0x1e62b84f, + (q31_t)0x7859a292, (q31_t)0x1e57a86d, (q31_t)0x785f96a9, (q31_t)0x1e4c9760, + (q31_t)0x78658894, (q31_t)0x1e418528, (q31_t)0x786b7852, (q31_t)0x1e3671c5, + (q31_t)0x787165e3, (q31_t)0x1e2b5d38, (q31_t)0x78775147, (q31_t)0x1e204781, + (q31_t)0x787d3a7e, (q31_t)0x1e1530a1, (q31_t)0x78832187, (q31_t)0x1e0a1898, + (q31_t)0x78890663, (q31_t)0x1dfeff67, (q31_t)0x788ee910, (q31_t)0x1df3e50d, + (q31_t)0x7894c98f, (q31_t)0x1de8c98c, (q31_t)0x789aa7e0, (q31_t)0x1dddace4, + (q31_t)0x78a08402, (q31_t)0x1dd28f15, (q31_t)0x78a65df6, (q31_t)0x1dc7701f, + (q31_t)0x78ac35ba, (q31_t)0x1dbc5004, (q31_t)0x78b20b4f, (q31_t)0x1db12ec3, + (q31_t)0x78b7deb4, (q31_t)0x1da60c5d, (q31_t)0x78bdafea, (q31_t)0x1d9ae8d2, + (q31_t)0x78c37eef, (q31_t)0x1d8fc424, (q31_t)0x78c94bc4, (q31_t)0x1d849e51, + (q31_t)0x78cf1669, (q31_t)0x1d79775c, (q31_t)0x78d4dedd, (q31_t)0x1d6e4f43, + (q31_t)0x78daa520, (q31_t)0x1d632608, (q31_t)0x78e06932, (q31_t)0x1d57fbaa, + (q31_t)0x78e62b13, (q31_t)0x1d4cd02c, (q31_t)0x78ebeac2, (q31_t)0x1d41a38c, + (q31_t)0x78f1a840, (q31_t)0x1d3675cb, (q31_t)0x78f7638b, (q31_t)0x1d2b46ea, + (q31_t)0x78fd1ca4, (q31_t)0x1d2016e9, (q31_t)0x7902d38b, (q31_t)0x1d14e5c9, + (q31_t)0x7908883f, (q31_t)0x1d09b389, (q31_t)0x790e3ac0, (q31_t)0x1cfe802b, + (q31_t)0x7913eb0e, (q31_t)0x1cf34baf, (q31_t)0x79199929, (q31_t)0x1ce81615, + (q31_t)0x791f4510, (q31_t)0x1cdcdf5e, (q31_t)0x7924eec3, (q31_t)0x1cd1a78a, + (q31_t)0x792a9642, (q31_t)0x1cc66e99, (q31_t)0x79303b8e, (q31_t)0x1cbb348d, + (q31_t)0x7935dea4, (q31_t)0x1caff965, (q31_t)0x793b7f86, (q31_t)0x1ca4bd21, + (q31_t)0x79411e33, (q31_t)0x1c997fc4, (q31_t)0x7946baac, (q31_t)0x1c8e414b, + (q31_t)0x794c54ee, (q31_t)0x1c8301b9, (q31_t)0x7951ecfc, (q31_t)0x1c77c10e, + (q31_t)0x795782d3, (q31_t)0x1c6c7f4a, (q31_t)0x795d1675, (q31_t)0x1c613c6d, + (q31_t)0x7962a7e0, (q31_t)0x1c55f878, (q31_t)0x79683715, (q31_t)0x1c4ab36b, + (q31_t)0x796dc414, (q31_t)0x1c3f6d47, (q31_t)0x79734edc, (q31_t)0x1c34260c, + (q31_t)0x7978d76c, (q31_t)0x1c28ddbb, (q31_t)0x797e5dc6, (q31_t)0x1c1d9454, + (q31_t)0x7983e1e8, (q31_t)0x1c1249d8, (q31_t)0x798963d2, (q31_t)0x1c06fe46, + (q31_t)0x798ee385, (q31_t)0x1bfbb1a0, (q31_t)0x799460ff, (q31_t)0x1bf063e6, + (q31_t)0x7999dc42, (q31_t)0x1be51518, (q31_t)0x799f554b, (q31_t)0x1bd9c537, + (q31_t)0x79a4cc1c, (q31_t)0x1bce7442, (q31_t)0x79aa40b4, (q31_t)0x1bc3223c, + (q31_t)0x79afb313, (q31_t)0x1bb7cf23, (q31_t)0x79b52339, (q31_t)0x1bac7af9, + (q31_t)0x79ba9125, (q31_t)0x1ba125bd, (q31_t)0x79bffcd7, (q31_t)0x1b95cf71, + (q31_t)0x79c5664f, (q31_t)0x1b8a7815, (q31_t)0x79cacd8d, (q31_t)0x1b7f1fa9, + (q31_t)0x79d03291, (q31_t)0x1b73c62d, (q31_t)0x79d5955a, (q31_t)0x1b686ba3, + (q31_t)0x79daf5e8, (q31_t)0x1b5d100a, (q31_t)0x79e0543c, (q31_t)0x1b51b363, + (q31_t)0x79e5b054, (q31_t)0x1b4655ae, (q31_t)0x79eb0a31, (q31_t)0x1b3af6ec, + (q31_t)0x79f061d2, (q31_t)0x1b2f971e, (q31_t)0x79f5b737, (q31_t)0x1b243643, + (q31_t)0x79fb0a60, (q31_t)0x1b18d45c, (q31_t)0x7a005b4d, (q31_t)0x1b0d716a, + (q31_t)0x7a05a9fd, (q31_t)0x1b020d6c, (q31_t)0x7a0af671, (q31_t)0x1af6a865, + (q31_t)0x7a1040a8, (q31_t)0x1aeb4253, (q31_t)0x7a1588a2, (q31_t)0x1adfdb37, + (q31_t)0x7a1ace5f, (q31_t)0x1ad47312, (q31_t)0x7a2011de, (q31_t)0x1ac909e5, + (q31_t)0x7a25531f, (q31_t)0x1abd9faf, (q31_t)0x7a2a9223, (q31_t)0x1ab23471, + (q31_t)0x7a2fcee8, (q31_t)0x1aa6c82b, (q31_t)0x7a350970, (q31_t)0x1a9b5adf, + (q31_t)0x7a3a41b9, (q31_t)0x1a8fec8c, (q31_t)0x7a3f77c3, (q31_t)0x1a847d33, + (q31_t)0x7a44ab8e, (q31_t)0x1a790cd4, (q31_t)0x7a49dd1a, (q31_t)0x1a6d9b70, + (q31_t)0x7a4f0c67, (q31_t)0x1a622907, (q31_t)0x7a543974, (q31_t)0x1a56b599, + (q31_t)0x7a596442, (q31_t)0x1a4b4128, (q31_t)0x7a5e8cd0, (q31_t)0x1a3fcbb3, + (q31_t)0x7a63b31d, (q31_t)0x1a34553b, (q31_t)0x7a68d72b, (q31_t)0x1a28ddc0, + (q31_t)0x7a6df8f8, (q31_t)0x1a1d6544, (q31_t)0x7a731884, (q31_t)0x1a11ebc5, + (q31_t)0x7a7835cf, (q31_t)0x1a067145, (q31_t)0x7a7d50da, (q31_t)0x19faf5c5, + (q31_t)0x7a8269a3, (q31_t)0x19ef7944, (q31_t)0x7a87802a, (q31_t)0x19e3fbc3, + (q31_t)0x7a8c9470, (q31_t)0x19d87d42, (q31_t)0x7a91a674, (q31_t)0x19ccfdc2, + (q31_t)0x7a96b636, (q31_t)0x19c17d44, (q31_t)0x7a9bc3b6, (q31_t)0x19b5fbc8, + (q31_t)0x7aa0cef3, (q31_t)0x19aa794d, (q31_t)0x7aa5d7ee, (q31_t)0x199ef5d6, + (q31_t)0x7aaadea6, (q31_t)0x19937161, (q31_t)0x7aafe31b, (q31_t)0x1987ebf0, + (q31_t)0x7ab4e54c, (q31_t)0x197c6584, (q31_t)0x7ab9e53a, (q31_t)0x1970de1b, + (q31_t)0x7abee2e5, (q31_t)0x196555b8, (q31_t)0x7ac3de4c, (q31_t)0x1959cc5a, + (q31_t)0x7ac8d76f, (q31_t)0x194e4201, (q31_t)0x7acdce4d, (q31_t)0x1942b6af, + (q31_t)0x7ad2c2e8, (q31_t)0x19372a64, (q31_t)0x7ad7b53d, (q31_t)0x192b9d1f, + (q31_t)0x7adca54e, (q31_t)0x19200ee3, (q31_t)0x7ae1931a, (q31_t)0x19147fae, + (q31_t)0x7ae67ea1, (q31_t)0x1908ef82, (q31_t)0x7aeb67e3, (q31_t)0x18fd5e5f, + (q31_t)0x7af04edf, (q31_t)0x18f1cc45, (q31_t)0x7af53395, (q31_t)0x18e63935, + (q31_t)0x7afa1605, (q31_t)0x18daa52f, (q31_t)0x7afef630, (q31_t)0x18cf1034, + (q31_t)0x7b03d414, (q31_t)0x18c37a44, (q31_t)0x7b08afb2, (q31_t)0x18b7e35f, + (q31_t)0x7b0d8909, (q31_t)0x18ac4b87, (q31_t)0x7b126019, (q31_t)0x18a0b2bb, + (q31_t)0x7b1734e2, (q31_t)0x189518fc, (q31_t)0x7b1c0764, (q31_t)0x18897e4a, + (q31_t)0x7b20d79e, (q31_t)0x187de2a7, (q31_t)0x7b25a591, (q31_t)0x18724611, + (q31_t)0x7b2a713d, (q31_t)0x1866a88a, (q31_t)0x7b2f3aa0, (q31_t)0x185b0a13, + (q31_t)0x7b3401bb, (q31_t)0x184f6aab, (q31_t)0x7b38c68e, (q31_t)0x1843ca53, + (q31_t)0x7b3d8918, (q31_t)0x1838290c, (q31_t)0x7b42495a, (q31_t)0x182c86d5, + (q31_t)0x7b470753, (q31_t)0x1820e3b0, (q31_t)0x7b4bc303, (q31_t)0x18153f9d, + (q31_t)0x7b507c69, (q31_t)0x18099a9c, (q31_t)0x7b553386, (q31_t)0x17fdf4ae, + (q31_t)0x7b59e85a, (q31_t)0x17f24dd3, (q31_t)0x7b5e9ae4, (q31_t)0x17e6a60c, + (q31_t)0x7b634b23, (q31_t)0x17dafd59, (q31_t)0x7b67f919, (q31_t)0x17cf53bb, + (q31_t)0x7b6ca4c4, (q31_t)0x17c3a931, (q31_t)0x7b714e25, (q31_t)0x17b7fdbd, + (q31_t)0x7b75f53c, (q31_t)0x17ac515f, (q31_t)0x7b7a9a07, (q31_t)0x17a0a417, + (q31_t)0x7b7f3c87, (q31_t)0x1794f5e6, (q31_t)0x7b83dcbc, (q31_t)0x178946cc, + (q31_t)0x7b887aa6, (q31_t)0x177d96ca, (q31_t)0x7b8d1644, (q31_t)0x1771e5e0, + (q31_t)0x7b91af97, (q31_t)0x1766340f, (q31_t)0x7b96469d, (q31_t)0x175a8157, + (q31_t)0x7b9adb57, (q31_t)0x174ecdb8, (q31_t)0x7b9f6dc5, (q31_t)0x17431933, + (q31_t)0x7ba3fde7, (q31_t)0x173763c9, (q31_t)0x7ba88bbc, (q31_t)0x172bad7a, + (q31_t)0x7bad1744, (q31_t)0x171ff646, (q31_t)0x7bb1a080, (q31_t)0x17143e2d, + (q31_t)0x7bb6276e, (q31_t)0x17088531, (q31_t)0x7bbaac0e, (q31_t)0x16fccb51, + (q31_t)0x7bbf2e62, (q31_t)0x16f1108f, (q31_t)0x7bc3ae67, (q31_t)0x16e554ea, + (q31_t)0x7bc82c1f, (q31_t)0x16d99864, (q31_t)0x7bcca789, (q31_t)0x16cddafb, + (q31_t)0x7bd120a4, (q31_t)0x16c21cb2, (q31_t)0x7bd59771, (q31_t)0x16b65d88, + (q31_t)0x7bda0bf0, (q31_t)0x16aa9d7e, (q31_t)0x7bde7e20, (q31_t)0x169edc94, + (q31_t)0x7be2ee01, (q31_t)0x16931acb, (q31_t)0x7be75b93, (q31_t)0x16875823, + (q31_t)0x7bebc6d5, (q31_t)0x167b949d, (q31_t)0x7bf02fc9, (q31_t)0x166fd039, + (q31_t)0x7bf4966c, (q31_t)0x16640af7, (q31_t)0x7bf8fac0, (q31_t)0x165844d8, + (q31_t)0x7bfd5cc4, (q31_t)0x164c7ddd, (q31_t)0x7c01bc78, (q31_t)0x1640b606, + (q31_t)0x7c0619dc, (q31_t)0x1634ed53, (q31_t)0x7c0a74f0, (q31_t)0x162923c5, + (q31_t)0x7c0ecdb2, (q31_t)0x161d595d, (q31_t)0x7c132424, (q31_t)0x16118e1a, + (q31_t)0x7c177845, (q31_t)0x1605c1fd, (q31_t)0x7c1bca16, (q31_t)0x15f9f507, + (q31_t)0x7c201994, (q31_t)0x15ee2738, (q31_t)0x7c2466c2, (q31_t)0x15e25890, + (q31_t)0x7c28b19e, (q31_t)0x15d68911, (q31_t)0x7c2cfa28, (q31_t)0x15cab8ba, + (q31_t)0x7c314060, (q31_t)0x15bee78c, (q31_t)0x7c358446, (q31_t)0x15b31587, + (q31_t)0x7c39c5da, (q31_t)0x15a742ac, (q31_t)0x7c3e051b, (q31_t)0x159b6efb, + (q31_t)0x7c42420a, (q31_t)0x158f9a76, (q31_t)0x7c467ca6, (q31_t)0x1583c51b, + (q31_t)0x7c4ab4ef, (q31_t)0x1577eeec, (q31_t)0x7c4eeae5, (q31_t)0x156c17e9, + (q31_t)0x7c531e88, (q31_t)0x15604013, (q31_t)0x7c574fd8, (q31_t)0x1554676a, + (q31_t)0x7c5b7ed4, (q31_t)0x15488dee, (q31_t)0x7c5fab7c, (q31_t)0x153cb3a0, + (q31_t)0x7c63d5d1, (q31_t)0x1530d881, (q31_t)0x7c67fdd1, (q31_t)0x1524fc90, + (q31_t)0x7c6c237e, (q31_t)0x15191fcf, (q31_t)0x7c7046d6, (q31_t)0x150d423d, + (q31_t)0x7c7467d9, (q31_t)0x150163dc, (q31_t)0x7c788688, (q31_t)0x14f584ac, + (q31_t)0x7c7ca2e2, (q31_t)0x14e9a4ac, (q31_t)0x7c80bce7, (q31_t)0x14ddc3de, + (q31_t)0x7c84d496, (q31_t)0x14d1e242, (q31_t)0x7c88e9f1, (q31_t)0x14c5ffd9, + (q31_t)0x7c8cfcf6, (q31_t)0x14ba1ca3, (q31_t)0x7c910da5, (q31_t)0x14ae38a0, + (q31_t)0x7c951bff, (q31_t)0x14a253d1, (q31_t)0x7c992803, (q31_t)0x14966e36, + (q31_t)0x7c9d31b0, (q31_t)0x148a87d1, (q31_t)0x7ca13908, (q31_t)0x147ea0a0, + (q31_t)0x7ca53e09, (q31_t)0x1472b8a5, (q31_t)0x7ca940b3, (q31_t)0x1466cfe1, + (q31_t)0x7cad4107, (q31_t)0x145ae653, (q31_t)0x7cb13f04, (q31_t)0x144efbfc, + (q31_t)0x7cb53aaa, (q31_t)0x144310dd, (q31_t)0x7cb933f9, (q31_t)0x143724f5, + (q31_t)0x7cbd2af0, (q31_t)0x142b3846, (q31_t)0x7cc11f90, (q31_t)0x141f4ad1, + (q31_t)0x7cc511d9, (q31_t)0x14135c94, (q31_t)0x7cc901c9, (q31_t)0x14076d91, + (q31_t)0x7cccef62, (q31_t)0x13fb7dc9, (q31_t)0x7cd0daa2, (q31_t)0x13ef8d3c, + (q31_t)0x7cd4c38b, (q31_t)0x13e39be9, (q31_t)0x7cd8aa1b, (q31_t)0x13d7a9d3, + (q31_t)0x7cdc8e52, (q31_t)0x13cbb6f8, (q31_t)0x7ce07031, (q31_t)0x13bfc35b, + (q31_t)0x7ce44fb7, (q31_t)0x13b3cefa, (q31_t)0x7ce82ce4, (q31_t)0x13a7d9d7, + (q31_t)0x7cec07b8, (q31_t)0x139be3f2, (q31_t)0x7cefe032, (q31_t)0x138fed4b, + (q31_t)0x7cf3b653, (q31_t)0x1383f5e3, (q31_t)0x7cf78a1b, (q31_t)0x1377fdbb, + (q31_t)0x7cfb5b89, (q31_t)0x136c04d2, (q31_t)0x7cff2a9d, (q31_t)0x13600b2a, + (q31_t)0x7d02f757, (q31_t)0x135410c3, (q31_t)0x7d06c1b6, (q31_t)0x1348159d, + (q31_t)0x7d0a89bc, (q31_t)0x133c19b8, (q31_t)0x7d0e4f67, (q31_t)0x13301d16, + (q31_t)0x7d1212b7, (q31_t)0x13241fb6, (q31_t)0x7d15d3ad, (q31_t)0x1318219a, + (q31_t)0x7d199248, (q31_t)0x130c22c1, (q31_t)0x7d1d4e88, (q31_t)0x1300232c, + (q31_t)0x7d21086c, (q31_t)0x12f422db, (q31_t)0x7d24bff6, (q31_t)0x12e821cf, + (q31_t)0x7d287523, (q31_t)0x12dc2009, (q31_t)0x7d2c27f6, (q31_t)0x12d01d89, + (q31_t)0x7d2fd86c, (q31_t)0x12c41a4f, (q31_t)0x7d338687, (q31_t)0x12b8165b, + (q31_t)0x7d373245, (q31_t)0x12ac11af, (q31_t)0x7d3adba7, (q31_t)0x12a00c4b, + (q31_t)0x7d3e82ae, (q31_t)0x1294062f, (q31_t)0x7d422757, (q31_t)0x1287ff5b, + (q31_t)0x7d45c9a4, (q31_t)0x127bf7d1, (q31_t)0x7d496994, (q31_t)0x126fef90, + (q31_t)0x7d4d0728, (q31_t)0x1263e699, (q31_t)0x7d50a25e, (q31_t)0x1257dced, + (q31_t)0x7d543b37, (q31_t)0x124bd28c, (q31_t)0x7d57d1b3, (q31_t)0x123fc776, + (q31_t)0x7d5b65d2, (q31_t)0x1233bbac, (q31_t)0x7d5ef793, (q31_t)0x1227af2e, + (q31_t)0x7d6286f6, (q31_t)0x121ba1fd, (q31_t)0x7d6613fb, (q31_t)0x120f941a, + (q31_t)0x7d699ea3, (q31_t)0x12038584, (q31_t)0x7d6d26ec, (q31_t)0x11f7763c, + (q31_t)0x7d70acd7, (q31_t)0x11eb6643, (q31_t)0x7d743064, (q31_t)0x11df5599, + (q31_t)0x7d77b192, (q31_t)0x11d3443f, (q31_t)0x7d7b3061, (q31_t)0x11c73235, + (q31_t)0x7d7eacd2, (q31_t)0x11bb1f7c, (q31_t)0x7d8226e4, (q31_t)0x11af0c13, + (q31_t)0x7d859e96, (q31_t)0x11a2f7fc, (q31_t)0x7d8913ea, (q31_t)0x1196e337, + (q31_t)0x7d8c86de, (q31_t)0x118acdc4, (q31_t)0x7d8ff772, (q31_t)0x117eb7a4, + (q31_t)0x7d9365a8, (q31_t)0x1172a0d7, (q31_t)0x7d96d17d, (q31_t)0x1166895f, + (q31_t)0x7d9a3af2, (q31_t)0x115a713a, (q31_t)0x7d9da208, (q31_t)0x114e586a, + (q31_t)0x7da106bd, (q31_t)0x11423ef0, (q31_t)0x7da46912, (q31_t)0x113624cb, + (q31_t)0x7da7c907, (q31_t)0x112a09fc, (q31_t)0x7dab269b, (q31_t)0x111dee84, + (q31_t)0x7dae81cf, (q31_t)0x1111d263, (q31_t)0x7db1daa2, (q31_t)0x1105b599, + (q31_t)0x7db53113, (q31_t)0x10f99827, (q31_t)0x7db88524, (q31_t)0x10ed7a0e, + (q31_t)0x7dbbd6d4, (q31_t)0x10e15b4e, (q31_t)0x7dbf2622, (q31_t)0x10d53be7, + (q31_t)0x7dc2730f, (q31_t)0x10c91bda, (q31_t)0x7dc5bd9b, (q31_t)0x10bcfb28, + (q31_t)0x7dc905c5, (q31_t)0x10b0d9d0, (q31_t)0x7dcc4b8d, (q31_t)0x10a4b7d3, + (q31_t)0x7dcf8ef3, (q31_t)0x10989532, (q31_t)0x7dd2cff7, (q31_t)0x108c71ee, + (q31_t)0x7dd60e99, (q31_t)0x10804e06, (q31_t)0x7dd94ad8, (q31_t)0x1074297b, + (q31_t)0x7ddc84b5, (q31_t)0x1068044e, (q31_t)0x7ddfbc30, (q31_t)0x105bde7f, + (q31_t)0x7de2f148, (q31_t)0x104fb80e, (q31_t)0x7de623fd, (q31_t)0x104390fd, + (q31_t)0x7de9544f, (q31_t)0x1037694b, (q31_t)0x7dec823e, (q31_t)0x102b40f8, + (q31_t)0x7defadca, (q31_t)0x101f1807, (q31_t)0x7df2d6f3, (q31_t)0x1012ee76, + (q31_t)0x7df5fdb8, (q31_t)0x1006c446, (q31_t)0x7df9221a, (q31_t)0xffa9979, + (q31_t)0x7dfc4418, (q31_t)0xfee6e0d, (q31_t)0x7dff63b2, (q31_t)0xfe24205, + (q31_t)0x7e0280e9, (q31_t)0xfd6155f, (q31_t)0x7e059bbb, (q31_t)0xfc9e81e, + (q31_t)0x7e08b42a, (q31_t)0xfbdba40, (q31_t)0x7e0bca34, (q31_t)0xfb18bc8, + (q31_t)0x7e0eddd9, (q31_t)0xfa55cb4, (q31_t)0x7e11ef1b, (q31_t)0xf992d06, + (q31_t)0x7e14fdf7, (q31_t)0xf8cfcbe, (q31_t)0x7e180a6f, (q31_t)0xf80cbdc, + (q31_t)0x7e1b1482, (q31_t)0xf749a61, (q31_t)0x7e1e1c30, (q31_t)0xf68684e, + (q31_t)0x7e212179, (q31_t)0xf5c35a3, (q31_t)0x7e24245d, (q31_t)0xf500260, + (q31_t)0x7e2724db, (q31_t)0xf43ce86, (q31_t)0x7e2a22f4, (q31_t)0xf379a16, + (q31_t)0x7e2d1ea8, (q31_t)0xf2b650f, (q31_t)0x7e3017f6, (q31_t)0xf1f2f73, + (q31_t)0x7e330ede, (q31_t)0xf12f941, (q31_t)0x7e360360, (q31_t)0xf06c27a, + (q31_t)0x7e38f57c, (q31_t)0xefa8b20, (q31_t)0x7e3be532, (q31_t)0xeee5331, + (q31_t)0x7e3ed282, (q31_t)0xee21aaf, (q31_t)0x7e41bd6c, (q31_t)0xed5e19a, + (q31_t)0x7e44a5ef, (q31_t)0xec9a7f3, (q31_t)0x7e478c0b, (q31_t)0xebd6db9, + (q31_t)0x7e4a6fc1, (q31_t)0xeb132ef, (q31_t)0x7e4d5110, (q31_t)0xea4f793, + (q31_t)0x7e502ff9, (q31_t)0xe98bba7, (q31_t)0x7e530c7a, (q31_t)0xe8c7f2a, + (q31_t)0x7e55e694, (q31_t)0xe80421e, (q31_t)0x7e58be47, (q31_t)0xe740483, + (q31_t)0x7e5b9392, (q31_t)0xe67c65a, (q31_t)0x7e5e6676, (q31_t)0xe5b87a2, + (q31_t)0x7e6136f3, (q31_t)0xe4f485c, (q31_t)0x7e640507, (q31_t)0xe430889, + (q31_t)0x7e66d0b4, (q31_t)0xe36c82a, (q31_t)0x7e6999fa, (q31_t)0xe2a873e, + (q31_t)0x7e6c60d7, (q31_t)0xe1e45c6, (q31_t)0x7e6f254c, (q31_t)0xe1203c3, + (q31_t)0x7e71e759, (q31_t)0xe05c135, (q31_t)0x7e74a6fd, (q31_t)0xdf97e1d, + (q31_t)0x7e77643a, (q31_t)0xded3a7b, (q31_t)0x7e7a1f0d, (q31_t)0xde0f64f, + (q31_t)0x7e7cd778, (q31_t)0xdd4b19a, (q31_t)0x7e7f8d7b, (q31_t)0xdc86c5d, + (q31_t)0x7e824114, (q31_t)0xdbc2698, (q31_t)0x7e84f245, (q31_t)0xdafe04b, + (q31_t)0x7e87a10c, (q31_t)0xda39978, (q31_t)0x7e8a4d6a, (q31_t)0xd97521d, + (q31_t)0x7e8cf75f, (q31_t)0xd8b0a3d, (q31_t)0x7e8f9eeb, (q31_t)0xd7ec1d6, + (q31_t)0x7e92440d, (q31_t)0xd7278eb, (q31_t)0x7e94e6c6, (q31_t)0xd662f7b, + (q31_t)0x7e978715, (q31_t)0xd59e586, (q31_t)0x7e9a24fb, (q31_t)0xd4d9b0e, + (q31_t)0x7e9cc076, (q31_t)0xd415013, (q31_t)0x7e9f5988, (q31_t)0xd350495, + (q31_t)0x7ea1f02f, (q31_t)0xd28b894, (q31_t)0x7ea4846c, (q31_t)0xd1c6c11, + (q31_t)0x7ea7163f, (q31_t)0xd101f0e, (q31_t)0x7ea9a5a8, (q31_t)0xd03d189, + (q31_t)0x7eac32a6, (q31_t)0xcf78383, (q31_t)0x7eaebd3a, (q31_t)0xceb34fe, + (q31_t)0x7eb14563, (q31_t)0xcdee5f9, (q31_t)0x7eb3cb21, (q31_t)0xcd29676, + (q31_t)0x7eb64e75, (q31_t)0xcc64673, (q31_t)0x7eb8cf5d, (q31_t)0xcb9f5f3, + (q31_t)0x7ebb4ddb, (q31_t)0xcada4f5, (q31_t)0x7ebdc9ed, (q31_t)0xca1537a, + (q31_t)0x7ec04394, (q31_t)0xc950182, (q31_t)0x7ec2bad0, (q31_t)0xc88af0e, + (q31_t)0x7ec52fa0, (q31_t)0xc7c5c1e, (q31_t)0x7ec7a205, (q31_t)0xc7008b3, + (q31_t)0x7eca11fe, (q31_t)0xc63b4ce, (q31_t)0x7ecc7f8b, (q31_t)0xc57606e, + (q31_t)0x7eceeaad, (q31_t)0xc4b0b94, (q31_t)0x7ed15363, (q31_t)0xc3eb641, + (q31_t)0x7ed3b9ad, (q31_t)0xc326075, (q31_t)0x7ed61d8a, (q31_t)0xc260a31, + (q31_t)0x7ed87efc, (q31_t)0xc19b374, (q31_t)0x7edade01, (q31_t)0xc0d5c41, + (q31_t)0x7edd3a9a, (q31_t)0xc010496, (q31_t)0x7edf94c7, (q31_t)0xbf4ac75, + (q31_t)0x7ee1ec87, (q31_t)0xbe853de, (q31_t)0x7ee441da, (q31_t)0xbdbfad1, + (q31_t)0x7ee694c1, (q31_t)0xbcfa150, (q31_t)0x7ee8e53a, (q31_t)0xbc34759, + (q31_t)0x7eeb3347, (q31_t)0xbb6ecef, (q31_t)0x7eed7ee7, (q31_t)0xbaa9211, + (q31_t)0x7eefc81a, (q31_t)0xb9e36c0, (q31_t)0x7ef20ee0, (q31_t)0xb91dafc, + (q31_t)0x7ef45338, (q31_t)0xb857ec7, (q31_t)0x7ef69523, (q31_t)0xb79221f, + (q31_t)0x7ef8d4a1, (q31_t)0xb6cc506, (q31_t)0x7efb11b1, (q31_t)0xb60677c, + (q31_t)0x7efd4c54, (q31_t)0xb540982, (q31_t)0x7eff8489, (q31_t)0xb47ab19, + (q31_t)0x7f01ba50, (q31_t)0xb3b4c40, (q31_t)0x7f03eda9, (q31_t)0xb2eecf8, + (q31_t)0x7f061e95, (q31_t)0xb228d42, (q31_t)0x7f084d12, (q31_t)0xb162d1d, + (q31_t)0x7f0a7921, (q31_t)0xb09cc8c, (q31_t)0x7f0ca2c2, (q31_t)0xafd6b8d, + (q31_t)0x7f0ec9f5, (q31_t)0xaf10a22, (q31_t)0x7f10eeb9, (q31_t)0xae4a84b, + (q31_t)0x7f13110f, (q31_t)0xad84609, (q31_t)0x7f1530f7, (q31_t)0xacbe35b, + (q31_t)0x7f174e70, (q31_t)0xabf8043, (q31_t)0x7f19697a, (q31_t)0xab31cc1, + (q31_t)0x7f1b8215, (q31_t)0xaa6b8d5, (q31_t)0x7f1d9842, (q31_t)0xa9a5480, + (q31_t)0x7f1fabff, (q31_t)0xa8defc3, (q31_t)0x7f21bd4e, (q31_t)0xa818a9d, + (q31_t)0x7f23cc2e, (q31_t)0xa752510, (q31_t)0x7f25d89e, (q31_t)0xa68bf1b, + (q31_t)0x7f27e29f, (q31_t)0xa5c58c0, (q31_t)0x7f29ea31, (q31_t)0xa4ff1fe, + (q31_t)0x7f2bef53, (q31_t)0xa438ad7, (q31_t)0x7f2df206, (q31_t)0xa37234a, + (q31_t)0x7f2ff24a, (q31_t)0xa2abb59, (q31_t)0x7f31f01d, (q31_t)0xa1e5303, + (q31_t)0x7f33eb81, (q31_t)0xa11ea49, (q31_t)0x7f35e476, (q31_t)0xa05812c, + (q31_t)0x7f37dafa, (q31_t)0x9f917ac, (q31_t)0x7f39cf0e, (q31_t)0x9ecadc9, + (q31_t)0x7f3bc0b3, (q31_t)0x9e04385, (q31_t)0x7f3dafe7, (q31_t)0x9d3d8df, + (q31_t)0x7f3f9cab, (q31_t)0x9c76dd8, (q31_t)0x7f4186ff, (q31_t)0x9bb0271, + (q31_t)0x7f436ee3, (q31_t)0x9ae96aa, (q31_t)0x7f455456, (q31_t)0x9a22a83, + (q31_t)0x7f473759, (q31_t)0x995bdfd, (q31_t)0x7f4917eb, (q31_t)0x9895118, + (q31_t)0x7f4af60d, (q31_t)0x97ce3d5, (q31_t)0x7f4cd1be, (q31_t)0x9707635, + (q31_t)0x7f4eaafe, (q31_t)0x9640837, (q31_t)0x7f5081cd, (q31_t)0x95799dd, + (q31_t)0x7f52562c, (q31_t)0x94b2b27, (q31_t)0x7f54281a, (q31_t)0x93ebc14, + (q31_t)0x7f55f796, (q31_t)0x9324ca7, (q31_t)0x7f57c4a2, (q31_t)0x925dcdf, + (q31_t)0x7f598f3c, (q31_t)0x9196cbc, (q31_t)0x7f5b5765, (q31_t)0x90cfc40, + (q31_t)0x7f5d1d1d, (q31_t)0x9008b6a, (q31_t)0x7f5ee063, (q31_t)0x8f41a3c, + (q31_t)0x7f60a138, (q31_t)0x8e7a8b5, (q31_t)0x7f625f9b, (q31_t)0x8db36d6, + (q31_t)0x7f641b8d, (q31_t)0x8cec4a0, (q31_t)0x7f65d50d, (q31_t)0x8c25213, + (q31_t)0x7f678c1c, (q31_t)0x8b5df30, (q31_t)0x7f6940b8, (q31_t)0x8a96bf6, + (q31_t)0x7f6af2e3, (q31_t)0x89cf867, (q31_t)0x7f6ca29c, (q31_t)0x8908483, + (q31_t)0x7f6e4fe3, (q31_t)0x884104b, (q31_t)0x7f6ffab8, (q31_t)0x8779bbe, + (q31_t)0x7f71a31b, (q31_t)0x86b26de, (q31_t)0x7f73490b, (q31_t)0x85eb1ab, + (q31_t)0x7f74ec8a, (q31_t)0x8523c25, (q31_t)0x7f768d96, (q31_t)0x845c64d, + (q31_t)0x7f782c30, (q31_t)0x8395024, (q31_t)0x7f79c857, (q31_t)0x82cd9a9, + (q31_t)0x7f7b620c, (q31_t)0x82062de, (q31_t)0x7f7cf94e, (q31_t)0x813ebc2, + (q31_t)0x7f7e8e1e, (q31_t)0x8077457, (q31_t)0x7f80207b, (q31_t)0x7fafc9c, + (q31_t)0x7f81b065, (q31_t)0x7ee8493, (q31_t)0x7f833ddd, (q31_t)0x7e20c3b, + (q31_t)0x7f84c8e2, (q31_t)0x7d59396, (q31_t)0x7f865174, (q31_t)0x7c91aa3, + (q31_t)0x7f87d792, (q31_t)0x7bca163, (q31_t)0x7f895b3e, (q31_t)0x7b027d7, + (q31_t)0x7f8adc77, (q31_t)0x7a3adff, (q31_t)0x7f8c5b3d, (q31_t)0x79733dc, + (q31_t)0x7f8dd78f, (q31_t)0x78ab96e, (q31_t)0x7f8f516e, (q31_t)0x77e3eb5, + (q31_t)0x7f90c8da, (q31_t)0x771c3b3, (q31_t)0x7f923dd2, (q31_t)0x7654867, + (q31_t)0x7f93b058, (q31_t)0x758ccd2, (q31_t)0x7f952069, (q31_t)0x74c50f4, + (q31_t)0x7f968e07, (q31_t)0x73fd4cf, (q31_t)0x7f97f932, (q31_t)0x7335862, + (q31_t)0x7f9961e8, (q31_t)0x726dbae, (q31_t)0x7f9ac82c, (q31_t)0x71a5eb3, + (q31_t)0x7f9c2bfb, (q31_t)0x70de172, (q31_t)0x7f9d8d56, (q31_t)0x70163eb, + (q31_t)0x7f9eec3e, (q31_t)0x6f4e620, (q31_t)0x7fa048b2, (q31_t)0x6e86810, + (q31_t)0x7fa1a2b2, (q31_t)0x6dbe9bb, (q31_t)0x7fa2fa3d, (q31_t)0x6cf6b23, + (q31_t)0x7fa44f55, (q31_t)0x6c2ec48, (q31_t)0x7fa5a1f9, (q31_t)0x6b66d29, + (q31_t)0x7fa6f228, (q31_t)0x6a9edc9, (q31_t)0x7fa83fe3, (q31_t)0x69d6e27, + (q31_t)0x7fa98b2a, (q31_t)0x690ee44, (q31_t)0x7faad3fd, (q31_t)0x6846e1f, + (q31_t)0x7fac1a5b, (q31_t)0x677edbb, (q31_t)0x7fad5e45, (q31_t)0x66b6d16, + (q31_t)0x7fae9fbb, (q31_t)0x65eec33, (q31_t)0x7fafdebb, (q31_t)0x6526b10, + (q31_t)0x7fb11b48, (q31_t)0x645e9af, (q31_t)0x7fb2555f, (q31_t)0x6396810, + (q31_t)0x7fb38d02, (q31_t)0x62ce634, (q31_t)0x7fb4c231, (q31_t)0x620641a, + (q31_t)0x7fb5f4ea, (q31_t)0x613e1c5, (q31_t)0x7fb7252f, (q31_t)0x6075f33, + (q31_t)0x7fb852ff, (q31_t)0x5fadc66, (q31_t)0x7fb97e5a, (q31_t)0x5ee595d, + (q31_t)0x7fbaa740, (q31_t)0x5e1d61b, (q31_t)0x7fbbcdb1, (q31_t)0x5d5529e, + (q31_t)0x7fbcf1ad, (q31_t)0x5c8cee7, (q31_t)0x7fbe1334, (q31_t)0x5bc4af8, + (q31_t)0x7fbf3246, (q31_t)0x5afc6d0, (q31_t)0x7fc04ee3, (q31_t)0x5a3426f, + (q31_t)0x7fc1690a, (q31_t)0x596bdd7, (q31_t)0x7fc280bc, (q31_t)0x58a3908, + (q31_t)0x7fc395f9, (q31_t)0x57db403, (q31_t)0x7fc4a8c1, (q31_t)0x5712ec7, + (q31_t)0x7fc5b913, (q31_t)0x564a955, (q31_t)0x7fc6c6f0, (q31_t)0x55823ae, + (q31_t)0x7fc7d258, (q31_t)0x54b9dd3, (q31_t)0x7fc8db4a, (q31_t)0x53f17c3, + (q31_t)0x7fc9e1c6, (q31_t)0x532917f, (q31_t)0x7fcae5cd, (q31_t)0x5260b08, + (q31_t)0x7fcbe75e, (q31_t)0x519845e, (q31_t)0x7fcce67a, (q31_t)0x50cfd82, + (q31_t)0x7fcde320, (q31_t)0x5007674, (q31_t)0x7fcedd50, (q31_t)0x4f3ef35, + (q31_t)0x7fcfd50b, (q31_t)0x4e767c5, (q31_t)0x7fd0ca4f, (q31_t)0x4dae024, + (q31_t)0x7fd1bd1e, (q31_t)0x4ce5854, (q31_t)0x7fd2ad77, (q31_t)0x4c1d054, + (q31_t)0x7fd39b5a, (q31_t)0x4b54825, (q31_t)0x7fd486c7, (q31_t)0x4a8bfc7, + (q31_t)0x7fd56fbe, (q31_t)0x49c373c, (q31_t)0x7fd6563f, (q31_t)0x48fae83, + (q31_t)0x7fd73a4a, (q31_t)0x483259d, (q31_t)0x7fd81bdf, (q31_t)0x4769c8b, + (q31_t)0x7fd8fafe, (q31_t)0x46a134c, (q31_t)0x7fd9d7a7, (q31_t)0x45d89e2, + (q31_t)0x7fdab1d9, (q31_t)0x451004d, (q31_t)0x7fdb8996, (q31_t)0x444768d, + (q31_t)0x7fdc5edc, (q31_t)0x437eca4, (q31_t)0x7fdd31ac, (q31_t)0x42b6290, + (q31_t)0x7fde0205, (q31_t)0x41ed854, (q31_t)0x7fdecfe8, (q31_t)0x4124dee, + (q31_t)0x7fdf9b55, (q31_t)0x405c361, (q31_t)0x7fe0644b, (q31_t)0x3f938ac, + (q31_t)0x7fe12acb, (q31_t)0x3ecadcf, (q31_t)0x7fe1eed5, (q31_t)0x3e022cc, + (q31_t)0x7fe2b067, (q31_t)0x3d397a3, (q31_t)0x7fe36f84, (q31_t)0x3c70c54, + (q31_t)0x7fe42c2a, (q31_t)0x3ba80df, (q31_t)0x7fe4e659, (q31_t)0x3adf546, + (q31_t)0x7fe59e12, (q31_t)0x3a16988, (q31_t)0x7fe65354, (q31_t)0x394dda7, + (q31_t)0x7fe7061f, (q31_t)0x38851a2, (q31_t)0x7fe7b674, (q31_t)0x37bc57b, + (q31_t)0x7fe86452, (q31_t)0x36f3931, (q31_t)0x7fe90fb9, (q31_t)0x362acc5, + (q31_t)0x7fe9b8a9, (q31_t)0x3562038, (q31_t)0x7fea5f23, (q31_t)0x3499389, + (q31_t)0x7feb0326, (q31_t)0x33d06bb, (q31_t)0x7feba4b2, (q31_t)0x33079cc, + (q31_t)0x7fec43c7, (q31_t)0x323ecbe, (q31_t)0x7fece065, (q31_t)0x3175f91, + (q31_t)0x7fed7a8c, (q31_t)0x30ad245, (q31_t)0x7fee123d, (q31_t)0x2fe44dc, + (q31_t)0x7feea776, (q31_t)0x2f1b755, (q31_t)0x7fef3a39, (q31_t)0x2e529b0, + (q31_t)0x7fefca84, (q31_t)0x2d89bf0, (q31_t)0x7ff05858, (q31_t)0x2cc0e13, + (q31_t)0x7ff0e3b6, (q31_t)0x2bf801a, (q31_t)0x7ff16c9c, (q31_t)0x2b2f207, + (q31_t)0x7ff1f30b, (q31_t)0x2a663d8, (q31_t)0x7ff27703, (q31_t)0x299d590, + (q31_t)0x7ff2f884, (q31_t)0x28d472e, (q31_t)0x7ff3778e, (q31_t)0x280b8b3, + (q31_t)0x7ff3f420, (q31_t)0x2742a1f, (q31_t)0x7ff46e3c, (q31_t)0x2679b73, + (q31_t)0x7ff4e5e0, (q31_t)0x25b0caf, (q31_t)0x7ff55b0d, (q31_t)0x24e7dd4, + (q31_t)0x7ff5cdc3, (q31_t)0x241eee2, (q31_t)0x7ff63e01, (q31_t)0x2355fd9, + (q31_t)0x7ff6abc8, (q31_t)0x228d0bb, (q31_t)0x7ff71718, (q31_t)0x21c4188, + (q31_t)0x7ff77ff1, (q31_t)0x20fb240, (q31_t)0x7ff7e652, (q31_t)0x20322e3, + (q31_t)0x7ff84a3c, (q31_t)0x1f69373, (q31_t)0x7ff8abae, (q31_t)0x1ea03ef, + (q31_t)0x7ff90aaa, (q31_t)0x1dd7459, (q31_t)0x7ff9672d, (q31_t)0x1d0e4b0, + (q31_t)0x7ff9c13a, (q31_t)0x1c454f5, (q31_t)0x7ffa18cf, (q31_t)0x1b7c528, + (q31_t)0x7ffa6dec, (q31_t)0x1ab354b, (q31_t)0x7ffac092, (q31_t)0x19ea55d, + (q31_t)0x7ffb10c1, (q31_t)0x192155f, (q31_t)0x7ffb5e78, (q31_t)0x1858552, + (q31_t)0x7ffba9b8, (q31_t)0x178f536, (q31_t)0x7ffbf280, (q31_t)0x16c650b, + (q31_t)0x7ffc38d1, (q31_t)0x15fd4d2, (q31_t)0x7ffc7caa, (q31_t)0x153448c, + (q31_t)0x7ffcbe0c, (q31_t)0x146b438, (q31_t)0x7ffcfcf6, (q31_t)0x13a23d8, + (q31_t)0x7ffd3969, (q31_t)0x12d936c, (q31_t)0x7ffd7364, (q31_t)0x12102f4, + (q31_t)0x7ffdaae7, (q31_t)0x1147271, (q31_t)0x7ffddff3, (q31_t)0x107e1e3, + (q31_t)0x7ffe1288, (q31_t)0xfb514b, (q31_t)0x7ffe42a4, (q31_t)0xeec0aa, + (q31_t)0x7ffe704a, (q31_t)0xe22fff, (q31_t)0x7ffe9b77, (q31_t)0xd59f4c, + (q31_t)0x7ffec42d, (q31_t)0xc90e90, (q31_t)0x7ffeea6c, (q31_t)0xbc7dcc, + (q31_t)0x7fff0e32, (q31_t)0xafed02, (q31_t)0x7fff2f82, (q31_t)0xa35c30, + (q31_t)0x7fff4e59, (q31_t)0x96cb58, (q31_t)0x7fff6ab9, (q31_t)0x8a3a7b, + (q31_t)0x7fff84a1, (q31_t)0x7da998, (q31_t)0x7fff9c12, (q31_t)0x7118b0, + (q31_t)0x7fffb10b, (q31_t)0x6487c4, (q31_t)0x7fffc38c, (q31_t)0x57f6d4, + (q31_t)0x7fffd396, (q31_t)0x4b65e1, (q31_t)0x7fffe128, (q31_t)0x3ed4ea, + (q31_t)0x7fffec43, (q31_t)0x3243f1, (q31_t)0x7ffff4e6, (q31_t)0x25b2f7, + (q31_t)0x7ffffb11, (q31_t)0x1921fb, (q31_t)0x7ffffec4, (q31_t)0xc90fe, + (q31_t)0x7fffffff, (q31_t)0x0, (q31_t)0x7ffffec4, (q31_t)0xfff36f02, + (q31_t)0x7ffffb11, (q31_t)0xffe6de05, (q31_t)0x7ffff4e6, (q31_t)0xffda4d09, + (q31_t)0x7fffec43, (q31_t)0xffcdbc0f, (q31_t)0x7fffe128, (q31_t)0xffc12b16, + (q31_t)0x7fffd396, (q31_t)0xffb49a1f, (q31_t)0x7fffc38c, (q31_t)0xffa8092c, + (q31_t)0x7fffb10b, (q31_t)0xff9b783c, (q31_t)0x7fff9c12, (q31_t)0xff8ee750, + (q31_t)0x7fff84a1, (q31_t)0xff825668, (q31_t)0x7fff6ab9, (q31_t)0xff75c585, + (q31_t)0x7fff4e59, (q31_t)0xff6934a8, (q31_t)0x7fff2f82, (q31_t)0xff5ca3d0, + (q31_t)0x7fff0e32, (q31_t)0xff5012fe, (q31_t)0x7ffeea6c, (q31_t)0xff438234, + (q31_t)0x7ffec42d, (q31_t)0xff36f170, (q31_t)0x7ffe9b77, (q31_t)0xff2a60b4, + (q31_t)0x7ffe704a, (q31_t)0xff1dd001, (q31_t)0x7ffe42a4, (q31_t)0xff113f56, + (q31_t)0x7ffe1288, (q31_t)0xff04aeb5, (q31_t)0x7ffddff3, (q31_t)0xfef81e1d, + (q31_t)0x7ffdaae7, (q31_t)0xfeeb8d8f, (q31_t)0x7ffd7364, (q31_t)0xfedefd0c, + (q31_t)0x7ffd3969, (q31_t)0xfed26c94, (q31_t)0x7ffcfcf6, (q31_t)0xfec5dc28, + (q31_t)0x7ffcbe0c, (q31_t)0xfeb94bc8, (q31_t)0x7ffc7caa, (q31_t)0xfeacbb74, + (q31_t)0x7ffc38d1, (q31_t)0xfea02b2e, (q31_t)0x7ffbf280, (q31_t)0xfe939af5, + (q31_t)0x7ffba9b8, (q31_t)0xfe870aca, (q31_t)0x7ffb5e78, (q31_t)0xfe7a7aae, + (q31_t)0x7ffb10c1, (q31_t)0xfe6deaa1, (q31_t)0x7ffac092, (q31_t)0xfe615aa3, + (q31_t)0x7ffa6dec, (q31_t)0xfe54cab5, (q31_t)0x7ffa18cf, (q31_t)0xfe483ad8, + (q31_t)0x7ff9c13a, (q31_t)0xfe3bab0b, (q31_t)0x7ff9672d, (q31_t)0xfe2f1b50, + (q31_t)0x7ff90aaa, (q31_t)0xfe228ba7, (q31_t)0x7ff8abae, (q31_t)0xfe15fc11, + (q31_t)0x7ff84a3c, (q31_t)0xfe096c8d, (q31_t)0x7ff7e652, (q31_t)0xfdfcdd1d, + (q31_t)0x7ff77ff1, (q31_t)0xfdf04dc0, (q31_t)0x7ff71718, (q31_t)0xfde3be78, + (q31_t)0x7ff6abc8, (q31_t)0xfdd72f45, (q31_t)0x7ff63e01, (q31_t)0xfdcaa027, + (q31_t)0x7ff5cdc3, (q31_t)0xfdbe111e, (q31_t)0x7ff55b0d, (q31_t)0xfdb1822c, + (q31_t)0x7ff4e5e0, (q31_t)0xfda4f351, (q31_t)0x7ff46e3c, (q31_t)0xfd98648d, + (q31_t)0x7ff3f420, (q31_t)0xfd8bd5e1, (q31_t)0x7ff3778e, (q31_t)0xfd7f474d, + (q31_t)0x7ff2f884, (q31_t)0xfd72b8d2, (q31_t)0x7ff27703, (q31_t)0xfd662a70, + (q31_t)0x7ff1f30b, (q31_t)0xfd599c28, (q31_t)0x7ff16c9c, (q31_t)0xfd4d0df9, + (q31_t)0x7ff0e3b6, (q31_t)0xfd407fe6, (q31_t)0x7ff05858, (q31_t)0xfd33f1ed, + (q31_t)0x7fefca84, (q31_t)0xfd276410, (q31_t)0x7fef3a39, (q31_t)0xfd1ad650, + (q31_t)0x7feea776, (q31_t)0xfd0e48ab, (q31_t)0x7fee123d, (q31_t)0xfd01bb24, + (q31_t)0x7fed7a8c, (q31_t)0xfcf52dbb, (q31_t)0x7fece065, (q31_t)0xfce8a06f, + (q31_t)0x7fec43c7, (q31_t)0xfcdc1342, (q31_t)0x7feba4b2, (q31_t)0xfccf8634, + (q31_t)0x7feb0326, (q31_t)0xfcc2f945, (q31_t)0x7fea5f23, (q31_t)0xfcb66c77, + (q31_t)0x7fe9b8a9, (q31_t)0xfca9dfc8, (q31_t)0x7fe90fb9, (q31_t)0xfc9d533b, + (q31_t)0x7fe86452, (q31_t)0xfc90c6cf, (q31_t)0x7fe7b674, (q31_t)0xfc843a85, + (q31_t)0x7fe7061f, (q31_t)0xfc77ae5e, (q31_t)0x7fe65354, (q31_t)0xfc6b2259, + (q31_t)0x7fe59e12, (q31_t)0xfc5e9678, (q31_t)0x7fe4e659, (q31_t)0xfc520aba, + (q31_t)0x7fe42c2a, (q31_t)0xfc457f21, (q31_t)0x7fe36f84, (q31_t)0xfc38f3ac, + (q31_t)0x7fe2b067, (q31_t)0xfc2c685d, (q31_t)0x7fe1eed5, (q31_t)0xfc1fdd34, + (q31_t)0x7fe12acb, (q31_t)0xfc135231, (q31_t)0x7fe0644b, (q31_t)0xfc06c754, + (q31_t)0x7fdf9b55, (q31_t)0xfbfa3c9f, (q31_t)0x7fdecfe8, (q31_t)0xfbedb212, + (q31_t)0x7fde0205, (q31_t)0xfbe127ac, (q31_t)0x7fdd31ac, (q31_t)0xfbd49d70, + (q31_t)0x7fdc5edc, (q31_t)0xfbc8135c, (q31_t)0x7fdb8996, (q31_t)0xfbbb8973, + (q31_t)0x7fdab1d9, (q31_t)0xfbaeffb3, (q31_t)0x7fd9d7a7, (q31_t)0xfba2761e, + (q31_t)0x7fd8fafe, (q31_t)0xfb95ecb4, (q31_t)0x7fd81bdf, (q31_t)0xfb896375, + (q31_t)0x7fd73a4a, (q31_t)0xfb7cda63, (q31_t)0x7fd6563f, (q31_t)0xfb70517d, + (q31_t)0x7fd56fbe, (q31_t)0xfb63c8c4, (q31_t)0x7fd486c7, (q31_t)0xfb574039, + (q31_t)0x7fd39b5a, (q31_t)0xfb4ab7db, (q31_t)0x7fd2ad77, (q31_t)0xfb3e2fac, + (q31_t)0x7fd1bd1e, (q31_t)0xfb31a7ac, (q31_t)0x7fd0ca4f, (q31_t)0xfb251fdc, + (q31_t)0x7fcfd50b, (q31_t)0xfb18983b, (q31_t)0x7fcedd50, (q31_t)0xfb0c10cb, + (q31_t)0x7fcde320, (q31_t)0xfaff898c, (q31_t)0x7fcce67a, (q31_t)0xfaf3027e, + (q31_t)0x7fcbe75e, (q31_t)0xfae67ba2, (q31_t)0x7fcae5cd, (q31_t)0xfad9f4f8, + (q31_t)0x7fc9e1c6, (q31_t)0xfacd6e81, (q31_t)0x7fc8db4a, (q31_t)0xfac0e83d, + (q31_t)0x7fc7d258, (q31_t)0xfab4622d, (q31_t)0x7fc6c6f0, (q31_t)0xfaa7dc52, + (q31_t)0x7fc5b913, (q31_t)0xfa9b56ab, (q31_t)0x7fc4a8c1, (q31_t)0xfa8ed139, + (q31_t)0x7fc395f9, (q31_t)0xfa824bfd, (q31_t)0x7fc280bc, (q31_t)0xfa75c6f8, + (q31_t)0x7fc1690a, (q31_t)0xfa694229, (q31_t)0x7fc04ee3, (q31_t)0xfa5cbd91, + (q31_t)0x7fbf3246, (q31_t)0xfa503930, (q31_t)0x7fbe1334, (q31_t)0xfa43b508, + (q31_t)0x7fbcf1ad, (q31_t)0xfa373119, (q31_t)0x7fbbcdb1, (q31_t)0xfa2aad62, + (q31_t)0x7fbaa740, (q31_t)0xfa1e29e5, (q31_t)0x7fb97e5a, (q31_t)0xfa11a6a3, + (q31_t)0x7fb852ff, (q31_t)0xfa05239a, (q31_t)0x7fb7252f, (q31_t)0xf9f8a0cd, + (q31_t)0x7fb5f4ea, (q31_t)0xf9ec1e3b, (q31_t)0x7fb4c231, (q31_t)0xf9df9be6, + (q31_t)0x7fb38d02, (q31_t)0xf9d319cc, (q31_t)0x7fb2555f, (q31_t)0xf9c697f0, + (q31_t)0x7fb11b48, (q31_t)0xf9ba1651, (q31_t)0x7fafdebb, (q31_t)0xf9ad94f0, + (q31_t)0x7fae9fbb, (q31_t)0xf9a113cd, (q31_t)0x7fad5e45, (q31_t)0xf99492ea, + (q31_t)0x7fac1a5b, (q31_t)0xf9881245, (q31_t)0x7faad3fd, (q31_t)0xf97b91e1, + (q31_t)0x7fa98b2a, (q31_t)0xf96f11bc, (q31_t)0x7fa83fe3, (q31_t)0xf96291d9, + (q31_t)0x7fa6f228, (q31_t)0xf9561237, (q31_t)0x7fa5a1f9, (q31_t)0xf94992d7, + (q31_t)0x7fa44f55, (q31_t)0xf93d13b8, (q31_t)0x7fa2fa3d, (q31_t)0xf93094dd, + (q31_t)0x7fa1a2b2, (q31_t)0xf9241645, (q31_t)0x7fa048b2, (q31_t)0xf91797f0, + (q31_t)0x7f9eec3e, (q31_t)0xf90b19e0, (q31_t)0x7f9d8d56, (q31_t)0xf8fe9c15, + (q31_t)0x7f9c2bfb, (q31_t)0xf8f21e8e, (q31_t)0x7f9ac82c, (q31_t)0xf8e5a14d, + (q31_t)0x7f9961e8, (q31_t)0xf8d92452, (q31_t)0x7f97f932, (q31_t)0xf8cca79e, + (q31_t)0x7f968e07, (q31_t)0xf8c02b31, (q31_t)0x7f952069, (q31_t)0xf8b3af0c, + (q31_t)0x7f93b058, (q31_t)0xf8a7332e, (q31_t)0x7f923dd2, (q31_t)0xf89ab799, + (q31_t)0x7f90c8da, (q31_t)0xf88e3c4d, (q31_t)0x7f8f516e, (q31_t)0xf881c14b, + (q31_t)0x7f8dd78f, (q31_t)0xf8754692, (q31_t)0x7f8c5b3d, (q31_t)0xf868cc24, + (q31_t)0x7f8adc77, (q31_t)0xf85c5201, (q31_t)0x7f895b3e, (q31_t)0xf84fd829, + (q31_t)0x7f87d792, (q31_t)0xf8435e9d, (q31_t)0x7f865174, (q31_t)0xf836e55d, + (q31_t)0x7f84c8e2, (q31_t)0xf82a6c6a, (q31_t)0x7f833ddd, (q31_t)0xf81df3c5, + (q31_t)0x7f81b065, (q31_t)0xf8117b6d, (q31_t)0x7f80207b, (q31_t)0xf8050364, + (q31_t)0x7f7e8e1e, (q31_t)0xf7f88ba9, (q31_t)0x7f7cf94e, (q31_t)0xf7ec143e, + (q31_t)0x7f7b620c, (q31_t)0xf7df9d22, (q31_t)0x7f79c857, (q31_t)0xf7d32657, + (q31_t)0x7f782c30, (q31_t)0xf7c6afdc, (q31_t)0x7f768d96, (q31_t)0xf7ba39b3, + (q31_t)0x7f74ec8a, (q31_t)0xf7adc3db, (q31_t)0x7f73490b, (q31_t)0xf7a14e55, + (q31_t)0x7f71a31b, (q31_t)0xf794d922, (q31_t)0x7f6ffab8, (q31_t)0xf7886442, + (q31_t)0x7f6e4fe3, (q31_t)0xf77befb5, (q31_t)0x7f6ca29c, (q31_t)0xf76f7b7d, + (q31_t)0x7f6af2e3, (q31_t)0xf7630799, (q31_t)0x7f6940b8, (q31_t)0xf756940a, + (q31_t)0x7f678c1c, (q31_t)0xf74a20d0, (q31_t)0x7f65d50d, (q31_t)0xf73daded, + (q31_t)0x7f641b8d, (q31_t)0xf7313b60, (q31_t)0x7f625f9b, (q31_t)0xf724c92a, + (q31_t)0x7f60a138, (q31_t)0xf718574b, (q31_t)0x7f5ee063, (q31_t)0xf70be5c4, + (q31_t)0x7f5d1d1d, (q31_t)0xf6ff7496, (q31_t)0x7f5b5765, (q31_t)0xf6f303c0, + (q31_t)0x7f598f3c, (q31_t)0xf6e69344, (q31_t)0x7f57c4a2, (q31_t)0xf6da2321, + (q31_t)0x7f55f796, (q31_t)0xf6cdb359, (q31_t)0x7f54281a, (q31_t)0xf6c143ec, + (q31_t)0x7f52562c, (q31_t)0xf6b4d4d9, (q31_t)0x7f5081cd, (q31_t)0xf6a86623, + (q31_t)0x7f4eaafe, (q31_t)0xf69bf7c9, (q31_t)0x7f4cd1be, (q31_t)0xf68f89cb, + (q31_t)0x7f4af60d, (q31_t)0xf6831c2b, (q31_t)0x7f4917eb, (q31_t)0xf676aee8, + (q31_t)0x7f473759, (q31_t)0xf66a4203, (q31_t)0x7f455456, (q31_t)0xf65dd57d, + (q31_t)0x7f436ee3, (q31_t)0xf6516956, (q31_t)0x7f4186ff, (q31_t)0xf644fd8f, + (q31_t)0x7f3f9cab, (q31_t)0xf6389228, (q31_t)0x7f3dafe7, (q31_t)0xf62c2721, + (q31_t)0x7f3bc0b3, (q31_t)0xf61fbc7b, (q31_t)0x7f39cf0e, (q31_t)0xf6135237, + (q31_t)0x7f37dafa, (q31_t)0xf606e854, (q31_t)0x7f35e476, (q31_t)0xf5fa7ed4, + (q31_t)0x7f33eb81, (q31_t)0xf5ee15b7, (q31_t)0x7f31f01d, (q31_t)0xf5e1acfd, + (q31_t)0x7f2ff24a, (q31_t)0xf5d544a7, (q31_t)0x7f2df206, (q31_t)0xf5c8dcb6, + (q31_t)0x7f2bef53, (q31_t)0xf5bc7529, (q31_t)0x7f29ea31, (q31_t)0xf5b00e02, + (q31_t)0x7f27e29f, (q31_t)0xf5a3a740, (q31_t)0x7f25d89e, (q31_t)0xf59740e5, + (q31_t)0x7f23cc2e, (q31_t)0xf58adaf0, (q31_t)0x7f21bd4e, (q31_t)0xf57e7563, + (q31_t)0x7f1fabff, (q31_t)0xf572103d, (q31_t)0x7f1d9842, (q31_t)0xf565ab80, + (q31_t)0x7f1b8215, (q31_t)0xf559472b, (q31_t)0x7f19697a, (q31_t)0xf54ce33f, + (q31_t)0x7f174e70, (q31_t)0xf5407fbd, (q31_t)0x7f1530f7, (q31_t)0xf5341ca5, + (q31_t)0x7f13110f, (q31_t)0xf527b9f7, (q31_t)0x7f10eeb9, (q31_t)0xf51b57b5, + (q31_t)0x7f0ec9f5, (q31_t)0xf50ef5de, (q31_t)0x7f0ca2c2, (q31_t)0xf5029473, + (q31_t)0x7f0a7921, (q31_t)0xf4f63374, (q31_t)0x7f084d12, (q31_t)0xf4e9d2e3, + (q31_t)0x7f061e95, (q31_t)0xf4dd72be, (q31_t)0x7f03eda9, (q31_t)0xf4d11308, + (q31_t)0x7f01ba50, (q31_t)0xf4c4b3c0, (q31_t)0x7eff8489, (q31_t)0xf4b854e7, + (q31_t)0x7efd4c54, (q31_t)0xf4abf67e, (q31_t)0x7efb11b1, (q31_t)0xf49f9884, + (q31_t)0x7ef8d4a1, (q31_t)0xf4933afa, (q31_t)0x7ef69523, (q31_t)0xf486dde1, + (q31_t)0x7ef45338, (q31_t)0xf47a8139, (q31_t)0x7ef20ee0, (q31_t)0xf46e2504, + (q31_t)0x7eefc81a, (q31_t)0xf461c940, (q31_t)0x7eed7ee7, (q31_t)0xf4556def, + (q31_t)0x7eeb3347, (q31_t)0xf4491311, (q31_t)0x7ee8e53a, (q31_t)0xf43cb8a7, + (q31_t)0x7ee694c1, (q31_t)0xf4305eb0, (q31_t)0x7ee441da, (q31_t)0xf424052f, + (q31_t)0x7ee1ec87, (q31_t)0xf417ac22, (q31_t)0x7edf94c7, (q31_t)0xf40b538b, + (q31_t)0x7edd3a9a, (q31_t)0xf3fefb6a, (q31_t)0x7edade01, (q31_t)0xf3f2a3bf, + (q31_t)0x7ed87efc, (q31_t)0xf3e64c8c, (q31_t)0x7ed61d8a, (q31_t)0xf3d9f5cf, + (q31_t)0x7ed3b9ad, (q31_t)0xf3cd9f8b, (q31_t)0x7ed15363, (q31_t)0xf3c149bf, + (q31_t)0x7eceeaad, (q31_t)0xf3b4f46c, (q31_t)0x7ecc7f8b, (q31_t)0xf3a89f92, + (q31_t)0x7eca11fe, (q31_t)0xf39c4b32, (q31_t)0x7ec7a205, (q31_t)0xf38ff74d, + (q31_t)0x7ec52fa0, (q31_t)0xf383a3e2, (q31_t)0x7ec2bad0, (q31_t)0xf37750f2, + (q31_t)0x7ec04394, (q31_t)0xf36afe7e, (q31_t)0x7ebdc9ed, (q31_t)0xf35eac86, + (q31_t)0x7ebb4ddb, (q31_t)0xf3525b0b, (q31_t)0x7eb8cf5d, (q31_t)0xf3460a0d, + (q31_t)0x7eb64e75, (q31_t)0xf339b98d, (q31_t)0x7eb3cb21, (q31_t)0xf32d698a, + (q31_t)0x7eb14563, (q31_t)0xf3211a07, (q31_t)0x7eaebd3a, (q31_t)0xf314cb02, + (q31_t)0x7eac32a6, (q31_t)0xf3087c7d, (q31_t)0x7ea9a5a8, (q31_t)0xf2fc2e77, + (q31_t)0x7ea7163f, (q31_t)0xf2efe0f2, (q31_t)0x7ea4846c, (q31_t)0xf2e393ef, + (q31_t)0x7ea1f02f, (q31_t)0xf2d7476c, (q31_t)0x7e9f5988, (q31_t)0xf2cafb6b, + (q31_t)0x7e9cc076, (q31_t)0xf2beafed, (q31_t)0x7e9a24fb, (q31_t)0xf2b264f2, + (q31_t)0x7e978715, (q31_t)0xf2a61a7a, (q31_t)0x7e94e6c6, (q31_t)0xf299d085, + (q31_t)0x7e92440d, (q31_t)0xf28d8715, (q31_t)0x7e8f9eeb, (q31_t)0xf2813e2a, + (q31_t)0x7e8cf75f, (q31_t)0xf274f5c3, (q31_t)0x7e8a4d6a, (q31_t)0xf268ade3, + (q31_t)0x7e87a10c, (q31_t)0xf25c6688, (q31_t)0x7e84f245, (q31_t)0xf2501fb5, + (q31_t)0x7e824114, (q31_t)0xf243d968, (q31_t)0x7e7f8d7b, (q31_t)0xf23793a3, + (q31_t)0x7e7cd778, (q31_t)0xf22b4e66, (q31_t)0x7e7a1f0d, (q31_t)0xf21f09b1, + (q31_t)0x7e77643a, (q31_t)0xf212c585, (q31_t)0x7e74a6fd, (q31_t)0xf20681e3, + (q31_t)0x7e71e759, (q31_t)0xf1fa3ecb, (q31_t)0x7e6f254c, (q31_t)0xf1edfc3d, + (q31_t)0x7e6c60d7, (q31_t)0xf1e1ba3a, (q31_t)0x7e6999fa, (q31_t)0xf1d578c2, + (q31_t)0x7e66d0b4, (q31_t)0xf1c937d6, (q31_t)0x7e640507, (q31_t)0xf1bcf777, + (q31_t)0x7e6136f3, (q31_t)0xf1b0b7a4, (q31_t)0x7e5e6676, (q31_t)0xf1a4785e, + (q31_t)0x7e5b9392, (q31_t)0xf19839a6, (q31_t)0x7e58be47, (q31_t)0xf18bfb7d, + (q31_t)0x7e55e694, (q31_t)0xf17fbde2, (q31_t)0x7e530c7a, (q31_t)0xf17380d6, + (q31_t)0x7e502ff9, (q31_t)0xf1674459, (q31_t)0x7e4d5110, (q31_t)0xf15b086d, + (q31_t)0x7e4a6fc1, (q31_t)0xf14ecd11, (q31_t)0x7e478c0b, (q31_t)0xf1429247, + (q31_t)0x7e44a5ef, (q31_t)0xf136580d, (q31_t)0x7e41bd6c, (q31_t)0xf12a1e66, + (q31_t)0x7e3ed282, (q31_t)0xf11de551, (q31_t)0x7e3be532, (q31_t)0xf111accf, + (q31_t)0x7e38f57c, (q31_t)0xf10574e0, (q31_t)0x7e360360, (q31_t)0xf0f93d86, + (q31_t)0x7e330ede, (q31_t)0xf0ed06bf, (q31_t)0x7e3017f6, (q31_t)0xf0e0d08d, + (q31_t)0x7e2d1ea8, (q31_t)0xf0d49af1, (q31_t)0x7e2a22f4, (q31_t)0xf0c865ea, + (q31_t)0x7e2724db, (q31_t)0xf0bc317a, (q31_t)0x7e24245d, (q31_t)0xf0affda0, + (q31_t)0x7e212179, (q31_t)0xf0a3ca5d, (q31_t)0x7e1e1c30, (q31_t)0xf09797b2, + (q31_t)0x7e1b1482, (q31_t)0xf08b659f, (q31_t)0x7e180a6f, (q31_t)0xf07f3424, + (q31_t)0x7e14fdf7, (q31_t)0xf0730342, (q31_t)0x7e11ef1b, (q31_t)0xf066d2fa, + (q31_t)0x7e0eddd9, (q31_t)0xf05aa34c, (q31_t)0x7e0bca34, (q31_t)0xf04e7438, + (q31_t)0x7e08b42a, (q31_t)0xf04245c0, (q31_t)0x7e059bbb, (q31_t)0xf03617e2, + (q31_t)0x7e0280e9, (q31_t)0xf029eaa1, (q31_t)0x7dff63b2, (q31_t)0xf01dbdfb, + (q31_t)0x7dfc4418, (q31_t)0xf01191f3, (q31_t)0x7df9221a, (q31_t)0xf0056687, + (q31_t)0x7df5fdb8, (q31_t)0xeff93bba, (q31_t)0x7df2d6f3, (q31_t)0xefed118a, + (q31_t)0x7defadca, (q31_t)0xefe0e7f9, (q31_t)0x7dec823e, (q31_t)0xefd4bf08, + (q31_t)0x7de9544f, (q31_t)0xefc896b5, (q31_t)0x7de623fd, (q31_t)0xefbc6f03, + (q31_t)0x7de2f148, (q31_t)0xefb047f2, (q31_t)0x7ddfbc30, (q31_t)0xefa42181, + (q31_t)0x7ddc84b5, (q31_t)0xef97fbb2, (q31_t)0x7dd94ad8, (q31_t)0xef8bd685, + (q31_t)0x7dd60e99, (q31_t)0xef7fb1fa, (q31_t)0x7dd2cff7, (q31_t)0xef738e12, + (q31_t)0x7dcf8ef3, (q31_t)0xef676ace, (q31_t)0x7dcc4b8d, (q31_t)0xef5b482d, + (q31_t)0x7dc905c5, (q31_t)0xef4f2630, (q31_t)0x7dc5bd9b, (q31_t)0xef4304d8, + (q31_t)0x7dc2730f, (q31_t)0xef36e426, (q31_t)0x7dbf2622, (q31_t)0xef2ac419, + (q31_t)0x7dbbd6d4, (q31_t)0xef1ea4b2, (q31_t)0x7db88524, (q31_t)0xef1285f2, + (q31_t)0x7db53113, (q31_t)0xef0667d9, (q31_t)0x7db1daa2, (q31_t)0xeefa4a67, + (q31_t)0x7dae81cf, (q31_t)0xeeee2d9d, (q31_t)0x7dab269b, (q31_t)0xeee2117c, + (q31_t)0x7da7c907, (q31_t)0xeed5f604, (q31_t)0x7da46912, (q31_t)0xeec9db35, + (q31_t)0x7da106bd, (q31_t)0xeebdc110, (q31_t)0x7d9da208, (q31_t)0xeeb1a796, + (q31_t)0x7d9a3af2, (q31_t)0xeea58ec6, (q31_t)0x7d96d17d, (q31_t)0xee9976a1, + (q31_t)0x7d9365a8, (q31_t)0xee8d5f29, (q31_t)0x7d8ff772, (q31_t)0xee81485c, + (q31_t)0x7d8c86de, (q31_t)0xee75323c, (q31_t)0x7d8913ea, (q31_t)0xee691cc9, + (q31_t)0x7d859e96, (q31_t)0xee5d0804, (q31_t)0x7d8226e4, (q31_t)0xee50f3ed, + (q31_t)0x7d7eacd2, (q31_t)0xee44e084, (q31_t)0x7d7b3061, (q31_t)0xee38cdcb, + (q31_t)0x7d77b192, (q31_t)0xee2cbbc1, (q31_t)0x7d743064, (q31_t)0xee20aa67, + (q31_t)0x7d70acd7, (q31_t)0xee1499bd, (q31_t)0x7d6d26ec, (q31_t)0xee0889c4, + (q31_t)0x7d699ea3, (q31_t)0xedfc7a7c, (q31_t)0x7d6613fb, (q31_t)0xedf06be6, + (q31_t)0x7d6286f6, (q31_t)0xede45e03, (q31_t)0x7d5ef793, (q31_t)0xedd850d2, + (q31_t)0x7d5b65d2, (q31_t)0xedcc4454, (q31_t)0x7d57d1b3, (q31_t)0xedc0388a, + (q31_t)0x7d543b37, (q31_t)0xedb42d74, (q31_t)0x7d50a25e, (q31_t)0xeda82313, + (q31_t)0x7d4d0728, (q31_t)0xed9c1967, (q31_t)0x7d496994, (q31_t)0xed901070, + (q31_t)0x7d45c9a4, (q31_t)0xed84082f, (q31_t)0x7d422757, (q31_t)0xed7800a5, + (q31_t)0x7d3e82ae, (q31_t)0xed6bf9d1, (q31_t)0x7d3adba7, (q31_t)0xed5ff3b5, + (q31_t)0x7d373245, (q31_t)0xed53ee51, (q31_t)0x7d338687, (q31_t)0xed47e9a5, + (q31_t)0x7d2fd86c, (q31_t)0xed3be5b1, (q31_t)0x7d2c27f6, (q31_t)0xed2fe277, + (q31_t)0x7d287523, (q31_t)0xed23dff7, (q31_t)0x7d24bff6, (q31_t)0xed17de31, + (q31_t)0x7d21086c, (q31_t)0xed0bdd25, (q31_t)0x7d1d4e88, (q31_t)0xecffdcd4, + (q31_t)0x7d199248, (q31_t)0xecf3dd3f, (q31_t)0x7d15d3ad, (q31_t)0xece7de66, + (q31_t)0x7d1212b7, (q31_t)0xecdbe04a, (q31_t)0x7d0e4f67, (q31_t)0xeccfe2ea, + (q31_t)0x7d0a89bc, (q31_t)0xecc3e648, (q31_t)0x7d06c1b6, (q31_t)0xecb7ea63, + (q31_t)0x7d02f757, (q31_t)0xecabef3d, (q31_t)0x7cff2a9d, (q31_t)0xec9ff4d6, + (q31_t)0x7cfb5b89, (q31_t)0xec93fb2e, (q31_t)0x7cf78a1b, (q31_t)0xec880245, + (q31_t)0x7cf3b653, (q31_t)0xec7c0a1d, (q31_t)0x7cefe032, (q31_t)0xec7012b5, + (q31_t)0x7cec07b8, (q31_t)0xec641c0e, (q31_t)0x7ce82ce4, (q31_t)0xec582629, + (q31_t)0x7ce44fb7, (q31_t)0xec4c3106, (q31_t)0x7ce07031, (q31_t)0xec403ca5, + (q31_t)0x7cdc8e52, (q31_t)0xec344908, (q31_t)0x7cd8aa1b, (q31_t)0xec28562d, + (q31_t)0x7cd4c38b, (q31_t)0xec1c6417, (q31_t)0x7cd0daa2, (q31_t)0xec1072c4, + (q31_t)0x7cccef62, (q31_t)0xec048237, (q31_t)0x7cc901c9, (q31_t)0xebf8926f, + (q31_t)0x7cc511d9, (q31_t)0xebeca36c, (q31_t)0x7cc11f90, (q31_t)0xebe0b52f, + (q31_t)0x7cbd2af0, (q31_t)0xebd4c7ba, (q31_t)0x7cb933f9, (q31_t)0xebc8db0b, + (q31_t)0x7cb53aaa, (q31_t)0xebbcef23, (q31_t)0x7cb13f04, (q31_t)0xebb10404, + (q31_t)0x7cad4107, (q31_t)0xeba519ad, (q31_t)0x7ca940b3, (q31_t)0xeb99301f, + (q31_t)0x7ca53e09, (q31_t)0xeb8d475b, (q31_t)0x7ca13908, (q31_t)0xeb815f60, + (q31_t)0x7c9d31b0, (q31_t)0xeb75782f, (q31_t)0x7c992803, (q31_t)0xeb6991ca, + (q31_t)0x7c951bff, (q31_t)0xeb5dac2f, (q31_t)0x7c910da5, (q31_t)0xeb51c760, + (q31_t)0x7c8cfcf6, (q31_t)0xeb45e35d, (q31_t)0x7c88e9f1, (q31_t)0xeb3a0027, + (q31_t)0x7c84d496, (q31_t)0xeb2e1dbe, (q31_t)0x7c80bce7, (q31_t)0xeb223c22, + (q31_t)0x7c7ca2e2, (q31_t)0xeb165b54, (q31_t)0x7c788688, (q31_t)0xeb0a7b54, + (q31_t)0x7c7467d9, (q31_t)0xeafe9c24, (q31_t)0x7c7046d6, (q31_t)0xeaf2bdc3, + (q31_t)0x7c6c237e, (q31_t)0xeae6e031, (q31_t)0x7c67fdd1, (q31_t)0xeadb0370, + (q31_t)0x7c63d5d1, (q31_t)0xeacf277f, (q31_t)0x7c5fab7c, (q31_t)0xeac34c60, + (q31_t)0x7c5b7ed4, (q31_t)0xeab77212, (q31_t)0x7c574fd8, (q31_t)0xeaab9896, + (q31_t)0x7c531e88, (q31_t)0xea9fbfed, (q31_t)0x7c4eeae5, (q31_t)0xea93e817, + (q31_t)0x7c4ab4ef, (q31_t)0xea881114, (q31_t)0x7c467ca6, (q31_t)0xea7c3ae5, + (q31_t)0x7c42420a, (q31_t)0xea70658a, (q31_t)0x7c3e051b, (q31_t)0xea649105, + (q31_t)0x7c39c5da, (q31_t)0xea58bd54, (q31_t)0x7c358446, (q31_t)0xea4cea79, + (q31_t)0x7c314060, (q31_t)0xea411874, (q31_t)0x7c2cfa28, (q31_t)0xea354746, + (q31_t)0x7c28b19e, (q31_t)0xea2976ef, (q31_t)0x7c2466c2, (q31_t)0xea1da770, + (q31_t)0x7c201994, (q31_t)0xea11d8c8, (q31_t)0x7c1bca16, (q31_t)0xea060af9, + (q31_t)0x7c177845, (q31_t)0xe9fa3e03, (q31_t)0x7c132424, (q31_t)0xe9ee71e6, + (q31_t)0x7c0ecdb2, (q31_t)0xe9e2a6a3, (q31_t)0x7c0a74f0, (q31_t)0xe9d6dc3b, + (q31_t)0x7c0619dc, (q31_t)0xe9cb12ad, (q31_t)0x7c01bc78, (q31_t)0xe9bf49fa, + (q31_t)0x7bfd5cc4, (q31_t)0xe9b38223, (q31_t)0x7bf8fac0, (q31_t)0xe9a7bb28, + (q31_t)0x7bf4966c, (q31_t)0xe99bf509, (q31_t)0x7bf02fc9, (q31_t)0xe9902fc7, + (q31_t)0x7bebc6d5, (q31_t)0xe9846b63, (q31_t)0x7be75b93, (q31_t)0xe978a7dd, + (q31_t)0x7be2ee01, (q31_t)0xe96ce535, (q31_t)0x7bde7e20, (q31_t)0xe961236c, + (q31_t)0x7bda0bf0, (q31_t)0xe9556282, (q31_t)0x7bd59771, (q31_t)0xe949a278, + (q31_t)0x7bd120a4, (q31_t)0xe93de34e, (q31_t)0x7bcca789, (q31_t)0xe9322505, + (q31_t)0x7bc82c1f, (q31_t)0xe926679c, (q31_t)0x7bc3ae67, (q31_t)0xe91aab16, + (q31_t)0x7bbf2e62, (q31_t)0xe90eef71, (q31_t)0x7bbaac0e, (q31_t)0xe90334af, + (q31_t)0x7bb6276e, (q31_t)0xe8f77acf, (q31_t)0x7bb1a080, (q31_t)0xe8ebc1d3, + (q31_t)0x7bad1744, (q31_t)0xe8e009ba, (q31_t)0x7ba88bbc, (q31_t)0xe8d45286, + (q31_t)0x7ba3fde7, (q31_t)0xe8c89c37, (q31_t)0x7b9f6dc5, (q31_t)0xe8bce6cd, + (q31_t)0x7b9adb57, (q31_t)0xe8b13248, (q31_t)0x7b96469d, (q31_t)0xe8a57ea9, + (q31_t)0x7b91af97, (q31_t)0xe899cbf1, (q31_t)0x7b8d1644, (q31_t)0xe88e1a20, + (q31_t)0x7b887aa6, (q31_t)0xe8826936, (q31_t)0x7b83dcbc, (q31_t)0xe876b934, + (q31_t)0x7b7f3c87, (q31_t)0xe86b0a1a, (q31_t)0x7b7a9a07, (q31_t)0xe85f5be9, + (q31_t)0x7b75f53c, (q31_t)0xe853aea1, (q31_t)0x7b714e25, (q31_t)0xe8480243, + (q31_t)0x7b6ca4c4, (q31_t)0xe83c56cf, (q31_t)0x7b67f919, (q31_t)0xe830ac45, + (q31_t)0x7b634b23, (q31_t)0xe82502a7, (q31_t)0x7b5e9ae4, (q31_t)0xe81959f4, + (q31_t)0x7b59e85a, (q31_t)0xe80db22d, (q31_t)0x7b553386, (q31_t)0xe8020b52, + (q31_t)0x7b507c69, (q31_t)0xe7f66564, (q31_t)0x7b4bc303, (q31_t)0xe7eac063, + (q31_t)0x7b470753, (q31_t)0xe7df1c50, (q31_t)0x7b42495a, (q31_t)0xe7d3792b, + (q31_t)0x7b3d8918, (q31_t)0xe7c7d6f4, (q31_t)0x7b38c68e, (q31_t)0xe7bc35ad, + (q31_t)0x7b3401bb, (q31_t)0xe7b09555, (q31_t)0x7b2f3aa0, (q31_t)0xe7a4f5ed, + (q31_t)0x7b2a713d, (q31_t)0xe7995776, (q31_t)0x7b25a591, (q31_t)0xe78db9ef, + (q31_t)0x7b20d79e, (q31_t)0xe7821d59, (q31_t)0x7b1c0764, (q31_t)0xe77681b6, + (q31_t)0x7b1734e2, (q31_t)0xe76ae704, (q31_t)0x7b126019, (q31_t)0xe75f4d45, + (q31_t)0x7b0d8909, (q31_t)0xe753b479, (q31_t)0x7b08afb2, (q31_t)0xe7481ca1, + (q31_t)0x7b03d414, (q31_t)0xe73c85bc, (q31_t)0x7afef630, (q31_t)0xe730efcc, + (q31_t)0x7afa1605, (q31_t)0xe7255ad1, (q31_t)0x7af53395, (q31_t)0xe719c6cb, + (q31_t)0x7af04edf, (q31_t)0xe70e33bb, (q31_t)0x7aeb67e3, (q31_t)0xe702a1a1, + (q31_t)0x7ae67ea1, (q31_t)0xe6f7107e, (q31_t)0x7ae1931a, (q31_t)0xe6eb8052, + (q31_t)0x7adca54e, (q31_t)0xe6dff11d, (q31_t)0x7ad7b53d, (q31_t)0xe6d462e1, + (q31_t)0x7ad2c2e8, (q31_t)0xe6c8d59c, (q31_t)0x7acdce4d, (q31_t)0xe6bd4951, + (q31_t)0x7ac8d76f, (q31_t)0xe6b1bdff, (q31_t)0x7ac3de4c, (q31_t)0xe6a633a6, + (q31_t)0x7abee2e5, (q31_t)0xe69aaa48, (q31_t)0x7ab9e53a, (q31_t)0xe68f21e5, + (q31_t)0x7ab4e54c, (q31_t)0xe6839a7c, (q31_t)0x7aafe31b, (q31_t)0xe6781410, + (q31_t)0x7aaadea6, (q31_t)0xe66c8e9f, (q31_t)0x7aa5d7ee, (q31_t)0xe6610a2a, + (q31_t)0x7aa0cef3, (q31_t)0xe65586b3, (q31_t)0x7a9bc3b6, (q31_t)0xe64a0438, + (q31_t)0x7a96b636, (q31_t)0xe63e82bc, (q31_t)0x7a91a674, (q31_t)0xe633023e, + (q31_t)0x7a8c9470, (q31_t)0xe62782be, (q31_t)0x7a87802a, (q31_t)0xe61c043d, + (q31_t)0x7a8269a3, (q31_t)0xe61086bc, (q31_t)0x7a7d50da, (q31_t)0xe6050a3b, + (q31_t)0x7a7835cf, (q31_t)0xe5f98ebb, (q31_t)0x7a731884, (q31_t)0xe5ee143b, + (q31_t)0x7a6df8f8, (q31_t)0xe5e29abc, (q31_t)0x7a68d72b, (q31_t)0xe5d72240, + (q31_t)0x7a63b31d, (q31_t)0xe5cbaac5, (q31_t)0x7a5e8cd0, (q31_t)0xe5c0344d, + (q31_t)0x7a596442, (q31_t)0xe5b4bed8, (q31_t)0x7a543974, (q31_t)0xe5a94a67, + (q31_t)0x7a4f0c67, (q31_t)0xe59dd6f9, (q31_t)0x7a49dd1a, (q31_t)0xe5926490, + (q31_t)0x7a44ab8e, (q31_t)0xe586f32c, (q31_t)0x7a3f77c3, (q31_t)0xe57b82cd, + (q31_t)0x7a3a41b9, (q31_t)0xe5701374, (q31_t)0x7a350970, (q31_t)0xe564a521, + (q31_t)0x7a2fcee8, (q31_t)0xe55937d5, (q31_t)0x7a2a9223, (q31_t)0xe54dcb8f, + (q31_t)0x7a25531f, (q31_t)0xe5426051, (q31_t)0x7a2011de, (q31_t)0xe536f61b, + (q31_t)0x7a1ace5f, (q31_t)0xe52b8cee, (q31_t)0x7a1588a2, (q31_t)0xe52024c9, + (q31_t)0x7a1040a8, (q31_t)0xe514bdad, (q31_t)0x7a0af671, (q31_t)0xe509579b, + (q31_t)0x7a05a9fd, (q31_t)0xe4fdf294, (q31_t)0x7a005b4d, (q31_t)0xe4f28e96, + (q31_t)0x79fb0a60, (q31_t)0xe4e72ba4, (q31_t)0x79f5b737, (q31_t)0xe4dbc9bd, + (q31_t)0x79f061d2, (q31_t)0xe4d068e2, (q31_t)0x79eb0a31, (q31_t)0xe4c50914, + (q31_t)0x79e5b054, (q31_t)0xe4b9aa52, (q31_t)0x79e0543c, (q31_t)0xe4ae4c9d, + (q31_t)0x79daf5e8, (q31_t)0xe4a2eff6, (q31_t)0x79d5955a, (q31_t)0xe497945d, + (q31_t)0x79d03291, (q31_t)0xe48c39d3, (q31_t)0x79cacd8d, (q31_t)0xe480e057, + (q31_t)0x79c5664f, (q31_t)0xe47587eb, (q31_t)0x79bffcd7, (q31_t)0xe46a308f, + (q31_t)0x79ba9125, (q31_t)0xe45eda43, (q31_t)0x79b52339, (q31_t)0xe4538507, + (q31_t)0x79afb313, (q31_t)0xe44830dd, (q31_t)0x79aa40b4, (q31_t)0xe43cddc4, + (q31_t)0x79a4cc1c, (q31_t)0xe4318bbe, (q31_t)0x799f554b, (q31_t)0xe4263ac9, + (q31_t)0x7999dc42, (q31_t)0xe41aeae8, (q31_t)0x799460ff, (q31_t)0xe40f9c1a, + (q31_t)0x798ee385, (q31_t)0xe4044e60, (q31_t)0x798963d2, (q31_t)0xe3f901ba, + (q31_t)0x7983e1e8, (q31_t)0xe3edb628, (q31_t)0x797e5dc6, (q31_t)0xe3e26bac, + (q31_t)0x7978d76c, (q31_t)0xe3d72245, (q31_t)0x79734edc, (q31_t)0xe3cbd9f4, + (q31_t)0x796dc414, (q31_t)0xe3c092b9, (q31_t)0x79683715, (q31_t)0xe3b54c95, + (q31_t)0x7962a7e0, (q31_t)0xe3aa0788, (q31_t)0x795d1675, (q31_t)0xe39ec393, + (q31_t)0x795782d3, (q31_t)0xe39380b6, (q31_t)0x7951ecfc, (q31_t)0xe3883ef2, + (q31_t)0x794c54ee, (q31_t)0xe37cfe47, (q31_t)0x7946baac, (q31_t)0xe371beb5, + (q31_t)0x79411e33, (q31_t)0xe366803c, (q31_t)0x793b7f86, (q31_t)0xe35b42df, + (q31_t)0x7935dea4, (q31_t)0xe350069b, (q31_t)0x79303b8e, (q31_t)0xe344cb73, + (q31_t)0x792a9642, (q31_t)0xe3399167, (q31_t)0x7924eec3, (q31_t)0xe32e5876, + (q31_t)0x791f4510, (q31_t)0xe32320a2, (q31_t)0x79199929, (q31_t)0xe317e9eb, + (q31_t)0x7913eb0e, (q31_t)0xe30cb451, (q31_t)0x790e3ac0, (q31_t)0xe3017fd5, + (q31_t)0x7908883f, (q31_t)0xe2f64c77, (q31_t)0x7902d38b, (q31_t)0xe2eb1a37, + (q31_t)0x78fd1ca4, (q31_t)0xe2dfe917, (q31_t)0x78f7638b, (q31_t)0xe2d4b916, + (q31_t)0x78f1a840, (q31_t)0xe2c98a35, (q31_t)0x78ebeac2, (q31_t)0xe2be5c74, + (q31_t)0x78e62b13, (q31_t)0xe2b32fd4, (q31_t)0x78e06932, (q31_t)0xe2a80456, + (q31_t)0x78daa520, (q31_t)0xe29cd9f8, (q31_t)0x78d4dedd, (q31_t)0xe291b0bd, + (q31_t)0x78cf1669, (q31_t)0xe28688a4, (q31_t)0x78c94bc4, (q31_t)0xe27b61af, + (q31_t)0x78c37eef, (q31_t)0xe2703bdc, (q31_t)0x78bdafea, (q31_t)0xe265172e, + (q31_t)0x78b7deb4, (q31_t)0xe259f3a3, (q31_t)0x78b20b4f, (q31_t)0xe24ed13d, + (q31_t)0x78ac35ba, (q31_t)0xe243affc, (q31_t)0x78a65df6, (q31_t)0xe2388fe1, + (q31_t)0x78a08402, (q31_t)0xe22d70eb, (q31_t)0x789aa7e0, (q31_t)0xe222531c, + (q31_t)0x7894c98f, (q31_t)0xe2173674, (q31_t)0x788ee910, (q31_t)0xe20c1af3, + (q31_t)0x78890663, (q31_t)0xe2010099, (q31_t)0x78832187, (q31_t)0xe1f5e768, + (q31_t)0x787d3a7e, (q31_t)0xe1eacf5f, (q31_t)0x78775147, (q31_t)0xe1dfb87f, + (q31_t)0x787165e3, (q31_t)0xe1d4a2c8, (q31_t)0x786b7852, (q31_t)0xe1c98e3b, + (q31_t)0x78658894, (q31_t)0xe1be7ad8, (q31_t)0x785f96a9, (q31_t)0xe1b368a0, + (q31_t)0x7859a292, (q31_t)0xe1a85793, (q31_t)0x7853ac4f, (q31_t)0xe19d47b1, + (q31_t)0x784db3e0, (q31_t)0xe19238fb, (q31_t)0x7847b946, (q31_t)0xe1872b72, + (q31_t)0x7841bc7f, (q31_t)0xe17c1f15, (q31_t)0x783bbd8e, (q31_t)0xe17113e5, + (q31_t)0x7835bc71, (q31_t)0xe16609e3, (q31_t)0x782fb92a, (q31_t)0xe15b0110, + (q31_t)0x7829b3b9, (q31_t)0xe14ff96a, (q31_t)0x7823ac1d, (q31_t)0xe144f2f3, + (q31_t)0x781da256, (q31_t)0xe139edac, (q31_t)0x78179666, (q31_t)0xe12ee995, + (q31_t)0x7811884d, (q31_t)0xe123e6ad, (q31_t)0x780b780a, (q31_t)0xe118e4f6, + (q31_t)0x7805659e, (q31_t)0xe10de470, (q31_t)0x77ff5109, (q31_t)0xe102e51c, + (q31_t)0x77f93a4b, (q31_t)0xe0f7e6f9, (q31_t)0x77f32165, (q31_t)0xe0ecea09, + (q31_t)0x77ed0657, (q31_t)0xe0e1ee4b, (q31_t)0x77e6e921, (q31_t)0xe0d6f3c1, + (q31_t)0x77e0c9c3, (q31_t)0xe0cbfa6a, (q31_t)0x77daa83d, (q31_t)0xe0c10247, + (q31_t)0x77d48490, (q31_t)0xe0b60b58, (q31_t)0x77ce5ebd, (q31_t)0xe0ab159e, + (q31_t)0x77c836c2, (q31_t)0xe0a0211a, (q31_t)0x77c20ca1, (q31_t)0xe0952dcb, + (q31_t)0x77bbe05a, (q31_t)0xe08a3bb2, (q31_t)0x77b5b1ec, (q31_t)0xe07f4acf, + (q31_t)0x77af8159, (q31_t)0xe0745b24, (q31_t)0x77a94ea0, (q31_t)0xe0696cb0, + (q31_t)0x77a319c2, (q31_t)0xe05e7f74, (q31_t)0x779ce2be, (q31_t)0xe053936f, + (q31_t)0x7796a996, (q31_t)0xe048a8a4, (q31_t)0x77906e49, (q31_t)0xe03dbf11, + (q31_t)0x778a30d8, (q31_t)0xe032d6b8, (q31_t)0x7783f143, (q31_t)0xe027ef99, + (q31_t)0x777daf89, (q31_t)0xe01d09b4, (q31_t)0x77776bac, (q31_t)0xe012250a, + (q31_t)0x777125ac, (q31_t)0xe007419b, (q31_t)0x776add88, (q31_t)0xdffc5f67, + (q31_t)0x77649341, (q31_t)0xdff17e70, (q31_t)0x775e46d8, (q31_t)0xdfe69eb4, + (q31_t)0x7757f84c, (q31_t)0xdfdbc036, (q31_t)0x7751a79e, (q31_t)0xdfd0e2f5, + (q31_t)0x774b54ce, (q31_t)0xdfc606f1, (q31_t)0x7744ffdd, (q31_t)0xdfbb2c2c, + (q31_t)0x773ea8ca, (q31_t)0xdfb052a5, (q31_t)0x77384f95, (q31_t)0xdfa57a5d, + (q31_t)0x7731f440, (q31_t)0xdf9aa354, (q31_t)0x772b96ca, (q31_t)0xdf8fcd8b, + (q31_t)0x77253733, (q31_t)0xdf84f902, (q31_t)0x771ed57c, (q31_t)0xdf7a25ba, + (q31_t)0x771871a5, (q31_t)0xdf6f53b3, (q31_t)0x77120bae, (q31_t)0xdf6482ed, + (q31_t)0x770ba398, (q31_t)0xdf59b369, (q31_t)0x77053962, (q31_t)0xdf4ee527, + (q31_t)0x76fecd0e, (q31_t)0xdf441828, (q31_t)0x76f85e9a, (q31_t)0xdf394c6b, + (q31_t)0x76f1ee09, (q31_t)0xdf2e81f3, (q31_t)0x76eb7b58, (q31_t)0xdf23b8be, + (q31_t)0x76e5068a, (q31_t)0xdf18f0ce, (q31_t)0x76de8f9e, (q31_t)0xdf0e2a22, + (q31_t)0x76d81695, (q31_t)0xdf0364bc, (q31_t)0x76d19b6e, (q31_t)0xdef8a09b, + (q31_t)0x76cb1e2a, (q31_t)0xdeedddc0, (q31_t)0x76c49ec9, (q31_t)0xdee31c2b, + (q31_t)0x76be1d4c, (q31_t)0xded85bdd, (q31_t)0x76b799b3, (q31_t)0xdecd9cd7, + (q31_t)0x76b113fd, (q31_t)0xdec2df18, (q31_t)0x76aa8c2c, (q31_t)0xdeb822a1, + (q31_t)0x76a4023f, (q31_t)0xdead6773, (q31_t)0x769d7637, (q31_t)0xdea2ad8d, + (q31_t)0x7696e814, (q31_t)0xde97f4f1, (q31_t)0x769057d6, (q31_t)0xde8d3d9e, + (q31_t)0x7689c57d, (q31_t)0xde828796, (q31_t)0x7683310b, (q31_t)0xde77d2d8, + (q31_t)0x767c9a7e, (q31_t)0xde6d1f65, (q31_t)0x767601d7, (q31_t)0xde626d3e, + (q31_t)0x766f6717, (q31_t)0xde57bc62, (q31_t)0x7668ca3e, (q31_t)0xde4d0cd2, + (q31_t)0x76622b4c, (q31_t)0xde425e8f, (q31_t)0x765b8a41, (q31_t)0xde37b199, + (q31_t)0x7654e71d, (q31_t)0xde2d05f1, (q31_t)0x764e41e2, (q31_t)0xde225b96, + (q31_t)0x76479a8e, (q31_t)0xde17b28a, (q31_t)0x7640f123, (q31_t)0xde0d0acc, + (q31_t)0x763a45a0, (q31_t)0xde02645d, (q31_t)0x76339806, (q31_t)0xddf7bf3e, + (q31_t)0x762ce855, (q31_t)0xdded1b6e, (q31_t)0x7626368d, (q31_t)0xdde278ef, + (q31_t)0x761f82af, (q31_t)0xddd7d7c1, (q31_t)0x7618ccba, (q31_t)0xddcd37e4, + (q31_t)0x761214b0, (q31_t)0xddc29958, (q31_t)0x760b5a90, (q31_t)0xddb7fc1e, + (q31_t)0x76049e5b, (q31_t)0xddad6036, (q31_t)0x75fde011, (q31_t)0xdda2c5a2, + (q31_t)0x75f71fb1, (q31_t)0xdd982c60, (q31_t)0x75f05d3d, (q31_t)0xdd8d9472, + (q31_t)0x75e998b5, (q31_t)0xdd82fdd8, (q31_t)0x75e2d219, (q31_t)0xdd786892, + (q31_t)0x75dc0968, (q31_t)0xdd6dd4a2, (q31_t)0x75d53ea5, (q31_t)0xdd634206, + (q31_t)0x75ce71ce, (q31_t)0xdd58b0c0, (q31_t)0x75c7a2e3, (q31_t)0xdd4e20d0, + (q31_t)0x75c0d1e7, (q31_t)0xdd439236, (q31_t)0x75b9fed7, (q31_t)0xdd3904f4, + (q31_t)0x75b329b5, (q31_t)0xdd2e7908, (q31_t)0x75ac5282, (q31_t)0xdd23ee74, + (q31_t)0x75a5793c, (q31_t)0xdd196538, (q31_t)0x759e9de5, (q31_t)0xdd0edd55, + (q31_t)0x7597c07d, (q31_t)0xdd0456ca, (q31_t)0x7590e104, (q31_t)0xdcf9d199, + (q31_t)0x7589ff7a, (q31_t)0xdcef4dc2, (q31_t)0x75831be0, (q31_t)0xdce4cb44, + (q31_t)0x757c3636, (q31_t)0xdcda4a21, (q31_t)0x75754e7c, (q31_t)0xdccfca59, + (q31_t)0x756e64b2, (q31_t)0xdcc54bec, (q31_t)0x756778d9, (q31_t)0xdcbacedb, + (q31_t)0x75608af1, (q31_t)0xdcb05326, (q31_t)0x75599afa, (q31_t)0xdca5d8cd, + (q31_t)0x7552a8f4, (q31_t)0xdc9b5fd2, (q31_t)0x754bb4e1, (q31_t)0xdc90e834, + (q31_t)0x7544bebf, (q31_t)0xdc8671f3, (q31_t)0x753dc68f, (q31_t)0xdc7bfd11, + (q31_t)0x7536cc52, (q31_t)0xdc71898d, (q31_t)0x752fd008, (q31_t)0xdc671768, + (q31_t)0x7528d1b1, (q31_t)0xdc5ca6a2, (q31_t)0x7521d14d, (q31_t)0xdc52373c, + (q31_t)0x751acedd, (q31_t)0xdc47c936, (q31_t)0x7513ca60, (q31_t)0xdc3d5c91, + (q31_t)0x750cc3d8, (q31_t)0xdc32f14d, (q31_t)0x7505bb44, (q31_t)0xdc28876a, + (q31_t)0x74feb0a5, (q31_t)0xdc1e1ee9, (q31_t)0x74f7a3fb, (q31_t)0xdc13b7c9, + (q31_t)0x74f09546, (q31_t)0xdc09520d, (q31_t)0x74e98487, (q31_t)0xdbfeedb3, + (q31_t)0x74e271bd, (q31_t)0xdbf48abd, (q31_t)0x74db5cea, (q31_t)0xdbea292b, + (q31_t)0x74d4460c, (q31_t)0xdbdfc8fc, (q31_t)0x74cd2d26, (q31_t)0xdbd56a32, + (q31_t)0x74c61236, (q31_t)0xdbcb0cce, (q31_t)0x74bef53d, (q31_t)0xdbc0b0ce, + (q31_t)0x74b7d63c, (q31_t)0xdbb65634, (q31_t)0x74b0b533, (q31_t)0xdbabfd01, + (q31_t)0x74a99221, (q31_t)0xdba1a534, (q31_t)0x74a26d08, (q31_t)0xdb974ece, + (q31_t)0x749b45e7, (q31_t)0xdb8cf9cf, (q31_t)0x74941cbf, (q31_t)0xdb82a638, + (q31_t)0x748cf190, (q31_t)0xdb785409, (q31_t)0x7485c45b, (q31_t)0xdb6e0342, + (q31_t)0x747e951f, (q31_t)0xdb63b3e5, (q31_t)0x747763dd, (q31_t)0xdb5965f1, + (q31_t)0x74703095, (q31_t)0xdb4f1967, (q31_t)0x7468fb47, (q31_t)0xdb44ce46, + (q31_t)0x7461c3f5, (q31_t)0xdb3a8491, (q31_t)0x745a8a9d, (q31_t)0xdb303c46, + (q31_t)0x74534f41, (q31_t)0xdb25f566, (q31_t)0x744c11e0, (q31_t)0xdb1baff2, + (q31_t)0x7444d27b, (q31_t)0xdb116beb, (q31_t)0x743d9112, (q31_t)0xdb072950, + (q31_t)0x74364da6, (q31_t)0xdafce821, (q31_t)0x742f0836, (q31_t)0xdaf2a860, + (q31_t)0x7427c0c3, (q31_t)0xdae86a0d, (q31_t)0x7420774d, (q31_t)0xdade2d28, + (q31_t)0x74192bd5, (q31_t)0xdad3f1b1, (q31_t)0x7411de5b, (q31_t)0xdac9b7a9, + (q31_t)0x740a8edf, (q31_t)0xdabf7f11, (q31_t)0x74033d61, (q31_t)0xdab547e8, + (q31_t)0x73fbe9e2, (q31_t)0xdaab122f, (q31_t)0x73f49462, (q31_t)0xdaa0dde7, + (q31_t)0x73ed3ce1, (q31_t)0xda96ab0f, (q31_t)0x73e5e360, (q31_t)0xda8c79a9, + (q31_t)0x73de87de, (q31_t)0xda8249b4, (q31_t)0x73d72a5d, (q31_t)0xda781b31, + (q31_t)0x73cfcadc, (q31_t)0xda6dee21, (q31_t)0x73c8695b, (q31_t)0xda63c284, + (q31_t)0x73c105db, (q31_t)0xda599859, (q31_t)0x73b9a05d, (q31_t)0xda4f6fa3, + (q31_t)0x73b238e0, (q31_t)0xda454860, (q31_t)0x73aacf65, (q31_t)0xda3b2292, + (q31_t)0x73a363ec, (q31_t)0xda30fe38, (q31_t)0x739bf675, (q31_t)0xda26db54, + (q31_t)0x73948701, (q31_t)0xda1cb9e5, (q31_t)0x738d1590, (q31_t)0xda1299ec, + (q31_t)0x7385a222, (q31_t)0xda087b69, (q31_t)0x737e2cb7, (q31_t)0xd9fe5e5e, + (q31_t)0x7376b551, (q31_t)0xd9f442c9, (q31_t)0x736f3bee, (q31_t)0xd9ea28ac, + (q31_t)0x7367c090, (q31_t)0xd9e01006, (q31_t)0x73604336, (q31_t)0xd9d5f8d9, + (q31_t)0x7358c3e2, (q31_t)0xd9cbe325, (q31_t)0x73514292, (q31_t)0xd9c1cee9, + (q31_t)0x7349bf48, (q31_t)0xd9b7bc27, (q31_t)0x73423a04, (q31_t)0xd9adaadf, + (q31_t)0x733ab2c6, (q31_t)0xd9a39b11, (q31_t)0x7333298f, (q31_t)0xd9998cbe, + (q31_t)0x732b9e5e, (q31_t)0xd98f7fe6, (q31_t)0x73241134, (q31_t)0xd9857489, + (q31_t)0x731c8211, (q31_t)0xd97b6aa8, (q31_t)0x7314f0f6, (q31_t)0xd9716243, + (q31_t)0x730d5de3, (q31_t)0xd9675b5a, (q31_t)0x7305c8d7, (q31_t)0xd95d55ef, + (q31_t)0x72fe31d5, (q31_t)0xd9535201, (q31_t)0x72f698db, (q31_t)0xd9494f90, + (q31_t)0x72eefdea, (q31_t)0xd93f4e9e, (q31_t)0x72e76102, (q31_t)0xd9354f2a, + (q31_t)0x72dfc224, (q31_t)0xd92b5135, (q31_t)0x72d82150, (q31_t)0xd92154bf, + (q31_t)0x72d07e85, (q31_t)0xd91759c9, (q31_t)0x72c8d9c6, (q31_t)0xd90d6053, + (q31_t)0x72c13311, (q31_t)0xd903685d, (q31_t)0x72b98a67, (q31_t)0xd8f971e8, + (q31_t)0x72b1dfc9, (q31_t)0xd8ef7cf4, (q31_t)0x72aa3336, (q31_t)0xd8e58982, + (q31_t)0x72a284b0, (q31_t)0xd8db9792, (q31_t)0x729ad435, (q31_t)0xd8d1a724, + (q31_t)0x729321c7, (q31_t)0xd8c7b838, (q31_t)0x728b6d66, (q31_t)0xd8bdcad0, + (q31_t)0x7283b712, (q31_t)0xd8b3deeb, (q31_t)0x727bfecc, (q31_t)0xd8a9f48a, + (q31_t)0x72744493, (q31_t)0xd8a00bae, (q31_t)0x726c8868, (q31_t)0xd8962456, + (q31_t)0x7264ca4c, (q31_t)0xd88c3e83, (q31_t)0x725d0a3e, (q31_t)0xd8825a35, + (q31_t)0x72554840, (q31_t)0xd878776d, (q31_t)0x724d8450, (q31_t)0xd86e962b, + (q31_t)0x7245be70, (q31_t)0xd864b670, (q31_t)0x723df6a0, (q31_t)0xd85ad83c, + (q31_t)0x72362ce0, (q31_t)0xd850fb8e, (q31_t)0x722e6130, (q31_t)0xd8472069, + (q31_t)0x72269391, (q31_t)0xd83d46cc, (q31_t)0x721ec403, (q31_t)0xd8336eb7, + (q31_t)0x7216f287, (q31_t)0xd829982b, (q31_t)0x720f1f1c, (q31_t)0xd81fc328, + (q31_t)0x720749c3, (q31_t)0xd815efae, (q31_t)0x71ff727c, (q31_t)0xd80c1dbf, + (q31_t)0x71f79948, (q31_t)0xd8024d59, (q31_t)0x71efbe27, (q31_t)0xd7f87e7f, + (q31_t)0x71e7e118, (q31_t)0xd7eeb130, (q31_t)0x71e0021e, (q31_t)0xd7e4e56c, + (q31_t)0x71d82137, (q31_t)0xd7db1b34, (q31_t)0x71d03e64, (q31_t)0xd7d15288, + (q31_t)0x71c859a5, (q31_t)0xd7c78b68, (q31_t)0x71c072fb, (q31_t)0xd7bdc5d6, + (q31_t)0x71b88a66, (q31_t)0xd7b401d1, (q31_t)0x71b09fe7, (q31_t)0xd7aa3f5a, + (q31_t)0x71a8b37c, (q31_t)0xd7a07e70, (q31_t)0x71a0c528, (q31_t)0xd796bf16, + (q31_t)0x7198d4ea, (q31_t)0xd78d014a, (q31_t)0x7190e2c3, (q31_t)0xd783450d, + (q31_t)0x7188eeb2, (q31_t)0xd7798a60, (q31_t)0x7180f8b8, (q31_t)0xd76fd143, + (q31_t)0x717900d6, (q31_t)0xd76619b6, (q31_t)0x7171070c, (q31_t)0xd75c63ba, + (q31_t)0x71690b59, (q31_t)0xd752af4f, (q31_t)0x71610dbf, (q31_t)0xd748fc75, + (q31_t)0x71590e3e, (q31_t)0xd73f4b2e, (q31_t)0x71510cd5, (q31_t)0xd7359b78, + (q31_t)0x71490986, (q31_t)0xd72bed55, (q31_t)0x71410450, (q31_t)0xd72240c5, + (q31_t)0x7138fd35, (q31_t)0xd71895c9, (q31_t)0x7130f433, (q31_t)0xd70eec60, + (q31_t)0x7128e94c, (q31_t)0xd705448b, (q31_t)0x7120dc80, (q31_t)0xd6fb9e4b, + (q31_t)0x7118cdcf, (q31_t)0xd6f1f99f, (q31_t)0x7110bd39, (q31_t)0xd6e85689, + (q31_t)0x7108aabf, (q31_t)0xd6deb508, (q31_t)0x71009661, (q31_t)0xd6d5151d, + (q31_t)0x70f8801f, (q31_t)0xd6cb76c9, (q31_t)0x70f067fb, (q31_t)0xd6c1da0b, + (q31_t)0x70e84df3, (q31_t)0xd6b83ee4, (q31_t)0x70e03208, (q31_t)0xd6aea555, + (q31_t)0x70d8143b, (q31_t)0xd6a50d5d, (q31_t)0x70cff48c, (q31_t)0xd69b76fe, + (q31_t)0x70c7d2fb, (q31_t)0xd691e237, (q31_t)0x70bfaf89, (q31_t)0xd6884f09, + (q31_t)0x70b78a36, (q31_t)0xd67ebd74, (q31_t)0x70af6302, (q31_t)0xd6752d79, + (q31_t)0x70a739ed, (q31_t)0xd66b9f18, (q31_t)0x709f0ef8, (q31_t)0xd6621251, + (q31_t)0x7096e223, (q31_t)0xd6588725, (q31_t)0x708eb36f, (q31_t)0xd64efd94, + (q31_t)0x708682dc, (q31_t)0xd645759f, (q31_t)0x707e5069, (q31_t)0xd63bef46, + (q31_t)0x70761c18, (q31_t)0xd6326a88, (q31_t)0x706de5e9, (q31_t)0xd628e767, + (q31_t)0x7065addb, (q31_t)0xd61f65e4, (q31_t)0x705d73f0, (q31_t)0xd615e5fd, + (q31_t)0x70553828, (q31_t)0xd60c67b4, (q31_t)0x704cfa83, (q31_t)0xd602eb0a, + (q31_t)0x7044bb00, (q31_t)0xd5f96ffd, (q31_t)0x703c79a2, (q31_t)0xd5eff690, + (q31_t)0x70343667, (q31_t)0xd5e67ec1, (q31_t)0x702bf151, (q31_t)0xd5dd0892, + (q31_t)0x7023aa5f, (q31_t)0xd5d39403, (q31_t)0x701b6193, (q31_t)0xd5ca2115, + (q31_t)0x701316eb, (q31_t)0xd5c0afc6, (q31_t)0x700aca69, (q31_t)0xd5b74019, + (q31_t)0x70027c0c, (q31_t)0xd5add20d, (q31_t)0x6ffa2bd6, (q31_t)0xd5a465a3, + (q31_t)0x6ff1d9c7, (q31_t)0xd59afadb, (q31_t)0x6fe985de, (q31_t)0xd59191b5, + (q31_t)0x6fe1301c, (q31_t)0xd5882a32, (q31_t)0x6fd8d882, (q31_t)0xd57ec452, + (q31_t)0x6fd07f0f, (q31_t)0xd5756016, (q31_t)0x6fc823c5, (q31_t)0xd56bfd7d, + (q31_t)0x6fbfc6a3, (q31_t)0xd5629c89, (q31_t)0x6fb767aa, (q31_t)0xd5593d3a, + (q31_t)0x6faf06da, (q31_t)0xd54fdf8f, (q31_t)0x6fa6a433, (q31_t)0xd5468389, + (q31_t)0x6f9e3fb6, (q31_t)0xd53d292a, (q31_t)0x6f95d963, (q31_t)0xd533d070, + (q31_t)0x6f8d713a, (q31_t)0xd52a795d, (q31_t)0x6f85073c, (q31_t)0xd52123f0, + (q31_t)0x6f7c9b69, (q31_t)0xd517d02b, (q31_t)0x6f742dc1, (q31_t)0xd50e7e0d, + (q31_t)0x6f6bbe45, (q31_t)0xd5052d97, (q31_t)0x6f634cf5, (q31_t)0xd4fbdec9, + (q31_t)0x6f5ad9d1, (q31_t)0xd4f291a4, (q31_t)0x6f5264da, (q31_t)0xd4e94627, + (q31_t)0x6f49ee0f, (q31_t)0xd4dffc54, (q31_t)0x6f417573, (q31_t)0xd4d6b42b, + (q31_t)0x6f38fb03, (q31_t)0xd4cd6dab, (q31_t)0x6f307ec2, (q31_t)0xd4c428d6, + (q31_t)0x6f2800af, (q31_t)0xd4bae5ab, (q31_t)0x6f1f80ca, (q31_t)0xd4b1a42c, + (q31_t)0x6f16ff14, (q31_t)0xd4a86458, (q31_t)0x6f0e7b8e, (q31_t)0xd49f2630, + (q31_t)0x6f05f637, (q31_t)0xd495e9b3, (q31_t)0x6efd6f10, (q31_t)0xd48caee4, + (q31_t)0x6ef4e619, (q31_t)0xd48375c1, (q31_t)0x6eec5b53, (q31_t)0xd47a3e4b, + (q31_t)0x6ee3cebe, (q31_t)0xd4710883, (q31_t)0x6edb405a, (q31_t)0xd467d469, + (q31_t)0x6ed2b027, (q31_t)0xd45ea1fd, (q31_t)0x6eca1e27, (q31_t)0xd4557140, + (q31_t)0x6ec18a58, (q31_t)0xd44c4232, (q31_t)0x6eb8f4bc, (q31_t)0xd44314d3, + (q31_t)0x6eb05d53, (q31_t)0xd439e923, (q31_t)0x6ea7c41e, (q31_t)0xd430bf24, + (q31_t)0x6e9f291b, (q31_t)0xd42796d5, (q31_t)0x6e968c4d, (q31_t)0xd41e7037, + (q31_t)0x6e8dedb3, (q31_t)0xd4154b4a, (q31_t)0x6e854d4d, (q31_t)0xd40c280e, + (q31_t)0x6e7cab1c, (q31_t)0xd4030684, (q31_t)0x6e740720, (q31_t)0xd3f9e6ad, + (q31_t)0x6e6b615a, (q31_t)0xd3f0c887, (q31_t)0x6e62b9ca, (q31_t)0xd3e7ac15, + (q31_t)0x6e5a1070, (q31_t)0xd3de9156, (q31_t)0x6e51654c, (q31_t)0xd3d5784a, + (q31_t)0x6e48b860, (q31_t)0xd3cc60f2, (q31_t)0x6e4009aa, (q31_t)0xd3c34b4f, + (q31_t)0x6e37592c, (q31_t)0xd3ba3760, (q31_t)0x6e2ea6e6, (q31_t)0xd3b12526, + (q31_t)0x6e25f2d8, (q31_t)0xd3a814a2, (q31_t)0x6e1d3d03, (q31_t)0xd39f05d3, + (q31_t)0x6e148566, (q31_t)0xd395f8ba, (q31_t)0x6e0bcc03, (q31_t)0xd38ced57, + (q31_t)0x6e0310d9, (q31_t)0xd383e3ab, (q31_t)0x6dfa53e9, (q31_t)0xd37adbb6, + (q31_t)0x6df19534, (q31_t)0xd371d579, (q31_t)0x6de8d4b8, (q31_t)0xd368d0f3, + (q31_t)0x6de01278, (q31_t)0xd35fce26, (q31_t)0x6dd74e73, (q31_t)0xd356cd11, + (q31_t)0x6dce88aa, (q31_t)0xd34dcdb4, (q31_t)0x6dc5c11c, (q31_t)0xd344d011, + (q31_t)0x6dbcf7cb, (q31_t)0xd33bd427, (q31_t)0x6db42cb6, (q31_t)0xd332d9f7, + (q31_t)0x6dab5fdf, (q31_t)0xd329e181, (q31_t)0x6da29144, (q31_t)0xd320eac6, + (q31_t)0x6d99c0e7, (q31_t)0xd317f5c6, (q31_t)0x6d90eec8, (q31_t)0xd30f0280, + (q31_t)0x6d881ae8, (q31_t)0xd30610f7, (q31_t)0x6d7f4545, (q31_t)0xd2fd2129, + (q31_t)0x6d766de2, (q31_t)0xd2f43318, (q31_t)0x6d6d94bf, (q31_t)0xd2eb46c3, + (q31_t)0x6d64b9da, (q31_t)0xd2e25c2b, (q31_t)0x6d5bdd36, (q31_t)0xd2d97350, + (q31_t)0x6d52fed2, (q31_t)0xd2d08c33, (q31_t)0x6d4a1eaf, (q31_t)0xd2c7a6d4, + (q31_t)0x6d413ccd, (q31_t)0xd2bec333, (q31_t)0x6d38592c, (q31_t)0xd2b5e151, + (q31_t)0x6d2f73cd, (q31_t)0xd2ad012e, (q31_t)0x6d268cb0, (q31_t)0xd2a422ca, + (q31_t)0x6d1da3d5, (q31_t)0xd29b4626, (q31_t)0x6d14b93d, (q31_t)0xd2926b41, + (q31_t)0x6d0bcce8, (q31_t)0xd289921e, (q31_t)0x6d02ded7, (q31_t)0xd280babb, + (q31_t)0x6cf9ef09, (q31_t)0xd277e518, (q31_t)0x6cf0fd80, (q31_t)0xd26f1138, + (q31_t)0x6ce80a3a, (q31_t)0xd2663f19, (q31_t)0x6cdf153a, (q31_t)0xd25d6ebc, + (q31_t)0x6cd61e7f, (q31_t)0xd254a021, (q31_t)0x6ccd2609, (q31_t)0xd24bd34a, + (q31_t)0x6cc42bd9, (q31_t)0xd2430835, (q31_t)0x6cbb2fef, (q31_t)0xd23a3ee4, + (q31_t)0x6cb2324c, (q31_t)0xd2317756, (q31_t)0x6ca932ef, (q31_t)0xd228b18d, + (q31_t)0x6ca031da, (q31_t)0xd21fed88, (q31_t)0x6c972f0d, (q31_t)0xd2172b48, + (q31_t)0x6c8e2a87, (q31_t)0xd20e6acc, (q31_t)0x6c85244a, (q31_t)0xd205ac17, + (q31_t)0x6c7c1c55, (q31_t)0xd1fcef27, (q31_t)0x6c7312a9, (q31_t)0xd1f433fd, + (q31_t)0x6c6a0746, (q31_t)0xd1eb7a9a, (q31_t)0x6c60fa2d, (q31_t)0xd1e2c2fd, + (q31_t)0x6c57eb5e, (q31_t)0xd1da0d28, (q31_t)0x6c4edada, (q31_t)0xd1d1591a, + (q31_t)0x6c45c8a0, (q31_t)0xd1c8a6d4, (q31_t)0x6c3cb4b1, (q31_t)0xd1bff656, + (q31_t)0x6c339f0e, (q31_t)0xd1b747a0, (q31_t)0x6c2a87b6, (q31_t)0xd1ae9ab4, + (q31_t)0x6c216eaa, (q31_t)0xd1a5ef90, (q31_t)0x6c1853eb, (q31_t)0xd19d4636, + (q31_t)0x6c0f3779, (q31_t)0xd1949ea6, (q31_t)0x6c061953, (q31_t)0xd18bf8e0, + (q31_t)0x6bfcf97c, (q31_t)0xd18354e4, (q31_t)0x6bf3d7f2, (q31_t)0xd17ab2b3, + (q31_t)0x6beab4b6, (q31_t)0xd172124d, (q31_t)0x6be18fc9, (q31_t)0xd16973b3, + (q31_t)0x6bd8692b, (q31_t)0xd160d6e5, (q31_t)0x6bcf40dc, (q31_t)0xd1583be2, + (q31_t)0x6bc616dd, (q31_t)0xd14fa2ad, (q31_t)0x6bbceb2d, (q31_t)0xd1470b44, + (q31_t)0x6bb3bdce, (q31_t)0xd13e75a8, (q31_t)0x6baa8ec0, (q31_t)0xd135e1d9, + (q31_t)0x6ba15e03, (q31_t)0xd12d4fd9, (q31_t)0x6b982b97, (q31_t)0xd124bfa6, + (q31_t)0x6b8ef77d, (q31_t)0xd11c3142, (q31_t)0x6b85c1b5, (q31_t)0xd113a4ad, + (q31_t)0x6b7c8a3f, (q31_t)0xd10b19e7, (q31_t)0x6b73511c, (q31_t)0xd10290f0, + (q31_t)0x6b6a164d, (q31_t)0xd0fa09c9, (q31_t)0x6b60d9d0, (q31_t)0xd0f18472, + (q31_t)0x6b579ba8, (q31_t)0xd0e900ec, (q31_t)0x6b4e5bd4, (q31_t)0xd0e07f36, + (q31_t)0x6b451a55, (q31_t)0xd0d7ff51, (q31_t)0x6b3bd72a, (q31_t)0xd0cf813e, + (q31_t)0x6b329255, (q31_t)0xd0c704fd, (q31_t)0x6b294bd5, (q31_t)0xd0be8a8d, + (q31_t)0x6b2003ac, (q31_t)0xd0b611f1, (q31_t)0x6b16b9d9, (q31_t)0xd0ad9b26, + (q31_t)0x6b0d6e5c, (q31_t)0xd0a5262f, (q31_t)0x6b042137, (q31_t)0xd09cb30b, + (q31_t)0x6afad269, (q31_t)0xd09441bb, (q31_t)0x6af181f3, (q31_t)0xd08bd23f, + (q31_t)0x6ae82fd5, (q31_t)0xd0836497, (q31_t)0x6adedc10, (q31_t)0xd07af8c4, + (q31_t)0x6ad586a3, (q31_t)0xd0728ec6, (q31_t)0x6acc2f90, (q31_t)0xd06a269d, + (q31_t)0x6ac2d6d6, (q31_t)0xd061c04a, (q31_t)0x6ab97c77, (q31_t)0xd0595bcd, + (q31_t)0x6ab02071, (q31_t)0xd050f926, (q31_t)0x6aa6c2c6, (q31_t)0xd0489856, + (q31_t)0x6a9d6377, (q31_t)0xd040395d, (q31_t)0x6a940283, (q31_t)0xd037dc3b, + (q31_t)0x6a8a9fea, (q31_t)0xd02f80f1, (q31_t)0x6a813bae, (q31_t)0xd027277e, + (q31_t)0x6a77d5ce, (q31_t)0xd01ecfe4, (q31_t)0x6a6e6e4b, (q31_t)0xd0167a22, + (q31_t)0x6a650525, (q31_t)0xd00e2639, (q31_t)0x6a5b9a5d, (q31_t)0xd005d42a, + (q31_t)0x6a522df3, (q31_t)0xcffd83f4, (q31_t)0x6a48bfe7, (q31_t)0xcff53597, + (q31_t)0x6a3f503a, (q31_t)0xcfece915, (q31_t)0x6a35deeb, (q31_t)0xcfe49e6d, + (q31_t)0x6a2c6bfd, (q31_t)0xcfdc55a1, (q31_t)0x6a22f76e, (q31_t)0xcfd40eaf, + (q31_t)0x6a19813f, (q31_t)0xcfcbc999, (q31_t)0x6a100970, (q31_t)0xcfc3865e, + (q31_t)0x6a069003, (q31_t)0xcfbb4500, (q31_t)0x69fd14f6, (q31_t)0xcfb3057d, + (q31_t)0x69f3984c, (q31_t)0xcfaac7d8, (q31_t)0x69ea1a03, (q31_t)0xcfa28c10, + (q31_t)0x69e09a1c, (q31_t)0xcf9a5225, (q31_t)0x69d71899, (q31_t)0xcf921a17, + (q31_t)0x69cd9578, (q31_t)0xcf89e3e8, (q31_t)0x69c410ba, (q31_t)0xcf81af97, + (q31_t)0x69ba8a61, (q31_t)0xcf797d24, (q31_t)0x69b1026c, (q31_t)0xcf714c91, + (q31_t)0x69a778db, (q31_t)0xcf691ddd, (q31_t)0x699dedaf, (q31_t)0xcf60f108, + (q31_t)0x699460e8, (q31_t)0xcf58c613, (q31_t)0x698ad287, (q31_t)0xcf509cfe, + (q31_t)0x6981428c, (q31_t)0xcf4875ca, (q31_t)0x6977b0f7, (q31_t)0xcf405077, + (q31_t)0x696e1dc9, (q31_t)0xcf382d05, (q31_t)0x69648902, (q31_t)0xcf300b74, + (q31_t)0x695af2a3, (q31_t)0xcf27ebc5, (q31_t)0x69515aab, (q31_t)0xcf1fcdf8, + (q31_t)0x6947c11c, (q31_t)0xcf17b20d, (q31_t)0x693e25f5, (q31_t)0xcf0f9805, + (q31_t)0x69348937, (q31_t)0xcf077fe1, (q31_t)0x692aeae3, (q31_t)0xceff699f, + (q31_t)0x69214af8, (q31_t)0xcef75541, (q31_t)0x6917a977, (q31_t)0xceef42c7, + (q31_t)0x690e0661, (q31_t)0xcee73231, (q31_t)0x690461b5, (q31_t)0xcedf2380, + (q31_t)0x68fabb75, (q31_t)0xced716b4, (q31_t)0x68f113a0, (q31_t)0xcecf0bcd, + (q31_t)0x68e76a37, (q31_t)0xcec702cb, (q31_t)0x68ddbf3b, (q31_t)0xcebefbb0, + (q31_t)0x68d412ab, (q31_t)0xceb6f67a, (q31_t)0x68ca6488, (q31_t)0xceaef32b, + (q31_t)0x68c0b4d2, (q31_t)0xcea6f1c2, (q31_t)0x68b7038b, (q31_t)0xce9ef241, + (q31_t)0x68ad50b1, (q31_t)0xce96f4a7, (q31_t)0x68a39c46, (q31_t)0xce8ef8f4, + (q31_t)0x6899e64a, (q31_t)0xce86ff2a, (q31_t)0x68902ebd, (q31_t)0xce7f0748, + (q31_t)0x688675a0, (q31_t)0xce77114e, (q31_t)0x687cbaf3, (q31_t)0xce6f1d3d, + (q31_t)0x6872feb6, (q31_t)0xce672b16, (q31_t)0x686940ea, (q31_t)0xce5f3ad8, + (q31_t)0x685f8190, (q31_t)0xce574c84, (q31_t)0x6855c0a6, (q31_t)0xce4f6019, + (q31_t)0x684bfe2f, (q31_t)0xce47759a, (q31_t)0x68423a2a, (q31_t)0xce3f8d05, + (q31_t)0x68387498, (q31_t)0xce37a65b, (q31_t)0x682ead78, (q31_t)0xce2fc19c, + (q31_t)0x6824e4cc, (q31_t)0xce27dec9, (q31_t)0x681b1a94, (q31_t)0xce1ffde2, + (q31_t)0x68114ed0, (q31_t)0xce181ee8, (q31_t)0x68078181, (q31_t)0xce1041d9, + (q31_t)0x67fdb2a7, (q31_t)0xce0866b8, (q31_t)0x67f3e241, (q31_t)0xce008d84, + (q31_t)0x67ea1052, (q31_t)0xcdf8b63d, (q31_t)0x67e03cd8, (q31_t)0xcdf0e0e4, + (q31_t)0x67d667d5, (q31_t)0xcde90d79, (q31_t)0x67cc9149, (q31_t)0xcde13bfd, + (q31_t)0x67c2b934, (q31_t)0xcdd96c6f, (q31_t)0x67b8df97, (q31_t)0xcdd19ed0, + (q31_t)0x67af0472, (q31_t)0xcdc9d320, (q31_t)0x67a527c4, (q31_t)0xcdc20960, + (q31_t)0x679b4990, (q31_t)0xcdba4190, (q31_t)0x679169d5, (q31_t)0xcdb27bb0, + (q31_t)0x67878893, (q31_t)0xcdaab7c0, (q31_t)0x677da5cb, (q31_t)0xcda2f5c2, + (q31_t)0x6773c17d, (q31_t)0xcd9b35b4, (q31_t)0x6769dbaa, (q31_t)0xcd937798, + (q31_t)0x675ff452, (q31_t)0xcd8bbb6d, (q31_t)0x67560b76, (q31_t)0xcd840134, + (q31_t)0x674c2115, (q31_t)0xcd7c48ee, (q31_t)0x67423530, (q31_t)0xcd74929a, + (q31_t)0x673847c8, (q31_t)0xcd6cde39, (q31_t)0x672e58dc, (q31_t)0xcd652bcb, + (q31_t)0x6724686e, (q31_t)0xcd5d7b50, (q31_t)0x671a767e, (q31_t)0xcd55ccca, + (q31_t)0x6710830c, (q31_t)0xcd4e2037, (q31_t)0x67068e18, (q31_t)0xcd467599, + (q31_t)0x66fc97a3, (q31_t)0xcd3eccef, (q31_t)0x66f29fad, (q31_t)0xcd37263a, + (q31_t)0x66e8a637, (q31_t)0xcd2f817b, (q31_t)0x66deab41, (q31_t)0xcd27deb0, + (q31_t)0x66d4aecb, (q31_t)0xcd203ddc, (q31_t)0x66cab0d6, (q31_t)0xcd189efe, + (q31_t)0x66c0b162, (q31_t)0xcd110216, (q31_t)0x66b6b070, (q31_t)0xcd096725, + (q31_t)0x66acadff, (q31_t)0xcd01ce2b, (q31_t)0x66a2aa11, (q31_t)0xccfa3729, + (q31_t)0x6698a4a6, (q31_t)0xccf2a21d, (q31_t)0x668e9dbd, (q31_t)0xcceb0f0a, + (q31_t)0x66849558, (q31_t)0xcce37def, (q31_t)0x667a8b77, (q31_t)0xccdbeecc, + (q31_t)0x6670801a, (q31_t)0xccd461a2, (q31_t)0x66667342, (q31_t)0xccccd671, + (q31_t)0x665c64ef, (q31_t)0xccc54d3a, (q31_t)0x66525521, (q31_t)0xccbdc5fc, + (q31_t)0x664843d9, (q31_t)0xccb640b8, (q31_t)0x663e3117, (q31_t)0xccaebd6e, + (q31_t)0x66341cdb, (q31_t)0xcca73c1e, (q31_t)0x662a0727, (q31_t)0xcc9fbcca, + (q31_t)0x661feffa, (q31_t)0xcc983f70, (q31_t)0x6615d754, (q31_t)0xcc90c412, + (q31_t)0x660bbd37, (q31_t)0xcc894aaf, (q31_t)0x6601a1a2, (q31_t)0xcc81d349, + (q31_t)0x65f78497, (q31_t)0xcc7a5dde, (q31_t)0x65ed6614, (q31_t)0xcc72ea70, + (q31_t)0x65e3461b, (q31_t)0xcc6b78ff, (q31_t)0x65d924ac, (q31_t)0xcc64098b, + (q31_t)0x65cf01c8, (q31_t)0xcc5c9c14, (q31_t)0x65c4dd6e, (q31_t)0xcc55309b, + (q31_t)0x65bab7a0, (q31_t)0xcc4dc720, (q31_t)0x65b0905d, (q31_t)0xcc465fa3, + (q31_t)0x65a667a7, (q31_t)0xcc3efa25, (q31_t)0x659c3d7c, (q31_t)0xcc3796a5, + (q31_t)0x659211df, (q31_t)0xcc303524, (q31_t)0x6587e4cf, (q31_t)0xcc28d5a3, + (q31_t)0x657db64c, (q31_t)0xcc217822, (q31_t)0x65738657, (q31_t)0xcc1a1ca0, + (q31_t)0x656954f1, (q31_t)0xcc12c31f, (q31_t)0x655f2219, (q31_t)0xcc0b6b9e, + (q31_t)0x6554edd1, (q31_t)0xcc04161e, (q31_t)0x654ab818, (q31_t)0xcbfcc29f, + (q31_t)0x654080ef, (q31_t)0xcbf57121, (q31_t)0x65364857, (q31_t)0xcbee21a5, + (q31_t)0x652c0e4f, (q31_t)0xcbe6d42b, (q31_t)0x6521d2d8, (q31_t)0xcbdf88b3, + (q31_t)0x651795f3, (q31_t)0xcbd83f3d, (q31_t)0x650d57a0, (q31_t)0xcbd0f7ca, + (q31_t)0x650317df, (q31_t)0xcbc9b25a, (q31_t)0x64f8d6b0, (q31_t)0xcbc26eee, + (q31_t)0x64ee9415, (q31_t)0xcbbb2d85, (q31_t)0x64e4500e, (q31_t)0xcbb3ee20, + (q31_t)0x64da0a9a, (q31_t)0xcbacb0bf, (q31_t)0x64cfc3ba, (q31_t)0xcba57563, + (q31_t)0x64c57b6f, (q31_t)0xcb9e3c0b, (q31_t)0x64bb31ba, (q31_t)0xcb9704b9, + (q31_t)0x64b0e699, (q31_t)0xcb8fcf6b, (q31_t)0x64a69a0f, (q31_t)0xcb889c23, + (q31_t)0x649c4c1b, (q31_t)0xcb816ae1, (q31_t)0x6491fcbe, (q31_t)0xcb7a3ba5, + (q31_t)0x6487abf7, (q31_t)0xcb730e70, (q31_t)0x647d59c8, (q31_t)0xcb6be341, + (q31_t)0x64730631, (q31_t)0xcb64ba19, (q31_t)0x6468b132, (q31_t)0xcb5d92f8, + (q31_t)0x645e5acc, (q31_t)0xcb566ddf, (q31_t)0x645402ff, (q31_t)0xcb4f4acd, + (q31_t)0x6449a9cc, (q31_t)0xcb4829c4, (q31_t)0x643f4f32, (q31_t)0xcb410ac3, + (q31_t)0x6434f332, (q31_t)0xcb39edca, (q31_t)0x642a95ce, (q31_t)0xcb32d2da, + (q31_t)0x64203704, (q31_t)0xcb2bb9f4, (q31_t)0x6415d6d5, (q31_t)0xcb24a316, + (q31_t)0x640b7543, (q31_t)0xcb1d8e43, (q31_t)0x6401124d, (q31_t)0xcb167b79, + (q31_t)0x63f6adf3, (q31_t)0xcb0f6aba, (q31_t)0x63ec4837, (q31_t)0xcb085c05, + (q31_t)0x63e1e117, (q31_t)0xcb014f5b, (q31_t)0x63d77896, (q31_t)0xcafa44bc, + (q31_t)0x63cd0eb3, (q31_t)0xcaf33c28, (q31_t)0x63c2a36f, (q31_t)0xcaec35a0, + (q31_t)0x63b836ca, (q31_t)0xcae53123, (q31_t)0x63adc8c4, (q31_t)0xcade2eb3, + (q31_t)0x63a3595e, (q31_t)0xcad72e4f, (q31_t)0x6398e898, (q31_t)0xcad02ff8, + (q31_t)0x638e7673, (q31_t)0xcac933ae, (q31_t)0x638402ef, (q31_t)0xcac23971, + (q31_t)0x63798e0d, (q31_t)0xcabb4141, (q31_t)0x636f17cc, (q31_t)0xcab44b1f, + (q31_t)0x6364a02e, (q31_t)0xcaad570c, (q31_t)0x635a2733, (q31_t)0xcaa66506, + (q31_t)0x634facda, (q31_t)0xca9f750f, (q31_t)0x63453125, (q31_t)0xca988727, + (q31_t)0x633ab414, (q31_t)0xca919b4e, (q31_t)0x633035a7, (q31_t)0xca8ab184, + (q31_t)0x6325b5df, (q31_t)0xca83c9ca, (q31_t)0x631b34bc, (q31_t)0xca7ce420, + (q31_t)0x6310b23e, (q31_t)0xca760086, (q31_t)0x63062e67, (q31_t)0xca6f1efc, + (q31_t)0x62fba936, (q31_t)0xca683f83, (q31_t)0x62f122ab, (q31_t)0xca61621b, + (q31_t)0x62e69ac8, (q31_t)0xca5a86c4, (q31_t)0x62dc118c, (q31_t)0xca53ad7e, + (q31_t)0x62d186f8, (q31_t)0xca4cd64b, (q31_t)0x62c6fb0c, (q31_t)0xca460129, + (q31_t)0x62bc6dca, (q31_t)0xca3f2e19, (q31_t)0x62b1df30, (q31_t)0xca385d1d, + (q31_t)0x62a74f40, (q31_t)0xca318e32, (q31_t)0x629cbdfa, (q31_t)0xca2ac15b, + (q31_t)0x62922b5e, (q31_t)0xca23f698, (q31_t)0x6287976e, (q31_t)0xca1d2de7, + (q31_t)0x627d0228, (q31_t)0xca16674b, (q31_t)0x62726b8e, (q31_t)0xca0fa2c3, + (q31_t)0x6267d3a0, (q31_t)0xca08e04f, (q31_t)0x625d3a5e, (q31_t)0xca021fef, + (q31_t)0x62529fca, (q31_t)0xc9fb61a5, (q31_t)0x624803e2, (q31_t)0xc9f4a570, + (q31_t)0x623d66a8, (q31_t)0xc9edeb50, (q31_t)0x6232c81c, (q31_t)0xc9e73346, + (q31_t)0x6228283f, (q31_t)0xc9e07d51, (q31_t)0x621d8711, (q31_t)0xc9d9c973, + (q31_t)0x6212e492, (q31_t)0xc9d317ab, (q31_t)0x620840c2, (q31_t)0xc9cc67fa, + (q31_t)0x61fd9ba3, (q31_t)0xc9c5ba60, (q31_t)0x61f2f534, (q31_t)0xc9bf0edd, + (q31_t)0x61e84d76, (q31_t)0xc9b86572, (q31_t)0x61dda46a, (q31_t)0xc9b1be1e, + (q31_t)0x61d2fa0f, (q31_t)0xc9ab18e3, (q31_t)0x61c84e67, (q31_t)0xc9a475bf, + (q31_t)0x61bda171, (q31_t)0xc99dd4b4, (q31_t)0x61b2f32e, (q31_t)0xc99735c2, + (q31_t)0x61a8439e, (q31_t)0xc99098e9, (q31_t)0x619d92c2, (q31_t)0xc989fe29, + (q31_t)0x6192e09b, (q31_t)0xc9836582, (q31_t)0x61882d28, (q31_t)0xc97ccef5, + (q31_t)0x617d786a, (q31_t)0xc9763a83, (q31_t)0x6172c262, (q31_t)0xc96fa82a, + (q31_t)0x61680b0f, (q31_t)0xc96917ec, (q31_t)0x615d5273, (q31_t)0xc96289c9, + (q31_t)0x6152988d, (q31_t)0xc95bfdc1, (q31_t)0x6147dd5f, (q31_t)0xc95573d4, + (q31_t)0x613d20e8, (q31_t)0xc94eec03, (q31_t)0x61326329, (q31_t)0xc948664d, + (q31_t)0x6127a423, (q31_t)0xc941e2b4, (q31_t)0x611ce3d5, (q31_t)0xc93b6137, + (q31_t)0x61122240, (q31_t)0xc934e1d6, (q31_t)0x61075f65, (q31_t)0xc92e6492, + (q31_t)0x60fc9b44, (q31_t)0xc927e96b, (q31_t)0x60f1d5de, (q31_t)0xc9217062, + (q31_t)0x60e70f32, (q31_t)0xc91af976, (q31_t)0x60dc4742, (q31_t)0xc91484a8, + (q31_t)0x60d17e0d, (q31_t)0xc90e11f7, (q31_t)0x60c6b395, (q31_t)0xc907a166, + (q31_t)0x60bbe7d8, (q31_t)0xc90132f2, (q31_t)0x60b11ad9, (q31_t)0xc8fac69e, + (q31_t)0x60a64c97, (q31_t)0xc8f45c68, (q31_t)0x609b7d13, (q31_t)0xc8edf452, + (q31_t)0x6090ac4d, (q31_t)0xc8e78e5b, (q31_t)0x6085da46, (q31_t)0xc8e12a84, + (q31_t)0x607b06fe, (q31_t)0xc8dac8cd, (q31_t)0x60703275, (q31_t)0xc8d46936, + (q31_t)0x60655cac, (q31_t)0xc8ce0bc0, (q31_t)0x605a85a3, (q31_t)0xc8c7b06b, + (q31_t)0x604fad5b, (q31_t)0xc8c15736, (q31_t)0x6044d3d4, (q31_t)0xc8bb0023, + (q31_t)0x6039f90f, (q31_t)0xc8b4ab32, (q31_t)0x602f1d0b, (q31_t)0xc8ae5862, + (q31_t)0x60243fca, (q31_t)0xc8a807b4, (q31_t)0x6019614c, (q31_t)0xc8a1b928, + (q31_t)0x600e8190, (q31_t)0xc89b6cbf, (q31_t)0x6003a099, (q31_t)0xc8952278, + (q31_t)0x5ff8be65, (q31_t)0xc88eda54, (q31_t)0x5feddaf6, (q31_t)0xc8889454, + (q31_t)0x5fe2f64c, (q31_t)0xc8825077, (q31_t)0x5fd81067, (q31_t)0xc87c0ebd, + (q31_t)0x5fcd2948, (q31_t)0xc875cf28, (q31_t)0x5fc240ef, (q31_t)0xc86f91b7, + (q31_t)0x5fb7575c, (q31_t)0xc869566a, (q31_t)0x5fac6c91, (q31_t)0xc8631d42, + (q31_t)0x5fa1808c, (q31_t)0xc85ce63e, (q31_t)0x5f969350, (q31_t)0xc856b160, + (q31_t)0x5f8ba4dc, (q31_t)0xc8507ea7, (q31_t)0x5f80b531, (q31_t)0xc84a4e14, + (q31_t)0x5f75c44e, (q31_t)0xc8441fa6, (q31_t)0x5f6ad235, (q31_t)0xc83df35f, + (q31_t)0x5f5fdee6, (q31_t)0xc837c93e, (q31_t)0x5f54ea62, (q31_t)0xc831a143, + (q31_t)0x5f49f4a8, (q31_t)0xc82b7b70, (q31_t)0x5f3efdb9, (q31_t)0xc82557c3, + (q31_t)0x5f340596, (q31_t)0xc81f363d, (q31_t)0x5f290c3f, (q31_t)0xc81916df, + (q31_t)0x5f1e11b5, (q31_t)0xc812f9a9, (q31_t)0x5f1315f7, (q31_t)0xc80cde9b, + (q31_t)0x5f081907, (q31_t)0xc806c5b5, (q31_t)0x5efd1ae4, (q31_t)0xc800aef7, + (q31_t)0x5ef21b90, (q31_t)0xc7fa9a62, (q31_t)0x5ee71b0a, (q31_t)0xc7f487f6, + (q31_t)0x5edc1953, (q31_t)0xc7ee77b3, (q31_t)0x5ed1166b, (q31_t)0xc7e8699a, + (q31_t)0x5ec61254, (q31_t)0xc7e25daa, (q31_t)0x5ebb0d0d, (q31_t)0xc7dc53e3, + (q31_t)0x5eb00696, (q31_t)0xc7d64c47, (q31_t)0x5ea4fef0, (q31_t)0xc7d046d6, + (q31_t)0x5e99f61d, (q31_t)0xc7ca438f, (q31_t)0x5e8eec1b, (q31_t)0xc7c44272, + (q31_t)0x5e83e0eb, (q31_t)0xc7be4381, (q31_t)0x5e78d48e, (q31_t)0xc7b846ba, + (q31_t)0x5e6dc705, (q31_t)0xc7b24c20, (q31_t)0x5e62b84f, (q31_t)0xc7ac53b1, + (q31_t)0x5e57a86d, (q31_t)0xc7a65d6e, (q31_t)0x5e4c9760, (q31_t)0xc7a06957, + (q31_t)0x5e418528, (q31_t)0xc79a776c, (q31_t)0x5e3671c5, (q31_t)0xc79487ae, + (q31_t)0x5e2b5d38, (q31_t)0xc78e9a1d, (q31_t)0x5e204781, (q31_t)0xc788aeb9, + (q31_t)0x5e1530a1, (q31_t)0xc782c582, (q31_t)0x5e0a1898, (q31_t)0xc77cde79, + (q31_t)0x5dfeff67, (q31_t)0xc776f99d, (q31_t)0x5df3e50d, (q31_t)0xc77116f0, + (q31_t)0x5de8c98c, (q31_t)0xc76b3671, (q31_t)0x5dddace4, (q31_t)0xc7655820, + (q31_t)0x5dd28f15, (q31_t)0xc75f7bfe, (q31_t)0x5dc7701f, (q31_t)0xc759a20a, + (q31_t)0x5dbc5004, (q31_t)0xc753ca46, (q31_t)0x5db12ec3, (q31_t)0xc74df4b1, + (q31_t)0x5da60c5d, (q31_t)0xc748214c, (q31_t)0x5d9ae8d2, (q31_t)0xc7425016, + (q31_t)0x5d8fc424, (q31_t)0xc73c8111, (q31_t)0x5d849e51, (q31_t)0xc736b43c, + (q31_t)0x5d79775c, (q31_t)0xc730e997, (q31_t)0x5d6e4f43, (q31_t)0xc72b2123, + (q31_t)0x5d632608, (q31_t)0xc7255ae0, (q31_t)0x5d57fbaa, (q31_t)0xc71f96ce, + (q31_t)0x5d4cd02c, (q31_t)0xc719d4ed, (q31_t)0x5d41a38c, (q31_t)0xc714153e, + (q31_t)0x5d3675cb, (q31_t)0xc70e57c0, (q31_t)0x5d2b46ea, (q31_t)0xc7089c75, + (q31_t)0x5d2016e9, (q31_t)0xc702e35c, (q31_t)0x5d14e5c9, (q31_t)0xc6fd2c75, + (q31_t)0x5d09b389, (q31_t)0xc6f777c1, (q31_t)0x5cfe802b, (q31_t)0xc6f1c540, + (q31_t)0x5cf34baf, (q31_t)0xc6ec14f2, (q31_t)0x5ce81615, (q31_t)0xc6e666d7, + (q31_t)0x5cdcdf5e, (q31_t)0xc6e0baf0, (q31_t)0x5cd1a78a, (q31_t)0xc6db113d, + (q31_t)0x5cc66e99, (q31_t)0xc6d569be, (q31_t)0x5cbb348d, (q31_t)0xc6cfc472, + (q31_t)0x5caff965, (q31_t)0xc6ca215c, (q31_t)0x5ca4bd21, (q31_t)0xc6c4807a, + (q31_t)0x5c997fc4, (q31_t)0xc6bee1cd, (q31_t)0x5c8e414b, (q31_t)0xc6b94554, + (q31_t)0x5c8301b9, (q31_t)0xc6b3ab12, (q31_t)0x5c77c10e, (q31_t)0xc6ae1304, + (q31_t)0x5c6c7f4a, (q31_t)0xc6a87d2d, (q31_t)0x5c613c6d, (q31_t)0xc6a2e98b, + (q31_t)0x5c55f878, (q31_t)0xc69d5820, (q31_t)0x5c4ab36b, (q31_t)0xc697c8eb, + (q31_t)0x5c3f6d47, (q31_t)0xc6923bec, (q31_t)0x5c34260c, (q31_t)0xc68cb124, + (q31_t)0x5c28ddbb, (q31_t)0xc6872894, (q31_t)0x5c1d9454, (q31_t)0xc681a23a, + (q31_t)0x5c1249d8, (q31_t)0xc67c1e18, (q31_t)0x5c06fe46, (q31_t)0xc6769c2e, + (q31_t)0x5bfbb1a0, (q31_t)0xc6711c7b, (q31_t)0x5bf063e6, (q31_t)0xc66b9f01, + (q31_t)0x5be51518, (q31_t)0xc66623be, (q31_t)0x5bd9c537, (q31_t)0xc660aab5, + (q31_t)0x5bce7442, (q31_t)0xc65b33e4, (q31_t)0x5bc3223c, (q31_t)0xc655bf4c, + (q31_t)0x5bb7cf23, (q31_t)0xc6504ced, (q31_t)0x5bac7af9, (q31_t)0xc64adcc7, + (q31_t)0x5ba125bd, (q31_t)0xc6456edb, (q31_t)0x5b95cf71, (q31_t)0xc6400329, + (q31_t)0x5b8a7815, (q31_t)0xc63a99b1, (q31_t)0x5b7f1fa9, (q31_t)0xc6353273, + (q31_t)0x5b73c62d, (q31_t)0xc62fcd6f, (q31_t)0x5b686ba3, (q31_t)0xc62a6aa6, + (q31_t)0x5b5d100a, (q31_t)0xc6250a18, (q31_t)0x5b51b363, (q31_t)0xc61fabc4, + (q31_t)0x5b4655ae, (q31_t)0xc61a4fac, (q31_t)0x5b3af6ec, (q31_t)0xc614f5cf, + (q31_t)0x5b2f971e, (q31_t)0xc60f9e2e, (q31_t)0x5b243643, (q31_t)0xc60a48c9, + (q31_t)0x5b18d45c, (q31_t)0xc604f5a0, (q31_t)0x5b0d716a, (q31_t)0xc5ffa4b3, + (q31_t)0x5b020d6c, (q31_t)0xc5fa5603, (q31_t)0x5af6a865, (q31_t)0xc5f5098f, + (q31_t)0x5aeb4253, (q31_t)0xc5efbf58, (q31_t)0x5adfdb37, (q31_t)0xc5ea775e, + (q31_t)0x5ad47312, (q31_t)0xc5e531a1, (q31_t)0x5ac909e5, (q31_t)0xc5dfee22, + (q31_t)0x5abd9faf, (q31_t)0xc5daace1, (q31_t)0x5ab23471, (q31_t)0xc5d56ddd, + (q31_t)0x5aa6c82b, (q31_t)0xc5d03118, (q31_t)0x5a9b5adf, (q31_t)0xc5caf690, + (q31_t)0x5a8fec8c, (q31_t)0xc5c5be47, (q31_t)0x5a847d33, (q31_t)0xc5c0883d, + (q31_t)0x5a790cd4, (q31_t)0xc5bb5472, (q31_t)0x5a6d9b70, (q31_t)0xc5b622e6, + (q31_t)0x5a622907, (q31_t)0xc5b0f399, (q31_t)0x5a56b599, (q31_t)0xc5abc68c, + (q31_t)0x5a4b4128, (q31_t)0xc5a69bbe, (q31_t)0x5a3fcbb3, (q31_t)0xc5a17330, + (q31_t)0x5a34553b, (q31_t)0xc59c4ce3, (q31_t)0x5a28ddc0, (q31_t)0xc59728d5, + (q31_t)0x5a1d6544, (q31_t)0xc5920708, (q31_t)0x5a11ebc5, (q31_t)0xc58ce77c, + (q31_t)0x5a067145, (q31_t)0xc587ca31, (q31_t)0x59faf5c5, (q31_t)0xc582af26, + (q31_t)0x59ef7944, (q31_t)0xc57d965d, (q31_t)0x59e3fbc3, (q31_t)0xc5787fd6, + (q31_t)0x59d87d42, (q31_t)0xc5736b90, (q31_t)0x59ccfdc2, (q31_t)0xc56e598c, + (q31_t)0x59c17d44, (q31_t)0xc56949ca, (q31_t)0x59b5fbc8, (q31_t)0xc5643c4a, + (q31_t)0x59aa794d, (q31_t)0xc55f310d, (q31_t)0x599ef5d6, (q31_t)0xc55a2812, + (q31_t)0x59937161, (q31_t)0xc555215a, (q31_t)0x5987ebf0, (q31_t)0xc5501ce5, + (q31_t)0x597c6584, (q31_t)0xc54b1ab4, (q31_t)0x5970de1b, (q31_t)0xc5461ac6, + (q31_t)0x596555b8, (q31_t)0xc5411d1b, (q31_t)0x5959cc5a, (q31_t)0xc53c21b4, + (q31_t)0x594e4201, (q31_t)0xc5372891, (q31_t)0x5942b6af, (q31_t)0xc53231b3, + (q31_t)0x59372a64, (q31_t)0xc52d3d18, (q31_t)0x592b9d1f, (q31_t)0xc5284ac3, + (q31_t)0x59200ee3, (q31_t)0xc5235ab2, (q31_t)0x59147fae, (q31_t)0xc51e6ce6, + (q31_t)0x5908ef82, (q31_t)0xc519815f, (q31_t)0x58fd5e5f, (q31_t)0xc514981d, + (q31_t)0x58f1cc45, (q31_t)0xc50fb121, (q31_t)0x58e63935, (q31_t)0xc50acc6b, + (q31_t)0x58daa52f, (q31_t)0xc505e9fb, (q31_t)0x58cf1034, (q31_t)0xc50109d0, + (q31_t)0x58c37a44, (q31_t)0xc4fc2bec, (q31_t)0x58b7e35f, (q31_t)0xc4f7504e, + (q31_t)0x58ac4b87, (q31_t)0xc4f276f7, (q31_t)0x58a0b2bb, (q31_t)0xc4ed9fe7, + (q31_t)0x589518fc, (q31_t)0xc4e8cb1e, (q31_t)0x58897e4a, (q31_t)0xc4e3f89c, + (q31_t)0x587de2a7, (q31_t)0xc4df2862, (q31_t)0x58724611, (q31_t)0xc4da5a6f, + (q31_t)0x5866a88a, (q31_t)0xc4d58ec3, (q31_t)0x585b0a13, (q31_t)0xc4d0c560, + (q31_t)0x584f6aab, (q31_t)0xc4cbfe45, (q31_t)0x5843ca53, (q31_t)0xc4c73972, + (q31_t)0x5838290c, (q31_t)0xc4c276e8, (q31_t)0x582c86d5, (q31_t)0xc4bdb6a6, + (q31_t)0x5820e3b0, (q31_t)0xc4b8f8ad, (q31_t)0x58153f9d, (q31_t)0xc4b43cfd, + (q31_t)0x58099a9c, (q31_t)0xc4af8397, (q31_t)0x57fdf4ae, (q31_t)0xc4aacc7a, + (q31_t)0x57f24dd3, (q31_t)0xc4a617a6, (q31_t)0x57e6a60c, (q31_t)0xc4a1651c, + (q31_t)0x57dafd59, (q31_t)0xc49cb4dd, (q31_t)0x57cf53bb, (q31_t)0xc49806e7, + (q31_t)0x57c3a931, (q31_t)0xc4935b3c, (q31_t)0x57b7fdbd, (q31_t)0xc48eb1db, + (q31_t)0x57ac515f, (q31_t)0xc48a0ac4, (q31_t)0x57a0a417, (q31_t)0xc48565f9, + (q31_t)0x5794f5e6, (q31_t)0xc480c379, (q31_t)0x578946cc, (q31_t)0xc47c2344, + (q31_t)0x577d96ca, (q31_t)0xc477855a, (q31_t)0x5771e5e0, (q31_t)0xc472e9bc, + (q31_t)0x5766340f, (q31_t)0xc46e5069, (q31_t)0x575a8157, (q31_t)0xc469b963, + (q31_t)0x574ecdb8, (q31_t)0xc46524a9, (q31_t)0x57431933, (q31_t)0xc460923b, + (q31_t)0x573763c9, (q31_t)0xc45c0219, (q31_t)0x572bad7a, (q31_t)0xc4577444, + (q31_t)0x571ff646, (q31_t)0xc452e8bc, (q31_t)0x57143e2d, (q31_t)0xc44e5f80, + (q31_t)0x57088531, (q31_t)0xc449d892, (q31_t)0x56fccb51, (q31_t)0xc44553f2, + (q31_t)0x56f1108f, (q31_t)0xc440d19e, (q31_t)0x56e554ea, (q31_t)0xc43c5199, + (q31_t)0x56d99864, (q31_t)0xc437d3e1, (q31_t)0x56cddafb, (q31_t)0xc4335877, + (q31_t)0x56c21cb2, (q31_t)0xc42edf5c, (q31_t)0x56b65d88, (q31_t)0xc42a688f, + (q31_t)0x56aa9d7e, (q31_t)0xc425f410, (q31_t)0x569edc94, (q31_t)0xc42181e0, + (q31_t)0x56931acb, (q31_t)0xc41d11ff, (q31_t)0x56875823, (q31_t)0xc418a46d, + (q31_t)0x567b949d, (q31_t)0xc414392b, (q31_t)0x566fd039, (q31_t)0xc40fd037, + (q31_t)0x56640af7, (q31_t)0xc40b6994, (q31_t)0x565844d8, (q31_t)0xc4070540, + (q31_t)0x564c7ddd, (q31_t)0xc402a33c, (q31_t)0x5640b606, (q31_t)0xc3fe4388, + (q31_t)0x5634ed53, (q31_t)0xc3f9e624, (q31_t)0x562923c5, (q31_t)0xc3f58b10, + (q31_t)0x561d595d, (q31_t)0xc3f1324e, (q31_t)0x56118e1a, (q31_t)0xc3ecdbdc, + (q31_t)0x5605c1fd, (q31_t)0xc3e887bb, (q31_t)0x55f9f507, (q31_t)0xc3e435ea, + (q31_t)0x55ee2738, (q31_t)0xc3dfe66c, (q31_t)0x55e25890, (q31_t)0xc3db993e, + (q31_t)0x55d68911, (q31_t)0xc3d74e62, (q31_t)0x55cab8ba, (q31_t)0xc3d305d8, + (q31_t)0x55bee78c, (q31_t)0xc3cebfa0, (q31_t)0x55b31587, (q31_t)0xc3ca7bba, + (q31_t)0x55a742ac, (q31_t)0xc3c63a26, (q31_t)0x559b6efb, (q31_t)0xc3c1fae5, + (q31_t)0x558f9a76, (q31_t)0xc3bdbdf6, (q31_t)0x5583c51b, (q31_t)0xc3b9835a, + (q31_t)0x5577eeec, (q31_t)0xc3b54b11, (q31_t)0x556c17e9, (q31_t)0xc3b1151b, + (q31_t)0x55604013, (q31_t)0xc3ace178, (q31_t)0x5554676a, (q31_t)0xc3a8b028, + (q31_t)0x55488dee, (q31_t)0xc3a4812c, (q31_t)0x553cb3a0, (q31_t)0xc3a05484, + (q31_t)0x5530d881, (q31_t)0xc39c2a2f, (q31_t)0x5524fc90, (q31_t)0xc398022f, + (q31_t)0x55191fcf, (q31_t)0xc393dc82, (q31_t)0x550d423d, (q31_t)0xc38fb92a, + (q31_t)0x550163dc, (q31_t)0xc38b9827, (q31_t)0x54f584ac, (q31_t)0xc3877978, + (q31_t)0x54e9a4ac, (q31_t)0xc3835d1e, (q31_t)0x54ddc3de, (q31_t)0xc37f4319, + (q31_t)0x54d1e242, (q31_t)0xc37b2b6a, (q31_t)0x54c5ffd9, (q31_t)0xc377160f, + (q31_t)0x54ba1ca3, (q31_t)0xc373030a, (q31_t)0x54ae38a0, (q31_t)0xc36ef25b, + (q31_t)0x54a253d1, (q31_t)0xc36ae401, (q31_t)0x54966e36, (q31_t)0xc366d7fd, + (q31_t)0x548a87d1, (q31_t)0xc362ce50, (q31_t)0x547ea0a0, (q31_t)0xc35ec6f8, + (q31_t)0x5472b8a5, (q31_t)0xc35ac1f7, (q31_t)0x5466cfe1, (q31_t)0xc356bf4d, + (q31_t)0x545ae653, (q31_t)0xc352bef9, (q31_t)0x544efbfc, (q31_t)0xc34ec0fc, + (q31_t)0x544310dd, (q31_t)0xc34ac556, (q31_t)0x543724f5, (q31_t)0xc346cc07, + (q31_t)0x542b3846, (q31_t)0xc342d510, (q31_t)0x541f4ad1, (q31_t)0xc33ee070, + (q31_t)0x54135c94, (q31_t)0xc33aee27, (q31_t)0x54076d91, (q31_t)0xc336fe37, + (q31_t)0x53fb7dc9, (q31_t)0xc333109e, (q31_t)0x53ef8d3c, (q31_t)0xc32f255e, + (q31_t)0x53e39be9, (q31_t)0xc32b3c75, (q31_t)0x53d7a9d3, (q31_t)0xc32755e5, + (q31_t)0x53cbb6f8, (q31_t)0xc32371ae, (q31_t)0x53bfc35b, (q31_t)0xc31f8fcf, + (q31_t)0x53b3cefa, (q31_t)0xc31bb049, (q31_t)0x53a7d9d7, (q31_t)0xc317d31c, + (q31_t)0x539be3f2, (q31_t)0xc313f848, (q31_t)0x538fed4b, (q31_t)0xc3101fce, + (q31_t)0x5383f5e3, (q31_t)0xc30c49ad, (q31_t)0x5377fdbb, (q31_t)0xc30875e5, + (q31_t)0x536c04d2, (q31_t)0xc304a477, (q31_t)0x53600b2a, (q31_t)0xc300d563, + (q31_t)0x535410c3, (q31_t)0xc2fd08a9, (q31_t)0x5348159d, (q31_t)0xc2f93e4a, + (q31_t)0x533c19b8, (q31_t)0xc2f57644, (q31_t)0x53301d16, (q31_t)0xc2f1b099, + (q31_t)0x53241fb6, (q31_t)0xc2eded49, (q31_t)0x5318219a, (q31_t)0xc2ea2c53, + (q31_t)0x530c22c1, (q31_t)0xc2e66db8, (q31_t)0x5300232c, (q31_t)0xc2e2b178, + (q31_t)0x52f422db, (q31_t)0xc2def794, (q31_t)0x52e821cf, (q31_t)0xc2db400a, + (q31_t)0x52dc2009, (q31_t)0xc2d78add, (q31_t)0x52d01d89, (q31_t)0xc2d3d80a, + (q31_t)0x52c41a4f, (q31_t)0xc2d02794, (q31_t)0x52b8165b, (q31_t)0xc2cc7979, + (q31_t)0x52ac11af, (q31_t)0xc2c8cdbb, (q31_t)0x52a00c4b, (q31_t)0xc2c52459, + (q31_t)0x5294062f, (q31_t)0xc2c17d52, (q31_t)0x5287ff5b, (q31_t)0xc2bdd8a9, + (q31_t)0x527bf7d1, (q31_t)0xc2ba365c, (q31_t)0x526fef90, (q31_t)0xc2b6966c, + (q31_t)0x5263e699, (q31_t)0xc2b2f8d8, (q31_t)0x5257dced, (q31_t)0xc2af5da2, + (q31_t)0x524bd28c, (q31_t)0xc2abc4c9, (q31_t)0x523fc776, (q31_t)0xc2a82e4d, + (q31_t)0x5233bbac, (q31_t)0xc2a49a2e, (q31_t)0x5227af2e, (q31_t)0xc2a1086d, + (q31_t)0x521ba1fd, (q31_t)0xc29d790a, (q31_t)0x520f941a, (q31_t)0xc299ec05, + (q31_t)0x52038584, (q31_t)0xc296615d, (q31_t)0x51f7763c, (q31_t)0xc292d914, + (q31_t)0x51eb6643, (q31_t)0xc28f5329, (q31_t)0x51df5599, (q31_t)0xc28bcf9c, + (q31_t)0x51d3443f, (q31_t)0xc2884e6e, (q31_t)0x51c73235, (q31_t)0xc284cf9f, + (q31_t)0x51bb1f7c, (q31_t)0xc281532e, (q31_t)0x51af0c13, (q31_t)0xc27dd91c, + (q31_t)0x51a2f7fc, (q31_t)0xc27a616a, (q31_t)0x5196e337, (q31_t)0xc276ec16, + (q31_t)0x518acdc4, (q31_t)0xc2737922, (q31_t)0x517eb7a4, (q31_t)0xc270088e, + (q31_t)0x5172a0d7, (q31_t)0xc26c9a58, (q31_t)0x5166895f, (q31_t)0xc2692e83, + (q31_t)0x515a713a, (q31_t)0xc265c50e, (q31_t)0x514e586a, (q31_t)0xc2625df8, + (q31_t)0x51423ef0, (q31_t)0xc25ef943, (q31_t)0x513624cb, (q31_t)0xc25b96ee, + (q31_t)0x512a09fc, (q31_t)0xc25836f9, (q31_t)0x511dee84, (q31_t)0xc254d965, + (q31_t)0x5111d263, (q31_t)0xc2517e31, (q31_t)0x5105b599, (q31_t)0xc24e255e, + (q31_t)0x50f99827, (q31_t)0xc24aceed, (q31_t)0x50ed7a0e, (q31_t)0xc2477adc, + (q31_t)0x50e15b4e, (q31_t)0xc244292c, (q31_t)0x50d53be7, (q31_t)0xc240d9de, + (q31_t)0x50c91bda, (q31_t)0xc23d8cf1, (q31_t)0x50bcfb28, (q31_t)0xc23a4265, + (q31_t)0x50b0d9d0, (q31_t)0xc236fa3b, (q31_t)0x50a4b7d3, (q31_t)0xc233b473, + (q31_t)0x50989532, (q31_t)0xc230710d, (q31_t)0x508c71ee, (q31_t)0xc22d3009, + (q31_t)0x50804e06, (q31_t)0xc229f167, (q31_t)0x5074297b, (q31_t)0xc226b528, + (q31_t)0x5068044e, (q31_t)0xc2237b4b, (q31_t)0x505bde7f, (q31_t)0xc22043d0, + (q31_t)0x504fb80e, (q31_t)0xc21d0eb8, (q31_t)0x504390fd, (q31_t)0xc219dc03, + (q31_t)0x5037694b, (q31_t)0xc216abb1, (q31_t)0x502b40f8, (q31_t)0xc2137dc2, + (q31_t)0x501f1807, (q31_t)0xc2105236, (q31_t)0x5012ee76, (q31_t)0xc20d290d, + (q31_t)0x5006c446, (q31_t)0xc20a0248, (q31_t)0x4ffa9979, (q31_t)0xc206dde6, + (q31_t)0x4fee6e0d, (q31_t)0xc203bbe8, (q31_t)0x4fe24205, (q31_t)0xc2009c4e, + (q31_t)0x4fd6155f, (q31_t)0xc1fd7f17, (q31_t)0x4fc9e81e, (q31_t)0xc1fa6445, + (q31_t)0x4fbdba40, (q31_t)0xc1f74bd6, (q31_t)0x4fb18bc8, (q31_t)0xc1f435cc, + (q31_t)0x4fa55cb4, (q31_t)0xc1f12227, (q31_t)0x4f992d06, (q31_t)0xc1ee10e5, + (q31_t)0x4f8cfcbe, (q31_t)0xc1eb0209, (q31_t)0x4f80cbdc, (q31_t)0xc1e7f591, + (q31_t)0x4f749a61, (q31_t)0xc1e4eb7e, (q31_t)0x4f68684e, (q31_t)0xc1e1e3d0, + (q31_t)0x4f5c35a3, (q31_t)0xc1dede87, (q31_t)0x4f500260, (q31_t)0xc1dbdba3, + (q31_t)0x4f43ce86, (q31_t)0xc1d8db25, (q31_t)0x4f379a16, (q31_t)0xc1d5dd0c, + (q31_t)0x4f2b650f, (q31_t)0xc1d2e158, (q31_t)0x4f1f2f73, (q31_t)0xc1cfe80a, + (q31_t)0x4f12f941, (q31_t)0xc1ccf122, (q31_t)0x4f06c27a, (q31_t)0xc1c9fca0, + (q31_t)0x4efa8b20, (q31_t)0xc1c70a84, (q31_t)0x4eee5331, (q31_t)0xc1c41ace, + (q31_t)0x4ee21aaf, (q31_t)0xc1c12d7e, (q31_t)0x4ed5e19a, (q31_t)0xc1be4294, + (q31_t)0x4ec9a7f3, (q31_t)0xc1bb5a11, (q31_t)0x4ebd6db9, (q31_t)0xc1b873f5, + (q31_t)0x4eb132ef, (q31_t)0xc1b5903f, (q31_t)0x4ea4f793, (q31_t)0xc1b2aef0, + (q31_t)0x4e98bba7, (q31_t)0xc1afd007, (q31_t)0x4e8c7f2a, (q31_t)0xc1acf386, + (q31_t)0x4e80421e, (q31_t)0xc1aa196c, (q31_t)0x4e740483, (q31_t)0xc1a741b9, + (q31_t)0x4e67c65a, (q31_t)0xc1a46c6e, (q31_t)0x4e5b87a2, (q31_t)0xc1a1998a, + (q31_t)0x4e4f485c, (q31_t)0xc19ec90d, (q31_t)0x4e430889, (q31_t)0xc19bfaf9, + (q31_t)0x4e36c82a, (q31_t)0xc1992f4c, (q31_t)0x4e2a873e, (q31_t)0xc1966606, + (q31_t)0x4e1e45c6, (q31_t)0xc1939f29, (q31_t)0x4e1203c3, (q31_t)0xc190dab4, + (q31_t)0x4e05c135, (q31_t)0xc18e18a7, (q31_t)0x4df97e1d, (q31_t)0xc18b5903, + (q31_t)0x4ded3a7b, (q31_t)0xc1889bc6, (q31_t)0x4de0f64f, (q31_t)0xc185e0f3, + (q31_t)0x4dd4b19a, (q31_t)0xc1832888, (q31_t)0x4dc86c5d, (q31_t)0xc1807285, + (q31_t)0x4dbc2698, (q31_t)0xc17dbeec, (q31_t)0x4dafe04b, (q31_t)0xc17b0dbb, + (q31_t)0x4da39978, (q31_t)0xc1785ef4, (q31_t)0x4d97521d, (q31_t)0xc175b296, + (q31_t)0x4d8b0a3d, (q31_t)0xc17308a1, (q31_t)0x4d7ec1d6, (q31_t)0xc1706115, + (q31_t)0x4d7278eb, (q31_t)0xc16dbbf3, (q31_t)0x4d662f7b, (q31_t)0xc16b193a, + (q31_t)0x4d59e586, (q31_t)0xc16878eb, (q31_t)0x4d4d9b0e, (q31_t)0xc165db05, + (q31_t)0x4d415013, (q31_t)0xc1633f8a, (q31_t)0x4d350495, (q31_t)0xc160a678, + (q31_t)0x4d28b894, (q31_t)0xc15e0fd1, (q31_t)0x4d1c6c11, (q31_t)0xc15b7b94, + (q31_t)0x4d101f0e, (q31_t)0xc158e9c1, (q31_t)0x4d03d189, (q31_t)0xc1565a58, + (q31_t)0x4cf78383, (q31_t)0xc153cd5a, (q31_t)0x4ceb34fe, (q31_t)0xc15142c6, + (q31_t)0x4cdee5f9, (q31_t)0xc14eba9d, (q31_t)0x4cd29676, (q31_t)0xc14c34df, + (q31_t)0x4cc64673, (q31_t)0xc149b18b, (q31_t)0x4cb9f5f3, (q31_t)0xc14730a3, + (q31_t)0x4cada4f5, (q31_t)0xc144b225, (q31_t)0x4ca1537a, (q31_t)0xc1423613, + (q31_t)0x4c950182, (q31_t)0xc13fbc6c, (q31_t)0x4c88af0e, (q31_t)0xc13d4530, + (q31_t)0x4c7c5c1e, (q31_t)0xc13ad060, (q31_t)0x4c7008b3, (q31_t)0xc1385dfb, + (q31_t)0x4c63b4ce, (q31_t)0xc135ee02, (q31_t)0x4c57606e, (q31_t)0xc1338075, + (q31_t)0x4c4b0b94, (q31_t)0xc1311553, (q31_t)0x4c3eb641, (q31_t)0xc12eac9d, + (q31_t)0x4c326075, (q31_t)0xc12c4653, (q31_t)0x4c260a31, (q31_t)0xc129e276, + (q31_t)0x4c19b374, (q31_t)0xc1278104, (q31_t)0x4c0d5c41, (q31_t)0xc12521ff, + (q31_t)0x4c010496, (q31_t)0xc122c566, (q31_t)0x4bf4ac75, (q31_t)0xc1206b39, + (q31_t)0x4be853de, (q31_t)0xc11e1379, (q31_t)0x4bdbfad1, (q31_t)0xc11bbe26, + (q31_t)0x4bcfa150, (q31_t)0xc1196b3f, (q31_t)0x4bc34759, (q31_t)0xc1171ac6, + (q31_t)0x4bb6ecef, (q31_t)0xc114ccb9, (q31_t)0x4baa9211, (q31_t)0xc1128119, + (q31_t)0x4b9e36c0, (q31_t)0xc11037e6, (q31_t)0x4b91dafc, (q31_t)0xc10df120, + (q31_t)0x4b857ec7, (q31_t)0xc10bacc8, (q31_t)0x4b79221f, (q31_t)0xc1096add, + (q31_t)0x4b6cc506, (q31_t)0xc1072b5f, (q31_t)0x4b60677c, (q31_t)0xc104ee4f, + (q31_t)0x4b540982, (q31_t)0xc102b3ac, (q31_t)0x4b47ab19, (q31_t)0xc1007b77, + (q31_t)0x4b3b4c40, (q31_t)0xc0fe45b0, (q31_t)0x4b2eecf8, (q31_t)0xc0fc1257, + (q31_t)0x4b228d42, (q31_t)0xc0f9e16b, (q31_t)0x4b162d1d, (q31_t)0xc0f7b2ee, + (q31_t)0x4b09cc8c, (q31_t)0xc0f586df, (q31_t)0x4afd6b8d, (q31_t)0xc0f35d3e, + (q31_t)0x4af10a22, (q31_t)0xc0f1360b, (q31_t)0x4ae4a84b, (q31_t)0xc0ef1147, + (q31_t)0x4ad84609, (q31_t)0xc0eceef1, (q31_t)0x4acbe35b, (q31_t)0xc0eacf09, + (q31_t)0x4abf8043, (q31_t)0xc0e8b190, (q31_t)0x4ab31cc1, (q31_t)0xc0e69686, + (q31_t)0x4aa6b8d5, (q31_t)0xc0e47deb, (q31_t)0x4a9a5480, (q31_t)0xc0e267be, + (q31_t)0x4a8defc3, (q31_t)0xc0e05401, (q31_t)0x4a818a9d, (q31_t)0xc0de42b2, + (q31_t)0x4a752510, (q31_t)0xc0dc33d2, (q31_t)0x4a68bf1b, (q31_t)0xc0da2762, + (q31_t)0x4a5c58c0, (q31_t)0xc0d81d61, (q31_t)0x4a4ff1fe, (q31_t)0xc0d615cf, + (q31_t)0x4a438ad7, (q31_t)0xc0d410ad, (q31_t)0x4a37234a, (q31_t)0xc0d20dfa, + (q31_t)0x4a2abb59, (q31_t)0xc0d00db6, (q31_t)0x4a1e5303, (q31_t)0xc0ce0fe3, + (q31_t)0x4a11ea49, (q31_t)0xc0cc147f, (q31_t)0x4a05812c, (q31_t)0xc0ca1b8a, + (q31_t)0x49f917ac, (q31_t)0xc0c82506, (q31_t)0x49ecadc9, (q31_t)0xc0c630f2, + (q31_t)0x49e04385, (q31_t)0xc0c43f4d, (q31_t)0x49d3d8df, (q31_t)0xc0c25019, + (q31_t)0x49c76dd8, (q31_t)0xc0c06355, (q31_t)0x49bb0271, (q31_t)0xc0be7901, + (q31_t)0x49ae96aa, (q31_t)0xc0bc911d, (q31_t)0x49a22a83, (q31_t)0xc0baabaa, + (q31_t)0x4995bdfd, (q31_t)0xc0b8c8a7, (q31_t)0x49895118, (q31_t)0xc0b6e815, + (q31_t)0x497ce3d5, (q31_t)0xc0b509f3, (q31_t)0x49707635, (q31_t)0xc0b32e42, + (q31_t)0x49640837, (q31_t)0xc0b15502, (q31_t)0x495799dd, (q31_t)0xc0af7e33, + (q31_t)0x494b2b27, (q31_t)0xc0ada9d4, (q31_t)0x493ebc14, (q31_t)0xc0abd7e6, + (q31_t)0x49324ca7, (q31_t)0xc0aa086a, (q31_t)0x4925dcdf, (q31_t)0xc0a83b5e, + (q31_t)0x49196cbc, (q31_t)0xc0a670c4, (q31_t)0x490cfc40, (q31_t)0xc0a4a89b, + (q31_t)0x49008b6a, (q31_t)0xc0a2e2e3, (q31_t)0x48f41a3c, (q31_t)0xc0a11f9d, + (q31_t)0x48e7a8b5, (q31_t)0xc09f5ec8, (q31_t)0x48db36d6, (q31_t)0xc09da065, + (q31_t)0x48cec4a0, (q31_t)0xc09be473, (q31_t)0x48c25213, (q31_t)0xc09a2af3, + (q31_t)0x48b5df30, (q31_t)0xc09873e4, (q31_t)0x48a96bf6, (q31_t)0xc096bf48, + (q31_t)0x489cf867, (q31_t)0xc0950d1d, (q31_t)0x48908483, (q31_t)0xc0935d64, + (q31_t)0x4884104b, (q31_t)0xc091b01d, (q31_t)0x48779bbe, (q31_t)0xc0900548, + (q31_t)0x486b26de, (q31_t)0xc08e5ce5, (q31_t)0x485eb1ab, (q31_t)0xc08cb6f5, + (q31_t)0x48523c25, (q31_t)0xc08b1376, (q31_t)0x4845c64d, (q31_t)0xc089726a, + (q31_t)0x48395024, (q31_t)0xc087d3d0, (q31_t)0x482cd9a9, (q31_t)0xc08637a9, + (q31_t)0x482062de, (q31_t)0xc0849df4, (q31_t)0x4813ebc2, (q31_t)0xc08306b2, + (q31_t)0x48077457, (q31_t)0xc08171e2, (q31_t)0x47fafc9c, (q31_t)0xc07fdf85, + (q31_t)0x47ee8493, (q31_t)0xc07e4f9b, (q31_t)0x47e20c3b, (q31_t)0xc07cc223, + (q31_t)0x47d59396, (q31_t)0xc07b371e, (q31_t)0x47c91aa3, (q31_t)0xc079ae8c, + (q31_t)0x47bca163, (q31_t)0xc078286e, (q31_t)0x47b027d7, (q31_t)0xc076a4c2, + (q31_t)0x47a3adff, (q31_t)0xc0752389, (q31_t)0x479733dc, (q31_t)0xc073a4c3, + (q31_t)0x478ab96e, (q31_t)0xc0722871, (q31_t)0x477e3eb5, (q31_t)0xc070ae92, + (q31_t)0x4771c3b3, (q31_t)0xc06f3726, (q31_t)0x47654867, (q31_t)0xc06dc22e, + (q31_t)0x4758ccd2, (q31_t)0xc06c4fa8, (q31_t)0x474c50f4, (q31_t)0xc06adf97, + (q31_t)0x473fd4cf, (q31_t)0xc06971f9, (q31_t)0x47335862, (q31_t)0xc06806ce, + (q31_t)0x4726dbae, (q31_t)0xc0669e18, (q31_t)0x471a5eb3, (q31_t)0xc06537d4, + (q31_t)0x470de172, (q31_t)0xc063d405, (q31_t)0x470163eb, (q31_t)0xc06272aa, + (q31_t)0x46f4e620, (q31_t)0xc06113c2, (q31_t)0x46e86810, (q31_t)0xc05fb74e, + (q31_t)0x46dbe9bb, (q31_t)0xc05e5d4e, (q31_t)0x46cf6b23, (q31_t)0xc05d05c3, + (q31_t)0x46c2ec48, (q31_t)0xc05bb0ab, (q31_t)0x46b66d29, (q31_t)0xc05a5e07, + (q31_t)0x46a9edc9, (q31_t)0xc0590dd8, (q31_t)0x469d6e27, (q31_t)0xc057c01d, + (q31_t)0x4690ee44, (q31_t)0xc05674d6, (q31_t)0x46846e1f, (q31_t)0xc0552c03, + (q31_t)0x4677edbb, (q31_t)0xc053e5a5, (q31_t)0x466b6d16, (q31_t)0xc052a1bb, + (q31_t)0x465eec33, (q31_t)0xc0516045, (q31_t)0x46526b10, (q31_t)0xc0502145, + (q31_t)0x4645e9af, (q31_t)0xc04ee4b8, (q31_t)0x46396810, (q31_t)0xc04daaa1, + (q31_t)0x462ce634, (q31_t)0xc04c72fe, (q31_t)0x4620641a, (q31_t)0xc04b3dcf, + (q31_t)0x4613e1c5, (q31_t)0xc04a0b16, (q31_t)0x46075f33, (q31_t)0xc048dad1, + (q31_t)0x45fadc66, (q31_t)0xc047ad01, (q31_t)0x45ee595d, (q31_t)0xc04681a6, + (q31_t)0x45e1d61b, (q31_t)0xc04558c0, (q31_t)0x45d5529e, (q31_t)0xc044324f, + (q31_t)0x45c8cee7, (q31_t)0xc0430e53, (q31_t)0x45bc4af8, (q31_t)0xc041eccc, + (q31_t)0x45afc6d0, (q31_t)0xc040cdba, (q31_t)0x45a3426f, (q31_t)0xc03fb11d, + (q31_t)0x4596bdd7, (q31_t)0xc03e96f6, (q31_t)0x458a3908, (q31_t)0xc03d7f44, + (q31_t)0x457db403, (q31_t)0xc03c6a07, (q31_t)0x45712ec7, (q31_t)0xc03b573f, + (q31_t)0x4564a955, (q31_t)0xc03a46ed, (q31_t)0x455823ae, (q31_t)0xc0393910, + (q31_t)0x454b9dd3, (q31_t)0xc0382da8, (q31_t)0x453f17c3, (q31_t)0xc03724b6, + (q31_t)0x4532917f, (q31_t)0xc0361e3a, (q31_t)0x45260b08, (q31_t)0xc0351a33, + (q31_t)0x4519845e, (q31_t)0xc03418a2, (q31_t)0x450cfd82, (q31_t)0xc0331986, + (q31_t)0x45007674, (q31_t)0xc0321ce0, (q31_t)0x44f3ef35, (q31_t)0xc03122b0, + (q31_t)0x44e767c5, (q31_t)0xc0302af5, (q31_t)0x44dae024, (q31_t)0xc02f35b1, + (q31_t)0x44ce5854, (q31_t)0xc02e42e2, (q31_t)0x44c1d054, (q31_t)0xc02d5289, + (q31_t)0x44b54825, (q31_t)0xc02c64a6, (q31_t)0x44a8bfc7, (q31_t)0xc02b7939, + (q31_t)0x449c373c, (q31_t)0xc02a9042, (q31_t)0x448fae83, (q31_t)0xc029a9c1, + (q31_t)0x4483259d, (q31_t)0xc028c5b6, (q31_t)0x44769c8b, (q31_t)0xc027e421, + (q31_t)0x446a134c, (q31_t)0xc0270502, (q31_t)0x445d89e2, (q31_t)0xc0262859, + (q31_t)0x4451004d, (q31_t)0xc0254e27, (q31_t)0x4444768d, (q31_t)0xc024766a, + (q31_t)0x4437eca4, (q31_t)0xc023a124, (q31_t)0x442b6290, (q31_t)0xc022ce54, + (q31_t)0x441ed854, (q31_t)0xc021fdfb, (q31_t)0x44124dee, (q31_t)0xc0213018, + (q31_t)0x4405c361, (q31_t)0xc02064ab, (q31_t)0x43f938ac, (q31_t)0xc01f9bb5, + (q31_t)0x43ecadcf, (q31_t)0xc01ed535, (q31_t)0x43e022cc, (q31_t)0xc01e112b, + (q31_t)0x43d397a3, (q31_t)0xc01d4f99, (q31_t)0x43c70c54, (q31_t)0xc01c907c, + (q31_t)0x43ba80df, (q31_t)0xc01bd3d6, (q31_t)0x43adf546, (q31_t)0xc01b19a7, + (q31_t)0x43a16988, (q31_t)0xc01a61ee, (q31_t)0x4394dda7, (q31_t)0xc019acac, + (q31_t)0x438851a2, (q31_t)0xc018f9e1, (q31_t)0x437bc57b, (q31_t)0xc018498c, + (q31_t)0x436f3931, (q31_t)0xc0179bae, (q31_t)0x4362acc5, (q31_t)0xc016f047, + (q31_t)0x43562038, (q31_t)0xc0164757, (q31_t)0x43499389, (q31_t)0xc015a0dd, + (q31_t)0x433d06bb, (q31_t)0xc014fcda, (q31_t)0x433079cc, (q31_t)0xc0145b4e, + (q31_t)0x4323ecbe, (q31_t)0xc013bc39, (q31_t)0x43175f91, (q31_t)0xc0131f9b, + (q31_t)0x430ad245, (q31_t)0xc0128574, (q31_t)0x42fe44dc, (q31_t)0xc011edc3, + (q31_t)0x42f1b755, (q31_t)0xc011588a, (q31_t)0x42e529b0, (q31_t)0xc010c5c7, + (q31_t)0x42d89bf0, (q31_t)0xc010357c, (q31_t)0x42cc0e13, (q31_t)0xc00fa7a8, + (q31_t)0x42bf801a, (q31_t)0xc00f1c4a, (q31_t)0x42b2f207, (q31_t)0xc00e9364, + (q31_t)0x42a663d8, (q31_t)0xc00e0cf5, (q31_t)0x4299d590, (q31_t)0xc00d88fd, + (q31_t)0x428d472e, (q31_t)0xc00d077c, (q31_t)0x4280b8b3, (q31_t)0xc00c8872, + (q31_t)0x42742a1f, (q31_t)0xc00c0be0, (q31_t)0x42679b73, (q31_t)0xc00b91c4, + (q31_t)0x425b0caf, (q31_t)0xc00b1a20, (q31_t)0x424e7dd4, (q31_t)0xc00aa4f3, + (q31_t)0x4241eee2, (q31_t)0xc00a323d, (q31_t)0x42355fd9, (q31_t)0xc009c1ff, + (q31_t)0x4228d0bb, (q31_t)0xc0095438, (q31_t)0x421c4188, (q31_t)0xc008e8e8, + (q31_t)0x420fb240, (q31_t)0xc008800f, (q31_t)0x420322e3, (q31_t)0xc00819ae, + (q31_t)0x41f69373, (q31_t)0xc007b5c4, (q31_t)0x41ea03ef, (q31_t)0xc0075452, + (q31_t)0x41dd7459, (q31_t)0xc006f556, (q31_t)0x41d0e4b0, (q31_t)0xc00698d3, + (q31_t)0x41c454f5, (q31_t)0xc0063ec6, (q31_t)0x41b7c528, (q31_t)0xc005e731, + (q31_t)0x41ab354b, (q31_t)0xc0059214, (q31_t)0x419ea55d, (q31_t)0xc0053f6e, + (q31_t)0x4192155f, (q31_t)0xc004ef3f, (q31_t)0x41858552, (q31_t)0xc004a188, + (q31_t)0x4178f536, (q31_t)0xc0045648, (q31_t)0x416c650b, (q31_t)0xc0040d80, + (q31_t)0x415fd4d2, (q31_t)0xc003c72f, (q31_t)0x4153448c, (q31_t)0xc0038356, + (q31_t)0x4146b438, (q31_t)0xc00341f4, (q31_t)0x413a23d8, (q31_t)0xc003030a, + (q31_t)0x412d936c, (q31_t)0xc002c697, (q31_t)0x412102f4, (q31_t)0xc0028c9c, + (q31_t)0x41147271, (q31_t)0xc0025519, (q31_t)0x4107e1e3, (q31_t)0xc002200d, + (q31_t)0x40fb514b, (q31_t)0xc001ed78, (q31_t)0x40eec0aa, (q31_t)0xc001bd5c, + (q31_t)0x40e22fff, (q31_t)0xc0018fb6, (q31_t)0x40d59f4c, (q31_t)0xc0016489, + (q31_t)0x40c90e90, (q31_t)0xc0013bd3, (q31_t)0x40bc7dcc, (q31_t)0xc0011594, + (q31_t)0x40afed02, (q31_t)0xc000f1ce, (q31_t)0x40a35c30, (q31_t)0xc000d07e, + (q31_t)0x4096cb58, (q31_t)0xc000b1a7, (q31_t)0x408a3a7b, (q31_t)0xc0009547, + (q31_t)0x407da998, (q31_t)0xc0007b5f, (q31_t)0x407118b0, (q31_t)0xc00063ee, + (q31_t)0x406487c4, (q31_t)0xc0004ef5, (q31_t)0x4057f6d4, (q31_t)0xc0003c74, + (q31_t)0x404b65e1, (q31_t)0xc0002c6a, (q31_t)0x403ed4ea, (q31_t)0xc0001ed8, + (q31_t)0x403243f1, (q31_t)0xc00013bd, (q31_t)0x4025b2f7, (q31_t)0xc0000b1a, + (q31_t)0x401921fb, (q31_t)0xc00004ef, (q31_t)0x400c90fe, (q31_t)0xc000013c, +}; + +/** +* @} end of RealFFT_Table group +*/ + +/** +* @addtogroup RealFFT +* @{ +*/ + +/** +* @brief Initialization function for the Q31 RFFT/RIFFT. +* @param[in, out] *S points to an instance of the Q31 RFFT/RIFFT structure. +* @param[in] fftLenReal length of the FFT. +* @param[in] ifftFlagR flag that selects forward (ifftFlagR=0) or inverse (ifftFlagR=1) transform. +* @param[in] bitReverseFlag flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. +* @return The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if fftLenReal is not a supported value. +* +* \par Description: +* \par +* The parameter fftLenReal Specifies length of RFFT/RIFFT Process. Supported FFT Lengths are 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192. +* \par +* The parameter ifftFlagR controls whether a forward or inverse transform is computed. +* Set(=1) ifftFlagR to calculate RIFFT, otherwise RFFT is calculated. +* \par +* The parameter bitReverseFlag controls whether output is in normal order or bit reversed order. +* Set(=1) bitReverseFlag for output to be in normal order otherwise output is in bit reversed order. +* \par 7 +* This function also initializes Twiddle factor table. +*/ + +arm_status arm_rfft_init_q31( + arm_rfft_instance_q31 * S, + uint32_t fftLenReal, + uint32_t ifftFlagR, + uint32_t bitReverseFlag) +{ + /* Initialise the default arm status */ + arm_status status = ARM_MATH_SUCCESS; + + /* Initialize the Real FFT length */ + S->fftLenReal = (uint16_t) fftLenReal; + + /* Initialize the Twiddle coefficientA pointer */ + S->pTwiddleAReal = (q31_t *) realCoefAQ31; + + /* Initialize the Twiddle coefficientB pointer */ + S->pTwiddleBReal = (q31_t *) realCoefBQ31; + + /* Initialize the Flag for selection of RFFT or RIFFT */ + S->ifftFlagR = (uint8_t) ifftFlagR; + + /* Initialize the Flag for calculation Bit reversal or not */ + S->bitReverseFlagR = (uint8_t) bitReverseFlag; + + /* Initialization of coef modifier depending on the FFT length */ + switch (S->fftLenReal) + { + case 8192U: + S->twidCoefRModifier = 1U; + S->pCfft = &arm_cfft_sR_q31_len4096; + break; + case 4096U: + S->twidCoefRModifier = 2U; + S->pCfft = &arm_cfft_sR_q31_len2048; + break; + case 2048U: + S->twidCoefRModifier = 4U; + S->pCfft = &arm_cfft_sR_q31_len1024; + break; + case 1024U: + S->twidCoefRModifier = 8U; + S->pCfft = &arm_cfft_sR_q31_len512; + break; + case 512U: + S->twidCoefRModifier = 16U; + S->pCfft = &arm_cfft_sR_q31_len256; + break; + case 256U: + S->twidCoefRModifier = 32U; + S->pCfft = &arm_cfft_sR_q31_len128; + break; + case 128U: + S->twidCoefRModifier = 64U; + S->pCfft = &arm_cfft_sR_q31_len64; + break; + case 64U: + S->twidCoefRModifier = 128U; + S->pCfft = &arm_cfft_sR_q31_len32; + break; + case 32U: + S->twidCoefRModifier = 256U; + S->pCfft = &arm_cfft_sR_q31_len16; + break; + default: + /* Reporting argument error if rfftSize is not valid value */ + status = ARM_MATH_ARGUMENT_ERROR; + break; + } + + /* return the status of RFFT Init function */ + return (status); +} + +/** +* @} end of RealFFT group +*/ diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_rfft_q15.c b/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_rfft_q15.c new file mode 100644 index 0000000..8a888f4 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_rfft_q15.c @@ -0,0 +1,426 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_rfft_q15.c + * Description: RFFT & RIFFT Q15 process function + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/* ---------------------------------------------------------------------- + * Internal functions prototypes + * -------------------------------------------------------------------- */ + +void arm_split_rfft_q15( + q15_t * pSrc, + uint32_t fftLen, + q15_t * pATable, + q15_t * pBTable, + q15_t * pDst, + uint32_t modifier); + +void arm_split_rifft_q15( + q15_t * pSrc, + uint32_t fftLen, + q15_t * pATable, + q15_t * pBTable, + q15_t * pDst, + uint32_t modifier); + +/** +* @addtogroup RealFFT +* @{ +*/ + +/** +* @brief Processing function for the Q15 RFFT/RIFFT. +* @param[in] *S points to an instance of the Q15 RFFT/RIFFT structure. +* @param[in] *pSrc points to the input buffer. +* @param[out] *pDst points to the output buffer. +* @return none. +* +* \par Input an output formats: +* \par +* Internally input is downscaled by 2 for every stage to avoid saturations inside CFFT/CIFFT process. +* Hence the output format is different for different RFFT sizes. +* The input and output formats for different RFFT sizes and number of bits to upscale are mentioned in the tables below for RFFT and RIFFT: +* \par +* \image html RFFTQ15.gif "Input and Output Formats for Q15 RFFT" +* \par +* \image html RIFFTQ15.gif "Input and Output Formats for Q15 RIFFT" +*/ + +void arm_rfft_q15( + const arm_rfft_instance_q15 * S, + q15_t * pSrc, + q15_t * pDst) +{ + const arm_cfft_instance_q15 *S_CFFT = S->pCfft; + uint32_t i; + uint32_t L2 = S->fftLenReal >> 1; + + /* Calculation of RIFFT of input */ + if (S->ifftFlagR == 1U) + { + /* Real IFFT core process */ + arm_split_rifft_q15(pSrc, L2, S->pTwiddleAReal, + S->pTwiddleBReal, pDst, S->twidCoefRModifier); + + /* Complex IFFT process */ + arm_cfft_q15(S_CFFT, pDst, S->ifftFlagR, S->bitReverseFlagR); + + for(i=0;ifftLenReal;i++) + { + pDst[i] = pDst[i] << 1; + } + } + else + { + /* Calculation of RFFT of input */ + + /* Complex FFT process */ + arm_cfft_q15(S_CFFT, pSrc, S->ifftFlagR, S->bitReverseFlagR); + + /* Real FFT core process */ + arm_split_rfft_q15(pSrc, L2, S->pTwiddleAReal, + S->pTwiddleBReal, pDst, S->twidCoefRModifier); + } +} + +/** +* @} end of RealFFT group +*/ + +/** +* @brief Core Real FFT process +* @param *pSrc points to the input buffer. +* @param fftLen length of FFT. +* @param *pATable points to the A twiddle Coef buffer. +* @param *pBTable points to the B twiddle Coef buffer. +* @param *pDst points to the output buffer. +* @param modifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. +* @return none. +* The function implements a Real FFT +*/ + +void arm_split_rfft_q15( + q15_t * pSrc, + uint32_t fftLen, + q15_t * pATable, + q15_t * pBTable, + q15_t * pDst, + uint32_t modifier) +{ + uint32_t i; /* Loop Counter */ + q31_t outR, outI; /* Temporary variables for output */ + q15_t *pCoefA, *pCoefB; /* Temporary pointers for twiddle factors */ + q15_t *pSrc1, *pSrc2; +#if defined (ARM_MATH_DSP) + q15_t *pD1, *pD2; +#endif + + // pSrc[2U * fftLen] = pSrc[0]; + // pSrc[(2U * fftLen) + 1U] = pSrc[1]; + + pCoefA = &pATable[modifier * 2U]; + pCoefB = &pBTable[modifier * 2U]; + + pSrc1 = &pSrc[2]; + pSrc2 = &pSrc[(2U * fftLen) - 2U]; + +#if defined (ARM_MATH_DSP) + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + i = 1U; + pD1 = pDst + 2; + pD2 = pDst + (4U * fftLen) - 2; + + for(i = fftLen - 1; i > 0; i--) + { + /* + outR = (pSrc[2 * i] * pATable[2 * i] - pSrc[2 * i + 1] * pATable[2 * i + 1] + + pSrc[2 * n - 2 * i] * pBTable[2 * i] + + pSrc[2 * n - 2 * i + 1] * pBTable[2 * i + 1]); + */ + + /* outI = (pIn[2 * i + 1] * pATable[2 * i] + pIn[2 * i] * pATable[2 * i + 1] + + pIn[2 * n - 2 * i] * pBTable[2 * i + 1] - + pIn[2 * n - 2 * i + 1] * pBTable[2 * i]); */ + + +#ifndef ARM_MATH_BIG_ENDIAN + + /* pSrc[2 * i] * pATable[2 * i] - pSrc[2 * i + 1] * pATable[2 * i + 1] */ + outR = __SMUSD(*__SIMD32(pSrc1), *__SIMD32(pCoefA)); + +#else + + /* -(pSrc[2 * i + 1] * pATable[2 * i + 1] - pSrc[2 * i] * pATable[2 * i]) */ + outR = -(__SMUSD(*__SIMD32(pSrc1), *__SIMD32(pCoefA))); + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* pSrc[2 * n - 2 * i] * pBTable[2 * i] + + pSrc[2 * n - 2 * i + 1] * pBTable[2 * i + 1]) */ + outR = __SMLAD(*__SIMD32(pSrc2), *__SIMD32(pCoefB), outR) >> 16U; + + /* pIn[2 * n - 2 * i] * pBTable[2 * i + 1] - + pIn[2 * n - 2 * i + 1] * pBTable[2 * i] */ + +#ifndef ARM_MATH_BIG_ENDIAN + + outI = __SMUSDX(*__SIMD32(pSrc2)--, *__SIMD32(pCoefB)); + +#else + + outI = __SMUSDX(*__SIMD32(pCoefB), *__SIMD32(pSrc2)--); + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* (pIn[2 * i + 1] * pATable[2 * i] + pIn[2 * i] * pATable[2 * i + 1] */ + outI = __SMLADX(*__SIMD32(pSrc1)++, *__SIMD32(pCoefA), outI); + + /* write output */ + *pD1++ = (q15_t) outR; + *pD1++ = outI >> 16U; + + /* write complex conjugate output */ + pD2[0] = (q15_t) outR; + pD2[1] = -(outI >> 16U); + pD2 -= 2; + + /* update coefficient pointer */ + pCoefB = pCoefB + (2U * modifier); + pCoefA = pCoefA + (2U * modifier); + } + + pDst[2U * fftLen] = (pSrc[0] - pSrc[1]) >> 1; + pDst[(2U * fftLen) + 1U] = 0; + + pDst[0] = (pSrc[0] + pSrc[1]) >> 1; + pDst[1] = 0; + +#else + + /* Run the below code for Cortex-M0 */ + i = 1U; + + while (i < fftLen) + { + /* + outR = (pSrc[2 * i] * pATable[2 * i] - pSrc[2 * i + 1] * pATable[2 * i + 1] + + pSrc[2 * n - 2 * i] * pBTable[2 * i] + + pSrc[2 * n - 2 * i + 1] * pBTable[2 * i + 1]); + */ + + outR = *pSrc1 * *pCoefA; + outR = outR - (*(pSrc1 + 1) * *(pCoefA + 1)); + outR = outR + (*pSrc2 * *pCoefB); + outR = (outR + (*(pSrc2 + 1) * *(pCoefB + 1))) >> 16; + + + /* outI = (pIn[2 * i + 1] * pATable[2 * i] + pIn[2 * i] * pATable[2 * i + 1] + + pIn[2 * n - 2 * i] * pBTable[2 * i + 1] - + pIn[2 * n - 2 * i + 1] * pBTable[2 * i]); + */ + + outI = *pSrc2 * *(pCoefB + 1); + outI = outI - (*(pSrc2 + 1) * *pCoefB); + outI = outI + (*(pSrc1 + 1) * *pCoefA); + outI = outI + (*pSrc1 * *(pCoefA + 1)); + + /* update input pointers */ + pSrc1 += 2U; + pSrc2 -= 2U; + + /* write output */ + pDst[2U * i] = (q15_t) outR; + pDst[(2U * i) + 1U] = outI >> 16U; + + /* write complex conjugate output */ + pDst[(4U * fftLen) - (2U * i)] = (q15_t) outR; + pDst[((4U * fftLen) - (2U * i)) + 1U] = -(outI >> 16U); + + /* update coefficient pointer */ + pCoefB = pCoefB + (2U * modifier); + pCoefA = pCoefA + (2U * modifier); + + i++; + } + + pDst[2U * fftLen] = (pSrc[0] - pSrc[1]) >> 1; + pDst[(2U * fftLen) + 1U] = 0; + + pDst[0] = (pSrc[0] + pSrc[1]) >> 1; + pDst[1] = 0; + +#endif /* #if defined (ARM_MATH_DSP) */ +} + + +/** +* @brief Core Real IFFT process +* @param[in] *pSrc points to the input buffer. +* @param[in] fftLen length of FFT. +* @param[in] *pATable points to the twiddle Coef A buffer. +* @param[in] *pBTable points to the twiddle Coef B buffer. +* @param[out] *pDst points to the output buffer. +* @param[in] modifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. +* @return none. +* The function implements a Real IFFT +*/ +void arm_split_rifft_q15( + q15_t * pSrc, + uint32_t fftLen, + q15_t * pATable, + q15_t * pBTable, + q15_t * pDst, + uint32_t modifier) +{ + uint32_t i; /* Loop Counter */ + q31_t outR, outI; /* Temporary variables for output */ + q15_t *pCoefA, *pCoefB; /* Temporary pointers for twiddle factors */ + q15_t *pSrc1, *pSrc2; + q15_t *pDst1 = &pDst[0]; + + pCoefA = &pATable[0]; + pCoefB = &pBTable[0]; + + pSrc1 = &pSrc[0]; + pSrc2 = &pSrc[2U * fftLen]; + +#if defined (ARM_MATH_DSP) + + /* Run the below code for Cortex-M4 and Cortex-M3 */ + i = fftLen; + + while (i > 0U) + { + /* + outR = (pIn[2 * i] * pATable[2 * i] + pIn[2 * i + 1] * pATable[2 * i + 1] + + pIn[2 * n - 2 * i] * pBTable[2 * i] - + pIn[2 * n - 2 * i + 1] * pBTable[2 * i + 1]); + + outI = (pIn[2 * i + 1] * pATable[2 * i] - pIn[2 * i] * pATable[2 * i + 1] - + pIn[2 * n - 2 * i] * pBTable[2 * i + 1] - + pIn[2 * n - 2 * i + 1] * pBTable[2 * i]); + */ + + +#ifndef ARM_MATH_BIG_ENDIAN + + /* pIn[2 * n - 2 * i] * pBTable[2 * i] - + pIn[2 * n - 2 * i + 1] * pBTable[2 * i + 1]) */ + outR = __SMUSD(*__SIMD32(pSrc2), *__SIMD32(pCoefB)); + +#else + + /* -(-pIn[2 * n - 2 * i] * pBTable[2 * i] + + pIn[2 * n - 2 * i + 1] * pBTable[2 * i + 1])) */ + outR = -(__SMUSD(*__SIMD32(pSrc2), *__SIMD32(pCoefB))); + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* pIn[2 * i] * pATable[2 * i] + pIn[2 * i + 1] * pATable[2 * i + 1] + + pIn[2 * n - 2 * i] * pBTable[2 * i] */ + outR = __SMLAD(*__SIMD32(pSrc1), *__SIMD32(pCoefA), outR) >> 16U; + + /* + -pIn[2 * n - 2 * i] * pBTable[2 * i + 1] + + pIn[2 * n - 2 * i + 1] * pBTable[2 * i] */ + outI = __SMUADX(*__SIMD32(pSrc2)--, *__SIMD32(pCoefB)); + + /* pIn[2 * i + 1] * pATable[2 * i] - pIn[2 * i] * pATable[2 * i + 1] */ + +#ifndef ARM_MATH_BIG_ENDIAN + + outI = __SMLSDX(*__SIMD32(pCoefA), *__SIMD32(pSrc1)++, -outI); + +#else + + outI = __SMLSDX(*__SIMD32(pSrc1)++, *__SIMD32(pCoefA), -outI); + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + /* write output */ + +#ifndef ARM_MATH_BIG_ENDIAN + + *__SIMD32(pDst1)++ = __PKHBT(outR, (outI >> 16U), 16); + +#else + + *__SIMD32(pDst1)++ = __PKHBT((outI >> 16U), outR, 16); + +#endif /* #ifndef ARM_MATH_BIG_ENDIAN */ + + /* update coefficient pointer */ + pCoefB = pCoefB + (2U * modifier); + pCoefA = pCoefA + (2U * modifier); + + i--; + } +#else + /* Run the below code for Cortex-M0 */ + i = fftLen; + + while (i > 0U) + { + /* + outR = (pIn[2 * i] * pATable[2 * i] + pIn[2 * i + 1] * pATable[2 * i + 1] + + pIn[2 * n - 2 * i] * pBTable[2 * i] - + pIn[2 * n - 2 * i + 1] * pBTable[2 * i + 1]); + */ + + outR = *pSrc2 * *pCoefB; + outR = outR - (*(pSrc2 + 1) * *(pCoefB + 1)); + outR = outR + (*pSrc1 * *pCoefA); + outR = (outR + (*(pSrc1 + 1) * *(pCoefA + 1))) >> 16; + + /* + outI = (pIn[2 * i + 1] * pATable[2 * i] - pIn[2 * i] * pATable[2 * i + 1] - + pIn[2 * n - 2 * i] * pBTable[2 * i + 1] - + pIn[2 * n - 2 * i + 1] * pBTable[2 * i]); + */ + + outI = *(pSrc1 + 1) * *pCoefA; + outI = outI - (*pSrc1 * *(pCoefA + 1)); + outI = outI - (*pSrc2 * *(pCoefB + 1)); + outI = outI - (*(pSrc2 + 1) * *(pCoefB)); + + /* update input pointers */ + pSrc1 += 2U; + pSrc2 -= 2U; + + /* write output */ + *pDst1++ = (q15_t) outR; + *pDst1++ = (q15_t) (outI >> 16); + + /* update coefficient pointer */ + pCoefB = pCoefB + (2U * modifier); + pCoefA = pCoefA + (2U * modifier); + + i--; + } +#endif /* #if defined (ARM_MATH_DSP) */ +} diff --git a/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_rfft_q31.c b/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_rfft_q31.c new file mode 100644 index 0000000..d21b964 --- /dev/null +++ b/cdc-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_rfft_q31.c @@ -0,0 +1,283 @@ +/* ---------------------------------------------------------------------- + * Project: CMSIS DSP Library + * Title: arm_rfft_q31.c + * Description: FFT & RIFFT Q31 process function + * + * $Date: 27. January 2017 + * $Revision: V.1.5.1 + * + * Target Processor: Cortex-M cores + * -------------------------------------------------------------------- */ +/* + * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved. + * + * SPDX-License-Identifier: Apache-2.0 + * + * Licensed under the Apache License, Version 2.0 (the License); you may + * not use this file except in compliance with the License. + * You may obtain a copy of the License at + * + * www.apache.org/licenses/LICENSE-2.0 + * + * Unless required by applicable law or agreed to in writing, software + * distributed under the License is distributed on an AS IS BASIS, WITHOUT + * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. + * See the License for the specific language governing permissions and + * limitations under the License. + */ + +#include "arm_math.h" + +/* ---------------------------------------------------------------------- + * Internal functions prototypes + * -------------------------------------------------------------------- */ + +void arm_split_rfft_q31( + q31_t * pSrc, + uint32_t fftLen, + q31_t * pATable, + q31_t * pBTable, + q31_t * pDst, + uint32_t modifier); + +void arm_split_rifft_q31( + q31_t * pSrc, + uint32_t fftLen, + q31_t * pATable, + q31_t * pBTable, + q31_t * pDst, + uint32_t modifier); + +/** +* @addtogroup RealFFT +* @{ +*/ + +/** +* @brief Processing function for the Q31 RFFT/RIFFT. +* @param[in] *S points to an instance of the Q31 RFFT/RIFFT structure. +* @param[in] *pSrc points to the input buffer. +* @param[out] *pDst points to the output buffer. +* @return none. +* +* \par Input an output formats: +* \par +* Internally input is downscaled by 2 for every stage to avoid saturations inside CFFT/CIFFT process. +* Hence the output format is different for different RFFT sizes. +* The input and output formats for different RFFT sizes and number of bits to upscale are mentioned in the tables below for RFFT and RIFFT: +* \par +* \image html RFFTQ31.gif "Input and Output Formats for Q31 RFFT" +* +* \par +* \image html RIFFTQ31.gif "Input and Output Formats for Q31 RIFFT" +*/ +void arm_rfft_q31( + const arm_rfft_instance_q31 * S, + q31_t * pSrc, + q31_t * pDst) +{ + const arm_cfft_instance_q31 *S_CFFT = S->pCfft; + uint32_t i; + uint32_t L2 = S->fftLenReal >> 1; + + /* Calculation of RIFFT of input */ + if (S->ifftFlagR == 1U) + { + /* Real IFFT core process */ + arm_split_rifft_q31(pSrc, L2, S->pTwiddleAReal, + S->pTwiddleBReal, pDst, S->twidCoefRModifier); + + /* Complex IFFT process */ + arm_cfft_q31(S_CFFT, pDst, S->ifftFlagR, S->bitReverseFlagR); + + for(i=0;ifftLenReal;i++) + { + pDst[i] = pDst[i] << 1; + } + } + else + { + /* Calculation of RFFT of input */ + + /* Complex FFT process */ + arm_cfft_q31(S_CFFT, pSrc, S->ifftFlagR, S->bitReverseFlagR); + + /* Real FFT core process */ + arm_split_rfft_q31(pSrc, L2, S->pTwiddleAReal, + S->pTwiddleBReal, pDst, S->twidCoefRModifier); + } +} + +/** +* @} end of RealFFT group +*/ + +/** +* @brief Core Real FFT process +* @param[in] *pSrc points to the input buffer. +* @param[in] fftLen length of FFT. +* @param[in] *pATable points to the twiddle Coef A buffer. +* @param[in] *pBTable points to the twiddle Coef B buffer. +* @param[out] *pDst points to the output buffer. +* @param[in] modifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. +* @return none. +*/ +void arm_split_rfft_q31( + q31_t * pSrc, + uint32_t fftLen, + q31_t * pATable, + q31_t * pBTable, + q31_t * pDst, + uint32_t modifier) +{ + uint32_t i; /* Loop Counter */ + q31_t outR, outI; /* Temporary variables for output */ + q31_t *pCoefA, *pCoefB; /* Temporary pointers for twiddle factors */ + q31_t CoefA1, CoefA2, CoefB1; /* Temporary variables for twiddle coefficients */ + q31_t *pOut1 = &pDst[2], *pOut2 = &pDst[(4U * fftLen) - 1U]; + q31_t *pIn1 = &pSrc[2], *pIn2 = &pSrc[(2U * fftLen) - 1U]; + + /* Init coefficient pointers */ + pCoefA = &pATable[modifier * 2U]; + pCoefB = &pBTable[modifier * 2U]; + + i = fftLen - 1U; + + while (i > 0U) + { + /* + outR = (pSrc[2 * i] * pATable[2 * i] - pSrc[2 * i + 1] * pATable[2 * i + 1] + + pSrc[2 * n - 2 * i] * pBTable[2 * i] + + pSrc[2 * n - 2 * i + 1] * pBTable[2 * i + 1]); + */ + + /* outI = (pIn[2 * i + 1] * pATable[2 * i] + pIn[2 * i] * pATable[2 * i + 1] + + pIn[2 * n - 2 * i] * pBTable[2 * i + 1] - + pIn[2 * n - 2 * i + 1] * pBTable[2 * i]); */ + + CoefA1 = *pCoefA++; + CoefA2 = *pCoefA; + + /* outR = (pSrc[2 * i] * pATable[2 * i] */ + mult_32x32_keep32_R(outR, *pIn1, CoefA1); + + /* outI = pIn[2 * i] * pATable[2 * i + 1] */ + mult_32x32_keep32_R(outI, *pIn1++, CoefA2); + + /* - pSrc[2 * i + 1] * pATable[2 * i + 1] */ + multSub_32x32_keep32_R(outR, *pIn1, CoefA2); + + /* (pIn[2 * i + 1] * pATable[2 * i] */ + multAcc_32x32_keep32_R(outI, *pIn1++, CoefA1); + + /* pSrc[2 * n - 2 * i] * pBTable[2 * i] */ + multSub_32x32_keep32_R(outR, *pIn2, CoefA2); + CoefB1 = *pCoefB; + + /* pIn[2 * n - 2 * i] * pBTable[2 * i + 1] */ + multSub_32x32_keep32_R(outI, *pIn2--, CoefB1); + + /* pSrc[2 * n - 2 * i + 1] * pBTable[2 * i + 1] */ + multAcc_32x32_keep32_R(outR, *pIn2, CoefB1); + + /* pIn[2 * n - 2 * i + 1] * pBTable[2 * i] */ + multSub_32x32_keep32_R(outI, *pIn2--, CoefA2); + + /* write output */ + *pOut1++ = outR; + *pOut1++ = outI; + + /* write complex conjugate output */ + *pOut2-- = -outI; + *pOut2-- = outR; + + /* update coefficient pointer */ + pCoefB = pCoefB + (modifier * 2U); + pCoefA = pCoefA + ((modifier * 2U) - 1U); + + i--; + } + pDst[2U * fftLen] = (pSrc[0] - pSrc[1]) >> 1; + pDst[(2U * fftLen) + 1U] = 0; + + pDst[0] = (pSrc[0] + pSrc[1]) >> 1; + pDst[1] = 0; +} + +/** +* @brief Core Real IFFT process +* @param[in] *pSrc points to the input buffer. +* @param[in] fftLen length of FFT. +* @param[in] *pATable points to the twiddle Coef A buffer. +* @param[in] *pBTable points to the twiddle Coef B buffer. +* @param[out] *pDst points to the output buffer. +* @param[in] modifier twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. +* @return none. +*/ +void arm_split_rifft_q31( + q31_t * pSrc, + uint32_t fftLen, + q31_t * pATable, + q31_t * pBTable, + q31_t * pDst, + uint32_t modifier) +{ + q31_t outR, outI; /* Temporary variables for output */ + q31_t *pCoefA, *pCoefB; /* Temporary pointers for twiddle factors */ + q31_t CoefA1, CoefA2, CoefB1; /* Temporary variables for twiddle coefficients */ + q31_t *pIn1 = &pSrc[0], *pIn2 = &pSrc[(2U * fftLen) + 1U]; + + pCoefA = &pATable[0]; + pCoefB = &pBTable[0]; + + while (fftLen > 0U) + { + /* + outR = (pIn[2 * i] * pATable[2 * i] + pIn[2 * i + 1] * pATable[2 * i + 1] + + pIn[2 * n - 2 * i] * pBTable[2 * i] - + pIn[2 * n - 2 * i + 1] * pBTable[2 * i + 1]); + + outI = (pIn[2 * i + 1] * pATable[2 * i] - pIn[2 * i] * pATable[2 * i + 1] - + pIn[2 * n - 2 * i] * pBTable[2 * i + 1] - + pIn[2 * n - 2 * i + 1] * pBTable[2 * i]); + */ + CoefA1 = *pCoefA++; + CoefA2 = *pCoefA; + + /* outR = (pIn[2 * i] * pATable[2 * i] */ + mult_32x32_keep32_R(outR, *pIn1, CoefA1); + + /* - pIn[2 * i] * pATable[2 * i + 1] */ + mult_32x32_keep32_R(outI, *pIn1++, -CoefA2); + + /* pIn[2 * i + 1] * pATable[2 * i + 1] */ + multAcc_32x32_keep32_R(outR, *pIn1, CoefA2); + + /* pIn[2 * i + 1] * pATable[2 * i] */ + multAcc_32x32_keep32_R(outI, *pIn1++, CoefA1); + + /* pIn[2 * n - 2 * i] * pBTable[2 * i] */ + multAcc_32x32_keep32_R(outR, *pIn2, CoefA2); + CoefB1 = *pCoefB; + + /* pIn[2 * n - 2 * i] * pBTable[2 * i + 1] */ + multSub_32x32_keep32_R(outI, *pIn2--, CoefB1); + + /* pIn[2 * n - 2 * i + 1] * pBTable[2 * i + 1] */ + multAcc_32x32_keep32_R(outR, *pIn2, CoefB1); + + /* pIn[2 * n - 2 * i + 1] * pBTable[2 * i] */ + multAcc_32x32_keep32_R(outI, *pIn2--, CoefA2); + + /* write output */ + *pDst++ = outR; + *pDst++ = outI; + + /* update coefficient pointer */ + pCoefB = pCoefB + (modifier * 2U); + pCoefA = pCoefA + ((modifier * 2U) - 1U); + + /* Decrement loop count */ + fftLen--; + } +} -- cgit