From 6ab94e0b318884bbcb95e2ea3835f951502e1d99 Mon Sep 17 00:00:00 2001 From: jaseg Date: Wed, 14 Oct 2020 12:47:28 +0200 Subject: Move firmware into subdirectory --- .../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 + 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| 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 + 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.../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 fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_abs_f32.c create mode 100644 fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_abs_q15.c create mode 100644 fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_abs_q31.c create mode 100644 fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_abs_q7.c create mode 100644 fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_add_f32.c create mode 100644 fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_add_q15.c create mode 100644 fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_add_q31.c create mode 100644 fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_add_q7.c create mode 100644 fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_dot_prod_f32.c create mode 100644 fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_dot_prod_q15.c create mode 100644 fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_dot_prod_q31.c create mode 100644 fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_dot_prod_q7.c create mode 100644 fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_mult_f32.c create mode 100644 fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_mult_q15.c create mode 100644 fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_mult_q31.c create mode 100644 fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_mult_q7.c create mode 100644 fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_negate_f32.c create mode 100644 fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_negate_q15.c create mode 100644 fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_negate_q31.c create mode 100644 fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_negate_q7.c create mode 100644 fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_offset_f32.c create mode 100644 fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_offset_q15.c create mode 100644 fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_offset_q31.c create mode 100644 fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_offset_q7.c create mode 100644 fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_scale_f32.c create mode 100644 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100644 fw/hid-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_q7_to_q15.c create mode 100644 fw/hid-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_q7_to_q31.c create mode 100644 fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_bitreversal.c create mode 100644 fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_bitreversal2.S create mode 100644 fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_f32.c create mode 100644 fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_q15.c create mode 100644 fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_q31.c create mode 100644 fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix2_f32.c create mode 100644 fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix2_init_f32.c create mode 100644 fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix2_init_q15.c create mode 100644 fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix2_init_q31.c create mode 100644 fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix2_q15.c create mode 100644 fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix2_q31.c create mode 100644 fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix4_f32.c create mode 100644 fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix4_init_f32.c create mode 100644 fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix4_init_q15.c create mode 100644 fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix4_init_q31.c create mode 100644 fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix4_q15.c create mode 100644 fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix4_q31.c create mode 100644 fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix8_f32.c create mode 100644 fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_dct4_f32.c create mode 100644 fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_dct4_init_f32.c create mode 100644 fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_dct4_init_q15.c create mode 100644 fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_dct4_init_q31.c create mode 100644 fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_dct4_q15.c create mode 100644 fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_dct4_q31.c create mode 100644 fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_rfft_f32.c create mode 100644 fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_rfft_fast_f32.c create mode 100644 fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_rfft_fast_init_f32.c create mode 100644 fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_rfft_init_f32.c create mode 100644 fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_rfft_init_q15.c create mode 100644 fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_rfft_init_q31.c create mode 100644 fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_rfft_q15.c create mode 100644 fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_rfft_q31.c (limited to 'fw/hid-dials/Drivers/CMSIS/DSP/Source') diff --git a/fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_abs_f32.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_abs_f32.c new file mode 100644 index 0000000..69b2bfc --- /dev/null +++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_abs_q15.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_abs_q15.c new file mode 100644 index 0000000..4bed8cc --- /dev/null +++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_abs_q31.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_abs_q31.c new file mode 100644 index 0000000..25cd036 --- /dev/null +++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_abs_q7.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_abs_q7.c new file mode 100644 index 0000000..1ab2a1c --- /dev/null +++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_add_f32.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_add_f32.c new file mode 100644 index 0000000..4d1ac4d --- /dev/null +++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_add_q15.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_add_q15.c new file mode 100644 index 0000000..2a14c29 --- /dev/null +++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_add_q31.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_add_q31.c new file mode 100644 index 0000000..7503e1a --- /dev/null +++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_add_q7.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_add_q7.c new file mode 100644 index 0000000..fee1865 --- /dev/null +++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_dot_prod_f32.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_dot_prod_f32.c new file mode 100644 index 0000000..6c7aae1 --- /dev/null +++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_dot_prod_q15.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_dot_prod_q15.c new file mode 100644 index 0000000..6a48242 --- /dev/null +++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_dot_prod_q31.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_dot_prod_q31.c new file mode 100644 index 0000000..e739879 --- /dev/null +++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_dot_prod_q7.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_dot_prod_q7.c new file mode 100644 index 0000000..ef08038 --- /dev/null +++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_mult_f32.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_mult_f32.c new file mode 100644 index 0000000..334e32b --- /dev/null +++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_mult_q15.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_mult_q15.c new file mode 100644 index 0000000..f3039d2 --- /dev/null +++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_mult_q31.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_mult_q31.c new file mode 100644 index 0000000..93f0c73 --- /dev/null +++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_mult_q7.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_mult_q7.c new file mode 100644 index 0000000..e5a8f24 --- /dev/null +++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_negate_f32.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_negate_f32.c new file mode 100644 index 0000000..d463885 --- /dev/null +++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_negate_q15.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_negate_q15.c new file mode 100644 index 0000000..0820f30 --- /dev/null +++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_negate_q31.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_negate_q31.c new file mode 100644 index 0000000..ab5985a --- /dev/null +++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_negate_q7.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_negate_q7.c new file mode 100644 index 0000000..b225c5e --- /dev/null +++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_offset_f32.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_offset_f32.c new file mode 100644 index 0000000..c35fe8e --- /dev/null +++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_offset_q15.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_offset_q15.c new file mode 100644 index 0000000..4c16224 --- /dev/null +++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_offset_q31.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_offset_q31.c new file mode 100644 index 0000000..0b0ee32 --- /dev/null +++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_offset_q7.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_offset_q7.c new file mode 100644 index 0000000..5b98951 --- /dev/null +++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_scale_f32.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_scale_f32.c new file mode 100644 index 0000000..0fc3204 --- /dev/null +++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_scale_q15.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_scale_q15.c new file mode 100644 index 0000000..f1d3063 --- /dev/null +++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_scale_q31.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_scale_q31.c new file mode 100644 index 0000000..dcc7bbe --- /dev/null +++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_scale_q7.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_scale_q7.c new file mode 100644 index 0000000..8c90396 --- /dev/null +++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_shift_q15.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_shift_q15.c new file mode 100644 index 0000000..9462ad7 --- /dev/null +++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_shift_q31.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_shift_q31.c new file mode 100644 index 0000000..12490a1 --- /dev/null +++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_shift_q7.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_shift_q7.c new file mode 100644 index 0000000..6f40431 --- /dev/null +++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_sub_f32.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_sub_f32.c new file mode 100644 index 0000000..6d56fa7 --- /dev/null +++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_sub_q15.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_sub_q15.c new file mode 100644 index 0000000..643f933 --- /dev/null +++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_sub_q31.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_sub_q31.c new file mode 100644 index 0000000..1c83aae --- /dev/null +++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_sub_q7.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/BasicMathFunctions/arm_sub_q7.c new file mode 100644 index 0000000..8f8e111 --- /dev/null +++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/CommonTables/arm_common_tables.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/CommonTables/arm_common_tables.c new file mode 100644 index 0000000..bb5c15a --- /dev/null +++ b/fw/hid-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, + 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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, 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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, 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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, 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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, 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+ (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, + 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(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, 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(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, 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+ (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, 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(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, 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(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, 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(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, 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(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, 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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, 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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, 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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, 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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, 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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, 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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, 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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] = { + 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-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/CommonTables/arm_const_structs.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/CommonTables/arm_const_structs.c new file mode 100644 index 0000000..96808d3 --- /dev/null +++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_conj_f32.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_conj_f32.c new file mode 100644 index 0000000..29e74bc --- /dev/null +++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_conj_q15.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_conj_q15.c
new file mode 100644
index 0000000..1e371bd
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_conj_q31.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_conj_q31.c
new file mode 100644
index 0000000..af14414
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_dot_prod_f32.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_dot_prod_f32.c
new file mode 100644
index 0000000..aac177f
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_dot_prod_q15.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_dot_prod_q15.c
new file mode 100644
index 0000000..efe72a2
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_dot_prod_q31.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_dot_prod_q31.c
new file mode 100644
index 0000000..dfd3a4b
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_f32.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_f32.c
new file mode 100644
index 0000000..6c8be8f
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_q15.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_q15.c
new file mode 100644
index 0000000..445c996
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_q31.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_q31.c
new file mode 100644
index 0000000..c1fdfdf
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_squared_f32.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_squared_f32.c
new file mode 100644
index 0000000..a7a34a3
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_squared_q15.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_squared_q15.c
new file mode 100644
index 0000000..7876cdc
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_squared_q31.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mag_squared_q31.c
new file mode 100644
index 0000000..b9c0c0c
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_f32.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_f32.c
new file mode 100644
index 0000000..90af35a
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_q15.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_q15.c
new file mode 100644
index 0000000..1dce470
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_q31.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_cmplx_q31.c
new file mode 100644
index 0000000..2eed4e8
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_real_f32.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_real_f32.c
new file mode 100644
index 0000000..6f45804
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_real_q15.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_real_q15.c
new file mode 100644
index 0000000..abafc3b
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_real_q31.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/ComplexMathFunctions/arm_cmplx_mult_real_q31.c
new file mode 100644
index 0000000..aaa3ec0
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_pid_init_f32.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_pid_init_f32.c
new file mode 100644
index 0000000..e729500
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_pid_init_q15.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_pid_init_q15.c
new file mode 100644
index 0000000..0f83f35
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_pid_init_q31.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_pid_init_q31.c
new file mode 100644
index 0000000..ce2936e
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_pid_reset_f32.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_pid_reset_f32.c
new file mode 100644
index 0000000..acc1709
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_pid_reset_q15.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_pid_reset_q15.c
new file mode 100644
index 0000000..59c4416
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_pid_reset_q31.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_pid_reset_q31.c
new file mode 100644
index 0000000..7112a77
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_sin_cos_f32.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_sin_cos_f32.c
new file mode 100644
index 0000000..2aff091
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_sin_cos_q31.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/ControllerFunctions/arm_sin_cos_q31.c
new file mode 100644
index 0000000..c1c33ec
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_cos_f32.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_cos_f32.c
new file mode 100644
index 0000000..44efbd5
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_cos_q15.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_cos_q15.c
new file mode 100644
index 0000000..036c5d7
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_cos_q31.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_cos_q31.c
new file mode 100644
index 0000000..105addb
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_sin_f32.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_sin_f32.c
new file mode 100644
index 0000000..3fb5153
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_sin_q15.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_sin_q15.c
new file mode 100644
index 0000000..9eecaa9
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_sin_q31.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_sin_q31.c
new file mode 100644
index 0000000..2119016
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_sqrt_q15.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_sqrt_q15.c
new file mode 100644
index 0000000..83e4ddd
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_sqrt_q31.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FastMathFunctions/arm_sqrt_q31.c
new file mode 100644
index 0000000..de8c35f
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_32x64_init_q31.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_32x64_init_q31.c
new file mode 100644
index 0000000..8a29213
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_32x64_q31.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_32x64_q31.c
new file mode 100644
index 0000000..d241f76
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_f32.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_f32.c
new file mode 100644
index 0000000..658e395
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_fast_q15.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_fast_q15.c
new file mode 100644
index 0000000..2a08968
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_fast_q31.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_fast_q31.c
new file mode 100644
index 0000000..5e41faa
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_init_f32.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_init_f32.c
new file mode 100644
index 0000000..147c8c5
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_init_q15.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_init_q15.c
new file mode 100644
index 0000000..dd46fb4
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_init_q31.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_init_q31.c
new file mode 100644
index 0000000..10fb6bc
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_q15.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_q15.c
new file mode 100644
index 0000000..c524756
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_q31.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df1_q31.c
new file mode 100644
index 0000000..da367ec
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df2T_f32.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df2T_f32.c
new file mode 100644
index 0000000..3f1ce03
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df2T_f64.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df2T_f64.c
new file mode 100644
index 0000000..8f8a830
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df2T_init_f32.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df2T_init_f32.c
new file mode 100644
index 0000000..6dfc985
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df2T_init_f64.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_df2T_init_f64.c
new file mode 100644
index 0000000..8141da5
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_stereo_df2T_f32.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_stereo_df2T_f32.c
new file mode 100644
index 0000000..36084e5
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_stereo_df2T_init_f32.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_biquad_cascade_stereo_df2T_init_f32.c
new file mode 100644
index 0000000..b847c6e
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_f32.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_f32.c
new file mode 100644
index 0000000..906f7ab
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_fast_opt_q15.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_fast_opt_q15.c
new file mode 100644
index 0000000..26c37f0
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_fast_q15.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_fast_q15.c
new file mode 100644
index 0000000..16b0424
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_fast_q31.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_fast_q31.c
new file mode 100644
index 0000000..bc57221
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_opt_q15.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_opt_q15.c
new file mode 100644
index 0000000..47f6f84
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_opt_q7.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_opt_q7.c
new file mode 100644
index 0000000..1dc2e49
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_f32.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_f32.c
new file mode 100644
index 0000000..9eae124
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_fast_opt_q15.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_fast_opt_q15.c
new file mode 100644
index 0000000..f469d1f
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_fast_q15.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_fast_q15.c
new file mode 100644
index 0000000..0d4486a
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_fast_q31.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_fast_q31.c
new file mode 100644
index 0000000..e845947
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_opt_q15.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_opt_q15.c
new file mode 100644
index 0000000..78dd548
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_opt_q7.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_opt_q7.c
new file mode 100644
index 0000000..351c290
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_q15.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_q15.c
new file mode 100644
index 0000000..43d2b35
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_q31.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_q31.c
new file mode 100644
index 0000000..3a108e0
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_q7.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_partial_q7.c
new file mode 100644
index 0000000..cb4c562
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_q15.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_q15.c
new file mode 100644
index 0000000..c6721e0
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_q31.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_q31.c
new file mode 100644
index 0000000..14e5f86
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_q7.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_conv_q7.c
new file mode 100644
index 0000000..6c4dd3c
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_f32.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_f32.c
new file mode 100644
index 0000000..9451887
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_fast_opt_q15.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_fast_opt_q15.c
new file mode 100644
index 0000000..baebc49
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_fast_q15.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_fast_q15.c
new file mode 100644
index 0000000..7b676d0
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_fast_q31.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_fast_q31.c
new file mode 100644
index 0000000..53373ac
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_opt_q15.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_opt_q15.c
new file mode 100644
index 0000000..c021b05
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_opt_q7.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_opt_q7.c
new file mode 100644
index 0000000..dbffd5d
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_q15.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_q15.c
new file mode 100644
index 0000000..fdff6db
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_q31.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_q31.c
new file mode 100644
index 0000000..f2e946a
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_q7.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_correlate_q7.c
new file mode 100644
index 0000000..f8b1df5
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_f32.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_f32.c
new file mode 100644
index 0000000..fd8e237
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_fast_q15.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_fast_q15.c
new file mode 100644
index 0000000..684640e
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_fast_q31.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_fast_q31.c
new file mode 100644
index 0000000..46b7d3d
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_init_f32.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_init_f32.c
new file mode 100644
index 0000000..45797dc
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_init_q15.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_init_q15.c
new file mode 100644
index 0000000..7314711
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_init_q31.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_init_q31.c
new file mode 100644
index 0000000..f6f3fb2
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_q15.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_q15.c
new file mode 100644
index 0000000..56f12fb
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_q31.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_decimate_q31.c
new file mode 100644
index 0000000..6a13cb5
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_f32.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_f32.c
new file mode 100644
index 0000000..812f9df
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_fast_q15.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_fast_q15.c
new file mode 100644
index 0000000..35e431b
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_fast_q31.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_fast_q31.c
new file mode 100644
index 0000000..bd9c686
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_init_f32.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_init_f32.c
new file mode 100644
index 0000000..25fcb01
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_init_q15.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_init_q15.c
new file mode 100644
index 0000000..a5638d5
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_init_q31.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_init_q31.c
new file mode 100644
index 0000000..2367a65
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_init_q7.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_init_q7.c
new file mode 100644
index 0000000..5a91fb8
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_f32.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_f32.c
new file mode 100644
index 0000000..5f9d19c
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_init_f32.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_init_f32.c
new file mode 100644
index 0000000..415c8da
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_init_q15.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_init_q15.c
new file mode 100644
index 0000000..6dce943
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_init_q31.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_init_q31.c
new file mode 100644
index 0000000..9875aa8
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_q15.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_q15.c
new file mode 100644
index 0000000..1cedd25
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_q31.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_interpolate_q31.c
new file mode 100644
index 0000000..2c0f522
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_f32.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_f32.c
new file mode 100644
index 0000000..1b6d0fb
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_init_f32.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_init_f32.c
new file mode 100644
index 0000000..55520eb
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_init_q15.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_init_q15.c
new file mode 100644
index 0000000..59cf496
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_init_q31.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_init_q31.c
new file mode 100644
index 0000000..abdd76f
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_q15.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_q15.c
new file mode 100644
index 0000000..fb95ab6
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_q31.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_lattice_q31.c
new file mode 100644
index 0000000..9d52bbc
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_q15.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_q15.c
new file mode 100644
index 0000000..a979783
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_q31.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_q31.c
new file mode 100644
index 0000000..b0a2723
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_q7.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_q7.c
new file mode 100644
index 0000000..4f795d7
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_f32.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_f32.c
new file mode 100644
index 0000000..fe9aacd
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_init_f32.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_init_f32.c
new file mode 100644
index 0000000..191f8bb
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_init_q15.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_init_q15.c
new file mode 100644
index 0000000..297c5fa
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_init_q31.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_init_q31.c
new file mode 100644
index 0000000..3eb8d47
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_init_q7.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_init_q7.c
new file mode 100644
index 0000000..c2cb7b0
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_q15.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_q15.c
new file mode 100644
index 0000000..663b6e0
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_q31.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_q31.c
new file mode 100644
index 0000000..3fd3da0
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_q7.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_fir_sparse_q7.c
new file mode 100644
index 0000000..252ba95
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_f32.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_f32.c
new file mode 100644
index 0000000..7cccd4a
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_init_f32.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_init_f32.c
new file mode 100644
index 0000000..f20a21b
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_init_q15.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_init_q15.c
new file mode 100644
index 0000000..6cae944
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_init_q31.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_init_q31.c
new file mode 100644
index 0000000..fe9869e
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_q15.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_q15.c
new file mode 100644
index 0000000..9c70b68
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_q31.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_iir_lattice_q31.c
new file mode 100644
index 0000000..736cbc0
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_f32.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_f32.c
new file mode 100644
index 0000000..3975f00
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_init_f32.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_init_f32.c
new file mode 100644
index 0000000..73158bb
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_init_q15.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_init_q15.c
new file mode 100644
index 0000000..001287d
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_init_q31.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_init_q31.c
new file mode 100644
index 0000000..7d95d97
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_f32.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_f32.c
new file mode 100644
index 0000000..a365b33
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_init_f32.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_init_f32.c
new file mode 100644
index 0000000..49272f8
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_init_q15.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_init_q15.c
new file mode 100644
index 0000000..0624222
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_init_q31.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_init_q31.c
new file mode 100644
index 0000000..4f70408
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_q15.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_q15.c
new file mode 100644
index 0000000..00bde39
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_q31.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_norm_q31.c
new file mode 100644
index 0000000..bc65fa6
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_q15.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_q15.c
new file mode 100644
index 0000000..8d5226e
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_q31.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/FilteringFunctions/arm_lms_q31.c
new file mode 100644
index 0000000..66b2a91
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_add_f32.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_add_f32.c
new file mode 100644
index 0000000..9b609be
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_add_q15.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_add_q15.c
new file mode 100644
index 0000000..e6737fa
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_add_q31.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_add_q31.c
new file mode 100644
index 0000000..4119563
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_cmplx_mult_f32.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_cmplx_mult_f32.c
new file mode 100644
index 0000000..9b2f532
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_cmplx_mult_q15.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_cmplx_mult_q15.c
new file mode 100644
index 0000000..b1578a5
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_cmplx_mult_q31.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_cmplx_mult_q31.c
new file mode 100644
index 0000000..a05440e
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_init_f32.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_init_f32.c
new file mode 100644
index 0000000..34399c7
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_init_q15.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_init_q15.c
new file mode 100644
index 0000000..6be7387
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_init_q31.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_init_q31.c
new file mode 100644
index 0000000..c8a0839
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_inverse_f32.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_inverse_f32.c
new file mode 100644
index 0000000..c0f8fc4
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_inverse_f64.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_inverse_f64.c
new file mode 100644
index 0000000..441376b
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_f32.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_f32.c
new file mode 100644
index 0000000..fa9f03f
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_fast_q15.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_fast_q15.c
new file mode 100644
index 0000000..796df88
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_fast_q31.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_fast_q31.c
new file mode 100644
index 0000000..bff3177
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_q15.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_q15.c
new file mode 100644
index 0000000..abd55bd
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_q31.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_mult_q31.c
new file mode 100644
index 0000000..2ce3637
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_scale_f32.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_scale_f32.c
new file mode 100644
index 0000000..3e4f5f7
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_scale_q15.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_scale_q15.c
new file mode 100644
index 0000000..4eff925
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_scale_q31.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_scale_q31.c
new file mode 100644
index 0000000..1b2b373
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_sub_f32.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_sub_f32.c
new file mode 100644
index 0000000..42eaadb
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_sub_q15.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_sub_q15.c
new file mode 100644
index 0000000..07818dc
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_sub_q31.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_sub_q31.c
new file mode 100644
index 0000000..ebfd09d
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_trans_f32.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_trans_f32.c
new file mode 100644
index 0000000..aaedb9d
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_trans_q15.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_trans_q15.c
new file mode 100644
index 0000000..817210c
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_trans_q31.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/MatrixFunctions/arm_mat_trans_q31.c
new file mode 100644
index 0000000..9f94938
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_max_f32.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_max_f32.c
new file mode 100644
index 0000000..3a77a9f
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_max_q15.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_max_q15.c
new file mode 100644
index 0000000..c2fead2
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_max_q31.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_max_q31.c
new file mode 100644
index 0000000..5e90693
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_max_q7.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_max_q7.c
new file mode 100644
index 0000000..6cd6f60
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_mean_f32.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_mean_f32.c
new file mode 100644
index 0000000..8a59188
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_mean_q15.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_mean_q15.c
new file mode 100644
index 0000000..9ef0914
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_mean_q31.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_mean_q31.c
new file mode 100644
index 0000000..def314a
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_mean_q7.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_mean_q7.c
new file mode 100644
index 0000000..ae60869
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_min_f32.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_min_f32.c
new file mode 100644
index 0000000..6ef11f9
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_min_q15.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_min_q15.c
new file mode 100644
index 0000000..aa7e424
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_min_q31.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_min_q31.c
new file mode 100644
index 0000000..57dd195
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_min_q7.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_min_q7.c
new file mode 100644
index 0000000..ac96603
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_power_f32.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_power_f32.c
new file mode 100644
index 0000000..bfe4dd3
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_power_q15.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_power_q15.c
new file mode 100644
index 0000000..fbe73d1
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_power_q31.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_power_q31.c
new file mode 100644
index 0000000..498face
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_power_q7.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_power_q7.c
new file mode 100644
index 0000000..3b8335a
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_rms_f32.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_rms_f32.c
new file mode 100644
index 0000000..3089d40
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_rms_q15.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_rms_q15.c
new file mode 100644
index 0000000..7cc2e12
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_rms_q31.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_rms_q31.c
new file mode 100644
index 0000000..7cb9149
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_std_f32.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_std_f32.c
new file mode 100644
index 0000000..e082fc6
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_std_q15.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_std_q15.c
new file mode 100644
index 0000000..e3626d8
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_std_q31.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_std_q31.c
new file mode 100644
index 0000000..806a90e
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_var_f32.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_var_f32.c
new file mode 100644
index 0000000..a366f5c
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_var_q15.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_var_q15.c
new file mode 100644
index 0000000..ff9972a
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_var_q31.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/StatisticsFunctions/arm_var_q31.c
new file mode 100644
index 0000000..08e80fe
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_copy_f32.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_copy_f32.c
new file mode 100644
index 0000000..13245b6
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_copy_q15.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_copy_q15.c
new file mode 100644
index 0000000..28b60d9
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_copy_q31.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_copy_q31.c
new file mode 100644
index 0000000..b0bdd05
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_copy_q7.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_copy_q7.c
new file mode 100644
index 0000000..a3afa36
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_fill_f32.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_fill_f32.c
new file mode 100644
index 0000000..5a70608
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_fill_q15.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_fill_q15.c
new file mode 100644
index 0000000..8f27def
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_fill_q31.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_fill_q31.c
new file mode 100644
index 0000000..3769f4d
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_fill_q7.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_fill_q7.c
new file mode 100644
index 0000000..fa718b7
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_float_to_q15.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_float_to_q15.c
new file mode 100644
index 0000000..b652e7c
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_float_to_q31.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_float_to_q31.c
new file mode 100644
index 0000000..7ce1402
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_float_to_q7.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_float_to_q7.c
new file mode 100644
index 0000000..7fd3f2c
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_q15_to_float.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_q15_to_float.c
new file mode 100644
index 0000000..442ba9f
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_q15_to_q31.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_q15_to_q31.c
new file mode 100644
index 0000000..2dff322
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_q15_to_q7.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_q15_to_q7.c
new file mode 100644
index 0000000..26a35e7
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_q31_to_float.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_q31_to_float.c
new file mode 100644
index 0000000..b15d90e
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_q31_to_q15.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_q31_to_q15.c
new file mode 100644
index 0000000..2fd305b
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_q31_to_q7.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_q31_to_q7.c
new file mode 100644
index 0000000..6586861
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_q7_to_float.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_q7_to_float.c
new file mode 100644
index 0000000..d866501
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_q7_to_q15.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_q7_to_q15.c
new file mode 100644
index 0000000..5bc5a56
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_q7_to_q31.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/SupportFunctions/arm_q7_to_q31.c
new file mode 100644
index 0000000..abbda7f
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_bitreversal.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_bitreversal.c
new file mode 100644
index 0000000..3119769
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_bitreversal2.S b/fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_bitreversal2.S
new file mode 100644
index 0000000..cde264c
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_f32.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_f32.c
new file mode 100644
index 0000000..2593202
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_q31.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_q31.c
new file mode 100644
index 0000000..934a3fc
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix2_f32.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix2_f32.c
new file mode 100644
index 0000000..45bcc3b
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix2_init_f32.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix2_init_f32.c
new file mode 100644
index 0000000..0f423eb
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix2_init_q15.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix2_init_q15.c
new file mode 100644
index 0000000..54f4e84
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix2_init_q31.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix2_init_q31.c
new file mode 100644
index 0000000..41ad965
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix2_q15.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix2_q15.c
new file mode 100644
index 0000000..c7a9bdf
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix2_q31.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix2_q31.c
new file mode 100644
index 0000000..e69400c
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix4_f32.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix4_f32.c
new file mode 100644
index 0000000..dbbcca7
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix4_init_f32.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix4_init_f32.c
new file mode 100644
index 0000000..5383771
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix4_init_q15.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix4_init_q15.c
new file mode 100644
index 0000000..b2e38b4
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix4_init_q31.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix4_init_q31.c
new file mode 100644
index 0000000..9c11754
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix4_q15.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix4_q15.c
new file mode 100644
index 0000000..140fa53
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix4_q31.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix4_q31.c
new file mode 100644
index 0000000..35025bb
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix8_f32.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_cfft_radix8_f32.c
new file mode 100644
index 0000000..69ed5a6
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_dct4_f32.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_dct4_f32.c
new file mode 100644
index 0000000..ccb3c52
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_dct4_init_f32.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_dct4_init_f32.c
new file mode 100644
index 0000000..19b46f5
--- /dev/null
+++ b/fw/hid-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,
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+  -0.997060070339482960f,
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+  -0.997511456140303450f,
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+  -0.997925286198596000f,
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+  -0.999430604555461730f,
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+  -0.999618822495178640f,
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+  -0.999769405351215280f,
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+  -0.999882347454212560f,
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+  -0.999957644551963900f,
+  0.006135884649154515f, -0.999981175282601110f, 0.003067956762966138f,
+  -0.999995293809576190f
+};
+
+static const float32_t Weights_2048[4096] = {
+  1.000000000000000000f, 0.000000000000000000f, 0.999999705862882230f,
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+  -0.003834942569706228f,
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+  -0.005368906963996343f,
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+  -0.006902858724729756f,
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+  -0.008436794242369799f,
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+  -0.009970709907418031f,
+  0.999942349676023910f, -0.010737659167264491f, 0.999933819875236000f,
+  -0.011504602110422714f,
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+  -0.013038467241987334f,
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+  -0.014572301692779064f,
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+  -0.016106101853537287f,
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+  -0.098780408549799623f,
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+  -0.999964409618118280f,
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+  -0.999976174986897610f,
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+  -0.999985587315143200f,
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+  -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,
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+    -0.000958737845553301f,
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+    -0.001342232786374338f,
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+    -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,
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+    -0.003643196311896068f,
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+    -0.004026688686516512f,
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+    -0.004410180468937631f,
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+    -0.010929395512867571f,
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+    -0.011312866991496258f,
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+    -0.011696336806357838f,
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+    -0.012079804901055957f,
+  0.999924701839144500f, -0.012271538285719925f, 0.999922330418976490f,
+    -0.012463271219194511f,
+  0.999919922234522750f, -0.012655003694430242f, 0.999917477285871770f,
+    -0.012846735704377662f,
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+    -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,
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+    -0.015147480965280987f,
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+    -0.015530931040716447f,
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+    -0.015914378832040183f,
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+    -0.016297824282859065f,
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+    -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,
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+  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,
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+  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,
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+    0.199278031631268500f,
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+    0.197751626001360480f,
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+    0.196225104039265410f,
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+    0.194698466642997730f,
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+    0.193171714710637930f,
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+    0.191644849140335360f,
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+    0.190117870830306100f,
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+    0.188590780678831250f,
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+    0.187063579584259070f,
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+    0.185536268445003070f,
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+    0.184008848159540110f,
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+    0.182481319626412670f,
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+    0.180953683744226880f,
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+    0.179425941411650660f,
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+    0.177898093527416370f,
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+    0.176370140990316640f,
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+    0.170257302291283000f,
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+    0.168728839973898290f,
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+    0.167200278397683750f,
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+    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,
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+    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,
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+    0.133548631837404950f,
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+    0.132018035602502530f,
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+    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/fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_dct4_init_q15.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_dct4_init_q15.c
new file mode 100644
index 0000000..d3401bc
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_dct4_init_q31.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_dct4_init_q31.c
new file mode 100644
index 0000000..5873a33
--- /dev/null
+++ b/fw/hid-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,
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+  (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,
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+  (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,
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+  (q31_t)0x7fbc040a, (q31_t)0xf7c24f59, (q31_t)0x7fba6357, (q31_t)0xf7a93ae0, (q31_t)0x7fb8bdb8, (q31_t)0xf79026b9, (q31_t)0x7fb7132b, (q31_t)0xf77712e5,
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+  (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,
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+  (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,
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+  (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,
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+  (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,
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+  (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,
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+  (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,
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+  (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,
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+  (q31_t)0x6563bf92, (q31_t)0xb1def9e9, (q31_t)0x6554666d, (q31_t)0xb1cb1304, (q31_t)0x6545095f, (q31_t)0xb1b72f23, (q31_t)0x6535a86b, (q31_t)0xb1a34e47,
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+  (q31_t)0x4a062fbd, (q31_t)0x979364b5, (q31_t)0x49f1ad61, (q31_t)0x9784dddc, (q31_t)0x49dd282a, (q31_t)0x97765b0a, (q31_t)0x49c8a01b, (q31_t)0x9767dc41,
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+  (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,
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+  (q31_t)0x401d0321, (q31_t)0x9136d97d, (q31_t)0x40074132, (q31_t)0x912a44f0, (q31_t)0x3ff17cca, (q31_t)0x911db4a9, (q31_t)0x3fdbb5ec, (q31_t)0x911128a8,
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+  (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,
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+  (q31_t)0x3db832a6, (q31_t)0x8fdcef66, (q31_t)0x3da22cd7, (q31_t)0x8fd0d333, (q31_t)0x3d8c24a8, (q31_t)0x8fc4bb53, (q31_t)0x3d761a19, (q31_t)0x8fb8a7c7,
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+  (q31_t)0x3c56ba70, (q31_t)0x8f1d343a, (q31_t)0x3c408f03, (q31_t)0x8f115d72, (q31_t)0x3c2a6142, (q31_t)0x8f058b04, (q31_t)0x3c143130, (q31_t)0x8ef9bcf2,
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+  (q31_t)0x3af2eeb7, (q31_t)0x8e61d32e, (q31_t)0x3adc9e86, (q31_t)0x8e564246, (q31_t)0x3ac64c0f, (q31_t)0x8e4ab5bf, (q31_t)0x3aaff755, (q31_t)0x8e3f2d9b,
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+  (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,
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+  (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,
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+  (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,
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+  (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,
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+    (q31_t)0x7d9a351c, (q31_t)0xe757697b,
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+    (q31_t)0x7d955b37, (q31_t)0xe73ec07e,
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+    (q31_t)0x7d907c7a, (q31_t)0xe7261875,
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+    (q31_t)0x7d8b98e6, (q31_t)0xe70d7162,
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+    (q31_t)0x7d7cd121, (q31_t)0xe6c381f1,
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+    (q31_t)0x7d6dddd2, (q31_t)0xe6799b42,
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+    (q31_t)0x7d4a5236, (q31_t)0xe5cd4e47,
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+    (q31_t)0x7cb2e7a6, (q31_t)0xe31e15f4,
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+    (q31_t)0x7cad3974, (q31_t)0xe3059a76,
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+    (q31_t)0x7ca78674, (q31_t)0xe2ed2017,
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+    (q31_t)0x7c96509d, (q31_t)0xe2a3b7b5,
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+    (q31_t)0x7c908a65, (q31_t)0xe28b41d7,
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+    (q31_t)0x7c8abf5f, (q31_t)0xe272cd1c,
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+    (q31_t)0x7c84ef8c, (q31_t)0xe25a5984,
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+    (q31_t)0x7c7f1aed, (q31_t)0xe241e711,
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+    (q31_t)0x7c794180, (q31_t)0xe22975c4,
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+    (q31_t)0x7c736347, (q31_t)0xe211059d,
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+    (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,
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+    (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,
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+    (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,
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+    (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,
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+    (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,
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+    (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,
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+    (q31_t)0x62e60b58, (q31_t)0xaebda227,
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+  (q31_t)0x62d216b3, (q31_t)0xaea55e9e, (q31_t)0x62ce1841, (q31_t)0xaea084e6, (q31_t)0x62ca1992, (q31_t)0xae9bab60,
+    (q31_t)0x62c61aa7, (q31_t)0xae96d20c,
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+    (q31_t)0x62a61aba, (q31_t)0xae700e80,
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+    (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,
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+    (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,
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+    (q31_t)0x62258317, (q31_t)0xadd57e51,
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+    (q31_t)0x62155f16, (q31_t)0xadc23a85,
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+    (q31_t)0x6205374c, (q31_t)0xadaef9e4,
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+    (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,
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+    (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,
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+    (q31_t)0x56573b3b, (q31_t)0xa18151fb,
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+    (q31_t)0x5644abbc, (q31_t)0xa1705fd8,
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+    (q31_t)0x563218eb, (q31_t)0xa15f715a,
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+    (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,
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+    (q31_t)0x55e7ac71, (q31_t)0xa11bdbe4,
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+    (q31_t)0x55d50909, (q31_t)0xa10affab,
+  (q31_t)0x55d05faa, (q31_t)0xa106c92f, (q31_t)0x55cbb617, (q31_t)0xa10292ed, (q31_t)0x55c70c4f, (q31_t)0xa0fe5ce6,
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+    (q31_t)0x55afb84c, (q31_t)0xa0e95234,
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+    (q31_t)0x559d0af9, (q31_t)0xa0d880f7,
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+    (q31_t)0x5577a66c, (q31_t)0xa0b6e981,
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+    (q31_t)0x5564ef34, (q31_t)0xa0a62348,
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+    (q31_t)0x5519f16f, (q31_t)0xa0632f2e,
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+    (q31_t)0x550729c9, (q31_t)0xa0527b5d,
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+    (q31_t)0x5424cf16, (q31_t)0x9f8b2e00,
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+    (q31_t)0x5411dd0a, (q31_t)0x9f7aaa55,
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+    (q31_t)0x53fee7c1, (q31_t)0x9f6a2a63,
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+    (q31_t)0x53ebef3a, (q31_t)0x9f59ae29,
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+    (q31_t)0x539feccd, (q31_t)0x9f17e28e,
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+    (q31_t)0x538ce421, (q31_t)0x9f0778fd,
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+    (q31_t)0x5379d83c, (q31_t)0x9ef71328,
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+    (q31_t)0x5366c91f, (q31_t)0x9ee6b112,
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+    (q31_t)0x5353b6cb, (q31_t)0x9ed652ba,
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+    (q31_t)0x5340a140, (q31_t)0x9ec5f820,
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+    (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,
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+    (q31_t)0x53074d62, (q31_t)0x9e94fed4,
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+    (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,
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+    (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,
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+    (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,
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+    (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,
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+    (q31_t)0x46a49722, (q31_t)0x954261b7,
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+    (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,
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+    (q31_t)0x4665aac6, (q31_t)0x9518d78a,
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+    (q31_t)0x45e788dc, (q31_t)0x94c63286,
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+    (q31_t)0x44aa8d1d, (q31_t)0x93fa220b,
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+    (q31_t)0x4455a0ac, (q31_t)0x93c45539,
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+    (q31_t)0x44405ef8, (q31_t)0x93b6ec71,
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+    (q31_t)0x442b1aa2, (q31_t)0x93a987d6,
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+    (q31_t)0x43eb3ddf, (q31_t)0x93817318,
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+    (q31_t)0x43d5ef0a, (q31_t)0x93741f35,
+  (q31_t)0x43d09aed, (q31_t)0x9370cae4, (q31_t)0x43cb46a5, (q31_t)0x936d76d6, (q31_t)0x43c5f234, (q31_t)0x936a230a,
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+    (q31_t)0x43ab498a, (q31_t)0x935983ff,
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+    (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,
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+    (q31_t)0x4355df42, (q31_t)0x93247fd9,
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+    (q31_t)0x43407e31, (q31_t)0x9317494c,
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+    (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,
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+    (q31_t)0x43004b71, (q31_t)0x92efbeda,
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+    (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,
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+    (q31_t)0x36ed394b, (q31_t)0x8c624cf5,
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+    (q31_t)0x36d684be, (q31_t)0x8c578645,
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+    (q31_t)0x36bfce13, (q31_t)0x8c4cc40b,
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+    (q31_t)0x36a9154c, (q31_t)0x8c420647,
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+    (q31_t)0x36925a69, (q31_t)0x8c374cf9,
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+  (q31_t)0x3675edd9, (q31_t)0x8c29eb9f, (q31_t)0x36703e24, (q31_t)0x8c273f63, (q31_t)0x366a8e4d, (q31_t)0x8c24936f,
+    (q31_t)0x3664de55, (q31_t)0x8c21e7c2,
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+    (q31_t)0x364e1d25, (q31_t)0x8c173bda,
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+  (q31_t)0x3631a8b8, (q31_t)0x8c09eb40, (q31_t)0x362bf771, (q31_t)0x8c07425e, (q31_t)0x36264609, (q31_t)0x8c0499c4,
+    (q31_t)0x3620947f, (q31_t)0x8c01f171,
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+    (q31_t)0x3609cd0a, (q31_t)0x8bf752f2,
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+    (q31_t)0x35dc37e0, (q31_t)0x8be22360,
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+    (q31_t)0x35c56a2e, (q31_t)0x8bd7924d,
+  (q31_t)0x35bfb66e, (q31_t)0x8bd4eebc, (q31_t)0x35ba028e, (q31_t)0x8bd24b72, (q31_t)0x35b44e8c, (q31_t)0x8bcfa870,
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+    (q31_t)0x356a1eb2, (q31_t)0x8bad7ad0,
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+    (q31_t)0x32b95d91, (q31_t)0x8a7ac0af,
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+    (q31_t)0x328b3336, (q31_t)0x8a66de68,
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+    (q31_t)0x32741b1c, (q31_t)0x8a5cf411,
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+    (q31_t)0x3245e512, (q31_t)0x8a492cff,
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+    (q31_t)0x322ec725, (q31_t)0x8a3f5045,
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+    (q31_t)0x3217a748, (q31_t)0x8a357814,
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+    (q31_t)0x31e961c5, (q31_t)0x8a21d554,
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+    (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,
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+    (q31_t)0x318cbfad, (q31_t)0x89fac65d,
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+    (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,
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+    (q31_t)0x312fff05, (q31_t)0x89d40033,
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+    (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,
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+    (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,
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+    (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,
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+    (q31_t)0x79ea4c09, (q31_t)0x79e861da,
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+    (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,
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+    (q31_t)0x79bc0698, (q31_t)0x79ba155e,
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+    (q31_t)0x79ac748e, (q31_t)0x79aa80fb,
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+    (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,
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+    (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,
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+    (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/fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_dct4_q15.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_dct4_q15.c
new file mode 100644
index 0000000..4fd7f6e
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_dct4_q31.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_dct4_q31.c
new file mode 100644
index 0000000..7191208
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_rfft_f32.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_rfft_f32.c
new file mode 100644
index 0000000..16c75eb
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_rfft_fast_f32.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_rfft_fast_f32.c
new file mode 100644
index 0000000..08e06e0
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_rfft_fast_init_f32.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_rfft_fast_init_f32.c
new file mode 100644
index 0000000..6f6c2f9
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_rfft_init_f32.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_rfft_init_f32.c
new file mode 100644
index 0000000..fd02e41
--- /dev/null
+++ b/fw/hid-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,
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+  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,
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+  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/fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_rfft_init_q15.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_rfft_init_q15.c
new file mode 100644
index 0000000..3d1f229
--- /dev/null
+++ b/fw/hid-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,
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+    (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,
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+    (q15_t)0x7b, (q15_t)0xf82a, (q15_t)0x7a, (q15_t)0xf837, (q15_t)0x78, (q15_t)0xf843, (q15_t)0x77, (q15_t)0xf850,
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+    (q15_t)0x6f, (q15_t)0xf88e, (q15_t)0x6e, (q15_t)0xf89b, (q15_t)0x6c, (q15_t)0xf8a7, (q15_t)0x6b, (q15_t)0xf8b4,
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+    (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,
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+    (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,
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+    (q15_t)0x5, (q15_t)0xfe6e, (q15_t)0x5, (q15_t)0xfe7a, (q15_t)0x4, (q15_t)0xfe87, (q15_t)0x4, (q15_t)0xfe94,
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+    (q15_t)0x3, (q15_t)0xfed2, (q15_t)0x3, (q15_t)0xfedf, (q15_t)0x2, (q15_t)0xfeec, (q15_t)0x2, (q15_t)0xfef8,
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+    (q15_t)0x6, (q15_t)0x1c4, (q15_t)0x7, (q15_t)0x1d1, (q15_t)0x7, (q15_t)0x1dd, (q15_t)0x7, (q15_t)0x1ea,
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+    (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,
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+    (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,
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+    (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,
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+    (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,
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+    (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,
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+    (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,
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+    (q15_t)0x1bb, (q15_t)0xeca, (q15_t)0x1be, (q15_t)0xed6, (q15_t)0x1c1, (q15_t)0xee2, (q15_t)0x1c4, (q15_t)0xeee,
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+    (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,
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+    (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,
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+    (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,
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+    (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,
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+    (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,
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+    (q15_t)0x748d, (q15_t)0x2488, (q15_t)0x7494, (q15_t)0x247d, (q15_t)0x749b, (q15_t)0x2473, (q15_t)0x74a2, (q15_t)0x2469,
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+    (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,
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+    (q15_t)0x75c1, (q15_t)0x22bc, (q15_t)0x75c8, (q15_t)0x22b2, (q15_t)0x75ce, (q15_t)0x22a7, (q15_t)0x75d5, (q15_t)0x229d,
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+    (q15_t)0x7612, (q15_t)0x223d, (q15_t)0x7619, (q15_t)0x2233, (q15_t)0x7620, (q15_t)0x2228, (q15_t)0x7626, (q15_t)0x221e,
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+    (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,
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+    (q15_t)0x76cb, (q15_t)0x2112, (q15_t)0x76d2, (q15_t)0x2107, (q15_t)0x76d8, (q15_t)0x20fd, (q15_t)0x76df, (q15_t)0x20f2,
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+    (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,
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+    (q15_t)0x7797, (q15_t)0x1fb7, (q15_t)0x779d, (q15_t)0x1fac, (q15_t)0x77a3, (q15_t)0x1fa2, (q15_t)0x77a9, (q15_t)0x1f97,
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+    (q15_t)0x77e1, (q15_t)0x1f34, (q15_t)0x77e7, (q15_t)0x1f29, (q15_t)0x77ed, (q15_t)0x1f1e, (q15_t)0x77f3, (q15_t)0x1f13,
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+    (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,
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+    (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,
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+    (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,
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+    (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,
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+    (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,
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+    (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,
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+    (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,
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+    (q15_t)0x7f40, (q15_t)0xf639, (q15_t)0x7f3e, (q15_t)0xf62c, (q15_t)0x7f3c, (q15_t)0xf620, (q15_t)0x7f3a, (q15_t)0xf613,
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+    (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,
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+    (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,
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+    (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,
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+    (q15_t)0x7dfc, (q15_t)0xf012, (q15_t)0x7df9, (q15_t)0xf005, (q15_t)0x7df6, (q15_t)0xeff9, (q15_t)0x7df3, (q15_t)0xefed,
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+    (q15_t)0x7dc9, (q15_t)0xef4f, (q15_t)0x7dc6, (q15_t)0xef43, (q15_t)0x7dc2, (q15_t)0xef37, (q15_t)0x7dbf, (q15_t)0xef2b,
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+    (q15_t)0x7daf, (q15_t)0xeeee, (q15_t)0x7dab, (q15_t)0xeee2, (q15_t)0x7da8, (q15_t)0xeed6, (q15_t)0x7da4, (q15_t)0xeeca,
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+    (q15_t)0x7d78, (q15_t)0xee2d, (q15_t)0x7d74, (q15_t)0xee21, (q15_t)0x7d71, (q15_t)0xee15, (q15_t)0x7d6d, (q15_t)0xee09,
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+    (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,
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+    (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,
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+    (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,
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+    (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,
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+    (q15_t)0x73c1, (q15_t)0xda5a, (q15_t)0x73ba, (q15_t)0xda4f, (q15_t)0x73b2, (q15_t)0xda45, (q15_t)0x73ab, (q15_t)0xda3b,
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+    (q15_t)0x7255, (q15_t)0xd878, (q15_t)0x724e, (q15_t)0xd86f, (q15_t)0x7246, (q15_t)0xd865, (q15_t)0x723e, (q15_t)0xd85b,
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+    (q15_t)0x71d8, (q15_t)0xd7db, (q15_t)0x71d0, (q15_t)0xd7d1, (q15_t)0x71c8, (q15_t)0xd7c8, (q15_t)0x71c0, (q15_t)0xd7be,
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+    (q15_t)0x6d88, (q15_t)0xd306, (q15_t)0x6d7f, (q15_t)0xd2fd, (q15_t)0x6d76, (q15_t)0xd2f4, (q15_t)0x6d6e, (q15_t)0xd2eb,
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+    (q15_t)0x6cfa, (q15_t)0xd278, (q15_t)0x6cf1, (q15_t)0xd26f, (q15_t)0x6ce8, (q15_t)0xd266, (q15_t)0x6cdf, (q15_t)0xd25d,
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+    (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,
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+    (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,
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+    (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/fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_rfft_init_q31.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_rfft_init_q31.c
new file mode 100644
index 0000000..04369ed
--- /dev/null
+++ b/fw/hid-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,
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+    (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,
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+    (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,
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+    (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,
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+    (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,
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+    (q31_t)0x5efbf58, (q31_t)0xe514bdad, (q31_t)0x5ea775e, (q31_t)0xe52024c9,
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+    (q31_t)0x5daace1, (q31_t)0xe5426051, (q31_t)0x5d56ddd, (q31_t)0xe54dcb8f,
+    (q31_t)0x5d03118, (q31_t)0xe55937d5, (q31_t)0x5caf690, (q31_t)0xe564a521,
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+    (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,
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+    (q31_t)0x54b1ab4, (q31_t)0xe6839a7c, (q31_t)0x5461ac6, (q31_t)0xe68f21e5,
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+    (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,
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+    (q31_t)0x4a617a6, (q31_t)0xe80db22d, (q31_t)0x4a1651c, (q31_t)0xe81959f4,
+    (q31_t)0x49cb4dd, (q31_t)0xe82502a7, (q31_t)0x49806e7, (q31_t)0xe830ac45,
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+    (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,
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+    (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,
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+    (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,
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+    (q31_t)0x60bbe7d8, (q31_t)0x36fecd0e, (q31_t)0x60c6b395, (q31_t)0x36f85e9a,
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+    (q31_t)0x61122240, (q31_t)0x36cb1e2a, (q31_t)0x611ce3d5, (q31_t)0x36c49ec9,
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+    (q31_t)0x6212e492, (q31_t)0x362ce855, (q31_t)0x621d8711, (q31_t)0x3626368d,
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+    (q31_t)0x62529fca, (q31_t)0x36049e5b, (q31_t)0x625d3a5e, (q31_t)0x35fde011,
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+    (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,
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+    (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/fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_rfft_q15.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_rfft_q15.c
new file mode 100644
index 0000000..8a888f4
--- /dev/null
+++ b/fw/hid-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/fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_rfft_q31.c b/fw/hid-dials/Drivers/CMSIS/DSP/Source/TransformFunctions/arm_rfft_q31.c
new file mode 100644
index 0000000..d21b964
--- /dev/null
+++ b/fw/hid-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