diff options
Diffstat (limited to 'DSP_Lib/Source/CommonTables')
| -rw-r--r-- | DSP_Lib/Source/CommonTables/arm_common_tables.c | 27251 | ||||
| -rw-r--r-- | DSP_Lib/Source/CommonTables/arm_const_structs.c | 156 |
2 files changed, 27407 insertions, 0 deletions
diff --git a/DSP_Lib/Source/CommonTables/arm_common_tables.c b/DSP_Lib/Source/CommonTables/arm_common_tables.c new file mode 100644 index 0000000..79fe976 --- /dev/null +++ b/DSP_Lib/Source/CommonTables/arm_common_tables.c @@ -0,0 +1,27251 @@ +/* ---------------------------------------------------------------------- +* Copyright (C) 2010-2014 ARM Limited. All rights reserved. +* +* $Date: 19. March 2015 +* $Revision: V.1.4.5 +* +* Project: CMSIS DSP Library +* Title: arm_common_tables.c +* +* Description: This file has common tables like fft twiddle factors, Bitreverse, reciprocal etc which are used across different functions +* +* Target Processor: Cortex-M4/Cortex-M3/Cortex-M0 +* +* Redistribution and use in source and binary forms, with or without +* modification, are permitted provided that the following conditions +* are met: +* - Redistributions of source code must retain the above copyright +* notice, this list of conditions and the following disclaimer. +* - Redistributions in binary form must reproduce the above copyright +* notice, this list of conditions and the following disclaimer in +* the documentation and/or other materials provided with the +* distribution. +* - Neither the name of ARM LIMITED nor the names of its contributors +* may be used to endorse or promote products derived from this +* software without specific prior written permission. +* +* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +* POSSIBILITY OF SUCH DAMAGE. +* -------------------------------------------------------------------- */ + + +#include "arm_math.h" +#include "arm_common_tables.h" + +/** + * @ingroup groupTransforms + */ + +/** + * @addtogroup CFFT_CIFFT Complex FFT Tables + * @{ + */ + +/** +* \par +* Pseudo code for Generation of Bit reversal Table is +* \par +* <pre>for(l=1;l <= N/4;l++) +* { +* for(i=0;i<logN2;i++) +* { +* a[i]=l&(1<<i); +* } +* for(j=0; j<logN2; j++) +* { +* if (a[j]!=0) +* y[l]+=(1<<((logN2-1)-j)); +* } +* y[l] = y[l] >> 1; +* } </pre> +* \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 +* <pre>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); +* } </pre> +* \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 +* <pre>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); +* } </pre> +* \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 +* <pre>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); +* } </pre> +* \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 +* <pre>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); +* } </pre> +* \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 +* <pre>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); +* } </pre> +* \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, + 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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 +* <pre>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); +* } </pre> +* \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, + 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-0.242980180f, + 0.972939952f, -0.231058108f, + 0.975702130f, -0.219101240f, + 0.978317371f, -0.207111376f, + 0.980785280f, -0.195090322f, + 0.983105487f, -0.183039888f, + 0.985277642f, -0.170961889f, + 0.987301418f, -0.158858143f, + 0.989176510f, -0.146730474f, + 0.990902635f, -0.134580709f, + 0.992479535f, -0.122410675f, + 0.993906970f, -0.110222207f, + 0.995184727f, -0.098017140f, + 0.996312612f, -0.085797312f, + 0.997290457f, -0.073564564f, + 0.998118113f, -0.061320736f, + 0.998795456f, -0.049067674f, + 0.999322385f, -0.036807223f, + 0.999698819f, -0.024541229f, + 0.999924702f, -0.012271538f +}; +/** +* \par +* Example code for Floating-point Twiddle factors Generation: +* \par +* <pre>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); +* } </pre> +* \par +* where N = 1024 and PI = 3.14159265358979 +* \par +* Cos and Sin values are in interleaved fashion +* +*/ +const float32_t twiddleCoef_1024[2048] = { 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+0.999981175f , -0.006135885f +}; + +/** +* \par +* Example code for Floating-point Twiddle factors Generation: +* \par +* <pre>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); +* } </pre> +* \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, + 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-0.046003182f, + 0.999077728f, -0.042938257f, + 0.999204759f, -0.039872928f, + 0.999322385f, -0.036807223f, + 0.999430605f, -0.033741172f, + 0.999529418f, -0.030674803f, + 0.999618822f, -0.027608146f, + 0.999698819f, -0.024541229f, + 0.999769405f, -0.021474080f, + 0.999830582f, -0.018406730f, + 0.999882347f, -0.015339206f, + 0.999924702f, -0.012271538f, + 0.999957645f, -0.009203755f, + 0.999981175f, -0.006135885f, + 0.999995294f, -0.003067957f +}; + +/** +* \par +* Example code for Floating-point Twiddle factors Generation: +* \par +* <pre>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); +* } </pre> +* \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, + 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0.995625256f, -0.093436336f, + 0.995767414f, -0.091908956f, + 0.995907229f, -0.090381361f, + 0.996044701f, -0.088853553f, + 0.996179829f, -0.087325535f, + 0.996312612f, -0.085797312f, + 0.996443051f, -0.084268888f, + 0.996571146f, -0.082740265f, + 0.996696895f, -0.081211447f, + 0.996820299f, -0.079682438f, + 0.996941358f, -0.078153242f, + 0.997060070f, -0.076623861f, + 0.997176437f, -0.075094301f, + 0.997290457f, -0.073564564f, + 0.997402130f, -0.072034653f, + 0.997511456f, -0.070504573f, + 0.997618435f, -0.068974328f, + 0.997723067f, -0.067443920f, + 0.997825350f, -0.065913353f, + 0.997925286f, -0.064382631f, + 0.998022874f, -0.062851758f, + 0.998118113f, -0.061320736f, + 0.998211003f, -0.059789571f, + 0.998301545f, -0.058258265f, + 0.998389737f, -0.056726821f, + 0.998475581f, -0.055195244f, + 0.998559074f, -0.053663538f, + 0.998640218f, -0.052131705f, + 0.998719012f, -0.050599749f, + 0.998795456f, -0.049067674f, + 0.998869550f, -0.047535484f, + 0.998941293f, -0.046003182f, + 0.999010686f, -0.044470772f, + 0.999077728f, -0.042938257f, + 0.999142419f, -0.041405641f, + 0.999204759f, -0.039872928f, + 0.999264747f, -0.038340120f, + 0.999322385f, -0.036807223f, + 0.999377670f, -0.035274239f, + 0.999430605f, -0.033741172f, + 0.999481187f, -0.032208025f, + 0.999529418f, -0.030674803f, + 0.999575296f, -0.029141509f, + 0.999618822f, -0.027608146f, + 0.999659997f, -0.026074718f, + 0.999698819f, -0.024541229f, + 0.999735288f, -0.023007681f, + 0.999769405f, -0.021474080f, + 0.999801170f, -0.019940429f, + 0.999830582f, -0.018406730f, + 0.999857641f, -0.016872988f, + 0.999882347f, -0.015339206f, + 0.999904701f, -0.013805389f, + 0.999924702f, -0.012271538f, + 0.999942350f, -0.010737659f, + 0.999957645f, -0.009203755f, + 0.999970586f, -0.007669829f, + 0.999981175f, -0.006135885f, + 0.999989411f, -0.004601926f, + 0.999995294f, -0.003067957f, + 0.999998823f, -0.001533980f +}; + +/* +* @brief Q31 Twiddle factors Table +*/ + + +/** +* \par +* Example code for Q31 Twiddle factors Generation:: +* \par +* <pre>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); +* } </pre> +* \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] = { + 0x7FFFFFFF, 0x00000000, + 0x7641AF3C, 0x30FBC54D, + 0x5A82799A, 0x5A82799A, + 0x30FBC54D, 0x7641AF3C, + 0x00000000, 0x7FFFFFFF, + 0xCF043AB2, 0x7641AF3C, + 0xA57D8666, 0x5A82799A, + 0x89BE50C3, 0x30FBC54D, + 0x80000000, 0x00000000, + 0x89BE50C3, 0xCF043AB2, + 0xA57D8666, 0xA57D8666, + 0xCF043AB2, 0x89BE50C3 +}; + +/** +* \par +* Example code for Q31 Twiddle factors Generation:: +* \par +* <pre>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); +* } </pre> +* \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] = { + 0x7FFFFFFF, 0x00000000, + 0x7D8A5F3F, 0x18F8B83C, + 0x7641AF3C, 0x30FBC54D, + 0x6A6D98A4, 0x471CECE6, + 0x5A82799A, 0x5A82799A, + 0x471CECE6, 0x6A6D98A4, + 0x30FBC54D, 0x7641AF3C, + 0x18F8B83C, 0x7D8A5F3F, + 0x00000000, 0x7FFFFFFF, + 0xE70747C3, 0x7D8A5F3F, + 0xCF043AB2, 0x7641AF3C, + 0xB8E31319, 0x6A6D98A4, + 0xA57D8666, 0x5A82799A, + 0x9592675B, 0x471CECE6, + 0x89BE50C3, 0x30FBC54D, + 0x8275A0C0, 0x18F8B83C, + 0x80000000, 0x00000000, + 0x8275A0C0, 0xE70747C3, + 0x89BE50C3, 0xCF043AB2, + 0x9592675B, 0xB8E31319, + 0xA57D8666, 0xA57D8666, + 0xB8E31319, 0x9592675B, + 0xCF043AB2, 0x89BE50C3, + 0xE70747C3, 0x8275A0C0 +}; + +/** +* \par +* Example code for Q31 Twiddle factors Generation:: +* \par +* <pre>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); +* } </pre> +* \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] = { + 0x7FFFFFFF, 0x00000000, + 0x7F62368F, 0x0C8BD35E, + 0x7D8A5F3F, 0x18F8B83C, + 0x7A7D055B, 0x25280C5D, + 0x7641AF3C, 0x30FBC54D, + 0x70E2CBC6, 0x3C56BA70, + 0x6A6D98A4, 0x471CECE6, + 0x62F201AC, 0x5133CC94, + 0x5A82799A, 0x5A82799A, + 0x5133CC94, 0x62F201AC, + 0x471CECE6, 0x6A6D98A4, + 0x3C56BA70, 0x70E2CBC6, + 0x30FBC54D, 0x7641AF3C, + 0x25280C5D, 0x7A7D055B, + 0x18F8B83C, 0x7D8A5F3F, + 0x0C8BD35E, 0x7F62368F, + 0x00000000, 0x7FFFFFFF, + 0xF3742CA1, 0x7F62368F, + 0xE70747C3, 0x7D8A5F3F, + 0xDAD7F3A2, 0x7A7D055B, + 0xCF043AB2, 0x7641AF3C, + 0xC3A9458F, 0x70E2CBC6, + 0xB8E31319, 0x6A6D98A4, + 0xAECC336B, 0x62F201AC, + 0xA57D8666, 0x5A82799A, + 0x9D0DFE53, 0x5133CC94, + 0x9592675B, 0x471CECE6, + 0x8F1D343A, 0x3C56BA70, + 0x89BE50C3, 0x30FBC54D, + 0x8582FAA4, 0x25280C5D, + 0x8275A0C0, 0x18F8B83C, + 0x809DC970, 0x0C8BD35E, + 0x80000000, 0x00000000, + 0x809DC970, 0xF3742CA1, + 0x8275A0C0, 0xE70747C3, + 0x8582FAA4, 0xDAD7F3A2, + 0x89BE50C3, 0xCF043AB2, + 0x8F1D343A, 0xC3A9458F, + 0x9592675B, 0xB8E31319, + 0x9D0DFE53, 0xAECC336B, + 0xA57D8666, 0xA57D8666, + 0xAECC336B, 0x9D0DFE53, + 0xB8E31319, 0x9592675B, + 0xC3A9458F, 0x8F1D343A, + 0xCF043AB2, 0x89BE50C3, + 0xDAD7F3A2, 0x8582FAA4, + 0xE70747C3, 0x8275A0C0, + 0xF3742CA1, 0x809DC970 +}; + +/** +* \par +* Example code for Q31 Twiddle factors Generation:: +* \par +* <pre>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); +* } </pre> +* \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] = { + 0x7FFFFFFF, 0x00000000, + 0x7FD8878D, 0x0647D97C, + 0x7F62368F, 0x0C8BD35E, + 0x7E9D55FC, 0x12C8106E, + 0x7D8A5F3F, 0x18F8B83C, + 0x7C29FBEE, 0x1F19F97B, + 0x7A7D055B, 0x25280C5D, + 0x78848413, 0x2B1F34EB, + 0x7641AF3C, 0x30FBC54D, + 0x73B5EBD0, 0x36BA2013, + 0x70E2CBC6, 0x3C56BA70, + 0x6DCA0D14, 0x41CE1E64, + 0x6A6D98A4, 0x471CECE6, + 0x66CF811F, 0x4C3FDFF3, + 0x62F201AC, 0x5133CC94, + 0x5ED77C89, 0x55F5A4D2, + 0x5A82799A, 0x5A82799A, + 0x55F5A4D2, 0x5ED77C89, + 0x5133CC94, 0x62F201AC, + 0x4C3FDFF3, 0x66CF811F, + 0x471CECE6, 0x6A6D98A4, + 0x41CE1E64, 0x6DCA0D14, + 0x3C56BA70, 0x70E2CBC6, + 0x36BA2013, 0x73B5EBD0, + 0x30FBC54D, 0x7641AF3C, + 0x2B1F34EB, 0x78848413, + 0x25280C5D, 0x7A7D055B, + 0x1F19F97B, 0x7C29FBEE, + 0x18F8B83C, 0x7D8A5F3F, + 0x12C8106E, 0x7E9D55FC, + 0x0C8BD35E, 0x7F62368F, + 0x0647D97C, 0x7FD8878D, + 0x00000000, 0x7FFFFFFF, + 0xF9B82683, 0x7FD8878D, + 0xF3742CA1, 0x7F62368F, + 0xED37EF91, 0x7E9D55FC, + 0xE70747C3, 0x7D8A5F3F, + 0xE0E60684, 0x7C29FBEE, + 0xDAD7F3A2, 0x7A7D055B, + 0xD4E0CB14, 0x78848413, + 0xCF043AB2, 0x7641AF3C, + 0xC945DFEC, 0x73B5EBD0, + 0xC3A9458F, 0x70E2CBC6, + 0xBE31E19B, 0x6DCA0D14, + 0xB8E31319, 0x6A6D98A4, + 0xB3C0200C, 0x66CF811F, + 0xAECC336B, 0x62F201AC, + 0xAA0A5B2D, 0x5ED77C89, + 0xA57D8666, 0x5A82799A, + 0xA1288376, 0x55F5A4D2, + 0x9D0DFE53, 0x5133CC94, + 0x99307EE0, 0x4C3FDFF3, + 0x9592675B, 0x471CECE6, + 0x9235F2EB, 0x41CE1E64, + 0x8F1D343A, 0x3C56BA70, + 0x8C4A142F, 0x36BA2013, + 0x89BE50C3, 0x30FBC54D, + 0x877B7BEC, 0x2B1F34EB, + 0x8582FAA4, 0x25280C5D, + 0x83D60411, 0x1F19F97B, + 0x8275A0C0, 0x18F8B83C, + 0x8162AA03, 0x12C8106E, + 0x809DC970, 0x0C8BD35E, + 0x80277872, 0x0647D97C, + 0x80000000, 0x00000000, + 0x80277872, 0xF9B82683, + 0x809DC970, 0xF3742CA1, + 0x8162AA03, 0xED37EF91, + 0x8275A0C0, 0xE70747C3, + 0x83D60411, 0xE0E60684, + 0x8582FAA4, 0xDAD7F3A2, + 0x877B7BEC, 0xD4E0CB14, + 0x89BE50C3, 0xCF043AB2, + 0x8C4A142F, 0xC945DFEC, + 0x8F1D343A, 0xC3A9458F, + 0x9235F2EB, 0xBE31E19B, + 0x9592675B, 0xB8E31319, + 0x99307EE0, 0xB3C0200C, + 0x9D0DFE53, 0xAECC336B, + 0xA1288376, 0xAA0A5B2D, + 0xA57D8666, 0xA57D8666, + 0xAA0A5B2D, 0xA1288376, + 0xAECC336B, 0x9D0DFE53, + 0xB3C0200C, 0x99307EE0, + 0xB8E31319, 0x9592675B, + 0xBE31E19B, 0x9235F2EB, + 0xC3A9458F, 0x8F1D343A, + 0xC945DFEC, 0x8C4A142F, + 0xCF043AB2, 0x89BE50C3, + 0xD4E0CB14, 0x877B7BEC, + 0xDAD7F3A2, 0x8582FAA4, + 0xE0E60684, 0x83D60411, + 0xE70747C3, 0x8275A0C0, + 0xED37EF91, 0x8162AA03, + 0xF3742CA1, 0x809DC970, + 0xF9B82683, 0x80277872 +}; + +/** +* \par +* Example code for Q31 Twiddle factors Generation:: +* \par +* <pre>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); +* } </pre> +* \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] = { + 0x7FFFFFFF, 0x00000000, + 0x7FF62182, 0x03242ABF, + 0x7FD8878D, 0x0647D97C, + 0x7FA736B4, 0x096A9049, + 0x7F62368F, 0x0C8BD35E, + 0x7F0991C3, 0x0FAB272B, + 0x7E9D55FC, 0x12C8106E, + 0x7E1D93E9, 0x15E21444, + 0x7D8A5F3F, 0x18F8B83C, + 0x7CE3CEB1, 0x1C0B826A, + 0x7C29FBEE, 0x1F19F97B, + 0x7B5D039D, 0x2223A4C5, + 0x7A7D055B, 0x25280C5D, + 0x798A23B1, 0x2826B928, + 0x78848413, 0x2B1F34EB, + 0x776C4EDB, 0x2E110A62, + 0x7641AF3C, 0x30FBC54D, + 0x7504D345, 0x33DEF287, + 0x73B5EBD0, 0x36BA2013, + 0x72552C84, 0x398CDD32, + 0x70E2CBC6, 0x3C56BA70, + 0x6F5F02B1, 0x3F1749B7, + 0x6DCA0D14, 0x41CE1E64, + 0x6C242960, 0x447ACD50, + 0x6A6D98A4, 0x471CECE6, + 0x68A69E81, 0x49B41533, + 0x66CF811F, 0x4C3FDFF3, + 0x64E88926, 0x4EBFE8A4, + 0x62F201AC, 0x5133CC94, + 0x60EC3830, 0x539B2AEF, + 0x5ED77C89, 0x55F5A4D2, + 0x5CB420DF, 0x5842DD54, + 0x5A82799A, 0x5A82799A, + 0x5842DD54, 0x5CB420DF, + 0x55F5A4D2, 0x5ED77C89, + 0x539B2AEF, 0x60EC3830, + 0x5133CC94, 0x62F201AC, + 0x4EBFE8A4, 0x64E88926, + 0x4C3FDFF3, 0x66CF811F, + 0x49B41533, 0x68A69E81, + 0x471CECE6, 0x6A6D98A4, + 0x447ACD50, 0x6C242960, + 0x41CE1E64, 0x6DCA0D14, + 0x3F1749B7, 0x6F5F02B1, + 0x3C56BA70, 0x70E2CBC6, + 0x398CDD32, 0x72552C84, + 0x36BA2013, 0x73B5EBD0, + 0x33DEF287, 0x7504D345, + 0x30FBC54D, 0x7641AF3C, + 0x2E110A62, 0x776C4EDB, + 0x2B1F34EB, 0x78848413, + 0x2826B928, 0x798A23B1, + 0x25280C5D, 0x7A7D055B, + 0x2223A4C5, 0x7B5D039D, + 0x1F19F97B, 0x7C29FBEE, + 0x1C0B826A, 0x7CE3CEB1, + 0x18F8B83C, 0x7D8A5F3F, + 0x15E21444, 0x7E1D93E9, + 0x12C8106E, 0x7E9D55FC, + 0x0FAB272B, 0x7F0991C3, + 0x0C8BD35E, 0x7F62368F, + 0x096A9049, 0x7FA736B4, + 0x0647D97C, 0x7FD8878D, + 0x03242ABF, 0x7FF62182, + 0x00000000, 0x7FFFFFFF, + 0xFCDBD541, 0x7FF62182, + 0xF9B82683, 0x7FD8878D, + 0xF6956FB6, 0x7FA736B4, + 0xF3742CA1, 0x7F62368F, + 0xF054D8D4, 0x7F0991C3, + 0xED37EF91, 0x7E9D55FC, + 0xEA1DEBBB, 0x7E1D93E9, + 0xE70747C3, 0x7D8A5F3F, + 0xE3F47D95, 0x7CE3CEB1, + 0xE0E60684, 0x7C29FBEE, + 0xDDDC5B3A, 0x7B5D039D, + 0xDAD7F3A2, 0x7A7D055B, + 0xD7D946D7, 0x798A23B1, + 0xD4E0CB14, 0x78848413, + 0xD1EEF59E, 0x776C4EDB, + 0xCF043AB2, 0x7641AF3C, + 0xCC210D78, 0x7504D345, + 0xC945DFEC, 0x73B5EBD0, + 0xC67322CD, 0x72552C84, + 0xC3A9458F, 0x70E2CBC6, + 0xC0E8B648, 0x6F5F02B1, + 0xBE31E19B, 0x6DCA0D14, + 0xBB8532AF, 0x6C242960, + 0xB8E31319, 0x6A6D98A4, + 0xB64BEACC, 0x68A69E81, + 0xB3C0200C, 0x66CF811F, + 0xB140175B, 0x64E88926, + 0xAECC336B, 0x62F201AC, + 0xAC64D510, 0x60EC3830, + 0xAA0A5B2D, 0x5ED77C89, + 0xA7BD22AB, 0x5CB420DF, + 0xA57D8666, 0x5A82799A, + 0xA34BDF20, 0x5842DD54, + 0xA1288376, 0x55F5A4D2, + 0x9F13C7D0, 0x539B2AEF, + 0x9D0DFE53, 0x5133CC94, + 0x9B1776D9, 0x4EBFE8A4, + 0x99307EE0, 0x4C3FDFF3, + 0x9759617E, 0x49B41533, + 0x9592675B, 0x471CECE6, + 0x93DBD69F, 0x447ACD50, + 0x9235F2EB, 0x41CE1E64, + 0x90A0FD4E, 0x3F1749B7, + 0x8F1D343A, 0x3C56BA70, + 0x8DAAD37B, 0x398CDD32, + 0x8C4A142F, 0x36BA2013, + 0x8AFB2CBA, 0x33DEF287, + 0x89BE50C3, 0x30FBC54D, + 0x8893B124, 0x2E110A62, + 0x877B7BEC, 0x2B1F34EB, + 0x8675DC4E, 0x2826B928, + 0x8582FAA4, 0x25280C5D, + 0x84A2FC62, 0x2223A4C5, + 0x83D60411, 0x1F19F97B, + 0x831C314E, 0x1C0B826A, + 0x8275A0C0, 0x18F8B83C, + 0x81E26C16, 0x15E21444, + 0x8162AA03, 0x12C8106E, + 0x80F66E3C, 0x0FAB272B, + 0x809DC970, 0x0C8BD35E, + 0x8058C94C, 0x096A9049, + 0x80277872, 0x0647D97C, + 0x8009DE7D, 0x03242ABF, + 0x80000000, 0x00000000, + 0x8009DE7D, 0xFCDBD541, + 0x80277872, 0xF9B82683, + 0x8058C94C, 0xF6956FB6, + 0x809DC970, 0xF3742CA1, + 0x80F66E3C, 0xF054D8D4, + 0x8162AA03, 0xED37EF91, + 0x81E26C16, 0xEA1DEBBB, + 0x8275A0C0, 0xE70747C3, + 0x831C314E, 0xE3F47D95, + 0x83D60411, 0xE0E60684, + 0x84A2FC62, 0xDDDC5B3A, + 0x8582FAA4, 0xDAD7F3A2, + 0x8675DC4E, 0xD7D946D7, + 0x877B7BEC, 0xD4E0CB14, + 0x8893B124, 0xD1EEF59E, + 0x89BE50C3, 0xCF043AB2, + 0x8AFB2CBA, 0xCC210D78, + 0x8C4A142F, 0xC945DFEC, + 0x8DAAD37B, 0xC67322CD, + 0x8F1D343A, 0xC3A9458F, + 0x90A0FD4E, 0xC0E8B648, + 0x9235F2EB, 0xBE31E19B, + 0x93DBD69F, 0xBB8532AF, + 0x9592675B, 0xB8E31319, + 0x9759617E, 0xB64BEACC, + 0x99307EE0, 0xB3C0200C, + 0x9B1776D9, 0xB140175B, + 0x9D0DFE53, 0xAECC336B, + 0x9F13C7D0, 0xAC64D510, + 0xA1288376, 0xAA0A5B2D, + 0xA34BDF20, 0xA7BD22AB, + 0xA57D8666, 0xA57D8666, + 0xA7BD22AB, 0xA34BDF20, + 0xAA0A5B2D, 0xA1288376, + 0xAC64D510, 0x9F13C7D0, + 0xAECC336B, 0x9D0DFE53, + 0xB140175B, 0x9B1776D9, + 0xB3C0200C, 0x99307EE0, + 0xB64BEACC, 0x9759617E, + 0xB8E31319, 0x9592675B, + 0xBB8532AF, 0x93DBD69F, + 0xBE31E19B, 0x9235F2EB, + 0xC0E8B648, 0x90A0FD4E, + 0xC3A9458F, 0x8F1D343A, + 0xC67322CD, 0x8DAAD37B, + 0xC945DFEC, 0x8C4A142F, + 0xCC210D78, 0x8AFB2CBA, + 0xCF043AB2, 0x89BE50C3, + 0xD1EEF59E, 0x8893B124, + 0xD4E0CB14, 0x877B7BEC, + 0xD7D946D7, 0x8675DC4E, + 0xDAD7F3A2, 0x8582FAA4, + 0xDDDC5B3A, 0x84A2FC62, + 0xE0E60684, 0x83D60411, + 0xE3F47D95, 0x831C314E, + 0xE70747C3, 0x8275A0C0, + 0xEA1DEBBB, 0x81E26C16, + 0xED37EF91, 0x8162AA03, + 0xF054D8D4, 0x80F66E3C, + 0xF3742CA1, 0x809DC970, + 0xF6956FB6, 0x8058C94C, + 0xF9B82683, 0x80277872, + 0xFCDBD541, 0x8009DE7D +}; + +/** +* \par +* Example code for Q31 Twiddle factors Generation:: +* \par +* <pre>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); +* } </pre> +* \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] = { + 0x7FFFFFFF, 0x00000000, + 0x7FFD885A, 0x01921D1F, + 0x7FF62182, 0x03242ABF, + 0x7FE9CBC0, 0x04B6195D, + 0x7FD8878D, 0x0647D97C, + 0x7FC25596, 0x07D95B9E, + 0x7FA736B4, 0x096A9049, + 0x7F872BF3, 0x0AFB6805, + 0x7F62368F, 0x0C8BD35E, + 0x7F3857F5, 0x0E1BC2E3, + 0x7F0991C3, 0x0FAB272B, + 0x7ED5E5C6, 0x1139F0CE, + 0x7E9D55FC, 0x12C8106E, + 0x7E5FE493, 0x145576B1, + 0x7E1D93E9, 0x15E21444, + 0x7DD6668E, 0x176DD9DE, + 0x7D8A5F3F, 0x18F8B83C, + 0x7D3980EC, 0x1A82A025, + 0x7CE3CEB1, 0x1C0B826A, + 0x7C894BDD, 0x1D934FE5, + 0x7C29FBEE, 0x1F19F97B, + 0x7BC5E28F, 0x209F701C, + 0x7B5D039D, 0x2223A4C5, + 0x7AEF6323, 0x23A6887E, + 0x7A7D055B, 0x25280C5D, + 0x7A05EEAD, 0x26A82185, + 0x798A23B1, 0x2826B928, + 0x7909A92C, 0x29A3C484, + 0x78848413, 0x2B1F34EB, + 0x77FAB988, 0x2C98FBBA, + 0x776C4EDB, 0x2E110A62, + 0x76D94988, 0x2F875262, + 0x7641AF3C, 0x30FBC54D, + 0x75A585CF, 0x326E54C7, + 0x7504D345, 0x33DEF287, + 0x745F9DD1, 0x354D9056, + 0x73B5EBD0, 0x36BA2013, + 0x7307C3D0, 0x382493B0, + 0x72552C84, 0x398CDD32, + 0x719E2CD2, 0x3AF2EEB7, + 0x70E2CBC6, 0x3C56BA70, + 0x70231099, 0x3DB832A5, + 0x6F5F02B1, 0x3F1749B7, + 0x6E96A99C, 0x4073F21D, + 0x6DCA0D14, 0x41CE1E64, + 0x6CF934FB, 0x4325C135, + 0x6C242960, 0x447ACD50, + 0x6B4AF278, 0x45CD358F, + 0x6A6D98A4, 0x471CECE6, + 0x698C246C, 0x4869E664, + 0x68A69E81, 0x49B41533, + 0x67BD0FBC, 0x4AFB6C97, + 0x66CF811F, 0x4C3FDFF3, + 0x65DDFBD3, 0x4D8162C4, + 0x64E88926, 0x4EBFE8A4, + 0x63EF328F, 0x4FFB654D, + 0x62F201AC, 0x5133CC94, + 0x61F1003E, 0x5269126E, + 0x60EC3830, 0x539B2AEF, + 0x5FE3B38D, 0x54CA0A4A, + 0x5ED77C89, 0x55F5A4D2, + 0x5DC79D7C, 0x571DEEF9, + 0x5CB420DF, 0x5842DD54, + 0x5B9D1153, 0x59646497, + 0x5A82799A, 0x5A82799A, + 0x59646497, 0x5B9D1153, + 0x5842DD54, 0x5CB420DF, + 0x571DEEF9, 0x5DC79D7C, + 0x55F5A4D2, 0x5ED77C89, + 0x54CA0A4A, 0x5FE3B38D, + 0x539B2AEF, 0x60EC3830, + 0x5269126E, 0x61F1003E, + 0x5133CC94, 0x62F201AC, + 0x4FFB654D, 0x63EF328F, + 0x4EBFE8A4, 0x64E88926, + 0x4D8162C4, 0x65DDFBD3, + 0x4C3FDFF3, 0x66CF811F, + 0x4AFB6C97, 0x67BD0FBC, + 0x49B41533, 0x68A69E81, + 0x4869E664, 0x698C246C, + 0x471CECE6, 0x6A6D98A4, + 0x45CD358F, 0x6B4AF278, + 0x447ACD50, 0x6C242960, + 0x4325C135, 0x6CF934FB, + 0x41CE1E64, 0x6DCA0D14, + 0x4073F21D, 0x6E96A99C, + 0x3F1749B7, 0x6F5F02B1, + 0x3DB832A5, 0x70231099, + 0x3C56BA70, 0x70E2CBC6, + 0x3AF2EEB7, 0x719E2CD2, + 0x398CDD32, 0x72552C84, + 0x382493B0, 0x7307C3D0, + 0x36BA2013, 0x73B5EBD0, + 0x354D9056, 0x745F9DD1, + 0x33DEF287, 0x7504D345, + 0x326E54C7, 0x75A585CF, + 0x30FBC54D, 0x7641AF3C, + 0x2F875262, 0x76D94988, + 0x2E110A62, 0x776C4EDB, + 0x2C98FBBA, 0x77FAB988, + 0x2B1F34EB, 0x78848413, + 0x29A3C484, 0x7909A92C, + 0x2826B928, 0x798A23B1, + 0x26A82185, 0x7A05EEAD, + 0x25280C5D, 0x7A7D055B, + 0x23A6887E, 0x7AEF6323, + 0x2223A4C5, 0x7B5D039D, + 0x209F701C, 0x7BC5E28F, + 0x1F19F97B, 0x7C29FBEE, + 0x1D934FE5, 0x7C894BDD, + 0x1C0B826A, 0x7CE3CEB1, + 0x1A82A025, 0x7D3980EC, + 0x18F8B83C, 0x7D8A5F3F, + 0x176DD9DE, 0x7DD6668E, + 0x15E21444, 0x7E1D93E9, + 0x145576B1, 0x7E5FE493, + 0x12C8106E, 0x7E9D55FC, + 0x1139F0CE, 0x7ED5E5C6, + 0x0FAB272B, 0x7F0991C3, + 0x0E1BC2E3, 0x7F3857F5, + 0x0C8BD35E, 0x7F62368F, + 0x0AFB6805, 0x7F872BF3, + 0x096A9049, 0x7FA736B4, + 0x07D95B9E, 0x7FC25596, + 0x0647D97C, 0x7FD8878D, + 0x04B6195D, 0x7FE9CBC0, + 0x03242ABF, 0x7FF62182, + 0x01921D1F, 0x7FFD885A, + 0x00000000, 0x7FFFFFFF, + 0xFE6DE2E0, 0x7FFD885A, + 0xFCDBD541, 0x7FF62182, + 0xFB49E6A2, 0x7FE9CBC0, + 0xF9B82683, 0x7FD8878D, + 0xF826A461, 0x7FC25596, + 0xF6956FB6, 0x7FA736B4, + 0xF50497FA, 0x7F872BF3, + 0xF3742CA1, 0x7F62368F, + 0xF1E43D1C, 0x7F3857F5, + 0xF054D8D4, 0x7F0991C3, + 0xEEC60F31, 0x7ED5E5C6, + 0xED37EF91, 0x7E9D55FC, + 0xEBAA894E, 0x7E5FE493, + 0xEA1DEBBB, 0x7E1D93E9, + 0xE8922621, 0x7DD6668E, + 0xE70747C3, 0x7D8A5F3F, + 0xE57D5FDA, 0x7D3980EC, + 0xE3F47D95, 0x7CE3CEB1, + 0xE26CB01A, 0x7C894BDD, + 0xE0E60684, 0x7C29FBEE, + 0xDF608FE3, 0x7BC5E28F, + 0xDDDC5B3A, 0x7B5D039D, + 0xDC597781, 0x7AEF6323, + 0xDAD7F3A2, 0x7A7D055B, + 0xD957DE7A, 0x7A05EEAD, + 0xD7D946D7, 0x798A23B1, + 0xD65C3B7B, 0x7909A92C, + 0xD4E0CB14, 0x78848413, + 0xD3670445, 0x77FAB988, + 0xD1EEF59E, 0x776C4EDB, + 0xD078AD9D, 0x76D94988, + 0xCF043AB2, 0x7641AF3C, + 0xCD91AB38, 0x75A585CF, + 0xCC210D78, 0x7504D345, + 0xCAB26FA9, 0x745F9DD1, + 0xC945DFEC, 0x73B5EBD0, + 0xC7DB6C50, 0x7307C3D0, + 0xC67322CD, 0x72552C84, + 0xC50D1148, 0x719E2CD2, + 0xC3A9458F, 0x70E2CBC6, + 0xC247CD5A, 0x70231099, + 0xC0E8B648, 0x6F5F02B1, + 0xBF8C0DE2, 0x6E96A99C, + 0xBE31E19B, 0x6DCA0D14, + 0xBCDA3ECA, 0x6CF934FB, + 0xBB8532AF, 0x6C242960, + 0xBA32CA70, 0x6B4AF278, + 0xB8E31319, 0x6A6D98A4, + 0xB796199B, 0x698C246C, + 0xB64BEACC, 0x68A69E81, + 0xB5049368, 0x67BD0FBC, + 0xB3C0200C, 0x66CF811F, + 0xB27E9D3B, 0x65DDFBD3, + 0xB140175B, 0x64E88926, + 0xB0049AB2, 0x63EF328F, + 0xAECC336B, 0x62F201AC, + 0xAD96ED91, 0x61F1003E, + 0xAC64D510, 0x60EC3830, + 0xAB35F5B5, 0x5FE3B38D, + 0xAA0A5B2D, 0x5ED77C89, + 0xA8E21106, 0x5DC79D7C, + 0xA7BD22AB, 0x5CB420DF, + 0xA69B9B68, 0x5B9D1153, + 0xA57D8666, 0x5A82799A, + 0xA462EEAC, 0x59646497, + 0xA34BDF20, 0x5842DD54, + 0xA2386283, 0x571DEEF9, + 0xA1288376, 0x55F5A4D2, + 0xA01C4C72, 0x54CA0A4A, + 0x9F13C7D0, 0x539B2AEF, + 0x9E0EFFC1, 0x5269126E, + 0x9D0DFE53, 0x5133CC94, + 0x9C10CD70, 0x4FFB654D, + 0x9B1776D9, 0x4EBFE8A4, + 0x9A22042C, 0x4D8162C4, + 0x99307EE0, 0x4C3FDFF3, + 0x9842F043, 0x4AFB6C97, + 0x9759617E, 0x49B41533, + 0x9673DB94, 0x4869E664, + 0x9592675B, 0x471CECE6, + 0x94B50D87, 0x45CD358F, + 0x93DBD69F, 0x447ACD50, + 0x9306CB04, 0x4325C135, + 0x9235F2EB, 0x41CE1E64, + 0x91695663, 0x4073F21D, + 0x90A0FD4E, 0x3F1749B7, + 0x8FDCEF66, 0x3DB832A5, + 0x8F1D343A, 0x3C56BA70, + 0x8E61D32D, 0x3AF2EEB7, + 0x8DAAD37B, 0x398CDD32, + 0x8CF83C30, 0x382493B0, + 0x8C4A142F, 0x36BA2013, + 0x8BA0622F, 0x354D9056, + 0x8AFB2CBA, 0x33DEF287, + 0x8A5A7A30, 0x326E54C7, + 0x89BE50C3, 0x30FBC54D, + 0x8926B677, 0x2F875262, + 0x8893B124, 0x2E110A62, + 0x88054677, 0x2C98FBBA, + 0x877B7BEC, 0x2B1F34EB, + 0x86F656D3, 0x29A3C484, + 0x8675DC4E, 0x2826B928, + 0x85FA1152, 0x26A82185, + 0x8582FAA4, 0x25280C5D, + 0x85109CDC, 0x23A6887E, + 0x84A2FC62, 0x2223A4C5, + 0x843A1D70, 0x209F701C, + 0x83D60411, 0x1F19F97B, + 0x8376B422, 0x1D934FE5, + 0x831C314E, 0x1C0B826A, + 0x82C67F13, 0x1A82A025, + 0x8275A0C0, 0x18F8B83C, + 0x82299971, 0x176DD9DE, + 0x81E26C16, 0x15E21444, + 0x81A01B6C, 0x145576B1, + 0x8162AA03, 0x12C8106E, + 0x812A1A39, 0x1139F0CE, + 0x80F66E3C, 0x0FAB272B, + 0x80C7A80A, 0x0E1BC2E3, + 0x809DC970, 0x0C8BD35E, + 0x8078D40D, 0x0AFB6805, + 0x8058C94C, 0x096A9049, + 0x803DAA69, 0x07D95B9E, + 0x80277872, 0x0647D97C, + 0x80163440, 0x04B6195D, + 0x8009DE7D, 0x03242ABF, + 0x800277A5, 0x01921D1F, + 0x80000000, 0x00000000, + 0x800277A5, 0xFE6DE2E0, + 0x8009DE7D, 0xFCDBD541, + 0x80163440, 0xFB49E6A2, + 0x80277872, 0xF9B82683, + 0x803DAA69, 0xF826A461, + 0x8058C94C, 0xF6956FB6, + 0x8078D40D, 0xF50497FA, + 0x809DC970, 0xF3742CA1, + 0x80C7A80A, 0xF1E43D1C, + 0x80F66E3C, 0xF054D8D4, + 0x812A1A39, 0xEEC60F31, + 0x8162AA03, 0xED37EF91, + 0x81A01B6C, 0xEBAA894E, + 0x81E26C16, 0xEA1DEBBB, + 0x82299971, 0xE8922621, + 0x8275A0C0, 0xE70747C3, + 0x82C67F13, 0xE57D5FDA, + 0x831C314E, 0xE3F47D95, + 0x8376B422, 0xE26CB01A, + 0x83D60411, 0xE0E60684, + 0x843A1D70, 0xDF608FE3, + 0x84A2FC62, 0xDDDC5B3A, + 0x85109CDC, 0xDC597781, + 0x8582FAA4, 0xDAD7F3A2, + 0x85FA1152, 0xD957DE7A, + 0x8675DC4E, 0xD7D946D7, + 0x86F656D3, 0xD65C3B7B, + 0x877B7BEC, 0xD4E0CB14, + 0x88054677, 0xD3670445, + 0x8893B124, 0xD1EEF59E, + 0x8926B677, 0xD078AD9D, + 0x89BE50C3, 0xCF043AB2, + 0x8A5A7A30, 0xCD91AB38, + 0x8AFB2CBA, 0xCC210D78, + 0x8BA0622F, 0xCAB26FA9, + 0x8C4A142F, 0xC945DFEC, + 0x8CF83C30, 0xC7DB6C50, + 0x8DAAD37B, 0xC67322CD, + 0x8E61D32D, 0xC50D1148, + 0x8F1D343A, 0xC3A9458F, + 0x8FDCEF66, 0xC247CD5A, + 0x90A0FD4E, 0xC0E8B648, + 0x91695663, 0xBF8C0DE2, + 0x9235F2EB, 0xBE31E19B, + 0x9306CB04, 0xBCDA3ECA, + 0x93DBD69F, 0xBB8532AF, + 0x94B50D87, 0xBA32CA70, + 0x9592675B, 0xB8E31319, + 0x9673DB94, 0xB796199B, + 0x9759617E, 0xB64BEACC, + 0x9842F043, 0xB5049368, + 0x99307EE0, 0xB3C0200C, + 0x9A22042C, 0xB27E9D3B, + 0x9B1776D9, 0xB140175B, + 0x9C10CD70, 0xB0049AB2, + 0x9D0DFE53, 0xAECC336B, + 0x9E0EFFC1, 0xAD96ED91, + 0x9F13C7D0, 0xAC64D510, + 0xA01C4C72, 0xAB35F5B5, + 0xA1288376, 0xAA0A5B2D, + 0xA2386283, 0xA8E21106, + 0xA34BDF20, 0xA7BD22AB, + 0xA462EEAC, 0xA69B9B68, + 0xA57D8666, 0xA57D8666, + 0xA69B9B68, 0xA462EEAC, + 0xA7BD22AB, 0xA34BDF20, + 0xA8E21106, 0xA2386283, + 0xAA0A5B2D, 0xA1288376, + 0xAB35F5B5, 0xA01C4C72, + 0xAC64D510, 0x9F13C7D0, + 0xAD96ED91, 0x9E0EFFC1, + 0xAECC336B, 0x9D0DFE53, + 0xB0049AB2, 0x9C10CD70, + 0xB140175B, 0x9B1776D9, + 0xB27E9D3B, 0x9A22042C, + 0xB3C0200C, 0x99307EE0, + 0xB5049368, 0x9842F043, + 0xB64BEACC, 0x9759617E, + 0xB796199B, 0x9673DB94, + 0xB8E31319, 0x9592675B, + 0xBA32CA70, 0x94B50D87, + 0xBB8532AF, 0x93DBD69F, + 0xBCDA3ECA, 0x9306CB04, + 0xBE31E19B, 0x9235F2EB, + 0xBF8C0DE2, 0x91695663, + 0xC0E8B648, 0x90A0FD4E, + 0xC247CD5A, 0x8FDCEF66, + 0xC3A9458F, 0x8F1D343A, + 0xC50D1148, 0x8E61D32D, + 0xC67322CD, 0x8DAAD37B, + 0xC7DB6C50, 0x8CF83C30, + 0xC945DFEC, 0x8C4A142F, + 0xCAB26FA9, 0x8BA0622F, + 0xCC210D78, 0x8AFB2CBA, + 0xCD91AB38, 0x8A5A7A30, + 0xCF043AB2, 0x89BE50C3, + 0xD078AD9D, 0x8926B677, + 0xD1EEF59E, 0x8893B124, + 0xD3670445, 0x88054677, + 0xD4E0CB14, 0x877B7BEC, + 0xD65C3B7B, 0x86F656D3, + 0xD7D946D7, 0x8675DC4E, + 0xD957DE7A, 0x85FA1152, + 0xDAD7F3A2, 0x8582FAA4, + 0xDC597781, 0x85109CDC, + 0xDDDC5B3A, 0x84A2FC62, + 0xDF608FE3, 0x843A1D70, + 0xE0E60684, 0x83D60411, + 0xE26CB01A, 0x8376B422, + 0xE3F47D95, 0x831C314E, + 0xE57D5FDA, 0x82C67F13, + 0xE70747C3, 0x8275A0C0, + 0xE8922621, 0x82299971, + 0xEA1DEBBB, 0x81E26C16, + 0xEBAA894E, 0x81A01B6C, + 0xED37EF91, 0x8162AA03, + 0xEEC60F31, 0x812A1A39, + 0xF054D8D4, 0x80F66E3C, + 0xF1E43D1C, 0x80C7A80A, + 0xF3742CA1, 0x809DC970, + 0xF50497FA, 0x8078D40D, + 0xF6956FB6, 0x8058C94C, + 0xF826A461, 0x803DAA69, + 0xF9B82683, 0x80277872, + 0xFB49E6A2, 0x80163440, + 0xFCDBD541, 0x8009DE7D, + 0xFE6DE2E0, 0x800277A5 +}; + +/** +* \par +* Example code for Q31 Twiddle factors Generation:: +* \par +* <pre>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); +* } </pre> +* \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] = { + 0x7FFFFFFF, 0x00000000, + 0x7FFF6216, 0x00C90F88, + 0x7FFD885A, 0x01921D1F, + 0x7FFA72D1, 0x025B26D7, + 0x7FF62182, 0x03242ABF, + 0x7FF09477, 0x03ED26E6, + 0x7FE9CBC0, 0x04B6195D, + 0x7FE1C76B, 0x057F0034, + 0x7FD8878D, 0x0647D97C, + 0x7FCE0C3E, 0x0710A344, + 0x7FC25596, 0x07D95B9E, + 0x7FB563B2, 0x08A2009A, + 0x7FA736B4, 0x096A9049, + 0x7F97CEBC, 0x0A3308BC, + 0x7F872BF3, 0x0AFB6805, + 0x7F754E7F, 0x0BC3AC35, + 0x7F62368F, 0x0C8BD35E, + 0x7F4DE450, 0x0D53DB92, + 0x7F3857F5, 0x0E1BC2E3, + 0x7F2191B4, 0x0EE38765, + 0x7F0991C3, 0x0FAB272B, + 0x7EF0585F, 0x1072A047, + 0x7ED5E5C6, 0x1139F0CE, + 0x7EBA3A39, 0x120116D4, + 0x7E9D55FC, 0x12C8106E, + 0x7E7F3956, 0x138EDBB0, + 0x7E5FE493, 0x145576B1, + 0x7E3F57FE, 0x151BDF85, + 0x7E1D93E9, 0x15E21444, + 0x7DFA98A7, 0x16A81305, + 0x7DD6668E, 0x176DD9DE, + 0x7DB0FDF7, 0x183366E8, + 0x7D8A5F3F, 0x18F8B83C, + 0x7D628AC5, 0x19BDCBF2, + 0x7D3980EC, 0x1A82A025, + 0x7D0F4218, 0x1B4732EF, + 0x7CE3CEB1, 0x1C0B826A, + 0x7CB72724, 0x1CCF8CB3, + 0x7C894BDD, 0x1D934FE5, + 0x7C5A3D4F, 0x1E56CA1E, + 0x7C29FBEE, 0x1F19F97B, + 0x7BF88830, 0x1FDCDC1A, + 0x7BC5E28F, 0x209F701C, + 0x7B920B89, 0x2161B39F, + 0x7B5D039D, 0x2223A4C5, + 0x7B26CB4F, 0x22E541AE, + 0x7AEF6323, 0x23A6887E, + 0x7AB6CBA3, 0x24677757, + 0x7A7D055B, 0x25280C5D, + 0x7A4210D8, 0x25E845B5, + 0x7A05EEAD, 0x26A82185, + 0x79C89F6D, 0x27679DF4, + 0x798A23B1, 0x2826B928, + 0x794A7C11, 0x28E5714A, + 0x7909A92C, 0x29A3C484, + 0x78C7ABA1, 0x2A61B101, + 0x78848413, 0x2B1F34EB, + 0x78403328, 0x2BDC4E6F, + 0x77FAB988, 0x2C98FBBA, + 0x77B417DF, 0x2D553AFB, + 0x776C4EDB, 0x2E110A62, + 0x77235F2D, 0x2ECC681E, + 0x76D94988, 0x2F875262, + 0x768E0EA5, 0x3041C760, + 0x7641AF3C, 0x30FBC54D, + 0x75F42C0A, 0x31B54A5D, + 0x75A585CF, 0x326E54C7, + 0x7555BD4B, 0x3326E2C2, + 0x7504D345, 0x33DEF287, + 0x74B2C883, 0x3496824F, + 0x745F9DD1, 0x354D9056, + 0x740B53FA, 0x36041AD9, + 0x73B5EBD0, 0x36BA2013, + 0x735F6626, 0x376F9E46, + 0x7307C3D0, 0x382493B0, + 0x72AF05A6, 0x38D8FE93, + 0x72552C84, 0x398CDD32, + 0x71FA3948, 0x3A402DD1, + 0x719E2CD2, 0x3AF2EEB7, + 0x71410804, 0x3BA51E29, + 0x70E2CBC6, 0x3C56BA70, + 0x708378FE, 0x3D07C1D5, + 0x70231099, 0x3DB832A5, + 0x6FC19385, 0x3E680B2C, + 0x6F5F02B1, 0x3F1749B7, + 0x6EFB5F12, 0x3FC5EC97, + 0x6E96A99C, 0x4073F21D, + 0x6E30E349, 0x4121589A, + 0x6DCA0D14, 0x41CE1E64, + 0x6D6227FA, 0x427A41D0, + 0x6CF934FB, 0x4325C135, + 0x6C8F351C, 0x43D09AEC, + 0x6C242960, 0x447ACD50, + 0x6BB812D0, 0x452456BC, + 0x6B4AF278, 0x45CD358F, + 0x6ADCC964, 0x46756827, + 0x6A6D98A4, 0x471CECE6, + 0x69FD614A, 0x47C3C22E, + 0x698C246C, 0x4869E664, + 0x6919E320, 0x490F57EE, + 0x68A69E81, 0x49B41533, + 0x683257AA, 0x4A581C9D, + 0x67BD0FBC, 0x4AFB6C97, + 0x6746C7D7, 0x4B9E038F, + 0x66CF811F, 0x4C3FDFF3, + 0x66573CBB, 0x4CE10034, + 0x65DDFBD3, 0x4D8162C4, + 0x6563BF92, 0x4E210617, + 0x64E88926, 0x4EBFE8A4, + 0x646C59BF, 0x4F5E08E3, + 0x63EF328F, 0x4FFB654D, + 0x637114CC, 0x5097FC5E, + 0x62F201AC, 0x5133CC94, + 0x6271FA69, 0x51CED46E, + 0x61F1003E, 0x5269126E, + 0x616F146B, 0x53028517, + 0x60EC3830, 0x539B2AEF, + 0x60686CCE, 0x5433027D, + 0x5FE3B38D, 0x54CA0A4A, + 0x5F5E0DB3, 0x556040E2, + 0x5ED77C89, 0x55F5A4D2, + 0x5E50015D, 0x568A34A9, + 0x5DC79D7C, 0x571DEEF9, + 0x5D3E5236, 0x57B0D256, + 0x5CB420DF, 0x5842DD54, + 0x5C290ACC, 0x58D40E8C, + 0x5B9D1153, 0x59646497, + 0x5B1035CF, 0x59F3DE12, + 0x5A82799A, 0x5A82799A, + 0x59F3DE12, 0x5B1035CF, + 0x59646497, 0x5B9D1153, + 0x58D40E8C, 0x5C290ACC, + 0x5842DD54, 0x5CB420DF, + 0x57B0D256, 0x5D3E5236, + 0x571DEEF9, 0x5DC79D7C, + 0x568A34A9, 0x5E50015D, + 0x55F5A4D2, 0x5ED77C89, + 0x556040E2, 0x5F5E0DB3, + 0x54CA0A4A, 0x5FE3B38D, + 0x5433027D, 0x60686CCE, + 0x539B2AEF, 0x60EC3830, + 0x53028517, 0x616F146B, + 0x5269126E, 0x61F1003E, + 0x51CED46E, 0x6271FA69, + 0x5133CC94, 0x62F201AC, + 0x5097FC5E, 0x637114CC, + 0x4FFB654D, 0x63EF328F, + 0x4F5E08E3, 0x646C59BF, + 0x4EBFE8A4, 0x64E88926, + 0x4E210617, 0x6563BF92, + 0x4D8162C4, 0x65DDFBD3, + 0x4CE10034, 0x66573CBB, + 0x4C3FDFF3, 0x66CF811F, + 0x4B9E038F, 0x6746C7D7, + 0x4AFB6C97, 0x67BD0FBC, + 0x4A581C9D, 0x683257AA, + 0x49B41533, 0x68A69E81, + 0x490F57EE, 0x6919E320, + 0x4869E664, 0x698C246C, + 0x47C3C22E, 0x69FD614A, + 0x471CECE6, 0x6A6D98A4, + 0x46756827, 0x6ADCC964, + 0x45CD358F, 0x6B4AF278, + 0x452456BC, 0x6BB812D0, + 0x447ACD50, 0x6C242960, + 0x43D09AEC, 0x6C8F351C, + 0x4325C135, 0x6CF934FB, + 0x427A41D0, 0x6D6227FA, + 0x41CE1E64, 0x6DCA0D14, + 0x4121589A, 0x6E30E349, + 0x4073F21D, 0x6E96A99C, + 0x3FC5EC97, 0x6EFB5F12, + 0x3F1749B7, 0x6F5F02B1, + 0x3E680B2C, 0x6FC19385, + 0x3DB832A5, 0x70231099, + 0x3D07C1D5, 0x708378FE, + 0x3C56BA70, 0x70E2CBC6, + 0x3BA51E29, 0x71410804, + 0x3AF2EEB7, 0x719E2CD2, + 0x3A402DD1, 0x71FA3948, + 0x398CDD32, 0x72552C84, + 0x38D8FE93, 0x72AF05A6, + 0x382493B0, 0x7307C3D0, + 0x376F9E46, 0x735F6626, + 0x36BA2013, 0x73B5EBD0, + 0x36041AD9, 0x740B53FA, + 0x354D9056, 0x745F9DD1, + 0x3496824F, 0x74B2C883, + 0x33DEF287, 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0x80B21BAF, 0x0D53DB92, + 0x809DC970, 0x0C8BD35E, + 0x808AB180, 0x0BC3AC35, + 0x8078D40D, 0x0AFB6805, + 0x80683143, 0x0A3308BC, + 0x8058C94C, 0x096A9049, + 0x804A9C4D, 0x08A2009A, + 0x803DAA69, 0x07D95B9E, + 0x8031F3C1, 0x0710A344, + 0x80277872, 0x0647D97C, + 0x801E3894, 0x057F0034, + 0x80163440, 0x04B6195D, + 0x800F6B88, 0x03ED26E6, + 0x8009DE7D, 0x03242ABF, + 0x80058D2E, 0x025B26D7, + 0x800277A5, 0x01921D1F, + 0x80009DE9, 0x00C90F88, + 0x80000000, 0x00000000, + 0x80009DE9, 0xFF36F078, + 0x800277A5, 0xFE6DE2E0, + 0x80058D2E, 0xFDA4D928, + 0x8009DE7D, 0xFCDBD541, + 0x800F6B88, 0xFC12D919, + 0x80163440, 0xFB49E6A2, + 0x801E3894, 0xFA80FFCB, + 0x80277872, 0xF9B82683, + 0x8031F3C1, 0xF8EF5CBB, + 0x803DAA69, 0xF826A461, + 0x804A9C4D, 0xF75DFF65, + 0x8058C94C, 0xF6956FB6, + 0x80683143, 0xF5CCF743, + 0x8078D40D, 0xF50497FA, + 0x808AB180, 0xF43C53CA, + 0x809DC970, 0xF3742CA1, + 0x80B21BAF, 0xF2AC246D, + 0x80C7A80A, 0xF1E43D1C, + 0x80DE6E4C, 0xF11C789A, + 0x80F66E3C, 0xF054D8D4, + 0x810FA7A0, 0xEF8D5FB8, + 0x812A1A39, 0xEEC60F31, + 0x8145C5C6, 0xEDFEE92B, + 0x8162AA03, 0xED37EF91, + 0x8180C6A9, 0xEC71244F, + 0x81A01B6C, 0xEBAA894E, + 0x81C0A801, 0xEAE4207A, + 0x81E26C16, 0xEA1DEBBB, + 0x82056758, 0xE957ECFB, + 0x82299971, 0xE8922621, + 0x824F0208, 0xE7CC9917, + 0x8275A0C0, 0xE70747C3, + 0x829D753A, 0xE642340D, + 0x82C67F13, 0xE57D5FDA, + 0x82F0BDE8, 0xE4B8CD10, + 0x831C314E, 0xE3F47D95, + 0x8348D8DB, 0xE330734C, + 0x8376B422, 0xE26CB01A, + 0x83A5C2B0, 0xE1A935E1, + 0x83D60411, 0xE0E60684, + 0x840777CF, 0xE02323E5, + 0x843A1D70, 0xDF608FE3, + 0x846DF476, 0xDE9E4C60, + 0x84A2FC62, 0xDDDC5B3A, + 0x84D934B0, 0xDD1ABE51, + 0x85109CDC, 0xDC597781, + 0x8549345C, 0xDB9888A8, + 0x8582FAA4, 0xDAD7F3A2, + 0x85BDEF27, 0xDA17BA4A, + 0x85FA1152, 0xD957DE7A, + 0x86376092, 0xD898620C, + 0x8675DC4E, 0xD7D946D7, + 0x86B583EE, 0xD71A8EB5, + 0x86F656D3, 0xD65C3B7B, + 0x8738545E, 0xD59E4EFE, + 0x877B7BEC, 0xD4E0CB14, + 0x87BFCCD7, 0xD423B190, + 0x88054677, 0xD3670445, + 0x884BE820, 0xD2AAC504, + 0x8893B124, 0xD1EEF59E, + 0x88DCA0D3, 0xD13397E1, + 0x8926B677, 0xD078AD9D, + 0x8971F15A, 0xCFBE389F, + 0x89BE50C3, 0xCF043AB2, + 0x8A0BD3F5, 0xCE4AB5A2, + 0x8A5A7A30, 0xCD91AB38, + 0x8AAA42B4, 0xCCD91D3D, + 0x8AFB2CBA, 0xCC210D78, + 0x8B4D377C, 0xCB697DB0, + 0x8BA0622F, 0xCAB26FA9, + 0x8BF4AC05, 0xC9FBE527, + 0x8C4A142F, 0xC945DFEC, + 0x8CA099D9, 0xC89061BA, + 0x8CF83C30, 0xC7DB6C50, + 0x8D50FA59, 0xC727016C, + 0x8DAAD37B, 0xC67322CD, + 0x8E05C6B7, 0xC5BFD22E, + 0x8E61D32D, 0xC50D1148, + 0x8EBEF7FB, 0xC45AE1D7, + 0x8F1D343A, 0xC3A9458F, + 0x8F7C8701, 0xC2F83E2A, + 0x8FDCEF66, 0xC247CD5A, + 0x903E6C7A, 0xC197F4D3, + 0x90A0FD4E, 0xC0E8B648, + 0x9104A0ED, 0xC03A1368, + 0x91695663, 0xBF8C0DE2, + 0x91CF1CB6, 0xBEDEA765, + 0x9235F2EB, 0xBE31E19B, + 0x929DD805, 0xBD85BE2F, + 0x9306CB04, 0xBCDA3ECA, + 0x9370CAE4, 0xBC2F6513, + 0x93DBD69F, 0xBB8532AF, + 0x9447ED2F, 0xBADBA943, + 0x94B50D87, 0xBA32CA70, + 0x9523369B, 0xB98A97D8, + 0x9592675B, 0xB8E31319, + 0x96029EB5, 0xB83C3DD1, + 0x9673DB94, 0xB796199B, + 0x96E61CDF, 0xB6F0A811, + 0x9759617E, 0xB64BEACC, + 0x97CDA855, 0xB5A7E362, + 0x9842F043, 0xB5049368, + 0x98B93828, 0xB461FC70, + 0x99307EE0, 0xB3C0200C, + 0x99A8C344, 0xB31EFFCB, + 0x9A22042C, 0xB27E9D3B, + 0x9A9C406D, 0xB1DEF9E8, + 0x9B1776D9, 0xB140175B, + 0x9B93A640, 0xB0A1F71C, + 0x9C10CD70, 0xB0049AB2, + 0x9C8EEB33, 0xAF6803A1, + 0x9D0DFE53, 0xAECC336B, + 0x9D8E0596, 0xAE312B91, + 0x9E0EFFC1, 0xAD96ED91, + 0x9E90EB94, 0xACFD7AE8, + 0x9F13C7D0, 0xAC64D510, + 0x9F979331, 0xABCCFD82, + 0xA01C4C72, 0xAB35F5B5, + 0xA0A1F24C, 0xAA9FBF1D, + 0xA1288376, 0xAA0A5B2D, + 0xA1AFFEA2, 0xA975CB56, + 0xA2386283, 0xA8E21106, + 0xA2C1ADC9, 0xA84F2DA9, + 0xA34BDF20, 0xA7BD22AB, + 0xA3D6F533, 0xA72BF173, + 0xA462EEAC, 0xA69B9B68, + 0xA4EFCA31, 0xA60C21ED, + 0xA57D8666, 0xA57D8666, + 0xA60C21ED, 0xA4EFCA31, + 0xA69B9B68, 0xA462EEAC, + 0xA72BF173, 0xA3D6F533, + 0xA7BD22AB, 0xA34BDF20, + 0xA84F2DA9, 0xA2C1ADC9, + 0xA8E21106, 0xA2386283, + 0xA975CB56, 0xA1AFFEA2, + 0xAA0A5B2D, 0xA1288376, + 0xAA9FBF1D, 0xA0A1F24C, + 0xAB35F5B5, 0xA01C4C72, + 0xABCCFD82, 0x9F979331, + 0xAC64D510, 0x9F13C7D0, + 0xACFD7AE8, 0x9E90EB94, + 0xAD96ED91, 0x9E0EFFC1, + 0xAE312B91, 0x9D8E0596, + 0xAECC336B, 0x9D0DFE53, + 0xAF6803A1, 0x9C8EEB33, + 0xB0049AB2, 0x9C10CD70, + 0xB0A1F71C, 0x9B93A640, + 0xB140175B, 0x9B1776D9, + 0xB1DEF9E8, 0x9A9C406D, + 0xB27E9D3B, 0x9A22042C, + 0xB31EFFCB, 0x99A8C344, + 0xB3C0200C, 0x99307EE0, + 0xB461FC70, 0x98B93828, + 0xB5049368, 0x9842F043, + 0xB5A7E362, 0x97CDA855, + 0xB64BEACC, 0x9759617E, + 0xB6F0A811, 0x96E61CDF, + 0xB796199B, 0x9673DB94, + 0xB83C3DD1, 0x96029EB5, + 0xB8E31319, 0x9592675B, + 0xB98A97D8, 0x9523369B, + 0xBA32CA70, 0x94B50D87, + 0xBADBA943, 0x9447ED2F, + 0xBB8532AF, 0x93DBD69F, + 0xBC2F6513, 0x9370CAE4, + 0xBCDA3ECA, 0x9306CB04, + 0xBD85BE2F, 0x929DD805, + 0xBE31E19B, 0x9235F2EB, + 0xBEDEA765, 0x91CF1CB6, + 0xBF8C0DE2, 0x91695663, + 0xC03A1368, 0x9104A0ED, + 0xC0E8B648, 0x90A0FD4E, + 0xC197F4D3, 0x903E6C7A, + 0xC247CD5A, 0x8FDCEF66, + 0xC2F83E2A, 0x8F7C8701, + 0xC3A9458F, 0x8F1D343A, + 0xC45AE1D7, 0x8EBEF7FB, + 0xC50D1148, 0x8E61D32D, + 0xC5BFD22E, 0x8E05C6B7, + 0xC67322CD, 0x8DAAD37B, + 0xC727016C, 0x8D50FA59, + 0xC7DB6C50, 0x8CF83C30, + 0xC89061BA, 0x8CA099D9, + 0xC945DFEC, 0x8C4A142F, + 0xC9FBE527, 0x8BF4AC05, + 0xCAB26FA9, 0x8BA0622F, + 0xCB697DB0, 0x8B4D377C, + 0xCC210D78, 0x8AFB2CBA, + 0xCCD91D3D, 0x8AAA42B4, + 0xCD91AB38, 0x8A5A7A30, + 0xCE4AB5A2, 0x8A0BD3F5, + 0xCF043AB2, 0x89BE50C3, + 0xCFBE389F, 0x8971F15A, + 0xD078AD9D, 0x8926B677, + 0xD13397E1, 0x88DCA0D3, + 0xD1EEF59E, 0x8893B124, + 0xD2AAC504, 0x884BE820, + 0xD3670445, 0x88054677, + 0xD423B190, 0x87BFCCD7, + 0xD4E0CB14, 0x877B7BEC, + 0xD59E4EFE, 0x8738545E, + 0xD65C3B7B, 0x86F656D3, + 0xD71A8EB5, 0x86B583EE, + 0xD7D946D7, 0x8675DC4E, + 0xD898620C, 0x86376092, + 0xD957DE7A, 0x85FA1152, + 0xDA17BA4A, 0x85BDEF27, + 0xDAD7F3A2, 0x8582FAA4, + 0xDB9888A8, 0x8549345C, + 0xDC597781, 0x85109CDC, + 0xDD1ABE51, 0x84D934B0, + 0xDDDC5B3A, 0x84A2FC62, + 0xDE9E4C60, 0x846DF476, + 0xDF608FE3, 0x843A1D70, + 0xE02323E5, 0x840777CF, + 0xE0E60684, 0x83D60411, + 0xE1A935E1, 0x83A5C2B0, + 0xE26CB01A, 0x8376B422, + 0xE330734C, 0x8348D8DB, + 0xE3F47D95, 0x831C314E, + 0xE4B8CD10, 0x82F0BDE8, + 0xE57D5FDA, 0x82C67F13, + 0xE642340D, 0x829D753A, + 0xE70747C3, 0x8275A0C0, + 0xE7CC9917, 0x824F0208, + 0xE8922621, 0x82299971, + 0xE957ECFB, 0x82056758, + 0xEA1DEBBB, 0x81E26C16, + 0xEAE4207A, 0x81C0A801, + 0xEBAA894E, 0x81A01B6C, + 0xEC71244F, 0x8180C6A9, + 0xED37EF91, 0x8162AA03, + 0xEDFEE92B, 0x8145C5C6, + 0xEEC60F31, 0x812A1A39, + 0xEF8D5FB8, 0x810FA7A0, + 0xF054D8D4, 0x80F66E3C, + 0xF11C789A, 0x80DE6E4C, + 0xF1E43D1C, 0x80C7A80A, + 0xF2AC246D, 0x80B21BAF, + 0xF3742CA1, 0x809DC970, + 0xF43C53CA, 0x808AB180, + 0xF50497FA, 0x8078D40D, + 0xF5CCF743, 0x80683143, + 0xF6956FB6, 0x8058C94C, + 0xF75DFF65, 0x804A9C4D, + 0xF826A461, 0x803DAA69, + 0xF8EF5CBB, 0x8031F3C1, + 0xF9B82683, 0x80277872, + 0xFA80FFCB, 0x801E3894, + 0xFB49E6A2, 0x80163440, + 0xFC12D919, 0x800F6B88, + 0xFCDBD541, 0x8009DE7D, + 0xFDA4D928, 0x80058D2E, + 0xFE6DE2E0, 0x800277A5, + 0xFF36F078, 0x80009DE9 +}; + +/** +* \par +* Example code for Q31 Twiddle factors Generation:: +* \par +* <pre>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); +* } </pre> +* \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] = { + 0x7FFFFFFF, 0x00000000, + 0x7FFFD885, 0x006487E3, + 0x7FFF6216, 0x00C90F88, + 0x7FFE9CB2, 0x012D96B0, + 0x7FFD885A, 0x01921D1F, + 0x7FFC250F, 0x01F6A296, + 0x7FFA72D1, 0x025B26D7, + 0x7FF871A1, 0x02BFA9A4, + 0x7FF62182, 0x03242ABF, + 0x7FF38273, 0x0388A9E9, + 0x7FF09477, 0x03ED26E6, + 0x7FED5790, 0x0451A176, + 0x7FE9CBC0, 0x04B6195D, + 0x7FE5F108, 0x051A8E5C, + 0x7FE1C76B, 0x057F0034, + 0x7FDD4EEC, 0x05E36EA9, + 0x7FD8878D, 0x0647D97C, + 0x7FD37152, 0x06AC406F, + 0x7FCE0C3E, 0x0710A344, + 0x7FC85853, 0x077501BE, + 0x7FC25596, 0x07D95B9E, + 0x7FBC040A, 0x083DB0A7, + 0x7FB563B2, 0x08A2009A, + 0x7FAE7494, 0x09064B3A, + 0x7FA736B4, 0x096A9049, + 0x7F9FAA15, 0x09CECF89, + 0x7F97CEBC, 0x0A3308BC, + 0x7F8FA4AF, 0x0A973BA5, + 0x7F872BF3, 0x0AFB6805, + 0x7F7E648B, 0x0B5F8D9F, + 0x7F754E7F, 0x0BC3AC35, + 0x7F6BE9D4, 0x0C27C389, + 0x7F62368F, 0x0C8BD35E, + 0x7F5834B6, 0x0CEFDB75, + 0x7F4DE450, 0x0D53DB92, + 0x7F434563, 0x0DB7D376, + 0x7F3857F5, 0x0E1BC2E3, + 0x7F2D1C0E, 0x0E7FA99D, + 0x7F2191B4, 0x0EE38765, + 0x7F15B8EE, 0x0F475BFE, + 0x7F0991C3, 0x0FAB272B, + 0x7EFD1C3C, 0x100EE8AD, + 0x7EF0585F, 0x1072A047, + 0x7EE34635, 0x10D64DBC, + 0x7ED5E5C6, 0x1139F0CE, + 0x7EC8371A, 0x119D8940, + 0x7EBA3A39, 0x120116D4, + 0x7EABEF2C, 0x1264994E, + 0x7E9D55FC, 0x12C8106E, + 0x7E8E6EB1, 0x132B7BF9, + 0x7E7F3956, 0x138EDBB0, + 0x7E6FB5F3, 0x13F22F57, + 0x7E5FE493, 0x145576B1, + 0x7E4FC53E, 0x14B8B17F, + 0x7E3F57FE, 0x151BDF85, + 0x7E2E9CDF, 0x157F0086, + 0x7E1D93E9, 0x15E21444, + 0x7E0C3D29, 0x16451A83, + 0x7DFA98A7, 0x16A81305, + 0x7DE8A670, 0x170AFD8D, + 0x7DD6668E, 0x176DD9DE, + 0x7DC3D90D, 0x17D0A7BB, + 0x7DB0FDF7, 0x183366E8, + 0x7D9DD55A, 0x18961727, + 0x7D8A5F3F, 0x18F8B83C, + 0x7D769BB5, 0x195B49E9, + 0x7D628AC5, 0x19BDCBF2, + 0x7D4E2C7E, 0x1A203E1B, + 0x7D3980EC, 0x1A82A025, + 0x7D24881A, 0x1AE4F1D6, + 0x7D0F4218, 0x1B4732EF, + 0x7CF9AEF0, 0x1BA96334, + 0x7CE3CEB1, 0x1C0B826A, + 0x7CCDA168, 0x1C6D9053, + 0x7CB72724, 0x1CCF8CB3, + 0x7CA05FF1, 0x1D31774D, + 0x7C894BDD, 0x1D934FE5, + 0x7C71EAF8, 0x1DF5163F, + 0x7C5A3D4F, 0x1E56CA1E, + 0x7C4242F2, 0x1EB86B46, + 0x7C29FBEE, 0x1F19F97B, + 0x7C116853, 0x1F7B7480, + 0x7BF88830, 0x1FDCDC1A, + 0x7BDF5B94, 0x203E300D, + 0x7BC5E28F, 0x209F701C, + 0x7BAC1D31, 0x21009C0B, + 0x7B920B89, 0x2161B39F, + 0x7B77ADA8, 0x21C2B69C, + 0x7B5D039D, 0x2223A4C5, + 0x7B420D7A, 0x22847DDF, + 0x7B26CB4F, 0x22E541AE, + 0x7B0B3D2C, 0x2345EFF7, + 0x7AEF6323, 0x23A6887E, + 0x7AD33D45, 0x24070B07, + 0x7AB6CBA3, 0x24677757, + 0x7A9A0E4F, 0x24C7CD32, + 0x7A7D055B, 0x25280C5D, + 0x7A5FB0D8, 0x2588349D, + 0x7A4210D8, 0x25E845B5, + 0x7A24256E, 0x26483F6C, + 0x7A05EEAD, 0x26A82185, + 0x79E76CA6, 0x2707EBC6, + 0x79C89F6D, 0x27679DF4, + 0x79A98715, 0x27C737D2, + 0x798A23B1, 0x2826B928, + 0x796A7554, 0x288621B9, + 0x794A7C11, 0x28E5714A, + 0x792A37FE, 0x2944A7A2, + 0x7909A92C, 0x29A3C484, + 0x78E8CFB1, 0x2A02C7B8, + 0x78C7ABA1, 0x2A61B101, + 0x78A63D10, 0x2AC08025, + 0x78848413, 0x2B1F34EB, + 0x786280BF, 0x2B7DCF17, + 0x78403328, 0x2BDC4E6F, + 0x781D9B64, 0x2C3AB2B9, + 0x77FAB988, 0x2C98FBBA, + 0x77D78DAA, 0x2CF72939, + 0x77B417DF, 0x2D553AFB, + 0x7790583D, 0x2DB330C7, + 0x776C4EDB, 0x2E110A62, + 0x7747FBCE, 0x2E6EC792, + 0x77235F2D, 0x2ECC681E, + 0x76FE790E, 0x2F29EBCC, + 0x76D94988, 0x2F875262, + 0x76B3D0B3, 0x2FE49BA6, + 0x768E0EA5, 0x3041C760, + 0x76680376, 0x309ED555, + 0x7641AF3C, 0x30FBC54D, + 0x761B1211, 0x3158970D, + 0x75F42C0A, 0x31B54A5D, + 0x75CCFD42, 0x3211DF03, + 0x75A585CF, 0x326E54C7, + 0x757DC5CA, 0x32CAAB6F, + 0x7555BD4B, 0x3326E2C2, + 0x752D6C6C, 0x3382FA88, + 0x7504D345, 0x33DEF287, + 0x74DBF1EF, 0x343ACA87, + 0x74B2C883, 0x3496824F, + 0x7489571B, 0x34F219A7, + 0x745F9DD1, 0x354D9056, + 0x74359CBD, 0x35A8E624, + 0x740B53FA, 0x36041AD9, + 0x73E0C3A3, 0x365F2E3B, + 0x73B5EBD0, 0x36BA2013, + 0x738ACC9E, 0x3714F02A, + 0x735F6626, 0x376F9E46, + 0x7333B883, 0x37CA2A30, + 0x7307C3D0, 0x382493B0, + 0x72DB8828, 0x387EDA8E, + 0x72AF05A6, 0x38D8FE93, + 0x72823C66, 0x3932FF87, + 0x72552C84, 0x398CDD32, + 0x7227D61C, 0x39E6975D, + 0x71FA3948, 0x3A402DD1, + 0x71CC5626, 0x3A99A057, + 0x719E2CD2, 0x3AF2EEB7, + 0x716FBD68, 0x3B4C18BA, + 0x71410804, 0x3BA51E29, + 0x71120CC5, 0x3BFDFECD, + 0x70E2CBC6, 0x3C56BA70, + 0x70B34524, 0x3CAF50DA, + 0x708378FE, 0x3D07C1D5, + 0x70536771, 0x3D600D2B, + 0x70231099, 0x3DB832A5, + 0x6FF27496, 0x3E10320D, + 0x6FC19385, 0x3E680B2C, + 0x6F906D84, 0x3EBFBDCC, + 0x6F5F02B1, 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0x13F22F57, + 0x8180C6A9, 0x138EDBB0, + 0x8171914E, 0x132B7BF9, + 0x8162AA03, 0x12C8106E, + 0x815410D3, 0x1264994E, + 0x8145C5C6, 0x120116D4, + 0x8137C8E6, 0x119D8940, + 0x812A1A39, 0x1139F0CE, + 0x811CB9CA, 0x10D64DBC, + 0x810FA7A0, 0x1072A047, + 0x8102E3C3, 0x100EE8AD, + 0x80F66E3C, 0x0FAB272B, + 0x80EA4712, 0x0F475BFE, + 0x80DE6E4C, 0x0EE38765, + 0x80D2E3F1, 0x0E7FA99D, + 0x80C7A80A, 0x0E1BC2E3, + 0x80BCBA9C, 0x0DB7D376, + 0x80B21BAF, 0x0D53DB92, + 0x80A7CB49, 0x0CEFDB75, + 0x809DC970, 0x0C8BD35E, + 0x8094162B, 0x0C27C389, + 0x808AB180, 0x0BC3AC35, + 0x80819B74, 0x0B5F8D9F, + 0x8078D40D, 0x0AFB6805, + 0x80705B50, 0x0A973BA5, + 0x80683143, 0x0A3308BC, + 0x806055EA, 0x09CECF89, + 0x8058C94C, 0x096A9049, + 0x80518B6B, 0x09064B3A, + 0x804A9C4D, 0x08A2009A, + 0x8043FBF6, 0x083DB0A7, + 0x803DAA69, 0x07D95B9E, + 0x8037A7AC, 0x077501BE, + 0x8031F3C1, 0x0710A344, + 0x802C8EAD, 0x06AC406F, + 0x80277872, 0x0647D97C, + 0x8022B113, 0x05E36EA9, + 0x801E3894, 0x057F0034, + 0x801A0EF7, 0x051A8E5C, 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0x80683143, 0xF5CCF743, + 0x80705B50, 0xF568C45A, + 0x8078D40D, 0xF50497FA, + 0x80819B74, 0xF4A07260, + 0x808AB180, 0xF43C53CA, + 0x8094162B, 0xF3D83C76, + 0x809DC970, 0xF3742CA1, + 0x80A7CB49, 0xF310248A, + 0x80B21BAF, 0xF2AC246D, + 0x80BCBA9C, 0xF2482C89, + 0x80C7A80A, 0xF1E43D1C, + 0x80D2E3F1, 0xF1805662, + 0x80DE6E4C, 0xF11C789A, + 0x80EA4712, 0xF0B8A401, + 0x80F66E3C, 0xF054D8D4, + 0x8102E3C3, 0xEFF11752, + 0x810FA7A0, 0xEF8D5FB8, + 0x811CB9CA, 0xEF29B243, + 0x812A1A39, 0xEEC60F31, + 0x8137C8E6, 0xEE6276BF, + 0x8145C5C6, 0xEDFEE92B, + 0x815410D3, 0xED9B66B2, + 0x8162AA03, 0xED37EF91, + 0x8171914E, 0xECD48406, + 0x8180C6A9, 0xEC71244F, + 0x81904A0C, 0xEC0DD0A8, + 0x81A01B6C, 0xEBAA894E, + 0x81B03AC1, 0xEB474E80, + 0x81C0A801, 0xEAE4207A, + 0x81D16320, 0xEA80FF79, + 0x81E26C16, 0xEA1DEBBB, + 0x81F3C2D7, 0xE9BAE57C, + 0x82056758, 0xE957ECFB, + 0x8217598F, 0xE8F50273, + 0x82299971, 0xE8922621, + 0x823C26F2, 0xE82F5844, + 0x824F0208, 0xE7CC9917, + 0x82622AA5, 0xE769E8D8, + 0x8275A0C0, 0xE70747C3, + 0x8289644A, 0xE6A4B616, + 0x829D753A, 0xE642340D, + 0x82B1D381, 0xE5DFC1E4, + 0x82C67F13, 0xE57D5FDA, + 0x82DB77E5, 0xE51B0E2A, + 0x82F0BDE8, 0xE4B8CD10, + 0x8306510F, 0xE4569CCB, + 0x831C314E, 0xE3F47D95, + 0x83325E97, 0xE3926FAC, + 0x8348D8DB, 0xE330734C, + 0x835FA00E, 0xE2CE88B2, + 0x8376B422, 0xE26CB01A, + 0x838E1507, 0xE20AE9C1, + 0x83A5C2B0, 0xE1A935E1, + 0x83BDBD0D, 0xE14794B9, + 0x83D60411, 0xE0E60684, + 0x83EE97AC, 0xE0848B7F, + 0x840777CF, 0xE02323E5, + 0x8420A46B, 0xDFC1CFF2, + 0x843A1D70, 0xDF608FE3, + 0x8453E2CE, 0xDEFF63F4, + 0x846DF476, 0xDE9E4C60, + 0x84885257, 0xDE3D4963, + 0x84A2FC62, 0xDDDC5B3A, + 0x84BDF285, 0xDD7B8220, + 0x84D934B0, 0xDD1ABE51, + 0x84F4C2D3, 0xDCBA1008, + 0x85109CDC, 0xDC597781, + 0x852CC2BA, 0xDBF8F4F8, + 0x8549345C, 0xDB9888A8, + 0x8565F1B0, 0xDB3832CD, + 0x8582FAA4, 0xDAD7F3A2, + 0x85A04F28, 0xDA77CB62, + 0x85BDEF27, 0xDA17BA4A, + 0x85DBDA91, 0xD9B7C093, + 0x85FA1152, 0xD957DE7A, + 0x86189359, 0xD8F81439, + 0x86376092, 0xD898620C, 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+ 0x9B93A640, 0xB0A1F71C, + 0x9BD21AF2, 0xB0533055, + 0x9C10CD70, 0xB0049AB2, + 0x9C4FBD92, 0xAFB63667, + 0x9C8EEB33, 0xAF6803A1, + 0x9CCE562B, 0xAF1A0293, + 0x9D0DFE53, 0xAECC336B, + 0x9D4DE384, 0xAE7E965B, + 0x9D8E0596, 0xAE312B91, + 0x9DCE6462, 0xADE3F33E, + 0x9E0EFFC1, 0xAD96ED91, + 0x9E4FD789, 0xAD4A1ABA, + 0x9E90EB94, 0xACFD7AE8, + 0x9ED23BB9, 0xACB10E4A, + 0x9F13C7D0, 0xAC64D510, + 0x9F558FB0, 0xAC18CF68, + 0x9F979331, 0xABCCFD82, + 0x9FD9D22A, 0xAB815F8C, + 0xA01C4C72, 0xAB35F5B5, + 0xA05F01E1, 0xAAEAC02B, + 0xA0A1F24C, 0xAA9FBF1D, + 0xA0E51D8C, 0xAA54F2B9, + 0xA1288376, 0xAA0A5B2D, + 0xA16C23E1, 0xA9BFF8A8, + 0xA1AFFEA2, 0xA975CB56, + 0xA1F41391, 0xA92BD366, + 0xA2386283, 0xA8E21106, + 0xA27CEB4F, 0xA8988463, + 0xA2C1ADC9, 0xA84F2DA9, + 0xA306A9C7, 0xA8060D08, + 0xA34BDF20, 0xA7BD22AB, + 0xA3914DA7, 0xA7746EC0, + 0xA3D6F533, 0xA72BF173, + 0xA41CD598, 0xA6E3AAF2, + 0xA462EEAC, 0xA69B9B68, + 0xA4A94042, 0xA653C302, + 0xA4EFCA31, 0xA60C21ED, + 0xA5368C4B, 0xA5C4B855, + 0xA57D8666, 0xA57D8666, + 0xA5C4B855, 0xA5368C4B, + 0xA60C21ED, 0xA4EFCA31, + 0xA653C302, 0xA4A94042, + 0xA69B9B68, 0xA462EEAC, + 0xA6E3AAF2, 0xA41CD598, + 0xA72BF173, 0xA3D6F533, + 0xA7746EC0, 0xA3914DA7, + 0xA7BD22AB, 0xA34BDF20, + 0xA8060D08, 0xA306A9C7, + 0xA84F2DA9, 0xA2C1ADC9, + 0xA8988463, 0xA27CEB4F, + 0xA8E21106, 0xA2386283, + 0xA92BD366, 0xA1F41391, + 0xA975CB56, 0xA1AFFEA2, + 0xA9BFF8A8, 0xA16C23E1, + 0xAA0A5B2D, 0xA1288376, + 0xAA54F2B9, 0xA0E51D8C, + 0xAA9FBF1D, 0xA0A1F24C, + 0xAAEAC02B, 0xA05F01E1, + 0xAB35F5B5, 0xA01C4C72, + 0xAB815F8C, 0x9FD9D22A, + 0xABCCFD82, 0x9F979331, + 0xAC18CF68, 0x9F558FB0, + 0xAC64D510, 0x9F13C7D0, + 0xACB10E4A, 0x9ED23BB9, + 0xACFD7AE8, 0x9E90EB94, + 0xAD4A1ABA, 0x9E4FD789, + 0xAD96ED91, 0x9E0EFFC1, + 0xADE3F33E, 0x9DCE6462, + 0xAE312B91, 0x9D8E0596, + 0xAE7E965B, 0x9D4DE384, + 0xAECC336B, 0x9D0DFE53, + 0xAF1A0293, 0x9CCE562B, + 0xAF6803A1, 0x9C8EEB33, + 0xAFB63667, 0x9C4FBD92, + 0xB0049AB2, 0x9C10CD70, + 0xB0533055, 0x9BD21AF2, + 0xB0A1F71C, 0x9B93A640, + 0xB0F0EEDA, 0x9B556F80, + 0xB140175B, 0x9B1776D9, + 0xB18F7070, 0x9AD9BC71, + 0xB1DEF9E8, 0x9A9C406D, + 0xB22EB392, 0x9A5F02F5, + 0xB27E9D3B, 0x9A22042C, + 0xB2CEB6B5, 0x99E5443A, + 0xB31EFFCB, 0x99A8C344, + 0xB36F784E, 0x996C816F, + 0xB3C0200C, 0x99307EE0, + 0xB410F6D2, 0x98F4BBBC, + 0xB461FC70, 0x98B93828, + 0xB4B330B2, 0x987DF449, + 0xB5049368, 0x9842F043, + 0xB556245E, 0x98082C3B, + 0xB5A7E362, 0x97CDA855, + 0xB5F9D042, 0x979364B5, + 0xB64BEACC, 0x9759617E, + 0xB69E32CD, 0x971F9ED6, + 0xB6F0A811, 0x96E61CDF, + 0xB7434A67, 0x96ACDBBD, + 0xB796199B, 0x9673DB94, + 0xB7E9157A, 0x963B1C85, + 0xB83C3DD1, 0x96029EB5, + 0xB88F926C, 0x95CA6246, + 0xB8E31319, 0x9592675B, + 0xB936BFA3, 0x955AAE17, + 0xB98A97D8, 0x9523369B, + 0xB9DE9B83, 0x94EC010B, + 0xBA32CA70, 0x94B50D87, + 0xBA87246C, 0x947E5C32, + 0xBADBA943, 0x9447ED2F, + 0xBB3058C0, 0x9411C09D, + 0xBB8532AF, 0x93DBD69F, + 0xBBDA36DC, 0x93A62F56, + 0xBC2F6513, 0x9370CAE4, + 0xBC84BD1E, 0x933BA968, + 0xBCDA3ECA, 0x9306CB04, + 0xBD2FE9E1, 0x92D22FD8, + 0xBD85BE2F, 0x929DD805, + 0xBDDBBB7F, 0x9269C3AC, + 0xBE31E19B, 0x9235F2EB, + 0xBE88304F, 0x920265E4, + 0xBEDEA765, 0x91CF1CB6, + 0xBF3546A8, 0x919C1780, + 0xBF8C0DE2, 0x91695663, + 0xBFE2FCDF, 0x9136D97D, + 0xC03A1368, 0x9104A0ED, + 0xC0915147, 0x90D2ACD3, + 0xC0E8B648, 0x90A0FD4E, + 0xC1404233, 0x906F927B, + 0xC197F4D3, 0x903E6C7A, + 0xC1EFCDF2, 0x900D8B69, + 0xC247CD5A, 0x8FDCEF66, + 0xC29FF2D4, 0x8FAC988E, + 0xC2F83E2A, 0x8F7C8701, + 0xC350AF25, 0x8F4CBADB, + 0xC3A9458F, 0x8F1D343A, + 0xC4020132, 0x8EEDF33B, + 0xC45AE1D7, 0x8EBEF7FB, + 0xC4B3E746, 0x8E904298, + 0xC50D1148, 0x8E61D32D, + 0xC5665FA8, 0x8E33A9D9, + 0xC5BFD22E, 0x8E05C6B7, + 0xC61968A2, 0x8DD829E4, + 0xC67322CD, 0x8DAAD37B, + 0xC6CD0079, 0x8D7DC399, + 0xC727016C, 0x8D50FA59, + 0xC7812571, 0x8D2477D8, + 0xC7DB6C50, 0x8CF83C30, + 0xC835D5D0, 0x8CCC477D, + 0xC89061BA, 0x8CA099D9, + 0xC8EB0FD6, 0x8C753361, + 0xC945DFEC, 0x8C4A142F, + 0xC9A0D1C4, 0x8C1F3C5C, + 0xC9FBE527, 0x8BF4AC05, + 0xCA5719DB, 0x8BCA6342, + 0xCAB26FA9, 0x8BA0622F, + 0xCB0DE658, 0x8B76A8E4, + 0xCB697DB0, 0x8B4D377C, + 0xCBC53578, 0x8B240E10, + 0xCC210D78, 0x8AFB2CBA, + 0xCC7D0577, 0x8AD29393, + 0xCCD91D3D, 0x8AAA42B4, + 0xCD355490, 0x8A823A35, + 0xCD91AB38, 0x8A5A7A30, + 0xCDEE20FC, 0x8A3302BD, + 0xCE4AB5A2, 0x8A0BD3F5, + 0xCEA768F2, 0x89E4EDEE, + 0xCF043AB2, 0x89BE50C3, + 0xCF612AAA, 0x8997FC89, + 0xCFBE389F, 0x8971F15A, + 0xD01B6459, 0x894C2F4C, + 0xD078AD9D, 0x8926B677, + 0xD0D61433, 0x890186F1, + 0xD13397E1, 0x88DCA0D3, + 0xD191386D, 0x88B80431, + 0xD1EEF59E, 0x8893B124, + 0xD24CCF38, 0x886FA7C2, + 0xD2AAC504, 0x884BE820, + 0xD308D6C6, 0x88287255, + 0xD3670445, 0x88054677, + 0xD3C54D46, 0x87E2649B, + 0xD423B190, 0x87BFCCD7, + 0xD48230E8, 0x879D7F40, + 0xD4E0CB14, 0x877B7BEC, + 0xD53F7FDA, 0x8759C2EF, + 0xD59E4EFE, 0x8738545E, + 0xD5FD3847, 0x8717304E, + 0xD65C3B7B, 0x86F656D3, + 0xD6BB585D, 0x86D5C802, + 0xD71A8EB5, 0x86B583EE, + 0xD779DE46, 0x86958AAB, + 0xD7D946D7, 0x8675DC4E, + 0xD838C82D, 0x865678EA, + 0xD898620C, 0x86376092, + 0xD8F81439, 0x86189359, + 0xD957DE7A, 0x85FA1152, + 0xD9B7C093, 0x85DBDA91, + 0xDA17BA4A, 0x85BDEF27, + 0xDA77CB62, 0x85A04F28, + 0xDAD7F3A2, 0x8582FAA4, + 0xDB3832CD, 0x8565F1B0, + 0xDB9888A8, 0x8549345C, + 0xDBF8F4F8, 0x852CC2BA, + 0xDC597781, 0x85109CDC, + 0xDCBA1008, 0x84F4C2D3, + 0xDD1ABE51, 0x84D934B0, + 0xDD7B8220, 0x84BDF285, + 0xDDDC5B3A, 0x84A2FC62, + 0xDE3D4963, 0x84885257, + 0xDE9E4C60, 0x846DF476, + 0xDEFF63F4, 0x8453E2CE, + 0xDF608FE3, 0x843A1D70, + 0xDFC1CFF2, 0x8420A46B, + 0xE02323E5, 0x840777CF, + 0xE0848B7F, 0x83EE97AC, + 0xE0E60684, 0x83D60411, + 0xE14794B9, 0x83BDBD0D, + 0xE1A935E1, 0x83A5C2B0, + 0xE20AE9C1, 0x838E1507, + 0xE26CB01A, 0x8376B422, + 0xE2CE88B2, 0x835FA00E, + 0xE330734C, 0x8348D8DB, + 0xE3926FAC, 0x83325E97, + 0xE3F47D95, 0x831C314E, + 0xE4569CCB, 0x8306510F, + 0xE4B8CD10, 0x82F0BDE8, + 0xE51B0E2A, 0x82DB77E5, + 0xE57D5FDA, 0x82C67F13, + 0xE5DFC1E4, 0x82B1D381, + 0xE642340D, 0x829D753A, + 0xE6A4B616, 0x8289644A, + 0xE70747C3, 0x8275A0C0, + 0xE769E8D8, 0x82622AA5, + 0xE7CC9917, 0x824F0208, + 0xE82F5844, 0x823C26F2, + 0xE8922621, 0x82299971, + 0xE8F50273, 0x8217598F, + 0xE957ECFB, 0x82056758, + 0xE9BAE57C, 0x81F3C2D7, + 0xEA1DEBBB, 0x81E26C16, + 0xEA80FF79, 0x81D16320, + 0xEAE4207A, 0x81C0A801, + 0xEB474E80, 0x81B03AC1, + 0xEBAA894E, 0x81A01B6C, + 0xEC0DD0A8, 0x81904A0C, + 0xEC71244F, 0x8180C6A9, + 0xECD48406, 0x8171914E, + 0xED37EF91, 0x8162AA03, + 0xED9B66B2, 0x815410D3, + 0xEDFEE92B, 0x8145C5C6, + 0xEE6276BF, 0x8137C8E6, + 0xEEC60F31, 0x812A1A39, + 0xEF29B243, 0x811CB9CA, + 0xEF8D5FB8, 0x810FA7A0, + 0xEFF11752, 0x8102E3C3, + 0xF054D8D4, 0x80F66E3C, + 0xF0B8A401, 0x80EA4712, + 0xF11C789A, 0x80DE6E4C, + 0xF1805662, 0x80D2E3F1, + 0xF1E43D1C, 0x80C7A80A, + 0xF2482C89, 0x80BCBA9C, + 0xF2AC246D, 0x80B21BAF, + 0xF310248A, 0x80A7CB49, + 0xF3742CA1, 0x809DC970, + 0xF3D83C76, 0x8094162B, + 0xF43C53CA, 0x808AB180, + 0xF4A07260, 0x80819B74, + 0xF50497FA, 0x8078D40D, + 0xF568C45A, 0x80705B50, + 0xF5CCF743, 0x80683143, + 0xF6313076, 0x806055EA, + 0xF6956FB6, 0x8058C94C, + 0xF6F9B4C5, 0x80518B6B, + 0xF75DFF65, 0x804A9C4D, + 0xF7C24F58, 0x8043FBF6, + 0xF826A461, 0x803DAA69, + 0xF88AFE41, 0x8037A7AC, + 0xF8EF5CBB, 0x8031F3C1, + 0xF953BF90, 0x802C8EAD, + 0xF9B82683, 0x80277872, + 0xFA1C9156, 0x8022B113, + 0xFA80FFCB, 0x801E3894, + 0xFAE571A4, 0x801A0EF7, + 0xFB49E6A2, 0x80163440, + 0xFBAE5E89, 0x8012A86F, + 0xFC12D919, 0x800F6B88, + 0xFC775616, 0x800C7D8C, + 0xFCDBD541, 0x8009DE7D, + 0xFD40565B, 0x80078E5E, + 0xFDA4D928, 0x80058D2E, + 0xFE095D69, 0x8003DAF0, + 0xFE6DE2E0, 0x800277A5, + 0xFED2694F, 0x8001634D, + 0xFF36F078, 0x80009DE9, + 0xFF9B781D, 0x8000277A +}; + +/** +* \par +* Example code for Q31 Twiddle factors Generation:: +* \par +* <pre>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); +* } </pre> +* \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] = +{ + 0x7FFFFFFF, 0x00000000, + 0x7FFFF621, 0x003243F5, + 0x7FFFD885, 0x006487E3, + 0x7FFFA72C, 0x0096CBC1, + 0x7FFF6216, 0x00C90F88, + 0x7FFF0942, 0x00FB532F, + 0x7FFE9CB2, 0x012D96B0, + 0x7FFE1C64, 0x015FDA03, + 0x7FFD885A, 0x01921D1F, + 0x7FFCE093, 0x01C45FFE, + 0x7FFC250F, 0x01F6A296, + 0x7FFB55CE, 0x0228E4E1, + 0x7FFA72D1, 0x025B26D7, + 0x7FF97C17, 0x028D6870, + 0x7FF871A1, 0x02BFA9A4, + 0x7FF7536F, 0x02F1EA6B, + 0x7FF62182, 0x03242ABF, + 0x7FF4DBD8, 0x03566A96, + 0x7FF38273, 0x0388A9E9, + 0x7FF21553, 0x03BAE8B1, + 0x7FF09477, 0x03ED26E6, + 0x7FEEFFE1, 0x041F647F, + 0x7FED5790, 0x0451A176, + 0x7FEB9B85, 0x0483DDC3, + 0x7FE9CBC0, 0x04B6195D, + 0x7FE7E840, 0x04E8543D, + 0x7FE5F108, 0x051A8E5C, + 0x7FE3E616, 0x054CC7B0, + 0x7FE1C76B, 0x057F0034, + 0x7FDF9508, 0x05B137DF, + 0x7FDD4EEC, 0x05E36EA9, + 0x7FDAF518, 0x0615A48A, + 0x7FD8878D, 0x0647D97C, + 0x7FD6064B, 0x067A0D75, + 0x7FD37152, 0x06AC406F, + 0x7FD0C8A3, 0x06DE7261, + 0x7FCE0C3E, 0x0710A344, + 0x7FCB3C23, 0x0742D310, + 0x7FC85853, 0x077501BE, + 0x7FC560CF, 0x07A72F45, + 0x7FC25596, 0x07D95B9E, + 0x7FBF36A9, 0x080B86C1, + 0x7FBC040A, 0x083DB0A7, + 0x7FB8BDB7, 0x086FD947, + 0x7FB563B2, 0x08A2009A, + 0x7FB1F5FC, 0x08D42698, + 0x7FAE7494, 0x09064B3A, + 0x7FAADF7C, 0x09386E77, + 0x7FA736B4, 0x096A9049, + 0x7FA37A3C, 0x099CB0A7, + 0x7F9FAA15, 0x09CECF89, + 0x7F9BC63F, 0x0A00ECE8, + 0x7F97CEBC, 0x0A3308BC, + 0x7F93C38C, 0x0A6522FE, + 0x7F8FA4AF, 0x0A973BA5, + 0x7F8B7226, 0x0AC952AA, + 0x7F872BF3, 0x0AFB6805, + 0x7F82D214, 0x0B2D7BAE, + 0x7F7E648B, 0x0B5F8D9F, + 0x7F79E35A, 0x0B919DCE, + 0x7F754E7F, 0x0BC3AC35, + 0x7F70A5FD, 0x0BF5B8CB, + 0x7F6BE9D4, 0x0C27C389, + 0x7F671A04, 0x0C59CC67, + 0x7F62368F, 0x0C8BD35E, + 0x7F5D3F75, 0x0CBDD865, + 0x7F5834B6, 0x0CEFDB75, + 0x7F531654, 0x0D21DC87, + 0x7F4DE450, 0x0D53DB92, + 0x7F489EAA, 0x0D85D88F, + 0x7F434563, 0x0DB7D376, + 0x7F3DD87C, 0x0DE9CC3F, + 0x7F3857F5, 0x0E1BC2E3, + 0x7F32C3D0, 0x0E4DB75B, + 0x7F2D1C0E, 0x0E7FA99D, + 0x7F2760AF, 0x0EB199A3, + 0x7F2191B4, 0x0EE38765, + 0x7F1BAF1E, 0x0F1572DC, + 0x7F15B8EE, 0x0F475BFE, + 0x7F0FAF24, 0x0F7942C6, + 0x7F0991C3, 0x0FAB272B, + 0x7F0360CB, 0x0FDD0925, + 0x7EFD1C3C, 0x100EE8AD, + 0x7EF6C418, 0x1040C5BB, + 0x7EF0585F, 0x1072A047, + 0x7EE9D913, 0x10A4784A, + 0x7EE34635, 0x10D64DBC, + 0x7EDC9FC6, 0x11082096, + 0x7ED5E5C6, 0x1139F0CE, + 0x7ECF1837, 0x116BBE5F, + 0x7EC8371A, 0x119D8940, + 0x7EC1426F, 0x11CF516A, + 0x7EBA3A39, 0x120116D4, + 0x7EB31E77, 0x1232D978, + 0x7EABEF2C, 0x1264994E, + 0x7EA4AC58, 0x1296564D, + 0x7E9D55FC, 0x12C8106E, + 0x7E95EC19, 0x12F9C7AA, + 0x7E8E6EB1, 0x132B7BF9, + 0x7E86DDC5, 0x135D2D53, + 0x7E7F3956, 0x138EDBB0, + 0x7E778165, 0x13C0870A, + 0x7E6FB5F3, 0x13F22F57, + 0x7E67D702, 0x1423D492, + 0x7E5FE493, 0x145576B1, + 0x7E57DEA6, 0x148715AD, + 0x7E4FC53E, 0x14B8B17F, + 0x7E47985B, 0x14EA4A1F, + 0x7E3F57FE, 0x151BDF85, + 0x7E37042A, 0x154D71AA, + 0x7E2E9CDF, 0x157F0086, + 0x7E26221E, 0x15B08C11, + 0x7E1D93E9, 0x15E21444, + 0x7E14F242, 0x16139917, + 0x7E0C3D29, 0x16451A83, + 0x7E03749F, 0x1676987F, + 0x7DFA98A7, 0x16A81305, + 0x7DF1A942, 0x16D98A0C, + 0x7DE8A670, 0x170AFD8D, + 0x7DDF9034, 0x173C6D80, + 0x7DD6668E, 0x176DD9DE, + 0x7DCD2981, 0x179F429F, + 0x7DC3D90D, 0x17D0A7BB, + 0x7DBA7534, 0x1802092C, + 0x7DB0FDF7, 0x183366E8, + 0x7DA77359, 0x1864C0E9, + 0x7D9DD55A, 0x18961727, + 0x7D9423FB, 0x18C7699B, + 0x7D8A5F3F, 0x18F8B83C, + 0x7D808727, 0x192A0303, + 0x7D769BB5, 0x195B49E9, + 0x7D6C9CE9, 0x198C8CE6, + 0x7D628AC5, 0x19BDCBF2, + 0x7D58654C, 0x19EF0706, + 0x7D4E2C7E, 0x1A203E1B, + 0x7D43E05E, 0x1A517127, + 0x7D3980EC, 0x1A82A025, + 0x7D2F0E2A, 0x1AB3CB0C, + 0x7D24881A, 0x1AE4F1D6, + 0x7D19EEBE, 0x1B161479, + 0x7D0F4218, 0x1B4732EF, + 0x7D048228, 0x1B784D30, + 0x7CF9AEF0, 0x1BA96334, + 0x7CEEC873, 0x1BDA74F5, + 0x7CE3CEB1, 0x1C0B826A, + 0x7CD8C1AD, 0x1C3C8B8C, + 0x7CCDA168, 0x1C6D9053, + 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+ 0x8009DE7D, 0xFCDBD541, + 0x800B2427, 0xFCA99569, + 0x800C7D8C, 0xFC775616, + 0x800DEAAC, 0xFC45174E, + 0x800F6B88, 0xFC12D919, + 0x8011001E, 0xFBE09B80, + 0x8012A86F, 0xFBAE5E89, + 0x8014647A, 0xFB7C223C, + 0x80163440, 0xFB49E6A2, + 0x801817BF, 0xFB17ABC2, + 0x801A0EF7, 0xFAE571A4, + 0x801C19E9, 0xFAB3384F, + 0x801E3894, 0xFA80FFCB, + 0x80206AF8, 0xFA4EC820, + 0x8022B113, 0xFA1C9156, + 0x80250AE7, 0xF9EA5B75, + 0x80277872, 0xF9B82683, + 0x8029F9B4, 0xF985F28A, + 0x802C8EAD, 0xF953BF90, + 0x802F375C, 0xF9218D9E, + 0x8031F3C1, 0xF8EF5CBB, + 0x8034C3DC, 0xF8BD2CEF, + 0x8037A7AC, 0xF88AFE41, + 0x803A9F31, 0xF858D0BA, + 0x803DAA69, 0xF826A461, + 0x8040C956, 0xF7F4793E, + 0x8043FBF6, 0xF7C24F58, + 0x80474248, 0xF79026B8, + 0x804A9C4D, 0xF75DFF65, + 0x804E0A03, 0xF72BD967, + 0x80518B6B, 0xF6F9B4C5, + 0x80552083, 0xF6C79188, + 0x8058C94C, 0xF6956FB6, + 0x805C85C3, 0xF6634F58, + 0x806055EA, 0xF6313076, + 0x806439C0, 0xF5FF1317, + 0x80683143, 0xF5CCF743, + 0x806C3C73, 0xF59ADD01, + 0x80705B50, 0xF568C45A, + 0x80748DD9, 0xF536AD55, + 0x8078D40D, 0xF50497FA, + 0x807D2DEB, 0xF4D28451, + 0x80819B74, 0xF4A07260, + 0x80861CA5, 0xF46E6231, + 0x808AB180, 0xF43C53CA, + 0x808F5A02, 0xF40A4734, + 0x8094162B, 0xF3D83C76, + 0x8098E5FB, 0xF3A63398, + 0x809DC970, 0xF3742CA1, + 0x80A2C08B, 0xF342279A, + 0x80A7CB49, 0xF310248A, + 0x80ACE9AB, 0xF2DE2378, + 0x80B21BAF, 0xF2AC246D, + 0x80B76155, 0xF27A2770, + 0x80BCBA9C, 0xF2482C89, + 0x80C22783, 0xF21633C0, + 0x80C7A80A, 0xF1E43D1C, + 0x80CD3C2F, 0xF1B248A5, + 0x80D2E3F1, 0xF1805662, + 0x80D89F51, 0xF14E665C, + 0x80DE6E4C, 0xF11C789A, + 0x80E450E2, 0xF0EA8D23, + 0x80EA4712, 0xF0B8A401, + 0x80F050DB, 0xF086BD39, + 0x80F66E3C, 0xF054D8D4, + 0x80FC9F35, 0xF022F6DA, + 0x8102E3C3, 0xEFF11752, + 0x81093BE8, 0xEFBF3A44, + 0x810FA7A0, 0xEF8D5FB8, + 0x811626EC, 0xEF5B87B5, + 0x811CB9CA, 0xEF29B243, + 0x81236039, 0xEEF7DF6A, + 0x812A1A39, 0xEEC60F31, + 0x8130E7C8, 0xEE9441A0, + 0x8137C8E6, 0xEE6276BF, + 0x813EBD90, 0xEE30AE95, + 0x8145C5C6, 0xEDFEE92B, + 0x814CE188, 0xEDCD2687, + 0x815410D3, 0xED9B66B2, + 0x815B53A8, 0xED69A9B2, + 0x8162AA03, 0xED37EF91, + 0x816A13E6, 0xED063855, + 0x8171914E, 0xECD48406, + 0x8179223A, 0xECA2D2AC, + 0x8180C6A9, 0xEC71244F, + 0x81887E9A, 0xEC3F78F5, + 0x81904A0C, 0xEC0DD0A8, + 0x819828FD, 0xEBDC2B6D, + 0x81A01B6C, 0xEBAA894E, + 0x81A82159, 0xEB78EA52, + 0x81B03AC1, 0xEB474E80, + 0x81B867A4, 0xEB15B5E0, + 0x81C0A801, 0xEAE4207A, + 0x81C8FBD5, 0xEAB28E55, + 0x81D16320, 0xEA80FF79, + 0x81D9DDE1, 0xEA4F73EE, + 0x81E26C16, 0xEA1DEBBB, + 0x81EB0DBD, 0xE9EC66E8, + 0x81F3C2D7, 0xE9BAE57C, + 0x81FC8B60, 0xE9896780, + 0x82056758, 0xE957ECFB, + 0x820E56BE, 0xE92675F4, + 0x8217598F, 0xE8F50273, + 0x82206FCB, 0xE8C3927F, + 0x82299971, 0xE8922621, + 0x8232D67E, 0xE860BD60, + 0x823C26F2, 0xE82F5844, + 0x82458ACB, 0xE7FDF6D3, + 0x824F0208, 0xE7CC9917, + 0x82588CA6, 0xE79B3F16, + 0x82622AA5, 0xE769E8D8, + 0x826BDC04, 0xE7389664, + 0x8275A0C0, 0xE70747C3, + 0x827F78D8, 0xE6D5FCFC, + 0x8289644A, 0xE6A4B616, + 0x82936316, 0xE6737319, + 0x829D753A, 0xE642340D, + 0x82A79AB3, 0xE610F8F9, + 0x82B1D381, 0xE5DFC1E4, + 0x82BC1FA1, 0xE5AE8ED8, + 0x82C67F13, 0xE57D5FDA, + 0x82D0F1D5, 0xE54C34F3, + 0x82DB77E5, 0xE51B0E2A, + 0x82E61141, 0xE4E9EB86, + 0x82F0BDE8, 0xE4B8CD10, + 0x82FB7DD8, 0xE487B2CF, + 0x8306510F, 0xE4569CCB, + 0x8311378C, 0xE4258B0A, + 0x831C314E, 0xE3F47D95, + 0x83273E52, 0xE3C37473, + 0x83325E97, 0xE3926FAC, + 0x833D921A, 0xE3616F47, + 0x8348D8DB, 0xE330734C, + 0x835432D8, 0xE2FF7BC3, + 0x835FA00E, 0xE2CE88B2, + 0x836B207D, 0xE29D9A22, + 0x8376B422, 0xE26CB01A, + 0x83825AFB, 0xE23BCAA2, + 0x838E1507, 0xE20AE9C1, + 0x8399E244, 0xE1DA0D7E, + 0x83A5C2B0, 0xE1A935E1, + 0x83B1B649, 0xE17862F3, + 0x83BDBD0D, 0xE14794B9, + 0x83C9D6FB, 0xE116CB3D, + 0x83D60411, 0xE0E60684, + 0x83E2444D, 0xE0B54698, + 0x83EE97AC, 0xE0848B7F, + 0x83FAFE2E, 0xE053D541, + 0x840777CF, 0xE02323E5, + 0x8414048F, 0xDFF27773, + 0x8420A46B, 0xDFC1CFF2, + 0x842D5761, 0xDF912D6A, + 0x843A1D70, 0xDF608FE3, + 0x8446F695, 0xDF2FF764, + 0x8453E2CE, 0xDEFF63F4, + 0x8460E21A, 0xDECED59B, + 0x846DF476, 0xDE9E4C60, + 0x847B19E1, 0xDE6DC84B, + 0x84885257, 0xDE3D4963, + 0x84959DD9, 0xDE0CCFB1, + 0x84A2FC62, 0xDDDC5B3A, + 0x84B06DF1, 0xDDABEC07, + 0x84BDF285, 0xDD7B8220, + 0x84CB8A1B, 0xDD4B1D8B, + 0x84D934B0, 0xDD1ABE51, + 0x84E6F244, 0xDCEA6478, + 0x84F4C2D3, 0xDCBA1008, + 0x8502A65C, 0xDC89C108, + 0x85109CDC, 0xDC597781, + 0x851EA652, 0xDC293379, + 0x852CC2BA, 0xDBF8F4F8, + 0x853AF214, 0xDBC8BC05, + 0x8549345C, 0xDB9888A8, + 0x85578991, 0xDB685AE8, + 0x8565F1B0, 0xDB3832CD, + 0x85746CB7, 0xDB08105E, + 0x8582FAA4, 0xDAD7F3A2, + 0x85919B75, 0xDAA7DCA1, + 0x85A04F28, 0xDA77CB62, + 0x85AF15B9, 0xDA47BFED, + 0x85BDEF27, 0xDA17BA4A, + 0x85CCDB70, 0xD9E7BA7E, + 0x85DBDA91, 0xD9B7C093, + 0x85EAEC88, 0xD987CC8F, + 0x85FA1152, 0xD957DE7A, + 0x860948EE, 0xD927F65B, + 0x86189359, 0xD8F81439, + 0x8627F090, 0xD8C8381C, + 0x86376092, 0xD898620C, + 0x8646E35B, 0xD868920F, + 0x865678EA, 0xD838C82D, + 0x8666213C, 0xD809046D, + 0x8675DC4E, 0xD7D946D7, + 0x8685AA1F, 0xD7A98F73, + 0x86958AAB, 0xD779DE46, + 0x86A57DF1, 0xD74A335A, + 0x86B583EE, 0xD71A8EB5, + 0x86C59C9F, 0xD6EAF05E, + 0x86D5C802, 0xD6BB585D, + 0x86E60614, 0xD68BC6BA, + 0x86F656D3, 0xD65C3B7B, + 0x8706BA3C, 0xD62CB6A7, + 0x8717304E, 0xD5FD3847, + 0x8727B904, 0xD5CDC062, + 0x8738545E, 0xD59E4EFE, + 0x87490257, 0xD56EE424, + 0x8759C2EF, 0xD53F7FDA, + 0x876A9621, 0xD5102227, + 0x877B7BEC, 0xD4E0CB14, + 0x878C744C, 0xD4B17AA7, + 0x879D7F40, 0xD48230E8, + 0x87AE9CC5, 0xD452EDDE, + 0x87BFCCD7, 0xD423B190, + 0x87D10F75, 0xD3F47C06, + 0x87E2649B, 0xD3C54D46, + 0x87F3CC47, 0xD3962559, + 0x88054677, 0xD3670445, + 0x8816D327, 0xD337EA12, + 0x88287255, 0xD308D6C6, + 0x883A23FE, 0xD2D9CA6A, + 0x884BE820, 0xD2AAC504, + 0x885DBEB7, 0xD27BC69C, + 0x886FA7C2, 0xD24CCF38, + 0x8881A33C, 0xD21DDEE1, + 0x8893B124, 0xD1EEF59E, + 0x88A5D177, 0xD1C01374, + 0x88B80431, 0xD191386D, + 0x88CA4951, 0xD162648F, + 0x88DCA0D3, 0xD13397E1, + 0x88EF0AB4, 0xD104D26B, + 0x890186F1, 0xD0D61433, + 0x89141589, 0xD0A75D42, + 0x8926B677, 0xD078AD9D, + 0x893969B9, 0xD04A054D, + 0x894C2F4C, 0xD01B6459, + 0x895F072D, 0xCFECCAC7, + 0x8971F15A, 0xCFBE389F, + 0x8984EDCF, 0xCF8FADE8, + 0x8997FC89, 0xCF612AAA, + 0x89AB1D86, 0xCF32AEEB, + 0x89BE50C3, 0xCF043AB2, + 0x89D1963C, 0xCED5CE08, + 0x89E4EDEE, 0xCEA768F2, + 0x89F857D8, 0xCE790B78, + 0x8A0BD3F5, 0xCE4AB5A2, + 0x8A1F6242, 0xCE1C6776, + 0x8A3302BD, 0xCDEE20FC, + 0x8A46B563, 0xCDBFE23A, + 0x8A5A7A30, 0xCD91AB38, + 0x8A6E5122, 0xCD637BFD, + 0x8A823A35, 0xCD355490, + 0x8A963567, 0xCD0734F8, + 0x8AAA42B4, 0xCCD91D3D, + 0x8ABE6219, 0xCCAB0D65, + 0x8AD29393, 0xCC7D0577, + 0x8AE6D71F, 0xCC4F057B, + 0x8AFB2CBA, 0xCC210D78, + 0x8B0F9461, 0xCBF31D75, + 0x8B240E10, 0xCBC53578, + 0x8B3899C5, 0xCB975589, + 0x8B4D377C, 0xCB697DB0, + 0x8B61E732, 0xCB3BADF2, + 0x8B76A8E4, 0xCB0DE658, + 0x8B8B7C8F, 0xCAE026E8, + 0x8BA0622F, 0xCAB26FA9, + 0x8BB559C1, 0xCA84C0A2, + 0x8BCA6342, 0xCA5719DB, + 0x8BDF7EAF, 0xCA297B5A, + 0x8BF4AC05, 0xC9FBE527, + 0x8C09EB40, 0xC9CE5748, + 0x8C1F3C5C, 0xC9A0D1C4, + 0x8C349F58, 0xC97354A3, + 0x8C4A142F, 0xC945DFEC, + 0x8C5F9ADD, 0xC91873A5, + 0x8C753361, 0xC8EB0FD6, + 0x8C8ADDB6, 0xC8BDB485, + 0x8CA099D9, 0xC89061BA, + 0x8CB667C7, 0xC863177B, + 0x8CCC477D, 0xC835D5D0, + 0x8CE238F6, 0xC8089CBF, + 0x8CF83C30, 0xC7DB6C50, + 0x8D0E5127, 0xC7AE4489, + 0x8D2477D8, 0xC7812571, + 0x8D3AB03F, 0xC7540F10, + 0x8D50FA59, 0xC727016C, + 0x8D675623, 0xC6F9FC8D, + 0x8D7DC399, 0xC6CD0079, + 0x8D9442B7, 0xC6A00D36, + 0x8DAAD37B, 0xC67322CD, + 0x8DC175E0, 0xC6464144, + 0x8DD829E4, 0xC61968A2, + 0x8DEEEF82, 0xC5EC98ED, + 0x8E05C6B7, 0xC5BFD22E, + 0x8E1CAF80, 0xC593146A, + 0x8E33A9D9, 0xC5665FA8, + 0x8E4AB5BF, 0xC539B3F0, + 0x8E61D32D, 0xC50D1148, + 0x8E790222, 0xC4E077B8, + 0x8E904298, 0xC4B3E746, + 0x8EA7948C, 0xC4875FF8, + 0x8EBEF7FB, 0xC45AE1D7, + 0x8ED66CE1, 0xC42E6CE8, + 0x8EEDF33B, 0xC4020132, + 0x8F058B04, 0xC3D59EBD, + 0x8F1D343A, 0xC3A9458F, + 0x8F34EED8, 0xC37CF5B0, + 0x8F4CBADB, 0xC350AF25, + 0x8F64983F, 0xC32471F6, + 0x8F7C8701, 0xC2F83E2A, + 0x8F94871D, 0xC2CC13C7, + 0x8FAC988E, 0xC29FF2D4, + 0x8FC4BB53, 0xC273DB58, + 0x8FDCEF66, 0xC247CD5A, + 0x8FF534C4, 0xC21BC8E0, + 0x900D8B69, 0xC1EFCDF2, + 0x9025F352, 0xC1C3DC96, + 0x903E6C7A, 0xC197F4D3, + 0x9056F6DF, 0xC16C16B0, + 0x906F927B, 0xC1404233, + 0x90883F4C, 0xC1147763, + 0x90A0FD4E, 0xC0E8B648, + 0x90B9CC7C, 0xC0BCFEE7, + 0x90D2ACD3, 0xC0915147, + 0x90EB9E50, 0xC065AD70, + 0x9104A0ED, 0xC03A1368, + 0x911DB4A8, 0xC00E8335, + 0x9136D97D, 0xBFE2FCDF, + 0x91500F67, 0xBFB7806C, + 0x91695663, 0xBF8C0DE2, + 0x9182AE6C, 0xBF60A54A, + 0x919C1780, 0xBF3546A8, + 0x91B5919A, 0xBF09F204, + 0x91CF1CB6, 0xBEDEA765, + 0x91E8B8D0, 0xBEB366D1, + 0x920265E4, 0xBE88304F, + 0x921C23EE, 0xBE5D03E5, + 0x9235F2EB, 0xBE31E19B, + 0x924FD2D6, 0xBE06C977, + 0x9269C3AC, 0xBDDBBB7F, + 0x9283C567, 0xBDB0B7BA, + 0x929DD805, 0xBD85BE2F, + 0x92B7FB82, 0xBD5ACEE5, + 0x92D22FD8, 0xBD2FE9E1, + 0x92EC7505, 0xBD050F2C, + 0x9306CB04, 0xBCDA3ECA, + 0x932131D1, 0xBCAF78C3, + 0x933BA968, 0xBC84BD1E, + 0x935631C5, 0xBC5A0BE1, + 0x9370CAE4, 0xBC2F6513, + 0x938B74C0, 0xBC04C8BA, + 0x93A62F56, 0xBBDA36DC, + 0x93C0FAA2, 0xBBAFAF81, + 0x93DBD69F, 0xBB8532AF, + 0x93F6C34A, 0xBB5AC06C, + 0x9411C09D, 0xBB3058C0, + 0x942CCE95, 0xBB05FBB0, + 0x9447ED2F, 0xBADBA943, + 0x94631C64, 0xBAB1617F, + 0x947E5C32, 0xBA87246C, + 0x9499AC95, 0xBA5CF210, + 0x94B50D87, 0xBA32CA70, + 0x94D07F05, 0xBA08AD94, + 0x94EC010B, 0xB9DE9B83, + 0x95079393, 0xB9B49442, + 0x9523369B, 0xB98A97D8, + 0x953EEA1E, 0xB960A64B, + 0x955AAE17, 0xB936BFA3, + 0x95768282, 0xB90CE3E6, + 0x9592675B, 0xB8E31319, + 0x95AE5C9E, 0xB8B94D44, + 0x95CA6246, 0xB88F926C, + 0x95E6784F, 0xB865E299, + 0x96029EB5, 0xB83C3DD1, + 0x961ED573, 0xB812A419, + 0x963B1C85, 0xB7E9157A, + 0x965773E7, 0xB7BF91F8, + 0x9673DB94, 0xB796199B, + 0x96905387, 0xB76CAC68, + 0x96ACDBBD, 0xB7434A67, + 0x96C97431, 0xB719F39D, + 0x96E61CDF, 0xB6F0A811, + 0x9702D5C2, 0xB6C767CA, + 0x971F9ED6, 0xB69E32CD, + 0x973C7816, 0xB6750921, + 0x9759617E, 0xB64BEACC, + 0x97765B0A, 0xB622D7D5, + 0x979364B5, 0xB5F9D042, + 0x97B07E7A, 0xB5D0D41A, + 0x97CDA855, 0xB5A7E362, + 0x97EAE241, 0xB57EFE21, + 0x98082C3B, 0xB556245E, + 0x9825863D, 0xB52D561E, + 0x9842F043, 0xB5049368, + 0x98606A48, 0xB4DBDC42, + 0x987DF449, 0xB4B330B2, + 0x989B8E3F, 0xB48A90C0, + 0x98B93828, 0xB461FC70, + 0x98D6F1FE, 0xB43973C9, + 0x98F4BBBC, 0xB410F6D2, + 0x9912955E, 0xB3E88591, + 0x99307EE0, 0xB3C0200C, + 0x994E783C, 0xB397C649, + 0x996C816F, 0xB36F784E, + 0x998A9A73, 0xB3473622, + 0x99A8C344, 0xB31EFFCB, + 0x99C6FBDE, 0xB2F6D54F, + 0x99E5443A, 0xB2CEB6B5, + 0x9A039C56, 0xB2A6A401, + 0x9A22042C, 0xB27E9D3B, + 0x9A407BB8, 0xB256A26A, + 0x9A5F02F5, 0xB22EB392, + 0x9A7D99DD, 0xB206D0BA, + 0x9A9C406D, 0xB1DEF9E8, + 0x9ABAF6A0, 0xB1B72F23, + 0x9AD9BC71, 0xB18F7070, + 0x9AF891DB, 0xB167BDD6, + 0x9B1776D9, 0xB140175B, + 0x9B366B67, 0xB1187D05, + 0x9B556F80, 0xB0F0EEDA, + 0x9B748320, 0xB0C96CDF, + 0x9B93A640, 0xB0A1F71C, + 0x9BB2D8DD, 0xB07A8D97, + 0x9BD21AF2, 0xB0533055, + 0x9BF16C7A, 0xB02BDF5C, + 0x9C10CD70, 0xB0049AB2, + 0x9C303DCF, 0xAFDD625F, + 0x9C4FBD92, 0xAFB63667, + 0x9C6F4CB5, 0xAF8F16D0, + 0x9C8EEB33, 0xAF6803A1, + 0x9CAE9907, 0xAF40FCE0, + 0x9CCE562B, 0xAF1A0293, + 0x9CEE229C, 0xAEF314BF, + 0x9D0DFE53, 0xAECC336B, + 0x9D2DE94D, 0xAEA55E9D, + 0x9D4DE384, 0xAE7E965B, + 0x9D6DECF4, 0xAE57DAAA, + 0x9D8E0596, 0xAE312B91, + 0x9DAE2D68, 0xAE0A8916, + 0x9DCE6462, 0xADE3F33E, + 0x9DEEAA82, 0xADBD6A10, + 0x9E0EFFC1, 0xAD96ED91, + 0x9E2F641A, 0xAD707DC8, + 0x9E4FD789, 0xAD4A1ABA, + 0x9E705A09, 0xAD23C46D, + 0x9E90EB94, 0xACFD7AE8, + 0x9EB18C26, 0xACD73E30, + 0x9ED23BB9, 0xACB10E4A, + 0x9EF2FA48, 0xAC8AEB3E, + 0x9F13C7D0, 0xAC64D510, + 0x9F34A449, 0xAC3ECBC7, + 0x9F558FB0, 0xAC18CF68, + 0x9F7689FF, 0xABF2DFFA, + 0x9F979331, 0xABCCFD82, + 0x9FB8AB41, 0xABA72806, + 0x9FD9D22A, 0xAB815F8C, + 0x9FFB07E7, 0xAB5BA41A, + 0xA01C4C72, 0xAB35F5B5, + 0xA03D9FC7, 0xAB105464, + 0xA05F01E1, 0xAAEAC02B, + 0xA08072BA, 0xAAC53912, + 0xA0A1F24C, 0xAA9FBF1D, + 0xA0C38094, 0xAA7A5253, + 0xA0E51D8C, 0xAA54F2B9, + 0xA106C92E, 0xAA2FA055, + 0xA1288376, 0xAA0A5B2D, + 0xA14A4C5E, 0xA9E52347, + 0xA16C23E1, 0xA9BFF8A8, + 0xA18E09F9, 0xA99ADB56, + 0xA1AFFEA2, 0xA975CB56, + 0xA1D201D7, 0xA950C8AF, + 0xA1F41391, 0xA92BD366, + 0xA21633CD, 0xA906EB81, + 0xA2386283, 0xA8E21106, + 0xA25A9FB1, 0xA8BD43FA, + 0xA27CEB4F, 0xA8988463, + 0xA29F4559, 0xA873D246, + 0xA2C1ADC9, 0xA84F2DA9, + 0xA2E4249A, 0xA82A9693, + 0xA306A9C7, 0xA8060D08, + 0xA3293D4B, 0xA7E1910E, + 0xA34BDF20, 0xA7BD22AB, + 0xA36E8F40, 0xA798C1E4, + 0xA3914DA7, 0xA7746EC0, + 0xA3B41A4F, 0xA7502943, + 0xA3D6F533, 0xA72BF173, + 0xA3F9DE4D, 0xA707C756, + 0xA41CD598, 0xA6E3AAF2, + 0xA43FDB0F, 0xA6BF9C4B, + 0xA462EEAC, 0xA69B9B68, + 0xA4861069, 0xA677A84E, + 0xA4A94042, 0xA653C302, + 0xA4CC7E31, 0xA62FEB8B, + 0xA4EFCA31, 0xA60C21ED, + 0xA513243B, 0xA5E8662F, + 0xA5368C4B, 0xA5C4B855, + 0xA55A025B, 0xA5A11865, + 0xA57D8666, 0xA57D8666, + 0xA5A11865, 0xA55A025B, + 0xA5C4B855, 0xA5368C4B, + 0xA5E8662F, 0xA513243B, + 0xA60C21ED, 0xA4EFCA31, + 0xA62FEB8B, 0xA4CC7E31, + 0xA653C302, 0xA4A94042, + 0xA677A84E, 0xA4861069, + 0xA69B9B68, 0xA462EEAC, + 0xA6BF9C4B, 0xA43FDB0F, + 0xA6E3AAF2, 0xA41CD598, + 0xA707C756, 0xA3F9DE4D, + 0xA72BF173, 0xA3D6F533, + 0xA7502943, 0xA3B41A4F, + 0xA7746EC0, 0xA3914DA7, + 0xA798C1E4, 0xA36E8F40, + 0xA7BD22AB, 0xA34BDF20, + 0xA7E1910E, 0xA3293D4B, + 0xA8060D08, 0xA306A9C7, + 0xA82A9693, 0xA2E4249A, + 0xA84F2DA9, 0xA2C1ADC9, + 0xA873D246, 0xA29F4559, + 0xA8988463, 0xA27CEB4F, + 0xA8BD43FA, 0xA25A9FB1, + 0xA8E21106, 0xA2386283, + 0xA906EB81, 0xA21633CD, + 0xA92BD366, 0xA1F41391, + 0xA950C8AF, 0xA1D201D7, + 0xA975CB56, 0xA1AFFEA2, + 0xA99ADB56, 0xA18E09F9, + 0xA9BFF8A8, 0xA16C23E1, + 0xA9E52347, 0xA14A4C5E, + 0xAA0A5B2D, 0xA1288376, + 0xAA2FA055, 0xA106C92E, + 0xAA54F2B9, 0xA0E51D8C, + 0xAA7A5253, 0xA0C38094, + 0xAA9FBF1D, 0xA0A1F24C, + 0xAAC53912, 0xA08072BA, + 0xAAEAC02B, 0xA05F01E1, + 0xAB105464, 0xA03D9FC7, + 0xAB35F5B5, 0xA01C4C72, + 0xAB5BA41A, 0x9FFB07E7, + 0xAB815F8C, 0x9FD9D22A, + 0xABA72806, 0x9FB8AB41, + 0xABCCFD82, 0x9F979331, + 0xABF2DFFA, 0x9F7689FF, + 0xAC18CF68, 0x9F558FB0, + 0xAC3ECBC7, 0x9F34A449, + 0xAC64D510, 0x9F13C7D0, + 0xAC8AEB3E, 0x9EF2FA48, + 0xACB10E4A, 0x9ED23BB9, + 0xACD73E30, 0x9EB18C26, + 0xACFD7AE8, 0x9E90EB94, + 0xAD23C46D, 0x9E705A09, + 0xAD4A1ABA, 0x9E4FD789, + 0xAD707DC8, 0x9E2F641A, + 0xAD96ED91, 0x9E0EFFC1, + 0xADBD6A10, 0x9DEEAA82, + 0xADE3F33E, 0x9DCE6462, + 0xAE0A8916, 0x9DAE2D68, + 0xAE312B91, 0x9D8E0596, + 0xAE57DAAA, 0x9D6DECF4, + 0xAE7E965B, 0x9D4DE384, + 0xAEA55E9D, 0x9D2DE94D, + 0xAECC336B, 0x9D0DFE53, + 0xAEF314BF, 0x9CEE229C, + 0xAF1A0293, 0x9CCE562B, + 0xAF40FCE0, 0x9CAE9907, + 0xAF6803A1, 0x9C8EEB33, + 0xAF8F16D0, 0x9C6F4CB5, + 0xAFB63667, 0x9C4FBD92, + 0xAFDD625F, 0x9C303DCF, + 0xB0049AB2, 0x9C10CD70, + 0xB02BDF5C, 0x9BF16C7A, + 0xB0533055, 0x9BD21AF2, + 0xB07A8D97, 0x9BB2D8DD, + 0xB0A1F71C, 0x9B93A640, + 0xB0C96CDF, 0x9B748320, + 0xB0F0EEDA, 0x9B556F80, + 0xB1187D05, 0x9B366B67, + 0xB140175B, 0x9B1776D9, + 0xB167BDD6, 0x9AF891DB, + 0xB18F7070, 0x9AD9BC71, + 0xB1B72F23, 0x9ABAF6A0, + 0xB1DEF9E8, 0x9A9C406D, + 0xB206D0BA, 0x9A7D99DD, + 0xB22EB392, 0x9A5F02F5, + 0xB256A26A, 0x9A407BB8, + 0xB27E9D3B, 0x9A22042C, + 0xB2A6A401, 0x9A039C56, + 0xB2CEB6B5, 0x99E5443A, + 0xB2F6D54F, 0x99C6FBDE, + 0xB31EFFCB, 0x99A8C344, + 0xB3473622, 0x998A9A73, + 0xB36F784E, 0x996C816F, + 0xB397C649, 0x994E783C, + 0xB3C0200C, 0x99307EE0, + 0xB3E88591, 0x9912955E, + 0xB410F6D2, 0x98F4BBBC, + 0xB43973C9, 0x98D6F1FE, + 0xB461FC70, 0x98B93828, + 0xB48A90C0, 0x989B8E3F, + 0xB4B330B2, 0x987DF449, + 0xB4DBDC42, 0x98606A48, + 0xB5049368, 0x9842F043, + 0xB52D561E, 0x9825863D, + 0xB556245E, 0x98082C3B, + 0xB57EFE21, 0x97EAE241, + 0xB5A7E362, 0x97CDA855, + 0xB5D0D41A, 0x97B07E7A, + 0xB5F9D042, 0x979364B5, + 0xB622D7D5, 0x97765B0A, + 0xB64BEACC, 0x9759617E, + 0xB6750921, 0x973C7816, + 0xB69E32CD, 0x971F9ED6, + 0xB6C767CA, 0x9702D5C2, + 0xB6F0A811, 0x96E61CDF, + 0xB719F39D, 0x96C97431, + 0xB7434A67, 0x96ACDBBD, + 0xB76CAC68, 0x96905387, + 0xB796199B, 0x9673DB94, + 0xB7BF91F8, 0x965773E7, + 0xB7E9157A, 0x963B1C85, + 0xB812A419, 0x961ED573, + 0xB83C3DD1, 0x96029EB5, + 0xB865E299, 0x95E6784F, + 0xB88F926C, 0x95CA6246, + 0xB8B94D44, 0x95AE5C9E, + 0xB8E31319, 0x9592675B, + 0xB90CE3E6, 0x95768282, + 0xB936BFA3, 0x955AAE17, + 0xB960A64B, 0x953EEA1E, + 0xB98A97D8, 0x9523369B, + 0xB9B49442, 0x95079393, + 0xB9DE9B83, 0x94EC010B, + 0xBA08AD94, 0x94D07F05, + 0xBA32CA70, 0x94B50D87, + 0xBA5CF210, 0x9499AC95, + 0xBA87246C, 0x947E5C32, + 0xBAB1617F, 0x94631C64, + 0xBADBA943, 0x9447ED2F, + 0xBB05FBB0, 0x942CCE95, + 0xBB3058C0, 0x9411C09D, + 0xBB5AC06C, 0x93F6C34A, + 0xBB8532AF, 0x93DBD69F, + 0xBBAFAF81, 0x93C0FAA2, + 0xBBDA36DC, 0x93A62F56, + 0xBC04C8BA, 0x938B74C0, + 0xBC2F6513, 0x9370CAE4, + 0xBC5A0BE1, 0x935631C5, + 0xBC84BD1E, 0x933BA968, + 0xBCAF78C3, 0x932131D1, + 0xBCDA3ECA, 0x9306CB04, + 0xBD050F2C, 0x92EC7505, + 0xBD2FE9E1, 0x92D22FD8, + 0xBD5ACEE5, 0x92B7FB82, + 0xBD85BE2F, 0x929DD805, + 0xBDB0B7BA, 0x9283C567, + 0xBDDBBB7F, 0x9269C3AC, + 0xBE06C977, 0x924FD2D6, + 0xBE31E19B, 0x9235F2EB, + 0xBE5D03E5, 0x921C23EE, + 0xBE88304F, 0x920265E4, + 0xBEB366D1, 0x91E8B8D0, + 0xBEDEA765, 0x91CF1CB6, + 0xBF09F204, 0x91B5919A, + 0xBF3546A8, 0x919C1780, + 0xBF60A54A, 0x9182AE6C, + 0xBF8C0DE2, 0x91695663, + 0xBFB7806C, 0x91500F67, + 0xBFE2FCDF, 0x9136D97D, + 0xC00E8335, 0x911DB4A8, + 0xC03A1368, 0x9104A0ED, + 0xC065AD70, 0x90EB9E50, + 0xC0915147, 0x90D2ACD3, + 0xC0BCFEE7, 0x90B9CC7C, + 0xC0E8B648, 0x90A0FD4E, + 0xC1147763, 0x90883F4C, + 0xC1404233, 0x906F927B, + 0xC16C16B0, 0x9056F6DF, + 0xC197F4D3, 0x903E6C7A, + 0xC1C3DC96, 0x9025F352, + 0xC1EFCDF2, 0x900D8B69, + 0xC21BC8E0, 0x8FF534C4, + 0xC247CD5A, 0x8FDCEF66, + 0xC273DB58, 0x8FC4BB53, + 0xC29FF2D4, 0x8FAC988E, + 0xC2CC13C7, 0x8F94871D, + 0xC2F83E2A, 0x8F7C8701, + 0xC32471F6, 0x8F64983F, + 0xC350AF25, 0x8F4CBADB, + 0xC37CF5B0, 0x8F34EED8, + 0xC3A9458F, 0x8F1D343A, + 0xC3D59EBD, 0x8F058B04, + 0xC4020132, 0x8EEDF33B, + 0xC42E6CE8, 0x8ED66CE1, + 0xC45AE1D7, 0x8EBEF7FB, + 0xC4875FF8, 0x8EA7948C, + 0xC4B3E746, 0x8E904298, + 0xC4E077B8, 0x8E790222, + 0xC50D1148, 0x8E61D32D, + 0xC539B3F0, 0x8E4AB5BF, + 0xC5665FA8, 0x8E33A9D9, + 0xC593146A, 0x8E1CAF80, + 0xC5BFD22E, 0x8E05C6B7, + 0xC5EC98ED, 0x8DEEEF82, + 0xC61968A2, 0x8DD829E4, + 0xC6464144, 0x8DC175E0, + 0xC67322CD, 0x8DAAD37B, + 0xC6A00D36, 0x8D9442B7, + 0xC6CD0079, 0x8D7DC399, + 0xC6F9FC8D, 0x8D675623, + 0xC727016C, 0x8D50FA59, + 0xC7540F10, 0x8D3AB03F, + 0xC7812571, 0x8D2477D8, + 0xC7AE4489, 0x8D0E5127, + 0xC7DB6C50, 0x8CF83C30, + 0xC8089CBF, 0x8CE238F6, + 0xC835D5D0, 0x8CCC477D, + 0xC863177B, 0x8CB667C7, + 0xC89061BA, 0x8CA099D9, + 0xC8BDB485, 0x8C8ADDB6, + 0xC8EB0FD6, 0x8C753361, + 0xC91873A5, 0x8C5F9ADD, + 0xC945DFEC, 0x8C4A142F, + 0xC97354A3, 0x8C349F58, + 0xC9A0D1C4, 0x8C1F3C5C, + 0xC9CE5748, 0x8C09EB40, + 0xC9FBE527, 0x8BF4AC05, + 0xCA297B5A, 0x8BDF7EAF, + 0xCA5719DB, 0x8BCA6342, + 0xCA84C0A2, 0x8BB559C1, + 0xCAB26FA9, 0x8BA0622F, + 0xCAE026E8, 0x8B8B7C8F, + 0xCB0DE658, 0x8B76A8E4, + 0xCB3BADF2, 0x8B61E732, + 0xCB697DB0, 0x8B4D377C, + 0xCB975589, 0x8B3899C5, + 0xCBC53578, 0x8B240E10, + 0xCBF31D75, 0x8B0F9461, + 0xCC210D78, 0x8AFB2CBA, + 0xCC4F057B, 0x8AE6D71F, + 0xCC7D0577, 0x8AD29393, + 0xCCAB0D65, 0x8ABE6219, + 0xCCD91D3D, 0x8AAA42B4, + 0xCD0734F8, 0x8A963567, + 0xCD355490, 0x8A823A35, + 0xCD637BFD, 0x8A6E5122, + 0xCD91AB38, 0x8A5A7A30, + 0xCDBFE23A, 0x8A46B563, + 0xCDEE20FC, 0x8A3302BD, + 0xCE1C6776, 0x8A1F6242, + 0xCE4AB5A2, 0x8A0BD3F5, + 0xCE790B78, 0x89F857D8, + 0xCEA768F2, 0x89E4EDEE, + 0xCED5CE08, 0x89D1963C, + 0xCF043AB2, 0x89BE50C3, + 0xCF32AEEB, 0x89AB1D86, + 0xCF612AAA, 0x8997FC89, + 0xCF8FADE8, 0x8984EDCF, + 0xCFBE389F, 0x8971F15A, + 0xCFECCAC7, 0x895F072D, + 0xD01B6459, 0x894C2F4C, + 0xD04A054D, 0x893969B9, + 0xD078AD9D, 0x8926B677, + 0xD0A75D42, 0x89141589, + 0xD0D61433, 0x890186F1, + 0xD104D26B, 0x88EF0AB4, + 0xD13397E1, 0x88DCA0D3, + 0xD162648F, 0x88CA4951, + 0xD191386D, 0x88B80431, + 0xD1C01374, 0x88A5D177, + 0xD1EEF59E, 0x8893B124, + 0xD21DDEE1, 0x8881A33C, + 0xD24CCF38, 0x886FA7C2, + 0xD27BC69C, 0x885DBEB7, + 0xD2AAC504, 0x884BE820, + 0xD2D9CA6A, 0x883A23FE, + 0xD308D6C6, 0x88287255, + 0xD337EA12, 0x8816D327, + 0xD3670445, 0x88054677, + 0xD3962559, 0x87F3CC47, + 0xD3C54D46, 0x87E2649B, + 0xD3F47C06, 0x87D10F75, + 0xD423B190, 0x87BFCCD7, + 0xD452EDDE, 0x87AE9CC5, + 0xD48230E8, 0x879D7F40, + 0xD4B17AA7, 0x878C744C, + 0xD4E0CB14, 0x877B7BEC, + 0xD5102227, 0x876A9621, + 0xD53F7FDA, 0x8759C2EF, + 0xD56EE424, 0x87490257, + 0xD59E4EFE, 0x8738545E, + 0xD5CDC062, 0x8727B904, + 0xD5FD3847, 0x8717304E, + 0xD62CB6A7, 0x8706BA3C, + 0xD65C3B7B, 0x86F656D3, + 0xD68BC6BA, 0x86E60614, + 0xD6BB585D, 0x86D5C802, + 0xD6EAF05E, 0x86C59C9F, + 0xD71A8EB5, 0x86B583EE, + 0xD74A335A, 0x86A57DF1, + 0xD779DE46, 0x86958AAB, + 0xD7A98F73, 0x8685AA1F, + 0xD7D946D7, 0x8675DC4E, + 0xD809046D, 0x8666213C, + 0xD838C82D, 0x865678EA, + 0xD868920F, 0x8646E35B, + 0xD898620C, 0x86376092, + 0xD8C8381C, 0x8627F090, + 0xD8F81439, 0x86189359, + 0xD927F65B, 0x860948EE, + 0xD957DE7A, 0x85FA1152, + 0xD987CC8F, 0x85EAEC88, + 0xD9B7C093, 0x85DBDA91, + 0xD9E7BA7E, 0x85CCDB70, + 0xDA17BA4A, 0x85BDEF27, + 0xDA47BFED, 0x85AF15B9, + 0xDA77CB62, 0x85A04F28, + 0xDAA7DCA1, 0x85919B75, + 0xDAD7F3A2, 0x8582FAA4, + 0xDB08105E, 0x85746CB7, + 0xDB3832CD, 0x8565F1B0, + 0xDB685AE8, 0x85578991, + 0xDB9888A8, 0x8549345C, + 0xDBC8BC05, 0x853AF214, + 0xDBF8F4F8, 0x852CC2BA, + 0xDC293379, 0x851EA652, + 0xDC597781, 0x85109CDC, + 0xDC89C108, 0x8502A65C, + 0xDCBA1008, 0x84F4C2D3, + 0xDCEA6478, 0x84E6F244, + 0xDD1ABE51, 0x84D934B0, + 0xDD4B1D8B, 0x84CB8A1B, + 0xDD7B8220, 0x84BDF285, + 0xDDABEC07, 0x84B06DF1, + 0xDDDC5B3A, 0x84A2FC62, + 0xDE0CCFB1, 0x84959DD9, + 0xDE3D4963, 0x84885257, + 0xDE6DC84B, 0x847B19E1, + 0xDE9E4C60, 0x846DF476, + 0xDECED59B, 0x8460E21A, + 0xDEFF63F4, 0x8453E2CE, + 0xDF2FF764, 0x8446F695, + 0xDF608FE3, 0x843A1D70, + 0xDF912D6A, 0x842D5761, + 0xDFC1CFF2, 0x8420A46B, + 0xDFF27773, 0x8414048F, + 0xE02323E5, 0x840777CF, + 0xE053D541, 0x83FAFE2E, + 0xE0848B7F, 0x83EE97AC, + 0xE0B54698, 0x83E2444D, + 0xE0E60684, 0x83D60411, + 0xE116CB3D, 0x83C9D6FB, + 0xE14794B9, 0x83BDBD0D, + 0xE17862F3, 0x83B1B649, + 0xE1A935E1, 0x83A5C2B0, + 0xE1DA0D7E, 0x8399E244, + 0xE20AE9C1, 0x838E1507, + 0xE23BCAA2, 0x83825AFB, + 0xE26CB01A, 0x8376B422, + 0xE29D9A22, 0x836B207D, + 0xE2CE88B2, 0x835FA00E, + 0xE2FF7BC3, 0x835432D8, + 0xE330734C, 0x8348D8DB, + 0xE3616F47, 0x833D921A, + 0xE3926FAC, 0x83325E97, + 0xE3C37473, 0x83273E52, + 0xE3F47D95, 0x831C314E, + 0xE4258B0A, 0x8311378C, + 0xE4569CCB, 0x8306510F, + 0xE487B2CF, 0x82FB7DD8, + 0xE4B8CD10, 0x82F0BDE8, + 0xE4E9EB86, 0x82E61141, + 0xE51B0E2A, 0x82DB77E5, + 0xE54C34F3, 0x82D0F1D5, + 0xE57D5FDA, 0x82C67F13, + 0xE5AE8ED8, 0x82BC1FA1, + 0xE5DFC1E4, 0x82B1D381, + 0xE610F8F9, 0x82A79AB3, + 0xE642340D, 0x829D753A, + 0xE6737319, 0x82936316, + 0xE6A4B616, 0x8289644A, + 0xE6D5FCFC, 0x827F78D8, + 0xE70747C3, 0x8275A0C0, + 0xE7389664, 0x826BDC04, + 0xE769E8D8, 0x82622AA5, + 0xE79B3F16, 0x82588CA6, + 0xE7CC9917, 0x824F0208, + 0xE7FDF6D3, 0x82458ACB, + 0xE82F5844, 0x823C26F2, + 0xE860BD60, 0x8232D67E, + 0xE8922621, 0x82299971, + 0xE8C3927F, 0x82206FCB, + 0xE8F50273, 0x8217598F, + 0xE92675F4, 0x820E56BE, + 0xE957ECFB, 0x82056758, + 0xE9896780, 0x81FC8B60, + 0xE9BAE57C, 0x81F3C2D7, + 0xE9EC66E8, 0x81EB0DBD, + 0xEA1DEBBB, 0x81E26C16, + 0xEA4F73EE, 0x81D9DDE1, + 0xEA80FF79, 0x81D16320, + 0xEAB28E55, 0x81C8FBD5, + 0xEAE4207A, 0x81C0A801, + 0xEB15B5E0, 0x81B867A4, + 0xEB474E80, 0x81B03AC1, + 0xEB78EA52, 0x81A82159, + 0xEBAA894E, 0x81A01B6C, + 0xEBDC2B6D, 0x819828FD, + 0xEC0DD0A8, 0x81904A0C, + 0xEC3F78F5, 0x81887E9A, + 0xEC71244F, 0x8180C6A9, + 0xECA2D2AC, 0x8179223A, + 0xECD48406, 0x8171914E, + 0xED063855, 0x816A13E6, + 0xED37EF91, 0x8162AA03, + 0xED69A9B2, 0x815B53A8, + 0xED9B66B2, 0x815410D3, + 0xEDCD2687, 0x814CE188, + 0xEDFEE92B, 0x8145C5C6, + 0xEE30AE95, 0x813EBD90, + 0xEE6276BF, 0x8137C8E6, + 0xEE9441A0, 0x8130E7C8, + 0xEEC60F31, 0x812A1A39, + 0xEEF7DF6A, 0x81236039, + 0xEF29B243, 0x811CB9CA, + 0xEF5B87B5, 0x811626EC, + 0xEF8D5FB8, 0x810FA7A0, + 0xEFBF3A44, 0x81093BE8, + 0xEFF11752, 0x8102E3C3, + 0xF022F6DA, 0x80FC9F35, + 0xF054D8D4, 0x80F66E3C, + 0xF086BD39, 0x80F050DB, + 0xF0B8A401, 0x80EA4712, + 0xF0EA8D23, 0x80E450E2, + 0xF11C789A, 0x80DE6E4C, + 0xF14E665C, 0x80D89F51, + 0xF1805662, 0x80D2E3F1, + 0xF1B248A5, 0x80CD3C2F, + 0xF1E43D1C, 0x80C7A80A, + 0xF21633C0, 0x80C22783, + 0xF2482C89, 0x80BCBA9C, + 0xF27A2770, 0x80B76155, + 0xF2AC246D, 0x80B21BAF, + 0xF2DE2378, 0x80ACE9AB, + 0xF310248A, 0x80A7CB49, + 0xF342279A, 0x80A2C08B, + 0xF3742CA1, 0x809DC970, + 0xF3A63398, 0x8098E5FB, + 0xF3D83C76, 0x8094162B, + 0xF40A4734, 0x808F5A02, + 0xF43C53CA, 0x808AB180, + 0xF46E6231, 0x80861CA5, + 0xF4A07260, 0x80819B74, + 0xF4D28451, 0x807D2DEB, + 0xF50497FA, 0x8078D40D, + 0xF536AD55, 0x80748DD9, + 0xF568C45A, 0x80705B50, + 0xF59ADD01, 0x806C3C73, + 0xF5CCF743, 0x80683143, + 0xF5FF1317, 0x806439C0, + 0xF6313076, 0x806055EA, + 0xF6634F58, 0x805C85C3, + 0xF6956FB6, 0x8058C94C, + 0xF6C79188, 0x80552083, + 0xF6F9B4C5, 0x80518B6B, + 0xF72BD967, 0x804E0A03, + 0xF75DFF65, 0x804A9C4D, + 0xF79026B8, 0x80474248, + 0xF7C24F58, 0x8043FBF6, + 0xF7F4793E, 0x8040C956, + 0xF826A461, 0x803DAA69, + 0xF858D0BA, 0x803A9F31, + 0xF88AFE41, 0x8037A7AC, + 0xF8BD2CEF, 0x8034C3DC, + 0xF8EF5CBB, 0x8031F3C1, + 0xF9218D9E, 0x802F375C, + 0xF953BF90, 0x802C8EAD, + 0xF985F28A, 0x8029F9B4, + 0xF9B82683, 0x80277872, + 0xF9EA5B75, 0x80250AE7, + 0xFA1C9156, 0x8022B113, + 0xFA4EC820, 0x80206AF8, + 0xFA80FFCB, 0x801E3894, + 0xFAB3384F, 0x801C19E9, + 0xFAE571A4, 0x801A0EF7, + 0xFB17ABC2, 0x801817BF, + 0xFB49E6A2, 0x80163440, + 0xFB7C223C, 0x8014647A, + 0xFBAE5E89, 0x8012A86F, + 0xFBE09B80, 0x8011001E, + 0xFC12D919, 0x800F6B88, + 0xFC45174E, 0x800DEAAC, + 0xFC775616, 0x800C7D8C, + 0xFCA99569, 0x800B2427, + 0xFCDBD541, 0x8009DE7D, + 0xFD0E1594, 0x8008AC90, + 0xFD40565B, 0x80078E5E, + 0xFD72978F, 0x800683E8, + 0xFDA4D928, 0x80058D2E, + 0xFDD71B1E, 0x8004AA31, + 0xFE095D69, 0x8003DAF0, + 0xFE3BA001, 0x80031F6C, + 0xFE6DE2E0, 0x800277A5, + 0xFEA025FC, 0x8001E39B, + 0xFED2694F, 0x8001634D, + 0xFF04ACD0, 0x8000F6BD, + 0xFF36F078, 0x80009DE9, + 0xFF69343E, 0x800058D3, + 0xFF9B781D, 0x8000277A, + 0xFFCDBC0A, 0x800009DE +}; + + + +/* +* @brief q15 Twiddle factors Table +*/ + + +/** +* \par +* Example code for q15 Twiddle factors Generation:: +* \par +* <pre>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); +* } </pre> +* \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] = { + 0x7FFF, 0x0000, + 0x7641, 0x30FB, + 0x5A82, 0x5A82, + 0x30FB, 0x7641, + 0x0000, 0x7FFF, + 0xCF04, 0x7641, + 0xA57D, 0x5A82, + 0x89BE, 0x30FB, + 0x8000, 0x0000, + 0x89BE, 0xCF04, + 0xA57D, 0xA57D, + 0xCF04, 0x89BE +}; + +/** +* \par +* Example code for q15 Twiddle factors Generation:: +* \par +* <pre>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); +* } </pre> +* \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] = { + 0x7FFF, 0x0000, + 0x7D8A, 0x18F8, + 0x7641, 0x30FB, + 0x6A6D, 0x471C, + 0x5A82, 0x5A82, + 0x471C, 0x6A6D, + 0x30FB, 0x7641, + 0x18F8, 0x7D8A, + 0x0000, 0x7FFF, + 0xE707, 0x7D8A, + 0xCF04, 0x7641, + 0xB8E3, 0x6A6D, + 0xA57D, 0x5A82, + 0x9592, 0x471C, + 0x89BE, 0x30FB, + 0x8275, 0x18F8, + 0x8000, 0x0000, + 0x8275, 0xE707, + 0x89BE, 0xCF04, + 0x9592, 0xB8E3, + 0xA57D, 0xA57D, + 0xB8E3, 0x9592, + 0xCF04, 0x89BE, + 0xE707, 0x8275 +}; + +/** +* \par +* Example code for q15 Twiddle factors Generation:: +* \par +* <pre>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); +* } </pre> +* \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] = { + 0x7FFF, 0x0000, + 0x7F62, 0x0C8B, + 0x7D8A, 0x18F8, + 0x7A7D, 0x2528, + 0x7641, 0x30FB, + 0x70E2, 0x3C56, + 0x6A6D, 0x471C, + 0x62F2, 0x5133, + 0x5A82, 0x5A82, + 0x5133, 0x62F2, + 0x471C, 0x6A6D, + 0x3C56, 0x70E2, + 0x30FB, 0x7641, + 0x2528, 0x7A7D, + 0x18F8, 0x7D8A, + 0x0C8B, 0x7F62, + 0x0000, 0x7FFF, + 0xF374, 0x7F62, + 0xE707, 0x7D8A, + 0xDAD7, 0x7A7D, + 0xCF04, 0x7641, + 0xC3A9, 0x70E2, + 0xB8E3, 0x6A6D, + 0xAECC, 0x62F2, + 0xA57D, 0x5A82, + 0x9D0D, 0x5133, + 0x9592, 0x471C, + 0x8F1D, 0x3C56, + 0x89BE, 0x30FB, + 0x8582, 0x2528, + 0x8275, 0x18F8, + 0x809D, 0x0C8B, + 0x8000, 0x0000, + 0x809D, 0xF374, + 0x8275, 0xE707, + 0x8582, 0xDAD7, + 0x89BE, 0xCF04, + 0x8F1D, 0xC3A9, + 0x9592, 0xB8E3, + 0x9D0D, 0xAECC, + 0xA57D, 0xA57D, + 0xAECC, 0x9D0D, + 0xB8E3, 0x9592, + 0xC3A9, 0x8F1D, + 0xCF04, 0x89BE, + 0xDAD7, 0x8582, + 0xE707, 0x8275, + 0xF374, 0x809D +}; + +/** +* \par +* Example code for q15 Twiddle factors Generation:: +* \par +* <pre>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); +* } </pre> +* \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] = { + 0x7FFF, 0x0000, + 0x7FD8, 0x0647, + 0x7F62, 0x0C8B, + 0x7E9D, 0x12C8, + 0x7D8A, 0x18F8, + 0x7C29, 0x1F19, + 0x7A7D, 0x2528, + 0x7884, 0x2B1F, + 0x7641, 0x30FB, + 0x73B5, 0x36BA, + 0x70E2, 0x3C56, + 0x6DCA, 0x41CE, + 0x6A6D, 0x471C, + 0x66CF, 0x4C3F, + 0x62F2, 0x5133, + 0x5ED7, 0x55F5, + 0x5A82, 0x5A82, + 0x55F5, 0x5ED7, + 0x5133, 0x62F2, + 0x4C3F, 0x66CF, + 0x471C, 0x6A6D, + 0x41CE, 0x6DCA, + 0x3C56, 0x70E2, + 0x36BA, 0x73B5, + 0x30FB, 0x7641, + 0x2B1F, 0x7884, + 0x2528, 0x7A7D, + 0x1F19, 0x7C29, + 0x18F8, 0x7D8A, + 0x12C8, 0x7E9D, + 0x0C8B, 0x7F62, + 0x0647, 0x7FD8, + 0x0000, 0x7FFF, + 0xF9B8, 0x7FD8, + 0xF374, 0x7F62, + 0xED37, 0x7E9D, + 0xE707, 0x7D8A, + 0xE0E6, 0x7C29, + 0xDAD7, 0x7A7D, + 0xD4E0, 0x7884, + 0xCF04, 0x7641, + 0xC945, 0x73B5, + 0xC3A9, 0x70E2, + 0xBE31, 0x6DCA, + 0xB8E3, 0x6A6D, + 0xB3C0, 0x66CF, + 0xAECC, 0x62F2, + 0xAA0A, 0x5ED7, + 0xA57D, 0x5A82, + 0xA128, 0x55F5, + 0x9D0D, 0x5133, + 0x9930, 0x4C3F, + 0x9592, 0x471C, + 0x9235, 0x41CE, + 0x8F1D, 0x3C56, + 0x8C4A, 0x36BA, + 0x89BE, 0x30FB, + 0x877B, 0x2B1F, + 0x8582, 0x2528, + 0x83D6, 0x1F19, + 0x8275, 0x18F8, + 0x8162, 0x12C8, + 0x809D, 0x0C8B, + 0x8027, 0x0647, + 0x8000, 0x0000, + 0x8027, 0xF9B8, + 0x809D, 0xF374, + 0x8162, 0xED37, + 0x8275, 0xE707, + 0x83D6, 0xE0E6, + 0x8582, 0xDAD7, + 0x877B, 0xD4E0, + 0x89BE, 0xCF04, + 0x8C4A, 0xC945, + 0x8F1D, 0xC3A9, + 0x9235, 0xBE31, + 0x9592, 0xB8E3, + 0x9930, 0xB3C0, + 0x9D0D, 0xAECC, + 0xA128, 0xAA0A, + 0xA57D, 0xA57D, + 0xAA0A, 0xA128, + 0xAECC, 0x9D0D, + 0xB3C0, 0x9930, + 0xB8E3, 0x9592, + 0xBE31, 0x9235, + 0xC3A9, 0x8F1D, + 0xC945, 0x8C4A, + 0xCF04, 0x89BE, + 0xD4E0, 0x877B, + 0xDAD7, 0x8582, + 0xE0E6, 0x83D6, + 0xE707, 0x8275, + 0xED37, 0x8162, + 0xF374, 0x809D, + 0xF9B8, 0x8027 +}; + +/** +* \par +* Example code for q15 Twiddle factors Generation:: +* \par +* <pre>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); +* } </pre> +* \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] = { + 0x7FFF, 0x0000, + 0x7FF6, 0x0324, + 0x7FD8, 0x0647, + 0x7FA7, 0x096A, + 0x7F62, 0x0C8B, + 0x7F09, 0x0FAB, + 0x7E9D, 0x12C8, + 0x7E1D, 0x15E2, + 0x7D8A, 0x18F8, + 0x7CE3, 0x1C0B, + 0x7C29, 0x1F19, + 0x7B5D, 0x2223, + 0x7A7D, 0x2528, + 0x798A, 0x2826, + 0x7884, 0x2B1F, + 0x776C, 0x2E11, + 0x7641, 0x30FB, + 0x7504, 0x33DE, + 0x73B5, 0x36BA, + 0x7255, 0x398C, + 0x70E2, 0x3C56, + 0x6F5F, 0x3F17, + 0x6DCA, 0x41CE, + 0x6C24, 0x447A, + 0x6A6D, 0x471C, + 0x68A6, 0x49B4, + 0x66CF, 0x4C3F, + 0x64E8, 0x4EBF, + 0x62F2, 0x5133, + 0x60EC, 0x539B, + 0x5ED7, 0x55F5, + 0x5CB4, 0x5842, + 0x5A82, 0x5A82, + 0x5842, 0x5CB4, + 0x55F5, 0x5ED7, + 0x539B, 0x60EC, + 0x5133, 0x62F2, + 0x4EBF, 0x64E8, + 0x4C3F, 0x66CF, + 0x49B4, 0x68A6, + 0x471C, 0x6A6D, + 0x447A, 0x6C24, + 0x41CE, 0x6DCA, + 0x3F17, 0x6F5F, + 0x3C56, 0x70E2, + 0x398C, 0x7255, + 0x36BA, 0x73B5, + 0x33DE, 0x7504, + 0x30FB, 0x7641, + 0x2E11, 0x776C, + 0x2B1F, 0x7884, + 0x2826, 0x798A, + 0x2528, 0x7A7D, + 0x2223, 0x7B5D, + 0x1F19, 0x7C29, + 0x1C0B, 0x7CE3, + 0x18F8, 0x7D8A, + 0x15E2, 0x7E1D, + 0x12C8, 0x7E9D, + 0x0FAB, 0x7F09, + 0x0C8B, 0x7F62, + 0x096A, 0x7FA7, + 0x0647, 0x7FD8, + 0x0324, 0x7FF6, + 0x0000, 0x7FFF, + 0xFCDB, 0x7FF6, + 0xF9B8, 0x7FD8, + 0xF695, 0x7FA7, + 0xF374, 0x7F62, + 0xF054, 0x7F09, + 0xED37, 0x7E9D, + 0xEA1D, 0x7E1D, + 0xE707, 0x7D8A, + 0xE3F4, 0x7CE3, + 0xE0E6, 0x7C29, + 0xDDDC, 0x7B5D, + 0xDAD7, 0x7A7D, + 0xD7D9, 0x798A, + 0xD4E0, 0x7884, + 0xD1EE, 0x776C, + 0xCF04, 0x7641, + 0xCC21, 0x7504, + 0xC945, 0x73B5, + 0xC673, 0x7255, + 0xC3A9, 0x70E2, + 0xC0E8, 0x6F5F, + 0xBE31, 0x6DCA, + 0xBB85, 0x6C24, + 0xB8E3, 0x6A6D, + 0xB64B, 0x68A6, + 0xB3C0, 0x66CF, + 0xB140, 0x64E8, + 0xAECC, 0x62F2, + 0xAC64, 0x60EC, + 0xAA0A, 0x5ED7, + 0xA7BD, 0x5CB4, + 0xA57D, 0x5A82, + 0xA34B, 0x5842, + 0xA128, 0x55F5, + 0x9F13, 0x539B, + 0x9D0D, 0x5133, + 0x9B17, 0x4EBF, + 0x9930, 0x4C3F, + 0x9759, 0x49B4, + 0x9592, 0x471C, + 0x93DB, 0x447A, + 0x9235, 0x41CE, + 0x90A0, 0x3F17, + 0x8F1D, 0x3C56, + 0x8DAA, 0x398C, + 0x8C4A, 0x36BA, + 0x8AFB, 0x33DE, + 0x89BE, 0x30FB, + 0x8893, 0x2E11, + 0x877B, 0x2B1F, + 0x8675, 0x2826, + 0x8582, 0x2528, + 0x84A2, 0x2223, + 0x83D6, 0x1F19, + 0x831C, 0x1C0B, + 0x8275, 0x18F8, + 0x81E2, 0x15E2, + 0x8162, 0x12C8, + 0x80F6, 0x0FAB, + 0x809D, 0x0C8B, + 0x8058, 0x096A, + 0x8027, 0x0647, + 0x8009, 0x0324, + 0x8000, 0x0000, + 0x8009, 0xFCDB, + 0x8027, 0xF9B8, + 0x8058, 0xF695, + 0x809D, 0xF374, + 0x80F6, 0xF054, + 0x8162, 0xED37, + 0x81E2, 0xEA1D, + 0x8275, 0xE707, + 0x831C, 0xE3F4, + 0x83D6, 0xE0E6, + 0x84A2, 0xDDDC, + 0x8582, 0xDAD7, + 0x8675, 0xD7D9, + 0x877B, 0xD4E0, + 0x8893, 0xD1EE, + 0x89BE, 0xCF04, + 0x8AFB, 0xCC21, + 0x8C4A, 0xC945, + 0x8DAA, 0xC673, + 0x8F1D, 0xC3A9, + 0x90A0, 0xC0E8, + 0x9235, 0xBE31, + 0x93DB, 0xBB85, + 0x9592, 0xB8E3, + 0x9759, 0xB64B, + 0x9930, 0xB3C0, + 0x9B17, 0xB140, + 0x9D0D, 0xAECC, + 0x9F13, 0xAC64, + 0xA128, 0xAA0A, + 0xA34B, 0xA7BD, + 0xA57D, 0xA57D, + 0xA7BD, 0xA34B, + 0xAA0A, 0xA128, + 0xAC64, 0x9F13, + 0xAECC, 0x9D0D, + 0xB140, 0x9B17, + 0xB3C0, 0x9930, + 0xB64B, 0x9759, + 0xB8E3, 0x9592, + 0xBB85, 0x93DB, + 0xBE31, 0x9235, + 0xC0E8, 0x90A0, + 0xC3A9, 0x8F1D, + 0xC673, 0x8DAA, + 0xC945, 0x8C4A, + 0xCC21, 0x8AFB, + 0xCF04, 0x89BE, + 0xD1EE, 0x8893, + 0xD4E0, 0x877B, + 0xD7D9, 0x8675, + 0xDAD7, 0x8582, + 0xDDDC, 0x84A2, + 0xE0E6, 0x83D6, + 0xE3F4, 0x831C, + 0xE707, 0x8275, + 0xEA1D, 0x81E2, + 0xED37, 0x8162, + 0xF054, 0x80F6, + 0xF374, 0x809D, + 0xF695, 0x8058, + 0xF9B8, 0x8027, + 0xFCDB, 0x8009 +}; + +/** +* \par +* Example code for q15 Twiddle factors Generation:: +* \par +* <pre>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); +* } </pre> +* \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] = { + 0x7FFF, 0x0000, + 0x7FFD, 0x0192, + 0x7FF6, 0x0324, + 0x7FE9, 0x04B6, + 0x7FD8, 0x0647, + 0x7FC2, 0x07D9, + 0x7FA7, 0x096A, + 0x7F87, 0x0AFB, + 0x7F62, 0x0C8B, + 0x7F38, 0x0E1B, + 0x7F09, 0x0FAB, + 0x7ED5, 0x1139, + 0x7E9D, 0x12C8, + 0x7E5F, 0x1455, + 0x7E1D, 0x15E2, + 0x7DD6, 0x176D, + 0x7D8A, 0x18F8, + 0x7D39, 0x1A82, + 0x7CE3, 0x1C0B, + 0x7C89, 0x1D93, + 0x7C29, 0x1F19, + 0x7BC5, 0x209F, + 0x7B5D, 0x2223, + 0x7AEF, 0x23A6, + 0x7A7D, 0x2528, + 0x7A05, 0x26A8, + 0x798A, 0x2826, + 0x7909, 0x29A3, + 0x7884, 0x2B1F, + 0x77FA, 0x2C98, + 0x776C, 0x2E11, + 0x76D9, 0x2F87, + 0x7641, 0x30FB, + 0x75A5, 0x326E, + 0x7504, 0x33DE, + 0x745F, 0x354D, + 0x73B5, 0x36BA, + 0x7307, 0x3824, + 0x7255, 0x398C, + 0x719E, 0x3AF2, + 0x70E2, 0x3C56, + 0x7023, 0x3DB8, + 0x6F5F, 0x3F17, + 0x6E96, 0x4073, + 0x6DCA, 0x41CE, + 0x6CF9, 0x4325, + 0x6C24, 0x447A, + 0x6B4A, 0x45CD, + 0x6A6D, 0x471C, + 0x698C, 0x4869, + 0x68A6, 0x49B4, + 0x67BD, 0x4AFB, + 0x66CF, 0x4C3F, + 0x65DD, 0x4D81, + 0x64E8, 0x4EBF, + 0x63EF, 0x4FFB, + 0x62F2, 0x5133, + 0x61F1, 0x5269, + 0x60EC, 0x539B, + 0x5FE3, 0x54CA, + 0x5ED7, 0x55F5, + 0x5DC7, 0x571D, + 0x5CB4, 0x5842, + 0x5B9D, 0x5964, + 0x5A82, 0x5A82, + 0x5964, 0x5B9D, + 0x5842, 0x5CB4, + 0x571D, 0x5DC7, + 0x55F5, 0x5ED7, + 0x54CA, 0x5FE3, + 0x539B, 0x60EC, + 0x5269, 0x61F1, + 0x5133, 0x62F2, + 0x4FFB, 0x63EF, + 0x4EBF, 0x64E8, + 0x4D81, 0x65DD, + 0x4C3F, 0x66CF, + 0x4AFB, 0x67BD, + 0x49B4, 0x68A6, + 0x4869, 0x698C, + 0x471C, 0x6A6D, + 0x45CD, 0x6B4A, + 0x447A, 0x6C24, + 0x4325, 0x6CF9, + 0x41CE, 0x6DCA, + 0x4073, 0x6E96, + 0x3F17, 0x6F5F, + 0x3DB8, 0x7023, + 0x3C56, 0x70E2, + 0x3AF2, 0x719E, + 0x398C, 0x7255, + 0x3824, 0x7307, + 0x36BA, 0x73B5, + 0x354D, 0x745F, + 0x33DE, 0x7504, + 0x326E, 0x75A5, + 0x30FB, 0x7641, + 0x2F87, 0x76D9, + 0x2E11, 0x776C, + 0x2C98, 0x77FA, + 0x2B1F, 0x7884, + 0x29A3, 0x7909, + 0x2826, 0x798A, + 0x26A8, 0x7A05, + 0x2528, 0x7A7D, + 0x23A6, 0x7AEF, + 0x2223, 0x7B5D, + 0x209F, 0x7BC5, + 0x1F19, 0x7C29, + 0x1D93, 0x7C89, + 0x1C0B, 0x7CE3, + 0x1A82, 0x7D39, + 0x18F8, 0x7D8A, + 0x176D, 0x7DD6, + 0x15E2, 0x7E1D, + 0x1455, 0x7E5F, + 0x12C8, 0x7E9D, + 0x1139, 0x7ED5, + 0x0FAB, 0x7F09, + 0x0E1B, 0x7F38, + 0x0C8B, 0x7F62, + 0x0AFB, 0x7F87, + 0x096A, 0x7FA7, + 0x07D9, 0x7FC2, + 0x0647, 0x7FD8, + 0x04B6, 0x7FE9, + 0x0324, 0x7FF6, + 0x0192, 0x7FFD, + 0x0000, 0x7FFF, + 0xFE6D, 0x7FFD, + 0xFCDB, 0x7FF6, + 0xFB49, 0x7FE9, + 0xF9B8, 0x7FD8, + 0xF826, 0x7FC2, + 0xF695, 0x7FA7, + 0xF504, 0x7F87, + 0xF374, 0x7F62, + 0xF1E4, 0x7F38, + 0xF054, 0x7F09, + 0xEEC6, 0x7ED5, + 0xED37, 0x7E9D, + 0xEBAA, 0x7E5F, + 0xEA1D, 0x7E1D, + 0xE892, 0x7DD6, + 0xE707, 0x7D8A, + 0xE57D, 0x7D39, + 0xE3F4, 0x7CE3, + 0xE26C, 0x7C89, + 0xE0E6, 0x7C29, + 0xDF60, 0x7BC5, + 0xDDDC, 0x7B5D, + 0xDC59, 0x7AEF, + 0xDAD7, 0x7A7D, + 0xD957, 0x7A05, + 0xD7D9, 0x798A, + 0xD65C, 0x7909, + 0xD4E0, 0x7884, + 0xD367, 0x77FA, + 0xD1EE, 0x776C, + 0xD078, 0x76D9, + 0xCF04, 0x7641, + 0xCD91, 0x75A5, + 0xCC21, 0x7504, + 0xCAB2, 0x745F, + 0xC945, 0x73B5, + 0xC7DB, 0x7307, + 0xC673, 0x7255, + 0xC50D, 0x719E, + 0xC3A9, 0x70E2, + 0xC247, 0x7023, + 0xC0E8, 0x6F5F, + 0xBF8C, 0x6E96, + 0xBE31, 0x6DCA, + 0xBCDA, 0x6CF9, + 0xBB85, 0x6C24, + 0xBA32, 0x6B4A, + 0xB8E3, 0x6A6D, + 0xB796, 0x698C, + 0xB64B, 0x68A6, + 0xB504, 0x67BD, + 0xB3C0, 0x66CF, + 0xB27E, 0x65DD, + 0xB140, 0x64E8, + 0xB004, 0x63EF, + 0xAECC, 0x62F2, + 0xAD96, 0x61F1, + 0xAC64, 0x60EC, + 0xAB35, 0x5FE3, + 0xAA0A, 0x5ED7, + 0xA8E2, 0x5DC7, + 0xA7BD, 0x5CB4, + 0xA69B, 0x5B9D, + 0xA57D, 0x5A82, + 0xA462, 0x5964, + 0xA34B, 0x5842, + 0xA238, 0x571D, + 0xA128, 0x55F5, + 0xA01C, 0x54CA, + 0x9F13, 0x539B, + 0x9E0E, 0x5269, + 0x9D0D, 0x5133, + 0x9C10, 0x4FFB, + 0x9B17, 0x4EBF, + 0x9A22, 0x4D81, + 0x9930, 0x4C3F, + 0x9842, 0x4AFB, + 0x9759, 0x49B4, + 0x9673, 0x4869, + 0x9592, 0x471C, + 0x94B5, 0x45CD, + 0x93DB, 0x447A, + 0x9306, 0x4325, + 0x9235, 0x41CE, + 0x9169, 0x4073, + 0x90A0, 0x3F17, + 0x8FDC, 0x3DB8, + 0x8F1D, 0x3C56, + 0x8E61, 0x3AF2, + 0x8DAA, 0x398C, + 0x8CF8, 0x3824, + 0x8C4A, 0x36BA, + 0x8BA0, 0x354D, + 0x8AFB, 0x33DE, + 0x8A5A, 0x326E, + 0x89BE, 0x30FB, + 0x8926, 0x2F87, + 0x8893, 0x2E11, + 0x8805, 0x2C98, + 0x877B, 0x2B1F, + 0x86F6, 0x29A3, + 0x8675, 0x2826, + 0x85FA, 0x26A8, + 0x8582, 0x2528, + 0x8510, 0x23A6, + 0x84A2, 0x2223, + 0x843A, 0x209F, + 0x83D6, 0x1F19, + 0x8376, 0x1D93, + 0x831C, 0x1C0B, + 0x82C6, 0x1A82, + 0x8275, 0x18F8, + 0x8229, 0x176D, + 0x81E2, 0x15E2, + 0x81A0, 0x1455, + 0x8162, 0x12C8, + 0x812A, 0x1139, + 0x80F6, 0x0FAB, + 0x80C7, 0x0E1B, + 0x809D, 0x0C8B, + 0x8078, 0x0AFB, + 0x8058, 0x096A, + 0x803D, 0x07D9, + 0x8027, 0x0647, + 0x8016, 0x04B6, + 0x8009, 0x0324, + 0x8002, 0x0192, + 0x8000, 0x0000, + 0x8002, 0xFE6D, + 0x8009, 0xFCDB, + 0x8016, 0xFB49, + 0x8027, 0xF9B8, + 0x803D, 0xF826, + 0x8058, 0xF695, + 0x8078, 0xF504, + 0x809D, 0xF374, + 0x80C7, 0xF1E4, + 0x80F6, 0xF054, + 0x812A, 0xEEC6, + 0x8162, 0xED37, + 0x81A0, 0xEBAA, + 0x81E2, 0xEA1D, + 0x8229, 0xE892, + 0x8275, 0xE707, + 0x82C6, 0xE57D, + 0x831C, 0xE3F4, + 0x8376, 0xE26C, + 0x83D6, 0xE0E6, + 0x843A, 0xDF60, + 0x84A2, 0xDDDC, + 0x8510, 0xDC59, + 0x8582, 0xDAD7, + 0x85FA, 0xD957, + 0x8675, 0xD7D9, + 0x86F6, 0xD65C, + 0x877B, 0xD4E0, + 0x8805, 0xD367, + 0x8893, 0xD1EE, + 0x8926, 0xD078, + 0x89BE, 0xCF04, + 0x8A5A, 0xCD91, + 0x8AFB, 0xCC21, + 0x8BA0, 0xCAB2, + 0x8C4A, 0xC945, + 0x8CF8, 0xC7DB, + 0x8DAA, 0xC673, + 0x8E61, 0xC50D, + 0x8F1D, 0xC3A9, + 0x8FDC, 0xC247, + 0x90A0, 0xC0E8, + 0x9169, 0xBF8C, + 0x9235, 0xBE31, + 0x9306, 0xBCDA, + 0x93DB, 0xBB85, + 0x94B5, 0xBA32, + 0x9592, 0xB8E3, + 0x9673, 0xB796, + 0x9759, 0xB64B, + 0x9842, 0xB504, + 0x9930, 0xB3C0, + 0x9A22, 0xB27E, + 0x9B17, 0xB140, + 0x9C10, 0xB004, + 0x9D0D, 0xAECC, + 0x9E0E, 0xAD96, + 0x9F13, 0xAC64, + 0xA01C, 0xAB35, + 0xA128, 0xAA0A, + 0xA238, 0xA8E2, + 0xA34B, 0xA7BD, + 0xA462, 0xA69B, + 0xA57D, 0xA57D, + 0xA69B, 0xA462, + 0xA7BD, 0xA34B, + 0xA8E2, 0xA238, + 0xAA0A, 0xA128, + 0xAB35, 0xA01C, + 0xAC64, 0x9F13, + 0xAD96, 0x9E0E, + 0xAECC, 0x9D0D, + 0xB004, 0x9C10, + 0xB140, 0x9B17, + 0xB27E, 0x9A22, + 0xB3C0, 0x9930, + 0xB504, 0x9842, + 0xB64B, 0x9759, + 0xB796, 0x9673, + 0xB8E3, 0x9592, + 0xBA32, 0x94B5, + 0xBB85, 0x93DB, + 0xBCDA, 0x9306, + 0xBE31, 0x9235, + 0xBF8C, 0x9169, + 0xC0E8, 0x90A0, + 0xC247, 0x8FDC, + 0xC3A9, 0x8F1D, + 0xC50D, 0x8E61, + 0xC673, 0x8DAA, + 0xC7DB, 0x8CF8, + 0xC945, 0x8C4A, + 0xCAB2, 0x8BA0, + 0xCC21, 0x8AFB, + 0xCD91, 0x8A5A, + 0xCF04, 0x89BE, + 0xD078, 0x8926, + 0xD1EE, 0x8893, + 0xD367, 0x8805, + 0xD4E0, 0x877B, + 0xD65C, 0x86F6, + 0xD7D9, 0x8675, + 0xD957, 0x85FA, + 0xDAD7, 0x8582, + 0xDC59, 0x8510, + 0xDDDC, 0x84A2, + 0xDF60, 0x843A, + 0xE0E6, 0x83D6, + 0xE26C, 0x8376, + 0xE3F4, 0x831C, + 0xE57D, 0x82C6, + 0xE707, 0x8275, + 0xE892, 0x8229, + 0xEA1D, 0x81E2, + 0xEBAA, 0x81A0, + 0xED37, 0x8162, + 0xEEC6, 0x812A, + 0xF054, 0x80F6, + 0xF1E4, 0x80C7, + 0xF374, 0x809D, + 0xF504, 0x8078, + 0xF695, 0x8058, + 0xF826, 0x803D, + 0xF9B8, 0x8027, + 0xFB49, 0x8016, + 0xFCDB, 0x8009, + 0xFE6D, 0x8002 +}; + +/** +* \par +* Example code for q15 Twiddle factors Generation:: +* \par +* <pre>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); +* } </pre> +* \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] = { + 0x7FFF, 0x0000, + 0x7FFF, 0x00C9, + 0x7FFD, 0x0192, + 0x7FFA, 0x025B, + 0x7FF6, 0x0324, + 0x7FF0, 0x03ED, + 0x7FE9, 0x04B6, + 0x7FE1, 0x057F, + 0x7FD8, 0x0647, + 0x7FCE, 0x0710, + 0x7FC2, 0x07D9, + 0x7FB5, 0x08A2, + 0x7FA7, 0x096A, + 0x7F97, 0x0A33, + 0x7F87, 0x0AFB, + 0x7F75, 0x0BC3, + 0x7F62, 0x0C8B, + 0x7F4D, 0x0D53, + 0x7F38, 0x0E1B, + 0x7F21, 0x0EE3, + 0x7F09, 0x0FAB, + 0x7EF0, 0x1072, + 0x7ED5, 0x1139, + 0x7EBA, 0x1201, + 0x7E9D, 0x12C8, + 0x7E7F, 0x138E, + 0x7E5F, 0x1455, + 0x7E3F, 0x151B, + 0x7E1D, 0x15E2, + 0x7DFA, 0x16A8, + 0x7DD6, 0x176D, + 0x7DB0, 0x1833, + 0x7D8A, 0x18F8, + 0x7D62, 0x19BD, + 0x7D39, 0x1A82, + 0x7D0F, 0x1B47, + 0x7CE3, 0x1C0B, + 0x7CB7, 0x1CCF, + 0x7C89, 0x1D93, + 0x7C5A, 0x1E56, + 0x7C29, 0x1F19, + 0x7BF8, 0x1FDC, + 0x7BC5, 0x209F, + 0x7B92, 0x2161, + 0x7B5D, 0x2223, + 0x7B26, 0x22E5, + 0x7AEF, 0x23A6, + 0x7AB6, 0x2467, + 0x7A7D, 0x2528, + 0x7A42, 0x25E8, + 0x7A05, 0x26A8, + 0x79C8, 0x2767, + 0x798A, 0x2826, + 0x794A, 0x28E5, + 0x7909, 0x29A3, + 0x78C7, 0x2A61, + 0x7884, 0x2B1F, + 0x7840, 0x2BDC, + 0x77FA, 0x2C98, + 0x77B4, 0x2D55, + 0x776C, 0x2E11, + 0x7723, 0x2ECC, + 0x76D9, 0x2F87, + 0x768E, 0x3041, + 0x7641, 0x30FB, + 0x75F4, 0x31B5, + 0x75A5, 0x326E, + 0x7555, 0x3326, + 0x7504, 0x33DE, + 0x74B2, 0x3496, + 0x745F, 0x354D, + 0x740B, 0x3604, + 0x73B5, 0x36BA, + 0x735F, 0x376F, + 0x7307, 0x3824, + 0x72AF, 0x38D8, + 0x7255, 0x398C, + 0x71FA, 0x3A40, + 0x719E, 0x3AF2, + 0x7141, 0x3BA5, + 0x70E2, 0x3C56, + 0x7083, 0x3D07, + 0x7023, 0x3DB8, + 0x6FC1, 0x3E68, + 0x6F5F, 0x3F17, + 0x6EFB, 0x3FC5, + 0x6E96, 0x4073, + 0x6E30, 0x4121, + 0x6DCA, 0x41CE, + 0x6D62, 0x427A, + 0x6CF9, 0x4325, + 0x6C8F, 0x43D0, + 0x6C24, 0x447A, + 0x6BB8, 0x4524, + 0x6B4A, 0x45CD, + 0x6ADC, 0x4675, + 0x6A6D, 0x471C, + 0x69FD, 0x47C3, + 0x698C, 0x4869, + 0x6919, 0x490F, + 0x68A6, 0x49B4, + 0x6832, 0x4A58, + 0x67BD, 0x4AFB, + 0x6746, 0x4B9E, + 0x66CF, 0x4C3F, + 0x6657, 0x4CE1, + 0x65DD, 0x4D81, + 0x6563, 0x4E21, + 0x64E8, 0x4EBF, + 0x646C, 0x4F5E, + 0x63EF, 0x4FFB, + 0x6371, 0x5097, + 0x62F2, 0x5133, + 0x6271, 0x51CE, + 0x61F1, 0x5269, + 0x616F, 0x5302, + 0x60EC, 0x539B, + 0x6068, 0x5433, + 0x5FE3, 0x54CA, + 0x5F5E, 0x5560, + 0x5ED7, 0x55F5, + 0x5E50, 0x568A, + 0x5DC7, 0x571D, + 0x5D3E, 0x57B0, + 0x5CB4, 0x5842, + 0x5C29, 0x58D4, + 0x5B9D, 0x5964, + 0x5B10, 0x59F3, + 0x5A82, 0x5A82, + 0x59F3, 0x5B10, + 0x5964, 0x5B9D, + 0x58D4, 0x5C29, + 0x5842, 0x5CB4, + 0x57B0, 0x5D3E, + 0x571D, 0x5DC7, + 0x568A, 0x5E50, + 0x55F5, 0x5ED7, + 0x5560, 0x5F5E, + 0x54CA, 0x5FE3, + 0x5433, 0x6068, + 0x539B, 0x60EC, + 0x5302, 0x616F, + 0x5269, 0x61F1, + 0x51CE, 0x6271, + 0x5133, 0x62F2, + 0x5097, 0x6371, + 0x4FFB, 0x63EF, + 0x4F5E, 0x646C, + 0x4EBF, 0x64E8, + 0x4E21, 0x6563, + 0x4D81, 0x65DD, + 0x4CE1, 0x6657, + 0x4C3F, 0x66CF, + 0x4B9E, 0x6746, + 0x4AFB, 0x67BD, + 0x4A58, 0x6832, + 0x49B4, 0x68A6, + 0x490F, 0x6919, + 0x4869, 0x698C, + 0x47C3, 0x69FD, + 0x471C, 0x6A6D, + 0x4675, 0x6ADC, + 0x45CD, 0x6B4A, + 0x4524, 0x6BB8, + 0x447A, 0x6C24, + 0x43D0, 0x6C8F, + 0x4325, 0x6CF9, + 0x427A, 0x6D62, + 0x41CE, 0x6DCA, + 0x4121, 0x6E30, + 0x4073, 0x6E96, + 0x3FC5, 0x6EFB, + 0x3F17, 0x6F5F, + 0x3E68, 0x6FC1, + 0x3DB8, 0x7023, + 0x3D07, 0x7083, + 0x3C56, 0x70E2, + 0x3BA5, 0x7141, + 0x3AF2, 0x719E, + 0x3A40, 0x71FA, + 0x398C, 0x7255, + 0x38D8, 0x72AF, + 0x3824, 0x7307, + 0x376F, 0x735F, + 0x36BA, 0x73B5, + 0x3604, 0x740B, + 0x354D, 0x745F, + 0x3496, 0x74B2, + 0x33DE, 0x7504, + 0x3326, 0x7555, + 0x326E, 0x75A5, + 0x31B5, 0x75F4, + 0x30FB, 0x7641, + 0x3041, 0x768E, + 0x2F87, 0x76D9, + 0x2ECC, 0x7723, + 0x2E11, 0x776C, + 0x2D55, 0x77B4, + 0x2C98, 0x77FA, + 0x2BDC, 0x7840, + 0x2B1F, 0x7884, + 0x2A61, 0x78C7, + 0x29A3, 0x7909, + 0x28E5, 0x794A, + 0x2826, 0x798A, + 0x2767, 0x79C8, + 0x26A8, 0x7A05, + 0x25E8, 0x7A42, + 0x2528, 0x7A7D, + 0x2467, 0x7AB6, + 0x23A6, 0x7AEF, + 0x22E5, 0x7B26, + 0x2223, 0x7B5D, + 0x2161, 0x7B92, + 0x209F, 0x7BC5, + 0x1FDC, 0x7BF8, + 0x1F19, 0x7C29, + 0x1E56, 0x7C5A, + 0x1D93, 0x7C89, + 0x1CCF, 0x7CB7, + 0x1C0B, 0x7CE3, + 0x1B47, 0x7D0F, + 0x1A82, 0x7D39, + 0x19BD, 0x7D62, + 0x18F8, 0x7D8A, + 0x1833, 0x7DB0, + 0x176D, 0x7DD6, + 0x16A8, 0x7DFA, + 0x15E2, 0x7E1D, + 0x151B, 0x7E3F, + 0x1455, 0x7E5F, + 0x138E, 0x7E7F, + 0x12C8, 0x7E9D, + 0x1201, 0x7EBA, + 0x1139, 0x7ED5, + 0x1072, 0x7EF0, + 0x0FAB, 0x7F09, + 0x0EE3, 0x7F21, + 0x0E1B, 0x7F38, + 0x0D53, 0x7F4D, + 0x0C8B, 0x7F62, + 0x0BC3, 0x7F75, + 0x0AFB, 0x7F87, + 0x0A33, 0x7F97, + 0x096A, 0x7FA7, + 0x08A2, 0x7FB5, + 0x07D9, 0x7FC2, + 0x0710, 0x7FCE, + 0x0647, 0x7FD8, + 0x057F, 0x7FE1, + 0x04B6, 0x7FE9, + 0x03ED, 0x7FF0, + 0x0324, 0x7FF6, + 0x025B, 0x7FFA, + 0x0192, 0x7FFD, + 0x00C9, 0x7FFF, + 0x0000, 0x7FFF, + 0xFF36, 0x7FFF, + 0xFE6D, 0x7FFD, + 0xFDA4, 0x7FFA, + 0xFCDB, 0x7FF6, + 0xFC12, 0x7FF0, + 0xFB49, 0x7FE9, + 0xFA80, 0x7FE1, + 0xF9B8, 0x7FD8, + 0xF8EF, 0x7FCE, + 0xF826, 0x7FC2, + 0xF75D, 0x7FB5, + 0xF695, 0x7FA7, + 0xF5CC, 0x7F97, + 0xF504, 0x7F87, + 0xF43C, 0x7F75, + 0xF374, 0x7F62, + 0xF2AC, 0x7F4D, + 0xF1E4, 0x7F38, + 0xF11C, 0x7F21, + 0xF054, 0x7F09, + 0xEF8D, 0x7EF0, + 0xEEC6, 0x7ED5, + 0xEDFE, 0x7EBA, + 0xED37, 0x7E9D, + 0xEC71, 0x7E7F, + 0xEBAA, 0x7E5F, + 0xEAE4, 0x7E3F, + 0xEA1D, 0x7E1D, + 0xE957, 0x7DFA, + 0xE892, 0x7DD6, + 0xE7CC, 0x7DB0, + 0xE707, 0x7D8A, + 0xE642, 0x7D62, + 0xE57D, 0x7D39, + 0xE4B8, 0x7D0F, + 0xE3F4, 0x7CE3, + 0xE330, 0x7CB7, + 0xE26C, 0x7C89, + 0xE1A9, 0x7C5A, + 0xE0E6, 0x7C29, + 0xE023, 0x7BF8, + 0xDF60, 0x7BC5, + 0xDE9E, 0x7B92, + 0xDDDC, 0x7B5D, + 0xDD1A, 0x7B26, + 0xDC59, 0x7AEF, + 0xDB98, 0x7AB6, + 0xDAD7, 0x7A7D, + 0xDA17, 0x7A42, + 0xD957, 0x7A05, + 0xD898, 0x79C8, + 0xD7D9, 0x798A, + 0xD71A, 0x794A, + 0xD65C, 0x7909, + 0xD59E, 0x78C7, + 0xD4E0, 0x7884, + 0xD423, 0x7840, + 0xD367, 0x77FA, + 0xD2AA, 0x77B4, + 0xD1EE, 0x776C, + 0xD133, 0x7723, + 0xD078, 0x76D9, + 0xCFBE, 0x768E, + 0xCF04, 0x7641, + 0xCE4A, 0x75F4, + 0xCD91, 0x75A5, + 0xCCD9, 0x7555, + 0xCC21, 0x7504, + 0xCB69, 0x74B2, + 0xCAB2, 0x745F, + 0xC9FB, 0x740B, + 0xC945, 0x73B5, + 0xC890, 0x735F, + 0xC7DB, 0x7307, + 0xC727, 0x72AF, + 0xC673, 0x7255, + 0xC5BF, 0x71FA, + 0xC50D, 0x719E, + 0xC45A, 0x7141, + 0xC3A9, 0x70E2, + 0xC2F8, 0x7083, + 0xC247, 0x7023, + 0xC197, 0x6FC1, + 0xC0E8, 0x6F5F, + 0xC03A, 0x6EFB, + 0xBF8C, 0x6E96, + 0xBEDE, 0x6E30, + 0xBE31, 0x6DCA, + 0xBD85, 0x6D62, + 0xBCDA, 0x6CF9, + 0xBC2F, 0x6C8F, + 0xBB85, 0x6C24, + 0xBADB, 0x6BB8, + 0xBA32, 0x6B4A, + 0xB98A, 0x6ADC, + 0xB8E3, 0x6A6D, + 0xB83C, 0x69FD, + 0xB796, 0x698C, + 0xB6F0, 0x6919, + 0xB64B, 0x68A6, + 0xB5A7, 0x6832, + 0xB504, 0x67BD, + 0xB461, 0x6746, + 0xB3C0, 0x66CF, + 0xB31E, 0x6657, + 0xB27E, 0x65DD, + 0xB1DE, 0x6563, + 0xB140, 0x64E8, + 0xB0A1, 0x646C, + 0xB004, 0x63EF, + 0xAF68, 0x6371, + 0xAECC, 0x62F2, + 0xAE31, 0x6271, + 0xAD96, 0x61F1, + 0xACFD, 0x616F, + 0xAC64, 0x60EC, + 0xABCC, 0x6068, + 0xAB35, 0x5FE3, + 0xAA9F, 0x5F5E, + 0xAA0A, 0x5ED7, + 0xA975, 0x5E50, + 0xA8E2, 0x5DC7, + 0xA84F, 0x5D3E, + 0xA7BD, 0x5CB4, + 0xA72B, 0x5C29, + 0xA69B, 0x5B9D, + 0xA60C, 0x5B10, + 0xA57D, 0x5A82, + 0xA4EF, 0x59F3, + 0xA462, 0x5964, + 0xA3D6, 0x58D4, + 0xA34B, 0x5842, + 0xA2C1, 0x57B0, + 0xA238, 0x571D, + 0xA1AF, 0x568A, + 0xA128, 0x55F5, + 0xA0A1, 0x5560, + 0xA01C, 0x54CA, + 0x9F97, 0x5433, + 0x9F13, 0x539B, + 0x9E90, 0x5302, + 0x9E0E, 0x5269, + 0x9D8E, 0x51CE, + 0x9D0D, 0x5133, + 0x9C8E, 0x5097, + 0x9C10, 0x4FFB, + 0x9B93, 0x4F5E, + 0x9B17, 0x4EBF, + 0x9A9C, 0x4E21, + 0x9A22, 0x4D81, + 0x99A8, 0x4CE1, + 0x9930, 0x4C3F, + 0x98B9, 0x4B9E, + 0x9842, 0x4AFB, + 0x97CD, 0x4A58, + 0x9759, 0x49B4, + 0x96E6, 0x490F, + 0x9673, 0x4869, + 0x9602, 0x47C3, + 0x9592, 0x471C, + 0x9523, 0x4675, + 0x94B5, 0x45CD, + 0x9447, 0x4524, + 0x93DB, 0x447A, + 0x9370, 0x43D0, + 0x9306, 0x4325, + 0x929D, 0x427A, + 0x9235, 0x41CE, + 0x91CF, 0x4121, + 0x9169, 0x4073, + 0x9104, 0x3FC5, + 0x90A0, 0x3F17, + 0x903E, 0x3E68, + 0x8FDC, 0x3DB8, + 0x8F7C, 0x3D07, + 0x8F1D, 0x3C56, + 0x8EBE, 0x3BA5, + 0x8E61, 0x3AF2, + 0x8E05, 0x3A40, + 0x8DAA, 0x398C, + 0x8D50, 0x38D8, + 0x8CF8, 0x3824, + 0x8CA0, 0x376F, + 0x8C4A, 0x36BA, + 0x8BF4, 0x3604, + 0x8BA0, 0x354D, + 0x8B4D, 0x3496, + 0x8AFB, 0x33DE, + 0x8AAA, 0x3326, + 0x8A5A, 0x326E, + 0x8A0B, 0x31B5, + 0x89BE, 0x30FB, + 0x8971, 0x3041, + 0x8926, 0x2F87, + 0x88DC, 0x2ECC, + 0x8893, 0x2E11, + 0x884B, 0x2D55, + 0x8805, 0x2C98, + 0x87BF, 0x2BDC, + 0x877B, 0x2B1F, + 0x8738, 0x2A61, + 0x86F6, 0x29A3, + 0x86B5, 0x28E5, + 0x8675, 0x2826, + 0x8637, 0x2767, + 0x85FA, 0x26A8, + 0x85BD, 0x25E8, + 0x8582, 0x2528, + 0x8549, 0x2467, + 0x8510, 0x23A6, + 0x84D9, 0x22E5, + 0x84A2, 0x2223, + 0x846D, 0x2161, + 0x843A, 0x209F, + 0x8407, 0x1FDC, + 0x83D6, 0x1F19, + 0x83A5, 0x1E56, + 0x8376, 0x1D93, + 0x8348, 0x1CCF, + 0x831C, 0x1C0B, + 0x82F0, 0x1B47, + 0x82C6, 0x1A82, + 0x829D, 0x19BD, + 0x8275, 0x18F8, + 0x824F, 0x1833, + 0x8229, 0x176D, + 0x8205, 0x16A8, + 0x81E2, 0x15E2, + 0x81C0, 0x151B, + 0x81A0, 0x1455, + 0x8180, 0x138E, + 0x8162, 0x12C8, + 0x8145, 0x1201, + 0x812A, 0x1139, + 0x810F, 0x1072, + 0x80F6, 0x0FAB, + 0x80DE, 0x0EE3, + 0x80C7, 0x0E1B, + 0x80B2, 0x0D53, + 0x809D, 0x0C8B, + 0x808A, 0x0BC3, + 0x8078, 0x0AFB, + 0x8068, 0x0A33, + 0x8058, 0x096A, + 0x804A, 0x08A2, + 0x803D, 0x07D9, + 0x8031, 0x0710, + 0x8027, 0x0647, + 0x801E, 0x057F, + 0x8016, 0x04B6, + 0x800F, 0x03ED, + 0x8009, 0x0324, + 0x8005, 0x025B, + 0x8002, 0x0192, + 0x8000, 0x00C9, + 0x8000, 0x0000, + 0x8000, 0xFF36, + 0x8002, 0xFE6D, + 0x8005, 0xFDA4, + 0x8009, 0xFCDB, + 0x800F, 0xFC12, + 0x8016, 0xFB49, + 0x801E, 0xFA80, + 0x8027, 0xF9B8, + 0x8031, 0xF8EF, + 0x803D, 0xF826, + 0x804A, 0xF75D, + 0x8058, 0xF695, + 0x8068, 0xF5CC, + 0x8078, 0xF504, + 0x808A, 0xF43C, + 0x809D, 0xF374, + 0x80B2, 0xF2AC, + 0x80C7, 0xF1E4, + 0x80DE, 0xF11C, + 0x80F6, 0xF054, + 0x810F, 0xEF8D, + 0x812A, 0xEEC6, + 0x8145, 0xEDFE, + 0x8162, 0xED37, + 0x8180, 0xEC71, + 0x81A0, 0xEBAA, + 0x81C0, 0xEAE4, + 0x81E2, 0xEA1D, + 0x8205, 0xE957, + 0x8229, 0xE892, + 0x824F, 0xE7CC, + 0x8275, 0xE707, + 0x829D, 0xE642, + 0x82C6, 0xE57D, + 0x82F0, 0xE4B8, + 0x831C, 0xE3F4, + 0x8348, 0xE330, + 0x8376, 0xE26C, + 0x83A5, 0xE1A9, + 0x83D6, 0xE0E6, + 0x8407, 0xE023, + 0x843A, 0xDF60, + 0x846D, 0xDE9E, + 0x84A2, 0xDDDC, + 0x84D9, 0xDD1A, + 0x8510, 0xDC59, + 0x8549, 0xDB98, + 0x8582, 0xDAD7, + 0x85BD, 0xDA17, + 0x85FA, 0xD957, + 0x8637, 0xD898, + 0x8675, 0xD7D9, + 0x86B5, 0xD71A, + 0x86F6, 0xD65C, + 0x8738, 0xD59E, + 0x877B, 0xD4E0, + 0x87BF, 0xD423, + 0x8805, 0xD367, + 0x884B, 0xD2AA, + 0x8893, 0xD1EE, + 0x88DC, 0xD133, + 0x8926, 0xD078, + 0x8971, 0xCFBE, + 0x89BE, 0xCF04, + 0x8A0B, 0xCE4A, + 0x8A5A, 0xCD91, + 0x8AAA, 0xCCD9, + 0x8AFB, 0xCC21, + 0x8B4D, 0xCB69, + 0x8BA0, 0xCAB2, + 0x8BF4, 0xC9FB, + 0x8C4A, 0xC945, + 0x8CA0, 0xC890, + 0x8CF8, 0xC7DB, + 0x8D50, 0xC727, + 0x8DAA, 0xC673, + 0x8E05, 0xC5BF, + 0x8E61, 0xC50D, + 0x8EBE, 0xC45A, + 0x8F1D, 0xC3A9, + 0x8F7C, 0xC2F8, + 0x8FDC, 0xC247, + 0x903E, 0xC197, + 0x90A0, 0xC0E8, + 0x9104, 0xC03A, + 0x9169, 0xBF8C, + 0x91CF, 0xBEDE, + 0x9235, 0xBE31, + 0x929D, 0xBD85, + 0x9306, 0xBCDA, + 0x9370, 0xBC2F, + 0x93DB, 0xBB85, + 0x9447, 0xBADB, + 0x94B5, 0xBA32, + 0x9523, 0xB98A, + 0x9592, 0xB8E3, + 0x9602, 0xB83C, + 0x9673, 0xB796, + 0x96E6, 0xB6F0, + 0x9759, 0xB64B, + 0x97CD, 0xB5A7, + 0x9842, 0xB504, + 0x98B9, 0xB461, + 0x9930, 0xB3C0, + 0x99A8, 0xB31E, + 0x9A22, 0xB27E, + 0x9A9C, 0xB1DE, + 0x9B17, 0xB140, + 0x9B93, 0xB0A1, + 0x9C10, 0xB004, + 0x9C8E, 0xAF68, + 0x9D0D, 0xAECC, + 0x9D8E, 0xAE31, + 0x9E0E, 0xAD96, + 0x9E90, 0xACFD, + 0x9F13, 0xAC64, + 0x9F97, 0xABCC, + 0xA01C, 0xAB35, + 0xA0A1, 0xAA9F, + 0xA128, 0xAA0A, + 0xA1AF, 0xA975, + 0xA238, 0xA8E2, + 0xA2C1, 0xA84F, + 0xA34B, 0xA7BD, + 0xA3D6, 0xA72B, + 0xA462, 0xA69B, + 0xA4EF, 0xA60C, + 0xA57D, 0xA57D, + 0xA60C, 0xA4EF, + 0xA69B, 0xA462, + 0xA72B, 0xA3D6, + 0xA7BD, 0xA34B, + 0xA84F, 0xA2C1, + 0xA8E2, 0xA238, + 0xA975, 0xA1AF, + 0xAA0A, 0xA128, + 0xAA9F, 0xA0A1, + 0xAB35, 0xA01C, + 0xABCC, 0x9F97, + 0xAC64, 0x9F13, + 0xACFD, 0x9E90, + 0xAD96, 0x9E0E, + 0xAE31, 0x9D8E, + 0xAECC, 0x9D0D, + 0xAF68, 0x9C8E, + 0xB004, 0x9C10, + 0xB0A1, 0x9B93, + 0xB140, 0x9B17, + 0xB1DE, 0x9A9C, + 0xB27E, 0x9A22, + 0xB31E, 0x99A8, + 0xB3C0, 0x9930, + 0xB461, 0x98B9, + 0xB504, 0x9842, + 0xB5A7, 0x97CD, + 0xB64B, 0x9759, + 0xB6F0, 0x96E6, + 0xB796, 0x9673, + 0xB83C, 0x9602, + 0xB8E3, 0x9592, + 0xB98A, 0x9523, + 0xBA32, 0x94B5, + 0xBADB, 0x9447, + 0xBB85, 0x93DB, + 0xBC2F, 0x9370, + 0xBCDA, 0x9306, + 0xBD85, 0x929D, + 0xBE31, 0x9235, + 0xBEDE, 0x91CF, + 0xBF8C, 0x9169, + 0xC03A, 0x9104, + 0xC0E8, 0x90A0, + 0xC197, 0x903E, + 0xC247, 0x8FDC, + 0xC2F8, 0x8F7C, + 0xC3A9, 0x8F1D, + 0xC45A, 0x8EBE, + 0xC50D, 0x8E61, + 0xC5BF, 0x8E05, + 0xC673, 0x8DAA, + 0xC727, 0x8D50, + 0xC7DB, 0x8CF8, + 0xC890, 0x8CA0, + 0xC945, 0x8C4A, + 0xC9FB, 0x8BF4, + 0xCAB2, 0x8BA0, + 0xCB69, 0x8B4D, + 0xCC21, 0x8AFB, + 0xCCD9, 0x8AAA, + 0xCD91, 0x8A5A, + 0xCE4A, 0x8A0B, + 0xCF04, 0x89BE, + 0xCFBE, 0x8971, + 0xD078, 0x8926, + 0xD133, 0x88DC, + 0xD1EE, 0x8893, + 0xD2AA, 0x884B, + 0xD367, 0x8805, + 0xD423, 0x87BF, + 0xD4E0, 0x877B, + 0xD59E, 0x8738, + 0xD65C, 0x86F6, + 0xD71A, 0x86B5, + 0xD7D9, 0x8675, + 0xD898, 0x8637, + 0xD957, 0x85FA, + 0xDA17, 0x85BD, + 0xDAD7, 0x8582, + 0xDB98, 0x8549, + 0xDC59, 0x8510, + 0xDD1A, 0x84D9, + 0xDDDC, 0x84A2, + 0xDE9E, 0x846D, + 0xDF60, 0x843A, + 0xE023, 0x8407, + 0xE0E6, 0x83D6, + 0xE1A9, 0x83A5, + 0xE26C, 0x8376, + 0xE330, 0x8348, + 0xE3F4, 0x831C, + 0xE4B8, 0x82F0, + 0xE57D, 0x82C6, + 0xE642, 0x829D, + 0xE707, 0x8275, + 0xE7CC, 0x824F, + 0xE892, 0x8229, + 0xE957, 0x8205, + 0xEA1D, 0x81E2, + 0xEAE4, 0x81C0, + 0xEBAA, 0x81A0, + 0xEC71, 0x8180, + 0xED37, 0x8162, + 0xEDFE, 0x8145, + 0xEEC6, 0x812A, + 0xEF8D, 0x810F, + 0xF054, 0x80F6, + 0xF11C, 0x80DE, + 0xF1E4, 0x80C7, + 0xF2AC, 0x80B2, + 0xF374, 0x809D, + 0xF43C, 0x808A, + 0xF504, 0x8078, + 0xF5CC, 0x8068, + 0xF695, 0x8058, + 0xF75D, 0x804A, + 0xF826, 0x803D, + 0xF8EF, 0x8031, + 0xF9B8, 0x8027, + 0xFA80, 0x801E, + 0xFB49, 0x8016, + 0xFC12, 0x800F, + 0xFCDB, 0x8009, + 0xFDA4, 0x8005, + 0xFE6D, 0x8002, + 0xFF36, 0x8000 +}; + +/** +* \par +* Example code for q15 Twiddle factors Generation:: +* \par +* <pre>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); +* } </pre> +* \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] = { + 0x7FFF, 0x0000, + 0x7FFF, 0x0064, + 0x7FFF, 0x00C9, + 0x7FFE, 0x012D, + 0x7FFD, 0x0192, + 0x7FFC, 0x01F6, + 0x7FFA, 0x025B, + 0x7FF8, 0x02BF, + 0x7FF6, 0x0324, + 0x7FF3, 0x0388, + 0x7FF0, 0x03ED, + 0x7FED, 0x0451, + 0x7FE9, 0x04B6, + 0x7FE5, 0x051A, + 0x7FE1, 0x057F, + 0x7FDD, 0x05E3, + 0x7FD8, 0x0647, + 0x7FD3, 0x06AC, + 0x7FCE, 0x0710, + 0x7FC8, 0x0775, + 0x7FC2, 0x07D9, + 0x7FBC, 0x083D, + 0x7FB5, 0x08A2, + 0x7FAE, 0x0906, + 0x7FA7, 0x096A, + 0x7F9F, 0x09CE, + 0x7F97, 0x0A33, + 0x7F8F, 0x0A97, + 0x7F87, 0x0AFB, + 0x7F7E, 0x0B5F, + 0x7F75, 0x0BC3, + 0x7F6B, 0x0C27, + 0x7F62, 0x0C8B, + 0x7F58, 0x0CEF, + 0x7F4D, 0x0D53, + 0x7F43, 0x0DB7, + 0x7F38, 0x0E1B, + 0x7F2D, 0x0E7F, + 0x7F21, 0x0EE3, + 0x7F15, 0x0F47, + 0x7F09, 0x0FAB, + 0x7EFD, 0x100E, + 0x7EF0, 0x1072, + 0x7EE3, 0x10D6, + 0x7ED5, 0x1139, + 0x7EC8, 0x119D, + 0x7EBA, 0x1201, + 0x7EAB, 0x1264, + 0x7E9D, 0x12C8, + 0x7E8E, 0x132B, + 0x7E7F, 0x138E, + 0x7E6F, 0x13F2, + 0x7E5F, 0x1455, + 0x7E4F, 0x14B8, + 0x7E3F, 0x151B, + 0x7E2E, 0x157F, + 0x7E1D, 0x15E2, + 0x7E0C, 0x1645, + 0x7DFA, 0x16A8, + 0x7DE8, 0x170A, + 0x7DD6, 0x176D, + 0x7DC3, 0x17D0, + 0x7DB0, 0x1833, + 0x7D9D, 0x1896, + 0x7D8A, 0x18F8, + 0x7D76, 0x195B, + 0x7D62, 0x19BD, + 0x7D4E, 0x1A20, + 0x7D39, 0x1A82, + 0x7D24, 0x1AE4, + 0x7D0F, 0x1B47, + 0x7CF9, 0x1BA9, + 0x7CE3, 0x1C0B, + 0x7CCD, 0x1C6D, + 0x7CB7, 0x1CCF, + 0x7CA0, 0x1D31, + 0x7C89, 0x1D93, + 0x7C71, 0x1DF5, + 0x7C5A, 0x1E56, + 0x7C42, 0x1EB8, + 0x7C29, 0x1F19, + 0x7C11, 0x1F7B, + 0x7BF8, 0x1FDC, + 0x7BDF, 0x203E, + 0x7BC5, 0x209F, + 0x7BAC, 0x2100, + 0x7B92, 0x2161, + 0x7B77, 0x21C2, + 0x7B5D, 0x2223, + 0x7B42, 0x2284, + 0x7B26, 0x22E5, + 0x7B0B, 0x2345, + 0x7AEF, 0x23A6, + 0x7AD3, 0x2407, + 0x7AB6, 0x2467, + 0x7A9A, 0x24C7, + 0x7A7D, 0x2528, + 0x7A5F, 0x2588, + 0x7A42, 0x25E8, + 0x7A24, 0x2648, + 0x7A05, 0x26A8, + 0x79E7, 0x2707, + 0x79C8, 0x2767, + 0x79A9, 0x27C7, + 0x798A, 0x2826, + 0x796A, 0x2886, + 0x794A, 0x28E5, + 0x792A, 0x2944, + 0x7909, 0x29A3, + 0x78E8, 0x2A02, + 0x78C7, 0x2A61, + 0x78A6, 0x2AC0, + 0x7884, 0x2B1F, + 0x7862, 0x2B7D, + 0x7840, 0x2BDC, + 0x781D, 0x2C3A, + 0x77FA, 0x2C98, + 0x77D7, 0x2CF7, + 0x77B4, 0x2D55, + 0x7790, 0x2DB3, + 0x776C, 0x2E11, + 0x7747, 0x2E6E, + 0x7723, 0x2ECC, + 0x76FE, 0x2F29, + 0x76D9, 0x2F87, + 0x76B3, 0x2FE4, + 0x768E, 0x3041, + 0x7668, 0x309E, + 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0xBA87, 0x947E, + 0xBADB, 0x9447, + 0xBB30, 0x9411, + 0xBB85, 0x93DB, + 0xBBDA, 0x93A6, + 0xBC2F, 0x9370, + 0xBC84, 0x933B, + 0xBCDA, 0x9306, + 0xBD2F, 0x92D2, + 0xBD85, 0x929D, + 0xBDDB, 0x9269, + 0xBE31, 0x9235, + 0xBE88, 0x9202, + 0xBEDE, 0x91CF, + 0xBF35, 0x919C, + 0xBF8C, 0x9169, + 0xBFE2, 0x9136, + 0xC03A, 0x9104, + 0xC091, 0x90D2, + 0xC0E8, 0x90A0, + 0xC140, 0x906F, + 0xC197, 0x903E, + 0xC1EF, 0x900D, + 0xC247, 0x8FDC, + 0xC29F, 0x8FAC, + 0xC2F8, 0x8F7C, + 0xC350, 0x8F4C, + 0xC3A9, 0x8F1D, + 0xC402, 0x8EED, + 0xC45A, 0x8EBE, + 0xC4B3, 0x8E90, + 0xC50D, 0x8E61, + 0xC566, 0x8E33, + 0xC5BF, 0x8E05, + 0xC619, 0x8DD8, + 0xC673, 0x8DAA, + 0xC6CD, 0x8D7D, + 0xC727, 0x8D50, + 0xC781, 0x8D24, + 0xC7DB, 0x8CF8, + 0xC835, 0x8CCC, + 0xC890, 0x8CA0, + 0xC8EB, 0x8C75, + 0xC945, 0x8C4A, + 0xC9A0, 0x8C1F, + 0xC9FB, 0x8BF4, + 0xCA57, 0x8BCA, + 0xCAB2, 0x8BA0, + 0xCB0D, 0x8B76, + 0xCB69, 0x8B4D, + 0xCBC5, 0x8B24, + 0xCC21, 0x8AFB, + 0xCC7D, 0x8AD2, + 0xCCD9, 0x8AAA, + 0xCD35, 0x8A82, + 0xCD91, 0x8A5A, + 0xCDEE, 0x8A33, + 0xCE4A, 0x8A0B, + 0xCEA7, 0x89E4, + 0xCF04, 0x89BE, + 0xCF61, 0x8997, + 0xCFBE, 0x8971, + 0xD01B, 0x894C, + 0xD078, 0x8926, + 0xD0D6, 0x8901, + 0xD133, 0x88DC, + 0xD191, 0x88B8, + 0xD1EE, 0x8893, + 0xD24C, 0x886F, + 0xD2AA, 0x884B, + 0xD308, 0x8828, + 0xD367, 0x8805, + 0xD3C5, 0x87E2, + 0xD423, 0x87BF, + 0xD482, 0x879D, + 0xD4E0, 0x877B, + 0xD53F, 0x8759, + 0xD59E, 0x8738, + 0xD5FD, 0x8717, + 0xD65C, 0x86F6, + 0xD6BB, 0x86D5, + 0xD71A, 0x86B5, + 0xD779, 0x8695, + 0xD7D9, 0x8675, + 0xD838, 0x8656, + 0xD898, 0x8637, + 0xD8F8, 0x8618, + 0xD957, 0x85FA, + 0xD9B7, 0x85DB, + 0xDA17, 0x85BD, + 0xDA77, 0x85A0, + 0xDAD7, 0x8582, + 0xDB38, 0x8565, + 0xDB98, 0x8549, + 0xDBF8, 0x852C, + 0xDC59, 0x8510, + 0xDCBA, 0x84F4, + 0xDD1A, 0x84D9, + 0xDD7B, 0x84BD, + 0xDDDC, 0x84A2, + 0xDE3D, 0x8488, + 0xDE9E, 0x846D, + 0xDEFF, 0x8453, + 0xDF60, 0x843A, + 0xDFC1, 0x8420, + 0xE023, 0x8407, + 0xE084, 0x83EE, + 0xE0E6, 0x83D6, + 0xE147, 0x83BD, + 0xE1A9, 0x83A5, + 0xE20A, 0x838E, + 0xE26C, 0x8376, + 0xE2CE, 0x835F, + 0xE330, 0x8348, + 0xE392, 0x8332, + 0xE3F4, 0x831C, + 0xE456, 0x8306, + 0xE4B8, 0x82F0, + 0xE51B, 0x82DB, + 0xE57D, 0x82C6, + 0xE5DF, 0x82B1, + 0xE642, 0x829D, + 0xE6A4, 0x8289, + 0xE707, 0x8275, + 0xE769, 0x8262, + 0xE7CC, 0x824F, + 0xE82F, 0x823C, + 0xE892, 0x8229, + 0xE8F5, 0x8217, + 0xE957, 0x8205, + 0xE9BA, 0x81F3, + 0xEA1D, 0x81E2, + 0xEA80, 0x81D1, + 0xEAE4, 0x81C0, + 0xEB47, 0x81B0, + 0xEBAA, 0x81A0, + 0xEC0D, 0x8190, + 0xEC71, 0x8180, + 0xECD4, 0x8171, + 0xED37, 0x8162, + 0xED9B, 0x8154, + 0xEDFE, 0x8145, + 0xEE62, 0x8137, + 0xEEC6, 0x812A, + 0xEF29, 0x811C, + 0xEF8D, 0x810F, + 0xEFF1, 0x8102, + 0xF054, 0x80F6, + 0xF0B8, 0x80EA, + 0xF11C, 0x80DE, + 0xF180, 0x80D2, + 0xF1E4, 0x80C7, + 0xF248, 0x80BC, + 0xF2AC, 0x80B2, + 0xF310, 0x80A7, + 0xF374, 0x809D, + 0xF3D8, 0x8094, + 0xF43C, 0x808A, + 0xF4A0, 0x8081, + 0xF504, 0x8078, + 0xF568, 0x8070, + 0xF5CC, 0x8068, + 0xF631, 0x8060, + 0xF695, 0x8058, + 0xF6F9, 0x8051, + 0xF75D, 0x804A, + 0xF7C2, 0x8043, + 0xF826, 0x803D, + 0xF88A, 0x8037, + 0xF8EF, 0x8031, + 0xF953, 0x802C, + 0xF9B8, 0x8027, + 0xFA1C, 0x8022, + 0xFA80, 0x801E, + 0xFAE5, 0x801A, + 0xFB49, 0x8016, + 0xFBAE, 0x8012, + 0xFC12, 0x800F, + 0xFC77, 0x800C, + 0xFCDB, 0x8009, + 0xFD40, 0x8007, + 0xFDA4, 0x8005, + 0xFE09, 0x8003, + 0xFE6D, 0x8002, + 0xFED2, 0x8001, + 0xFF36, 0x8000, + 0xFF9B, 0x8000 +}; + +/** +* \par +* Example code for q15 Twiddle factors Generation:: +* \par +* <pre>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); +* } </pre> +* \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] = +{ + 0x7FFF, 0x0000, + 0x7FFF, 0x0032, + 0x7FFF, 0x0064, + 0x7FFF, 0x0096, + 0x7FFF, 0x00C9, + 0x7FFF, 0x00FB, + 0x7FFE, 0x012D, + 0x7FFE, 0x015F, + 0x7FFD, 0x0192, + 0x7FFC, 0x01C4, + 0x7FFC, 0x01F6, + 0x7FFB, 0x0228, + 0x7FFA, 0x025B, + 0x7FF9, 0x028D, + 0x7FF8, 0x02BF, + 0x7FF7, 0x02F1, + 0x7FF6, 0x0324, + 0x7FF4, 0x0356, + 0x7FF3, 0x0388, + 0x7FF2, 0x03BA, + 0x7FF0, 0x03ED, + 0x7FEE, 0x041F, + 0x7FED, 0x0451, + 0x7FEB, 0x0483, + 0x7FE9, 0x04B6, + 0x7FE7, 0x04E8, + 0x7FE5, 0x051A, + 0x7FE3, 0x054C, + 0x7FE1, 0x057F, + 0x7FDF, 0x05B1, + 0x7FDD, 0x05E3, + 0x7FDA, 0x0615, + 0x7FD8, 0x0647, + 0x7FD6, 0x067A, + 0x7FD3, 0x06AC, + 0x7FD0, 0x06DE, + 0x7FCE, 0x0710, + 0x7FCB, 0x0742, + 0x7FC8, 0x0775, + 0x7FC5, 0x07A7, + 0x7FC2, 0x07D9, + 0x7FBF, 0x080B, + 0x7FBC, 0x083D, + 0x7FB8, 0x086F, + 0x7FB5, 0x08A2, + 0x7FB1, 0x08D4, + 0x7FAE, 0x0906, + 0x7FAA, 0x0938, + 0x7FA7, 0x096A, + 0x7FA3, 0x099C, + 0x7F9F, 0x09CE, + 0x7F9B, 0x0A00, + 0x7F97, 0x0A33, + 0x7F93, 0x0A65, + 0x7F8F, 0x0A97, + 0x7F8B, 0x0AC9, + 0x7F87, 0x0AFB, + 0x7F82, 0x0B2D, + 0x7F7E, 0x0B5F, + 0x7F79, 0x0B91, + 0x7F75, 0x0BC3, + 0x7F70, 0x0BF5, + 0x7F6B, 0x0C27, + 0x7F67, 0x0C59, + 0x7F62, 0x0C8B, + 0x7F5D, 0x0CBD, + 0x7F58, 0x0CEF, + 0x7F53, 0x0D21, + 0x7F4D, 0x0D53, + 0x7F48, 0x0D85, + 0x7F43, 0x0DB7, + 0x7F3D, 0x0DE9, + 0x7F38, 0x0E1B, + 0x7F32, 0x0E4D, + 0x7F2D, 0x0E7F, + 0x7F27, 0x0EB1, + 0x7F21, 0x0EE3, + 0x7F1B, 0x0F15, + 0x7F15, 0x0F47, + 0x7F0F, 0x0F79, + 0x7F09, 0x0FAB, + 0x7F03, 0x0FDD, + 0x7EFD, 0x100E, + 0x7EF6, 0x1040, + 0x7EF0, 0x1072, + 0x7EE9, 0x10A4, + 0x7EE3, 0x10D6, + 0x7EDC, 0x1108, + 0x7ED5, 0x1139, + 0x7ECF, 0x116B, + 0x7EC8, 0x119D, + 0x7EC1, 0x11CF, + 0x7EBA, 0x1201, + 0x7EB3, 0x1232, + 0x7EAB, 0x1264, + 0x7EA4, 0x1296, + 0x7E9D, 0x12C8, + 0x7E95, 0x12F9, + 0x7E8E, 0x132B, + 0x7E86, 0x135D, + 0x7E7F, 0x138E, + 0x7E77, 0x13C0, + 0x7E6F, 0x13F2, + 0x7E67, 0x1423, + 0x7E5F, 0x1455, + 0x7E57, 0x1487, + 0x7E4F, 0x14B8, + 0x7E47, 0x14EA, + 0x7E3F, 0x151B, + 0x7E37, 0x154D, + 0x7E2E, 0x157F, + 0x7E26, 0x15B0, + 0x7E1D, 0x15E2, + 0x7E14, 0x1613, + 0x7E0C, 0x1645, + 0x7E03, 0x1676, + 0x7DFA, 0x16A8, + 0x7DF1, 0x16D9, + 0x7DE8, 0x170A, + 0x7DDF, 0x173C, + 0x7DD6, 0x176D, + 0x7DCD, 0x179F, + 0x7DC3, 0x17D0, + 0x7DBA, 0x1802, + 0x7DB0, 0x1833, + 0x7DA7, 0x1864, + 0x7D9D, 0x1896, + 0x7D94, 0x18C7, + 0x7D8A, 0x18F8, + 0x7D80, 0x192A, + 0x7D76, 0x195B, + 0x7D6C, 0x198C, + 0x7D62, 0x19BD, + 0x7D58, 0x19EF, + 0x7D4E, 0x1A20, + 0x7D43, 0x1A51, + 0x7D39, 0x1A82, + 0x7D2F, 0x1AB3, + 0x7D24, 0x1AE4, + 0x7D19, 0x1B16, + 0x7D0F, 0x1B47, + 0x7D04, 0x1B78, + 0x7CF9, 0x1BA9, + 0x7CEE, 0x1BDA, + 0x7CE3, 0x1C0B, + 0x7CD8, 0x1C3C, + 0x7CCD, 0x1C6D, + 0x7CC2, 0x1C9E, + 0x7CB7, 0x1CCF, + 0x7CAB, 0x1D00, + 0x7CA0, 0x1D31, + 0x7C94, 0x1D62, + 0x7C89, 0x1D93, + 0x7C7D, 0x1DC4, + 0x7C71, 0x1DF5, + 0x7C66, 0x1E25, + 0x7C5A, 0x1E56, + 0x7C4E, 0x1E87, + 0x7C42, 0x1EB8, + 0x7C36, 0x1EE9, + 0x7C29, 0x1F19, + 0x7C1D, 0x1F4A, + 0x7C11, 0x1F7B, + 0x7C05, 0x1FAC, + 0x7BF8, 0x1FDC, + 0x7BEB, 0x200D, + 0x7BDF, 0x203E, + 0x7BD2, 0x206E, + 0x7BC5, 0x209F, + 0x7BB9, 0x20D0, + 0x7BAC, 0x2100, + 0x7B9F, 0x2131, + 0x7B92, 0x2161, + 0x7B84, 0x2192, + 0x7B77, 0x21C2, + 0x7B6A, 0x21F3, + 0x7B5D, 0x2223, + 0x7B4F, 0x2254, + 0x7B42, 0x2284, + 0x7B34, 0x22B4, + 0x7B26, 0x22E5, + 0x7B19, 0x2315, + 0x7B0B, 0x2345, + 0x7AFD, 0x2376, + 0x7AEF, 0x23A6, + 0x7AE1, 0x23D6, + 0x7AD3, 0x2407, + 0x7AC5, 0x2437, + 0x7AB6, 0x2467, + 0x7AA8, 0x2497, + 0x7A9A, 0x24C7, + 0x7A8B, 0x24F7, + 0x7A7D, 0x2528, + 0x7A6E, 0x2558, + 0x7A5F, 0x2588, + 0x7A50, 0x25B8, + 0x7A42, 0x25E8, + 0x7A33, 0x2618, + 0x7A24, 0x2648, + 0x7A15, 0x2678, + 0x7A05, 0x26A8, + 0x79F6, 0x26D8, + 0x79E7, 0x2707, + 0x79D8, 0x2737, + 0x79C8, 0x2767, + 0x79B9, 0x2797, + 0x79A9, 0x27C7, + 0x7999, 0x27F6, + 0x798A, 0x2826, + 0x797A, 0x2856, + 0x796A, 0x2886, + 0x795A, 0x28B5, + 0x794A, 0x28E5, + 0x793A, 0x2915, + 0x792A, 0x2944, + 0x7919, 0x2974, + 0x7909, 0x29A3, + 0x78F9, 0x29D3, + 0x78E8, 0x2A02, + 0x78D8, 0x2A32, + 0x78C7, 0x2A61, + 0x78B6, 0x2A91, + 0x78A6, 0x2AC0, + 0x7895, 0x2AEF, + 0x7884, 0x2B1F, + 0x7873, 0x2B4E, + 0x7862, 0x2B7D, + 0x7851, 0x2BAD, + 0x7840, 0x2BDC, + 0x782E, 0x2C0B, + 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0x8245, + 0xE82F, 0x823C, + 0xE860, 0x8232, + 0xE892, 0x8229, + 0xE8C3, 0x8220, + 0xE8F5, 0x8217, + 0xE926, 0x820E, + 0xE957, 0x8205, + 0xE989, 0x81FC, + 0xE9BA, 0x81F3, + 0xE9EC, 0x81EB, + 0xEA1D, 0x81E2, + 0xEA4F, 0x81D9, + 0xEA80, 0x81D1, + 0xEAB2, 0x81C8, + 0xEAE4, 0x81C0, + 0xEB15, 0x81B8, + 0xEB47, 0x81B0, + 0xEB78, 0x81A8, + 0xEBAA, 0x81A0, + 0xEBDC, 0x8198, + 0xEC0D, 0x8190, + 0xEC3F, 0x8188, + 0xEC71, 0x8180, + 0xECA2, 0x8179, + 0xECD4, 0x8171, + 0xED06, 0x816A, + 0xED37, 0x8162, + 0xED69, 0x815B, + 0xED9B, 0x8154, + 0xEDCD, 0x814C, + 0xEDFE, 0x8145, + 0xEE30, 0x813E, + 0xEE62, 0x8137, + 0xEE94, 0x8130, + 0xEEC6, 0x812A, + 0xEEF7, 0x8123, + 0xEF29, 0x811C, + 0xEF5B, 0x8116, + 0xEF8D, 0x810F, + 0xEFBF, 0x8109, + 0xEFF1, 0x8102, + 0xF022, 0x80FC, + 0xF054, 0x80F6, + 0xF086, 0x80F0, + 0xF0B8, 0x80EA, + 0xF0EA, 0x80E4, + 0xF11C, 0x80DE, + 0xF14E, 0x80D8, + 0xF180, 0x80D2, + 0xF1B2, 0x80CD, + 0xF1E4, 0x80C7, + 0xF216, 0x80C2, + 0xF248, 0x80BC, + 0xF27A, 0x80B7, + 0xF2AC, 0x80B2, + 0xF2DE, 0x80AC, + 0xF310, 0x80A7, + 0xF342, 0x80A2, + 0xF374, 0x809D, + 0xF3A6, 0x8098, + 0xF3D8, 0x8094, + 0xF40A, 0x808F, + 0xF43C, 0x808A, + 0xF46E, 0x8086, + 0xF4A0, 0x8081, + 0xF4D2, 0x807D, + 0xF504, 0x8078, + 0xF536, 0x8074, + 0xF568, 0x8070, + 0xF59A, 0x806C, + 0xF5CC, 0x8068, + 0xF5FF, 0x8064, + 0xF631, 0x8060, + 0xF663, 0x805C, + 0xF695, 0x8058, + 0xF6C7, 0x8055, + 0xF6F9, 0x8051, + 0xF72B, 0x804E, + 0xF75D, 0x804A, + 0xF790, 0x8047, + 0xF7C2, 0x8043, + 0xF7F4, 0x8040, + 0xF826, 0x803D, + 0xF858, 0x803A, + 0xF88A, 0x8037, + 0xF8BD, 0x8034, + 0xF8EF, 0x8031, + 0xF921, 0x802F, + 0xF953, 0x802C, + 0xF985, 0x8029, + 0xF9B8, 0x8027, + 0xF9EA, 0x8025, + 0xFA1C, 0x8022, + 0xFA4E, 0x8020, + 0xFA80, 0x801E, + 0xFAB3, 0x801C, + 0xFAE5, 0x801A, + 0xFB17, 0x8018, + 0xFB49, 0x8016, + 0xFB7C, 0x8014, + 0xFBAE, 0x8012, + 0xFBE0, 0x8011, + 0xFC12, 0x800F, + 0xFC45, 0x800D, + 0xFC77, 0x800C, + 0xFCA9, 0x800B, + 0xFCDB, 0x8009, + 0xFD0E, 0x8008, + 0xFD40, 0x8007, + 0xFD72, 0x8006, + 0xFDA4, 0x8005, + 0xFDD7, 0x8004, + 0xFE09, 0x8003, + 0xFE3B, 0x8003, + 0xFE6D, 0x8002, + 0xFEA0, 0x8001, + 0xFED2, 0x8001, + 0xFF04, 0x8000, + 0xFF36, 0x8000, + 0xFF69, 0x8000, + 0xFF9B, 0x8000, + 0xFFCD, 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[ARMBITREVINDEXTABLE1024_TABLE_LENGTH] = +{ + //8x2, size 1800 + 8,4096, 16,512, 24,4608, 32,1024, 40,5120, 48,1536, 56,5632, 64,2048, + 72,6144, 80,2560, 88,6656, 96,3072, 104,7168, 112,3584, 120,7680, 128,2048, + 136,4160, 144,576, 152,4672, 160,1088, 168,5184, 176,1600, 184,5696, + 192,2112, 200,6208, 208,2624, 216,6720, 224,3136, 232,7232, 240,3648, + 248,7744, 256,2048, 264,4224, 272,640, 280,4736, 288,1152, 296,5248, + 304,1664, 312,5760, 320,2176, 328,6272, 336,2688, 344,6784, 352,3200, + 360,7296, 368,3712, 376,7808, 384,2112, 392,4288, 400,704, 408,4800, + 416,1216, 424,5312, 432,1728, 440,5824, 448,2240, 456,6336, 464,2752, + 472,6848, 480,3264, 488,7360, 496,3776, 504,7872, 512,2048, 520,4352, + 528,768, 536,4864, 544,1280, 552,5376, 560,1792, 568,5888, 576,2304, + 584,6400, 592,2816, 600,6912, 608,3328, 616,7424, 624,3840, 632,7936, + 640,2176, 648,4416, 656,832, 664,4928, 672,1344, 680,5440, 688,1856, + 696,5952, 704,2368, 712,6464, 720,2880, 728,6976, 736,3392, 744,7488, + 752,3904, 760,8000, 768,2112, 776,4480, 784,896, 792,4992, 800,1408, + 808,5504, 816,1920, 824,6016, 832,2432, 840,6528, 848,2944, 856,7040, + 864,3456, 872,7552, 880,3968, 888,8064, 896,2240, 904,4544, 912,960, + 920,5056, 928,1472, 936,5568, 944,1984, 952,6080, 960,2496, 968,6592, + 976,3008, 984,7104, 992,3520, 1000,7616, 1008,4032, 1016,8128, 1024,4096, + 1032,4104, 1040,4352, 1048,4616, 1056,4104, 1064,5128, 1072,1544, + 1080,5640, 1088,2056, 1096,6152, 1104,2568, 1112,6664, 1120,3080, + 1128,7176, 1136,3592, 1144,7688, 1152,6144, 1160,4168, 1168,6400, + 1176,4680, 1184,6152, 1192,5192, 1200,1608, 1208,5704, 1216,2120, + 1224,6216, 1232,2632, 1240,6728, 1248,3144, 1256,7240, 1264,3656, + 1272,7752, 1280,4160, 1288,4232, 1296,4416, 1304,4744, 1312,4168, + 1320,5256, 1328,1672, 1336,5768, 1344,2184, 1352,6280, 1360,2696, + 1368,6792, 1376,3208, 1384,7304, 1392,3720, 1400,7816, 1408,6208, + 1416,4296, 1424,6464, 1432,4808, 1440,6216, 1448,5320, 1456,1736, + 1464,5832, 1472,2248, 1480,6344, 1488,2760, 1496,6856, 1504,3272, + 1512,7368, 1520,3784, 1528,7880, 1536,4224, 1544,4360, 1552,4480, + 1560,4872, 1568,4232, 1576,5384, 1584,1800, 1592,5896, 1600,2312, + 1608,6408, 1616,2824, 1624,6920, 1632,3336, 1640,7432, 1648,3848, + 1656,7944, 1664,6272, 1672,4424, 1680,6528, 1688,4936, 1696,6280, + 1704,5448, 1712,1864, 1720,5960, 1728,2376, 1736,6472, 1744,2888, + 1752,6984, 1760,3400, 1768,7496, 1776,3912, 1784,8008, 1792,4288, + 1800,4488, 1808,4544, 1816,5000, 1824,4296, 1832,5512, 1840,1928, + 1848,6024, 1856,2440, 1864,6536, 1872,2952, 1880,7048, 1888,3464, + 1896,7560, 1904,3976, 1912,8072, 1920,6336, 1928,4552, 1936,6592, + 1944,5064, 1952,6344, 1960,5576, 1968,1992, 1976,6088, 1984,2504, + 1992,6600, 2000,3016, 2008,7112, 2016,3528, 2024,7624, 2032,4040, + 2040,8136, 2056,4112, 2064,2112, 2072,4624, 2080,4352, 2088,5136, + 2096,4480, 2104,5648, 2120,6160, 2128,2576, 2136,6672, 2144,3088, + 2152,7184, 2160,3600, 2168,7696, 2176,2560, 2184,4176, 2192,2816, + 2200,4688, 2208,2568, 2216,5200, 2224,2824, 2232,5712, 2240,2576, + 2248,6224, 2256,2640, 2264,6736, 2272,3152, 2280,7248, 2288,3664, + 2296,7760, 2312,4240, 2320,2432, 2328,4752, 2336,6400, 2344,5264, + 2352,6528, 2360,5776, 2368,2816, 2376,6288, 2384,2704, 2392,6800, + 2400,3216, 2408,7312, 2416,3728, 2424,7824, 2432,2624, 2440,4304, + 2448,2880, 2456,4816, 2464,2632, 2472,5328, 2480,2888, 2488,5840, + 2496,2640, 2504,6352, 2512,2768, 2520,6864, 2528,3280, 2536,7376, + 2544,3792, 2552,7888, 2568,4368, 2584,4880, 2592,4416, 2600,5392, + 2608,4544, 2616,5904, 2632,6416, 2640,2832, 2648,6928, 2656,3344, + 2664,7440, 2672,3856, 2680,7952, 2696,4432, 2704,2944, 2712,4944, + 2720,4432, 2728,5456, 2736,2952, 2744,5968, 2752,2944, 2760,6480, + 2768,2896, 2776,6992, 2784,3408, 2792,7504, 2800,3920, 2808,8016, + 2824,4496, 2840,5008, 2848,6464, 2856,5520, 2864,6592, 2872,6032, + 2888,6544, 2896,2960, 2904,7056, 2912,3472, 2920,7568, 2928,3984, + 2936,8080, 2952,4560, 2960,3008, 2968,5072, 2976,6480, 2984,5584, + 2992,3016, 3000,6096, 3016,6608, 3032,7120, 3040,3536, 3048,7632, + 3056,4048, 3064,8144, 3072,4608, 3080,4120, 3088,4864, 3096,4632, + 3104,4616, 3112,5144, 3120,4872, 3128,5656, 3136,4624, 3144,6168, + 3152,4880, 3160,6680, 3168,4632, 3176,7192, 3184,3608, 3192,7704, + 3200,6656, 3208,4184, 3216,6912, 3224,4696, 3232,6664, 3240,5208, + 3248,6920, 3256,5720, 3264,6672, 3272,6232, 3280,6928, 3288,6744, + 3296,6680, 3304,7256, 3312,3672, 3320,7768, 3328,4672, 3336,4248, + 3344,4928, 3352,4760, 3360,4680, 3368,5272, 3376,4936, 3384,5784, + 3392,4688, 3400,6296, 3408,4944, 3416,6808, 3424,4696, 3432,7320, + 3440,3736, 3448,7832, 3456,6720, 3464,4312, 3472,6976, 3480,4824, + 3488,6728, 3496,5336, 3504,6984, 3512,5848, 3520,6736, 3528,6360, + 3536,6992, 3544,6872, 3552,6744, 3560,7384, 3568,3800, 3576,7896, + 3584,4736, 3592,4376, 3600,4992, 3608,4888, 3616,4744, 3624,5400, + 3632,5000, 3640,5912, 3648,4752, 3656,6424, 3664,5008, 3672,6936, + 3680,4760, 3688,7448, 3696,3864, 3704,7960, 3712,6784, 3720,4440, + 3728,7040, 3736,4952, 3744,6792, 3752,5464, 3760,7048, 3768,5976, + 3776,6800, 3784,6488, 3792,7056, 3800,7000, 3808,6808, 3816,7512, + 3824,3928, 3832,8024, 3840,4800, 3848,4504, 3856,5056, 3864,5016, + 3872,4808, 3880,5528, 3888,5064, 3896,6040, 3904,4816, 3912,6552, + 3920,5072, 3928,7064, 3936,4824, 3944,7576, 3952,3992, 3960,8088, + 3968,6848, 3976,4568, 3984,7104, 3992,5080, 4000,6856, 4008,5592, + 4016,7112, 4024,6104, 4032,6864, 4040,6616, 4048,7120, 4056,7128, + 4064,6872, 4072,7640, 4080,7128, 4088,8152, 4104,4128, 4112,4160, + 4120,4640, 4136,5152, 4144,4232, 4152,5664, 4160,4352, 4168,6176, + 4176,4416, 4184,6688, 4192,4616, 4200,7200, 4208,4744, 4216,7712, + 4224,4608, 4232,4616, 4240,4672, 4248,4704, 4256,4640, 4264,5216, + 4272,4704, 4280,5728, 4288,4864, 4296,6240, 4304,4928, 4312,6752, + 4320,4632, 4328,7264, 4336,4760, 4344,7776, 4360,4640, 4368,4416, + 4376,4768, 4384,6152, 4392,5280, 4400,6280, 4408,5792, 4424,6304, + 4440,6816, 4448,6664, 4456,7328, 4464,6792, 4472,7840, 4480,4624, + 4488,4632, 4496,4688, 4504,4832, 4512,6168, 4520,5344, 4528,6296, + 4536,5856, 4544,4880, 4552,6368, 4560,4944, 4568,6880, 4576,6680, + 4584,7392, 4592,6808, 4600,7904, 4608,6144, 4616,6152, 4624,6208, + 4632,4896, 4640,6176, 4648,5408, 4656,6240, 4664,5920, 4672,6400, + 4680,6432, 4688,6464, 4696,6944, 4704,6432, 4712,7456, 4720,4808, + 4728,7968, 4736,6656, 4744,6664, 4752,6720, 4760,4960, 4768,6688, + 4776,5472, 4784,6752, 4792,5984, 4800,6912, 4808,6496, 4816,6976, + 4824,7008, 4832,6944, 4840,7520, 4848,7008, 4856,8032, 4864,6160, + 4872,6168, 4880,6224, 4888,5024, 4896,6216, 4904,5536, 4912,6344, + 4920,6048, 4928,6416, 4936,6560, 4944,6480, 4952,7072, 4960,6728, + 4968,7584, 4976,6856, 4984,8096, 4992,6672, 5000,6680, 5008,6736, + 5016,5088, 5024,6232, 5032,5600, 5040,6360, 5048,6112, 5056,6928, + 5064,6624, 5072,6992, 5080,7136, 5088,6744, 5096,7648, 5104,6872, + 5112,8160, 5128,5152, 5136,5376, 5144,5408, 5168,5384, 5176,5672, + 5184,5376, 5192,6184, 5200,5392, 5208,6696, 5216,5408, 5224,7208, + 5232,5400, 5240,7720, 5248,7168, 5256,7200, 5264,7424, 5272,7456, + 5280,7176, 5288,7208, 5296,7432, 5304,5736, 5312,7184, 5320,6248, + 5328,7440, 5336,6760, 5344,7192, 5352,7272, 5360,7448, 5368,7784, + 5384,5408, 5392,5440, 5400,5472, 5408,6184, 5416,7208, 5424,5448, + 5432,5800, 5448,6312, 5464,6824, 5472,6696, 5480,7336, 5488,6824, + 5496,7848, 5504,7232, 5512,7264, 5520,7488, 5528,7520, 5536,7240, + 5544,7272, 5552,7496, 5560,5864, 5568,7248, 5576,6376, 5584,7504, + 5592,6888, 5600,7256, 5608,7400, 5616,7512, 5624,7912, 5632,7168, + 5640,7176, 5648,7232, 5656,7240, 5664,7200, 5672,7208, 5680,7264, + 5688,5928, 5696,7424, 5704,6440, 5712,7488, 5720,6952, 5728,7456, + 5736,7464, 5744,7520, 5752,7976, 5760,7296, 5768,7328, 5776,7552, + 5784,7584, 5792,7304, 5800,7336, 5808,7560, 5816,5992, 5824,7312, + 5832,6504, 5840,7568, 5848,7016, 5856,7320, 5864,7528, 5872,7576, + 5880,8040, 5888,7184, 5896,7192, 5904,7248, 5912,7256, 5920,6248, + 5928,7272, 5936,6376, 5944,6056, 5952,7440, 5960,6568, 5968,7504, + 5976,7080, 5984,6760, 5992,7592, 6000,6888, 6008,8104, 6016,7360, + 6024,7392, 6032,7616, 6040,7648, 6048,7368, 6056,7400, 6064,7624, + 6072,6120, 6080,7376, 6088,6632, 6096,7632, 6104,7144, 6112,7384, + 6120,7656, 6128,7640, 6136,8168, 6168,6240, 6192,6216, 6200,7264, + 6232,6704, 6248,7216, 6256,6680, 6264,7728, 6272,6656, 6280,6664, + 6288,6912, 6296,6496, 6304,6688, 6312,6696, 6320,6944, 6328,7520, + 6336,6672, 6344,6680, 6352,6928, 6360,6768, 6368,6704, 6376,7280, + 6384,6744, 6392,7792, 6408,6432, 6424,6752, 6440,7432, 6448,6536, + 6456,7560, 6472,6944, 6488,6832, 6496,6920, 6504,7344, 6512,7048, + 6520,7856, 6528,6720, 6536,6728, 6544,6976, 6552,7008, 6560,6752, + 6568,7448, 6576,7008, 6584,7576, 6592,6736, 6600,6744, 6608,6992, + 6616,6896, 6624,6936, 6632,7408, 6640,7064, 6648,7920, 6712,7280, + 6744,6960, 6760,7472, 6768,6936, 6776,7984, 6800,6848, 6808,6856, + 6832,6880, 6840,6888, 6848,7040, 6856,7048, 6864,7104, 6872,7024, + 6880,7072, 6888,7536, 6896,7136, 6904,8048, 6952,7496, 6968,7624, + 6984,7008, 7000,7088, 7016,7600, 7024,7112, 7032,8112, 7056,7104, + 7064,7112, 7080,7512, 7088,7136, 7096,7640, 7128,7152, 7144,7664, + 7160,8176, 7176,7200, 7192,7216, 7224,7272, 7240,7264, 7256,7280, + 7288,7736, 7296,7680, 7304,7712, 7312,7936, 7320,7968, 7328,7688, + 7336,7720, 7344,7944, 7352,7976, 7360,7696, 7368,7728, 7376,7952, + 7384,7984, 7392,7704, 7400,7736, 7408,7960, 7416,7800, 7432,7456, + 7448,7472, 7480,7592, 7496,7520, 7512,7536, 7528,7976, 7544,7864, + 7552,7744, 7560,7776, 7568,8000, 7576,8032, 7584,7752, 7592,7784, + 7600,8008, 7608,8040, 7616,7760, 7624,7792, 7632,8016, 7640,8048, + 7648,7768, 7656,7800, 7664,8024, 7672,7928, 7688,7712, 7704,7728, + 7752,7776, 7768,7792, 7800,7992, 7816,7840, 7824,8064, 7832,8096, + 7856,8072, 7864,8104, 7872,8064, 7880,8072, 7888,8080, 7896,8112, + 7904,8096, 7912,8104, 7920,8088, 7928,8056, 7944,7968, 7960,7984, + 8008,8032, 8024,8048, 8056,8120, 8072,8096, 8080,8128, 8088,8160, + 8112,8136, 8120,8168, 8136,8160, 8152,8176 +}; + +const uint16_t armBitRevIndexTable2048[ARMBITREVINDEXTABLE2048_TABLE_LENGTH] = +{ + //8x2, size 3808 + 8,4096, 16,8192, 24,12288, 32,512, 40,4608, 48,8704, 56,12800, 64,1024, + 72,5120, 80,9216, 88,13312, 96,1536, 104,5632, 112,9728, 120,13824, + 128,2048, 136,6144, 144,10240, 152,14336, 160,2560, 168,6656, 176,10752, + 184,14848, 192,3072, 200,7168, 208,11264, 216,15360, 224,3584, 232,7680, + 240,11776, 248,15872, 256,1024, 264,4160, 272,8256, 280,12352, 288,576, + 296,4672, 304,8768, 312,12864, 320,1088, 328,5184, 336,9280, 344,13376, + 352,1600, 360,5696, 368,9792, 376,13888, 384,2112, 392,6208, 400,10304, + 408,14400, 416,2624, 424,6720, 432,10816, 440,14912, 448,3136, 456,7232, + 464,11328, 472,15424, 480,3648, 488,7744, 496,11840, 504,15936, 512,2048, + 520,4224, 528,8320, 536,12416, 544,640, 552,4736, 560,8832, 568,12928, + 576,1152, 584,5248, 592,9344, 600,13440, 608,1664, 616,5760, 624,9856, + 632,13952, 640,2176, 648,6272, 656,10368, 664,14464, 672,2688, 680,6784, + 688,10880, 696,14976, 704,3200, 712,7296, 720,11392, 728,15488, 736,3712, + 744,7808, 752,11904, 760,16000, 768,3072, 776,4288, 784,8384, 792,12480, + 800,3200, 808,4800, 816,8896, 824,12992, 832,1216, 840,5312, 848,9408, + 856,13504, 864,1728, 872,5824, 880,9920, 888,14016, 896,2240, 904,6336, + 912,10432, 920,14528, 928,2752, 936,6848, 944,10944, 952,15040, 960,3264, + 968,7360, 976,11456, 984,15552, 992,3776, 1000,7872, 1008,11968, 1016,16064, + 1032,4352, 1040,8448, 1048,12544, 1056,3072, 1064,4864, 1072,8960, + 1080,13056, 1088,1280, 1096,5376, 1104,9472, 1112,13568, 1120,1792, + 1128,5888, 1136,9984, 1144,14080, 1152,2304, 1160,6400, 1168,10496, + 1176,14592, 1184,2816, 1192,6912, 1200,11008, 1208,15104, 1216,3328, + 1224,7424, 1232,11520, 1240,15616, 1248,3840, 1256,7936, 1264,12032, + 1272,16128, 1288,4416, 1296,8512, 1304,12608, 1312,3328, 1320,4928, + 1328,9024, 1336,13120, 1352,5440, 1360,9536, 1368,13632, 1376,1856, + 1384,5952, 1392,10048, 1400,14144, 1408,2368, 1416,6464, 1424,10560, + 1432,14656, 1440,2880, 1448,6976, 1456,11072, 1464,15168, 1472,3392, + 1480,7488, 1488,11584, 1496,15680, 1504,3904, 1512,8000, 1520,12096, + 1528,16192, 1536,2112, 1544,4480, 1552,8576, 1560,12672, 1568,2240, + 1576,4992, 1584,9088, 1592,13184, 1600,2368, 1608,5504, 1616,9600, + 1624,13696, 1632,1920, 1640,6016, 1648,10112, 1656,14208, 1664,2432, + 1672,6528, 1680,10624, 1688,14720, 1696,2944, 1704,7040, 1712,11136, + 1720,15232, 1728,3456, 1736,7552, 1744,11648, 1752,15744, 1760,3968, + 1768,8064, 1776,12160, 1784,16256, 1792,3136, 1800,4544, 1808,8640, + 1816,12736, 1824,3264, 1832,5056, 1840,9152, 1848,13248, 1856,3392, + 1864,5568, 1872,9664, 1880,13760, 1888,1984, 1896,6080, 1904,10176, + 1912,14272, 1920,2496, 1928,6592, 1936,10688, 1944,14784, 1952,3008, + 1960,7104, 1968,11200, 1976,15296, 1984,3520, 1992,7616, 2000,11712, + 2008,15808, 2016,4032, 2024,8128, 2032,12224, 2040,16320, 2048,4096, + 2056,4104, 2064,8200, 2072,12296, 2080,4224, 2088,4616, 2096,8712, + 2104,12808, 2112,4352, 2120,5128, 2128,9224, 2136,13320, 2144,4480, + 2152,5640, 2160,9736, 2168,13832, 2176,4104, 2184,6152, 2192,10248, + 2200,14344, 2208,2568, 2216,6664, 2224,10760, 2232,14856, 2240,3080, + 2248,7176, 2256,11272, 2264,15368, 2272,3592, 2280,7688, 2288,11784, + 2296,15880, 2304,5120, 2312,4168, 2320,8264, 2328,12360, 2336,5248, + 2344,4680, 2352,8776, 2360,12872, 2368,5376, 2376,5192, 2384,9288, + 2392,13384, 2400,5504, 2408,5704, 2416,9800, 2424,13896, 2432,5128, + 2440,6216, 2448,10312, 2456,14408, 2464,2632, 2472,6728, 2480,10824, + 2488,14920, 2496,3144, 2504,7240, 2512,11336, 2520,15432, 2528,3656, + 2536,7752, 2544,11848, 2552,15944, 2560,6144, 2568,4232, 2576,8328, + 2584,12424, 2592,6272, 2600,4744, 2608,8840, 2616,12936, 2624,6400, + 2632,5256, 2640,9352, 2648,13448, 2656,6528, 2664,5768, 2672,9864, + 2680,13960, 2688,6152, 2696,6280, 2704,10376, 2712,14472, 2720,6280, + 2728,6792, 2736,10888, 2744,14984, 2752,3208, 2760,7304, 2768,11400, + 2776,15496, 2784,3720, 2792,7816, 2800,11912, 2808,16008, 2816,7168, + 2824,4296, 2832,8392, 2840,12488, 2848,7296, 2856,4808, 2864,8904, + 2872,13000, 2880,7424, 2888,5320, 2896,9416, 2904,13512, 2912,7552, + 2920,5832, 2928,9928, 2936,14024, 2944,7176, 2952,6344, 2960,10440, + 2968,14536, 2976,7304, 2984,6856, 2992,10952, 3000,15048, 3008,3272, + 3016,7368, 3024,11464, 3032,15560, 3040,3784, 3048,7880, 3056,11976, + 3064,16072, 3072,4160, 3080,4360, 3088,8456, 3096,12552, 3104,4288, + 3112,4872, 3120,8968, 3128,13064, 3136,4416, 3144,5384, 3152,9480, + 3160,13576, 3168,4544, 3176,5896, 3184,9992, 3192,14088, 3200,4168, + 3208,6408, 3216,10504, 3224,14600, 3232,4296, 3240,6920, 3248,11016, + 3256,15112, 3264,3336, 3272,7432, 3280,11528, 3288,15624, 3296,3848, + 3304,7944, 3312,12040, 3320,16136, 3328,5184, 3336,4424, 3344,8520, + 3352,12616, 3360,5312, 3368,4936, 3376,9032, 3384,13128, 3392,5440, + 3400,5448, 3408,9544, 3416,13640, 3424,5568, 3432,5960, 3440,10056, + 3448,14152, 3456,5192, 3464,6472, 3472,10568, 3480,14664, 3488,5320, + 3496,6984, 3504,11080, 3512,15176, 3520,5448, 3528,7496, 3536,11592, + 3544,15688, 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14208,15648, 14216,15776, 14224,15656, 14232,14832, + 14240,15664, 14248,15784, 14256,15576, 14264,15344, 14272,15712, + 14280,15840, 14288,15720, 14296,15856, 14304,15728, 14312,15848, + 14320,15832, 14328,16368, 14392,14488, 14400,14592, 14408,14600, + 14416,14608, 14424,14616, 14432,14624, 14440,14632, 14448,14640, + 14456,15512, 14504,14512, 14520,14904, 14528,14720, 14536,14728, + 14544,14736, 14552,15416, 14560,14752, 14568,14576, 14584,15928, + 14576,14760, 14592,15360, 14600,15368, 14608,15376, 14616,15384, + 14624,15392, 14632,15400, 14640,15408, 14648,15416, 14656,15616, + 14664,15624, 14672,15632, 14680,15640, 14688,15648, 14696,15656, + 14704,15664, 14712,15576, 14720,15488, 14728,15496, 14736,15504, + 14744,15512, 14752,15520, 14760,14768, 14776,14968, 14768,15528, + 14784,15744, 14792,15752, 14800,15760, 14808,15480, 14816,15776, + 14824,14832, 14840,15992, 14832,15784, 14856,14864, 14864,14880, + 14872,14896, 14880,14976, 14888,14992, 14896,15008, 14904,15024, + 14912,15104, 14920,15120, 14928,15136, 14936,15152, 14944,15232, + 14952,15248, 14960,15264, 14968,15280, 14984,15008, 15000,15024, + 15016,15024, 15040,15112, 15048,15128, 15056,15144, 15064,15544, + 15072,15240, 15080,15256, 15088,15272, 15096,16056, 15104,15872, + 15112,15888, 15120,15904, 15128,15920, 15136,16000, 15144,16016, + 15152,16032, 15160,16048, 15168,16128, 15176,16144, 15184,16160, + 15192,16176, 15200,16256, 15208,16272, 15216,16288, 15224,16304, + 15232,15880, 15240,15896, 15248,15912, 15256,15928, 15264,16008, + 15272,16024, 15280,16040, 15288,16056, 15296,16136, 15304,16152, + 15312,16168, 15320,15608, 15328,16264, 15336,16280, 15344,16296, + 15352,16120, 15416,15512, 15424,15616, 15432,15624, 15440,15632, + 15448,15640, 15456,15648, 15464,15656, 15472,15664, 15480,15768, + 15528,15536, 15544,16048, 15552,15744, 15560,15752, 15568,15760, + 15576,15672, 15584,15776, 15592,15600, 15600,15784, 15608,16184, + 15672,15768, 15736,15832, 15784,15792, 15800,16304, 15848,15856, + 15880,16000, 15864,16248, 15888,16000, 15896,16008, 15904,16000, + 15912,16016, 15920,16008, 15928,16024, 15936,16128, 15944,16160, + 15952,16256, 15960,16288, 15968,16136, 15976,16168, 15984,16264, + 15992,16296, 16008,16032, 16024,16040, 16064,16144, 16040,16048, + 16072,16176, 16080,16272, 16088,16304, 16096,16152, 16104,16184, + 16112,16280, 16136,16256, 16120,16312, 16144,16256, 16152,16264, + 16160,16256, 16168,16272, 16176,16264, 16184,16280, 16200,16208, + 16208,16224, 16216,16240, 16224,16320, 16232,16336, 16240,16352, + 16248,16368, 16264,16288, 16280,16296, 16296,16304, 16344,16368, + 16328,16352, 16360,16368 +}; + +const uint16_t armBitRevIndexTable4096[ARMBITREVINDEXTABLE4096_TABLE_LENGTH] = +{ + //radix 8, size 4032 + 8,4096, 16,8192, 24,12288, 32,16384, 40,20480, 48,24576, 56,28672, 64,512, + 72,4608, 80,8704, 88,12800, 96,16896, 104,20992, 112,25088, 120,29184, + 128,1024, 136,5120, 144,9216, 152,13312, 160,17408, 168,21504, 176,25600, + 184,29696, 192,1536, 200,5632, 208,9728, 216,13824, 224,17920, 232,22016, + 240,26112, 248,30208, 256,2048, 264,6144, 272,10240, 280,14336, 288,18432, + 296,22528, 304,26624, 312,30720, 320,2560, 328,6656, 336,10752, 344,14848, + 352,18944, 360,23040, 368,27136, 376,31232, 384,3072, 392,7168, 400,11264, + 408,15360, 416,19456, 424,23552, 432,27648, 440,31744, 448,3584, 456,7680, + 464,11776, 472,15872, 480,19968, 488,24064, 496,28160, 504,32256, 520,4160, + 528,8256, 536,12352, 544,16448, 552,20544, 560,24640, 568,28736, 584,4672, + 592,8768, 600,12864, 608,16960, 616,21056, 624,25152, 632,29248, 640,1088, + 648,5184, 656,9280, 664,13376, 672,17472, 680,21568, 688,25664, 696,29760, + 704,1600, 712,5696, 720,9792, 728,13888, 736,17984, 744,22080, 752,26176, + 760,30272, 768,2112, 776,6208, 784,10304, 792,14400, 800,18496, 808,22592, + 816,26688, 824,30784, 832,2624, 840,6720, 848,10816, 856,14912, 864,19008, + 872,23104, 880,27200, 888,31296, 896,3136, 904,7232, 912,11328, 920,15424, + 928,19520, 936,23616, 944,27712, 952,31808, 960,3648, 968,7744, 976,11840, + 984,15936, 992,20032, 1000,24128, 1008,28224, 1016,32320, 1032,4224, + 1040,8320, 1048,12416, 1056,16512, 1064,20608, 1072,24704, 1080,28800, + 1096,4736, 1104,8832, 1112,12928, 1120,17024, 1128,21120, 1136,25216, + 1144,29312, 1160,5248, 1168,9344, 1176,13440, 1184,17536, 1192,21632, + 1200,25728, 1208,29824, 1216,1664, 1224,5760, 1232,9856, 1240,13952, + 1248,18048, 1256,22144, 1264,26240, 1272,30336, 1280,2176, 1288,6272, + 1296,10368, 1304,14464, 1312,18560, 1320,22656, 1328,26752, 1336,30848, + 1344,2688, 1352,6784, 1360,10880, 1368,14976, 1376,19072, 1384,23168, + 1392,27264, 1400,31360, 1408,3200, 1416,7296, 1424,11392, 1432,15488, + 1440,19584, 1448,23680, 1456,27776, 1464,31872, 1472,3712, 1480,7808, + 1488,11904, 1496,16000, 1504,20096, 1512,24192, 1520,28288, 1528,32384, + 1544,4288, 1552,8384, 1560,12480, 1568,16576, 1576,20672, 1584,24768, + 1592,28864, 1608,4800, 1616,8896, 1624,12992, 1632,17088, 1640,21184, + 1648,25280, 1656,29376, 1672,5312, 1680,9408, 1688,13504, 1696,17600, + 1704,21696, 1712,25792, 1720,29888, 1736,5824, 1744,9920, 1752,14016, + 1760,18112, 1768,22208, 1776,26304, 1784,30400, 1792,2240, 1800,6336, + 1808,10432, 1816,14528, 1824,18624, 1832,22720, 1840,26816, 1848,30912, + 1856,2752, 1864,6848, 1872,10944, 1880,15040, 1888,19136, 1896,23232, + 1904,27328, 1912,31424, 1920,3264, 1928,7360, 1936,11456, 1944,15552, + 1952,19648, 1960,23744, 1968,27840, 1976,31936, 1984,3776, 1992,7872, + 2000,11968, 2008,16064, 2016,20160, 2024,24256, 2032,28352, 2040,32448, + 2056,4352, 2064,8448, 2072,12544, 2080,16640, 2088,20736, 2096,24832, + 2104,28928, 2120,4864, 2128,8960, 2136,13056, 2144,17152, 2152,21248, + 2160,25344, 2168,29440, 2184,5376, 2192,9472, 2200,13568, 2208,17664, + 2216,21760, 2224,25856, 2232,29952, 2248,5888, 2256,9984, 2264,14080, + 2272,18176, 2280,22272, 2288,26368, 2296,30464, 2312,6400, 2320,10496, + 2328,14592, 2336,18688, 2344,22784, 2352,26880, 2360,30976, 2368,2816, + 2376,6912, 2384,11008, 2392,15104, 2400,19200, 2408,23296, 2416,27392, + 2424,31488, 2432,3328, 2440,7424, 2448,11520, 2456,15616, 2464,19712, + 2472,23808, 2480,27904, 2488,32000, 2496,3840, 2504,7936, 2512,12032, + 2520,16128, 2528,20224, 2536,24320, 2544,28416, 2552,32512, 2568,4416, + 2576,8512, 2584,12608, 2592,16704, 2600,20800, 2608,24896, 2616,28992, + 2632,4928, 2640,9024, 2648,13120, 2656,17216, 2664,21312, 2672,25408, + 2680,29504, 2696,5440, 2704,9536, 2712,13632, 2720,17728, 2728,21824, + 2736,25920, 2744,30016, 2760,5952, 2768,10048, 2776,14144, 2784,18240, + 2792,22336, 2800,26432, 2808,30528, 2824,6464, 2832,10560, 2840,14656, + 2848,18752, 2856,22848, 2864,26944, 2872,31040, 2888,6976, 2896,11072, + 2904,15168, 2912,19264, 2920,23360, 2928,27456, 2936,31552, 2944,3392, + 2952,7488, 2960,11584, 2968,15680, 2976,19776, 2984,23872, 2992,27968, + 3000,32064, 3008,3904, 3016,8000, 3024,12096, 3032,16192, 3040,20288, + 3048,24384, 3056,28480, 3064,32576, 3080,4480, 3088,8576, 3096,12672, + 3104,16768, 3112,20864, 3120,24960, 3128,29056, 3144,4992, 3152,9088, + 3160,13184, 3168,17280, 3176,21376, 3184,25472, 3192,29568, 3208,5504, + 3216,9600, 3224,13696, 3232,17792, 3240,21888, 3248,25984, 3256,30080, + 3272,6016, 3280,10112, 3288,14208, 3296,18304, 3304,22400, 3312,26496, + 3320,30592, 3336,6528, 3344,10624, 3352,14720, 3360,18816, 3368,22912, + 3376,27008, 3384,31104, 3400,7040, 3408,11136, 3416,15232, 3424,19328, + 3432,23424, 3440,27520, 3448,31616, 3464,7552, 3472,11648, 3480,15744, + 3488,19840, 3496,23936, 3504,28032, 3512,32128, 3520,3968, 3528,8064, + 3536,12160, 3544,16256, 3552,20352, 3560,24448, 3568,28544, 3576,32640, + 3592,4544, 3600,8640, 3608,12736, 3616,16832, 3624,20928, 3632,25024, + 3640,29120, 3656,5056, 3664,9152, 3672,13248, 3680,17344, 3688,21440, + 3696,25536, 3704,29632, 3720,5568, 3728,9664, 3736,13760, 3744,17856, + 3752,21952, 3760,26048, 3768,30144, 3784,6080, 3792,10176, 3800,14272, + 3808,18368, 3816,22464, 3824,26560, 3832,30656, 3848,6592, 3856,10688, + 3864,14784, 3872,18880, 3880,22976, 3888,27072, 3896,31168, 3912,7104, + 3920,11200, 3928,15296, 3936,19392, 3944,23488, 3952,27584, 3960,31680, + 3976,7616, 3984,11712, 3992,15808, 4000,19904, 4008,24000, 4016,28096, + 4024,32192, 4040,8128, 4048,12224, 4056,16320, 4064,20416, 4072,24512, + 4080,28608, 4088,32704, 4112,8200, 4120,12296, 4128,16392, 4136,20488, + 4144,24584, 4152,28680, 4168,4616, 4176,8712, 4184,12808, 4192,16904, + 4200,21000, 4208,25096, 4216,29192, 4232,5128, 4240,9224, 4248,13320, + 4256,17416, 4264,21512, 4272,25608, 4280,29704, 4296,5640, 4304,9736, + 4312,13832, 4320,17928, 4328,22024, 4336,26120, 4344,30216, 4360,6152, + 4368,10248, 4376,14344, 4384,18440, 4392,22536, 4400,26632, 4408,30728, + 4424,6664, 4432,10760, 4440,14856, 4448,18952, 4456,23048, 4464,27144, + 4472,31240, 4488,7176, 4496,11272, 4504,15368, 4512,19464, 4520,23560, + 4528,27656, 4536,31752, 4552,7688, 4560,11784, 4568,15880, 4576,19976, + 4584,24072, 4592,28168, 4600,32264, 4624,8264, 4632,12360, 4640,16456, + 4648,20552, 4656,24648, 4664,28744, 4688,8776, 4696,12872, 4704,16968, + 4712,21064, 4720,25160, 4728,29256, 4744,5192, 4752,9288, 4760,13384, + 4768,17480, 4776,21576, 4784,25672, 4792,29768, 4808,5704, 4816,9800, + 4824,13896, 4832,17992, 4840,22088, 4848,26184, 4856,30280, 4872,6216, + 4880,10312, 4888,14408, 4896,18504, 4904,22600, 4912,26696, 4920,30792, + 4936,6728, 4944,10824, 4952,14920, 4960,19016, 4968,23112, 4976,27208, + 4984,31304, 5000,7240, 5008,11336, 5016,15432, 5024,19528, 5032,23624, + 5040,27720, 5048,31816, 5064,7752, 5072,11848, 5080,15944, 5088,20040, + 5096,24136, 5104,28232, 5112,32328, 5136,8328, 5144,12424, 5152,16520, + 5160,20616, 5168,24712, 5176,28808, 5200,8840, 5208,12936, 5216,17032, + 5224,21128, 5232,25224, 5240,29320, 5264,9352, 5272,13448, 5280,17544, + 5288,21640, 5296,25736, 5304,29832, 5320,5768, 5328,9864, 5336,13960, + 5344,18056, 5352,22152, 5360,26248, 5368,30344, 5384,6280, 5392,10376, + 5400,14472, 5408,18568, 5416,22664, 5424,26760, 5432,30856, 5448,6792, + 5456,10888, 5464,14984, 5472,19080, 5480,23176, 5488,27272, 5496,31368, + 5512,7304, 5520,11400, 5528,15496, 5536,19592, 5544,23688, 5552,27784, + 5560,31880, 5576,7816, 5584,11912, 5592,16008, 5600,20104, 5608,24200, + 5616,28296, 5624,32392, 5648,8392, 5656,12488, 5664,16584, 5672,20680, + 5680,24776, 5688,28872, 5712,8904, 5720,13000, 5728,17096, 5736,21192, + 5744,25288, 5752,29384, 5776,9416, 5784,13512, 5792,17608, 5800,21704, + 5808,25800, 5816,29896, 5840,9928, 5848,14024, 5856,18120, 5864,22216, + 5872,26312, 5880,30408, 5896,6344, 5904,10440, 5912,14536, 5920,18632, + 5928,22728, 5936,26824, 5944,30920, 5960,6856, 5968,10952, 5976,15048, + 5984,19144, 5992,23240, 6000,27336, 6008,31432, 6024,7368, 6032,11464, + 6040,15560, 6048,19656, 6056,23752, 6064,27848, 6072,31944, 6088,7880, + 6096,11976, 6104,16072, 6112,20168, 6120,24264, 6128,28360, 6136,32456, + 6160,8456, 6168,12552, 6176,16648, 6184,20744, 6192,24840, 6200,28936, + 6224,8968, 6232,13064, 6240,17160, 6248,21256, 6256,25352, 6264,29448, + 6288,9480, 6296,13576, 6304,17672, 6312,21768, 6320,25864, 6328,29960, + 6352,9992, 6360,14088, 6368,18184, 6376,22280, 6384,26376, 6392,30472, + 6416,10504, 6424,14600, 6432,18696, 6440,22792, 6448,26888, 6456,30984, + 6472,6920, 6480,11016, 6488,15112, 6496,19208, 6504,23304, 6512,27400, + 6520,31496, 6536,7432, 6544,11528, 6552,15624, 6560,19720, 6568,23816, + 6576,27912, 6584,32008, 6600,7944, 6608,12040, 6616,16136, 6624,20232, + 6632,24328, 6640,28424, 6648,32520, 6672,8520, 6680,12616, 6688,16712, + 6696,20808, 6704,24904, 6712,29000, 6736,9032, 6744,13128, 6752,17224, + 6760,21320, 6768,25416, 6776,29512, 6800,9544, 6808,13640, 6816,17736, + 6824,21832, 6832,25928, 6840,30024, 6864,10056, 6872,14152, 6880,18248, + 6888,22344, 6896,26440, 6904,30536, 6928,10568, 6936,14664, 6944,18760, + 6952,22856, 6960,26952, 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24888,30768, + 24944,27184, 24952,31280, 25008,27696, 25016,31792, 25072,28208, + 25080,32304, 25144,28784, 25208,29296, 25264,25712, 25272,29808, + 25328,26224, 25336,30320, 25392,26736, 25400,30832, 25456,27248, + 25464,31344, 25520,27760, 25528,31856, 25584,28272, 25592,32368, + 25656,28848, 25720,29360, 25784,29872, 25840,26288, 25848,30384, + 25904,26800, 25912,30896, 25968,27312, 25976,31408, 26032,27824, + 26040,31920, 26096,28336, 26104,32432, 26168,28912, 26232,29424, + 26296,29936, 26360,30448, 26416,26864, 26424,30960, 26480,27376, + 26488,31472, 26544,27888, 26552,31984, 26608,28400, 26616,32496, + 26680,28976, 26744,29488, 26808,30000, 26872,30512, 26936,31024, + 26992,27440, 27000,31536, 27056,27952, 27064,32048, 27120,28464, + 27128,32560, 27192,29040, 27256,29552, 27320,30064, 27384,30576, + 27448,31088, 27512,31600, 27568,28016, 27576,32112, 27632,28528, + 27640,32624, 27704,29104, 27768,29616, 27832,30128, 27896,30640, + 27960,31152, 28024,31664, 28088,32176, 28144,28592, 28152,32688, + 28216,29168, 28280,29680, 28344,30192, 28408,30704, 28472,31216, + 28536,31728, 28600,32240, 28664,32752, 28792,29240, 28856,29752, + 28920,30264, 28984,30776, 29048,31288, 29112,31800, 29176,32312, + 29368,29816, 29432,30328, 29496,30840, 29560,31352, 29624,31864, + 29688,32376, 29944,30392, 30008,30904, 30072,31416, 30136,31928, + 30200,32440, 30520,30968, 30584,31480, 30648,31992, 30712,32504, + 31096,31544, 31160,32056, 31224,32568, 31672,32120, 31736,32632, + 32248,32696 +}; + + +const uint16_t armBitRevIndexTable_fixed_16[ARMBITREVINDEXTABLE_FIXED___16_TABLE_LENGTH] = +{ + //radix 4, size 12 + 8,64, 16,32, 24,96, 40,80, 56,112, 88,104 +}; + +const uint16_t armBitRevIndexTable_fixed_32[ARMBITREVINDEXTABLE_FIXED___32_TABLE_LENGTH] = +{ + //4x2, size 24 + 8,128, 16,64, 24,192, 40,160, 48,96, 56,224, 72,144, + 88,208, 104,176, 120,240, 152,200, 184,232 +}; + +const uint16_t armBitRevIndexTable_fixed_64[ARMBITREVINDEXTABLE_FIXED___64_TABLE_LENGTH] = +{ + //radix 4, size 56 + 8,256, 16,128, 24,384, 32,64, 40,320, 48,192, 56,448, 72,288, 80,160, 88,416, 104,352, + 112,224, 120,480, 136,272, 152,400, 168,336, 176,208, 184,464, 200,304, 216,432, + 232,368, 248,496, 280,392, 296,328, 312,456, 344,424, 376,488, 440,472 +}; + +const uint16_t armBitRevIndexTable_fixed_128[ARMBITREVINDEXTABLE_FIXED__128_TABLE_LENGTH] = +{ + //4x2, size 112 + 8,512, 16,256, 24,768, 32,128, 40,640, 48,384, 56,896, 72,576, 80,320, 88,832, 96,192, + 104,704, 112,448, 120,960, 136,544, 144,288, 152,800, 168,672, 176,416, 184,928, 200,608, + 208,352, 216,864, 232,736, 240,480, 248,992, 264,528, 280,784, 296,656, 304,400, 312,912, + 328,592, 344,848, 360,720, 368,464, 376,976, 392,560, 408,816, 424,688, 440,944, 456,624, + 472,880, 488,752, 504,1008, 536,776, 552,648, 568,904, 600,840, 616,712, 632,968, + 664,808, 696,936, 728,872, 760,1000, 824,920, 888,984 +}; + +const uint16_t armBitRevIndexTable_fixed_256[ARMBITREVINDEXTABLE_FIXED__256_TABLE_LENGTH] = +{ + //radix 4, size 240 + 8,1024, 16,512, 24,1536, 32,256, 40,1280, 48,768, 56,1792, 64,128, 72,1152, 80,640, + 88,1664, 96,384, 104,1408, 112,896, 120,1920, 136,1088, 144,576, 152,1600, 160,320, + 168,1344, 176,832, 184,1856, 200,1216, 208,704, 216,1728, 224,448, 232,1472, 240,960, + 248,1984, 264,1056, 272,544, 280,1568, 296,1312, 304,800, 312,1824, 328,1184, 336,672, + 344,1696, 352,416, 360,1440, 368,928, 376,1952, 392,1120, 400,608, 408,1632, 424,1376, + 432,864, 440,1888, 456,1248, 464,736, 472,1760, 488,1504, 496,992, 504,2016, 520,1040, + 536,1552, 552,1296, 560,784, 568,1808, 584,1168, 592,656, 600,1680, 616,1424, 624,912, + 632,1936, 648,1104, 664,1616, 680,1360, 688,848, 696,1872, 712,1232, 728,1744, 744,1488, + 752,976, 760,2000, 776,1072, 792,1584, 808,1328, 824,1840, 840,1200, 856,1712, 872,1456, + 880,944, 888,1968, 904,1136, 920,1648, 936,1392, 952,1904, 968,1264, 984,1776, 1000,1520, + 1016,2032, 1048,1544, 1064,1288, 1080,1800, 1096,1160, 1112,1672, 1128,1416, 1144,1928, + 1176,1608, 1192,1352, 1208,1864, 1240,1736, 1256,1480, 1272,1992, 1304,1576, 1336,1832, + 1368,1704, 1384,1448, 1400,1960, 1432,1640, 1464,1896, 1496,1768, 1528,2024, 1592,1816, + 1624,1688, 1656,1944, 1720,1880, 1784,2008, 1912,1976 +}; + +const uint16_t armBitRevIndexTable_fixed_512[ARMBITREVINDEXTABLE_FIXED__512_TABLE_LENGTH] = +{ + //4x2, size 480 + 8,2048, 16,1024, 24,3072, 32,512, 40,2560, 48,1536, 56,3584, 64,256, 72,2304, 80,1280, + 88,3328, 96,768, 104,2816, 112,1792, 120,3840, 136,2176, 144,1152, 152,3200, 160,640, + 168,2688, 176,1664, 184,3712, 192,384, 200,2432, 208,1408, 216,3456, 224,896, 232,2944, + 240,1920, 248,3968, 264,2112, 272,1088, 280,3136, 288,576, 296,2624, 304,1600, 312,3648, + 328,2368, 336,1344, 344,3392, 352,832, 360,2880, 368,1856, 376,3904, 392,2240, 400,1216, + 408,3264, 416,704, 424,2752, 432,1728, 440,3776, 456,2496, 464,1472, 472,3520, 480,960, + 488,3008, 496,1984, 504,4032, 520,2080, 528,1056, 536,3104, 552,2592, 560,1568, 568,3616, + 584,2336, 592,1312, 600,3360, 608,800, 616,2848, 624,1824, 632,3872, 648,2208, 656,1184, + 664,3232, 680,2720, 688,1696, 696,3744, 712,2464, 720,1440, 728,3488, 736,928, 744,2976, + 752,1952, 760,4000, 776,2144, 784,1120, 792,3168, 808,2656, 816,1632, 824,3680, 840,2400, + 848,1376, 856,3424, 872,2912, 880,1888, 888,3936, 904,2272, 912,1248, 920,3296, 936,2784, + 944,1760, 952,3808, 968,2528, 976,1504, 984,3552, 1000,3040, 1008,2016, 1016,4064, + 1032,2064, 1048,3088, 1064,2576, 1072,1552, 1080,3600, 1096,2320, 1104,1296, 1112,3344, + 1128,2832, 1136,1808, 1144,3856, 1160,2192, 1176,3216, 1192,2704, 1200,1680, 1208,3728, + 1224,2448, 1232,1424, 1240,3472, 1256,2960, 1264,1936, 1272,3984, 1288,2128, 1304,3152, + 1320,2640, 1328,1616, 1336,3664, 1352,2384, 1368,3408, 1384,2896, 1392,1872, 1400,3920, + 1416,2256, 1432,3280, 1448,2768, 1456,1744, 1464,3792, 1480,2512, 1496,3536, 1512,3024, + 1520,2000, 1528,4048, 1544,2096, 1560,3120, 1576,2608, 1592,3632, 1608,2352, 1624,3376, + 1640,2864, 1648,1840, 1656,3888, 1672,2224, 1688,3248, 1704,2736, 1720,3760, 1736,2480, + 1752,3504, 1768,2992, 1776,1968, 1784,4016, 1800,2160, 1816,3184, 1832,2672, 1848,3696, + 1864,2416, 1880,3440, 1896,2928, 1912,3952, 1928,2288, 1944,3312, 1960,2800, 1976,3824, + 1992,2544, 2008,3568, 2024,3056, 2040,4080, 2072,3080, 2088,2568, 2104,3592, 2120,2312, + 2136,3336, 2152,2824, 2168,3848, 2200,3208, 2216,2696, 2232,3720, 2248,2440, 2264,3464, + 2280,2952, 2296,3976, 2328,3144, 2344,2632, 2360,3656, 2392,3400, 2408,2888, 2424,3912, + 2456,3272, 2472,2760, 2488,3784, 2520,3528, 2536,3016, 2552,4040, 2584,3112, 2616,3624, + 2648,3368, 2664,2856, 2680,3880, 2712,3240, 2744,3752, 2776,3496, 2792,2984, 2808,4008, + 2840,3176, 2872,3688, 2904,3432, 2936,3944, 2968,3304, 3000,3816, 3032,3560, 3064,4072, + 3128,3608, 3160,3352, 3192,3864, 3256,3736, 3288,3480, 3320,3992, 3384,3672, 3448,3928, + 3512,3800, 3576,4056, 3704,3896, 3832,4024 +}; + +const uint16_t armBitRevIndexTable_fixed_1024[ARMBITREVINDEXTABLE_FIXED_1024_TABLE_LENGTH] = +{ + //radix 4, size 992 + 8,4096, 16,2048, 24,6144, 32,1024, 40,5120, 48,3072, 56,7168, 64,512, 72,4608, + 80,2560, 88,6656, 96,1536, 104,5632, 112,3584, 120,7680, 128,256, 136,4352, + 144,2304, 152,6400, 160,1280, 168,5376, 176,3328, 184,7424, 192,768, 200,4864, + 208,2816, 216,6912, 224,1792, 232,5888, 240,3840, 248,7936, 264,4224, 272,2176, + 280,6272, 288,1152, 296,5248, 304,3200, 312,7296, 320,640, 328,4736, 336,2688, + 344,6784, 352,1664, 360,5760, 368,3712, 376,7808, 392,4480, 400,2432, 408,6528, + 416,1408, 424,5504, 432,3456, 440,7552, 448,896, 456,4992, 464,2944, 472,7040, + 480,1920, 488,6016, 496,3968, 504,8064, 520,4160, 528,2112, 536,6208, 544,1088, + 552,5184, 560,3136, 568,7232, 584,4672, 592,2624, 600,6720, 608,1600, 616,5696, + 624,3648, 632,7744, 648,4416, 656,2368, 664,6464, 672,1344, 680,5440, 688,3392, + 696,7488, 704,832, 712,4928, 720,2880, 728,6976, 736,1856, 744,5952, 752,3904, + 760,8000, 776,4288, 784,2240, 792,6336, 800,1216, 808,5312, 816,3264, 824,7360, + 840,4800, 848,2752, 856,6848, 864,1728, 872,5824, 880,3776, 888,7872, 904,4544, + 912,2496, 920,6592, 928,1472, 936,5568, 944,3520, 952,7616, 968,5056, 976,3008, + 984,7104, 992,1984, 1000,6080, 1008,4032, 1016,8128, 1032,4128, 1040,2080, + 1048,6176, 1064,5152, 1072,3104, 1080,7200, 1096,4640, 1104,2592, 1112,6688, + 1120,1568, 1128,5664, 1136,3616, 1144,7712, 1160,4384, 1168,2336, 1176,6432, + 1184,1312, 1192,5408, 1200,3360, 1208,7456, 1224,4896, 1232,2848, 1240,6944, + 1248,1824, 1256,5920, 1264,3872, 1272,7968, 1288,4256, 1296,2208, 1304,6304, + 1320,5280, 1328,3232, 1336,7328, 1352,4768, 1360,2720, 1368,6816, 1376,1696, + 1384,5792, 1392,3744, 1400,7840, 1416,4512, 1424,2464, 1432,6560, 1448,5536, + 1456,3488, 1464,7584, 1480,5024, 1488,2976, 1496,7072, 1504,1952, 1512,6048, + 1520,4000, 1528,8096, 1544,4192, 1552,2144, 1560,6240, 1576,5216, 1584,3168, + 1592,7264, 1608,4704, 1616,2656, 1624,6752, 1640,5728, 1648,3680, 1656,7776, + 1672,4448, 1680,2400, 1688,6496, 1704,5472, 1712,3424, 1720,7520, 1736,4960, + 1744,2912, 1752,7008, 1760,1888, 1768,5984, 1776,3936, 1784,8032, 1800,4320, + 1808,2272, 1816,6368, 1832,5344, 1840,3296, 1848,7392, 1864,4832, 1872,2784, + 1880,6880, 1896,5856, 1904,3808, 1912,7904, 1928,4576, 1936,2528, 1944,6624, + 1960,5600, 1968,3552, 1976,7648, 1992,5088, 2000,3040, 2008,7136, 2024,6112, + 2032,4064, 2040,8160, 2056,4112, 2072,6160, 2088,5136, 2096,3088, 2104,7184, + 2120,4624, 2128,2576, 2136,6672, 2152,5648, 2160,3600, 2168,7696, 2184,4368, + 2192,2320, 2200,6416, 2216,5392, 2224,3344, 2232,7440, 2248,4880, 2256,2832, + 2264,6928, 2280,5904, 2288,3856, 2296,7952, 2312,4240, 2328,6288, 2344,5264, + 2352,3216, 2360,7312, 2376,4752, 2384,2704, 2392,6800, 2408,5776, 2416,3728, + 2424,7824, 2440,4496, 2456,6544, 2472,5520, 2480,3472, 2488,7568, 2504,5008, + 2512,2960, 2520,7056, 2536,6032, 2544,3984, 2552,8080, 2568,4176, 2584,6224, + 2600,5200, 2608,3152, 2616,7248, 2632,4688, 2648,6736, 2664,5712, 2672,3664, + 2680,7760, 2696,4432, 2712,6480, 2728,5456, 2736,3408, 2744,7504, 2760,4944, + 2768,2896, 2776,6992, 2792,5968, 2800,3920, 2808,8016, 2824,4304, 2840,6352, + 2856,5328, 2864,3280, 2872,7376, 2888,4816, 2904,6864, 2920,5840, 2928,3792, + 2936,7888, 2952,4560, 2968,6608, 2984,5584, 2992,3536, 3000,7632, 3016,5072, + 3032,7120, 3048,6096, 3056,4048, 3064,8144, 3080,4144, 3096,6192, 3112,5168, + 3128,7216, 3144,4656, 3160,6704, 3176,5680, 3184,3632, 3192,7728, 3208,4400, + 3224,6448, 3240,5424, 3248,3376, 3256,7472, 3272,4912, 3288,6960, 3304,5936, + 3312,3888, 3320,7984, 3336,4272, 3352,6320, 3368,5296, 3384,7344, 3400,4784, + 3416,6832, 3432,5808, 3440,3760, 3448,7856, 3464,4528, 3480,6576, 3496,5552, + 3512,7600, 3528,5040, 3544,7088, 3560,6064, 3568,4016, 3576,8112, 3592,4208, + 3608,6256, 3624,5232, 3640,7280, 3656,4720, 3672,6768, 3688,5744, 3704,7792, + 3720,4464, 3736,6512, 3752,5488, 3768,7536, 3784,4976, 3800,7024, 3816,6000, + 3824,3952, 3832,8048, 3848,4336, 3864,6384, 3880,5360, 3896,7408, 3912,4848, + 3928,6896, 3944,5872, 3960,7920, 3976,4592, 3992,6640, 4008,5616, 4024,7664, + 4040,5104, 4056,7152, 4072,6128, 4088,8176, 4120,6152, 4136,5128, 4152,7176, + 4168,4616, 4184,6664, 4200,5640, 4216,7688, 4232,4360, 4248,6408, 4264,5384, + 4280,7432, 4296,4872, 4312,6920, 4328,5896, 4344,7944, 4376,6280, 4392,5256, + 4408,7304, 4424,4744, 4440,6792, 4456,5768, 4472,7816, 4504,6536, 4520,5512, + 4536,7560, 4552,5000, 4568,7048, 4584,6024, 4600,8072, 4632,6216, 4648,5192, + 4664,7240, 4696,6728, 4712,5704, 4728,7752, 4760,6472, 4776,5448, 4792,7496, + 4808,4936, 4824,6984, 4840,5960, 4856,8008, 4888,6344, 4904,5320, 4920,7368, + 4952,6856, 4968,5832, 4984,7880, 5016,6600, 5032,5576, 5048,7624, 5080,7112, + 5096,6088, 5112,8136, 5144,6184, 5176,7208, 5208,6696, 5224,5672, 5240,7720, + 5272,6440, 5288,5416, 5304,7464, 5336,6952, 5352,5928, 5368,7976, 5400,6312, + 5432,7336, 5464,6824, 5480,5800, 5496,7848, 5528,6568, 5560,7592, 5592,7080, + 5608,6056, 5624,8104, 5656,6248, 5688,7272, 5720,6760, 5752,7784, 5784,6504, + 5816,7528, 5848,7016, 5864,5992, 5880,8040, 5912,6376, 5944,7400, 5976,6888, + 6008,7912, 6040,6632, 6072,7656, 6104,7144, 6136,8168, 6200,7192, 6232,6680, + 6264,7704, 6296,6424, 6328,7448, 6360,6936, 6392,7960, 6456,7320, 6488,6808, + 6520,7832, 6584,7576, 6616,7064, 6648,8088, 6712,7256, 6776,7768, 6840,7512, + 6872,7000, 6904,8024, 6968,7384, 7032,7896, 7096,7640, 7160,8152, 7288,7736, + 7352,7480, 7416,7992, 7544,7864, 7672,8120, 7928,8056 +}; + +const uint16_t armBitRevIndexTable_fixed_2048[ARMBITREVINDEXTABLE_FIXED_2048_TABLE_LENGTH] = +{ + //4x2, size 1984 + 8,8192, 16,4096, 24,12288, 32,2048, 40,10240, 48,6144, 56,14336, 64,1024, + 72,9216, 80,5120, 88,13312, 96,3072, 104,11264, 112,7168, 120,15360, 128,512, + 136,8704, 144,4608, 152,12800, 160,2560, 168,10752, 176,6656, 184,14848, + 192,1536, 200,9728, 208,5632, 216,13824, 224,3584, 232,11776, 240,7680, + 248,15872, 264,8448, 272,4352, 280,12544, 288,2304, 296,10496, 304,6400, + 312,14592, 320,1280, 328,9472, 336,5376, 344,13568, 352,3328, 360,11520, + 368,7424, 376,15616, 384,768, 392,8960, 400,4864, 408,13056, 416,2816, + 424,11008, 432,6912, 440,15104, 448,1792, 456,9984, 464,5888, 472,14080, + 480,3840, 488,12032, 496,7936, 504,16128, 520,8320, 528,4224, 536,12416, + 544,2176, 552,10368, 560,6272, 568,14464, 576,1152, 584,9344, 592,5248, + 600,13440, 608,3200, 616,11392, 624,7296, 632,15488, 648,8832, 656,4736, + 664,12928, 672,2688, 680,10880, 688,6784, 696,14976, 704,1664, 712,9856, + 720,5760, 728,13952, 736,3712, 744,11904, 752,7808, 760,16000, 776,8576, + 784,4480, 792,12672, 800,2432, 808,10624, 816,6528, 824,14720, 832,1408, + 840,9600, 848,5504, 856,13696, 864,3456, 872,11648, 880,7552, 888,15744, + 904,9088, 912,4992, 920,13184, 928,2944, 936,11136, 944,7040, 952,15232, + 960,1920, 968,10112, 976,6016, 984,14208, 992,3968, 1000,12160, 1008,8064, + 1016,16256, 1032,8256, 1040,4160, 1048,12352, 1056,2112, 1064,10304, 1072,6208, + 1080,14400, 1096,9280, 1104,5184, 1112,13376, 1120,3136, 1128,11328, 1136,7232, + 1144,15424, 1160,8768, 1168,4672, 1176,12864, 1184,2624, 1192,10816, 1200,6720, + 1208,14912, 1216,1600, 1224,9792, 1232,5696, 1240,13888, 1248,3648, 1256,11840, + 1264,7744, 1272,15936, 1288,8512, 1296,4416, 1304,12608, 1312,2368, 1320,10560, + 1328,6464, 1336,14656, 1352,9536, 1360,5440, 1368,13632, 1376,3392, 1384,11584, + 1392,7488, 1400,15680, 1416,9024, 1424,4928, 1432,13120, 1440,2880, 1448,11072, + 1456,6976, 1464,15168, 1472,1856, 1480,10048, 1488,5952, 1496,14144, 1504,3904, + 1512,12096, 1520,8000, 1528,16192, 1544,8384, 1552,4288, 1560,12480, 1568,2240, + 1576,10432, 1584,6336, 1592,14528, 1608,9408, 1616,5312, 1624,13504, 1632,3264, + 1640,11456, 1648,7360, 1656,15552, 1672,8896, 1680,4800, 1688,12992, 1696,2752, + 1704,10944, 1712,6848, 1720,15040, 1736,9920, 1744,5824, 1752,14016, 1760,3776, + 1768,11968, 1776,7872, 1784,16064, 1800,8640, 1808,4544, 1816,12736, 1824,2496, + 1832,10688, 1840,6592, 1848,14784, 1864,9664, 1872,5568, 1880,13760, 1888,3520, + 1896,11712, 1904,7616, 1912,15808, 1928,9152, 1936,5056, 1944,13248, 1952,3008, + 1960,11200, 1968,7104, 1976,15296, 1992,10176, 2000,6080, 2008,14272, 2016,4032, + 2024,12224, 2032,8128, 2040,16320, 2056,8224, 2064,4128, 2072,12320, 2088,10272, + 2096,6176, 2104,14368, 2120,9248, 2128,5152, 2136,13344, 2144,3104, 2152,11296, + 2160,7200, 2168,15392, 2184,8736, 2192,4640, 2200,12832, 2208,2592, 2216,10784, + 2224,6688, 2232,14880, 2248,9760, 2256,5664, 2264,13856, 2272,3616, 2280,11808, + 2288,7712, 2296,15904, 2312,8480, 2320,4384, 2328,12576, 2344,10528, 2352,6432, + 2360,14624, 2376,9504, 2384,5408, 2392,13600, 2400,3360, 2408,11552, 2416,7456, + 2424,15648, 2440,8992, 2448,4896, 2456,13088, 2464,2848, 2472,11040, 2480,6944, + 2488,15136, 2504,10016, 2512,5920, 2520,14112, 2528,3872, 2536,12064, 2544,7968, + 2552,16160, 2568,8352, 2576,4256, 2584,12448, 2600,10400, 2608,6304, 2616,14496, + 2632,9376, 2640,5280, 2648,13472, 2656,3232, 2664,11424, 2672,7328, 2680,15520, + 2696,8864, 2704,4768, 2712,12960, 2728,10912, 2736,6816, 2744,15008, 2760,9888, + 2768,5792, 2776,13984, 2784,3744, 2792,11936, 2800,7840, 2808,16032, 2824,8608, + 2832,4512, 2840,12704, 2856,10656, 2864,6560, 2872,14752, 2888,9632, 2896,5536, + 2904,13728, 2912,3488, 2920,11680, 2928,7584, 2936,15776, 2952,9120, 2960,5024, + 2968,13216, 2984,11168, 2992,7072, 3000,15264, 3016,10144, 3024,6048, + 3032,14240, 3040,4000, 3048,12192, 3056,8096, 3064,16288, 3080,8288, 3088,4192, + 3096,12384, 3112,10336, 3120,6240, 3128,14432, 3144,9312, 3152,5216, 3160,13408, + 3176,11360, 3184,7264, 3192,15456, 3208,8800, 3216,4704, 3224,12896, 3240,10848, + 3248,6752, 3256,14944, 3272,9824, 3280,5728, 3288,13920, 3296,3680, 3304,11872, + 3312,7776, 3320,15968, 3336,8544, 3344,4448, 3352,12640, 3368,10592, 3376,6496, + 3384,14688, 3400,9568, 3408,5472, 3416,13664, 3432,11616, 3440,7520, 3448,15712, + 3464,9056, 3472,4960, 3480,13152, 3496,11104, 3504,7008, 3512,15200, 3528,10080, + 3536,5984, 3544,14176, 3552,3936, 3560,12128, 3568,8032, 3576,16224, 3592,8416, + 3600,4320, 3608,12512, 3624,10464, 3632,6368, 3640,14560, 3656,9440, 3664,5344, + 3672,13536, 3688,11488, 3696,7392, 3704,15584, 3720,8928, 3728,4832, 3736,13024, + 3752,10976, 3760,6880, 3768,15072, 3784,9952, 3792,5856, 3800,14048, 3816,12000, + 3824,7904, 3832,16096, 3848,8672, 3856,4576, 3864,12768, 3880,10720, 3888,6624, + 3896,14816, 3912,9696, 3920,5600, 3928,13792, 3944,11744, 3952,7648, 3960,15840, + 3976,9184, 3984,5088, 3992,13280, 4008,11232, 4016,7136, 4024,15328, 4040,10208, + 4048,6112, 4056,14304, 4072,12256, 4080,8160, 4088,16352, 4104,8208, 4120,12304, + 4136,10256, 4144,6160, 4152,14352, 4168,9232, 4176,5136, 4184,13328, 4200,11280, + 4208,7184, 4216,15376, 4232,8720, 4240,4624, 4248,12816, 4264,10768, 4272,6672, + 4280,14864, 4296,9744, 4304,5648, 4312,13840, 4328,11792, 4336,7696, 4344,15888, + 4360,8464, 4376,12560, 4392,10512, 4400,6416, 4408,14608, 4424,9488, 4432,5392, + 4440,13584, 4456,11536, 4464,7440, 4472,15632, 4488,8976, 4496,4880, 4504,13072, + 4520,11024, 4528,6928, 4536,15120, 4552,10000, 4560,5904, 4568,14096, + 4584,12048, 4592,7952, 4600,16144, 4616,8336, 4632,12432, 4648,10384, 4656,6288, + 4664,14480, 4680,9360, 4688,5264, 4696,13456, 4712,11408, 4720,7312, 4728,15504, + 4744,8848, 4760,12944, 4776,10896, 4784,6800, 4792,14992, 4808,9872, 4816,5776, + 4824,13968, 4840,11920, 4848,7824, 4856,16016, 4872,8592, 4888,12688, + 4904,10640, 4912,6544, 4920,14736, 4936,9616, 4944,5520, 4952,13712, 4968,11664, + 4976,7568, 4984,15760, 5000,9104, 5016,13200, 5032,11152, 5040,7056, 5048,15248, + 5064,10128, 5072,6032, 5080,14224, 5096,12176, 5104,8080, 5112,16272, 5128,8272, + 5144,12368, 5160,10320, 5168,6224, 5176,14416, 5192,9296, 5208,13392, + 5224,11344, 5232,7248, 5240,15440, 5256,8784, 5272,12880, 5288,10832, 5296,6736, + 5304,14928, 5320,9808, 5328,5712, 5336,13904, 5352,11856, 5360,7760, 5368,15952, + 5384,8528, 5400,12624, 5416,10576, 5424,6480, 5432,14672, 5448,9552, 5464,13648, + 5480,11600, 5488,7504, 5496,15696, 5512,9040, 5528,13136, 5544,11088, 5552,6992, + 5560,15184, 5576,10064, 5584,5968, 5592,14160, 5608,12112, 5616,8016, + 5624,16208, 5640,8400, 5656,12496, 5672,10448, 5680,6352, 5688,14544, 5704,9424, + 5720,13520, 5736,11472, 5744,7376, 5752,15568, 5768,8912, 5784,13008, + 5800,10960, 5808,6864, 5816,15056, 5832,9936, 5848,14032, 5864,11984, 5872,7888, + 5880,16080, 5896,8656, 5912,12752, 5928,10704, 5936,6608, 5944,14800, 5960,9680, + 5976,13776, 5992,11728, 6000,7632, 6008,15824, 6024,9168, 6040,13264, + 6056,11216, 6064,7120, 6072,15312, 6088,10192, 6104,14288, 6120,12240, + 6128,8144, 6136,16336, 6152,8240, 6168,12336, 6184,10288, 6200,14384, 6216,9264, + 6232,13360, 6248,11312, 6256,7216, 6264,15408, 6280,8752, 6296,12848, + 6312,10800, 6320,6704, 6328,14896, 6344,9776, 6360,13872, 6376,11824, 6384,7728, + 6392,15920, 6408,8496, 6424,12592, 6440,10544, 6456,14640, 6472,9520, + 6488,13616, 6504,11568, 6512,7472, 6520,15664, 6536,9008, 6552,13104, + 6568,11056, 6576,6960, 6584,15152, 6600,10032, 6616,14128, 6632,12080, + 6640,7984, 6648,16176, 6664,8368, 6680,12464, 6696,10416, 6712,14512, 6728,9392, + 6744,13488, 6760,11440, 6768,7344, 6776,15536, 6792,8880, 6808,12976, + 6824,10928, 6840,15024, 6856,9904, 6872,14000, 6888,11952, 6896,7856, + 6904,16048, 6920,8624, 6936,12720, 6952,10672, 6968,14768, 6984,9648, + 7000,13744, 7016,11696, 7024,7600, 7032,15792, 7048,9136, 7064,13232, + 7080,11184, 7096,15280, 7112,10160, 7128,14256, 7144,12208, 7152,8112, + 7160,16304, 7176,8304, 7192,12400, 7208,10352, 7224,14448, 7240,9328, + 7256,13424, 7272,11376, 7288,15472, 7304,8816, 7320,12912, 7336,10864, + 7352,14960, 7368,9840, 7384,13936, 7400,11888, 7408,7792, 7416,15984, 7432,8560, + 7448,12656, 7464,10608, 7480,14704, 7496,9584, 7512,13680, 7528,11632, + 7544,15728, 7560,9072, 7576,13168, 7592,11120, 7608,15216, 7624,10096, + 7640,14192, 7656,12144, 7664,8048, 7672,16240, 7688,8432, 7704,12528, + 7720,10480, 7736,14576, 7752,9456, 7768,13552, 7784,11504, 7800,15600, + 7816,8944, 7832,13040, 7848,10992, 7864,15088, 7880,9968, 7896,14064, + 7912,12016, 7928,16112, 7944,8688, 7960,12784, 7976,10736, 7992,14832, + 8008,9712, 8024,13808, 8040,11760, 8056,15856, 8072,9200, 8088,13296, + 8104,11248, 8120,15344, 8136,10224, 8152,14320, 8168,12272, 8184,16368, + 8216,12296, 8232,10248, 8248,14344, 8264,9224, 8280,13320, 8296,11272, + 8312,15368, 8328,8712, 8344,12808, 8360,10760, 8376,14856, 8392,9736, + 8408,13832, 8424,11784, 8440,15880, 8472,12552, 8488,10504, 8504,14600, + 8520,9480, 8536,13576, 8552,11528, 8568,15624, 8584,8968, 8600,13064, + 8616,11016, 8632,15112, 8648,9992, 8664,14088, 8680,12040, 8696,16136, + 8728,12424, 8744,10376, 8760,14472, 8776,9352, 8792,13448, 8808,11400, + 8824,15496, 8856,12936, 8872,10888, 8888,14984, 8904,9864, 8920,13960, + 8936,11912, 8952,16008, 8984,12680, 9000,10632, 9016,14728, 9032,9608, + 9048,13704, 9064,11656, 9080,15752, 9112,13192, 9128,11144, 9144,15240, + 9160,10120, 9176,14216, 9192,12168, 9208,16264, 9240,12360, 9256,10312, + 9272,14408, 9304,13384, 9320,11336, 9336,15432, 9368,12872, 9384,10824, + 9400,14920, 9416,9800, 9432,13896, 9448,11848, 9464,15944, 9496,12616, + 9512,10568, 9528,14664, 9560,13640, 9576,11592, 9592,15688, 9624,13128, + 9640,11080, 9656,15176, 9672,10056, 9688,14152, 9704,12104, 9720,16200, + 9752,12488, 9768,10440, 9784,14536, 9816,13512, 9832,11464, 9848,15560, + 9880,13000, 9896,10952, 9912,15048, 9944,14024, 9960,11976, 9976,16072, + 10008,12744, 10024,10696, 10040,14792, 10072,13768, 10088,11720, 10104,15816, + 10136,13256, 10152,11208, 10168,15304, 10200,14280, 10216,12232, 10232,16328, + 10264,12328, 10296,14376, 10328,13352, 10344,11304, 10360,15400, 10392,12840, + 10408,10792, 10424,14888, 10456,13864, 10472,11816, 10488,15912, 10520,12584, + 10552,14632, 10584,13608, 10600,11560, 10616,15656, 10648,13096, 10664,11048, + 10680,15144, 10712,14120, 10728,12072, 10744,16168, 10776,12456, 10808,14504, + 10840,13480, 10856,11432, 10872,15528, 10904,12968, 10936,15016, 10968,13992, + 10984,11944, 11000,16040, 11032,12712, 11064,14760, 11096,13736, 11112,11688, + 11128,15784, 11160,13224, 11192,15272, 11224,14248, 11240,12200, 11256,16296, + 11288,12392, 11320,14440, 11352,13416, 11384,15464, 11416,12904, 11448,14952, + 11480,13928, 11496,11880, 11512,15976, 11544,12648, 11576,14696, 11608,13672, + 11640,15720, 11672,13160, 11704,15208, 11736,14184, 11752,12136, 11768,16232, + 11800,12520, 11832,14568, 11864,13544, 11896,15592, 11928,13032, 11960,15080, + 11992,14056, 12024,16104, 12056,12776, 12088,14824, 12120,13800, 12152,15848, + 12184,13288, 12216,15336, 12248,14312, 12280,16360, 12344,14360, 12376,13336, + 12408,15384, 12440,12824, 12472,14872, 12504,13848, 12536,15896, 12600,14616, + 12632,13592, 12664,15640, 12696,13080, 12728,15128, 12760,14104, 12792,16152, + 12856,14488, 12888,13464, 12920,15512, 12984,15000, 13016,13976, 13048,16024, + 13112,14744, 13144,13720, 13176,15768, 13240,15256, 13272,14232, 13304,16280, + 13368,14424, 13432,15448, 13496,14936, 13528,13912, 13560,15960, 13624,14680, + 13688,15704, 13752,15192, 13784,14168, 13816,16216, 13880,14552, 13944,15576, + 14008,15064, 14072,16088, 14136,14808, 14200,15832, 14264,15320, 14328,16344, + 14456,15416, 14520,14904, 14584,15928, 14712,15672, 14776,15160, 14840,16184, + 14968,15544, 15096,16056, 15224,15800, 15352,16312, 15608,15992, 15864,16248 +}; + +const uint16_t armBitRevIndexTable_fixed_4096[ARMBITREVINDEXTABLE_FIXED_4096_TABLE_LENGTH] = +{ + //radix 4, size 4032 + 8,16384, 16,8192, 24,24576, 32,4096, 40,20480, 48,12288, 56,28672, 64,2048, + 72,18432, 80,10240, 88,26624, 96,6144, 104,22528, 112,14336, 120,30720, + 128,1024, 136,17408, 144,9216, 152,25600, 160,5120, 168,21504, 176,13312, + 184,29696, 192,3072, 200,19456, 208,11264, 216,27648, 224,7168, 232,23552, + 240,15360, 248,31744, 256,512, 264,16896, 272,8704, 280,25088, 288,4608, + 296,20992, 304,12800, 312,29184, 320,2560, 328,18944, 336,10752, 344,27136, + 352,6656, 360,23040, 368,14848, 376,31232, 384,1536, 392,17920, 400,9728, + 408,26112, 416,5632, 424,22016, 432,13824, 440,30208, 448,3584, 456,19968, + 464,11776, 472,28160, 480,7680, 488,24064, 496,15872, 504,32256, 520,16640, + 528,8448, 536,24832, 544,4352, 552,20736, 560,12544, 568,28928, 576,2304, + 584,18688, 592,10496, 600,26880, 608,6400, 616,22784, 624,14592, 632,30976, + 640,1280, 648,17664, 656,9472, 664,25856, 672,5376, 680,21760, 688,13568, + 696,29952, 704,3328, 712,19712, 720,11520, 728,27904, 736,7424, 744,23808, + 752,15616, 760,32000, 776,17152, 784,8960, 792,25344, 800,4864, 808,21248, + 816,13056, 824,29440, 832,2816, 840,19200, 848,11008, 856,27392, 864,6912, + 872,23296, 880,15104, 888,31488, 896,1792, 904,18176, 912,9984, 920,26368, + 928,5888, 936,22272, 944,14080, 952,30464, 960,3840, 968,20224, 976,12032, + 984,28416, 992,7936, 1000,24320, 1008,16128, 1016,32512, 1032,16512, 1040,8320, + 1048,24704, 1056,4224, 1064,20608, 1072,12416, 1080,28800, 1088,2176, + 1096,18560, 1104,10368, 1112,26752, 1120,6272, 1128,22656, 1136,14464, + 1144,30848, 1160,17536, 1168,9344, 1176,25728, 1184,5248, 1192,21632, + 1200,13440, 1208,29824, 1216,3200, 1224,19584, 1232,11392, 1240,27776, + 1248,7296, 1256,23680, 1264,15488, 1272,31872, 1288,17024, 1296,8832, + 1304,25216, 1312,4736, 1320,21120, 1328,12928, 1336,29312, 1344,2688, + 1352,19072, 1360,10880, 1368,27264, 1376,6784, 1384,23168, 1392,14976, + 1400,31360, 1408,1664, 1416,18048, 1424,9856, 1432,26240, 1440,5760, 1448,22144, + 1456,13952, 1464,30336, 1472,3712, 1480,20096, 1488,11904, 1496,28288, + 1504,7808, 1512,24192, 1520,16000, 1528,32384, 1544,16768, 1552,8576, + 1560,24960, 1568,4480, 1576,20864, 1584,12672, 1592,29056, 1600,2432, + 1608,18816, 1616,10624, 1624,27008, 1632,6528, 1640,22912, 1648,14720, + 1656,31104, 1672,17792, 1680,9600, 1688,25984, 1696,5504, 1704,21888, + 1712,13696, 1720,30080, 1728,3456, 1736,19840, 1744,11648, 1752,28032, + 1760,7552, 1768,23936, 1776,15744, 1784,32128, 1800,17280, 1808,9088, + 1816,25472, 1824,4992, 1832,21376, 1840,13184, 1848,29568, 1856,2944, + 1864,19328, 1872,11136, 1880,27520, 1888,7040, 1896,23424, 1904,15232, + 1912,31616, 1928,18304, 1936,10112, 1944,26496, 1952,6016, 1960,22400, + 1968,14208, 1976,30592, 1984,3968, 1992,20352, 2000,12160, 2008,28544, + 2016,8064, 2024,24448, 2032,16256, 2040,32640, 2056,16448, 2064,8256, + 2072,24640, 2080,4160, 2088,20544, 2096,12352, 2104,28736, 2120,18496, + 2128,10304, 2136,26688, 2144,6208, 2152,22592, 2160,14400, 2168,30784, + 2184,17472, 2192,9280, 2200,25664, 2208,5184, 2216,21568, 2224,13376, + 2232,29760, 2240,3136, 2248,19520, 2256,11328, 2264,27712, 2272,7232, + 2280,23616, 2288,15424, 2296,31808, 2312,16960, 2320,8768, 2328,25152, + 2336,4672, 2344,21056, 2352,12864, 2360,29248, 2368,2624, 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16808,22024, 16824,30216, 16840,19976, 16856,28168, 16872,24072, 16888,32264, + 16920,24840, 16936,20744, 16952,28936, 16968,18696, 16984,26888, 17000,22792, + 17016,30984, 17032,17672, 17048,25864, 17064,21768, 17080,29960, 17096,19720, + 17112,27912, 17128,23816, 17144,32008, 17176,25352, 17192,21256, 17208,29448, + 17224,19208, 17240,27400, 17256,23304, 17272,31496, 17288,18184, 17304,26376, + 17320,22280, 17336,30472, 17352,20232, 17368,28424, 17384,24328, 17400,32520, + 17432,24712, 17448,20616, 17464,28808, 17480,18568, 17496,26760, 17512,22664, + 17528,30856, 17560,25736, 17576,21640, 17592,29832, 17608,19592, 17624,27784, + 17640,23688, 17656,31880, 17688,25224, 17704,21128, 17720,29320, 17736,19080, + 17752,27272, 17768,23176, 17784,31368, 17800,18056, 17816,26248, 17832,22152, + 17848,30344, 17864,20104, 17880,28296, 17896,24200, 17912,32392, 17944,24968, + 17960,20872, 17976,29064, 17992,18824, 18008,27016, 18024,22920, 18040,31112, + 18072,25992, 18088,21896, 18104,30088, 18120,19848, 18136,28040, 18152,23944, + 18168,32136, 18200,25480, 18216,21384, 18232,29576, 18248,19336, 18264,27528, + 18280,23432, 18296,31624, 18328,26504, 18344,22408, 18360,30600, 18376,20360, + 18392,28552, 18408,24456, 18424,32648, 18456,24648, 18472,20552, 18488,28744, + 18520,26696, 18536,22600, 18552,30792, 18584,25672, 18600,21576, 18616,29768, + 18632,19528, 18648,27720, 18664,23624, 18680,31816, 18712,25160, 18728,21064, + 18744,29256, 18760,19016, 18776,27208, 18792,23112, 18808,31304, 18840,26184, + 18856,22088, 18872,30280, 18888,20040, 18904,28232, 18920,24136, 18936,32328, + 18968,24904, 18984,20808, 19000,29000, 19032,26952, 19048,22856, 19064,31048, + 19096,25928, 19112,21832, 19128,30024, 19144,19784, 19160,27976, 19176,23880, + 19192,32072, 19224,25416, 19240,21320, 19256,29512, 19288,27464, 19304,23368, + 19320,31560, 19352,26440, 19368,22344, 19384,30536, 19400,20296, 19416,28488, + 19432,24392, 19448,32584, 19480,24776, 19496,20680, 19512,28872, 19544,26824, + 19560,22728, 19576,30920, 19608,25800, 19624,21704, 19640,29896, 19672,27848, + 19688,23752, 19704,31944, 19736,25288, 19752,21192, 19768,29384, 19800,27336, + 19816,23240, 19832,31432, 19864,26312, 19880,22216, 19896,30408, 19912,20168, + 19928,28360, 19944,24264, 19960,32456, 19992,25032, 20008,20936, 20024,29128, + 20056,27080, 20072,22984, 20088,31176, 20120,26056, 20136,21960, 20152,30152, + 20184,28104, 20200,24008, 20216,32200, 20248,25544, 20264,21448, 20280,29640, + 20312,27592, 20328,23496, 20344,31688, 20376,26568, 20392,22472, 20408,30664, + 20440,28616, 20456,24520, 20472,32712, 20504,24616, 20536,28712, 20568,26664, + 20584,22568, 20600,30760, 20632,25640, 20648,21544, 20664,29736, 20696,27688, + 20712,23592, 20728,31784, 20760,25128, 20776,21032, 20792,29224, 20824,27176, + 20840,23080, 20856,31272, 20888,26152, 20904,22056, 20920,30248, 20952,28200, + 20968,24104, 20984,32296, 21016,24872, 21048,28968, 21080,26920, 21096,22824, + 21112,31016, 21144,25896, 21160,21800, 21176,29992, 21208,27944, 21224,23848, + 21240,32040, 21272,25384, 21304,29480, 21336,27432, 21352,23336, 21368,31528, + 21400,26408, 21416,22312, 21432,30504, 21464,28456, 21480,24360, 21496,32552, + 21528,24744, 21560,28840, 21592,26792, 21608,22696, 21624,30888, 21656,25768, + 21688,29864, 21720,27816, 21736,23720, 21752,31912, 21784,25256, 21816,29352, + 21848,27304, 21864,23208, 21880,31400, 21912,26280, 21928,22184, 21944,30376, + 21976,28328, 21992,24232, 22008,32424, 22040,25000, 22072,29096, 22104,27048, + 22120,22952, 22136,31144, 22168,26024, 22200,30120, 22232,28072, 22248,23976, + 22264,32168, 22296,25512, 22328,29608, 22360,27560, 22376,23464, 22392,31656, + 22424,26536, 22456,30632, 22488,28584, 22504,24488, 22520,32680, 22552,24680, + 22584,28776, 22616,26728, 22648,30824, 22680,25704, 22712,29800, 22744,27752, + 22760,23656, 22776,31848, 22808,25192, 22840,29288, 22872,27240, 22888,23144, + 22904,31336, 22936,26216, 22968,30312, 23000,28264, 23016,24168, 23032,32360, + 23064,24936, 23096,29032, 23128,26984, 23160,31080, 23192,25960, 23224,30056, + 23256,28008, 23272,23912, 23288,32104, 23320,25448, 23352,29544, 23384,27496, + 23416,31592, 23448,26472, 23480,30568, 23512,28520, 23528,24424, 23544,32616, + 23576,24808, 23608,28904, 23640,26856, 23672,30952, 23704,25832, 23736,29928, + 23768,27880, 23800,31976, 23832,25320, 23864,29416, 23896,27368, 23928,31464, + 23960,26344, 23992,30440, 24024,28392, 24040,24296, 24056,32488, 24088,25064, + 24120,29160, 24152,27112, 24184,31208, 24216,26088, 24248,30184, 24280,28136, + 24312,32232, 24344,25576, 24376,29672, 24408,27624, 24440,31720, 24472,26600, + 24504,30696, 24536,28648, 24568,32744, 24632,28696, 24664,26648, 24696,30744, + 24728,25624, 24760,29720, 24792,27672, 24824,31768, 24856,25112, 24888,29208, + 24920,27160, 24952,31256, 24984,26136, 25016,30232, 25048,28184, 25080,32280, + 25144,28952, 25176,26904, 25208,31000, 25240,25880, 25272,29976, 25304,27928, + 25336,32024, 25400,29464, 25432,27416, 25464,31512, 25496,26392, 25528,30488, + 25560,28440, 25592,32536, 25656,28824, 25688,26776, 25720,30872, 25784,29848, + 25816,27800, 25848,31896, 25912,29336, 25944,27288, 25976,31384, 26008,26264, + 26040,30360, 26072,28312, 26104,32408, 26168,29080, 26200,27032, 26232,31128, + 26296,30104, 26328,28056, 26360,32152, 26424,29592, 26456,27544, 26488,31640, + 26552,30616, 26584,28568, 26616,32664, 26680,28760, 26744,30808, 26808,29784, + 26840,27736, 26872,31832, 26936,29272, 26968,27224, 27000,31320, 27064,30296, + 27096,28248, 27128,32344, 27192,29016, 27256,31064, 27320,30040, 27352,27992, + 27384,32088, 27448,29528, 27512,31576, 27576,30552, 27608,28504, 27640,32600, + 27704,28888, 27768,30936, 27832,29912, 27896,31960, 27960,29400, 28024,31448, + 28088,30424, 28120,28376, 28152,32472, 28216,29144, 28280,31192, 28344,30168, + 28408,32216, 28472,29656, 28536,31704, 28600,30680, 28664,32728, 28792,30776, + 28856,29752, 28920,31800, 28984,29240, 29048,31288, 29112,30264, 29176,32312, + 29304,31032, 29368,30008, 29432,32056, 29560,31544, 29624,30520, 29688,32568, + 29816,30904, 29944,31928, 30072,31416, 30136,30392, 30200,32440, 30328,31160, + 30456,32184, 30584,31672, 30712,32696, 30968,31864, 31096,31352, 31224,32376, + 31480,32120, 31736,32632, 32248,32504 +}; + +/** +* \par +* Example code for Floating-point RFFT Twiddle factors Generation: +* \par +* <pre>TW = exp(2*pi*i*[0:L/2-1]/L - pi/2*i).' </pre> +* \par +* Real and Imag values are in interleaved fashion +*/ +const float32_t twiddleCoef_rfft_32[32] = { +0.0f , 1.0f , +0.195090322f , 0.98078528f , +0.382683432f , 0.923879533f , +0.555570233f , 0.831469612f , +0.707106781f , 0.707106781f , +0.831469612f , 0.555570233f , +0.923879533f , 0.382683432f , +0.98078528f , 0.195090322f , +1.0f , 0.0f , +0.98078528f , -0.195090322f , +0.923879533f , -0.382683432f , +0.831469612f , -0.555570233f , +0.707106781f , -0.707106781f , +0.555570233f , -0.831469612f , +0.382683432f , -0.923879533f , +0.195090322f , -0.98078528f +}; + +const float32_t twiddleCoef_rfft_64[64] = { +0.0f, 1.0f, +0.098017140329561f, 0.995184726672197f, +0.195090322016128f, 0.98078528040323f, +0.290284677254462f, 0.956940335732209f, +0.38268343236509f, 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, 0.38268343236509f, +0.956940335732209f, 0.290284677254462f, +0.98078528040323f, 0.195090322016128f, +0.995184726672197f, 0.098017140329561f, +1.0f, 0.0f, +0.995184726672197f, -0.098017140329561f, +0.98078528040323f, -0.195090322016128f, +0.956940335732209f, -0.290284677254462f, +0.923879532511287f, -0.38268343236509f, +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, +0.38268343236509f, -0.923879532511287f, +0.290284677254462f, -0.956940335732209f, +0.195090322016129f, -0.98078528040323f, +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, + 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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, + 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-0.634393284f, + 0.765167266f, -0.643831543f, + 0.757208847f, -0.653172843f, + 0.749136395f, -0.662415778f, + 0.740951125f, -0.671558955f, + 0.732654272f, -0.680600998f, + 0.724247083f, -0.689540545f, + 0.715730825f, -0.698376249f, + 0.707106781f, -0.707106781f, + 0.698376249f, -0.715730825f, + 0.689540545f, -0.724247083f, + 0.680600998f, -0.732654272f, + 0.671558955f, -0.740951125f, + 0.662415778f, -0.749136395f, + 0.653172843f, -0.757208847f, + 0.643831543f, -0.765167266f, + 0.634393284f, -0.773010453f, + 0.624859488f, -0.780737229f, + 0.615231591f, -0.788346428f, + 0.605511041f, -0.795836905f, + 0.595699304f, -0.803207531f, + 0.585797857f, -0.810457198f, + 0.575808191f, -0.817584813f, + 0.565731811f, -0.824589303f, + 0.555570233f, -0.831469612f, + 0.545324988f, -0.838224706f, + 0.534997620f, -0.844853565f, + 0.524589683f, -0.851355193f, + 0.514102744f, -0.857728610f, + 0.503538384f, -0.863972856f, + 0.492898192f, -0.870086991f, + 0.482183772f, -0.876070094f, + 0.471396737f, -0.881921264f, + 0.460538711f, -0.887639620f, + 0.449611330f, -0.893224301f, + 0.438616239f, -0.898674466f, + 0.427555093f, -0.903989293f, + 0.416429560f, -0.909167983f, + 0.405241314f, -0.914209756f, + 0.393992040f, -0.919113852f, + 0.382683432f, -0.923879533f, + 0.371317194f, -0.928506080f, + 0.359895037f, -0.932992799f, + 0.348418680f, -0.937339012f, + 0.336889853f, -0.941544065f, + 0.325310292f, -0.945607325f, + 0.313681740f, -0.949528181f, + 0.302005949f, -0.953306040f, + 0.290284677f, -0.956940336f, + 0.278519689f, -0.960430519f, + 0.266712757f, -0.963776066f, + 0.254865660f, -0.966976471f, + 0.242980180f, -0.970031253f, + 0.231058108f, -0.972939952f, + 0.219101240f, -0.975702130f, + 0.207111376f, -0.978317371f, + 0.195090322f, -0.980785280f, + 0.183039888f, -0.983105487f, + 0.170961889f, -0.985277642f, + 0.158858143f, -0.987301418f, + 0.146730474f, -0.989176510f, + 0.134580709f, -0.990902635f, + 0.122410675f, -0.992479535f, + 0.110222207f, -0.993906970f, + 0.098017140f, -0.995184727f, + 0.085797312f, -0.996312612f, + 0.073564564f, -0.997290457f, + 0.061320736f, -0.998118113f, + 0.049067674f, -0.998795456f, + 0.036807223f, -0.999322385f, + 0.024541229f, -0.999698819f, + 0.012271538f, -0.999924702f +}; + +const float32_t twiddleCoef_rfft_1024[1024] = { + 0.000000000f, 1.000000000f, + 0.006135885f, 0.999981175f, + 0.012271538f, 0.999924702f, + 0.018406730f, 0.999830582f, + 0.024541229f, 0.999698819f, + 0.030674803f, 0.999529418f, + 0.036807223f, 0.999322385f, + 0.042938257f, 0.999077728f, + 0.049067674f, 0.998795456f, + 0.055195244f, 0.998475581f, + 0.061320736f, 0.998118113f, + 0.067443920f, 0.997723067f, + 0.073564564f, 0.997290457f, + 0.079682438f, 0.996820299f, + 0.085797312f, 0.996312612f, + 0.091908956f, 0.995767414f, + 0.098017140f, 0.995184727f, + 0.104121634f, 0.994564571f, + 0.110222207f, 0.993906970f, + 0.116318631f, 0.993211949f, + 0.122410675f, 0.992479535f, + 0.128498111f, 0.991709754f, + 0.134580709f, 0.990902635f, + 0.140658239f, 0.990058210f, + 0.146730474f, 0.989176510f, + 0.152797185f, 0.988257568f, + 0.158858143f, 0.987301418f, + 0.164913120f, 0.986308097f, + 0.170961889f, 0.985277642f, + 0.177004220f, 0.984210092f, + 0.183039888f, 0.983105487f, + 0.189068664f, 0.981963869f, + 0.195090322f, 0.980785280f, + 0.201104635f, 0.979569766f, + 0.207111376f, 0.978317371f, + 0.213110320f, 0.977028143f, + 0.219101240f, 0.975702130f, + 0.225083911f, 0.974339383f, + 0.231058108f, 0.972939952f, + 0.237023606f, 0.971503891f, + 0.242980180f, 0.970031253f, + 0.248927606f, 0.968522094f, + 0.254865660f, 0.966976471f, + 0.260794118f, 0.965394442f, + 0.266712757f, 0.963776066f, + 0.272621355f, 0.962121404f, + 0.278519689f, 0.960430519f, + 0.284407537f, 0.958703475f, + 0.290284677f, 0.956940336f, + 0.296150888f, 0.955141168f, + 0.302005949f, 0.953306040f, + 0.307849640f, 0.951435021f, + 0.313681740f, 0.949528181f, + 0.319502031f, 0.947585591f, + 0.325310292f, 0.945607325f, + 0.331106306f, 0.943593458f, + 0.336889853f, 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0.032208025f, -0.999481187f, + 0.030674803f, -0.999529418f, + 0.029141509f, -0.999575296f, + 0.027608146f, -0.999618822f, + 0.026074718f, -0.999659997f, + 0.024541229f, -0.999698819f, + 0.023007681f, -0.999735288f, + 0.021474080f, -0.999769405f, + 0.019940429f, -0.999801170f, + 0.018406730f, -0.999830582f, + 0.016872988f, -0.999857641f, + 0.015339206f, -0.999882347f, + 0.013805389f, -0.999904701f, + 0.012271538f, -0.999924702f, + 0.010737659f, -0.999942350f, + 0.009203755f, -0.999957645f, + 0.007669829f, -0.999970586f, + 0.006135885f, -0.999981175f, + 0.004601926f, -0.999989411f, + 0.003067957f, -0.999995294f, + 0.001533980f, -0.999998823f +}; + + +/** + * \par + * Example code for the generation of the floating-point sine table: + * <pre> + * tableSize = 512; + * for(n = 0; n < (tableSize + 1); n++) + * { + * sinTable[n]=sin(2*pi*n/tableSize); + * }</pre> + * \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: + * <pre> + * tableSize = 512; + * for(n = 0; n < (tableSize + 1); n++) + * { + * sinTable[n]= sin(2*pi*n/tableSize); + * } </pre> + * 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] = { + 0x00000000, 0x01921D20, 0x03242ABF, 0x04B6195D, 0x0647D97C, 0x07D95B9E, + 0x096A9049, 0x0AFB6805, 0x0C8BD35E, 0x0E1BC2E4, 0x0FAB272B, 0x1139F0CF, + 0x12C8106F, 0x145576B1, 0x15E21445, 0x176DD9DE, 0x18F8B83C, 0x1A82A026, + 0x1C0B826A, 0x1D934FE5, 0x1F19F97B, 0x209F701C, 0x2223A4C5, 0x23A6887F, + 0x25280C5E, 0x26A82186, 0x2826B928, 0x29A3C485, 0x2B1F34EB, 0x2C98FBBA, + 0x2E110A62, 0x2F875262, 0x30FBC54D, 0x326E54C7, 0x33DEF287, 0x354D9057, + 0x36BA2014, 0x382493B0, 0x398CDD32, 0x3AF2EEB7, 0x3C56BA70, 0x3DB832A6, + 0x3F1749B8, 0x4073F21D, 0x41CE1E65, 0x4325C135, 0x447ACD50, 0x45CD358F, + 0x471CECE7, 0x4869E665, 0x49B41533, 0x4AFB6C98, 0x4C3FDFF4, 0x4D8162C4, + 0x4EBFE8A5, 0x4FFB654D, 0x5133CC94, 0x5269126E, 0x539B2AF0, 0x54CA0A4B, + 0x55F5A4D2, 0x571DEEFA, 0x5842DD54, 0x59646498, 0x5A82799A, 0x5B9D1154, + 0x5CB420E0, 0x5DC79D7C, 0x5ED77C8A, 0x5FE3B38D, 0x60EC3830, 0x61F1003F, + 0x62F201AC, 0x63EF3290, 0x64E88926, 0x65DDFBD3, 0x66CF8120, 0x67BD0FBD, + 0x68A69E81, 0x698C246C, 0x6A6D98A4, 0x6B4AF279, 0x6C242960, 0x6CF934FC, + 0x6DCA0D14, 0x6E96A99D, 0x6F5F02B2, 0x7023109A, 0x70E2CBC6, 0x719E2CD2, + 0x72552C85, 0x7307C3D0, 0x73B5EBD1, 0x745F9DD1, 0x7504D345, 0x75A585CF, + 0x7641AF3D, 0x76D94989, 0x776C4EDB, 0x77FAB989, 0x78848414, 0x7909A92D, + 0x798A23B1, 0x7A05EEAD, 0x7A7D055B, 0x7AEF6323, 0x7B5D039E, 0x7BC5E290, + 0x7C29FBEE, 0x7C894BDE, 0x7CE3CEB2, 0x7D3980EC, 0x7D8A5F40, 0x7DD6668F, + 0x7E1D93EA, 0x7E5FE493, 0x7E9D55FC, 0x7ED5E5C6, 0x7F0991C4, 0x7F3857F6, + 0x7F62368F, 0x7F872BF3, 0x7FA736B4, 0x7FC25596, 0x7FD8878E, 0x7FE9CBC0, + 0x7FF62182, 0x7FFD885A, 0x7FFFFFFF, 0x7FFD885A, 0x7FF62182, 0x7FE9CBC0, + 0x7FD8878E, 0x7FC25596, 0x7FA736B4, 0x7F872BF3, 0x7F62368F, 0x7F3857F6, + 0x7F0991C4, 0x7ED5E5C6, 0x7E9D55FC, 0x7E5FE493, 0x7E1D93EA, 0x7DD6668F, + 0x7D8A5F40, 0x7D3980EC, 0x7CE3CEB2, 0x7C894BDE, 0x7C29FBEE, 0x7BC5E290, + 0x7B5D039E, 0x7AEF6323, 0x7A7D055B, 0x7A05EEAD, 0x798A23B1, 0x7909A92D, + 0x78848414, 0x77FAB989, 0x776C4EDB, 0x76D94989, 0x7641AF3D, 0x75A585CF, + 0x7504D345, 0x745F9DD1, 0x73B5EBD1, 0x7307C3D0, 0x72552C85, 0x719E2CD2, + 0x70E2CBC6, 0x7023109A, 0x6F5F02B2, 0x6E96A99D, 0x6DCA0D14, 0x6CF934FC, + 0x6C242960, 0x6B4AF279, 0x6A6D98A4, 0x698C246C, 0x68A69E81, 0x67BD0FBD, + 0x66CF8120, 0x65DDFBD3, 0x64E88926, 0x63EF3290, 0x62F201AC, 0x61F1003F, + 0x60EC3830, 0x5FE3B38D, 0x5ED77C8A, 0x5DC79D7C, 0x5CB420E0, 0x5B9D1154, + 0x5A82799A, 0x59646498, 0x5842DD54, 0x571DEEFA, 0x55F5A4D2, 0x54CA0A4B, + 0x539B2AF0, 0x5269126E, 0x5133CC94, 0x4FFB654D, 0x4EBFE8A5, 0x4D8162C4, + 0x4C3FDFF4, 0x4AFB6C98, 0x49B41533, 0x4869E665, 0x471CECE7, 0x45CD358F, + 0x447ACD50, 0x4325C135, 0x41CE1E65, 0x4073F21D, 0x3F1749B8, 0x3DB832A6, + 0x3C56BA70, 0x3AF2EEB7, 0x398CDD32, 0x382493B0, 0x36BA2014, 0x354D9057, + 0x33DEF287, 0x326E54C7, 0x30FBC54D, 0x2F875262, 0x2E110A62, 0x2C98FBBA, + 0x2B1F34EB, 0x29A3C485, 0x2826B928, 0x26A82186, 0x25280C5E, 0x23A6887F, + 0x2223A4C5, 0x209F701C, 0x1F19F97B, 0x1D934FE5, 0x1C0B826A, 0x1A82A026, + 0x18F8B83C, 0x176DD9DE, 0x15E21445, 0x145576B1, 0x12C8106F, 0x1139F0CF, + 0x0FAB272B, 0x0E1BC2E4, 0x0C8BD35E, 0x0AFB6805, 0x096A9049, 0x07D95B9E, + 0x0647D97C, 0x04B6195D, 0x03242ABF, 0x01921D20, 0x00000000, 0xFE6DE2E0, + 0xFCDBD541, 0xFB49E6A3, 0xF9B82684, 0xF826A462, 0xF6956FB7, 0xF50497FB, + 0xF3742CA2, 0xF1E43D1C, 0xF054D8D5, 0xEEC60F31, 0xED37EF91, 0xEBAA894F, + 0xEA1DEBBB, 0xE8922622, 0xE70747C4, 0xE57D5FDA, 0xE3F47D96, 0xE26CB01B, + 0xE0E60685, 0xDF608FE4, 0xDDDC5B3B, 0xDC597781, 0xDAD7F3A2, 0xD957DE7A, + 0xD7D946D8, 0xD65C3B7B, 0xD4E0CB15, 0xD3670446, 0xD1EEF59E, 0xD078AD9E, + 0xCF043AB3, 0xCD91AB39, 0xCC210D79, 0xCAB26FA9, 0xC945DFEC, 0xC7DB6C50, + 0xC67322CE, 0xC50D1149, 0xC3A94590, 0xC247CD5A, 0xC0E8B648, 0xBF8C0DE3, + 0xBE31E19B, 0xBCDA3ECB, 0xBB8532B0, 0xBA32CA71, 0xB8E31319, 0xB796199B, + 0xB64BEACD, 0xB5049368, 0xB3C0200C, 0xB27E9D3C, 0xB140175B, 0xB0049AB3, + 0xAECC336C, 0xAD96ED92, 0xAC64D510, 0xAB35F5B5, 0xAA0A5B2E, 0xA8E21106, + 0xA7BD22AC, 0xA69B9B68, 0xA57D8666, 0xA462EEAC, 0xA34BDF20, 0xA2386284, + 0xA1288376, 0xA01C4C73, 0x9F13C7D0, 0x9E0EFFC1, 0x9D0DFE54, 0x9C10CD70, + 0x9B1776DA, 0x9A22042D, 0x99307EE0, 0x9842F043, 0x9759617F, 0x9673DB94, + 0x9592675C, 0x94B50D87, 0x93DBD6A0, 0x9306CB04, 0x9235F2EC, 0x91695663, + 0x90A0FD4E, 0x8FDCEF66, 0x8F1D343A, 0x8E61D32E, 0x8DAAD37B, 0x8CF83C30, + 0x8C4A142F, 0x8BA0622F, 0x8AFB2CBB, 0x8A5A7A31, 0x89BE50C3, 0x8926B677, + 0x8893B125, 0x88054677, 0x877B7BEC, 0x86F656D3, 0x8675DC4F, 0x85FA1153, + 0x8582FAA5, 0x85109CDD, 0x84A2FC62, 0x843A1D70, 0x83D60412, 0x8376B422, + 0x831C314E, 0x82C67F14, 0x8275A0C0, 0x82299971, 0x81E26C16, 0x81A01B6D, + 0x8162AA04, 0x812A1A3A, 0x80F66E3C, 0x80C7A80A, 0x809DC971, 0x8078D40D, + 0x8058C94C, 0x803DAA6A, 0x80277872, 0x80163440, 0x8009DE7E, 0x800277A6, + 0x80000000, 0x800277A6, 0x8009DE7E, 0x80163440, 0x80277872, 0x803DAA6A, + 0x8058C94C, 0x8078D40D, 0x809DC971, 0x80C7A80A, 0x80F66E3C, 0x812A1A3A, + 0x8162AA04, 0x81A01B6D, 0x81E26C16, 0x82299971, 0x8275A0C0, 0x82C67F14, + 0x831C314E, 0x8376B422, 0x83D60412, 0x843A1D70, 0x84A2FC62, 0x85109CDD, + 0x8582FAA5, 0x85FA1153, 0x8675DC4F, 0x86F656D3, 0x877B7BEC, 0x88054677, + 0x8893B125, 0x8926B677, 0x89BE50C3, 0x8A5A7A31, 0x8AFB2CBB, 0x8BA0622F, + 0x8C4A142F, 0x8CF83C30, 0x8DAAD37B, 0x8E61D32E, 0x8F1D343A, 0x8FDCEF66, + 0x90A0FD4E, 0x91695663, 0x9235F2EC, 0x9306CB04, 0x93DBD6A0, 0x94B50D87, + 0x9592675C, 0x9673DB94, 0x9759617F, 0x9842F043, 0x99307EE0, 0x9A22042D, + 0x9B1776DA, 0x9C10CD70, 0x9D0DFE54, 0x9E0EFFC1, 0x9F13C7D0, 0xA01C4C73, + 0xA1288376, 0xA2386284, 0xA34BDF20, 0xA462EEAC, 0xA57D8666, 0xA69B9B68, + 0xA7BD22AC, 0xA8E21106, 0xAA0A5B2E, 0xAB35F5B5, 0xAC64D510, 0xAD96ED92, + 0xAECC336C, 0xB0049AB3, 0xB140175B, 0xB27E9D3C, 0xB3C0200C, 0xB5049368, + 0xB64BEACD, 0xB796199B, 0xB8E31319, 0xBA32CA71, 0xBB8532B0, 0xBCDA3ECB, + 0xBE31E19B, 0xBF8C0DE3, 0xC0E8B648, 0xC247CD5A, 0xC3A94590, 0xC50D1149, + 0xC67322CE, 0xC7DB6C50, 0xC945DFEC, 0xCAB26FA9, 0xCC210D79, 0xCD91AB39, + 0xCF043AB3, 0xD078AD9E, 0xD1EEF59E, 0xD3670446, 0xD4E0CB15, 0xD65C3B7B, + 0xD7D946D8, 0xD957DE7A, 0xDAD7F3A2, 0xDC597781, 0xDDDC5B3B, 0xDF608FE4, + 0xE0E60685, 0xE26CB01B, 0xE3F47D96, 0xE57D5FDA, 0xE70747C4, 0xE8922622, + 0xEA1DEBBB, 0xEBAA894F, 0xED37EF91, 0xEEC60F31, 0xF054D8D5, 0xF1E43D1C, + 0xF3742CA2, 0xF50497FB, 0xF6956FB7, 0xF826A462, 0xF9B82684, 0xFB49E6A3, + 0xFCDBD541, 0xFE6DE2E0, 0x00000000 +}; + +/** + * \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: + * <pre> + * tableSize = 512; + * for(n = 0; n < (tableSize + 1); n++) + * { + * sinTable[n]= sin(2*pi*n/tableSize); + * } </pre> + * 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] = { + 0x0000, 0x0192, 0x0324, 0x04B6, 0x0648, 0x07D9, 0x096B, 0x0AFB, 0x0C8C, 0x0E1C, 0x0FAB, 0x113A, 0x12C8, + 0x1455, 0x15E2, 0x176E, 0x18F9, 0x1A83, 0x1C0C, 0x1D93, 0x1F1A, 0x209F, 0x2224, 0x23A7, 0x2528, 0x26A8, + 0x2827, 0x29A4, 0x2B1F, 0x2C99, 0x2E11, 0x2F87, 0x30FC, 0x326E, 0x33DF, 0x354E, 0x36BA, 0x3825, 0x398D, + 0x3AF3, 0x3C57, 0x3DB8, 0x3F17, 0x4074, 0x41CE, 0x4326, 0x447B, 0x45CD, 0x471D, 0x486A, 0x49B4, 0x4AFB, + 0x4C40, 0x4D81, 0x4EC0, 0x4FFB, 0x5134, 0x5269, 0x539B, 0x54CA, 0x55F6, 0x571E, 0x5843, 0x5964, 0x5A82, + 0x5B9D, 0x5CB4, 0x5DC8, 0x5ED7, 0x5FE4, 0x60EC, 0x61F1, 0x62F2, 0x63EF, 0x64E9, 0x65DE, 0x66D0, 0x67BD, + 0x68A7, 0x698C, 0x6A6E, 0x6B4B, 0x6C24, 0x6CF9, 0x6DCA, 0x6E97, 0x6F5F, 0x7023, 0x70E3, 0x719E, 0x7255, + 0x7308, 0x73B6, 0x7460, 0x7505, 0x75A6, 0x7642, 0x76D9, 0x776C, 0x77FB, 0x7885, 0x790A, 0x798A, 0x7A06, + 0x7A7D, 0x7AEF, 0x7B5D, 0x7BC6, 0x7C2A, 0x7C89, 0x7CE4, 0x7D3A, 0x7D8A, 0x7DD6, 0x7E1E, 0x7E60, 0x7E9D, + 0x7ED6, 0x7F0A, 0x7F38, 0x7F62, 0x7F87, 0x7FA7, 0x7FC2, 0x7FD9, 0x7FEA, 0x7FF6, 0x7FFE, 0x7FFF, 0x7FFE, + 0x7FF6, 0x7FEA, 0x7FD9, 0x7FC2, 0x7FA7, 0x7F87, 0x7F62, 0x7F38, 0x7F0A, 0x7ED6, 0x7E9D, 0x7E60, 0x7E1E, + 0x7DD6, 0x7D8A, 0x7D3A, 0x7CE4, 0x7C89, 0x7C2A, 0x7BC6, 0x7B5D, 0x7AEF, 0x7A7D, 0x7A06, 0x798A, 0x790A, + 0x7885, 0x77FB, 0x776C, 0x76D9, 0x7642, 0x75A6, 0x7505, 0x7460, 0x73B6, 0x7308, 0x7255, 0x719E, 0x70E3, + 0x7023, 0x6F5F, 0x6E97, 0x6DCA, 0x6CF9, 0x6C24, 0x6B4B, 0x6A6E, 0x698C, 0x68A7, 0x67BD, 0x66D0, 0x65DE, + 0x64E9, 0x63EF, 0x62F2, 0x61F1, 0x60EC, 0x5FE4, 0x5ED7, 0x5DC8, 0x5CB4, 0x5B9D, 0x5A82, 0x5964, 0x5843, + 0x571E, 0x55F6, 0x54CA, 0x539B, 0x5269, 0x5134, 0x4FFB, 0x4EC0, 0x4D81, 0x4C40, 0x4AFB, 0x49B4, 0x486A, + 0x471D, 0x45CD, 0x447B, 0x4326, 0x41CE, 0x4074, 0x3F17, 0x3DB8, 0x3C57, 0x3AF3, 0x398D, 0x3825, 0x36BA, + 0x354E, 0x33DF, 0x326E, 0x30FC, 0x2F87, 0x2E11, 0x2C99, 0x2B1F, 0x29A4, 0x2827, 0x26A8, 0x2528, 0x23A7, + 0x2224, 0x209F, 0x1F1A, 0x1D93, 0x1C0C, 0x1A83, 0x18F9, 0x176E, 0x15E2, 0x1455, 0x12C8, 0x113A, 0x0FAB, + 0x0E1C, 0x0C8C, 0x0AFB, 0x096B, 0x07D9, 0x0648, 0x04B6, 0x0324, 0x0192, 0x0000, 0xFE6E, 0xFCDC, 0xFB4A, + 0xF9B8, 0xF827, 0xF695, 0xF505, 0xF374, 0xF1E4, 0xF055, 0xEEC6, 0xED38, 0xEBAB, 0xEA1E, 0xE892, 0xE707, + 0xE57D, 0xE3F4, 0xE26D, 0xE0E6, 0xDF61, 0xDDDC, 0xDC59, 0xDAD8, 0xD958, 0xD7D9, 0xD65C, 0xD4E1, 0xD367, + 0xD1EF, 0xD079, 0xCF04, 0xCD92, 0xCC21, 0xCAB2, 0xC946, 0xC7DB, 0xC673, 0xC50D, 0xC3A9, 0xC248, 0xC0E9, + 0xBF8C, 0xBE32, 0xBCDA, 0xBB85, 0xBA33, 0xB8E3, 0xB796, 0xB64C, 0xB505, 0xB3C0, 0xB27F, 0xB140, 0xB005, + 0xAECC, 0xAD97, 0xAC65, 0xAB36, 0xAA0A, 0xA8E2, 0xA7BD, 0xA69C, 0xA57E, 0xA463, 0xA34C, 0xA238, 0xA129, + 0xA01C, 0x9F14, 0x9E0F, 0x9D0E, 0x9C11, 0x9B17, 0x9A22, 0x9930, 0x9843, 0x9759, 0x9674, 0x9592, 0x94B5, + 0x93DC, 0x9307, 0x9236, 0x9169, 0x90A1, 0x8FDD, 0x8F1D, 0x8E62, 0x8DAB, 0x8CF8, 0x8C4A, 0x8BA0, 0x8AFB, + 0x8A5A, 0x89BE, 0x8927, 0x8894, 0x8805, 0x877B, 0x86F6, 0x8676, 0x85FA, 0x8583, 0x8511, 0x84A3, 0x843A, + 0x83D6, 0x8377, 0x831C, 0x82C6, 0x8276, 0x822A, 0x81E2, 0x81A0, 0x8163, 0x812A, 0x80F6, 0x80C8, 0x809E, + 0x8079, 0x8059, 0x803E, 0x8027, 0x8016, 0x800A, 0x8002, 0x8000, 0x8002, 0x800A, 0x8016, 0x8027, 0x803E, + 0x8059, 0x8079, 0x809E, 0x80C8, 0x80F6, 0x812A, 0x8163, 0x81A0, 0x81E2, 0x822A, 0x8276, 0x82C6, 0x831C, + 0x8377, 0x83D6, 0x843A, 0x84A3, 0x8511, 0x8583, 0x85FA, 0x8676, 0x86F6, 0x877B, 0x8805, 0x8894, 0x8927, + 0x89BE, 0x8A5A, 0x8AFB, 0x8BA0, 0x8C4A, 0x8CF8, 0x8DAB, 0x8E62, 0x8F1D, 0x8FDD, 0x90A1, 0x9169, 0x9236, + 0x9307, 0x93DC, 0x94B5, 0x9592, 0x9674, 0x9759, 0x9843, 0x9930, 0x9A22, 0x9B17, 0x9C11, 0x9D0E, 0x9E0F, + 0x9F14, 0xA01C, 0xA129, 0xA238, 0xA34C, 0xA463, 0xA57E, 0xA69C, 0xA7BD, 0xA8E2, 0xAA0A, 0xAB36, 0xAC65, + 0xAD97, 0xAECC, 0xB005, 0xB140, 0xB27F, 0xB3C0, 0xB505, 0xB64C, 0xB796, 0xB8E3, 0xBA33, 0xBB85, 0xBCDA, + 0xBE32, 0xBF8C, 0xC0E9, 0xC248, 0xC3A9, 0xC50D, 0xC673, 0xC7DB, 0xC946, 0xCAB2, 0xCC21, 0xCD92, 0xCF04, + 0xD079, 0xD1EF, 0xD367, 0xD4E1, 0xD65C, 0xD7D9, 0xD958, 0xDAD8, 0xDC59, 0xDDDC, 0xDF61, 0xE0E6, 0xE26D, + 0xE3F4, 0xE57D, 0xE707, 0xE892, 0xEA1E, 0xEBAB, 0xED38, 0xEEC6, 0xF055, 0xF1E4, 0xF374, 0xF505, 0xF695, + 0xF827, 0xF9B8, 0xFB4A, 0xFCDC, 0xFE6E, 0x0000 +}; diff --git a/DSP_Lib/Source/CommonTables/arm_const_structs.c b/DSP_Lib/Source/CommonTables/arm_const_structs.c new file mode 100644 index 0000000..f05c1c2 --- /dev/null +++ b/DSP_Lib/Source/CommonTables/arm_const_structs.c @@ -0,0 +1,156 @@ +/* ---------------------------------------------------------------------- +* Copyright (C) 2010-2014 ARM Limited. All rights reserved. +* +* $Date: 19. March 2015 +* $Revision: V.1.4.5 +* +* Project: CMSIS DSP Library +* Title: arm_const_structs.c +* +* Description: This file has constant structs that are initialized for +* user convenience. For example, some can be given as +* arguments to the arm_cfft_f32() function. +* +* Target Processor: Cortex-M4/Cortex-M3 +* +* Redistribution and use in source and binary forms, with or without +* modification, are permitted provided that the following conditions +* are met: +* - Redistributions of source code must retain the above copyright +* notice, this list of conditions and the following disclaimer. +* - Redistributions in binary form must reproduce the above copyright +* notice, this list of conditions and the following disclaimer in +* the documentation and/or other materials provided with the +* distribution. +* - Neither the name of ARM LIMITED nor the names of its contributors +* may be used to endorse or promote products derived from this +* software without specific prior written permission. +* +* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +* "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT +* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +* FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE +* COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, +* INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, +* BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER +* CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT +* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN +* ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +* POSSIBILITY OF SUCH DAMAGE. +* -------------------------------------------------------------------- */ + +#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, ARMBITREVINDEXTABLE1024_TABLE_LENGTH +}; + +const arm_cfft_instance_f32 arm_cfft_sR_f32_len2048 = { + 2048, twiddleCoef_2048, armBitRevIndexTable2048, ARMBITREVINDEXTABLE2048_TABLE_LENGTH +}; + +const arm_cfft_instance_f32 arm_cfft_sR_f32_len4096 = { + 4096, twiddleCoef_4096, armBitRevIndexTable4096, ARMBITREVINDEXTABLE4096_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 +}; |