/* ---------------------------------------------------------------------- * Copyright (C) 2010-2013 ARM Limited. All rights reserved. * * $Date: 17. January 2013 * $Revision: V1.4.1 * * 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 *
for(l=1;l <= N/4;l++) * { * for(i=0;i* \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 *> 1; * }
for(i = 0; i< N/; i++) * { * twiddleCoef[2*i]= cos(i * 2*PI/(float)N); * twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N); * }* \par * where N = 4096 and PI = 3.14159265358979 * \par * Cos and Sin values are in interleaved fashion * */ const float32_t twiddleCoef_16[32] = { 1.000000000f, 0.000000000f, 0.923879533f, 0.382683432f, 0.707106781f, 0.707106781f, 0.382683432f, 0.923879533f, 0.000000000f, 1.000000000f, -0.382683432f, 0.923879533f, -0.707106781f, 0.707106781f, -0.923879533f, 0.382683432f, -1.000000000f, 0.000000000f, -0.923879533f, -0.382683432f, -0.707106781f, -0.707106781f, -0.382683432f, -0.923879533f, -0.000000000f, -1.000000000f, 0.382683432f, -0.923879533f, 0.707106781f, -0.707106781f, 0.923879533f, -0.382683432f }; /** * \par * Example code for Floating-point Twiddle factors Generation: * \par *
for(i = 0; i< N/; i++) * { * twiddleCoef[2*i]= cos(i * 2*PI/(float)N); * twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N); * }* \par * where N = 4096 and PI = 3.14159265358979 * \par * Cos and Sin values are in interleaved fashion * */ const float32_t twiddleCoef_32[64] = { 1.000000000f, 0.000000000f, 0.980785280f, 0.195090322f, 0.923879533f, 0.382683432f, 0.831469612f, 0.555570233f, 0.707106781f, 0.707106781f, 0.555570233f, 0.831469612f, 0.382683432f, 0.923879533f, 0.195090322f, 0.980785280f, 0.000000000f, 1.000000000f, -0.195090322f, 0.980785280f, -0.382683432f, 0.923879533f, -0.555570233f, 0.831469612f, -0.707106781f, 0.707106781f, -0.831469612f, 0.555570233f, -0.923879533f, 0.382683432f, -0.980785280f, 0.195090322f, -1.000000000f, 0.000000000f, -0.980785280f, -0.195090322f, -0.923879533f, -0.382683432f, -0.831469612f, -0.555570233f, -0.707106781f, -0.707106781f, -0.555570233f, -0.831469612f, -0.382683432f, -0.923879533f, -0.195090322f, -0.980785280f, -0.000000000f, -1.000000000f, 0.195090322f, -0.980785280f, 0.382683432f, -0.923879533f, 0.555570233f, -0.831469612f, 0.707106781f, -0.707106781f, 0.831469612f, -0.555570233f, 0.923879533f, -0.382683432f, 0.980785280f, -0.195090322f }; /** * \par * Example code for Floating-point Twiddle factors Generation: * \par *
for(i = 0; i< N/; i++) * { * twiddleCoef[2*i]= cos(i * 2*PI/(float)N); * twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N); * }* \par * where N = 4096 and PI = 3.14159265358979 * \par * Cos and Sin values are in interleaved fashion * */ const float32_t twiddleCoef_64[128] = { 1.000000000f, 0.000000000f, 0.995184727f, 0.098017140f, 0.980785280f, 0.195090322f, 0.956940336f, 0.290284677f, 0.923879533f, 0.382683432f, 0.881921264f, 0.471396737f, 0.831469612f, 0.555570233f, 0.773010453f, 0.634393284f, 0.707106781f, 0.707106781f, 0.634393284f, 0.773010453f, 0.555570233f, 0.831469612f, 0.471396737f, 0.881921264f, 0.382683432f, 0.923879533f, 0.290284677f, 0.956940336f, 0.195090322f, 0.980785280f, 0.098017140f, 0.995184727f, 0.000000000f, 1.000000000f, -0.098017140f, 0.995184727f, -0.195090322f, 0.980785280f, -0.290284677f, 0.956940336f, -0.382683432f, 0.923879533f, -0.471396737f, 0.881921264f, -0.555570233f, 0.831469612f, -0.634393284f, 0.773010453f, -0.707106781f, 0.707106781f, -0.773010453f, 0.634393284f, -0.831469612f, 0.555570233f, -0.881921264f, 0.471396737f, -0.923879533f, 0.382683432f, -0.956940336f, 0.290284677f, -0.980785280f, 0.195090322f, -0.995184727f, 0.098017140f, -1.000000000f, 0.000000000f, -0.995184727f, -0.098017140f, -0.980785280f, -0.195090322f, -0.956940336f, -0.290284677f, -0.923879533f, -0.382683432f, -0.881921264f, -0.471396737f, -0.831469612f, -0.555570233f, -0.773010453f, -0.634393284f, -0.707106781f, -0.707106781f, -0.634393284f, -0.773010453f, -0.555570233f, -0.831469612f, -0.471396737f, -0.881921264f, -0.382683432f, -0.923879533f, -0.290284677f, -0.956940336f, -0.195090322f, -0.980785280f, -0.098017140f, -0.995184727f, -0.000000000f, -1.000000000f, 0.098017140f, -0.995184727f, 0.195090322f, -0.980785280f, 0.290284677f, -0.956940336f, 0.382683432f, -0.923879533f, 0.471396737f, -0.881921264f, 0.555570233f, -0.831469612f, 0.634393284f, -0.773010453f, 0.707106781f, -0.707106781f, 0.773010453f, -0.634393284f, 0.831469612f, -0.555570233f, 0.881921264f, -0.471396737f, 0.923879533f, -0.382683432f, 0.956940336f, -0.290284677f, 0.980785280f, -0.195090322f, 0.995184727f, -0.098017140f }; /** * \par * Example code for Floating-point Twiddle factors Generation: * \par *
for(i = 0; i< N/; i++) * { * twiddleCoef[2*i]= cos(i * 2*PI/(float)N); * twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N); * }* \par * where N = 4096 and PI = 3.14159265358979 * \par * Cos and Sin values are in interleaved fashion * */ const float32_t twiddleCoef_128[256] = { 1.000000000f , 0.000000000f , 0.998795456f , 0.049067674f , 0.995184727f , 0.098017140f , 0.989176510f , 0.146730474f , 0.980785280f , 0.195090322f , 0.970031253f , 0.242980180f , 0.956940336f , 0.290284677f , 0.941544065f , 0.336889853f , 0.923879533f , 0.382683432f , 0.903989293f , 0.427555093f , 0.881921264f , 0.471396737f , 0.857728610f , 0.514102744f , 0.831469612f , 0.555570233f , 0.803207531f , 0.595699304f , 0.773010453f , 0.634393284f , 0.740951125f , 0.671558955f , 0.707106781f , 0.707106781f , 0.671558955f , 0.740951125f , 0.634393284f , 0.773010453f , 0.595699304f , 0.803207531f , 0.555570233f , 0.831469612f , 0.514102744f , 0.857728610f , 0.471396737f , 0.881921264f , 0.427555093f , 0.903989293f , 0.382683432f , 0.923879533f , 0.336889853f , 0.941544065f , 0.290284677f , 0.956940336f , 0.242980180f , 0.970031253f , 0.195090322f , 0.980785280f , 0.146730474f , 0.989176510f , 0.098017140f , 0.995184727f , 0.049067674f , 0.998795456f , 0.000000000f , 1.000000000f , -0.049067674f , 0.998795456f , -0.098017140f , 0.995184727f , -0.146730474f , 0.989176510f , -0.195090322f , 0.980785280f , -0.242980180f , 0.970031253f , -0.290284677f , 0.956940336f , -0.336889853f , 0.941544065f , -0.382683432f , 0.923879533f , -0.427555093f , 0.903989293f , -0.471396737f , 0.881921264f , -0.514102744f , 0.857728610f , -0.555570233f , 0.831469612f , -0.595699304f , 0.803207531f , -0.634393284f , 0.773010453f , -0.671558955f , 0.740951125f , -0.707106781f , 0.707106781f , -0.740951125f , 0.671558955f , -0.773010453f , 0.634393284f , -0.803207531f , 0.595699304f , -0.831469612f , 0.555570233f , -0.857728610f , 0.514102744f , -0.881921264f , 0.471396737f , -0.903989293f , 0.427555093f , -0.923879533f , 0.382683432f , -0.941544065f , 0.336889853f , -0.956940336f , 0.290284677f , -0.970031253f , 0.242980180f , -0.980785280f , 0.195090322f , -0.989176510f , 0.146730474f , -0.995184727f , 0.098017140f , -0.998795456f , 0.049067674f , -1.000000000f , 0.000000000f , -0.998795456f , -0.049067674f , -0.995184727f , -0.098017140f , -0.989176510f , -0.146730474f , -0.980785280f , -0.195090322f , -0.970031253f , -0.242980180f , -0.956940336f , -0.290284677f , -0.941544065f , -0.336889853f , -0.923879533f , -0.382683432f , -0.903989293f , -0.427555093f , -0.881921264f , -0.471396737f , -0.857728610f , -0.514102744f , -0.831469612f , -0.555570233f , -0.803207531f , -0.595699304f , -0.773010453f , -0.634393284f , -0.740951125f , -0.671558955f , -0.707106781f , -0.707106781f , -0.671558955f , -0.740951125f , -0.634393284f , -0.773010453f , -0.595699304f , -0.803207531f , -0.555570233f , -0.831469612f , -0.514102744f , -0.857728610f , -0.471396737f , -0.881921264f , -0.427555093f , -0.903989293f , -0.382683432f , -0.923879533f , -0.336889853f , -0.941544065f , -0.290284677f , -0.956940336f , -0.242980180f , -0.970031253f , -0.195090322f , -0.980785280f , -0.146730474f , -0.989176510f , -0.098017140f , -0.995184727f , -0.049067674f , -0.998795456f , -0.000000000f , -1.000000000f , 0.049067674f , -0.998795456f , 0.098017140f , -0.995184727f , 0.146730474f , -0.989176510f , 0.195090322f , -0.980785280f , 0.242980180f , -0.970031253f , 0.290284677f , -0.956940336f , 0.336889853f , -0.941544065f , 0.382683432f , -0.923879533f , 0.427555093f , -0.903989293f , 0.471396737f , -0.881921264f , 0.514102744f , -0.857728610f , 0.555570233f , -0.831469612f , 0.595699304f , -0.803207531f , 0.634393284f , -0.773010453f , 0.671558955f , -0.740951125f , 0.707106781f , -0.707106781f , 0.740951125f , -0.671558955f , 0.773010453f , -0.634393284f , 0.803207531f , -0.595699304f , 0.831469612f , -0.555570233f , 0.857728610f , -0.514102744f , 0.881921264f , -0.471396737f , 0.903989293f , -0.427555093f , 0.923879533f , -0.382683432f , 0.941544065f , -0.336889853f , 0.956940336f , -0.290284677f , 0.970031253f , -0.242980180f , 0.980785280f , -0.195090322f , 0.989176510f , -0.146730474f , 0.995184727f , -0.098017140f , 0.998795456f , -0.049067674f }; /** * \par * Example code for Floating-point Twiddle factors Generation: * \par *
for(i = 0; i< N/; i++) * { * twiddleCoef[2*i]= cos(i * 2*PI/(float)N); * twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N); * }* \par * where N = 4096 and PI = 3.14159265358979 * \par * Cos and Sin values are in interleaved fashion * */ const float32_t twiddleCoef_256[512] = { 1.000000000f, 0.000000000f, 0.999698819f, 0.024541229f, 0.998795456f, 0.049067674f, 0.997290457f, 0.073564564f, 0.995184727f, 0.098017140f, 0.992479535f, 0.122410675f, 0.989176510f, 0.146730474f, 0.985277642f, 0.170961889f, 0.980785280f, 0.195090322f, 0.975702130f, 0.219101240f, 0.970031253f, 0.242980180f, 0.963776066f, 0.266712757f, 0.956940336f, 0.290284677f, 0.949528181f, 0.313681740f, 0.941544065f, 0.336889853f, 0.932992799f, 0.359895037f, 0.923879533f, 0.382683432f, 0.914209756f, 0.405241314f, 0.903989293f, 0.427555093f, 0.893224301f, 0.449611330f, 0.881921264f, 0.471396737f, 0.870086991f, 0.492898192f, 0.857728610f, 0.514102744f, 0.844853565f, 0.534997620f, 0.831469612f, 0.555570233f, 0.817584813f, 0.575808191f, 0.803207531f, 0.595699304f, 0.788346428f, 0.615231591f, 0.773010453f, 0.634393284f, 0.757208847f, 0.653172843f, 0.740951125f, 0.671558955f, 0.724247083f, 0.689540545f, 0.707106781f, 0.707106781f, 0.689540545f, 0.724247083f, 0.671558955f, 0.740951125f, 0.653172843f, 0.757208847f, 0.634393284f, 0.773010453f, 0.615231591f, 0.788346428f, 0.595699304f, 0.803207531f, 0.575808191f, 0.817584813f, 0.555570233f, 0.831469612f, 0.534997620f, 0.844853565f, 0.514102744f, 0.857728610f, 0.492898192f, 0.870086991f, 0.471396737f, 0.881921264f, 0.449611330f, 0.893224301f, 0.427555093f, 0.903989293f, 0.405241314f, 0.914209756f, 0.382683432f, 0.923879533f, 0.359895037f, 0.932992799f, 0.336889853f, 0.941544065f, 0.313681740f, 0.949528181f, 0.290284677f, 0.956940336f, 0.266712757f, 0.963776066f, 0.242980180f, 0.970031253f, 0.219101240f, 0.975702130f, 0.195090322f, 0.980785280f, 0.170961889f, 0.985277642f, 0.146730474f, 0.989176510f, 0.122410675f, 0.992479535f, 0.098017140f, 0.995184727f, 0.073564564f, 0.997290457f, 0.049067674f, 0.998795456f, 0.024541229f, 0.999698819f, 0.000000000f, 1.000000000f, -0.024541229f, 0.999698819f, -0.049067674f, 0.998795456f, -0.073564564f, 0.997290457f, -0.098017140f, 0.995184727f, -0.122410675f, 0.992479535f, -0.146730474f, 0.989176510f, -0.170961889f, 0.985277642f, -0.195090322f, 0.980785280f, -0.219101240f, 0.975702130f, -0.242980180f, 0.970031253f, -0.266712757f, 0.963776066f, -0.290284677f, 0.956940336f, -0.313681740f, 0.949528181f, -0.336889853f, 0.941544065f, -0.359895037f, 0.932992799f, -0.382683432f, 0.923879533f, -0.405241314f, 0.914209756f, -0.427555093f, 0.903989293f, -0.449611330f, 0.893224301f, -0.471396737f, 0.881921264f, -0.492898192f, 0.870086991f, -0.514102744f, 0.857728610f, -0.534997620f, 0.844853565f, -0.555570233f, 0.831469612f, -0.575808191f, 0.817584813f, -0.595699304f, 0.803207531f, -0.615231591f, 0.788346428f, -0.634393284f, 0.773010453f, -0.653172843f, 0.757208847f, -0.671558955f, 0.740951125f, -0.689540545f, 0.724247083f, -0.707106781f, 0.707106781f, -0.724247083f, 0.689540545f, -0.740951125f, 0.671558955f, -0.757208847f, 0.653172843f, -0.773010453f, 0.634393284f, -0.788346428f, 0.615231591f, -0.803207531f, 0.595699304f, -0.817584813f, 0.575808191f, -0.831469612f, 0.555570233f, -0.844853565f, 0.534997620f, -0.857728610f, 0.514102744f, -0.870086991f, 0.492898192f, -0.881921264f, 0.471396737f, -0.893224301f, 0.449611330f, -0.903989293f, 0.427555093f, -0.914209756f, 0.405241314f, -0.923879533f, 0.382683432f, -0.932992799f, 0.359895037f, -0.941544065f, 0.336889853f, -0.949528181f, 0.313681740f, -0.956940336f, 0.290284677f, -0.963776066f, 0.266712757f, -0.970031253f, 0.242980180f, -0.975702130f, 0.219101240f, -0.980785280f, 0.195090322f, -0.985277642f, 0.170961889f, -0.989176510f, 0.146730474f, -0.992479535f, 0.122410675f, -0.995184727f, 0.098017140f, -0.997290457f, 0.073564564f, -0.998795456f, 0.049067674f, -0.999698819f, 0.024541229f, -1.000000000f, 0.000000000f, -0.999698819f, -0.024541229f, -0.998795456f, -0.049067674f, -0.997290457f, -0.073564564f, -0.995184727f, -0.098017140f, -0.992479535f, -0.122410675f, -0.989176510f, -0.146730474f, -0.985277642f, -0.170961889f, -0.980785280f, -0.195090322f, -0.975702130f, -0.219101240f, -0.970031253f, -0.242980180f, -0.963776066f, -0.266712757f, -0.956940336f, -0.290284677f, -0.949528181f, -0.313681740f, -0.941544065f, -0.336889853f, -0.932992799f, -0.359895037f, -0.923879533f, -0.382683432f, -0.914209756f, -0.405241314f, -0.903989293f, -0.427555093f, -0.893224301f, -0.449611330f, -0.881921264f, -0.471396737f, -0.870086991f, -0.492898192f, -0.857728610f, -0.514102744f, -0.844853565f, -0.534997620f, -0.831469612f, -0.555570233f, -0.817584813f, -0.575808191f, -0.803207531f, -0.595699304f, -0.788346428f, -0.615231591f, -0.773010453f, -0.634393284f, -0.757208847f, -0.653172843f, -0.740951125f, -0.671558955f, -0.724247083f, -0.689540545f, -0.707106781f, -0.707106781f, -0.689540545f, -0.724247083f, -0.671558955f, -0.740951125f, -0.653172843f, -0.757208847f, -0.634393284f, -0.773010453f, -0.615231591f, -0.788346428f, -0.595699304f, -0.803207531f, -0.575808191f, -0.817584813f, -0.555570233f, -0.831469612f, -0.534997620f, -0.844853565f, -0.514102744f, -0.857728610f, -0.492898192f, -0.870086991f, -0.471396737f, -0.881921264f, -0.449611330f, -0.893224301f, -0.427555093f, -0.903989293f, -0.405241314f, -0.914209756f, -0.382683432f, -0.923879533f, -0.359895037f, -0.932992799f, -0.336889853f, -0.941544065f, -0.313681740f, -0.949528181f, -0.290284677f, -0.956940336f, -0.266712757f, -0.963776066f, -0.242980180f, -0.970031253f, -0.219101240f, -0.975702130f, -0.195090322f, -0.980785280f, -0.170961889f, -0.985277642f, -0.146730474f, -0.989176510f, -0.122410675f, -0.992479535f, -0.098017140f, -0.995184727f, -0.073564564f, -0.997290457f, -0.049067674f, -0.998795456f, -0.024541229f, -0.999698819f, -0.000000000f, -1.000000000f, 0.024541229f, -0.999698819f, 0.049067674f, -0.998795456f, 0.073564564f, -0.997290457f, 0.098017140f, -0.995184727f, 0.122410675f, -0.992479535f, 0.146730474f, -0.989176510f, 0.170961889f, -0.985277642f, 0.195090322f, -0.980785280f, 0.219101240f, -0.975702130f, 0.242980180f, -0.970031253f, 0.266712757f, -0.963776066f, 0.290284677f, -0.956940336f, 0.313681740f, -0.949528181f, 0.336889853f, -0.941544065f, 0.359895037f, -0.932992799f, 0.382683432f, -0.923879533f, 0.405241314f, -0.914209756f, 0.427555093f, -0.903989293f, 0.449611330f, -0.893224301f, 0.471396737f, -0.881921264f, 0.492898192f, -0.870086991f, 0.514102744f, -0.857728610f, 0.534997620f, -0.844853565f, 0.555570233f, -0.831469612f, 0.575808191f, -0.817584813f, 0.595699304f, -0.803207531f, 0.615231591f, -0.788346428f, 0.634393284f, -0.773010453f, 0.653172843f, -0.757208847f, 0.671558955f, -0.740951125f, 0.689540545f, -0.724247083f, 0.707106781f, -0.707106781f, 0.724247083f, -0.689540545f, 0.740951125f, -0.671558955f, 0.757208847f, -0.653172843f, 0.773010453f, -0.634393284f, 0.788346428f, -0.615231591f, 0.803207531f, -0.595699304f, 0.817584813f, -0.575808191f, 0.831469612f, -0.555570233f, 0.844853565f, -0.534997620f, 0.857728610f, -0.514102744f, 0.870086991f, -0.492898192f, 0.881921264f, -0.471396737f, 0.893224301f, -0.449611330f, 0.903989293f, -0.427555093f, 0.914209756f, -0.405241314f, 0.923879533f, -0.382683432f, 0.932992799f, -0.359895037f, 0.941544065f, -0.336889853f, 0.949528181f, -0.313681740f, 0.956940336f, -0.290284677f, 0.963776066f, -0.266712757f, 0.970031253f, -0.242980180f, 0.975702130f, -0.219101240f, 0.980785280f, -0.195090322f, 0.985277642f, -0.170961889f, 0.989176510f, -0.146730474f, 0.992479535f, -0.122410675f, 0.995184727f, -0.098017140f, 0.997290457f, -0.073564564f, 0.998795456f, -0.049067674f, 0.999698819f, -0.024541229f }; /** * \par * Example code for Floating-point Twiddle factors Generation: * \par *
for(i = 0; i< N/; i++) * { * twiddleCoef[2*i]= cos(i * 2*PI/(float)N); * twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N); * }* \par * where N = 4096 and PI = 3.14159265358979 * \par * Cos and Sin values are in interleaved fashion * */ const float32_t twiddleCoef_512[1024] = { 1.000000000f, 0.000000000f, 0.999924702f, 0.012271538f, 0.999698819f, 0.024541229f, 0.999322385f, 0.036807223f, 0.998795456f, 0.049067674f, 0.998118113f, 0.061320736f, 0.997290457f, 0.073564564f, 0.996312612f, 0.085797312f, 0.995184727f, 0.098017140f, 0.993906970f, 0.110222207f, 0.992479535f, 0.122410675f, 0.990902635f, 0.134580709f, 0.989176510f, 0.146730474f, 0.987301418f, 0.158858143f, 0.985277642f, 0.170961889f, 0.983105487f, 0.183039888f, 0.980785280f, 0.195090322f, 0.978317371f, 0.207111376f, 0.975702130f, 0.219101240f, 0.972939952f, 0.231058108f, 0.970031253f, 0.242980180f, 0.966976471f, 0.254865660f, 0.963776066f, 0.266712757f, 0.960430519f, 0.278519689f, 0.956940336f, 0.290284677f, 0.953306040f, 0.302005949f, 0.949528181f, 0.313681740f, 0.945607325f, 0.325310292f, 0.941544065f, 0.336889853f, 0.937339012f, 0.348418680f, 0.932992799f, 0.359895037f, 0.928506080f, 0.371317194f, 0.923879533f, 0.382683432f, 0.919113852f, 0.393992040f, 0.914209756f, 0.405241314f, 0.909167983f, 0.416429560f, 0.903989293f, 0.427555093f, 0.898674466f, 0.438616239f, 0.893224301f, 0.449611330f, 0.887639620f, 0.460538711f, 0.881921264f, 0.471396737f, 0.876070094f, 0.482183772f, 0.870086991f, 0.492898192f, 0.863972856f, 0.503538384f, 0.857728610f, 0.514102744f, 0.851355193f, 0.524589683f, 0.844853565f, 0.534997620f, 0.838224706f, 0.545324988f, 0.831469612f, 0.555570233f, 0.824589303f, 0.565731811f, 0.817584813f, 0.575808191f, 0.810457198f, 0.585797857f, 0.803207531f, 0.595699304f, 0.795836905f, 0.605511041f, 0.788346428f, 0.615231591f, 0.780737229f, 0.624859488f, 0.773010453f, 0.634393284f, 0.765167266f, 0.643831543f, 0.757208847f, 0.653172843f, 0.749136395f, 0.662415778f, 0.740951125f, 0.671558955f, 0.732654272f, 0.680600998f, 0.724247083f, 0.689540545f, 0.715730825f, 0.698376249f, 0.707106781f, 0.707106781f, 0.698376249f, 0.715730825f, 0.689540545f, 0.724247083f, 0.680600998f, 0.732654272f, 0.671558955f, 0.740951125f, 0.662415778f, 0.749136395f, 0.653172843f, 0.757208847f, 0.643831543f, 0.765167266f, 0.634393284f, 0.773010453f, 0.624859488f, 0.780737229f, 0.615231591f, 0.788346428f, 0.605511041f, 0.795836905f, 0.595699304f, 0.803207531f, 0.585797857f, 0.810457198f, 0.575808191f, 0.817584813f, 0.565731811f, 0.824589303f, 0.555570233f, 0.831469612f, 0.545324988f, 0.838224706f, 0.534997620f, 0.844853565f, 0.524589683f, 0.851355193f, 0.514102744f, 0.857728610f, 0.503538384f, 0.863972856f, 0.492898192f, 0.870086991f, 0.482183772f, 0.876070094f, 0.471396737f, 0.881921264f, 0.460538711f, 0.887639620f, 0.449611330f, 0.893224301f, 0.438616239f, 0.898674466f, 0.427555093f, 0.903989293f, 0.416429560f, 0.909167983f, 0.405241314f, 0.914209756f, 0.393992040f, 0.919113852f, 0.382683432f, 0.923879533f, 0.371317194f, 0.928506080f, 0.359895037f, 0.932992799f, 0.348418680f, 0.937339012f, 0.336889853f, 0.941544065f, 0.325310292f, 0.945607325f, 0.313681740f, 0.949528181f, 0.302005949f, 0.953306040f, 0.290284677f, 0.956940336f, 0.278519689f, 0.960430519f, 0.266712757f, 0.963776066f, 0.254865660f, 0.966976471f, 0.242980180f, 0.970031253f, 0.231058108f, 0.972939952f, 0.219101240f, 0.975702130f, 0.207111376f, 0.978317371f, 0.195090322f, 0.980785280f, 0.183039888f, 0.983105487f, 0.170961889f, 0.985277642f, 0.158858143f, 0.987301418f, 0.146730474f, 0.989176510f, 0.134580709f, 0.990902635f, 0.122410675f, 0.992479535f, 0.110222207f, 0.993906970f, 0.098017140f, 0.995184727f, 0.085797312f, 0.996312612f, 0.073564564f, 0.997290457f, 0.061320736f, 0.998118113f, 0.049067674f, 0.998795456f, 0.036807223f, 0.999322385f, 0.024541229f, 0.999698819f, 0.012271538f, 0.999924702f, 0.000000000f, 1.000000000f, -0.012271538f, 0.999924702f, -0.024541229f, 0.999698819f, -0.036807223f, 0.999322385f, -0.049067674f, 0.998795456f, -0.061320736f, 0.998118113f, -0.073564564f, 0.997290457f, -0.085797312f, 0.996312612f, -0.098017140f, 0.995184727f, -0.110222207f, 0.993906970f, -0.122410675f, 0.992479535f, -0.134580709f, 0.990902635f, -0.146730474f, 0.989176510f, -0.158858143f, 0.987301418f, -0.170961889f, 0.985277642f, -0.183039888f, 0.983105487f, -0.195090322f, 0.980785280f, -0.207111376f, 0.978317371f, -0.219101240f, 0.975702130f, -0.231058108f, 0.972939952f, -0.242980180f, 0.970031253f, -0.254865660f, 0.966976471f, -0.266712757f, 0.963776066f, -0.278519689f, 0.960430519f, -0.290284677f, 0.956940336f, -0.302005949f, 0.953306040f, -0.313681740f, 0.949528181f, -0.325310292f, 0.945607325f, -0.336889853f, 0.941544065f, -0.348418680f, 0.937339012f, -0.359895037f, 0.932992799f, -0.371317194f, 0.928506080f, -0.382683432f, 0.923879533f, -0.393992040f, 0.919113852f, -0.405241314f, 0.914209756f, -0.416429560f, 0.909167983f, -0.427555093f, 0.903989293f, -0.438616239f, 0.898674466f, -0.449611330f, 0.893224301f, 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0.624859488f, -0.788346428f, 0.615231591f, -0.795836905f, 0.605511041f, -0.803207531f, 0.595699304f, -0.810457198f, 0.585797857f, -0.817584813f, 0.575808191f, -0.824589303f, 0.565731811f, -0.831469612f, 0.555570233f, -0.838224706f, 0.545324988f, -0.844853565f, 0.534997620f, -0.851355193f, 0.524589683f, -0.857728610f, 0.514102744f, -0.863972856f, 0.503538384f, -0.870086991f, 0.492898192f, -0.876070094f, 0.482183772f, -0.881921264f, 0.471396737f, -0.887639620f, 0.460538711f, -0.893224301f, 0.449611330f, -0.898674466f, 0.438616239f, -0.903989293f, 0.427555093f, -0.909167983f, 0.416429560f, -0.914209756f, 0.405241314f, -0.919113852f, 0.393992040f, -0.923879533f, 0.382683432f, -0.928506080f, 0.371317194f, -0.932992799f, 0.359895037f, -0.937339012f, 0.348418680f, -0.941544065f, 0.336889853f, -0.945607325f, 0.325310292f, -0.949528181f, 0.313681740f, -0.953306040f, 0.302005949f, -0.956940336f, 0.290284677f, -0.960430519f, 0.278519689f, -0.963776066f, 0.266712757f, -0.966976471f, 0.254865660f, 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-0.482183772f, 0.881921264f, -0.471396737f, 0.887639620f, -0.460538711f, 0.893224301f, -0.449611330f, 0.898674466f, -0.438616239f, 0.903989293f, -0.427555093f, 0.909167983f, -0.416429560f, 0.914209756f, -0.405241314f, 0.919113852f, -0.393992040f, 0.923879533f, -0.382683432f, 0.928506080f, -0.371317194f, 0.932992799f, -0.359895037f, 0.937339012f, -0.348418680f, 0.941544065f, -0.336889853f, 0.945607325f, -0.325310292f, 0.949528181f, -0.313681740f, 0.953306040f, -0.302005949f, 0.956940336f, -0.290284677f, 0.960430519f, -0.278519689f, 0.963776066f, -0.266712757f, 0.966976471f, -0.254865660f, 0.970031253f, -0.242980180f, 0.972939952f, -0.231058108f, 0.975702130f, -0.219101240f, 0.978317371f, -0.207111376f, 0.980785280f, -0.195090322f, 0.983105487f, -0.183039888f, 0.985277642f, -0.170961889f, 0.987301418f, -0.158858143f, 0.989176510f, -0.146730474f, 0.990902635f, -0.134580709f, 0.992479535f, -0.122410675f, 0.993906970f, -0.110222207f, 0.995184727f, -0.098017140f, 0.996312612f, -0.085797312f, 0.997290457f, -0.073564564f, 0.998118113f, -0.061320736f, 0.998795456f, -0.049067674f, 0.999322385f, -0.036807223f, 0.999698819f, -0.024541229f, 0.999924702f, -0.012271538f }; /** * \par * Example code for Floating-point Twiddle factors Generation: * \par *
for(i = 0; i< N/; i++) * { * twiddleCoef[2*i]= cos(i * 2*PI/(float)N); * twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N); * }* \par * where N = 4096 and PI = 3.14159265358979 * \par * Cos and Sin values are in interleaved fashion * */ const float32_t twiddleCoef_1024[2048] = { 1.000000000f , 0.000000000f , 0.999981175f , 0.006135885f , 0.999924702f , 0.012271538f , 0.999830582f , 0.018406730f , 0.999698819f , 0.024541229f , 0.999529418f , 0.030674803f , 0.999322385f , 0.036807223f , 0.999077728f , 0.042938257f , 0.998795456f , 0.049067674f , 0.998475581f , 0.055195244f , 0.998118113f , 0.061320736f , 0.997723067f , 0.067443920f , 0.997290457f , 0.073564564f , 0.996820299f , 0.079682438f , 0.996312612f , 0.085797312f , 0.995767414f , 0.091908956f , 0.995184727f , 0.098017140f , 0.994564571f , 0.104121634f , 0.993906970f , 0.110222207f , 0.993211949f , 0.116318631f , 0.992479535f , 0.122410675f , 0.991709754f , 0.128498111f , 0.990902635f , 0.134580709f , 0.990058210f , 0.140658239f , 0.989176510f , 0.146730474f , 0.988257568f , 0.152797185f , 0.987301418f , 0.158858143f , 0.986308097f , 0.164913120f , 0.985277642f , 0.170961889f , 0.984210092f , 0.177004220f , 0.983105487f , 0.183039888f , 0.981963869f , 0.189068664f , 0.980785280f , 0.195090322f , 0.979569766f , 0.201104635f , 0.978317371f , 0.207111376f , 0.977028143f , 0.213110320f , 0.975702130f , 0.219101240f , 0.974339383f , 0.225083911f , 0.972939952f , 0.231058108f , 0.971503891f , 0.237023606f , 0.970031253f , 0.242980180f , 0.968522094f , 0.248927606f , 0.966976471f , 0.254865660f , 0.965394442f , 0.260794118f , 0.963776066f , 0.266712757f , 0.962121404f , 0.272621355f , 0.960430519f , 0.278519689f , 0.958703475f , 0.284407537f , 0.956940336f , 0.290284677f , 0.955141168f , 0.296150888f , 0.953306040f , 0.302005949f , 0.951435021f , 0.307849640f , 0.949528181f , 0.313681740f , 0.947585591f , 0.319502031f , 0.945607325f , 0.325310292f , 0.943593458f , 0.331106306f , 0.941544065f , 0.336889853f , 0.939459224f , 0.342660717f , 0.937339012f , 0.348418680f , 0.935183510f , 0.354163525f , 0.932992799f , 0.359895037f , 0.930766961f , 0.365612998f , 0.928506080f , 0.371317194f , 0.926210242f , 0.377007410f , 0.923879533f , 0.382683432f , 0.921514039f , 0.388345047f , 0.919113852f , 0.393992040f , 0.916679060f , 0.399624200f , 0.914209756f , 0.405241314f , 0.911706032f , 0.410843171f , 0.909167983f , 0.416429560f , 0.906595705f , 0.422000271f , 0.903989293f , 0.427555093f , 0.901348847f , 0.433093819f , 0.898674466f , 0.438616239f , 0.895966250f , 0.444122145f , 0.893224301f , 0.449611330f , 0.890448723f , 0.455083587f , 0.887639620f , 0.460538711f , 0.884797098f , 0.465976496f , 0.881921264f , 0.471396737f , 0.879012226f , 0.476799230f , 0.876070094f , 0.482183772f , 0.873094978f , 0.487550160f , 0.870086991f , 0.492898192f , 0.867046246f , 0.498227667f , 0.863972856f , 0.503538384f , 0.860866939f , 0.508830143f , 0.857728610f , 0.514102744f , 0.854557988f , 0.519355990f , 0.851355193f , 0.524589683f , 0.848120345f , 0.529803625f , 0.844853565f , 0.534997620f , 0.841554977f , 0.540171473f , 0.838224706f , 0.545324988f , 0.834862875f , 0.550457973f , 0.831469612f , 0.555570233f , 0.828045045f , 0.560661576f , 0.824589303f , 0.565731811f , 0.821102515f , 0.570780746f , 0.817584813f , 0.575808191f , 0.814036330f , 0.580813958f , 0.810457198f , 0.585797857f , 0.806847554f , 0.590759702f , 0.803207531f , 0.595699304f , 0.799537269f , 0.600616479f , 0.795836905f , 0.605511041f , 0.792106577f , 0.610382806f , 0.788346428f , 0.615231591f , 0.784556597f , 0.620057212f , 0.780737229f , 0.624859488f , 0.776888466f , 0.629638239f , 0.773010453f , 0.634393284f , 0.769103338f , 0.639124445f , 0.765167266f , 0.643831543f , 0.761202385f , 0.648514401f , 0.757208847f , 0.653172843f , 0.753186799f , 0.657806693f , 0.749136395f , 0.662415778f , 0.745057785f , 0.666999922f , 0.740951125f , 0.671558955f , 0.736816569f , 0.676092704f , 0.732654272f , 0.680600998f , 0.728464390f , 0.685083668f , 0.724247083f , 0.689540545f , 0.720002508f , 0.693971461f , 0.715730825f , 0.698376249f , 0.711432196f , 0.702754744f , 0.707106781f , 0.707106781f , 0.702754744f , 0.711432196f , 0.698376249f , 0.715730825f , 0.693971461f , 0.720002508f , 0.689540545f , 0.724247083f , 0.685083668f , 0.728464390f , 0.680600998f , 0.732654272f , 0.676092704f , 0.736816569f , 0.671558955f , 0.740951125f , 0.666999922f , 0.745057785f , 0.662415778f , 0.749136395f , 0.657806693f , 0.753186799f , 0.653172843f , 0.757208847f , 0.648514401f , 0.761202385f , 0.643831543f , 0.765167266f , 0.639124445f , 0.769103338f , 0.634393284f , 0.773010453f , 0.629638239f , 0.776888466f , 0.624859488f , 0.780737229f , 0.620057212f , 0.784556597f , 0.615231591f , 0.788346428f , 0.610382806f , 0.792106577f , 0.605511041f , 0.795836905f , 0.600616479f , 0.799537269f , 0.595699304f , 0.803207531f , 0.590759702f , 0.806847554f , 0.585797857f , 0.810457198f , 0.580813958f , 0.814036330f , 0.575808191f , 0.817584813f , 0.570780746f , 0.821102515f , 0.565731811f , 0.824589303f , 0.560661576f , 0.828045045f , 0.555570233f , 0.831469612f , 0.550457973f , 0.834862875f , 0.545324988f , 0.838224706f , 0.540171473f , 0.841554977f , 0.534997620f , 0.844853565f , 0.529803625f , 0.848120345f , 0.524589683f , 0.851355193f , 0.519355990f , 0.854557988f , 0.514102744f , 0.857728610f , 0.508830143f , 0.860866939f , 0.503538384f , 0.863972856f , 0.498227667f , 0.867046246f , 0.492898192f , 0.870086991f , 0.487550160f , 0.873094978f , 0.482183772f , 0.876070094f , 0.476799230f , 0.879012226f , 0.471396737f , 0.881921264f , 0.465976496f , 0.884797098f , 0.460538711f , 0.887639620f , 0.455083587f , 0.890448723f , 0.449611330f , 0.893224301f , 0.444122145f , 0.895966250f , 0.438616239f , 0.898674466f , 0.433093819f , 0.901348847f , 0.427555093f , 0.903989293f , 0.422000271f , 0.906595705f , 0.416429560f , 0.909167983f , 0.410843171f , 0.911706032f , 0.405241314f , 0.914209756f , 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0.998475581f , -0.055195244f , 0.998795456f , -0.049067674f , 0.999077728f , -0.042938257f , 0.999322385f , -0.036807223f , 0.999529418f , -0.030674803f , 0.999698819f , -0.024541229f , 0.999830582f , -0.018406730f , 0.999924702f , -0.012271538f , 0.999981175f , -0.006135885f }; /** * \par * Example code for Floating-point Twiddle factors Generation: * \par *
for(i = 0; i< N/; i++) * { * twiddleCoef[2*i]= cos(i * 2*PI/(float)N); * twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N); * }* \par * where N = 4096 and PI = 3.14159265358979 * \par * Cos and Sin values are in interleaved fashion * */ const float32_t twiddleCoef_2048[4096] = { 1.000000000f, 0.000000000f, 0.999995294f, 0.003067957f, 0.999981175f, 0.006135885f, 0.999957645f, 0.009203755f, 0.999924702f, 0.012271538f, 0.999882347f, 0.015339206f, 0.999830582f, 0.018406730f, 0.999769405f, 0.021474080f, 0.999698819f, 0.024541229f, 0.999618822f, 0.027608146f, 0.999529418f, 0.030674803f, 0.999430605f, 0.033741172f, 0.999322385f, 0.036807223f, 0.999204759f, 0.039872928f, 0.999077728f, 0.042938257f, 0.998941293f, 0.046003182f, 0.998795456f, 0.049067674f, 0.998640218f, 0.052131705f, 0.998475581f, 0.055195244f, 0.998301545f, 0.058258265f, 0.998118113f, 0.061320736f, 0.997925286f, 0.064382631f, 0.997723067f, 0.067443920f, 0.997511456f, 0.070504573f, 0.997290457f, 0.073564564f, 0.997060070f, 0.076623861f, 0.996820299f, 0.079682438f, 0.996571146f, 0.082740265f, 0.996312612f, 0.085797312f, 0.996044701f, 0.088853553f, 0.995767414f, 0.091908956f, 0.995480755f, 0.094963495f, 0.995184727f, 0.098017140f, 0.994879331f, 0.101069863f, 0.994564571f, 0.104121634f, 0.994240449f, 0.107172425f, 0.993906970f, 0.110222207f, 0.993564136f, 0.113270952f, 0.993211949f, 0.116318631f, 0.992850414f, 0.119365215f, 0.992479535f, 0.122410675f, 0.992099313f, 0.125454983f, 0.991709754f, 0.128498111f, 0.991310860f, 0.131540029f, 0.990902635f, 0.134580709f, 0.990485084f, 0.137620122f, 0.990058210f, 0.140658239f, 0.989622017f, 0.143695033f, 0.989176510f, 0.146730474f, 0.988721692f, 0.149764535f, 0.988257568f, 0.152797185f, 0.987784142f, 0.155828398f, 0.987301418f, 0.158858143f, 0.986809402f, 0.161886394f, 0.986308097f, 0.164913120f, 0.985797509f, 0.167938295f, 0.985277642f, 0.170961889f, 0.984748502f, 0.173983873f, 0.984210092f, 0.177004220f, 0.983662419f, 0.180022901f, 0.983105487f, 0.183039888f, 0.982539302f, 0.186055152f, 0.981963869f, 0.189068664f, 0.981379193f, 0.192080397f, 0.980785280f, 0.195090322f, 0.980182136f, 0.198098411f, 0.979569766f, 0.201104635f, 0.978948175f, 0.204108966f, 0.978317371f, 0.207111376f, 0.977677358f, 0.210111837f, 0.977028143f, 0.213110320f, 0.976369731f, 0.216106797f, 0.975702130f, 0.219101240f, 0.975025345f, 0.222093621f, 0.974339383f, 0.225083911f, 0.973644250f, 0.228072083f, 0.972939952f, 0.231058108f, 0.972226497f, 0.234041959f, 0.971503891f, 0.237023606f, 0.970772141f, 0.240003022f, 0.970031253f, 0.242980180f, 0.969281235f, 0.245955050f, 0.968522094f, 0.248927606f, 0.967753837f, 0.251897818f, 0.966976471f, 0.254865660f, 0.966190003f, 0.257831102f, 0.965394442f, 0.260794118f, 0.964589793f, 0.263754679f, 0.963776066f, 0.266712757f, 0.962953267f, 0.269668326f, 0.962121404f, 0.272621355f, 0.961280486f, 0.275571819f, 0.960430519f, 0.278519689f, 0.959571513f, 0.281464938f, 0.958703475f, 0.284407537f, 0.957826413f, 0.287347460f, 0.956940336f, 0.290284677f, 0.956045251f, 0.293219163f, 0.955141168f, 0.296150888f, 0.954228095f, 0.299079826f, 0.953306040f, 0.302005949f, 0.952375013f, 0.304929230f, 0.951435021f, 0.307849640f, 0.950486074f, 0.310767153f, 0.949528181f, 0.313681740f, 0.948561350f, 0.316593376f, 0.947585591f, 0.319502031f, 0.946600913f, 0.322407679f, 0.945607325f, 0.325310292f, 0.944604837f, 0.328209844f, 0.943593458f, 0.331106306f, 0.942573198f, 0.333999651f, 0.941544065f, 0.336889853f, 0.940506071f, 0.339776884f, 0.939459224f, 0.342660717f, 0.938403534f, 0.345541325f, 0.937339012f, 0.348418680f, 0.936265667f, 0.351292756f, 0.935183510f, 0.354163525f, 0.934092550f, 0.357030961f, 0.932992799f, 0.359895037f, 0.931884266f, 0.362755724f, 0.930766961f, 0.365612998f, 0.929640896f, 0.368466830f, 0.928506080f, 0.371317194f, 0.927362526f, 0.374164063f, 0.926210242f, 0.377007410f, 0.925049241f, 0.379847209f, 0.923879533f, 0.382683432f, 0.922701128f, 0.385516054f, 0.921514039f, 0.388345047f, 0.920318277f, 0.391170384f, 0.919113852f, 0.393992040f, 0.917900776f, 0.396809987f, 0.916679060f, 0.399624200f, 0.915448716f, 0.402434651f, 0.914209756f, 0.405241314f, 0.912962190f, 0.408044163f, 0.911706032f, 0.410843171f, 0.910441292f, 0.413638312f, 0.909167983f, 0.416429560f, 0.907886116f, 0.419216888f, 0.906595705f, 0.422000271f, 0.905296759f, 0.424779681f, 0.903989293f, 0.427555093f, 0.902673318f, 0.430326481f, 0.901348847f, 0.433093819f, 0.900015892f, 0.435857080f, 0.898674466f, 0.438616239f, 0.897324581f, 0.441371269f, 0.895966250f, 0.444122145f, 0.894599486f, 0.446868840f, 0.893224301f, 0.449611330f, 0.891840709f, 0.452349587f, 0.890448723f, 0.455083587f, 0.889048356f, 0.457813304f, 0.887639620f, 0.460538711f, 0.886222530f, 0.463259784f, 0.884797098f, 0.465976496f, 0.883363339f, 0.468688822f, 0.881921264f, 0.471396737f, 0.880470889f, 0.474100215f, 0.879012226f, 0.476799230f, 0.877545290f, 0.479493758f, 0.876070094f, 0.482183772f, 0.874586652f, 0.484869248f, 0.873094978f, 0.487550160f, 0.871595087f, 0.490226483f, 0.870086991f, 0.492898192f, 0.868570706f, 0.495565262f, 0.867046246f, 0.498227667f, 0.865513624f, 0.500885383f, 0.863972856f, 0.503538384f, 0.862423956f, 0.506186645f, 0.860866939f, 0.508830143f, 0.859301818f, 0.511468850f, 0.857728610f, 0.514102744f, 0.856147328f, 0.516731799f, 0.854557988f, 0.519355990f, 0.852960605f, 0.521975293f, 0.851355193f, 0.524589683f, 0.849741768f, 0.527199135f, 0.848120345f, 0.529803625f, 0.846490939f, 0.532403128f, 0.844853565f, 0.534997620f, 0.843208240f, 0.537587076f, 0.841554977f, 0.540171473f, 0.839893794f, 0.542750785f, 0.838224706f, 0.545324988f, 0.836547727f, 0.547894059f, 0.834862875f, 0.550457973f, 0.833170165f, 0.553016706f, 0.831469612f, 0.555570233f, 0.829761234f, 0.558118531f, 0.828045045f, 0.560661576f, 0.826321063f, 0.563199344f, 0.824589303f, 0.565731811f, 0.822849781f, 0.568258953f, 0.821102515f, 0.570780746f, 0.819347520f, 0.573297167f, 0.817584813f, 0.575808191f, 0.815814411f, 0.578313796f, 0.814036330f, 0.580813958f, 0.812250587f, 0.583308653f, 0.810457198f, 0.585797857f, 0.808656182f, 0.588281548f, 0.806847554f, 0.590759702f, 0.805031331f, 0.593232295f, 0.803207531f, 0.595699304f, 0.801376172f, 0.598160707f, 0.799537269f, 0.600616479f, 0.797690841f, 0.603066599f, 0.795836905f, 0.605511041f, 0.793975478f, 0.607949785f, 0.792106577f, 0.610382806f, 0.790230221f, 0.612810082f, 0.788346428f, 0.615231591f, 0.786455214f, 0.617647308f, 0.784556597f, 0.620057212f, 0.782650596f, 0.622461279f, 0.780737229f, 0.624859488f, 0.778816512f, 0.627251815f, 0.776888466f, 0.629638239f, 0.774953107f, 0.632018736f, 0.773010453f, 0.634393284f, 0.771060524f, 0.636761861f, 0.769103338f, 0.639124445f, 0.767138912f, 0.641481013f, 0.765167266f, 0.643831543f, 0.763188417f, 0.646176013f, 0.761202385f, 0.648514401f, 0.759209189f, 0.650846685f, 0.757208847f, 0.653172843f, 0.755201377f, 0.655492853f, 0.753186799f, 0.657806693f, 0.751165132f, 0.660114342f, 0.749136395f, 0.662415778f, 0.747100606f, 0.664710978f, 0.745057785f, 0.666999922f, 0.743007952f, 0.669282588f, 0.740951125f, 0.671558955f, 0.738887324f, 0.673829000f, 0.736816569f, 0.676092704f, 0.734738878f, 0.678350043f, 0.732654272f, 0.680600998f, 0.730562769f, 0.682845546f, 0.728464390f, 0.685083668f, 0.726359155f, 0.687315341f, 0.724247083f, 0.689540545f, 0.722128194f, 0.691759258f, 0.720002508f, 0.693971461f, 0.717870045f, 0.696177131f, 0.715730825f, 0.698376249f, 0.713584869f, 0.700568794f, 0.711432196f, 0.702754744f, 0.709272826f, 0.704934080f, 0.707106781f, 0.707106781f, 0.704934080f, 0.709272826f, 0.702754744f, 0.711432196f, 0.700568794f, 0.713584869f, 0.698376249f, 0.715730825f, 0.696177131f, 0.717870045f, 0.693971461f, 0.720002508f, 0.691759258f, 0.722128194f, 0.689540545f, 0.724247083f, 0.687315341f, 0.726359155f, 0.685083668f, 0.728464390f, 0.682845546f, 0.730562769f, 0.680600998f, 0.732654272f, 0.678350043f, 0.734738878f, 0.676092704f, 0.736816569f, 0.673829000f, 0.738887324f, 0.671558955f, 0.740951125f, 0.669282588f, 0.743007952f, 0.666999922f, 0.745057785f, 0.664710978f, 0.747100606f, 0.662415778f, 0.749136395f, 0.660114342f, 0.751165132f, 0.657806693f, 0.753186799f, 0.655492853f, 0.755201377f, 0.653172843f, 0.757208847f, 0.650846685f, 0.759209189f, 0.648514401f, 0.761202385f, 0.646176013f, 0.763188417f, 0.643831543f, 0.765167266f, 0.641481013f, 0.767138912f, 0.639124445f, 0.769103338f, 0.636761861f, 0.771060524f, 0.634393284f, 0.773010453f, 0.632018736f, 0.774953107f, 0.629638239f, 0.776888466f, 0.627251815f, 0.778816512f, 0.624859488f, 0.780737229f, 0.622461279f, 0.782650596f, 0.620057212f, 0.784556597f, 0.617647308f, 0.786455214f, 0.615231591f, 0.788346428f, 0.612810082f, 0.790230221f, 0.610382806f, 0.792106577f, 0.607949785f, 0.793975478f, 0.605511041f, 0.795836905f, 0.603066599f, 0.797690841f, 0.600616479f, 0.799537269f, 0.598160707f, 0.801376172f, 0.595699304f, 0.803207531f, 0.593232295f, 0.805031331f, 0.590759702f, 0.806847554f, 0.588281548f, 0.808656182f, 0.585797857f, 0.810457198f, 0.583308653f, 0.812250587f, 0.580813958f, 0.814036330f, 0.578313796f, 0.815814411f, 0.575808191f, 0.817584813f, 0.573297167f, 0.819347520f, 0.570780746f, 0.821102515f, 0.568258953f, 0.822849781f, 0.565731811f, 0.824589303f, 0.563199344f, 0.826321063f, 0.560661576f, 0.828045045f, 0.558118531f, 0.829761234f, 0.555570233f, 0.831469612f, 0.553016706f, 0.833170165f, 0.550457973f, 0.834862875f, 0.547894059f, 0.836547727f, 0.545324988f, 0.838224706f, 0.542750785f, 0.839893794f, 0.540171473f, 0.841554977f, 0.537587076f, 0.843208240f, 0.534997620f, 0.844853565f, 0.532403128f, 0.846490939f, 0.529803625f, 0.848120345f, 0.527199135f, 0.849741768f, 0.524589683f, 0.851355193f, 0.521975293f, 0.852960605f, 0.519355990f, 0.854557988f, 0.516731799f, 0.856147328f, 0.514102744f, 0.857728610f, 0.511468850f, 0.859301818f, 0.508830143f, 0.860866939f, 0.506186645f, 0.862423956f, 0.503538384f, 0.863972856f, 0.500885383f, 0.865513624f, 0.498227667f, 0.867046246f, 0.495565262f, 0.868570706f, 0.492898192f, 0.870086991f, 0.490226483f, 0.871595087f, 0.487550160f, 0.873094978f, 0.484869248f, 0.874586652f, 0.482183772f, 0.876070094f, 0.479493758f, 0.877545290f, 0.476799230f, 0.879012226f, 0.474100215f, 0.880470889f, 0.471396737f, 0.881921264f, 0.468688822f, 0.883363339f, 0.465976496f, 0.884797098f, 0.463259784f, 0.886222530f, 0.460538711f, 0.887639620f, 0.457813304f, 0.889048356f, 0.455083587f, 0.890448723f, 0.452349587f, 0.891840709f, 0.449611330f, 0.893224301f, 0.446868840f, 0.894599486f, 0.444122145f, 0.895966250f, 0.441371269f, 0.897324581f, 0.438616239f, 0.898674466f, 0.435857080f, 0.900015892f, 0.433093819f, 0.901348847f, 0.430326481f, 0.902673318f, 0.427555093f, 0.903989293f, 0.424779681f, 0.905296759f, 0.422000271f, 0.906595705f, 0.419216888f, 0.907886116f, 0.416429560f, 0.909167983f, 0.413638312f, 0.910441292f, 0.410843171f, 0.911706032f, 0.408044163f, 0.912962190f, 0.405241314f, 0.914209756f, 0.402434651f, 0.915448716f, 0.399624200f, 0.916679060f, 0.396809987f, 0.917900776f, 0.393992040f, 0.919113852f, 0.391170384f, 0.920318277f, 0.388345047f, 0.921514039f, 0.385516054f, 0.922701128f, 0.382683432f, 0.923879533f, 0.379847209f, 0.925049241f, 0.377007410f, 0.926210242f, 0.374164063f, 0.927362526f, 0.371317194f, 0.928506080f, 0.368466830f, 0.929640896f, 0.365612998f, 0.930766961f, 0.362755724f, 0.931884266f, 0.359895037f, 0.932992799f, 0.357030961f, 0.934092550f, 0.354163525f, 0.935183510f, 0.351292756f, 0.936265667f, 0.348418680f, 0.937339012f, 0.345541325f, 0.938403534f, 0.342660717f, 0.939459224f, 0.339776884f, 0.940506071f, 0.336889853f, 0.941544065f, 0.333999651f, 0.942573198f, 0.331106306f, 0.943593458f, 0.328209844f, 0.944604837f, 0.325310292f, 0.945607325f, 0.322407679f, 0.946600913f, 0.319502031f, 0.947585591f, 0.316593376f, 0.948561350f, 0.313681740f, 0.949528181f, 0.310767153f, 0.950486074f, 0.307849640f, 0.951435021f, 0.304929230f, 0.952375013f, 0.302005949f, 0.953306040f, 0.299079826f, 0.954228095f, 0.296150888f, 0.955141168f, 0.293219163f, 0.956045251f, 0.290284677f, 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for(i = 0; i< N/; i++) * { * twiddleCoef[2*i]= cos(i * 2*PI/(float)N); * twiddleCoef[2*i+1]= sin(i * 2*PI/(float)N); * }* \par * where N = 4096 and PI = 3.14159265358979 * \par * Cos and Sin values are in interleaved fashion * */ const float32_t twiddleCoef_4096[8192] = { 1.000000000f, 0.000000000f, 0.999998823f, 0.001533980f, 0.999995294f, 0.003067957f, 0.999989411f, 0.004601926f, 0.999981175f, 0.006135885f, 0.999970586f, 0.007669829f, 0.999957645f, 0.009203755f, 0.999942350f, 0.010737659f, 0.999924702f, 0.012271538f, 0.999904701f, 0.013805389f, 0.999882347f, 0.015339206f, 0.999857641f, 0.016872988f, 0.999830582f, 0.018406730f, 0.999801170f, 0.019940429f, 0.999769405f, 0.021474080f, 0.999735288f, 0.023007681f, 0.999698819f, 0.024541229f, 0.999659997f, 0.026074718f, 0.999618822f, 0.027608146f, 0.999575296f, 0.029141509f, 0.999529418f, 0.030674803f, 0.999481187f, 0.032208025f, 0.999430605f, 0.033741172f, 0.999377670f, 0.035274239f, 0.999322385f, 0.036807223f, 0.999264747f, 0.038340120f, 0.999204759f, 0.039872928f, 0.999142419f, 0.041405641f, 0.999077728f, 0.042938257f, 0.999010686f, 0.044470772f, 0.998941293f, 0.046003182f, 0.998869550f, 0.047535484f, 0.998795456f, 0.049067674f, 0.998719012f, 0.050599749f, 0.998640218f, 0.052131705f, 0.998559074f, 0.053663538f, 0.998475581f, 0.055195244f, 0.998389737f, 0.056726821f, 0.998301545f, 0.058258265f, 0.998211003f, 0.059789571f, 0.998118113f, 0.061320736f, 0.998022874f, 0.062851758f, 0.997925286f, 0.064382631f, 0.997825350f, 0.065913353f, 0.997723067f, 0.067443920f, 0.997618435f, 0.068974328f, 0.997511456f, 0.070504573f, 0.997402130f, 0.072034653f, 0.997290457f, 0.073564564f, 0.997176437f, 0.075094301f, 0.997060070f, 0.076623861f, 0.996941358f, 0.078153242f, 0.996820299f, 0.079682438f, 0.996696895f, 0.081211447f, 0.996571146f, 0.082740265f, 0.996443051f, 0.084268888f, 0.996312612f, 0.085797312f, 0.996179829f, 0.087325535f, 0.996044701f, 0.088853553f, 0.995907229f, 0.090381361f, 0.995767414f, 0.091908956f, 0.995625256f, 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0.201104635f, 0.979260123f, 0.202607039f, 0.978948175f, 0.204108966f, 0.978633924f, 0.205610413f, 0.978317371f, 0.207111376f, 0.977998515f, 0.208611852f, 0.977677358f, 0.210111837f, 0.977353900f, 0.211611327f, 0.977028143f, 0.213110320f, 0.976700086f, 0.214608811f, 0.976369731f, 0.216106797f, 0.976037079f, 0.217604275f, 0.975702130f, 0.219101240f, 0.975364885f, 0.220597690f, 0.975025345f, 0.222093621f, 0.974683511f, 0.223589029f, 0.974339383f, 0.225083911f, 0.973992962f, 0.226578264f, 0.973644250f, 0.228072083f, 0.973293246f, 0.229565366f, 0.972939952f, 0.231058108f, 0.972584369f, 0.232550307f, 0.972226497f, 0.234041959f, 0.971866337f, 0.235533059f, 0.971503891f, 0.237023606f, 0.971139158f, 0.238513595f, 0.970772141f, 0.240003022f, 0.970402839f, 0.241491885f, 0.970031253f, 0.242980180f, 0.969657385f, 0.244467903f, 0.969281235f, 0.245955050f, 0.968902805f, 0.247441619f, 0.968522094f, 0.248927606f, 0.968139105f, 0.250413007f, 0.967753837f, 0.251897818f, 0.967366292f, 0.253382037f, 0.966976471f, 0.254865660f, 0.966584374f, 0.256348682f, 0.966190003f, 0.257831102f, 0.965793359f, 0.259312915f, 0.965394442f, 0.260794118f, 0.964993253f, 0.262274707f, 0.964589793f, 0.263754679f, 0.964184064f, 0.265234030f, 0.963776066f, 0.266712757f, 0.963365800f, 0.268190857f, 0.962953267f, 0.269668326f, 0.962538468f, 0.271145160f, 0.962121404f, 0.272621355f, 0.961702077f, 0.274096910f, 0.961280486f, 0.275571819f, 0.960856633f, 0.277046080f, 0.960430519f, 0.278519689f, 0.960002146f, 0.279992643f, 0.959571513f, 0.281464938f, 0.959138622f, 0.282936570f, 0.958703475f, 0.284407537f, 0.958266071f, 0.285877835f, 0.957826413f, 0.287347460f, 0.957384501f, 0.288816408f, 0.956940336f, 0.290284677f, 0.956493919f, 0.291752263f, 0.956045251f, 0.293219163f, 0.955594334f, 0.294685372f, 0.955141168f, 0.296150888f, 0.954685755f, 0.297615707f, 0.954228095f, 0.299079826f, 0.953768190f, 0.300543241f, 0.953306040f, 0.302005949f, 0.952841648f, 0.303467947f, 0.952375013f, 0.304929230f, 0.951906137f, 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0.933543773f, 0.358463421f, 0.932992799f, 0.359895037f, 0.932439629f, 0.361325806f, 0.931884266f, 0.362755724f, 0.931326709f, 0.364184790f, 0.930766961f, 0.365612998f, 0.930205023f, 0.367040346f, 0.929640896f, 0.368466830f, 0.929074581f, 0.369892447f, 0.928506080f, 0.371317194f, 0.927935395f, 0.372741067f, 0.927362526f, 0.374164063f, 0.926787474f, 0.375586178f, 0.926210242f, 0.377007410f, 0.925630831f, 0.378427755f, 0.925049241f, 0.379847209f, 0.924465474f, 0.381265769f, 0.923879533f, 0.382683432f, 0.923291417f, 0.384100195f, 0.922701128f, 0.385516054f, 0.922108669f, 0.386931006f, 0.921514039f, 0.388345047f, 0.920917242f, 0.389758174f, 0.920318277f, 0.391170384f, 0.919717146f, 0.392581674f, 0.919113852f, 0.393992040f, 0.918508394f, 0.395401479f, 0.917900776f, 0.396809987f, 0.917290997f, 0.398217562f, 0.916679060f, 0.399624200f, 0.916064966f, 0.401029897f, 0.915448716f, 0.402434651f, 0.914830312f, 0.403838458f, 0.914209756f, 0.405241314f, 0.913587048f, 0.406643217f, 0.912962190f, 0.408044163f, 0.912335185f, 0.409444149f, 0.911706032f, 0.410843171f, 0.911074734f, 0.412241227f, 0.910441292f, 0.413638312f, 0.909805708f, 0.415034424f, 0.909167983f, 0.416429560f, 0.908528119f, 0.417823716f, 0.907886116f, 0.419216888f, 0.907241978f, 0.420609074f, 0.906595705f, 0.422000271f, 0.905947298f, 0.423390474f, 0.905296759f, 0.424779681f, 0.904644091f, 0.426167889f, 0.903989293f, 0.427555093f, 0.903332368f, 0.428941292f, 0.902673318f, 0.430326481f, 0.902012144f, 0.431710658f, 0.901348847f, 0.433093819f, 0.900683429f, 0.434475961f, 0.900015892f, 0.435857080f, 0.899346237f, 0.437237174f, 0.898674466f, 0.438616239f, 0.898000580f, 0.439994271f, 0.897324581f, 0.441371269f, 0.896646470f, 0.442747228f, 0.895966250f, 0.444122145f, 0.895283921f, 0.445496017f, 0.894599486f, 0.446868840f, 0.893912945f, 0.448240612f, 0.893224301f, 0.449611330f, 0.892533555f, 0.450980989f, 0.891840709f, 0.452349587f, 0.891145765f, 0.453717121f, 0.890448723f, 0.455083587f, 0.889749586f, 0.456448982f, 0.889048356f, 0.457813304f, 0.888345033f, 0.459176548f, 0.887639620f, 0.460538711f, 0.886932119f, 0.461899791f, 0.886222530f, 0.463259784f, 0.885510856f, 0.464618686f, 0.884797098f, 0.465976496f, 0.884081259f, 0.467333209f, 0.883363339f, 0.468688822f, 0.882643340f, 0.470043332f, 0.881921264f, 0.471396737f, 0.881197113f, 0.472749032f, 0.880470889f, 0.474100215f, 0.879742593f, 0.475450282f, 0.879012226f, 0.476799230f, 0.878279792f, 0.478147056f, 0.877545290f, 0.479493758f, 0.876808724f, 0.480839331f, 0.876070094f, 0.482183772f, 0.875329403f, 0.483527079f, 0.874586652f, 0.484869248f, 0.873841843f, 0.486210276f, 0.873094978f, 0.487550160f, 0.872346059f, 0.488888897f, 0.871595087f, 0.490226483f, 0.870842063f, 0.491562916f, 0.870086991f, 0.492898192f, 0.869329871f, 0.494232309f, 0.868570706f, 0.495565262f, 0.867809497f, 0.496897049f, 0.867046246f, 0.498227667f, 0.866280954f, 0.499557113f, 0.865513624f, 0.500885383f, 0.864744258f, 0.502212474f, 0.863972856f, 0.503538384f, 0.863199422f, 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-0.133060525f, 0.991310860f, -0.131540029f, 0.991511473f, -0.130019223f, 0.991709754f, -0.128498111f, 0.991905700f, -0.126976696f, 0.992099313f, -0.125454983f, 0.992290591f, -0.123932975f, 0.992479535f, -0.122410675f, 0.992666142f, -0.120888087f, 0.992850414f, -0.119365215f, 0.993032350f, -0.117842062f, 0.993211949f, -0.116318631f, 0.993389211f, -0.114794927f, 0.993564136f, -0.113270952f, 0.993736722f, -0.111746711f, 0.993906970f, -0.110222207f, 0.994074879f, -0.108697444f, 0.994240449f, -0.107172425f, 0.994403680f, -0.105647154f, 0.994564571f, -0.104121634f, 0.994723121f, -0.102595869f, 0.994879331f, -0.101069863f, 0.995033199f, -0.099543619f, 0.995184727f, -0.098017140f, 0.995333912f, -0.096490431f, 0.995480755f, -0.094963495f, 0.995625256f, -0.093436336f, 0.995767414f, -0.091908956f, 0.995907229f, -0.090381361f, 0.996044701f, -0.088853553f, 0.996179829f, -0.087325535f, 0.996312612f, -0.085797312f, 0.996443051f, -0.084268888f, 0.996571146f, -0.082740265f, 0.996696895f, -0.081211447f, 0.996820299f, -0.079682438f, 0.996941358f, -0.078153242f, 0.997060070f, -0.076623861f, 0.997176437f, -0.075094301f, 0.997290457f, -0.073564564f, 0.997402130f, -0.072034653f, 0.997511456f, -0.070504573f, 0.997618435f, -0.068974328f, 0.997723067f, -0.067443920f, 0.997825350f, -0.065913353f, 0.997925286f, -0.064382631f, 0.998022874f, -0.062851758f, 0.998118113f, -0.061320736f, 0.998211003f, -0.059789571f, 0.998301545f, -0.058258265f, 0.998389737f, -0.056726821f, 0.998475581f, -0.055195244f, 0.998559074f, -0.053663538f, 0.998640218f, -0.052131705f, 0.998719012f, -0.050599749f, 0.998795456f, -0.049067674f, 0.998869550f, -0.047535484f, 0.998941293f, -0.046003182f, 0.999010686f, -0.044470772f, 0.999077728f, -0.042938257f, 0.999142419f, -0.041405641f, 0.999204759f, -0.039872928f, 0.999264747f, -0.038340120f, 0.999322385f, -0.036807223f, 0.999377670f, -0.035274239f, 0.999430605f, -0.033741172f, 0.999481187f, -0.032208025f, 0.999529418f, -0.030674803f, 0.999575296f, -0.029141509f, 0.999618822f, -0.027608146f, 0.999659997f, -0.026074718f, 0.999698819f, -0.024541229f, 0.999735288f, -0.023007681f, 0.999769405f, -0.021474080f, 0.999801170f, -0.019940429f, 0.999830582f, -0.018406730f, 0.999857641f, -0.016872988f, 0.999882347f, -0.015339206f, 0.999904701f, -0.013805389f, 0.999924702f, -0.012271538f, 0.999942350f, -0.010737659f, 0.999957645f, -0.009203755f, 0.999970586f, -0.007669829f, 0.999981175f, -0.006135885f, 0.999989411f, -0.004601926f, 0.999995294f, -0.003067957f, 0.999998823f, -0.001533980f }; /* * @brief Q31 Twiddle factors Table */ /** * \par * Example code for Q31 Twiddle factors Generation:: * \par *
for(i = 0; i< 3N/4; i++) * { * twiddleCoefQ31[2*i]= cos(i * 2*PI/(float)N); * twiddleCoefQ31[2*i+1]= sin(i * 2*PI/(float)N); * }* \par * where N = 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 twiddleCoefQ31[6144] = { 0x7fffffff, 0x0, 0x7ffff621, 0x3243f5, 0x7fffd886, 0x6487e3, 0x7fffa72c, 0x96cbc1, 0x7fff6216, 0xc90f88, 0x7fff0943, 0xfb5330, 0x7ffe9cb2, 0x12d96b1, 0x7ffe1c65, 0x15fda03, 0x7ffd885a, 0x1921d20, 0x7ffce093, 0x1c45ffe, 0x7ffc250f, 0x1f6a297, 0x7ffb55ce, 0x228e4e2, 0x7ffa72d1, 0x25b26d7, 0x7ff97c18, 0x28d6870, 0x7ff871a2, 0x2bfa9a4, 0x7ff75370, 0x2f1ea6c, 0x7ff62182, 0x3242abf, 0x7ff4dbd9, 0x3566a96, 0x7ff38274, 0x388a9ea, 0x7ff21553, 0x3bae8b2, 0x7ff09478, 0x3ed26e6, 0x7feeffe1, 0x41f6480, 0x7fed5791, 0x451a177, 0x7feb9b85, 0x483ddc3, 0x7fe9cbc0, 0x4b6195d, 0x7fe7e841, 0x4e8543e, 0x7fe5f108, 0x51a8e5c, 0x7fe3e616, 0x54cc7b1, 0x7fe1c76b, 0x57f0035, 0x7fdf9508, 0x5b137df, 0x7fdd4eec, 0x5e36ea9, 0x7fdaf519, 0x615a48b, 0x7fd8878e, 0x647d97c, 0x7fd6064c, 0x67a0d76, 0x7fd37153, 0x6ac406f, 0x7fd0c8a3, 0x6de7262, 0x7fce0c3e, 0x710a345, 0x7fcb3c23, 0x742d311, 0x7fc85854, 0x77501be, 0x7fc560cf, 0x7a72f45, 0x7fc25596, 0x7d95b9e, 0x7fbf36aa, 0x80b86c2, 0x7fbc040a, 0x83db0a7, 0x7fb8bdb8, 0x86fd947, 0x7fb563b3, 0x8a2009a, 0x7fb1f5fc, 0x8d42699, 0x7fae7495, 0x9064b3a, 0x7faadf7c, 0x9386e78, 0x7fa736b4, 0x96a9049, 0x7fa37a3c, 0x99cb0a7, 0x7f9faa15, 0x9cecf89, 0x7f9bc640, 0xa00ece8, 0x7f97cebd, 0xa3308bd, 0x7f93c38c, 0xa6522fe, 0x7f8fa4b0, 0xa973ba5, 0x7f8b7227, 0xac952aa, 0x7f872bf3, 0xafb6805, 0x7f82d214, 0xb2d7baf, 0x7f7e648c, 0xb5f8d9f, 0x7f79e35a, 0xb919dcf, 0x7f754e80, 0xbc3ac35, 0x7f70a5fe, 0xbf5b8cb, 0x7f6be9d4, 0xc27c389, 0x7f671a05, 0xc59cc68, 0x7f62368f, 0xc8bd35e, 0x7f5d3f75, 0xcbdd865, 0x7f5834b7, 0xcefdb76, 0x7f531655, 0xd21dc87, 0x7f4de451, 0xd53db92, 0x7f489eaa, 0xd85d88f, 0x7f434563, 0xdb7d376, 0x7f3dd87c, 0xde9cc40, 0x7f3857f6, 0xe1bc2e4, 0x7f32c3d1, 0xe4db75b, 0x7f2d1c0e, 0xe7fa99e, 0x7f2760af, 0xeb199a4, 0x7f2191b4, 0xee38766, 0x7f1baf1e, 0xf1572dc, 0x7f15b8ee, 0xf475bff, 0x7f0faf25, 0xf7942c7, 0x7f0991c4, 0xfab272b, 0x7f0360cb, 0xfdd0926, 0x7efd1c3c, 0x100ee8ad, 0x7ef6c418, 0x1040c5bb, 0x7ef05860, 0x1072a048, 0x7ee9d914, 0x10a4784b, 0x7ee34636, 0x10d64dbd, 0x7edc9fc6, 0x11082096, 0x7ed5e5c6, 0x1139f0cf, 0x7ecf1837, 0x116bbe60, 0x7ec8371a, 0x119d8941, 0x7ec14270, 0x11cf516a, 0x7eba3a39, 0x120116d5, 0x7eb31e78, 0x1232d979, 0x7eabef2c, 0x1264994e, 0x7ea4ac58, 0x1296564d, 0x7e9d55fc, 0x12c8106f, 0x7e95ec1a, 0x12f9c7aa, 0x7e8e6eb2, 0x132b7bf9, 0x7e86ddc6, 0x135d2d53, 0x7e7f3957, 0x138edbb1, 0x7e778166, 0x13c0870a, 0x7e6fb5f4, 0x13f22f58, 0x7e67d703, 0x1423d492, 0x7e5fe493, 0x145576b1, 0x7e57dea7, 0x148715ae, 0x7e4fc53e, 0x14b8b17f, 0x7e47985b, 0x14ea4a1f, 0x7e3f57ff, 0x151bdf86, 0x7e37042a, 0x154d71aa, 0x7e2e9cdf, 0x157f0086, 0x7e26221f, 0x15b08c12, 0x7e1d93ea, 0x15e21445, 0x7e14f242, 0x16139918, 0x7e0c3d29, 0x16451a83, 0x7e0374a0, 0x1676987f, 0x7dfa98a8, 0x16a81305, 0x7df1a942, 0x16d98a0c, 0x7de8a670, 0x170afd8d, 0x7ddf9034, 0x173c6d80, 0x7dd6668f, 0x176dd9de, 0x7dcd2981, 0x179f429f, 0x7dc3d90d, 0x17d0a7bc, 0x7dba7534, 0x1802092c, 0x7db0fdf8, 0x183366e9, 0x7da77359, 0x1864c0ea, 0x7d9dd55a, 0x18961728, 0x7d9423fc, 0x18c7699b, 0x7d8a5f40, 0x18f8b83c, 0x7d808728, 0x192a0304, 0x7d769bb5, 0x195b49ea, 0x7d6c9ce9, 0x198c8ce7, 0x7d628ac6, 0x19bdcbf3, 0x7d58654d, 0x19ef0707, 0x7d4e2c7f, 0x1a203e1b, 0x7d43e05e, 0x1a517128, 0x7d3980ec, 0x1a82a026, 0x7d2f0e2b, 0x1ab3cb0d, 0x7d24881b, 0x1ae4f1d6, 0x7d19eebf, 0x1b161479, 0x7d0f4218, 0x1b4732ef, 0x7d048228, 0x1b784d30, 0x7cf9aef0, 0x1ba96335, 0x7ceec873, 0x1bda74f6, 0x7ce3ceb2, 0x1c0b826a, 0x7cd8c1ae, 0x1c3c8b8c, 0x7ccda169, 0x1c6d9053, 0x7cc26de5, 0x1c9e90b8, 0x7cb72724, 0x1ccf8cb3, 0x7cabcd28, 0x1d00843d, 0x7ca05ff1, 0x1d31774d, 0x7c94df83, 0x1d6265dd, 0x7c894bde, 0x1d934fe5, 0x7c7da505, 0x1dc4355e, 0x7c71eaf9, 0x1df5163f, 0x7c661dbc, 0x1e25f282, 0x7c5a3d50, 0x1e56ca1e, 0x7c4e49b7, 0x1e879d0d, 0x7c4242f2, 0x1eb86b46, 0x7c362904, 0x1ee934c3, 0x7c29fbee, 0x1f19f97b, 0x7c1dbbb3, 0x1f4ab968, 0x7c116853, 0x1f7b7481, 0x7c0501d2, 0x1fac2abf, 0x7bf88830, 0x1fdcdc1b, 0x7bebfb70, 0x200d888d, 0x7bdf5b94, 0x203e300d, 0x7bd2a89e, 0x206ed295, 0x7bc5e290, 0x209f701c, 0x7bb9096b, 0x20d0089c, 0x7bac1d31, 0x21009c0c, 0x7b9f1de6, 0x21312a65, 0x7b920b89, 0x2161b3a0, 0x7b84e61f, 0x219237b5, 0x7b77ada8, 0x21c2b69c, 0x7b6a6227, 0x21f3304f, 0x7b5d039e, 0x2223a4c5, 0x7b4f920e, 0x225413f8, 0x7b420d7a, 0x22847de0, 0x7b3475e5, 0x22b4e274, 0x7b26cb4f, 0x22e541af, 0x7b190dbc, 0x23159b88, 0x7b0b3d2c, 0x2345eff8, 0x7afd59a4, 0x23763ef7, 0x7aef6323, 0x23a6887f, 0x7ae159ae, 0x23d6cc87, 0x7ad33d45, 0x24070b08, 0x7ac50dec, 0x243743fa, 0x7ab6cba4, 0x24677758, 0x7aa8766f, 0x2497a517, 0x7a9a0e50, 0x24c7cd33, 0x7a8b9348, 0x24f7efa2, 0x7a7d055b, 0x25280c5e, 0x7a6e648a, 0x2558235f, 0x7a5fb0d8, 0x2588349d, 0x7a50ea47, 0x25b84012, 0x7a4210d8, 0x25e845b6, 0x7a332490, 0x26184581, 0x7a24256f, 0x26483f6c, 0x7a151378, 0x26783370, 0x7a05eead, 0x26a82186, 0x79f6b711, 0x26d809a5, 0x79e76ca7, 0x2707ebc7, 0x79d80f6f, 0x2737c7e3, 0x79c89f6e, 0x27679df4, 0x79b91ca4, 0x27976df1, 0x79a98715, 0x27c737d3, 0x7999dec4, 0x27f6fb92, 0x798a23b1, 0x2826b928, 0x797a55e0, 0x2856708d, 0x796a7554, 0x288621b9, 0x795a820e, 0x28b5cca5, 0x794a7c12, 0x28e5714b, 0x793a6361, 0x29150fa1, 0x792a37fe, 0x2944a7a2, 0x7919f9ec, 0x29743946, 0x7909a92d, 0x29a3c485, 0x78f945c3, 0x29d34958, 0x78e8cfb2, 0x2a02c7b8, 0x78d846fb, 0x2a323f9e, 0x78c7aba2, 0x2a61b101, 0x78b6fda8, 0x2a911bdc, 0x78a63d11, 0x2ac08026, 0x789569df, 0x2aefddd8, 0x78848414, 0x2b1f34eb, 0x78738bb3, 0x2b4e8558, 0x786280bf, 0x2b7dcf17, 0x7851633b, 0x2bad1221, 0x78403329, 0x2bdc4e6f, 0x782ef08b, 0x2c0b83fa, 0x781d9b65, 0x2c3ab2b9, 0x780c33b8, 0x2c69daa6, 0x77fab989, 0x2c98fbba, 0x77e92cd9, 0x2cc815ee, 0x77d78daa, 0x2cf72939, 0x77c5dc01, 0x2d263596, 0x77b417df, 0x2d553afc, 0x77a24148, 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0x8098e5fb, 0xc59cc68, 0x8094162c, 0xc27c389, 0x808f5a02, 0xbf5b8cb, 0x808ab180, 0xbc3ac35, 0x80861ca6, 0xb919dcf, 0x80819b74, 0xb5f8d9f, 0x807d2dec, 0xb2d7baf, 0x8078d40d, 0xafb6805, 0x80748dd9, 0xac952aa, 0x80705b50, 0xa973ba5, 0x806c3c74, 0xa6522fe, 0x80683143, 0xa3308bd, 0x806439c0, 0xa00ece8, 0x806055eb, 0x9cecf89, 0x805c85c4, 0x99cb0a7, 0x8058c94c, 0x96a9049, 0x80552084, 0x9386e78, 0x80518b6b, 0x9064b3a, 0x804e0a04, 0x8d42699, 0x804a9c4d, 0x8a2009a, 0x80474248, 0x86fd947, 0x8043fbf6, 0x83db0a7, 0x8040c956, 0x80b86c2, 0x803daa6a, 0x7d95b9e, 0x803a9f31, 0x7a72f45, 0x8037a7ac, 0x77501be, 0x8034c3dd, 0x742d311, 0x8031f3c2, 0x710a345, 0x802f375d, 0x6de7262, 0x802c8ead, 0x6ac406f, 0x8029f9b4, 0x67a0d76, 0x80277872, 0x647d97c, 0x80250ae7, 0x615a48b, 0x8022b114, 0x5e36ea9, 0x80206af8, 0x5b137df, 0x801e3895, 0x57f0035, 0x801c19ea, 0x54cc7b1, 0x801a0ef8, 0x51a8e5c, 0x801817bf, 0x4e8543e, 0x80163440, 0x4b6195d, 0x8014647b, 0x483ddc3, 0x8012a86f, 0x451a177, 0x8011001f, 0x41f6480, 0x800f6b88, 0x3ed26e6, 0x800deaad, 0x3bae8b2, 0x800c7d8c, 0x388a9ea, 0x800b2427, 0x3566a96, 0x8009de7e, 0x3242abf, 0x8008ac90, 0x2f1ea6c, 0x80078e5e, 0x2bfa9a4, 0x800683e8, 0x28d6870, 0x80058d2f, 0x25b26d7, 0x8004aa32, 0x228e4e2, 0x8003daf1, 0x1f6a297, 0x80031f6d, 0x1c45ffe, 0x800277a6, 0x1921d20, 0x8001e39b, 0x15fda03, 0x8001634e, 0x12d96b1, 0x8000f6bd, 0xfb5330, 0x80009dea, 0xc90f88, 0x800058d4, 0x96cbc1, 0x8000277a, 0x6487e3, 0x800009df, 0x3243f5, 0x80000000, 0x0, 0x800009df, 0xffcdbc0b, 0x8000277a, 0xff9b781d, 0x800058d4, 0xff69343f, 0x80009dea, 0xff36f078, 0x8000f6bd, 0xff04acd0, 0x8001634e, 0xfed2694f, 0x8001e39b, 0xfea025fd, 0x800277a6, 0xfe6de2e0, 0x80031f6d, 0xfe3ba002, 0x8003daf1, 0xfe095d69, 0x8004aa32, 0xfdd71b1e, 0x80058d2f, 0xfda4d929, 0x800683e8, 0xfd729790, 0x80078e5e, 0xfd40565c, 0x8008ac90, 0xfd0e1594, 0x8009de7e, 0xfcdbd541, 0x800b2427, 0xfca9956a, 0x800c7d8c, 0xfc775616, 0x800deaad, 0xfc45174e, 0x800f6b88, 0xfc12d91a, 0x8011001f, 0xfbe09b80, 0x8012a86f, 0xfbae5e89, 0x8014647b, 0xfb7c223d, 0x80163440, 0xfb49e6a3, 0x801817bf, 0xfb17abc2, 0x801a0ef8, 0xfae571a4, 0x801c19ea, 0xfab3384f, 0x801e3895, 0xfa80ffcb, 0x80206af8, 0xfa4ec821, 0x8022b114, 0xfa1c9157, 0x80250ae7, 0xf9ea5b75, 0x80277872, 0xf9b82684, 0x8029f9b4, 0xf985f28a, 0x802c8ead, 0xf953bf91, 0x802f375d, 0xf9218d9e, 0x8031f3c2, 0xf8ef5cbb, 0x8034c3dd, 0xf8bd2cef, 0x8037a7ac, 0xf88afe42, 0x803a9f31, 0xf858d0bb, 0x803daa6a, 0xf826a462, 0x8040c956, 0xf7f4793e, 0x8043fbf6, 0xf7c24f59, 0x80474248, 0xf79026b9, 0x804a9c4d, 0xf75dff66, 0x804e0a04, 0xf72bd967, 0x80518b6b, 0xf6f9b4c6, 0x80552084, 0xf6c79188, 0x8058c94c, 0xf6956fb7, 0x805c85c4, 0xf6634f59, 0x806055eb, 0xf6313077, 0x806439c0, 0xf5ff1318, 0x80683143, 0xf5ccf743, 0x806c3c74, 0xf59add02, 0x80705b50, 0xf568c45b, 0x80748dd9, 0xf536ad56, 0x8078d40d, 0xf50497fb, 0x807d2dec, 0xf4d28451, 0x80819b74, 0xf4a07261, 0x80861ca6, 0xf46e6231, 0x808ab180, 0xf43c53cb, 0x808f5a02, 0xf40a4735, 0x8094162c, 0xf3d83c77, 0x8098e5fb, 0xf3a63398, 0x809dc971, 0xf3742ca2, 0x80a2c08b, 0xf342279b, 0x80a7cb49, 0xf310248a, 0x80ace9ab, 0xf2de2379, 0x80b21baf, 0xf2ac246e, 0x80b76156, 0xf27a2771, 0x80bcba9d, 0xf2482c8a, 0x80c22784, 0xf21633c0, 0x80c7a80a, 0xf1e43d1c, 0x80cd3c2f, 0xf1b248a5, 0x80d2e3f2, 0xf1805662, 0x80d89f51, 0xf14e665c, 0x80de6e4c, 0xf11c789a, 0x80e450e2, 0xf0ea8d24, 0x80ea4712, 0xf0b8a401, 0x80f050db, 0xf086bd39, 0x80f66e3c, 0xf054d8d5, 0x80fc9f35, 0xf022f6da, 0x8102e3c4, 0xeff11753, 0x81093be8, 0xefbf3a45, 0x810fa7a0, 0xef8d5fb8, 0x811626ec, 0xef5b87b5, 0x811cb9ca, 0xef29b243, 0x8123603a, 0xeef7df6a, 0x812a1a3a, 0xeec60f31, 0x8130e7c9, 0xee9441a0, 0x8137c8e6, 0xee6276bf, 0x813ebd90, 0xee30ae96, 0x8145c5c7, 0xedfee92b, 0x814ce188, 0xedcd2687, 0x815410d4, 0xed9b66b2, 0x815b53a8, 0xed69a9b3, 0x8162aa04, 0xed37ef91, 0x816a13e6, 0xed063856, 0x8171914e, 0xecd48407, 0x8179223a, 0xeca2d2ad, 0x8180c6a9, 0xec71244f, 0x81887e9a, 0xec3f78f6, 0x81904a0c, 0xec0dd0a8, 0x819828fd, 0xebdc2b6e, 0x81a01b6d, 0xebaa894f, 0x81a82159, 0xeb78ea52, 0x81b03ac2, 0xeb474e81, 0x81b867a5, 0xeb15b5e1, 0x81c0a801, 0xeae4207a, 0x81c8fbd6, 0xeab28e56, 0x81d16321, 0xea80ff7a, 0x81d9dde1, 0xea4f73ee, 0x81e26c16, 0xea1debbb, 0x81eb0dbe, 0xe9ec66e8, 0x81f3c2d7, 0xe9bae57d, 0x81fc8b60, 0xe9896781, 0x82056758, 0xe957ecfb, 0x820e56be, 0xe92675f4, 0x82175990, 0xe8f50273, 0x82206fcc, 0xe8c39280, 0x82299971, 0xe8922622, 0x8232d67f, 0xe860bd61, 0x823c26f3, 0xe82f5844, 0x82458acc, 0xe7fdf6d4, 0x824f0208, 0xe7cc9917, 0x82588ca7, 0xe79b3f16, 0x82622aa6, 0xe769e8d8, 0x826bdc04, 0xe7389665, 0x8275a0c0, 0xe70747c4, 0x827f78d8, 0xe6d5fcfc, 0x8289644b, 0xe6a4b616, 0x82936317, 0xe6737319, 0x829d753a, 0xe642340d, 0x82a79ab3, 0xe610f8f9, 0x82b1d381, 0xe5dfc1e5, 0x82bc1fa2, 0xe5ae8ed8, 0x82c67f14, 0xe57d5fda, 0x82d0f1d5, 0xe54c34f3, 0x82db77e5, 0xe51b0e2a, 0x82e61141, 0xe4e9eb87, 0x82f0bde8, 0xe4b8cd11, 0x82fb7dd8, 0xe487b2d0, 0x83065110, 0xe4569ccb, 0x8311378d, 0xe4258b0a, 0x831c314e, 0xe3f47d96, 0x83273e52, 0xe3c37474, 0x83325e97, 0xe3926fad, 0x833d921b, 0xe3616f48, 0x8348d8dc, 0xe330734d, 0x835432d8, 0xe2ff7bc3, 0x835fa00f, 0xe2ce88b3, 0x836b207d, 0xe29d9a23, 0x8376b422, 0xe26cb01b, 0x83825afb, 0xe23bcaa2, 0x838e1507, 0xe20ae9c1, 0x8399e244, 0xe1da0d7e, 0x83a5c2b0, 0xe1a935e2, 0x83b1b649, 0xe17862f3, 0x83bdbd0e, 0xe14794ba, 0x83c9d6fc, 0xe116cb3d, 0x83d60412, 0xe0e60685, 0x83e2444d, 0xe0b54698, 0x83ee97ad, 0xe0848b7f, 0x83fafe2e, 0xe053d541, 0x840777d0, 0xe02323e5, 0x84140490, 0xdff27773, 0x8420a46c, 0xdfc1cff3, 0x842d5762, 0xdf912d6b, 0x843a1d70, 0xdf608fe4, 0x8446f695, 0xdf2ff764, 0x8453e2cf, 0xdeff63f4, 0x8460e21a, 0xdeced59b, 0x846df477, 0xde9e4c60, 0x847b19e1, 0xde6dc84b, 0x84885258, 0xde3d4964, 0x84959dd9, 0xde0ccfb1, 0x84a2fc62, 0xdddc5b3b, 0x84b06df2, 0xddabec08, 0x84bdf286, 0xdd7b8220, 0x84cb8a1b, 0xdd4b1d8c, 0x84d934b1, 0xdd1abe51, 0x84e6f244, 0xdcea6478, 0x84f4c2d4, 0xdcba1008, 0x8502a65c, 0xdc89c109, 0x85109cdd, 0xdc597781, 0x851ea652, 0xdc293379, 0x852cc2bb, 0xdbf8f4f8, 0x853af214, 0xdbc8bc06, 0x8549345c, 0xdb9888a8, 0x85578991, 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0x90b9cc7d, 0xc0e8b648, 0x90a0fd4e, 0xc1147764, 0x90883f4d, 0xc1404233, 0x906f927c, 0xc16c16b0, 0x9056f6df, 0xc197f4d4, 0x903e6c7b, 0xc1c3dc97, 0x9025f352, 0xc1efcdf3, 0x900d8b69, 0xc21bc8e1, 0x8ff534c4, 0xc247cd5a, 0x8fdcef66, 0xc273db58, 0x8fc4bb53, 0xc29ff2d4, 0x8fac988f, 0xc2cc13c7, 0x8f94871d, 0xc2f83e2a, 0x8f7c8701, 0xc32471f7, 0x8f649840, 0xc350af26, 0x8f4cbadb, 0xc37cf5b0, 0x8f34eed8, 0xc3a94590, 0x8f1d343a, 0xc3d59ebe, 0x8f058b04, 0xc4020133, 0x8eedf33b, 0xc42e6ce8, 0x8ed66ce1, 0xc45ae1d7, 0x8ebef7fb, 0xc4875ff9, 0x8ea7948c, 0xc4b3e746, 0x8e904298, 0xc4e077b8, 0x8e790222, 0xc50d1149, 0x8e61d32e, 0xc539b3f1, 0x8e4ab5bf, 0xc5665fa9, 0x8e33a9da, 0xc593146a, 0x8e1caf80, 0xc5bfd22e, 0x8e05c6b7, 0xc5ec98ee, 0x8deeef82, 0xc61968a2, 0x8dd829e4, 0xc6464144, 0x8dc175e0, 0xc67322ce, 0x8daad37b, 0xc6a00d37, 0x8d9442b8, 0xc6cd0079, 0x8d7dc399, 0xc6f9fc8d, 0x8d675623, 0xc727016d, 0x8d50fa59, 0xc7540f11, 0x8d3ab03f, 0xc7812572, 0x8d2477d8, 0xc7ae4489, 0x8d0e5127, 0xc7db6c50, 0x8cf83c30, 0xc8089cbf, 0x8ce238f6, 0xc835d5d0, 0x8ccc477d, 0xc863177b, 0x8cb667c8, 0xc89061ba, 0x8ca099da, 0xc8bdb485, 0x8c8addb7, 0xc8eb0fd6, 0x8c753362, 0xc91873a5, 0x8c5f9ade, 0xc945dfec, 0x8c4a142f, 0xc97354a4, 0x8c349f58, 0xc9a0d1c5, 0x8c1f3c5d, 0xc9ce5748, 0x8c09eb40, 0xc9fbe527, 0x8bf4ac05, 0xca297b5a, 0x8bdf7eb0, 0xca5719db, 0x8bca6343, 0xca84c0a3, 0x8bb559c1, 0xcab26fa9, 0x8ba0622f, 0xcae026e8, 0x8b8b7c8f, 0xcb0de658, 0x8b76a8e4, 0xcb3badf3, 0x8b61e733, 0xcb697db0, 0x8b4d377c, 0xcb97558a, 0x8b3899c6, 0xcbc53579, 0x8b240e11, 0xcbf31d75, 0x8b0f9462, 0xcc210d79, 0x8afb2cbb, 0xcc4f057c, 0x8ae6d720, 0xcc7d0578, 0x8ad29394, 0xccab0d65, 0x8abe6219, 0xccd91d3d, 0x8aaa42b4, 0xcd0734f9, 0x8a963567, 0xcd355491, 0x8a823a36, 0xcd637bfe, 0x8a6e5123, 0xcd91ab39, 0x8a5a7a31, 0xcdbfe23a, 0x8a46b564, 0xcdee20fc, 0x8a3302be, 0xce1c6777, 0x8a1f6243, 0xce4ab5a2, 0x8a0bd3f5, 0xce790b79, 0x89f857d8, 0xcea768f2, 0x89e4edef, 0xced5ce08, 0x89d1963c, 0xcf043ab3, 0x89be50c3, 0xcf32aeeb, 0x89ab1d87, 0xcf612aaa, 0x8997fc8a, 0xcf8fade9, 0x8984edcf, 0xcfbe389f, 0x8971f15a, 0xcfeccac7, 0x895f072e, 0xd01b6459, 0x894c2f4c, 0xd04a054e, 0x893969b9, 0xd078ad9e, 0x8926b677, 0xd0a75d42, 0x89141589, 0xd0d61434, 0x890186f2, 0xd104d26b, 0x88ef0ab4, 0xd13397e2, 0x88dca0d3, 0xd1626490, 0x88ca4951, 0xd191386e, 0x88b80432, 0xd1c01375, 0x88a5d177, 0xd1eef59e, 0x8893b125, 0xd21ddee2, 0x8881a33d, 0xd24ccf39, 0x886fa7c2, 0xd27bc69c, 0x885dbeb8, 0xd2aac504, 0x884be821, 0xd2d9ca6a, 0x883a23ff, 0xd308d6c7, 0x88287256, 0xd337ea12, 0x8816d327, 0xd3670446, 0x88054677, 0xd396255a, 0x87f3cc48, 0xd3c54d47, 0x87e2649b, 0xd3f47c06, 0x87d10f75, 0xd423b191, 0x87bfccd7, 0xd452eddf, 0x87ae9cc5, 0xd48230e9, 0x879d7f41, 0xd4b17aa8, 0x878c744d, 0xd4e0cb15, 0x877b7bec, 0xd5102228, 0x876a9621, 0xd53f7fda, 0x8759c2ef, 0xd56ee424, 0x87490258, 0xd59e4eff, 0x8738545e, 0xd5cdc062, 0x8727b905, 0xd5fd3848, 0x8717304e, 0xd62cb6a8, 0x8706ba3d, 0xd65c3b7b, 0x86f656d3, 0xd68bc6ba, 0x86e60614, 0xd6bb585e, 0x86d5c802, 0xd6eaf05f, 0x86c59c9f, 0xd71a8eb5, 0x86b583ee, 0xd74a335b, 0x86a57df2, 0xd779de47, 0x86958aac, 0xd7a98f73, 0x8685aa20, 0xd7d946d8, 0x8675dc4f, 0xd809046e, 0x8666213c, 0xd838c82d, 0x865678eb, 0xd868920f, 0x8646e35c, 0xd898620c, 0x86376092, 0xd8c8381d, 0x8627f091, 0xd8f81439, 0x86189359, 0xd927f65b, 0x860948ef, 0xd957de7a, 0x85fa1153, 0xd987cc90, 0x85eaec88, 0xd9b7c094, 0x85dbda91, 0xd9e7ba7f, 0x85ccdb70, 0xda17ba4a, 0x85bdef28, 0xda47bfee, 0x85af15b9, 0xda77cb63, 0x85a04f28, 0xdaa7dca1, 0x85919b76, 0xdad7f3a2, 0x8582faa5, 0xdb08105e, 0x85746cb8, 0xdb3832cd, 0x8565f1b0, 0xdb685ae9, 0x85578991, 0xdb9888a8, 0x8549345c, 0xdbc8bc06, 0x853af214, 0xdbf8f4f8, 0x852cc2bb, 0xdc293379, 0x851ea652, 0xdc597781, 0x85109cdd, 0xdc89c109, 0x8502a65c, 0xdcba1008, 0x84f4c2d4, 0xdcea6478, 0x84e6f244, 0xdd1abe51, 0x84d934b1, 0xdd4b1d8c, 0x84cb8a1b, 0xdd7b8220, 0x84bdf286, 0xddabec08, 0x84b06df2, 0xdddc5b3b, 0x84a2fc62, 0xde0ccfb1, 0x84959dd9, 0xde3d4964, 0x84885258, 0xde6dc84b, 0x847b19e1, 0xde9e4c60, 0x846df477, 0xdeced59b, 0x8460e21a, 0xdeff63f4, 0x8453e2cf, 0xdf2ff764, 0x8446f695, 0xdf608fe4, 0x843a1d70, 0xdf912d6b, 0x842d5762, 0xdfc1cff3, 0x8420a46c, 0xdff27773, 0x84140490, 0xe02323e5, 0x840777d0, 0xe053d541, 0x83fafe2e, 0xe0848b7f, 0x83ee97ad, 0xe0b54698, 0x83e2444d, 0xe0e60685, 0x83d60412, 0xe116cb3d, 0x83c9d6fc, 0xe14794ba, 0x83bdbd0e, 0xe17862f3, 0x83b1b649, 0xe1a935e2, 0x83a5c2b0, 0xe1da0d7e, 0x8399e244, 0xe20ae9c1, 0x838e1507, 0xe23bcaa2, 0x83825afb, 0xe26cb01b, 0x8376b422, 0xe29d9a23, 0x836b207d, 0xe2ce88b3, 0x835fa00f, 0xe2ff7bc3, 0x835432d8, 0xe330734d, 0x8348d8dc, 0xe3616f48, 0x833d921b, 0xe3926fad, 0x83325e97, 0xe3c37474, 0x83273e52, 0xe3f47d96, 0x831c314e, 0xe4258b0a, 0x8311378d, 0xe4569ccb, 0x83065110, 0xe487b2d0, 0x82fb7dd8, 0xe4b8cd11, 0x82f0bde8, 0xe4e9eb87, 0x82e61141, 0xe51b0e2a, 0x82db77e5, 0xe54c34f3, 0x82d0f1d5, 0xe57d5fda, 0x82c67f14, 0xe5ae8ed8, 0x82bc1fa2, 0xe5dfc1e5, 0x82b1d381, 0xe610f8f9, 0x82a79ab3, 0xe642340d, 0x829d753a, 0xe6737319, 0x82936317, 0xe6a4b616, 0x8289644b, 0xe6d5fcfc, 0x827f78d8, 0xe70747c4, 0x8275a0c0, 0xe7389665, 0x826bdc04, 0xe769e8d8, 0x82622aa6, 0xe79b3f16, 0x82588ca7, 0xe7cc9917, 0x824f0208, 0xe7fdf6d4, 0x82458acc, 0xe82f5844, 0x823c26f3, 0xe860bd61, 0x8232d67f, 0xe8922622, 0x82299971, 0xe8c39280, 0x82206fcc, 0xe8f50273, 0x82175990, 0xe92675f4, 0x820e56be, 0xe957ecfb, 0x82056758, 0xe9896781, 0x81fc8b60, 0xe9bae57d, 0x81f3c2d7, 0xe9ec66e8, 0x81eb0dbe, 0xea1debbb, 0x81e26c16, 0xea4f73ee, 0x81d9dde1, 0xea80ff7a, 0x81d16321, 0xeab28e56, 0x81c8fbd6, 0xeae4207a, 0x81c0a801, 0xeb15b5e1, 0x81b867a5, 0xeb474e81, 0x81b03ac2, 0xeb78ea52, 0x81a82159, 0xebaa894f, 0x81a01b6d, 0xebdc2b6e, 0x819828fd, 0xec0dd0a8, 0x81904a0c, 0xec3f78f6, 0x81887e9a, 0xec71244f, 0x8180c6a9, 0xeca2d2ad, 0x8179223a, 0xecd48407, 0x8171914e, 0xed063856, 0x816a13e6, 0xed37ef91, 0x8162aa04, 0xed69a9b3, 0x815b53a8, 0xed9b66b2, 0x815410d4, 0xedcd2687, 0x814ce188, 0xedfee92b, 0x8145c5c7, 0xee30ae96, 0x813ebd90, 0xee6276bf, 0x8137c8e6, 0xee9441a0, 0x8130e7c9, 0xeec60f31, 0x812a1a3a, 0xeef7df6a, 0x8123603a, 0xef29b243, 0x811cb9ca, 0xef5b87b5, 0x811626ec, 0xef8d5fb8, 0x810fa7a0, 0xefbf3a45, 0x81093be8, 0xeff11753, 0x8102e3c4, 0xf022f6da, 0x80fc9f35, 0xf054d8d5, 0x80f66e3c, 0xf086bd39, 0x80f050db, 0xf0b8a401, 0x80ea4712, 0xf0ea8d24, 0x80e450e2, 0xf11c789a, 0x80de6e4c, 0xf14e665c, 0x80d89f51, 0xf1805662, 0x80d2e3f2, 0xf1b248a5, 0x80cd3c2f, 0xf1e43d1c, 0x80c7a80a, 0xf21633c0, 0x80c22784, 0xf2482c8a, 0x80bcba9d, 0xf27a2771, 0x80b76156, 0xf2ac246e, 0x80b21baf, 0xf2de2379, 0x80ace9ab, 0xf310248a, 0x80a7cb49, 0xf342279b, 0x80a2c08b, 0xf3742ca2, 0x809dc971, 0xf3a63398, 0x8098e5fb, 0xf3d83c77, 0x8094162c, 0xf40a4735, 0x808f5a02, 0xf43c53cb, 0x808ab180, 0xf46e6231, 0x80861ca6, 0xf4a07261, 0x80819b74, 0xf4d28451, 0x807d2dec, 0xf50497fb, 0x8078d40d, 0xf536ad56, 0x80748dd9, 0xf568c45b, 0x80705b50, 0xf59add02, 0x806c3c74, 0xf5ccf743, 0x80683143, 0xf5ff1318, 0x806439c0, 0xf6313077, 0x806055eb, 0xf6634f59, 0x805c85c4, 0xf6956fb7, 0x8058c94c, 0xf6c79188, 0x80552084, 0xf6f9b4c6, 0x80518b6b, 0xf72bd967, 0x804e0a04, 0xf75dff66, 0x804a9c4d, 0xf79026b9, 0x80474248, 0xf7c24f59, 0x8043fbf6, 0xf7f4793e, 0x8040c956, 0xf826a462, 0x803daa6a, 0xf858d0bb, 0x803a9f31, 0xf88afe42, 0x8037a7ac, 0xf8bd2cef, 0x8034c3dd, 0xf8ef5cbb, 0x8031f3c2, 0xf9218d9e, 0x802f375d, 0xf953bf91, 0x802c8ead, 0xf985f28a, 0x8029f9b4, 0xf9b82684, 0x80277872, 0xf9ea5b75, 0x80250ae7, 0xfa1c9157, 0x8022b114, 0xfa4ec821, 0x80206af8, 0xfa80ffcb, 0x801e3895, 0xfab3384f, 0x801c19ea, 0xfae571a4, 0x801a0ef8, 0xfb17abc2, 0x801817bf, 0xfb49e6a3, 0x80163440, 0xfb7c223d, 0x8014647b, 0xfbae5e89, 0x8012a86f, 0xfbe09b80, 0x8011001f, 0xfc12d91a, 0x800f6b88, 0xfc45174e, 0x800deaad, 0xfc775616, 0x800c7d8c, 0xfca9956a, 0x800b2427, 0xfcdbd541, 0x8009de7e, 0xfd0e1594, 0x8008ac90, 0xfd40565c, 0x80078e5e, 0xfd729790, 0x800683e8, 0xfda4d929, 0x80058d2f, 0xfdd71b1e, 0x8004aa32, 0xfe095d69, 0x8003daf1, 0xfe3ba002, 0x80031f6d, 0xfe6de2e0, 0x800277a6, 0xfea025fd, 0x8001e39b, 0xfed2694f, 0x8001634e, 0xff04acd0, 0x8000f6bd, 0xff36f078, 0x80009dea, 0xff69343f, 0x800058d4, 0xff9b781d, 0x8000277a, 0xffcdbc0b, 0x800009df, }; /* * @brief Q15 Twiddle factors Table */ /** * \par * Example code for Q15 Twiddle factors Generation:: * \par *
for(i = 0; i< 3N/4; i++) * { * twiddleCoefQ15[2*i]= cos(i * 2*PI/(float)N); * twiddleCoefQ15[2*i+1]= sin(i * 2*PI/(float)N); * }* \par * where N = 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 ALIGN4 twiddleCoefQ15[6144] = { 0x7fff, 0x0, 0x7fff, 0x32, 0x7fff, 0x65, 0x7fff, 0x97, 0x7fff, 0xc9, 0x7fff, 0xfb, 0x7fff, 0x12e, 0x7ffe, 0x160, 0x7ffe, 0x192, 0x7ffd, 0x1c4, 0x7ffc, 0x1f7, 0x7ffb, 0x229, 0x7ffa, 0x25b, 0x7ff9, 0x28d, 0x7ff8, 0x2c0, 0x7ff7, 0x2f2, 0x7ff6, 0x324, 0x7ff5, 0x356, 0x7ff4, 0x389, 0x7ff2, 0x3bb, 0x7ff1, 0x3ed, 0x7fef, 0x41f, 0x7fed, 0x452, 0x7fec, 0x484, 0x7fea, 0x4b6, 0x7fe8, 0x4e8, 0x7fe6, 0x51b, 0x7fe4, 0x54d, 0x7fe2, 0x57f, 0x7fe0, 0x5b1, 0x7fdd, 0x5e3, 0x7fdb, 0x616, 0x7fd9, 0x648, 0x7fd6, 0x67a, 0x7fd3, 0x6ac, 0x7fd1, 0x6de, 0x7fce, 0x711, 0x7fcb, 0x743, 0x7fc8, 0x775, 0x7fc5, 0x7a7, 0x7fc2, 0x7d9, 0x7fbf, 0x80c, 0x7fbc, 0x83e, 0x7fb9, 0x870, 0x7fb5, 0x8a2, 0x7fb2, 0x8d4, 0x7fae, 0x906, 0x7fab, 0x938, 0x7fa7, 0x96b, 0x7fa3, 0x99d, 0x7fa0, 0x9cf, 0x7f9c, 0xa01, 0x7f98, 0xa33, 0x7f94, 0xa65, 0x7f90, 0xa97, 0x7f8b, 0xac9, 0x7f87, 0xafb, 0x7f83, 0xb2d, 0x7f7e, 0xb60, 0x7f7a, 0xb92, 0x7f75, 0xbc4, 0x7f71, 0xbf6, 0x7f6c, 0xc28, 0x7f67, 0xc5a, 0x7f62, 0xc8c, 0x7f5d, 0xcbe, 0x7f58, 0xcf0, 0x7f53, 0xd22, 0x7f4e, 0xd54, 0x7f49, 0xd86, 0x7f43, 0xdb8, 0x7f3e, 0xdea, 0x7f38, 0xe1c, 0x7f33, 0xe4e, 0x7f2d, 0xe80, 0x7f27, 0xeb2, 0x7f22, 0xee4, 0x7f1c, 0xf15, 0x7f16, 0xf47, 0x7f10, 0xf79, 0x7f0a, 0xfab, 0x7f03, 0xfdd, 0x7efd, 0x100f, 0x7ef7, 0x1041, 0x7ef0, 0x1073, 0x7eea, 0x10a4, 0x7ee3, 0x10d6, 0x7edd, 0x1108, 0x7ed6, 0x113a, 0x7ecf, 0x116c, 0x7ec8, 0x119e, 0x7ec1, 0x11cf, 0x7eba, 0x1201, 0x7eb3, 0x1233, 0x7eac, 0x1265, 0x7ea5, 0x1296, 0x7e9d, 0x12c8, 0x7e96, 0x12fa, 0x7e8e, 0x132b, 0x7e87, 0x135d, 0x7e7f, 0x138f, 0x7e78, 0x13c1, 0x7e70, 0x13f2, 0x7e68, 0x1424, 0x7e60, 0x1455, 0x7e58, 0x1487, 0x7e50, 0x14b9, 0x7e48, 0x14ea, 0x7e3f, 0x151c, 0x7e37, 0x154d, 0x7e2f, 0x157f, 0x7e26, 0x15b1, 0x7e1e, 0x15e2, 0x7e15, 0x1614, 0x7e0c, 0x1645, 0x7e03, 0x1677, 0x7dfb, 0x16a8, 0x7df2, 0x16da, 0x7de9, 0x170b, 0x7de0, 0x173c, 0x7dd6, 0x176e, 0x7dcd, 0x179f, 0x7dc4, 0x17d1, 0x7dba, 0x1802, 0x7db1, 0x1833, 0x7da7, 0x1865, 0x7d9e, 0x1896, 0x7d94, 0x18c7, 0x7d8a, 0x18f9, 0x7d81, 0x192a, 0x7d77, 0x195b, 0x7d6d, 0x198d, 0x7d63, 0x19be, 0x7d58, 0x19ef, 0x7d4e, 0x1a20, 0x7d44, 0x1a51, 0x7d3a, 0x1a83, 0x7d2f, 0x1ab4, 0x7d25, 0x1ae5, 0x7d1a, 0x1b16, 0x7d0f, 0x1b47, 0x7d05, 0x1b78, 0x7cfa, 0x1ba9, 0x7cef, 0x1bda, 0x7ce4, 0x1c0c, 0x7cd9, 0x1c3d, 0x7cce, 0x1c6e, 0x7cc2, 0x1c9f, 0x7cb7, 0x1cd0, 0x7cac, 0x1d01, 0x7ca0, 0x1d31, 0x7c95, 0x1d62, 0x7c89, 0x1d93, 0x7c7e, 0x1dc4, 0x7c72, 0x1df5, 0x7c66, 0x1e26, 0x7c5a, 0x1e57, 0x7c4e, 0x1e88, 0x7c42, 0x1eb8, 0x7c36, 0x1ee9, 0x7c2a, 0x1f1a, 0x7c1e, 0x1f4b, 0x7c11, 0x1f7b, 0x7c05, 0x1fac, 0x7bf9, 0x1fdd, 0x7bec, 0x200e, 0x7bdf, 0x203e, 0x7bd3, 0x206f, 0x7bc6, 0x209f, 0x7bb9, 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0xa4cc, 0xa630, 0xa4f0, 0xa60c, 0xa513, 0xa5e8, 0xa537, 0xa5c5, 0xa55a, 0xa5a1, 0xa57e, 0xa57e, 0xa5a1, 0xa55a, 0xa5c5, 0xa537, 0xa5e8, 0xa513, 0xa60c, 0xa4f0, 0xa630, 0xa4cc, 0xa654, 0xa4a9, 0xa678, 0xa486, 0xa69c, 0xa463, 0xa6c0, 0xa440, 0xa6e4, 0xa41d, 0xa708, 0xa3fa, 0xa72c, 0xa3d7, 0xa750, 0xa3b4, 0xa774, 0xa391, 0xa799, 0xa36f, 0xa7bd, 0xa34c, 0xa7e2, 0xa329, 0xa806, 0xa307, 0xa82b, 0xa2e4, 0xa84f, 0xa2c2, 0xa874, 0xa29f, 0xa899, 0xa27d, 0xa8bd, 0xa25b, 0xa8e2, 0xa238, 0xa907, 0xa216, 0xa92c, 0xa1f4, 0xa951, 0xa1d2, 0xa976, 0xa1b0, 0xa99b, 0xa18e, 0xa9c0, 0xa16c, 0xa9e5, 0xa14a, 0xaa0a, 0xa129, 0xaa30, 0xa107, 0xaa55, 0xa0e5, 0xaa7a, 0xa0c4, 0xaaa0, 0xa0a2, 0xaac5, 0xa080, 0xaaeb, 0xa05f, 0xab10, 0xa03e, 0xab36, 0xa01c, 0xab5c, 0x9ffb, 0xab81, 0x9fda, 0xaba7, 0x9fb9, 0xabcd, 0x9f98, 0xabf3, 0x9f77, 0xac19, 0x9f56, 0xac3f, 0x9f35, 0xac65, 0x9f14, 0xac8b, 0x9ef3, 0xacb1, 0x9ed2, 0xacd7, 0x9eb2, 0xacfd, 0x9e91, 0xad24, 0x9e70, 0xad4a, 0x9e50, 0xad70, 0x9e2f, 0xad97, 0x9e0f, 0xadbd, 0x9def, 0xade4, 0x9dce, 0xae0b, 0x9dae, 0xae31, 0x9d8e, 0xae58, 0x9d6e, 0xae7f, 0x9d4e, 0xaea5, 0x9d2e, 0xaecc, 0x9d0e, 0xaef3, 0x9cee, 0xaf1a, 0x9cce, 0xaf41, 0x9caf, 0xaf68, 0x9c8f, 0xaf8f, 0x9c6f, 0xafb6, 0x9c50, 0xafdd, 0x9c30, 0xb005, 0x9c11, 0xb02c, 0x9bf1, 0xb053, 0x9bd2, 0xb07b, 0x9bb3, 0xb0a2, 0x9b94, 0xb0c9, 0x9b75, 0xb0f1, 0x9b55, 0xb118, 0x9b36, 0xb140, 0x9b17, 0xb168, 0x9af9, 0xb18f, 0x9ada, 0xb1b7, 0x9abb, 0xb1df, 0x9a9c, 0xb207, 0x9a7e, 0xb22f, 0x9a5f, 0xb257, 0x9a40, 0xb27f, 0x9a22, 0xb2a7, 0x9a04, 0xb2cf, 0x99e5, 0xb2f7, 0x99c7, 0xb31f, 0x99a9, 0xb347, 0x998b, 0xb36f, 0x996d, 0xb398, 0x994e, 0xb3c0, 0x9930, 0xb3e9, 0x9913, 0xb411, 0x98f5, 0xb439, 0x98d7, 0xb462, 0x98b9, 0xb48b, 0x989c, 0xb4b3, 0x987e, 0xb4dc, 0x9860, 0xb505, 0x9843, 0xb52d, 0x9826, 0xb556, 0x9808, 0xb57f, 0x97eb, 0xb5a8, 0x97ce, 0xb5d1, 0x97b0, 0xb5fa, 0x9793, 0xb623, 0x9776, 0xb64c, 0x9759, 0xb675, 0x973c, 0xb69e, 0x9720, 0xb6c7, 0x9703, 0xb6f1, 0x96e6, 0xb71a, 0x96c9, 0xb743, 0x96ad, 0xb76d, 0x9690, 0xb796, 0x9674, 0xb7c0, 0x9657, 0xb7e9, 0x963b, 0xb813, 0x961f, 0xb83c, 0x9603, 0xb866, 0x95e6, 0xb890, 0x95ca, 0xb8b9, 0x95ae, 0xb8e3, 0x9592, 0xb90d, 0x9577, 0xb937, 0x955b, 0xb961, 0x953f, 0xb98b, 0x9523, 0xb9b5, 0x9508, 0xb9df, 0x94ec, 0xba09, 0x94d0, 0xba33, 0x94b5, 0xba5d, 0x949a, 0xba87, 0x947e, 0xbab1, 0x9463, 0xbadc, 0x9448, 0xbb06, 0x942d, 0xbb30, 0x9412, 0xbb5b, 0x93f7, 0xbb85, 0x93dc, 0xbbb0, 0x93c1, 0xbbda, 0x93a6, 0xbc05, 0x938b, 0xbc2f, 0x9371, 0xbc5a, 0x9356, 0xbc85, 0x933c, 0xbcaf, 0x9321, 0xbcda, 0x9307, 0xbd05, 0x92ec, 0xbd30, 0x92d2, 0xbd5b, 0x92b8, 0xbd86, 0x929e, 0xbdb1, 0x9284, 0xbddc, 0x926a, 0xbe07, 0x9250, 0xbe32, 0x9236, 0xbe5d, 0x921c, 0xbe88, 0x9202, 0xbeb3, 0x91e9, 0xbedf, 0x91cf, 0xbf0a, 0x91b6, 0xbf35, 0x919c, 0xbf61, 0x9183, 0xbf8c, 0x9169, 0xbfb8, 0x9150, 0xbfe3, 0x9137, 0xc00f, 0x911e, 0xc03a, 0x9105, 0xc066, 0x90ec, 0xc091, 0x90d3, 0xc0bd, 0x90ba, 0xc0e9, 0x90a1, 0xc114, 0x9088, 0xc140, 0x9070, 0xc16c, 0x9057, 0xc198, 0x903e, 0xc1c4, 0x9026, 0xc1f0, 0x900e, 0xc21c, 0x8ff5, 0xc248, 0x8fdd, 0xc274, 0x8fc5, 0xc2a0, 0x8fad, 0xc2cc, 0x8f95, 0xc2f8, 0x8f7d, 0xc324, 0x8f65, 0xc351, 0x8f4d, 0xc37d, 0x8f35, 0xc3a9, 0x8f1d, 0xc3d6, 0x8f06, 0xc402, 0x8eee, 0xc42e, 0x8ed6, 0xc45b, 0x8ebf, 0xc487, 0x8ea8, 0xc4b4, 0x8e90, 0xc4e0, 0x8e79, 0xc50d, 0x8e62, 0xc53a, 0x8e4b, 0xc566, 0x8e34, 0xc593, 0x8e1d, 0xc5c0, 0x8e06, 0xc5ed, 0x8def, 0xc619, 0x8dd8, 0xc646, 0x8dc1, 0xc673, 0x8dab, 0xc6a0, 0x8d94, 0xc6cd, 0x8d7e, 0xc6fa, 0x8d67, 0xc727, 0x8d51, 0xc754, 0x8d3b, 0xc781, 0x8d24, 0xc7ae, 0x8d0e, 0xc7db, 0x8cf8, 0xc809, 0x8ce2, 0xc836, 0x8ccc, 0xc863, 0x8cb6, 0xc890, 0x8ca1, 0xc8be, 0x8c8b, 0xc8eb, 0x8c75, 0xc918, 0x8c60, 0xc946, 0x8c4a, 0xc973, 0x8c35, 0xc9a1, 0x8c1f, 0xc9ce, 0x8c0a, 0xc9fc, 0x8bf5, 0xca29, 0x8bdf, 0xca57, 0x8bca, 0xca85, 0x8bb5, 0xcab2, 0x8ba0, 0xcae0, 0x8b8b, 0xcb0e, 0x8b77, 0xcb3c, 0x8b62, 0xcb69, 0x8b4d, 0xcb97, 0x8b39, 0xcbc5, 0x8b24, 0xcbf3, 0x8b10, 0xcc21, 0x8afb, 0xcc4f, 0x8ae7, 0xcc7d, 0x8ad3, 0xccab, 0x8abe, 0xccd9, 0x8aaa, 0xcd07, 0x8a96, 0xcd35, 0x8a82, 0xcd63, 0x8a6e, 0xcd92, 0x8a5a, 0xcdc0, 0x8a47, 0xcdee, 0x8a33, 0xce1c, 0x8a1f, 0xce4b, 0x8a0c, 0xce79, 0x89f8, 0xcea7, 0x89e5, 0xced6, 0x89d2, 0xcf04, 0x89be, 0xcf33, 0x89ab, 0xcf61, 0x8998, 0xcf90, 0x8985, 0xcfbe, 0x8972, 0xcfed, 0x895f, 0xd01b, 0x894c, 0xd04a, 0x8939, 0xd079, 0x8927, 0xd0a7, 0x8914, 0xd0d6, 0x8902, 0xd105, 0x88ef, 0xd134, 0x88dd, 0xd162, 0x88ca, 0xd191, 0x88b8, 0xd1c0, 0x88a6, 0xd1ef, 0x8894, 0xd21e, 0x8882, 0xd24d, 0x8870, 0xd27c, 0x885e, 0xd2ab, 0x884c, 0xd2da, 0x883a, 0xd309, 0x8828, 0xd338, 0x8817, 0xd367, 0x8805, 0xd396, 0x87f4, 0xd3c5, 0x87e2, 0xd3f4, 0x87d1, 0xd424, 0x87c0, 0xd453, 0x87af, 0xd482, 0x879d, 0xd4b1, 0x878c, 0xd4e1, 0x877b, 0xd510, 0x876b, 0xd53f, 0x875a, 0xd56f, 0x8749, 0xd59e, 0x8738, 0xd5ce, 0x8728, 0xd5fd, 0x8717, 0xd62d, 0x8707, 0xd65c, 0x86f6, 0xd68c, 0x86e6, 0xd6bb, 0x86d6, 0xd6eb, 0x86c6, 0xd71b, 0x86b6, 0xd74a, 0x86a5, 0xd77a, 0x8696, 0xd7aa, 0x8686, 0xd7d9, 0x8676, 0xd809, 0x8666, 0xd839, 0x8656, 0xd869, 0x8647, 0xd898, 0x8637, 0xd8c8, 0x8628, 0xd8f8, 0x8619, 0xd928, 0x8609, 0xd958, 0x85fa, 0xd988, 0x85eb, 0xd9b8, 0x85dc, 0xd9e8, 0x85cd, 0xda18, 0x85be, 0xda48, 0x85af, 0xda78, 0x85a0, 0xdaa8, 0x8592, 0xdad8, 0x8583, 0xdb08, 0x8574, 0xdb38, 0x8566, 0xdb68, 0x8558, 0xdb99, 0x8549, 0xdbc9, 0x853b, 0xdbf9, 0x852d, 0xdc29, 0x851f, 0xdc59, 0x8511, 0xdc8a, 0x8503, 0xdcba, 0x84f5, 0xdcea, 0x84e7, 0xdd1b, 0x84d9, 0xdd4b, 0x84cc, 0xdd7c, 0x84be, 0xddac, 0x84b0, 0xdddc, 0x84a3, 0xde0d, 0x8496, 0xde3d, 0x8488, 0xde6e, 0x847b, 0xde9e, 0x846e, 0xdecf, 0x8461, 0xdeff, 0x8454, 0xdf30, 0x8447, 0xdf61, 0x843a, 0xdf91, 0x842d, 0xdfc2, 0x8421, 0xdff2, 0x8414, 0xe023, 0x8407, 0xe054, 0x83fb, 0xe085, 0x83ef, 0xe0b5, 0x83e2, 0xe0e6, 0x83d6, 0xe117, 0x83ca, 0xe148, 0x83be, 0xe178, 0x83b2, 0xe1a9, 0x83a6, 0xe1da, 0x839a, 0xe20b, 0x838e, 0xe23c, 0x8382, 0xe26d, 0x8377, 0xe29e, 0x836b, 0xe2cf, 0x8360, 0xe2ff, 0x8354, 0xe330, 0x8349, 0xe361, 0x833e, 0xe392, 0x8332, 0xe3c3, 0x8327, 0xe3f4, 0x831c, 0xe426, 0x8311, 0xe457, 0x8306, 0xe488, 0x82fb, 0xe4b9, 0x82f1, 0xe4ea, 0x82e6, 0xe51b, 0x82db, 0xe54c, 0x82d1, 0xe57d, 0x82c6, 0xe5af, 0x82bc, 0xe5e0, 0x82b2, 0xe611, 0x82a8, 0xe642, 0x829d, 0xe673, 0x8293, 0xe6a5, 0x8289, 0xe6d6, 0x827f, 0xe707, 0x8276, 0xe739, 0x826c, 0xe76a, 0x8262, 0xe79b, 0x8259, 0xe7cd, 0x824f, 0xe7fe, 0x8246, 0xe82f, 0x823c, 0xe861, 0x8233, 0xe892, 0x822a, 0xe8c4, 0x8220, 0xe8f5, 0x8217, 0xe926, 0x820e, 0xe958, 0x8205, 0xe989, 0x81fd, 0xe9bb, 0x81f4, 0xe9ec, 0x81eb, 0xea1e, 0x81e2, 0xea4f, 0x81da, 0xea81, 0x81d1, 0xeab3, 0x81c9, 0xeae4, 0x81c1, 0xeb16, 0x81b8, 0xeb47, 0x81b0, 0xeb79, 0x81a8, 0xebab, 0x81a0, 0xebdc, 0x8198, 0xec0e, 0x8190, 0xec3f, 0x8188, 0xec71, 0x8181, 0xeca3, 0x8179, 0xecd5, 0x8172, 0xed06, 0x816a, 0xed38, 0x8163, 0xed6a, 0x815b, 0xed9b, 0x8154, 0xedcd, 0x814d, 0xedff, 0x8146, 0xee31, 0x813f, 0xee62, 0x8138, 0xee94, 0x8131, 0xeec6, 0x812a, 0xeef8, 0x8123, 0xef2a, 0x811d, 0xef5c, 0x8116, 0xef8d, 0x8110, 0xefbf, 0x8109, 0xeff1, 0x8103, 0xf023, 0x80fd, 0xf055, 0x80f6, 0xf087, 0x80f0, 0xf0b9, 0x80ea, 0xf0eb, 0x80e4, 0xf11c, 0x80de, 0xf14e, 0x80d9, 0xf180, 0x80d3, 0xf1b2, 0x80cd, 0xf1e4, 0x80c8, 0xf216, 0x80c2, 0xf248, 0x80bd, 0xf27a, 0x80b7, 0xf2ac, 0x80b2, 0xf2de, 0x80ad, 0xf310, 0x80a8, 0xf342, 0x80a3, 0xf374, 0x809e, 0xf3a6, 0x8099, 0xf3d8, 0x8094, 0xf40a, 0x808f, 0xf43c, 0x808b, 0xf46e, 0x8086, 0xf4a0, 0x8082, 0xf4d3, 0x807d, 0xf505, 0x8079, 0xf537, 0x8075, 0xf569, 0x8070, 0xf59b, 0x806c, 0xf5cd, 0x8068, 0xf5ff, 0x8064, 0xf631, 0x8060, 0xf663, 0x805d, 0xf695, 0x8059, 0xf6c8, 0x8055, 0xf6fa, 0x8052, 0xf72c, 0x804e, 0xf75e, 0x804b, 0xf790, 0x8047, 0xf7c2, 0x8044, 0xf7f4, 0x8041, 0xf827, 0x803e, 0xf859, 0x803b, 0xf88b, 0x8038, 0xf8bd, 0x8035, 0xf8ef, 0x8032, 0xf922, 0x802f, 0xf954, 0x802d, 0xf986, 0x802a, 0xf9b8, 0x8027, 0xf9ea, 0x8025, 0xfa1d, 0x8023, 0xfa4f, 0x8020, 0xfa81, 0x801e, 0xfab3, 0x801c, 0xfae5, 0x801a, 0xfb18, 0x8018, 0xfb4a, 0x8016, 0xfb7c, 0x8014, 0xfbae, 0x8013, 0xfbe1, 0x8011, 0xfc13, 0x800f, 0xfc45, 0x800e, 0xfc77, 0x800c, 0xfcaa, 0x800b, 0xfcdc, 0x800a, 0xfd0e, 0x8009, 0xfd40, 0x8008, 0xfd73, 0x8007, 0xfda5, 0x8006, 0xfdd7, 0x8005, 0xfe09, 0x8004, 0xfe3c, 0x8003, 0xfe6e, 0x8002, 0xfea0, 0x8002, 0xfed2, 0x8001, 0xff05, 0x8001, 0xff37, 0x8001, 0xff69, 0x8000, 0xff9b, 0x8000, 0xffce, 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, 3552,3912, 3560,8008, 3568,12104, 3576,16200, 3584,6208, 3592,4488, 3600,8584, 3608,12680, 3616,6336, 3624,5000, 3632,9096, 3640,13192, 3648,6464, 3656,5512, 3664,9608, 3672,13704, 3680,6592, 3688,6024, 3696,10120, 3704,14216, 3712,6216, 3720,6536, 3728,10632, 3736,14728, 3744,6344, 3752,7048, 3760,11144, 3768,15240, 3776,6472, 3784,7560, 3792,11656, 3800,15752, 3808,3976, 3816,8072, 3824,12168, 3832,16264, 3840,7232, 3848,4552, 3856,8648, 3864,12744, 3872,7360, 3880,5064, 3888,9160, 3896,13256, 3904,7488, 3912,5576, 3920,9672, 3928,13768, 3936,7616, 3944,6088, 3952,10184, 3960,14280, 3968,7240, 3976,6600, 3984,10696, 3992,14792, 4000,7368, 4008,7112, 4016,11208, 4024,15304, 4032,7496, 4040,7624, 4048,11720, 4056,15816, 4064,7624, 4072,8136, 4080,12232, 4088,16328, 4096,8192, 4104,4112, 4112,8208, 4120,12304, 4128,8320, 4136,4624, 4144,8720, 4152,12816, 4160,8448, 4168,5136, 4176,9232, 4184,13328, 4192,8576, 4200,5648, 4208,9744, 4216,13840, 4224,8200, 4232,6160, 4240,10256, 4248,14352, 4256,8328, 4264,6672, 4272,10768, 4280,14864, 4288,8456, 4296,7184, 4304,11280, 4312,15376, 4320,8584, 4328,7696, 4336,11792, 4344,15888, 4352,9216, 4360,9232, 4368,8272, 4376,12368, 4384,9344, 4392,4688, 4400,8784, 4408,12880, 4416,9472, 4424,5200, 4432,9296, 4440,13392, 4448,9600, 4456,5712, 4464,9808, 4472,13904, 4480,9224, 4488,6224, 4496,10320, 4504,14416, 4512,9352, 4520,6736, 4528,10832, 4536,14928, 4544,9480, 4552,7248, 4560,11344, 4568,15440, 4576,9608, 4584,7760, 4592,11856, 4600,15952, 4608,10240, 4616,10256, 4624,8336, 4632,12432, 4640,10368, 4648,4752, 4656,8848, 4664,12944, 4672,10496, 4680,5264, 4688,9360, 4696,13456, 4704,10624, 4712,5776, 4720,9872, 4728,13968, 4736,10248, 4744,6288, 4752,10384, 4760,14480, 4768,10376, 4776,6800, 4784,10896, 4792,14992, 4800,10504, 4808,7312, 4816,11408, 4824,15504, 4832,10632, 4840,7824, 4848,11920, 4856,16016, 4864,11264, 4872,11280, 4880,8400, 4888,12496, 4896,11392, 4904,11408, 4912,8912, 4920,13008, 4928,11520, 4936,5328, 4944,9424, 4952,13520, 4960,11648, 4968,5840, 4976,9936, 4984,14032, 4992,11272, 5000,6352, 5008,10448, 5016,14544, 5024,11400, 5032,6864, 5040,10960, 5048,15056, 5056,11528, 5064,7376, 5072,11472, 5080,15568, 5088,11656, 5096,7888, 5104,11984, 5112,16080, 5120,8256, 5128,8272, 5136,8464, 5144,12560, 5152,8384, 5160,8400, 5168,8976, 5176,13072, 5184,8512, 5192,5392, 5200,9488, 5208,13584, 5216,8640, 5224,5904, 5232,10000, 5240,14096, 5248,8264, 5256,6416, 5264,10512, 5272,14608, 5280,8392, 5288,6928, 5296,11024, 5304,15120, 5312,8520, 5320,7440, 5328,11536, 5336,15632, 5344,8648, 5352,7952, 5360,12048, 5368,16144, 5376,9280, 5384,9296, 5392,8528, 5400,12624, 5408,9408, 5416,9424, 5424,9040, 5432,13136, 5440,9536, 5448,5456, 5456,9552, 5464,13648, 5472,9664, 5480,5968, 5488,10064, 5496,14160, 5504,9288, 5512,6480, 5520,10576, 5528,14672, 5536,9416, 5544,6992, 5552,11088, 5560,15184, 5568,9544, 5576,7504, 5584,11600, 5592,15696, 5600,9672, 5608,8016, 5616,12112, 5624,16208, 5632,10304, 5640,10320, 5648,8592, 5656,12688, 5664,10432, 5672,10448, 5680,9104, 5688,13200, 5696,10560, 5704,10576, 5712,9616, 5720,13712, 5728,10688, 5736,6032, 5744,10128, 5752,14224, 5760,10312, 5768,6544, 5776,10640, 5784,14736, 5792,10440, 5800,7056, 5808,11152, 5816,15248, 5824,10568, 5832,7568, 5840,11664, 5848,15760, 5856,10696, 5864,8080, 5872,12176, 5880,16272, 5888,11328, 5896,11344, 5904,8656, 5912,12752, 5920,11456, 5928,11472, 5936,9168, 5944,13264, 5952,11584, 5960,11600, 5968,9680, 5976,13776, 5984,11712, 5992,6096, 6000,10192, 6008,14288, 6016,11336, 6024,6608, 6032,10704, 6040,14800, 6048,11464, 6056,7120, 6064,11216, 6072,15312, 6080,11592, 6088,7632, 6096,11728, 6104,15824, 6112,11720, 6120,8144, 6128,12240, 6136,16336, 6144,12288, 6152,12304, 6160,8216, 6168,12312, 6176,12416, 6184,12432, 6192,8728, 6200,12824, 6208,12544, 6216,12560, 6224,9240, 6232,13336, 6240,12672, 6248,12688, 6256,9752, 6264,13848, 6272,12296, 6280,12312, 6288,10264, 6296,14360, 6304,12424, 6312,6680, 6320,10776, 6328,14872, 6336,12552, 6344,7192, 6352,11288, 6360,15384, 6368,12680, 6376,7704, 6384,11800, 6392,15896, 6400,13312, 6408,13328, 6416,8280, 6424,12376, 6432,13440, 6440,13456, 6448,8792, 6456,12888, 6464,13568, 6472,13584, 6480,9304, 6488,13400, 6496,13696, 6504,13712, 6512,9816, 6520,13912, 6528,13320, 6536,13336, 6544,10328, 6552,14424, 6560,13448, 6568,6744, 6576,10840, 6584,14936, 6592,13576, 6600,7256, 6608,11352, 6616,15448, 6624,13704, 6632,7768, 6640,11864, 6648,15960, 6656,14336, 6664,14352, 6672,8344, 6680,12440, 6688,14464, 6696,14480, 6704,8856, 6712,12952, 6720,14592, 6728,14608, 6736,9368, 6744,13464, 6752,14720, 6760,14736, 6768,9880, 6776,13976, 6784,14344, 6792,14360, 6800,10392, 6808,14488, 6816,14472, 6824,14488, 6832,10904, 6840,15000, 6848,14600, 6856,7320, 6864,11416, 6872,15512, 6880,14728, 6888,7832, 6896,11928, 6904,16024, 6912,15360, 6920,15376, 6928,8408, 6936,12504, 6944,15488, 6952,15504, 6960,8920, 6968,13016, 6976,15616, 6984,15632, 6992,9432, 7000,13528, 7008,15744, 7016,15760, 7024,9944, 7032,14040, 7040,15368, 7048,15384, 7056,10456, 7064,14552, 7072,15496, 7080,15512, 7088,10968, 7096,15064, 7104,15624, 7112,7384, 7120,11480, 7128,15576, 7136,15752, 7144,7896, 7152,11992, 7160,16088, 7168,12352, 7176,12368, 7184,8472, 7192,12568, 7200,12480, 7208,12496, 7216,8984, 7224,13080, 7232,12608, 7240,12624, 7248,9496, 7256,13592, 7264,12736, 7272,12752, 7280,10008, 7288,14104, 7296,12360, 7304,12376, 7312,10520, 7320,14616, 7328,12488, 7336,12504, 7344,11032, 7352,15128, 7360,12616, 7368,7448, 7376,11544, 7384,15640, 7392,12744, 7400,7960, 7408,12056, 7416,16152, 7424,13376, 7432,13392, 7440,8536, 7448,12632, 7456,13504, 7464,13520, 7472,9048, 7480,13144, 7488,13632, 7496,13648, 7504,9560, 7512,13656, 7520,13760, 7528,13776, 7536,10072, 7544,14168, 7552,13384, 7560,13400, 7568,10584, 7576,14680, 7584,13512, 7592,13528, 7600,11096, 7608,15192, 7616,13640, 7624,13656, 7632,11608, 7640,15704, 7648,13768, 7656,8024, 7664,12120, 7672,16216, 7680,14400, 7688,14416, 7696,8600, 7704,12696, 7712,14528, 7720,14544, 7728,9112, 7736,13208, 7744,14656, 7752,14672, 7760,9624, 7768,13720, 7776,14784, 7784,14800, 7792,10136, 7800,14232, 7808,14408, 7816,14424, 7824,10648, 7832,14744, 7840,14536, 7848,14552, 7856,11160, 7864,15256, 7872,14664, 7880,14680, 7888,11672, 7896,15768, 7904,14792, 7912,8088, 7920,12184, 7928,16280, 7936,15424, 7944,15440, 7952,8664, 7960,12760, 7968,15552, 7976,15568, 7984,9176, 7992,13272, 8000,15680, 8008,15696, 8016,9688, 8024,13784, 8032,15808, 8040,15824, 8048,10200, 8056,14296, 8064,15432, 8072,15448, 8080,10712, 8088,14808, 8096,15560, 8104,15576, 8112,11224, 8120,15320, 8128,15688, 8136,15704, 8144,11736, 8152,15832, 8160,15816, 8168,15832, 8176,12248, 8184,16344, 8200,8320, 8208,8224, 8216,12320, 8232,10368, 8240,8736, 8248,12832, 8256,8448, 8264,8384, 8272,9248, 8280,13344, 8288,9232, 8296,10432, 8304,9760, 8312,13856, 8328,12416, 8336,10272, 8344,14368, 8352,12296, 8360,14464, 8368,10784, 8376,14880, 8384,8456, 8392,12480, 8400,11296, 8408,15392, 8416,12552, 8424,14528, 8432,11808, 8440,15904, 8448,9216, 8456,8576, 8464,9232, 8472,12384, 8480,9248, 8488,10624, 8496,8800, 8504,12896, 8512,9472, 8520,8640, 8528,9312, 8536,13408, 8544,9296, 8552,10688, 8560,9824, 8568,13920, 8576,9224, 8584,12672, 8592,10336, 8600,14432, 8608,13320, 8616,14720, 8624,10848, 8632,14944, 8640,9480, 8648,12736, 8656,11360, 8664,15456, 8672,13576, 8680,14784, 8688,11872, 8696,15968, 8704,12288, 8712,12416, 8720,12296, 8728,12448, 8736,12304, 8744,10376, 8752,8864, 8760,12960, 8768,12352, 8776,12480, 8784,9376, 8792,13472, 8800,12368, 8808,10440, 8816,9888, 8824,13984, 8832,12320, 8840,12424, 8848,10400, 8856,14496, 8864,12312, 8872,14472, 8880,10912, 8888,15008, 8896,12384, 8904,12488, 8912,11424, 8920,15520, 8928,12568, 8936,14536, 8944,11936, 8952,16032, 8960,12544, 8968,12672, 8976,12552, 8984,12512, 8992,12560, 9000,10632, 9008,12568, 9016,13024, 9024,12608, 9032,12736, 9040,9440, 9048,13536, 9056,12624, 9064,10696, 9072,9952, 9080,14048, 9088,9240, 9096,12680, 9104,10464, 9112,14560, 9120,13336, 9128,14728, 9136,10976, 9144,15072, 9152,9496, 9160,12744, 9168,11488, 9176,15584, 9184,13592, 9192,14792, 9200,12000, 9208,16096, 9224,9344, 9232,9248, 9240,12576, 9256,11392, 9264,12560, 9272,13088, 9280,9472, 9288,9408, 9296,9504, 9304,13600, 9312,9488, 9320,11456, 9328,10016, 9336,14112, 9352,13440, 9360,10528, 9368,14624, 9376,12360, 9384,15488, 9392,11040, 9400,15136, 9408,9480, 9416,13504, 9424,11552, 9432,15648, 9440,12616, 9448,15552, 9456,12064, 9464,16160, 9480,9600, 9488,9504, 9496,12640, 9512,11648, 9520,12624, 9528,13152, 9544,9664, 9552,9568, 9560,13664, 9576,11712, 9584,10080, 9592,14176, 9608,13696, 9616,10592, 9624,14688, 9632,13384, 9640,15744, 9648,11104, 9656,15200, 9672,13760, 9680,11616, 9688,15712, 9696,13640, 9704,15808, 9712,12128, 9720,16224, 9728,13312, 9736,13440, 9744,13320, 9752,12704, 9760,13328, 9768,11400, 9776,13336, 9784,13216, 9792,13376, 9800,13504, 9808,13384, 9816,13728, 9824,13392, 9832,11464, 9840,10144, 9848,14240, 9856,13344, 9864,13448, 9872,10656, 9880,14752, 9888,12376, 9896,15496, 9904,11168, 9912,15264, 9920,13408, 9928,13512, 9936,11680, 9944,15776, 9952,12632, 9960,15560, 9968,12192, 9976,16288, 9984,13568, 9992,13696, 10000,13576, 10008,12768, 10016,13584, 10024,11656, 10032,13592, 10040,13280, 10048,13632, 10056,13760, 10064,13640, 10072,13792, 10080,13648, 10088,11720, 10096,10208, 10104,14304, 10112,13600, 10120,13704, 10128,10720, 10136,14816, 10144,13400, 10152,15752, 10160,11232, 10168,15328, 10176,13664, 10184,13768, 10192,11744, 10200,15840, 10208,13656, 10216,15816, 10224,12256, 10232,16352, 10248,10272, 10256,10368, 10264,12328, 10280,10384, 10288,10376, 10296,12840, 10304,11264, 10312,11296, 10320,11392, 10328,13352, 10336,11272, 10344,10448, 10352,11400, 10360,13864, 10376,12432, 10392,14376, 10400,12328, 10408,14480, 10416,10792, 10424,14888, 10432,11280, 10440,12496, 10448,11304, 10456,15400, 10464,11288, 10472,14544, 10480,11816, 10488,15912, 10496,11264, 10504,11272, 10512,11280, 10520,12392, 10528,11296, 10536,10640, 10544,12496, 10552,12904, 10560,11328, 10568,11360, 10576,11456, 10584,13416, 10592,11336, 10600,10704, 10608,11464, 10616,13928, 10624,11392, 10632,12688, 10640,11304, 10648,14440, 10656,13352, 10664,14736, 10672,10856, 10680,14952, 10688,11344, 10696,12752, 10704,11368, 10712,15464, 10720,11352, 10728,14800, 10736,11880, 10744,15976, 10752,14336, 10760,14368, 10768,14464, 10776,12456, 10784,14344, 10792,14376, 10800,14472, 10808,12968, 10816,15360, 10824,15392, 10832,15488, 10840,13480, 10848,15368, 10856,15400, 10864,15496, 10872,13992, 10880,14352, 10888,12440, 10896,14480, 10904,14504, 10912,14360, 10920,14488, 10928,14488, 10936,15016, 10944,15376, 10952,12504, 10960,11432, 10968,15528, 10976,15384, 10984,14552, 10992,11944, 11000,16040, 11008,14400, 11016,14432, 11024,14528, 11032,12520, 11040,14408, 11048,14440, 11056,14536, 11064,13032, 11072,15424, 11080,15456, 11088,15552, 11096,13544, 11104,15432, 11112,15464, 11120,15560, 11128,14056, 11136,14416, 11144,12696, 11152,14544, 11160,14568, 11168,14424, 11176,14744, 11184,14552, 11192,15080, 11200,15440, 11208,12760, 11216,11496, 11224,15592, 11232,15448, 11240,14808, 11248,12008, 11256,16104, 11272,11296, 11280,11392, 11288,12584, 11304,11408, 11312,12688, 11320,13096, 11328,11520, 11336,11552, 11344,11648, 11352,13608, 11360,11528, 11368,11472, 11376,11656, 11384,14120, 11400,13456, 11416,14632, 11424,12392, 11432,15504, 11440,14440, 11448,15144, 11456,11536, 11464,13520, 11472,11560, 11480,15656, 11488,11544, 11496,15568, 11504,12072, 11512,16168, 11528,11552, 11536,11648, 11544,12648, 11560,11664, 11568,12752, 11576,13160, 11592,11616, 11600,11712, 11608,13672, 11624,11728, 11632,11720, 11640,14184, 11656,13712, 11672,14696, 11680,13416, 11688,15760, 11696,15464, 11704,15208, 11720,13776, 11736,15720, 11744,13672, 11752,15824, 11760,12136, 11768,16232, 11776,14592, 11784,14624, 11792,14720, 11800,12712, 11808,14600, 11816,14632, 11824,14728, 11832,13224, 11840,15616, 11848,15648, 11856,15744, 11864,13736, 11872,15624, 11880,15656, 11888,15752, 11896,14248, 11904,14608, 11912,13464, 11920,14736, 11928,14760, 11936,14616, 11944,15512, 11952,14744, 11960,15272, 11968,15632, 11976,13528, 11984,15760, 11992,15784, 12000,15640, 12008,15576, 12016,12200, 12024,16296, 12032,14656, 12040,14688, 12048,14784, 12056,12776, 12064,14664, 12072,14696, 12080,14792, 12088,13288, 12096,15680, 12104,15712, 12112,15808, 12120,13800, 12128,15688, 12136,15720, 12144,15816, 12152,14312, 12160,14672, 12168,13720, 12176,14800, 12184,14824, 12192,14680, 12200,15768, 12208,14808, 12216,15336, 12224,15696, 12232,13784, 12240,15824, 12248,15848, 12256,15704, 12264,15832, 12272,15832, 12280,16360, 12312,12336, 12344,12848, 12352,12544, 12360,12552, 12368,12560, 12376,13360, 12384,12576, 12392,12584, 12400,13336, 12408,13872, 12424,12448, 12440,14384, 12456,14496, 12464,14472, 12472,14896, 12480,12672, 12488,12512, 12496,12688, 12504,15408, 12512,12680, 12520,14560, 12528,14728, 12536,15920, 12544,13312, 12552,13320, 12560,13328, 12568,13336, 12576,13344, 12584,13352, 12592,13360, 12600,12912, 12608,13568, 12616,13576, 12624,13584, 12632,13424, 12640,13600, 12648,13608, 12656,13400, 12664,13936, 12672,13440, 12680,12704, 12688,13456, 12696,14448, 12704,13448, 12712,14752, 12720,15496, 12728,14960, 12736,13696, 12744,12768, 12752,13712, 12760,15472, 12768,13704, 12776,14816, 12784,15752, 12792,15984, 12800,14336, 12808,14464, 12816,14344, 12824,14472, 12832,14352, 12840,14480, 12848,14360, 12856,12976, 12864,14400, 12872,14528, 12880,14408, 12888,13488, 12896,14416, 12904,14544, 12912,14424, 12920,14000, 12928,14368, 12936,14496, 12944,14376, 12952,14512, 12960,14384, 12968,14504, 12976,14488, 12984,15024, 12992,14432, 13000,14560, 13008,14440, 13016,15536, 13024,14448, 13032,14568, 13040,14744, 13048,16048, 13056,14592, 13064,14720, 13072,14600, 13080,14728, 13088,14608, 13096,14736, 13104,14616, 13112,14744, 13120,14656, 13128,14784, 13136,14664, 13144,13552, 13152,14672, 13160,14800, 13168,14680, 13176,14064, 13184,14624, 13192,14752, 13200,14632, 13208,14576, 13216,13464, 13224,14760, 13232,15512, 13240,15088, 13248,14688, 13256,14816, 13264,14696, 13272,15600, 13280,13720, 13288,14824, 13296,15768, 13304,16112, 13336,13360, 13368,14616, 13376,13568, 13384,13576, 13392,13584, 13400,13616, 13408,13600, 13416,13608, 13424,13592, 13432,14128, 13448,13472, 13464,14640, 13480,15520, 13488,14536, 13496,15152, 13504,13696, 13512,13536, 13520,13712, 13528,15664, 13536,13704, 13544,15584, 13552,14792, 13560,16176, 13592,13616, 13624,14680, 13656,13680, 13688,14192, 13704,13728, 13720,14704, 13736,15776, 13744,15560, 13752,15216, 13768,13792, 13784,15728, 13800,15840, 13808,15816, 13816,16240, 13824,15360, 13832,15488, 13840,15368, 13848,15496, 13856,15376, 13864,15504, 13872,15384, 13880,15512, 13888,15424, 13896,15552, 13904,15432, 13912,15560, 13920,15440, 13928,15568, 13936,15448, 13944,14256, 13952,15392, 13960,15520, 13968,15400, 13976,14768, 13984,15408, 13992,15528, 14000,14552, 14008,15280, 14016,15456, 14024,15584, 14032,15464, 14040,15792, 14048,15472, 14056,15592, 14064,14808, 14072,16304, 14080,15616, 14088,15744, 14096,15624, 14104,15752, 14112,15632, 14120,15760, 14128,15640, 14136,15768, 14144,15680, 14152,15808, 14160,15688, 14168,15816, 14176,15696, 14184,15824, 14192,15704, 14200,14320, 14208,15648, 14216,15776, 14224,15656, 14232,14832, 14240,15664, 14248,15784, 14256,15576, 14264,15344, 14272,15712, 14280,15840, 14288,15720, 14296,15856, 14304,15728, 14312,15848, 14320,15832, 14328,16368, 14392,14488, 14400,14592, 14408,14600, 14416,14608, 14424,14616, 14432,14624, 14440,14632, 14448,14640, 14456,15512, 14504,14512, 14520,14904, 14528,14720, 14536,14728, 14544,14736, 14552,15416, 14560,14752, 14568,14576, 14584,15928, 14576,14760, 14592,15360, 14600,15368, 14608,15376, 14616,15384, 14624,15392, 14632,15400, 14640,15408, 14648,15416, 14656,15616, 14664,15624, 14672,15632, 14680,15640, 14688,15648, 14696,15656, 14704,15664, 14712,15576, 14720,15488, 14728,15496, 14736,15504, 14744,15512, 14752,15520, 14760,14768, 14776,14968, 14768,15528, 14784,15744, 14792,15752, 14800,15760, 14808,15480, 14816,15776, 14824,14832, 14840,15992, 14832,15784, 14856,14864, 14864,14880, 14872,14896, 14880,14976, 14888,14992, 14896,15008, 14904,15024, 14912,15104, 14920,15120, 14928,15136, 14936,15152, 14944,15232, 14952,15248, 14960,15264, 14968,15280, 14984,15008, 15000,15024, 15016,15024, 15040,15112, 15048,15128, 15056,15144, 15064,15544, 15072,15240, 15080,15256, 15088,15272, 15096,16056, 15104,15872, 15112,15888, 15120,15904, 15128,15920, 15136,16000, 15144,16016, 15152,16032, 15160,16048, 15168,16128, 15176,16144, 15184,16160, 15192,16176, 15200,16256, 15208,16272, 15216,16288, 15224,16304, 15232,15880, 15240,15896, 15248,15912, 15256,15928, 15264,16008, 15272,16024, 15280,16040, 15288,16056, 15296,16136, 15304,16152, 15312,16168, 15320,15608, 15328,16264, 15336,16280, 15344,16296, 15352,16120, 15416,15512, 15424,15616, 15432,15624, 15440,15632, 15448,15640, 15456,15648, 15464,15656, 15472,15664, 15480,15768, 15528,15536, 15544,16048, 15552,15744, 15560,15752, 15568,15760, 15576,15672, 15584,15776, 15592,15600, 15600,15784, 15608,16184, 15672,15768, 15736,15832, 15784,15792, 15800,16304, 15848,15856, 15880,16000, 15864,16248, 15888,16000, 15896,16008, 15904,16000, 15912,16016, 15920,16008, 15928,16024, 15936,16128, 15944,16160, 15952,16256, 15960,16288, 15968,16136, 15976,16168, 15984,16264, 15992,16296, 16008,16032, 16024,16040, 16064,16144, 16040,16048, 16072,16176, 16080,16272, 16088,16304, 16096,16152, 16104,16184, 16112,16280, 16136,16256, 16120,16312, 16144,16256, 16152,16264, 16160,16256, 16168,16272, 16176,16264, 16184,16280, 16200,16208, 16208,16224, 16216,16240, 16224,16320, 16232,16336, 16240,16352, 16248,16368, 16264,16288, 16280,16296, 16296,16304, 16344,16368, 16328,16352, 16360,16368 }; const uint16_t armBitRevIndexTable4096[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, 6968,31048, 6992,11080, 7000,15176, 7008,19272, 7016,23368, 7024,27464, 7032,31560, 7048,7496, 7056,11592, 7064,15688, 7072,19784, 7080,23880, 7088,27976, 7096,32072, 7112,8008, 7120,12104, 7128,16200, 7136,20296, 7144,24392, 7152,28488, 7160,32584, 7184,8584, 7192,12680, 7200,16776, 7208,20872, 7216,24968, 7224,29064, 7248,9096, 7256,13192, 7264,17288, 7272,21384, 7280,25480, 7288,29576, 7312,9608, 7320,13704, 7328,17800, 7336,21896, 7344,25992, 7352,30088, 7376,10120, 7384,14216, 7392,18312, 7400,22408, 7408,26504, 7416,30600, 7440,10632, 7448,14728, 7456,18824, 7464,22920, 7472,27016, 7480,31112, 7504,11144, 7512,15240, 7520,19336, 7528,23432, 7536,27528, 7544,31624, 7568,11656, 7576,15752, 7584,19848, 7592,23944, 7600,28040, 7608,32136, 7624,8072, 7632,12168, 7640,16264, 7648,20360, 7656,24456, 7664,28552, 7672,32648, 7696,8648, 7704,12744, 7712,16840, 7720,20936, 7728,25032, 7736,29128, 7760,9160, 7768,13256, 7776,17352, 7784,21448, 7792,25544, 7800,29640, 7824,9672, 7832,13768, 7840,17864, 7848,21960, 7856,26056, 7864,30152, 7888,10184, 7896,14280, 7904,18376, 7912,22472, 7920,26568, 7928,30664, 7952,10696, 7960,14792, 7968,18888, 7976,22984, 7984,27080, 7992,31176, 8016,11208, 8024,15304, 8032,19400, 8040,23496, 8048,27592, 8056,31688, 8080,11720, 8088,15816, 8096,19912, 8104,24008, 8112,28104, 8120,32200, 8144,12232, 8152,16328, 8160,20424, 8168,24520, 8176,28616, 8184,32712, 8216,12304, 8224,16400, 8232,20496, 8240,24592, 8248,28688, 8272,8720, 8280,12816, 8288,16912, 8296,21008, 8304,25104, 8312,29200, 8336,9232, 8344,13328, 8352,17424, 8360,21520, 8368,25616, 8376,29712, 8400,9744, 8408,13840, 8416,17936, 8424,22032, 8432,26128, 8440,30224, 8464,10256, 8472,14352, 8480,18448, 8488,22544, 8496,26640, 8504,30736, 8528,10768, 8536,14864, 8544,18960, 8552,23056, 8560,27152, 8568,31248, 8592,11280, 8600,15376, 8608,19472, 8616,23568, 8624,27664, 8632,31760, 8656,11792, 8664,15888, 8672,19984, 8680,24080, 8688,28176, 8696,32272, 8728,12368, 8736,16464, 8744,20560, 8752,24656, 8760,28752, 8792,12880, 8800,16976, 8808,21072, 8816,25168, 8824,29264, 8848,9296, 8856,13392, 8864,17488, 8872,21584, 8880,25680, 8888,29776, 8912,9808, 8920,13904, 8928,18000, 8936,22096, 8944,26192, 8952,30288, 8976,10320, 8984,14416, 8992,18512, 9000,22608, 9008,26704, 9016,30800, 9040,10832, 9048,14928, 9056,19024, 9064,23120, 9072,27216, 9080,31312, 9104,11344, 9112,15440, 9120,19536, 9128,23632, 9136,27728, 9144,31824, 9168,11856, 9176,15952, 9184,20048, 9192,24144, 9200,28240, 9208,32336, 9240,12432, 9248,16528, 9256,20624, 9264,24720, 9272,28816, 9304,12944, 9312,17040, 9320,21136, 9328,25232, 9336,29328, 9368,13456, 9376,17552, 9384,21648, 9392,25744, 9400,29840, 9424,9872, 9432,13968, 9440,18064, 9448,22160, 9456,26256, 9464,30352, 9488,10384, 9496,14480, 9504,18576, 9512,22672, 9520,26768, 9528,30864, 9552,10896, 9560,14992, 9568,19088, 9576,23184, 9584,27280, 9592,31376, 9616,11408, 9624,15504, 9632,19600, 9640,23696, 9648,27792, 9656,31888, 9680,11920, 9688,16016, 9696,20112, 9704,24208, 9712,28304, 9720,32400, 9752,12496, 9760,16592, 9768,20688, 9776,24784, 9784,28880, 9816,13008, 9824,17104, 9832,21200, 9840,25296, 9848,29392, 9880,13520, 9888,17616, 9896,21712, 9904,25808, 9912,29904, 9944,14032, 9952,18128, 9960,22224, 9968,26320, 9976,30416, 10000,10448, 10008,14544, 10016,18640, 10024,22736, 10032,26832, 10040,30928, 10064,10960, 10072,15056, 10080,19152, 10088,23248, 10096,27344, 10104,31440, 10128,11472, 10136,15568, 10144,19664, 10152,23760, 10160,27856, 10168,31952, 10192,11984, 10200,16080, 10208,20176, 10216,24272, 10224,28368, 10232,32464, 10264,12560, 10272,16656, 10280,20752, 10288,24848, 10296,28944, 10328,13072, 10336,17168, 10344,21264, 10352,25360, 10360,29456, 10392,13584, 10400,17680, 10408,21776, 10416,25872, 10424,29968, 10456,14096, 10464,18192, 10472,22288, 10480,26384, 10488,30480, 10520,14608, 10528,18704, 10536,22800, 10544,26896, 10552,30992, 10576,11024, 10584,15120, 10592,19216, 10600,23312, 10608,27408, 10616,31504, 10640,11536, 10648,15632, 10656,19728, 10664,23824, 10672,27920, 10680,32016, 10704,12048, 10712,16144, 10720,20240, 10728,24336, 10736,28432, 10744,32528, 10776,12624, 10784,16720, 10792,20816, 10800,24912, 10808,29008, 10840,13136, 10848,17232, 10856,21328, 10864,25424, 10872,29520, 10904,13648, 10912,17744, 10920,21840, 10928,25936, 10936,30032, 10968,14160, 10976,18256, 10984,22352, 10992,26448, 11000,30544, 11032,14672, 11040,18768, 11048,22864, 11056,26960, 11064,31056, 11096,15184, 11104,19280, 11112,23376, 11120,27472, 11128,31568, 11152,11600, 11160,15696, 11168,19792, 11176,23888, 11184,27984, 11192,32080, 11216,12112, 11224,16208, 11232,20304, 11240,24400, 11248,28496, 11256,32592, 11288,12688, 11296,16784, 11304,20880, 11312,24976, 11320,29072, 11352,13200, 11360,17296, 11368,21392, 11376,25488, 11384,29584, 11416,13712, 11424,17808, 11432,21904, 11440,26000, 11448,30096, 11480,14224, 11488,18320, 11496,22416, 11504,26512, 11512,30608, 11544,14736, 11552,18832, 11560,22928, 11568,27024, 11576,31120, 11608,15248, 11616,19344, 11624,23440, 11632,27536, 11640,31632, 11672,15760, 11680,19856, 11688,23952, 11696,28048, 11704,32144, 11728,12176, 11736,16272, 11744,20368, 11752,24464, 11760,28560, 11768,32656, 11800,12752, 11808,16848, 11816,20944, 11824,25040, 11832,29136, 11864,13264, 11872,17360, 11880,21456, 11888,25552, 11896,29648, 11928,13776, 11936,17872, 11944,21968, 11952,26064, 11960,30160, 11992,14288, 12000,18384, 12008,22480, 12016,26576, 12024,30672, 12056,14800, 12064,18896, 12072,22992, 12080,27088, 12088,31184, 12120,15312, 12128,19408, 12136,23504, 12144,27600, 12152,31696, 12184,15824, 12192,19920, 12200,24016, 12208,28112, 12216,32208, 12248,16336, 12256,20432, 12264,24528, 12272,28624, 12280,32720, 12320,16408, 12328,20504, 12336,24600, 12344,28696, 12376,12824, 12384,16920, 12392,21016, 12400,25112, 12408,29208, 12440,13336, 12448,17432, 12456,21528, 12464,25624, 12472,29720, 12504,13848, 12512,17944, 12520,22040, 12528,26136, 12536,30232, 12568,14360, 12576,18456, 12584,22552, 12592,26648, 12600,30744, 12632,14872, 12640,18968, 12648,23064, 12656,27160, 12664,31256, 12696,15384, 12704,19480, 12712,23576, 12720,27672, 12728,31768, 12760,15896, 12768,19992, 12776,24088, 12784,28184, 12792,32280, 12832,16472, 12840,20568, 12848,24664, 12856,28760, 12896,16984, 12904,21080, 12912,25176, 12920,29272, 12952,13400, 12960,17496, 12968,21592, 12976,25688, 12984,29784, 13016,13912, 13024,18008, 13032,22104, 13040,26200, 13048,30296, 13080,14424, 13088,18520, 13096,22616, 13104,26712, 13112,30808, 13144,14936, 13152,19032, 13160,23128, 13168,27224, 13176,31320, 13208,15448, 13216,19544, 13224,23640, 13232,27736, 13240,31832, 13272,15960, 13280,20056, 13288,24152, 13296,28248, 13304,32344, 13344,16536, 13352,20632, 13360,24728, 13368,28824, 13408,17048, 13416,21144, 13424,25240, 13432,29336, 13472,17560, 13480,21656, 13488,25752, 13496,29848, 13528,13976, 13536,18072, 13544,22168, 13552,26264, 13560,30360, 13592,14488, 13600,18584, 13608,22680, 13616,26776, 13624,30872, 13656,15000, 13664,19096, 13672,23192, 13680,27288, 13688,31384, 13720,15512, 13728,19608, 13736,23704, 13744,27800, 13752,31896, 13784,16024, 13792,20120, 13800,24216, 13808,28312, 13816,32408, 13856,16600, 13864,20696, 13872,24792, 13880,28888, 13920,17112, 13928,21208, 13936,25304, 13944,29400, 13984,17624, 13992,21720, 14000,25816, 14008,29912, 14048,18136, 14056,22232, 14064,26328, 14072,30424, 14104,14552, 14112,18648, 14120,22744, 14128,26840, 14136,30936, 14168,15064, 14176,19160, 14184,23256, 14192,27352, 14200,31448, 14232,15576, 14240,19672, 14248,23768, 14256,27864, 14264,31960, 14296,16088, 14304,20184, 14312,24280, 14320,28376, 14328,32472, 14368,16664, 14376,20760, 14384,24856, 14392,28952, 14432,17176, 14440,21272, 14448,25368, 14456,29464, 14496,17688, 14504,21784, 14512,25880, 14520,29976, 14560,18200, 14568,22296, 14576,26392, 14584,30488, 14624,18712, 14632,22808, 14640,26904, 14648,31000, 14680,15128, 14688,19224, 14696,23320, 14704,27416, 14712,31512, 14744,15640, 14752,19736, 14760,23832, 14768,27928, 14776,32024, 14808,16152, 14816,20248, 14824,24344, 14832,28440, 14840,32536, 14880,16728, 14888,20824, 14896,24920, 14904,29016, 14944,17240, 14952,21336, 14960,25432, 14968,29528, 15008,17752, 15016,21848, 15024,25944, 15032,30040, 15072,18264, 15080,22360, 15088,26456, 15096,30552, 15136,18776, 15144,22872, 15152,26968, 15160,31064, 15200,19288, 15208,23384, 15216,27480, 15224,31576, 15256,15704, 15264,19800, 15272,23896, 15280,27992, 15288,32088, 15320,16216, 15328,20312, 15336,24408, 15344,28504, 15352,32600, 15392,16792, 15400,20888, 15408,24984, 15416,29080, 15456,17304, 15464,21400, 15472,25496, 15480,29592, 15520,17816, 15528,21912, 15536,26008, 15544,30104, 15584,18328, 15592,22424, 15600,26520, 15608,30616, 15648,18840, 15656,22936, 15664,27032, 15672,31128, 15712,19352, 15720,23448, 15728,27544, 15736,31640, 15776,19864, 15784,23960, 15792,28056, 15800,32152, 15832,16280, 15840,20376, 15848,24472, 15856,28568, 15864,32664, 15904,16856, 15912,20952, 15920,25048, 15928,29144, 15968,17368, 15976,21464, 15984,25560, 15992,29656, 16032,17880, 16040,21976, 16048,26072, 16056,30168, 16096,18392, 16104,22488, 16112,26584, 16120,30680, 16160,18904, 16168,23000, 16176,27096, 16184,31192, 16224,19416, 16232,23512, 16240,27608, 16248,31704, 16288,19928, 16296,24024, 16304,28120, 16312,32216, 16352,20440, 16360,24536, 16368,28632, 16376,32728, 16424,20512, 16432,24608, 16440,28704, 16480,16928, 16488,21024, 16496,25120, 16504,29216, 16544,17440, 16552,21536, 16560,25632, 16568,29728, 16608,17952, 16616,22048, 16624,26144, 16632,30240, 16672,18464, 16680,22560, 16688,26656, 16696,30752, 16736,18976, 16744,23072, 16752,27168, 16760,31264, 16800,19488, 16808,23584, 16816,27680, 16824,31776, 16864,20000, 16872,24096, 16880,28192, 16888,32288, 16936,20576, 16944,24672, 16952,28768, 17000,21088, 17008,25184, 17016,29280, 17056,17504, 17064,21600, 17072,25696, 17080,29792, 17120,18016, 17128,22112, 17136,26208, 17144,30304, 17184,18528, 17192,22624, 17200,26720, 17208,30816, 17248,19040, 17256,23136, 17264,27232, 17272,31328, 17312,19552, 17320,23648, 17328,27744, 17336,31840, 17376,20064, 17384,24160, 17392,28256, 17400,32352, 17448,20640, 17456,24736, 17464,28832, 17512,21152, 17520,25248, 17528,29344, 17576,21664, 17584,25760, 17592,29856, 17632,18080, 17640,22176, 17648,26272, 17656,30368, 17696,18592, 17704,22688, 17712,26784, 17720,30880, 17760,19104, 17768,23200, 17776,27296, 17784,31392, 17824,19616, 17832,23712, 17840,27808, 17848,31904, 17888,20128, 17896,24224, 17904,28320, 17912,32416, 17960,20704, 17968,24800, 17976,28896, 18024,21216, 18032,25312, 18040,29408, 18088,21728, 18096,25824, 18104,29920, 18152,22240, 18160,26336, 18168,30432, 18208,18656, 18216,22752, 18224,26848, 18232,30944, 18272,19168, 18280,23264, 18288,27360, 18296,31456, 18336,19680, 18344,23776, 18352,27872, 18360,31968, 18400,20192, 18408,24288, 18416,28384, 18424,32480, 18472,20768, 18480,24864, 18488,28960, 18536,21280, 18544,25376, 18552,29472, 18600,21792, 18608,25888, 18616,29984, 18664,22304, 18672,26400, 18680,30496, 18728,22816, 18736,26912, 18744,31008, 18784,19232, 18792,23328, 18800,27424, 18808,31520, 18848,19744, 18856,23840, 18864,27936, 18872,32032, 18912,20256, 18920,24352, 18928,28448, 18936,32544, 18984,20832, 18992,24928, 19000,29024, 19048,21344, 19056,25440, 19064,29536, 19112,21856, 19120,25952, 19128,30048, 19176,22368, 19184,26464, 19192,30560, 19240,22880, 19248,26976, 19256,31072, 19304,23392, 19312,27488, 19320,31584, 19360,19808, 19368,23904, 19376,28000, 19384,32096, 19424,20320, 19432,24416, 19440,28512, 19448,32608, 19496,20896, 19504,24992, 19512,29088, 19560,21408, 19568,25504, 19576,29600, 19624,21920, 19632,26016, 19640,30112, 19688,22432, 19696,26528, 19704,30624, 19752,22944, 19760,27040, 19768,31136, 19816,23456, 19824,27552, 19832,31648, 19880,23968, 19888,28064, 19896,32160, 19936,20384, 19944,24480, 19952,28576, 19960,32672, 20008,20960, 20016,25056, 20024,29152, 20072,21472, 20080,25568, 20088,29664, 20136,21984, 20144,26080, 20152,30176, 20200,22496, 20208,26592, 20216,30688, 20264,23008, 20272,27104, 20280,31200, 20328,23520, 20336,27616, 20344,31712, 20392,24032, 20400,28128, 20408,32224, 20456,24544, 20464,28640, 20472,32736, 20528,24616, 20536,28712, 20584,21032, 20592,25128, 20600,29224, 20648,21544, 20656,25640, 20664,29736, 20712,22056, 20720,26152, 20728,30248, 20776,22568, 20784,26664, 20792,30760, 20840,23080, 20848,27176, 20856,31272, 20904,23592, 20912,27688, 20920,31784, 20968,24104, 20976,28200, 20984,32296, 21040,24680, 21048,28776, 21104,25192, 21112,29288, 21160,21608, 21168,25704, 21176,29800, 21224,22120, 21232,26216, 21240,30312, 21288,22632, 21296,26728, 21304,30824, 21352,23144, 21360,27240, 21368,31336, 21416,23656, 21424,27752, 21432,31848, 21480,24168, 21488,28264, 21496,32360, 21552,24744, 21560,28840, 21616,25256, 21624,29352, 21680,25768, 21688,29864, 21736,22184, 21744,26280, 21752,30376, 21800,22696, 21808,26792, 21816,30888, 21864,23208, 21872,27304, 21880,31400, 21928,23720, 21936,27816, 21944,31912, 21992,24232, 22000,28328, 22008,32424, 22064,24808, 22072,28904, 22128,25320, 22136,29416, 22192,25832, 22200,29928, 22256,26344, 22264,30440, 22312,22760, 22320,26856, 22328,30952, 22376,23272, 22384,27368, 22392,31464, 22440,23784, 22448,27880, 22456,31976, 22504,24296, 22512,28392, 22520,32488, 22576,24872, 22584,28968, 22640,25384, 22648,29480, 22704,25896, 22712,29992, 22768,26408, 22776,30504, 22832,26920, 22840,31016, 22888,23336, 22896,27432, 22904,31528, 22952,23848, 22960,27944, 22968,32040, 23016,24360, 23024,28456, 23032,32552, 23088,24936, 23096,29032, 23152,25448, 23160,29544, 23216,25960, 23224,30056, 23280,26472, 23288,30568, 23344,26984, 23352,31080, 23408,27496, 23416,31592, 23464,23912, 23472,28008, 23480,32104, 23528,24424, 23536,28520, 23544,32616, 23600,25000, 23608,29096, 23664,25512, 23672,29608, 23728,26024, 23736,30120, 23792,26536, 23800,30632, 23856,27048, 23864,31144, 23920,27560, 23928,31656, 23984,28072, 23992,32168, 24040,24488, 24048,28584, 24056,32680, 24112,25064, 24120,29160, 24176,25576, 24184,29672, 24240,26088, 24248,30184, 24304,26600, 24312,30696, 24368,27112, 24376,31208, 24432,27624, 24440,31720, 24496,28136, 24504,32232, 24560,28648, 24568,32744, 24632,28720, 24688,25136, 24696,29232, 24752,25648, 24760,29744, 24816,26160, 24824,30256, 24880,26672, 24888,30768, 24944,27184, 24952,31280, 25008,27696, 25016,31792, 25072,28208, 25080,32304, 25144,28784, 25208,29296, 25264,25712, 25272,29808, 25328,26224, 25336,30320, 25392,26736, 25400,30832, 25456,27248, 25464,31344, 25520,27760, 25528,31856, 25584,28272, 25592,32368, 25656,28848, 25720,29360, 25784,29872, 25840,26288, 25848,30384, 25904,26800, 25912,30896, 25968,27312, 25976,31408, 26032,27824, 26040,31920, 26096,28336, 26104,32432, 26168,28912, 26232,29424, 26296,29936, 26360,30448, 26416,26864, 26424,30960, 26480,27376, 26488,31472, 26544,27888, 26552,31984, 26608,28400, 26616,32496, 26680,28976, 26744,29488, 26808,30000, 26872,30512, 26936,31024, 26992,27440, 27000,31536, 27056,27952, 27064,32048, 27120,28464, 27128,32560, 27192,29040, 27256,29552, 27320,30064, 27384,30576, 27448,31088, 27512,31600, 27568,28016, 27576,32112, 27632,28528, 27640,32624, 27704,29104, 27768,29616, 27832,30128, 27896,30640, 27960,31152, 28024,31664, 28088,32176, 28144,28592, 28152,32688, 28216,29168, 28280,29680, 28344,30192, 28408,30704, 28472,31216, 28536,31728, 28600,32240, 28664,32752, 28792,29240, 28856,29752, 28920,30264, 28984,30776, 29048,31288, 29112,31800, 29176,32312, 29368,29816, 29432,30328, 29496,30840, 29560,31352, 29624,31864, 29688,32376, 29944,30392, 30008,30904, 30072,31416, 30136,31928, 30200,32440, 30520,30968, 30584,31480, 30648,31992, 30712,32504, 31096,31544, 31160,32056, 31224,32568, 31672,32120, 31736,32632, 32248,32696 }; /** * \par * Example code for Floating-point RFFT Twiddle factors Generation: * \par *
TW = exp(2*pi*i*[0:L/2-1]/L - pi/2*i).'* \par * Real and Imag values are in interleaved fashion */ const float32_t twiddleCoef_rfft_32[32] = { 0.0f , 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, 0.857728610f, -0.514102744f, 0.844853565f, -0.534997620f, 0.831469612f, -0.555570233f, 0.817584813f, -0.575808191f, 0.803207531f, -0.595699304f, 0.788346428f, -0.615231591f, 0.773010453f, -0.634393284f, 0.757208847f, -0.653172843f, 0.740951125f, -0.671558955f, 0.724247083f, -0.689540545f, 0.707106781f, -0.707106781f, 0.689540545f, -0.724247083f, 0.671558955f, -0.740951125f, 0.653172843f, -0.757208847f, 0.634393284f, -0.773010453f, 0.615231591f, -0.788346428f, 0.595699304f, -0.803207531f, 0.575808191f, -0.817584813f, 0.555570233f, -0.831469612f, 0.534997620f, -0.844853565f, 0.514102744f, -0.857728610f, 0.492898192f, -0.870086991f, 0.471396737f, -0.881921264f, 0.449611330f, -0.893224301f, 0.427555093f, -0.903989293f, 0.405241314f, -0.914209756f, 0.382683432f, -0.923879533f, 0.359895037f, -0.932992799f, 0.336889853f, -0.941544065f, 0.313681740f, -0.949528181f, 0.290284677f, -0.956940336f, 0.266712757f, -0.963776066f, 0.242980180f, -0.970031253f, 0.219101240f, -0.975702130f, 0.195090322f, -0.980785280f, 0.170961889f, -0.985277642f, 0.146730474f, -0.989176510f, 0.122410675f, -0.992479535f, 0.098017140f, -0.995184727f, 0.073564564f, -0.997290457f, 0.049067674f, -0.998795456f, 0.024541229f, -0.999698819f }; const float32_t twiddleCoef_rfft_512[512] = { 0.000000000f, 1.000000000f, 0.012271538f, 0.999924702f, 0.024541229f, 0.999698819f, 0.036807223f, 0.999322385f, 0.049067674f, 0.998795456f, 0.061320736f, 0.998118113f, 0.073564564f, 0.997290457f, 0.085797312f, 0.996312612f, 0.098017140f, 0.995184727f, 0.110222207f, 0.993906970f, 0.122410675f, 0.992479535f, 0.134580709f, 0.990902635f, 0.146730474f, 0.989176510f, 0.158858143f, 0.987301418f, 0.170961889f, 0.985277642f, 0.183039888f, 0.983105487f, 0.195090322f, 0.980785280f, 0.207111376f, 0.978317371f, 0.219101240f, 0.975702130f, 0.231058108f, 0.972939952f, 0.242980180f, 0.970031253f, 0.254865660f, 0.966976471f, 0.266712757f, 0.963776066f, 0.278519689f, 0.960430519f, 0.290284677f, 0.956940336f, 0.302005949f, 0.953306040f, 0.313681740f, 0.949528181f, 0.325310292f, 0.945607325f, 0.336889853f, 0.941544065f, 0.348418680f, 0.937339012f, 0.359895037f, 0.932992799f, 0.371317194f, 0.928506080f, 0.382683432f, 0.923879533f, 0.393992040f, 0.919113852f, 0.405241314f, 0.914209756f, 0.416429560f, 0.909167983f, 0.427555093f, 0.903989293f, 0.438616239f, 0.898674466f, 0.449611330f, 0.893224301f, 0.460538711f, 0.887639620f, 0.471396737f, 0.881921264f, 0.482183772f, 0.876070094f, 0.492898192f, 0.870086991f, 0.503538384f, 0.863972856f, 0.514102744f, 0.857728610f, 0.524589683f, 0.851355193f, 0.534997620f, 0.844853565f, 0.545324988f, 0.838224706f, 0.555570233f, 0.831469612f, 0.565731811f, 0.824589303f, 0.575808191f, 0.817584813f, 0.585797857f, 0.810457198f, 0.595699304f, 0.803207531f, 0.605511041f, 0.795836905f, 0.615231591f, 0.788346428f, 0.624859488f, 0.780737229f, 0.634393284f, 0.773010453f, 0.643831543f, 0.765167266f, 0.653172843f, 0.757208847f, 0.662415778f, 0.749136395f, 0.671558955f, 0.740951125f, 0.680600998f, 0.732654272f, 0.689540545f, 0.724247083f, 0.698376249f, 0.715730825f, 0.707106781f, 0.707106781f, 0.715730825f, 0.698376249f, 0.724247083f, 0.689540545f, 0.732654272f, 0.680600998f, 0.740951125f, 0.671558955f, 0.749136395f, 0.662415778f, 0.757208847f, 0.653172843f, 0.765167266f, 0.643831543f, 0.773010453f, 0.634393284f, 0.780737229f, 0.624859488f, 0.788346428f, 0.615231591f, 0.795836905f, 0.605511041f, 0.803207531f, 0.595699304f, 0.810457198f, 0.585797857f, 0.817584813f, 0.575808191f, 0.824589303f, 0.565731811f, 0.831469612f, 0.555570233f, 0.838224706f, 0.545324988f, 0.844853565f, 0.534997620f, 0.851355193f, 0.524589683f, 0.857728610f, 0.514102744f, 0.863972856f, 0.503538384f, 0.870086991f, 0.492898192f, 0.876070094f, 0.482183772f, 0.881921264f, 0.471396737f, 0.887639620f, 0.460538711f, 0.893224301f, 0.449611330f, 0.898674466f, 0.438616239f, 0.903989293f, 0.427555093f, 0.909167983f, 0.416429560f, 0.914209756f, 0.405241314f, 0.919113852f, 0.393992040f, 0.923879533f, 0.382683432f, 0.928506080f, 0.371317194f, 0.932992799f, 0.359895037f, 0.937339012f, 0.348418680f, 0.941544065f, 0.336889853f, 0.945607325f, 0.325310292f, 0.949528181f, 0.313681740f, 0.953306040f, 0.302005949f, 0.956940336f, 0.290284677f, 0.960430519f, 0.278519689f, 0.963776066f, 0.266712757f, 0.966976471f, 0.254865660f, 0.970031253f, 0.242980180f, 0.972939952f, 0.231058108f, 0.975702130f, 0.219101240f, 0.978317371f, 0.207111376f, 0.980785280f, 0.195090322f, 0.983105487f, 0.183039888f, 0.985277642f, 0.170961889f, 0.987301418f, 0.158858143f, 0.989176510f, 0.146730474f, 0.990902635f, 0.134580709f, 0.992479535f, 0.122410675f, 0.993906970f, 0.110222207f, 0.995184727f, 0.098017140f, 0.996312612f, 0.085797312f, 0.997290457f, 0.073564564f, 0.998118113f, 0.061320736f, 0.998795456f, 0.049067674f, 0.999322385f, 0.036807223f, 0.999698819f, 0.024541229f, 0.999924702f, 0.012271538f, 1.000000000f, 0.000000000f, 0.999924702f, -0.012271538f, 0.999698819f, -0.024541229f, 0.999322385f, -0.036807223f, 0.998795456f, -0.049067674f, 0.998118113f, -0.061320736f, 0.997290457f, -0.073564564f, 0.996312612f, -0.085797312f, 0.995184727f, -0.098017140f, 0.993906970f, -0.110222207f, 0.992479535f, -0.122410675f, 0.990902635f, -0.134580709f, 0.989176510f, -0.146730474f, 0.987301418f, -0.158858143f, 0.985277642f, -0.170961889f, 0.983105487f, -0.183039888f, 0.980785280f, -0.195090322f, 0.978317371f, -0.207111376f, 0.975702130f, -0.219101240f, 0.972939952f, -0.231058108f, 0.970031253f, -0.242980180f, 0.966976471f, -0.254865660f, 0.963776066f, -0.266712757f, 0.960430519f, -0.278519689f, 0.956940336f, -0.290284677f, 0.953306040f, -0.302005949f, 0.949528181f, -0.313681740f, 0.945607325f, -0.325310292f, 0.941544065f, -0.336889853f, 0.937339012f, -0.348418680f, 0.932992799f, -0.359895037f, 0.928506080f, -0.371317194f, 0.923879533f, -0.382683432f, 0.919113852f, -0.393992040f, 0.914209756f, -0.405241314f, 0.909167983f, -0.416429560f, 0.903989293f, -0.427555093f, 0.898674466f, -0.438616239f, 0.893224301f, -0.449611330f, 0.887639620f, -0.460538711f, 0.881921264f, -0.471396737f, 0.876070094f, -0.482183772f, 0.870086991f, -0.492898192f, 0.863972856f, -0.503538384f, 0.857728610f, -0.514102744f, 0.851355193f, -0.524589683f, 0.844853565f, -0.534997620f, 0.838224706f, -0.545324988f, 0.831469612f, -0.555570233f, 0.824589303f, -0.565731811f, 0.817584813f, -0.575808191f, 0.810457198f, -0.585797857f, 0.803207531f, -0.595699304f, 0.795836905f, -0.605511041f, 0.788346428f, -0.615231591f, 0.780737229f, -0.624859488f, 0.773010453f, -0.634393284f, 0.765167266f, -0.643831543f, 0.757208847f, -0.653172843f, 0.749136395f, -0.662415778f, 0.740951125f, -0.671558955f, 0.732654272f, -0.680600998f, 0.724247083f, -0.689540545f, 0.715730825f, -0.698376249f, 0.707106781f, -0.707106781f, 0.698376249f, -0.715730825f, 0.689540545f, -0.724247083f, 0.680600998f, -0.732654272f, 0.671558955f, -0.740951125f, 0.662415778f, -0.749136395f, 0.653172843f, -0.757208847f, 0.643831543f, -0.765167266f, 0.634393284f, -0.773010453f, 0.624859488f, -0.780737229f, 0.615231591f, -0.788346428f, 0.605511041f, -0.795836905f, 0.595699304f, -0.803207531f, 0.585797857f, -0.810457198f, 0.575808191f, -0.817584813f, 0.565731811f, -0.824589303f, 0.555570233f, -0.831469612f, 0.545324988f, -0.838224706f, 0.534997620f, -0.844853565f, 0.524589683f, -0.851355193f, 0.514102744f, -0.857728610f, 0.503538384f, -0.863972856f, 0.492898192f, -0.870086991f, 0.482183772f, -0.876070094f, 0.471396737f, -0.881921264f, 0.460538711f, -0.887639620f, 0.449611330f, -0.893224301f, 0.438616239f, -0.898674466f, 0.427555093f, -0.903989293f, 0.416429560f, -0.909167983f, 0.405241314f, -0.914209756f, 0.393992040f, -0.919113852f, 0.382683432f, -0.923879533f, 0.371317194f, -0.928506080f, 0.359895037f, -0.932992799f, 0.348418680f, -0.937339012f, 0.336889853f, -0.941544065f, 0.325310292f, -0.945607325f, 0.313681740f, -0.949528181f, 0.302005949f, -0.953306040f, 0.290284677f, -0.956940336f, 0.278519689f, -0.960430519f, 0.266712757f, -0.963776066f, 0.254865660f, -0.966976471f, 0.242980180f, -0.970031253f, 0.231058108f, -0.972939952f, 0.219101240f, -0.975702130f, 0.207111376f, -0.978317371f, 0.195090322f, -0.980785280f, 0.183039888f, -0.983105487f, 0.170961889f, -0.985277642f, 0.158858143f, -0.987301418f, 0.146730474f, -0.989176510f, 0.134580709f, -0.990902635f, 0.122410675f, -0.992479535f, 0.110222207f, -0.993906970f, 0.098017140f, -0.995184727f, 0.085797312f, -0.996312612f, 0.073564564f, -0.997290457f, 0.061320736f, -0.998118113f, 0.049067674f, -0.998795456f, 0.036807223f, -0.999322385f, 0.024541229f, -0.999698819f, 0.012271538f, -0.999924702f }; const float32_t twiddleCoef_rfft_1024[1024] = { 0.000000000f, 1.000000000f, 0.006135885f, 0.999981175f, 0.012271538f, 0.999924702f, 0.018406730f, 0.999830582f, 0.024541229f, 0.999698819f, 0.030674803f, 0.999529418f, 0.036807223f, 0.999322385f, 0.042938257f, 0.999077728f, 0.049067674f, 0.998795456f, 0.055195244f, 0.998475581f, 0.061320736f, 0.998118113f, 0.067443920f, 0.997723067f, 0.073564564f, 0.997290457f, 0.079682438f, 0.996820299f, 0.085797312f, 0.996312612f, 0.091908956f, 0.995767414f, 0.098017140f, 0.995184727f, 0.104121634f, 0.994564571f, 0.110222207f, 0.993906970f, 0.116318631f, 0.993211949f, 0.122410675f, 0.992479535f, 0.128498111f, 0.991709754f, 0.134580709f, 0.990902635f, 0.140658239f, 0.990058210f, 0.146730474f, 0.989176510f, 0.152797185f, 0.988257568f, 0.158858143f, 0.987301418f, 0.164913120f, 0.986308097f, 0.170961889f, 0.985277642f, 0.177004220f, 0.984210092f, 0.183039888f, 0.983105487f, 0.189068664f, 0.981963869f, 0.195090322f, 0.980785280f, 0.201104635f, 0.979569766f, 0.207111376f, 0.978317371f, 0.213110320f, 0.977028143f, 0.219101240f, 0.975702130f, 0.225083911f, 0.974339383f, 0.231058108f, 0.972939952f, 0.237023606f, 0.971503891f, 0.242980180f, 0.970031253f, 0.248927606f, 0.968522094f, 0.254865660f, 0.966976471f, 0.260794118f, 0.965394442f, 0.266712757f, 0.963776066f, 0.272621355f, 0.962121404f, 0.278519689f, 0.960430519f, 0.284407537f, 0.958703475f, 0.290284677f, 0.956940336f, 0.296150888f, 0.955141168f, 0.302005949f, 0.953306040f, 0.307849640f, 0.951435021f, 0.313681740f, 0.949528181f, 0.319502031f, 0.947585591f, 0.325310292f, 0.945607325f, 0.331106306f, 0.943593458f, 0.336889853f, 0.941544065f, 0.342660717f, 0.939459224f, 0.348418680f, 0.937339012f, 0.354163525f, 0.935183510f, 0.359895037f, 0.932992799f, 0.365612998f, 0.930766961f, 0.371317194f, 0.928506080f, 0.377007410f, 0.926210242f, 0.382683432f, 0.923879533f, 0.388345047f, 0.921514039f, 0.393992040f, 0.919113852f, 0.399624200f, 0.916679060f, 0.405241314f, 0.914209756f, 0.410843171f, 0.911706032f, 0.416429560f, 0.909167983f, 0.422000271f, 0.906595705f, 0.427555093f, 0.903989293f, 0.433093819f, 0.901348847f, 0.438616239f, 0.898674466f, 0.444122145f, 0.895966250f, 0.449611330f, 0.893224301f, 0.455083587f, 0.890448723f, 0.460538711f, 0.887639620f, 0.465976496f, 0.884797098f, 0.471396737f, 0.881921264f, 0.476799230f, 0.879012226f, 0.482183772f, 0.876070094f, 0.487550160f, 0.873094978f, 0.492898192f, 0.870086991f, 0.498227667f, 0.867046246f, 0.503538384f, 0.863972856f, 0.508830143f, 0.860866939f, 0.514102744f, 0.857728610f, 0.519355990f, 0.854557988f, 0.524589683f, 0.851355193f, 0.529803625f, 0.848120345f, 0.534997620f, 0.844853565f, 0.540171473f, 0.841554977f, 0.545324988f, 0.838224706f, 0.550457973f, 0.834862875f, 0.555570233f, 0.831469612f, 0.560661576f, 0.828045045f, 0.565731811f, 0.824589303f, 0.570780746f, 0.821102515f, 0.575808191f, 0.817584813f, 0.580813958f, 0.814036330f, 0.585797857f, 0.810457198f, 0.590759702f, 0.806847554f, 0.595699304f, 0.803207531f, 0.600616479f, 0.799537269f, 0.605511041f, 0.795836905f, 0.610382806f, 0.792106577f, 0.615231591f, 0.788346428f, 0.620057212f, 0.784556597f, 0.624859488f, 0.780737229f, 0.629638239f, 0.776888466f, 0.634393284f, 0.773010453f, 0.639124445f, 0.769103338f, 0.643831543f, 0.765167266f, 0.648514401f, 0.761202385f, 0.653172843f, 0.757208847f, 0.657806693f, 0.753186799f, 0.662415778f, 0.749136395f, 0.666999922f, 0.745057785f, 0.671558955f, 0.740951125f, 0.676092704f, 0.736816569f, 0.680600998f, 0.732654272f, 0.685083668f, 0.728464390f, 0.689540545f, 0.724247083f, 0.693971461f, 0.720002508f, 0.698376249f, 0.715730825f, 0.702754744f, 0.711432196f, 0.707106781f, 0.707106781f, 0.711432196f, 0.702754744f, 0.715730825f, 0.698376249f, 0.720002508f, 0.693971461f, 0.724247083f, 0.689540545f, 0.728464390f, 0.685083668f, 0.732654272f, 0.680600998f, 0.736816569f, 0.676092704f, 0.740951125f, 0.671558955f, 0.745057785f, 0.666999922f, 0.749136395f, 0.662415778f, 0.753186799f, 0.657806693f, 0.757208847f, 0.653172843f, 0.761202385f, 0.648514401f, 0.765167266f, 0.643831543f, 0.769103338f, 0.639124445f, 0.773010453f, 0.634393284f, 0.776888466f, 0.629638239f, 0.780737229f, 0.624859488f, 0.784556597f, 0.620057212f, 0.788346428f, 0.615231591f, 0.792106577f, 0.610382806f, 0.795836905f, 0.605511041f, 0.799537269f, 0.600616479f, 0.803207531f, 0.595699304f, 0.806847554f, 0.590759702f, 0.810457198f, 0.585797857f, 0.814036330f, 0.580813958f, 0.817584813f, 0.575808191f, 0.821102515f, 0.570780746f, 0.824589303f, 0.565731811f, 0.828045045f, 0.560661576f, 0.831469612f, 0.555570233f, 0.834862875f, 0.550457973f, 0.838224706f, 0.545324988f, 0.841554977f, 0.540171473f, 0.844853565f, 0.534997620f, 0.848120345f, 0.529803625f, 0.851355193f, 0.524589683f, 0.854557988f, 0.519355990f, 0.857728610f, 0.514102744f, 0.860866939f, 0.508830143f, 0.863972856f, 0.503538384f, 0.867046246f, 0.498227667f, 0.870086991f, 0.492898192f, 0.873094978f, 0.487550160f, 0.876070094f, 0.482183772f, 0.879012226f, 0.476799230f, 0.881921264f, 0.471396737f, 0.884797098f, 0.465976496f, 0.887639620f, 0.460538711f, 0.890448723f, 0.455083587f, 0.893224301f, 0.449611330f, 0.895966250f, 0.444122145f, 0.898674466f, 0.438616239f, 0.901348847f, 0.433093819f, 0.903989293f, 0.427555093f, 0.906595705f, 0.422000271f, 0.909167983f, 0.416429560f, 0.911706032f, 0.410843171f, 0.914209756f, 0.405241314f, 0.916679060f, 0.399624200f, 0.919113852f, 0.393992040f, 0.921514039f, 0.388345047f, 0.923879533f, 0.382683432f, 0.926210242f, 0.377007410f, 0.928506080f, 0.371317194f, 0.930766961f, 0.365612998f, 0.932992799f, 0.359895037f, 0.935183510f, 0.354163525f, 0.937339012f, 0.348418680f, 0.939459224f, 0.342660717f, 0.941544065f, 0.336889853f, 0.943593458f, 0.331106306f, 0.945607325f, 0.325310292f, 0.947585591f, 0.319502031f, 0.949528181f, 0.313681740f, 0.951435021f, 0.307849640f, 0.953306040f, 0.302005949f, 0.955141168f, 0.296150888f, 0.956940336f, 0.290284677f, 0.958703475f, 0.284407537f, 0.960430519f, 0.278519689f, 0.962121404f, 0.272621355f, 0.963776066f, 0.266712757f, 0.965394442f, 0.260794118f, 0.966976471f, 0.254865660f, 0.968522094f, 0.248927606f, 0.970031253f, 0.242980180f, 0.971503891f, 0.237023606f, 0.972939952f, 0.231058108f, 0.974339383f, 0.225083911f, 0.975702130f, 0.219101240f, 0.977028143f, 0.213110320f, 0.978317371f, 0.207111376f, 0.979569766f, 0.201104635f, 0.980785280f, 0.195090322f, 0.981963869f, 0.189068664f, 0.983105487f, 0.183039888f, 0.984210092f, 0.177004220f, 0.985277642f, 0.170961889f, 0.986308097f, 0.164913120f, 0.987301418f, 0.158858143f, 0.988257568f, 0.152797185f, 0.989176510f, 0.146730474f, 0.990058210f, 0.140658239f, 0.990902635f, 0.134580709f, 0.991709754f, 0.128498111f, 0.992479535f, 0.122410675f, 0.993211949f, 0.116318631f, 0.993906970f, 0.110222207f, 0.994564571f, 0.104121634f, 0.995184727f, 0.098017140f, 0.995767414f, 0.091908956f, 0.996312612f, 0.085797312f, 0.996820299f, 0.079682438f, 0.997290457f, 0.073564564f, 0.997723067f, 0.067443920f, 0.998118113f, 0.061320736f, 0.998475581f, 0.055195244f, 0.998795456f, 0.049067674f, 0.999077728f, 0.042938257f, 0.999322385f, 0.036807223f, 0.999529418f, 0.030674803f, 0.999698819f, 0.024541229f, 0.999830582f, 0.018406730f, 0.999924702f, 0.012271538f, 0.999981175f, 0.006135885f, 1.000000000f, 0.000000000f, 0.999981175f, -0.006135885f, 0.999924702f, -0.012271538f, 0.999830582f, -0.018406730f, 0.999698819f, -0.024541229f, 0.999529418f, -0.030674803f, 0.999322385f, -0.036807223f, 0.999077728f, -0.042938257f, 0.998795456f, -0.049067674f, 0.998475581f, -0.055195244f, 0.998118113f, -0.061320736f, 0.997723067f, -0.067443920f, 0.997290457f, -0.073564564f, 0.996820299f, -0.079682438f, 0.996312612f, -0.085797312f, 0.995767414f, -0.091908956f, 0.995184727f, -0.098017140f, 0.994564571f, -0.104121634f, 0.993906970f, -0.110222207f, 0.993211949f, -0.116318631f, 0.992479535f, -0.122410675f, 0.991709754f, -0.128498111f, 0.990902635f, -0.134580709f, 0.990058210f, -0.140658239f, 0.989176510f, -0.146730474f, 0.988257568f, -0.152797185f, 0.987301418f, -0.158858143f, 0.986308097f, -0.164913120f, 0.985277642f, -0.170961889f, 0.984210092f, -0.177004220f, 0.983105487f, 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0.319502031f, -0.947585591f, 0.313681740f, -0.949528181f, 0.307849640f, -0.951435021f, 0.302005949f, -0.953306040f, 0.296150888f, -0.955141168f, 0.290284677f, -0.956940336f, 0.284407537f, -0.958703475f, 0.278519689f, -0.960430519f, 0.272621355f, -0.962121404f, 0.266712757f, -0.963776066f, 0.260794118f, -0.965394442f, 0.254865660f, -0.966976471f, 0.248927606f, -0.968522094f, 0.242980180f, -0.970031253f, 0.237023606f, -0.971503891f, 0.231058108f, -0.972939952f, 0.225083911f, -0.974339383f, 0.219101240f, -0.975702130f, 0.213110320f, -0.977028143f, 0.207111376f, -0.978317371f, 0.201104635f, -0.979569766f, 0.195090322f, -0.980785280f, 0.189068664f, -0.981963869f, 0.183039888f, -0.983105487f, 0.177004220f, -0.984210092f, 0.170961889f, -0.985277642f, 0.164913120f, -0.986308097f, 0.158858143f, -0.987301418f, 0.152797185f, -0.988257568f, 0.146730474f, -0.989176510f, 0.140658239f, -0.990058210f, 0.134580709f, -0.990902635f, 0.128498111f, -0.991709754f, 0.122410675f, -0.992479535f, 0.116318631f, -0.993211949f, 0.110222207f, -0.993906970f, 0.104121634f, -0.994564571f, 0.098017140f, -0.995184727f, 0.091908956f, -0.995767414f, 0.085797312f, -0.996312612f, 0.079682438f, -0.996820299f, 0.073564564f, -0.997290457f, 0.067443920f, -0.997723067f, 0.061320736f, -0.998118113f, 0.055195244f, -0.998475581f, 0.049067674f, -0.998795456f, 0.042938257f, -0.999077728f, 0.036807223f, -0.999322385f, 0.030674803f, -0.999529418f, 0.024541229f, -0.999698819f, 0.018406730f, -0.999830582f, 0.012271538f, -0.999924702f, 0.006135885f, -0.999981175f }; const float32_t twiddleCoef_rfft_2048[2048] = { 0.000000000f, 1.000000000f, 0.003067957f, 0.999995294f, 0.006135885f, 0.999981175f, 0.009203755f, 0.999957645f, 0.012271538f, 0.999924702f, 0.015339206f, 0.999882347f, 0.018406730f, 0.999830582f, 0.021474080f, 0.999769405f, 0.024541229f, 0.999698819f, 0.027608146f, 0.999618822f, 0.030674803f, 0.999529418f, 0.033741172f, 0.999430605f, 0.036807223f, 0.999322385f, 0.039872928f, 0.999204759f, 0.042938257f, 0.999077728f, 0.046003182f, 0.998941293f, 0.049067674f, 0.998795456f, 0.052131705f, 0.998640218f, 0.055195244f, 0.998475581f, 0.058258265f, 0.998301545f, 0.061320736f, 0.998118113f, 0.064382631f, 0.997925286f, 0.067443920f, 0.997723067f, 0.070504573f, 0.997511456f, 0.073564564f, 0.997290457f, 0.076623861f, 0.997060070f, 0.079682438f, 0.996820299f, 0.082740265f, 0.996571146f, 0.085797312f, 0.996312612f, 0.088853553f, 0.996044701f, 0.091908956f, 0.995767414f, 0.094963495f, 0.995480755f, 0.098017140f, 0.995184727f, 0.101069863f, 0.994879331f, 0.104121634f, 0.994564571f, 0.107172425f, 0.994240449f, 0.110222207f, 0.993906970f, 0.113270952f, 0.993564136f, 0.116318631f, 0.993211949f, 0.119365215f, 0.992850414f, 0.122410675f, 0.992479535f, 0.125454983f, 0.992099313f, 0.128498111f, 0.991709754f, 0.131540029f, 0.991310860f, 0.134580709f, 0.990902635f, 0.137620122f, 0.990485084f, 0.140658239f, 0.990058210f, 0.143695033f, 0.989622017f, 0.146730474f, 0.989176510f, 0.149764535f, 0.988721692f, 0.152797185f, 0.988257568f, 0.155828398f, 0.987784142f, 0.158858143f, 0.987301418f, 0.161886394f, 0.986809402f, 0.164913120f, 0.986308097f, 0.167938295f, 0.985797509f, 0.170961889f, 0.985277642f, 0.173983873f, 0.984748502f, 0.177004220f, 0.984210092f, 0.180022901f, 0.983662419f, 0.183039888f, 0.983105487f, 0.186055152f, 0.982539302f, 0.189068664f, 0.981963869f, 0.192080397f, 0.981379193f, 0.195090322f, 0.980785280f, 0.198098411f, 0.980182136f, 0.201104635f, 0.979569766f, 0.204108966f, 0.978948175f, 0.207111376f, 0.978317371f, 0.210111837f, 0.977677358f, 0.213110320f, 0.977028143f, 0.216106797f, 0.976369731f, 0.219101240f, 0.975702130f, 0.222093621f, 0.975025345f, 0.225083911f, 0.974339383f, 0.228072083f, 0.973644250f, 0.231058108f, 0.972939952f, 0.234041959f, 0.972226497f, 0.237023606f, 0.971503891f, 0.240003022f, 0.970772141f, 0.242980180f, 0.970031253f, 0.245955050f, 0.969281235f, 0.248927606f, 0.968522094f, 0.251897818f, 0.967753837f, 0.254865660f, 0.966976471f, 0.257831102f, 0.966190003f, 0.260794118f, 0.965394442f, 0.263754679f, 0.964589793f, 0.266712757f, 0.963776066f, 0.269668326f, 0.962953267f, 0.272621355f, 0.962121404f, 0.275571819f, 0.961280486f, 0.278519689f, 0.960430519f, 0.281464938f, 0.959571513f, 0.284407537f, 0.958703475f, 0.287347460f, 0.957826413f, 0.290284677f, 0.956940336f, 0.293219163f, 0.956045251f, 0.296150888f, 0.955141168f, 0.299079826f, 0.954228095f, 0.302005949f, 0.953306040f, 0.304929230f, 0.952375013f, 0.307849640f, 0.951435021f, 0.310767153f, 0.950486074f, 0.313681740f, 0.949528181f, 0.316593376f, 0.948561350f, 0.319502031f, 0.947585591f, 0.322407679f, 0.946600913f, 0.325310292f, 0.945607325f, 0.328209844f, 0.944604837f, 0.331106306f, 0.943593458f, 0.333999651f, 0.942573198f, 0.336889853f, 0.941544065f, 0.339776884f, 0.940506071f, 0.342660717f, 0.939459224f, 0.345541325f, 0.938403534f, 0.348418680f, 0.937339012f, 0.351292756f, 0.936265667f, 0.354163525f, 0.935183510f, 0.357030961f, 0.934092550f, 0.359895037f, 0.932992799f, 0.362755724f, 0.931884266f, 0.365612998f, 0.930766961f, 0.368466830f, 0.929640896f, 0.371317194f, 0.928506080f, 0.374164063f, 0.927362526f, 0.377007410f, 0.926210242f, 0.379847209f, 0.925049241f, 0.382683432f, 0.923879533f, 0.385516054f, 0.922701128f, 0.388345047f, 0.921514039f, 0.391170384f, 0.920318277f, 0.393992040f, 0.919113852f, 0.396809987f, 0.917900776f, 0.399624200f, 0.916679060f, 0.402434651f, 0.915448716f, 0.405241314f, 0.914209756f, 0.408044163f, 0.912962190f, 0.410843171f, 0.911706032f, 0.413638312f, 0.910441292f, 0.416429560f, 0.909167983f, 0.419216888f, 0.907886116f, 0.422000271f, 0.906595705f, 0.424779681f, 0.905296759f, 0.427555093f, 0.903989293f, 0.430326481f, 0.902673318f, 0.433093819f, 0.901348847f, 0.435857080f, 0.900015892f, 0.438616239f, 0.898674466f, 0.441371269f, 0.897324581f, 0.444122145f, 0.895966250f, 0.446868840f, 0.894599486f, 0.449611330f, 0.893224301f, 0.452349587f, 0.891840709f, 0.455083587f, 0.890448723f, 0.457813304f, 0.889048356f, 0.460538711f, 0.887639620f, 0.463259784f, 0.886222530f, 0.465976496f, 0.884797098f, 0.468688822f, 0.883363339f, 0.471396737f, 0.881921264f, 0.474100215f, 0.880470889f, 0.476799230f, 0.879012226f, 0.479493758f, 0.877545290f, 0.482183772f, 0.876070094f, 0.484869248f, 0.874586652f, 0.487550160f, 0.873094978f, 0.490226483f, 0.871595087f, 0.492898192f, 0.870086991f, 0.495565262f, 0.868570706f, 0.498227667f, 0.867046246f, 0.500885383f, 0.865513624f, 0.503538384f, 0.863972856f, 0.506186645f, 0.862423956f, 0.508830143f, 0.860866939f, 0.511468850f, 0.859301818f, 0.514102744f, 0.857728610f, 0.516731799f, 0.856147328f, 0.519355990f, 0.854557988f, 0.521975293f, 0.852960605f, 0.524589683f, 0.851355193f, 0.527199135f, 0.849741768f, 0.529803625f, 0.848120345f, 0.532403128f, 0.846490939f, 0.534997620f, 0.844853565f, 0.537587076f, 0.843208240f, 0.540171473f, 0.841554977f, 0.542750785f, 0.839893794f, 0.545324988f, 0.838224706f, 0.547894059f, 0.836547727f, 0.550457973f, 0.834862875f, 0.553016706f, 0.833170165f, 0.555570233f, 0.831469612f, 0.558118531f, 0.829761234f, 0.560661576f, 0.828045045f, 0.563199344f, 0.826321063f, 0.565731811f, 0.824589303f, 0.568258953f, 0.822849781f, 0.570780746f, 0.821102515f, 0.573297167f, 0.819347520f, 0.575808191f, 0.817584813f, 0.578313796f, 0.815814411f, 0.580813958f, 0.814036330f, 0.583308653f, 0.812250587f, 0.585797857f, 0.810457198f, 0.588281548f, 0.808656182f, 0.590759702f, 0.806847554f, 0.593232295f, 0.805031331f, 0.595699304f, 0.803207531f, 0.598160707f, 0.801376172f, 0.600616479f, 0.799537269f, 0.603066599f, 0.797690841f, 0.605511041f, 0.795836905f, 0.607949785f, 0.793975478f, 0.610382806f, 0.792106577f, 0.612810082f, 0.790230221f, 0.615231591f, 0.788346428f, 0.617647308f, 0.786455214f, 0.620057212f, 0.784556597f, 0.622461279f, 0.782650596f, 0.624859488f, 0.780737229f, 0.627251815f, 0.778816512f, 0.629638239f, 0.776888466f, 0.632018736f, 0.774953107f, 0.634393284f, 0.773010453f, 0.636761861f, 0.771060524f, 0.639124445f, 0.769103338f, 0.641481013f, 0.767138912f, 0.643831543f, 0.765167266f, 0.646176013f, 0.763188417f, 0.648514401f, 0.761202385f, 0.650846685f, 0.759209189f, 0.653172843f, 0.757208847f, 0.655492853f, 0.755201377f, 0.657806693f, 0.753186799f, 0.660114342f, 0.751165132f, 0.662415778f, 0.749136395f, 0.664710978f, 0.747100606f, 0.666999922f, 0.745057785f, 0.669282588f, 0.743007952f, 0.671558955f, 0.740951125f, 0.673829000f, 0.738887324f, 0.676092704f, 0.736816569f, 0.678350043f, 0.734738878f, 0.680600998f, 0.732654272f, 0.682845546f, 0.730562769f, 0.685083668f, 0.728464390f, 0.687315341f, 0.726359155f, 0.689540545f, 0.724247083f, 0.691759258f, 0.722128194f, 0.693971461f, 0.720002508f, 0.696177131f, 0.717870045f, 0.698376249f, 0.715730825f, 0.700568794f, 0.713584869f, 0.702754744f, 0.711432196f, 0.704934080f, 0.709272826f, 0.707106781f, 0.707106781f, 0.709272826f, 0.704934080f, 0.711432196f, 0.702754744f, 0.713584869f, 0.700568794f, 0.715730825f, 0.698376249f, 0.717870045f, 0.696177131f, 0.720002508f, 0.693971461f, 0.722128194f, 0.691759258f, 0.724247083f, 0.689540545f, 0.726359155f, 0.687315341f, 0.728464390f, 0.685083668f, 0.730562769f, 0.682845546f, 0.732654272f, 0.680600998f, 0.734738878f, 0.678350043f, 0.736816569f, 0.676092704f, 0.738887324f, 0.673829000f, 0.740951125f, 0.671558955f, 0.743007952f, 0.669282588f, 0.745057785f, 0.666999922f, 0.747100606f, 0.664710978f, 0.749136395f, 0.662415778f, 0.751165132f, 0.660114342f, 0.753186799f, 0.657806693f, 0.755201377f, 0.655492853f, 0.757208847f, 0.653172843f, 0.759209189f, 0.650846685f, 0.761202385f, 0.648514401f, 0.763188417f, 0.646176013f, 0.765167266f, 0.643831543f, 0.767138912f, 0.641481013f, 0.769103338f, 0.639124445f, 0.771060524f, 0.636761861f, 0.773010453f, 0.634393284f, 0.774953107f, 0.632018736f, 0.776888466f, 0.629638239f, 0.778816512f, 0.627251815f, 0.780737229f, 0.624859488f, 0.782650596f, 0.622461279f, 0.784556597f, 0.620057212f, 0.786455214f, 0.617647308f, 0.788346428f, 0.615231591f, 0.790230221f, 0.612810082f, 0.792106577f, 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